Finite Group Databasebeta

← C2×#20256166 #27095938

Subgroups — C2×#20256166 #27095938

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×#15689829C211yesmaximal, characteristic
3#20256166C2116yesmaximal, direct product factor
4C2×#15689490C211yesmaximal, characteristic, complemented
5C2×#15689472C211yesmaximal, characteristic, complemented
6C2×#15689432C211yesmaximal, characteristic, complemented
7C2×#15689427C211yesmaximal, characteristic, complemented
8C2×#15689416C211yesmaximal, characteristic, complemented
9C2×#15689327C211yesmaximal, characteristic
10C2×#15689327C211yesmaximal, characteristic
11C2×#15689325C211yesmaximal, characteristic
12C2×#15689251C211yesmaximal, characteristic, complemented
13C2×#15689226C211yesmaximal, characteristic
14C2×#15689225C211yesmaximal, characteristic
15C2×#15689208C211yesmaximal, characteristic
16C2×C47×#491C211yesmaximal, characteristic, complemented
17C22×#10625325C2211yescharacteristic
18C22×#10625336C2211yescharacteristic
19C22×#10625336C2211yescharacteristic
20#15689848—24no—
21#15689848C2218yescomplemented
22#15689829—24no—
23#15689829C2218yes—
24C2×#13094023C2211yescharacteristic
25C2×#13094022C2211yescharacteristic
26C2×#13094022C2211yescharacteristic
27C2×#13094015—21no—
28C2×#13094015C2211yescharacteristic
29C2×#13094014—21no—
30C2×#13094014—21no—
31C2×#13094004—21no—
32C2×#13094002—21no—
33C2×#13094002—21no—
34C2×Q8×Dic47C2211yescharacteristic
35C2×Q8×Dic47C2211yescharacteristic
36C2×C4×Dic94C2211yescharacteristic
37C2×C4×Dic94C2211yescharacteristic
38C2×#13093989—21no—
39C2×C4×D188C2211yescharacteristic
40C2×#13093986C2211yescharacteristic
41C2×#13093986C2211yescharacteristic
42C2×C4⋊C4×D47—21no—
43#15689490C2218yescomplemented
44#15689472C2218yescomplemented
45#15689432C2218yescomplemented
46#15689427C2218yescomplemented
47#15689416C2218yescomplemented
48#15689327C2218yes—
49#15689327C2218yes—
50#15689325C2218yes—
51#15689251C2218yescomplemented
52#15689226C2218yes—
53#15689225C2218yes—
54#15689208C2218yes—
55C2×#13093958C2211yescharacteristic
56C2×#13093957C2211yescharacteristic
57C2×#13093955C2211yescharacteristic
58C2×C4⋊(C47⋊C8)C2211yescharacteristic
59C2×Dic47⋊C8C2211yescharacteristic
60C2×Dic47⋊C8C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093948C2211yescharacteristic
63C2×#13093948C2211yescharacteristic
64C2×#13093947C2211yescharacteristic
65C2×#13093947C2211yescharacteristic
66C2×#13093946C2211yescharacteristic
67C2×#13093934C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×C4⋊Q8×C47C2211yescharacteristic
70C2×#125×C47C2211yescharacteristic
71C47×#491C2218yescomplemented
72C2×#103×C47C2211yescharacteristic
73C2×#103×C47C2211yescharacteristic
74C2×#103×C47C2211yescharacteristic
75C2×#103×C47C2211yescharacteristic
76C2×#97×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94D411yescharacteristic
79C22×Dic94C2311yescharacteristic
80C22×D188C2311yescharacteristic
81C22×C4×D47—21no—
82C22×C4×D47—21no—
83C22×C4×D47—21no—
84C2×#10625325—24no—
85C2×#10625325C2314yes—
86C2×#10625336—24no—
87C2×#10625336—24no—
88C2×#10625336C2314yes—
89C2×#10625336C2314yes—
90C22×C47⋊C8C2311yescharacteristic
91C22×C47⋊C8C2311yescharacteristic
92#13094023—22no—
93#13094023C2314yes—
94#13094022—22no—
95#13094022—22no—
96#13094022C2314yes—
97#13094022C2314yes—
98#13094015—28no—
99#13094015—22no—
100#13094015C2314yes—
101#13094014—28no—
102#13094014—28no—
103#13094004—28no—
104#13094002—28no—
105#13094002—28no—
106Q8×Dic47—22no—
107Q8×Dic47—22no—
108Q8×Dic47C2314yes—
109Q8×Dic47C2314yes—
110C4×Dic94—22no—
111C4×Dic94D414yes—
112C4×Dic94C2314yes—
113C4×Dic94C2314yes—
114#13093989—28no—
115C4×D188—22no—
116C4×D188C2314yes—
117#13093986—22no—
118#13093986—22no—
119#13093986C2314yes—
120#13093986C2314yes—
121C2×C4⋊Dic47—21no—
122C2×C4⋊Dic47—21no—
123C2×C4⋊Dic47—21no—
124C2×C4⋊Dic47D411yescharacteristic
125C2×C4⋊Dic47C2311yescharacteristic
126C2×C4⋊Dic47C2311yescharacteristic
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—21no—
132C2×Dic47⋊C4—21no—
133C2×Dic47⋊C4—21no—
134C2×Dic47⋊C4D411yescharacteristic
135C2×Dic47⋊C4D411yescharacteristic
136C4⋊C4×D47—28no—
137C2×(C2×D47)⋊C4—21no—
138C2×(C2×D47)⋊C4—21no—
139C2×(C2×D47)⋊C4—21no—
140C2×C4×Dic47—21no—
141C2×C4×Dic47—21no—
142C2×C4×Dic47—21no—
143C2×C4×Dic47C2311yescharacteristic
144C2×C4×Dic47C2311yescharacteristic
145#13093958C2314yes—
146#13093957C2314yes—
147#13093955C2314yes—
148C4⋊(C47⋊C8)C2314yes—
149Dic47⋊C8C2314yes—
150Dic47⋊C8C2314yes—
151#13093949C2314yes—
152#13093948C2314yes—
153#13093948C2314yes—
154#13093947C2314yes—
155#13093947C2314yes—
156#13093946C2314yes—
157#13093934C2314yes—
158C8×Dic47C2314yes—
159C22×Q8×C47C2311yescharacteristic
160C22×Q8×C47C2311yescharacteristic
161C22×C8×C47C2311yescharacteristic
162C22×C8×C47C2311yescharacteristic
163C4⋊Q8×C47—22no—
164C4⋊Q8×C47C2314yes—
165#125×C47—22no—
166#125×C47C2314yes—
167C2×C4⋊C4×C47—21no—
168C2×C4⋊C4×C47—21no—
169C2×C4⋊C4×C47—21no—
170C2×C4⋊C4×C47—21no—
171C2×C4⋊C4×C47C2311yescharacteristic
172C2×C4⋊C4×C47C2311yescharacteristic
173C2×C42×C47C2311yescharacteristic
174#103×C47C2314yes—
175#103×C47C2314yes—
176#103×C47C2314yes—
177#103×C47C2314yes—
178#97×C47C2314yes—
179C23×D47—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—
188C22×C4×C47—21no—
189C22×C4×C47—21no—
190C22×C4×C47—21no—
191C22×C4×C47—21no—
192C22×C4×C47C2×D411yescharacteristic
193C22×C4×C47C2×D411yescharacteristic
194C22×C4×C47C2411yescharacteristic
195C22×Dic47—21no—
196C22×Dic47—21no—
197C22×Dic47—21no—
198C22×Dic47C2×D411yescharacteristic
199C22×Dic47C2×D411yescharacteristic
200C22×Dic47C2×D411yescharacteristic
201C22×Dic47C2×D411yescharacteristic
202C2×D188—21no—
203C2×D188—22no—
204C2×D188#4114yes—
205C2×D188C2412yes—
206C2×C4×D47—24no—
207C2×C4×D47—24no—
208C2×C4×D47—24no—
209C2×C4×D47—44no—
210C2×C4×D47—82no—
211C2×C4×D47—82no—
212C2×Dic94—24no—
213C2×Dic94—22no—
214C2×Dic94—22no—
215C2×Dic94—21no—
216C2×Dic94—24no—
217C2×Dic94—82no—
218C2×Dic94C2×D414yes—
219C2×Dic94C2412yes—
220C2×C8×C47—22no—
221C2×C8×C47—22no—
222C2×C8×C47C2412yes—
223C2×C8×C47C2412yes—
224C4⋊C4×C47—24no—
225C4⋊C4×C47—24no—
226C4⋊C4×C47—24no—
227C4⋊C4×C47—24no—
228C4⋊C4×C47—21no—
229C4⋊C4×C47—21no—
230C4⋊C4×C47C2412yes—
231C4⋊C4×C47C2412yes—
232C42×C47C2×D412yes—
233C42×C47C2412yes—
234#10625336—28no—
235#10625336—28no—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—24no—
238(C2×D47)⋊C4—24no—
239C4⋊Dic47—21no—
240C4⋊Dic47—21no—
241C4⋊Dic47—24no—
242C4⋊Dic47—24no—
243C4⋊Dic47—24no—
244C4⋊Dic47C2×D414yes—
245C4⋊Dic47C2412yes—
246C4⋊Dic47C2412yes—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4—24no—
253Dic47⋊C4—24no—
254Dic47⋊C4C2×D414yes—
255Dic47⋊C4C2×D414yes—
256C4×Dic47—24no—
257C4×Dic47—24no—
258C4×Dic47—24no—
259C4×Dic47C2×D412yes—
260C4×Dic47C2×D412yes—
261C4×Dic47C2412yes—
262C4×Dic47C2412yes—
263C2×C47⋊C8—22no—
264C2×C47⋊C8—22no—
265C2×C47⋊C8C2412yes—
266C2×C47⋊C8C2412yes—
267#10625325—28no—
268C23×C47C22×D411yescharacteristic
269C22×D47—24no—
270C22×D47—22no—
271C22×D47—42no—
272C22×D47—42no—
273Q8×C47—22no—
274Q8×C47—22no—
275Q8×C47—22no—
276Q8×C47—22no—
277Q8×C47—42no—
278Q8×C47—42no—
279C2×C4×C47—22no—
280C2×C4×C47—22no—
281C2×C4×C47—22no—
282C2×C4×C47—22no—
283C2×C4×C47—22no—
284C2×C4×C47—22no—
285C2×C4×C47—42no—
286C2×C4×C47—42no—
287C2×C4×C47—42no—
288C2×C4×C47—42no—
289C2×C4×C47C22×D412yes—
290C2×C4×C47C22×D412yes—
291C2×C4×C47C22×D411yescharacteristic
292C2×C4×C47C2×#4112yes—
293C2×C4×C472−1+412yes—
294C2×C4×C47C2511yescharacteristic
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—22no—
300C2×Dic47—22no—
301C2×Dic47—42no—
302C2×Dic47—42no—
303C2×Dic47—42no—
304C2×Dic47#13714yes—
305C2×Dic47C22×D412yes—
306C2×Dic47C22×D412yes—
307C2×Dic47C22×D412yes—
308C2×Dic47C22×D412yes—
309D188—24no—
310D188—22no—
311D188C2×#4114yes—
312C4×D47—48no—
313C4×D47—84no—
314C4×D47—84no—
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#54812yes—
326C22×C47C2×#13712yes—
327C22×C47#57712yes—
328C22×C47C23×D411yescharacteristic
329C2×D47—24no—
330C2×D47—48no—
331C2×D47—42no—
332C2×D47—42no—
333C4×C47—22no—
334C4×C47—22no—
335C4×C47—42no—
336C4×C47—42no—
337C4×C47—42no—
338C4×C47—42no—
339C4×C47#54812yes—
340C4×C47C22×#4111yescharacteristic
341C4×C47C2×2−1+411yescharacteristic
342Dic47—22no—
343Dic47—22no—
344Dic47—22no—
345Dic47—42no—
346Dic47—42no—
347Dic47—42no—
348Dic47C2×#13714yes—
349C2×#557—471no—
350C2×#554—471no—
351#3372—4716no—
352C2×#491—471no—
353C2×#491D4711yescharacteristic, complemented
354C2×#487—471no—
355C2×#479—471no—
356C2×#479—471no—
357C2×#477—471no—
358C2×#461—471no—
359C2×#461—471no—
360C2×#461—471no—
361C2×#446—471no—
362C2×#440—471no—
363C2×#440—471no—
364C2×C4×SD16—471no—
365C2×C47#337214yescomplemented
366C2×C47C2×#54811yescharacteristic
367C2×C47C22×#13711yescharacteristic
368C2×C47C2×#57711yescharacteristic
369D47—44no—
370C22×SD16—471no—
371C22×SD16—471no—
372C22×SD16—471no—
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—941no—
383C2×#125—941no—
384C2×#125—941no—
385C2×#125C2×D4711yescharacteristic
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×D4—471no—
397C22×C4⋊C4—941no—
398#491—478no—
399#491C2×D4718yescomplemented
400#487—478no—
401#479—478no—
402#479—478no—
403#477—478no—
404#461—478no—
405#461—478no—
406#461—478no—
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⋊C8—471no—
417C2×#103—471no—
418C2×#103—471no—
419C2×#103—471no—
420C2×#103—471no—
421C2×#103—471no—
422C2×#103C2×D4711yescharacteristic
423C2×#103C2×D4711yescharacteristic
424C2×#103C2×D4711yescharacteristic
425C2×#103C2×D4711yescharacteristic
426C2×#102—471no—
427C2×#97—471no—
428C2×#97C2×D4711yescharacteristic
429C2×C4×C8—471no—
430C47C2×#337211yescharacteristic, complemented, Sylow
431C22×Q8—471no—
432C22×Q8—471no—
433C22×Q8—941no—
434C22×Q8C22×D4711yescharacteristic
435C22×Q8C22×D4711yescharacteristic
436C22×D4—471no—
437C23×C4—941no—
438C23×C4—941no—
439C23×C4—941no—
440C2×SD16—474no—
441C2×SD16—474no—
442C2×SD16—474no—
443C2×SD16—944no—
444C2×SD16—944no—
445C2×SD16—944no—
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—22no—
459#125—474no—
460#125—942no—
461#125—948no—
462#125—948no—
463#125—948no—
464#125C22×D4714yes—
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—474no—
478C4×D4—474no—
479C4×D4—474no—
480C4×D4—942no—
481C4×D4—942no—
482C4×D4—942no—
483C2×C4⋊C4—21no—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—471no—
488C2×C4⋊C4—471no—
489C2×C4⋊C4—471no—
490C2×C4⋊C4—471no—
491C2×C4⋊C4—471no—
492C2×C4⋊C4—948no—
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⋊C4C22×D4711yescharacteristic
504C2×C4⋊C4C22×D4711yescharacteristic
505C2×C22⋊C4—941no—
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⋊C8—474no—
520#103—474no—
521#103—474no—
522#103—474no—
523#103—474no—
524#103—474no—
525#103C22×D4714yes—
526#103C22×D4714yes—
527#103C22×D4714yes—
528#103C22×D4714yes—
529#102—474no—
530#97—474no—
531#97C22×D4714yes—
532C4×C8—474no—
533C24—941no—
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—474no—
551C2×D4—472no—
552C2×D4—941no—
553C2×D4—942no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—471no—
559C22×C4—471no—
560C22×C4—471no—
561C22×C4—471no—
562C22×C4—944no—
563C22×C4—944no—
564C22×C4—941no—
565C22×C4—941no—
566C22×C4—941no—
567C22×C4—944no—
568C22×C4—3762no—
569C22×C4—3762no—
570C22×C4—1884no—
571C22×C4D4×D4711yescharacteristic
572C22×C4D4×D4711yescharacteristic
573C22×C4C23×D4711yescharacteristic
574SD16—948no—
575SD16—948no—
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—24no—
588C4⋊C4—24no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—474no—
592C4⋊C4—474no—
593C4⋊C4—474no—
594C4⋊C4—472no—
595C4⋊C4—472no—
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⋊C4C23×D4712yes—
609C4⋊C4C23×D4712yes—
610C22⋊C4—944no—
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—944no—
623C23—942no—
624C23—1882no—
625C23—1882no—
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—474no—
639D4—944no—
640D4—942no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—474no—
652C2×C4—472no—
653C2×C4—472no—
654C2×C4—472no—
655C2×C4—472no—
656C2×C4—942no—
657C2×C4—942no—
658C2×C4—942no—
659C2×C4—942no—
660C2×C4—942no—
661C2×C4—942no—
662C2×C4—3764no—
663C2×C4—3764no—
664C2×C4—1888no—
665C2×C4—1882no—
666C2×C4—1882no—
667C2×C4—1882no—
668C2×C4C2×D4×D4712yes—
669C2×C4C2×D4×D4712yes—
670C2×C4C2×D4×D4711yescharacteristic
671C2×C4#41×D4712yes—
672C2×C4#1309407112yes—
673C2×C4C24×D4711yescharacteristic
674C8—22no—
675C8—22no—
676C8—942no—
677C8—942no—
678C22—944no—
679C22—1882no—
680C22—1882no—
681C22—1888no—
682C22#1568978112yes—
683C22#137×D4712yes—
684C22#1568993212yes—
685C22C22×D4×D4711yescharacteristic
686C4—22no—
687C4—22no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—474no—
693C4—942no—
694C4—942no—
695C4—942no—
696C4—1882no—
697C4—1882no—
698C4—1882no—
699C4#1568978112yes—
700C4C2×#41×D4711yescharacteristic
701C4C2×#1309407111yescharacteristic
702C2—1884no—
703C2#2025616614yesdirect product factor
704C2C2×#1568978111yescharacteristic
705C2C2×#137×D4711yescharacteristic
706C2C2×#1568993211yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#491C2
socleC23×C47C22×D4
prime radicalC22×D188C23
hypercenterC2×#491D47
hypocenterC47C2×#3372
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#491

Complements

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

NH ≅ G/Ntype
1. C2×#15689848C2semidirect
3. #20256166C2direct (N × H)
4. C2×#15689490C2semidirect
5. C2×#15689472C2semidirect
6. C2×#15689432C2semidirect
7. C2×#15689427C2semidirect
8. C2×#15689416C2semidirect
12. C2×#15689251C2semidirect
16. C2×C47×#491C2semidirect
21. #15689848C22semidirect
43. #15689490C22semidirect
44. #15689472C22semidirect
45. #15689432C22semidirect
46. #15689427C22semidirect
47. #15689416C22semidirect
51. #15689251C22semidirect
71. C47×#491C22semidirect
353. C2×#491D47semidirect
365. C2×C47#3372semidirect
399. #491C2×D47semidirect
430. C47C2×#3372semidirect
703. C2#20256166direct (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×#156898292
#202561662
C2×#156894902
C2×#156894722
C2×#156894322
C2×#156894272
C2×#156894162
C2×#156893272
C2×#156893252
C2×#156892512
C2×#156892262
C2×#156892252
C2×#156892082
C2×C47×#4912
C2×#337247