Finite Group Databasebeta

← #10975349

Subgroups — #10975349

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×#5617C211yesmaximal, characteristic, complemented
2C22×#886C211yesmaximal, characteristic, complemented
3C3×#2539C211yesmaximal, characteristic, complemented
4#82895C212yesmaximal, complemented
5#82836C212yesmaximal, complemented
6#82665C211yesmaximal, characteristic, complemented
7#82605C212yesmaximal, complemented
8Dic3×#120C212yesmaximal, complemented
9#82116C211yesmaximal, characteristic, complemented
10#78038C214yesmaximal, complemented
11#76683C214yesmaximal, complemented
12#76441C214yesmaximal, complemented
13#76357C214yesmaximal, complemented
14#73560C211yesmaximal, characteristic, complemented
15#73517C211yesmaximal, characteristic, complemented
16#35394—31nomaximal, Sylow
17C23×#67C2211yescharacteristic
18C24×Dic3C2211yescharacteristic
19C2×C3×#123C2212yes—
20C2×C3×#121C2211yescharacteristic
21C2×C3×#120C2212yes—
22C22×C3×C22⋊C4C2211yescharacteristic
23C2×#939C2212yescomplemented
24C2×#938C2214yes—
25C2×#937C2212yes—
26C2×D4×Dic3C2212yes—
27C2×D4×Dic3C2214yescomplemented
28C22×(C2×D3)⋊C4C2211yescharacteristic
29C22×(C2×D3)⋊C4C2211yescharacteristic
30C22×C4⋊Dic3C2211yescharacteristic
31C22×C4⋊Dic3C2211yescharacteristic
32C2×#924C2211yescharacteristic
33#5617—28no—
34C2×#898C2212yescomplemented
35C2×#886—28no—
36C2×#886C2214yes—
37C2×#886C2214yes—
38C2×#886C2212yescomplemented
39C2×#885C2212yescomplemented
40C2×D3×C22⋊C4C2212yes—
41C3×#399C2212yescomplemented
42C3×#392C2212yescomplemented
43C3×#390C2214yescomplemented
44C3×C4×C22⋊C4C2211yescharacteristic
45#5247C2212yes—
46#5223C2214yes—
47#5221C2212yescomplemented
48#5220C2212yes—
49#5220C2212yes—
50#5220C2214yescomplemented
51#5211C2212yes—
52C4×#217C2211yescharacteristic
53#4992C2214yescomplemented
54#4987C2214yescomplemented
55#4984C2214yescomplemented
56#4980C2214yescomplemented
57#4977C2212yescomplemented
58#4961C2214yes—
59#4961C2214yescomplemented
60#4956C2214yes—
61#4956C2214yescomplemented
62#4953C2214yescomplemented
63#4953C2212yescomplemented
64#4951C2214yescomplemented
65#4950C2212yes—
66#4950C2212yes—
67#4950C2214yescomplemented
68#4950C2214yescomplemented
69#4947C2212yescomplemented
70#4945C2214yescomplemented
71Dic3×C22⋊C4C2212yes—
72Dic3×C22⋊C4C2214yescomplemented
73C4×(C2×D3)⋊C4C2214yescomplemented
74#4935C2212yescomplemented
75#4929C2212yescomplemented
76#4666C2214yescomplemented
77#4661C2214yescomplemented
78C2×#538—31no—
79C22×#123—31no—
80#2561—31no—
81#2557—34no—
82#2553—34no—
83#2539D311yescharacteristic, complemented
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×D4C2312yes—
96C22×C3×D4C2314yes—
97C22×C3×D4C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C22×#67—24no—
101C22×#67—44no—
102C22×#67C2314yes—
103C22×#67C2312yes—
104C22×#67C2312yes—
105C23×Dic3—24no—
106C23×Dic3—44no—
107C23×Dic3C2314yes—
108C23×Dic3C2311yescharacteristic
109C23×Dic3C2311yescharacteristic
110C23×Dic3C2312yes—
111C23×Dic3C2311yescharacteristic
112C22×C4×D3C2314yes—
113C22×Dic6C2311yescharacteristic
114C3×#123—28no—
115C3×#121—24no—
116C3×#120—28no—
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C4⋊C4C2314yes—
119C2×C3×C22⋊C4—24no—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2314yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C42C2312yes—
127C2×#217C2312yes—
128C2×#217C2314yes—
129C2×#217C2312yes—
130C2×#217C2312yes—
131C2×#217C2314yes—
132C2×#217C2314yes—
133C2×#217C2314yes—
134#939—28no—
135#938—48no—
136#937—28no—
137D4×Dic3—28no—
138D4×Dic3—48no—
139C2×(C2×D3)⋊C4—24no—
140C2×(C2×D3)⋊C4D418yescomplemented
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2312yes—
143C2×(C2×D3)⋊C4C2314yes—
144C2×(C2×D3)⋊C4C2312yes—
145C2×(C2×D3)⋊C4C2312yes—
146C2×(C2×D3)⋊C4C2312yes—
147C2×C4⋊Dic3—24no—
148C2×C4⋊Dic3—24no—
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2312yes—
151C2×C4⋊Dic3C2311yescharacteristic
152C2×C4⋊Dic3C2312yes—
153C2×C4⋊Dic3C2314yes—
154C2×C4⋊Dic3C2314yes—
155C2×C4⋊Dic3C2314yes—
156#924—24no—
157C2×Dic3⋊C4C2312yes—
158C2×C4×Dic3C2312yes—
159C2×C4×Dic3C2312yes—
160C2×C4×Dic3C2314yes—
161#898—28no—
162#886—216no—
163#886—216no—
164#886—28no—
165#885—28no—
166D3×C22⋊C4—28no—
167C3×#95C2312yes—
168C3⋊#95C2314yes—
169C3⋊#95C2314yes—
170C3⋊#95C2314yes—
171C3⋊#95C2312yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2314yes—
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—68no—
185C2×#123C2×D312yes—
186C2×C22⋊Q8—31no—
187C2×#121—32no—
188C2×#121—34no—
189C2×#121C2×D311yescharacteristic
190C2×#120—32no—
191C2×#120C2×D312yes—
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#399C2×D312yescomplemented
201#398—34no—
202#397—34no—
203#397—32no—
204#397—34no—
205#394—34no—
206#394—34no—
207#393—32no—
208#392—34no—
209#392C2×D312yescomplemented
210#391—32no—
211#390—32no—
212#390C2×D314yescomplemented
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—32no—
223#385—34no—
224#385—32no—
225#385—34no—
226#384—32no—
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×C3—22no—
238C24×C3—24no—
239C24×C3—24no—
240C24×C3—42no—
241C24×C3C2412yes—
242C24×C3C2412yes—
243C24×C3C2411yescharacteristic
244C23×D3—24no—
245C23×D3—42no—
246C23×D3—42no—
247C23×D3C2×D414yes—
248C23×D3C2412yes—
249C2×C3×D4—24no—
250C2×C3×D4—24no—
251C2×C3×D4—24no—
252C2×C3×D4—28no—
253C2×C3×D4—22no—
254C2×C3×D4—28no—
255C2×C3×D4—44no—
256C2×C3×D4—42no—
257C22×C3×C4—22no—
258C22×C3×C4—24no—
259C22×C3×C4—42no—
260C22×C3×C4C2×D414yes—
261C22×C3×C4C2412yes—
262C22×C3×C4C2412yes—
263C22×C3×C4C2411yescharacteristic
264C22×C3×C4C2411yescharacteristic
265C22×C3×C4C2414yes—
266C2×#67—28no—
267C2×#67—28no—
268C2×#67—24no—
269C2×#67—24no—
270C2×#67—44no—
271C2×#67—44no—
272C2×#67—44no—
273C2×#67—416no—
274C22×Dic3—22no—
275C22×Dic3—22no—
276C22×Dic3—28no—
277C22×Dic3—28no—
278C22×Dic3—24no—
279C22×Dic3—42no—
280C22×Dic3—44no—
281C22×Dic3—42no—
282C22×Dic3—42no—
283C22×Dic3—44no—
284C22×Dic3—416no—
285C22×Dic3C2×D414yes—
286C22×Dic3C2414yes—
287C22×Dic3C2412yes—
288C22×Dic3C2412yes—
289C22×Dic3C2412yes—
290C22×Dic3C2412yes—
291C22×Dic3C2412yes—
292C2×C4×D3—28no—
293C2×C4×D3—44no—
294C2×C4×D3—44no—
295C2×Dic6—22no—
296C2×Dic6—42no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—28no—
299C3×C22⋊C4—24no—
300C3×C22⋊C4—24no—
301C3×C22⋊C4—24no—
302C3×C22⋊C4—28no—
303C3×C22⋊C4—28no—
304C3×C22⋊C4#4118yes—
305C3×C42—42no—
306#217—24no—
307#217—24no—
308#217—28no—
309#217—24no—
310#217—44no—
311#217—44no—
312#217—44no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—28no—
315(C2×D3)⋊C4—24no—
316(C2×D3)⋊C4—28no—
317(C2×D3)⋊C4C2×D418yes—
318(C2×D3)⋊C4C2×D418yes—
319C4⋊Dic3—22no—
320C4⋊Dic3—24no—
321C4⋊Dic3—24no—
322C4⋊Dic3—28no—
323C4⋊Dic3—24no—
324C4⋊Dic3—44no—
325C4⋊Dic3—44no—
326Dic3⋊C4—24no—
327C4×Dic3—24no—
328C4×Dic3—42no—
329C4×Dic3—44no—
330C25—31no—
331C25C22×D311yescharacteristic
332C22×Q8—31no—
333C22×D4—34no—
334C22×D4—32no—
335C22×D4—32no—
336C22×D4—64no—
337C22×D4—124no—
338C22×D4C22×D312yes—
339C22×D4C22×D314yes—
340C22×D4C22×D311yescharacteristic
341C23×C4—31no—
342C23×C4—34no—
343C23×C4—31no—
344C23×C4—31no—
345C23×C4—32no—
346C23×C4—34no—
347C23×C4—64no—
348C23×C4—124no—
349C23×C4C22×D311yescharacteristic
350C23×C4C22×D311yescharacteristic
351#126—68no—
352#124—68no—
353#123—28no—
354#123—616no—
355#123—616no—
356#123—68no—
357C22⋊Q8—64no—
358#121—24no—
359#121—68no—
360#121—128no—
361#120—28no—
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—32no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—34no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—64no—
374C2×C4⋊C4—64no—
375C2×C4⋊C4C22×D311yescharacteristic
376C2×C4⋊C4C22×D314yes—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—38no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—34no—
386C2×C22⋊C4—34no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—34no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—64no—
393C2×C22⋊C4—68no—
394C2×C22⋊C4C22×D312yes—
395C2×C22⋊C4C22×D312yes—
396C2×C22⋊C4C22×D314yes—
397C2×C22⋊C4C22×D312yes—
398C2×C22⋊C4C22×D314yes—
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#95—34no—
411#95—34no—
412#95C22×D312yes—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—28no—
416C23×C3—22no—
417C23×C3—24no—
418C23×C3—22no—
419C23×C3—24no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—416no—
426C23×C3—44no—
427C23×C3—44no—
428C23×C3C22×D412yes—
429C23×C3C2×#4114yes—
430C23×C3H(5,𝔽2)14yes—
431C23×C3C2511yescharacteristic
432C22×D3—22no—
433C22×D3—22no—
434C22×D3—24no—
435C22×D3—24no—
436C22×D3—28no—
437C22×D3—44no—
438C22×D3—44no—
439C22×D3—88no—
440C22×D3C22×D414yes—
441C3×D4—416no—
442C3×D4—48no—
443C3×D4—82no—
444C2×C3×C4—24no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—22no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—24no—
452C2×C3×C4—22no—
453C2×C3×C4—44no—
454C2×C3×C4—44no—
455C2×C3×C4C22×D412yes—
456C2×C3×C4C22×D412yes—
457C2×C3×C4C2×#4118yes—
458#67—416no—
459#67—84no—
460#67—84no—
461C2×Dic3—24no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—24no—
467C2×Dic3—24no—
468C2×Dic3—24no—
469C2×Dic3—24no—
470C2×Dic3—24no—
471C2×Dic3—24no—
472C2×Dic3—24no—
473C2×Dic3—44no—
474C2×Dic3—416no—
475C2×Dic3—44no—
476C2×Dic3—44no—
477C2×Dic3—84no—
478C2×Dic3C22×D414yes—
479C4×D3—88no—
480Dic6—82no—
481C24—22no—
482C24—24no—
483C24—24no—
484C24—32no—
485C24—34no—
486C24—42no—
487C24—64no—
488C24—122no—
489C24—122no—
490C24C23×D312yes—
491C24C23×D312yes—
492C24C23×D311yescharacteristic
493C2×Q8—62no—
494C2×Q8—122no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—28no—
499C2×D4—22no—
500C2×D4—28no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4—68no—
504C2×D4—68no—
505C2×D4—64no—
506C2×D4—64no—
507C2×D4—124no—
508C2×D4—124no—
509C2×D4—124no—
510C2×D4—1216no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—32no—
514C22×C4—34no—
515C22×C4—34no—
516C22×C4—32no—
517C22×C4—32no—
518C22×C4—32no—
519C22×C4—32no—
520C22×C4—42no—
521C22×C4—68no—
522C22×C4—64no—
523C22×C4—62no—
524C22×C4—62no—
525C22×C4—68no—
526C22×C4—68no—
527C22×C4—124no—
528C22×C4—124no—
529C22×C4—122no—
530C22×C4—124no—
531C22×C4—122no—
532C22×C4—122no—
533C22×C4—124no—
534C22×C4—1216no—
535C22×C4D3×D414yes—
536C22×C4C23×D312yes—
537C22×C4C23×D312yes—
538C22×C4C23×D311yescharacteristic
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D314yes—
541C4⋊C4—22no—
542C4⋊C4—28no—
543C4⋊C4—68no—
544C4⋊C4—64no—
545C4⋊C4—64no—
546C4⋊C4—64no—
547C4⋊C4—64no—
548C4⋊C4—62no—
549C4⋊C4—124no—
550C4⋊C4—124no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—28no—
555C22⋊C4—28no—
556C22⋊C4—38no—
557C22⋊C4—38no—
558C22⋊C4—68no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—68no—
565C22⋊C4—68no—
566C22⋊C4—124no—
567C22⋊C4—124no—
568C22⋊C4—124no—
569C22⋊C4#23718yes—
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—42no—
584C22×C3—42no—
585C22×C3—42no—
586C22×C3—44no—
587C22×C3—44no—
588C22×C3#53214yes—
589C22×C3C23×D411yescharacteristic
590C22×C3C22×#4112yes—
591C22×C3C2×H(5,𝔽2)12yes—
592C22×C3#58512yes—
593C2×D3—24no—
594C2×D3—24no—
595C2×D3—24no—
596C2×D3—44no—
597C2×D3—44no—
598C2×D3—88no—
599C3×C4—22no—
600C3×C4—22no—
601C3×C4—28no—
602C3×C4—42no—
603C3×C4—42no—
604Dic3—24no—
605Dic3—42no—
606Dic3—42no—
607Dic3—42no—
608Dic3—42no—
609Dic3—44no—
610C23—22no—
611C23—22no—
612C23—28no—
613C23—22no—
614C23—24no—
615C23—22no—
616C23—24no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—24no—
621C23—24no—
622C23—34no—
623C23—416no—
624C23—44no—
625C23—44no—
626C23—62no—
627C23—62no—
628C23—64no—
629C23—64no—
630C23—68no—
631C23—124no—
632C23—124no—
633C23—248no—
634C23C2×D3×D412yes—
635C23C2×#23714yes—
636C23#100914yes—
637C23C24×D311yescharacteristic
638Q8—242no—
639D4—416no—
640D4—48no—
641D4—82no—
642D4—1216no—
643D4—244no—
644D4—244no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—34no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—64no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—64no—
665C2×C4—64no—
666C2×C4—64no—
667C2×C4—64no—
668C2×C4—64no—
669C2×C4—124no—
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×#23718yes—
678C2×C3—24no—
679C2×C3—44no—
680C2×C3—82no—
681C2×C3C2×#53211yescharacteristic
682C2×C3#348411yescharacteristic
683C2×C3#348511yescharacteristic
684C2×C3#351314yes—
685D3—44no—
686C22—22no—
687C22—22no—
688C22—28no—
689C22—24no—
690C22—28no—
691C22—416no—
692C22—42no—
693C22—44no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—44no—
698C22—44no—
699C22—42no—
700C22—64no—
701C22—64no—
702C22—64no—
703C22—124no—
704C22—124no—
705C22—248no—
706C22#571614yes—
707C22C22×D3×D411yescharacteristic
708C22C22×#23712yes—
709C22C2×#100912yes—
710C22#596612yes—
711C4—22no—
712C4—22no—
713C4—28no—
714C4—42no—
715C4—42no—
716C4—64no—
717C4—122no—
718C4—122no—
719C4—122no—
720C4—122no—
721C4—124no—
722C3#3539411yescharacteristic, complemented, Sylow
723C2—24no—
724C2—44no—
725C2—82no—
726C2—124no—
727C2#8603911yescharacteristic
728C2C2×#571611yescharacteristic
729C2#8629611yescharacteristic
730C2#8663414yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2539C2
hypercenter#2539D3
hypocenterC3#35394
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. C2×#5617C2semidirect
2. C22×#886C2semidirect
3. C3×#2539C2semidirect
4. #82895C2semidirect
5. #82836C2semidirect
6. #82665C2semidirect
7. #82605C2semidirect
8. Dic3×#120C2semidirect
9. #82116C2semidirect
10. #78038C2semidirect
11. #76683C2semidirect
12. #76441C2semidirect
13. #76357C2semidirect
14. #73560C2semidirect
15. #73517C2semidirect
23. C2×#939C22semidirect
27. C2×D4×Dic3C22semidirect
34. C2×#898C22semidirect
38. C2×#886C22semidirect
39. C2×#885C22semidirect
41. C3×#399C22semidirect
42. C3×#392C22semidirect
43. C3×#390C22semidirect
47. #5221C22semidirect
50. #5220C22semidirect
53. #4992C22semidirect
54. #4987C22semidirect
55. #4984C22semidirect
56. #4980C22semidirect
57. #4977C22semidirect
59. #4961C22semidirect
61. #4956C22semidirect
62. #4953C22semidirect
63. #4953C22semidirect
64. #4951C22semidirect
67. #4950C22semidirect
68. #4950C22semidirect
69. #4947C22semidirect
70. #4945C22semidirect
72. Dic3×C22⋊C4C22semidirect
73. C4×(C2×D3)⋊C4C22semidirect
74. #4935C22semidirect
75. #4929C22semidirect
76. #4666C22semidirect
77. #4661C22semidirect
83. #2539D3semidirect
140. C2×(C2×D3)⋊C4D4semidirect
200. #399C2×D3semidirect
209. #392C2×D3semidirect
212. #390C2×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×#56172
C22×#8862
C3×#25392
#828952
#828362
#826652
#826052
Dic3×#1202
#821162
#780382
#766832
#764412
#763572
#735602
#735172
#353943