Finite Group Databasebeta

← C3×#10588636 #13142479

Subgroups — C3×#10588636 #13142479

Order 1728.

990 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×#611C211yesmaximal, characteristic
2C22×C3×C4×D9C211yesmaximal, characteristic, complemented
3C2×C3×C9×C22⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×#3676C211yesmaximal, characteristic, complemented
5C2×C3×(C2×D9)⋊C4C211yesmaximal, characteristic, complemented
6C3×C9⋊#95C211yesmaximal, characteristic, complemented
7C3×C9⋊#95C211yesmaximal, characteristic, complemented
8C3×#4956—31nomaximal
9#10588636C311yesmaximal, characteristic, direct product factor
10C24×C3×C9C2211yescharacteristic
11C23×C3×D9C2211yescharacteristic
12C22×C3×C4×C9C2211yescharacteristic
13C22×C3×C4×C9C2211yescharacteristic
14C2×C3×#611—22no—
15C2×C3×#611—22no—
16C2×C3×#611C414yescomplemented
17C22×C3×Dic9C2211yescharacteristic
18C22×C3×Dic9C2211yescharacteristic
19C22×C3×Dic9C2211yescharacteristic
20C2×C3×C4×D9—22no—
21C2×C3×C4×D9—22no—
22C2×C3×C4×D9—22no—
23C3×C9×C22⋊C4—22no—
24C3×#3676—22no—
25C3×(C2×D9)⋊C4—22no—
26C22×C3×#67—31no—
27C22×C3×C4×D3—31no—
28C2×C32×C22⋊C4D311yescharacteristic
29C2×C3×#217—31no—
30C2×C3×(C2×D3)⋊C4—31no—
31C22×#611C2×C311yescharacteristic
32C22×C4×D9C2×C311yescharacteristic, complemented
33C3×C3⋊#95—31no—
34C3×C3⋊#95—31no—
35C2×C9×C22⋊C4—21no—
36C2×C9×C22⋊C4C2×C311yescharacteristic, complemented
37C2×#3676C2×C311yescharacteristic, complemented
38C2×(C2×D9)⋊C4C2×C311yescharacteristic, complemented
39C9⋊#95C2×C311yescharacteristic, complemented
40C9⋊#95C2×C311yescharacteristic, complemented
41C23×C3×C9—21no—
42C23×C3×C9—21no—
43C23×C3×C9—21no—
44C23×C3×C9—21no—
45C23×C3×C9—21no—
46C23×C3×C9—21no—
47C23×C3×C9C2×C412yescomplemented
48C23×C3×C9C2311yescharacteristic
49C22×C3×D9—21no—
50C22×C3×D9—21no—
51C22×C3×D9—21no—
52C22×C3×D9—21no—
53C22×C3×D9C2×C412yes—
54C22×C3×D9D412yes—
55C22×C3×D9D412yes—
56C2×C3×C4×C9—21no—
57C2×C3×C4×C9—21no—
58C2×C3×C4×C9—21no—
59C2×C3×C4×C9—21no—
60C2×C3×C4×C9—21no—
61C2×C3×C4×C9D412yescomplemented
62C3×#611—28no—
63C2×C3×Dic9—21no—
64C2×C3×Dic9—21no—
65C2×C3×Dic9—21no—
66C2×C3×Dic9—21no—
67C2×C3×Dic9—21no—
68C2×C3×Dic9—21no—
69C2×C3×Dic9—21no—
70C2×C3×Dic9C2×C412yescomplemented
71C2×C3×Dic9D412yescomplemented
72C3×C4×D9—28no—
73C3×#386—91no—
74#4956—31no—
75C24×C32C2×D311yescharacteristic
76C23×C3×D3—31no—
77C22×C32×C4C2×D311yescharacteristic
78C22×C32×C4C2×D311yescharacteristic
79C2×C3×#67—34no—
80C2×C3×#67—62no—
81C2×C3×#67—62no—
82C22×C3×Dic3—31no—
83C22×C3×Dic3—31no—
84C22×C3×Dic3—31no—
85C2×C3×C4×D3—62no—
86C2×C3×C4×D3—62no—
87C2×C3×C4×D3—62no—
88C24×C9—21no—
89C24×C9C22×C311yescharacteristic
90C23×D9C22×C311yescharacteristic
91C32×C22⋊C4—22no—
92C3×#217—62no—
93C3×(C2×D3)⋊C4—62no—
94C22×C4×C9—21no—
95C22×C4×C9—21no—
96C22×C4×C9C22×C311yescharacteristic
97C22×C4×C9C22×C311yescharacteristic
98C2×#611—22no—
99C2×#611—22no—
100C2×#611C3×C414yescomplemented
101C22×Dic9C22×C311yescharacteristic
102C22×Dic9C22×C311yescharacteristic
103C22×Dic9C22×C311yescharacteristic
104C2×C4×D9—22no—
105C2×C4×D9—22no—
106C2×C4×D9—22no—
107C9×C22⋊C4—24no—
108C9×C22⋊C4—22no—
109#3676—22no—
110(C2×D9)⋊C4—22no—
111C22×C3×C9—22no—
112C22×C3×C9—22no—
113C22×C3×C9—22no—
114C22×C3×C9—41no—
115C22×C3×C9—41no—
116C22×C3×C9—41no—
117C22×C3×C9—41no—
118C22×C3×C9C22×C411yescharacteristic
119C22×C3×C9C2×D411yescharacteristic
120C22×C3×C9C2×D411yescharacteristic
121C22×C3×C9C2×D411yescharacteristic
122C22×C3×C9C2×D411yescharacteristic
123C22×C3×C9#4111yescharacteristic
124C22×C3×C9#4111yescharacteristic
125C2×C3×D9—22no—
126C2×C3×D9—22no—
127C2×C3×D9—22no—
128C2×C3×D9—22no—
129C2×C3×D9—22no—
130C2×C3×D9—22no—
131C2×C3×D9C22⋊C414yescomplemented
132C3×C4×C9—22no—
133C3×C4×C9—41no—
134C3×Dic9—22no—
135C3×Dic9—22no—
136C3×Dic9—41no—
137C22×C3×D4—91no—
138C23×C3×C4—91no—
139C22×#67—31no—
140C22×C4×D3—31no—
141C2×C3×C22⋊C4—21no—
142C2×C3×C22⋊C4—91no—
143C2×C3×C22⋊C4—91no—
144C2×C3×C22⋊C4D911yescharacteristic, complemented
145C2×C3×C22⋊C4C3×D311yescharacteristic
146C2×#217—31no—
147C2×(C2×D3)⋊C4—31no—
148C3×#95—91no—
149C3×#95—91no—
150C3⋊#95—31no—
151C3⋊#95—31no—
152C23×C32—21no—
153C23×C32—21no—
154C23×C32—21no—
155C23×C32—21no—
156C23×C32—21no—
157C23×C32—21no—
158C23×C32C4×D312yes—
159C23×C32C22×D311yescharacteristic
160C22×C3×D3—32no—
161C22×C3×D3—32no—
162C22×C3×D3—32no—
163C22×C3×D3—61no—
164C22×C3×D3—61no—
165C22×C3×D3—61no—
166C22×C3×D3—61no—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4#6712yes—
173C3×#67—68no—
174C2×C3×Dic3—32no—
175C2×C3×Dic3—32no—
176C2×C3×Dic3—61no—
177C2×C3×Dic3—61no—
178C2×C3×Dic3—61no—
179C2×C3×Dic3—61no—
180C2×C3×Dic3—61no—
181C2×C3×Dic3—61no—
182C2×C3×Dic3—61no—
183C3×C4×D3—68no—
184C23×C9—22no—
185C23×C9—22no—
186C23×C9—21no—
187C23×C9—21no—
188C23×C9—21no—
189C23×C9—21no—
190C23×C9—21no—
191C23×C9—21no—
192C23×C9—22no—
193C23×C9—21no—
194C23×C9—41no—
195C23×C9—41no—
196C23×C9—41no—
197C23×C9—41no—
198C23×C9C2×C3×C412yescomplemented
199C23×C9C23×C311yescharacteristic
200C22×D9—21no—
201C22×D9—21no—
202C22×D9—21no—
203C22×D9—21no—
204C22×D9C2×C3×C412yes—
205C22×D9C3×D412yes—
206C22×D9C3×D412yes—
207C2×C4×C9—21no—
208C2×C4×C9—21no—
209C2×C4×C9—22no—
210C2×C4×C9—21no—
211C2×C4×C9—21no—
212C2×C4×C9—21no—
213C2×C4×C9—22no—
214C2×C4×C9—41no—
215C2×C4×C9—41no—
216C2×C4×C9—41no—
217C2×C4×C9—41no—
218C2×C4×C9C3×D412yescomplemented
219#611—28no—
220C2×Dic9—21no—
221C2×Dic9—21no—
222C2×Dic9—21no—
223C2×Dic9—21no—
224C2×Dic9—21no—
225C2×Dic9—21no—
226C2×Dic9—21no—
227C2×Dic9C2×C3×C412yescomplemented
228C2×Dic9C3×D412yescomplemented
229C4×D9—28no—
230#386—91noSylow
231C2×C3×C9—42no—
232C2×C3×C9C2×C22⋊C411yescharacteristic
233C2×C3×C9C4×D411yescharacteristic
234C2×C3×C9C4×D411yescharacteristic
235C2×C3×C9#12011yescharacteristic
236C2×C3×C9#12111yescharacteristic
237C2×C3×C9#12111yescharacteristic
238C2×C3×C9#12311yescharacteristic
239C3×D9—24no—
240C24×C3—21no—
241C24×C3—91no—
242C24×C3C2×D911yescharacteristic
243C24×C3C2×C3×D311yescharacteristic
244C23×D3—31no—
245C2×C3×D4—94no—
246C2×C3×D4—182no—
247C2×C3×D4—182no—
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—91no—
251C22×C3×C4—91no—
252C22×C3×C4—91no—
253C22×C3×C4—182no—
254C22×C3×C4—182no—
255C22×C3×C4—182no—
256C22×C3×C4C2×D911yescharacteristic
257C22×C3×C4C2×D911yescharacteristic
258C22×C3×C4C2×C3×D311yescharacteristic
259C22×C3×C4C2×C3×D311yescharacteristic
260C2×#67—34no—
261C2×#67—62no—
262C2×#67—62no—
263C22×Dic3—31no—
264C22×Dic3—31no—
265C22×Dic3—31no—
266C2×C4×D3—62no—
267C2×C4×D3—62no—
268C2×C4×D3—62no—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—22no—
271C3×C22⋊C4—22no—
272C3×C22⋊C4—182no—
273C3×C22⋊C4—182no—
274#217—62no—
275(C2×D3)⋊C4—62no—
276C22×C32—22no—
277C22×C32—22no—
278C22×C32—22no—
279C22×C32—41no—
280C22×C32—41no—
281C22×C32—41no—
282C22×C32—41no—
283C22×C32C2×C4×D311yescharacteristic
284C22×C32#23511yescharacteristic
285C22×C32D3×D411yescharacteristic
286C22×C32D3×D411yescharacteristic
287C22×C32D3×D411yescharacteristic
288C22×C32#23711yescharacteristic
289C22×C32C2×#6711yescharacteristic
290C2×C3×D3—34no—
291C2×C3×D3—62no—
292C2×C3×D3—62no—
293C2×C3×D3—62no—
294C2×C3×D3—62no—
295C2×C3×D3—62no—
296C2×C3×D3—62no—
297C32×C4—22no—
298C32×C4—41no—
299C3×Dic3—62no—
300C3×Dic3—62no—
301C3×Dic3—121no—
302C22×C9—24no—
303C22×C9—22no—
304C22×C9—22no—
305C22×C9—22no—
306C22×C9—21no—
307C22×C9—21no—
308C22×C9—21no—
309C22×C9—21no—
310C22×C9—21no—
311C22×C9—21no—
312C22×C9—21no—
313C22×C9—42no—
314C22×C9—42no—
315C22×C9—42no—
316C22×C9—42no—
317C22×C9—42no—
318C22×C9—42no—
319C22×C9—41no—
320C22×C9—41no—
321C22×C9—41no—
322C22×C9—41no—
323C22×C9C22×C3×C411yescharacteristic
324C22×C9C2×C3×D411yescharacteristic
325C22×C9C2×C3×D411yescharacteristic
326C22×C9C2×C3×D411yescharacteristic
327C22×C9C2×C3×D411yescharacteristic
328C22×C9C3×#4111yescharacteristic
329C22×C9C3×#4111yescharacteristic
330C2×D9—22no—
331C2×D9—22no—
332C2×D9—22no—
333C2×D9—22no—
334C2×D9—22no—
335C2×D9—22no—
336C2×D9C3×C22⋊C414yescomplemented
337C4×C9—22no—
338C4×C9—42no—
339C4×C9—42no—
340C4×C9—41no—
341Dic9—22no—
342Dic9—22no—
343Dic9—41no—
344C22×D4—91no—
345C23×C4—91no—
346C2×C22⋊C4—91no—
347C2×C22⋊C4—91no—
348C2×C22⋊C4C3×D911yescharacteristic, complemented
349#95—91no—
350#95—91no—
351C3×C9#38611yescharacteristic, complemented, Sylow
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—21no—
359C23×C3—21no—
360C23×C3—21no—
361C23×C3—21no—
362C23×C3—21no—
363C23×C3—21no—
364C23×C3—21no—
365C23×C3—21no—
366C23×C3—22no—
367C23×C3—21no—
368C23×C3—41no—
369C23×C3—41no—
370C23×C3—41no—
371C23×C3—41no—
372C23×C3—92no—
373C23×C3—92no—
374C23×C3—92no—
375C23×C3—181no—
376C23×C3—181no—
377C23×C3—181no—
378C23×C3—181no—
379C23×C3C4×D912yescomplemented
380C23×C3C22×D911yescharacteristic
381C23×C3C3×C4×D312yes—
382C23×C3C22×C3×D311yescharacteristic
383C22×D3—32no—
384C22×D3—32no—
385C22×D3—32no—
386C22×D3—61no—
387C22×D3—61no—
388C22×D3—61no—
389C22×D3—61no—
390C3×D4—188no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—22no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—21no—
399C2×C3×C4—21no—
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—22no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—92no—
408C2×C3×C4—92no—
409C2×C3×C4—188no—
410C2×C3×C4—181no—
411C2×C3×C4—181no—
412C2×C3×C4—181no—
413C2×C3×C4—181no—
414C2×C3×C4—181no—
415C2×C3×C4—181no—
416C2×C3×C4—181no—
417C2×C3×C4#61112yescomplemented
418C2×C3×C4C3×#6712yes—
419#67—68no—
420C2×Dic3—32no—
421C2×Dic3—32no—
422C2×Dic3—61no—
423C2×Dic3—61no—
424C2×Dic3—61no—
425C2×Dic3—61no—
426C2×Dic3—61no—
427C2×Dic3—61no—
428C2×Dic3—61no—
429C4×D3—68no—
430C2×C32—42no—
431C2×C32D3×C22⋊C411yescharacteristic
432C2×C32#67⋊C411yescharacteristic
433C2×C32#88311yescharacteristic
434C2×C32#88411yescharacteristic
435C2×C32C4×#6711yescharacteristic
436C2×C32#93711yescharacteristic
437C2×C32#93811yescharacteristic
438C3×D3—64no—
439C2×C9—21no—
440C2×C9—21no—
441C2×C9—21no—
442C2×C9—21no—
443C2×C9—21no—
444C2×C9—21no—
445C2×C9—21no—
446C2×C9—44no—
447C2×C9—42no—
448C2×C9C2×C3×C22⋊C411yescharacteristic
449C2×C9C3×C4×D411yescharacteristic
450C2×C9C3×C4×D411yescharacteristic
451C2×C9C3×#12011yescharacteristic
452C2×C9C3×#12111yescharacteristic
453C2×C9C3×#12111yescharacteristic
454C2×C9C3×#12311yescharacteristic
455D9—24no—
456C24—91no—
457C24C2×C3×D911yescharacteristic
458C2×D4—94no—
459C2×D4—182no—
460C2×D4—182no—
461C22×C4—91no—
462C22×C4—91no—
463C22×C4—91no—
464C22×C4—182no—
465C22×C4—182no—
466C22×C4—182no—
467C22×C4C2×C3×D911yescharacteristic
468C22×C4C2×C3×D911yescharacteristic
469C22⋊C4—22no—
470C22⋊C4—182no—
471C22⋊C4—182no—
472C22×C3—24no—
473C22×C3—22no—
474C22×C3—22no—
475C22×C3—22no—
476C22×C3—22no—
477C22×C3—22no—
478C22×C3—22no—
479C22×C3—21no—
480C22×C3—21no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—21no—
484C22×C3—21no—
485C22×C3—21no—
486C22×C3—42no—
487C22×C3—42no—
488C22×C3—42no—
489C22×C3—42no—
490C22×C3—42no—
491C22×C3—42no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—41no—
495C22×C3—41no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—41no—
499C22×C3—41no—
500C22×C3—94no—
501C22×C3—182no—
502C22×C3—182no—
503C22×C3—182no—
504C22×C3—182no—
505C22×C3—182no—
506C22×C3—182no—
507C22×C3C2×C4×D911yescharacteristic
508C22×C3#369711yescharacteristic
509C22×C3D4×D911yescharacteristic
510C22×C3D4×D911yescharacteristic
511C22×C3D4×D911yescharacteristic
512C22×C3#369911yescharacteristic
513C22×C3C2×#61111yescharacteristic
514C22×C3C2×C3×C4×D311yescharacteristic
515C22×C3C3×#23511yescharacteristic
516C22×C3C3×D3×D411yescharacteristic
517C22×C3C3×D3×D411yescharacteristic
518C22×C3C3×D3×D411yescharacteristic
519C22×C3C3×#23711yescharacteristic
520C22×C3C2×C3×#6711yescharacteristic
521C2×D3—34no—
522C2×D3—62no—
523C2×D3—62no—
524C2×D3—62no—
525C2×D3—62no—
526C2×D3—62no—
527C2×D3—62no—
528C3×C4—22no—
529C3×C4—22no—
530C3×C4—42no—
531C3×C4—42no—
532C3×C4—41no—
533C3×C4—41no—
534C3×C4—182no—
535C3×C4—182no—
536C3×C4—361no—
537Dic3—62no—
538Dic3—62no—
539Dic3—121no—
540C32#495611yescharacteristic
541C9—21no—
542C9C3×#38611yescharacteristic, complemented
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—92no—
550C23—92no—
551C23—92no—
552C23—181no—
553C23—181no—
554C23—181no—
555C23—181no—
556C23C3×C4×D912yescomplemented
557C23C22×C3×D911yescharacteristic
558D4—188no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—92no—
565C2×C4—92no—
566C2×C4—188no—
567C2×C4—181no—
568C2×C4—181no—
569C2×C4—181no—
570C2×C4—181no—
571C2×C4—181no—
572C2×C4—181no—
573C2×C4—181no—
574C2×C4C3×#61112yescomplemented
575C2×C3—21no—
576C2×C3—21no—
577C2×C3—21no—
578C2×C3—21no—
579C2×C3—21no—
580C2×C3—21no—
581C2×C3—21no—
582C2×C3—44no—
583C2×C3—42no—
584C2×C3—42no—
585C2×C3—184no—
586C2×C3C22⋊C4×D911yescharacteristic
587C2×C3#611⋊C411yescharacteristic
588C2×C3#6344511yescharacteristic
589C2×C3#6344611yescharacteristic
590C2×C3C4×#61111yescharacteristic
591C2×C3#6349911yescharacteristic
592C2×C3#6350011yescharacteristic
593C2×C3C3×D3×C22⋊C411yescharacteristic
594C2×C3C3×#67⋊C411yescharacteristic
595C2×C3C3×#88311yescharacteristic
596C2×C3C3×#88411yescharacteristic
597C2×C3C3×C4×#6711yescharacteristic
598C2×C3C3×#93711yescharacteristic
599C2×C3C3×#93811yescharacteristic
600D3—64no—
601C22—22no—
602C22—22no—
603C22—22no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—94no—
609C22—182no—
610C22—182no—
611C22—182no—
612C22—182no—
613C22—182no—
614C22—182no—
615C22C2×C3×C4×D911yescharacteristic
616C22C3×#369711yescharacteristic
617C22C3×D4×D911yescharacteristic
618C22C3×D4×D911yescharacteristic
619C22C3×D4×D911yescharacteristic
620C22C3×#369911yescharacteristic
621C22C2×C3×#61111yescharacteristic
622C4—22no—
623C4—41no—
624C4—182no—
625C4—182no—
626C4—361no—
627C3—21no—
628C3#1058863611yescharacteristic, direct product factor
629C3C3×#495611yescharacteristic
630C2—42no—
631C2—184no—
632C2C3×C22⋊C4×D911yescharacteristic
633C2C3×#611⋊C411yescharacteristic
634C2C3×#6344511yescharacteristic
635C2C3×#6344611yescharacteristic
636C2C3×C4×#61111yescharacteristic
637C2C3×#6349911yescharacteristic
638C2C3×#6350011yescharacteristic
subgroupG/H
centerC23×C3C22×D9
commutatorC22×C9C22×C3×C4
FrattiniC23×C3C22×C3×D3
FittingC2×C3×C9×C22⋊C4C2
socleC23×C32C22×D3
prime radicalC22×C3×#611C2
cosocleC23×C9C23×C3
hypercenterC2×C3×C22⋊C4D9
hypocenterC9C3×#386
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C23×C3 ◁ C2×C3×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C3×C4×D9C2semidirect
3. C2×C3×C9×C22⋊C4C2semidirect
4. C2×C3×#3676C2semidirect
5. C2×C3×(C2×D9)⋊C4C2semidirect
6. C3×C9⋊#95C2semidirect
7. C3×C9⋊#95C2semidirect
9. #10588636C3direct (N × H)
16. C2×C3×#611C4semidirect
32. C22×C4×D9C2×C3semidirect
36. C2×C9×C22⋊C4C2×C3semidirect
37. C2×#3676C2×C3semidirect
38. C2×(C2×D9)⋊C4C2×C3semidirect
39. C9⋊#95C2×C3semidirect
40. C9⋊#95C2×C3semidirect
47. C23×C3×C9C2×C4semidirect
61. C2×C3×C4×C9D4semidirect
70. C2×C3×Dic9C2×C4semidirect
71. C2×C3×Dic9D4semidirect
100. C2×#611C3×C4semidirect
131. C2×C3×D9C22⋊C4semidirect
144. C2×C3×C22⋊C4D9semidirect
198. C23×C9C2×C3×C4semidirect
218. C2×C4×C9C3×D4semidirect
227. C2×Dic9C2×C3×C4semidirect
228. C2×Dic9C3×D4semidirect
336. C2×D9C3×C22⋊C4semidirect
348. C2×C22⋊C4C3×D9semidirect
351. C3×C9#386semidirect
379. C23×C3C4×D9semidirect
417. C2×C3×C4#611semidirect
542. C9C3×#386semidirect
556. C23C3×C4×D9semidirect
574. C2×C4C3×#611semidirect
628. C3#10588636direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#6112
C22×C3×C4×D92
C2×C3×C9×C22⋊C42
C2×C3×#36762
C2×C3×(C2×D9)⋊C42
C3×C9⋊#952
C3×#49563
#105886363