Finite Group Databasebeta

← #25146437

Subgroups — #25146437

Order 11008.

1034 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
1C2×#14583244C211yesmaximal, characteristic, complemented
2C2×#14583092C211yesmaximal, characteristic
3#19139546C211yesmaximal, characteristic, complemented
4#19137657C211yesmaximal, characteristic, complemented
5#19136001C211yesmaximal, characteristic, complemented
6#19136000C211yesmaximal, characteristic, complemented
7#19135905C211yesmaximal, characteristic, complemented
8#19135903C211yesmaximal, characteristic, complemented
9#19135545C211yesmaximal, characteristic, complemented
10#19135312C211yesmaximal, characteristic, complemented
11#19134940C211yesmaximal, characteristic, complemented
12#19134595C211yesmaximal, characteristic, complemented
13#19134594C211yesmaximal, characteristic, complemented
14#102×Dic43C211yesmaximal, characteristic, complemented
15C43×#1879C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C2×#13063324C2211yescharacteristic
18C2×#13063321C2211yescharacteristic
19C2×#13063302—21no—
20C2×#13063302—21no—
21C2×D4×Dic43C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×C4×C22⋊D43—21no—
24#14583244—24no—
25#14583092—24no—
26C2×C4⋊(C43⋊C8)C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×C8×Dic43C2211yescharacteristic
36#14582835—21no—
37#14582835—21no—
38#14582802C2211yescharacteristic
39#14582802C2211yescharacteristic
40#14582801C2211yescharacteristic
41#14582799—21no—
42#14582778—21no—
43#14582775—21no—
44#14582769C2211yescharacteristic
45#14582768C2211yescharacteristic
46C4⋊C4×Dic43C2211yescharacteristic
47C4×Dic43⋊C4C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×D8×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C43×#390C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×Dic86—21no—
62C22×D172C2311yescharacteristic
63C22×C22⋊D43—21no—
64C22×C22⋊D43—21no—
65C23×Dic43—21no—
66C22×C4×D43—21no—
67C2×#10621882—22no—
68C2×#10621882—22no—
69C2×#10621882—41no—
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063324—22no—
73#13063324—22no—
74#13063321—22no—
75#13063321D414yes—
76#13063302—44no—
77#13063302—44no—
78D4×Dic43—22no—
79D4×Dic43—22no—
80#13063287—22no—
81#13063287—41no—
82C4×C22⋊D43—44no—
83C2×C4⋊Dic43—21no—
84C2×C4⋊Dic43—21no—
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4D411yescharacteristic
92C2×Dic43⋊C4D411yescharacteristic
93C2×C22⋊Dic43—21no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×C22⋊Dic43—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43C2311yescharacteristic
103C2×C4×Dic43C2311yescharacteristic
104C4⋊(C43⋊C8)—41no—
105Dic43⋊C8—22no—
106Dic43⋊C8—41no—
107#13063247—22no—
108#13063247—22no—
109#13063246—22no—
110#13063246—22no—
111#13063246—22no—
112#13063245—22no—
113C8×Dic43—22no—
114C43⋊#95—21no—
115C43⋊#95D411yescharacteristic
116C43⋊#95D411yescharacteristic
117C22×D4×C43C2311yescharacteristic
118C22×D4×C43C2311yescharacteristic
119C23×C4×C43—21no—
120C2×D8×C43—22no—
121C2×D8×C43—22no—
122C2×D8×C43—41no—
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C4×D4×C43—22no—
126C4×D4×C43—41no—
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C22⋊C4×C43—21no—
130C2×C22⋊C4×C43—21no—
131C2×C22⋊C4×C43—21no—
132C2×C42×C43C2311yescharacteristic
133#102×C43—22no—
134#102×C43—22no—
135C24×C43—21no—
136C24×C43—21no—
137C23×D43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43C2×D412yes—
149C2×D4×C43#4112yes—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—42no—
153C22×C4×C43—42no—
154C22×C4×C43—81no—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C2×C22⋊D43—24no—
159C2×C22⋊D43—24no—
160C2×C22⋊D43—42no—
161C2×C22⋊D43—42no—
162C2×C22⋊D43—81no—
163C2×C22⋊D43—81no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172C2×D412yes—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—81no—
183C2×Dic86—42no—
184C2×Dic86—42no—
185C2×Dic86—42no—
186D8×C43—44no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43#4112yes—
197C22⋊C4×C43—42no—
198C22⋊C4×C43—42no—
199C22⋊C4×C43—42no—
200C42×C43—21no—
201C42×C43—21no—
202C22⋊Dic43—42no—
203C22⋊Dic43—42no—
204C22⋊Dic43—42no—
205C22⋊Dic43—42no—
206C22⋊Dic43—81no—
207#10621882—44no—
208(C2×D43)⋊C4—42no—
209(C2×D43)⋊C4—42no—
210(C2×D43)⋊C4—81no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—42no—
218C4⋊Dic43—42no—
219Dic43⋊C4—22no—
220Dic43⋊C4—42no—
221Dic43⋊C4—42no—
222Dic43⋊C4—42no—
223Dic43⋊C4D814yescomplemented
224C4×Dic43—21no—
225C4×Dic43—21no—
226C4×Dic43—42no—
227C4×Dic43C2×D412yes—
228C4×Dic43#4112yes—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C23×C43—22no—
236C23×C43—22no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43C22×D411yescharacteristic
250C22×D43—22no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—22no—
260D4×C43—22no—
261D4×C43—41no—
262D4×C43—41no—
263D4×C43—41no—
264D4×C43—41no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—22no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—84no—
277C2×C4×C43C2×D812yes—
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C432−1+411yescharacteristic
284C22⋊D43—48no—
285C22⋊D43—84no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—84no—
303C2×Dic43#12112yes—
304C2×Dic43#12112yes—
305C2×Dic43C2×D812yes—
306C2×Dic43C2×D812yes—
307C2×Dic43AGL(1,ℤ/8)12yes—
308D172—22no—
309D172—22no—
310D172—41no—
311D172—41no—
312C4×D43—84no—
313Dic86—84no—
314C8×C43—41no—
315C8×C43—41no—
316C43⋊C8—41no—
317C43⋊C8—41no—
318#25318—431nomaximal, Sylow
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43C2×#12111yescharacteristic
334C22×C43#54611yescharacteristic
335C22×C43#54811yescharacteristic
336C22×C43C22×D811yescharacteristic
337C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
338C22×C43#57711yescharacteristic
339C22×C43#57711yescharacteristic
340C2×D43—42no—
341C2×D43—42no—
342C2×D43—42no—
343C2×D43—81no—
344C2×D43—81no—
345C2×D43—81no—
346C2×D43—81no—
347C4×C43—22no—
348C4×C43—41no—
349C4×C43—42no—
350C4×C43—81no—
351C4×C43#52911yescharacteristic
352C4×C43#54211yescharacteristic
353C4×C43#54611yescharacteristic
354C4×C43#54711yescharacteristic
355Dic43—22no—
356Dic43—22no—
357Dic43—41no—
358Dic43—81no—
359Dic43—81no—
360Dic43—81no—
361Dic43#45914yes—
362C2×#486—431no—
363C2×#459—431no—
364#2542—431no—
365#2366—431no—
366#2071—431no—
367#2071—431no—
368#2054—431no—
369#2054—431no—
370#1988—431no—
371#1939—431no—
372#1879—431no—
373#1879D4311yescharacteristic, complemented
374#1802—431no—
375#1802—431no—
376C4×#102—431no—
377C2×C43—82no—
378C2×C43—82no—
379C2×C43#242711yescharacteristic
380C2×C43C2×#45911yescharacteristic
381C2×C43#304211yescharacteristic
382C2×C43#329411yescharacteristic
383C2×C43#333211yescharacteristic
384C2×C43#335811yescharacteristic
385C2×C43#337311yescharacteristic
386D43—82no—
387C22×D8—431no—
388C22×D8C2×D4311yescharacteristic
389C2×C4⋊Q8—431no—
390C2×#127—431no—
391C2×C22⋊Q8—861no—
392C2×C22⋊Q8—861no—
393C2×C4×D4—431no—
394C2×C4×D4—431no—
395C2×C4×D4—861no—
396C2×C4×D4C2×D4311yescharacteristic
397#486—864no—
398#459—864no—
399C2×C4⋊C8—431no—
400C2×C4⋊C8—431no—
401C2×C4⋊C8—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102—431no—
406C2×#102—431no—
407C2×#102—431no—
408C2×#102C2×D4311yescharacteristic
409C2×#102C2×D4311yescharacteristic
410C2×C4×C8—431no—
411#399—861no—
412#399—861no—
413#390—431no—
414#390—431no—
415#390—431no—
416#390—861no—
417#390C2×D4311yescharacteristic
418#386—861no—
419#386—861no—
420#384—431no—
421#384—431no—
422C4×C4⋊C4—431no—
423C4×C4⋊C4—431no—
424#340—431no—
425#340—431no—
426#340—431no—
427#340—431no—
428#340—431no—
429#340C2×D4311yescharacteristic
430#336—431no—
431#336C2×D4311yescharacteristic
432C43#2531811yescharacteristic, complemented, Sylow
433C22×Q8—861no—
434C22×D4—431no—
435C22×D4—861no—
436C22×D4—861no—
437C22×D4C22×D4311yescharacteristic
438C22×D4C22×D4311yescharacteristic
439C23×C4—21no—
440C23×C4—861no—
441C23×C4—861no—
442C2×D8—22no—
443C2×D8—22no—
444C2×D8—41no—
445C2×D8—862no—
446C2×D8—862no—
447C2×D8—1721no—
448C22×C8—431no—
449C22×C8—431no—
450C22×C8C22×D4311yescharacteristic
451C22×C8C22×D4311yescharacteristic
452C4⋊Q8—862no—
453C4⋊Q8—862no—
454#127—434no—
455#127—862no—
456C22⋊Q8—1724no—
457C22⋊Q8—1724no—
458C4×D4—22no—
459C4×D4—41no—
460C4×D4—862no—
461C4×D4—862no—
462C4×D4—862no—
463C4×D4—1721no—
464C4×D4—1724no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—861no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—861no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C42—431no—
489C2×C42—431no—
490C2×C42—861no—
491C2×C42C22×D4311yescharacteristic
492C4⋊C8—862no—
493C4⋊C8—1721no—
494C4⋊C8—1721no—
495#102—22no—
496#102—22no—
497#102—862no—
498#102—862no—
499#102—862no—
500#102—862no—
501#102—862no—
502#102—862no—
503C4×C8—862no—
504#95—431no—
505#95—431no—
506#95—861no—
507C24—21no—
508C24—21no—
509C24—861no—
510C2×Q8—1722no—
511C2×Q8—1722no—
512C2×Q8—1722no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—432no—
524C2×D4—864no—
525C2×D4—864no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4—3441no—
532C2×D4—3441no—
533C2×D4—1722no—
534C2×D4—1722no—
535C2×D4#1062189812yes—
536C2×D4D4×D4312yes—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—81no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—431no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—3441no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4—1722no—
554C22×C4—1722no—
555C22×C4D4×D4311yescharacteristic
556C22×C4D4×D4311yescharacteristic
557C22×C4C23×D4311yescharacteristic
558D8—44no—
559D8—1724no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8—861no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—434no—
576C4⋊C4—862no—
577C4⋊C4—861no—
578C4⋊C4—861no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—1722no—
584C4⋊C4—1722no—
585C4⋊C4—1722no—
586C4⋊C4—1722no—
587C4⋊C4—1722no—
588C4⋊C4#1062190012yes—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—3441no—
593C22⋊C4—3441no—
594C22⋊C4—1722no—
595C22⋊C4—1722no—
596C22⋊C4—1722no—
597C22⋊C4—1722no—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C42—21no—
601C42—21no—
602C42—432no—
603C42—432no—
604C42—861no—
605C42—861no—
606C42—1722no—
607C23—22no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—862no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23—1721no—
626C23—1721no—
627C23—1721no—
628C23C2×D4×D4311yescharacteristic
629Q8—3444no—
630D4—22no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—41no—
635D4—41no—
636D4—41no—
637D4—41no—
638D4—862no—
639D4—862no—
640D4—3444no—
641D4—1728no—
642D4—1721no—
643D4—1721no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—84no—
656C2×C4—432no—
657C2×C4—432no—
658C2×C4—432no—
659C2×C4—432no—
660C2×C4—432no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—3444no—
669C2×C4—3444no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4D8×D4312yes—
680C2×C4C2×D4×D4311yescharacteristic
681C2×C4#41×D4311yescharacteristic
682C2×C4C2×#1062190011yescharacteristic
683C2×C4C2×#1062189811yescharacteristic
684C2×C4#1306337011yescharacteristic
685C2×C4#1306337211yescharacteristic
686C8—41no—
687C8—41no—
688C8—1721no—
689C8—1721no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—3441no—
705C22—3441no—
706C22—3441no—
707C22—3441no—
708C22—1722no—
709C22—1722no—
710C22—1722no—
711C22#121×D4311yescharacteristic
712C22#1458353611yescharacteristic
713C22#1458355811yescharacteristic
714C22C2×D8×D4311yescharacteristic
715C22AGL(1,ℤ/8)×D4311yescharacteristic
716C22#1458370611yescharacteristic
717C22#1458370911yescharacteristic
718C4—22no—
719C4—42no—
720C4—41no—
721C4—81no—
722C4—434no—
723C4—862no—
724C4—862no—
725C4—3441no—
726C4—3441no—
727C4—3441no—
728C4—1721no—
729C4#1458342911yescharacteristic
730C4#1458351711yescharacteristic
731C4#1458353911yescharacteristic
732C4#1458354911yescharacteristic
733C2—82no—
734C2—82no—
735C2—3442no—
736C2#1913816911yescharacteristic
737C2#459×D4311yescharacteristic
738C2#1914410511yescharacteristic
739C2#1914640111yescharacteristic
740C2#1914691511yescharacteristic
741C2#1914722811yescharacteristic
742C2#1914738811yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1879C2
socleC23×C43C22×D4
prime radicalC2×#14583092C2
hypercenter#1879D43
hypocenterC43#25318
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
1. C2×#14583244C2semidirect
3. #19139546C2semidirect
4. #19137657C2semidirect
5. #19136001C2semidirect
6. #19136000C2semidirect
7. #19135905C2semidirect
8. #19135903C2semidirect
9. #19135545C2semidirect
10. #19135312C2semidirect
11. #19134940C2semidirect
12. #19134595C2semidirect
13. #19134594C2semidirect
14. #102×Dic43C2semidirect
15. C43×#1879C2semidirect
223. Dic43⋊C4D8semidirect
373. #1879D43semidirect
432. C43#25318semidirect

Maximal subgroups

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

subgroupindex
C2×#145832442
C2×#145830922
#191395462
#191376572
#191360012
#191360002
#191359052
#191359032
#191355452
#191353122
#191349402
#191345952
#191345942
#102×Dic432
C43×#18792
#2531843