Finite Group Databasebeta

← #25256254

Subgroups — #25256254

Order 11008.

2322 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583452C211yesmaximal, characteristic
2#19137693C212yesmaximal, complemented
3#19137687C212yesmaximal, complemented
4#19137682C212yesmaximal, complemented
5#19137673C214yesmaximal
6#19137654C212yesmaximal, complemented
7#19137601C214yesmaximal
8#19137079C211yesmaximal, characteristic
9#19137078C211yesmaximal, characteristic
10#19137072C212yesmaximal, complemented
11#19137067C212yesmaximal, complemented
12#19137067C212yesmaximal, complemented
13C42×Dic86C212yesmaximal, complemented
14#117×Dic43C211yesmaximal, characteristic
15#117×Dic43C211yesmaximal, characteristic
16C2×C4×Dic43⋊C4C211yesmaximal, characteristic
17C4×#117×C43C211yesmaximal, characteristic
18#14583452C4116yescomplemented
19C2×#13063324C2211yescharacteristic
20C2×#13063324C2211yescharacteristic
21C2×#13063316C2211yescharacteristic
22C2×#13063316C2211yescharacteristic
23C2×#13063302C2212yes—
24C2×#13063302C2212yes—
25C2×C4×Dic86C2214yes—
26C2×C4×Dic86C2212yes—
27C2×C4×Dic86C2212yes—
28C2×#13063284C2211yescharacteristic
29C2×#13063284C2211yescharacteristic
30C22×Dic43⋊C4C2212yes—
31C22×C4×Dic43C2211yescharacteristic
32C22×C4×Dic43C2211yescharacteristic
33#14582805C2214yes—
34#14582803C2214yes—
35#14582803C2214yes—
36#14582798C2212yes—
37#14582798C2212yes—
38#14582797C2214yes—
39#14582797C2212yes—
40#14582797C2212yes—
41#14582796C2214yes—
42#14582796C2214yes—
43#14582786C2214yes—
44#14582786C2214yes—
45#14582783C2214yes—
46#14582783C2214yes—
47#14582782C2214yes—
48#14582782C2214yes—
49#14582774C2214yes—
50#14582772C2214yes—
51C4⋊C4×Dic43C2212yes—
52C4⋊C4×Dic43C2212yes—
53C4⋊C4×Dic43C2212yes—
54C4⋊C4×Dic43C2212yes—
55C4×Dic43⋊C4C2212yes—
56C4×Dic43⋊C4C2211yescharacteristic
57C4×Dic43⋊C4C2211yescharacteristic
58C4×Dic43⋊C4C2211yescharacteristic
59C4×Dic43⋊C4C2212yes—
60C4×Dic43⋊C4C2214yes—
61C4×Dic43⋊C4C2212yes—
62C4×Dic43⋊C4C2214yes—
63C4×Dic43⋊C4C2212yes—
64C4×Dic43⋊C4C2211yescharacteristic
65C4×C4⋊Dic43C2212yes—
66C4×C4⋊Dic43C2212yes—
67C4×C4⋊Dic43C2214yes—
68C22⋊C4×Dic43C2212yes—
69C22⋊C4×Dic43C2214yes—
70C22⋊C4×Dic43C2212yes—
71#14582745C2212yes—
72#14582745C2212yes—
73C2×C43⋊#95C2212yes—
74C42×Dic43C2212yes—
75C42×Dic43C2212yes—
76C2×#117×C43C2211yescharacteristic
77C2×#117×C43C2211yescharacteristic
78C22×C42×C43C2211yescharacteristic
79C4×C4⋊C4×C43C2212yes—
80C4×C4⋊C4×C43C2212yes—
81C4×C22⋊C4×C43C2214yes—
82C43×#376C2212yes—
83C43×C43C2212yes—
84C22×Dic86C2312yes—
85C22×Dic86C2312yes—
86C23×Dic43C2312yes—
87C23×Dic43C2311yescharacteristic
88C23×Dic43C2311yescharacteristic
89#13063324C2×C418yescomplemented
90#13063324C2×C418yescomplemented
91#13063316C2×C418yescomplemented
92#13063316C2×C418yescomplemented
93#13063302C2×C4116yes—
94#13063302C2×C4116yes—
95C4×Dic86—216no—
96C4×Dic86C2×C4116yescomplemented
97C4×Dic86C2×C4116yescomplemented
98#13063284—24no—
99#13063284C2×C418yes—
100C2×C4⋊Dic43C2314yes—
101C2×C4⋊Dic43C2312yes—
102C2×C4⋊Dic43C2314yes—
103C2×C4⋊Dic43C2311yescharacteristic
104C2×C4⋊Dic43C2311yescharacteristic
105C2×C4⋊Dic43C2312yes—
106C2×C4⋊Dic43C2312yes—
107C2×Dic43⋊C4—28no—
108C2×Dic43⋊C4C2312yes—
109C2×Dic43⋊C4C2312yes—
110C2×Dic43⋊C4C2312yes—
111C2×Dic43⋊C4C2314yes—
112C2×Dic43⋊C4C2314yes—
113C2×Dic43⋊C4C2312yes—
114C2×Dic43⋊C4C2312yes—
115C2×Dic43⋊C4C2312yes—
116C2×Dic43⋊C4C2312yes—
117C2×Dic43⋊C4C2312yes—
118C2×C22⋊Dic43C2312yes—
119C2×C22⋊Dic43C2312yes—
120C2×C4×Dic43—24no—
121C2×C4×Dic43C2×C418yes—
122C2×C4×Dic43C2314yes—
123C2×C4×Dic43C2314yes—
124C2×C4×Dic43C2312yes—
125C2×C4×Dic43C2311yescharacteristic
126C2×C4×Dic43C2311yescharacteristic
127C2×C4×Dic43C2312yes—
128C2×C4×Dic43C2314yes—
129C2×C4×Dic43C2314yes—
130C2×C4×Dic43C2311yescharacteristic
131C2×C4×Dic43C2311yescharacteristic
132C2×C4×Dic43C2311yescharacteristic
133C2×C4×Dic43C2311yescharacteristic
134C2×C4×Dic43C2312yes—
135C43⋊#95C2314yes—
136C43⋊#95C2312yes—
137C43⋊#95C2312yes—
138C43⋊#95C2314yes—
139C43⋊#95C2314yes—
140C43⋊#95C2314yes—
141C43⋊#95C2314yes—
142C43⋊#95C2314yes—
143C43⋊#95C2314yes—
144C43⋊#95C2314yes—
145C43⋊#95C2312yes—
146C43⋊#95C2312yes—
147C23×C4×C43C2312yes—
148C23×C4×C43C2311yescharacteristic
149#117×C43C2×C418yes—
150#117×C43Q818yescomplemented
151C2×C4⋊C4×C43C2311yescharacteristic
152C2×C4⋊C4×C43C2311yescharacteristic
153C2×C4⋊C4×C43C2312yes—
154C2×C22⋊C4×C43C2312yes—
155C2×C22⋊C4×C43C2312yes—
156C2×C42×C43—24no—
157C2×C42×C43C2312yes—
158C2×C42×C43C2311yescharacteristic
159C2×C42×C43C2311yescharacteristic
160C2×C42×C43C2314yes—
161C2×C42×C43C2314yes—
162C2×C42×C43C2312yes—
163C2×C42×C43C2312yes—
164#95×C43C2314yes—
165#95×C43C2314yes—
166C24×C43C2411yescharacteristic
167C22×C4×C43—24no—
168C22×C4×C43—24no—
169C22×C4×C43—42no—
170C22×C4×C43C22×C414yes—
171C22×C4×C43C2×Q814yes—
172C22×C4×C43#4114yes—
173C22×C4×C43C2412yes—
174C22×C4×C43C2412yes—
175C22×C4×C43C2412yes—
176C22×C4×C43C2414yes—
177C22×C4×C43C2412yes—
178C22×C4×C43C2411yescharacteristic
179C22×C4×C43C2411yescharacteristic
180C22×Dic43—24no—
181C22×Dic43—24no—
182C22×Dic43—24no—
183C22×Dic43—42no—
184C22×Dic43—42no—
185C22×Dic43C22×C414yes—
186C22×Dic43C22×C414yes—
187C22×Dic43C2412yes—
188C22×Dic43C2414yes—
189C22×Dic43C2411yescharacteristic
190C22×Dic43C2411yescharacteristic
191C22×Dic43C2412yes—
192C22×Dic43C2412yes—
193C22×Dic43C2411yescharacteristic
194C22×Dic43C2412yes—
195C22×Dic43C2411yescharacteristic
196C2×Dic86—28no—
197C2×Dic86—44no—
198C2×Dic86C22×C418yes—
199C2×Dic86C22×C418yes—
200C4⋊C4×C43C22×C414yes—
201C4⋊C4×C43C22×C414yes—
202C4⋊C4×C43C2×Q818yes—
203C22⋊C4×C43C22×C418yes—
204C22⋊C4×C43C2×Q818yes—
205C42×C43—22no—
206C42×C43—24no—
207C42×C43—22no—
208C42×C43—28no—
209C42×C43—44no—
210C42×C43C22×C418yes—
211C42×C43C2×Q818yes—
212C22⋊Dic43—24no—
213C22⋊Dic43C22×C418yes—
214C4⋊Dic43—24no—
215C4⋊Dic43—28no—
216C4⋊Dic43—44no—
217C4⋊Dic43C22×C414yes—
218C4⋊Dic43C22×C414yes—
219C4⋊Dic43C22×C418yes—
220C4⋊Dic43C22×C418yes—
221Dic43⋊C4—24no—
222Dic43⋊C4—28no—
223Dic43⋊C4—24no—
224Dic43⋊C4—24no—
225Dic43⋊C4—44no—
226Dic43⋊C4C22×C418yes—
227Dic43⋊C4C22×C418yes—
228Dic43⋊C4C22×C418yes—
229Dic43⋊C4C22×C418yes—
230Dic43⋊C4#4118yes—
231C4×Dic43—22no—
232C4×Dic43—24no—
233C4×Dic43—22no—
234C4×Dic43—24no—
235C4×Dic43—28no—
236C4×Dic43—28no—
237C4×Dic43—44no—
238C4×Dic43—44no—
239C4×Dic43C22×C414yes—
240C4×Dic43C22×C414yes—
241C4×Dic43C22×C414yes—
242C4×Dic43C22×C414yes—
243C4×Dic43C22×C418yes—
244C23×C43—22no—
245C23×C43—22no—
246C23×C43C23×C412yes—
247C23×C43C22×Q812yes—
248C23×C43C2×#4112yes—
249C23×C43C2511yescharacteristic
250C2×C4×C43—24no—
251C2×C4×C43—24no—
252C2×C4×C43—22no—
253C2×C4×C43—24no—
254C2×C4×C43—24no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—48no—
260C2×C4×C43C4×Q8116yescomplemented
261C2×C4×C43C23×C414yes—
262C2×C4×C43C23×C414yes—
263C2×C4×C43C23×C412yes—
264C2×C4×C43C23×C412yes—
265C2×C4×C43C22×Q818yes—
266C2×C4×C43C22×Q812yes—
267C2×C4×C43C22×Q812yes—
268C2×C4×C43C2×#4114yes—
269C2×C4×C43C2×#4112yes—
270C2×C4×C43C2×#4112yes—
271C2×Dic43—22no—
272C2×Dic43—24no—
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—24no—
277C2×Dic43—22no—
278C2×Dic43—28no—
279C2×Dic43—22no—
280C2×Dic43—24no—
281C2×Dic43—24no—
282C2×Dic43—22no—
283C2×Dic43—24no—
284C2×Dic43—22no—
285C2×Dic43—44no—
286C2×Dic43—48no—
287C2×Dic43C23×C412yes—
288C2×Dic43C23×C412yes—
289C2×Dic43C23×C412yes—
290C2×Dic43C23×C414yes—
291C2×Dic43C23×C414yes—
292C2×Dic43C23×C412yes—
293C2×Dic43C2×#4114yes—
294C2×Dic43C2×#4114yes—
295Dic86—216no—
296Dic86—48no—
297#34145—431nomaximal, Sylow
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—24no—
301C22×C43—24no—
302C22×C43C2×C4×Q814yes—
303C22×C43C24×C411yescharacteristic
304C22×C43C23×Q811yescharacteristic
305C22×C43C22×#4112yes—
306C22×C43C22×#4111yescharacteristic
307C22×C43#58512yes—
308C4×C43—24no—
309C4×C43—24no—
310C4×C43—24no—
311C4×C43—28no—
312C4×C43—42no—
313C4×C43C2×C4×Q814yes—
314C4×C43C2×C4×Q814yes—
315Dic43—24no—
316Dic43—22no—
317Dic43—22no—
318Dic43—24no—
319Dic43—22no—
320Dic43—24no—
321Dic43—44no—
322Dic43—42no—
323Dic43C4×#4114yes—
324C2×#533—431no—
325#2370—432no—
326#2370—432no—
327#2369—432no—
328#2368—434no—
329#2365—432no—
330#2360—434no—
331#2296—431no—
332#2296—431no—
333#2295—432no—
334#2295—432no—
335#2295—432no—
336C42×Q8—432no—
337C4×#117—431no—
338C4×#117—431no—
339C4×#117D4311yescharacteristic
340C2×C4×C4⋊C4—431no—
341C2×C43—24no—
342C2×C43C22×C4×Q811yescharacteristic
343C2×C43C2×C4×#4111yescharacteristic
344C2×C43#342811yescharacteristic
345C2×C43#347512yes—
346C2×C43Q8×#4112yes—
347#533—4316no—
348C2×C4⋊Q8—431no—
349C2×C4⋊Q8—431no—
350C2×#125—431no—
351C2×#125—431no—
352C2×C22⋊Q8—432no—
353C2×C22⋊Q8—432no—
354C2×C4×Q8—432no—
355C2×C4×Q8—432no—
356C2×C4×Q8—434no—
357C2×#117—431no—
358C2×#117—431no—
359C2×#117C2×D4311yescharacteristic
360C2×#117C2×D4311yescharacteristic
361C22×C4⋊C4—432no—
362C22×C42—431no—
363C22×C42—431no—
364C22×C42C2×D4311yescharacteristic
365#391—434no—
366#391—434no—
367#391—434no—
368#389—432no—
369#389—432no—
370#389—434no—
371#389—432no—
372#389—432no—
373#389—434no—
374#389—434no—
375#387—434no—
376#387—434no—
377#387—434no—
378#387—434no—
379#387—434no—
380#387—434no—
381#385—434no—
382#385—434no—
383C4×C4⋊C4—432no—
384C4×C4⋊C4—432no—
385C4×C4⋊C4—432no—
386C4×C4⋊C4—432no—
387C4×C4⋊C4—434no—
388C4×C4⋊C4—432no—
389C4×C4⋊C4—434no—
390C4×C4⋊C4—434no—
391C4×C4⋊C4—432no—
392C4×C4⋊C4—431no—
393C4×C4⋊C4—431no—
394C4×C4⋊C4—431no—
395C4×C4⋊C4—431no—
396C4×C4⋊C4—432no—
397C4×C4⋊C4—432no—
398C4×C4⋊C4—432no—
399C4×C4⋊C4—432no—
400C4×C4⋊C4C2×D4312yes—
401C4×C4⋊C4C2×D4312yes—
402C4×C22⋊C4—432no—
403C4×C22⋊C4—434no—
404C4×C22⋊C4—432no—
405C4×C22⋊C4C2×D4314yes—
406#376—432no—
407#376—432no—
408#376C2×D4312yes—
409C2×#95—432no—
410C43—432no—
411C43—432no—
412C43C2×D4312yes—
413C43#3414511yescharacteristic, complemented, Sylow
414C22×Q8—432no—
415C22×Q8—432no—
416C23×C4—431no—
417C23×C4—431no—
418C23×C4—432no—
419C23×C4C22×D4312yes—
420C23×C4C22×D4311yescharacteristic
421C4⋊Q8—438no—
422C4⋊Q8—438no—
423#125—438no—
424#125—438no—
425C22⋊Q8—4316no—
426C22⋊Q8—4316no—
427C4×Q8—4316no—
428C4×Q8—4316no—
429C4×Q8—8616no—
430#117—438no—
431#117—864no—
432#117Dic8618yescomplemented
433#117C4×D4318yes—
434C2×C4⋊C4—432no—
435C2×C4⋊C4—431no—
436C2×C4⋊C4—431no—
437C2×C4⋊C4—432no—
438C2×C4⋊C4—432no—
439C2×C4⋊C4—432no—
440C2×C4⋊C4—432no—
441C2×C4⋊C4—432no—
442C2×C4⋊C4—432no—
443C2×C4⋊C4—432no—
444C2×C4⋊C4—432no—
445C2×C4⋊C4—432no—
446C2×C4⋊C4—432no—
447C2×C4⋊C4—434no—
448C2×C4⋊C4—434no—
449C2×C4⋊C4—434no—
450C2×C4⋊C4—434no—
451C2×C4⋊C4—868no—
452C2×C4⋊C4C22×D4312yes—
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C22⋊C4—432no—
456C2×C22⋊C4—432no—
457C2×C22⋊C4C22×D4312yes—
458C2×C22⋊C4C22×D4312yes—
459C2×C42—24no—
460C2×C42—438no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—432no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—434no—
467C2×C42—434no—
468C2×C42—432no—
469C2×C42—432no—
470C2×C42—431no—
471C2×C42—431no—
472C2×C42—434no—
473C2×C42—434no—
474C2×C42—864no—
475C2×C42C22×D4314yes—
476C2×C42C22×D4312yes—
477C2×C42C22×D4311yescharacteristic
478C2×C42C22×D4311yescharacteristic
479C2×C42C22×D4314yes—
480C2×C42C22×D4312yes—
481C2×C42C22×D4312yes—
482#95—432no—
483#95—432no—
484#95—432no—
485#95—432no—
486#95—434no—
487#95—434no—
488#95—434no—
489#95—434no—
490#95—434no—
491#95—434no—
492#95—434no—
493#95—434no—
494#95C22×D4314yes—
495#95C22×D4314yes—
496C24C23×D4311yescharacteristic
497C2×Q8—438no—
498C2×Q8—438no—
499C2×Q8—868no—
500C2×Q8—1724no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—42no—
504C22×C4—431no—
505C22×C4—434no—
506C22×C4—431no—
507C22×C4—431no—
508C22×C4—432no—
509C22×C4—432no—
510C22×C4—432no—
511C22×C4—431no—
512C22×C4—434no—
513C22×C4—432no—
514C22×C4—434no—
515C22×C4—864no—
516C22×C4—864no—
517C22×C4—864no—
518C22×C4—1722no—
519C22×C4—1722no—
520C22×C4C2×Dic8614yes—
521C22×C4C2×C4×D4314yes—
522C22×C4#1062189814yes—
523C22×C4C23×D4312yes—
524C22×C4C23×D4312yes—
525C22×C4C23×D4312yes—
526C22×C4C23×D4314yes—
527C22×C4C23×D4312yes—
528C22×C4C23×D4311yescharacteristic
529C22×C4C23×D4311yescharacteristic
530C4⋊C4—434no—
531C4⋊C4—434no—
532C4⋊C4—438no—
533C4⋊C4—438no—
534C4⋊C4—438no—
535C4⋊C4—438no—
536C4⋊C4—438no—
537C4⋊C4—438no—
538C4⋊C4—438no—
539C4⋊C4—864no—
540C4⋊C4—864no—
541C4⋊C4—868no—
542C4⋊C4—864no—
543C4⋊C4—868no—
544C4⋊C4—864no—
545C4⋊C4—1724no—
546C4⋊C4—1724no—
547C4⋊C4C2×Dic8618yes—
548C4⋊C4C2×C4×D4314yes—
549C4⋊C4C2×C4×D4314yes—
550C22⋊C4—438no—
551C22⋊C4—864no—
552C22⋊C4C2×Dic8618yes—
553C22⋊C4C2×C4×D4318yes—
554C42—28no—
555C42—22no—
556C42—24no—
557C42—22no—
558C42—44no—
559C42—434no—
560C42—434no—
561C42—434no—
562C42—434no—
563C42—438no—
564C42—868no—
565C42—868no—
566C42—862no—
567C42—864no—
568C42—862no—
569C42—864no—
570C42—1724no—
571C42—1724no—
572C42C2×Dic8618yes—
573C42C2×C4×D4318yes—
574C23—22no—
575C23—22no—
576C23C22×C4×D4312yes—
577C23C22×Dic8612yes—
578C23C2×#1062189812yes—
579C23C24×D4311yescharacteristic
580Q8—8616no—
581Q8—1728no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—48no—
592C2×C4—432no—
593C2×C4—434no—
594C2×C4—432no—
595C2×C4—432no—
596C2×C4—432no—
597C2×C4—434no—
598C2×C4—434no—
599C2×C4—434no—
600C2×C4—868no—
601C2×C4—864no—
602C2×C4—862no—
603C2×C4—862no—
604C2×C4—862no—
605C2×C4—862no—
606C2×C4—864no—
607C2×C4—862no—
608C2×C4—864no—
609C2×C4—862no—
610C2×C4—862no—
611C2×C4—864no—
612C2×C4—864no—
613C2×C4—862no—
614C2×C4—1724no—
615C2×C4—1728no—
616C2×C4C4×Dic86116yescomplemented
617C2×C4C22×C4×D4314yes—
618C2×C4C22×C4×D4314yes—
619C2×C4C22×C4×D4312yes—
620C2×C4C22×C4×D4312yes—
621C2×C4C22×Dic8618yes—
622C2×C4C22×Dic8612yes—
623C2×C4C22×Dic8612yes—
624C2×C4#41×D4314yes—
625C2×C4C2×#1062189812yes—
626C2×C4C2×#1062189812yes—
627C22—22no—
628C22—24no—
629C22—24no—
630C22—22no—
631C22C2×C4×Dic8614yes—
632C22C23×C4×D4311yescharacteristic
633C22C23×Dic8611yescharacteristic
634C22C2×#41×D4312yes—
635C22C22×#1062189811yescharacteristic
636C22#1458373512yes—
637C4—24no—
638C4—24no—
639C4—28no—
640C4—24no—
641C4—42no—
642C4—434no—
643C4—862no—
644C4—862no—
645C4—864no—
646C4—864no—
647C4—862no—
648C4—864no—
649C4—1722no—
650C4—1724no—
651C4C2×C4×Dic8614yes—
652C4C2×C4×Dic8614yes—
653C2—24no—
654C2C22×C4×Dic8611yescharacteristic
655C2C4×#41×D4311yescharacteristic
656C2#1914779411yescharacteristic
657C2#1914814912yes—
658C2#41×Dic8612yes—
subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC4×#117×C43C2
socle, cosocleC23×C43C25
prime radicalC24×C43C24
hypercenterC4×#117D43
hypocenterC43#34145
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C4×#117

Complements

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

NH ≅ G/Ntype
2. #19137693C2semidirect
3. #19137687C2semidirect
4. #19137682C2semidirect
6. #19137654C2semidirect
10. #19137072C2semidirect
11. #19137067C2semidirect
12. #19137067C2semidirect
13. C42×Dic86C2semidirect
18. #14583452C4semidirect
89. #13063324C2×C4semidirect
90. #13063324C2×C4semidirect
91. #13063316C2×C4semidirect
92. #13063316C2×C4semidirect
96. C4×Dic86C2×C4semidirect
97. C4×Dic86C2×C4semidirect
150. #117×C43Q8semidirect
260. C2×C4×C43C4×Q8semidirect
413. C43#34145semidirect
432. #117Dic86semidirect
616. C2×C4C4×Dic86semidirect

Maximal subgroups

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

subgroupindex
C2×#145834522
#191376932
#191376872
#191376822
#191376732
#191376542
#191376012
#191370792
#191370782
#191370722
#191370672
C42×Dic862
#117×Dic432
C2×C4×Dic43⋊C42
C4×#117×C432
#3414543