Finite Group Databasebeta

← #11803299

Subgroups — #11803299

Order 1152.

1947 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64162C211yesmaximal, characteristic
2C22×C3×#217C211yesmaximal, characteristic, complemented
3C2×#63952C211yesmaximal, characteristic, complemented
4C3×#5247C211yesmaximal, characteristic, complemented
5#10591722C212yesmaximal, complemented
6#10591711C211yesmaximal, characteristic, complemented
7#10591704C212yesmaximal, complemented
8#10591703C212yesmaximal, complemented
9#10591703C212yesmaximal, complemented
10Dic3×#217C211yesmaximal, characteristic, complemented
11#10591693C211yesmaximal, characteristic, complemented
12#82096—31nomaximal
13#73821—31nomaximal
14C25×C32C2211yescharacteristic
15C22×#638C2211yescharacteristic
16C22×#638C2212yes—
17C23×C3×Dic3C2211yescharacteristic
18C23×C3×Dic3C2211yescharacteristic
19C22×#624C2211yescharacteristic, complemented
20#64162C418yescomplemented
21C2×#3757C2211yescharacteristic
22C2×#3757C2212yes—
23C2×C3×#217—24no—
24C2×C3×#217C2211yescharacteristic
25C2×C3×#217C2211yescharacteristic
26C2×C3×#217C2212yes—
27C2×C3×#217C2212yes—
28C2×C3×#217C2212yes—
29C2×C3×#217C2212yes—
30C2×#3724C2211yescharacteristic, complemented
31C2×#3724C2212yescomplemented
32C2×#3722C2211yescharacteristic, complemented
33C2×#3722C2212yescomplemented
34C2×Dic32C2211yescharacteristic, complemented
35C2×Dic32C2212yescomplemented
36#63952—24no—
37#63579C2212yescomplemented
38#63579C2212yescomplemented
39#63579C2212yescomplemented
40C22×C3×C22⋊C4—31no—
41C2×#953—31no—
42C2×#953—31no—
43C2×#953—61no—
44C22×#217D311yescharacteristic, complemented
45C2×C4×#67—31no—
46C2×#67⋊C4—31no—
47C3×#379—31no—
48#5247D311yescharacteristic, complemented
49#5213—31no—
50#5210—31no—
51C4×#217—31no—
52#4958—31no—
53#4957—32no—
54#4957—32no—
55#4956—32no—
56#4956—32no—
57#4946—31no—
58#4945—32no—
59#4945—32no—
60#4944—32no—
61#4944—32no—
62Dic3×C22⋊C4—31no—
63C24×C32—22no—
64C24×C32—22no—
65C24×C32—42no—
66C24×C32—42no—
67C24×C32C2×C414yescomplemented
68C24×C32C2312yes—
69C24×C32C2311yescharacteristic
70C23×C3⋊D3C2311yescharacteristic
71C2×#638—22no—
72C2×#638—22no—
73C2×#638—42no—
74C2×#638—42no—
75C2×#638C2×C414yes—
76C2×#638C2×C418yescomplemented
77C22×C3⋊Dic3C2311yescharacteristic
78C22×C3⋊Dic3C2312yes—
79C22×C3×Dic3—22no—
80C22×C3×Dic3—42no—
81C22×C3×Dic3—42no—
82C22×C3×Dic3D414yescomplemented
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2312yes—
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2311yescharacteristic
88C22×C3×Dic3C2311yescharacteristic
89C2×#624—22no—
90C2×#624—42no—
91#3757C2×C418yescomplemented
92#3757C2×C414yescomplemented
93C3×#217—22no—
94C3×#217—22no—
95C3×#217—24no—
96C3×#217—24no—
97C3×#217—42no—
98C3×#217—42no—
99#3724—22no—
100#3724—42no—
101#3722—22no—
102#3722—42no—
103Dic32—22no—
104Dic32—42no—
105#2321—91noSylow
106C25×C3—21no—
107C25×C3C2×D311yescharacteristic
108C25×C3C2×D311yescharacteristic
109C23×C3×C4—31no—
110C23×C3×C4—31no—
111C22×#67—31no—
112C22×#67—31no—
113C22×#67—32no—
114C22×#67—32no—
115C22×#67—61no—
116C22×#67—62no—
117C23×Dic3C2×D311yescharacteristic
118C23×Dic3C2×D311yescharacteristic
119C22×C4×D3—31no—
120C22×C4×D3—31no—
121C2×C3×C22⋊C4—31no—
122C2×C3×C22⋊C4—32no—
123C2×C3×C22⋊C4—32no—
124C2×C3×C22⋊C4—31no—
125C2×C3×C22⋊C4—32no—
126C2×C3×C22⋊C4—32no—
127C2×C3×C22⋊C4—64no—
128#953—38no—
129#953—38no—
130#953—68no—
131C2×#217—24no—
132C2×#217—31no—
133C2×#217—32no—
134C2×#217—32no—
135C2×#217—31no—
136C2×#217—61no—
137C2×#217—62no—
138C2×#217C2×D312yes—
139C2×#217C2×D312yes—
140C2×#217C2×D311yescharacteristic
141C2×#217C2×D311yescharacteristic
142C2×#217C2×D312yes—
143C2×#217C2×D312yes—
144C4×#67—64no—
145C2×(C2×D3)⋊C4—31no—
146C2×(C2×D3)⋊C4—31no—
147C2×(C2×D3)⋊C4—32no—
148C2×(C2×D3)⋊C4—32no—
149C2×Dic3⋊C4—31no—
150C2×Dic3⋊C4—31no—
151C2×Dic3⋊C4—32no—
152C2×Dic3⋊C4—32no—
153C2×C4×Dic3—31no—
154C2×C4×Dic3—31no—
155C2×C4×Dic3—32no—
156C2×C4×Dic3—32no—
157#67⋊C4—64no—
158C3⋊#95—32no—
159C3⋊#95—32no—
160C3⋊#95—32no—
161C3⋊#95—32no—
162C3⋊#95—32no—
163C3⋊#95—32no—
164C23×C32—22no—
165C23×C32—22no—
166C23×C32—22no—
167C23×C32—22no—
168C23×C32—28no—
169C23×C32—22no—
170C23×C32—22no—
171C23×C32—22no—
172C23×C32—22no—
173C23×C32—48no—
174C23×C32—44no—
175C23×C32—44no—
176C23×C32—48no—
177C23×C32C22×C414yes—
178C23×C32C22×C412yes—
179C23×C32C2×D412yes—
180C23×C32#4112yes—
181C23×C32C2411yescharacteristic
182C22×C3⋊D3—21no—
183C22×C3⋊D3—21no—
184C22×C3⋊D3—22no—
185C22×C3⋊D3—22no—
186C22×C3⋊D3C22×C412yes—
187#638—28no—
188#638—48no—
189C2×C3⋊Dic3—21no—
190C2×C3⋊Dic3—21no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3—22no—
193C2×C3⋊Dic3C22×C412yes—
194C2×C3⋊Dic3C22×C414yes—
195C2×C3×Dic3—22no—
196C2×C3×Dic3—22no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—21no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—22no—
202C2×C3×Dic3—22no—
203C2×C3×Dic3—22no—
204C2×C3×Dic3—22no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—44no—
208C2×C3×Dic3—44no—
209C2×C3×Dic3C2×D412yes—
210C2×C3×Dic3C2×D412yes—
211#624—44no—
212C2×#120—91no—
213C2×C4×D4—91no—
214C22×C22⋊C4—31no—
215#390—92no—
216#388—92no—
217#388—92no—
218#386—92no—
219#386—91no—
220#385—91no—
221#379—31no—
222C4×C22⋊C4—91no—
223C24×C3—22no—
224C24×C3—22no—
225C24×C3—22no—
226C24×C3—22no—
227C24×C3—24no—
228C24×C3—22no—
229C24×C3—21no—
230C24×C3—42no—
231C24×C3—42no—
232C24×C3—42no—
233C24×C3—42no—
234C24×C3—42no—
235C24×C3—42no—
236C24×C3—44no—
237C24×C3—44no—
238C24×C3C4×D314yescomplemented
239C24×C3C4×D314yescomplemented
240C24×C3C22×D312yes—
241C24×C3C22×D312yes—
242C24×C3C22×D311yescharacteristic
243C24×C3C22×D311yescharacteristic
244C23×D3—31no—
245C23×D3—31no—
246C23×D3—61no—
247C22×C3×C4—31no—
248C22×C3×C4—31no—
249C22×C3×C4—34no—
250C22×C3×C4—32no—
251C22×C3×C4—32no—
252C22×C3×C4—31no—
253C22×C3×C4—31no—
254C22×C3×C4—62no—
255C22×C3×C4—122no—
256C22×C3×C4—122no—
257C2×#67—34no—
258C2×#67—34no—
259C2×#67—38no—
260C2×#67—38no—
261C2×#67—64no—
262C2×#67—68no—
263C2×#67—62no—
264C2×#67—62no—
265C2×#67—62no—
266C2×#67—62no—
267C2×#67—122no—
268C2×#67—122no—
269C2×#67—122no—
270C2×#67—122no—
271C2×#67—122no—
272C2×#67—122no—
273C2×#67—124no—
274C2×#67—124no—
275C22×Dic3—22no—
276C22×Dic3—31no—
277C22×Dic3—31no—
278C22×Dic3—32no—
279C22×Dic3—32no—
280C22×Dic3—42no—
281C22×Dic3—42no—
282C22×Dic3—61no—
283C22×Dic3—62no—
284C22×Dic3#6714yescomplemented
285C22×Dic3C22×D312yes—
286C22×Dic3C22×D312yes—
287C22×Dic3C22×D311yescharacteristic
288C22×Dic3C22×D311yescharacteristic
289C22×Dic3C22×D311yescharacteristic
290C22×Dic3C22×D311yescharacteristic
291C2×C4×D3—62no—
292C2×C4×D3—62no—
293C2×C4×D3—122no—
294C2×C4×D3—122no—
295C3×C22⋊C4—64no—
296C3×C22⋊C4—64no—
297C3×C22⋊C4—62no—
298C3×C22⋊C4—62no—
299C3×C22⋊C4—122no—
300C3×C22⋊C4—122no—
301#217—22no—
302#217—22no—
303#217—24no—
304#217—24no—
305#217—38no—
306#217—38no—
307#217—34no—
308#217—34no—
309#217—42no—
310#217—42no—
311#217—68no—
312#217—64no—
313(C2×D3)⋊C4—62no—
314(C2×D3)⋊C4—62no—
315(C2×D3)⋊C4—122no—
316(C2×D3)⋊C4—122no—
317Dic3⋊C4—62no—
318Dic3⋊C4—62no—
319Dic3⋊C4—122no—
320Dic3⋊C4—122no—
321C4×Dic3—62no—
322C4×Dic3—62no—
323C4×Dic3—122no—
324C4×Dic3—122no—
325C22×C32—24no—
326C22×C32—24no—
327C22×C32—22no—
328C22×C32—22no—
329C22×C32—24no—
330C22×C32—24no—
331C22×C32—24no—
332C22×C32—416no—
333C22×C32—42no—
334C22×C32—42no—
335C22×C32—42no—
336C22×C32—42no—
337C22×C32C4×D414yes—
338C22×C32C23×C411yescharacteristic
339C22×C32C22×D411yescharacteristic
340C22×C32C2×#4111yescharacteristic
341C22×C32H(5,𝔽2)12yes—
342C22×C32H(5,𝔽2)12yes—
343C2×C3⋊D3—22no—
344C2×C3⋊D3—24no—
345C2×C3⋊D3—41no—
346C2×C3⋊D3—41no—
347C2×C3⋊D3—42no—
348C3⋊Dic3—22no—
349C3⋊Dic3—24no—
350C3×Dic3—22no—
351C3×Dic3—22no—
352C3×Dic3—41no—
353C3×Dic3—41no—
354C3×Dic3—42no—
355C3×Dic3—42no—
356C25D3211yescharacteristic
357C22×D4—91no—
358C22×D4—92no—
359C23×C4—31no—
360C23×C4—31no—
361C23×C4—91no—
362#120—98no—
363C4×D4—184no—
364C2×C4⋊C4—91no—
365C2×C4⋊C4—92no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—32no—
368C2×C22⋊C4—31no—
369C2×C22⋊C4—31no—
370C2×C22⋊C4—32no—
371C2×C22⋊C4—32no—
372C2×C22⋊C4—64no—
373C2×C22⋊C4—91no—
374C2×C22⋊C4—92no—
375C2×C22⋊C4—91no—
376C2×C22⋊C4—92no—
377C2×C42—91no—
378C2×C42—92no—
379#95—92no—
380#95—92no—
381#95—92no—
382C23×C3—22no—
383C23×C3—22no—
384C23×C3—22no—
385C23×C3—22no—
386C23×C3—24no—
387C23×C3—24no—
388C23×C3—28no—
389C23×C3—28no—
390C23×C3—22no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3—22no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—21no—
403C23×C3—22no—
404C23×C3—24no—
405C23×C3—22no—
406C23×C3—22no—
407C23×C3—42no—
408C23×C3—42no—
409C23×C3—42no—
410C23×C3—42no—
411C23×C3—42no—
412C23×C3—42no—
413C23×C3—48no—
414C23×C3—48no—
415C23×C3—48no—
416C23×C3—416no—
417C23×C3—48no—
418C23×C3—44no—
419C23×C3—44no—
420C23×C3—44no—
421C23×C3—44no—
422C23×C3—48no—
423C23×C3—416no—
424C23×C3—48no—
425C23×C3—48no—
426C23×C3C2×C4×D314yes—
427C23×C3C2×C4×D314yes—
428C23×C3C2×C4×D312yes—
429C23×C3C2×C4×D312yes—
430C23×C3#23512yes—
431C23×C3D3×D412yes—
432C23×C3#23712yes—
433C23×C3C2×#6712yes—
434C23×C3C23×D311yescharacteristic
435C23×C3C23×D311yescharacteristic
436C22×D3—32no—
437C22×D3—32no—
438C22×D3—62no—
439C22×D3—61no—
440C22×D3—61no—
441C22×D3—61no—
442C22×D3—62no—
443C22×D3—62no—
444C22×D3—62no—
445C22×D3—62no—
446C22×D3—61no—
447C22×D3—121no—
448C22×D3—121no—
449C22×D3—122no—
450C22×D3—122no—
451C2×C3×C4—32no—
452C2×C3×C4—32no—
453C2×C3×C4—62no—
454C2×C3×C4—62no—
455C2×C3×C4—62no—
456C2×C3×C4—62no—
457C2×C3×C4—62no—
458C2×C3×C4—62no—
459C2×C3×C4—62no—
460C2×C3×C4—62no—
461C2×C3×C4—62no—
462C2×C3×C4—62no—
463C2×C3×C4—61no—
464C2×C3×C4—61no—
465C2×C3×C4—124no—
466C2×C3×C4—124no—
467#67—68no—
468#67—68no—
469#67—128no—
470#67—128no—
471#67—128no—
472#67—1216no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—21no—
476C2×Dic3—21no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—22no—
484C2×Dic3—22no—
485C2×Dic3—32no—
486C2×Dic3—34no—
487C2×Dic3—34no—
488C2×Dic3—32no—
489C2×Dic3—44no—
490C2×Dic3—44no—
491C2×Dic3—62no—
492C2×Dic3—64no—
493C2×Dic3—61no—
494C2×Dic3—61no—
495C2×Dic3—61no—
496C2×Dic3—62no—
497C2×Dic3—62no—
498C2×Dic3—62no—
499C2×Dic3—62no—
500C2×Dic3—61no—
501C2×Dic3—121no—
502C2×Dic3—121no—
503C2×Dic3—122no—
504C2×Dic3—122no—
505C2×Dic3C2×#6712yes—
506C2×Dic3C2×#6712yes—
507C4×D3—124no—
508C4×D3—124no—
509C2×C32—24no—
510C2×C32—44no—
511C2×C32C2×C4×D411yescharacteristic
512C2×C32#51812yes—
513C2×C32#53411yescharacteristic
514C2×C32#53511yescharacteristic
515C2×C32#53812yes—
516C3⋊D3—42no—
517C24—22no—
518C24—22no—
519C24—42no—
520C24—42no—
521C24—91no—
522C24#62414yescomplemented
523C24C2×D3212yes—
524C24C2×D3211yescharacteristic
525C2×D4—94no—
526C2×D4—98no—
527C2×D4—182no—
528C2×D4—182no—
529C2×D4—362no—
530C2×D4—362no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—34no—
534C22×C4—32no—
535C22×C4—31no—
536C22×C4—32no—
537C22×C4—31no—
538C22×C4—62no—
539C22×C4—91no—
540C22×C4—92no—
541C22×C4—122no—
542C22×C4—122no—
543C22×C4—182no—
544C22×C4—362no—
545C4⋊C4—182no—
546C4⋊C4—362no—
547C22⋊C4—64no—
548C22⋊C4—64no—
549C22⋊C4—62no—
550C22⋊C4—62no—
551C22⋊C4—98no—
552C22⋊C4—94no—
553C22⋊C4—122no—
554C22⋊C4—122no—
555C22⋊C4—182no—
556C22⋊C4—362no—
557C42—182no—
558C42—362no—
559C22×C3—24no—
560C22×C3—24no—
561C22×C3—24no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—22no—
565C22×C3—22no—
566C22×C3—24no—
567C22×C3—28no—
568C22×C3—24no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—24no—
573C22×C3—24no—
574C22×C3—21no—
575C22×C3—21no—
576C22×C3—21no—
577C22×C3—22no—
578C22×C3—22no—
579C22×C3—24no—
580C22×C3—44no—
581C22×C3—44no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—44no—
585C22×C3—44no—
586C22×C3—416no—
587C22×C3—416no—
588C22×C3—44no—
589C22×C3—44no—
590C22×C3—44no—
591C22×C3—44no—
592C22×C3—432no—
593C22×C3—42no—
594C22×C3—42no—
595C22×C3—42no—
596C22×C3—42no—
597C22×C3—42no—
598C22×C3—42no—
599C22×C3—42no—
600C22×C3—42no—
601C22×C3#67⋊C414yes—
602C22×C3C4×#6714yes—
603C22×C3C22×C4×D311yescharacteristic
604C22×C3C22×C4×D311yescharacteristic
605C22×C3C2×#23511yescharacteristic
606C22×C3C2×D3×D411yescharacteristic
607C22×C3C2×#23711yescharacteristic
608C22×C3#100412yes—
609C22×C3#100412yes—
610C22×C3#100412yes—
611C22×C3#100412yes—
612C22×C3C22×#6711yescharacteristic
613C2×D3—62no—
614C2×D3—64no—
615C2×D3—64no—
616C2×D3—62no—
617C2×D3—122no—
618C2×D3—124no—
619C2×D3—122no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—122no—
625C2×D3—242no—
626C2×D3—241no—
627C2×D3—241no—
628C3×C4—62no—
629C3×C4—62no—
630C3×C4—122no—
631C3×C4—121no—
632C3×C4—121no—
633C3×C4—122no—
634Dic3—22no—
635Dic3—22no—
636Dic3—42no—
637Dic3—41no—
638Dic3—41no—
639Dic3—42no—
640Dic3—62no—
641Dic3—64no—
642Dic3—64no—
643Dic3—62no—
644Dic3—122no—
645Dic3—124no—
646C32#232111yescharacteristic, complemented, Sylow
647C23—22no—
648C23—22no—
649C23—22no—
650C23—22no—
651C23—22no—
652C23—22no—
653C23—22no—
654C23—22no—
655C23—28no—
656C23—48no—
657C23—48no—
658C23—44no—
659C23—44no—
660C23—92no—
661C23—181no—
662C23—181no—
663C23—182no—
664C23—182no—
665C23#380412yes—
666C23C2×#62414yes—
667C23C2×#62412yes—
668C23D3×#6712yes—
669C23C22×D3211yescharacteristic
670D4—188no—
671D4—368no—
672C2×C4—32no—
673C2×C4—32no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—61no—
678C2×C4—62no—
679C2×C4—61no—
680C2×C4—62no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—62no—
686C2×C4—92no—
687C2×C4—94no—
688C2×C4—124no—
689C2×C4—124no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—182no—
693C2×C4—182no—
694C2×C4—364no—
695C2×C3—24no—
696C2×C3—24no—
697C2×C3—21no—
698C2×C3—22no—
699C2×C3—22no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—44no—
703C2×C3—48no—
704C2×C3—44no—
705C2×C3—44no—
706C2×C3C2×#67⋊C411yescharacteristic
707C2×C3#548612yes—
708C2×C3#548612yes—
709C2×C3#549412yes—
710C2×C3#558911yescharacteristic
711C2×C3#559211yescharacteristic
712C2×C3#559312yes—
713C2×C3C2×C4×#6711yescharacteristic
714C2×C3#580411yescharacteristic
715C2×C3#580511yescharacteristic
716D3—122no—
717D3—122no—
718D3—242no—
719C22—24no—
720C22—24no—
721C22—22no—
722C22—22no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—416no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—182no—
732C22—184no—
733C22—362no—
734C22—361no—
735C22—361no—
736C22#6395214yes—
737C22C2×#380411yescharacteristic
738C22C22×#62411yescharacteristic
739C22C2×D3×#6711yescharacteristic
740C22#6433012yes—
741C22#6433012yes—
742C4—62no—
743C4—62no—
744C4—122no—
745C4—122no—
746C4—121no—
747C4—121no—
748C4—182no—
749C4—184no—
750C3—21no—
751C3#7382111yescharacteristic, complemented
752C3#8209611yescharacteristic, complemented
753C2—24no—
754C2—44no—
755C2—362no—
756C2C2×#6395211yescharacteristic
757C2#1059550712yes—
758C2#1059551012yes—
759C2#1059551311yescharacteristic
760C2#1059552411yescharacteristic
subgroupG/H
center, FrattiniC23C22×D32
commutatorC22×C32C23×C4
FittingC25×C32C22
socle, cosocleC23×C32C24
prime radicalC2×#64162C2
hypercenterC25D32
hypocenterC32#2321
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C25

Complements

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

NH ≅ G/Ntype
2. C22×C3×#217C2semidirect
3. C2×#63952C2semidirect
4. C3×#5247C2semidirect
5. #10591722C2semidirect
6. #10591711C2semidirect
7. #10591704C2semidirect
8. #10591703C2semidirect
9. #10591703C2semidirect
10. Dic3×#217C2semidirect
11. #10591693C2semidirect
19. C22×#624C22semidirect
20. #64162C4semidirect
30. C2×#3724C22semidirect
31. C2×#3724C22semidirect
32. C2×#3722C22semidirect
33. C2×#3722C22semidirect
34. C2×Dic32C22semidirect
35. C2×Dic32C22semidirect
37. #63579C22semidirect
38. #63579C22semidirect
39. #63579C22semidirect
44. C22×#217D3semidirect
48. #5247D3semidirect
67. C24×C32C2×C4semidirect
76. C2×#638C2×C4semidirect
82. C22×C3×Dic3D4semidirect
91. #3757C2×C4semidirect
92. #3757C2×C4semidirect
238. C24×C3C4×D3semidirect
239. C24×C3C4×D3semidirect
284. C22×Dic3#67semidirect
522. C24#624semidirect
646. C32#2321semidirect
751. C3#73821semidirect
752. C3#82096semidirect

Maximal subgroups

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

subgroupindex
C2×#641622
C22×C3×#2172
C2×#639522
C3×#52472
#105917222
#105917112
#105917042
#105917032
Dic3×#2172
#105916932
#820963
#738213