Finite Group Databasebeta

← #29685154

Subgroups — #29685154

Order 15616.

1150 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840379C211yesmaximal, characteristic
2C2×#16839820C211yesmaximal, characteristic, complemented
3#21448175C211yesmaximal, characteristic, complemented
4#21446769C211yesmaximal, characteristic, complemented
5#21446765C211yesmaximal, characteristic, complemented
6#21446750C211yesmaximal, characteristic, complemented
7#21446750C211yesmaximal, characteristic, complemented
8#21446137C211yesmaximal, characteristic
9#21446131C211yesmaximal, characteristic, complemented
10#21446124C211yesmaximal, characteristic, complemented
11#21445648C211yesmaximal, characteristic, complemented
12#21445646C211yesmaximal, characteristic, complemented
13#21445638C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C61×#1875C211yesmaximal, characteristic
16#16840379—24no—
17#16840379C418yescomplemented
18C2×#14519776C2211yescharacteristic
19C2×#14519770—21no—
20C2×#14519764—21no—
21C2×#14519764C2211yescharacteristic
22C2×#14519758—21no—
23C2×#14519756C2211yescharacteristic
24C2×#14519754—21no—
25C2×#14519742C2211yescharacteristic
26C2×D4×Dic61C2211yescharacteristic
27C2×#14519736C2211yescharacteristic
28C22×C4⋊Dic61C2211yescharacteristic
29#16839820—24no—
30C2×#14519706C2211yescharacteristic
31C2×#14519706C2211yescharacteristic
32C2×#14519702C2211yescharacteristic
33C2×#14519702C2211yescharacteristic
34C2×#14519700C2211yescharacteristic
35C2×#14519700C2211yescharacteristic
36C2×#14519698C2211yescharacteristic
37C2×#14519698C2211yescharacteristic
38C2×C22⋊#92418C2211yescharacteristic
39C2×#14519687C2211yescharacteristic
40C2×C8×Dic61C2211yescharacteristic
41C4⋊C4×Dic61C2211yescharacteristic
42C4⋊C4×Dic61C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44C4⋊C4×Dic61C2211yescharacteristic
45C4×C4⋊Dic61—21no—
46C4×C4⋊Dic61—21no—
47C22⋊C4×Dic61—21no—
48C22⋊C4×Dic61—21no—
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#121×C61C2211yescharacteristic
56C2×#117×C61C2211yescharacteristic
57C2×#102×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122—21no—
63C22×Dic122C2311yescharacteristic
64C23×Dic61—21no—
65C23×Dic61—21no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68#14519776—22no—
69#14519776C2×C414yescomplemented
70#14519770—28no—
71#14519764—28no—
72#14519764—22no—
73#14519764C2×C414yescomplemented
74#14519758—28no—
75#14519756—22no—
76#14519756C2×C414yes—
77#14519754—28no—
78#14519742—22no—
79#14519742C2×C414yescomplemented
80D4×Dic61—22no—
81D4×Dic61C2×C414yescomplemented
82#14519736C2×C414yes—
83#14519736D414yes—
84C2×C4⋊Dic61—21no—
85C2×C4⋊Dic61—22no—
86C2×C4⋊Dic61—22no—
87C2×C4⋊Dic61D411yescharacteristic
88C2×C4⋊Dic61D411yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×C22⋊Dic61—21no—
96C2×C22⋊Dic61—21no—
97C2×C22⋊Dic61—21no—
98C2×C22⋊Dic61—21no—
99C2×C22⋊Dic61D411yescharacteristic
100C2×C22⋊Dic61D411yescharacteristic
101C2×C4×Dic61—21no—
102C2×C4×Dic61—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61C2311yescharacteristic
107C2×C4×Dic61C2311yescharacteristic
108#14519706—22no—
109#14519706—22no—
110#14519702—22no—
111#14519702—22no—
112#14519700—22no—
113#14519700—22no—
114#14519698—22no—
115#14519698—22no—
116C22⋊#92418—22no—
117#14519687—22no—
118C8×Dic61—22no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×D4×C61—21no—
124C22×D4×C61C2311yescharacteristic
125C23×C4×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128#121×C61—22no—
129#121×C61C2×C414yes—
130#117×C61—22no—
131#117×C61—22no—
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61—21no—
137C2×C42×C61—21no—
138#102×C61—22no—
139#102×C61—22no—
140C22⋊C8×C61—22no—
141C24×C61—21no—
142C24×C61C2×D411yescharacteristic
143C2×D4×C61—24no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—81no—
150C2×D4×C61—81no—
151C2×D4×C61C22×C412yes—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61C22×C412yes—
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D412yes—
162C22×C4×C61C2411yescharacteristic
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—24no—
168C22×Dic61—24no—
169C22×Dic61—81no—
170C22×Dic61—81no—
171C22×Dic61—81no—
172C22×Dic61—81no—
173C22×Dic61C2×D411yescharacteristic
174C22×Dic61C2×D411yescharacteristic
175C22×Dic61C2×D411yescharacteristic
176C22×Dic61C2×D411yescharacteristic
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—24no—
183C2×Dic122—81no—
184C2×Dic122—81no—
185C2×Dic122C22×C412yes—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61C22×C412yes—
196C4⋊C4×C61#4112yes—
197C4⋊C4×C61#4112yes—
198C22⋊C4×C61—24no—
199C22⋊C4×C61—24no—
200C42×C61—24no—
201C22⋊Dic61—24no—
202C22⋊Dic61—24no—
203C22⋊Dic61—24no—
204C22⋊Dic61—24no—
205C22⋊Dic61C22⋊C414yes—
206C22⋊Dic61C22⋊C414yes—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61C22⋊C414yes—
212C4⋊Dic61C22⋊C414yes—
213C4⋊Dic61C22×C412yes—
214C4⋊Dic61#4112yes—
215C4⋊Dic61#4112yes—
216#11758196—24no—
217#11758196—24no—
218#11758196—24no—
219C4×Dic61—24no—
220C4×Dic61—81no—
221C4×Dic61—81no—
222C4×Dic61—81no—
223C4×Dic61—81no—
224C4×Dic61C22×C412yes—
225C4×Dic61C22×C412yes—
226C4×Dic61C2×D412yes—
227C4×Dic61C2×D412yes—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61C2×C22⋊C412yes—
248C23×C61C22×D411yescharacteristic
249D4×C61—22no—
250D4×C61—22no—
251D4×C61—41no—
252D4×C61—41no—
253D4×C61—84no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
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×C61C2×C22⋊C412yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—84no—
297C2×Dic61—84no—
298C2×Dic61C2×C22⋊C412yes—
299C2×Dic61C2×C22⋊C412yes—
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C412yes—
302Dic122—22no—
303Dic122—22no—
304Dic122—41no—
305Dic122—41no—
306Dic122—84no—
307C8×C61—41no—
308C8×C61—41no—
309#92418—41no—
310#92418—41no—
311#21397—611nomaximal, Sylow
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61C22×C22⋊C411yescharacteristic
327C22×C61#52511yescharacteristic
328C22×C61#52511yescharacteristic
329C22×C61#57611yescharacteristic
330C22×C61#57711yescharacteristic
331C22×C61#57711yescharacteristic
332C22×C61#57811yescharacteristic
333C4×C61—22no—
334C4×C61—42no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61C4×#4111yescharacteristic
338C4×C61C4×#4111yescharacteristic
339C4×C61#53211yescharacteristic
340C4×C61#53211yescharacteristic
341Dic61—22no—
342Dic61—22no—
343Dic61—22no—
344Dic61—22no—
345Dic61—42no—
346Dic61—42no—
347Dic61—42no—
348Dic61—42no—
349C2×#542—611no—
350C2×#433—611no—
351#2274—611no—
352#1988—611no—
353#1987—611no—
354#1983—611no—
355#1983—611no—
356#1875D6111yescharacteristic
357#1874—611no—
358#1873—611no—
359#1872—611no—
360#1763—611no—
361#1762—611no—
362C4×#103—611no—
363C4×#102—611no—
364C2×C61—42no—
365C2×C61—82no—
366C2×C61#229711yescharacteristic
367C2×C61#289711yescharacteristic
368C2×C61#289811yescharacteristic
369C2×C61#311811yescharacteristic
370C2×C61#312111yescharacteristic
371C2×C61#312411yescharacteristic
372C2×C61#312511yescharacteristic
373#542—618no—
374#542—1224no—
375C2×C4⋊Q8—611no—
376C2×#126—1221no—
377C2×#124—611no—
378C2×#124—1221no—
379C2×#123—1221no—
380C2×C22⋊Q8—611no—
381C2×C22⋊Q8—1221no—
382C2×#121C2×D6111yescharacteristic
383C2×C4×Q8—611no—
384C2×C4×D4—611no—
385C2×#117—611no—
386C2×#117C2×D6111yescharacteristic
387C22×C4⋊C4—611no—
388#433—1224no—
389C2×C4⋊C8—611no—
390C2×C4⋊C8—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102C2×D6111yescharacteristic
398C2×#102C2×D6111yescharacteristic
399C2×C22⋊C8—611no—
400C2×C22⋊C8C2×D6111yescharacteristic
401C2×#97—611no—
402C2×C4×C8—611no—
403C4×C4⋊C4—611no—
404C4×C4⋊C4—611no—
405C4×C4⋊C4—611no—
406C4×C4⋊C4—611no—
407C4×C4⋊C4—1221no—
408C4×C4⋊C4—1221no—
409C4×C22⋊C4—1221no—
410C4×C22⋊C4—1221no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340C2×D6111yescharacteristic
418#340C2×D6111yescharacteristic
419C61#2139711yescharacteristic, complemented, Sylow
420C22×Q8—611no—
421C22×Q8—1221no—
422C22×D4—21no—
423C22×D4C22×D6111yescharacteristic
424C23×C4—1221no—
425C23×C4—1221no—
426C23×C4C22×D6111yescharacteristic
427C22×C8—611no—
428C22×C8—611no—
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C4⋊Q8—614no—
432C4⋊Q8—1222no—
433#126—1228no—
434#124—614no—
435#124—1222no—
436#124—1228no—
437#123—1228no—
438C22⋊Q8—614no—
439C22⋊Q8—1228no—
440C22⋊Q8—1222no—
441#121—22no—
442#121C4×D6114yes—
443C4×Q8—614no—
444C4×Q8—1222no—
445C4×D4—614no—
446C4×D4—1222no—
447#117—22no—
448#117—22no—
449#117—614no—
450#117—614no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—1222no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—611no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C42—21no—
474C2×C42—611no—
475C2×C42—611no—
476C2×C42—1221no—
477C2×C42—1221no—
478C2×C42—1221no—
479C2×C42—1221no—
480C2×C42—1221no—
481C4⋊C8—1222no—
482C4⋊C8—1222no—
483#103—1222no—
484#103—1222no—
485#103—1222no—
486#103—1222no—
487#102—22no—
488#102—22no—
489#102—1222no—
490#102—1222no—
491C22⋊C8—22no—
492C22⋊C8—1222no—
493#97—1222no—
494C4×C8—1222no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24—21no—
500C24D4×D6111yescharacteristic
501C2×Q8—612no—
502C2×Q8—1224no—
503C2×Q8—1221no—
504C2×Q8—1221no—
505C2×Q8—1221no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×Q8—4881no—
509C2×Q8—4881no—
510C2×D4—24no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—81no—
517C2×D4—81no—
518C2×D4C2×C4×D6112yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—1224no—
531C22×C4—1224no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—4881no—
537C22×C4—4881no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4C2×C4×D6112yes—
541C22×C4D4×D6112yes—
542C22×C4D4×D6111yescharacteristic
543C22×C4C23×D6111yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—614no—
560C4⋊C4—614no—
561C4⋊C4—612no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1224no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1224no—
571C4⋊C4C2×C4×D6112yes—
572C4⋊C4#1175822412yes—
573C4⋊C4#1175822412yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—614no—
577C22⋊C4—614no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C42—24no—
583C42—612no—
584C42—612no—
585C42—612no—
586C42—612no—
587C42—1224no—
588C42—4881no—
589C42—4881no—
590C42—4881no—
591C42—4881no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23C22⋊C4×D6112yes—
606C23C2×D4×D6111yescharacteristic
607Q8—1222no—
608Q8—1222no—
609Q8—4884no—
610Q8—2441no—
611Q8—2441no—
612D4—22no—
613D4—22no—
614D4—41no—
615D4—41no—
616D4—84no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—612no—
633C2×C4—612no—
634C2×C4—612no—
635C2×C4—612no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—4884no—
649C2×C4—4884no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4C22⋊C4×D6112yes—
659C2×C4C22×C4×D6111yescharacteristic
660C2×C4C2×D4×D6111yescharacteristic
661C2×C4#41×D6111yescharacteristic
662C2×C4#41×D6111yescharacteristic
663C2×C4C2×#1175822411yescharacteristic
664C2×C4C2×#1175822411yescharacteristic
665C8—41no—
666C8—41no—
667C8—2441no—
668C8—2441no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22C2×C22⋊C4×D6111yescharacteristic
684C22#1684026811yescharacteristic
685C22#1684027011yescharacteristic
686C22#1684056611yescharacteristic
687C22#1684056911yescharacteristic
688C22#1684057211yescharacteristic
689C22#1684057611yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—1222no—
695C4—1222no—
696C4—1222no—
697C4—1222no—
698C4—2442no—
699C4—2442no—
700C4—2442no—
701C4—2442no—
702C4C4×#1175822411yescharacteristic
703C4C4×#1175822411yescharacteristic
704C4#1684030711yescharacteristic
705C4#1684030711yescharacteristic
706C2—42no—
707C2—82no—
708C2#2144830411yescharacteristic
709C2#2145434411yescharacteristic
710C2#2145434811yescharacteristic
711C2#2145599811yescharacteristic
712C2#2145604311yescharacteristic
713C2#2145607411yescharacteristic
714C2#2145609711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1875C2
socleC23×C61C22×D4
prime radicalC2×#121×C61C22
cosocleC22×C4×C61C24
hypercenter#1875D61
hypocenterC61#21397
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1875

Complements

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

NH ≅ G/Ntype
2. C2×#16839820C2semidirect
3. #21448175C2semidirect
4. #21446769C2semidirect
5. #21446765C2semidirect
6. #21446750C2semidirect
7. #21446750C2semidirect
9. #21446131C2semidirect
10. #21446124C2semidirect
11. #21445648C2semidirect
12. #21445646C2semidirect
13. #21445638C2semidirect
14. #102×Dic61C2semidirect
17. #16840379C4semidirect
69. #14519776C2×C4semidirect
73. #14519764C2×C4semidirect
79. #14519742C2×C4semidirect
81. D4×Dic61C2×C4semidirect
419. C61#21397semidirect

Maximal subgroups

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

subgroupindex
C2×#168403792
C2×#168398202
#214481752
#214467692
#214467652
#214467502
#214461372
#214461312
#214461242
#214456482
#214456462
#214456382
#102×Dic612
C61×#18752
#2139761