Finite Group Databasebeta

← #11864205

Subgroups — #11864205

Order 1152.

1602 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3799C211yesmaximal, characteristic
2D3×#924C211yesmaximal, characteristic, complemented
3C2×#63801C212yesmaximal, complemented
4#10592430C211yesmaximal, characteristic, complemented
5C3×#4739C211yesmaximal, characteristic, complemented
6C3×#4726C211yesmaximal, characteristic, complemented
7#10591186C211yesmaximal, characteristic, complemented
8#10591183C211yesmaximal, characteristic, complemented
9#10590970C212yesmaximal, complemented
10#10590966C212yesmaximal, complemented
11#10590671C212yesmaximal, complemented
12#80184—31nomaximal
13#78640—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C3×C4×D3C2211yescharacteristic
16C22×C3×Dic6C2211yescharacteristic
17C22×#626—21no—
18C22×#624—21no—
19C2×#3799—21no—
20C2×#3799—21no—
21C2×#3799—28no—
22C2×#3799C2212yes—
23C2×#3799C2212yes—
24C2×D3×Dic6C2211yescharacteristic, complemented
25#64133C2211yescharacteristic
26C2×#3744C2212yescomplemented
27C3×#924C2211yescharacteristic
28C2×C3×Dic12C2212yescomplemented
29C2×C3×ΓL(1,𝔽25)C2212yescomplemented
30D3×#217—21no—
31#63964—21no—
32D3×C4⋊Dic3C2211yescharacteristic, complemented
33D3×Dic3⋊C4—21no—
34#63857C2211yescharacteristic, complemented
35#63856C2211yescharacteristic, complemented
36#63851—21no—
37C2×#3719C2212yescomplemented
38C2×#3717C2212yescomplemented
39#63801—28no—
40C32×C22⋊C8C2211yescharacteristic
41#63648C2212yescomplemented
42C3×#830C2211yescharacteristic
43C3×(C2×D3)⋊C8C2212yescomplemented
44C3×#816C2212yescomplemented
45#63566C2212yescomplemented
46#63564C2212yescomplemented
47C22×#239—31no—
48C22×#235—31no—
49C2×#924—31no—
50C2×#918—32no—
51C2×#909—32no—
52D3×C22⋊Q8—31no—
53C3×#451—31no—
54C3×#407—31no—
55#5228—31no—
56#5187—32no—
57#5133—32no—
58#5046—31no—
59#4808—32no—
60#4803—32no—
61#4739—31no—
62#4739D311yescharacteristic, complemented
63#4733—32no—
64#4733—32no—
65#4731—31no—
66#4731—31no—
67#4731—31no—
68#4731—61no—
69#4726D311yescharacteristic, complemented
70C23×C3⋊D3—21no—
71C23×C3×D3D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C2×C4⋊(C3⋊D3)—21no—
74C2×C4⋊(C3⋊D3)—24no—
75C2×C4⋊(C3⋊D3)C2312yes—
76C2×#634C2311yescharacteristic
77C22×C3×Dic3—21no—
78C22×C3×Dic3D411yescharacteristic
79C2×C3×C4×D3—24no—
80C2×C3×C4×D3D411yescharacteristic
81C2×C3×C4×D3D411yescharacteristic
82C2×C3×C4×D3C2311yescharacteristic
83C2×C3×C4×D3C2311yescharacteristic
84C2×C3×Dic6—21no—
85C2×C3×Dic6—24no—
86C2×C3×Dic6C2311yescharacteristic
87C2×C3×Dic6C2312yes—
88C2×#627—21no—
89C2×#626—28no—
90C2×#626—22no—
91C2×#626—22no—
92C2×#624—28no—
93C2×#624—22no—
94C2×#624—22no—
95C2×D3×Dic3—21no—
96C2×D3×Dic3—21no—
97#3799—28no—
98#3799—28no—
99#3799—24no—
100#3799—24no—
101#3799—24no—
102#3799D418yes—
103D3×Dic6—24no—
104C2×C32×C8C2312yes—
105#3757—21no—
106C4⋊(C3⋊Dic3)C2311yescharacteristic
107#3750—21no—
108#3744—24no—
109C3×#217—21no—
110C3×C4⋊Dic3C2311yescharacteristic
111C3×Dic3⋊C4—21no—
112C2×C3×C3⋊C8C2312yes—
113C3×Dic12—24no—
114C3×ΓL(1,𝔽25)—24no—
115#3724—21no—
116Dic3⋊Dic3—21no—
117Dic3⋊Dic3—21no—
118(C2×D3)⋊Dic3—21no—
119(C2×D3)⋊Dic3—21no—
120#3719—24no—
121#3717—24no—
122#3007—91noSylow
123C22×C3×Q8—31no—
124C23×C3×C4—31no—
125C22×#67—61no—
126C2×#239—32no—
127C2×#239—32no—
128C2×#239—68no—
129C2×#239—61no—
130C2×#239—61no—
131C2×D3×Q8—31no—
132C2×#235—32no—
133C2×#235—32no—
134C2×#235—68no—
135C2×#235—61no—
136C2×#235—61no—
137C22×D12—31no—
138C22×D12—31no—
139C22×D12—61no—
140C22×D12—61no—
141C22×C4×D3—61no—
142C22×C4×D3—61no—
143C22×C4×D3C2×D311yescharacteristic
144C22×Dic6—31no—
145C22×Dic6C2×D311yescharacteristic
146C2×C3×Q16—32no—
147C2×C3×M16—32no—
148C3×C22⋊Q8—31no—
149C2×#217—61no—
150#946—31no—
151C2×#216—32no—
152C2×#215—32no—
153C2×C4⋊Dic3—31no—
154#924—31no—
155#924—31no—
156#924—31no—
157#924—31no—
158#924—61no—
159#924—61no—
160#924—61no—
161#924C2×D311yescharacteristic
162C2×Dic3⋊C4—61no—
163#918—68no—
164#909—68no—
165C2×Dic12—32no—
166C2×Dic12C2×D312yescomplemented
167C2×#204—32no—
168C2×#204—32no—
169C2×#204—32no—
170C2×#204—62no—
171C2×ΓL(1,𝔽25)C2×D312yescomplemented
172#897—31no—
173#896—61no—
174D3×C4⋊C4—31no—
175D3×C4⋊C4—61no—
176D3×C22⋊C4—61no—
177#878—61no—
178C3×#103—32no—
179C3×C22⋊C8—21no—
180C3×C22⋊C8—31no—
181C3×C22⋊C8—32no—
182C3×C22⋊C8C2×D311yescharacteristic
183C3×C22⋊C8C2×D311yescharacteristic
184#835—32no—
185#830C2×D311yescharacteristic
186#821—32no—
187#821—32no—
188#821—32no—
189#821—62no—
190(C2×D3)⋊C8C2×D312yescomplemented
191#816—32no—
192#816C2×D312yescomplemented
193#809—32no—
194C23×C32C2×D411yescharacteristic
195C22×C3⋊D3—24no—
196C22×C3⋊D3—22no—
197C22×C3⋊D3—42no—
198C22×C3⋊D3—42no—
199C22×C3×D3—22no—
200C22×C3×D3—22no—
201C22×C3×D3—41no—
202C22×C3×D3C2×D411yescharacteristic
203C22×C3×D3C2×D411yescharacteristic
204C2×C32×C4—22no—
205C2×C32×C4C2×D411yescharacteristic
206C2×C32×C4C2411yescharacteristic
207C2×C3⋊Dic3—21no—
208C2×C3⋊Dic3—21no—
209C4⋊(C3⋊D3)—24no—
210C4⋊(C3⋊D3)—22no—
211C4⋊(C3⋊D3)C2×D414yes—
212#634—22no—
213C2×C3×Dic3—24no—
214C2×C3×Dic3—22no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3C2×D411yescharacteristic
219C2×C3×Dic3C2×D411yescharacteristic
220C3×C4×D3—22no—
221C3×C4×D3—22no—
222C3×C4×D3—22no—
223C3×C4×D3C2×D414yes—
224C3×Dic6—24no—
225C3×Dic6—22no—
226C3×Dic6—22no—
227C3×Dic6C2×D414yes—
228#627—42no—
229#626—28no—
230#626—28no—
231#624—28no—
232#624—28no—
233D3×Dic3—42no—
234D3×Dic3—42no—
235C32×C8—22no—
236C3×C3⋊C8—22no—
237C22×#41—91no—
238C2×#137—92no—
239C2×C22⋊Q8—91no—
240#452—92no—
241#452—92no—
242#451—31no—
243#451—91no—
244#450—91no—
245#450—91no—
246#417—92no—
247#407—31no—
248C24×C3—31no—
249C23×D3—61no—
250C23×D3—61no—
251C23×D3—121no—
252C23×D3D1211yescharacteristic
253C2×C3×Q8—32no—
254C2×C3×Q8—31no—
255C2×C3×Q8—64no—
256C2×C3×Q8—61no—
257C22×C3×C4—21no—
258C22×C3×C4—31no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—31no—
263C22×C3×C4—64no—
264C22×C3×C4—61no—
265C22×C3×C4C22×D311yescharacteristic
266C22×C3×C4C22×D311yescharacteristic
267C2×#67—62no—
268C2×#67—62no—
269C2×#67—68no—
270C22×Dic3—21no—
271C22×Dic3—61no—
272C22×Dic3—61no—
273C22×Dic3D1211yescharacteristic
274#239—38no—
275#239—64no—
276#239—64no—
277#239—68no—
278#239—68no—
279#239—64no—
280D3×Q8—64no—
281#235—38no—
282#235—64no—
283#235—64no—
284#235—68no—
285#235—68no—
286#235—64no—
287C2×D12—32no—
288C2×D12—32no—
289C2×D12—62no—
290C2×D12—64no—
291C2×D12—64no—
292C2×D12—68no—
293C2×D12—62no—
294C2×D12—62no—
295C2×D12—61no—
296C2×D12—61no—
297C2×D12—124no—
298C2×D12—121no—
299C2×C4×D3—24no—
300C2×C4×D3—62no—
301C2×C4×D3—62no—
302C2×C4×D3—68no—
303C2×C4×D3—68no—
304C2×C4×D3—62no—
305C2×C4×D3—62no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3D1211yescharacteristic
309C2×C4×D3D1211yescharacteristic
310C2×C4×D3C22×D311yescharacteristic
311C2×C4×D3C22×D311yescharacteristic
312C2×Dic6—21no—
313C2×Dic6—24no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
317C2×Dic6—64no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6C22×D311yescharacteristic
321C2×Dic6C22×D312yes—
322C3×Q16—64no—
323C3×M16—64no—
324C2×C3×C8—22no—
325C2×C3×C8—32no—
326C2×C3×C8C22×D312yes—
327C2×C3×C8C22×D312yes—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—61no—
330C3×C22⋊C4—61no—
331#217—21no—
332#217—61no—
333#217—61no—
334#217—61no—
335#217—61no—
336#217—121no—
337#216—64no—
338#215—64no—
339(C2×D3)⋊C4—61no—
340(C2×D3)⋊C4—61no—
341C4⋊Dic3—31no—
342C4⋊Dic3—31no—
343C4⋊Dic3—61no—
344C4⋊Dic3—61no—
345C4⋊Dic3—61no—
346C4⋊Dic3C22×D311yescharacteristic
347Dic3⋊C4—21no—
348Dic3⋊C4—61no—
349Dic3⋊C4—61no—
350Dic3⋊C4—61no—
351Dic3⋊C4—61no—
352Dic3⋊C4—61no—
353Dic3⋊C4—61no—
354Dic3⋊C4—121no—
355C2×C3⋊C8C22×D312yes—
356Dic12—24no—
357Dic12—64no—
358#204—64no—
359#204—64no—
360#204—64no—
361#204—124no—
362ΓL(1,𝔽25)—24no—
363C22×C32—21no—
364C22×C32—21no—
365C22×C32#13712yescomplemented
366C22×C32C22×D411yescharacteristic
367C2×C3⋊D3—24no—
368C2×C3⋊D3—48no—
369C2×C3⋊D3—42no—
370C2×C3⋊D3—42no—
371C2×C3×D3—21no—
372C2×C3×D3—21no—
373C2×C3×D3—21no—
374C2×C3×D3—21no—
375C2×C3×D3—21no—
376C2×C3×D3—44no—
377C2×C3×D3#12012yes—
378C32×C4—21no—
379C32×C4C22×D412yes—
380C3⋊Dic3—41no—
381C3⋊Dic3—41no—
382C3×Dic3—21no—
383C3×Dic3—24no—
384C3×Dic3—41no—
385C3×Dic3—41no—
386C3×Dic3#12012yes—
387C2×#41—92no—
388C2×#41—92no—
389C2×#41—181no—
390C2×#41—181no—
391C2×#41—188no—
392C22×Q8—31no—
393C22×Q8—91no—
394C22×D4—91no—
395C22×D4—181no—
396C23×C4—31no—
397C23×C4—181no—
398#137—188no—
399C2×Q16—32no—
400C2×Q16—92no—
401C2×SD16—92no—
402C2×SD16—92no—
403C2×M16—32no—
404C22⋊Q8—31no—
405C22⋊Q8—91no—
406C22⋊Q8—91no—
407C22⋊Q8—91no—
408C22⋊Q8—181no—
409C22⋊Q8—181no—
410C2×C4⋊C4—91no—
411C2×C4⋊C4—181no—
412C2×C22⋊C4—181no—
413#103—32no—
414#103—92no—
415#102—92no—
416#102—92no—
417C22⋊C8—31no—
418C22⋊C8—32no—
419C22⋊C8D3211yescharacteristic
420C23×C3—21no—
421C23×C3—31no—
422C23×C3—31no—
423C23×C3—62no—
424C23×C3—62no—
425C23×C3—121no—
426C23×C3C2×D1211yescharacteristic
427C23×C3D3×D411yescharacteristic
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—41no—
431C22×D3—64no—
432C22×D3—64no—
433C22×D3—62no—
434C22×D3—62no—
435C22×D3—122no—
436C22×D3—124no—
437C22×D3—122no—
438C22×D3—122no—
439C22×D3—122no—
440C22×D3—122no—
441C22×D3—242no—
442C22×D3—242no—
443C22×D3C2×D1211yescharacteristic
444C22×D3C2×D1211yescharacteristic
445C3×Q8—34no—
446C3×Q8—64no—
447C3×Q8—62no—
448C3×Q8—62no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—31no—
454C2×C3×C4—34no—
455C2×C3×C4—31no—
456C2×C3×C4—42no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459C2×C3×C4—62no—
460C2×C3×C4—64no—
461C2×C3×C4—62no—
462C2×C3×C4—62no—
463C2×C3×C4—61no—
464C2×C3×C4—61no—
465C2×C3×C4C2×D1211yescharacteristic
466C2×C3×C4D3×D411yescharacteristic
467C2×C3×C4C23×D311yescharacteristic
468C2×C3×C4C23×D311yescharacteristic
469#67—68no—
470#67—68no—
471C2×Dic3—24no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—61no—
477C2×Dic3—61no—
478C2×Dic3—61no—
479C2×Dic3—61no—
480C2×Dic3—121no—
481C2×Dic3—121no—
482C2×Dic3—122no—
483C2×Dic3—122no—
484C2×Dic3C2×D1211yescharacteristic
485C2×Dic3C2×D1211yescharacteristic
486D12—34no—
487D12—34no—
488D12—64no—
489D12—64no—
490D12—64no—
491D12—68no—
492D12—68no—
493D12—62no—
494D12—62no—
495D12—122no—
496D12—124no—
497C4×D3—22no—
498C4×D3—22no—
499C4×D3—22no—
500C4×D3—68no—
501C4×D3—68no—
502C4×D3—68no—
503C4×D3—68no—
504C4×D3—122no—
505C4×D3—122no—
506C4×D3D3×D414yes—
507Dic6—24no—
508Dic6—22no—
509Dic6—22no—
510Dic6—62no—
511Dic6—62no—
512Dic6—122no—
513Dic6—122no—
514Dic6—122no—
515Dic6D3×D414yes—
516C3×C8—22no—
517C3×C8—22no—
518C3×C8—42no—
519C3×C8—62no—
520C3⋊C8—22no—
521C2×C32—22no—
522C2×C32C2×#12011yescharacteristic
523C2×C32C2×#13711yescharacteristic
524C2×C32#57511yescharacteristic
525C3⋊D3—44no—
526C3×D3—22no—
527C3×D3—41no—
528C24—31no—
529C24—181no—
530#41—98no—
531#41—184no—
532#41—184no—
533#41—184no—
534#41—188no—
535#41—188no—
536C2×Q8—32no—
537C2×Q8—31no—
538C2×Q8—64no—
539C2×Q8—61no—
540C2×Q8—91no—
541C2×Q8—181no—
542C2×Q8—184no—
543C2×D4—92no—
544C2×D4—184no—
545C2×D4—182no—
546C2×D4—182no—
547C2×D4—188no—
548C2×D4—181no—
549C22×C4—31no—
550C22×C4—31no—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—64no—
555C22×C4—61no—
556C22×C4—182no—
557C22×C4—182no—
558C22×C4—188no—
559C22×C4—181no—
560C22×C4—181no—
561C22×C4C2×D3211yescharacteristic
562Q16—64no—
563Q16—184no—
564SD16—184no—
565SD16—184no—
566M16—64no—
567C2×C8—32no—
568C2×C8C2×D3212yes—
569C4⋊C4—31no—
570C4⋊C4—61no—
571C4⋊C4—91no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C22⋊C4—61no—
577C22⋊C4—181no—
578C22⋊C4—181no—
579C22⋊C4—181no—
580C22×C3—21no—
581C22×C3—21no—
582C22×C3—21no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—22no—
586C22×C3—32no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—61no—
590C22×C3—61no—
591C22×C3—61no—
592C22×C3—61no—
593C22×C3—61no—
594C22×C3—124no—
595C22×C3#90912yescomplemented
596C22×C3#91812yescomplemented
597C22×C3C22×D1211yescharacteristic
598C22×C3C2×D3×D411yescharacteristic
599C2×D3—21no—
600C2×D3—21no—
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—21no—
604C2×D3—44no—
605C2×D3—64no—
606C2×D3—64no—
607C2×D3—124no—
608C2×D3—128no—
609C2×D3—128no—
610C2×D3—122no—
611C2×D3—122no—
612C2×D3—122no—
613C2×D3—122no—
614C2×D3—242no—
615C2×D3—242no—
616C2×D3—248no—
617C2×D3#88212yes—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—22no—
621C3×C4—32no—
622C3×C4—41no—
623C3×C4—64no—
624C3×C4—61no—
625C3×C4—121no—
626C3×C4—121no—
627C3×C4C2×D3×D412yes—
628C3×C4C2×D3×D412yes—
629Dic3—21no—
630Dic3—24no—
631Dic3—41no—
632Dic3—41no—
633Dic3—121no—
634Dic3—121no—
635Dic3—121no—
636Dic3—121no—
637Dic3—241no—
638Dic3—241no—
639Dic3#88212yes—
640C32#300711yescharacteristic, complemented, Sylow
641C23—31no—
642C23—31no—
643C23—62no—
644C23—62no—
645C23—121no—
646C23—184no—
647C23—182no—
648C23—362no—
649C23—362no—
650C23D3×D1211yescharacteristic
651Q8—34no—
652Q8—64no—
653Q8—62no—
654Q8—62no—
655Q8—182no—
656Q8—362no—
657D4—94no—
658D4—184no—
659D4—188no—
660D4—188no—
661D4—182no—
662C2×C4—22no—
663C2×C4—31no—
664C2×C4—34no—
665C2×C4—31no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—64no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—188no—
675C2×C4—188no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4—362no—
679C2×C4—362no—
680C2×C4D3×D1211yescharacteristic
681C2×C4C22×D3211yescharacteristic
682C8—22no—
683C8—62no—
684C2×C3—22no—
685C2×C3—22no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—21no—
689C2×C3—42no—
690C2×C3—62no—
691C2×C3—121no—
692C2×C3C2×#88211yescharacteristic
693C2×C3D3×#12011yescharacteristic
694C2×C3C2×#90911yescharacteristic
695C2×C3#574811yescharacteristic
696C2×C3C2×#91811yescharacteristic
697C2×C3#577711yescharacteristic
698D3—22no—
699D3—41no—
700D3—124no—
701D3—124no—
702D3—244no—
703C22—21no—
704C22—21no—
705C22—32no—
706C22—61no—
707C22—61no—
708C22—61no—
709C22—61no—
710C22—61no—
711C22—124no—
712C22—184no—
713C22—368no—
714C22—362no—
715C22—362no—
716C22#6380112yescomplemented
717C22C2×D3×D1211yescharacteristic
718C4—21no—
719C4—32no—
720C4—61no—
721C4—64no—
722C4—121no—
723C4—121no—
724C4—361no—
725C4—361no—
726C4D32×D412yes—
727C3—21no—
728C3#7864011yescharacteristic, complemented
729C3#8018411yescharacteristic, complemented
730C2—22no—
731C2—62no—
732C2—121no—
733C2—364no—
734C2D3×#88211yescharacteristic
735C2C2×#6380111yescharacteristic
736C2#1059471111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radicalC22×#3799C2
hypercenterC22⋊C8D32
hypocenterC32#3007
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
2. D3×#924C2semidirect
3. C2×#63801C2semidirect
4. #10592430C2semidirect
5. C3×#4739C2semidirect
6. C3×#4726C2semidirect
7. #10591186C2semidirect
8. #10591183C2semidirect
9. #10590970C2semidirect
10. #10590966C2semidirect
11. #10590671C2semidirect
24. C2×D3×Dic6C22semidirect
26. C2×#3744C22semidirect
28. C2×C3×Dic12C22semidirect
29. C2×C3×ΓL(1,𝔽25)C22semidirect
32. D3×C4⋊Dic3C22semidirect
34. #63857C22semidirect
35. #63856C22semidirect
37. C2×#3719C22semidirect
38. C2×#3717C22semidirect
41. #63648C22semidirect
43. C3×(C2×D3)⋊C8C22semidirect
44. C3×#816C22semidirect
45. #63566C22semidirect
46. #63564C22semidirect
62. #4739D3semidirect
69. #4726D3semidirect
166. C2×Dic12C2×D3semidirect
171. C2×ΓL(1,𝔽25)C2×D3semidirect
190. (C2×D3)⋊C8C2×D3semidirect
192. #816C2×D3semidirect
365. C22×C32#137semidirect
595. C22×C3#909semidirect
596. C22×C3#918semidirect
640. C32#3007semidirect
716. C22#63801semidirect
728. C3#78640semidirect
729. C3#80184semidirect

Maximal subgroups

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

subgroupindex
C22×#37992
D3×#9242
C2×#638012
#105924302
C3×#47392
C3×#47262
#105911862
#105911832
#105909702
#105909662
#105906712
#801843
#786403