Finite Group Databasebeta

← #13148641

Subgroups — #13148641

Order 1728.

1315 conjugacy classes of subgroups.

The subgroup lattice has 669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6200C211yesmaximal, characteristic
2C22⋊C4×#272C211yesmaximal, characteristic, complemented
3C22⋊C4×(C3⋊D3)⋊C3C211yesmaximal, characteristic, complemented
4#64086⋊C3C211yesmaximal, characteristic, complemented
5#11721320C211yesmaximal, characteristic, complemented
6#11721310C211yesmaximal, characteristic, complemented
7#11721296C211yesmaximal, characteristic, complemented
8#11721154C212yesmaximal, complemented
9C4×#6200C212yesmaximal, complemented
10#11721124C212yesmaximal, complemented
11#11721123C212yesmaximal, complemented
12#10594182—31nomaximal
13#10594181—31nomaximal
14C23×#272C2211yescharacteristic
15C23×(C3⋊D3)⋊C3C2211yescharacteristic
16C2×C4×#272C2212yescomplemented
17C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
18C2×C4×(C3⋊D3)⋊C3C2212yescomplemented
19C2×#6200C418yescomplemented
20C2×#6200C2211yescharacteristic
21C2×#6200C2211yescharacteristic
22C2×#6200C2211yescharacteristic
23C2×#6200C2211yescharacteristic
24C2×#6199C2212yescomplemented
25C2×((C3⋊D3)⋊C3)⋊C4C2212yescomplemented
26C22⋊C4×H(3,𝔽3)C2211yescharacteristic
27#88552C2211yescharacteristic
28#88542C2212yescomplemented
29#3757⋊C3C2211yescharacteristic
30#3757⋊C3C2211yescharacteristic
31#3752⋊C3C2212yescomplemented
32#3750⋊C3C2212yescomplemented
33C4×(C3⋊Dic3)⋊C3C2212yescomplemented
34#88451C2212yescomplemented
35#88450C2212yescomplemented
36#88448C2212yescomplemented
37#88447C2212yescomplemented
38C22×#626—31no—
39C22×#625—31no—
40C22⋊C4×C3⋊D3D311yescharacteristic, complemented
41#64086D311yescharacteristic, complemented
42C3×D3×C22⋊C4—31no—
43C3×D3×C22⋊C4—31no—
44C3×D3×C22⋊C4—31no—
45C3×D3×C22⋊C4—61no—
46C3×#877—31no—
47#63974—31no—
48D3×#217—31no—
49D3×#217—31no—
50D3×#217—31no—
51#63957—31no—
52#63955—31no—
53#63904—32no—
54C4×#626—32no—
55#63902—32no—
56C4×#625—32no—
57#63881—32no—
58#63880—32no—
59#63879—32no—
60#63879—32no—
61C23×H(3,𝔽3)C2311yescharacteristic
62C22×#272—42no—
63C22×#272C2×C414yescomplemented
64C22×#272C2311yescharacteristic
65C22×#272C2311yescharacteristic
66C22×(C3⋊D3)⋊C3—42no—
67C22×(C3⋊D3)⋊C3C2×C414yescomplemented
68C22×(C3⋊D3)⋊C3C2311yescharacteristic
69C22×(C3⋊D3)⋊C3C2311yescharacteristic
70C2×C4×H(3,𝔽3)C2312yes—
71C2×#1084C2312yes—
72C4×#272—42no—
73C2×(C3⋊Dic3)⋊C3C2×C414yescomplemented
74C2×(C3⋊Dic3)⋊C3C2312yes—
75C2×(C3⋊Dic3)⋊C3C2312yes—
76C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
77C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
78C4×(C3⋊D3)⋊C3—42no—
79#6200C2×C414yescomplemented
80#6200C2×C414yescomplemented
81#6200C2×C414yescomplemented
82#6200C2×C414yescomplemented
83#6199—42no—
84((C3⋊D3)⋊C3)⋊C4—42no—
85#5521—91no—
86#5486—91no—
87#5486—91no—
88C23×C3⋊D3C2×D311yescharacteristic
89C23×C3×D3—31no—
90C23×C3×D3—31no—
91C23×C3×D3—31no—
92C23×C3×D3—61no—
93C22×C3⋊Dic3C2×D311yescharacteristic
94C2×C4×C3⋊D3C2×D312yescomplemented
95C22×C3×Dic3—31no—
96C2×C3×C4×D3—32no—
97C2×C3×C4×D3—32no—
98C2×C3×C4×D3—32no—
99C2×C3×C4×D3—62no—
100C2×#626—38no—
101C2×#626—31no—
102C2×#626—31no—
103C2×#626—31no—
104C2×#626—31no—
105C2×#625—38no—
106C2×#625—31no—
107C2×#625—31no—
108C2×#625—31no—
109C2×#625—31no—
110C2×#624—32no—
111C2×D3×Dic3—32no—
112C2×D3×Dic3—32no—
113C2×D3×Dic3—32no—
114C32×C22⋊C4—21no—
115C32×C22⋊C4C2×D311yescharacteristic
116C32×C22⋊C4C2×D311yescharacteristic
117#3757C2×D311yescharacteristic
118#3757C2×D311yescharacteristic
119#3752C2×D312yescomplemented
120#3750C2×D312yescomplemented
121C4×C3⋊Dic3C2×D312yescomplemented
122C3×#217—31no—
123C3×#217—31no—
124C3×#217—31no—
125C3×#217—31no—
126C3×#217—61no—
127C3×(C2×D3)⋊C4—32no—
128C3×(C2×D3)⋊C4—32no—
129C3×(C2×D3)⋊C4—32no—
130C3×(C2×D3)⋊C4—62no—
131C3×Dic3⋊C4—32no—
132C3×C4×Dic3—32no—
133#3724—32no—
134Dic3⋊Dic3—32no—
135#3722—32no—
136(C2×D3)⋊Dic3—32no—
137(C2×D3)⋊Dic3—32no—
138(C2×D3)⋊Dic3—32no—
139Dic32—32no—
140Dic32—32no—
141C22×H(3,𝔽3)—22no—
142C22×H(3,𝔽3)C22×C412yes—
143C22×H(3,𝔽3)C2411yescharacteristic
144C2×#272—22no—
145C2×#272—22no—
146C2×#272—44no—
147C2×#272C22×C412yes—
148C2×#272C22×C412yes—
149C2×(C3⋊D3)⋊C3—22no—
150C2×(C3⋊D3)⋊C3—22no—
151C2×(C3⋊D3)⋊C3—44no—
152C2×(C3⋊D3)⋊C3C22×C412yes—
153C2×(C3⋊D3)⋊C3C22×C412yes—
154C4×H(3,𝔽3)—22no—
155#1084—22no—
156(C3⋊Dic3)⋊C3—22no—
157(C3⋊Dic3)⋊C3—22no—
158(C3⋊Dic3)⋊C3C22×C412yes—
159(C3⋊Dic3)⋊C3C22×C412yes—
160C22×#67—91no—
161C22×#67—91no—
162C22×D12—91no—
163C3×#117—91no—
164C2×C3×C22⋊C4—91no—
165C2×C3×C22⋊C4—91no—
166C2×#217—91no—
167C2×#217—91no—
168C4×#67—92no—
169C4×#67—92no—
170C4×#67—92no—
171C4×#67—92no—
172#926—91no—
173#893—92no—
174#893—92no—
175#67⋊C4—92no—
176#67⋊C4—92no—
177#67⋊C4—92no—
178#67⋊C4—92no—
179D3×C22⋊C4—31no—
180D3×C22⋊C4—31no—
181D3×C22⋊C4—31no—
182D3×C22⋊C4—61no—
183D3×C22⋊C4—91no—
184D3×C22⋊C4—91no—
185D3×C22⋊C4—91no—
186D3×C22⋊C4—91no—
187D3×C22⋊C4—91no—
188#877—31no—
189#877—91no—
190#877—91no—
191#877—91no—
192C4×D12—92no—
193C4×D12—92no—
194C23×C32—21no—
195C23×C32C22×D311yescharacteristic
196C23×C32C22×D311yescharacteristic
197C22×C3⋊D3—42no—
198C22×C3⋊D3C4×D314yescomplemented
199C22×C3⋊D3C22×D311yescharacteristic
200C22×C3⋊D3C22×D311yescharacteristic
201C22×C3×D3—31no—
202C22×C3×D3—31no—
203C22×C3×D3—31no—
204C22×C3×D3—31no—
205C22×C3×D3—31no—
206C22×C3×D3—31no—
207C22×C3×D3—34no—
208C22×C3×D3—34no—
209C22×C3×D3—34no—
210C22×C3×D3—61no—
211C22×C3×D3—64no—
212C22×C3×D3—61no—
213C22×C3×D3—122no—
214C22×C3×D3—122no—
215C22×C3×D3—122no—
216C22×C3×D3—124no—
217C2×C32×C4—22no—
218C2×C32×C4C22×D312yes—
219C2×C32×C4C22×D312yes—
220C2×C3⋊Dic3C4×D314yescomplemented
221C2×C3⋊Dic3C22×D312yes—
222C2×C3⋊Dic3C22×D312yes—
223C2×C3⋊Dic3C22×D311yescharacteristic
224C2×C3⋊Dic3C22×D311yescharacteristic
225C4×C3⋊D3—42no—
226C2×C3×Dic3—34no—
227C2×C3×Dic3—31no—
228C2×C3×Dic3—31no—
229C2×C3×Dic3—32no—
230C2×C3×Dic3—32no—
231C2×C3×Dic3—32no—
232C2×C3×Dic3—32no—
233C2×C3×Dic3—62no—
234C3×C4×D3—122no—
235C3×C4×D3—122no—
236C3×C4×D3—122no—
237C3×C4×D3—124no—
238#626—34no—
239#626—34no—
240#626—34no—
241#626—34no—
242#625—34no—
243#625—34no—
244#625—34no—
245#625—34no—
246#624—122no—
247D3×Dic3—122no—
248D3×Dic3—122no—
249D3×Dic3—122no—
250#518—271noSylow
251C2×H(3,𝔽3)—22no—
252C2×H(3,𝔽3)C23×C411yescharacteristic
253C2×H(3,𝔽3)H(5,𝔽2)12yes—
254#272—22no—
255#272—22no—
256(C3⋊D3)⋊C3—22no—
257(C3⋊D3)⋊C3—22no—
258C24×C3—91no—
259C24×C3—91no—
260C23×D3—31no—
261C23×D3—31no—
262C23×D3—31no—
263C23×D3—61no—
264C23×D3—91no—
265C22×C3×C4—92no—
266C22×C3×C4—91no—
267C22×C3×C4—92no—
268C2×#67—91no—
269C2×#67—91no—
270C2×#67—91no—
271C2×#67—91no—
272C2×#67—98no—
273C2×#67—91no—
274C2×#67—91no—
275C2×#67—91no—
276C2×#67—91no—
277C2×#67—98no—
278C22×Dic3—31no—
279C22×Dic3—91no—
280C22×Dic3—92no—
281C22×Dic3—92no—
282C2×D12—91no—
283C2×D12—91no—
284C2×D12—91no—
285C2×D12—91no—
286C2×D12—98no—
287C2×C4×D3—32no—
288C2×C4×D3—32no—
289C2×C4×D3—32no—
290C2×C4×D3—62no—
291C2×C4×D3—92no—
292C2×C4×D3—92no—
293C2×C4×D3—92no—
294C2×C4×D3—92no—
295C2×C4×D3—92no—
296C3×C4⋊C4—92no—
297C3×C22⋊C4—31no—
298C3×C22⋊C4—31no—
299C3×C22⋊C4—61no—
300C3×C22⋊C4—92no—
301C3×C22⋊C4—91no—
302C3×C22⋊C4—91no—
303C3×C22⋊C4—91no—
304C3×C22⋊C4—92no—
305C3×C22⋊C4D3211yescharacteristic
306C3×C42—92no—
307#217—31no—
308#217—31no—
309#217—31no—
310#217—31no—
311#217—61no—
312#217—91no—
313#217—91no—
314#217—92no—
315#217—92no—
316(C2×D3)⋊C4—32no—
317(C2×D3)⋊C4—32no—
318(C2×D3)⋊C4—32no—
319(C2×D3)⋊C4—62no—
320(C2×D3)⋊C4—92no—
321(C2×D3)⋊C4—92no—
322(C2×D3)⋊C4—92no—
323(C2×D3)⋊C4—92no—
324(C2×D3)⋊C4—92no—
325C4⋊Dic3—92no—
326Dic3⋊C4—32no—
327Dic3⋊C4—92no—
328Dic3⋊C4—92no—
329Dic3⋊C4—92no—
330C4×Dic3—32no—
331C4×Dic3—92no—
332C4×Dic3—92no—
333C4×Dic3—92no—
334C4×Dic3—92no—
335C22×C32—22no—
336C22×C32—22no—
337C22×C32—21no—
338C22×C32—22no—
339C22×C32—42no—
340C22×C32C2×C4×D312yes—
341C22×C32C2×C4×D312yes—
342C22×C32C23×D311yescharacteristic
343C22×C32C23×D311yescharacteristic
344C2×C3⋊D3—22no—
345C2×C3⋊D3—22no—
346C2×C3⋊D3—44no—
347C2×C3⋊D3C2×C4×D312yes—
348C2×C3⋊D3C2×C4×D312yes—
349C2×C3×D3—32no—
350C2×C3×D3—32no—
351C2×C3×D3—32no—
352C2×C3×D3—32no—
353C2×C3×D3—32no—
354C2×C3×D3—32no—
355C2×C3×D3—62no—
356C2×C3×D3—62no—
357C2×C3×D3—64no—
358C2×C3×D3—62no—
359C2×C3×D3—62no—
360C2×C3×D3—62no—
361C2×C3×D3—62no—
362C2×C3×D3—62no—
363C2×C3×D3—62no—
364C2×C3×D3—122no—
365C2×C3×D3—124no—
366C2×C3×D3—124no—
367C2×C3×D3—124no—
368C2×C3×D3—128no—
369C32×C4—22no—
370C32×C4—22no—
371C32×C4—42no—
372C3⋊Dic3—22no—
373C3⋊Dic3—22no—
374C3⋊Dic3C2×C4×D312yes—
375C3⋊Dic3C2×C4×D312yes—
376C3×Dic3—32no—
377C3×Dic3—32no—
378C3×Dic3—62no—
379C3×Dic3—62no—
380C3×Dic3—62no—
381C3×Dic3—62no—
382C3×Dic3—122no—
383C22×D4—271no—
384C4×D4—272no—
385C4×D4—272no—
386C4×D4—272no—
387C4×D4—272no—
388#117—91no—
389#117—271no—
390C2×C22⋊C4—91no—
391C2×C22⋊C4—91no—
392C2×C22⋊C4—271no—
393C2×C22⋊C4—271no—
394H(3,𝔽3)#51811yescharacteristic, complemented, Sylow
395C23×C3—31no—
396C23×C3—31no—
397C23×C3—61no—
398C23×C3—91no—
399C23×C3—91no—
400C23×C3—94no—
401C23×C3—91no—
402C23×C3—91no—
403C23×C3—94no—
404C23×C3—362no—
405C23×C3—362no—
406C23×C3C2×D3211yescharacteristic
407C22×D3—31no—
408C22×D3—31no—
409C22×D3—31no—
410C22×D3—31no—
411C22×D3—31no—
412C22×D3—31no—
413C22×D3—34no—
414C22×D3—34no—
415C22×D3—34no—
416C22×D3—61no—
417C22×D3—61no—
418C22×D3—64no—
419C22×D3—91no—
420C22×D3—91no—
421C22×D3—94no—
422C22×D3—122no—
423C22×D3—122no—
424C22×D3—122no—
425C22×D3—124no—
426C22×D3—362no—
427C2×C3×C4—32no—
428C2×C3×C4—32no—
429C2×C3×C4—62no—
430C2×C3×C4—91no—
431C2×C3×C4—91no—
432C2×C3×C4—94no—
433C2×C3×C4—92no—
434C2×C3×C4—92no—
435C2×C3×C4—92no—
436C2×C3×C4—362no—
437C2×C3×C4—362no—
438C2×C3×C4C2×D3212yes—
439#67—94no—
440#67—94no—
441#67—94no—
442#67—94no—
443#67—94no—
444#67—94no—
445#67—94no—
446#67—94no—
447C2×Dic3—31no—
448C2×Dic3—31no—
449C2×Dic3—34no—
450C2×Dic3—32no—
451C2×Dic3—32no—
452C2×Dic3—32no—
453C2×Dic3—32no—
454C2×Dic3—62no—
455C2×Dic3—94no—
456C2×Dic3—91no—
457C2×Dic3—91no—
458C2×Dic3—92no—
459C2×Dic3—92no—
460C2×Dic3—362no—
461C2×Dic3—362no—
462D12—94no—
463D12—94no—
464D12—94no—
465D12—94no—
466C4×D3—122no—
467C4×D3—122no—
468C4×D3—122no—
469C4×D3—124no—
470C4×D3—362no—
471C4×D3—362no—
472C4×D3—362no—
473C4×D3—362no—
474C4×D3—362no—
475C2×C32—22no—
476C2×C32—22no—
477C2×C32—21no—
478C2×C32—22no—
479C2×C32—42no—
480C2×C32C22×C4×D311yescharacteristic
481C2×C32C22×C4×D311yescharacteristic
482C2×C32#100412yes—
483C2×C32#100912yes—
484C3⋊D3—22no—
485C3⋊D3—22no—
486C3×D3—64no—
487C3×D3—62no—
488C3×D3—62no—
489C3×D3—62no—
490C3×D3—62no—
491C3×D3—62no—
492C3×D3—62no—
493C3×D3—122no—
494C24—91no—
495C24—91no—
496C2×D4—271no—
497C2×D4—271no—
498C2×D4—271no—
499C2×D4—271no—
500C2×D4—278no—
501C22×C4—91no—
502C22×C4—92no—
503C22×C4—92no—
504C22×C4—272no—
505C22×C4—272no—
506C4⋊C4—92no—
507C4⋊C4—272no—
508C22⋊C4—91no—
509C22⋊C4—91no—
510C22⋊C4—91no—
511C22⋊C4—92no—
512C22⋊C4—92no—
513C22⋊C4—272no—
514C22⋊C4—272no—
515C22⋊C4((C3⋊D3)⋊C3)⋊C211yescharacteristic
516C42—92no—
517C42—272no—
518C22×C3—22no—
519C22×C3—31no—
520C22×C3—31no—
521C22×C3—32no—
522C22×C3—32no—
523C22×C3—62no—
524C22×C3—62no—
525C22×C3—61no—
526C22×C3—62no—
527C22×C3—92no—
528C22×C3—92no—
529C22×C3—92no—
530C22×C3—92no—
531C22×C3—122no—
532C22×C3—182no—
533C22×C3—182no—
534C22×C3—182no—
535C22×C3—182no—
536C22×C3—364no—
537C22×C3—364no—
538C22×C3C4×D3212yes—
539C22×C3C22×D3211yescharacteristic
540C2×D3—32no—
541C2×D3—32no—
542C2×D3—32no—
543C2×D3—32no—
544C2×D3—32no—
545C2×D3—32no—
546C2×D3—62no—
547C2×D3—62no—
548C2×D3—62no—
549C2×D3—62no—
550C2×D3—62no—
551C2×D3—62no—
552C2×D3—64no—
553C2×D3—62no—
554C2×D3—62no—
555C2×D3—92no—
556C2×D3—92no—
557C2×D3—122no—
558C2×D3—124no—
559C2×D3—124no—
560C2×D3—124no—
561C2×D3—128no—
562C2×D3—182no—
563C2×D3—182no—
564C2×D3—364no—
565C3×C4—22no—
566C3×C4—62no—
567C3×C4—62no—
568C3×C4—92no—
569C3×C4—92no—
570C3×C4—122no—
571C3×C4—182no—
572C3×C4—182no—
573C3×C4—182no—
574Dic3—32no—
575Dic3—32no—
576Dic3—62no—
577Dic3—62no—
578Dic3—62no—
579Dic3—62no—
580Dic3—92no—
581Dic3—92no—
582Dic3—122no—
583Dic3—182no—
584Dic3—182no—
585C32—21no—
586C32#548611yescharacteristic, complemented
587C32#552111yescharacteristic, complemented
588C23—91no—
589C23—91no—
590C23—91no—
591C23—91no—
592C23—94no—
593C23—94no—
594C23—362no—
595C23—362no—
596C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
597D4—274no—
598D4—274no—
599D4—274no—
600D4—274no—
601C2×C4—91no—
602C2×C4—91no—
603C2×C4—94no—
604C2×C4—92no—
605C2×C4—92no—
606C2×C4—92no—
607C2×C4—362no—
608C2×C4—362no—
609C2×C4—1082no—
610C2×C4—1082no—
611C2×C4C2×((C3⋊D3)⋊C3)⋊C212yes—
612C2×C3—22no—
613C2×C3—32no—
614C2×C3—32no—
615C2×C3—31no—
616C2×C3—31no—
617C2×C3—62no—
618C2×C3—62no—
619C2×C3—62no—
620C2×C3—61no—
621C2×C3—122no—
622C2×C3—182no—
623C2×C3—182no—
624C2×C3—182no—
625C2×C3—182no—
626C2×C3C2×C4×D3211yescharacteristic
627C2×C3#6431412yes—
628D3—62no—
629D3—62no—
630D3—62no—
631D3—62no—
632D3—64no—
633D3—62no—
634D3—62no—
635D3—122no—
636D3—182no—
637D3—182no—
638C22—22no—
639C22—92no—
640C22—92no—
641C22—92no—
642C22—92no—
643C22—182no—
644C22—182no—
645C22—182no—
646C22—182no—
647C22—364no—
648C22—364no—
649C22C4×((C3⋊D3)⋊C3)⋊C212yes—
650C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
651C4—22no—
652C4—92no—
653C4—92no—
654C4—182no—
655C4—182no—
656C4—182no—
657C3—31no—
658C3—31no—
659C3—61no—
660C3#1059418211yescharacteristic
661C2—22no—
662C2—182no—
663C2—182no—
664C2—182no—
665C2—182no—
666C2C2×C4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
667C2#1172250712yes—
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutatorC2×H(3,𝔽3)C23×C4
Frattini, socleC22×C3C22×D32
FittingC22⋊C4×H(3,𝔽3)C22
prime radicalC22×#6200C2
cosocleC22×H(3,𝔽3)C24
hypercenterC22⋊C4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)#518
LCSG ▷ C2×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22⋊C4×#272C2semidirect
3. C22⋊C4×(C3⋊D3)⋊C3C2semidirect
4. #64086⋊C3C2semidirect
5. #11721320C2semidirect
6. #11721310C2semidirect
7. #11721296C2semidirect
8. #11721154C2semidirect
9. C4×#6200C2semidirect
10. #11721124C2semidirect
11. #11721123C2semidirect
16. C2×C4×#272C22semidirect
18. C2×C4×(C3⋊D3)⋊C3C22semidirect
19. C2×#6200C4semidirect
24. C2×#6199C22semidirect
25. C2×((C3⋊D3)⋊C3)⋊C4C22semidirect
28. #88542C22semidirect
31. #3752⋊C3C22semidirect
32. #3750⋊C3C22semidirect
33. C4×(C3⋊Dic3)⋊C3C22semidirect
34. #88451C22semidirect
35. #88450C22semidirect
36. #88448C22semidirect
37. #88447C22semidirect
40. C22⋊C4×C3⋊D3D3semidirect
41. #64086D3semidirect
63. C22×#272C2×C4semidirect
67. C22×(C3⋊D3)⋊C3C2×C4semidirect
73. C2×(C3⋊Dic3)⋊C3C2×C4semidirect
79. #6200C2×C4semidirect
80. #6200C2×C4semidirect
81. #6200C2×C4semidirect
82. #6200C2×C4semidirect
94. C2×C4×C3⋊D3C2×D3semidirect
119. #3752C2×D3semidirect
120. #3750C2×D3semidirect
121. C4×C3⋊Dic3C2×D3semidirect
198. C22×C3⋊D3C4×D3semidirect
220. C2×C3⋊Dic3C4×D3semidirect
394. H(3,𝔽3)#518semidirect
586. C32#5486semidirect
587. C32#5521semidirect

Maximal subgroups

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

subgroupindex
C22×#62002
C22⋊C4×#2722
C22⋊C4×(C3⋊D3)⋊C32
#64086⋊C32
#117213202
#117213102
#117212962
#117211542
C4×#62002
#117211242
#117211232
#105941823
#105941813