Finite Group Databasebeta

← #11867161

Subgroups — #11867161

Order 1152.

1245 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64117C211yesmaximal, characteristic, complemented
2C2×C3×D3×M16C211yesmaximal, characteristic, complemented
3#10595023C211yesmaximal, characteristic, complemented
4C2×#63909C211yesmaximal, characteristic, complemented
5C3×#5121C211yesmaximal, characteristic, complemented
6#10591106C211yesmaximal, characteristic, complemented
7#10591096C211yesmaximal, characteristic, complemented
8#10590838C212yesmaximal, complemented
9#10590835C212yesmaximal, complemented
10#10590832C212yesmaximal, complemented
11#10590830C212yesmaximal, complemented
12#83772—31nomaximal
13#79211—31nomaximal
14C2×#3828C2211yescharacteristic
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C3×C4×D3C2211yescharacteristic
17C22×#626—21no—
18C2×C32×M16C2211yescharacteristic
19#64117—24no—
20C2×#3745C2212yescomplemented
21C2×#3744C2212yescomplemented
22C3×#926C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C2×C3×#208C2211yescharacteristic
25C3×D3×M16—24no—
26C2×C3×ΓL(1,𝔽25)C2212yescomplemented
27C2×C3×D3×C8C2212yescomplemented
28#63977—21no—
29#63966—21no—
30C2×#3722—21no—
31#63909—21no—
32#63909—21no—
33#63909C2212yes—
34#63909C2212yes—
35#63909C2211yescharacteristic, complemented
36#63909C2211yescharacteristic, complemented
37C4×#626—21no—
38C4×#626—21no—
39#63857C2211yescharacteristic, complemented
40#63857C2211yescharacteristic, complemented
41C3×#818C2212yescomplemented
42C3×#817C2212yescomplemented
43#63567C2212yescomplemented
44#63564C2212yescomplemented
45#63564C2212yescomplemented
46#63564C2212yescomplemented
47C22×C3×M16—31no—
48#5791—31no—
49C2×#930—31no—
50C2×#908—31no—
51C2×#908—31no—
52C2×#908—61no—
53C2×D3×M16D311yescharacteristic, complemented
54#5524—31no—
55C2×#895—31no—
56C3×#428—31no—
57#5135—32no—
58#5134—32no—
59#5133—31no—
60#5131—31no—
61#5121D311yescharacteristic, complemented
62#5115—32no—
63#5114—32no—
64#5001—31no—
65#4966—31no—
66#4886—32no—
67#4883—32no—
68#4865—32no—
69#4864—32no—
70C23×C3⋊D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C2×#638—21no—
74#3828—22no—
75#3828—22no—
76C2×C4⋊(C3⋊D3)—22no—
77C2×C4⋊(C3⋊D3)—22no—
78C2×C4⋊(C3⋊D3)—21no—
79C2×C4⋊(C3⋊D3)C2312yes—
80C2×C4⋊(C3⋊D3)C2311yescharacteristic
81C2×C4×C3⋊D3—21no—
82C2×#634C2311yescharacteristic
83C22×C3×Dic3—21no—
84C22×C3×Dic3D411yescharacteristic
85C2×C3×C4×D3—22no—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3D411yescharacteristic
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3C2311yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91C2×#626—22no—
92C2×#626—22no—
93C2×#626—21no—
94C2×#626—21no—
95C2×#626—44no—
96C32×M16D414yescomplemented
97C2×C32×C8C2312yes—
98#3745—24no—
99#3744—24no—
100C3×#217—21no—
101C3×C4⋊Dic3—21no—
102C3×C4⋊Dic3C2312yes—
103C3×C4⋊Dic3C2311yescharacteristic
104C3×C4⋊Dic3C2311yescharacteristic
105C3×C4×Dic3—21no—
106C3×#208—22no—
107C2×C3×C3⋊C8C2312yes—
108C3×ΓL(1,𝔽25)—24no—
109C3×D3×C8—24no—
110Dic3⋊Dic3—21no—
111Dic3⋊Dic3—21no—
112#3722—21no—
113#3722—21no—
114#3722—22no—
115#3722—22no—
116(C2×D3)⋊Dic3—21no—
117(C2×D3)⋊Dic3—21no—
118#3055—91noSylow
119C23×C3×C4—31no—
120C22×#67—61no—
121C2×#235—31no—
122C2×#235—31no—
123C2×#235—61no—
124C22×D12—31no—
125C22×D12—31no—
126C22×D12—61no—
127C22×D12—61no—
128C22×C4×D3C2×D311yescharacteristic
129C2×C3×M16—21no—
130C2×C3×M16—31no—
131C2×C3×M16—32no—
132C2×C3×M16—64no—
133C2×C3×M16C2×D311yescharacteristic
134C2×C3×M16C2×D311yescharacteristic
135C22×C3×C8—32no—
136C3×#117—31no—
137C2×C3×C4⋊C4—31no—
138#953—61no—
139#930—32no—
140#930—31no—
141#930—32no—
142#930—31no—
143#930—61no—
144#930—61no—
145#929—61no—
146C4×#67—61no—
147C4×#67—61no—
148C2×(C2×D3)⋊C4—61no—
149C2×(C2×D3)⋊C4—61no—
150#926C2×D311yescharacteristic
151C2×C4⋊Dic3C2×D311yescharacteristic
152#924—31no—
153#924—31no—
154C2×#208C2×D311yescharacteristic
155#908—68no—
156#908—64no—
157#908—64no—
158D3×M16—24no—
159C2×D24—32no—
160C2×D24—32no—
161C2×D24—62no—
162C2×#204—32no—
163C2×#204—32no—
164C2×#204—62no—
165C2×ΓL(1,𝔽25)C2×D312yescomplemented
166C2×D3×C8C2×D312yescomplemented
167#897—31no—
168#897—31no—
169#895—32no—
170#895—31no—
171#895—32no—
172#895—31no—
173#895—61no—
174#895—61no—
175#886—61no—
176#882—61no—
177C4×D12—61no—
178C4×D12—61no—
179C3×#107—32no—
180C3×#106—32no—
181#821—32no—
182#821—32no—
183#821—32no—
184#818C2×D312yescomplemented
185#817C2×D312yescomplemented
186#816—32no—
187#810—32no—
188#809—32no—
189#809—32no—
190#809—32no—
191C23×C32C2×D411yescharacteristic
192C22×C3⋊D3—22no—
193C22×C3⋊D3—21no—
194C22×C3⋊D3—42no—
195C22×C3⋊D3—42no—
196C22×C3⋊D3—42no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—41no—
200C22×C3×D3C2×D411yescharacteristic
201C22×C3×D3C2×D411yescharacteristic
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4C2×D412yes—
204C2×C32×C4#4112yes—
205C2×C32×C4C2411yescharacteristic
206#638—42no—
207C2×C3⋊Dic3—21no—
208C4⋊(C3⋊D3)—22no—
209C4⋊(C3⋊D3)—21no—
210C4⋊(C3⋊D3)—22no—
211C4⋊(C3⋊D3)—21no—
212C4⋊(C3⋊D3)—42no—
213C4×C3⋊D3—42no—
214#634—21no—
215#634—21no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3—21no—
219C2×C3×Dic3—22no—
220C2×C3×Dic3—42no—
221C2×C3×Dic3C2×D411yescharacteristic
222C2×C3×Dic3C2×D411yescharacteristic
223C3×C4×D3—22no—
224C3×C4×D3—22no—
225C3×C4×D3—21no—
226C3×C4×D3—21no—
227C3×C4×D3—21no—
228C3×C4×D3—21no—
229#626—42no—
230#626—44no—
231#626—42no—
232#626—44no—
233C32×C8C2×D414yescomplemented
234C3×C3⋊C8—22no—
235C2×AGL(1,ℤ/8)—91no—
236C22×M16—31no—
237#525—91no—
238C2×#121—91no—
239#469—92no—
240#468—92no—
241#466—92no—
242#465—92no—
243#428—31no—
244#418—91no—
245#417—91no—
246C24×C3—31no—
247C23×D3—61no—
248C23×D3—61no—
249C23×D3—121no—
250C23×D3D1211yescharacteristic
251C22×C3×C4—21no—
252C22×C3×C4—31no—
253C22×C3×C4—31no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4—62no—
258C22×C3×C4—62no—
259C22×C3×C4—61no—
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C2×#67—61no—
263C2×#67—61no—
264C2×#67—62no—
265C2×#67—62no—
266C2×#67—61no—
267C2×#67—61no—
268C2×#67—121no—
269C2×#67—124no—
270C22×Dic3—21no—
271C22×Dic3D1211yescharacteristic
272#235—64no—
273#235—62no—
274#235—62no—
275#235—62no—
276#235—62no—
277#235—122no—
278C2×D12—32no—
279C2×D12—31no—
280C2×D12—32no—
281C2×D12—31no—
282C2×D12—62no—
283C2×D12—61no—
284C2×D12—64no—
285C2×D12—62no—
286C2×D12—62no—
287C2×D12—62no—
288C2×D12—62no—
289C2×D12—61no—
290C2×D12—61no—
291C2×D12—62no—
292C2×D12—62no—
293C2×D12—61no—
294C2×D12—61no—
295C2×D12—122no—
296C2×D12—121no—
297C2×D12—124no—
298C2×C4×D3—22no—
299C2×C4×D3—22no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3—121no—
303C2×C4×D3D1211yescharacteristic
304C2×C4×D3D1211yescharacteristic
305C2×C4×D3C22×D311yescharacteristic
306C2×C4×D3C22×D311yescharacteristic
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C3×M16—24no—
311C3×M16—62no—
312C3×M16—64no—
313C3×M16D1214yescomplemented
314C3×M16#6714yescomplemented
315C2×C3×C8—22no—
316C2×C3×C8—32no—
317C2×C3×C8—64no—
318C2×C3×C8C22×D312yes—
319C2×C3×C8C22×D312yes—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—32no—
323C3×C4⋊C4—61no—
324C3×C22⋊C4—61no—
325C3×C42—61no—
326#217—21no—
327#217—61no—
328#217—61no—
329(C2×D3)⋊C4—62no—
330(C2×D3)⋊C4—62no—
331(C2×D3)⋊C4—61no—
332(C2×D3)⋊C4—61no—
333(C2×D3)⋊C4—61no—
334(C2×D3)⋊C4—61no—
335(C2×D3)⋊C4—61no—
336(C2×D3)⋊C4—61no—
337(C2×D3)⋊C4—62no—
338(C2×D3)⋊C4—62no—
339C4⋊Dic3—21no—
340C4⋊Dic3—61no—
341C4⋊Dic3—61no—
342C4⋊Dic3C22×D312yes—
343C4⋊Dic3C22×D311yescharacteristic
344C4⋊Dic3C22×D311yescharacteristic
345Dic3⋊C4—61no—
346Dic3⋊C4—61no—
347C4×Dic3—21no—
348#208—22no—
349C2×C3⋊C8C22×D312yes—
350D24—68no—
351D24—64no—
352D24—64no—
353#204—68no—
354#204—64no—
355#204—64no—
356ΓL(1,𝔽25)—24no—
357D3×C8—24no—
358C22×C32—21no—
359C22×C32—21no—
360C22×C32#12112yes—
361C22×C32C22×D411yescharacteristic
362C2×C3⋊D3—41no—
363C2×C3⋊D3—42no—
364C2×C3⋊D3—42no—
365C2×C3⋊D3—41no—
366C2×C3⋊D3—41no—
367C2×C3⋊D3—42no—
368C2×C3⋊D3—84no—
369C2×C3×D3—21no—
370C2×C3×D3—21no—
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—21no—
374C2×C3×D3—44no—
375C2×C3×D3AGL(1,ℤ/8)12yescomplemented
376C32×C4#12112yes—
377C32×C4C22×D411yescharacteristic
378C32×C4C2×#4111yescharacteristic
379C3⋊Dic3—41no—
380C3×Dic3—21no—
381C3×Dic3—21no—
382C3×Dic3—42no—
383C3×Dic3—41no—
384C3×Dic3—41no—
385C2×#41—91no—
386C22×D4—91no—
387C22×D4—181no—
388C23×C4—31no—
389AGL(1,ℤ/8)—184no—
390C2×SD16—92no—
391C2×D8—92no—
392C2×M16—31no—
393C2×M16—32no—
394C2×M16—64no—
395C2×M16D3211yescharacteristic
396C22×C8—32no—
397#123—181no—
398C22⋊Q8—91no—
399C22⋊Q8—91no—
400#121—92no—
401#121—92no—
402#121—91no—
403#121—91no—
404#121—181no—
405#121—181no—
406#120—181no—
407C4×D4—181no—
408C4×D4—181no—
409#117—31no—
410C2×C4⋊C4—31no—
411C2×C22⋊C4—181no—
412#107—32no—
413#106—32no—
414#103—92no—
415#102—92no—
416#102—92no—
417#102—92no—
418C23×C3—21no—
419C23×C3—31no—
420C23×C3—31no—
421C23×C3—62no—
422C23×C3—62no—
423C23×C3—121no—
424C23×C3C2×D1211yescharacteristic
425C23×C3D3×D411yescharacteristic
426C22×D3—22no—
427C22×D3—22no—
428C22×D3—41no—
429C22×D3—61no—
430C22×D3—62no—
431C22×D3—61no—
432C22×D3—62no—
433C22×D3—121no—
434C22×D3—122no—
435C22×D3—124no—
436C22×D3—122no—
437C22×D3—122no—
438C22×D3—122no—
439C22×D3—122no—
440C22×D3—122no—
441C22×D3—122no—
442C22×D3—242no—
443C22×D3—242no—
444C22×D3C2×D1211yescharacteristic
445C22×D3C2×D1211yescharacteristic
446C2×C3×C4—21no—
447C2×C3×C4—22no—
448C2×C3×C4—21no—
449C2×C3×C4—22no—
450C2×C3×C4—31no—
451C2×C3×C4—31no—
452C2×C3×C4—62no—
453C2×C3×C4—62no—
454C2×C3×C4—62no—
455C2×C3×C4—61no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—61no—
460C2×C3×C4—61no—
461C2×C3×C4—62no—
462C2×C3×C4—122no—
463C2×C3×C4C2×D1211yescharacteristic
464C2×C3×C4C2×D1212yes—
465C2×C3×C4#23512yes—
466C2×C3×C4D3×D411yescharacteristic
467C2×C3×C4#23912yes—
468C2×C3×C4C2×#6712yes—
469C2×C3×C4C23×D311yescharacteristic
470C2×C3×C4C23×D311yescharacteristic
471#67—122no—
472#67—124no—
473#67—122no—
474#67—124no—
475#67—124no—
476#67—122no—
477#67—122no—
478C2×Dic3—22no—
479C2×Dic3—21no—
480C2×Dic3—21no—
481C2×Dic3—22no—
482C2×Dic3—42no—
483C2×Dic3—61no—
484C2×Dic3—61no—
485C2×Dic3—121no—
486C2×Dic3C2×D1211yescharacteristic
487C2×Dic3C2×D1211yescharacteristic
488D12—64no—
489D12—62no—
490D12—62no—
491D12—61no—
492D12—62no—
493D12—61no—
494D12—62no—
495D12—61no—
496D12—62no—
497D12—61no—
498D12—122no—
499D12—121no—
500D12—124no—
501D12—122no—
502D12—124no—
503D12—122no—
504D12—124no—
505D12—122no—
506D12—122no—
507C4×D3—22no—
508C4×D3—22no—
509C4×D3—21no—
510C4×D3—21no—
511C4×D3—21no—
512C4×D3—21no—
513C4×D3—124no—
514C4×D3—122no—
515C4×D3—122no—
516Dic6—62no—
517Dic6—61no—
518Dic6—61no—
519Dic6—61no—
520Dic6—61no—
521Dic6—121no—
522C3×C8—24no—
523C3×C8—62no—
524C3×C8C2×D1214yescomplemented
525C3×C8C2×#6714yescomplemented
526C3⋊C8—22no—
527C2×C32—22no—
528C2×C32C2×#12111yescharacteristic
529C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
530C2×C32#57511yescharacteristic
531C3⋊D3—81no—
532C3⋊D3—82no—
533C3×D3—22no—
534C3×D3—41no—
535C24—31no—
536C24—181no—
537#41—182no—
538#41—182no—
539C2×Q8—91no—
540C2×D4—91no—
541C2×D4—92no—
542C2×D4—181no—
543C2×D4—181no—
544C2×D4—182no—
545C2×D4—182no—
546C2×D4—181no—
547C2×D4—182no—
548C2×D4—181no—
549C2×D4—182no—
550C2×D4—364no—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—31no—
555C22×C4—31no—
556C22×C4—62no—
557C22×C4—62no—
558C22×C4—61no—
559C22×C4—181no—
560C22×C4C2×D3211yescharacteristic
561SD16—184no—
562D8—184no—
563M16—62no—
564M16—64no—
565M16#62614yescomplemented
566C2×C8—32no—
567C2×C8—64no—
568C2×C8C2×D3212yes—
569C4⋊C4—31no—
570C4⋊C4—31no—
571C4⋊C4—32no—
572C4⋊C4—61no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C22⋊C4—61no—
576C22⋊C4—182no—
577C22⋊C4—182no—
578C22⋊C4—181no—
579C22⋊C4—181no—
580C22⋊C4—181no—
581C22⋊C4—181no—
582C42—61no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—22no—
589C22×C3—32no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3—61no—
593C22×C3—61no—
594C22×C3—61no—
595C22×C3—61no—
596C22×C3—61no—
597C22×C3—124no—
598C22×C3#89512yes—
599C22×C3#93012yes—
600C22×C3C22×D1211yescharacteristic
601C22×C3C2×D3×D411yescharacteristic
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—21no—
605C2×D3—21no—
606C2×D3—21no—
607C2×D3—44no—
608C2×D3—122no—
609C2×D3—124no—
610C2×D3—122no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—122no—
614C2×D3—121no—
615C2×D3—122no—
616C2×D3—122no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—122no—
620C2×D3—121no—
621C2×D3—122no—
622C2×D3—242no—
623C2×D3—242no—
624C2×D3—241no—
625C2×D3—241no—
626C2×D3—244no—
627C2×D3—244no—
628C2×D3—248no—
629C2×D3#90812yescomplemented
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—22no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—122no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4#89512yes—
639C3×C4#93012yes—
640C3×C4C22×D1211yescharacteristic
641C3×C4C2×#23511yescharacteristic
642C3×C4C2×#23911yescharacteristic
643C3×C4C22×#6711yescharacteristic
644Dic3—21no—
645Dic3—21no—
646Dic3—42no—
647Dic3—41no—
648Dic3—41no—
649Dic3—122no—
650Dic3—121no—
651Dic3—121no—
652C32#305511yescharacteristic, complemented, Sylow
653C23—31no—
654C23—31no—
655C23—62no—
656C23—62no—
657C23—121no—
658C23—181no—
659C23—182no—
660C23—362no—
661C23—362no—
662C23—362no—
663C23D3×D1211yescharacteristic
664Q8—181no—
665Q8—181no—
666D4—182no—
667D4—181no—
668D4—181no—
669D4—182no—
670D4—364no—
671D4—362no—
672D4—364no—
673D4—362no—
674D4—362no—
675D4—362no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—62no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—62no—
688C2×C4—122no—
689C2×C4—181no—
690C2×C4—362no—
691C2×C4#379912yes—
692C2×C4D3×D1211yescharacteristic
693C2×C4C2×#62612yes—
694C2×C4C22×D3211yescharacteristic
695C8—62no—
696C8C2×#62614yescomplemented
697C2×C3—22no—
698C2×C3—22no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—42no—
703C2×C3—62no—
704C2×C3—121no—
705C2×C3C2×#89511yescharacteristic
706C2×C3C2×#90811yescharacteristic
707C2×C3#574811yescharacteristic
708C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
709C2×C3#577711yescharacteristic
710C2×C3C2×#93011yescharacteristic
711D3—22no—
712D3—41no—
713D3—244no—
714D3—242no—
715D3—242no—
716D3—241no—
717D3—242no—
718D3—241no—
719C22—21no—
720C22—21no—
721C22—32no—
722C22—61no—
723C22—61no—
724C22—61no—
725C22—61no—
726C22—61no—
727C22—124no—
728C22—362no—
729C22—361no—
730C22—361no—
731C22—362no—
732C22—361no—
733C22—362no—
734C22—724no—
735C22#6390912yes—
736C22C2×D3×D1211yescharacteristic
737C4—61no—
738C4—61no—
739C4—122no—
740C4—121no—
741C4—121no—
742C4—361no—
743C4#6390912yes—
744C4C2×#379911yescharacteristic
745C4C22×#62611yescharacteristic
746C3—21no—
747C3#7921111yescharacteristic, complemented
748C3#8377211yescharacteristic, complemented
749C2—22no—
750C2—62no—
751C2—121no—
752C2—722no—
753C2—721no—
754C2D3×#90811yescharacteristic
755C2#1059471111yescharacteristic
756C2C2×#6390911yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×M16C22
socleC22×C32C22×D4
hypercenterC2×M16D32
hypocenterC32#3055
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×M16

Complements

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

NH ≅ G/Ntype
1. C2×#64117C2semidirect
2. C2×C3×D3×M16C2semidirect
3. #10595023C2semidirect
4. C2×#63909C2semidirect
5. C3×#5121C2semidirect
6. #10591106C2semidirect
7. #10591096C2semidirect
8. #10590838C2semidirect
9. #10590835C2semidirect
10. #10590832C2semidirect
11. #10590830C2semidirect
20. C2×#3745C22semidirect
21. C2×#3744C22semidirect
26. C2×C3×ΓL(1,𝔽25)C22semidirect
27. C2×C3×D3×C8C22semidirect
35. #63909C22semidirect
36. #63909C22semidirect
39. #63857C22semidirect
40. #63857C22semidirect
41. C3×#818C22semidirect
42. C3×#817C22semidirect
43. #63567C22semidirect
44. #63564C22semidirect
45. #63564C22semidirect
46. #63564C22semidirect
53. C2×D3×M16D3semidirect
61. #5121D3semidirect
96. C32×M16D4semidirect
165. C2×ΓL(1,𝔽25)C2×D3semidirect
166. C2×D3×C8C2×D3semidirect
184. #818C2×D3semidirect
185. #817C2×D3semidirect
233. C32×C8C2×D4semidirect
313. C3×M16D12semidirect
314. C3×M16#67semidirect
375. C2×C3×D3AGL(1,ℤ/8)semidirect
524. C3×C8C2×D12semidirect
525. C3×C8C2×#67semidirect
565. M16#626semidirect
629. C2×D3#908semidirect
652. C32#3055semidirect
696. C8C2×#626semidirect
747. C3#79211semidirect
748. C3#83772semidirect

Maximal subgroups

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

subgroupindex
C2×#641172
C2×C3×D3×M162
#105950232
C2×#639092
C3×#51212
#105911062
#105910962
#105908382
#105908352
#105908322
#105908302
#837723
#792113