Finite Group Databasebeta

← #11069130

Subgroups — #11069130

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×#5582C212yesmaximal
2C3×#2365C211yesmaximal, characteristic, complemented
3#83269C211yesmaximal, characteristic, complemented
4#83240C211yesmaximal, characteristic, complemented
5#82470C212yesmaximal, complemented
6#76642C212yesmaximal, complemented
7#76505C212yesmaximal, complemented
8#76231C212yesmaximal, complemented
9#75998C212yesmaximal, complemented
10#75398C214yesmaximal, complemented
11#75395C214yesmaximal, complemented
12#73802C212yesmaximal, complemented
13#73792C212yesmaximal, complemented
14C4⋊C4×D12C211yesmaximal, characteristic, complemented
15C4×#895C211yesmaximal, characteristic
16#73753C211yesmaximal, characteristic, complemented
17#73715C211yesmaximal, characteristic, complemented
18#39350—31nomaximal, Sylow
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×C4×Q8C2212yes—
21C2×#947C2212yes—
22C2×#946C2212yes—
23#5582—216no—
24C2×#896C2214yes—
25C2×#895C2211yescharacteristic
26C2×#894C2214yes—
27C2×D3×C4⋊C4C2212yes—
28C2×#888C2212yes—
29C2×#876C2214yes—
30C2×#875C2214yes—
31C2×C4×D12C2211yescharacteristic
32C2×C4×D12C2212yes—
33C2×C4×D12C2212yes—
34C2×#872C2212yes—
35C2×C42×D3C2211yescharacteristic
36C2×#869C2212yes—
37C3×#391C2212yes—
38C3×#389C2212yes—
39C3×#387C2214yes—
40C3×C4×C4⋊C4C2211yescharacteristic
41C3×C4×C4⋊C4C2211yescharacteristic
42C3×C4×C4⋊C4C2212yes—
43#5229C2212yes—
44#5229C2212yes—
45#4992C2214yes—
46#4988C2211yescharacteristic
47#4987C2211yescharacteristic
48#4987C2211yescharacteristic
49#4987C2211yescharacteristic
50#4987C2212yes—
51#4987C2212yes—
52#4987C2212yes—
53#4987C2212yes—
54#4987C2212yes—
55#4984C2211yescharacteristic
56#4984C2212yes—
57#4982C2214yes—
58#4979C2214yes—
59#4975C2211yescharacteristic
60#4975C2211yescharacteristic
61#4972C2212yes—
62#4972C2212yes—
63C4×(C2×D3)⋊C4C2212yes—
64#4935C2211yescharacteristic
65C4×C4⋊Dic3C2211yescharacteristic
66#4933C2214yes—
67C4×Dic3⋊C4C2212yes—
68#4929C2214yes—
69#4928C2212yes—
70#4928C2212yes—
71#4675C2214yes—
72#4675C2214yes—
73#4674C2214yes—
74#4674C2214yes—
75#4670C2212yes—
76#4668C2214yes—
77#4668C2214yes—
78#4667C2212yes—
79#4665C2212yes—
80#4664C2214yes—
81#4658C2214yes—
82#4657C2214yes—
83#4656C2214yes—
84#4650C2212yes—
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#2365D311yescharacteristic, complemented
99D4×C4⋊C4—31no—
100C4×#121—31no—
101#2285—31no—
102C22×C3×Q8C2312yes—
103C22×D12C2311yescharacteristic
104C22×D12C2312yes—
105C22×C4×D3C2312yes—
106C22×C4×D3C2311yescharacteristic
107C22×C4×D3C2311yescharacteristic
108C22×C4×D3C2311yescharacteristic
109C22×C4×D3C2314yes—
110C22×Dic6C2314yes—
111C3×C4⋊Q8—24no—
112C3×C4×Q8—28no—
113C2×C3×C4⋊C4C2312yes—
114C2×C3×C4⋊C4C2312yes—
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C4⋊C4C2314yes—
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C4⋊C4C2311yescharacteristic
120C2×C3×C42C2312yes—
121C2×C3×C42C2312yes—
122C2×C3×C42C2314yes—
123C2×C3×C42C2311yescharacteristic
124#947—28no—
125#946—28no—
126C2×(C2×D3)⋊C4C2314yes—
127C2×(C2×D3)⋊C4C2312yes—
128C2×(C2×D3)⋊C4C2312yes—
129C2×(C2×D3)⋊C4C2312yes—
130C2×(C2×D3)⋊C4C2312yes—
131C2×(C2×D3)⋊C4C2314yes—
132C2×(C2×D3)⋊C4C2314yes—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2312yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×C4⋊Dic3C2311yescharacteristic
138C2×C4⋊Dic3C2311yescharacteristic
139C2×C4⋊Dic3C2312yes—
140C2×C4⋊Dic3C2312yes—
141C2×C4⋊Dic3C2311yescharacteristic
142C2×C4⋊Dic3C2312yes—
143C2×C4⋊Dic3C2314yes—
144C2×C4⋊Dic3C2312yes—
145C2×Dic3⋊C4C2312yes—
146C2×Dic3⋊C4C2312yes—
147C2×Dic3⋊C4C2314yes—
148C2×Dic3⋊C4C2314yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2312yes—
152C2×C4×Dic3C2311yescharacteristic
153C2×C4×Dic3C2311yescharacteristic
154C2×C4×Dic3C2312yes—
155C2×C4×Dic3C2311yescharacteristic
156#896—216no—
157#895D418yes—
158#894—216no—
159D3×C4⋊C4—44no—
160#888—28no—
161#876—216no—
162#875—216no—
163C4×D12—28no—
164C4×D12—24no—
165C4×D12—44no—
166#872—28no—
167C42×D3—24no—
168#869—44no—
169C3×#95C2312yes—
170C3×#95C2312yes—
171C3×#95C2314yes—
172C3×#95C2314yes—
173C3⋊#95C2312yes—
174C3⋊#95C2312yes—
175C3⋊#95C2312yes—
176C3⋊#95C2314yes—
177C3⋊#95C2312yes—
178C3⋊#95C2314yes—
179C3⋊#95C2314yes—
180C3⋊#95C2314yes—
181C3⋊#95C2314yes—
182C3⋊#95C2312yes—
183C3⋊#95C2314yes—
184#542—616no—
185C2×C4⋊Q8—32no—
186C2×C4⋊Q8—32no—
187C2×C4⋊Q8C2×D311yescharacteristic
188C2×#126—34no—
189C2×#124—32no—
190C2×#124—34no—
191C2×#123—34no—
192C2×C22⋊Q8—32no—
193C2×C22⋊Q8—34no—
194C2×#121—31no—
195C2×C4×Q8C2×D312yes—
196C2×C4×D4—32no—
197C2×C4×D4—31no—
198C2×C4×D4—32no—
199C2×#117—32no—
200C22×C4⋊C4—32no—
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—34no—
215#391C2×D312yes—
216#390—31no—
217#389—32no—
218#389—32no—
219#389—32no—
220#389—31no—
221#389—32no—
222#389—32no—
223#389C2×D312yes—
224#388—32no—
225#387—34no—
226#387C2×D314yes—
227#386—32no—
228#385—34no—
229#385—34no—
230#384—31no—
231#384—31no—
232#384—31no—
233#382—32no—
234#381—34no—
235#380—32no—
236#380—32no—
237#380—32no—
238#380—31no—
239#380—32no—
240#380—31no—
241#380—32no—
242#380—31no—
243#380—32no—
244C4×C4⋊C4—32no—
245C4×C4⋊C4—31no—
246C4×C4⋊C4C2×D311yescharacteristic
247C4×C4⋊C4C2×D312yes—
248C4×C4⋊C4C2×D311yescharacteristic
249C4×C22⋊C4—32no—
250C23×D3C2412yes—
251C23×D3C2411yescharacteristic
252C2×C3×Q8—24no—
253C2×C3×Q8—24no—
254C2×C3×Q8—24no—
255C22×C3×C4C2414yes—
256C22×C3×C4C2412yes—
257C22×C3×C4C2412yes—
258C22×C3×C4C2412yes—
259C22×C3×C4C2412yes—
260C22×C3×C4C2411yescharacteristic
261C22×C3×C4C2411yescharacteristic
262C22×C3×C4C2411yescharacteristic
263C22×Dic3C2411yescharacteristic
264C22×Dic3C2412yes—
265C22×Dic3C2412yes—
266C22×Dic3C2412yes—
267C22×Dic3C2414yes—
268C22×Dic3C2411yescharacteristic
269C22×Dic3C2411yescharacteristic
270C2×D12—22no—
271C2×D12—22no—
272C2×D12—42no—
273C2×D12—42no—
274C2×D12C2×D414yes—
275C2×D12C2×D418yes—
276C2×C4×D3—22no—
277C2×C4×D3—22no—
278C2×C4×D3—22no—
279C2×C4×D3—22no—
280C2×C4×D3—24no—
281C2×C4×D3—22no—
282C2×C4×D3—24no—
283C2×C4×D3—24no—
284C2×C4×D3—22no—
285C2×C4×D3—22no—
286C2×C4×D3—28no—
287C2×C4×D3—41no—
288C2×C4×D3—44no—
289C2×C4×D3—44no—
290C2×C4×D3C2×D414yes—
291C2×Dic6—28no—
292C2×Dic6—44no—
293C2×Dic6—44no—
294C3×C4⋊C4—28no—
295C3×C4⋊C4—24no—
296C3×C4⋊C4—24no—
297C3×C4⋊C4—22no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4—22no—
300C3×C4⋊C4C2×D414yes—
301C3×C42—24no—
302C3×C42—28no—
303C3×C42—24no—
304C3×C42#4114yes—
305(C2×D3)⋊C4—24no—
306(C2×D3)⋊C4—24no—
307(C2×D3)⋊C4—28no—
308(C2×D3)⋊C4—28no—
309(C2×D3)⋊C4—28no—
310(C2×D3)⋊C4—28no—
311(C2×D3)⋊C4—24no—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—42no—
314(C2×D3)⋊C4—42no—
315(C2×D3)⋊C4C2×D418yes—
316C4⋊Dic3—24no—
317C4⋊Dic3—22no—
318C4⋊Dic3—22no—
319C4⋊Dic3—24no—
320C4⋊Dic3—22no—
321C4⋊Dic3—44no—
322C4⋊Dic3—42no—
323C4⋊Dic3—42no—
324Dic3⋊C4—28no—
325Dic3⋊C4—24no—
326Dic3⋊C4—24no—
327Dic3⋊C4—28no—
328Dic3⋊C4—24no—
329Dic3⋊C4—44no—
330Dic3⋊C4—42no—
331C4×Dic3—24no—
332C4×Dic3—22no—
333C4×Dic3—22no—
334C4×Dic3—22no—
335C22×Q8—34no—
336C22×Q8C22×D312yes—
337C22×D4—31no—
338C22×D4—32no—
339C23×C4—31no—
340C23×C4—32no—
341C23×C4—31no—
342C23×C4—31no—
343C23×C4—34no—
344C4⋊Q8—24no—
345C4⋊Q8—68no—
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—28no—
355C4×D4—68no—
356C4×D4—64no—
357C4×D4—124no—
358#117—68no—
359C2×C4⋊C4—32no—
360C2×C4⋊C4—32no—
361C2×C4⋊C4—32no—
362C2×C4⋊C4—32no—
363C2×C4⋊C4—31no—
364C2×C4⋊C4—34no—
365C2×C4⋊C4—34no—
366C2×C4⋊C4—31no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—32no—
371C2×C4⋊C4—34no—
372C2×C4⋊C4—32no—
373C2×C4⋊C4—32no—
374C2×C4⋊C4—124no—
375C2×C4⋊C4C22×D311yescharacteristic
376C2×C4⋊C4C22×D314yes—
377C2×C4⋊C4C22×D312yes—
378C2×C4⋊C4C22×D312yes—
379C2×C4⋊C4C22×D311yescharacteristic
380C2×C4⋊C4C22×D311yescharacteristic
381C2×C4⋊C4C22×D311yescharacteristic
382C2×C22⋊C4—32no—
383C2×C22⋊C4—32no—
384C2×C22⋊C4—32no—
385C2×C22⋊C4—34no—
386C2×C22⋊C4—32no—
387C2×C22⋊C4—34no—
388C2×C22⋊C4—34no—
389C2×C22⋊C4—34no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—32no—
392C2×C22⋊C4—32no—
393C2×C42—32no—
394C2×C42—31no—
395C2×C42—31no—
396C2×C42—31no—
397C2×C42—64no—
398C2×C42C22×D312yes—
399C2×C42C22×D312yes—
400C2×C42C22×D314yes—
401C2×C42C22×D311yescharacteristic
402#95—32no—
403#95—32no—
404#95—32no—
405#95—32no—
406#95—32no—
407#95—34no—
408#95—34no—
409#95—34no—
410#95—34no—
411#95—34no—
412#95—34no—
413#95C22×D312yes—
414#95C22×D312yes—
415#95C22×D314yes—
416#95C22×D314yes—
417C23×C3C2511yescharacteristic
418C22×D3—22no—
419C22×D3—21no—
420C22×D3—21no—
421C22×D3—22no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—21no—
425C22×D3—21no—
426C22×D3—21no—
427C22×D3—22no—
428C22×D3—22no—
429C22×D3—21no—
430C22×D3C22×D412yes—
431C22×D3C22×D414yes—
432C3×Q8—48no—
433C2×C3×C4—22no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—24no—
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—22no—
447C2×C3×C4—24no—
448C2×C3×C4—22no—
449C2×C3×C4C22×D414yes—
450C2×C3×C4C22×D412yes—
451C2×C3×C4C2×#4112yes—
452C2×C3×C4C2×#4112yes—
453C2×C3×C4C2×#4112yes—
454C2×C3×C4H(5,𝔽2)12yes—
455C2×C3×C42−1+412yes—
456C2×C3×C42−1+412yes—
457C2×Dic3—21no—
458C2×Dic3—21no—
459C2×Dic3—21no—
460C2×Dic3—21no—
461C2×Dic3—22no—
462C2×Dic3—22no—
463C2×Dic3—24no—
464C2×Dic3—21no—
465C2×Dic3—22no—
466C2×Dic3—22no—
467C2×Dic3—24no—
468C2×Dic3—22no—
469C2×Dic3—21no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—21no—
473C2×Dic3—22no—
474C2×Dic3—22no—
475C2×Dic3—24no—
476C2×Dic3C22×D412yes—
477C2×Dic32−1+412yes—
478D12—28no—
479D12—48no—
480C4×D3—28no—
481C4×D3—44no—
482C4×D3—44no—
483C4×D3—48no—
484C4×D3—88no—
485Dic6—88no—
486C24—32no—
487C24—31no—
488C2×Q8—24no—
489C2×Q8—24no—
490C2×Q8—24no—
491C2×Q8—68no—
492C2×Q8—124no—
493C2×Q8—124no—
494C2×D4—34no—
495C2×D4—38no—
496C2×D4—62no—
497C2×D4—62no—
498C2×D4—122no—
499C2×D4—122no—
500C22×C4—31no—
501C22×C4—31no—
502C22×C4—34no—
503C22×C4—31no—
504C22×C4—32no—
505C22×C4—32no—
506C22×C4—32no—
507C22×C4—34no—
508C22×C4—62no—
509C22×C4—68no—
510C22×C4—62no—
511C22×C4—62no—
512C22×C4—62no—
513C22×C4—62no—
514C22×C4—64no—
515C22×C4—64no—
516C22×C4—62no—
517C22×C4—64no—
518C22×C4—62no—
519C22×C4—121no—
520C22×C4—124no—
521C22×C4—124no—
522C22×C4C23×D314yes—
523C22×C4C23×D312yes—
524C22×C4C23×D312yes—
525C22×C4C23×D312yes—
526C22×C4C23×D311yescharacteristic
527C22×C4C23×D312yes—
528C22×C4C23×D311yescharacteristic
529C22×C4C23×D311yescharacteristic
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—28no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—64no—
537C4⋊C4—64no—
538C4⋊C4—68no—
539C4⋊C4—64no—
540C4⋊C4—62no—
541C4⋊C4—64no—
542C4⋊C4—68no—
543C4⋊C4—62no—
544C4⋊C4—64no—
545C4⋊C4—62no—
546C4⋊C4—124no—
547C4⋊C4—122no—
548C4⋊C4—124no—
549C4⋊C4—122no—
550C4⋊C4—122no—
551C4⋊C4D3×D414yes—
552C22⋊C4—38no—
553C22⋊C4—64no—
554C22⋊C4—64no—
555C22⋊C4—64no—
556C22⋊C4—68no—
557C22⋊C4—68no—
558C22⋊C4—68no—
559C22⋊C4—68no—
560C22⋊C4—64no—
561C22⋊C4—122no—
562C22⋊C4—122no—
563C42—24no—
564C42—28no—
565C42—24no—
566C42—62no—
567C42—62no—
568C42—62no—
569C42—64no—
570C42#23514yes—
571C22×C3C23×D411yescharacteristic
572C22×C3C22×#4111yescharacteristic
573C22×C3C2×H(5,𝔽2)11yescharacteristic
574C22×C3C2×2−1+411yescharacteristic
575C22×C3C2×2−1+411yescharacteristic
576C22×C3C2×2−1+411yescharacteristic
577C22×C3#58511yescharacteristic
578C2×D3—22no—
579C2×D3—24no—
580C2×D3—24no—
581C2×D3—22no—
582C2×D3—24no—
583C2×D3—22no—
584C2×D3—42no—
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—42no—
588C2×D3—41no—
589C2×D3—42no—
590C2×D3—41no—
591C2×D3—42no—
592C3×C4—22no—
593C3×C4—24no—
594C3×C4—44no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4—42no—
598C3×C4#54214yescomplemented
599C3×C4#54714yes—
600Dic3—22no—
601Dic3—22no—
602Dic3—41no—
603Dic3—42no—
604Dic3—42no—
605Dic3—44no—
606Dic3—42no—
607C23—34no—
608C23—32no—
609C23—62no—
610C23—61no—
611C23—62no—
612C23—61no—
613C23—61no—
614C23—62no—
615C23—61no—
616C23—62no—
617C23—62no—
618C23—61no—
619C23—62no—
620C23—61no—
621C23C24×D311yescharacteristic
622Q8—48no—
623Q8—248no—
624D4—68no—
625D4—128no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—32no—
643C2×C4—32no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—68no—
649C2×C4—61no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—64no—
654C2×C4—62no—
655C2×C4—61no—
656C2×C4—62no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—64no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—64no—
663C2×C4—62no—
664C2×C4—124no—
665C2×C4—124no—
666C2×C4—128no—
667C2×C4—248no—
668C2×C4C2×#23512yes—
669C2×C4C2×#23512yes—
670C2×C4C2×#23512yes—
671C2×C4C2×D3×D414yes—
672C2×C4C2×D3×D412yes—
673C2×C4#100712yes—
674C2×C4#100912yes—
675C2×C4#101012yes—
676C2×C3C2×#54211yescharacteristic
677C2×C3C2×#54711yescharacteristic
678C2×C3#349511yescharacteristic
679C2×C3#349611yescharacteristic
680C2×C3#349911yescharacteristic
681C2×C3#355011yescharacteristic
682C2×C3#355511yescharacteristic
683D3—42no—
684D3—44no—
685C22—62no—
686C22—64no—
687C22—64no—
688C22—62no—
689C22—64no—
690C22—62no—
691C22—122no—
692C22—121no—
693C22—121no—
694C22—122no—
695C22—121no—
696C22—122no—
697C22—121no—
698C22—122no—
699C22C22×#23511yescharacteristic
700C22C22×D3×D411yescharacteristic
701C22C2×#100711yescharacteristic
702C22C2×#100911yescharacteristic
703C22C2×#101011yescharacteristic
704C22D3×2−1+411yescharacteristic
705C22#596811yescharacteristic
706C4—22no—
707C4—24no—
708C4—44no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—62no—
713C4—62no—
714C4—121no—
715C4—122no—
716C4—124no—
717C4—122no—
718C4—122no—
719C4#555114yes—
720C4#558214yescomplemented
721C3#3935011yescharacteristic, complemented, Sylow
722C2—122no—
723C2—124no—
724C2C2×#555111yescharacteristic
725C2C2×#558211yescharacteristic
726C2#8588211yescharacteristic
727C2#8670211yescharacteristic
728C2#8674611yescharacteristic
729C2#8699511yescharacteristic
730C2#8703611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2365C2
prime radicalC2×#895C22
hypercenter#2365D3
hypocenterC3#39350
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2365

Complements

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

NH ≅ G/Ntype
2. C3×#2365C2semidirect
3. #83269C2semidirect
4. #83240C2semidirect
5. #82470C2semidirect
6. #76642C2semidirect
7. #76505C2semidirect
8. #76231C2semidirect
9. #75998C2semidirect
10. #75398C2semidirect
11. #75395C2semidirect
12. #73802C2semidirect
13. #73792C2semidirect
14. C4⋊C4×D12C2semidirect
16. #73753C2semidirect
17. #73715C2semidirect
98. #2365D3semidirect
598. C3×C4#542semidirect
720. C4#5582semidirect
721. C3#39350semidirect

Maximal subgroups

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

subgroupindex
C2×#55822
C3×#23652
#832692
#832402
#824702
#766422
#765052
#762312
#759982
#753982
#753952
#738022
#737922
C4⋊C4×D122
C4×#8952
#737532
#737152
#393503