Finite Group Databasebeta

← #25133115

Subgroups — #25133115

Order 11008.

1296 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic86C211yesmaximal, characteristic, complemented
2C2×#14583188C211yesmaximal, characteristic, complemented
3C2×#14583008C211yesmaximal, characteristic
4#19139955C211yesmaximal, characteristic, complemented
5#19135928C211yesmaximal, characteristic, complemented
6#19135926C211yesmaximal, characteristic, complemented
7#19135732C211yesmaximal, characteristic, complemented
8#19135730C211yesmaximal, characteristic, complemented
9#19135566C211yesmaximal, characteristic, complemented
10#19135533C211yesmaximal, characteristic, complemented
11#19134943C211yesmaximal, characteristic
12#19134941C211yesmaximal, characteristic
13#19134854C211yesmaximal, characteristic, complemented
14#19134603C211yesmaximal, characteristic, complemented
15C43×#1864C211yesmaximal, characteristic, complemented
16C23×Dic86—21no—
17C22×#10621882C2211yescharacteristic
18D4×Dic86—24no—
19D4×Dic86—24no—
20C2×#13063325C2211yescharacteristic
21C2×#13063324C2211yescharacteristic
22C2×#13063324C2211yescharacteristic
23C2×#13063304—21no—
24C2×#13063302—21no—
25C2×#13063302—21no—
26C2×C4×Dic86C2211yescharacteristic
27C2×D4×Dic43C2211yescharacteristic
28C2×D4×Dic43C2211yescharacteristic
29C2×#13063287C2211yescharacteristic
30#14583188—24no—
31#14583008—24no—
32C2×#13063256C2211yescharacteristic
33C2×#13063256C2211yescharacteristic
34C2×Dic43⋊C8C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063247C2211yescharacteristic
37C2×#13063246C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×#13063235C2211yescharacteristic
40#14582834—21no—
41#14582812—21no—
42#14582801C2211yescharacteristic
43#14582800C2211yescharacteristic
44#14582795C2211yescharacteristic
45#14582773—21no—
46#14582770—21no—
47#14582764C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C2×#106×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C43×#389C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86—28no—
64C22×Dic86—21no—
65C22×Dic86—21no—
66C22×Dic86—21no—
67C22×Dic86—44no—
68C22×Dic86—44no—
69C22×Dic86D411yescharacteristic
70C22×D172C2311yescharacteristic
71C23×Dic43—21no—
72C23×Dic43—21no—
73C22×C4×D43—21no—
74C2×#10621882—22no—
75C2×#10621882—22no—
76C2×#10621882Q814yescomplemented
77C22×C43⋊C8C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79#13063325—22no—
80#13063325—22no—
81#13063324—22no—
82#13063324—22no—
83#13063324—22no—
84#13063324D414yes—
85#13063304—28no—
86#13063302—28no—
87#13063302—28no—
88C4×Dic86—22no—
89C4×Dic86—22no—
90D4×Dic43—22no—
91D4×Dic43—22no—
92D4×Dic43—22no—
93D4×Dic43D414yes—
94#13063287—22no—
95#13063287—22no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43D411yescharacteristic
98C2×C4⋊Dic43C2311yescharacteristic
99C2×C4⋊Dic43C2311yescharacteristic
100C2×C4⋊Dic43C2311yescharacteristic
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4D411yescharacteristic
105C2×Dic43⋊C4D411yescharacteristic
106C2×C22⋊Dic43—21no—
107C2×C22⋊Dic43—21no—
108C2×(C2×D43)⋊C4—21no—
109C2×(C2×D43)⋊C4—21no—
110C2×(C2×D43)⋊C4—21no—
111C2×(C2×D43)⋊C4—21no—
112C2×(C2×D43)⋊C4—21no—
113C2×C4×Dic43C2311yescharacteristic
114C2×C4×Dic43C2311yescharacteristic
115#13063256—22no—
116#13063256—22no—
117Dic43⋊C8—22no—
118#13063247—22no—
119#13063247—22no—
120#13063246—22no—
121#13063245—22no—
122#13063235—22no—
123C43⋊#95—21no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C22×D4×C43C2311yescharacteristic
127C23×C4×C43—21no—
128C22×C8×C43C2311yescharacteristic
129C22×C8×C43C2311yescharacteristic
130C4×D4×C43—22no—
131C4×D4×C43—22no—
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C22⋊C4×C43—21no—
137C2×C42×C43C2311yescharacteristic
138#106×C43—22no—
139#102×C43—22no—
140#102×C43—22no—
141#95×C43—21no—
142C24×C43—21no—
143C23×D43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43C2×D412yes—
148C2×D4×C43C2×Q812yes—
149C2×D4×C43#4112yes—
150C22×C4×C43—24no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—42no—
155C22×C4×C43—42no—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2411yescharacteristic
159C22×Dic43—24no—
160C22×Dic43—24no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—42no—
165C22×Dic43—42no—
166C22×Dic43—42no—
167C22×Dic43—42no—
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172C2×Q812yescomplemented
178C2×C4×D43—42no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×Dic86—22no—
182C2×Dic86—22no—
183C2×Dic86—22no—
184C2×Dic86—24no—
185C2×Dic86—24no—
186C2×Dic86—24no—
187C2×Dic86—432no—
188C2×Dic86—42no—
189C2×Dic86—42no—
190C2×Dic86—42no—
191C2×Dic86—42no—
192C2×Dic86—42no—
193C2×Dic86—42no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—81no—
206C4⋊C4×C43C2×D412yes—
207C22⋊C4×C43—24no—
208C42×C43—21no—
209C42×C43—21no—
210C22⋊Dic43—24no—
211C22⋊Dic43—24no—
212#10621882—28no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215(C2×D43)⋊C4—42no—
216(C2×D43)⋊C4—81no—
217(C2×D43)⋊C4—81no—
218C4⋊Dic43—24no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—22no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43C2×D412yes—
225C4⋊Dic43C2×D412yes—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—22no—
229Dic43⋊C4—22no—
230Dic43⋊C4—81no—
231C4×Dic43—21no—
232C4×Dic43—21no—
233C4×Dic43C2×D412yes—
234C4×Dic43C2×D412yes—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8C2×Q812yescomplemented
241C23×C43—22no—
242C23×C43—22no—
243C23×C43—22no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43C22×D411yescharacteristic
249C22×D43—22no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253C22×D43—41no—
254C22×D43—41no—
255C22×D43—41no—
256D4×C43—22no—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43C22⋊Q814yes—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—22no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—48no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43AGL(1,ℤ/8)12yes—
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C22×Q811yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C432−1+411yescharacteristic
281C2×C4×C432−1+411yescharacteristic
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—48no—
294C2×Dic43—48no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43#12012yes—
303C2×Dic43#12012yes—
304C2×Dic43AGL(1,ℤ/8)12yes—
305D172—22no—
306D172—22no—
307D172—41no—
308D172—41no—
309C4×D43—84no—
310Dic86—28no—
311Dic86—48no—
312Dic86—48no—
313Dic86—48no—
314C8×C43—41no—
315C8×C43—41no—
316C43⋊C8—22no—
317C43⋊C8—41no—
318#24338—431nomaximal, Sylow
319C22×C43—24no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43C2×#12011yescharacteristic
327C22×C43#54811yescharacteristic
328C22×C43D4×Q811yescharacteristic
329C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
330C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
331C22×C43#57711yescharacteristic
332C22×C43#57711yescharacteristic
333C2×D43—42no—
334C2×D43—42no—
335C2×D43—42no—
336C2×D43—81no—
337C2×D43—81no—
338C2×D43—81no—
339C2×D43—81no—
340C4×C43—22no—
341C4×C43—42no—
342C4×C43—41no—
343C4×C43—81no—
344C4×C43—81no—
345C4×C43C2×C22⋊Q811yescharacteristic
346C4×C43#53611yescharacteristic
347C4×C43#54811yescharacteristic
348C4×C43D4×Q811yescharacteristic
349Dic43—22no—
350Dic43—22no—
351Dic43—22no—
352Dic43—42no—
353Dic43—42no—
354Dic43—41no—
355Dic43—81no—
356C2×D4×Q8—431no—
357C2×#476—431no—
358C2×#442—431no—
359#2580—431no—
360#2058—431no—
361#2058—431no—
362#2023—431no—
363#2023—431no—
364#1993—431no—
365#1985—431no—
366#1879—431no—
367#1879—431no—
368#1864—431no—
369#1864D4311yescharacteristic, complemented
370#1804—431no—
371C2×C43—44no—
372C2×C43#240911yescharacteristic
373C2×C43#300311yescharacteristic
374C2×C43#301011yescharacteristic
375C2×C43#337311yescharacteristic
376C2×C43#337311yescharacteristic
377C2×C43#338411yescharacteristic
378C2×C43#338411yescharacteristic
379D43—82no—
380C23×Q8—861no—
381C22×D8—431no—
382D4×Q8—864no—
383D4×Q8—864no—
384C2×C4⋊Q8—431no—
385C2×C4⋊Q8—431no—
386C2×C4⋊Q8—431no—
387C2×C22⋊Q8—861no—
388C2×C22⋊Q8—861no—
389C2×C22⋊Q8—861no—
390C2×C4×Q8—431no—
391C2×C4×D4—431no—
392C2×C4×D4—431no—
393C2×C4×D4—431no—
394C2×C4×D4C2×D4311yescharacteristic
395#476—864no—
396#442—864no—
397C2×#106—431no—
398C2×#106—431no—
399C2×#106C2×D4311yescharacteristic
400C2×C4⋊C8—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102C2×D4311yescharacteristic
406C2×#102C2×D4311yescharacteristic
407C2×#97—431no—
408#399—861no—
409#393—861no—
410#390—431no—
411#390—431no—
412#389—431no—
413#389C2×D4311yescharacteristic
414#385—861no—
415#385—861no—
416#382—431no—
417#340—431no—
418#340—431no—
419#340—431no—
420#340—431no—
421#340—431no—
422#340C2×D4311yescharacteristic
423#336—431no—
424#336—431no—
425#336—431no—
426#336C2×D4311yescharacteristic
427C43#2433811yescharacteristic, complemented, Sylow
428C22×Q8—431no—
429C22×Q8—861no—
430C22×Q8—861no—
431C22×Q8—868no—
432C22×Q8—861no—
433C22×Q8—1724no—
434C22×Q8—1724no—
435C22×D4—431no—
436C22×D4C22×D4311yescharacteristic
437C23×C4—21no—
438C23×C4—861no—
439C23×C4—861no—
440C23×C4—861no—
441C2×D8—434no—
442C2×D8—862no—
443C2×D8—862no—
444C22×C8—431no—
445C22×C8—431no—
446C22×C8C22×D4311yescharacteristic
447C22×C8C22×D4311yescharacteristic
448C4⋊Q8—434no—
449C4⋊Q8—862no—
450C4⋊Q8—862no—
451C4⋊Q8—862no—
452C4⋊Q8—862no—
453C4⋊Q8—862no—
454C22⋊Q8—868no—
455C22⋊Q8—868no—
456C22⋊Q8—868no—
457C4×Q8—862no—
458C4×Q8—862no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—434no—
462C4×D4—862no—
463C4×D4—862no—
464C4×D4—862no—
465C4×D4—862no—
466C4×D4—862no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C4⋊C4C22×D4311yescharacteristic
480C2×C4⋊C4C22×D4311yescharacteristic
481C2×C22⋊C4—21no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C42—431no—
490C2×C42—431no—
491C2×C42C22×D4311yescharacteristic
492#106—22no—
493#106—862no—
494#106—862no—
495C4⋊C8—862no—
496#102—22no—
497#102—22no—
498#102—862no—
499#102—862no—
500#102—862no—
501#102—862no—
502#97—862no—
503#95—21no—
504#95—861no—
505#95—861no—
506#95—861no—
507C24—21no—
508C24—861no—
509C2×Q8—862no—
510C2×Q8—862no—
511C2×Q8—864no—
512C2×Q8—864no—
513C2×Q8—864no—
514C2×Q8—862no—
515C2×Q8—1722no—
516C2×Q8—1722no—
517C2×Q8—1722no—
518C2×Q8—1722no—
519C2×Q8—1722no—
520C2×Q8—17232no—
521C2×Q8—1722no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—432no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—861no—
530C2×D4—861no—
531C2×D4#1062189812yes—
532C2×D4D4×D4312yes—
533C2×D4Q8×D4312yes—
534C22×C4—24no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—864no—
545C22×C4—864no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—861no—
549C22×C4—3441no—
550C22×C4—3441no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4—1722no—
554C22×C4—1722no—
555C22×C4—1722no—
556C22×C4D4×D4311yescharacteristic
557C22×C4D4×D4311yescharacteristic
558C22×C4C23×D4311yescharacteristic
559D8—868no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—432no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8—861no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—81no—
578C4⋊C4—432no—
579C4⋊C4—432no—
580C4⋊C4—862no—
581C4⋊C4—862no—
582C4⋊C4—862no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—3441no—
591C4⋊C4D4×D4312yes—
592C22⋊C4—24no—
593C22⋊C4—864no—
594C22⋊C4—864no—
595C22⋊C4—3441no—
596C22⋊C4—3441no—
597C22⋊C4—1722no—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C42—21no—
601C42—21no—
602C42—432no—
603C42—432no—
604C42—861no—
605C42—861no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—862no—
614C23—1721no—
615C23—1721no—
616C23—1721no—
617C23—1721no—
618C23—1721no—
619C23—1721no—
620C23C2×D4×D4311yescharacteristic
621Q8—868no—
622Q8—1728no—
623Q8—1728no—
624Q8—1728no—
625D4—22no—
626D4—22no—
627D4—22no—
628D4—862no—
629D4—862no—
630D4—1721no—
631D4—1721no—
632D4#1306330314yes—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—48no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—432no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—861no—
657C2×C4—861no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—3444no—
663C2×C4—1728no—
664C2×C4—1728no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4—1721no—
672C2×C4#1306335212yes—
673C2×C4C2×D4×D4311yescharacteristic
674C2×C4C2×D4×D4311yescharacteristic
675C2×C4C2×Q8×D4311yescharacteristic
676C2×C4C2×#1062189811yescharacteristic
677C2×C4#1306337211yescharacteristic
678C2×C4#1306337211yescharacteristic
679C8—41no—
680C8—41no—
681C8—862no—
682C8—1721no—
683C22—24no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—3441no—
691C22—3441no—
692C22—3441no—
693C22—3441no—
694C22—1722no—
695C22—1722no—
696C22—1722no—
697C22#120×D4311yescharacteristic
698C22#1458355811yescharacteristic
699C22#1458356211yescharacteristic
700C22AGL(1,ℤ/8)×D4311yescharacteristic
701C22C2×#1306335211yescharacteristic
702C22#1458370611yescharacteristic
703C22#1458370911yescharacteristic
704C4—22no—
705C4—42no—
706C4—41no—
707C4—81no—
708C4—81no—
709C4—862no—
710C4—862no—
711C4—862no—
712C4—3441no—
713C4—1722no—
714C4—1722no—
715C4—1721no—
716C4C2×#1306330311yescharacteristic
717C4#1458347111yescharacteristic
718C4#1458355811yescharacteristic
719C4#1458356211yescharacteristic
720C2—44no—
721C2—3442no—
722C2#1913795911yescharacteristic
723C2#1914382311yescharacteristic
724C2#1914387811yescharacteristic
725C2#1914738511yescharacteristic
726C2#1914738811yescharacteristic
727C2#1914749311yescharacteristic
728C2#1914749711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1864C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
hypercenter#1864D43
hypocenterC43#24338
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1864

Complements

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

NH ≅ G/Ntype
1. C2×D4×Dic86C2semidirect
2. C2×#14583188C2semidirect
4. #19139955C2semidirect
5. #19135928C2semidirect
6. #19135926C2semidirect
7. #19135732C2semidirect
8. #19135730C2semidirect
9. #19135566C2semidirect
10. #19135533C2semidirect
13. #19134854C2semidirect
14. #19134603C2semidirect
15. C43×#1864C2semidirect
76. C2×#10621882Q8semidirect
177. C2×D172C2×Q8semidirect
240. C2×C43⋊C8C2×Q8semidirect
369. #1864D43semidirect
427. C43#24338semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic862
C2×#145831882
C2×#145830082
#191399552
#191359282
#191359262
#191357322
#191357302
#191355662
#191355332
#191349432
#191349412
#191348542
#191346032
C43×#18642
#2433843