Finite Group Databasebeta

← #11903476

Subgroups — #11903476

Order 1152.

1698 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C9×#554C211yesmaximal, characteristic, complemented
2#10589836C211yesmaximal, characteristic, complemented
3#10589830C211yesmaximal, characteristic, complemented
4#10589796C212yesmaximal, complemented
5#10589793C212yesmaximal, complemented
6#10589744C212yesmaximal, complemented
7#10589739C214yesmaximal, complemented
8#10589729C212yesmaximal, complemented
9#10589726C214yesmaximal, complemented
10#10589686C211yesmaximal, characteristic, complemented
11C4×#3701C211yesmaximal, characteristic, complemented
12#10589657C211yesmaximal, characteristic, complemented
13#10589656C212yesmaximal, complemented
14C4×D4×D9C211yesmaximal, characteristic, complemented
15C4×#3699C212yesmaximal, complemented
16#10589616C212yesmaximal, complemented
17C2×#63454C212yesmaximal, complemented
18#86922—31nomaximal
19C2×#3701C2211yescharacteristic
20C2×#3699C2212yes—
21C2×D4×D9C2211yescharacteristic
22C22×C4×D9C2212yes—
23C9×C4⋊Q8C2211yescharacteristic, complemented
24C9×#125C2212yescomplemented
25C9×C22⋊Q8C2214yescomplemented
26C9×C22⋊Q8C2212yescomplemented
27C4×Q8×C9C2211yescharacteristic, complemented
28C4×D4×C9C2212yes—
29C4×D4×C9C2211yescharacteristic
30C2×C9×C4⋊C4C2212yescomplemented
31#63509C2214yescomplemented
32#63508C2212yes—
33#63508C2212yescomplemented
34Q8×Dic9C2212yescomplemented
35Q8×Dic9C2211yescharacteristic, complemented
36D4×Dic9C2211yescharacteristic
37#63492C2214yes—
38#63492C2212yescomplemented
39C4×#611C2212yes—
40C4×#611C2214yescomplemented
41C2×(C2×D9)⋊C4C2214yes—
42C2×C4⋊Dic9C2212yescomplemented
43C2×C4×Dic9C2214yescomplemented
44#63460C2214yescomplemented
45#63460C2214yescomplemented
46#63460C2214yescomplemented
47#63459C2212yes—
48#63459C2212yescomplemented
49#63457C2212yes—
50#63457C2212yescomplemented
51#63456C2214yes—
52#63456C2214yescomplemented
53#63455C2212yes—
54#63455C2211yescharacteristic
55#63455C2214yescomplemented
56#63455C2211yescharacteristic, complemented
57#63454C2212yes—
58#63454C2214yes—
59#63454C2211yescharacteristic
60#63454C2212yescomplemented
61#63454C2214yescomplemented
62#63454C2212yescomplemented
63#63454C2212yescomplemented
64#63454C2212yescomplemented
65C4⋊C4×D9C2211yescharacteristic
66#63452C2214yescomplemented
67#63452C2212yescomplemented
68#63449C2212yescomplemented
69#63448C2214yes—
70#63448C2214yescomplemented
71#63444C2214yes—
72#611⋊C4C2212yes—
73#611⋊C4C2214yescomplemented
74C22⋊C4×D9C2212yes—
75#63439C2214yescomplemented
76#63437C2212yes—
77C4×D36C2212yes—
78C4×D36C2211yescharacteristic
79C4×D36C2211yescharacteristic, complemented
80C42×D9C2211yescharacteristic
81C42×D9C2212yescomplemented
82#63431C2211yescharacteristic, complemented
83C4×Dic18C2212yescomplemented
84C3×#554D311yescharacteristic
85#5734—31no—
86#5728—31no—
87#5694—32no—
88#5691—32no—
89#5642—32no—
90#5637—34no—
91#5627—32no—
92#5624—34no—
93#5584—31no—
94C4×#239—31no—
95#5555—31no—
96#5554—32no—
97C4×D3×D4—31no—
98C4×#237—32no—
99#5514—32no—
100C2×#892—32no—
101C23×D9C2312yes—
102C2×Q8×C9C2311yescharacteristic
103C2×Q8×C9C2312yes—
104C2×D4×C9C2311yescharacteristic
105C22×C4×C9C2312yes—
106C22×C4×C9C2314yes—
107C2×#611C2312yes—
108C2×#611C2314yes—
109C22×Dic9C2314yes—
110C22×Dic9C2312yes—
111#3701—24no—
112#3699—28no—
113D4×D9—24no—
114C2×D36C2311yescharacteristic
115C2×D36C2311yescharacteristic
116C2×D36C2312yes—
117C2×D36C2314yes—
118C2×C4×D9—28no—
119C2×C4×D9C2312yes—
120C2×C4×D9C2311yescharacteristic
121C2×C4×D9C2312yes—
122C2×C4×D9C2312yes—
123C2×C4×D9C2312yes—
124C2×C4×D9C2312yes—
125C2×C4×D9C2312yes—
126C2×C4×D9C2311yescharacteristic
127C2×C4×D9C2311yescharacteristic
128C2×Dic18C2312yes—
129C9×C4⋊C4C2311yescharacteristic
130C9×C4⋊C4C2314yes—
131C9×C4⋊C4C2312yes—
132C9×C4⋊C4C2311yescharacteristic
133C9×C4⋊C4C2312yes—
134C9×C4⋊C4C2312yes—
135C9×C4⋊C4C2314yes—
136C9×C22⋊C4C2314yes—
137C9×C22⋊C4C2312yes—
138C42×C9C2312yes—
139C42×C9C2311yescharacteristic
140#3676C2312yes—
141(C2×D9)⋊C4C2312yes—
142(C2×D9)⋊C4C2314yes—
143(C2×D9)⋊C4C2314yes—
144(C2×D9)⋊C4C2314yes—
145(C2×D9)⋊C4C2312yes—
146(C2×D9)⋊C4C2314yes—
147(C2×D9)⋊C4C2312yes—
148(C2×D9)⋊C4C2314yes—
149(C2×D9)⋊C4C2314yes—
150(C2×D9)⋊C4C2312yes—
151(C2×D9)⋊C4C2312yes—
152C4⋊Dic9C2314yes—
153C4⋊Dic9C2312yes—
154C4⋊Dic9C2311yescharacteristic
155C4⋊Dic9C2312yes—
156C4⋊Dic9C2312yes—
157C4⋊Dic9C2311yescharacteristic
158C4⋊Dic9C2314yes—
159Dic9⋊C4C2312yes—
160Dic9⋊C4C2314yes—
161Dic9⋊C4C2314yes—
162C4×Dic9C2311yescharacteristic
163C4×Dic9C2314yes—
164C4×Dic9C2311yescharacteristic
165C4×Dic9C2311yescharacteristic
166C4×Dic9C2312yes—
167C4×Dic9C2314yes—
168C4×Dic9C2314yes—
169C4×Dic9C2312yes—
170#3475—91noSylow
171C2×#239—31no—
172C2×#237—32no—
173C2×D3×D4—31no—
174C22×C4×D3—32no—
175C3×C4⋊Q8C2×D311yescharacteristic
176C3×#125C2×D312yes—
177C3×C22⋊Q8C2×D314yes—
178C3×C22⋊Q8C2×D312yes—
179C3×C4×Q8C2×D311yescharacteristic
180C3×C4×D4C2×D312yes—
181C3×C4×D4C2×D311yescharacteristic
182C2×C3×C4⋊C4C2×D312yes—
183#947—34no—
184#946—32no—
185#946—32no—
186Q8×Dic3—31no—
187Q8×Dic3—32no—
188D4×Dic3—31no—
189#930—34no—
190#930—32no—
191C4×#67—32no—
192C4×#67—34no—
193C2×(C2×D3)⋊C4—34no—
194C2×C4⋊Dic3—32no—
195C2×C4×Dic3—34no—
196#898—34no—
197#898—34no—
198#898—34no—
199#897—32no—
200#897—32no—
201#895—32no—
202#895—32no—
203#894—34no—
204#894—34no—
205#893—32no—
206#893—31no—
207#893—34no—
208#893—31no—
209#892—34no—
210#892—32no—
211#892—34no—
212#892—32no—
213#892—32no—
214#892—31no—
215#892—32no—
216#892—32no—
217D3×C4⋊C4—31no—
218#890—34no—
219#890—32no—
220#887—32no—
221#886—34no—
222#886—34no—
223#882—34no—
224#67⋊C4—34no—
225#67⋊C4—32no—
226D3×C22⋊C4—32no—
227#877—34no—
228#875—32no—
229C4×D12—32no—
230C4×D12—31no—
231C4×D12—31no—
232C42×D3—32no—
233C42×D3—31no—
234#869—31no—
235C4×Dic6—32no—
236C23×C9C2412yes—
237C22×D9—24no—
238C22×D9—24no—
239C22×D9—42no—
240C22×D9C2412yes—
241C22×D9C2412yes—
242C22×D9C2411yescharacteristic
243Q8×C9—22no—
244Q8×C9—42no—
245D4×C9#4114yescomplemented
246C2×C4×C9—24no—
247C2×C4×C9—44no—
248C2×C4×C9C2412yes—
249C2×C4×C9C2414yes—
250C2×C4×C9C2412yes—
251C2×C4×C9C2411yescharacteristic
252C2×C4×C9C2412yes—
253C2×C4×C9C2411yescharacteristic
254C2×C4×C9C2411yescharacteristic
255#611—24no—
256#611—28no—
257C2×Dic9—28no—
258C2×Dic9—24no—
259C2×Dic9C2411yescharacteristic
260C2×Dic9C2412yes—
261C2×Dic9C2412yes—
262C2×Dic9C2411yescharacteristic
263C2×Dic9C2414yes—
264C2×Dic9C2411yescharacteristic
265D36—24no—
266D36—22no—
267D36—22no—
268D36—44no—
269C4×D9—24no—
270C4×D9—24no—
271C4×D9—22no—
272C4×D9—24no—
273C4×D9—24no—
274C4×D9—24no—
275C4×D9—42no—
276C4×D9—41no—
277C4×D9#4114yescomplemented
278Dic18—24no—
279#556—91no—
280#555—91no—
281#554D911yescharacteristic, complemented
282#553—92no—
283#552—92no—
284#552—92no—
285#551—94no—
286#547—91no—
287#546—92no—
288#533—91no—
289#529—92no—
290#529—94no—
291#525—92no—
292C4×#41—91no—
293C4×#41—92no—
294C2×C4×D4—91no—
295C2×#117—92no—
296C23×D3—32no—
297C2×C3×Q8C22×D311yescharacteristic
298C2×C3×Q8C22×D312yes—
299C2×C3×D4C22×D311yescharacteristic
300C22×C3×C4C22×D312yes—
301C22×C3×C4C22×D314yes—
302C2×#67—34no—
303C2×#67—32no—
304C22×Dic3—34no—
305C22×Dic3—32no—
306#239—64no—
307#237—68no—
308D3×D4—64no—
309C2×D12—31no—
310C2×D12—32no—
311C2×D12—31no—
312C2×D12—34no—
313C2×C4×D3—31no—
314C2×C4×D3—31no—
315C2×C4×D3—32no—
316C2×C4×D3—32no—
317C2×C4×D3—32no—
318C2×C4×D3—32no—
319C2×C4×D3—32no—
320C2×C4×D3—31no—
321C2×C4×D3—32no—
322C2×C4×D3—68no—
323C2×Dic6—32no—
324C3×C4⋊C4C22×D312yes—
325C3×C4⋊C4C22×D312yes—
326C3×C4⋊C4C22×D314yes—
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D314yes—
330C3×C4⋊C4C22×D312yes—
331C3×C22⋊C4C22×D314yes—
332C3×C22⋊C4C22×D312yes—
333C3×C42C22×D312yes—
334C3×C42C22×D311yescharacteristic
335#217—32no—
336(C2×D3)⋊C4—32no—
337(C2×D3)⋊C4—32no—
338(C2×D3)⋊C4—32no—
339(C2×D3)⋊C4—32no—
340(C2×D3)⋊C4—34no—
341(C2×D3)⋊C4—34no—
342(C2×D3)⋊C4—32no—
343(C2×D3)⋊C4—34no—
344(C2×D3)⋊C4—34no—
345(C2×D3)⋊C4—34no—
346(C2×D3)⋊C4—34no—
347C4⋊Dic3—31no—
348C4⋊Dic3—32no—
349C4⋊Dic3—32no—
350C4⋊Dic3—32no—
351C4⋊Dic3—31no—
352C4⋊Dic3—34no—
353C4⋊Dic3—34no—
354Dic3⋊C4—34no—
355Dic3⋊C4—34no—
356Dic3⋊C4—32no—
357C4×Dic3—34no—
358C4×Dic3—31no—
359C4×Dic3—32no—
360C4×Dic3—31no—
361C4×Dic3—31no—
362C4×Dic3—32no—
363C4×Dic3—34no—
364C4×Dic3—34no—
365C22×C9—22no—
366C22×C9—22no—
367C22×C9C2×#4114yes—
368C22×C9C2511yescharacteristic
369C2×D9—21no—
370C2×D9—21no—
371C2×D9—22no—
372C2×D9—22no—
373C2×D9—22no—
374C2×D9—22no—
375C2×D9—22no—
376C2×D9—22no—
377C2×D9—48no—
378C2×D9C2×#4112yes—
379C4×C9—22no—
380C4×C9—22no—
381C4×C9—22no—
382C4×C9—21no—
383C4×C9—24no—
384C4×C9C2×#4112yes—
385C4×C9C2×#4112yes—
386Dic9—24no—
387Dic9—22no—
388Dic9—22no—
389Dic9—21no—
390Dic9—21no—
391Dic9C2×#4112yes—
392C2×#41—91no—
393C2×#41—92no—
394C22×D4—91no—
395C23×C4—92no—
396C4⋊Q8—91no—
397C4⋊Q8C2×D911yescharacteristic, complemented
398#126—94no—
399#126—94no—
400#126—94no—
401#125—94no—
402#125—92no—
403#125C2×D912yescomplemented
404#124—94no—
405#124—92no—
406#123—94no—
407#123—94no—
408#123—94no—
409#123—94no—
410C22⋊Q8—92no—
411C22⋊Q8—92no—
412C22⋊Q8—92no—
413C22⋊Q8—92no—
414C22⋊Q8C2×D912yescomplemented
415C22⋊Q8C2×D914yescomplemented
416#121—92no—
417#121—94no—
418#121—92no—
419#121—92no—
420#120—94no—
421C4×Q8—91no—
422C4×Q8—92no—
423C4×Q8—92no—
424C4×Q8—92no—
425C4×Q8C2×D911yescharacteristic, complemented
426C4×D4—91no—
427C4×D4—92no—
428C4×D4—94no—
429C4×D4—91no—
430C4×D4—92no—
431C4×D4—91no—
432C4×D4—94no—
433C4×D4—92no—
434C4×D4—94no—
435C4×D4—91no—
436C4×D4—92no—
437C4×D4—91no—
438C4×D4C2×D911yescharacteristic
439C4×D4C2×D912yes—
440#117—91no—
441#117—92no—
442#117—94no—
443#117—94no—
444#117—92no—
445#117—92no—
446#117—92no—
447#117—92no—
448#117—94no—
449C2×C4⋊C4—92no—
450C2×C4⋊C4—91no—
451C2×C4⋊C4C2×D912yescomplemented
452C2×C22⋊C4—94no—
453C2×C22⋊C4—92no—
454C2×C42—94no—
455C2×C42—91no—
456C2×C42—92no—
457C23×C3C23×D312yes—
458C22×D3—31no—
459C22×D3—32no—
460C22×D3—32no—
461C22×D3—64no—
462C22×D3—64no—
463C22×D3—122no—
464C3×Q8—22no—
465C3×Q8—42no—
466C3×D4#23914yes—
467C2×C3×C4—24no—
468C2×C3×C4—44no—
469C2×C3×C4C23×D312yes—
470C2×C3×C4C23×D314yes—
471C2×C3×C4C23×D312yes—
472C2×C3×C4C23×D311yescharacteristic
473C2×C3×C4C23×D312yes—
474C2×C3×C4C23×D311yescharacteristic
475C2×C3×C4C23×D311yescharacteristic
476#67—64no—
477#67—68no—
478C2×Dic3—31no—
479C2×Dic3—31no—
480C2×Dic3—32no—
481C2×Dic3—32no—
482C2×Dic3—31no—
483C2×Dic3—34no—
484C2×Dic3—64no—
485C2×Dic3—68no—
486D12—64no—
487D12—62no—
488D12—62no—
489D12—124no—
490C4×D3—34no—
491C4×D3—64no—
492C4×D3—64no—
493C4×D3—64no—
494C4×D3—62no—
495C4×D3—64no—
496C4×D3—64no—
497C4×D3—122no—
498C4×D3—121no—
499Dic6—64no—
500C2×C9—24no—
501C2×C9C22×#4111yescharacteristic
502C2×C9C22×#4111yescharacteristic
503C2×C9#58511yescharacteristic
504D9—22no—
505D9—42no—
506D9—42no—
507C24—92no—
508#41—184no—
509#41—188no—
510C2×Q8—92no—
511C2×Q8C22×D911yescharacteristic
512C2×Q8C22×D912yes—
513C2×D4—94no—
514C2×D4—92no—
515C2×D4—92no—
516C2×D4—91no—
517C2×D4—91no—
518C2×D4—94no—
519C2×D4—184no—
520C2×D4C22×D911yescharacteristic
521C22×C4—91no—
522C22×C4—92no—
523C22×C4—94no—
524C22×C4—91no—
525C22×C4—92no—
526C22×C4—92no—
527C22×C4—92no—
528C22×C4—92no—
529C22×C4—92no—
530C22×C4—91no—
531C22×C4—92no—
532C22×C4—188no—
533C22×C4C22×D912yes—
534C22×C4C22×D914yes—
535C4⋊C4—91no—
536C4⋊C4—91no—
537C4⋊C4—92no—
538C4⋊C4—94no—
539C4⋊C4—92no—
540C4⋊C4—94no—
541C4⋊C4—94no—
542C4⋊C4—92no—
543C4⋊C4—94no—
544C4⋊C4—92no—
545C4⋊C4C22×D911yescharacteristic
546C4⋊C4C22×D911yescharacteristic
547C4⋊C4C22×D912yes—
548C4⋊C4C22×D914yes—
549C4⋊C4C22×D912yes—
550C4⋊C4C22×D912yes—
551C4⋊C4C22×D914yes—
552C22⋊C4—92no—
553C22⋊C4—92no—
554C22⋊C4—94no—
555C22⋊C4—94no—
556C22⋊C4—94no—
557C22⋊C4—92no—
558C22⋊C4—92no—
559C22⋊C4—92no—
560C22⋊C4—94no—
561C22⋊C4—92no—
562C22⋊C4—94no—
563C22⋊C4—94no—
564C22⋊C4C22×D912yes—
565C22⋊C4C22×D914yes—
566C42—92no—
567C42—91no—
568C42—94no—
569C42—94no—
570C42—91no—
571C42—92no—
572C42—94no—
573C42—91no—
574C42C22×D911yescharacteristic
575C42C22×D912yes—
576C22×C3—22no—
577C22×C3—22no—
578C22×C3C2×#23914yes—
579C22×C3C24×D311yescharacteristic
580C2×D3—32no—
581C2×D3—61no—
582C2×D3—61no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—62no—
587C2×D3—62no—
588C2×D3—62no—
589C2×D3—128no—
590C3×C4—22no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—21no—
594C3×C4—24no—
595C3×C4C2×#23912yes—
596C3×C4D3×#4112yes—
597Dic3—32no—
598Dic3—64no—
599Dic3—62no—
600Dic3—61no—
601Dic3—62no—
602Dic3—61no—
603C9#347511yescharacteristic, complemented, Sylow
604C23—91no—
605C23—92no—
606C23—92no—
607C23—184no—
608C23—184no—
609C23—362no—
610C23C23×D912yes—
611Q8—22no—
612Q8—42no—
613Q8—184no—
614D4—184no—
615D4—184no—
616D4—188no—
617D4—182no—
618D4—182no—
619D4—364no—
620D4#370114yescomplemented
621C2×C4—24no—
622C2×C4—44no—
623C2×C4—91no—
624C2×C4—94no—
625C2×C4—92no—
626C2×C4—92no—
627C2×C4—91no—
628C2×C4—94no—
629C2×C4—91no—
630C2×C4—184no—
631C2×C4—184no—
632C2×C4—184no—
633C2×C4—184no—
634C2×C4—188no—
635C2×C4—182no—
636C2×C4—184no—
637C2×C4—184no—
638C2×C4—362no—
639C2×C4—361no—
640C2×C4C23×D912yes—
641C2×C4C23×D914yes—
642C2×C4C23×D911yescharacteristic
643C2×C4C23×D912yes—
644C2×C4C23×D912yes—
645C2×C4C23×D911yescharacteristic
646C2×C4C23×D911yescharacteristic
647C2×C3—24no—
648C2×C3C22×#23911yescharacteristic
649C2×C3C2×D3×#4111yescharacteristic
650C2×C3#596611yescharacteristic
651D3—62no—
652D3—122no—
653D3—122no—
654C22—22no—
655C22—22no—
656C22—92no—
657C22—181no—
658C22—181no—
659C22—182no—
660C22—182no—
661C22—182no—
662C22—182no—
663C22—182no—
664C22—182no—
665C22—368no—
666C22C2×#370114yes—
667C22C24×D911yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—24no—
672C4—21no—
673C4—92no—
674C4—182no—
675C4—181no—
676C4—184no—
677C4—182no—
678C4—181no—
679C4C2×#370112yes—
680C4#41×D912yes—
681C3#8692211yescharacteristic
682C2—24no—
683C2—182no—
684C2—362no—
685C2—362no—
686C2C22×#370111yescharacteristic
687C2C2×#41×D911yescharacteristic
688C2#1059314111yescharacteristic
subgroupG/H
centerC22C24×D9
commutator, cosocleC22×C9C25
Frattini, socleC22×C3C24×D3
FittingC9×#554C2
hypercenter#554D9
hypocenterC9#3475
LCSG ▷ C22×C9 ▷ C9
UCSC1 ◁ C22 ◁ #554

Complements

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

NH ≅ G/Ntype
1. C9×#554C2semidirect
2. #10589836C2semidirect
3. #10589830C2semidirect
4. #10589796C2semidirect
5. #10589793C2semidirect
6. #10589744C2semidirect
7. #10589739C2semidirect
8. #10589729C2semidirect
9. #10589726C2semidirect
10. #10589686C2semidirect
11. C4×#3701C2semidirect
12. #10589657C2semidirect
13. #10589656C2semidirect
14. C4×D4×D9C2semidirect
15. C4×#3699C2semidirect
16. #10589616C2semidirect
17. C2×#63454C2semidirect
23. C9×C4⋊Q8C22semidirect
24. C9×#125C22semidirect
25. C9×C22⋊Q8C22semidirect
26. C9×C22⋊Q8C22semidirect
27. C4×Q8×C9C22semidirect
30. C2×C9×C4⋊C4C22semidirect
31. #63509C22semidirect
33. #63508C22semidirect
34. Q8×Dic9C22semidirect
35. Q8×Dic9C22semidirect
38. #63492C22semidirect
40. C4×#611C22semidirect
42. C2×C4⋊Dic9C22semidirect
43. C2×C4×Dic9C22semidirect
44. #63460C22semidirect
45. #63460C22semidirect
46. #63460C22semidirect
48. #63459C22semidirect
50. #63457C22semidirect
52. #63456C22semidirect
55. #63455C22semidirect
56. #63455C22semidirect
60. #63454C22semidirect
61. #63454C22semidirect
62. #63454C22semidirect
63. #63454C22semidirect
64. #63454C22semidirect
66. #63452C22semidirect
67. #63452C22semidirect
68. #63449C22semidirect
70. #63448C22semidirect
73. #611⋊C4C22semidirect
75. #63439C22semidirect
79. C4×D36C22semidirect
81. C42×D9C22semidirect
82. #63431C22semidirect
83. C4×Dic18C22semidirect
245. D4×C9#41semidirect
277. C4×D9#41semidirect
281. #554D9semidirect
397. C4⋊Q8C2×D9semidirect
403. #125C2×D9semidirect
414. C22⋊Q8C2×D9semidirect
415. C22⋊Q8C2×D9semidirect
425. C4×Q8C2×D9semidirect
451. C2×C4⋊C4C2×D9semidirect
603. C9#3475semidirect
620. D4#3701semidirect

Maximal subgroups

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

subgroupindex
C9×#5542
#105898362
#105898302
#105897962
#105897932
#105897442
#105897392
#105897292
#105897262
#105896862
C4×#37012
#105896572
#105896562
C4×D4×D92
C4×#36992
#105896162
C2×#634542
#869223