Finite Group Databasebeta

← #25256004

Subgroups — #25256004

Order 11008.

2598 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic43C211yesmaximal, characteristic
2#19137559C212yesmaximal, complemented
3#19137533C214yesmaximal, complemented
4#19137500C212yesmaximal, complemented
5#19137482C211yesmaximal, characteristic, complemented
6#19137478C211yesmaximal, characteristic, complemented
7#19137457C212yesmaximal, complemented
8#19137451C212yesmaximal, complemented
9#19137425C211yesmaximal, characteristic
10#19137070C212yesmaximal, complemented
11#19137035C214yesmaximal, complemented
12#19136990C211yesmaximal, characteristic, complemented
13#19136986C212yesmaximal, complemented
14C4×D4×Dic43C212yesmaximal, complemented
15C4×#13063281C211yesmaximal, characteristic, complemented
16C2×#14582744C212yesmaximal, complemented
17C43×#2339C211yesmaximal, characteristic
18#41×Dic43C4116yescomplemented
19C2×Q8×Dic43C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×D4×Dic43C2212yes—
22C2×D4×Dic43C2211yescharacteristic
23C2×D4×Dic43C2211yescharacteristic
24C2×D4×Dic43C2212yes—
25C2×D4×Dic43C2212yes—
26C2×#13063284C2212yes—
27C2×#13063284C2211yescharacteristic
28C2×#13063281C2212yes—
29C22×C4×Dic43C2214yes—
30C22×C4×Dic43C2212yes—
31C22×C4×Dic43C2211yescharacteristic
32#14582806C2212yes—
33#14582797C2212yes—
34#14582795C2212yes—
35#14582793C2214yes—
36#14582787C2214yes—
37#14582784C2214yes—
38#14582784C2214yes—
39#14582782C2214yes—
40#14582782C2214yes—
41#14582779C2214yes—
42#14582772C2214yes—
43#14582771C2214yes—
44#14582766C2214yes—
45#14582766C2212yes—
46#14582764C2212yes—
47#14582763C2212yes—
48#14582763C2212yes—
49#14582762C2212yes—
50#14582760C2212yes—
51#14582759C2211yescharacteristic
52#14582757C2214yes—
53C4⋊C4×Dic43C2212yes—
54C4⋊C4×Dic43C2212yes—
55C4×Dic43⋊C4C2212yes—
56C4×C4⋊Dic43C2212yes—
57#14582750C2214yes—
58#14582750C2211yescharacteristic
59#14582750C2211yescharacteristic
60C22⋊C4×Dic43C2212yes—
61C22⋊C4×Dic43C2214yes—
62C22⋊C4×Dic43C2212yes—
63C22⋊C4×Dic43C2214yes—
64C4×C22⋊Dic43C2211yescharacteristic
65C4×C22⋊Dic43C2214yes—
66#14582744C2214yes—
67#14582744C2214yes—
68#14582744C2211yescharacteristic
69#14582744C2212yes—
70#14582744C2212yes—
71#14582744C2212yes—
72#14582744C2211yescharacteristic
73C2×C43⋊#95C2212yes—
74C2×C43⋊#95C2214yes—
75C42×Dic43C2212yes—
76C22×#41×C43C2211yescharacteristic
77C2×C4×D4×C43C2212yes—
78C43×#391C2212yes—
79C43×#386C2214yes—
80C43×#381C2212yes—
81C43×#380C2211yescharacteristic
82C4×C22⋊C4×C43C2211yescharacteristic
83C2×#95×C43C2212yes—
84C23×Dic43C2314yes—
85C23×Dic43C2312yes—
86C23×Dic43C2311yescharacteristic
87C23×Dic43C2312yes—
88C23×Dic43C2311yescharacteristic
89Q8×Dic43C2×C418yescomplemented
90Q8×Dic43C2×C418yescomplemented
91D4×Dic43—28no—
92D4×Dic43C2×C418yes—
93D4×Dic43C2×C418yes—
94D4×Dic43C2×C4116yescomplemented
95D4×Dic43C2×C4116yescomplemented
96#13063284C2×C418yescomplemented
97#13063284C2×C4116yescomplemented
98#13063281—28no—
99C2×C4⋊Dic43C2312yes—
100C2×C4⋊Dic43C2312yes—
101C2×C4⋊Dic43C2312yes—
102C2×C4⋊Dic43C2311yescharacteristic
103C2×C4⋊Dic43C2311yescharacteristic
104C2×Dic43⋊C4C2312yes—
105C2×Dic43⋊C4C2312yes—
106C2×Dic43⋊C4C2314yes—
107C2×Dic43⋊C4C2314yes—
108C2×C22⋊Dic43C2312yes—
109C2×C22⋊Dic43C2314yes—
110C2×C22⋊Dic43C2312yes—
111C2×C22⋊Dic43C2312yes—
112C2×C22⋊Dic43C2312yes—
113C2×C22⋊Dic43C2312yes—
114C2×C4×Dic43—216no—
115C2×C4×Dic43C2×C418yescomplemented
116C2×C4×Dic43C2×C4116yescomplemented
117C2×C4×Dic43C2314yes—
118C2×C4×Dic43C2314yes—
119C2×C4×Dic43C2312yes—
120C2×C4×Dic43C2314yes—
121C2×C4×Dic43C2312yes—
122C2×C4×Dic43C2312yes—
123C2×C4×Dic43C2312yes—
124C2×C4×Dic43C2311yescharacteristic
125C2×C4×Dic43C2312yes—
126C2×C4×Dic43C2311yescharacteristic
127C2×C4×Dic43C2311yescharacteristic
128C2×C4×Dic43C2312yes—
129C2×C4×Dic43C2312yes—
130C2×C4×Dic43C2311yescharacteristic
131C2×C4×Dic43C2312yes—
132C43⋊#95C2314yes—
133C43⋊#95C2314yes—
134C43⋊#95C2314yes—
135C43⋊#95C2314yes—
136C43⋊#95C2314yes—
137C43⋊#95C2314yes—
138C43⋊#95C2314yes—
139C43⋊#95C2314yes—
140C43⋊#95C2311yescharacteristic
141C43⋊#95C2312yes—
142C43⋊#95C2314yes—
143C43⋊#95C2312yes—
144C43⋊#95C2311yescharacteristic
145C43⋊#95C2312yes—
146C2×#41×C43—28no—
147C2×#41×C43C2×C418yes—
148C22×Q8×C43C2311yescharacteristic
149C22×D4×C43C2312yes—
150C22×D4×C43C2311yescharacteristic
151C23×C4×C43C2314yes—
152C23×C4×C43C2312yes—
153C23×C4×C43C2311yescharacteristic
154C4×D4×C43—28no—
155C2×C4⋊C4×C43C2312yes—
156C2×C22⋊C4×C43C2312yes—
157C2×C22⋊C4×C43C2314yes—
158C2×C22⋊C4×C43C2312yes—
159C2×C42×C43C2312yes—
160#95×C43C2314yes—
161#95×C43C2314yes—
162#95×C43C2311yescharacteristic
163#95×C43C2312yes—
164#95×C43C2311yescharacteristic
165C24×C43C2411yescharacteristic
166C24×C43C2412yes—
167#41×C43—232no—
168C2×Q8×C43—24no—
169C2×Q8×C43C22×C414yes—
170C2×D4×C43—28no—
171C2×D4×C43C22×C418yes—
172C2×D4×C43C22×C414yes—
173C2×D4×C43#4118yes—
174C22×C4×C43—24no—
175C22×C4×C43—28no—
176C22×C4×C43—28no—
177C22×C4×C43—28no—
178C22×C4×C43—44no—
179C22×C4×C43C22×C414yes—
180C22×C4×C43C22×C418yes—
181C22×C4×C43C2412yes—
182C22×C4×C43C2414yes—
183C22×C4×C43C2411yescharacteristic
184C22×C4×C43C2412yes—
185C22×C4×C43C2412yes—
186C22×C4×C43C2411yescharacteristic
187C22×Dic43—28no—
188C22×Dic43—24no—
189C22×Dic43—28no—
190C22×Dic43—28no—
191C22×Dic43—44no—
192C22×Dic43—42no—
193C22×Dic43—42no—
194C22×Dic43—41no—
195C22×Dic43—41no—
196C22×Dic43C22×C418yes—
197C22×Dic43C22×C414yes—
198C22×Dic43C22×C418yes—
199C22×Dic43C22×C414yes—
200C22×Dic43C2414yes—
201C22×Dic43C2412yes—
202C22×Dic43C2411yescharacteristic
203C22×Dic43C2412yes—
204C22×Dic43C2411yescharacteristic
205C22×Dic43C2411yescharacteristic
206C22×Dic43C2412yes—
207C22×Dic43C2412yes—
208C22×Dic43C2411yescharacteristic
209C4⋊C4×C43—24no—
210C22⋊C4×C43—24no—
211C22⋊C4×C43—28no—
212C22⋊C4×C43—42no—
213C42×C43—24no—
214C22⋊Dic43—24no—
215C22⋊Dic43—28no—
216C22⋊Dic43—42no—
217C22⋊Dic43C22×C418yes—
218C22⋊Dic43C22×C418yes—
219C22⋊Dic43C22×C418yes—
220C4⋊Dic43—24no—
221C4⋊Dic43C22×C414yes—
222C4⋊Dic43C22×C414yes—
223C4⋊Dic43C22×C418yes—
224C4⋊Dic43C22×C418yes—
225Dic43⋊C4—24no—
226Dic43⋊C4—24no—
227Dic43⋊C4—44no—
228Dic43⋊C4—44no—
229C4×Dic43—28no—
230C4×Dic43—24no—
231C4×Dic43—28no—
232C4×Dic43—28no—
233C4×Dic43—24no—
234C4×Dic43—42no—
235C4×Dic43—42no—
236C4×Dic43C22×C414yes—
237C4×Dic43C22×C418yes—
238C4×Dic43C22×C414yes—
239C4×Dic43C22×C414yes—
240C4×Dic43C22×C414yes—
241C4×Dic43C22×C418yes—
242C4×Dic43C22×C418yes—
243C4×Dic43#4118yescomplemented
244C23×C43—24no—
245C23×C43—22no—
246C23×C43—22no—
247C23×C43—22no—
248C23×C43—22no—
249C23×C43—21no—
250C23×C43—21no—
251C23×C43C23×C412yes—
252C23×C43C23×C414yes—
253C23×C43C2×#4118yes—
254C23×C43C2511yescharacteristic
255Q8×C43—28no—
256D4×C43—216no—
257D4×C43#117116yescomplemented
258C2×C4×C43—216no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—24no—
262C2×C4×C43—22no—
263C2×C4×C43—28no—
264C2×C4×C43—24no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—24no—
268C2×C4×C43—22no—
269C2×C4×C43—24no—
270C2×C4×C43—416no—
271C2×C4×C43C23×C412yes—
272C2×C4×C43C23×C414yes—
273C2×C4×C43C23×C412yes—
274C2×C4×C43C2×#4114yes—
275C2×C4×C43C2×#4114yes—
276C2×Dic43—24no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—216no—
287C2×Dic43—28no—
288C2×Dic43—24no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—24no—
292C2×Dic43—22no—
293C2×Dic43—24no—
294C2×Dic43—48no—
295C2×Dic43—44no—
296C2×Dic43—416no—
297C2×Dic43C23×C412yes—
298C2×Dic43C23×C412yes—
299C2×Dic43C23×C414yes—
300C2×Dic43C23×C412yes—
301C2×Dic43C23×C414yes—
302C2×Dic43C23×C412yes—
303C2×Dic43C2×#4114yes—
304C2×Dic43C2×#4114yes—
305#34123—431nomaximal, Sylow
306C22×C43—24no—
307C22×C43—24no—
308C22×C43—28no—
309C22×C43—28no—
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43C2×#11718yes—
316C22×C43C24×C411yescharacteristic
317C22×C43C22×#4112yes—
318C22×C43C22×#4112yes—
319C22×C43#58511yescharacteristic
320C22×C43#58511yescharacteristic
321C4×C43—22no—
322C4×C43—24no—
323C4×C43—24no—
324C4×C43—42no—
325C4×C43—44no—
326C4×C43C2×#11714yes—
327Dic43—24no—
328Dic43—22no—
329Dic43—22no—
330Dic43—22no—
331Dic43—24no—
332Dic43—24no—
333Dic43—42no—
334Dic43—44no—
335Dic43C4×#4114yes—
336C2×C4×#41—431no—
337#2356—432no—
338#2353—434no—
339#2349—432no—
340#2346—431no—
341#2346—431no—
342#2343—432no—
343#2343—432no—
344#2339—431no—
345#2339D4311yescharacteristic
346#2295—432no—
347#2290—434no—
348#2283—432no—
349#2283—431no—
350C42×D4—432no—
351C4×#117—431no—
352C2×#376—432no—
353C2×C43—28no—
354C2×C43—42no—
355C2×C43C22×#11711yescharacteristic
356C2×C43C2×C4×#4111yescharacteristic
357C2×C43#342811yescharacteristic
358C2×C43#347512yes—
359C2×C43#347512yes—
360C22×#41C2×D4311yescharacteristic
361C4×#41—4316no—
362C2×C4×Q8—431no—
363C2×C4×Q8—431no—
364C2×C4×D4—431no—
365C2×C4×D4—432no—
366C2×C4×D4—431no—
367C2×C4×D4—432no—
368C2×C4×D4—432no—
369C2×C4×D4C2×D4312yes—
370C2×#117—432no—
371C2×#117—431no—
372C2×#117—432no—
373C22×C42—432no—
374C22×C42—431no—
375C22×C42—434no—
376#391—432no—
377#391C2×D4312yes—
378#389—432no—
379#389—432no—
380#388—434no—
381#388—434no—
382#387—434no—
383#387—434no—
384#387—434no—
385#387—434no—
386#386—434no—
387#386C2×D4314yes—
388#385—434no—
389#385—434no—
390#383—432no—
391#383—434no—
392#382—432no—
393#382—432no—
394#382—432no—
395#381—432no—
396#381—432no—
397#381C2×D4312yes—
398#380—431no—
399#380—434no—
400#380C2×D4311yescharacteristic
401C4×C4⋊C4—432no—
402C4×C4⋊C4—432no—
403C4×C4⋊C4—432no—
404C4×C4⋊C4—432no—
405C4×C4⋊C4—431no—
406C4×C4⋊C4—431no—
407C4×C4⋊C4—434no—
408C4×C22⋊C4—431no—
409C4×C22⋊C4—434no—
410C4×C22⋊C4—434no—
411C4×C22⋊C4—432no—
412C4×C22⋊C4—434no—
413C4×C22⋊C4—432no—
414C4×C22⋊C4C2×D4311yescharacteristic
415#376—432no—
416#376—432no—
417#376—434no—
418#376—431no—
419#376—432no—
420#376—434no—
421#376—431no—
422C2×#95—432no—
423C2×#95—434no—
424C2×#95C2×D4312yes—
425C43—432no—
426C43#3412311yescharacteristic, complemented, Sylow
427C2×#41—28no—
428C2×#41C4×D4318yes—
429C22×Q8C22×D4311yescharacteristic
430C22×D4C22×D4312yes—
431C22×D4C22×D4311yescharacteristic
432C23×C4—431no—
433C23×C4—432no—
434C23×C4—432no—
435C23×C4—431no—
436C23×C4—434no—
437C23×C4C22×D4314yes—
438C23×C4C22×D4312yes—
439C23×C4C22×D4311yescharacteristic
440C4×Q8—438no—
441C4×Q8—438no—
442C4×D4—28no—
443C4×D4—438no—
444C4×D4—438no—
445C4×D4—4316no—
446C4×D4—4316no—
447C4×D4—868no—
448#117—4316no—
449#117—438no—
450#117—868no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—432no—
453C2×C4⋊C4—432no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—432no—
456C2×C4⋊C4—432no—
457C2×C4⋊C4—432no—
458C2×C4⋊C4—434no—
459C2×C4⋊C4—434no—
460C2×C4⋊C4C22×D4312yes—
461C2×C22⋊C4—432no—
462C2×C22⋊C4—432no—
463C2×C22⋊C4—432no—
464C2×C22⋊C4—432no—
465C2×C22⋊C4—434no—
466C2×C22⋊C4—432no—
467C2×C22⋊C4C22×D4312yes—
468C2×C22⋊C4C22×D4314yes—
469C2×C22⋊C4C22×D4312yes—
470C2×C42—4316no—
471C2×C42—438no—
472C2×C42—432no—
473C2×C42—431no—
474C2×C42—432no—
475C2×C42—431no—
476C2×C42—432no—
477C2×C42—432no—
478C2×C42—431no—
479C2×C42—431no—
480C2×C42—432no—
481C2×C42—432no—
482C2×C42—434no—
483C2×C42—434no—
484C2×C42—434no—
485C2×C42—432no—
486C2×C42—432no—
487C2×C42—8616no—
488C2×C42C22×D4312yes—
489#95—432no—
490#95—431no—
491#95—434no—
492#95—432no—
493#95—434no—
494#95—434no—
495#95—434no—
496#95—432no—
497#95—431no—
498#95—434no—
499#95—434no—
500#95—434no—
501#95—434no—
502#95—434no—
503#95C22×D4311yescharacteristic
504#95C22×D4312yes—
505#95C22×D4314yes—
506#95C22×D4311yescharacteristic
507#95C22×D4314yes—
508C24C23×D4311yescharacteristic
509C24C23×D4312yes—
510#41—232no—
511C2×Q8—24no—
512C2×Q8C2×C4×D4314yes—
513C2×D4—28no—
514C2×D4C2×C4×D4318yes—
515C2×D4C2×C4×D4314yes—
516C2×D4#1062190018yes—
517C22×C4—28no—
518C22×C4—24no—
519C22×C4—28no—
520C22×C4—28no—
521C22×C4—44no—
522C22×C4—431no—
523C22×C4—434no—
524C22×C4—438no—
525C22×C4—431no—
526C22×C4—432no—
527C22×C4—432no—
528C22×C4—431no—
529C22×C4—431no—
530C22×C4—432no—
531C22×C4—434no—
532C22×C4—438no—
533C22×C4—434no—
534C22×C4—432no—
535C22×C4—868no—
536C22×C4—864no—
537C22×C4—868no—
538C22×C4—868no—
539C22×C4—1721no—
540C22×C4—1722no—
541C22×C4—1721no—
542C22×C4—1724no—
543C22×C4—1722no—
544C22×C4C2×C4×D4318yes—
545C22×C4C2×C4×D4314yes—
546C22×C4C23×D4314yes—
547C22×C4C23×D4312yes—
548C22×C4C23×D4311yescharacteristic
549C22×C4C23×D4312yes—
550C22×C4C23×D4312yes—
551C22×C4C23×D4311yescharacteristic
552C4⋊C4—24no—
553C4⋊C4—438no—
554C4⋊C4—438no—
555C4⋊C4—434no—
556C4⋊C4—434no—
557C4⋊C4—864no—
558C4⋊C4—864no—
559C4⋊C4—864no—
560C4⋊C4—1724no—
561C4⋊C4—1724no—
562C22⋊C4—28no—
563C22⋊C4—24no—
564C22⋊C4—42no—
565C22⋊C4—438no—
566C22⋊C4—438no—
567C22⋊C4—438no—
568C22⋊C4—864no—
569C22⋊C4—868no—
570C22⋊C4—1722no—
571C42—24no—
572C42—434no—
573C42—438no—
574C42—434no—
575C42—438no—
576C42—434no—
577C42—438no—
578C42—434no—
579C42—438no—
580C42—868no—
581C42—868no—
582C42—864no—
583C42—868no—
584C42—864no—
585C42—1722no—
586C42—1722no—
587C23—24no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—21no—
593C23—21no—
594C23C22×C4×D4312yes—
595C23C22×C4×D4314yes—
596C23C2×#1062190018yes—
597C23C24×D4311yescharacteristic
598Q8—28no—
599D4—216no—
600D4#13063281116yescomplemented
601C2×C4—216no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—416no—
614C2×C4—432no—
615C2×C4—434no—
616C2×C4—432no—
617C2×C4—432no—
618C2×C4—434no—
619C2×C4—434no—
620C2×C4—432no—
621C2×C4—434no—
622C2×C4—8616no—
623C2×C4—868no—
624C2×C4—864no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—861no—
628C2×C4—862no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—862no—
632C2×C4—862no—
633C2×C4—861no—
634C2×C4—864no—
635C2×C4—862no—
636C2×C4—862no—
637C2×C4—864no—
638C2×C4—862no—
639C2×C4—864no—
640C2×C4—1728no—
641C2×C4—1724no—
642C2×C4—17216no—
643C2×C4C22×C4×D4312yes—
644C2×C4C22×C4×D4314yes—
645C2×C4C22×C4×D4312yes—
646C2×C4#41×D4314yes—
647C2×C4C2×#1062190014yes—
648C22—24no—
649C22—28no—
650C22—28no—
651C22—24no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—42no—
656C22—42no—
657C22C2×#1306328118yes—
658C22C23×C4×D4311yescharacteristic
659C22C2×#41×D4312yes—
660C22C22×#1062190012yes—
661C22#1458373411yescharacteristic
662C22#1458373611yescharacteristic
663C4—24no—
664C4—22no—
665C4—24no—
666C4—44no—
667C4—42no—
668C4—434no—
669C4—862no—
670C4—862no—
671C4—864no—
672C4—864no—
673C4—864no—
674C4—862no—
675C4—1722no—
676C4—1724no—
677C4C2×#1306328114yes—
678C2—28no—
679C2—42no—
680C2C22×#1306328111yescharacteristic
681C2C4×#41×D4311yescharacteristic
682C2#1914779511yescharacteristic
683C2#1914814612yes—
684C2#1914815812yes—
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2339C2
socle, cosocleC23×C43C25
prime radicalC22×#41×C43C22
hypercenter#2339D43
hypocenterC43#34123
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #19137559C2semidirect
3. #19137533C2semidirect
4. #19137500C2semidirect
5. #19137482C2semidirect
6. #19137478C2semidirect
7. #19137457C2semidirect
8. #19137451C2semidirect
10. #19137070C2semidirect
11. #19137035C2semidirect
12. #19136990C2semidirect
13. #19136986C2semidirect
14. C4×D4×Dic43C2semidirect
15. C4×#13063281C2semidirect
16. C2×#14582744C2semidirect
18. #41×Dic43C4semidirect
89. Q8×Dic43C2×C4semidirect
90. Q8×Dic43C2×C4semidirect
94. D4×Dic43C2×C4semidirect
95. D4×Dic43C2×C4semidirect
96. #13063284C2×C4semidirect
97. #13063284C2×C4semidirect
115. C2×C4×Dic43C2×C4semidirect
116. C2×C4×Dic43C2×C4semidirect
243. C4×Dic43#41semidirect
257. D4×C43#117semidirect
426. C43#34123semidirect
600. D4#13063281semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic432
#191375592
#191375332
#191375002
#191374822
#191374782
#191374572
#191374512
#191374252
#191370702
#191370352
#191369902
#191369862
C4×D4×Dic432
C4×#130632812
C2×#145827442
C43×#23392
#3412343