Finite Group Databasebeta

← #11675295

Subgroups — #11675295

Order 768.

1794 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3502C211yesmaximal, characteristic, complemented
2#86259C211yesmaximal, characteristic
3#83708C214yesmaximal, complemented
4#83700C214yesmaximal, complemented
5#83691C214yesmaximal, complemented
6#83690C214yesmaximal, complemented
7#83475C212yesmaximal, complemented
8#83470C212yesmaximal, complemented
9#83350C211yesmaximal, characteristic, complemented
10#83335C211yesmaximal, characteristic, complemented
11#83329C211yesmaximal, characteristic, complemented
12#82551C212yesmaximal, complemented
13#82547C212yesmaximal, complemented
14#82441C211yesmaximal, characteristic, complemented
15C2×#5026C211yesmaximal, characteristic, complemented
16#61334—31nomaximal, Sylow
17C3×Q82—21no—
18C3×Q82C2212yescomplemented
19C3×#557—21no—
20C3×#557—22no—
21C3×#557C2214yescomplemented
22C3×#557C2212yescomplemented
23C3×#544—22no—
24C3×#544C2212yes—
25C3×#533—22no—
26C3×#533C2211yescharacteristic
27C3×#533C2211yescharacteristic
28C3×#519C2212yes—
29C2×C3×C4×Q8C2211yescharacteristic
30C2×#942C2212yes—
31C22×#215C2211yescharacteristic
32#5734—21no—
33#5726—21no—
34#5695—22no—
35#5644—22no—
36#5627—22no—
37#5585C2214yes—
38#5584C2212yes—
39#5577C2212yes—
40#5525C2212yes—
41#5523C2212yes—
42#5477C2211yescharacteristic
43C2×C4×D12C2211yescharacteristic
44C2×#835C2211yescharacteristic
45#5091C2214yescomplemented
46#5089C2214yes—
47#5089C2212yescomplemented
48#5089C2212yescomplemented
49#5088C2214yes—
50#5087C2212yes—
51#5087C2214yescomplemented
52#5084C2212yes—
53#5069C2212yescomplemented
54#5068C2214yes—
55#5067C2214yes—
56#5067C2212yescomplemented
57#5066C2214yes—
58#5066C2214yescomplemented
59#5063C2214yescomplemented
60#5031C2212yescomplemented
61#5030C2214yescomplemented
62C4×#216C2214yescomplemented
63#5028C2214yes—
64#5028C2214yes—
65#5028C2214yescomplemented
66#5027C2214yes—
67#5027C2214yes—
68#5027C2212yescomplemented
69#5026C2214yes—
70#5026C2214yes—
71#5026C2214yescomplemented
72C4×#215C2214yescomplemented
73#5024C2214yescomplemented
74#5024C2214yescomplemented
75#5002C2212yes—
76#5002C2212yes—
77#5001C2212yes—
78#4999C2212yes—
79#4997C2212yes—
80#4995C2212yes—
81#4966C2212yes—
82C2×#809C2211yescharacteristic
83C2×#807C2211yescharacteristic
84#4924C2211yescharacteristic
85C2×#803C2211yescharacteristic
86#3506—31no—
87#3502D311yescharacteristic, complemented
88#3377—34no—
89#3375—34no—
90#3371—34no—
91#3368—34no—
92#3136—32no—
93#3135—31no—
94#3083—32no—
95#3077—31no—
96#3043—32no—
97#3037—31no—
98#2961—31no—
99#2947—32no—
100C2×#440—31no—
101C22×C3×Q8C2311yescharacteristic
102C2×#239—22no—
103C2×#235C2312yes—
104C22×D12C2311yescharacteristic
105C22×C4×D3—21no—
106C3×C4⋊Q8—24no—
107C3×C4⋊Q8—22no—
108C3×C4⋊Q8—22no—
109C3×C4⋊Q8—22no—
110C3×C4⋊Q8—24no—
111C3×C4⋊Q8D411yescharacteristic
112C3×C4⋊Q8D411yescharacteristic
113C3×C4⋊Q8C2311yescharacteristic
114C3×C4⋊Q8C2314yes—
115C3×C4⋊Q8C2311yescharacteristic
116C3×#125—24no—
117C3×#125—24no—
118C3×#125—24no—
119C3×#125—22no—
120C3×#125D412yes—
121C3×#125C2314yes—
122C3×#125C2312yes—
123C3×C22⋊Q8—21no—
124C3×C22⋊Q8—21no—
125C3×C22⋊Q8—24no—
126C3×C22⋊Q8D412yes—
127C3×C22⋊Q8D412yes—
128C3×C4×Q8—22no—
129C3×C4×Q8—22no—
130C3×C4×Q8—22no—
131C3×C4×Q8—22no—
132C3×C4×Q8—24no—
133C3×C4×Q8—21no—
134C3×C4×Q8—21no—
135C3×C4×Q8—21no—
136C3×C4×Q8—21no—
137C3×C4×Q8C2312yes—
138C3×C4×Q8C2314yes—
139C3×C4×Q8C2314yes—
140C3×C4×Q8C2312yes—
141C3×C4×Q8C2312yes—
142C3×C4×Q8C2312yes—
143C3×#117—24no—
144C3×#117C2312yes—
145C3×#117C2312yes—
146C2×C3×C4⋊C4—21no—
147C2×C3×C4⋊C4C2311yescharacteristic
148C2×C3×C42—21no—
149C2×C3×C42C2311yescharacteristic
150#947—24no—
151#946—22no—
152C2×#216C2314yes—
153#942—28no—
154C2×#215—24no—
155C2×#215C2314yes—
156C2×#215C2314yes—
157#930—21no—
158#930—21no—
159C2×(C2×D3)⋊C4—21no—
160C2×C4⋊Dic3C2311yescharacteristic
161C2×#208C2312yes—
162C22×C3⋊C8C2311yescharacteristic
163C22×C3⋊C8C2311yescharacteristic
164#898—24no—
165#895—24no—
166#895—22no—
167#895—22no—
168#895—22no—
169#894—24no—
170#894—24no—
171#893—24no—
172#892—22no—
173#892—22no—
174D3×C4⋊C4—22no—
175#882—24no—
176#67⋊C4—24no—
177#875C2312yes—
178#875C2314yes—
179#874C2311yescharacteristic
180#874C2314yes—
181C4×D12—21no—
182C4×D12—21no—
183C4×D12—21no—
184C4×D12—21no—
185C4×D12C2312yes—
186C4×D12C2312yes—
187C4×D12C2314yes—
188#869C2311yescharacteristic
189C4×Dic6C2314yes—
190#835C2314yes—
191#810C2314yes—
192#810C2312yes—
193#810C2312yes—
194#810C2312yes—
195#810C2312yes—
196#809C2314yes—
197#809C2314yes—
198#809C2314yes—
199#809C2314yes—
200#809C2312yes—
201#809C2312yes—
202#809C2312yes—
203#809C2312yes—
204#808C2314yes—
205#807C2314yes—
206#807C2314yes—
207C4⋊(C3⋊C8)C2312yes—
208C4⋊(C3⋊C8)C2312yes—
209C4⋊(C3⋊C8)C2314yes—
210C4⋊(C3⋊C8)C2314yes—
211#803C2312yes—
212#803C2312yes—
213#803C2314yes—
214C4×C3⋊C8C2314yes—
215C2×#137—32no—
216C22×SD16—31no—
217#559—34no—
218Q82—21no—
219Q82C2×D312yescomplemented
220#557—21no—
221#557—22no—
222#557C2×D314yescomplemented
223#557C2×D312yescomplemented
224#556—32no—
225#555—61no—
226#553—62no—
227#550—32no—
228#547—61no—
229#544—22no—
230#544C2×D312yes—
231#538—62no—
232#535—32no—
233#533—22no—
234#533C2×D311yescharacteristic
235#533C2×D311yescharacteristic
236#532—31no—
237#525—62no—
238#520—32no—
239#519C2×D312yes—
240C2×C4×Q8C2×D311yescharacteristic
241C2×C4×D4—31no—
242#491—32no—
243#490—32no—
244#490—34no—
245#489—32no—
246#489—32no—
247#489—34no—
248#488—34no—
249#486—34no—
250#479—34no—
251#478—34no—
252#478—34no—
253#477—34no—
254#476—32no—
255#474—32no—
256#474—34no—
257#464—34no—
258#464—34no—
259#464—34no—
260#462—32no—
261#460—32no—
262#460—34no—
263#460—34no—
264#446—34no—
265#446—34no—
266#441—34no—
267#440—34no—
268#440—34no—
269#440—34no—
270C4×Q16—34no—
271C4×SD16—34no—
272#428—32no—
273C2×#107—31no—
274#424—32no—
275#423—31no—
276#418—32no—
277#417—32no—
278#416—32no—
279#416—32no—
280C2×#103—31no—
281C2×#102—31no—
282#405—32no—
283C2×#97—31no—
284C23×D3—21no—
285C2×C3×Q8—21no—
286C2×C3×Q8—21no—
287C2×C3×Q8—21no—
288C2×C3×Q8—24no—
289C2×C3×Q8—22no—
290C2×C3×Q8C2×D412yes—
291C2×C3×Q8C2×D412yes—
292C2×C3×Q8#4114yescomplemented
293C2×C3×Q8C2412yes—
294C22×C3×C4—21no—
295C22×C3×C4—21no—
296C22×C3×C4C2×D411yescharacteristic
297C22×C3×C4C2×D411yescharacteristic
298C22×C3×C4C2411yescharacteristic
299C2×#67—22no—
300C22×Dic3—21no—
301#239—84no—
302#235—24no—
303#235—24no—
304C2×D12—22no—
305C2×D12—22no—
306C2×D12—21no—
307C2×D12—21no—
308C2×D12—21no—
309C2×D12—24no—
310C2×D12—24no—
311C2×D12C2412yes—
312C2×D12C2412yes—
313C2×C4×D3—22no—
314C2×C4×D3—22no—
315C2×C4×D3—22no—
316C2×C4×D3—24no—
317C2×C4×D3—82no—
318C2×Dic6C2412yes—
319C3×C4⋊C4—22no—
320C3×C4⋊C4—22no—
321C3×C4⋊C4—21no—
322C3×C4⋊C4—24no—
323C3×C4⋊C4—24no—
324C3×C4⋊C4—22no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—24no—
328C3×C4⋊C4—24no—
329C3×C4⋊C4—22no—
330C3×C4⋊C4—24no—
331C3×C4⋊C4C2×D412yes—
332C3×C4⋊C4C2×D412yes—
333C3×C4⋊C4C2×D412yes—
334C3×C4⋊C4C2×D414yes—
335C3×C4⋊C4C2×D412yes—
336C3×C4⋊C4C2×D414yes—
337C3×C4⋊C4C2412yes—
338C3×C4⋊C4C2412yes—
339C3×C4⋊C4C2412yes—
340C3×C22⋊C4—22no—
341C3×C22⋊C4C2×D414yes—
342C3×C42—22no—
343C3×C42—22no—
344C3×C42—24no—
345C3×C42—24no—
346C3×C42—22no—
347C3×C42C2×D411yescharacteristic
348C3×C42C2×D411yescharacteristic
349C3×C42C2414yes—
350C3×C42C2411yescharacteristic
351C3×C42C2411yescharacteristic
352#216—28no—
353#215—28no—
354#215—28no—
355(C2×D3)⋊C4—22no—
356(C2×D3)⋊C4—22no—
357(C2×D3)⋊C4—22no—
358(C2×D3)⋊C4—22no—
359(C2×D3)⋊C4—24no—
360(C2×D3)⋊C4—24no—
361(C2×D3)⋊C4—24no—
362C4⋊Dic3—21no—
363C4⋊Dic3—21no—
364C4⋊Dic3—21no—
365C4⋊Dic3C2412yes—
366Dic3⋊C4—24no—
367C4×Dic3—24no—
368#208—24no—
369C2×C3⋊C8—22no—
370C2×C3⋊C8—22no—
371C2×C3⋊C8C2412yes—
372C2×C3⋊C8C2414yes—
373C2×C3⋊C8C2412yes—
374C2×#41—32no—
375C2×#41—62no—
376C22×Q8C22×D311yescharacteristic
377C22×D4—31no—
378C23×C4—61no—
379#137—68no—
380C2×Q16—34no—
381C2×SD16—34no—
382C2×SD16—34no—
383C2×SD16—64no—
384C2×M16—32no—
385C22×C8—31no—
386C22×C8—31no—
387C4⋊Q8—22no—
388C4⋊Q8—24no—
389C4⋊Q8—22no—
390C4⋊Q8—24no—
391C4⋊Q8—22no—
392C4⋊Q8—31no—
393C4⋊Q8#6711yescharacteristic
394C4⋊Q8#6711yescharacteristic
395C4⋊Q8C22×D311yescharacteristic
396C4⋊Q8C22×D311yescharacteristic
397C4⋊Q8C22×D314yes—
398#127—31no—
399#127—34no—
400#126—64no—
401#125—24no—
402#125—24no—
403#125—24no—
404#125—22no—
405#125#6712yes—
406#125C22×D312yes—
407#125C22×D314yes—
408#124—32no—
409#124—34no—
410#124—64no—
411#123—64no—
412#123—64no—
413C22⋊Q8—21no—
414C22⋊Q8—21no—
415C22⋊Q8—24no—
416C22⋊Q8—62no—
417C22⋊Q8#6712yes—
418C22⋊Q8#6712yes—
419#121—61no—
420#121—61no—
421#121—62no—
422#121—62no—
423#121—62no—
424#121—64no—
425#120—64no—
426C4×Q8—22no—
427C4×Q8—22no—
428C4×Q8—22no—
429C4×Q8—24no—
430C4×Q8—22no—
431C4×Q8—21no—
432C4×Q8—21no—
433C4×Q8—21no—
434C4×Q8—21no—
435C4×Q8—34no—
436C4×Q8C22×D312yes—
437C4×Q8C22×D312yes—
438C4×Q8C22×D314yes—
439C4×Q8C22×D314yes—
440C4×Q8C22×D312yes—
441C4×Q8C22×D312yes—
442C4×D4—32no—
443C4×D4—32no—
444C4×D4—34no—
445C4×D4—64no—
446C4×D4—64no—
447C4×D4—61no—
448C4×D4—61no—
449C4×D4—61no—
450C4×D4—61no—
451#117—24no—
452#117—62no—
453#117—62no—
454#117C22×D312yes—
455#117C22×D312yes—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—31no—
458C2×C4⋊C4—62no—
459C2×C4⋊C4C22×D311yescharacteristic
460C2×C22⋊C4—61no—
461C2×C42—21no—
462C2×C42C22×D311yescharacteristic
463#107—34no—
464#107—34no—
465#106—34no—
466C4⋊C8—32no—
467C4⋊C8—32no—
468C4⋊C8—34no—
469C4⋊C8—34no—
470#103—34no—
471#103—32no—
472#103—32no—
473#103—32no—
474#103—32no—
475#103—34no—
476#102—34no—
477#102—32no—
478#102—32no—
479#102—32no—
480#102—32no—
481#102—34no—
482#102—34no—
483#102—34no—
484#97—32no—
485#97—32no—
486#97—34no—
487C4×C8—34no—
488C23×C3C22×D411yescharacteristic
489C22×D3—22no—
490C22×D3—22no—
491C22×D3—42no—
492C22×D3—81no—
493C22×D3—81no—
494C3×Q8—24no—
495C3×Q8—22no—
496C3×Q8—42no—
497C3×Q8—42no—
498C3×Q8—42no—
499C3×Q8—81no—
500C3×Q8—84no—
501C3×Q8C2×#4114yes—
502C2×C3×C4—24no—
503C2×C3×C4—22no—
504C2×C3×C4—22no—
505C2×C3×C4—22no—
506C2×C3×C4—22no—
507C2×C3×C4—41no—
508C2×C3×C4—41no—
509C2×C3×C4—81no—
510C2×C3×C4C22×D414yes—
511C2×C3×C4C22×D414yes—
512C2×C3×C4C22×D411yescharacteristic
513C2×C3×C4C22×D411yescharacteristic
514C2×C3×C4C22×D411yescharacteristic
515C2×C3×C4C22×D411yescharacteristic
516C2×C3×C4C22×D411yescharacteristic
517C2×C3×C4C2×#4112yes—
518C2×C3×C42−1+412yes—
519C2×C3×C4C2511yescharacteristic
520#67—44no—
521C2×Dic3—22no—
522C2×Dic3—22no—
523C2×Dic3—81no—
524D12—22no—
525D12—22no—
526D12—22no—
527D12—22no—
528D12—42no—
529D12—42no—
530D12—81no—
531D12—84no—
532D12—84no—
533C4×D3—44no—
534C4×D3—44no—
535C4×D3—82no—
536C4×D3—84no—
537Dic6—22no—
538Dic6—22no—
539C3⋊C8—22no—
540C3⋊C8—24no—
541C3⋊C8—22no—
542C24—61no—
543#41—64no—
544#41—64no—
545#41—244no—
546C2×Q8—22no—
547C2×Q8—21no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—24no—
551C2×Q8—32no—
552C2×Q8#23914yescomplemented
553C2×Q8C2×#6712yes—
554C2×Q8C2×#6712yes—
555C2×Q8C23×D312yes—
556C2×D4—32no—
557C2×D4—32no—
558C2×D4—62no—
559C2×D4—62no—
560C2×D4—62no—
561C2×D4—61no—
562C2×D4—61no—
563C2×D4—64no—
564C2×D4—61no—
565C2×D4—64no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—61no—
569C22×C4—62no—
570C22×C4—62no—
571C22×C4—64no—
572C22×C4—62no—
573C22×C4—242no—
574C22×C4C2×#6711yescharacteristic
575C22×C4C2×#6711yescharacteristic
576C22×C4C23×D311yescharacteristic
577Q16—68no—
578SD16—68no—
579SD16—68no—
580M16—64no—
581C2×C8—32no—
582C2×C8—34no—
583C2×C8—32no—
584C2×C8—62no—
585C2×C8—62no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—21no—
589C4⋊C4—24no—
590C4⋊C4—24no—
591C4⋊C4—22no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—24no—
595C4⋊C4—24no—
596C4⋊C4—22no—
597C4⋊C4—24no—
598C4⋊C4—32no—
599C4⋊C4—61no—
600C4⋊C4—64no—
601C4⋊C4—61no—
602C4⋊C4—61no—
603C4⋊C4C2×#6712yes—
604C4⋊C4C2×#6712yes—
605C4⋊C4C2×#6712yes—
606C4⋊C4C2×#6714yes—
607C4⋊C4C2×#6714yes—
608C4⋊C4C2×#6712yes—
609C4⋊C4C23×D312yes—
610C4⋊C4C23×D312yes—
611C4⋊C4C23×D312yes—
612C22⋊C4—22no—
613C22⋊C4—62no—
614C22⋊C4—62no—
615C22⋊C4—64no—
616C22⋊C4—64no—
617C22⋊C4—62no—
618C22⋊C4—64no—
619C22⋊C4—62no—
620C22⋊C4C2×#6714yes—
621C42—22no—
622C42—22no—
623C42—24no—
624C42—24no—
625C42—22no—
626C42—64no—
627C42C2×#6711yescharacteristic
628C42C2×#6711yescharacteristic
629C42C23×D314yes—
630C42C23×D311yescharacteristic
631C42C23×D311yescharacteristic
632C22×C3—21no—
633C22×C3—21no—
634C22×C3#54812yes—
635C22×C3C23×D411yescharacteristic
636C2×D3—42no—
637C2×D3—42no—
638C2×D3—42no—
639C2×D3—42no—
640C2×D3—42no—
641C2×D3—42no—
642C2×D3—84no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—24no—
646C3×C4—21no—
647C3×C4—24no—
648C3×C4—21no—
649C3×C4—24no—
650C3×C4—42no—
651C3×C4—42no—
652C3×C4—42no—
653C3×C4#54812yes—
654C3×C4C22×#4111yescharacteristic
655C3×C4C2×2−1+411yescharacteristic
656Dic3—42no—
657Dic3—42no—
658C23—62no—
659C23—62no—
660C23—122no—
661C23—241no—
662C23—241no—
663C23C22×#6711yescharacteristic
664Q8—22no—
665Q8—24no—
666Q8—42no—
667Q8—42no—
668Q8—42no—
669Q8—62no—
670Q8—62no—
671Q8—81no—
672Q8—84no—
673Q8C2×#23914yes—
674D4—62no—
675D4—62no—
676D4—62no—
677D4—62no—
678D4—122no—
679D4—124no—
680D4—122no—
681D4—244no—
682D4—241no—
683D4—244no—
684C2×C4—22no—
685C2×C4—24no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—62no—
692C2×C4—62no—
693C2×C4—81no—
694C2×C4—124no—
695C2×C4—124no—
696C2×C4—242no—
697C2×C4—244no—
698C2×C4—241no—
699C2×C4C2×#23912yes—
700C2×C4#100712yes—
701C2×C4C22×#6711yescharacteristic
702C2×C4C22×#6711yescharacteristic
703C2×C4C22×#6714yes—
704C2×C4C22×#6714yes—
705C2×C4C22×#6711yescharacteristic
706C2×C4C22×#6711yescharacteristic
707C2×C4C22×#6711yescharacteristic
708C2×C4C24×D311yescharacteristic
709C8—62no—
710C8—64no—
711C8—62no—
712C2×C3—22no—
713C2×C3C2×#54811yescharacteristic
714C2×C3#358511yescharacteristic
715C2×C3#358611yescharacteristic
716D3—82no—
717D3—82no—
718C22—21no—
719C22—21no—
720C22—122no—
721C22—122no—
722C22—122no—
723C22—122no—
724C22—122no—
725C22—122no—
726C22—244no—
727C22#581712yes—
728C22C23×#6711yescharacteristic
729C4—21no—
730C4—21no—
731C4—24no—
732C4—24no—
733C4—21no—
734C4—21no—
735C4—24no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—122no—
740C4—122no—
741C4#581712yes—
742C4C22×#23911yescharacteristic
743C4C2×#100711yescharacteristic
744C3#6133411yescharacteristic, complemented, Sylow
745C2—22no—
746C2—242no—
747C2—242no—
748C2C2×#581711yescharacteristic
749C2#8728711yescharacteristic
750C2#8729811yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3502C2
socleC22×C3C23×D4
prime radical#86259C2
hypercenter#3502D3
hypocenterC3#61334
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #533 ◁ #3502

Complements

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

NH ≅ G/Ntype
1. C3×#3502C2semidirect
3. #83708C2semidirect
4. #83700C2semidirect
5. #83691C2semidirect
6. #83690C2semidirect
7. #83475C2semidirect
8. #83470C2semidirect
9. #83350C2semidirect
10. #83335C2semidirect
11. #83329C2semidirect
12. #82551C2semidirect
13. #82547C2semidirect
14. #82441C2semidirect
15. C2×#5026C2semidirect
18. C3×Q82C22semidirect
21. C3×#557C22semidirect
22. C3×#557C22semidirect
45. #5091C22semidirect
47. #5089C22semidirect
48. #5089C22semidirect
51. #5087C22semidirect
53. #5069C22semidirect
56. #5067C22semidirect
58. #5066C22semidirect
59. #5063C22semidirect
60. #5031C22semidirect
61. #5030C22semidirect
62. C4×#216C22semidirect
65. #5028C22semidirect
68. #5027C22semidirect
71. #5026C22semidirect
72. C4×#215C22semidirect
73. #5024C22semidirect
74. #5024C22semidirect
87. #3502D3semidirect
219. Q82C2×D3semidirect
222. #557C2×D3semidirect
223. #557C2×D3semidirect
292. C2×C3×Q8#41semidirect
552. C2×Q8#239semidirect
744. C3#61334semidirect

Maximal subgroups

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

subgroupindex
C3×#35022
#862592
#837082
#837002
#836912
#836902
#834752
#834702
#833502
#833352
#833292
#825512
#825472
#824412
C2×#50262
#613343