Finite Group Databasebeta

← #25133113

Subgroups — #25133113

Order 11008.

1296 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic86C211yesmaximal, characteristic, complemented
2C2×#14583187C211yesmaximal, characteristic, complemented
3C2×#14583011C211yesmaximal, characteristic
4#19139951C211yesmaximal, characteristic, complemented
5#19135929C211yesmaximal, characteristic, complemented
6#19135927C211yesmaximal, characteristic, complemented
7#19135731C211yesmaximal, characteristic, complemented
8#19135729C211yesmaximal, characteristic, complemented
9#19135566C211yesmaximal, characteristic, complemented
10#19135533C211yesmaximal, characteristic, complemented
11#19134945C211yesmaximal, characteristic
12#19134858C211yesmaximal, characteristic, complemented
13#19134856C211yesmaximal, characteristic, complemented
14#19134603C211yesmaximal, characteristic, complemented
15C43×#1879C211yesmaximal, characteristic
16C23×Dic86—21no—
17D4×Dic86—24no—
18D4×Dic86—24no—
19C2×#13063325C2211yescharacteristic
20C2×#13063324C2211yescharacteristic
21C2×#13063324C2211yescharacteristic
22C2×#13063304—21no—
23C2×#13063302—21no—
24C2×#13063302—21no—
25C2×C4×Dic86C2211yescharacteristic
26C2×D4×Dic43C2211yescharacteristic
27C2×D4×Dic43C2211yescharacteristic
28C2×D4×Dic43C2211yescharacteristic
29#14583187—24no—
30#14583011—24no—
31C2×#13063257C2211yescharacteristic
32C2×#13063257C2211yescharacteristic
33C2×#13063256C2211yescharacteristic
34C2×Dic43⋊C8C2211yescharacteristic
35C2×#13063246C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37C2×#13063246C2211yescharacteristic
38C2×#13063246C2211yescharacteristic
39C2×#13063235C2211yescharacteristic
40#14582835—21no—
41#14582811—21no—
42#14582802C2211yescharacteristic
43#14582798C2211yescharacteristic
44#14582797C2211yescharacteristic
45#14582774—21no—
46#14582771—21no—
47#14582764C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×D8×C43C2211yescharacteristic
57C2×C4×D4×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C43×#390C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86—28no—
64C22×Dic86—21no—
65C22×Dic86—21no—
66C22×Dic86—21no—
67C22×Dic86—44no—
68C22×Dic86—44no—
69C22×Dic86D411yescharacteristic
70C23×Dic43—21no—
71C23×Dic43—21no—
72C23×Dic43—21no—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75#13063325—22no—
76#13063325—22no—
77#13063324—22no—
78#13063324—22no—
79#13063324—22no—
80#13063324D414yes—
81#13063304—28no—
82#13063302—28no—
83#13063302—28no—
84C4×Dic86—22no—
85C4×Dic86—22no—
86D4×Dic43—22no—
87D4×Dic43—22no—
88D4×Dic43—22no—
89D4×Dic43—22no—
90D4×Dic43—22no—
91D4×Dic43D414yes—
92C2×C4⋊Dic43—21no—
93C2×C4⋊Dic43—21no—
94C2×C4⋊Dic43D411yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×C4⋊Dic43C2311yescharacteristic
98C2×C4⋊Dic43C2311yescharacteristic
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4D411yescharacteristic
103C2×Dic43⋊C4D411yescharacteristic
104C2×C22⋊Dic43—21no—
105C2×C22⋊Dic43—21no—
106C2×C22⋊Dic43—21no—
107C2×C22⋊Dic43—21no—
108C2×C22⋊Dic43—21no—
109C2×C4×Dic43C2311yescharacteristic
110C2×C4×Dic43C2311yescharacteristic
111#13063257—22no—
112#13063257—22no—
113#13063256—22no—
114Dic43⋊C8—22no—
115#13063246—22no—
116#13063246—22no—
117#13063246—22no—
118#13063246—22no—
119#13063235—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C22×D4×C43C2311yescharacteristic
125C22×D4×C43C2311yescharacteristic
126C23×C4×C43—21no—
127C2×D8×C43—22no—
128C2×D8×C43—22no—
129C2×D8×C43Q814yescomplemented
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C4×D4×C43—22no—
133C4×D4×C43—22no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C22⋊C4×C43—21no—
137C2×C22⋊C4×C43—21no—
138C2×C22⋊C4×C43—21no—
139C2×C42×C43C2311yescharacteristic
140#102×C43—22no—
141#102×C43—22no—
142C24×C43—21no—
143C24×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43C2×D412yes—
153C2×D4×C43C2×Q812yes—
154C2×D4×C43C2×Q812yescomplemented
155C2×D4×C43#4112yes—
156C22×C4×C43—24no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—42no—
160C22×C4×C43—42no—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2411yescharacteristic
164C22×Dic43—24no—
165C22×Dic43—24no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43—42no—
174C22×Dic43—42no—
175C22×Dic43—81no—
176C22×Dic43—81no—
177C22×Dic43C2×D411yescharacteristic
178C22×Dic43C2×D411yescharacteristic
179C22×Dic43C2×D411yescharacteristic
180C22×Dic43C2×D411yescharacteristic
181C2×Dic86—22no—
182C2×Dic86—22no—
183C2×Dic86—22no—
184C2×Dic86—24no—
185C2×Dic86—24no—
186C2×Dic86—24no—
187C2×Dic86—432no—
188C2×Dic86—42no—
189C2×Dic86—42no—
190C2×Dic86—42no—
191C2×Dic86—42no—
192C2×Dic86—42no—
193C2×Dic86—42no—
194D8×C43—28no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43C2×Q812yescomplemented
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43C2×D412yes—
205C22⋊C4×C43—24no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—81no—
208C42×C43—21no—
209C42×C43—21no—
210C22⋊Dic43—24no—
211C22⋊Dic43—24no—
212C22⋊Dic43—42no—
213C22⋊Dic43—42no—
214C22⋊Dic43—81no—
215C4⋊Dic43—24no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—22no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—81no—
224C4⋊Dic43C2×D412yes—
225C4⋊Dic43C2×D412yes—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—22no—
229Dic43⋊C4—22no—
230Dic43⋊C4—81no—
231C4×Dic43—21no—
232C4×Dic43—21no—
233C4×Dic43C2×D412yes—
234C4×Dic43C2×D412yes—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241C23×C43—22no—
242C23×C43—22no—
243C23×C43—22no—
244C23×C43—22no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—41no—
254C23×C43—41no—
255C23×C43C22×D411yescharacteristic
256D4×C43—22no—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—22no—
260D4×C43—22no—
261D4×C43—41no—
262D4×C43—41no—
263D4×C43C22⋊Q814yes—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—22no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—48no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43AGL(1,ℤ/8)12yes—
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C22×Q811yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C432−1+411yescharacteristic
282C2×C4×C432−1+411yescharacteristic
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—48no—
295C2×Dic43—48no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—84no—
307C2×Dic43#12012yes—
308C2×Dic43#12012yes—
309C2×Dic43AGL(1,ℤ/8)12yes—
310Dic86—28no—
311Dic86—48no—
312Dic86—48no—
313Dic86—48no—
314C8×C43—22no—
315C8×C43—41no—
316C43⋊C8—41no—
317C43⋊C8—41no—
318#24338—431nomaximal, Sylow
319C22×C43—24no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43C2×#12011yescharacteristic
334C22×C43#54811yescharacteristic
335C22×C43D4×Q811yescharacteristic
336C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
337C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
338C22×C43#57711yescharacteristic
339C22×C43#57711yescharacteristic
340C4×C43—22no—
341C4×C43—42no—
342C4×C43—41no—
343C4×C43—81no—
344C4×C43C2×C22⋊Q811yescharacteristic
345C4×C43#53611yescharacteristic
346C4×C43#54811yescharacteristic
347C4×C43D4×Q811yescharacteristic
348Dic43—22no—
349Dic43—22no—
350Dic43—22no—
351Dic43—42no—
352Dic43—42no—
353Dic43—41no—
354Dic43—81no—
355Dic43—81no—
356C2×D4×Q8—431no—
357C2×#476—431no—
358C2×#442—431no—
359#2580—431no—
360#2058—431no—
361#2058—431no—
362#2023—431no—
363#2023—431no—
364#1993—431no—
365#1985—431no—
366#1879—431no—
367#1879D4311yescharacteristic
368#1864—431no—
369#1864—431no—
370#1804—431no—
371C2×C43—44no—
372C2×C43—82no—
373C2×C43#240911yescharacteristic
374C2×C43#300311yescharacteristic
375C2×C43#301011yescharacteristic
376C2×C43#337311yescharacteristic
377C2×C43#337311yescharacteristic
378C2×C43#338411yescharacteristic
379C2×C43#338411yescharacteristic
380C23×Q8—861no—
381C22×D8C2×D4311yescharacteristic
382D4×Q8—864no—
383D4×Q8—864no—
384C2×C4⋊Q8—431no—
385C2×C4⋊Q8—431no—
386C2×C4⋊Q8—431no—
387C2×C22⋊Q8—861no—
388C2×C22⋊Q8—861no—
389C2×C22⋊Q8—861no—
390C2×C4×Q8—431no—
391C2×C4×D4—431no—
392C2×C4×D4—431no—
393C2×C4×D4—431no—
394C2×C4×D4C2×D4311yescharacteristic
395#476—864no—
396#442—864no—
397C2×#106—431no—
398C2×#106—431no—
399C2×#106—431no—
400C2×C4⋊C8—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102C2×D4311yescharacteristic
406C2×#102C2×D4311yescharacteristic
407C2×#97—431no—
408#399—861no—
409#393—861no—
410#390—431no—
411#390C2×D4311yescharacteristic
412#389—431no—
413#389—431no—
414#385—861no—
415#385—861no—
416#382—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#340—431no—
421#340—431no—
422#340C2×D4311yescharacteristic
423#336—431no—
424#336—431no—
425#336—431no—
426#336C2×D4311yescharacteristic
427C43#2433811yescharacteristic, complemented, Sylow
428C22×Q8—431no—
429C22×Q8—861no—
430C22×Q8—861no—
431C22×Q8—868no—
432C22×Q8—861no—
433C22×Q8—1724no—
434C22×Q8—1724no—
435C22×D4C22×D4311yescharacteristic
436C22×D4C22×D4311yescharacteristic
437C23×C4—21no—
438C23×C4—861no—
439C23×C4—861no—
440C23×C4—861no—
441C2×D8—22no—
442C2×D8—22no—
443C2×D8Dic8614yescomplemented
444C22×C8—431no—
445C22×C8—431no—
446C22×C8C22×D4311yescharacteristic
447C22×C8C22×D4311yescharacteristic
448C4⋊Q8—434no—
449C4⋊Q8—862no—
450C4⋊Q8—862no—
451C4⋊Q8—862no—
452C4⋊Q8—862no—
453C4⋊Q8—862no—
454C22⋊Q8—868no—
455C22⋊Q8—868no—
456C22⋊Q8—868no—
457C4×Q8—862no—
458C4×Q8—862no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—434no—
462C4×D4—862no—
463C4×D4—862no—
464C4×D4—862no—
465C4×D4—862no—
466C4×D4—862no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4C22×D4311yescharacteristic
480C2×C4⋊C4C22×D4311yescharacteristic
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C42—431no—
490C2×C42—431no—
491C2×C42C22×D4311yescharacteristic
492#106—862no—
493#106—862no—
494#106—862no—
495C4⋊C8—862no—
496#102—22no—
497#102—22no—
498#102—862no—
499#102—862no—
500#102—862no—
501#102—862no—
502#97—862no—
503#95—861no—
504#95—861no—
505#95—861no—
506#95—861no—
507C24—21no—
508C24—21no—
509C2×Q8—862no—
510C2×Q8—862no—
511C2×Q8—864no—
512C2×Q8—864no—
513C2×Q8—864no—
514C2×Q8—862no—
515C2×Q8—1722no—
516C2×Q8—1722no—
517C2×Q8—1722no—
518C2×Q8—1722no—
519C2×Q8—1722no—
520C2×Q8—17232no—
521C2×Q8—1722no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4C2×Dic8612yes—
531C2×D4C2×Dic8612yescomplemented
532C2×D4D4×D4312yes—
533C2×D4#1062190012yes—
534C22×C4—24no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—431no—
543C22×C4—864no—
544C22×C4—864no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—3441no—
550C22×C4—3441no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4—1722no—
554C22×C4—1722no—
555C22×C4—1722no—
556C22×C4D4×D4311yescharacteristic
557C22×C4D4×D4311yescharacteristic
558C22×C4C23×D4311yescharacteristic
559D8—28no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8C2×Dic8612yescomplemented
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—432no—
576C4⋊C4—432no—
577C4⋊C4—862no—
578C4⋊C4—862no—
579C4⋊C4—862no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—3441no—
590C4⋊C4—3441no—
591C4⋊C4D4×D4312yes—
592C22⋊C4—24no—
593C22⋊C4—42no—
594C22⋊C4—81no—
595C22⋊C4—864no—
596C22⋊C4—864no—
597C22⋊C4—3441no—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C42—21no—
601C42—21no—
602C42—432no—
603C42—432no—
604C42—861no—
605C42—861no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23C2×D4×D4311yescharacteristic
621Q8—868no—
622Q8—1728no—
623Q8—1728no—
624Q8—1728no—
625D4—22no—
626D4—22no—
627D4—22no—
628D4—22no—
629D4—22no—
630D4—41no—
631D4—41no—
632D4#1306330214yes—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—48no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—432no—
646C2×C4—432no—
647C2×C4—432no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—862no—
656C2×C4—862no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—3444no—
660C2×C4—1728no—
661C2×C4—1728no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4#1306334912yes—
673C2×C4C2×D4×D4311yescharacteristic
674C2×C4C2×D4×D4311yescharacteristic
675C2×C4C22×Dic8611yescharacteristic
676C2×C4C2×#1062190011yescharacteristic
677C2×C4#1306337211yescharacteristic
678C2×C4#1306337211yescharacteristic
679C8—22no—
680C8—41no—
681C8—1721no—
682C8—1721no—
683C22—24no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22#120×D4311yescharacteristic
698C22#1458355511yescharacteristic
699C22D4×Dic8611yescharacteristic
700C22AGL(1,ℤ/8)×D4311yescharacteristic
701C22C2×#1306334911yescharacteristic
702C22#1458370611yescharacteristic
703C22#1458370911yescharacteristic
704C4—22no—
705C4—42no—
706C4—41no—
707C4—81no—
708C4—862no—
709C4—862no—
710C4—862no—
711C4—3441no—
712C4—3441no—
713C4—1722no—
714C4—1722no—
715C4—1721no—
716C4C2×#1306330211yescharacteristic
717C4#1458347111yescharacteristic
718C4#1458355511yescharacteristic
719C4D4×Dic8611yescharacteristic
720C2—44no—
721C2—82no—
722C2#1913795711yescharacteristic
723C2#1914381911yescharacteristic
724C2#1914387811yescharacteristic
725C2#1914738211yescharacteristic
726C2#1914739111yescharacteristic
727C2#1914749211yescharacteristic
728C2#1914749511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1879C2
socleC23×C43C22×D4
prime radicalC22×D8×C43C22
hypercenter#1879D43
hypocenterC43#24338
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×D4×Dic86C2semidirect
2. C2×#14583187C2semidirect
4. #19139951C2semidirect
5. #19135929C2semidirect
6. #19135927C2semidirect
7. #19135731C2semidirect
8. #19135729C2semidirect
9. #19135566C2semidirect
10. #19135533C2semidirect
12. #19134858C2semidirect
13. #19134856C2semidirect
14. #19134603C2semidirect
129. C2×D8×C43Q8semidirect
154. C2×D4×C43C2×Q8semidirect
200. C2×C8×C43C2×Q8semidirect
427. C43#24338semidirect
443. C2×D8Dic86semidirect
531. C2×D4C2×Dic86semidirect
571. C2×C8C2×Dic86semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic862
C2×#145831872
C2×#145830112
#191399512
#191359292
#191359272
#191357312
#191357292
#191355662
#191355332
#191349452
#191348582
#191348562
#191346032
C43×#18792
#2433843