Finite Group Databasebeta

← #25150212

Subgroups — #25150212

Order 11008.

1052 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583509C211yesmaximal, characteristic
2C2×#14583277C211yesmaximal, characteristic, complemented
3C2×#14583266C211yesmaximal, characteristic, complemented
4#19140365C211yesmaximal, characteristic
5#19135605C211yesmaximal, characteristic
6#19135603C211yesmaximal, characteristic
7#19135603C211yesmaximal, characteristic
8#19135558C211yesmaximal, characteristic, complemented
9#19135413C211yesmaximal, characteristic, complemented
10#19134938C211yesmaximal, characteristic, complemented
11#19134937C211yesmaximal, characteristic, complemented
12#19134934C211yesmaximal, characteristic, complemented
13#19134933C211yesmaximal, characteristic, complemented
14#19134363C211yesmaximal, characteristic
15C43×#2001C211yesmaximal, characteristic
16C22×Dic172C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C22×#10621885C2211yescharacteristic
19#14583509—24no—
20#14583509—24no—
21C2×#13063323C2211yescharacteristic
22C2×#13063323C2211yescharacteristic
23C2×#13063318—21no—
24C2×#13063318—21no—
25C2×#13063316—21no—
26C2×#13063316C2211yescharacteristic
27C2×#13063315—21no—
28C2×#13063304C2211yescharacteristic
29C2×#13063304C2211yescharacteristic
30C2×Q8×Dic43C2211yescharacteristic
31C2×#13063290C2211yescharacteristic
32C2×#13063284C2211yescharacteristic
33#14583277—24no—
34#14583266—24no—
35C2×#13063250C2211yescharacteristic
36C2×#13063250C2211yescharacteristic
37C2×#13063249C2211yescharacteristic
38C2×#13063249C2211yescharacteristic
39C2×#13063248C2211yescharacteristic
40C2×#13063248C2211yescharacteristic
41C2×C22⋊(C43⋊C8)C2211yescharacteristic
42C2×#13063235C2211yescharacteristic
43C2×C8×Dic43C2211yescharacteristic
44#14582832—21no—
45#14582832—21no—
46#14582827—21no—
47#14582827—21no—
48#14582806C2211yescharacteristic
49#14582804C2211yescharacteristic
50#14582764C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×Q16×C43C2211yescharacteristic
57C2×C22⋊Q8×C43C2211yescharacteristic
58C2×C22⋊Q8×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C2×C22⋊C8×C43C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×Dic86C2311yescharacteristic
65C2×Dic172—22no—
66C2×Dic172—22no—
67C2×Dic172—41no—
68C2×#10621885—22no—
69C2×#10621885—22no—
70C2×#10621885—22no—
71C2×#10621885—22no—
72C2×#10621885—41no—
73C2×#10621885—41no—
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063323—22no—
77#13063323—22no—
78#13063323—22no—
79#13063323D414yes—
80#13063318—28no—
81#13063318—28no—
82#13063316—28no—
83#13063316—22no—
84#13063316D414yes—
85#13063315—28no—
86#13063304—22no—
87#13063304—22no—
88#13063304—41no—
89#13063304—41no—
90Q8×Dic43—22no—
91Q8×Dic43—22no—
92#13063290—22no—
93#13063290—22no—
94#13063284—22no—
95#13063284—22no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43—21no—
98C2×C4⋊Dic43D411yescharacteristic
99C2×C4⋊Dic43D411yescharacteristic
100C2×C4⋊Dic43C2311yescharacteristic
101C2×C4⋊Dic43C2311yescharacteristic
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—21no—
107C2×Dic43⋊C4—21no—
108C2×Dic43⋊C4—21no—
109C2×Dic43⋊C4—21no—
110C2×C22⋊Dic43—21no—
111C2×C22⋊Dic43—21no—
112C2×C22⋊Dic43D411yescharacteristic
113C2×C22⋊Dic43D411yescharacteristic
114C2×C4×Dic43—21no—
115C2×C4×Dic43—21no—
116C2×C4×Dic43C2311yescharacteristic
117C2×C4×Dic43C2311yescharacteristic
118#13063250—22no—
119#13063250—41no—
120#13063249—22no—
121#13063249—41no—
122#13063248—22no—
123#13063248—41no—
124C22⋊(C43⋊C8)—22no—
125#13063235—22no—
126C8×Dic43—22no—
127C43⋊#95—21no—
128C43⋊#95—21no—
129C43⋊#95—21no—
130C43⋊#95—21no—
131C43⋊#95—21no—
132C43⋊#95—21no—
133C22×Q8×C43C2311yescharacteristic
134C22×Q8×C43C2311yescharacteristic
135C23×C4×C43C2311yescharacteristic
136C2×Q16×C43—22no—
137C2×Q16×C43—22no—
138C2×Q16×C43—41no—
139C22×C8×C43C2311yescharacteristic
140C22×C8×C43C2311yescharacteristic
141C22⋊Q8×C43—22no—
142C22⋊Q8×C43—22no—
143C22⋊Q8×C43—41no—
144C22⋊Q8×C43—41no—
145C2×C4⋊C4×C43—21no—
146C2×C4⋊C4×C43—21no—
147C2×C4⋊C4×C43C2311yescharacteristic
148C2×C4⋊C4×C43C2311yescharacteristic
149C2×C22⋊C4×C43—21no—
150C2×C22⋊C4×C43—21no—
151#103×C43—22no—
152#103×C43—41no—
153C22⋊C8×C43—22no—
154C24×C43C2×D411yescharacteristic
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C2×Q8×C43—21no—
158C2×Q8×C43—21no—
159C2×Q8×C43—21no—
160C2×Q8×C43—21no—
161C2×Q8×C43—21no—
162C2×Q8×C43—21no—
163C2×Q8×C43—21no—
164C2×Q8×C43—21no—
165C2×Q8×C43—21no—
166C2×Q8×C43C2×D412yes—
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×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43C2×D411yescharacteristic
178C22×C4×C43C2411yescharacteristic
179C22×Dic43—21no—
180C22×Dic43—21no—
181C22×Dic43—21no—
182C22×Dic43—21no—
183C22×Dic43C2×D411yescharacteristic
184C22×Dic43C2×D411yescharacteristic
185C22×Dic43C2×D411yescharacteristic
186C22×Dic43C2×D411yescharacteristic
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—21no—
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86—21no—
195C2×Dic86—21no—
196C2×Dic86—21no—
197C2×Dic86—21no—
198C2×Dic86C2×D412yes—
199Q16×C43—44no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43—21no—
205C2×C8×C43#4112yes—
206C4⋊C4×C43—24no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43—42no—
211C4⋊C4×C43C2×D412yes—
212C22⋊C4×C43—24no—
213C22⋊C4×C43—42no—
214C22⋊Dic43—24no—
215C22⋊Dic43—22no—
216C22⋊Dic43—22no—
217C22⋊Dic43—42no—
218#10621885—44no—
219#10621885—44no—
220C4⋊Dic43—24no—
221C4⋊Dic43—21no—
222C4⋊Dic43—24no—
223C4⋊Dic43—22no—
224C4⋊Dic43—22no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227C4⋊Dic43C2×D412yes—
228Dic43⋊C4—24no—
229Dic43⋊C4—24no—
230Dic43⋊C4—24no—
231Dic43⋊C4—24no—
232Dic43⋊C4—24no—
233Dic43⋊C4—42no—
234Dic43⋊C4—42no—
235Dic43⋊C4—42no—
236C4×Dic43—24no—
237C4×Dic43—24no—
238C4×Dic43—21no—
239C4×Dic43—21no—
240C4×Dic43C2×D412yes—
241C4×Dic43C2×D412yes—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8—21no—
246C2×C43⋊C8—21no—
247C2×C43⋊C8#4112yes—
248Dic172—44no—
249C23×C43—21no—
250C23×C43—21no—
251C23×C43—21no—
252C23×C43—21no—
253C23×C43—21no—
254C23×C43—21no—
255C23×C43—21no—
256C23×C43C22×D411yescharacteristic
257Q8×C43—22no—
258Q8×C43—22no—
259Q8×C43—41no—
260Q8×C43—41no—
261Q8×C43—41no—
262Q8×C43—41no—
263Q8×C43—41no—
264Q8×C43—41no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
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—41no—
282C2×C4×C43—41no—
283C2×C4×C43—41no—
284C2×C4×C43C22×D411yescharacteristic
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C2×#4111yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43H(5,𝔽2)11yescharacteristic
289C2×C4×C43H(5,𝔽2)11yescharacteristic
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—22no—
297C2×Dic43—22no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310C2×Dic43—41no—
311C2×Dic43—41no—
312C2×Dic43#12012yes—
313C2×Dic43#12012yes—
314Dic86—22no—
315Dic86—22no—
316Dic86—41no—
317Dic86—41no—
318Dic86—41no—
319Dic86—41no—
320Dic86—41no—
321Dic86—41no—
322C8×C43—22no—
323C8×C43—41no—
324C43⋊C8—22no—
325C43⋊C8—41no—
326#25609—431nomaximal, Sylow
327C22×C43—41no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43—41no—
331C22×C43—41no—
332C22×C43—41no—
333C22×C43—41no—
334C22×C43C2×#12011yescharacteristic
335C22×C43#53211yescharacteristic
336C22×C43#53511yescharacteristic
337C22×C43#57811yescharacteristic
338C22×C43#57811yescharacteristic
339C22×C43#57811yescharacteristic
340C22×C43#57811yescharacteristic
341C4×C43—41no—
342C4×C43—42no—
343C4×C43—42no—
344C4×C43—81no—
345C4×C43—81no—
346C4×C43#54611yescharacteristic
347C4×C43#54611yescharacteristic
348C4×C43#55011yescharacteristic
349C4×C43#55011yescharacteristic
350Dic43—22no—
351Dic43—22no—
352Dic43—42no—
353Dic43—41no—
354Dic43—41no—
355Dic43—42no—
356Dic43—81no—
357Dic43—81no—
358C2×#541—431no—
359C2×#494—431no—
360C2×#491—431no—
361#2621—431no—
362#2001—431no—
363#2001—431no—
364#2001—431no—
365#2001D4311yescharacteristic
366#1991—431no—
367#1960—431no—
368#1878—431no—
369#1878—431no—
370#1878—431no—
371#1878—431no—
372#1750—431no—
373C2×C43—81no—
374C2×C43#243111yescharacteristic
375C2×C43#301111yescharacteristic
376C2×C43#301111yescharacteristic
377C2×C43#317711yescharacteristic
378C2×C43#317711yescharacteristic
379C2×C43#322311yescharacteristic
380C2×C43#322311yescharacteristic
381C22×Q16—431no—
382C22×Q16—431no—
383C22×Q16—431no—
384C22×Q16C2×D4311yescharacteristic
385#541—864no—
386#541—864no—
387C2×C4⋊Q8—431no—
388C2×C4⋊Q8—431no—
389C2×#126—861no—
390C2×#126—861no—
391C2×#125—431no—
392C2×#125—861no—
393C2×#125—861no—
394C2×C22⋊Q8—431no—
395C2×C22⋊Q8—431no—
396C2×C22⋊Q8C2×D4311yescharacteristic
397C2×C22⋊Q8C2×D4311yescharacteristic
398C2×C4×Q8—431no—
399C2×C4×Q8—431no—
400C2×#117—431no—
401#494—864no—
402#491—864no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103—431no—
407C2×#103—431no—
408C2×#103—431no—
409C2×#103C2×D4311yescharacteristic
410C2×#103C2×D4311yescharacteristic
411C2×C22⋊C8—431no—
412C2×C22⋊C8C2×D4311yescharacteristic
413C2×#97—431no—
414C2×C4×C8—431no—
415#398—861no—
416#398—861no—
417#397—861no—
418#397—861no—
419#391—431no—
420#391—431no—
421#382—431no—
422#340—431no—
423#340—431no—
424#340—431no—
425#340C2×D4311yescharacteristic
426#336—431no—
427#336—431no—
428C43#2560911yescharacteristic, complemented, Sylow
429C22×Q8—431no—
430C22×Q8—431no—
431C22×Q8C22×D4311yescharacteristic
432C22×Q8C22×D4311yescharacteristic
433C23×C4C22×D4311yescharacteristic
434C2×Q16—22no—
435C2×Q16—22no—
436C2×Q16—41no—
437C2×Q16—862no—
438C2×Q16—862no—
439C2×Q16—862no—
440C2×Q16—862no—
441C2×Q16—862no—
442C2×Q16—862no—
443C2×Q16—1721no—
444C2×Q16—1721no—
445C2×Q16—1721no—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8C22×D4311yescharacteristic
449C22×C8C22×D4311yescharacteristic
450C4⋊Q8—434no—
451C4⋊Q8—862no—
452C4⋊Q8—862no—
453C4⋊Q8—862no—
454#126—868no—
455#126—868no—
456#125—434no—
457#125—862no—
458#125—868no—
459#125—868no—
460C22⋊Q8—22no—
461C22⋊Q8—22no—
462C22⋊Q8—41no—
463C22⋊Q8—41no—
464C22⋊Q8—862no—
465C22⋊Q8—862no—
466C22⋊Q8—1721no—
467C22⋊Q8—1721no—
468C4×Q8—862no—
469C4×Q8—862no—
470C4×Q8—862no—
471C4×Q8—862no—
472#117—862no—
473#117—862no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—861no—
488C2×C4⋊C4—861no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4C22×D4311yescharacteristic
491C2×C4⋊C4C22×D4311yescharacteristic
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—431no—
495C2×C22⋊C4—431no—
496C2×C22⋊C4—861no—
497C2×C22⋊C4—861no—
498C2×C42—431no—
499C2×C42—431no—
500C2×C42—861no—
501C2×C42—861no—
502#103—22no—
503#103—41no—
504#103—862no—
505#103—862no—
506#103—862no—
507#103—1721no—
508#103—1721no—
509#103—1721no—
510C22⋊C8—22no—
511C22⋊C8—862no—
512#97—862no—
513C4×C8—862no—
514#95—861no—
515#95—861no—
516#95—861no—
517#95—861no—
518#95—861no—
519#95—861no—
520C24D4×D4311yescharacteristic
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—432no—
533C2×Q8—861no—
534C2×Q8—861no—
535C2×Q8—861no—
536C2×Q8—861no—
537C2×Q8—861no—
538C2×Q8—861no—
539C2×Q8—861no—
540C2×Q8—861no—
541C2×Q8—861no—
542C2×Q8—861no—
543C2×Q8—861no—
544C2×Q8D4×D4312yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—431no—
556C22×C4—431no—
557C22×C4—431no—
558C22×C4—431no—
559C22×C4—861no—
560C22×C4—861no—
561C22×C4—861no—
562C22×C4—861no—
563C22×C4D4×D4311yescharacteristic
564C22×C4C23×D4311yescharacteristic
565Q16—44no—
566Q16—1724no—
567Q16—1724no—
568Q16—1724no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—432no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8#1062190012yes—
581C4⋊C4—24no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—42no—
586C4⋊C4—432no—
587C4⋊C4—862no—
588C4⋊C4—862no—
589C4⋊C4—864no—
590C4⋊C4—864no—
591C4⋊C4—864no—
592C4⋊C4—864no—
593C4⋊C4—864no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4—861no—
597C4⋊C4—861no—
598C4⋊C4—861no—
599C4⋊C4—1722no—
600C4⋊C4—1722no—
601C4⋊C4—1722no—
602C4⋊C4D4×D4312yes—
603C22⋊C4—24no—
604C22⋊C4—42no—
605C22⋊C4—862no—
606C22⋊C4—862no—
607C22⋊C4—864no—
608C22⋊C4—1722no—
609C42—432no—
610C42—432no—
611C42—864no—
612C42—864no—
613C42—861no—
614C42—861no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×D4×D4311yescharacteristic
623Q8—22no—
624Q8—22no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—41no—
630Q8—41no—
631Q8—862no—
632Q8—862no—
633Q8—1721no—
634Q8—1721no—
635Q8—1721no—
636Q8—1721no—
637Q8—1721no—
638Q8—1721no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
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—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—432no—
659C2×C4—432no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—862no—
667C2×C4—862no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—1721no—
673C2×C4—1721no—
674C2×C4—1721no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4C2×D4×D4311yescharacteristic
683C2×C4C2×D4×D4311yescharacteristic
684C2×C4#41×D4311yescharacteristic
685C2×C4C2×#1062190011yescharacteristic
686C2×C4#1306337011yescharacteristic
687C2×C4#1306337011yescharacteristic
688C8—22no—
689C8—41no—
690C8—862no—
691C8—1721no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22#120×D4311yescharacteristic
700C22#1458344411yescharacteristic
701C22#1458346411yescharacteristic
702C22#1458371211yescharacteristic
703C22#1458371311yescharacteristic
704C22#1458371511yescharacteristic
705C22#1458371511yescharacteristic
706C4—41no—
707C4—42no—
708C4—42no—
709C4—81no—
710C4—81no—
711C4—862no—
712C4—862no—
713C4—3441no—
714C4—3441no—
715C4—1722no—
716C4—1721no—
717C4—1722no—
718C4—1721no—
719C4#1458353611yescharacteristic
720C4#1458353811yescharacteristic
721C4#1458356711yescharacteristic
722C4#1458356911yescharacteristic
723C2—81no—
724C2#1913820911yescharacteristic
725C2#1914388511yescharacteristic
726C2#1914388711yescharacteristic
727C2#1914524711yescharacteristic
728C2#1914524911yescharacteristic
729C2#1914567411yescharacteristic
730C2#1914567611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2001C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
hypercenter#2001D43
hypocenterC43#25609
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2001

Complements

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

NH ≅ G/Ntype
2. C2×#14583277C2semidirect
3. C2×#14583266C2semidirect
8. #19135558C2semidirect
9. #19135413C2semidirect
10. #19134938C2semidirect
11. #19134937C2semidirect
12. #19134934C2semidirect
13. #19134933C2semidirect
428. C43#25609semidirect

Maximal subgroups

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

subgroupindex
C2×#145835092
C2×#145832772
C2×#145832662
#191403652
#191356052
#191356032
#191355582
#191354132
#191349382
#191349372
#191349342
#191349332
#191343632
C43×#20012
#2560943