Finite Group Databasebeta

← C2×#20244667 #26244115

Subgroups — C2×#20244667 #26244115

Order 12032.

1322 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094055C211yesmaximal, characteristic
2C2×#15689172C211yesmaximal, characteristic, complemented
3C2×#15689139C211yesmaximal, characteristic
4C2×#15689132C211yesmaximal, characteristic, complemented
5C2×#15689105C211yesmaximal, characteristic
6#20244667C218yesmaximal, direct product factor
7C2×#15688894C211yesmaximal, characteristic, complemented
8C22×#101×C47C211yesmaximal, characteristic, complemented
9C22×#10625350C2211yescharacteristic
10C2×#13094055—22no—
11C2×#13094055—22no—
12C2×#13094055—22no—
13C2×#13094055—22no—
14C2×#13094055—22no—
15C2×#13094055C2214yes—
16C22×#10625337—21no—
17C22×#10625336—21no—
18C22×#10625329C2211yescharacteristic
19C22×#10625329C2211yescharacteristic
20C2×#13093983C2211yescharacteristic
21#15689172—22no—
22#15689172C2214yescomplemented
23C2×#13093960—22no—
24#15689139—22no—
25#15689139C2214yes—
26C2×#13093950—22no—
27#15689132—22no—
28#15689132C2214yescomplemented
29C2×#13093948—22no—
30#15689105—22no—
31#15689105C2214yes—
32C2×#13093942—21no—
33C2×#13093940—21no—
34#15688894C2214yescomplemented
35C23×Q8×C47C2211yescharacteristic
36C22×M16×C47C2211yescharacteristic
37C22×M16×C47C2211yescharacteristic
38C2×#101×C47—22no—
39C2×#101×C47—22no—
40C2×#101×C47C2214yescomplemented
41C2×#10625350—21no—
42C2×#10625350—21no—
43C2×#10625350—21no—
44C2×#10625350—21no—
45C2×#10625350—21no—
46C2×#10625350—21no—
47C2×#10625350—21no—
48C2×#10625350—21no—
49C2×#10625350—21no—
50C2×#10625350—21no—
51C2×#10625350D412yes—
52C2×#10625350C2312yes—
53C22×Dic94D411yescharacteristic
54C22×D188D411yescharacteristic
55C22×C22⋊D47—21no—
56C22×C4×D47—21no—
57#13094055—28no—
58#13094055—28no—
59#13094055—28no—
60#13094055—28no—
61C2×#10625337—24no—
62C2×#10625337—24no—
63C2×#10625337—24no—
64C2×#10625336—24no—
65C2×#10625336—24no—
66C2×#10625336—24no—
67C2×#10625329—21no—
68C2×#10625329—21no—
69C2×#10625329—21no—
70C2×#10625329—21no—
71C2×#10625329—21no—
72C2×#10625329—21no—
73C2×#10625329—21no—
74C2×#10625329—21no—
75C2×#10625329D412yes—
76C2×#10625329D412yes—
77C2×#10625329C2312yes—
78C2×#10625329C2312yes—
79C22×C47⋊C8—21no—
80C22×C47⋊C8—21no—
81#13093983—21no—
82#13093983—21no—
83#13093983—21no—
84#13093983C2312yes—
85C2×C4⋊Dic47—21no—
86C2×C22⋊Dic47—21no—
87C2×C4×Dic47—21no—
88#13093960—28no—
89#13093950—28no—
90#13093948—28no—
91#13093942—24no—
92#13093940—24no—
93C22×Q8×C47—21no—
94C22×Q8×C47—21no—
95C22×Q8×C47—21no—
96C22×Q8×C47—21no—
97C22×Q8×C47—21no—
98C22×Q8×C47—21no—
99C22×Q8×C47—21no—
100C22×Q8×C47—21no—
101C22×Q8×C47—21no—
102C22×Q8×C47—21no—
103C22×Q8×C47—21no—
104C22×Q8×C47D412yes—
105C22×Q8×C47D412yes—
106C22×Q8×C47C2312yes—
107C23×C4×C47—21no—
108C23×C4×C47C2311yescharacteristic
109C2×M16×C47—21no—
110C2×M16×C47—21no—
111C2×M16×C47—21no—
112C2×M16×C47—21no—
113C2×M16×C47—21no—
114C2×M16×C47—21no—
115C2×M16×C47—21no—
116C2×M16×C47—21no—
117C2×M16×C47D412yes—
118C2×M16×C47D412yes—
119C2×M16×C47C2312yes—
120C2×M16×C47C2312yes—
121C22×C8×C47—21no—
122C22×C8×C47—21no—
123#101×C47—28no—
124C24×C47#4111yescharacteristic
125C23×D47—21no—
126C2×Q8×C47—22no—
127C2×Q8×C47—22no—
128C2×Q8×C47—22no—
129C2×Q8×C47—22no—
130C2×Q8×C47—22no—
131C2×Q8×C47—22no—
132C2×Q8×C47—22no—
133C2×Q8×C47—22no—
134C2×Q8×C47—22no—
135C2×Q8×C47—22no—
136C2×Q8×C47—22no—
137C2×Q8×C47—22no—
138C2×Q8×C47—22no—
139C2×Q8×C47—22no—
140C2×Q8×C47—22no—
141C2×Q8×C47—41no—
142C2×Q8×C47—41no—
143C2×Q8×C47—41no—
144C2×Q8×C47—41no—
145C2×Q8×C47—41no—
146C2×Q8×C47—41no—
147C2×Q8×C47—41no—
148C2×Q8×C47—41no—
149C2×Q8×C47—41no—
150C2×Q8×C47—41no—
151C2×Q8×C47—41no—
152C2×Q8×C47—41no—
153C2×Q8×C47C2×D414yes—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—22no—
157C22×C4×C47—41no—
158C22×C4×C47—41no—
159C22×C4×C47—41no—
160C22×C4×C47—41no—
161C22×C4×C47C2×D411yescharacteristic
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D411yescharacteristic
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D411yescharacteristic
169C22×C4×C47#4111yescharacteristic
170C22×C4×C47#4111yescharacteristic
171C22×C4×C47#4111yescharacteristic
172C22×C4×C47#4111yescharacteristic
173C22×C4×C47#4111yescharacteristic
174C22×C4×C47C2411yescharacteristic
175C2×C22⋊D47—22no—
176C2×C22⋊D47—22no—
177C2×C22⋊D47—41no—
178C2×C22⋊D47—41no—
179C2×C22⋊D47—41no—
180C2×C22⋊D47—41no—
181C22×Dic47—21no—
182C22×Dic47—41no—
183#10625350—22no—
184#10625350—22no—
185#10625350—22no—
186#10625350—22no—
187#10625350—22no—
188#10625350—22no—
189#10625350—22no—
190#10625350—22no—
191#10625350—41no—
192#10625350—41no—
193#10625350—41no—
194#10625350—41no—
195#10625350—41no—
196#10625350—41no—
197#10625350—41no—
198#10625350—41no—
199C2×D188—21no—
200C2×D188—21no—
201C2×D188—21no—
202C2×D188—21no—
203C2×D188—21no—
204C2×D188C2×D412yes—
205C2×C4×D47—22no—
206C2×C4×D47—22no—
207C2×C4×D47—41no—
208C2×C4×D47—41no—
209C2×C4×D47—41no—
210C2×C4×D47—41no—
211C2×Dic94—21no—
212C2×Dic94—21no—
213C2×Dic94—21no—
214C2×Dic94—21no—
215C2×Dic94—21no—
216C2×Dic94C2×D412yes—
217M16×C47—22no—
218M16×C47—22no—
219M16×C47—22no—
220M16×C47—22no—
221M16×C47—22no—
222M16×C47—41no—
223M16×C47—41no—
224M16×C47C2×D414yes—
225C2×C8×C47—22no—
226C2×C8×C47—22no—
227C2×C8×C47—22no—
228C2×C8×C47—22no—
229C2×C8×C47—41no—
230C2×C8×C47—41no—
231C22⋊Dic47—22no—
232C22⋊Dic47—41no—
233#10625337—216no—
234#10625336—216no—
235C4⋊Dic47—22no—
236C4⋊Dic47—41no—
237C4×Dic47—22no—
238C4×Dic47—41no—
239#10625329—22no—
240#10625329—22no—
241#10625329—22no—
242#10625329—22no—
243#10625329—22no—
244#10625329—41no—
245#10625329—41no—
246#10625329C2×D414yes—
247C2×C47⋊C8—22no—
248C2×C47⋊C8—22no—
249C2×C47⋊C8—22no—
250C2×C47⋊C8—22no—
251C2×C47⋊C8—41no—
252C2×C47⋊C8—41no—
253C23×C47—42no—
254C23×C47#12111yescharacteristic
255C23×C47#12111yescharacteristic
256C23×C47#12311yescharacteristic
257C23×C47#12311yescharacteristic
258C23×C47#12411yescharacteristic
259C23×C47#12411yescharacteristic
260C23×C47C2×#4111yescharacteristic
261C22×D47—22no—
262C22×D47—41no—
263C22×D47—41no—
264C22×D47—82no—
265Q8×C47—24no—
266Q8×C47—24no—
267Q8×C47—42no—
268Q8×C47—42no—
269Q8×C47—42no—
270Q8×C47—42no—
271Q8×C47—42no—
272Q8×C47—42no—
273C2×C4×C47—24no—
274C2×C4×C47—42no—
275C2×C4×C47—42no—
276C2×C4×C47—42no—
277C2×C4×C47—42no—
278C2×C4×C47—42no—
279C2×C4×C47—42no—
280C2×C4×C47#12011yescharacteristic
281C2×C4×C47#12011yescharacteristic
282C2×C4×C47#12011yescharacteristic
283C2×C4×C47#12011yescharacteristic
284C2×C4×C47#12111yescharacteristic
285C2×C4×C47#12111yescharacteristic
286C2×C4×C47#12111yescharacteristic
287C2×C4×C47#12111yescharacteristic
288C2×C4×C47#12111yescharacteristic
289C2×C4×C47#12111yescharacteristic
290C2×C4×C47#12111yescharacteristic
291C2×C4×C47#12111yescharacteristic
292C2×C4×C47#12111yescharacteristic
293C2×C4×C47#12111yescharacteristic
294C2×C4×C47#12311yescharacteristic
295C2×C4×C47#12311yescharacteristic
296C2×C4×C47#12311yescharacteristic
297C2×C4×C47#12311yescharacteristic
298C2×C4×C47#12311yescharacteristic
299C2×C4×C47#12311yescharacteristic
300C2×C4×C47#12411yescharacteristic
301C2×C4×C47#12411yescharacteristic
302C2×C4×C47C22×D411yescharacteristic
303C2×C4×C47C22×D411yescharacteristic
304C2×C4×C47C22×D411yescharacteristic
305C2×C4×C47C22×D411yescharacteristic
306C2×C4×C47C2×#4111yescharacteristic
307C2×C4×C47C2×#4111yescharacteristic
308C22⋊D47—42no—
309C22⋊D47—42no—
310C22⋊D47—42no—
311C22⋊D47—42no—
312C2×Dic47—22no—
313C2×Dic47—41no—
314C2×Dic47—41no—
315C2×Dic47—42no—
316C2×Dic47—82no—
317D188—22no—
318D188—22no—
319D188—41no—
320D188—41no—
321C4×D47—42no—
322C4×D47—42no—
323C4×D47—42no—
324C4×D47—42no—
325Dic94—22no—
326Dic94—22no—
327Dic94—41no—
328Dic94—41no—
329C8×C47—24no—
330C8×C47—42no—
331C47⋊C8—24no—
332C47⋊C8—42no—
333C2×#2049—471nomaximal, Sylow
334C22×C47—22no—
335C22×C47—22no—
336C22×C47—22no—
337C22×C47—41no—
338C22×C47—41no—
339C22×C47—41no—
340C22×C47—41no—
341C22×C47#39411yescharacteristic
342C22×C47#39411yescharacteristic
343C22×C47#39411yescharacteristic
344C22×C47#39411yescharacteristic
345C22×C47C2×#12111yescharacteristic
346C22×C47C2×#12311yescharacteristic
347C22×C47C2×#12411yescharacteristic
348C2×D47—42no—
349C2×D47—82no—
350C2×D47—82no—
351C2×D47—82no—
352C4×C47—44no—
353C4×C47#39411yescharacteristic
354C4×C47#39411yescharacteristic
355C4×C47#39411yescharacteristic
356C4×C47#39411yescharacteristic
357C4×C47C2×#12011yescharacteristic
358C4×C47C2×#12111yescharacteristic
359C4×C47C2×#12111yescharacteristic
360C4×C47C2×#12311yescharacteristic
361Dic47—42no—
362Dic47—82no—
363C22×#137—471no—
364C2×#430—471no—
365C2×#421—471no—
366C2×#419—471no—
367C2×#413—471no—
368C22×#101D4711yescharacteristic, complemented
369#2049—478no—
370C2×#344—471no—
371C2×C47—21no—
372C2×C47—21no—
373C2×C47—21no—
374C2×C47—21no—
375C2×C47—21no—
376C2×C47—21no—
377C2×C47#204912yescomplemented
378C2×C47C2×#39411yescharacteristic
379D47—82no—
380C22×#41—471no—
381C23×Q8C2×D4711yescharacteristic
382C2×#137—474no—
383C2×#137—942no—
384C2×#137—942no—
385C2×#137—942no—
386C2×#137—942no—
387C2×#137—942no—
388C22×Q16—941no—
389C22×SD16—941no—
390C22×M16—471no—
391C22×M16—471no—
392C22×M16C2×D4711yescharacteristic
393C22×M16C2×D4711yescharacteristic
394C2×#117—471no—
395#430—474no—
396#430—942no—
397C2×#108—942no—
398#421—474no—
399#421—942no—
400C2×#104—942no—
401#419—474no—
402#419—942no—
403C2×#103—942no—
404#413—474no—
405#413—942no—
406C2×#101—22no—
407C2×#101—22no—
408C2×#101—941no—
409C2×#101C2×D4714yescomplemented
410C2×#100—941no—
411#344—474no—
412C47C2×#204911yescharacteristic, complemented, Sylow
413C2×#41—472no—
414C2×#41—472no—
415C2×#41—941no—
416C2×#41—941no—
417C2×#41—941no—
418C2×#41—941no—
419C2×#41—941no—
420C2×#41—941no—
421C2×#41—941no—
422C2×#41—941no—
423C2×#41—941no—
424C2×#41—941no—
425C22×Q8—21no—
426C22×Q8—21no—
427C22×Q8—21no—
428C22×Q8—21no—
429C22×Q8—21no—
430C22×Q8—21no—
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8—21no—
434C22×Q8—21no—
435C22×Q8—21no—
436C22×Q8—471no—
437C22×Q8D18812yes—
438C22×Q8D18812yes—
439C22×Q8C22×D4712yes—
440C22×D4—471no—
441C22×D4—941no—
442C23×C4—21no—
443C23×C4—941no—
444C23×C4C22×D4711yescharacteristic
445#137—948no—
446#137—948no—
447#137—948no—
448#137—948no—
449C2×Q16—944no—
450C2×Q16—944no—
451C2×Q16—944no—
452C2×SD16—944no—
453C2×SD16—944no—
454C2×SD16—944no—
455C2×M16—21no—
456C2×M16—21no—
457C2×M16—21no—
458C2×M16—21no—
459C2×M16—21no—
460C2×M16—21no—
461C2×M16—21no—
462C2×M16—21no—
463C2×M16—472no—
464C2×M16—472no—
465C2×M16—472no—
466C2×M16—472no—
467C2×M16—941no—
468C2×M16—941no—
469C2×M16—941no—
470C2×M16—941no—
471C2×M16—941no—
472C2×M16—941no—
473C2×M16—941no—
474C2×M16—941no—
475C2×M16C22⋊D4712yes—
476C2×M16C22⋊D4712yes—
477C2×M16C22×D4712yes—
478C2×M16C22×D4712yes—
479C22×C8—21no—
480C22×C8—21no—
481C22×C8—941no—
482C22×C8—941no—
483#117—472no—
484#117—941no—
485#117—941no—
486#117—941no—
487C2×C4⋊C4—941no—
488C2×C22⋊C4—941no—
489C2×C42—941no—
490#108—948no—
491#104—948no—
492#103—948no—
493#101—28no—
494#101—944no—
495#100—944no—
496C24—941no—
497C24#1062535011yescharacteristic
498#41—942no—
499#41—942no—
500#41—942no—
501#41—942no—
502#41—942no—
503#41—942no—
504#41—942no—
505#41—942no—
506#41—1881no—
507#41—1881no—
508#41—1881no—
509#41—1881no—
510#41—1881no—
511#41—1881no—
512#41—1881no—
513#41—1881no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—22no—
518C2×Q8—22no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—22no—
525C2×Q8—22no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—41no—
530C2×Q8—41no—
531C2×Q8—41no—
532C2×Q8—41no—
533C2×Q8—41no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8—41no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—41no—
541C2×Q8—472no—
542C2×Q8—941no—
543C2×Q8—941no—
544C2×Q8—941no—
545C2×Q8—941no—
546C2×Q8—941no—
547C2×Q8C2×D18814yes—
548C2×D4—472no—
549C2×D4—942no—
550C2×D4—942no—
551C2×D4—941no—
552C2×D4—941no—
553C2×D4—941no—
554C2×D4—941no—
555C2×D4—941no—
556C2×D4—1881no—
557C2×D4—1881no—
558C2×D4—1881no—
559C2×D4—1881no—
560C22×C4—22no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4—941no—
568C22×C4—942no—
569C22×C4—942no—
570C22×C4—1881no—
571C22×C4—1881no—
572C22×C4—1881no—
573C22×C4—1881no—
574C22×C4—1881no—
575C22×C4C2×D18811yescharacteristic
576C22×C4C2×D18811yescharacteristic
577C22×C4#1062535011yescharacteristic
578C22×C4D4×D4711yescharacteristic
579C22×C4D4×D4711yescharacteristic
580C22×C4D4×D4711yescharacteristic
581C22×C4D4×D4711yescharacteristic
582C22×C4#1062535211yescharacteristic
583C22×C4#1062535211yescharacteristic
584C22×C4#1062535211yescharacteristic
585C22×C4#1062535211yescharacteristic
586C22×C4C2×C22⋊D4711yescharacteristic
587C22×C4C2×C22⋊D4711yescharacteristic
588C22×C4C23×D4711yescharacteristic
589Q16—9416no—
590SD16—9416no—
591M16—22no—
592M16—22no—
593M16—22no—
594M16—22no—
595M16—22no—
596M16—41no—
597M16—41no—
598M16—474no—
599M16—942no—
600M16—942no—
601M16—942no—
602M16—942no—
603M16—942no—
604M16—1881no—
605M16—1881no—
606M16C2×C22⋊D4714yes—
607C2×C8—22no—
608C2×C8—22no—
609C2×C8—22no—
610C2×C8—22no—
611C2×C8—41no—
612C2×C8—41no—
613C2×C8—942no—
614C2×C8—942no—
615C2×C8—942no—
616C2×C8—942no—
617C2×C8—1881no—
618C2×C8—1881no—
619C4⋊C4—942no—
620C4⋊C4—1881no—
621C22⋊C4—942no—
622C22⋊C4—1881no—
623C42—942no—
624C42—1881no—
625C23—42no—
626C23—942no—
627C23—3762no—
628C23—1881no—
629C23—1881no—
630C23#1309399811yescharacteristic
631C23#1309399811yescharacteristic
632C23#1309400611yescharacteristic
633C23#1309400611yescharacteristic
634C23#1309401011yescharacteristic
635C23#1309401011yescharacteristic
636C23C2×#1062535011yescharacteristic
637Q8—24no—
638Q8—24no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—42no—
643Q8—42no—
644Q8—42no—
645Q8—942no—
646Q8—942no—
647Q8—1881no—
648Q8—1881no—
649D4—942no—
650D4—942no—
651D4—1882no—
652D4—1882no—
653D4—1882no—
654D4—1882no—
655D4—1881no—
656D4—1881no—
657C2×C4—24no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—942no—
665C2×C4—3762no—
666C2×C4—1882no—
667C2×C4—1881no—
668C2×C4—1881no—
669C2×C4—1882no—
670C2×C4—1882no—
671C2×C4—1882no—
672C2×C4—1882no—
673C2×C4#1309399411yescharacteristic
674C2×C4#1309399411yescharacteristic
675C2×C4#1309399411yescharacteristic
676C2×C4#1309399411yescharacteristic
677C2×C4#1309399511yescharacteristic
678C2×C4#1309399511yescharacteristic
679C2×C4#1309399511yescharacteristic
680C2×C4#1309399511yescharacteristic
681C2×C4#1309399611yescharacteristic
682C2×C4#1309399611yescharacteristic
683C2×C4#1309399611yescharacteristic
684C2×C4#1309399611yescharacteristic
685C2×C4#1309399811yescharacteristic
686C2×C4#1309399811yescharacteristic
687C2×C4#1309400611yescharacteristic
688C2×C4#1309400611yescharacteristic
689C2×C4#1309400811yescharacteristic
690C2×C4#1309400811yescharacteristic
691C2×C4#1309400811yescharacteristic
692C2×C4#1309400811yescharacteristic
693C2×C4#1309401011yescharacteristic
694C2×C4#1309401011yescharacteristic
695C2×C4C2×D4×D4711yescharacteristic
696C2×C4C2×D4×D4711yescharacteristic
697C2×C4C22×C22⋊D4711yescharacteristic
698C2×C4C22×D18811yescharacteristic
699C2×C4C2×#1062535211yescharacteristic
700C2×C4C2×#1062535211yescharacteristic
701C8—24no—
702C8—42no—
703C8—944no—
704C8—1882no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—3762no—
713C22—3762no—
714C22—3762no—
715C22—1882no—
716C22#1568903911yescharacteristic
717C22#1568903911yescharacteristic
718C22#1568903911yescharacteristic
719C22#1568903911yescharacteristic
720C22C2×#1309399811yescharacteristic
721C22C2×#1309400611yescharacteristic
722C22C2×#1309401011yescharacteristic
723C4—44no—
724C4—3762no—
725C4—1882no—
726C4#1568903911yescharacteristic
727C4#1568903911yescharacteristic
728C4#1568903911yescharacteristic
729C4#1568903911yescharacteristic
730C4C2×#1309399411yescharacteristic
731C4C2×#1309399511yescharacteristic
732C4C2×#1309399611yescharacteristic
733C4C2×#1309400811yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—3762no—
741C2#2024466712yesdirect product factor
742C2C2×#1568903911yescharacteristic
subgroupG/H
centerC22#15689039
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC22×#101×C47C2
socleC22×C47#394
prime radicalC22×#10625350C22
hypercenterC22×#101D47
hypocenterC47C2×#2049
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#101

Complements

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

NH ≅ G/Ntype
2. C2×#15689172C2semidirect
4. C2×#15689132C2semidirect
6. #20244667C2direct (N × H)
7. C2×#15688894C2semidirect
8. C22×#101×C47C2semidirect
22. #15689172C22semidirect
28. #15689132C22semidirect
34. #15688894C22semidirect
40. C2×#101×C47C22semidirect
368. C22×#101D47semidirect
377. C2×C47#2049semidirect
409. C2×#101C2×D47semidirect
412. C47C2×#2049semidirect
741. C2#20244667direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940552
C2×#156891722
C2×#156891392
C2×#156891322
C2×#156891052
#202446672
C2×#156888942
C22×#101×C472
C2×#204947