Finite Group Databasebeta

← #29601690

Subgroups — #29601690

Order 15616.

2702 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
1C22×#14519737C211yesmaximal, characteristic
2C22×#14519733C211yesmaximal, characteristic, complemented
3C2×C22⋊C4×Dic61C211yesmaximal, characteristic, complemented
4C2×#16839609C212yesmaximal, complemented
5#21444070C212yesmaximal, complemented
6#21444068C211yesmaximal, characteristic, complemented
7#21444063C212yesmaximal, complemented
8#21444058C211yesmaximal, characteristic
9#21444058C211yesmaximal, characteristic
10#95×Dic61C212yesmaximal, complemented
11C61×#1440C211yesmaximal, characteristic, complemented
12C23×C22⋊D61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C23×C4×D61C2211yescharacteristic
15C2×#14519737—24no—
16C2×#14519737—24no—
17C2×#14519737C418yescomplemented
18C2×#14519733—28no—
19C2×#14519733—24no—
20C22×#11758196C2212yes—
21C22×#11758196C2211yescharacteristic
22C22×C22⋊Dic61C2211yescharacteristic
23C22×C22⋊Dic61C2211yescharacteristic
24C22×#11758198C2212yes—
25C22×#11758198C2212yes—
26C22×#11758198C2211yescharacteristic
27C22×C4×Dic61C2212yes—
28C22×C4×Dic61C2211yescharacteristic
29C22×C4×Dic61C2212yes—
30C22⋊C4×Dic61—24no—
31#16839609—28no—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C2×#14519684C2212yes—
36C2×#14519684C2212yes—
37C22×C22⋊C4×C61C2211yescharacteristic
38C22×C22⋊C4×C61C2211yescharacteristic
39C22×C22⋊C4×C61C2211yescharacteristic
40C2×#95×C61C2212yes—
41C2×#95×C61C2212yes—
42C24×D61C2311yescharacteristic
43C22×C22⋊D61—22no—
44C22×C22⋊D61—22no—
45C22×C22⋊D61—24no—
46C22×C22⋊D61—24no—
47C22×C22⋊D61C2×C414yes—
48C23×Dic61—24no—
49C23×Dic61—24no—
50C23×Dic61C2×C414yes—
51C23×Dic61D414yes—
52C23×Dic61D414yes—
53C23×Dic61C2312yes—
54C23×Dic61C2312yes—
55C23×Dic61C2311yescharacteristic
56C23×Dic61C2311yescharacteristic
57C23×Dic61C2311yescharacteristic
58C22×C4×D61—22no—
59C22×C4×D61—22no—
60C22×C4×D61—24no—
61C22×C4×D61—24no—
62C22×C4×D61C2×C414yes—
63#14519737—232no—
64#14519733—232no—
65C2×#11758196—24no—
66C2×#11758196—24no—
67C2×#11758196—24no—
68C2×#11758196—22no—
69C2×#11758196—22no—
70C2×#11758196C2×C414yes—
71C2×C22⋊Dic61—22no—
72C2×C22⋊Dic61—22no—
73C2×C22⋊Dic61—24no—
74C2×C22⋊Dic61—24no—
75C2×#11758198—24no—
76C2×#11758198—24no—
77C2×#11758198—24no—
78C2×#11758198—24no—
79C2×#11758198—22no—
80C2×#11758198—22no—
81C2×#11758198—24no—
82C2×#11758198—24no—
83C2×#11758198C2×C414yes—
84C2×C4×Dic61—24no—
85C2×C4×Dic61—24no—
86C2×C4×Dic61—22no—
87C2×C4×Dic61—22no—
88C2×C4×Dic61—24no—
89C2×C4×Dic61—24no—
90C2×C4×Dic61—24no—
91C2×C4×Dic61C2×C414yes—
92C2×C4×Dic61D418yescomplemented
93#14519684—24no—
94#14519684—24no—
95#14519684—24no—
96#14519684—24no—
97#14519684—24no—
98C25×C61C2311yescharacteristic
99C23×C4×C61C2311yescharacteristic
100C23×C4×C61C2311yescharacteristic
101C23×C4×C61C2312yes—
102C23×C4×C61C2312yes—
103C2×C22⋊C4×C61—22no—
104C2×C22⋊C4×C61—22no—
105C2×C22⋊C4×C61—22no—
106C2×C22⋊C4×C61—22no—
107C2×C22⋊C4×C61—24no—
108C2×C22⋊C4×C61—24no—
109C2×C22⋊C4×C61C2×C414yes—
110#95×C61—24no—
111#95×C61—24no—
112C24×C61—22no—
113C24×C61—22no—
114C24×C61—22no—
115C24×C61—22no—
116C24×C61—22no—
117C24×C61—22no—
118C24×C61C22×C412yes—
119C24×C61C2×D412yes—
120C24×C61C2×D412yes—
121C24×C61C2411yescharacteristic
122C23×D61—21no—
123C23×D61—21no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—22no—
127C23×D61—22no—
128C23×D61—22no—
129C23×D61C22×C412yes—
130C23×D61#4114yes—
131C22×C4×C61—22no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—22no—
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—22no—
146C22×C4×C61—22no—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C22×C412yes—
153C22×C4×C61C2×D414yes—
154C22×C4×C61#4114yes—
155C2×C22⋊D61—216no—
156C2×C22⋊D61—216no—
157C2×C22⋊D61—28no—
158C2×C22⋊D61—28no—
159C2×C22⋊D61—28no—
160C22×Dic61—22no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—216no—
166C22×Dic61—28no—
167C22×Dic61—216no—
168C22×Dic61—28no—
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⋊C4116yescomplemented
182C22×Dic61C22×C412yes—
183C22×Dic61C22×C412yes—
184C22×Dic61C22×C412yes—
185C22×Dic61C2×D414yes—
186C22×Dic61C2×D412yes—
187C22×Dic61C2×D412yes—
188C22×Dic61C2×D412yes—
189C22×Dic61C2×D412yes—
190C22×Dic61C2×D414yes—
191C22×Dic61#4114yes—
192C22×Dic61#4114yes—
193C22×Dic61#4114yes—
194C2×C4×D61—28no—
195C2×C4×D61—216no—
196C2×C4×D61—44no—
197C2×C4×D61—48no—
198C2×C4×D61—44no—
199C22⋊C4×C61—28no—
200C22⋊C4×C61—28no—
201C22⋊C4×C61—28no—
202C22⋊Dic61—28no—
203C22⋊Dic61—28no—
204#11758198—216no—
205#11758198—216no—
206#11758198—28no—
207#11758196—216no—
208#11758196—28no—
209C4×Dic61—28no—
210C4×Dic61—216no—
211C4×Dic61—48no—
212C23×C61—22no—
213C23×C61—22no—
214C23×C61—24no—
215C23×C61—24no—
216C23×C61—22no—
217C23×C61—24no—
218C23×C61—22no—
219C23×C61—22no—
220C23×C61—22no—
221C23×C61—24no—
222C23×C61—24no—
223C23×C61—24no—
224C23×C61—42no—
225C23×C61—42no—
226C23×C61—42no—
227C23×C61—42no—
228C23×C61—42no—
229C23×C61—42no—
230C23×C61—42no—
231C23×C61—42no—
232C23×C61C2×C22⋊C414yes—
233C23×C61C23×C411yescharacteristic
234C23×C61C22×D411yescharacteristic
235C23×C61C22×D411yescharacteristic
236C23×C61C22×D412yes—
237C23×C61C2×#4112yes—
238C23×C61C2×#4112yes—
239C23×C61C2×#4112yes—
240C23×C61C2×#4112yes—
241C23×C61C2×#4112yes—
242C22×D61—22no—
243C22×D61—22no—
244C22×D61—24no—
245C22×D61—24no—
246C22×D61—24no—
247C22×D61—24no—
248C22×D61—24no—
249C22×D61—24no—
250C22×D61—24no—
251C22×D61—24no—
252C22×D61—41no—
253C22×D61—42no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—42no—
260C22×D61—42no—
261C22×D61—42no—
262C22×D61#11714yescomplemented
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—24no—
272C2×C4×C61—24no—
273C2×C4×C61—41no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—41no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C2×C4×C61—42no—
287C22⋊D61—232no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—24no—
291C2×Dic61—22no—
292C2×Dic61—24no—
293C2×Dic61—22no—
294C2×Dic61—24no—
295C2×Dic61—24no—
296C2×Dic61—232no—
297C2×Dic61—24no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—24no—
302C2×Dic61—24no—
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×Dic61C2×C22⋊C414yes—
312C2×Dic61C2×C22⋊C414yes—
313C2×Dic61#11714yescomplemented
314C2×Dic61C4×D418yes—
315C2×Dic61#12014yes—
316C2×Dic61#12118yes—
317C2×Dic61#12314yes—
318C4×D61—416no—
319#13839—611nomaximal, Sylow
320C22×C61—24no—
321C22×C61—24no—
322C22×C61—24no—
323C22×C61—44no—
324C22×C61—44no—
325C22×C61—44no—
326C22×C61—44no—
327C22×C61—44no—
328C22×C61—44no—
329C22×C61C22×C22⋊C411yescharacteristic
330C22×C61C2×#11711yescharacteristic
331C22×C61C2×#11711yescharacteristic
332C22×C61C2×C4×D412yes—
333C22×C61C4×#4112yes—
334C22×C61C2×#12011yescharacteristic
335C22×C61C2×#12112yes—
336C22×C61C2×#12311yescharacteristic
337C22×C61#52511yescharacteristic
338C22×C61#52512yes—
339C22×C61#52512yes—
340C22×C61#52512yes—
341C22×C61#52511yescharacteristic
342C22×C61#52512yes—
343C22×C61#52912yes—
344C22×C61#52912yes—
345C22×C61#52912yes—
346C22×C61#52912yes—
347C22×C61#53212yes—
348C22×C61#53212yes—
349C22×C61#53212yes—
350C2×D61—24no—
351C2×D61—28no—
352C2×D61—44no—
353C2×D61—44no—
354C2×D61—44no—
355C2×D61—44no—
356C2×D61—42no—
357C2×D61—44no—
358C2×D61—42no—
359C4×C61—44no—
360C4×C61—44no—
361C4×C61—42no—
362C4×C61—42no—
363Dic61—24no—
364Dic61—24no—
365Dic61—44no—
366Dic61—44no—
367Dic61#38618yes—
368C22×C4×D4—611no—
369C22×#117—611no—
370C2×C4×C22⋊C4—612no—
371C2×C4×C22⋊C4—611no—
372#1441—612no—
373#1440—611no—
374#1440D6111yescharacteristic, complemented
375#1439—612no—
376#1438—611no—
377#1438—611no—
378C4×#95—612no—
379C2×C61—44no—
380C2×C61#228011yescharacteristic
381C2×C61C2×#38611yescharacteristic
382C2×C61#229012yes—
383C2×C61#229312yes—
384C2×C61#229711yescharacteristic
385C2×C61#238812yes—
386C2×C61#239212yes—
387C2×C61#239212yes—
388C2×C61#239512yes—
389D61—44no—
390C23×D4—611no—
391C24×C4—611no—
392C24×C4—611no—
393C2×C4×D4—618no—
394C2×C4×D4—1224no—
395C2×C4×D4—1224no—
396C2×#117—1228no—
397C2×#117—1224no—
398C22×C4⋊C4—611no—
399C22×C4⋊C4—612no—
400C22×C22⋊C4—611no—
401C22×C22⋊C4—611no—
402C22×C22⋊C4—611no—
403C22×C22⋊C4—612no—
404C22×C22⋊C4—612no—
405C22×C22⋊C4C2×D6111yescharacteristic
406C22×C22⋊C4C2×D6111yescharacteristic
407C22×C22⋊C4C2×D6111yescharacteristic
408C22×C42—612no—
409C22×C42—611no—
410C22×C42—612no—
411C4×C22⋊C4—1228no—
412C4×C22⋊C4—1224no—
413C2×#95—612no—
414C2×#95—612no—
415C2×#95—612no—
416C2×#95—612no—
417C2×#95—612no—
418C2×#95C2×D6112yes—
419C2×#95C2×D6112yes—
420C61#1383911yescharacteristic, complemented, Sylow
421C25—611no—
422C25C22×D6111yescharacteristic
423C22×D4—614no—
424C22×D4—1224no—
425C22×D4—1224no—
426C22×D4—1222no—
427C22×D4—1222no—
428C23×C4—611no—
429C23×C4—614no—
430C23×C4—614no—
431C23×C4—614no—
432C23×C4—611no—
433C23×C4—611no—
434C23×C4—612no—
435C23×C4—612no—
436C23×C4—614no—
437C23×C4—1222no—
438C23×C4—1222no—
439C23×C4—1224no—
440C23×C4—1224no—
441C23×C4—1224no—
442C23×C4—1224no—
443C23×C4C22×D6111yescharacteristic
444C23×C4C22×D6111yescharacteristic
445C23×C4C22×D6112yes—
446C23×C4C22×D6112yes—
447C4×D4—12232no—
448#117—12232no—
449C2×C4⋊C4—614no—
450C2×C4⋊C4—1224no—
451C2×C4⋊C4—1224no—
452C2×C4⋊C4—1222no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1224no—
455C2×C22⋊C4—22no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4—22no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4—24no—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—614no—
462C2×C22⋊C4—1222no—
463C2×C22⋊C4—1222no—
464C2×C22⋊C4—1224no—
465C2×C22⋊C4—1224no—
466C2×C22⋊C4—1224no—
467C2×C22⋊C4—1224no—
468C2×C22⋊C4—1224no—
469C2×C22⋊C4—1224no—
470C2×C22⋊C4—1222no—
471C2×C22⋊C4—1222no—
472C2×C22⋊C4—1224no—
473C2×C22⋊C4—1224no—
474C2×C22⋊C4C4×D6114yes—
475C2×C42—614no—
476C2×C42—618no—
477C2×C42—1224no—
478C2×C42—1224no—
479C2×C42—1222no—
480C2×C42—1222no—
481C2×C42—1224no—
482C2×C42—1224no—
483C2×C42—1224no—
484#95—24no—
485#95—24no—
486#95—1224no—
487#95—1224no—
488#95—1224no—
489#95—1224no—
490#95—1224no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—612no—
498C24—614no—
499C24—1222no—
500C24—1221no—
501C24—1221no—
502C24—1222no—
503C24—1222no—
504C24—1222no—
505C24—1222no—
506C24C2×C4×D6112yes—
507C24D4×D6112yes—
508C24D4×D6112yes—
509C24C23×D6111yescharacteristic
510C2×D4—1228no—
511C2×D4—1228no—
512C2×D4—12216no—
513C2×D4—12216no—
514C2×D4—1228no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—612no—
536C22×C4—614no—
537C22×C4—612no—
538C22×C4—612no—
539C22×C4—614no—
540C22×C4—612no—
541C22×C4—612no—
542C22×C4—612no—
543C22×C4—612no—
544C22×C4—614no—
545C22×C4—6116no—
546C22×C4—614no—
547C22×C4—614no—
548C22×C4—1228no—
549C22×C4—12216no—
550C22×C4—1228no—
551C22×C4—12216no—
552C22×C4—12216no—
553C22×C4—1228no—
554C22×C4—1221no—
555C22×C4—1221no—
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—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—2444no—
572C22×C4—2448no—
573C22×C4—2444no—
574C22×C4C2×C4×D6112yes—
575C22×C4C2×C4×D6112yes—
576C22×C4D4×D6114yes—
577C22×C4#1175822414yes—
578C4⋊C4—1228no—
579C4⋊C4—12216no—
580C22⋊C4—28no—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—1228no—
584C22⋊C4—12216no—
585C22⋊C4—12216no—
586C22⋊C4—1228no—
587C22⋊C4—1228no—
588C42—12216no—
589C42—1228no—
590C42—2448no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—22no—
596C23—24no—
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—614no—
612C23—1222no—
613C23—1222no—
614C23—1224no—
615C23—1224no—
616C23—1224no—
617C23—1224no—
618C23—1224no—
619C23—1224no—
620C23—1224no—
621C23—1224no—
622C23—2441no—
623C23—2442no—
624C23—2441no—
625C23—2441no—
626C23—2441no—
627C23—2442no—
628C23—2442no—
629C23—2442no—
630C23—2442no—
631C23—2442no—
632C23C22⋊C4×D6114yes—
633C23C22×C4×D6111yescharacteristic
634C23C2×D4×D6111yescharacteristic
635C23C2×D4×D6111yescharacteristic
636C23C2×D4×D6112yes—
637C23#41×D6112yes—
638C23#41×D6112yes—
639C23#41×D6112yes—
640C23#41×D6112yes—
641C23C2×#1175822412yes—
642D4—12232no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—614no—
668C2×C4—618no—
669C2×C4—614no—
670C2×C4—618no—
671C2×C4—614no—
672C2×C4—614no—
673C2×C4—614no—
674C2×C4—12232no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—1224no—
678C2×C4—1222no—
679C2×C4—1224no—
680C2×C4—1222no—
681C2×C4—1224no—
682C2×C4—1224no—
683C2×C4—1224no—
684C2×C4—1224no—
685C2×C4—1224no—
686C2×C4—1224no—
687C2×C4—1224no—
688C2×C4—1224no—
689C2×C4—24416no—
690C2×C4—2442no—
691C2×C4—2442no—
692C2×C4—2442no—
693C2×C4—2442no—
694C2×C4—2442no—
695C2×C4—2442no—
696C2×C4—2442no—
697C2×C4—2442no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—44no—
702C22—44no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—1224no—
708C22—1228no—
709C22—2442no—
710C22—2444no—
711C22—2444no—
712C22—2444no—
713C22—2444no—
714C22—2442no—
715C22—2444no—
716C22C2×C22⋊C4×D6111yescharacteristic
717C22#117×D6111yescharacteristic
718C22#117×D6111yescharacteristic
719C22C4×D4×D6112yes—
720C22C4×#1175822412yes—
721C22#120×D6111yescharacteristic
722C22#121×D6112yes—
723C22#123×D6111yescharacteristic
724C22#1684026811yescharacteristic
725C22#1684027012yes—
726C22#1684027012yes—
727C22#1684027012yes—
728C22#1684027011yescharacteristic
729C22#1684027212yes—
730C22#1684028912yes—
731C22#1684029112yes—
732C22#1684029512yes—
733C22#1684029512yes—
734C22#1684030712yes—
735C22#1684030712yes—
736C22#1684031112yes—
737C4—42no—
738C4—44no—
739C4—44no—
740C4—42no—
741C4—618no—
742C4—1224no—
743C4—1224no—
744C4—2444no—
745C4—2444no—
746C2—44no—
747C2—2444no—
748C2#2144819911yescharacteristic
749C2#386×D6111yescharacteristic
750C2#2144826112yes—
751C2#2144827912yes—
752C2#2144830411yescharacteristic
753C2#2144903312yes—
754C2#2144905612yes—
755C2#2144906212yes—
756C2#2144907712yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×#1440C2
socle, cosocleC24×C61C24
prime radicalC23×C22⋊D61C22
hypercenter#1440D61
hypocenterC61#13839
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1440

Complements

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

NH ≅ G/Ntype
2. C22×#14519733C2semidirect
3. C2×C22⋊C4×Dic61C2semidirect
4. C2×#16839609C2semidirect
5. #21444070C2semidirect
6. #21444068C2semidirect
7. #21444063C2semidirect
10. #95×Dic61C2semidirect
11. C61×#1440C2semidirect
17. C2×#14519737C4semidirect
92. C2×C4×Dic61D4semidirect
181. C22×Dic61C22⋊C4semidirect
262. C22×D61#117semidirect
313. C2×Dic61#117semidirect
374. #1440D61semidirect
420. C61#13839semidirect

Maximal subgroups

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

subgroupindex
C22×#145197372
C22×#145197332
C2×C22⋊C4×Dic612
C2×#168396092
#214440702
#214440682
#214440632
#214440582
#95×Dic612
C61×#14402
#1383961