Finite Group Databasebeta

← #11864203

Subgroups — #11864203

Order 1152.

1602 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#237C211yesmaximal, characteristic
2C2×#63929C212yesmaximal, complemented
3D3×#924C211yesmaximal, characteristic, complemented
4#10592917C211yesmaximal, characteristic, complemented
5C3×#5218C211yesmaximal, characteristic, complemented
6#10591463C212yesmaximal, complemented
7#10591461C212yesmaximal, complemented
8#10591414C212yesmaximal, complemented
9#10591186C211yesmaximal, characteristic, complemented
10#10591185C211yesmaximal, characteristic, complemented
11#10591154C211yesmaximal, characteristic, complemented
12#84084—31nomaximal
13#80147—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C22×C3×#67—21no—
16C23×C3×Dic3—21no—
17C2×C3×#237—28no—
18C2×C3×#237—21no—
19C2×C3×#237—21no—
20C2×C3×#237C2212yes—
21C2×C3×#237C2212yes—
22C22×C3×C4×D3C2211yescharacteristic
23C22×C3×Dic6C2211yescharacteristic
24C2×D3×Dic6C2211yescharacteristic, complemented
25C2×#3754C2212yescomplemented
26#64133C2211yescharacteristic
27C2×C3×#214C2212yescomplemented
28C3×#924C2211yescharacteristic
29D3×#217—21no—
30#63964—21no—
31#63929—28no—
32D3×C4⋊Dic3C2211yescharacteristic, complemented
33D3×Dic3⋊C4—21no—
34#63857C2211yescharacteristic, complemented
35#63856C2211yescharacteristic, complemented
36#63851—21no—
37C2×#3719C2212yescomplemented
38C2×#3718C2212yescomplemented
39C2×#3711C2212yescomplemented
40#63659C2212yescomplemented
41#63657C2211yescharacteristic
42C3×#832C2212yescomplemented
43C3×#830C2211yescharacteristic
44#63566C2212yescomplemented
45#63565C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C22×C3×#41—31no—
48C22×#237D311yescharacteristic
49C2×#951—32no—
50C2×#924—31no—
51C2×#915—32no—
52D3×C22⋊Q8—31no—
53C3×#450—31no—
54#5239—32no—
55#5239—32no—
56#5232—32no—
57#5228—31no—
58#5228—31no—
59#5218—31no—
60#5218—31no—
61#5218—61no—
62#5218D311yescharacteristic, complemented
63#5207—31no—
64#5173—32no—
65#5050—31no—
66#4783—32no—
67#4771—32no—
68#4739—31no—
69#4726—31no—
70C24×C32—21no—
71C23×C3×D3D411yescharacteristic
72C2×C32×D4—24no—
73C2×C32×D4—21no—
74C2×C32×D4C2312yes—
75C22×C32×C4C2311yescharacteristic
76C2×#634C2311yescharacteristic
77C2×C3×#67—28no—
78C2×C3×#67—22no—
79C2×C3×#67—22no—
80C22×C3×Dic3—28no—
81C22×C3×Dic3—21no—
82C22×C3×Dic3—22no—
83C22×C3×Dic3—22no—
84C22×C3×Dic3D411yescharacteristic
85C3×#237—28no—
86C3×#237—28no—
87C3×#237—24no—
88C3×#237—24no—
89C3×#237—24no—
90C3×#237D418yes—
91C2×C3×C4×D3—24no—
92C2×C3×C4×D3D411yescharacteristic
93C2×C3×C4×D3D411yescharacteristic
94C2×C3×C4×D3C2311yescharacteristic
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×Dic6—21no—
97C2×C3×Dic6—24no—
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2312yes—
100C2×#627—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103D3×Dic6—24no—
104#3757—21no—
105#3754—24no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108C2×C3⋊(C3⋊C8)C2312yes—
109C3×#217—21no—
110C3×#214—24no—
111C3×C4⋊Dic3C2311yescharacteristic
112C3×Dic3⋊C4—21no—
113C2×C3×C3⋊C8C2312yes—
114#3724—21no—
115Dic3⋊Dic3—21no—
116Dic3⋊Dic3—21no—
117(C2×D3)⋊Dic3—21no—
118(C2×D3)⋊Dic3—21no—
119#3719—24no—
120#3718—24no—
121#3711—24no—
122#3007—91noSylow
123C2×C3×#41—32no—
124C2×C3×#41—32no—
125C2×C3×#41—61no—
126C2×C3×#41—61no—
127C2×C3×#41—68no—
128C22×C3×Q8—31no—
129C22×C3×D4—21no—
130C22×C3×D4—61no—
131C22×C3×D4C2×D311yescharacteristic
132C22×C3×D4C2×D311yescharacteristic
133C23×C3×C4—31no—
134C23×C3×C4—61no—
135C22×#67—21no—
136C23×Dic3—21no—
137C2×D3×Q8—31no—
138C2×#237—28no—
139C2×#237—21no—
140C2×#237—21no—
141C2×#237C2×D312yes—
142C2×#237C2×D312yes—
143C22×C4×D3C2×D311yescharacteristic
144C22×Dic6—31no—
145C22×Dic6C2×D311yescharacteristic
146C2×C3×SD16—32no—
147C3×C22⋊Q8—31no—
148C2×#217—61no—
149#951—68no—
150#946—31no—
151C2×#216—32no—
152C2×#216—32no—
153C2×#216—32no—
154C2×#214—32no—
155C2×#214—32no—
156C2×#214—62no—
157C2×#214C2×D312yescomplemented
158C2×C4⋊Dic3—31no—
159#924—31no—
160#924—31no—
161#924—31no—
162#924—31no—
163#924—61no—
164#924—61no—
165#924—61no—
166#924C2×D311yescharacteristic
167C2×Dic3⋊C4—61no—
168C2×#208—32no—
169#915—68no—
170C2×Dic12—32no—
171C2×ΓL(1,𝔽25)—32no—
172#897—31no—
173#896—61no—
174D3×C4⋊C4—31no—
175D3×C4⋊C4—61no—
176D3×C22⋊C4—61no—
177#878—61no—
178C3×#102—32no—
179C3×C22⋊C8—31no—
180#835—32no—
181#835—32no—
182#832—32no—
183#832—32no—
184#832—62no—
185#832C2×D312yescomplemented
186#830—31no—
187#830—31no—
188#830—32no—
189#830—61no—
190#830C2×D311yescharacteristic
191(C2×D3)⋊C8—32no—
192#816—32no—
193#810—32no—
194C23×C32—24no—
195C23×C32—22no—
196C23×C32—42no—
197C23×C32—42no—
198C23×C32C2×D411yescharacteristic
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3—41no—
202C22×C3×D3C2×D411yescharacteristic
203C22×C3×D3C2×D411yescharacteristic
204C32×D4—24no—
205C32×D4—22no—
206C32×D4C2×D414yes—
207C2×C32×C4—22no—
208C2×C32×C4C2×D411yescharacteristic
209C2×C32×C4C2411yescharacteristic
210C2×C3⋊Dic3—21no—
211C2×C3⋊Dic3—21no—
212#634—22no—
213C3×#67—28no—
214C3×#67—28no—
215C2×C3×Dic3—24no—
216C2×C3×Dic3—28no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3—22no—
219C2×C3×Dic3—28no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—21no—
222C2×C3×Dic3C2×D411yescharacteristic
223C2×C3×Dic3C2×D411yescharacteristic
224C3×C4×D3—22no—
225C3×C4×D3—22no—
226C3×C4×D3—22no—
227C3×C4×D3C2×D414yes—
228C3×Dic6—24no—
229C3×Dic6—22no—
230C3×Dic6—22no—
231C3×Dic6C2×D414yes—
232#627—42no—
233D3×Dic3—42no—
234D3×Dic3—42no—
235C3⋊(C3⋊C8)—22no—
236C3×C3⋊C8—22no—
237C22×#41—31no—
238C2×#137—92no—
239C2×C22⋊Q8—91no—
240#452—92no—
241#452—92no—
242#451—91no—
243#451—91no—
244#450—31no—
245#450—91no—
246#417—92no—
247#407—91no—
248C24×C3—21no—
249C24×C3—21no—
250C24×C3—31no—
251C24×C3—41no—
252C23×D3#6711yescharacteristic
253C3×#41—38no—
254C3×#41—64no—
255C3×#41—64no—
256C3×#41—68no—
257C3×#41—68no—
258C3×#41—64no—
259C2×C3×Q8—32no—
260C2×C3×Q8—31no—
261C2×C3×Q8—64no—
262C2×C3×Q8—61no—
263C2×C3×D4—24no—
264C2×C3×D4—24no—
265C2×C3×D4—21no—
266C2×C3×D4—21no—
267C2×C3×D4—22no—
268C2×C3×D4—41no—
269C2×C3×D4—44no—
270C2×C3×D4—62no—
271C2×C3×D4—62no—
272C2×C3×D4—68no—
273C2×C3×D4C22×D312yes—
274C2×C3×D4C22×D312yes—
275C22×C3×C4—21no—
276C22×C3×C4—31no—
277C22×C3×C4—31no—
278C22×C3×C4—31no—
279C22×C3×C4—31no—
280C22×C3×C4—31no—
281C22×C3×C4—64no—
282C22×C3×C4—62no—
283C22×C3×C4—62no—
284C22×C3×C4—68no—
285C22×C3×C4—61no—
286C22×C3×C4C22×D311yescharacteristic
287C22×C3×C4C22×D311yescharacteristic
288C2×#67—28no—
289C2×#67—22no—
290C2×#67—22no—
291C22×Dic3—28no—
292C22×Dic3—21no—
293C22×Dic3—22no—
294C22×Dic3—22no—
295C22×Dic3—61no—
296C22×Dic3—61no—
297C22×Dic3#6711yescharacteristic
298D3×Q8—64no—
299#237—28no—
300#237—28no—
301#237—24no—
302#237—24no—
303#237—24no—
304#237#6718yes—
305C2×C4×D3—24no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3#6711yescharacteristic
309C2×C4×D3#6711yescharacteristic
310C2×C4×D3C22×D311yescharacteristic
311C2×C4×D3C22×D311yescharacteristic
312C2×Dic6—21no—
313C2×Dic6—24no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
317C2×Dic6—64no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6C22×D311yescharacteristic
321C2×Dic6C22×D312yes—
322C3×SD16—64no—
323C2×C3×C8—32no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—61no—
326C3×C22⋊C4—61no—
327#217—21no—
328#217—61no—
329#217—61no—
330#217—61no—
331#217—61no—
332#217—121no—
333#216—64no—
334#216—64no—
335#216—64no—
336#214—24no—
337#214—64no—
338#214—64no—
339#214—124no—
340(C2×D3)⋊C4—61no—
341(C2×D3)⋊C4—61no—
342C4⋊Dic3—31no—
343C4⋊Dic3—31no—
344C4⋊Dic3—61no—
345C4⋊Dic3—61no—
346C4⋊Dic3—61no—
347C4⋊Dic3C22×D311yescharacteristic
348Dic3⋊C4—21no—
349Dic3⋊C4—61no—
350Dic3⋊C4—61no—
351Dic3⋊C4—61no—
352Dic3⋊C4—61no—
353Dic3⋊C4—61no—
354Dic3⋊C4—61no—
355Dic3⋊C4—121no—
356#208—64no—
357C2×C3⋊C8—32no—
358C2×C3⋊C8—32no—
359C2×C3⋊C8—62no—
360C2×C3⋊C8C22×D312yes—
361Dic12—64no—
362ΓL(1,𝔽25)—64no—
363C22×C32—21no—
364C22×C32—21no—
365C22×C32—24no—
366C22×C32—48no—
367C22×C32—42no—
368C22×C32—42no—
369C22×C32#13712yescomplemented
370C22×C32C22×D411yescharacteristic
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—21no—
374C2×C3×D3—21no—
375C2×C3×D3—21no—
376C2×C3×D3—44no—
377C2×C3×D3#12012yes—
378C32×C4—21no—
379C32×C4C22×D412yes—
380C3⋊Dic3—41no—
381C3⋊Dic3—41no—
382C3×Dic3—24no—
383C3×Dic3—21no—
384C3×Dic3—41no—
385C3×Dic3—41no—
386C3×Dic3#12012yes—
387C2×#41—32no—
388C2×#41—32no—
389C2×#41—61no—
390C2×#41—61no—
391C2×#41—68no—
392C22×Q8—31no—
393C22×Q8—91no—
394C22×D4—61no—
395C22×D4D3211yescharacteristic
396C23×C4—31no—
397C23×C4—61no—
398#137—188no—
399C2×Q16—92no—
400C2×Q16—92no—
401C2×SD16—32no—
402C2×SD16—92no—
403C2×M16—92no—
404C22⋊Q8—31no—
405C22⋊Q8—91no—
406C22⋊Q8—91no—
407C22⋊Q8—91no—
408C22⋊Q8—181no—
409C22⋊Q8—181no—
410C2×C4⋊C4—91no—
411C2×C4⋊C4—181no—
412C2×C22⋊C4—181no—
413#103—92no—
414#103—92no—
415#102—32no—
416#102—92no—
417C22⋊C8—31no—
418C22⋊C8—92no—
419C22⋊C8—91no—
420C23×C3—24no—
421C23×C3—24no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—21no—
425C23×C3—31no—
426C23×C3—31no—
427C23×C3—42no—
428C23×C3—44no—
429C23×C3—42no—
430C23×C3—42no—
431C23×C3—42no—
432C23×C3—42no—
433C23×C3—62no—
434C23×C3—62no—
435C23×C3—82no—
436C23×C3—82no—
437C23×C3—121no—
438C23×C3D3×D411yescharacteristic
439C23×C3C2×#6711yescharacteristic
440C22×D3—22no—
441C22×D3—22no—
442C22×D3—41no—
443C22×D3C2×#6711yescharacteristic
444C22×D3C2×#6711yescharacteristic
445C3×Q8—34no—
446C3×Q8—64no—
447C3×Q8—62no—
448C3×Q8—62no—
449C3×D4—24no—
450C3×D4—24no—
451C3×D4—22no—
452C3×D4—22no—
453C3×D4—24no—
454C3×D4—42no—
455C3×D4—44no—
456C3×D4—68no—
457C3×D4—68no—
458C3×D4D3×D414yes—
459C3×D4C2×#6714yes—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—31no—
465C2×C3×C4—34no—
466C2×C3×C4—31no—
467C2×C3×C4—42no—
468C2×C3×C4—62no—
469C2×C3×C4—62no—
470C2×C3×C4—62no—
471C2×C3×C4—68no—
472C2×C3×C4—64no—
473C2×C3×C4—68no—
474C2×C3×C4—62no—
475C2×C3×C4—62no—
476C2×C3×C4—61no—
477C2×C3×C4—61no—
478C2×C3×C4D3×D411yescharacteristic
479C2×C3×C4C2×#6711yescharacteristic
480C2×C3×C4C23×D311yescharacteristic
481C2×C3×C4C23×D311yescharacteristic
482#67—28no—
483#67—28no—
484C2×Dic3—24no—
485C2×Dic3—28no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—28no—
489C2×Dic3—21no—
490C2×Dic3—21no—
491C2×Dic3—61no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—121no—
496C2×Dic3—121no—
497C2×Dic3—122no—
498C2×Dic3—122no—
499C2×Dic3C2×#6711yescharacteristic
500C2×Dic3C2×#6711yescharacteristic
501C4×D3—22no—
502C4×D3—22no—
503C4×D3—22no—
504C4×D3—122no—
505C4×D3—122no—
506C4×D3C2×#6714yes—
507Dic6—24no—
508Dic6—22no—
509Dic6—22no—
510Dic6—62no—
511Dic6—62no—
512Dic6—122no—
513Dic6—122no—
514Dic6—122no—
515Dic6C2×#6714yes—
516C3×C8—62no—
517C3⋊C8—22no—
518C3⋊C8—62no—
519C3⋊C8—62no—
520C3⋊C8—122no—
521C2×C32—22no—
522C2×C32—44no—
523C2×C32C2×#12011yescharacteristic
524C2×C32C2×#13711yescharacteristic
525C2×C32#57511yescharacteristic
526C3×D3—22no—
527C3×D3—41no—
528C24—21no—
529C24—31no—
530#41—38no—
531#41—64no—
532#41—64no—
533#41—68no—
534#41—68no—
535#41—64no—
536C2×Q8—32no—
537C2×Q8—31no—
538C2×Q8—64no—
539C2×Q8—61no—
540C2×Q8—91no—
541C2×Q8—181no—
542C2×Q8—184no—
543C2×D4—24no—
544C2×D4—21no—
545C2×D4—62no—
546C2×D4—62no—
547C2×D4—68no—
548C2×D4C2×D3212yes—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—64no—
555C22×C4—62no—
556C22×C4—62no—
557C22×C4—68no—
558C22×C4—61no—
559C22×C4—181no—
560C22×C4—181no—
561C22×C4C2×D3211yescharacteristic
562Q16—184no—
563Q16—184no—
564SD16—64no—
565SD16—184no—
566M16—184no—
567C2×C8—32no—
568C2×C8—92no—
569C4⋊C4—31no—
570C4⋊C4—61no—
571C4⋊C4—91no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C22⋊C4—61no—
577C22⋊C4—181no—
578C22⋊C4—181no—
579C22⋊C4—181no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3—24no—
585C22×C3—24no—
586C22×C3—21no—
587C22×C3—22no—
588C22×C3—32no—
589C22×C3—41no—
590C22×C3—41no—
591C22×C3—44no—
592C22×C3—48no—
593C22×C3—48no—
594C22×C3—42no—
595C22×C3—42no—
596C22×C3—42no—
597C22×C3—42no—
598C22×C3—61no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—82no—
604C22×C3—82no—
605C22×C3—88no—
606C22×C3—124no—
607C22×C3#91512yescomplemented
608C22×C3#95112yescomplemented
609C22×C3C2×D3×D411yescharacteristic
610C22×C3C22×#6711yescharacteristic
611C2×D3—21no—
612C2×D3—21no—
613C2×D3—21no—
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—44no—
617C2×D3#95312yes—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—22no—
621C3×C4—32no—
622C3×C4—41no—
623C3×C4—61no—
624C3×C4—64no—
625C3×C4—121no—
626C3×C4—121no—
627C3×C4C2×D3×D412yes—
628C3×C4C22×#6712yes—
629Dic3—24no—
630Dic3—21no—
631Dic3—41no—
632Dic3—41no—
633Dic3—121no—
634Dic3—121no—
635Dic3—121no—
636Dic3—121no—
637Dic3—241no—
638Dic3—241no—
639Dic3#95312yes—
640C32#300711yescharacteristic, complemented, Sylow
641C23—24no—
642C23—22no—
643C23—31no—
644C23—31no—
645C23—42no—
646C23—42no—
647C23—62no—
648C23—62no—
649C23—121no—
650C23D3×#6711yescharacteristic
651Q8—34no—
652Q8—64no—
653Q8—62no—
654Q8—62no—
655Q8—182no—
656Q8—362no—
657D4—24no—
658D4—22no—
659D4—68no—
660D4—68no—
661D4D3×#6714yes—
662C2×C4—22no—
663C2×C4—31no—
664C2×C4—34no—
665C2×C4—31no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—68no—
670C2×C4—64no—
671C2×C4—68no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4—362no—
679C2×C4—362no—
680C2×C4D3×#6711yescharacteristic
681C2×C4C22×D3211yescharacteristic
682C8—62no—
683C8—182no—
684C2×C3—22no—
685C2×C3—22no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—21no—
689C2×C3—42no—
690C2×C3—44no—
691C2×C3—44no—
692C2×C3—62no—
693C2×C3—84no—
694C2×C3—121no—
695C2×C3D3×#12011yescharacteristic
696C2×C3C2×#91511yescharacteristic
697C2×C3#577311yescharacteristic
698C2×C3#582211yescharacteristic
699C2×C3C2×#95111yescharacteristic
700C2×C3C2×#95311yescharacteristic
701D3—22no—
702D3—41no—
703C22—21no—
704C22—21no—
705C22—24no—
706C22—32no—
707C22—48no—
708C22—42no—
709C22—42no—
710C22—61no—
711C22—61no—
712C22—61no—
713C22—61no—
714C22—61no—
715C22—124no—
716C22#6392912yescomplemented
717C22C2×D3×#6711yescharacteristic
718C4—21no—
719C4—32no—
720C4—61no—
721C4—64no—
722C4—121no—
723C4—121no—
724C4—361no—
725C4—361no—
726C4C2×D3×#6712yes—
727C3—21no—
728C3#8014711yescharacteristic, complemented
729C3#8408411yescharacteristic, complemented
730C2—22no—
731C2—44no—
732C2—62no—
733C2—121no—
734C2#1059509511yescharacteristic
735C2C2×#6392911yescharacteristic
736C2D3×#95311yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
prime radicalC22×C3×#237C2
hypercenterC22×D4D32
hypocenterC32#3007
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
2. C2×#63929C2semidirect
3. D3×#924C2semidirect
4. #10592917C2semidirect
5. C3×#5218C2semidirect
6. #10591463C2semidirect
7. #10591461C2semidirect
8. #10591414C2semidirect
9. #10591186C2semidirect
10. #10591185C2semidirect
11. #10591154C2semidirect
24. C2×D3×Dic6C22semidirect
25. C2×#3754C22semidirect
27. C2×C3×#214C22semidirect
32. D3×C4⋊Dic3C22semidirect
34. #63857C22semidirect
35. #63856C22semidirect
37. C2×#3719C22semidirect
38. C2×#3718C22semidirect
39. C2×#3711C22semidirect
40. #63659C22semidirect
42. C3×#832C22semidirect
44. #63566C22semidirect
45. #63565C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
62. #5218D3semidirect
157. C2×#214C2×D3semidirect
185. #832C2×D3semidirect
369. C22×C32#137semidirect
607. C22×C3#915semidirect
608. C22×C3#951semidirect
640. C32#3007semidirect
716. C22#63929semidirect
728. C3#80147semidirect
729. C3#84084semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2372
C2×#639292
D3×#9242
#105929172
C3×#52182
#105914632
#105914612
#105914142
#105911862
#105911852
#105911542
#840843
#801473