Finite Group Databasebeta

← #26221419

Subgroups — #26221419

Order 12032.

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×#15689740C211yesmaximal, characteristic
2C2×#15689181C211yesmaximal, characteristic, complemented
3#20245744C211yesmaximal, characteristic, complemented
4#20244338C211yesmaximal, characteristic, complemented
5#20244334C211yesmaximal, characteristic, complemented
6#20244319C211yesmaximal, characteristic, complemented
7#20244319C211yesmaximal, characteristic, complemented
8#20243706C211yesmaximal, characteristic
9#20243700C211yesmaximal, characteristic, complemented
10#20243693C211yesmaximal, characteristic, complemented
11#20243217C211yesmaximal, characteristic, complemented
12#20243215C211yesmaximal, characteristic, complemented
13#20243207C211yesmaximal, characteristic, complemented
14#102×Dic47C211yesmaximal, characteristic, complemented
15C47×#1875C211yesmaximal, characteristic
16#15689740—24no—
17#15689740C418yescomplemented
18C2×#13094023C2211yescharacteristic
19C2×#13094017—21no—
20C2×#13094011—21no—
21C2×#13094011C2211yescharacteristic
22C2×#13094005—21no—
23C2×#13094003C2211yescharacteristic
24C2×#13094001—21no—
25C2×#13093989C2211yescharacteristic
26C2×D4×Dic47C2211yescharacteristic
27C2×#13093983C2211yescharacteristic
28C22×C4⋊Dic47C2211yescharacteristic
29#15689181—24no—
30C2×Dic47⋊C8C2211yescharacteristic
31C2×Dic47⋊C8C2211yescharacteristic
32C2×#13093949C2211yescharacteristic
33C2×#13093949C2211yescharacteristic
34C2×#13093947C2211yescharacteristic
35C2×#13093947C2211yescharacteristic
36C2×#13093945C2211yescharacteristic
37C2×#13093945C2211yescharacteristic
38C2×C22⋊(C47⋊C8)C2211yescharacteristic
39C2×#13093934C2211yescharacteristic
40C2×C8×Dic47C2211yescharacteristic
41C4⋊C4×Dic47C2211yescharacteristic
42C4⋊C4×Dic47C2211yescharacteristic
43C4⋊C4×Dic47C2211yescharacteristic
44C4⋊C4×Dic47C2211yescharacteristic
45C4×C4⋊Dic47—21no—
46C4×C4⋊Dic47—21no—
47C22⋊C4×Dic47—21no—
48C22⋊C4×Dic47—21no—
49#15688886C2211yescharacteristic
50#15688886C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C2×#121×C47C2211yescharacteristic
56C2×#117×C47C2211yescharacteristic
57C2×#102×C47C2211yescharacteristic
58C2×#102×C47C2211yescharacteristic
59C2×C22⋊C8×C47C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#340C2211yescharacteristic
62C22×Dic94—21no—
63C22×Dic94C2311yescharacteristic
64C23×Dic47—21no—
65C23×Dic47—21no—
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68#13094023—22no—
69#13094023C2×C414yescomplemented
70#13094017—28no—
71#13094011—28no—
72#13094011—22no—
73#13094011C2×C414yescomplemented
74#13094005—28no—
75#13094003—22no—
76#13094003C2×C414yes—
77#13094001—28no—
78#13093989—22no—
79#13093989C2×C414yescomplemented
80D4×Dic47—22no—
81D4×Dic47C2×C414yescomplemented
82#13093983C2×C414yes—
83#13093983D414yes—
84C2×C4⋊Dic47—21no—
85C2×C4⋊Dic47—22no—
86C2×C4⋊Dic47—22no—
87C2×C4⋊Dic47D411yescharacteristic
88C2×C4⋊Dic47D411yescharacteristic
89C2×C4⋊Dic47C2311yescharacteristic
90C2×C4⋊Dic47C2311yescharacteristic
91C2×C4⋊Dic47C2311yescharacteristic
92C2×Dic47⋊C4—21no—
93C2×Dic47⋊C4—21no—
94C2×Dic47⋊C4—21no—
95C2×C22⋊Dic47—21no—
96C2×C22⋊Dic47—21no—
97C2×C22⋊Dic47—21no—
98C2×C22⋊Dic47—21no—
99C2×C22⋊Dic47D411yescharacteristic
100C2×C22⋊Dic47D411yescharacteristic
101C2×C4×Dic47—21no—
102C2×C4×Dic47—21no—
103C2×C4×Dic47—21no—
104C2×C4×Dic47—21no—
105C2×C4×Dic47—21no—
106C2×C4×Dic47C2311yescharacteristic
107C2×C4×Dic47C2311yescharacteristic
108Dic47⋊C8—22no—
109Dic47⋊C8—22no—
110#13093949—22no—
111#13093949—22no—
112#13093947—22no—
113#13093947—22no—
114#13093945—22no—
115#13093945—22no—
116C22⋊(C47⋊C8)—22no—
117#13093934—22no—
118C8×Dic47—22no—
119C47⋊#95—21no—
120C47⋊#95—21no—
121C47⋊#95—21no—
122C47⋊#95—21no—
123C22×D4×C47—21no—
124C22×D4×C47C2311yescharacteristic
125C23×C4×C47C2311yescharacteristic
126C22×C8×C47C2311yescharacteristic
127C22×C8×C47C2311yescharacteristic
128#121×C47—22no—
129#121×C47C2×C414yes—
130#117×C47—22no—
131#117×C47—22no—
132C2×C4⋊C4×C47C2311yescharacteristic
133C2×C4⋊C4×C47C2311yescharacteristic
134C2×C4⋊C4×C47C2311yescharacteristic
135C2×C22⋊C4×C47—21no—
136C2×C22⋊C4×C47—21no—
137C2×C42×C47—21no—
138#102×C47—22no—
139#102×C47—22no—
140C22⋊C8×C47—22no—
141C24×C47—21no—
142C24×C47C2×D411yescharacteristic
143C2×D4×C47—24no—
144C2×D4×C47—21no—
145C2×D4×C47—21no—
146C2×D4×C47—21no—
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—81no—
150C2×D4×C47—81no—
151C2×D4×C47C22×C412yes—
152C22×C4×C47—21no—
153C22×C4×C47—21no—
154C22×C4×C47—21no—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47—21no—
159C22×C4×C47C22×C412yes—
160C22×C4×C47C2×D411yescharacteristic
161C22×C4×C47C2×D412yes—
162C22×C4×C47C2411yescharacteristic
163C22×Dic47—21no—
164C22×Dic47—21no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47—24no—
168C22×Dic47—24no—
169C22×Dic47—81no—
170C22×Dic47—81no—
171C22×Dic47—81no—
172C22×Dic47—81no—
173C22×Dic47C2×D411yescharacteristic
174C22×Dic47C2×D411yescharacteristic
175C22×Dic47C2×D411yescharacteristic
176C22×Dic47C2×D411yescharacteristic
177C2×Dic94—21no—
178C2×Dic94—21no—
179C2×Dic94—21no—
180C2×Dic94—21no—
181C2×Dic94—21no—
182C2×Dic94—24no—
183C2×Dic94—81no—
184C2×Dic94—81no—
185C2×Dic94C22×C412yes—
186C2×C8×C47—21no—
187C2×C8×C47—21no—
188C2×C8×C47—21no—
189C2×C8×C47—21no—
190C2×C8×C47—21no—
191C2×C8×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47C22×C412yes—
196C4⋊C4×C47#4112yes—
197C4⋊C4×C47#4112yes—
198C22⋊C4×C47—24no—
199C22⋊C4×C47—24no—
200C42×C47—24no—
201C22⋊Dic47—24no—
202C22⋊Dic47—24no—
203C22⋊Dic47—24no—
204C22⋊Dic47—24no—
205C22⋊Dic47C22⋊C414yes—
206C22⋊Dic47C22⋊C414yes—
207C4⋊Dic47—24no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47C22⋊C414yes—
212C4⋊Dic47C22⋊C414yes—
213C4⋊Dic47C22×C412yes—
214C4⋊Dic47#4112yes—
215C4⋊Dic47#4112yes—
216Dic47⋊C4—24no—
217Dic47⋊C4—24no—
218Dic47⋊C4—24no—
219C4×Dic47—24no—
220C4×Dic47—81no—
221C4×Dic47—81no—
222C4×Dic47—81no—
223C4×Dic47—81no—
224C4×Dic47C22×C412yes—
225C4×Dic47C22×C412yes—
226C4×Dic47C2×D412yes—
227C4×Dic47C2×D412yes—
228C2×C47⋊C8—21no—
229C2×C47⋊C8—21no—
230C2×C47⋊C8—21no—
231C2×C47⋊C8—21no—
232C2×C47⋊C8—21no—
233C2×C47⋊C8—21no—
234C23×C47—21no—
235C23×C47—21no—
236C23×C47—21no—
237C23×C47—21no—
238C23×C47—21no—
239C23×C47—21no—
240C23×C47—22no—
241C23×C47—41no—
242C23×C47—41no—
243C23×C47—41no—
244C23×C47—41no—
245C23×C47—41no—
246C23×C47—41no—
247C23×C47C2×C22⋊C412yes—
248C23×C47C22×D411yescharacteristic
249D4×C47—22no—
250D4×C47—22no—
251D4×C47—41no—
252D4×C47—41no—
253D4×C47—84no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—22no—
259C2×C4×C47—22no—
260C2×C4×C47—22no—
261C2×C4×C47—22no—
262C2×C4×C47—22no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47C2×C22⋊C412yes—
270C2×C4×C47C23×C411yescharacteristic
271C2×C4×C47C22×D411yescharacteristic
272C2×C4×C47C2×#4111yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C2×C4×C47C2×#4111yescharacteristic
275C2×C4×C47C2×#4111yescharacteristic
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—21no—
283C2×Dic47—21no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47—84no—
297C2×Dic47—84no—
298C2×Dic47C2×C22⋊C412yes—
299C2×Dic47C2×C22⋊C412yes—
300C2×Dic47C2×C22⋊C412yes—
301C2×Dic47C2×C22⋊C412yes—
302Dic94—22no—
303Dic94—22no—
304Dic94—41no—
305Dic94—41no—
306Dic94—84no—
307C8×C47—41no—
308C8×C47—41no—
309C47⋊C8—41no—
310C47⋊C8—41no—
311#21397—471nomaximal, Sylow
312C22×C47—22no—
313C22×C47—22no—
314C22×C47—22no—
315C22×C47—41no—
316C22×C47—41no—
317C22×C47—41no—
318C22×C47—41no—
319C22×C47—42no—
320C22×C47—42no—
321C22×C47—42no—
322C22×C47—81no—
323C22×C47—81no—
324C22×C47—81no—
325C22×C47—81no—
326C22×C47C22×C22⋊C411yescharacteristic
327C22×C47#52511yescharacteristic
328C22×C47#52511yescharacteristic
329C22×C47#57611yescharacteristic
330C22×C47#57711yescharacteristic
331C22×C47#57711yescharacteristic
332C22×C47#57811yescharacteristic
333C4×C47—22no—
334C4×C47—42no—
335C4×C47—42no—
336C4×C47—42no—
337C4×C47C4×#4111yescharacteristic
338C4×C47C4×#4111yescharacteristic
339C4×C47#53211yescharacteristic
340C4×C47#53211yescharacteristic
341Dic47—22no—
342Dic47—22no—
343Dic47—22no—
344Dic47—22no—
345Dic47—42no—
346Dic47—42no—
347Dic47—42no—
348Dic47—42no—
349C2×#542—471no—
350C2×#433—471no—
351#2274—471no—
352#1988—471no—
353#1987—471no—
354#1983—471no—
355#1983—471no—
356#1875D4711yescharacteristic
357#1874—471no—
358#1873—471no—
359#1872—471no—
360#1763—471no—
361#1762—471no—
362C4×#103—471no—
363C4×#102—471no—
364C2×C47—42no—
365C2×C47—82no—
366C2×C47#229711yescharacteristic
367C2×C47#289711yescharacteristic
368C2×C47#289811yescharacteristic
369C2×C47#311811yescharacteristic
370C2×C47#312111yescharacteristic
371C2×C47#312411yescharacteristic
372C2×C47#312511yescharacteristic
373#542—478no—
374#542—944no—
375C2×C4⋊Q8—471no—
376C2×#126—941no—
377C2×#124—471no—
378C2×#124—941no—
379C2×#123—941no—
380C2×C22⋊Q8—471no—
381C2×C22⋊Q8—941no—
382C2×#121C2×D4711yescharacteristic
383C2×C4×Q8—471no—
384C2×C4×D4—471no—
385C2×#117—471no—
386C2×#117C2×D4711yescharacteristic
387C22×C4⋊C4—471no—
388#433—944no—
389C2×C4⋊C8—471no—
390C2×C4⋊C8—471no—
391C2×#103—471no—
392C2×#103—471no—
393C2×#103—471no—
394C2×#103—471no—
395C2×#102—471no—
396C2×#102—471no—
397C2×#102C2×D4711yescharacteristic
398C2×#102C2×D4711yescharacteristic
399C2×C22⋊C8—471no—
400C2×C22⋊C8C2×D4711yescharacteristic
401C2×#97—471no—
402C2×C4×C8—471no—
403C4×C4⋊C4—471no—
404C4×C4⋊C4—471no—
405C4×C4⋊C4—471no—
406C4×C4⋊C4—471no—
407C4×C4⋊C4—941no—
408C4×C4⋊C4—941no—
409C4×C22⋊C4—941no—
410C4×C22⋊C4—941no—
411#340—471no—
412#340—471no—
413#340—471no—
414#340—471no—
415#340—471no—
416#340—471no—
417#340C2×D4711yescharacteristic
418#340C2×D4711yescharacteristic
419C47#2139711yescharacteristic, complemented, Sylow
420C22×Q8—471no—
421C22×Q8—941no—
422C22×D4—21no—
423C22×D4C22×D4711yescharacteristic
424C23×C4—941no—
425C23×C4—941no—
426C23×C4C22×D4711yescharacteristic
427C22×C8—471no—
428C22×C8—471no—
429C22×C8C22×D4711yescharacteristic
430C22×C8C22×D4711yescharacteristic
431C4⋊Q8—474no—
432C4⋊Q8—942no—
433#126—948no—
434#124—474no—
435#124—942no—
436#124—948no—
437#123—948no—
438C22⋊Q8—474no—
439C22⋊Q8—948no—
440C22⋊Q8—942no—
441#121—22no—
442#121C4×D4714yes—
443C4×Q8—474no—
444C4×Q8—942no—
445C4×D4—474no—
446C4×D4—942no—
447#117—22no—
448#117—22no—
449#117—474no—
450#117—474no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—471no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—471no—
456C2×C4⋊C4—942no—
457C2×C4⋊C4—942no—
458C2×C4⋊C4—941no—
459C2×C4⋊C4—941no—
460C2×C4⋊C4—941no—
461C2×C4⋊C4—941no—
462C2×C4⋊C4C22×D4711yescharacteristic
463C2×C4⋊C4C22×D4711yescharacteristic
464C2×C4⋊C4C22×D4711yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—471no—
468C2×C22⋊C4—471no—
469C2×C22⋊C4—941no—
470C2×C22⋊C4—941no—
471C2×C22⋊C4—941no—
472C2×C22⋊C4—941no—
473C2×C42—21no—
474C2×C42—471no—
475C2×C42—471no—
476C2×C42—941no—
477C2×C42—941no—
478C2×C42—941no—
479C2×C42—941no—
480C2×C42—941no—
481C4⋊C8—942no—
482C4⋊C8—942no—
483#103—942no—
484#103—942no—
485#103—942no—
486#103—942no—
487#102—22no—
488#102—22no—
489#102—942no—
490#102—942no—
491C22⋊C8—22no—
492C22⋊C8—942no—
493#97—942no—
494C4×C8—942no—
495#95—941no—
496#95—941no—
497#95—941no—
498#95—941no—
499C24—21no—
500C24D4×D4711yescharacteristic
501C2×Q8—472no—
502C2×Q8—944no—
503C2×Q8—941no—
504C2×Q8—941no—
505C2×Q8—941no—
506C2×Q8—941no—
507C2×Q8—941no—
508C2×Q8—3761no—
509C2×Q8—3761no—
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×D4712yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—471no—
527C22×C4—471no—
528C22×C4—471no—
529C22×C4—471no—
530C22×C4—944no—
531C22×C4—944no—
532C22×C4—941no—
533C22×C4—941no—
534C22×C4—941no—
535C22×C4—941no—
536C22×C4—3761no—
537C22×C4—3761no—
538C22×C4—3761no—
539C22×C4—3761no—
540C22×C4C2×C4×D4712yes—
541C22×C4D4×D4711yescharacteristic
542C22×C4D4×D4712yes—
543C22×C4C23×D4711yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—941no—
551C2×C8—941no—
552C2×C8—941no—
553C2×C8—941no—
554C2×C8—941no—
555C2×C8—941no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—474no—
560C4⋊C4—474no—
561C4⋊C4—472no—
562C4⋊C4—472no—
563C4⋊C4—472no—
564C4⋊C4—944no—
565C4⋊C4—944no—
566C4⋊C4—944no—
567C4⋊C4—944no—
568C4⋊C4—941no—
569C4⋊C4—941no—
570C4⋊C4—941no—
571C4⋊C4C2×C4×D4712yes—
572C4⋊C4#1062535212yes—
573C4⋊C4#1062535212yes—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—474no—
577C22⋊C4—474no—
578C22⋊C4—944no—
579C22⋊C4—944no—
580C22⋊C4—944no—
581C22⋊C4—944no—
582C42—24no—
583C42—472no—
584C42—472no—
585C42—472no—
586C42—472no—
587C42—944no—
588C42—3761no—
589C42—3761no—
590C42—3761no—
591C42—3761no—
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×D4712yes—
606C23C2×D4×D4711yescharacteristic
607Q8—942no—
608Q8—942no—
609Q8—3764no—
610Q8—1881no—
611Q8—1881no—
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—472no—
633C2×C4—472no—
634C2×C4—472no—
635C2×C4—472no—
636C2×C4—941no—
637C2×C4—941no—
638C2×C4—941no—
639C2×C4—941no—
640C2×C4—941no—
641C2×C4—941no—
642C2×C4—941no—
643C2×C4—941no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—942no—
648C2×C4—3764no—
649C2×C4—3764no—
650C2×C4—1881no—
651C2×C4—1881no—
652C2×C4—1881no—
653C2×C4—1881no—
654C2×C4—1881no—
655C2×C4—1881no—
656C2×C4—1881no—
657C2×C4—1881no—
658C2×C4C22⋊C4×D4712yes—
659C2×C4C22×C4×D4711yescharacteristic
660C2×C4C2×D4×D4711yescharacteristic
661C2×C4#41×D4711yescharacteristic
662C2×C4#41×D4711yescharacteristic
663C2×C4C2×#1062535211yescharacteristic
664C2×C4C2×#1062535211yescharacteristic
665C8—41no—
666C8—41no—
667C8—1881no—
668C8—1881no—
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×D4711yescharacteristic
684C22#1568962911yescharacteristic
685C22#1568963111yescharacteristic
686C22#1568992711yescharacteristic
687C22#1568993011yescharacteristic
688C22#1568993311yescharacteristic
689C22#1568993711yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—942no—
695C4—942no—
696C4—942no—
697C4—942no—
698C4—1882no—
699C4—1882no—
700C4—1882no—
701C4—1882no—
702C4C4×#1062535211yescharacteristic
703C4C4×#1062535211yescharacteristic
704C4#1568966811yescharacteristic
705C4#1568966811yescharacteristic
706C2—42no—
707C2—82no—
708C2#2024587311yescharacteristic
709C2#2025191311yescharacteristic
710C2#2025191711yescharacteristic
711C2#2025356711yescharacteristic
712C2#2025361211yescharacteristic
713C2#2025364311yescharacteristic
714C2#2025366611yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1875C2
socleC23×C47C22×D4
prime radicalC2×#121×C47C22
cosocleC22×C4×C47C24
hypercenter#1875D47
hypocenterC47#21397
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1875

Complements

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

NH ≅ G/Ntype
2. C2×#15689181C2semidirect
3. #20245744C2semidirect
4. #20244338C2semidirect
5. #20244334C2semidirect
6. #20244319C2semidirect
7. #20244319C2semidirect
9. #20243700C2semidirect
10. #20243693C2semidirect
11. #20243217C2semidirect
12. #20243215C2semidirect
13. #20243207C2semidirect
14. #102×Dic47C2semidirect
17. #15689740C4semidirect
69. #13094023C2×C4semidirect
73. #13094011C2×C4semidirect
79. #13093989C2×C4semidirect
81. D4×Dic47C2×C4semidirect
419. C47#21397semidirect

Maximal subgroups

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

subgroupindex
C2×#156897402
C2×#156891812
#202457442
#202443382
#202443342
#202443192
#202437062
#202437002
#202436932
#202432172
#202432152
#202432072
#102×Dic472
C47×#18752
#2139747