Finite Group Databasebeta

← #10823520

Subgroups — #10823520

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5582C211yesmaximal, characteristic
2C2×C3×#441C211yesmaximal, characteristic, complemented
3#82488C211yesmaximal, characteristic, complemented
4C2×C4×#215C211yesmaximal, characteristic, complemented
5#72072C211yesmaximal, characteristic, complemented
6#72071C211yesmaximal, characteristic, complemented
7C4×#835C211yesmaximal, characteristic, complemented
8#70581C211yesmaximal, characteristic
9#70565C211yesmaximal, characteristic, complemented
10#70279C211yesmaximal, characteristic, complemented
11#70274C211yesmaximal, characteristic, complemented
12#70272C211yesmaximal, characteristic
13#70231C211yesmaximal, characteristic, complemented
14#69830C211yesmaximal, characteristic, complemented
15#69812C211yesmaximal, characteristic, complemented
16#23581—31nomaximal, Sylow
17C22×C3×Q16C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×C3×C4×Q8C2211yescharacteristic
20C2×#947C2211yescharacteristic
21C2×#946C2211yescharacteristic
22C2×#946C2211yescharacteristic
23C22×#215C2211yescharacteristic
24#5582—24no—
25#5582—24no—
26C2×#896—21no—
27C2×#895C2211yescharacteristic
28C2×#894—21no—
29C2×#888C2211yescharacteristic
30C2×#876—21no—
31C2×#875—21no—
32C2×C4×D12C2211yescharacteristic
33C2×#872C2211yescharacteristic
34C3×#441—24no—
35C2×C3×#106C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#103C2211yescharacteristic
38C2×C3×#97C2211yescharacteristic
39#5229C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#835C2211yescharacteristic
42C2×#835C2211yescharacteristic
43C2×#821C2211yescharacteristic
44C2×#821C2211yescharacteristic
45C2×(C2×D3)⋊C8C2211yescharacteristic
46C2×(C2×D3)⋊C8C2211yescharacteristic
47C4×#215—24no—
48#4990—21no—
49#4987C2211yescharacteristic
50#4976—21no—
51#4972C2211yescharacteristic
52C2×#809C2211yescharacteristic
53C2×#808C2211yescharacteristic
54#4940—21no—
55C4×C4⋊Dic3C2211yescharacteristic
56#4933—21no—
57C2×C4×C3⋊C8C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#542—31no—
65C2×#441D311yescharacteristic, complemented
66C2×C4×SD16—31no—
67#2323—31no—
68#2058—31no—
69#2042—31no—
70#2035—31no—
71#2034—31no—
72#2024—31no—
73#2015—31no—
74#2001—31no—
75#2000—31no—
76#1762—31no—
77C4×#103—31no—
78#1750—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×D12—21no—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×C4×D3C2311yescharacteristic
85C22×Dic6—21no—
86C2×C3×Q16—22no—
87C2×C3×Q16—22no—
88C2×C3×Q16—22no—
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C4×Q8—22no—
92C3×C4×Q8—22no—
93C3×C4×Q8—22no—
94C3×C4×Q8D414yes—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C42—21no—
100C2×C3×C42—21no—
101C2×C3×C42C2311yescharacteristic
102#947—22no—
103#947—22no—
104#946—22no—
105#946—22no—
106#946—22no—
107#946—22no—
108C2×#215—22no—
109C2×#215—22no—
110C2×#215—22no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4D411yescharacteristic
119C2×(C2×D3)⋊C4D411yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4D411yescharacteristic
128C2×Dic3⋊C4D411yescharacteristic
129C2×C4×Dic3—21no—
130C2×C4×Dic3C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133#896—28no—
134#895—22no—
135#895—22no—
136#894—28no—
137#888—22no—
138#888—22no—
139#876—28no—
140#875—28no—
141C4×D12—22no—
142C4×D12D414yes—
143#872—22no—
144#872—22no—
145C3×#106—22no—
146C3×#103—22no—
147C3×#103—22no—
148C3×#97—22no—
149#835—22no—
150#835—22no—
151#835—22no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157#821—22no—
158#821—22no—
159(C2×D3)⋊C8—22no—
160(C2×D3)⋊C8—22no—
161#809—22no—
162#808—22no—
163C4×C3⋊C8—22no—
164C22×Q16C2×D311yescharacteristic
165C22×SD16—31no—
166#542—64no—
167#542—64no—
168C2×C4⋊Q8—31no—
169C2×#126—61no—
170C2×#124—31no—
171C2×#124—61no—
172C2×#123—61no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8—61no—
176C2×#121—31no—
177C2×C4×Q8C2×D311yescharacteristic
178C2×C4×Q8C2×D311yescharacteristic
179C2×C4×D4—31no—
180C2×#117—31no—
181#441—24no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×#106C2×D311yescharacteristic
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103C2×D311yescharacteristic
189C2×#103C2×D311yescharacteristic
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×#97C2×D311yescharacteristic
196C2×C4×C8—31no—
197#391—31no—
198#389—31no—
199#389—61no—
200#388—61no—
201#388—61no—
202#387—61no—
203#380—31no—
204C4×C4⋊C4—31no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336—31no—
210#336—31no—
211C23×D3—21no—
212C23×D3C2×D411yescharacteristic
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8—21no—
222C2×C3×Q8—21no—
223C2×C3×Q8C2×D412yes—
224C2×C3×Q8#4112yes—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2411yescharacteristic
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3C2×D411yescharacteristic
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—24no—
244C2×D12—81no—
245C2×D12—81no—
246C2×D12C2×D412yes—
247C2×C4×D3—21no—
248C2×C4×D3—21no—
249C2×C4×D3—21no—
250C2×C4×D3—21no—
251C2×C4×D3—21no—
252C2×C4×D3—21no—
253C2×C4×D3—24no—
254C2×C4×D3—81no—
255C2×C4×D3—81no—
256C2×Dic6—24no—
257C2×Dic6—81no—
258C2×Dic6—81no—
259C3×Q16—28no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8#4112yes—
266C3×C4⋊C4—24no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—42no—
271C3×C4⋊C4C2×D412yes—
272C3×C42—24no—
273C3×C42—42no—
274C3×C42C2×D412yes—
275C3×C42C2×D412yes—
276#215—28no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—24no—
279(C2×D3)⋊C4—24no—
280(C2×D3)⋊C4—24no—
281(C2×D3)⋊C4—24no—
282(C2×D3)⋊C4—22no—
283(C2×D3)⋊C4—22no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—81no—
286C4⋊Dic3—21no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3C2×D412yes—
291C4⋊Dic3#4112yes—
292Dic3⋊C4—24no—
293Dic3⋊C4—24no—
294Dic3⋊C4—24no—
295Dic3⋊C4—22no—
296Dic3⋊C4—22no—
297Dic3⋊C4—81no—
298C4×Dic3—21no—
299C4×Dic3—21no—
300C4×Dic3—81no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8#4112yes—
307C22×Q8—61no—
308C22×Q8C22×D311yescharacteristic
309C22×Q8C22×D311yescharacteristic
310C22×D4—31no—
311C22×D4—61no—
312C23×C4—31no—
313C23×C4—61no—
314C2×Q16—22no—
315C2×Q16—22no—
316C2×Q16—22no—
317C2×SD16—62no—
318C2×SD16—62no—
319C2×SD16—62no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8C22×D311yescharacteristic
323C22×C8C22×D311yescharacteristic
324C4⋊Q8—62no—
325C4⋊Q8—62no—
326#126—68no—
327#124—68no—
328#124—62no—
329#124—62no—
330#123—68no—
331C22⋊Q8—68no—
332C22⋊Q8—62no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336#121—62no—
337#121—62no—
338C4×Q8—22no—
339C4×Q8—22no—
340C4×Q8—22no—
341C4×Q8#6714yes—
342C4×D4—34no—
343C4×D4—62no—
344#117—62no—
345#117—62no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C22⋊C4—31no—
360C2×C22⋊C4—31no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—31no—
371C2×C42—61no—
372C2×C42C22×D311yescharacteristic
373#106—22no—
374#106—62no—
375#103—22no—
376#103—22no—
377#103—62no—
378#103—62no—
379#103—62no—
380#102—62no—
381#102—62no—
382#102—62no—
383C22⋊C8—62no—
384C22⋊C8—62no—
385#97—22no—
386C4×C8—62no—
387#95—61no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3C22×D411yescharacteristic
393C22×D3—21no—
394C22×D3—22no—
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—41no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C3×Q8—22no—
408C3×Q8—22no—
409C3×Q8—22no—
410C3×Q8—22no—
411C3×Q8—41no—
412C3×Q8—41no—
413C3×Q8—41no—
414C3×Q8—41no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4#12012yes—
432C2×C3×C4#12012yes—
433C2×C3×C4C22×D411yescharacteristic
434C2×C3×C4C22×D411yescharacteristic
435C2×C3×C4C2×#4111yescharacteristic
436C2×C3×C4C2×#4111yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×Dic3—21no—
440C2×Dic3—21no—
441C2×Dic3—21no—
442C2×Dic3—22no—
443C2×Dic3—21no—
444C2×Dic3—22no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457D12—22no—
458D12—22no—
459D12—41no—
460D12—41no—
461D12—84no—
462C4×D3—41no—
463C4×D3—41no—
464C4×D3—41no—
465C4×D3—41no—
466C4×D3—84no—
467Dic6—84no—
468C3×C8—22no—
469C3×C8—41no—
470C3⋊C8—22no—
471C3⋊C8—41no—
472C24—31no—
473C24—61no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—64no—
485C2×Q8—241no—
486C2×Q8—241no—
487C2×Q8#23512yes—
488C2×Q8C2×#6712yes—
489C2×D4—32no—
490C2×D4—64no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—241no—
497C2×D4—241no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—31no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—64no—
514C22×C4—61no—
515C22×C4—241no—
516C22×C4—241no—
517C22×C4D3×D411yescharacteristic
518C22×C4D3×D411yescharacteristic
519C22×C4C23×D311yescharacteristic
520Q16—28no—
521SD16—68no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—32no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C2×C8—61no—
533C2×C8#23512yes—
534C4⋊C4—24no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—32no—
539C4⋊C4—32no—
540C4⋊C4—42no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—62no—
545C4⋊C4—62no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—241no—
551C4⋊C4C2×#6712yes—
552C22⋊C4—64no—
553C22⋊C4—64no—
554C22⋊C4—64no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—62no—
558C22⋊C4—62no—
559C22⋊C4—64no—
560C22⋊C4—241no—
561C42—24no—
562C42—42no—
563C42—61no—
564C42—61no—
565C42—241no—
566C42D3×D412yes—
567C42C2×#6712yes—
568C22×C3C2×#12011yescharacteristic
569C22×C3#52511yescharacteristic
570C22×C3#53211yescharacteristic
571C22×C3#57711yescharacteristic
572C22×C3#57711yescharacteristic
573C22×C3#57711yescharacteristic
574C22×C3#57811yescharacteristic
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—41no—
578C2×D3—42no—
579C2×D3—41no—
580C2×D3—41no—
581C2×D3—42no—
582C2×D3—41no—
583C2×D3—41no—
584C2×D3—42no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C3×C4—22no—
590C3×C4—22no—
591C3×C4—42no—
592C3×C4—42no—
593C3×C4—42no—
594C3×C4—81no—
595C3×C4#52511yescharacteristic
596C3×C4#52511yescharacteristic
597C3×C4#53211yescharacteristic
598C3×C4#53211yescharacteristic
599Dic3—42no—
600Dic3—41no—
601Dic3—41no—
602Dic3—42no—
603Dic3—41no—
604Dic3—81no—
605C23—61no—
606C23—61no—
607C23—61no—
608C23—61no—
609C23—62no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23C2×D3×D411yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—41no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—244no—
629D4—62no—
630D4—62no—
631D4—121no—
632D4—121no—
633D4—244no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—62no—
657C2×C4—61no—
658C2×C4—62no—
659C2×C4—61no—
660C2×C4—61no—
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—121no—
671C2×C4—121no—
672C2×C4—244no—
673C2×C4#93712yes—
674C2×C4#93712yes—
675C2×C4C2×#23511yescharacteristic
676C2×C4C2×#23511yescharacteristic
677C2×C4C2×D3×D411yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C2×C4D3×#4111yescharacteristic
680C2×C4C22×#6711yescharacteristic
681C8—22no—
682C8—41no—
683C8—62no—
684C8—121no—
685C2×C3#238811yescharacteristic
686C2×C3#300911yescharacteristic
687C2×C3#301311yescharacteristic
688C2×C3#312111yescharacteristic
689C2×C3#312511yescharacteristic
690C2×C3#317311yescharacteristic
691C2×C3#317811yescharacteristic
692D3—81no—
693D3—82no—
694C22—122no—
695C22—121no—
696C22—121no—
697C22—122no—
698C22—121no—
699C22—121no—
700C22—121no—
701C22—121no—
702C22—122no—
703C22—121no—
704C22—241no—
705C22—241no—
706C22—241no—
707C22—241no—
708C22#554711yescharacteristic
709C22#554811yescharacteristic
710C22#577811yescharacteristic
711C22#577811yescharacteristic
712C22#577811yescharacteristic
713C22#577911yescharacteristic
714C22C2×#93711yescharacteristic
715C4—22no—
716C4—22no—
717C4—42no—
718C4—42no—
719C4—42no—
720C4—81no—
721C4—121no—
722C4—122no—
723C4—121no—
724C4—121no—
725C4—122no—
726C4—241no—
727C4#554711yescharacteristic
728C4#554811yescharacteristic
729C4#579111yescharacteristic
730C4#583211yescharacteristic
731C3#2358111yescharacteristic, complemented, Sylow
732C2—241no—
733C2—242no—
734C2#7982311yescharacteristic
735C2#7982511yescharacteristic
736C2#7983511yescharacteristic
737C2#7985011yescharacteristic
738C2#8240011yescharacteristic
739C2#8398211yescharacteristic
740C2#8398411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#441C2
socleC23×C3C22×D4
prime radicalC2×#895C22
hypercenterC2×#441D3
hypocenterC3#23581
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
2. C2×C3×#441C2semidirect
3. #82488C2semidirect
4. C2×C4×#215C2semidirect
5. #72072C2semidirect
6. #72071C2semidirect
7. C4×#835C2semidirect
9. #70565C2semidirect
10. #70279C2semidirect
11. #70274C2semidirect
13. #70231C2semidirect
14. #69830C2semidirect
15. #69812C2semidirect
65. C2×#441D3semidirect
731. C3#23581semidirect

Maximal subgroups

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

subgroupindex
C2×#55822
C2×C3×#4412
#824882
C2×C4×#2152
#720722
#720712
C4×#8352
#705812
#705652
#702792
#702742
#702722
#702312
#698302
#698122
#235813