Finite Group Databasebeta

← #25102986

Subgroups — #25102986

Order 11008.

1120 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583092C211yesmaximal, characteristic
2C2×#14583008C211yesmaximal, characteristic, complemented
3C2×D8×Dic43C211yesmaximal, characteristic, complemented
4#19137319C211yesmaximal, characteristic, complemented
5#19136956C211yesmaximal, characteristic, complemented
6#19135520C211yesmaximal, characteristic, complemented
7#19135366C211yesmaximal, characteristic, complemented
8#19135219C211yesmaximal, characteristic, complemented
9#19135216C211yesmaximal, characteristic, complemented
10#19134943C211yesmaximal, characteristic, complemented
11#19134603C211yesmaximal, characteristic, complemented
12#19134451C211yesmaximal, characteristic, complemented
13#19134422C211yesmaximal, characteristic, complemented
14#19134409C211yesmaximal, characteristic, complemented
15C43×#1879C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C2×#13063321C2211yescharacteristic
18C2×D4×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22#14583092C418yescomplemented
23#14583008—24no—
24D8×Dic43—24no—
25C2×#13063259C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37#14582801C2211yescharacteristic
38#14582776—21no—
39#14582776—21no—
40#14582775—21no—
41#14582775—21no—
42#14582764C2211yescharacteristic
43C4⋊C4×Dic43C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4×C4⋊Dic43C2211yescharacteristic
46C22⋊C4×Dic43—21no—
47C22⋊C4×Dic43—21no—
48C4×C22⋊Dic43—21no—
49#14582745C2211yescharacteristic
50C2×C43⋊#95—21no—
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582654C2211yescharacteristic
55C22×D8×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#390C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C22×D172C2311yescharacteristic
63C22×C22⋊D43—21no—
64C22×C22⋊D43—21no—
65C23×Dic43—21no—
66C23×Dic43—21no—
67C23×Dic43—21no—
68C22×C4×D43—21no—
69C2×#10621882—22no—
70C2×#10621882—22no—
71C2×#10621882C2×C414yescomplemented
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74#13063321—22no—
75#13063321C2×C414yescomplemented
76D4×Dic43—22no—
77D4×Dic43—22no—
78D4×Dic43—22no—
79D4×Dic43—22no—
80D4×Dic43C2×C414yescomplemented
81D4×Dic43D414yescomplemented
82#13063287—22no—
83#13063287—22no—
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43C2311yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98#13063259—22no—
99#13063256—22no—
100Dic43⋊C8—22no—
101Dic43⋊C8C2×C414yescomplemented
102#13063247—22no—
103#13063247C2×C414yescomplemented
104#13063246—22no—
105#13063246—22no—
106#13063246C2×C414yescomplemented
107#13063245—22no—
108#13063235—22no—
109C8×Dic43—22no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95D411yescharacteristic
116C43⋊#95D411yescharacteristic
117C43⋊#95D411yescharacteristic
118C43⋊#95D411yescharacteristic
119C22×D4×C43C2311yescharacteristic
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43—21no—
122C2×D8×C43—22no—
123C2×D8×C43—22no—
124C2×D8×C43C2×C414yescomplemented
125C22×C8×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C4×D4×C43—22no—
128C4×D4×C43—22no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134C2×C42×C43C2311yescharacteristic
135#102×C43—22no—
136#102×C43—22no—
137C24×C43—21no—
138C24×C43—21no—
139C23×D43—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×C43C22×C412yes—
149C2×D4×C43C22×C412yes—
150C2×D4×C43C2×D412yes—
151C2×D4×C43#4112yes—
152C22×C4×C43—24no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—81no—
156C22×C4×C43—81no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160C2×C22⋊D43—24no—
161C2×C22⋊D43—24no—
162C2×C22⋊D43—81no—
163C2×C22⋊D43—81no—
164C2×C22⋊D43—81no—
165C2×C22⋊D43—81no—
166C22×Dic43—24no—
167C22×Dic43—24no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—42no—
172C22×Dic43—81no—
173C22×Dic43—81no—
174C22×Dic43—81no—
175C22×Dic43—81no—
176C22×Dic43—81no—
177C22×Dic43—81no—
178C22×Dic43C2×D411yescharacteristic
179C22×Dic43C2×D411yescharacteristic
180C22×Dic43C2×D411yescharacteristic
181C22×Dic43C2×D411yescharacteristic
182C2×D172—21no—
183C2×D172—21no—
184C2×D172—21no—
185C2×D172—21no—
186C2×D172—21no—
187C2×D172C22×C412yes—
188C2×C4×D43—42no—
189C2×C4×D43—81no—
190C2×C4×D43—81no—
191D8×C43—28no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C22×C412yes—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43#4112yes—
202C22⋊C4×C43—24no—
203C22⋊C4×C43—81no—
204C22⋊C4×C43—81no—
205C42×C43—21no—
206C42×C43—21no—
207C22⋊Dic43—24no—
208C22⋊Dic43—24no—
209C22⋊Dic43—42no—
210#10621882—28no—
211(C2×D43)⋊C4—42no—
212(C2×D43)⋊C4—81no—
213(C2×D43)⋊C4—81no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43C22×C412yes—
219C4⋊Dic43C2×D412yes—
220C4×Dic43—81no—
221C4×Dic43—81no—
222C4×Dic43—81no—
223C4×Dic43C22×C412yes—
224C4×Dic43C2×D412yes—
225C4×Dic43#4112yes—
226C4×Dic43#4112yes—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8C22×C412yes—
233C23×C43—22no—
234C23×C43—22no—
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×C43C22×D411yescharacteristic
248C22×D43—22no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255D4×C43—22no—
256D4×C43—22no—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—22no—
260D4×C43—41no—
261D4×C43—41no—
262D4×C43C4×D414yes—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—22no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—84no—
276C2×C4×C43C23×C411yescharacteristic
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C22⋊D43—84no—
283C22⋊D43—84no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—84no—
302C2×Dic43—84no—
303C2×Dic43—84no—
304C2×Dic43C4×D412yes—
305C2×Dic43C4×D412yes—
306C2×Dic43#12112yes—
307C2×Dic43#12112yes—
308D172—22no—
309D172—22no—
310D172—41no—
311D172—41no—
312C4×D43—84no—
313C8×C43—22no—
314C8×C43—41no—
315C43⋊C8—22no—
316C43⋊C8—41no—
317#21513—431nomaximal, Sylow
318C22×C43—24no—
319C22×C43—42no—
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—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43C2×C4×D411yescharacteristic
333C22×C43C2×#12111yescharacteristic
334C22×C43#52511yescharacteristic
335C22×C43#57611yescharacteristic
336C22×C43#57611yescharacteristic
337C22×C43#57611yescharacteristic
338C22×C43#57711yescharacteristic
339C2×D43—42no—
340C2×D43—42no—
341C2×D43—42no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C2×D43—81no—
346C4×C43—41no—
347C4×C43—41no—
348C4×C43—42no—
349C4×C43—81no—
350C4×C43C2×C4×D411yescharacteristic
351C4×C43C4×#4111yescharacteristic
352C4×C43#52911yescharacteristic
353C4×C43#53211yescharacteristic
354Dic43—22no—
355Dic43—22no—
356Dic43—22no—
357Dic43—22no—
358Dic43—42no—
359Dic43—42no—
360Dic43—81no—
361C2×#459—431no—
362C2×#442—431no—
363C2×C4×D8—431no—
364#2328—431no—
365#2275—431no—
366#1982—431no—
367#1949—431no—
368#1926—431no—
369#1925—431no—
370#1879—431no—
371#1879D4311yescharacteristic, complemented
372#1804—431no—
373#1768—431no—
374#1762—431no—
375C4×#102—431no—
376C2×C43—44no—
377C2×C43—82no—
378C2×C43C4×#12111yescharacteristic
379C2×C43#294611yescharacteristic
380C2×C43#294811yescharacteristic
381C2×C43#304111yescharacteristic
382C2×C43#304511yescharacteristic
383C2×C43#311911yescharacteristic
384C2×C43#312211yescharacteristic
385D43—82no—
386C22×D8—431no—
387C22×D8C2×D4311yescharacteristic
388C2×#127—431no—
389C2×C4×D4—431no—
390C2×C4×D4—431no—
391C2×C4×D4—431no—
392C2×C4×D4—431no—
393C2×C4×D4C2×D4311yescharacteristic
394#459—438no—
395#442—864no—
396C4×D8—864no—
397C2×#107—431no—
398C2×#106—431no—
399C2×C4⋊C8—431no—
400C2×C4⋊C8—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102—431no—
406C2×#102—431no—
407C2×#102C2×D4311yescharacteristic
408C2×#102C2×D4311yescharacteristic
409C2×#97—431no—
410C2×C4×C8—431no—
411#390—431no—
412#390C2×D4311yescharacteristic
413#386—861no—
414#386—861no—
415#386—861no—
416#386—861no—
417#382—431no—
418C4×C4⋊C4—431no—
419C4×C4⋊C4—431no—
420C4×C4⋊C4—431no—
421C4×C22⋊C4—861no—
422C4×C22⋊C4—861no—
423C4×C22⋊C4—861no—
424#376—431no—
425C2×#95—861no—
426#340—431no—
427#340—431no—
428#340—431no—
429#340C2×D4311yescharacteristic
430#336—431no—
431#336C2×D4311yescharacteristic
432C43#2151311yescharacteristic, complemented, Sylow
433C22×D4—431no—
434C22×D4—861no—
435C22×D4—861no—
436C22×D4C22×D4311yescharacteristic
437C22×D4C22×D4311yescharacteristic
438C23×C4—21no—
439C23×C4—861no—
440C23×C4—861no—
441C23×C4—861no—
442C23×C4—861no—
443C2×D8—22no—
444C2×D8—22no—
445C2×D8—434no—
446C2×D8—862no—
447C2×D8—862no—
448C2×D8C4×D4314yescomplemented
449C22×C8—431no—
450C22×C8—431no—
451C22×C8C22×D4311yescharacteristic
452C22×C8C22×D4311yescharacteristic
453#127—434no—
454#127—862no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—434no—
458C4×D4—434no—
459C4×D4—862no—
460C4×D4—862no—
461C4×D4—862no—
462C4×D4—862no—
463C4×D4—862no—
464C4×D4—862no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C22⋊C4—861no—
478C2×C22⋊C4—861no—
479C2×C42—431no—
480C2×C42—431no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42—861no—
484C2×C42C22×D4311yescharacteristic
485#107—862no—
486#106—862no—
487C4⋊C8—434no—
488C4⋊C8—862no—
489#102—22no—
490#102—22no—
491#102—434no—
492#102—434no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—862no—
497#97—862no—
498C4×C8—862no—
499#95—431no—
500#95—431no—
501#95—431no—
502#95—431no—
503#95—861no—
504#95—861no—
505#95—861no—
506#95—861no—
507#95—861no—
508C24—21no—
509C24—21no—
510C24—861no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—432no—
520C2×D4—864no—
521C2×D4—864no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—3441no—
528C2×D4—3441no—
529C2×D4—3441no—
530C2×D4—3441no—
531C2×D4C2×C4×D4312yes—
532C2×D4C2×C4×D4312yes—
533C2×D4D4×D4312yes—
534C2×D4#1062190012yes—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—21no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—864no—
545C22×C4—864no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—3441no—
550C22×C4—3441no—
551C22×C4—3441no—
552C22×C4—3441no—
553C22×C4—3441no—
554C22×C4—3441no—
555C22×C4—3441no—
556C22×C4—3441no—
557C22×C4—1722no—
558C22×C4—1722no—
559C22×C4D4×D4311yescharacteristic
560C22×C4D4×D4311yescharacteristic
561C22×C4C23×D4311yescharacteristic
562D8—28no—
563D8—868no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—432no—
570C2×C8—861no—
571C2×C8—861no—
572C2×C8—861no—
573C2×C8—861no—
574C2×C8—861no—
575C2×C8C2×C4×D4312yes—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—432no—
580C4⋊C4—432no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4#1062190012yes—
586C22⋊C4—24no—
587C22⋊C4—81no—
588C22⋊C4—81no—
589C22⋊C4—864no—
590C22⋊C4—864no—
591C22⋊C4—3441no—
592C22⋊C4—3441no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C42—21no—
596C42—21no—
597C42—432no—
598C42—432no—
599C42—432no—
600C42—432no—
601C42—3441no—
602C42—3441no—
603C42—3441no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—862no—
619C23—1721no—
620C23—1721no—
621C23—1721no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23C2×D4×D4311yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—22no—
630D4—22no—
631D4—41no—
632D4—41no—
633D4—862no—
634D4—862no—
635D4—3444no—
636D4—3444no—
637D4—1721no—
638D4—1721no—
639D4(C22⋊D43)⋊C414yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—84no—
653C2×C4—432no—
654C2×C4—432no—
655C2×C4—432no—
656C2×C4—432no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—862no—
666C2×C4—862no—
667C2×C4—3444no—
668C2×C4—3444no—
669C2×C4—3444no—
670C2×C4—3444no—
671C2×C4—1721no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4C22×C4×D4311yescharacteristic
679C2×C4C2×D4×D4311yescharacteristic
680C2×C4#41×D4311yescharacteristic
681C2×C4#41×D4311yescharacteristic
682C2×C4C2×#1062190011yescharacteristic
683C2×C4C2×#1062190011yescharacteristic
684C8—22no—
685C8—41no—
686C8—862no—
687C8—1721no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—3441no—
703C22—3441no—
704C22—3441no—
705C22—3441no—
706C22—1722no—
707C22—1722no—
708C22—1722no—
709C22C4×D4×D4311yescharacteristic
710C22#121×D4311yescharacteristic
711C22#1458340511yescharacteristic
712C22#1458370011yescharacteristic
713C22#1458370111yescharacteristic
714C22#1458370311yescharacteristic
715C22#1458370911yescharacteristic
716C4—41no—
717C4—41no—
718C4—42no—
719C4—81no—
720C4—862no—
721C4—862no—
722C4—862no—
723C4—862no—
724C4—3441no—
725C4—1722no—
726C4—1722no—
727C4C2×(C22⋊D43)⋊C411yescharacteristic
728C4C4×#1062190011yescharacteristic
729C4#1458342611yescharacteristic
730C4#1458344411yescharacteristic
731C2—44no—
732C2—82no—
733C2—3442no—
734C2#1913710511yescharacteristic
735C2#1914342411yescharacteristic
736C2#1914344211yescharacteristic
737C2#1914409611yescharacteristic
738C2#1914412911yescharacteristic
739C2#1914478711yescharacteristic
740C2#1914483211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1879C2
socleC23×C43C22×D4
prime radicalC2×#14583092C2
cosocleC22×C4×C43C24
hypercenter#1879D43
hypocenterC43#21513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
2. C2×#14583008C2semidirect
3. C2×D8×Dic43C2semidirect
4. #19137319C2semidirect
5. #19136956C2semidirect
6. #19135520C2semidirect
7. #19135366C2semidirect
8. #19135219C2semidirect
9. #19135216C2semidirect
10. #19134943C2semidirect
11. #19134603C2semidirect
12. #19134451C2semidirect
13. #19134422C2semidirect
14. #19134409C2semidirect
15. C43×#1879C2semidirect
22. #14583092C4semidirect
71. C2×#10621882C2×C4semidirect
75. #13063321C2×C4semidirect
80. D4×Dic43C2×C4semidirect
81. D4×Dic43D4semidirect
101. Dic43⋊C8C2×C4semidirect
103. #13063247C2×C4semidirect
106. #13063246C2×C4semidirect
124. C2×D8×C43C2×C4semidirect
371. #1879D43semidirect
432. C43#21513semidirect
448. C2×D8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830922
C2×#145830082
C2×D8×Dic432
#191373192
#191369562
#191355202
#191353662
#191352192
#191352162
#191349432
#191346032
#191344512
#191344222
#191344092
C43×#18792
#2151343