Finite Group Databasebeta

← #11864616

Subgroups — #11864616

Order 1152.

1607 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64307C211yesmaximal, characteristic, complemented
2C2×C3×#904C211yesmaximal, characteristic, complemented
3#10595043C211yesmaximal, characteristic, complemented
4C2×#63823C211yesmaximal, characteristic, complemented
5#10592809C211yesmaximal, characteristic, complemented
6C2×C3×#821C211yesmaximal, characteristic, complemented
7#10591087C211yesmaximal, characteristic, complemented
8#10590965C212yesmaximal, complemented
9#10590964C212yesmaximal, complemented
10#10590945C212yesmaximal, complemented
11#10590943C212yesmaximal, complemented
12#83912—31nomaximal
13#78747—31nomaximal
14C2×#3828C2211yescharacteristic
15C2×C3×#235C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic, complemented
17C22×C3×D12C2211yescharacteristic
18C2×D3×#67—22no—
19#64307—24no—
20#64307—24no—
21C2×#3802C2212yes—
22C2×D3×D12—21no—
23C2×#3796C2212yes—
24C2×#3795—21no—
25C22×C32×C8C2211yescharacteristic, complemented
26C2×#3748C2211yescharacteristic, complemented
27C2×C3×C4⋊Dic3C2211yescharacteristic, complemented
28C2×C3×Dic12C2211yescharacteristic, complemented
29C3×#904—24no—
30C2×C3×D24C2211yescharacteristic, complemented
31C2×C3×#204C2211yescharacteristic, complemented
32C2×C3×#204C2211yescharacteristic, complemented
33#63978—22no—
34#63916C2212yescomplemented
35#63909—21no—
36#63871C2212yescomplemented
37#63857—21no—
38C2×#3715C2212yescomplemented
39#63823—24no—
40C2×#3713C2212yescomplemented
41#63647C2212yescomplemented
42#63647C2212yescomplemented
43C3×#821C2212yescomplemented
44C3×#821C2212yescomplemented
45#63565C2212yescomplemented
46#63562C2212yescomplemented
47C2×#1009—31no—
48C2×#1004—31no—
49C2×C3×#135—31no—
50#5833—31no—
51C2×#949—31no—
52C2×#932—31no—
53C2×#904D311yescharacteristic, complemented
54#5510—31no—
55C2×C3×#102—31no—
56#5232—31no—
57#5187—32no—
58#5172—32no—
59#5169—32no—
60#5156—32no—
61C2×#821D311yescharacteristic, complemented
62#5110—31no—
63#5110—31no—
64#5110—61no—
65#4966—31no—
66#4783—32no—
67#4781—32no—
68#4776—32no—
69#4773—32no—
70C23×C3×D3—21no—
71C22×D32—22no—
72C22×C32×C4C2311yescharacteristic
73C2×#638D412yes—
74#3828—22no—
75#3828—22no—
76C2×C4⋊(C3⋊D3)D411yescharacteristic
77C2×C4×C3⋊D3C2312yes—
78C2×#634D411yescharacteristic
79C2×C3×#67—21no—
80C2×C3×#67—21no—
81C22×C3×Dic3—21no—
82C3×#235—22no—
83C3×#235—22no—
84C3×#235—22no—
85C3×#235D414yescomplemented
86C2×C3×D12—21no—
87C2×C3×D12—22no—
88C2×C3×D12D414yescomplemented
89C2×C3×D12C2311yescharacteristic
90C2×C3×D12C2311yescharacteristic
91C2×C3×D12C2312yes—
92C2×C3×C4×D3—21no—
93C2×C3×C4×D3—21no—
94C2×C3×Dic6C2311yescharacteristic
95C2×C3×Dic6C2311yescharacteristic
96D3×#67—216no—
97C2×#626—22no—
98C2×#626—22no—
99C2×#625—22no—
100C2×D3×Dic3—22no—
101#3802—24no—
102#3802—24no—
103D3×D12—28no—
104#3796—24no—
105#3796—24no—
106#3795—28no—
107C2×C32×C8—22no—
108C2×C32×C8C2311yescharacteristic
109C2×C32×C8C2311yescharacteristic
110#3748—22no—
111C2×C3⋊(C3⋊C8)C2312yes—
112C3×C4⋊Dic3—21no—
113C3×C4⋊Dic3C2312yes—
114C3×Dic12—22no—
115C3×D24—22no—
116C3×#204—22no—
117C3×#204—22no—
118Dic3⋊Dic3—22no—
119#3722—22no—
120(C2×D3)⋊Dic3—22no—
121#3715—24no—
122#3713—24no—
123#3012—91noSylow
124C2×C3×#41—31no—
125C2×C3×#41—31no—
126C22×C3×D4—31no—
127C22×#67—62no—
128#1009—64no—
129#1009—64no—
130C2×#239—32no—
131#1004—64no—
132#1004—64no—
133C2×#237—32no—
134C2×#237—61no—
135C2×D3×D4—32no—
136C2×D3×D4—32no—
137C2×D3×D4—61no—
138C2×D3×D4—62no—
139C2×#235—31no—
140C2×#235—31no—
141C2×#235—61no—
142C2×#235—61no—
143C2×#235C2×D311yescharacteristic
144C2×#235C2×D311yescharacteristic, complemented
145C22×D12—61no—
146C22×D12C2×D311yescharacteristic
147C3×#135—64no—
148C2×C3×Q16—31no—
149C2×C3×SD16—31no—
150C2×C3×SD16—31no—
151C2×C3×D8—31no—
152C22×C3×C8—21no—
153C22×C3×C8C2×D311yescharacteristic, complemented
154C22×C3×C8C2×D311yescharacteristic, complemented
155C2×C3×C4⋊C4—31no—
156#949—64no—
157#946—32no—
158C2×#215—32no—
159#939—62no—
160#938—32no—
161C2×#214—32no—
162#932—64no—
163C2×#213—32no—
164C2×#213—32no—
165#930—61no—
166#930—62no—
167C2×C4⋊Dic3C2×D311yescharacteristic, complemented
168#924—61no—
169C2×#208—31no—
170C2×#208—31no—
171C2×#208—61no—
172C2×Dic12C2×D311yescharacteristic, complemented
173#904—24no—
174C2×D24C2×D311yescharacteristic, complemented
175C2×#204C2×D311yescharacteristic, complemented
176C2×#204C2×D311yescharacteristic, complemented
177#897—32no—
178#897—61no—
179#895—32no—
180#895—61no—
181C3×#102—32no—
182C3×#102—32no—
183#835—32no—
184#832—32no—
185#821C2×D312yescomplemented
186#821C2×D312yescomplemented
187(C2×D3)⋊C8—32no—
188(C2×D3)⋊C8—32no—
189(C2×D3)⋊C8—32no—
190(C2×D3)⋊C8—32no—
191(C2×D3)⋊C8—62no—
192(C2×D3)⋊C8—62no—
193#810—32no—
194#809—32no—
195C23×C32C2×D411yescharacteristic
196C22×C3⋊D3C2×D412yes—
197C22×C3×D3—21no—
198C22×C3×D3—22no—
199C22×C3×D3—24no—
200C22×C3×D3—21no—
201C22×C3×D3—81no—
202C22×C3×D3—81no—
203C2×D32—28no—
204C2×D32—82no—
205C2×D32—82no—
206C2×C32×C4C2×D412yes—
207C2×C32×C4C2×D411yescharacteristic
208C2×C32×C4C2×D412yes—
209C2×C32×C4C2411yescharacteristic
210#638—24no—
211C2×C3⋊Dic3C2×D412yes—
212C4⋊(C3⋊D3)—22no—
213C4×C3⋊D3—22no—
214C4×C3⋊D3—22no—
215#634—22no—
216C3×#67—24no—
217C3×#67—42no—
218C2×C3×Dic3—21no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3—21no—
221C2×C3×Dic3—81no—
222C3×D12—24no—
223C3×D12—22no—
224C3×D12—21no—
225C3×D12—21no—
226C3×D12—21no—
227C3×D12C2×D414yes—
228C3×D12C2×D412yes—
229C3×C4×D3—24no—
230C3×C4×D3—42no—
231C3×Dic6—21no—
232C3×Dic6—21no—
233C3×Dic6—21no—
234C3×Dic6C2×D412yes—
235#626—28no—
236#626—82no—
237#625—28no—
238D3×Dic3—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—31no—
252#408—91no—
253C24×C3—61no—
254C23×D3—21no—
255C23×D3—62no—
256C23×D3—62no—
257C3×#41—34no—
258C3×#41—62no—
259C3×#41—62no—
260C3×#41—62no—
261C2×C3×Q8—31no—
262C2×C3×Q8—31no—
263C2×C3×D4—34no—
264C2×C3×D4—31no—
265C2×C3×D4—32no—
266C2×C3×D4—31no—
267C2×C3×D4—61no—
268C2×C3×D4—61no—
269C2×C3×D4—61no—
270C2×C3×D4—62no—
271C22×C3×C4—21no—
272C22×C3×C4—61no—
273C22×C3×C4—61no—
274C22×C3×C4—61no—
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C2×#67—21no—
278C2×#67—21no—
279C2×#67—32no—
280C2×#67—32no—
281C2×#67—62no—
282C2×#67—62no—
283C2×#67—62no—
284C2×#67—62no—
285C2×#67—62no—
286C2×#67—616no—
287C22×Dic3—21no—
288C22×Dic3—62no—
289#239—64no—
290#239—64no—
291#237—64no—
292#237—68no—
293#237—64no—
294D3×D4—68no—
295D3×D4—64no—
296D3×D4—64no—
297D3×D4—616no—
298D3×D4—64no—
299D3×D4—64no—
300#235—22no—
301#235—22no—
302#235—22no—
303#235—68no—
304#235—62no—
305#235—62no—
306#235—62no—
307#235—62no—
308#235—122no—
309#235—122no—
310#235#6714yescomplemented
311C2×D12—21no—
312C2×D12—22no—
313C2×D12—31no—
314C2×D12—31no—
315C2×D12—61no—
316C2×D12—68no—
317C2×D12—62no—
318C2×D12—62no—
319C2×D12D1214yescomplemented
320C2×D12C22×D311yescharacteristic
321C2×D12C22×D312yes—
322C2×D12C22×D311yescharacteristic
323C2×C4×D3—21no—
324C2×C4×D3—21no—
325C2×C4×D3—32no—
326C2×C4×D3—32no—
327C2×C4×D3—62no—
328C2×C4×D3—62no—
329C2×Dic6—31no—
330C2×Dic6—31no—
331C2×Dic6—61no—
332C2×Dic6C22×D311yescharacteristic
333C2×Dic6C22×D311yescharacteristic
334C3×Q16—62no—
335C3×SD16—62no—
336C3×SD16—62no—
337C3×D8—62no—
338C2×C3×C8—22no—
339C2×C3×C8—22no—
340C2×C3×C8—21no—
341C2×C3×C8—21no—
342C2×C3×C8—42no—
343C2×C3×C8C22×D311yescharacteristic
344C2×C3×C8C22×D311yescharacteristic
345C2×C3×C8C22×D311yescharacteristic
346C2×C3×C8C22×D311yescharacteristic
347C3×C4⋊C4—32no—
348C3×C4⋊C4—61no—
349#217—62no—
350#215—64no—
351#214—64no—
352#213—64no—
353#213—64no—
354(C2×D3)⋊C4—62no—
355(C2×D3)⋊C4—62no—
356(C2×D3)⋊C4—62no—
357C4⋊Dic3—21no—
358C4⋊Dic3—62no—
359C4⋊Dic3C22×D312yes—
360Dic3⋊C4—62no—
361#208—62no—
362#208—62no—
363#208—122no—
364C2×C3⋊C8—32no—
365C2×C3⋊C8—32no—
366C2×C3⋊C8—62no—
367Dic12—22no—
368D24—22no—
369#204—22no—
370#204—22no—
371C22×C32—21no—
372C22×C32—21no—
373C22×C32#12012yes—
374C22×C32C22×D411yescharacteristic
375C2×C3⋊D3—22no—
376C2×C3⋊D3—22no—
377C2×C3⋊D3—22no—
378C2×C3×D3—24no—
379C2×C3×D3—22no—
380C2×C3×D3—41no—
381C2×C3×D3—42no—
382C2×C3×D3—41no—
383C2×C3×D3—42no—
384C2×C3×D3—41no—
385C2×C3×D3—41no—
386C2×C3×D3—41no—
387C2×C3×D3—84no—
388D32—88no—
389C32×C4#12012yes—
390C32×C4C22×D411yescharacteristic
391C32×C4C22×D411yescharacteristic
392C3⋊Dic3—22no—
393C3×Dic3—22no—
394C3×Dic3—41no—
395C3×Dic3—42no—
396H(5,𝔽2)—184no—
397H(5,𝔽2)—184no—
398C2×#41—31no—
399C2×#41—31no—
400C2×#41—91no—
401C2×#41—92no—
402C2×#41—181no—
403C22×D4—31no—
404C22×D4—92no—
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—91no—
416C22×C8D3211yescharacteristic, complemented
417C22⋊Q8—92no—
418C22⋊Q8—181no—
419#121—92no—
420#121—181no—
421#121—182no—
422C2×C4⋊C4—31no—
423#103—92no—
424#102—32no—
425#102—32no—
426#102—92no—
427C22⋊C8—92no—
428C22⋊C8—92no—
429C23×C3—21no—
430C23×C3—62no—
431C23×C3—61no—
432C23×C3—64no—
433C23×C3—61no—
434C23×C3—241no—
435C23×C3—241no—
436C23×C3D3×D411yescharacteristic
437C23×C3D3×D411yescharacteristic
438C22×D3—21no—
439C22×D3—22no—
440C22×D3—24no—
441C22×D3—21no—
442C22×D3—32no—
443C22×D3—32no—
444C22×D3—62no—
445C22×D3—68no—
446C22×D3—68no—
447C22×D3—81no—
448C22×D3—81no—
449C22×D3—242no—
450C22×D3—242no—
451C22×D3—242no—
452C22×D3—242no—
453C3×Q8—32no—
454C3×Q8—61no—
455C3×Q8—61no—
456C3×Q8—61no—
457C3×D4—34no—
458C3×D4—32no—
459C3×D4—64no—
460C3×D4—64no—
461C3×D4—61no—
462C3×D4—61no—
463C3×D4—61no—
464C3×D4—62no—
465C3×D4—122no—
466C2×C3×C4—21no—
467C2×C3×C4—22no—
468C2×C3×C4—21no—
469C2×C3×C4—22no—
470C2×C3×C4—61no—
471C2×C3×C4—64no—
472C2×C3×C4—61no—
473C2×C3×C4—62no—
474C2×C3×C4—122no—
475C2×C3×C4—241no—
476C2×C3×C4C2×D1212yes—
477C2×C3×C4D3×D412yes—
478C2×C3×C4D3×D411yescharacteristic
479C2×C3×C4D3×D411yescharacteristic
480C2×C3×C4D3×D412yes—
481C2×C3×C4C2×#6712yes—
482C2×C3×C4C23×D311yescharacteristic
483C2×C3×C4C23×D311yescharacteristic
484#67—24no—
485#67—42no—
486#67—68no—
487#67—68no—
488#67—68no—
489#67—64no—
490#67—64no—
491#67—124no—
492#67—242no—
493C2×Dic3—21no—
494C2×Dic3—22no—
495C2×Dic3—21no—
496C2×Dic3—32no—
497C2×Dic3—32no—
498C2×Dic3—62no—
499C2×Dic3—68no—
500C2×Dic3—81no—
501D12—24no—
502D12—22no—
503D12—21no—
504D12—21no—
505D12—21no—
506D12—68no—
507D12—62no—
508D12—62no—
509D12—122no—
510D12—242no—
511D12C2×D1214yes—
512D12C2×#6712yes—
513C4×D3—24no—
514C4×D3—42no—
515C4×D3—68no—
516C4×D3—62no—
517C4×D3—62no—
518C4×D3—62no—
519C4×D3—62no—
520C4×D3—122no—
521C4×D3—122no—
522Dic6—21no—
523Dic6—21no—
524Dic6—21no—
525Dic6—62no—
526Dic6—62no—
527Dic6—122no—
528Dic6C2×#6712yes—
529C3×C8—21no—
530C3×C8—21no—
531C3×C8—21no—
532C3×C8—21no—
533C3×C8—41no—
534C3×C8—41no—
535C3⋊C8—62no—
536C3⋊C8—62no—
537C3⋊C8—122no—
538C2×C32—22no—
539C2×C32C2×#12011yescharacteristic
540C2×C32#57611yescharacteristic
541C2×C32#57711yescharacteristic
542C3⋊D3—42no—
543C3×D3—42no—
544C3×D3—44no—
545C3×D3—81no—
546C24—61no—
547C24—182no—
548#41—34no—
549#41—62no—
550#41—62no—
551#41—62no—
552#41—188no—
553#41—184no—
554#41—184no—
555#41—182no—
556#41—182no—
557C2×Q8—31no—
558C2×Q8—31no—
559C2×Q8—91no—
560C2×D4—32no—
561C2×D4—31no—
562C2×D4—31no—
563C2×D4—34no—
564C2×D4—61no—
565C2×D4—61no—
566C2×D4—61no—
567C2×D4—62no—
568C2×D4—92no—
569C2×D4—91no—
570C2×D4—188no—
571C2×D4—182no—
572C2×D4—182no—
573C2×D4—182no—
574C2×D4—184no—
575C2×D4—184no—
576C2×D4—1816no—
577C22×C4—61no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—92no—
581C22×C4—182no—
582C22×C4C2×D3211yescharacteristic
583Q16—62no—
584SD16—62no—
585SD16—62no—
586SD16—184no—
587D8—62no—
588D8—184no—
589M16—182no—
590C2×C8—22no—
591C2×C8—92no—
592C2×C8C2×D3211yescharacteristic
593C2×C8C2×D3211yescharacteristic
594C4⋊C4—32no—
595C4⋊C4—61no—
596C4⋊C4—182no—
597C22⋊C4—182no—
598C22⋊C4—182no—
599C22×C3—21no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—22no—
605C22×C3—41no—
606C22×C3—41no—
607C22×C3—62no—
608C22×C3—64no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—122no—
612C22×C3—122no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3—244no—
617C22×C3#88212yes—
618C22×C3#93712yes—
619C22×C3C2×D3×D411yescharacteristic
620C22×C3C2×D3×D411yescharacteristic
621C2×D3—24no—
622C2×D3—22no—
623C2×D3—42no—
624C2×D3—42no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—62no—
631C2×D3—62no—
632C2×D3—62no—
633C2×D3—62no—
634C2×D3—62no—
635C2×D3—62no—
636C2×D3—84no—
637C2×D3—122no—
638C2×D3—122no—
639C2×D3—122no—
640C2×D3—248no—
641C2×D3—248no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—22no—
645C3×C4—62no—
646C3×C4—121no—
647C3×C4—122no—
648C3×C4#88212yes—
649C3×C4#93712yes—
650C3×C4C22×D1211yescharacteristic
651C3×C4C2×D3×D411yescharacteristic
652C3×C4C2×D3×D411yescharacteristic
653C3×C4C22×#6711yescharacteristic
654Dic3—22no—
655Dic3—42no—
656Dic3—41no—
657Dic3—62no—
658Dic3—62no—
659Dic3—122no—
660C32#301211yescharacteristic, complemented, Sylow
661C23—61no—
662C23—62no—
663C23—64no—
664C23—61no—
665C23—92no—
666C23—188no—
667C23—241no—
668C23—241no—
669C23—722no—
670C23—722no—
671C23#380211yescharacteristic
672Q8—32no—
673Q8—61no—
674Q8—61no—
675Q8—61no—
676Q8—182no—
677D4—34no—
678D4—32no—
679D4—64no—
680D4—61no—
681D4—61no—
682D4—62no—
683D4—61no—
684D4—64no—
685D4—122no—
686D4—188no—
687D4—188no—
688D4—184no—
689D4—182no—
690D4—722no—
691C2×C4—61no—
692C2×C4—64no—
693C2×C4—62no—
694C2×C4—61no—
695C2×C4—92no—
696C2×C4—122no—
697C2×C4—188no—
698C2×C4—182no—
699C2×C4—182no—
700C2×C4—241no—
701C2×C4D3×D1212yes—
702C2×C4#380211yescharacteristic
703C2×C4D3×#6712yes—
704C2×C4C22×D3211yescharacteristic
705C8—21no—
706C8—21no—
707C8—182no—
708C2×C3—22no—
709C2×C3—22no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—42no—
714C2×C3—122no—
715C2×C3—124no—
716C2×C3—241no—
717C2×C3C2×#88211yescharacteristic
718C2×C3#575711yescharacteristic
719C2×C3#576211yescharacteristic
720C2×C3#576911yescharacteristic
721C2×C3#577011yescharacteristic
722C2×C3C2×#93711yescharacteristic
723D3—44no—
724D3—42no—
725D3—81no—
726D3—122no—
727D3—122no—
728D3—242no—
729C22—21no—
730C22—21no—
731C22—62no—
732C22—64no—
733C22—122no—
734C22—121no—
735C22—122no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—182no—
741C22—182no—
742C22—182no—
743C22—244no—
744C22—728no—
745C22#6392212yes—
746C22C2×#380211yescharacteristic
747C4—62no—
748C4—122no—
749C4—121no—
750C4—182no—
751C4#6392212yes—
752C4C2×D3×D1211yescharacteristic
753C4C2×D3×#6711yescharacteristic
754C3—21no—
755C3#7874711yescharacteristic, complemented
756C3#8391211yescharacteristic, complemented
757C2—22no—
758C2—124no—
759C2—122no—
760C2—241no—
761C2—362no—
762C2#1059468611yescharacteristic
763C2#1059468711yescharacteristic
764C2C2×#6392211yescharacteristic
subgroupG/H
centerC22C2×#3802
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×#64307C2semidirect
2. C2×C3×#904C2semidirect
3. #10595043C2semidirect
4. C2×#63823C2semidirect
5. #10592809C2semidirect
6. C2×C3×#821C2semidirect
7. #10591087C2semidirect
8. #10590965C2semidirect
9. #10590964C2semidirect
10. #10590945C2semidirect
11. #10590943C2semidirect
16. C2×C3×#235C22semidirect
25. C22×C32×C8C22semidirect
26. C2×#3748C22semidirect
27. C2×C3×C4⋊Dic3C22semidirect
28. C2×C3×Dic12C22semidirect
30. C2×C3×D24C22semidirect
31. C2×C3×#204C22semidirect
32. C2×C3×#204C22semidirect
34. #63916C22semidirect
36. #63871C22semidirect
38. C2×#3715C22semidirect
40. C2×#3713C22semidirect
41. #63647C22semidirect
42. #63647C22semidirect
43. C3×#821C22semidirect
44. C3×#821C22semidirect
45. #63565C22semidirect
46. #63562C22semidirect
53. C2×#904D3semidirect
61. C2×#821D3semidirect
85. C3×#235D4semidirect
88. C2×C3×D12D4semidirect
144. C2×#235C2×D3semidirect
153. C22×C3×C8C2×D3semidirect
154. C22×C3×C8C2×D3semidirect
167. C2×C4⋊Dic3C2×D3semidirect
172. C2×Dic12C2×D3semidirect
174. C2×D24C2×D3semidirect
175. C2×#204C2×D3semidirect
176. C2×#204C2×D3semidirect
185. #821C2×D3semidirect
186. #821C2×D3semidirect
310. #235#67semidirect
319. C2×D12D12semidirect
416. C22×C8D32semidirect
660. C32#3012semidirect
755. C3#78747semidirect
756. C3#83912semidirect

Maximal subgroups

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

subgroupindex
C2×#643072
C2×C3×#9042
#105950432
C2×#638232
#105928092
C2×C3×#8212
#105910872
#105909652
#105909642
#105909452
#105909432
#839123
#787473