Finite Group Databasebeta

← #25133223

Subgroups — #25133223

Order 11008.

1140 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583609C211yesmaximal, characteristic, complemented
2C2×#14583199C211yesmaximal, characteristic, complemented
3C2×#14583009C211yesmaximal, characteristic
4#19135933C211yesmaximal, characteristic, complemented
5#19135928C211yesmaximal, characteristic, complemented
6#19135741C211yesmaximal, characteristic, complemented
7#19135731C211yesmaximal, characteristic, complemented
8#19135563C211yesmaximal, characteristic, complemented
9#19135536C211yesmaximal, characteristic, complemented
10#19134946C211yesmaximal, characteristic
11#19134946C211yesmaximal, characteristic
12#19134855C211yesmaximal, characteristic, complemented
13#19134841C211yesmaximal, characteristic, complemented
14#19134592C211yesmaximal, characteristic, complemented
15C43×#2538C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17#14583609—24no—
18#14583609—24no—
19C2×#13063325C2211yescharacteristic
20C2×#13063317C2211yescharacteristic
21C2×#13063317C2211yescharacteristic
22C2×#13063303—21no—
23C2×#13063303—21no—
24C2×#13063301—21no—
25C2×C4×D172C2211yescharacteristic
26C2×C4×D172C2211yescharacteristic
27C2×C4×D172C2211yescharacteristic
28C2×C4⋊C4×D43—21no—
29#14583199—24no—
30#14583009—24no—
31C2×#13063258C2211yescharacteristic
32C2×#13063256C2211yescharacteristic
33C2×#13063256C2211yescharacteristic
34C2×C4⋊(C43⋊C8)C2211yescharacteristic
35C2×#13063246C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37C2×#13063246C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063245C2211yescharacteristic
41C2×#13063236C2211yescharacteristic
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50#14582654C2211yescharacteristic
51#14582654C2211yescharacteristic
52C2×C22⋊Q8×C43—21no—
53C2×C4×Q8×C43C2211yescharacteristic
54C2×C4×D4×C43C2211yescharacteristic
55C43×#396—21no—
56C43×#396—21no—
57C43×#390C2211yescharacteristic
58C43×#390C2211yescharacteristic
59C43×#389C2211yescharacteristic
60C43×#389C2211yescharacteristic
61C43×#384C2211yescharacteristic
62C43×#380—21no—
63C22×Dic86—21no—
64C22×D172C2311yescharacteristic
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C2×#10621882—22no—
69C2×#10621882—22no—
70C2×#10621882Q814yescomplemented
71C22×C43⋊C8C2311yescharacteristic
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75#13063325—22no—
76#13063325—22no—
77#13063317—22no—
78#13063317—22no—
79#13063317—22no—
80#13063317D414yes—
81#13063303—28no—
82#13063303—28no—
83#13063301—28no—
84C4×D172—22no—
85C4×D172—22no—
86C4×D172—22no—
87C4×D172—22no—
88C4×D172—22no—
89C4×D172D414yes—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C4⋊C4×D43—28no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102#13063258—22no—
103#13063256—22no—
104#13063256—22no—
105C4⋊(C43⋊C8)—22no—
106#13063246—22no—
107#13063246—22no—
108#13063246—22no—
109#13063245—22no—
110#13063245—22no—
111#13063245—22no—
112#13063236—22no—
113C22×Q8×C43D411yescharacteristic
114C22×D4×C43C2311yescharacteristic
115C23×C4×C43—21no—
116C22⋊Q8×C43—44no—
117C4×Q8×C43—22no—
118C4×Q8×C43—22no—
119C4×D4×C43—22no—
120C4×D4×C43—22no—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43—21no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43D411yescharacteristic
126C2×C4⋊C4×C43D411yescharacteristic
127C2×C4⋊C4×C43D411yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134C2×C22⋊C4×C43—21no—
135C2×C22⋊C4×C43—21no—
136C2×C42×C43C2311yescharacteristic
137C2×C42×C43C2311yescharacteristic
138C2×C42×C43C2311yescharacteristic
139#95×C43—21no—
140#95×C43—21no—
141C24×C43—21no—
142C23×D43—21no—
143C2×Q8×C43—22no—
144C2×Q8×C43—22no—
145C2×Q8×C43—41no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43C2×Q812yes—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—42no—
156C22×C4×C43—42no—
157C22×C4×C43—42no—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2411yescharacteristic
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172C2×D412yes—
172C2×D172C2×Q812yes—
173C2×D172#4112yes—
174C2×C4×D43—24no—
175C2×C4×D43—24no—
176C2×C4×D43—24no—
177C2×C4×D43—42no—
178C2×C4×D43—42no—
179C2×C4×D43—81no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182C2×C4×D43—81no—
183C2×Dic86—24no—
184C2×Dic86—81no—
185C2×Dic86—81no—
186C4⋊C4×C43—22no—
187C4⋊C4×C43—22no—
188C4⋊C4×C43—22no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—42no—
196C4⋊C4×C43—42no—
197C4⋊C4×C43—42no—
198C4⋊C4×C43—81no—
199C22⋊C4×C43—42no—
200C22⋊C4×C43—42no—
201C22⋊C4×C43—42no—
202C22⋊C4×C43—81no—
203C22⋊C4×C43—81no—
204C42×C43—21no—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—21no—
208C42×C43C2×D412yes—
209C42×C43C2×D412yes—
210#10621882—28no—
211(C2×D43)⋊C4—24no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—24no—
214C4⋊Dic43—24no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43C2×D412yes—
219C4⋊Dic43C2×D412yes—
220C4⋊Dic43C2×D412yes—
221Dic43⋊C4—24no—
222Dic43⋊C4—24no—
223Dic43⋊C4—24no—
224Dic43⋊C4—24no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8C2×Q812yes—
237C23×C43—22no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C22×D411yescharacteristic
245C22×D43—22no—
246C22×D43—22no—
247C22×D43—22no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252Q8×C43—44no—
253D4×C43—22no—
254D4×C43—22no—
255D4×C43—41no—
256D4×C43—41no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
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—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—84no—
282C2×C4×C43#12012yes—
283C2×C4×C43#12012yes—
284C2×C4×C43AGL(1,ℤ/8)12yes—
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C22×Q811yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C432−1+411yescharacteristic
290C2×C4×C432−1+411yescharacteristic
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300D172—22no—
301D172—22no—
302D172—22no—
303D172C22⋊Q814yescomplemented
304C4×D43—48no—
305C4×D43—84no—
306C4×D43—84no—
307Dic86—84no—
308C43⋊C8—22no—
309C43⋊C8—41no—
310C43⋊C8—41no—
311C43⋊C8—41no—
312#24347—431nomaximal, Sylow
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43C2×#12011yescharacteristic
321C22×C43#54811yescharacteristic
322C22×C43D4×Q811yescharacteristic
323C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
324C22×C43#57511yescharacteristic
325C22×C43#57611yescharacteristic
326C22×C43#57711yescharacteristic
327C2×D43—24no—
328C2×D43—42no—
329C2×D43—42no—
330C2×D43—42no—
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C4×C43—22no—
335C4×C43—22no—
336C4×C43—22no—
337C4×C43—41no—
338C4×C43—41no—
339C4×C43—41no—
340C4×C43—81no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43C2×C22⋊Q811yescharacteristic
344C4×C43#53611yescharacteristic
345C4×C43#54811yescharacteristic
346C4×C43D4×Q811yescharacteristic
347Dic43—42no—
348Dic43—42no—
349Dic43—42no—
350C2×#554—431no—
351C2×#478—431no—
352C2×#442—431no—
353#2538D4311yescharacteristic, complemented
354#2059—431no—
355#2058—431no—
356#2025—431no—
357#2023—431no—
358#1992—431no—
359#1985—431no—
360#1879—431no—
361#1879—431no—
362#1864—431no—
363#1862—431no—
364#1802—431no—
365C2×C43—82no—
366C2×C43#240911yescharacteristic
367C2×C43#300611yescharacteristic
368C2×C43#301211yescharacteristic
369C2×C43#336611yescharacteristic
370C2×C43#337611yescharacteristic
371C2×C43#338411yescharacteristic
372C2×C43#338911yescharacteristic
373D43—44no—
374C22×D8—431no—
375#554—864no—
376#554—864no—
377C2×C4⋊Q8—431no—
378C2×#125—431no—
379C2×#125—431no—
380C2×C22⋊Q8—21no—
381C2×C22⋊Q8—861no—
382C2×C22⋊Q8—861no—
383C2×C22⋊Q8—861no—
384C2×C4×Q8C2×D4311yescharacteristic
385C2×C4×D4—431no—
386C2×C4×D4—431no—
387C2×C4×D4—431no—
388C2×C4×D4C2×D4311yescharacteristic
389C22×C4⋊C4—861no—
390#478—864no—
391#442—864no—
392C2×#107—431no—
393C2×#106—431no—
394C2×#106—431no—
395C2×C4⋊C8—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×#102—431no—
402C2×#97—431no—
403#396—21no—
404#396—21no—
405#390C2×D4311yescharacteristic
406#390C2×D4311yescharacteristic
407#389C2×D4311yescharacteristic
408#389C2×D4311yescharacteristic
409#384C2×D4311yescharacteristic
410#380—21no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#336—431no—
418#336—431no—
419#336—431no—
420#336—431no—
421C43#2434711yescharacteristic, complemented, Sylow
422C22×Q8—861no—
423C22×Q8C22⋊D4311yescharacteristic
424C22×D4—431no—
425C22×D4C22×D4311yescharacteristic
426C23×C4—21no—
427C23×C4—861no—
428C23×C4—861no—
429C23×C4—861no—
430C2×D8—434no—
431C2×D8—862no—
432C2×D8—862no—
433C22×C8—431no—
434C22×C8—431no—
435C22×C8—431no—
436C22×C8—431no—
437C4⋊Q8—862no—
438C4⋊Q8—862no—
439#125—434no—
440#125—862no—
441#125—862no—
442#125—862no—
443C22⋊Q8—44no—
444C22⋊Q8—868no—
445C22⋊Q8—868no—
446C22⋊Q8—868no—
447C4×Q8—22no—
448C4×Q8—22no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—434no—
452C4×D4—862no—
453C4×D4—862no—
454C4×D4—862no—
455C4×D4—862no—
456C4×D4—862no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—868no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4—861no—
470C2×C4⋊C4C22⋊D4311yescharacteristic
471C2×C4⋊C4C22⋊D4311yescharacteristic
472C2×C4⋊C4C22⋊D4311yescharacteristic
473C2×C4⋊C4C22×D4311yescharacteristic
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C42C22×D4311yescharacteristic
485C2×C42C22×D4311yescharacteristic
486C2×C42C22×D4311yescharacteristic
487#107—862no—
488#106—862no—
489#106—862no—
490C4⋊C8—862no—
491#102—862no—
492#102—862no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—862no—
497#97—862no—
498#95—21no—
499#95—21no—
500C24—21no—
501C24—861no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—41no—
505C2×Q8—864no—
506C2×Q8—3441no—
507C2×Q8—3441no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—432no—
514C2×D4—432no—
515C2×D4—432no—
516C2×D4—861no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4Q8×D4312yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—864no—
527C22×C4—864no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—864no—
532C22×C4—3441no—
533C22×C4—3441no—
534C22×C4—3441no—
535C22×C4—3441no—
536C22×C4—1722no—
537C22×C4—1722no—
538C22×C4C2×C22⋊D4311yescharacteristic
539C22×C4C2×C22⋊D4311yescharacteristic
540C22×C4C2×C22⋊D4311yescharacteristic
541C22×C4C2×C22⋊D4311yescharacteristic
542C22×C4C2×C22⋊D4311yescharacteristic
543C22×C4C2×C22⋊D4311yescharacteristic
544C22×C4C23×D4311yescharacteristic
545D8—868no—
546C2×C8—432no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8—861no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—81no—
571C4⋊C4—432no—
572C4⋊C4—432no—
573C4⋊C4—432no—
574C4⋊C4—864no—
575C4⋊C4—864no—
576C4⋊C4—864no—
577C4⋊C4—864no—
578C4⋊C4—864no—
579C4⋊C4—861no—
580C4⋊C4—861no—
581C4⋊C4—861no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—81no—
586C22⋊C4—81no—
587C22⋊C4—864no—
588C22⋊C4—864no—
589C22⋊C4—864no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42D4×D4312yes—
595C42D4×D4312yes—
596C23—22no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—862no—
604C23—862no—
605C23—862no—
606C23—1721no—
607C23—1721no—
608C23—1721no—
609C23—1721no—
610C23C22×C22⋊D4311yescharacteristic
611Q8—44no—
612Q8—3444no—
613D4—22no—
614D4—22no—
615D4—41no—
616D4—41no—
617D4—434no—
618D4—862no—
619D4—862no—
620D4—862no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—3444no—
650C2×C4—3444no—
651C2×C4—1728no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4#1306329312yes—
659C2×C4#1306329312yes—
660C2×C4#1306335112yes—
661C2×C4C2×D4×D4311yescharacteristic
662C2×C4C2×D4×D4311yescharacteristic
663C2×C4C2×Q8×D4311yescharacteristic
664C2×C4#41×D4311yescharacteristic
665C2×C4#1306337211yescharacteristic
666C2×C4#1306337311yescharacteristic
667C8—862no—
668C8—1721no—
669C8—1721no—
670C8—1721no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22—81no—
678C22—864no—
679C22—1722no—
680C22—1722no—
681C22—1722no—
682C22—1722no—
683C22—1722no—
684C22—1722no—
685C22C2×#1306329311yescharacteristic
686C22#1458355611yescharacteristic
687C22Q8×C22⋊D4311yescharacteristic
688C22C2×#1306335111yescharacteristic
689C22#1458369711yescharacteristic
690C22#1458370211yescharacteristic
691C22#1458370711yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—1722no—
702C4—1722no—
703C4—1722no—
704C4C22⋊Q8×D4311yescharacteristic
705C4#1458347211yescharacteristic
706C4#1458355911yescharacteristic
707C4#1458356211yescharacteristic
708C2—82no—
709C2—1724no—
710C2#1913795611yescharacteristic
711C2#1914384511yescharacteristic
712C2#1914389611yescharacteristic
713C2#1914729811yescharacteristic
714C2#1914741611yescharacteristic
715C2#1914749011yescharacteristic
716C2#1914754911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2538C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
hypercenter#2538D43
hypocenterC43#24347
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2538

Complements

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

NH ≅ G/Ntype
1. C2×#14583609C2semidirect
2. C2×#14583199C2semidirect
4. #19135933C2semidirect
5. #19135928C2semidirect
6. #19135741C2semidirect
7. #19135731C2semidirect
8. #19135563C2semidirect
9. #19135536C2semidirect
12. #19134855C2semidirect
13. #19134841C2semidirect
14. #19134592C2semidirect
15. C43×#2538C2semidirect
70. C2×#10621882Q8semidirect
303. D172C22⋊Q8semidirect
353. #2538D43semidirect
421. C43#24347semidirect

Maximal subgroups

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

subgroupindex
C2×#145836092
C2×#145831992
C2×#145830092
#191359332
#191359282
#191357412
#191357312
#191355632
#191355362
#191349462
#191348552
#191348412
#191345922
C43×#25382
#2434743