Finite Group Databasebeta

← #25119006

Subgroups — #25119006

Order 11008.

1122 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583091C211yesmaximal, characteristic
2C2×#14583008C211yesmaximal, characteristic, complemented
3C2×#14582979C211yesmaximal, characteristic, complemented
4#19137660C211yesmaximal, characteristic, complemented
5#19137503C211yesmaximal, characteristic, complemented
6#19135361C211yesmaximal, characteristic, complemented
7#19135289C211yesmaximal, characteristic, complemented
8#19135275C211yesmaximal, characteristic, complemented
9#19134940C211yesmaximal, characteristic, complemented
10#19134940C211yesmaximal, characteristic, complemented
11#19134854C211yesmaximal, characteristic, complemented
12#19134840C211yesmaximal, characteristic, complemented
13#19134467C211yesmaximal, characteristic, complemented
14#19134421C211yesmaximal, characteristic, complemented
15C43×#1961C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C22×#10621882C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×D4×Dic43—21no—
20C2×D4×Dic43C2211yescharacteristic
21C2×D4×Dic43C2211yescharacteristic
22C2×#13063287C2211yescharacteristic
23C2×#13063287C2211yescharacteristic
24#14583091C418yescomplemented
25#14583008—24no—
26#14582979—24no—
27C2×#13063258C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×#13063235C2211yescharacteristic
35C2×C8×Dic43C2211yescharacteristic
36#14582802—21no—
37#14582802C2211yescharacteristic
38#14582802C2211yescharacteristic
39#14582795C2211yescharacteristic
40#14582795C2211yescharacteristic
41#14582779—21no—
42#14582779—21no—
43#14582773—21no—
44#14582773—21no—
45#14582758—21no—
46C4×C4⋊Dic43C2211yescharacteristic
47C4×C4⋊Dic43C2211yescharacteristic
48#95×D43—21no—
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#127×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#102×C43C2211yescharacteristic
58C2×#102×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#97×C43C2211yescharacteristic
61C43×#382C2211yescharacteristic
62C22×D172C2311yescharacteristic
63C23×Dic43—21no—
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C22×C4×D43—21no—
67C22×C4×D43—21no—
68C2×#10621882—22no—
69C2×#10621882—22no—
70C2×#10621882—22no—
71C2×#10621882—22no—
72C2×#10621882C2×C414yescomplemented
73C2×#10621882C2×C414yescomplemented
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C4×D172—22no—
77C4×D172C2×C414yescomplemented
78D4×Dic43—22no—
79D4×Dic43—22no—
80D4×Dic43—41no—
81D4×Dic43—41no—
82D4×Dic43—44no—
83#13063287—22no—
84#13063287—22no—
85#13063287—41no—
86#13063287—41no—
87C2×C4⋊Dic43D411yescharacteristic
88C2×C4⋊Dic43D411yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
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⋊Dic43—21no—
99C2×C22⋊Dic43—21no—
100C2×(C2×D43)⋊C4—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43C2311yescharacteristic
105C2×C4×Dic43C2311yescharacteristic
106#13063258—22no—
107#13063256—22no—
108C4⋊(C43⋊C8)C2×C414yescomplemented
109#13063247—22no—
110#13063247D414yescomplemented
111#13063246C2×C414yescomplemented
112#13063246C2×C414yescomplemented
113#13063235—22no—
114C8×Dic43—22no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95D411yescharacteristic
119C43⋊#95D411yescharacteristic
120C22×D4×C43—21no—
121C22×D4×C43—21no—
122C22×D4×C43C2311yescharacteristic
123C22×D4×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126#127×C43—22no—
127#127×C43C2×C414yescomplemented
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C42×C43C2311yescharacteristic
131#102×C43—22no—
132#102×C43—22no—
133#102×C43—41no—
134#102×C43—41no—
135#97×C43—22no—
136#95×C43—21no—
137#95×C43—21no—
138C24×C43—21no—
139C24×C43—21no—
140C23×D43—21no—
141C2×D4×C43—24no—
142C2×D4×C43—24no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—42no—
154C2×D4×C43—42no—
155C2×D4×C43—81no—
156C2×D4×C43—81no—
157C2×D4×C43C22×C412yes—
158C2×D4×C43C22×C412yes—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2411yescharacteristic
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43—81no—
172C22×Dic43—81no—
173C22×Dic43C2×D411yescharacteristic
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C2×D172—21no—
178C2×D172—21no—
179C2×D172—21no—
180C2×D172C22×C412yes—
181C2×D172C2×D412yes—
182C2×D172#4112yes—
183C2×C4×D43—24no—
184C2×C4×D43—42no—
185C2×C4×D43—42no—
186C2×C4×D43—42no—
187C2×C4×D43—42no—
188C2×C4×D43—81no—
189C2×C4×D43—81no—
190C2×C4×D43—81no—
191C2×C4×D43—81no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C2×D412yes—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C42×C43C22×C412yes—
203C42×C43#4112yes—
204C22⋊Dic43—42no—
205C22⋊Dic43—42no—
206C22⋊Dic43—42no—
207C22⋊Dic43—42no—
208C22⋊Dic43—81no—
209C22⋊Dic43—81no—
210#10621882—28no—
211#10621882—28no—
212(C2×D43)⋊C4—24no—
213(C2×D43)⋊C4—42no—
214(C2×D43)⋊C4—42no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—22no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—41no—
221C4⋊Dic43C22×C412yes—
222C4⋊Dic43C2×D412yes—
223Dic43⋊C4—81no—
224Dic43⋊C4—81no—
225C4×Dic43—21no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C4×Dic43—21no—
229C4×Dic43—42no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8C22×C412yes—
235C2×C43⋊C8C22×C412yes—
236C23×C43—22no—
237C23×C43—22no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43C22×D411yescharacteristic
251C22×D43—22no—
252C22×D43—22no—
253C22×D43—22no—
254C22×D43—41no—
255C22×D43—41no—
256C22×D43—41no—
257C22×D43—41no—
258D4×C43—22no—
259D4×C43—22no—
260D4×C43—22no—
261D4×C43—22no—
262D4×C43—48no—
263D4×C43—41no—
264D4×C43—41no—
265D4×C43—41no—
266D4×C43—41no—
267D4×C43—84no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
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×C43C4×D412yes—
279C2×C4×C43C4×D412yes—
280C2×C4×C43C23×C411yescharacteristic
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43H(5,𝔽2)11yescharacteristic
285C2×C4×C432−1+411yescharacteristic
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—22no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—22no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—21no—
297C2×Dic43—21no—
298C2×Dic43—21no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305C2×Dic43—41no—
306C2×Dic43—84no—
307C2×Dic43—84no—
308C2×Dic43AGL(1,ℤ/8)12yes—
309D172—22no—
310D172—22no—
311D172—22no—
312D172C4×D414yescomplemented
313C4×D43—84no—
314C4×D43—84no—
315C4×D43—84no—
316C8×C43—22no—
317C8×C43—41no—
318C43⋊C8—22no—
319C43⋊C8—22no—
320#23008—431nomaximal, Sylow
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—42no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43—81no—
334C22×C43—81no—
335C22×C43C2×C4×D411yescharacteristic
336C22×C43D4211yescharacteristic
337C22×C43#54811yescharacteristic
338C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
339C22×C43#57511yescharacteristic
340C22×C43#57611yescharacteristic
341C22×C43#57611yescharacteristic
342C2×D43—24no—
343C2×D43—42no—
344C2×D43—42no—
345C2×D43—42no—
346C2×D43—42no—
347C2×D43—42no—
348C2×D43—42no—
349C4×C43—22no—
350C4×C43—22no—
351C4×C43—81no—
352C4×C43—81no—
353C4×C43C2×C4×D411yescharacteristic
354C4×C43#52011yescharacteristic
355C4×C43#54711yescharacteristic
356C4×C43#55311yescharacteristic
357Dic43—22no—
358Dic43—42no—
359Dic43—41no—
360Dic43—42no—
361Dic43—41no—
362Dic43—41no—
363Dic43—81no—
364C2×#459—431no—
365C2×#442—431no—
366C2×C4×D8—431no—
367#2366—431no—
368#2349—431no—
369#1961D4311yescharacteristic, complemented
370#1949—431no—
371#1936—431no—
372#1934—431no—
373#1879—431no—
374#1879—431no—
375#1864—431no—
376#1862—431no—
377#1771—431no—
378#1762—431no—
379C2×C43—82no—
380C2×C43—82no—
381C2×C43#236111yescharacteristic
382C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
383C2×C43#294811yescharacteristic
384C2×C43#326411yescharacteristic
385C2×C43#326811yescharacteristic
386C2×C43#336611yescharacteristic
387C2×C43#337011yescharacteristic
388D43—44no—
389C22×D8—431no—
390C22×D8—431no—
391C2×#127C2×D4311yescharacteristic
392C2×C4×D4—431no—
393C2×C4×D4—431no—
394C2×C4×D4—431no—
395C2×C4×D4—431no—
396C2×C4×D4—431no—
397C2×C4×D4—861no—
398#459—438no—
399#442—864no—
400C4×D8—864no—
401C2×#107—431no—
402C2×#106—431no—
403C2×C4⋊C8—431no—
404C2×#102—431no—
405C2×#102—431no—
406C2×#102—431no—
407C2×#102—431no—
408C2×#102C2×D4311yescharacteristic
409C2×#102C2×D4311yescharacteristic
410C2×#102C2×D4311yescharacteristic
411C2×#102C2×D4311yescharacteristic
412C2×#97—431no—
413C2×#97C2×D4311yescharacteristic
414C2×C4×C8—431no—
415#390—431no—
416#390—431no—
417#390—861no—
418#389—431no—
419#389—431no—
420#386—861no—
421#386—861no—
422#385—861no—
423#385—861no—
424#382C2×D4311yescharacteristic
425#380—861no—
426C4×C4⋊C4—431no—
427C4×C4⋊C4—431no—
428C2×#95—861no—
429#340—431no—
430#340—431no—
431#340—431no—
432#340—431no—
433#336—431no—
434#336—431no—
435C43#2300811yescharacteristic, complemented, Sylow
436C22×D4—21no—
437C22×D4—21no—
438C22×D4—431no—
439C22×D4C22×D4311yescharacteristic
440C22×D4C22×D4311yescharacteristic
441C23×C4—861no—
442C23×C4—861no—
443C23×C4—861no—
444C23×C4—861no—
445C23×C4—861no—
446C2×D8—434no—
447C2×D8—434no—
448C2×D8—862no—
449C2×D8—862no—
450C2×D8—862no—
451C2×D8—862no—
452C22×C8—431no—
453C22×C8—431no—
454C22×C8C22×D4311yescharacteristic
455C22×C8C22×D4311yescharacteristic
456#127—22no—
457#127C4×D4314yescomplemented
458C4×D4—434no—
459C4×D4—862no—
460C4×D4—862no—
461C4×D4—862no—
462C4×D4—862no—
463C4×D4—862no—
464C4×D4—1721no—
465C4×D4—1721no—
466C4×D4—1721no—
467C4×D4—1721no—
468C4×D4—1724no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—431no—
471C2×C4⋊C4—431no—
472C2×C4⋊C4—431no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C22⋊C4—861no—
479C2×C22⋊C4—861no—
480C2×C22⋊C4—861no—
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×C42—431no—
488C2×C42—431no—
489C2×C42—861no—
490C2×C42C22×D4311yescharacteristic
491#107—862no—
492#106—862no—
493C4⋊C8—434no—
494#102—22no—
495#102—22no—
496#102—41no—
497#102—41no—
498#102—434no—
499#102—434no—
500#102—434no—
501#102—862no—
502#97—22no—
503#97—862no—
504C4×C8—862no—
505#95—21no—
506#95—21no—
507#95—431no—
508#95—431no—
509#95—861no—
510#95—861no—
511#95—861no—
512C24—21no—
513C24—21no—
514C24—861no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—81no—
530C2×D4—81no—
531C2×D4—432no—
532C2×D4—432no—
533C2×D4—432no—
534C2×D4—861no—
535C2×D4—861no—
536C2×D4—861no—
537C2×D4C2×C4×D4312yes—
538C2×D4C2×C4×D4312yes—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—431no—
542C22×C4—431no—
543C22×C4—431no—
544C22×C4—431no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—864no—
548C22×C4—861no—
549C22×C4—3441no—
550C22×C4—3441no—
551C22×C4—3441no—
552C22×C4—3441no—
553C22×C4—3441no—
554C22×C4—3441no—
555C22×C4—1722no—
556C22×C4—1722no—
557C22×C4—1722no—
558C22×C4—1722no—
559C22×C4—1722no—
560C22×C4—1722no—
561C22×C4—1722no—
562C22×C4—1722no—
563C22×C4D4×D4311yescharacteristic
564C22×C4D4×D4311yescharacteristic
565C22×C4C23×D4311yescharacteristic
566D8—868no—
567D8—868no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—432no—
574C2×C8—432no—
575C2×C8—861no—
576C2×C8—861no—
577C2×C8—861no—
578C2×C8—861no—
579C2×C8D4×D4312yes—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—432no—
585C4⋊C4—432no—
586C4⋊C4—862no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—3441no—
592C4⋊C4—3441no—
593C4⋊C4—1721no—
594C22⋊C4—864no—
595C22⋊C4—3441no—
596C22⋊C4—3441no—
597C22⋊C4—1722no—
598C22⋊C4—1722no—
599C22⋊C4—1722no—
600C22⋊C4—1722no—
601C22⋊C4—1722no—
602C22⋊C4—1722no—
603C42—861no—
604C42—861no—
605C42—861no—
606C42—861no—
607C42—1722no—
608C42C2×C4×D4312yes—
609C42#1062190012yes—
610C23—22no—
611C23—22no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—862no—
625C23—862no—
626C23—862no—
627C23—1721no—
628C23—1721no—
629C23—1721no—
630C23—1721no—
631C23C2×D4×D4311yescharacteristic
632D4—22no—
633D4—22no—
634D4—22no—
635D4—22no—
636D4—48no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—41no—
641D4—84no—
642D4—434no—
643D4—862no—
644D4—862no—
645D4—862no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—432no—
657C2×C4—861no—
658C2×C4—861no—
659C2×C4—862no—
660C2×C4—861no—
661C2×C4—861no—
662C2×C4—861no—
663C2×C4—861no—
664C2×C4—861no—
665C2×C4—861no—
666C2×C4—861no—
667C2×C4—861no—
668C2×C4—861no—
669C2×C4—862no—
670C2×C4—3444no—
671C2×C4—3444no—
672C2×C4—3444no—
673C2×C4—3444no—
674C2×C4—3444no—
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×C4(C22⋊D43)⋊C412yes—
684C2×C4C22×C4×D4311yescharacteristic
685C2×C4C2×D4×D4311yescharacteristic
686C2×C4#41×D4311yescharacteristic
687C2×C4C2×#1062190011yescharacteristic
688C2×C4#1306337011yescharacteristic
689C2×C4#1306337211yescharacteristic
690C8—22no—
691C8—41no—
692C8—862no—
693C8—862no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—81no—
708C22—864no—
709C22—1722no—
710C22—1722no—
711C22—1722no—
712C22—1722no—
713C22—1722no—
714C22—1722no—
715C22C2×(C22⋊D43)⋊C411yescharacteristic
716C22#1458353411yescharacteristic
717C22#1458355711yescharacteristic
718C22AGL(1,ℤ/8)×D4311yescharacteristic
719C22#1458369511yescharacteristic
720C22#1458370311yescharacteristic
721C22#1458370311yescharacteristic
722C4—22no—
723C4—22no—
724C4—81no—
725C4—81no—
726C4—862no—
727C4—3441no—
728C4—1722no—
729C4—1721no—
730C4—1722no—
731C4—1721no—
732C4—1721no—
733C4C4×D4×D4311yescharacteristic
734C4#1458337811yescharacteristic
735C4#1458354911yescharacteristic
736C4#1458359611yescharacteristic
737C2—82no—
738C2—82no—
739C2—1724no—
740C2#1913761611yescharacteristic
741C2#1914339911yescharacteristic
742C2#1914344311yescharacteristic
743C2#1914607411yescharacteristic
744C2#1914613411yescharacteristic
745C2#1914729911yescharacteristic
746C2#1914734311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1961C2
socleC23×C43C22×D4
prime radicalC2×#14583091C2
cosocleC22×C4×C43C24
hypercenter#1961D43
hypocenterC43#23008
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1961

Complements

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

NH ≅ G/Ntype
2. C2×#14583008C2semidirect
3. C2×#14582979C2semidirect
4. #19137660C2semidirect
5. #19137503C2semidirect
6. #19135361C2semidirect
7. #19135289C2semidirect
8. #19135275C2semidirect
9. #19134940C2semidirect
10. #19134940C2semidirect
11. #19134854C2semidirect
12. #19134840C2semidirect
13. #19134467C2semidirect
14. #19134421C2semidirect
15. C43×#1961C2semidirect
24. #14583091C4semidirect
72. C2×#10621882C2×C4semidirect
73. C2×#10621882C2×C4semidirect
77. C4×D172C2×C4semidirect
108. C4⋊(C43⋊C8)C2×C4semidirect
110. #13063247D4semidirect
111. #13063246C2×C4semidirect
112. #13063246C2×C4semidirect
127. #127×C43C2×C4semidirect
312. D172C4×D4semidirect
369. #1961D43semidirect
435. C43#23008semidirect
457. #127C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830912
C2×#145830082
C2×#145829792
#191376602
#191375032
#191353612
#191352892
#191352752
#191349402
#191348542
#191348402
#191344672
#191344212
C43×#19612
#2300843