Finite Group Databasebeta

← C3×#24712 #10643319

Subgroups — C3×#24712 #10643319

Order 768.

802 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#474C211yesmaximal, characteristic, complemented
2C2×C3×#433C211yesmaximal, characteristic, complemented
3C3×#2628C211yesmaximal, characteristic, complemented
4C3×#2324C211yesmaximal, characteristic
5C3×#2076C211yesmaximal, characteristic, complemented
6C3×#2075C211yesmaximal, characteristic, complemented
7C3×#2034C211yesmaximal, characteristic
8C3×#2033C211yesmaximal, characteristic
9C3×#1987C211yesmaximal, characteristic, complemented
10C3×#1949C211yesmaximal, characteristic, complemented
11C3×#1944C211yesmaximal, characteristic, complemented
12C3×#1942C211yesmaximal, characteristic, complemented
13C3×#1936C211yesmaximal, characteristic, complemented
14C3×#1934C211yesmaximal, characteristic, complemented
15C3×#1804C211yesmaximal, characteristic, complemented
16#24712C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×C4⋊Q8C2211yescharacteristic
18C2×C3×#121C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×#117C2211yescharacteristic
21C3×#474—24no—
22C3×#433—24no—
23C2×C3×#107C2211yescharacteristic
24C2×C3×#107C2211yescharacteristic
25C2×C3×#107C2211yescharacteristic
26C2×C3×#106C2211yescharacteristic
27C2×C3×C4⋊C8C2211yescharacteristic
28C2×C3×C4⋊C8C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×C22⋊C8C2211yescharacteristic
34C2×C3×C22⋊C8C2211yescharacteristic
35C2×C3×#97C2211yescharacteristic
36C2×C3×C4×C8C2211yescharacteristic
37C3×#400—21no—
38C3×#399—21no—
39C3×#395—21no—
40C3×#393—21no—
41C3×#390—21no—
42C3×#390C2211yescharacteristic
43C3×#389C2211yescharacteristic
44C3×#389C2211yescharacteristic
45C3×#389C2211yescharacteristic
46C3×#388—21no—
47C3×#386—21no—
48C3×#385—21no—
49C3×#382C2211yescharacteristic
50C3×#380C2211yescharacteristic
51C3×#380C2211yescharacteristic
52C3×#380C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61C3×#340C2211yescharacteristic
62C2×#474C2×C311yescharacteristic, complemented
63C2×#433C2×C311yescharacteristic, complemented
64#2628C2×C311yescharacteristic, complemented
65#2324C2×C311yescharacteristic
66#2076C2×C311yescharacteristic, complemented
67#2075C2×C311yescharacteristic, complemented
68#2034C2×C311yescharacteristic
69#2033C2×C311yescharacteristic
70#1987C2×C311yescharacteristic, complemented
71#1949C2×C311yescharacteristic, complemented
72#1944C2×C311yescharacteristic, complemented
73#1942C2×C311yescharacteristic, complemented
74#1936C2×C311yescharacteristic, complemented
75#1934C2×C311yescharacteristic, complemented
76#1804C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C22×C3×C8C2311yescharacteristic
83C22×C3×C8C2311yescharacteristic
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C3×C4⋊Q8—22no—
87C3×C4⋊Q8—22no—
88C3×#121—22no—
89C3×#121—22no—
90C3×C4×D4—22no—
91C3×C4×D4—22no—
92C3×#117—22no—
93C3×#117—22no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4D411yescharacteristic
99C2×C3×C4⋊C4D411yescharacteristic
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×C4⋊C4C2311yescharacteristic
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×C22⋊C4—21no—
114C2×C3×C22⋊C4D411yescharacteristic
115C2×C3×C22⋊C4D411yescharacteristic
116C2×C3×C42—21no—
117C2×C3×C42C2311yescharacteristic
118C2×C3×C42C2311yescharacteristic
119C3×#107—22no—
120C3×#107—22no—
121C3×#107—22no—
122C3×#106—22no—
123C3×C4⋊C8—22no—
124C3×C4⋊C8D414yescomplemented
125C3×#102—22no—
126C3×#102—22no—
127C3×#102—22no—
128C3×#102—22no—
129C3×C22⋊C8—22no—
130C3×C22⋊C8—22no—
131C3×#97—22no—
132C3×C4×C8—22no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C2×C4⋊Q8C22×C311yescharacteristic
143C2×#121C22×C311yescharacteristic
144C2×C4×D4C22×C311yescharacteristic
145C2×#117C22×C311yescharacteristic
146#474—24no—
147#433—24no—
148C2×#107C22×C311yescharacteristic
149C2×#107C22×C311yescharacteristic
150C2×#107C22×C311yescharacteristic
151C2×#106C22×C311yescharacteristic
152C2×C4⋊C8C22×C311yescharacteristic
153C2×C4⋊C8C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×#102C22×C311yescharacteristic
157C2×#102C22×C311yescharacteristic
158C2×C22⋊C8C22×C311yescharacteristic
159C2×C22⋊C8C22×C311yescharacteristic
160C2×#97C22×C311yescharacteristic
161C2×C4×C8C22×C311yescharacteristic
162#400—21no—
163#399—21no—
164#395—21no—
165#393—21no—
166#390—21no—
167#390C22×C311yescharacteristic
168#389C22×C311yescharacteristic
169#389C22×C311yescharacteristic
170#389C22×C311yescharacteristic
171#388—21no—
172#386—21no—
173#385—21no—
174#382C22×C311yescharacteristic
175#380C22×C311yescharacteristic
176#380C22×C311yescharacteristic
177#380C22×C311yescharacteristic
178C4×C4⋊C4C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#340C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187C24×C3—21no—
188C24×C3C2×D411yescharacteristic
189C2×C3×Q8—42no—
190C2×C3×Q8—81no—
191C2×C3×Q8—81no—
192C2×C3×D4—24no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—81no—
199C2×C3×D4—81no—
200C2×C3×D4#4112yes—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
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—42no—
215C22×C3×C4—81no—
216C22×C3×C4—81no—
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2411yescharacteristic
223C2×C3×C8—21no—
224C2×C3×C8—21no—
225C2×C3×C8—21no—
226C2×C3×C8—21no—
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×C8C2×D412yes—
234C2×C3×C8C2×D412yes—
235C3×C4⋊C4—22no—
236C3×C4⋊C4—22no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
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—42no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4—81no—
253C3×C4⋊C4—81no—
254C3×C4⋊C4#4112yes—
255C3×C22⋊C4—24no—
256C3×C22⋊C4—22no—
257C3×C22⋊C4—22no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—81no—
260C3×C22⋊C4—81no—
261C3×C22⋊C4—81no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C42—21no—
265C3×C42—21no—
266C3×C42—81no—
267C3×C42C2×D412yes—
268C3×C42#4112yes—
269C22×Q8—21no—
270C22×D4—21no—
271C22×D4C23×C311yescharacteristic
272C23×C4—21no—
273C23×C4C23×C311yescharacteristic
274C22×C8C23×C311yescharacteristic
275C22×C8C23×C311yescharacteristic
276C22×C8C23×C311yescharacteristic
277C22×C8C23×C311yescharacteristic
278C4⋊Q8—22no—
279C4⋊Q8—22no—
280#121—22no—
281#121—22no—
282C4×D4—22no—
283C4×D4—22no—
284#117—22no—
285#117—22no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4C3×D411yescharacteristic
291C2×C4⋊C4C3×D411yescharacteristic
292C2×C4⋊C4C23×C311yescharacteristic
293C2×C4⋊C4C23×C311yescharacteristic
294C2×C4⋊C4C23×C311yescharacteristic
295C2×C4⋊C4C23×C311yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4C3×D411yescharacteristic
307C2×C22⋊C4C3×D411yescharacteristic
308C2×C42—21no—
309C2×C42C23×C311yescharacteristic
310C2×C42C23×C311yescharacteristic
311#107—22no—
312#107—22no—
313#107—22no—
314#106—22no—
315C4⋊C8—22no—
316C4⋊C8C3×D414yescomplemented
317#102—22no—
318#102—22no—
319#102—22no—
320#102—22no—
321C22⋊C8—22no—
322C22⋊C8—22no—
323#97—22no—
324C4×C8—22no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95—21no—
334C23×C3—21no—
335C23×C3—22no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3C22×D411yescharacteristic
349C3×Q8—84no—
350C3×D4—22no—
351C3×D4—22no—
352C3×D4—41no—
353C3×D4—41no—
354C3×D4—84no—
355C2×C3×C4—21no—
356C2×C3×C4—21no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—22no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—41no—
370C2×C3×C4—41no—
371C2×C3×C4—41no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
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—84no—
394C2×C3×C4#12112yes—
395C2×C3×C4#12112yes—
396C2×C3×C4C22×D411yescharacteristic
397C2×C3×C4C2×#4111yescharacteristic
398C2×C3×C4C2×#4111yescharacteristic
399C2×C3×C4C2×#4111yescharacteristic
400C2×C3×C42−1+411yescharacteristic
401C2×C3×C42−1+411yescharacteristic
402C3×C8—22no—
403C3×C8—22no—
404C3×C8—41no—
405C3×C8—41no—
406C24—21no—
407C24C2×C3×D411yescharacteristic
408C2×Q8—42no—
409C2×Q8—81no—
410C2×Q8—81no—
411C2×D4—24no—
412C2×D4—21no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—81no—
418C2×D4—81no—
419C2×D4C3×#4112yes—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—42no—
434C22×C4—81no—
435C22×C4—81no—
436C22×C4C2×C3×D411yescharacteristic
437C22×C4C2×C3×D411yescharacteristic
438C22×C4C2×C3×D411yescharacteristic
439C22×C4C2×C3×D411yescharacteristic
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C24×C311yescharacteristic
442C2×C8—21no—
443C2×C8—21no—
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—21no—
452C2×C8C2×C3×D412yes—
453C2×C8C2×C3×D412yes—
454C4⋊C4—22no—
455C4⋊C4—22no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
459C4⋊C4—21no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—21no—
463C4⋊C4—21no—
464C4⋊C4—21no—
465C4⋊C4—21no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—42no—
470C4⋊C4—81no—
471C4⋊C4—81no—
472C4⋊C4—81no—
473C4⋊C4C3×#4112yes—
474C22⋊C4—24no—
475C22⋊C4—22no—
476C22⋊C4—22no—
477C22⋊C4—42no—
478C22⋊C4—81no—
479C22⋊C4—81no—
480C22⋊C4—81no—
481C22⋊C4—81no—
482C22⋊C4—81no—
483C42—21no—
484C42—21no—
485C42—81no—
486C42C2×C3×D412yes—
487C42C3×#4112yes—
488C22×C3—41no—
489C22×C3—42no—
490C22×C3—41no—
491C22×C3—42no—
492C22×C3—41no—
493C22×C3—42no—
494C22×C3—41no—
495C22×C3—41no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—81no—
499C22×C3—81no—
500C22×C3—81no—
501C22×C3—81no—
502C22×C3C2×#12111yescharacteristic
503C22×C3#52511yescharacteristic
504C22×C3#53611yescharacteristic
505C22×C3#57611yescharacteristic
506C22×C3#57611yescharacteristic
507C22×C3#57711yescharacteristic
508C22×C3#57811yescharacteristic
509C3×C4—22no—
510C3×C4—22no—
511C3×C4—42no—
512C3×C4—41no—
513C3×C4—41no—
514C3×C4—41no—
515C3×C4—81no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4—81no—
519C3×C4—81no—
520C3×C4—81no—
521C3×C4#54711yescharacteristic
522C3×C4#54811yescharacteristic
523C3×C4#55211yescharacteristic
524C3×C4#55611yescharacteristic
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—22no—
531C23—21no—
532C23—21no—
533C23—41no—
534C23—41no—
535C23—41no—
536C23—41no—
537C23—41no—
538C23—41no—
539C23C22×C3×D411yescharacteristic
540Q8—84no—
541D4—22no—
542D4—22no—
543D4—41no—
544D4—41no—
545D4—84no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
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—84no—
585C2×C4C3×#12112yes—
586C2×C4C3×#12112yes—
587C2×C4C22×C3×D411yescharacteristic
588C2×C4C2×C3×#4111yescharacteristic
589C2×C4C2×C3×#4111yescharacteristic
590C2×C4C2×C3×#4111yescharacteristic
591C2×C4C3×2−1+411yescharacteristic
592C2×C4C3×2−1+411yescharacteristic
593C8—22no—
594C8—22no—
595C8—41no—
596C8—41no—
597C2×C3—81no—
598C2×C3—82no—
599C2×C3#241511yescharacteristic
600C2×C3#305811yescharacteristic
601C2×C3#306311yescharacteristic
602C2×C3#311811yescharacteristic
603C2×C3#312411yescharacteristic
604C2×C3#324111yescharacteristic
605C2×C3#324311yescharacteristic
606C22—41no—
607C22—42no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—42no—
614C22—41no—
615C22—42no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22C2×C3×#12111yescharacteristic
621C22C3×#52511yescharacteristic
622C22C3×#53611yescharacteristic
623C22C3×#57611yescharacteristic
624C22C3×#57611yescharacteristic
625C22C3×#57711yescharacteristic
626C22C3×#57811yescharacteristic
627C4—22no—
628C4—22no—
629C4—41no—
630C4—41no—
631C4—41no—
632C4—42no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4C3×#54711yescharacteristic
640C4C3×#54811yescharacteristic
641C4C3×#55211yescharacteristic
642C4C3×#55611yescharacteristic
643C3#2471211yescharacteristic, direct product factor, Sylow
644C2—81no—
645C2—82no—
646C2C3×#241511yescharacteristic
647C2C3×#305811yescharacteristic
648C2C3×#306311yescharacteristic
649C2C3×#311811yescharacteristic
650C2C3×#312411yescharacteristic
651C2C3×#324111yescharacteristic
652C2C3×#324311yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#474C2semidirect
2. C2×C3×#433C2semidirect
3. C3×#2628C2semidirect
5. C3×#2076C2semidirect
6. C3×#2075C2semidirect
9. C3×#1987C2semidirect
10. C3×#1949C2semidirect
11. C3×#1944C2semidirect
12. C3×#1942C2semidirect
13. C3×#1936C2semidirect
14. C3×#1934C2semidirect
15. C3×#1804C2semidirect
16. #24712C3direct (N × H)
62. C2×#474C2×C3semidirect
63. C2×#433C2×C3semidirect
64. #2628C2×C3semidirect
66. #2076C2×C3semidirect
67. #2075C2×C3semidirect
70. #1987C2×C3semidirect
71. #1949C2×C3semidirect
72. #1944C2×C3semidirect
73. #1942C2×C3semidirect
74. #1936C2×C3semidirect
75. #1934C2×C3semidirect
76. #1804C2×C3semidirect
124. C3×C4⋊C8D4semidirect
316. C4⋊C8C3×D4semidirect
643. C3#24712direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4742
C2×C3×#4332
C3×#26282
C3×#23242
C3×#20762
C3×#20752
C3×#20342
C3×#20332
C3×#19872
C3×#19492
C3×#19442
C3×#19422
C3×#19362
C3×#19342
C3×#18042
#247123