Finite Group Databasebeta

← #25154071

Subgroups — #25154071

Order 11008.

1032 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583186C211yesmaximal, characteristic, complemented
2C2×#14582898C211yesmaximal, characteristic
3#19137426C211yesmaximal, characteristic
4#19136139C211yesmaximal, characteristic, complemented
5#19135987C211yesmaximal, characteristic, complemented
6#19135973C211yesmaximal, characteristic, complemented
7#19135733C211yesmaximal, characteristic, complemented
8#19134855C211yesmaximal, characteristic, complemented
9#19134841C211yesmaximal, characteristic, complemented
10#19134788C211yesmaximal, characteristic, complemented
11#19134780C211yesmaximal, characteristic, complemented
12#19134626C211yesmaximal, characteristic, complemented
13#19134592C211yesmaximal, characteristic, complemented
14#19134533C211yesmaximal, characteristic
15C43×#2440C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×C4×D172C2211yescharacteristic
20#14583186—24no—
21C2×#13063258C2211yescharacteristic
22C2×#13063256C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063256C2211yescharacteristic
25C2×C4⋊(C43⋊C8)C2211yescharacteristic
26C2×C4⋊(C43⋊C8)C2211yescharacteristic
27#14582898—24no—
28C2×#13063248C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063245C2211yescharacteristic
36C2×C22⋊(C43⋊C8)C2211yescharacteristic
37#14582805C2211yescharacteristic
38#14582805C2211yescharacteristic
39#14582775—21no—
40#14582775—21no—
41#14582761—21no—
42#14582759C2211yescharacteristic
43#95×D43—21no—
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C2×C4⋊Q8×C43C2211yescharacteristic
51C2×C22⋊Q8×C43—21no—
52C22×C4⋊C4×C43C2211yescharacteristic
53C43×#398—21no—
54C43×#395—21no—
55C43×#389C2211yescharacteristic
56C43×#389C2211yescharacteristic
57C43×#385—21no—
58C43×#384C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C4×C22⋊C4×C43C2211yescharacteristic
61C2×#10621898—22no—
62C2×#10621898—22no—
63C2×#10621898—22no—
64C2×#10621898—41no—
65C2×#10621898—41no—
66C2×#10621898Q814yescomplemented
67C22×Dic86C2311yescharacteristic
68C22×D172C2311yescharacteristic
69C22×C22⋊D43—21no—
70C22×C4×D43—21no—
71C22×C4×D43—21no—
72C22×C4×D43—21no—
73C2×#10621877—22no—
74C2×#10621877—22no—
75C2×#10621877—41no—
76C22×C43⋊C8C2311yescharacteristic
77C22×C43⋊C8C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80C4×D172—22no—
81C4×D172—22no—
82C4×D172—41no—
83C4×D172—41no—
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C22⋊Dic43—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89#13063258—41no—
90#13063256—22no—
91#13063256—22no—
92#13063256—41no—
93C4⋊(C43⋊C8)—22no—
94C4⋊(C43⋊C8)—41no—
95#13063248—22no—
96#13063248—22no—
97#13063248—41no—
98#13063248—41no—
99#13063245—22no—
100#13063245—22no—
101#13063245—22no—
102#13063245D414yes—
103C22⋊(C43⋊C8)—22no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C22×Q8×C43—21no—
110C23×C4×C43—21no—
111C23×C4×C43C2311yescharacteristic
112C4⋊Q8×C43—22no—
113C4⋊Q8×C43—41no—
114C22⋊Q8×C43—44no—
115C2×C4⋊C4×C43—22no—
116C2×C4⋊C4×C43—21no—
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43—21no—
119C2×C4⋊C4×C43—21no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43—41no—
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C22⋊C4×C43—21no—
128C2×C22⋊C4×C43D411yescharacteristic
129C2×C22⋊C4×C43D411yescharacteristic
130C2×C42×C43C2311yescharacteristic
131C2×C42×C43C2311yescharacteristic
132#95×C43—21no—
133#95×C43—21no—
134#95×C43—21no—
135#95×C43D411yescharacteristic
136#95×C43D411yescharacteristic
137C24×C43C2×D411yescharacteristic
138C23×D43—21no—
139C2×Q8×C43—42no—
140C2×Q8×C43—42no—
141C2×Q8×C43—81no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—42no—
151C22×C4×C43—42no—
152C22×C4×C43—81no—
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×Q812yes—
159C22×C4×C43#4112yes—
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—24no—
162C2×C22⋊D43—42no—
163C2×C22⋊D43—42no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167#10621898—28no—
168#10621898—44no—
169#10621898—44no—
170#10621898—44no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172C2×D412yes—
175C2×D172C2×Q812yes—
176C2×D172#4112yes—
177C2×C4×D43—24no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183C2×C4×D43—42no—
184C2×C4×D43—81no—
185C2×C4×D43—81no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86C2×Q812yes—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—42no—
200C4⋊C4×C43—42no—
201C4⋊C4×C43—42no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43—42no—
204C4⋊C4×C43—81no—
205C4⋊C4×C43C2×D412yes—
206C22⋊C4×C43—22no—
207C22⋊C4×C43—22no—
208C22⋊C4×C43—42no—
209C42×C43—21no—
210C42×C43—21no—
211C42×C43—21no—
212C42×C43—21no—
213C22⋊Dic43—81no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220#10621877—44no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8C2×D412yes—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43C22⋊Q812yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—22no—
242C22×D43—22no—
243C22×D43—22no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248Q8×C43—84no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—84no—
278C2×C4×C43C22⋊Q812yes—
279C2×C4×C43AGL(1,ℤ/8)12yes—
280C2×C4×C43#13712yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×Q811yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C43H(5,𝔽2)11yescharacteristic
287C22⋊D43—48no—
288C2×Dic43—22no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297D172—22no—
298D172—22no—
299D172—22no—
300D172C22⋊Q814yescomplemented
301C4×D43—48no—
302C4×D43—84no—
303C4×D43—84no—
304Dic86—22no—
305Dic86—22no—
306Dic86—41no—
307Dic86—41no—
308C43⋊C8—22no—
309C43⋊C8—41no—
310C43⋊C8—41no—
311C43⋊C8—41no—
312#25978—431nomaximal, Sylow
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—22no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43C2×C22⋊Q811yescharacteristic
321C22×C43D4211yescharacteristic
322C22×C43#54611yescharacteristic
323C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
324C22×C43C2×#13711yescharacteristic
325C22×C43#57711yescharacteristic
326C22×C43#57711yescharacteristic
327C2×D43—24no—
328C2×D43—42no—
329C2×D43—42no—
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C4×C43—22no—
335C4×C43—22no—
336C4×C43—22no—
337C4×C43—41no—
338C4×C43—41no—
339C4×C43—42no—
340C4×C43—81no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43C2×C22⋊Q811yescharacteristic
344C4×C43#54311yescharacteristic
345C4×C43#54611yescharacteristic
346C4×C43#55111yescharacteristic
347Dic43—42no—
348Dic43—81no—
349Dic43—81no—
350C2×#476—431no—
351C2×#417—431no—
352#2440D4311yescharacteristic, complemented
353#2339—431no—
354#2096—431no—
355#2068—431no—
356#2066—431no—
357#2024—431no—
358#1864—431no—
359#1862—431no—
360#1853—431no—
361#1851—431no—
362#1809—431no—
363#1802—431no—
364#1788—431no—
365C2×C43—42no—
366C2×C43#243711yescharacteristic
367C2×C43#307911yescharacteristic
368C2×C43#308411yescharacteristic
369C2×C43#326611yescharacteristic
370C2×C43#327211yescharacteristic
371C2×C43#330611yescharacteristic
372C2×C43#333111yescharacteristic
373D43—44no—
374C22×#41—431no—
375C22×M16—431no—
376C2×C4⋊Q8C2×D4311yescharacteristic
377C2×C22⋊Q8—21no—
378C2×C4×D4—431no—
379C2×C4×D4—431no—
380C22×C4⋊C4C2×D4311yescharacteristic
381#476—864no—
382C2×#107—431no—
383C2×#106—431no—
384C2×#106—431no—
385C2×#106—431no—
386C2×C4⋊C8—431no—
387C2×C4⋊C8—431no—
388#417—864no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#102—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×#102—431no—
397C2×C22⋊C8—431no—
398#398—21no—
399#395—21no—
400#391—431no—
401#391—431no—
402#389C2×D4311yescharacteristic
403#389C2×D4311yescharacteristic
404#386—861no—
405#386—861no—
406#385—21no—
407#384C2×D4311yescharacteristic
408#381—861no—
409#380—431no—
410#380C2×D4311yescharacteristic
411C4×C22⋊C4C2×D4311yescharacteristic
412C2×#95—861no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419C43#2597811yescharacteristic, complemented, Sylow
420C2×#41—434no—
421C2×#41—862no—
422C2×#41—862no—
423C2×#41—862no—
424C2×#41—1721no—
425C2×#41—1721no—
426C22×Q8—21no—
427C22×Q8—431no—
428C22×D4—431no—
429C22×D4—861no—
430C23×C4—21no—
431C23×C4—861no—
432C23×C4—861no—
433C23×C4—861no—
434C23×C4C22×D4311yescharacteristic
435C2×M16—862no—
436C2×M16—862no—
437C2×M16—1721no—
438C22×C8—431no—
439C22×C8—431no—
440C22×C8—431no—
441C22×C8—431no—
442C4⋊Q8—22no—
443C4⋊Q8—41no—
444C22⋊Q8—44no—
445C4×D4—862no—
446C4×D4—862no—
447C4×D4—1721no—
448C4×D4—1721no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—41no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4C22⋊D4311yescharacteristic
468C2×C22⋊C4C22⋊D4311yescharacteristic
469C2×C42C22×D4311yescharacteristic
470C2×C42C22×D4311yescharacteristic
471#107—1721no—
472#106—862no—
473#106—862no—
474#106—1721no—
475C4⋊C8—862no—
476C4⋊C8—1721no—
477#103—862no—
478#103—862no—
479#103—1721no—
480#103—1721no—
481#102—434no—
482#102—862no—
483#102—862no—
484#102—862no—
485C22⋊C8—862no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95C22⋊D4311yescharacteristic
495#95C22⋊D4311yescharacteristic
496C24—861no—
497C24C2×C22⋊D4311yescharacteristic
498#41—868no—
499#41—1724no—
500#41—1724no—
501#41—1724no—
502C2×Q8—42no—
503C2×Q8—42no—
504C2×Q8—81no—
505C2×Q8—432no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×D4—432no—
512C2×D4—432no—
513C2×D4—432no—
514C2×D4—864no—
515C2×D4—861no—
516C2×D4—861no—
517C2×D4—861no—
518C2×D4—1722no—
519C2×D4—1722no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—81no—
531C22×C4—861no—
532C22×C4—864no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4—3441no—
536C22×C4—3441no—
537C22×C4—1722no—
538C22×C4—1722no—
539C22×C4—1722no—
540C22×C4—1722no—
541C22×C4—1722no—
542C22×C4—1722no—
543C22×C4Q8×D4312yes—
544C22×C4#1062190212yes—
545C22×C4C2×C22⋊D4311yescharacteristic
546C22×C4C2×C22⋊D4311yescharacteristic
547C22×C4C2×C22⋊D4311yescharacteristic
548C22×C4C2×C22⋊D4311yescharacteristic
549C22×C4C2×C22⋊D4311yescharacteristic
550C22×C4C23×D4311yescharacteristic
551M16—1724no—
552C2×C8—432no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—81no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4D4×D4312yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—42no—
585C22⋊C4—3441no—
586C22⋊C4—1722no—
587C22⋊C4—1722no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—862no—
599C23—862no—
600C23—862no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23#1306330112yes—
606C23C22×C22⋊D4311yescharacteristic
607Q8—84no—
608Q8—862no—
609Q8—862no—
610Q8—1721no—
611Q8—1721no—
612D4—434no—
613D4—862no—
614D4—862no—
615D4—862no—
616D4—1728no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—862no—
647C2×C4—3444no—
648C2×C4—3444no—
649C2×C4—1728no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4#1306330112yes—
659C2×C4#1306335112yes—
660C2×C4#1306335612yes—
661C2×C4C2×D4×D4311yescharacteristic
662C2×C4C2×Q8×D4311yescharacteristic
663C2×C4#41×D4311yescharacteristic
664C2×C4C2×#1062190211yescharacteristic
665C2×C4#1306337011yescharacteristic
666C2×C4#1306337111yescharacteristic
667C8—862no—
668C8—1721no—
669C8—1721no—
670C8—1721no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—864no—
679C22—1722no—
680C22—1722no—
681C22—1722no—
682C22—1722no—
683C22—1722no—
684C22—1722no—
685C22C2×#1306330111yescharacteristic
686C22D4×C22⋊D4311yescharacteristic
687C22#1458353711yescharacteristic
688C22C2×#1306335111yescharacteristic
689C22C2×#1306335611yescharacteristic
690C22#1458370711yescharacteristic
691C22#1458371011yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—3441no—
702C4—3441no—
703C4—1722no—
704C4C22⋊Q8×D4311yescharacteristic
705C4#1458352411yescharacteristic
706C4#1458354011yescharacteristic
707C4#1458357611yescharacteristic
708C2—42no—
709C2—1724no—
710C2#1913825811yescharacteristic
711C2#1914440411yescharacteristic
712C2#1914445311yescharacteristic
713C2#1914610611yescharacteristic
714C2#1914619111yescharacteristic
715C2#1914655011yescharacteristic
716C2#1914690511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2440C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
hypercenter#2440D43
hypocenterC43#25978
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. C2×#14583186C2semidirect
4. #19136139C2semidirect
5. #19135987C2semidirect
6. #19135973C2semidirect
7. #19135733C2semidirect
8. #19134855C2semidirect
9. #19134841C2semidirect
10. #19134788C2semidirect
11. #19134780C2semidirect
12. #19134626C2semidirect
13. #19134592C2semidirect
15. C43×#2440C2semidirect
66. C2×#10621898Q8semidirect
300. D172C22⋊Q8semidirect
352. #2440D43semidirect
419. C43#25978semidirect

Maximal subgroups

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

subgroupindex
C2×#145831862
C2×#145828982
#191374262
#191361392
#191359872
#191359732
#191357332
#191348552
#191348412
#191347882
#191347802
#191346262
#191345922
#191345332
C43×#24402
#2597843