Finite Group Databasebeta

← #11903450

Subgroups — #11903450

Order 1152.

3396 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
1C32×#555C211yesmaximal, characteristic, complemented
2#10596201C211yesmaximal, characteristic, complemented
3#10596199C211yesmaximal, characteristic, complemented
4#10596151C214yesmaximal, complemented
5#10596150C214yesmaximal, complemented
6#10596085C212yesmaximal, complemented
7#10596083C212yesmaximal, complemented
8#10596077C212yesmaximal, complemented
9#10596071C212yesmaximal, complemented
10#10596022C211yesmaximal, characteristic, complemented
11C4×D4×C3⋊D3C211yesmaximal, characteristic, complemented
12#10596013C211yesmaximal, characteristic, complemented
13C4×#3830C211yesmaximal, characteristic, complemented
14#10596000C212yesmaximal, complemented
15#10596000C212yesmaximal, complemented
16#10595993C212yesmaximal, complemented
17C3⋊D3×#117C212yesmaximal, complemented
18#86958—34nomaximal
19C2×#3830C2211yescharacteristic
20C2×D4×C3⋊D3C2211yescharacteristic
21C2×#3828C2212yes—
22C22×C4×C3⋊D3C2212yes—
23C32×C4⋊Q8C2211yescharacteristic, complemented
24C32×#124C2214yescomplemented
25C32×#121C2212yes—
26C32×#121C2212yescomplemented
27C32×C4×D4C2211yescharacteristic
28C32×C4×D4C2211yescharacteristic, complemented
29C32×#117C2212yescomplemented
30C32×#117C2212yescomplemented
31#64155C2212yes—
32#64155C2214yescomplemented
33Q8×C3⋊Dic3C2212yescomplemented
34#64147C2214yes—
35#64147C2212yescomplemented
36#64146C2214yes—
37#64145C2212yes—
38#64144C2214yescomplemented
39D4×C3⋊Dic3C2211yescharacteristic
40D4×C3⋊Dic3C2214yescomplemented
41D4×C3⋊Dic3C2211yescharacteristic, complemented
42C4×#638C2212yes—
43C4×#638C2212yes—
44#64135C2212yescomplemented
45#64133C2212yescomplemented
46#64133C2212yescomplemented
47C2×C4×C3⋊Dic3C2212yescomplemented
48#64106C2212yes—
49#64106C2212yescomplemented
50#64102C2212yes—
51#64102C2211yescharacteristic
52#64101C2212yes—
53#64101C2211yescharacteristic
54C4⋊C4×C3⋊D3C2211yescharacteristic
55C4⋊C4×C3⋊D3C2212yescomplemented
56C4⋊C4×C3⋊D3C2212yescomplemented
57#64099C2212yescomplemented
58#64099C2212yescomplemented
59#64096C2212yescomplemented
60#64096C2212yescomplemented
61#64096C2211yescharacteristic, complemented
62#64092C2214yes—
63#64092C2214yes—
64#64092C2214yescomplemented
65#64090C2212yes—
66#64090C2212yes—
67#64090C2214yescomplemented
68#64090C2214yescomplemented
69C22⋊C4×C3⋊D3C2212yes—
70C22⋊C4×C3⋊D3C2214yes—
71#64088C2214yescomplemented
72#64088C2214yescomplemented
73#64088C2214yescomplemented
74#64086C2212yescomplemented
75#64086C2214yescomplemented
76C4×C4⋊(C3⋊D3)C2211yescharacteristic
77#64081C2214yes—
78#64081C2214yescomplemented
79C42×C3⋊D3C2211yescharacteristic
80C42×C3⋊D3C2214yescomplemented
81#64079C2214yescomplemented
82#64078C2211yescharacteristic, complemented
83C4×#634C2211yescharacteristic, complemented
84C3×#555D314yescomplemented
85#5730—34no—
86#5728—34no—
87#5680—316no—
88#5679—316no—
89#5614—38no—
90#5612—38no—
91#5606—38no—
92#5600—38no—
93#5551—34no—
94C4×D3×D4—34no—
95#5542—34no—
96C4×#237—34no—
97#5529—38no—
98#5529—38no—
99#5522—38no—
100D3×#117—38no—
101C23×C3⋊D3C2312yes—
102C2×C32×Q8C2312yes—
103C2×C32×D4C2311yescharacteristic
104C2×C32×D4C2311yescharacteristic
105C2×C32×D4C2314yes—
106C22×C32×C4C2312yes—
107C22×C32×C4C2312yes—
108C2×#638C2312yes—
109C2×#638C2312yes—
110C2×#638C2314yes—
111C22×C3⋊Dic3C2312yes—
112C22×C3⋊Dic3C2312yes—
113C22×C3⋊Dic3C2312yes—
114#3830—24no—
115D4×C3⋊D3—24no—
116#3828—28no—
117C2×C4⋊(C3⋊D3)C2311yescharacteristic
118C2×C4×C3⋊D3—28no—
119C2×C4×C3⋊D3C2311yescharacteristic
120C2×C4×C3⋊D3C2312yes—
121C2×C4×C3⋊D3C2314yes—
122C2×C4×C3⋊D3C2312yes—
123C2×C4×C3⋊D3C2312yes—
124C2×C4×C3⋊D3C2311yescharacteristic
125C2×C4×C3⋊D3C2314yes—
126C2×C4×C3⋊D3C2311yescharacteristic
127C2×#634C2311yescharacteristic
128C2×#634C2312yes—
129C32×C4⋊C4C2311yescharacteristic
130C32×C4⋊C4C2312yes—
131C32×C4⋊C4C2311yescharacteristic
132C32×C4⋊C4C2312yes—
133C32×C22⋊C4C2314yes—
134C32×C22⋊C4C2312yes—
135C32×C22⋊C4C2312yes—
136C32×C22⋊C4C2314yes—
137C32×C42C2311yescharacteristic
138C32×C42C2314yes—
139#3757C2312yes—
140#3757C2314yes—
141#3757C2312yes—
142#3757C2314yes—
143#3757C2314yes—
144#3752C2312yes—
145#3752C2314yes—
146#3752C2312yes—
147#3752C2314yes—
148#3752C2312yes—
149C4⋊(C3⋊Dic3)C2311yescharacteristic
150C4⋊(C3⋊Dic3)C2312yes—
151C4⋊(C3⋊Dic3)C2312yes—
152C4⋊(C3⋊Dic3)C2314yes—
153C4⋊(C3⋊Dic3)C2314yes—
154C4⋊(C3⋊Dic3)C2311yescharacteristic
155#3750C2312yes—
156#3750C2312yes—
157#3750C2312yes—
158#3750C2314yes—
159#3750C2314yes—
160#3750C2314yes—
161#3750C2314yes—
162C4×C3⋊Dic3C2312yes—
163C4×C3⋊Dic3C2311yescharacteristic
164C4×C3⋊Dic3C2311yescharacteristic
165C4×C3⋊Dic3C2311yescharacteristic
166C4×C3⋊Dic3C2312yes—
167C4×C3⋊Dic3C2314yes—
168C4×C3⋊Dic3C2314yes—
169C4×C3⋊Dic3C2312yes—
170#3475—91noSylow
171C2×#237—34no—
172C2×D3×D4—34no—
173C2×#235—38no—
174C22×C4×D3—38no—
175C3×C4⋊Q8C2×D314yescomplemented
176C3×#124C2×D3116yescomplemented
177C3×#121C2×D318yes—
178C3×#121C2×D318yescomplemented
179C3×C4×D4C2×D314yes—
180C3×C4×D4C2×D314yescomplemented
181C3×#117C2×D318yescomplemented
182C3×#117C2×D318yescomplemented
183#946—38no—
184#946—316no—
185Q8×Dic3—38no—
186#938—316no—
187#938—38no—
188#937—316no—
189#936—38no—
190#935—316no—
191D4×Dic3—316no—
192D4×Dic3—34no—
193D4×Dic3—34no—
194C4×#67—38no—
195C4×#67—38no—
196#926—38no—
197#924—38no—
198#924—38no—
199C2×C4×Dic3—38no—
200#897—38no—
201#897—38no—
202#893—38no—
203#893—34no—
204#892—38no—
205#892—34no—
206D3×C4⋊C4—38no—
207D3×C4⋊C4—34no—
208D3×C4⋊C4—38no—
209#890—38no—
210#890—38no—
211#887—38no—
212#887—38no—
213#887—34no—
214#883—316no—
215#883—316no—
216#883—316no—
217#67⋊C4—38no—
218#67⋊C4—316no—
219#67⋊C4—38no—
220#67⋊C4—316no—
221D3×C22⋊C4—38no—
222D3×C22⋊C4—316no—
223#879—316no—
224#879—316no—
225#879—316no—
226#877—38no—
227#877—316no—
228C4×D12—34no—
229#872—316no—
230#872—316no—
231C42×D3—316no—
232C42×D3—34no—
233#870—316no—
234#869—34no—
235C4×Dic6—34no—
236C23×C32C2412yes—
237C23×C32C2412yes—
238C22×C3⋊D3—24no—
239C22×C3⋊D3—24no—
240C22×C3⋊D3—42no—
241C22×C3⋊D3C2411yescharacteristic
242C22×C3⋊D3C2412yes—
243C32×Q8—42no—
244C32×D4—22no—
245C32×D4—22no—
246C32×D4—44no—
247C2×C32×C4—24no—
248C2×C32×C4—24no—
249C2×C32×C4C2412yes—
250C2×C32×C4C2412yes—
251C2×C32×C4C2411yescharacteristic
252C2×C32×C4C2414yes—
253C2×C32×C4C2411yescharacteristic
254C2×C32×C4C2411yescharacteristic
255#638—28no—
256#638—24no—
257#638—24no—
258C2×C3⋊Dic3—24no—
259C2×C3⋊Dic3—24no—
260C2×C3⋊Dic3—42no—
261C2×C3⋊Dic3C2411yescharacteristic
262C2×C3⋊Dic3C2412yes—
263C2×C3⋊Dic3C2411yescharacteristic
264C2×C3⋊Dic3C2412yes—
265C2×C3⋊Dic3C2414yes—
266C2×C3⋊Dic3C2412yes—
267C2×C3⋊Dic3C2411yescharacteristic
268C4⋊(C3⋊D3)#4114yescomplemented
269C4×C3⋊D3—24no—
270C4×C3⋊D3—28no—
271C4×C3⋊D3—24no—
272C4×C3⋊D3—22no—
273C4×C3⋊D3—24no—
274C4×C3⋊D3—44no—
275C4×C3⋊D3—41no—
276C4×C3⋊D3#4114yescomplemented
277#634—24no—
278#634—22no—
279#556—91no—
280#555C3⋊D311yescharacteristic, complemented
281#554—91no—
282#553—92no—
283#552—92no—
284#552—92no—
285#551—94no—
286#547—91no—
287#546—92no—
288#533—91no—
289#529—94no—
290#529—92no—
291#525—92no—
292C4×#41—91no—
293C4×#41—92no—
294C2×C4×D4—91no—
295C2×#117—92no—
296C23×D3—38no—
297C2×C3×Q8C22×D318yes—
298C2×C3×D4C22×D314yes—
299C2×C3×D4C22×D314yes—
300C2×C3×D4C22×D3116yes—
301C22×C3×C4C22×D318yes—
302C22×C3×C4C22×D318yes—
303C2×#67—316no—
304C2×#67—38no—
305C2×#67—38no—
306C22×Dic3—38no—
307C22×Dic3—38no—
308C22×Dic3—38no—
309#237—616no—
310D3×D4—616no—
311#235—632no—
312C2×D12—34no—
313C2×C4×D3—34no—
314C2×C4×D3—38no—
315C2×C4×D3—316no—
316C2×C4×D3—34no—
317C2×C4×D3—38no—
318C2×C4×D3—38no—
319C2×C4×D3—34no—
320C2×C4×D3—316no—
321C2×C4×D3—632no—
322C2×Dic6—34no—
323C2×Dic6—38no—
324C3×C4⋊C4C22×D314yes—
325C3×C4⋊C4C22×D318yes—
326C3×C4⋊C4C22×D314yes—
327C3×C4⋊C4C22×D318yes—
328C3×C22⋊C4C22×D3116yes—
329C3×C22⋊C4C22×D318yes—
330C3×C22⋊C4C22×D318yes—
331C3×C22⋊C4C22×D3116yes—
332C3×C42C22×D314yes—
333C3×C42C22×D3116yes—
334#217—38no—
335#217—316no—
336#217—38no—
337#217—316no—
338#217—316no—
339(C2×D3)⋊C4—38no—
340(C2×D3)⋊C4—38no—
341(C2×D3)⋊C4—316no—
342(C2×D3)⋊C4—316no—
343(C2×D3)⋊C4—38no—
344C4⋊Dic3—34no—
345C4⋊Dic3—38no—
346C4⋊Dic3—38no—
347C4⋊Dic3—316no—
348C4⋊Dic3—316no—
349C4⋊Dic3—34no—
350Dic3⋊C4—38no—
351Dic3⋊C4—38no—
352Dic3⋊C4—38no—
353Dic3⋊C4—316no—
354Dic3⋊C4—316no—
355Dic3⋊C4—316no—
356Dic3⋊C4—316no—
357C4×Dic3—38no—
358C4×Dic3—38no—
359C4×Dic3—316no—
360C4×Dic3—34no—
361C4×Dic3—316no—
362C4×Dic3—34no—
363C4×Dic3—34no—
364C4×Dic3—38no—
365C22×C32—22no—
366C22×C32—22no—
367C22×C32—22no—
368C22×C32—22no—
369C22×C32—22no—
370C22×C32—22no—
371C22×C32C2511yescharacteristic
372C2×C3⋊D3—22no—
373C2×C3⋊D3—21no—
374C2×C3⋊D3—22no—
375C2×C3⋊D3—21no—
376C2×C3⋊D3—48no—
377C2×C3⋊D3C2×#4112yes—
378C2×C3⋊D3C2×#4114yes—
379C32×C4—22no—
380C32×C4—22no—
381C32×C4—24no—
382C32×C4—21no—
383C32×C4C2×#4112yes—
384C32×C4C2×#4112yes—
385C3⋊Dic3—24no—
386C3⋊Dic3—22no—
387C3⋊Dic3—22no—
388C3⋊Dic3—21no—
389C3⋊Dic3—22no—
390C3⋊Dic3—21no—
391C3⋊Dic3C2×#4112yes—
392C2×#41—91no—
393C2×#41—92no—
394C22×D4—91no—
395C23×C4—92no—
396C4⋊Q8—91no—
397C4⋊Q8C2×C3⋊D311yescharacteristic, complemented
398#126—94no—
399#126—94no—
400#126—94no—
401#125—92no—
402#125—92no—
403#125—94no—
404#124—92no—
405#124C2×C3⋊D314yescomplemented
406#123—94no—
407#123—94no—
408#123—94no—
409#123—94no—
410C22⋊Q8—94no—
411C22⋊Q8—92no—
412C22⋊Q8—92no—
413C22⋊Q8—92no—
414C22⋊Q8—92no—
415C22⋊Q8—92no—
416#121—92no—
417#121—94no—
418#121C2×C3⋊D312yes—
419#121C2×C3⋊D312yescomplemented
420#120—94no—
421C4×Q8—92no—
422C4×Q8—92no—
423C4×Q8—91no—
424C4×Q8—92no—
425C4×Q8—91no—
426C4×D4—91no—
427C4×D4—91no—
428C4×D4—94no—
429C4×D4—92no—
430C4×D4—92no—
431C4×D4—91no—
432C4×D4—92no—
433C4×D4—92no—
434C4×D4—94no—
435C4×D4—92no—
436C4×D4—94no—
437C4×D4—91no—
438C4×D4C2×C3⋊D311yescharacteristic
439C4×D4C2×C3⋊D311yescharacteristic, complemented
440#117—92no—
441#117—91no—
442#117—92no—
443#117—94no—
444#117—92no—
445#117—94no—
446#117—94no—
447#117C2×C3⋊D312yescomplemented
448#117C2×C3⋊D312yescomplemented
449C2×C4⋊C4—92no—
450C2×C4⋊C4—92no—
451C2×C4⋊C4—91no—
452C2×C22⋊C4—94no—
453C2×C22⋊C4—92no—
454C2×C42—92no—
455C2×C42—94no—
456C2×C42—91no—
457C23×C3C23×D318yes—
458C23×C3C23×D318yes—
459C22×D3—34no—
460C22×D3—38no—
461C22×D3—616no—
462C22×D3—616no—
463C22×D3—128no—
464C3×Q8—48no—
465C3×D4—28no—
466C3×D4—28no—
467C3×D4—416no—
468C2×C3×C4—216no—
469C2×C3×C4—216no—
470C2×C3×C4C23×D318yes—
471C2×C3×C4C23×D318yes—
472C2×C3×C4C23×D314yes—
473C2×C3×C4C23×D3116yes—
474C2×C3×C4C23×D314yes—
475C2×C3×C4C23×D314yes—
476#67—632no—
477#67—616no—
478#67—616no—
479C2×Dic3—34no—
480C2×Dic3—34no—
481C2×Dic3—38no—
482C2×Dic3—34no—
483C2×Dic3—38no—
484C2×Dic3—316no—
485C2×Dic3—38no—
486C2×Dic3—616no—
487C2×Dic3—616no—
488C2×Dic3—128no—
489D12—316no—
490C4×D3—316no—
491C4×D3—616no—
492C4×D3—616no—
493C4×D3—632no—
494C4×D3—616no—
495C4×D3—68no—
496C4×D3—1216no—
497C4×D3—124no—
498Dic6—616no—
499Dic6—68no—
500C2×C32—42no—
501C2×C32—42no—
502C2×C32C22×#4111yescharacteristic
503C2×C32C22×#4111yescharacteristic
504C2×C32#58511yescharacteristic
505C3⋊D3—22no—
506C3⋊D3—24no—
507C24—92no—
508#41—188no—
509#41—184no—
510C2×Q8—91no—
511C2×Q8—92no—
512C2×Q8C22×C3⋊D312yes—
513C2×D4—92no—
514C2×D4—94no—
515C2×D4—92no—
516C2×D4—91no—
517C2×D4—184no—
518C2×D4C22×C3⋊D311yescharacteristic
519C2×D4C22×C3⋊D311yescharacteristic
520C2×D4C22×C3⋊D314yes—
521C22×C4—91no—
522C22×C4—92no—
523C22×C4—92no—
524C22×C4—92no—
525C22×C4—92no—
526C22×C4—94no—
527C22×C4—91no—
528C22×C4—92no—
529C22×C4—92no—
530C22×C4—91no—
531C22×C4—94no—
532C22×C4—188no—
533C22×C4C22×C3⋊D312yes—
534C22×C4C22×C3⋊D312yes—
535C4⋊C4—91no—
536C4⋊C4—92no—
537C4⋊C4—94no—
538C4⋊C4—94no—
539C4⋊C4—91no—
540C4⋊C4—92no—
541C4⋊C4—92no—
542C4⋊C4—94no—
543C4⋊C4—94no—
544C4⋊C4—92no—
545C4⋊C4—94no—
546C4⋊C4—94no—
547C4⋊C4—92no—
548C4⋊C4C22×C3⋊D311yescharacteristic
549C4⋊C4C22×C3⋊D312yes—
550C4⋊C4C22×C3⋊D311yescharacteristic
551C4⋊C4C22×C3⋊D312yes—
552C22⋊C4—94no—
553C22⋊C4—92no—
554C22⋊C4—92no—
555C22⋊C4—94no—
556C22⋊C4—94no—
557C22⋊C4—92no—
558C22⋊C4—92no—
559C22⋊C4—94no—
560C22⋊C4—92no—
561C22⋊C4—94no—
562C22⋊C4C22×C3⋊D314yes—
563C22⋊C4C22×C3⋊D312yes—
564C22⋊C4C22×C3⋊D312yes—
565C22⋊C4C22×C3⋊D314yes—
566C42—92no—
567C42—91no—
568C42—94no—
569C42—91no—
570C42—92no—
571C42—94no—
572C42—91no—
573C42—92no—
574C42C22×C3⋊D314yes—
575C42C22×C3⋊D311yescharacteristic
576C22×C3—28no—
577C22×C3—28no—
578C22×C3—28no—
579C22×C3—28no—
580C22×C3—28no—
581C22×C3—28no—
582C22×C3C24×D314yes—
583C2×D3—38no—
584C2×D3—316no—
585C2×D3—68no—
586C2×D3—64no—
587C2×D3—68no—
588C2×D3—64no—
589C2×D3—1232no—
590C3×C4—28no—
591C3×C4—28no—
592C3×C4—216no—
593C3×C4—24no—
594C3×C4D3×#4118yes—
595C3×C4D3×#4118yes—
596Dic3—38no—
597Dic3—616no—
598Dic3—68no—
599Dic3—68no—
600Dic3—64no—
601Dic3—68no—
602Dic3—64no—
603C32#347511yescharacteristic, complemented, Sylow
604C23—91no—
605C23—92no—
606C23—184no—
607C23—184no—
608C23—362no—
609C23C23×C3⋊D312yes—
610C23C23×C3⋊D312yes—
611Q8—42no—
612Q8—182no—
613Q8—184no—
614D4—22no—
615D4—22no—
616D4—44no—
617D4—94no—
618D4—184no—
619D4—188no—
620D4—184no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—91no—
624C2×C4—94no—
625C2×C4—92no—
626C2×C4—91no—
627C2×C4—94no—
628C2×C4—92no—
629C2×C4—91no—
630C2×C4—92no—
631C2×C4—184no—
632C2×C4—184no—
633C2×C4—188no—
634C2×C4—184no—
635C2×C4—184no—
636C2×C4—184no—
637C2×C4—182no—
638C2×C4—364no—
639C2×C4—361no—
640C2×C4—362no—
641C2×C4C23×C3⋊D312yes—
642C2×C4C23×C3⋊D312yes—
643C2×C4C23×C3⋊D311yescharacteristic
644C2×C4C23×C3⋊D314yes—
645C2×C4C23×C3⋊D311yescharacteristic
646C2×C4C23×C3⋊D311yescharacteristic
647C2×C3—48no—
648C2×C3—48no—
649C2×C3C2×D3×#4114yes—
650C2×C3C2×D3×#4114yes—
651C2×C3#596614yes—
652D3—68no—
653D3—616no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—92no—
661C22—94no—
662C22—182no—
663C22—181no—
664C22—182no—
665C22—181no—
666C22—368no—
667C22C24×C3⋊D311yescharacteristic
668C4—22no—
669C4—22no—
670C4—24no—
671C4—21no—
672C4—92no—
673C4—182no—
674C4—181no—
675C4—182no—
676C4—184no—
677C4—182no—
678C4—181no—
679C4#41×C3⋊D312yes—
680C4#41×C3⋊D312yes—
681C3#8695814yescomplemented
682C2—42no—
683C2—42no—
684C2—182no—
685C2—184no—
686C2C2×#41×C3⋊D311yescharacteristic
687C2C2×#41×C3⋊D311yescharacteristic
688C2#1059675811yescharacteristic
subgroupG/H
center, FrattiniC22C24×C3⋊D3
commutator, socle, cosocleC22×C32C25
FittingC32×#555C2
hypercenter#555C3⋊D3
hypocenterC32#3475
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ #555

Complements

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

NH ≅ G/Ntype
1. C32×#555C2semidirect
2. #10596201C2semidirect
3. #10596199C2semidirect
4. #10596151C2semidirect
5. #10596150C2semidirect
6. #10596085C2semidirect
7. #10596083C2semidirect
8. #10596077C2semidirect
9. #10596071C2semidirect
10. #10596022C2semidirect
11. C4×D4×C3⋊D3C2semidirect
12. #10596013C2semidirect
13. C4×#3830C2semidirect
14. #10596000C2semidirect
15. #10596000C2semidirect
16. #10595993C2semidirect
17. C3⋊D3×#117C2semidirect
23. C32×C4⋊Q8C22semidirect
24. C32×#124C22semidirect
26. C32×#121C22semidirect
28. C32×C4×D4C22semidirect
29. C32×#117C22semidirect
30. C32×#117C22semidirect
32. #64155C22semidirect
33. Q8×C3⋊Dic3C22semidirect
35. #64147C22semidirect
38. #64144C22semidirect
40. D4×C3⋊Dic3C22semidirect
41. D4×C3⋊Dic3C22semidirect
44. #64135C22semidirect
45. #64133C22semidirect
46. #64133C22semidirect
47. C2×C4×C3⋊Dic3C22semidirect
49. #64106C22semidirect
55. C4⋊C4×C3⋊D3C22semidirect
56. C4⋊C4×C3⋊D3C22semidirect
57. #64099C22semidirect
58. #64099C22semidirect
59. #64096C22semidirect
60. #64096C22semidirect
61. #64096C22semidirect
64. #64092C22semidirect
67. #64090C22semidirect
68. #64090C22semidirect
71. #64088C22semidirect
72. #64088C22semidirect
73. #64088C22semidirect
74. #64086C22semidirect
75. #64086C22semidirect
78. #64081C22semidirect
80. C42×C3⋊D3C22semidirect
81. #64079C22semidirect
82. #64078C22semidirect
83. C4×#634C22semidirect
84. C3×#555D3semidirect
175. C3×C4⋊Q8C2×D3semidirect
176. C3×#124C2×D3semidirect
178. C3×#121C2×D3semidirect
180. C3×C4×D4C2×D3semidirect
181. C3×#117C2×D3semidirect
182. C3×#117C2×D3semidirect
268. C4⋊(C3⋊D3)#41semidirect
276. C4×C3⋊D3#41semidirect
280. #555C3⋊D3semidirect
397. C4⋊Q8C2×C3⋊D3semidirect
405. #124C2×C3⋊D3semidirect
419. #121C2×C3⋊D3semidirect
439. C4×D4C2×C3⋊D3semidirect
447. #117C2×C3⋊D3semidirect
448. #117C2×C3⋊D3semidirect
603. C32#3475semidirect
681. C3#86958semidirect

Maximal subgroups

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

subgroupindex
C32×#5552
#105962012
#105961992
#105961512
#105961502
#105960852
#105960832
#105960772
#105960712
#105960222
C4×D4×C3⋊D32
#105960132
C4×#38302
#105960002
#105959932
C3⋊D3×#1172
#869583