Finite Group Databasebeta

← #11001135

Subgroups — #11001135

Order 768.

3902 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5725C211yesmaximal, characteristic, complemented
2C2×#5627C212yesmaximal, complemented
3C22×C42×D3C211yesmaximal, characteristic, complemented
4C3×#2857C211yesmaximal, characteristic, complemented
5#83269C211yesmaximal, characteristic, complemented
6#82809C212yesmaximal, complemented
7#82081C211yesmaximal, characteristic, complemented
8#76662C212yesmaximal, complemented
9#76478C212yesmaximal, complemented
10#76286C214yesmaximal, complemented
11#75964C214yesmaximal, complemented
12#74375C211yesmaximal, characteristic, complemented
13#74318C211yesmaximal, characteristic, complemented
14#74048C214yesmaximal, complemented
15#73865C214yesmaximal, complemented
16#36624—31nomaximal, Sylow
17C22×#239C2212yes—
18C23×C4×D3C2212yes—
19C23×C4×D3C2211yescharacteristic
20C2×C3×C4⋊Q8C2211yescharacteristic, complemented
21C2×C3×C22⋊Q8C2212yes—
22C22×C3×C42C2211yescharacteristic
23C2×#947C2212yescomplemented
24C2×#946C2212yes—
25C2×#930C2214yes—
26C2×#930C2212yes—
27C22×C4×Dic3C2211yescharacteristic
28C22×C4×Dic3C2212yes—
29#5725—28no—
30#5627—216no—
31C2×#895C2214yes—
32C2×#895C2214yes—
33C2×#895C2212yes—
34C2×#894C2214yes—
35C2×#893C2214yes—
36C2×#893C2214yescomplemented
37C2×#892C2212yes—
38C2×#882C2214yes—
39C2×#67⋊C4C2214yes—
40C2×#874C2211yescharacteristic, complemented
41C2×C42×D3—28no—
42C2×C42×D3C2211yescharacteristic
43C2×C42×D3C2211yescharacteristic
44C2×C42×D3C2212yes—
45C2×C42×D3C2211yescharacteristic
46C2×C42×D3C2212yes—
47C2×C42×D3C2211yescharacteristic
48C3×#391C2212yescomplemented
49C3×#389C2214yescomplemented
50C3×#384C2211yescharacteristic, complemented
51C3×#380C2214yes—
52#5229C2212yescomplemented
53#4990C2218yescomplemented
54#4988C2212yescomplemented
55#4988C2214yescomplemented
56#4987C2214yes—
57#4987C2214yes—
58#4977C2212yescomplemented
59Dic3×C4⋊C4C2214yescomplemented
60#4972C2214yescomplemented
61#4958C2218yes—
62#4939C2212yescomplemented
63#4939C2214yescomplemented
64#4935C2211yescharacteristic, complemented
65#4669C2218yescomplemented
66#4666C2218yescomplemented
67#4665C2218yes—
68#4665C2218yes—
69C2×#532—31no—
70C2×#525—32no—
71C23×C42—31no—
72#2857—31no—
73#2857D311yescharacteristic, complemented
74#2856—31no—
75#2856—31no—
76#2854—34no—
77#2850—32no—
78#2850—32no—
79#2847—34no—
80C4×#121—34no—
81C4×#121—34no—
82#2297—32no—
83#2285—31no—
84C24×D3C2311yescharacteristic
85C22×C3×Q8C2312yes—
86C23×C3×C4C2311yescharacteristic
87C23×C3×C4C2312yes—
88C22×#67C2314yes—
89C23×Dic3C2312yes—
90C23×Dic3C2311yescharacteristic
91C2×#239—28no—
92C2×#239—28no—
93C2×#239—28no—
94C22×D12C2314yes—
95C22×D12C2314yes—
96C22×D12C2312yes—
97C22×D12C2314yes—
98C22×C4×D3—28no—
99C22×C4×D3—28no—
100C22×C4×D3—24no—
101C22×C4×D3—24no—
102C22×C4×D3—28no—
103C22×C4×D3D418yescomplemented
104C22×C4×D3C2312yes—
105C22×C4×D3C2312yes—
106C22×C4×D3C2314yes—
107C22×C4×D3C2312yes—
108C22×C4×D3C2311yescharacteristic
109C22×C4×D3C2311yescharacteristic
110C22×C4×D3C2311yescharacteristic
111C22×C4×D3C2312yes—
112C22×C4×D3C2311yescharacteristic
113C3×C4⋊Q8—24no—
114C3×C22⋊Q8—28no—
115C2×C3×C4⋊C4C2314yes—
116C2×C3×C4⋊C4C2314yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2314yes—
119C2×C3×C22⋊C4C2314yes—
120C2×C3×C42—24no—
121C2×C3×C42C2312yes—
122C2×C3×C42C2311yescharacteristic
123C2×C3×C42C2311yescharacteristic
124#947—28no—
125#946—28no—
126#930—28no—
127#930—216no—
128C2×(C2×D3)⋊C4C2318yes—
129C2×(C2×D3)⋊C4C2314yes—
130C2×(C2×D3)⋊C4C2314yes—
131C2×(C2×D3)⋊C4C2318yes—
132C2×(C2×D3)⋊C4C2318yes—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×C4⋊Dic3C2314yes—
136C2×C4⋊Dic3C2312yes—
137C2×Dic3⋊C4C2314yes—
138C2×C4×Dic3—28no—
139C2×C4×Dic3—24no—
140C2×C4×Dic3C2312yes—
141C2×C4×Dic3C2314yes—
142C2×C4×Dic3C2312yes—
143C2×C4×Dic3C2312yes—
144C2×C4×Dic3C2311yescharacteristic
145C2×C4×Dic3C2312yes—
146C2×C4×Dic3C2312yes—
147C2×C4×Dic3C2311yescharacteristic
148#895—216no—
149#895—28no—
150#895—216no—
151#894—216no—
152#893—216no—
153#893—216no—
154#892—28no—
155#882—216no—
156#67⋊C4—216no—
157#874—24no—
158C42×D3—28no—
159C42×D3—24no—
160C42×D3—24no—
161C42×D3—28no—
162C42×D3—24no—
163C42×D3D418yescomplemented
164C3×#95C2318yes—
165C3⋊#95C2318yes—
166C3⋊#95C2318yes—
167C22×#41—32no—
168C24×C4—31no—
169C24×C4—32no—
170#532—68no—
171C2×C4⋊Q8C2×D311yescharacteristic, complemented
172C2×#127—31no—
173C2×#124—32no—
174#525—616no—
175C2×#123—34no—
176C2×C22⋊Q8—32no—
177C2×C22⋊Q8C2×D312yes—
178C2×#121—34no—
179C2×#121—32no—
180C2×#121—34no—
181C2×#121—34no—
182C2×#121—32no—
183C2×#120—34no—
184C2×C4×D4—34no—
185C2×C4×D4—34no—
186C2×C4×D4—34no—
187C2×#117—32no—
188C22×C42—31no—
189C22×C42—31no—
190C22×C42—32no—
191C22×C42—31no—
192C22×C42—32no—
193C22×C42—31no—
194C22×C42—31no—
195C22×C42—32no—
196C22×C42—68no—
197C22×C42C2×D311yescharacteristic
198#391—32no—
199#391C2×D312yescomplemented
200#390—32no—
201#390—34no—
202#390—32no—
203#390—34no—
204#389—34no—
205#389C2×D314yescomplemented
206#388—38no—
207#388—38no—
208#386—38no—
209#386—38no—
210#386—38no—
211#384—31no—
212#384C2×D311yescharacteristic, complemented
213#382—32no—
214#380—34no—
215#380—34no—
216#380C2×D314yes—
217C4×C4⋊C4—34no—
218C4×C22⋊C4—38no—
219C24×C3C2411yescharacteristic
220C23×D3—24no—
221C23×D3—22no—
222C23×D3—24no—
223C23×D3—22no—
224C23×D3C2×D414yes—
225C23×D3C2414yes—
226C23×D3C2411yescharacteristic
227C23×D3C2411yescharacteristic
228C2×C3×Q8—24no—
229C2×C3×Q8—24no—
230C2×C3×Q8—24no—
231C22×C3×C4—22no—
232C22×C3×C4—24no—
233C22×C3×C4—22no—
234C22×C3×C4—24no—
235C22×C3×C4C2×D414yes—
236C22×C3×C4#4118yescomplemented
237C22×C3×C4C2414yes—
238C22×C3×C4C2414yes—
239C22×C3×C4C2411yescharacteristic
240C22×C3×C4C2412yes—
241C22×C3×C4C2411yescharacteristic
242C22×C3×C4C2412yes—
243C2×#67—28no—
244C2×#67—216no—
245C22×Dic3—24no—
246C22×Dic3—24no—
247C22×Dic3—22no—
248C22×Dic3—24no—
249C22×Dic3—22no—
250C22×Dic3C2×D414yes—
251C22×Dic3C2414yes—
252C22×Dic3C2412yes—
253C22×Dic3C2411yescharacteristic
254C22×Dic3C2412yes—
255C22×Dic3C2411yescharacteristic
256#239—432no—
257C2×D12—28no—
258C2×D12—28no—
259C2×D12—28no—
260C2×D12—216no—
261C2×D12—28no—
262C2×D12—28no—
263C2×D12—24no—
264C2×D12—24no—
265C2×D12—28no—
266C2×D12—28no—
267C2×D12—24no—
268C2×C4×D3—264no—
269C2×C4×D3—24no—
270C2×C4×D3—22no—
271C2×C4×D3—24no—
272C2×C4×D3—22no—
273C2×C4×D3—22no—
274C2×C4×D3—24no—
275C2×C4×D3—24no—
276C2×C4×D3—24no—
277C2×C4×D3—24no—
278C2×C4×D3—24no—
279C2×C4×D3—22no—
280C2×C4×D3—24no—
281C2×C4×D3—24no—
282C2×C4×D3—22no—
283C2×C4×D3—24no—
284C2×C4×D3—22no—
285C2×C4×D3—232no—
286C2×C4×D3—28no—
287C2×C4×D3—28no—
288C2×C4×D3—28no—
289C2×C4×D3C2×D418yes—
290C2×C4×D3C2×D414yes—
291C2×C4×D3C2×D414yes—
292C2×C4×D3C2×D414yes—
293C2×C4×D3C2×D414yes—
294C2×C4×D3C2×D414yes—
295C2×C4×D3#4114yes—
296C2×C4×D3#4118yescomplemented
297C3×C4⋊C4—24no—
298C3×C4⋊C4—28no—
299C3×C4⋊C4—28no—
300C3×C4⋊C4—28no—
301C3×C22⋊C4—28no—
302C3×C42—22no—
303C3×C42—24no—
304C3×C42C2×D414yes—
305(C2×D3)⋊C4—28no—
306(C2×D3)⋊C4—28no—
307(C2×D3)⋊C4—28no—
308(C2×D3)⋊C4—216no—
309(C2×D3)⋊C4—28no—
310(C2×D3)⋊C4—216no—
311(C2×D3)⋊C4—216no—
312C4⋊Dic3—24no—
313C4⋊Dic3—28no—
314Dic3⋊C4—28no—
315C4×Dic3—22no—
316C4×Dic3—24no—
317C4×Dic3—24no—
318C4×Dic3—24no—
319C4×Dic3—24no—
320C4×Dic3—28no—
321C4×Dic3C2×D418yes—
322C4×Dic3C2×D414yes—
323C25—31no—
324C2×#41—68no—
325C2×#41—68no—
326C2×#41—68no—
327C22×Q8C22×D312yes—
328C22×D4—34no—
329C22×D4—34no—
330C22×D4—34no—
331C22×D4—34no—
332C22×D4—32no—
333C23×C4—31no—
334C23×C4—31no—
335C23×C4—38no—
336C23×C4—31no—
337C23×C4—31no—
338C23×C4—32no—
339C23×C4—32no—
340C23×C4—31no—
341C23×C4—32no—
342C23×C4—34no—
343C23×C4—32no—
344C23×C4—32no—
345C23×C4—64no—
346C23×C4—68no—
347C23×C4—64no—
348C23×C4—68no—
349C23×C4—68no—
350C23×C4C22×D311yescharacteristic
351C23×C4C22×D312yes—
352C4⋊Q8—24no—
353#127—64no—
354#124—68no—
355#123—616no—
356C22⋊Q8—28no—
357C22⋊Q8—68no—
358#121—68no—
359#121—616no—
360#121—616no—
361#121—68no—
362#121—616no—
363#120—616no—
364C4×D4—616no—
365C4×D4—616no—
366C4×D4—616no—
367#117—68no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—34no—
371C2×C4⋊C4C22×D312yes—
372C2×C4⋊C4C22×D314yes—
373C2×C4⋊C4C22×D314yes—
374C2×C4⋊C4C22×D314yes—
375C2×C22⋊C4—34no—
376C2×C22⋊C4—34no—
377C2×C22⋊C4—34no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—38no—
380C2×C22⋊C4—38no—
381C2×C22⋊C4—38no—
382C2×C22⋊C4C22×D314yes—
383C2×C42—24no—
384C2×C42—32no—
385C2×C42—31no—
386C2×C42—38no—
387C2×C42—34no—
388C2×C42—32no—
389C2×C42—32no—
390C2×C42—32no—
391C2×C42—32no—
392C2×C42—31no—
393C2×C42—68no—
394C2×C42—64no—
395C2×C42—64no—
396C2×C42—68no—
397C2×C42—68no—
398C2×C42—64no—
399C2×C42—64no—
400C2×C42C22×D312yes—
401C2×C42C22×D311yescharacteristic
402C2×C42C22×D311yescharacteristic
403#95—38no—
404#95—38no—
405#95C22×D318yes—
406C23×C3—21no—
407C23×C3—21no—
408C23×C3—22no—
409C23×C3C22×D412yes—
410C23×C3C2×#4114yes—
411C23×C3C2511yescharacteristic
412C22×D3—216no—
413C22×D3—216no—
414C22×D3—28no—
415C22×D3—21no—
416C22×D3—22no—
417C22×D3—22no—
418C22×D3—21no—
419C22×D3—22no—
420C22×D3—28no—
421C22×D3—28no—
422C22×D3—24no—
423C22×D3—24no—
424C22×D3—28no—
425C22×D3—28no—
426C22×D3—24no—
427C22×D3C22×D412yes—
428C22×D3C22×D412yes—
429C22×D3C22×D412yes—
430C22×D3C2×#4112yes—
431C22×D3C2×#4114yes—
432C3×Q8—48no—
433C2×C3×C4—21no—
434C2×C3×C4—22no—
435C2×C3×C4—21no—
436C2×C3×C4—22no—
437C2×C3×C4—28no—
438C2×C3×C4—216no—
439C2×C3×C4—24no—
440C2×C3×C4—24no—
441C2×C3×C4—24no—
442C2×C3×C4—28no—
443C2×C3×C4—24no—
444C2×C3×C4C22×D412yes—
445C2×C3×C4C22×D412yes—
446C2×C3×C4C22×D412yes—
447C2×C3×C4C22×D414yes—
448C2×C3×C4C2×#4114yes—
449C2×C3×C4C2×#4114yes—
450C2×C3×C4C2×#4112yes—
451C2×C3×C4C2×#4114yes—
452#67—416no—
453C2×Dic3—216no—
454C2×Dic3—21no—
455C2×Dic3—22no—
456C2×Dic3—22no—
457C2×Dic3—22no—
458C2×Dic3—21no—
459C2×Dic3—22no—
460C2×Dic3—28no—
461C2×Dic3—24no—
462C2×Dic3—28no—
463C2×Dic3C22×D414yes—
464C2×Dic3C22×D412yes—
465C2×Dic3C22×D412yes—
466C2×Dic3C22×D412yes—
467C2×Dic3C2×#4114yes—
468C2×Dic3C2×#4112yes—
469D12—416no—
470D12—416no—
471D12—48no—
472D12—416no—
473C4×D3—216no—
474C4×D3—216no—
475C4×D3—28no—
476C4×D3—28no—
477C4×D3—216no—
478C4×D3—216no—
479C4×D3—28no—
480C4×D3—416no—
481C4×D3#121116yescomplemented
482C24—31no—
483C24—31no—
484C24—34no—
485C24—34no—
486C24—62no—
487C24—62no—
488C24—64no—
489C24—64no—
490C24C23×D311yescharacteristic
491#41—1232no—
492C2×Q8—24no—
493C2×Q8—24no—
494C2×Q8—24no—
495C2×D4—68no—
496C2×D4—68no—
497C2×D4—68no—
498C2×D4—616no—
499C2×D4—68no—
500C2×D4—68no—
501C2×D4—616no—
502C2×D4—68no—
503C2×D4—64no—
504C2×D4—64no—
505C2×D4—68no—
506C2×D4—68no—
507C2×D4—64no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—31no—
513C22×C4—34no—
514C22×C4—34no—
515C22×C4—34no—
516C22×C4—34no—
517C22×C4—32no—
518C22×C4—32no—
519C22×C4—31no—
520C22×C4—38no—
521C22×C4—34no—
522C22×C4—34no—
523C22×C4—34no—
524C22×C4—38no—
525C22×C4—34no—
526C22×C4—62no—
527C22×C4—64no—
528C22×C4—62no—
529C22×C4—64no—
530C22×C4—632no—
531C22×C4—68no—
532C22×C4—68no—
533C22×C4—68no—
534C22×C4—62no—
535C22×C4—64no—
536C22×C4—62no—
537C22×C4—64no—
538C22×C4—664no—
539C22×C4—62no—
540C22×C4—64no—
541C22×C4—62no—
542C22×C4—64no—
543C22×C4—64no—
544C22×C4—62no—
545C22×C4—64no—
546C22×C4—64no—
547C22×C4—64no—
548C22×C4—64no—
549C22×C4—64no—
550C22×C4—62no—
551C22×C4—64no—
552C22×C4D3×D414yes—
553C22×C4#23918yescomplemented
554C22×C4C23×D314yes—
555C22×C4C23×D314yes—
556C22×C4C23×D311yescharacteristic
557C22×C4C23×D312yes—
558C22×C4C23×D311yescharacteristic
559C22×C4C23×D312yes—
560C4⋊C4—24no—
561C4⋊C4—28no—
562C4⋊C4—28no—
563C4⋊C4—28no—
564C4⋊C4—68no—
565C4⋊C4—64no—
566C4⋊C4—68no—
567C22⋊C4—28no—
568C22⋊C4—68no—
569C22⋊C4—616no—
570C22⋊C4—616no—
571C22⋊C4—68no—
572C22⋊C4—68no—
573C22⋊C4—68no—
574C22⋊C4—616no—
575C42—22no—
576C42—24no—
577C42—38no—
578C42—34no—
579C42—64no—
580C42—64no—
581C42—64no—
582C42—68no—
583C42—62no—
584C42—64no—
585C42D3×D414yes—
586C22×C3—22no—
587C22×C3—24no—
588C22×C3—22no—
589C22×C3—24no—
590C22×C3#53214yescomplemented
591C22×C3C23×D411yescharacteristic
592C22×C3C23×D411yescharacteristic
593C22×C3C22×#4112yes—
594C22×C3C22×#4111yescharacteristic
595C22×C3C22×#4112yes—
596C2×D3—232no—
597C2×D3—22no—
598C2×D3—24no—
599C2×D3—24no—
600C2×D3—22no—
601C2×D3—22no—
602C2×D3—22no—
603C2×D3—24no—
604C2×D3—24no—
605C2×D3—44no—
606C2×D3—48no—
607C2×D3—44no—
608C2×D3—44no—
609C2×D3—48no—
610C2×D3C2×#12114yes—
611C2×D3#53214yescomplemented
612C3×C4—22no—
613C3×C4—24no—
614C3×C4—44no—
615C3×C4—44no—
616C3×C4C2×#12114yes—
617C3×C4#52518yescomplemented
618Dic3—22no—
619Dic3—24no—
620Dic3—24no—
621Dic3—44no—
622Dic3C2×#12114yes—
623C23—21no—
624C23—21no—
625C23—22no—
626C23—32no—
627C23—32no—
628C23—32no—
629C23—32no—
630C23—34no—
631C23—68no—
632C23—68no—
633C23—616no—
634C23—616no—
635C23—61no—
636C23—62no—
637C23—62no—
638C23—61no—
639C23—62no—
640C23—68no—
641C23—64no—
642C23—64no—
643C23—68no—
644C23—68no—
645C23—64no—
646C23C2×D3×D412yes—
647C23C2×#23914yes—
648C23C24×D311yescharacteristic
649Q8—48no—
650D4—1216no—
651D4—1216no—
652D4—1216no—
653D4—128no—
654D4—1216no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—28no—
660C2×C4—216no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—28no—
665C2×C4—24no—
666C2×C4—32no—
667C2×C4—32no—
668C2×C4—32no—
669C2×C4—316no—
670C2×C4—34no—
671C2×C4—32no—
672C2×C4—34no—
673C2×C4—68no—
674C2×C4—68no—
675C2×C4—616no—
676C2×C4—616no—
677C2×C4—68no—
678C2×C4—616no—
679C2×C4—61no—
680C2×C4—62no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—61no—
684C2×C4—62no—
685C2×C4—68no—
686C2×C4—616no—
687C2×C4—616no—
688C2×C4—64no—
689C2×C4—68no—
690C2×C4—1216no—
691C2×C4C2×D3×D412yes—
692C2×C4C2×D3×D412yes—
693C2×C4C2×D3×D412yes—
694C2×C4C2×D3×D414yes—
695C2×C4C2×#23914yes—
696C2×C4C2×#23914yes—
697C2×C4D3×#4112yes—
698C2×C4D3×#4114yes—
699C2×C3—24no—
700C2×C3C22×#12111yescharacteristic
701C2×C3C2×#52512yes—
702C2×C3C2×#53211yescharacteristic
703C2×C3C2×#53211yescharacteristic
704C2×C3#344412yes—
705D3—24no—
706D3—24no—
707D3—84no—
708C22—22no—
709C22—24no—
710C22—22no—
711C22—24no—
712C22—34no—
713C22—34no—
714C22—632no—
715C22—62no—
716C22—62no—
717C22—62no—
718C22—64no—
719C22—64no—
720C22—62no—
721C22—64no—
722C22—64no—
723C22—124no—
724C22—124no—
725C22—128no—
726C22—124no—
727C22—128no—
728C22#572514yescomplemented
729C22C22×D3×D411yescharacteristic
730C22C22×D3×D411yescharacteristic
731C22C22×#23912yes—
732C22C2×D3×#4111yescharacteristic
733C22C2×D3×#4112yes—
734C4—22no—
735C4—24no—
736C4—34no—
737C4—44no—
738C4—44no—
739C4—62no—
740C4—64no—
741C4—64no—
742C4—124no—
743C4D3×#12114yes—
744C4#562718yescomplemented
745C3#3662411yescharacteristic, complemented, Sylow
746C2—24no—
747C2—64no—
748C2—64no—
749C2—244no—
750C2C2×D3×#12111yescharacteristic
751C2C2×#562712yes—
752C2C2×#572511yescharacteristic
753C2D3×#53211yescharacteristic
754C2#8625712yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2857C2
hypercenter#2857D3
hypocenterC3#36624
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2857

Complements

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

NH ≅ G/Ntype
1. C2×#5725C2semidirect
2. C2×#5627C2semidirect
3. C22×C42×D3C2semidirect
4. C3×#2857C2semidirect
5. #83269C2semidirect
6. #82809C2semidirect
7. #82081C2semidirect
8. #76662C2semidirect
9. #76478C2semidirect
10. #76286C2semidirect
11. #75964C2semidirect
12. #74375C2semidirect
13. #74318C2semidirect
14. #74048C2semidirect
15. #73865C2semidirect
20. C2×C3×C4⋊Q8C22semidirect
23. C2×#947C22semidirect
36. C2×#893C22semidirect
40. C2×#874C22semidirect
48. C3×#391C22semidirect
49. C3×#389C22semidirect
50. C3×#384C22semidirect
52. #5229C22semidirect
53. #4990C22semidirect
54. #4988C22semidirect
55. #4988C22semidirect
58. #4977C22semidirect
59. Dic3×C4⋊C4C22semidirect
60. #4972C22semidirect
62. #4939C22semidirect
63. #4939C22semidirect
64. #4935C22semidirect
65. #4669C22semidirect
66. #4666C22semidirect
73. #2857D3semidirect
103. C22×C4×D3D4semidirect
163. C42×D3D4semidirect
171. C2×C4⋊Q8C2×D3semidirect
199. #391C2×D3semidirect
205. #389C2×D3semidirect
212. #384C2×D3semidirect
236. C22×C3×C4#41semidirect
296. C2×C4×D3#41semidirect
481. C4×D3#121semidirect
553. C22×C4#239semidirect
590. C22×C3#532semidirect
611. C2×D3#532semidirect
617. C3×C4#525semidirect
728. C22#5725semidirect
744. C4#5627semidirect
745. C3#36624semidirect

Maximal subgroups

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

subgroupindex
C2×#57252
C2×#56272
C22×C42×D32
C3×#28572
#832692
#828092
#820812
#766622
#764782
#762862
#759642
#743752
#743182
#740482
#738652
#366243