Finite Group Databasebeta

← #25072592

Subgroups — #25072592

Order 11008.

914 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19145177C211yesmaximal, characteristic, complemented
2#19144634C211yesmaximal, characteristic, complemented
3#19144383C211yesmaximal, characteristic
4#19133844C211yesmaximal, characteristic, complemented
5#19133837C211yesmaximal, characteristic, complemented
6#19133816C211yesmaximal, characteristic, complemented
7#19133809C211yesmaximal, characteristic, complemented
8#19133760C211yesmaximal, characteristic, complemented
9#19133753C211yesmaximal, characteristic, complemented
10#19133735C211yesmaximal, characteristic, complemented
11#19133729C211yesmaximal, characteristic, complemented
12#19133252C211yesmaximal, characteristic, complemented
13#19132977C211yesmaximal, characteristic
14C2×Q8⋊(C43⋊C8)C211yesmaximal, characteristic, complemented
15Q8×#41×C43C211yesmaximal, characteristic
16#14583456C2211yescharacteristic
17#14583302C2211yescharacteristic
18#14583278C2211yescharacteristic
19#14583251C2211yescharacteristic
20#14583249C2211yescharacteristic
21#14583234—21no—
22#14583206—21no—
23#14583199—21no—
24#14583194C2211yescharacteristic
25#14583194C2211yescharacteristic
26#14583194C2211yescharacteristic
27#14583189C2211yescharacteristic
28#14583184C2211yescharacteristic
29#14583179C2211yescharacteristic
30#14583138—22no—
31#14583109C2211yescharacteristic
32#14583109C2211yescharacteristic
33#14583055—21no—
34C4×#10621885—21no—
35C4×#10621885—21no—
36C4×#10621885—22no—
37#14582952C2211yescharacteristic
38#14582935—21no—
39C2×C4⋊(C43⋊C8)C2211yescharacteristic
40#14582895—21no—
41C2×C4×C43⋊C8C2211yescharacteristic
42#14582648C2211yescharacteristic
43#14582648C2211yescharacteristic
44#14582645C2211yescharacteristic
45#14582645C2211yescharacteristic
46Q8⋊(C43⋊C8)C2211yescharacteristic
47Q8⋊(C43⋊C8)C2211yescharacteristic
48Q8⋊(C43⋊C8)C2211yescharacteristic
49Q8⋊(C43⋊C8)C2211yescharacteristic
50Q8⋊(C43⋊C8)C2211yescharacteristic
51Q8⋊(C43⋊C8)C2211yescharacteristic
52D4⋊(C43⋊C8)C2211yescharacteristic
53D4⋊(C43⋊C8)C2211yescharacteristic
54Q82×C43C2211yescharacteristic
55C43×#557—21no—
56C43×#557C2211yescharacteristic
57C43×#554—22no—
58C43×#554—21no—
59C43×#554—21no—
60C43×#554C2211yescharacteristic
61D4×Q8×C43—21no—
62D4×Q8×C43C2211yescharacteristic
63C43×#533—22no—
64C43×#533—21no—
65C43×#533—21no—
66C43×#533C2211yescharacteristic
67C4×#41×C43—21no—
68C4×#41×C43C2211yescharacteristic
69C2×C4×Q8×C43—21no—
70C2×C4×Q8×C43C2211yescharacteristic
71C2×#10621885—21no—
72C2×#10621885—21no—
73C2×#10621885—22no—
74C22×C43⋊C8—21no—
75C22×C43⋊C8—21no—
76#13063325C2311yescharacteristic
77#13063325C2311yescharacteristic
78#13063317—21no—
79#13063304—21no—
80#13063304—21no—
81C4×Dic86—21no—
82C4×Dic86—21no—
83#13063284—21no—
84#13063258—22no—
85#13063258—21no—
86#13063258—21no—
87#13063258—21no—
88#13063258—21no—
89#13063256—21no—
90#13063256—21no—
91C4⋊(C43⋊C8)—21no—
92C4⋊(C43⋊C8)C2311yescharacteristic
93C4⋊(C43⋊C8)C2311yescharacteristic
94C4⋊(C43⋊C8)C2311yescharacteristic
95C4⋊(C43⋊C8)C2311yescharacteristic
96#13063249—21no—
97#13063249—21no—
98#13063249—22no—
99#13063249—21no—
100#13063249—21no—
101#13063248—21no—
102#13063248—21no—
103#13063248—22no—
104#13063246—21no—
105#13063246—21no—
106C22⋊(C43⋊C8)—21no—
107C4×C43⋊C8—21no—
108C4×C43⋊C8—21no—
109C4×C43⋊C8C2311yescharacteristic
110C4×C43⋊C8C2311yescharacteristic
111C2×#41×C43D411yescharacteristic
112C22×Q8×C43—21no—
113C22×Q8×C43D411yescharacteristic
114C4⋊Q8×C43—22no—
115C4⋊Q8×C43—21no—
116C4⋊Q8×C43—22no—
117C4⋊Q8×C43—21no—
118C4⋊Q8×C43—21no—
119C4⋊Q8×C43—21no—
120C4⋊Q8×C43C2311yescharacteristic
121C4⋊Q8×C43C2311yescharacteristic
122#125×C43—22no—
123#125×C43—22no—
124#125×C43—22no—
125#125×C43—21no—
126#125×C43—21no—
127#125×C43—21no—
128C22⋊Q8×C43—22no—
129C22⋊Q8×C43—22no—
130C22⋊Q8×C43—22no—
131C22⋊Q8×C43—22no—
132C22⋊Q8×C43—22no—
133C22⋊Q8×C43—21no—
134C22⋊Q8×C43—22no—
135C22⋊Q8×C43—21no—
136C22⋊Q8×C43—21no—
137C22⋊Q8×C43—22no—
138C22⋊Q8×C43D412yes—
139C4×Q8×C43—22no—
140C4×Q8×C43—22no—
141C4×Q8×C43—22no—
142C4×Q8×C43—21no—
143C4×Q8×C43—21no—
144C4×Q8×C43—21no—
145C4×Q8×C43—21no—
146C4×Q8×C43—21no—
147C4×Q8×C43—21no—
148C4×Q8×C43—21no—
149C4×Q8×C43D411yescharacteristic
150C4×Q8×C43D411yescharacteristic
151C4×Q8×C43D411yescharacteristic
152C4×Q8×C43D412yes—
153C4×Q8×C43C2311yescharacteristic
154C4×Q8×C43C2311yescharacteristic
155C4×Q8×C43C2311yescharacteristic
156C4×D4×C43—22no—
157C4×D4×C43—22no—
158C4×D4×C43—21no—
159C4×D4×C43—21no—
160C4×D4×C43—21no—
161C4×D4×C43—21no—
162C4×D4×C43D411yescharacteristic
163C4×D4×C43C2311yescharacteristic
164#117×C43—22no—
165#117×C43—21no—
166#117×C43—21no—
167#117×C43D411yescharacteristic
168C2×C4⋊C4×C43—22no—
169C2×C4⋊C4×C43—21no—
170C2×C4⋊C4×C43—21no—
171C2×C4⋊C4×C43D411yescharacteristic
172C2×C42×C43—22no—
173C2×C42×C43—21no—
174C2×C42×C43—21no—
175C2×C42×C43C2311yescharacteristic
176#41×C43—22no—
177#41×C43Q1614yescomplemented
178C2×Q8×C43—22no—
179C2×Q8×C43—22no—
180C2×Q8×C43—21no—
181C2×Q8×C43—21no—
182C2×Q8×C43—22no—
183C2×Q8×C43—41no—
184C2×Q8×C43—42no—
185C2×Q8×C43—42no—
186C2×Q8×C43C2×D411yescharacteristic
187C2×Q8×C43C2×D411yescharacteristic
188C2×Q8×C43C2×D411yescharacteristic
189C2×Q8×C43C2×D412yes—
190C2×D4×C43—21no—
191C2×D4×C43C2×D411yescharacteristic
192C22×C4×C43—21no—
193C22×C4×C43—22no—
194C22×C4×C43—22no—
195C22×C4×C43—21no—
196C22×C4×C43—21no—
197C22×C4×C43—21no—
198C22×C4×C43—21no—
199C22×C4×C43C2×D411yescharacteristic
200C22×C4×C43C2×D411yescharacteristic
201C22×C4×C43C2×D411yescharacteristic
202C2×Dic86—21no—
203C2×Dic86—21no—
204C4⋊C4×C43—22no—
205C4⋊C4×C43—22no—
206C4⋊C4×C43—22no—
207C4⋊C4×C43—22no—
208C4⋊C4×C43—22no—
209C4⋊C4×C43—22no—
210C4⋊C4×C43—22no—
211C4⋊C4×C43—22no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—22no—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—22no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43C2×D411yescharacteristic
225C4⋊C4×C43C2×D411yescharacteristic
226C4⋊C4×C43C2×D411yescharacteristic
227C4⋊C4×C43C2×D411yescharacteristic
228C4⋊C4×C43C2×D412yes—
229C22⋊C4×C43—22no—
230C22⋊C4×C43—22no—
231C22⋊C4×C43—21no—
232C22⋊C4×C43—21no—
233C22⋊C4×C43—22no—
234C22⋊C4×C43—21no—
235C42×C43—22no—
236C42×C43—22no—
237C42×C43—21no—
238C42×C43—22no—
239C42×C43—21no—
240C42×C43—21no—
241C42×C43—21no—
242C42×C43—21no—
243C42×C43—21no—
244C42×C43—21no—
245C42×C43C2×D411yescharacteristic
246C42×C43C2×D411yescharacteristic
247C42×C43C2×D411yescharacteristic
248C42×C43C2411yescharacteristic
249C22⋊Dic43—41no—
250#10621885—44no—
251#10621885—42no—
252#10621885—42no—
253C4⋊Dic43—21no—
254C4⋊Dic43—21no—
255C4⋊Dic43—21no—
256C4⋊Dic43—21no—
257Dic43⋊C4—41no—
258Dic43⋊C4—41no—
259C4×Dic43—41no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—21no—
264C2×C43⋊C8—21no—
265C2×C43⋊C8—21no—
266C2×C43⋊C8—42no—
267C2×C43⋊C8—42no—
268C23×C43—21no—
269C23×C43#12011yescharacteristic
270Q8×C43—21no—
271Q8×C43—21no—
272Q8×C43—21no—
273Q8×C43—21no—
274Q8×C43—42no—
275Q8×C43—42no—
276Q8×C43—44no—
277Q8×C43—41no—
278Q8×C43—41no—
279Q8×C43—82no—
280Q8×C43C2×Q1612yes—
281Q8×C43#13512yes—
282D4×C43—24no—
283D4×C43—21no—
284D4×C43C2×Q1612yes—
285C2×C4×C43—21no—
286C2×C4×C43—21no—
287C2×C4×C43—21no—
288C2×C4×C43—21no—
289C2×C4×C43—24no—
290C2×C4×C43—21no—
291C2×C4×C43—21no—
292C2×C4×C43—22no—
293C2×C4×C43—22no—
294C2×C4×C43—21no—
295C2×C4×C43—21no—
296C2×C4×C43—21no—
297C2×C4×C43—41no—
298C2×C4×C43—42no—
299C2×C4×C43—44no—
300C2×C4×C43—41no—
301C2×C4×C43—41no—
302C2×C4×C43—81no—
303C2×C4×C43—81no—
304C2×C4×C43—82no—
305C2×C4×C43#12011yescharacteristic
306C2×C4×C43#12011yescharacteristic
307C2×C4×C43#12011yescharacteristic
308C2×C4×C43C2×Q1612yes—
309C2×C4×C43#13712yes—
310C2×C4×C43C22×D411yescharacteristic
311C2×C4×C43C22×D411yescharacteristic
312C2×C4×C43C22×D411yescharacteristic
313C2×Dic43—41no—
314C2×Dic43—41no—
315Dic86—42no—
316Dic86—41no—
317Dic86—41no—
318C43⋊C8—22no—
319C43⋊C8—41no—
320C43⋊C8—41no—
321C43⋊C8—41no—
322C43⋊C8—41no—
323C43⋊C8—41no—
324#18519—431nomaximal, Sylow
325C22×C43—21no—
326C22×C43—21no—
327C22×C43—22no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43#45112yes—
331C22×C43C2×#12011yescharacteristic
332C4×C43—22no—
333C4×C43—21no—
334C4×C43—22no—
335C4×C43—21no—
336C4×C43—21no—
337C4×C43—41no—
338C4×C43—42no—
339C4×C43—41no—
340C4×C43—41no—
341C4×C43—42no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43#45112yes—
345C4×C43C22×Q1611yescharacteristic
346C4×C43C2×#13511yescharacteristic
347C4×C43C2×#13711yescharacteristic
348C4×C43#57511yescharacteristic
349Dic43—81no—
350Dic43—81no—
351Q8×#41D4311yescharacteristic
352#3170—431no—
353#3104—431no—
354#3076—431no—
355#1649—431no—
356#1648—431no—
357#1645—431no—
358#1644—431no—
359#1637—431no—
360#1636—431no—
361#1633—431no—
362#1632—431no—
363#1542—431no—
364#1476—431no—
365C2×Q8⋊C8—431no—
366C2×C43—22no—
367C2×C43—42no—
368C2×C43C2×#45111yescharacteristic
369C2×C43#300211yescharacteristic
370C2×C43#301811yescharacteristic
371Q82C2×D4311yescharacteristic
372#557—21no—
373#557C2×D4311yescharacteristic
374#554—22no—
375#554—21no—
376#554—21no—
377#554C2×D4311yescharacteristic
378D4×Q8—21no—
379D4×Q8C2×D4311yescharacteristic
380#533—22no—
381#533—21no—
382#533—21no—
383#533—431no—
384#533C2×D4311yescharacteristic
385C4×#41—21no—
386C4×#41C2×D4311yescharacteristic
387C2×C4×Q8—21no—
388C2×C4×Q8C2×D4311yescharacteristic
389#500—431no—
390#494—431no—
391#487—431no—
392#487—431no—
393#484—861no—
394#479—861no—
395#478—861no—
396#477—431no—
397#477—431no—
398#477—431no—
399#476—431no—
400#475—431no—
401#474—431no—
402#467—862no—
403#462—431no—
404#462—431no—
405#451—861no—
406C4×Q16—861no—
407C4×Q16—861no—
408C4×Q16—862no—
409#431—431no—
410#427—861no—
411C2×C4⋊C8—431no—
412#416—861no—
413C2×C4×C8—431no—
414#333—431no—
415#333—431no—
416#332—431no—
417#332—431no—
418Q8⋊C8—431no—
419Q8⋊C8—431no—
420Q8⋊C8—431no—
421Q8⋊C8—431no—
422Q8⋊C8—431no—
423Q8⋊C8—431no—
424D4⋊C8—431no—
425D4⋊C8—431no—
426C43#1851911yescharacteristic, complemented, Sylow
427C2×#41C22⋊D4311yescharacteristic
428C22×Q8—21no—
429C22×Q8C22⋊D4311yescharacteristic
430C2×Q16—861no—
431C2×Q16—861no—
432C2×Q16—862no—
433C22×C8—861no—
434C22×C8—861no—
435C4⋊Q8—22no—
436C4⋊Q8—21no—
437C4⋊Q8—22no—
438C4⋊Q8—21no—
439C4⋊Q8—21no—
440C4⋊Q8—21no—
441C4⋊Q8—431no—
442C4⋊Q8—431no—
443C4⋊Q8C22×D4311yescharacteristic
444C4⋊Q8C22×D4311yescharacteristic
445#125—22no—
446#125—22no—
447#125—22no—
448#125—21no—
449#125—21no—
450#125—21no—
451#125—861no—
452C22⋊Q8—22no—
453C22⋊Q8—22no—
454C22⋊Q8—22no—
455C22⋊Q8—22no—
456C22⋊Q8—22no—
457C22⋊Q8—21no—
458C22⋊Q8—22no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461C22⋊Q8—22no—
462C22⋊Q8—861no—
463C22⋊Q8—861no—
464C22⋊Q8C22⋊D4312yes—
465C4×Q8—22no—
466C4×Q8—22no—
467C4×Q8—22no—
468C4×Q8—21no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×Q8—21no—
475C4×Q8—861no—
476C4×Q8—861no—
477C4×Q8C22⋊D4311yescharacteristic
478C4×Q8C22⋊D4311yescharacteristic
479C4×Q8C22⋊D4311yescharacteristic
480C4×Q8C22⋊D4312yes—
481C4×Q8C22×D4311yescharacteristic
482C4×Q8C22×D4311yescharacteristic
483C4×Q8C22×D4311yescharacteristic
484C4×D4—22no—
485C4×D4—22no—
486C4×D4—21no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4C22⋊D4311yescharacteristic
491C4×D4C22×D4311yescharacteristic
492#117—22no—
493#117—21no—
494#117—21no—
495#117—861no—
496#117C22⋊D4311yescharacteristic
497C2×C4⋊C4—22no—
498C2×C4⋊C4—21no—
499C2×C4⋊C4—21no—
500C2×C4⋊C4C22⋊D4311yescharacteristic
501C2×C42—22no—
502C2×C42—21no—
503C2×C42—21no—
504C2×C42C22×D4311yescharacteristic
505#107—861no—
506#107—861no—
507#107—862no—
508#107—861no—
509#107—861no—
510#106—861no—
511#106—861no—
512C4⋊C8—431no—
513C4⋊C8—431no—
514C4⋊C8—431no—
515C4⋊C8—431no—
516C4⋊C8—861no—
517#103—861no—
518#103—861no—
519#103—861no—
520#103—861no—
521#103—862no—
522#103—861no—
523#103—861no—
524#103—862no—
525#102—861no—
526#102—861no—
527C22⋊C8—861no—
528C4×C8—431no—
529C4×C8—431no—
530C4×C8—861no—
531C4×C8—861no—
532#41—22no—
533#41#1062188514yescomplemented
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—22no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8—42no—
542C2×Q8—861no—
543C2×Q8—861no—
544C2×Q8C2×C22⋊D4311yescharacteristic
545C2×Q8C2×C22⋊D4311yescharacteristic
546C2×Q8C2×C22⋊D4311yescharacteristic
547C2×Q8C2×C22⋊D4312yes—
548C2×D4—21no—
549C2×D4C2×C22⋊D4311yescharacteristic
550C22×C4—21no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—22no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4C2×C22⋊D4311yescharacteristic
558C22×C4C2×C22⋊D4311yescharacteristic
559C22×C4C2×C22⋊D4311yescharacteristic
560Q16—1724no—
561Q16—1722no—
562Q16—1722no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—1722no—
570C2×C8—1722no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—1721no—
596C4⋊C4—1721no—
597C4⋊C4C2×C22⋊D4311yescharacteristic
598C4⋊C4C2×C22⋊D4311yescharacteristic
599C4⋊C4C2×C22⋊D4312yes—
600C4⋊C4C2×C22⋊D4311yescharacteristic
601C4⋊C4C2×C22⋊D4311yescharacteristic
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—1721no—
609C42—22no—
610C42—22no—
611C42—21no—
612C42—21no—
613C42—22no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—21no—
618C42—21no—
619C42—1721no—
620C42C2×C22⋊D4311yescharacteristic
621C42C2×C22⋊D4311yescharacteristic
622C42C2×C22⋊D4311yescharacteristic
623C42C23×D4311yescharacteristic
624C23—21no—
625C23#1306329411yescharacteristic
626Q8—21no—
627Q8—21no—
628Q8—21no—
629Q8—21no—
630Q8—42no—
631Q8—42no—
632Q8—44no—
633Q8—41no—
634Q8—41no—
635Q8—82no—
636Q8—1722no—
637Q8—1721no—
638Q8—1721no—
639Q8C2×#1062188512yes—
640Q8#1306334512yes—
641D4—24no—
642D4—21no—
643D4C2×#1062188512yes—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—81no—
662C2×C4—81no—
663C2×C4—82no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4#1306329411yescharacteristic
667C2×C4#1306329411yescharacteristic
668C2×C4#1306329411yescharacteristic
669C2×C4C2×#1062188512yes—
670C2×C4#1306335612yes—
671C2×C4C22×C22⋊D4311yescharacteristic
672C2×C4C22×C22⋊D4311yescharacteristic
673C2×C4C22×C22⋊D4311yescharacteristic
674C8—862no—
675C8—1721no—
676C8—1721no—
677C8—1721no—
678C8—1721no—
679C8—1721no—
680C22—21no—
681C22—21no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22#1458305512yes—
686C22C2×#1306329411yescharacteristic
687C4—21no—
688C4—21no—
689C4—22no—
690C4—21no—
691C4—22no—
692C4—41no—
693C4—42no—
694C4—41no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—41no—
699C4—3441no—
700C4—3441no—
701C4#1458305512yes—
702C4C22×#1062188511yescharacteristic
703C4C2×#1306334511yescharacteristic
704C4C2×#1306335611yescharacteristic
705C4#1458369711yescharacteristic
706C2—22no—
707C2—42no—
708C2C2×#1458305511yescharacteristic
709C2#1914381311yescharacteristic
710C2#1914394411yescharacteristic
subgroupG/H
centerC2×C4#13063294
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingQ8×#41×C43C2
socleC22×C43C2×#120
prime radicalC2×#41×C43D4
hypercenterQ8×#41D43
hypocenterC43#18519
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ Q8×#41

Complements

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

NH ≅ G/Ntype
1. #19145177C2semidirect
2. #19144634C2semidirect
4. #19133844C2semidirect
5. #19133837C2semidirect
6. #19133816C2semidirect
7. #19133809C2semidirect
8. #19133760C2semidirect
9. #19133753C2semidirect
10. #19133735C2semidirect
11. #19133729C2semidirect
12. #19133252C2semidirect
14. C2×Q8⋊(C43⋊C8)C2semidirect
177. #41×C43Q16semidirect
426. C43#18519semidirect
533. #41#10621885semidirect

Maximal subgroups

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

subgroupindex
#191451772
#191446342
#191443832
#191338442
#191338372
#191338162
#191338092
#191337602
#191337532
#191337352
#191337292
#191332522
#191329772
C2×Q8⋊(C43⋊C8)2
Q8×#41×C432
#1851943