Finite Group Databasebeta

← #29607218

Subgroups — #29607218

Order 15616.

2150 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D244C211yesmaximal, characteristic
2C2×#16839624C211yesmaximal, characteristic, complemented
3C2×#16839621C211yesmaximal, characteristic, complemented
4#21444071C212yesmaximal, complemented
5#21444067C212yesmaximal, complemented
6#21444063C212yesmaximal, complemented
7#21444059C212yesmaximal
8#21444046C211yesmaximal, characteristic, complemented
9#21444040C211yesmaximal, characteristic, complemented
10#21444040C211yesmaximal, characteristic, complemented
11C61×#1434C211yesmaximal, characteristic, complemented
12C23×D244C2211yescharacteristic
13C23×C4×D61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C2×C4×D244—24no—
16C2×C4×D244—24no—
17C2×C4×D244C418yescomplemented
18C22×C4⋊Dic61C2211yescharacteristic
19C22×#11758196C2212yes—
20C22×#11758198C2211yescharacteristic
21C22×#11758198C2211yescharacteristic
22C22×#11758198C2212yes—
23C22×#11758198C2212yes—
24C22×#11758198C2212yes—
25C22×#11758198C2212yes—
26#16839624—24no—
27#16839621—24no—
28C2×#14519684C2211yescharacteristic
29C2×#14519684C2212yes—
30C2×#14519684C2211yescharacteristic
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C22×C42×C61C2211yescharacteristic
36C2×#95×C61C2211yescharacteristic
37C2×#95×C61C2211yescharacteristic
38C2×#95×C61C2212yes—
39C2×#95×C61C2212yes—
40C24×D61C2311yescharacteristic
41C24×D61C2311yescharacteristic
42C22×D244—22no—
43C22×D244—22no—
44C22×D244—24no—
45C22×D244—24no—
46C22×D244C2×C414yes—
47C23×Dic61C2312yes—
48C23×Dic61C2312yes—
49C23×Dic61C2311yescharacteristic
50C23×Dic61C2311yescharacteristic
51C22×C4×D61—22no—
52C22×C4×D61—22no—
53C22×C4×D61—42no—
54C22×C4×D61—42no—
55C22×C4×D61—42no—
56C22×C4×D61—42no—
57C22×C4×D61C2×C414yes—
58C22×C4×D61C2×C414yes—
59C22×C4×D61D414yes—
60C22×C4×D61D414yes—
61C4×D244—232no—
62C2×C4⋊Dic61—22no—
63C2×C4⋊Dic61—22no—
64C2×C4⋊Dic61C2×C414yes—
65C2×#11758196—24no—
66C2×#11758196—42no—
67C2×#11758196—42no—
68C2×#11758198—22no—
69C2×#11758198—22no—
70C2×#11758198—22no—
71C2×#11758198—22no—
72C2×#11758198—24no—
73C2×#11758198—24no—
74C2×#11758198—24no—
75C2×#11758198—24no—
76C2×#11758198—42no—
77C2×#11758198—42no—
78C2×#11758198—42no—
79C2×#11758198—42no—
80C2×#11758198—42no—
81C2×#11758198—42no—
82C2×#11758198—42no—
83C2×#11758198—42no—
84C2×#11758198C2×C414yes—
85C2×#11758198C2×C414yes—
86#14519684—22no—
87#14519684—22no—
88#14519684—24no—
89#14519684—24no—
90#14519684—42no—
91#14519684—42no—
92#14519684—42no—
93C23×C4×C61C2312yes—
94C23×C4×C61C2312yes—
95C23×C4×C61C2311yescharacteristic
96C23×C4×C61C2311yescharacteristic
97C23×C4×C61C2311yescharacteristic
98C2×C42×C61—22no—
99C2×C42×C61—22no—
100C2×C42×C61C2×C414yes—
101#95×C61—22no—
102#95×C61—22no—
103#95×C61—24no—
104#95×C61—42no—
105C24×C61C2411yescharacteristic
106C23×D61—21no—
107C23×D61—21no—
108C23×D61—22no—
109C23×D61—22no—
110C23×D61—22no—
111C23×D61—22no—
112C23×D61—22no—
113C23×D61—22no—
114C23×D61—22no—
115C23×D61—21no—
116C23×D61—21no—
117C23×D61—21no—
118C23×D61—21no—
119C23×D61—21no—
120C23×D61—21no—
121C23×D61—21no—
122C23×D61—21no—
123C23×D61C22×C412yes—
124C23×D61C22×C412yes—
125C23×D61C2×D412yes—
126C23×D61C2×D412yes—
127C23×D61#4114yes—
128C22×C4×C61—21no—
129C22×C4×C61—21no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61—22no—
153C22×C4×C61C22×C412yes—
154C22×C4×C61C22×C412yes—
155C22×C4×C61C22×C412yes—
156C22×C4×C61C2×D412yes—
157C22×C4×C61C2×D412yes—
158C22×C4×C61#4114yes—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61—22no—
179C22×Dic61C22×C412yes—
180C22×Dic61C22×C412yes—
181C22×Dic61C2×D412yes—
182C22×Dic61C2×D412yes—
183C2×D244—216no—
184C2×D244—216no—
185C2×D244—28no—
186C2×D244—28no—
187C2×D244—28no—
188C2×C4×D61—28no—
189C2×C4×D61—44no—
190C2×C4×D61—44no—
191C2×C4×D61—44no—
192C2×C4×D61—44no—
193C2×C4×D61—48no—
194C2×C4×D61—48no—
195C2×C4×D61—48no—
196C2×C4×D61—48no—
197C2×C4×D61C22⋊C4116yescomplemented
198C42×C61—28no—
199#11758198—28no—
200#11758198—28no—
201#11758198—48no—
202#11758198—48no—
203#11758198—48no—
204#11758198—48no—
205C4⋊Dic61—28no—
206#11758196—48no—
207C23×C61C23×C411yescharacteristic
208C23×C61C22×D411yescharacteristic
209C23×C61C22×D411yescharacteristic
210C23×C61C2×#4112yes—
211C23×C61C2×#4112yes—
212C23×C61H(5,𝔽2)12yes—
213C23×C61H(5,𝔽2)12yes—
214C23×C61H(5,𝔽2)11yescharacteristic
215C23×C61H(5,𝔽2)11yescharacteristic
216C23×C612−1+411yescharacteristic
217C23×C612−1+411yescharacteristic
218C22×D61—22no—
219C22×D61—22no—
220C22×D61—22no—
221C22×D61—22no—
222C22×D61—22no—
223C22×D61—22no—
224C22×D61—22no—
225C22×D61—22no—
226C22×D61—22no—
227C22×D61—22no—
228C22×D61—22no—
229C22×D61—22no—
230C22×D61—24no—
231C22×D61—24no—
232C22×D61—24no—
233C22×D61—24no—
234C22×D61—24no—
235C22×D61—24no—
236C22×D61—22no—
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—24no—
241C22×D61—24no—
242C22×D61—24no—
243C22×D61—24no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61—42no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—42no—
260C22×D61—42no—
261C22×D61—42no—
262C22×D61C2×C22⋊C414yes—
263C22×D61#11714yes—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—24no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61—42no—
289C2×C4×C61—42no—
290C2×C4×C61—42no—
291C2×C4×C61—42no—
292C2×C4×C61—42no—
293C2×C4×C61C2×C22⋊C414yes—
294C2×C4×C61#11714yes—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310C2×Dic61—42no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61—42no—
314C2×Dic61—42no—
315C2×Dic61—42no—
316C2×Dic61—42no—
317C2×Dic61—42no—
318C2×Dic61C2×C22⋊C414yes—
319D244—232no—
320C4×D61—416no—
321C4×D61—416no—
322#14344—611nomaximal, Sylow
323C22×C61C22×C22⋊C411yescharacteristic
324C22×C61C2×#11711yescharacteristic
325C22×C61C2×#11711yescharacteristic
326C22×C61#51811yescharacteristic
327C22×C61#51811yescharacteristic
328C22×C61#52011yescharacteristic
329C22×C61#52011yescharacteristic
330C22×C61#52512yes—
331C22×C61#52512yes—
332C22×C61#53412yes—
333C22×C61#53412yes—
334C22×C61#53511yescharacteristic
335C22×C61#53611yescharacteristic
336C22×C61#53711yescharacteristic
337C22×C61#53711yescharacteristic
338C22×C61#53812yes—
339C22×C61#53812yes—
340C22×C61#53912yes—
341C22×C61#53912yes—
342C22×C61#54012yes—
343C22×C61#54012yes—
344C22×C61#54212yes—
345C22×C61#54212yes—
346C2×D61—24no—
347C2×D61—24no—
348C2×D61—24no—
349C2×D61—24no—
350C2×D61—24no—
351C2×D61—24no—
352C2×D61—42no—
353C2×D61—42no—
354C2×D61—42no—
355C2×D61—42no—
356C2×D61—42no—
357C2×D61—42no—
358C2×D61—42no—
359C2×D61—42no—
360C2×D61—44no—
361C2×D61—44no—
362C2×D61—44no—
363C2×D61—44no—
364C2×D61—44no—
365C2×D61—44no—
366C2×D61—44no—
367C2×D61—44no—
368C4×C61—24no—
369C4×C61—24no—
370C4×C61—42no—
371C4×C61—82no—
372C4×C61—82no—
373Dic61—24no—
374Dic61—42no—
375Dic61—82no—
376Dic61—82no—
377C22×C4×D4—611no—
378C2×#381—611no—
379C2×#380—611no—
380#1441—612no—
381#1440—612no—
382#1439—612no—
383#1438—612no—
384#1434—611no—
385#1434D6111yescharacteristic, complemented
386C22⋊#95—611no—
387C22⋊#95—611no—
388C2×C61#228011yescharacteristic
389C2×C61#230811yescharacteristic
390C2×C61#231111yescharacteristic
391C2×C61#231811yescharacteristic
392C2×C61#231811yescharacteristic
393C2×C61#231911yescharacteristic
394C2×C61#231911yescharacteristic
395C2×C61#263012yes—
396C2×C61#263012yes—
397C2×C61#263512yes—
398C2×C61#263812yes—
399D61—44no—
400D61—44no—
401C23×D4—611no—
402C24×C4—611no—
403C24×C4—611no—
404C2×C4×D4—618no—
405C2×C4×D4—1224no—
406C2×C4×D4—1224no—
407C22×C4⋊C4—611no—
408C22×C4⋊C4—612no—
409C22×C22⋊C4—611no—
410C22×C22⋊C4—611no—
411C22×C22⋊C4—612no—
412C22×C22⋊C4—612no—
413C22×C22⋊C4—612no—
414C22×C22⋊C4—612no—
415C22×C42C2×D6111yescharacteristic
416#381—1224no—
417#380—1224no—
418C2×#95—611no—
419C2×#95—611no—
420C2×#95—612no—
421C2×#95—612no—
422C2×#95—612no—
423C2×#95—612no—
424C2×#95—612no—
425C2×#95C2×D6111yescharacteristic
426C2×#95C2×D6111yescharacteristic
427C2×#95C2×D6112yes—
428C2×#95C2×D6112yes—
429C61#1434411yescharacteristic, complemented, Sylow
430C25—611no—
431C25—611no—
432C22×D4—614no—
433C22×D4—1222no—
434C22×D4—1222no—
435C22×D4—1224no—
436C22×D4—1224no—
437C23×C4—611no—
438C23×C4—614no—
439C23×C4—614no—
440C23×C4—614no—
441C23×C4—611no—
442C23×C4—614no—
443C23×C4—612no—
444C23×C4—612no—
445C23×C4—1222no—
446C23×C4—1222no—
447C23×C4—2442no—
448C23×C4—2442no—
449C23×C4—2442no—
450C23×C4—2442no—
451C23×C4C22×D6112yes—
452C23×C4C22×D6112yes—
453C23×C4C22×D6111yescharacteristic
454C23×C4C22×D6111yescharacteristic
455C23×C4C22×D6111yescharacteristic
456C4×D4—12232no—
457C2×C4⋊C4—614no—
458C2×C4⋊C4—1222no—
459C2×C4⋊C4—1222no—
460C2×C4⋊C4—1224no—
461C2×C4⋊C4—2442no—
462C2×C4⋊C4—2442no—
463C2×C22⋊C4—614no—
464C2×C22⋊C4—614no—
465C2×C22⋊C4—1222no—
466C2×C22⋊C4—1222no—
467C2×C22⋊C4—1222no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1224no—
470C2×C22⋊C4—1224no—
471C2×C22⋊C4—1224no—
472C2×C22⋊C4—1224no—
473C2×C22⋊C4—2442no—
474C2×C22⋊C4—2442no—
475C2×C22⋊C4—2442no—
476C2×C22⋊C4—2442no—
477C2×C22⋊C4—2442no—
478C2×C22⋊C4—2442no—
479C2×C22⋊C4—2442no—
480C2×C22⋊C4—2442no—
481C2×C42—22no—
482C2×C42—22no—
483C2×C42C4×D6114yes—
484#95—24no—
485#95—22no—
486#95—22no—
487#95—42no—
488#95—1224no—
489#95—1224no—
490#95—1222no—
491#95—1222no—
492#95—2442no—
493#95—2442no—
494#95—2442no—
495C24—612no—
496C24—612no—
497C24—612no—
498C24—612no—
499C24—614no—
500C24—1221no—
501C24—1221no—
502C24—1222no—
503C24—1222no—
504C24—1222no—
505C24—1221no—
506C24—1221no—
507C24—1221no—
508C24—1221no—
509C24—1222no—
510C24—1222no—
511C24—1222no—
512C24—1222no—
513C24—1221no—
514C24—1221no—
515C24—1221no—
516C24—1221no—
517C24C23×D6111yescharacteristic
518C2×D4—1228no—
519C2×D4—1228no—
520C2×D4—12216no—
521C2×D4—12216no—
522C2×D4—1228no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—612no—
549C22×C4—612no—
550C22×C4—612no—
551C22×C4—6116no—
552C22×C4—612no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—1228no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—1222no—
573C22×C4—1222no—
574C22×C4—2444no—
575C22×C4—2444no—
576C22×C4—2444no—
577C22×C4—2444no—
578C22×C4—2448no—
579C22×C4—2448no—
580C22×C4—2448no—
581C22×C4—2448no—
582C22×C4C2×C4×D6112yes—
583C22×C4C2×C4×D6112yes—
584C22×C4C2×C4×D6112yes—
585C22×C4#1175822214yes—
586C22×C4D4×D6112yes—
587C22×C4D4×D6112yes—
588C4⋊C4—1228no—
589C4⋊C4—2448no—
590C22⋊C4—1228no—
591C22⋊C4—1228no—
592C22⋊C4—2448no—
593C22⋊C4—2448no—
594C22⋊C4—2448no—
595C22⋊C4—2448no—
596C42—28no—
597C23—614no—
598C23—614no—
599C23—1222no—
600C23—1222no—
601C23—1222no—
602C23—1222no—
603C23—1222no—
604C23—1222no—
605C23—1222no—
606C23—1222no—
607C23—1222no—
608C23—1222no—
609C23—1222no—
610C23—1222no—
611C23—1224no—
612C23—1224no—
613C23—1224no—
614C23—1224no—
615C23—1224no—
616C23—1224no—
617C23—1222no—
618C23—1222no—
619C23—1222no—
620C23—1222no—
621C23—1224no—
622C23—1224no—
623C23—1224no—
624C23—1224no—
625C23—2442no—
626C23—2442no—
627C23—2441no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23—2442no—
632C23—2442no—
633C23—2442no—
634C23—2442no—
635C23—2442no—
636C23—2442no—
637C23—2442no—
638C23—2442no—
639C23—2442no—
640C23—2442no—
641C23—2442no—
642C23—2442no—
643C23C22×C4×D6111yescharacteristic
644C23C2×D4×D6111yescharacteristic
645C23C2×D4×D6111yescharacteristic
646C23#41×D6112yes—
647C23C2×#1175822212yes—
648C23#1451982211yescharacteristic
649C23#1451982312yes—
650C23#1451982312yes—
651C23#1451982311yescharacteristic
652C23#1451982411yescharacteristic
653C23#1451982511yescharacteristic
654D4—12232no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—614no—
685C2×C4—1222no—
686C2×C4—1222no—
687C2×C4—1224no—
688C2×C4—1224no—
689C2×C4—1222no—
690C2×C4—1222no—
691C2×C4—1222no—
692C2×C4—24416no—
693C2×C4—24416no—
694C2×C4—2442no—
695C2×C4—2442no—
696C2×C4—2442no—
697C2×C4—2442no—
698C2×C4—2442no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4—2442no—
702C2×C4—2442no—
703C2×C4—2442no—
704C2×C4—2442no—
705C2×C4—2442no—
706C2×C4—2442no—
707C2×C4—2442no—
708C2×C4—2442no—
709C2×C4—2442no—
710C2×C4C22⋊C4×D6114yes—
711C2×C4#1451973414yes—
712C22—1224no—
713C22—1224no—
714C22—1224no—
715C22—1224no—
716C22—1224no—
717C22—1224no—
718C22—2442no—
719C22—2442no—
720C22—2442no—
721C22—2442no—
722C22—2442no—
723C22—2442no—
724C22—2444no—
725C22—2444no—
726C22—2444no—
727C22—2444no—
728C22—2444no—
729C22—2444no—
730C22—2442no—
731C22—2442no—
732C22—2444no—
733C22—2444no—
734C22C2×C22⋊C4×D6111yescharacteristic
735C22#117×D6111yescharacteristic
736C22C2×#1451973411yescharacteristic
737C22#1684023611yescharacteristic
738C22#1684023611yescharacteristic
739C22#1684024211yescharacteristic
740C22#1684024311yescharacteristic
741C22#1684027112yes—
742C22#1684027112yes—
743C22#1684032312yes—
744C22#1684032312yes—
745C22#1684032811yescharacteristic
746C22#1684033511yescharacteristic
747C22#1684034111yescharacteristic
748C22#1684034211yescharacteristic
749C22#1684034612yes—
750C22#1684035112yes—
751C22#1684035312yes—
752C22#1684036012yes—
753C22#1684036312yes—
754C22#1684036712yes—
755C22#1684038312yes—
756C22#1684038412yes—
757C4—24no—
758C4—24no—
759C4—42no—
760C4—82no—
761C4—82no—
762C4—1224no—
763C4—4882no—
764C4—4882no—
765C4—2442no—
766C2—2444no—
767C2—2444no—
768C2#2144820011yescharacteristic
769C2#2144839611yescharacteristic
770C2#2144840811yescharacteristic
771C2#2144845011yescharacteristic
772C2#2144845511yescharacteristic
773C2#2144845711yescharacteristic
774C2#2144846311yescharacteristic
775C2#2145166612yes—
776C2#2145166812yes—
777C2#2145171012yes—
778C2#2145174312yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1434C2
socle, cosocleC24×C61C24
prime radicalC23×D244C22
hypercenter#1434D61
hypocenterC61#14344
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1434

Complements

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

NH ≅ G/Ntype
2. C2×#16839624C2semidirect
3. C2×#16839621C2semidirect
4. #21444071C2semidirect
5. #21444067C2semidirect
6. #21444063C2semidirect
8. #21444046C2semidirect
9. #21444040C2semidirect
10. #21444040C2semidirect
11. C61×#1434C2semidirect
17. C2×C4×D244C4semidirect
197. C2×C4×D61C22⋊C4semidirect
385. #1434D61semidirect
429. C61#14344semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D2442
C2×#168396242
C2×#168396212
#214440712
#214440672
#214440632
#214440592
#214440462
#214440402
C61×#14342
#1434461