Finite Group Databasebeta

← #11864206

Subgroups — #11864206

Order 1152.

1603 conjugacy classes of subgroups.

The subgroup lattice has 745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3796C211yesmaximal, characteristic
2#10594925C211yesmaximal, characteristic, complemented
3C2×#63811C212yesmaximal, complemented
4#10592425C211yesmaximal, characteristic, complemented
5C3×#4739C211yesmaximal, characteristic, complemented
6C3×#4731C211yesmaximal, characteristic, complemented
7#10591185C211yesmaximal, characteristic, complemented
8#10591169C211yesmaximal, characteristic, complemented
9#10590965C212yesmaximal, complemented
10#10590961C212yesmaximal, complemented
11#10590957C212yesmaximal, complemented
12#80184—31nomaximal
13#80147—31nomaximal
14C22×C4×C3⋊D3C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×Dic6C2211yescharacteristic
17C22×#626—21no—
18C22×D3×Dic3—21no—
19C2×#3797C2211yescharacteristic, complemented
20C2×#3796—21no—
21C2×#3796—21no—
22C2×#3796—28no—
23C2×#3796C2212yes—
24C2×#3796C2212yes—
25C2×#3743C2212yescomplemented
26C3×#924C2211yescharacteristic
27C3×#924C2211yescharacteristic
28C2×C3×Dic12C2212yescomplemented
29C2×C3×#204C2212yescomplemented
30#63982—21no—
31#63974—21no—
32#63900C2211yescharacteristic, complemented
33#63883—21no—
34#63871C2211yescharacteristic, complemented
35#63871C2211yescharacteristic, complemented
36#63865—21no—
37C2×#3718C2212yescomplemented
38C2×#3715C2212yescomplemented
39#63811—28no—
40C32×C22⋊C8C2211yescharacteristic
41#63657C2211yescharacteristic
42#63647C2212yescomplemented
43C3×#821C2212yescomplemented
44C3×#816C2212yescomplemented
45#63565C2212yescomplemented
46#63562C2212yescomplemented
47C22×#239—31no—
48C22×#237—31no—
49C2×#918—32no—
50C2×#915—32no—
51D3×C22⋊Q8—31no—
52D3×C22⋊Q8—31no—
53C3×#451—31no—
54C3×#450—31no—
55#5228—31no—
56#5218—31no—
57#5187—32no—
58#5173—32no—
59#5050—31no—
60#5046—31no—
61#4808—32no—
62#4803—32no—
63#4783—32no—
64#4771—32no—
65#4739D311yescharacteristic, complemented
66#4731D311yescharacteristic, complemented
67#4726—31no—
68#4726—31no—
69#4726—61no—
70C23×C3⋊D3D411yescharacteristic
71C23×C3×D3—21no—
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3D411yescharacteristic
74C2×C4×C3⋊D3—24no—
75C2×C4×C3⋊D3D411yescharacteristic
76C2×C4×C3⋊D3D411yescharacteristic
77C2×C4×C3⋊D3C2311yescharacteristic
78C2×C4×C3⋊D3C2311yescharacteristic
79C22×C3×Dic3—21no—
80C2×C3×D12—21no—
81C2×C3×D12—24no—
82C2×C3×D12C2312yes—
83C2×C3×Dic6—21no—
84C2×C3×Dic6—24no—
85C2×C3×Dic6C2311yescharacteristic
86C2×C3×Dic6C2311yescharacteristic
87C2×C3×Dic6C2312yes—
88C2×#627—21no—
89C2×#626—28no—
90C2×#626—22no—
91C2×#626—22no—
92C2×#624—21no—
93C2×#624—21no—
94C2×D3×Dic3—28no—
95C2×D3×Dic3—22no—
96C2×D3×Dic3—22no—
97#3797—24no—
98#3796—28no—
99#3796—28no—
100#3796—24no—
101#3796—24no—
102#3796—24no—
103#3796D418yes—
104C2×C32×C8C2312yes—
105C2×C3⋊(C3⋊C8)C2312yes—
106#3743—24no—
107C3×#217—21no—
108C3×#217—21no—
109C3×C4⋊Dic3C2311yescharacteristic
110C3×C4⋊Dic3C2311yescharacteristic
111C3×Dic3⋊C4—21no—
112C3×Dic3⋊C4—21no—
113C3×Dic12—24no—
114C3×#204—24no—
115#3724—21no—
116Dic3⋊Dic3—21no—
117Dic3⋊Dic3—21no—
118#3722—21no—
119#3722—21no—
120#3718—24no—
121#3715—24no—
122#3007—91noSylow
123C22×C3×Q8—31no—
124C22×C3×D4—31no—
125C22×#67—61no—
126C23×Dic3—61no—
127C2×#239—32no—
128C2×#239—32no—
129C2×#239—61no—
130C2×#239—61no—
131C2×#239—68no—
132C2×D3×Q8—31no—
133C2×D3×Q8—31no—
134C2×#237—32no—
135C2×#237—32no—
136C2×#237—61no—
137C2×#237—61no—
138C2×#237—68no—
139C22×D12—61no—
140C22×D12C2×D311yescharacteristic
141C22×C4×D3—31no—
142C22×C4×D3—31no—
143C22×C4×D3—61no—
144C22×C4×D3—61no—
145C22×Dic6C2×D311yescharacteristic
146C2×C3×Q16—32no—
147C2×C3×SD16—32no—
148C3×C22⋊Q8—31no—
149C3×C22⋊Q8—31no—
150#946—31no—
151#946—31no—
152C2×#216—32no—
153C2×#216—32no—
154C2×#215—32no—
155C2×#214—32no—
156#924C2×D311yescharacteristic
157#924C2×D311yescharacteristic
158#918—68no—
159#915—68no—
160C2×Dic12C2×D312yescomplemented
161C2×#204C2×D312yescomplemented
162C2×ΓL(1,𝔽25)—32no—
163C2×ΓL(1,𝔽25)—32no—
164C2×ΓL(1,𝔽25)—62no—
165#897—31no—
166#897—31no—
167#896—61no—
168#896—61no—
169D3×C4⋊C4—31no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172D3×C4⋊C4—61no—
173D3×C22⋊C4—61no—
174D3×C22⋊C4—61no—
175#878—61no—
176#878—61no—
177C3×#103—32no—
178C3×#102—32no—
179C3×C22⋊C8—21no—
180C3×C22⋊C8C2×D311yescharacteristic
181C3×C22⋊C8C2×D311yescharacteristic
182#835—32no—
183#832—32no—
184#830—31no—
185#830—31no—
186#830—61no—
187#821C2×D312yescomplemented
188(C2×D3)⋊C8—32no—
189(C2×D3)⋊C8—32no—
190(C2×D3)⋊C8—62no—
191#816C2×D312yescomplemented
192#810—32no—
193#809—32no—
194C23×C32C2×D411yescharacteristic
195C22×C3⋊D3—22no—
196C22×C3⋊D3—22no—
197C22×C3⋊D3—41no—
198C22×C3⋊D3C2×D411yescharacteristic
199C22×C3⋊D3C2×D411yescharacteristic
200C22×C3×D3—24no—
201C22×C3×D3—22no—
202C22×C3×D3—42no—
203C22×C3×D3—42no—
204C2×C32×C4—22no—
205C2×C32×C4C2×D411yescharacteristic
206C2×C32×C4C2411yescharacteristic
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3C2×D411yescharacteristic
209C2×C3⋊Dic3C2×D411yescharacteristic
210C4×C3⋊D3—22no—
211C4×C3⋊D3—22no—
212C4×C3⋊D3—22no—
213C4×C3⋊D3C2×D414yes—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—22no—
216C2×C3×Dic3—21no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3—21no—
219C2×C3×Dic3—21no—
220C3×D12—24no—
221C3×D12—22no—
222C3×D12C2×D414yes—
223C3×Dic6—24no—
224C3×Dic6—22no—
225C3×Dic6—22no—
226C3×Dic6—22no—
227C3×Dic6C2×D414yes—
228#627—42no—
229#626—28no—
230#626—28no—
231#624—42no—
232#624—42no—
233D3×Dic3—28no—
234D3×Dic3—28no—
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—31no—
245#450—91no—
246#417—92no—
247#407—91no—
248C24×C3—61no—
249C23×D3—21no—
250C23×D3—31no—
251C23×D3—31no—
252C23×D3—61no—
253C2×C3×Q8—32no—
254C2×C3×Q8—31no—
255C2×C3×Q8—31no—
256C2×C3×Q8—64no—
257C2×C3×Q8—61no—
258C2×C3×D4—32no—
259C2×C3×D4—64no—
260C2×C3×D4—61no—
261C22×C3×C4—21no—
262C22×C3×C4—61no—
263C22×C3×C4C22×D311yescharacteristic
264C22×C3×C4C22×D311yescharacteristic
265C2×#67—62no—
266C2×#67—62no—
267C2×#67—68no—
268C22×Dic3—21no—
269C22×Dic3—31no—
270C22×Dic3—31no—
271C22×Dic3—61no—
272C22×Dic3—62no—
273C22×Dic3—62no—
274C22×Dic3—68no—
275#239—38no—
276#239—64no—
277#239—64no—
278#239—68no—
279#239—68no—
280#239—64no—
281D3×Q8—64no—
282D3×Q8—64no—
283#237—38no—
284#237—64no—
285#237—64no—
286#237—68no—
287#237—68no—
288#237—64no—
289C2×D12—21no—
290C2×D12—24no—
291C2×D12—62no—
292C2×D12—62no—
293C2×D12—68no—
294C2×D12C22×D312yes—
295C2×C4×D3—31no—
296C2×C4×D3—31no—
297C2×C4×D3—31no—
298C2×C4×D3—31no—
299C2×C4×D3—31no—
300C2×C4×D3—31no—
301C2×C4×D3—31no—
302C2×C4×D3—31no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—64no—
308C2×C4×D3—64no—
309C2×C4×D3—62no—
310C2×C4×D3—62no—
311C2×C4×D3—68no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—124no—
317C2×Dic6—21no—
318C2×Dic6—24no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6C22×D311yescharacteristic
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D312yes—
324C3×Q16—64no—
325C3×SD16—64no—
326C2×C3×C8—22no—
327C2×C3×C8C22×D312yes—
328C2×C3×C8C22×D312yes—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335#217—21no—
336#217—21no—
337#216—64no—
338#216—64no—
339#215—64no—
340#214—64no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—61no—
344(C2×D3)⋊C4—61no—
345C4⋊Dic3—61no—
346C4⋊Dic3—61no—
347C4⋊Dic3C22×D311yescharacteristic
348C4⋊Dic3C22×D311yescharacteristic
349Dic3⋊C4—21no—
350Dic3⋊C4—21no—
351Dic3⋊C4—61no—
352Dic3⋊C4—61no—
353Dic3⋊C4—61no—
354Dic3⋊C4—61no—
355C2×C3⋊C8—32no—
356C2×C3⋊C8—32no—
357C2×C3⋊C8—62no—
358Dic12—24no—
359#204—24no—
360ΓL(1,𝔽25)—64no—
361ΓL(1,𝔽25)—64no—
362ΓL(1,𝔽25)—124no—
363C22×C32—21no—
364C22×C32—21no—
365C22×C32#13712yescomplemented
366C22×C32C22×D411yescharacteristic
367C2×C3⋊D3—21no—
368C2×C3⋊D3—21no—
369C2×C3⋊D3—21no—
370C2×C3⋊D3—21no—
371C2×C3⋊D3—21no—
372C2×C3⋊D3—44no—
373C2×C3⋊D3#12012yes—
374C2×C3×D3—24no—
375C2×C3×D3—48no—
376C2×C3×D3—42no—
377C2×C3×D3—42no—
378C32×C4—21no—
379C32×C4C22×D412yes—
380C3⋊Dic3—21no—
381C3⋊Dic3#12012yes—
382C3×Dic3—24no—
383C3×Dic3—41no—
384C3×Dic3—41no—
385C3×Dic3—41no—
386C3×Dic3—41no—
387C2×#41—92no—
388C2×#41—92no—
389C2×#41—181no—
390C2×#41—181no—
391C2×#41—188no—
392C22×Q8—31no—
393C22×Q8—91no—
394C22×D4—31no—
395C22×D4—181no—
396C23×C4—91no—
397C23×C4—181no—
398#137—188no—
399C2×Q16—32no—
400C2×Q16—92no—
401C2×SD16—32no—
402C2×SD16—92no—
403C2×M16—92no—
404C22⋊Q8—31no—
405C22⋊Q8—31no—
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—32no—
416#102—92no—
417C22⋊C8—91no—
418C22⋊C8—92no—
419C22⋊C8D3211yescharacteristic
420C23×C3—21no—
421C23×C3—64no—
422C23×C3—62no—
423C23×C3—122no—
424C23×C3—122no—
425C23×C3D3×D411yescharacteristic
426C23×C3D3×D411yescharacteristic
427C22×D3—24no—
428C22×D3—22no—
429C22×D3—31no—
430C22×D3—31no—
431C22×D3—31no—
432C22×D3—31no—
433C22×D3—42no—
434C22×D3—42no—
435C22×D3—61no—
436C22×D3—61no—
437C22×D3—62no—
438C22×D3—62no—
439C22×D3—62no—
440C22×D3—62no—
441C22×D3—122no—
442C22×D3—122no—
443C22×D3—121no—
444C22×D3—121no—
445C22×D3—122no—
446C3×Q8—34no—
447C3×Q8—64no—
448C3×Q8—62no—
449C3×Q8—62no—
450C3×Q8—62no—
451C3×D4—34no—
452C3×D4—64no—
453C3×D4—62no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—42no—
459C2×C3×C4—64no—
460C2×C3×C4—62no—
461C2×C3×C4—61no—
462C2×C3×C4—61no—
463C2×C3×C4—61no—
464C2×C3×C4—61no—
465C2×C3×C4D3×D411yescharacteristic
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—21no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—21no—
477C2×Dic3—31no—
478C2×Dic3—31no—
479C2×Dic3—31no—
480C2×Dic3—31no—
481C2×Dic3—61no—
482C2×Dic3—61no—
483C2×Dic3—68no—
484C2×Dic3—68no—
485C2×Dic3—62no—
486C2×Dic3—62no—
487C2×Dic3—122no—
488D12—24no—
489D12—22no—
490D12—68no—
491D12—68no—
492D12D3×D414yes—
493C4×D3—34no—
494C4×D3—34no—
495C4×D3—64no—
496C4×D3—62no—
497C4×D3—62no—
498C4×D3—68no—
499C4×D3—62no—
500C4×D3—62no—
501C4×D3—68no—
502C4×D3—62no—
503C4×D3—62no—
504C4×D3—122no—
505C4×D3—122no—
506C4×D3—122no—
507C4×D3—122no—
508C4×D3—122no—
509C4×D3—122no—
510C4×D3—122no—
511Dic6—24no—
512Dic6—22no—
513Dic6—22no—
514Dic6—22no—
515Dic6—122no—
516Dic6—122no—
517Dic6D3×D414yes—
518C3×C8—22no—
519C3×C8—22no—
520C3×C8—42no—
521C3⋊C8—62no—
522C3⋊C8—62no—
523C3⋊C8—122no—
524C2×C32—22no—
525C2×C32C2×#12011yescharacteristic
526C2×C32C2×#13711yescharacteristic
527C2×C32#57511yescharacteristic
528C3⋊D3—22no—
529C3⋊D3—41no—
530C3×D3—44no—
531C24—61no—
532C24—91no—
533#41—98no—
534#41—184no—
535#41—184no—
536#41—184no—
537#41—188no—
538#41—188no—
539C2×Q8—32no—
540C2×Q8—31no—
541C2×Q8—31no—
542C2×Q8—64no—
543C2×Q8—61no—
544C2×Q8—181no—
545C2×Q8—184no—
546C2×D4—32no—
547C2×D4—64no—
548C2×D4—61no—
549C2×D4—182no—
550C2×D4—182no—
551C2×D4—188no—
552C22×C4—61no—
553C22×C4—91no—
554C22×C4—91no—
555C22×C4—91no—
556C22×C4—91no—
557C22×C4—91no—
558C22×C4—184no—
559C22×C4—181no—
560C22×C4—181no—
561C22×C4—182no—
562C22×C4—182no—
563C22×C4—188no—
564C22×C4C2×D3211yescharacteristic
565Q16—64no—
566Q16—184no—
567SD16—64no—
568SD16—184no—
569M16—184no—
570C2×C8—92no—
571C2×C8C2×D3212yes—
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C22⋊C4—61no—
580C22⋊C4—61no—
581C22⋊C4—181no—
582C22⋊C4—181no—
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—22no—
589C22×C3—41no—
590C22×C3—41no—
591C22×C3—64no—
592C22×C3—128no—
593C22×C3—122no—
594C22×C3—122no—
595C22×C3#91512yescomplemented
596C22×C3#91812yescomplemented
597C22×C3C2×D3×D411yescharacteristic
598C22×C3C2×D3×D411yescharacteristic
599C2×D3—24no—
600C2×D3—32no—
601C2×D3—32no—
602C2×D3—48no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—62no—
606C2×D3—61no—
607C2×D3—61no—
608C2×D3—61no—
609C2×D3—61no—
610C2×D3—62no—
611C2×D3—61no—
612C2×D3—61no—
613C2×D3—61no—
614C2×D3—61no—
615C2×D3—61no—
616C2×D3—61no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—124no—
622C2×D3—124no—
623C2×D3—128no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—22no—
627C3×C4—41no—
628C3×C4—64no—
629C3×C4—121no—
630C3×C4—121no—
631C3×C4—121no—
632C3×C4—121no—
633C3×C4C2×D3×D412yes—
634C3×C4C2×D3×D412yes—
635Dic3—24no—
636Dic3—32no—
637Dic3—32no—
638Dic3—41no—
639Dic3—41no—
640Dic3—41no—
641Dic3—41no—
642Dic3—62no—
643Dic3—61no—
644Dic3—61no—
645Dic3—121no—
646C32#300711yescharacteristic, complemented, Sylow
647C23—64no—
648C23—62no—
649C23—91no—
650C23—91no—
651C23—122no—
652C23—122no—
653C23—182no—
654C23—182no—
655C23—361no—
656C23#380211yescharacteristic
657Q8—34no—
658Q8—64no—
659Q8—62no—
660Q8—62no—
661Q8—62no—
662Q8—362no—
663D4—34no—
664D4—64no—
665D4—62no—
666D4—188no—
667D4—188no—
668C2×C4—22no—
669C2×C4—64no—
670C2×C4—62no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—91no—
676C2×C4—94no—
677C2×C4—91no—
678C2×C4—182no—
679C2×C4—182no—
680C2×C4—188no—
681C2×C4—188no—
682C2×C4—182no—
683C2×C4—182no—
684C2×C4—362no—
685C2×C4—362no—
686C2×C4#380211yescharacteristic
687C2×C4C22×D3211yescharacteristic
688C8—22no—
689C8—182no—
690C2×C3—22no—
691C2×C3—22no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—42no—
696C2×C3—124no—
697C2×C3D3×#12011yescharacteristic
698C2×C3D3×#12011yescharacteristic
699C2×C3C2×#91511yescharacteristic
700C2×C3C2×#91811yescharacteristic
701C2×C3#577311yescharacteristic
702C2×C3#577711yescharacteristic
703D3—44no—
704D3—62no—
705D3—62no—
706D3—122no—
707D3—122no—
708D3—121no—
709D3—121no—
710C22—21no—
711C22—21no—
712C22—64no—
713C22—92no—
714C22—128no—
715C22—122no—
716C22—122no—
717C22—181no—
718C22—181no—
719C22—181no—
720C22—181no—
721C22—181no—
722C22—364no—
723C22#6381112yescomplemented
724C22C2×#380211yescharacteristic
725C4—21no—
726C4—64no—
727C4—92no—
728C4—121no—
729C4—121no—
730C4—121no—
731C4—121no—
732C4—181no—
733C4D32×D412yes—
734C3—21no—
735C3#8014711yescharacteristic, complemented
736C3#8018411yescharacteristic, complemented
737C2—22no—
738C2—124no—
739C2—182no—
740C2—361no—
741C2#1059425811yescharacteristic
742C2C2×#6381111yescharacteristic
743C2#1059471811yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radicalC22×#3796C2
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. #10594925C2semidirect
3. C2×#63811C2semidirect
4. #10592425C2semidirect
5. C3×#4739C2semidirect
6. C3×#4731C2semidirect
7. #10591185C2semidirect
8. #10591169C2semidirect
9. #10590965C2semidirect
10. #10590961C2semidirect
11. #10590957C2semidirect
19. C2×#3797C22semidirect
25. C2×#3743C22semidirect
28. C2×C3×Dic12C22semidirect
29. C2×C3×#204C22semidirect
32. #63900C22semidirect
34. #63871C22semidirect
35. #63871C22semidirect
37. C2×#3718C22semidirect
38. C2×#3715C22semidirect
42. #63647C22semidirect
43. C3×#821C22semidirect
44. C3×#816C22semidirect
45. #63565C22semidirect
46. #63562C22semidirect
65. #4739D3semidirect
66. #4731D3semidirect
160. C2×Dic12C2×D3semidirect
161. C2×#204C2×D3semidirect
187. #821C2×D3semidirect
191. #816C2×D3semidirect
365. C22×C32#137semidirect
595. C22×C3#915semidirect
596. C22×C3#918semidirect
646. C32#3007semidirect
723. C22#63811semidirect
735. C3#80147semidirect
736. C3#80184semidirect

Maximal subgroups

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

subgroupindex
C22×#37962
#105949252
C2×#638112
#105924252
C3×#47392
C3×#47312
#105911852
#105911692
#105909652
#105909612
#105909572
#801843
#801473