Finite Group Databasebeta

← #29691307

Subgroups — #29691307

Order 15616.

1024 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839909C211yesmaximal, characteristic
2#21448508C211yesmaximal, characteristic, complemented
3#21448412C211yesmaximal, characteristic, complemented
4#21446693C211yesmaximal, characteristic, complemented
5#21446671C211yesmaximal, characteristic, complemented
6#21446507C211yesmaximal, characteristic, complemented
7#21446500C211yesmaximal, characteristic, complemented
8#21446452C211yesmaximal, characteristic, complemented
9#21446445C211yesmaximal, characteristic, complemented
10#21446168C211yesmaximal, characteristic, complemented
11#21446154C211yesmaximal, characteristic, complemented
12#21446136C211yesmaximal, characteristic, complemented
13#21445757C211yesmaximal, characteristic, complemented
14#21445587C211yesmaximal, characteristic, complemented
15C61×#1853C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×#11758190C2211yescharacteristic
18C22×D488C2211yescharacteristic
19C2×#14519751C2211yescharacteristic
20C2×#14519739C2211yescharacteristic
21C2×#14519736C2211yescharacteristic
22#16839909C418yescomplemented
23C2×#14519702C2211yescharacteristic
24C2×#14519700C2211yescharacteristic
25C2×#14519700C2211yescharacteristic
26C2×#14519699C2211yescharacteristic
27C2×#14519697C2211yescharacteristic
28C2×#14519697C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×#14519687C2211yescharacteristic
33C2×C8×Dic61C2211yescharacteristic
34#16839667C2211yescharacteristic
35#16839667C2211yescharacteristic
36#16839663C2211yescharacteristic
37#16839663C2211yescharacteristic
38#16839663C2211yescharacteristic
39#16839662—21no—
40#16839658C2211yescharacteristic
41#16839654—21no—
42#16839641—21no—
43#16839641—21no—
44#16839638—21no—
45#16839636—21no—
46#16839619—21no—
47#16839619—21no—
48C4⋊C4×Dic61C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53C22×C4⋊C4×C61C2211yescharacteristic
54C2×#106×C61C2211yescharacteristic
55C2×#106×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C61×#380C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C2×#11758222—22no—
61C2×#11758222—41no—
62C2×#11758222—41no—
63C2×#11758222—41no—
64C2×#11758222—41no—
65C2×#11758222C2×C414yescomplemented
66C22×Dic122C2311yescharacteristic
67C22×D244C2311yescharacteristic
68C22×D244C2311yescharacteristic
69C22×C22⋊D61—21no—
70C22×C22⋊D61—21no—
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C2×#11758190—41no—
74C2×#11758190—41no—
75C2×#11758190C2×C414yescomplemented
76C2×D488—41no—
77C2×D488—41no—
78C2×D488C2×C414yescomplemented
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81#14519751—22no—
82#14519751C2×C414yes—
83#14519739—41no—
84#14519739—41no—
85#14519736—41no—
86#14519736—41no—
87C2×C4⋊Dic61D411yescharacteristic
88C2×C4⋊Dic61D411yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×#11758196—21no—
91C2×C22⋊Dic61D411yescharacteristic
92C2×C22⋊Dic61D411yescharacteristic
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61C2311yescharacteristic
103C2×C4×Dic61C2311yescharacteristic
104#14519702C2×C414yescomplemented
105#14519700—41no—
106#14519700—41no—
107#14519699C2×C414yescomplemented
108#14519697—41no—
109#14519697—41no—
110#14519697—41no—
111#14519697—41no—
112C22⋊#92418—22no—
113#14519687—41no—
114C8×Dic61—41no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121C23×C4×C61—21no—
122C23×C4×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C2×C4⋊C4×C61—21no—
126C2×C4⋊C4×C61—41no—
127C2×C4⋊C4×C61—41no—
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C4⋊C4×C61C2311yescharacteristic
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C22⋊C4×C61—21no—
133#106×C61—41no—
134#106×C61—41no—
135C22⋊C8×C61C2×C414yescomplemented
136#95×C61—21no—
137C24×C61C2×D411yescharacteristic
138C23×D61—21no—
139C23×D61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—42no—
149C22×C4×C61—81no—
150C22×C4×C61—81no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61#4112yes—
154C22×C4×C61C2411yescharacteristic
155C2×C22⋊D61—24no—
156C2×C22⋊D61—24no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—81no—
160C2×C22⋊D61—81no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167#11758222—44no—
168#11758222—44no—
169#11758222—44no—
170#11758222—44no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244—21no—
181C2×D244C22×C412yes—
182C2×D244C22×C412yes—
183C2×C4×D61—24no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61—81no—
188C2×C4×D61—81no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122C22×C412yes—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61C22×C412yes—
200C2×C8×C61C22×C412yes—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—42no—
210C22⋊C4×C61—81no—
211C22⋊Dic61—41no—
212C22⋊Dic61—41no—
213#11758198—24no—
214#11758198—42no—
215#11758198—81no—
216#11758198—81no—
217#11758198—81no—
218#11758198—81no—
219#11758198—81no—
220#11758198—81no—
221C4⋊Dic61—21no—
222C4⋊Dic61—41no—
223C4⋊Dic61—41no—
224C4⋊Dic61C22×C412yes—
225#11758196—81no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61—81no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237D488—44no—
238#11758190—44no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—21no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61C4×D412yes—
246C23×C61C22×D411yescharacteristic
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61—41no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
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—41no—
278C2×C4×C61—41no—
279C2×C4×C61—84no—
280C2×C4×C61C4×D412yes—
281C2×C4×C61C23×C411yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
286C2×C4×C61H(5,𝔽2)11yescharacteristic
287C22⋊D61—48no—
288C22⋊D61—84no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307D244—22no—
308D244—22no—
309D244—22no—
310D244—22no—
311D244—41no—
312D244—41no—
313D244—41no—
314D244—41no—
315C4×D61—48no—
316C4×D61—84no—
317Dic122—22no—
318Dic122—22no—
319Dic122—41no—
320Dic122—41no—
321C8×C61—22no—
322C8×C61—22no—
323#92418—41no—
324#92418—41no—
325#22053—611nomaximal, Sylow
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—41no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61C2×C4×D411yescharacteristic
334C22×C61#53411yescharacteristic
335C22×C61#53511yescharacteristic
336C22×C61#57611yescharacteristic
337C22×C61#57711yescharacteristic
338C22×C61#57711yescharacteristic
339C22×C61#57711yescharacteristic
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—42no—
346C2×D61—81no—
347C2×D61—81no—
348C2×D61—81no—
349C2×D61—81no—
350C2×D61—81no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—81no—
354C4×C61—22no—
355C4×C61—81no—
356C4×C61—81no—
357C4×C61—81no—
358C4×C61—81no—
359C4×C61#51811yescharacteristic
360C4×C61#51811yescharacteristic
361C4×C61#53811yescharacteristic
362C4×C61#53811yescharacteristic
363Dic61—42no—
364Dic61—41no—
365Dic61—41no—
366Dic61—42no—
367Dic61—41no—
368Dic61—41no—
369C2×#449—611no—
370#2324—611no—
371#2311—611no—
372#1972—611no—
373#1968—611no—
374#1935—611no—
375#1934—611no—
376#1927—611no—
377#1926—611no—
378#1879—611no—
379#1877—611no—
380#1874—611no—
381#1853D6111yescharacteristic, complemented
382#1788—611no—
383#1750—611no—
384C2×C61—42no—
385C2×C61#232111yescharacteristic
386C2×C61#294611yescharacteristic
387C2×C61#295211yescharacteristic
388C2×C61#319811yescharacteristic
389C2×C61#320411yescharacteristic
390C2×C61#322111yescharacteristic
391C2×C61#322411yescharacteristic
392D61—82no—
393D61—82no—
394C22×#41—611no—
395C22×SD16—611no—
396C22×D8—611no—
397C2×#121—611no—
398C2×C4×D4—611no—
399C2×#117—611no—
400C22×C4⋊C4C2×D6111yescharacteristic
401#449—618no—
402C2×#106C2×D6111yescharacteristic
403C2×#106C2×D6111yescharacteristic
404C2×#103—611no—
405C2×#103—611no—
406C2×#103—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#102—611no—
410C2×#102—611no—
411C2×#102—611no—
412C2×C22⋊C8—611no—
413C2×C22⋊C8C2×D6111yescharacteristic
414C2×#97—611no—
415C2×C4×C8—611no—
416#391—611no—
417#391—611no—
418#390—611no—
419#390—611no—
420#390—611no—
421#390—1221no—
422#389—611no—
423#388—1221no—
424#386—1221no—
425#386—1221no—
426#386—1221no—
427#385—1221no—
428#380—1221no—
429#380—1221no—
430#380C2×D6111yescharacteristic
431C4×C4⋊C4—611no—
432#340—611no—
433#340—611no—
434#340C2×D6111yescharacteristic
435#340C2×D6111yescharacteristic
436#336—611no—
437#336—611no—
438C61#2205311yescharacteristic, complemented, Sylow
439C2×#41—614no—
440C2×#41—1222no—
441C2×#41—2441no—
442C2×#41—2441no—
443C2×#41—2441no—
444C2×#41—2441no—
445C22×Q8—611no—
446C22×D4—611no—
447C22×D4—611no—
448C22×D4—1221no—
449C22×D4—1221no—
450C23×C4—21no—
451C23×C4—1221no—
452C23×C4—1221no—
453C23×C4C22×D6111yescharacteristic
454C2×SD16—614no—
455C2×SD16—2441no—
456C2×SD16—2441no—
457C2×D8—614no—
458C2×D8—2441no—
459C2×D8—2441no—
460C22×C8—611no—
461C22×C8—611no—
462C22×C8C22×D6111yescharacteristic
463C22×C8C22×D6111yescharacteristic
464#121—614no—
465#121—1222no—
466C4×D4—2441no—
467C4×D4—2441no—
468#117—2441no—
469#117—2441no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—41no—
472C2×C4⋊C4—41no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—1221no—
477C2×C4⋊C4C22×D6111yescharacteristic
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C4⋊C4C22×D6111yescharacteristic
480C2×C4⋊C4C22×D6111yescharacteristic
481C2×C22⋊C4—21no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—611no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C22⋊C4—1221no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1221no—
489C2×C22⋊C4—1221no—
490C2×C22⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—1221no—
495#106—41no—
496#106—41no—
497#103—614no—
498#103—2441no—
499#103—2441no—
500#102—614no—
501#102—2441no—
502#102—2441no—
503#102—2441no—
504#102—2441no—
505C22⋊C8—1222no—
506C22⋊C8C4×D6114yescomplemented
507#97—2441no—
508C4×C8—2441no—
509#95—21no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514#95—1221no—
515#95—1221no—
516C24—1221no—
517C24—1221no—
518C24D4×D6111yescharacteristic
519#41—2444no—
520#41—2444no—
521#41—2444no—
522#41—2444no—
523C2×Q8—612no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×D4—612no—
530C2×D4—612no—
531C2×D4—1224no—
532C2×D4—1224no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—1221no—
536C2×D4—1221no—
537C2×D4—1221no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—4881no—
544C2×D4—4881no—
545C2×D4—2442no—
546C2×D4—2442no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—42no—
556C22×C4—81no—
557C22×C4—81no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—1221no—
563C22×C4—1221no—
564C22×C4—1224no—
565C22×C4—4881no—
566C22×C4—4881no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4—2442no—
570C22×C4C2×C4×D6112yes—
571C22×C4D4×D6111yescharacteristic
572C22×C4#1175822612yes—
573C22×C4C23×D6111yescharacteristic
574SD16—2444no—
575D8—2444no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8C2×C4×D6112yes—
587C2×C8C2×C4×D6112yes—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—42no—
597C4⋊C4—612no—
598C4⋊C4—1221no—
599C4⋊C4—4881no—
600C4⋊C4—2441no—
601C4⋊C4—2441no—
602C22⋊C4—81no—
603C22⋊C4—1224no—
604C22⋊C4—4881no—
605C22⋊C4—4881no—
606C22⋊C4—4881no—
607C22⋊C4—4881no—
608C22⋊C4—4881no—
609C22⋊C4—4881no—
610C22⋊C4—2442no—
611C22⋊C4—2441no—
612C22⋊C4—2441no—
613C42—1221no—
614C42—1221no—
615C42—1221no—
616C42—1221no—
617C42—4881no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—1222no—
625C23—1222no—
626C23—2441no—
627C23—2441no—
628C23—2441no—
629C23—2441no—
630C23—2441no—
631C23—2441no—
632C23—2441no—
633C23—2441no—
634C23—2441no—
635C23—2441no—
636C23—2441no—
637C23—2441no—
638C23#1451973912yes—
639C23C2×D4×D6111yescharacteristic
640Q8—1222no—
641Q8—1222no—
642Q8—2441no—
643Q8—2441no—
644D4—1222no—
645D4—1222no—
646D4—1222no—
647D4—1222no—
648D4—4884no—
649D4—2448no—
650D4—2441no—
651D4—2441no—
652D4—2441no—
653D4—2441no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—84no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1221no—
676C2×C4—1221no—
677C2×C4—1221no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—1221no—
681C2×C4—1221no—
682C2×C4—1221no—
683C2×C4—1221no—
684C2×C4—1221no—
685C2×C4—1221no—
686C2×C4—1221no—
687C2×C4—4884no—
688C2×C4—2448no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4#1451973912yes—
694C2×C4C22×C4×D6111yescharacteristic
695C2×C4C2×#1175822611yescharacteristic
696C2×C4#1451982211yescharacteristic
697C2×C4#1451982211yescharacteristic
698C2×C4#1451982311yescharacteristic
699C2×C4#1451982311yescharacteristic
700C8—22no—
701C8—22no—
702C8—2441no—
703C8—2441no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—4881no—
712C22—4881no—
713C22—4881no—
714C22—4881no—
715C22—4881no—
716C22—4881no—
717C22—4881no—
718C22—4881no—
719C22—2442no—
720C22—2442no—
721C22—2442no—
722C22—2442no—
723C22—2442no—
724C22—2442no—
725C22C2×#1451973911yescharacteristic
726C22#1684032311yescharacteristic
727C22#1684032711yescharacteristic
728C22#1684056611yescharacteristic
729C22#1684056811yescharacteristic
730C22#1684056811yescharacteristic
731C22#1684057111yescharacteristic
732C4—22no—
733C4—81no—
734C4—81no—
735C4—81no—
736C4—81no—
737C4—2442no—
738C4—2441no—
739C4—2441no—
740C4—2442no—
741C4—2441no—
742C4—2441no—
743C4#1684023411yescharacteristic
744C4#1684023411yescharacteristic
745C4#1684035211yescharacteristic
746C4#1684035211yescharacteristic
747C2—42no—
748C2—4882no—
749C2—4882no—
750C2#2144847611yescharacteristic
751C2#2145464911yescharacteristic
752C2#2145470211yescharacteristic
753C2#2145667611yescharacteristic
754C2#2145672911yescharacteristic
755C2#2145687611yescharacteristic
756C2#2145691711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1853C2
socleC23×C61C22×D4
prime radicalC2×#16839909C2
cosocleC22×C4×C61C24
hypercenter#1853D61
hypocenterC61#22053
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1853

Complements

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

NH ≅ G/Ntype
2. #21448508C2semidirect
3. #21448412C2semidirect
4. #21446693C2semidirect
5. #21446671C2semidirect
6. #21446507C2semidirect
7. #21446500C2semidirect
8. #21446452C2semidirect
9. #21446445C2semidirect
10. #21446168C2semidirect
11. #21446154C2semidirect
12. #21446136C2semidirect
13. #21445757C2semidirect
14. #21445587C2semidirect
15. C61×#1853C2semidirect
22. #16839909C4semidirect
65. C2×#11758222C2×C4semidirect
75. C2×#11758190C2×C4semidirect
78. C2×D488C2×C4semidirect
104. #14519702C2×C4semidirect
107. #14519699C2×C4semidirect
135. C22⋊C8×C61C2×C4semidirect
381. #1853D61semidirect
438. C61#22053semidirect
506. C22⋊C8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399092
#214485082
#214484122
#214466932
#214466712
#214465072
#214465002
#214464522
#214464452
#214461682
#214461542
#214461362
#214457572
#214455872
C61×#18532
#2205361