Finite Group Databasebeta

← #13150557

Subgroups — #13150557

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×D9×D12C211yesmaximal, characteristic, complemented
4C9×#930C211yesmaximal, characteristic, complemented
5C3×C4×#611C211yesmaximal, characteristic, complemented
6#11721291C212yesmaximal, complemented
7#11721051C212yesmaximal, complemented
8#11721040C211yesmaximal, characteristic, complemented
9#11721039C212yesmaximal, complemented
10#11721004C211yesmaximal, characteristic, complemented
11#11720992C211yesmaximal, characteristic, complemented
12#10595074—31nomaximal
13#10589711—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)C2211yescharacteristic, complemented
20C2×C4⋊(C3⋊D9)C2212yescomplemented
21C2×C9×#67C2212yescomplemented
22C2×C3×#611C2211yescharacteristic
23C2×C9×D12C2211yescharacteristic, complemented
24C2×C3×C4×D9C2211yescharacteristic, complemented
25#88668—28no—
26C2×#6195C2212yescomplemented
27C2×#6195C2212yescomplemented
28C2×#6195C2212yescomplemented
29C2×#6192C2212yescomplemented
30C2×(C3⋊D9)⋊C4C2212yescomplemented
31D9×D12—24no—
32C3×#3676C2211yescharacteristic, complemented
33C9×(C2×D3)⋊C4C2212yescomplemented
34C3×(C2×D9)⋊C4C2211yescharacteristic, complemented
35C9×C4⋊Dic3C2211yescharacteristic, complemented
36C3×Dic9⋊C4C2211yescharacteristic, complemented
37C3×C4×Dic9C2211yescharacteristic, complemented
38#88445C2212yescomplemented
39#88445C2212yescomplemented
40C22×C4⋊(C3⋊D3)—31no—
41C2×#3811—32no—
42C2×D3×D12—31no—
43C3×#930D311yescharacteristic
44C3×C4×#67—31no—
45#63981—32no—
46#63923—32no—
47#63911—31no—
48#63910—32no—
49#63909—31no—
50#63894—31no—
51C2×D4×D9—32no—
52C2×D4×D9—31no—
53C22×D36—31no—
54C22×D36—61no—
55C9×#121—31no—
56#63502—31no—
57#63499—32no—
58C4×#611D311yescharacteristic, complemented
59#63457—31no—
60#63455—31no—
61#63446—32no—
62#63444—32no—
63C23×C3×C9C2311yescharacteristic
64C22×C3⋊D9—24no—
65C22×C3⋊D9—24no—
66C22×C3⋊D9—42no—
67C22×C3⋊D9C2312yes—
68C22×C3⋊D9C2312yes—
69C22×D3×C9C2312yes—
70C22×C3×D9C2311yescharacteristic
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×#67—24no—
81C3×#611D414yescomplemented
82C2×C9×Dic3C2312yes—
83C2×C3×Dic9C2311yescharacteristic
84C2×C3×Dic9C2311yescharacteristic
85C2×C3×Dic9C2311yescharacteristic
86C9×D12—22no—
87C3×C4×D9—22no—
88#6195—24no—
89#6195—24no—
90#6195—42no—
91#6192—24no—
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—31no—
103C2×C3×#67C2×D312yes—
104C2×C3×D12C2×D311yescharacteristic
105C2×C3×C4×D3—31no—
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×#217—31no—
117C3×(C2×D3)⋊C4—31no—
118C3×(C2×D3)⋊C4C2×D312yes—
119C3×C4⋊Dic3C2×D311yescharacteristic
120C3×Dic3⋊C4—31no—
121C3×C4×Dic3—31no—
122#3722—32no—
123#3722—32no—
124C2×D4×C9—32no—
125C2×D4×C9—31no—
126C22×C4×C9—21no—
127C22×C4×C9C2×D311yescharacteristic, complemented
128C2×#611—32no—
129C2×#611—32no—
130C2×#611—32no—
131C2×#611C2×D311yescharacteristic
132D4×D9—64no—
133D4×D9—68no—
134C2×D36—31no—
135C2×D36—32no—
136C2×D36—31no—
137C2×D36—32no—
138C2×D36—64no—
139C2×D36—61no—
140C2×D36—62no—
141C2×D36—61no—
142C2×D36—68no—
143C2×C4×D9—32no—
144C2×C4×D9C2×D311yescharacteristic, complemented
145C9×C4⋊C4—31no—
146C9×C22⋊C4—32no—
147#3676C2×D311yescharacteristic, complemented
148(C2×D9)⋊C4—32no—
149(C2×D9)⋊C4—32no—
150(C2×D9)⋊C4C2×D311yescharacteristic, complemented
151Dic9⋊C4C2×D311yescharacteristic, complemented
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—22no—
165C2×D3×C9—22no—
166C2×D3×C9—22no—
167C2×C3×D9—21no—
168C2×C3×D9—21no—
169C2×C3×D9C2×D412yescomplemented
170D3×D9—48no—
171C3×C4×C9—21no—
172C3×C4×C9C2×D412yescomplemented
173C9×Dic3—22no—
174C3×Dic9—21no—
175C3×Dic9—21no—
176C3×Dic9C2×D412yescomplemented
177C2×D3×D4—91no—
178C2×D3×D4—92no—
179C2×D3×D4—92no—
180C22×D12—91no—
181C22×D12—91no—
182C22×D12—91no—
183C22×D12—181no—
184C3×#121—31no—
185C3×C4×D4—91no—
186#940—91no—
187#937—92no—
188#930—91no—
189#930D911yescharacteristic, complemented
190C4×#67—31no—
191#895—91no—
192#895—92no—
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—31no—
207C22×C3×D3C22×D312yes—
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—24no—
218C3×#67—34no—
219C2×C3×Dic3—31no—
220C2×C3×Dic3—31no—
221C2×C3×Dic3—31no—
222C2×C3×Dic3C22×D312yes—
223C3×D12—22no—
224C3×C4×D3—62no—
225#626—64no—
226#626—64no—
227#626—64no—
228#626—122no—
229#624—64no—
230C23×C9—21no—
231C23×C9—32no—
232C23×C9C22×D311yescharacteristic
233C22×D9—32no—
234C22×D9—32no—
235C22×D9—62no—
236C22×D9—62no—
237C22×D9—64no—
238C22×D9—64no—
239C22×D9—68no—
240C22×D9—64no—
241C22×D9—64no—
242C22×D9—124no—
243C22×D9—122no—
244C22×D9—122no—
245C22×D9—124no—
246C22×D9C22×D311yescharacteristic
247D4×C9—64no—
248D4×C9—62no—
249C2×C4×C9—24no—
250C2×C4×C9—22no—
251C2×C4×C9—21no—
252C2×C4×C9—21no—
253C2×C4×C9—32no—
254C2×C4×C9C22×D311yescharacteristic
255C2×C4×C9C22×D311yescharacteristic
256#611—64no—
257#611—64no—
258#611—122no—
259#611D1214yescomplemented
260C2×Dic9C22×D311yescharacteristic
261C2×Dic9C22×D311yescharacteristic
262C2×Dic9C22×D311yescharacteristic
263D36—34no—
264D36—64no—
265D36—64no—
266D36—68no—
267D36—64no—
268D36—64no—
269D36—62no—
270C4×D9—22no—
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—42no—
280C3×D9—22no—
281C23×D3—92no—
282C23×D3—92no—
283C23×D3—92no—
284C23×D3—92no—
285C23×D3—182no—
286C2×C3×D4—32no—
287C2×C3×D4—31no—
288C2×C3×D4—91no—
289C22×C3×C4—21no—
290C22×C3×C4—91no—
291C22×C3×C4C2×D911yescharacteristic, complemented
292C22×C3×C4D3211yescharacteristic
293C2×#67—31no—
294C2×#67—92no—
295C2×#67—92no—
296C2×#67—92no—
297C2×#67—92no—
298C2×#67C2×D912yescomplemented
299D3×D4—184no—
300D3×D4—188no—
301D3×D4—188no—
302C2×D12—91no—
303C2×D12—91no—
304C2×D12—92no—
305C2×D12—92no—
306C2×D12—92no—
307C2×D12—91no—
308C2×D12—92no—
309C2×D12—92no—
310C2×D12—91no—
311C2×D12—92no—
312C2×D12—181no—
313C2×D12—182no—
314C2×D12—181no—
315C2×D12—184no—
316C2×D12—184no—
317C2×D12—184no—
318C2×D12—188no—
319C2×D12C2×D911yescharacteristic, complemented
320C2×C4×D3—31no—
321C2×C4×D3—92no—
322C2×C4×D3—92no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—91no—
325C3×C22⋊C4—32no—
326C3×C22⋊C4—91no—
327C3×C22⋊C4—91no—
328C3×C42—91no—
329#217—31no—
330(C2×D3)⋊C4—31no—
331(C2×D3)⋊C4—92no—
332(C2×D3)⋊C4—92no—
333(C2×D3)⋊C4—92no—
334(C2×D3)⋊C4—92no—
335(C2×D3)⋊C4C2×D912yescomplemented
336C4⋊Dic3C2×D911yescharacteristic, complemented
337Dic3⋊C4—31no—
338C4×Dic3—31no—
339C22×C32—21no—
340C22×C32—21no—
341C22×C32D3×D412yes—
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—22no—
351C2×C3×D3—22no—
352C2×C3×D3—22no—
353C2×C3×D3—32no—
354C2×C3×D3—61no—
355C2×C3×D3—61no—
356D32—128no—
357C32×C4—21no—
358C32×C4D3×D412yes—
359C3×Dic3—22no—
360C3×Dic3—32no—
361C3×Dic3—61no—
362C3×Dic3—61no—
363C22×C9—22no—
364C22×C9—22no—
365C22×C9—21no—
366C22×C9—21no—
367C22×C9—21no—
368C22×C9—22no—
369C22×C9—62no—
370C22×C9—62no—
371C22×C9—62no—
372C22×C9C2×D1212yescomplemented
373C22×C9C23×D311yescharacteristic
374C2×D9—21no—
375C2×D9—21no—
376C2×D9—34no—
377C2×D9—64no—
378C2×D9—62no—
379C2×D9—62no—
380C2×D9—64no—
381C2×D9—62no—
382C2×D9—62no—
383C2×D9—62no—
384C2×D9—122no—
385C2×D9—122no—
386C2×D9—122no—
387C2×D9—122no—
388C2×D9—128no—
389C2×D9—128no—
390C2×D9—1216no—
391C2×D9C2×D1212yescomplemented
392C4×C9—22no—
393C4×C9—21no—
394C4×C9—22no—
395C4×C9—62no—
396C4×C9D3×D412yescomplemented
397Dic9—21no—
398Dic9—21no—
399Dic9C2×D1212yescomplemented
400C22×D4—271no—
401C22×D4—272no—
402C22×D4—271no—
403#127—271no—
404#121—31no—
405#121—272no—
406#121—271no—
407#120—272no—
408#120—272no—
409C4×D4—91no—
410C4×D4—271no—
411C3×C9D4211yescharacteristic, complemented, Sylow
412C23×C3—21no—
413C23×C3—32no—
414C23×C3—91no—
415C23×C3C22×D911yescharacteristic
416C23×C3C2×D3211yescharacteristic
417C22×D3—31no—
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—184no—
430C22×D3—188no—
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×D912yes—
440C3×D4—64no—
441C3×D4—62no—
442C3×D4—94no—
443C2×C3×C4—24no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—32no—
449C2×C3×C4—91no—
450C2×C3×C4—91no—
451C2×C3×C4—91no—
452C2×C3×C4—182no—
453C2×C3×C4C22×D911yescharacteristic
454C2×C3×C4C22×D911yescharacteristic
455C2×C3×C4C2×D3211yescharacteristic
456C2×C3×C4C2×D3211yescharacteristic
457#67—24no—
458#67—34no—
459#67—184no—
460#67—184no—
461#67—184no—
462#67—362no—
463C2×Dic3—31no—
464C2×Dic3—31no—
465C2×Dic3—31no—
466C2×Dic3C22×D912yes—
467D12—22no—
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—62no—
482C4×D3—184no—
483C4×D3—184no—
484C2×C32—22no—
485C2×C32C2×D3×D411yescharacteristic
486C2×C32C2×D3×D411yescharacteristic
487C2×C32#100911yescharacteristic
488C3⋊D3—64no—
489C3⋊D3—122no—
490C3×D3—42no—
491C3×D3—62no—
492C2×C9—24no—
493C2×C9—22no—
494C2×C9—21no—
495C2×C9—21no—
496C2×C9—21no—
497C2×C9—122no—
498C2×C9C22×D1211yescharacteristic
499C2×C9C2×D3×D411yescharacteristic
500C2×C9#100911yescharacteristic
501D9—22no—
502D9—64no—
503D9—124no—
504D9—124no—
505D9—122no—
506C24—272no—
507C24—272no—
508C2×D4—32no—
509C2×D4—31no—
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—91no—
522C22×C4—272no—
523C22×C4D3×D911yescharacteristic, complemented
524C4⋊C4—31no—
525C4⋊C4—91no—
526C22⋊C4—32no—
527C22⋊C4—91no—
528C22⋊C4—91no—
529C22⋊C4—272no—
530C22⋊C4—272no—
531C42—91no—
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—62no—
541C22×C3—62no—
542C22×C3—62no—
543C22×C3—92no—
544C22×C3—181no—
545C22×C3—181no—
546C22×C3D4×D912yescomplemented
547C22×C3C23×D911yescharacteristic
548C22×C3D3×D1212yes—
549C22×C3C22×D3211yescharacteristic
550C2×D3—22no—
551C2×D3—22no—
552C2×D3—22no—
553C2×D3—32no—
554C2×D3—61no—
555C2×D3—61no—
556C2×D3—94no—
557C2×D3—94no—
558C2×D3—184no—
559C2×D3—182no—
560C2×D3—182no—
561C2×D3—182no—
562C2×D3—182no—
563C2×D3—184no—
564C2×D3—182no—
565C2×D3—182no—
566C2×D3—182no—
567C2×D3—182no—
568C2×D3—182no—
569C2×D3—182no—
570C2×D3—362no—
571C2×D3—362no—
572C2×D3—362no—
573C2×D3—362no—
574C2×D3—368no—
575C2×D3—368no—
576C2×D3—368no—
577C2×D3—368no—
578C2×D3—3616no—
579C3×C4—22no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—22no—
583C3×C4—62no—
584C3×C4—92no—
585C3×C4—181no—
586C3×C4—181no—
587C3×C4D4×D912yescomplemented
588C3×C4#381112yes—
589Dic3—22no—
590Dic3—32no—
591Dic3—61no—
592Dic3—61no—
593C32#560911yescharacteristic
594C9—21no—
595C9D4×D1211yescharacteristic, complemented
596C23—32no—
597C23—91no—
598C23—272no—
599C23—272no—
600C23—544no—
601C23—544no—
602C23—544no—
603C23—544no—
604C23—1082no—
605C23—1082no—
606C23C2×D3×D911yescharacteristic
607D4—64no—
608D4—62no—
609D4—94no—
610D4—274no—
611D4—544no—
612D4—544no—
613D4—544no—
614D4—544no—
615D4—542no—
616D4—1082no—
617C2×C4—22no—
618C2×C4—32no—
619C2×C4—91no—
620C2×C4—91no—
621C2×C4—91no—
622C2×C4—182no—
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—122no—
633C2×C3—182no—
634C2×C3C2×D4×D911yescharacteristic
635C2×C3C2×D4×D911yescharacteristic
636C2×C3#6371511yescharacteristic
637C2×C3C2×D3×D1211yescharacteristic
638C2×C3#6430811yescharacteristic
639C2×C3C2×#381111yescharacteristic
640D3—42no—
641D3—62no—
642D3—184no—
643D3—184no—
644D3—364no—
645D3—364no—
646D3—362no—
647D3—362no—
648C22—21no—
649C22—21no—
650C22—62no—
651C22—62no—
652C22—62no—
653C22—92no—
654C22—181no—
655C22—181no—
656C22—274no—
657C22—542no—
658C22—542no—
659C22—542no—
660C22—542no—
661C22—542no—
662C22—1088no—
663C22—1088no—
664C22D9×D1212yescomplemented
665C22C22×D3×D911yescharacteristic
666C4—21no—
667C4—62no—
668C4—92no—
669C4—181no—
670C4—181no—
671C4#8866812yescomplemented
672C3—21no—
673C3#1058971111yescharacteristic, complemented
674C3#1059507411yescharacteristic
675C2—22no—
676C2—122no—
677C2—182no—
678C2—544no—
679C2—1082no—
680C2C2×D9×D1211yescharacteristic
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×D9×D12C2semidirect
4. C9×#930C2semidirect
5. C3×C4×#611C2semidirect
6. #11721291C2semidirect
7. #11721051C2semidirect
8. #11721040C2semidirect
9. #11721039C2semidirect
10. #11721004C2semidirect
11. #11720992C2semidirect
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
21. C2×C9×#67C22semidirect
23. C2×C9×D12C22semidirect
24. C2×C3×C4×D9C22semidirect
26. C2×#6195C22semidirect
27. C2×#6195C22semidirect
28. C2×#6195C22semidirect
29. C2×#6192C22semidirect
30. C2×(C3⋊D9)⋊C4C22semidirect
32. C3×#3676C22semidirect
33. C9×(C2×D3)⋊C4C22semidirect
34. C3×(C2×D9)⋊C4C22semidirect
35. C9×C4⋊Dic3C22semidirect
36. C3×Dic9⋊C4C22semidirect
37. C3×C4×Dic9C22semidirect
38. #88445C22semidirect
39. #88445C22semidirect
58. C4×#611D3semidirect
79. C4⋊(C3⋊D9)D4semidirect
81. C3×#611D4semidirect
127. C22×C4×C9C2×D3semidirect
144. C2×C4×D9C2×D3semidirect
147. #3676C2×D3semidirect
150. (C2×D9)⋊C4C2×D3semidirect
151. Dic9⋊C4C2×D3semidirect
152. C4×Dic9C2×D3semidirect
155. C22×C3×C9C2×D4semidirect
163. C2×C3⋊D9C2×D4semidirect
169. C2×C3×D9C2×D4semidirect
172. C3×C4×C9C2×D4semidirect
176. C3×Dic9C2×D4semidirect
189. #930D9semidirect
259. #611D12semidirect
291. C22×C3×C4C2×D9semidirect
298. C2×#67C2×D9semidirect
319. C2×D12C2×D9semidirect
335. (C2×D3)⋊C4C2×D9semidirect
336. C4⋊Dic3C2×D9semidirect
372. C22×C9C2×D12semidirect
391. C2×D9C2×D12semidirect
396. C4×C9D3×D4semidirect
399. Dic9C2×D12semidirect
411. C3×C9D42semidirect
523. C22×C4D3×D9semidirect
546. C22×C3D4×D9semidirect
587. C3×C4D4×D9semidirect
595. C9D4×D12semidirect
664. C22D9×D12semidirect
671. C4#88668semidirect
673. C3#10589711semidirect

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×D9×D122
C9×#9302
C3×C4×#6112
#117212912
#117210512
#117210402
#117210392
#117210042
#117209922
#105950743
#105897113