Finite Group Databasebeta

← #25135483

Subgroups — #25135483

Order 11008.

986 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582957C211yesmaximal, characteristic, complemented
2#19140385C211yesmaximal, characteristic, complemented
3#19137187C211yesmaximal, characteristic, complemented
4#19135974C211yesmaximal, characteristic, complemented
5#19135967C211yesmaximal, characteristic, complemented
6#19135908C211yesmaximal, characteristic, complemented
7#19135903C211yesmaximal, characteristic, complemented
8#19135472C211yesmaximal, characteristic, complemented
9#19135451C211yesmaximal, characteristic, complemented
10#19135282C211yesmaximal, characteristic, complemented
11#19135275C211yesmaximal, characteristic, complemented
12#19134913C211yesmaximal, characteristic, complemented
13#19134790C211yesmaximal, characteristic, complemented
14#19134535C211yesmaximal, characteristic, complemented
15C2×C43×#449C211yesmaximal, characteristic
16C2×#13063284C2211yescharacteristic
17C22×C4⋊Dic43C2211yescharacteristic
18#14582957—24no—
19C2×#13063257C2211yescharacteristic
20C2×#13063257C2211yescharacteristic
21C2×Dic43⋊C8C2211yescharacteristic
22C2×Dic43⋊C8C2211yescharacteristic
23C2×#13063249C2211yescharacteristic
24C2×#13063249C2211yescharacteristic
25C2×#13063246C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×C22⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063235C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32#14582835—21no—
33#14582824—21no—
34#14582813—21no—
35#14582813—21no—
36#14582806C2211yescharacteristic
37#14582806C2211yescharacteristic
38#14582802C2211yescharacteristic
39#14582802C2211yescharacteristic
40#14582802C2211yescharacteristic
41#14582802C2211yescharacteristic
42#14582795C2211yescharacteristic
43#14582795C2211yescharacteristic
44#14582779—21no—
45#14582779—21no—
46#14582759—21no—
47#14582759—21no—
48#14582759C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53C22×#41×C43C2211yescharacteristic
54C22×SD16×C43C2211yescharacteristic
55C22×D8×C43C2211yescharacteristic
56C2×#121×C43C2211yescharacteristic
57C43×#449—24no—
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×C22⋊C8×C43C2211yescharacteristic
61C23×Dic43—21no—
62C22×C43⋊C8C2311yescharacteristic
63C22×C43⋊C8C2311yescharacteristic
64#13063284—22no—
65#13063284—22no—
66C2×C4⋊Dic43—21no—
67C2×C4⋊Dic43—41no—
68C2×C4⋊Dic43—41no—
69C2×C4⋊Dic43D411yescharacteristic
70C2×C4⋊Dic43D411yescharacteristic
71C2×C4⋊Dic43C2311yescharacteristic
72C2×C4⋊Dic43C2311yescharacteristic
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×Dic43⋊C4—21no—
76C2×Dic43⋊C4—21no—
77C2×C22⋊Dic43—21no—
78C2×C22⋊Dic43—21no—
79C2×C22⋊Dic43—21no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—21no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43D411yescharacteristic
87C2×C22⋊Dic43D411yescharacteristic
88C2×C4×Dic43C2311yescharacteristic
89C2×C4×Dic43C2311yescharacteristic
90#13063257—41no—
91#13063257—41no—
92Dic43⋊C8—22no—
93Dic43⋊C8—22no—
94#13063249—22no—
95#13063249—41no—
96#13063246—22no—
97#13063246—41no—
98#13063246—41no—
99#13063246—41no—
100C22⋊(C43⋊C8)—22no—
101#13063235—22no—
102C8×Dic43—22no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C2×#41×C43—22no—
111C2×#41×C43—22no—
112C2×#41×C43—22no—
113C2×#41×C43—22no—
114C2×#41×C43—41no—
115C2×#41×C43—41no—
116C22×Q8×C43C2311yescharacteristic
117C22×D4×C43—21no—
118C22×D4×C43—21no—
119C22×D4×C43C2311yescharacteristic
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43—21no—
122C23×C4×C43C2311yescharacteristic
123C2×SD16×C43—22no—
124C2×SD16×C43—22no—
125C2×SD16×C43—41no—
126C2×D8×C43—22no—
127C2×D8×C43—22no—
128C2×D8×C43—41no—
129C22×C8×C43C2311yescharacteristic
130C22×C8×C43C2311yescharacteristic
131#121×C43—22no—
132#121×C43—22no—
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C22⋊C4×C43—21no—
135#103×C43—22no—
136#102×C43—22no—
137C22⋊C8×C43D414yes—
138C24×C43—21no—
139C24×C43—21no—
140C24×C43C2×D411yescharacteristic
141#41×C43—44no—
142#41×C43—44no—
143#41×C43—44no—
144#41×C43—44no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43#4112yes—
151C2×D4×C43—24no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—42no—
164C2×D4×C43—42no—
165C2×D4×C43—42no—
166C2×D4×C43—81no—
167C2×D4×C43—81no—
168C2×D4×C43#4112yes—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—24no—
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43—42no—
177C22×C4×C43—42no—
178C22×C4×C43C2×D412yes—
179C22×C4×C43C2×D411yescharacteristic
180C22×C4×C43#4112yes—
181C22×C4×C43C2411yescharacteristic
182C22×Dic43—21no—
183C22×Dic43—21no—
184C22×Dic43—21no—
185C22×Dic43—21no—
186C22×Dic43—42no—
187C22×Dic43—81no—
188C22×Dic43—81no—
189C22×Dic43C2×D411yescharacteristic
190C22×Dic43C2×D411yescharacteristic
191C22×Dic43C2×D411yescharacteristic
192C22×Dic43C2×D411yescharacteristic
193SD16×C43—44no—
194D8×C43—44no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43C2×D412yes—
200C2×C8×C43C2×D412yes—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C22⋊C4×C43—42no—
204C22⋊Dic43—22no—
205C22⋊Dic43—22no—
206C22⋊Dic43—81no—
207C22⋊Dic43—81no—
208C22⋊Dic43—81no—
209C22⋊Dic43—81no—
210C22⋊Dic43—81no—
211C22⋊Dic43—81no—
212C22⋊Dic43—81no—
213C22⋊Dic43—81no—
214C22⋊Dic43—81no—
215C4⋊Dic43—22no—
216C4⋊Dic43—22no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43—21no—
225C4⋊Dic43—42no—
226Dic43⋊C4—81no—
227Dic43⋊C4—81no—
228C4×Dic43—21no—
229C4×Dic43—21no—
230C4×Dic43—21no—
231C4×Dic43—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—21no—
244C23×C43—22no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—41no—
253C23×C43—41no—
254C23×C43—41no—
255C23×C43—41no—
256C23×C43—41no—
257C23×C43—41no—
258C23×C43#12112yes—
259C23×C43C22×D411yescharacteristic
260Q8×C43—22no—
261Q8×C43—22no—
262Q8×C43—41no—
263Q8×C43—41no—
264D4×C43—22no—
265D4×C43—22no—
266D4×C43—48no—
267D4×C43—41no—
268D4×C43—41no—
269D4×C43—41no—
270D4×C43—41no—
271D4×C43—41no—
272D4×C43—41no—
273D4×C43—84no—
274C2×C4×C43—21no—
275C2×C4×C43—21no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—22no—
281C2×C4×C43—48no—
282C2×C4×C43—41no—
283C2×C4×C43—41no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43—41no—
287C2×C4×C43#12112yes—
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43C2×#4111yescharacteristic
291C2×C4×C43C2×#4111yescharacteristic
292C2×C4×C43H(5,𝔽2)11yescharacteristic
293C2×C4×C43H(5,𝔽2)11yescharacteristic
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—21no—
300C2×Dic43—21no—
301C2×Dic43—21no—
302C2×Dic43—21no—
303C2×Dic43—21no—
304C2×Dic43—21no—
305C2×Dic43—21no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310C2×Dic43—41no—
311C2×Dic43—41no—
312C2×Dic43—41no—
313C2×Dic43—41no—
314C2×Dic43—41no—
315C2×Dic43—41no—
316C2×Dic43—41no—
317C2×Dic43—41no—
318C2×Dic43—84no—
319C8×C43—22no—
320C8×C43—22no—
321C43⋊C8—41no—
322C43⋊C8—41no—
323#24519—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×C43—81no—
339C22×C43—81no—
340C22×C43—81no—
341C22×C43—81no—
342C22×C43—81no—
343C22×C43—81no—
344C22×C43—81no—
345C22×C43C2×#12111yescharacteristic
346C22×C43#52511yescharacteristic
347C22×C43#53511yescharacteristic
348C22×C43#57611yescharacteristic
349C22×C43#57711yescharacteristic
350C22×C43#57711yescharacteristic
351C22×C43#57711yescharacteristic
352C4×C43—22no—
353C4×C43—42no—
354C4×C43—81no—
355C4×C43#54611yescharacteristic
356C4×C43#54611yescharacteristic
357C4×C43#55111yescharacteristic
358C4×C43#55111yescharacteristic
359Dic43—41no—
360Dic43—41no—
361Dic43—41no—
362Dic43—41no—
363Dic43—81no—
364Dic43—81no—
365Dic43—81no—
366Dic43—81no—
367C2×#449D4311yescharacteristic
368C2×#433—431no—
369#2624—431no—
370#2311—431no—
371#2066—431no—
372#2065—431no—
373#2055—431no—
374#2054—431no—
375#1972—431no—
376#1968—431no—
377#1935—431no—
378#1934—431no—
379#1874—431no—
380#1853—431no—
381#1788—431no—
382C2×C43—42no—
383C2×C43—82no—
384C2×C43—161no—
385C2×C43#241111yescharacteristic
386C2×C43#306011yescharacteristic
387C2×C43#306211yescharacteristic
388C2×C43#311911yescharacteristic
389C2×C43#312511yescharacteristic
390C2×C43#322111yescharacteristic
391C2×C43#322411yescharacteristic
392C22×#41C2×D4311yescharacteristic
393C22×SD16C2×D4311yescharacteristic
394C22×D8C2×D4311yescharacteristic
395C2×#121C2×D4311yescharacteristic
396C2×#117—431no—
397C22×C4⋊C4—431no—
398#449—24no—
399#433—864no—
400C2×#106—431no—
401C2×#106—431no—
402C2×C4⋊C8—431no—
403C2×C4⋊C8—431no—
404C2×#103—431no—
405C2×#103—431no—
406C2×#103C2×D4311yescharacteristic
407C2×#102—431no—
408C2×#102—431no—
409C2×#102—431no—
410C2×#102—431no—
411C2×#102C2×D4311yescharacteristic
412C2×C22⋊C8—431no—
413C2×C22⋊C8C2×D4311yescharacteristic
414C2×#97—431no—
415C2×C4×C8—431no—
416#399—861no—
417#397—861no—
418#394—861no—
419#394—861no—
420#391—431no—
421#391—431no—
422#390—431no—
423#390—431no—
424#390—431no—
425#390—431no—
426#389—431no—
427#389—431no—
428#386—861no—
429#386—861no—
430#380—431no—
431#380—861no—
432#380—861no—
433#340—431no—
434#340—431no—
435#340—431no—
436#340—431no—
437C43#2451911yescharacteristic, complemented, Sylow
438C2×#41—22no—
439C2×#41—22no—
440C2×#41—22no—
441C2×#41—22no—
442C2×#41—41no—
443C2×#41—41no—
444C22×Q8C22×D4311yescharacteristic
445C22×D4—21no—
446C22×D4—21no—
447C22×D4C22×D4311yescharacteristic
448C22×D4C22×D4311yescharacteristic
449C23×C4—21no—
450C23×C4—861no—
451C23×C4C22×D4311yescharacteristic
452C2×SD16—22no—
453C2×SD16—22no—
454C2×SD16—41no—
455C2×D8—22no—
456C2×D8—22no—
457C2×D8—41no—
458C22×C8—431no—
459C22×C8—431no—
460C22×C8C22×D4311yescharacteristic
461C22×C8C22×D4311yescharacteristic
462#121—22no—
463#121—22no—
464#117—862no—
465#117—862no—
466C2×C4⋊C4—431no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—1721no—
476C2×C4⋊C4—1721no—
477C2×C4⋊C4C22×D4311yescharacteristic
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×C22⋊C4—861no—
486C2×C22⋊C4—861no—
487C2×C22⋊C4—861no—
488C2×C22⋊C4—861no—
489C2×C22⋊C4—861no—
490C2×C42—431no—
491C2×C42—431no—
492#106—1721no—
493#106—1721no—
494C4⋊C8—862no—
495C4⋊C8—862no—
496#103—22no—
497#103—862no—
498#103—1721no—
499#102—22no—
500#102—862no—
501#102—1721no—
502#102—1721no—
503#102—1721no—
504C22⋊C8—862no—
505C22⋊C8C22⋊D4314yes—
506#97—862no—
507C4×C8—862no—
508#95—861no—
509#95—861no—
510#95—861no—
511#95—861no—
512#95—861no—
513#95—861no—
514#95—861no—
515C24—21no—
516C24—21no—
517C24D4×D4311yescharacteristic
518#41—44no—
519#41—44no—
520#41—44no—
521#41—44no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8#1062190012yes—
528C2×D4—24no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—81no—
544C2×D4—81no—
545C2×D4#1062190012yes—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—42no—
554C22×C4—42no—
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×C4—3441no—
564C22×C4—3441no—
565C22×C4—1722no—
566C22×C4D4×D4311yescharacteristic
567C22×C4#1062190012yes—
568C22×C4C2×C22⋊D4312yes—
569C22×C4C23×D4311yescharacteristic
570SD16—44no—
571D8—44no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8—861no—
580C2×C8—861no—
581C2×C8—861no—
582C2×C8C2×C22⋊D4312yes—
583C2×C8C2×C22⋊D4312yes—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—862no—
587C4⋊C4—862no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—861no—
593C4⋊C4—861no—
594C4⋊C4—861no—
595C4⋊C4—861no—
596C4⋊C4—3441no—
597C4⋊C4—3441no—
598C4⋊C4—1722no—
599C22⋊C4—42no—
600C22⋊C4—862no—
601C22⋊C4—862no—
602C22⋊C4—3441no—
603C22⋊C4—3441no—
604C22⋊C4—3441no—
605C22⋊C4—3441no—
606C22⋊C4—3441no—
607C22⋊C4—3441no—
608C22⋊C4—3441no—
609C22⋊C4—3441no—
610C22⋊C4—3441no—
611C42—861no—
612C42—861no—
613C42—861no—
614C42—861no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—41no—
635C23#1306329612yes—
636C23C2×D4×D4311yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—41no—
640Q8—41no—
641D4—22no—
642D4—22no—
643D4—48no—
644D4—41no—
645D4—41no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4—84no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—48no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—861no—
672C2×C4—861no—
673C2×C4—861no—
674C2×C4—861no—
675C2×C4—861no—
676C2×C4—3444no—
677C2×C4—1721no—
678C2×C4—1721no—
679C2×C4—1721no—
680C2×C4—1721no—
681C2×C4—1721no—
682C2×C4—1721no—
683C2×C4—1721no—
684C2×C4—1721no—
685C2×C4—1721no—
686C2×C4—1721no—
687C2×C4—1721no—
688C2×C4—1721no—
689C2×C4#1306329612yes—
690C2×C4C22×C22⋊D4311yescharacteristic
691C2×C4C2×#1062190011yescharacteristic
692C2×C4C2×#1062190011yescharacteristic
693C2×C4C2×#1062190011yescharacteristic
694C2×C4#1306337011yescharacteristic
695C2×C4#1306337011yescharacteristic
696C8—22no—
697C8—22no—
698C8—1721no—
699C8—1721no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22C2×#1306329611yescharacteristic
722C22#1458340511yescharacteristic
723C22#1458346411yescharacteristic
724C22#1458370311yescharacteristic
725C22#1458370611yescharacteristic
726C22#1458370611yescharacteristic
727C22#1458370911yescharacteristic
728C4—22no—
729C4—42no—
730C4—81no—
731C4—3441no—
732C4—3441no—
733C4—3441no—
734C4—3441no—
735C4—1721no—
736C4—1721no—
737C4—1721no—
738C4—1721no—
739C4#1458354311yescharacteristic
740C4#1458354311yescharacteristic
741C4#1458358011yescharacteristic
742C4#1458358011yescharacteristic
743C2—42no—
744C2—82no—
745C2—161no—
746C2#1913797611yescharacteristic
747C2#1914425311yescharacteristic
748C2#1914426911yescharacteristic
749C2#1914479511yescharacteristic
750C2#1914487311yescharacteristic
751C2#1914565411yescharacteristic
752C2#1914568711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC2×C43×#449C2
socleC23×C43C22×D4
hypercenterC2×#449D43
hypocenterC43#24519
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#449

Complements

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

NH ≅ G/Ntype
1. C2×#14582957C2semidirect
2. #19140385C2semidirect
3. #19137187C2semidirect
4. #19135974C2semidirect
5. #19135967C2semidirect
6. #19135908C2semidirect
7. #19135903C2semidirect
8. #19135472C2semidirect
9. #19135451C2semidirect
10. #19135282C2semidirect
11. #19135275C2semidirect
12. #19134913C2semidirect
13. #19134790C2semidirect
14. #19134535C2semidirect
437. C43#24519semidirect

Maximal subgroups

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

subgroupindex
C2×#145829572
#191403852
#191371872
#191359742
#191359672
#191359082
#191359032
#191354722
#191354512
#191352822
#191352752
#191349132
#191347902
#191345352
C2×C43×#4492
#2451943