Finite Group Databasebeta

← #26123240

Subgroups — #26123240

Order 12032.

1238 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093945C211yesmaximal, characteristic
2C2×#15689026C211yesmaximal, characteristic
3C2×#15688988C211yesmaximal, characteristic, complemented
4C2×#15688886C211yesmaximal, characteristic, complemented
5C2×#15688885C211yesmaximal, characteristic, complemented
6C2×#15688877C211yesmaximal, characteristic, complemented
7C22×#102×C47C211yesmaximal, characteristic
8C23×C47⋊C8C2211yescharacteristic
9C22×C4⋊Dic47C2211yescharacteristic
10C22×C4⋊Dic47C2211yescharacteristic
11C22×C22⋊Dic47—22no—
12C22×C4×Dic47C2211yescharacteristic
13C2×#13093945—22no—
14C2×#13093945—22no—
15C2×#13093945—22no—
16#15689026—22no—
17#15689026C414yescomplemented
18#15688988—22no—
19#15688988—22no—
20C2×C47⋊#95—22no—
21#15688886—22no—
22#15688885—22no—
23#15688877—22no—
24C23×D4×C47C2211yescharacteristic
25C23×C8×C47C2211yescharacteristic
26C22×C4⋊C4×C47C2211yescharacteristic
27C2×#102×C47—22no—
28C2×#102×C47—22no—
29C2×#102×C47—22no—
30C23×Dic47—21no—
31C23×Dic47—21no—
32C23×Dic47D412yes—
33C22×C47⋊C8—21no—
34C22×C47⋊C8—21no—
35C22×C47⋊C8—21no—
36C22×C47⋊C8—21no—
37C22×C47⋊C8—21no—
38C22×C47⋊C8—21no—
39C22×C47⋊C8D412yes—
40C2×C4⋊Dic47—21no—
41C2×C4⋊Dic47—21no—
42C2×C4⋊Dic47—21no—
43C2×C4⋊Dic47—21no—
44C2×C4⋊Dic47—21no—
45C2×C4⋊Dic47—21no—
46C2×C4⋊Dic47—21no—
47C2×C4⋊Dic47—21no—
48C2×C4⋊Dic47—21no—
49C2×C4⋊Dic47—21no—
50C2×C4⋊Dic47C2×C412yes—
51C2×C4⋊Dic47D412yes—
52C2×C22⋊Dic47—28no—
53C2×C22⋊Dic47—44no—
54C2×C22⋊Dic47—44no—
55C2×C4×Dic47—21no—
56C2×C4×Dic47—21no—
57C2×C4×Dic47—21no—
58C2×C4×Dic47—21no—
59C2×C4×Dic47C2×C412yes—
60C2×C4×Dic47D412yes—
61#13093945—28no—
62C47⋊#95—28no—
63C25×C47—21no—
64C22×D4×C47—21no—
65C22×D4×C47—21no—
66C22×D4×C47—21no—
67C22×D4×C47—21no—
68C22×D4×C47—21no—
69C22×D4×C47—21no—
70C22×D4×C47—21no—
71C22×D4×C47—21no—
72C22×D4×C47—21no—
73C22×D4×C47—21no—
74C22×D4×C47—21no—
75C22×D4×C47C2×C412yes—
76C22×D4×C47D412yes—
77C22×D4×C47Q812yes—
78C23×C4×C47—21no—
79C23×C4×C47C2311yescharacteristic
80C22×C8×C47—21no—
81C22×C8×C47—21no—
82C22×C8×C47—21no—
83C22×C8×C47—21no—
84C22×C8×C47—21no—
85C22×C8×C47—21no—
86C22×C8×C47D412yes—
87C2×C4⋊C4×C47—21no—
88C2×C4⋊C4×C47—21no—
89C2×C4⋊C4×C47—21no—
90C2×C4⋊C4×C47—21no—
91C2×C4⋊C4×C47—21no—
92C2×C4⋊C4×C47D412yes—
93#102×C47—28no—
94C24×C47—22no—
95C24×C47—22no—
96C24×C47—22no—
97C24×C47—41no—
98C24×C47—41no—
99C24×C47—41no—
100C24×C47—41no—
101C24×C47—42no—
102C24×C47—42no—
103C24×C47—42no—
104C24×C47—42no—
105C24×C47C2×D411yescharacteristic
106C2×D4×C47—22no—
107C2×D4×C47—22no—
108C2×D4×C47—22no—
109C2×D4×C47—22no—
110C2×D4×C47—22no—
111C2×D4×C47—22no—
112C2×D4×C47—22no—
113C2×D4×C47—22no—
114C2×D4×C47—22no—
115C2×D4×C47—22no—
116C2×D4×C47—22no—
117C2×D4×C47—22no—
118C2×D4×C47—22no—
119C2×D4×C47—22no—
120C2×D4×C47—22no—
121C2×D4×C47—41no—
122C2×D4×C47—41no—
123C2×D4×C47—41no—
124C2×D4×C47—41no—
125C2×D4×C47—41no—
126C2×D4×C47—41no—
127C2×D4×C47—41no—
128C2×D4×C47—41no—
129C2×D4×C47—41no—
130C2×D4×C47—41no—
131C2×D4×C47—41no—
132C2×D4×C47—41no—
133C2×D4×C47C4⋊C414yes—
134C22×C4×C47—22no—
135C22×C4×C47—41no—
136C22×C4×C47—41no—
137C22×C4×C47—42no—
138C22×C4×C47—42no—
139C22×C4×C47C22×C411yescharacteristic
140C22×C4×C47C2×D411yescharacteristic
141C22×C4×C47C2×D411yescharacteristic
142C22×C4×C47C2×D411yescharacteristic
143C22×C4×C47C2×D411yescharacteristic
144C22×C4×C47C2×D411yescharacteristic
145C22×C4×C47C2×D411yescharacteristic
146C22×C4×C47C2×Q811yescharacteristic
147C22×C4×C47#4111yescharacteristic
148C22×C4×C47#4111yescharacteristic
149C22×C4×C47#4111yescharacteristic
150C22×C4×C47#4111yescharacteristic
151C22×C4×C47#4111yescharacteristic
152C22×C4×C47#4111yescharacteristic
153C22×Dic47—22no—
154C22×Dic47—22no—
155C22×Dic47—22no—
156C22×Dic47—22no—
157C22×Dic47—22no—
158C22×Dic47—22no—
159C22×Dic47—22no—
160C22×Dic47—22no—
161C22×Dic47—41no—
162C22×Dic47—41no—
163C22×Dic47—41no—
164C22×Dic47—41no—
165C22×Dic47—42no—
166C22×Dic47—42no—
167C22×Dic47—42no—
168C22×Dic47—42no—
169C22×Dic47C22⋊C414yes—
170C2×C8×C47—22no—
171C2×C8×C47—22no—
172C2×C8×C47—22no—
173C2×C8×C47—41no—
174C2×C8×C47—41no—
175C2×C8×C47—41no—
176C2×C8×C47—41no—
177C4⋊C4×C47—22no—
178C4⋊C4×C47—22no—
179C4⋊C4×C47—41no—
180C4⋊C4×C47—41no—
181C22⋊Dic47—416no—
182C4⋊Dic47—22no—
183C4⋊Dic47—22no—
184C4⋊Dic47—22no—
185C4⋊Dic47—22no—
186C4⋊Dic47—41no—
187C4⋊Dic47—41no—
188C4⋊Dic47—41no—
189C4⋊Dic47—41no—
190C4×Dic47—22no—
191C4×Dic47—22no—
192C4×Dic47—22no—
193C4×Dic47—22no—
194C2×C47⋊C8—22no—
195C2×C47⋊C8—22no—
196C2×C47⋊C8—22no—
197C2×C47⋊C8—41no—
198C2×C47⋊C8—41no—
199C2×C47⋊C8—41no—
200C2×C47⋊C8—41no—
201C23×C47—24no—
202C23×C47—42no—
203C23×C47—42no—
204C23×C47—42no—
205C23×C47—42no—
206C23×C47—42no—
207C23×C47—42no—
208C23×C47—44no—
209C23×C47—44no—
210C23×C47—44no—
211C23×C47—44no—
212C23×C47—44no—
213C23×C47—44no—
214C23×C47—82no—
215C23×C47—82no—
216C23×C47—82no—
217C23×C47—82no—
218C23×C47—82no—
219C23×C47—82no—
220C23×C47—81no—
221C23×C47—81no—
222C23×C47—81no—
223C23×C47—81no—
224C23×C47C2×C22⋊C411yescharacteristic
225C23×C47#12011yescharacteristic
226C23×C47#12111yescharacteristic
227C23×C47C22⋊Q811yescharacteristic
228C23×C47#12311yescharacteristic
229C23×C47#12411yescharacteristic
230C23×C47#12711yescharacteristic
231C23×C47#13512yes—
232C23×C47#13512yes—
233C23×C47AGL(1,ℤ/8)12yes—
234C23×C47AGL(1,ℤ/8)12yes—
235D4×C47—24no—
236D4×C47—24no—
237D4×C47—42no—
238D4×C47—42no—
239D4×C47—42no—
240D4×C47—42no—
241D4×C47—42no—
242D4×C47—42no—
243C2×C4×C47—42no—
244C2×C4×C47—44no—
245C2×C4×C47—82no—
246C2×C4×C47—81no—
247C2×C4×C47—81no—
248C2×C4×C47C2×C4⋊C411yescharacteristic
249C2×C4×C47#11711yescharacteristic
250C2×C4×C47C4×D411yescharacteristic
251C2×C4×C47C4×D411yescharacteristic
252C2×C4×C47C4×D411yescharacteristic
253C2×C4×C47C4×D411yescharacteristic
254C2×C4×C47#12011yescharacteristic
255C2×C4×C47#12011yescharacteristic
256C2×C4×C47#12111yescharacteristic
257C2×C4×C47#12111yescharacteristic
258C2×C4×C47#12111yescharacteristic
259C2×C4×C47#12111yescharacteristic
260C2×C4×C47#12111yescharacteristic
261C2×C4×C47#12111yescharacteristic
262C2×C4×C47#12111yescharacteristic
263C2×C4×C47C22⋊Q811yescharacteristic
264C2×C4×C47C22⋊Q811yescharacteristic
265C2×C4×C47C22⋊Q811yescharacteristic
266C2×C4×C47C22⋊Q811yescharacteristic
267C2×C4×C47C22⋊Q811yescharacteristic
268C2×C4×C47#12311yescharacteristic
269C2×C4×C47#12311yescharacteristic
270C2×C4×C47#12311yescharacteristic
271C2×C4×C47#12311yescharacteristic
272C2×C4×C47#12411yescharacteristic
273C2×C4×C47#12411yescharacteristic
274C2×C4×C47#12611yescharacteristic
275C2×C4×C47#12611yescharacteristic
276C2×Dic47—24no—
277C2×Dic47—24no—
278C2×Dic47—24no—
279C2×Dic47—42no—
280C2×Dic47—42no—
281C2×Dic47—42no—
282C2×Dic47—42no—
283C2×Dic47—42no—
284C2×Dic47—42no—
285C2×Dic47—44no—
286C2×Dic47—44no—
287C2×Dic47—82no—
288C2×Dic47—82no—
289C2×Dic47—81no—
290C2×Dic47—81no—
291C2×Dic47—81no—
292C2×Dic47—81no—
293C8×C47—42no—
294C47⋊C8—42no—
295#11051—471nomaximal, Sylow
296C22×C47—48no—
297C22×C47—44no—
298C22×C47—84no—
299C22×C47—82no—
300C22×C47—82no—
301C22×C47—84no—
302C22×C47—82no—
303C22×C47—82no—
304C22×C47—82no—
305C22×C47—82no—
306C22×C47—84no—
307C22×C47#38011yescharacteristic
308C22×C47#38611yescharacteristic
309C22×C47#39011yescharacteristic
310C22×C47#39211yescharacteristic
311C22×C47#39311yescharacteristic
312C22×C47#39711yescharacteristic
313C22×C47#39911yescharacteristic
314C22×C47#41612yes—
315C22×C47#41812yes—
316C22×C47#44912yes—
317C22×C47#44912yes—
318C22×C47#46312yes—
319C22×C47#46312yes—
320C22×C47#47812yes—
321C22×C47#47812yes—
322C22×C47#48212yes—
323C22×C47#48212yes—
324C22×C47#48812yes—
325C22×C47#49012yes—
326C22×C47#49511yescharacteristic
327C22×C47#49511yescharacteristic
328C22×C47#49611yescharacteristic
329C22×C47#49611yescharacteristic
330C4×C47—82no—
331C4×C47#38511yescharacteristic
332C4×C47#38511yescharacteristic
333C4×C47#38811yescharacteristic
334C4×C47#38811yescharacteristic
335C4×C47#39411yescharacteristic
336C4×C47#39411yescharacteristic
337C4×C47#39611yescharacteristic
338C4×C47#39611yescharacteristic
339Dic47—44no—
340Dic47—82no—
341Dic47—82no—
342C22×#102—471no—
343C22×#102D4711yescharacteristic
344C2×#390—471no—
345C2×#382—471no—
346C2×#340—471no—
347C2×#340—471no—
348C2×#336—471no—
349C2×C47—84no—
350C2×C47#143911yescharacteristic
351C2×C47#180412yes—
352C2×C47#187512yes—
353C2×C47#195811yescharacteristic
354C2×C47#196111yescharacteristic
355C2×C47#201211yescharacteristic
356C2×C47#201211yescharacteristic
357C2×C47#202512yes—
358C2×C47#207312yes—
359C2×C47#209211yescharacteristic
360C2×C47#209211yescharacteristic
361C23×D4C2×D4711yescharacteristic
362C23×C8—471no—
363C23×C8C2×D4711yescharacteristic
364C22×C4⋊C4—471no—
365C22×C4⋊C4—471no—
366C22×C4⋊C4C2×D4711yescharacteristic
367C22×C22⋊C4—942no—
368C22×C42—471no—
369C2×#102—22no—
370C2×#102—22no—
371C2×#102—22no—
372C2×#102—942no—
373C2×#102—942no—
374C2×#102—942no—
375#390—474no—
376#390—942no—
377#382—942no—
378#382—942no—
379C2×#95—942no—
380#340—942no—
381#340—942no—
382#336—942no—
383C47#1105111yescharacteristic, complemented, Sylow
384C25—21no—
385C22×D4—21no—
386C22×D4—21no—
387C22×D4—21no—
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C22×D4—21no—
393C22×D4—21no—
394C22×D4—21no—
395C22×D4—21no—
396C22×D4Dic9412yes—
397C22×D4C4×D4712yes—
398C22×D4C22⋊D4712yes—
399C23×C4—21no—
400C23×C4—472no—
401C23×C4—941no—
402C23×C4—941no—
403C23×C4C22×D4711yescharacteristic
404C22×C8—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C22×C8—21no—
409C22×C8—21no—
410C22×C8—472no—
411C22×C8—941no—
412C22×C8—941no—
413C22×C8—941no—
414C22×C8—941no—
415C22×C8—941no—
416C22×C8—941no—
417C22×C8C22⋊D4712yes—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—472no—
424C2×C4⋊C4—472no—
425C2×C4⋊C4—941no—
426C2×C4⋊C4—941no—
427C2×C4⋊C4—941no—
428C2×C4⋊C4—941no—
429C2×C4⋊C4—941no—
430C2×C4⋊C4—941no—
431C2×C4⋊C4—941no—
432C2×C4⋊C4—941no—
433C2×C4⋊C4—941no—
434C2×C4⋊C4—941no—
435C2×C4⋊C4C22⋊D4712yes—
436C2×C22⋊C4—948no—
437C2×C22⋊C4—1884no—
438C2×C22⋊C4—1884no—
439C2×C42—472no—
440C2×C42—472no—
441C2×C42—941no—
442C2×C42—941no—
443C2×C42—941no—
444C2×C42—941no—
445#102—28no—
446#102—948no—
447#95—948no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—41no—
452C24—41no—
453C24—41no—
454C24—41no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24—42no—
459C24D4×D4711yescharacteristic
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4Dic47⋊C414yes—
488C22×C4—22no—
489C22×C4—41no—
490C22×C4—41no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—474no—
494C22×C4—942no—
495C22×C4—942no—
496C22×C4—942no—
497C22×C4—942no—
498C22×C4—942no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4—1881no—
503C22×C4—1881no—
504C22×C4—1881no—
505C22×C4—1881no—
506C22×C4—1882no—
507C22×C4—1882no—
508C22×C4—1882no—
509C22×C4—1882no—
510C22×C4C2×Dic9411yescharacteristic
511C22×C4C2×C4×D4711yescharacteristic
512C22×C4#1062535011yescharacteristic
513C22×C4#1062535011yescharacteristic
514C22×C4D4×D4711yescharacteristic
515C22×C4D4×D4711yescharacteristic
516C22×C4D4×D4711yescharacteristic
517C22×C4#1062535211yescharacteristic
518C22×C4#1062535211yescharacteristic
519C22×C4#1062535211yescharacteristic
520C22×C4#1062535211yescharacteristic
521C22×C4C2×C22⋊D4711yescharacteristic
522C22×C4C2×C22⋊D4711yescharacteristic
523C22×C4C2×C22⋊D4711yescharacteristic
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—41no—
528C2×C8—41no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—942no—
532C2×C8—942no—
533C2×C8—942no—
534C2×C8—1881no—
535C2×C8—1881no—
536C2×C8—1881no—
537C2×C8—1881no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—41no—
541C4⋊C4—41no—
542C4⋊C4—942no—
543C4⋊C4—942no—
544C4⋊C4—942no—
545C4⋊C4—942no—
546C4⋊C4—1881no—
547C4⋊C4—1881no—
548C4⋊C4—1881no—
549C4⋊C4—1881no—
550C22⋊C4—18816no—
551C42—942no—
552C42—942no—
553C42—942no—
554C42—942no—
555C23—24no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—44no—
563C23—44no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—82no—
569C23—82no—
570C23—81no—
571C23—81no—
572C23—81no—
573C23—81no—
574C23—82no—
575C23—82no—
576C23—82no—
577C23—82no—
578C23C22⋊C4×D4711yescharacteristic
579C23#1309399211yescharacteristic
580C23#1309399611yescharacteristic
581C23#1309400111yescharacteristic
582C23#1309400611yescharacteristic
583C23#1309401011yescharacteristic
584C23#1309402011yescharacteristic
585C23#1309404312yes—
586C23#1309404512yes—
587C23#1309404812yes—
588C23#1309405112yes—
589D4—24no—
590D4—24no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—42no—
595D4—42no—
596D4—42no—
597C2×C4—44no—
598C2×C4—42no—
599C2×C4—81no—
600C2×C4—81no—
601C2×C4—82no—
602C2×C4—944no—
603C2×C4—944no—
604C2×C4—944no—
605C2×C4—3762no—
606C2×C4—3761no—
607C2×C4—3761no—
608C2×C4—3761no—
609C2×C4—3761no—
610C2×C4—3762no—
611C2×C4—1884no—
612C2×C4—1882no—
613C2×C4—1882no—
614C2×C4—1884no—
615C2×C4—1882no—
616C2×C4—1882no—
617C2×C4—1882no—
618C2×C4—1882no—
619C2×C4C2×Dic47⋊C411yescharacteristic
620C2×C4#1309398011yescharacteristic
621C2×C4(C22⋊D47)⋊C411yescharacteristic
622C2×C4(C22⋊D47)⋊C411yescharacteristic
623C2×C4C4×C22⋊D4711yescharacteristic
624C2×C4C4×C22⋊D4711yescharacteristic
625C2×C4#1309399211yescharacteristic
626C2×C4#1309399311yescharacteristic
627C2×C4#1309399511yescharacteristic
628C2×C4#1309399511yescharacteristic
629C2×C4#1309399611yescharacteristic
630C2×C4#1309399611yescharacteristic
631C2×C4#1309399611yescharacteristic
632C2×C4#1309399711yescharacteristic
633C2×C4#1309399711yescharacteristic
634C2×C4#1309400111yescharacteristic
635C2×C4#1309400111yescharacteristic
636C2×C4#1309400111yescharacteristic
637C2×C4#1309400311yescharacteristic
638C2×C4#1309400311yescharacteristic
639C2×C4#1309400511yescharacteristic
640C2×C4#1309400511yescharacteristic
641C2×C4#1309400611yescharacteristic
642C2×C4#1309400711yescharacteristic
643C2×C4#1309401011yescharacteristic
644C2×C4#1309401111yescharacteristic
645C2×C4#1309401711yescharacteristic
646C2×C4#1309401711yescharacteristic
647C8—42no—
648C8—1882no—
649C22—48no—
650C22—44no—
651C22—84no—
652C22—84no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22—82no—
657C22—82no—
658C22—82no—
659C22—84no—
660C22#1568898111yescharacteristic
661C22#1568899911yescharacteristic
662C22#1568902311yescharacteristic
663C22#1568903111yescharacteristic
664C22#1568903511yescharacteristic
665C22#1568905111yescharacteristic
666C22#1568905911yescharacteristic
667C22#1568911612yes—
668C22#1568912612yes—
669C22#1568926512yes—
670C22#1568926712yes—
671C22#1568933612yes—
672C22#1568934012yes—
673C22#1568942112yes—
674C22#1568942512yes—
675C22#1568944512yes—
676C22#1568944612yes—
677C22#1568947612yes—
678C22#1568948612yes—
679C22#1568950411yescharacteristic
680C22#1568950611yescharacteristic
681C22#1568950911yescharacteristic
682C22#1568951111yescharacteristic
683C4—82no—
684C4—3762no—
685C4—3762no—
686C4—1884no—
687C4#1568899511yescharacteristic
688C4#1568899611yescharacteristic
689C4#1568901111yescharacteristic
690C4#1568901711yescharacteristic
691C4#1568903711yescharacteristic
692C4#1568903811yescharacteristic
693C4#1568904611yescharacteristic
694C4#1568904611yescharacteristic
695C2—84no—
696C2#2024163111yescharacteristic
697C2#2024339612yes—
698C2#2024370712yes—
699C2#2024419811yescharacteristic
700C2#2024421011yescharacteristic
701C2#2024446211yescharacteristic
702C2#2024446311yescharacteristic
703C2#2024453212yes—
704C2#2024480412yes—
705C2#2024490711yescharacteristic
706C2#2024491111yescharacteristic
subgroupG/H
centerC24D4×D47
commutatorC22×C4×C47C22×C4
FrattiniC23×C4C22×D47
FittingC22×#102×C47C2
socleC24×C47C2×D4
prime radicalC23×D4×C47C22
cosocleC23×C4×C47C23
hypercenterC22×#102D47
hypocenterC47#11051
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#102

Complements

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

NH ≅ G/Ntype
3. C2×#15688988C2semidirect
4. C2×#15688886C2semidirect
5. C2×#15688885C2semidirect
6. C2×#15688877C2semidirect
17. #15689026C4semidirect
383. C47#11051semidirect

Maximal subgroups

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

subgroupindex
C22×#130939452
C2×#156890262
C2×#156889882
C2×#156888862
C2×#156888852
C2×#156888772
C22×#102×C472
#1105147