Finite Group Databasebeta

← #25117316

Subgroups — #25117316

Order 11008.

1114 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583037C211yesmaximal, characteristic
2C2×#14582990C211yesmaximal, characteristic, complemented
3C2×#14582909C211yesmaximal, characteristic, complemented
4#19137637C211yesmaximal, characteristic
5#19137427C211yesmaximal, characteristic, complemented
6#19135477C211yesmaximal, characteristic, complemented
7#19135272C211yesmaximal, characteristic, complemented
8#19135227C211yesmaximal, characteristic, complemented
9#19134947C211yesmaximal, characteristic, complemented
10#19134927C211yesmaximal, characteristic, complemented
11#19134850C211yesmaximal, characteristic, complemented
12#19134792C211yesmaximal, characteristic, complemented
13#19134424C211yesmaximal, characteristic, complemented
14#19134376C211yesmaximal, characteristic, complemented
15C43×#1895C211yesmaximal, characteristic
16C23×Dic86C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C22×#10621883C2211yescharacteristic
19C2×#13063290C2211yescharacteristic
20C2×#13063290C2211yescharacteristic
21C2×D4×Dic43C2211yescharacteristic
22C2×#13063284C2211yescharacteristic
23#14583037C418yescomplemented
24#14582990—24no—
25C2×#13063258C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27#14582909—24no—
28C2×#13063250C2211yescharacteristic
29C2×#13063250C2211yescharacteristic
30C2×#13063250C2211yescharacteristic
31C2×#13063250C2211yescharacteristic
32C2×#13063248C2211yescharacteristic
33C2×#13063248C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×#13063235C2211yescharacteristic
36C2×C8×Dic43C2211yescharacteristic
37#14582804C2211yescharacteristic
38#14582804C2211yescharacteristic
39#14582803—21no—
40#14582803—21no—
41#14582802—21no—
42#14582802C2211yescharacteristic
43#14582798C2211yescharacteristic
44#14582792—21no—
45#14582779—21no—
46#14582757—21no—
47C4⋊C4×Dic43C2211yescharacteristic
48C22⋊C4×Dic43—21no—
49C22⋊C4×Dic43—21no—
50C4×C22⋊Dic43C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C22×M16×C43C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86—22no—
63C22×Dic86—22no—
64C22×Dic86—21no—
65C22×Dic86—22no—
66C22×Dic86—41no—
67C22×Dic86—41no—
68C22×Dic86C2×C414yescomplemented
69C22×Dic86C2311yescharacteristic
70C22×Dic86C2311yescharacteristic
71C23×Dic43—21no—
72C23×Dic43—21no—
73C2×#10621883—22no—
74C2×#10621883—22no—
75C2×#10621883—41no—
76C2×#10621883—41no—
77C2×#10621883C2×C414yes—
78C2×#10621883C2×C414yes—
79C22×C43⋊C8C2311yescharacteristic
80C22×C43⋊C8C2311yescharacteristic
81#13063290—22no—
82#13063290—22no—
83#13063290—41no—
84#13063290—41no—
85D4×Dic43—22no—
86D4×Dic43—41no—
87#13063284—22no—
88#13063284—41no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43C2311yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×Dic43⋊C4—21no—
93C2×Dic43⋊C4—21no—
94C2×C22⋊Dic43—21no—
95C2×C22⋊Dic43—21no—
96C2×C22⋊Dic43—21no—
97C2×C22⋊Dic43—21no—
98C2×C22⋊Dic43D411yescharacteristic
99C2×C22⋊Dic43D411yescharacteristic
100C2×C4×Dic43—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43C2311yescharacteristic
105C2×C4×Dic43C2311yescharacteristic
106#13063258—41no—
107#13063256—22no—
108#13063250—22no—
109#13063250—22no—
110#13063250—22no—
111#13063250D414yescomplemented
112#13063248C2×C414yescomplemented
113#13063248C2×C414yescomplemented
114C22⋊(C43⋊C8)C2×C414yescomplemented
115#13063235—41no—
116C8×Dic43—22no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95D411yescharacteristic
124C43⋊#95D411yescharacteristic
125C22×D4×C43—21no—
126C22×D4×C43C2311yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C2×M16×C43—22no—
129C2×M16×C43—22no—
130C2×M16×C43—41no—
131C22×C8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133#121×C43—22no—
134#121×C43C2×C414yes—
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C4⋊C4×C43C2311yescharacteristic
138C2×C22⋊C4×C43—21no—
139C2×C22⋊C4×C43—21no—
140#102×C43—22no—
141#102×C43—41no—
142#95×C43—21no—
143C24×C43—21no—
144C24×C43C2×D411yescharacteristic
145C2×D4×C43—21no—
146C2×D4×C43—24no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—81no—
152C2×D4×C43—81no—
153C2×D4×C43C22×C412yes—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43C22×C412yes—
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43#4112yes—
164C22×C4×C43C2411yescharacteristic
165C22×Dic43—24no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43—42no—
174C22×Dic43—81no—
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C22×Dic43C2×D411yescharacteristic
178C22×Dic43C2×D411yescharacteristic
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—28no—
187C2×Dic86—24no—
188C2×Dic86—21no—
189C2×Dic86—44no—
190C2×Dic86—44no—
191C2×Dic86—44no—
192C2×Dic86—42no—
193C2×Dic86—42no—
194C2×Dic86C22×C412yes—
195C2×Dic86C22×C412yes—
196C2×Dic86C2×D412yes—
197C2×Dic86#4112yes—
198M16×C43—44no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C2×C8×C43C2×D412yes—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43C22×C412yes—
211C22⋊C4×C43—24no—
212C22⋊C4×C43—42no—
213C22⋊Dic43—22no—
214C22⋊Dic43—41no—
215C22⋊Dic43—42no—
216C22⋊Dic43—42no—
217C22⋊Dic43—42no—
218C22⋊Dic43—81no—
219#10621883—28no—
220#10621883—44no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—81no—
225C4⋊Dic43C2×D412yes—
226Dic43⋊C4—42no—
227Dic43⋊C4—42no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—21no—
231C4×Dic43—21no—
232C4×Dic43—42no—
233C4×Dic43—42no—
234C4×Dic43—42no—
235C4×Dic43—81no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8C22×C412yes—
241C2×C43⋊C8C22×C412yes—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—21no—
245C23×C43—21no—
246C23×C43—21no—
247C23×C43—21no—
248C23×C43—22no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—41no—
254C23×C43—41no—
255C23×C43C4×D412yes—
256C23×C43C22×D411yescharacteristic
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—41no—
260D4×C43—41no—
261D4×C43—84no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—22no—
268C2×C4×C43—22no—
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×C43C4×D412yes—
278C2×C4×C43C23×C411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43C2×#4111yescharacteristic
281C2×C4×C43C2×#4111yescharacteristic
282C2×C4×C43H(5,𝔽2)11yescharacteristic
283C2×C4×C43H(5,𝔽2)11yescharacteristic
284C2×Dic43—22no—
285C2×Dic43—21no—
286C2×Dic43—22no—
287C2×Dic43—22no—
288C2×Dic43—21no—
289C2×Dic43—22no—
290C2×Dic43—21no—
291C2×Dic43—22no—
292C2×Dic43—21no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—48no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—84no—
309C2×Dic43#13712yes—
310Dic86—22no—
311Dic86—22no—
312Dic86—22no—
313Dic86—22no—
314Dic86—22no—
315Dic86—48no—
316Dic86—41no—
317Dic86—41no—
318Dic86C4×D414yes—
319C8×C43—22no—
320C8×C43—41no—
321C43⋊C8—22no—
322C43⋊C8—22no—
323#22885—431nomaximal, Sylow
324C22×C43—22no—
325C22×C43—22no—
326C22×C43—22no—
327C22×C43—41no—
328C22×C43—41no—
329C22×C43—41no—
330C22×C43—41no—
331C22×C43—42no—
332C22×C43—42no—
333C22×C43—42no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43—81no—
337C22×C43—81no—
338C22×C43C2×C4×D411yescharacteristic
339C22×C43D4211yescharacteristic
340C22×C43#54611yescharacteristic
341C22×C43C2×#13711yescharacteristic
342C22×C43#57511yescharacteristic
343C22×C43#57711yescharacteristic
344C22×C43#57711yescharacteristic
345C4×C43—22no—
346C4×C43—42no—
347C4×C43—81no—
348C4×C43—81no—
349C4×C43C2×C4×D411yescharacteristic
350C4×C43#51811yescharacteristic
351C4×C43#54611yescharacteristic
352C4×C43#55111yescharacteristic
353Dic43—24no—
354Dic43—22no—
355Dic43—41no—
356Dic43—42no—
357Dic43—42no—
358Dic43—41no—
359Dic43—41no—
360Dic43—81no—
361C2×#448—431no—
362C2×C4×SD16—431no—
363C2×#419—431no—
364#2363—431no—
365Q8×C22⋊C4—431no—
366#1973—431no—
367#1933—431no—
368#1927—431no—
369#1895D4311yescharacteristic
370#1880—431no—
371#1877—431no—
372#1863—431no—
373#1854—431no—
374#1763—431no—
375#1753—431no—
376C2×C43—42no—
377C2×C43—82no—
378C2×C43#235811yescharacteristic
379C2×C43C4×#13711yescharacteristic
380C2×C43#294911yescharacteristic
381C2×C43#326611yescharacteristic
382C2×C43#327111yescharacteristic
383C2×C43#332611yescharacteristic
384C2×C43#332911yescharacteristic
385C23×Q8—431no—
386C22×SD16—431no—
387C22×SD16—431no—
388C22×M16C2×D4311yescharacteristic
389C2×#121C2×D4311yescharacteristic
390C2×C4×Q8—431no—
391C2×C4×Q8—431no—
392C2×C4×D4—431no—
393C2×#117—431no—
394#448—438no—
395C4×SD16—864no—
396C2×#107—431no—
397C2×#106—431no—
398#419—864no—
399C2×#103—431no—
400C2×#103—431no—
401C2×#103—431no—
402C2×#103—431no—
403C2×#103—431no—
404C2×#103—431no—
405C2×#102C2×D4311yescharacteristic
406C2×#102C2×D4311yescharacteristic
407C2×C22⋊C8—431no—
408C2×#97—431no—
409C2×C4×C8—431no—
410#391—431no—
411#391—431no—
412#391—861no—
413#391—861no—
414#390—431no—
415#390—861no—
416#389—431no—
417#388—861no—
418#386—861no—
419#380—861no—
420#380C2×D4311yescharacteristic
421C4×C4⋊C4—431no—
422C4×C22⋊C4—431no—
423C4×C22⋊C4—861no—
424C4×C22⋊C4—861no—
425#340—431no—
426#340—431no—
427#340C2×D4311yescharacteristic
428#340C2×D4311yescharacteristic
429#336—431no—
430#336—431no—
431C43#2288511yescharacteristic, complemented, Sylow
432C22×Q8—434no—
433C22×Q8—431no—
434C22×Q8—431no—
435C22×Q8—862no—
436C22×Q8—862no—
437C22×Q8—861no—
438C22×Q8—862no—
439C22×Q8—1721no—
440C22×Q8—1721no—
441C22×D4—21no—
442C22×D4C22×D4311yescharacteristic
443C23×C4—861no—
444C23×C4—861no—
445C23×C4C22×D4311yescharacteristic
446C2×SD16—434no—
447C2×SD16—434no—
448C2×SD16—862no—
449C2×SD16—862no—
450C2×SD16—1721no—
451C2×SD16—1721no—
452C2×M16—22no—
453C2×M16—22no—
454C2×M16—41no—
455C22×C8—431no—
456C22×C8—431no—
457C22×C8C22×D4311yescharacteristic
458C22×C8C22×D4311yescharacteristic
459#121—22no—
460#121C4×D4314yes—
461C4×Q8—862no—
462C4×Q8—862no—
463C4×Q8—1721no—
464C4×Q8—1721no—
465C4×D4—862no—
466C4×D4—1721no—
467#117—862no—
468#117—1721no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4C22×D4311yescharacteristic
475C2×C4⋊C4C22×D4311yescharacteristic
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—431no—
480C2×C22⋊C4—431no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C22⋊C4—861no—
484C2×C22⋊C4—861no—
485C2×C42—431no—
486C2×C42—431no—
487C2×C42—861no—
488C2×C42—861no—
489C2×C42—861no—
490C2×C42—861no—
491#107—1721no—
492#106—862no—
493#103—434no—
494#103—434no—
495#103—434no—
496#103—862no—
497#103—862no—
498#103—862no—
499#102—22no—
500#102—41no—
501C22⋊C8—434no—
502#97—1721no—
503C4×C8—862no—
504#95—21no—
505#95—431no—
506#95—431no—
507#95—861no—
508#95—861no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513C24—21no—
514C24D4×D4311yescharacteristic
515C2×Q8—432no—
516C2×Q8—432no—
517C2×Q8—432no—
518C2×Q8—432no—
519C2×Q8—868no—
520C2×Q8—864no—
521C2×Q8—861no—
522C2×Q8—861no—
523C2×Q8—861no—
524C2×Q8—861no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—1722no—
530C2×Q8—1722no—
531C2×Q8—1724no—
532C2×Q8—1724no—
533C2×Q8—1724no—
534C2×D4—24no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—81no—
541C2×D4—81no—
542C2×D4C2×C4×D4312yes—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—431no—
551C22×C4—431no—
552C22×C4—431no—
553C22×C4—431no—
554C22×C4—861no—
555C22×C4—864no—
556C22×C4—861no—
557C22×C4—861no—
558C22×C4—861no—
559C22×C4—3441no—
560C22×C4—1722no—
561C22×C4—1722no—
562C22×C4—1722no—
563C22×C4—1722no—
564C22×C4C2×C4×D4312yes—
565C22×C4D4×D4311yescharacteristic
566C22×C4#1062190012yes—
567C22×C4C23×D4311yescharacteristic
568SD16—868no—
569SD16—1724no—
570M16—44no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—432no—
577C2×C8—432no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8—861no—
581C2×C8—861no—
582C2×C8D4×D4312yes—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—432no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—3441no—
593C4⋊C4—1722no—
594C4⋊C4—1722no—
595C4⋊C4C2×C4×D4312yes—
596C22⋊C4—24no—
597C22⋊C4—42no—
598C22⋊C4—862no—
599C22⋊C4—3441no—
600C22⋊C4—1721no—
601C22⋊C4—1722no—
602C22⋊C4—1722no—
603C22⋊C4—1722no—
604C42—861no—
605C42—861no—
606C42—861no—
607C42—861no—
608C42—3441no—
609C42—1722no—
610C42—1722no—
611C42—1722no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—22no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23(C22⋊D43)⋊C412yes—
626C23C2×D4×D4311yescharacteristic
627Q8—434no—
628Q8—862no—
629Q8—862no—
630Q8—862no—
631Q8—862no—
632Q8—862no—
633Q8—1728no—
634Q8—1721no—
635Q8—1721no—
636D4—22no—
637D4—22no—
638D4—41no—
639D4—41no—
640D4—84no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
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—432no—
657C2×C4—862no—
658C2×C4—861no—
659C2×C4—861no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—862no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—862no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—3444no—
674C2×C4—1728no—
675C2×C4—1721no—
676C2×C4—1721no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4(C22⋊D43)⋊C412yes—
683C2×C4C22×C4×D4311yescharacteristic
684C2×C4C2×D4×D4311yescharacteristic
685C2×C4#41×D4311yescharacteristic
686C2×C4C2×#1062190011yescharacteristic
687C2×C4#1306337011yescharacteristic
688C2×C4#1306337111yescharacteristic
689C8—22no—
690C8—41no—
691C8—862no—
692C8—862no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22C2×(C22⋊D43)⋊C411yescharacteristic
708C22#1458353311yescharacteristic
709C22#1458353811yescharacteristic
710C22#137×D4311yescharacteristic
711C22#1458369511yescharacteristic
712C22#1458370911yescharacteristic
713C22#1458370911yescharacteristic
714C4—22no—
715C4—42no—
716C4—81no—
717C4—81no—
718C4—864no—
719C4—862no—
720C4—3441no—
721C4—1722no—
722C4—1721no—
723C4—1722no—
724C4—1721no—
725C4—1721no—
726C4C4×D4×D4311yescharacteristic
727C4#1458337111yescharacteristic
728C4#1458353611yescharacteristic
729C4#1458357211yescharacteristic
730C2—42no—
731C2—82no—
732C2#1913757511yescharacteristic
733C2#1914341911yescharacteristic
734C2#1914345711yescharacteristic
735C2#1914611211yescharacteristic
736C2#1914618711yescharacteristic
737C2#1914685411yescharacteristic
738C2#1914688411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1895C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
cosocleC22×C4×C43C24
hypercenter#1895D43
hypocenterC43#22885
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
2. C2×#14582990C2semidirect
3. C2×#14582909C2semidirect
5. #19137427C2semidirect
6. #19135477C2semidirect
7. #19135272C2semidirect
8. #19135227C2semidirect
9. #19134947C2semidirect
10. #19134927C2semidirect
11. #19134850C2semidirect
12. #19134792C2semidirect
13. #19134424C2semidirect
14. #19134376C2semidirect
23. #14583037C4semidirect
68. C22×Dic86C2×C4semidirect
111. #13063250D4semidirect
112. #13063248C2×C4semidirect
113. #13063248C2×C4semidirect
114. C22⋊(C43⋊C8)C2×C4semidirect
431. C43#22885semidirect

Maximal subgroups

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

subgroupindex
C2×#145830372
C2×#145829902
C2×#145829092
#191376372
#191374272
#191354772
#191352722
#191352272
#191349472
#191349272
#191348502
#191347922
#191344242
#191343762
C43×#18952
#2288543