Finite Group Databasebeta

← #29680128

Subgroups — #29680128

Order 15616.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840241C211yesmaximal, characteristic
2C2×#16839822C211yesmaximal, characteristic, complemented
3#21448429C211yesmaximal, characteristic, complemented
4#21445908C211yesmaximal, characteristic, complemented
5#21445904C211yesmaximal, characteristic, complemented
6#21445831C211yesmaximal, characteristic, complemented
7#21445825C211yesmaximal, characteristic, complemented
8#21445819C211yesmaximal, characteristic, complemented
9#21445756C211yesmaximal, characteristic
10#21445756C211yesmaximal, characteristic
11#21445648C211yesmaximal, characteristic, complemented
12#21445646C211yesmaximal, characteristic, complemented
13#21445638C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C61×#1804C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17#16840241—24no—
18#16840241C418yescomplemented
19C2×C4×Dic122C2211yescharacteristic
20C2×#14519742C2211yescharacteristic
21C2×D4×Dic61C2211yescharacteristic
22C2×C4×C22⋊D61—21no—
23C2×#14519737—21no—
24C2×#14519734C2211yescharacteristic
25C2×#14519733—21no—
26C22×#11758196—21no—
27C2×C4⋊C4×D61C2211yescharacteristic
28#16839822—24no—
29C2×C4⋊#92418C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519702C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519700C2211yescharacteristic
34C2×#14519698C2211yescharacteristic
35C2×#14519698C2211yescharacteristic
36C2×#14519689C2211yescharacteristic
37C2×#14519689C2211yescharacteristic
38C2×#14519687C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40#16839654—21no—
41#16839654—21no—
42#16839649—21no—
43#16839649—21no—
44#16839632C2211yescharacteristic
45#16839619C2211yescharacteristic
46#16839619C2211yescharacteristic
47C4⋊C4×Dic61C2211yescharacteristic
48C4⋊C4×Dic61C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C2×C4⋊C8×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C61×#382C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C2×#11758224—22no—
63C2×#11758224—22no—
64C2×#11758224—22no—
65C2×#11758224—22no—
66C2×#11758224—22no—
67C2×#11758224C2×C414yes—
68C22×Dic122C2311yescharacteristic
69C22×C22⋊D61—21no—
70C23×Dic61—21no—
71C23×Dic61—21no—
72C22×C4×D61—21no—
73C22×C4×D61C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76C4×Dic122—22no—
77C4×Dic122C2×C414yes—
78#14519742—22no—
79#14519742C2×C414yes—
80D4×Dic61—22no—
81D4×Dic61C2×C414yes—
82C4×C22⋊D61—28no—
83#14519737—28no—
84#14519734C2×C414yes—
85#14519734D414yes—
86#14519733—28no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196—28no—
96C2×#11758196D411yescharacteristic
97C2×#11758196D411yescharacteristic
98C4⋊C4×D61—22no—
99C4⋊C4×D61C2×C414yes—
100C2×C22⋊Dic61—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198D411yescharacteristic
104C2×#11758198D411yescharacteristic
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110C4⋊#92418—22no—
111#14519702—22no—
112#14519702—22no—
113#14519700—22no—
114#14519700—22no—
115#14519698—22no—
116#14519698—22no—
117#14519689—22no—
118#14519689—22no—
119#14519687—22no—
120C8×Dic61—22no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125C22×D4×C61C2311yescharacteristic
126C23×C4×C61—21no—
127C22×C8×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C4×D4×C61—22no—
130C4×D4×C61C2×C414yes—
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C22⋊C4×C61—21no—
135C2×C42×C61C2311yescharacteristic
136C4⋊C8×C61—22no—
137#102×C61—22no—
138#102×C61—22no—
139#95×C61—21no—
140#95×C61—21no—
141C24×C61—21no—
142C23×D61C2×D411yescharacteristic
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61C22×C412yes—
147C2×D4×C61#4112yes—
148C2×D4×C61#4112yes—
149C22×C4×C61—21no—
150C22×C4×C61—24no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—81no—
154C22×C4×C61—81no—
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2411yescharacteristic
158C2×C22⋊D61—24no—
159C2×C22⋊D61—24no—
160C2×C22⋊D61—24no—
161C22×Dic61—24no—
162C22×Dic61—24no—
163C22×Dic61—21no—
164C22×Dic61—24no—
165C22×Dic61—21no—
166C22×Dic61—24no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—81no—
170C22×Dic61—81no—
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174#11758224—28no—
175#11758224—28no—
176#11758224—28no—
177#11758224—28no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—24no—
183C2×C4×D61—81no—
184C2×C4×D61—81no—
185C2×C4×D61C22×C412yes—
186C2×C4×D61C2×D412yes—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122C22×C412yes—
191C2×Dic122#4112yes—
192C2×Dic122#4112yes—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61C22×C412yes—
205C22⋊C4×C61—24no—
206C42×C61C22×C412yes—
207C42×C61C2×D412yes—
208C22⋊Dic61—24no—
209#11758198—81no—
210#11758198—81no—
211#11758198C22⋊C414yes—
212#11758198C22⋊C414yes—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—81no—
219C4⋊Dic61—81no—
220C4⋊Dic61C22×C412yes—
221#11758196—24no—
222#11758196—24no—
223#11758196—24no—
224#11758196C22⋊C414yes—
225#11758196C22⋊C414yes—
226C4×Dic61—24no—
227C4×Dic61—24no—
228C4×Dic61—81no—
229C4×Dic61—81no—
230C4×Dic61C22×C412yes—
231C4×Dic61C2×D412yes—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C23×C61—22no—
239C23×C61—22no—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61C22×D411yescharacteristic
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61C2×C22⋊C412yes—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—22no—
256D4×C61#11714yes—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—84no—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C2×C22⋊C412yes—
273C2×C4×C61C23×C411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C22⋊D61—216no—
280C2×Dic61—216no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—22no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—84no—
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C412yes—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—84no—
308Dic122—22no—
309Dic122—22no—
310Dic122—22no—
311Dic122#11714yes—
312C8×C61—41no—
313C8×C61—41no—
314#92418—41no—
315#92418—41no—
316#20746—611nomaximal, Sylow
317C22×C61—24no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61C22×C22⋊C411yescharacteristic
325C22×C61#52511yescharacteristic
326C22×C61#52511yescharacteristic
327C22×C61#57611yescharacteristic
328C22×C61#57711yescharacteristic
329C22×C61#57711yescharacteristic
330C22×C61#57811yescharacteristic
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—41no—
335C2×D61—41no—
336C2×D61—41no—
337C2×D61—41no—
338C4×C61—22no—
339C4×C61—22no—
340C4×C61—42no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61C2×#11711yescharacteristic
344C4×C61C2×#11711yescharacteristic
345C4×C61#52511yescharacteristic
346C4×C61#52511yescharacteristic
347Dic61—22no—
348Dic61—22no—
349Dic61—24no—
350Dic61—22no—
351Dic61—42no—
352Dic61—81no—
353Dic61—81no—
354C2×#520—611no—
355C2×#433—611no—
356#2314—611no—
357#1824—611no—
358#1823—611no—
359#1805—611no—
360#1804D6111yescharacteristic, complemented
361#1803—611no—
362#1802—611no—
363#1788—611no—
364#1788—611no—
365#1763—611no—
366#1762—611no—
367C4×#103—611no—
368C4×#102—611no—
369C2×C61—44no—
370C2×C61#228011yescharacteristic
371C2×C61#289711yescharacteristic
372C2×C61#289811yescharacteristic
373C2×C61#311911yescharacteristic
374C2×C61#312011yescharacteristic
375C2×C61#312411yescharacteristic
376C2×C61#312511yescharacteristic
377D61—42no—
378C22×#41—611no—
379#520—618no—
380#520—1224no—
381C2×C4×Q8—611no—
382C2×C4×Q8—611no—
383C2×C4×D4—611no—
384C2×C4×D4—1221no—
385C2×C4×D4—1221no—
386C2×C4×D4C2×D6111yescharacteristic
387C2×#117—611no—
388C2×#117—1221no—
389C22×C4⋊C4—611no—
390C22×C4⋊C4—1221no—
391#433—1224no—
392C2×C4⋊C8—611no—
393C2×C4⋊C8C2×D6111yescharacteristic
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102C2×D6111yescharacteristic
401C2×#102C2×D6111yescharacteristic
402C2×C22⋊C8—611no—
403C2×C22⋊C8—611no—
404C2×#97—611no—
405C2×C4×C8—611no—
406#388—1221no—
407#388—1221no—
408#387—1221no—
409#387—1221no—
410#384—611no—
411#382C2×D6111yescharacteristic
412#380—611no—
413#380—611no—
414C4×C4⋊C4—611no—
415C4×C4⋊C4—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#340—611no—
421#340—611no—
422#340C2×D6111yescharacteristic
423#340C2×D6111yescharacteristic
424C61#2074611yescharacteristic, complemented, Sylow
425C2×#41—614no—
426C2×#41—1222no—
427C2×#41—1222no—
428C2×#41—1222no—
429C2×#41—1222no—
430C2×#41—1222no—
431C22×Q8—611no—
432C22×D4—1221no—
433C22×D4C22×D6111yescharacteristic
434C23×C4—21no—
435C23×C4—611no—
436C23×C4—1221no—
437C23×C4—1221no—
438C23×C4—1221no—
439C22×C8—611no—
440C22×C8—611no—
441C22×C8C22×D6111yescharacteristic
442C22×C8C22×D6111yescharacteristic
443C4×Q8—614no—
444C4×Q8—614no—
445C4×Q8—1222no—
446C4×Q8—1222no—
447C4×D4—22no—
448C4×D4—614no—
449C4×D4—1222no—
450C4×D4—1228no—
451C4×D4—1228no—
452C4×D4C4×D6114yes—
453#117—614no—
454#117—614no—
455#117—1228no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—614no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—1222no—
463C2×C4⋊C4—1228no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—611no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C42—611no—
479C2×C42—1221no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42—1221no—
483C2×C42C22×D6111yescharacteristic
484C4⋊C8—22no—
485C4⋊C8—1222no—
486#103—1222no—
487#103—1222no—
488#103—1222no—
489#103—1222no—
490#102—22no—
491#102—22no—
492#102—1222no—
493#102—1222no—
494C22⋊C8—1222no—
495C22⋊C8—1222no—
496#97—1222no—
497C4×C8—1222no—
498#95—21no—
499#95—21no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504C24—21no—
505C24—611no—
506#41—1228no—
507#41—1228no—
508#41—1228no—
509#41—1228no—
510C2×Q8—612no—
511C2×Q8—612no—
512C2×Q8—612no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—1224no—
520C2×D4—1224no—
521C2×D4—1224no—
522C2×D4C2×C4×D6112yes—
523C2×D4#1175822412yes—
524C2×D4#1175822612yes—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—612no—
535C22×C4—612no—
536C22×C4—1224no—
537C22×C4—1224no—
538C22×C4—1224no—
539C22×C4—1224no—
540C22×C4—1224no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—4881no—
550C22×C4—4881no—
551C22×C4—4881no—
552C22×C4—4881no—
553C22×C4D4×D6111yescharacteristic
554C22×C4D4×D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—614no—
574C4⋊C4—614no—
575C4⋊C4—612no—
576C4⋊C4—1224no—
577C4⋊C4—1224no—
578C4⋊C4—1221no—
579C4⋊C4—1224no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—4881no—
585C4⋊C4—4881no—
586C4⋊C4C2×C4×D6112yes—
587C22⋊C4—24no—
588C22⋊C4—614no—
589C22⋊C4—614no—
590C22⋊C4—1224no—
591C22⋊C4—4881no—
592C22⋊C4—4881no—
593C42—612no—
594C42—612no—
595C42—1224no—
596C42—1224no—
597C42—4881no—
598C42—4881no—
599C42C2×C4×D6112yes—
600C42D4×D6112yes—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—612no—
609C23—1221no—
610C23—1221no—
611C23—1221no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23C2×D4×D6111yescharacteristic
616Q8—614no—
617Q8—1222no—
618Q8—1222no—
619Q8—1222no—
620D4—22no—
621D4—22no—
622D4—22no—
623D4—12216no—
624D4#1451973514yes—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—84no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—612no—
642C2×C4—12216no—
643C2×C4—1222no—
644C2×C4—1221no—
645C2×C4—1222no—
646C2×C4—1221no—
647C2×C4—1222no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—4884no—
658C2×C4—4884no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4C22⋊C4×D6112yes—
668C2×C4C22⋊C4×D6112yes—
669C2×C4C22×C4×D6111yescharacteristic
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4#41×D6111yescharacteristic
672C2×C4#41×D6111yescharacteristic
673C2×C4C2×#1175822411yescharacteristic
674C2×C4C2×#1175822611yescharacteristic
675C8—41no—
676C8—41no—
677C8—2441no—
678C8—2441no—
679C22—24no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—1222no—
687C22—1222no—
688C22—1222no—
689C22—2441no—
690C22—2441no—
691C22—2441no—
692C22—2441no—
693C22C2×C22⋊C4×D6111yescharacteristic
694C22#1684027211yescharacteristic
695C22#1684027511yescharacteristic
696C22#1684056611yescharacteristic
697C22#1684056911yescharacteristic
698C22#1684057211yescharacteristic
699C22#1684057611yescharacteristic
700C4—22no—
701C4—22no—
702C4—42no—
703C4—81no—
704C4—81no—
705C4—1222no—
706C4—1222no—
707C4—1224no—
708C4—1222no—
709C4—4881no—
710C4—4881no—
711C4—2442no—
712C4#117×D6111yescharacteristic
713C4C2×#1451973511yescharacteristic
714C4#1684027211yescharacteristic
715C4#1684027511yescharacteristic
716C2—44no—
717C2—2442no—
718C2#2144820111yescharacteristic
719C2#2145434411yescharacteristic
720C2#2145434811yescharacteristic
721C2#2145602311yescharacteristic
722C2#2145603811yescharacteristic
723C2#2145607811yescharacteristic
724C2#2145609311yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1804C2
socleC23×C61C22×D4
prime radicalC22×#11758224C22
cosocleC22×C4×C61C24
hypercenter#1804D61
hypocenterC61#20746
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1804

Complements

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

NH ≅ G/Ntype
2. C2×#16839822C2semidirect
3. #21448429C2semidirect
4. #21445908C2semidirect
5. #21445904C2semidirect
6. #21445831C2semidirect
7. #21445825C2semidirect
8. #21445819C2semidirect
11. #21445648C2semidirect
12. #21445646C2semidirect
13. #21445638C2semidirect
14. #102×Dic61C2semidirect
15. C61×#1804C2semidirect
18. #16840241C4semidirect
360. #1804D61semidirect
424. C61#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#168402412
C2×#168398222
#214484292
#214459082
#214459042
#214458312
#214458252
#214458192
#214457562
#214456482
#214456462
#214456382
#102×Dic612
C61×#18042
#2074661