Finite Group Databasebeta

← #25096594

Subgroups — #25096594

Order 11008.

1802 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×C4×D4×D43C211yesmaximal, characteristic
2C2×#14582951C211yesmaximal, characteristic, complemented
3#19137000C211yesmaximal, characteristic, complemented
4#19134680C212yesmaximal, complemented
5#19134596C211yesmaximal, characteristic, complemented
6#19134595C211yesmaximal, characteristic, complemented
7#19134592C211yesmaximal, characteristic, complemented
8#19134524C212yesmaximal
9#102×Dic43C212yesmaximal, complemented
10#19134409C212yesmaximal, complemented
11C43×#1802C211yesmaximal, characteristic, complemented
12C22×D4×D43C2211yescharacteristic
13C23×C4×D43—21no—
14C2×C4×D172C2211yescharacteristic
15C2×D4×Dic43C2211yescharacteristic
16C2×#13063287C2211yescharacteristic
17C2×C4×C22⋊D43—21no—
18C2×(C22⋊D43)⋊C4—21no—
19C4×D4×D43—24no—
20C4×D4×D43C418yescomplemented
21C2×#13063283—21no—
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×C22⋊C4×D43—21no—
24C2×C42×D43C2211yescharacteristic
25#14582951—24no—
26C2×C4⋊(C43⋊C8)C2211yescharacteristic, complemented
27C2×#13063247C2212yes—
28C2×#13063246C2212yes—
29C2×#13063245C2212yes—
30C2×(C2×D43)⋊C8C2212yes—
31C2×C8×Dic43C2212yescomplemented
32#14582769C2211yescharacteristic, complemented
33#14582764—21no—
34#14582756—21no—
35#14582756C2212yes—
36C4⋊C4×Dic43—21no—
37C4⋊C4×Dic43C2212yescomplemented
38#14582662C2212yescomplemented
39#14582661C2212yescomplemented
40#14582661C2212yescomplemented
41C2×C4×D4×C43C2211yescharacteristic
42C2×C4⋊C8×C43C2211yescharacteristic, complemented
43C2×#102×C43C2212yes—
44C43×#384C2211yescharacteristic, complemented
45C43×#340C2212yescomplemented
46C24×D43—21no—
47C22×D172C2311yescharacteristic
48C22×C22⋊D43—21no—
49C2×D4×D43—22no—
50C2×D4×D43—22no—
51C2×D4×D43—22no—
52C2×D4×D43—22no—
53C2×D4×D43—22no—
54C2×D4×D43C2×C414yes—
55C23×Dic43—21no—
56C22×C4×D43—21no—
57C22×C4×D43—21no—
58C22×C4×D43—21no—
59C22×C4×D43—28no—
60C22×C4×D43—44no—
61C22×C4×D43—44no—
62C22×C4×D43D411yescharacteristic
63C22×C4×D43D411yescharacteristic
64C22×C4×D43C2311yescharacteristic
65C22×C43⋊C8C2312yes—
66C4×D172—22no—
67C4×D172C2×C414yes—
68D4×Dic43—22no—
69D4×Dic43C2×C414yes—
70#13063287—22no—
71#13063287C2×C414yes—
72C4×C22⋊D43—28no—
73(C22⋊D43)⋊C4—28no—
74#13063283—44no—
75C2×C4⋊Dic43—21no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43C2312yes—
78C2×C4⋊Dic43C2311yescharacteristic
79C2×Dic43⋊C4—21no—
80C4⋊C4×D43—22no—
81C4⋊C4×D43C2×C414yes—
82C2×C22⋊Dic43—21no—
83C2×(C2×D43)⋊C4—21no—
84C2×(C2×D43)⋊C4—21no—
85C2×(C2×D43)⋊C4—22no—
86C22⋊C4×D43—28no—
87C2×C4×Dic43—22no—
88C2×C4×Dic43D411yescharacteristic
89C2×C4×Dic43D411yescharacteristic
90C2×C4×Dic43C2311yescharacteristic
91C42×D43C2×C414yes—
92C42×D43D414yes—
93C4⋊(C43⋊C8)—22no—
94#13063247—24no—
95#13063246—24no—
96#13063245—24no—
97(C2×D43)⋊C8—24no—
98C8×Dic43—24no—
99C43⋊#95—22no—
100C43⋊#95—22no—
101C22×D4×C43C2311yescharacteristic
102C23×C4×C43—21no—
103C22×C8×C43C2312yes—
104C4×D4×C43—22no—
105C4×D4×C43C2×C414yes—
106C2×C4⋊C4×C43—21no—
107C2×C4⋊C4×C43—21no—
108C2×C4⋊C4×C43C2312yes—
109C2×C4⋊C4×C43C2311yescharacteristic
110C2×C22⋊C4×C43—21no—
111C2×C42×C43C2311yescharacteristic
112C4⋊C8×C43—22no—
113#102×C43—24no—
114C24×C43—21no—
115C23×D43—24no—
116C23×D43—24no—
117C23×D43—21no—
118C23×D43—24no—
119C23×D43—42no—
120C23×D43—42no—
121C23×D43—42no—
122C23×D43—42no—
123C23×D43C2×D411yescharacteristic
124C2×D4×C43—21no—
125C2×D4×C43—21no—
126C2×D4×C43—21no—
127C2×D4×C43C22×C412yes—
128C2×D4×C43#4112yes—
129C2×D4×C43#4112yes—
130C22×C4×C43—24no—
131C22×C4×C43—21no—
132C22×C4×C43—22no—
133C22×C4×C43—42no—
134C22×C4×C43—42no—
135C22×C4×C43C2×D411yescharacteristic
136C22×C4×C43C2×D411yescharacteristic
137C22×C4×C43C2411yescharacteristic
138C2×C22⋊D43—24no—
139C2×C22⋊D43—24no—
140C2×C22⋊D43—24no—
141C22×Dic43—24no—
142C22×Dic43—21no—
143C22×Dic43—22no—
144C22×Dic43—42no—
145C22×Dic43—42no—
146C22×Dic43C2×D411yescharacteristic
147C22×Dic43C2×D411yescharacteristic
148C22×Dic43C2×D411yescharacteristic
149D4×D43—28no—
150D4×D43—28no—
151D4×D43—28no—
152D4×D43—28no—
153C2×D172—21no—
154C2×D172—21no—
155C2×D172—21no—
156C2×D172C22×C412yes—
157C2×D172#4112yes—
158C2×D172#4112yes—
159C2×C4×D43—21no—
160C2×C4×D43—21no—
161C2×C4×D43—21no—
162C2×C4×D43—21no—
163C2×C4×D43—24no—
164C2×C4×D43—24no—
165C2×C4×D43—24no—
166C2×C4×D43—41no—
167C2×C4×D43—41no—
168C2×C4×D43—42no—
169C2×C4×D43—42no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—432no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43C22⋊C414yes—
176C2×C4×D43C22⋊C414yes—
177C2×C4×D43D814yes—
178C2×C4×D43SD1614yes—
179C2×C4×D43C22×C412yes—
180C2×C4×D43C2×D412yes—
181C2×C8×C43—22no—
182C2×C8×C43—22no—
183C2×C8×C43—22no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—22no—
186C4⋊C4×C43—22no—
187C4⋊C4×C43—42no—
188C4⋊C4×C43—42no—
189C4⋊C4×C43C22×C412yes—
190C22⋊C4×C43—24no—
191C42×C43C22×C412yes—
192C42×C43C2×D412yes—
193C22⋊Dic43—24no—
194(C2×D43)⋊C4—24no—
195(C2×D43)⋊C4—24no—
196(C2×D43)⋊C4—44no—
197C4⋊Dic43—21no—
198C4⋊Dic43—22no—
199C4⋊Dic43—22no—
200C4⋊Dic43—42no—
201C4⋊Dic43—42no—
202C4⋊Dic43C22×C412yes—
203Dic43⋊C4—24no—
204C4×Dic43—44no—
205C4×Dic43C22⋊C414yes—
206C4×Dic43C22⋊C414yes—
207C4×Dic43C22×C412yes—
208C4×Dic43C2×D412yes—
209C2×C43⋊C8—22no—
210C2×C43⋊C8—22no—
211C2×C43⋊C8—22no—
212C23×C43—22no—
213C23×C43—22no—
214C23×C43—22no—
215C23×C43—41no—
216C23×C43—41no—
217C23×C43—41no—
218C23×C43—41no—
219C23×C43C22×D411yescharacteristic
220C22×D43—21no—
221C22×D43—21no—
222C22×D43—21no—
223C22×D43—21no—
224C22×D43—216no—
225C22×D43—22no—
226C22×D43—22no—
227C22×D43—22no—
228C22×D43—48no—
229C22×D43—48no—
230C22×D43—48no—
231C22×D43—48no—
232C22×D43—48no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—48no—
238C22×D43C2×C22⋊C412yes—
239C22×D43C2×D812yes—
240C22×D43C2×SD1612yes—
241D4×C43—22no—
242D4×C43—22no—
243D4×C43—22no—
244D4×C43#11714yescomplemented
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—22no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—48no—
251C2×C4×C43—42no—
252C2×C4×C43—42no—
253C2×C4×C43—42no—
254C2×C4×C43C2×C22⋊C412yes—
255C2×C4×C43C2×C22⋊C412yes—
256C2×C4×C43C2×D812yes—
257C2×C4×C43C2×SD1612yes—
258C2×C4×C43C23×C411yescharacteristic
259C2×C4×C43C22×D411yescharacteristic
260C2×C4×C43C2×#4111yescharacteristic
261C2×C4×C43C2×#4111yescharacteristic
262C2×C4×C43C2×#4111yescharacteristic
263C2×C4×C43C2×#4111yescharacteristic
264C22⋊D43—216no—
265C2×Dic43—21no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—22no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—48no—
273C2×Dic43—42no—
274C2×Dic43—42no—
275C2×Dic43—42no—
276C2×Dic43C2×C22⋊C412yes—
277C2×Dic43C2×C22⋊C412yes—
278C2×Dic43C2×C22⋊C412yes—
279C2×Dic43C2×D812yes—
280C2×Dic43C2×SD1612yes—
281D172—22no—
282D172—22no—
283D172—22no—
284D172#11714yescomplemented
285C4×D43—22no—
286C4×D43—22no—
287C4×D43—22no—
288C4×D43—22no—
289C4×D43—44no—
290C4×D43—48no—
291C4×D43—48no—
292C4×D43—48no—
293C4×D43#102116yescomplemented
294C8×C43—42no—
295C43⋊C8—42no—
296#20732—431nomaximal, Sylow
297C22×C43—24no—
298C22×C43—42no—
299C22×C43—42no—
300C22×C43—42no—
301C22×C43—42no—
302C22×C43—42no—
303C22×C43—42no—
304C22×C43C22×C22⋊C411yescharacteristic
305C22×C43#52511yescharacteristic
306C22×C43#52511yescharacteristic
307C22×C43C22×D811yescharacteristic
308C22×C43C22×SD1611yescharacteristic
309C22×C43#57511yescharacteristic
310C22×C43#57511yescharacteristic
311C2×D43—22no—
312C2×D43—22no—
313C2×D43—22no—
314C2×D43—22no—
315C2×D43—22no—
316C2×D43—22no—
317C2×D43—24no—
318C2×D43—432no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43C2×#10214yes—
326C4×C43—22no—
327C4×C43—42no—
328C4×C43—82no—
329C4×C43C2×#10214yes—
330C4×C43C2×#11711yescharacteristic
331C4×C43C2×#11711yescharacteristic
332C4×C43#52511yescharacteristic
333C4×C43#52511yescharacteristic
334Dic43—22no—
335Dic43—22no—
336Dic43—42no—
337Dic43—82no—
338Dic43C2×#10214yes—
339C22×C4×D4—431no—
340C2×#431—431no—
341#2285—431no—
342#1823—432no—
343#1802—431no—
344#1802—431no—
345#1802—431no—
346#1802D4311yescharacteristic, complemented
347#1786—432no—
348C4×#102—432no—
349C4×#102—432no—
350C2×C43—44no—
351C2×C43#228011yescharacteristic
352C2×C43C22×#10211yescharacteristic
353C2×C43#289611yescharacteristic
354C2×C43#310011yescharacteristic
355C2×C43#310011yescharacteristic
356C2×C43#310111yescharacteristic
357C2×C43#310111yescharacteristic
358D43—24no—
359D43—44no—
360C23×D4—431no—
361C24×C4—861no—
362C2×C4×D4—431no—
363C2×C4×D4—438no—
364C2×C4×D4—431no—
365C2×C4×D4—431no—
366C2×C4×D4—861no—
367C2×C4×D4—864no—
368C2×C4×D4—861no—
369C2×C4×D4C2×D4311yescharacteristic
370C2×#117—861no—
371C22×C4⋊C4—431no—
372C22×C22⋊C4—861no—
373C22×C42—431no—
374#431—864no—
375C2×C4⋊C8—431no—
376C2×C4⋊C8C2×D4311yescharacteristic, complemented
377C2×#102—432no—
378C2×#102—432no—
379C2×#102—432no—
380C2×#102C2×D4312yes—
381C2×C22⋊C8—432no—
382C2×C4×C8—432no—
383#384—431no—
384#384C2×D4311yescharacteristic, complemented
385#382—861no—
386#380—432no—
387#380—861no—
388C4×C4⋊C4—432no—
389C4×C4⋊C4—861no—
390#340—432no—
391#340—432no—
392#340—432no—
393#340C2×D4312yescomplemented
394C43#2073211yescharacteristic, complemented, Sylow
395C25—861no—
396C22×D4—434no—
397C22×D4—431no—
398C22×D4—862no—
399C22×D4—861no—
400C22×D4—862no—
401C22×D4—862no—
402C22×D4—862no—
403C22×D4—862no—
404C22×D4C22×D4311yescharacteristic
405C23×C4—21no—
406C23×C4—431no—
407C23×C4—431no—
408C23×C4—431no—
409C23×C4—861no—
410C23×C4—868no—
411C23×C4—861no—
412C23×C4—861no—
413C23×C4—861no—
414C23×C4—1724no—
415C23×C4—1724no—
416C22×C8—432no—
417C22×C8C22×D4312yes—
418C4×D4—22no—
419C4×D4—434no—
420C4×D4—434no—
421C4×D4—434no—
422C4×D4—868no—
423C4×D4—862no—
424C4×D4—868no—
425C4×D4—862no—
426C4×D4—862no—
427C4×D4C4×D4314yes—
428#117—1724no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—431no—
432C2×C4⋊C4—434no—
433C2×C4⋊C4—432no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—861no—
436C2×C4⋊C4—861no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4C22×D4312yes—
439C2×C4⋊C4C22×D4311yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—868no—
442C2×C22⋊C4—861no—
443C2×C22⋊C4—861no—
444C2×C22⋊C4—861no—
445C2×C22⋊C4—862no—
446C2×C42—431no—
447C2×C42—431no—
448C2×C42—431no—
449C2×C42—434no—
450C2×C42—434no—
451C2×C42—862no—
452C2×C42C22×D4311yescharacteristic
453C4⋊C8—22no—
454C4⋊C8—862no—
455#102—24no—
456#102—864no—
457#102—864no—
458#102—864no—
459C22⋊C8—864no—
460C4×C8—864no—
461#95—862no—
462#95—862no—
463C24—21no—
464C24—431no—
465C24—864no—
466C24—864no—
467C24—864no—
468C24—861no—
469C24—1722no—
470C24—1722no—
471C24—1722no—
472C24—1722no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—432no—
477C2×D4—432no—
478C2×D4—432no—
479C2×D4—864no—
480C2×D4—868no—
481C2×D4—868no—
482C2×D4—868no—
483C2×D4—864no—
484C2×D4—864no—
485C2×D4—868no—
486C2×D4—861no—
487C2×D4—861no—
488C2×D4—861no—
489C2×D4C2×C4×D4312yes—
490C2×D4#1062190012yes—
491C2×D4#1062190212yes—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—431no—
498C22×C4—434no—
499C22×C4—434no—
500C22×C4—434no—
501C22×C4—431no—
502C22×C4—431no—
503C22×C4—432no—
504C22×C4—432no—
505C22×C4—434no—
506C22×C4—864no—
507C22×C4—864no—
508C22×C4—864no—
509C22×C4—861no—
510C22×C4—861no—
511C22×C4—861no—
512C22×C4—861no—
513C22×C4—861no—
514C22×C4—864no—
515C22×C4—862no—
516C22×C4—1721no—
517C22×C4—1721no—
518C22×C4—1722no—
519C22×C4—1722no—
520C22×C4—17232no—
521C22×C4—1722no—
522C22×C4—1722no—
523C22×C4—1722no—
524C22×C4—1722no—
525C22×C4—1722no—
526C22×C4—1722no—
527C22×C4D4×D4311yescharacteristic
528C22×C4D4×D4311yescharacteristic
529C22×C4C23×D4311yescharacteristic
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—862no—
534C2×C8—862no—
535C2×C8—862no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—432no—
542C4⋊C4—864no—
543C4⋊C4—861no—
544C4⋊C4—862no—
545C4⋊C4—862no—
546C4⋊C4—1722no—
547C4⋊C4—1722no—
548C4⋊C4C2×C4×D4312yes—
549C22⋊C4—24no—
550C22⋊C4—864no—
551C22⋊C4—864no—
552C22⋊C4—864no—
553C22⋊C4—1724no—
554C42—434no—
555C42—434no—
556C42—432no—
557C42—432no—
558C42—1724no—
559C42C2×C4×D4312yes—
560C42D4×D4312yes—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—432no—
569C23—432no—
570C23—432no—
571C23—8616no—
572C23—861no—
573C23—861no—
574C23—861no—
575C23—861no—
576C23—862no—
577C23—862no—
578C23—862no—
579C23—1728no—
580C23—1728no—
581C23—1728no—
582C23—1728no—
583C23—1728no—
584C23—1728no—
585C23—1721no—
586C23—1721no—
587C23—1721no—
588C23—1721no—
589C23C2×D4×D4311yescharacteristic
590D4—22no—
591D4—22no—
592D4—22no—
593D4—434no—
594D4—8616no—
595D4—862no—
596D4—862no—
597D4—862no—
598D4#1306328314yescomplemented
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—48no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—432no—
609C2×C4—432no—
610C2×C4—432no—
611C2×C4—4316no—
612C2×C4—432no—
613C2×C4—432no—
614C2×C4—861no—
615C2×C4—861no—
616C2×C4—861no—
617C2×C4—861no—
618C2×C4—862no—
619C2×C4—862no—
620C2×C4—862no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—1724no—
624C2×C4—1728no—
625C2×C4—1728no—
626C2×C4—1728no—
627C2×C4—1722no—
628C2×C4—1722no—
629C2×C4—1722no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1728no—
633C2×C4C22⋊C4×D4312yes—
634C2×C4C22⋊C4×D4312yes—
635C2×C4D8×D4312yes—
636C2×C4SD16×D4312yes—
637C2×C4C22×C4×D4311yescharacteristic
638C2×C4C2×D4×D4311yescharacteristic
639C2×C4#41×D4311yescharacteristic
640C2×C4#41×D4311yescharacteristic
641C2×C4C2×#1062190011yescharacteristic
642C2×C4C2×#1062190211yescharacteristic
643C8—42no—
644C8—1722no—
645C22—24no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—434no—
653C22—862no—
654C22—862no—
655C22—862no—
656C22—862no—
657C22—862no—
658C22—862no—
659C22—864no—
660C22—17232no—
661C22—1722no—
662C22—1722no—
663C22—1722no—
664C22—1722no—
665C22—1722no—
666C22—1722no—
667C22C2×C22⋊C4×D4311yescharacteristic
668C22#1458340911yescharacteristic
669C22#1458341211yescharacteristic
670C22C2×D8×D4311yescharacteristic
671C22C2×SD16×D4311yescharacteristic
672C22#1458369511yescharacteristic
673C22#1458369811yescharacteristic
674C4—22no—
675C4—42no—
676C4—82no—
677C4—434no—
678C4—862no—
679C4—862no—
680C4—3442no—
681C4—1722no—
682C4#102×D4314yes—
683C4#117×D4311yescharacteristic
684C4C2×#1306328311yescharacteristic
685C4#1458340911yescharacteristic
686C4#1458341211yescharacteristic
687C2—44no—
688C2—864no—
689C2—1724no—
690C2#1913697711yescharacteristic
691C2C2×#102×D4311yescharacteristic
692C2#1914311111yescharacteristic
693C2#1914459411yescharacteristic
694C2#1914459711yescharacteristic
695C2#1914460211yescharacteristic
696C2#1914460511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1802C2
socleC23×C43C22×D4
prime radicalC22×D4×D43C22
cosocleC22×C4×C43C24
hypercenter#1802D43
hypocenterC43#20732
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
2. C2×#14582951C2semidirect
3. #19137000C2semidirect
4. #19134680C2semidirect
5. #19134596C2semidirect
6. #19134595C2semidirect
7. #19134592C2semidirect
9. #102×Dic43C2semidirect
10. #19134409C2semidirect
11. C43×#1802C2semidirect
20. C4×D4×D43C4semidirect
26. C2×C4⋊(C43⋊C8)C22semidirect
31. C2×C8×Dic43C22semidirect
32. #14582769C22semidirect
37. C4⋊C4×Dic43C22semidirect
38. #14582662C22semidirect
39. #14582661C22semidirect
40. #14582661C22semidirect
42. C2×C4⋊C8×C43C22semidirect
44. C43×#384C22semidirect
45. C43×#340C22semidirect
244. D4×C43#117semidirect
284. D172#117semidirect
293. C4×D43#102semidirect
346. #1802D43semidirect
376. C2×C4⋊C8C2×D43semidirect
384. #384C2×D43semidirect
393. #340C2×D43semidirect
394. C43#20732semidirect
598. D4#13063283semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D432
C2×#145829512
#191370002
#191346802
#191345962
#191345952
#191345922
#191345242
#102×Dic432
#191344092
C43×#18022
#2073243