Finite Group Databasebeta

← #25103056

Subgroups — #25103056

Order 11008.

902 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19144050C211yesmaximal, characteristic
2C2×#14583018C211yesmaximal, characteristic, complemented
3C2×#14583013C211yesmaximal, characteristic, complemented
4#19143312C211yesmaximal, characteristic, complemented
5#19143023C211yesmaximal, characteristic, complemented
6#19135513C211yesmaximal, characteristic, complemented
7#19135368C211yesmaximal, characteristic, complemented
8#19135241C211yesmaximal, characteristic, complemented
9#19135241C211yesmaximal, characteristic, complemented
10#19134920C211yesmaximal, characteristic, complemented
11#19134920C211yesmaximal, characteristic, complemented
12#19134470C211yesmaximal, characteristic, complemented
13#19134436C211yesmaximal, characteristic, complemented
14#19134429C211yesmaximal, characteristic, complemented
15C43×#1806C211yesmaximal, characteristic, complemented
16C2×#13063345C2211yescharacteristic
17C2×#13063345C2211yescharacteristic
18C2×#13063333C2211yescharacteristic
19C2×#13063333C2211yescharacteristic
20C2×#13063332C2211yescharacteristic
21C2×#13063332C2211yescharacteristic
22#14583449C2211yescharacteristic
23#14583121C411yescharacteristic, complemented
24#14583121C411yescharacteristic, complemented
25#14583114C411yescharacteristic, complemented
26#14583114C411yescharacteristic, complemented
27#14583109C411yescharacteristic, complemented
28#14583104C411yescharacteristic, complemented
29#14583099C411yescharacteristic, complemented
30#14583094C411yescharacteristic, complemented
31#14583018—24no—
32#14583013—24no—
33#14582969—21no—
34#14582969—21no—
35#14582969—21no—
36#14582969—21no—
37C2×#13063260C2211yescharacteristic
38C2×#13063260C2211yescharacteristic
39C2×C4⋊(C43⋊C8)C2211yescharacteristic
40C2×#13063253C2211yescharacteristic
41C2×#13063253C2211yescharacteristic
42C2×#13063253C2211yescharacteristic
43C2×#13063253C2211yescharacteristic
44#14582893C2211yescharacteristic
45#14582893C2211yescharacteristic
46#14582867C2211yescharacteristic
47#14582867C2211yescharacteristic
48#14582855—21no—
49#14582855—21no—
50#14582855C2211yescharacteristic
51#14582855C2211yescharacteristic
52C4×#10621877—21no—
53C4×#10621877C2211yescharacteristic
54C2×#13063236—21no—
55C2×#13063236C2211yescharacteristic
56C2×#13063236C2211yescharacteristic
57C2×C4×C43⋊C8C2211yescharacteristic
58#14582663C2211yescharacteristic
59#14582663C2211yescharacteristic
60#14582654C2211yescharacteristic
61#14582654C2211yescharacteristic
62C4×#41×C43C2211yescharacteristic
63C43×#423C2211yescharacteristic
64C2×#104×C43C2211yescharacteristic
65C2×#104×C43C2211yescharacteristic
66C4×C4⋊C4×C43C2211yescharacteristic
67C43×#339C2211yescharacteristic
68C43×#339C2211yescharacteristic
69C2×#10621898C2311yescharacteristic
70C2×#10621898C2311yescharacteristic
71#13063345—22no—
72#13063345—22no—
73#13063345—22no—
74#13063345—22no—
75C2×#10621885C2×C411yescharacteristic
76C2×#10621885C2×C411yescharacteristic
77C2×#10621883C2×C411yescharacteristic
78C2×#10621883C2×C411yescharacteristic
79C2×#10621884C2×C411yescharacteristic
80C2×#10621884C2×C411yescharacteristic
81C2×#10621882C2×C411yescharacteristic
82C2×#10621882C2×C411yescharacteristic
83#13063333—22no—
84#13063333—22no—
85#13063333—22no—
86#13063333—22no—
87#13063332—22no—
88#13063332—22no—
89#13063332—22no—
90#13063332D414yescomplemented
91C2×#10621877—21no—
92C2×#10621877—21no—
93C2×#10621877C2311yescharacteristic
94C2×#10621877C2311yescharacteristic
95C2×#10621872—21no—
96C2×#10621872—21no—
97C22×C43⋊C8—21no—
98C22×C43⋊C8—21no—
99C22×C43⋊C8C2311yescharacteristic
100C22×C43⋊C8C2311yescharacteristic
101C22×C43⋊C8C2311yescharacteristic
102C22×C43⋊C8C2311yescharacteristic
103C2×C8×D43—21no—
104C2×C8×D43—21no—
105#13063325C2×C411yescharacteristic
106#13063322C2×C411yescharacteristic
107#13063313C2×C411yescharacteristic
108#13063313C2×C411yescharacteristic
109#13063299—21no—
110#13063299—21no—
111C4×D172—21no—
112C4×D172—21no—
113#13063260—22no—
114#13063260—22no—
115C4⋊(C43⋊C8)C2×C411yescharacteristic
116C4⋊(C43⋊C8)C2×C411yescharacteristic
117C4⋊(C43⋊C8)C2×C411yescharacteristic
118C4⋊(C43⋊C8)C2×C411yescharacteristic
119#13063253—22no—
120#13063253—22no—
121#13063253—22no—
122#13063253—22no—
123#13063248C2×C411yescharacteristic
124#13063248C2×C411yescharacteristic
125#13063248C2×C411yescharacteristic
126#13063248C2×C411yescharacteristic
127#13063245C2×C411yescharacteristic
128#13063245C2×C411yescharacteristic
129#13063245C2×C411yescharacteristic
130#13063245C2×C411yescharacteristic
131(C2×D43)⋊C8—21no—
132(C2×D43)⋊C8—21no—
133(C2×D43)⋊C8—21no—
134(C2×D43)⋊C8—21no—
135#13063236—21no—
136#13063236—21no—
137#13063236—21no—
138#13063236—22no—
139#13063236D411yescharacteristic
140#13063236D411yescharacteristic
141#13063236D411yescharacteristic
142#13063236D411yescharacteristic
143C4×C43⋊C8—21no—
144C4×C43⋊C8—22no—
145C4×C43⋊C8—21no—
146C4×C43⋊C8—21no—
147C2×#41×C43C2311yescharacteristic
148C2×M16×C43C2311yescharacteristic
149C2×M16×C43C2311yescharacteristic
150C4×Q8×C43C2×C411yescharacteristic
151C4×Q8×C43C2×C411yescharacteristic
152C4×D4×C43—21no—
153C4×D4×C43—21no—
154C4×D4×C43C2×C411yescharacteristic
155C4×D4×C43C2×C411yescharacteristic
156#117×C43—21no—
157#117×C43C2311yescharacteristic
158C2×C4⋊C4×C43—21no—
159C2×C42×C43—21no—
160C2×C42×C43C2311yescharacteristic
161C2×C42×C43C2311yescharacteristic
162C2×C42×C43C2311yescharacteristic
163C4⋊C8×C43—21no—
164C4⋊C8×C43—21no—
165#104×C43—22no—
166#104×C43—22no—
167#95×C43—21no—
168#41×C43—21no—
169#41×C43—21no—
170#41×C43C2×D412yes—
171#41×C43#4112yes—
172C2×Q8×C43C22×C411yescharacteristic
173C2×D4×C43—21no—
174C2×D4×C43C22×C411yescharacteristic
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43—21no—
179C22×C4×C43—21no—
180C22×C4×C43#4111yescharacteristic
181C22×C4×C43#4111yescharacteristic
182C22×C4×C43C2411yescharacteristic
183C2×C22⋊D43—21no—
184C2×C22⋊D43—21no—
185#10621898—21no—
186#10621898—21no—
187#10621898—21no—
188#10621898—21no—
189#10621898—21no—
190#10621898—21no—
191#10621898—21no—
192#10621898—21no—
193C2×D172—21no—
194C2×D172—21no—
195C2×D172C22×C411yescharacteristic
196C2×D172C22×C411yescharacteristic
197C2×C4×D43—21no—
198C2×C4×D43—21no—
199C2×Dic86C22×C411yescharacteristic
200C2×Dic86C22×C411yescharacteristic
201M16×C43—21no—
202M16×C43—21no—
203M16×C43—21no—
204M16×C43—21no—
205C2×C8×C43—21no—
206C2×C8×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—42no—
210C4⋊C4×C43C22×C411yescharacteristic
211C4⋊C4×C43C22×C411yescharacteristic
212C22⋊C4×C43—21no—
213C22⋊C4×C43—21no—
214C22⋊C4×C43—21no—
215C42×C43—21no—
216C42×C43—21no—
217C42×C43—21no—
218C42×C43—21no—
219C42×C43—21no—
220C42×C43—21no—
221C42×C43—21no—
222C42×C43C22×C411yescharacteristic
223C42×C43C22×C411yescharacteristic
224C42×C43C2×D411yescharacteristic
225C42×C43C2×D411yescharacteristic
226#10621885—22no—
227#10621885—22no—
228#10621884—22no—
229#10621884—22no—
230#10621883—22no—
231#10621883—22no—
232#10621882—22no—
233#10621882—22no—
234(C2×D43)⋊C4—21no—
235(C2×D43)⋊C4—21no—
236(C2×D43)⋊C4—21no—
237(C2×D43)⋊C4—21no—
238C4⋊Dic43—21no—
239C4⋊Dic43—21no—
240#10621877—24no—
241#10621877—21no—
242#10621877—21no—
243#10621877—24no—
244#10621877C2×D412yes—
245#10621877#4112yes—
246C2×C43⋊C8—24no—
247C2×C43⋊C8—21no—
248C2×C43⋊C8—21no—
249C2×C43⋊C8—21no—
250C2×C43⋊C8—21no—
251C2×C43⋊C8—21no—
252C2×C43⋊C8—21no—
253C2×C43⋊C8—21no—
254C2×C43⋊C8—21no—
255C2×C43⋊C8—24no—
256C2×C43⋊C8C22×C411yescharacteristic
257C2×C43⋊C8C22×C411yescharacteristic
258C2×C43⋊C8C22×C411yescharacteristic
259C2×C43⋊C8C22×C411yescharacteristic
260C2×C43⋊C8C2×D411yescharacteristic
261C2×C43⋊C8C2×D411yescharacteristic
262C2×C43⋊C8C2×D412yes—
263C2×C43⋊C8C2×D411yescharacteristic
264C2×C43⋊C8C2×D411yescharacteristic
265C2×C43⋊C8#4112yes—
266#10621872—42no—
267#10621872—42no—
268C8×D43—42no—
269C8×D43—42no—
270C23×C43—21no—
271C23×C43C2×#4111yescharacteristic
272C22×D43—21no—
273C22×D43—21no—
274Q8×C43—21no—
275Q8×C43C4×D412yes—
276D4×C43—22no—
277D4×C43—22no—
278D4×C43—21no—
279D4×C43C4×D412yes—
280C2×C4×C43—21no—
281C2×C4×C43—22no—
282C2×C4×C43—22no—
283C2×C4×C43—22no—
284C2×C4×C43—21no—
285C2×C4×C43—21no—
286C2×C4×C43—41no—
287C2×C4×C43—41no—
288C2×C4×C43—41no—
289C2×C4×C43—41no—
290C2×C4×C43—41no—
291C2×C4×C43—41no—
292C2×C4×C43—41no—
293C2×C4×C43—81no—
294C2×C4×C43—81no—
295C2×C4×C43C4×D411yescharacteristic
296C2×C4×C43C4×D411yescharacteristic
297C2×C4×C43C4×D411yescharacteristic
298C2×C4×C43C4×D411yescharacteristic
299C2×C4×C43C23×C411yescharacteristic
300C2×C4×C43C22×D411yescharacteristic
301C2×C4×C43C22×D411yescharacteristic
302C2×C4×C43C2×#4111yescharacteristic
303C2×C4×C43C2×#4111yescharacteristic
304C2×C4×C43C2×#4111yescharacteristic
305C22⋊D43—41no—
306C22⋊D43—41no—
307C22⋊D43—41no—
308C22⋊D43—41no—
309C2×Dic43—21no—
310C2×Dic43—21no—
311D172—21no—
312D172—21no—
313D172—21no—
314D172—21no—
315D172—81no—
316D172—81no—
317C4×D43—41no—
318C4×D43—41no—
319C4×D43—41no—
320C4×D43—41no—
321Dic86—21no—
322Dic86—21no—
323Dic86—21no—
324Dic86—21no—
325C8×C43—41no—
326C8×C43—41no—
327C43⋊C8—21no—
328C43⋊C8—21no—
329C43⋊C8—21no—
330C43⋊C8—21no—
331C43⋊C8—22no—
332C43⋊C8—21no—
333C43⋊C8—22no—
334C43⋊C8—21no—
335C43⋊C8#12112yes—
336C43⋊C8#12112yes—
337#21519—431nomaximal, Sylow
338C22×C43—21no—
339C22×C43—21no—
340C22×C43—22no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43C2×C4×D411yescharacteristic
344C22×C43#52911yescharacteristic
345C22×C43#53211yescharacteristic
346C2×D43—41no—
347C2×D43—41no—
348C2×D43—41no—
349C2×D43—41no—
350C2×D43—41no—
351C2×D43—41no—
352C4×C43—21no—
353C4×C43—21no—
354C4×C43—21no—
355C4×C43—21no—
356C4×C43—22no—
357C4×C43—42no—
358C4×C43—41no—
359C4×C43—41no—
360C4×C43—81no—
361C4×C43C2×C4×D411yescharacteristic
362C4×C43C4×#4111yescharacteristic
363C4×C43C2×#12111yescharacteristic
364C4×C43#52511yescharacteristic
365Dic43—41no—
366Dic43—41no—
367#3035—431no—
368C2×#444—431no—
369C2×#443—431no—
370#2932—431no—
371#2875—431no—
372#1980—431no—
373#1950—431no—
374#1929—431no—
375#1929—431no—
376#1876—431no—
377#1876—431no—
378#1806D4311yescharacteristic, complemented
379#1771—431no—
380#1765—431no—
381#1764—431no—
382C2×C43—21no—
383C2×C43—21no—
384C2×C43—42no—
385C2×C43C4×#12111yescharacteristic
386C2×C43#295611yescharacteristic
387C2×C43#295711yescharacteristic
388D43—81no—
389D43—81no—
390C2×#135—431no—
391C2×#135—431no—
392C2×#131—431no—
393C2×#131—431no—
394C2×#131—431no—
395C2×#131—431no—
396#532—431no—
397C4×#41C2×D4311yescharacteristic
398#464—431no—
399#464—431no—
400#463—431no—
401#463—431no—
402#462—431no—
403#461—431no—
404#460—431no—
405#459—431no—
406#444—864no—
407#443—864no—
408#435—861no—
409#435—861no—
410#435—861no—
411#435—861no—
412C2×#108—431no—
413C2×#108—431no—
414#423C2×D4311yescharacteristic
415C2×C4⋊C8—431no—
416C2×#104—431no—
417C2×#104—431no—
418C2×#104—431no—
419C2×#104—431no—
420C2×#104C2×D4311yescharacteristic
421C2×#104C2×D4311yescharacteristic
422#416—431no—
423#416—431no—
424#408—431no—
425#408—431no—
426#405—431no—
427#405—431no—
428#405—861no—
429#405—861no—
430C4×M16—431no—
431C4×M16—861no—
432C2×#97—431no—
433C2×#97—431no—
434C2×#97—861no—
435C2×C4×C8—431no—
436C4×C4⋊C4C2×D4311yescharacteristic
437#341—431no—
438#341—431no—
439#339C2×D4311yescharacteristic
440#339C2×D4311yescharacteristic
441#336—431no—
442#336—431no—
443C43#2151911yescharacteristic, complemented, Sylow
444C2×#41—431no—
445C2×#41—431no—
446C2×#41C22×D4311yescharacteristic
447#135—862no—
448#135—862no—
449#135—862no—
450#135—862no—
451C2×Q16—431no—
452C2×Q16—431no—
453C2×SD16—431no—
454C2×SD16—431no—
455C2×SD16—431no—
456C2×SD16—431no—
457C2×D8—431no—
458C2×D8—431no—
459#131—434no—
460#131—862no—
461#131—862no—
462#131—862no—
463#131—862no—
464#131—862no—
465#131—862no—
466#131—862no—
467C2×M16—431no—
468C2×M16—431no—
469C2×M16—861no—
470C2×M16—861no—
471C2×M16—861no—
472C2×M16—861no—
473C2×M16C22×D4311yescharacteristic
474C2×M16C22×D4311yescharacteristic
475C22×C8—431no—
476C22×C8—431no—
477C22×C8—431no—
478C22×C8—431no—
479C22×C8—861no—
480C22×C8—861no—
481C22×C8—861no—
482C22×C8—861no—
483C4⋊Q8—431no—
484#127—431no—
485#124—431no—
486#124—431no—
487#121—861no—
488#121—861no—
489C4×Q8C4×D4311yescharacteristic
490C4×Q8C4×D4311yescharacteristic
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—861no—
494C4×D4—861no—
495C4×D4C4×D4311yescharacteristic
496C4×D4C4×D4311yescharacteristic
497#117—21no—
498#117C22×D4311yescharacteristic
499C2×C4⋊C4—21no—
500C2×C42—21no—
501C2×C42C22×D4311yescharacteristic
502C2×C42C22×D4311yescharacteristic
503C2×C42C22×D4311yescharacteristic
504#108—862no—
505#108—862no—
506C4⋊C8—21no—
507C4⋊C8—21no—
508C4⋊C8—431no—
509C4⋊C8—431no—
510C4⋊C8—431no—
511C4⋊C8—431no—
512#104—22no—
513#104—22no—
514#104—862no—
515#104—862no—
516#104—862no—
517#104—862no—
518#103—431no—
519#103—431no—
520#103—431no—
521#103—431no—
522#102—431no—
523#102—431no—
524#102—431no—
525#102—431no—
526C22⋊C8—861no—
527C22⋊C8—861no—
528C22⋊C8—861no—
529C22⋊C8—861no—
530#97—431no—
531#97—431no—
532#97—431no—
533#97—431no—
534#97—862no—
535#97—861no—
536#97—861no—
537#97—861no—
538C4×C8—862no—
539C4×C8—861no—
540C4×C8—861no—
541C4×C8—861no—
542#95—21no—
543#41—21no—
544#41—21no—
545#41—861no—
546#41—861no—
547#41—861no—
548#41—861no—
549#41—861no—
550#41—861no—
551#41—861no—
552#41—861no—
553#41D4×D4312yes—
554#41#1062190212yes—
555C2×Q8—431no—
556C2×Q8—431no—
557C2×Q8C2×C4×D4311yescharacteristic
558C2×D4—21no—
559C2×D4—431no—
560C2×D4—431no—
561C2×D4—861no—
562C2×D4—861no—
563C2×D4—861no—
564C2×D4—861no—
565C2×D4C2×C4×D4311yescharacteristic
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—861no—
572C22×C4—861no—
573C22×C4#1062190011yescharacteristic
574C22×C4#1062190011yescharacteristic
575C22×C4C23×D4311yescharacteristic
576Q16—862no—
577Q16—862no—
578SD16—862no—
579SD16—862no—
580SD16—862no—
581SD16—862no—
582D8—862no—
583D8—862no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—432no—
589M16—432no—
590M16—864no—
591M16—864no—
592M16—861no—
593M16—861no—
594M16—1722no—
595M16—1722no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—432no—
599C2×C8—431no—
600C2×C8—431no—
601C2×C8—432no—
602C2×C8—431no—
603C2×C8—431no—
604C2×C8—431no—
605C2×C8—431no—
606C2×C8—431no—
607C2×C8—431no—
608C2×C8—864no—
609C2×C8—864no—
610C2×C8—861no—
611C2×C8—861no—
612C2×C8—861no—
613C2×C8—861no—
614C2×C8—861no—
615C2×C8—861no—
616C2×C8—861no—
617C2×C8—861no—
618C2×C8—1722no—
619C2×C8—1722no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—42no—
623C4⋊C4—861no—
624C4⋊C4—861no—
625C4⋊C4C2×C4×D4311yescharacteristic
626C4⋊C4C2×C4×D4311yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—861no—
631C22⋊C4—861no—
632C22⋊C4—861no—
633C22⋊C4—861no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—21no—
638C42—21no—
639C42—21no—
640C42—21no—
641C42C2×C4×D4311yescharacteristic
642C42C2×C4×D4311yescharacteristic
643C42D4×D4311yescharacteristic
644C42D4×D4311yescharacteristic
645C23—21no—
646C23—861no—
647C23—861no—
648C23C2×#1062190011yescharacteristic
649Q8—21no—
650Q8—861no—
651Q8—861no—
652Q8—861no—
653Q8—861no—
654Q8#1306328712yes—
655D4—22no—
656D4—22no—
657D4—21no—
658D4—861no—
659D4—861no—
660D4—861no—
661D4—861no—
662D4—3441no—
663D4—3441no—
664D4—1721no—
665D4—1721no—
666D4—1721no—
667D4—1721no—
668D4#1306328712yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—861no—
685C2×C4—861no—
686C2×C4—1721no—
687C2×C4—1721no—
688C2×C4—1721no—
689C2×C4—1721no—
690C2×C4(C22⋊D43)⋊C411yescharacteristic
691C2×C4(C22⋊D43)⋊C411yescharacteristic
692C2×C4(C22⋊D43)⋊C411yescharacteristic
693C2×C4(C22⋊D43)⋊C411yescharacteristic
694C2×C4C22×C4×D4311yescharacteristic
695C2×C4C2×D4×D4311yescharacteristic
696C2×C4C2×D4×D4311yescharacteristic
697C2×C4#41×D4311yescharacteristic
698C2×C4#41×D4311yescharacteristic
699C2×C4C2×#1062190211yescharacteristic
700C8—41no—
701C8—41no—
702C8—432no—
703C8—432no—
704C8—861no—
705C8—861no—
706C8—861no—
707C8—861no—
708C8—862no—
709C8—861no—
710C8—861no—
711C8—862no—
712C22—21no—
713C22—21no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—1721no—
718C22—1721no—
719C22—1721no—
720C22—1721no—
721C22—1721no—
722C22—1721no—
723C22C2×(C22⋊D43)⋊C411yescharacteristic
724C22#1458343511yescharacteristic
725C22#1458344411yescharacteristic
726C4—22no—
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—41no—
733C4—41no—
734C4—81no—
735C4—1721no—
736C4—1721no—
737C4C2×#1306328711yescharacteristic
738C4#1458336711yescharacteristic
739C4#121×D4311yescharacteristic
740C4#1458341211yescharacteristic
741C2—21no—
742C2—21no—
743C2—42no—
744C2—3441no—
745C2—3441no—
746C2#1913710111yescharacteristic
747C2#1914350111yescharacteristic
748C2#1914350811yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1806C2
socleC22×C43C2×C4×D4
prime radical#19144050C2
cosocleC22×C4×C43C24
hypercenter#1806D43
hypocenterC43#21519
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
2. C2×#14583018C2semidirect
3. C2×#14583013C2semidirect
4. #19143312C2semidirect
5. #19143023C2semidirect
6. #19135513C2semidirect
7. #19135368C2semidirect
8. #19135241C2semidirect
9. #19135241C2semidirect
10. #19134920C2semidirect
11. #19134920C2semidirect
12. #19134470C2semidirect
13. #19134436C2semidirect
14. #19134429C2semidirect
15. C43×#1806C2semidirect
23. #14583121C4semidirect
24. #14583121C4semidirect
25. #14583114C4semidirect
26. #14583114C4semidirect
27. #14583109C4semidirect
28. #14583104C4semidirect
29. #14583099C4semidirect
30. #14583094C4semidirect
90. #13063332D4semidirect
378. #1806D43semidirect
443. C43#21519semidirect

Maximal subgroups

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

subgroupindex
#191440502
C2×#145830182
C2×#145830132
#191433122
#191430232
#191355132
#191353682
#191352412
#191349202
#191344702
#191344362
#191344292
C43×#18062
#2151943