Finite Group Databasebeta

← #25144158

Subgroups — #25144158

Order 11008.

1052 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583108C211yesmaximal, characteristic, complemented
2C2×#14583057C211yesmaximal, characteristic
3C2×#14583054C211yesmaximal, characteristic
4C2×#14582993C211yesmaximal, characteristic, complemented
5#19138190C211yesmaximal, characteristic
6#19137427C211yesmaximal, characteristic
7#19135985C211yesmaximal, characteristic, complemented
8#19135798C211yesmaximal, characteristic
9#19135696C211yesmaximal, characteristic, complemented
10#19135453C211yesmaximal, characteristic, complemented
11#19135204C211yesmaximal, characteristic
12#19134937C211yesmaximal, characteristic, complemented
13#19134933C211yesmaximal, characteristic, complemented
14#19134850C211yesmaximal, characteristic, complemented
15C43×#2036C211yesmaximal, characteristic
16C23×Dic86C2211yescharacteristic
17C22×Dic172C2211yescharacteristic
18C22×Dic172C2211yescharacteristic
19C22×#10621885C2211yescharacteristic
20C22×#10621885C2211yescharacteristic
21C2×#13063323C2211yescharacteristic
22C2×#13063304C2211yescharacteristic
23C2×#13063290C2211yescharacteristic
24C2×#13063290C2211yescharacteristic
25C2×#13063290C2211yescharacteristic
26#14583108—24no—
27#14583057—24no—
28#14583054—24no—
29#14582993—24no—
30C2×#13063258C2211yescharacteristic
31C2×Dic43⋊C8C2211yescharacteristic
32C2×#13063250C2211yescharacteristic
33C2×#13063250C2211yescharacteristic
34C2×#13063248C2211yescharacteristic
35C2×#13063248C2211yescharacteristic
36C2×#13063248C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×C22⋊(C43⋊C8)C2211yescharacteristic
39C2×C8×Dic43C2211yescharacteristic
40#14582830—21no—
41#14582822—21no—
42#14582806C2211yescharacteristic
43#14582804C2211yescharacteristic
44#14582804C2211yescharacteristic
45#14582803—21no—
46#14582803—21no—
47#14582798C2211yescharacteristic
48#14582795—21no—
49#14582787—21no—
50#14582757—21no—
51C22⋊C4×Dic43—21no—
52C4×C22⋊Dic43C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×C22⋊Q8×C43C2211yescharacteristic
57C2×#107×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C43×#380C2211yescharacteristic
62C43×#340C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86—22no—
65C22×Dic86—22no—
66C22×Dic86—22no—
67C22×Dic86—22no—
68C22×Dic86—41no—
69C22×Dic86—41no—
70C22×Dic86C2311yescharacteristic
71C22×Dic86C2311yescharacteristic
72C22×Dic86C2311yescharacteristic
73C23×Dic43—21no—
74C2×Dic172—22no—
75C2×Dic172—22no—
76C2×Dic172—22no—
77C2×Dic172—22no—
78C2×Dic172—41no—
79C2×Dic172D414yes—
80C2×#10621885—22no—
81C2×#10621885—22no—
82C2×#10621885—22no—
83C2×#10621885—22no—
84C2×#10621885—22no—
85C2×#10621885—41no—
86C22×C43⋊C8C2311yescharacteristic
87C22×C43⋊C8C2311yescharacteristic
88#13063323—22no—
89#13063323—41no—
90#13063304—22no—
91#13063304—41no—
92#13063290—22no—
93#13063290—22no—
94#13063290—22no—
95#13063290—41no—
96#13063290—41no—
97#13063290—41no—
98C2×C4⋊Dic43—21no—
99C2×C4⋊Dic43C2311yescharacteristic
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4—21no—
105C2×Dic43⋊C4—21no—
106C2×C22⋊Dic43—21no—
107C2×C22⋊Dic43D411yescharacteristic
108C2×C22⋊Dic43D411yescharacteristic
109C2×C4×Dic43—21no—
110C2×C4×Dic43—21no—
111C2×C4×Dic43—21no—
112C2×C4×Dic43C2311yescharacteristic
113C2×C4×Dic43C2311yescharacteristic
114#13063258—41no—
115Dic43⋊C8—22no—
116#13063250—22no—
117#13063250—22no—
118#13063248—22no—
119#13063248—22no—
120#13063248—22no—
121#13063248D414yes—
122C22⋊(C43⋊C8)—22no—
123C8×Dic43—22no—
124C43⋊#95—21no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C43⋊#95—21no—
128C43⋊#95—21no—
129C43⋊#95—21no—
130C43⋊#95—21no—
131C43⋊#95D411yescharacteristic
132C43⋊#95D411yescharacteristic
133C22×Q8×C43C2311yescharacteristic
134C23×C4×C43C2311yescharacteristic
135C22×C8×C43C2311yescharacteristic
136C22×C8×C43C2311yescharacteristic
137C22⋊Q8×C43—22no—
138C22⋊Q8×C43—41no—
139C2×C4⋊C4×C43—21no—
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C4⋊C4×C43C2311yescharacteristic
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C22⋊C4×C43—21no—
144C2×C22⋊C4×C43—21no—
145#107×C43—22no—
146#103×C43—22no—
147#103×C43—41no—
148C22⋊C8×C43—22no—
149#95×C43—21no—
150C24×C43C2×D411yescharacteristic
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
156C2×Q8×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2411yescharacteristic
169C22×Dic43—24no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43—21no—
174C22×Dic43—42no—
175C22×Dic43—42no—
176C22×Dic43C2×D411yescharacteristic
177C22×Dic43C2×D411yescharacteristic
178C22×Dic43C2×D411yescharacteristic
179C22×Dic43C2×D411yescharacteristic
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86—24no—
192C2×Dic86—21no—
193C2×Dic86—21no—
194C2×Dic86—44no—
195C2×Dic86—44no—
196C2×Dic86—44no—
197C2×Dic86—42no—
198C2×Dic86—42no—
199C2×Dic86—44no—
200C2×Dic86C2×D412yes—
201C2×Dic86C2×D412yes—
202C2×Dic86C2×D412yes—
203C2×Dic86#4112yes—
204C2×Dic86#4112yes—
205C2×C8×C43—21no—
206C2×C8×C43—21no—
207C2×C8×C43—21no—
208C2×C8×C43—21no—
209C2×C8×C43—21no—
210C2×C8×C43C2×D412yes—
211C4⋊C4×C43—21no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43—42no—
217C4⋊C4×C43C2×D412yes—
218C22⋊C4×C43—42no—
219C22⋊C4×C43—42no—
220C22⋊Dic43—41no—
221C22⋊Dic43—42no—
222C22⋊Dic43Q1614yescomplemented
223#10621885—44no—
224#10621885—44no—
225C4⋊Dic43—21no—
226C4⋊Dic43—21no—
227C4⋊Dic43—42no—
228Dic43⋊C4—42no—
229Dic43⋊C4—42no—
230Dic43⋊C4—42no—
231Dic43⋊C4—42no—
232Dic43⋊C4—42no—
233Dic43⋊C4—42no—
234C4×Dic43—21no—
235C4×Dic43—21no—
236C4×Dic43—21no—
237C4×Dic43—21no—
238C4×Dic43—42no—
239C4×Dic43—42no—
240C4×Dic43—42no—
241C2×C43⋊C8—21no—
242C2×C43⋊C8—21no—
243C2×C43⋊C8—21no—
244C2×C43⋊C8—21no—
245C2×C43⋊C8—21no—
246C2×C43⋊C8C2×D412yes—
247Dic172—28no—
248Dic172—44no—
249C23×C43—21no—
250C23×C43—21no—
251C23×C43—21no—
252C23×C43—21no—
253C23×C43—21no—
254C23×C43—21no—
255C23×C43C2×Q1612yes—
256C23×C43C22×D411yescharacteristic
257Q8×C43—41no—
258Q8×C43—41no—
259Q8×C43—41no—
260Q8×C43—41no—
261C2×C4×C43—21no—
262C2×C4×C43—22no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
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—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×C43C22×D411yescharacteristic
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43H(5,𝔽2)11yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×Dic43—22no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—21no—
292C2×Dic43—21no—
293C2×Dic43—22no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—22no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—48no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43C2×Q1612yes—
310C2×Dic43C2×Q1612yes—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—22no—
316Dic86—22no—
317Dic86—22no—
318Dic86—48no—
319Dic86—41no—
320Dic86—41no—
321Dic86—41no—
322Dic86—41no—
323Dic86#12114yes—
324C8×C43—22no—
325C8×C43—41no—
326C43⋊C8—22no—
327C43⋊C8—41no—
328#25161—431nomaximal, Sylow
329C22×C43—22no—
330C22×C43—22no—
331C22×C43—22no—
332C22×C43—41no—
333C22×C43—41no—
334C22×C43—41no—
335C22×C43—41no—
336C22×C43#52511yescharacteristic
337C22×C43D4211yescharacteristic
338C22×C43D4211yescharacteristic
339C22×C43C22×Q1611yescharacteristic
340C22×C43#57511yescharacteristic
341C22×C43#57811yescharacteristic
342C22×C43#57811yescharacteristic
343C4×C43—41no—
344C4×C43—42no—
345C4×C43—81no—
346C4×C43—81no—
347C4×C43—81no—
348C4×C43C2×#12111yescharacteristic
349C4×C43#53811yescharacteristic
350C4×C43#54611yescharacteristic
351C4×C43#54611yescharacteristic
352Dic43—24no—
353Dic43—22no—
354Dic43—22no—
355Dic43—42no—
356Dic43—42no—
357Dic43—41no—
358Dic43—41no—
359Dic43—81no—
360C2×#462—431no—
361C2×#451—431no—
362C2×#451—431no—
363C2×C4×Q16—431no—
364#2429—431no—
365Q8×C22⋊C4—431no—
366#2068—431no—
367#2036—431no—
368#2036D4311yescharacteristic
369#2016—431no—
370#1969—431no—
371#1923—431no—
372#1878—431no—
373#1878—431no—
374#1863—431no—
375C2×C43—42no—
376C2×C43#242411yescharacteristic
377C2×C43#310411yescharacteristic
378C2×C43#312711yescharacteristic
379C2×C43#326911yescharacteristic
380C2×C43#327711yescharacteristic
381C2×C43D4×Q1611yescharacteristic
382C2×C43D4×Q1611yescharacteristic
383C23×Q8—431no—
384C22×Q16—431no—
385C22×Q16—431no—
386C22×Q16—431no—
387C22×Q16—431no—
388C2×C4⋊Q8—431no—
389C2×C22⋊Q8—431no—
390C2×C22⋊Q8C2×D4311yescharacteristic
391C2×C4×Q8—431no—
392C2×C4×Q8—431no—
393C2×C4×Q8—431no—
394#462—864no—
395#451—864no—
396#451—864no—
397C4×Q16—864no—
398C2×#107—431no—
399C2×#107C2×D4311yescharacteristic
400C2×C4⋊C8—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103—431no—
407C2×#103C2×D4311yescharacteristic
408C2×#103C2×D4311yescharacteristic
409C2×C22⋊C8—431no—
410C2×C22⋊C8C2×D4311yescharacteristic
411C2×C4×C8—431no—
412#398—861no—
413#396—861no—
414#391—431no—
415#391—431no—
416#391—431no—
417#391—861no—
418#391—861no—
419#389—431no—
420#389—861no—
421#388—861no—
422#380—861no—
423#380C2×D4311yescharacteristic
424C4×C22⋊C4—431no—
425C4×C22⋊C4—861no—
426#340—431no—
427#340C2×D4311yescharacteristic
428#336—431no—
429#336—431no—
430C43#2516111yescharacteristic, complemented, Sylow
431C22×Q8—431no—
432C22×Q8—431no—
433C22×Q8—431no—
434C22×Q8—862no—
435C22×Q8—862no—
436C22×Q8—862no—
437C22×Q8—862no—
438C22×Q8—861no—
439C22×Q8—1721no—
440C22×Q8—1721no—
441C22×Q8C22×D4311yescharacteristic
442C23×C4—861no—
443C23×C4C22×D4311yescharacteristic
444C2×Q16—434no—
445C2×Q16—862no—
446C2×Q16—862no—
447C2×Q16—862no—
448C2×Q16—862no—
449C2×Q16—862no—
450C2×Q16—862no—
451C2×Q16—862no—
452C2×Q16—862no—
453C2×Q16—862no—
454C2×Q16—1721no—
455C2×Q16—1721no—
456C22×C8—431no—
457C22×C8—431no—
458C22×C8C22×D4311yescharacteristic
459C22×C8C22×D4311yescharacteristic
460C4⋊Q8—862no—
461C4⋊Q8—1721no—
462C22⋊Q8—22no—
463C22⋊Q8—41no—
464C22⋊Q8—862no—
465C22⋊Q8—1721no—
466C4×Q8—862no—
467C4×Q8—862no—
468C4×Q8—862no—
469C4×Q8—1721no—
470C4×Q8—1721no—
471C4×Q8—1721no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4—861no—
477C2×C4⋊C4—861no—
478C2×C4⋊C4—861no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4C22×D4311yescharacteristic
482C2×C4⋊C4C22×D4311yescharacteristic
483C2×C4⋊C4C22×D4311yescharacteristic
484C2×C22⋊C4—21no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—431no—
487C2×C22⋊C4—431no—
488C2×C22⋊C4—861no—
489C2×C42—431no—
490C2×C42—431no—
491C2×C42—861no—
492C2×C42—861no—
493C2×C42—861no—
494#107—22no—
495#107—1721no—
496C4⋊C8—862no—
497#103—22no—
498#103—41no—
499#103—434no—
500#103—862no—
501#103—862no—
502#103—862no—
503#103—862no—
504#103—862no—
505C22⋊C8—22no—
506C22⋊C8—862no—
507C4×C8—862no—
508#95—21no—
509#95—431no—
510#95—431no—
511#95—861no—
512#95—861no—
513#95—861no—
514#95—861no—
515#95—861no—
516#95—861no—
517#95—861no—
518C24D4×D4311yescharacteristic
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—432no—
526C2×Q8—432no—
527C2×Q8—432no—
528C2×Q8—432no—
529C2×Q8—432no—
530C2×Q8—864no—
531C2×Q8—861no—
532C2×Q8—861no—
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×Q8—1722no—
545C2×Q8—1722no—
546C2×Q8—1724no—
547C2×Q8—1724no—
548C2×Q8—1724no—
549C2×Q8—1724no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—431no—
561C22×C4—431no—
562C22×C4—431no—
563C22×C4—431no—
564C22×C4—861no—
565C22×C4—864no—
566C22×C4—861no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4—1722no—
570C22×C4—1722no—
571C22×C4D4×D4311yescharacteristic
572C22×C4C23×D4311yescharacteristic
573Q16—868no—
574Q16—1724no—
575Q16—1724no—
576Q16—1724no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—432no—
583C2×C8—861no—
584C2×C8—861no—
585C2×C8—861no—
586C2×C8—861no—
587C2×C8—861no—
588C2×C8D4×D4312yes—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—42no—
595C4⋊C4—861no—
596C4⋊C4—861no—
597C4⋊C4—1722no—
598C4⋊C4—1722no—
599C4⋊C4—1722no—
600C4⋊C4—1722no—
601C4⋊C4—1722no—
602C4⋊C4—1722no—
603C4⋊C4—1722no—
604C4⋊C4D4×D4312yes—
605C22⋊C4—42no—
606C22⋊C4—42no—
607C22⋊C4—434no—
608C22⋊C4—1721no—
609C22⋊C4—1722no—
610C42—861no—
611C42—861no—
612C42—861no—
613C42—861no—
614C42—1722no—
615C42—1722no—
616C42—1722no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23Q16×D4312yes—
624C23C2×D4×D4311yescharacteristic
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—434no—
630Q8—862no—
631Q8—862no—
632Q8—862no—
633Q8—862no—
634Q8—862no—
635Q8—862no—
636Q8—862no—
637Q8—1728no—
638Q8—1721no—
639Q8—1721no—
640Q8—1721no—
641Q8—1721no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
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—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—432no—
662C2×C4—432no—
663C2×C4—862no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—862no—
668C2×C4—861no—
669C2×C4—862no—
670C2×C4—862no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—861no—
676C2×C4—861no—
677C2×C4—862no—
678C2×C4—1728no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4—1721no—
685C2×C4—1721no—
686C2×C4C2×D4×D4311yescharacteristic
687C2×C4C2×D4×D4311yescharacteristic
688C2×C4#41×D4311yescharacteristic
689C2×C4#41×D4311yescharacteristic
690C2×C4#1306337011yescharacteristic
691C2×C4#1306337111yescharacteristic
692C8—22no—
693C8—41no—
694C8—862no—
695C8—1721no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22#1458340711yescharacteristic
704C22#1458353111yescharacteristic
705C22#1458353311yescharacteristic
706C22C2×Q16×D4311yescharacteristic
707C22#1458369511yescharacteristic
708C22#1458371311yescharacteristic
709C22#1458371511yescharacteristic
710C4—41no—
711C4—42no—
712C4—81no—
713C4—81no—
714C4—81no—
715C4—864no—
716C4—862no—
717C4—862no—
718C4—3441no—
719C4—1721no—
720C4—1722no—
721C4—1722no—
722C4—1721no—
723C4#121×D4311yescharacteristic
724C4#1458348511yescharacteristic
725C4#1458354211yescharacteristic
726C4#1458354611yescharacteristic
727C2—42no—
728C2#1913812411yescharacteristic
729C2#1914463111yescharacteristic
730C2#1914489111yescharacteristic
731C2#1914614811yescharacteristic
732C2#1914624911yescharacteristic
733C2#1914634011yescharacteristic
734C2#1914634411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2036C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
hypercenter#2036D43
hypocenterC43#25161
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2036

Complements

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

NH ≅ G/Ntype
1. C2×#14583108C2semidirect
4. C2×#14582993C2semidirect
7. #19135985C2semidirect
9. #19135696C2semidirect
10. #19135453C2semidirect
12. #19134937C2semidirect
13. #19134933C2semidirect
14. #19134850C2semidirect
222. C22⋊Dic43Q16semidirect
430. C43#25161semidirect

Maximal subgroups

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

subgroupindex
C2×#145831082
C2×#145830572
C2×#145830542
C2×#145829932
#191381902
#191374272
#191359852
#191357982
#191356962
#191354532
#191352042
#191349372
#191349332
#191348502
C43×#20362
#2516143