Finite Group Databasebeta

← #13155837

Subgroups — #13155837

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×#89018C211yesmaximal, characteristic, complemented
2#11723696C211yesmaximal, characteristic, complemented
3C2×#88791C211yesmaximal, characteristic, complemented
4C2×C3×#3717C211yesmaximal, characteristic, complemented
5#11722036C211yesmaximal, characteristic, complemented
6C3×#63566C211yesmaximal, characteristic, complemented
7C3×#63557C211yesmaximal, characteristic, complemented
8#10591593—31nomaximal
9#10590967—31nomaximal
10#10590823—31nomaximal
11C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
12C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
13C2×C3×C4×C3⋊D3C2211yescharacteristic
14C2×C32×Dic6C2211yescharacteristic
15C2×#6295—21no—
16C2×#6292—21no—
17C2×#6289—21no—
18#89018—22no—
19#89018—22no—
20C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
21C2×C32×C3⋊C8C2211yescharacteristic
22C2×C32×C3⋊C8C2211yescharacteristic
23#88814—21no—
24#88791—22no—
25C3×#3717—22no—
26C2×#3832—31no—
27C2×#3799—31no—
28C2×#3799—31no—
29C2×#3799—61no—
30C2×#3745—31no—
31C2×C3×#215—31no—
32C2×C3×#204—31no—
33#63916—31no—
34#63909—31no—
35#63908—31no—
36C2×#3717D311yescharacteristic, complemented
37C2×#3714—31no—
38C2×#3714—31no—
39C2×#3714—61no—
40#63648—31no—
41C3×#835—31no—
42C3×(C2×D3)⋊C8—31no—
43C3×(C2×D3)⋊C8—31no—
44C3×#816—31no—
45#63566D311yescharacteristic, complemented
46#63564—31no—
47#63564—31no—
48#63564—61no—
49#63557D311yescharacteristic, complemented
50C22×C3⋊(C3⋊D3)—21no—
51C22×C3×C3⋊D3—21no—
52C22×C3×C3⋊D3D411yescharacteristic
53C2×C33×C4C2311yescharacteristic
54C4⋊(C3⋊(C3⋊D3))—21no—
55C4⋊(C3⋊(C3⋊D3))D412yescomplemented
56C2×C3×C3⋊Dic3—21no—
57C2×C3×C3⋊Dic3D411yescharacteristic
58C3×C4⋊(C3⋊D3)—21no—
59C3×C4⋊(C3⋊D3)—21no—
60C3×C4×C3⋊D3—21no—
61C3×C4×C3⋊D3—21no—
62C2×C32×Dic3—21no—
63C32×Dic6—21no—
64C32×Dic6D412yescomplemented
65#6295—42no—
66#6292—24no—
67#6289—24no—
68C32×C3⋊C8—21no—
69C32×C3⋊C8—21no—
70#5172—91no—
71#4810—91no—
72#4734—91no—
73C2×C32×Q8—31no—
74#3832—62no—
75#3832—62no—
76C2×C4⋊(C3⋊D3)—31no—
77C2×C4⋊(C3⋊D3)—31no—
78C2×C4⋊(C3⋊D3)—31no—
79C2×C4⋊(C3⋊D3)—61no—
80C2×C4⋊(C3⋊D3)—61no—
81C2×C4⋊(C3⋊D3)—61no—
82C2×C4⋊(C3⋊D3)—61no—
83C2×C4⋊(C3⋊D3)—121no—
84C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
85C2×C4×C3⋊D3—61no—
86C2×C4×C3⋊D3C2×D311yescharacteristic
87C2×C3×D12—31no—
88C2×C3×D12—31no—
89C2×C3×D12—61no—
90C2×C3×C4×D3—31no—
91C2×C3×C4×D3—31no—
92C2×C3×C4×D3—61no—
93C2×C3×Dic6—21no—
94C2×C3×Dic6C2×D311yescharacteristic
95C2×C3×Dic6C2×D311yescharacteristic
96C2×#626—61no—
97C2×#626—61no—
98C2×#626—62no—
99C2×#626—61no—
100C2×#626—61no—
101C2×#625—61no—
102C2×#624—61no—
103C2×#624—61no—
104C2×#624—62no—
105#3799—62no—
106#3799—62no—
107#3799—64no—
108#3799—64no—
109#3799—62no—
110#3799—62no—
111C2×C32×C8—31no—
112C2×C32×C8—31no—
113C4⋊(C3⋊Dic3)C2×D311yescharacteristic
114#3745—62no—
115C3×#215—62no—
116C3×C4⋊Dic3—31no—
117C3×C4⋊Dic3—31no—
118C3×C4⋊Dic3—61no—
119C2×C3×C3⋊C8—21no—
120C2×C3×C3⋊C8—21no—
121C2×C3×C3⋊C8C2×D311yescharacteristic
122C2×C3×C3⋊C8C2×D311yescharacteristic
123C2×C3×C3⋊C8C2×D311yescharacteristic
124C2×C3×C3⋊C8C2×D311yescharacteristic
125C3×#204—62no—
126#3722—61no—
127(C2×D3)⋊Dic3—61no—
128(C2×D3)⋊Dic3—61no—
129#3717—22no—
130#3714—62no—
131#3714—62no—
132#3714—64no—
133C22×C33C2×D411yescharacteristic
134C2×C3⋊(C3⋊D3)—22no—
135C2×C3⋊(C3⋊D3)—41no—
136C2×C3⋊(C3⋊D3)—41no—
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—21no—
146C3×C3⋊Dic3—41no—
147C32×Dic3—22no—
148C2×#239—91no—
149C2×#239—91no—
150C2×#239—181no—
151C2×#235—91no—
152C2×C3×SD16—91no—
153C2×#215—31no—
154#938—91no—
155C2×#213—91no—
156#930—91no—
157C2×D24—91no—
158C2×D24—91no—
159C2×D24—181no—
160C2×#204—31no—
161#895—91no—
162C3×#103—91no—
163C3×C22⋊C8—91no—
164#835—31no—
165#821—91no—
166#821—91no—
167#821—181no—
168(C2×D3)⋊C8—31no—
169(C2×D3)⋊C8—31no—
170#816—31no—
171#809—91no—
172C22×C3⋊D3—21no—
173C22×C3⋊D3—61no—
174C22×C3⋊D3—62no—
175C22×C3⋊D3—61no—
176C22×C3⋊D3—61no—
177C22×C3⋊D3—121no—
178C22×C3⋊D3—121no—
179C22×C3⋊D3—122no—
180C22×C3⋊D3D1211yescharacteristic
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×Q8—32no—
188C32×Q8—61no—
189C2×C32×C4—21no—
190C2×C32×C4—21no—
191C2×C32×C4—21no—
192C2×C32×C4—41no—
193C2×C32×C4—61no—
194C2×C32×C4C22×D311yescharacteristic
195C2×C32×C4C22×D311yescharacteristic
196C2×C32×C4C22×D311yescharacteristic
197C2×C3⋊Dic3—21no—
198C2×C3⋊Dic3D1211yescharacteristic
199C4⋊(C3⋊D3)—21no—
200C4⋊(C3⋊D3)—21no—
201C4⋊(C3⋊D3)—32no—
202C4⋊(C3⋊D3)—32no—
203C4⋊(C3⋊D3)—32no—
204C4⋊(C3⋊D3)—62no—
205C4⋊(C3⋊D3)—62no—
206C4⋊(C3⋊D3)—62no—
207C4⋊(C3⋊D3)—64no—
208C4⋊(C3⋊D3)—61no—
209C4⋊(C3⋊D3)—62no—
210C4⋊(C3⋊D3)—61no—
211C4⋊(C3⋊D3)—61no—
212C4⋊(C3⋊D3)—122no—
213C4⋊(C3⋊D3)—121no—
214C4⋊(C3⋊D3)—121no—
215C4⋊(C3⋊D3)—122no—
216C4×C3⋊D3—21no—
217C4×C3⋊D3—21no—
218C4×C3⋊D3—64no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3—31no—
223C2×C3×Dic3—31no—
224C2×C3×Dic3—61no—
225C2×C3×Dic3—61no—
226C2×C3×Dic3—61no—
227C2×C3×Dic3—121no—
228C3×D12—62no—
229C3×D12—61no—
230C3×D12—61no—
231C3×D12—61no—
232C3×D12—61no—
233C3×D12—121no—
234C3×C4×D3—62no—
235C3×C4×D3—62no—
236C3×C4×D3—61no—
237C3×C4×D3—61no—
238C3×C4×D3—61no—
239C3×C4×D3—61no—
240C3×Dic6—22no—
241C3×Dic6—21no—
242C3×Dic6—21no—
243C3×Dic6—22no—
244C3×Dic6D1212yescomplemented
245C3×Dic6#6712yescomplemented
246#626—68no—
247#626—64no—
248#626—64no—
249#626—122no—
250#626—122no—
251#625—122no—
252#624—68no—
253#624—64no—
254#624—64no—
255C32×C8—61no—
256C32×C8—61no—
257C3×C3⋊C8—22no—
258C3×C3⋊C8—21no—
259C3×C3⋊C8—21no—
260C3×C3⋊C8—21no—
261C3×C3⋊C8—21no—
262C3×C3⋊C8—41no—
263#449—271noSylow
264C2×C33#12011yescharacteristic
265C2×C33#13511yescharacteristic
266C2×C33AGL(1,ℤ/8)11yescharacteristic
267C3⋊(C3⋊D3)—42no—
268C3×C3⋊D3—41no—
269C3×C3⋊D3—81no—
270C2×C3×Q8—31no—
271C2×C3×Q8—31no—
272C2×C3×Q8—61no—
273C2×C3×D4—91no—
274C22×C3×C4—91no—
275C2×#67—181no—
276C2×#67—181no—
277C2×#67—181no—
278#239—182no—
279#239—182no—
280#239—182no—
281#239—182no—
282#239—184no—
283#239—184no—
284#235—182no—
285#235—182no—
286C2×D12—31no—
287C2×D12—31no—
288C2×D12—61no—
289C2×D12—91no—
290C2×D12—91no—
291C2×D12—91no—
292C2×D12—181no—
293C2×D12—181no—
294C2×D12—181no—
295C2×D12—181no—
296C2×D12—181no—
297C2×D12—182no—
298C2×D12—181no—
299C2×D12—361no—
300C2×C4×D3—31no—
301C2×C4×D3—31no—
302C2×C4×D3—61no—
303C2×C4×D3—181no—
304C2×C4×D3—181no—
305C2×C4×D3—181no—
306C2×C4×D3—182no—
307C2×Dic6D3211yescharacteristic
308C3×SD16—182no—
309C2×C3×C8—31no—
310C2×C3×C8—31no—
311C2×C3×C8—31no—
312C2×C3×C8—31no—
313C2×C3×C8—61no—
314C2×C3×C8—61no—
315C3×C4⋊C4—91no—
316#217—181no—
317#215—62no—
318#213—182no—
319(C2×D3)⋊C4—181no—
320(C2×D3)⋊C4—181no—
321C4⋊Dic3—31no—
322C4⋊Dic3—31no—
323C4⋊Dic3—61no—
324C2×C3⋊C8D3211yescharacteristic
325C2×C3⋊C8D3211yescharacteristic
326D24—182no—
327D24—182no—
328D24—184no—
329#204—62no—
330C22×C32—21no—
331C22×C32—21no—
332C22×C32—21no—
333C22×C32—41no—
334C22×C32C2×D1211yescharacteristic
335C22×C32D3×D411yescharacteristic
336C22×C32D3×D411yescharacteristic
337C2×C3⋊D3—21no—
338C2×C3⋊D3—21no—
339C2×C3⋊D3—21no—
340C2×C3⋊D3—41no—
341C2×C3⋊D3—41no—
342C2×C3⋊D3—41no—
343C2×C3⋊D3—62no—
344C2×C3⋊D3—64no—
345C2×C3⋊D3—62no—
346C2×C3⋊D3—62no—
347C2×C3⋊D3—122no—
348C2×C3⋊D3—122no—
349C2×C3⋊D3—124no—
350C2×C3⋊D3—121no—
351C2×C3⋊D3—121no—
352C2×C3⋊D3—122no—
353C2×C3⋊D3—122no—
354C2×C3⋊D3—121no—
355C2×C3⋊D3—121no—
356C2×C3⋊D3—121no—
357C2×C3⋊D3—121no—
358C2×C3⋊D3—241no—
359C2×C3⋊D3—241no—
360C2×C3⋊D3—241no—
361C2×C3⋊D3—241no—
362C2×C3⋊D3—242no—
363C2×C3⋊D3—242no—
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×C4—62no—
391C32×C4C2×D1211yescharacteristic
392C32×C4D3×D411yescharacteristic
393C32×C4D3×D411yescharacteristic
394C32×C4D3×D411yescharacteristic
395C32×C4D3×D411yescharacteristic
396C32×C4C2×#6711yescharacteristic
397C3⋊Dic3—21no—
398C3⋊Dic3—41no—
399C3×Dic3—24no—
400C3×Dic3—22no—
401C3×Dic3—22no—
402C3×Dic3—62no—
403C3×Dic3—61no—
404C3×Dic3—61no—
405C3×Dic3—121no—
406C3×Dic3—121no—
407C3×Dic3—241no—
408C2×#41—271no—
409C2×SD16—91no—
410C2×D8—271no—
411#121—271no—
412#103—91no—
413#102—271no—
414C22⋊C8—91no—
415C33#44911yescharacteristic, complemented, Sylow
416C23×C3—91no—
417C23×C3—181no—
418C22×D3—31no—
419C22×D3—31no—
420C22×D3—61no—
421C22×D3—61no—
422C22×D3—61no—
423C22×D3—121no—
424C22×D3—182no—
425C22×D3—181no—
426C22×D3—181no—
427C22×D3—181no—
428C22×D3—361no—
429C22×D3—361no—
430C22×D3—362no—
431C3×Q8—32no—
432C3×Q8—32no—
433C3×Q8—62no—
434C3×Q8—62no—
435C3×Q8—61no—
436C3×Q8—61no—
437C3×D4—181no—
438C3×D4—181no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—21no—
442C2×C3×C4—41no—
443C2×C3×C4—62no—
444C2×C3×C4—61no—
445C2×C3×C4—61no—
446C2×C3×C4—91no—
447C2×C3×C4—181no—
448C2×C3×C4—181no—
449C2×C3×C4—181no—
450C2×C3×C4C2×D3211yescharacteristic
451C2×C3×C4C2×D3211yescharacteristic
452C2×C3×C4C2×D3211yescharacteristic
453#67—184no—
454#67—362no—
455#67—362no—
456C2×Dic3—21no—
457C2×Dic3—31no—
458C2×Dic3—31no—
459C2×Dic3—61no—
460C2×Dic3—61no—
461C2×Dic3—61no—
462C2×Dic3—121no—
463D12—62no—
464D12—61no—
465D12—61no—
466D12—61no—
467D12—61no—
468D12—92no—
469D12—92no—
470D12—92no—
471D12—121no—
472D12—182no—
473D12—182no—
474D12—182no—
475D12—182no—
476D12—188no—
477D12—184no—
478D12—184no—
479D12—181no—
480D12—181no—
481D12—181no—
482D12—362no—
483D12—361no—
484D12—361no—
485D12—362no—
486D12—362no—
487C4×D3—62no—
488C4×D3—62no—
489C4×D3—61no—
490C4×D3—61no—
491C4×D3—61no—
492C4×D3—61no—
493C4×D3—184no—
494C4×D3—188no—
495C4×D3—184no—
496C4×D3—184no—
497Dic6—21no—
498Dic6#62612yescomplemented
499C3×C8—62no—
500C3×C8—61no—
501C3×C8—61no—
502C3×C8—61no—
503C3×C8—61no—
504C3×C8—121no—
505C3⋊C8—21no—
506C3⋊C8—21no—
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#88211yescharacteristic
520C2×C32#88211yescharacteristic
521C2×C32#90411yescharacteristic
522C2×C32#90811yescharacteristic
523C2×C32#91411yescharacteristic
524C2×C32#91411yescharacteristic
525C2×C32#91611yescharacteristic
526C2×C32#91911yescharacteristic
527C2×C32#93711yescharacteristic
528C3⋊D3—41no—
529C3⋊D3—81no—
530C3⋊D3—122no—
531C3⋊D3—124no—
532C3⋊D3—122no—
533C3⋊D3—122no—
534C3⋊D3—242no—
535C3⋊D3—242no—
536C3⋊D3—244no—
537C3×D3—122no—
538C3×D3—121no—
539C3×D3—121no—
540C3×D3—242no—
541C3×D3—241no—
542C3×D3—241no—
543#41—542no—
544#41—542no—
545C2×Q8—31no—
546C2×D4—91no—
547C2×D4—271no—
548C2×D4—541no—
549C2×D4—541no—
550C22×C4—91no—
551C22×C4—541no—
552SD16—182no—
553D8—542no—
554C2×C8—31no—
555C2×C8—31no—
556C4⋊C4—91no—
557C22⋊C4—541no—
558C22×C3—21no—
559C22×C3—21no—
560C22×C3—21no—
561C22×C3—41no—
562C22×C3—181no—
563C22×C3—181no—
564C22×C3—181no—
565C22×C3—361no—
566C22×C3—361no—
567C22×C3—361no—
568C22×C3D3×D1211yescharacteristic
569C22×C3D3×D1211yescharacteristic
570C22×C3#381111yescharacteristic
571C2×D3—62no—
572C2×D3—61no—
573C2×D3—61no—
574C2×D3—61no—
575C2×D3—61no—
576C2×D3—61no—
577C2×D3—61no—
578C2×D3—121no—
579C2×D3—121no—
580C2×D3—122no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—121no—
584C2×D3—121no—
585C2×D3—121no—
586C2×D3—121no—
587C2×D3—184no—
588C2×D3—182no—
589C2×D3—182no—
590C2×D3—182no—
591C2×D3—241no—
592C2×D3—241no—
593C2×D3—362no—
594C2×D3—362no—
595C2×D3—364no—
596C2×D3—362no—
597C2×D3—362no—
598C2×D3—361no—
599C2×D3—361no—
600C2×D3—361no—
601C2×D3—361no—
602C2×D3—361no—
603C2×D3—361no—
604C2×D3—721no—
605C2×D3—721no—
606C2×D3—721no—
607C2×D3—721no—
608C2×D3—722no—
609C2×D3—722no—
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—64no—
619C3×C4—62no—
620C3×C4—62no—
621C3×C4—181no—
622C3×C4—361no—
623C3×C4D3×D1211yescharacteristic
624C3×C4#380211yescharacteristic
625C3×C4C2×#62611yescharacteristic
626C3×C4D3×#6711yescharacteristic
627C3×C4#381111yescharacteristic
628C3×C4#381111yescharacteristic
629Dic3—22no—
630Dic3—62no—
631Dic3—61no—
632Dic3—61no—
633Dic3—121no—
634Dic3—121no—
635Dic3—241no—
636C32—21no—
637C32—21no—
638C32—21no—
639C32—41no—
640C32#473411yescharacteristic, complemented
641C32#481011yescharacteristic, complemented
642C32#517211yescharacteristic, complemented
643C23—91no—
644C23—181no—
645C23—541no—
646Q8—32no—
647Q8—61no—
648D4—181no—
649D4—181no—
650D4—272no—
651D4—544no—
652D4—541no—
653D4—1082no—
654C2×C4—61no—
655C2×C4—91no—
656C2×C4—181no—
657C2×C4—181no—
658C2×C4—181no—
659C2×C4—544no—
660C2×C4D3311yescharacteristic
661C8—61no—
662C8—61no—
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—41no—
673C2×C3—41no—
674C2×C3—41no—
675C2×C3—361no—
676C2×C3—721no—
677C2×C3#6379411yescharacteristic
678C2×C3#6379411yescharacteristic
679C2×C3#6380611yescharacteristic
680C2×C3#6380811yescharacteristic
681C2×C3#6392211yescharacteristic
682C2×C3#6392311yescharacteristic
683C2×C3#6394111yescharacteristic
684C2×C3#6395011yescharacteristic
685C2×C3#6398111yescharacteristic
686D3—122no—
687D3—121no—
688D3—121no—
689D3—242no—
690D3—241no—
691D3—241no—
692D3—364no—
693D3—362no—
694D3—362no—
695D3—362no—
696D3—722no—
697D3—722no—
698D3—724no—
699C22—181no—
700C22—181no—
701C22—181no—
702C22—361no—
703C22—361no—
704C22—361no—
705C22—542no—
706C22—1081no—
707C22—1081no—
708C22#8895511yescharacteristic
709C4—62no—
710C4—181no—
711C4—361no—
712C4D3×#62611yescharacteristic
713C4#8895411yescharacteristic
714C3—21no—
715C3—21no—
716C3—21no—
717C3—41no—
718C3#1059082311yescharacteristic, complemented
719C3#1059096711yescharacteristic, complemented
720C3#1059159311yescharacteristic, complemented
721C2—361no—
722C2—721no—
723C2—1082no—
724C2#1172286511yescharacteristic
725C2#1172288111yescharacteristic
726C2#1172295011yescharacteristic
subgroupG/H
centerC22#88955
commutator, Fitting, cosocleC2×C33×C4C23
Frattini, hypercenterC2×C4D33
socleC22×C33C2×D4
hypocenterC33#449
LCSG ▷ C2×C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
1. C2×#89018C2semidirect
2. #11723696C2semidirect
3. C2×#88791C2semidirect
4. C2×C3×#3717C2semidirect
5. #11722036C2semidirect
6. C3×#63566C2semidirect
7. C3×#63557C2semidirect
36. C2×#3717D3semidirect
45. #63566D3semidirect
49. #63557D3semidirect
55. C4⋊(C3⋊(C3⋊D3))D4semidirect
64. C32×Dic6D4semidirect
244. C3×Dic6D12semidirect
245. C3×Dic6#67semidirect
415. C33#449semidirect
498. Dic6#626semidirect
640. C32#4734semidirect
641. C32#4810semidirect
642. C32#5172semidirect
718. C3#10590823semidirect
719. C3#10590967semidirect
720. C3#10591593semidirect

Maximal subgroups

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

subgroupindex
C2×#890182
#117236962
C2×#887912
C2×C3×#37172
#117220362
C3×#635662
C3×#635572
#105915933
#105909673
#105908233