Finite Group Databasebeta

← C3×#24706 #10643313

Subgroups — C3×#24706 #10643313

Order 768.

868 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#478C211yesmaximal, characteristic, complemented
2C2×C3×#432C211yesmaximal, characteristic, complemented
3C3×#2851C211yesmaximal, characteristic, complemented
4C3×C4×#121C211yesmaximal, characteristic
5C3×#2077C211yesmaximal, characteristic, complemented
6C3×#2075C211yesmaximal, characteristic, complemented
7C3×#2034C211yesmaximal, characteristic
8C3×#2033C211yesmaximal, characteristic
9C3×#1989C211yesmaximal, characteristic, complemented
10C3×#1949C211yesmaximal, characteristic, complemented
11C3×#1944C211yesmaximal, characteristic, complemented
12C3×#1943C211yesmaximal, characteristic, complemented
13C3×#1936C211yesmaximal, characteristic, complemented
14C3×#1936C211yesmaximal, characteristic, complemented
15C3×#1804C211yesmaximal, characteristic, complemented
16#24706C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×#125C2211yescharacteristic
18C2×C3×#121C2211yescharacteristic
19C2×C3×C4×D4—21no—
20C2×C3×C4×D4C2211yescharacteristic
21C22×C3×C42C2211yescharacteristic
22C3×#478—24no—
23C3×#432—24no—
24C2×C3×#107C2211yescharacteristic
25C2×C3×#107C2211yescharacteristic
26C2×C3×#106C2211yescharacteristic
27C2×C3×#106C2211yescharacteristic
28C2×C3×C4⋊C8C2211yescharacteristic
29C2×C3×C4⋊C8C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×C22⋊C8C2211yescharacteristic
35C2×C3×C22⋊C8C2211yescharacteristic
36C2×C3×#97C2211yescharacteristic
37C2×C3×#97C2211yescharacteristic
38C3×#390C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#389C2211yescharacteristic
41C3×#389C2211yescharacteristic
42C3×#388—21no—
43C3×#387—21no—
44C3×#387—21no—
45C3×#386—21no—
46C3×#385—21no—
47C3×#385—21no—
48C3×#382C2211yescharacteristic
49C3×#380C2211yescharacteristic
50C3×#380C2211yescharacteristic
51C3×#380C2211yescharacteristic
52C3×C4×C4⋊C4C2211yescharacteristic
53C3×C4×C22⋊C4—21no—
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61C3×#340C2211yescharacteristic
62C2×#478C2×C311yescharacteristic, complemented
63C2×#432C2×C311yescharacteristic, complemented
64#2851C2×C311yescharacteristic, complemented
65C4×#121C2×C311yescharacteristic
66#2077C2×C311yescharacteristic, complemented
67#2075C2×C311yescharacteristic, complemented
68#2034C2×C311yescharacteristic
69#2033C2×C311yescharacteristic
70#1989C2×C311yescharacteristic, complemented
71#1949C2×C311yescharacteristic, complemented
72#1944C2×C311yescharacteristic, complemented
73#1943C2×C311yescharacteristic, complemented
74#1936C2×C311yescharacteristic, complemented
75#1936C2×C311yescharacteristic, complemented
76#1804C2×C311yescharacteristic, complemented
77C22×C3×D4—21no—
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4D411yescharacteristic
81C23×C3×C4D411yescharacteristic
82C23×C3×C4C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C3×#125—22no—
88C3×#125—22no—
89C3×#121—22no—
90C3×#121—22no—
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C3×C4×D4—44no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C42—22no—
114C2×C3×C42—22no—
115C2×C3×C42—21no—
116C2×C3×C42D411yescharacteristic
117C2×C3×C42D411yescharacteristic
118C2×C3×C42C2311yescharacteristic
119C2×C3×C42C2311yescharacteristic
120C3×#107—22no—
121C3×#107—22no—
122C3×#106—22no—
123C3×#106—22no—
124C3×C4⋊C8—22no—
125C3×C4⋊C8D414yescomplemented
126C3×#102—22no—
127C3×#102—22no—
128C3×#102—22no—
129C3×#102—22no—
130C3×C22⋊C8—22no—
131C3×C22⋊C8—22no—
132C3×#97—22no—
133C3×#97—22no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C2×#125C22×C311yescharacteristic
144C2×#121C22×C311yescharacteristic
145C2×C4×D4—21no—
146C2×C4×D4C22×C311yescharacteristic
147C22×C42C22×C311yescharacteristic
148#478—24no—
149#432—24no—
150C2×#107C22×C311yescharacteristic
151C2×#107C22×C311yescharacteristic
152C2×#106C22×C311yescharacteristic
153C2×#106C22×C311yescharacteristic
154C2×C4⋊C8C22×C311yescharacteristic
155C2×C4⋊C8C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×#102C22×C311yescharacteristic
159C2×#102C22×C311yescharacteristic
160C2×C22⋊C8C22×C311yescharacteristic
161C2×C22⋊C8C22×C311yescharacteristic
162C2×#97C22×C311yescharacteristic
163C2×#97C22×C311yescharacteristic
164#390C22×C311yescharacteristic
165#389C22×C311yescharacteristic
166#389C22×C311yescharacteristic
167#389C22×C311yescharacteristic
168#388—21no—
169#387—21no—
170#387—21no—
171#386—21no—
172#385—21no—
173#385—21no—
174#382C22×C311yescharacteristic
175#380C22×C311yescharacteristic
176#380C22×C311yescharacteristic
177#380C22×C311yescharacteristic
178C4×C4⋊C4C22×C311yescharacteristic
179C4×C22⋊C4—21no—
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#340C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188C24×C3—21no—
189C24×C3C2×D411yescharacteristic
190C2×C3×D4—24no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—42no—
197C2×C3×D4—42no—
198C2×C3×D4#4112yes—
199C22×C3×C4—22no—
200C22×C3×C4—21no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—41no—
216C22×C3×C4—41no—
217C22×C3×C4—41no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C2×C3×C8—21no—
237C2×C3×C8C2×D412yes—
238C2×C3×C8C2×D412yes—
239C3×C4⋊C4—21no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—42no—
253C3×C4⋊C4—42no—
254C3×C4⋊C4—42no—
255C3×C4⋊C4—42no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4#4112yes—
258C3×C22⋊C4—24no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4—42no—
264C3×C22⋊C4—42no—
265C3×C42—22no—
266C3×C42—22no—
267C3×C42—21no—
268C3×C42—21no—
269C3×C42—42no—
270C3×C42C2×D412yes—
271C3×C42#4112yes—
272C22×D4—21no—
273C22×D4C23×C311yescharacteristic
274C23×C4—21no—
275C23×C4C3×D411yescharacteristic
276C23×C4C3×D411yescharacteristic
277C23×C4C23×C311yescharacteristic
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282#125—22no—
283#125—22no—
284#121—22no—
285#121—22no—
286C4×D4—22no—
287C4×D4—22no—
288C4×D4—44no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4C23×C311yescharacteristic
295C2×C4⋊C4C23×C311yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C42—22no—
309C2×C42—22no—
310C2×C42—21no—
311C2×C42C3×D411yescharacteristic
312C2×C42C3×D411yescharacteristic
313C2×C42C23×C311yescharacteristic
314C2×C42C23×C311yescharacteristic
315#107—22no—
316#107—22no—
317#106—22no—
318#106—22no—
319C4⋊C8—22no—
320C4⋊C8C3×D414yescomplemented
321#102—22no—
322#102—22no—
323#102—22no—
324#102—22no—
325C22⋊C8—22no—
326C22⋊C8—22no—
327#97—22no—
328#97—22no—
329#95—21no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334#95—21no—
335#95—21no—
336#95—21no—
337#95—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—22no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3AGL(1,ℤ/8)12yes—
352C23×C3C22×D411yescharacteristic
353C3×D4—22no—
354C3×D4—22no—
355C3×D4—48no—
356C3×D4—41no—
357C3×D4—41no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—22no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—44no—
373C2×C3×C4—44no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
377C2×C3×C4—41no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—84no—
399C2×C3×C4#12112yes—
400C2×C3×C4#12112yes—
401C2×C3×C4C22×D411yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C42−1+411yescharacteristic
406C2×C3×C42−1+411yescharacteristic
407C3×C8—22no—
408C3×C8—22no—
409C3×C8—41no—
410C3×C8—41no—
411C24—21no—
412C24C2×C3×D411yescharacteristic
413C2×D4—24no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—42no—
420C2×D4—42no—
421C2×D4C3×#4112yes—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4C2×C3×D411yescharacteristic
445C22×C4C2×C3×D411yescharacteristic
446C22×C4C2×C3×D411yescharacteristic
447C22×C4C2×C3×D411yescharacteristic
448C22×C4C2×C3×D411yescharacteristic
449C22×C4C24×C311yescharacteristic
450C2×C8—21no—
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—21no—
459C2×C8—21no—
460C2×C8C2×C3×D412yes—
461C2×C8C2×C3×D412yes—
462C4⋊C4—21no—
463C4⋊C4—21no—
464C4⋊C4—21no—
465C4⋊C4—21no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—21no—
473C4⋊C4—21no—
474C4⋊C4—21no—
475C4⋊C4—42no—
476C4⋊C4—42no—
477C4⋊C4—42no—
478C4⋊C4—42no—
479C4⋊C4—42no—
480C4⋊C4C3×#4112yes—
481C22⋊C4—24no—
482C22⋊C4—42no—
483C22⋊C4—42no—
484C22⋊C4—42no—
485C22⋊C4—42no—
486C22⋊C4—42no—
487C22⋊C4—42no—
488C42—22no—
489C42—22no—
490C42—21no—
491C42—21no—
492C42—42no—
493C42C2×C3×D412yes—
494C42C3×#4112yes—
495C22×C3—22no—
496C22×C3—22no—
497C22×C3—22no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—41no—
501C22×C3—41no—
502C22×C3—42no—
503C22×C3—42no—
504C22×C3—42no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—81no—
509C22×C3C2×#12111yescharacteristic
510C22×C3#52511yescharacteristic
511C22×C3#53611yescharacteristic
512C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
513C22×C3#57511yescharacteristic
514C22×C3#57511yescharacteristic
515C22×C3#57511yescharacteristic
516C3×C4—22no—
517C3×C4—22no—
518C3×C4—42no—
519C3×C4—41no—
520C3×C4—41no—
521C3×C4—41no—
522C3×C4—81no—
523C3×C4—81no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4—81no—
528C3×C4#54711yescharacteristic
529C3×C4#54811yescharacteristic
530C3×C4#55211yescharacteristic
531C3×C4#55611yescharacteristic
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—22no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23C3×AGL(1,ℤ/8)12yes—
546C23C22×C3×D411yescharacteristic
547D4—22no—
548D4—22no—
549D4—48no—
550D4—41no—
551D4—41no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—44no—
567C2×C4—44no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—84no—
593C2×C4C3×#12112yes—
594C2×C4C3×#12112yes—
595C2×C4C22×C3×D411yescharacteristic
596C2×C4C2×C3×#4111yescharacteristic
597C2×C4C2×C3×#4111yescharacteristic
598C2×C4C2×C3×#4111yescharacteristic
599C2×C4C3×2−1+411yescharacteristic
600C2×C4C3×2−1+411yescharacteristic
601C8—22no—
602C8—22no—
603C8—41no—
604C8—41no—
605C2×C3—42no—
606C2×C3—82no—
607C2×C3#241511yescharacteristic
608C2×C3#305411yescharacteristic
609C2×C3#305511yescharacteristic
610C2×C3#311111yescharacteristic
611C2×C3#311411yescharacteristic
612C2×C3#323411yescharacteristic
613C2×C3#324011yescharacteristic
614C22—22no—
615C22—22no—
616C22—22no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22C2×C3×#12111yescharacteristic
629C22C3×#52511yescharacteristic
630C22C3×#53611yescharacteristic
631C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
632C22C3×#57511yescharacteristic
633C22C3×#57511yescharacteristic
634C22C3×#57511yescharacteristic
635C4—22no—
636C4—22no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—42no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4C3×#54711yescharacteristic
648C4C3×#54811yescharacteristic
649C4C3×#55211yescharacteristic
650C4C3×#55611yescharacteristic
651C3#2470611yescharacteristic, direct product factor, Sylow
652C2—42no—
653C2—82no—
654C2C3×#241511yescharacteristic
655C2C3×#305411yescharacteristic
656C2C3×#305511yescharacteristic
657C2C3×#311111yescharacteristic
658C2C3×#311411yescharacteristic
659C2C3×#323411yescharacteristic
660C2C3×#324011yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C22×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#478C2semidirect
2. C2×C3×#432C2semidirect
3. C3×#2851C2semidirect
5. C3×#2077C2semidirect
6. C3×#2075C2semidirect
9. C3×#1989C2semidirect
10. C3×#1949C2semidirect
11. C3×#1944C2semidirect
12. C3×#1943C2semidirect
13. C3×#1936C2semidirect
14. C3×#1936C2semidirect
15. C3×#1804C2semidirect
16. #24706C3direct (N × H)
62. C2×#478C2×C3semidirect
63. C2×#432C2×C3semidirect
64. #2851C2×C3semidirect
66. #2077C2×C3semidirect
67. #2075C2×C3semidirect
70. #1989C2×C3semidirect
71. #1949C2×C3semidirect
72. #1944C2×C3semidirect
73. #1943C2×C3semidirect
74. #1936C2×C3semidirect
75. #1936C2×C3semidirect
76. #1804C2×C3semidirect
125. C3×C4⋊C8D4semidirect
320. C4⋊C8C3×D4semidirect
651. C3#24706direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4782
C2×C3×#4322
C3×#28512
C3×C4×#1212
C3×#20772
C3×#20752
C3×#20342
C3×#20332
C3×#19892
C3×#19492
C3×#19442
C3×#19432
C3×#19362
C3×#18042
#247063