Finite Group Databasebeta

← #11069120

Subgroups — #11069120

Order 768.

2148 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×#5561C212yesmaximal
2C3×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3C4×#938C211yesmaximal, characteristic
4#82382C211yesmaximal, characteristic, complemented
5#82359C212yesmaximal, complemented
6#82196C212yesmaximal, complemented
7#82171C212yesmaximal, complemented
8#76102C212yesmaximal, complemented
9#76008C212yesmaximal, complemented
10#74640C214yesmaximal, complemented
11#74521C214yesmaximal, complemented
12#74376C211yesmaximal, characteristic, complemented
13#74335C211yesmaximal, characteristic, complemented
14#73937C212yesmaximal, complemented
15#73923C212yesmaximal, complemented
16#73753C211yesmaximal, characteristic, complemented
17#73651C211yesmaximal, characteristic, complemented
18#39350—31nomaximal, Sylow
19C2×C3×C4×D4C2212yes—
20C2×C3×C4×D4C2211yescharacteristic
21C22×C3×C4⋊C4C2212yes—
22C2×#938C2211yescharacteristic
23C2×#936C2212yes—
24C2×#929C2214yes—
25C2×C4×#67C2212yes—
26C2×#924C2214yes—
27#5561—216no—
28C2×#897C2212yes—
29C2×#888C2212yes—
30C2×#888C2212yes—
31C2×#885C2214yes—
32C2×#879C2214yes—
33C2×#872C2212yes—
34C2×C42×D3C2211yescharacteristic
35C2×#869C2211yescharacteristic
36C2×C4×Dic6C2212yes—
37C3×#389C2212yes—
38C3×#385C2214yes—
39C3×#384C2211yescharacteristic
40C3×#380C2212yes—
41C3×C4×C4⋊C4C2211yescharacteristic
42#5221C2211yescharacteristic
43#5212C2212yes—
44#5212C2212yes—
45#5211C2214yes—
46#5210C2214yes—
47C4×#217C2212yes—
48#4992C2214yes—
49#4987C2211yescharacteristic
50#4987C2212yes—
51#4987C2211yescharacteristic
52#4987C2211yescharacteristic
53#4987C2212yes—
54#4984C2212yes—
55#4984C2212yes—
56#4983C2214yes—
57#4982C2214yes—
58#4979C2214yes—
59#4979C2214yes—
60#4975C2211yescharacteristic
61#4975C2211yescharacteristic
62Dic3×C4⋊C4C2212yes—
63#4973C2212yes—
64#4973C2212yes—
65#4972C2212yes—
66#4972C2212yes—
67#4972C2212yes—
68#4972C2211yescharacteristic
69#4956C2212yes—
70#4953C2214yes—
71#4952C2214yes—
72#4952C2214yes—
73#4944C2212yes—
74C4×C4⋊Dic3C2211yescharacteristic
75C4×C4⋊Dic3C2211yescharacteristic
76C4×Dic3⋊C4C2212yes—
77#4929C2212yes—
78#4675C2214yes—
79#4667C2212yes—
80#4660C2214yes—
81#4654C2214yes—
82#4652C2214yes—
83#4650C2212yes—
84#4646C2214yes—
85C2×#542—32no—
86#2857—31no—
87#2717—34no—
88#2698—34no—
89#2625—32no—
90#2551—31no—
91#2547—32no—
92#2547—31no—
93#2496—32no—
94#2486—32no—
95#2451—32no—
96#2447—32no—
97#2440—32no—
98#2365—31no—
99D4×C4⋊C4D311yescharacteristic, complemented
100C4×#121—31no—
101#2285—31no—
102C22×C3×D4C2311yescharacteristic
103C23×C3×C4C2312yes—
104C23×C3×C4C2314yes—
105C22×#67C2312yes—
106C22×C4×D3C2311yescharacteristic
107C22×C4×D3C2311yescharacteristic
108C22×C4×D3C2311yescharacteristic
109C22×Dic6C2312yes—
110C22×Dic6C2314yes—
111C3×C4×D4—28no—
112C3×C4×D4—24no—
113C2×C3×C4⋊C4—44no—
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2312yes—
117C2×C3×C4⋊C4C2312yes—
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C42C2312yes—
124C2×C3×C42C2311yescharacteristic
125C2×#217C2312yes—
126C2×#217C2314yes—
127C2×#217C2314yes—
128C2×#217C2312yes—
129C2×#217C2312yes—
130#938D418yes—
131#936—28no—
132#929—216no—
133C4×#67—44no—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2314yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×C4⋊Dic3C2312yes—
139C2×C4⋊Dic3C2314yes—
140C2×C4⋊Dic3C2311yescharacteristic
141C2×C4⋊Dic3C2311yescharacteristic
142C2×C4⋊Dic3C2311yescharacteristic
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2311yescharacteristic
145#924—216no—
146C2×Dic3⋊C4C2312yes—
147C2×Dic3⋊C4C2312yes—
148C2×Dic3⋊C4C2312yes—
149C2×Dic3⋊C4C2314yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2312yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2314yes—
154C2×C4×Dic3C2314yes—
155C2×C4×Dic3C2311yescharacteristic
156C2×C4×Dic3C2311yescharacteristic
157C2×C4×Dic3C2312yes—
158C2×C4×Dic3C2312yes—
159C2×C4×Dic3C2311yescharacteristic
160#897—28no—
161#888—28no—
162#888—44no—
163#885—216no—
164#879—216no—
165#872—28no—
166C42×D3—24no—
167#869—24no—
168C4×Dic6—28no—
169C3×#95C2314yes—
170C3×#95C2312yes—
171C3⋊#95C2312yes—
172C3⋊#95C2314yes—
173C3⋊#95C2314yes—
174C3⋊#95C2312yes—
175C3⋊#95C2312yes—
176C3⋊#95C2312yes—
177C3⋊#95C2314yes—
178C3⋊#95C2314yes—
179C3⋊#95C2312yes—
180C3⋊#95C2314yes—
181C3⋊#95C2314yes—
182C3⋊#95C2312yes—
183C3⋊#95C2314yes—
184#542—616no—
185C2×C4⋊Q8—32no—
186C2×C4⋊Q8—32no—
187C2×C4⋊Q8—31no—
188C2×#126—34no—
189C2×#124—32no—
190C2×#124—34no—
191C2×#123—34no—
192C2×C22⋊Q8—34no—
193C2×C22⋊Q8—32no—
194C2×#121—31no—
195C2×C4×Q8—32no—
196C2×C4×D4—32no—
197C2×C4×D4C2×D312yes—
198C2×C4×D4C2×D311yescharacteristic
199C2×#117—32no—
200C22×C4⋊C4C2×D312yes—
201C22×C42—31no—
202#400—34no—
203#398—34no—
204#398—34no—
205#397—34no—
206#397—34no—
207#397—34no—
208#397—34no—
209#397—34no—
210#395—34no—
211#395—34no—
212#391—32no—
213#391—32no—
214#391—32no—
215#391—34no—
216#390—31no—
217#389—32no—
218#389—32no—
219#389—32no—
220#389—32no—
221#389—31no—
222#389—32no—
223#389C2×D312yes—
224#388—32no—
225#387—34no—
226#387—34no—
227#386—32no—
228#385—34no—
229#385C2×D314yes—
230#384—31no—
231#384—31no—
232#384C2×D311yescharacteristic
233#382—32no—
234#381—34no—
235#380—32no—
236#380—32no—
237#380—32no—
238#380—32no—
239#380—31no—
240#380—31no—
241#380—31no—
242#380—32no—
243#380C2×D312yes—
244C4×C4⋊C4—32no—
245C4×C4⋊C4—31no—
246C4×C4⋊C4—32no—
247C4×C4⋊C4—31no—
248C4×C4⋊C4C2×D311yescharacteristic
249C4×C22⋊C4—32no—
250C24×C3C2412yes—
251C23×D3C2411yescharacteristic
252C2×C3×D4—22no—
253C2×C3×D4—22no—
254C2×C3×D4C2×D414yes—
255C22×C3×C4—28no—
256C22×C3×C4—24no—
257C22×C3×C4—24no—
258C22×C3×C4—24no—
259C22×C3×C4—44no—
260C22×C3×C4—44no—
261C22×C3×C4C2412yes—
262C22×C3×C4C2412yes—
263C22×C3×C4C2412yes—
264C22×C3×C4C2414yes—
265C22×C3×C4C2411yescharacteristic
266C22×C3×C4C2411yescharacteristic
267C22×C3×C4C2411yescharacteristic
268C2×#67—42no—
269C2×#67—42no—
270C2×#67C2×D418yes—
271C22×Dic3C2411yescharacteristic
272C22×Dic3C2412yes—
273C22×Dic3C2412yes—
274C22×Dic3C2414yes—
275C22×Dic3C2412yes—
276C22×Dic3C2412yes—
277C22×Dic3C2411yescharacteristic
278C22×Dic3C2411yescharacteristic
279C2×C4×D3—22no—
280C2×C4×D3—22no—
281C2×C4×D3—22no—
282C2×C4×D3—22no—
283C2×C4×D3—22no—
284C2×C4×D3—22no—
285C2×C4×D3—22no—
286C2×C4×D3—41no—
287C2×C4×D3C2×D414yes—
288C2×Dic6—24no—
289C2×Dic6—24no—
290C2×Dic6—24no—
291C2×Dic6—28no—
292C2×Dic6—44no—
293C2×Dic6—44no—
294C3×C4⋊C4—24no—
295C3×C4⋊C4—22no—
296C3×C4⋊C4—24no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4—44no—
300C3×C4⋊C4—42no—
301C3×C22⋊C4—28no—
302C3×C22⋊C4—24no—
303C3×C42—24no—
304C3×C42#4114yes—
305#217—28no—
306#217—28no—
307#217—24no—
308#217—42no—
309#217C2×D418yes—
310(C2×D3)⋊C4—24no—
311(C2×D3)⋊C4—24no—
312(C2×D3)⋊C4—28no—
313(C2×D3)⋊C4—42no—
314C4⋊Dic3—24no—
315C4⋊Dic3—24no—
316C4⋊Dic3—22no—
317C4⋊Dic3—22no—
318C4⋊Dic3—22no—
319C4⋊Dic3—28no—
320C4⋊Dic3C2×D414yes—
321Dic3⋊C4—28no—
322Dic3⋊C4—24no—
323Dic3⋊C4—24no—
324Dic3⋊C4—28no—
325Dic3⋊C4—24no—
326Dic3⋊C4—44no—
327Dic3⋊C4—42no—
328Dic3⋊C4—42no—
329C4×Dic3—24no—
330C4×Dic3—22no—
331C4×Dic3—22no—
332C4×Dic3—22no—
333C4×Dic3—24no—
334C4×Dic3—28no—
335C22×Q8—32no—
336C22×Q8—34no—
337C22×D4—32no—
338C22×D4C22×D311yescharacteristic
339C23×C4—31no—
340C23×C4—31no—
341C23×C4—31no—
342C23×C4C22×D312yes—
343C23×C4C22×D314yes—
344C4⋊Q8—68no—
345C4⋊Q8—64no—
346C4⋊Q8—124no—
347#126—616no—
348#124—616no—
349#124—68no—
350#123—616no—
351C22⋊Q8—616no—
352C22⋊Q8—68no—
353#121—38no—
354C4×Q8—68no—
355C4×D4—28no—
356C4×D4—24no—
357C4×D4—124no—
358#117—68no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—32no—
361C2×C4⋊C4—32no—
362C2×C4⋊C4—34no—
363C2×C4⋊C4—34no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—32no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—31no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—31no—
371C2×C4⋊C4—32no—
372C2×C4⋊C4—34no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4—44no—
375C2×C4⋊C4C22×D311yescharacteristic
376C2×C4⋊C4C22×D312yes—
377C2×C4⋊C4C22×D312yes—
378C2×C4⋊C4C22×D311yescharacteristic
379C2×C4⋊C4C22×D311yescharacteristic
380C2×C4⋊C4C22×D314yes—
381C2×C4⋊C4C22×D312yes—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—34no—
384C2×C22⋊C4—34no—
385C2×C22⋊C4—32no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—32no—
388C2×C22⋊C4—34no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4C22×D314yes—
392C2×C22⋊C4C22×D312yes—
393C2×C42—32no—
394C2×C42—32no—
395C2×C42—34no—
396C2×C42—31no—
397C2×C42—31no—
398C2×C42—31no—
399C2×C42—64no—
400C2×C42C22×D312yes—
401C2×C42C22×D311yescharacteristic
402#95—32no—
403#95—32no—
404#95—32no—
405#95—32no—
406#95—32no—
407#95—32no—
408#95—34no—
409#95—34no—
410#95—34no—
411#95—34no—
412#95—34no—
413#95—34no—
414#95—34no—
415#95C22×D312yes—
416#95C22×D314yes—
417C23×C3—22no—
418C23×C3—22no—
419C23×C3—22no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3C22×D414yes—
424C23×C3C2511yescharacteristic
425C22×D3—21no—
426C22×D3—21no—
427C22×D3—21no—
428C22×D3—21no—
429C22×D3—21no—
430C22×D3—21no—
431C22×D3C22×D412yes—
432C3×D4—28no—
433C2×C3×C4—21no—
434C2×C3×C4—21no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—24no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—24no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—24no—
447C2×C3×C4—48no—
448C2×C3×C4—88no—
449C2×C3×C4C22×D412yes—
450C2×C3×C4C2×#4112yes—
451C2×C3×C4C2×#4112yes—
452C2×C3×C4C2×#4112yes—
453C2×C3×C4H(5,𝔽2)12yes—
454C2×C3×C42−1+412yes—
455C2×C3×C42−1+412yes—
456#67—48no—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—22no—
460C2×Dic3—21no—
461C2×Dic3—21no—
462C2×Dic3—22no—
463C2×Dic3—22no—
464C2×Dic3—24no—
465C2×Dic3—22no—
466C2×Dic3—21no—
467C2×Dic3—24no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—21no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3—21no—
477C2×Dic3—22no—
478C2×Dic3C22×D414yes—
479C2×Dic3C22×D412yes—
480C2×Dic32−1+412yes—
481C4×D3—28no—
482C4×D3—44no—
483C4×D3—44no—
484Dic6—48no—
485Dic6—88no—
486C24—31no—
487C24C23×D312yes—
488C2×Q8—68no—
489C2×Q8—64no—
490C2×Q8—64no—
491C2×Q8—64no—
492C2×Q8—124no—
493C2×Q8—124no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—38no—
497C2×D4—122no—
498C2×D4—122no—
499C2×D4D3×D414yes—
500C22×C4—28no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—31no—
505C22×C4—32no—
506C22×C4—31no—
507C22×C4—34no—
508C22×C4—31no—
509C22×C4—32no—
510C22×C4—32no—
511C22×C4—34no—
512C22×C4—32no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—62no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—62no—
520C22×C4—62no—
521C22×C4—62no—
522C22×C4—121no—
523C22×C4C23×D312yes—
524C22×C4C23×D312yes—
525C22×C4C23×D312yes—
526C22×C4C23×D314yes—
527C22×C4C23×D311yescharacteristic
528C22×C4C23×D311yescharacteristic
529C22×C4C23×D311yescharacteristic
530C4⋊C4—22no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—34no—
536C4⋊C4—44no—
537C4⋊C4—42no—
538C4⋊C4—64no—
539C4⋊C4—64no—
540C4⋊C4—68no—
541C4⋊C4—68no—
542C4⋊C4—68no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—64no—
546C4⋊C4—62no—
547C4⋊C4—62no—
548C4⋊C4—62no—
549C4⋊C4—122no—
550C4⋊C4—124no—
551C4⋊C4—122no—
552C22⋊C4—28no—
553C22⋊C4—24no—
554C22⋊C4—38no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—68no—
558C22⋊C4—64no—
559C22⋊C4—68no—
560C22⋊C4—68no—
561C22⋊C4—122no—
562C22⋊C4—122no—
563C42—24no—
564C42—68no—
565C42—62no—
566C42—62no—
567C42—62no—
568C42—64no—
569C42—64no—
570C42#23514yes—
571C22×C3—24no—
572C22×C3—24no—
573C22×C3—24no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—42no—
578C22×C3C23×D411yescharacteristic
579C22×C3C22×#4111yescharacteristic
580C22×C3C2×H(5,𝔽2)11yescharacteristic
581C22×C3C2×2−1+411yescharacteristic
582C22×C3C2×2−1+411yescharacteristic
583C22×C3C2×2−1+411yescharacteristic
584C22×C3#58511yescharacteristic
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—22no—
588C2×D3—41no—
589C2×D3—41no—
590C2×D3—41no—
591C2×D3—41no—
592C3×C4—22no—
593C3×C4—42no—
594C3×C4—44no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4#54214yescomplemented
598C3×C4#54714yes—
599Dic3—22no—
600Dic3—22no—
601Dic3—24no—
602Dic3—41no—
603Dic3—44no—
604Dic3—42no—
605Dic3—42no—
606Dic3—42no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—32no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—61no—
618C23—61no—
619C23—61no—
620C23C2×D3×D414yes—
621C23C24×D311yescharacteristic
622Q8—128no—
623Q8—248no—
624D4—28no—
625D4—128no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—34no—
641C2×C4—32no—
642C2×C4—32no—
643C2×C4—48no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—62no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—62no—
650C2×C4—68no—
651C2×C4—61no—
652C2×C4—64no—
653C2×C4—62no—
654C2×C4—64no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—64no—
661C2×C4—62no—
662C2×C4—61no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—88no—
667C2×C4—124no—
668C2×C4—124no—
669C2×C4C2×#23512yes—
670C2×C4C2×#23512yes—
671C2×C4C2×#23512yes—
672C2×C4C2×D3×D412yes—
673C2×C4#100412yes—
674C2×C4#100712yes—
675C2×C4#101012yes—
676C2×C3—44no—
677C2×C3C2×#54211yescharacteristic
678C2×C3C2×#54711yescharacteristic
679C2×C3#349511yescharacteristic
680C2×C3#349611yescharacteristic
681C2×C3#349911yescharacteristic
682C2×C3#355011yescharacteristic
683C2×C3#355511yescharacteristic
684D3—42no—
685C22—24no—
686C22—24no—
687C22—24no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—62no—
693C22—62no—
694C22—62no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22—121no—
699C22C22×#23511yescharacteristic
700C22C22×D3×D411yescharacteristic
701C22C2×#100411yescharacteristic
702C22C2×#100711yescharacteristic
703C22C2×#101011yescharacteristic
704C22#596611yescharacteristic
705C22D3×2−1+411yescharacteristic
706C4—22no—
707C4—42no—
708C4—42no—
709C4—44no—
710C4—42no—
711C4—64no—
712C4—62no—
713C4—62no—
714C4—121no—
715C4—122no—
716C4—122no—
717C4—124no—
718C4—122no—
719C4#550714yes—
720C4#556114yescomplemented
721C3#3935011yescharacteristic, complemented, Sylow
722C2—44no—
723C2—122no—
724C2C2×#550711yescharacteristic
725C2C2×#556111yescharacteristic
726C2#8590411yescharacteristic
727C2#8662111yescharacteristic
728C2#8667911yescharacteristic
729C2#8675511yescharacteristic
730C2#8695611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×D4×C4⋊C4C2
prime radicalC2×#938C22
hypercenterD4×C4⋊C4D3
hypocenterC3#39350
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C3×D4×C4⋊C4C2semidirect
4. #82382C2semidirect
5. #82359C2semidirect
6. #82196C2semidirect
7. #82171C2semidirect
8. #76102C2semidirect
9. #76008C2semidirect
10. #74640C2semidirect
11. #74521C2semidirect
12. #74376C2semidirect
13. #74335C2semidirect
14. #73937C2semidirect
15. #73923C2semidirect
16. #73753C2semidirect
17. #73651C2semidirect
99. D4×C4⋊C4D3semidirect
597. C3×C4#542semidirect
720. C4#5561semidirect
721. C3#39350semidirect

Maximal subgroups

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

subgroupindex
C2×#55612
C3×D4×C4⋊C42
C4×#9382
#823822
#823592
#821962
#821712
#761022
#760082
#746402
#745212
#743762
#743352
#739372
#739232
#737532
#736512
#393503