Finite Group Databasebeta

← #25101734

Subgroups — #25101734

Order 11008.

1150 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583522C211yesmaximal, characteristic
2C2×#14582957C211yesmaximal, characteristic, complemented
3#19136952C211yesmaximal, characteristic, complemented
4#19135545C211yesmaximal, characteristic, complemented
5#19135541C211yesmaximal, characteristic, complemented
6#19135524C211yesmaximal, characteristic, complemented
7#19135524C211yesmaximal, characteristic, complemented
8#19134915C211yesmaximal, characteristic
9#19134912C211yesmaximal, characteristic
10#19134908C211yesmaximal, characteristic, complemented
11#19134427C211yesmaximal, characteristic, complemented
12#19134419C211yesmaximal, characteristic, complemented
13#103×Dic43C211yesmaximal, characteristic, complemented
14#19134409C211yesmaximal, characteristic, complemented
15C43×#1872C211yesmaximal, characteristic, complemented
16#14583522—24no—
17#14583522C418yescomplemented
18C2×#13063324C2211yescharacteristic
19C2×#13063320—21no—
20C2×#13063314C2211yescharacteristic
21C2×#13063311—21no—
22C2×#13063307—21no—
23C2×#13063305—21no—
24C2×#13063299C2211yescharacteristic
25C2×Q8×Dic43C2211yescharacteristic
26C2×#13063287C2211yescharacteristic
27C2×#13063284C2211yescharacteristic
28C2×#13063284C2211yescharacteristic
29#14582957—24no—
30C2×Dic43⋊C8C2211yescharacteristic
31C2×Dic43⋊C8C2211yescharacteristic
32C2×#13063249C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063245C2211yescharacteristic
37C2×#13063245C2211yescharacteristic
38C2×C22⋊(C43⋊C8)C2211yescharacteristic
39C2×#13063235C2211yescharacteristic
40C2×C8×Dic43C2211yescharacteristic
41C4⋊C4×Dic43—21no—
42C4⋊C4×Dic43—21no—
43C4⋊C4×Dic43C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4⋊C4×Dic43C2211yescharacteristic
47C4×C22⋊Dic43—21no—
48C4×C22⋊Dic43—21no—
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C22⋊Q8×C43C2211yescharacteristic
56C22×C4⋊C4×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86—21no—
63C22×D172C2311yescharacteristic
64C22×C22⋊D43—21no—
65C22×C4×D43—21no—
66C22×C43⋊C8C2311yescharacteristic
67C22×C43⋊C8C2311yescharacteristic
68#13063324—22no—
69#13063324C2×C414yescomplemented
70#13063320—28no—
71#13063314—22no—
72#13063314C2×C414yescomplemented
73#13063311—28no—
74#13063307—28no—
75#13063305—28no—
76#13063299—22no—
77#13063299C2×C414yes—
78Q8×Dic43—22no—
79Q8×Dic43C2×C414yescomplemented
80#13063287—22no—
81#13063287C2×C414yescomplemented
82#13063284—22no—
83#13063284—22no—
84#13063284C2×C414yes—
85#13063284D414yes—
86C2×C4⋊Dic43—21no—
87C2×C4⋊Dic43D411yescharacteristic
88C2×C4⋊Dic43D411yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
93C2×C22⋊Dic43—21no—
94C2×C22⋊Dic43D411yescharacteristic
95C2×C22⋊Dic43D411yescharacteristic
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43C2311yescharacteristic
107C2×C4×Dic43C2311yescharacteristic
108Dic43⋊C8—22no—
109Dic43⋊C8—22no—
110#13063249—22no—
111#13063249—22no—
112#13063247—22no—
113#13063247—22no—
114#13063245—22no—
115#13063245—22no—
116C22⋊(C43⋊C8)—22no—
117#13063235—22no—
118C8×Dic43—22no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×Q8×C43C2311yescharacteristic
124C23×C4×C43—21no—
125C23×C4×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128C22⋊Q8×C43—22no—
129C22⋊Q8×C43C2×C414yes—
130C2×C4⋊C4×C43—21no—
131C2×C4⋊C4×C43—21no—
132C2×C4⋊C4×C43—22no—
133C2×C4⋊C4×C43—22no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C22⋊C4×C43—21no—
138#103×C43—22no—
139#103×C43—22no—
140C22⋊C8×C43—22no—
141C24×C43C2×D411yescharacteristic
142C23×D43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C22×C412yes—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—24no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—81no—
159C22×C4×C43—81no—
160C22×C4×C43C22×C412yes—
161C22×C4×C43C2×D412yes—
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2411yescharacteristic
164C2×C22⋊D43—24no—
165C2×C22⋊D43—81no—
166C2×C22⋊D43—81no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172C22×C412yes—
180C2×C4×D43—24no—
181C2×C4×D43—81no—
182C2×C4×D43—81no—
183C2×Dic86—24no—
184C2×Dic86—81no—
185C2×Dic86—81no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C4⋊C4×C43—24no—
193C4⋊C4×C43—24no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43C22×C412yes—
198C4⋊C4×C43#4112yes—
199C4⋊C4×C43#4112yes—
200C22⋊C4×C43—24no—
201C22⋊Dic43—24no—
202C22⋊Dic43C22⋊C414yes—
203C22⋊Dic43C22⋊C414yes—
204(C2×D43)⋊C4—24no—
205(C2×D43)⋊C4—24no—
206(C2×D43)⋊C4—24no—
207(C2×D43)⋊C4—24no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—24no—
212C4⋊Dic43C22⋊C414yes—
213C4⋊Dic43C22⋊C414yes—
214C4⋊Dic43C22×C412yes—
215C4⋊Dic43#4112yes—
216C4⋊Dic43#4112yes—
217Dic43⋊C4—24no—
218C4×Dic43—24no—
219C4×Dic43—24no—
220C4×Dic43—81no—
221C4×Dic43—81no—
222C4×Dic43—81no—
223C4×Dic43—81no—
224C4×Dic43C22×C412yes—
225C4×Dic43C22×C412yes—
226C4×Dic43C2×D412yes—
227C4×Dic43C2×D412yes—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43C2×C22⋊C412yes—
241C23×C43C22×D411yescharacteristic
242C22×D43—22no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248C22×D43—41no—
249Q8×C43—22no—
250Q8×C43—22no—
251Q8×C43—41no—
252Q8×C43—41no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—41no—
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—84no—
272C2×C4×C43C2×C22⋊C412yes—
273C2×C4×C43C23×C411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C22⋊D43—84no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—22no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43C2×C22⋊C412yes—
298C2×Dic43C2×C22⋊C412yes—
299C2×Dic43C2×C22⋊C412yes—
300C2×Dic43C2×C22⋊C412yes—
301D172—22no—
302D172—22no—
303D172—41no—
304D172—41no—
305C4×D43—84no—
306Dic86—84no—
307C8×C43—41no—
308C8×C43—41no—
309C43⋊C8—41no—
310C43⋊C8—41no—
311#21397—431nomaximal, Sylow
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43C22×C22⋊C411yescharacteristic
320C22×C43#52511yescharacteristic
321C22×C43#52511yescharacteristic
322C22×C43#57611yescharacteristic
323C22×C43#57711yescharacteristic
324C22×C43#57711yescharacteristic
325C22×C43#57811yescharacteristic
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—42no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C4×C43—22no—
334C4×C43—42no—
335C4×C43—42no—
336C4×C43—42no—
337C4×C43—42no—
338C4×C43C4×#4111yescharacteristic
339C4×C43C4×#4111yescharacteristic
340C4×C43#53211yescharacteristic
341C4×C43#53211yescharacteristic
342Dic43—22no—
343Dic43—22no—
344Dic43—22no—
345Dic43—22no—
346Dic43—42no—
347Dic43—42no—
348Dic43—42no—
349C2×#542—431no—
350C2×#433—431no—
351#2274—431no—
352#1988—431no—
353#1987—431no—
354#1983—431no—
355#1983—431no—
356#1875—431no—
357#1874—431no—
358#1873—431no—
359#1872D4311yescharacteristic, complemented
360#1763—431no—
361#1762—431no—
362C4×#103—431no—
363C4×#102—431no—
364C2×C43—42no—
365C2×C43#229711yescharacteristic
366C2×C43#289711yescharacteristic
367C2×C43#289811yescharacteristic
368C2×C43#311811yescharacteristic
369C2×C43#312111yescharacteristic
370C2×C43#312411yescharacteristic
371C2×C43#312511yescharacteristic
372D43—82no—
373#542—438no—
374#542—864no—
375C2×C4⋊Q8—431no—
376C2×#126—861no—
377C2×#124—431no—
378C2×#124—861no—
379C2×#123—861no—
380C2×C22⋊Q8—861no—
381C2×C22⋊Q8C2×D4311yescharacteristic
382C2×#121—431no—
383C2×C4×Q8—431no—
384C2×C4×D4—431no—
385C2×#117—431no—
386C2×#117—431no—
387C22×C4⋊C4C2×D4311yescharacteristic
388#433—864no—
389C2×C4⋊C8—431no—
390C2×C4⋊C8—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103C2×D4311yescharacteristic
394C2×#103C2×D4311yescharacteristic
395C2×#102—431no—
396C2×#102—431no—
397C2×#102—431no—
398C2×#102—431no—
399C2×C22⋊C8—431no—
400C2×C22⋊C8C2×D4311yescharacteristic
401C2×#97—431no—
402C2×C4×C8—431no—
403C4×C4⋊C4—431no—
404C4×C4⋊C4—431no—
405C4×C4⋊C4—431no—
406C4×C4⋊C4—431no—
407C4×C4⋊C4—861no—
408C4×C4⋊C4—861no—
409C4×C22⋊C4—861no—
410C4×C22⋊C4—861no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340C2×D4311yescharacteristic
418#340C2×D4311yescharacteristic
419C43#2139711yescharacteristic, complemented, Sylow
420C22×Q8—861no—
421C22×Q8C22×D4311yescharacteristic
422C22×D4—431no—
423C22×D4—861no—
424C23×C4—21no—
425C23×C4—861no—
426C23×C4C22×D4311yescharacteristic
427C22×C8—431no—
428C22×C8—431no—
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C4⋊Q8—434no—
432C4⋊Q8—862no—
433#126—868no—
434#124—434no—
435#124—862no—
436#124—868no—
437#123—868no—
438C22⋊Q8—22no—
439C22⋊Q8—868no—
440C22⋊Q8C4×D4314yes—
441#121—434no—
442#121—862no—
443C4×Q8—434no—
444C4×Q8—862no—
445C4×D4—434no—
446C4×D4—862no—
447#117—434no—
448#117—434no—
449#117—862no—
450#117—862no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—22no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4C22×D4311yescharacteristic
463C2×C4⋊C4C22×D4311yescharacteristic
464C2×C4⋊C4C22×D4311yescharacteristic
465C2×C22⋊C4—21no—
466C2×C22⋊C4—431no—
467C2×C22⋊C4—431no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C22⋊C4—861no—
473C2×C42—431no—
474C2×C42—431no—
475C2×C42—861no—
476C2×C42—861no—
477C2×C42—861no—
478C2×C42—861no—
479C2×C42—861no—
480C2×C42—861no—
481C4⋊C8—862no—
482C4⋊C8—862no—
483#103—22no—
484#103—22no—
485#103—862no—
486#103—862no—
487#102—862no—
488#102—862no—
489#102—862no—
490#102—862no—
491C22⋊C8—22no—
492C22⋊C8—862no—
493#97—862no—
494C4×C8—862no—
495#95—861no—
496#95—861no—
497#95—861no—
498#95—861no—
499C24—861no—
500C24D4×D4311yescharacteristic
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—864no—
507C2×Q8—3441no—
508C2×Q8—3441no—
509C2×Q8C2×C4×D4312yes—
510C2×D4—432no—
511C2×D4—864no—
512C2×D4—861no—
513C2×D4—861no—
514C2×D4—861no—
515C2×D4—861no—
516C2×D4—861no—
517C2×D4—3441no—
518C2×D4—3441no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—864no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4C2×C4×D4312yes—
541C22×C4D4×D4311yescharacteristic
542C22×C4D4×D4312yes—
543C22×C4C23×D4311yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—434no—
562C4⋊C4—434no—
563C4⋊C4—432no—
564C4⋊C4—432no—
565C4⋊C4—432no—
566C4⋊C4—864no—
567C4⋊C4—864no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4C2×C4×D4312yes—
572C4⋊C4#1062190012yes—
573C4⋊C4#1062190012yes—
574C22⋊C4—24no—
575C22⋊C4—434no—
576C22⋊C4—434no—
577C22⋊C4—864no—
578C22⋊C4—864no—
579C22⋊C4—864no—
580C22⋊C4—864no—
581C22⋊C4—864no—
582C42—432no—
583C42—432no—
584C42—432no—
585C42—432no—
586C42—864no—
587C42—864no—
588C42—3441no—
589C42—3441no—
590C42—3441no—
591C42—3441no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—862no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23C22⋊C4×D4312yes—
606C23C2×D4×D4311yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—3444no—
612D4—862no—
613D4—862no—
614D4—3444no—
615D4—1721no—
616D4—1721no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—84no—
636C2×C4—432no—
637C2×C4—432no—
638C2×C4—432no—
639C2×C4—432no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—862no—
649C2×C4—862no—
650C2×C4—862no—
651C2×C4—3444no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4C22⋊C4×D4312yes—
659C2×C4C22×C4×D4311yescharacteristic
660C2×C4C2×D4×D4311yescharacteristic
661C2×C4#41×D4311yescharacteristic
662C2×C4#41×D4311yescharacteristic
663C2×C4C2×#1062190011yescharacteristic
664C2×C4C2×#1062190011yescharacteristic
665C8—41no—
666C8—41no—
667C8—1721no—
668C8—1721no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—3441no—
677C22—3441no—
678C22—3441no—
679C22—3441no—
680C22—1722no—
681C22—1722no—
682C22—1722no—
683C22C2×C22⋊C4×D4311yescharacteristic
684C22#1458340511yescharacteristic
685C22#1458340711yescharacteristic
686C22#1458370311yescharacteristic
687C22#1458370511yescharacteristic
688C22#1458370811yescharacteristic
689C22#1458371211yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—862no—
696C4—862no—
697C4—862no—
698C4—862no—
699C4—1722no—
700C4—1722no—
701C4—1722no—
702C4C4×#1062190011yescharacteristic
703C4C4×#1062190011yescharacteristic
704C4#1458344411yescharacteristic
705C4#1458344411yescharacteristic
706C2—42no—
707C2—3442no—
708C2#1913708011yescharacteristic
709C2#1914311911yescharacteristic
710C2#1914312311yescharacteristic
711C2#1914478011yescharacteristic
712C2#1914482511yescharacteristic
713C2#1914486011yescharacteristic
714C2#1914486711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1872C2
socleC23×C43C22×D4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenter#1872D43
hypocenterC43#21397
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
2. C2×#14582957C2semidirect
3. #19136952C2semidirect
4. #19135545C2semidirect
5. #19135541C2semidirect
6. #19135524C2semidirect
7. #19135524C2semidirect
10. #19134908C2semidirect
11. #19134427C2semidirect
12. #19134419C2semidirect
13. #103×Dic43C2semidirect
14. #19134409C2semidirect
15. C43×#1872C2semidirect
17. #14583522C4semidirect
69. #13063324C2×C4semidirect
72. #13063314C2×C4semidirect
79. Q8×Dic43C2×C4semidirect
81. #13063287C2×C4semidirect
359. #1872D43semidirect
419. C43#21397semidirect

Maximal subgroups

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

subgroupindex
C2×#145835222
C2×#145829572
#191369522
#191355452
#191355412
#191355242
#191349152
#191349122
#191349082
#191344272
#191344192
#103×Dic432
#191344092
C43×#18722
#2139743