Finite Group Databasebeta

← #25133009

Subgroups — #25133009

Order 11008.

1262 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic86C211yesmaximal, characteristic
2C2×#14583182C211yesmaximal, characteristic, complemented
3C2×SD16×Dic43C211yesmaximal, characteristic
4#19139966C211yesmaximal, characteristic, complemented
5#19135929C211yesmaximal, characteristic, complemented
6#19135927C211yesmaximal, characteristic, complemented
7#19135736C211yesmaximal, characteristic, complemented
8#19135734C211yesmaximal, characteristic, complemented
9#19135554C211yesmaximal, characteristic, complemented
10#19135529C211yesmaximal, characteristic, complemented
11#19134931C211yesmaximal, characteristic
12#19134858C211yesmaximal, characteristic
13#19134856C211yesmaximal, characteristic
14#19134593C211yesmaximal, characteristic
15C43×#1877C211yesmaximal, characteristic
16C23×Dic86—21no—
17D4×Dic86—24no—
18D4×Dic86—24no—
19C2×#13063325C2211yescharacteristic
20C2×#13063324C2211yescharacteristic
21C2×#13063324C2211yescharacteristic
22C2×#13063304—21no—
23C2×#13063302—21no—
24C2×#13063302—21no—
25C2×Q8×Dic43C2211yescharacteristic
26C2×C4×Dic86C2211yescharacteristic
27C2×D4×Dic43C2211yescharacteristic
28C2×D4×Dic43C2211yescharacteristic
29#14583182—24no—
30SD16×Dic43—24no—
31C2×#13063257C2211yescharacteristic
32C2×#13063257C2211yescharacteristic
33C2×#13063256C2211yescharacteristic
34C2×Dic43⋊C8C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×#13063249C2211yescharacteristic
37C2×#13063246C2211yescharacteristic
38C2×#13063246C2211yescharacteristic
39C2×C8×Dic43C2211yescharacteristic
40#14582833—21no—
41#14582831—21no—
42#14582806C2211yescharacteristic
43#14582803—21no—
44#14582798C2211yescharacteristic
45#14582797C2211yescharacteristic
46#14582796—21no—
47#14582768C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C22×SD16×C43C2211yescharacteristic
57C2×C4×D4×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C2×#102×C43C2211yescharacteristic
60C43×#391C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86—28no—
64C22×Dic86—21no—
65C22×Dic86—21no—
66C22×Dic86—21no—
67C22×Dic86—44no—
68C22×Dic86—44no—
69C22×Dic86D411yescharacteristic
70C23×Dic43—21no—
71C23×Dic43—21no—
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74#13063325—22no—
75#13063325—22no—
76#13063324—22no—
77#13063324—22no—
78#13063324—22no—
79#13063324D414yes—
80#13063304—28no—
81#13063302—28no—
82#13063302—28no—
83Q8×Dic43—22no—
84Q8×Dic43—22no—
85C4×Dic86—22no—
86C4×Dic86—22no—
87D4×Dic43—22no—
88D4×Dic43—22no—
89D4×Dic43—22no—
90D4×Dic43D414yes—
91C2×C4⋊Dic43—21no—
92C2×C4⋊Dic43—21no—
93C2×C4⋊Dic43—21no—
94C2×C4⋊Dic43D411yescharacteristic
95C2×C4⋊Dic43C2311yescharacteristic
96C2×C4⋊Dic43C2311yescharacteristic
97C2×C4⋊Dic43C2311yescharacteristic
98C2×C4⋊Dic43C2311yescharacteristic
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4—21no—
102C2×Dic43⋊C4—21no—
103C2×Dic43⋊C4—21no—
104C2×Dic43⋊C4D411yescharacteristic
105C2×Dic43⋊C4D411yescharacteristic
106C2×C22⋊Dic43—21no—
107C2×C22⋊Dic43—21no—
108C2×C4×Dic43—21no—
109C2×C4×Dic43C2311yescharacteristic
110C2×C4×Dic43C2311yescharacteristic
111#13063257—22no—
112#13063257—22no—
113#13063256—22no—
114Dic43⋊C8—22no—
115#13063249—22no—
116#13063249—22no—
117#13063246—22no—
118#13063246—22no—
119C8×Dic43—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C43⋊#95—21no—
124C22×Q8×C43C2311yescharacteristic
125C22×D4×C43C2311yescharacteristic
126C23×C4×C43—21no—
127C2×SD16×C43—22no—
128C2×SD16×C43—22no—
129C2×SD16×C43Q814yescomplemented
130C22×C8×C43C2311yescharacteristic
131C22×C8×C43C2311yescharacteristic
132C4×D4×C43—22no—
133C4×D4×C43—22no—
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C22⋊C4×C43—21no—
137C2×C42×C43C2311yescharacteristic
138#103×C43—22no—
139#102×C43—22no—
140#95×C43—21no—
141#95×C43—21no—
142C24×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43C2×Q812yescomplemented
149C2×D4×C43—21no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43C2×D412yes—
153C2×D4×C43C2×Q812yes—
154C2×D4×C43#4112yes—
155C22×C4×C43—24no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—42no—
160C22×C4×C43—42no—
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2411yescharacteristic
164C22×Dic43—24no—
165C22×Dic43—24no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—21no—
170C22×Dic43—42no—
171C22×Dic43—42no—
172C22×Dic43—42no—
173C22×Dic43—42no—
174C22×Dic43C2×D411yescharacteristic
175C22×Dic43C2×D411yescharacteristic
176C22×Dic43C2×D411yescharacteristic
177C22×Dic43C2×D411yescharacteristic
178C2×Dic86—22no—
179C2×Dic86—22no—
180C2×Dic86—24no—
181C2×Dic86—24no—
182C2×Dic86—24no—
183C2×Dic86—432no—
184C2×Dic86—42no—
185C2×Dic86—42no—
186C2×Dic86—42no—
187C2×Dic86—42no—
188C2×Dic86—42no—
189C2×Dic86—42no—
190C2×Dic86SD1614yescomplemented
191SD16×C43—28no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C2×Q812yescomplemented
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43C2×D412yes—
202C22⋊C4×C43—24no—
203C42×C43—21no—
204C42×C43—21no—
205C22⋊Dic43—24no—
206C22⋊Dic43—24no—
207C4⋊Dic43—24no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—22no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—42no—
216C4⋊Dic43—81no—
217C4⋊Dic43C2×D412yes—
218C4⋊Dic43C2×D412yes—
219Dic43⋊C4—24no—
220Dic43⋊C4—24no—
221Dic43⋊C4—22no—
222Dic43⋊C4—22no—
223Dic43⋊C4—42no—
224Dic43⋊C4—81no—
225Dic43⋊C4—81no—
226C4×Dic43—21no—
227C4×Dic43—21no—
228C4×Dic43—42no—
229C4×Dic43C2×D412yes—
230C4×Dic43C2×D412yes—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8—21no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C23×C43—22no—
238C23×C43—22no—
239C23×C43—22no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43C22×D411yescharacteristic
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—41no—
248Q8×C43—41no—
249D4×C43—22no—
250D4×C43—22no—
251D4×C43—22no—
252D4×C43C22⋊Q814yes—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—48no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43C2×SD1612yes—
269C2×C4×C43C22×D411yescharacteristic
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×Q811yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C432−1+411yescharacteristic
274C2×C4×C432−1+411yescharacteristic
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—48no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—48no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43#12012yes—
297C2×Dic43#12012yes—
298C2×Dic43C2×SD1612yes—
299C2×Dic43C2×SD1612yes—
300C2×Dic43AGL(1,ℤ/8)12yes—
301Dic86—28no—
302Dic86—48no—
303Dic86—48no—
304Dic86—48no—
305C8×C43—22no—
306C8×C43—41no—
307C43⋊C8—41no—
308C43⋊C8—41no—
309#24330—431nomaximal, Sylow
310C22×C43—24no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43C2×#12011yescharacteristic
318C22×C43#54811yescharacteristic
319C22×C43D4×Q811yescharacteristic
320C22×C43C22×SD1611yescharacteristic
321C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C4×C43—22no—
325C4×C43—42no—
326C4×C43—42no—
327C4×C43—41no—
328C4×C43—81no—
329C4×C43C2×C22⋊Q811yescharacteristic
330C4×C43#53611yescharacteristic
331C4×C43#54811yescharacteristic
332C4×C43D4×Q811yescharacteristic
333Dic43—22no—
334Dic43—22no—
335Dic43—42no—
336Dic43—42no—
337Dic43—41no—
338Dic43—81no—
339Dic43—81no—
340Dic43#45014yes—
341C2×D4×Q8—431no—
342C2×#475—431no—
343C2×C4×SD16—431no—
344#2582—431no—
345#2058—431no—
346#2058—431no—
347#2024—431no—
348#2024—431no—
349#1990—431no—
350#1984—431no—
351#1877—431no—
352#1877D4311yescharacteristic
353#1864—431no—
354#1864—431no—
355#1802—431no—
356C2×C43—44no—
357C2×C43#240911yescharacteristic
358C2×C43C2×#45011yescharacteristic
359C2×C43#301311yescharacteristic
360C2×C43#335911yescharacteristic
361C2×C43#337311yescharacteristic
362C2×C43Q8×SD1611yescharacteristic
363C2×C43#338611yescharacteristic
364C23×Q8—861no—
365C22×SD16C2×D4311yescharacteristic
366D4×Q8—864no—
367D4×Q8—864no—
368C2×C4⋊Q8—431no—
369C2×C4⋊Q8—431no—
370C2×C4⋊Q8—431no—
371C2×C22⋊Q8—861no—
372C2×C22⋊Q8—861no—
373C2×C22⋊Q8—861no—
374C2×C4×Q8—431no—
375C2×C4×Q8—431no—
376C2×C4×D4—431no—
377C2×C4×D4—431no—
378C2×C4×D4C2×D4311yescharacteristic
379#475—864no—
380C4×SD16—864no—
381C2×#106—431no—
382C2×#106—431no—
383C2×#106—431no—
384C2×C4⋊C8—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103C2×D4311yescharacteristic
388C2×#102—431no—
389C2×#102—431no—
390C2×#102C2×D4311yescharacteristic
391C2×C4×C8—431no—
392#398—861no—
393#398—861no—
394#391—431no—
395#391—861no—
396#391C2×D4311yescharacteristic
397#389—431no—
398#389—431no—
399#389—861no—
400#384—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404#340—431no—
405#340—431no—
406#340C2×D4311yescharacteristic
407#336—431no—
408#336—431no—
409#336—431no—
410#336C2×D4311yescharacteristic
411C43#2433011yescharacteristic, complemented, Sylow
412C22×Q8—431no—
413C22×Q8—861no—
414C22×Q8—861no—
415C22×Q8—868no—
416C22×Q8—861no—
417C22×Q8—1724no—
418C22×Q8—1724no—
419C22×Q8C22×D4311yescharacteristic
420C22×D4C22×D4311yescharacteristic
421C23×C4—21no—
422C23×C4—861no—
423C23×C4—861no—
424C2×SD16—22no—
425C2×SD16—22no—
426C2×SD16Dic8614yescomplemented
427C22×C8—431no—
428C22×C8—431no—
429C22×C8C22×D4311yescharacteristic
430C22×C8C22×D4311yescharacteristic
431C4⋊Q8—434no—
432C4⋊Q8—862no—
433C4⋊Q8—862no—
434C4⋊Q8—862no—
435C4⋊Q8—862no—
436C4⋊Q8—862no—
437C22⋊Q8—868no—
438C22⋊Q8—868no—
439C22⋊Q8—868no—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×Q8—862no—
443C4×Q8—862no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—434no—
447C4×D4—862no—
448C4×D4—862no—
449C4×D4—862no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4—861no—
461C2×C4⋊C4—861no—
462C2×C4⋊C4—861no—
463C2×C4⋊C4—861no—
464C2×C4⋊C4—861no—
465C2×C4⋊C4C22×D4311yescharacteristic
466C2×C4⋊C4C22×D4311yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C42—431no—
471C2×C42—431no—
472C2×C42—861no—
473C2×C42C22×D4311yescharacteristic
474#106—862no—
475#106—862no—
476#106—862no—
477C4⋊C8—862no—
478#103—22no—
479#103—862no—
480#103—862no—
481#102—22no—
482#102—862no—
483#102—862no—
484C4×C8—862no—
485#95—21no—
486#95—21no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491C24—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—434no—
498C2×Q8—862no—
499C2×Q8—862no—
500C2×Q8—864no—
501C2×Q8—864no—
502C2×Q8—864no—
503C2×Q8—1722no—
504C2×Q8—1722no—
505C2×Q8—1722no—
506C2×Q8—1722no—
507C2×Q8—1722no—
508C2×Q8—17232no—
509C2×Q8—1722no—
510C2×Q8C2×Dic8612yescomplemented
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C2×Dic8612yes—
515C2×D4D4×D4312yes—
516C2×D4#1062190012yes—
517C22×C4—24no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—431no—
524C22×C4—431no—
525C22×C4—431no—
526C22×C4—431no—
527C22×C4—864no—
528C22×C4—864no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—1722no—
534C22×C4—1722no—
535C22×C4—1722no—
536C22×C4—1722no—
537C22×C4D4×D4311yescharacteristic
538C22×C4D4×D4311yescharacteristic
539C22×C4C23×D4311yescharacteristic
540SD16—28no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8C2×Dic8612yescomplemented
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—432no—
557C4⋊C4—432no—
558C4⋊C4—862no—
559C4⋊C4—862no—
560C4⋊C4—862no—
561C4⋊C4—864no—
562C4⋊C4—864no—
563C4⋊C4—864no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—861no—
569C4⋊C4—861no—
570C4⋊C4—3441no—
571C4⋊C4—3441no—
572C4⋊C4—3441no—
573C4⋊C4—1722no—
574C4⋊C4—1722no—
575C4⋊C4D4×D4312yes—
576C22⋊C4—24no—
577C22⋊C4—864no—
578C22⋊C4—864no—
579C42—21no—
580C42—21no—
581C42—432no—
582C42—432no—
583C42—861no—
584C42—861no—
585C42—1722no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23C2×D4×D4311yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—868no—
599Q8—1728no—
600Q8—1728no—
601Q8—1728no—
602D4—22no—
603D4—22no—
604D4—22no—
605D4#1306330214yes—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—432no—
622C2×C4—432no—
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—862no—
632C2×C4—862no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—1728no—
636C2×C4—1728no—
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×C4—1721no—
647C2×C4SD16×D4312yes—
648C2×C4C2×D4×D4311yescharacteristic
649C2×C4C2×D4×D4311yescharacteristic
650C2×C4C22×Dic8611yescharacteristic
651C2×C4C2×#1062190011yescharacteristic
652C2×C4#1306337211yescharacteristic
653C2×C4#1306337211yescharacteristic
654C8—22no—
655C8—41no—
656C8—1721no—
657C8—1721no—
658C22—24no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22#120×D4311yescharacteristic
666C22#1458355511yescharacteristic
667C22D4×Dic8611yescharacteristic
668C22C2×SD16×D4311yescharacteristic
669C22AGL(1,ℤ/8)×D4311yescharacteristic
670C22#1458370611yescharacteristic
671C22#1458371511yescharacteristic
672C4—22no—
673C4—42no—
674C4—42no—
675C4—41no—
676C4—81no—
677C4—434no—
678C4—862no—
679C4—862no—
680C4—3441no—
681C4—3441no—
682C4—1722no—
683C4—1722no—
684C4—1721no—
685C4C2×#1306330211yescharacteristic
686C4#1458347111yescharacteristic
687C4#1458355511yescharacteristic
688C4D4×Dic8611yescharacteristic
689C2—44no—
690C2#1913795711yescharacteristic
691C2#450×D4311yescharacteristic
692C2#1914391411yescharacteristic
693C2#1914723211yescharacteristic
694C2#1914738211yescharacteristic
695C2SD16×Dic8611yescharacteristic
696C2#1914751711yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1877C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
hypercenter#1877D43
hypocenterC43#24330
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
2. C2×#14583182C2semidirect
4. #19139966C2semidirect
5. #19135929C2semidirect
6. #19135927C2semidirect
7. #19135736C2semidirect
8. #19135734C2semidirect
9. #19135554C2semidirect
10. #19135529C2semidirect
129. C2×SD16×C43Q8semidirect
148. C2×Q8×C43C2×Q8semidirect
190. C2×Dic86SD16semidirect
197. C2×C8×C43C2×Q8semidirect
411. C43#24330semidirect
426. C2×SD16Dic86semidirect
510. C2×Q8C2×Dic86semidirect
552. C2×C8C2×Dic86semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic862
C2×#145831822
C2×SD16×Dic432
#191399662
#191359292
#191359272
#191357362
#191357342
#191355542
#191355292
#191349312
#191348582
#191348562
#191345932
C43×#18772
#2433043