Finite Group Databasebeta

← D43×#2879 #25960034

Subgroups — D43×#2879 #25960034

Order 11008.

5150 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D43C211yesmaximal, characteristic
2C22×M16×D43C212yesmaximal, complemented
3#19143040C211yesmaximal, characteristic, complemented
4#19143039C212yesmaximal, complemented
5#19143038C214yesmaximal, complemented
6#19143037C218yesmaximal, complemented
7#408×D43C218yesmaximal, complemented
8#407×D43C214yesmaximal, complemented
9C43×#2879C211yesmaximal, characteristic, complemented
10C22×#10621902C411yescharacteristic
11C22×#10621898C2212yes—
12C22×#10621898C2211yescharacteristic
13C22×#10621900C412yes—
14C22×#10621900C411yescharacteristic
15C2×#41×D43—216no—
16C2×#41×D43C414yes—
17C2×#41×D43C414yes—
18C2×#41×D43C2214yes—
19C2×#41×D43C2214yes—
20C22×Q8×D43C411yescharacteristic
21C22×D4×D43C412yes—
22C22×D4×D43C411yescharacteristic
23C23×C4×D43C2212yes—
24C23×C4×D43C2211yescharacteristic
25C22×#10621877C2212yescomplemented
26C22×#10621872C2214yescomplemented
27C2×M16×D43—216no—
28C2×M16×D43C2214yes—
29C2×M16×D43C2214yescomplemented
30C2×M16×D43C2214yescomplemented
31C2×M16×D43C2214yescomplemented
32C22×C8×D43C2214yescomplemented
33#14582867C2218yescomplemented
34#14582866C2218yescomplemented
35#14582865C2218yescomplemented
36#14582864C22132yescomplemented
37#14582863C2214yescomplemented
38#14582862C2218yescomplemented
39#14582861C22116yescomplemented
40C22⋊C8×D43C22116yescomplemented
41C22×#41×C43C2211yescharacteristic
42C22×M16×C43C2212yescomplemented
43C43×#408C2218yescomplemented
44C43×#407C2214yescomplemented
45C24×D43C2×C412yes—
46C24×D43C2×C411yescharacteristic
47C2×#10621902—28no—
48C2×#10621902C2×C414yes—
49C2×#10621902C2×C414yes—
50C2×#10621898—28no—
51C2×#10621898—216no—
52C2×#10621898C2×C414yes—
53C2×#10621898C2×C418yes—
54C2×#10621898C2318yes—
55C2×#10621898C2314yes—
56C2×#10621900—216no—
57C2×#10621900—28no—
58C2×#10621900C2×C418yes—
59C2×#10621900C2×C418yes—
60C2×#10621900C2×C414yes—
61C2×#10621900C2×C414yes—
62#41×D43—232no—
63#41×D43—232no—
64#41×D43—216no—
65#41×D43—216no—
66#41×D43—216no—
67#41×D43—216no—
68C22×Dic86C2×C411yescharacteristic
69C22×Dic86C2×C412yes—
70C2×Q8×D43—28no—
71C2×Q8×D43C2×C414yes—
72C2×Q8×D43C2×C414yes—
73C22×D172C2×C411yescharacteristic
74C22×D172C2×C412yes—
75C22×C22⋊D43C2×C412yes—
76C22×C22⋊D43C2×C412yes—
77C22×C22⋊D43C2×C412yes—
78C2×D4×D43—216no—
79C2×D4×D43—28no—
80C2×D4×D43C2×C418yes—
81C2×D4×D43C2×C418yes—
82C2×D4×D43C2×C414yes—
83C2×D4×D43C2×C414yes—
84C23×Dic43C2×C412yes—
85C23×Dic43C2×C411yescharacteristic
86C22×C4×D43—216no—
87C22×C4×D43C2×C412yes—
88C22×C4×D43C2×C414yes—
89C22×C4×D43C2×C414yes—
90C22×C4×D43C2×C412yes—
91C22×C4×D43C2×C411yescharacteristic
92C22×C4×D43C2×C412yes—
93C22×C4×D43C2×C412yes—
94C22×C4×D43C2×C411yescharacteristic
95C22×C4×D43D4116yes—
96C22×C4×D43C2314yes—
97C22×C4×D43C2314yes—
98C22×C4×D43C2312yes—
99C22×C4×D43C2312yes—
100C22×C4×D43C2311yescharacteristic
101C22×C4×D43C2311yescharacteristic
102C22×C4×D43C2312yes—
103C2×#10621877—28no—
104C2×#10621877C2314yes—
105C2×#10621877C2314yescomplemented
106C2×#10621872—216no—
107C2×#10621872C2318yes—
108C2×#10621872C2318yescomplemented
109M16×D43—216no—
110M16×D43—216no—
111M16×D43—216no—
112M16×D43—216no—
113C22×C43⋊C8C2314yescomplemented
114C2×C8×D43—216no—
115C2×C8×D43C2318yes—
116C2×C8×D43C2318yescomplemented
117C22⋊(C43⋊C8)C23116yescomplemented
118(C2×D43)⋊C8C23132yescomplemented
119C2×#41×C43—28no—
120C2×#41×C43C2×C414yes—
121C2×#41×C43C2314yes—
122C22×Q8×C43C2×C411yescharacteristic
123C22×D4×C43C2×C412yes—
124C22×D4×C43C2×C411yescharacteristic
125C23×C4×C43C2312yes—
126C23×C4×C43C2311yescharacteristic
127C2×M16×C43—28no—
128C2×M16×C43C2314yes—
129C2×M16×C43C2314yescomplemented
130C22×C8×C43C2314yescomplemented
131C22⋊C8×C43C23116yescomplemented
132C24×C43C22×C412yes—
133C24×C43C22×C411yescharacteristic
134C23×D43—28no—
135C23×D43—44no—
136C23×D43—48no—
137C23×D43C22⋊C418yes—
138C23×D43C22×C414yes—
139C23×D43C22×C411yescharacteristic
140C23×D43C22×C412yes—
141C23×D43C22×C414yes—
142C23×D43C22×C412yes—
143C23×D43C22×C412yes—
144C23×D43C22×C411yescharacteristic
145#41×C43—216no—
146#41×C43—28no—
147#41×C43—28no—
148C2×Q8×C43—24no—
149C2×Q8×C43C22×C414yes—
150C2×D4×C43—24no—
151C2×D4×C43—28no—
152C2×D4×C43C22×C414yes—
153C2×D4×C43C22×C418yes—
154C22×C4×C43—28no—
155C22×C4×C43C22×C412yes—
156C22×C4×C43C22×C414yes—
157C22×C4×C43C22×C411yescharacteristic
158C22×C4×C43C22×C412yes—
159C22×C4×C43C2×D418yes—
160C22×C4×C43C2414yes—
161C22×C4×C43C2412yes—
162C22×C4×C43C2411yescharacteristic
163C2×C22⋊D43—28no—
164C2×C22⋊D43—28no—
165C2×C22⋊D43—28no—
166C2×C22⋊D43C22×C418yes—
167C2×C22⋊D43C22×C418yes—
168C2×C22⋊D43C22×C418yes—
169C22×Dic43—28no—
170C22×Dic43C22⋊C418yes—
171C22×Dic43C22×C412yes—
172C22×Dic43C22×C414yes—
173C22×Dic43C22×C414yes—
174C22×Dic43C22×C411yescharacteristic
175C22×Dic43C22×C411yescharacteristic
176C22×Dic43C22×C412yes—
177C22×Dic43C22×C412yes—
178#10621902—216no—
179#10621902—216no—
180Q8×D43—216no—
181Q8×D43—216no—
182#10621900—232no—
183#10621900—232no—
184#10621900—216no—
185#10621900—216no—
186D4×D43—216no—
187D4×D43—216no—
188D4×D43—232no—
189D4×D43—232no—
190#10621898—216no—
191#10621898—28no—
192#10621898—28no—
193#10621898—232no—
194#10621898—216no—
195#10621898—216no—
196C2×D172—24no—
197C2×D172—28no—
198C2×D172C22×C414yes—
199C2×D172C22×C418yes—
200C2×C4×D43—28no—
201C2×C4×D43—28no—
202C2×C4×D43—216no—
203C2×C4×D43—216no—
204C2×C4×D43—216no—
205C2×C4×D43—216no—
206C2×C4×D43—28no—
207C2×C4×D43C22⋊C418yes—
208C2×C4×D43C22⋊C4116yes—
209C2×C4×D43C22⋊C4116yes—
210C2×C4×D43C22⋊C418yes—
211C2×C4×D43C22×C414yes—
212C2×C4×D43C22×C414yes—
213C2×C4×D43C22×C414yes—
214C2×C4×D43C22×C414yes—
215C2×C4×D43C22×C414yes—
216C2×C4×D43C22×C411yescharacteristic
217C2×C4×D43C22×C411yescharacteristic
218C2×C4×D43C22×C412yes—
219C2×C4×D43C22×C412yes—
220C2×C4×D43C22×C412yes—
221C2×C4×D43C22×C412yes—
222C2×C4×D43C22×C412yes—
223C2×C4×D43C2×D418yes—
224C2×C4×D43C2×D418yes—
225C2×C4×D43C2×D418yes—
226C2×C4×D43C2×D418yes—
227C2×C4×D43C2×D418yes—
228C2×C4×D43C2×D418yes—
229C2×C4×D43C2414yes—
230C2×C4×D43C2411yescharacteristic
231C2×C4×D43C2412yes—
232C2×C4×D43C2411yescharacteristic
233C2×Dic86—24no—
234C2×Dic86—28no—
235C2×Dic86C22×C414yes—
236C2×Dic86C22×C418yes—
237M16×C43—28no—
238M16×C43—28no—
239C2×C8×C43—28no—
240C2×C8×C43C2418yes—
241#10621877—28no—
242#10621877—28no—
243C2×C43⋊C8—28no—
244C2×C43⋊C8C2418yes—
245#10621872—216no—
246#10621872—216no—
247C8×D43—216no—
248C8×D43—216no—
249C23×C43—24no—
250C23×C43—42no—
251C23×C43—44no—
252C23×C43C2×C22⋊C414yes—
253C23×C43C23×C414yes—
254C23×C43C23×C411yescharacteristic
255C23×C43C23×C412yes—
256C22×D43—24no—
257C22×D43—28no—
258C22×D43—24no—
259C22×D43—28no—
260C22×D43—28no—
261C22×D43—216no—
262C22×D43—416no—
263C22×D43—44no—
264C22×D43—48no—
265C22×D43—42no—
266C22×D43—44no—
267C22×D43—432no—
268C22×D43C2×C22⋊C414yes—
269C22×D43C2×C22⋊C418yes—
270C22×D43C2×C22⋊C414yes—
271C22×D43C2×C22⋊C418yes—
272C22×D43C23×C414yes—
273C22×D43C23×C411yescharacteristic
274C22×D43C23×C412yes—
275C22×D43C23×C411yescharacteristic
276Q8×C43—28no—
277D4×C43—216no—
278D4×C43—28no—
279C2×C4×C43—24no—
280C2×C4×C43—28no—
281C2×C4×C43—28no—
282C2×C4×C43C2×C22⋊C414yes—
283C2×C4×C43C2×C22⋊C418yes—
284C2×C4×C43C23×C414yes—
285C2×C4×C43C23×C412yes—
286C2×C4×C43C23×C411yescharacteristic
287C2×C4×C43C22×D414yes—
288C2×C4×C43C22×D414yes—
289C2×C4×C43C22×D414yes—
290C2×C4×C43C2511yescharacteristic
291C22⋊D43—216no—
292C22⋊D43—216no—
293C22⋊D43—216no—
294C2×Dic43—24no—
295C2×Dic43—28no—
296C2×Dic43—28no—
297C2×Dic43C2×C22⋊C414yes—
298C2×Dic43C2×C22⋊C414yes—
299C2×Dic43C2×C22⋊C418yes—
300C2×Dic43C2×C22⋊C418yes—
301C2×Dic43C23×C414yes—
302C2×Dic43C23×C412yes—
303C2×Dic43C23×C411yescharacteristic
304C2×Dic43C23×C411yescharacteristic
305D172—216no—
306D172—28no—
307C4×D43—28no—
308C4×D43—28no—
309C4×D43—28no—
310C4×D43—28no—
311C4×D43—28no—
312C4×D43—28no—
313C4×D43C2×C22⋊C414yes—
314C4×D43C2×C22⋊C414yes—
315C4×D43C2×C22⋊C418yes—
316C4×D43C2×C22⋊C418yes—
317C4×D43C2×C22⋊C418yes—
318C4×D43C2×C22⋊C418yes—
319C4×D43C2×C22⋊C418yes—
320C4×D43C22×D414yes—
321C4×D43C22×D414yes—
322C4×D43C22×D414yes—
323C4×D43C22×D414yes—
324Dic86—28no—
325Dic86—216no—
326C8×C43—28no—
327C43⋊C8—28no—
328C2×#2879—431nomaximal, Sylow
329C22×C43—22no—
330C22×C43—24no—
331C22×C43—24no—
332C22×C43—28no—
333C22×C43—44no—
334C22×C43—48no—
335C22×C43C22×C22⋊C412yes—
336C22×C43C22×C22⋊C414yes—
337C22×C43C24×C411yescharacteristic
338C2×D43—22no—
339C2×D43—24no—
340C2×D43—28no—
341C2×D43—216no—
342C2×D43—24no—
343C2×D43—28no—
344C2×D43—48no—
345C2×D43—44no—
346C2×D43—416no—
347C2×D43—48no—
348C2×D43—416no—
349C2×D43C22×C22⋊C412yes—
350C2×D43C22×C22⋊C414yes—
351C2×D43C22×C22⋊C412yes—
352C2×D43#56814yes—
353C4×C43—24no—
354C4×C43C22×C22⋊C414yes—
355C4×C43C22×C22⋊C412yes—
356C4×C43C23×D412yes—
357Dic43—24no—
358Dic43C22×C22⋊C414yes—
359Dic43C22×C22⋊C412yes—
360Dic43C22×C22⋊C412yes—
361C23×#41—431no—
362C23×M16—432no—
363#2879—438no—
364#2879—434no—
365#2879—431no—
366#2879—432no—
367#2879D4311yescharacteristic, direct product factor
368C2×#408—438no—
369C2×#407—434no—
370C2×C43—22no—
371C2×C43—24no—
372C2×C43—44no—
373C2×C43C23×C22⋊C411yescharacteristic
374C2×C43C2×#56812yes—
375D43—22no—
376D43—24no—
377D43—44no—
378D43#287914yesdirect product factor
379C22×#41—434no—
380C22×#41—434no—
381C22×#41—434no—
382C22×#41—434no—
383C22×#41—431no—
384C22×#41—432no—
385C22×#41—431no—
386C22×#41—432no—
387C22×#41—431no—
388C22×#41—8616no—
389C22×#41C2×D4311yescharacteristic
390C23×Q8—431no—
391C23×D4—431no—
392C23×D4—432no—
393C24×C4—431no—
394C24×C4—432no—
395C22×M16—432no—
396C22×M16—434no—
397C22×M16—434no—
398C22×M16—434no—
399C22×M16—434no—
400C22×M16—434no—
401C22×M16—8616no—
402C22×M16C2×D4312yescomplemented
403C23×C8—434no—
404#408—438no—
405#408—438no—
406#408—438no—
407#408—4332no—
408#408C2×D4318yescomplemented
409#407—434no—
410#407—438no—
411#407—4316no—
412#407C2×D4314yescomplemented
413C2×C22⋊C8—4316no—
414C43C2×#287911yescharacteristic, complemented, Sylow
415C25—431no—
416C25—432no—
417C2×#41—28no—
418C2×#41—434no—
419C2×#41—434no—
420C2×#41—438no—
421C2×#41—438no—
422C2×#41—434no—
423C2×#41—434no—
424C2×#41—438no—
425C2×#41—434no—
426C2×#41—438no—
427C2×#41—434no—
428C2×#41—8616no—
429C2×#41—8616no—
430C2×#41—868no—
431C2×#41—868no—
432C2×#41—8632no—
433C2×#41—8632no—
434C2×#41—8616no—
435C2×#41—8616no—
436C2×#41—8616no—
437C2×#41—8616no—
438C2×#41—868no—
439C2×#41C4×D4314yes—
440C2×#41C22×D4314yes—
441C22×Q8—434no—
442C22×Q8—434no—
443C22×Q8—432no—
444C22×Q8—431no—
445C22×Q8—868no—
446C22×Q8C4×D4311yescharacteristic
447C22×D4—432no—
448C22×D4—432no—
449C22×D4—432no—
450C22×D4—434no—
451C22×D4—434no—
452C22×D4—438no—
453C22×D4—438no—
454C22×D4—432no—
455C22×D4—431no—
456C22×D4—868no—
457C22×D4—8616no—
458C22×D4C4×D4312yes—
459C22×D4C4×D4311yescharacteristic
460C23×C4—431no—
461C23×C4—431no—
462C23×C4—431no—
463C23×C4—432no—
464C23×C4—432no—
465C23×C4—4316no—
466C23×C4—432no—
467C23×C4—431no—
468C23×C4—431no—
469C23×C4—432no—
470C23×C4—432no—
471C23×C4—432no—
472C23×C4—432no—
473C23×C4—434no—
474C23×C4—434no—
475C23×C4—434no—
476C23×C4—434no—
477C23×C4—432no—
478C23×C4—8616no—
479C23×C4C22×D4312yes—
480C23×C4C22×D4311yescharacteristic
481C2×M16—28no—
482C2×M16—434no—
483C2×M16—434no—
484C2×M16—438no—
485C2×M16—438no—
486C2×M16—8616no—
487C2×M16—8616no—
488C2×M16—8616no—
489C2×M16—8616no—
490C2×M16—8616no—
491C2×M16—868no—
492C2×M16C22×D4314yes—
493C2×M16C22×D4314yescomplemented
494C22×C8—434no—
495C22×C8—438no—
496C22×C8—438no—
497C22×C8—8616no—
498C22×C8C22×D4314yescomplemented
499C22⋊C8—4316no—
500C22⋊C8—4332no—
501C22⋊C8C22×D43116yescomplemented
502C24—431no—
503C24—432no—
504C24—438no—
505C24—432no—
506C24—431no—
507C24—434no—
508C24—434no—
509C24—432no—
510C24—868no—
511C24—1724no—
512C24—1728no—
513C24C2×C4×D4312yes—
514C24C2×C4×D4311yescharacteristic
515#41—216no—
516#41—28no—
517#41—28no—
518#41—8632no—
519#41—8616no—
520#41—8616no—
521#41—8632no—
522#41—8632no—
523#41—8616no—
524#41—8616no—
525#41—8616no—
526#41—8616no—
527#41—8616no—
528#41—868no—
529#41—868no—
530C2×Q8—24no—
531C2×Q8—438no—
532C2×Q8—434no—
533C2×Q8—868no—
534C2×Q8—8616no—
535C2×Q8—8616no—
536C2×Q8—864no—
537C2×Q8C2×C4×D4314yes—
538C2×D4—28no—
539C2×D4—24no—
540C2×D4—438no—
541C2×D4—438no—
542C2×D4—438no—
543C2×D4—438no—
544C2×D4—434no—
545C2×D4—868no—
546C2×D4—8616no—
547C2×D4—8616no—
548C2×D4—868no—
549C2×D4—8632no—
550C2×D4—8632no—
551C2×D4—868no—
552C2×D4—868no—
553C2×D4—864no—
554C2×D4C2×C4×D4318yes—
555C2×D4C2×C4×D4314yes—
556C22×C4—28no—
557C22×C4—438no—
558C22×C4—431no—
559C22×C4—431no—
560C22×C4—432no—
561C22×C4—432no—
562C22×C4—438no—
563C22×C4—438no—
564C22×C4—4316no—
565C22×C4—4316no—
566C22×C4—431no—
567C22×C4—431no—
568C22×C4—432no—
569C22×C4—432no—
570C22×C4—432no—
571C22×C4—432no—
572C22×C4—432no—
573C22×C4—438no—
574C22×C4—438no—
575C22×C4—438no—
576C22×C4—438no—
577C22×C4—438no—
578C22×C4—438no—
579C22×C4—431no—
580C22×C4—432no—
581C22×C4—431no—
582C22×C4—432no—
583C22×C4—434no—
584C22×C4—434no—
585C22×C4—434no—
586C22×C4—434no—
587C22×C4—434no—
588C22×C4—434no—
589C22×C4—434no—
590C22×C4—434no—
591C22×C4—868no—
592C22×C4—8616no—
593C22×C4—8616no—
594C22×C4—8616no—
595C22×C4—8616no—
596C22×C4—868no—
597C22×C4—868no—
598C22×C4—868no—
599C22×C4C2×C4×D4312yes—
600C22×C4C2×C4×D4314yes—
601C22×C4C2×C4×D4311yescharacteristic
602C22×C4C2×C4×D4312yes—
603C22×C4D4×D4318yes—
604C22×C4C23×D4314yes—
605C22×C4C23×D4312yes—
606C22×C4C23×D4311yescharacteristic
607M16—28no—
608M16—28no—
609M16—8616no—
610M16—8616no—
611M16—868no—
612M16—868no—
613C2×C8—28no—
614C2×C8—438no—
615C2×C8—8616no—
616C2×C8—8616no—
617C2×C8—868no—
618C2×C8C23×D4318yes—
619C23—24no—
620C23—42no—
621C23—44no—
622C23—431no—
623C23—434no—
624C23—438no—
625C23—431no—
626C23—432no—
627C23—438no—
628C23—434no—
629C23—434no—
630C23—868no—
631C23—864no—
632C23—868no—
633C23—868no—
634C23—8616no—
635C23—864no—
636C23—1722no—
637C23—1724no—
638C23—1724no—
639C23—1728no—
640C23—17216no—
641C23—17232no—
642C23C22⋊C4×D4314yes—
643C23C22×C4×D4314yes—
644C23C22×C4×D4311yescharacteristic
645C23C22×C4×D4312yes—
646Q8—28no—
647Q8—8616no—
648Q8—868no—
649D4—216no—
650D4—28no—
651D4—8616no—
652D4—8616no—
653D4—8616no—
654D4—8616no—
655D4—868no—
656C2×C4—24no—
657C2×C4—28no—
658C2×C4—28no—
659C2×C4—434no—
660C2×C4—434no—
661C2×C4—438no—
662C2×C4—438no—
663C2×C4—431no—
664C2×C4—431no—
665C2×C4—432no—
666C2×C4—434no—
667C2×C4—434no—
668C2×C4—438no—
669C2×C4—438no—
670C2×C4—438no—
671C2×C4—438no—
672C2×C4—438no—
673C2×C4—434no—
674C2×C4—434no—
675C2×C4—434no—
676C2×C4—434no—
677C2×C4—434no—
678C2×C4—868no—
679C2×C4—868no—
680C2×C4—868no—
681C2×C4—868no—
682C2×C4—868no—
683C2×C4—868no—
684C2×C4—864no—
685C2×C4—868no—
686C2×C4—868no—
687C2×C4C22⋊C4×D4314yes—
688C2×C4C22⋊C4×D4318yes—
689C2×C4C22×C4×D4314yes—
690C2×C4C22×C4×D4311yescharacteristic
691C2×C4C22×C4×D4312yes—
692C2×C4C2×D4×D4314yes—
693C2×C4C2×D4×D4314yes—
694C2×C4C2×D4×D4314yes—
695C2×C4C24×D4311yescharacteristic
696C8—28no—
697C8—868no—
698C22—22no—
699C22—24no—
700C22—24no—
701C22—28no—
702C22—44no—
703C22—48no—
704C22—432no—
705C22—434no—
706C22—432no—
707C22—434no—
708C22—868no—
709C22—8616no—
710C22—862no—
711C22—864no—
712C22—864no—
713C22—868no—
714C22—1724no—
715C22—1728no—
716C22—1728no—
717C22—17216no—
718C22—17216no—
719C22C2×C22⋊C4×D4312yes—
720C22C2×C22⋊C4×D4314yes—
721C22C23×C4×D4311yescharacteristic
722C4—24no—
723C4—432no—
724C4—432no—
725C4—434no—
726C4—864no—
727C4C2×C22⋊C4×D4312yes—
728C4C2×C22⋊C4×D4314yes—
729C4C22×D4×D4312yes—
730C2—22no—
731C2—24no—
732C2—44no—
733C2—434no—
734C2—862no—
735C2—864no—
736C2—1724no—
737C2C22×C22⋊C4×D4311yescharacteristic
738C2#568×D4312yes—
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2879C2
prime radicalC22×#41×D43C2
cosocleC2×C4×C43C25
hypercenter#2879D43
hypocenterC43C2×#2879
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2879

Complements

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

NH ≅ G/Ntype
2. C22×M16×D43C2semidirect
3. #19143040C2semidirect
4. #19143039C2semidirect
5. #19143038C2semidirect
6. #19143037C2semidirect
7. #408×D43C2semidirect
8. #407×D43C2semidirect
9. C43×#2879C2semidirect
25. C22×#10621877C22semidirect
26. C22×#10621872C22semidirect
29. C2×M16×D43C22semidirect
30. C2×M16×D43C22semidirect
31. C2×M16×D43C22semidirect
32. C22×C8×D43C22semidirect
33. #14582867C22semidirect
34. #14582866C22semidirect
35. #14582865C22semidirect
36. #14582864C22semidirect
37. #14582863C22semidirect
38. #14582862C22semidirect
39. #14582861C22semidirect
40. C22⋊C8×D43C22semidirect
42. C22×M16×C43C22semidirect
43. C43×#408C22semidirect
44. C43×#407C22semidirect
105. C2×#10621877C23semidirect
108. C2×#10621872C23semidirect
113. C22×C43⋊C8C23semidirect
116. C2×C8×D43C23semidirect
117. C22⋊(C43⋊C8)C23semidirect
118. (C2×D43)⋊C8C23semidirect
129. C2×M16×C43C23semidirect
130. C22×C8×C43C23semidirect
131. C22⋊C8×C43C23semidirect
367. #2879D43direct (N × H)
378. D43#2879direct (N × H)
402. C22×M16C2×D43semidirect
408. #408C2×D43semidirect
412. #407C2×D43semidirect
414. C43C2×#2879semidirect
493. C2×M16C22×D43semidirect
498. C22×C8C22×D43semidirect
501. C22⋊C8C22×D43semidirect

Maximal subgroups

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

subgroupindex
C22×#41×D432
C22×M16×D432
#191430402
#191430392
#191430382
#191430372
#408×D432
#407×D432
C43×#28792
C2×#287943