Finite Group Databasebeta

← #25018002

Subgroups — #25018002

Order 11008.

2398 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063281C211yesmaximal, characteristic
2C2×#14582760C211yesmaximal, characteristic
3C2×C22⋊C4×Dic43C211yesmaximal, characteristic
4C22×C43⋊#95C211yesmaximal, characteristic
5#19132830C212yesmaximal, complemented
6#19132828C212yesmaximal, complemented
7#19132819C212yesmaximal, complemented
8#19132818C211yesmaximal, characteristic
9#19132817C211yesmaximal, characteristic
10C4×C43⋊#95C212yesmaximal, complemented
11C2×C4×C22⋊C4×C43C211yesmaximal, characteristic
12C24×Dic43C2211yescharacteristic
13C24×Dic43C2211yescharacteristic
14C2×#13063281—24no—
15C2×#13063281—24no—
16C2×#13063281C418yescomplemented
17C22×Dic43⋊C4C2212yes—
18C22×C22⋊Dic43C2211yescharacteristic
19C22×C22⋊Dic43C2211yescharacteristic
20C22×C4×Dic43C2212yes—
21C22×C4×Dic43C2212yes—
22#14582760C418yescomplemented
23C22⋊C4×Dic43—24no—
24C2×C43⋊#95C418yescomplemented
25C2×C43⋊#95C2212yes—
26C2×C43⋊#95C2212yes—
27C2×C43⋊#95C2212yes—
28C2×C43⋊#95C2212yes—
29C2×C43⋊#95C2212yes—
30C2×C43⋊#95C2211yescharacteristic
31C2×C43⋊#95C2211yescharacteristic
32C2×C43⋊#95C2211yescharacteristic
33C2×C43⋊#95C2211yescharacteristic
34C2×C43⋊#95C2212yes—
35C2×C43⋊#95C2212yes—
36C24×C4×C43C2211yescharacteristic
37C22×C22⋊C4×C43C2211yescharacteristic
38C22×C22⋊C4×C43C2211yescharacteristic
39C22×C42×C43C2212yes—
40C4×C22⋊C4×C43—24no—
41C2×#95×C43C2212yes—
42C23×Dic43—22no—
43C23×Dic43—22no—
44C23×Dic43—22no—
45C23×Dic43—22no—
46C23×Dic43—22no—
47C23×Dic43—22no—
48C23×Dic43—24no—
49C23×Dic43—42no—
50C23×Dic43C2×C414yes—
51C23×Dic43C2×C414yes—
52C23×Dic43C2×C414yes—
53C23×Dic43C2×C414yes—
54C23×Dic43C2312yes—
55C23×Dic43C2312yes—
56C23×Dic43C2311yescharacteristic
57C23×Dic43C2311yescharacteristic
58C23×Dic43C2311yescharacteristic
59C23×Dic43C2311yescharacteristic
60#13063281—232no—
61C2×Dic43⋊C4—24no—
62C2×Dic43⋊C4—24no—
63C2×Dic43⋊C4C2×C418yescomplemented
64C2×C22⋊Dic43—22no—
65C2×C22⋊Dic43—22no—
66C2×C22⋊Dic43—22no—
67C2×C22⋊Dic43—22no—
68C2×C22⋊Dic43C2×C414yes—
69C2×C22⋊Dic43C2×C414yes—
70C2×C4×Dic43—24no—
71C2×C4×Dic43—24no—
72C2×C4×Dic43—24no—
73C2×C4×Dic43—24no—
74C2×C4×Dic43—42no—
75C2×C4×Dic43C2×C418yescomplemented
76C43⋊#95—24no—
77C43⋊#95—24no—
78C43⋊#95—24no—
79C43⋊#95—42no—
80C43⋊#95—42no—
81C43⋊#95C2×C414yes—
82C43⋊#95C2×C414yes—
83C43⋊#95C2×C414yes—
84C43⋊#95C2×C414yes—
85C43⋊#95C2×C418yescomplemented
86C43⋊#95C2×C418yescomplemented
87C25×C43C2311yescharacteristic
88C23×C4×C43—22no—
89C23×C4×C43—22no—
90C23×C4×C43—24no—
91C23×C4×C43—42no—
92C23×C4×C43C2×C414yes—
93C23×C4×C43C2312yes—
94C23×C4×C43C2311yescharacteristic
95C23×C4×C43C2312yes—
96C23×C4×C43C2311yescharacteristic
97C2×C22⋊C4×C43—22no—
98C2×C22⋊C4×C43—22no—
99C2×C22⋊C4×C43C2×C414yes—
100C2×C22⋊C4×C43C2×C414yes—
101C2×C22⋊C4×C43D414yes—
102C2×C22⋊C4×C43D414yes—
103C2×C42×C43—24no—
104C2×C42×C43—24no—
105C2×C42×C43—42no—
106#95×C43—24no—
107C24×C43—22no—
108C24×C43—22no—
109C24×C43—22no—
110C24×C43—22no—
111C24×C43C22×C412yes—
112C24×C43C22×C412yes—
113C24×C43C22×C412yes—
114C24×C43C2×D412yes—
115C24×C43C2×D412yes—
116C24×C43#4112yes—
117C24×C43#4112yes—
118C24×C43C2411yescharacteristic
119C22×C4×C43—28no—
120C22×C4×C43—28no—
121C22×C4×C43—21no—
122C22×C4×C43—21no—
123C22×C4×C43—22no—
124C22×C4×C43—22no—
125C22×C4×C43—21no—
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—22no—
137C22×C4×C43—22no—
138C22×C4×C43—44no—
139C22×C4×C43—48no—
140C22×C4×C43—48no—
141C22×C4×C43C22×C414yes—
142C22×C4×C43C22×C412yes—
143C22×C4×C43C22×C414yes—
144C22×C4×C43C22×C412yes—
145C22×C4×C43C2×D414yes—
146C22×C4×C43C2×D414yes—
147C22×C4×C43#4114yes—
148C22×Dic43—28no—
149C22×Dic43—28no—
150C22×Dic43—28no—
151C22×Dic43—28no—
152C22×Dic43—28no—
153C22×Dic43—28no—
154C22×Dic43—28no—
155C22×Dic43—28no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—21no—
177C22×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—22no—
180C22×Dic43—22no—
181C22×Dic43—22no—
182C22×Dic43—22no—
183C22×Dic43—44no—
184C22×Dic43—48no—
185C22×Dic43—48no—
186C22×Dic43C42116yescomplemented
187C22×Dic43C22×C412yes—
188C22×Dic43C22×C414yes—
189C22×Dic43C22×C414yes—
190C22×Dic43C22×C412yes—
191C22×Dic43C22×C412yes—
192C22×Dic43C22×C412yes—
193C22×Dic43C22×C412yes—
194C22×Dic43C22×C412yes—
195C22×Dic43C22×C412yes—
196C22×Dic43C22×C412yes—
197C22×Dic43#4114yes—
198C22⋊C4×C43—28no—
199C22⋊C4×C43C22⋊C4116yes—
200C42×C43—48no—
201C22⋊Dic43—28no—
202C22⋊Dic43—28no—
203Dic43⋊C4—216no—
204C4×Dic43—216no—
205C4×Dic43—48no—
206C23×C43—22no—
207C23×C43—22no—
208C23×C43—24no—
209C23×C43—24no—
210C23×C43—22no—
211C23×C43—22no—
212C23×C43—24no—
213C23×C43—24no—
214C23×C43—24no—
215C23×C43—24no—
216C23×C43—24no—
217C23×C43—24no—
218C23×C43—24no—
219C23×C43—24no—
220C23×C43—24no—
221C23×C43—24no—
222C23×C43C2×C4214yes—
223C23×C43C2×C22⋊C414yes—
224C23×C43#11714yes—
225C23×C43C4×D414yes—
226C23×C43C4×D414yes—
227C23×C43C4×D414yes—
228C23×C43C4×D414yes—
229C23×C43C23×C411yescharacteristic
230C23×C43C23×C411yescharacteristic
231C23×C43C23×C411yescharacteristic
232C23×C43C22×D411yescharacteristic
233C23×C43C22×D411yescharacteristic
234C23×C43C2×#4112yes—
235C23×C43C2×#4112yes—
236C23×C43C2×#4111yescharacteristic
237C23×C43C2×#4111yescharacteristic
238C23×C43H(5,𝔽2)12yes—
239C23×C432−1+412yes—
240C2×C4×C43—22no—
241C2×C4×C43—24no—
242C2×C4×C43—22no—
243C2×C4×C43—24no—
244C2×C4×C43—24no—
245C2×C4×C43—24no—
246C2×C4×C43—24no—
247C2×C4×C43—24no—
248C2×C4×C43—24no—
249C2×C4×C43—24no—
250C2×C4×C43—22no—
251C2×C4×C43—24no—
252C2×C4×C43—22no—
253C2×C4×C43—24no—
254C2×C4×C43—22no—
255C2×C4×C43—24no—
256C2×C4×C43—416no—
257C2×C4×C43—42no—
258C2×C4×C43—42no—
259C2×C4×C43—42no—
260C2×C4×C43—42no—
261C2×C4×C43—42no—
262C2×C4×C43—42no—
263C2×C4×C43C2×C22⋊C418yes—
264C2×C4×C43#11714yescomplemented
265C2×Dic43—22no—
266C2×Dic43—22no—
267C2×Dic43—22no—
268C2×Dic43—22no—
269C2×Dic43—22no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—24no—
280C2×Dic43—24no—
281C2×Dic43—232no—
282C2×Dic43—24no—
283C2×Dic43—22no—
284C2×Dic43—24no—
285C2×Dic43—22no—
286C2×Dic43—24no—
287C2×Dic43—24no—
288C2×Dic43—22no—
289C2×Dic43—24no—
290C2×Dic43—24no—
291C2×Dic43—416no—
292C2×Dic43—42no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43C2×C4214yes—
303C2×Dic43C2×C4214yes—
304C2×Dic43#11714yescomplemented
305#13799—431nomaximal, Sylow
306C22×C43—28no—
307C22×C43—24no—
308C22×C43—24no—
309C22×C43—28no—
310C22×C43—24no—
311C22×C43—24no—
312C22×C43—28no—
313C22×C43—28no—
314C22×C43—24no—
315C22×C43—24no—
316C22×C43C4×C22⋊C418yes—
317C22×C43C22×C4211yescharacteristic
318C22×C43C22×C22⋊C411yescharacteristic
319C22×C43C2×#11711yescharacteristic
320C22×C43C2×#11711yescharacteristic
321C22×C43C2×#11711yescharacteristic
322C22×C43C2×C4×D411yescharacteristic
323C22×C43C2×C4×D411yescharacteristic
324C22×C43C2×C4×D411yescharacteristic
325C22×C43C2×C4×D411yescharacteristic
326C22×C43C4×#4112yes—
327C22×C43C4×#4112yes—
328C22×C43#51811yescharacteristic
329C22×C43#51911yescharacteristic
330C22×C43#52012yes—
331C22×C43#52012yes—
332C22×C43#54612yes—
333C22×C43#54612yes—
334C22×C43#54712yes—
335C22×C43#54712yes—
336C22×C43#55112yes—
337C22×C43#55112yes—
338C22×C43#55212yes—
339C22×C43#55212yes—
340C4×C43—28no—
341C4×C43—24no—
342C4×C43—42no—
343C4×C43—44no—
344Dic43—24no—
345Dic43—24no—
346Dic43—24no—
347Dic43—44no—
348Dic43—42no—
349Dic43—44no—
350C22×#117—431no—
351C2×#381—431no—
352C2×C4×C22⋊C4—431no—
353C2×C4×C22⋊C4D4311yescharacteristic
354C22×#95—431no—
355#1436—432no—
356#1436—432no—
357#1434—432no—
358C22⋊#95—431no—
359C22⋊#95—431no—
360C4×#95—432no—
361C2×C43—28no—
362C2×C43C2×C4×C22⋊C411yescharacteristic
363C2×C43C4×#11711yescharacteristic
364C2×C43#227411yescharacteristic
365C2×C43#233912yes—
366C2×C43#234211yescharacteristic
367C2×C43#234211yescharacteristic
368C2×C43#234312yes—
369C2×C43#234411yescharacteristic
370C2×C43#234411yescharacteristic
371C2×C43#235912yes—
372C2×C43#235912yes—
373C24×C4—431no—
374C24×C4—431no—
375C24×C4C2×D4311yescharacteristic
376C2×#117—438no—
377C2×#117—864no—
378C2×#117—864no—
379C22×C4⋊C4—432no—
380C22×C22⋊C4—431no—
381C22×C22⋊C4—431no—
382C22×C22⋊C4C2×D4311yescharacteristic
383C22×C22⋊C4C2×D4311yescharacteristic
384C22×C42—432no—
385C22×C42—432no—
386C22×C42C2×D4312yes—
387#381—438no—
388C4×C22⋊C4—24no—
389C4×C22⋊C4—864no—
390C2×#95—431no—
391C2×#95—432no—
392C2×#95—431no—
393C2×#95—431no—
394C2×#95—431no—
395C2×#95—432no—
396C2×#95—438no—
397C2×#95—432no—
398C2×#95—432no—
399C2×#95—432no—
400C2×#95—432no—
401C2×#95—432no—
402C2×#95C2×D4312yes—
403C43#1379911yescharacteristic, complemented, Sylow
404C25C22×D4311yescharacteristic
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—24no—
408C23×C4—42no—
409C23×C4—434no—
410C23×C4—434no—
411C23×C4—434no—
412C23×C4—431no—
413C23×C4—431no—
414C23×C4—431no—
415C23×C4—432no—
416C23×C4—432no—
417C23×C4—431no—
418C23×C4—434no—
419C23×C4—864no—
420C23×C4—862no—
421C23×C4—862no—
422C23×C4—862no—
423C23×C4—862no—
424C23×C4—862no—
425C23×C4—862no—
426C23×C4—1722no—
427C23×C4C4×D4314yes—
428C23×C4C22×D4312yes—
429C23×C4C22×D4311yescharacteristic
430C23×C4C22×D4312yes—
431C23×C4C22×D4311yescharacteristic
432#117—8632no—
433C2×C4⋊C4—438no—
434C2×C4⋊C4—864no—
435C2×C4⋊C4—864no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—22no—
438C2×C22⋊C4—434no—
439C2×C22⋊C4—434no—
440C2×C22⋊C4—862no—
441C2×C22⋊C4—862no—
442C2×C22⋊C4—862no—
443C2×C22⋊C4—862no—
444C2×C22⋊C4C4×D4314yes—
445C2×C22⋊C4C4×D4314yes—
446C2×C22⋊C4D17214yes—
447C2×C22⋊C4C22⋊D4314yes—
448C2×C42—24no—
449C2×C42—24no—
450C2×C42—42no—
451C2×C42—438no—
452C2×C42—864no—
453C2×C42—864no—
454C2×C42—864no—
455C2×C42—864no—
456C2×C42—1722no—
457#95—24no—
458#95—434no—
459#95—434no—
460#95—434no—
461#95—434no—
462#95—438no—
463#95—438no—
464#95—864no—
465#95—864no—
466#95—864no—
467#95—1722no—
468#95—1722no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24C2×C4×D4312yes—
474C24C2×C4×D4312yes—
475C24C2×C4×D4312yes—
476C24C2×D17212yes—
477C24#1062189812yes—
478C24#1062189812yes—
479C24C2×C22⋊D4312yes—
480C24C23×D4311yescharacteristic
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—28no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—28no—
500C22×C4—44no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—4316no—
504C22×C4—432no—
505C22×C4—432no—
506C22×C4—432no—
507C22×C4—432no—
508C22×C4—432no—
509C22×C4—432no—
510C22×C4—432no—
511C22×C4—434no—
512C22×C4—434no—
513C22×C4—432no—
514C22×C4—434no—
515C22×C4—868no—
516C22×C4—868no—
517C22×C4—868no—
518C22×C4—868no—
519C22×C4—868no—
520C22×C4—868no—
521C22×C4—868no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—862no—
533C22×C4—868no—
534C22×C4—862no—
535C22×C4—861no—
536C22×C4—862no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—861no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—862no—
550C22×C4—1724no—
551C22×C4—1728no—
552C22×C4—1728no—
553C22×C4C2×C4×D4314yes—
554C22×C4C2×C4×D4312yes—
555C22×C4C2×C4×D4314yes—
556C22×C4C2×C4×D4312yes—
557C22×C4C2×D17214yes—
558C22×C4#1062190014yes—
559C22×C4C2×C22⋊D4314yes—
560C4⋊C4—8616no—
561C22⋊C4—28no—
562C22⋊C4—868no—
563C22⋊C4—868no—
564C22⋊C4(C2×D43)⋊C4116yes—
565C42—48no—
566C42—8616no—
567C42—1728no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—22no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23C42×D4314yes—
585C23C2×(C2×D43)⋊C414yes—
586C23#1306328214yes—
587C23C4×C22⋊D4314yes—
588C23C4×C22⋊D4314yes—
589C23C4×D17214yes—
590C23C4×D17214yes—
591C23C22×C4×D4311yescharacteristic
592C23C22×C4×D4311yescharacteristic
593C23C22×C4×D4311yescharacteristic
594C23C22×C22⋊D4311yescharacteristic
595C23C22×D17211yescharacteristic
596C23#41×D4312yes—
597C23C2×#1062190012yes—
598C23C2×#1062189811yescharacteristic
599C23C2×#1062189811yescharacteristic
600C23#1306337012yes—
601C23#1306337212yes—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—416no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—434no—
626C2×C4—434no—
627C2×C4—434no—
628C2×C4—864no—
629C2×C4—862no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—862no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—862no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—8632no—
644C2×C4—864no—
645C2×C4—864no—
646C2×C4—862no—
647C2×C4—864no—
648C2×C4—862no—
649C2×C4—864no—
650C2×C4—864no—
651C2×C4—862no—
652C2×C4—864no—
653C2×C4—864no—
654C2×C4—17216no—
655C2×C4—1722no—
656C2×C4—1722no—
657C2×C4—1722no—
658C2×C4—1722no—
659C2×C4—1722no—
660C2×C4—1722no—
661C2×C4—1722no—
662C2×C4—1722no—
663C2×C4—1722no—
664C2×C4—1722no—
665C2×C4C2×(C2×D43)⋊C418yes—
666C2×C4#1306328114yescomplemented
667C22—28no—
668C22—28no—
669C22—28no—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—28no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22C4×(C2×D43)⋊C418yes—
678C22C2×C42×D4311yescharacteristic
679C22C22×(C2×D43)⋊C411yescharacteristic
680C22#117×D4311yescharacteristic
681C22C2×#1306328111yescharacteristic
682C22C2×#1306328211yescharacteristic
683C22C2×C4×C22⋊D4311yescharacteristic
684C22C2×C4×C22⋊D4311yescharacteristic
685C22C2×C4×D17211yescharacteristic
686C22C2×C4×D17211yescharacteristic
687C22C4×#1062190012yes—
688C22C4×#1062190012yes—
689C22#1458337211yescharacteristic
690C22#1458337611yescharacteristic
691C22#1458337812yes—
692C22#1458337812yes—
693C22#1458354312yes—
694C22#1458354412yes—
695C22#1458354812yes—
696C22#1458355312yes—
697C22#1458357512yes—
698C22#1458357812yes—
699C22#1458358212yes—
700C22#1458358912yes—
701C4—28no—
702C4—24no—
703C4—44no—
704C4—42no—
705C4—864no—
706C4—864no—
707C4—864no—
708C4—1724no—
709C4—1724no—
710C4—1722no—
711C2—28no—
712C2C2×C4×(C2×D43)⋊C411yescharacteristic
713C2C4×#1306328111yescharacteristic
714C2#1913695011yescharacteristic
715C2#1913742012yes—
716C2#1913744011yescharacteristic
717C2#1913744711yescharacteristic
718C2#1913744912yes—
719C2#1913746211yescharacteristic
720C2#1913746511yescharacteristic
721C2#1913758112yes—
722C2#1913758912yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC2×C4×C22⋊C4×C43C2
socle, cosocleC24×C43C24
prime radicalC25×C43C23
hypercenterC2×C4×C22⋊C4D43
hypocenterC43#13799
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
5. #19132830C2semidirect
6. #19132828C2semidirect
7. #19132819C2semidirect
10. C4×C43⋊#95C2semidirect
16. C2×#13063281C4semidirect
22. #14582760C4semidirect
24. C2×C43⋊#95C4semidirect
63. C2×Dic43⋊C4C2×C4semidirect
75. C2×C4×Dic43C2×C4semidirect
85. C43⋊#95C2×C4semidirect
86. C43⋊#95C2×C4semidirect
186. C22×Dic43C42semidirect
264. C2×C4×C43#117semidirect
304. C2×Dic43#117semidirect
403. C43#13799semidirect
666. C2×C4#13063281semidirect

Maximal subgroups

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

subgroupindex
C22×#130632812
C2×#145827602
C2×C22⋊C4×Dic432
C22×C43⋊#952
#191328302
#191328282
#191328192
#191328182
#191328172
C4×C43⋊#952
C2×C4×C22⋊C4×C432
#1379943