Finite Group Databasebeta

← #26232500

Subgroups — #26232500

Order 12032.

1162 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689814C211yesmaximal, characteristic
2C2×#15689188C211yesmaximal, characteristic
3#20246314C211yesmaximal, characteristic
4#20244352C211yesmaximal, characteristic, complemented
5#20244343C211yesmaximal, characteristic, complemented
6#20243808C211yesmaximal, characteristic, complemented
7#20243808C211yesmaximal, characteristic, complemented
8#20243697C211yesmaximal, characteristic, complemented
9#20243692C211yesmaximal, characteristic, complemented
10#20243481C211yesmaximal, characteristic, complemented
11#20243473C211yesmaximal, characteristic, complemented
12C4×#13093948C211yesmaximal, characteristic, complemented
13#20243103C211yesmaximal, characteristic, complemented
14#340×D47C211yesmaximal, characteristic, complemented
15C47×#1805C211yesmaximal, characteristic, complemented
16C22×C8×D47C2211yescharacteristic
17C22×C8×D47C2211yescharacteristic
18#15689814—24no—
19#15689814C418yescomplemented
20C2×#13094018—21no—
21C2×#13094016C2211yescharacteristic
22C2×#13094014—21no—
23C2×#13094009—21no—
24C2×#13094000C2211yescharacteristic
25C2×#13094000C2211yescharacteristic
26C2×C4×D188C2211yescharacteristic
27C2×#13093982C2211yescharacteristic
28C2×#13093982C2211yescharacteristic
29C2×#13093981—21no—
30C2×C4⋊C4×D47C2211yescharacteristic
31C2×C4⋊C4×D47C2211yescharacteristic
32#15689188—24no—
33C2×#13093948C2211yescharacteristic
34C2×#13093948C2211yescharacteristic
35C2×(C2×D47)⋊C8C2211yescharacteristic
36C2×(C2×D47)⋊C8C2211yescharacteristic
37C2×C4×C47⋊C8C2211yescharacteristic
38#15689012—21no—
39#15689006—21no—
40#15689001—21no—
41#15688980C2211yescharacteristic
42#15688980C2211yescharacteristic
43C4×C4⋊Dic47C2211yescharacteristic
44#15688970—21no—
45#15688886C2211yescharacteristic
46#15688886C2211yescharacteristic
47#15688886C2211yescharacteristic
48#15688886C2211yescharacteristic
49#15688885C2211yescharacteristic
50#15688885C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53#15688885C2211yescharacteristic
54#15688885C2211yescharacteristic
55C2×C4×Q8×C47C2211yescharacteristic
56C2×C4⋊C8×C47C2211yescharacteristic
57C2×#103×C47C2211yescharacteristic
58C2×#103×C47C2211yescharacteristic
59C47×#382C2211yescharacteristic
60C47×#340C2211yescharacteristic
61C47×#340C2211yescharacteristic
62C22×D188D411yescharacteristic
63C22×C4×D47—21no—
64C22×C4×D47—21no—
65C22×C4×D47C2311yescharacteristic
66C22×C4×D47C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C2×C8×D47—22no—
70C2×C8×D47—22no—
71C2×C8×D47—22no—
72C2×C8×D47—22no—
73C2×C8×D47—41no—
74C2×C8×D47—41no—
75#13094018—28no—
76#13094016—22no—
77#13094016C2×C414yescomplemented
78#13094014—28no—
79#13094009—28no—
80#13094000—22no—
81#13094000—22no—
82#13094000C2×C414yes—
83#13094000C2×C414yescomplemented
84C4×D188C2×C414yes—
85C4×D188D414yes—
86#13093982—22no—
87#13093982—22no—
88#13093982—41no—
89#13093982C2×C414yescomplemented
90#13093981—28no—
91C2×C4⋊Dic47D411yescharacteristic
92C2×C4⋊Dic47C2311yescharacteristic
93C2×C4⋊Dic47C2311yescharacteristic
94C2×C4⋊Dic47C2311yescharacteristic
95C2×C4⋊Dic47C2311yescharacteristic
96C2×Dic47⋊C4—21no—
97C2×Dic47⋊C4—21no—
98C2×Dic47⋊C4—21no—
99C2×Dic47⋊C4—21no—
100C2×Dic47⋊C4—21no—
101C2×Dic47⋊C4—21no—
102C4⋊C4×D47—22no—
103C4⋊C4×D47—22no—
104C4⋊C4×D47—41no—
105C4⋊C4×D47C2×C414yes—
106C2×(C2×D47)⋊C4—21no—
107C2×(C2×D47)⋊C4—21no—
108C2×(C2×D47)⋊C4—21no—
109C2×(C2×D47)⋊C4—21no—
110C2×(C2×D47)⋊C4—21no—
111C2×(C2×D47)⋊C4—21no—
112C2×(C2×D47)⋊C4D411yescharacteristic
113C2×(C2×D47)⋊C4D411yescharacteristic
114C2×C4×Dic47—21no—
115C2×C4×Dic47—21no—
116C2×C4×Dic47—21no—
117#13093948—22no—
118#13093948—22no—
119(C2×D47)⋊C8—22no—
120(C2×D47)⋊C8—22no—
121C4×C47⋊C8—22no—
122C47⋊#95—21no—
123C47⋊#95—21no—
124C47⋊#95—21no—
125C22×Q8×C47C2311yescharacteristic
126C22×C8×C47C2311yescharacteristic
127C22×C8×C47C2311yescharacteristic
128C4×Q8×C47—22no—
129C4×Q8×C47C2×C414yescomplemented
130C2×C4⋊C4×C47—21no—
131C2×C4⋊C4×C47C2311yescharacteristic
132C2×C4⋊C4×C47C2311yescharacteristic
133C2×C4⋊C4×C47C2311yescharacteristic
134C2×C42×C47—21no—
135C2×C42×C47C2311yescharacteristic
136C4⋊C8×C47—22no—
137#103×C47—41no—
138#103×C47—41no—
139#95×C47—21no—
140#95×C47—21no—
141C23×D47C2×D411yescharacteristic
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—
149C22×C4×C47—21no—
150C22×C4×C47—21no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47C2×D411yescharacteristic
154C22×C4×C47C2×D411yescharacteristic
155C22×C4×C47C2411yescharacteristic
156C22×Dic47—21no—
157C22×Dic47—21no—
158C22×Dic47—21no—
159C22×Dic47—21no—
160C22×Dic47C2×D411yescharacteristic
161C22×Dic47C2×D411yescharacteristic
162C2×D188—22no—
163C2×D188—22no—
164C2×D188C22⋊C414yes—
165C2×C4×D47—21no—
166C2×C4×D47—21no—
167C2×C4×D47—21no—
168C2×C4×D47—21no—
169C2×C4×D47—21no—
170C2×C4×D47—21no—
171C2×C4×D47—21no—
172C2×C4×D47—21no—
173C2×C4×D47—24no—
174C2×C4×D47—42no—
175C2×C4×D47—42no—
176C2×C4×D47—42no—
177C2×C4×D47—42no—
178C2×C4×D47—81no—
179C2×C4×D47C22×C412yes—
180C2×C4×D47C22×C412yes—
181C2×C4×D47C2×D412yes—
182C2×C4×D47C2×D412yes—
183C2×C8×C47—21no—
184C2×C8×C47—21no—
185C2×C8×C47—21no—
186C2×C8×C47—21no—
187C2×C8×C47—21no—
188C2×C8×C47—21no—
189C4⋊C4×C47—24no—
190C4⋊C4×C47—21no—
191C4⋊C4×C47—21no—
192C4⋊C4×C47—21no—
193C4⋊C4×C47—21no—
194C4⋊C4×C47—21no—
195C4⋊C4×C47C22×C412yes—
196C42×C47—24no—
197C42×C47C22×C412yes—
198C42×C47C2×D412yes—
199(C2×D47)⋊C4—24no—
200(C2×D47)⋊C4—24no—
201(C2×D47)⋊C4—24no—
202(C2×D47)⋊C4—42no—
203(C2×D47)⋊C4—42no—
204(C2×D47)⋊C4—81no—
205(C2×D47)⋊C4C22⋊C414yes—
206(C2×D47)⋊C4C22⋊C414yes—
207C4⋊Dic47—21no—
208C4⋊Dic47—21no—
209C4⋊Dic47—21no—
210C4⋊Dic47—21no—
211C4⋊Dic47—21no—
212C4⋊Dic47C22⋊C414yes—
213C4⋊Dic47C22×C412yes—
214C4⋊Dic47C22×C412yes—
215C4⋊Dic47#4112yes—
216Dic47⋊C4—24no—
217Dic47⋊C4—24no—
218Dic47⋊C4—24no—
219Dic47⋊C4—24no—
220Dic47⋊C4—24no—
221Dic47⋊C4—42no—
222C4×Dic47—24no—
223C4×Dic47—42no—
224C4×Dic47—81no—
225C2×C47⋊C8—21no—
226C2×C47⋊C8—21no—
227C2×C47⋊C8—21no—
228C2×C47⋊C8—21no—
229C2×C47⋊C8—21no—
230C2×C47⋊C8#4112yes—
231C8×D47—44no—
232C8×D47—44no—
233C23×C47C22×D411yescharacteristic
234C22×D47—21no—
235C22×D47—21no—
236C22×D47—21no—
237C22×D47—21no—
238C22×D47—21no—
239C22×D47—21no—
240C22×D47—21no—
241C22×D47—21no—
242C22×D47—21no—
243C22×D47—21no—
244C22×D47C2×C22⋊C412yes—
245C22×D47C2×C22⋊C412yes—
246C22×D47#13512yes—
247C22×D47#13512yes—
248Q8×C47—22no—
249Q8×C47—22no—
250Q8×C47—41no—
251Q8×C47—41no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—21no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—41no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—41no—
266C2×C4×C47—41no—
267C2×C4×C47—41no—
268C2×C4×C47C2×C22⋊C412yes—
269C2×C4×C47C2×C22⋊C412yes—
270C2×C4×C47C23×C411yescharacteristic
271C2×C4×C47C22×D411yescharacteristic
272C2×C4×C47C2×#4111yescharacteristic
273C2×C4×C47C2×#4111yescharacteristic
274C2×C4×C47H(5,𝔽2)11yescharacteristic
275C2×C4×C472−1+411yescharacteristic
276C2×Dic47—21no—
277C2×Dic47—21no—
278C2×Dic47—21no—
279C2×Dic47—21no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—41no—
284C2×Dic47—41no—
285C2×Dic47—41no—
286C2×Dic47—41no—
287C2×Dic47—41no—
288C2×Dic47—41no—
289C2×Dic47—41no—
290C2×Dic47—41no—
291C2×Dic47—41no—
292C2×Dic47C2×C22⋊C412yes—
293C2×Dic47C2×C22⋊C412yes—
294D188—28no—
295C4×D47—22no—
296C4×D47—22no—
297C4×D47—22no—
298C4×D47—22no—
299C4×D47—22no—
300C4×D47—22no—
301C4×D47—22no—
302C4×D47—22no—
303C4×D47—48no—
304C4×D47—84no—
305C8×C47—41no—
306C8×C47—41no—
307C47⋊C8—22no—
308C47⋊C8—41no—
309#22486—471nomaximal, Sylow
310C22×C47C22×C22⋊C411yescharacteristic
311C22×C47#54611yescharacteristic
312C22×C47#54711yescharacteristic
313C22×C47C2×#13511yescharacteristic
314C22×C47C2×#13511yescharacteristic
315C22×C47#57711yescharacteristic
316C22×C47#57811yescharacteristic
317C2×D47—22no—
318C2×D47—22no—
319C2×D47—22no—
320C2×D47—22no—
321C2×D47—22no—
322C2×D47—22no—
323C2×D47—22no—
324C2×D47—22no—
325C2×D47—22no—
326C2×D47—41no—
327C2×D47—41no—
328C2×D47—41no—
329C2×D47—41no—
330C2×D47#41614yes—
331C4×C47—22no—
332C4×C47—22no—
333C4×C47—42no—
334C4×C47—42no—
335C4×C47—81no—
336C4×C47—81no—
337C4×C47C4×#4111yescharacteristic
338C4×C47#52011yescharacteristic
339C4×C47#54611yescharacteristic
340C4×C47#54711yescharacteristic
341Dic47—22no—
342Dic47—22no—
343Dic47—42no—
344Dic47—42no—
345Dic47—42no—
346Dic47—81no—
347C2×#552—471no—
348C2×C8×D4—471no—
349#2352—471no—
350#1991—471no—
351#1989—471no—
352#1892—471no—
353#1892—471no—
354#1873—471no—
355#1872—471no—
356#1825—471no—
357#1823—471no—
358#1805D4711yescharacteristic, complemented
359C4×#103—471no—
360#1735—471no—
361C2×#340—471no—
362C2×C47#233911yescharacteristic
363C2×C47C2×#41611yescharacteristic
364C2×C47#289811yescharacteristic
365C2×C47#329611yescharacteristic
366C2×C47#330011yescharacteristic
367C2×C47#333611yescharacteristic
368C2×C47#333711yescharacteristic
369D47—24no—
370D47—42no—
371C23×C8—471no—
372C23×C8—471no—
373#552—478no—
374#552—944no—
375C2×#126—941no—
376C2×#125—471no—
377C2×#125—941no—
378C2×#123—941no—
379C2×C22⋊Q8—471no—
380C2×C22⋊Q8—471no—
381C2×C4×Q8C2×D4711yescharacteristic
382C2×C4×D4—471no—
383C2×#117—471no—
384C2×#117—471no—
385C2×#117—941no—
386C22×C4⋊C4—471no—
387C22×C4⋊C4—471no—
388C8×D4—944no—
389C2×C4⋊C8C2×D4711yescharacteristic
390C2×#103—471no—
391C2×#103—471no—
392C2×#103C2×D4711yescharacteristic
393C2×#103C2×D4711yescharacteristic
394C2×C22⋊C8—471no—
395C2×C22⋊C8—471no—
396C2×C4×C8—471no—
397#388—941no—
398#387—941no—
399#386—941no—
400#382C2×D4711yescharacteristic
401#380—471no—
402#380—471no—
403C4×C4⋊C4—471no—
404C4×C22⋊C4—941no—
405#340—471no—
406#340—471no—
407#340—471no—
408#340—471no—
409#340—471no—
410#340—471no—
411#340—471no—
412#340—471no—
413#340—471no—
414#340—471no—
415#340C2×D4711yescharacteristic
416#340C2×D4711yescharacteristic
417C47#2248611yescharacteristic, complemented, Sylow
418C22×Q8C22×D4711yescharacteristic
419C22×D4—471no—
420C23×C4—471no—
421C23×C4—471no—
422C23×C4—941no—
423C23×C4—941no—
424C22×C8—471no—
425C22×C8—471no—
426C22×C8—942no—
427C22×C8—942no—
428C22×C8—942no—
429C22×C8—942no—
430C22×C8—1881no—
431C22×C8—1881no—
432C22×C8C22×D4711yescharacteristic
433C22×C8C22×D4711yescharacteristic
434#126—948no—
435#125—474no—
436#125—948no—
437#125—942no—
438#123—948no—
439C22⋊Q8—474no—
440C22⋊Q8—474no—
441C22⋊Q8—942no—
442C22⋊Q8—942no—
443C4×Q8—22no—
444C4×Q8C4×D4714yescomplemented
445C4×D4—474no—
446C4×D4—474no—
447#117—474no—
448#117—948no—
449#117—942no—
450#117—942no—
451#117—1881no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—471no—
454C2×C4⋊C4—471no—
455C2×C4⋊C4—471no—
456C2×C4⋊C4—471no—
457C2×C4⋊C4—474no—
458C2×C4⋊C4—471no—
459C2×C4⋊C4—942no—
460C2×C4⋊C4—942no—
461C2×C4⋊C4—941no—
462C2×C4⋊C4—941no—
463C2×C4⋊C4—941no—
464C2×C4⋊C4—941no—
465C2×C4⋊C4—941no—
466C2×C4⋊C4—941no—
467C2×C4⋊C4—1881no—
468C2×C4⋊C4C22×D4711yescharacteristic
469C2×C4⋊C4C22×D4711yescharacteristic
470C2×C4⋊C4C22×D4711yescharacteristic
471C2×C22⋊C4—471no—
472C2×C22⋊C4—471no—
473C2×C22⋊C4—941no—
474C2×C22⋊C4—941no—
475C2×C22⋊C4—941no—
476C2×C22⋊C4—941no—
477C2×C22⋊C4—941no—
478C2×C22⋊C4—941no—
479C2×C42—21no—
480C2×C42—941no—
481C2×C42—941no—
482C2×C42—941no—
483C2×C42C22×D4711yescharacteristic
484C4⋊C8—22no—
485#103—41no—
486#103—41no—
487#103—942no—
488#103—942no—
489C22⋊C8—942no—
490C22⋊C8—942no—
491C4×C8—942no—
492#95—21no—
493#95—21no—
494#95—941no—
495#95—941no—
496#95—941no—
497C24—471no—
498C24—471no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8C2×C4×D4712yes—
505C2×D4—474no—
506C2×D4—942no—
507C2×D4—942no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—471no—
513C22×C4—471no—
514C22×C4—472no—
515C22×C4—472no—
516C22×C4—472no—
517C22×C4—472no—
518C22×C4—944no—
519C22×C4—941no—
520C22×C4—941no—
521C22×C4—941no—
522C22×C4—941no—
523C22×C4—941no—
524C22×C4—941no—
525C22×C4—941no—
526C22×C4—941no—
527C22×C4—941no—
528C22×C4—941no—
529C22×C4—941no—
530C22×C4—941no—
531C22×C4—3761no—
532C22×C4—1882no—
533C22×C4—1882no—
534C22×C4—1882no—
535C22×C4—1882no—
536C22×C4D4×D4711yescharacteristic
537C22×C4D4×D4711yescharacteristic
538C22×C4C23×D4711yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—472no—
546C2×C8—941no—
547C2×C8—941no—
548C2×C8—941no—
549C2×C8—941no—
550C2×C8—941no—
551C2×C8—1884no—
552C2×C8—1884no—
553C4⋊C4—24no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—474no—
560C4⋊C4—472no—
561C4⋊C4—472no—
562C4⋊C4—472no—
563C4⋊C4—944no—
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—941no—
573C4⋊C4—1882no—
574C4⋊C4C2×C4×D4712yes—
575C22⋊C4—474no—
576C22⋊C4—474no—
577C22⋊C4—944no—
578C22⋊C4—944no—
579C22⋊C4—944no—
580C22⋊C4—3761no—
581C22⋊C4—1882no—
582C22⋊C4—1882no—
583C42—24no—
584C42—944no—
585C42—3761no—
586C42—1882no—
587C42C2×C4×D4712yes—
588C42D4×D4712yes—
589C23—472no—
590C23—472no—
591C23—472no—
592C23—472no—
593C23—941no—
594C23—941no—
595C23—941no—
596C23—941no—
597C23—941no—
598C23—941no—
599C23—941no—
600C23—941no—
601C23—941no—
602C23—941no—
603C23C2×D4×D4711yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—948no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—472no—
626C2×C4—472no—
627C2×C4—941no—
628C2×C4—941no—
629C2×C4—941no—
630C2×C4—941no—
631C2×C4—942no—
632C2×C4—942no—
633C2×C4—942no—
634C2×C4—942no—
635C2×C4—942no—
636C2×C4—942no—
637C2×C4—942no—
638C2×C4—942no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—942no—
642C2×C4—3764no—
643C2×C4—1888no—
644C2×C4—1881no—
645C2×C4—1881no—
646C2×C4—1881no—
647C2×C4—1881no—
648C2×C4—1881no—
649C2×C4—1881no—
650C2×C4—1881no—
651C2×C4—1881no—
652C2×C4—1881no—
653C2×C4C22⋊C4×D4712yes—
654C2×C4C22⋊C4×D4712yes—
655C2×C4C22×C4×D4711yescharacteristic
656C2×C4C2×D4×D4711yescharacteristic
657C2×C4#41×D4711yescharacteristic
658C2×C4#41×D4711yescharacteristic
659C2×C4#1309406911yescharacteristic
660C2×C4#1309407211yescharacteristic
661C8—41no—
662C8—41no—
663C8—942no—
664C8—1881no—
665C22—474no—
666C22—942no—
667C22—942no—
668C22—942no—
669C22—942no—
670C22—942no—
671C22—942no—
672C22—942no—
673C22—942no—
674C22—942no—
675C22—1881no—
676C22—1881no—
677C22—1881no—
678C22—1881no—
679C22C2×C22⋊C4×D4711yescharacteristic
680C22#1568977011yescharacteristic
681C22#1568977511yescharacteristic
682C22#135×D4711yescharacteristic
683C22#135×D4711yescharacteristic
684C22#1568993211yescharacteristic
685C22#1568993911yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—81no—
692C4—942no—
693C4—942no—
694C4—3761no—
695C4—1882no—
696C4—1882no—
697C4—1882no—
698C4#1568959111yescharacteristic
699C4#1568960411yescharacteristic
700C4#1568977011yescharacteristic
701C4#1568977511yescharacteristic
702C2—944no—
703C2—1882no—
704C2#2024621611yescharacteristic
705C2#416×D4711yescharacteristic
706C2#2025192011yescharacteristic
707C2#2025523011yescharacteristic
708C2#2025528211yescharacteristic
709C2#2025575311yescharacteristic
710C2#2025576411yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC47×#1805C2
socleC23×C47C22×D4
prime radicalC22×D188D4
cosocleC22×C4×C47C24
hypercenter#1805D47
hypocenterC47#22486
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1805

Complements

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

NH ≅ G/Ntype
4. #20244352C2semidirect
5. #20244343C2semidirect
6. #20243808C2semidirect
7. #20243808C2semidirect
8. #20243697C2semidirect
9. #20243692C2semidirect
10. #20243481C2semidirect
11. #20243473C2semidirect
12. C4×#13093948C2semidirect
13. #20243103C2semidirect
14. #340×D47C2semidirect
15. C47×#1805C2semidirect
19. #15689814C4semidirect
77. #13094016C2×C4semidirect
83. #13094000C2×C4semidirect
89. #13093982C2×C4semidirect
129. C4×Q8×C47C2×C4semidirect
358. #1805D47semidirect
417. C47#22486semidirect
444. C4×Q8C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156898142
C2×#156891882
#202463142
#202443522
#202443432
#202438082
#202436972
#202436922
#202434812
#202434732
C4×#130939482
#202431032
#340×D472
C47×#18052
#2248647