Finite Group Databasebeta

← #26221429

Subgroups — #26221429

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×#15689742C211yesmaximal, characteristic
2C2×#15689183C211yesmaximal, characteristic, complemented
3#20245742C211yesmaximal, characteristic, complemented
4#20244339C211yesmaximal, characteristic, complemented
5#20244336C211yesmaximal, characteristic, complemented
6#20244321C211yesmaximal, characteristic, complemented
7#20243707C211yesmaximal, characteristic
8#20243702C211yesmaximal, characteristic
9#20243697C211yesmaximal, characteristic, complemented
10#20243692C211yesmaximal, characteristic, complemented
11#20243220C211yesmaximal, characteristic, complemented
12#20243215C211yesmaximal, characteristic, complemented
13#103×Dic47C211yesmaximal, characteristic, complemented
14#102×Dic47C211yesmaximal, characteristic, complemented
15C47×#1983C211yesmaximal, characteristic, complemented
16#15689742—24no—
17#15689742C418yescomplemented
18C2×#13094024C2211yescharacteristic
19C2×#13094017—21no—
20C2×#13094010—21no—
21C2×#13094008—21no—
22C2×#13094001—21no—
23C2×#13094000C2211yescharacteristic
24C2×#13093995C2211yescharacteristic
25C2×Q8×Dic47C2211yescharacteristic
26C2×D4×Dic47C2211yescharacteristic
27C2×#13093982C2211yescharacteristic
28C2×#13093981C2211yescharacteristic
29C2×C4⋊C4×D47C2211yescharacteristic
30#15689183—24no—
31C2×C4⋊(C47⋊C8)C2211yescharacteristic
32C2×#13093948C2211yescharacteristic
33C2×#13093948C2211yescharacteristic
34C2×#13093945C2211yescharacteristic
35C2×#13093945C2211yescharacteristic
36C2×(C2×D47)⋊C8C2211yescharacteristic
37C2×(C2×D47)⋊C8C2211yescharacteristic
38C2×#13093934C2211yescharacteristic
39C2×C8×Dic47C2211yescharacteristic
40C4⋊C4×Dic47C2211yescharacteristic
41C4⋊C4×Dic47C2211yescharacteristic
42C4×Dic47⋊C4—21no—
43C4×C4⋊Dic47C2211yescharacteristic
44#15688974—21no—
45C4×(C2×D47)⋊C4—21no—
46#15688970—21no—
47#15688886C2211yescharacteristic
48#15688886C2211yescharacteristic
49#15688886C2211yescharacteristic
50#15688886C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C2×#124×C47C2211yescharacteristic
56C2×C4⋊C8×C47C2211yescharacteristic
57C2×#103×C47C2211yescharacteristic
58C2×#103×C47C2211yescharacteristic
59C2×#102×C47C2211yescharacteristic
60C2×#102×C47C2211yescharacteristic
61C4×C4⋊C4×C47C2211yescharacteristic
62C22×Dic94—21no—
63C22×C22⋊D47—21no—
64C23×Dic47—21no—
65C22×C4×D47—21no—
66C22×C4×D47C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69#13094024—22no—
70#13094024C2×C414yescomplemented
71#13094017—28no—
72#13094010—28no—
73#13094008—28no—
74#13094001—28no—
75#13094000—22no—
76#13094000C2×C414yes—
77#13093995—22no—
78#13093995C2×C414yes—
79Q8×Dic47—22no—
80Q8×Dic47C2×C414yescomplemented
81D4×Dic47—22no—
82D4×Dic47C2×C414yescomplemented
83#13093982—22no—
84#13093982—22no—
85#13093981C2×C414yes—
86#13093981D414yes—
87C2×C4⋊Dic47—21no—
88C2×C4⋊Dic47—21no—
89C2×C4⋊Dic47C2311yescharacteristic
90C2×C4⋊Dic47C2311yescharacteristic
91C2×C4⋊Dic47C2311yescharacteristic
92C2×C4⋊Dic47C2311yescharacteristic
93C2×Dic47⋊C4—21no—
94C2×Dic47⋊C4—21no—
95C2×Dic47⋊C4D411yescharacteristic
96C2×Dic47⋊C4D411yescharacteristic
97C4⋊C4×D47—22no—
98C4⋊C4×D47—22no—
99C2×C22⋊Dic47—21no—
100C2×C22⋊Dic47—21no—
101C2×(C2×D47)⋊C4—21no—
102C2×(C2×D47)⋊C4—21no—
103C2×(C2×D47)⋊C4D411yescharacteristic
104C2×(C2×D47)⋊C4D411yescharacteristic
105C2×C4×Dic47—21no—
106C2×C4×Dic47—21no—
107C2×C4×Dic47—21no—
108C2×C4×Dic47—21no—
109C2×C4×Dic47—21no—
110C2×C4×Dic47C2311yescharacteristic
111C4⋊(C47⋊C8)—22no—
112#13093948—22no—
113#13093948—22no—
114#13093945—22no—
115#13093945—22no—
116(C2×D47)⋊C8—22no—
117(C2×D47)⋊C8—22no—
118#13093934—22no—
119C8×Dic47—22no—
120C47⋊#95—21no—
121C47⋊#95—21no—
122C47⋊#95—21no—
123C22×Q8×C47C2311yescharacteristic
124C22×D4×C47C2311yescharacteristic
125C22×C8×C47C2311yescharacteristic
126C22×C8×C47C2311yescharacteristic
127#124×C47—22no—
128#124×C47C2×C414yescomplemented
129C2×C4⋊C4×C47C2311yescharacteristic
130C2×C4⋊C4×C47C2311yescharacteristic
131C2×C22⋊C4×C47—21no—
132C2×C22⋊C4×C47—21no—
133C2×C42×C47—21no—
134C2×C42×C47C2311yescharacteristic
135C4⋊C8×C47—22no—
136#103×C47—22no—
137#103×C47—22no—
138#102×C47—22no—
139#102×C47—22no—
140#95×C47—21no—
141C24×C47—21no—
142C23×D47C2×D411yescharacteristic
143C2×Q8×C47—21no—
144C2×Q8×C47—21no—
145C2×Q8×C47—21no—
146C2×Q8×C47—21no—
147C2×Q8×C47—21no—
148C2×Q8×C47C22×C412yes—
149C2×D4×C47—21no—
150C2×D4×C47—21no—
151C2×D4×C47—21no—
152C2×D4×C47—21no—
153C2×D4×C47—21no—
154C2×D4×C47C22×C412yes—
155C22×C4×C47—21no—
156C22×C4×C47—21no—
157C22×C4×C47—21no—
158C22×C4×C47C2×D411yescharacteristic
159C22×C4×C47C2×D411yescharacteristic
160C22×C4×C47C2411yescharacteristic
161C2×C22⋊D47—24no—
162C2×C22⋊D47—81no—
163C2×C22⋊D47—81no—
164C22×Dic47—21no—
165C22×Dic47—21no—
166C22×Dic47—21no—
167C22×Dic47—21no—
168C22×Dic47—24no—
169C22×Dic47—81no—
170C22×Dic47—81no—
171C22×Dic47C2×D411yescharacteristic
172C22×Dic47C2×D411yescharacteristic
173C22×Dic47C2×D411yescharacteristic
174C2×C4×D47—21no—
175C2×C4×D47—21no—
176C2×C4×D47—21no—
177C2×C4×D47—21no—
178C2×C4×D47—24no—
179C2×C4×D47—81no—
180C2×C4×D47—81no—
181C2×C4×D47C22×C412yes—
182C2×C4×D47C2×D412yes—
183C2×Dic94—24no—
184C2×Dic94—81no—
185C2×Dic94—81no—
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#4112yes—
195C4⋊C4×C47#4112yes—
196C22⋊C4×C47—24no—
197C22⋊C4×C47—24no—
198C42×C47—81no—
199C42×C47C22×C412yes—
200C42×C47C2×D412yes—
201C22⋊Dic47—24no—
202C22⋊Dic47—24no—
203(C2×D47)⋊C4—24no—
204(C2×D47)⋊C4—24no—
205(C2×D47)⋊C4C22⋊C414yes—
206(C2×D47)⋊C4C22⋊C414yes—
207C4⋊Dic47—24no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47—21no—
212C4⋊Dic47—24no—
213C4⋊Dic47C22×C412yes—
214C4⋊Dic47C22×C412yes—
215C4⋊Dic47#4112yes—
216C4⋊Dic47#4112yes—
217Dic47⋊C4—24no—
218Dic47⋊C4—24no—
219Dic47⋊C4C22⋊C414yes—
220Dic47⋊C4C22⋊C414yes—
221C4×Dic47—24no—
222C4×Dic47—24no—
223C4×Dic47—81no—
224C4×Dic47—81no—
225C4×Dic47—81no—
226C4×Dic47C22×C412yes—
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—22no—
235C23×C47—41no—
236C23×C47—41no—
237C23×C47—41no—
238C23×C47—41no—
239C23×C47—41no—
240C23×C47—41no—
241C23×C47C22×D411yescharacteristic
242C22×D47—21no—
243C22×D47—21no—
244C22×D47—21no—
245C22×D47—21no—
246C22×D47—21no—
247C22×D47—21no—
248C22×D47C2×C22⋊C412yes—
249Q8×C47—22no—
250Q8×C47—22no—
251Q8×C47—41no—
252Q8×C47—41no—
253D4×C47—22no—
254D4×C47—22no—
255D4×C47—41no—
256D4×C47—41no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—21no—
261C2×C4×C47—22no—
262C2×C4×C47—22no—
263C2×C4×C47—22no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47—41no—
269C2×C4×C47—41no—
270C2×C4×C47C2×C22⋊C412yes—
271C2×C4×C47C2×C22⋊C412yes—
272C2×C4×C47C23×C411yescharacteristic
273C2×C4×C47C22×D411yescharacteristic
274C2×C4×C47C2×#4111yescharacteristic
275C2×C4×C47C2×#4111yescharacteristic
276C2×C4×C47C2×#4111yescharacteristic
277C2×C4×C47C2×#4111yescharacteristic
278C22⋊D47—84no—
279C2×Dic47—21no—
280C2×Dic47—21no—
281C2×Dic47—21no—
282C2×Dic47—21no—
283C2×Dic47—21no—
284C2×Dic47—21no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47—41no—
293C2×Dic47—41no—
294C2×Dic47—41no—
295C2×Dic47—41no—
296C2×Dic47—41no—
297C2×Dic47—84no—
298C2×Dic47C2×C22⋊C412yes—
299C2×Dic47C2×C22⋊C412yes—
300C2×Dic47C2×C22⋊C412yes—
301C4×D47—22no—
302C4×D47—22no—
303C4×D47—22no—
304C4×D47—22no—
305C4×D47—84no—
306Dic94—84no—
307C8×C47—41no—
308C8×C47—41no—
309C47⋊C8—41no—
310C47⋊C8—41no—
311#21397—471nomaximal, Sylow
312C22×C47—42no—
313C22×C47—42no—
314C22×C47—42no—
315C22×C47—81no—
316C22×C47—81no—
317C22×C47—81no—
318C22×C47—81no—
319C22×C47C22×C22⋊C411yescharacteristic
320C22×C47#52511yescharacteristic
321C22×C47#52511yescharacteristic
322C22×C47#57611yescharacteristic
323C22×C47#57711yescharacteristic
324C22×C47#57711yescharacteristic
325C22×C47#57811yescharacteristic
326C2×D47—22no—
327C2×D47—22no—
328C2×D47—22no—
329C2×D47—41no—
330C2×D47—41no—
331C2×D47—41no—
332C2×D47—41no—
333C4×C47—22no—
334C4×C47—22no—
335C4×C47—42no—
336C4×C47—42no—
337C4×C47—42no—
338C4×C47C4×#4111yescharacteristic
339C4×C47C4×#4111yescharacteristic
340C4×C47#53211yescharacteristic
341C4×C47#53211yescharacteristic
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#1983D4711yescharacteristic, complemented
356#1875—471no—
357#1874—471no—
358#1873—471no—
359#1872—471no—
360#1763—471no—
361#1762—471no—
362C4×#103—471no—
363C4×#102—471no—
364C2×C47—82no—
365C2×C47#229711yescharacteristic
366C2×C47#289711yescharacteristic
367C2×C47#289811yescharacteristic
368C2×C47#311811yescharacteristic
369C2×C47#312111yescharacteristic
370C2×C47#312411yescharacteristic
371C2×C47#312511yescharacteristic
372D47—42no—
373#542—478no—
374#542—944no—
375C2×C4⋊Q8—471no—
376C2×#126—941no—
377C2×#124—941no—
378C2×#124C2×D4711yescharacteristic
379C2×#123—941no—
380C2×C22⋊Q8—471no—
381C2×C22⋊Q8—941no—
382C2×#121—471no—
383C2×C4×Q8—471no—
384C2×C4×D4—471no—
385C2×#117—471no—
386C2×#117—471no—
387C22×C4⋊C4—471no—
388#433—944no—
389C2×C4⋊C8—471no—
390C2×C4⋊C8C2×D4711yescharacteristic
391C2×#103—471no—
392C2×#103—471no—
393C2×#103C2×D4711yescharacteristic
394C2×#103C2×D4711yescharacteristic
395C2×#102—471no—
396C2×#102—471no—
397C2×#102C2×D4711yescharacteristic
398C2×#102C2×D4711yescharacteristic
399C2×C22⋊C8—471no—
400C2×C22⋊C8—471no—
401C2×#97—471no—
402C2×C4×C8—471no—
403C4×C4⋊C4—471no—
404C4×C4⋊C4—471no—
405C4×C4⋊C4—471no—
406C4×C4⋊C4—941no—
407C4×C4⋊C4—941no—
408C4×C4⋊C4C2×D4711yescharacteristic
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#340—471no—
418#340—471no—
419C47#2139711yescharacteristic, complemented, Sylow
420C22×Q8—941no—
421C22×Q8C22×D4711yescharacteristic
422C22×D4—941no—
423C22×D4C22×D4711yescharacteristic
424C23×C4—471no—
425C23×C4—941no—
426C23×C4—941no—
427C22×C8—471no—
428C22×C8—471no—
429C22×C8C22×D4711yescharacteristic
430C22×C8C22×D4711yescharacteristic
431C4⋊Q8—474no—
432C4⋊Q8—942no—
433#126—948no—
434#124—22no—
435#124—948no—
436#124C4×D4714yescomplemented
437#123—948no—
438C22⋊Q8—474no—
439C22⋊Q8—948no—
440C22⋊Q8—942no—
441#121—474no—
442#121—942no—
443C4×Q8—474no—
444C4×Q8—942no—
445C4×D4—474no—
446C4×D4—942no—
447#117—474no—
448#117—474no—
449#117—942no—
450#117—942no—
451C2×C4⋊C4—471no—
452C2×C4⋊C4—471no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—471no—
456C2×C4⋊C4—471no—
457C2×C4⋊C4—942no—
458C2×C4⋊C4—941no—
459C2×C4⋊C4—941no—
460C2×C4⋊C4—941no—
461C2×C4⋊C4—941no—
462C2×C4⋊C4—942no—
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—941no—
476C2×C42—941no—
477C2×C42—941no—
478C2×C42—941no—
479C2×C42—941no—
480C2×C42C22×D4711yescharacteristic
481C4⋊C8—22no—
482C4⋊C8—942no—
483#103—22no—
484#103—22no—
485#103—942no—
486#103—942no—
487#102—22no—
488#102—22no—
489#102—942no—
490#102—942no—
491C22⋊C8—942no—
492C22⋊C8—942no—
493#97—942no—
494C4×C8—942no—
495#95—21no—
496#95—941no—
497#95—941no—
498#95—941no—
499C24—21no—
500C24—471no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—944no—
507C2×Q8—3761no—
508C2×Q8—3761no—
509C2×Q8C2×C4×D4712yes—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—944no—
516C2×D4—3761no—
517C2×D4—3761no—
518C2×D4C2×C4×D4712yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—471no—
523C22×C4—471no—
524C22×C4—471no—
525C22×C4—472no—
526C22×C4—472no—
527C22×C4—944no—
528C22×C4—944no—
529C22×C4—941no—
530C22×C4—941no—
531C22×C4—941no—
532C22×C4—941no—
533C22×C4—941no—
534C22×C4—941no—
535C22×C4—941no—
536C22×C4—941no—
537C22×C4—3761no—
538C22×C4—3761no—
539C22×C4—3761no—
540C22×C4—3761no—
541C22×C4D4×D4711yescharacteristic
542C22×C4D4×D4711yescharacteristic
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—474no—
559C4⋊C4—474no—
560C4⋊C4—472no—
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⋊C4—941no—
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—81no—
583C42—472no—
584C42—472no—
585C42—944no—
586C42—944no—
587C42—3761no—
588C42—3761no—
589C42—3761no—
590C42C2×C4×D4712yes—
591C42D4×D4712yes—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—472no—
600C23—941no—
601C23—941no—
602C23—941no—
603C23—941no—
604C23—941no—
605C23—941no—
606C23C2×D4×D4711yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—3764no—
612D4—22no—
613D4—22no—
614D4—41no—
615D4—41no—
616D4—3764no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—472no—
631C2×C4—472no—
632C2×C4—472no—
633C2×C4—941no—
634C2×C4—941no—
635C2×C4—941no—
636C2×C4—941no—
637C2×C4—941no—
638C2×C4—941no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—942no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—3764no—
648C2×C4—3764no—
649C2×C4—1881no—
650C2×C4—1881no—
651C2×C4—1881no—
652C2×C4—1881no—
653C2×C4—1881no—
654C2×C4—1881no—
655C2×C4—1881no—
656C2×C4—1881no—
657C2×C4C22⋊C4×D4712yes—
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—42no—
670C22—42no—
671C22—42no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—942no—
677C22—942no—
678C22—942no—
679C22—1881no—
680C22—1881no—
681C22—1881no—
682C22—1881no—
683C22C2×C22⋊C4×D4711yescharacteristic
684C22#1568963311yescharacteristic
685C22#1568963311yescharacteristic
686C22#1568992511yescharacteristic
687C22#1568993011yescharacteristic
688C22#1568993311yescharacteristic
689C22#1568993911yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—942no—
696C4—942no—
697C4—942no—
698C4—1882no—
699C4—1882no—
700C4—1882no—
701C4—1882no—
702C4C4×#1062535211yescharacteristic
703C4C4×#1062535211yescharacteristic
704C4#1568967111yescharacteristic
705C4#1568967211yescharacteristic
706C2—82no—
707C2—1882no—
708C2#2024587511yescharacteristic
709C2#2025191011yescharacteristic
710C2#2025191911yescharacteristic
711C2#2025356911yescharacteristic
712C2#2025361411yescharacteristic
713C2#2025364911yescharacteristic
714C2#2025366211yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1983C2
socleC23×C47C22×D4
prime radicalC2×#13093995C22
cosocleC22×C4×C47C24
hypercenter#1983D47
hypocenterC47#21397
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1983

Complements

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

NH ≅ G/Ntype
2. C2×#15689183C2semidirect
3. #20245742C2semidirect
4. #20244339C2semidirect
5. #20244336C2semidirect
6. #20244321C2semidirect
9. #20243697C2semidirect
10. #20243692C2semidirect
11. #20243220C2semidirect
12. #20243215C2semidirect
13. #103×Dic47C2semidirect
14. #102×Dic47C2semidirect
15. C47×#1983C2semidirect
17. #15689742C4semidirect
70. #13094024C2×C4semidirect
80. Q8×Dic47C2×C4semidirect
82. D4×Dic47C2×C4semidirect
128. #124×C47C2×C4semidirect
355. #1983D47semidirect
419. C47#21397semidirect
436. #124C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897422
C2×#156891832
#202457422
#202443392
#202443362
#202443212
#202437072
#202437022
#202436972
#202436922
#202432202
#202432152
#103×Dic472
#102×Dic472
C47×#19832
#2139747