Finite Group Databasebeta

← C2×#20256164 #27095936

Subgroups — C2×#20256164 #27095936

Order 12032.

1854 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
1C2×#15689848C211yesmaximal, characteristic, complemented
2C2×#15689832C211yesmaximal, characteristic
3#20256164C2116yesmaximal, direct product factor
4C2×#15689491C211yesmaximal, characteristic, complemented
5C2×#15689490C211yesmaximal, characteristic, complemented
6C2×#15689472C211yesmaximal, characteristic, complemented
7C2×#15689431C211yesmaximal, characteristic, complemented
8C2×#15689428C211yesmaximal, characteristic, complemented
9C2×#15689416C211yesmaximal, characteristic, complemented
10C2×#15689326C211yesmaximal, characteristic
11C2×#15689326C211yesmaximal, characteristic
12C2×#15689252C211yesmaximal, characteristic, complemented
13C2×#15689224C211yesmaximal, characteristic
14C2×#15689223C211yesmaximal, characteristic
15C2×SD16×Dic47C211yesmaximal, characteristic
16C2×C47×#461C211yesmaximal, characteristic
17C22×#10625335C2211yescharacteristic
18#15689848—24no—
19#15689848C2218yescomplemented
20#15689832—24no—
21#15689832C2218yes—
22C2×#13094023C2211yescharacteristic
23C2×#13094022C2211yescharacteristic
24C2×#13094022C2211yescharacteristic
25C2×#13094016C2211yescharacteristic
26C2×#13094015—21no—
27C2×#13094015C2211yescharacteristic
28C2×#13094014—21no—
29C2×#13094014—21no—
30C2×#13094003—21no—
31C2×#13094001—21no—
32C2×#13094001—21no—
33C2×Q8×Dic47C2211yescharacteristic
34C2×Q8×Dic47C2211yescharacteristic
35C2×C4×Dic94C2211yescharacteristic
36C2×C4×Dic94C2211yescharacteristic
37C2×#13093989—21no—
38C2×D4×Dic47C2211yescharacteristic
39C2×D4×Dic47C2211yescharacteristic
40C22×Dic47⋊C4—21no—
41#15689491C2218yescomplemented
42#15689490C2218yescomplemented
43#15689472C2218yescomplemented
44#15689431C2218yescomplemented
45#15689428C2218yescomplemented
46#15689416C2218yescomplemented
47#15689326C2218yes—
48#15689326C2218yes—
49#15689252C2218yescomplemented
50#15689224C2218yes—
51#15689223C2218yes—
52SD16×Dic47C2218yes—
53C2×#13093958C2211yescharacteristic
54C2×#13093957C2211yescharacteristic
55C2×#13093956C2211yescharacteristic
56C2×Dic47⋊C8C2211yescharacteristic
57C2×Dic47⋊C8C2211yescharacteristic
58C2×#13093949C2211yescharacteristic
59C2×#13093949C2211yescharacteristic
60C2×#13093948C2211yescharacteristic
61C2×#13093948C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093948C2211yescharacteristic
64C2×#13093947C2211yescharacteristic
65C2×#13093945C2211yescharacteristic
66C2×#13093935C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C22×SD16×C47C2211yescharacteristic
70C22×SD16×C47C2211yescharacteristic
71C2×C4⋊Q8×C47C2211yescharacteristic
72C2×C4×D4×C47C2211yescharacteristic
73C47×#461C2218yes—
74C2×C4⋊C8×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×#103×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94D411yescharacteristic
79C22×Dic94C2311yescharacteristic
80C23×Dic47—21no—
81C23×Dic47—21no—
82C2×#10625335—24no—
83C2×#10625335C2314yes—
84C22×C47⋊C8C2311yescharacteristic
85C22×C47⋊C8C2311yescharacteristic
86#13094023—22no—
87#13094023C2314yes—
88#13094022—22no—
89#13094022—22no—
90#13094022C2314yes—
91#13094022C2314yes—
92#13094016—22no—
93#13094016C2314yes—
94#13094015—28no—
95#13094015—22no—
96#13094015C2314yes—
97#13094014—28no—
98#13094014—28no—
99#13094003—28no—
100#13094001—28no—
101#13094001—28no—
102Q8×Dic47—22no—
103Q8×Dic47—22no—
104Q8×Dic47C2314yes—
105Q8×Dic47C2314yes—
106C4×Dic94—22no—
107C4×Dic94D414yes—
108C4×Dic94C2314yes—
109C4×Dic94C2314yes—
110#13093989—28no—
111D4×Dic47—22no—
112D4×Dic47—22no—
113D4×Dic47C2314yes—
114D4×Dic47C2314yes—
115C2×C4⋊Dic47—21no—
116C2×C4⋊Dic47—21no—
117C2×C4⋊Dic47—21no—
118C2×C4⋊Dic47D411yescharacteristic
119C2×C4⋊Dic47C2311yescharacteristic
120C2×C4⋊Dic47C2311yescharacteristic
121C2×C4⋊Dic47C2311yescharacteristic
122C2×Dic47⋊C4—21no—
123C2×Dic47⋊C4—21no—
124C2×Dic47⋊C4—21no—
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—28no—
132C2×Dic47⋊C4D411yescharacteristic
133C2×Dic47⋊C4D411yescharacteristic
134C2×C22⋊Dic47—21no—
135C2×C22⋊Dic47—21no—
136C2×C4×Dic47—21no—
137C2×C4×Dic47—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47C2311yescharacteristic
140C2×C4×Dic47C2311yescharacteristic
141#13093958C2314yes—
142#13093957C2314yes—
143#13093956C2314yes—
144Dic47⋊C8C2314yes—
145Dic47⋊C8C2314yes—
146#13093949C2314yes—
147#13093949C2314yes—
148#13093948C2314yes—
149#13093948C2314yes—
150#13093948C2314yes—
151#13093948C2314yes—
152#13093947C2314yes—
153#13093945C2314yes—
154#13093935C2314yes—
155#13093934C2314yes—
156C8×Dic47C2314yes—
157C22×Q8×C47C2311yescharacteristic
158C22×Q8×C47C2311yescharacteristic
159C22×D4×C47C2311yescharacteristic
160C23×C4×C47—21no—
161C2×SD16×C47—24no—
162C2×SD16×C47—24no—
163C2×SD16×C47C2314yes—
164C2×SD16×C47C2314yes—
165C22×C8×C47C2311yescharacteristic
166C22×C8×C47C2311yescharacteristic
167C4⋊Q8×C47—22no—
168C4⋊Q8×C47C2314yes—
169C4×D4×C47—22no—
170C4×D4×C47C2314yes—
171C2×C4⋊C4×C47—21no—
172C2×C4⋊C4×C47—21no—
173C2×C4⋊C4×C47C2311yescharacteristic
174C2×C22⋊C4×C47—21no—
175C2×C42×C47C2311yescharacteristic
176C4⋊C8×C47C2314yes—
177#103×C47C2314yes—
178#103×C47C2314yes—
179C24×C47—21no—
180C2×Q8×C47—21no—
181C2×Q8×C47—21no—
182C2×Q8×C47—22no—
183C2×Q8×C47—22no—
184C2×Q8×C47—22no—
185C2×Q8×C47—22no—
186C2×Q8×C47C2412yes—
187C2×Q8×C47C2412yes—
188C2×D4×C47—21no—
189C2×D4×C47—22no—
190C2×D4×C47#4114yes—
191C2×D4×C47C2412yes—
192C22×C4×C47—21no—
193C22×C4×C47—21no—
194C22×C4×C47—21no—
195C22×C4×C47—24no—
196C22×C4×C47—82no—
197C22×C4×C47C2×D411yescharacteristic
198C22×C4×C47C2×D411yescharacteristic
199C22×C4×C47C2411yescharacteristic
200C22×Dic47—21no—
201C22×Dic47—21no—
202C22×Dic47—21no—
203C22×Dic47—21no—
204C22×Dic47—24no—
205C22×Dic47—24no—
206C22×Dic47—44no—
207C22×Dic47—82no—
208C22×Dic47C2×D411yescharacteristic
209C22×Dic47C2×D411yescharacteristic
210C22×Dic47C2×D411yescharacteristic
211C22×Dic47C2×D411yescharacteristic
212C2×Dic94—24no—
213C2×Dic94—22no—
214C2×Dic94—22no—
215C2×Dic94—21no—
216C2×Dic94—24no—
217C2×Dic94—82no—
218C2×Dic94C2×D414yes—
219C2×Dic94C2412yes—
220SD16×C47—28no—
221SD16×C47—28no—
222C2×C8×C47—22no—
223C2×C8×C47—22no—
224C2×C8×C47C2412yes—
225C2×C8×C47C2412yes—
226C4⋊C4×C47—24no—
227C4⋊C4×C47—24no—
228C4⋊C4×C47—21no—
229C4⋊C4×C47C2412yes—
230C22⋊C4×C47—24no—
231C42×C47C2×D412yes—
232C42×C47C2412yes—
233C22⋊Dic47—24no—
234C22⋊Dic47—24no—
235#10625335—28no—
236C4⋊Dic47—21no—
237C4⋊Dic47—21no—
238C4⋊Dic47—21no—
239C4⋊Dic47—24no—
240C4⋊Dic47—24no—
241C4⋊Dic47—24no—
242C4⋊Dic47C2×D414yes—
243C4⋊Dic47C2412yes—
244C4⋊Dic47C2412yes—
245C4⋊Dic47C2412yes—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4—24no—
253Dic47⋊C4—24no—
254Dic47⋊C4—24no—
255Dic47⋊C4C2×D414yes—
256Dic47⋊C4C2×D414yes—
257C4×Dic47—24no—
258C4×Dic47—24no—
259C4×Dic47—24no—
260C4×Dic47C2×D412yes—
261C4×Dic47C2×D412yes—
262C4×Dic47C2412yes—
263C4×Dic47C2412yes—
264C2×C47⋊C8—22no—
265C2×C47⋊C8—22no—
266C2×C47⋊C8C2412yes—
267C2×C47⋊C8C2412yes—
268C23×C47—24no—
269C23×C47—22no—
270C23×C47—42no—
271C23×C47—42no—
272C23×C47C22×D411yescharacteristic
273Q8×C47—22no—
274Q8×C47—22no—
275Q8×C47—22no—
276Q8×C47—22no—
277Q8×C47—42no—
278Q8×C47—42no—
279D4×C47—24no—
280D4×C47—22no—
281D4×C47C2×#4114yes—
282C2×C4×C47—22no—
283C2×C4×C47—22no—
284C2×C4×C47—22no—
285C2×C4×C47—22no—
286C2×C4×C47—22no—
287C2×C4×C47—42no—
288C2×C4×C47—42no—
289C2×C4×C47—42no—
290C2×C4×C47—84no—
291C2×C4×C47C22×D412yes—
292C2×C4×C47C22×D412yes—
293C2×C4×C47C22×D411yescharacteristic
294C2×C4×C47C2×#4112yes—
295C2×C4×C472−1+412yes—
296C2×C4×C47C2511yescharacteristic
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—22no—
300C2×Dic47—22no—
301C2×Dic47—22no—
302C2×Dic47—22no—
303C2×Dic47—22no—
304C2×Dic47—42no—
305C2×Dic47—42no—
306C2×Dic47—42no—
307C2×Dic47—42no—
308C2×Dic47—48no—
309C2×Dic47—84no—
310C2×Dic47#13714yes—
311C2×Dic47C22×D412yes—
312C2×Dic47C22×D412yes—
313C2×Dic47C22×D412yes—
314C2×Dic47C22×D412yes—
315Dic94—28no—
316Dic94—22no—
317Dic94—22no—
318Dic94—42no—
319Dic94—84no—
320C8×C47—22no—
321C8×C47—22no—
322C47⋊C8—22no—
323C47⋊C8—22no—
324C2×#3372—471nomaximal, Sylow
325C22×C47—24no—
326C22×C47—48no—
327C22×C47—42no—
328C22×C47—42no—
329C22×C47#54812yes—
330C22×C47C2×#13712yes—
331C22×C47#57712yes—
332C22×C47C23×D411yescharacteristic
333C4×C47—22no—
334C4×C47—22no—
335C4×C47—42no—
336C4×C47—42no—
337C4×C47—42no—
338C4×C47#54812yes—
339C4×C47C22×#4111yescharacteristic
340C4×C47C2×2−1+411yescharacteristic
341Dic47—22no—
342Dic47—22no—
343Dic47—22no—
344Dic47—42no—
345Dic47—42no—
346Dic47—42no—
347Dic47—42no—
348Dic47C2×#13714yes—
349C2×#557—471no—
350C2×#554—471no—
351#3372—4716no—
352C2×#491—471no—
353C2×#491—471no—
354C2×#487—471no—
355C2×#479—471no—
356C2×#479—471no—
357C2×#477—471no—
358C2×#461—471no—
359C2×#461—471no—
360C2×#461D4711yescharacteristic
361C2×#446—471no—
362C2×#440—471no—
363C2×#440—471no—
364C2×C4×SD16—471no—
365C2×C47—44no—
366C2×C47#337214yescomplemented
367C2×C47C2×#54811yescharacteristic
368C2×C47C22×#13711yescharacteristic
369C2×C47C2×#57711yescharacteristic
370C22×SD16—471no—
371C22×SD16C2×D4711yescharacteristic
372C22×SD16C2×D4711yescharacteristic
373#557—478no—
374#557—944no—
375#554—478no—
376#554—944no—
377C2×C4⋊Q8—471no—
378C2×C4⋊Q8—471no—
379C2×C4⋊Q8—471no—
380C2×C4⋊Q8C2×D4711yescharacteristic
381C2×#125—471no—
382C2×#125—471no—
383C2×#125—941no—
384C2×#125—941no—
385C2×#125—941no—
386C2×C22⋊Q8—941no—
387C2×C22⋊Q8—941no—
388C2×C22⋊Q8—941no—
389C2×C4×Q8—471no—
390C2×C4×Q8—471no—
391C2×C4×Q8—471no—
392C2×C4×Q8—471no—
393C2×C4×Q8—941no—
394C2×C4×D4—471no—
395C2×C4×D4—471no—
396C2×C4×D4C2×D4711yescharacteristic
397C22×C4⋊C4—941no—
398#491—478no—
399#491—478no—
400#487—478no—
401#479—478no—
402#479—478no—
403#477—478no—
404#461—478no—
405#461—478no—
406#461C2×D4718yes—
407#446—478no—
408#440—478no—
409#440—478no—
410C4×SD16—478no—
411C2×#107—471no—
412C2×#107—471no—
413C2×#106—471no—
414C2×C4⋊C8—471no—
415C2×C4⋊C8—471no—
416C2×C4⋊C8C2×D4711yescharacteristic
417C2×#103—471no—
418C2×#103—471no—
419C2×#103—471no—
420C2×#103—471no—
421C2×#103—471no—
422C2×#103—471no—
423C2×#103—471no—
424C2×#103C2×D4711yescharacteristic
425C2×#103C2×D4711yescharacteristic
426C2×#102—471no—
427C2×#97—471no—
428C2×#97—471no—
429C2×C4×C8—471no—
430C47C2×#337211yescharacteristic, complemented, Sylow
431C22×Q8—471no—
432C22×Q8—471no—
433C22×Q8—941no—
434C22×Q8C22×D4711yescharacteristic
435C22×Q8C22×D4711yescharacteristic
436C22×D4C22×D4711yescharacteristic
437C23×C4—21no—
438C23×C4—941no—
439C23×C4—941no—
440C2×SD16—24no—
441C2×SD16—24no—
442C2×SD16—474no—
443C2×SD16—944no—
444C2×SD16C22×D4714yes—
445C2×SD16C22×D4714yes—
446C22×C8—471no—
447C22×C8—471no—
448C22×C8C22×D4711yescharacteristic
449C22×C8C22×D4711yescharacteristic
450C4⋊Q8—22no—
451C4⋊Q8—474no—
452C4⋊Q8—474no—
453C4⋊Q8—474no—
454C4⋊Q8—942no—
455C4⋊Q8—942no—
456C4⋊Q8—942no—
457C4⋊Q8C22×D4714yes—
458#125—474no—
459#125—474no—
460#125—942no—
461#125—948no—
462#125—948no—
463#125—948no—
464#125—942no—
465C22⋊Q8—948no—
466C22⋊Q8—948no—
467C22⋊Q8—948no—
468C4×Q8—474no—
469C4×Q8—474no—
470C4×Q8—474no—
471C4×Q8—474no—
472C4×Q8—474no—
473C4×Q8—942no—
474C4×Q8—942no—
475C4×Q8—948no—
476C4×Q8—942no—
477C4×D4—22no—
478C4×D4—474no—
479C4×D4—474no—
480C4×D4—942no—
481C4×D4—942no—
482C4×D4C22×D4714yes—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—471no—
486C2×C4⋊C4—471no—
487C2×C4⋊C4—471no—
488C2×C4⋊C4—471no—
489C2×C4⋊C4—471no—
490C2×C4⋊C4—471no—
491C2×C4⋊C4—948no—
492C2×C4⋊C4—941no—
493C2×C4⋊C4—941no—
494C2×C4⋊C4—941no—
495C2×C4⋊C4—941no—
496C2×C4⋊C4—941no—
497C2×C4⋊C4—941no—
498C2×C4⋊C4—941no—
499C2×C4⋊C4—941no—
500C2×C4⋊C4—941no—
501C2×C4⋊C4—941no—
502C2×C4⋊C4—941no—
503C2×C4⋊C4—941no—
504C2×C4⋊C4C22×D4711yescharacteristic
505C2×C22⋊C4—21no—
506C2×C22⋊C4—941no—
507C2×C22⋊C4—941no—
508C2×C42—471no—
509C2×C42—471no—
510C2×C42—941no—
511C2×C42—941no—
512C2×C42—941no—
513C2×C42C22×D4711yescharacteristic
514#107—474no—
515#107—474no—
516#106—474no—
517C4⋊C8—474no—
518C4⋊C8—474no—
519C4⋊C8C22×D4714yes—
520#103—474no—
521#103—474no—
522#103—474no—
523#103—474no—
524#103—474no—
525#103—474no—
526#103—474no—
527#103C22×D4714yes—
528#103C22×D4714yes—
529#102—474no—
530#97—474no—
531#97—474no—
532C4×C8—474no—
533C24—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—474no—
541C2×Q8—472no—
542C2×Q8—944no—
543C2×Q8—944no—
544C2×Q8—941no—
545C2×Q8—942no—
546C2×Q8—942no—
547C2×Q8—3762no—
548C2×Q8C23×D4712yes—
549C2×Q8C23×D4712yes—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4#1062535214yes—
553C2×D4C23×D4712yes—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—24no—
558C22×C4—82no—
559C22×C4—471no—
560C22×C4—471no—
561C22×C4—471no—
562C22×C4—471no—
563C22×C4—944no—
564C22×C4—944no—
565C22×C4—941no—
566C22×C4—941no—
567C22×C4—941no—
568C22×C4—941no—
569C22×C4—3762no—
570C22×C4—1884no—
571C22×C4D4×D4711yescharacteristic
572C22×C4D4×D4711yescharacteristic
573C22×C4C23×D4711yescharacteristic
574SD16—28no—
575SD16—28no—
576SD16—948no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—472no—
580C2×C8—472no—
581C2×C8—942no—
582C2×C8—942no—
583C2×C8C23×D4712yes—
584C2×C8C23×D4712yes—
585C4⋊C4—24no—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—474no—
589C4⋊C4—474no—
590C4⋊C4—474no—
591C4⋊C4—472no—
592C4⋊C4—472no—
593C4⋊C4—472no—
594C4⋊C4—944no—
595C4⋊C4—944no—
596C4⋊C4—944no—
597C4⋊C4—944no—
598C4⋊C4—944no—
599C4⋊C4—944no—
600C4⋊C4—944no—
601C4⋊C4—944no—
602C4⋊C4—944no—
603C4⋊C4—944no—
604C4⋊C4—944no—
605C4⋊C4—944no—
606C4⋊C4—941no—
607C4⋊C4—941no—
608C4⋊C4—941no—
609C4⋊C4C23×D4712yes—
610C22⋊C4—24no—
611C22⋊C4—944no—
612C22⋊C4—944no—
613C42—472no—
614C42—472no—
615C42—472no—
616C42—472no—
617C42—944no—
618C42—944no—
619C42—944no—
620C42D4×D4712yes—
621C42C23×D4712yes—
622C23—24no—
623C23—22no—
624C23—42no—
625C23—42no—
626C23C2×D4×D4711yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—22no—
631Q8—42no—
632Q8—42no—
633Q8—948no—
634Q8—942no—
635Q8—942no—
636Q8—3764no—
637Q8—1882no—
638D4—24no—
639D4—22no—
640D4C2×#1062535214yes—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—84no—
650C2×C4—474no—
651C2×C4—472no—
652C2×C4—472no—
653C2×C4—472no—
654C2×C4—472no—
655C2×C4—942no—
656C2×C4—942no—
657C2×C4—942no—
658C2×C4—942no—
659C2×C4—942no—
660C2×C4—942no—
661C2×C4—942no—
662C2×C4—3764no—
663C2×C4—1888no—
664C2×C4—1882no—
665C2×C4—1882no—
666C2×C4—1882no—
667C2×C4—1882no—
668C2×C4C2×D4×D4712yes—
669C2×C4C2×D4×D4712yes—
670C2×C4C2×D4×D4711yescharacteristic
671C2×C4C2×#1062535212yes—
672C2×C4#1309407112yes—
673C2×C4C24×D4711yescharacteristic
674C8—22no—
675C8—22no—
676C8—942no—
677C8—942no—
678C22—24no—
679C22—42no—
680C22—42no—
681C22—48no—
682C22#1568977912yes—
683C22#137×D4712yes—
684C22#1568992912yes—
685C22C22×D4×D4711yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—474no—
692C4—942no—
693C4—942no—
694C4—942no—
695C4—1882no—
696C4—1882no—
697C4—1882no—
698C4—1882no—
699C4#1568977912yes—
700C4C22×#1062535211yescharacteristic
701C4C2×#1309407111yescharacteristic
702C2—44no—
703C2#2025616414yesdirect product factor
704C2C2×#1568977911yescharacteristic
705C2C2×#137×D4711yescharacteristic
706C2C2×#1568992911yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#461C2
socleC23×C47C22×D4
prime radicalC22×D4×C47C23
hypercenterC2×#461D47
hypocenterC47C2×#3372
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
1. C2×#15689848C2semidirect
3. #20256164C2direct (N × H)
4. C2×#15689491C2semidirect
5. C2×#15689490C2semidirect
6. C2×#15689472C2semidirect
7. C2×#15689431C2semidirect
8. C2×#15689428C2semidirect
9. C2×#15689416C2semidirect
12. C2×#15689252C2semidirect
19. #15689848C22semidirect
41. #15689491C22semidirect
42. #15689490C22semidirect
43. #15689472C22semidirect
44. #15689431C22semidirect
45. #15689428C22semidirect
46. #15689416C22semidirect
49. #15689252C22semidirect
366. C2×C47#3372semidirect
430. C47C2×#3372semidirect
703. C2#20256164direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898482
C2×#156898322
#202561642
C2×#156894912
C2×#156894902
C2×#156894722
C2×#156894312
C2×#156894282
C2×#156894162
C2×#156893262
C2×#156892522
C2×#156892242
C2×#156892232
C2×SD16×Dic472
C2×C47×#4612
C2×#337247