Finite Group Databasebeta

← #11858031

Subgroups — #11858031

Order 1152.

1637 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#1009C211yesmaximal, characteristic
2#10594992C211yesmaximal, characteristic, complemented
3C2×#63814C211yesmaximal, characteristic, complemented
4#10592931C211yesmaximal, characteristic, complemented
5C3×#5233C211yesmaximal, characteristic, complemented
6#10591556C212yesmaximal, complemented
7#10591550C212yesmaximal, complemented
8#10591421C212yesmaximal, complemented
9D3×#832C212yesmaximal, complemented
10#10591085C211yesmaximal, characteristic, complemented
11C2×#63563C211yesmaximal, characteristic, complemented
12#84099—31nomaximal
13#78831—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C3×#1009—24no—
16C3×#1009C418yescomplemented
17C2×C3×#239C2212yes—
18C2×C3×D3×D4—22no—
19C2×C3×D3×D4C2212yes—
20C2×C3×#235—21no—
21C2×C3×#235C2211yescharacteristic
22C22×C3×D12—21no—
23C22×C3×D12C2211yescharacteristic
24C2×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
25C2×#3748C2211yescharacteristic, complemented
26C3×#926C2211yescharacteristic, complemented
27C22×C3×C3⋊C8C2211yescharacteristic, complemented
28#67⋊Dic3—22no—
29Dic3×D12—21no—
30D3×C4⋊Dic3C2212yescomplemented
31Dic3×Dic6—21no—
32#63841C2212yescomplemented
33C2×#3711C2212yescomplemented
34#63814—24no—
35C2×D3×C3⋊C8C2212yescomplemented
36#63662C2212yescomplemented
37#63659C2212yescomplemented
38C3×#835C2211yescharacteristic, complemented
39C3×#835C2211yescharacteristic, complemented
40C3×#832C2211yescharacteristic, complemented
41C3×#832C2211yescharacteristic, complemented
42#63563C2212yescomplemented
43#63563C2212yescomplemented
44#63562C2212yescomplemented
45#63562C2212yescomplemented
46C2×C3×H(5,𝔽2)—31no—
47C2×#1009D311yescharacteristic
48#5827—31no—
49C2×#948—31no—
50C2×#901—31no—
51#5523—31no—
52C3×#416—31no—
53#5233—32no—
54#5233D311yescharacteristic, complemented
55#5232—31no—
56#5232—31no—
57#5232—32no—
58#5232—61no—
59#5215—31no—
60#5215—32no—
61C2×#832—31no—
62C2×#832—32no—
63C2×#821—31no—
64#5001—31no—
65#4804—32no—
66#4803—32no—
67#4770—32no—
68D3×#102—32no—
69C23×C3×D3—21no—
70C23×C3×D3—22no—
71C32×#41—22no—
72C32×#41C2×C414yescomplemented
73C2×C32×Q8C2311yescharacteristic
74C2×C32×D4—21no—
75C2×C32×D4C2311yescharacteristic
76C22×C32×C4—21no—
77C22×C32×C4C2311yescharacteristic
78C22×C3⋊Dic3—21no—
79C2×C3×#67—22no—
80C2×C3×#67D412yes—
81C3×#239—24no—
82C3×#239C2×C418yescomplemented
83C3×D3×D4—216no—
84C3×D3×D4—24no—
85C3×D3×D4C2×C418yescomplemented
86C3×#235—28no—
87C3×#235C2×C414yes—
88C3×#235D414yes—
89C2×C3×D12—22no—
90C2×C3×D12—21no—
91C2×C3×D12—22no—
92C2×C3×D12—28no—
93C2×C3×D12C2×C414yescomplemented
94C2×C3×D12D411yescharacteristic
95C2×C3×D12C2312yes—
96C2×C3×C4×D3—22no—
97C2×C3×C4×D3C2312yes—
98C2×C3×Dic6D411yescharacteristic
99C2×D3×Dic3—22no—
100C4⋊(C3⋊Dic3)—21no—
101C4⋊(C3⋊Dic3)C2312yes—
102#3748—22no—
103C2×C3⋊(C3⋊C8)C2312yes—
104C3×#217—21no—
105C3×C4⋊Dic3C2311yescharacteristic
106C3×C4⋊Dic3C2311yescharacteristic
107C3×C4×Dic3—21no—
108C2×C3×C3⋊C8—22no—
109C2×C3×C3⋊C8C2311yescharacteristic
110C2×C3×C3⋊C8C2311yescharacteristic
111Dic3⋊Dic3—22no—
112(C2×D3)⋊Dic3—22no—
113Dic32—22no—
114#3711—24no—
115D3×C3⋊C8—24no—
116#2897—91noSylow
117C3×H(5,𝔽2)—38no—
118C3×H(5,𝔽2)—64no—
119C2×C3×#41—21no—
120C2×C3×#41—31no—
121C2×C3×#41—32no—
122C2×C3×#41—61no—
123C2×C3×#41C2×D311yescharacteristic
124C2×C3×#41C2×D311yescharacteristic
125C22×C3×D4—32no—
126C22×C3×D4—31no—
127C22×C3×D4—61no—
128C22×C3×D4—62no—
129#1009—24no—
130#1009Dic318yescomplemented
131C2×#239C2×D312yes—
132C2×D3×D4—22no—
133C2×D3×D4C2×D312yes—
134C2×#235—21no—
135C2×#235C2×D311yescharacteristic
136C22×D12—21no—
137C22×D12C2×D311yescharacteristic
138C22×C3×C8—31no—
139C3×#117—31no—
140#948—64no—
141Q8×Dic3—61no—
142D4×Dic3—61no—
143D4×Dic3—62no—
144#926—32no—
145#926C2×D311yescharacteristic, complemented
146C2×C4⋊Dic3—31no—
147C2×C4⋊Dic3—31no—
148C2×C4⋊Dic3—32no—
149C2×C4⋊Dic3—61no—
150C2×#208—31no—
151C2×#208—31no—
152C2×#208—32no—
153C2×#208—61no—
154C22×C3⋊C8—32no—
155C22×C3⋊C8C2×D311yescharacteristic, complemented
156#901—64no—
157C2×ΓL(1,𝔽25)—32no—
158C2×D3×C8—32no—
159#892—32no—
160D3×C4⋊C4—32no—
161#67⋊C4—62no—
162C4×D12—61no—
163C4×Dic6—61no—
164C3×#103—31no—
165C3×#103—31no—
166C3×#102—31no—
167C3×#102—31no—
168#835—32no—
169#835—32no—
170#835—62no—
171#835C2×D311yescharacteristic, complemented
172#835C2×D311yescharacteristic, complemented
173#832—32no—
174#832—32no—
175#832—32no—
176#832—32no—
177#832—32no—
178#832—32no—
179#832—62no—
180#832C2×D311yescharacteristic, complemented
181#832C2×D311yescharacteristic, complemented
182#821—32no—
183#821—32no—
184#809—32no—
185#809—32no—
186C23×C32—21no—
187C23×C32C2×D411yescharacteristic
188C22×C3×D3—22no—
189C22×C3×D3—24no—
190C22×C3×D3—28no—
191C22×C3×D3—82no—
192C22×C3×D3—82no—
193C22×C3×D3—81no—
194C22×C3×D3—81no—
195C22×C3×D3C2×D412yes—
196C32×Q8—21no—
197C32×Q8C22×C412yes—
198C32×D4—24no—
199C32×D4—21no—
200C32×D4C22×C412yes—
201C2×C32×C4—21no—
202C2×C32×C4—24no—
203C2×C32×C4C22×C412yes—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4C2×D412yes—
206C2×C32×C4C2411yescharacteristic
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—81no—
209C3×#67—28no—
210C3×#67C22⋊C418yes—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3C2×D412yes—
214C3×D12—28no—
215C3×D12—24no—
216C3×D12—22no—
217C3×D12C22⋊C414yes—
218C3×D12C22×C414yes—
219C3×C4×D3—28no—
220C3×C4×D3C22×C414yes—
221C3×C4×D3C2×D414yes—
222C3×Dic6C22⋊C414yes—
223D3×Dic3—82no—
224C3⋊(C3⋊C8)—22no—
225C3×C3⋊C8—21no—
226C3×C3⋊C8—21no—
227C2×H(5,𝔽2)—31no—
228C2×#131—91no—
229#520—91no—
230#418—92no—
231#418—91no—
232#417—92no—
233#417—91no—
234#416—31no—
235#416—92no—
236C2×#102—92no—
237C2×#102—91no—
238C24×C3—62no—
239C24×C3—61no—
240C23×D3—21no—
241C23×D3—22no—
242C3×#41—22no—
243C3×#41—22no—
244C3×#41—24no—
245C3×#41—34no—
246C3×#41—34no—
247C3×#41—38no—
248C3×#41—42no—
249C3×#41—68no—
250C3×#41—64no—
251C3×#41C4×D314yescomplemented
252C3×#41C2×Dic314yescomplemented
253C2×C3×Q8—21no—
254C2×C3×Q8—31no—
255C2×C3×Q8C22×D311yescharacteristic
256C2×C3×Q8C22×D311yescharacteristic
257C2×C3×D4—21no—
258C2×C3×D4—21no—
259C2×C3×D4—21no—
260C2×C3×D4—32no—
261C2×C3×D4—38no—
262C2×C3×D4—34no—
263C2×C3×D4—31no—
264C2×C3×D4—32no—
265C2×C3×D4—41no—
266C2×C3×D4—68no—
267C2×C3×D4—62no—
268C2×C3×D4—64no—
269C2×C3×D4—62no—
270C2×C3×D4—616no—
271C2×C3×D4—61no—
272C2×C3×D4—62no—
273C2×C3×D4C22×D311yescharacteristic
274C2×C3×D4C22×D311yescharacteristic
275C22×C3×C4—21no—
276C22×C3×C4—21no—
277C22×C3×C4—21no—
278C22×C3×C4—32no—
279C22×C3×C4—41no—
280C22×C3×C4—62no—
281C22×C3×C4C22×D311yescharacteristic
282C22×C3×C4C22×D311yescharacteristic
283C2×#67—22no—
284C2×#67#6712yes—
285C22×Dic3—62no—
286C22×Dic3—61no—
287C22×Dic3—61no—
288C22×Dic3—121no—
289#239—24no—
290#239C2×Dic318yescomplemented
291D3×D4—216no—
292D3×D4—24no—
293D3×D4C2×Dic318yescomplemented
294#235—28no—
295#235C2×Dic314yes—
296#235#6714yes—
297C2×D12—22no—
298C2×D12—21no—
299C2×D12—22no—
300C2×D12—28no—
301C2×D12C2×Dic314yescomplemented
302C2×D12#6711yescharacteristic
303C2×D12C22×D312yes—
304C2×C4×D3—22no—
305C2×C4×D3—62no—
306C2×C4×D3C22×D312yes—
307C2×Dic6#6711yescharacteristic
308C2×C3×C8—31no—
309C2×C3×C8—31no—
310C2×C3×C8—62no—
311C3×C4⋊C4—31no—
312C3×C4⋊C4—31no—
313C3×C22⋊C4—61no—
314C3×C42—61no—
315#217—21no—
316#217—62no—
317(C2×D3)⋊C4—62no—
318C4⋊Dic3—32no—
319C4⋊Dic3—32no—
320C4⋊Dic3—62no—
321C4⋊Dic3—62no—
322C4⋊Dic3—61no—
323C4⋊Dic3—61no—
324C4⋊Dic3—121no—
325C4⋊Dic3C22×D311yescharacteristic
326C4⋊Dic3C22×D311yescharacteristic
327Dic3⋊C4—62no—
328C4×Dic3—21no—
329C4×Dic3—62no—
330C4×Dic3—62no—
331#208—64no—
332#208—62no—
333#208—62no—
334#208—122no—
335C2×C3⋊C8—22no—
336C2×C3⋊C8—32no—
337C2×C3⋊C8—32no—
338C2×C3⋊C8—62no—
339C2×C3⋊C8—64no—
340C2×C3⋊C8C22×D311yescharacteristic
341C2×C3⋊C8C22×D311yescharacteristic
342ΓL(1,𝔽25)—64no—
343D3×C8—64no—
344C22×C32—21no—
345C22×C32—21no—
346C22×C32—22no—
347C22×C32—41no—
348C22×C32—41no—
349C22×C32C2×C22⋊C412yes—
350C22×C32C22×D411yescharacteristic
351C2×C3×D3—22no—
352C2×C3×D3—22no—
353C2×C3×D3—24no—
354C2×C3×D3—42no—
355C2×C3×D3—42no—
356C2×C3×D3—88no—
357C2×C3×D3—84no—
358C2×C3×D3C2×C22⋊C414yes—
359C32×C4—22no—
360C32×C4C2×C22⋊C412yes—
361C32×C4C23×C411yescharacteristic
362C32×C4C22×D411yescharacteristic
363C3⋊Dic3—42no—
364C3×Dic3—41no—
365C3×Dic3—41no—
366C3×Dic3C2×C22⋊C414yes—
367H(5,𝔽2)—38no—
368H(5,𝔽2)—64no—
369C2×#41—31no—
370C2×#41—32no—
371C2×#41—61no—
372C2×#41D3211yescharacteristic
373C22×D4—32no—
374C22×D4—31no—
375C22×D4—61no—
376C22×D4—62no—
377#131—184no—
378C2×M16—92no—
379C2×M16—91no—
380C22×C8—31no—
381C22×C8—92no—
382C4×Q8—181no—
383C4×D4—181no—
384C4×D4—182no—
385#117—31no—
386#117—92no—
387C2×C4⋊C4—92no—
388C2×C4⋊C4—91no—
389#103—31no—
390#103—31no—
391#103—92no—
392#102—31no—
393#102—31no—
394#102—92no—
395#102—92no—
396#102—92no—
397#102—92no—
398#102—92no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—21no—
402C23×C3—32no—
403C23×C3—41no—
404C23×C3—68no—
405C23×C3—62no—
406C23×C3—64no—
407C23×C3—241no—
408C23×C3—241no—
409C23×C3—242no—
410C23×C3—242no—
411C23×C3D3×D411yescharacteristic
412C23×C3C2×#6711yescharacteristic
413C22×D3—22no—
414C22×D3—24no—
415C22×D3—28no—
416C22×D3—82no—
417C22×D3—82no—
418C22×D3—81no—
419C22×D3—81no—
420C22×D3C2×#6712yes—
421C3×Q8—21no—
422C3×Q8—21no—
423C3×Q8—22no—
424C3×Q8—34no—
425C3×Q8—41no—
426C3×Q8C2×C4×D312yes—
427C3×Q8C22×Dic312yes—
428C3×D4—24no—
429C3×D4—24no—
430C3×D4—21no—
431C3×D4—21no—
432C3×D4—22no—
433C3×D4—38no—
434C3×D4—34no—
435C3×D4—34no—
436C3×D4—41no—
437C3×D4—44no—
438C3×D4—68no—
439C3×D4—68no—
440C3×D4—64no—
441C3×D4—62no—
442C3×D4C2×C4×D312yes—
443C3×D4C22×Dic312yes—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—24no—
447C2×C3×C4—24no—
448C2×C3×C4—21no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—21no—
452C2×C3×C4—32no—
453C2×C3×C4—34no—
454C2×C3×C4—34no—
455C2×C3×C4—44no—
456C2×C3×C4—41no—
457C2×C3×C4—68no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4C2×C4×D312yes—
461C2×C3×C4D3×D411yescharacteristic
462C2×C3×C4D3×D412yes—
463C2×C3×C4C22×Dic312yes—
464C2×C3×C4C2×#6711yescharacteristic
465C2×C3×C4C2×#6712yes—
466C2×C3×C4C23×D311yescharacteristic
467C2×C3×C4C23×D311yescharacteristic
468#67—28no—
469#67#21718yes—
470C2×Dic3—21no—
471C2×Dic3—21no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3—122no—
475C2×Dic3—242no—
476C2×Dic3—241no—
477C2×Dic3—241no—
478C2×Dic3—242no—
479C2×Dic3C2×#6712yes—
480D12—28no—
481D12—24no—
482D12—22no—
483D12#21714yes—
484D12C22×Dic314yes—
485C4×D3—28no—
486C4×D3—242no—
487C4×D3C22×Dic314yes—
488C4×D3C2×#6714yes—
489Dic6#21714yes—
490C3×C8—61no—
491C3×C8—61no—
492C3⋊C8—21no—
493C3⋊C8—21no—
494C3⋊C8—62no—
495C3⋊C8—62no—
496C3⋊C8—122no—
497C2×C32—22no—
498C2×C32—42no—
499C2×C32C22×C22⋊C411yescharacteristic
500C2×C32#57611yescharacteristic
501C2×C32#57711yescharacteristic
502C3×D3—24no—
503C3×D3—44no—
504C24—62no—
505C24—61no—
506#41—22no—
507#41—34no—
508#41—34no—
509#41—38no—
510#41—68no—
511#41—64no—
512#41D3×Dic314yescomplemented
513C2×Q8—31no—
514C2×Q8C2×D3211yescharacteristic
515C2×D4—21no—
516C2×D4—32no—
517C2×D4—38no—
518C2×D4—32no—
519C2×D4—34no—
520C2×D4—31no—
521C2×D4—68no—
522C2×D4—62no—
523C2×D4—64no—
524C2×D4—62no—
525C2×D4—616no—
526C2×D4—61no—
527C2×D4—62no—
528C2×D4C2×D3211yescharacteristic
529C22×C4—21no—
530C22×C4—32no—
531C22×C4—62no—
532C22×C4—182no—
533C22×C4—181no—
534C22×C4C2×D3211yescharacteristic
535M16—184no—
536M16—182no—
537C2×C8—31no—
538C2×C8—31no—
539C2×C8—62no—
540C2×C8—92no—
541C2×C8—184no—
542C4⋊C4—31no—
543C4⋊C4—31no—
544C4⋊C4—92no—
545C4⋊C4—182no—
546C4⋊C4—181no—
547C22⋊C4—61no—
548C22⋊C4—182no—
549C42—61no—
550C42—182no—
551C22×C3—21no—
552C22×C3—21no—
553C22×C3—21no—
554C22×C3—21no—
555C22×C3—22no—
556C22×C3—22no—
557C22×C3—21no—
558C22×C3—22no—
559C22×C3—34no—
560C22×C3—41no—
561C22×C3—41no—
562C22×C3—42no—
563C22×C3—41no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—62no—
568C22×C3—62no—
569C22×C3—64no—
570C22×C3—81no—
571C22×C3—81no—
572C22×C3—122no—
573C22×C3—122no—
574C22×C3—244no—
575C22×C3—248no—
576C22×C3D3×C22⋊C412yes—
577C22×C3C2×#21712yes—
578C22×C3C2×D3×D411yescharacteristic
579C22×C3C22×#6711yescharacteristic
580C2×D3—22no—
581C2×D3—22no—
582C2×D3—24no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—88no—
586C2×D3—84no—
587C2×D3C2×#21714yes—
588C3×C4—22no—
589C3×C4—22no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—22no—
593C3×C4—34no—
594C3×C4—42no—
595C3×C4—121no—
596C3×C4—121no—
597C3×C4D3×C22⋊C412yes—
598C3×C4C2×#21712yes—
599C3×C4C22×C4×D311yescharacteristic
600C3×C4C2×D3×D411yescharacteristic
601C3×C4C23×Dic311yescharacteristic
602C3×C4C22×#6711yescharacteristic
603Dic3—41no—
604Dic3—41no—
605Dic3—122no—
606Dic3—122no—
607Dic3—242no—
608Dic3C2×#21714yes—
609C32#289711yescharacteristic, complemented, Sylow
610C23—21no—
611C23—32no—
612C23—68no—
613C23—62no—
614C23—64no—
615C23—241no—
616C23—241no—
617C23—242no—
618C23—242no—
619C23D3×#6711yescharacteristic
620Q8—21no—
621Q8—34no—
622Q8C2×D3×Dic312yes—
623D4—24no—
624D4—21no—
625D4—38no—
626D4—34no—
627D4—34no—
628D4—68no—
629D4—68no—
630D4—62no—
631D4—64no—
632D4C2×D3×Dic312yes—
633C2×C4—21no—
634C2×C4—24no—
635C2×C4—32no—
636C2×C4—34no—
637C2×C4—34no—
638C2×C4—68no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—182no—
642C2×C4—722no—
643C2×C4—721no—
644C2×C4C2×D3×Dic312yes—
645C2×C4D3×#6712yes—
646C2×C4D3×#6711yescharacteristic
647C2×C4C22×D3211yescharacteristic
648C8—61no—
649C8—61no—
650C8—182no—
651C2×C3—22no—
652C2×C3—22no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—42no—
657C2×C3—42no—
658C2×C3—42no—
659C2×C3—64no—
660C2×C3—82no—
661C2×C3—124no—
662C2×C3C2×D3×C22⋊C411yescharacteristic
663C2×C3#576911yescharacteristic
664C2×C3#577011yescharacteristic
665C2×C3#583511yescharacteristic
666C2×C3#583611yescharacteristic
667C2×C3C22×#21711yescharacteristic
668D3—24no—
669D3—44no—
670C22—21no—
671C22—21no—
672C22—22no—
673C22—34no—
674C22—41no—
675C22—41no—
676C22—62no—
677C22—62no—
678C22—64no—
679C22—122no—
680C22—122no—
681C22—244no—
682C22—248no—
683C22D3×#21712yes—
684C22C2×D3×#6711yescharacteristic
685C4—22no—
686C4—34no—
687C4—121no—
688C4—121no—
689C4—362no—
690C4D3×#21712yes—
691C4C22×D3×Dic311yescharacteristic
692C4C2×D3×#6711yescharacteristic
693C3—21no—
694C3#7883111yescharacteristic, complemented
695C3#8409911yescharacteristic, complemented
696C2—22no—
697C2—42no—
698C2—64no—
699C2—124no—
700C2#1059545611yescharacteristic
701C2#1059546611yescharacteristic
702C2C2×D3×#21711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
prime radicalC2×C3×#1009C2
cosocleC2×C32×C4C24
hypercenterC2×#41D32
hypocenterC32#2897
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. #10594992C2semidirect
3. C2×#63814C2semidirect
4. #10592931C2semidirect
5. C3×#5233C2semidirect
6. #10591556C2semidirect
7. #10591550C2semidirect
8. #10591421C2semidirect
9. D3×#832C2semidirect
10. #10591085C2semidirect
11. C2×#63563C2semidirect
16. C3×#1009C4semidirect
24. C2×C4⋊(C3⋊Dic3)C22semidirect
25. C2×#3748C22semidirect
26. C3×#926C22semidirect
27. C22×C3×C3⋊C8C22semidirect
30. D3×C4⋊Dic3C22semidirect
32. #63841C22semidirect
33. C2×#3711C22semidirect
35. C2×D3×C3⋊C8C22semidirect
36. #63662C22semidirect
37. #63659C22semidirect
38. C3×#835C22semidirect
39. C3×#835C22semidirect
40. C3×#832C22semidirect
41. C3×#832C22semidirect
42. #63563C22semidirect
43. #63563C22semidirect
44. #63562C22semidirect
45. #63562C22semidirect
54. #5233D3semidirect
72. C32×#41C2×C4semidirect
82. C3×#239C2×C4semidirect
85. C3×D3×D4C2×C4semidirect
93. C2×C3×D12C2×C4semidirect
130. #1009Dic3semidirect
145. #926C2×D3semidirect
155. C22×C3⋊C8C2×D3semidirect
171. #835C2×D3semidirect
172. #835C2×D3semidirect
180. #832C2×D3semidirect
181. #832C2×D3semidirect
251. C3×#41C4×D3semidirect
252. C3×#41C2×Dic3semidirect
290. #239C2×Dic3semidirect
293. D3×D4C2×Dic3semidirect
301. C2×D12C2×Dic3semidirect
512. #41D3×Dic3semidirect
609. C32#2897semidirect
694. C3#78831semidirect
695. C3#84099semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#10092
#105949922
C2×#638142
#105929312
C3×#52332
#105915562
#105915502
#105914212
D3×#8322
#105910852
C2×#635632
#840993
#788313