Finite Group Databasebeta

← #10828768

Subgroups — #10828768

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#553C211yesmaximal, characteristic
2C2×#5035C211yesmaximal, characteristic, complemented
3#82372C211yesmaximal, characteristic, complemented
4C2×#4998C211yesmaximal, characteristic, complemented
5#71739C211yesmaximal, characteristic, complemented
6#71739C211yesmaximal, characteristic, complemented
7#71681C211yesmaximal, characteristic, complemented
8#71680C211yesmaximal, characteristic, complemented
9#71679C211yesmaximal, characteristic, complemented
10#71610C211yesmaximal, characteristic, complemented
11#71607C211yesmaximal, characteristic, complemented
12#71606C211yesmaximal, characteristic, complemented
13#71575C211yesmaximal, characteristic, complemented
14#71556C211yesmaximal, characteristic, complemented
15#71555C211yesmaximal, characteristic, complemented
16#24090—31nomaximal, Sylow
17C3×#553—24no—
18C3×#553—24no—
19C2×C3×#126—21no—
20C2×C3×#125C2211yescharacteristic
21C2×C3×#123—21no—
22C2×C3×#121—21no—
23C2×C3×#121C2211yescharacteristic
24C2×C3×#121C2211yescharacteristic
25C2×C3×C4×D4—21no—
26C2×C3×C4×D4C2211yescharacteristic
27C2×C3×C4×D4C2211yescharacteristic
28C2×C3×#117C2211yescharacteristic
29C22×C3×C4⋊C4C2211yescharacteristic
30C2×#926C2211yescharacteristic
31C23×C3⋊C8C2211yescharacteristic
32#5222—21no—
33C2×#832C2211yescharacteristic
34C2×#832C2211yescharacteristic
35C2×#832C2211yescharacteristic
36C2×#832C2211yescharacteristic
37#5212C2211yescharacteristic
38#5212C2211yescharacteristic
39#5212C2211yescharacteristic
40C2×#830C2211yescharacteristic
41C2×#830C2211yescharacteristic
42C2×#830C2211yescharacteristic
43#5035—24no—
44#4998—24no—
45#4978—21no—
46C2×#808C2211yescharacteristic
47C2×#808C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#807C2211yescharacteristic
50C2×#807C2211yescharacteristic
51C2×#807C2211yescharacteristic
52#4952—21no—
53#4944—21no—
54#4928C2211yescharacteristic
55#4928C2211yescharacteristic
56#4529C2211yescharacteristic
57#4529C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#553D311yescharacteristic
65C2×#482—31no—
66C2×#427—31no—
67#2485—31no—
68#2059—31no—
69#2059—31no—
70#2034—31no—
71#2033—31no—
72#1893—31no—
73#1869—31no—
74#1864—31no—
75#1862—31no—
76#1853—31no—
77#1852—31no—
78#1825—31no—
79C22×C3×D4—21no—
80C22×C3×D4—21no—
81C22×C3×D4D411yescharacteristic
82C22×C3×D4C2311yescharacteristic
83C23×C3×C4—21no—
84C23×C3×C4—21no—
85C23×C3×C4C2311yescharacteristic
86C23×C3×C4C2311yescharacteristic
87C3×#126—28no—
88C3×#125—22no—
89C3×#125—22no—
90C3×#123—28no—
91C3×#121—28no—
92C3×#121—22no—
93C3×#121—22no—
94C3×#121—22no—
95C3×#121D414yes—
96C3×C4×D4—28no—
97C3×C4×D4—22no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4—22no—
101C3×#117—22no—
102C3×#117D414yes—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—22no—
107C2×C3×C4⋊C4—22no—
108C2×C3×C4⋊C4D411yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4D411yescharacteristic
117C2×C3×C22⋊C4D411yescharacteristic
118C2×C3×C42—21no—
119C2×C3×C42C2311yescharacteristic
120C2×#217—21no—
121C2×#217—21no—
122C2×#217—21no—
123C2×#217—21no—
124#926—22no—
125#926—22no—
126C2×C4⋊Dic3C2311yescharacteristic
127C2×C4⋊Dic3C2311yescharacteristic
128C2×C4⋊Dic3C2311yescharacteristic
129C2×C4⋊Dic3C2311yescharacteristic
130C2×Dic3⋊C4—21no—
131C2×Dic3⋊C4—21no—
132C2×C4×Dic3—21no—
133C22×C3⋊C8—22no—
134C22×C3⋊C8—22no—
135C22×C3⋊C8—22no—
136C22×C3⋊C8C2311yescharacteristic
137C22×C3⋊C8C2311yescharacteristic
138C22×C3⋊C8C2311yescharacteristic
139C22×C3⋊C8C2311yescharacteristic
140#832—22no—
141#832—22no—
142#832—22no—
143#832—22no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149#830—22no—
150#830—22no—
151#830—22no—
152#808—22no—
153#808—22no—
154#808—22no—
155#807—22no—
156#807—22no—
157#807—22no—
158C23×C8—31no—
159#553—24no—
160#553—24no—
161C2×#126—21no—
162C2×#125C2×D311yescharacteristic
163C2×#123—21no—
164C2×#121—21no—
165C2×#121C2×D311yescharacteristic
166C2×#121C2×D311yescharacteristic
167C2×C4×D4—21no—
168C2×C4×D4C2×D311yescharacteristic
169C2×C4×D4C2×D311yescharacteristic
170C2×#117—31no—
171C2×#117C2×D311yescharacteristic
172C22×C4⋊C4C2×D311yescharacteristic
173#482—64no—
174#427—64no—
175C2×#107—31no—
176C2×#107—31no—
177C2×#107—31no—
178C2×#106—31no—
179C2×#106—31no—
180C2×#106—31no—
181C2×#102—31no—
182C2×#102—31no—
183C2×#102—31no—
184C2×#102—31no—
185C2×C22⋊C8—31no—
186C2×C22⋊C8—31no—
187C2×C22⋊C8—31no—
188#397—61no—
189#394—61no—
190#389—31no—
191#389—31no—
192#388—61no—
193#387—61no—
194#380—31no—
195#380—31no—
196#380—31no—
197#340—31no—
198#340—31no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#336—31no—
204#336—31no—
205C24×C3—21no—
206C24×C3C2×D411yescharacteristic
207C24×C3C2×D411yescharacteristic
208C2×C3×D4—24no—
209C2×C3×D4—22no—
210C2×C3×D4—22no—
211C2×C3×D4—24no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—21no—
217C2×C3×D4—41no—
218C2×C3×D4—42no—
219C2×C3×D4—42no—
220C2×C3×D4—81no—
221C2×C3×D4—81no—
222C2×C3×D4C2×D412yes—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4—21no—
230C22×C3×C4—24no—
231C22×C3×C4—24no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—21no—
237C22×C3×C4—21no—
238C22×C3×C4—81no—
239C22×C3×C4—81no—
240C22×C3×C4—81no—
241C22×C3×C4—81no—
242C22×C3×C4C2×D411yescharacteristic
243C22×C3×C4C2×D411yescharacteristic
244C22×C3×C4C2×D411yescharacteristic
245C22×C3×C4C2×D411yescharacteristic
246C22×C3×C4C2×D412yes—
247C22×C3×C4C2×D412yes—
248C22×C3×C4C2411yescharacteristic
249C22×Dic3—21no—
250C22×Dic3—21no—
251C22×Dic3—21no—
252C22×Dic3—21no—
253C3×C4⋊C4—24no—
254C3×C4⋊C4—24no—
255C3×C4⋊C4—24no—
256C3×C4⋊C4—22no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4C2×D412yes—
261C3×C4⋊C4C2×D412yes—
262C3×C4⋊C4C2×D412yes—
263C3×C22⋊C4—24no—
264C3×C22⋊C4—24no—
265C3×C22⋊C4—24no—
266C3×C22⋊C4—22no—
267C3×C22⋊C4—24no—
268C3×C22⋊C4—22no—
269C3×C42—24no—
270C3×C42—21no—
271C3×C42—21no—
272#217—42no—
273#217—42no—
274#217—81no—
275#217—81no—
276C4⋊Dic3—21no—
277C4⋊Dic3—21no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284Dic3⋊C4—42no—
285Dic3⋊C4—81no—
286C4×Dic3—42no—
287C2×C3⋊C8—28no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8#4112yes—
299C2×C3⋊C8#4112yes—
300C22×D4—21no—
301C22×D4—21no—
302C22×D4#6711yescharacteristic
303C22×D4C22×D311yescharacteristic
304C23×C4—21no—
305C23×C4—21no—
306C23×C4C22×D311yescharacteristic
307C23×C4C22×D311yescharacteristic
308C22×C8—31no—
309C22×C8—31no—
310C22×C8—31no—
311C22×C8—31no—
312C22×C8—62no—
313C22×C8—62no—
314C22×C8—62no—
315#126—28no—
316#125—22no—
317#125—22no—
318#123—28no—
319#121—28no—
320#121—22no—
321#121—22no—
322#121—22no—
323#121#6714yes—
324C4×D4—28no—
325C4×D4—22no—
326C4×D4—22no—
327C4×D4—22no—
328C4×D4—22no—
329#117—22no—
330#117—62no—
331#117—62no—
332#117#6714yes—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—31no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—31no—
341C2×C4⋊C4—31no—
342C2×C4⋊C4—61no—
343C2×C4⋊C4—61no—
344C2×C4⋊C4#6711yescharacteristic
345C2×C4⋊C4C22×D311yescharacteristic
346C2×C4⋊C4C22×D311yescharacteristic
347C2×C4⋊C4C22×D311yescharacteristic
348C2×C22⋊C4—21no—
349C2×C22⋊C4—21no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—61no—
353C2×C22⋊C4—61no—
354C2×C22⋊C4—61no—
355C2×C22⋊C4—61no—
356C2×C22⋊C4#6711yescharacteristic
357C2×C22⋊C4#6711yescharacteristic
358C2×C42—21no—
359C2×C42—61no—
360C2×C42C22×D311yescharacteristic
361#107—62no—
362#107—62no—
363#107—62no—
364#106—62no—
365#106—62no—
366#106—62no—
367#102—62no—
368#102—62no—
369#102—62no—
370#102—62no—
371C22⋊C8—62no—
372C22⋊C8—62no—
373C22⋊C8—62no—
374#95—61no—
375#95—61no—
376#95—61no—
377#95—61no—
378#95—61no—
379C23×C3—21no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—22no—
392C23×C3—41no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3#12012yes—
399C23×C3#13512yes—
400C23×C3C22×D411yescharacteristic
401C3×D4—22no—
402C3×D4—22no—
403C3×D4—44no—
404C3×D4—48no—
405C3×D4—41no—
406C3×D4—41no—
407C3×D4—84no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—21no—
415C2×C3×C4—22no—
416C2×C3×C4—21no—
417C2×C3×C4—22no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—84no—
437C2×C3×C4—84no—
438C2×C3×C4#12012yes—
439C2×C3×C4C22×D411yescharacteristic
440C2×C3×C4C22×D411yescharacteristic
441C2×C3×C4C2×#4111yescharacteristic
442C2×C3×C4C2×#4111yescharacteristic
443C2×C3×C42−1+411yescharacteristic
444C2×C3×C42−1+411yescharacteristic
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C3⋊C8—22no—
458C3⋊C8—22no—
459C3⋊C8—41no—
460C3⋊C8—41no—
461C24—21no—
462C24C2×#6711yescharacteristic
463C24C2×#6711yescharacteristic
464C2×D4—24no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—24no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—41no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—81no—
477C2×D4—81no—
478C2×D4C2×#6712yes—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4C2×#6711yescharacteristic
503C22×C4C2×#6711yescharacteristic
504C22×C4C2×#6711yescharacteristic
505C22×C4C2×#6711yescharacteristic
506C22×C4C2×#6712yes—
507C22×C4C2×#6712yes—
508C22×C4C23×D311yescharacteristic
509C2×C8—32no—
510C2×C8—32no—
511C2×C8—68no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C2×C8—61no—
516C2×C8—61no—
517C2×C8—61no—
518C2×C8—61no—
519C2×C8—61no—
520C2×C8—61no—
521C2×C8—61no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—61no—
530C4⋊C4—61no—
531C4⋊C4—61no—
532C4⋊C4—61no—
533C4⋊C4—61no—
534C4⋊C4—61no—
535C4⋊C4—61no—
536C4⋊C4—61no—
537C4⋊C4—122no—
538C4⋊C4—241no—
539C4⋊C4C2×#6712yes—
540C4⋊C4C2×#6712yes—
541C4⋊C4C2×#6712yes—
542C22⋊C4—24no—
543C22⋊C4—24no—
544C22⋊C4—24no—
545C22⋊C4—22no—
546C22⋊C4—24no—
547C22⋊C4—22no—
548C22⋊C4—122no—
549C22⋊C4—122no—
550C22⋊C4—241no—
551C22⋊C4—241no—
552C42—24no—
553C42—21no—
554C42—21no—
555C42—122no—
556C22×C3—22no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—41no—
563C22×C3—41no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—42no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—81no—
574C22×C3—81no—
575C22×C3—81no—
576C22×C3—81no—
577C22×C3C2×#12011yescharacteristic
578C22×C3#54711yescharacteristic
579C22×C3#54711yescharacteristic
580C22×C3C2×#13511yescharacteristic
581C22×C3#57511yescharacteristic
582C22×C3#57611yescharacteristic
583C22×C3#57711yescharacteristic
584C3×C4—22no—
585C3×C4—41no—
586C3×C4—41no—
587C3×C4—42no—
588C3×C4—41no—
589C3×C4—42no—
590C3×C4—42no—
591C3×C4#52511yescharacteristic
592C3×C4#53611yescharacteristic
593C3×C4#54711yescharacteristic
594C3×C4#54711yescharacteristic
595Dic3—81no—
596Dic3—81no—
597Dic3—81no—
598Dic3—81no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—22no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23#95012yes—
619C23#95312yes—
620C23C22×#6711yescharacteristic
621D4—22no—
622D4—22no—
623D4—44no—
624D4—48no—
625D4—41no—
626D4—41no—
627D4—84no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—84no—
657C2×C4—84no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4#95312yes—
671C2×C4D3×#4111yescharacteristic
672C2×C4D3×#4111yescharacteristic
673C2×C4#101011yescharacteristic
674C2×C4#101011yescharacteristic
675C2×C4C22×#6711yescharacteristic
676C2×C4C22×#6711yescharacteristic
677C8—62no—
678C8—62no—
679C8—121no—
680C8—121no—
681C2×C3—42no—
682C2×C3—42no—
683C2×C3—82no—
684C2×C3#240611yescharacteristic
685C2×C3#300211yescharacteristic
686C2×C3#301211yescharacteristic
687C2×C3#333711yescharacteristic
688C2×C3#333911yescharacteristic
689C2×C3#334711yescharacteristic
690C2×C3#335011yescharacteristic
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22C2×#95011yescharacteristic
713C22#582211yescharacteristic
714C22#582411yescharacteristic
715C22#582411yescharacteristic
716C22#583511yescharacteristic
717C22#583611yescharacteristic
718C22C2×#95311yescharacteristic
719C4—22no—
720C4—41no—
721C4—42no—
722C4—41no—
723C4—41no—
724C4—42no—
725C4—42no—
726C4—241no—
727C4—241no—
728C4—241no—
729C4—241no—
730C4#582411yescharacteristic
731C4#582411yescharacteristic
732C4#582511yescharacteristic
733C4#582811yescharacteristic
734C3#2409011yescharacteristic, complemented, Sylow
735C2—42no—
736C2—42no—
737C2—82no—
738C2#8360611yescharacteristic
739C2#8360711yescharacteristic
740C2#8361011yescharacteristic
741C2#8361111yescharacteristic
742C2#8408011yescharacteristic
743C2#8409011yescharacteristic
744C2#8410211yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
Fitting, prime radicalC2×C3×#553C2
socleC23×C3C22×D4
hypercenterC2×#553D3
hypocenterC3#24090
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
2. C2×#5035C2semidirect
3. #82372C2semidirect
4. C2×#4998C2semidirect
5. #71739C2semidirect
6. #71739C2semidirect
7. #71681C2semidirect
8. #71680C2semidirect
9. #71679C2semidirect
10. #71610C2semidirect
11. #71607C2semidirect
12. #71606C2semidirect
13. #71575C2semidirect
14. #71556C2semidirect
15. #71555C2semidirect
734. C3#24090semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5532
C2×#50352
#823722
C2×#49982
#717392
#716812
#716802
#716792
#716102
#716072
#716062
#715752
#715562
#715552
#240903