Finite Group Databasebeta

← #25018834

Subgroups — #25018834

Order 11008.

2430 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
1C22×(C22⋊D43)⋊C4C211yesmaximal, characteristic
2C2×#14582763C211yesmaximal, characteristic, complemented
3C2×#14582758C212yesmaximal, complemented
4C2×#14582757C212yesmaximal, complemented
5C2×C4×Dic43⋊C4C211yesmaximal, characteristic, complemented
6#19132861C212yesmaximal, complemented
7#19132834C212yesmaximal
8#19132833C211yesmaximal, characteristic, complemented
9#19132832C211yesmaximal, characteristic, complemented
10#19132831C211yesmaximal, characteristic, complemented
11C43×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D43C2211yescharacteristic
13C24×Dic43C2211yescharacteristic
14C23×C4×D43C2211yescharacteristic
15C2×(C22⋊D43)⋊C4—24no—
16C2×(C22⋊D43)⋊C4—24no—
17C2×(C22⋊D43)⋊C4C418yescomplemented
18C22×Dic43⋊C4C2212yes—
19C22×Dic43⋊C4C2211yescharacteristic
20C22×Dic43⋊C4C2212yes—
21C22×C22⋊Dic43C2212yes—
22C22×(C2×D43)⋊C4C2212yes—
23C22×(C2×D43)⋊C4C2212yes—
24C22×(C2×D43)⋊C4C2211yescharacteristic
25C22×C4×Dic43C2211yescharacteristic
26C22×C4×Dic43C2211yescharacteristic
27#14582763—24no—
28#14582758—28no—
29#14582757—28no—
30C4×Dic43⋊C4—24no—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2211yescharacteristic
33C2×C43⋊#95C2212yes—
34C2×C43⋊#95C2212yes—
35C2×C43⋊#95C2212yes—
36C2×C43⋊#95C2212yes—
37C22×C22⋊C4×C43C2212yes—
38C22×C22⋊C4×C43C2211yescharacteristic
39C22×C42×C43C2211yescharacteristic
40C2×#95×C43C2211yescharacteristic
41C2×#95×C43C2212yes—
42C24×D43C2311yescharacteristic
43C22×C22⋊D43—24no—
44C22×C22⋊D43—24no—
45C22×C22⋊D43—22no—
46C22×C22⋊D43—22no—
47C22×C22⋊D43C2×C414yes—
48C23×Dic43—22no—
49C23×Dic43—22no—
50C23×Dic43—24no—
51C23×Dic43—24no—
52C23×Dic43C2×C414yes—
53C23×Dic43C2312yes—
54C23×Dic43C2311yescharacteristic
55C23×Dic43C2312yes—
56C23×Dic43C2311yescharacteristic
57C23×Dic43C2311yescharacteristic
58C22×C4×D43—22no—
59C22×C4×D43—22no—
60C22×C4×D43—24no—
61C22×C4×D43—24no—
62C22×C4×D43C2×C414yes—
63(C22⋊D43)⋊C4—232no—
64C2×Dic43⋊C4—22no—
65C2×Dic43⋊C4—22no—
66C2×Dic43⋊C4—24no—
67C2×Dic43⋊C4—24no—
68C2×Dic43⋊C4—24no—
69C2×Dic43⋊C4—24no—
70C2×Dic43⋊C4—24no—
71C2×Dic43⋊C4C2×C414yes—
72C2×Dic43⋊C4D418yescomplemented
73C2×C22⋊Dic43—24no—
74C2×C22⋊Dic43—24no—
75C2×C22⋊Dic43—42no—
76C2×(C2×D43)⋊C4—22no—
77C2×(C2×D43)⋊C4—22no—
78C2×(C2×D43)⋊C4—24no—
79C2×(C2×D43)⋊C4—24no—
80C2×(C2×D43)⋊C4—24no—
81C2×(C2×D43)⋊C4—24no—
82C2×(C2×D43)⋊C4—42no—
83C2×(C2×D43)⋊C4—42no—
84C2×(C2×D43)⋊C4C2×C414yes—
85C2×C4×Dic43—22no—
86C2×C4×Dic43—42no—
87C2×C4×Dic43C2×C414yes—
88C2×C4×Dic43D414yes—
89C2×C4×Dic43D414yes—
90C43⋊#95—24no—
91C43⋊#95—22no—
92C43⋊#95—24no—
93C43⋊#95—24no—
94C43⋊#95—24no—
95C43⋊#95—24no—
96C25×C43C2311yescharacteristic
97C23×C4×C43C2312yes—
98C23×C4×C43C2311yescharacteristic
99C23×C4×C43C2312yes—
100C23×C4×C43C2311yescharacteristic
101C2×C22⋊C4×C43—22no—
102C2×C22⋊C4×C43—22no—
103C2×C22⋊C4×C43—24no—
104C2×C22⋊C4×C43—24no—
105C2×C22⋊C4×C43—42no—
106C2×C22⋊C4×C43C2×C414yes—
107C2×C42×C43—22no—
108C2×C42×C43—42no—
109#95×C43—24no—
110#95×C43—22no—
111C24×C43—22no—
112C24×C43—21no—
113C24×C43—21no—
114C24×C43—22no—
115C24×C43—22no—
116C24×C43—22no—
117C24×C43—22no—
118C24×C43C22×C412yes—
119C24×C43#4114yes—
120C24×C43C2411yescharacteristic
121C23×D43—22no—
122C23×D43—21no—
123C23×D43—21no—
124C23×D43—22no—
125C23×D43—22no—
126C23×D43—22no—
127C23×D43—22no—
128C23×D43C22×C412yes—
129C23×D43#4114yes—
130C22×C4×C43—22no—
131C22×C4×C43—22no—
132C22×C4×C43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—22no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
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×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—22no—
148C22×C4×C43—22no—
149C22×C4×C43C22×C412yes—
150C22×C4×C43C22×C412yes—
151C22×C4×C43C2×D414yes—
152C22×C4×C43C2×D412yes—
153C22×C4×C43C2×D412yes—
154C2×C22⋊D43—216no—
155C2×C22⋊D43—216no—
156C2×C22⋊D43—28no—
157C2×C22⋊D43—28no—
158C2×C22⋊D43—28no—
159C22×Dic43—28no—
160C22×Dic43—216no—
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×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—22no—
180C22×Dic43—48no—
181C22×Dic43—44no—
182C22×Dic43—44no—
183C22×Dic43C22×C412yes—
184C22×Dic43C22×C412yes—
185C22×Dic43C22×C412yes—
186C22×Dic43C2×D414yes—
187C22×Dic43C2×D412yes—
188C22×Dic43C2×D412yes—
189C22×Dic43C2×D412yes—
190C22×Dic43C2×D412yes—
191C22×Dic43C2×D414yes—
192C22×Dic43#4114yes—
193C2×C4×D43—28no—
194C2×C4×D43—216no—
195C2×C4×D43—48no—
196C2×C4×D43—44no—
197C2×C4×D43—44no—
198C22⋊C4×C43—28no—
199C22⋊C4×C43—48no—
200C42×C43—44no—
201C22⋊Dic43—48no—
202(C2×D43)⋊C4—28no—
203(C2×D43)⋊C4—48no—
204(C2×D43)⋊C4—48no—
205Dic43⋊C4—28no—
206Dic43⋊C4—216no—
207Dic43⋊C4—48no—
208C4×Dic43—44no—
209C4×Dic43C22⋊C4116yescomplemented
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—42no—
221C23×C43—41no—
222C23×C43—41no—
223C23×C43—41no—
224C23×C43—41no—
225C23×C43—42no—
226C23×C43—42no—
227C23×C43—42no—
228C23×C43—42no—
229C23×C43—42no—
230C23×C43#11714yes—
231C23×C43C23×C411yescharacteristic
232C23×C43C22×D411yescharacteristic
233C23×C43C22×D411yescharacteristic
234C23×C43C22×D412yes—
235C23×C43C2×#4112yes—
236C23×C43C2×#4112yes—
237C23×C43C2×#4112yes—
238C23×C43H(5,𝔽2)12yes—
239C23×C432−1+412yes—
240C22×D43—22no—
241C22×D43—22no—
242C22×D43—24no—
243C22×D43—24no—
244C22×D43—24no—
245C22×D43—24no—
246C22×D43—24no—
247C22×D43—24no—
248C22×D43—24no—
249C22×D43—24no—
250C22×D43—42no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—42no—
256C22×D43—42no—
257C22×D43—42no—
258C22×D43—42no—
259C22×D43—42no—
260C22×D43#11714yes—
261C2×C4×C43—24no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—24no—
265C2×C4×C43—22no—
266C2×C4×C43—24no—
267C2×C4×C43—24no—
268C2×C4×C43—24no—
269C2×C4×C43—24no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
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—42no—
281C2×C4×C43—42no—
282C2×C4×C43—42no—
283C2×C4×C43—42no—
284C2×C4×C43C2×C22⋊C414yes—
285C22⋊D43—232no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—24no—
289C2×Dic43—24no—
290C2×Dic43—22no—
291C2×Dic43—24no—
292C2×Dic43—24no—
293C2×Dic43—24no—
294C2×Dic43—24no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—416no—
303C2×Dic43—42no—
304C2×Dic43—42no—
305C2×Dic43—42no—
306C2×Dic43—42no—
307C2×Dic43—42no—
308C2×Dic43—42no—
309C2×Dic43—42no—
310C2×Dic43C2×C22⋊C414yes—
311C2×Dic43C2×C22⋊C414yes—
312C2×Dic43C4×D418yes—
313C2×Dic43#12118yes—
314C2×Dic43#12414yes—
315C2×Dic43#12714yes—
316C4×D43—416no—
317#13905—431nomaximal, Sylow
318C22×C43—28no—
319C22×C43—24no—
320C22×C43—44no—
321C22×C43—42no—
322C22×C43—44no—
323C22×C43—44no—
324C22×C43—44no—
325C22×C43—44no—
326C22×C43—42no—
327C22×C43C22×C22⋊C411yescharacteristic
328C22×C43C2×#11711yescharacteristic
329C22×C43C2×#11711yescharacteristic
330C22×C43C2×C4×D412yes—
331C22×C43#52012yes—
332C22×C43C2×#12112yes—
333C22×C43#52512yes—
334C22×C43#52512yes—
335C22×C43C2×#12411yescharacteristic
336C22×C43C2×#12711yescharacteristic
337C22×C43#53511yescharacteristic
338C22×C43#53611yescharacteristic
339C22×C43#53712yes—
340C22×C43#54612yes—
341C22×C43#54612yes—
342C22×C43#54812yes—
343C22×C43#54812yes—
344C22×C43#55212yes—
345C22×C43#55212yes—
346C22×C43#55312yes—
347C22×C43#55312yes—
348C2×D43—28no—
349C2×D43—24no—
350C2×D43—44no—
351C2×D43—42no—
352C2×D43—44no—
353C2×D43—44no—
354C2×D43—44no—
355C2×D43—44no—
356C2×D43—42no—
357C4×C43—24no—
358C4×C43—44no—
359C4×C43—42no—
360C4×C43—82no—
361Dic43—24no—
362Dic43—44no—
363Dic43—42no—
364Dic43—82no—
365Dic43#39018yes—
366C22×C4×D4—431no—
367C2×#382—431no—
368C2×#380—432no—
369C2×#380—432no—
370C2×C4×C4⋊C4—431no—
371#1445—432no—
372#1438—432no—
373#1437—431no—
374#1437—431no—
375#1437—431no—
376#1437D4311yescharacteristic, complemented
377C2×C43—44no—
378C2×C43#228011yescharacteristic
379C2×C43C2×#39011yescharacteristic
380C2×C43#231111yescharacteristic
381C2×C43#235212yes—
382C2×C43#235212yes—
383C2×C43#253512yes—
384C2×C43#253612yes—
385C2×C43#254012yes—
386C2×C43#256212yes—
387D43—44no—
388C23×D4—431no—
389C24×C4—431no—
390C24×C4—431no—
391C2×C4×D4—438no—
392C2×C4×D4—864no—
393C2×C4×D4—864no—
394C22×C4⋊C4—431no—
395C22×C4⋊C4—432no—
396C22×C4⋊C4—432no—
397C22×C22⋊C4—431no—
398C22×C22⋊C4—432no—
399C22×C22⋊C4—432no—
400C22×C22⋊C4—432no—
401C22×C22⋊C4C2×D4312yes—
402C22×C22⋊C4C2×D4311yescharacteristic
403C22×C42—431no—
404C22×C42—431no—
405C22×C42C2×D4311yescharacteristic
406#382—864no—
407#380—868no—
408#380—868no—
409C4×C4⋊C4—864no—
410C2×#95—431no—
411C2×#95—432no—
412C2×#95—432no—
413C2×#95—432no—
414C2×#95—432no—
415C2×#95—432no—
416C2×#95C2×D4311yescharacteristic
417C2×#95C2×D4312yes—
418C43#1390511yescharacteristic, complemented, Sylow
419C25—431no—
420C25C22×D4311yescharacteristic
421C22×D4—434no—
422C22×D4—862no—
423C22×D4—862no—
424C22×D4—864no—
425C22×D4—864no—
426C23×C4—431no—
427C23×C4—431no—
428C23×C4—434no—
429C23×C4—432no—
430C23×C4—431no—
431C23×C4—434no—
432C23×C4—432no—
433C23×C4—862no—
434C23×C4—862no—
435C23×C4—864no—
436C23×C4—864no—
437C23×C4—862no—
438C23×C4—862no—
439C23×C4—864no—
440C23×C4—864no—
441C23×C4C22×D4312yes—
442C23×C4C22×D4311yescharacteristic
443C23×C4C22×D4312yes—
444C23×C4C22×D4311yescharacteristic
445C4×D4—8632no—
446C2×C4⋊C4—434no—
447C2×C4⋊C4—438no—
448C2×C4⋊C4—862no—
449C2×C4⋊C4—862no—
450C2×C4⋊C4—864no—
451C2×C4⋊C4—864no—
452C2×C4⋊C4—864no—
453C2×C4⋊C4—864no—
454C2×C4⋊C4—864no—
455C2×C22⋊C4—22no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4—24no—
458C2×C22⋊C4—24no—
459C2×C22⋊C4—42no—
460C2×C22⋊C4—434no—
461C2×C22⋊C4—862no—
462C2×C22⋊C4—862no—
463C2×C22⋊C4—864no—
464C2×C22⋊C4—864no—
465C2×C22⋊C4—864no—
466C2×C22⋊C4—864no—
467C2×C22⋊C4—864no—
468C2×C22⋊C4—864no—
469C2×C22⋊C4—1722no—
470C2×C22⋊C4—1722no—
471C2×C22⋊C4—1722no—
472C2×C22⋊C4C4×D4314yes—
473C2×C42—22no—
474C2×C42—42no—
475C2×C42—434no—
476C2×C42—434no—
477C2×C42—434no—
478C2×C42—862no—
479C2×C42—1722no—
480#95—24no—
481#95—22no—
482#95—864no—
483#95—864no—
484#95—864no—
485#95—864no—
486#95—864no—
487#95—862no—
488C24—22no—
489C24—21no—
490C24—21no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—432no—
496C24—434no—
497C24—862no—
498C24—861no—
499C24—861no—
500C24—862no—
501C24—862no—
502C24—862no—
503C24—862no—
504C24C2×C4×D4312yes—
505C24#1062189814yes—
506C24C23×D4311yescharacteristic
507C2×D4—868no—
508C2×D4—868no—
509C2×D4—8616no—
510C2×D4—8616no—
511C2×D4—868no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—432no—
532C22×C4—432no—
533C22×C4—432no—
534C22×C4—434no—
535C22×C4—434no—
536C22×C4—432no—
537C22×C4—432no—
538C22×C4—432no—
539C22×C4—432no—
540C22×C4—434no—
541C22×C4—868no—
542C22×C4—8616no—
543C22×C4—868no—
544C22×C4—8616no—
545C22×C4—862no—
546C22×C4—862no—
547C22×C4—862no—
548C22×C4—862no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—862no—
552C22×C4—862no—
553C22×C4—862no—
554C22×C4—862no—
555C22×C4—862no—
556C22×C4—862no—
557C22×C4—862no—
558C22×C4—862no—
559C22×C4—862no—
560C22×C4—862no—
561C22×C4—862no—
562C22×C4—862no—
563C22×C4—862no—
564C22×C4—1728no—
565C22×C4—1724no—
566C22×C4—1724no—
567C22×C4—1728no—
568C22×C4—1724no—
569C22×C4—1724no—
570C22×C4C2×C4×D4312yes—
571C22×C4C2×C4×D4312yes—
572C22×C4D4×D4314yes—
573C22×C4D4×D4312yes—
574C22×C4D4×D4312yes—
575C4⋊C4—868no—
576C4⋊C4—8616no—
577C4⋊C4—1728no—
578C22⋊C4—28no—
579C22⋊C4—48no—
580C22⋊C4—868no—
581C22⋊C4—1728no—
582C22⋊C4—1728no—
583C22⋊C4—1728no—
584C42—44no—
585C42—4316no—
586C42—1724no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—434no—
608C23—864no—
609C23—864no—
610C23—864no—
611C23—862no—
612C23—862no—
613C23—864no—
614C23—864no—
615C23—864no—
616C23—864no—
617C23—864no—
618C23—1722no—
619C23—1722no—
620C23—1722no—
621C23—1722no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23—1722no—
627C23—1722no—
628C23#1306328214yes—
629C23C22×C4×D4311yescharacteristic
630C23C2×D4×D4312yes—
631C23C2×D4×D4311yescharacteristic
632C23C2×D4×D4311yescharacteristic
633C23#41×D4312yes—
634C23#41×D4312yes—
635C23C2×#1062189812yes—
636C23#1306337012yes—
637C23#1306337212yes—
638D4—8632no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—434no—
663C2×C4—438no—
664C2×C4—438no—
665C2×C4—434no—
666C2×C4—434no—
667C2×C4—434no—
668C2×C4—862no—
669C2×C4—862no—
670C2×C4—864no—
671C2×C4—864no—
672C2×C4—862no—
673C2×C4—864no—
674C2×C4—864no—
675C2×C4—864no—
676C2×C4—864no—
677C2×C4—17216no—
678C2×C4—17216no—
679C2×C4—1722no—
680C2×C4—1722no—
681C2×C4—1722no—
682C2×C4—1722no—
683C2×C4—1722no—
684C2×C4—1722no—
685C2×C4—1722no—
686C2×C4—1722no—
687C2×C4—1722no—
688C2×C4—1722no—
689C2×C4—1722no—
690C2×C4—1721no—
691C2×C4—1721no—
692C2×C4—1722no—
693C2×C4C22⋊C4×D4314yes—
694C22—24no—
695C22—28no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—864no—
704C22—868no—
705C22—1722no—
706C22—1722no—
707C22—1724no—
708C22—1724no—
709C22—1724no—
710C22—1724no—
711C22—1724no—
712C22C2×C22⋊C4×D4311yescharacteristic
713C22#117×D4311yescharacteristic
714C22C2×#1306328211yescharacteristic
715C22C4×D4×D4312yes—
716C22#1458337812yes—
717C22#121×D4312yes—
718C22#1458340812yes—
719C22#1458340812yes—
720C22#124×D4311yescharacteristic
721C22#127×D4311yescharacteristic
722C22#1458346411yescharacteristic
723C22#1458347111yescharacteristic
724C22#1458347612yes—
725C22#1458353812yes—
726C22#1458353912yes—
727C22#1458355712yes—
728C22#1458355812yes—
729C22#1458358212yes—
730C22#1458358512yes—
731C22#1458359412yes—
732C22#1458359812yes—
733C4—24no—
734C4—42no—
735C4—44no—
736C4—82no—
737C4—438no—
738C4—864no—
739C4—3442no—
740C4—1722no—
741C4—1724no—
742C2—44no—
743C2—1724no—
744C2#1913697611yescharacteristic
745C2#390×D4311yescharacteristic
746C2#1913718211yescharacteristic
747C2#1913751812yes—
748C2#1913752312yes—
749C2#1913949512yes—
750C2#1913950312yes—
751C2#1913953212yes—
752C2#1913975912yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC43×#1437C2
socle, cosocleC24×C43C24
prime radicalC23×C22⋊D43C22
hypercenter#1437D43
hypocenterC43#13905
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C2×#14582763C2semidirect
3. C2×#14582758C2semidirect
4. C2×#14582757C2semidirect
5. C2×C4×Dic43⋊C4C2semidirect
6. #19132861C2semidirect
8. #19132833C2semidirect
9. #19132832C2semidirect
10. #19132831C2semidirect
11. C43×#1437C2semidirect
17. C2×(C22⋊D43)⋊C4C4semidirect
72. C2×Dic43⋊C4D4semidirect
209. C4×Dic43C22⋊C4semidirect
376. #1437D43semidirect
418. C43#13905semidirect

Maximal subgroups

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

subgroupindex
C22×(C22⋊D43)⋊C42
C2×#145827632
C2×#145827582
C2×#145827572
C2×C4×Dic43⋊C42
#191328612
#191328342
#191328332
#191328322
#191328312
C43×#14372
#1390543