Finite Group Databasebeta

← C4×#14583143 #25103222

Subgroups — C4×#14583143 #25103222

Order 11008.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583143C211yesmaximal, characteristic
2C2×C4×#10621883C211yesmaximal, characteristic, complemented
3C2×C4×#10621877C211yesmaximal, characteristic, complemented
4C4×#13063304C211yesmaximal, characteristic, complemented
5#19135475C211yesmaximal, characteristic, complemented
6#19135330C211yesmaximal, characteristic, complemented
7#19135295C211yesmaximal, characteristic, complemented
8#19135284C211yesmaximal, characteristic, complemented
9#19135034C211yesmaximal, characteristic
10#19135026C211yesmaximal, characteristic, complemented
11#19134626C211yesmaximal, characteristic, complemented
12C4×#13063258C211yesmaximal, characteristic, complemented
13C4×#13063248C211yesmaximal, characteristic, complemented
14C4×#13063246C211yesmaximal, characteristic, complemented
15C4×#121×C43C211yesmaximal, characteristic
16C22×#10621883C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18C22×#10621877C2211yescharacteristic
19C2×#13063304C2211yescharacteristic
20C2×C4×Dic86C2211yescharacteristic
21#14583143C418yesdirect product factor
22C4×#10621883—24no—
23C2×#13063258C2211yescharacteristic
24C2×#13063258C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063248C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C4×#10621877—24no—
33C2×#13063236C2211yescharacteristic
34C2×#13063236C2211yescharacteristic
35C2×C4×C43⋊C8C2211yescharacteristic
36C2×C4×C43⋊C8C2211yescharacteristic
37#14582805C2211yescharacteristic
38#14582797C2211yescharacteristic
39#14582783—21no—
40#14582772—21no—
41#14582759C2211yescharacteristic
42C4×Dic43⋊C4—21no—
43C4×C4⋊Dic43C2211yescharacteristic
44C4×C22⋊Dic43—21no—
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51C2×#121×C43C2211yescharacteristic
52C2×C4×D4×C43—21no—
53C2×C4×D4×C43C2211yescharacteristic
54C22×C42×C43C2211yescharacteristic
55C43×#390C2211yescharacteristic
56C43×#389C2211yescharacteristic
57C43×#388—21no—
58C43×#386—21no—
59C43×#380C2211yescharacteristic
60C4×C4⋊C4×C43C2211yescharacteristic
61C4×C22⋊C4×C43—21no—
62C22×Dic86C2311yescharacteristic
63C2×#10621883—22no—
64C2×#10621883—22no—
65C2×#10621883C2×C414yescomplemented
66C2×#10621877—22no—
67C2×#10621877—22no—
68C2×#10621877—22no—
69C2×#10621877—22no—
70C2×#10621877—22no—
71C2×#10621877C2×C414yescomplemented
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063304—22no—
77#13063304C2×C414yescomplemented
78C4×Dic86—22no—
79C4×Dic86—22no—
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C4×Dic43—21no—
89C2×C4×Dic43—21no—
90#13063258—22no—
91#13063258C2×C414yescomplemented
92#13063256—22no—
93#13063248—22no—
94#13063248—22no—
95#13063248C2×C414yescomplemented
96#13063246—22no—
97#13063246—22no—
98#13063246C2×C414yescomplemented
99#13063236—22no—
100#13063236—22no—
101C4×C43⋊C8—22no—
102C4×C43⋊C8D414yescomplemented
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C22×D4×C43—21no—
109C22×D4×C43C2311yescharacteristic
110C23×C4×C43—21no—
111C23×C4×C43D411yescharacteristic
112C23×C4×C43D411yescharacteristic
113C23×C4×C43C2311yescharacteristic
114#121×C43—22no—
115#121×C43C2×C414yes—
116C4×D4×C43—22no—
117C4×D4×C43—22no—
118C4×D4×C43—44no—
119C2×C4⋊C4×C43—21no—
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C22⋊C4×C43—21no—
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43—21no—
126C2×C22⋊C4×C43—21no—
127C2×C22⋊C4×C43—21no—
128C2×C42×C43—22no—
129C2×C42×C43—22no—
130C2×C42×C43—21no—
131C2×C42×C43D411yescharacteristic
132C2×C42×C43D411yescharacteristic
133C2×C42×C43C2311yescharacteristic
134C2×C42×C43C2311yescharacteristic
135#95×C43—21no—
136#95×C43—21no—
137#95×C43—21no—
138C24×C43—21no—
139C24×C43C2×D411yescharacteristic
140C2×D4×C43—21no—
141C2×D4×C43—24no—
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×C43C22×C412yes—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—41no—
161C22×C4×C43—41no—
162C22×C4×C43—42no—
163C22×C4×C43—42no—
164C22×C4×C43—42no—
165C22×C4×C43C22×C412yes—
166C22×C4×C43C2×D411yescharacteristic
167C22×C4×C43C2×D411yescharacteristic
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43#4112yes—
172C22×C4×C43C2411yescharacteristic
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—42no—
189C4⋊C4×C43C22×C412yes—
190C22⋊C4×C43—24no—
191C22⋊C4×C43—42no—
192C22⋊C4×C43—42no—
193C22⋊C4×C43—42no—
194C22⋊C4×C43—42no—
195C42×C43—22no—
196C42×C43—22no—
197C42×C43—21no—
198C42×C43—21no—
199C42×C43—42no—
200C42×C43C2×D412yes—
201C42×C43#4112yes—
202C22⋊Dic43—24no—
203C22⋊Dic43—42no—
204#10621883—28no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43C22×C412yes—
211Dic43⋊C4—24no—
212Dic43⋊C4—42no—
213Dic43⋊C4—42no—
214C4×Dic43—42no—
215C4×Dic43—42no—
216#10621877—28no—
217#10621877—28no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8C22×C412yes—
225C2×C43⋊C8C22×C412yes—
226C2×C43⋊C8C2×D412yes—
227C2×C43⋊C8C2×D412yes—
228C2×C43⋊C8#4112yes—
229C2×C43⋊C8#4112yes—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—22no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43C4×D412yes—
244C23×C43C22×D411yescharacteristic
245D4×C43—22no—
246D4×C43—22no—
247D4×C43—48no—
248D4×C43—41no—
249D4×C43—41no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
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—44no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—44no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—84no—
276C2×C4×C43C4×D412yes—
277C2×C4×C43#12112yes—
278C2×C4×C43#12112yes—
279C2×C4×C43AGL(1,ℤ/8)12yes—
280C2×C4×C43#13712yes—
281C2×C4×C43C23×C411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C2×C4×C43C2×#4111yescharacteristic
287C2×Dic43—22no—
288C2×Dic43—22no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299Dic86—22no—
300Dic86—22no—
301Dic86—41no—
302Dic86—41no—
303C43⋊C8—22no—
304C43⋊C8—22no—
305C43⋊C8—22no—
306C43⋊C8C4×D414yescomplemented
307C4×#468—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43—81no—
321C22×C43—81no—
322C22×C43C2×C4×D411yescharacteristic
323C22×C43C2×#12111yescharacteristic
324C22×C43#53211yescharacteristic
325C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C43C2×#13711yescharacteristic
327C22×C43#57511yescharacteristic
328C22×C43#57511yescharacteristic
329C4×C43—22no—
330C4×C43—22no—
331C4×C43—42no—
332C4×C43—41no—
333C4×C43—41no—
334C4×C43—81no—
335C4×C43—81no—
336C4×C43#46814yescomplemented
337C4×C43C2×C4×D411yescharacteristic
338C4×C43C4×#4111yescharacteristic
339C4×C43#52511yescharacteristic
340C4×C43#52911yescharacteristic
341Dic43—42no—
342Dic43—42no—
343Dic43—81no—
344Dic43—81no—
345C2×#468—431no—
346C2×C4×SD16—431no—
347C2×C4×M16—431no—
348C4×C22⋊Q8—431no—
349C4×#121D4311yescharacteristic
350#1973—431no—
351#1943—431no—
352#1936—431no—
353#1935—431no—
354#1895—431no—
355#1894—431no—
356#1809—431no—
357C4×#107—431no—
358C4×#103—431no—
359C4×#102—431no—
360C2×C43—42no—
361C2×C43—82no—
362C2×C43C4×#12111yescharacteristic
363C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C43C4×#13711yescharacteristic
365C2×C43C2×#46811yescharacteristic
366C2×C43#305411yescharacteristic
367C2×C43#317111yescharacteristic
368C2×C43#317211yescharacteristic
369C22×SD16—431no—
370C22×M16—431no—
371C22×M16—431no—
372C2×C22⋊Q8—431no—
373C2×#121C2×D4311yescharacteristic
374C2×C4×Q8—431no—
375C2×C4×D4—21no—
376C2×C4×D4C2×D4311yescharacteristic
377C22×C42C2×D4311yescharacteristic
378#468—438no—
379C4×SD16—864no—
380C2×#107—431no—
381C2×#107—431no—
382C2×#106—431no—
383C2×#103—431no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C4×M16—864no—
390C2×#97—431no—
391C2×#97—431no—
392C2×C4×C8—431no—
393C2×C4×C8—431no—
394#391—431no—
395#390C2×D4311yescharacteristic
396#389—431no—
397#389C2×D4311yescharacteristic
398#388—21no—
399#387—861no—
400#386—21no—
401#385—861no—
402#380—431no—
403#380C2×D4311yescharacteristic
404C4×C4⋊C4—431no—
405C4×C4⋊C4—861no—
406C4×C4⋊C4C2×D4311yescharacteristic
407C4×C22⋊C4—21no—
408C4×C22⋊C4—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415C43C4×#46811yescharacteristic, complemented, Sylow
416C22×Q8—431no—
417C22×D4—21no—
418C22×D4C22×D4311yescharacteristic
419C23×C4—21no—
420C23×C4C22⋊D4311yescharacteristic
421C23×C4C22⋊D4311yescharacteristic
422C23×C4C22×D4311yescharacteristic
423C2×SD16—434no—
424C2×SD16—862no—
425C2×SD16—862no—
426C2×M16—434no—
427C2×M16—862no—
428C2×M16—862no—
429C2×M16—862no—
430C2×M16—862no—
431C2×M16—862no—
432C22×C8—431no—
433C22×C8—431no—
434C22×C8—431no—
435C22×C8—431no—
436C22⋊Q8—434no—
437C22⋊Q8—862no—
438#121—22no—
439#121C4×D4314yes—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—44no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C42—22no—
463C2×C42—22no—
464C2×C42—21no—
465C2×C42—861no—
466C2×C42—861no—
467C2×C42C22⋊D4311yescharacteristic
468C2×C42C22⋊D4311yescharacteristic
469C2×C42C22×D4311yescharacteristic
470C2×C42C22×D4311yescharacteristic
471#107—434no—
472#107—862no—
473#106—862no—
474#103—434no—
475#103—862no—
476#103—862no—
477#102—434no—
478#102—862no—
479#102—862no—
480#97—862no—
481#97—862no—
482C4×C8—434no—
483C4×C8—862no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—21no—
493C24C2×C22⋊D4311yescharacteristic
494C2×Q8—432no—
495C2×Q8—861no—
496C2×Q8—861no—
497C2×Q8—861no—
498C2×Q8—861no—
499C2×Q8—861no—
500C2×D4—24no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4C2×C4×D4312yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4C2×C4×D4312yes—
530C22×C4#1062189812yes—
531C22×C4C2×C22⋊D4311yescharacteristic
532C22×C4C2×C22⋊D4311yescharacteristic
533C22×C4C2×C22⋊D4311yescharacteristic
534C22×C4C2×C22⋊D4311yescharacteristic
535C22×C4C2×C22⋊D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—868no—
538M16—868no—
539M16—868no—
540C2×C8—432no—
541C2×C8—432no—
542C2×C8—432no—
543C2×C8—432no—
544C2×C8—432no—
545C2×C8—432no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—432no—
559C4⋊C4—864no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—1722no—
566C4⋊C4—1722no—
567C4⋊C4C2×C4×D4312yes—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—864no—
574C22⋊C4—1722no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42—21no—
579C42—42no—
580C42—1722no—
581C42—1722no—
582C42D4×D4312yes—
583C42#1062190012yes—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23C4×C22⋊D4312yes—
598C23C22×C22⋊D4311yescharacteristic
599Q8—862no—
600Q8—862no—
601Q8—1721no—
602Q8—1721no—
603D4—22no—
604D4—22no—
605D4—48no—
606D4—41no—
607D4—41no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—44no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—44no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—862no—
635C2×C4—862no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4C4×C22⋊D4312yes—
647C2×C4#1306329712yes—
648C2×C4#1306329712yes—
649C2×C4#1306335112yes—
650C2×C4#1306335512yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C2×D4×D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062190011yescharacteristic
656C2×C4C2×#1062189811yescharacteristic
657C8—434no—
658C8—862no—
659C8—862no—
660C8—862no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×C4×C22⋊D4311yescharacteristic
676C22C2×#1306329711yescharacteristic
677C22#1458344511yescharacteristic
678C22C2×#1306335111yescharacteristic
679C22C2×#1306335511yescharacteristic
680C22#1458369711yescharacteristic
681C22#1458369711yescharacteristic
682C4—22no—
683C4—22no—
684C4—41no—
685C4—42no—
686C4—41no—
687C4—81no—
688C4—81no—
689C4—3441no—
690C4—3441no—
691C4—1722no—
692C4—1722no—
693C4#1458314314yesdirect product factor
694C4C4×D4×D4311yescharacteristic
695C4C4×#1062190011yescharacteristic
696C4#1458340811yescharacteristic
697C4#1458342911yescharacteristic
698C2—42no—
699C2—82no—
700C2C4×#1306329711yescharacteristic
701C2C4×#1306335111yescharacteristic
702C2C4×#1306335511yescharacteristic
703C2C2×#1458314311yescharacteristic
704C2#1914420111yescharacteristic
705C2#1914518411yescharacteristic
706C2#1914520211yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#121×C43C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
cosocleC22×C4×C43C24
hypercenterC4×#121D43
hypocenterC43C4×#468
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621883C2semidirect
3. C2×C4×#10621877C2semidirect
4. C4×#13063304C2semidirect
5. #19135475C2semidirect
6. #19135330C2semidirect
7. #19135295C2semidirect
8. #19135284C2semidirect
10. #19135026C2semidirect
11. #19134626C2semidirect
12. C4×#13063258C2semidirect
13. C4×#13063248C2semidirect
14. C4×#13063246C2semidirect
21. #14583143C4direct (N × H)
65. C2×#10621883C2×C4semidirect
71. C2×#10621877C2×C4semidirect
77. #13063304C2×C4semidirect
91. #13063258C2×C4semidirect
95. #13063248C2×C4semidirect
98. #13063246C2×C4semidirect
102. C4×C43⋊C8D4semidirect
306. C43⋊C8C4×D4semidirect
336. C4×C43#468semidirect
415. C43C4×#468semidirect
693. C4#14583143direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145831432
C2×C4×#106218832
C2×C4×#106218772
C4×#130633042
#191354752
#191353302
#191352952
#191352842
#191350342
#191350262
#191346262
C4×#130632582
C4×#130632482
C4×#130632462
C4×#121×C432
C4×#46843