Finite Group Databasebeta

← #13181647

Subgroups — #13181647

Order 1728.

5516 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C3×#64366C211yesmaximal, characteristic, complemented
3C32×#1010C211yesmaximal, characteristic, complemented
4D3×#3832C212yesmaximal, complemented
5#11724592C212yesmaximal, complemented
6#11724589C216yesmaximal, complemented
7C3⋊D3×#237C216yesmaximal, complemented
8#11724580C213yesmaximal, complemented
9#11724578C213yesmaximal, complemented
10#11724566C213yesmaximal, complemented
11C2×#89017C213yesmaximal, complemented
12#10596760—31nomaximal
13#10596698—34nomaximal
14C33×#41C2211yescharacteristic, complemented
15#89080C2211yescharacteristic, complemented
16Q8×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
17#89078C2213yescomplemented
18D4×C3⋊(C3⋊D3)C2213yescomplemented
19#89076C2213yescomplemented
20C2×C4×C3⋊(C3⋊D3)C2213yescomplemented
21C3×#3832C2212yescomplemented
22C3×D4×C3⋊D3C2216yescomplemented
23C3×#3828C2213yescomplemented
24C2×C3×C4⋊(C3⋊D3)C2213yescomplemented
25C32×D3×Q8C2212yescomplemented
26C32×#237C2216yescomplemented
27C32×#235C2213yescomplemented
28C2×C32×Dic6C2213yescomplemented
29#89039C2216yescomplemented
30C3⋊D3×#67C22112yescomplemented
31C2×#6292C2216yescomplemented
32#89031C22112yescomplemented
33C2×Dic3×C3⋊D3C2216yescomplemented
34#89029C2216yescomplemented
35#89026C2213yescomplemented
36D3×C4⋊(C3⋊D3)C2216yescomplemented
37C4×D3×C3⋊D3C2216yescomplemented
38#89021C2216yescomplemented
39#89020C2216yescomplemented
40#89019C2213yescomplemented
41#89018C2216yescomplemented
42#89017C2213yescomplemented
43#89017C2216yescomplemented
44#89017C2216yescomplemented
45#89017C2216yescomplemented
46C3⋊D3×Dic6C2216yescomplemented
47#89015C2211yescharacteristic, complemented
48C32×2−1+4—31no—
49#64366—36no—
50#64366—33no—
51#64366D311yescharacteristic, complemented
52#41×C3⋊D3—31no—
53#41×C3⋊D3—36no—
54#41×C3⋊D3—33no—
55#41×C3⋊D3—34no—
56#41×C3⋊D3—64no—
57#64364—32no—
58#64364—33no—
59C2×#3832—32no—
60C2×#3832—33no—
61C3×#1010D314yescomplemented
62C3×#1009—34no—
63D3×#239—38no—
64#64315—38no—
65#64314—324no—
66D3×#237—324no—
67#64307—312no—
68#64306—312no—
69#64297—312no—
70C2×#3796—312no—
71C22×C3⋊(C3⋊D3)C2313yes—
72C22×C3×C3⋊D3C2316yes—
73C2×D3×C3⋊D3C2316yes—
74C33×Q8C2311yescharacteristic
75C33×D4C2313yes—
76C2×C33×C4C2313yes—
77#6312C2316yes—
78C2×C3⋊(C3⋊Dic3)C2313yes—
79C4⋊(C3⋊(C3⋊D3))C2313yes—
80C4×C3⋊(C3⋊D3)C2311yescharacteristic
81C4×C3⋊(C3⋊D3)C2313yes—
82C4×C3⋊(C3⋊D3)C2313yes—
83C4×C3⋊(C3⋊D3)C2313yes—
84#6308C2313yes—
85C3×#638C2316yes—
86C3×C4⋊(C3⋊D3)C2313yes—
87C3×C4⋊(C3⋊D3)C2316yes—
88C3×C4×C3⋊D3C2316yes—
89C3×#634C2311yescharacteristic
90C32×#67C2316yes—
91C2×C32×Dic3C2316yes—
92C32×D12C2311yescharacteristic
93C32×C4×D3C2316yes—
94C32×Dic6C2316yes—
95C32×Dic6C2313yes—
96#6293C2316yes—
97#6292C2316yes—
98#6292C23112yes—
99#6291C2312yes—
100#6290C2316yes—
101#6289C2316yes—
102Dic3×C3⋊D3C23112yes—
103Dic3×C3⋊D3C2316yes—
104D3×C3⋊Dic3C2312yes—
105#5968—94no—
106#5966—91no—
107C32×#41—24no—
108C32×#41—36no—
109C32×#41—33no—
110C32×#41C2×D314yescomplemented
111C32×#41C2×D311yescharacteristic, complemented
112C2×C32×Q8—32no—
113C2×C32×Q8—33no—
114#3832—31no—
115#3832—34no—
116#3832—36no—
117#3832—33no—
118#3832—36no—
119#3832—36no—
120#3832—36no—
121#3832—64no—
122#3832C2×D312yescomplemented
123Q8×C3⋊D3—31no—
124Q8×C3⋊D3—34no—
125Q8×C3⋊D3—36no—
126Q8×C3⋊D3—33no—
127Q8×C3⋊D3—64no—
128#3830—33no—
129#3830—312no—
130#3830—36no—
131#3830—31no—
132#3830—612no—
133D4×C3⋊D3—312no—
134D4×C3⋊D3—33no—
135D4×C3⋊D3—312no—
136D4×C3⋊D3—36no—
137D4×C3⋊D3—33no—
138D4×C3⋊D3—612no—
139D4×C3⋊D3C2×D316yescomplemented
140#3828—33no—
141#3828—312no—
142#3828—312no—
143#3828—36no—
144#3828—36no—
145#3828—612no—
146#3828C2×D313yescomplemented
147C2×C4⋊(C3⋊D3)—36no—
148C2×C4⋊(C3⋊D3)—36no—
149C2×C4⋊(C3⋊D3)C2×D313yescomplemented
150C2×C4×C3⋊D3—36no—
151C2×C4×C3⋊D3—33no—
152C2×C4×C3⋊D3—312no—
153C2×C4×C3⋊D3—36no—
154C2×C4×C3⋊D3—612no—
155C3×#239—38no—
156C3×D3×Q8C2×D318yescomplemented
157C3×#237C2×D3124yescomplemented
158C3×D3×D4—324no—
159C3×#235—312no—
160C3×#235C2×D3112yescomplemented
161C2×C3×D12—312no—
162C2×C3×Dic6C2×D3112yescomplemented
163#3811—324no—
164D3×#67—348no—
165C2×#626—324no—
166#3805—324no—
167#3804—348no—
168C2×D3×Dic3—324no—
169#3802—312no—
170D3×D12—324no—
171C4×D32—324no—
172#3799—324no—
173#3798—324no—
174#3797—312no—
175#3796—34no—
176#3796—312no—
177#3796—324no—
178#3796—324no—
179#3796—324no—
180#3795—324no—
181D3×Dic6—324no—
182C22×C33C2413yes—
183C2×C3⋊(C3⋊D3)—43no—
184C2×C3⋊(C3⋊D3)C2413yes—
185C2×C3⋊(C3⋊D3)C2411yescharacteristic
186C2×C3×C3⋊D3—46no—
187C2×C3×C3⋊D3C2416yes—
188C2×C32×D3C2412yes—
189D3×C3⋊D3—46no—
190C33×C4C2411yescharacteristic
191C33×C4C2413yes—
192C3⋊(C3⋊Dic3)C2411yescharacteristic
193C3⋊(C3⋊Dic3)C2413yes—
194C3×C3⋊Dic3C2412yes—
195C32×Dic3C2416yes—
196C3×2−1+4—34no—
197C3×H(5,𝔽2)—91no—
198#1010—92no—
199#1010—93no—
200#1010C3⋊D311yescharacteristic, complemented
201#1009—34no—
202#1009—912no—
203#1009—924no—
204D3×#41—912no—
205D3×#41—924no—
206D3×#41—94no—
207D3×#41—91no—
208D3×#41—92no—
209D3×#41—93no—
210D3×#41—184no—
211#1007—912no—
212#1007—98no—
213C2×#239—912no—
214C2×#239—98no—
215#1004—96no—
216#1004—93no—
217C2×#237—96no—
218C2×#237—93no—
219C22×C3⋊D3—33no—
220C22×C3⋊D3—36no—
221C22×C3⋊D3—312no—
222C22×C3⋊D3—612no—
223C22×C3⋊D3C22×D316yes—
224C22×C3×D3—324no—
225C2×D32—324no—
226C32×Q8—24no—
227C32×Q8—36no—
228C32×Q8—33no—
229C32×Q8C22×D314yes—
230C32×Q8C22×D311yescharacteristic
231C32×D4—212no—
232C32×D4—36no—
233C32×D4—31no—
234C32×D4C22×D3112yes—
235C32×D4C22×D313yes—
236C2×C32×C4—212no—
237C2×C32×C4—36no—
238C2×C32×C4—36no—
239C2×C32×C4C22×D3112yes—
240C2×C32×C4C22×D313yes—
241#638—36no—
242#638—36no—
243#638—32no—
244#638—324no—
245#638—624no—
246#638C22×D316yes—
247C2×C3⋊Dic3—33no—
248C2×C3⋊Dic3—32no—
249C2×C3⋊Dic3—312no—
250C2×C3⋊Dic3—612no—
251C4⋊(C3⋊D3)—36no—
252C4⋊(C3⋊D3)—312no—
253C4⋊(C3⋊D3)—33no—
254C4⋊(C3⋊D3)—312no—
255C4⋊(C3⋊D3)—612no—
256C4⋊(C3⋊D3)C22×D316yes—
257C4⋊(C3⋊D3)C22×D313yes—
258C4×C3⋊D3—36no—
259C4×C3⋊D3—312no—
260C4×C3⋊D3—33no—
261C4×C3⋊D3—31no—
262C4×C3⋊D3—33no—
263C4×C3⋊D3—33no—
264C4×C3⋊D3—36no—
265C4×C3⋊D3—34no—
266C4×C3⋊D3—312no—
267C4×C3⋊D3—312no—
268C4×C3⋊D3—312no—
269C4×C3⋊D3—64no—
270C4×C3⋊D3—612no—
271C4×C3⋊D3—612no—
272C4×C3⋊D3—612no—
273C4×C3⋊D3C22×D316yes—
274#634—33no—
275#634—36no—
276#634—312no—
277#634—612no—
278#634C22×D311yescharacteristic
279C3×#67—324no—
280C3×#67C22×D3124yes—
281C2×C3×Dic3C22×D3124yes—
282C3×D12—324no—
283C3×D12—312no—
284C3×D12C22×D314yes—
285C3×C4×D3—324no—
286C3×C4×D3C22×D3124yes—
287C3×Dic6—34no—
288C3×Dic6C22×D3124yes—
289C3×Dic6C22×D3112yes—
290#627—324no—
291#626—38no—
292#626—324no—
293#626—348no—
294#625—324no—
295#624—324no—
296D3×Dic3—38no—
297D3×Dic3—348no—
298D3×Dic3—324no—
299#585—271noSylow
300C2×C33—23no—
301C2×C33C2511yescharacteristic
302C3⋊(C3⋊D3)—21no—
303C3⋊(C3⋊D3)—23no—
304C3×C3⋊D3—26no—
305C32×D3—22no—
306C3×#41—24no—
307C3×#41—324no—
308C3×#41—312no—
309C3×#41—92no—
310C3×#41—93no—
311C3×#41D3214yescomplemented
312C3×#41C2×C3⋊D311yescharacteristic, complemented
313C2×C3×Q8—38no—
314C2×C3×Q8—312no—
315C2×C3×D4—96no—
316C2×C3×D4—93no—
317C2×#67—912no—
318C2×#67—96no—
319C22×Dic3—96no—
320#239—38no—
321#239—924no—
322#239—912no—
323#239—924no—
324#239—924no—
325#239—924no—
326#239—94no—
327#239—91no—
328#239—91no—
329#239—184no—
330D3×Q8—912no—
331D3×Q8—924no—
332D3×Q8—94no—
333D3×Q8—91no—
334D3×Q8—93no—
335D3×Q8—184no—
336D3×Q8C2×C3⋊D312yescomplemented
337#237—94no—
338#237—924no—
339#237—912no—
340#237—93no—
341#237—96no—
342#237—912no—
343#237—96no—
344#237—96no—
345#237—93no—
346#237—96no—
347#237—96no—
348#237—1812no—
349#237C2×C3⋊D316yescomplemented
350D3×D4—324no—
351D3×D4—912no—
352D3×D4—924no—
353D3×D4—948no—
354D3×D4—912no—
355D3×D4—93no—
356D3×D4—96no—
357D3×D4—93no—
358D3×D4—96no—
359D3×D4—1812no—
360#235—312no—
361#235—924no—
362#235—924no—
363#235—948no—
364#235—912no—
365#235—93no—
366#235—96no—
367#235—96no—
368#235—1812no—
369#235C2×C3⋊D313yescomplemented
370C2×D12—312no—
371C2×D12—924no—
372C2×D12—924no—
373C2×C4×D3—924no—
374C2×C4×D3—924no—
375C2×C4×D3—912no—
376C2×C4×D3—93no—
377C2×C4×D3—96no—
378C2×C4×D3—1812no—
379C2×Dic6—96no—
380C2×Dic6C2×C3⋊D313yescomplemented
381C22×C32—212no—
382C22×C32—32no—
383C22×C32C23×D3112yes—
384C22×C32C23×D313yes—
385C2×C3⋊D3—33no—
386C2×C3⋊D3—31no—
387C2×C3⋊D3—312no—
388C2×C3⋊D3—34no—
389C2×C3⋊D3—46no—
390C2×C3⋊D3—64no—
391C2×C3⋊D3—612no—
392C2×C3⋊D3—126no—
393C2×C3⋊D3—123no—
394C2×C3⋊D3—1212no—
395C2×C3⋊D3—1224no—
396C2×C3⋊D3C23×D316yes—
397C2×C3×D3—324no—
398C2×C3×D3—1224no—
399C2×C3×D3C23×D318yes—
400D32—1224no—
401C32×C4—212no—
402C32×C4—24no—
403C32×C4—36no—
404C32×C4C23×D314yes—
405C32×C4C23×D3112yes—
406C32×C4C23×D313yes—
407C32×C4C23×D311yescharacteristic
408C3⋊Dic3—33no—
409C3⋊Dic3—31no—
410C3⋊Dic3—34no—
411C3⋊Dic3—312no—
412C3⋊Dic3—612no—
413C3⋊Dic3—64no—
414C3⋊Dic3C23×D312yes—
415C3×Dic3—38no—
416C3×Dic3C23×D3124yes—
4172−1+4—31no—
4182−1+4—272no—
4192−1+4—273no—
420H(5,𝔽2)—91no—
421H(5,𝔽2)—276no—
422H(5,𝔽2)—273no—
423C2×#41—273no—
424C2×#41—276no—
425C2×#41—272no—
426C2×#41—273no—
427C2×#41—271no—
428C33#58511yescharacteristic, complemented, Sylow
429C23×C3—96no—
430C22×D3—324no—
431C22×D3—924no—
432C22×D3—912no—
433C22×D3—93no—
434C22×D3—96no—
435C22×D3—1812no—
436C3×Q8—24no—
437C3×Q8—312no—
438C3×Q8—324no—
439C3×Q8—91no—
440C3×Q8C2×D3214yes—
441C3×Q8C22×C3⋊D311yescharacteristic
442C3×D4—212no—
443C3×D4—324no—
444C3×D4—34no—
445C3×D4—96no—
446C3×D4—96no—
447C3×D4—93no—
448C3×D4C2×D32112yes—
449C3×D4C22×C3⋊D313yes—
450C2×C3×C4—212no—
451C2×C3×C4—324no—
452C2×C3×C4—324no—
453C2×C3×C4—96no—
454C2×C3×C4C2×D32112yes—
455C2×C3×C4C22×C3⋊D313yes—
456#67—324no—
457#67—98no—
458#67—924no—
459#67—924no—
460#67—96no—
461#67—96no—
462#67—96no—
463#67—912no—
464#67—1824no—
465#67C22×C3⋊D316yes—
466C2×Dic3—98no—
467C2×Dic3—912no—
468C2×Dic3—93no—
469C2×Dic3—912no—
470C2×Dic3—96no—
471C2×Dic3—1812no—
472C2×Dic3C22×C3⋊D316yes—
473D12—312no—
474D12—324no—
475D12—924no—
476D12—948no—
477D12—92no—
478D12—912no—
479D12—93no—
480D12—1812no—
481D12C22×C3⋊D311yescharacteristic
482C4×D3—324no—
483C4×D3—924no—
484C4×D3—924no—
485C4×D3—948no—
486C4×D3—92no—
487C4×D3—94no—
488C4×D3—912no—
489C4×D3—912no—
490C4×D3—912no—
491C4×D3—93no—
492C4×D3—91no—
493C4×D3—93no—
494C4×D3—93no—
495C4×D3—96no—
496C4×D3—184no—
497C4×D3—1812no—
498C4×D3—1812no—
499C4×D3—1812no—
500C4×D3C22×C3⋊D316yes—
501Dic6—34no—
502Dic6—924no—
503Dic6—912no—
504Dic6—93no—
505Dic6—96no—
506Dic6—1812no—
507Dic6C22×C3⋊D316yes—
508Dic6C22×C3⋊D313yes—
509C2×C32—23no—
510C2×C32—24no—
511C2×C32—212no—
512C2×C32—412no—
513C2×C32—62no—
514C2×C32C24×D314yes—
515C2×C32C24×D311yescharacteristic
516C3⋊D3—26no—
517C3⋊D3—68no—
518C3⋊D3—61no—
519C3⋊D3—63no—
520C3⋊D3—64no—
521C3⋊D3—612no—
522C3⋊D3—1212no—
523C3×D3—28no—
524C3×D3—624no—
525#41—36no—
526#41—33no—
527#41—92no—
528#41—93no—
529#41—276no—
530#41—2712no—
531#41—276no—
532#41—276no—
533#41—276no—
534#41—271no—
535#41—273no—
536#41—276no—
537#41—276no—
538#41—276no—
539#41—271no—
540#41—273no—
541#41—273no—
542#41D3×C3⋊D311yescharacteristic, complemented
543C2×Q8—32no—
544C2×Q8—33no—
545C2×Q8—276no—
546C2×Q8—273no—
547C2×Q8—271no—
548C2×D4—96no—
549C2×D4—93no—
550C2×D4—276no—
551C2×D4—276no—
552C2×D4—276no—
553C2×D4—273no—
554C2×D4—2712no—
555C2×D4—273no—
556C22×C4—276no—
557C22×C4—276no—
558C22×C4—273no—
559C22×C3—212no—
560C22×C3—38no—
561C22×C3—96no—
562C22×C3—366no—
563C22×C3C22×D32112yes—
564C22×C3C23×C3⋊D313yes—
565C2×D3—324no—
566C2×D3—94no—
567C2×D3—912no—
568C2×D3—91no—
569C2×D3—93no—
570C2×D3—1224no—
571C2×D3—184no—
572C2×D3—1812no—
573C2×D3—366no—
574C2×D3—3624no—
575C2×D3—3612no—
576C2×D3—363no—
577C2×D3—3624no—
578C2×D3C23×C3⋊D312yes—
579C3×C4—212no—
580C3×C4—24no—
581C3×C4—324no—
582C3×C4—92no—
583C3×C4C22×D3214yes—
584C3×C4C22×D32112yes—
585C3×C4C23×C3⋊D313yes—
586C3×C4C23×C3⋊D311yescharacteristic
587Dic3—38no—
588Dic3—912no—
589Dic3—94no—
590Dic3—93no—
591Dic3—91no—
592Dic3—1812no—
593Dic3—184no—
594Dic3C23×C3⋊D316yes—
595C32—24no—
596C32#596611yescharacteristic, complemented
597C32#596814yescomplemented
598C23—96no—
599C23—276no—
600C23—273no—
601Q8—36no—
602Q8—33no—
603Q8—91no—
604Q8—276no—
605Q8—273no—
606Q8C2×D3×C3⋊D311yescharacteristic
607D4—36no—
608D4—31no—
609D4—96no—
610D4—96no—
611D4—93no—
612D4—2712no—
613D4—276no—
614D4—272no—
615D4—276no—
616D4—276no—
617D4—273no—
618D4C2×D3×C3⋊D313yes—
619C2×C4—36no—
620C2×C4—36no—
621C2×C4—96no—
622C2×C4—276no—
623C2×C4—276no—
624C2×C4—2712no—
625C2×C4—272no—
626C2×C4—273no—
627C2×C4—273no—
628C2×C4—271no—
629C2×C4—273no—
630C2×C4—273no—
631C2×C4C2×D3×C3⋊D313yes—
632C2×C3—212no—
633C2×C3—23no—
634C2×C3—24no—
635C2×C3—412no—
636C2×C3—68no—
637C2×C3—186no—
638C2×C3C23×D3214yes—
639C2×C3C24×C3⋊D311yescharacteristic
640D3—22no—
641D3—624no—
642D3—188no—
643D3—184no—
644D3—1812no—
645D3—181no—
646D3—183no—
647D3—3612no—
648C22—32no—
649C22—96no—
650C22—271no—
651C22—273no—
652C22—366no—
653C22—1083no—
654C22—1086no—
655C22C22×D3×C3⋊D313yes—
656C4—36no—
657C4—92no—
658C4—271no—
659C4—273no—
660C4C22×D3×C3⋊D313yes—
661C4C22×D3×C3⋊D311yescharacteristic
662C3—24no—
663C3#1059669814yescomplemented
664C3#1059676011yescharacteristic, complemented
665C2—23no—
666C2—62no—
667C2—186no—
668C2—541no—
669C2—543no—
670C2C23×D3×C3⋊D311yescharacteristic
subgroupG/H
center, FrattiniC2C23×D3×C3⋊D3
commutator, socle, cosocleC2×C33C25
FittingC33×#41C22
hypercenter#41D3×C3⋊D3
hypocenterC33#585
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C2 ◁ #41

Complements

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

NH ≅ G/Ntype
1. #41×C3⋊(C3⋊D3)C2semidirect
2. C3×#64366C2semidirect
3. C32×#1010C2semidirect
4. D3×#3832C2semidirect
5. #11724592C2semidirect
6. #11724589C2semidirect
7. C3⋊D3×#237C2semidirect
8. #11724580C2semidirect
9. #11724578C2semidirect
10. #11724566C2semidirect
11. C2×#89017C2semidirect
14. C33×#41C22semidirect
15. #89080C22semidirect
16. Q8×C3⋊(C3⋊D3)C22semidirect
17. #89078C22semidirect
18. D4×C3⋊(C3⋊D3)C22semidirect
19. #89076C22semidirect
20. C2×C4×C3⋊(C3⋊D3)C22semidirect
21. C3×#3832C22semidirect
22. C3×D4×C3⋊D3C22semidirect
23. C3×#3828C22semidirect
24. C2×C3×C4⋊(C3⋊D3)C22semidirect
25. C32×D3×Q8C22semidirect
26. C32×#237C22semidirect
27. C32×#235C22semidirect
28. C2×C32×Dic6C22semidirect
29. #89039C22semidirect
30. C3⋊D3×#67C22semidirect
31. C2×#6292C22semidirect
32. #89031C22semidirect
33. C2×Dic3×C3⋊D3C22semidirect
34. #89029C22semidirect
35. #89026C22semidirect
36. D3×C4⋊(C3⋊D3)C22semidirect
37. C4×D3×C3⋊D3C22semidirect
38. #89021C22semidirect
39. #89020C22semidirect
40. #89019C22semidirect
41. #89018C22semidirect
42. #89017C22semidirect
43. #89017C22semidirect
44. #89017C22semidirect
45. #89017C22semidirect
46. C3⋊D3×Dic6C22semidirect
47. #89015C22semidirect
51. #64366D3semidirect
61. C3×#1010D3semidirect
110. C32×#41C2×D3semidirect
111. C32×#41C2×D3semidirect
122. #3832C2×D3semidirect
139. D4×C3⋊D3C2×D3semidirect
146. #3828C2×D3semidirect
149. C2×C4⋊(C3⋊D3)C2×D3semidirect
156. C3×D3×Q8C2×D3semidirect
157. C3×#237C2×D3semidirect
160. C3×#235C2×D3semidirect
162. C2×C3×Dic6C2×D3semidirect
200. #1010C3⋊D3semidirect
311. C3×#41D32semidirect
312. C3×#41C2×C3⋊D3semidirect
336. D3×Q8C2×C3⋊D3semidirect
349. #237C2×C3⋊D3semidirect
369. #235C2×C3⋊D3semidirect
380. C2×Dic6C2×C3⋊D3semidirect
428. C33#585semidirect
542. #41D3×C3⋊D3semidirect
596. C32#5966semidirect
597. C32#5968semidirect
663. C3#10596698semidirect
664. C3#10596760semidirect

Maximal subgroups

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

subgroupindex
#41×C3⋊(C3⋊D3)2
C3×#643662
C32×#10102
D3×#38322
#117245922
#117245892
C3⋊D3×#2372
#117245802
#117245782
#117245662
C2×#890172
#105967603
#105966983