Finite Group Databasebeta

← D9×#882 #13148397

Subgroups — D9×#882 #13148397

Order 1728.

2116 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×D3×D9C211yesmaximal, characteristic, complemented
2C2×D9×#67C211yesmaximal, characteristic, complemented
3C2×D9×D12C212yesmaximal, complemented
4#11721728C211yesmaximal, characteristic, complemented
5C9×#882C211yesmaximal, characteristic, complemented
6C3×C22⋊C4×D9C211yesmaximal, characteristic, complemented
7#11721291C211yesmaximal, characteristic, complemented
8#11721287C211yesmaximal, characteristic, complemented
9#11721051C212yesmaximal, complemented
10#11721050C212yesmaximal, complemented
11D9×(C2×D3)⋊C4C212yesmaximal, complemented
12D3×#882—31nomaximal
13D9×#120—31nomaximal
14C23×C3⋊D9C2211yescharacteristic, complemented
15C23×D3×C9C2211yescharacteristic, complemented
16C23×C3×D9C2211yescharacteristic
17C22×D3×D9—24no—
18C22×D3×D9—28no—
19C22×D3×D9C2212yes—
20C22×D3×D9C2212yescomplemented
21C22×D3×D9C2211yescharacteristic, complemented
22C2×#6233C2211yescharacteristic, complemented
23C2×C4⋊(C3⋊D9)C2212yescomplemented
24C2×C9×#67C2211yescharacteristic, complemented
25C2×C9×D12C2212yescomplemented
26C2×C3×C4×D9C2212yescomplemented
27D9×#67—24no—
28C2×#6195C2212yescomplemented
29C2×#6195C2212yescomplemented
30C2×#6194C2211yescharacteristic, complemented
31C2×#6192C2211yescharacteristic, complemented
32C2×Dic3×D9C2211yescharacteristic, complemented
33D9×D12—28no—
34C3×C9×C22⋊C4C2211yescharacteristic, complemented
35#88536C2212yescomplemented
36C3×#3676C2211yescharacteristic, complemented
37C9×(C2×D3)⋊C4C2212yescomplemented
38C3×(C2×D9)⋊C4C2212yescomplemented
39(C2×D3)⋊Dic9C2212yescomplemented
40#88445C2212yescomplemented
41C23×D32—31no—
42C2×D3×#67—31no—
43C2×D3×D12—32no—
44C24×D9—31no—
45#64091—31no—
46C3×#882D311yescharacteristic
47C3×D3×C22⋊C4—31no—
48#63981—31no—
49#63977—31no—
50#63923—32no—
51#63922—32no—
52D3×(C2×D3)⋊C4—32no—
53C2×D4×D9—31no—
54C2×D4×D9—32no—
55C9×#120—31no—
56#63515—31no—
57#63499—31no—
58#63499—32no—
59#63444—31no—
60#63444—32no—
61#63444—61no—
62C22⋊C4×D9—32no—
63C22⋊C4×D9D311yescharacteristic, complemented
64C23×C3×C9C2311yescharacteristic
65C22×C3⋊D9—22no—
66C22×C3⋊D9—24no—
67C22×C3⋊D9C2312yes—
68C22×C3⋊D9C2311yescharacteristic, complemented
69C22×D3×C9—22no—
70C22×D3×C9—24no—
71C22×D3×C9C2312yes—
72C22×D3×C9C2311yescharacteristic, complemented
73C22×C3×D9—24no—
74C22×C3×D9D414yescomplemented
75C22×C3×D9C2311yescharacteristic
76C22×C3×D9C2311yescharacteristic
77C2×D3×D9—232no—
78C2×D3×D9—24no—
79C2×D3×D9—24no—
80C2×D3×D9—24no—
81C2×D3×D9—24no—
82C2×D3×D9—24no—
83C2×D3×D9—24no—
84C2×D3×D9—22no—
85C2×D3×D9D418yescomplemented
86C2×C3×C4×C9C2312yescomplemented
87#6233—22no—
88C2×C3⋊Dic9C2311yescharacteristic, complemented
89C4⋊(C3⋊D9)—24no—
90C9×#67—22no—
91C2×C9×Dic3C2311yescharacteristic, complemented
92C2×C3×Dic9C2312yescomplemented
93C9×D12—24no—
94C3×C4×D9—24no—
95#6195—24no—
96#6195—24no—
97#6194—22no—
98#6192—22no—
99Dic3×D9—22no—
100D3×#120—91no—
101C2×#882—91no—
102C23×C3⋊D3—31no—
103C23×C3×D3—31no—
104C23×C3×D3C2×D311yescharacteristic
105C22×D32—32no—
106C22×D32—31no—
107C22×D32—32no—
108C22×D32—68no—
109C22×D32—64no—
110C2×#638—31no—
111C2×C4⋊(C3⋊D3)—32no—
112C2×C3×#67C2×D311yescharacteristic
113C2×C3×D12C2×D312yes—
114C2×C3×C4×D3—32no—
115D3×#67—64no—
116C2×#626—32no—
117C2×#626—32no—
118C2×#626—31no—
119C2×#625—31no—
120C2×D3×Dic3—31no—
121D3×D12—68no—
122C24×C9—31no—
123C23×D9—32no—
124C23×D9—31no—
125C23×D9—32no—
126C23×D9—31no—
127C23×D9—68no—
128C23×D9—64no—
129C23×D9—61no—
130C23×D9C2×D311yescharacteristic
131C32×C22⋊C4C2×D311yescharacteristic
132#3752—32no—
133C3×#217—31no—
134C3×(C2×D3)⋊C4—32no—
135C3×(C2×D3)⋊C4C2×D312yes—
136#3722—32no—
137(C2×D3)⋊Dic3—32no—
138C2×D4×C9—31no—
139C2×D4×C9—32no—
140C2×#611—31no—
141C2×#611—31no—
142C2×#611—32no—
143C2×#611—32no—
144C2×#611—61no—
145D4×D9—68no—
146D4×D9—64no—
147C2×D36—31no—
148C2×D36—32no—
149C2×D36—62no—
150C2×C4×D9—31no—
151C2×C4×D9C2×D312yescomplemented
152C9×C22⋊C4—21no—
153C9×C22⋊C4—32no—
154C9×C22⋊C4C2×D311yescharacteristic, complemented
155#3676—32no—
156#3676C2×D311yescharacteristic, complemented
157(C2×D9)⋊C4—32no—
158(C2×D9)⋊C4—32no—
159(C2×D9)⋊C4—62no—
160(C2×D9)⋊C4C2×D312yescomplemented
161C22×C3×C9—22no—
162C22×C3×C9C2×D412yescomplemented
163C22×C3×C9C2411yescharacteristic
164C2×C3⋊D9—28no—
165C2×C3⋊D9—22no—
166C2×C3⋊D9—22no—
167C2×C3⋊D9—21no—
168C2×C3⋊D9—22no—
169C2×C3⋊D9C2×D414yescomplemented
170C2×D3×C9—28no—
171C2×D3×C9—22no—
172C2×D3×C9—22no—
173C2×D3×C9—21no—
174C2×D3×C9—22no—
175C2×D3×C9C2×D414yescomplemented
176C2×C3×D9—22no—
177C2×C3×D9—28no—
178C2×C3×D9C2×D412yes—
179C2×C3×D9C2×D414yes—
180C2×C3×D9C2×D412yescomplemented
181D3×D9—216no—
182D3×D9—216no—
183D3×D9—44no—
184C3×C4×C9—22no—
185C3⋊Dic9—21no—
186C9×Dic3—21no—
187C3×Dic9—22no—
188C24×D3—91no—
189C24×D3—91no—
190C22×#67—91no—
191C2×D3×D4—92no—
192C2×D3×D4—91no—
193C22×D12—92no—
194C3×#120—31no—
195C2×C3×C22⋊C4—91no—
196#953—91no—
197#937—92no—
198#937—91no—
199C2×(C2×D3)⋊C4—92no—
200#882—92no—
201#882—91no—
202#882—91no—
203#882—92no—
204#882—91no—
205#882—91no—
206#882—92no—
207#882—181no—
208#882D911yescharacteristic, direct product factor
209D3×C22⋊C4—31no—
210D3×C22⋊C4—92no—
211C23×C32C22×D311yescharacteristic
212C22×C3⋊D3—32no—
213C22×C3⋊D3—31no—
214C22×C3⋊D3—64no—
215C22×C3⋊D3—62no—
216C22×C3×D3—22no—
217C22×C3×D3—24no—
218C22×C3×D3—31no—
219C22×C3×D3—34no—
220C22×C3×D3—31no—
221C22×C3×D3—64no—
222C22×C3×D3C22×D312yes—
223C22×C3×D3C22×D311yescharacteristic
224C2×D32—38no—
225C2×D32—64no—
226C2×D32—64no—
227C2×D32—64no—
228C2×D32—64no—
229C2×D32—632no—
230C2×D32—64no—
231C2×D32—64no—
232C2×D32—62no—
233C2×C32×C4C22×D312yes—
234#638—62no—
235C2×C3⋊Dic3—31no—
236C4⋊(C3⋊D3)—64no—
237C3×#67—22no—
238C2×C3×Dic3—32no—
239C2×C3×Dic3C22×D311yescharacteristic
240C3×D12—24no—
241C3×C4×D3—64no—
242#626—62no—
243#626—64no—
244#626—64no—
245#625—62no—
246D3×Dic3—62no—
247C23×C9—21no—
248C23×C9—32no—
249C23×C9—31no—
250C23×C9—64no—
251C23×C9—62no—
252C23×C9C22×D311yescharacteristic
253C22×D9—24no—
254C22×D9—32no—
255C22×D9—38no—
256C22×D9—31no—
257C22×D9—62no—
258C22×D9—61no—
259C22×D9—64no—
260C22×D9—64no—
261C22×D9—632no—
262C22×D9—64no—
263C22×D9—62no—
264C22×D9—64no—
265C22×D9—64no—
266C22×D9—64no—
267C22×D9—62no—
268C22×D9—64no—
269C22×D9—124no—
270C22×D9—122no—
271C22×D9D1214yescomplemented
272C22×D9C22×D311yescharacteristic
273C22×D9C22×D311yescharacteristic
274D4×C9—64no—
275D4×C9—62no—
276C2×C4×C9—22no—
277C2×C4×C9—31no—
278C2×C4×C9C22×D312yescomplemented
279#611—64no—
280#611—64no—
281#611—62no—
282#611—62no—
283#611—122no—
284C2×Dic9—31no—
285C2×Dic9—61no—
286C2×Dic9C22×D312yescomplemented
287D36—64no—
288D36—62no—
289D36—124no—
290C4×D9—24no—
291C4×D9—62no—
292C2×#120—271noSylow
293C2×C3×C9—22no—
294C2×C3×C9C22×D411yescharacteristic
295C2×C3×C9C22×D412yes—
296C3⋊D9—24no—
297C3⋊D9—41no—
298D3×C9—24no—
299D3×C9—41no—
300C3×D9—22no—
301C3×D9#12014yescomplemented
302C24×C3—31no—
303C24×C3—91no—
304C23×D3—31no—
305C23×D3—92no—
306C23×D3—92no—
307C23×D3—91no—
308C23×D3—92no—
309C23×D3—91no—
310C23×D3—91no—
311C23×D3—92no—
312C23×D3—91no—
313C23×D3—181no—
314C23×D3—188no—
315C23×D3—184no—
316C23×D3—184no—
317C23×D3—188no—
318C23×D3C2×D911yescharacteristic, complemented
319C2×C3×D4—31no—
320C2×C3×D4—32no—
321C22×C3×C4—92no—
322C2×#67—92no—
323C2×#67—92no—
324C2×#67—91no—
325C2×#67—91no—
326C2×#67—91no—
327C2×#67—91no—
328C2×#67—91no—
329C2×#67—181no—
330C2×#67—184no—
331C2×#67C2×D911yescharacteristic, complemented
332C22×Dic3—91no—
333D3×D4—188no—
334D3×D4—184no—
335C2×D12—91no—
336C2×D12—92no—
337C2×D12—92no—
338C2×D12—92no—
339C2×D12—92no—
340C2×D12—182no—
341C2×D12—188no—
342C2×D12C2×D912yescomplemented
343C2×C4×D3—32no—
344C2×C4×D3—91no—
345C3×C22⋊C4—21no—
346C3×C22⋊C4—32no—
347C3×C22⋊C4—91no—
348C3×C22⋊C4—92no—
349C3×C22⋊C4C2×D911yescharacteristic, complemented
350C3×C22⋊C4D3211yescharacteristic
351#217—31no—
352#217—92no—
353(C2×D3)⋊C4—32no—
354(C2×D3)⋊C4—92no—
355(C2×D3)⋊C4—92no—
356(C2×D3)⋊C4—92no—
357(C2×D3)⋊C4—92no—
358(C2×D3)⋊C4—92no—
359(C2×D3)⋊C4—182no—
360(C2×D3)⋊C4C2×D912yescomplemented
361C22×C32—22no—
362C22×C32D3×D412yes—
363C22×C32C23×D311yescharacteristic
364C2×C3⋊D3—34no—
365C2×C3⋊D3—68no—
366C2×C3⋊D3—62no—
367C2×C3⋊D3—62no—
368C2×C3⋊D3—62no—
369C2×C3⋊D3—61no—
370C2×C3×D3—28no—
371C2×C3×D3—22no—
372C2×C3×D3—22no—
373C2×C3×D3—21no—
374C2×C3×D3—22no—
375C2×C3×D3—32no—
376C2×C3×D3—34no—
377C2×C3×D3—32no—
378C2×C3×D3—68no—
379C2×C3×D3—62no—
380C2×C3×D3D3×D414yes—
381D32—616no—
382D32—616no—
383D32—124no—
384C32×C4—22no—
385C3⋊Dic3—61no—
386C3×Dic3—21no—
387C3×Dic3—62no—
388C22×C9—22no—
389C22×C9—21no—
390C22×C9—22no—
391C22×C9—34no—
392C22×C9—42no—
393C22×C9—68no—
394C22×C9—62no—
395C22×C9—62no—
396C22×C9—61no—
397C22×C9—62no—
398C22×C9C2×D1212yescomplemented
399C22×C9C23×D311yescharacteristic
400C2×D9—22no—
401C2×D9—28no—
402C2×D9—34no—
403C2×D9—64no—
404C2×D9—616no—
405C2×D9—68no—
406C2×D9—62no—
407C2×D9—62no—
408C2×D9—616no—
409C2×D9—61no—
410C2×D9—62no—
411C2×D9—122no—
412C2×D9—122no—
413C2×D9—128no—
414C2×D9—122no—
415C2×D9—121no—
416C2×D9—124no—
417C2×D9C2×D1212yes—
418C2×D9C2×D1212yescomplemented
419C2×D9D3×D414yes—
420C4×C9—22no—
421C4×C9—42no—
422C4×C9—61no—
423Dic9—22no—
424Dic9—61no—
425Dic9—121no—
426C25—271no—
427C22×D4—272no—
428C22×D4—271no—
429#120—31no—
430#120—272no—
431#120—271no—
432#120—272no—
433#120—271no—
434#120—271no—
435C2×C22⋊C4—91no—
436C2×C22⋊C4—272no—
437C3×C9C2×#12011yescharacteristic, complemented, Sylow
438C23×C3—21no—
439C23×C3—32no—
440C23×C3—31no—
441C23×C3—64no—
442C23×C3—62no—
443C23×C3—91no—
444C23×C3—94no—
445C23×C3—91no—
446C23×C3—184no—
447C23×C3C22×D911yescharacteristic
448C23×C3C2×D3211yescharacteristic
449C22×D3—22no—
450C22×D3—24no—
451C22×D3—31no—
452C22×D3—31no—
453C22×D3—34no—
454C22×D3—64no—
455C22×D3—98no—
456C22×D3—92no—
457C22×D3—92no—
458C22×D3—98no—
459C22×D3—91no—
460C22×D3—91no—
461C22×D3—182no—
462C22×D3—181no—
463C22×D3—184no—
464C22×D3—184no—
465C22×D3—184no—
466C22×D3—184no—
467C22×D3—1832no—
468C22×D3—184no—
469C22×D3—182no—
470C22×D3—184no—
471C22×D3—184no—
472C22×D3—184no—
473C22×D3—182no—
474C22×D3—184no—
475C22×D3—184no—
476C22×D3—184no—
477C22×D3—1832no—
478C22×D3—184no—
479C22×D3—184no—
480C22×D3—182no—
481C22×D3—182no—
482C22×D3—184no—
483C22×D3—364no—
484C22×D3—362no—
485C22×D3C22×D912yes—
486C22×D3C22×D911yescharacteristic, complemented
487C3×D4—64no—
488C3×D4—62no—
489C2×C3×C4—22no—
490C2×C3×C4—31no—
491C2×C3×C4—92no—
492C2×C3×C4—184no—
493C2×C3×C4C22×D912yescomplemented
494C2×C3×C4C2×D3212yes—
495#67—22no—
496#67—182no—
497#67—184no—
498#67—184no—
499#67—182no—
500#67—182no—
501#67—182no—
502#67—182no—
503#67—362no—
504C2×Dic3—32no—
505C2×Dic3—91no—
506C2×Dic3—91no—
507C2×Dic3—181no—
508C2×Dic3—182no—
509C2×Dic3C22×D911yescharacteristic, complemented
510D12—24no—
511D12—184no—
512D12—184no—
513D12—182no—
514D12—184no—
515D12—184no—
516D12—364no—
517C4×D3—64no—
518C4×D3—182no—
519C2×C32—22no—
520C2×C32C2×D3×D411yescharacteristic
521C2×C32C2×D3×D412yes—
522C3⋊D3—64no—
523C3⋊D3—121no—
524C3×D3—24no—
525C3×D3—34no—
526C3×D3—41no—
527C3×D3—62no—
528C2×C9—22no—
529C2×C9—21no—
530C2×C9—22no—
531C2×C9—42no—
532C2×C9—64no—
533C2×C9—121no—
534C2×C9C22×D1211yescharacteristic
535C2×C9C2×D3×D412yes—
536D9—22no—
537D9—64no—
538D9—124no—
539D9—121no—
540D9—241no—
541D9#88214yesdirect product factor
542C24—31no—
543C24—91no—
544C24—272no—
545C24—272no—
546C24—271no—
547C24—271no—
548C24—544no—
549C24—548no—
550C2×D4—31no—
551C2×D4—32no—
552C2×D4—271no—
553C2×D4—272no—
554C2×D4—272no—
555C2×D4—271no—
556C2×D4—271no—
557C2×D4—272no—
558C2×D4—548no—
559C2×D4—544no—
560C22×C4—92no—
561C22×C4—271no—
562C22⋊C4—32no—
563C22⋊C4—91no—
564C22⋊C4—92no—
565C22⋊C4—272no—
566C22⋊C4—272no—
567C22⋊C4—272no—
568C22⋊C4D3×D911yescharacteristic, complemented
569C22×C3—22no—
570C22×C3—22no—
571C22×C3—21no—
572C22×C3—22no—
573C22×C3—34no—
574C22×C3—42no—
575C22×C3—68no—
576C22×C3—62no—
577C22×C3—62no—
578C22×C3—61no—
579C22×C3—62no—
580C22×C3—92no—
581C22×C3—94no—
582C22×C3—92no—
583C22×C3—188no—
584C22×C3—182no—
585C22×C3D4×D912yescomplemented
586C22×C3C23×D911yescharacteristic
587C22×C3D3×D1212yes—
588C22×C3C22×D3211yescharacteristic
589C2×D3—28no—
590C2×D3—22no—
591C2×D3—22no—
592C2×D3—22no—
593C2×D3—21no—
594C2×D3—32no—
595C2×D3—34no—
596C2×D3—32no—
597C2×D3—68no—
598C2×D3—62no—
599C2×D3—94no—
600C2×D3—94no—
601C2×D3—184no—
602C2×D3—1816no—
603C2×D3—1816no—
604C2×D3—1816no—
605C2×D3—1816no—
606C2×D3—188no—
607C2×D3—188no—
608C2×D3—182no—
609C2×D3—182no—
610C2×D3—182no—
611C2×D3—182no—
612C2×D3—181no—
613C2×D3—182no—
614C2×D3—182no—
615C2×D3—181no—
616C2×D3—362no—
617C2×D3—362no—
618C2×D3—368no—
619C2×D3—362no—
620C2×D3—361no—
621C2×D3—364no—
622C2×D3—364no—
623C2×D3D4×D914yescomplemented
624C3×C4—22no—
625C3×C4—22no—
626C3×C4—42no—
627C3×C4—61no—
628C3×C4—182no—
629Dic3—21no—
630Dic3—62no—
631Dic3—181no—
632Dic3—181no—
633Dic3—361no—
634C32D3×#12011yescharacteristic
635C9—21no—
636C9C2×#88211yescharacteristic, complemented
637C23—32no—
638C23—31no—
639C23—64no—
640C23—62no—
641C23—91no—
642C23—91no—
643C23—94no—
644C23—184no—
645C23—278no—
646C23—272no—
647C23—271no—
648C23—544no—
649C23—544no—
650C23—544no—
651C23—544no—
652C23—544no—
653C23—542no—
654C23—544no—
655C23—544no—
656C23—5432no—
657C23—542no—
658C23C2×D3×D911yescharacteristic
659D4—64no—
660D4—62no—
661D4—544no—
662D4—542no—
663D4—544no—
664D4—544no—
665D4—542no—
666D4—542no—
667C2×C4—31no—
668C2×C4—92no—
669C2×C4—184no—
670C2×C4—271no—
671C2×C4—542no—
672C2×C4C2×D3×D912yescomplemented
673C2×C3—22no—
674C2×C3—22no—
675C2×C3—21no—
676C2×C3—22no—
677C2×C3—42no—
678C2×C3—64no—
679C2×C3—94no—
680C2×C3—121no—
681C2×C3—182no—
682C2×C3C2×D4×D911yescharacteristic
683C2×C3C2×D4×D912yes—
684C2×C3C2×D3×D1211yescharacteristic
685C2×C3D32×D412yes—
686D3—24no—
687D3—34no—
688D3—41no—
689D3—62no—
690D3—184no—
691D3—184no—
692D3—364no—
693D3—361no—
694D3—361no—
695D3—721no—
696C22—22no—
697C22—34no—
698C22—68no—
699C22—62no—
700C22—62no—
701C22—61no—
702C22—62no—
703C22—92no—
704C22—94no—
705C22—92no—
706C22—188no—
707C22—182no—
708C22—274no—
709C22—548no—
710C22—5416no—
711C22—5416no—
712C22—542no—
713C22—542no—
714C22—541no—
715C22—542no—
716C22—1084no—
717C22D9×D1212yescomplemented
718C22C22×D3×D911yescharacteristic
719C4—22no—
720C4—61no—
721C4—182no—
722C4—541no—
723C3—21no—
724C3D9×#12011yescharacteristic, complemented
725C3D3×#88211yescharacteristic
726C2—22no—
727C2—64no—
728C2—94no—
729C2—121no—
730C2—182no—
731C2—544no—
732C2—1081no—
733C2C2×D9×D1211yescharacteristic
734C2D3×D4×D912yes—
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC3×C9×C22⋊C4C22
socleC22×C32C23×D3
hypercenterC22⋊C4D3×D9
hypocenterC3×C9C2×#120
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. C23×D3×D9C2semidirect
2. C2×D9×#67C2semidirect
3. C2×D9×D12C2semidirect
4. #11721728C2semidirect
5. C9×#882C2semidirect
6. C3×C22⋊C4×D9C2semidirect
7. #11721291C2semidirect
8. #11721287C2semidirect
9. #11721051C2semidirect
10. #11721050C2semidirect
11. D9×(C2×D3)⋊C4C2semidirect
14. C23×C3⋊D9C22semidirect
15. C23×D3×C9C22semidirect
20. C22×D3×D9C22semidirect
21. C22×D3×D9C22semidirect
22. C2×#6233C22semidirect
23. C2×C4⋊(C3⋊D9)C22semidirect
24. C2×C9×#67C22semidirect
25. C2×C9×D12C22semidirect
26. C2×C3×C4×D9C22semidirect
28. C2×#6195C22semidirect
29. C2×#6195C22semidirect
30. C2×#6194C22semidirect
31. C2×#6192C22semidirect
32. C2×Dic3×D9C22semidirect
34. C3×C9×C22⋊C4C22semidirect
35. #88536C22semidirect
36. C3×#3676C22semidirect
37. C9×(C2×D3)⋊C4C22semidirect
38. C3×(C2×D9)⋊C4C22semidirect
39. (C2×D3)⋊Dic9C22semidirect
40. #88445C22semidirect
63. C22⋊C4×D9D3semidirect
68. C22×C3⋊D9C23semidirect
72. C22×D3×C9C23semidirect
74. C22×C3×D9D4semidirect
85. C2×D3×D9D4semidirect
86. C2×C3×C4×C9C23semidirect
88. C2×C3⋊Dic9C23semidirect
91. C2×C9×Dic3C23semidirect
92. C2×C3×Dic9C23semidirect
151. C2×C4×D9C2×D3semidirect
154. C9×C22⋊C4C2×D3semidirect
156. #3676C2×D3semidirect
160. (C2×D9)⋊C4C2×D3semidirect
162. C22×C3×C9C2×D4semidirect
169. C2×C3⋊D9C2×D4semidirect
175. C2×D3×C9C2×D4semidirect
180. C2×C3×D9C2×D4semidirect
208. #882D9direct (N × H)
271. C22×D9D12semidirect
278. C2×C4×C9C22×D3semidirect
286. C2×Dic9C22×D3semidirect
301. C3×D9#120semidirect
318. C23×D3C2×D9semidirect
331. C2×#67C2×D9semidirect
342. C2×D12C2×D9semidirect
349. C3×C22⋊C4C2×D9semidirect
360. (C2×D3)⋊C4C2×D9semidirect
398. C22×C9C2×D12semidirect
418. C2×D9C2×D12semidirect
437. C3×C9C2×#120semidirect
486. C22×D3C22×D9semidirect
493. C2×C3×C4C22×D9semidirect
509. C2×Dic3C22×D9semidirect
541. D9#882direct (N × H)
568. C22⋊C4D3×D9semidirect
585. C22×C3D4×D9semidirect
623. C2×D3D4×D9semidirect
636. C9C2×#882semidirect
672. C2×C4C2×D3×D9semidirect
717. C22D9×D12semidirect
724. C3D9×#120semidirect

Maximal subgroups

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

subgroupindex
C23×D3×D92
C2×D9×#672
C2×D9×D122
#117217282
C9×#8822
C3×C22⋊C4×D92
#117212912
#117212872
#117210512
#117210502
D9×(C2×D3)⋊C42
D3×#8823
D9×#1203