Finite Group Databasebeta

← #25018622

Subgroups — #25018622

Order 11008.

1486 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582786C212yesmaximal
2C2×#14582769C211yesmaximal, characteristic
3C2×C4⋊C4×Dic43C211yesmaximal, characteristic
4C2×C4×Dic43⋊C4C211yesmaximal, characteristic
5#19132851C212yesmaximal
6#19132849C212yesmaximal
7#19132829C212yesmaximal
8#19132824C211yesmaximal, characteristic
9#19132824C211yesmaximal, characteristic
10#19132824C211yesmaximal, characteristic
11C43×C4⋊#95C211yesmaximal, characteristic
12C22×C4⋊Dic43C2211yescharacteristic
13C22×C4⋊Dic43C2212yes—
14C22×C4⋊Dic43C2212yes—
15C22×C4⋊Dic43C2211yescharacteristic
16C22×Dic43⋊C4C2211yescharacteristic
17C22×Dic43⋊C4C2211yescharacteristic
18C22×C4×Dic43C2212yes—
19C22×C4×Dic43C2211yescharacteristic
20C22×C4×Dic43C2211yescharacteristic
21#14582786—28no—
22#14582769—24no—
23C4⋊C4×Dic43—24no—
24C4×Dic43⋊C4C418yescomplemented
25C2×C43⋊#95C2212yes—
26C2×C43⋊#95C2212yes—
27C2×C43⋊#95C2212yes—
28C2×C43⋊#95C2212yes—
29C2×C43⋊#95C2212yes—
30C2×C43⋊#95C2212yes—
31C2×C43⋊#95C2212yes—
32C2×C43⋊#95C2211yescharacteristic
33C2×C43⋊#95C2211yescharacteristic
34C22×C4⋊C4×C43C2211yescharacteristic
35C22×C4⋊C4×C43C2211yescharacteristic
36C22×C42×C43C2211yescharacteristic
37C2×#95×C43C2212yes—
38C2×#95×C43C2212yes—
39C23×Dic43C2312yes—
40C23×Dic43C2311yescharacteristic
41C23×Dic43C2311yescharacteristic
42C23×Dic43C2312yes—
43C23×Dic43C2311yescharacteristic
44C23×Dic43C2311yescharacteristic
45C2×C4⋊Dic43—22no—
46C2×C4⋊Dic43—22no—
47C2×C4⋊Dic43—24no—
48C2×C4⋊Dic43—22no—
49C2×C4⋊Dic43—22no—
50C2×C4⋊Dic43—24no—
51C2×C4⋊Dic43—22no—
52C2×C4⋊Dic43—24no—
53C2×C4⋊Dic43—24no—
54C2×C4⋊Dic43—42no—
55C2×C4⋊Dic43—42no—
56C2×C4⋊Dic43D414yes—
57C2×Dic43⋊C4—22no—
58C2×Dic43⋊C4—22no—
59C2×Dic43⋊C4C2×C414yes—
60C2×Dic43⋊C4C2×C414yes—
61C2×Dic43⋊C4D414yes—
62C2×Dic43⋊C4Q814yes—
63C2×C4×Dic43—22no—
64C2×C4×Dic43—22no—
65C2×C4×Dic43—22no—
66C2×C4×Dic43—22no—
67C2×C4×Dic43—24no—
68C2×C4×Dic43—24no—
69C2×C4×Dic43—42no—
70C2×C4×Dic43C2×C414yes—
71C2×C4×Dic43C2×C414yes—
72C43⋊#95—24no—
73C43⋊#95—24no—
74C43⋊#95—24no—
75C43⋊#95—24no—
76C43⋊#95—42no—
77C43⋊#95—42no—
78C43⋊#95—42no—
79C43⋊#95C2×C414yes—
80C43⋊#95C2×C414yes—
81C23×C4×C43C2312yes—
82C23×C4×C43C2312yes—
83C23×C4×C43C2311yescharacteristic
84C23×C4×C43C2311yescharacteristic
85C23×C4×C43C2311yescharacteristic
86C2×C4⋊C4×C43—22no—
87C2×C4⋊C4×C43—22no—
88C2×C4⋊C4×C43—22no—
89C2×C4⋊C4×C43—22no—
90C2×C4⋊C4×C43—22no—
91C2×C4⋊C4×C43Q814yes—
92C2×C42×C43—22no—
93C2×C42×C43—22no—
94C2×C42×C43C2×C414yes—
95#95×C43—24no—
96#95×C43—24no—
97C24×C43C2411yescharacteristic
98C22×C4×C43—21no—
99C22×C4×C43—21no—
100C22×C4×C43—22no—
101C22×C4×C43—22no—
102C22×C4×C43—22no—
103C22×C4×C43—21no—
104C22×C4×C43—21no—
105C22×C4×C43—22no—
106C22×C4×C43—22no—
107C22×C4×C43—22no—
108C22×C4×C43—22no—
109C22×C4×C43—22no—
110C22×C4×C43—22no—
111C22×C4×C43—21no—
112C22×C4×C43—21no—
113C22×C4×C43—22no—
114C22×C4×C43—22no—
115C22×C4×C43—21no—
116C22×C4×C43—21no—
117C22×C4×C43—22no—
118C22×C4×C43—22no—
119C22×C4×C43C22×C412yes—
120C22×C4×C43C22×C412yes—
121C22×C4×C43C22×C412yes—
122C22×C4×C43C2×D412yes—
123C22×C4×C43C2×D412yes—
124C22×C4×C43C2×Q814yes—
125C22×C4×C43C2×Q812yes—
126C22×C4×C43C2×Q812yes—
127C22×C4×C43#4112yes—
128C22×C4×C43#4112yes—
129C22×C4×C43#4112yes—
130C22×C4×C43#4112yes—
131C22×C4×C43#4112yes—
132C22×C4×C43#4112yes—
133C22×Dic43—21no—
134C22×Dic43—21no—
135C22×Dic43—22no—
136C22×Dic43—22no—
137C22×Dic43—22no—
138C22×Dic43—21no—
139C22×Dic43—21no—
140C22×Dic43—21no—
141C22×Dic43—21no—
142C22×Dic43—21no—
143C22×Dic43—21no—
144C22×Dic43—21no—
145C22×Dic43—21no—
146C22×Dic43—21no—
147C22×Dic43—21no—
148C22×Dic43—22no—
149C22×Dic43—22no—
150C22×Dic43—22no—
151C22×Dic43—22no—
152C22×Dic43—22no—
153C22×Dic43—22no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43C22×C412yes—
167C22×Dic43C22×C412yes—
168C22×Dic43C22×C412yes—
169C22×Dic43C22×C412yes—
170C22×Dic43C2×D414yes—
171C22×Dic43C2×D412yes—
172C22×Dic43C2×D412yes—
173C22×Dic43C2×Q812yes—
174C22×Dic43C2×Q812yes—
175C4⋊C4×C43—28no—
176C4⋊C4×C43—44no—
177C42×C43—28no—
178C4⋊Dic43—28no—
179C4⋊Dic43—48no—
180C4⋊Dic43—48no—
181C4⋊Dic43—44no—
182Dic43⋊C4—28no—
183Dic43⋊C4C4⋊C4116yescomplemented
184C4×Dic43—28no—
185C4×Dic43—28no—
186C4×Dic43—48no—
187C23×C43C23×C411yescharacteristic
188C23×C43C22×D411yescharacteristic
189C23×C43C22×D411yescharacteristic
190C23×C43C22×Q811yescharacteristic
191C23×C43C22×Q811yescharacteristic
192C23×C43C2×#4111yescharacteristic
193C23×C43C2×#4111yescharacteristic
194C23×C43C2×#4111yescharacteristic
195C23×C43C2×#4111yescharacteristic
196C23×C43C2×#4111yescharacteristic
197C23×C43C2×#4111yescharacteristic
198C23×C43H(5,𝔽2)11yescharacteristic
199C23×C43H(5,𝔽2)11yescharacteristic
200C23×C432−1+411yescharacteristic
201C23×C432−1+411yescharacteristic
202C2×C4×C43—22no—
203C2×C4×C43—22no—
204C2×C4×C43—22no—
205C2×C4×C43—22no—
206C2×C4×C43—22no—
207C2×C4×C43—22no—
208C2×C4×C43—22no—
209C2×C4×C43—22no—
210C2×C4×C43—22no—
211C2×C4×C43—22no—
212C2×C4×C43—22no—
213C2×C4×C43—22no—
214C2×C4×C43—24no—
215C2×C4×C43—24no—
216C2×C4×C43—24no—
217C2×C4×C43—42no—
218C2×C4×C43—42no—
219C2×C4×C43—42no—
220C2×C4×C43—42no—
221C2×C4×C43—42no—
222C2×C4×C43—42no—
223C2×C4×C43—42no—
224C2×C4×C43—42no—
225C2×C4×C43—42no—
226C2×C4×C43—42no—
227C2×C4×C43—42no—
228C2×C4×C43C2×C4⋊C414yes—
229C2×C4×C43#11714yes—
230C2×C4×C43#11714yes—
231C2×C4×C43C4×D414yes—
232C2×C4×C43C4×Q814yes—
233C2×C4×C43C22⋊Q814yes—
234C2×C4×C43#12314yes—
235C2×C4×C43#12514yes—
236C2×C4×C43#12614yes—
237C2×Dic43—22no—
238C2×Dic43—22no—
239C2×Dic43—22no—
240C2×Dic43—22no—
241C2×Dic43—22no—
242C2×Dic43—22no—
243C2×Dic43—22no—
244C2×Dic43—22no—
245C2×Dic43—22no—
246C2×Dic43—22no—
247C2×Dic43—22no—
248C2×Dic43—22no—
249C2×Dic43—22no—
250C2×Dic43—22no—
251C2×Dic43—22no—
252C2×Dic43—22no—
253C2×Dic43—22no—
254C2×Dic43—22no—
255C2×Dic43—24no—
256C2×Dic43—24no—
257C2×Dic43—24no—
258C2×Dic43—42no—
259C2×Dic43—41no—
260C2×Dic43—42no—
261C2×Dic43—41no—
262C2×Dic43—41no—
263C2×Dic43—41no—
264C2×Dic43—41no—
265C2×Dic43—41no—
266C2×Dic43—42no—
267C2×Dic43—41no—
268C2×Dic43—41no—
269C2×Dic43—42no—
270C2×Dic43—42no—
271C2×Dic43—42no—
272C2×Dic43—42no—
273C2×Dic43—42no—
274C2×Dic43—42no—
275C2×Dic43—42no—
276C2×Dic43—42no—
277C2×Dic43C2×C4⋊C414yes—
278C2×Dic43C2×C4⋊C414yes—
279#13884—431nomaximal, Sylow
280C22×C43C22×C4⋊C411yescharacteristic
281C22×C43C2×#11711yescharacteristic
282C22×C43C2×#11711yescharacteristic
283C22×C43C2×C4×D411yescharacteristic
284C22×C43C2×C4×Q811yescharacteristic
285C22×C43#52011yescharacteristic
286C22×C43#52011yescharacteristic
287C22×C43C2×C22⋊Q811yescharacteristic
288C22×C43C2×#12311yescharacteristic
289C22×C43C2×#12511yescharacteristic
290C22×C43C2×#12611yescharacteristic
291C22×C43#53211yescharacteristic
292C22×C43#53211yescharacteristic
293C22×C43#53311yescharacteristic
294C22×C43#53311yescharacteristic
295C22×C43#54011yescharacteristic
296C22×C43#54111yescharacteristic
297C22×C43#54211yescharacteristic
298C22×C43#54211yescharacteristic
299C22×C43D4211yescharacteristic
300C22×C43#54611yescharacteristic
301C22×C43#54711yescharacteristic
302C22×C43#54811yescharacteristic
303C22×C43D4×Q811yescharacteristic
304C22×C43D4×Q811yescharacteristic
305C22×C43#55011yescharacteristic
306C22×C43#55211yescharacteristic
307C22×C43#55311yescharacteristic
308C22×C43#55411yescharacteristic
309C22×C43#55411yescharacteristic
310C22×C43#55611yescharacteristic
311C22×C43#55711yescharacteristic
312C22×C43#55711yescharacteristic
313C22×C43Q8211yescharacteristic
314C22×C43#55911yescharacteristic
315C4×C43—24no—
316C4×C43—24no—
317C4×C43—44no—
318C4×C43—82no—
319C4×C43#38718yescomplemented
320Dic43—24no—
321Dic43—24no—
322Dic43—42no—
323Dic43—42no—
324Dic43—44no—
325Dic43—82no—
326C2×#387—432no—
327C2×#384—431no—
328C2×C4×C4⋊C4—431no—
329C2×C4×C4⋊C4—431no—
330#1442—432no—
331#1441—432no—
332#1436—432no—
333C4⋊#95—431no—
334C4⋊#95—431no—
335C4⋊#95—431no—
336C4⋊#95D4311yescharacteristic
337C2×C43#228511yescharacteristic
338C2×C43C2×#38711yescharacteristic
339C2×C43#231411yescharacteristic
340C2×C43D4×C4⋊C411yescharacteristic
341C2×C43Q8×C4⋊C411yescharacteristic
342C2×C43#235211yescharacteristic
343C2×C43#235511yescharacteristic
344C2×C43#244511yescharacteristic
345C2×C43#244611yescharacteristic
346C2×C43#245111yescharacteristic
347C2×C43#245211yescharacteristic
348C2×C43#250611yescharacteristic
349C2×C43#250711yescharacteristic
350C2×C43#251111yescharacteristic
351C2×C43#251211yescharacteristic
352C22×C4⋊C4—431no—
353C22×C4⋊C4—431no—
354C22×C4⋊C4—431no—
355C22×C4⋊C4—431no—
356C22×C4⋊C4—432no—
357C22×C4⋊C4—432no—
358C22×C4⋊C4C2×D4311yescharacteristic
359C22×C4⋊C4C2×D4311yescharacteristic
360C22×C42—431no—
361C22×C42—431no—
362C22×C42—432no—
363C22×C42C2×D4311yescharacteristic
364#387—868no—
365#384—864no—
366C4×C4⋊C4—438no—
367C4×C4⋊C4—864no—
368C2×#95—431no—
369C2×#95—431no—
370C2×#95—432no—
371C2×#95—432no—
372C2×#95—432no—
373C2×#95—432no—
374C2×#95—432no—
375C2×#95—432no—
376C2×#95—432no—
377C2×#95C2×D4312yes—
378C2×#95C2×D4312yes—
379C43#1388411yescharacteristic, complemented, Sylow
380C23×C4—431no—
381C23×C4—431no—
382C23×C4—432no—
383C23×C4—431no—
384C23×C4—431no—
385C23×C4—432no—
386C23×C4C22×D4312yes—
387C23×C4C22×D4312yes—
388C23×C4C22×D4311yescharacteristic
389C23×C4C22×D4311yescharacteristic
390C23×C4C22×D4311yescharacteristic
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—434no—
397C2×C4⋊C4—434no—
398C2×C4⋊C4—434no—
399C2×C4⋊C4—434no—
400C2×C4⋊C4—434no—
401C2×C4⋊C4—862no—
402C2×C4⋊C4—862no—
403C2×C4⋊C4—862no—
404C2×C4⋊C4—862no—
405C2×C4⋊C4—864no—
406C2×C4⋊C4—864no—
407C2×C4⋊C4—862no—
408C2×C4⋊C4—862no—
409C2×C4⋊C4—864no—
410C2×C4⋊C4—864no—
411C2×C4⋊C4—862no—
412C2×C4⋊C4—1722no—
413C2×C4⋊C4—1722no—
414C2×C4⋊C4Dic8614yes—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—434no—
418C2×C42—434no—
419C2×C42—862no—
420C2×C42—862no—
421C2×C42—862no—
422C2×C42—862no—
423C2×C42—864no—
424C2×C42—864no—
425C2×C42—1722no—
426C2×C42C4×D4314yes—
427#95—24no—
428#95—24no—
429#95—434no—
430#95—434no—
431#95—864no—
432#95—864no—
433#95—864no—
434#95—864no—
435#95—1722no—
436#95—1722no—
437#95—1722no—
438C24C23×D4311yescharacteristic
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—432no—
461C22×C4—432no—
462C22×C4—432no—
463C22×C4—432no—
464C22×C4—432no—
465C22×C4—432no—
466C22×C4—432no—
467C22×C4—432no—
468C22×C4—434no—
469C22×C4—861no—
470C22×C4—861no—
471C22×C4—861no—
472C22×C4—861no—
473C22×C4—861no—
474C22×C4—861no—
475C22×C4—861no—
476C22×C4—861no—
477C22×C4—861no—
478C22×C4—862no—
479C22×C4—861no—
480C22×C4—861no—
481C22×C4—861no—
482C22×C4—862no—
483C22×C4—861no—
484C22×C4—861no—
485C22×C4—862no—
486C22×C4—862no—
487C22×C4—861no—
488C22×C4—861no—
489C22×C4—861no—
490C22×C4—862no—
491C22×C4—862no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—862no—
496C22×C4—862no—
497C22×C4—862no—
498C22×C4—862no—
499C22×C4—862no—
500C22×C4—862no—
501C22×C4—862no—
502C22×C4C2×Dic8614yes—
503C22×C4C2×Dic8612yes—
504C22×C4C2×C4×D4312yes—
505C22×C4C2×C4×D4312yes—
506C22×C4C2×C4×D4312yes—
507C22×C4#1062189812yes—
508C22×C4D4×D4312yes—
509C22×C4D4×D4312yes—
510C22×C4#1062190012yes—
511C22×C4#1062190012yes—
512C22×C4#1062190012yes—
513C22×C4Q8×D4312yes—
514C22×C4#1062190212yes—
515C22×C4#1062190212yes—
516C4⋊C4—28no—
517C4⋊C4—44no—
518C4⋊C4—4316no—
519C4⋊C4—868no—
520C4⋊C4—868no—
521C4⋊C4—1728no—
522C4⋊C4—1728no—
523C4⋊C4—1724no—
524C42—28no—
525C42—868no—
526C42—868no—
527C42—1728no—
528C23C22×C4×D4311yescharacteristic
529C23C2×D4×D4311yescharacteristic
530C23C2×D4×D4311yescharacteristic
531C23C2×Q8×D4311yescharacteristic
532C23C22×Dic8611yescharacteristic
533C23C2×#1062190011yescharacteristic
534C23C2×#1062190011yescharacteristic
535C23C2×#1062190011yescharacteristic
536C23C2×#1062189811yescharacteristic
537C23C2×#1062190211yescharacteristic
538C23C2×#1062190211yescharacteristic
539C23#1306337111yescharacteristic
540C23#1306337111yescharacteristic
541C23#1306337211yescharacteristic
542C23#1306337211yescharacteristic
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—24no—
556C2×C4—24no—
557C2×C4—24no—
558C2×C4—42no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—42no—
569C2×C4—434no—
570C2×C4—434no—
571C2×C4—862no—
572C2×C4—862no—
573C2×C4—862no—
574C2×C4—862no—
575C2×C4—862no—
576C2×C4—862no—
577C2×C4—862no—
578C2×C4—862no—
579C2×C4—862no—
580C2×C4—862no—
581C2×C4—862no—
582C2×C4—862no—
583C2×C4—862no—
584C2×C4—862no—
585C2×C4—862no—
586C2×C4—862no—
587C2×C4—862no—
588C2×C4—862no—
589C2×C4—864no—
590C2×C4—864no—
591C2×C4—864no—
592C2×C4—1722no—
593C2×C4—1722no—
594C2×C4—1722no—
595C2×C4—1722no—
596C2×C4—1722no—
597C2×C4—1722no—
598C2×C4—1722no—
599C2×C4—1721no—
600C2×C4—1722no—
601C2×C4—1721no—
602C2×C4—1721no—
603C2×C4—1722no—
604C2×C4—1722no—
605C2×C4—1722no—
606C2×C4—1721no—
607C2×C4—1721no—
608C2×C4—1721no—
609C2×C4—1721no—
610C2×C4—1721no—
611C2×C4C4⋊C4×D4314yes—
612C2×C4#1306328314yes—
613C2×C4#1306328314yes—
614C2×C4(C22⋊D43)⋊C414yes—
615C2×C4C4×Dic8614yes—
616C2×C4#1306330214yes—
617C2×C4#1306331014yes—
618C2×C4#1306331614yes—
619C2×C4#1306331814yes—
620C22C2×C4⋊C4×D4311yescharacteristic
621C22C2×#1306328311yescharacteristic
622C22C2×#1306328311yescharacteristic
623C22C2×(C22⋊D43)⋊C411yescharacteristic
624C22C2×C4×Dic8611yescharacteristic
625C22#1458337911yescharacteristic
626C22#1458337911yescharacteristic
627C22C2×#1306330211yescharacteristic
628C22C2×#1306331011yescharacteristic
629C22C2×#1306331611yescharacteristic
630C22C2×#1306331811yescharacteristic
631C22#1458344711yescharacteristic
632C22#1458345011yescharacteristic
633C22#1458345411yescharacteristic
634C22#1458345411yescharacteristic
635C22#1458350511yescharacteristic
636C22#1458351211yescharacteristic
637C22#1458351811yescharacteristic
638C22#1458351811yescharacteristic
639C22#1458353311yescharacteristic
640C22#1458354011yescharacteristic
641C22#1458354911yescharacteristic
642C22#1458355511yescharacteristic
643C22#1458356211yescharacteristic
644C22D4×Dic8611yescharacteristic
645C22#1458357011yescharacteristic
646C22#1458359111yescharacteristic
647C22#1458360111yescharacteristic
648C22#1458360611yescharacteristic
649C22#1458360711yescharacteristic
650C22#1458361911yescharacteristic
651C22#1458362711yescharacteristic
652C22#1458362811yescharacteristic
653C22Q8×Dic8611yescharacteristic
654C22#1458363411yescharacteristic
655C4—24no—
656C4—24no—
657C4—44no—
658C4—82no—
659C4—864no—
660C4—864no—
661C4—3442no—
662C4—1724no—
663C4—1722no—
664C4—1722no—
665C4#1458278618yescomplemented
666C2#1913700011yescharacteristic
667C2C2×#1458278611yescharacteristic
668C2#1913720511yescharacteristic
669C2#1913749111yescharacteristic
670C2C4⋊C4×Dic8611yescharacteristic
671C2#1913752611yescharacteristic
672C2#1913755011yescharacteristic
673C2#1913836211yescharacteristic
674C2#1913837311yescharacteristic
675C2#1913843611yescharacteristic
676C2#1913844711yescharacteristic
677C2#1913911311yescharacteristic
678C2#1913912411yescharacteristic
679C2#1913917211yescharacteristic
680C2#1913918311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC43×C4⋊#95C2
socle, prime radical, cosocleC24×C43C24
hypercenterC4⋊#95D43
hypocenterC43#13884
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
24. C4×Dic43⋊C4C4semidirect
183. Dic43⋊C4C4⋊C4semidirect
319. C4×C43#387semidirect
379. C43#13884semidirect
665. C4#14582786semidirect

Maximal subgroups

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

subgroupindex
C2×#145827862
C2×#145827692
C2×C4⋊C4×Dic432
C2×C4×Dic43⋊C42
#191328512
#191328492
#191328292
#191328242
C43×C4⋊#952
#1388443