Finite Group Databasebeta

← #25113447

Subgroups — #25113447

Order 11008.

1162 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583631C211yesmaximal, characteristic
2C2×#14583028C211yesmaximal, characteristic, complemented
3C4⋊C4×Dic86C211yesmaximal, characteristic, complemented
4#19135524C211yesmaximal, characteristic, complemented
5#19135520C211yesmaximal, characteristic
6#19135412C211yesmaximal, characteristic, complemented
7#19135408C211yesmaximal, characteristic, complemented
8#19135399C211yesmaximal, characteristic
9#19134598C211yesmaximal, characteristic, complemented
10#19134596C211yesmaximal, characteristic, complemented
11#19134593C211yesmaximal, characteristic, complemented
12#19134423C211yesmaximal, characteristic, complemented
13#19134422C211yesmaximal, characteristic, complemented
14#103×Dic43C211yesmaximal, characteristic, complemented
15C43×#1983C211yesmaximal, characteristic, complemented
16#14583631—24no—
17#14583631C418yescomplemented
18C2×#13063321C2211yescharacteristic
19C2×#13063314C2211yescharacteristic
20C2×#13063311—21no—
21C2×#13063309—21no—
22C2×#13063307—21no—
23C2×Q8×Dic43C2211yescharacteristic
24C2×C4×Dic86—21no—
25C2×C4×Dic86C2211yescharacteristic
26C2×C4×D172C2211yescharacteristic
27C2×D4×Dic43C2211yescharacteristic
28C2×(C22⋊D43)⋊C4—21no—
29#14583028—24no—
30C2×Dic43⋊C8C2211yescharacteristic
31C2×Dic43⋊C8C2211yescharacteristic
32C2×#13063249C2211yescharacteristic
33C2×#13063249C2211yescharacteristic
34C2×#13063247C2211yescharacteristic
35C2×#13063247C2211yescharacteristic
36C2×#13063246C2211yescharacteristic
37C2×#13063246C2211yescharacteristic
38C2×#13063245C2211yescharacteristic
39C2×#13063245C2211yescharacteristic
40C2×#13063236C2211yescharacteristic
41C2×#13063235C2211yescharacteristic
42C2×C8×Dic43C2211yescharacteristic
43#14582797—21no—
44#14582796—21no—
45#14582796—21no—
46#14582769C2211yescharacteristic
47#14582768C2211yescharacteristic
48#14582768C2211yescharacteristic
49C4⋊C4×Dic43C2211yescharacteristic
50C4⋊C4×Dic43C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×#124×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C4×C4⋊C4×C43C2211yescharacteristic
62C22×Dic86D411yescharacteristic
63C22×D172C2311yescharacteristic
64C22×C22⋊D43—21no—
65C22×C22⋊D43—21no—
66C23×Dic43—21no—
67C22×C4×D43—21no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063321—22no—
71#13063321C2×C414yes—
72#13063314—22no—
73#13063314C2×C414yes—
74#13063311—28no—
75#13063309—28no—
76#13063307—28no—
77Q8×Dic43—22no—
78Q8×Dic43C2×C414yes—
79C4×Dic86—44no—
80C4×Dic86C2×C414yes—
81C4×Dic86D414yes—
82C4×D172—22no—
83C4×D172C2×C414yes—
84D4×Dic43—22no—
85D4×Dic43C2×C414yes—
86(C22⋊D43)⋊C4—28no—
87C2×C4⋊Dic43—21no—
88C2×C4⋊Dic43—21no—
89C2×C4⋊Dic43—21no—
90C2×C4⋊Dic43D411yescharacteristic
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×Dic43⋊C4—21no—
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4D411yescharacteristic
99C2×Dic43⋊C4D411yescharacteristic
100C2×C22⋊Dic43—21no—
101C2×(C2×D43)⋊C4—21no—
102C2×(C2×D43)⋊C4—21no—
103C2×(C2×D43)⋊C4—21no—
104C2×C4×Dic43—21no—
105C2×C4×Dic43—21no—
106C2×C4×Dic43—21no—
107C2×C4×Dic43C2311yescharacteristic
108C2×C4×Dic43C2311yescharacteristic
109Dic43⋊C8—22no—
110Dic43⋊C8—22no—
111#13063249—22no—
112#13063249—41no—
113#13063247—41no—
114#13063247—41no—
115#13063246—22no—
116#13063246—41no—
117#13063245—22no—
118#13063245—22no—
119#13063236—22no—
120#13063235—22no—
121C8×Dic43—22no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C22×Q8×C43C2311yescharacteristic
125C22×D4×C43C2311yescharacteristic
126C22×C8×C43C2311yescharacteristic
127C22×C8×C43C2311yescharacteristic
128#124×C43—22no—
129#124×C43C2×C414yes—
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C22⋊C4×C43—21no—
133C2×C22⋊C4×C43—21no—
134C2×C42×C43—21no—
135C2×C42×C43C2311yescharacteristic
136C4⋊C8×C43—22no—
137#103×C43—22no—
138#103×C43—41no—
139#102×C43—22no—
140#102×C43—41no—
141#95×C43—21no—
142C24×C43—21no—
143C23×D43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43C22×C412yes—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43C22×C412yes—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2411yescharacteristic
162C2×C22⋊D43—24no—
163C2×C22⋊D43—24no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—42no—
166C2×C22⋊D43—81no—
167C2×C22⋊D43—81no—
168C22×Dic43—24no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—81no—
173C22×Dic43—81no—
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C22×Dic43C2×D411yescharacteristic
178C2×D172—21no—
179C2×D172—21no—
180C2×D172—21no—
181C2×D172—21no—
182C2×D172—21no—
183C2×D172C22×C412yes—
184C2×C4×D43—24no—
185C2×C4×D43—81no—
186C2×C4×D43—81no—
187C2×Dic86—22no—
188C2×Dic86—22no—
189C2×Dic86C22⋊C414yes—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43#4112yes—
200C22⋊C4×C43—24no—
201C22⋊C4×C43—24no—
202C42×C43—42no—
203C42×C43C22×C412yes—
204C42×C43C2×D412yes—
205C22⋊Dic43—24no—
206(C2×D43)⋊C4—24no—
207(C2×D43)⋊C4—24no—
208(C2×D43)⋊C4—24no—
209C4⋊Dic43—21no—
210C4⋊Dic43—24no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—42no—
216C4⋊Dic43—81no—
217C4⋊Dic43C22⋊C414yes—
218C4⋊Dic43C22×C412yes—
219Dic43⋊C4—42no—
220Dic43⋊C4—42no—
221Dic43⋊C4—81no—
222Dic43⋊C4—81no—
223Dic43⋊C4C22⋊C414yes—
224Dic43⋊C4C22⋊C414yes—
225C4×Dic43—24no—
226C4×Dic43—42no—
227C4×Dic43—42no—
228C4×Dic43C22×C412yes—
229C4×Dic43C22×C412yes—
230C4×Dic43C2×D412yes—
231C4×Dic43C2×D412yes—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8#4112yes—
238C23×C43—22no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43C22×D411yescharacteristic
246C22×D43—22no—
247C22×D43—41no—
248C22×D43—41no—
249C22×D43—41no—
250C22×D43—41no—
251C22×D43—41no—
252C22×D43—41no—
253Q8×C43—22no—
254Q8×C43—22no—
255Q8×C43—41no—
256Q8×C43—41no—
257D4×C43—22no—
258D4×C43—22no—
259D4×C43—41no—
260D4×C43—41no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43C2×C22⋊C412yes—
275C2×C4×C43C2×C22⋊C412yes—
276C2×C4×C43C23×C411yescharacteristic
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C43C2×#4111yescharacteristic
280C2×C4×C43H(5,𝔽2)11yescharacteristic
281C2×C4×C432−1+411yescharacteristic
282C22⋊D43—48no—
283C22⋊D43—84no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—22no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—84no—
300C2×Dic43C2×C22⋊C412yes—
301C2×Dic43C2×C22⋊C412yes—
302C2×Dic43C2×C22⋊C412yes—
303C2×Dic43C2×C22⋊C412yes—
304C2×Dic43AGL(1,ℤ/8)12yes—
305C2×Dic43#13712yes—
306D172—22no—
307D172—22no—
308D172—41no—
309D172—41no—
310C4×D43—84no—
311Dic86—28no—
312C8×C43—41no—
313C8×C43—41no—
314C43⋊C8—22no—
315C43⋊C8—41no—
316#22546—431nomaximal, Sylow
317C22×C43—42no—
318C22×C43—42no—
319C22×C43—42no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43C22×C22⋊C411yescharacteristic
325C22×C43#54811yescharacteristic
326C22×C43#55011yescharacteristic
327C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C43C2×#13711yescharacteristic
329C22×C43#57611yescharacteristic
330C22×C43#57711yescharacteristic
331C2×D43—42no—
332C2×D43—42no—
333C2×D43—42no—
334C2×D43—81no—
335C2×D43—81no—
336C2×D43—81no—
337C2×D43—81no—
338C4×C43—22no—
339C4×C43—22no—
340C4×C43—42no—
341C4×C43—42no—
342C4×C43—81no—
343C4×C43C4×#4111yescharacteristic
344C4×C43#52011yescharacteristic
345C4×C43#54811yescharacteristic
346C4×C43#55011yescharacteristic
347Dic43—22no—
348Dic43—22no—
349Dic43—22no—
350Dic43—42no—
351Dic43—81no—
352Dic43—81no—
353Dic43#41714yes—
354C2×#559—431no—
355C2×#446—431no—
356Q8×C4⋊C4—431no—
357#1983—431no—
358#1983D4311yescharacteristic, complemented
359#1982—431no—
360#1959—431no—
361#1959—431no—
362#1957—431no—
363#1803—431no—
364#1802—431no—
365#1802—431no—
366#1762—431no—
367#1762—431no—
368C4×#103—431no—
369C2×C43—82no—
370C2×C43#234111yescharacteristic
371C2×C43C2×#41711yescharacteristic
372C2×C43#289711yescharacteristic
373C2×C43#337311yescharacteristic
374C2×C43#337511yescharacteristic
375C2×C43#339911yescharacteristic
376C2×C43#340011yescharacteristic
377D43—82no—
378#559—438no—
379#559—864no—
380C2×#127—431no—
381C2×#124—431no—
382C2×#124—861no—
383C2×#124C2×D4311yescharacteristic
384C2×#123—861no—
385C2×#123—861no—
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—861no—
389C2×C4×D4—431no—
390C2×C4×D4—431no—
391C2×C4×D4—861no—
392#446—864no—
393C2×C4⋊C8—431no—
394C2×C4⋊C8—431no—
395C2×C4⋊C8C2×D4311yescharacteristic
396C2×#103—431no—
397C2×#103—431no—
398C2×#103C2×D4311yescharacteristic
399C2×#103C2×D4311yescharacteristic
400C2×#102—431no—
401C2×#102—431no—
402C2×#102—431no—
403C2×#102—431no—
404C2×#102—431no—
405C2×#102—431no—
406C2×#102C2×D4311yescharacteristic
407C2×#102C2×D4311yescharacteristic
408C2×#97—431no—
409C2×#97—431no—
410C2×C4×C8—431no—
411#389—861no—
412#389—861no—
413#389—861no—
414#384—431no—
415#384—431no—
416#384—431no—
417C4×C4⋊C4—431no—
418C4×C4⋊C4—431no—
419C4×C4⋊C4C2×D4311yescharacteristic
420#340—431no—
421#340—431no—
422#340—431no—
423#340—431no—
424C43#2254611yescharacteristic, complemented, Sylow
425C22×Q8—431no—
426C22×Q8C22×D4311yescharacteristic
427C22×D4—431no—
428C22×D4—861no—
429C22×D4—861no—
430C22×D4C22×D4311yescharacteristic
431C23×C4—861no—
432C23×C4—861no—
433C22×C8—431no—
434C22×C8—431no—
435C22×C8C22×D4311yescharacteristic
436C22×C8C22×D4311yescharacteristic
437#127—434no—
438#127—862no—
439#124—22no—
440#124—434no—
441#124—862no—
442#124—868no—
443#124C4×D4314yes—
444#123—868no—
445#123—868no—
446C4×Q8—434no—
447C4×Q8—434no—
448C4×Q8—434no—
449C4×Q8—862no—
450C4×Q8—1724no—
451C4×D4—434no—
452C4×D4—434no—
453C4×D4—862no—
454C4×D4—868no—
455C4×D4—862no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—431no—
458C2×C4⋊C4—431no—
459C2×C4⋊C4—431no—
460C2×C4⋊C4—431no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4—861no—
467C2×C4⋊C4—861no—
468C2×C4⋊C4—861no—
469C2×C4⋊C4C22×D4311yescharacteristic
470C2×C4⋊C4C22×D4311yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—861no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4—861no—
476C2×C22⋊C4—861no—
477C2×C42—21no—
478C2×C42—431no—
479C2×C42—431no—
480C2×C42—861no—
481C2×C42—861no—
482C2×C42—861no—
483C2×C42C22×D4311yescharacteristic
484C4⋊C8—22no—
485C4⋊C8—862no—
486C4⋊C8—862no—
487#103—22no—
488#103—41no—
489#103—862no—
490#103—1721no—
491#102—22no—
492#102—41no—
493#102—862no—
494#102—862no—
495#102—862no—
496#102—1721no—
497#102—1721no—
498#102—1721no—
499#97—862no—
500#97—862no—
501C4×C8—862no—
502#95—21no—
503#95—861no—
504#95—861no—
505C24—21no—
506C24—861no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—434no—
513C2×Q8—862no—
514C2×Q8—862no—
515C2×Q8C2×C4×D4312yes—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—432no—
522C2×D4—864no—
523C2×D4—864no—
524C2×D4—861no—
525C2×D4—861no—
526C2×D4—861no—
527C2×D4—861no—
528C2×D4—861no—
529C2×D4—3441no—
530C2×D4—3441no—
531C2×D4—1722no—
532C2×D4—1722no—
533C2×D4C2×C4×D4312yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—431no—
538C22×C4—431no—
539C22×C4—431no—
540C22×C4—431no—
541C22×C4—864no—
542C22×C4—861no—
543C22×C4—864no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—3441no—
547C22×C4—3441no—
548C22×C4—3441no—
549C22×C4—3441no—
550C22×C4D4×D4311yescharacteristic
551C22×C4D4×D4311yescharacteristic
552C22×C4C23×D4311yescharacteristic
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—432no—
560C2×C8—861no—
561C2×C8—861no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—434no—
569C4⋊C4—434no—
570C4⋊C4—434no—
571C4⋊C4—432no—
572C4⋊C4—864no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—861no—
577C4⋊C4—861no—
578C4⋊C4—3441no—
579C4⋊C4—3441no—
580C4⋊C4—3441no—
581C4⋊C4—1722no—
582C4⋊C4—1722no—
583C4⋊C4—1722no—
584C4⋊C4#1062190012yes—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—864no—
588C22⋊C4—864no—
589C22⋊C4—864no—
590C22⋊C4—864no—
591C42—42no—
592C42—432no—
593C42—432no—
594C42—432no—
595C42—432no—
596C42—864no—
597C42—1722no—
598C42—1722no—
599C42C2×C4×D4312yes—
600C42D4×D4312yes—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—862no—
609C23—1721no—
610C23—1721no—
611C23—1721no—
612C23—1721no—
613C23—1721no—
614C23—1721no—
615C23C2×D4×D4311yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—41no—
619Q8—41no—
620Q8—868no—
621D4—22no—
622D4—22no—
623D4—41no—
624D4—41no—
625D4—862no—
626D4—862no—
627D4—3444no—
628D4—1728no—
629D4—1721no—
630D4—1721no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—432no—
645C2×C4—432no—
646C2×C4—432no—
647C2×C4—432no—
648C2×C4—432no—
649C2×C4—432no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—861no—
654C2×C4—861no—
655C2×C4—861no—
656C2×C4—862no—
657C2×C4—3444no—
658C2×C4—3444no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4C22⋊C4×D4312yes—
668C2×C4C22⋊C4×D4312yes—
669C2×C4C22×C4×D4311yescharacteristic
670C2×C4C2×D4×D4311yescharacteristic
671C2×C4#41×D4311yescharacteristic
672C2×C4C2×#1062190011yescharacteristic
673C2×C4#1306337011yescharacteristic
674C2×C4#1306337211yescharacteristic
675C8—41no—
676C8—41no—
677C8—862no—
678C8—1721no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—3441no—
687C22—3441no—
688C22—3441no—
689C22—3441no—
690C22—1722no—
691C22—1722no—
692C22—1722no—
693C22C2×C22⋊C4×D4311yescharacteristic
694C22#1458355511yescharacteristic
695C22#1458356711yescharacteristic
696C22AGL(1,ℤ/8)×D4311yescharacteristic
697C22#137×D4311yescharacteristic
698C22#1458370111yescharacteristic
699C22#1458370611yescharacteristic
700C4—22no—
701C4—22no—
702C4—42no—
703C4—42no—
704C4—81no—
705C4—434no—
706C4—862no—
707C4—862no—
708C4—862no—
709C4—3441no—
710C4—3441no—
711C4—1722no—
712C4C4×#1062190011yescharacteristic
713C4#1458337811yescharacteristic
714C4#1458355711yescharacteristic
715C4#1458356911yescharacteristic
716C2—82no—
717C2—3442no—
718C2#1913743411yescharacteristic
719C2#417×D4311yescharacteristic
720C2#1914311711yescharacteristic
721C2#1914738211yescharacteristic
722C2#1914740411yescharacteristic
723C2#1914763211yescharacteristic
724C2#1914765111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1983C2
socleC23×C43C22×D4
prime radicalC2×#13063321C22
cosocleC22×C4×C43C24
hypercenter#1983D43
hypocenterC43#22546
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1983

Complements

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

NH ≅ G/Ntype
2. C2×#14583028C2semidirect
3. C4⋊C4×Dic86C2semidirect
4. #19135524C2semidirect
6. #19135412C2semidirect
7. #19135408C2semidirect
9. #19134598C2semidirect
10. #19134596C2semidirect
11. #19134593C2semidirect
12. #19134423C2semidirect
13. #19134422C2semidirect
14. #103×Dic43C2semidirect
15. C43×#1983C2semidirect
17. #14583631C4semidirect
358. #1983D43semidirect
424. C43#22546semidirect

Maximal subgroups

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

subgroupindex
C2×#145836312
C2×#145830282
C4⋊C4×Dic862
#191355242
#191355202
#191354122
#191354082
#191353992
#191345982
#191345962
#191345932
#191344232
#191344222
#103×Dic432
C43×#19832
#2254643