Finite Group Databasebeta

← #11803297

Subgroups — #11803297

Order 1152.

1869 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#953C211yesmaximal, characteristic
2C22×C3×#217C211yesmaximal, characteristic, complemented
3C2×Dic3×#67C211yesmaximal, characteristic, complemented
4#10592946C211yesmaximal, characteristic, complemented
5#10591721C212yesmaximal, complemented
6#10591718C211yesmaximal, characteristic, complemented
7#10591710C211yesmaximal, characteristic, complemented
8#10591707C212yesmaximal, complemented
9#10591702C212yesmaximal, complemented
10#10591701C212yesmaximal, complemented
11Dic3×#217C211yesmaximal, characteristic, complemented
12#82578—31nomaximal
13#82096—31nomaximal
14C25×C32C2211yescharacteristic
15C22×C3×#67C2211yescharacteristic
16C22×C3×#67C2212yes—
17C23×C3×Dic3C2211yescharacteristic
18C23×C3×Dic3C2211yescharacteristic
19C22×D3×Dic3C2211yescharacteristic, complemented
20C2×#3757C2211yescharacteristic
21C2×#3757C2211yescharacteristic
22C2×#3757C2212yes—
23C2×#3757C2212yes—
24C3×#953C418yescomplemented
25C2×C3×#217—24no—
26C2×C3×#217C2212yes—
27C2×C3×#217C2212yes—
28C2×C3×#217C2211yescharacteristic
29C2×C3×#217C2212yes—
30Dic3×#67—24no—
31C2×Dic3⋊Dic3C2211yescharacteristic, complemented
32C2×Dic3⋊Dic3C2212yescomplemented
33C2×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
34C2×(C2×D3)⋊Dic3C2212yescomplemented
35C2×Dic32C2211yescharacteristic, complemented
36C2×Dic32C2212yescomplemented
37#63579C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C2×C3×#120—31no—
41C22×C3×C22⋊C4—31no—
42C2×#953D311yescharacteristic
43C22×#217D311yescharacteristic, complemented
44C2×D4×Dic3—31no—
45C2×C4×#67—31no—
46#5247—31no—
47#5247—31no—
48#5247—61no—
49#5221—32no—
50#5220—31no—
51#5220—32no—
52#5213—31no—
53#5210—31no—
54C4×#217—31no—
55#4957—32no—
56#4956—32no—
57#4951—32no—
58#4951—32no—
59#4950—31no—
60#4945—32no—
61#4944—32no—
62Dic3×C22⋊C4—31no—
63C24×C32—22no—
64C24×C32—22no—
65C24×C32—42no—
66C24×C32—42no—
67C24×C32C2×C414yescomplemented
68C24×C32C2312yes—
69C24×C32C2311yescharacteristic
70C23×C3×D3C2311yescharacteristic
71C22×C3⋊Dic3C2311yescharacteristic
72C22×C3⋊Dic3C2312yes—
73C22×C3⋊Dic3C2311yescharacteristic
74C2×C3×#67—22no—
75C2×C3×#67—22no—
76C2×C3×#67—42no—
77C2×C3×#67—42no—
78C2×C3×#67C2×C414yes—
79C2×C3×#67C2×C418yescomplemented
80C22×C3×Dic3—22no—
81C22×C3×Dic3—42no—
82C22×C3×Dic3—42no—
83C22×C3×Dic3D414yescomplemented
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C2×D3×Dic3—22no—
90C2×D3×Dic3—42no—
91#3757—22no—
92#3757—22no—
93#3757—42no—
94#3757—42no—
95C3×#217—24no—
96C3×#217—24no—
97C3×#217C2×C418yescomplemented
98C3×#217C2×C414yescomplemented
99Dic3⋊Dic3—22no—
100Dic3⋊Dic3—42no—
101(C2×D3)⋊Dic3—22no—
102(C2×D3)⋊Dic3—42no—
103Dic32—22no—
104Dic32—42no—
105#2321—91noSylow
106C25×C3—21no—
107C25×C3C2×D311yescharacteristic
108C25×C3C2×D311yescharacteristic
109C22×C3×D4—31no—
110C22×C3×D4—32no—
111C23×C3×C4—31no—
112C23×C3×C4—31no—
113C22×#67C2×D311yescharacteristic
114C22×#67C2×D312yes—
115C23×Dic3—31no—
116C23×Dic3C2×D311yescharacteristic
117C23×Dic3C2×D311yescharacteristic
118C22×C4×D3—31no—
119C3×#120—38no—
120C2×C3×C22⋊C4—31no—
121C2×C3×C22⋊C4—32no—
122C2×C3×C22⋊C4—32no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—64no—
125#953Dic318yescomplemented
126C2×#217—24no—
127C2×#217—31no—
128C2×#217—31no—
129C2×#217—31no—
130C2×#217—31no—
131C2×#217—31no—
132C2×#217—32no—
133C2×#217—32no—
134C2×#217—32no—
135C2×#217—32no—
136C2×#217—32no—
137C2×#217—61no—
138C2×#217—61no—
139C2×#217—62no—
140C2×#217—62no—
141C2×#217C2×D312yes—
142C2×#217C2×D312yes—
143C2×#217C2×D312yes—
144C2×#217C2×D311yescharacteristic
145D4×Dic3—64no—
146C4×#67—64no—
147C2×(C2×D3)⋊C4—31no—
148C2×(C2×D3)⋊C4—32no—
149C2×C4⋊Dic3—31no—
150C2×C4⋊Dic3—32no—
151C2×Dic3⋊C4—31no—
152C2×Dic3⋊C4—32no—
153C2×C4×Dic3—31no—
154C2×C4×Dic3—31no—
155C2×C4×Dic3—32no—
156C2×C4×Dic3—32no—
157C3⋊#95—32no—
158C3⋊#95—32no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—32no—
162C3⋊#95—32no—
163C23×C32—22no—
164C23×C32—22no—
165C23×C32—22no—
166C23×C32—22no—
167C23×C32—28no—
168C23×C32—22no—
169C23×C32—22no—
170C23×C32—22no—
171C23×C32—22no—
172C23×C32—48no—
173C23×C32—44no—
174C23×C32—44no—
175C23×C32—48no—
176C23×C32C22×C414yes—
177C23×C32C22×C412yes—
178C23×C32C2×D412yes—
179C23×C32#4112yes—
180C23×C32C2411yescharacteristic
181C22×C3×D3—21no—
182C22×C3×D3—21no—
183C22×C3×D3—22no—
184C22×C3×D3—22no—
185C22×C3×D3C22×C412yes—
186C2×C3⋊Dic3—21no—
187C2×C3⋊Dic3—21no—
188C2×C3⋊Dic3—22no—
189C2×C3⋊Dic3—22no—
190C2×C3⋊Dic3—22no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—22no—
193C3×#67—28no—
194C3×#67—48no—
195C2×C3×Dic3—21no—
196C2×C3×Dic3—21no—
197C2×C3×Dic3—22no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—44no—
205C2×C3×Dic3—44no—
206C2×C3×Dic3C22×C412yes—
207C2×C3×Dic3C22×C414yes—
208C2×C3×Dic3C2×D412yes—
209C2×C3×Dic3C2×D412yes—
210D3×Dic3—44no—
211C2×#120—31no—
212C2×C4×D4—91no—
213C22×C22⋊C4—31no—
214#390—92no—
215#388—92no—
216#388—92no—
217#386—92no—
218#386—91no—
219#385—91no—
220#379—91no—
221C4×C22⋊C4—91no—
222C24×C3—22no—
223C24×C3—22no—
224C24×C3—22no—
225C24×C3—22no—
226C24×C3—24no—
227C24×C3—22no—
228C24×C3—21no—
229C24×C3—31no—
230C24×C3—42no—
231C24×C3—42no—
232C24×C3—42no—
233C24×C3—42no—
234C24×C3—42no—
235C24×C3—42no—
236C24×C3—44no—
237C24×C3—44no—
238C24×C3C4×D314yescomplemented
239C24×C3C2×Dic314yescomplemented
240C24×C3C22×D312yes—
241C24×C3C22×D312yes—
242C24×C3C22×D311yescharacteristic
243C24×C3C22×D311yescharacteristic
244C23×D3C22×D311yescharacteristic
245C2×C3×D4—34no—
246C2×C3×D4—38no—
247C2×C3×D4—62no—
248C2×C3×D4—62no—
249C2×C3×D4—122no—
250C2×C3×D4—122no—
251C22×C3×C4—31no—
252C22×C3×C4—32no—
253C22×C3×C4—31no—
254C22×C3×C4—31no—
255C22×C3×C4—34no—
256C22×C3×C4—32no—
257C22×C3×C4—62no—
258C22×C3×C4—122no—
259C22×C3×C4—122no—
260C2×#67—22no—
261C2×#67—22no—
262C2×#67—42no—
263C2×#67—42no—
264C2×#67C2×Dic314yes—
265C2×#67C2×Dic318yescomplemented
266C22×Dic3—22no—
267C22×Dic3—32no—
268C22×Dic3—32no—
269C22×Dic3—31no—
270C22×Dic3—31no—
271C22×Dic3—31no—
272C22×Dic3—31no—
273C22×Dic3—42no—
274C22×Dic3—42no—
275C22×Dic3—62no—
276C22×Dic3—61no—
277C22×Dic3—61no—
278C22×Dic3—62no—
279C22×Dic3—122no—
280C22×Dic3#6714yescomplemented
281C22×Dic3C22×D312yes—
282C22×Dic3C22×D311yescharacteristic
283C22×Dic3C22×D312yes—
284C22×Dic3C22×D311yescharacteristic
285C22×Dic3C22×D311yescharacteristic
286C2×C4×D3—62no—
287C2×C4×D3—122no—
288C3×C22⋊C4—38no—
289C3×C22⋊C4—34no—
290C3×C22⋊C4—64no—
291C3×C22⋊C4—64no—
292#217—24no—
293#217—24no—
294#217—62no—
295#217—62no—
296#217—62no—
297#217—62no—
298#217—62no—
299#217—122no—
300#217—122no—
301#217—122no—
302#217—122no—
303#217—122no—
304#217—122no—
305#217—122no—
306#217—124no—
307#217—124no—
308#217C2×Dic318yescomplemented
309#217C2×Dic314yescomplemented
310(C2×D3)⋊C4—62no—
311(C2×D3)⋊C4—122no—
312C4⋊Dic3—62no—
313C4⋊Dic3—122no—
314Dic3⋊C4—62no—
315Dic3⋊C4—122no—
316C4×Dic3—62no—
317C4×Dic3—62no—
318C4×Dic3—122no—
319C4×Dic3—122no—
320C22×C32—24no—
321C22×C32—24no—
322C22×C32—22no—
323C22×C32—22no—
324C22×C32—24no—
325C22×C32—24no—
326C22×C32—24no—
327C22×C32—416no—
328C22×C32—42no—
329C22×C32—42no—
330C22×C32—42no—
331C22×C32—42no—
332C22×C32C4×D414yes—
333C22×C32C23×C411yescharacteristic
334C22×C32C22×D411yescharacteristic
335C22×C32C2×#4111yescharacteristic
336C22×C32H(5,𝔽2)12yes—
337C22×C32H(5,𝔽2)12yes—
338C2×C3×D3—22no—
339C2×C3×D3—24no—
340C2×C3×D3—41no—
341C2×C3×D3—41no—
342C2×C3×D3—42no—
343C3⋊Dic3—41no—
344C3⋊Dic3—41no—
345C3⋊Dic3—42no—
346C3×Dic3—22no—
347C3×Dic3—24no—
348C3×Dic3—22no—
349C3×Dic3—22no—
350C3×Dic3—42no—
351C25D3211yescharacteristic
352C22×D4—31no—
353C22×D4—32no—
354C23×C4—31no—
355C23×C4—31no—
356C23×C4—91no—
357#120—38no—
358C4×D4—184no—
359C2×C4⋊C4—91no—
360C2×C4⋊C4—92no—
361C2×C22⋊C4—31no—
362C2×C22⋊C4—32no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—64no—
366C2×C22⋊C4—91no—
367C2×C22⋊C4—91no—
368C2×C22⋊C4—91no—
369C2×C22⋊C4—92no—
370C2×C22⋊C4—92no—
371C2×C22⋊C4—92no—
372C2×C42—91no—
373C2×C42—92no—
374#95—92no—
375#95—92no—
376#95—92no—
377C23×C3—22no—
378C23×C3—22no—
379C23×C3—22no—
380C23×C3—22no—
381C23×C3—24no—
382C23×C3—24no—
383C23×C3—28no—
384C23×C3—28no—
385C23×C3—22no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3—22no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—21no—
398C23×C3—24no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—32no—
403C23×C3—42no—
404C23×C3—42no—
405C23×C3—42no—
406C23×C3—42no—
407C23×C3—42no—
408C23×C3—42no—
409C23×C3—48no—
410C23×C3—48no—
411C23×C3—48no—
412C23×C3—416no—
413C23×C3—48no—
414C23×C3—44no—
415C23×C3—44no—
416C23×C3—44no—
417C23×C3—44no—
418C23×C3—48no—
419C23×C3—416no—
420C23×C3—48no—
421C23×C3—48no—
422C23×C3—61no—
423C23×C3—62no—
424C23×C3—62no—
425C23×C3—61no—
426C23×C3C2×C4×D314yes—
427C23×C3C2×C4×D312yes—
428C23×C3#23512yes—
429C23×C3D3×D412yes—
430C23×C3#23712yes—
431C23×C3C22×Dic314yes—
432C23×C3C22×Dic312yes—
433C23×C3C2×#6712yes—
434C23×C3C23×D311yescharacteristic
435C23×C3C23×D311yescharacteristic
436C22×D3—21no—
437C22×D3—21no—
438C22×D3—22no—
439C22×D3—22no—
440C22×D3C22×Dic312yes—
441C3×D4—68no—
442C3×D4—128no—
443C2×C3×C4—34no—
444C2×C3×C4—32no—
445C2×C3×C4—32no—
446C2×C3×C4—32no—
447C2×C3×C4—61no—
448C2×C3×C4—62no—
449C2×C3×C4—62no—
450C2×C3×C4—62no—
451C2×C3×C4—62no—
452C2×C3×C4—61no—
453C2×C3×C4—62no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—124no—
457C2×C3×C4—124no—
458#67—28no—
459#67—48no—
460C2×Dic3—21no—
461C2×Dic3—21no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—44no—
470C2×Dic3—44no—
471C2×Dic3—62no—
472C2×Dic3—61no—
473C2×Dic3—61no—
474C2×Dic3—62no—
475C2×Dic3—62no—
476C2×Dic3—62no—
477C2×Dic3—62no—
478C2×Dic3—62no—
479C2×Dic3—62no—
480C2×Dic3—62no—
481C2×Dic3—62no—
482C2×Dic3—62no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C2×Dic3—122no—
486C2×Dic3—121no—
487C2×Dic3—121no—
488C2×Dic3—122no—
489C2×Dic3—122no—
490C2×Dic3—122no—
491C2×Dic3—122no—
492C2×Dic3—124no—
493C2×Dic3C22×Dic312yes—
494C2×Dic3C22×Dic314yes—
495C2×Dic3C2×#6712yes—
496C2×Dic3C2×#6712yes—
497C4×D3—124no—
498C2×C32—24no—
499C2×C32—44no—
500C2×C32C2×C4×D411yescharacteristic
501C2×C32#51812yes—
502C2×C32#53411yescharacteristic
503C2×C32#53511yescharacteristic
504C2×C32#53812yes—
505C3×D3—42no—
506C24—22no—
507C24—22no—
508C24—31no—
509C24—42no—
510C24—42no—
511C24D3×Dic314yescomplemented
512C24C2×D3212yes—
513C24C2×D3211yescharacteristic
514C2×D4—34no—
515C2×D4—38no—
516C2×D4—62no—
517C2×D4—62no—
518C2×D4—122no—
519C2×D4—122no—
520C22×C4—31no—
521C22×C4—32no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—34no—
525C22×C4—32no—
526C22×C4—62no—
527C22×C4—92no—
528C22×C4—91no—
529C22×C4—91no—
530C22×C4—122no—
531C22×C4—122no—
532C22×C4—182no—
533C22×C4—362no—
534C4⋊C4—182no—
535C4⋊C4—362no—
536C22⋊C4—38no—
537C22⋊C4—34no—
538C22⋊C4—64no—
539C22⋊C4—64no—
540C22⋊C4—182no—
541C22⋊C4—182no—
542C22⋊C4—182no—
543C22⋊C4—362no—
544C22⋊C4—362no—
545C22⋊C4—362no—
546C42—182no—
547C42—362no—
548C22×C3—24no—
549C22×C3—24no—
550C22×C3—24no—
551C22×C3—22no—
552C22×C3—22no—
553C22×C3—22no—
554C22×C3—22no—
555C22×C3—24no—
556C22×C3—28no—
557C22×C3—24no—
558C22×C3—24no—
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—24no—
563C22×C3—21no—
564C22×C3—21no—
565C22×C3—21no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—24no—
569C22×C3—44no—
570C22×C3—44no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—44no—
574C22×C3—44no—
575C22×C3—416no—
576C22×C3—416no—
577C22×C3—44no—
578C22×C3—44no—
579C22×C3—44no—
580C22×C3—44no—
581C22×C3—432no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3—42no—
588C22×C3—42no—
589C22×C3—42no—
590C22×C3—64no—
591C22×C3—62no—
592C22×C3—122no—
593C22×C3—121no—
594C22×C3—121no—
595C22×C3C4×#6714yes—
596C22×C3D4×Dic314yes—
597C22×C3C22×C4×D311yescharacteristic
598C22×C3C2×#23511yescharacteristic
599C22×C3C2×D3×D411yescharacteristic
600C22×C3C2×#23711yescharacteristic
601C22×C3#100412yes—
602C22×C3#100412yes—
603C22×C3#100412yes—
604C22×C3#100412yes—
605C22×C3C23×Dic311yescharacteristic
606C22×C3C22×#6711yescharacteristic
607C2×D3—22no—
608C2×D3—24no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—42no—
612C3×C4—64no—
613C3×C4—62no—
614C3×C4—62no—
615C3×C4—62no—
616C3×C4—122no—
617Dic3—22no—
618Dic3—24no—
619Dic3—22no—
620Dic3—22no—
621Dic3—42no—
622Dic3—122no—
623Dic3—121no—
624Dic3—121no—
625Dic3—121no—
626Dic3—121no—
627Dic3—122no—
628Dic3—242no—
629Dic3—241no—
630Dic3—241no—
631C32#232111yescharacteristic, complemented, Sylow
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—28no—
641C23—32no—
642C23—48no—
643C23—48no—
644C23—44no—
645C23—44no—
646C23—61no—
647C23—61no—
648C23—62no—
649C23—62no—
650C23C2×D3×Dic314yes—
651C23C2×D3×Dic312yes—
652C23#380412yes—
653C23D3×#6712yes—
654C23C22×D3211yescharacteristic
655D4—68no—
656D4—128no—
657C2×C4—32no—
658C2×C4—34no—
659C2×C4—32no—
660C2×C4—32no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—124no—
671C2×C4—124no—
672C2×C4—182no—
673C2×C4—181no—
674C2×C4—181no—
675C2×C4—182no—
676C2×C4—182no—
677C2×C4—182no—
678C2×C4—182no—
679C2×C4—364no—
680C2×C3—24no—
681C2×C3—24no—
682C2×C3—21no—
683C2×C3—22no—
684C2×C3—22no—
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—44no—
688C2×C3—48no—
689C2×C3—44no—
690C2×C3—44no—
691C2×C3—122no—
692C2×C3#548612yes—
693C2×C3#549412yes—
694C2×C3#558911yescharacteristic
695C2×C3#559211yescharacteristic
696C2×C3#559312yes—
697C2×C3C2×C4×#6711yescharacteristic
698C2×C3C2×D4×Dic311yescharacteristic
699C2×C3#579812yes—
700C2×C3#580411yescharacteristic
701C2×C3#580511yescharacteristic
702D3—42no—
703C22—24no—
704C22—24no—
705C22—22no—
706C22—22no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—416no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—62no—
716C22—64no—
717C22—122no—
718C22—121no—
719C22—121no—
720C22Dic3×#6714yes—
721C22C22×D3×Dic311yescharacteristic
722C22C2×#380411yescharacteristic
723C22C2×D3×#6711yescharacteristic
724C22#6433012yes—
725C22#6433012yes—
726C4—62no—
727C4—64no—
728C4—62no—
729C4—62no—
730C4—122no—
731C4—362no—
732C4—361no—
733C4—361no—
734C3—21no—
735C3#8209611yescharacteristic, complemented
736C3#8257811yescharacteristic, complemented
737C2—24no—
738C2—44no—
739C2—122no—
740C2C2×Dic3×#6711yescharacteristic
741C2#1059550612yes—
742C2#1059550712yes—
743C2#1059551311yescharacteristic
744C2#1059552411yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC25×C32C22
socle, cosocleC23×C32C24
prime radicalC2×C3×#953C2
hypercenterC25D32
hypocenterC32#2321
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C25

Complements

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

NH ≅ G/Ntype
2. C22×C3×#217C2semidirect
3. C2×Dic3×#67C2semidirect
4. #10592946C2semidirect
5. #10591721C2semidirect
6. #10591718C2semidirect
7. #10591710C2semidirect
8. #10591707C2semidirect
9. #10591702C2semidirect
10. #10591701C2semidirect
11. Dic3×#217C2semidirect
19. C22×D3×Dic3C22semidirect
24. C3×#953C4semidirect
31. C2×Dic3⋊Dic3C22semidirect
32. C2×Dic3⋊Dic3C22semidirect
33. C2×(C2×D3)⋊Dic3C22semidirect
34. C2×(C2×D3)⋊Dic3C22semidirect
35. C2×Dic32C22semidirect
36. C2×Dic32C22semidirect
37. #63579C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
43. C22×#217D3semidirect
67. C24×C32C2×C4semidirect
79. C2×C3×#67C2×C4semidirect
83. C22×C3×Dic3D4semidirect
97. C3×#217C2×C4semidirect
98. C3×#217C2×C4semidirect
125. #953Dic3semidirect
238. C24×C3C4×D3semidirect
239. C24×C3C2×Dic3semidirect
265. C2×#67C2×Dic3semidirect
280. C22×Dic3#67semidirect
308. #217C2×Dic3semidirect
309. #217C2×Dic3semidirect
511. C24D3×Dic3semidirect
631. C32#2321semidirect
735. C3#82096semidirect
736. C3#82578semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#9532
C22×C3×#2172
C2×Dic3×#672
#105929462
#105917212
#105917182
#105917102
#105917072
#105917022
#105917012
Dic3×#2172
#825783
#820963