Finite Group Databasebeta

← #25129913

Subgroups — #25129913

Order 11008.

1176 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583428C211yesmaximal, characteristic
2C2×#14583228C211yesmaximal, characteristic, complemented
3C2×#14583211C211yesmaximal, characteristic
4#389×D43C211yesmaximal, characteristic, complemented
5#19135934C211yesmaximal, characteristic, complemented
6#19135933C211yesmaximal, characteristic, complemented
7#19135831C211yesmaximal, characteristic, complemented
8#19134909C211yesmaximal, characteristic
9#19134899C211yesmaximal, characteristic, complemented
10#19134858C211yesmaximal, characteristic, complemented
11#19134854C211yesmaximal, characteristic, complemented
12#19134851C211yesmaximal, characteristic, complemented
13#19134847C211yesmaximal, characteristic, complemented
14#19134662C211yesmaximal, characteristic, complemented
15C43×#2042C211yesmaximal, characteristic, complemented
16#14583428—24no—
17#14583428—24no—
18C2×#13063318—21no—
19C2×#13063317C2211yescharacteristic
20C2×#13063307—21no—
21C2×#13063301C2211yescharacteristic
22C2×#13063296C2211yescharacteristic
23C2×Q8×Dic43C2211yescharacteristic
24C2×D4×Dic43C2211yescharacteristic
25C2×(C22⋊D43)⋊C4—21no—
26C2×#13063281—21no—
27C2×C4⋊C4×D43—21no—
28C2×C4⋊C4×D43C2211yescharacteristic
29C2×C4⋊C4×D43C2211yescharacteristic
30C2×C42×D43C2211yescharacteristic
31#14583228—24no—
32#14583211—24no—
33C2×#13063259C2211yescharacteristic
34C2×#13063258C2211yescharacteristic
35C2×#13063257C2211yescharacteristic
36C2×#13063256C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×#13063246C2211yescharacteristic
40C2×#13063246C2211yescharacteristic
41C2×(C2×D43)⋊C8C2211yescharacteristic
42C2×(C2×D43)⋊C8C2211yescharacteristic
43#14582798C2211yescharacteristic
44#14582797C2211yescharacteristic
45#14582796—21no—
46#14582795C2211yescharacteristic
47#14582794—21no—
48#95×D43—21no—
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×#124×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C43×#389C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×C22⋊D43—21no—
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43D411yescharacteristic
68C22×C4×D43D411yescharacteristic
69C22×C4×D43C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063318—28no—
73#13063317—22no—
74#13063317—22no—
75#13063307—28no—
76#13063301—22no—
77#13063301D414yes—
78#13063296—22no—
79#13063296D414yes—
80Q8×Dic43—22no—
81Q8×Dic43—22no—
82D4×Dic43—22no—
83D4×Dic43—22no—
84(C22⋊D43)⋊C4—28no—
85#13063281—28no—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C4⋊C4×D43—22no—
100C4⋊C4×D43—22no—
101C4⋊C4×D43—22no—
102C4⋊C4×D43—22no—
103C4⋊C4×D43—44no—
104C2×C22⋊Dic43—21no—
105C2×C22⋊Dic43—21no—
106C2×(C2×D43)⋊C4—21no—
107C2×C4×Dic43—21no—
108C2×C4×Dic43D411yescharacteristic
109C2×C4×Dic43D411yescharacteristic
110C2×C4×Dic43C2311yescharacteristic
111C42×D43—22no—
112C42×D43—22no—
113#13063259—22no—
114#13063258—22no—
115#13063257—22no—
116#13063256—22no—
117#13063249—22no—
118#13063249—22no—
119#13063246—22no—
120#13063246—22no—
121(C2×D43)⋊C8—22no—
122(C2×D43)⋊C8—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C22×Q8×C43C2311yescharacteristic
127C22×D4×C43C2311yescharacteristic
128C22×C8×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130#124×C43—22no—
131#124×C43—22no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C22⋊C4×C43—21no—
136C2×C22⋊C4×C43—21no—
137C2×C42×C43C2311yescharacteristic
138#103×C43—22no—
139#103×C43—22no—
140#102×C43—22no—
141#102×C43—22no—
142#95×C43—21no—
143C24×C43—21no—
144C23×D43C2×D411yescharacteristic
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43C2×D412yes—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43C2×D412yes—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2411yescharacteristic
163C2×C22⋊D43—24no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—42no—
166C22×Dic43—24no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C4×D43—21no—
179C2×C4×D43—21no—
180C2×C4×D43—24no—
181C2×C4×D43—22no—
182C2×C4×D43—22no—
183C2×C4×D43—22no—
184C2×C4×D43—22no—
185C2×C4×D43—22no—
186C2×C4×D43—41no—
187C2×C4×D43—42no—
188C2×C4×D43—42no—
189C2×C4×D43—42no—
190C2×C4×D43—42no—
191C2×C4×D43—42no—
192C2×C4×D43C2×D412yes—
193C2×C4×D43C2×D412yes—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—42no—
204C4⋊C4×C43#4112yes—
205C22⋊C4×C43—24no—
206C22⋊C4×C43—24no—
207C42×C43—21no—
208C42×C43—21no—
209C22⋊Dic43—24no—
210C22⋊Dic43—24no—
211(C2×D43)⋊C4—24no—
212C4⋊Dic43—24no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—42no—
219C4⋊Dic43C2×D412yes—
220C4⋊Dic43C2×D412yes—
221C4⋊Dic43#4112yes—
222Dic43⋊C4—24no—
223Dic43⋊C4—24no—
224Dic43⋊C4—24no—
225Dic43⋊C4—24no—
226Dic43⋊C4—42no—
227Dic43⋊C4—42no—
228Dic43⋊C4—42no—
229C4×Dic43—24no—
230C4×Dic43—21no—
231C4×Dic43—21no—
232C4×Dic43—22no—
233C4×Dic43—22no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C23×C43—22no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43C22×D411yescharacteristic
248C22×D43—21no—
249C22×D43—21no—
250C22×D43—21no—
251C22×D43—21no—
252C22×D43#12012yes—
253C22×D43#13512yes—
254C22×D43AGL(1,ℤ/8)12yes—
255Q8×C43—22no—
256Q8×C43—22no—
257Q8×C43—41no—
258Q8×C43—41no—
259D4×C43—22no—
260D4×C43—22no—
261D4×C43—41no—
262D4×C43—41no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
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—41no—
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C432−1+411yescharacteristic
283C2×C4×C432−1+411yescharacteristic
284C22⋊D43—48no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—48no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43#12012yes—
306C2×Dic43#13712yes—
307C4×D43—22no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—22no—
311C4×D43—44no—
312C4×D43—48no—
313C4×D43—44no—
314C4×D43—84no—
315C8×C43—41no—
316C8×C43—41no—
317C43⋊C8—41no—
318C43⋊C8—41no—
319#24066—431nomaximal, Sylow
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43C2×#12011yescharacteristic
328C22×C43#52511yescharacteristic
329C22×C43#53611yescharacteristic
330C22×C43C2×#13511yescharacteristic
331C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
332C22×C43C2×#13711yescharacteristic
333C22×C43#57511yescharacteristic
334C2×D43—22no—
335C2×D43—22no—
336C2×D43—22no—
337C2×D43—22no—
338C2×D43—22no—
339C2×D43—22no—
340C2×D43#44914yes—
341C4×C43—42no—
342C4×C43—42no—
343C4×C43—41no—
344C4×C43—41no—
345C4×C43—81no—
346C4×C43#54711yescharacteristic
347C4×C43#54711yescharacteristic
348C4×C43#54711yescharacteristic
349C4×C43#54711yescharacteristic
350Dic43—22no—
351Dic43—22no—
352Dic43—42no—
353Dic43—41no—
354Dic43—42no—
355Dic43—42no—
356Dic43—81no—
357C2×#529—431no—
358C2×#483—431no—
359C2×#480—431no—
360C2×#389—431no—
361#2059—431no—
362#2059—431no—
363#2042—431no—
364#2042D4311yescharacteristic, complemented
365#1874—431no—
366#1872—431no—
367#1864—431no—
368#1864—431no—
369#1863—431no—
370#1863—431no—
371#1817—431no—
372C2×C43—82no—
373C2×C43#240611yescharacteristic
374C2×C43C2×#44911yescharacteristic
375C2×C43#300711yescharacteristic
376C2×C43#310811yescharacteristic
377C2×C43#311411yescharacteristic
378C2×C43#323211yescharacteristic
379C2×C43#323811yescharacteristic
380D43—24no—
381#529—864no—
382#529—864no—
383C2×#126—861no—
384C2×#125—431no—
385C2×#124C2×D4311yescharacteristic
386C2×#123—861no—
387C2×C22⋊Q8—431no—
388C2×#121—431no—
389C2×C4×Q8—431no—
390C2×C4×D4—431no—
391C2×C4×D4—861no—
392C2×#117—861no—
393C22×C4⋊C4—431no—
394C22×C4⋊C4—431no—
395C22×C4⋊C4—861no—
396C22×C42—431no—
397#483—864no—
398#480—864no—
399C2×#107—431no—
400C2×#107—431no—
401C2×#106—431no—
402C2×#106—431no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#103C2×D4311yescharacteristic
406C2×#103C2×D4311yescharacteristic
407C2×#102—431no—
408C2×#102—431no—
409C2×#102C2×D4311yescharacteristic
410C2×#102C2×D4311yescharacteristic
411C2×C22⋊C8—431no—
412C2×C22⋊C8—431no—
413#389—431no—
414#389—431no—
415#389—431no—
416#389—861no—
417#389—861no—
418#389C2×D4311yescharacteristic
419C2×#95—861no—
420#340—431no—
421#340—431no—
422#340—431no—
423#340—431no—
424#336—431no—
425#336—431no—
426#336—431no—
427#336C2×D4311yescharacteristic
428C43#2406611yescharacteristic, complemented, Sylow
429C22×Q8C22×D4311yescharacteristic
430C22×D4—861no—
431C22×D4C22×D4311yescharacteristic
432C23×C4—431no—
433C23×C4—431no—
434C23×C4—431no—
435C23×C4—861no—
436C23×C4—861no—
437C23×C4—861no—
438C22×C8—431no—
439C22×C8—431no—
440C22×C8C22×D4311yescharacteristic
441C22×C8C22×D4311yescharacteristic
442#126—868no—
443#125—862no—
444#125—862no—
445#124—22no—
446#124—22no—
447#123—868no—
448C22⋊Q8—434no—
449C22⋊Q8—862no—
450#121—434no—
451#121—862no—
452C4×Q8—862no—
453C4×Q8—862no—
454C4×D4—868no—
455C4×D4—862no—
456C4×D4—862no—
457#117—868no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—862no—
464C2×C4⋊C4—862no—
465C2×C4⋊C4—862no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—862no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—1724no—
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C42—431no—
485C2×C42—431no—
486C2×C42—431no—
487C2×C42—862no—
488C2×C42—862no—
489C2×C42—861no—
490C2×C42C22×D4311yescharacteristic
491#107—862no—
492#107—862no—
493#106—862no—
494#106—862no—
495#103—22no—
496#103—22no—
497#103—862no—
498#103—862no—
499#102—22no—
500#102—22no—
501#102—862no—
502#102—862no—
503C22⋊C8—862no—
504C22⋊C8—862no—
505#95—21no—
506#95—861no—
507#95—861no—
508#95—861no—
509C24—21no—
510C24—431no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8D4×D4312yes—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—864no—
523C2×D4—1722no—
524C2×D4—1722no—
525C2×D4D4×D4312yes—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—431no—
530C22×C4—431no—
531C22×C4—432no—
532C22×C4—432no—
533C22×C4—431no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—864no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—864no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—1721no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4—1722no—
554C22×C4—1722no—
555C22×C4—1722no—
556C22×C4—1722no—
557C22×C4D4×D4311yescharacteristic
558C22×C4D4×D4311yescharacteristic
559C22×C4C23×D4311yescharacteristic
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8—861no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—432no—
577C4⋊C4—432no—
578C4⋊C4—432no—
579C4⋊C4—864no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—1722no—
590C4⋊C4—1722no—
591C4⋊C4—1722no—
592C4⋊C4—1722no—
593C4⋊C4#1062190012yes—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—864no—
597C22⋊C4—864no—
598C22⋊C4—864no—
599C42—21no—
600C42—21no—
601C42—862no—
602C42—862no—
603C42—864no—
604C42—861no—
605C42—861no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—432no—
614C23—432no—
615C23—432no—
616C23—861no—
617C23—861no—
618C23—861no—
619C23—861no—
620C23C2×D4×D4311yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—41no—
624Q8—41no—
625D4—22no—
626D4—22no—
627D4—41no—
628D4—41no—
629D4—1728no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—432no—
646C2×C4—432no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—862no—
652C2×C4—862no—
653C2×C4—862no—
654C2×C4—862no—
655C2×C4—861no—
656C2×C4—862no—
657C2×C4—862no—
658C2×C4—862no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—3444no—
662C2×C4—1724no—
663C2×C4—1724no—
664C2×C4—1728no—
665C2×C4—1728no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4C2×D4×D4311yescharacteristic
676C2×C4C2×D4×D4311yescharacteristic
677C2×C4#41×D4311yescharacteristic
678C2×C4C2×#1062190011yescharacteristic
679C2×C4#1306337211yescharacteristic
680C2×C4#1306337211yescharacteristic
681C8—41no—
682C8—41no—
683C8—1721no—
684C8—1721no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—434no—
693C22—862no—
694C22—862no—
695C22—862no—
696C22—862no—
697C22—862no—
698C22—862no—
699C22#120×D4311yescharacteristic
700C22#1458340911yescharacteristic
701C22#1458346911yescharacteristic
702C22#135×D4311yescharacteristic
703C22AGL(1,ℤ/8)×D4311yescharacteristic
704C22#137×D4311yescharacteristic
705C22#1458369611yescharacteristic
706C4—42no—
707C4—41no—
708C4—42no—
709C4—41no—
710C4—81no—
711C4—862no—
712C4—862no—
713C4—3441no—
714C4—1722no—
715C4—1721no—
716C4—1722no—
717C4—1722no—
718C4#1458354711yescharacteristic
719C4#1458354711yescharacteristic
720C4#1458354911yescharacteristic
721C4#1458354911yescharacteristic
722C2—82no—
723C2—864no—
724C2#1913792511yescharacteristic
725C2#449×D4311yescharacteristic
726C2#1914385211yescharacteristic
727C2#1914467411yescharacteristic
728C2#1914473211yescharacteristic
729C2#1914575811yescharacteristic
730C2#1914581211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2042C2
socleC23×C43C22×D4
prime radicalC2×#13063296C22
hypercenter#2042D43
hypocenterC43#24066
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2042

Complements

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

NH ≅ G/Ntype
2. C2×#14583228C2semidirect
4. #389×D43C2semidirect
5. #19135934C2semidirect
6. #19135933C2semidirect
7. #19135831C2semidirect
9. #19134899C2semidirect
10. #19134858C2semidirect
11. #19134854C2semidirect
12. #19134851C2semidirect
13. #19134847C2semidirect
14. #19134662C2semidirect
15. C43×#2042C2semidirect
364. #2042D43semidirect
428. C43#24066semidirect

Maximal subgroups

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

subgroupindex
C2×#145834282
C2×#145832282
C2×#145832112
#389×D432
#191359342
#191359332
#191358312
#191349092
#191348992
#191348582
#191348542
#191348512
#191348472
#191346622
C43×#20422
#2406643