Finite Group Databasebeta

← C3×#11923787 #72245708

Subgroups — C3×#11923787 #72245708

Order 3456.

1501 conjugacy classes of subgroups; only the 66 normal subgroups are shown.

normal subgroups only

This group has 1501 conjugacy classes of subgroups — too many to draw. Only its 66 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#5950C211yesmaximal, characteristic, complemented
2C3×C3⋊#5935C212yesmaximal, complemented
3#11923787C311yesmaximal, characteristic, direct product factor
4C3×#87522—33nomaximal
5C3×#84122—31nomaximal
6C32×#997C2211yescharacteristic, complemented
7C3×#64267—42nomaximal
8C3×C4⋊(C3⋊S4)—41nomaximal
9C32×#585D311yescharacteristic, complemented
10C3×#5950—21no—
11C3×#5950—23no—
12C3×#5950D313yescomplemented
13C3×#5950C2×C311yescharacteristic, complemented
14C3⋊#5935C2×C312yescomplemented
15C3×#5935—36no—
16C3×#5830—31no—
17C2×C3×#949—32no—
18C3×#5245—34no—
19C3×#5241—32no—
20C3×#5241—32no—
21C3×#5237—31no—
22C3×#5236—32no—
23C2×C3×C3⋊S4—42no—
24C32×#41⋊C3—42no—
25C32×C4×A4—41no—
26C32×C4×A4—81no—
27C3×C3⋊GL(2,𝔽3)—44no—
28#87522—33no—
29C3×#3021—91no—
30#84122—31no—
31C32×2−1+4—32no—
32C32×H(5,𝔽2)—31no—
33C32×H(5,𝔽2)—61no—
34C32×H(5,𝔽2)C2×D311yescharacteristic
35C2×C32×#41—31no—
36C2×C32×#41—32no—
37C2×C32×#41—61no—
38C22×C3×D12—31no—
39C3×#997—21no—
40C3×#997—23no—
41C3×#997C2×D313yescomplemented
42C3×#997C22×C311yescharacteristic, complemented
43#64267—42no—
44C4⋊(C3⋊S4)—41no—
45C3×#986—126no—
46C3×C4⋊S4—123no—
47C3×#949—34no—
48C3×#949—34no—
49C3×#949—62no—
50C3×#949—62no—
51C3×#947—32no—
52C2×C3×#215—62no—
53C3×#940—32no—
54C3×#937—61no—
55C3×#937—61no—
56C2×C3×#213—62no—
57C3×#930—61no—
58C3×#930—61no—
59C3×#926—31no—
60C2×C3×#208—32no—
61C3×#837—34no—
62C3×#837—34no—
63C3×#836—32no—
64C3×#833—32no—
65C2×C32×A4—41no—
66C2×C32×A4—81no—
67C3×C3⋊S4—82no—
68C3×C4⋊(C3⋊D3)—161no—
69C32×SL(2,𝔽3)—42no—
70C3×#585—21no—
71C3×#585C3×D311yescharacteristic, complemented
72C3×#585C3⋊D311yescharacteristic, complemented
73#5950—23no—
74#5950C3×D313yescomplemented
75#5935—36no—
76C2×C3×AGL(1,ℤ/8)—92no—
77C3×#535—91no—
78#5830—31no—
79C2×#949—32no—
80C3×#454—94no—
81C3×#453—92no—
82C3×#453—92no—
83C3×#421—92no—
84C3×#413—91no—
85#5245—34no—
86#5241—32no—
87#5241—32no—
88#5237—31no—
89#5236—32no—
90C23×C3×D3—61no—
91C2×C3⋊S4—42no—
92C2×C3×S4—126no—
93C32×#41—32no—
94C32×#41—32no—
95C32×#41—32no—
96C32×#41—62no—
97C32×#41—62no—
98C32×#41—62no—
99C32×#41—62no—
100C32×#41—62no—
101C32×#41S412yescomplemented
102C2×C32×Q8—31no—
103C2×C32×Q8—32no—
104C2×C32×Q8—61no—
105C2×C32×D4—32no—
106C2×C32×D4—31no—
107C2×C32×D4—31no—
108C2×C32×D4—31no—
109C2×C32×D4—61no—
110C2×C32×D4—62no—
111C2×C32×D4—61no—
112C2×C32×D4—61no—
113C22×C32×C4—21no—
114C22×C32×C4—31no—
115C22×C32×C4—31no—
116C22×C32×C4—61no—
117C22×C32×C4S411yescharacteristic
118C2×C3×#67—62no—
119C2×C3×#67—62no—
120C2×C3×D12—32no—
121C2×C3×D12—62no—
122C2×C3×D12—62no—
123C2×C3×D12—61no—
124C3×#41⋊C3—42no—
125C3×#41⋊C3—46no—
126C3×#41⋊C3—86no—
127C3×#41⋊C3—82no—
128C3×C4×A4—41no—
129C3×C4×A4—43no—
130C3×C4×A4—83no—
131C3×C4×A4—81no—
132C3×C4×A4—83no—
133C3×C4×A4—86no—
134C3×C4×A4—82no—
135C3×C4×A4—81no—
136C3⋊GL(2,𝔽3)—44no—
137C3×GL(2,𝔽3)—1212no—
138C3×#217—61no—
139C3×#215—64no—
140C3×#215—64no—
141C3×#213—64no—
142C3×#213—64no—
143C3×(C2×D3)⋊C4—62no—
144C3×(C2×D3)⋊C4—62no—
145C3×C4⋊Dic3—61no—
146C3×C4×Dic3—32no—
147C3×#208—34no—
148C3×#208—62no—
149C2×C3×C3⋊C8—62no—
150#3021—91noSylow
151C2×C3×C3⋊D3—162no—
152C32×A4—41no—
153C32×A4—81no—
154C33×C4—161no—
155C3×2−1+4—32no—
156C3×2−1+4—32no—
157C3×2−1+4—62no—
158C3×H(5,𝔽2)—21no—
159C3×H(5,𝔽2)—31no—
160C3×H(5,𝔽2)—31no—
161C3×H(5,𝔽2)—61no—
162C3×H(5,𝔽2)—61no—
163C3×H(5,𝔽2)—61no—
164C3×H(5,𝔽2)—62no—
165C3×H(5,𝔽2)C2×C3×D311yescharacteristic
166C3×H(5,𝔽2)C2×C3⋊D311yescharacteristic
167C2×C3×#41—31no—
168C2×C3×#41—31no—
169C2×C3×#41—32no—
170C2×C3×#41—32no—
171C2×C3×#41—61no—
172C2×C3×#41—62no—
173C2×C3×#41—61no—
174C2×C3×#41—61no—
175C2×C3×#41—62no—
176C22×C3×D4—91no—
177C22×D12—31no—
178#997—23no—
179#997C2×C3×D313yescomplemented
180#986—126no—
181C4⋊S4—123no—
182C3×AGL(1,ℤ/8)—94no—
183C3×AGL(1,ℤ/8)—94no—
184C3×AGL(1,ℤ/8)—182no—
185C3×AGL(1,ℤ/8)—182no—
186C2×C3×SD16—182no—
187C2×C3×D8—182no—
188C2×C3×M16—92no—
189C3×#127—92no—
190C3×#124—92no—
191C3×#121—181no—
192C3×#121—181no—
193C3×#120—181no—
194C3×#120—181no—
195C3×#117—91no—
196#949—34no—
197#949—34no—
198#949—62no—
199#949—62no—
200#947—32no—
201C2×#215—62no—
202#940—32no—
203#937—61no—
204#937—61no—
205C2×#213—62no—
206#930—61no—
207#930—61no—
208#926—31no—
209C2×#208—32no—
210C3×#104—94no—
211C3×#104—94no—
212C3×#101—92no—
213C3×#100—92no—
214#837—34no—
215#837—34no—
216#836—32no—
217#833—32no—
218C23×C32—21no—
219C23×C32—31no—
220C23×C32—31no—
221C23×C32—61no—
222C23×C32C2×S411yescharacteristic
223C22×C3×D3—62no—
224C22×C3×D3—122no—
225C22×C3×D3—242no—
226C2×C3×A4—41no—
227C2×C3×A4—43no—
228C2×C3×A4—83no—
229C2×C3×A4—81no—
230C2×C3×A4—83no—
231C2×C3×A4—86no—
232C2×C3×A4—82no—
233C2×C3×A4—81no—
234C3⋊S4—82no—
235C3×S4—246no—
236C32×Q8—32no—
237C32×Q8—62no—
238C32×Q8C2×S412yes—
239C32×D4—32no—
240C32×D4—32no—
241C32×D4—62no—
242C32×D4—62no—
243C32×D4—62no—
244C32×D4—62no—
245C2×C32×C4—32no—
246C2×C32×C4—31no—
247C2×C32×C4—32no—
248C2×C32×C4—31no—
249C2×C32×C4—31no—
250C2×C32×C4—31no—
251C2×C32×C4—61no—
252C2×C32×C4—62no—
253C2×C32×C4—61no—
254C2×C32×C4—61no—
255C2×C32×C4—61no—
256C4⋊(C3⋊D3)—161no—
257C3×#67—242no—
258C3×#67—242no—
259C2×C3×Dic3—62no—
260C3×D12—64no—
261C3×D12—121no—
262C3×D12—121no—
263C3×D12—483no—
264C3×SL(2,𝔽3)—42no—
265C3×SL(2,𝔽3)—46no—
266C3×SL(2,𝔽3)—86no—
267C3×SL(2,𝔽3)—82no—
268C3×C3⋊C8—64no—
269#585C3×C3⋊D311yescharacteristic, complemented
270C2×AGL(1,ℤ/8)—92no—
271#535—91no—
272#454—94no—
273#453—92no—
274#453—92no—
275#421—92no—
276#413—91no—
277C2×C33—161no—
278C3×C3⋊D3—322no—
279C24×C3—181no—
280C23×D3—61no—
281C2×S4—126no—
282C3×#41—22no—
283C3×#41—32no—
284C3×#41—32no—
285C3×#41—32no—
286C3×#41—32no—
287C3×#41—32no—
288C3×#41—32no—
289C3×#41—62no—
290C3×#41—62no—
291C3×#41—62no—
292C3×#41—62no—
293C3×#41—62no—
294C3×#41—62no—
295C3×#41—62no—
296C3×#41—62no—
297C3×#41—62no—
298C3×#41—62no—
299C3×#41—62no—
300C3×#41—62no—
301C3×#41—62no—
302C3×#41—64no—
303C3×#41—64no—
304C3×#41—64no—
305C3×#41—64no—
306C3×#41—64no—
307C3×#41C3×S412yescomplemented
308C3×#41C3⋊S412yescomplemented
309C2×C3×Q8—31no—
310C2×C3×Q8—31no—
311C2×C3×Q8—32no—
312C2×C3×Q8—32no—
313C2×C3×Q8—62no—
314C2×C3×Q8—61no—
315C2×C3×Q8—61no—
316C2×C3×Q8—61no—
317C2×C3×Q8—62no—
318C2×C3×D4—32no—
319C2×C3×D4—32no—
320C2×C3×D4—31no—
321C2×C3×D4—31no—
322C2×C3×D4—31no—
323C2×C3×D4—31no—
324C2×C3×D4—31no—
325C2×C3×D4—31no—
326C2×C3×D4—61no—
327C2×C3×D4—61no—
328C2×C3×D4—62no—
329C2×C3×D4—61no—
330C2×C3×D4—61no—
331C2×C3×D4—61no—
332C2×C3×D4—62no—
333C2×C3×D4—62no—
334C2×C3×D4—62no—
335C2×C3×D4—61no—
336C2×C3×D4—61no—
337C2×C3×D4—62no—
338C2×C3×D4—61no—
339C2×C3×D4—61no—
340C2×C3×D4—64no—
341C2×C3×D4—62no—
342C2×C3×D4—92no—
343C2×C3×D4—182no—
344C2×C3×D4—182no—
345C2×C3×D4—181no—
346C2×C3×D4—182no—
347C2×C3×D4—182no—
348C22×C3×C4—22no—
349C22×C3×C4—21no—
350C22×C3×C4—21no—
351C22×C3×C4—21no—
352C22×C3×C4—31no—
353C22×C3×C4—31no—
354C22×C3×C4—31no—
355C22×C3×C4—31no—
356C22×C3×C4—61no—
357C22×C3×C4—61no—
358C22×C3×C4—61no—
359C22×C3×C4—61no—
360C22×C3×C4—62no—
361C22×C3×C4C3×S411yescharacteristic
362C22×C3×C4C3⋊S411yescharacteristic
363C2×#67—62no—
364C2×#67—62no—
365C2×D12—32no—
366C2×D12—62no—
367C2×D12—62no—
368C2×D12—61no—
369#41⋊C3—46no—
370#41⋊C3—86no—
371C4×A4—43no—
372C4×A4—83no—
373C4×A4—86no—
374C4×A4—83no—
375GL(2,𝔽3)—1212no—
376C3×SD16—184no—
377C3×SD16—184no—
378C3×D8—184no—
379C3×D8—184no—
380C3×M16—94no—
381C3×M16—182no—
382C2×C3×C8—182no—
383C3×C4⋊C4—181no—
384C3×C22⋊C4—182no—
385C3×C22⋊C4—182no—
386C3×C22⋊C4—181no—
387C3×C42—92no—
388#217—61no—
389#215—64no—
390#215—64no—
391#213—64no—
392#213—64no—
393(C2×D3)⋊C4—62no—
394(C2×D3)⋊C4—62no—
395C4⋊Dic3—61no—
396C4×Dic3—32no—
397#208—34no—
398#208—62no—
399C2×C3⋊C8—62no—
400C22×C32—31no—
401C22×C32—32no—
402C22×C32—41no—
403C22×C32—61no—
404C22×C32—81no—
405C22×C32—121no—
406C22×C32—121no—
407C22×C32—241no—
408C2×C3⋊D3—162no—
409C2×C3×D3—122no—
410C2×C3×D3—122no—
411C2×C3×D3—122no—
412C2×C3×D3—244no—
413C2×C3×D3—486no—
414C3×A4—41no—
415C3×A4—43no—
416C3×A4—81no—
417C3×A4—83no—
418C3×A4—83no—
419C3×A4—81no—
420C3×A4—86no—
421C3×A4—82no—
422C32×C4—32no—
423C32×C4—31no—
424C32×C4—61no—
425C32×C4—161no—
426C32×C4—163no—
427C32×C4—323no—
428C32×C4—321no—
429C32×C4#102011yescharacteristic
430C3×Dic3—122no—
4312−1+4—32no—
432H(5,𝔽2)—31no—
433H(5,𝔽2)—61no—
434H(5,𝔽2)C2×C3×C3⋊D311yescharacteristic
435C2×#41—31no—
436C2×#41—32no—
437C2×#41—61no—
438C22×D4—91no—
439AGL(1,ℤ/8)—94no—
440AGL(1,ℤ/8)—94no—
441AGL(1,ℤ/8)—182no—
442AGL(1,ℤ/8)—182no—
443C2×SD16—182no—
444C2×D8—182no—
445C2×M16—92no—
446#127—92no—
447#124—92no—
448#121—181no—
449#121—181no—
450#120—181no—
451#120—181no—
452#117—91no—
453#104—94no—
454#104—94no—
455#101—92no—
456#100—92no—
457C33—161noSylow
458C23×C3—22no—
459C23×C3—21no—
460C23×C3—21no—
461C23×C3—21no—
462C23×C3—31no—
463C23×C3—31no—
464C23×C3—31no—
465C23×C3—31no—
466C23×C3—61no—
467C23×C3—61no—
468C23×C3—61no—
469C23×C3—61no—
470C23×C3—62no—
471C23×C3—182no—
472C23×C3—362no—
473C23×C3—722no—
474C23×C3C2×C3×S411yescharacteristic
475C23×C3C2×C3⋊S411yescharacteristic
476C22×D3—62no—
477C22×D3—122no—
478C22×D3—242no—
479C2×A4—43no—
480C2×A4—83no—
481C2×A4—86no—
482C2×A4—83no—
483S4—246no—
484C3×Q8—22no—
485C3×Q8—32no—
486C3×Q8—32no—
487C3×Q8—62no—
488C3×Q8—62no—
489C3×Q8—62no—
490C3×Q8—64no—
491C3×Q8C2×C3×S412yes—
492C3×Q8C2×C3⋊S412yes—
493C3×D4—32no—
494C3×D4—32no—
495C3×D4—32no—
496C3×D4—32no—
497C3×D4—62no—
498C3×D4—62no—
499C3×D4—62no—
500C3×D4—62no—
501C3×D4—62no—
502C3×D4—62no—
503C3×D4—62no—
504C3×D4—62no—
505C3×D4—62no—
506C3×D4—62no—
507C3×D4—64no—
508C3×D4—64no—
509C3×D4—64no—
510C3×D4—64no—
511C3×D4—184no—
512C3×D4—361no—
513C3×D4—361no—
514C3×D4—722no—
515C3×D4—722no—
516C2×C3×C4—32no—
517C2×C3×C4—31no—
518C2×C3×C4—31no—
519C2×C3×C4—32no—
520C2×C3×C4—32no—
521C2×C3×C4—31no—
522C2×C3×C4—31no—
523C2×C3×C4—32no—
524C2×C3×C4—31no—
525C2×C3×C4—31no—
526C2×C3×C4—31no—
527C2×C3×C4—31no—
528C2×C3×C4—61no—
529C2×C3×C4—62no—
530C2×C3×C4—61no—
531C2×C3×C4—62no—
532C2×C3×C4—61no—
533C2×C3×C4—61no—
534C2×C3×C4—62no—
535C2×C3×C4—61no—
536C2×C3×C4—61no—
537C2×C3×C4—62no—
538C2×C3×C4—62no—
539C2×C3×C4—61no—
540C2×C3×C4—61no—
541C2×C3×C4—62no—
542C2×C3×C4—64no—
543C2×C3×C4—62no—
544C2×C3×C4—61no—
545C2×C3×C4—61no—
546C2×C3×C4—62no—
547C2×C3×C4—61no—
548C2×C3×C4—61no—
549C2×C3×C4—182no—
550#67—242no—
551#67—242no—
552C2×Dic3—62no—
553D12—64no—
554D12—121no—
555D12—121no—
556D12—483no—
557SL(2,𝔽3)—46no—
558SL(2,𝔽3)—86no—
559C3×C8—184no—
560C3⋊C8—64no—
561C2×C32—61no—
562C2×C32—62no—
563C2×C32—121no—
564C2×C32—161no—
565C2×C32—163no—
566C2×C32—323no—
567C2×C32—321no—
568C2×C32C2×#102011yescharacteristic
569C3⋊D3—322no—
570C3×D3—242no—
571C3×D3—966no—
572C24—181no—
573#41—32no—
574#41—32no—
575#41—32no—
576#41—62no—
577#41—62no—
578#41—62no—
579#41—62no—
580#41—62no—
581#41C3×C3⋊S412yescomplemented
582C2×Q8—31no—
583C2×Q8—32no—
584C2×Q8—61no—
585C2×D4—32no—
586C2×D4—31no—
587C2×D4—31no—
588C2×D4—31no—
589C2×D4—61no—
590C2×D4—62no—
591C2×D4—61no—
592C2×D4—61no—
593C2×D4—92no—
594C2×D4—182no—
595C2×D4—182no—
596C2×D4—181no—
597C2×D4—182no—
598C2×D4—182no—
599C22×C4—21no—
600C22×C4—31no—
601C22×C4—31no—
602C22×C4—61no—
603C22×C4C3×C3⋊S411yescharacteristic
604SD16—184no—
605SD16—184no—
606D8—184no—
607D8—184no—
608M16—94no—
609M16—182no—
610C2×C8—182no—
611C4⋊C4—181no—
612C22⋊C4—182no—
613C22⋊C4—182no—
614C22⋊C4—181no—
615C42—92no—
616C22×C3—31no—
617C22×C3—32no—
618C22×C3—31no—
619C22×C3—32no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—61no—
623C22×C3—62no—
624C22×C3—62no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3—81no—
628C22×C3—82no—
629C22×C3—81no—
630C22×C3—81no—
631C22×C3—121no—
632C22×C3—121no—
633C22×C3—121no—
634C22×C3—121no—
635C22×C3—241no—
636C22×C3—241no—
637C22×C3—241no—
638C22×C3—241no—
639C22×C3—242no—
640C22×C3—362no—
641C22×C3—362no—
642C22×C3—362no—
643C22×C3—724no—
644C2×D3—122no—
645C2×D3—122no—
646C2×D3—122no—
647C2×D3—244no—
648C2×D3—486no—
649A4—43no—
650A4—83no—
651A4—83no—
652A4—86no—
653C3×C4—21no—
654C3×C4—32no—
655C3×C4—31no—
656C3×C4—32no—
657C3×C4—31no—
658C3×C4—62no—
659C3×C4—61no—
660C3×C4—62no—
661C3×C4—61no—
662C3×C4—61no—
663C3×C4—163no—
664C3×C4—323no—
665C3×C4—362no—
666C3×C4C3×#102011yescharacteristic
667C3×C4C3⋊#102011yescharacteristic
668Dic3—122no—
669C32—161no—
670C32—163no—
671C32—323no—
672C32—321no—
673C32#8752211yescharacteristic, complemented
674C23—21no—
675C23—31no—
676C23—31no—
677C23—61no—
678C23—182no—
679C23—362no—
680C23—722no—
681C23C2×C3×C3⋊S411yescharacteristic
682Q8—32no—
683Q8—62no—
684Q8C2×C3×C3⋊S412yes—
685D4—32no—
686D4—32no—
687D4—62no—
688D4—62no—
689D4—62no—
690D4—62no—
691D4—184no—
692D4—361no—
693D4—361no—
694D4—722no—
695D4—722no—
696C2×C4—31no—
697C2×C4—32no—
698C2×C4—31no—
699C2×C4—32no—
700C2×C4—31no—
701C2×C4—31no—
702C2×C4—61no—
703C2×C4—62no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—182no—
708C8—184no—
709C2×C3—21no—
710C2×C3—61no—
711C2×C3—62no—
712C2×C3—61no—
713C2×C3—62no—
714C2×C3—121no—
715C2×C3—122no—
716C2×C3—122no—
717C2×C3—121no—
718C2×C3—121no—
719C2×C3—163no—
720C2×C3—323no—
721C2×C3—722no—
722C2×C3C2×C3×#102011yescharacteristic
723C2×C3C2×C3⋊#102011yescharacteristic
724D3—242no—
725D3—966no—
726C22—31no—
727C22—32no—
728C22—41no—
729C22—61no—
730C22—81no—
731C22—121no—
732C22—121no—
733C22—241no—
734C22—362no—
735C22—362no—
736C22—362no—
737C22—724no—
738C4—32no—
739C4—31no—
740C4—61no—
741C4—362no—
742C4C3×C3⋊#102011yescharacteristic
743C3—21no—
744C3—163no—
745C3—323no—
746C3C3×#8752211yescharacteristic, complemented
747C3#1192378711yescharacteristic, direct product factor
748C2—61no—
749C2—62no—
750C2—121no—
751C2—722no—
752C2C2×C3×C3⋊#102011yescharacteristic
subgroupG/H
centerC2×C3C2×C3⋊#1020
commutator, cosocle, hypocenterC3×#997C22×C3
FrattiniC2C2×C3×C3⋊#1020
FittingC32×#585D3
socleC2×C32C2×#1020
hypercenterC3×C4C3⋊#1020
LCSG ▷ C3×#997
UCSC1 ◁ C2×C3 ◁ C3×C4

Complements

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

NH ≅ G/Ntype
1. C32×#5950C2semidirect
2. C3×C3⋊#5935C2semidirect
3. #11923787C3direct (N × H)
6. C32×#997C22semidirect
9. C32×#585D3semidirect
12. C3×#5950D3semidirect
13. C3×#5950C2×C3semidirect
14. C3⋊#5935C2×C3semidirect
41. C3×#997C2×D3semidirect
42. C3×#997C22×C3semidirect
71. C3×#585C3×D3semidirect
72. C3×#585C3⋊D3semidirect
74. #5950C3×D3semidirect
101. C32×#41S4semidirect
179. #997C2×C3×D3semidirect
269. #585C3×C3⋊D3semidirect
307. C3×#41C3×S4semidirect
308. C3×#41C3⋊S4semidirect
581. #41C3×C3⋊S4semidirect
673. C32#87522semidirect
746. C3C3×#87522semidirect
747. C3#11923787direct (N × H)

Maximal subgroups

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

subgroupindex
C32×#59502
C3×C3⋊#59352
#119237873
C3×#875223
C3×#841223
C3×#642674
C3×C4⋊(C3⋊S4)4