Finite Group Databasebeta

← #25103040

Subgroups — #25103040

Order 11008.

922 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#19144048C211yesmaximal, characteristic
2C2×#14583015C211yesmaximal, characteristic, complemented
3C2×#14583013C211yesmaximal, characteristic, complemented
4#19143303C211yesmaximal, characteristic, complemented
5#19143017C211yesmaximal, characteristic, complemented
6#19135512C211yesmaximal, characteristic, complemented
7#19135367C211yesmaximal, characteristic, complemented
8#19135243C211yesmaximal, characteristic, complemented
9#19134925C211yesmaximal, characteristic, complemented
10#19134921C211yesmaximal, characteristic, complemented
11#19134614C211yesmaximal, characteristic, complemented
12#19134456C211yesmaximal, characteristic, complemented
13#19134435C211yesmaximal, characteristic, complemented
14#19134429C211yesmaximal, characteristic, complemented
15C43×#1929C211yesmaximal, characteristic, complemented
16C2×#13063347C2211yescharacteristic
17C2×#13063345C2211yescharacteristic
18C2×#13063333C2211yescharacteristic
19C2×#13063333C2211yescharacteristic
20C2×#13063332C2211yescharacteristic
21C2×#13063331C2211yescharacteristic
22#14583445C2211yescharacteristic
23#14583367C2211yescharacteristic
24#14583124C411yescharacteristic, complemented
25#14583120C411yescharacteristic, complemented
26#14583117C411yescharacteristic, complemented
27#14583113C411yescharacteristic, complemented
28#14583108C411yescharacteristic, complemented
29#14583103C411yescharacteristic, complemented
30#14583098C411yescharacteristic, complemented
31#14583093C411yescharacteristic, complemented
32#14583015—24no—
33#14583013—24no—
34#14582974—21no—
35#14582974—21no—
36(C22⋊D43)⋊C8—21no—
37(C22⋊D43)⋊C8—21no—
38C2×#13063260C2211yescharacteristic
39#14582922C2211yescharacteristic
40C2×Dic43⋊C8C2211yescharacteristic
41C2×#13063253C2211yescharacteristic
42C2×#13063253C2211yescharacteristic
43C2×#13063252C2211yescharacteristic
44C2×#13063251C2211yescharacteristic
45C2×#13063251C2211yescharacteristic
46#14582893C2211yescharacteristic
47#14582865C2211yescharacteristic
48#14582856—21no—
49#14582855C2211yescharacteristic
50#14582853—21no—
51#14582851—21no—
52M16×Dic43C2211yescharacteristic
53C2×C4×C43⋊C8C2211yescharacteristic
54C2×C8×Dic43C2211yescharacteristic
55C2×C8×Dic43C2211yescharacteristic
56C4×C8×D43—21no—
57C4×Dic43⋊C4C2211yescharacteristic
58#14582664C2211yescharacteristic
59#14582663C2211yescharacteristic
60#14582658C2211yescharacteristic
61#14582653C2211yescharacteristic
62C2×#108×C43C2211yescharacteristic
63C2×#104×C43C2211yescharacteristic
64C43×#416C2211yescharacteristic
65C43×#408C2211yescharacteristic
66C43×#405C2211yescharacteristic
67C43×#339C2211yescharacteristic
68C43×#336C2211yescharacteristic
69C2×#10621898C2311yescharacteristic
70C2×#10621898C2311yescharacteristic
71#13063347—22no—
72#13063347—22no—
73#13063345—22no—
74#13063345—22no—
75C2×Dic172C2×C411yescharacteristic
76C2×#10621885C2×C411yescharacteristic
77C2×#10621873C2×C411yescharacteristic
78C2×#10621873C2×C411yescharacteristic
79C2×#10621883C2×C411yescharacteristic
80C2×#10621884C2×C411yescharacteristic
81C2×D344C2×C411yescharacteristic
82C2×#10621882C2×C411yescharacteristic
83#13063333—22no—
84#13063333—22no—
85#13063333—22no—
86#13063333D414yescomplemented
87#13063332—22no—
88#13063332—22no—
89#13063331—22no—
90#13063331—22no—
91C2×#10621877—21no—
92C2×#10621877C2311yescharacteristic
93C2×#10621877C2311yescharacteristic
94C2×#10621872—21no—
95C2×#10621872—21no—
96C2×#10621872—21no—
97C22×C43⋊C8—21no—
98C22×C43⋊C8C2311yescharacteristic
99C22×C43⋊C8C2311yescharacteristic
100C2×C8×D43—21no—
101C2×C8×D43—21no—
102C2×C8×D43—21no—
103#13063323C2×C411yescharacteristic
104#13063321C2×C411yescharacteristic
105#13063314C2×C411yescharacteristic
106#13063312C2×C411yescharacteristic
107#13063297—21no—
108#13063297—21no—
109#13063290C2×C411yescharacteristic
110#13063290C2×C411yescharacteristic
111#13063287C2×C411yescharacteristic
112#13063287C2×C411yescharacteristic
113C4×C22⋊D43—21no—
114C4×C22⋊D43—21no—
115(C22⋊D43)⋊C4—21no—
116(C22⋊D43)⋊C4—21no—
117#13063282—21no—
118C2×Dic43⋊C4—21no—
119C2×C4×Dic43C2311yescharacteristic
120C2×C4×Dic43C2311yescharacteristic
121C42×D43—21no—
122#13063260—22no—
123Dic43⋊C8—21no—
124Dic43⋊C8—21no—
125Dic43⋊C8C2×C411yescharacteristic
126Dic43⋊C8C2×C411yescharacteristic
127Dic43⋊C8C2×C411yescharacteristic
128Dic43⋊C8C2×C411yescharacteristic
129#13063253—22no—
130#13063253—22no—
131#13063252—22no—
132#13063251—22no—
133#13063251—22no—
134#13063248C2×C411yescharacteristic
135#13063248C2×C411yescharacteristic
136#13063245C2×C411yescharacteristic
137#13063245C2×C411yescharacteristic
138(C2×D43)⋊C8—21no—
139(C2×D43)⋊C8—21no—
140#13063236—21no—
141#13063235—21no—
142C4×C43⋊C8—21no—
143C4×C43⋊C8—22no—
144C8×Dic43—21no—
145C8×Dic43—22no—
146C8×Dic43D411yescharacteristic
147C8×Dic43D411yescharacteristic
148C8×Dic43D411yescharacteristic
149C8×Dic43D411yescharacteristic
150C43⋊#95—21no—
151C2×#41×C43C2311yescharacteristic
152C2×M16×C43C2311yescharacteristic
153C2×M16×C43C2311yescharacteristic
154C22×C8×C43C2311yescharacteristic
155C22×C8×C43C2311yescharacteristic
156#117×C43C2311yescharacteristic
157C2×C42×C43C2311yescharacteristic
158#108×C43—22no—
159#104×C43—22no—
160#103×C43C2×C411yescharacteristic
161#103×C43C2×C411yescharacteristic
162#102×C43C2×C411yescharacteristic
163#102×C43C2×C411yescharacteristic
164C22⋊C8×C43—21no—
165C22⋊C8×C43—21no—
166#97×C43—21no—
167C4×C8×C43—21no—
168#41×C43—21no—
169#41×C43—21no—
170#41×C43—21no—
171#41×C43—21no—
172C2×Q8×C43C22×C411yescharacteristic
173C2×D4×C43—21no—
174C2×D4×C43C22×C411yescharacteristic
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43C2411yescharacteristic
178C2×C22⋊D43—21no—
179C2×C22⋊D43—21no—
180C2×C22⋊D43—21no—
181C2×C22⋊D43—21no—
182C22×Dic43—21no—
183C22×Dic43#4111yescharacteristic
184C22×Dic43#4111yescharacteristic
185#10621898—21no—
186#10621898—21no—
187#10621898—21no—
188#10621898—21no—
189#10621898—21no—
190#10621898—21no—
191#10621898C2×D412yes—
192#10621898#4112yes—
193C2×D172C22×C411yescharacteristic
194C2×D172C22×C411yescharacteristic
195C2×C4×D43—21no—
196C2×C4×D43—21no—
197C2×C4×D43—21no—
198C2×C4×D43—21no—
199C2×Dic86C22×C411yescharacteristic
200C2×Dic86C22×C411yescharacteristic
201M16×C43—21no—
202M16×C43—21no—
203M16×C43—21no—
204M16×C43C2×D412yes—
205C2×C8×C43—21no—
206C2×C8×C43—21no—
207C2×C8×C43—21no—
208C2×C8×C43—21no—
209C2×C8×C43—21no—
210C2×C8×C43—21no—
211C2×C8×C43C22×C411yescharacteristic
212C2×C8×C43C22×C411yescharacteristic
213C2×C8×C43C2×D411yescharacteristic
214C2×C8×C43C2×D411yescharacteristic
215C4⋊C4×C43C22×C411yescharacteristic
216C4⋊C4×C43C22×C411yescharacteristic
217C22⋊C4×C43—21no—
218C42×C43—21no—
219C42×C43—21no—
220C42×C43—21no—
221C22⋊Dic43—21no—
222C22⋊Dic43—21no—
223#10621885—22no—
224#10621884—22no—
225#10621883—22no—
226#10621882—22no—
227(C2×D43)⋊C4—21no—
228(C2×D43)⋊C4—21no—
229(C2×D43)⋊C4—21no—
230(C2×D43)⋊C4—21no—
231Dic43⋊C4—24no—
232Dic43⋊C4—21no—
233Dic43⋊C4—21no—
234Dic43⋊C4—21no—
235Dic43⋊C4—21no—
236C4×Dic43—21no—
237C4×Dic43—21no—
238C4×Dic43—21no—
239C4×Dic43—21no—
240C4×Dic43C22×C411yescharacteristic
241C4×Dic43C22×C411yescharacteristic
242C4×Dic43C2×D411yescharacteristic
243C4×Dic43C2×D411yescharacteristic
244#10621877—21no—
245#10621877—21no—
246#10621877—21no—
247#10621877—42no—
248#10621877#4112yes—
249C2×C43⋊C8—21no—
250C2×C43⋊C8—21no—
251C2×C43⋊C8—21no—
252C2×C43⋊C8—21no—
253C2×C43⋊C8—42no—
254C2×C43⋊C8C22×C411yescharacteristic
255C2×C43⋊C8C22×C411yescharacteristic
256C2×C43⋊C8C2×D412yes—
257C2×C43⋊C8C2×D411yescharacteristic
258C2×C43⋊C8C2×D411yescharacteristic
259C2×C43⋊C8#4112yes—
260Dic172—22no—
261D344—22no—
262#10621873—22no—
263#10621873—22no—
264#10621872—24no—
265#10621872—24no—
266#10621872—42no—
267C8×D43—24no—
268C8×D43—24no—
269C8×D43—42no—
270C23×C43—21no—
271C23×C43C2×#4111yescharacteristic
272C22×D43—21no—
273C22×D43—21no—
274Q8×C43—21no—
275Q8×C43—21no—
276D4×C43—21no—
277D4×C43—21no—
278D4×C43—41no—
279D4×C43—41no—
280C2×C4×C43—22no—
281C2×C4×C43—21no—
282C2×C4×C43—21no—
283C2×C4×C43—21no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43—41no—
287C2×C4×C43—41no—
288C2×C4×C43C23×C411yescharacteristic
289C2×C4×C43C22×D411yescharacteristic
290C2×C4×C43C22×D411yescharacteristic
291C2×C4×C43C2×#4111yescharacteristic
292C2×C4×C43C2×#4111yescharacteristic
293C2×C4×C43C2×#4111yescharacteristic
294C22⋊D43—22no—
295C22⋊D43—22no—
296C22⋊D43—42no—
297C22⋊D43—41no—
298C22⋊D43—41no—
299C22⋊D43—42no—
300C2×Dic43—21no—
301C2×Dic43—22no—
302C2×Dic43—22no—
303C2×Dic43—21no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43C4×D411yescharacteristic
308C2×Dic43C4×D411yescharacteristic
309C2×Dic43C4×D411yescharacteristic
310C2×Dic43C4×D411yescharacteristic
311D172—21no—
312D172—21no—
313D172—21no—
314D172C4×D412yes—
315C4×D43—22no—
316C4×D43—22no—
317C4×D43—42no—
318C4×D43—41no—
319C4×D43—41no—
320C4×D43—42no—
321Dic86—21no—
322Dic86—21no—
323Dic86—21no—
324Dic86C4×D412yes—
325C8×C43—21no—
326C8×C43—21no—
327C8×C43—22no—
328C8×C43—21no—
329C8×C43—21no—
330C8×C43—41no—
331C43⋊C8—21no—
332C43⋊C8—21no—
333C43⋊C8—22no—
334C43⋊C8—41no—
335C43⋊C8#12112yes—
336C43⋊C8#12112yes—
337#21517—431nomaximal, Sylow
338C22×C43—21no—
339C22×C43—21no—
340C22×C43—41no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43C2×C4×D411yescharacteristic
344C22×C43#52911yescharacteristic
345C22×C43#53211yescharacteristic
346C2×D43—22no—
347C2×D43—41no—
348C2×D43—41no—
349C2×D43—41no—
350C2×D43—41no—
351C2×D43—41no—
352C4×C43—42no—
353C4×C43—41no—
354C4×C43—41no—
355C4×C43—41no—
356C4×C43C2×C4×D411yescharacteristic
357C4×C43C4×#4111yescharacteristic
358C4×C43C2×#12111yescharacteristic
359C4×C43#52511yescharacteristic
360Dic43—21no—
361Dic43—21no—
362Dic43—21no—
363Dic43—22no—
364Dic43—42no—
365Dic43—41no—
366Dic43#44312yescomplemented
367#3035—431no—
368C2×#443—431no—
369C2×#443—431no—
370#2931—431no—
371C4×#131—431no—
372#1980—431no—
373#1950—431no—
374#1929—431no—
375#1929D4311yescharacteristic, complemented
376#1876—431no—
377#1876—431no—
378#1806—431no—
379C8×C4⋊C4—431no—
380#1764—431no—
381#1764—431no—
382C2×C43—21no—
383C2×C43—21no—
384C2×C43—81no—
385C2×C43C4×#12111yescharacteristic
386C2×C43C2×#44311yescharacteristic
387C2×C43#295511yescharacteristic
388D43—42no—
389D43—81no—
390C2×#135—431no—
391C2×#135—431no—
392C2×#131—431no—
393C2×#131—431no—
394C2×#131—431no—
395C2×#131—431no—
396#532—431no—
397C4×#41—431no—
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#443—864no—
407#443—864no—
408#436—861no—
409#436—861no—
410C8×D4—861no—
411C8×D4—861no—
412C2×#108—431no—
413C2×#108C2×D4311yescharacteristic
414#423—431no—
415C2×C4⋊C8—431no—
416C2×#104—431no—
417C2×#104—431no—
418C2×#104—431no—
419C2×#104—431no—
420C2×#104—431no—
421C2×#104C2×D4311yescharacteristic
422#416—431no—
423#416C2×D4311yescharacteristic
424#408—431no—
425#408C2×D4311yescharacteristic
426#405—431no—
427#405—861no—
428#405—861no—
429#405C2×D4311yescharacteristic
430C4×M16—431no—
431C4×M16—861no—
432C2×C4×C8—431no—
433C2×C4×C8—431no—
434C2×C4×C8—431no—
435C2×C4×C8—861no—
436C4×C4⋊C4—431no—
437#341—431no—
438#341—431no—
439#339—431no—
440#339C2×D4311yescharacteristic
441#336—431no—
442#336C2×D4311yescharacteristic
443C43#2151711yescharacteristic, 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—861no—
478C22×C8—861no—
479C22×C8—861no—
480C22×C8—861no—
481C22×C8C22×D4311yescharacteristic
482C22×C8C22×D4311yescharacteristic
483C4⋊Q8—431no—
484#127—431no—
485#124—431no—
486#124—431no—
487#121—861no—
488#121—861no—
489C4×Q8—431no—
490C4×Q8—431no—
491C4×D4—431no—
492C4×D4—431no—
493C4×D4—861no—
494C4×D4—861no—
495C4×D4—861no—
496C4×D4—861no—
497#117—861no—
498#117C22×D4311yescharacteristic
499C2×C4⋊C4—861no—
500C2×C42—431no—
501C2×C42—431no—
502C2×C42—861no—
503C2×C42C22×D4311yescharacteristic
504#108—22no—
505#108—862no—
506C4⋊C8—431no—
507C4⋊C8—431no—
508C4⋊C8—431no—
509C4⋊C8—431no—
510C4⋊C8—861no—
511C4⋊C8—861no—
512#104—22no—
513#104—862no—
514#104—862no—
515#104—862no—
516#104—862no—
517#104—862no—
518#103—431no—
519#103—431no—
520#103C4×D4311yescharacteristic
521#103C4×D4311yescharacteristic
522#102—431no—
523#102—431no—
524#102C4×D4311yescharacteristic
525#102C4×D4311yescharacteristic
526C22⋊C8—21no—
527C22⋊C8—21no—
528C22⋊C8—861no—
529C22⋊C8—861no—
530#97—21no—
531#97—861no—
532#97—861no—
533C4×C8—21no—
534C4×C8—431no—
535C4×C8—431no—
536C4×C8—431no—
537C4×C8—431no—
538C4×C8—862no—
539C4×C8—861no—
540C4×C8—861no—
541C4×C8—862no—
542#95—861no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—432no—
548#41—432no—
549#41—861no—
550#41—861no—
551#41—861no—
552#41—861no—
553#41—861no—
554#41—861no—
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—431no—
569C22×C4—431no—
570C22×C4—861no—
571C22×C4—861no—
572C22×C4—861no—
573C22×C4—861no—
574C22×C4—861no—
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—432no—
588M16—864no—
589M16—864no—
590M16—861no—
591M16—861no—
592M16—861no—
593M16—1722no—
594M16—1722no—
595M16D4×D4312yes—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—432no—
603C2×C8—431no—
604C2×C8—431no—
605C2×C8—432no—
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—1722no—
615C2×C8—1722no—
616C2×C8C2×C4×D4311yescharacteristic
617C2×C8C2×C4×D4311yescharacteristic
618C2×C8D4×D4311yescharacteristic
619C2×C8D4×D4311yescharacteristic
620C4⋊C4—861no—
621C4⋊C4—861no—
622C4⋊C4—861no—
623C4⋊C4—861no—
624C4⋊C4—864no—
625C4⋊C4C2×C4×D4311yescharacteristic
626C4⋊C4C2×C4×D4311yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—861no—
629C22⋊C4—861no—
630C22⋊C4—861no—
631C22⋊C4—861no—
632C22⋊C4—861no—
633C22⋊C4—861no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—431no—
638C42—431no—
639C42—431no—
640C42—431no—
641C42—861no—
642C42—861no—
643C42—861no—
644C42—861no—
645C23—21no—
646C23—861no—
647C23—861no—
648C23#41×D4311yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—432no—
652Q8—861no—
653Q8—861no—
654Q8—861no—
655D4—21no—
656D4—21no—
657D4—41no—
658D4—41no—
659D4—432no—
660D4—862no—
661D4—862no—
662D4—861no—
663D4—861no—
664D4—861no—
665D4—1722no—
666D4—1722no—
667D4—1721no—
668D4—1721no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—431no—
678C2×C4—431no—
679C2×C4—431no—
680C2×C4—431no—
681C2×C4—862no—
682C2×C4—861no—
683C2×C4—862no—
684C2×C4—862no—
685C2×C4—862no—
686C2×C4—861no—
687C2×C4—1722no—
688C2×C4—1722no—
689C2×C4—1721no—
690C2×C4—1721no—
691C2×C4—1721no—
692C2×C4—1721no—
693C2×C4—1721no—
694C2×C4C22×C4×D4311yescharacteristic
695C2×C4C2×D4×D4311yescharacteristic
696C2×C4C2×D4×D4311yescharacteristic
697C2×C4#41×D4311yescharacteristic
698C2×C4#41×D4311yescharacteristic
699C2×C4#41×D4311yescharacteristic
700C8—21no—
701C8—21no—
702C8—22no—
703C8—21no—
704C8—21no—
705C8—41no—
706C8—432no—
707C8—432no—
708C8—861no—
709C8—861no—
710C8—862no—
711C8—1721no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—862no—
718C22—1721no—
719C22—1721no—
720C22—1721no—
721C22—1721no—
722C22—1721no—
723C22C4×D4×D4311yescharacteristic
724C22#1458343211yescharacteristic
725C22#1458344811yescharacteristic
726C4—42no—
727C4—41no—
728C4—41no—
729C4—41no—
730C4—432no—
731C4—861no—
732C4—861no—
733C4—861no—
734C4—862no—
735C4—1722no—
736C4—1721no—
737C4C4×D4×D4311yescharacteristic
738C4#1458336711yescharacteristic
739C4#121×D4311yescharacteristic
740C4#1458340711yescharacteristic
741C2—21no—
742C2—21no—
743C2—81no—
744C2—3441no—
745C2—1722no—
746C2#1913710711yescharacteristic
747C2#443×D4311yescharacteristic
748C2#1914349511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1929C2
socleC22×C43C2×C4×D4
prime radical#19144048C2
cosocleC22×C4×C43C24
hypercenter#1929D43
hypocenterC43#21517
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1929

Complements

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

NH ≅ G/Ntype
2. C2×#14583015C2semidirect
3. C2×#14583013C2semidirect
4. #19143303C2semidirect
5. #19143017C2semidirect
6. #19135512C2semidirect
7. #19135367C2semidirect
8. #19135243C2semidirect
9. #19134925C2semidirect
10. #19134921C2semidirect
11. #19134614C2semidirect
12. #19134456C2semidirect
13. #19134435C2semidirect
14. #19134429C2semidirect
15. C43×#1929C2semidirect
24. #14583124C4semidirect
25. #14583120C4semidirect
26. #14583117C4semidirect
27. #14583113C4semidirect
28. #14583108C4semidirect
29. #14583103C4semidirect
30. #14583098C4semidirect
31. #14583093C4semidirect
86. #13063333D4semidirect
366. Dic43#443semidirect
375. #1929D43semidirect
443. C43#21517semidirect

Maximal subgroups

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

subgroupindex
#191440482
C2×#145830152
C2×#145830132
#191433032
#191430172
#191355122
#191353672
#191352432
#191349252
#191349212
#191346142
#191344562
#191344352
#191344292
C43×#19292
#2151743