Finite Group Databasebeta

← C4×#14583116 #25102821

Subgroups — C4×#14583116 #25102821

Order 11008.

1136 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×#14583116C211yesmaximal, characteristic
2C2×C4×#10621882C211yesmaximal, characteristic
3C4×#13063314C211yesmaximal, characteristic, complemented
4C4×D4×Dic43C211yesmaximal, characteristic, complemented
5#19135524C211yesmaximal, characteristic, complemented
6#19135364C211yesmaximal, characteristic, complemented
7#19135239C211yesmaximal, characteristic, complemented
8#19135221C211yesmaximal, characteristic, complemented
9#19134941C211yesmaximal, characteristic
10#19134931C211yesmaximal, characteristic, complemented
11#19134603C211yesmaximal, characteristic, complemented
12C4×Dic43⋊C8C211yesmaximal, characteristic, complemented
13C4×#13063249C211yesmaximal, characteristic, complemented
14C4×#13063247C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C43C211yesmaximal, characteristic, complemented
16C22×#10621882C2211yescharacteristic
17C2×#13063314C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C22×C4×Dic43—21no—
22#14583116C418yesdirect product factor
23C4×#10621882—24no—
24C2×#13063258C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×Dic43⋊C8C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063247C2211yescharacteristic
30C2×#13063247C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×C4×C43⋊C8C2211yescharacteristic
34#14582806C2211yescharacteristic
35#14582800C2211yescharacteristic
36#14582789—21no—
37#14582789—21no—
38#14582764C2211yescharacteristic
39C4⋊C4×Dic43C2211yescharacteristic
40C4⋊C4×Dic43C2211yescharacteristic
41C4×C4⋊Dic43C2211yescharacteristic
42C22⋊C4×Dic43—21no—
43C22⋊C4×Dic43—21no—
44C4×(C2×D43)⋊C4—21no—
45C4×(C2×D43)⋊C4—21no—
46C4×C22⋊Dic43—21no—
47C42×Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×SD16×C43C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C4×SD16×C43—24no—
58C2×#106×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C2×C4×C8×C43C2211yescharacteristic
62C22×D172C2311yescharacteristic
63C23×Dic43—21no—
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C2×#10621882—22no—
67C2×#10621882—22no—
68C2×#10621882C2×C414yes—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063314—22no—
72#13063314C2×C414yescomplemented
73C4×D172—22no—
74C4×D172—22no—
75D4×Dic43—22no—
76D4×Dic43—22no—
77D4×Dic43—22no—
78D4×Dic43C2×C414yescomplemented
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×(C2×D43)⋊C4—21no—
85C2×(C2×D43)⋊C4—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×C4×Dic43—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43—44no—
93C2×C4×Dic43D411yescharacteristic
94C2×C4×Dic43D411yescharacteristic
95C2×C4×Dic43D411yescharacteristic
96C2×C4×Dic43D411yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98C2×C4×Dic43C2311yescharacteristic
99#13063258—22no—
100Dic43⋊C8—22no—
101Dic43⋊C8C2×C414yescomplemented
102#13063249—22no—
103#13063249C2×C414yescomplemented
104#13063247—22no—
105#13063247C2×C414yescomplemented
106#13063246—22no—
107#13063245—22no—
108C4×C43⋊C8—22no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C22×Q8×C43C2311yescharacteristic
117C22×D4×C43C2311yescharacteristic
118C23×C4×C43—21no—
119C2×SD16×C43—22no—
120C2×SD16×C43—22no—
121C2×SD16×C43C2×C414yescomplemented
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124C4×Q8×C43—22no—
125C4×Q8×C43—22no—
126C4×D4×C43—22no—
127C4×D4×C43D414yes—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C42×C43—21no—
133C2×C42×C43C2311yescharacteristic
134#106×C43—22no—
135#103×C43—22no—
136#102×C43—22no—
137C4×C8×C43—22no—
138C24×C43—21no—
139C23×D43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43C22×C412yes—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43C22×C412yes—
150C2×D4×C43C2×D412yes—
151C2×D4×C43#4112yes—
152C22×C4×C43—24no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—42no—
157C22×C4×C43—42no—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C22×Dic43—24no—
162C22×Dic43—24no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—42no—
167C22×Dic43—42no—
168C22×Dic43—42no—
169C22×Dic43—42no—
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C22×Dic43C2×D411yescharacteristic
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172—21no—
179C2×D172C22×C412yes—
180C2×C4×D43—42no—
181C2×C4×D43—42no—
182C2×C4×D43—42no—
183SD16×C43—28no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43C22×C412yes—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—42no—
194C4⋊C4×C43C2×D412yes—
195C22⋊C4×C43—24no—
196C42×C43—42no—
197C42×C43C2×D412yes—
198C42×C43#4112yes—
199C22⋊Dic43—24no—
200C22⋊Dic43—24no—
201#10621882—28no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—24no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43C22×C412yes—
212C4⋊Dic43#4112yes—
213C4×Dic43—22no—
214C4×Dic43—22no—
215C4×Dic43—21no—
216C4×Dic43—21no—
217C4×Dic43—22no—
218C4×Dic43—41no—
219C4×Dic43—42no—
220C4×Dic43—42no—
221C4×Dic43—42no—
222C4×Dic43C22×C412yes—
223C4×Dic43#4112yes—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8C22×C412yes—
230C23×C43—22no—
231C23×C43—22no—
232C23×C43—22no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C22×D411yescharacteristic
238C22×D43—22no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—41no—
248Q8×C43—41no—
249D4×C43—22no—
250D4×C43—22no—
251D4×C43—22no—
252D4×C43C4×D414yes—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—48no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43#12112yes—
266C2×C4×C43#12112yes—
267C2×C4×C43#13512yes—
268C2×C4×C43AGL(1,ℤ/8)12yes—
269C2×C4×C43C23×C411yescharacteristic
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—22no—
282C2×Dic43—21no—
283C2×Dic43—22no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—48no—
287C2×Dic43—48no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43C4×D412yes—
296C2×Dic43C4×D412yes—
297C2×Dic43#13512yes—
298D172—22no—
299D172—22no—
300D172—41no—
301D172—41no—
302C4×D43—84no—
303C8×C43—22no—
304C8×C43—41no—
305C43⋊C8—22no—
306C43⋊C8—41no—
307C4×#463—431nomaximal, Sylow
308C22×C43—24no—
309C22×C43—42no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43C2×C4×D411yescharacteristic
316C22×C43C2×#12111yescharacteristic
317C22×C43#52511yescharacteristic
318C22×C43C2×#13511yescharacteristic
319C22×C43C2×#13511yescharacteristic
320C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
321C22×C43#57511yescharacteristic
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—81no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C4×C43—22no—
330C4×C43—42no—
331C4×C43—42no—
332C4×C43—81no—
333C4×C43#46314yescomplemented
334C4×C43C2×C4×D411yescharacteristic
335C4×C43C4×#4111yescharacteristic
336C4×C43#52911yescharacteristic
337C4×C43#53211yescharacteristic
338Dic43—22no—
339Dic43—22no—
340Dic43—22no—
341Dic43—41no—
342Dic43—42no—
343Dic43—42no—
344Dic43—81no—
345C2×#463—431no—
346C2×C4×SD16D4311yescharacteristic, complemented
347C2×C4×D8—431no—
348C4×#124—431no—
349C42×D4—431no—
350#1983—431no—
351#1949—431no—
352#1928—431no—
353#1926—431no—
354#1879—431no—
355#1877—431no—
356#1804—431no—
357C4×C4⋊C8—431no—
358C4×#103—431no—
359C4×#102—431no—
360C2×C43—44no—
361C2×C43C4×#12111yescharacteristic
362C2×C43C4×#13511yescharacteristic
363C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C43C2×#46311yescharacteristic
365C2×C43#303511yescharacteristic
366C2×C43#310211yescharacteristic
367C2×C43#310511yescharacteristic
368D43—82no—
369C22×SD16C2×D4311yescharacteristic
370C22×D8—431no—
371C2×#124—431no—
372C2×C4×Q8C2×D4311yescharacteristic
373C2×C4×D4—431no—
374C2×C4×D4—431no—
375C2×C4×D4—431no—
376C2×C4×D4C2×D4311yescharacteristic
377C22×C42—861no—
378#463—438no—
379C4×SD16—24no—
380C4×D8—864no—
381C2×#107—431no—
382C2×#106C2×D4311yescharacteristic
383C2×C4⋊C8—431no—
384C2×C4⋊C8—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103C2×D4311yescharacteristic
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×#102C2×D4311yescharacteristic
393C2×C4×C8—431no—
394C2×C4×C8C2×D4311yescharacteristic
395#391—431no—
396#390—431no—
397#388—861no—
398#388—861no—
399#382—431no—
400C4×C4⋊C4—431no—
401C4×C4⋊C4—431no—
402C4×C4⋊C4—431no—
403C4×C22⋊C4—861no—
404C4×C22⋊C4—861no—
405C4×C22⋊C4—861no—
406C4×C22⋊C4—861no—
407C4×C22⋊C4—861no—
408C43—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#336—431no—
414#336—431no—
415C43C4×#46311yescharacteristic, complemented, Sylow
416C22×Q8C22×D4311yescharacteristic
417C22×D4—431no—
418C22×D4C22×D4311yescharacteristic
419C23×C4—21no—
420C23×C4—861no—
421C23×C4—861no—
422C23×C4—861no—
423C2×SD16—22no—
424C2×SD16—22no—
425C2×SD16C4×D4314yescomplemented
426C2×D8—434no—
427C2×D8—862no—
428C2×D8—862no—
429C22×C8—431no—
430C22×C8—431no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433#124—434no—
434#124—862no—
435C4×Q8—22no—
436C4×Q8—22no—
437C4×D4—22no—
438C4×D4—434no—
439C4×D4—862no—
440C4×D4—862no—
441C4×D4—862no—
442C4×D4—862no—
443C4×D4—862no—
444C4×D4C22⋊D4314yes—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C42—21no—
460C2×C42—431no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—431no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—1724no—
470C2×C42C22×D4311yescharacteristic
471#107—862no—
472#106—22no—
473C4⋊C8—434no—
474C4⋊C8—862no—
475#103—22no—
476#103—434no—
477#103—862no—
478#102—22no—
479#102—434no—
480#102—862no—
481#102—862no—
482#102—862no—
483C4×C8—22no—
484C4×C8—862no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492C24—21no—
493C24—861no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4312yes—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—432no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—861no—
507C2×D4—861no—
508C2×D4—861no—
509C2×D4C2×C4×D4312yes—
510C2×D4#1062189812yes—
511C2×D4C2×C22⋊D4312yes—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—24no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—431no—
519C22×C4—431no—
520C22×C4—431no—
521C22×C4—431no—
522C22×C4—864no—
523C22×C4—864no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4—1722no—
533C22×C4—1722no—
534C22×C4D4×D4311yescharacteristic
535C22×C4D4×D4311yescharacteristic
536C22×C4C23×D4311yescharacteristic
537SD16—28no—
538D8—868no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—432no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8C2×C4×D4312yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—42no—
555C4⋊C4—432no—
556C4⋊C4—432no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4C2×C22⋊D4312yes—
562C22⋊C4—24no—
563C22⋊C4—864no—
564C22⋊C4—864no—
565C22⋊C4—864no—
566C22⋊C4—864no—
567C22⋊C4—1722no—
568C22⋊C4—1722no—
569C22⋊C4—1722no—
570C42—42no—
571C42—432no—
572C42—432no—
573C42—862no—
574C42—862no—
575C42—862no—
576C42—861no—
577C42—861no—
578C42—1721no—
579C42—1722no—
580C42—1722no—
581C42—1722no—
582C42#1062190012yes—
583C42C2×C22⋊D4312yes—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—862no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23C2×D4×D4311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—862no—
607D4—862no—
608D4—1721no—
609D4—1721no—
610D4C4×C22⋊D4314yes—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—432no—
624C2×C4—432no—
625C2×C4—432no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—862no—
633C2×C4—861no—
634C2×C4—862no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—3444no—
638C2×C4—1728no—
639C2×C4—1728no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4#1306329712yes—
648C2×C4#1306329712yes—
649C2×C4#1306334612yes—
650C2×C4#1306335212yes—
651C2×C4C22×C4×D4311yescharacteristic
652C2×C4C22×C22⋊D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062190011yescharacteristic
656C2×C4C2×#1062189811yescharacteristic
657C8—22no—
658C8—41no—
659C8—862no—
660C8—1721no—
661C22—24no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—3441no—
669C22—3441no—
670C22—3441no—
671C22—3441no—
672C22—1722no—
673C22—1722no—
674C22—1722no—
675C22C4×D4×D4311yescharacteristic
676C22C2×#1306329711yescharacteristic
677C22#1458340811yescharacteristic
678C22#135×D4311yescharacteristic
679C22C2×#1306334611yescharacteristic
680C22C2×#1306335211yescharacteristic
681C22#1458369611yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—81no—
686C4—862no—
687C4—862no—
688C4—862no—
689C4—3441no—
690C4—1721no—
691C4—1722no—
692C4—1722no—
693C4#1458311614yesdirect product factor
694C4C2×C4×C22⋊D4311yescharacteristic
695C4C4×#1062190011yescharacteristic
696C4#1458342911yescharacteristic
697C4#1458344511yescharacteristic
698C2—44no—
699C2—3442no—
700C2C4×#1306329711yescharacteristic
701C2C4×#1306334611yescharacteristic
702C2C4×#1306335211yescharacteristic
703C2C2×#1458311611yescharacteristic
704C2#1914404611yescharacteristic
705C2#1914461711yescharacteristic
706C2#1914464611yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C4×SD16×C43C2
socleC23×C43C22×D4
prime radicalC22×#10621882C22
cosocleC22×C4×C43C24
hypercenterC2×C4×SD16D43
hypocenterC43C4×#463
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
3. C4×#13063314C2semidirect
4. C4×D4×Dic43C2semidirect
5. #19135524C2semidirect
6. #19135364C2semidirect
7. #19135239C2semidirect
8. #19135221C2semidirect
10. #19134931C2semidirect
11. #19134603C2semidirect
12. C4×Dic43⋊C8C2semidirect
13. C4×#13063249C2semidirect
14. C4×#13063247C2semidirect
15. C2×C4×SD16×C43C2semidirect
22. #14583116C4direct (N × H)
72. #13063314C2×C4semidirect
78. D4×Dic43C2×C4semidirect
101. Dic43⋊C8C2×C4semidirect
103. #13063249C2×C4semidirect
105. #13063247C2×C4semidirect
121. C2×SD16×C43C2×C4semidirect
333. C4×C43#463semidirect
346. C2×C4×SD16D43semidirect
415. C43C4×#463semidirect
425. C2×SD16C4×D43semidirect
693. C4#14583116direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145831162
C2×C4×#106218822
C4×#130633142
C4×D4×Dic432
#191355242
#191353642
#191352392
#191352212
#191349412
#191349312
#191346032
C4×Dic43⋊C82
C4×#130632492
C4×#130632472
C2×C4×SD16×C432
C4×#46343