Finite Group Databasebeta

← C3×#10595080 #13174677

Subgroups — C3×#10595080 #13174677

Order 1728.

1830 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C3×#3811C211yesmaximal, characteristic, complemented
3C32×#929C212yesmaximal, complemented
4C3×#63981C212yesmaximal, complemented
5C3×#63974C211yesmaximal, characteristic, complemented
6C3×#63923C212yesmaximal, complemented
7C3×#63910C214yesmaximal, complemented
8C3×#63897C212yesmaximal, complemented
9C3×#5653—32nomaximal
10#10595080C311yesmaximal, characteristic, direct product factor
11C23×C3×C3⋊D3C2211yescharacteristic
12C23×C3×C3⋊D3C2211yescharacteristic, complemented
13C22×C3×D32C2211yescharacteristic, complemented
14C22×C33×C4C2211yescharacteristic, complemented
15C2×C3×C4⋊(C3⋊D3)—24no—
16C2×C3×C4⋊(C3⋊D3)C2212yes—
17C2×C3×C4⋊(C3⋊D3)C2212yescomplemented
18C2×C32×#67C2212yes—
19C3×#3811—24no—
20C2×C3×#626C2212yescomplemented
21C2×C3×#626C2214yescomplemented
22C2×C3×#624C2211yescharacteristic, complemented
23C2×C3×#624C2212yescomplemented
24C32×#217C2212yescomplemented
25C32×(C2×D3)⋊C4C2214yescomplemented
26C32×Dic3⋊C4C2214yescomplemented
27C3×#3722C2212yescomplemented
28C3×#3722C2214yescomplemented
29C22×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
30C2×C3×D3×D4—32no—
31C22×C3×D12—32no—
32C22×C3×D12—61no—
33C2×#3811C2×C311yescharacteristic, complemented
34C32×#123—32no—
35C3×#937—32no—
36C3×#929—22no—
37C3×#929D312yescomplemented
38C3×#929C2×C312yescomplemented
39C3×#895—34no—
40C3×#894—34no—
41C3×#884—34no—
42C3×#882—32no—
43C3×#882—34no—
44C3×D3×C22⋊C4—32no—
45#63981C2×C312yescomplemented
46#63974C2×C311yescharacteristic, complemented
47#63923C2×C312yescomplemented
48#63910C2×C314yescomplemented
49#63897C2×C312yescomplemented
50C23×C33C2311yescharacteristic
51C22×C3×C3⋊D3—22no—
52C22×C3×C3⋊D3—42no—
53C22×C3×C3⋊D3—42no—
54C22×C3×C3⋊D3D414yescomplemented
55C22×C3×C3⋊D3C2312yes—
56C22×C3×C3⋊D3C2311yescharacteristic
57C22×C3×C3⋊D3C2311yescharacteristic
58C22×C32×D3C2312yes—
59C2×C3×D32—22no—
60C2×C3×D32—42no—
61C2×C33×C4—22no—
62C2×C33×C4C2312yes—
63C3×C4⋊(C3⋊D3)—24no—
64C3×C4⋊(C3⋊D3)—24no—
65C32×#67—24no—
66C2×C32×Dic3C2314yes—
67C2×C32×Dic3C2312yes—
68C3×#626—24no—
69C3×#626—44no—
70C3×#624—22no—
71C3×#624—42no—
72C3×#534—91no—
73#5653—32no—
74C23×C3⋊D3C22×C311yescharacteristic
75C23×C3⋊D3C22×C311yescharacteristic, complemented
76C23×C3×D3—32no—
77C23×C3×D3—32no—
78C23×C3×D3—32no—
79C23×C3×D3—61no—
80C23×C3×D3—61no—
81C22×D32C22×C311yescharacteristic, complemented
82C2×C32×D4—32no—
83C22×C32×C4—21no—
84C22×C32×C4—22no—
85C22×C32×C4—41no—
86C22×C32×C4C2×D312yescomplemented
87C22×C32×C4C22×C311yescharacteristic, complemented
88C2×C4⋊(C3⋊D3)—24no—
89C2×C4⋊(C3⋊D3)C22×C312yes—
90C2×C4⋊(C3⋊D3)C22×C312yescomplemented
91C2×C3×#67—22no—
92C2×C3×#67—32no—
93C2×C3×#67—34no—
94C2×C3×#67C2×D312yes—
95C2×C3×#67C22×C312yes—
96C3×D3×D4—68no—
97C2×C3×D12—32no—
98C2×C3×D12—34no—
99C2×C3×D12—34no—
100C2×C3×D12—34no—
101C2×C3×D12—68no—
102C2×C3×D12—62no—
103C2×C3×D12—62no—
104C2×C3×D12—68no—
105C2×C3×C4×D3—32no—
106C2×C3×C4×D3—34no—
107#3811—24no—
108C2×#626C22×C312yescomplemented
109C2×#626C22×C314yescomplemented
110C2×#624C22×C311yescharacteristic, complemented
111C2×#624C22×C312yescomplemented
112C32×C4⋊C4—34no—
113C32×C22⋊C4—32no—
114C32×C22⋊C4—34no—
115C3×#217—22no—
116C3×#217C2×D312yescomplemented
117C3×#217C22×C312yescomplemented
118C3×(C2×D3)⋊C4—24no—
119C3×(C2×D3)⋊C4—34no—
120C3×(C2×D3)⋊C4—34no—
121C3×(C2×D3)⋊C4—34no—
122C3×(C2×D3)⋊C4C2×D314yescomplemented
123C3×(C2×D3)⋊C4C22×C314yescomplemented
124C3×Dic3⋊C4—24no—
125C3×Dic3⋊C4C2×D314yescomplemented
126C3×Dic3⋊C4C22×C314yescomplemented
127#3722C22×C314yescomplemented
128#3722C22×C312yescomplemented
129C22×C33—22no—
130C22×C33C2×D412yes—
131C22×C33C2411yescharacteristic
132C2×C3×C3⋊D3—22no—
133C2×C3×C3⋊D3—22no—
134C2×C3×C3⋊D3—22no—
135C2×C3×C3⋊D3—24no—
136C2×C3×C3⋊D3—44no—
137C2×C3×C3⋊D3—44no—
138C2×C3×C3⋊D3C2×D412yes—
139C2×C3×C3⋊D3C2×D412yes—
140C2×C32×D3—22no—
141C2×C32×D3—24no—
142C3×D32—44no—
143C33×C4—22no—
144C32×Dic3—22no—
145C32×Dic3—24no—
146C22×C3×D4—91no—
147C22×C3×D4—91no—
148C2×D3×D4—32no—
149C22×D12—32no—
150C22×D12—61no—
151C3×#123—32no—
152C3×#123—32no—
153C3×#123—62no—
154C3×#123—92no—
155C3×#121—94no—
156C3×#120—92no—
157C3×#120—92no—
158C2×C3×C22⋊C4—91no—
159#937—32no—
160#929C3×D312yescomplemented
161#895—34no—
162#894—34no—
163#884—34no—
164#882—32no—
165#882—34no—
166D3×C22⋊C4—32no—
167C23×C32—21no—
168C23×C32—22no—
169C23×C32—32no—
170C23×C32—41no—
171C23×C32C22×D312yes—
172C23×C32C23×C311yescharacteristic
173C22×C3⋊D3—22no—
174C22×C3⋊D3—42no—
175C22×C3⋊D3—42no—
176C22×C3⋊D3C3×D414yescomplemented
177C22×C3⋊D3C23×C312yes—
178C22×C3⋊D3C23×C311yescharacteristic
179C22×C3⋊D3C23×C311yescharacteristic
180C22×C3×D3—22no—
181C22×C3×D3—32no—
182C22×C3×D3—32no—
183C22×C3×D3—38no—
184C22×C3×D3—34no—
185C22×C3×D3—64no—
186C22×C3×D3—61no—
187C22×C3×D3—61no—
188C22×C3×D3—62no—
189C22×C3×D3—64no—
190C22×C3×D3—64no—
191C22×C3×D3—64no—
192C22×C3×D3—124no—
193C22×C3×D3—124no—
194C22×C3×D3—124no—
195C22×C3×D3—124no—
196C22×C3×D3—124no—
197C22×C3×D3C22×D312yes—
198C22×C3×D3C23×C312yes—
199C2×D32—22no—
200C2×D32—42no—
201C32×D4—64no—
202C2×C32×C4—22no—
203C2×C32×C4—24no—
204C2×C32×C4—24no—
205C2×C32×C4—22no—
206C2×C32×C4—24no—
207C2×C32×C4—34no—
208C2×C32×C4—32no—
209C2×C32×C4—42no—
210C2×C32×C4—44no—
211C2×C32×C4—44no—
212C2×C32×C4C22×D314yes—
213C2×C32×C4C23×C312yes—
214C4⋊(C3⋊D3)—24no—
215C4⋊(C3⋊D3)—24no—
216C3×#67—24no—
217C3×#67—24no—
218C3×#67—44no—
219C3×#67—64no—
220C3×#67—124no—
221C2×C3×Dic3—22no—
222C2×C3×Dic3—24no—
223C2×C3×Dic3C22×D312yes—
224C2×C3×Dic3C22×D314yes—
225C2×C3×Dic3C23×C312yes—
226C2×C3×Dic3C23×C314yes—
227C3×D12—68no—
228C3×D12—68no—
229C3×D12—68no—
230C3×D12—68no—
231C3×D12—64no—
232C3×D12—124no—
233C3×C4×D3—64no—
234C3×C4×D3—124no—
235#626—24no—
236#626—44no—
237#624—22no—
238#624—42no—
239#534—91noSylow
240C2×C33—22no—
241C2×C33C22×D411yescharacteristic
242C2×C33H(5,𝔽2)12yes—
243C3×C3⋊D3—22no—
244C3×C3⋊D3—22no—
245C3×C3⋊D3—42no—
246C32×D3—42no—
247C24×C3—91no—
248C24×C3—91no—
249C24×C3—91no—
250C23×D3—32no—
251C23×D3—32no—
252C23×D3—32no—
253C23×D3—61no—
254C23×D3—61no—
255C2×C3×D4—32no—
256C2×C3×D4—32no—
257C2×C3×D4—62no—
258C2×C3×D4—92no—
259C2×C3×D4—94no—
260C2×C3×D4—92no—
261C2×C3×D4—92no—
262C2×C3×D4—184no—
263C2×C3×D4—184no—
264C22×C3×C4—21no—
265C22×C3×C4—22no—
266C22×C3×C4—41no—
267C22×C3×C4—91no—
268C22×C3×C4—92no—
269C22×C3×C4D3211yescharacteristic, complemented
270C22×C3×C4C2×C3×D312yescomplemented
271C2×#67—32no—
272C2×#67—34no—
273C2×#67C2×C3×D312yes—
274D3×D4—68no—
275C2×D12—32no—
276C2×D12—34no—
277C2×D12—34no—
278C2×D12—34no—
279C2×D12—62no—
280C2×D12—62no—
281C2×D12—68no—
282C2×D12—68no—
283C2×C4×D3—32no—
284C2×C4×D3—34no—
285C3×C4⋊C4—34no—
286C3×C4⋊C4—34no—
287C3×C4⋊C4—64no—
288C3×C22⋊C4—32no—
289C3×C22⋊C4—32no—
290C3×C22⋊C4—34no—
291C3×C22⋊C4—34no—
292C3×C22⋊C4—64no—
293C3×C22⋊C4—62no—
294C3×C22⋊C4—92no—
295C3×C22⋊C4—94no—
296#217C2×C3×D312yescomplemented
297(C2×D3)⋊C4—34no—
298(C2×D3)⋊C4—34no—
299(C2×D3)⋊C4—34no—
300(C2×D3)⋊C4C2×C3×D314yescomplemented
301Dic3⋊C4C2×C3×D314yescomplemented
302C22×C32—22no—
303C22×C32—24no—
304C22×C32—24no—
305C22×C32—21no—
306C22×C32—22no—
307C22×C32—22no—
308C22×C32—24no—
309C22×C32—42no—
310C22×C32—41no—
311C22×C32—44no—
312C22×C32—44no—
313C22×C32—62no—
314C22×C32—64no—
315C22×C32D3×D414yes—
316C22×C32C2×C3×D412yes—
317C22×C32C23×D312yes—
318C22×C32C24×C311yescharacteristic
319C2×C3⋊D3—22no—
320C2×C3⋊D3—22no—
321C2×C3⋊D3—22no—
322C2×C3⋊D3—24no—
323C2×C3⋊D3—44no—
324C2×C3⋊D3—44no—
325C2×C3⋊D3C2×C3×D412yes—
326C2×C3⋊D3C2×C3×D412yes—
327C2×C3×D3—22no—
328C2×C3×D3—24no—
329C2×C3×D3—22no—
330C2×C3×D3—24no—
331C2×C3×D3—34no—
332C2×C3×D3—34no—
333C2×C3×D3—42no—
334C2×C3×D3—44no—
335C2×C3×D3—62no—
336C2×C3×D3—62no—
337C2×C3×D3—64no—
338C2×C3×D3—64no—
339C2×C3×D3—64no—
340C2×C3×D3—64no—
341C2×C3×D3—64no—
342C2×C3×D3—64no—
343C2×C3×D3—122no—
344C2×C3×D3—122no—
345C2×C3×D3—124no—
346C2×C3×D3—128no—
347C2×C3×D3—128no—
348C2×C3×D3—128no—
349C2×C3×D3—128no—
350C2×C3×D3—128no—
351D32—44no—
352C32×C4—22no—
353C32×C4—24no—
354C32×C4—24no—
355C32×C4—44no—
356C32×C4—44no—
357C32×C4—62no—
358C32×C4—64no—
359C3×Dic3—22no—
360C3×Dic3—24no—
361C3×Dic3—22no—
362C3×Dic3—24no—
363C3×Dic3—44no—
364C3×Dic3—42no—
365C22×D4—91no—
366C22×D4—91no—
367#123—32no—
368#123—92no—
369#121—94no—
370#120—92no—
371#120—92no—
372C2×C22⋊C4—91no—
373C33#53411yescharacteristic, complemented, Sylow
374C23×C3—21no—
375C23×C3—22no—
376C23×C3—32no—
377C23×C3—32no—
378C23×C3—41no—
379C23×C3—62no—
380C23×C3—91no—
381C23×C3—91no—
382C23×C3—94no—
383C23×C3—92no—
384C23×C3—182no—
385C23×C3—182no—
386C23×C3—362no—
387C23×C3—362no—
388C23×C3—362no—
389C23×C3C2×D3211yescharacteristic
390C23×C3C22×C3×D312yes—
391C22×D3—32no—
392C22×D3—32no—
393C22×D3—38no—
394C22×D3—34no—
395C22×D3—64no—
396C22×D3—61no—
397C22×D3—61no—
398C22×D3—62no—
399C22×D3—64no—
400C22×D3—64no—
401C22×D3—64no—
402C22×D3—124no—
403C22×D3—124no—
404C22×D3—124no—
405C22×D3—124no—
406C22×D3—124no—
407C22×D3C22×C3×D312yes—
408C3×D4—64no—
409C3×D4—64no—
410C3×D4—124no—
411C3×D4—184no—
412C3×D4—184no—
413C3×D4—184no—
414C3×D4—364no—
415C2×C3×C4—24no—
416C2×C3×C4—22no—
417C2×C3×C4—24no—
418C2×C3×C4—22no—
419C2×C3×C4—24no—
420C2×C3×C4—34no—
421C2×C3×C4—32no—
422C2×C3×C4—34no—
423C2×C3×C4—32no—
424C2×C3×C4—44no—
425C2×C3×C4—44no—
426C2×C3×C4—42no—
427C2×C3×C4—64no—
428C2×C3×C4—62no—
429C2×C3×C4—182no—
430C2×C3×C4—362no—
431C2×C3×C4C2×D3212yes—
432C2×C3×C4C22×C3×D314yes—
433#67—24no—
434#67—64no—
435#67—124no—
436C2×Dic3C22×C3×D312yes—
437C2×Dic3C22×C3×D314yes—
438D12—68no—
439D12—68no—
440D12—68no—
441D12—68no—
442D12—64no—
443D12—124no—
444C4×D3—64no—
445C4×D3—124no—
446C2×C32—22no—
447C2×C32—24no—
448C2×C32—24no—
449C2×C32—22no—
450C2×C32—21no—
451C2×C32—22no—
452C2×C32—24no—
453C2×C32—41no—
454C2×C32—42no—
455C2×C32—44no—
456C2×C32—44no—
457C2×C32—122no—
458C2×C32C2×D3×D412yes—
459C2×C32#100914yes—
460C2×C32C22×C3×D411yescharacteristic
461C2×C32C3×H(5,𝔽2)12yes—
462C3⋊D3—22no—
463C3⋊D3—22no—
464C3⋊D3—42no—
465C3×D3—42no—
466C3×D3—42no—
467C3×D3—64no—
468C3×D3—64no—
469C3×D3—82no—
470C3×D3—122no—
471C3×D3—122no—
472C3×D3—124no—
473C3×D3—124no—
474C24—91no—
475C24—91no—
476C24—91no—
477C2×D4—32no—
478C2×D4—92no—
479C2×D4—94no—
480C2×D4—92no—
481C2×D4—92no—
482C2×D4—184no—
483C2×D4—184no—
484C22×C4—91no—
485C22×C4—92no—
486C22×C4C3×D3211yescharacteristic, complemented
487C4⋊C4—34no—
488C22⋊C4—32no—
489C22⋊C4—34no—
490C22⋊C4—92no—
491C22⋊C4—94no—
492C22×C3—24no—
493C22×C3—22no—
494C22×C3—24no—
495C22×C3—22no—
496C22×C3—21no—
497C22×C3—22no—
498C22×C3—24no—
499C22×C3—44no—
500C22×C3—44no—
501C22×C3—41no—
502C22×C3—42no—
503C22×C3—64no—
504C22×C3—62no—
505C22×C3—62no—
506C22×C3—64no—
507C22×C3—92no—
508C22×C3—92no—
509C22×C3—122no—
510C22×C3—124no—
511C22×C3—182no—
512C22×C3—182no—
513C22×C3—184no—
514C22×C3—182no—
515C22×C3—364no—
516C22×C3—364no—
517C22×C3—364no—
518C22×C3#381112yes—
519C22×C3C3×D3×D414yes—
520C22×C3C22×D3211yescharacteristic
521C22×C3C23×C3×D312yes—
522C2×D3—22no—
523C2×D3—24no—
524C2×D3—34no—
525C2×D3—34no—
526C2×D3—62no—
527C2×D3—62no—
528C2×D3—64no—
529C2×D3—64no—
530C2×D3—64no—
531C2×D3—64no—
532C2×D3—64no—
533C2×D3—64no—
534C2×D3—122no—
535C2×D3—122no—
536C2×D3—124no—
537C2×D3—128no—
538C2×D3—128no—
539C2×D3—128no—
540C2×D3—128no—
541C2×D3—128no—
542C3×C4—24no—
543C3×C4—22no—
544C3×C4—24no—
545C3×C4—44no—
546C3×C4—44no—
547C3×C4—64no—
548C3×C4—62no—
549C3×C4—62no—
550C3×C4—64no—
551C3×C4—122no—
552C3×C4—124no—
553Dic3—22no—
554Dic3—24no—
555C32—21no—
556C32—22no—
557C32—41no—
558C32#565312yescomplemented
559C32C3×#53411yescharacteristic, complemented
560C23—32no—
561C23—91no—
562C23—91no—
563C23—94no—
564C23—92no—
565C23—182no—
566C23—182no—
567C23—362no—
568C23—362no—
569C23—362no—
570C23C2×C3×D3211yescharacteristic
571D4—64no—
572D4—184no—
573D4—184no—
574D4—184no—
575D4—364no—
576C2×C4—22no—
577C2×C4—34no—
578C2×C4—32no—
579C2×C4—182no—
580C2×C4—362no—
581C2×C4C2×C3×D3212yes—
582C2×C3—24no—
583C2×C3—22no—
584C2×C3—24no—
585C2×C3—21no—
586C2×C3—22no—
587C2×C3—24no—
588C2×C3—22no—
589C2×C3—44no—
590C2×C3—44no—
591C2×C3—41no—
592C2×C3—42no—
593C2×C3—122no—
594C2×C3—122no—
595C2×C3—182no—
596C2×C3—182no—
597C2×C3—242no—
598C2×C3—362no—
599C2×C3#6430812yes—
600C2×C3C2×#381111yescharacteristic
601C2×C3C2×C3×D3×D412yes—
602C2×C3C3×#100914yes—
603D3—42no—
604D3—64no—
605D3—64no—
606D3—122no—
607D3—122no—
608D3—124no—
609D3—124no—
610C22—22no—
611C22—62no—
612C22—64no—
613C22—92no—
614C22—92no—
615C22—182no—
616C22—182no—
617C22—182no—
618C22—184no—
619C22—364no—
620C22—364no—
621C22—364no—
622C22C3×#381112yes—
623C22C22×C3×D3211yescharacteristic
624C4—22no—
625C4—62no—
626C4—64no—
627C3—21no—
628C3—22no—
629C3—41no—
630C3#1059508011yescharacteristic, direct product factor
631C3C3×#565312yescomplemented
632C2—22no—
633C2—122no—
634C2—182no—
635C2—182no—
636C2—362no—
637C2C3×#6430812yes—
638C2C2×C3×#381111yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC22×C33×C4C22
socleC22×C33C24
hypercenterC22×C3×C4D32
hypocenterC32C3×#534
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C22×C3×C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C4⋊(C3⋊D3)C2semidirect
2. C2×C3×#3811C2semidirect
3. C32×#929C2semidirect
4. C3×#63981C2semidirect
5. C3×#63974C2semidirect
6. C3×#63923C2semidirect
7. C3×#63910C2semidirect
8. C3×#63897C2semidirect
10. #10595080C3direct (N × H)
12. C23×C3×C3⋊D3C22semidirect
13. C22×C3×D32C22semidirect
14. C22×C33×C4C22semidirect
17. C2×C3×C4⋊(C3⋊D3)C22semidirect
20. C2×C3×#626C22semidirect
21. C2×C3×#626C22semidirect
22. C2×C3×#624C22semidirect
23. C2×C3×#624C22semidirect
24. C32×#217C22semidirect
25. C32×(C2×D3)⋊C4C22semidirect
26. C32×Dic3⋊C4C22semidirect
27. C3×#3722C22semidirect
28. C3×#3722C22semidirect
29. C22×C4⋊(C3⋊D3)C2×C3semidirect
33. C2×#3811C2×C3semidirect
37. C3×#929D3semidirect
38. C3×#929C2×C3semidirect
45. #63981C2×C3semidirect
46. #63974C2×C3semidirect
47. #63923C2×C3semidirect
48. #63910C2×C3semidirect
49. #63897C2×C3semidirect
54. C22×C3×C3⋊D3D4semidirect
75. C23×C3⋊D3C22×C3semidirect
81. C22×D32C22×C3semidirect
86. C22×C32×C4C2×D3semidirect
87. C22×C32×C4C22×C3semidirect
90. C2×C4⋊(C3⋊D3)C22×C3semidirect
108. C2×#626C22×C3semidirect
109. C2×#626C22×C3semidirect
110. C2×#624C22×C3semidirect
111. C2×#624C22×C3semidirect
116. C3×#217C2×D3semidirect
117. C3×#217C22×C3semidirect
122. C3×(C2×D3)⋊C4C2×D3semidirect
123. C3×(C2×D3)⋊C4C22×C3semidirect
125. C3×Dic3⋊C4C2×D3semidirect
126. C3×Dic3⋊C4C22×C3semidirect
127. #3722C22×C3semidirect
128. #3722C22×C3semidirect
160. #929C3×D3semidirect
176. C22×C3⋊D3C3×D4semidirect
269. C22×C3×C4D32semidirect
270. C22×C3×C4C2×C3×D3semidirect
296. #217C2×C3×D3semidirect
300. (C2×D3)⋊C4C2×C3×D3semidirect
301. Dic3⋊C4C2×C3×D3semidirect
373. C33#534semidirect
486. C22×C4C3×D32semidirect
558. C32#5653semidirect
559. C32C3×#534semidirect
630. C3#10595080direct (N × H)
631. C3C3×#5653semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C4⋊(C3⋊D3)2
C2×C3×#38112
C32×#9292
C3×#639812
C3×#639742
C3×#639232
C3×#639102
C3×#638972
C3×#56533
#105950803