Finite Group Databasebeta

← C2×#19135874 #25124434

Subgroups — C2×#19135874 #25124434

Order 11008.

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×#13063356C211yesmaximal, characteristic
2C2×#14582948C211yesmaximal, characteristic, complemented
3C2×#14582915C211yesmaximal, characteristic
4C2×#14582908C211yesmaximal, characteristic, complemented
5C2×#14582881C211yesmaximal, characteristic
6#19135874C218yesmaximal, direct product factor
7C2×#14582670C211yesmaximal, characteristic, complemented
8C22×#101×C43C211yesmaximal, characteristic, complemented
9C22×#10621898C2211yescharacteristic
10C2×#13063356—22no—
11C2×#13063356—22no—
12C2×#13063356—22no—
13C2×#13063356—22no—
14C2×#13063356—22no—
15C2×#13063356C2214yes—
16C22×#10621885—21no—
17C22×#10621884—21no—
18C22×#10621877C2211yescharacteristic
19C22×#10621877C2211yescharacteristic
20C2×#13063284C2211yescharacteristic
21#14582948—22no—
22#14582948C2214yescomplemented
23C2×#13063261—22no—
24#14582915—22no—
25#14582915C2214yes—
26C2×#13063251—22no—
27#14582908—22no—
28#14582908C2214yescomplemented
29C2×#13063249—22no—
30#14582881—22no—
31#14582881C2214yes—
32C2×#13063243—21no—
33C2×#13063241—21no—
34#14582670C2214yescomplemented
35C23×Q8×C43C2211yescharacteristic
36C22×M16×C43C2211yescharacteristic
37C22×M16×C43C2211yescharacteristic
38C2×#101×C43—22no—
39C2×#101×C43—22no—
40C2×#101×C43C2214yescomplemented
41C2×#10621898—21no—
42C2×#10621898—21no—
43C2×#10621898—21no—
44C2×#10621898—21no—
45C2×#10621898—21no—
46C2×#10621898—21no—
47C2×#10621898—21no—
48C2×#10621898—21no—
49C2×#10621898—21no—
50C2×#10621898—21no—
51C2×#10621898D412yes—
52C2×#10621898C2312yes—
53C22×Dic86D411yescharacteristic
54C22×D172D411yescharacteristic
55C22×C22⋊D43—21no—
56C22×C4×D43—21no—
57#13063356—28no—
58#13063356—28no—
59#13063356—28no—
60#13063356—28no—
61C2×#10621885—24no—
62C2×#10621885—24no—
63C2×#10621885—24no—
64C2×#10621884—24no—
65C2×#10621884—24no—
66C2×#10621884—24no—
67C2×#10621877—21no—
68C2×#10621877—21no—
69C2×#10621877—21no—
70C2×#10621877—21no—
71C2×#10621877—21no—
72C2×#10621877—21no—
73C2×#10621877—21no—
74C2×#10621877—21no—
75C2×#10621877D412yes—
76C2×#10621877D412yes—
77C2×#10621877C2312yes—
78C2×#10621877C2312yes—
79C22×C43⋊C8—21no—
80C22×C43⋊C8—21no—
81#13063284—21no—
82#13063284—21no—
83#13063284—21no—
84#13063284C2312yes—
85C2×C4⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C4×Dic43—21no—
88#13063261—28no—
89#13063251—28no—
90#13063249—28no—
91#13063243—24no—
92#13063241—24no—
93C22×Q8×C43—21no—
94C22×Q8×C43—21no—
95C22×Q8×C43—21no—
96C22×Q8×C43—21no—
97C22×Q8×C43—21no—
98C22×Q8×C43—21no—
99C22×Q8×C43—21no—
100C22×Q8×C43—21no—
101C22×Q8×C43—21no—
102C22×Q8×C43—21no—
103C22×Q8×C43—21no—
104C22×Q8×C43D412yes—
105C22×Q8×C43D412yes—
106C22×Q8×C43C2312yes—
107C23×C4×C43—21no—
108C23×C4×C43C2311yescharacteristic
109C2×M16×C43—21no—
110C2×M16×C43—21no—
111C2×M16×C43—21no—
112C2×M16×C43—21no—
113C2×M16×C43—21no—
114C2×M16×C43—21no—
115C2×M16×C43—21no—
116C2×M16×C43—21no—
117C2×M16×C43D412yes—
118C2×M16×C43D412yes—
119C2×M16×C43C2312yes—
120C2×M16×C43C2312yes—
121C22×C8×C43—21no—
122C22×C8×C43—21no—
123#101×C43—28no—
124C24×C43#4111yescharacteristic
125C23×D43—21no—
126C2×Q8×C43—22no—
127C2×Q8×C43—22no—
128C2×Q8×C43—22no—
129C2×Q8×C43—22no—
130C2×Q8×C43—22no—
131C2×Q8×C43—22no—
132C2×Q8×C43—22no—
133C2×Q8×C43—22no—
134C2×Q8×C43—22no—
135C2×Q8×C43—22no—
136C2×Q8×C43—22no—
137C2×Q8×C43—22no—
138C2×Q8×C43—22no—
139C2×Q8×C43—22no—
140C2×Q8×C43—22no—
141C2×Q8×C43—41no—
142C2×Q8×C43—41no—
143C2×Q8×C43—41no—
144C2×Q8×C43—41no—
145C2×Q8×C43—41no—
146C2×Q8×C43—41no—
147C2×Q8×C43—41no—
148C2×Q8×C43—41no—
149C2×Q8×C43—41no—
150C2×Q8×C43—41no—
151C2×Q8×C43—41no—
152C2×Q8×C43—41no—
153C2×Q8×C43C2×D414yes—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—41no—
158C22×C4×C43—41no—
159C22×C4×C43—41no—
160C22×C4×C43—41no—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43#4111yescharacteristic
170C22×C4×C43#4111yescharacteristic
171C22×C4×C43#4111yescharacteristic
172C22×C4×C43#4111yescharacteristic
173C22×C4×C43#4111yescharacteristic
174C22×C4×C43C2411yescharacteristic
175C2×C22⋊D43—22no—
176C2×C22⋊D43—22no—
177C2×C22⋊D43—41no—
178C2×C22⋊D43—41no—
179C2×C22⋊D43—41no—
180C2×C22⋊D43—41no—
181C22×Dic43—21no—
182C22×Dic43—41no—
183#10621898—22no—
184#10621898—22no—
185#10621898—22no—
186#10621898—22no—
187#10621898—22no—
188#10621898—22no—
189#10621898—22no—
190#10621898—22no—
191#10621898—41no—
192#10621898—41no—
193#10621898—41no—
194#10621898—41no—
195#10621898—41no—
196#10621898—41no—
197#10621898—41no—
198#10621898—41no—
199C2×D172—21no—
200C2×D172—21no—
201C2×D172—21no—
202C2×D172—21no—
203C2×D172—21no—
204C2×D172C2×D412yes—
205C2×C4×D43—22no—
206C2×C4×D43—22no—
207C2×C4×D43—41no—
208C2×C4×D43—41no—
209C2×C4×D43—41no—
210C2×C4×D43—41no—
211C2×Dic86—21no—
212C2×Dic86—21no—
213C2×Dic86—21no—
214C2×Dic86—21no—
215C2×Dic86—21no—
216C2×Dic86C2×D412yes—
217M16×C43—22no—
218M16×C43—22no—
219M16×C43—22no—
220M16×C43—22no—
221M16×C43—22no—
222M16×C43—41no—
223M16×C43—41no—
224M16×C43C2×D414yes—
225C2×C8×C43—22no—
226C2×C8×C43—22no—
227C2×C8×C43—22no—
228C2×C8×C43—22no—
229C2×C8×C43—41no—
230C2×C8×C43—41no—
231C22⋊Dic43—22no—
232C22⋊Dic43—41no—
233#10621885—216no—
234#10621884—216no—
235C4⋊Dic43—22no—
236C4⋊Dic43—41no—
237C4×Dic43—22no—
238C4×Dic43—41no—
239#10621877—22no—
240#10621877—22no—
241#10621877—22no—
242#10621877—22no—
243#10621877—22no—
244#10621877—41no—
245#10621877—41no—
246#10621877C2×D414yes—
247C2×C43⋊C8—22no—
248C2×C43⋊C8—22no—
249C2×C43⋊C8—22no—
250C2×C43⋊C8—22no—
251C2×C43⋊C8—41no—
252C2×C43⋊C8—41no—
253C23×C43—42no—
254C23×C43#12111yescharacteristic
255C23×C43#12111yescharacteristic
256C23×C43#12311yescharacteristic
257C23×C43#12311yescharacteristic
258C23×C43#12411yescharacteristic
259C23×C43#12411yescharacteristic
260C23×C43C2×#4111yescharacteristic
261C22×D43—22no—
262C22×D43—41no—
263C22×D43—41no—
264C22×D43—82no—
265Q8×C43—24no—
266Q8×C43—24no—
267Q8×C43—42no—
268Q8×C43—42no—
269Q8×C43—42no—
270Q8×C43—42no—
271Q8×C43—42no—
272Q8×C43—42no—
273C2×C4×C43—24no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43—42no—
279C2×C4×C43—42no—
280C2×C4×C43#12011yescharacteristic
281C2×C4×C43#12011yescharacteristic
282C2×C4×C43#12011yescharacteristic
283C2×C4×C43#12011yescharacteristic
284C2×C4×C43#12111yescharacteristic
285C2×C4×C43#12111yescharacteristic
286C2×C4×C43#12111yescharacteristic
287C2×C4×C43#12111yescharacteristic
288C2×C4×C43#12111yescharacteristic
289C2×C4×C43#12111yescharacteristic
290C2×C4×C43#12111yescharacteristic
291C2×C4×C43#12111yescharacteristic
292C2×C4×C43#12111yescharacteristic
293C2×C4×C43#12111yescharacteristic
294C2×C4×C43#12311yescharacteristic
295C2×C4×C43#12311yescharacteristic
296C2×C4×C43#12311yescharacteristic
297C2×C4×C43#12311yescharacteristic
298C2×C4×C43#12311yescharacteristic
299C2×C4×C43#12311yescharacteristic
300C2×C4×C43#12411yescharacteristic
301C2×C4×C43#12411yescharacteristic
302C2×C4×C43C22×D411yescharacteristic
303C2×C4×C43C22×D411yescharacteristic
304C2×C4×C43C22×D411yescharacteristic
305C2×C4×C43C22×D411yescharacteristic
306C2×C4×C43C2×#4111yescharacteristic
307C2×C4×C43C2×#4111yescharacteristic
308C22⋊D43—42no—
309C22⋊D43—42no—
310C22⋊D43—42no—
311C22⋊D43—42no—
312C2×Dic43—22no—
313C2×Dic43—41no—
314C2×Dic43—41no—
315C2×Dic43—42no—
316C2×Dic43—82no—
317D172—22no—
318D172—22no—
319D172—41no—
320D172—41no—
321C4×D43—42no—
322C4×D43—42no—
323C4×D43—42no—
324C4×D43—42no—
325Dic86—22no—
326Dic86—22no—
327Dic86—41no—
328Dic86—41no—
329C8×C43—24no—
330C8×C43—42no—
331C43⋊C8—24no—
332C43⋊C8—42no—
333C2×#2049—431nomaximal, Sylow
334C22×C43—22no—
335C22×C43—22no—
336C22×C43—22no—
337C22×C43—41no—
338C22×C43—41no—
339C22×C43—41no—
340C22×C43—41no—
341C22×C43#39411yescharacteristic
342C22×C43#39411yescharacteristic
343C22×C43#39411yescharacteristic
344C22×C43#39411yescharacteristic
345C22×C43C2×#12111yescharacteristic
346C22×C43C2×#12311yescharacteristic
347C22×C43C2×#12411yescharacteristic
348C2×D43—42no—
349C2×D43—82no—
350C2×D43—82no—
351C2×D43—82no—
352C4×C43—44no—
353C4×C43#39411yescharacteristic
354C4×C43#39411yescharacteristic
355C4×C43#39411yescharacteristic
356C4×C43#39411yescharacteristic
357C4×C43C2×#12011yescharacteristic
358C4×C43C2×#12111yescharacteristic
359C4×C43C2×#12111yescharacteristic
360C4×C43C2×#12311yescharacteristic
361Dic43—42no—
362Dic43—82no—
363C22×#137—431no—
364C2×#430—431no—
365C2×#421—431no—
366C2×#419—431no—
367C2×#413—431no—
368C22×#101D4311yescharacteristic, complemented
369#2049—438no—
370C2×#344—431no—
371C2×C43—21no—
372C2×C43—21no—
373C2×C43—21no—
374C2×C43—21no—
375C2×C43—21no—
376C2×C43—21no—
377C2×C43#204912yescomplemented
378C2×C43C2×#39411yescharacteristic
379D43—82no—
380C22×#41—431no—
381C23×Q8C2×D4311yescharacteristic
382C2×#137—434no—
383C2×#137—862no—
384C2×#137—862no—
385C2×#137—862no—
386C2×#137—862no—
387C2×#137—862no—
388C22×Q16—861no—
389C22×SD16—861no—
390C22×M16—431no—
391C22×M16—431no—
392C22×M16C2×D4311yescharacteristic
393C22×M16C2×D4311yescharacteristic
394C2×#117—431no—
395#430—434no—
396#430—862no—
397C2×#108—862no—
398#421—434no—
399#421—862no—
400C2×#104—862no—
401#419—434no—
402#419—862no—
403C2×#103—862no—
404#413—434no—
405#413—862no—
406C2×#101—22no—
407C2×#101—22no—
408C2×#101—861no—
409C2×#101C2×D4314yescomplemented
410C2×#100—861no—
411#344—434no—
412C43C2×#204911yescharacteristic, complemented, Sylow
413C2×#41—432no—
414C2×#41—432no—
415C2×#41—861no—
416C2×#41—861no—
417C2×#41—861no—
418C2×#41—861no—
419C2×#41—861no—
420C2×#41—861no—
421C2×#41—861no—
422C2×#41—861no—
423C2×#41—861no—
424C2×#41—861no—
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—431no—
437C22×Q8D17212yes—
438C22×Q8D17212yes—
439C22×Q8C22×D4312yes—
440C22×D4—431no—
441C22×D4—861no—
442C23×C4—21no—
443C23×C4—861no—
444C23×C4C22×D4311yescharacteristic
445#137—868no—
446#137—868no—
447#137—868no—
448#137—868no—
449C2×Q16—864no—
450C2×Q16—864no—
451C2×Q16—864no—
452C2×SD16—864no—
453C2×SD16—864no—
454C2×SD16—864no—
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—432no—
464C2×M16—432no—
465C2×M16—432no—
466C2×M16—432no—
467C2×M16—861no—
468C2×M16—861no—
469C2×M16—861no—
470C2×M16—861no—
471C2×M16—861no—
472C2×M16—861no—
473C2×M16—861no—
474C2×M16—861no—
475C2×M16C22⋊D4312yes—
476C2×M16C22⋊D4312yes—
477C2×M16C22×D4312yes—
478C2×M16C22×D4312yes—
479C22×C8—21no—
480C22×C8—21no—
481C22×C8—861no—
482C22×C8—861no—
483#117—432no—
484#117—861no—
485#117—861no—
486#117—861no—
487C2×C4⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C42—861no—
490#108—868no—
491#104—868no—
492#103—868no—
493#101—28no—
494#101—864no—
495#100—864no—
496C24—861no—
497C24#1062189811yescharacteristic
498#41—862no—
499#41—862no—
500#41—862no—
501#41—862no—
502#41—862no—
503#41—862no—
504#41—862no—
505#41—862no—
506#41—1721no—
507#41—1721no—
508#41—1721no—
509#41—1721no—
510#41—1721no—
511#41—1721no—
512#41—1721no—
513#41—1721no—
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—432no—
542C2×Q8—861no—
543C2×Q8—861no—
544C2×Q8—861no—
545C2×Q8—861no—
546C2×Q8—861no—
547C2×Q8C2×D17214yes—
548C2×D4—432no—
549C2×D4—862no—
550C2×D4—862no—
551C2×D4—861no—
552C2×D4—861no—
553C2×D4—861no—
554C2×D4—861no—
555C2×D4—861no—
556C2×D4—1721no—
557C2×D4—1721no—
558C2×D4—1721no—
559C2×D4—1721no—
560C22×C4—22no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—41no—
564C22×C4—41no—
565C22×C4—41no—
566C22×C4—41no—
567C22×C4—861no—
568C22×C4—862no—
569C22×C4—862no—
570C22×C4—1721no—
571C22×C4—1721no—
572C22×C4—1721no—
573C22×C4—1721no—
574C22×C4—1721no—
575C22×C4C2×D17211yescharacteristic
576C22×C4C2×D17211yescharacteristic
577C22×C4#1062189811yescharacteristic
578C22×C4D4×D4311yescharacteristic
579C22×C4D4×D4311yescharacteristic
580C22×C4D4×D4311yescharacteristic
581C22×C4D4×D4311yescharacteristic
582C22×C4#1062190011yescharacteristic
583C22×C4#1062190011yescharacteristic
584C22×C4#1062190011yescharacteristic
585C22×C4#1062190011yescharacteristic
586C22×C4C2×C22⋊D4311yescharacteristic
587C22×C4C2×C22⋊D4311yescharacteristic
588C22×C4C23×D4311yescharacteristic
589Q16—8616no—
590SD16—8616no—
591M16—22no—
592M16—22no—
593M16—22no—
594M16—22no—
595M16—22no—
596M16—41no—
597M16—41no—
598M16—434no—
599M16—862no—
600M16—862no—
601M16—862no—
602M16—862no—
603M16—862no—
604M16—1721no—
605M16—1721no—
606M16C2×C22⋊D4314yes—
607C2×C8—22no—
608C2×C8—22no—
609C2×C8—22no—
610C2×C8—22no—
611C2×C8—41no—
612C2×C8—41no—
613C2×C8—862no—
614C2×C8—862no—
615C2×C8—862no—
616C2×C8—862no—
617C2×C8—1721no—
618C2×C8—1721no—
619C4⋊C4—862no—
620C4⋊C4—1721no—
621C22⋊C4—862no—
622C22⋊C4—1721no—
623C42—862no—
624C42—1721no—
625C23—42no—
626C23—862no—
627C23—3442no—
628C23—1721no—
629C23—1721no—
630C23#1306329911yescharacteristic
631C23#1306329911yescharacteristic
632C23#1306330711yescharacteristic
633C23#1306330711yescharacteristic
634C23#1306331111yescharacteristic
635C23#1306331111yescharacteristic
636C23C2×#1062189811yescharacteristic
637Q8—24no—
638Q8—24no—
639Q8—42no—
640Q8—42no—
641Q8—42no—
642Q8—42no—
643Q8—42no—
644Q8—42no—
645Q8—862no—
646Q8—862no—
647Q8—1721no—
648Q8—1721no—
649D4—862no—
650D4—862no—
651D4—1722no—
652D4—1722no—
653D4—1722no—
654D4—1722no—
655D4—1721no—
656D4—1721no—
657C2×C4—24no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—862no—
665C2×C4—3442no—
666C2×C4—1722no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1722no—
670C2×C4—1722no—
671C2×C4—1722no—
672C2×C4—1722no—
673C2×C4#1306329511yescharacteristic
674C2×C4#1306329511yescharacteristic
675C2×C4#1306329511yescharacteristic
676C2×C4#1306329511yescharacteristic
677C2×C4#1306329611yescharacteristic
678C2×C4#1306329611yescharacteristic
679C2×C4#1306329611yescharacteristic
680C2×C4#1306329611yescharacteristic
681C2×C4#1306329711yescharacteristic
682C2×C4#1306329711yescharacteristic
683C2×C4#1306329711yescharacteristic
684C2×C4#1306329711yescharacteristic
685C2×C4#1306329911yescharacteristic
686C2×C4#1306329911yescharacteristic
687C2×C4#1306330711yescharacteristic
688C2×C4#1306330711yescharacteristic
689C2×C4#1306330911yescharacteristic
690C2×C4#1306330911yescharacteristic
691C2×C4#1306330911yescharacteristic
692C2×C4#1306330911yescharacteristic
693C2×C4#1306331111yescharacteristic
694C2×C4#1306331111yescharacteristic
695C2×C4C2×D4×D4311yescharacteristic
696C2×C4C2×D4×D4311yescharacteristic
697C2×C4C22×C22⋊D4311yescharacteristic
698C2×C4C22×D17211yescharacteristic
699C2×C4C2×#1062190011yescharacteristic
700C2×C4C2×#1062190011yescharacteristic
701C8—24no—
702C8—42no—
703C8—864no—
704C8—1722no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—3442no—
713C22—3442no—
714C22—3442no—
715C22—1722no—
716C22#1458281511yescharacteristic
717C22#1458281511yescharacteristic
718C22#1458281511yescharacteristic
719C22#1458281511yescharacteristic
720C22C2×#1306329911yescharacteristic
721C22C2×#1306330711yescharacteristic
722C22C2×#1306331111yescharacteristic
723C4—44no—
724C4—3442no—
725C4—1722no—
726C4#1458281511yescharacteristic
727C4#1458281511yescharacteristic
728C4#1458281511yescharacteristic
729C4#1458281511yescharacteristic
730C4C2×#1306329511yescharacteristic
731C4C2×#1306329611yescharacteristic
732C4C2×#1306329711yescharacteristic
733C4C2×#1306330911yescharacteristic
734C2—21no—
735C2—21no—
736C2—21no—
737C2—21no—
738C2—21no—
739C2—21no—
740C2—3442no—
741C2#1913587412yesdirect product factor
742C2C2×#1458281511yescharacteristic
subgroupG/H
centerC22#14582815
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC22×#101×C43C2
socleC22×C43#394
prime radicalC22×#10621898C22
hypercenterC22×#101D43
hypocenterC43C2×#2049
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#101

Complements

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

NH ≅ G/Ntype
2. C2×#14582948C2semidirect
4. C2×#14582908C2semidirect
6. #19135874C2direct (N × H)
7. C2×#14582670C2semidirect
8. C22×#101×C43C2semidirect
22. #14582948C22semidirect
28. #14582908C22semidirect
34. #14582670C22semidirect
40. C2×#101×C43C22semidirect
368. C22×#101D43semidirect
377. C2×C43#2049semidirect
409. C2×#101C2×D43semidirect
412. C43C2×#2049semidirect
741. C2#19135874direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130633562
C2×#145829482
C2×#145829152
C2×#145829082
C2×#145828812
#191358742
C2×#145826702
C22×#101×C432
C2×#204943