Finite Group Databasebeta

← D9×#930 #13150536

Subgroups — D9×#930 #13150536

Order 1728.

1372 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4×D9C211yesmaximal, characteristic, complemented
2C2×D9×#67C212yesmaximal, complemented
3C2×D9×D12C211yesmaximal, characteristic, complemented
4#11721819C211yesmaximal, characteristic, complemented
5C9×#930C211yesmaximal, characteristic, complemented
6#11721288C212yesmaximal, complemented
7D9×(C2×D3)⋊C4C212yesmaximal, complemented
8#11721036C211yesmaximal, characteristic, complemented
9#11721033C212yesmaximal, complemented
10#11721004C211yesmaximal, characteristic, complemented
11D9×C4⋊Dic3C211yesmaximal, characteristic, complemented
12D3×#930—31nomaximal
13D9×#121—31nomaximal
14C23×C3×D9C2211yescharacteristic
15C22×D3×D9C2212yes—
16C22×C3×C4×C9C2211yescharacteristic, complemented
17C2×#6233C2212yescomplemented
18C2×C4⋊(C3⋊D9)C2211yescharacteristic, complemented
19C2×C9×#67C2212yescomplemented
20C22×C3×Dic9C2211yescharacteristic, complemented
21C2×C9×D12C2211yescharacteristic, complemented
22C2×C3×C4×D9—24no—
23C2×C3×C4×D9C2211yescharacteristic
24C2×C3×C4×D9C2211yescharacteristic
25C2×C3×C4×D9C2211yescharacteristic, complemented
26C2×C3×C4×D9C2211yescharacteristic, complemented
27D9×#67—28no—
28C2×#6195C2212yescomplemented
29C2×#6194C2212yescomplemented
30C2×#6192C2212yescomplemented
31C2×Dic3×D9C2212yes—
32D9×D12—24no—
33#88536C2212yescomplemented
34C4⋊(C3⋊Dic9)C2211yescharacteristic, complemented
35C9×(C2×D3)⋊C4C2212yescomplemented
36C9×C4⋊Dic3C2211yescharacteristic, complemented
37(C2×D3)⋊Dic9C2212yescomplemented
38#88445C2212yescomplemented
39Dic9⋊Dic3C2212yescomplemented
40C22×C3×C4×D3—31no—
41C2×D3×#67—32no—
42C2×D3×D12—31no—
43#64139—31no—
44C3×#930D311yescharacteristic
45#63978—32no—
46D3×(C2×D3)⋊C4—32no—
47#63909—31no—
48#63908—31no—
49#63906—32no—
50D3×C4⋊Dic3—31no—
51C2×D4×D9—32no—
52C2×D4×D9—31no—
53C22×C4×D9D311yescharacteristic, complemented
54C9×#121—31no—
55#63501—32no—
56#63500—31no—
57#63492—31no—
58#63492—61no—
59#63457—31no—
60C4⋊C4×D9—31no—
61#63446—32no—
62C22⋊C4×D9—32no—
63C23×C3×C9C2311yescharacteristic
64C22×C3⋊D9C2312yes—
65C22×D3×C9C2312yes—
66C22×C3×D9—22no—
67C22×C3×D9—22no—
68C22×C3×D9D414yescomplemented
69C22×C3×D9C2311yescharacteristic
70C22×C3×D9C2311yescharacteristic
71C2×D3×D9—24no—
72C2×D3×D9—24no—
73C2×D3×D9—24no—
74C2×C3×C4×C9—22no—
75C2×C3×C4×C9C2311yescharacteristic
76C2×C3×C4×C9C2311yescharacteristic
77#6233—24no—
78C2×C3⋊Dic9C2312yes—
79C4⋊(C3⋊D9)—22no—
80C9×#67—24no—
81C2×C9×Dic3C2312yes—
82C2×C3×Dic9—22no—
83C2×C3×Dic9C2311yescharacteristic
84C2×C3×Dic9C2311yescharacteristic
85C9×D12—22no—
86C3×C4×D9—22no—
87C3×C4×D9—22no—
88C3×C4×D9—22no—
89C3×C4×D9D414yescomplemented
90#6195—24no—
91#6194—24no—
92#6192—24no—
93Dic3×D9—24no—
94C2×#930—91no—
95D3×#121—91no—
96C23×C3×D3—31no—
97C22×D32—32no—
98C22×C32×C4C2×D311yescharacteristic
99C2×#638—32no—
100C2×C4⋊(C3⋊D3)—31no—
101C2×C3×#67C2×D312yes—
102C22×C3×Dic3—31no—
103C2×C3×D12C2×D311yescharacteristic
104C2×C3×C4×D3—31no—
105C2×C3×C4×D3—31no—
106C2×C3×C4×D3—31no—
107C2×C3×C4×D3—31no—
108C2×C3×C4×D3—64no—
109D3×#67—68no—
110C2×#626—32no—
111C2×#626—32no—
112C2×#625—32no—
113C2×D3×Dic3—32no—
114D3×D12—64no—
115C23×D9—32no—
116C23×D9C2×D311yescharacteristic
117#3752—32no—
118C4⋊(C3⋊Dic3)—31no—
119C3×(C2×D3)⋊C4C2×D312yes—
120C3×C4⋊Dic3C2×D311yescharacteristic
121Dic3⋊Dic3—32no—
122#3722—32no—
123(C2×D3)⋊Dic3—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×#611—62no—
132C22×Dic9C2×D311yescharacteristic, complemented
133D4×D9—68no—
134D4×D9—64no—
135C2×D36—32no—
136C2×D36—31no—
137C2×D36—61no—
138C2×C4×D9—24no—
139C2×C4×D9—32no—
140C2×C4×D9C2×D311yescharacteristic
141C2×C4×D9C2×D311yescharacteristic
142C2×C4×D9C2×D311yescharacteristic, complemented
143C2×C4×D9C2×D311yescharacteristic, complemented
144C9×C4⋊C4—31no—
145C9×C22⋊C4—32no—
146#3676—32no—
147(C2×D9)⋊C4—32no—
148(C2×D9)⋊C4—32no—
149(C2×D9)⋊C4—62no—
150C4⋊Dic9—31no—
151C4⋊Dic9—61no—
152Dic9⋊C4—32no—
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×D3×C9—22no—
161C2×D3×C9—22no—
162C2×D3×C9—22no—
163C2×C3×D9—21no—
164C2×C3×D9—21no—
165C2×C3×D9—28no—
166C2×C3×D9C2×D412yes—
167C2×C3×D9C2×D412yes—
168C2×C3×D9C2×D412yescomplemented
169C2×C3×D9#4112yes—
170D3×D9—48no—
171C3×C4×C9—21no—
172C3×C4×C9C2×D412yescomplemented
173C3⋊Dic9—22no—
174C9×Dic3—22no—
175C3×Dic9—21no—
176C3×Dic9C2×D412yescomplemented
177C23×C3×C4—91no—
178C22×#67—92no—
179C2×D3×D4—91no—
180C2×D3×D4—92no—
181C22×D12—91no—
182C22×C4×D3—31no—
183C3×#121—31no—
184#939—92no—
185#938—91no—
186#930—91no—
187#930—91no—
188#930—92no—
189#930—91no—
190#930—92no—
191#930—91no—
192#930—181no—
193#930D911yescharacteristic, direct product factor
194C2×(C2×D3)⋊C4—92no—
195C2×C4⋊Dic3—91no—
196#895—91no—
197D3×C4⋊C4—91no—
198#884—92no—
199D3×C22⋊C4—92no—
200C23×C32C22×D311yescharacteristic
201C22×C3⋊D3—32no—
202C22×C3×D3—31no—
203C22×C3×D3—34no—
204C22×C3×D3—31no—
205C22×C3×D3—62no—
206C22×C3×D3—62no—
207C22×C3×D3C22×D312yes—
208C2×D32—64no—
209C2×D32—64no—
210C2×D32—64no—
211C2×C32×C4—22no—
212C2×C32×C4C22×D311yescharacteristic
213C2×C32×C4C22×D311yescharacteristic
214#638—64no—
215C2×C3⋊Dic3—32no—
216C4⋊(C3⋊D3)—62no—
217C3×#67—24no—
218C2×C3×Dic3—31no—
219C2×C3×Dic3—31no—
220C2×C3×Dic3—62no—
221C2×C3×Dic3C22×D312yes—
222C3×D12—22no—
223C3×C4×D3—34no—
224C3×C4×D3—62no—
225C3×C4×D3—62no—
226C3×C4×D3—62no—
227#626—64no—
228#626—64no—
229#625—64no—
230D3×Dic3—64no—
231C23×C9—21no—
232C23×C9—32no—
233C23×C9C22×D311yescharacteristic
234C22×D9—22no—
235C22×D9—22no—
236C22×D9—32no—
237C22×D9—62no—
238C22×D9—64no—
239C22×D9—64no—
240C22×D9—64no—
241C22×D9D1214yescomplemented
242C22×D9C22×D311yescharacteristic
243C22×D9C22×D311yescharacteristic
244D4×C9—64no—
245D4×C9—62no—
246C2×C4×C9—22no—
247C2×C4×C9—21no—
248C2×C4×C9—21no—
249C2×C4×C9—32no—
250C2×C4×C9—42no—
251C2×C4×C9C22×D311yescharacteristic
252C2×C4×C9C22×D311yescharacteristic
253#611—64no—
254#611—64no—
255#611—64no—
256#611—124no—
257C2×Dic9—22no—
258C2×Dic9—32no—
259C2×Dic9—62no—
260C2×Dic9C22×D311yescharacteristic
261C2×Dic9C22×D311yescharacteristic
262D36—64no—
263D36—62no—
264D36—122no—
265C4×D9—22no—
266C4×D9—22no—
267C4×D9—22no—
268C4×D9—64no—
269C4×D9#6714yescomplemented
270C2×#121—271noSylow
271C2×C3×C9—22no—
272C2×C3×C9C22×D411yescharacteristic
273C2×C3×C9C22×D411yescharacteristic
274C2×C3×C9C2×#4111yescharacteristic
275C3⋊D9—42no—
276D3×C9—42no—
277C3×D9—22no—
278C3×D9#12114yescomplemented
279C24×C3—91no—
280C23×D3—31no—
281C23×D3—92no—
282C23×D3—92no—
283C2×C3×D4—32no—
284C2×C3×D4—31no—
285C22×C3×C4—21no—
286C22×C3×C4—91no—
287C22×C3×C4—91no—
288C22×C3×C4—91no—
289C22×C3×C4—91no—
290C22×C3×C4—91no—
291C22×C3×C4—184no—
292C22×C3×C4C2×D911yescharacteristic, complemented
293C22×C3×C4D3211yescharacteristic
294C2×#67—92no—
295C2×#67—92no—
296C2×#67—92no—
297C2×#67—92no—
298C2×#67—92no—
299C2×#67—92no—
300C2×#67—182no—
301C2×#67—188no—
302C2×#67C2×D912yescomplemented
303C22×Dic3—31no—
304C22×Dic3—92no—
305D3×D4—184no—
306D3×D4—188no—
307C2×D12—92no—
308C2×D12—92no—
309C2×D12—91no—
310C2×D12—91no—
311C2×D12—181no—
312C2×D12—184no—
313C2×D12C2×D911yescharacteristic, complemented
314C2×C4×D3—31no—
315C2×C4×D3—31no—
316C2×C4×D3—31no—
317C2×C4×D3—31no—
318C2×C4×D3—64no—
319C2×C4×D3—92no—
320C3×C4⋊C4—31no—
321C3×C22⋊C4—32no—
322#217—92no—
323(C2×D3)⋊C4—92no—
324(C2×D3)⋊C4—92no—
325(C2×D3)⋊C4—92no—
326(C2×D3)⋊C4—92no—
327(C2×D3)⋊C4—92no—
328(C2×D3)⋊C4—182no—
329(C2×D3)⋊C4C2×D912yescomplemented
330C4⋊Dic3—91no—
331C4⋊Dic3—91no—
332C4⋊Dic3—92no—
333C4⋊Dic3—181no—
334C4⋊Dic3C2×D911yescharacteristic, complemented
335Dic3⋊C4—92no—
336C22×C32—21no—
337C22×C32—21no—
338C22×C32D3×D412yes—
339C22×C32C23×D311yescharacteristic
340C2×C3⋊D3—62no—
341C2×C3⋊D3—62no—
342C2×C3⋊D3—62no—
343C2×C3×D3—22no—
344C2×C3×D3—22no—
345C2×C3×D3—22no—
346C2×C3×D3—32no—
347C2×C3×D3—32no—
348C2×C3×D3—32no—
349C2×C3×D3—32no—
350C2×C3×D3—68no—
351C2×C3×D3—61no—
352C2×C3×D3—61no—
353D32—128no—
354C32×C4—21no—
355C32×C4D3×D412yes—
356C3⋊Dic3—62no—
357C3×Dic3—22no—
358C3×Dic3—32no—
359C3×Dic3—61no—
360C22×C9—21no—
361C22×C9—21no—
362C22×C9—21no—
363C22×C9—22no—
364C22×C9—41no—
365C22×C9—41no—
366C22×C9—62no—
367C22×C9—62no—
368C22×C9—62no—
369C22×C9C2×D1212yescomplemented
370C22×C9C23×D311yescharacteristic
371C2×D9—21no—
372C2×D9—21no—
373C2×D9—28no—
374C2×D9—62no—
375C2×D9—62no—
376C2×D9—62no—
377C2×D9—122no—
378C2×D9—122no—
379C2×D9—122no—
380C2×D9—128no—
381C2×D9C2×D1212yes—
382C2×D9C2×D1212yescomplemented
383C2×D9#23512yes—
384C2×D9C2×#6712yes—
385C4×C9—21no—
386C4×C9—22no—
387C4×C9—41no—
388C4×C9—62no—
389C4×C9C2×#6712yescomplemented
390Dic9—21no—
391Dic9—62no—
392Dic9—122no—
393Dic9C2×#6712yescomplemented
394C22×D4—271no—
395C22×D4—272no—
396C23×C4—91no—
397#121—31no—
398#121—272no—
399#121—271no—
400#121—271no—
401#121—272no—
402#121—271no—
403C2×C4⋊C4—271no—
404C2×C22⋊C4—272no—
405C3×C9C2×#12111yescharacteristic, complemented, Sylow
406C23×C3—21no—
407C23×C3—32no—
408C23×C3—91no—
409C23×C3—94no—
410C23×C3—91no—
411C23×C3—182no—
412C23×C3—182no—
413C23×C3C22×D911yescharacteristic
414C23×C3C2×D3211yescharacteristic
415C22×D3—31no—
416C22×D3—31no—
417C22×D3—34no—
418C22×D3—62no—
419C22×D3—62no—
420C22×D3—92no—
421C22×D3—92no—
422C22×D3—182no—
423C22×D3—184no—
424C22×D3—184no—
425C22×D3—184no—
426C22×D3—184no—
427C22×D3—184no—
428C22×D3—184no—
429C22×D3C22×D912yes—
430C3×D4—64no—
431C3×D4—62no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—32no—
437C2×C3×C4—42no—
438C2×C3×C4—91no—
439C2×C3×C4—94no—
440C2×C3×C4—91no—
441C2×C3×C4—182no—
442C2×C3×C4—182no—
443C2×C3×C4—182no—
444C2×C3×C4—182no—
445C2×C3×C4C22×D911yescharacteristic
446C2×C3×C4C22×D911yescharacteristic
447C2×C3×C4C2×D3211yescharacteristic
448C2×C3×C4C2×D3211yescharacteristic
449#67—24no—
450#67—184no—
451#67—184no—
452#67—184no—
453#67—184no—
454#67—184no—
455#67—184no—
456#67—364no—
457C2×Dic3—31no—
458C2×Dic3—31no—
459C2×Dic3—62no—
460C2×Dic3—92no—
461C2×Dic3—92no—
462C2×Dic3—182no—
463C2×Dic3—184no—
464C2×Dic3C22×D912yes—
465D12—22no—
466D12—184no—
467D12—184no—
468D12—182no—
469D12—182no—
470D12—362no—
471C4×D3—34no—
472C4×D3—62no—
473C4×D3—62no—
474C4×D3—62no—
475C4×D3—184no—
476C2×C32—22no—
477C2×C32C2×D3×D411yescharacteristic
478C2×C32C2×D3×D411yescharacteristic
479C2×C32D3×#4111yescharacteristic
480C3⋊D3—122no—
481C3×D3—34no—
482C3×D3—42no—
483C3×D3—62no—
484C2×C9—22no—
485C2×C9—21no—
486C2×C9—21no—
487C2×C9—21no—
488C2×C9—42no—
489C2×C9—122no—
490C2×C9C22×D1211yescharacteristic
491C2×C9C2×#23511yescharacteristic
492C2×C9C22×#6711yescharacteristic
493D9—22no—
494D9—122no—
495D9—242no—
496D9#93014yesdirect product factor
497C24—91no—
498C24—272no—
499C2×D4—32no—
500C2×D4—31no—
501C2×D4—272no—
502C2×D4—272no—
503C2×D4—272no—
504C2×D4—272no—
505C2×D4—271no—
506C2×D4—544no—
507C2×D4—548no—
508C22×C4—91no—
509C22×C4—91no—
510C22×C4—91no—
511C22×C4—91no—
512C22×C4—91no—
513C22×C4—184no—
514C22×C4—272no—
515C22×C4D3×D911yescharacteristic, complemented
516C4⋊C4—31no—
517C4⋊C4—272no—
518C4⋊C4—271no—
519C22⋊C4—32no—
520C22⋊C4—272no—
521C22⋊C4—272no—
522C22⋊C4—272no—
523C22×C3—21no—
524C22×C3—21no—
525C22×C3—21no—
526C22×C3—21no—
527C22×C3—21no—
528C22×C3—22no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—62no—
532C22×C3—62no—
533C22×C3—62no—
534C22×C3—92no—
535C22×C3—92no—
536C22×C3—92no—
537C22×C3—92no—
538C22×C3—188no—
539C22×C3—181no—
540C22×C3—181no—
541C22×C3D4×D912yescomplemented
542C22×C3C23×D911yescharacteristic
543C22×C3D3×D1212yes—
544C22×C3C22×D3211yescharacteristic
545C2×D3—22no—
546C2×D3—22no—
547C2×D3—22no—
548C2×D3—32no—
549C2×D3—32no—
550C2×D3—32no—
551C2×D3—32no—
552C2×D3—68no—
553C2×D3—61no—
554C2×D3—61no—
555C2×D3—182no—
556C2×D3—182no—
557C2×D3—182no—
558C2×D3—182no—
559C2×D3—182no—
560C2×D3—182no—
561C2×D3—362no—
562C2×D3—362no—
563C2×D3—362no—
564C2×D3—368no—
565C2×D3—368no—
566C3×C4—21no—
567C3×C4—21no—
568C3×C4—22no—
569C3×C4—41no—
570C3×C4—62no—
571C3×C4—92no—
572C3×C4—181no—
573C3×C4D4×D912yescomplemented
574C3×C4D3×#6712yes—
575Dic3—22no—
576Dic3—32no—
577Dic3—61no—
578Dic3—182no—
579Dic3—182no—
580Dic3—362no—
581C32D3×#12111yescharacteristic
582C9—21no—
583C9C2×#93011yescharacteristic, complemented
584C23—32no—
585C23—91no—
586C23—91no—
587C23—94no—
588C23—182no—
589C23—182no—
590C23—272no—
591C23—544no—
592C23—544no—
593C23—544no—
594C23C2×D3×D911yescharacteristic
595D4—64no—
596D4—62no—
597D4—544no—
598D4—544no—
599D4—544no—
600D4—544no—
601D4—542no—
602C2×C4—22no—
603C2×C4—32no—
604C2×C4—91no—
605C2×C4—94no—
606C2×C4—91no—
607C2×C4—182no—
608C2×C4—182no—
609C2×C4—182no—
610C2×C4—182no—
611C2×C4—272no—
612C2×C4—544no—
613C2×C4C2×D3×D911yescharacteristic
614C2×C4C2×D3×D911yescharacteristic
615C2×C3—22no—
616C2×C3—22no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—21no—
620C2×C3—42no—
621C2×C3—94no—
622C2×C3—122no—
623C2×C3—182no—
624C2×C3C2×D4×D911yescharacteristic
625C2×C3C2×D4×D911yescharacteristic
626C2×C3#41×D911yescharacteristic
627C2×C3C2×D3×D1211yescharacteristic
628C2×C3D3×#23511yescharacteristic
629C2×C3C2×D3×#6711yescharacteristic
630D3—34no—
631D3—42no—
632D3—62no—
633D3—362no—
634D3—362no—
635D3—722no—
636C22—21no—
637C22—21no—
638C22—62no—
639C22—62no—
640C22—62no—
641C22—92no—
642C22—92no—
643C22—92no—
644C22—92no—
645C22—188no—
646C22—181no—
647C22—181no—
648C22—542no—
649C22—542no—
650C22—542no—
651C22—1088no—
652C22D9×D1212yescomplemented
653C22C22×D3×D911yescharacteristic
654C4—21no—
655C4—62no—
656C4—92no—
657C4—181no—
658C4—542no—
659C4D9×#6712yescomplemented
660C3—21no—
661C3D9×#12111yescharacteristic, complemented
662C3D3×#93011yescharacteristic
663C2—22no—
664C2—94no—
665C2—122no—
666C2—182no—
667C2—1082no—
668C2C2×D9×D1211yescharacteristic
669C2D9×#23511yescharacteristic
670C2C2×D9×#6711yescharacteristic
subgroupG/H
centerC22C22×D3×D9
commutator, cosocleC22×C3×C9C24
FrattiniC22×C3C22×D32
FittingC22×C3×C4×C9C22
socleC22×C32C23×D3
hypercenterC22×C4D3×D9
hypocenterC3×C9C2×#121
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×C3×C4×D9C2semidirect
2. C2×D9×#67C2semidirect
3. C2×D9×D12C2semidirect
4. #11721819C2semidirect
5. C9×#930C2semidirect
6. #11721288C2semidirect
7. D9×(C2×D3)⋊C4C2semidirect
8. #11721036C2semidirect
9. #11721033C2semidirect
10. #11721004C2semidirect
11. D9×C4⋊Dic3C2semidirect
16. C22×C3×C4×C9C22semidirect
17. C2×#6233C22semidirect
18. C2×C4⋊(C3⋊D9)C22semidirect
19. C2×C9×#67C22semidirect
20. C22×C3×Dic9C22semidirect
21. C2×C9×D12C22semidirect
25. C2×C3×C4×D9C22semidirect
26. C2×C3×C4×D9C22semidirect
28. C2×#6195C22semidirect
29. C2×#6194C22semidirect
30. C2×#6192C22semidirect
33. #88536C22semidirect
34. C4⋊(C3⋊Dic9)C22semidirect
35. C9×(C2×D3)⋊C4C22semidirect
36. C9×C4⋊Dic3C22semidirect
37. (C2×D3)⋊Dic9C22semidirect
38. #88445C22semidirect
39. Dic9⋊Dic3C22semidirect
53. C22×C4×D9D3semidirect
68. C22×C3×D9D4semidirect
89. C3×C4×D9D4semidirect
127. C22×C4×C9C2×D3semidirect
132. C22×Dic9C2×D3semidirect
142. C2×C4×D9C2×D3semidirect
143. C2×C4×D9C2×D3semidirect
155. C22×C3×C9C2×D4semidirect
168. C2×C3×D9C2×D4semidirect
172. C3×C4×C9C2×D4semidirect
176. C3×Dic9C2×D4semidirect
193. #930D9direct (N × H)
241. C22×D9D12semidirect
269. C4×D9#67semidirect
278. C3×D9#121semidirect
292. C22×C3×C4C2×D9semidirect
302. C2×#67C2×D9semidirect
313. C2×D12C2×D9semidirect
329. (C2×D3)⋊C4C2×D9semidirect
334. C4⋊Dic3C2×D9semidirect
369. C22×C9C2×D12semidirect
382. C2×D9C2×D12semidirect
389. C4×C9C2×#67semidirect
393. Dic9C2×#67semidirect
405. C3×C9C2×#121semidirect
496. D9#930direct (N × H)
515. C22×C4D3×D9semidirect
541. C22×C3D4×D9semidirect
573. C3×C4D4×D9semidirect
583. C9C2×#930semidirect
652. C22D9×D12semidirect
659. C4D9×#67semidirect
661. C3D9×#121semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C4×D92
C2×D9×#672
C2×D9×D122
#117218192
C9×#9302
#117212882
D9×(C2×D3)⋊C42
#117210362
#117210332
#117210042
D9×C4⋊Dic32
D3×#9303
D9×#1213