Finite Group Databasebeta

← #11865175

Subgroups — #11865175

Order 1152.

1545 conjugacy classes of subgroups.

The subgroup lattice has 820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5968C211yesmaximal, characteristic, complemented
2D3×#949C212yesmaximal, complemented
3#10595426C211yesmaximal, characteristic, complemented
4#10592944C211yesmaximal, characteristic, complemented
5C3×#5245C211yesmaximal, characteristic, complemented
6#10591670C212yesmaximal, complemented
7#10591666C212yesmaximal, complemented
8#10591665C212yesmaximal, complemented
9#10591646C211yesmaximal, characteristic, complemented
10#10591645C211yesmaximal, characteristic, complemented
11#10591637C211yesmaximal, characteristic, complemented
12#84122—31nomaximal
13#80286—31nomaximal
14C32×2−1+4C2211yescharacteristic, complemented
15C3×#1009—22no—
16C3×#1009—22no—
17C3×#1009C2212yescomplemented
18C3×D3×#41—22no—
19C3×D3×#41—22no—
20C3×D3×#41C2212yes—
21C3×#1007—22no—
22C3×#1007C2211yescharacteristic, complemented
23C2×C3×#239—22no—
24C2×C3×#239C2211yescharacteristic
25C2×D3×D12C2211yescharacteristic, complemented
26#64158C2212yescomplemented
27#64156C2211yescharacteristic, complemented
28C3×#949C2212yescomplemented
29C3×#947C2211yescharacteristic, complemented
30#63939—22no—
31D3×#215—22no—
32#63925—22no—
33D3×#213—22no—
34#63922—22no—
35#63914C2211yescharacteristic, complemented
36#63911C2211yescharacteristic, complemented
37#63906—22no—
38#63855C2211yescharacteristic, complemented
39#63825C2212yescomplemented
40#63823C2212yescomplemented
41D3×#208C2212yescomplemented
42#63664C2212yescomplemented
43#63663C2211yescharacteristic, complemented
44C3×#837C2212yescomplemented
45C3×#836C2211yescharacteristic, complemented
46#63569C2212yescomplemented
47#63568C2212yescomplemented
48#63558C2212yescomplemented
49C3×#585—31no—
50#5968D311yescharacteristic, complemented
51#5830—31no—
52C2×#949—32no—
53D3×AGL(1,ℤ/8)—32no—
54#5674—31no—
55C3×#454—31no—
56#5245—31no—
57#5245—31no—
58#5245—31no—
59#5245—31no—
60#5245—61no—
61#5245D311yescharacteristic, complemented
62#5241—32no—
63#5241—32no—
64#5237—31no—
65#5236—32no—
66#5198—32no—
67#5062—31no—
68#4822—32no—
69#4821—32no—
70#4753—31no—
71#4751—31no—
72C22×D32—21no—
73C32×#41—22no—
74C32×#41—22no—
75C32×#41C2312yes—
76C2×C32×Q8—22no—
77C2×C32×Q8C2311yescharacteristic
78C2×C4⋊(C3⋊D3)C2311yescharacteristic
79C3×#239—22no—
80C3×#239—24no—
81C3×#239—22no—
82C3×#239—22no—
83C3×#239—22no—
84C3×#239—22no—
85C3×#239D412yescomplemented
86C3×D3×Q8—22no—
87C3×D3×Q8—22no—
88C3×D3×Q8D412yescomplemented
89C3×#237—22no—
90C3×#237—22no—
91C3×#237D412yescomplemented
92C3×D3×D4—24no—
93C3×D3×D4—22no—
94C3×D3×D4—24no—
95C3×D3×D4—22no—
96C3×D3×D4—22no—
97C3×D3×D4D412yescomplemented
98C3×#235—24no—
99C3×#235—24no—
100C3×#235—22no—
101C3×#235—22no—
102C3×#235—22no—
103C3×#235C2312yes—
104C2×C3×D12—24no—
105C2×C3×D12—22no—
106C2×C3×D12D412yes—
107C2×C3×D12C2311yescharacteristic
108C2×C3×D12C2311yescharacteristic
109C2×C3×C4×D3—24no—
110C2×C3×C4×D3—22no—
111C2×C3×C4×D3D412yes—
112C2×C3×C4×D3C2311yescharacteristic
113C2×#626—21no—
114C2×#626—22no—
115C2×#625—22no—
116D3×D12—22no—
117D3×D12—22no—
118#3755—22no—
119#3753—22no—
120#3752—22no—
121C4×C3⋊Dic3C2311yescharacteristic
122#3748C2312yes—
123C3×#215—22no—
124C3×#213—22no—
125C3×(C2×D3)⋊C4—22no—
126C3×C4×Dic3C2311yescharacteristic
127C3×#208C2312yes—
128Dic3⋊Dic3—21no—
129(C2×D3)⋊Dic3—21no—
130#3717—22no—
131#3715—22no—
132#3714—22no—
133#3713—22no—
134#3711—22no—
135D3×C3⋊C8—22no—
136#3021—91noSylow
137C3×2−1+4—21no—
138C3×2−1+4—31no—
139C3×2−1+4—62no—
140C3×2−1+4C2×D311yescharacteristic, complemented
141C3×2−1+4C2×D311yescharacteristic, complemented
142C3×H(5,𝔽2)—32no—
143C3×H(5,𝔽2)—62no—
144C3×H(5,𝔽2)—62no—
145C2×C3×#41—31no—
146C2×C3×#41—32no—
147C2×C3×#41—62no—
148C2×C3×#41—62no—
149C2×C3×#41—62no—
150#1009—22no—
151#1009—22no—
152#1009C2×D312yescomplemented
153D3×#41—22no—
154D3×#41—22no—
155D3×#41C2×D312yes—
156#1007—22no—
157#1007C2×D311yescharacteristic, complemented
158C2×#239—22no—
159C2×#239C2×D311yescharacteristic
160C2×D3×D4—31no—
161C22×D12—31no—
162C3×AGL(1,ℤ/8)—32no—
163C3×#124—31no—
164#949—32no—
165#949—32no—
166#949—32no—
167#949—32no—
168#949—62no—
169#949—62no—
170#949—62no—
171#949C2×D312yescomplemented
172#947—31no—
173#947—31no—
174#947—61no—
175#947C2×D311yescharacteristic, complemented
176C2×#215—62no—
177#940—31no—
178#940—31no—
179#940—31no—
180#937—62no—
181#932—32no—
182C2×#213—62no—
183#930—62no—
184#926—31no—
185C2×#208—32no—
186#914—62no—
187D3×SD16—62no—
188#911—62no—
189D3×D8—62no—
190#908—32no—
191D3×M16—32no—
192#884—62no—
193#882—62no—
194#874—31no—
195#872—31no—
196C3×#104—32no—
197C3×#101—31no—
198#837—32no—
199#837—32no—
200#837—32no—
201#837—32no—
202#837—62no—
203#837C2×D312yescomplemented
204#836—31no—
205#836—31no—
206#836—61no—
207#836C2×D311yescharacteristic, complemented
208#833—32no—
209#825—32no—
210#823—32no—
211#805—32no—
212C22×C3⋊D3—21no—
213C22×C3×D3—24no—
214C22×C3×D3—22no—
215C22×C3×D3—21no—
216C22×C3×D3C2×D412yes—
217C22×C3×D3C2×D411yescharacteristic
218C2×D32—42no—
219C2×D32—82no—
220C32×Q8—22no—
221C32×Q8—22no—
222C32×Q8C2×D412yes—
223C32×D4—22no—
224C32×D4—22no—
225C32×D4C2×D412yes—
226C2×C32×C4—24no—
227C2×C32×C4—22no—
228C2×C32×C4C2×D412yes—
229C2×C32×C4C2411yescharacteristic
230C2×C3⋊Dic3—21no—
231C4⋊(C3⋊D3)—22no—
232C3×#67—24no—
233C3×#67—22no—
234C3×#67—22no—
235C3×#67—22no—
236C2×C3×Dic3—22no—
237C2×C3×Dic3—21no—
238C2×C3×Dic3C2×D411yescharacteristic
239C3×D12—24no—
240C3×D12—22no—
241C3×D12—22no—
242C3×D12—24no—
243C3×D12—22no—
244C3×D12—22no—
245C3×D12C2×D412yes—
246C3×C4×D3—24no—
247C3×C4×D3—24no—
248C3×C4×D3—22no—
249C3×C4×D3—22no—
250C3×C4×D3—22no—
251C3×C4×D3—22no—
252C3×C4×D3—22no—
253C3×C4×D3C2×D412yes—
254C3×C4×D3C2×D412yes—
255C3×Dic6—22no—
256C3×Dic6—22no—
257C3×Dic6C2×D412yes—
258#626—41no—
259#626—41no—
260#626—82no—
261#625—82no—
262C3⋊(C3⋊C8)—22no—
263C3×C3⋊C8—22no—
264#585—31no—
265C2×AGL(1,ℤ/8)—92no—
266#535—91no—
267#454—31no—
268#454—91no—
269#454—91no—
270#454—91no—
271#453—92no—
272#453—92no—
273#421—92no—
274#413—91no—
275C23×D3—61no—
276C23×D3—61no—
277C3×#41—22no—
278C3×#41—22no—
279C3×#41—22no—
280C3×#41—22no—
281C3×#41—22no—
282C3×#41—32no—
283C3×#41—32no—
284C3×#41—32no—
285C3×#41—42no—
286C3×#41—42no—
287C3×#41—62no—
288C3×#41—62no—
289C3×#41—64no—
290C3×#41—64no—
291C3×#41—62no—
292C3×#41—62no—
293C3×#41—62no—
294C3×#41—62no—
295C3×#41—62no—
296C3×#41—62no—
297C3×#41—64no—
298C3×#41—62no—
299C3×#41—62no—
300C3×#41C22×D312yes—
301C3×#41C22×D312yes—
302C2×C3×Q8—22no—
303C2×C3×Q8—22no—
304C2×C3×Q8—21no—
305C2×C3×Q8—32no—
306C2×C3×Q8—42no—
307C2×C3×Q8—62no—
308C2×C3×Q8—62no—
309C2×C3×Q8C22×D311yescharacteristic
310C2×C3×Q8C22×D311yescharacteristic
311C2×C3×D4—32no—
312C2×C3×D4—32no—
313C2×C3×D4—31no—
314C2×C3×D4—31no—
315C2×C3×D4—62no—
316C2×C3×D4—64no—
317C2×C3×D4—62no—
318C2×C3×D4—64no—
319C2×C3×D4—62no—
320C2×C3×D4—64no—
321C2×C3×D4—62no—
322C22×C3×C4—31no—
323C22×C3×C4—32no—
324C22×C3×C4—62no—
325C22×C3×C4—64no—
326C2×#67—62no—
327C2×#67—62no—
328C2×#67—62no—
329C2×#67—61no—
330#239—22no—
331#239—24no—
332#239—22no—
333#239—22no—
334#239—22no—
335#239—22no—
336#239#6712yescomplemented
337D3×Q8—22no—
338D3×Q8—22no—
339D3×Q8#6712yescomplemented
340#237—22no—
341#237—22no—
342#237#6712yescomplemented
343D3×D4—24no—
344D3×D4—22no—
345D3×D4—24no—
346D3×D4—22no—
347D3×D4—22no—
348D3×D4—62no—
349D3×D4—62no—
350D3×D4#6712yescomplemented
351#235—24no—
352#235—24no—
353#235—22no—
354#235—22no—
355#235—22no—
356#235C22×D312yes—
357C2×D12—24no—
358C2×D12—22no—
359C2×D12—31no—
360C2×D12—31no—
361C2×D12—61no—
362C2×D12—62no—
363C2×D12—62no—
364C2×D12—61no—
365C2×D12—62no—
366C2×D12#6712yes—
367C2×D12C22×D311yescharacteristic
368C2×D12C22×D311yescharacteristic
369C2×C4×D3—24no—
370C2×C4×D3—22no—
371C2×C4×D3#6712yes—
372C2×C4×D3C22×D311yescharacteristic
373C3×SD16—62no—
374C3×D8—62no—
375C3×M16—32no—
376C3×C22⋊C4—62no—
377C3×C42—31no—
378#217—61no—
379#215—22no—
380#215—62no—
381#215—62no—
382#215—62no—
383#215—62no—
384#215—122no—
385#214—62no—
386#213—22no—
387#213—62no—
388#213—62no—
389#213—62no—
390#213—62no—
391#213—62no—
392#213—122no—
393(C2×D3)⋊C4—22no—
394(C2×D3)⋊C4—61no—
395(C2×D3)⋊C4—62no—
396(C2×D3)⋊C4—62no—
397(C2×D3)⋊C4—122no—
398C4⋊Dic3—61no—
399Dic3⋊C4—61no—
400C4×Dic3—31no—
401C4×Dic3—31no—
402C4×Dic3—61no—
403C4×Dic3C22×D311yescharacteristic
404#208—32no—
405#208—32no—
406#208—62no—
407#208—62no—
408#208C22×D312yes—
409C2×C3⋊C8—62no—
410D24—62no—
411#204—62no—
412ΓL(1,𝔽25)—62no—
413D3×C8—62no—
414C22×C32—22no—
415C22×C32C22×D411yescharacteristic
416C2×C3⋊D3—42no—
417C2×C3⋊D3—41no—
418C2×C3×D3—22no—
419C2×C3×D3—22no—
420C2×C3×D3—41no—
421C2×C3×D3—42no—
422C2×C3×D3—42no—
423C2×C3×D3—41no—
424C2×C3×D3—82no—
425C2×C3×D3—84no—
426C2×C3×D3#12012yes—
427D32—84no—
428C32×C4—22no—
429C32×C4—22no—
430C32×C4C22×D412yes—
431C3⋊Dic3—41no—
432C3×Dic3—22no—
433C3×Dic3—41no—
434C3×Dic3#12011yescharacteristic
435C3×Dic3#12011yescharacteristic
4362−1+4—31no—
4372−1+4—62no—
4382−1+4D3211yescharacteristic, complemented
439H(5,𝔽2)—32no—
440H(5,𝔽2)—62no—
441H(5,𝔽2)—62no—
442C2×#41—31no—
443C2×#41—32no—
444C2×#41—62no—
445C2×#41—62no—
446C2×#41—62no—
447C22×D4—91no—
448AGL(1,ℤ/8)—32no—
449AGL(1,ℤ/8)—92no—
450AGL(1,ℤ/8)—92no—
451AGL(1,ℤ/8)—92no—
452AGL(1,ℤ/8)—182no—
453AGL(1,ℤ/8)—182no—
454C2×SD16—182no—
455C2×D8—182no—
456C2×M16—92no—
457#127—91no—
458#127—91no—
459#124—31no—
460#124—91no—
461#121—182no—
462#120—182no—
463#117—91no—
464#104—32no—
465#104—92no—
466#104—92no—
467#104—92no—
468#101—31no—
469#101—91no—
470#100—92no—
471C23×C3—31no—
472C23×C3—32no—
473C23×C3—62no—
474C23×C3—64no—
475C23×C3—61no—
476C22×D3—24no—
477C22×D3—22no—
478C22×D3—21no—
479C22×D3—61no—
480C22×D3—61no—
481C22×D3—121no—
482C22×D3—122no—
483C22×D3—122no—
484C22×D3—242no—
485C22×D3—242no—
486C22×D3C2×#6712yes—
487C22×D3C2×#6711yescharacteristic
488C3×Q8—22no—
489C3×Q8—22no—
490C3×Q8—22no—
491C3×Q8—22no—
492C3×Q8—22no—
493C3×Q8—32no—
494C3×Q8—42no—
495C3×Q8—42no—
496C3×Q8—62no—
497C3×Q8—62no—
498C3×Q8D3×D412yes—
499C3×Q8C2×#6712yes—
500C3×D4—22no—
501C3×D4—22no—
502C3×D4—22no—
503C3×D4—22no—
504C3×D4—22no—
505C3×D4—32no—
506C3×D4—42no—
507C3×D4—42no—
508C3×D4—64no—
509C3×D4—62no—
510C3×D4—64no—
511C3×D4—62no—
512C3×D4—62no—
513C3×D4—62no—
514C3×D4—64no—
515C3×D4—62no—
516C3×D4—62no—
517C3×D4—62no—
518C3×D4D3×D412yes—
519C3×D4C2×#6712yes—
520C2×C3×C4—24no—
521C2×C3×C4—24no—
522C2×C3×C4—22no—
523C2×C3×C4—22no—
524C2×C3×C4—21no—
525C2×C3×C4—22no—
526C2×C3×C4—31no—
527C2×C3×C4—32no—
528C2×C3×C4—32no—
529C2×C3×C4—42no—
530C2×C3×C4—44no—
531C2×C3×C4—62no—
532C2×C3×C4—62no—
533C2×C3×C4—62no—
534C2×C3×C4—62no—
535C2×C3×C4—64no—
536C2×C3×C4—64no—
537C2×C3×C4—62no—
538C2×C3×C4—62no—
539C2×C3×C4—61no—
540C2×C3×C4D3×D412yes—
541C2×C3×C4C2×#6712yes—
542C2×C3×C4C23×D311yescharacteristic
543C2×C3×C4C23×D311yescharacteristic
544#67—24no—
545#67—22no—
546#67—22no—
547#67—22no—
548#67—121no—
549#67—121no—
550#67—242no—
551#67—242no—
552#67—242no—
553C2×Dic3—22no—
554C2×Dic3—21no—
555C2×Dic3—61no—
556C2×Dic3—61no—
557C2×Dic3—121no—
558C2×Dic3C2×#6711yescharacteristic
559D12—24no—
560D12—22no—
561D12—22no—
562D12—24no—
563D12—22no—
564D12—22no—
565D12—62no—
566D12—62no—
567D12—122no—
568D12—121no—
569D12—121no—
570D12—242no—
571D12C2×#6712yes—
572C4×D3—24no—
573C4×D3—24no—
574C4×D3—22no—
575C4×D3—22no—
576C4×D3—22no—
577C4×D3—22no—
578C4×D3—22no—
579C4×D3C2×#6712yes—
580C4×D3C2×#6712yes—
581Dic6—22no—
582Dic6—22no—
583Dic6C2×#6712yes—
584C3×C8—62no—
585C3⋊C8—22no—
586C3⋊C8—62no—
587C3⋊C8—62no—
588C3⋊C8—122no—
589C2×C32—21no—
590C2×C32—42no—
591C2×C32C2×#12011yescharacteristic
592C3⋊D3—81no—
593C3×D3—22no—
594C3×D3—42no—
595C3×D3—42no—
596C3×D3—81no—
597C24—181no—
598#41—22no—
599#41—22no—
600#41—32no—
601#41—32no—
602#41—32no—
603#41—62no—
604#41—62no—
605#41—64no—
606#41—64no—
607#41—62no—
608#41—62no—
609#41—62no—
610#41—62no—
611#41—62no—
612#41—62no—
613#41—64no—
614#41—62no—
615#41—62no—
616#41C2×D3212yes—
617C2×Q8—22no—
618C2×Q8—32no—
619C2×Q8—62no—
620C2×Q8—62no—
621C2×Q8C2×D3211yescharacteristic
622C2×D4—32no—
623C2×D4—31no—
624C2×D4—31no—
625C2×D4—32no—
626C2×D4—62no—
627C2×D4—64no—
628C2×D4—62no—
629C2×D4—64no—
630C2×D4—62no—
631C2×D4—64no—
632C2×D4—62no—
633C2×D4—91no—
634C2×D4—182no—
635C2×D4—182no—
636C2×D4—181no—
637C2×D4—182no—
638C2×D4—182no—
639C22×C4—31no—
640C22×C4—32no—
641C22×C4—62no—
642C22×C4—64no—
643SD16—62no—
644SD16—182no—
645SD16—182no—
646SD16—182no—
647D8—62no—
648D8—182no—
649D8—182no—
650D8—182no—
651M16—32no—
652M16—92no—
653M16—182no—
654C2×C8—182no—
655C4⋊C4—181no—
656C22⋊C4—62no—
657C22⋊C4—181no—
658C22⋊C4—182no—
659C42—31no—
660C42—91no—
661C22×C3—22no—
662C22×C3—22no—
663C22×C3—21no—
664C22×C3—32no—
665C22×C3—42no—
666C22×C3—62no—
667C22×C3—62no—
668C22×C3—121no—
669C22×C3—122no—
670C22×C3—122no—
671C22×C3—121no—
672C22×C3—242no—
673C22×C3—244no—
674C22×C3C2×D3×D411yescharacteristic
675C22×C3C22×#6711yescharacteristic
676C2×D3—22no—
677C2×D3—22no—
678C2×D3—41no—
679C2×D3—42no—
680C2×D3—42no—
681C2×D3—41no—
682C2×D3—82no—
683C2×D3—84no—
684C2×D3—122no—
685C2×D3—122no—
686C2×D3—121no—
687C2×D3—121no—
688C2×D3—241no—
689C2×D3—242no—
690C2×D3—244no—
691C2×D3—244no—
692C2×D3#95312yes—
693C3×C4—22no—
694C3×C4—22no—
695C3×C4—22no—
696C3×C4—22no—
697C3×C4—22no—
698C3×C4—31no—
699C3×C4—31no—
700C3×C4—42no—
701C3×C4—42no—
702C3×C4—62no—
703C3×C4—121no—
704C3×C4C2×D3×D412yes—
705C3×C4C22×#6712yes—
706Dic3—22no—
707Dic3—41no—
708Dic3—121no—
709Dic3—121no—
710Dic3—241no—
711Dic3#95311yescharacteristic
712Dic3#95311yescharacteristic
713C32#302111yescharacteristic, complemented, Sylow
714C23—31no—
715C23—32no—
716C23—62no—
717C23—64no—
718C23—61no—
719C23—181no—
720C23—362no—
721C23—722no—
722Q8—22no—
723Q8—22no—
724Q8—32no—
725Q8—62no—
726Q8—62no—
727Q8D3×#6712yes—
728D4—22no—
729D4—22no—
730D4—32no—
731D4—64no—
732D4—62no—
733D4—64no—
734D4—62no—
735D4—62no—
736D4—62no—
737D4—64no—
738D4—62no—
739D4—62no—
740D4—62no—
741D4—182no—
742D4—361no—
743D4—361no—
744D4—722no—
745D4—722no—
746D4D3×#6712yes—
747C2×C4—24no—
748C2×C4—22no—
749C2×C4—31no—
750C2×C4—32no—
751C2×C4—32no—
752C2×C4—62no—
753C2×C4—62no—
754C2×C4—62no—
755C2×C4—62no—
756C2×C4—64no—
757C2×C4—64no—
758C2×C4—62no—
759C2×C4—62no—
760C2×C4—61no—
761C2×C4—181no—
762C2×C4D3×#6712yes—
763C2×C4C22×D3211yescharacteristic
764C8—62no—
765C8—182no—
766C2×C3—21no—
767C2×C3—21no—
768C2×C3—21no—
769C2×C3—41no—
770C2×C3—42no—
771C2×C3—42no—
772C2×C3—62no—
773C2×C3—82no—
774C2×C3—122no—
775C2×C3—122no—
776C2×C3—241no—
777C2×C3D3×#12011yescharacteristic
778C2×C3C2×#95311yescharacteristic
779D3—22no—
780D3—42no—
781D3—42no—
782D3—81no—
783D3—241no—
784D3—241no—
785D3—481no—
786C22—22no—
787C22—32no—
788C22—62no—
789C22—62no—
790C22—121no—
791C22—122no—
792C22—122no—
793C22—121no—
794C22—242no—
795C22—244no—
796C22—362no—
797C22—361no—
798C22—724no—
799C22C2×D3×#6711yescharacteristic
800C4—22no—
801C4—22no—
802C4—31no—
803C4—31no—
804C4—62no—
805C4—121no—
806C4—361no—
807C4C2×D3×#6712yes—
808C3—21no—
809C3#8028611yescharacteristic, complemented
810C3#8412211yescharacteristic, complemented
811C2—21no—
812C2—42no—
813C2—62no—
814C2—122no—
815C2—122no—
816C2—241no—
817C2—721no—
818C2D3×#95311yescharacteristic
subgroupG/H
centerC2D3×#953
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×2−1+4C22
socleC2×C32C2×#120
hypercenter2−1+4D32
hypocenterC32#3021
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2 ◁ C2×C4 ◁ 2−1+4

Complements

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

NH ≅ G/Ntype
1. C3×#5968C2semidirect
2. D3×#949C2semidirect
3. #10595426C2semidirect
4. #10592944C2semidirect
5. C3×#5245C2semidirect
6. #10591670C2semidirect
7. #10591666C2semidirect
8. #10591665C2semidirect
9. #10591646C2semidirect
10. #10591645C2semidirect
11. #10591637C2semidirect
14. C32×2−1+4C22semidirect
17. C3×#1009C22semidirect
22. C3×#1007C22semidirect
25. C2×D3×D12C22semidirect
26. #64158C22semidirect
27. #64156C22semidirect
28. C3×#949C22semidirect
29. C3×#947C22semidirect
35. #63914C22semidirect
36. #63911C22semidirect
38. #63855C22semidirect
39. #63825C22semidirect
40. #63823C22semidirect
41. D3×#208C22semidirect
42. #63664C22semidirect
43. #63663C22semidirect
44. C3×#837C22semidirect
45. C3×#836C22semidirect
46. #63569C22semidirect
47. #63568C22semidirect
48. #63558C22semidirect
50. #5968D3semidirect
61. #5245D3semidirect
85. C3×#239D4semidirect
88. C3×D3×Q8D4semidirect
91. C3×#237D4semidirect
97. C3×D3×D4D4semidirect
140. C3×2−1+4C2×D3semidirect
141. C3×2−1+4C2×D3semidirect
152. #1009C2×D3semidirect
157. #1007C2×D3semidirect
171. #949C2×D3semidirect
175. #947C2×D3semidirect
203. #837C2×D3semidirect
207. #836C2×D3semidirect
336. #239#67semidirect
339. D3×Q8#67semidirect
342. #237#67semidirect
350. D3×D4#67semidirect
438. 2−1+4D32semidirect
713. C32#3021semidirect
809. C3#80286semidirect
810. C3#84122semidirect

Maximal subgroups

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

subgroupindex
C3×#59682
D3×#9492
#105954262
#105929442
C3×#52452
#105916702
#105916662
#105916652
#105916462
#105916452
#105916372
#841223
#802863