Finite Group Databasebeta

← #11864208

Subgroups — #11864208

Order 1152.

1582 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#239C211yesmaximal, characteristic
2C2×#63943C212yesmaximal, complemented
3D3×#924C211yesmaximal, characteristic, complemented
4#10592927C211yesmaximal, characteristic, complemented
5C3×#5228C211yesmaximal, characteristic, complemented
6#10591599C212yesmaximal, complemented
7#10591597C212yesmaximal, complemented
8#10591550C212yesmaximal, complemented
9#10591172C211yesmaximal, characteristic, complemented
10#10591169C211yesmaximal, characteristic, complemented
11#10591154C211yesmaximal, characteristic, complemented
12#84084—31nomaximal
13#80184—31nomaximal
14C22×C32×Q8C2211yescharacteristic
15C2×C3×#239—28no—
16C2×C3×#239—21no—
17C2×C3×#239—21no—
18C2×C3×#239C2212yes—
19C2×C3×#239C2212yes—
20C22×C3×D12—21no—
21C22×C3×D12C2211yescharacteristic
22C22×C3×C4×D3—21no—
23C22×C3×C4×D3C2211yescharacteristic
24C2×D3×Dic6C2211yescharacteristic, complemented
25C2×#3756C2212yescomplemented
26#64133C2211yescharacteristic
27C2×C3×#216C2212yescomplemented
28C3×#924C2211yescharacteristic
29D3×#217—21no—
30#63964—21no—
31#63943—28no—
32D3×C4⋊Dic3C2211yescharacteristic, complemented
33D3×Dic3⋊C4—21no—
34#63857C2211yescharacteristic, complemented
35#63856C2211yescharacteristic, complemented
36#63851—21no—
37C2×#3716C2212yescomplemented
38C2×#3715C2212yescomplemented
39C2×#3711C2212yescomplemented
40#63662C2212yescomplemented
41#63657C2211yescharacteristic
42C3×#835C2212yescomplemented
43C3×#830C2211yescharacteristic
44#63563C2212yescomplemented
45#63562C2212yescomplemented
46(C2×D3)⋊(C3⋊C8)C2212yescomplemented
47C22×C3×#41—31no—
48C22×#239D311yescharacteristic
49C2×#951—32no—
50C2×#924—31no—
51C2×#918—32no—
52D3×C22⋊Q8—31no—
53C3×#451—31no—
54#5239—32no—
55#5239—32no—
56#5232—32no—
57#5228—31no—
58#5228—31no—
59#5228—61no—
60#5228D311yescharacteristic, complemented
61#5218—31no—
62#5218—31no—
63#5207—31no—
64#5187—32no—
65#5046—31no—
66#4808—32no—
67#4803—32no—
68#4731—31no—
69#4726—31no—
70C23×C3×D3—21no—
71C23×C3×D3D411yescharacteristic
72C2×C32×Q8—24no—
73C2×C32×Q8—21no—
74C2×C32×Q8C2312yes—
75C22×C32×C4—21no—
76C22×C32×C4C2311yescharacteristic
77C2×#634C2311yescharacteristic
78C22×C3×Dic3D411yescharacteristic
79C3×#239—28no—
80C3×#239—28no—
81C3×#239—24no—
82C3×#239—24no—
83C3×#239—24no—
84C3×#239D418yes—
85C2×C3×D12—28no—
86C2×C3×D12—22no—
87C2×C3×D12—22no—
88C2×C3×D12—21no—
89C2×C3×D12—24no—
90C2×C3×D12C2312yes—
91C2×C3×C4×D3—28no—
92C2×C3×C4×D3—22no—
93C2×C3×C4×D3—22no—
94C2×C3×C4×D3—24no—
95C2×C3×C4×D3D411yescharacteristic
96C2×C3×C4×D3D411yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103D3×Dic6—24no—
104#3757—21no—
105#3756—24no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108C2×C3⋊(C3⋊C8)C2312yes—
109C3×#217—21no—
110C3×#216—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#3716—24no—
120#3715—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—21no—
129C22×C3×Q8C2×D311yescharacteristic
130C22×C3×Q8C2×D311yescharacteristic
131C22×C3×D4—31no—
132C22×C3×D4—61no—
133C23×C3×C4—31no—
134C23×C3×C4—61no—
135C2×#239—28no—
136C2×#239—21no—
137C2×#239—21no—
138C2×#239C2×D312yes—
139C2×#239C2×D312yes—
140C2×D3×Q8—31no—
141C22×D12—21no—
142C22×D12C2×D311yescharacteristic
143C22×C4×D3—21no—
144C22×C4×D3C2×D311yescharacteristic
145C22×Dic6—31no—
146C2×C3×Q16—32no—
147C3×C22⋊Q8—31no—
148C2×#217—61no—
149#951—68no—
150#946—31no—
151C2×#216—32no—
152C2×#216—32no—
153C2×#216—62no—
154C2×#216C2×D312yescomplemented
155C2×#215—32no—
156C2×#214—32no—
157C2×#214—32no—
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#918—68no—
170C2×#204—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×#103—32no—
179C3×C22⋊C8—31no—
180#835—32no—
181#835—32no—
182#835—62no—
183#835C2×D312yescomplemented
184#832—32no—
185#832—32no—
186#830—31no—
187#830—31no—
188#830—32no—
189#830—61no—
190#830C2×D311yescharacteristic
191#821—32no—
192(C2×D3)⋊C8—32no—
193#809—32no—
194C23×C32C2×D411yescharacteristic
195C22×C3×D3—24no—
196C22×C3×D3—22no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—41no—
200C22×C3×D3—42no—
201C22×C3×D3—42no—
202C22×C3×D3C2×D411yescharacteristic
203C22×C3×D3C2×D411yescharacteristic
204C32×Q8—24no—
205C32×Q8—22no—
206C32×Q8C2×D414yes—
207C2×C32×C4—24no—
208C2×C32×C4—22no—
209C2×C32×C4—22no—
210C2×C32×C4C2×D411yescharacteristic
211C2×C32×C4C2411yescharacteristic
212C2×C3⋊Dic3—21no—
213C2×C3⋊Dic3—21no—
214#634—22no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3C2×D411yescharacteristic
219C2×C3×Dic3C2×D411yescharacteristic
220C3×D12—28no—
221C3×D12—24no—
222C3×D12—28no—
223C3×D12—22no—
224C3×D12C2×D414yes—
225C3×C4×D3—28no—
226C3×C4×D3—22no—
227C3×C4×D3—22no—
228C3×C4×D3—28no—
229C3×C4×D3—22no—
230C3×C4×D3C2×D414yes—
231C3×Dic6—22no—
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—31no—
243#451—91no—
244#450—91no—
245#450—91no—
246#417—92no—
247#407—91no—
248C24×C3—31no—
249C24×C3—61no—
250C23×D3—21no—
251C23×D3#6711yescharacteristic
252C3×#41—38no—
253C3×#41—64no—
254C3×#41—64no—
255C3×#41—68no—
256C3×#41—68no—
257C3×#41—64no—
258C2×C3×Q8—24no—
259C2×C3×Q8—24no—
260C2×C3×Q8—21no—
261C2×C3×Q8—21no—
262C2×C3×Q8—22no—
263C2×C3×Q8—31no—
264C2×C3×Q8—41no—
265C2×C3×Q8—44no—
266C2×C3×Q8C22×D312yes—
267C2×C3×Q8C22×D312yes—
268C2×C3×D4—32no—
269C2×C3×D4—64no—
270C2×C3×D4—62no—
271C2×C3×D4—62no—
272C2×C3×D4—68no—
273C2×C3×D4—61no—
274C22×C3×C4—21no—
275C22×C3×C4—21no—
276C22×C3×C4—21no—
277C22×C3×C4—31no—
278C22×C3×C4—31no—
279C22×C3×C4—31no—
280C22×C3×C4—31no—
281C22×C3×C4—31no—
282C22×C3×C4—41no—
283C22×C3×C4—64no—
284C22×C3×C4—62no—
285C22×C3×C4—62no—
286C22×C3×C4—68no—
287C22×C3×C4C22×D311yescharacteristic
288C22×C3×C4C22×D311yescharacteristic
289C22×Dic3—61no—
290C22×Dic3—61no—
291C22×Dic3#6711yescharacteristic
292#239—28no—
293#239—28no—
294#239—24no—
295#239—24no—
296#239—24no—
297#239#6718yes—
298D3×Q8—64no—
299C2×D12—28no—
300C2×D12—22no—
301C2×D12—22no—
302C2×D12—21no—
303C2×D12—24no—
304C2×D12C22×D312yes—
305C2×C4×D3—28no—
306C2×C4×D3—22no—
307C2×C4×D3—22no—
308C2×C4×D3—24no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3#6711yescharacteristic
312C2×C4×D3#6711yescharacteristic
313C2×C4×D3C22×D311yescharacteristic
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—61no—
318C2×Dic6—64no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6C22×D311yescharacteristic
322C3×Q16—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—24no—
334#216—64no—
335#216—64no—
336#216—124no—
337#215—64no—
338#214—64no—
339#214—64no—
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—
361#204—64no—
362ΓL(1,𝔽25)—64no—
363C22×C32—21no—
364C22×C32—21no—
365C22×C32#13712yescomplemented
366C22×C32C22×D411yescharacteristic
367C2×C3×D3—21no—
368C2×C3×D3—21no—
369C2×C3×D3—21no—
370C2×C3×D3—24no—
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—44no—
374C2×C3×D3—48no—
375C2×C3×D3—42no—
376C2×C3×D3—42no—
377C2×C3×D3#12012yes—
378C32×C4—24no—
379C32×C4—21no—
380C32×C4C22×D412yes—
381C3⋊Dic3—41no—
382C3⋊Dic3—41no—
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—91no—
393C22×Q8D3211yescharacteristic
394C22×D4—31no—
395C22×D4—61no—
396C23×C4—31no—
397C23×C4—61no—
398#137—188no—
399C2×Q16—32no—
400C2×Q16—92no—
401C2×SD16—92no—
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—32no—
414#103—92no—
415#102—92no—
416#102—92no—
417C22⋊C8—31no—
418C22⋊C8—92no—
419C22⋊C8—91no—
420C23×C3—21no—
421C23×C3—31no—
422C23×C3—31no—
423C23×C3—62no—
424C23×C3—64no—
425C23×C3—62no—
426C23×C3—62no—
427C23×C3—121no—
428C23×C3—122no—
429C23×C3—122no—
430C23×C3D3×D411yescharacteristic
431C23×C3C2×#6711yescharacteristic
432C22×D3—24no—
433C22×D3—22no—
434C22×D3—22no—
435C22×D3—22no—
436C22×D3—41no—
437C22×D3—42no—
438C22×D3—42no—
439C22×D3C2×#6711yescharacteristic
440C22×D3C2×#6711yescharacteristic
441C3×Q8—24no—
442C3×Q8—24no—
443C3×Q8—22no—
444C3×Q8—22no—
445C3×Q8—24no—
446C3×Q8—42no—
447C3×Q8—44no—
448C3×Q8—62no—
449C3×Q8D3×D414yes—
450C3×Q8C2×#6714yes—
451C3×D4—34no—
452C3×D4—68no—
453C3×D4—68no—
454C3×D4—64no—
455C3×D4—62no—
456C2×C3×C4—24no—
457C2×C3×C4—24no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
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—42no—
469C2×C3×C4—44no—
470C2×C3×C4—62no—
471C2×C3×C4—68no—
472C2×C3×C4—62no—
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
482C2×Dic3—22no—
483C2×Dic3—21no—
484C2×Dic3—21no—
485C2×Dic3—61no—
486C2×Dic3—61no—
487C2×Dic3—61no—
488C2×Dic3—61no—
489C2×Dic3—121no—
490C2×Dic3—121no—
491C2×Dic3—122no—
492C2×Dic3—122no—
493C2×Dic3C2×#6711yescharacteristic
494C2×Dic3C2×#6711yescharacteristic
495D12—28no—
496D12—24no—
497D12—28no—
498D12—22no—
499D12C2×#6714yes—
500C4×D3—28no—
501C4×D3—22no—
502C4×D3—22no—
503C4×D3—28no—
504C4×D3—22no—
505C4×D3—122no—
506C4×D3—122no—
507C4×D3C2×#6714yes—
508Dic6—22no—
509Dic6—62no—
510Dic6—62no—
511Dic6—122no—
512Dic6—122no—
513Dic6—122no—
514C3×C8—62no—
515C3⋊C8—22no—
516C3⋊C8—62no—
517C3⋊C8—62no—
518C3⋊C8—122no—
519C2×C32—22no—
520C2×C32C2×#12011yescharacteristic
521C2×C32C2×#13711yescharacteristic
522C2×C32#57511yescharacteristic
523C3×D3—22no—
524C3×D3—41no—
525C3×D3—44no—
526C24—31no—
527C24—61no—
528#41—38no—
529#41—64no—
530#41—64no—
531#41—68no—
532#41—68no—
533#41—64no—
534C2×Q8—24no—
535C2×Q8—21no—
536C2×Q8—31no—
537C2×Q8—91no—
538C2×Q8—181no—
539C2×Q8—184no—
540C2×Q8C2×D3212yes—
541C2×D4—32no—
542C2×D4—64no—
543C2×D4—62no—
544C2×D4—62no—
545C2×D4—68no—
546C2×D4—61no—
547C22×C4—21no—
548C22×C4—31no—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—64no—
554C22×C4—62no—
555C22×C4—62no—
556C22×C4—68no—
557C22×C4—181no—
558C22×C4—181no—
559C22×C4C2×D3211yescharacteristic
560Q16—64no—
561Q16—184no—
562SD16—184no—
563SD16—184no—
564M16—184no—
565C2×C8—32no—
566C2×C8—92no—
567C4⋊C4—31no—
568C4⋊C4—61no—
569C4⋊C4—91no—
570C4⋊C4—181no—
571C4⋊C4—181no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C22⋊C4—61no—
575C22⋊C4—181no—
576C22⋊C4—181no—
577C22⋊C4—181no—
578C22×C3—21no—
579C22×C3—21no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—22no—
584C22×C3—32no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—61no—
588C22×C3—61no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—64no—
592C22×C3—61no—
593C22×C3—124no—
594C22×C3—128no—
595C22×C3—122no—
596C22×C3—122no—
597C22×C3#91812yescomplemented
598C22×C3#95112yescomplemented
599C22×C3C2×D3×D411yescharacteristic
600C22×C3C22×#6711yescharacteristic
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—21no—
606C2×D3—24no—
607C2×D3—44no—
608C2×D3—48no—
609C2×D3—42no—
610C2×D3—42no—
611C2×D3#95312yes—
612C3×C4—24no—
613C3×C4—21no—
614C3×C4—24no—
615C3×C4—21no—
616C3×C4—22no—
617C3×C4—32no—
618C3×C4—41no—
619C3×C4—44no—
620C3×C4—61no—
621C3×C4—121no—
622C3×C4—121no—
623C3×C4C2×D3×D412yes—
624C3×C4C22×#6712yes—
625Dic3—21no—
626Dic3—41no—
627Dic3—41no—
628Dic3—121no—
629Dic3—121no—
630Dic3—121no—
631Dic3—121no—
632Dic3—241no—
633Dic3—241no—
634Dic3#95312yes—
635C32#300711yescharacteristic, complemented, Sylow
636C23—31no—
637C23—31no—
638C23—62no—
639C23—64no—
640C23—62no—
641C23—62no—
642C23—121no—
643C23—122no—
644C23—122no—
645C23D3×#6711yescharacteristic
646Q8—24no—
647Q8—22no—
648Q8—62no—
649Q8—182no—
650Q8—362no—
651Q8D3×#6714yes—
652D4—34no—
653D4—68no—
654D4—68no—
655D4—64no—
656D4—62no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—31no—
661C2×C4—34no—
662C2×C4—31no—
663C2×C4—62no—
664C2×C4—68no—
665C2×C4—62no—
666C2×C4—68no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—181no—
672C2×C4—181no—
673C2×C4—362no—
674C2×C4—362no—
675C2×C4D3×#6711yescharacteristic
676C2×C4C22×D3211yescharacteristic
677C8—62no—
678C8—182no—
679C2×C3—22no—
680C2×C3—22no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—21no—
684C2×C3—42no—
685C2×C3—62no—
686C2×C3—121no—
687C2×C3—124no—
688C2×C3D3×#12011yescharacteristic
689C2×C3C2×#91811yescharacteristic
690C2×C3#577711yescharacteristic
691C2×C3#582211yescharacteristic
692C2×C3C2×#95111yescharacteristic
693C2×C3C2×#95311yescharacteristic
694D3—22no—
695D3—41no—
696D3—44no—
697C22—21no—
698C22—21no—
699C22—32no—
700C22—61no—
701C22—61no—
702C22—64no—
703C22—61no—
704C22—61no—
705C22—61no—
706C22—124no—
707C22—128no—
708C22—122no—
709C22—122no—
710C22#6394312yescomplemented
711C22C2×D3×#6711yescharacteristic
712C4—24no—
713C4—21no—
714C4—32no—
715C4—61no—
716C4—121no—
717C4—121no—
718C4—361no—
719C4—361no—
720C4C2×D3×#6712yes—
721C3—21no—
722C3#8018411yescharacteristic, complemented
723C3#8408411yescharacteristic, complemented
724C2—22no—
725C2—62no—
726C2—121no—
727C2—124no—
728C2#1059531711yescharacteristic
729C2C2×#6394311yescharacteristic
730C2D3×#95311yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×Q8C22
socleC22×C32C22×D4
prime radicalC22×C3×#239C2
hypercenterC22×Q8D32
hypocenterC32#3007
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×Q8

Complements

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

NH ≅ G/Ntype
2. C2×#63943C2semidirect
3. D3×#924C2semidirect
4. #10592927C2semidirect
5. C3×#5228C2semidirect
6. #10591599C2semidirect
7. #10591597C2semidirect
8. #10591550C2semidirect
9. #10591172C2semidirect
10. #10591169C2semidirect
11. #10591154C2semidirect
24. C2×D3×Dic6C22semidirect
25. C2×#3756C22semidirect
27. C2×C3×#216C22semidirect
32. D3×C4⋊Dic3C22semidirect
34. #63857C22semidirect
35. #63856C22semidirect
37. C2×#3716C22semidirect
38. C2×#3715C22semidirect
39. C2×#3711C22semidirect
40. #63662C22semidirect
42. C3×#835C22semidirect
44. #63563C22semidirect
45. #63562C22semidirect
46. (C2×D3)⋊(C3⋊C8)C22semidirect
60. #5228D3semidirect
154. C2×#216C2×D3semidirect
183. #835C2×D3semidirect
365. C22×C32#137semidirect
597. C22×C3#918semidirect
598. C22×C3#951semidirect
635. C32#3007semidirect
710. C22#63943semidirect
722. C3#80184semidirect
723. C3#84084semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#2392
C2×#639432
D3×#9242
#105929272
C3×#52282
#105915992
#105915972
#105915502
#105911722
#105911692
#105911542
#840843
#801843