Finite Group Databasebeta

← #10909527

Subgroups — #10909527

Order 768.

960 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2409C211yesmaximal, characteristic
2C2×#5228C211yesmaximal, characteristic, complemented
3C2×#5052C211yesmaximal, characteristic, complemented
4#82375C211yesmaximal, characteristic
5#72132C211yesmaximal, characteristic, complemented
6#71700C211yesmaximal, characteristic, complemented
7#71697C211yesmaximal, characteristic, complemented
8#71695C211yesmaximal, characteristic, complemented
9#71611C211yesmaximal, characteristic
10#69690C211yesmaximal, characteristic, complemented
11#69690C211yesmaximal, characteristic, complemented
12#69686C211yesmaximal, characteristic, complemented
13#69671C211yesmaximal, characteristic, complemented
14#69527C211yesmaximal, characteristic, complemented
15#69507C211yesmaximal, characteristic, complemented
16#30427—31nomaximal, Sylow
17C23×C3×Q8C2211yescharacteristic
18C2×C3×C22⋊Q8C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C22×#216C2211yescharacteristic
22C22×#216C2211yescharacteristic
23C2×#924C2211yescharacteristic
24C2×#924C2211yescharacteristic
25C22×#208C2211yescharacteristic
26C2×C4×Dic6C2211yescharacteristic
27C3×#395—21no—
28C3×#393—21no—
29C3×#391C2211yescharacteristic
30C3×#391C2211yescharacteristic
31C3×#386—21no—
32C3×#385—21no—
33C3×#380C2211yescharacteristic
34#5228—24no—
35C2×#835C2211yescharacteristic
36C2×#835C2211yescharacteristic
37C2×#835C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×#835C2211yescharacteristic
40C2×#835C2211yescharacteristic
41#5222—21no—
42#5212C2211yescharacteristic
43#5212C2211yescharacteristic
44C2×#830C2211yescharacteristic
45C2×#830C2211yescharacteristic
46C2×#830C2211yescharacteristic
47#5052—24no—
48#4983—21no—
49C2×#810C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#808C2211yescharacteristic
52C2×#807C2211yescharacteristic
53#4944—21no—
54#4944—21no—
55#4936C2211yescharacteristic
56#4529C2211yescharacteristic
57#4529C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4524C2211yescharacteristic
61#4524C2211yescharacteristic
62C2×#470—31no—
63C2×#451—31no—
64#2536—31no—
65#2409D311yescharacteristic
66#2097—31no—
67#2077—31no—
68#2074—31no—
69#2036—31no—
70#2036—31no—
71#2001—31no—
72#1894—31no—
73#1878—31no—
74#1878—31no—
75#1870—31no—
76#1787—31no—
77C22×C3×Q8—21no—
78C22×C3×Q8—22no—
79C22×C3×Q8—22no—
80C22×C3×Q8—41no—
81C22×C3×Q8—41no—
82C22×C3×Q8—41no—
83C22×C3×Q8—41no—
84C22×C3×Q8C2311yescharacteristic
85C22×C3×Q8C2311yescharacteristic
86C22×C3×D4D411yescharacteristic
87C23×C3×C4—21no—
88C23×C3×C4C2311yescharacteristic
89C23×C3×C4C2311yescharacteristic
90C22×Dic6C2311yescharacteristic
91C3×C22⋊Q8—22no—
92C3×C22⋊Q8—22no—
93C3×C22⋊Q8—41no—
94C3×C22⋊Q8—41no—
95C3×C4×D4—41no—
96C3×C4×D4—41no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4D411yescharacteristic
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C22⋊C4—21no—
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4D411yescharacteristic
106C2×C3×C22⋊C4D411yescharacteristic
107C2×C3×C42C2311yescharacteristic
108C2×#217—21no—
109C2×#217—21no—
110C2×#217—21no—
111C2×#217—21no—
112C2×#216—22no—
113C2×#216—22no—
114C2×#216—41no—
115C2×#216—41no—
116C2×#216—41no—
117C2×#216D414yescomplemented
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121#924—22no—
122#924—22no—
123#924—41no—
124#924—41no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×C4×Dic3—21no—
129C2×#208—22no—
130C2×#208—41no—
131C2×#208—41no—
132C22×C3⋊C8C2311yescharacteristic
133C22×C3⋊C8C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135C22×C3⋊C8C2311yescharacteristic
136C4×Dic6—41no—
137C4×Dic6—41no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143#835—22no—
144#835—22no—
145#835—22no—
146#835—41no—
147#835—41no—
148#835—41no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153#830—22no—
154#830—41no—
155#830—41no—
156#810—22no—
157#810—41no—
158#808—22no—
159#807—41no—
160C23×Q8C2×D311yescharacteristic
161C22×Q16—31no—
162C22×Q16—31no—
163C22×M16—31no—
164C2×C22⋊Q8—31no—
165C2×C22⋊Q8—31no—
166C2×C22⋊Q8C2×D311yescharacteristic
167C2×C22⋊Q8C2×D311yescharacteristic
168C2×C4×Q8—31no—
169C2×C4×D4C2×D311yescharacteristic
170#470—64no—
171#451—64no—
172C2×#107—31no—
173C2×#106—31no—
174C2×#103—31no—
175C2×#103—31no—
176C2×#103—31no—
177C2×#103—31no—
178C2×#103—31no—
179C2×#103—31no—
180C2×#103—31no—
181C2×#103—31no—
182C2×C22⋊C8—31no—
183C2×C22⋊C8—31no—
184C2×C22⋊C8—31no—
185#398—61no—
186#395—21no—
187#394—61no—
188#393—21no—
189#391C2×D311yescharacteristic
190#391C2×D311yescharacteristic
191#388—61no—
192#388—61no—
193#386—21no—
194#385—21no—
195#382—31no—
196#380—31no—
197#380—31no—
198#380C2×D311yescharacteristic
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#336—31no—
204#336—31no—
205C24×C3C2×D411yescharacteristic
206C24×C3C2×D411yescharacteristic
207C2×C3×Q8—21no—
208C2×C3×Q8—21no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—42no—
218C2×C3×Q8—42no—
219C2×C3×Q8—42no—
220C2×C3×Q8—44no—
221C2×C3×Q8—44no—
222C2×C3×Q8—44no—
223C2×C3×Q8—44no—
224C2×C3×Q8C2×D412yes—
225C2×C3×Q8#4112yes—
226C2×C3×D4—22no—
227C2×C3×D4—41no—
228C2×C3×D4—41no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
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—21no—
239C22×C3×C4—21no—
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—42no—
246C22×C3×C4—42no—
247C22×C3×C4—42no—
248C22×C3×C4C2×D411yescharacteristic
249C22×C3×C4C2×D411yescharacteristic
250C22×C3×C4C2×D411yescharacteristic
251C22×C3×C4C2×D411yescharacteristic
252C22×C3×C4C2411yescharacteristic
253C22×Dic3—21no—
254C22×Dic3—21no—
255C22×Dic3—21no—
256C22×Dic3—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6—21no—
261C2×Dic6—21no—
262C2×Dic6C2×D412yes—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—41no—
268C3×C4⋊C4—42no—
269C3×C4⋊C4—42no—
270C3×C22⋊C4—41no—
271C3×C22⋊C4—41no—
272C3×C22⋊C4—42no—
273C3×C22⋊C4—42no—
274C3×C22⋊C4—42no—
275C3×C42—21no—
276C3×C42—21no—
277#217—42no—
278#217—42no—
279#217—42no—
280#217—42no—
281#216—44no—
282#216—44no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289Dic3⋊C4—42no—
290Dic3⋊C4—42no—
291Dic3⋊C4—42no—
292C4×Dic3—42no—
293#208—44no—
294C2×C3⋊C8—21no—
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⋊C8C2×D412yes—
306C22×Q8—21no—
307C22×Q8—22no—
308C22×Q8—22no—
309C22×Q8—31no—
310C22×Q8—41no—
311C22×Q8—41no—
312C22×Q8—41no—
313C22×Q8—41no—
314C22×Q8C22×D311yescharacteristic
315C22×Q8C22×D311yescharacteristic
316C22×D4#6711yescharacteristic
317C23×C4—21no—
318C23×C4C22×D311yescharacteristic
319C23×C4C22×D311yescharacteristic
320C2×Q16—34no—
321C2×Q16—62no—
322C2×Q16—62no—
323C2×Q16—121no—
324C2×Q16—121no—
325C2×Q16—121no—
326C2×M16—62no—
327C2×M16—121no—
328C2×M16—121no—
329C22×C8—31no—
330C22×C8—31no—
331C22×C8—31no—
332C22×C8—31no—
333C22⋊Q8—22no—
334C22⋊Q8—22no—
335C22⋊Q8—41no—
336C22⋊Q8—41no—
337C22⋊Q8—62no—
338C22⋊Q8—62no—
339C22⋊Q8—121no—
340C22⋊Q8—121no—
341C4×Q8—121no—
342C4×Q8—121no—
343C4×D4—41no—
344C4×D4—41no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4#6711yescharacteristic
354C2×C4⋊C4C22×D311yescharacteristic
355C2×C4⋊C4C22×D311yescharacteristic
356C2×C22⋊C4—21no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4#6711yescharacteristic
364C2×C22⋊C4#6711yescharacteristic
365C2×C42—61no—
366C2×C42C22×D311yescharacteristic
367#107—121no—
368#106—62no—
369#103—62no—
370#103—62no—
371#103—62no—
372#103—62no—
373#103—121no—
374#103—121no—
375#103—121no—
376#103—121no—
377C22⋊C8—62no—
378C22⋊C8—121no—
379C22⋊C8—121no—
380#95—21no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—21no—
385#95—61no—
386#95—61no—
387#95—61no—
388#95—61no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3—21no—
401C23×C3—21no—
402C23×C3#13712yes—
403C23×C3C22×D411yescharacteristic
404C3×Q8—22no—
405C3×Q8—22no—
406C3×Q8—22no—
407C3×Q8—22no—
408C3×Q8—48no—
409C3×Q8—41no—
410C3×Q8—41no—
411C3×Q8—41no—
412C3×Q8—41no—
413C3×D4—44no—
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—22no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—48no—
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—41no—
439C2×C3×C4—41no—
440C2×C3×C4—41no—
441C2×C3×C4—41no—
442C2×C3×C4—41no—
443C2×C3×C4—41no—
444C2×C3×C4—41no—
445C2×C3×C4—41no—
446C2×C3×C4—41no—
447C2×C3×C4C22×D411yescharacteristic
448C2×C3×C4C2×#4111yescharacteristic
449C2×C3×C4H(5,𝔽2)11yescharacteristic
450C2×C3×C4H(5,𝔽2)11yescharacteristic
451C2×C3×C4H(5,𝔽2)11yescharacteristic
452C2×C3×C4H(5,𝔽2)11yescharacteristic
453C2×Dic3—22no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464C2×Dic3—41no—
465Dic6—22no—
466Dic6—22no—
467Dic6—41no—
468Dic6—41no—
469C3⋊C8—22no—
470C3⋊C8—41no—
471C3⋊C8—41no—
472C3⋊C8—41no—
473C24C2×#6711yescharacteristic
474C24C2×#6711yescharacteristic
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—21no—
485C2×Q8—32no—
486C2×Q8—42no—
487C2×Q8—42no—
488C2×Q8—42no—
489C2×Q8—44no—
490C2×Q8—44no—
491C2×Q8—44no—
492C2×Q8—44no—
493C2×Q8—61no—
494C2×Q8—61no—
495C2×Q8—61no—
496C2×Q8—61no—
497C2×Q8—61no—
498C2×Q8D3×D412yes—
499C2×Q8#23712yes—
500C2×D4—22no—
501C2×D4—41no—
502C2×D4—41no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—61no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4—61no—
526C22×C4C2×#6711yescharacteristic
527C22×C4C2×#6711yescharacteristic
528C22×C4C2×#6711yescharacteristic
529C22×C4C2×#6711yescharacteristic
530C22×C4C23×D311yescharacteristic
531Q16—124no—
532Q16—124no—
533M16—124no—
534C2×C8—32no—
535C2×C8—61no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—61no—
540C2×C8—61no—
541C2×C8—61no—
542C2×C8—61no—
543C2×C8—61no—
544C2×C8—61no—
545C2×C8—61no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—41no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—61no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—61no—
559C4⋊C4—122no—
560C4⋊C4—122no—
561C4⋊C4—122no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—122no—
568C22⋊C4—122no—
569C22⋊C4—122no—
570C22⋊C4—122no—
571C42—21no—
572C42—21no—
573C42—122no—
574C22×C3—22no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—41no—
578C22×C3—41no—
579C22×C3—41no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—41no—
588C22×C3#53411yescharacteristic
589C22×C3D4211yescharacteristic
590C22×C3#54611yescharacteristic
591C22×C3C2×#13711yescharacteristic
592C22×C3#57511yescharacteristic
593C22×C3#57811yescharacteristic
594C22×C3#57811yescharacteristic
595C3×C4—41no—
596C3×C4—41no—
597C3×C4—42no—
598C3×C4—42no—
599C3×C4—41no—
600C3×C4—41no—
601C3×C4—81no—
602C3×C4—81no—
603C3×C4#53411yescharacteristic
604C3×C4#53811yescharacteristic
605C3×C4#54611yescharacteristic
606C3×C4#56011yescharacteristic
607Dic3—42no—
608Dic3—81no—
609Dic3—81no—
610Dic3—81no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23#94212yes—
625C23C22×#6711yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—48no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—62no—
636Q8—62no—
637Q8—121no—
638Q8—121no—
639D4—44no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—48no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—62no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4C2×D3×D411yescharacteristic
686C2×C4C2×#23711yescharacteristic
687C2×C4#100411yescharacteristic
688C2×C4#100411yescharacteristic
689C2×C4#100411yescharacteristic
690C2×C4#100411yescharacteristic
691C8—62no—
692C8—121no—
693C8—121no—
694C8—121no—
695C2×C3—42no—
696C2×C3—81no—
697C2×C3#266811yescharacteristic
698C2×C3#319611yescharacteristic
699C2×C3#320211yescharacteristic
700C2×C3#327011yescharacteristic
701C2×C3#327711yescharacteristic
702C2×C3#331211yescharacteristic
703C2×C3#332711yescharacteristic
704C22—22no—
705C22—22no—
706C22—22no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22D4×#6711yescharacteristic
719C22#580411yescharacteristic
720C22#580611yescharacteristic
721C22C2×#94211yescharacteristic
722C22#582211yescharacteristic
723C22#583811yescharacteristic
724C22#583811yescharacteristic
725C4—41no—
726C4—41no—
727C4—41no—
728C4—42no—
729C4—42no—
730C4—41no—
731C4—81no—
732C4—81no—
733C4—122no—
734C4—241no—
735C4—241no—
736C4—241no—
737C4#558911yescharacteristic
738C4#559111yescharacteristic
739C4#559311yescharacteristic
740C4#559511yescharacteristic
741C3#3042711yescharacteristic, complemented, Sylow
742C2—42no—
743C2—81no—
744C2#8260811yescharacteristic
745C2#8273911yescharacteristic
746C2#8341311yescharacteristic
747C2#8354111yescharacteristic
748C2#8354811yescharacteristic
749C2#8355211yescharacteristic
750C2#8356511yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2409C2
socleC23×C3C22×D4
prime radicalC22×C3×D4D4
hypercenter#2409D3
hypocenterC3#30427
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2409

Complements

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

NH ≅ G/Ntype
2. C2×#5228C2semidirect
3. C2×#5052C2semidirect
5. #72132C2semidirect
6. #71700C2semidirect
7. #71697C2semidirect
8. #71695C2semidirect
10. #69690C2semidirect
11. #69690C2semidirect
12. #69686C2semidirect
13. #69671C2semidirect
14. #69527C2semidirect
15. #69507C2semidirect
117. C2×#216D4semidirect
741. C3#30427semidirect

Maximal subgroups

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

subgroupindex
C3×#24092
C2×#52282
C2×#50522
#823752
#721322
#717002
#716972
#716952
#716112
#696902
#696862
#696712
#695272
#695072
#304273