Finite Group Databasebeta

← #29609376

Subgroups — #29609376

Order 15616.

2282 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
1C2×#16839665C212yesmaximal, complemented
2C2×#16839655C212yesmaximal, complemented
3C2×#16839642C212yesmaximal, complemented
4#21444064C211yesmaximal, characteristic, complemented
5#21444064C212yesmaximal, complemented
6#21444060C212yesmaximal, complemented
7#21444053C212yesmaximal, complemented
8#21444041C211yesmaximal, characteristic, complemented
9C2×C61×#392C211yesmaximal, characteristic
10C24×Dic61C2211yescharacteristic
11C22×C4⋊Dic61C2211yescharacteristic
12C22×C4⋊Dic61C2212yes—
13C22×C22⋊Dic61C2212yes—
14C22×C22⋊Dic61C2212yes—
15C22×C22⋊Dic61C2212yes—
16C22×C22⋊Dic61C2212yes—
17C22×C22⋊Dic61C2212yes—
18C22×C22⋊Dic61C2211yescharacteristic
19C22×C4×Dic61C2212yes—
20#16839665—28no—
21#16839655—28no—
22#16839642—28no—
23C2×#14519684C2212yes—
24C2×#14519684C2212yes—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2211yescharacteristic
28C2×#14519684C2212yes—
29C23×D4×C61C2212yes—
30C23×D4×C61C2211yescharacteristic
31C22×C22⋊C4×C61C2212yes—
32C22×C22⋊C4×C61C2211yescharacteristic
33C61×#392C418yescomplemented
34C2×#95×C61C2211yescharacteristic
35C23×Dic61—22no—
36C23×Dic61—24no—
37C23×Dic61—42no—
38C23×Dic61—41no—
39C23×Dic61—41no—
40C23×Dic61C2312yes—
41C23×Dic61C2312yes—
42C23×Dic61C2312yes—
43C23×Dic61C2312yes—
44C2×C4⋊Dic61—24no—
45C2×C4⋊Dic61—24no—
46C2×C4⋊Dic61—24no—
47C2×C4⋊Dic61—41no—
48C2×C4⋊Dic61—42no—
49C2×C22⋊Dic61—24no—
50C2×C22⋊Dic61—24no—
51C2×C22⋊Dic61—24no—
52C2×C22⋊Dic61—24no—
53C2×C22⋊Dic61—24no—
54C2×C22⋊Dic61—24no—
55C2×C22⋊Dic61—24no—
56C2×C22⋊Dic61—24no—
57C2×C22⋊Dic61—41no—
58C2×C22⋊Dic61—41no—
59C2×C22⋊Dic61—42no—
60C2×C22⋊Dic61—42no—
61C2×C22⋊Dic61—42no—
62C2×C22⋊Dic61—42no—
63C2×C22⋊Dic61—42no—
64C2×C22⋊Dic61—42no—
65C2×C22⋊Dic61—42no—
66C2×C22⋊Dic61D414yescomplemented
67C2×C4×Dic61—24no—
68C2×C4×Dic61—24no—
69C2×C4×Dic61—42no—
70#14519684—24no—
71#14519684—24no—
72#14519684—42no—
73#14519684—42no—
74#14519684—41no—
75#14519684D418yescomplemented
76C25×C61C2312yes—
77C25×C61C2311yescharacteristic
78C22×D4×C61—24no—
79C22×D4×C61—24no—
80C22×D4×C61—24no—
81C22×D4×C61—24no—
82C22×D4×C61—42no—
83C22×D4×C61—42no—
84C22×D4×C61—41no—
85C22×D4×C61—41no—
86C22×D4×C61—42no—
87C22×D4×C61—42no—
88C22×D4×C61C2×C418yes—
89C22×D4×C61C2×C414yescomplemented
90C23×C4×C61C2311yescharacteristic
91C23×C4×C61C2311yescharacteristic
92C23×C4×C61C2312yes—
93C2×C22⋊C4×C61—24no—
94C2×C22⋊C4×C61—24no—
95C2×C22⋊C4×C61—41no—
96C2×C22⋊C4×C61—41no—
97C2×C22⋊C4×C61C2×C414yes—
98C2×C22⋊C4×C61C2×C418yescomplemented
99#95×C61C2×C414yescomplemented
100C24×C61—22no—
101C24×C61—22no—
102C24×C61—21no—
103C24×C61—22no—
104C24×C61—21no—
105C24×C61—21no—
106C24×C61—22no—
107C24×C61—21no—
108C24×C61—22no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61—22no—
112C24×C61—22no—
113C24×C61—22no—
114C24×C61—22no—
115C24×C61—22no—
116C24×C61—22no—
117C24×C61—22no—
118C24×C61—22no—
119C24×C61—22no—
120C24×C61—22no—
121C24×C61—22no—
122C24×C61C22×C414yes—
123C24×C61C22×C412yes—
124C24×C61C2×D412yes—
125C24×C61#4112yes—
126C24×C61C2411yescharacteristic
127C2×D4×C61—216no—
128C2×D4×C61—216no—
129C2×D4×C61—48no—
130C2×D4×C61—44no—
131C2×D4×C61—48no—
132C2×D4×C61—48no—
133C2×D4×C61—48no—
134C2×D4×C61—48no—
135C2×D4×C61—48no—
136C2×D4×C61—48no—
137C2×D4×C61—44no—
138C2×D4×C61—44no—
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—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C22×C412yes—
153C22×C4×C61C22×C414yes—
154C22×C4×C61C2×D414yes—
155C22×C4×C61#4114yes—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
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×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61—44no—
182C22×Dic61—48no—
183C22×Dic61—48no—
184C22×Dic61—44no—
185C22×Dic61—44no—
186C22×Dic61C2×D414yes—
187C22×Dic61C2×D414yes—
188C22×Dic61C2×D414yes—
189C22⋊C4×C61—216no—
190C22⋊C4×C61—44no—
191C22⋊Dic61—44no—
192C22⋊Dic61—48no—
193C22⋊Dic61—48no—
194C22⋊Dic61—48no—
195C22⋊Dic61—48no—
196C22⋊Dic61—48no—
197C4⋊Dic61—44no—
198C4⋊Dic61—48no—
199C4×Dic61—48no—
200C23×C61—24no—
201C23×C61—22no—
202C23×C61—24no—
203C23×C61—22no—
204C23×C61—22no—
205C23×C61—22no—
206C23×C61—22no—
207C23×C61—22no—
208C23×C61—24no—
209C23×C61—24no—
210C23×C61—24no—
211C23×C61—24no—
212C23×C61—24no—
213C23×C61—24no—
214C23×C61—24no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—42no—
220C23×C61—42no—
221C23×C61—42no—
222C23×C61—42no—
223C23×C61—41no—
224C23×C61—42no—
225C23×C61—41no—
226C23×C61—42no—
227C23×C61—41no—
228C23×C61—41no—
229C23×C61—42no—
230C23×C61—42no—
231C23×C61—42no—
232C23×C61—42no—
233C23×C61—42no—
234C23×C61—42no—
235C23×C61—42no—
236C23×C61—42no—
237C23×C61—42no—
238C23×C61—42no—
239C23×C61—42no—
240C23×C61—42no—
241C23×C61—42no—
242C23×C61—42no—
243C23×C61—42no—
244C23×C61—42no—
245C23×C61—42no—
246C23×C61—42no—
247C23×C61—42no—
248C23×C61—42no—
249C23×C61—42no—
250C23×C61—42no—
251C23×C61—42no—
252C23×C61—42no—
253C23×C61—42no—
254C23×C61—42no—
255C23×C61—42no—
256C23×C61—42no—
257C23×C61C4×D414yes—
258C23×C61C23×C411yescharacteristic
259C23×C61C22×D411yescharacteristic
260C23×C61C22×D412yes—
261C23×C61C2×#4111yescharacteristic
262C23×C61C2×#4112yes—
263C23×C61H(5,𝔽2)11yescharacteristic
264C23×C61H(5,𝔽2)12yes—
265C23×C61H(5,𝔽2)11yescharacteristic
266C23×C61H(5,𝔽2)12yes—
267C23×C61H(5,𝔽2)11yescharacteristic
268C23×C612−1+411yescharacteristic
269D4×C61—432no—
270D4×C61—416no—
271C2×C4×C61—24no—
272C2×C4×C61—24no—
273C2×C4×C61—24no—
274C2×C4×C61—24no—
275C2×C4×C61—24no—
276C2×C4×C61—24no—
277C2×C4×C61—24no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—24no—
281C2×C4×C61—41no—
282C2×C4×C61—42no—
283C2×C4×C61—41no—
284C2×C4×C61—42no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61C4×D418yes—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—24no—
291C2×Dic61—24no—
292C2×Dic61—24no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—24no—
296C2×Dic61—24no—
297C2×Dic61—416no—
298C2×Dic61—42no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
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—
317#14521—611nomaximal, Sylow
318C22×C61—24no—
319C22×C61—28no—
320C22×C61—44no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—44no—
325C22×C61—42no—
326C22×C61—44no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61—44no—
330C22×C61—44no—
331C22×C61—44no—
332C22×C61—44no—
333C22×C61—44no—
334C22×C61—44no—
335C22×C61—44no—
336C22×C61—82no—
337C22×C61—82no—
338C22×C61—82no—
339C22×C61—82no—
340C22×C61—82no—
341C22×C61—82no—
342C22×C61—82no—
343C22×C61—82no—
344C22×C61C2×C4×D412yes—
345C22×C61C2×C4×D411yescharacteristic
346C22×C61#51812yes—
347C22×C61#51811yescharacteristic
348C22×C61#52011yescharacteristic
349C22×C61#53411yescharacteristic
350C22×C61#53512yes—
351C22×C61#53711yescharacteristic
352C22×C61#53712yes—
353C22×C61#53811yescharacteristic
354C22×C61#53911yescharacteristic
355C22×C61#54012yes—
356C22×C61#54212yes—
357C22×C61D4212yes—
358C22×C61D4211yescharacteristic
359C22×C61#54612yes—
360C22×C61#54612yes—
361C22×C61#55012yes—
362C22×C61#55112yes—
363C22×C61#55911yescharacteristic
364C22×C61#56012yes—
365C22×C61#56011yescharacteristic
366C22×C61H(3,𝔽4)11yescharacteristic
367C4×C61—28no—
368C4×C61—42no—
369C4×C61—42no—
370Dic61—44no—
371Dic61—44no—
372Dic61—44no—
373Dic61—82no—
374C2×#392D6111yescharacteristic
375C2×#390—612no—
376C2×#388—612no—
377C2×#386—612no—
378#1439—611no—
379#1439—612no—
380#1438—612no—
381#1436—612no—
382C22⋊#95—611no—
383C2×C61—44no—
384C2×C61—84no—
385C2×C61#232412yes—
386C2×C61#232511yescharacteristic
387C2×C61#235812yes—
388C2×C61#236611yescharacteristic
389C2×C61#237511yescharacteristic
390C2×C61#267011yescharacteristic
391C2×C61#267312yes—
392C2×C61#267511yescharacteristic
393C2×C61#270512yes—
394C2×C61#271211yescharacteristic
395C2×C61#275211yescharacteristic
396C23×D4C2×D6112yes—
397C23×D4C2×D6111yescharacteristic
398C24×C4—611no—
399C22×C4⋊C4—612no—
400C22×C4⋊C4—611no—
401C22×C22⋊C4—611no—
402C22×C22⋊C4—612no—
403C22×C22⋊C4—612no—
404C22×C22⋊C4—612no—
405C22×C22⋊C4—612no—
406C22×C22⋊C4—612no—
407C22×C22⋊C4C2×D6112yes—
408C22×C22⋊C4C2×D6111yescharacteristic
409C22×C42—612no—
410#392Dic6118yescomplemented
411#390—1228no—
412#388—1228no—
413#386—1228no—
414C2×#95—612no—
415C2×#95—612no—
416C2×#95—612no—
417C2×#95—612no—
418C2×#95—612no—
419C2×#95—611no—
420C2×#95C2×D6111yescharacteristic
421C61#1452111yescharacteristic, complemented, Sylow
422C25C22×D6112yes—
423C25C22×D6111yescharacteristic
424C22×D4—24no—
425C22×D4—24no—
426C22×D4—24no—
427C22×D4—24no—
428C22×D4—42no—
429C22×D4—42no—
430C22×D4—42no—
431C22×D4—42no—
432C22×D4—41no—
433C22×D4—41no—
434C22×D4C2×Dic6118yes—
435C22×D4C2×Dic6114yescomplemented
436C23×C4—612no—
437C23×C4—612no—
438C23×C4—612no—
439C23×C4—612no—
440C23×C4—1224no—
441C23×C4—1222no—
442C23×C4—2442no—
443C23×C4—2441no—
444C23×C4—2441no—
445C23×C4C22×D6111yescharacteristic
446C23×C4C22×D6111yescharacteristic
447C23×C4C22×D6112yes—
448C2×C4⋊C4—1224no—
449C2×C4⋊C4—1224no—
450C2×C4⋊C4—1224no—
451C2×C4⋊C4—2442no—
452C2×C4⋊C4—2441no—
453C2×C22⋊C4—24no—
454C2×C22⋊C4—24no—
455C2×C22⋊C4—41no—
456C2×C22⋊C4—41no—
457C2×C22⋊C4—614no—
458C2×C22⋊C4—1224no—
459C2×C22⋊C4—1224no—
460C2×C22⋊C4—1224no—
461C2×C22⋊C4—1224no—
462C2×C22⋊C4—1224no—
463C2×C22⋊C4—1224no—
464C2×C22⋊C4—1224no—
465C2×C22⋊C4—1224no—
466C2×C22⋊C4—2441no—
467C2×C22⋊C4—2441no—
468C2×C22⋊C4—2442no—
469C2×C22⋊C4—2442no—
470C2×C22⋊C4—2442no—
471C2×C22⋊C4—2442no—
472C2×C22⋊C4—2442no—
473C2×C22⋊C4—2442no—
474C2×C22⋊C4—2442no—
475C2×C22⋊C4C2×Dic6114yes—
476C2×C22⋊C4C2×Dic6118yescomplemented
477C2×C42—1224no—
478C2×C42—1224no—
479C2×C42—2442no—
480#95—618no—
481#95—1224no—
482#95—1224no—
483#95—2441no—
484#95—2442no—
485#95—2442no—
486#95C2×Dic6114yescomplemented
487C24—22no—
488C24—22no—
489C24—21no—
490C24—21no—
491C24—22no—
492C24—22no—
493C24—21no—
494C24—21no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—22no—
503C24—22no—
504C24—22no—
505C24—22no—
506C24—22no—
507C24—22no—
508C24—22no—
509C24D4×D6112yes—
510C24#1175822412yes—
511C24C22×Dic6114yes—
512C24C22×Dic6112yes—
513C24C23×D6111yescharacteristic
514C2×D4—216no—
515C2×D4—216no—
516C2×D4—48no—
517C2×D4—44no—
518C2×D4—48no—
519C2×D4—48no—
520C2×D4—48no—
521C2×D4—48no—
522C2×D4—48no—
523C2×D4—44no—
524C2×D4—48no—
525C2×D4—44no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—614no—
539C22×C4—614no—
540C22×C4—614no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—2444no—
567C22×C4—2448no—
568C22×C4—2448no—
569C22×C4—2444no—
570C22×C4—2444no—
571C22×C4D4×D6114yes—
572C22×C4#1175822414yes—
573C22×C4C22×Dic6112yes—
574C22×C4C22×Dic6112yes—
575C22×C4C22×Dic6114yes—
576C4⋊C4—2448no—
577C4⋊C4—2444no—
578C22⋊C4—216no—
579C22⋊C4—44no—
580C22⋊C4—2444no—
581C22⋊C4—2448no—
582C22⋊C4—2448no—
583C22⋊C4—2448no—
584C22⋊C4—2448no—
585C22⋊C4—2448no—
586C42—2448no—
587C23—24no—
588C23—22no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—41no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23D4×Dic6114yes—
645C23C23×Dic6111yescharacteristic
646C23C2×D4×D6111yescharacteristic
647C23C2×D4×D6112yes—
648C23C2×#1175822412yes—
649C23C2×#1175822411yescharacteristic
650C23#1451982211yescharacteristic
651C23#1451982211yescharacteristic
652C23#1451982212yes—
653C23#1451982212yes—
654C23#1451982311yescharacteristic
655C23#1451982411yescharacteristic
656D4—432no—
657D4—416no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—1224no—
675C2×C4—1224no—
676C2×C4—1224no—
677C2×C4—1224no—
678C2×C4—1224no—
679C2×C4—1224no—
680C2×C4—1224no—
681C2×C4—1224no—
682C2×C4—1224no—
683C2×C4—2442no—
684C2×C4—2442no—
685C2×C4—2442no—
686C2×C4—2442no—
687C2×C4—2442no—
688C2×C4—2442no—
689C2×C4—2442no—
690C2×C4—24416no—
691C2×C4—2442no—
692C2×C4—2442no—
693C2×C4—2442no—
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×C4D4×Dic6118yes—
704C22—24no—
705C22—28no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—44no—
711C22—44no—
712C22—42no—
713C22—42no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—82no—
727C22—82no—
728C22—82no—
729C22—82no—
730C22C2×D4×Dic6112yes—
731C22C2×D4×Dic6111yescharacteristic
732C22#1684023712yes—
733C22#1684023711yescharacteristic
734C22#1684024511yescharacteristic
735C22#1684032011yescharacteristic
736C22#1684032812yes—
737C22#1684033911yescharacteristic
738C22#1684034112yes—
739C22#1684034911yescharacteristic
740C22#1684035711yescharacteristic
741C22#1684036512yes—
742C22#1684037912yes—
743C22#1684039412yes—
744C22#1684039711yescharacteristic
745C22#1684039912yes—
746C22#1684039912yes—
747C22#1684043212yes—
748C22#1684044312yes—
749C22#1684049811yescharacteristic
750C22#1684050111yescharacteristic
751C22#1684050112yes—
752C22#1684050511yescharacteristic
753C4—28no—
754C4—42no—
755C4—42no—
756C4—4882no—
757C4—2444no—
758C4—2444no—
759C4—2444no—
760C2—44no—
761C2—84no—
762C2#2144851412yes—
763C2#2144852411yescharacteristic
764C2#2144880312yes—
765C2#2144888411yescharacteristic
766C2#2144896011yescharacteristic
767C2#2145204611yescharacteristic
768C2#2145208412yes—
769C2#2145211111yescharacteristic
770C2#2145249912yes—
771C2#2145258411yescharacteristic
772C2#2145308711yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
Fitting, prime radicalC2×C61×#392C2
socle, cosocleC24×C61C24
hypercenterC2×#392D61
hypocenterC61#14521
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#392

Complements

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

NH ≅ G/Ntype
1. C2×#16839665C2semidirect
2. C2×#16839655C2semidirect
3. C2×#16839642C2semidirect
4. #21444064C2semidirect
5. #21444064C2semidirect
6. #21444060C2semidirect
7. #21444053C2semidirect
8. #21444041C2semidirect
33. C61×#392C4semidirect
66. C2×C22⋊Dic61D4semidirect
75. #14519684D4semidirect
89. C22×D4×C61C2×C4semidirect
98. C2×C22⋊C4×C61C2×C4semidirect
99. #95×C61C2×C4semidirect
410. #392Dic61semidirect
421. C61#14521semidirect
435. C22×D4C2×Dic61semidirect
476. C2×C22⋊C4C2×Dic61semidirect
486. #95C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
C2×#168396652
C2×#168396552
C2×#168396422
#214440642
#214440602
#214440532
#214440412
C2×C61×#3922
#1452161