Finite Group Databasebeta

← #13161950

Subgroups — #13161950

Order 1728.

992 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3830C211yesmaximal, characteristic, complemented
2C2×C3×#3753C211yesmaximal, characteristic, complemented
3#11723696C211yesmaximal, characteristic, complemented
4C2×#88811C211yesmaximal, characteristic, complemented
5C3×#63659C211yesmaximal, characteristic, complemented
6#11722076C211yesmaximal, characteristic, complemented
7#11722072C211yesmaximal, characteristic, complemented
8#10591457—31nomaximal
9#10591452—31nomaximal
10#10591450—31nomaximal
11C2×C33×D4C2211yescharacteristic
12C2×C3×#638—21no—
13C22×C3×C3⋊Dic3—21no—
14C3×#3830—22no—
15C3×#3830—22no—
16C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
17C2×C3×C4×C3⋊D3C2211yescharacteristic
18C2×C3×#634C2211yescharacteristic
19C2×#6295—21no—
20C3×#3753—22no—
21C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
22C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
23C2×C3×C3⋊(C3⋊C8)C2211yescharacteristic
24#88814—21no—
25#88811—22no—
26C2×#3830D311yescharacteristic, complemented
27C2×C3×#237—31no—
28C2×C3×#237—31no—
29C2×C3×#237—61no—
30C2×#3753D311yescharacteristic, complemented
31C2×C3×#213—31no—
32C2×C3×#213—31no—
33C2×C3×#213—61no—
34#63916—31no—
35#63909—31no—
36#63908—31no—
37C2×#3717—31no—
38C2×#3716—31no—
39C2×#3715—31no—
40#63659D311yescharacteristic, complemented
41C3×#832—31no—
42C3×#832—31no—
43C3×#832—61no—
44#63567—31no—
45#63566—31no—
46#63565—31no—
47#63557—31no—
48(C2×D3)⋊(C3⋊C8)—31no—
49(C2×D3)⋊(C3⋊C8)—31no—
50C23×C33—21no—
51C22×C3×C3⋊D3—21no—
52C22×C3×C3⋊D3D411yescharacteristic
53C33×D4—21no—
54C33×D4D412yescomplemented
55C2×C33×C4C2311yescharacteristic
56C3×#638—24no—
57C2×C3×C3⋊Dic3—24no—
58C2×C3×C3⋊Dic3—21no—
59C2×C3×C3⋊Dic3—21no—
60C2×C3×C3⋊Dic3D411yescharacteristic
61C3×C4⋊(C3⋊D3)—21no—
62C3×C4⋊(C3⋊D3)—21no—
63C3×C4×C3⋊D3—21no—
64C3×C4×C3⋊D3—21no—
65C3×#634—21no—
66C3×#634D412yescomplemented
67#6295—42no—
68C3×C3⋊(C3⋊C8)—21no—
69C3×C3⋊(C3⋊C8)—21no—
70#5238—91no—
71#5158—91no—
72#4781—91no—
73C2×C32×D4—21no—
74C2×C32×D4—21no—
75C2×C32×D4—21no—
76C2×C32×D4—41no—
77C2×C32×D4C2×D311yescharacteristic
78C2×C32×D4C2×D311yescharacteristic
79C2×C32×D4C2×D311yescharacteristic
80C2×#638—21no—
81C22×C3⋊Dic3—21no—
82#3830—22no—
83#3830—22no—
84C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
85C2×C4×C3⋊D3C2×D311yescharacteristic
86C2×#634C2×D311yescharacteristic
87C2×C3×#67—61no—
88C2×C3×#67—61no—
89C2×C3×#67—62no—
90C22×C3×Dic3—61no—
91C22×C3×Dic3—61no—
92C22×C3×Dic3—62no—
93C3×#237—62no—
94C3×#237—62no—
95C3×#237—64no—
96C3×#237—64no—
97C3×#237—62no—
98C3×#237—62no—
99C2×C3×D12—31no—
100C2×C3×D12—31no—
101C2×C3×D12—61no—
102C2×C3×C4×D3—31no—
103C2×C3×C4×D3—31no—
104C2×C3×C4×D3—61no—
105C2×C3×Dic6—31no—
106C2×C3×Dic6—31no—
107C2×C3×Dic6—61no—
108C2×#626—61no—
109C2×#626—61no—
110C2×#625—61no—
111#3753—22no—
112C4⋊(C3⋊Dic3)C2×D311yescharacteristic
113C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
114C2×C3⋊(C3⋊C8)C2×D311yescharacteristic
115C3×#213—64no—
116C3×#213—62no—
117C3×#213—62no—
118C3×C4⋊Dic3—31no—
119C3×C4⋊Dic3—31no—
120C3×C4⋊Dic3—61no—
121C2×C3×C3⋊C8—31no—
122C2×C3×C3⋊C8—31no—
123C2×C3×C3⋊C8—31no—
124C2×C3×C3⋊C8—31no—
125C2×C3×C3⋊C8—61no—
126C2×C3×C3⋊C8—61no—
127#3722—61no—
128(C2×D3)⋊Dic3—61no—
129(C2×D3)⋊Dic3—61no—
130#3717—62no—
131#3716—62no—
132#3715—62no—
133C22×C33—22no—
134C22×C33—41no—
135C22×C33—41no—
136C22×C33C2×D411yescharacteristic
137C2×C3×C3⋊D3—21no—
138C2×C3×C3⋊D3—21no—
139C2×C3×C3⋊D3—21no—
140C2×C3×C3⋊D3—41no—
141C2×C3×C3⋊D3—41no—
142C2×C3×C3⋊D3—41no—
143C33×C4C2×D411yescharacteristic
144C33×C4C2×D411yescharacteristic
145C3×C3⋊Dic3—22no—
146C3×C3⋊Dic3—21no—
147C3×C3⋊Dic3—41no—
148C2×C3×#41—91no—
149C2×#237—31no—
150C2×#237—31no—
151C2×#237—61no—
152C2×C3×D8—91no—
153C2×#215—91no—
154#938—91no—
155C2×#214—91no—
156C2×#213—31no—
157C2×#213—31no—
158C2×#213—61no—
159#930—91no—
160C2×#204—91no—
161#895—91no—
162C3×#102—91no—
163#835—91no—
164#832—31no—
165#832—31no—
166#832—61no—
167#830—91no—
168(C2×D3)⋊C8—91no—
169(C2×D3)⋊C8—91no—
170#816—91no—
171#810—91no—
172C23×C32—21no—
173C23×C32—22no—
174C23×C32—21no—
175C23×C32—21no—
176C23×C32—41no—
177C23×C32—41no—
178C23×C32—42no—
179C22×C3⋊D3—21no—
180C22×C3⋊D3#6711yescharacteristic
181C22×C3×D3—31no—
182C22×C3×D3—31no—
183C22×C3×D3—61no—
184C22×C3×D3—61no—
185C22×C3×D3—61no—
186C22×C3×D3—121no—
187C32×D4—21no—
188C32×D4—22no—
189C32×D4—21no—
190C32×D4—21no—
191C32×D4—22no—
192C32×D4—22no—
193C32×D4—22no—
194C32×D4—42no—
195C32×D4—41no—
196C32×D4—41no—
197C32×D4—42no—
198C32×D4D1212yescomplemented
199C32×D4#6712yescomplemented
200C32×D4#6712yescomplemented
201C2×C32×C4—21no—
202C2×C32×C4—21no—
203C2×C32×C4—21no—
204C2×C32×C4—41no—
205C2×C32×C4C22×D311yescharacteristic
206C2×C32×C4C22×D311yescharacteristic
207C2×C32×C4C22×D311yescharacteristic
208#638—24no—
209C2×C3⋊Dic3—24no—
210C2×C3⋊Dic3—21no—
211C2×C3⋊Dic3—21no—
212C2×C3⋊Dic3#6711yescharacteristic
213C4⋊(C3⋊D3)—21no—
214C4⋊(C3⋊D3)—21no—
215C4×C3⋊D3—21no—
216C4×C3⋊D3—21no—
217#634—21no—
218#634#6712yescomplemented
219C3×#67—68no—
220C3×#67—64no—
221C3×#67—64no—
222C2×C3×Dic3—31no—
223C2×C3×Dic3—31no—
224C2×C3×Dic3—61no—
225C2×C3×Dic3—62no—
226C2×C3×Dic3—68no—
227C2×C3×Dic3—64no—
228C2×C3×Dic3—64no—
229C2×C3×Dic3—61no—
230C2×C3×Dic3—61no—
231C2×C3×Dic3—61no—
232C2×C3×Dic3—61no—
233C2×C3×Dic3—121no—
234C3×D12—62no—
235C3×D12—61no—
236C3×D12—61no—
237C3×D12—61no—
238C3×D12—61no—
239C3×D12—121no—
240C3×C4×D3—62no—
241C3×C4×D3—62no—
242C3×C4×D3—61no—
243C3×C4×D3—61no—
244C3×C4×D3—61no—
245C3×C4×D3—61no—
246C3×Dic6—32no—
247C3×Dic6—32no—
248C3×Dic6—62no—
249C3×Dic6—62no—
250C3×Dic6—61no—
251C3×Dic6—61no—
252#626—122no—
253#626—122no—
254#625—122no—
255C3⋊(C3⋊C8)—21no—
256C3⋊(C3⋊C8)—21no—
257C3×C3⋊C8—62no—
258C3×C3⋊C8—61no—
259C3×C3⋊C8—61no—
260C3×C3⋊C8—61no—
261C3×C3⋊C8—61no—
262C3×C3⋊C8—121no—
263#449—271noSylow
264C2×C33—42no—
265C2×C33#12011yescharacteristic
266C2×C33#13511yescharacteristic
267C2×C33AGL(1,ℤ/8)11yescharacteristic
268C3×C3⋊D3—41no—
269C3×C3⋊D3—81no—
270C3×#41—182no—
271C3×#41—182no—
272C2×C3×Q8—91no—
273C2×C3×D4—21no—
274C2×C3×D4—21no—
275C2×C3×D4—21no—
276C2×C3×D4—41no—
277C2×C3×D4—91no—
278C2×C3×D4—181no—
279C2×C3×D4D3211yescharacteristic
280C2×C3×D4D3211yescharacteristic
281C2×C3×D4D3211yescharacteristic
282C22×C3×C4—91no—
283C22×C3×C4—181no—
284C2×#67—61no—
285C2×#67—61no—
286C2×#67—62no—
287C2×#67—181no—
288C2×#67—181no—
289C22×Dic3—61no—
290C22×Dic3—61no—
291C22×Dic3—62no—
292#237—62no—
293#237—62no—
294#237—64no—
295#237—64no—
296#237—62no—
297#237—62no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—61no—
301C2×D12—181no—
302C2×C4×D3—31no—
303C2×C4×D3—31no—
304C2×C4×D3—61no—
305C2×Dic6—31no—
306C2×Dic6—31no—
307C2×Dic6—61no—
308C3×D8—182no—
309C2×C3×C8—91no—
310C2×C3×C8—91no—
311C3×C4⋊C4—91no—
312#217—181no—
313#215—182no—
314#214—182no—
315#213—64no—
316#213—62no—
317#213—62no—
318(C2×D3)⋊C4—181no—
319(C2×D3)⋊C4—181no—
320C4⋊Dic3—31no—
321C4⋊Dic3—31no—
322C4⋊Dic3—61no—
323C2×C3⋊C8—31no—
324C2×C3⋊C8—31no—
325C2×C3⋊C8—31no—
326C2×C3⋊C8—31no—
327C2×C3⋊C8—61no—
328C2×C3⋊C8—61no—
329#204—182no—
330C22×C32—22no—
331C22×C32—24no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—21no—
335C22×C32—21no—
336C22×C32—21no—
337C22×C32—41no—
338C22×C32—42no—
339C22×C32—42no—
340C22×C32—44no—
341C22×C32—41no—
342C22×C32—41no—
343C22×C32—42no—
344C22×C32—42no—
345C22×C32—41no—
346C22×C32—41no—
347C22×C32—41no—
348C22×C32—41no—
349C22×C32—81no—
350C22×C32—81no—
351C22×C32—81no—
352C22×C32—81no—
353C22×C32—82no—
354C22×C32—82no—
355C22×C32D3×D411yescharacteristic
356C22×C32D3×D411yescharacteristic
357C22×C32C2×#6711yescharacteristic
358C2×C3⋊D3—21no—
359C2×C3⋊D3—21no—
360C2×C3⋊D3—21no—
361C2×C3⋊D3—41no—
362C2×C3⋊D3—41no—
363C2×C3⋊D3—41no—
364C2×C3×D3—62no—
365C2×C3×D3—61no—
366C2×C3×D3—61no—
367C2×C3×D3—61no—
368C2×C3×D3—61no—
369C2×C3×D3—61no—
370C2×C3×D3—61no—
371C2×C3×D3—121no—
372C2×C3×D3—121no—
373C2×C3×D3—122no—
374C2×C3×D3—121no—
375C2×C3×D3—121no—
376C2×C3×D3—121no—
377C2×C3×D3—121no—
378C2×C3×D3—121no—
379C2×C3×D3—121no—
380C2×C3×D3—241no—
381C2×C3×D3—241no—
382C32×C4—21no—
383C32×C4—21no—
384C32×C4—21no—
385C32×C4—21no—
386C32×C4—21no—
387C32×C4—21no—
388C32×C4—41no—
389C32×C4—41no—
390C32×C4C2×D1211yescharacteristic
391C32×C4D3×D411yescharacteristic
392C32×C4D3×D411yescharacteristic
393C32×C4C2×#6711yescharacteristic
394C32×C4C2×#6711yescharacteristic
395C32×C4C2×#6711yescharacteristic
396C3⋊Dic3—22no—
397C3⋊Dic3—21no—
398C3⋊Dic3—41no—
399C3×Dic3—64no—
400C3×Dic3—62no—
401C3×Dic3—62no—
402C3×Dic3—61no—
403C3×Dic3—62no—
404C3×Dic3—61no—
405C3×Dic3—121no—
406C3×Dic3—121no—
407C3×Dic3—241no—
408C2×#41—91no—
409C2×SD16—271no—
410C2×D8—91no—
411#121—271no—
412#103—271no—
413#102—91no—
414C22⋊C8—271no—
415C33#44911yescharacteristic, complemented, Sylow
416C23×C3—22no—
417C23×C3—21no—
418C23×C3—21no—
419C23×C3—21no—
420C23×C3—41no—
421C23×C3—41no—
422C23×C3—42no—
423C23×C3—91no—
424C23×C3—181no—
425C22×D3—31no—
426C22×D3—31no—
427C22×D3—61no—
428C22×D3—61no—
429C22×D3—61no—
430C22×D3—121no—
431C3×Q8—92no—
432C3×Q8—181no—
433C3×D4—22no—
434C3×D4—21no—
435C3×D4—21no—
436C3×D4—21no—
437C3×D4—22no—
438C3×D4—22no—
439C3×D4—22no—
440C3×D4—41no—
441C3×D4—41no—
442C3×D4—42no—
443C3×D4—42no—
444C3×D4—184no—
445C3×D4—181no—
446C3×D4—181no—
447C3×D4#62512yescomplemented
448C3×D4#62612yescomplemented
449C3×D4#62612yescomplemented
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—41no—
454C2×C3×C4—91no—
455C2×C3×C4—184no—
456C2×C3×C4—181no—
457C2×C3×C4—181no—
458C2×C3×C4—181no—
459C2×C3×C4—181no—
460C2×C3×C4C2×D3211yescharacteristic
461C2×C3×C4C2×D3211yescharacteristic
462C2×C3×C4C2×D3211yescharacteristic
463#67—68no—
464#67—64no—
465#67—64no—
466#67—362no—
467#67—362no—
468C2×Dic3—31no—
469C2×Dic3—31no—
470C2×Dic3—61no—
471C2×Dic3—62no—
472C2×Dic3—68no—
473C2×Dic3—64no—
474C2×Dic3—64no—
475C2×Dic3—61no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—121no—
480D12—62no—
481D12—61no—
482D12—61no—
483D12—61no—
484D12—61no—
485D12—121no—
486D12—362no—
487C4×D3—62no—
488C4×D3—62no—
489C4×D3—61no—
490C4×D3—61no—
491C4×D3—61no—
492C4×D3—61no—
493Dic6—32no—
494Dic6—32no—
495Dic6—62no—
496Dic6—62no—
497Dic6—61no—
498Dic6—61no—
499C3×C8—181no—
500C3×C8—181no—
501C3⋊C8—62no—
502C3⋊C8—61no—
503C3⋊C8—61no—
504C3⋊C8—61no—
505C3⋊C8—61no—
506C3⋊C8—121no—
507C2×C32—21no—
508C2×C32—21no—
509C2×C32—21no—
510C2×C32—21no—
511C2×C32—21no—
512C2×C32—21no—
513C2×C32—21no—
514C2×C32—21no—
515C2×C32—21no—
516C2×C32—41no—
517C2×C32—41no—
518C2×C32—41no—
519C2×C32—42no—
520C2×C32—44no—
521C2×C32—42no—
522C2×C32—42no—
523C2×C32—82no—
524C2×C32—82no—
525C2×C32—84no—
526C2×C32#88211yescharacteristic
527C2×C32#91111yescharacteristic
528C2×C32#91111yescharacteristic
529C2×C32#91211yescharacteristic
530C2×C32#91611yescharacteristic
531C2×C32#93711yescharacteristic
532C2×C32#94911yescharacteristic
533C2×C32#95011yescharacteristic
534C2×C32#95311yescharacteristic
535C3⋊D3—41no—
536C3⋊D3—81no—
537C3×D3—122no—
538C3×D3—121no—
539C3×D3—121no—
540C3×D3—242no—
541C3×D3—241no—
542C3×D3—241no—
543#41—182no—
544#41—182no—
545C2×Q8—91no—
546C2×D4—91no—
547C2×D4—181no—
548C2×D4—541no—
549C2×D4#111311yescharacteristic
550C22×C4—91no—
551C22×C4—181no—
552SD16—542no—
553D8—182no—
554C2×C8—91no—
555C2×C8—91no—
556C4⋊C4—91no—
557C22⋊C4—541no—
558C22×C3—24no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—44no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—81no—
578C22×C3—81no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—82no—
582C22×C3—82no—
583C22×C3—181no—
584C22×C3—181no—
585C22×C3—181no—
586C22×C3—361no—
587C22×C3—361no—
588C22×C3—361no—
589C22×C3D3×#6711yescharacteristic
590C22×C3D3×#6711yescharacteristic
591C22×C3#381111yescharacteristic
592C2×D3—62no—
593C2×D3—61no—
594C2×D3—61no—
595C2×D3—61no—
596C2×D3—61no—
597C2×D3—61no—
598C2×D3—61no—
599C2×D3—121no—
600C2×D3—121no—
601C2×D3—122no—
602C2×D3—121no—
603C2×D3—121no—
604C2×D3—121no—
605C2×D3—121no—
606C2×D3—121no—
607C2×D3—121no—
608C2×D3—241no—
609C2×D3—241no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—181no—
619C3×C4—182no—
620C3×C4—361no—
621C3×C4C2×#62511yescharacteristic
622C3×C4C2×#62611yescharacteristic
623C3×C4C2×#62611yescharacteristic
624C3×C4D3×#6711yescharacteristic
625C3×C4D3×#6711yescharacteristic
626C3×C4#381111yescharacteristic
627Dic3—64no—
628Dic3—62no—
629Dic3—62no—
630Dic3—61no—
631Dic3—62no—
632Dic3—61no—
633Dic3—121no—
634Dic3—121no—
635Dic3—241no—
636C32—21no—
637C32—21no—
638C32—21no—
639C32—41no—
640C32#478111yescharacteristic, complemented
641C32#515811yescharacteristic, complemented
642C32#523811yescharacteristic, complemented
643C23—21no—
644C23—91no—
645C23—181no—
646Q8—92no—
647Q8—181no—
648D4—21no—
649D4—184no—
650D4—181no—
651D4—181no—
652D4—1082no—
653D4#629512yescomplemented
654C2×C4—91no—
655C2×C4—184no—
656C2×C4—181no—
657C2×C4—181no—
658C2×C4—181no—
659C2×C4—181no—
660C2×C4C2×#111311yescharacteristic
661C8—181no—
662C8—181no—
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—21no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—44no—
673C2×C3—42no—
674C2×C3—42no—
675C2×C3—42no—
676C2×C3—41no—
677C2×C3—41no—
678C2×C3—41no—
679C2×C3—82no—
680C2×C3—82no—
681C2×C3—84no—
682C2×C3—361no—
683C2×C3—721no—
684C2×C3#6392511yescharacteristic
685C2×C3#6392511yescharacteristic
686C2×C3#6392711yescharacteristic
687C2×C3#6393311yescharacteristic
688C2×C3#6393511yescharacteristic
689C2×C3#6393611yescharacteristic
690C2×C3#6397611yescharacteristic
691C2×C3#6397711yescharacteristic
692C2×C3#6398111yescharacteristic
693D3—122no—
694D3—121no—
695D3—121no—
696D3—242no—
697D3—241no—
698D3—241no—
699C22—22no—
700C22—41no—
701C22—41no—
702C22—181no—
703C22—181no—
704C22—181no—
705C22—361no—
706C22—361no—
707C22—361no—
708C22#8904911yescharacteristic
709C4—181no—
710C4—182no—
711C4—361no—
712C4C2×#629511yescharacteristic
713C4#8904911yescharacteristic
714C3—21no—
715C3—21no—
716C3—21no—
717C3—41no—
718C3#1059145011yescharacteristic, complemented
719C3#1059145211yescharacteristic, complemented
720C3#1059145711yescharacteristic, complemented
721C2—42no—
722C2—361no—
723C2—721no—
724C2#1172370311yescharacteristic
725C2#1172370711yescharacteristic
726C2#1172372711yescharacteristic
subgroupG/H
centerC22#89049
commutator, cosocleC2×C33×C4C23
FrattiniC2×C4C2×#1113
FittingC2×C33×D4C22
socleC22×C33C2×D4
hypercenterC2×D4#1113
hypocenterC33#449
LCSG ▷ C2×C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3830C2semidirect
2. C2×C3×#3753C2semidirect
3. #11723696C2semidirect
4. C2×#88811C2semidirect
5. C3×#63659C2semidirect
6. #11722076C2semidirect
7. #11722072C2semidirect
26. C2×#3830D3semidirect
30. C2×#3753D3semidirect
40. #63659D3semidirect
54. C33×D4D4semidirect
66. C3×#634D4semidirect
198. C32×D4D12semidirect
199. C32×D4#67semidirect
200. C32×D4#67semidirect
218. #634#67semidirect
415. C33#449semidirect
447. C3×D4#625semidirect
448. C3×D4#626semidirect
449. C3×D4#626semidirect
640. C32#4781semidirect
641. C32#5158semidirect
642. C32#5238semidirect
653. D4#6295semidirect
718. C3#10591450semidirect
719. C3#10591452semidirect
720. C3#10591457semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#38302
C2×C3×#37532
#117236962
C2×#888112
C3×#636592
#117220762
#117220722
#105914573
#105914523
#105914503