Finite Group Databasebeta

← #11024914

Subgroups — #11024914

Order 768.

3312 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5697C211yesmaximal, characteristic, complemented
2C22×#874C211yesmaximal, characteristic, complemented
3C3×#2851C211yesmaximal, characteristic, complemented
4#83067C211yesmaximal, characteristic, complemented
5#82065C211yesmaximal, characteristic, complemented
6#76220C212yesmaximal, complemented
7#76004C212yesmaximal, complemented
8#75397C214yesmaximal, complemented
9#75387C214yesmaximal, complemented
10#74601C214yesmaximal, complemented
11#74599C214yesmaximal, complemented
12#74244C211yesmaximal, characteristic, complemented
13#74153C211yesmaximal, characteristic, complemented
14#74016C212yesmaximal, complemented
15#74007C212yesmaximal, complemented
16#37694—31nomaximal, Sylow
17C23×D12C2212yes—
18C23×D12C2214yes—
19C2×C3×#125C2211yescharacteristic, complemented
20C22×C3×C42C2211yescharacteristic
21C2×C4×#67C2211yescharacteristic
22#5697—28no—
23C2×#895C2212yescomplemented
24C2×#895C2214yescomplemented
25C2×#895C2212yescomplemented
26C2×#895C2214yescomplemented
27C2×#894C2214yescomplemented
28C2×#894C2214yescomplemented
29C2×#893C2212yescomplemented
30C2×#893C2212yescomplemented
31C2×#882C2214yes—
32C2×D3×C22⋊C4C2214yes—
33C2×#874—28no—
34C2×#874C2211yescharacteristic
35C2×#874C2214yes—
36C2×#874C2212yes—
37C2×#874C2211yescharacteristic
38C2×#872C2211yescharacteristic, complemented
39C3×#389C2212yescomplemented
40C3×#387C2214yescomplemented
41C3×#385C2214yes—
42C3×#382C2211yescharacteristic, complemented
43C3×#380C2212yes—
44#5213C2212yes—
45#5210C2212yes—
46C4×#217C2211yescharacteristic
47#4991C2214yescomplemented
48#4991C2214yescomplemented
49#4991C2214yescomplemented
50#4991C2214yescomplemented
51#4988C2212yescomplemented
52#4988C2212yescomplemented
53#4988C2212yescomplemented
54#4988C2212yescomplemented
55#4955C2214yes—
56#4955C2214yes—
57#4940C2212yescomplemented
58C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
59#4933C2212yescomplemented
60#4932C2211yescharacteristic, complemented
61C4×Dic3⋊C4C2211yescharacteristic, complemented
62#4672C2214yescomplemented
63#4672C2214yescomplemented
64#4672C2214yescomplemented
65#4671C2214yescomplemented
66#4671C2214yescomplemented
67#4671C2214yescomplemented
68#4665C2214yescomplemented
69#4665C2214yescomplemented
70#4665C2214yescomplemented
71#4665C2214yescomplemented
72#4665C2214yescomplemented
73#4665C2214yescomplemented
74C2×#540—31no—
75C22×#127—31no—
76#2851D311yescharacteristic, complemented
77#2709—34no—
78#2673—34no—
79#2641—31no—
80#2619—31no—
81#2445—32no—
82#2428—32no—
83#2410—34no—
84#2408—32no—
85#2405—34no—
86D4×C22⋊C4—32no—
87#2328—31no—
88#2290—31no—
89C24×D3C2314yes—
90C23×C3×C4C2312yes—
91C23×C3×C4C2311yescharacteristic
92C22×#67C2311yescharacteristic
93C22×D12—28no—
94C22×D12—28no—
95C22×D12—216no—
96C22×D12—44no—
97C22×D12—48no—
98C22×D12—48no—
99C22×D12C2312yes—
100C22×D12C2314yes—
101C22×D12C2314yes—
102C22×D12C2314yes—
103C22×D12C2312yes—
104C22×D12C2314yes—
105C22×D12C2314yes—
106C22×D12C2314yes—
107C22×D12C2314yes—
108C22×C4×D3C2311yescharacteristic
109C22×C4×D3C2314yes—
110C22×C4×D3C2314yes—
111C3×#125—24no—
112C2×C3×C4⋊C4C2312yes—
113C2×C3×C4⋊C4C2312yes—
114C2×C3×C4⋊C4C2314yes—
115C2×C3×C4⋊C4C2314yes—
116C2×C3×C22⋊C4C2314yes—
117C2×C3×C42—24no—
118C2×C3×C42C2311yescharacteristic
119C2×C3×C42C2312yes—
120C2×C3×C42C2311yescharacteristic
121C2×#217C2312yes—
122C2×#217C2311yescharacteristic
123C4×#67—24no—
124C2×(C2×D3)⋊C4C2314yes—
125C2×(C2×D3)⋊C4C2314yes—
126C2×(C2×D3)⋊C4C2311yescharacteristic
127C2×(C2×D3)⋊C4C2312yes—
128C2×(C2×D3)⋊C4C2312yes—
129C2×(C2×D3)⋊C4C2314yes—
130C2×(C2×D3)⋊C4C2314yes—
131C2×(C2×D3)⋊C4C2314yes—
132C2×(C2×D3)⋊C4C2314yes—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2314yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×Dic3⋊C4C2311yescharacteristic
140C2×Dic3⋊C4C2312yes—
141C2×Dic3⋊C4C2312yes—
142C2×C4×Dic3C2311yescharacteristic
143C2×C4×Dic3C2311yescharacteristic
144C2×C4×Dic3C2311yescharacteristic
145#895—216no—
146#895—28no—
147#895—48no—
148#895—44no—
149#894—216no—
150#894—48no—
151#893—28no—
152#893—44no—
153#882—48no—
154D3×C22⋊C4—48no—
155#874—28no—
156#874—216no—
157#874—24no—
158#874D418yescomplemented
159#872—24no—
160C3×#95C2314yes—
161C3×#95C2314yes—
162C3×#95C2314yes—
163C3⋊#95C2312yes—
164C3⋊#95C2312yes—
165C3⋊#95C2312yes—
166C3⋊#95C2312yes—
167C3⋊#95C2312yes—
168C23×D4—32no—
169C23×D4—34no—
170#540—68no—
171C2×#127—31no—
172C2×#127—31no—
173C2×#127—34no—
174C2×#127—32no—
175C2×#127—68no—
176C2×#125C2×D311yescharacteristic, complemented
177C2×#123—34no—
178C2×#123—34no—
179C2×#121—32no—
180C2×#121—34no—
181C2×#121—32no—
182C2×#121—34no—
183C2×#120—34no—
184C2×C4×D4—31no—
185C2×C4×D4—32no—
186C2×C4×D4—32no—
187C2×#117—31no—
188C22×C22⋊C4—34no—
189C22×C42C2×D311yescharacteristic
190#394—34no—
191#394—34no—
192#394—34no—
193#394—34no—
194#394—34no—
195#394—34no—
196#394—34no—
197#392—34no—
198#392—34no—
199#392—34no—
200#390—32no—
201#390—32no—
202#390—32no—
203#390—32no—
204#389C2×D312yescomplemented
205#388—32no—
206#387—32no—
207#387C2×D314yescomplemented
208#386—32no—
209#386—34no—
210#386—34no—
211#386—34no—
212#386—34no—
213#386—34no—
214#386—34no—
215#385—32no—
216#385C2×D314yes—
217#382C2×D311yescharacteristic, complemented
218#380C2×D312yes—
219#379—34no—
220#379—34no—
221C4×C4⋊C4—31no—
222C4×C22⋊C4—31no—
223C4×C22⋊C4—31no—
224#376—31no—
225C24×C3C2411yescharacteristic
226C23×D3—28no—
227C23×D3—28no—
228C23×D3—28no—
229C23×D3—28no—
230C23×D3—44no—
231C23×D3—44no—
232C23×D3—44no—
233C23×D3C2414yes—
234C23×D3C2411yescharacteristic
235C23×D3C2414yes—
236C22×C3×C4—24no—
237C22×C3×C4—24no—
238C22×C3×C4—22no—
239C22×C3×C4—24no—
240C22×C3×C4—22no—
241C22×C3×C4#4114yes—
242C22×C3×C4C2414yes—
243C22×C3×C4C2414yes—
244C22×C3×C4C2412yes—
245C22×C3×C4C2411yescharacteristic
246C22×C3×C4C2412yes—
247C22×C3×C4C2411yescharacteristic
248C2×#67—22no—
249C2×#67—24no—
250C22×Dic3C2411yescharacteristic
251C22×Dic3C2412yes—
252C22×Dic3C2411yescharacteristic
253C22×Dic3C2412yes—
254C22×Dic3C2411yescharacteristic
255C2×D12—24no—
256C2×D12—24no—
257C2×D12—28no—
258C2×D12—28no—
259C2×D12—28no—
260C2×D12—28no—
261C2×D12—24no—
262C2×D12—28no—
263C2×D12—24no—
264C2×D12—28no—
265C2×D12—28no—
266C2×D12—24no—
267C2×D12—28no—
268C2×D12—432no—
269C2×D12—44no—
270C2×D12—44no—
271C2×D12—44no—
272C2×D12—44no—
273C2×D12—44no—
274C2×D12—44no—
275C2×D12—44no—
276C2×D12—464no—
277C2×D12—44no—
278C2×D12—44no—
279C2×D12—44no—
280C2×D12—44no—
281C2×D12—44no—
282C2×D12C2×D418yes—
283C2×D12C2×D4116yes—
284C2×C4×D3—22no—
285C2×C4×D3—22no—
286C2×C4×D3—22no—
287C2×C4×D3—28no—
288C2×C4×D3—44no—
289C2×C4×D3—44no—
290C2×C4×D3—44no—
291C2×C4×D3—44no—
292C2×C4×D3—44no—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—28no—
295C3×C4⋊C4—24no—
296C3×C4⋊C4—28no—
297C3×C22⋊C4—28no—
298C3×C42—24no—
299C3×C42—22no—
300C3×C42C2×D414yes—
301#217—22no—
302#217—24no—
303(C2×D3)⋊C4—28no—
304(C2×D3)⋊C4—28no—
305(C2×D3)⋊C4—24no—
306(C2×D3)⋊C4—22no—
307(C2×D3)⋊C4—24no—
308(C2×D3)⋊C4—44no—
309(C2×D3)⋊C4—44no—
310(C2×D3)⋊C4—44no—
311(C2×D3)⋊C4—44no—
312(C2×D3)⋊C4—44no—
313(C2×D3)⋊C4—44no—
314(C2×D3)⋊C4—44no—
315(C2×D3)⋊C4—44no—
316(C2×D3)⋊C4—44no—
317(C2×D3)⋊C4—44no—
318Dic3⋊C4—24no—
319Dic3⋊C4—22no—
320Dic3⋊C4—24no—
321C4×Dic3—22no—
322C4×Dic3—22no—
323C4×Dic3—22no—
324C25—34no—
325C22×D4—31no—
326C22×D4—32no—
327C22×D4—34no—
328C22×D4—32no—
329C22×D4—34no—
330C22×D4—34no—
331C22×D4—34no—
332C22×D4—34no—
333C22×D4—34no—
334C22×D4—34no—
335C22×D4—68no—
336C22×D4—616no—
337C22×D4—68no—
338C22×D4—124no—
339C22×D4—128no—
340C22×D4—128no—
341C23×C4—31no—
342C23×C4—34no—
343C23×C4—34no—
344C23×C4C22×D312yes—
345C23×C4C22×D311yescharacteristic
346#127—38no—
347#127—68no—
348#127—616no—
349#127—64no—
350#125—24no—
351#123—616no—
352#123—128no—
353#121—616no—
354#121—68no—
355#121—128no—
356#121—124no—
357#120—128no—
358C4×D4—68no—
359C4×D4—64no—
360C4×D4—124no—
361#117—64no—
362C2×C4⋊C4—32no—
363C2×C4⋊C4—31no—
364C2×C4⋊C4—32no—
365C2×C4⋊C4C22×D312yes—
366C2×C4⋊C4C22×D312yes—
367C2×C4⋊C4C22×D314yes—
368C2×C4⋊C4C22×D314yes—
369C2×C22⋊C4—32no—
370C2×C22⋊C4—31no—
371C2×C22⋊C4—32no—
372C2×C22⋊C4—34no—
373C2×C22⋊C4—31no—
374C2×C22⋊C4—32no—
375C2×C22⋊C4—34no—
376C2×C22⋊C4—34no—
377C2×C22⋊C4—34no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—34no—
380C2×C22⋊C4—34no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—34no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—34no—
386C2×C22⋊C4—128no—
387C2×C22⋊C4C22×D314yes—
388C2×C42—24no—
389C2×C42—31no—
390C2×C42—31no—
391C2×C42—31no—
392C2×C42C22×D311yescharacteristic
393C2×C42C22×D312yes—
394C2×C42C22×D311yescharacteristic
395#95—32no—
396#95—32no—
397#95—32no—
398#95—32no—
399#95—32no—
400#95C22×D314yes—
401#95C22×D314yes—
402#95C22×D314yes—
403C23×C3—21no—
404C23×C3—21no—
405C23×C3—22no—
406C23×C3C2×#4112yes—
407C23×C3H(5,𝔽2)14yes—
408C23×C3C2511yescharacteristic
409C22×D3—24no—
410C22×D3—24no—
411C22×D3—24no—
412C22×D3—24no—
413C22×D3—24no—
414C22×D3—24no—
415C22×D3—21no—
416C22×D3—24no—
417C22×D3—21no—
418C22×D3—24no—
419C22×D3—22no—
420C22×D3—24no—
421C22×D3—24no—
422C22×D3—24no—
423C22×D3—24no—
424C22×D3—24no—
425C22×D3—21no—
426C22×D3—22no—
427C22×D3—416no—
428C22×D3—416no—
429C22×D3—416no—
430C22×D3—416no—
431C22×D3—88no—
432C22×D3—88no—
433C22×D3—88no—
434C22×D3C22×D418yes—
435C2×C3×C4—216no—
436C2×C3×C4—21no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—28no—
443C2×C3×C4—24no—
444C2×C3×C4—24no—
445C2×C3×C4—24no—
446C2×C3×C4—24no—
447C2×C3×C4—24no—
448C2×C3×C4—24no—
449C2×C3×C4C22×D414yes—
450C2×C3×C4C22×D412yes—
451C2×C3×C4C2×#4112yes—
452C2×C3×C4C2×#4112yes—
453C2×C3×C4H(5,𝔽2)14yes—
454C2×C3×C4H(5,𝔽2)12yes—
455#67—44no—
456C2×Dic3—22no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—21no—
460C2×Dic3—21no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—21no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469D12—216no—
470D12—416no—
471D12—416no—
472D12—416no—
473D12—416no—
474D12—416no—
475D12—48no—
476D12—88no—
477D12—88no—
478C4×D3—44no—
479C4×D3—88no—
480C4×D3—88no—
481C24—34no—
482C24—34no—
483C24—31no—
484C24—68no—
485C24—68no—
486C24—68no—
487C24—68no—
488C24—124no—
489C24—124no—
490C24—124no—
491C24C23×D311yescharacteristic
492C2×D4—38no—
493C2×D4—316no—
494C2×D4—68no—
495C2×D4—68no—
496C2×D4—68no—
497C2×D4—68no—
498C2×D4—62no—
499C2×D4—64no—
500C2×D4—68no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—68no—
504C2×D4—64no—
505C2×D4—64no—
506C2×D4—68no—
507C2×D4—64no—
508C2×D4—68no—
509C2×D4—1232no—
510C2×D4—124no—
511C2×D4—124no—
512C2×D4—124no—
513C2×D4—124no—
514C2×D4—124no—
515C2×D4—124no—
516C2×D4—124no—
517C2×D4—1264no—
518C2×D4—124no—
519C2×D4—124no—
520C2×D4—124no—
521C2×D4—124no—
522C2×D4—124no—
523C22×C4—24no—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—31no—
529C22×C4—32no—
530C22×C4—31no—
531C22×C4—32no—
532C22×C4—31no—
533C22×C4—68no—
534C22×C4—62no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—124no—
538C22×C4—124no—
539C22×C4—124no—
540C22×C4—124no—
541C22×C4—124no—
542C22×C4#23914yes—
543C22×C4C23×D314yes—
544C22×C4C23×D314yes—
545C22×C4C23×D312yes—
546C22×C4C23×D311yescharacteristic
547C22×C4C23×D312yes—
548C22×C4C23×D311yescharacteristic
549C4⋊C4—24no—
550C4⋊C4—28no—
551C4⋊C4—24no—
552C4⋊C4—28no—
553C4⋊C4—64no—
554C4⋊C4—62no—
555C4⋊C4—64no—
556C22⋊C4—28no—
557C22⋊C4—68no—
558C22⋊C4—68no—
559C22⋊C4—62no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—62no—
563C22⋊C4—64no—
564C22⋊C4—124no—
565C22⋊C4—124no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C22⋊C4—124no—
569C22⋊C4—124no—
570C22⋊C4—124no—
571C22⋊C4—124no—
572C22⋊C4—124no—
573C22⋊C4—124no—
574C42—24no—
575C42—22no—
576C42—62no—
577C42—62no—
578C42—62no—
579C42D3×D414yes—
580C22×C3—22no—
581C22×C3—24no—
582C22×C3—22no—
583C22×C3—24no—
584C22×C3#54014yescomplemented
585C22×C3C23×D411yescharacteristic
586C22×C3C22×#4111yescharacteristic
587C22×C3C2×H(5,𝔽2)12yes—
588C22×C3C2×H(5,𝔽2)11yescharacteristic
589C22×C3C2×H(5,𝔽2)12yes—
590C2×D3—28no—
591C2×D3—28no—
592C2×D3—28no—
593C2×D3—44no—
594C2×D3—44no—
595C2×D3—44no—
596C2×D3—44no—
597C2×D3—41no—
598C2×D3—44no—
599C2×D3—41no—
600C2×D3—44no—
601C2×D3—44no—
602C2×D3—44no—
603C2×D3—42no—
604C2×D3—41no—
605C2×D3—44no—
606C2×D3—42no—
607C2×D3—44no—
608C2×D3—44no—
609C2×D3—832no—
610C3×C4—22no—
611C3×C4—24no—
612C3×C4—24no—
613C3×C4—44no—
614C3×C4—44no—
615C3×C4#54614yes—
616Dic3—41no—
617Dic3—41no—
618Dic3—42no—
619Dic3—41no—
620Dic3—42no—
621C23—21no—
622C23—22no—
623C23—21no—
624C23—38no—
625C23—64no—
626C23—64no—
627C23—64no—
628C23—64no—
629C23—64no—
630C23—64no—
631C23—61no—
632C23—64no—
633C23—61no—
634C23—64no—
635C23—62no—
636C23—64no—
637C23—64no—
638C23—64no—
639C23—64no—
640C23—64no—
641C23—61no—
642C23—62no—
643C23—1216no—
644C23—1216no—
645C23—1216no—
646C23—1216no—
647C23—248no—
648C23—248no—
649C23—248no—
650C23C2×#23912yes—
651C23#100914yes—
652C23C24×D311yescharacteristic
653D4—616no—
654D4—1216no—
655D4—1216no—
656D4—1216no—
657D4—1216no—
658D4—1216no—
659D4—124no—
660D4—128no—
661D4—248no—
662D4—248no—
663C2×C4—216no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—28no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—62no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—62no—
686C2×C4—62no—
687C2×C4—61no—
688C2×C4—62no—
689C2×C4—62no—
690C2×C4—124no—
691C2×C4—248no—
692C2×C4—248no—
693C2×C4C2×D3×D414yes—
694C2×C4C2×D3×D412yes—
695C2×C4C2×#23912yes—
696C2×C4C2×#23912yes—
697C2×C4#100914yes—
698C2×C4#100912yes—
699C2×C3—24no—
700C2×C3C2×#54011yescharacteristic
701C2×C3C2×#54611yescharacteristic
702C2×C3#348412yes—
703C2×C3#350811yescharacteristic
704C2×C3#354312yes—
705D3—48no—
706D3—81no—
707D3—84no—
708C22—24no—
709C22—24no—
710C22—22no—
711C22—22no—
712C22—68no—
713C22—68no—
714C22—68no—
715C22—124no—
716C22—124no—
717C22—124no—
718C22—124no—
719C22—124no—
720C22—124no—
721C22—122no—
722C22—121no—
723C22—124no—
724C22—122no—
725C22—124no—
726C22—124no—
727C22—121no—
728C22—124no—
729C22—124no—
730C22—121no—
731C22—2432no—
732C22#569714yescomplemented
733C22C22×D3×D411yescharacteristic
734C22C22×#23911yescharacteristic
735C22C2×#100912yes—
736C22C2×#100912yes—
737C22C2×#100911yescharacteristic
738C4—24no—
739C4—24no—
740C4—22no—
741C4—44no—
742C4—44no—
743C4—122no—
744C4—121no—
745C4—122no—
746C4—121no—
747C4—121no—
748C4#563014yes—
749C3#3769411yescharacteristic, complemented, Sylow
750C2—24no—
751C2—128no—
752C2—244no—
753C2—241no—
754C2C2×#563011yescharacteristic
755C2#8603912yes—
756C2C2×#569711yescharacteristic
757C2#8617212yes—
758C2#8626111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2851C2
hypercenter#2851D3
hypocenterC3#37694
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2851

Complements

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

NH ≅ G/Ntype
1. C2×#5697C2semidirect
2. C22×#874C2semidirect
3. C3×#2851C2semidirect
4. #83067C2semidirect
5. #82065C2semidirect
6. #76220C2semidirect
7. #76004C2semidirect
8. #75397C2semidirect
9. #75387C2semidirect
10. #74601C2semidirect
11. #74599C2semidirect
12. #74244C2semidirect
13. #74153C2semidirect
14. #74016C2semidirect
15. #74007C2semidirect
19. C2×C3×#125C22semidirect
23. C2×#895C22semidirect
24. C2×#895C22semidirect
25. C2×#895C22semidirect
26. C2×#895C22semidirect
27. C2×#894C22semidirect
28. C2×#894C22semidirect
29. C2×#893C22semidirect
30. C2×#893C22semidirect
38. C2×#872C22semidirect
39. C3×#389C22semidirect
40. C3×#387C22semidirect
42. C3×#382C22semidirect
47. #4991C22semidirect
48. #4991C22semidirect
49. #4991C22semidirect
50. #4991C22semidirect
51. #4988C22semidirect
52. #4988C22semidirect
53. #4988C22semidirect
54. #4988C22semidirect
57. #4940C22semidirect
58. C4×(C2×D3)⋊C4C22semidirect
59. #4933C22semidirect
60. #4932C22semidirect
61. C4×Dic3⋊C4C22semidirect
62. #4672C22semidirect
63. #4672C22semidirect
64. #4672C22semidirect
65. #4671C22semidirect
66. #4671C22semidirect
67. #4671C22semidirect
68. #4665C22semidirect
69. #4665C22semidirect
70. #4665C22semidirect
71. #4665C22semidirect
72. #4665C22semidirect
73. #4665C22semidirect
76. #2851D3semidirect
158. #874D4semidirect
176. C2×#125C2×D3semidirect
204. #389C2×D3semidirect
207. #387C2×D3semidirect
217. #382C2×D3semidirect
584. C22×C3#540semidirect
732. C22#5697semidirect
749. C3#37694semidirect

Maximal subgroups

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

subgroupindex
C2×#56972
C22×#8742
C3×#28512
#830672
#820652
#762202
#760042
#753972
#753872
#746012
#745992
#742442
#741532
#740162
#740072
#376943