Finite Group Databasebeta

← #25118858

Subgroups — #25118858

Order 11008.

1066 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583097C211yesmaximal, characteristic
2C2×#14582984C211yesmaximal, characteristic, complemented
3#19137657C211yesmaximal, characteristic
4Q8×Dic43⋊C4C211yesmaximal, characteristic, complemented
5#19135399C211yesmaximal, characteristic
6#19135355C211yesmaximal, characteristic, complemented
7#19135278C211yesmaximal, characteristic, complemented
8#19135275C211yesmaximal, characteristic, complemented
9#19134952C211yesmaximal, characteristic, complemented
10#19134950C211yesmaximal, characteristic, complemented
11#19134856C211yesmaximal, characteristic, complemented
12#19134853C211yesmaximal, characteristic, complemented
13C8×Dic43⋊C4C211yesmaximal, characteristic, complemented
14#103×Dic43C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C43C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C2×#13063321C2211yescharacteristic
18C2×Q8×Dic43C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×#13063287C2211yescharacteristic
21C2×C4×C22⋊D43—21no—
22#14583097C418yescomplemented
23#14582984—24no—
24C2×#13063256C2211yescharacteristic
25C2×Dic43⋊C8C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33C2×C8×Dic43C2211yescharacteristic
34#14582802C2211yescharacteristic
35#14582801C2211yescharacteristic
36#14582799—21no—
37#14582797—21no—
38#14582797C2211yescharacteristic
39#14582795—21no—
40#14582795C2211yescharacteristic
41#14582778—21no—
42#14582775—21no—
43#14582768—21no—
44#14582768C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4×Dic43⋊C4—21no—
47C4×Dic43⋊C4C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582654C2211yescharacteristic
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
63C22×C22⋊D43—21no—
64C22×C22⋊D43—21no—
65C22×C4×D43—21no—
66C2×#10621884—22no—
67C2×#10621884—22no—
68C2×#10621884C2×C414yescomplemented
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063321—22no—
72#13063321C2×C414yes—
73Q8×Dic43—22no—
74Q8×Dic43—22no—
75Q8×Dic43—41no—
76Q8×Dic43C2×C414yescomplemented
77#13063287—22no—
78#13063287—41no—
79C4×C22⋊D43—44no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43—21no—
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—21no—
89C2×Dic43⋊C4D411yescharacteristic
90C2×Dic43⋊C4D411yescharacteristic
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×C4×Dic43—21no—
97C2×C4×Dic43—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43C2311yescharacteristic
100C2×C4×Dic43C2311yescharacteristic
101#13063256—22no—
102Dic43⋊C8C2×C414yescomplemented
103#13063249—22no—
104#13063247—22no—
105#13063247C2×C414yescomplemented
106#13063246—41no—
107#13063246C2×C414yescomplemented
108#13063245—41no—
109C8×Dic43—22no—
110C8×Dic43—22no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95D411yescharacteristic
115C43⋊#95D411yescharacteristic
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—41no—
126C4×D4×C43—22no—
127C4×D4×C43—41no—
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×C43D414yescomplemented
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×C43C22×C412yes—
144C2×Q8×C43C2×D412yes—
145C2×Q8×C43#4112yes—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43C22×C412yes—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—42no—
156C22×C4×C43—42no—
157C22×C4×C43—81no—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2411yescharacteristic
161C2×C22⋊D43—24no—
162C2×C22⋊D43—24no—
163C2×C22⋊D43—42no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—81no—
166C2×C22⋊D43—81no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
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—81no—
183SD16×C43—28no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43C22×C412yes—
189C2×C8×C43C2×D412yes—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—42no—
194C4⋊C4×C43C2×D412yes—
195C22⋊C4×C43—42no—
196C42×C43—21no—
197C42×C43—21no—
198C42×C43—42no—
199C22⋊Dic43—42no—
200C22⋊Dic43—81no—
201#10621884—28no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—81no—
205C4⋊Dic43—21no—
206C4⋊Dic43—24no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—42no—
212C4⋊Dic43C22×C412yes—
213Dic43⋊C4—22no—
214Dic43⋊C4—42no—
215Dic43⋊C4—81no—
216Dic43⋊C4—81no—
217Dic43⋊C4—81no—
218Dic43⋊C4SD1614yescomplemented
219C4×Dic43—21no—
220C4×Dic43—21no—
221C4×Dic43—24no—
222C4×Dic43—42no—
223C4×Dic43—42no—
224C4×Dic43C22×C412yes—
225C4×Dic43#4112yes—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8C22×C412yes—
232C23×C43—22no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43C22×D411yescharacteristic
240C22×D43—22no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—22no—
250Q8×C43C4×D414yescomplemented
251D4×C43—22no—
252D4×C43—22no—
253D4×C43—41no—
254D4×C43—41no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—22no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—84no—
270C2×C4×C43C2×SD1612yes—
271C2×C4×C43C23×C411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C432−1+411yescharacteristic
277C22⋊D43—48no—
278C22⋊D43—84no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—22no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—41no—
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×Dic43C2×SD1612yes—
298C2×Dic43C2×SD1612yes—
299C2×Dic43#13512yes—
300D172—22no—
301D172—22no—
302D172—41no—
303D172—41no—
304C4×D43—84no—
305C8×C43—22no—
306C8×C43—22no—
307C43⋊C8—22no—
308C43⋊C8—41no—
309#22997—431nomaximal, Sylow
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43C2×C4×D411yescharacteristic
318C22×C43D4211yescharacteristic
319C22×C43#54811yescharacteristic
320C22×C43C22×SD1611yescharacteristic
321C22×C43C2×#13511yescharacteristic
322C22×C43#57611yescharacteristic
323C22×C43#57711yescharacteristic
324C2×D43—42no—
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—81no—
328C2×D43—81no—
329C2×D43—81no—
330C2×D43—81no—
331C4×C43—24no—
332C4×C43—22no—
333C4×C43—42no—
334C4×C43—41no—
335C4×C43—81no—
336C4×C43C2×C4×D411yescharacteristic
337C4×C43#52011yescharacteristic
338C4×C43#54711yescharacteristic
339C4×C43#55311yescharacteristic
340Dic43—22no—
341Dic43—22no—
342Dic43—42no—
343Dic43—41no—
344Dic43—81no—
345Dic43—81no—
346Dic43C4×SD1614yescomplemented
347C2×#460—431no—
348C2×C4×SD16—431no—
349C2×C4×SD16D4311yescharacteristic, complemented
350#2366—431no—
351Q8×C4⋊C4—431no—
352#1957—431no—
353#1948—431no—
354#1934—431no—
355#1934—431no—
356#1880—431no—
357#1880—431no—
358#1864—431no—
359#1864—431no—
360C8×C4⋊C4—431no—
361C4×#103—431no—
362C2×C43—82no—
363C2×C43#236111yescharacteristic
364C2×C43C2×C4×SD1611yescharacteristic
365C2×C43#294611yescharacteristic
366C2×C43D4×SD1611yescharacteristic
367C2×C43#328711yescharacteristic
368C2×C43#336211yescharacteristic
369C2×C43#336511yescharacteristic
370D43—82no—
371C22×SD16—431no—
372C22×SD16C2×D4311yescharacteristic
373C2×#127—431no—
374C2×C4×Q8—431no—
375C2×C4×Q8—431no—
376C2×C4×Q8C2×D4311yescharacteristic
377C2×C4×D4—431no—
378C2×C4×D4—861no—
379C2×C4×D4C2×D4311yescharacteristic
380#460—438no—
381C4×SD16—24no—
382C4×SD16—864no—
383C2×#106—431no—
384C2×#106C2×D4311yescharacteristic
385C2×C4⋊C8—431no—
386C2×#103—431no—
387C2×#103C2×D4311yescharacteristic
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×#102—431no—
393C2×#102C2×D4311yescharacteristic
394C2×C4×C8—431no—
395C2×C4×C8—431no—
396C2×C4×C8C2×D4311yescharacteristic
397#390—431no—
398#390—431no—
399#390—861no—
400#389—431no—
401#389—431no—
402#389—861no—
403#389—861no—
404#386—861no—
405#386—861no—
406#384—431no—
407#384—861no—
408C4×C4⋊C4—431no—
409C4×C4⋊C4—431no—
410C4×C4⋊C4—861no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#336—431no—
416#336—431no—
417C43#2299711yescharacteristic, complemented, Sylow
418C22×Q8C22×D4311yescharacteristic
419C22×D4—431no—
420C22×D4—861no—
421C22×D4—861no—
422C22×D4C22×D4311yescharacteristic
423C23×C4—21no—
424C23×C4—861no—
425C2×SD16—22no—
426C2×SD16—22no—
427C2×SD16—434no—
428C2×SD16—862no—
429C2×SD16—862no—
430C2×SD16C4×D4314yescomplemented
431C22×C8—431no—
432C22×C8—431no—
433C22×C8C22×D4311yescharacteristic
434C22×C8C22×D4311yescharacteristic
435#127—434no—
436#127—862no—
437C4×Q8—22no—
438C4×Q8—41no—
439C4×Q8—434no—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×Q8—1721no—
443C4×D4—22no—
444C4×D4—41no—
445C4×D4—862no—
446C4×D4—1721no—
447C4×D4—1724no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C42—21no—
469C2×C42—431no—
470C2×C42—431no—
471C2×C42—861no—
472C2×C42—861no—
473C2×C42—861no—
474C2×C42C22×D4311yescharacteristic
475#106—22no—
476#106—862no—
477C4⋊C8—434no—
478#103—862no—
479#103C22⋊D4314yescomplemented
480#102—22no—
481#102—434no—
482#102—434no—
483#102—862no—
484#102—1721no—
485#102—1721no—
486C4×C8—22no—
487C4×C8—862no—
488C4×C8—862no—
489#95—431no—
490#95—431no—
491#95—861no—
492#95—861no—
493#95—861no—
494C24—21no—
495C24—861no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8C2×C4×D4312yes—
500C2×Q8#1062189812yes—
501C2×Q8C2×C22⋊D4312yes—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—432no—
508C2×D4—864no—
509C2×D4—864no—
510C2×D4—861no—
511C2×D4—861no—
512C2×D4—861no—
513C2×D4—861no—
514C2×D4—861no—
515C2×D4—3441no—
516C2×D4—3441no—
517C2×D4—1722no—
518C2×D4—1722no—
519C2×D4C2×C4×D4312yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—81no—
526C22×C4—431no—
527C22×C4—431no—
528C22×C4—431no—
529C22×C4—431no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—3441no—
534C22×C4—1722no—
535C22×C4—1722no—
536C22×C4D4×D4311yescharacteristic
537C22×C4D4×D4311yescharacteristic
538C22×C4C23×D4311yescharacteristic
539SD16—28no—
540SD16—868no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—432no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8C2×C4×D4312yes—
552C2×C8C2×C22⋊D4312yes—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—434no—
558C4⋊C4—432no—
559C4⋊C4—862no—
560C4⋊C4—864no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—3441no—
567C4⋊C4—3441no—
568C4⋊C4—3441no—
569C4⋊C4—1722no—
570C4⋊C4—1722no—
571C4⋊C4C2×C22⋊D4312yes—
572C22⋊C4—42no—
573C22⋊C4—3441no—
574C22⋊C4—3441no—
575C22⋊C4—1722no—
576C22⋊C4—1722no—
577C22⋊C4—1722no—
578C42—21no—
579C42—21no—
580C42—42no—
581C42—432no—
582C42—432no—
583C42—864no—
584C42—861no—
585C42—861no—
586C42—1722no—
587C42—1722no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—862no—
596C23—1721no—
597C23—1721no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23C2×D4×D4311yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8C4×C22⋊D4314yescomplemented
607D4—22no—
608D4—22no—
609D4—41no—
610D4—41no—
611D4—862no—
612D4—862no—
613D4—3444no—
614D4—1728no—
615D4—1721no—
616D4—1721no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—84no—
632C2×C4—432no—
633C2×C4—432no—
634C2×C4—432no—
635C2×C4—432no—
636C2×C4—432no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—862no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—3444no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4SD16×D4312yes—
655C2×C4C22×C4×D4311yescharacteristic
656C2×C4C22×C22⋊D4311yescharacteristic
657C2×C4#41×D4311yescharacteristic
658C2×C4C2×#1062189811yescharacteristic
659C2×C4#1306337011yescharacteristic
660C2×C4#1306337211yescharacteristic
661C8—22no—
662C8—22no—
663C8—862no—
664C8—1721no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—3441no—
673C22—3441no—
674C22—3441no—
675C22—3441no—
676C22—1722no—
677C22—1722no—
678C22—1722no—
679C22C4×D4×D4311yescharacteristic
680C22D4×C22⋊D4311yescharacteristic
681C22#1458355811yescharacteristic
682C22C2×SD16×D4311yescharacteristic
683C22#135×D4311yescharacteristic
684C22#1458370111yescharacteristic
685C22#1458370511yescharacteristic
686C4—22no—
687C4—24no—
688C4—42no—
689C4—41no—
690C4—81no—
691C4—434no—
692C4—862no—
693C4—862no—
694C4—3441no—
695C4—3441no—
696C4—1721no—
697C4—1722no—
698C4C2×C4×C22⋊D4311yescharacteristic
699C4#1458337811yescharacteristic
700C4#1458354811yescharacteristic
701C4#1458359811yescharacteristic
702C2—82no—
703C2—3442no—
704C2#1913761211yescharacteristic
705C2C4×SD16×D4311yescharacteristic
706C2#1914342211yescharacteristic
707C2SD16×C22⋊D4311yescharacteristic
708C2#1914634911yescharacteristic
709C2#1914726411yescharacteristic
710C2#1914729211yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C4×SD16×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063321C22
cosocleC22×C4×C43C24
hypercenterC2×C4×SD16D43
hypocenterC43#22997
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
2. C2×#14582984C2semidirect
4. Q8×Dic43⋊C4C2semidirect
6. #19135355C2semidirect
7. #19135278C2semidirect
8. #19135275C2semidirect
9. #19134952C2semidirect
10. #19134950C2semidirect
11. #19134856C2semidirect
12. #19134853C2semidirect
13. C8×Dic43⋊C4C2semidirect
14. #103×Dic43C2semidirect
15. C2×C4×SD16×C43C2semidirect
22. #14583097C4semidirect
68. C2×#10621884C2×C4semidirect
76. Q8×Dic43C2×C4semidirect
102. Dic43⋊C8C2×C4semidirect
105. #13063247C2×C4semidirect
107. #13063246C2×C4semidirect
121. C2×SD16×C43C2×C4semidirect
135. #103×C43D4semidirect
218. Dic43⋊C4SD16semidirect
250. Q8×C43C4×D4semidirect
346. Dic43C4×SD16semidirect
349. C2×C4×SD16D43semidirect
417. C43#22997semidirect
430. C2×SD16C4×D43semidirect
479. #103C22⋊D43semidirect
606. Q8C4×C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830972
C2×#145829842
#191376572
Q8×Dic43⋊C42
#191353992
#191353552
#191352782
#191352752
#191349522
#191349502
#191348562
#191348532
C8×Dic43⋊C42
#103×Dic432
C2×C4×SD16×C432
#2299743