Finite Group Databasebeta

← #29601311

Subgroups — #29601311

Order 15616.

2686 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519737C211yesmaximal, characteristic
2C2×#16839638C212yesmaximal
3C2×C4×#11758198C211yesmaximal, characteristic, complemented
4C2×#95×D61C211yesmaximal, characteristic, complemented
5#21444056C211yesmaximal, characteristic, complemented
6#21444054C211yesmaximal, characteristic, complemented
7#21444052C211yesmaximal, characteristic, complemented
8#21444045C212yesmaximal, complemented
9#21444041C212yesmaximal, complemented
10#21444040C212yesmaximal, complemented
11C61×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D61C2211yescharacteristic
13C24×Dic61C2211yescharacteristic
14C23×C4×D61C2212yes—
15C23×C4×D61C2211yescharacteristic
16C2×#14519737—24no—
17C2×#14519737—24no—
18C2×#14519737C418yescomplemented
19C22×#11758196C2211yescharacteristic
20C22×C22⋊Dic61C2212yes—
21C22×#11758198C2211yescharacteristic
22C22×#11758198C2212yes—
23C22×C4×Dic61C2211yescharacteristic
24C22×C4×Dic61C2211yescharacteristic
25#16839638C4116yescomplemented
26C4×#11758198—24no—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2211yescharacteristic
30C2×#14519684C2212yes—
31C2×#14519684C2212yes—
32C2×#14519684C2212yes—
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35#95×D61—24no—
36C22×C22⋊C4×C61C2211yescharacteristic
37C22×C22⋊C4×C61C2212yes—
38C22×C42×C61C2211yescharacteristic
39C2×#95×C61C2211yescharacteristic
40C2×#95×C61C2212yes—
41C24×D61C2311yescharacteristic
42C22×C22⋊D61—22no—
43C22×C22⋊D61—22no—
44C22×C22⋊D61—24no—
45C22×C22⋊D61C2×C414yes—
46C22×C22⋊D61C2×C418yes—
47C23×Dic61—22no—
48C23×Dic61—22no—
49C23×Dic61—42no—
50C23×Dic61—42no—
51C23×Dic61C2×C414yescomplemented
52C23×Dic61C2312yes—
53C23×Dic61C2311yescharacteristic
54C23×Dic61C2312yes—
55C23×Dic61C2311yescharacteristic
56C23×Dic61C2311yescharacteristic
57C22×C4×D61—24no—
58C22×C4×D61—24no—
59C22×C4×D61—42no—
60C22×C4×D61—42no—
61C22×C4×D61—42no—
62C22×C4×D61—42no—
63C22×C4×D61—42no—
64C22×C4×D61—42no—
65C22×C4×D61C2×C414yes—
66C22×C4×D61C2×C418yescomplemented
67C22×C4×D61D414yes—
68C22×C4×D61D414yes—
69#14519737—232no—
70C2×#11758196—22no—
71C2×#11758196—22no—
72C2×#11758196C2×C414yescomplemented
73C2×C22⋊Dic61—42no—
74C2×C22⋊Dic61—42no—
75C2×C22⋊Dic61C2×C418yescomplemented
76C2×#11758198—22no—
77C2×#11758198—22no—
78C2×#11758198—24no—
79C2×#11758198—24no—
80C2×#11758198C2×C414yes—
81C2×#11758198C2×C418yescomplemented
82C2×C4×Dic61—22no—
83C2×C4×Dic61—22no—
84C2×C4×Dic61—22no—
85C2×C4×Dic61—42no—
86C2×C4×Dic61C2×C414yescomplemented
87#14519684—22no—
88#14519684—24no—
89#14519684—24no—
90#14519684—42no—
91#14519684—42no—
92#14519684—42no—
93#14519684C2×C418yescomplemented
94#14519684C2×C418yescomplemented
95C25×C61C2311yescharacteristic
96C23×C4×C61C2311yescharacteristic
97C23×C4×C61C2312yes—
98C23×C4×C61C2312yes—
99C23×C4×C61C2311yescharacteristic
100C2×C22⋊C4×C61—22no—
101C2×C22⋊C4×C61—22no—
102C2×C22⋊C4×C61—42no—
103C2×C22⋊C4×C61—42no—
104C2×C22⋊C4×C61C2×C414yescomplemented
105C2×C22⋊C4×C61C2×C418yescomplemented
106C2×C42×C61—22no—
107C2×C42×C61—42no—
108#95×C61—22no—
109#95×C61—42no—
110C24×C61—21no—
111C24×C61—21no—
112C24×C61—22no—
113C24×C61—22no—
114C24×C61—22no—
115C24×C61—22no—
116C24×C61—22no—
117C24×C61C22×C412yes—
118C24×C61C22×C414yes—
119C24×C61C2411yescharacteristic
120C23×D61—22no—
121C23×D61—22no—
122C23×D61—22no—
123C23×D61—22no—
124C23×D61C22×C412yes—
125C23×D61C22×C414yes—
126C23×D61C2×D412yes—
127C23×D61C2×D412yes—
128C23×D61#4114yes—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
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×C61C22×C414yes—
148C22×C4×C61C22×C414yes—
149C22×C4×C61C22×C412yes—
150C22×C4×C61C22×C412yes—
151C22×C4×C61C2×D412yes—
152C22×C4×C61C2×D412yes—
153C2×C22⋊D61—28no—
154C2×C22⋊D61—28no—
155C2×C22⋊D61—216no—
156C2×C22⋊D61—216no—
157C2×C22⋊D61C42116yescomplemented
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—21no—
165C22×Dic61—21no—
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—28no—
180C22×Dic61—48no—
181C22×Dic61—48no—
182C22×Dic61—44no—
183C22×Dic61—44no—
184C22×Dic61C22×C414yes—
185C22×Dic61C22×C412yes—
186C22×Dic61C22×C414yes—
187C22×Dic61C22×C414yes—
188C22×Dic61C22×C412yes—
189C22×Dic61C22×C412yes—
190C22×Dic61C2×D412yes—
191C22×Dic61C2×D412yes—
192C2×C4×D61—216no—
193C2×C4×D61—48no—
194C2×C4×D61—48no—
195C2×C4×D61—48no—
196C2×C4×D61—44no—
197C2×C4×D61—44no—
198C2×C4×D61—48no—
199C2×C4×D61—48no—
200C2×C4×D61—48no—
201C2×C4×D61—48no—
202C2×C4×D61—48no—
203C2×C4×D61C22⋊C4116yescomplemented
204C22⋊C4×C61—28no—
205C22⋊C4×C61—48no—
206C42×C61—44no—
207C22⋊Dic61—48no—
208#11758198—28no—
209#11758198—216no—
210#11758196—28no—
211C4×Dic61—28no—
212C4×Dic61—44no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61—24no—
216C23×C61—24no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61—24no—
221C23×C61—24no—
222C23×C61—24no—
223C23×C61—42no—
224C23×C61—41no—
225C23×C61—41no—
226C23×C61—41no—
227C23×C61—41no—
228C23×C61—42no—
229C23×C61—42no—
230C23×C61—42no—
231C23×C61—42no—
232C23×C61—42no—
233C23×C61C2×C4214yes—
234C23×C61C23×C411yescharacteristic
235C23×C61C23×C412yes—
236C23×C61C22×D411yescharacteristic
237C23×C61C22×D411yescharacteristic
238C23×C61C2×#4112yes—
239C23×C61H(5,𝔽2)12yes—
240C23×C61H(5,𝔽2)12yes—
241C23×C61H(5,𝔽2)12yes—
242C23×C612−1+412yes—
243C22×D61—24no—
244C22×D61—24no—
245C22×D61—24no—
246C22×D61—24no—
247C22×D61—24no—
248C22×D61—24no—
249C22×D61—24no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—24no—
255C22×D61—24no—
256C22×D61—24no—
257C22×D61—24no—
258C22×D61—24no—
259C22×D61C2×C4214yes—
260C22×D61C2×C22⋊C414yes—
261C22×D61#11714yes—
262C22×D61C4×D418yes—
263C22×D61C4×D418yes—
264C2×C4×C61—24no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—24no—
268C2×C4×C61—22no—
269C2×C4×C61—24no—
270C2×C4×C61—24no—
271C2×C4×C61—24no—
272C2×C4×C61—24no—
273C2×C4×C61—24no—
274C2×C4×C61—24no—
275C2×C4×C61—24no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
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×C61C2×C22⋊C414yes—
288C22⋊D61—232no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—24no—
292C2×Dic61—24no—
293C2×Dic61—24no—
294C2×Dic61—24no—
295C2×Dic61—22no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—24no—
299C2×Dic61—24no—
300C2×Dic61—24no—
301C2×Dic61—24no—
302C2×Dic61—24no—
303C2×Dic61—24no—
304C2×Dic61—24no—
305C2×Dic61—416no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—41no—
310C2×Dic61—41no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61—42no—
314C2×Dic61—42no—
315C2×Dic61—42no—
316C2×Dic61—42no—
317C2×Dic61C2×C4214yes—
318C2×Dic61C2×C22⋊C414yes—
319C4×D61—416no—
320C4×D61—432no—
321#13784—611nomaximal, Sylow
322C22×C61—24no—
323C22×C61—28no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—44no—
327C22×C61—44no—
328C22×C61—44no—
329C22×C61—44no—
330C22×C61—44no—
331C22×C61C22×C4211yescharacteristic
332C22×C61C22×C22⋊C411yescharacteristic
333C22×C61C2×#11711yescharacteristic
334C22×C61C2×C4×D412yes—
335C22×C61C2×C4×D412yes—
336C22×C61#51812yes—
337C22×C61#51812yes—
338C22×C61#51812yes—
339C22×C61#52012yes—
340C22×C61#52012yes—
341C22×C61#52012yes—
342C22×C61#53412yes—
343C22×C61#53411yescharacteristic
344C22×C61#53411yescharacteristic
345C22×C61#53511yescharacteristic
346C22×C61#53611yescharacteristic
347C22×C61#53712yes—
348C22×C61#53812yes—
349C22×C61#53812yes—
350C22×C61#53912yes—
351C22×C61#53912yes—
352C2×D61—24no—
353C2×D61—24no—
354C2×D61—28no—
355C2×D61—28no—
356C2×D61—28no—
357C2×D61—28no—
358C2×D61—28no—
359C2×D61—28no—
360C2×D61C4×C22⋊C418yes—
361C4×C61—24no—
362C4×C61—42no—
363C4×C61—44no—
364C4×C61—44no—
365Dic61—24no—
366Dic61—24no—
367Dic61—42no—
368Dic61—44no—
369Dic61—44no—
370C22×C4×D4—611no—
371C2×#386—612no—
372C2×C4×C22⋊C4—611no—
373C22×#95—611no—
374#1437—611no—
375#1437D6111yescharacteristic, complemented
376#1436—611no—
377#1436—611no—
378#1434—612no—
379C22⋊#95—612no—
380C22⋊#95—612no—
381C2×C61—44no—
382C2×C61C2×C4×C22⋊C411yescharacteristic
383C2×C61#227512yes—
384C2×C61#230811yescharacteristic
385C2×C61#231111yescharacteristic
386C2×C61#231812yes—
387C2×C61#232112yes—
388C2×C61#232212yes—
389C2×C61#232512yes—
390C2×C61#232512yes—
391D61—28no—
392C23×D4—611no—
393C24×C4—611no—
394C24×C4—611no—
395C24×C4—612no—
396C2×C4×D4—618no—
397C2×C4×D4—1224no—
398C2×C4×D4—1224no—
399C22×C4⋊C4—611no—
400C22×C22⋊C4—611no—
401C22×C22⋊C4—612no—
402C22×C22⋊C4—612no—
403C22×C22⋊C4C2×D6111yescharacteristic
404C22×C22⋊C4C2×D6112yes—
405C22×C42—611no—
406C22×C42—611no—
407C22×C42C2×D6111yescharacteristic
408#386—6116no—
409C4×C22⋊C4—1224no—
410C2×#95—612no—
411C2×#95—612no—
412C2×#95—612no—
413C2×#95—612no—
414C2×#95—611no—
415C2×#95—612no—
416C2×#95—612no—
417C2×#95—612no—
418C2×#95—1224no—
419C2×#95C2×D6111yescharacteristic
420C2×#95C2×D6112yes—
421C61#1378411yescharacteristic, complemented, Sylow
422C25—611no—
423C25C22×D6111yescharacteristic
424C22×D4—614no—
425C22×D4—618no—
426C22×D4—1222no—
427C22×D4—1222no—
428C22×D4—1224no—
429C23×C4—611no—
430C23×C4—611no—
431C23×C4—614no—
432C23×C4—614no—
433C23×C4—614no—
434C23×C4—612no—
435C23×C4—611no—
436C23×C4—612no—
437C23×C4—614no—
438C23×C4—618no—
439C23×C4—1224no—
440C23×C4—1224no—
441C23×C4—1222no—
442C23×C4—1222no—
443C23×C4—2442no—
444C23×C4—2442no—
445C23×C4—2442no—
446C23×C4—2442no—
447C23×C4—2442no—
448C23×C4—2442no—
449C23×C4—2442no—
450C23×C4—2442no—
451C23×C4C22×D6112yes—
452C23×C4C22×D6111yescharacteristic
453C23×C4C22×D6112yes—
454C23×C4C22×D6111yescharacteristic
455C4×D4—12232no—
456C2×C4⋊C4—614no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4—1222no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—42no—
462C2×C22⋊C4—42no—
463C2×C22⋊C4—614no—
464C2×C22⋊C4—618no—
465C2×C22⋊C4—618no—
466C2×C22⋊C4—1222no—
467C2×C22⋊C4—1222no—
468C2×C22⋊C4—1224no—
469C2×C22⋊C4—1224no—
470C2×C22⋊C4—2442no—
471C2×C22⋊C4—2442no—
472C2×C22⋊C4C4×D6114yescomplemented
473C2×C22⋊C4C4×D6118yescomplemented
474C2×C42—22no—
475C2×C42—42no—
476C2×C42—614no—
477C2×C42—1222no—
478C2×C42—1222no—
479C2×C42—1222no—
480C2×C42—2442no—
481#95—22no—
482#95—42no—
483#95—618no—
484#95—618no—
485#95—1224no—
486#95—1224no—
487#95—1222no—
488#95—2442no—
489#95—2442no—
490#95—2442no—
491C24—21no—
492C24—21no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—612no—
499C24—614no—
500C24—612no—
501C24—612no—
502C24—614no—
503C24—1222no—
504C24—1222no—
505C24—1222no—
506C24—1222no—
507C24C2×C4×D6114yes—
508C24C2×C4×D6112yes—
509C24C23×D6111yescharacteristic
510C2×D4—6116no—
511C2×D4—1228no—
512C2×D4—1228no—
513C2×D4—12216no—
514C2×D4—12216no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
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—614no—
534C22×C4—612no—
535C22×C4—612no—
536C22×C4—612no—
537C22×C4—612no—
538C22×C4—6116no—
539C22×C4—614no—
540C22×C4—614no—
541C22×C4—612no—
542C22×C4—12216no—
543C22×C4—1228no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1221no—
552C22×C4—1221no—
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—2448no—
566C22×C4—2448no—
567C22×C4—2444no—
568C22×C4—2444no—
569C22×C4—2448no—
570C22×C4—2448no—
571C22×C4—2448no—
572C22×C4—2448no—
573C22×C4—2448no—
574C22×C4—2448no—
575C22×C4—2448no—
576C22×C4—2448no—
577C22×C4—2444no—
578C22×C4—2444no—
579C22×C4C2×C4×D6114yes—
580C22×C4C2×C4×D6114yes—
581C22×C4C2×C4×D6112yes—
582C22×C4C2×C4×D6112yes—
583C22×C4D4×D6112yes—
584C22×C4D4×D6112yes—
585C4⋊C4—1228no—
586C22⋊C4—28no—
587C22⋊C4—48no—
588C22⋊C4—1228no—
589C22⋊C4—12216no—
590C22⋊C4—2448no—
591C42—44no—
592C42—1228no—
593C42—2444no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—614no—
615C23—614no—
616C23—614no—
617C23—618no—
618C23—618no—
619C23—1224no—
620C23—1224no—
621C23—1224no—
622C23—1224no—
623C23—1224no—
624C23—1224no—
625C23—1224no—
626C23—1222no—
627C23—1222no—
628C23—1222no—
629C23—1222no—
630C23—1224no—
631C23—1224no—
632C23—1224no—
633C23—1224no—
634C23—1224no—
635C23C42×D6114yes—
636C23C22×C4×D6111yescharacteristic
637C23C22×C4×D6112yes—
638C23C2×D4×D6111yescharacteristic
639C23C2×D4×D6111yescharacteristic
640C23#41×D6112yes—
641C23#1451982212yes—
642C23#1451982212yes—
643C23#1451982312yes—
644C23#1451982412yes—
645D4—12232no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—614no—
670C2×C4—614no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1224no—
674C2×C4—1224no—
675C2×C4—1224no—
676C2×C4—1224no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1224no—
681C2×C4—1224no—
682C2×C4—1224no—
683C2×C4—1224no—
684C2×C4—1224no—
685C2×C4—1224no—
686C2×C4—1224no—
687C2×C4—24416no—
688C2×C4—24432no—
689C2×C4—24416no—
690C2×C4—2442no—
691C2×C4—2442no—
692C2×C4—2441no—
693C2×C4—2442no—
694C2×C4—2441no—
695C2×C4—2442no—
696C2×C4—2442no—
697C2×C4—2442no—
698C2×C4—2442no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4C22⋊C4×D6114yes—
702C22—24no—
703C22—28no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—42no—
710C22—42no—
711C22—618no—
712C22—1228no—
713C22—1228no—
714C22—1228no—
715C22—1228no—
716C22—1228no—
717C22—1224no—
718C22—1224no—
719C22—1228no—
720C22C2×C42×D6111yescharacteristic
721C22C2×C22⋊C4×D6111yescharacteristic
722C22#117×D6111yescharacteristic
723C22C4×D4×D6112yes—
724C22C4×D4×D6112yes—
725C22#1684023412yes—
726C22#1684023412yes—
727C22#1684023512yes—
728C22#1684024112yes—
729C22#1684024112yes—
730C22#1684024212yes—
731C22#1684032012yes—
732C22#1684032211yescharacteristic
733C22#1684032311yescharacteristic
734C22#1684032511yescharacteristic
735C22#1684033211yescharacteristic
736C22#1684034112yes—
737C22#1684034412yes—
738C22#1684034612yes—
739C22#1684035312yes—
740C22#1684035512yes—
741C4—24no—
742C4—44no—
743C4—44no—
744C4—42no—
745C4—1224no—
746C4—1224no—
747C4—2444no—
748C4—2444no—
749C4—2442no—
750C2—44no—
751C2—1228no—
752C2C4×C22⋊C4×D6111yescharacteristic
753C2#2144817812yes—
754C2#2144839311yescharacteristic
755C2#2144840911yescharacteristic
756C2#2144844912yes—
757C2#2144847812yes—
758C2#2144848912yes—
759C2#2144852112yes—
760C2#2144852312yes—
subgroupG/H
center, FrattiniC24C23×D61
commutatorC22×C61C22×C42
FittingC61×#1437C2
socle, cosocleC24×C61C24
prime radicalC23×C22⋊D61C22
hypercenter#1437D61
hypocenterC61#13784
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
3. C2×C4×#11758198C2semidirect
4. C2×#95×D61C2semidirect
5. #21444056C2semidirect
6. #21444054C2semidirect
7. #21444052C2semidirect
8. #21444045C2semidirect
9. #21444041C2semidirect
10. #21444040C2semidirect
11. C61×#1437C2semidirect
18. C2×#14519737C4semidirect
25. #16839638C4semidirect
51. C23×Dic61C2×C4semidirect
66. C22×C4×D61C2×C4semidirect
72. C2×#11758196C2×C4semidirect
75. C2×C22⋊Dic61C2×C4semidirect
81. C2×#11758198C2×C4semidirect
86. C2×C4×Dic61C2×C4semidirect
93. #14519684C2×C4semidirect
94. #14519684C2×C4semidirect
104. C2×C22⋊C4×C61C2×C4semidirect
105. C2×C22⋊C4×C61C2×C4semidirect
157. C2×C22⋊D61C42semidirect
203. C2×C4×D61C22⋊C4semidirect
375. #1437D61semidirect
421. C61#13784semidirect
472. C2×C22⋊C4C4×D61semidirect
473. C2×C22⋊C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C22×#145197372
C2×#168396382
C2×C4×#117581982
C2×#95×D612
#214440562
#214440542
#214440522
#214440452
#214440412
#214440402
C61×#14372
#1378461