Finite Group Databasebeta

← #25103997

Subgroups — #25103997

Order 11008.

768 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19143299C211yesmaximal, characteristic
2#19143014C211yesmaximal, characteristic, complemented
3#19135245C211yesmaximal, characteristic, complemented
4#19135245C211yesmaximal, characteristic, complemented
5#19135196C211yesmaximal, characteristic, complemented
6#19135196C211yesmaximal, characteristic, complemented
7#19134898C211yesmaximal, characteristic
8#19134802C211yesmaximal, characteristic, complemented
9#19134694C211yesmaximal, characteristic, complemented
10#19134481C211yesmaximal, characteristic, complemented
11#19134476C211yesmaximal, characteristic, complemented
12#19134442C211yesmaximal, characteristic, complemented
13#19134435C211yesmaximal, characteristic, complemented
14#19134381C211yesmaximal, characteristic, complemented
15C43×#3091C211yesmaximal, characteristic
16C2×#13063332C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18C22×#10621877C2211yescharacteristic
19#14582977—21no—
20#14582977—21no—
21#14582971—21no—
22#14582971—21no—
23C2×#13063261C2211yescharacteristic
24C2×#13063261C2211yescharacteristic
25#14582926C2211yescharacteristic
26C2×#13063252C2211yescharacteristic
27C2×#13063252C2211yescharacteristic
28#14582866C2211yescharacteristic
29#14582863C2211yescharacteristic
30#14582855—21no—
31#14582855—21no—
32#14582855C2211yescharacteristic
33#14582855C2211yescharacteristic
34#14582855C2211yescharacteristic
35#14582855C2211yescharacteristic
36#14582855C2211yescharacteristic
37C4×#10621877—21no—
38C4×#10621877—21no—
39C2×#13063235C2211yescharacteristic
40C2×C8×Dic43C2211yescharacteristic
41C4×C22⋊Dic43C2211yescharacteristic
42#14582664C2211yescharacteristic
43#14582664C2211yescharacteristic
44#14582658C2211yescharacteristic
45#14582658C2211yescharacteristic
46#14582658C2211yescharacteristic
47#14582658C2211yescharacteristic
48#14582658C2211yescharacteristic
49#14582658C2211yescharacteristic
50#14582653C2211yescharacteristic
51#14582653C2211yescharacteristic
52C43×#525C2211yescharacteristic
53C2×#117×C43C2211yescharacteristic
54C43×#485C411yescharacteristic, complemented
55C43×#485C411yescharacteristic, complemented
56C43×#484C411yescharacteristic, complemented
57C43×#483C411yescharacteristic, complemented
58C43×#482C411yescharacteristic, complemented
59C43×#482C411yescharacteristic, complemented
60C43×#481C411yescharacteristic, complemented
61C43×#480C411yescharacteristic, complemented
62C43×#427C2211yescharacteristic
63C43×#427C2211yescharacteristic
64C43×#416C2211yescharacteristic
65C43×#416C2211yescharacteristic
66C2×C22⋊C8×C43C2211yescharacteristic
67#13063332—22no—
68#13063332—22no—
69C2×#10621877—21no—
70C2×#10621877—22no—
71C2×#10621877—22no—
72C2×#10621877—21no—
73C2×#10621877—22no—
74C2×#10621877—22no—
75C2×#10621877D411yescharacteristic
76C2×#10621877D411yescharacteristic
77C2×#10621877D411yescharacteristic
78C2×#10621877D411yescharacteristic
79C2×#10621877C2311yescharacteristic
80C2×#10621877C2311yescharacteristic
81C2×#10621877C2311yescharacteristic
82C2×#10621877C2311yescharacteristic
83C22×C43⋊C8—21no—
84C22×C43⋊C8—21no—
85C22×C43⋊C8C2311yescharacteristic
86C22×C43⋊C8C2311yescharacteristic
87C2×C22⋊Dic43—21no—
88C2×C4×Dic43C2311yescharacteristic
89C2×C4×Dic43C2311yescharacteristic
90#13063261—22no—
91#13063261—22no—
92C4⋊(C43⋊C8)—21no—
93C4⋊(C43⋊C8)—21no—
94#13063252—22no—
95#13063252—22no—
96C22⋊(C43⋊C8)—21no—
97C22⋊(C43⋊C8)—21no—
98C22⋊(C43⋊C8)—21no—
99C22⋊(C43⋊C8)—21no—
100#13063236—21no—
101#13063236—21no—
102#13063236—21no—
103#13063236—21no—
104#13063236—21no—
105#13063235—22no—
106C4×C43⋊C8—21no—
107C4×C43⋊C8—21no—
108C4×C43⋊C8—21no—
109C4×C43⋊C8—21no—
110C4×C43⋊C8—21no—
111C8×Dic43—22no—
112C43⋊#95—21no—
113C2×#41×C43C2311yescharacteristic
114C23×C4×C43C2311yescharacteristic
115C22×C8×C43C2311yescharacteristic
116C22×C8×C43C2311yescharacteristic
117#123×C43—21no—
118C22⋊Q8×C43C2×C411yescharacteristic
119C22⋊Q8×C43C2×C411yescharacteristic
120#121×C43C2×C411yescharacteristic
121#121×C43C2×C411yescharacteristic
122#120×C43—21no—
123C4×D4×C43—21no—
124C4×D4×C43—21no—
125#117×C43—21no—
126#117×C43—21no—
127#117×C43C2×C411yescharacteristic
128#117×C43C2×C411yescharacteristic
129#117×C43C2311yescharacteristic
130#117×C43C2311yescharacteristic
131#117×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2×C411yescharacteristic
133C2×C4⋊C4×C43C2×C411yescharacteristic
134C2×C22⋊C4×C43—21no—
135C2×C42×C43—21no—
136#107×C43C2×C411yescharacteristic
137#107×C43C2×C411yescharacteristic
138#107×C43C2×C411yescharacteristic
139#107×C43C2×C411yescharacteristic
140#106×C43C2×C411yescharacteristic
141#106×C43C2×C411yescharacteristic
142#106×C43C2×C411yescharacteristic
143#106×C43C2×C411yescharacteristic
144#103×C43C2×C411yescharacteristic
145#103×C43C2×C411yescharacteristic
146#103×C43C2×C411yescharacteristic
147#103×C43C2×C411yescharacteristic
148#102×C43C2×C411yescharacteristic
149#102×C43C2×C411yescharacteristic
150#102×C43C2×C411yescharacteristic
151#102×C43C2×C411yescharacteristic
152C22⋊C8×C43C2×C411yescharacteristic
153C22⋊C8×C43C2×C411yescharacteristic
154C22⋊C8×C43C2×C411yescharacteristic
155C22⋊C8×C43C2×C411yescharacteristic
156C24×C43#4111yescharacteristic
157#41×C43—21no—
158#41×C43—21no—
159#41×C43—21no—
160#41×C43—21no—
161C2×Q8×C43C22×C411yescharacteristic
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—21no—
165C2×D4×C43C22×C411yescharacteristic
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43C22×C411yescharacteristic
174C22×C4×C43C22×C411yescharacteristic
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43C2×D411yescharacteristic
177C22×C4×C43#4111yescharacteristic
178C22×C4×C43C2411yescharacteristic
179C22×Dic43—21no—
180C22×Dic43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43C22×C411yescharacteristic
186C2×C8×C43C22×C411yescharacteristic
187C2×C8×C43C22×C411yescharacteristic
188C2×C8×C43C22×C411yescharacteristic
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43C22×C411yescharacteristic
194C4⋊C4×C43C22×C411yescharacteristic
195C4⋊C4×C43C22×C411yescharacteristic
196C4⋊C4×C43C22×C411yescharacteristic
197C4⋊C4×C43C22×C411yescharacteristic
198C4⋊C4×C43C22×C411yescharacteristic
199C22⋊C4×C43—21no—
200C22⋊C4×C43—21no—
201C22⋊C4×C43—21no—
202C22⋊C4×C43—21no—
203C22⋊C4×C43—21no—
204C22⋊C4×C43—21no—
205C22⋊C4×C43—21no—
206C22⋊C4×C43—21no—
207C22⋊C4×C43—21no—
208C42×C43—21no—
209C42×C43—21no—
210C42×C43—21no—
211C42×C43—21no—
212C42×C43—21no—
213C22⋊Dic43—42no—
214C4×Dic43—21no—
215C4×Dic43—21no—
216C4×Dic43—21no—
217C4×Dic43—21no—
218#10621877—24no—
219#10621877—21no—
220#10621877—21no—
221#10621877—22no—
222#10621877—22no—
223#10621877—22no—
224#10621877—22no—
225#10621877—21no—
226#10621877—21no—
227#10621877—21no—
228#10621877—21no—
229#10621877—42no—
230#10621877#4112yes—
231#10621877#4112yes—
232C2×C43⋊C8—24no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—42no—
240C2×C43⋊C8C2×D411yescharacteristic
241C2×C43⋊C8C2×D411yescharacteristic
242C2×C43⋊C8C2×D411yescharacteristic
243C2×C43⋊C8C2×D411yescharacteristic
244C2×C43⋊C8#4112yes—
245C2×C43⋊C8#4112yes—
246C23×C43—21no—
247C23×C43—21no—
248C23×C43—21no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43C4×D411yescharacteristic
252C23×C43C4×D411yescharacteristic
253C23×C43C2×#4111yescharacteristic
254Q8×C43—21no—
255Q8×C43—21no—
256D4×C43—21no—
257D4×C43—21no—
258D4×C43—41no—
259D4×C43—41no—
260D4×C43—81no—
261D4×C43—81no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—21no—
275C2×C4×C43—21no—
276C2×C4×C43—21no—
277C2×C4×C43—21no—
278C2×C4×C43—21no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—81no—
282C2×C4×C43—81no—
283C2×C4×C43C4×D411yescharacteristic
284C2×C4×C43C4×D411yescharacteristic
285C2×C4×C43C23×C411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43C2×#4111yescharacteristic
291C2×Dic43—22no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C8×C43—21no—
298C8×C43—21no—
299C8×C43—21no—
300C8×C43—21no—
301C43⋊C8—21no—
302C43⋊C8—21no—
303C43⋊C8—22no—
304C43⋊C8—22no—
305C43⋊C8—41no—
306C43⋊C8—41no—
307C43⋊C8#12312yes—
308C43⋊C8#12312yes—
309#21594—431nomaximal, Sylow
310C22×C43—21no—
311C22×C43—21no—
312C22×C43—21no—
313C22×C43—21no—
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—21no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43C2×C4×D411yescharacteristic
324C22×C43#52911yescharacteristic
325C22×C43#52911yescharacteristic
326C4×C43—21no—
327C4×C43—21no—
328C4×C43—41no—
329C4×C43—41no—
330C4×C43—41no—
331C4×C43—41no—
332C4×C43—41no—
333C4×C43—41no—
334C4×C43—41no—
335C4×C43C4×#4111yescharacteristic
336C4×C43C4×#4111yescharacteristic
337C4×C43C2×#12311yescharacteristic
338C4×C43#52511yescharacteristic
339Dic43—42no—
340Dic43—81no—
341#3091D4311yescharacteristic
342#2930—431no—
343#2873—431no—
344#1929—431no—
345#1929—431no—
346#1922—431no—
347#1922—431no—
348#1871—431no—
349#1855—431no—
350#1826—431no—
351#1773—431no—
352#1772—431no—
353#1765—431no—
354#1764—431no—
355#1753—431no—
356C2×C43—21no—
357C2×C43—21no—
358C2×C43—41no—
359C2×C43—41no—
360C2×C43—81no—
361C2×C43C4×#12311yescharacteristic
362C2×C43#295611yescharacteristic
363C2×C43#295711yescharacteristic
364C2×#131—431no—
365C22×M16—431no—
366C22×M16—431no—
367#525C2×D4311yescharacteristic
368C2×#117C2×D4311yescharacteristic
369#485Dic4311yescharacteristic, complemented
370#485Dic4311yescharacteristic, complemented
371#484Dic4311yescharacteristic, complemented
372#483Dic4311yescharacteristic, complemented
373#482Dic4311yescharacteristic, complemented
374#482Dic4311yescharacteristic, complemented
375#481Dic4311yescharacteristic, complemented
376#480Dic4311yescharacteristic, complemented
377#436—861no—
378#436—861no—
379#435—861no—
380#435—861no—
381C2×#108—431no—
382C2×#108—431no—
383#427C2×D4311yescharacteristic
384#427C2×D4311yescharacteristic
385#424—431no—
386C2×#104—431no—
387C2×#104—431no—
388#416C2×D4311yescharacteristic
389#416C2×D4311yescharacteristic
390#408—431no—
391#407—431no—
392C2×C22⋊C8C2×D4311yescharacteristic
393#405—431no—
394#405—431no—
395#405—431no—
396#405—431no—
397#405—431no—
398#405—861no—
399#405—861no—
400C4×M16—861no—
401C4×M16—861no—
402C2×#97—431no—
403C2×C4×C8—431no—
404C4×C22⋊C4—431no—
405#341—431no—
406#341—431no—
407#339—431no—
408#339—431no—
409#339—431no—
410#339—431no—
411#339—431no—
412#339—431no—
413#336—431no—
414#336—431no—
415C43#2159411yescharacteristic, complemented, Sylow
416C2×#41C22×D4311yescharacteristic
417C23×C4C22×D4311yescharacteristic
418#131—862no—
419#131—862no—
420C2×M16—431no—
421C2×M16—431no—
422C2×M16—431no—
423C2×M16—431no—
424C2×M16—431no—
425C2×M16—431no—
426C2×M16—431no—
427C2×M16—431no—
428C2×M16—862no—
429C2×M16—862no—
430C2×M16—861no—
431C2×M16—862no—
432C2×M16—862no—
433C2×M16—861no—
434C22×C8—431no—
435C22×C8—431no—
436C22×C8—861no—
437C22×C8—861no—
438C22×C8C22×D4311yescharacteristic
439C22×C8C22×D4311yescharacteristic
440#123—21no—
441C22⋊Q8C2×Dic4311yescharacteristic
442C22⋊Q8C2×Dic4311yescharacteristic
443#121C2×Dic4311yescharacteristic
444#121C2×Dic4311yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—21no—
449#117—21no—
450#117C2×Dic4311yescharacteristic
451#117C2×Dic4311yescharacteristic
452#117C22×D4311yescharacteristic
453#117C22×D4311yescharacteristic
454#117C22×D4311yescharacteristic
455C2×C4⋊C4C2×Dic4311yescharacteristic
456C2×C4⋊C4C2×Dic4311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—861no—
459C2×C42—21no—
460C2×C42—431no—
461C2×C42—431no—
462#108—862no—
463#108—862no—
464#107C2×Dic4311yescharacteristic
465#107C2×Dic4311yescharacteristic
466#107C2×Dic4311yescharacteristic
467#107C2×Dic4311yescharacteristic
468#106C2×Dic4311yescharacteristic
469#106C2×Dic4311yescharacteristic
470#106C2×Dic4311yescharacteristic
471#106C2×Dic4311yescharacteristic
472C4⋊C8—861no—
473C4⋊C8—861no—
474#104—862no—
475#104—862no—
476#103C2×Dic4311yescharacteristic
477#103C2×Dic4311yescharacteristic
478#103C2×Dic4311yescharacteristic
479#103C2×Dic4311yescharacteristic
480#102C2×Dic4311yescharacteristic
481#102C2×Dic4311yescharacteristic
482#102C2×Dic4311yescharacteristic
483#102C2×Dic4311yescharacteristic
484C22⋊C8—861no—
485C22⋊C8—861no—
486C22⋊C8—861no—
487C22⋊C8—861no—
488C22⋊C8C2×Dic4311yescharacteristic
489C22⋊C8C2×Dic4311yescharacteristic
490C22⋊C8C2×Dic4311yescharacteristic
491C22⋊C8C2×Dic4311yescharacteristic
492#97—861no—
493#97—861no—
494#97—861no—
495#97—861no—
496#97—861no—
497#97—862no—
498C4×C8—861no—
499C4×C8—861no—
500C4×C8—861no—
501C4×C8—861no—
502C4×C8—861no—
503C4×C8—862no—
504#95—861no—
505C24#1062190011yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C22×Dic4311yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C22×Dic4311yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4D4×D4311yescharacteristic
525C22×C4D4×D4311yescharacteristic
526C22×C4#1062190011yescharacteristic
527C22×C4C22×Dic4311yescharacteristic
528C22×C4C22×Dic4311yescharacteristic
529C22×C4C23×D4311yescharacteristic
530M16—432no—
531M16—432no—
532M16—862no—
533M16—862no—
534M16—862no—
535M16—862no—
536M16—864no—
537M16—861no—
538M16—861no—
539M16—861no—
540M16—861no—
541M16—861no—
542M16—861no—
543M16—1722no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—431no—
549C2×C8—431no—
550C2×C8—432no—
551C2×C8—432no—
552C2×C8—431no—
553C2×C8—431no—
554C2×C8—864no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8—1722no—
562C2×C8C22×Dic4311yescharacteristic
563C2×C8C22×Dic4311yescharacteristic
564C2×C8C22×Dic4311yescharacteristic
565C2×C8C22×Dic4311yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4C22×Dic4311yescharacteristic
571C4⋊C4C22×Dic4311yescharacteristic
572C4⋊C4C22×Dic4311yescharacteristic
573C4⋊C4C22×Dic4311yescharacteristic
574C4⋊C4C22×Dic4311yescharacteristic
575C4⋊C4C22×Dic4311yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—1722no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—861no—
592C42—861no—
593C42—861no—
594C42—861no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23D4×Dic4311yescharacteristic
601C23D4×Dic4311yescharacteristic
602C23C2×#1062190011yescharacteristic
603Q8—21no—
604Q8—21no—
605D4—21no—
606D4—21no—
607D4—41no—
608D4—41no—
609D4—81no—
610D4—81no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—862no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4D4×Dic4311yescharacteristic
639C2×C4D4×Dic4311yescharacteristic
640C2×C4C23×Dic4311yescharacteristic
641C2×C4C2×D4×D4311yescharacteristic
642C2×C4#41×D4311yescharacteristic
643C2×C4#41×D4311yescharacteristic
644C2×C4#41×D4311yescharacteristic
645C2×C4#41×D4311yescharacteristic
646C8—21no—
647C8—21no—
648C8—21no—
649C8—21no—
650C8—432no—
651C8—432no—
652C8—861no—
653C8—861no—
654C8—862no—
655C8—862no—
656C8—1721no—
657C8—1721no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22C2×D4×Dic4311yescharacteristic
672C22#1458342611yescharacteristic
673C22#1458342611yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—41no—
683C4—3441no—
684C4—1722no—
685C4#41×Dic4311yescharacteristic
686C4#41×Dic4311yescharacteristic
687C4#123×D4311yescharacteristic
688C4#1458340711yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2#123×Dic4311yescharacteristic
695C2#1914350511yescharacteristic
696C2#1914351211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#3091C2
socleC22×C43C2×C4×D4
prime radicalC43×#525C22
cosocleC22×C4×C43C24
hypercenter#3091D43
hypocenterC43#21594
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #19143014C2semidirect
3. #19135245C2semidirect
4. #19135245C2semidirect
5. #19135196C2semidirect
6. #19135196C2semidirect
8. #19134802C2semidirect
9. #19134694C2semidirect
10. #19134481C2semidirect
11. #19134476C2semidirect
12. #19134442C2semidirect
13. #19134435C2semidirect
14. #19134381C2semidirect
54. C43×#485C4semidirect
55. C43×#485C4semidirect
56. C43×#484C4semidirect
57. C43×#483C4semidirect
58. C43×#482C4semidirect
59. C43×#482C4semidirect
60. C43×#481C4semidirect
61. C43×#480C4semidirect
369. #485Dic43semidirect
370. #485Dic43semidirect
371. #484Dic43semidirect
372. #483Dic43semidirect
373. #482Dic43semidirect
374. #482Dic43semidirect
375. #481Dic43semidirect
376. #480Dic43semidirect
415. C43#21594semidirect

Maximal subgroups

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

subgroupindex
#191432992
#191430142
#191352452
#191351962
#191348982
#191348022
#191346942
#191344812
#191344762
#191344422
#191344352
#191343812
C43×#30912
#2159443