Finite Group Databasebeta

← #29608163

Subgroups — #29608163

Order 15616.

2386 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519751C211yesmaximal, characteristic
2C2×#16839662C212yesmaximal, complemented
3C2×#16839645C212yesmaximal, complemented
4#21444063C212yesmaximal, complemented
5#21444059C212yesmaximal, complemented
6#21444058C212yesmaximal, complemented
7#21444055C212yesmaximal, complemented
8#21444042C211yesmaximal, characteristic, complemented
9C61×C22⋊#95C211yesmaximal, characteristic, complemented
10C23×D244C2211yescharacteristic
11C23×C22⋊D61C2212yes—
12C2×#14519751—28no—
13C2×#14519751C418yescomplemented
14C22×C4⋊Dic61C2211yescharacteristic
15C22×#11758196C2212yes—
16C22×C22⋊Dic61C2211yescharacteristic
17C22×C22⋊Dic61C2211yescharacteristic
18C22×#11758198C2212yes—
19C22×#11758198C2212yes—
20C22×#11758198C2212yes—
21C22×#11758198C2212yes—
22C22×#11758198C2212yes—
23C22×C4×Dic61C2212yes—
24#16839662—28no—
25#16839645—28no—
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2212yes—
30C24×C4×C61C2211yescharacteristic
31C22×C22⋊C4×C61C2212yes—
32C2×#95×C61C2212yes—
33C2×#95×C61C2211yescharacteristic
34C2×#95×C61C2211yescharacteristic
35C24×D61C2312yes—
36C22×D244—24no—
37C22×D244—41no—
38C22×D244—41no—
39C22×D244—42no—
40C22×D244C2×C414yes—
41C22×C22⋊D61—24no—
42C22×C22⋊D61—24no—
43C22×C22⋊D61—24no—
44C22×C22⋊D61—24no—
45C22×C22⋊D61—42no—
46C22×C22⋊D61—42no—
47C22×C22⋊D61C2×C418yes—
48C23×Dic61C2312yes—
49C23×Dic61C2312yes—
50C23×Dic61C2312yes—
51#14519751—232no—
52C2×C4⋊Dic61C2×C414yes—
53C2×C4⋊Dic61D418yes—
54C2×#11758196—24no—
55C2×#11758196—24no—
56C2×#11758196—42no—
57C2×C22⋊Dic61—22no—
58C2×C22⋊Dic61—41no—
59C2×C22⋊Dic61—41no—
60C2×C22⋊Dic61—41no—
61C2×C22⋊Dic61—41no—
62C2×C22⋊Dic61D414yescomplemented
63C2×#11758198—24no—
64C2×#11758198—24no—
65C2×#11758198—24no—
66C2×#11758198—24no—
67C2×#11758198—24no—
68C2×#11758198—24no—
69C2×#11758198—42no—
70C2×#11758198—42no—
71C2×#11758198—42no—
72C2×#11758198—42no—
73C2×#11758198—42no—
74C2×#11758198—42no—
75C2×#11758198—42no—
76C2×#11758198—42no—
77C2×#11758198C2×C418yes—
78C2×C4×Dic61—24no—
79C2×C4×Dic61—24no—
80C2×C4×Dic61—42no—
81#14519684—24no—
82#14519684—24no—
83#14519684—24no—
84#14519684—42no—
85C25×C61C2311yescharacteristic
86C23×C4×C61—24no—
87C23×C4×C61—41no—
88C23×C4×C61—41no—
89C23×C4×C61—42no—
90C23×C4×C61C2×C414yes—
91C23×C4×C61C2312yes—
92C23×C4×C61C2311yescharacteristic
93C23×C4×C61C2312yes—
94C23×C4×C61C2311yescharacteristic
95C2×C22⋊C4×C61—24no—
96C2×C22⋊C4×C61—24no—
97C2×C22⋊C4×C61—42no—
98#95×C61—24no—
99#95×C61—41no—
100#95×C61—41no—
101C24×C61—22no—
102C24×C61—22no—
103C24×C61—22no—
104C24×C61—22no—
105C24×C61—21no—
106C24×C61—21no—
107C24×C61—21no—
108C24×C61—21no—
109C24×C61C22×C412yes—
110C24×C61C2×D412yes—
111C24×C61#4112yes—
112C24×C61C2411yescharacteristic
113C23×D61—22no—
114C23×D61—22no—
115C23×D61—22no—
116C23×D61—22no—
117C23×D61—22no—
118C23×D61—22no—
119C23×D61—22no—
120C23×D61—22no—
121C23×D61—22no—
122C23×D61—22no—
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—22no—
127C23×D61C22×C414yes—
128C22×C4×C61—21no—
129C22×C4×C61—21no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—28no—
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—44no—
150C22×C4×C61—44no—
151C22×C4×C61—48no—
152C22×C4×C61—48no—
153C22×C4×C61C22×C412yes—
154C22×C4×C61C22×C412yes—
155C22×C4×C61C2×D414yes—
156C22×C4×C61#4114yes—
157C2×C22⋊D61—216no—
158C2×C22⋊D61—216no—
159C2×C22⋊D61—48no—
160C2×C22⋊D61—48no—
161C2×C22⋊D61—48no—
162C2×C22⋊D61—48no—
163C2×C22⋊D61—48no—
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×Dic61C22×C414yes—
182C22×Dic61C2×D414yes—
183C22×Dic61C2×D414yes—
184C22×Dic61C2×D414yes—
185C2×D244—28no—
186C2×D244—44no—
187C2×D244—44no—
188C2×D244—48no—
189C2×D244—48no—
190C22⋊C4×C61—48no—
191C22⋊Dic61—44no—
192C22⋊Dic61—44no—
193#11758198—216no—
194#11758198—48no—
195#11758198—48no—
196#11758198—48no—
197#11758198—48no—
198C4⋊Dic61C22⋊C4116yescomplemented
199#11758196—48no—
200C4×Dic61—48no—
201C23×C61—22no—
202C23×C61—22no—
203C23×C61—22no—
204C23×C61—22no—
205C23×C61—22no—
206C23×C61—22no—
207C23×C61—22no—
208C23×C61—22no—
209C23×C61—22no—
210C23×C61—22no—
211C23×C61—24no—
212C23×C61—24no—
213C23×C61—24no—
214C23×C61—24no—
215C23×C61—42no—
216C23×C61—42no—
217C23×C61—42no—
218C23×C61—42no—
219C23×C61—42no—
220C23×C61—42no—
221C23×C61—42no—
222C23×C61—42no—
223C23×C61C4×D414yes—
224C23×C61C23×C411yescharacteristic
225C23×C61C22×D412yes—
226C23×C61C22×D411yescharacteristic
227C23×C61C2×#4111yescharacteristic
228C23×C61C2×#4112yes—
229C23×C61H(5,𝔽2)11yescharacteristic
230C23×C61H(5,𝔽2)11yescharacteristic
231C23×C61H(5,𝔽2)12yes—
232C23×C61H(5,𝔽2)12yes—
233C23×C61H(5,𝔽2)11yescharacteristic
234C23×C612−1+411yescharacteristic
235C22×D61—24no—
236C22×D61—24no—
237C22×D61—24no—
238C22×D61—24no—
239C22×D61—24no—
240C22×D61—24no—
241C22×D61—24no—
242C22×D61—42no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—42no—
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×D61—42no—
263C22×D61—42no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61—42no—
267C22×D61—42no—
268C22×D61—42no—
269C22×D61—42no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—24no—
273C2×C4×C61—24no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—24no—
278C2×C4×C61—24no—
279C2×C4×C61—24no—
280C2×C4×C61—416no—
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×C61—42no—
294C2×C4×C61C2×C22⋊C414yes—
295C22⋊D61—432no—
296C2×Dic61—24no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—24no—
302C2×Dic61—24no—
303C2×Dic61—24no—
304C2×Dic61—24no—
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×Dic61C2×C22⋊C418yes—
317D244—416no—
318#14418—611nomaximal, Sylow
319C22×C61—24no—
320C22×C61—24no—
321C22×C61—24no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—44no—
327C22×C61—44no—
328C22×C61—44no—
329C22×C61—44no—
330C22×C61C22×C22⋊C411yescharacteristic
331C22×C61C2×C4×D411yescharacteristic
332C22×C61C4×#4111yescharacteristic
333C22×C61#51811yescharacteristic
334C22×C61#51811yescharacteristic
335C22×C61#51811yescharacteristic
336C22×C61#52011yescharacteristic
337C22×C61#53411yescharacteristic
338C22×C61#53512yes—
339C22×C61#53512yes—
340C22×C61#53711yescharacteristic
341C22×C61#53812yes—
342C22×C61#53811yescharacteristic
343C22×C61#53911yescharacteristic
344C22×C61#54012yes—
345C22×C61D4212yes—
346C22×C61#54612yes—
347C22×C61#54612yes—
348C22×C61#54812yes—
349C22×C61#55012yes—
350C22×C61#55312yes—
351C22×C61#56012yes—
352C22×C61#56212yes—
353C2×D61—44no—
354C2×D61—44no—
355C2×D61—44no—
356C2×D61—44no—
357C2×D61—44no—
358C2×D61—44no—
359C2×D61—44no—
360C2×D61—82no—
361C2×D61—82no—
362C2×D61—82no—
363C2×D61—82no—
364C2×D61—82no—
365C2×D61—82no—
366C2×D61—82no—
367C2×D61—82no—
368C4×C61—24no—
369C4×C61—42no—
370C4×C61—44no—
371C4×C61—82no—
372Dic61—28no—
373Dic61—44no—
374Dic61—82no—
375C22×#121—611no—
376C2×#390—612no—
377C2×#387—612no—
378#1439—612no—
379#1438—612no—
380#1438—612no—
381#1437—612no—
382C22⋊#95—611no—
383C22⋊#95D6111yescharacteristic, complemented
384C2×C61—44no—
385C2×C61#230911yescharacteristic
386C2×C61#232511yescharacteristic
387C2×C61#233311yescharacteristic
388C2×C61D4×C22⋊C411yescharacteristic
389C2×C61#234111yescharacteristic
390C2×C61#236411yescharacteristic
391C2×C61#237711yescharacteristic
392C2×C61#267312yes—
393C2×C61#267612yes—
394C2×C61#271112yes—
395C2×C61#271412yes—
396D61—84no—
397C23×D4—612no—
398C23×D4—611no—
399C24×C4C2×D6111yescharacteristic
400C2×#121—618no—
401C2×#121—1228no—
402C22×C4⋊C4—611no—
403C22×C4⋊C4—612no—
404C22×C22⋊C4—612no—
405C22×C22⋊C4—611no—
406C22×C22⋊C4—612no—
407C22×C22⋊C4—611no—
408C22×C22⋊C4—612no—
409C22×C22⋊C4—612no—
410C22×C22⋊C4—612no—
411C22×C22⋊C4C2×D6112yes—
412C22×C42—612no—
413#390—1228no—
414#387—1228no—
415C2×#95—612no—
416C2×#95—612no—
417C2×#95—612no—
418C2×#95—612no—
419C2×#95C2×D6112yes—
420C2×#95C2×D6111yescharacteristic
421C2×#95C2×D6111yescharacteristic
422C61#1441811yescharacteristic, complemented, Sylow
423C25—612no—
424C25C22×D6111yescharacteristic
425C22×D4—618no—
426C22×D4—614no—
427C22×D4—1224no—
428C22×D4—1224no—
429C22×D4—1224no—
430C22×D4—1224no—
431C22×D4—1224no—
432C22×D4—2442no—
433C22×D4—2441no—
434C22×D4—2441no—
435C22×D4—2442no—
436C22×D4—2442no—
437C23×C4—24no—
438C23×C4—41no—
439C23×C4—41no—
440C23×C4—42no—
441C23×C4—612no—
442C23×C4—612no—
443C23×C4—612no—
444C23×C4C4×D6114yes—
445C23×C4C22×D6112yes—
446C23×C4C22×D6111yescharacteristic
447C23×C4C22×D6112yes—
448C23×C4C22×D6111yescharacteristic
449#121—12232no—
450C2×C4⋊C4—614no—
451C2×C4⋊C4—618no—
452C2×C4⋊C4—1224no—
453C2×C4⋊C4—1224no—
454C2×C4⋊C4—2442no—
455C2×C22⋊C4—24no—
456C2×C22⋊C4—24no—
457C2×C22⋊C4—42no—
458C2×C22⋊C4—618no—
459C2×C22⋊C4—614no—
460C2×C22⋊C4—1224no—
461C2×C22⋊C4—1224no—
462C2×C22⋊C4—1224no—
463C2×C22⋊C4—1224no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1224no—
466C2×C22⋊C4—1224no—
467C2×C22⋊C4—2442no—
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⋊C4—2441no—
476C2×C22⋊C4—2441no—
477C2×C22⋊C4—2441no—
478C2×C22⋊C4—2441no—
479C2×C42—1224no—
480C2×C42—1224no—
481C2×C42—2442no—
482#95—24no—
483#95—41no—
484#95—41no—
485#95—1224no—
486#95—1224no—
487#95—1224no—
488#95—2442no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—21no—
493C24—21no—
494C24—21no—
495C24—22no—
496C24—21no—
497C24—614no—
498C24—1222no—
499C24—1222no—
500C24—1222no—
501C24—1222no—
502C24—1222no—
503C24—1222no—
504C24—1222no—
505C24—1222no—
506C24—1222no—
507C24—1222no—
508C24—1222no—
509C24—1222no—
510C24—1222no—
511C24—1222no—
512C24C2×C4×D6112yes—
513C24D4×D6112yes—
514C24#1175822612yes—
515C24C23×D6111yescharacteristic
516C2×D4—12216no—
517C2×D4—12216no—
518C2×D4—1228no—
519C2×D4—2444no—
520C2×D4—2444no—
521C2×D4—2448no—
522C2×D4—2448no—
523C2×D4—2448no—
524C2×D4—2448no—
525C2×D4—2448no—
526C2×D4—2448no—
527C2×D4—2448no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—28no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—48no—
552C22×C4—48no—
553C22×C4—614no—
554C22×C4—614no—
555C22×C4—614no—
556C22×C4—614no—
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—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—1222no—
573C22×C4—1222no—
574C22×C4C2×C4×D6112yes—
575C22×C4C2×C4×D6112yes—
576C22×C4#1175822214yes—
577C22×C4D4×D6114yes—
578C4⋊C4—6116no—
579C4⋊C4—2448no—
580C22⋊C4—48no—
581C22⋊C4—12216no—
582C22⋊C4—2448no—
583C22⋊C4—2448no—
584C22⋊C4—2448no—
585C22⋊C4—2448no—
586C22⋊C4—2444no—
587C22⋊C4—2444no—
588C42—2448no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—1224no—
612C23—1224no—
613C23—1224no—
614C23—1224no—
615C23—1224no—
616C23—1224no—
617C23—1224no—
618C23—2442no—
619C23—2442no—
620C23—2442no—
621C23—2442no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23—2442no—
629C23—2442no—
630C23—2442no—
631C23—2442no—
632C23—2442no—
633C23—2442no—
634C23—2442no—
635C23—2442no—
636C23—2442no—
637C23—2442no—
638C23—2442no—
639C23—2442no—
640C23—2442no—
641C23—2442no—
642C23—2442no—
643C23—2442no—
644C23—2442no—
645C23—2442no—
646C23#1451973914yes—
647C23C22×C4×D6111yescharacteristic
648C23C2×D4×D6112yes—
649C23C2×D4×D6111yescharacteristic
650C23C2×#1175822212yes—
651C23C2×#1175822611yescharacteristic
652C23#1451982212yes—
653C23#1451982211yescharacteristic
654C23#1451982211yescharacteristic
655C23#1451982312yes—
656C23#1451982311yescharacteristic
657C23#1451982411yescharacteristic
658D4—24416no—
659D4—24432no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—416no—
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—618no—
685C2×C4—1224no—
686C2×C4—1224no—
687C2×C4—1224no—
688C2×C4—1224no—
689C2×C4—1224no—
690C2×C4—1224no—
691C2×C4—1224no—
692C2×C4—1224no—
693C2×C4—1224no—
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×C4C22⋊C4×D6114yes—
706C22—24no—
707C22—24no—
708C22—24no—
709C22—42no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—4882no—
718C22—4882no—
719C22—4882no—
720C22—4882no—
721C22—4882no—
722C22—4882no—
723C22—4882no—
724C22—4882no—
725C22—2444no—
726C22—2444no—
727C22—2444no—
728C22—2444no—
729C22—2444no—
730C22—2444no—
731C22—2444no—
732C22C2×C22⋊C4×D6111yescharacteristic
733C22C2×#1451973911yescharacteristic
734C22C4×#1175822211yescharacteristic
735C22#1684023511yescharacteristic
736C22#1684023511yescharacteristic
737C22#1684023611yescharacteristic
738C22#1684024211yescharacteristic
739C22#1684032011yescharacteristic
740C22#1684032712yes—
741C22#1684032712yes—
742C22#1684033911yescharacteristic
743C22#1684034512yes—
744C22#1684035211yescharacteristic
745C22#1684036111yescharacteristic
746C22#1684036312yes—
747C22#1684039612yes—
748C22#1684040212yes—
749C22#1684040312yes—
750C22#1684042112yes—
751C22#1684043312yes—
752C22#1684046012yes—
753C22#1684050212yes—
754C22#1684050912yes—
755C4—24no—
756C4—44no—
757C4—42no—
758C4—82no—
759C4—1228no—
760C4—4882no—
761C4—2444no—
762C2—44no—
763C2—4884no—
764C2#2144840011yescharacteristic
765C2#2144851911yescharacteristic
766C2#2144858411yescharacteristic
767C2#2144863911yescharacteristic
768C2#2144865911yescharacteristic
769C2#2144886611yescharacteristic
770C2#2144897811yescharacteristic
771C2#2145208212yes—
772C2#2145212112yes—
773C2#2145257712yes—
774C2#2145261612yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C22⋊#95C2
socle, cosocleC24×C61C24
prime radicalC22×#14519751C2
hypercenterC22⋊#95D61
hypocenterC61#14418
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#16839662C2semidirect
3. C2×#16839645C2semidirect
4. #21444063C2semidirect
5. #21444059C2semidirect
6. #21444058C2semidirect
7. #21444055C2semidirect
8. #21444042C2semidirect
9. C61×C22⋊#95C2semidirect
13. C2×#14519751C4semidirect
62. C2×C22⋊Dic61D4semidirect
198. C4⋊Dic61C22⋊C4semidirect
383. C22⋊#95D61semidirect
422. C61#14418semidirect

Maximal subgroups

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

subgroupindex
C22×#145197512
C2×#168396622
C2×#168396452
#214440632
#214440592
#214440582
#214440552
#214440422
C61×C22⋊#952
#1441861