Finite Group Databasebeta

← #25027927

Subgroups — #25027927

Order 11008.

2842 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063310C211yesmaximal, characteristic
2C22×C42×D43C211yesmaximal, characteristic, complemented
3C2×#14582777C212yesmaximal
4C2×#14582761C211yesmaximal, characteristic, complemented
5#19132833C211yesmaximal, characteristic, complemented
6#19132831C212yesmaximal, complemented
7#19132831C211yesmaximal, characteristic, complemented
8#19132827C211yesmaximal, characteristic, complemented
9#19132826C212yesmaximal, complemented
10(C2×D43)⋊#95C212yesmaximal, complemented
11C43×#1436C211yesmaximal, characteristic, complemented
12C23×D172C2211yescharacteristic
13C23×C4×D43C2212yes—
14C23×C4×D43C2211yescharacteristic
15C2×#13063310—24no—
16C2×#13063310—24no—
17C2×#13063310C418yescomplemented
18C22×Dic43⋊C4C2211yescharacteristic
19C22×(C2×D43)⋊C4C2212yes—
20C22×(C2×D43)⋊C4C2212yes—
21C22×(C2×D43)⋊C4C2212yes—
22C22×(C2×D43)⋊C4C2211yescharacteristic
23C22×(C2×D43)⋊C4C2211yescharacteristic
24C22×(C2×D43)⋊C4C2211yescharacteristic
25C22×C4×Dic43C2212yes—
26C22×C4×Dic43C2211yescharacteristic
27C2×C42×D43—28no—
28C2×C42×D43—24no—
29#14582777—28no—
30#14582761—24no—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2212yes—
33C2×C43⋊#95C2212yes—
34C2×C43⋊#95C2212yes—
35C2×C43⋊#95C2212yes—
36C2×C43⋊#95C2211yescharacteristic
37C22×C4⋊C4×C43C2211yescharacteristic
38C22×C42×C43C2211yescharacteristic
39C2×#95×C43C2212yes—
40C2×#95×C43C2212yes—
41C2×#95×C43C2211yescharacteristic
42C24×D43C2311yescharacteristic
43C24×D43C2311yescharacteristic
44C22×D172—22no—
45C22×D172—22no—
46C22×D172—24no—
47C22×D172—24no—
48C22×D172C2×C414yes—
49C23×Dic43C2312yes—
50C23×Dic43C2311yescharacteristic
51C23×Dic43C2311yescharacteristic
52C23×Dic43C2312yes—
53C22×C4×D43—24no—
54C22×C4×D43—24no—
55C22×C4×D43—24no—
56C22×C4×D43—24no—
57C22×C4×D43—24no—
58C22×C4×D43—24no—
59C22×C4×D43—24no—
60C22×C4×D43—24no—
61C22×C4×D43C2×C414yes—
62C22×C4×D43D418yes—
63C22×C4×D43D414yes—
64C22×C4×D43D414yes—
65#13063310—232no—
66C2×Dic43⋊C4—22no—
67C2×Dic43⋊C4—22no—
68C2×Dic43⋊C4C2×C414yescomplemented
69C2×(C2×D43)⋊C4—22no—
70C2×(C2×D43)⋊C4—22no—
71C2×(C2×D43)⋊C4—22no—
72C2×(C2×D43)⋊C4—22no—
73C2×(C2×D43)⋊C4—22no—
74C2×(C2×D43)⋊C4—22no—
75C2×(C2×D43)⋊C4—24no—
76C2×(C2×D43)⋊C4—24no—
77C2×(C2×D43)⋊C4—24no—
78C2×(C2×D43)⋊C4—24no—
79C2×(C2×D43)⋊C4—24no—
80C2×(C2×D43)⋊C4—24no—
81C2×(C2×D43)⋊C4—24no—
82C2×(C2×D43)⋊C4—24no—
83C2×(C2×D43)⋊C4—24no—
84C2×(C2×D43)⋊C4C2×C414yes—
85C2×(C2×D43)⋊C4C2×C414yescomplemented
86C2×(C2×D43)⋊C4C2×C414yescomplemented
87C2×C4×Dic43—22no—
88C2×C4×Dic43—24no—
89C2×C4×Dic43—24no—
90C2×C4×Dic43—24no—
91C2×C4×Dic43—24no—
92C42×D43—232no—
93C43⋊#95—22no—
94C43⋊#95—24no—
95C43⋊#95—24no—
96C43⋊#95—24no—
97C43⋊#95—24no—
98C43⋊#95—24no—
99C23×C4×C43C2312yes—
100C23×C4×C43C2311yescharacteristic
101C23×C4×C43C2311yescharacteristic
102C23×C4×C43C2311yescharacteristic
103C23×C4×C43C2312yes—
104C2×C4⋊C4×C43—22no—
105C2×C4⋊C4×C43—22no—
106C2×C4⋊C4×C43C2×C414yescomplemented
107C2×C42×C43—22no—
108C2×C42×C43—24no—
109#95×C43—22no—
110#95×C43—24no—
111#95×C43—24no—
112C24×C43C2411yescharacteristic
113C23×D43—22no—
114C23×D43—22no—
115C23×D43—22no—
116C23×D43—22no—
117C23×D43—21no—
118C23×D43—21no—
119C23×D43—22no—
120C23×D43—22no—
121C23×D43—22no—
122C23×D43—22no—
123C23×D43—22no—
124C23×D43—22no—
125C23×D43C22×C412yes—
126C23×D43C22×C412yes—
127C23×D43C2×D412yes—
128C23×D43C2×D412yes—
129C23×D43C2×D414yes—
130C23×D43#4114yes—
131C22×C4×C43—22no—
132C22×C4×C43—22no—
133C22×C4×C43—22no—
134C22×C4×C43—22no—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—21no—
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×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—22no—
148C22×C4×C43—22no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43C22×C412yes—
153C22×C4×C43C22×C412yes—
154C22×C4×C43C22×C412yes—
155C22×C4×C43C2×D412yes—
156C22×C4×C43C2×D412yes—
157C22×C4×C43C2×D414yes—
158C22×C4×C43#4114yes—
159C22×C4×C43#4114yes—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—22no—
177C22×Dic43C22×C412yes—
178C22×Dic43C22×C412yes—
179C22×Dic43C2×D412yes—
180C22×Dic43C2×D412yes—
181C22×Dic43C2×D414yes—
182C22×Dic43#4114yes—
183C22×Dic43#4114yes—
184C2×D172—28no—
185C2×D172—216no—
186C2×D172—44no—
187C2×D172—48no—
188C2×D172—44no—
189C2×C4×D43—216no—
190C2×C4×D43—216no—
191C2×C4×D43—216no—
192C2×C4×D43—216no—
193C2×C4×D43—216no—
194C2×C4×D43—216no—
195C2×C4×D43—216no—
196C2×C4×D43—216no—
197C2×C4×D43—28no—
198C2×C4×D43—216no—
199C2×C4×D43—28no—
200C2×C4×D43C22⋊C4116yescomplemented
201C4⋊C4×C43—28no—
202C42×C43—28no—
203(C2×D43)⋊C4—28no—
204(C2×D43)⋊C4—28no—
205(C2×D43)⋊C4—28no—
206(C2×D43)⋊C4—48no—
207(C2×D43)⋊C4—48no—
208(C2×D43)⋊C4—48no—
209Dic43⋊C4—28no—
210C4×Dic43—28no—
211C4×Dic43—216no—
212C23×C43C23×C411yescharacteristic
213C23×C43C22×D411yescharacteristic
214C23×C43C22×D411yescharacteristic
215C23×C43C22×D412yes—
216C23×C43C2×#4112yes—
217C23×C43C2×#4112yes—
218C23×C43C2×#4112yes—
219C23×C43C2×#4112yes—
220C23×C43C2×#4112yes—
221C22×D43—22no—
222C22×D43—22no—
223C22×D43—24no—
224C22×D43—24no—
225C22×D43—24no—
226C22×D43—24no—
227C22×D43—24no—
228C22×D43—24no—
229C22×D43—24no—
230C22×D43—24no—
231C22×D43—24no—
232C22×D43—24no—
233C22×D43—24no—
234C22×D43—24no—
235C22×D43—22no—
236C22×D43—22no—
237C22×D43—22no—
238C22×D43—24no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—24no—
242C22×D43—41no—
243C22×D43—42no—
244C22×D43—42no—
245C22×D43—42no—
246C22×D43—41no—
247C22×D43—42no—
248C22×D43—42no—
249C22×D43—42no—
250C22×D43—42no—
251C22×D43—42no—
252C22×D43—42no—
253C22×D43—42no—
254C22×D43—42no—
255C22×D43—42no—
256C22×D43—41no—
257C22×D43—41no—
258C22×D43C2×C22⋊C414yes—
259C22×D43C4×D418yes—
260C22×D43#12014yes—
261C22×D43#12118yes—
262C22×D43#12314yes—
263C2×C4×C43—24no—
264C2×C4×C43—24no—
265C2×C4×C43—22no—
266C2×C4×C43—24no—
267C2×C4×C43—24no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—24no—
271C2×C4×C43—24no—
272C2×C4×C43—24no—
273C2×C4×C43—22no—
274C2×C4×C43—22no—
275C2×C4×C43—24no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—41no—
279C2×C4×C43—42no—
280C2×C4×C43—41no—
281C2×C4×C43—42no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43—42no—
285C2×C4×C43—42no—
286C2×C4×C43—42no—
287C2×C4×C43—42no—
288C2×C4×C43—42no—
289C2×C4×C43—42no—
290C2×C4×C43C2×C22⋊C414yes—
291C2×C4×C43#12318yescomplemented
292C2×Dic43—24no—
293C2×Dic43—24no—
294C2×Dic43—22no—
295C2×Dic43—24no—
296C2×Dic43—22no—
297C2×Dic43—24no—
298C2×Dic43—24no—
299C2×Dic43—24no—
300C2×Dic43—24no—
301C2×Dic43—24no—
302C2×Dic43—22no—
303C2×Dic43—24no—
304C2×Dic43—42no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—42no—
308C2×Dic43—42no—
309C2×Dic43—42no—
310C2×Dic43—42no—
311C2×Dic43—42no—
312C2×Dic43—42no—
313C2×Dic43—42no—
314C2×Dic43C2×C22⋊C414yes—
315C2×Dic43#12318yescomplemented
316D172—416no—
317C4×D43—264no—
318C4×D43—232no—
319#14706—431nomaximal, Sylow
320C22×C43C22×C22⋊C411yescharacteristic
321C22×C43C2×C4×D412yes—
322C22×C43C4×#4111yescharacteristic
323C22×C43C4×#4111yescharacteristic
324C22×C43C4×#4112yes—
325C22×C43C2×#12011yescharacteristic
326C22×C43C2×#12112yes—
327C22×C43C2×#12312yes—
328C22×C43C2×#12311yescharacteristic
329C22×C43C2×#12312yes—
330C22×C43#52512yes—
331C22×C43#52512yes—
332C22×C43#52512yes—
333C22×C43#52512yes—
334C22×C43#52912yes—
335C22×C43#52912yes—
336C22×C43#52912yes—
337C22×C43#52912yes—
338C22×C43#53212yes—
339C22×C43#53211yescharacteristic
340C22×C43#53211yescharacteristic
341C2×D43—28no—
342C2×D43—28no—
343C2×D43—28no—
344C2×D43—28no—
345C2×D43—24no—
346C2×D43—24no—
347C2×D43—28no—
348C2×D43—28no—
349C2×D43—42no—
350C2×D43—42no—
351C2×D43—42no—
352C2×D43—44no—
353C2×D43—44no—
354C2×D43—82no—
355C2×D43—82no—
356C2×D43—82no—
357C2×D43—82no—
358C2×D43#38618yes—
359C4×C43—28no—
360C4×C43—24no—
361C4×C43—42no—
362C4×C43—42no—
363C4×C43—82no—
364Dic43—28no—
365Dic43—24no—
366Dic43—42no—
367Dic43—82no—
368C22×#123—431no—
369C23×C42—431no—
370C2×#386—432no—
371C2×#381—431no—
372#1437—431no—
373#1437—431no—
374#1437—432no—
375#1436—432no—
376#1436—431no—
377#1436D4311yescharacteristic, complemented
378C22⋊#95—432no—
379C2×C43C2×#38611yescharacteristic
380C2×C43#229711yescharacteristic
381C2×C43#229711yescharacteristic
382C2×C43C4×#12312yes—
383C2×C43C4×#12312yes—
384C2×C43#284912yes—
385C2×C43#285312yes—
386C2×C43#285412yes—
387C2×C43#285412yes—
388D43—28no—
389D43—82no—
390C23×D4—431no—
391C24×C4—431no—
392C24×C4—432no—
393C2×#123—438no—
394C2×#123—864no—
395C2×#123—864no—
396C22×C4⋊C4—431no—
397C22×C4⋊C4C2×D4311yescharacteristic
398C22×C22⋊C4—431no—
399C22×C22⋊C4—431no—
400C22×C22⋊C4—431no—
401C22×C22⋊C4—432no—
402C22×C22⋊C4—432no—
403C22×C22⋊C4—432no—
404C22×C42—432no—
405C22×C42—431no—
406C22×C42—864no—
407C22×C42—868no—
408C22×C42C2×D4311yescharacteristic
409#386—868no—
410#381—864no—
411C2×#95—432no—
412C2×#95—432no—
413C2×#95—432no—
414C2×#95—432no—
415C2×#95—432no—
416C2×#95—431no—
417C2×#95C2×D4312yes—
418C2×#95C2×D4312yes—
419C2×#95C2×D4311yescharacteristic
420C43#1470611yescharacteristic, complemented, Sylow
421C25—431no—
422C25—431no—
423C22×D4—434no—
424C22×D4—862no—
425C22×D4—862no—
426C22×D4—864no—
427C22×D4—864no—
428C23×C4—431no—
429C23×C4—432no—
430C23×C4—434no—
431C23×C4—434no—
432C23×C4—434no—
433C23×C4—431no—
434C23×C4—438no—
435C23×C4—432no—
436C23×C4—864no—
437C23×C4—864no—
438C23×C4—864no—
439C23×C4—864no—
440C23×C4—864no—
441C23×C4—864no—
442C23×C4—864no—
443C23×C4—864no—
444C23×C4C22×D4312yes—
445C23×C4C22×D4311yescharacteristic
446C23×C4C22×D4311yescharacteristic
447C23×C4C22×D4311yescharacteristic
448C23×C4C22×D4312yes—
449#123—8632no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—434no—
453C2×C4⋊C4—862no—
454C2×C4⋊C4—862no—
455C2×C4⋊C4C4×D4314yescomplemented
456C2×C22⋊C4—434no—
457C2×C22⋊C4—434no—
458C2×C22⋊C4—434no—
459C2×C22⋊C4—862no—
460C2×C22⋊C4—862no—
461C2×C22⋊C4—862no—
462C2×C22⋊C4—862no—
463C2×C22⋊C4—862no—
464C2×C22⋊C4—862no—
465C2×C22⋊C4—864no—
466C2×C22⋊C4—864no—
467C2×C22⋊C4—864no—
468C2×C22⋊C4—864no—
469C2×C22⋊C4—864no—
470C2×C22⋊C4—864no—
471C2×C22⋊C4—864no—
472C2×C22⋊C4—864no—
473C2×C22⋊C4—864no—
474C2×C42—22no—
475C2×C42—24no—
476C2×C42—8632no—
477C2×C42—864no—
478C2×C42—864no—
479C2×C42—864no—
480C2×C42—862no—
481C2×C42—864no—
482#95—24no—
483#95—22no—
484#95—24no—
485#95—864no—
486#95—864no—
487#95—864no—
488#95—864no—
489#95—862no—
490#95—864no—
491C24—432no—
492C24—432no—
493C24—432no—
494C24—434no—
495C24—434no—
496C24—432no—
497C24—862no—
498C24—862no—
499C24—862no—
500C24—862no—
501C24—861no—
502C24—861no—
503C24—862no—
504C24—862no—
505C24—862no—
506C24—862no—
507C24—862no—
508C24—862no—
509C24C23×D4311yescharacteristic
510C2×D4—868no—
511C2×D4—8616no—
512C2×D4—1724no—
513C2×D4—1728no—
514C2×D4—1724no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—432no—
537C22×C4—432no—
538C22×C4—434no—
539C22×C4—432no—
540C22×C4—434no—
541C22×C4—434no—
542C22×C4—4316no—
543C22×C4—432no—
544C22×C4—8616no—
545C22×C4—868no—
546C22×C4—8616no—
547C22×C4—8616no—
548C22×C4—8616no—
549C22×C4—868no—
550C22×C4—8616no—
551C22×C4—8616no—
552C22×C4—8616no—
553C22×C4—8616no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4—862no—
557C22×C4—862no—
558C22×C4—862no—
559C22×C4—862no—
560C22×C4—8616no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4—862no—
564C22×C4—862no—
565C22×C4—862no—
566C22×C4—862no—
567C22×C4—862no—
568C22×C4—862no—
569C22×C4—862no—
570C22×C4—862no—
571C22×C4—862no—
572C22×C4C2×C4×D4312yes—
573C22×C4C2×C4×D4312yes—
574C22×C4C2×C4×D4312yes—
575C22×C4#1062189814yes—
576C22×C4D4×D4312yes—
577C22×C4D4×D4312yes—
578C22×C4D4×D4314yes—
579C22×C4#1062190214yes—
580C4⋊C4—28no—
581C4⋊C4—868no—
582C22⋊C4—868no—
583C22⋊C4—868no—
584C22⋊C4—868no—
585C22⋊C4—1728no—
586C22⋊C4—1728no—
587C22⋊C4—1728no—
588C42—28no—
589C42—8616no—
590C42—868no—
591C23—434no—
592C23—438no—
593C23—434no—
594C23—438no—
595C23—434no—
596C23—862no—
597C23—862no—
598C23—864no—
599C23—864no—
600C23—864no—
601C23—864no—
602C23—864no—
603C23—864no—
604C23—864no—
605C23—864no—
606C23—864no—
607C23—864no—
608C23—864no—
609C23—864no—
610C23—862no—
611C23—862no—
612C23—862no—
613C23—864no—
614C23—862no—
615C23—862no—
616C23—864no—
617C23—1721no—
618C23—1722no—
619C23—1722no—
620C23—1721no—
621C23—1722no—
622C23—1722no—
623C23—1722no—
624C23—1722no—
625C23—1722no—
626C23—1722no—
627C23—1722no—
628C23—1722no—
629C23—1722no—
630C23—1722no—
631C23—1721no—
632C23—1721no—
633C23C22×C4×D4311yescharacteristic
634C23C2×D4×D4311yescharacteristic
635C23C2×D4×D4311yescharacteristic
636C23C2×D4×D4312yes—
637C23#41×D4312yes—
638C23#41×D4312yes—
639C23#41×D4312yes—
640C23C2×#1062189812yes—
641C23C2×#1062190212yes—
642D4—17216no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—434no—
671C2×C4—438no—
672C2×C4—8632no—
673C2×C4—8664no—
674C2×C4—864no—
675C2×C4—864no—
676C2×C4—862no—
677C2×C4—864no—
678C2×C4—862no—
679C2×C4—864no—
680C2×C4—864no—
681C2×C4—864no—
682C2×C4—864no—
683C2×C4—864no—
684C2×C4—862no—
685C2×C4—864no—
686C2×C4—1722no—
687C2×C4—1722no—
688C2×C4—1722no—
689C2×C4—1722no—
690C2×C4—1722no—
691C2×C4—1722no—
692C2×C4—1722no—
693C2×C4—1722no—
694C2×C4—1721no—
695C2×C4—1721no—
696C2×C4C22⋊C4×D4314yes—
697C2×C4#1306331018yescomplemented
698C22—438no—
699C22—868no—
700C22—868no—
701C22—868no—
702C22—864no—
703C22—864no—
704C22—868no—
705C22—868no—
706C22—868no—
707C22—3442no—
708C22—3442no—
709C22—3442no—
710C22—3442no—
711C22—1722no—
712C22—1722no—
713C22—1724no—
714C22—1724no—
715C22—1722no—
716C22C2×C22⋊C4×D4311yescharacteristic
717C22C4×D4×D4312yes—
718C22#1458336711yescharacteristic
719C22C4×#1062189811yescharacteristic
720C22C4×#1062190212yes—
721C22#120×D4311yescharacteristic
722C22#121×D4312yes—
723C22#123×D4311yescharacteristic
724C22#123×D4312yes—
725C22C2×#1306331012yes—
726C22#1458340812yes—
727C22#1458340812yes—
728C22#1458341212yes—
729C22#1458341212yes—
730C22#1458342712yes—
731C22#1458343212yes—
732C22#1458343412yes—
733C22#1458343612yes—
734C22#1458344612yes—
735C22#1458344811yescharacteristic
736C22#1458345011yescharacteristic
737C4—28no—
738C4—24no—
739C4—42no—
740C4—42no—
741C4—82no—
742C4—868no—
743C4—864no—
744C4—3442no—
745C4—1722no—
746C2—868no—
747C2—3442no—
748C2#386×D4311yescharacteristic
749C2#1913708111yescharacteristic
750C2#1913708411yescharacteristic
751C2#1913711612yes—
752C2C4×#1306331012yes—
753C2#1914289012yes—
754C2#1914291912yes—
755C2#1914292212yes—
756C2#1914292812yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC43×#1436C2
socle, cosocleC24×C43C24
prime radicalC23×D172C22
hypercenter#1436D43
hypocenterC43#14706
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1436

Complements

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

NH ≅ G/Ntype
2. C22×C42×D43C2semidirect
4. C2×#14582761C2semidirect
5. #19132833C2semidirect
6. #19132831C2semidirect
7. #19132831C2semidirect
8. #19132827C2semidirect
9. #19132826C2semidirect
10. (C2×D43)⋊#95C2semidirect
11. C43×#1436C2semidirect
17. C2×#13063310C4semidirect
68. C2×Dic43⋊C4C2×C4semidirect
85. C2×(C2×D43)⋊C4C2×C4semidirect
86. C2×(C2×D43)⋊C4C2×C4semidirect
106. C2×C4⋊C4×C43C2×C4semidirect
200. C2×C4×D43C22⋊C4semidirect
291. C2×C4×C43#123semidirect
315. C2×Dic43#123semidirect
377. #1436D43semidirect
420. C43#14706semidirect
455. C2×C4⋊C4C4×D43semidirect
697. C2×C4#13063310semidirect

Maximal subgroups

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

subgroupindex
C22×#130633102
C22×C42×D432
C2×#145827772
C2×#145827612
#191328332
#191328312
#191328272
#191328262
(C2×D43)⋊#952
C43×#14362
#1470643