Finite Group Databasebeta

← #10823561

Subgroups — #10823561

Order 768.

1114 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5518C211yesmaximal, characteristic, complemented
2C3×#2324C211yesmaximal, characteristic
3C2×C4×#214C211yesmaximal, characteristic, complemented
4C2×#5018C211yesmaximal, characteristic, complemented
5#71685C211yesmaximal, characteristic
6#71685C211yesmaximal, characteristic
7#71582C211yesmaximal, characteristic, complemented
8#69661C211yesmaximal, characteristic, complemented
9#69639C211yesmaximal, characteristic, complemented
10#69633C211yesmaximal, characteristic, complemented
11#69606C211yesmaximal, characteristic, complemented
12#69527C211yesmaximal, characteristic, complemented
13#69526C211yesmaximal, characteristic, complemented
14#69475C211yesmaximal, characteristic, complemented
15C4×#810C211yesmaximal, characteristic, complemented
16#23584—31nomaximal, Sylow
17C2×C3×#121C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×C3×#117C2211yescharacteristic
20C22×#214C2211yescharacteristic
21C22×#214C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C2×#924C2211yescharacteristic
24#5518—24no—
25#5518—24no—
26C2×#889—21no—
27C2×#889—21no—
28C2×#879—21no—
29C2×#879—21no—
30C2×#870C2211yescharacteristic
31C2×#869C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C3×#390—21no—
35C3×#390C2211yescharacteristic
36C3×#389C2211yescharacteristic
37C3×#388—21no—
38C3×#386—21no—
39C3×#385—21no—
40C3×#380C2211yescharacteristic
41C3×C4×C4⋊C4C2211yescharacteristic
42C2×#832C2211yescharacteristic
43C2×#832C2211yescharacteristic
44C2×#830C2211yescharacteristic
45C2×#830C2211yescharacteristic
46#5018—24no—
47C4×#214—24no—
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#810C2211yescharacteristic
52C2×#810C2211yescharacteristic
53C2×#810C2211yescharacteristic
54C2×#808C2211yescharacteristic
55C2×#807C2211yescharacteristic
56C2×#803C2211yescharacteristic
57C2×C4×C3⋊C8C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4524C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#541—31no—
65C2×#440—31no—
66C2×C4×SD16—31no—
67#2324D311yescharacteristic
68#2059—31no—
69#2043—31no—
70#2036—31no—
71#2035—31no—
72#2025—31no—
73#2013—31no—
74#2000—31no—
75#2000—31no—
76#1763—31no—
77C4×#103—31no—
78#1750—31no—
79C22×C3×D4—21no—
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4—21no—
82C23×C3×C4C2311yescharacteristic
83C22×Dic6C2311yescharacteristic
84C22×Dic6C2311yescharacteristic
85C3×#121—22no—
86C3×#121—22no—
87C3×C4×D4—22no—
88C3×C4×D4—22no—
89C3×#117—22no—
90C3×#117—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4D411yescharacteristic
93C2×C3×C4⋊C4D411yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×C3×C22⋊C4D411yescharacteristic
103C2×C3×C22⋊C4D411yescharacteristic
104C2×C3×C42—21no—
105C2×C3×C42C2311yescharacteristic
106C2×C3×C42C2311yescharacteristic
107C2×#217—21no—
108C2×#217—21no—
109C2×#214—22no—
110C2×#214—22no—
111C2×#214—22no—
112C2×#214—22no—
113C2×#214—22no—
114C2×#214—22no—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3—21no—
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119#924—22no—
120#924—22no—
121#924—22no—
122#924—22no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×Dic3⋊C4—21no—
129C2×C4×Dic3—21no—
130C2×C4×Dic3—21no—
131C22×C3⋊C8C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133C22×C3⋊C8C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135#889—28no—
136#889—28no—
137#879—28no—
138#879—28no—
139#870—22no—
140#870—22no—
141#869—22no—
142#869—22no—
143C4×Dic6—22no—
144C4×Dic6—22no—
145C4×Dic6D414yescomplemented
146C4×Dic6D414yescomplemented
147C3×#95—21no—
148C3×#95—21no—
149C3×#95—21no—
150#832—22no—
151#832—22no—
152#830—22no—
153#830—22no—
154#810—22no—
155#810—22no—
156#810—22no—
157#810—22no—
158#810—22no—
159#810—22no—
160#808—22no—
161#807—22no—
162#803—22no—
163C4×C3⋊C8—22no—
164C22×SD16—31no—
165C22×SD16—31no—
166#541—64no—
167#541—64no—
168C2×C4⋊Q8—31no—
169C2×#126—61no—
170C2×#126—61no—
171C2×#125—31no—
172C2×#125—61no—
173C2×#125—61no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8—31no—
176C2×#121C2×D311yescharacteristic
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×D4C2×D311yescharacteristic
180C2×#117C2×D311yescharacteristic
181#440—64no—
182C4×SD16—64no—
183C2×#107—31no—
184C2×#106—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×#97—31no—
196C2×C4×C8—31no—
197#390—21no—
198#390C2×D311yescharacteristic
199#389C2×D311yescharacteristic
200#388—21no—
201#386—21no—
202#385—21no—
203#380C2×D311yescharacteristic
204C4×C4⋊C4C2×D311yescharacteristic
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336—31no—
210#336—31no—
211C24×C3—21no—
212C24×C3C2×D411yescharacteristic
213C2×C3×D4—24no—
214C2×C3×D4—21no—
215C2×C3×D4—21no—
216C2×C3×D4—21no—
217C2×C3×D4—21no—
218C2×C3×D4—21no—
219C2×C3×D4—81no—
220C2×C3×D4—81no—
221C2×C3×D4#4112yes—
222C22×C3×C4—21no—
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—21no—
231C22×C3×C4—42no—
232C22×C3×C4—81no—
233C22×C3×C4—81no—
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2×D411yescharacteristic
238C22×C3×C4C2×D411yescharacteristic
239C22×C3×C4C2411yescharacteristic
240C22×Dic3—21no—
241C22×Dic3—21no—
242C22×Dic3—21no—
243C22×Dic3—21no—
244C2×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6C2×D412yes—
255C2×Dic6C2×D412yes—
256C3×C4⋊C4—22no—
257C3×C4⋊C4—22no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—81no—
264C3×C4⋊C4#4112yes—
265C3×C22⋊C4—24no—
266C3×C22⋊C4—22no—
267C3×C22⋊C4—22no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—81no—
270C3×C22⋊C4—81no—
271C3×C22⋊C4—81no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—81no—
275C3×C42C2×D412yes—
276C3×C42C2×D412yes—
277#217—24no—
278#217—24no—
279#214—28no—
280#214—28no—
281C4⋊Dic3—24no—
282C4⋊Dic3—24no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3C2×D412yes—
286C4⋊Dic3C2×D412yes—
287Dic3⋊C4—24no—
288Dic3⋊C4—24no—
289Dic3⋊C4—24no—
290Dic3⋊C4—24no—
291Dic3⋊C4—24no—
292Dic3⋊C4—24no—
293C4×Dic3—24no—
294C4×Dic3—24no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8#4112yes—
306C2×C3⋊C8#4112yes—
307C22×Q8—31no—
308C22×Q8—31no—
309C22×D4—21no—
310C22×D4C22×D311yescharacteristic
311C23×C4—21no—
312C23×C4C22×D311yescharacteristic
313C2×SD16—62no—
314C2×SD16—62no—
315C2×SD16—62no—
316C2×SD16—62no—
317C2×SD16—62no—
318C2×SD16—62no—
319C22×C8—31no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8—31no—
323C4⋊Q8—62no—
324C4⋊Q8—62no—
325#126—68no—
326#126—68no—
327#125—62no—
328#125—62no—
329#125—68no—
330#125—68no—
331C22⋊Q8—62no—
332C22⋊Q8—62no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335#121—22no—
336#121—22no—
337C4×Q8—34no—
338C4×Q8—34no—
339C4×Q8—62no—
340C4×Q8—62no—
341C4×D4—22no—
342C4×D4—22no—
343#117—22no—
344#117—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—61no—
349C2×C4⋊C4—61no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4#6711yescharacteristic
357C2×C4⋊C4#6711yescharacteristic
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C4⋊C4C22×D311yescharacteristic
360C2×C4⋊C4C22×D311yescharacteristic
361C2×C22⋊C4—21no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C22⋊C4#6711yescharacteristic
369C2×C22⋊C4#6711yescharacteristic
370C2×C42—21no—
371C2×C42—61no—
372C2×C42—61no—
373C2×C42C22×D311yescharacteristic
374C2×C42C22×D311yescharacteristic
375#107—62no—
376#106—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#103—62no—
381#103—62no—
382#103—62no—
383#102—62no—
384#102—62no—
385C22⋊C8—62no—
386C22⋊C8—62no—
387#97—62no—
388C4×C8—62no—
389#95—21no—
390#95—21no—
391#95—21no—
392C23×C3—21no—
393C23×C3—22no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3—41no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—41no—
405C23×C3—41no—
406C23×C3C22×D411yescharacteristic
407C3×D4—22no—
408C3×D4—22no—
409C3×D4—41no—
410C3×D4—41no—
411C3×D4—84no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—22no—
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—41no—
437C2×C3×C4—41no—
438C2×C3×C4—84no—
439C2×C3×C4#12012yes—
440C2×C3×C4#12012yes—
441C2×C3×C4C22×D411yescharacteristic
442C2×C3×C4C22×D411yescharacteristic
443C2×C3×C4C2×#4111yescharacteristic
444C2×C3×C4C2×#4111yescharacteristic
445C2×C3×C4C2×#4111yescharacteristic
446C2×C3×C4C2×#4111yescharacteristic
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459Dic6—22no—
460Dic6—22no—
461Dic6—22no—
462Dic6—22no—
463Dic6—41no—
464Dic6—41no—
465Dic6—41no—
466Dic6—41no—
467C3⋊C8—22no—
468C3⋊C8—22no—
469C3⋊C8—41no—
470C3⋊C8—41no—
471C24—21no—
472C24C2×#6711yescharacteristic
473C2×Q8—32no—
474C2×Q8—32no—
475C2×Q8—61no—
476C2×Q8—61no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×D4—24no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—81no—
492C2×D4—81no—
493C2×D4#23512yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—42no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C2×#6711yescharacteristic
511C22×C4C2×#6711yescharacteristic
512C22×C4C2×#6711yescharacteristic
513C22×C4C2×#6711yescharacteristic
514C22×C4C2×#6711yescharacteristic
515C22×C4C23×D311yescharacteristic
516SD16—68no—
517SD16—68no—
518C2×C8—32no—
519C2×C8—32no—
520C2×C8—61no—
521C2×C8—61no—
522C2×C8—61no—
523C2×C8—61no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—32no—
538C4⋊C4—32no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—64no—
546C4⋊C4—64no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—81no—
550C4⋊C4#23512yes—
551C22⋊C4—24no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—42no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—81no—
558C22⋊C4—81no—
559C22⋊C4—81no—
560C42—21no—
561C42—21no—
562C42—64no—
563C42—64no—
564C42—81no—
565C42D3×D412yes—
566C42D3×D412yes—
567C22×C3—41no—
568C22×C3—42no—
569C22×C3—41no—
570C22×C3—42no—
571C22×C3—41no—
572C22×C3—42no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—81no—
578C22×C3—81no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3C2×#12011yescharacteristic
582C22×C3#52511yescharacteristic
583C22×C3#53211yescharacteristic
584C22×C3#57711yescharacteristic
585C22×C3#57711yescharacteristic
586C22×C3#57711yescharacteristic
587C22×C3#57811yescharacteristic
588C3×C4—22no—
589C3×C4—22no—
590C3×C4—42no—
591C3×C4—41no—
592C3×C4—41no—
593C3×C4—41no—
594C3×C4—81no—
595C3×C4—81no—
596C3×C4#52511yescharacteristic
597C3×C4#52511yescharacteristic
598C3×C4#53211yescharacteristic
599C3×C4#53211yescharacteristic
600Dic3—42no—
601Dic3—42no—
602Dic3—42no—
603Dic3—42no—
604C23—22no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23C22×#6711yescharacteristic
619Q8—62no—
620Q8—62no—
621Q8—62no—
622Q8—62no—
623Q8—121no—
624Q8—121no—
625Q8—121no—
626Q8—121no—
627D4—22no—
628D4—22no—
629D4—41no—
630D4—41no—
631D4—84no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
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—41no—
657C2×C4—41no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—84no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4#93712yes—
672C2×C4#93712yes—
673C2×C4C2×#23511yescharacteristic
674C2×C4C2×#23511yescharacteristic
675C2×C4C2×D3×D411yescharacteristic
676C2×C4C2×D3×D411yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C8—62no—
680C8—62no—
681C8—121no—
682C8—121no—
683C2×C3—81no—
684C2×C3—82no—
685C2×C3#238811yescharacteristic
686C2×C3#301011yescharacteristic
687C2×C3#301311yescharacteristic
688C2×C3#312011yescharacteristic
689C2×C3#312311yescharacteristic
690C2×C3#317411yescharacteristic
691C2×C3#317811yescharacteristic
692C22—41no—
693C22—41no—
694C22—42no—
695C22—41no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—42no—
700C22—41no—
701C22—41no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22#579111yescharacteristic
707C22C2×#93711yescharacteristic
708C22#583211yescharacteristic
709C22#583611yescharacteristic
710C22#583611yescharacteristic
711C22#583611yescharacteristic
712C22#583811yescharacteristic
713C4—22no—
714C4—22no—
715C4—42no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—81no—
720C4—81no—
721C4—122no—
722C4—122no—
723C4—122no—
724C4—122no—
725C4#554711yescharacteristic
726C4#554711yescharacteristic
727C4#554811yescharacteristic
728C4#554811yescharacteristic
729C3#2358411yescharacteristic, complemented, Sylow
730C2—81no—
731C2—82no—
732C2#8240011yescharacteristic
733C2#8254511yescharacteristic
734C2#8257511yescharacteristic
735C2#8339011yescharacteristic
736C2#8342711yescharacteristic
737C2#8343111yescharacteristic
738C2#8345811yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2324C2
socleC23×C3C22×D4
prime radicalC2×C3×#121C22
hypercenter#2324D3
hypocenterC3#23584
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
1. C2×#5518C2semidirect
3. C2×C4×#214C2semidirect
4. C2×#5018C2semidirect
7. #71582C2semidirect
8. #69661C2semidirect
9. #69639C2semidirect
10. #69633C2semidirect
11. #69606C2semidirect
12. #69527C2semidirect
13. #69526C2semidirect
14. #69475C2semidirect
15. C4×#810C2semidirect
145. C4×Dic6D4semidirect
146. C4×Dic6D4semidirect
729. C3#23584semidirect

Maximal subgroups

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

subgroupindex
C2×#55182
C3×#23242
C2×C4×#2142
C2×#50182
#716852
#715822
#696612
#696392
#696332
#696062
#695272
#695262
#694752
C4×#8102
#235843