Finite Group Databasebeta

← #25005020

Subgroups — #25005020

Order 11008.

842 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582797C211yesmaximal, characteristic
2C2×#14582661C211yesmaximal, characteristic
3C2×#14582661C211yesmaximal, characteristic
4C2×#14582661C211yesmaximal, characteristic
5C2×#14582661C211yesmaximal, characteristic
6C2×#14582654C211yesmaximal, characteristic
7C43×C4⋊#95C211yesmaximal, characteristic
8C23×C43⋊C8C2211yescharacteristic
9C23×C43⋊C8C2211yescharacteristic
10C22×C4⋊Dic43C2211yescharacteristic
11C22×C4⋊Dic43C2211yescharacteristic
12C22×Dic43⋊C4—21no—
13#14582797—22no—
14#14582797—22no—
15C2×C43⋊#95—21no—
16#14582661—22no—
17#14582661—22no—
18#14582661—22no—
19#14582661C414yescomplemented
20#14582654—22no—
21C22×C4⋊C4×C43C2211yescharacteristic
22C22×C4⋊C4×C43C2211yescharacteristic
23C22×C42×C43C2211yescharacteristic
24C2×#95×C43—21no—
25C2×#95×C43—21no—
26C23×Dic43—21no—
27C23×Dic43—21no—
28C22×C43⋊C8—21no—
29C22×C43⋊C8—21no—
30C22×C43⋊C8—21no—
31C22×C43⋊C8—21no—
32C22×C43⋊C8—21no—
33C22×C43⋊C8—21no—
34C22×C43⋊C8—21no—
35C22×C43⋊C8—21no—
36C22×C43⋊C8—21no—
37C22×C43⋊C8—21no—
38C22×C43⋊C8—21no—
39C22×C43⋊C8—21no—
40C22×C43⋊C8C2×C412yes—
41C22×C43⋊C8D412yes—
42C2×C4⋊Dic43—21no—
43C2×C4⋊Dic43—21no—
44C2×C4⋊Dic43—21no—
45C2×C4⋊Dic43—21no—
46C2×C4⋊Dic43—21no—
47C2×C4⋊Dic43—21no—
48C2×C4⋊Dic43—21no—
49C2×C4⋊Dic43—21no—
50C2×C4⋊Dic43C2×C412yes—
51C2×C4⋊Dic43D412yes—
52C2×C4⋊Dic43D412yes—
53C2×C4⋊Dic43Q812yes—
54C2×Dic43⋊C4—24no—
55C2×Dic43⋊C4—42no—
56C2×Dic43⋊C4—42no—
57C43⋊#95—24no—
58C23×C4×C43—21no—
59C23×C4×C43—21no—
60C23×C4×C43D411yescharacteristic
61C23×C4×C43D411yescharacteristic
62C23×C4×C43C2311yescharacteristic
63C2×C4⋊C4×C43—21no—
64C2×C4⋊C4×C43—21no—
65C2×C4⋊C4×C43—21no—
66C2×C4⋊C4×C43—21no—
67C2×C4⋊C4×C43—21no—
68C2×C4⋊C4×C43—21no—
69C2×C4⋊C4×C43—21no—
70C2×C4⋊C4×C43—21no—
71C2×C4⋊C4×C43—21no—
72C2×C4⋊C4×C43—21no—
73C2×C4⋊C4×C43C2×C412yes—
74C2×C4⋊C4×C43Q812yes—
75C2×C42×C43—21no—
76C2×C42×C43—21no—
77C2×C42×C43—21no—
78C2×C42×C43—21no—
79C2×C42×C43—21no—
80C2×C42×C43—21no—
81#95×C43—42no—
82#95×C43—42no—
83C24×C43C2×D411yescharacteristic
84C22×C4×C43—22no—
85C22×C4×C43—21no—
86C22×C4×C43—21no—
87C22×C4×C43—21no—
88C22×C4×C43—21no—
89C22×C4×C43—22no—
90C22×C4×C43—21no—
91C22×C4×C43—21no—
92C22×C4×C43—21no—
93C22×C4×C43—21no—
94C22×C4×C43—21no—
95C22×C4×C43—21no—
96C22×C4×C43—21no—
97C22×C4×C43—21no—
98C22×C4×C43—41no—
99C22×C4×C43—41no—
100C22×C4×C43—41no—
101C22×C4×C43—41no—
102C22×C4×C43—41no—
103C22×C4×C43—41no—
104C22×C4×C43—41no—
105C22×C4×C43—41no—
106C22×C4×C43—41no—
107C22×C4×C43—41no—
108C22×C4×C43—41no—
109C22×C4×C43—41no—
110C22×C4×C43SD1612yes—
111C22×C4×C43Q1612yes—
112C22×C4×C43C22×C411yescharacteristic
113C22×C4×C43C2×D411yescharacteristic
114C22×C4×C43C2×D411yescharacteristic
115C22×C4×C43C2×D411yescharacteristic
116C22×C4×C43C2×Q811yescharacteristic
117C22×C4×C43C2×Q811yescharacteristic
118C22×C4×C43#4111yescharacteristic
119C22×C4×C43#4111yescharacteristic
120C22×C4×C43#4111yescharacteristic
121C22×C4×C43#4111yescharacteristic
122C22×C4×C43#4111yescharacteristic
123C22×C4×C43#4111yescharacteristic
124C22×C4×C43#4111yescharacteristic
125C22×C4×C43#4111yescharacteristic
126C22×Dic43—22no—
127C22×Dic43—22no—
128C22×Dic43—22no—
129C22×Dic43—22no—
130C22×Dic43—41no—
131C22×Dic43—41no—
132C22×Dic43—41no—
133C22×Dic43—41no—
134C22×Dic43—41no—
135C22×Dic43—41no—
136C22×Dic43—41no—
137C22×Dic43—41no—
138C22×Dic43—41no—
139C22×Dic43—41no—
140C4⋊C4×C43—22no—
141C4⋊C4×C43—22no—
142C4⋊C4×C43—22no—
143C4⋊C4×C43—22no—
144C4⋊C4×C43—41no—
145C4⋊C4×C43—41no—
146C4⋊C4×C43—41no—
147C4⋊C4×C43—41no—
148C42×C43—41no—
149C42×C43—41no—
150C42×C43—41no—
151C42×C43—41no—
152C4⋊Dic43—22no—
153C4⋊Dic43—22no—
154C4⋊Dic43—22no—
155C4⋊Dic43—22no—
156C4⋊Dic43—22no—
157C4⋊Dic43—41no—
158C4⋊Dic43—41no—
159C4⋊Dic43C4⋊C414yes—
160Dic43⋊C4—48no—
161C2×C43⋊C8—22no—
162C2×C43⋊C8—22no—
163C2×C43⋊C8—22no—
164C2×C43⋊C8—22no—
165C2×C43⋊C8—22no—
166C2×C43⋊C8—22no—
167C2×C43⋊C8—41no—
168C2×C43⋊C8—41no—
169C2×C43⋊C8—41no—
170C2×C43⋊C8—41no—
171C2×C43⋊C8—41no—
172C2×C43⋊C8—41no—
173C2×C43⋊C8—41no—
174C2×C43⋊C8—41no—
175C23×C43C4×D411yescharacteristic
176C23×C43#12011yescharacteristic
177C23×C43#12111yescharacteristic
178C23×C43C22⋊Q811yescharacteristic
179C23×C43C22⋊Q811yescharacteristic
180C23×C43#12311yescharacteristic
181C23×C43#12411yescharacteristic
182C23×C43C2×SD1611yescharacteristic
183C23×C43C2×Q1611yescharacteristic
184C23×C43#13511yescharacteristic
185C23×C43#13511yescharacteristic
186C23×C43AGL(1,ℤ/8)11yescharacteristic
187C23×C43AGL(1,ℤ/8)11yescharacteristic
188C23×C43AGL(1,ℤ/8)11yescharacteristic
189C23×C43#13711yescharacteristic
190C2×C4×C43—22no—
191C2×C4×C43—22no—
192C2×C4×C43—22no—
193C2×C4×C43—22no—
194C2×C4×C43—22no—
195C2×C4×C43—22no—
196C2×C4×C43—41no—
197C2×C4×C43—41no—
198C2×C4×C43—41no—
199C2×C4×C43—41no—
200C2×C4×C43—41no—
201C2×C4×C43—41no—
202C2×C4×C43—41no—
203C2×C4×C43—41no—
204C2×C4×C43—42no—
205C2×C4×C43—42no—
206C2×C4×C43—42no—
207C2×C4×C43—42no—
208C2×C4×C43—42no—
209C2×C4×C43—42no—
210C2×C4×C43—81no—
211C2×C4×C43—81no—
212C2×C4×C43—81no—
213C2×C4×C43—81no—
214C2×C4×C43—81no—
215C2×C4×C43—81no—
216C2×C4×C43—81no—
217C2×C4×C43—81no—
218C2×C4×C43C2×C4⋊C411yescharacteristic
219C2×C4×C43#11711yescharacteristic
220C2×C4×C43#11711yescharacteristic
221C2×C4×C43C4×D411yescharacteristic
222C2×C4×C43C4×D411yescharacteristic
223C2×C4×C43C4×Q811yescharacteristic
224C2×C4×C43#12111yescharacteristic
225C2×C4×C43#12111yescharacteristic
226C2×C4×C43C22⋊Q811yescharacteristic
227C2×C4×C43C22⋊Q811yescharacteristic
228C2×C4×C43C22⋊Q811yescharacteristic
229C2×C4×C43#12311yescharacteristic
230C2×C4×C43#12311yescharacteristic
231C2×C4×C43#12311yescharacteristic
232C2×C4×C43#12311yescharacteristic
233C2×C4×C43#12411yescharacteristic
234C2×C4×C43#12411yescharacteristic
235C2×C4×C43#12411yescharacteristic
236C2×C4×C43#12511yescharacteristic
237C2×C4×C43#12511yescharacteristic
238C2×C4×C43#12511yescharacteristic
239C2×C4×C43#12511yescharacteristic
240C2×C4×C43#12511yescharacteristic
241C2×C4×C43#12611yescharacteristic
242C2×C4×C43#12611yescharacteristic
243C2×C4×C43#12611yescharacteristic
244C2×C4×C43#12611yescharacteristic
245C2×C4×C43C4⋊Q811yescharacteristic
246C2×Dic43—24no—
247C2×Dic43—42no—
248C2×Dic43—42no—
249C2×Dic43—42no—
250C2×Dic43—42no—
251C2×Dic43—42no—
252C2×Dic43—42no—
253C2×Dic43—42no—
254C2×Dic43—42no—
255C2×Dic43—42no—
256C2×Dic43—81no—
257C2×Dic43—81no—
258C2×Dic43—81no—
259C2×Dic43—81no—
260C43⋊C8—42no—
261C43⋊C8—42no—
262#11293—431nomaximal, Sylow
263C22×C43#38511yescharacteristic
264C22×C43#38711yescharacteristic
265C22×C43#38811yescharacteristic
266C22×C43#39311yescharacteristic
267C22×C43#39411yescharacteristic
268C22×C43#39811yescharacteristic
269C22×C43#40011yescharacteristic
270C22×C43C4×SD1611yescharacteristic
271C22×C43C4×Q1611yescharacteristic
272C22×C43#44011yescharacteristic
273C22×C43#44211yescharacteristic
274C22×C43#44911yescharacteristic
275C22×C43#44911yescharacteristic
276C22×C43#45011yescharacteristic
277C22×C43#45111yescharacteristic
278C22×C43#46511yescharacteristic
279C22×C43#46711yescharacteristic
280C22×C43#46811yescharacteristic
281C22×C43#46911yescharacteristic
282C22×C43#47511yescharacteristic
283C22×C43#47611yescharacteristic
284C22×C43#47711yescharacteristic
285C22×C43#47711yescharacteristic
286C22×C43#47811yescharacteristic
287C22×C43#47811yescharacteristic
288C22×C43#47811yescharacteristic
289C22×C43#47911yescharacteristic
290C22×C43#48111yescharacteristic
291C22×C43#48211yescharacteristic
292C22×C43#48411yescharacteristic
293C22×C43#48511yescharacteristic
294C22×C43#48711yescharacteristic
295C22×C43#48811yescharacteristic
296C22×C43#48911yescharacteristic
297C22×C43#49011yescharacteristic
298C4×C43—42no—
299C4×C43—42no—
300C4×C43—82no—
301C4×C43—82no—
302C4×C43#38211yescharacteristic
303C4×C43#38711yescharacteristic
304C4×C43#38811yescharacteristic
305C4×C43#38911yescharacteristic
306C4×C43#39711yescharacteristic
307C4×C43#39811yescharacteristic
308C4×C43#40011yescharacteristic
309C4×C43#40011yescharacteristic
310Dic43—44no—
311Dic43—82no—
312C2×#389—431no—
313C2×#340—431no—
314C2×#340—431no—
315C2×#340—431no—
316C2×#340—431no—
317C2×#336—431no—
318C4⋊#95D4311yescharacteristic
319C2×C43#144211yescharacteristic
320C2×C43#186311yescharacteristic
321C2×C43#186411yescharacteristic
322C2×C43#191911yescharacteristic
323C2×C43#192111yescharacteristic
324C2×C43#193311yescharacteristic
325C2×C43#193611yescharacteristic
326C2×C43#202411yescharacteristic
327C2×C43#202511yescharacteristic
328C2×C43#203411yescharacteristic
329C2×C43#203611yescharacteristic
330C2×C43#208711yescharacteristic
331C2×C43#208811yescharacteristic
332C2×C43#210011yescharacteristic
333C2×C43#210111yescharacteristic
334C23×C8—431no—
335C23×C8—431no—
336C22×C4⋊C4—431no—
337C22×C4⋊C4—431no—
338C22×C4⋊C4—861no—
339C22×C4⋊C4C2×D4311yescharacteristic
340C22×C4⋊C4C2×D4311yescharacteristic
341C22×C42C2×D4311yescharacteristic
342#389—862no—
343#389—862no—
344C2×#95—21no—
345C2×#95—21no—
346C2×#95—861no—
347#340—434no—
348#340—862no—
349#340—862no—
350#340—862no—
351#336—862no—
352C43#1129311yescharacteristic, complemented, Sylow
353C23×C4—21no—
354C23×C4—21no—
355C23×C4—861no—
356C23×C4—861no—
357C23×C4C22⋊D4311yescharacteristic
358C23×C4C22⋊D4311yescharacteristic
359C23×C4C22×D4311yescharacteristic
360C22×C8—432no—
361C22×C8—432no—
362C22×C8—861no—
363C22×C8—861no—
364C22×C8—861no—
365C22×C8—861no—
366C22×C8—861no—
367C22×C8—861no—
368C22×C8—861no—
369C22×C8—861no—
370C22×C8—861no—
371C22×C8—861no—
372C22×C8—861no—
373C22×C8—861no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—432no—
385C2×C4⋊C4—432no—
386C2×C4⋊C4—432no—
387C2×C4⋊C4—432no—
388C2×C4⋊C4—861no—
389C2×C4⋊C4—861no—
390C2×C4⋊C4—861no—
391C2×C4⋊C4—861no—
392C2×C4⋊C4—861no—
393C2×C4⋊C4—861no—
394C2×C4⋊C4—861no—
395C2×C4⋊C4—864no—
396C2×C4⋊C4—861no—
397C2×C4⋊C4—1722no—
398C2×C4⋊C4—1722no—
399C2×C4⋊C4Dic8612yes—
400C2×C4⋊C4C4×D4312yes—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—21no—
405C2×C42—21no—
406C2×C42—21no—
407#95—42no—
408#95—42no—
409#95—864no—
410C24C2×C22⋊D4311yescharacteristic
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—862no—
438C22×C4—862no—
439C22×C4—862no—
440C22×C4—862no—
441C22×C4—1721no—
442C22×C4—1721no—
443C22×C4—1721no—
444C22×C4—1721no—
445C22×C4—1721no—
446C22×C4—1721no—
447C22×C4—1721no—
448C22×C4—1721no—
449C22×C4—1721no—
450C22×C4—1721no—
451C22×C4#1062188412yes—
452C22×C4#1062188512yes—
453C22×C4C2×Dic8611yescharacteristic
454C22×C4C2×C4×D4311yescharacteristic
455C22×C4#1062189811yescharacteristic
456C22×C4#1062189811yescharacteristic
457C22×C4#1062189811yescharacteristic
458C22×C4#1062189811yescharacteristic
459C22×C4D4×D4311yescharacteristic
460C22×C4D4×D4311yescharacteristic
461C22×C4D4×D4311yescharacteristic
462C22×C4#1062190011yescharacteristic
463C22×C4#1062190011yescharacteristic
464C22×C4#1062190011yescharacteristic
465C22×C4Q8×D4311yescharacteristic
466C22×C4#1062190211yescharacteristic
467C2×C8—862no—
468C2×C8—862no—
469C2×C8—862no—
470C2×C8—862no—
471C2×C8—862no—
472C2×C8—862no—
473C2×C8—1721no—
474C2×C8—1721no—
475C2×C8—1721no—
476C2×C8—1721no—
477C2×C8—1721no—
478C2×C8—1721no—
479C2×C8—1721no—
480C2×C8—1721no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—41no—
486C4⋊C4—41no—
487C4⋊C4—41no—
488C4⋊C4—41no—
489C4⋊C4—434no—
490C4⋊C4—862no—
491C4⋊C4—862no—
492C4⋊C4—862no—
493C4⋊C4—862no—
494C4⋊C4—862no—
495C4⋊C4—1728no—
496C4⋊C4—1721no—
497C4⋊C4—1721no—
498C42—41no—
499C42—41no—
500C42—41no—
501C42—41no—
502C23C4×C22⋊D4311yescharacteristic
503C23#1306329311yescharacteristic
504C23#1306329711yescharacteristic
505C23#1306330111yescharacteristic
506C23#1306330411yescharacteristic
507C23#1306330811yescharacteristic
508C23#1306331211yescharacteristic
509C23C2×#1062188411yescharacteristic
510C23C2×#1062188511yescharacteristic
511C23#1306334511yescharacteristic
512C23#1306334511yescharacteristic
513C23#1306335011yescharacteristic
514C23#1306335111yescharacteristic
515C23#1306335111yescharacteristic
516C23#1306335511yescharacteristic
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—22no—
520C2×C4—22no—
521C2×C4—22no—
522C2×C4—22no—
523C2×C4—41no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—41no—
527C2×C4—41no—
528C2×C4—41no—
529C2×C4—41no—
530C2×C4—41no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—42no—
534C2×C4—42no—
535C2×C4—42no—
536C2×C4—42no—
537C2×C4—81no—
538C2×C4—81no—
539C2×C4—81no—
540C2×C4—81no—
541C2×C4—81no—
542C2×C4—81no—
543C2×C4—81no—
544C2×C4—81no—
545C2×C4—864no—
546C2×C4—3441no—
547C2×C4—3441no—
548C2×C4—3441no—
549C2×C4—3441no—
550C2×C4—1722no—
551C2×C4—1722no—
552C2×C4—1722no—
553C2×C4—1722no—
554C2×C4—1722no—
555C2×C4—1722no—
556C2×C4—1722no—
557C2×C4—1722no—
558C2×C4—1722no—
559C2×C4C4⋊C4×D4311yescharacteristic
560C2×C4#1306328111yescharacteristic
561C2×C4#1306328211yescharacteristic
562C2×C4(C22⋊D43)⋊C411yescharacteristic
563C2×C4#1306328711yescharacteristic
564C2×C4C4×Dic8611yescharacteristic
565C2×C4#1306329811yescharacteristic
566C2×C4#1306329811yescharacteristic
567C2×C4#1306330211yescharacteristic
568C2×C4#1306330211yescharacteristic
569C2×C4#1306330311yescharacteristic
570C2×C4#1306330711yescharacteristic
571C2×C4#1306330711yescharacteristic
572C2×C4#1306331011yescharacteristic
573C2×C4#1306331011yescharacteristic
574C2×C4#1306331111yescharacteristic
575C2×C4#1306331111yescharacteristic
576C2×C4#1306331111yescharacteristic
577C2×C4#1306331511yescharacteristic
578C2×C4#1306331511yescharacteristic
579C2×C4#1306331511yescharacteristic
580C2×C4#1306331611yescharacteristic
581C2×C4#1306331711yescharacteristic
582C2×C4#1306331811yescharacteristic
583C2×C4#1306331911yescharacteristic
584C2×C4#1306332011yescharacteristic
585C2×C4#1306332011yescharacteristic
586C2×C4#1306332411yescharacteristic
587C8—1722no—
588C8—1722no—
589C22#1458277011yescharacteristic
590C22#1458278311yescharacteristic
591C22#1458279311yescharacteristic
592C22#1458281111yescharacteristic
593C22#1458281411yescharacteristic
594C22#1458283211yescharacteristic
595C22#1458283711yescharacteristic
596C22C4×#1062188411yescharacteristic
597C22C4×#1062188511yescharacteristic
598C22#1458299911yescharacteristic
599C22#1458300911yescharacteristic
600C22#1458304211yescharacteristic
601C22#1458304211yescharacteristic
602C22#1458304911yescharacteristic
603C22#1458305411yescharacteristic
604C22#1458313011yescharacteristic
605C22#1458313811yescharacteristic
606C22#1458314311yescharacteristic
607C22#1458315011yescharacteristic
608C22#1458318411yescharacteristic
609C22#1458318611yescharacteristic
610C22#1458319111yescharacteristic
611C22#1458319411yescharacteristic
612C22#1458319611yescharacteristic
613C22#1458319911yescharacteristic
614C22#1458319911yescharacteristic
615C22#1458320311yescharacteristic
616C22#1458321711yescharacteristic
617C22#1458322311yescharacteristic
618C22#1458323411yescharacteristic
619C22#1458324011yescharacteristic
620C22#1458324911yescharacteristic
621C22#1458325311yescharacteristic
622C22#1458325811yescharacteristic
623C22#1458326311yescharacteristic
624C4—42no—
625C4—42no—
626C4—82no—
627C4—82no—
628C4—3442no—
629C4—1724no—
630C4#1458276311yescharacteristic
631C4#1458278211yescharacteristic
632C4#1458278811yescharacteristic
633C4#1458279611yescharacteristic
634C4#1458282811yescharacteristic
635C4#1458283311yescharacteristic
636C4#1458284011yescharacteristic
637C4#1458284111yescharacteristic
638C2#1913285311yescharacteristic
639C2#1913484811yescharacteristic
640C2#1913485511yescharacteristic
641C2#1913517311yescharacteristic
642C2#1913518711yescharacteristic
643C2#1913527411yescharacteristic
644C2#1913529511yescharacteristic
645C2#1913573611yescharacteristic
646C2#1913574111yescharacteristic
647C2#1913578411yescharacteristic
648C2#1913579811yescharacteristic
649C2#1913609111yescharacteristic
650C2#1913609711yescharacteristic
651C2#1913615711yescharacteristic
652C2#1913616211yescharacteristic
subgroupG/H
centerC24C2×C22⋊D43
commutatorC22×C4×C43C22×C4
FrattiniC23×C4C22×D43
FittingC43×C4⋊#95C2
socle, prime radicalC24×C43C2×D4
cosocleC23×C4×C43C23
hypercenterC4⋊#95D43
hypocenterC43#11293
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C42 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
19. #14582661C4semidirect
352. C43#11293semidirect

Maximal subgroups

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

subgroupindex
C2×#145827972
C2×#145826612
C2×#145826542
C43×C4⋊#952
#1129343