Finite Group Databasebeta

← #29691227

Subgroups — #29691227

Order 15616.

1080 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839899C211yesmaximal, characteristic
2C4×#14519748C211yesmaximal, characteristic
3#391×D61C211yesmaximal, characteristic, complemented
4#21446702C211yesmaximal, characteristic, complemented
5#21446701C211yesmaximal, characteristic, complemented
6#21446507C211yesmaximal, characteristic, complemented
7#21446506C211yesmaximal, characteristic, complemented
8#21446461C211yesmaximal, characteristic, complemented
9#21446457C211yesmaximal, characteristic, complemented
10#21446153C211yesmaximal, characteristic, complemented
11#21446133C211yesmaximal, characteristic
12#21446008C211yesmaximal, characteristic, complemented
13#21445752C211yesmaximal, characteristic, complemented
14#21445580C211yesmaximal, characteristic, complemented
15C61×#1877C211yesmaximal, characteristic, complemented
16C22×Q8×D61C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C2×#14519748C2211yescharacteristic
19C2×C4×C22⋊D61—21no—
20C2×C4⋊C4×D61C2211yescharacteristic
21C2×C42×D61C2211yescharacteristic
22#16839899C418yescomplemented
23C2×#14519711C2211yescharacteristic
24C2×#14519710C2211yescharacteristic
25C2×#14519702C2211yescharacteristic
26C2×#14519702C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519700C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32C2×#14519689C2211yescharacteristic
33C2×#14519687C2211yescharacteristic
34C2×#14519687C2211yescharacteristic
35#16839669C2211yescharacteristic
36#16839668C2211yescharacteristic
37#16839667C2211yescharacteristic
38#16839666—21no—
39#16839666—21no—
40#16839665C2211yescharacteristic
41#16839658C2211yescharacteristic
42#16839650—21no—
43#16839638—21no—
44#16839619C2211yescharacteristic
45C4×C4⋊Dic61C2211yescharacteristic
46C4×C22⋊Dic61—21no—
47#95×D61—21no—
48#95×D61—21no—
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839517C2211yescharacteristic
53C22×SD16×C61C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C2×#103×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C61×#391C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C22×Dic122—21no—
61C22×Dic122C2311yescharacteristic
62C2×Q8×D61—22no—
63C2×Q8×D61—41no—
64C2×Q8×D61—41no—
65C2×Q8×D61—41no—
66C2×Q8×D61—41no—
67C2×Q8×D61C2×C414yescomplemented
68C22×C22⋊D61—21no—
69C22×C4×D61—21no—
70C22×C4×D61—21no—
71C22×C4×D61D411yescharacteristic
72C22×C4×D61D411yescharacteristic
73C22×C4×D61C2311yescharacteristic
74C2×#11758200—41no—
75C2×#11758200—41no—
76C2×#11758200C2×C414yescomplemented
77C22×#92418C2311yescharacteristic
78C22×#92418C2311yescharacteristic
79#14519748—22no—
80#14519748C2×C414yes—
81C4×C22⋊D61—44no—
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×#11758196—21no—
87C4⋊C4×D61—41no—
88C4⋊C4×D61—41no—
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×#11758198—21no—
93C2×C4×Dic61—21no—
94C2×C4×Dic61D411yescharacteristic
95C2×C4×Dic61D411yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C42×D61—41no—
98C42×D61—41no—
99#14519711—41no—
100#14519710—41no—
101#14519702—41no—
102#14519702C2×C414yescomplemented
103#14519701—41no—
104#14519701C2×C414yescomplemented
105#14519700—41no—
106#14519698—41no—
107#14519689—22no—
108#14519689C2×C414yescomplemented
109#14519687—41no—
110#14519687—41no—
111#14519684—21no—
112#14519684—21no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120C22×Q8×C61C2311yescharacteristic
121C22×D4×C61C2311yescharacteristic
122C23×C4×C61—21no—
123C2×SD16×C61—41no—
124C2×SD16×C61—41no—
125C2×SD16×C61C2×C414yescomplemented
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C4×D4×C61—41no—
129C4×D4×C61—41no—
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C42×C61C2311yescharacteristic
134#103×C61—41no—
135#102×C61—41no—
136#95×C61—21no—
137#95×C61—21no—
138C24×C61—21no—
139C23×D61C2×D411yescharacteristic
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61C22×C412yes—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C22×C412yes—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61—42no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—24no—
162C2×C22⋊D61—42no—
163C2×C22⋊D61—42no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170C22×Dic61C2×D411yescharacteristic
171Q8×D61—44no—
172Q8×D61—44no—
173Q8×D61—44no—
174Q8×D61—44no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—24no—
180C2×C4×D61—22no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—41no—
184C2×C4×D61—41no—
185C2×C4×D61—41no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—42no—
191C2×C4×D61C22×C412yes—
192C2×C4×D61#4112yes—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122—24no—
199C2×Dic122—42no—
200C2×Dic122—42no—
201C2×Dic122C22×C412yes—
202SD16×C61—44no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61C22×C412yes—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C22⋊C4×C61—42no—
214C42×C61—21no—
215C42×C61—21no—
216C22⋊Dic61—24no—
217C22⋊Dic61—42no—
218C22⋊Dic61—42no—
219#11758200—44no—
220#11758198—42no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C4⋊Dic61C22×C412yes—
227#11758196—42no—
228#11758196—42no—
229C4×Dic61—21no—
230C4×Dic61—21no—
231C4×Dic61—41no—
232C4×Dic61—41no—
233C4×Dic61—42no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418C22×C412yes—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61C22×D411yescharacteristic
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61C4×D412yes—
253C22×D61AGL(1,ℤ/8)12yes—
254C22×D61#13712yes—
255Q8×C61—22no—
256Q8×C61—22no—
257Q8×C61—41no—
258Q8×C61—41no—
259D4×C61—22no—
260D4×C61—22no—
261D4×C61—41no—
262D4×C61—41no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—22no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—84no—
278C2×C4×C61#13712yes—
279C2×C4×C61C23×C411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61H(5,𝔽2)11yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C22⋊D61—48no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61C4×D412yes—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—44no—
312C4×D61—44no—
313C4×D61—48no—
314C4×D61—84no—
315Dic122—22no—
316Dic122—22no—
317Dic122—48no—
318Dic122—41no—
319Dic122—41no—
320C8×C61—22no—
321C8×C61—41no—
322#92418—22no—
323#92418—41no—
324#22047—611nomaximal, Sylow
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—81no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61C2×C4×D411yescharacteristic
333C22×C61#53411yescharacteristic
334C22×C61#53511yescharacteristic
335C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
336C22×C61C2×#13711yescharacteristic
337C22×C61C2×#13711yescharacteristic
338C22×C61#57511yescharacteristic
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—22no—
343C2×D61—22no—
344C2×D61—22no—
345C2×D61#44014yes—
346C4×C61—22no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61—81no—
350C4×C61—81no—
351C4×C61#51811yescharacteristic
352C4×C61#51811yescharacteristic
353C4×C61#53811yescharacteristic
354C4×C61#53811yescharacteristic
355Dic61—22no—
356Dic61—42no—
357Dic61—41no—
358Dic61—42no—
359Dic61—41no—
360Dic61—81no—
361Dic61—81no—
362C2×#448—611no—
363C4×#121—611no—
364C2×#391—611no—
365#1973—611no—
366#1973—611no—
367#1935—611no—
368#1935—611no—
369#1928—611no—
370#1928—611no—
371#1877—611no—
372#1877D6111yescharacteristic, complemented
373#1874—611no—
374#1852—611no—
375#1787—611no—
376#1749—611no—
377C2×C61—82no—
378C2×C61#232111yescharacteristic
379C2×C61C2×#44011yescharacteristic
380C2×C61C4×#13711yescharacteristic
381C2×C61#319311yescharacteristic
382C2×C61#319611yescharacteristic
383C2×C61#321311yescharacteristic
384C2×C61#321811yescharacteristic
385D61—24no—
386C23×Q8—611no—
387C22×SD16—611no—
388C22×SD16C2×D6111yescharacteristic
389C2×#121—611no—
390C2×C4×D4—1221no—
391C2×C4×D4C2×D6111yescharacteristic
392C22×C4⋊C4—611no—
393C22×C42—611no—
394#448—618no—
395C2×#107—611no—
396C2×#107—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103C2×D6111yescharacteristic
403C2×#102—611no—
404C2×#102C2×D6111yescharacteristic
405C2×C22⋊C8—611no—
406C2×C22⋊C8—611no—
407C2×#97—611no—
408C2×#97—611no—
409#391—611no—
410#391—611no—
411#391—611no—
412#391—1221no—
413#391—1221no—
414#391C2×D6111yescharacteristic
415#390—611no—
416#389—611no—
417#388—1221no—
418#386—1221no—
419#380—611no—
420C4×C4⋊C4—611no—
421C4×C22⋊C4—1221no—
422C2×#95—1221no—
423C2×#95—1221no—
424#340—611no—
425#340—611no—
426#340—611no—
427#340C2×D6111yescharacteristic
428#336—611no—
429#336C2×D6111yescharacteristic
430C61#2204711yescharacteristic, complemented, Sylow
431C22×Q8—614no—
432C22×Q8—611no—
433C22×Q8—1221no—
434C22×Q8—1222no—
435C22×Q8—2441no—
436C22×Q8—2441no—
437C22×Q8—2441no—
438C22×Q8—2441no—
439C22×Q8C22×D6111yescharacteristic
440C22×D4—1221no—
441C22×D4C22×D6111yescharacteristic
442C23×C4—21no—
443C23×C4—611no—
444C23×C4—611no—
445C23×C4—611no—
446C23×C4—1221no—
447C23×C4—1221no—
448C2×SD16—41no—
449C2×SD16—41no—
450C2×SD16—614no—
451C2×SD16—2441no—
452C2×SD16—2441no—
453C2×SD16C4×D6114yescomplemented
454C22×C8—611no—
455C22×C8—611no—
456C22×C8C22×D6111yescharacteristic
457C22×C8C22×D6111yescharacteristic
458#121—614no—
459#121—1222no—
460C4×D4—41no—
461C4×D4—41no—
462C4×D4—2444no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—611no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—2441no—
469C2×C4⋊C4—2441no—
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—1221no—
481C2×C42—2441no—
482C2×C42—2441no—
483C2×C42C22×D6111yescharacteristic
484#107—2441no—
485#107—2441no—
486#103—41no—
487#103—614no—
488#103—614no—
489#103—2441no—
490#103—2441no—
491#103—2441no—
492#102—41no—
493#102—2441no—
494C22⋊C8—614no—
495C22⋊C8—1222no—
496#97—2441no—
497#97—2441no—
498#95—21no—
499#95—21no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504#95—1221no—
505#95—1221no—
506#95—1221no—
507#95—1221no—
508#95—1221no—
509C24—21no—
510C24—611no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—612no—
517C2×Q8—1224no—
518C2×Q8—1221no—
519C2×Q8—1221no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8—2442no—
524C2×Q8—2442no—
525C2×Q8—2444no—
526C2×Q8—2444no—
527C2×Q8—2444no—
528C2×Q8—2444no—
529C2×Q8C2×C4×D6112yes—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—1224no—
536C2×D4—2442no—
537C2×D4—2442no—
538C2×D4C2×C4×D6112yes—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—611no—
546C22×C4—612no—
547C22×C4—612no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1224no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—1222no—
560C22×C4—1221no—
561C22×C4—1221no—
562C22×C4—2441no—
563C22×C4—2441no—
564C22×C4—2441no—
565C22×C4—2442no—
566C22×C4—2442no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4—2442no—
570C22×C4D4×D6111yescharacteristic
571C22×C4D4×D6111yescharacteristic
572C22×C4C23×D6111yescharacteristic
573SD16—44no—
574SD16—2444no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—612no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8C2×C4×D6112yes—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—612no—
592C4⋊C4—1221no—
593C4⋊C4—1221no—
594C4⋊C4—1221no—
595C4⋊C4—1221no—
596C4⋊C4—1221no—
597C4⋊C4—2442no—
598C4⋊C4—2442no—
599C22⋊C4—42no—
600C22⋊C4—1224no—
601C22⋊C4—2442no—
602C22⋊C4—2442no—
603C22⋊C4—2442no—
604C42—21no—
605C42—21no—
606C42—1221no—
607C42—1221no—
608C42—2441no—
609C42—2441no—
610C42—2442no—
611C23—22no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—612no—
619C23—612no—
620C23—612no—
621C23—1221no—
622C23—1221no—
623C23—1221no—
624C23—1221no—
625C23C2×D4×D6111yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—41no—
629Q8—41no—
630Q8—1222no—
631Q8—1222no—
632Q8—2448no—
633Q8—2441no—
634Q8—2441no—
635D4—22no—
636D4—22no—
637D4—41no—
638D4—41no—
639D4—2448no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—84no—
655C2×C4—612no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—4884no—
671C2×C4—2444no—
672C2×C4—2444no—
673C2×C4—2448no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4#1451980612yes—
685C2×C4C22×C4×D6111yescharacteristic
686C2×C4#41×D6111yescharacteristic
687C2×C4#1451982211yescharacteristic
688C2×C4#1451982211yescharacteristic
689C2×C4#1451982211yescharacteristic
690C2×C4#1451982311yescharacteristic
691C8—22no—
692C8—41no—
693C8—1222no—
694C8—2441no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—614no—
703C22—1222no—
704C22—1222no—
705C22—1222no—
706C22—1222no—
707C22—1222no—
708C22—1222no—
709C22C4×D4×D6111yescharacteristic
710C22#1684032211yescharacteristic
711C22#1684032811yescharacteristic
712C22AGL(1,ℤ/8)×D6111yescharacteristic
713C22#137×D6111yescharacteristic
714C22C2×#1451980611yescharacteristic
715C22#1684055911yescharacteristic
716C4—22no—
717C4—41no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—1222no—
722C4—4881no—
723C4—4881no—
724C4—2442no—
725C4—2441no—
726C4—2442no—
727C4—2441no—
728C4#1684023411yescharacteristic
729C4#1684023511yescharacteristic
730C4#1684034411yescharacteristic
731C4#1684034811yescharacteristic
732C2—82no—
733C2—1224no—
734C2#2144847511yescharacteristic
735C2#440×D6111yescharacteristic
736C2C4×#1451980611yescharacteristic
737C2#2145662211yescharacteristic
738C2#2145664711yescharacteristic
739C2#2145680411yescharacteristic
740C2#2145684511yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1877C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
cosocleC22×C4×C61C24
hypercenter#1877D61
hypocenterC61#22047
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
3. #391×D61C2semidirect
4. #21446702C2semidirect
5. #21446701C2semidirect
6. #21446507C2semidirect
7. #21446506C2semidirect
8. #21446461C2semidirect
9. #21446457C2semidirect
10. #21446153C2semidirect
12. #21446008C2semidirect
13. #21445752C2semidirect
14. #21445580C2semidirect
15. C61×#1877C2semidirect
22. #16839899C4semidirect
67. C2×Q8×D61C2×C4semidirect
76. C2×#11758200C2×C4semidirect
102. #14519702C2×C4semidirect
104. #14519701C2×C4semidirect
108. #14519689C2×C4semidirect
125. C2×SD16×C61C2×C4semidirect
372. #1877D61semidirect
430. C61#22047semidirect
453. C2×SD16C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398992
C4×#145197482
#391×D612
#214467022
#214467012
#214465072
#214465062
#214464612
#214464572
#214461532
#214461332
#214460082
#214457522
#214455802
C61×#18772
#2204761