Finite Group Databasebeta

← #10975350

Subgroups — #10975350

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×#886C211yesmaximal, characteristic, complemented
3C3×#2561C211yesmaximal, characteristic, complemented
4#82775C211yesmaximal, characteristic, complemented
5#82115C211yesmaximal, characteristic, complemented
6#77465C214yesmaximal, complemented
7#76797C214yesmaximal, complemented
8#75858C214yesmaximal, complemented
9#75594C214yesmaximal, complemented
10#74126C212yesmaximal, complemented
11#74056C212yesmaximal, complemented
12#73854C212yesmaximal, complemented
13#73818C212yesmaximal, complemented
14#73560C211yesmaximal, characteristic, complemented
15#73519C211yesmaximal, characteristic, complemented
16#35394—31nomaximal, Sylow
17C23×#67C2211yescharacteristic
18C24×Dic3C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C22×C3×C22⋊C4C2211yescharacteristic
21C2×#953C2212yes—
22C2×#947C2212yescomplemented
23C2×#930C2211yescharacteristic
24C2×#929C2212yes—
25C22×(C2×D3)⋊C4C2211yescharacteristic
26C22×(C2×D3)⋊C4C2211yescharacteristic
27C22×C4⋊Dic3C2211yescharacteristic
28C22×C4⋊Dic3C2211yescharacteristic
29#5644—28no—
30C2×#898C2212yescomplemented
31C2×#895C2212yescomplemented
32C2×#894C2212yescomplemented
33C2×#886—28no—
34C2×#886C2214yes—
35C2×#886C2214yes—
36C2×#884C2214yes—
37C2×#882C2212yes—
38C2×#67⋊C4C2212yes—
39C2×#67⋊C4C2214yescomplemented
40C2×D3×C22⋊C4C2212yes—
41C3×#397C2212yescomplemented
42C3×#393C2212yescomplemented
43C3×#388C2214yescomplemented
44C3×#381C2212yes—
45C3×#379C2212yes—
46C3×C4×C22⋊C4C2211yescharacteristic
47#5229C2212yescomplemented
48C4×#217C2211yescharacteristic
49#4981C2214yescomplemented
50#4975C2212yescomplemented
51#4960C2214yes—
52#4960C2212yescomplemented
53#4959C2214yes—
54#4958C2212yes—
55#4958C2212yes—
56#4958C2214yescomplemented
57#4957C2214yescomplemented
58#4956C2214yes—
59#4949C2212yescomplemented
60#4946C2212yes—
61#4946C2212yes—
62#4946C2214yescomplemented
63Dic3×C22⋊C4C2212yes—
64Dic3×C22⋊C4C2214yescomplemented
65#4939C2212yescomplemented
66C4×(C2×D3)⋊C4C2214yescomplemented
67#4936C2212yescomplemented
68#4675C2214yescomplemented
69#4674C2214yescomplemented
70#4672C2214yescomplemented
71#4670C2214yescomplemented
72#4668C2214yescomplemented
73#4667C2214yescomplemented
74#4666C2214yescomplemented
75#4665C2214yescomplemented
76#4655C2214yescomplemented
77#4647C2214yescomplemented
78C2×#538—31no—
79C22×#123—31no—
80#2561D311yescharacteristic, complemented
81#2557—34no—
82#2553—34no—
83#2539—31no—
84#2504—31no—
85#2502—31no—
86#2464—34no—
87#2422—34no—
88#2412—32no—
89#2410—32no—
90#2322—32no—
91C4×#120—32no—
92#2273—31no—
93C25×C3C2311yescharacteristic
94C24×D3C2311yescharacteristic
95C22×C3×Q8C2311yescharacteristic
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C22×#67—24no—
99C22×#67—44no—
100C22×#67C2312yes—
101C22×#67C2314yes—
102C22×#67C2314yes—
103C23×Dic3—24no—
104C23×Dic3—44no—
105C23×Dic3C2314yes—
106C23×Dic3C2311yescharacteristic
107C23×Dic3C2311yescharacteristic
108C23×Dic3C2311yescharacteristic
109C22×D12C2312yes—
110C22×D12C2312yes—
111C22×D12C2311yescharacteristic
112C22×C4×D3C2314yes—
113C22×C4×D3C2312yes—
114C3×C22⋊Q8—24no—
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2312yes—
117C2×C3×C22⋊C4—24no—
118C2×C3×C22⋊C4C2312yes—
119C2×C3×C22⋊C4C2312yes—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2314yes—
124C2×C3×C42C2312yes—
125#953—28no—
126C2×#217C2314yes—
127C2×#217C2312yes—
128#947—28no—
129#930—24no—
130#929—28no—
131C2×(C2×D3)⋊C4—24no—
132C2×(C2×D3)⋊C4D418yescomplemented
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2312yes—
143C2×(C2×D3)⋊C4C2312yes—
144C2×C4⋊Dic3—24no—
145C2×C4⋊Dic3—24no—
146C2×C4⋊Dic3C2314yes—
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2312yes—
150C2×Dic3⋊C4C2312yes—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2314yes—
153C2×Dic3⋊C4C2314yes—
154C2×C4×Dic3C2312yes—
155C2×C4×Dic3C2314yes—
156C2×C4×Dic3C2312yes—
157#898—28no—
158#895—28no—
159#894—28no—
160#886—216no—
161#886—216no—
162#884—48no—
163#882—28no—
164#67⋊C4—28no—
165#67⋊C4—48no—
166D3×C22⋊C4—28no—
167C3×#95C2314yes—
168C3×#95C2314yes—
169C3×#95C2312yes—
170C3⋊#95C2314yes—
171C3⋊#95C2314yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
175C3⋊#95C2312yes—
176C23×D4—31no—
177C24×C4—31no—
178#538—68no—
179C2×#126—32no—
180C2×#124—32no—
181C2×#123—32no—
182C2×#123—32no—
183C2×#123—34no—
184C2×#123—34no—
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—32no—
193C2×C4×D4—34no—
194C22×C4⋊C4—31no—
195C22×C4⋊C4—31no—
196C22×C22⋊C4—31no—
197C22×C22⋊C4—31no—
198C22×C22⋊C4—32no—
199C22×C22⋊C4C2×D311yescharacteristic
200#399—32no—
201#398—34no—
202#397—34no—
203#397—34no—
204#397C2×D312yescomplemented
205#394—34no—
206#394—34no—
207#393C2×D312yescomplemented
208#392—34no—
209#392—32no—
210#391—32no—
211#390—34no—
212#390—32no—
213#389—34no—
214#388—34no—
215#388C2×D314yescomplemented
216#387—34no—
217#386—32no—
218#386—34no—
219#386—32no—
220#386—34no—
221#386—34no—
222#385—32no—
223#385—32no—
224#385—34no—
225#385—34no—
226#384—32no—
227#382—32no—
228#381C2×D312yes—
229#380—34no—
230#379C2×D312yes—
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×C3—22no—
238C24×C3—24no—
239C24×C3—24no—
240C24×C3—42no—
241C24×C3C2412yes—
242C24×C3C2411yescharacteristic
243C23×D3—24no—
244C23×D3—42no—
245C23×D3—42no—
246C23×D3C2×D414yes—
247C23×D3C2412yes—
248C23×D3C2412yes—
249C2×C3×Q8—22no—
250C2×C3×Q8—42no—
251C22×C3×C4—22no—
252C22×C3×C4—24no—
253C22×C3×C4—42no—
254C22×C3×C4C2×D414yes—
255C22×C3×C4C2412yes—
256C22×C3×C4C2414yes—
257C22×C3×C4C2412yes—
258C22×C3×C4C2412yes—
259C22×C3×C4C2411yescharacteristic
260C22×C3×C4C2411yescharacteristic
261C2×#67—24no—
262C2×#67—24no—
263C2×#67—24no—
264C2×#67—28no—
265C2×#67—28no—
266C2×#67—28no—
267C2×#67—28no—
268C2×#67—44no—
269C2×#67—44no—
270C2×#67—416no—
271C22×Dic3—22no—
272C22×Dic3—22no—
273C22×Dic3—28no—
274C22×Dic3—28no—
275C22×Dic3—42no—
276C22×Dic3—44no—
277C22×Dic3—42no—
278C22×Dic3—42no—
279C22×Dic3—416no—
280C22×Dic3C2×D414yes—
281C22×Dic3C2412yes—
282C22×Dic3C2412yes—
283C22×Dic3C2412yes—
284C22×Dic3C2412yes—
285C22×Dic3C2414yes—
286C2×D12—24no—
287C2×D12—24no—
288C2×D12—22no—
289C2×D12—44no—
290C2×D12—42no—
291C2×D12—44no—
292C2×C4×D3—24no—
293C2×C4×D3—28no—
294C2×C4×D3—44no—
295C2×C4×D3—44no—
296C2×C4×D3—44no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—24no—
299C3×C22⋊C4—24no—
300C3×C22⋊C4—24no—
301C3×C22⋊C4—28no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—24no—
304C3×C22⋊C4—44no—
305C3×C42—42no—
306#217—28no—
307#217#4118yes—
308(C2×D3)⋊C4—24no—
309(C2×D3)⋊C4—24no—
310(C2×D3)⋊C4—28no—
311(C2×D3)⋊C4—24no—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—28no—
314(C2×D3)⋊C4—28no—
315(C2×D3)⋊C4—44no—
316(C2×D3)⋊C4—44no—
317(C2×D3)⋊C4C2×D418yes—
318(C2×D3)⋊C4C2×D418yes—
319C4⋊Dic3—24no—
320C4⋊Dic3—24no—
321C4⋊Dic3—22no—
322C4⋊Dic3—28no—
323Dic3⋊C4—24no—
324Dic3⋊C4—28no—
325Dic3⋊C4—44no—
326Dic3⋊C4—44no—
327C4×Dic3—24no—
328C4×Dic3—44no—
329C4×Dic3—42no—
330C25—31no—
331C25C22×D311yescharacteristic
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—34no—
343C23×C4—31no—
344C23×C4—31no—
345C23×C4—34no—
346C23×C4—32no—
347C23×C4—64no—
348C23×C4—124no—
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—32no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—34no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—31no—
370C2×C4⋊C4—34no—
371C2×C4⋊C4—34no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—64no—
374C2×C4⋊C4—64no—
375C2×C4⋊C4C22×D312yes—
376C2×C4⋊C4C22×D311yescharacteristic
377C2×C22⋊C4—24no—
378C2×C22⋊C4—32no—
379C2×C22⋊C4—38no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—34no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—68no—
393C2×C22⋊C4—64no—
394C2×C22⋊C4C22×D312yes—
395C2×C22⋊C4C22×D312yes—
396C2×C22⋊C4C22×D312yes—
397C2×C22⋊C4C22×D312yes—
398C2×C22⋊C4C22×D314yes—
399C2×C22⋊C4C22×D314yes—
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×C3—28no—
416C23×C3—22no—
417C23×C3—24no—
418C23×C3—22no—
419C23×C3—24no—
420C23×C3—416no—
421C23×C3—44no—
422C23×C3—44no—
423C23×C3C22×D412yes—
424C23×C3C2×#4114yes—
425C23×C3H(5,𝔽2)14yes—
426C23×C3C2511yescharacteristic
427C22×D3—22no—
428C22×D3—22no—
429C22×D3—24no—
430C22×D3—24no—
431C22×D3—28no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3—22no—
435C22×D3—24no—
436C22×D3—24no—
437C22×D3—44no—
438C22×D3—44no—
439C22×D3—88no—
440C22×D3C22×D414yes—
441C3×Q8—82no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—24no—
449C2×C3×C4—24no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4—24no—
453C2×C3×C4—44no—
454C2×C3×C4—44no—
455C2×C3×C4C22×D412yes—
456C2×C3×C4C22×D412yes—
457#67—416no—
458#67—416no—
459#67—48no—
460C2×Dic3—24no—
461C2×Dic3—24no—
462C2×Dic3—24no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—44no—
471C2×Dic3—416no—
472C2×Dic3—44no—
473C2×Dic3—44no—
474C2×Dic3C22×D414yes—
475C2×Dic3C2×#4118yes—
476D12—82no—
477D12—84no—
478D12—84no—
479C4×D3—84no—
480C4×D3—88no—
481C24—22no—
482C24—24no—
483C24—24no—
484C24—32no—
485C24—34no—
486C24—32no—
487C24—42no—
488C24—64no—
489C24—122no—
490C24—122no—
491C24C23×D312yes—
492C24C23×D311yescharacteristic
493C2×Q8—22no—
494C2×Q8—42no—
495C2×D4—64no—
496C2×D4—64no—
497C2×D4—68no—
498C2×D4—68no—
499C2×D4—64no—
500C2×D4—64no—
501C2×D4—64no—
502C2×D4—68no—
503C2×D4—68no—
504C2×D4—62no—
505C2×D4—124no—
506C2×D4—122no—
507C2×D4—124no—
508C2×D4—124no—
509C2×D4—124no—
510C2×D4—1216no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—34no—
514C22×C4—32no—
515C22×C4—34no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—32no—
519C22×C4—42no—
520C22×C4—68no—
521C22×C4—64no—
522C22×C4—68no—
523C22×C4—62no—
524C22×C4—62no—
525C22×C4—68no—
526C22×C4—124no—
527C22×C4—124no—
528C22×C4—124no—
529C22×C4—122no—
530C22×C4—124no—
531C22×C4—122no—
532C22×C4—122no—
533C22×C4—1216no—
534C22×C4D3×D414yes—
535C22×C4C23×D312yes—
536C22×C4C23×D314yes—
537C22×C4C23×D312yes—
538C22×C4C23×D312yes—
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D311yescharacteristic
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—68no—
544C4⋊C4—64no—
545C4⋊C4—68no—
546C4⋊C4—64no—
547C4⋊C4—64no—
548C4⋊C4—62no—
549C4⋊C4—124no—
550C4⋊C4—124no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—28no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—38no—
557C22⋊C4—38no—
558C22⋊C4—38no—
559C22⋊C4—44no—
560C22⋊C4—68no—
561C22⋊C4—64no—
562C22⋊C4—68no—
563C22⋊C4—68no—
564C22⋊C4—64no—
565C22⋊C4—64no—
566C22⋊C4—68no—
567C22⋊C4—64no—
568C22⋊C4—124no—
569C22⋊C4—124no—
570C42—42no—
571C42—64no—
572C42—124no—
573C42—122no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—28no—
577C22×C3—24no—
578C22×C3—28no—
579C22×C3—416no—
580C22×C3—42no—
581C22×C3—42no—
582C22×C3—44no—
583C22×C3#53214yes—
584C22×C3C23×D411yescharacteristic
585C22×C3C22×#4112yes—
586C22×C3C2×H(5,𝔽2)12yes—
587C22×C3#58512yes—
588C2×D3—24no—
589C2×D3—24no—
590C2×D3—24no—
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—42no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—44no—
605Dic3—24no—
606Dic3—28no—
607Dic3—42no—
608Dic3—42no—
609Dic3—42no—
610C23—22no—
611C23—22no—
612C23—28no—
613C23—22no—
614C23—24no—
615C23—22no—
616C23—24no—
617C23—34no—
618C23—416no—
619C23—44no—
620C23—44no—
621C23—62no—
622C23—62no—
623C23—64no—
624C23—64no—
625C23—68no—
626C23—62no—
627C23—62no—
628C23—62no—
629C23—64no—
630C23—64no—
631C23—124no—
632C23—124no—
633C23—248no—
634C23C2×D3×D412yes—
635C23D3×#4114yes—
636C23#100914yes—
637C23C24×D311yescharacteristic
638Q8—82no—
639D4—1216no—
640D4—1216no—
641D4—128no—
642D4—242no—
643D4—244no—
644D4—244no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—34no—
657C2×C4—38no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—124no—
671C2×C4—1216no—
672C2×C4—124no—
673C2×C4—124no—
674C2×C4—248no—
675C2×C4—244no—
676C2×C4C2×D3×D412yes—
677C2×C4C2×D3×D412yes—
678C2×C3—24no—
679C2×C3—44no—
680C2×C3C2×#53211yescharacteristic
681C2×C3#348411yescharacteristic
682C2×C3#348511yescharacteristic
683C2×C3#351314yes—
684D3—44no—
685D3—82no—
686C22—28no—
687C22—22no—
688C22—22no—
689C22—28no—
690C22—24no—
691C22—416no—
692C22—44no—
693C22—42no—
694C22—42no—
695C22—64no—
696C22—64no—
697C22—64no—
698C22—124no—
699C22—124no—
700C22—124no—
701C22—124no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22—248no—
706C22#566814yes—
707C22C22×D3×D411yescharacteristic
708C22C2×D3×#4112yes—
709C22C2×#100912yes—
710C22#596612yes—
711C4—22no—
712C4—22no—
713C4—44no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—68no—
718C4—64no—
719C4—122no—
720C4—122no—
721C4—122no—
722C3#3539411yescharacteristic, complemented, Sylow
723C2—24no—
724C2—44no—
725C2—124no—
726C2—242no—
727C2#8603911yescharacteristic
728C2C2×#566811yescharacteristic
729C2#8629611yescharacteristic
730C2#8679514yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2561C2
hypercenter#2561D3
hypocenterC3#35394
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2561

Complements

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

NH ≅ G/Ntype
1. C2×#5644C2semidirect
2. C22×#886C2semidirect
3. C3×#2561C2semidirect
4. #82775C2semidirect
5. #82115C2semidirect
6. #77465C2semidirect
7. #76797C2semidirect
8. #75858C2semidirect
9. #75594C2semidirect
10. #74126C2semidirect
11. #74056C2semidirect
12. #73854C2semidirect
13. #73818C2semidirect
14. #73560C2semidirect
15. #73519C2semidirect
22. C2×#947C22semidirect
30. C2×#898C22semidirect
31. C2×#895C22semidirect
32. C2×#894C22semidirect
39. C2×#67⋊C4C22semidirect
41. C3×#397C22semidirect
42. C3×#393C22semidirect
43. C3×#388C22semidirect
47. #5229C22semidirect
49. #4981C22semidirect
50. #4975C22semidirect
52. #4960C22semidirect
56. #4958C22semidirect
57. #4957C22semidirect
59. #4949C22semidirect
62. #4946C22semidirect
64. Dic3×C22⋊C4C22semidirect
65. #4939C22semidirect
66. C4×(C2×D3)⋊C4C22semidirect
67. #4936C22semidirect
68. #4675C22semidirect
69. #4674C22semidirect
70. #4672C22semidirect
71. #4670C22semidirect
72. #4668C22semidirect
73. #4667C22semidirect
74. #4666C22semidirect
75. #4665C22semidirect
76. #4655C22semidirect
77. #4647C22semidirect
80. #2561D3semidirect
132. C2×(C2×D3)⋊C4D4semidirect
204. #397C2×D3semidirect
207. #393C2×D3semidirect
215. #388C2×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×#8862
C3×#25612
#827752
#821152
#774652
#767972
#758582
#755942
#741262
#740562
#738542
#738182
#735602
#735192
#353943