Finite Group Databasebeta

← #29647703

Subgroups — #29647703

Order 15616.

1338 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459484C211yesmaximal, characteristic
2#21454265C211yesmaximal, characteristic, complemented
3#21448656C211yesmaximal, characteristic, complemented
4#21444385C212yesmaximal, complemented
5#21444360C211yesmaximal, characteristic, complemented
6#21444359C212yesmaximal, complemented
7#21444335C211yesmaximal, characteristic, complemented
8#21444333C212yesmaximal, complemented
9#21444311C211yesmaximal, characteristic, complemented
10#21444307C212yesmaximal, complemented
11C61×#1519C211yesmaximal, characteristic, complemented
12C2×#14519822C411yescharacteristic, complemented
13C22×#11758222C2211yescharacteristic
14C2×#14519783—21no—
15#16840430—21no—
16#16840418—21no—
17#16840409—21no—
18#16840402—22no—
19#16840396—21no—
20D4×C22⋊D61—22no—
21#16840343C411yescharacteristic, complemented
22#16840341C412yescomplemented
23#16840329C411yescharacteristic, complemented
24#16840328C412yescomplemented
25#16840273C2211yescharacteristic
26#16840272C2212yes—
27#121×D61C2212yes—
28#16840243C411yescharacteristic, complemented
29C2×#14519742—21no—
30#16839728—21no—
31#16839727—22no—
32#16839726C2211yescharacteristic, complemented
33#16839724C2212yescomplemented
34C22⋊C8×D61C2212yescomplemented
35#16839663—21no—
36#16839662—22no—
37#16839621C2212yescomplemented
38C4×C22⋊Dic61C2211yescharacteristic, complemented
39#16839609C2212yescomplemented
40#16839500C2211yescharacteristic, complemented
41#16839500C2211yescharacteristic, complemented
42#16839498C2212yescomplemented
43#16839497C2211yescharacteristic, complemented
44#16839497C2211yescharacteristic, complemented
45#16839496C2212yescomplemented
46#16839496C2212yescomplemented
47#16839495C2212yescomplemented
48C2×#121×C61C2211yescharacteristic
49C2×C22⋊C8×C61C2211yescharacteristic, complemented
50C61×#380C2211yescharacteristic, complemented
51C61×#327C2212yescomplemented
52C61×#327C2212yescomplemented
53#14519822—44no—
54C2×#11758222—44no—
55C2×#11758222C2×C411yescharacteristic
56C2×#11758222C2×C412yes—
57C2×#11758222C2×C411yescharacteristic
58C2×#11758222C2×C411yescharacteristic
59C2×#11758222D411yescharacteristic
60C2×#11758222D412yes—
61C2×#11758222D411yescharacteristic
62C2×#11758224—21no—
63C2×#11758224C2×C412yes—
64C22×Dic122D411yescharacteristic
65C22×D244D411yescharacteristic
66C22×C22⋊D61—22no—
67C22×C22⋊D61D412yes—
68C2×D4×D61—22no—
69C2×D4×D61—21no—
70C2×D4×D61C2×C412yes—
71C22×C4×D61C2312yes—
72#14519783—44no—
73C2×#11758194—21no—
74C2×#11758189—22no—
75C2×C8×D61—22no—
76#14519773—22no—
77#14519773—21no—
78#14519764—21no—
79#14519763—22no—
80#14519760—21no—
81#14519759—22no—
82#14519757—21no—
83#14519757C2×C412yes—
84#14519756C2×C411yescharacteristic
85#14519756C2311yescharacteristic
86#14519754—22no—
87#14519752—21no—
88#14519752C2×C412yes—
89#14519751—22no—
90#14519751C2×C411yescharacteristic
91#14519751C2311yescharacteristic
92#14519750—22no—
93#14519750—22no—
94#14519749—22no—
95#14519749—22no—
96#14519748—22no—
97#14519748C2×C412yes—
98#14519748C2×C412yes—
99#14519747—22no—
100#14519746—21no—
101#14519746—22no—
102#14519745—22no—
103#14519745—22no—
104#14519742—21no—
105#14519742—44no—
106D4×Dic61—22no—
107#14519739—21no—
108C4×C22⋊D61—21no—
109C4×C22⋊D61—21no—
110C4×C22⋊D61—22no—
111#14519737—22no—
112#14519736C2×C411yescharacteristic
113#14519735C2×C412yes—
114C2×#11758196—22no—
115C4⋊C4×D61C2×C412yes—
116C2×C22⋊Dic61—21no—
117C2×#11758198—22no—
118C2×#11758198—22no—
119C22⋊C4×D61—22no—
120C2×C4×Dic61—21no—
121C2×C4×Dic61—22no—
122C22⋊#92418—21no—
123C22⋊#92418C2312yes—
124#14519689—22no—
125#14519689—22no—
126#14519684C2311yescharacteristic
127#14519684C2311yescharacteristic
128C22×D4×C61—21no—
129C22×D4×C61C2×C411yescharacteristic
130C23×C4×C61C2311yescharacteristic
131C22×C8×C61—21no—
132#121×C61—21no—
133#121×C61—21no—
134#121×C61C2×C412yes—
135#121×C61C2312yes—
136C2×C4⋊C4×C61—21no—
137C2×C4⋊C4×C61C2×C411yescharacteristic
138C2×C22⋊C4×C61—21no—
139C2×C22⋊C4×C61—21no—
140C22⋊C8×C61—21no—
141C22⋊C8×C61C2311yescharacteristic
142C22⋊C8×C61C2311yescharacteristic
143#95×C61C2312yes—
144C24×C61—21no—
145C24×C61C2×D411yescharacteristic
146C23×D61—22no—
147C23×D61C2×D412yes—
148C2×D4×C61—22no—
149C2×D4×C61—22no—
150C2×D4×C61—21no—
151C2×D4×C61—42no—
152C2×D4×C61—81no—
153C2×D4×C61—81no—
154C2×D4×C61C22×C412yes—
155C22×C4×C61—21no—
156C22×C4×C61—22no—
157C22×C4×C61—42no—
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C22×C411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—21no—
165C2×C22⋊D61—21no—
166C2×C22⋊D61—22no—
167C2×C22⋊D61—21no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—22no—
171C2×C22⋊D61—44no—
172C2×C22⋊D61—48no—
173C2×C22⋊D61C22⋊C412yes—
174C2×C22⋊D61C22⋊C412yes—
175C2×C22⋊D61C22⋊C412yes—
176C2×C22⋊D61C22⋊C412yes—
177C22×Dic61—21no—
178C22×Dic61—22no—
179C22×Dic61—21no—
180C22×Dic61C2×D412yes—
181#11758224—44no—
182#11758224—44no—
183D4×D61—44no—
184D4×D61—44no—
185D4×D61—82no—
186D4×D61—82no—
187#11758222—24no—
188#11758222—24no—
189#11758222—44no—
190#11758222—44no—
191#11758222—42no—
192#11758222—42no—
193#11758222—42no—
194C2×D244—22no—
195C2×D244—42no—
196C2×D244C22⋊C411yescharacteristic
197C2×D244C22⋊C411yescharacteristic
198C2×D244C22⋊C412yes—
199C2×D244C22×C411yescharacteristic
200C2×C4×D61—21no—
201C2×C4×D61—22no—
202C2×C4×D61—44no—
203C2×C4×D61C22×C412yes—
204C2×C4×D61C22×C412yes—
205C2×C4×D61C2×D412yes—
206C2×C4×D61C2×D412yes—
207C2×Dic122—24no—
208C2×Dic122C22⋊C412yes—
209C2×Dic122C22⋊C411yescharacteristic
210C2×Dic122C22⋊C411yescharacteristic
211C2×Dic122C22×C411yescharacteristic
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—42no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—42no—
217C4⋊C4×C61C22×C412yes—
218C22⋊C4×C61—22no—
219C22⋊C4×C61—22no—
220C22⋊C4×C61—81no—
221C22⋊Dic61—21no—
222C22⋊Dic61—21no—
223C22⋊Dic61—21no—
224C22⋊Dic61—22no—
225C22⋊Dic61—22no—
226C22⋊Dic61—42no—
227#11758198—22no—
228#11758198—22no—
229#11758198—21no—
230#11758198—21no—
231#11758198—22no—
232#11758198—44no—
233#11758198—82no—
234C4⋊Dic61—22no—
235C4⋊Dic61C22×C411yescharacteristic
236C4⋊Dic61C22×C411yescharacteristic
237#11758196—21no—
238#11758196—21no—
239#11758196—22no—
240#11758196—44no—
241C4×Dic61—21no—
242C4×Dic61—22no—
243C4×Dic61—44no—
244C4×Dic61—42no—
245#11758194—42no—
246C2×#92418—22no—
247#11758189—44no—
248C8×D61—44no—
249C23×C61—21no—
250C23×C61—21no—
251C23×C61—22no—
252C23×C61—41no—
253C23×C61—41no—
254C23×C61—42no—
255C23×C61—81no—
256C23×C61—81no—
257C23×C61C2×C22⋊C411yescharacteristic
258C23×C61C2×C22⋊C411yescharacteristic
259C23×C61C22×D411yescharacteristic
260C22×D61—22no—
261C22×D61—22no—
262C22×D61—21no—
263C22×D61—42no—
264C22×D61—42no—
265C22×D61—44no—
266C22×D61—82no—
267C22×D61—82no—
268C22×D61C2×C22⋊C412yes—
269C22×D61C2×C22⋊C412yes—
270D4×C61—42no—
271D4×C61—42no—
272D4×C61—42no—
273D4×C61—42no—
274D4×C61—82no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61—81no—
286C2×C4×C61C2×C22⋊C411yescharacteristic
287C2×C4×C61C2×C22⋊C411yescharacteristic
288C2×C4×C61C23×C411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C22⋊D61—24no—
291C22⋊D61—24no—
292C22⋊D61—42no—
293C22⋊D61—42no—
294C22⋊D61—44no—
295C22⋊D61—42no—
296C22⋊D61—41no—
297C22⋊D61—41no—
298C22⋊D61—44no—
299C22⋊D61—82no—
300C22⋊D61—82no—
301C22⋊D61—81no—
302C2×Dic61—24no—
303C2×Dic61—22no—
304C2×Dic61—21no—
305C2×Dic61—21no—
306C2×Dic61—21no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—44no—
310C2×Dic61—41no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313C2×Dic61C2×C22⋊C412yes—
314C2×Dic61C2×C22⋊C412yes—
315D244—22no—
316D244—22no—
317D244—42no—
318D244—41no—
319D244—82no—
320C4×D61—24no—
321C4×D61—24no—
322C4×D61—42no—
323C4×D61—42no—
324C4×D61—42no—
325C4×D61—82no—
326Dic122—22no—
327Dic122—24no—
328Dic122—41no—
329Dic122#9914yes—
330C8×C61—41no—
331C8×C61—41no—
332#92418—42no—
333#17611—611nomaximal, Sylow
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—21no—
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—42no—
345C22×C61—81no—
346C22×C61—81no—
347C22×C61—162no—
348C22×C61C22×C22⋊C411yescharacteristic
349C22×C61#57611yescharacteristic
350C22×C61#57711yescharacteristic
351C2×D61—22no—
352C2×D61—22no—
353C2×D61—22no—
354C2×D61—22no—
355C2×D61—22no—
356C2×D61—22no—
357C2×D61—41no—
358C2×D61—41no—
359C2×D61—41no—
360C2×D61—82no—
361C2×D61—82no—
362C2×D61—164no—
363C4×C61—21no—
364C4×C61—21no—
365C4×C61—21no—
366C4×C61—42no—
367C4×C61—82no—
368C4×C61C2×#9912yes—
369Dic61—22no—
370Dic61—42no—
371Dic61—41no—
372Dic61—41no—
373Dic61—41no—
374Dic61—81no—
375Dic61C2×#9914yes—
376#3488—611no—
377#2880—611no—
378#2341—611no—
379#1519—612no—
380#1519D6111yescharacteristic, complemented
381#1513—611no—
382#1513—612no—
383#1507—612no—
384#1507—611no—
385#1501—611no—
386#1501—612no—
387C2×C61—21no—
388C2×C61—21no—
389C2×C61—41no—
390C2×C61—41no—
391C2×C61—82no—
392C2×C61C22×#9911yescharacteristic
393C2×C61#289711yescharacteristic
394C2×C61#290111yescharacteristic
395D61—42no—
396D61—42no—
397D61—81no—
398C2×H(5,𝔽2)—611no—
399C22×#41—611no—
400C2×#131—1221no—
401#550—1221no—
402#548—1221no—
403#546—1222no—
404#546—1221no—
405D42—1221no—
406D42—1222no—
407#537—612no—
408#537—611no—
409#535—611no—
410#535—612no—
411#525—611no—
412#525—612no—
413C2×#121—612no—
414C2×#121C2×D6111yescharacteristic
415#520—611no—
416C2×C4×Q8—1221no—
417#408—1222no—
418#408—1221no—
419#407—611no—
420#407—612no—
421C2×C22⋊C8—612no—
422C2×C22⋊C8C2×D6111yescharacteristic, complemented
423#390—1222no—
424#390—1221no—
425#380—612no—
426#380C2×D6111yescharacteristic, complemented
427C4×C22⋊C4—611no—
428C4×C22⋊C4—612no—
429#328—611no—
430#328—611no—
431#328—612no—
432#327—612no—
433#327—612no—
434#327—611no—
435#327—611no—
436#327—612no—
437#327C2×D6112yescomplemented
438#327C2×D6112yescomplemented
439C61#1761111yescharacteristic, complemented, Sylow
440H(5,𝔽2)—2444no—
441C2×#41—611no—
442C2×#41—612no—
443C2×#41—611no—
444C2×#41—611no—
445C2×#41—612no—
446C2×#41—611no—
447C2×#41—612no—
448C2×#41—611no—
449C2×#41—1221no—
450C2×#41—2444no—
451C22×Q8—611no—
452C22×D4—21no—
453C22×D4—612no—
454C22×D4—612no—
455C22×D4—611no—
456C22×D4—1221no—
457C22×D4—1222no—
458C22×D4—1222no—
459C22×D4C4×D6111yescharacteristic
460C23×C4—612no—
461C23×C4C22×D6111yescharacteristic
462#131—2444no—
463C2×M16—1222no—
464C2×M16—1221no—
465C22×C8—21no—
466C22×C8—1222no—
467#127—1222no—
468#127—1221no—
469#124—1222no—
470#124—1221no—
471#123—1222no—
472#123—1221no—
473C22⋊Q8—611no—
474C22⋊Q8—611no—
475C22⋊Q8—612no—
476C22⋊Q8—1222no—
477C22⋊Q8—1221no—
478#121—21no—
479#121—21no—
480#121—612no—
481#121—612no—
482#121—611no—
483#121—611no—
484#121—612no—
485#121—1222no—
486#121—1222no—
487#121—1221no—
488#121—1222no—
489#121—1222no—
490#121—1222no—
491#121—1222no—
492#121C4×D6112yes—
493#121C22×D6112yes—
494#120—1222no—
495#120—1222no—
496#120—1222no—
497#120—1222no—
498#120—1221no—
499C4×Q8—1221no—
500C4×Q8—2444no—
501C4×D4—1222no—
502C4×D4—1221no—
503C4×D4—1222no—
504C4×D4—1222no—
505C4×D4—1221no—
506C4×D4—1221no—
507#117—611no—
508#117—612no—
509C2×C4⋊C4—21no—
510C2×C4⋊C4—612no—
511C2×C4⋊C4—1222no—
512C2×C4⋊C4C4×D6111yescharacteristic
513C2×C22⋊C4—21no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4—1222no—
516C2×C22⋊C4—1222no—
517C2×C22⋊C4—1222no—
518C2×C22⋊C4—1221no—
519C2×C42—1222no—
520C2×C42—1221no—
521C22⋊C8—21no—
522C22⋊C8—612no—
523C22⋊C8—1222no—
524C22⋊C8—1222no—
525C22⋊C8—1221no—
526C22⋊C8C22×D6111yescharacteristic
527C22⋊C8C22×D6111yescharacteristic
528#95—611no—
529#95—611no—
530#95C22×D6112yes—
531C24—21no—
532C24—612no—
533C24—1222no—
534C24D4×D6111yescharacteristic
535#41—1224no—
536#41—1224no—
537#41—2442no—
538#41—2442no—
539#41—2442no—
540#41—2444no—
541#41—2444no—
542#41—2444no—
543#41—2444no—
544C2×Q8—611no—
545C2×Q8—612no—
546C2×Q8—611no—
547C2×Q8—611no—
548C2×Q8—1224no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—42no—
553C2×D4—81no—
554C2×D4—81no—
555C2×D4—612no—
556C2×D4—612no—
557C2×D4—612no—
558C2×D4—612no—
559C2×D4—611no—
560C2×D4—611no—
561C2×D4—611no—
562C2×D4—612no—
563C2×D4—1222no—
564C2×D4—1222no—
565C2×D4—1222no—
566C2×D4—1222no—
567C2×D4—1221no—
568C2×D4—1222no—
569C2×D4—1221no—
570C2×D4—1221no—
571C2×D4—4882no—
572C2×D4—4882no—
573C2×D4—2442no—
574C2×D4—2444no—
575C2×D4—2444no—
576C2×D4—2444no—
577C2×D4—2448no—
578C2×D4C2×C4×D6112yes—
579C22×C4—21no—
580C22×C4—22no—
581C22×C4—42no—
582C22×C4—612no—
583C22×C4—612no—
584C22×C4—612no—
585C22×C4—612no—
586C22×C4—612no—
587C22×C4—1222no—
588C22×C4—1222no—
589C22×C4—1221no—
590C22×C4—1221no—
591C22×C4—1221no—
592C22×C4—2444no—
593C22×C4C2×C4×D6111yescharacteristic
594C22×C4C2×C4×D6111yescharacteristic
595C22×C4D4×D6111yescharacteristic
596C22×C4D4×D6111yescharacteristic
597C22×C4D4×D6111yescharacteristic
598C22×C4C23×D6111yescharacteristic
599M16—2444no—
600M16—2442no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—42no—
604C2×C8—1222no—
605C2×C8—2444no—
606C4⋊C4—21no—
607C4⋊C4—42no—
608C4⋊C4—611no—
609C4⋊C4—611no—
610C4⋊C4—1222no—
611C4⋊C4—1222no—
612C4⋊C4—1221no—
613C4⋊C4—1221no—
614C4⋊C4—2444no—
615C4⋊C4C2×C4×D6112yes—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—81no—
619C22⋊C4—1222no—
620C22⋊C4—1222no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C22⋊C4—1221no—
625C22⋊C4—1221no—
626C22⋊C4—1221no—
627C22⋊C4—1221no—
628C22⋊C4—1221no—
629C22⋊C4—4882no—
630C22⋊C4—2444no—
631C22⋊C4—2442no—
632C42—1222no—
633C42—1221no—
634C42—2442no—
635C42—2444no—
636C23—21no—
637C23—21no—
638C23—22no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—81no—
644C23—612no—
645C23—612no—
646C23—1222no—
647C23—1222no—
648C23—1221no—
649C23—4882no—
650C23—4882no—
651C23—2442no—
652C23—2442no—
653C23—2444no—
654C23C22⋊C4×D6111yescharacteristic
655C23C22⋊C4×D6111yescharacteristic
656C23C2×D4×D6111yescharacteristic
657Q8—614no—
658Q8—1224no—
659Q8—1222no—
660Q8—2441no—
661D4—42no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—82no—
666D4—1224no—
667D4—1224no—
668D4—1222no—
669D4—1222no—
670D4—4882no—
671D4—4881no—
672D4—4882no—
673D4—4882no—
674D4—2442no—
675D4—2441no—
676D4—2444no—
677D4—2442no—
678D4—2442no—
679D4—2442no—
680D4—2444no—
681D4—2441no—
682D4—2441no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—81no—
694C2×C4—612no—
695C2×C4—612no—
696C2×C4—1224no—
697C2×C4—1224no—
698C2×C4—1224no—
699C2×C4—1222no—
700C2×C4—1221no—
701C2×C4—1221no—
702C2×C4—1221no—
703C2×C4—4882no—
704C2×C4—2442no—
705C2×C4—2442no—
706C2×C4—2444no—
707C2×C4—2441no—
708C2×C4—2441no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4—2441no—
712C2×C4—2442no—
713C2×C4C22⋊C4×D6111yescharacteristic
714C2×C4C22⋊C4×D6111yescharacteristic
715C2×C4C22×C4×D6111yescharacteristic
716C2×C4C2×D4×D6111yescharacteristic
717C8—41no—
718C8—41no—
719C8—2442no—
720C22—21no—
721C22—21no—
722C22—21no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—81no—
732C22—81no—
733C22—162no—
734C22—1222no—
735C22—1222no—
736C22—1222no—
737C22—1222no—
738C22—1222no—
739C22—1222no—
740C22—9764no—
741C22—4882no—
742C22—4882no—
743C22—2441no—
744C22—2441no—
745C22—2441no—
746C22C2×C22⋊C4×D6111yescharacteristic
747C22#1684056311yescharacteristic
748C22#1684056811yescharacteristic
749C4—21no—
750C4—21no—
751C4—21no—
752C4—42no—
753C4—82no—
754C4—614no—
755C4—1222no—
756C4—4881no—
757C4—2442no—
758C4—2441no—
759C4—2441no—
760C4—2441no—
761C4#99×D6112yes—
762C2—21no—
763C2—21no—
764C2—41no—
765C2—41no—
766C2—82no—
767C2—4881no—
768C2—2442no—
769C2—2442no—
770C2C2×#99×D6111yescharacteristic
771C2#2145434011yescharacteristic
772C2#2145436511yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1519C2
socleC22×C61C22×C22⋊C4
prime radical#21459484C2
cosocleC22×C4×C61C24
hypercenter#1519D61
hypocenterC61#17611
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1519

Complements

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

NH ≅ G/Ntype
2. #21454265C2semidirect
3. #21448656C2semidirect
4. #21444385C2semidirect
5. #21444360C2semidirect
6. #21444359C2semidirect
7. #21444335C2semidirect
8. #21444333C2semidirect
9. #21444311C2semidirect
10. #21444307C2semidirect
11. C61×#1519C2semidirect
12. C2×#14519822C4semidirect
21. #16840343C4semidirect
22. #16840341C4semidirect
23. #16840329C4semidirect
24. #16840328C4semidirect
28. #16840243C4semidirect
32. #16839726C22semidirect
33. #16839724C22semidirect
34. C22⋊C8×D61C22semidirect
37. #16839621C22semidirect
38. C4×C22⋊Dic61C22semidirect
39. #16839609C22semidirect
40. #16839500C22semidirect
41. #16839500C22semidirect
42. #16839498C22semidirect
43. #16839497C22semidirect
44. #16839497C22semidirect
45. #16839496C22semidirect
46. #16839496C22semidirect
47. #16839495C22semidirect
49. C2×C22⋊C8×C61C22semidirect
50. C61×#380C22semidirect
51. C61×#327C22semidirect
52. C61×#327C22semidirect
380. #1519D61semidirect
422. C2×C22⋊C8C2×D61semidirect
426. #380C2×D61semidirect
437. #327C2×D61semidirect
438. #327C2×D61semidirect
439. C61#17611semidirect

Maximal subgroups

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

subgroupindex
#214594842
#214542652
#214486562
#214443852
#214443602
#214443592
#214443352
#214443332
#214443112
#214443072
C61×#15192
#1761161