Finite Group Databasebeta

← #25102974

Subgroups — #25102974

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×#14583094C211yesmaximal, characteristic
2C2×#14583008C211yesmaximal, characteristic, complemented
3C2×#14582979C211yesmaximal, characteristic, complemented
4#19137318C211yesmaximal, characteristic, complemented
5#19136956C211yesmaximal, characteristic, complemented
6#19135521C211yesmaximal, characteristic, complemented
7#19135361C211yesmaximal, characteristic, complemented
8#19135220C211yesmaximal, characteristic, complemented
9#19135213C211yesmaximal, characteristic, complemented
10#19134941C211yesmaximal, characteristic, complemented
11#19134941C211yesmaximal, characteristic, complemented
12#19134454C211yesmaximal, characteristic, complemented
13#19134419C211yesmaximal, characteristic, complemented
14#19134409C211yesmaximal, characteristic, complemented
15C43×#1804C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×#13063322C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×#13063287C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23#14583094C418yescomplemented
24#14583008—24no—
25#14582979—24no—
26C2×#13063258C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×C4⋊(C43⋊C8)C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37#14582800C2211yescharacteristic
38#14582800C2211yescharacteristic
39#14582777—21no—
40#14582777—21no—
41#14582777—21no—
42#14582777—21no—
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#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#382C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×D172—21no—
63C22×D172—21no—
64C22×D172C2311yescharacteristic
65C22×D172C2311yescharacteristic
66C23×Dic43—21no—
67C23×Dic43—21no—
68C22×C4×D43—21no—
69C22×C4×D43—21no—
70C2×#10621882—22no—
71C2×#10621882—22no—
72C2×#10621882—22no—
73C2×#10621882—22no—
74C2×#10621882C2×C414yescomplemented
75C2×#10621882C2×C414yescomplemented
76C22×C43⋊C8C2311yescharacteristic
77C22×C43⋊C8C2311yescharacteristic
78#13063322—22no—
79#13063322C2×C414yescomplemented
80D4×Dic43—22no—
81D4×Dic43—22no—
82D4×Dic43—22no—
83D4×Dic43D414yescomplemented
84#13063287—22no—
85#13063287—22no—
86#13063287—22no—
87#13063287—22no—
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43C2311yescharacteristic
102C2×C4×Dic43C2311yescharacteristic
103#13063258—22no—
104#13063256—22no—
105C4⋊(C43⋊C8)C2×C414yescomplemented
106#13063247—22no—
107#13063247—22no—
108#13063247—22no—
109#13063247—22no—
110#13063245C2×C414yescomplemented
111#13063245C2×C414yescomplemented
112#13063235—22no—
113C8×Dic43—22no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95D411yescharacteristic
118C43⋊#95D411yescharacteristic
119C43⋊#95D411yescharacteristic
120C43⋊#95D411yescharacteristic
121C22×D4×C43C2311yescharacteristic
122C23×C4×C43—21no—
123C22×C8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C4×D4×C43—22no—
126C4×D4×C43C2×C414yescomplemented
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C22⋊C4×C43—21no—
131C2×C42×C43C2311yescharacteristic
132C4⋊C8×C43—22no—
133#102×C43—22no—
134#102×C43—22no—
135#95×C43—21no—
136#95×C43—21no—
137C24×C43—21no—
138C23×D43—21no—
139C23×D43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43C22×C412yes—
144C2×D4×C43C2×D412yes—
145C2×D4×C43#4112yes—
146C22×C4×C43—24no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—81no—
151C22×C4×C43—81no—
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C22×Dic43—24no—
156C22×Dic43—24no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—81no—
160C22×Dic43—81no—
161C22×Dic43—81no—
162C22×Dic43—81no—
163C22×Dic43C2×D411yescharacteristic
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167C2×D172—21no—
168C2×D172—21no—
169C2×D172—24no—
170C2×D172—24no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172—81no—
180C2×D172—81no—
181C2×D172—81no—
182C2×D172—81no—
183C2×D172C22×C412yes—
184C2×D172C22×C412yes—
185C2×C4×D43—42no—
186C2×C4×D43—42no—
187C2×C4×D43—81no—
188C2×C4×D43—81no—
189C2×C4×D43—81no—
190C2×C4×D43—81no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43C22×C412yes—
203C22⋊C4×C43—24no—
204C42×C43C22×C412yes—
205C42×C43#4112yes—
206C22⋊Dic43—24no—
207C22⋊Dic43—24no—
208#10621882—28no—
209#10621882—28no—
210(C2×D43)⋊C4—42no—
211(C2×D43)⋊C4—42no—
212(C2×D43)⋊C4—81no—
213(C2×D43)⋊C4—81no—
214(C2×D43)⋊C4—81no—
215(C2×D43)⋊C4—81no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43C2×D412yes—
219C4⋊Dic43#4112yes—
220C4×Dic43—21no—
221C4×Dic43—21no—
222C4×Dic43—81no—
223C4×Dic43—81no—
224C4×Dic43—81no—
225C4×Dic43C2×D412yes—
226C4×Dic43#4112yes—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8C22×C412yes—
232C2×C43⋊C8C22×C412yes—
233C23×C43—22no—
234C23×C43—22no—
235C23×C43—22no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43C22×D411yescharacteristic
241C22×D43—22no—
242C22×D43—22no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
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×C43C4×D414yes—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—22no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—84no—
273C2×C4×C43C4×D412yes—
274C2×C4×C43C4×D412yes—
275C2×C4×C43C23×C411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—22no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—22no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—84no—
298C2×Dic43—84no—
299C2×Dic43#12112yes—
300C2×Dic43#12112yes—
301D172—22no—
302D172—22no—
303D172—22no—
304D172—22no—
305D172—41no—
306D172—41no—
307D172—41no—
308D172—41no—
309D172—84no—
310D172—84no—
311C4×D43—84no—
312C4×D43—84no—
313C8×C43—41no—
314C8×C43—41no—
315C43⋊C8—22no—
316C43⋊C8—22no—
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×C43C2×C4×D411yescharacteristic
326C22×C43C2×#12111yescharacteristic
327C22×C43#52511yescharacteristic
328C22×C43#57611yescharacteristic
329C22×C43#57611yescharacteristic
330C22×C43#57611yescharacteristic
331C22×C43#57711yescharacteristic
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—42no—
338C2×D43—81no—
339C2×D43—81no—
340C2×D43—81no—
341C2×D43—81no—
342C2×D43—81no—
343C2×D43—81no—
344C2×D43—81no—
345C2×D43—81no—
346C4×C43—22no—
347C4×C43—22no—
348C4×C43—42no—
349C4×C43—81no—
350C4×C43—81no—
351C4×C43C2×C4×D411yescharacteristic
352C4×C43C4×#4111yescharacteristic
353C4×C43#52911yescharacteristic
354C4×C43#53211yescharacteristic
355Dic43—22no—
356Dic43—22no—
357Dic43—41no—
358Dic43—41no—
359Dic43—42no—
360Dic43—42no—
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#1879—431no—
372#1804D4311yescharacteristic, complemented
373#1768—431no—
374#1762—431no—
375C4×#102—431no—
376C2×C43—44no—
377C2×C43C4×#12111yescharacteristic
378C2×C43#294611yescharacteristic
379C2×C43#294811yescharacteristic
380C2×C43#304111yescharacteristic
381C2×C43#304511yescharacteristic
382C2×C43#311911yescharacteristic
383C2×C43#312211yescharacteristic
384D43—82no—
385D43—82no—
386C22×D8—431no—
387C22×D8—431no—
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⋊C8C2×D4311yescharacteristic
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#390—431no—
413#386—861no—
414#386—861no—
415#386—861no—
416#386—861no—
417#382C2×D4311yescharacteristic
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#340C2×D4311yescharacteristic
429#340C2×D4311yescharacteristic
430#336—431no—
431#336—431no—
432C43#2151311yescharacteristic, complemented, Sylow
433C22×D4—431no—
434C22×D4—431no—
435C22×D4—861no—
436C22×D4—861no—
437C22×D4C22×D4311yescharacteristic
438C23×C4—21no—
439C23×C4—861no—
440C23×C4—861no—
441C23×C4—861no—
442C23×C4—861no—
443C2×D8—434no—
444C2×D8—434no—
445C2×D8—862no—
446C2×D8—862no—
447C2×D8—862no—
448C2×D8—862no—
449C22×C8—431no—
450C22×C8—431no—
451C22×C8C22×D4311yescharacteristic
452C22×C8C22×D4311yescharacteristic
453#127—434no—
454#127—862no—
455C4×D4—22no—
456C4×D4—434no—
457C4×D4—862no—
458C4×D4—862no—
459C4×D4—862no—
460C4×D4—862no—
461C4×D4—862no—
462C4×D4—862no—
463C4×D4—862no—
464C4×D4C4×D4314yescomplemented
465C2×C4⋊C4—431no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
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—22no—
488C4⋊C8—434no—
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—21no—
500#95—21no—
501#95—431no—
502#95—431no—
503#95—431no—
504#95—431no—
505#95—861no—
506#95—861no—
507#95—861no—
508C24—21no—
509C24—861no—
510C24—861no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—432no—
515C2×D4—432no—
516C2×D4—864no—
517C2×D4—864no—
518C2×D4—861no—
519C2×D4—861no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—861no—
523C2×D4—861no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—3441no—
529C2×D4—3441no—
530C2×D4—3441no—
531C2×D4—3441no—
532C2×D4C2×C4×D4312yes—
533C2×D4D4×D4312yes—
534C2×D4#1062190212yes—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—81no—
540C22×C4—81no—
541C22×C4—431no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—864no—
546C22×C4—864no—
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—868no—
563D8—868no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—432no—
571C2×C8—432no—
572C2×C8—861no—
573C2×C8—861no—
574C2×C8—861no—
575C2×C8—861no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—432no—
582C4⋊C4—432no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4C2×C4×D4312yes—
586C22⋊C4—24no—
587C22⋊C4—864no—
588C22⋊C4—864no—
589C22⋊C4—3441no—
590C22⋊C4—3441no—
591C22⋊C4—3441no—
592C22⋊C4—3441no—
593C22⋊C4—1722no—
594C22⋊C4—1722no—
595C42—432no—
596C42—432no—
597C42—861no—
598C42—861no—
599C42—3441no—
600C42—3441no—
601C42—3441no—
602C42C2×C4×D4312yes—
603C42#1062190012yes—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—862no—
612C23—862no—
613C23—1721no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23—1721no—
620C23—1721no—
621C23—1721no—
622C23—1721no—
623C23—1721no—
624C23—1721no—
625C23C2×D4×D4311yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—862no—
630D4—862no—
631D4—862no—
632D4—862no—
633D4—3444no—
634D4—3444no—
635D4—1721no—
636D4—1721no—
637D4—1721no—
638D4—1721no—
639D4#1306328714yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—84no—
654C2×C4—432no—
655C2×C4—432no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—862no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—862no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—3444no—
669C2×C4—3444no—
670C2×C4—3444no—
671C2×C4—3444no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1721no—
676C2×C4(C22⋊D43)⋊C412yes—
677C2×C4(C22⋊D43)⋊C412yes—
678C2×C4C22×C4×D4311yescharacteristic
679C2×C4C2×D4×D4311yescharacteristic
680C2×C4#41×D4311yescharacteristic
681C2×C4#41×D4311yescharacteristic
682C2×C4C2×#1062190011yescharacteristic
683C2×C4C2×#1062190211yescharacteristic
684C8—41no—
685C8—41no—
686C8—862no—
687C8—862no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—3441no—
696C22—3441no—
697C22—3441no—
698C22—3441no—
699C22—3441no—
700C22—3441no—
701C22—3441no—
702C22—3441no—
703C22—1722no—
704C22—1722no—
705C22—1722no—
706C22—1722no—
707C22—1722no—
708C22—1722no—
709C22C2×(C22⋊D43)⋊C411yescharacteristic
710C22#121×D4311yescharacteristic
711C22#1458341211yescharacteristic
712C22#1458370111yescharacteristic
713C22#1458370311yescharacteristic
714C22#1458370311yescharacteristic
715C22#1458370611yescharacteristic
716C4—22no—
717C4—22no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—862no—
722C4—862no—
723C4—1721no—
724C4—1721no—
725C4—1722no—
726C4—1722no—
727C4C2×#1306328711yescharacteristic
728C4#1458336711yescharacteristic
729C4#1458343511yescharacteristic
730C4#1458344411yescharacteristic
731C2—44no—
732C2—3442no—
733C2—3442no—
734C2#1913710111yescharacteristic
735C2#1914343011yescharacteristic
736C2#1914344311yescharacteristic
737C2#1914409611yescharacteristic
738C2#1914413511yescharacteristic
739C2#1914479911yescharacteristic
740C2#1914484011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1804C2
socleC23×C43C22×D4
prime radicalC2×#14583094C2
cosocleC22×C4×C43C24
hypercenter#1804D43
hypocenterC43#21513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1804

Complements

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

NH ≅ G/Ntype
2. C2×#14583008C2semidirect
3. C2×#14582979C2semidirect
4. #19137318C2semidirect
5. #19136956C2semidirect
6. #19135521C2semidirect
7. #19135361C2semidirect
8. #19135220C2semidirect
9. #19135213C2semidirect
10. #19134941C2semidirect
11. #19134941C2semidirect
12. #19134454C2semidirect
13. #19134419C2semidirect
14. #19134409C2semidirect
15. C43×#1804C2semidirect
23. #14583094C4semidirect
74. C2×#10621882C2×C4semidirect
75. C2×#10621882C2×C4semidirect
79. #13063322C2×C4semidirect
83. D4×Dic43D4semidirect
105. C4⋊(C43⋊C8)C2×C4semidirect
110. #13063245C2×C4semidirect
111. #13063245C2×C4semidirect
126. C4×D4×C43C2×C4semidirect
372. #1804D43semidirect
432. C43#21513semidirect
464. C4×D4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830942
C2×#145830082
C2×#145829792
#191373182
#191369562
#191355212
#191353612
#191352202
#191352132
#191349412
#191344542
#191344192
#191344092
C43×#18042
#2151343