Finite Group Databasebeta

← #13171750

Subgroups — #13171750

Order 1728.

1590 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89046C211yesmaximal, characteristic
2#11723626C212yesmaximal, complemented
3C2×Dic3×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C3×#63957C211yesmaximal, characteristic, complemented
5C3×#63952C212yesmaximal, complemented
6#11722945C211yesmaximal, characteristic, complemented
7#11722944C211yesmaximal, characteristic, complemented
8#11722938C211yesmaximal, characteristic, complemented
9#11722931C211yesmaximal, characteristic, complemented
10#11722922C212yesmaximal, complemented
11Dic3×#624C212yesmaximal, complemented
12C4×#3805—31nomaximal
13#10594048—32nomaximal
14C22×C3⋊(C3⋊Dic3)C2211yescharacteristic
15C2×C3×#638C2212yes—
16C22×C3×C3⋊Dic3C2211yescharacteristic
17C22×C32×Dic3C2211yescharacteristic
18C2×#6296C2211yescharacteristic
19C2×#6295C2211yescharacteristic
20#89046C418yescomplemented
21C2×#6294C2212yes—
22C2×Dic3×C3⋊D3C2212yes—
23C2×C3×#624C2212yes—
24C32×#217C2212yes—
25#88807C2212yes—
26#88803C2212yes—
27Dic3×C3⋊Dic3C2211yescharacteristic
28Dic3×C3⋊Dic3C2211yescharacteristic
29Dic3×C3⋊Dic3C2211yescharacteristic
30Dic3×C3⋊Dic3C2211yescharacteristic
31Dic3×C3⋊Dic3C2212yes—
32C3×#3724C2212yes—
33C3×#3724C2211yescharacteristic
34C3×#3724C2211yescharacteristic
35C3×#3722C2212yes—
36C3×Dic32C2212yes—
37C3×Dic32C2212yes—
38C2×#3805—31no—
39C2×#3804—32no—
40C2×C4×C3⋊Dic3—31no—
41#64090—32no—
42C3×C4×#67—32no—
43C3×#67⋊C4—32no—
44C3×#877—32no—
45#67⋊Dic3—32no—
46#67⋊Dic3—32no—
47#67⋊Dic3—62no—
48#63957D311yescharacteristic, complemented
49C2×Dic32—32no—
50C2×Dic32—61no—
51#63952D312yescomplemented
52C4×#627—31no—
53#63904—32no—
54#63902—31no—
55C4×#625—31no—
56C4×#624—32no—
57#63881—32no—
58#63878—32no—
59#63877—32no—
60C4×D3×Dic3—32no—
61C4×D3×Dic3—32no—
62#63838—32no—
63#63838—31no—
64#63837—32no—
65#63836—32no—
66C23×C33C2311yescharacteristic
67C22×C3×C3⋊D3C2312yes—
68C2×C3⋊(C3⋊Dic3)—22no—
69C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
70C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
71C3×#638C2×C418yescomplemented
72C2×C3×C3⋊Dic3C2×C414yescomplemented
73C2×C3×C3⋊Dic3C2311yescharacteristic
74C2×C3×C3⋊Dic3C2312yes—
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C2×C32×Dic3—22no—
77C2×C32×Dic3C2312yes—
78C2×C32×Dic3C2312yes—
79C2×C32×Dic3C2311yescharacteristic
80C2×C32×Dic3C2311yescharacteristic
81#6296C2×C414yescomplemented
82#6295C2×C414yescomplemented
83#6294C2×C418yescomplemented
84Dic3×C3⋊D3—24no—
85C3×#624—24no—
86C4×#237—92no—
87#5522—91no—
88C22×C32×C4—31no—
89C2×#638C2×D312yes—
90C22×C3⋊Dic3—32no—
91C22×C3⋊Dic3—31no—
92C22×C3⋊Dic3—61no—
93C22×C3⋊Dic3—62no—
94C22×C3⋊Dic3—121no—
95C22×C3⋊Dic3C2×D311yescharacteristic
96C2×C4×C3⋊D3—32no—
97C2×C3×#67—32no—
98C2×C3×#67—32no—
99C2×C3×#67—62no—
100C22×C3×Dic3—21no—
101C22×C3×Dic3—32no—
102C22×C3×Dic3—61no—
103C22×C3×Dic3C2×D312yes—
104C2×C3×C4×D3—32no—
105C2×C3×C4×D3—32no—
106C2×#627—32no—
107C2×#627—31no—
108C2×#626—32no—
109C2×#625—31no—
110C2×#624—32no—
111C2×#624C2×D312yes—
112#3805—38no—
113#3804—316no—
114C2×D3×Dic3—32no—
115C2×D3×Dic3—32no—
116C2×D3×Dic3—32no—
117C2×D3×Dic3—32no—
118C2×D3×Dic3—62no—
119C32×C22⋊C4—32no—
120#3752—32no—
121#3750—32no—
122C4×C3⋊Dic3—32no—
123C4×C3⋊Dic3—31no—
124C4×C3⋊Dic3—31no—
125C4×C3⋊Dic3—31no—
126C4×C3⋊Dic3—31no—
127C3×#217—22no—
128C3×#217C2×D312yes—
129C3×#217C2×D312yes—
130C3×(C2×D3)⋊C4—32no—
131C3×(C2×D3)⋊C4—32no—
132C3×Dic3⋊C4—32no—
133C3×Dic3⋊C4—32no—
134C3×Dic3⋊C4—32no—
135C3×Dic3⋊C4—32no—
136C3×C4×Dic3—32no—
137C3×C4×Dic3—32no—
138C3×C4×Dic3—32no—
139C3×C4×Dic3—32no—
140#3724C2×D312yes—
141#3724C2×D311yescharacteristic
142#3724C2×D311yescharacteristic
143Dic3⋊Dic3—32no—
144Dic3⋊Dic3—32no—
145Dic3⋊Dic3—62no—
146#3722C2×D312yes—
147(C2×D3)⋊Dic3—32no—
148(C2×D3)⋊Dic3—32no—
149(C2×D3)⋊Dic3—62no—
150Dic32—32no—
151Dic32—32no—
152Dic32—32no—
153Dic32—32no—
154Dic32—32no—
155Dic32—32no—
156Dic32—61no—
157Dic32—61no—
158Dic32—61no—
159Dic32—61no—
160Dic32—62no—
161Dic32C2×D312yes—
162Dic32C2×D312yes—
163C22×C33—21no—
164C22×C33—21no—
165C22×C33C22×C412yes—
166C22×C33C2411yescharacteristic
167C2×C3×C3⋊D3—22no—
168C2×C3×C3⋊D3—22no—
169C2×C3×C3⋊D3C22×C414yes—
170C3⋊(C3⋊Dic3)—21no—
171C3⋊(C3⋊Dic3)#4112yescomplemented
172C3×C3⋊Dic3C22×C412yes—
173C3×C3⋊Dic3C22×C414yes—
174C3×C3⋊Dic3C22×C412yes—
175C32×Dic3—21no—
176C32×Dic3—22no—
177C32×Dic3—22no—
178C32×Dic3#4112yescomplemented
179C2×#237—92no—
180C2×#235—91no—
181C3×C4×D4—92no—
182C3×#117—91no—
183D4×Dic3—92no—
184C4×#67—32no—
185C4×#67—92no—
186C2×C4×Dic3—92no—
187C2×C4×Dic3—92no—
188C2×C4×Dic3—91no—
189C2×C4×Dic3—181no—
190#893—91no—
191#893—91no—
192#892—92no—
193#887—91no—
194#887—91no—
195#887—92no—
196#67⋊C4—32no—
197#67⋊C4—92no—
198#67⋊C4—92no—
199#67⋊C4—92no—
200#67⋊C4—182no—
201#877—32no—
202#877—92no—
203#872—92no—
204C42×D3—92no—
205C42×D3—92no—
206C4×Dic6—92no—
207C23×C32—21no—
208C23×C32—22no—
209C23×C32—41no—
210C23×C32C22×D311yescharacteristic
211C23×C32C22×D312yes—
212C22×C3⋊D3C22×D312yes—
213C22×C3×D3—32no—
214C22×C3×D3—32no—
215C22×C3×D3—62no—
216C2×C32×C4—31no—
217C2×C32×C4—32no—
218C2×C32×C4—32no—
219C2×C32×C4—31no—
220C2×C32×C4—62no—
221#638C4×D318yescomplemented
222C2×C3⋊Dic3—32no—
223C2×C3⋊Dic3—31no—
224C2×C3⋊Dic3—32no—
225C2×C3⋊Dic3—31no—
226C2×C3⋊Dic3—61no—
227C2×C3⋊Dic3—61no—
228C2×C3⋊Dic3—62no—
229C2×C3⋊Dic3—62no—
230C2×C3⋊Dic3—62no—
231C2×C3⋊Dic3—64no—
232C2×C3⋊Dic3—64no—
233C2×C3⋊Dic3—121no—
234C2×C3⋊Dic3—121no—
235C2×C3⋊Dic3—124no—
236C2×C3⋊Dic3—124no—
237C2×C3⋊Dic3C4×D314yescomplemented
238C2×C3⋊Dic3C22×D311yescharacteristic
239C2×C3⋊Dic3C22×D312yes—
240C2×C3⋊Dic3C22×D311yescharacteristic
241C4×C3⋊D3—64no—
242C3×#67—38no—
243C3×#67—38no—
244C3×#67—68no—
245C2×C3×Dic3—24no—
246C2×C3×Dic3—24no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—22no—
250C2×C3×Dic3—22no—
251C2×C3×Dic3—38no—
252C2×C3×Dic3—32no—
253C2×C3×Dic3—32no—
254C2×C3×Dic3—32no—
255C2×C3×Dic3—32no—
256C2×C3×Dic3—61no—
257C2×C3×Dic3—61no—
258C2×C3×Dic3—62no—
259C2×C3×Dic3—64no—
260C2×C3×Dic3C22×D312yes—
261C2×C3×Dic3C22×D312yes—
262C2×C3×Dic3C22×D312yes—
263C2×C3×Dic3C22×D312yes—
264C2×C3×Dic3C22×D312yes—
265C2×C3×Dic3C22×D312yes—
266C3×C4×D3—64no—
267C3×C4×D3—64no—
268#627—38no—
269#627—34no—
270#626—38no—
271#625—34no—
272#624—24no—
273#624—38no—
274D3×Dic3—38no—
275D3×Dic3—38no—
276D3×Dic3—64no—
277D3×Dic3—64no—
278D3×Dic3—124no—
279C4×#41—271noSylow
280C2×C33—22no—
281C2×C33C23×C411yescharacteristic
282C2×C33C2×#4111yescharacteristic
283C2×C33C2×#4111yescharacteristic
284C3×C3⋊D3—24no—
285C2×C3×D4—92no—
286C22×C3×C4—32no—
287C22×C3×C4—61no—
288C22×C3×C4—92no—
289C22×C3×C4—91no—
290C2×#67—32no—
291C2×#67—32no—
292C2×#67—62no—
293C2×#67—92no—
294C22×Dic3—32no—
295C22×Dic3—61no—
296C22×Dic3—92no—
297C22×Dic3—91no—
298C22×Dic3—92no—
299C22×Dic3—92no—
300C22×Dic3—181no—
301C22×Dic3—182no—
302C22×Dic3—361no—
303C22×Dic3D3211yescharacteristic
304#237—916no—
305#235—98no—
306C2×D12—91no—
307C2×C4×D3—32no—
308C2×C4×D3—32no—
309C2×C4×D3—92no—
310C2×C4×D3—92no—
311C2×C4×D3—92no—
312C2×C4×D3—92no—
313C2×C4×D3—182no—
314C2×Dic6—92no—
315C2×Dic6—91no—
316C3×C4⋊C4—92no—
317C3×C4⋊C4—91no—
318C3×C4⋊C4—91no—
319C3×C22⋊C4—32no—
320C3×C22⋊C4—32no—
321C3×C22⋊C4—62no—
322C3×C22⋊C4—92no—
323C3×C42—92no—
324C3×C42—92no—
325#217—92no—
326#217D3212yes—
327(C2×D3)⋊C4—32no—
328(C2×D3)⋊C4—32no—
329(C2×D3)⋊C4—92no—
330(C2×D3)⋊C4—92no—
331(C2×D3)⋊C4—182no—
332C4⋊Dic3—92no—
333Dic3⋊C4—32no—
334Dic3⋊C4—32no—
335Dic3⋊C4—32no—
336Dic3⋊C4—32no—
337Dic3⋊C4—92no—
338Dic3⋊C4—92no—
339Dic3⋊C4—182no—
340C4×Dic3—32no—
341C4×Dic3—32no—
342C4×Dic3—32no—
343C4×Dic3—32no—
344C4×Dic3—92no—
345C4×Dic3—92no—
346C4×Dic3—92no—
347C4×Dic3—92no—
348C4×Dic3—92no—
349C4×Dic3—92no—
350C4×Dic3—91no—
351C4×Dic3—92no—
352C4×Dic3—91no—
353C4×Dic3—91no—
354C4×Dic3—91no—
355C4×Dic3—182no—
356C4×Dic3—181no—
357C4×Dic3—181no—
358C4×Dic3—181no—
359C4×Dic3—181no—
360C22×C32—21no—
361C22×C32—21no—
362C22×C32—22no—
363C22×C32—22no—
364C22×C32—22no—
365C22×C32—22no—
366C22×C32—21no—
367C22×C32—22no—
368C22×C32—22no—
369C22×C32—24no—
370C22×C32—42no—
371C22×C32—41no—
372C22×C32—42no—
373C22×C32—42no—
374C22×C32—42no—
375C22×C32—42no—
376C22×C32C2×C4×D314yes—
377C22×C32C2×C4×D312yes—
378C22×C32C23×D312yes—
379C22×C32C23×D311yescharacteristic
380C2×C3⋊D3—22no—
381C2×C3⋊D3—22no—
382C2×C3⋊D3C2×C4×D314yes—
383C2×C3×D3—34no—
384C2×C3×D3—34no—
385C2×C3×D3—64no—
386C2×C3×D3—62no—
387C2×C3×D3—62no—
388C2×C3×D3—62no—
389C2×C3×D3—62no—
390C2×C3×D3—122no—
391C2×C3×D3—122no—
392C32×C4—32no—
393C32×C4—61no—
394C32×C4—62no—
395C32×C4—62no—
396C3⋊Dic3—32no—
397C3⋊Dic3—34no—
398C3⋊Dic3—64no—
399C3⋊Dic3—62no—
400C3⋊Dic3—61no—
401C3⋊Dic3—62no—
402C3⋊Dic3—62no—
403C3⋊Dic3—122no—
404C3⋊Dic3—122no—
405C3⋊Dic3—122no—
406C3⋊Dic3C2×C4×D312yes—
407C3⋊Dic3C2×C4×D314yes—
408C3⋊Dic3C2×C4×D312yes—
409C3×Dic3—22no—
410C3×Dic3—22no—
411C3×Dic3—22no—
412C3×Dic3—22no—
413C3×Dic3—22no—
414C3×Dic3—22no—
415C3×Dic3—22no—
416C3×Dic3—34no—
417C3×Dic3—34no—
418C3×Dic3—34no—
419C3×Dic3—34no—
420C3×Dic3—42no—
421C3×Dic3—42no—
422C3×Dic3—62no—
423C3×Dic3—62no—
424C3×Dic3—64no—
425C3×Dic3#23714yescomplemented
426C2×#41—271no—
427C4×Q8—271no—
428C4×Q8—271no—
429C4×D4—92no—
430C4×D4—272no—
431C4×D4—271no—
432C4×D4—271no—
433#117—91no—
434#117—272no—
435C2×C42—272no—
436C2×C42—271no—
437C33C4×#4111yescharacteristic, complemented, Sylow
438C23×C3—21no—
439C23×C3—22no—
440C23×C3—41no—
441C23×C3—92no—
442C23×C3C2×D3212yes—
443C23×C3C2×D3211yescharacteristic
444C22×D3—32no—
445C22×D3—32no—
446C22×D3—62no—
447C3×D4—98no—
448C2×C3×C4—32no—
449C2×C3×C4—32no—
450C2×C3×C4—32no—
451C2×C3×C4—32no—
452C2×C3×C4—32no—
453C2×C3×C4—32no—
454C2×C3×C4—61no—
455C2×C3×C4—61no—
456C2×C3×C4—62no—
457C2×C3×C4—62no—
458C2×C3×C4—64no—
459C2×C3×C4—64no—
460C2×C3×C4—91no—
461C2×C3×C4—91no—
462C2×C3×C4—92no—
463C2×C3×C4—94no—
464C2×C3×C4—184no—
465#67—38no—
466#67—38no—
467#67—68no—
468#67—98no—
469C2×Dic3—22no—
470C2×Dic3—32no—
471C2×Dic3—32no—
472C2×Dic3—32no—
473C2×Dic3—32no—
474C2×Dic3—38no—
475C2×Dic3—64no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—62no—
479C2×Dic3—98no—
480C2×Dic3—91no—
481C2×Dic3—92no—
482C2×Dic3—91no—
483C2×Dic3—92no—
484C2×Dic3—181no—
485C2×Dic3—181no—
486C2×Dic3—182no—
487C2×Dic3—182no—
488C2×Dic3—184no—
489C2×Dic3—182no—
490C2×Dic3—184no—
491C2×Dic3—184no—
492C2×Dic3—361no—
493C2×Dic3—361no—
494C2×Dic3—364no—
495C2×Dic3—364no—
496C2×Dic3C2×D3212yes—
497C2×Dic3C2×D3212yes—
498C2×Dic3C2×D3211yescharacteristic
499C2×Dic3C2×D3211yescharacteristic
500D12—94no—
501C4×D3—64no—
502C4×D3—64no—
503C4×D3—98no—
504C4×D3—98no—
505C4×D3—184no—
506C4×D3—184no—
507C4×D3—364no—
508Dic6—94no—
509Dic6—98no—
510C2×C32—22no—
511C2×C32—24no—
512C2×C32—24no—
513C2×C32—21no—
514C2×C32—22no—
515C2×C32—21no—
516C2×C32—22no—
517C2×C32—22no—
518C2×C32—21no—
519C2×C32—41no—
520C2×C32—41no—
521C2×C32—41no—
522C2×C32—44no—
523C2×C32—44no—
524C2×C32C22×C4×D311yescharacteristic
525C2×C32C22×C4×D312yes—
526C2×C32C2×#23712yes—
527C2×C32D3×#4112yes—
528C2×C32D3×#4111yescharacteristic
529C2×C32D3×#4111yescharacteristic
530C3⋊D3—24no—
531C3×D3—64no—
532C3×D3—64no—
533C3×D3—124no—
534#41—278no—
535C2×Q8—271no—
536C2×D4—92no—
537C2×D4—271no—
538C22×C4—31no—
539C22×C4—92no—
540C22×C4—91no—
541C22×C4—272no—
542C22×C4—272no—
543C22×C4—271no—
544C4⋊C4—91no—
545C4⋊C4—91no—
546C4⋊C4—92no—
547C4⋊C4—272no—
548C22⋊C4—32no—
549C22⋊C4—92no—
550C22⋊C4—272no—
551C42—92no—
552C42—92no—
553C42—271no—
554C42—271no—
555C42—271no—
556C42—272no—
557C42—271no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—21no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—22no—
566C22×C3—22no—
567C22×C3—24no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—42no—
571C22×C3—42no—
572C22×C3—41no—
573C22×C3—42no—
574C22×C3—94no—
575C22×C3—182no—
576C22×C3—182no—
577C22×C3C4×D3214yes—
578C22×C3C4×D3212yes—
579C22×C3C22×D3211yescharacteristic
580C22×C3C22×D3212yes—
581C2×D3—34no—
582C2×D3—34no—
583C2×D3—64no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—122no—
589C2×D3—122no—
590C3×C4—34no—
591C3×C4—62no—
592C3×C4—62no—
593C3×C4—62no—
594C3×C4—62no—
595C3×C4—62no—
596C3×C4—62no—
597C3×C4—62no—
598C3×C4—94no—
599C3×C4—92no—
600C3×C4—92no—
601C3×C4—122no—
602C3×C4—122no—
603Dic3—22no—
604Dic3—22no—
605Dic3—21no—
606Dic3—34no—
607Dic3—34no—
608Dic3—34no—
609Dic3—34no—
610Dic3—62no—
611Dic3—62no—
612Dic3—64no—
613Dic3—92no—
614Dic3—94no—
615Dic3—184no—
616Dic3—182no—
617Dic3—182no—
618Dic3—181no—
619Dic3—182no—
620Dic3—362no—
621Dic3—362no—
622Dic3—362no—
623Dic3#380512yescomplemented
624C32—22no—
625C32—21no—
626C32—41no—
627C32#552211yescharacteristic, complemented
628C32C4×#23712yescomplemented
629C23—92no—
630C23D3311yescharacteristic
631Q8—274no—
632D4—98no—
633D4—274no—
634C2×C4—31no—
635C2×C4—32no—
636C2×C4—32no—
637C2×C4—31no—
638C2×C4—62no—
639C2×C4—91no—
640C2×C4—92no—
641C2×C4—91no—
642C2×C4—94no—
643C2×C4—184no—
644C2×C4—278no—
645C2×C4—271no—
646C2×C4—271no—
647C2×C4—544no—
648C2×C4—542no—
649C2×C3—24no—
650C2×C3—24no—
651C2×C3—22no—
652C2×C3—21no—
653C2×C3—22no—
654C2×C3—21no—
655C2×C3—22no—
656C2×C3—21no—
657C2×C3—22no—
658C2×C3—44no—
659C2×C3—44no—
660C2×C3—41no—
661C2×C3—41no—
662C2×C3—41no—
663C2×C3—184no—
664C2×C3C2×C4×D3212yes—
665C2×C3C2×C4×D3211yescharacteristic
666C2×C3#6430611yescharacteristic
667C2×C3D3×#23712yes—
668C2×C3#6431212yes—
669C2×C3C2×#380511yescharacteristic
670D3—64no—
671D3—64no—
672D3—124no—
673C22—21no—
674C22—21no—
675C22—94no—
676C22—182no—
677C22—182no—
678C22#8894912yes—
679C22C2×D3311yescharacteristic
680C4—32no—
681C4—61no—
682C4—62no—
683C4—62no—
684C4—92no—
685C4—92no—
686C4—94no—
687C4—272no—
688C4—541no—
689C3—22no—
690C3—21no—
691C3—41no—
692C3#1059404812yescomplemented
693C3C4×#380511yescharacteristic, complemented
694C2—22no—
695C2—184no—
696C2D3×#380511yescharacteristic
697C2#1172441111yescharacteristic
698C2C2×#8894911yescharacteristic
subgroupG/H
center, FrattiniC22C2×D33
commutatorC2×C33C23×C4
FittingC23×C33C23
socle, cosocleC22×C33C24
prime radicalC2×#89046C2
hypercenterC23D33
hypocenterC33C4×#41
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C23

Complements

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

NH ≅ G/Ntype
2. #11723626C2semidirect
3. C2×Dic3×C3⋊Dic3C2semidirect
4. C3×#63957C2semidirect
5. C3×#63952C2semidirect
6. #11722945C2semidirect
7. #11722944C2semidirect
8. #11722938C2semidirect
9. #11722931C2semidirect
10. #11722922C2semidirect
11. Dic3×#624C2semidirect
20. #89046C4semidirect
48. #63957D3semidirect
51. #63952D3semidirect
71. C3×#638C2×C4semidirect
72. C2×C3×C3⋊Dic3C2×C4semidirect
81. #6296C2×C4semidirect
82. #6295C2×C4semidirect
83. #6294C2×C4semidirect
171. C3⋊(C3⋊Dic3)#41semidirect
178. C32×Dic3#41semidirect
221. #638C4×D3semidirect
237. C2×C3⋊Dic3C4×D3semidirect
425. C3×Dic3#237semidirect
437. C33C4×#41semidirect
623. Dic3#3805semidirect
627. C32#5522semidirect
628. C32C4×#237semidirect
692. C3#10594048semidirect
693. C3C4×#3805semidirect

Maximal subgroups

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

subgroupindex
C2×#890462
#117236262
C2×Dic3×C3⋊Dic32
C3×#639572
C3×#639522
#117229452
#117229442
#117229382
#117229312
#117229222
Dic3×#6242
C4×#38053
#105940483