Finite Group Databasebeta

← #25140409

Subgroups — #25140409

Order 11008.

1016 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583037C211yesmaximal, characteristic
2C2×C4×#10621883C211yesmaximal, characteristic, complemented
3C22⋊C4×Dic86C211yesmaximal, characteristic, complemented
4#19136139C211yesmaximal, characteristic, complemented
5#19136031C211yesmaximal, characteristic, complemented
6#19135912C211yesmaximal, characteristic, complemented
7#19135781C211yesmaximal, characteristic
8#19135270C211yesmaximal, characteristic, complemented
9#19135203C211yesmaximal, characteristic, complemented
10#19134953C211yesmaximal, characteristic, complemented
11#19134929C211yesmaximal, characteristic, complemented
12#19134862C211yesmaximal, characteristic, complemented
13#19134597C211yesmaximal, characteristic, complemented
14#19134529C211yesmaximal, characteristic, complemented
15C43×#2422C211yesmaximal, characteristic
16C23×Dic86C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C22×#10621883C2211yescharacteristic
19C2×C4×Dic86C2211yescharacteristic
20C2×C4×Dic86C2211yescharacteristic
21#14583037—24no—
22C4×#10621883—24no—
23C2×#13063256C2211yescharacteristic
24C2×#13063256C2211yescharacteristic
25C2×C4⋊(C43⋊C8)C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063248C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×#13063248C2211yescharacteristic
31C2×#13063248C2211yescharacteristic
32C2×#13063246C2211yescharacteristic
33C2×#13063246C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×C22⋊(C43⋊C8)C2211yescharacteristic
36C2×C4×C43⋊C8C2211yescharacteristic
37#14582805C2211yescharacteristic
38#14582805C2211yescharacteristic
39#14582803—21no—
40#14582803—21no—
41#14582759C2211yescharacteristic
42#14582757—21no—
43C22⋊C4×Dic43—21no—
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C2×#123×C43—21no—
51C2×#121×C43C2211yescharacteristic
52C2×C4×D4×C43C2211yescharacteristic
53C43×#397—21no—
54C43×#394—21no—
55C43×#390C2211yescharacteristic
56C43×#389C2211yescharacteristic
57C43×#385—21no—
58C43×#384C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C4×C22⋊C4×C43C2211yescharacteristic
61C22×Dic86—21no—
62C22×Dic86—22no—
63C22×Dic86—22no—
64C22×Dic86—22no—
65C22×Dic86—22no—
66C22×Dic86—41no—
67C22×Dic86—41no—
68C22×Dic86C2311yescharacteristic
69C22×Dic86C2311yescharacteristic
70C23×Dic43—21no—
71C2×#10621883—22no—
72C2×#10621883—22no—
73C2×#10621883—22no—
74C2×#10621883—22no—
75C2×#10621883—41no—
76C2×#10621883D414yes—
77C22×C43⋊C8C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79C22×C43⋊C8C2311yescharacteristic
80C22×C43⋊C8C2311yescharacteristic
81C4×Dic86—22no—
82C4×Dic86—22no—
83C4×Dic86—41no—
84C4×Dic86—41no—
85C2×C4⋊Dic43C2311yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×C22⋊Dic43—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92#13063256—22no—
93#13063256—41no—
94C4⋊(C43⋊C8)—41no—
95#13063248—22no—
96#13063248—22no—
97#13063248—22no—
98#13063248—22no—
99#13063248—22no—
100#13063248—41no—
101#13063246—22no—
102#13063246—41no—
103C22⋊(C43⋊C8)—22no—
104C22⋊(C43⋊C8)—41no—
105C4×C43⋊C8—22no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C22×D4×C43—21no—
112C22×D4×C43C2311yescharacteristic
113C23×C4×C43—21no—
114C23×C4×C43C2311yescharacteristic
115#123×C43—44no—
116#121×C43—22no—
117#121×C43—41no—
118C4×D4×C43—22no—
119C4×D4×C43—41no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43—21no—
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C22⋊C4×C43—21no—
127C2×C22⋊C4×C43—21no—
128C2×C22⋊C4×C43—21no—
129C2×C22⋊C4×C43—21no—
130C2×C22⋊C4×C43—21no—
131C2×C22⋊C4×C43D411yescharacteristic
132C2×C22⋊C4×C43D411yescharacteristic
133C2×C42×C43C2311yescharacteristic
134C2×C42×C43C2311yescharacteristic
135#95×C43—21no—
136#95×C43—21no—
137#95×C43D411yescharacteristic
138#95×C43D411yescharacteristic
139C24×C43—21no—
140C24×C43C2×D411yescharacteristic
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43—42no—
147C2×D4×C43—42no—
148C2×D4×C43—81no—
149C2×D4×C43C2×D412yes—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—42no—
160C22×C4×C43—42no—
161C22×C4×C43—81no—
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2×D411yescharacteristic
165C22×C4×C43C2×D411yescharacteristic
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2411yescharacteristic
168C22×Dic43—24no—
169C22×Dic43—21no—
170C22×Dic43—21no—
171C22×Dic43—21no—
172C22×Dic43—21no—
173C22×Dic43—42no—
174C22×Dic43—42no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86—24no—
183C2×Dic86—21no—
184C2×Dic86—44no—
185C2×Dic86—44no—
186C2×Dic86—44no—
187C2×Dic86—42no—
188C2×Dic86—42no—
189C2×Dic86—44no—
190C2×Dic86C2×D412yes—
191C2×Dic86#4112yes—
192C2×Dic86#4112yes—
193C2×Dic86#4112yes—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—42no—
201C4⋊C4×C43—42no—
202C4⋊C4×C43—81no—
203C22⋊C4×C43—41no—
204C22⋊C4×C43—42no—
205C22⋊C4×C43—42no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—42no—
208C22⋊C4×C43—42no—
209C22⋊C4×C43SD1614yescomplemented
210C42×C43—21no—
211C42×C43—21no—
212C42×C43—21no—
213C42×C43—21no—
214C22⋊Dic43—42no—
215#10621883—28no—
216#10621883—44no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—21no—
220C4⋊Dic43—21no—
221Dic43⋊C4—42no—
222Dic43⋊C4—42no—
223C4×Dic43—42no—
224C4×Dic43—42no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8C2×D412yes—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—21no—
243C23×C43—22no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—41no—
249C23×C43—41no—
250C23×C43C2×SD1612yes—
251C23×C43C22×D411yescharacteristic
252D4×C43—22no—
253D4×C43—22no—
254D4×C43—41no—
255D4×C43—41no—
256D4×C43—84no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
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×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43—84no—
284C2×C4×C43C2×SD1612yes—
285C2×C4×C43C2×SD1612yes—
286C2×C4×C43C22×D411yescharacteristic
287C2×C4×C43C2×#4111yescharacteristic
288C2×C4×C43C2×#4111yescharacteristic
289C2×C4×C43C2×#4111yescharacteristic
290C2×C4×C43H(5,𝔽2)11yescharacteristic
291C2×C4×C43H(5,𝔽2)11yescharacteristic
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—48no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43—41no—
303C2×Dic43—41no—
304C2×Dic43—41no—
305Dic86—22no—
306Dic86—22no—
307Dic86—22no—
308Dic86—22no—
309Dic86—22no—
310Dic86—48no—
311Dic86—41no—
312Dic86—41no—
313Dic86#12314yescomplemented
314C43⋊C8—22no—
315C43⋊C8—41no—
316C43⋊C8—41no—
317C43⋊C8—41no—
318#24898—431nomaximal, Sylow
319C22×C43—22no—
320C22×C43—22no—
321C22×C43—22no—
322C22×C43—41no—
323C22×C43—41no—
324C22×C43—41no—
325C22×C43—41no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—42no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43—81no—
333C22×C43#52511yescharacteristic
334C22×C43D4211yescharacteristic
335C22×C43#54611yescharacteristic
336C22×C43C22×SD1611yescharacteristic
337C22×C43#57511yescharacteristic
338C22×C43#57711yescharacteristic
339C22×C43#57811yescharacteristic
340C4×C43—22no—
341C4×C43—22no—
342C4×C43—41no—
343C4×C43—41no—
344C4×C43—41no—
345C4×C43—81no—
346C4×C43—81no—
347C4×C43—81no—
348C4×C43C2×#12311yescharacteristic
349C4×C43#53811yescharacteristic
350C4×C43#54611yescharacteristic
351C4×C43#55111yescharacteristic
352Dic43—24no—
353Dic43—42no—
354Dic43—81no—
355Dic43—81no—
356C2×#448—431no—
357C2×C4×SD16—431no—
358#2422D4311yescharacteristic
359Q8×C22⋊C4—431no—
360#2096—431no—
361#2077—431no—
362#2055—431no—
363#2034—431no—
364#1933—431no—
365#1923—431no—
366#1880—431no—
367#1877—431no—
368#1865—431no—
369#1803—431no—
370#1787—431no—
371C2×C43—42no—
372C2×C43—82no—
373C2×C43#241811yescharacteristic
374C2×C43#310311yescharacteristic
375C2×C43#312111yescharacteristic
376C2×C43#326911yescharacteristic
377C2×C43D4×SD1611yescharacteristic
378C2×C43#329811yescharacteristic
379C2×C43#332611yescharacteristic
380C23×Q8—431no—
381C22×SD16—431no—
382C22×SD16—431no—
383C2×#123—21no—
384C2×#121C2×D4311yescharacteristic
385C2×C4×Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×D4C2×D4311yescharacteristic
388#448—864no—
389C4×SD16—864no—
390C2×#106—431no—
391C2×#106—431no—
392C2×C4⋊C8—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—431no—
397C2×#103—431no—
398C2×#103—431no—
399C2×#102—431no—
400C2×#102—431no—
401C2×C22⋊C8—431no—
402C2×C22⋊C8—431no—
403C2×C4×C8—431no—
404#397—21no—
405#394—21no—
406#391—431no—
407#391—431no—
408#391—861no—
409#391—861no—
410#390C2×D4311yescharacteristic
411#389C2×D4311yescharacteristic
412#385—21no—
413#384C2×D4311yescharacteristic
414#380—431no—
415#380—861no—
416#380C2×D4311yescharacteristic
417C4×C22⋊C4—861no—
418C4×C22⋊C4C2×D4311yescharacteristic
419#340—431no—
420#340—431no—
421#340—431no—
422#340—431no—
423#336—431no—
424#336—431no—
425C43#2489811yescharacteristic, complemented, Sylow
426C22×Q8—431no—
427C22×Q8—431no—
428C22×Q8—862no—
429C22×Q8—862no—
430C22×Q8—862no—
431C22×Q8—862no—
432C22×Q8—861no—
433C22×Q8—1721no—
434C22×Q8—1721no—
435C22×D4—21no—
436C22×D4C22×D4311yescharacteristic
437C23×C4—21no—
438C23×C4—861no—
439C23×C4C22×D4311yescharacteristic
440C2×SD16—434no—
441C2×SD16—862no—
442C2×SD16—862no—
443C2×SD16—862no—
444C2×SD16—862no—
445C2×SD16—1721no—
446C22×C8—431no—
447C22×C8—431no—
448C22×C8—431no—
449C22×C8—431no—
450#123—44no—
451#121—22no—
452#121—41no—
453C4×Q8—862no—
454C4×Q8—862no—
455C4×Q8—1721no—
456C4×Q8—1721no—
457C4×D4—22no—
458C4×D4—41no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—431no—
463C2×C4⋊C4—431no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4—861no—
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C4⋊C4C22×D4311yescharacteristic
468C2×C4⋊C4C22×D4311yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—861no—
475C2×C22⋊C4C22⋊D4311yescharacteristic
476C2×C22⋊C4C22⋊D4311yescharacteristic
477C2×C42—861no—
478C2×C42—861no—
479C2×C42C22×D4311yescharacteristic
480C2×C42C22×D4311yescharacteristic
481#106—862no—
482#106—1721no—
483C4⋊C8—1721no—
484#103—862no—
485#103—862no—
486#103—862no—
487#103—862no—
488#103—862no—
489#103—1721no—
490#102—862no—
491#102—1721no—
492C22⋊C8—862no—
493C22⋊C8—1721no—
494C4×C8—862no—
495#95—21no—
496#95—21no—
497#95—861no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95C22⋊D4311yescharacteristic
503#95C22⋊D4311yescharacteristic
504C24—21no—
505C24C2×C22⋊D4311yescharacteristic
506C2×Q8—432no—
507C2×Q8—432no—
508C2×Q8—432no—
509C2×Q8—432no—
510C2×Q8—864no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8—861no—
518C2×Q8—861no—
519C2×Q8—1722no—
520C2×Q8—1722no—
521C2×Q8—1724no—
522C2×Q8—1724no—
523C2×Q8—1724no—
524C2×Q8—1724no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—42no—
531C2×D4—42no—
532C2×D4—81no—
533C2×D4D4×D4312yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—81no—
546C22×C4—861no—
547C22×C4—864no—
548C22×C4—861no—
549C22×C4—861no—
550C22×C4—861no—
551C22×C4—1722no—
552C22×C4—1722no—
553C22×C4C2×C22⋊D4311yescharacteristic
554C22×C4C2×C22⋊D4311yescharacteristic
555C22×C4C2×C22⋊D4311yescharacteristic
556C22×C4C2×C22⋊D4311yescharacteristic
557C22×C4C2×C22⋊D4311yescharacteristic
558C22×C4C23×D4311yescharacteristic
559SD16—868no—
560SD16—1724no—
561C2×C8—432no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—861no—
569C2×C8—861no—
570C2×C8—861no—
571C2×C8—861no—
572C2×C8—861no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—81no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—1722no—
587C4⋊C4—1722no—
588C22⋊C4—41no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—1722no—
595C22⋊C4#1062188314yescomplemented
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—1722no—
601C42—1722no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23C2×#1062188312yes—
616C23C22×C22⋊D4311yescharacteristic
617Q8—434no—
618Q8—862no—
619Q8—862no—
620Q8—862no—
621Q8—862no—
622Q8—862no—
623Q8—1728no—
624Q8—1721no—
625Q8—1721no—
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—84no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—84no—
658C2×C4—862no—
659C2×C4—862no—
660C2×C4—862no—
661C2×C4—862no—
662C2×C4—1728no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1721no—
666C2×C4—1721no—
667C2×C4—1721no—
668C2×C4—1721no—
669C2×C4—1721no—
670C2×C4—1721no—
671C2×C4C2×#1062188312yes—
672C2×C4C2×#1062188312yes—
673C2×C4C2×D4×D4311yescharacteristic
674C2×C4#41×D4311yescharacteristic
675C2×C4#41×D4311yescharacteristic
676C2×C4#41×D4311yescharacteristic
677C2×C4#1306337011yescharacteristic
678C2×C4#1306337111yescharacteristic
679C8—862no—
680C8—1721no—
681C8—1721no—
682C8—1721no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22#1458340611yescharacteristic
698C22D4×C22⋊D4311yescharacteristic
699C22#1458353711yescharacteristic
700C22C22×#1062188311yescharacteristic
701C22#1458369711yescharacteristic
702C22#1458371011yescharacteristic
703C22#1458371411yescharacteristic
704C4—22no—
705C4—22no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—81no—
710C4—81no—
711C4—81no—
712C4—864no—
713C4—3441no—
714C4—3441no—
715C4—1722no—
716C4#123×D4311yescharacteristic
717C4#1458348511yescharacteristic
718C4#1458354111yescharacteristic
719C4#1458357711yescharacteristic
720C2—42no—
721C2—82no—
722C2#1913805411yescharacteristic
723C2#1914462211yescharacteristic
724C2#1914481811yescharacteristic
725C2#1914614611yescharacteristic
726C2D4×#1062188311yescharacteristic
727C2#1914645411yescharacteristic
728C2#1914684211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2422C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
hypercenter#2422D43
hypocenterC43#24898
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2422

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621883C2semidirect
3. C22⋊C4×Dic86C2semidirect
4. #19136139C2semidirect
5. #19136031C2semidirect
6. #19135912C2semidirect
8. #19135270C2semidirect
9. #19135203C2semidirect
10. #19134953C2semidirect
11. #19134929C2semidirect
12. #19134862C2semidirect
13. #19134597C2semidirect
14. #19134529C2semidirect
209. C22⋊C4×C43SD16semidirect
313. Dic86#123semidirect
425. C43#24898semidirect
595. C22⋊C4#10621883semidirect

Maximal subgroups

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

subgroupindex
C2×#145830372
C2×C4×#106218832
C22⋊C4×Dic862
#191361392
#191360312
#191359122
#191357812
#191352702
#191352032
#191349532
#191349292
#191348622
#191345972
#191345292
C43×#24222
#2489843