Finite Group Databasebeta

← #10975355

Subgroups — #10975355

Order 768.

2742 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5644C211yesmaximal, characteristic, complemented
2C22×#894C211yesmaximal, characteristic, complemented
3C3×#2502C211yesmaximal, characteristic, complemented
4#82819C211yesmaximal, characteristic, complemented
5#82180C211yesmaximal, characteristic, complemented
6#77788C214yesmaximal, complemented
7#77753C214yesmaximal, complemented
8#76539C214yesmaximal, complemented
9#74601C212yesmaximal, complemented
10#74406C212yesmaximal, complemented
11#74384C212yesmaximal, complemented
12#74379C212yesmaximal, complemented
13#74362C214yesmaximal, complemented
14#73597C211yesmaximal, characteristic, complemented
15#73560C211yesmaximal, characteristic, complemented
16#35394—31nomaximal, Sylow
17C23×D12C2211yescharacteristic
18C23×C4×D3C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C22×C3×C4⋊C4C2211yescharacteristic
21C2×#947C2212yescomplemented
22C2×#930C2211yescharacteristic
23C22×(C2×D3)⋊C4C2211yescharacteristic
24C22×(C2×D3)⋊C4C2211yescharacteristic
25C22×(C2×D3)⋊C4C2211yescharacteristic
26C22×Dic3⋊C4C2211yescharacteristic
27#5644—28no—
28C2×#898C2212yescomplemented
29C2×#895C2214yes—
30C2×#895C2212yescomplemented
31C2×#894—28no—
32C2×#894C2214yes—
33C2×#894C2214yes—
34C2×#894C2212yescomplemented
35C2×#893C2214yescomplemented
36C2×#886C2212yes—
37C2×#882C2212yes—
38C2×#882C2212yes—
39C2×#67⋊C4C2212yes—
40C2×D3×C22⋊C4C2212yes—
41C3×#398C2214yescomplemented
42C3×#391C2212yescomplemented
43C3×#385C2212yes—
44C3×#385C2212yes—
45C3×#384C2212yescomplemented
46C3×C4×C22⋊C4C2211yescharacteristic
47#5231C2212yescomplemented
48#5213C2212yes—
49#5213C2212yes—
50C4×#217C2211yescharacteristic
51#4992C2214yescomplemented
52#4992C2212yescomplemented
53#4991C2214yes—
54#4991C2214yescomplemented
55#4990C2214yescomplemented
56#4989C2214yescomplemented
57#4989C2214yescomplemented
58#4988C2212yescomplemented
59#4987C2214yescomplemented
60#4977C2212yescomplemented
61#4972C2214yescomplemented
62#4955C2212yes—
63#4943C2212yes—
64Dic3×C22⋊C4C2212yes—
65#4939C2214yescomplemented
66C4×(C2×D3)⋊C4C2214yescomplemented
67#4677C2212yescomplemented
68#4674C2214yescomplemented
69#4671C2214yes—
70#4671C2212yescomplemented
71#4669C2214yescomplemented
72#4666C2214yescomplemented
73#4666C2214yescomplemented
74#4665C2214yes—
75#4665C2214yescomplemented
76#4665C2214yescomplemented
77#4654C2214yescomplemented
78C2×#538—31no—
79C22×#123—31no—
80#2561—31no—
81#2557—34no—
82#2553—34no—
83#2539—31no—
84#2504—31no—
85#2502D311yescharacteristic, complemented
86#2464—34no—
87#2422—34no—
88#2412—32no—
89#2410—32no—
90#2322—32no—
91C4×#120—32no—
92#2273—31no—
93C24×D3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×Q8C2311yescharacteristic
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C22×#67C2312yes—
100C23×Dic3C2311yescharacteristic
101C23×Dic3C2311yescharacteristic
102C22×D12—24no—
103C22×D12—44no—
104C22×D12C2314yes—
105C22×D12C2314yes—
106C22×D12C2312yes—
107C22×D12C2311yescharacteristic
108C22×D12C2312yes—
109C22×C4×D3—24no—
110C22×C4×D3—44no—
111C22×C4×D3C2314yes—
112C22×C4×D3C2314yes—
113C22×C4×D3C2312yes—
114C3×C22⋊Q8—24no—
115C2×C3×C4⋊C4—24no—
116C2×C3×C4⋊C4C2312yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C4⋊C4C2314yes—
121C2×C3×C4⋊C4C2314yes—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C42C2312yes—
125C2×#217C2312yes—
126#947—28no—
127#930—24no—
128C2×(C2×D3)⋊C4—24no—
129C2×(C2×D3)⋊C4—24no—
130C2×(C2×D3)⋊C4D418yescomplemented
131C2×(C2×D3)⋊C4C2312yes—
132C2×(C2×D3)⋊C4C2314yes—
133C2×(C2×D3)⋊C4C2312yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2312yes—
142C2×(C2×D3)⋊C4C2314yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2314yes—
145C2×(C2×D3)⋊C4C2312yes—
146C2×(C2×D3)⋊C4C2312yes—
147C2×C4⋊Dic3C2314yes—
148C2×C4⋊Dic3C2311yescharacteristic
149C2×Dic3⋊C4—24no—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2312yes—
152C2×C4×Dic3C2312yes—
153C2×C4×Dic3C2314yes—
154C2×C4×Dic3C2312yes—
155#898—28no—
156#895—28no—
157#895—48no—
158#894—28no—
159#894—216no—
160#894—216no—
161#893—48no—
162#886—28no—
163#882—28no—
164#882—28no—
165#67⋊C4—28no—
166D3×C22⋊C4—28no—
167C3×#95C2314yes—
168C3×#95C2314yes—
169C3×#95C2312yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2312yes—
175C3⋊#95C2314yes—
176C23×D4—31no—
177C24×C4—31no—
178#538—68no—
179C2×#126—32no—
180C2×#124—32no—
181C2×#123—34no—
182C2×#123—34no—
183C2×#123—32no—
184C2×#123—32no—
185C2×#123—68no—
186C2×C22⋊Q8C2×D311yescharacteristic
187C2×#121—31no—
188C2×#121—32no—
189C2×#121—34no—
190C2×#120—32no—
191C2×#120—32no—
192C2×C4×D4—34no—
193C2×C4×D4—32no—
194C22×C4⋊C4—31no—
195C22×C4⋊C4C2×D311yescharacteristic
196C22×C22⋊C4—31no—
197C22×C22⋊C4—31no—
198C22×C22⋊C4—31no—
199C22×C22⋊C4—32no—
200#399—32no—
201#398C2×D314yescomplemented
202#397—32no—
203#397—34no—
204#397—34no—
205#394—34no—
206#394—34no—
207#393—32no—
208#392—34no—
209#392—32no—
210#391C2×D312yescomplemented
211#390—32no—
212#390—34no—
213#389—34no—
214#388—34no—
215#388—34no—
216#387—34no—
217#386—32no—
218#386—32no—
219#386—34no—
220#386—34no—
221#386—34no—
222#385—34no—
223#385—34no—
224#385C2×D312yes—
225#385C2×D312yes—
226#384C2×D312yescomplemented
227#382—32no—
228#381—32no—
229#380—34no—
230#379—32no—
231C4×C22⋊C4—31no—
232C4×C22⋊C4—32no—
233C4×C22⋊C4—34no—
234C4×C22⋊C4—34no—
235C4×C22⋊C4—34no—
236C4×C22⋊C4C2×D311yescharacteristic
237C24×C3C2411yescharacteristic
238C23×D3—22no—
239C23×D3—24no—
240C23×D3—24no—
241C23×D3—24no—
242C23×D3—42no—
243C23×D3—42no—
244C23×D3—42no—
245C23×D3C2×D414yes—
246C23×D3C2412yes—
247C23×D3C2412yes—
248C23×D3C2412yes—
249C2×C3×Q8—22no—
250C2×C3×Q8—42no—
251C22×C3×C4—22no—
252C22×C3×C4—22no—
253C22×C3×C4—42no—
254C22×C3×C4—42no—
255C22×C3×C4—42no—
256C22×C3×C4C2×D414yes—
257C22×C3×C4C2412yes—
258C22×C3×C4C2412yes—
259C22×C3×C4C2412yes—
260C22×C3×C4C2412yes—
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2411yescharacteristic
263C22×C3×C4C2414yes—
264C2×#67—24no—
265C2×#67—24no—
266C2×#67—24no—
267C22×Dic3—22no—
268C22×Dic3—24no—
269C22×Dic3—42no—
270C22×Dic3C2×D414yes—
271C22×Dic3C2414yes—
272C22×Dic3C2412yes—
273C22×Dic3C2412yes—
274C22×Dic3C2412yes—
275C2×D12—28no—
276C2×D12—28no—
277C2×D12—28no—
278C2×D12—28no—
279C2×D12—24no—
280C2×D12—24no—
281C2×D12—22no—
282C2×D12—44no—
283C2×D12—44no—
284C2×D12—416no—
285C2×D12—44no—
286C2×D12—42no—
287C2×D12—44no—
288C2×C4×D3—28no—
289C2×C4×D3—28no—
290C2×C4×D3—28no—
291C2×C4×D3—24no—
292C2×C4×D3—44no—
293C2×C4×D3—416no—
294C2×C4×D3—44no—
295C2×C4×D3—44no—
296C2×C4×D3—44no—
297C3×C4⋊C4—24no—
298C3×C4⋊C4—24no—
299C3×C4⋊C4—22no—
300C3×C4⋊C4—24no—
301C3×C4⋊C4—44no—
302C3×C4⋊C4—44no—
303C3×C22⋊C4—24no—
304C3×C22⋊C4#4118yes—
305C3×C42—42no—
306#217—24no—
307(C2×D3)⋊C4—24no—
308(C2×D3)⋊C4—24no—
309(C2×D3)⋊C4—28no—
310(C2×D3)⋊C4—28no—
311(C2×D3)⋊C4—24no—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—28no—
315(C2×D3)⋊C4—28no—
316(C2×D3)⋊C4—28no—
317(C2×D3)⋊C4—24no—
318(C2×D3)⋊C4—44no—
319(C2×D3)⋊C4—44no—
320(C2×D3)⋊C4—44no—
321(C2×D3)⋊C4C2×D418yes—
322(C2×D3)⋊C4C2×D418yes—
323C4⋊Dic3—22no—
324C4⋊Dic3—28no—
325Dic3⋊C4—24no—
326Dic3⋊C4—28no—
327C4×Dic3—24no—
328C4×Dic3—44no—
329C4×Dic3—42no—
330C25—31no—
331C25—31no—
332C22×Q8C22×D311yescharacteristic
333C22×D4—32no—
334C22×D4—34no—
335C22×D4—34no—
336C22×D4—32no—
337C22×D4—32no—
338C22×D4—31no—
339C22×D4—64no—
340C22×D4—124no—
341C23×C4—31no—
342C23×C4—31no—
343C23×C4—34no—
344C23×C4—34no—
345C23×C4—32no—
346C23×C4—64no—
347C23×C4—124no—
348C23×C4C22×D311yescharacteristic
349C23×C4C22×D311yescharacteristic
350C23×C4C22×D311yescharacteristic
351#126—68no—
352#124—68no—
353#123—616no—
354#123—616no—
355#123—68no—
356#123—68no—
357C22⋊Q8—24no—
358#121—68no—
359#121—64no—
360#121—128no—
361#120—68no—
362#120—68no—
363C4×D4—68no—
364C4×D4—128no—
365C2×C4⋊C4—24no—
366C2×C4⋊C4—34no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—64no—
371C2×C4⋊C4C22×D312yes—
372C2×C4⋊C4C22×D312yes—
373C2×C4⋊C4C22×D312yes—
374C2×C4⋊C4C22×D311yescharacteristic
375C2×C4⋊C4C22×D314yes—
376C2×C4⋊C4C22×D314yes—
377C2×C22⋊C4—38no—
378C2×C22⋊C4—32no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—34no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—34no—
393C2×C22⋊C4—34no—
394C2×C22⋊C4—34no—
395C2×C22⋊C4—64no—
396C2×C22⋊C4—64no—
397C2×C22⋊C4—68no—
398C2×C22⋊C4C22×D312yes—
399C2×C22⋊C4C22×D312yes—
400C2×C42—32no—
401C2×C42—34no—
402C2×C42—32no—
403C2×C42C22×D312yes—
404#95—34no—
405#95—32no—
406#95—34no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95C22×D312yes—
411#95C22×D314yes—
412#95C22×D314yes—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3C22×D412yes—
416C23×C3C2×#4114yes—
417C23×C3C2511yescharacteristic
418C22×D3—28no—
419C22×D3—22no—
420C22×D3—22no—
421C22×D3—24no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—24no—
425C22×D3—24no—
426C22×D3—24no—
427C22×D3—28no—
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—22no—
431C22×D3—24no—
432C22×D3—24no—
433C22×D3—44no—
434C22×D3—44no—
435C22×D3—416no—
436C22×D3—44no—
437C22×D3—44no—
438C22×D3—88no—
439C22×D3C22×D414yes—
440C22×D3H(5,𝔽2)14yes—
441C3×Q8—82no—
442C2×C3×C4—24no—
443C2×C3×C4—22no—
444C2×C3×C4—24no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4—24no—
453C2×C3×C4—24no—
454C2×C3×C4—44no—
455C2×C3×C4—44no—
456C2×C3×C4—44no—
457C2×C3×C4C22×D412yes—
458C2×C3×C4C22×D412yes—
459C2×C3×C4C2×#4118yes—
460#67—48no—
461C2×Dic3—24no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—24no—
466C2×Dic3—22no—
467C2×Dic3—24no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—44no—
471C2×Dic3—44no—
472C2×Dic3C22×D414yes—
473D12—416no—
474D12—416no—
475D12—82no—
476D12—84no—
477D12—84no—
478C4×D3—416no—
479C4×D3—84no—
480C4×D3—88no—
481C24—32no—
482C24—32no—
483C24—34no—
484C24—32no—
485C24—64no—
486C24—62no—
487C24—64no—
488C24—64no—
489C24—122no—
490C24—122no—
491C24—122no—
492C24C23×D311yescharacteristic
493C2×Q8—22no—
494C2×Q8—42no—
495C2×D4—68no—
496C2×D4—68no—
497C2×D4—68no—
498C2×D4—64no—
499C2×D4—64no—
500C2×D4—64no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—62no—
504C2×D4—68no—
505C2×D4—124no—
506C2×D4—124no—
507C2×D4—124no—
508C2×D4—122no—
509C2×D4—124no—
510C2×D4—1216no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—32no—
514C22×C4—34no—
515C22×C4—34no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—68no—
522C22×C4—64no—
523C22×C4—68no—
524C22×C4—62no—
525C22×C4—64no—
526C22×C4—68no—
527C22×C4—124no—
528C22×C4—124no—
529C22×C4—124no—
530C22×C4—124no—
531C22×C4—1216no—
532C22×C4—122no—
533C22×C4D3×D414yes—
534C22×C4C23×D312yes—
535C22×C4C23×D312yes—
536C22×C4C23×D312yes—
537C22×C4C23×D312yes—
538C22×C4C23×D311yescharacteristic
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D314yes—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—68no—
548C4⋊C4—64no—
549C4⋊C4—62no—
550C4⋊C4—68no—
551C22⋊C4—24no—
552C22⋊C4—38no—
553C22⋊C4—38no—
554C22⋊C4—64no—
555C22⋊C4—68no—
556C22⋊C4—68no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—68no—
564C22⋊C4—68no—
565C22⋊C4—68no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C22⋊C4—124no—
569C22⋊C4#23918yes—
570C42—42no—
571C42—64no—
572C42—124no—
573C42—122no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—28no—
577C22×C3#53214yes—
578C22×C3C23×D411yescharacteristic
579C22×C3C22×#4112yes—
580C22×C3C2×H(5,𝔽2)12yes—
581C22×C3#58512yes—
582C2×D3—24no—
583C2×D3—24no—
584C2×D3—24no—
585C2×D3—24no—
586C2×D3—28no—
587C2×D3—416no—
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—44no—
591C2×D3—44no—
592C2×D3—44no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—42no—
596C2×D3—44no—
597C2×D3—44no—
598C2×D3—88no—
599C3×C4—22no—
600C3×C4—22no—
601C3×C4—28no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—42no—
605C3×C4—42no—
606Dic3—24no—
607Dic3—42no—
608Dic3—42no—
609Dic3—44no—
610C23—22no—
611C23—22no—
612C23—34no—
613C23—34no—
614C23—68no—
615C23—62no—
616C23—62no—
617C23—64no—
618C23—62no—
619C23—64no—
620C23—64no—
621C23—62no—
622C23—64no—
623C23—68no—
624C23—62no—
625C23—62no—
626C23—62no—
627C23—64no—
628C23—64no—
629C23—124no—
630C23—124no—
631C23—1216no—
632C23—124no—
633C23—124no—
634C23—248no—
635C23C2×D3×D412yes—
636C23C2×#23914yes—
637C23C24×D311yescharacteristic
638Q8—82no—
639D4—1216no—
640D4—1216no—
641D4—128no—
642D4—242no—
643D4—244no—
644D4—244no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—34no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—64no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—62no—
666C2×C4—64no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—1216no—
671C2×C4—124no—
672C2×C4—124no—
673C2×C4—248no—
674C2×C4—244no—
675C2×C4C2×D3×D412yes—
676C2×C4C2×D3×D412yes—
677C2×C4C2×#23918yes—
678C2×C3—24no—
679C2×C3C2×#53211yescharacteristic
680C2×C3#348411yescharacteristic
681C2×C3#348511yescharacteristic
682C2×C3#351314yes—
683D3—44no—
684D3—44no—
685D3—82no—
686C22—22no—
687C22—28no—
688C22—22no—
689C22—64no—
690C22—64no—
691C22—68no—
692C22—64no—
693C22—64no—
694C22—1216no—
695C22—124no—
696C22—124no—
697C22—124no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22—124no—
702C22—124no—
703C22—122no—
704C22—122no—
705C22—248no—
706C22#572514yes—
707C22C22×D3×D411yescharacteristic
708C22C22×#23912yes—
709C22#596412yes—
710C22D3×H(5,𝔽2)12yes—
711C4—28no—
712C4—22no—
713C4—22no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—64no—
719C4—124no—
720C4—122no—
721C4—122no—
722C3#3539411yescharacteristic, complemented, Sylow
723C2—24no—
724C2—124no—
725C2—124no—
726C2—242no—
727C2#8601211yescharacteristic
728C2C2×#572511yescharacteristic
729C2#8633011yescharacteristic
730C2#8692914yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2502C2
hypercenter#2502D3
hypocenterC3#35394
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2502

Complements

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

NH ≅ G/Ntype
1. C2×#5644C2semidirect
2. C22×#894C2semidirect
3. C3×#2502C2semidirect
4. #82819C2semidirect
5. #82180C2semidirect
6. #77788C2semidirect
7. #77753C2semidirect
8. #76539C2semidirect
9. #74601C2semidirect
10. #74406C2semidirect
11. #74384C2semidirect
12. #74379C2semidirect
13. #74362C2semidirect
14. #73597C2semidirect
15. #73560C2semidirect
21. C2×#947C22semidirect
28. C2×#898C22semidirect
30. C2×#895C22semidirect
34. C2×#894C22semidirect
35. C2×#893C22semidirect
41. C3×#398C22semidirect
42. C3×#391C22semidirect
45. C3×#384C22semidirect
47. #5231C22semidirect
51. #4992C22semidirect
52. #4992C22semidirect
54. #4991C22semidirect
55. #4990C22semidirect
56. #4989C22semidirect
57. #4989C22semidirect
58. #4988C22semidirect
59. #4987C22semidirect
60. #4977C22semidirect
61. #4972C22semidirect
65. #4939C22semidirect
66. C4×(C2×D3)⋊C4C22semidirect
67. #4677C22semidirect
68. #4674C22semidirect
70. #4671C22semidirect
71. #4669C22semidirect
72. #4666C22semidirect
73. #4666C22semidirect
75. #4665C22semidirect
76. #4665C22semidirect
77. #4654C22semidirect
85. #2502D3semidirect
130. C2×(C2×D3)⋊C4D4semidirect
201. #398C2×D3semidirect
210. #391C2×D3semidirect
226. #384C2×D3semidirect
722. C3#35394semidirect

Maximal subgroups

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

subgroupindex
C2×#56442
C22×#8942
C3×#25022
#828192
#821802
#777882
#777532
#765392
#746012
#744062
#743842
#743792
#743622
#735972
#735602
#353943