Finite Group Databasebeta

← #30619618

Subgroups — #30619618

Order 15616.

884 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21461944C211yesmaximal, characteristic, complemented
2#21461941C211yesmaximal, characteristic, complemented
3#21461891C211yesmaximal, characteristic, complemented
4#21461888C211yesmaximal, characteristic, complemented
5#21461877C211yesmaximal, characteristic, complemented
6#21461873C211yesmaximal, characteristic, complemented
7#21461799C211yesmaximal, characteristic, complemented
8#21461797C211yesmaximal, characteristic, complemented
9#21461794C211yesmaximal, characteristic, complemented
10#21461794C211yesmaximal, characteristic, complemented
11#21461711C211yesmaximal, characteristic, complemented
12#21461560C211yesmaximal, characteristic, complemented
13C22⋊C4×#92420C211yesmaximal, characteristic, complemented
14C4×#14519834C211yesmaximal, characteristic, complemented
15#21448331C211yesmaximal, characteristic
16C22×#11758213C2211yescharacteristic
17C23×#92420C2211yescharacteristic
18C2×C4⋊#92420C2211yescharacteristic
19C2×C4⋊#92420C2211yescharacteristic
20C2×#14519834C2211yescharacteristic
21C2×#14519834C2211yescharacteristic
22C2×#14519834C2211yescharacteristic
23C2×#14519834C2211yescharacteristic
24C2×#14519834C2211yescharacteristic
25C2×#14519834C2211yescharacteristic
26C2×#14519834C2211yescharacteristic
27C2×C22⋊#92420C2211yescharacteristic
28C2×C22⋊#92420C2211yescharacteristic
29C2×C22⋊#92420C2211yescharacteristic
30C2×#14519832C2211yescharacteristic
31C2×C4×#92420C2211yescharacteristic
32C2×C4×#92420C2211yescharacteristic
33C2×C4×#92420C2211yescharacteristic
34#16840628C2211yescharacteristic
35#16840628C2211yescharacteristic
36#16840628C2211yescharacteristic
37#16840628C2211yescharacteristic
38#16840628C2211yescharacteristic
39#16840628C2211yescharacteristic
40#16840628C2211yescharacteristic
41#16840628C2211yescharacteristic
42#16840628C2211yescharacteristic
43#16840628C2211yescharacteristic
44C2×#14519750C411yescharacteristic
45C2×#14519739C2211yescharacteristic
46C2×#14519737C2211yescharacteristic
47C2×#14519737C2211yescharacteristic
48C2×C42×D61C2211yescharacteristic
49#16839662C411yescharacteristic
50#16839657C411yescharacteristic
51#16839653C411yescharacteristic
52#16839640C411yescharacteristic
53#16839638C411yescharacteristic
54#16839621C411yescharacteristic
55#16839613C2211yescharacteristic
56C22⋊C4×Dic61C2211yescharacteristic
57#16839609C2211yescharacteristic
58C61×#388C411yescharacteristic
59C2×#11758213—22no—
60C2×#11758213—41no—
61C2×#11758213—41no—
62C22×#92420—22no—
63C22×#92420—41no—
64C22×#92420—41no—
65C22×#92420C2311yescharacteristic
66C22×#92420C2311yescharacteristic
67C22×#92420C2311yescharacteristic
68C22×#92420C2311yescharacteristic
69C22×#92420C2311yescharacteristic
70C22×#92420C2311yescharacteristic
71C22×#92420C2311yescharacteristic
72C22×#92420C2311yescharacteristic
73C4⋊#92420—41no—
74C4⋊#92420—41no—
75#14519834—22no—
76#14519834—22no—
77#14519834—22no—
78#14519834—41no—
79#14519834—41no—
80#14519834—41no—
81#14519834—41no—
82C22⋊#92420—22no—
83C22⋊#92420—41no—
84C22⋊#92420—41no—
85#14519832—41no—
86C4×#92420—41no—
87C4×#92420—41no—
88C4×#92420—41no—
89C22×D244C2×C411yescharacteristic
90C22×C22⋊D61C2×C411yescharacteristic
91C22×C22⋊D61C2×C411yescharacteristic
92C23×Dic61C2311yescharacteristic
93C22×C4×D61C2×C411yescharacteristic
94C22×C4×D61C2×C411yescharacteristic
95C22×C4×D61C2311yescharacteristic
96C22×C4×D61C2311yescharacteristic
97#14519750—24no—
98#14519739—41no—
99#14519739—41no—
100#14519737—41no—
101#14519737—41no—
102#14519737—41no—
103#14519737—41no—
104C2×#11758196C2×C411yescharacteristic
105C2×#11758196C2×C411yescharacteristic
106C2×#11758196C2×C411yescharacteristic
107C2×#11758196C2×C411yescharacteristic
108C2×C22⋊Dic61C2×C411yescharacteristic
109C2×#11758198C2×C411yescharacteristic
110C2×#11758198C2×C411yescharacteristic
111C2×#11758198C2×C411yescharacteristic
112C2×#11758198C2×C411yescharacteristic
113C2×#11758198C2×C411yescharacteristic
114C2×#11758198C2×C411yescharacteristic
115C2×C4×Dic61C2×C411yescharacteristic
116C2×C4×Dic61C2311yescharacteristic
117C2×C4×Dic61C2311yescharacteristic
118C2×C4×Dic61C2311yescharacteristic
119C2×C4×Dic61C2311yescharacteristic
120C42×D61—41no—
121C42×D61—41no—
122#14519684C2×C411yescharacteristic
123#14519684C2×C411yescharacteristic
124#14519684C2×C411yescharacteristic
125#14519684C2×C411yescharacteristic
126C2×C4⋊C4×C61C2×C411yescharacteristic
127C2×C22⋊C4×C61C2×C411yescharacteristic
128C2×C22⋊C4×C61C2×C411yescharacteristic
129C2×C22⋊C4×C61C2×C411yescharacteristic
130C2×C42×C61C2×C411yescharacteristic
131#95×C61C2×C411yescharacteristic
132#95×C61C2×C411yescharacteristic
133C24×C61C22×C411yescharacteristic
134C23×D61C22×C411yescharacteristic
135C23×D61C22×C411yescharacteristic
136C22×C4×C61C22×C411yescharacteristic
137C22×C4×C61C22×C411yescharacteristic
138C22×C4×C61C22×C411yescharacteristic
139C22×C4×C61C22×C411yescharacteristic
140C22×C4×C61C22×C411yescharacteristic
141C22×C4×C61C22×C411yescharacteristic
142C2×C22⋊D61—22no—
143C2×C22⋊D61—22no—
144C2×C22⋊D61—22no—
145C2×C22⋊D61—22no—
146C2×C22⋊D61—41no—
147C2×C22⋊D61—41no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C22×Dic61—21no—
153C22×Dic61—21no—
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C22×C411yescharacteristic
157C22×Dic61C22×C411yescharacteristic
158C22×Dic61C22×C411yescharacteristic
159C22×Dic61C2411yescharacteristic
160C2×D244—22no—
161C2×D244—22no—
162C2×D244—41no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—22no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—41no—
180C2×C4×D61—41no—
181C2×#92420—21no—
182C2×#92420—21no—
183C2×#92420—21no—
184C2×#92420—21no—
185C2×#92420—21no—
186C2×#92420—21no—
187C2×#92420—21no—
188C2×#92420—21no—
189C2×#92420—21no—
190C2×#92420—21no—
191C2×#92420—21no—
192C2×#92420—21no—
193C2×#92420—21no—
194C2×#92420—21no—
195C2×#92420—21no—
196C2×#92420—21no—
197C2×#92420—21no—
198C2×#92420—21no—
199C2×#92420—21no—
200C2×#92420—21no—
201C2×#92420—21no—
202C2×#92420—21no—
203C2×#92420—44no—
204C2×#92420#4112yes—
205C2×#92420#4112yes—
206#11758213—44no—
207C4⋊C4×C61—41no—
208C22⋊C4×C61—41no—
209C22⋊C4×C61—41no—
210C22⋊C4×C61M1614yescomplemented
211C42×C61—41no—
212C22⋊Dic61—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—41no—
216#11758198—41no—
217#11758198—41no—
218#11758198—41no—
219#11758196—22no—
220#11758196—22no—
221#11758196—41no—
222#11758196—41no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—21no—
229C4×Dic61—21no—
230C4×Dic61—21no—
231C4×Dic61—41no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61C2×M1612yes—
239C23×C61C23×C411yescharacteristic
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—21no—
253C22×D61#13112yes—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61C2×M1612yes—
271C2×C4×C61C2×M1612yes—
272C22⋊D61—44no—
273C22⋊D61—44no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61#13112yes—
292C2×Dic61#13112yes—
293C2×Dic61C2×#4111yescharacteristic
294C2×Dic61C2×#4111yescharacteristic
295C2×Dic61H(5,𝔽2)11yescharacteristic
296C2×Dic61H(5,𝔽2)11yescharacteristic
297C2×Dic61H(5,𝔽2)11yescharacteristic
298C2×Dic61H(5,𝔽2)11yescharacteristic
299D244—44no—
300C4×D61—44no—
301C4×D61—44no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—41no—
310#92420—22no—
311#92420—22no—
312#92420—41no—
313#92420—41no—
314#92420—41no—
315#92420—41no—
316#92420—41no—
317#92420—41no—
318#22333—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61C4×#4111yescharacteristic
327C22×C61#51811yescharacteristic
328C22×C61#51811yescharacteristic
329C22×C61C22×M1611yescharacteristic
330C22×C61C2×#13111yescharacteristic
331C22×C61C2×#13111yescharacteristic
332C22×C61C2×#13111yescharacteristic
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—41no—
342C2×D61—41no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—41no—
347C4×C61—22no—
348C4×C61—22no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61—41no—
352C4×C61—41no—
353Dic61—22no—
354Dic61—22no—
355Dic61—41no—
356Dic61—41no—
357Dic61—41no—
358Dic61#53811yescharacteristic
359Dic61#53811yescharacteristic
360Dic61#54011yescharacteristic
361Dic61#54011yescharacteristic
362C4×#121—611no—
363#1955—611no—
364#1954—611no—
365#1923—611no—
366#1923—611no—
367#1917—611no—
368#1916—611no—
369#1870—611no—
370#1870—611no—
371#1869—611no—
372#1869—611no—
373#1817—611no—
374#1753—611no—
375C8×C22⋊C4—611no—
376C4×C22⋊C8—611no—
377C2×C61—42no—
378C2×C61#233311yescharacteristic
379C2×C61#296511yescharacteristic
380C2×C61#296611yescharacteristic
381C2×C61#297411yescharacteristic
382C2×C61#297411yescharacteristic
383C2×C61#297711yescharacteristic
384C2×C61#297911yescharacteristic
385D61—42no—
386D61—81no—
387C22×M16—611no—
388C23×C8—611no—
389C2×#121—611no—
390C2×C4×D4—611no—
391C2×C4×D4—611no—
392C2×C4×D4—611no—
393C22×C42—611no—
394C2×C4⋊C8—611no—
395C2×C4⋊C8—611no—
396C2×C22⋊C8—611no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8—611no—
399C2×C22⋊C8—611no—
400C2×C22⋊C8—611no—
401C2×C22⋊C8—611no—
402C2×C22⋊C8—611no—
403C2×C22⋊C8—611no—
404C2×C22⋊C8—611no—
405C2×C22⋊C8—611no—
406C2×#97—611no—
407C2×C4×C8—611no—
408C2×C4×C8—611no—
409C2×C4×C8—611no—
410#390—611no—
411#389—611no—
412#388—611no—
413#388#692311yescharacteristic
414#386—611no—
415#386—611no—
416#380—611no—
417C4×C4⋊C4—611no—
418C4×C22⋊C4—611no—
419C4×C22⋊C4—611no—
420#336—611no—
421#336—611no—
422#336—611no—
423#336—611no—
424#336—611no—
425#336—611no—
426#336—611no—
427#336—611no—
428#336—611no—
429#336—611no—
430C61#2233311yescharacteristic, complemented, Sylow
431C22×D4—611no—
432C22×D4—611no—
433C22×D4—611no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—611no—
438C23×C4—611no—
439C2×M16—1222no—
440C2×M16—2441no—
441C2×M16—2441no—
442C22×C8—611no—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8—611no—
446C22×C8—611no—
447C22×C8—611no—
448C22×C8—611no—
449C22×C8—611no—
450C22×C8—1222no—
451C22×C8—2441no—
452C22×C8—2441no—
453#121—1224no—
454C4×D4—2441no—
455C4×D4—2441no—
456C4×D4—2441no—
457C4×D4—2441no—
458C4×D4—2441no—
459C4×D4—2441no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4C2×#692311yescharacteristic
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—611no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4C2×#692311yescharacteristic
473C2×C22⋊C4C2×#692311yescharacteristic
474C2×C22⋊C4C2×#692311yescharacteristic
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—2441no—
481C2×C42—2441no—
482C2×C42C2×#692311yescharacteristic
483C4⋊C8—2441no—
484C4⋊C8—2441no—
485C22⋊C8—1222no—
486C22⋊C8—1222no—
487C22⋊C8—1222no—
488C22⋊C8—1222no—
489C22⋊C8—2441no—
490C22⋊C8—2441no—
491C22⋊C8—2441no—
492C22⋊C8—2441no—
493C22⋊C8—2441no—
494C22⋊C8—2441no—
495#97—2441no—
496C4×C8—2441no—
497C4×C8—2441no—
498C4×C8—2441no—
499#95—611no—
500#95—611no—
501#95—611no—
502#95—611no—
503#95C2×#692311yescharacteristic
504#95C2×#692311yescharacteristic
505C24—611no—
506C24—611no—
507C24C22×#692311yescharacteristic
508C2×D4—1222no—
509C2×D4—1222no—
510C2×D4—1222no—
511C2×D4—1222no—
512C2×D4—1222no—
513C2×D4—1222no—
514C2×D4—2441no—
515C2×D4—2441no—
516C2×D4—2441no—
517C22×C4—611no—
518C22×C4—611no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—611no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1222no—
545C22×C4—2441no—
546C22×C4—2441no—
547C22×C4C22×#692311yescharacteristic
548C22×C4C22×#692311yescharacteristic
549C22×C4C22×#692311yescharacteristic
550C22×C4C22×#692311yescharacteristic
551C22×C4C22×#692311yescharacteristic
552C22×C4C22×#692311yescharacteristic
553M16—2444no—
554C2×C8—612no—
555C2×C8—612no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—1221no—
571C2×C8—1221no—
572C2×C8—1221no—
573C2×C8—1221no—
574C2×C8—1221no—
575C2×C8—1221no—
576C2×C8—1221no—
577C2×C8—1221no—
578C2×C8—2444no—
579C4⋊C4—41no—
580C4⋊C4—1222no—
581C4⋊C4—1222no—
582C4⋊C4—2441no—
583C4⋊C4—2441no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—2441no—
590C22⋊C4—2441no—
591C22⋊C4—2441no—
592C22⋊C4—2441no—
593C22⋊C4#1175821314yescomplemented
594C42—41no—
595C42—1221no—
596C42—1221no—
597C42—1221no—
598C42—1221no—
599C42—1221no—
600C42—1221no—
601C42—1221no—
602C42—1221no—
603C42—2441no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—612no—
611C23—1221no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23—1221no—
616C23—1221no—
617C23—1221no—
618C23—1221no—
619C23—1221no—
620C23—1221no—
621C23—1221no—
622C23—1221no—
623C23—1221no—
624C23C2×#1175821312yes—
625C23C23×#692311yescharacteristic
626D4—2444no—
627D4—2444no—
628D4—2444no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—611no—
646C2×C4—611no—
647C2×C4—611no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—612no—
652C2×C4—612no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—2444no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2444no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4C2×#1175821312yes—
681C2×C4C2×#1175821312yes—
682C8—1222no—
683C8—1222no—
684C8—2441no—
685C8—2441no—
686C8—2441no—
687C8—2441no—
688C8—2441no—
689C8—2441no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—1222no—
698C22—1222no—
699C22—1222no—
700C22—2441no—
701C22—2441no—
702C22—2441no—
703C22—2441no—
704C22—2441no—
705C22—2441no—
706C22—2441no—
707C22—2441no—
708C22—2441no—
709C22—2441no—
710C22—2441no—
711C22#41×#692311yescharacteristic
712C22#1684082911yescharacteristic
713C22#1684082911yescharacteristic
714C22C22×#1175821311yescharacteristic
715C22D61⋊#13111yescharacteristic
716C22D61⋊#13111yescharacteristic
717C22D61⋊#13111yescharacteristic
718C4—22no—
719C4—22no—
720C4—41no—
721C4—41no—
722C4—41no—
723C4—41no—
724C4—611no—
725C4—611no—
726C4—611no—
727C4—611no—
728C4—1222no—
729C4—1222no—
730C4—2441no—
731C4—2441no—
732C4—2441no—
733C2—42no—
734C2—4881no—
735C2—2442no—
736C2#2146231611yescharacteristic
737C2#2146262611yescharacteristic
738C2#2146263711yescharacteristic
739C2#2146267911yescharacteristic
740C2#2146267911yescharacteristic
741C2#2146269311yescharacteristic
742C2#2146270111yescharacteristic
subgroupG/H
center, FrattiniC23C23×#6923
commutator, socleC23×C61C23×C4
FittingC61×#388C4
prime radicalC2×#14519750C4
cosocleC22×Dic61C24
hypercenter#388#6923
hypocenterC61#22333
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #388

Complements

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

NH ≅ G/Ntype
1. #21461944C2semidirect
2. #21461941C2semidirect
3. #21461891C2semidirect
4. #21461888C2semidirect
5. #21461877C2semidirect
6. #21461873C2semidirect
7. #21461799C2semidirect
8. #21461797C2semidirect
9. #21461794C2semidirect
10. #21461794C2semidirect
11. #21461711C2semidirect
12. #21461560C2semidirect
13. C22⋊C4×#92420C2semidirect
14. C4×#14519834C2semidirect
210. C22⋊C4×C61M16semidirect
430. C61#22333semidirect
593. C22⋊C4#11758213semidirect

Maximal subgroups

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

subgroupindex
#214619442
#214619412
#214618912
#214618882
#214618772
#214618732
#214617992
#214617972
#214617942
#214617112
#214615602
C22⋊C4×#924202
C4×#145198342
#214483312
#2233361