Finite Group Databasebeta

← #25033251

Subgroups — #25033251

Order 11008.

1846 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582828C212yesmaximal, complemented
2C2×#14582827C212yesmaximal, complemented
3C2×#14582799C211yesmaximal, characteristic
4C2×#14582799C212yesmaximal
5C2×#14582768C211yesmaximal, characteristic, complemented
6#19132841C211yesmaximal, characteristic, complemented
7#19132840C211yesmaximal, characteristic, complemented
8#19132837C211yesmaximal, characteristic, complemented
9Dic43⋊#95C212yesmaximal, complemented
10#95×Dic43C211yesmaximal, characteristic, complemented
11C43×#1439C211yesmaximal, characteristic, complemented
12C23×C22⋊D43C2211yescharacteristic
13C22×C4⋊Dic43C2211yescharacteristic
14C22×Dic43⋊C4C2211yescharacteristic
15C22×Dic43⋊C4C2212yes—
16C22×Dic43⋊C4C2212yes—
17C22×C22⋊Dic43C2211yescharacteristic
18C22×C22⋊Dic43C2212yes—
19C22×(C2×D43)⋊C4C2211yescharacteristic
20C22×(C2×D43)⋊C4C2211yescharacteristic
21C22×(C2×D43)⋊C4C2212yes—
22C22×(C2×D43)⋊C4C2212yes—
23C22×C4×Dic43C2212yes—
24C22×C4×Dic43C2211yescharacteristic
25#14582828—28no—
26#14582827—28no—
27#14582799—28no—
28#14582799—24no—
29#14582768—24no—
30C2×C43⋊#95C2212yes—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2212yes—
33C2×C43⋊#95C2211yescharacteristic
34C2×C43⋊#95C2212yes—
35C22×C4⋊C4×C43C2211yescharacteristic
36C22×C22⋊C4×C43C2211yescharacteristic
37C22×C22⋊C4×C43C2212yes—
38C2×#95×C43C2212yes—
39C2×#95×C43C2211yescharacteristic
40C24×D43C2311yescharacteristic
41C22×C22⋊D43—22no—
42C22×C22⋊D43—22no—
43C22×C22⋊D43—24no—
44C22×C22⋊D43—24no—
45C22×C22⋊D43D414yes—
46C23×Dic43C2312yes—
47C23×Dic43C2311yescharacteristic
48C23×Dic43C2312yes—
49C23×Dic43C2311yescharacteristic
50C23×Dic43C2311yescharacteristic
51C2×C4⋊Dic43—22no—
52C2×C4⋊Dic43—42no—
53C2×Dic43⋊C4—24no—
54C2×Dic43⋊C4—22no—
55C2×Dic43⋊C4—24no—
56C2×Dic43⋊C4—24no—
57C2×Dic43⋊C4—24no—
58C2×Dic43⋊C4—24no—
59C2×Dic43⋊C4—24no—
60C2×Dic43⋊C4—24no—
61C2×C22⋊Dic43—24no—
62C2×C22⋊Dic43—22no—
63C2×C22⋊Dic43—24no—
64C2×C22⋊Dic43—24no—
65C2×C22⋊Dic43—42no—
66C2×(C2×D43)⋊C4—24no—
67C2×(C2×D43)⋊C4—24no—
68C2×(C2×D43)⋊C4—22no—
69C2×(C2×D43)⋊C4—24no—
70C2×(C2×D43)⋊C4—22no—
71C2×(C2×D43)⋊C4—22no—
72C2×(C2×D43)⋊C4—22no—
73C2×(C2×D43)⋊C4—24no—
74C2×(C2×D43)⋊C4—24no—
75C2×(C2×D43)⋊C4—42no—
76C2×(C2×D43)⋊C4—42no—
77C2×C4×Dic43—24no—
78C2×C4×Dic43—24no—
79C2×C4×Dic43—24no—
80C2×C4×Dic43—24no—
81C2×C4×Dic43D414yes—
82C43⋊#95—24no—
83C43⋊#95—22no—
84C43⋊#95—24no—
85C43⋊#95—24no—
86C43⋊#95D418yescomplemented
87C25×C43C2311yescharacteristic
88C23×C4×C43C2312yes—
89C23×C4×C43C2311yescharacteristic
90C23×C4×C43C2312yes—
91C23×C4×C43C2311yescharacteristic
92C2×C4⋊C4×C43—22no—
93C2×C4⋊C4×C43—42no—
94C2×C22⋊C4×C43—24no—
95C2×C22⋊C4×C43—22no—
96C2×C22⋊C4×C43—24no—
97C2×C22⋊C4×C43—22no—
98C2×C22⋊C4×C43—22no—
99C2×C22⋊C4×C43—42no—
100#95×C43—24no—
101#95×C43—22no—
102C24×C43—22no—
103C24×C43—21no—
104C24×C43—21no—
105C24×C43—21no—
106C24×C43—21no—
107C24×C43—22no—
108C24×C43—22no—
109C24×C43—22no—
110C24×C43—21no—
111C24×C43—21no—
112C24×C43C2×D412yes—
113C24×C43C2411yescharacteristic
114C23×D43—22no—
115C23×D43—21no—
116C23×D43—21no—
117C23×D43—21no—
118C23×D43—21no—
119C23×D43—22no—
120C23×D43—22no—
121C23×D43—22no—
122C23×D43—21no—
123C23×D43—21no—
124C23×D43C2×D412yes—
125C22×C4×C43—22no—
126C22×C4×C43—22no—
127C22×C4×C43—22no—
128C22×C4×C43—22no—
129C22×C4×C43—22no—
130C22×C4×C43—21no—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—22no—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—22no—
143C22×C4×C43—22no—
144C22×C4×C43—22no—
145C22×C4×C43C2×D414yes—
146C22×C4×C43C2×D412yes—
147C22×C4×C43#4112yes—
148C22×C4×C43#4112yes—
149C2×C22⋊D43—28no—
150C2×C22⋊D43—216no—
151C2×C22⋊D43—44no—
152C2×C22⋊D43—44no—
153C2×C22⋊D43—48no—
154C22×Dic43—22no—
155C22×Dic43—22no—
156C22×Dic43—22no—
157C22×Dic43—22no—
158C22×Dic43—22no—
159C22×Dic43—21no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—22no—
175C22×Dic43C2×D414yes—
176C22×Dic43C2×D414yes—
177C22×Dic43C2×D412yes—
178C22×Dic43C2×D412yes—
179C22×Dic43C2×D412yes—
180C22×Dic43#4112yes—
181C22×Dic43#4114yes—
182C22×Dic43#4114yes—
183C4⋊C4×C43—44no—
184C22⋊C4×C43—48no—
185C22⋊C4×C43—44no—
186C22⋊Dic43—48no—
187C22⋊Dic43—44no—
188(C2×D43)⋊C4—48no—
189(C2×D43)⋊C4—48no—
190(C2×D43)⋊C4—44no—
191(C2×D43)⋊C4—44no—
192C4⋊Dic43—44no—
193Dic43⋊C4—48no—
194Dic43⋊C4—44no—
195Dic43⋊C4—48no—
196C4×Dic43—28no—
197C4×Dic43—48no—
198C23×C43—22no—
199C23×C43—24no—
200C23×C43—24no—
201C23×C43—22no—
202C23×C43—22no—
203C23×C43—41no—
204C23×C43—41no—
205C23×C43—41no—
206C23×C43—42no—
207C23×C43—41no—
208C23×C43—42no—
209C23×C43—42no—
210C23×C43—41no—
211C23×C43—41no—
212C23×C43—42no—
213C23×C43—42no—
214C23×C43—42no—
215C23×C43—42no—
216C23×C43—42no—
217C23×C43—42no—
218C23×C43—42no—
219C23×C43—41no—
220C23×C43—41no—
221C23×C43C22×D411yescharacteristic
222C23×C43C22×D411yescharacteristic
223C23×C43C22×D412yes—
224C23×C43C2×#4111yescharacteristic
225C23×C43C2×#4112yes—
226C23×C43C2×#4112yes—
227C23×C43C2×#4111yescharacteristic
228C23×C43C2×#4111yescharacteristic
229C23×C43H(5,𝔽2)12yes—
230C23×C432−1+411yescharacteristic
231C23×C432−1+411yescharacteristic
232C22×D43—22no—
233C22×D43—24no—
234C22×D43—24no—
235C22×D43—22no—
236C22×D43—22no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—42no—
241C22×D43—41no—
242C22×D43—42no—
243C22×D43—42no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—42no—
247C22×D43—42no—
248C22×D43—42no—
249C22×D43—42no—
250C22×D43—42no—
251C22×D43—42no—
252C22×D43—42no—
253C22×D43—41no—
254C22×D43—41no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—24no—
258C2×C4×C43—24no—
259C2×C4×C43—24no—
260C2×C4×C43—24no—
261C2×C4×C43—24no—
262C2×C4×C43—42no—
263C2×C4×C43—42no—
264C2×C4×C43—42no—
265C2×C4×C43—42no—
266C2×C4×C43—42no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—42no—
270C2×C4×C43—41no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43—42no—
274C2×C4×C43—42no—
275C2×C4×C43—42no—
276C2×C4×C43—42no—
277C2×C4×C43—42no—
278C2×C4×C43#12414yes—
279C22⋊D43—416no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—24no—
283C2×Dic43—24no—
284C2×Dic43—24no—
285C2×Dic43—24no—
286C2×Dic43—24no—
287C2×Dic43—42no—
288C2×Dic43—42no—
289C2×Dic43—42no—
290C2×Dic43—42no—
291C2×Dic43—42no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—42no—
295C2×Dic43—41no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—42no—
303C2×Dic43#12114yes—
304C2×Dic43#12314yes—
305C2×Dic43#12318yes—
306C2×Dic43#12414yes—
307C2×Dic43#12618yes—
308C2×Dic43#12714yes—
309#15136—431nomaximal, Sylow
310C22×C43—42no—
311C22×C43—44no—
312C22×C43—44no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43—82no—
320C22×C43—82no—
321C22×C43C2×#12111yescharacteristic
322C22×C43C2×#12312yes—
323C22×C43C2×#12311yescharacteristic
324C22×C43C2×#12411yescharacteristic
325C22×C43C2×#12411yescharacteristic
326C22×C43C2×#12612yes—
327C22×C43C2×#12711yescharacteristic
328C22×C43#53212yes—
329C22×C43#53212yes—
330C22×C43#53511yescharacteristic
331C22×C43#53611yescharacteristic
332C22×C43#54212yes—
333C22×C43#54212yes—
334C22×C43D4212yes—
335C22×C43#54712yes—
336C22×C43#54711yescharacteristic
337C22×C43#54711yescharacteristic
338C22×C43#54712yes—
339C22×C43#55012yes—
340C22×C43#55312yes—
341C22×C43#55312yes—
342C22×C43#55611yescharacteristic
343C22×C43#55611yescharacteristic
344C2×D43—42no—
345C2×D43—44no—
346C2×D43—44no—
347C2×D43—42no—
348C2×D43—42no—
349C2×D43—81no—
350C2×D43—81no—
351C2×D43—81no—
352C2×D43—81no—
353C2×D43—82no—
354C2×D43—82no—
355C4×C43—24no—
356C4×C43—44no—
357C4×C43—81no—
358C4×C43—82no—
359Dic43—24no—
360Dic43—44no—
361Dic43—81no—
362Dic43—82no—
363Dic43#39718yescomplemented
364C2×#397—432no—
365C2×#397—432no—
366C2×#390—431no—
367C2×#390—432no—
368C2×#384—431no—
369#1439—431no—
370#1439—431no—
371#1439—431no—
372#1439D4311yescharacteristic, complemented
373C4⋊#95—432no—
374C4×#95—431no—
375C2×C43—82no—
376C2×C43C2×#39711yescharacteristic
377C2×C43#242212yes—
378C2×C43#242212yes—
379C2×C43#250111yescharacteristic
380C2×C43#250411yescharacteristic
381C2×C43#251212yes—
382C2×C43#251212yes—
383C2×C43#254111yescharacteristic
384C2×C43#254711yescharacteristic
385C2×C43#264011yescharacteristic
386C2×C43#285811yescharacteristic
387D43—82no—
388C23×D4—431no—
389C22×C4⋊C4—432no—
390C22×C4⋊C4—431no—
391C22×C4⋊C4—432no—
392C22×C4⋊C4—431no—
393C22×C4⋊C4C2×D4311yescharacteristic
394C22×C22⋊C4—431no—
395C22×C22⋊C4—431no—
396C22×C22⋊C4—431no—
397C22×C22⋊C4—432no—
398C22×C22⋊C4—432no—
399C22×C22⋊C4—432no—
400C22×C22⋊C4C2×D4311yescharacteristic
401C22×C22⋊C4C2×D4312yes—
402C22×C42—431no—
403C22×C42—432no—
404#397—868no—
405#397—868no—
406#390—864no—
407#390—868no—
408#384—864no—
409C2×#95—432no—
410C2×#95—432no—
411C2×#95—432no—
412C2×#95—432no—
413C2×#95—431no—
414C2×#95C2×D4312yes—
415C2×#95C2×D4311yescharacteristic
416C43#1513611yescharacteristic, complemented, Sylow
417C25—431no—
418C25C22×D4311yescharacteristic
419C22×D4—434no—
420C22×D4—862no—
421C22×D4—864no—
422C22×D4—864no—
423C22×D4—862no—
424C23×C4—431no—
425C23×C4—431no—
426C23×C4—432no—
427C23×C4—432no—
428C23×C4—431no—
429C23×C4C22×D4312yes—
430C23×C4C22×D4311yescharacteristic
431C23×C4C22×D4312yes—
432C23×C4C22×D4311yescharacteristic
433C2×C4⋊C4—22no—
434C2×C4⋊C4—42no—
435C2×C4⋊C4—864no—
436C2×C4⋊C4—864no—
437C2×C4⋊C4—864no—
438C2×C4⋊C4—864no—
439C2×C4⋊C4—862no—
440C2×C4⋊C4—864no—
441C2×C4⋊C4—864no—
442C2×C4⋊C4—864no—
443C2×C4⋊C4—862no—
444C2×C4⋊C4—1722no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—22no—
450C2×C22⋊C4—42no—
451C2×C22⋊C4—862no—
452C2×C22⋊C4—864no—
453C2×C22⋊C4—864no—
454C2×C22⋊C4—864no—
455C2×C22⋊C4—864no—
456C2×C22⋊C4—862no—
457C2×C22⋊C4—864no—
458C2×C22⋊C4—864no—
459C2×C22⋊C4—864no—
460C2×C22⋊C4—862no—
461C2×C22⋊C4—862no—
462C2×C22⋊C4—864no—
463C2×C22⋊C4—862no—
464C2×C22⋊C4—1722no—
465C2×C22⋊C4—1722no—
466C2×C22⋊C4—1722no—
467C2×C42—434no—
468C2×C42—864no—
469C2×C42—864no—
470C2×C42—864no—
471C2×C42—864no—
472#95—24no—
473#95—22no—
474#95—438no—
475#95—864no—
476#95—864no—
477#95—862no—
478#95—864no—
479C24—22no—
480C24—21no—
481C24—21no—
482C24—22no—
483C24—22no—
484C24—21no—
485C24—21no—
486C24—22no—
487C24—21no—
488C24—21no—
489C24—432no—
490C24—862no—
491C24—861no—
492C24—861no—
493C24—862no—
494C24—862no—
495C24—861no—
496C24—861no—
497C24—862no—
498C24—861no—
499C24—861no—
500C24D4×D4312yes—
501C24C23×D4311yescharacteristic
502C2×D4—868no—
503C2×D4—8616no—
504C2×D4—1724no—
505C2×D4—1724no—
506C2×D4—1728no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—432no—
528C22×C4—432no—
529C22×C4—434no—
530C22×C4—434no—
531C22×C4—432no—
532C22×C4—434no—
533C22×C4—432no—
534C22×C4—434no—
535C22×C4—862no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—861no—
549C22×C4—862no—
550C22×C4—862no—
551C22×C4—862no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4#1062189812yes—
557C22×C4D4×D4314yes—
558C22×C4D4×D4312yes—
559C22×C4#1062190012yes—
560C4⋊C4—44no—
561C4⋊C4—1724no—
562C4⋊C4—1728no—
563C4⋊C4—1724no—
564C4⋊C4—1728no—
565C22⋊C4—48no—
566C22⋊C4—44no—
567C22⋊C4—1728no—
568C22⋊C4—1724no—
569C22⋊C4—1728no—
570C22⋊C4—1724no—
571C22⋊C4—1728no—
572C22⋊C4—1724no—
573C42—868no—
574C42—1728no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—22no—
579C23—22no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—41no—
590C23—42no—
591C23—42no—
592C23—41no—
593C23—41no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—862no—
599C23—864no—
600C23—864no—
601C23—862no—
602C23—862no—
603C23—1722no—
604C23—1722no—
605C23—1722no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23—1721no—
610C23—1721no—
611C23—1722no—
612C23—1721no—
613C23—1722no—
614C23—1722no—
615C23—1721no—
616C23—1721no—
617C23—1722no—
618C23—1722no—
619C23—1722no—
620C23—1722no—
621C23C2×D4×D4312yes—
622C23C2×D4×D4311yescharacteristic
623C23C2×D4×D4311yescharacteristic
624C23#41×D4311yescharacteristic
625C23#41×D4312yes—
626C23#41×D4312yes—
627C23C2×#1062190011yescharacteristic
628C23C2×#1062189811yescharacteristic
629C23#1306337012yes—
630C23#1306337211yescharacteristic
631C23#1306337311yescharacteristic
632D4—17216no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—434no—
657C2×C4—434no—
658C2×C4—438no—
659C2×C4—434no—
660C2×C4—438no—
661C2×C4—434no—
662C2×C4—862no—
663C2×C4—862no—
664C2×C4—864no—
665C2×C4—864no—
666C2×C4—864no—
667C2×C4—864no—
668C2×C4—864no—
669C2×C4—1722no—
670C2×C4—1722no—
671C2×C4—1722no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1722no—
676C2×C4—1722no—
677C2×C4—1722no—
678C2×C4—1722no—
679C2×C4—1722no—
680C2×C4—1722no—
681C2×C4—1722no—
682C2×C4—1722no—
683C2×C4—1722no—
684C2×C4—1722no—
685C2×C4#1306331114yes—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—44no—
690C22—42no—
691C22—81no—
692C22—81no—
693C22—82no—
694C22—82no—
695C22—81no—
696C22—81no—
697C22—3441no—
698C22—3441no—
699C22—3442no—
700C22—3442no—
701C22—3441no—
702C22—3441no—
703C22—1722no—
704C22—1722no—
705C22—1724no—
706C22—1724no—
707C22—1722no—
708C22#121×D4311yescharacteristic
709C22#123×D4311yescharacteristic
710C22#123×D4312yes—
711C22#124×D4311yescharacteristic
712C22C2×#1306331111yescharacteristic
713C22#126×D4312yes—
714C22#127×D4311yescharacteristic
715C22#1458344412yes—
716C22#1458344612yes—
717C22#1458346411yescharacteristic
718C22#1458347211yescharacteristic
719C22#1458351312yes—
720C22#1458351912yes—
721C22#1458353112yes—
722C22#1458354712yes—
723C22#1458354911yescharacteristic
724C22#1458355011yescharacteristic
725C22#1458355112yes—
726C22#1458356712yes—
727C22#1458359212yes—
728C22#1458359812yes—
729C22#1458361711yescharacteristic
730C22#1458362011yescharacteristic
731C4—24no—
732C4—44no—
733C4—81no—
734C4—82no—
735C4—438no—
736C4—864no—
737C4—3441no—
738C4—3442no—
739C4—1724no—
740C2—82no—
741C2—3442no—
742C2#397×D4311yescharacteristic
743C2#1913810212yes—
744C2#1913810812yes—
745C2#1913906111yescharacteristic
746C2#1913908511yescharacteristic
747C2#1913917412yes—
748C2#1913917812yes—
749C2#1913953611yescharacteristic
750C2#1913958911yescharacteristic
751C2#1914053311yescharacteristic
752C2#1914294911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D43
commutator, socle, cosocleC24×C43C24
FittingC43×#1439C2
prime radicalC23×C22⋊D43C22
hypercenter#1439D43
hypocenterC43#15136
LCSG ▷ C24×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
1. C2×#14582828C2semidirect
2. C2×#14582827C2semidirect
5. C2×#14582768C2semidirect
6. #19132841C2semidirect
7. #19132840C2semidirect
8. #19132837C2semidirect
9. Dic43⋊#95C2semidirect
10. #95×Dic43C2semidirect
11. C43×#1439C2semidirect
86. C43⋊#95D4semidirect
363. Dic43#397semidirect
372. #1439D43semidirect
416. C43#15136semidirect

Maximal subgroups

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

subgroupindex
C2×#145828282
C2×#145828272
C2×#145827992
C2×#145827682
#191328412
#191328402
#191328372
Dic43⋊#952
#95×Dic432
C43×#14392
#1513643