Finite Group Databasebeta

← #11864617

Subgroups — #11864617

Order 1152.

1629 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64308C211yesmaximal, characteristic, complemented
2C2×C3×#904C211yesmaximal, characteristic, complemented
3#10595044C211yesmaximal, characteristic, complemented
4C2×#63825C211yesmaximal, characteristic, complemented
5C2×#63648C211yesmaximal, characteristic, complemented
6C3×#5110C211yesmaximal, characteristic, complemented
7#10591088C211yesmaximal, characteristic, complemented
8#10590966C212yesmaximal, complemented
9#10590944C212yesmaximal, complemented
10#10590942C212yesmaximal, complemented
11#10590823C212yesmaximal, complemented
12#83912—31nomaximal
13#78672—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17C2×C3×#235C2211yescharacteristic, complemented
18C2×#3811—22no—
19#64308—24no—
20#64308—24no—
21C2×D3×D12—21no—
22C2×D3×D12C2212yes—
23C2×#3799—21no—
24C2×#3799C2212yes—
25C22×C32×C8C2211yescharacteristic, complemented
26C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
27C2×C3×#208C2211yescharacteristic, complemented
28C2×C3×Dic12C2211yescharacteristic, complemented
29C3×#904—24no—
30C2×C3×D24C2211yescharacteristic, complemented
31C2×C3×#204C2211yescharacteristic, complemented
32C2×C3×#204C2211yescharacteristic, complemented
33#63980—22no—
34#63908—21no—
35#63908C2212yescomplemented
36#63856—21no—
37#63856C2212yescomplemented
38C2×#3717C2212yescomplemented
39#63825—24no—
40C2×#3714C2212yescomplemented
41#63648C2212yescomplemented
42#63648C2212yescomplemented
43C3×(C2×D3)⋊C8C2212yescomplemented
44C3×(C2×D3)⋊C8C2212yescomplemented
45#63566C2212yescomplemented
46#63563C2212yescomplemented
47C2×#1009—31no—
48C2×#1009—31no—
49C2×C3×#135—31no—
50#5833—31no—
51#5833—31no—
52C2×#949—31no—
53C2×#908—31no—
54C2×#904D311yescharacteristic, complemented
55C3×#408—31no—
56#5232—31no—
57#5187—32no—
58#5172—32no—
59#5169—32no—
60#5156—32no—
61#5133—31no—
62C2×#821—31no—
63C2×#821—31no—
64C2×#821—61no—
65#5110D311yescharacteristic, complemented
66#4734—32no—
67#4733—32no—
68#4732—32no—
69#4731—32no—
70C23×C3⋊D3—21no—
71C22×D32—22no—
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3—21no—
74C2×C4⋊(C3⋊D3)—21no—
75C2×C4⋊(C3⋊D3)—22no—
76C2×C4⋊(C3⋊D3)D414yescomplemented
77C2×C4⋊(C3⋊D3)C2312yes—
78C2×C3×#67—21no—
79C2×C3×#67—21no—
80C2×C3×#67D412yes—
81C3×#235—22no—
82C3×#235—22no—
83C3×#235—22no—
84C3×#235—22no—
85C3×#235—22no—
86C3×#235D414yescomplemented
87C2×C3×D12D411yescharacteristic
88C2×C3×D12C2311yescharacteristic
89C2×C3×D12C2311yescharacteristic
90C2×C3×C4×D3—21no—
91C2×C3×C4×D3—21no—
92C2×C3×C4×D3C2312yes—
93C2×C3×Dic6D411yescharacteristic
94C2×C3×Dic6C2311yescharacteristic
95C2×C3×Dic6C2311yescharacteristic
96#3811—216no—
97C2×#626—22no—
98C2×#626—22no—
99C2×#625—22no—
100C2×#624—22no—
101D3×D12—28no—
102D3×D12—24no—
103D3×D12—24no—
104#3799—28no—
105#3799—24no—
106#3799—24no—
107C2×C32×C8—22no—
108C2×C32×C8C2311yescharacteristic
109C2×C32×C8C2311yescharacteristic
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2312yes—
112C3×#208—22no—
113C2×C3×C3⋊C8C2312yes—
114C3×Dic12—22no—
115C3×D24—22no—
116C3×#204—22no—
117C3×#204—22no—
118#3724—22no—
119(C2×D3)⋊Dic3—22no—
120(C2×D3)⋊Dic3—22no—
121#3717—24no—
122#3714—24no—
123#3012—91noSylow
124C2×C3×#41—31no—
125C2×C3×#41—31no—
126C2×C3×#41—31no—
127#1009—64no—
128#1009—64no—
129#1009—64no—
130#1009—64no—
131C2×#239—32no—
132C2×#239—61no—
133C2×D3×D4—32no—
134C2×D3×D4—61no—
135C2×D3×D4—62no—
136C2×D3×D4—62no—
137C2×#235—32no—
138C2×#235—61no—
139C2×#235C2×D311yescharacteristic
140C2×#235C2×D311yescharacteristic
141C2×#235C2×D311yescharacteristic, complemented
142C22×D12—31no—
143C22×D12—31no—
144C22×D12—32no—
145C22×D12—61no—
146C22×D12—61no—
147C3×#135—64no—
148C2×C3×Q16—31no—
149C2×C3×SD16—31no—
150C2×C3×SD16—31no—
151C2×C3×D8—31no—
152C2×C3×M16—31no—
153C22×C3×C8—21no—
154C22×C3×C8C2×D311yescharacteristic, complemented
155C22×C3×C8C2×D311yescharacteristic, complemented
156#949—64no—
157#946—32no—
158#946—61no—
159C2×#215—32no—
160#939—62no—
161#939—62no—
162#938—32no—
163#938—61no—
164C2×#213—32no—
165#930—32no—
166#930—61no—
167C2×C4⋊Dic3—31no—
168C2×C4⋊Dic3—31no—
169C2×C4⋊Dic3—61no—
170#924—32no—
171#924—61no—
172C2×#208C2×D311yescharacteristic, complemented
173#908—64no—
174C2×Dic12C2×D311yescharacteristic, complemented
175#904—24no—
176C2×D24—32no—
177C2×D24C2×D311yescharacteristic, complemented
178C2×#204—32no—
179C2×#204C2×D311yescharacteristic, complemented
180C2×#204C2×D311yescharacteristic, complemented
181C3×C22⋊C8—32no—
182C3×C22⋊C8—32no—
183#835—32no—
184#832—32no—
185#821—32no—
186#821—32no—
187#821—32no—
188#821—32no—
189#821—32no—
190#821—62no—
191#821—62no—
192(C2×D3)⋊C8C2×D312yescomplemented
193(C2×D3)⋊C8C2×D312yescomplemented
194#816—32no—
195C23×C32C2×D411yescharacteristic
196C22×C3⋊D3—22no—
197C22×C3⋊D3—24no—
198C22×C3⋊D3—81no—
199C22×C3⋊D3—81no—
200C22×C3×D3—21no—
201C22×C3×D3—21no—
202C22×C3×D3C2×D412yes—
203C2×D32—28no—
204C2×D32—82no—
205C2×D32—82no—
206C2×C32×C4C2×D411yescharacteristic
207C2×C32×C4C2×D412yes—
208C2×C32×C4C2×D412yes—
209C2×C32×C4C2411yescharacteristic
210C2×C3⋊Dic3—22no—
211C2×C3⋊Dic3—81no—
212C4⋊(C3⋊D3)—24no—
213C4⋊(C3⋊D3)—22no—
214C4⋊(C3⋊D3)C2×D414yes—
215C3×#67—24no—
216C3×#67—24no—
217C3×#67—42no—
218C2×C3×Dic3—21no—
219C2×C3×Dic3—21no—
220C2×C3×Dic3C2×D412yes—
221C3×D12—22no—
222C3×D12—21no—
223C3×D12—21no—
224C3×D12—21no—
225C3×D12C2×D412yes—
226C3×C4×D3—24no—
227C3×C4×D3—22no—
228C3×C4×D3—22no—
229C3×C4×D3—42no—
230C3×Dic6—22no—
231C3×Dic6—21no—
232C3×Dic6—21no—
233C3×Dic6—21no—
234C3×Dic6C2×D412yes—
235#626—28no—
236#626—28no—
237#625—82no—
238#624—28no—
239C32×C8—21no—
240C32×C8—21no—
241C3×C3⋊C8—22no—
242C2×H(5,𝔽2)—91no—
243C2×AGL(1,ℤ/8)—91no—
244C2×#135—31no—
245#537—91no—
246#452—92no—
247#450—92no—
248#449—92no—
249#447—92no—
250#417—91no—
251C2×#102—91no—
252#408—31no—
253C23×D3—62no—
254C23×D3—61no—
255C23×D3—61no—
256C23×D3—62no—
257C23×D3—121no—
258C3×#41—34no—
259C3×#41—62no—
260C3×#41—62no—
261C3×#41—62no—
262C3×#41—62no—
263C3×#41—62no—
264C2×C3×Q8—31no—
265C2×C3×Q8—31no—
266C2×C3×Q8—31no—
267C2×C3×D4—32no—
268C2×C3×D4—31no—
269C2×C3×D4—31no—
270C2×C3×D4—31no—
271C2×C3×D4—61no—
272C2×C3×D4—61no—
273C22×C3×C4—21no—
274C22×C3×C4—32no—
275C22×C3×C4—61no—
276C22×C3×C4—61no—
277C22×C3×C4C22×D311yescharacteristic
278C22×C3×C4C22×D311yescharacteristic
279C2×#67—21no—
280C2×#67—21no—
281C2×#67—62no—
282C2×#67—62no—
283C2×#67—62no—
284C2×#67—62no—
285C2×#67D1212yes—
286C22×Dic3—61no—
287C22×Dic3—61no—
288C22×Dic3—121no—
289#239—64no—
290#239—64no—
291#239—68no—
292D3×D4—64no—
293D3×D4—64no—
294D3×D4—68no—
295D3×D4—616no—
296D3×D4—616no—
297#235—22no—
298#235—22no—
299#235—22no—
300#235—22no—
301#235—22no—
302#235—64no—
303#235—68no—
304#235—64no—
305#235#6714yescomplemented
306C2×D12—34no—
307C2×D12—34no—
308C2×D12—32no—
309C2×D12—32no—
310C2×D12—62no—
311C2×D12—64no—
312C2×D12—64no—
313C2×D12—68no—
314C2×D12—62no—
315C2×D12—62no—
316C2×D12—61no—
317C2×D12—61no—
318C2×D12—62no—
319C2×D12—62no—
320C2×D12—64no—
321C2×D12—121no—
322C2×D12—122no—
323C2×D12D1211yescharacteristic
324C2×D12C22×D311yescharacteristic
325C2×D12C22×D311yescharacteristic
326C2×C4×D3—21no—
327C2×C4×D3—21no—
328C2×C4×D3—62no—
329C2×C4×D3—62no—
330C2×C4×D3C22×D312yes—
331C2×Dic6D1211yescharacteristic
332C2×Dic6C22×D311yescharacteristic
333C2×Dic6C22×D311yescharacteristic
334C3×Q16—62no—
335C3×SD16—62no—
336C3×SD16—62no—
337C3×D8—62no—
338C3×M16—62no—
339C2×C3×C8—22no—
340C2×C3×C8—22no—
341C2×C3×C8—21no—
342C2×C3×C8—21no—
343C2×C3×C8—32no—
344C2×C3×C8—42no—
345C2×C3×C8C22×D311yescharacteristic
346C2×C3×C8C22×D311yescharacteristic
347C2×C3×C8C22×D311yescharacteristic
348C2×C3×C8C22×D311yescharacteristic
349#217—62no—
350#217—62no—
351#215—64no—
352#213—64no—
353(C2×D3)⋊C4—62no—
354(C2×D3)⋊C4—62no—
355C4⋊Dic3—32no—
356C4⋊Dic3—32no—
357C4⋊Dic3—62no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—121no—
361Dic3⋊C4—62no—
362Dic3⋊C4—62no—
363#208—22no—
364C2×C3⋊C8C22×D312yes—
365Dic12—22no—
366D24—22no—
367D24—64no—
368#204—22no—
369#204—22no—
370#204—64no—
371C22×C32—21no—
372C22×C32—21no—
373C22×C32#12012yes—
374C22×C32C22×D411yescharacteristic
375C2×C3⋊D3—24no—
376C2×C3⋊D3—42no—
377C2×C3⋊D3—42no—
378C2×C3⋊D3—84no—
379C2×C3×D3—22no—
380C2×C3×D3—22no—
381C2×C3×D3—22no—
382C2×C3×D3—22no—
383C2×C3×D3—41no—
384C2×C3×D3—41no—
385C2×C3×D3—41no—
386C2×C3×D3—41no—
387C2×C3×D3—41no—
388D32—88no—
389C32×C4#12012yes—
390C32×C4C22×D411yescharacteristic
391C32×C4C22×D411yescharacteristic
392C3⋊Dic3—42no—
393C3×Dic3—22no—
394C3×Dic3—22no—
395C3×Dic3—41no—
396H(5,𝔽2)—184no—
397H(5,𝔽2)—184no—
398C2×#41—31no—
399C2×#41—31no—
400C2×#41—31no—
401C2×#41—92no—
402C2×#41—181no—
403C22×D4—92no—
404C22×D4—91no—
405C22×D4—181no—
406C22×D4—182no—
407AGL(1,ℤ/8)—184no—
408#135—64no—
409C2×Q16—31no—
410C2×SD16—31no—
411C2×SD16—31no—
412C2×SD16—92no—
413C2×D8—31no—
414C2×D8—92no—
415C2×M16—31no—
416C22×C8D3211yescharacteristic, complemented
417C22⋊Q8—92no—
418C22⋊Q8—181no—
419#121—92no—
420#121—181no—
421#121—182no—
422C2×C4⋊C4—91no—
423#103—92no—
424#102—92no—
425#102—92no—
426#102—92no—
427C22⋊C8—32no—
428C22⋊C8—32no—
429C23×C3—21no—
430C23×C3—32no—
431C23×C3—61no—
432C23×C3—61no—
433C23×C3C2×D1211yescharacteristic
434C23×C3D3×D411yescharacteristic
435C22×D3—21no—
436C22×D3—21no—
437C22×D3—68no—
438C22×D3—68no—
439C22×D3—62no—
440C22×D3—62no—
441C22×D3—64no—
442C22×D3—64no—
443C22×D3—122no—
444C22×D3—124no—
445C22×D3—242no—
446C22×D3—242no—
447C22×D3—242no—
448C22×D3—242no—
449C22×D3—241no—
450C22×D3—241no—
451C22×D3—241no—
452C22×D3—241no—
453C22×D3—242no—
454C22×D3—242no—
455C22×D3C2×D1212yes—
456C3×Q8—32no—
457C3×Q8—62no—
458C3×Q8—61no—
459C3×Q8—61no—
460C3×Q8—61no—
461C3×D4—32no—
462C3×D4—64no—
463C3×D4—64no—
464C3×D4—62no—
465C3×D4—61no—
466C3×D4—61no—
467C3×D4—61no—
468C3×D4—122no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—22no—
472C2×C3×C4—22no—
473C2×C3×C4—32no—
474C2×C3×C4—61no—
475C2×C3×C4—64no—
476C2×C3×C4—62no—
477C2×C3×C4—62no—
478C2×C3×C4—61no—
479C2×C3×C4—122no—
480C2×C3×C4C2×D1211yescharacteristic
481C2×C3×C4D3×D411yescharacteristic
482C2×C3×C4D3×D412yes—
483C2×C3×C4D3×D412yes—
484C2×C3×C4D3×D412yes—
485C2×C3×C4C2×#6712yes—
486C2×C3×C4C23×D311yescharacteristic
487C2×C3×C4C23×D311yescharacteristic
488#67—24no—
489#67—24no—
490#67—42no—
491#67—68no—
492#67—68no—
493#67—242no—
494#67—242no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—62no—
498C2×Dic3—62no—
499C2×Dic3—122no—
500C2×Dic3—241no—
501C2×Dic3—241no—
502C2×Dic3—242no—
503C2×Dic3C2×D1212yes—
504D12—22no—
505D12—21no—
506D12—21no—
507D12—21no—
508D12—34no—
509D12—34no—
510D12—64no—
511D12—68no—
512D12—68no—
513D12—64no—
514D12—64no—
515D12—62no—
516D12—62no—
517D12—122no—
518D12—124no—
519D12C2×#6712yes—
520C4×D3—24no—
521C4×D3—22no—
522C4×D3—22no—
523C4×D3—42no—
524C4×D3—68no—
525C4×D3—68no—
526Dic6—22no—
527Dic6—21no—
528Dic6—21no—
529Dic6—21no—
530Dic6C2×#6712yes—
531C3×C8—21no—
532C3×C8—21no—
533C3×C8—21no—
534C3×C8—21no—
535C3×C8—41no—
536C3×C8—41no—
537C3×C8—62no—
538C3⋊C8—22no—
539C2×C32—22no—
540C2×C32C2×#12011yescharacteristic
541C2×C32#57611yescharacteristic
542C2×C32#57711yescharacteristic
543C3⋊D3—44no—
544C3×D3—42no—
545C3×D3—42no—
546C3×D3—81no—
547C24—182no—
548C24—181no—
549#41—34no—
550#41—62no—
551#41—62no—
552#41—62no—
553#41—62no—
554#41—62no—
555#41—184no—
556#41—184no—
557#41—188no—
558C2×Q8—31no—
559C2×Q8—31no—
560C2×Q8—31no—
561C2×D4—32no—
562C2×D4—31no—
563C2×D4—31no—
564C2×D4—31no—
565C2×D4—61no—
566C2×D4—61no—
567C2×D4—92no—
568C2×D4—94no—
569C2×D4—182no—
570C2×D4—184no—
571C2×D4—184no—
572C2×D4—188no—
573C2×D4—182no—
574C2×D4—1816no—
575C2×D4—182no—
576C2×D4—181no—
577C2×D4—182no—
578C22×C4—32no—
579C22×C4—61no—
580C22×C4—61no—
581C22×C4—182no—
582C22×C4—181no—
583C22×C4C2×D3211yescharacteristic
584Q16—62no—
585SD16—62no—
586SD16—62no—
587SD16—184no—
588D8—62no—
589D8—184no—
590M16—62no—
591C2×C8—22no—
592C2×C8—32no—
593C2×C8C2×D3211yescharacteristic
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—92no—
596C4⋊C4—182no—
597C4⋊C4—181no—
598C22⋊C4—182no—
599C22⋊C4—182no—
600C22×C3—22no—
601C22×C3—22no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—22no—
608C22×C3—62no—
609C22×C3—62no—
610C22×C3—62no—
611C22×C3—62no—
612C22×C3—121no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3#88212yes—
618C22×C3#93712yes—
619C22×C3C22×D1211yescharacteristic
620C22×C3C2×D3×D411yescharacteristic
621C2×D3—22no—
622C2×D3—22no—
623C2×D3—22no—
624C2×D3—22no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—64no—
631C2×D3—64no—
632C2×D3—124no—
633C2×D3—122no—
634C2×D3—122no—
635C2×D3—122no—
636C2×D3—122no—
637C2×D3—242no—
638C2×D3—242no—
639C2×D3—248no—
640C2×D3—248no—
641C2×D3—244no—
642C2×D3—244no—
643C2×D3—248no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—22no—
647C3×C4—62no—
648C3×C4—62no—
649C3×C4—121no—
650C3×C4#88212yes—
651C3×C4#93712yes—
652C3×C4C2×D3×D411yescharacteristic
653C3×C4C2×D3×D411yescharacteristic
654C3×C4C2×D3×D411yescharacteristic
655C3×C4C22×#6711yescharacteristic
656Dic3—22no—
657Dic3—22no—
658Dic3—41no—
659Dic3—122no—
660Dic3—122no—
661Dic3—242no—
662C32#301211yescharacteristic, complemented, Sylow
663C23—32no—
664C23—61no—
665C23—61no—
666C23—188no—
667C23—182no—
668C23—184no—
669C23—721no—
670C23—721no—
671C23—722no—
672C23—722no—
673C23D3×D1211yescharacteristic
674Q8—32no—
675Q8—61no—
676Q8—62no—
677Q8—61no—
678Q8—61no—
679D4—32no—
680D4—64no—
681D4—64no—
682D4—61no—
683D4—61no—
684D4—61no—
685D4—62no—
686D4—94no—
687D4—122no—
688D4—188no—
689D4—188no—
690D4—182no—
691D4—184no—
692D4—722no—
693C2×C4—32no—
694C2×C4—61no—
695C2×C4—62no—
696C2×C4—62no—
697C2×C4—64no—
698C2×C4—61no—
699C2×C4—122no—
700C2×C4—188no—
701C2×C4—182no—
702C2×C4—721no—
703C2×C4D3×D1211yescharacteristic
704C2×C4#380212yes—
705C2×C4D3×#6712yes—
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—21no—
709C8—62no—
710C2×C3—24no—
711C2×C3—22no—
712C2×C3—22no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—122no—
717C2×C3—122no—
718C2×C3—241no—
719C2×C3C2×#88211yescharacteristic
720C2×C3#575111yescharacteristic
721C2×C3#575211yescharacteristic
722C2×C3#576911yescharacteristic
723C2×C3#577011yescharacteristic
724C2×C3C2×#93711yescharacteristic
725D3—42no—
726D3—42no—
727D3—81no—
728D3—124no—
729D3—124no—
730D3—244no—
731C22—21no—
732C22—21no—
733C22—62no—
734C22—62no—
735C22—62no—
736C22—62no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—184no—
743C22—362no—
744C22—362no—
745C22—724no—
746C22—728no—
747C22#6392212yes—
748C22C2×D3×D1211yescharacteristic
749C4—62no—
750C4—62no—
751C4—121no—
752C4—362no—
753C4#6392212yes—
754C4C2×#380211yescharacteristic
755C4C2×D3×#6711yescharacteristic
756C3—21no—
757C3#7867211yescharacteristic, complemented
758C3#8391211yescharacteristic, complemented
759C2—22no—
760C2—122no—
761C2—122no—
762C2—241no—
763C2—364no—
764C2#1059467911yescharacteristic
765C2#1059468011yescharacteristic
766C2C2×#6392211yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×C8C22
socleC22×C32C22×D4
hypercenterC22×C8D32
hypocenterC32#3012
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
1. C2×#64308C2semidirect
2. C2×C3×#904C2semidirect
3. #10595044C2semidirect
4. C2×#63825C2semidirect
5. C2×#63648C2semidirect
6. C3×#5110C2semidirect
7. #10591088C2semidirect
8. #10590966C2semidirect
9. #10590944C2semidirect
10. #10590942C2semidirect
11. #10590823C2semidirect
17. C2×C3×#235C22semidirect
25. C22×C32×C8C22semidirect
26. C2×C4⋊(C3⋊Dic3)C22semidirect
27. C2×C3×#208C22semidirect
28. C2×C3×Dic12C22semidirect
30. C2×C3×D24C22semidirect
31. C2×C3×#204C22semidirect
32. C2×C3×#204C22semidirect
35. #63908C22semidirect
37. #63856C22semidirect
38. C2×#3717C22semidirect
40. C2×#3714C22semidirect
41. #63648C22semidirect
42. #63648C22semidirect
43. C3×(C2×D3)⋊C8C22semidirect
44. C3×(C2×D3)⋊C8C22semidirect
45. #63566C22semidirect
46. #63563C22semidirect
54. C2×#904D3semidirect
65. #5110D3semidirect
76. C2×C4⋊(C3⋊D3)D4semidirect
86. C3×#235D4semidirect
141. C2×#235C2×D3semidirect
154. C22×C3×C8C2×D3semidirect
155. C22×C3×C8C2×D3semidirect
172. C2×#208C2×D3semidirect
174. C2×Dic12C2×D3semidirect
177. C2×D24C2×D3semidirect
179. C2×#204C2×D3semidirect
180. C2×#204C2×D3semidirect
192. (C2×D3)⋊C8C2×D3semidirect
193. (C2×D3)⋊C8C2×D3semidirect
305. #235#67semidirect
416. C22×C8D32semidirect
662. C32#3012semidirect
757. C3#78672semidirect
758. C3#83912semidirect

Maximal subgroups

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

subgroupindex
C2×#643082
C2×C3×#9042
#105950442
C2×#638252
C2×#636482
C3×#51102
#105910882
#105909662
#105909442
#105909422
#105908232
#839123
#786723