Finite Group Databasebeta

← #29647699

Subgroups — #29647699

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#21454269C211yesmaximal, characteristic, complemented
3#21448659C211yesmaximal, characteristic, complemented
4#21444387C211yesmaximal, characteristic, complemented
5#21444385C212yesmaximal, complemented
6#21444363C211yesmaximal, characteristic, complemented
7#21444359C212yesmaximal, complemented
8#21444333C212yesmaximal, complemented
9#21444308C211yesmaximal, characteristic, complemented
10#21444307C212yesmaximal, complemented
11C61×#1507C211yesmaximal, characteristic, complemented
12C2×#14519822C411yescharacteristic, complemented
13C22×#11758222C2211yescharacteristic
14C2×#14519785—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×C4×Dic122—21no—
30#16839730—21no—
31#16839727—22no—
32#16839724C2212yescomplemented
33C2×C22⋊#92418C2211yescharacteristic, complemented
34C22⋊C8×D61C2212yescomplemented
35#16839664—21no—
36#16839662—22no—
37#16839622C2211yescharacteristic, complemented
38#16839621C2212yescomplemented
39#16839609C2212yescomplemented
40#16839500C2212yescomplemented
41#16839498C2211yescharacteristic, complemented
42#16839498C2211yescharacteristic, complemented
43#16839497C2212yescomplemented
44#16839496C2212yescomplemented
45#16839496C2212yescomplemented
46#16839495C2211yescharacteristic, complemented
47#16839495C2211yescharacteristic, complemented
48C2×#121×C61C2211yescharacteristic
49C61×#407C2211yescharacteristic, complemented
50C4×C22⋊C4×C61C2211yescharacteristic, 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#14519785—44no—
73C2×#11758189—22no—
74C22×#92418—21no—
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—
104C4×Dic122—44no—
105#14519742—21no—
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×C4⋊Dic61—21no—
115C2×#11758196—22no—
116C4⋊C4×D61C2×C412yes—
117C2×C22⋊Dic61—21no—
118C2×#11758198—22no—
119C2×#11758198—22no—
120C22⋊C4×D61—22no—
121C2×C4×Dic61—22no—
122C22⋊#92418—21no—
123C22⋊#92418C2311yescharacteristic
124C22⋊#92418C2311yescharacteristic
125#14519689—22no—
126#14519689—22no—
127#14519684C2312yes—
128C22×D4×C61—21no—
129C22×D4×C61C2×C411yescharacteristic
130C23×C4×C61C2311yescharacteristic
131C2×M16×C61—21no—
132#121×C61—21no—
133#121×C61—21no—
134#121×C61C2×C412yes—
135#121×C61C2312yes—
136C2×C4⋊C4×C61C2×C411yescharacteristic
137C2×C22⋊C4×C61—21no—
138C2×C22⋊C4×C61—21no—
139C2×C42×C61—21no—
140C22⋊C8×C61—21no—
141C22⋊C8×C61C2312yes—
142#95×C61C2311yescharacteristic
143#95×C61C2311yescharacteristic
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—21no—
157C22×C4×C61—21no—
158C22×C4×C61—42no—
159C22×C4×C61C22×C411yescharacteristic
160C22×C4×C61C22×C411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2411yescharacteristic
165C2×C22⋊D61—21no—
166C2×C22⋊D61—21no—
167C2×C22⋊D61—22no—
168C2×C22⋊D61—21no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—22no—
171C2×C22⋊D61—22no—
172C2×C22⋊D61—44no—
173C2×C22⋊D61—48no—
174C2×C22⋊D61C22⋊C412yes—
175C2×C22⋊D61C22⋊C412yes—
176C2×C22⋊D61C22⋊C412yes—
177C2×C22⋊D61C22⋊C412yes—
178C22×Dic61—22no—
179C22×Dic61—22no—
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
212M16×C61—42no—
213C2×C8×C61—22no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61C22×C412yes—
216C22⋊C4×C61—22no—
217C22⋊C4×C61—22no—
218C22⋊C4×C61—42no—
219C42×C61—42no—
220C22⋊Dic61—21no—
221C22⋊Dic61—21no—
222C22⋊Dic61—21no—
223C22⋊Dic61—22no—
224C22⋊Dic61—22no—
225C22⋊Dic61—81no—
226#11758198—22no—
227#11758198—22no—
228#11758198—21no—
229#11758198—21no—
230#11758198—22no—
231#11758198—44no—
232#11758198—82no—
233C4⋊Dic61—22no—
234C4⋊Dic61—42no—
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—
244C2×#92418—21no—
245C2×#92418—21no—
246C2×#92418—42no—
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—22no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—81no—
289C2×C4×C61C2×C22⋊C411yescharacteristic
290C2×C4×C61C2×C22⋊C411yescharacteristic
291C2×C4×C61C23×C411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C22⋊D61—24no—
294C22⋊D61—24no—
295C22⋊D61—42no—
296C22⋊D61—42no—
297C22⋊D61—44no—
298C22⋊D61—42no—
299C22⋊D61—41no—
300C22⋊D61—41no—
301C22⋊D61—44no—
302C22⋊D61—82no—
303C22⋊D61—82no—
304C22⋊D61—81no—
305C2×Dic61—24no—
306C2×Dic61—21no—
307C2×Dic61—21no—
308C2×Dic61—21no—
309C2×Dic61—44no—
310C2×Dic61—42no—
311C2×Dic61—42no—
312C2×Dic61—42no—
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—42no—
331#92418—41no—
332#92418—41no—
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—42no—
368C4×C61—81no—
369C4×C61C2×#9912yes—
370Dic61—22no—
371Dic61—41no—
372Dic61—41no—
373Dic61—41no—
374Dic61—82no—
375Dic61C2×#9914yes—
376#3488—611no—
377#2880—611no—
378#2341—611no—
379#1519—612no—
380#1519—611no—
381#1513—611no—
382#1513—612no—
383#1507—612no—
384#1507D6111yescharacteristic, complemented
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—612no—
420#407C2×D6111yescharacteristic, complemented
421C2×C22⋊C8—611no—
422C2×C22⋊C8—612no—
423#390—1221no—
424#390—1222no—
425#380—611no—
426#380—612no—
427C4×C22⋊C4—612no—
428C4×C22⋊C4C2×D6111yescharacteristic, complemented
429#328—612no—
430#328—611no—
431#328—611no—
432#327—612no—
433#327—612no—
434#327—612no—
435#327—611no—
436#327—611no—
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—21no—
464C2×M16—1222no—
465C22×C8—1222no—
466C22×C8—1221no—
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—612no—
510C2×C4⋊C4—1222no—
511C2×C4⋊C4—1221no—
512C2×C4⋊C4C4×D6111yescharacteristic
513C2×C22⋊C4—21no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4—1222no—
516C2×C22⋊C4—1222no—
517C2×C22⋊C4—1221no—
518C2×C22⋊C4—1222no—
519C2×C42—21no—
520C2×C42—1222no—
521C22⋊C8—21no—
522C22⋊C8—611no—
523C22⋊C8—611no—
524C22⋊C8—1222no—
525C22⋊C8—1222no—
526C22⋊C8—1221no—
527C22⋊C8C22×D6112yes—
528#95—612no—
529#95C22×D6111yescharacteristic
530#95C22×D6111yescharacteristic
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—21no—
581C22×C4—21no—
582C22×C4—42no—
583C22×C4—612no—
584C22×C4—612no—
585C22×C4—612no—
586C22×C4—612no—
587C22×C4—612no—
588C22×C4—1222no—
589C22×C4—1222no—
590C22×C4—1221no—
591C22×C4—1222no—
592C22×C4—2444no—
593C22×C4C2×C4×D6111yescharacteristic
594C22×C4C2×C4×D6111yescharacteristic
595C22×C4D4×D6111yescharacteristic
596C22×C4D4×D6111yescharacteristic
597C22×C4D4×D6111yescharacteristic
598C22×C4C23×D6111yescharacteristic
599M16—42no—
600M16—2444no—
601C2×C8—22no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—2444no—
605C2×C8—2442no—
606C4⋊C4—21no—
607C4⋊C4—611no—
608C4⋊C4—611no—
609C4⋊C4—1222no—
610C4⋊C4—1222no—
611C4⋊C4—1221no—
612C4⋊C4—1221no—
613C4⋊C4—2442no—
614C4⋊C4—2444no—
615C4⋊C4C2×C4×D6112yes—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—42no—
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—4881no—
631C22⋊C4—2444no—
632C42—42no—
633C42—1222no—
634C42—1221no—
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—22no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—81no—
697C2×C4—612no—
698C2×C4—612no—
699C2×C4—1224no—
700C2×C4—1224no—
701C2×C4—1224no—
702C2×C4—1221no—
703C2×C4—1221no—
704C2×C4—1221no—
705C2×C4—4882no—
706C2×C4—2442no—
707C2×C4—2442no—
708C2×C4—2444no—
709C2×C4—2442no—
710C2×C4—2442no—
711C2×C4—2442no—
712C2×C4—2442no—
713C2×C4C22⋊C4×D6111yescharacteristic
714C2×C4C22⋊C4×D6111yescharacteristic
715C2×C4C22×C4×D6111yescharacteristic
716C2×C4C2×D4×D6111yescharacteristic
717C8—42no—
718C8—2441no—
719C8—2441no—
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#1684056611yescharacteristic
748C22#1684057211yescharacteristic
749C4—21no—
750C4—21no—
751C4—21no—
752C4—42no—
753C4—42no—
754C4—81no—
755C4—614no—
756C4—1222no—
757C4—4882no—
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#2145434411yescharacteristic
772C2#2145436311yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1507C2
socleC22×C61C22×C22⋊C4
prime radical#21459484C2
cosocleC22×C4×C61C24
hypercenter#1507D61
hypocenterC61#17611
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1507

Complements

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

NH ≅ G/Ntype
2. #21454269C2semidirect
3. #21448659C2semidirect
4. #21444387C2semidirect
5. #21444385C2semidirect
6. #21444363C2semidirect
7. #21444359C2semidirect
8. #21444333C2semidirect
9. #21444308C2semidirect
10. #21444307C2semidirect
11. C61×#1507C2semidirect
12. C2×#14519822C4semidirect
21. #16840343C4semidirect
22. #16840341C4semidirect
23. #16840329C4semidirect
24. #16840328C4semidirect
28. #16840243C4semidirect
32. #16839724C22semidirect
33. C2×C22⋊#92418C22semidirect
34. C22⋊C8×D61C22semidirect
37. #16839622C22semidirect
38. #16839621C22semidirect
39. #16839609C22semidirect
40. #16839500C22semidirect
41. #16839498C22semidirect
42. #16839498C22semidirect
43. #16839497C22semidirect
44. #16839496C22semidirect
45. #16839496C22semidirect
46. #16839495C22semidirect
47. #16839495C22semidirect
49. C61×#407C22semidirect
50. C4×C22⋊C4×C61C22semidirect
51. C61×#327C22semidirect
52. C61×#327C22semidirect
384. #1507D61semidirect
420. #407C2×D61semidirect
428. C4×C22⋊C4C2×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
#214542692
#214486592
#214443872
#214443852
#214443632
#214443592
#214443332
#214443082
#214443072
C61×#15072
#1761161