Finite Group Databasebeta

← #11904602

Subgroups — #11904602

Order 1152.

4974 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64366C211yesmaximal, characteristic, complemented
2C22×#3832C211yesmaximal, characteristic, complemented
3C32×#548C211yesmaximal, characteristic, complemented
4#10596305C211yesmaximal, characteristic, complemented
5#10596288C211yesmaximal, characteristic, complemented
6#10596147C213yesmaximal, complemented
7#10596145C213yesmaximal, complemented
8#10596101C213yesmaximal, complemented
9#10596100C213yesmaximal, complemented
10#10596080C213yesmaximal, complemented
11C3⋊D3×#121C213yesmaximal, complemented
12#10596048C211yesmaximal, characteristic, complemented
13#10596045C211yesmaximal, characteristic, complemented
14D4×C4⋊(C3⋊D3)C213yesmaximal, complemented
15#10596018C213yesmaximal, complemented
16#86713—34nomaximal
17C2×C32×#41C2211yescharacteristic, complemented
18C22×C32×Q8C2211yescharacteristic, complemented
19#64366—28no—
20C2×#3832—28no—
21C2×#3832C2211yescharacteristic
22C2×#3832C2213yescomplemented
23C2×#3832C2213yescomplemented
24C2×#3832C2211yescharacteristic, complemented
25C2×#3832C2211yescharacteristic, complemented
26C2×D4×C3⋊D3C2213yescomplemented
27C2×D4×C3⋊D3C2213yescomplemented
28C2×D4×C3⋊D3C2216yescomplemented
29C2×#3828C2213yescomplemented
30C22×C4⋊(C3⋊D3)C2213yescomplemented
31C22×C4⋊(C3⋊D3)C2213yescomplemented
32C22×C4×C3⋊D3C2213yescomplemented
33C32×#124C2213yescomplemented
34C32×C22⋊Q8C2213yescomplemented
35C32×#121C2213yescomplemented
36C32×C4×Q8C2211yescharacteristic, complemented
37C32×C4×D4C2213yescomplemented
38#64156C2213yescomplemented
39#64155C2213yescomplemented
40Q8×C3⋊Dic3C2211yescharacteristic, complemented
41#64149C2213yescomplemented
42#64148C2213yescomplemented
43#64147C2213yescomplemented
44#64146C2213yescomplemented
45#64139C2213yescomplemented
46#64139C2213yescomplemented
47C4×#638C2213yescomplemented
48C4×#638C2213yescomplemented
49#64105C2213yescomplemented
50#64104C2216yescomplemented
51#64104C2213yescomplemented
52#64104C2213yescomplemented
53#64103C2213yescomplemented
54#64102C2213yescomplemented
55C4⋊C4×C3⋊D3C2213yescomplemented
56#64093C2216yescomplemented
57#64093C2216yescomplemented
58#64093C2213yescomplemented
59#64092C2213yescomplemented
60#64091C2216yescomplemented
61#64091C2216yescomplemented
62#64091C2213yescomplemented
63C22⋊C4×C3⋊D3C2216yescomplemented
64#64087C2211yescharacteristic, complemented
65#64083C2213yescomplemented
66C4×C4⋊(C3⋊D3)C2213yescomplemented
67C4×C4⋊(C3⋊D3)C2213yescomplemented
68#64081C2213yescomplemented
69C2×#1009—34no—
70C22×#239—34no—
71C3×#548D314yescomplemented
72#5834—34no—
73#5817—34no—
74#5676—312no—
75#5674—312no—
76#5630—312no—
77#5629—312no—
78#5609—312no—
79D3×#121—312no—
80#5577—34no—
81#5574—34no—
82D4×D12—312no—
83#5547—312no—
84C23×C3⋊D3C2313yes—
85C23×C3⋊D3C2316yes—
86C32×#41—24no—
87C2×C32×Q8—24no—
88C2×C32×Q8C2313yes—
89C2×C32×Q8C2311yescharacteristic
90C2×C32×D4C2313yes—
91C2×C32×D4C2313yes—
92C22×C32×C4C2313yes—
93C22×C32×C4C2313yes—
94C2×#638C2313yes—
95C2×#638C2313yes—
96C2×#638C2313yes—
97C2×#638C2313yes—
98C2×#638C2316yes—
99C22×C3⋊Dic3C2311yescharacteristic
100#3832—24no—
101#3832—24no—
102#3832—212no—
103#3832—212no—
104#3832D418yescomplemented
105D4×C3⋊D3—212no—
106D4×C3⋊D3—212no—
107D4×C3⋊D3—412no—
108#3828—212no—
109C2×C4⋊(C3⋊D3)—212no—
110C2×C4⋊(C3⋊D3)—212no—
111C2×C4⋊(C3⋊D3)C2313yes—
112C2×C4⋊(C3⋊D3)C2313yes—
113C2×C4⋊(C3⋊D3)C2316yes—
114C2×C4⋊(C3⋊D3)C2313yes—
115C2×C4⋊(C3⋊D3)C2313yes—
116C2×C4⋊(C3⋊D3)C2316yes—
117C2×C4⋊(C3⋊D3)C2313yes—
118C2×C4×C3⋊D3—212no—
119C2×C4×C3⋊D3C2313yes—
120C2×C4×C3⋊D3C2313yes—
121C2×C4×C3⋊D3C2313yes—
122C2×C4×C3⋊D3C2313yes—
123C2×C4×C3⋊D3C2316yes—
124C2×C4×C3⋊D3C2313yes—
125C2×#634C2311yescharacteristic
126C32×C4⋊C4C2313yes—
127C32×C4⋊C4C2313yes—
128C32×C22⋊C4C2311yescharacteristic
129C32×C22⋊C4C2316yes—
130C32×C22⋊C4C2313yes—
131C32×C42C2313yes—
132#3757C2311yescharacteristic
133#3757C2313yes—
134#3752C2313yes—
135#3752C2313yes—
136#3752C2313yes—
137#3752C2313yes—
138#3752C2316yes—
139#3752C2313yes—
140#3752C2313yes—
141C4⋊(C3⋊Dic3)C2311yescharacteristic
142C4⋊(C3⋊Dic3)C2313yes—
143#3750C2311yescharacteristic
144#3750C2313yes—
145#3750C2311yescharacteristic
146#3750C2313yes—
147C4×C3⋊Dic3C2313yes—
148#3488—91noSylow
149C2×C3×#41C2×D314yescomplemented
150C22×C3×Q8C2×D314yescomplemented
151#1009—632no—
152C2×#239—34no—
153C2×#239—312no—
154C2×#239—312no—
155C2×#239—34no—
156C2×#239—34no—
157C2×#239—632no—
158C2×D3×D4—312no—
159C2×D3×D4—312no—
160C2×D3×D4—324no—
161C2×#235—312no—
162C22×D12—312no—
163C22×D12—312no—
164C22×C4×D3—312no—
165C3×#124C2×D3112yescomplemented
166C3×C22⋊Q8C2×D3112yescomplemented
167C3×#121C2×D3112yescomplemented
168C3×C4×Q8C2×D314yescomplemented
169C3×C4×D4C2×D3112yescomplemented
170#947—312no—
171#946—312no—
172Q8×Dic3—34no—
173#940—312no—
174#939—312no—
175#938—312no—
176#937—312no—
177#930—312no—
178#930—312no—
179C4×#67—312no—
180C4×#67—312no—
181#896—312no—
182#895—324no—
183#895—312no—
184#895—312no—
185#894—312no—
186#893—312no—
187D3×C4⋊C4—312no—
188#884—312no—
189#884—324no—
190#884—324no—
191#883—312no—
192#882—324no—
193#882—324no—
194#882—312no—
195D3×C22⋊C4—324no—
196#878—34no—
197#874—312no—
198C4×D12—312no—
199C4×D12—312no—
200#872—312no—
201C23×C32C2413yes—
202C23×C32C2411yescharacteristic
203C22×C3⋊D3—26no—
204C22×C3⋊D3—26no—
205C22×C3⋊D3—212no—
206C22×C3⋊D3—43no—
207C22×C3⋊D3—46no—
208C22×C3⋊D3—46no—
209C22×C3⋊D3C2413yes—
210C22×C3⋊D3C2413yes—
211C22×C3⋊D3C2413yes—
212C32×Q8—26no—
213C32×Q8C2×D414yescomplemented
214C32×D4—26no—
215C32×D4—26no—
216C2×C32×C4—26no—
217C2×C32×C4—26no—
218C2×C32×C4C2411yescharacteristic
219C2×C32×C4C2413yes—
220C2×C32×C4C2413yes—
221C2×C32×C4C2411yescharacteristic
222C2×C32×C4C2413yes—
223#638—26no—
224#638—26no—
225#638—26no—
226#638—46no—
227#638—43no—
228C2×C3⋊Dic3—22no—
229C2×C3⋊Dic3C2411yescharacteristic
230C2×C3⋊Dic3C2413yes—
231C2×C3⋊Dic3C2411yescharacteristic
232C2×C3⋊Dic3C2411yescharacteristic
233C2×C3⋊Dic3C2411yescharacteristic
234C4⋊(C3⋊D3)—26no—
235C4⋊(C3⋊D3)—212no—
236C4⋊(C3⋊D3)—26no—
237C4⋊(C3⋊D3)—26no—
238C4⋊(C3⋊D3)—43no—
239C4⋊(C3⋊D3)—46no—
240C4⋊(C3⋊D3)C2×D4112yescomplemented
241C4×C3⋊D3—26no—
242C4×C3⋊D3—26no—
243C4×C3⋊D3—26no—
244C4×C3⋊D3—26no—
245C4×C3⋊D3—46no—
246C4×C3⋊D3C2×D4112yescomplemented
247#634—22no—
248C2×H(5,𝔽2)—91no—
249C22×#41—91no—
250#550—91no—
251#550—91no—
252#548—91no—
253#548C3⋊D311yescharacteristic, complemented
254#546—93no—
255#546—93no—
256D42—93no—
257D42—93no—
258#537—93no—
259#535—93no—
260#525—93no—
261C2×#121—93no—
262#520—91no—
263C23×D3—312no—
264C23×D3—324no—
265C3×#41—216no—
266C2×C3×Q8—216no—
267C2×C3×Q8C22×D3112yes—
268C2×C3×Q8C22×D314yes—
269C2×C3×D4C22×D3112yes—
270C2×C3×D4C22×D3112yes—
271C22×C3×C4C22×D3112yes—
272C22×C3×C4C22×D3112yes—
273C2×#67—312no—
274C2×#67—312no—
275C2×#67—312no—
276C2×#67—312no—
277C2×#67—324no—
278C22×Dic3—34no—
279#239—332no—
280#239—648no—
281#239—648no—
282#239—616no—
283#239—616no—
284D3×D4—648no—
285D3×D4—648no—
286D3×D4—1248no—
287#235—648no—
288C2×D12—312no—
289C2×D12—312no—
290C2×D12—312no—
291C2×D12—324no—
292C2×D12—312no—
293C2×D12—312no—
294C2×D12—324no—
295C2×D12—648no—
296C2×D12—648no—
297C2×C4×D3—312no—
298C2×C4×D3—312no—
299C2×C4×D3—312no—
300C2×C4×D3—312no—
301C2×C4×D3—312no—
302C2×C4×D3—324no—
303C2×C4×D3—648no—
304C2×Dic6—34no—
305C3×C4⋊C4C22×D3112yes—
306C3×C4⋊C4C22×D3112yes—
307C3×C22⋊C4C22×D314yes—
308C3×C22⋊C4C22×D3124yes—
309C3×C22⋊C4C22×D3112yes—
310C3×C42C22×D3112yes—
311#217—34no—
312#217—312no—
313(C2×D3)⋊C4—312no—
314(C2×D3)⋊C4—312no—
315(C2×D3)⋊C4—312no—
316(C2×D3)⋊C4—312no—
317(C2×D3)⋊C4—324no—
318(C2×D3)⋊C4—312no—
319(C2×D3)⋊C4—312no—
320C4⋊Dic3—34no—
321C4⋊Dic3—312no—
322Dic3⋊C4—34no—
323Dic3⋊C4—312no—
324Dic3⋊C4—34no—
325Dic3⋊C4—312no—
326C4×Dic3—312no—
327C22×C32—21no—
328C22×C32—21no—
329C22×C32—23no—
330C22×C32—23no—
331C22×C32—23no—
332C22×C32H(5,𝔽2)12yescomplemented
333C22×C32C2511yescharacteristic
334C2×C3⋊D3—23no—
335C2×C3⋊D3—23no—
336C2×C3⋊D3—23no—
337C2×C3⋊D3—23no—
338C2×C3⋊D3—23no—
339C2×C3⋊D3—23no—
340C2×C3⋊D3—23no—
341C2×C3⋊D3—23no—
342C2×C3⋊D3—412no—
343C2×C3⋊D3—812no—
344C2×C3⋊D3C22×D416yes—
345C32×C4—21no—
346C32×C4—23no—
347C32×C4—23no—
348C32×C4—21no—
349C32×C4C22×D416yes—
350C3⋊Dic3—21no—
351C3⋊Dic3—21no—
352C3⋊Dic3—23no—
353C3⋊Dic3—21no—
354C3⋊Dic3C22×D412yes—
355H(5,𝔽2)—188no—
356C2×#41—91no—
357C2×#41—93no—
358C2×#41—93no—
359C2×#41—91no—
360C2×#41—91no—
361C2×#41—93no—
362C2×#41—188no—
363C2×#41C2×C3⋊D311yescharacteristic, complemented
364C22×Q8C2×C3⋊D311yescharacteristic, complemented
365C22×D4—93no—
366C22×D4—93no—
367C22×D4—96no—
368C22×D4—93no—
369C22×D4—93no—
370C23×C4—93no—
371#127—93no—
372#127—93no—
373#124—93no—
374#124C2×C3⋊D313yescomplemented
375#123—93no—
376#123—93no—
377C22⋊Q8—93no—
378C22⋊Q8—93no—
379C22⋊Q8—91no—
380C22⋊Q8C2×C3⋊D313yescomplemented
381#121—93no—
382#121—93no—
383#121—93no—
384#121—93no—
385#121—93no—
386#121—96no—
387#121—93no—
388#121—96no—
389#121—93no—
390#121—96no—
391#121C2×C3⋊D313yescomplemented
392#120—93no—
393#120—93no—
394#120—96no—
395#120—96no—
396C4×Q8—91no—
397C4×Q8C2×C3⋊D311yescharacteristic, complemented
398C4×D4—93no—
399C4×D4—93no—
400C4×D4—93no—
401C4×D4—93no—
402C4×D4—93no—
403C4×D4C2×C3⋊D313yescomplemented
404#117—93no—
405C2×C4⋊C4—93no—
406C2×C22⋊C4—96no—
407C23×C3C23×D3112yes—
408C23×C3C23×D314yes—
409C22×D3—312no—
410C22×D3—312no—
411C22×D3—312no—
412C22×D3—624no—
413C22×D3—648no—
414C22×D3—624no—
415C22×D3—1212no—
416C22×D3—1224no—
417C22×D3—1224no—
418C3×Q8—224no—
419C3×Q8D3×D4116yescomplemented
420C3×D4—224no—
421C3×D4—224no—
422C2×C3×C4—224no—
423C2×C3×C4—224no—
424C2×C3×C4C23×D314yes—
425C2×C3×C4C23×D3112yes—
426C2×C3×C4C23×D3112yes—
427C2×C3×C4C23×D314yes—
428C2×C3×C4C23×D3112yes—
429#67—624no—
430#67—624no—
431#67—624no—
432#67—1224no—
433#67—1212no—
434C2×Dic3—34no—
435C2×Dic3—34no—
436C2×Dic3—312no—
437C2×Dic3—34no—
438C2×Dic3—34no—
439C2×Dic3—68no—
440D12—348no—
441D12—624no—
442D12—648no—
443D12—624no—
444D12—624no—
445D12—1212no—
446D12—1224no—
447C4×D3—348no—
448C4×D3—624no—
449C4×D3—624no—
450C4×D3—624no—
451C4×D3—624no—
452C4×D3—1224no—
453Dic6—68no—
454C2×C32—22no—
455C2×C32—43no—
456C2×C32C23×D411yescharacteristic
457C2×C32C2×H(5,𝔽2)11yescharacteristic
458C2×C32#58511yescharacteristic
459C3⋊D3—26no—
460C3⋊D3—43no—
461C3⋊D3—43no—
462C24—93no—
463C24—96no—
464#41—24no—
465#41—98no—
466#41—1812no—
467#41—1812no—
468#41—1812no—
469#41—184no—
470#41—184no—
471C2×Q8—24no—
472C2×Q8—91no—
473C2×Q8C22×C3⋊D313yes—
474C2×Q8C22×C3⋊D311yescharacteristic
475C2×D4—93no—
476C2×D4—93no—
477C2×D4—93no—
478C2×D4—93no—
479C2×D4—96no—
480C2×D4—93no—
481C2×D4—96no—
482C2×D4—93no—
483C2×D4—93no—
484C2×D4—93no—
485C2×D4—93no—
486C2×D4—96no—
487C2×D4—1812no—
488C2×D4—1812no—
489C2×D4—1812no—
490C2×D4—1812no—
491C2×D4—3612no—
492C2×D4C22×C3⋊D313yes—
493C2×D4C22×C3⋊D313yes—
494C22×C4—93no—
495C22×C4—91no—
496C22×C4—93no—
497C22×C4—93no—
498C22×C4—93no—
499C22×C4—93no—
500C22×C4—96no—
501C22×C4—1812no—
502C22×C4C22×C3⋊D313yes—
503C22×C4C22×C3⋊D313yes—
504C4⋊C4—93no—
505C4⋊C4—93no—
506C4⋊C4—91no—
507C4⋊C4—91no—
508C4⋊C4—91no—
509C4⋊C4—93no—
510C4⋊C4C22×C3⋊D313yes—
511C4⋊C4C22×C3⋊D313yes—
512C22⋊C4—93no—
513C22⋊C4—91no—
514C22⋊C4—93no—
515C22⋊C4—96no—
516C22⋊C4—93no—
517C22⋊C4—93no—
518C22⋊C4—93no—
519C22⋊C4—93no—
520C22⋊C4—93no—
521C22⋊C4C22×C3⋊D316yes—
522C22⋊C4C22×C3⋊D311yescharacteristic
523C22⋊C4C22×C3⋊D313yes—
524C42—93no—
525C42C22×C3⋊D313yes—
526C22×C3—24no—
527C22×C3—24no—
528C22×C3—212no—
529C22×C3—212no—
530C22×C3—212no—
531C22×C3#100918yescomplemented
532C22×C3C24×D314yes—
533C2×D3—324no—
534C2×D3—612no—
535C2×D3—612no—
536C2×D3—612no—
537C2×D3—612no—
538C2×D3—612no—
539C2×D3—612no—
540C2×D3—612no—
541C2×D3—612no—
542C2×D3—1248no—
543C2×D3—2448no—
544C3×C4—24no—
545C3×C4—212no—
546C3×C4—212no—
547C3×C4—24no—
548C3×C4C2×D3×D4124yes—
549Dic3—38no—
550Dic3—64no—
551Dic3—64no—
552Dic3—612no—
553Dic3—64no—
554C32#348811yescharacteristic, complemented, Sylow
555C23—93no—
556C23—93no—
557C23—93no—
558C23—186no—
559C23—1812no—
560C23—186no—
561C23—363no—
562C23—366no—
563C23—366no—
564C23C23×C3⋊D313yes—
565C23C23×C3⋊D311yescharacteristic
566Q8—26no—
567Q8—182no—
568Q8D4×C3⋊D314yescomplemented
569D4—26no—
570D4—26no—
571D4—912no—
572D4—186no—
573D4—1812no—
574D4—186no—
575D4—186no—
576D4—186no—
577D4—186no—
578D4—186no—
579D4—366no—
580D4—363no—
581D4—366no—
582D4—363no—
583C2×C4—26no—
584C2×C4—26no—
585C2×C4—91no—
586C2×C4—912no—
587C2×C4—91no—
588C2×C4—93no—
589C2×C4—91no—
590C2×C4—91no—
591C2×C4—186no—
592C2×C4—186no—
593C2×C4—182no—
594C2×C4—186no—
595C2×C4—186no—
596C2×C4—366no—
597C2×C4C23×C3⋊D311yescharacteristic
598C2×C4C23×C3⋊D313yes—
599C2×C4C23×C3⋊D313yes—
600C2×C4C23×C3⋊D311yescharacteristic
601C2×C4C23×C3⋊D313yes—
602C2×C3—28no—
603C2×C3—412no—
604C2×C3C22×D3×D414yes—
605C2×C3C2×#100914yes—
606C2×C3#596814yes—
607D3—624no—
608D3—1212no—
609D3—1212no—
610C22—21no—
611C22—21no—
612C22—23no—
613C22—23no—
614C22—23no—
615C22—96no—
616C22—183no—
617C22—183no—
618C22—183no—
619C22—183no—
620C22—183no—
621C22—183no—
622C22—183no—
623C22—183no—
624C22—3612no—
625C22—7212no—
626C22#6436612yescomplemented
627C22C24×C3⋊D311yescharacteristic
628C4—21no—
629C4—23no—
630C4—23no—
631C4—21no—
632C4—92no—
633C4—181no—
634C4—181no—
635C4—183no—
636C4—181no—
637C4C2×D4×C3⋊D316yes—
638C3#8671314yescomplemented
639C2—22no—
640C2—43no—
641C2—186no—
642C2—363no—
643C2—363no—
644C2C22×D4×C3⋊D311yescharacteristic
645C2C2×#6436611yescharacteristic
646C2#1059676011yescharacteristic
subgroupG/H
center, FrattiniC22C24×C3⋊D3
commutator, socle, cosocleC22×C32C25
FittingC32×#548C2
hypercenter#548C3⋊D3
hypocenterC32#3488
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #548

Complements

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

NH ≅ G/Ntype
1. C2×#64366C2semidirect
2. C22×#3832C2semidirect
3. C32×#548C2semidirect
4. #10596305C2semidirect
5. #10596288C2semidirect
6. #10596147C2semidirect
7. #10596145C2semidirect
8. #10596101C2semidirect
9. #10596100C2semidirect
10. #10596080C2semidirect
11. C3⋊D3×#121C2semidirect
12. #10596048C2semidirect
13. #10596045C2semidirect
14. D4×C4⋊(C3⋊D3)C2semidirect
15. #10596018C2semidirect
17. C2×C32×#41C22semidirect
18. C22×C32×Q8C22semidirect
22. C2×#3832C22semidirect
23. C2×#3832C22semidirect
24. C2×#3832C22semidirect
25. C2×#3832C22semidirect
26. C2×D4×C3⋊D3C22semidirect
27. C2×D4×C3⋊D3C22semidirect
28. C2×D4×C3⋊D3C22semidirect
29. C2×#3828C22semidirect
30. C22×C4⋊(C3⋊D3)C22semidirect
31. C22×C4⋊(C3⋊D3)C22semidirect
32. C22×C4×C3⋊D3C22semidirect
33. C32×#124C22semidirect
34. C32×C22⋊Q8C22semidirect
35. C32×#121C22semidirect
36. C32×C4×Q8C22semidirect
37. C32×C4×D4C22semidirect
38. #64156C22semidirect
39. #64155C22semidirect
40. Q8×C3⋊Dic3C22semidirect
41. #64149C22semidirect
42. #64148C22semidirect
43. #64147C22semidirect
44. #64146C22semidirect
45. #64139C22semidirect
46. #64139C22semidirect
47. C4×#638C22semidirect
48. C4×#638C22semidirect
49. #64105C22semidirect
50. #64104C22semidirect
51. #64104C22semidirect
52. #64104C22semidirect
53. #64103C22semidirect
54. #64102C22semidirect
55. C4⋊C4×C3⋊D3C22semidirect
56. #64093C22semidirect
57. #64093C22semidirect
58. #64093C22semidirect
59. #64092C22semidirect
60. #64091C22semidirect
61. #64091C22semidirect
62. #64091C22semidirect
63. C22⋊C4×C3⋊D3C22semidirect
64. #64087C22semidirect
65. #64083C22semidirect
66. C4×C4⋊(C3⋊D3)C22semidirect
67. C4×C4⋊(C3⋊D3)C22semidirect
68. #64081C22semidirect
71. C3×#548D3semidirect
104. #3832D4semidirect
149. C2×C3×#41C2×D3semidirect
150. C22×C3×Q8C2×D3semidirect
165. C3×#124C2×D3semidirect
166. C3×C22⋊Q8C2×D3semidirect
167. C3×#121C2×D3semidirect
168. C3×C4×Q8C2×D3semidirect
169. C3×C4×D4C2×D3semidirect
213. C32×Q8C2×D4semidirect
240. C4⋊(C3⋊D3)C2×D4semidirect
246. C4×C3⋊D3C2×D4semidirect
253. #548C3⋊D3semidirect
332. C22×C32H(5,𝔽2)semidirect
363. C2×#41C2×C3⋊D3semidirect
364. C22×Q8C2×C3⋊D3semidirect
374. #124C2×C3⋊D3semidirect
380. C22⋊Q8C2×C3⋊D3semidirect
391. #121C2×C3⋊D3semidirect
397. C4×Q8C2×C3⋊D3semidirect
403. C4×D4C2×C3⋊D3semidirect
419. C3×Q8D3×D4semidirect
531. C22×C3#1009semidirect
554. C32#3488semidirect
568. Q8D4×C3⋊D3semidirect
626. C22#64366semidirect
638. C3#86713semidirect

Maximal subgroups

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

subgroupindex
C2×#643662
C22×#38322
C32×#5482
#105963052
#105962882
#105961472
#105961452
#105961012
#105961002
#105960802
C3⋊D3×#1212
#105960482
#105960452
D4×C4⋊(C3⋊D3)2
#105960182
#867133