Finite Group Databasebeta

← #11058596

Subgroups — #11058596

Order 768.

2310 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5611C211yesmaximal, characteristic
2C22×#870C211yesmaximal, characteristic, complemented
3C3×#2854C211yesmaximal, characteristic, complemented
4#82842C212yesmaximal, complemented
5#82841C212yesmaximal, complemented
6#82665C211yesmaximal, characteristic, complemented
7C4×#929C211yesmaximal, characteristic, complemented
8#76450C212yesmaximal, complemented
9#76324C212yesmaximal, complemented
10#76062C212yesmaximal, complemented
11#76002C212yesmaximal, complemented
12#75674C214yesmaximal, complemented
13#75672C214yesmaximal, complemented
14#74782C212yesmaximal, complemented
15#74662C212yesmaximal, complemented
16#74028C211yesmaximal, characteristic, complemented
17#73878C211yesmaximal, characteristic, complemented
18#38907—31nomaximal, Sylow
19C22×#237C2212yes—
20C2×C3×#123C2212yes—
21C2×C3×#121C2211yescharacteristic
22C22×C3×C42C2211yescharacteristic
23C2×#938C2211yescharacteristic
24C2×#935C2212yes—
25C2×D4×Dic3C2211yescharacteristic
26C2×#929C2211yescharacteristic
27C2×C4×#67C2211yescharacteristic
28C22×C4⋊Dic3C2211yescharacteristic
29C22×C4⋊Dic3C2211yescharacteristic
30C22×Dic3⋊C4C2212yes—
31C22×Dic3⋊C4C2212yes—
32#5611—28no—
33C2×D3×C4⋊C4C2211yescharacteristic
34C2×#888C2211yescharacteristic
35C2×#883C2212yes—
36C2×#878C2212yes—
37C2×#877C2212yes—
38C2×#870—28no—
39C2×#870C2212yes—
40C2×#870C2212yes—
41C2×#870C2214yes—
42C3×#390C2212yes—
43C3×#389C2212yes—
44C3×#388C2214yes—
45C3×#386C2212yes—
46C3×#380C2211yescharacteristic
47#5221C2212yes—
48#5220C2212yes—
49#5220C2212yes—
50#5213C2211yescharacteristic
51#5211C2211yescharacteristic
52#5210C2211yescharacteristic
53C4×#217C2211yescharacteristic
54#4989C2214yes—
55#4987C2212yes—
56#4984C2212yes—
57#4983C2214yes—
58#4979C2214yes—
59#4977C2212yes—
60Dic3×C4⋊C4C2212yes—
61#4972C2214yes—
62#4972C2212yes—
63#4959C2214yes—
64#4958C2212yes—
65#4957C2214yes—
66#4953C2214yes—
67#4952C2214yes—
68#4950C2212yes—
69#4949C2214yes—
70#4948C2214yes—
71#4946C2214yes—
72#4944C2214yes—
73#4943C2212yes—
74#4942C2214yes—
75#4940C2212yes—
76C4×(C2×D3)⋊C4C2212yes—
77#4933C2212yes—
78C4×Dic3⋊C4C2212yes—
79#4677C2212yes—
80#4667C2214yes—
81#4659C2212yes—
82#4658C2214yes—
83#4657C2214yes—
84#4654C2214yes—
85#4646C2214yes—
86C2×#547—31no—
87C22×#125—31no—
88#2854D311yescharacteristic, complemented
89#2694—34no—
90#2690—34no—
91#2623—32no—
92#2550—32no—
93#2504—31no—
94#2490—32no—
95#2487—31no—
96#2454—32no—
97#2442—32no—
98#2413—32no—
99#2406—32no—
100#2344—31no—
101#2311—32no—
102C4×#123—31no—
103C22×C3×D4C2312yes—
104C22×C3×D4C2311yescharacteristic
105C23×C3×C4C2311yescharacteristic
106C23×C3×C4C2311yescharacteristic
107C23×C3×C4C2311yescharacteristic
108C22×#67C2312yes—
109C22×#67C2311yescharacteristic
110C23×Dic3C2312yes—
111C23×Dic3C2312yes—
112C23×Dic3C2312yes—
113C2×#237—28no—
114C2×#237—28no—
115C2×#237—44no—
116C22×C4×D3C2311yescharacteristic
117C22×C4×D3C2312yes—
118C22×Dic6C2312yes—
119C3×#123—44no—
120C3×#121—24no—
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C4⋊C4C2311yescharacteristic
123C2×C3×C4⋊C4C2314yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C22⋊C4C2312yes—
126C2×C3×C22⋊C4C2314yes—
127C2×C3×C22⋊C4C2314yes—
128C2×C3×C42—24no—
129C2×C3×C42C2312yes—
130C2×C3×C42C2312yes—
131C2×#217C2311yescharacteristic
132C2×#217C2312yes—
133C2×#217C2312yes—
134C2×#217C2311yescharacteristic
135C2×#217C2311yescharacteristic
136C2×#217C2314yes—
137C2×#217C2314yes—
138#938—24no—
139#935—28no—
140D4×Dic3—24no—
141#929—24no—
142C4×#67—24no—
143C2×(C2×D3)⋊C4C2311yescharacteristic
144C2×(C2×D3)⋊C4C2312yes—
145C2×(C2×D3)⋊C4C2312yes—
146C2×(C2×D3)⋊C4C2314yes—
147C2×C4⋊Dic3—24no—
148C2×C4⋊Dic3D418yes—
149C2×C4⋊Dic3C2312yes—
150C2×C4⋊Dic3C2312yes—
151C2×C4⋊Dic3C2314yes—
152C2×C4⋊Dic3C2312yes—
153C2×C4⋊Dic3C2311yescharacteristic
154C2×C4⋊Dic3C2311yescharacteristic
155C2×Dic3⋊C4—28no—
156C2×Dic3⋊C4—28no—
157C2×Dic3⋊C4C2314yes—
158C2×Dic3⋊C4C2312yes—
159C2×Dic3⋊C4C2312yes—
160C2×Dic3⋊C4C2314yes—
161C2×Dic3⋊C4C2311yescharacteristic
162C2×Dic3⋊C4C2312yes—
163C2×Dic3⋊C4C2314yes—
164C2×Dic3⋊C4C2314yes—
165C2×Dic3⋊C4C2314yes—
166C2×Dic3⋊C4C2312yes—
167C2×C4×Dic3C2311yescharacteristic
168C2×C4×Dic3C2312yes—
169C2×C4×Dic3C2314yes—
170D3×C4⋊C4—24no—
171#888—24no—
172#883—28no—
173#878—28no—
174#877—44no—
175#870—216no—
176#870—28no—
177#870—28no—
178C3×#95C2314yes—
179C3×#95C2312yes—
180C3⋊#95C2312yes—
181C3⋊#95C2314yes—
182C3⋊#95C2314yes—
183C3⋊#95C2312yes—
184C3⋊#95C2314yes—
185C3⋊#95C2314yes—
186C3⋊#95C2314yes—
187C3⋊#95C2312yes—
188C3⋊#95C2314yes—
189C3⋊#95C2312yes—
190C3⋊#95C2312yes—
191C22×#41—32no—
192#547—68no—
193C2×C4⋊Q8—31no—
194C2×#125—34no—
195C2×#125—32no—
196C2×#125—32no—
197C2×#125—68no—
198C2×#123—32no—
199C2×#123—31no—
200C2×#123—32no—
201C2×#123C2×D312yes—
202C2×C22⋊Q8—32no—
203C2×#121—31no—
204C2×#121C2×D311yescharacteristic
205C2×C4×D4—31no—
206C2×C4×D4—31no—
207C2×#117—32no—
208C22×C4⋊C4—31no—
209C22×C4⋊C4—32no—
210C22×C4⋊C4—32no—
211C22×C4⋊C4—31no—
212C22×C4⋊C4—31no—
213C22×C42C2×D311yescharacteristic
214#400—34no—
215#400—32no—
216#399—34no—
217#399—32no—
218#398—34no—
219#398—34no—
220#397—34no—
221#397—34no—
222#396—34no—
223#395—34no—
224#394—34no—
225#391—34no—
226#390—32no—
227#390—34no—
228#390C2×D312yes—
229#389—32no—
230#389—34no—
231#389—32no—
232#389C2×D312yes—
233#388—34no—
234#388—32no—
235#388C2×D314yes—
236#387—32no—
237#387—34no—
238#386—32no—
239#386—32no—
240#386—31no—
241#386—32no—
242#386C2×D312yes—
243#385—31no—
244#385—34no—
245#385—32no—
246#385—34no—
247#382—32no—
248#381—31no—
249#381—32no—
250#380—32no—
251#380—34no—
252#380—34no—
253#380C2×D311yescharacteristic
254C4×C4⋊C4—32no—
255C4×C4⋊C4—32no—
256C4×C22⋊C4—31no—
257C4×C22⋊C4—32no—
258C24×C3C2412yes—
259C24×C3C2411yescharacteristic
260C23×D3C2411yescharacteristic
261C2×C3×D4—24no—
262C2×C3×D4—24no—
263C2×C3×D4—24no—
264C2×C3×D4—22no—
265C2×C3×D4—24no—
266C22×C3×C4—24no—
267C22×C3×C4—22no—
268C22×C3×C4—22no—
269C22×C3×C4—22no—
270C22×C3×C4—22no—
271C22×C3×C4—42no—
272C22×C3×C4C2×D414yes—
273C22×C3×C4C2414yes—
274C22×C3×C4C2412yes—
275C22×C3×C4C2412yes—
276C22×C3×C4C2412yes—
277C22×C3×C4C2411yescharacteristic
278C22×C3×C4C2411yescharacteristic
279C2×#67—22no—
280C2×#67—22no—
281C2×#67—24no—
282C2×#67—24no—
283C2×#67—42no—
284C2×#67#4114yes—
285C22×Dic3—24no—
286C22×Dic3—24no—
287C22×Dic3—24no—
288C22×Dic3—24no—
289C22×Dic3—24no—
290C22×Dic3—42no—
291C22×Dic3—44no—
292C22×Dic3C2×D418yes—
293C22×Dic3C2412yes—
294C22×Dic3C2411yescharacteristic
295C22×Dic3C2412yes—
296C22×Dic3C2414yes—
297C22×Dic3C2411yescharacteristic
298C22×Dic3C2412yes—
299C22×Dic3C2412yes—
300C22×Dic3C2411yescharacteristic
301#237—432no—
302C2×C4×D3—24no—
303C2×C4×D3—22no—
304C2×C4×D3—24no—
305C2×C4×D3—24no—
306C2×C4×D3—42no—
307C2×Dic6—24no—
308C2×Dic6—24no—
309C2×Dic6—42no—
310C3×C4⋊C4—22no—
311C3×C4⋊C4—24no—
312C3×C4⋊C4—44no—
313C3×C22⋊C4—24no—
314C3×C22⋊C4—24no—
315C3×C22⋊C4—44no—
316C3×C22⋊C4—44no—
317C3×C42—24no—
318C3×C42—24no—
319#217—22no—
320#217—22no—
321#217—22no—
322#217—24no—
323#217—24no—
324#217—44no—
325#217—44no—
326(C2×D3)⋊C4—24no—
327(C2×D3)⋊C4—22no—
328(C2×D3)⋊C4—42no—
329(C2×D3)⋊C4—44no—
330C4⋊Dic3—24no—
331C4⋊Dic3—24no—
332C4⋊Dic3—44no—
333C4⋊Dic3C2×D418yes—
334C4⋊Dic3C2×D414yes—
335C4⋊Dic3C2×D414yes—
336Dic3⋊C4—22no—
337Dic3⋊C4—28no—
338Dic3⋊C4—28no—
339Dic3⋊C4—28no—
340Dic3⋊C4—28no—
341Dic3⋊C4—24no—
342Dic3⋊C4—24no—
343Dic3⋊C4—24no—
344Dic3⋊C4—44no—
345Dic3⋊C4—42no—
346C4×Dic3—22no—
347C4×Dic3—24no—
348C4×Dic3—44no—
349C2×#41—68no—
350C2×#41—68no—
351C2×#41—124no—
352C22×Q8—32no—
353C22×D4—31no—
354C22×D4—32no—
355C22×D4C22×D311yescharacteristic
356C22×D4C22×D312yes—
357C23×C4—32no—
358C23×C4—32no—
359C23×C4—32no—
360C23×C4—31no—
361C23×C4—32no—
362C23×C4C22×D311yescharacteristic
363C23×C4C22×D311yescharacteristic
364C23×C4C22×D311yescharacteristic
365C4⋊Q8—64no—
366#125—68no—
367#125—68no—
368#125—616no—
369#123—44no—
370#123—68no—
371#123—64no—
372#123—68no—
373C22⋊Q8—68no—
374#121—24no—
375#121—64no—
376C4×D4—64no—
377C4×D4—64no—
378#117—124no—
379C2×C4⋊C4—38no—
380C2×C4⋊C4—31no—
381C2×C4⋊C4—31no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—32no—
384C2×C4⋊C4—34no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—34no—
387C2×C4⋊C4—34no—
388C2×C4⋊C4—34no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—31no—
391C2×C4⋊C4—32no—
392C2×C4⋊C4—32no—
393C2×C4⋊C4—34no—
394C2×C4⋊C4—32no—
395C2×C4⋊C4—34no—
396C2×C4⋊C4—64no—
397C2×C4⋊C4—68no—
398C2×C4⋊C4—68no—
399C2×C4⋊C4—64no—
400C2×C4⋊C4C22×D311yescharacteristic
401C2×C4⋊C4C22×D312yes—
402C2×C4⋊C4C22×D314yes—
403C2×C22⋊C4—31no—
404C2×C22⋊C4—31no—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—32no—
407C2×C22⋊C4—31no—
408C2×C22⋊C4—31no—
409C2×C22⋊C4—32no—
410C2×C22⋊C4—34no—
411C2×C22⋊C4—34no—
412C2×C22⋊C4—32no—
413C2×C22⋊C4—34no—
414C2×C22⋊C4C22×D312yes—
415C2×C22⋊C4C22×D312yes—
416C2×C22⋊C4C22×D314yes—
417C2×C22⋊C4C22×D314yes—
418C2×C42—24no—
419C2×C42—31no—
420C2×C42—32no—
421C2×C42—34no—
422C2×C42C22×D312yes—
423C2×C42C22×D312yes—
424#95—32no—
425#95—32no—
426#95—32no—
427#95—32no—
428#95—34no—
429#95—32no—
430#95—34no—
431#95—34no—
432#95—34no—
433#95—34no—
434#95—34no—
435#95C22×D314yes—
436#95C22×D312yes—
437C23×C3—22no—
438C23×C3—22no—
439C23×C3—22no—
440C23×C3—22no—
441C23×C3—22no—
442C23×C3—24no—
443C23×C3—24no—
444C23×C3C22×D412yes—
445C23×C3C2×#4112yes—
446C23×C3H(5,𝔽2)12yes—
447C23×C3C2511yescharacteristic
448C22×D3—21no—
449C22×D3—21no—
450C22×D3—22no—
451C22×D3—22no—
452C22×D3C2×#4112yes—
453C3×D4—48no—
454C3×D4—44no—
455C2×C3×C4—22no—
456C2×C3×C4—28no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—24no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—24no—
466C2×C3×C4—22no—
467C2×C3×C4—24no—
468C2×C3×C4—22no—
469C2×C3×C4—44no—
470C2×C3×C4—44no—
471C2×C3×C4C22×D412yes—
472C2×C3×C4C22×D412yes—
473C2×C3×C42−1+414yes—
474#67—28no—
475#67—48no—
476C2×Dic3—216no—
477C2×Dic3—21no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—21no—
483C2×Dic3—21no—
484C2×Dic3—24no—
485C2×Dic3—21no—
486C2×Dic3—22no—
487C2×Dic3—22no—
488C2×Dic3—22no—
489C2×Dic3—22no—
490C2×Dic3—22no—
491C2×Dic3—22no—
492C2×Dic3—22no—
493C2×Dic3—24no—
494C2×Dic3—22no—
495C2×Dic3—24no—
496C2×Dic3—48no—
497C2×Dic3—48no—
498C2×Dic3C22×D414yes—
499C2×Dic3C22×D414yes—
500C2×Dic3C2×#4112yes—
501C4×D3—48no—
502C4×D3—44no—
503Dic6—48no—
504C24—31no—
505C24C23×D312yes—
506C24C23×D311yescharacteristic
507#41—1232no—
508C2×Q8—64no—
509C2×Q8—64no—
510C2×Q8—122no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—24no—
514C2×D4—22no—
515C2×D4—24no—
516C2×D4—34no—
517C2×D4—64no—
518C2×D4—62no—
519C2×D4—62no—
520C2×D4—64no—
521C2×D4—122no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—38no—
528C22×C4—31no—
529C22×C4—32no—
530C22×C4—32no—
531C22×C4—32no—
532C22×C4—31no—
533C22×C4—32no—
534C22×C4—34no—
535C22×C4—31no—
536C22×C4—42no—
537C22×C4—64no—
538C22×C4—64no—
539C22×C4—64no—
540C22×C4—64no—
541C22×C4—64no—
542C22×C4—64no—
543C22×C4—64no—
544C22×C4—62no—
545C22×C4—64no—
546C22×C4—122no—
547C22×C4—122no—
548C22×C4—124no—
549C22×C4D3×D414yes—
550C22×C4C23×D314yes—
551C22×C4C23×D312yes—
552C22×C4C23×D312yes—
553C22×C4C23×D312yes—
554C22×C4C23×D311yescharacteristic
555C22×C4C23×D311yescharacteristic
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—34no—
559C4⋊C4—34no—
560C4⋊C4—38no—
561C4⋊C4—44no—
562C4⋊C4—64no—
563C4⋊C4—68no—
564C4⋊C4—68no—
565C4⋊C4—68no—
566C4⋊C4—68no—
567C4⋊C4—64no—
568C4⋊C4—64no—
569C4⋊C4—64no—
570C4⋊C4—64no—
571C4⋊C4—62no—
572C4⋊C4—124no—
573C4⋊C4—122no—
574C4⋊C4—124no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—64no—
580C22⋊C4—64no—
581C22⋊C4—64no—
582C22⋊C4—62no—
583C22⋊C4—62no—
584C22⋊C4—62no—
585C22⋊C4—62no—
586C22⋊C4—124no—
587C22⋊C4—122no—
588C22⋊C4—124no—
589C22⋊C4—124no—
590C42—24no—
591C42—24no—
592C42—62no—
593C42—64no—
594C42—124no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—24no—
598C22×C3—24no—
599C22×C3—42no—
600C22×C3—42no—
601C22×C3—42no—
602C22×C3—44no—
603C22×C3—44no—
604C22×C3#54614yes—
605C22×C3C23×D411yescharacteristic
606C22×C3C22×#4111yescharacteristic
607C22×C3C2×H(5,𝔽2)11yescharacteristic
608C22×C3C2×2−1+412yes—
609C22×C3#58512yes—
610C2×D3—22no—
611C2×D3—24no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—42no—
615C3×C4—22no—
616C3×C4—42no—
617C3×C4—42no—
618C3×C4—42no—
619C3×C4—44no—
620C3×C4#53614yes—
621Dic3—22no—
622Dic3—24no—
623Dic3—24no—
624Dic3—41no—
625Dic3—41no—
626Dic3—44no—
627Dic3—42no—
628Dic3—42no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—24no—
635C23—24no—
636C23—32no—
637C23—61no—
638C23—61no—
639C23—62no—
640C23—62no—
641C23C2×D3×D412yes—
642C23#100412yes—
643C23D3×#4112yes—
644C23C24×D311yescharacteristic
645Q8—128no—
646D4—48no—
647D4—44no—
648D4—68no—
649D4—128no—
650C2×C4—22no—
651C2×C4—28no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—34no—
665C2×C4—34no—
666C2×C4—32no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—61no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—61no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—616no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—64no—
679C2×C4—62no—
680C2×C4—62no—
681C2×C4—62no—
682C2×C4—62no—
683C2×C4—62no—
684C2×C4—62no—
685C2×C4—62no—
686C2×C4—64no—
687C2×C4—64no—
688C2×C4—62no—
689C2×C4—128no—
690C2×C4—128no—
691C2×C4—128no—
692C2×C4—124no—
693C2×C4C2×D3×D412yes—
694C2×C4C2×D3×D412yes—
695C2×C4#101014yes—
696C2×C3—24no—
697C2×C3—82no—
698C2×C3C2×#53611yescharacteristic
699C2×C3C2×#54611yescharacteristic
700C2×C3#348711yescharacteristic
701C2×C3#351512yes—
702C2×C3#355912yes—
703D3—42no—
704C22—22no—
705C22—24no—
706C22—24no—
707C22—22no—
708C22—42no—
709C22—44no—
710C22—42no—
711C22—44no—
712C22—42no—
713C22—64no—
714C22—62no—
715C22—121no—
716C22—122no—
717C22—121no—
718C22#561214yes—
719C22C22×D3×D411yescharacteristic
720C22C2×#100411yescharacteristic
721C22C2×D3×#4111yescharacteristic
722C22C2×#101012yes—
723C22#596412yes—
724C4—22no—
725C4—42no—
726C4—42no—
727C4—42no—
728C4—44no—
729C4—64no—
730C4—64no—
731C4—62no—
732C4—124no—
733C4—121no—
734C4—122no—
735C4—122no—
736C4—121no—
737C4#564814yes—
738C3#3890711yescharacteristic, complemented, Sylow
739C2—24no—
740C2—82no—
741C2—122no—
742C2C2×#561211yescharacteristic
743C2C2×#564811yescharacteristic
744C2#8602311yescharacteristic
745C2#8616412yes—
746C2#8623312yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2854C2
prime radicalC2×#5611C2
hypercenter#2854D3
hypocenterC3#38907
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
2. C22×#870C2semidirect
3. C3×#2854C2semidirect
4. #82842C2semidirect
5. #82841C2semidirect
6. #82665C2semidirect
7. C4×#929C2semidirect
8. #76450C2semidirect
9. #76324C2semidirect
10. #76062C2semidirect
11. #76002C2semidirect
12. #75674C2semidirect
13. #75672C2semidirect
14. #74782C2semidirect
15. #74662C2semidirect
16. #74028C2semidirect
17. #73878C2semidirect
88. #2854D3semidirect
738. C3#38907semidirect

Maximal subgroups

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

subgroupindex
C2×#56112
C22×#8702
C3×#28542
#828422
#828412
#826652
C4×#9292
#764502
#763242
#760622
#760022
#756742
#756722
#747822
#746622
#740282
#738782
#389073