Finite Group Databasebeta

← #13150558

Subgroups — #13150558

Order 1728.

1520 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊(C3⋊D9)C211yesmaximal, characteristic, complemented
2C2×#88668C212yesmaximal, complemented
3C2×D3×D36C211yesmaximal, characteristic, complemented
4C4×C9×#67C211yesmaximal, characteristic, complemented
5C3×#63492C211yesmaximal, characteristic, complemented
6#11721278C212yesmaximal, complemented
7#11721051C212yesmaximal, complemented
8#11721038C211yesmaximal, characteristic, complemented
9#11721006C211yesmaximal, characteristic, complemented
10#11721005C212yesmaximal, complemented
11#11720993C211yesmaximal, characteristic, complemented
12#10595074—31nomaximal
13D4×D36—31nomaximal
14C23×C3⋊D9C2212yescomplemented
15C22×D3×D9C2212yescomplemented
16C22×C3×C4×C9C2211yescharacteristic, complemented
17C2×C4⋊(C3⋊D9)—24no—
18C2×C4⋊(C3⋊D9)C2211yescharacteristic
19C2×C4⋊(C3⋊D9)C2212yescomplemented
20C2×C4⋊(C3⋊D9)C2211yescharacteristic, complemented
21C2×C9×#67C2211yescharacteristic
22C2×C3×#611C2212yescomplemented
23C2×C4×D3×C9C2211yescharacteristic, complemented
24C2×C3×D36C2211yescharacteristic, complemented
25#88668—28no—
26C2×#6195C2212yescomplemented
27C2×#6192C2212yescomplemented
28C2×#6192C2212yescomplemented
29C2×#6192C2212yescomplemented
30C2×(C3⋊D9)⋊C4C2212yescomplemented
31D3×D36—24no—
32C9×#217C2211yescharacteristic, complemented
33C9×(C2×D3)⋊C4C2211yescharacteristic, complemented
34C3×(C2×D9)⋊C4C2212yescomplemented
35C9×Dic3⋊C4C2211yescharacteristic, complemented
36C4×C9×Dic3C2211yescharacteristic, complemented
37C3×C4⋊Dic9C2211yescharacteristic, complemented
38#88445C2212yescomplemented
39#88445C2212yescomplemented
40C22×C4⋊(C3⋊D3)—31no—
41C2×#3811—32no—
42C2×D3×D12—31no—
43C3×#930—31no—
44C3×C4×#67D311yescharacteristic
45#63981—32no—
46#63923—32no—
47#63911—31no—
48#63910—32no—
49#63909—31no—
50#63894—31no—
51C2×D4×D9—32no—
52C22×D36—31no—
53C22×D36—31no—
54C22×D36—61no—
55C4×D4×C9—31no—
56#63492—31no—
57#63492D311yescharacteristic, complemented
58#63457—32no—
59#63444—32no—
60#63444—32no—
61#63436—31no—
62C4×D36—31no—
63C23×C3×C9C2311yescharacteristic
64C22×C3⋊D9—24no—
65C22×C3⋊D9—24no—
66C22×C3⋊D9—42no—
67C22×C3⋊D9C2312yes—
68C22×C3⋊D9C2312yes—
69C22×D3×C9C2311yescharacteristic
70C22×C3×D9C2312yes—
71C2×D3×D9—24no—
72C2×D3×D9—24no—
73C2×D3×D9—42no—
74C2×C3×C4×C9—22no—
75C2×C3×C4×C9C2311yescharacteristic
76C2×C3×C4×C9C2311yescharacteristic
77C4⋊(C3⋊D9)—24no—
78C4⋊(C3⋊D9)—22no—
79C4⋊(C3⋊D9)D414yescomplemented
80C9×#67D414yescomplemented
81C3×#611—24no—
82C2×C9×Dic3C2311yescharacteristic
83C2×C9×Dic3C2311yescharacteristic
84C2×C9×Dic3C2311yescharacteristic
85C2×C3×Dic9C2312yes—
86C4×D3×C9—22no—
87C3×D36—22no—
88#6195—24no—
89#6192—24no—
90#6192—24no—
91#6192—42no—
92(C3⋊D9)⋊C4—24no—
93#5609—91no—
94D4×D12—91no—
95C23×C3⋊D3—32no—
96C22×D32—32no—
97C22×C32×C4C2×D311yescharacteristic
98C2×C4⋊(C3⋊D3)—31no—
99C2×C4⋊(C3⋊D3)—31no—
100C2×C4⋊(C3⋊D3)—32no—
101C2×C4⋊(C3⋊D3)—64no—
102C2×C3×#67—32no—
103C2×C3×#67C2×D311yescharacteristic
104C2×C3×D12—31no—
105C2×C3×C4×D3C2×D311yescharacteristic
106#3811—68no—
107C2×#626—32no—
108C2×#626—32no—
109C2×#626—32no—
110C2×#626—32no—
111C2×#624—32no—
112D3×D12—64no—
113C23×D9—32no—
114C23×D9—32no—
115C23×D9—62no—
116C3×#217C2×D311yescharacteristic
117C3×(C2×D3)⋊C4—32no—
118C3×(C2×D3)⋊C4C2×D311yescharacteristic
119C3×C4⋊Dic3—31no—
120C3×Dic3⋊C4C2×D311yescharacteristic
121C3×C4×Dic3C2×D311yescharacteristic
122#3722—32no—
123#3722—32no—
124C2×D4×C9—31no—
125C22×C4×C9—21no—
126C22×C4×C9—31no—
127C22×C4×C9C2×D311yescharacteristic, complemented
128C2×#611—32no—
129C2×#611C2×D312yescomplemented
130D4×D9—68no—
131C2×D36—31no—
132C2×D36—32no—
133C2×D36—32no—
134C2×D36—31no—
135C2×D36—32no—
136C2×D36—32no—
137C2×D36—64no—
138C2×D36—64no—
139C2×D36—61no—
140C2×D36—61no—
141C2×D36—62no—
142C2×D36—68no—
143C2×D36C2×D311yescharacteristic, complemented
144C2×C4×D9—32no—
145C9×C4⋊C4—31no—
146C9×C22⋊C4—31no—
147C9×C22⋊C4—31no—
148C42×C9—31no—
149(C2×D9)⋊C4—32no—
150(C2×D9)⋊C4—32no—
151(C2×D9)⋊C4C2×D312yescomplemented
152C4⋊Dic9C2×D311yescharacteristic, complemented
153C22×C3×C9—21no—
154C22×C3×C9—21no—
155C22×C3×C9C2×D412yescomplemented
156C22×C3×C9C2411yescharacteristic
157C2×C3⋊D9—22no—
158C2×C3⋊D9—22no—
159C2×C3⋊D9—22no—
160C2×C3⋊D9—22no—
161C2×C3⋊D9—22no—
162C2×C3⋊D9—48no—
163C2×C3⋊D9C2×D414yescomplemented
164C2×D3×C9—21no—
165C2×D3×C9—21no—
166C2×D3×C9C2×D412yescomplemented
167C2×C3×D9—22no—
168C2×C3×D9—22no—
169C2×C3×D9—22no—
170D3×D9—48no—
171C3×C4×C9—21no—
172C3×C4×C9C2×D412yescomplemented
173C9×Dic3—21no—
174C9×Dic3—21no—
175C9×Dic3C2×D412yescomplemented
176C3×Dic9—22no—
177C2×D3×D4—92no—
178C2×D3×D4—92no—
179C2×D3×D4—91no—
180C22×D12—91no—
181C22×D12—91no—
182C22×D12—91no—
183C22×D12—181no—
184C3×#121—91no—
185C3×C4×D4—31no—
186#940—91no—
187#937—92no—
188#930—31no—
189#930—91no—
190C4×#67D911yescharacteristic, complemented
191#895—92no—
192#895—91no—
193#893—91no—
194#884—92no—
195#882—92no—
196#882—92no—
197#882—92no—
198#874—91no—
199C4×D12—91no—
200C23×C32C22×D311yescharacteristic
201C22×C3⋊D3—32no—
202C22×C3⋊D3—32no—
203C22×C3⋊D3—64no—
204C22×C3⋊D3—64no—
205C22×C3⋊D3—122no—
206C22×C3×D3—32no—
207C22×C3×D3C22×D311yescharacteristic
208C2×D32—64no—
209C2×D32—64no—
210C2×D32—122no—
211C2×C32×C4—22no—
212C2×C32×C4C22×D311yescharacteristic
213C2×C32×C4C22×D311yescharacteristic
214C4⋊(C3⋊D3)—34no—
215C4⋊(C3⋊D3)—64no—
216C4⋊(C3⋊D3)—62no—
217C3×#67—64no—
218C3×#67D1214yes—
219C2×C3×Dic3—32no—
220C2×C3×Dic3C22×D311yescharacteristic
221C2×C3×Dic3C22×D311yescharacteristic
222C2×C3×Dic3C22×D311yescharacteristic
223C3×D12—62no—
224C3×C4×D3—22no—
225#626—64no—
226#626—64no—
227#626—64no—
228#626—122no—
229#624—64no—
230C23×C9—21no—
231C23×C9—31no—
232C23×C9C22×D311yescharacteristic
233C22×D9—32no—
234C22×D9—32no—
235C22×D9—62no—
236C22×D9—62no—
237C22×D9—64no—
238C22×D9—64no—
239C22×D9—64no—
240C22×D9—68no—
241C22×D9—64no—
242C22×D9—124no—
243C22×D9—122no—
244C22×D9—122no—
245C22×D9—124no—
246C22×D9C22×D312yes—
247D4×C9—34no—
248C2×C4×C9—24no—
249C2×C4×C9—22no—
250C2×C4×C9—21no—
251C2×C4×C9—21no—
252C2×C4×C9—31no—
253C2×C4×C9—31no—
254C2×C4×C9—31no—
255C2×C4×C9—62no—
256C2×C4×C9C22×D311yescharacteristic
257C2×C4×C9C22×D311yescharacteristic
258#611—24no—
259#611—64no—
260C2×Dic9C22×D312yes—
261D36—22no—
262D36—34no—
263D36—64no—
264D36—64no—
265D36—68no—
266D36—64no—
267D36—64no—
268D36—64no—
269D36—62no—
270D36—122no—
271C4×D9—64no—
272D42—271noSylow
273C2×C3×C9—22no—
274C2×C3×C9C22×D411yescharacteristic
275C2×C3×C9C22×D411yescharacteristic
276C2×C3×C9H(5,𝔽2)11yescharacteristic
277C3⋊D9—24no—
278C3⋊D9—42no—
279D3×C9—22no—
280C3×D9—42no—
281C23×D3—92no—
282C23×D3—92no—
283C23×D3—92no—
284C23×D3—92no—
285C23×D3—182no—
286C2×C3×D4—31no—
287C2×C3×D4—92no—
288C2×C3×D4—91no—
289C22×C3×C4—21no—
290C22×C3×C4—31no—
291C22×C3×C4C2×D911yescharacteristic, complemented
292C22×C3×C4D3211yescharacteristic
293C2×#67—32no—
294C2×#67—92no—
295C2×#67—92no—
296C2×#67—92no—
297C2×#67—92no—
298C2×#67C2×D911yescharacteristic
299D3×D4—184no—
300D3×D4—188no—
301D3×D4—188no—
302C2×D12—31no—
303C2×D12—91no—
304C2×D12—91no—
305C2×D12—92no—
306C2×D12—92no—
307C2×D12—92no—
308C2×D12—92no—
309C2×D12—91no—
310C2×D12—91no—
311C2×D12—92no—
312C2×D12—92no—
313C2×D12—181no—
314C2×D12—182no—
315C2×D12—181no—
316C2×D12—184no—
317C2×D12—184no—
318C2×D12—184no—
319C2×D12—188no—
320C2×C4×D3—92no—
321C2×C4×D3—92no—
322C2×C4×D3C2×D911yescharacteristic, complemented
323C3×C4⋊C4—31no—
324C3×C4⋊C4—91no—
325C3×C22⋊C4—31no—
326C3×C22⋊C4—31no—
327C3×C22⋊C4—92no—
328C3×C42—31no—
329#217C2×D911yescharacteristic, complemented
330(C2×D3)⋊C4—32no—
331(C2×D3)⋊C4—92no—
332(C2×D3)⋊C4—92no—
333(C2×D3)⋊C4—92no—
334(C2×D3)⋊C4—92no—
335(C2×D3)⋊C4C2×D911yescharacteristic, complemented
336C4⋊Dic3—31no—
337Dic3⋊C4C2×D911yescharacteristic, complemented
338C4×Dic3C2×D911yescharacteristic, complemented
339C22×C32—21no—
340C22×C32—21no—
341C22×C32C2×D1212yes—
342C22×C32C23×D311yescharacteristic
343C2×C3⋊D3—34no—
344C2×C3⋊D3—62no—
345C2×C3⋊D3—62no—
346C2×C3⋊D3—62no—
347C2×C3⋊D3—62no—
348C2×C3⋊D3—62no—
349C2×C3⋊D3—128no—
350C2×C3×D3—21no—
351C2×C3×D3—21no—
352C2×C3×D3—62no—
353C2×C3×D3—62no—
354C2×C3×D3—62no—
355C2×C3×D3C2×D1212yes—
356D32—128no—
357C32×C4—21no—
358C32×C4D3×D412yes—
359C3×Dic3—21no—
360C3×Dic3—21no—
361C3×Dic3—62no—
362C3×Dic3C2×D1212yes—
363C22×C9—22no—
364C22×C9—22no—
365C22×C9—21no—
366C22×C9—21no—
367C22×C9—21no—
368C22×C9—22no—
369C22×C9—32no—
370C22×C9—61no—
371C22×C9—61no—
372C22×C9D3×D412yescomplemented
373C22×C9C23×D311yescharacteristic
374C2×D9—22no—
375C2×D9—22no—
376C2×D9—22no—
377C2×D9—34no—
378C2×D9—64no—
379C2×D9—62no—
380C2×D9—62no—
381C2×D9—64no—
382C2×D9—62no—
383C2×D9—62no—
384C2×D9—62no—
385C2×D9—122no—
386C2×D9—122no—
387C2×D9—122no—
388C2×D9—122no—
389C2×D9—128no—
390C2×D9—128no—
391C2×D9—1216no—
392C4×C9—22no—
393C4×C9—21no—
394C4×C9—22no—
395C4×C9—32no—
396C4×C9—61no—
397C4×C9—61no—
398C4×C9D3×D412yescomplemented
399Dic9—22no—
400C22×D4—271no—
401C22×D4—272no—
402C22×D4—271no—
403#127—271no—
404#121—91no—
405#121—272no—
406#121—271no—
407#120—272no—
408#120—272no—
409C4×D4—31no—
410C4×D4—271no—
411C3×C9D4211yescharacteristic, complemented, Sylow
412C23×C3—21no—
413C23×C3—31no—
414C23×C3—92no—
415C23×C3C22×D911yescharacteristic
416C23×C3C2×D3211yescharacteristic
417C22×D3—32no—
418C22×D3—92no—
419C22×D3—92no—
420C22×D3—92no—
421C22×D3—92no—
422C22×D3—182no—
423C22×D3—182no—
424C22×D3—184no—
425C22×D3—184no—
426C22×D3—184no—
427C22×D3—184no—
428C22×D3—184no—
429C22×D3—188no—
430C22×D3—184no—
431C22×D3—184no—
432C22×D3—184no—
433C22×D3—364no—
434C22×D3—362no—
435C22×D3—362no—
436C22×D3—362no—
437C22×D3—362no—
438C22×D3—364no—
439C22×D3C22×D911yescharacteristic
440C3×D4—34no—
441C3×D4—184no—
442C3×D4—182no—
443C2×C3×C4—24no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—31no—
449C2×C3×C4—31no—
450C2×C3×C4—31no—
451C2×C3×C4—62no—
452C2×C3×C4—92no—
453C2×C3×C4C22×D911yescharacteristic
454C2×C3×C4C22×D911yescharacteristic
455C2×C3×C4C2×D3211yescharacteristic
456C2×C3×C4C2×D3211yescharacteristic
457#67—64no—
458#67—184no—
459#67—184no—
460#67—184no—
461#67—362no—
462#67D3614yescomplemented
463C2×Dic3—32no—
464C2×Dic3C22×D911yescharacteristic
465C2×Dic3C22×D911yescharacteristic
466C2×Dic3C22×D911yescharacteristic
467D12—62no—
468D12—94no—
469D12—94no—
470D12—184no—
471D12—184no—
472D12—184no—
473D12—188no—
474D12—184no—
475D12—184no—
476D12—184no—
477D12—184no—
478D12—182no—
479D12—182no—
480D12—362no—
481C4×D3—22no—
482C4×D3—184no—
483C4×D3—184no—
484C2×C32—22no—
485C2×C32C22×D1211yescharacteristic
486C2×C32C2×D3×D411yescharacteristic
487C2×C32#100911yescharacteristic
488C3⋊D3—64no—
489C3⋊D3—122no—
490C3×D3—22no—
491C3×D3—122no—
492C2×C9—24no—
493C2×C9—22no—
494C2×C9—21no—
495C2×C9—21no—
496C2×C9—21no—
497C2×C9—62no—
498C2×C9C2×D3×D411yescharacteristic
499C2×C9C2×D3×D411yescharacteristic
500C2×C9#100911yescharacteristic
501D9—42no—
502D9—64no—
503D9—124no—
504D9—124no—
505D9—122no—
506C24—272no—
507C24—272no—
508C2×D4—31no—
509C2×D4—92no—
510C2×D4—91no—
511C2×D4—272no—
512C2×D4—272no—
513C2×D4—272no—
514C2×D4—272no—
515C2×D4—271no—
516C2×D4—272no—
517C2×D4—271no—
518C2×D4—544no—
519C2×D4—544no—
520C2×D4—548no—
521C22×C4—31no—
522C22×C4—272no—
523C22×C4D3×D911yescharacteristic, complemented
524C4⋊C4—31no—
525C4⋊C4—91no—
526C22⋊C4—31no—
527C22⋊C4—31no—
528C22⋊C4—92no—
529C22⋊C4—272no—
530C22⋊C4—272no—
531C42—31no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—21no—
535C22×C3—21no—
536C22×C3—21no—
537C22×C3—21no—
538C22×C3—21no—
539C22×C3—22no—
540C22×C3—32no—
541C22×C3—61no—
542C22×C3—61no—
543C22×C3—182no—
544C22×C3—182no—
545C22×C3—182no—
546C22×C3C2×D3612yescomplemented
547C22×C3C23×D911yescharacteristic
548C22×C3D3×D1212yes—
549C22×C3C22×D3211yescharacteristic
550C2×D3—21no—
551C2×D3—21no—
552C2×D3—62no—
553C2×D3—62no—
554C2×D3—62no—
555C2×D3—94no—
556C2×D3—94no—
557C2×D3—184no—
558C2×D3—182no—
559C2×D3—182no—
560C2×D3—182no—
561C2×D3—182no—
562C2×D3—184no—
563C2×D3—182no—
564C2×D3—182no—
565C2×D3—182no—
566C2×D3—182no—
567C2×D3—182no—
568C2×D3—182no—
569C2×D3—362no—
570C2×D3—362no—
571C2×D3—362no—
572C2×D3—362no—
573C2×D3—368no—
574C2×D3—368no—
575C2×D3—368no—
576C2×D3—368no—
577C2×D3—3616no—
578C2×D3C2×D3612yescomplemented
579C3×C4—22no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—22no—
583C3×C4—32no—
584C3×C4—61no—
585C3×C4—61no—
586C3×C4—182no—
587C3×C4D4×D912yescomplemented
588C3×C4#381112yes—
589Dic3—21no—
590Dic3—21no—
591Dic3—62no—
592Dic3C2×D3612yescomplemented
593C32D4×D1211yescharacteristic
594C9—21no—
595C9#560911yescharacteristic, complemented
596C23—31no—
597C23—92no—
598C23—272no—
599C23—272no—
600C23—544no—
601C23—544no—
602C23—544no—
603C23—544no—
604C23—1082no—
605C23—1082no—
606C23C2×D3×D911yescharacteristic
607D4—34no—
608D4—184no—
609D4—182no—
610D4—274no—
611D4—544no—
612D4—544no—
613D4—544no—
614D4—544no—
615D4—542no—
616D4—1082no—
617C2×C4—22no—
618C2×C4—31no—
619C2×C4—31no—
620C2×C4—31no—
621C2×C4—62no—
622C2×C4—92no—
623C2×C4—544no—
624C2×C4C2×D3×D911yescharacteristic
625C2×C4C2×D3×D911yescharacteristic
626C2×C3—24no—
627C2×C3—22no—
628C2×C3—22no—
629C2×C3—21no—
630C2×C3—21no—
631C2×C3—21no—
632C2×C3—62no—
633C2×C3—362no—
634C2×C3C22×D3611yescharacteristic
635C2×C3C2×D4×D911yescharacteristic
636C2×C3#6371511yescharacteristic
637C2×C3C2×D3×D1211yescharacteristic
638C2×C3#6430811yescharacteristic
639C2×C3C2×#381111yescharacteristic
640D3—22no—
641D3—122no—
642D3—184no—
643D3—184no—
644D3—364no—
645D3—364no—
646D3—362no—
647D3—362no—
648C22—21no—
649C22—21no—
650C22—32no—
651C22—61no—
652C22—61no—
653C22—182no—
654C22—182no—
655C22—182no—
656C22—274no—
657C22—542no—
658C22—542no—
659C22—542no—
660C22—542no—
661C22—542no—
662C22—1088no—
663C22—1088no—
664C22D3×D3612yescomplemented
665C22C22×D3×D911yescharacteristic
666C4—21no—
667C4—32no—
668C4—61no—
669C4—61no—
670C4—182no—
671C4#8866812yescomplemented
672C3—21no—
673C3D4×D3611yescharacteristic, complemented
674C3#1059507411yescharacteristic
675C2—22no—
676C2—62no—
677C2—362no—
678C2—544no—
679C2—1082no—
680C2C2×D3×D3611yescharacteristic
681C2#1172247811yescharacteristic
682C2C2×#8866811yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
hypercenterC22×C4D3×D9
hypocenterC3×C9D42
LCSG ▷ C22×C3×C9 ▷ C3×C9
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4⋊(C3⋊D9)C2semidirect
2. C2×#88668C2semidirect
3. C2×D3×D36C2semidirect
4. C4×C9×#67C2semidirect
5. C3×#63492C2semidirect
6. #11721278C2semidirect
7. #11721051C2semidirect
8. #11721038C2semidirect
9. #11721006C2semidirect
10. #11721005C2semidirect
11. #11720993C2semidirect
14. C23×C3⋊D9C22semidirect
15. C22×D3×D9C22semidirect
16. C22×C3×C4×C9C22semidirect
19. C2×C4⋊(C3⋊D9)C22semidirect
20. C2×C4⋊(C3⋊D9)C22semidirect
22. C2×C3×#611C22semidirect
23. C2×C4×D3×C9C22semidirect
24. C2×C3×D36C22semidirect
26. C2×#6195C22semidirect
27. C2×#6192C22semidirect
28. C2×#6192C22semidirect
29. C2×#6192C22semidirect
30. C2×(C3⋊D9)⋊C4C22semidirect
32. C9×#217C22semidirect
33. C9×(C2×D3)⋊C4C22semidirect
34. C3×(C2×D9)⋊C4C22semidirect
35. C9×Dic3⋊C4C22semidirect
36. C4×C9×Dic3C22semidirect
37. C3×C4⋊Dic9C22semidirect
38. #88445C22semidirect
39. #88445C22semidirect
57. #63492D3semidirect
79. C4⋊(C3⋊D9)D4semidirect
80. C9×#67D4semidirect
127. C22×C4×C9C2×D3semidirect
129. C2×#611C2×D3semidirect
143. C2×D36C2×D3semidirect
151. (C2×D9)⋊C4C2×D3semidirect
152. C4⋊Dic9C2×D3semidirect
155. C22×C3×C9C2×D4semidirect
163. C2×C3⋊D9C2×D4semidirect
166. C2×D3×C9C2×D4semidirect
172. C3×C4×C9C2×D4semidirect
175. C9×Dic3C2×D4semidirect
190. C4×#67D9semidirect
291. C22×C3×C4C2×D9semidirect
322. C2×C4×D3C2×D9semidirect
329. #217C2×D9semidirect
335. (C2×D3)⋊C4C2×D9semidirect
337. Dic3⋊C4C2×D9semidirect
338. C4×Dic3C2×D9semidirect
372. C22×C9D3×D4semidirect
398. C4×C9D3×D4semidirect
411. C3×C9D42semidirect
462. #67D36semidirect
523. C22×C4D3×D9semidirect
546. C22×C3C2×D36semidirect
578. C2×D3C2×D36semidirect
587. C3×C4D4×D9semidirect
592. Dic3C2×D36semidirect
595. C9#5609semidirect
664. C22D3×D36semidirect
671. C4#88668semidirect
673. C3D4×D36semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊(C3⋊D9)2
C2×#886682
C2×D3×D362
C4×C9×#672
C3×#634922
#117212782
#117210512
#117210382
#117210062
#117210052
#117209932
#105950743
D4×D363