Finite Group Databasebeta

← #11069539

Subgroups — #11069539

Order 768.

2238 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5603C212yesmaximal, complemented
2C3×#2537C211yesmaximal, characteristic
3#82664C212yesmaximal, complemented
4#82662C212yesmaximal, complemented
5#82644C212yesmaximal, complemented
6#82376C211yesmaximal, characteristic, complemented
7D4×C4⋊Dic3C211yesmaximal, characteristic, complemented
8C4×#936C211yesmaximal, characteristic, complemented
9#82319C211yesmaximal, characteristic, complemented
10#77039C214yesmaximal, complemented
11#77002C214yesmaximal, complemented
12#74356C211yesmaximal, characteristic, complemented
13#74323C211yesmaximal, characteristic, complemented
14#73954C212yesmaximal, complemented
15#73923C212yesmaximal, complemented
16#73899C212yesmaximal, complemented
17#73894C212yesmaximal, complemented
18#39377—31nomaximal, Sylow
19C2×C3×#121C2212yes—
20C2×C3×#121C2212yes—
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C2×#936C2214yes—
24C2×#936C2211yescharacteristic
25C2×#935C2214yes—
26C2×#935C2214yes—
27C2×D4×Dic3C2212yes—
28C2×#926C2212yes—
29C22×C4⋊Dic3C2212yes—
30C2×#924C2212yes—
31#5603—216no—
32C2×#888C2212yes—
33C2×#888C2212yes—
34C2×#888C2212yes—
35C2×#887C2212yes—
36C2×#879C2214yes—
37C2×#878C2214yes—
38C2×C4×Dic6C2211yescharacteristic
39C3×#394C2214yes—
40C3×#384C2211yescharacteristic
41C3×#380C2212yes—
42C3×#380C2212yes—
43#5222C2214yes—
44#5221C2211yescharacteristic
45#5221C2211yescharacteristic
46#5221C2211yescharacteristic
47#5221C2212yes—
48#5212C2212yes—
49#5212C2212yes—
50C4×#217C2212yes—
51C4×#217C2212yes—
52C4×#217C2212yes—
53#4984C2211yescharacteristic
54#4984C2211yescharacteristic
55#4984C2212yes—
56#4977C2211yescharacteristic
57#4976C2214yes—
58#4975C2212yes—
59#4975C2212yes—
60#4975C2212yes—
61#4975C2212yes—
62Dic3×C4⋊C4C2212yes—
63#4973C2211yescharacteristic
64#4972C2212yes—
65#4972C2212yes—
66#4952C2214yes—
67#4951C2212yes—
68#4951C2212yes—
69#4950C2214yes—
70#4949C2214yes—
71#4949C2214yes—
72#4948C2214yes—
73#4947C2214yes—
74#4946C2214yes—
75#4945C2212yes—
76#4945C2212yes—
77#4945C2214yes—
78#4935C2211yescharacteristic
79C4×C4⋊Dic3C2211yescharacteristic
80C42×Dic3C2211yescharacteristic
81#4660C2214yes—
82#4657C2214yes—
83#4656C2214yes—
84#4652C2214yes—
85C2×#542—32no—
86#2868—31no—
87#2718—34no—
88#2674—34no—
89#2628—32no—
90#2538—31no—
91#2537D311yescharacteristic
92#2501—32no—
93#2496—32no—
94#2491—32no—
95#2440—32no—
96#2423—32no—
97#2422—32no—
98Q8×C4⋊C4—31no—
99D4×C4⋊C4—31no—
100C4×#124—31no—
101#2293—31no—
102C22×C3×D4C2311yescharacteristic
103C22×C3×D4C2311yescharacteristic
104C22×C3×D4C2314yes—
105C23×C3×C4C2312yes—
106C23×C3×C4C2312yes—
107C23×Dic3C2314yes—
108C22×Dic6C2311yescharacteristic
109C22×Dic6C2314yes—
110C3×#121—28no—
111C3×#121—44no—
112C3×C4×D4—24no—
113C3×C4×D4—24no—
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2312yes—
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C22⋊C4C2312yes—
120C2×C3×C22⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C42C2311yescharacteristic
124C2×#217C2312yes—
125C2×#217C2312yes—
126C2×#217C2314yes—
127C2×#217C2312yes—
128C2×#217C2312yes—
129C2×#217C2312yes—
130C2×#217C2312yes—
131C2×#217C2314yes—
132C2×#217C2314yes—
133C2×#217C2312yes—
134C2×#217C2312yes—
135#936—216no—
136#936D418yescomplemented
137#935—216no—
138#935—48no—
139D4×Dic3—28no—
140#926—28no—
141C2×C4⋊Dic3—44no—
142C2×C4⋊Dic3C2312yes—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2311yescharacteristic
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2312yes—
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2314yes—
150C2×C4⋊Dic3C2312yes—
151#924—28no—
152C2×Dic3⋊C4C2314yes—
153C2×Dic3⋊C4C2314yes—
154C2×Dic3⋊C4C2314yes—
155C2×Dic3⋊C4C2314yes—
156C2×Dic3⋊C4C2312yes—
157C2×Dic3⋊C4C2314yes—
158C2×Dic3⋊C4C2314yes—
159C2×C4×Dic3C2314yes—
160C2×C4×Dic3C2311yescharacteristic
161C2×C4×Dic3C2311yescharacteristic
162C2×C4×Dic3C2311yescharacteristic
163C2×C4×Dic3C2311yescharacteristic
164C2×C4×Dic3C2311yescharacteristic
165C2×C4×Dic3C2312yes—
166C2×C4×Dic3C2312yes—
167C2×C4×Dic3C2311yescharacteristic
168#888—28no—
169#888—44no—
170#888—44no—
171#887—28no—
172#879—216no—
173#878—216no—
174C4×Dic6—24no—
175C3×#95C2314yes—
176C3⋊#95C2312yes—
177C3⋊#95C2312yes—
178C3⋊#95C2314yes—
179C3⋊#95C2312yes—
180C3⋊#95C2314yes—
181C3⋊#95C2312yes—
182C3⋊#95C2312yes—
183C3⋊#95C2312yes—
184C3⋊#95C2314yes—
185C3⋊#95C2312yes—
186#542—616no—
187C2×C4⋊Q8—32no—
188C2×C4⋊Q8—32no—
189C2×C4⋊Q8—32no—
190C2×#126—34no—
191C2×#124—31no—
192C2×#124—34no—
193C2×#123—34no—
194C2×#123—34no—
195C2×C22⋊Q8—32no—
196C2×C22⋊Q8—34no—
197C2×#121C2×D312yes—
198C2×#121C2×D312yes—
199C2×C4×Q8—32no—
200C2×C4×Q8—31no—
201C2×C4×D4—32no—
202C2×C4×D4C2×D311yescharacteristic
203C2×C4×D4C2×D311yescharacteristic
204C2×#117—32no—
205C22×C4⋊C4—32no—
206#400—34no—
207#399—34no—
208#399—34no—
209#398—34no—
210#397—34no—
211#396—34no—
212#395—34no—
213#394—34no—
214#394C2×D314yes—
215#393—34no—
216#391—31no—
217#390—31no—
218#390—31no—
219#390—32no—
220#390—31no—
221#389—32no—
222#389—32no—
223#389—34no—
224#389—32no—
225#389—31no—
226#389—31no—
227#388—32no—
228#388—34no—
229#388—32no—
230#388—32no—
231#388—32no—
232#387—34no—
233#385—34no—
234#385—34no—
235#384—32no—
236#384—32no—
237#384—32no—
238#384—32no—
239#384—31no—
240#384C2×D311yescharacteristic
241#382—31no—
242#380—32no—
243#380—32no—
244#380C2×D312yes—
245#380C2×D312yes—
246C4×C4⋊C4—32no—
247C4×C4⋊C4—31no—
248C4×C22⋊C4—32no—
249C4×C22⋊C4—32no—
250C4×C22⋊C4—32no—
251C43—31no—
252C24×C3C2412yes—
253C24×C3C2412yes—
254C2×C3×D4—28no—
255C2×C3×D4—22no—
256C2×C3×D4—22no—
257C2×C3×D4—22no—
258C2×C3×D4—22no—
259C2×C3×D4—22no—
260C2×C3×D4—44no—
261C2×C3×D4—44no—
262C2×C3×D4C2×D414yes—
263C22×C3×C4—24no—
264C22×C3×C4—24no—
265C22×C3×C4—24no—
266C22×C3×C4—24no—
267C22×C3×C4—24no—
268C22×C3×C4—24no—
269C22×C3×C4C2412yes—
270C22×C3×C4C2412yes—
271C22×C3×C4C2414yes—
272C22×C3×C4C2411yescharacteristic
273C22×C3×C4C2411yescharacteristic
274C22×C3×C4C2411yescharacteristic
275C22×Dic3—28no—
276C22×Dic3—44no—
277C22×Dic3—44no—
278C22×Dic3C2412yes—
279C22×Dic3C2412yes—
280C22×Dic3C2412yes—
281C22×Dic3C2414yes—
282C22×Dic3C2412yes—
283C22×Dic3C2411yescharacteristic
284C22×Dic3C2411yescharacteristic
285C22×Dic3C2411yescharacteristic
286C22×Dic3C2411yescharacteristic
287C2×Dic6—22no—
288C2×Dic6—22no—
289C2×Dic6—28no—
290C2×Dic6—44no—
291C2×Dic6—44no—
292C2×Dic6C2×D414yes—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—22no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—24no—
297C3×C4⋊C4—42no—
298C3×C22⋊C4—28no—
299C3×C22⋊C4—24no—
300C3×C22⋊C4—24no—
301C3×C22⋊C4—44no—
302C3×C42#4114yes—
303#217—28no—
304#217—28no—
305#217—24no—
306#217—24no—
307#217—24no—
308#217—24no—
309#217—24no—
310#217—24no—
311#217—44no—
312#217C2×D418yes—
313#217C2×D418yes—
314C4⋊Dic3—24no—
315C4⋊Dic3—22no—
316C4⋊Dic3—24no—
317C4⋊Dic3—22no—
318C4⋊Dic3—22no—
319C4⋊Dic3—24no—
320C4⋊Dic3—24no—
321C4⋊Dic3—42no—
322C4⋊Dic3—44no—
323Dic3⋊C4—24no—
324Dic3⋊C4—28no—
325Dic3⋊C4—28no—
326Dic3⋊C4—28no—
327Dic3⋊C4—28no—
328Dic3⋊C4—44no—
329Dic3⋊C4—44no—
330C4×Dic3—24no—
331C4×Dic3—24no—
332C4×Dic3—22no—
333C4×Dic3—22no—
334C4×Dic3—22no—
335C4×Dic3—28no—
336C4×Dic3—22no—
337C4×Dic3—22no—
338C4×Dic3C2×D414yes—
339C22×Q8—31no—
340C22×Q8—34no—
341C22×D4C22×D311yescharacteristic
342C22×D4C22×D311yescharacteristic
343C22×D4C22×D314yes—
344C23×C4—34no—
345C23×C4C22×D312yes—
346C23×C4C22×D312yes—
347C4⋊Q8—68no—
348C4⋊Q8—124no—
349C4⋊Q8—124no—
350#126—616no—
351#124—38no—
352#124—616no—
353#123—616no—
354#123—128no—
355C22⋊Q8—616no—
356C22⋊Q8—68no—
357#121—28no—
358#121—44no—
359C4×Q8—68no—
360C4×Q8—64no—
361C4×D4—24no—
362C4×D4—24no—
363C4×D4—68no—
364#117—68no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—34no—
371C2×C4⋊C4—31no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—34no—
374C2×C4⋊C4—34no—
375C2×C4⋊C4—34no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—34no—
378C2×C4⋊C4—34no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—34no—
381C2×C4⋊C4—124no—
382C2×C4⋊C4C22×D311yescharacteristic
383C2×C4⋊C4C22×D311yescharacteristic
384C2×C4⋊C4C22×D312yes—
385C2×C4⋊C4C22×D312yes—
386C2×C4⋊C4C22×D312yes—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—32no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—34no—
392C2×C22⋊C4—34no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—32no—
395C2×C22⋊C4—32no—
396C2×C22⋊C4—32no—
397C2×C22⋊C4—34no—
398C2×C22⋊C4C22×D312yes—
399C2×C22⋊C4C22×D312yes—
400C2×C22⋊C4C22×D314yes—
401C2×C22⋊C4C22×D314yes—
402C2×C42—31no—
403C2×C42—32no—
404C2×C42—34no—
405C2×C42—32no—
406C2×C42—31no—
407C2×C42—31no—
408C2×C42—31no—
409C2×C42—31no—
410C2×C42—31no—
411C2×C42C22×D311yescharacteristic
412#95—32no—
413#95—32no—
414#95—32no—
415#95—32no—
416#95—32no—
417#95—32no—
418#95—32no—
419#95—34no—
420#95—34no—
421#95—34no—
422#95C22×D314yes—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3—22no—
427C23×C3—22no—
428C23×C3—22no—
429C23×C3—22no—
430C23×C3—22no—
431C23×C3—22no—
432C23×C3—22no—
433C23×C3—22no—
434C23×C3—22no—
435C23×C3—22no—
436C23×C3C22×D414yes—
437C23×C3C2511yescharacteristic
438C3×D4—28no—
439C3×D4—44no—
440C3×D4—88no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—24no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—22no—
447C2×C3×C4—24no—
448C2×C3×C4—24no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—48no—
453C2×C3×C4—48no—
454C2×C3×C4C22×D412yes—
455C2×C3×C4C2×#4112yes—
456C2×C3×C4C2×#4112yes—
457C2×C3×C4C2×#4112yes—
458C2×C3×C4H(5,𝔽2)12yes—
459C2×C3×C42−1+412yes—
460C2×C3×C42−1+412yes—
461C2×Dic3—22no—
462C2×Dic3—21no—
463C2×Dic3—21no—
464C2×Dic3—21no—
465C2×Dic3—21no—
466C2×Dic3—21no—
467C2×Dic3—21no—
468C2×Dic3—21no—
469C2×Dic3—21no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—24no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—24no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—88no—
484C2×Dic3C22×D414yes—
485C2×Dic3C22×D412yes—
486C2×Dic3C22×D412yes—
487C2×Dic3H(5,𝔽2)12yes—
488C2×Dic32−1+412yes—
489Dic6—28no—
490Dic6—88no—
491C24C23×D312yes—
492C24C23×D312yes—
493C2×Q8—34no—
494C2×Q8—68no—
495C2×Q8—62no—
496C2×Q8—62no—
497C2×Q8—124no—
498C2×Q8—124no—
499C2×D4—28no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4D3×D414yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—31no—
517C22×C4—32no—
518C22×C4—31no—
519C22×C4—32no—
520C22×C4—32no—
521C22×C4—32no—
522C22×C4—34no—
523C22×C4—68no—
524C22×C4—124no—
525C22×C4—124no—
526C22×C4C23×D312yes—
527C22×C4C23×D312yes—
528C22×C4C23×D314yes—
529C22×C4C23×D311yescharacteristic
530C22×C4C23×D311yescharacteristic
531C22×C4C23×D311yescharacteristic
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—42no—
537C4⋊C4—64no—
538C4⋊C4—64no—
539C4⋊C4—68no—
540C4⋊C4—68no—
541C4⋊C4—68no—
542C4⋊C4—68no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—62no—
546C4⋊C4—62no—
547C4⋊C4—64no—
548C4⋊C4—62no—
549C4⋊C4—124no—
550C4⋊C4—124no—
551C4⋊C4—124no—
552C4⋊C4—122no—
553C22⋊C4—28no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—38no—
557C22⋊C4—38no—
558C22⋊C4—44no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—68no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—64no—
566C22⋊C4—68no—
567C22⋊C4—124no—
568C42—34no—
569C42—68no—
570C42—62no—
571C42—62no—
572C42—64no—
573C42—64no—
574C42—62no—
575C42—62no—
576C42—62no—
577C42#23714yes—
578C22×C3—24no—
579C22×C3—24no—
580C22×C3—24no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3—42no—
588C22×C3—42no—
589C22×C3—42no—
590C22×C3—42no—
591C22×C3—42no—
592C22×C3C23×D411yescharacteristic
593C22×C3C22×#4111yescharacteristic
594C22×C3C2×H(5,𝔽2)11yescharacteristic
595C22×C3C2×H(5,𝔽2)11yescharacteristic
596C22×C3C2×2−1+411yescharacteristic
597C22×C3C2×2−1+411yescharacteristic
598C22×C3C2×2−1+411yescharacteristic
599C3×C4—22no—
600C3×C4—42no—
601C3×C4—42no—
602C3×C4—44no—
603C3×C4#54214yescomplemented
604C3×C4#54714yes—
605Dic3—24no—
606Dic3—22no—
607Dic3—22no—
608Dic3—22no—
609Dic3—22no—
610Dic3—44no—
611Dic3—42no—
612Dic3—42no—
613Dic3—42no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23C2×D3×D414yes—
628C23C24×D311yescharacteristic
629Q8—68no—
630Q8—248no—
631D4—28no—
632D4—44no—
633D4—88no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—32no—
646C2×C4—32no—
647C2×C4—34no—
648C2×C4—32no—
649C2×C4—32no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—62no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—62no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—64no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—64no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—64no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—248no—
675C2×C4C2×D3×D412yes—
676C2×C4C2×#23712yes—
677C2×C4C2×#23712yes—
678C2×C4C2×#23712yes—
679C2×C4#100412yes—
680C2×C4#101012yes—
681C2×C4#101012yes—
682C2×C3—44no—
683C2×C3—82no—
684C2×C3C2×#54211yescharacteristic
685C2×C3C2×#54711yescharacteristic
686C2×C3#349811yescharacteristic
687C2×C3#349911yescharacteristic
688C2×C3#351111yescharacteristic
689C2×C3#354411yescharacteristic
690C2×C3#355211yescharacteristic
691C22—24no—
692C22—24no—
693C22—24no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22C22×D3×D411yescharacteristic
706C22C22×#23711yescharacteristic
707C22C2×#100411yescharacteristic
708C22C2×#101011yescharacteristic
709C22C2×#101011yescharacteristic
710C22D3×H(5,𝔽2)11yescharacteristic
711C22D3×2−1+411yescharacteristic
712C4—22no—
713C4—44no—
714C4—42no—
715C4—42no—
716C4—62no—
717C4—62no—
718C4—64no—
719C4—62no—
720C4—62no—
721C4—122no—
722C4—124no—
723C4—122no—
724C4—122no—
725C4#560314yescomplemented
726C4#561114yes—
727C3#3937711yescharacteristic, complemented, Sylow
728C2—44no—
729C2—82no—
730C2C2×#560311yescharacteristic
731C2C2×#561111yescharacteristic
732C2#8636811yescharacteristic
733C2#8660811yescharacteristic
734C2#8667911yescharacteristic
735C2#8670911yescharacteristic
736C2#8697511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
Fitting, prime radicalC3×#2537C2
hypercenter#2537D3
hypocenterC3#39377
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2537

Complements

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

NH ≅ G/Ntype
1. C2×#5603C2semidirect
3. #82664C2semidirect
4. #82662C2semidirect
5. #82644C2semidirect
6. #82376C2semidirect
7. D4×C4⋊Dic3C2semidirect
8. C4×#936C2semidirect
9. #82319C2semidirect
10. #77039C2semidirect
11. #77002C2semidirect
12. #74356C2semidirect
13. #74323C2semidirect
14. #73954C2semidirect
15. #73923C2semidirect
16. #73899C2semidirect
17. #73894C2semidirect
136. #936D4semidirect
603. C3×C4#542semidirect
725. C4#5603semidirect
727. C3#39377semidirect

Maximal subgroups

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

subgroupindex
C2×#56032
C3×#25372
#826642
#826622
#826442
#823762
D4×C4⋊Dic32
C4×#9362
#823192
#770392
#770022
#743562
#743232
#739542
#739232
#738992
#738942
#393773