Finite Group Databasebeta

← #25133198

Subgroups — #25133198

Order 11008.

1064 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583196C211yesmaximal, characteristic
2C2×#14582997C211yesmaximal, characteristic
3#19139513C211yesmaximal, characteristic
4#19135930C211yesmaximal, characteristic, complemented
5#19135920C211yesmaximal, characteristic, complemented
6#19135738C211yesmaximal, characteristic
7#19135728C211yesmaximal, characteristic
8#19135565C211yesmaximal, characteristic, complemented
9#19135536C211yesmaximal, characteristic, complemented
10#19134950C211yesmaximal, characteristic
11#19134950C211yesmaximal, characteristic
12#19134863C211yesmaximal, characteristic, complemented
13#19134849C211yesmaximal, characteristic, complemented
14#19134600C211yesmaximal, characteristic, complemented
15C2×C43×#557C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C2×#13063301—21no—
18C2×C4×D172C2211yescharacteristic
19#14583196—24no—
20#14582997—24no—
21C2×#13063258C2211yescharacteristic
22C2×#13063258C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×C4⋊(C43⋊C8)C2211yescharacteristic
25C2×#13063249C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×#13063236C2211yescharacteristic
32#14582821—21no—
33#14582821—21no—
34#14582801C2211yescharacteristic
35#14582801C2211yescharacteristic
36#14582797C2211yescharacteristic
37#14582797C2211yescharacteristic
38#14582769C2211yescharacteristic
39#14582756—21no—
40#14582661C2211yescharacteristic
41#14582661C2211yescharacteristic
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582654C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C43×#557—24no—
51C43×#557—24no—
52C2×C4⋊Q8×C43—21no—
53C2×C4⋊Q8×C43C2211yescharacteristic
54C2×#125×C43—21no—
55C2×#125×C43—21no—
56C2×#125×C43C2211yescharacteristic
57C2×#125×C43C2211yescharacteristic
58C2×C4×Q8×C43—21no—
59C2×C4×Q8×C43C2211yescharacteristic
60C2×C4×Q8×C43C2211yescharacteristic
61C2×C4×Q8×C43C2211yescharacteristic
62C2×C4×Q8×C43C2211yescharacteristic
63C22×D172C2311yescharacteristic
64C22×C4×D43—21no—
65C2×#10621884—22no—
66C2×#10621884—22no—
67C2×#10621884Q814yescomplemented
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063301—44no—
73C4×D172—22no—
74C4×D172—22no—
75C2×C4⋊Dic43—21no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×(C2×D43)⋊C4—21no—
83C2×(C2×D43)⋊C4—21no—
84C2×(C2×D43)⋊C4—21no—
85C2×(C2×D43)⋊C4—21no—
86C2×(C2×D43)⋊C4—21no—
87#13063258—22no—
88#13063258—22no—
89#13063256—22no—
90C4⋊(C43⋊C8)—22no—
91#13063249—22no—
92#13063249—22no—
93#13063249—22no—
94#13063245—22no—
95#13063245—22no—
96#13063245—22no—
97#13063236—22no—
98C43⋊#95—21no—
99C43⋊#95—21no—
100C22×Q8×C43—21no—
101C22×Q8×C43D411yescharacteristic
102C22×Q8×C43C2311yescharacteristic
103C4⋊Q8×C43—28no—
104C4⋊Q8×C43—22no—
105C4⋊Q8×C43—22no—
106#125×C43—28no—
107#125×C43—28no—
108#125×C43—22no—
109#125×C43—22no—
110#125×C43—22no—
111#125×C43D414yes—
112C4×Q8×C43—28no—
113C4×Q8×C43—22no—
114C4×Q8×C43—22no—
115C4×Q8×C43—22no—
116C4×Q8×C43—22no—
117C4×Q8×C43—22no—
118C4×Q8×C43—22no—
119C4×Q8×C43—22no—
120C4×Q8×C43D414yes—
121C2×C4⋊C4×C43—21no—
122C2×C4⋊C4×C43—21no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43—21no—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43—21no—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43D411yescharacteristic
130C2×C4⋊C4×C43D411yescharacteristic
131C2×C4⋊C4×C43D411yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C4⋊C4×C43C2311yescharacteristic
134C2×C4⋊C4×C43C2311yescharacteristic
135C2×C42×C43—21no—
136C2×C42×C43—21no—
137C2×C42×C43—21no—
138C2×C42×C43C2311yescharacteristic
139C2×C42×C43C2311yescharacteristic
140C2×C42×C43C2311yescharacteristic
141C23×D43—21no—
142C2×Q8×C43—24no—
143C2×Q8×C43—22no—
144C2×Q8×C43—22no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—41no—
149C2×Q8×C43—42no—
150C2×Q8×C43—42no—
151C2×Q8×C43C2×D412yes—
152C2×Q8×C43C2×Q812yes—
153C2×Q8×C43#4112yes—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2×D411yescharacteristic
160C22×C4×C43C2×D411yescharacteristic
161C22×C4×C43C2×D411yescharacteristic
162C22×C4×C43C2×D411yescharacteristic
163C22×C4×C43C2×D411yescharacteristic
164C22×C4×C43C2411yescharacteristic
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172C2×Q812yes—
174C2×C4×D43—42no—
175C2×C4×D43—42no—
176C2×C4×D43—42no—
177C4⋊C4×C43—24no—
178C4⋊C4×C43—24no—
179C4⋊C4×C43—24no—
180C4⋊C4×C43—24no—
181C4⋊C4×C43—24no—
182C4⋊C4×C43—24no—
183C4⋊C4×C43—24no—
184C4⋊C4×C43—24no—
185C4⋊C4×C43—22no—
186C4⋊C4×C43—22no—
187C4⋊C4×C43—22no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43C2×D412yes—
192C4⋊C4×C43C2×D412yes—
193C4⋊C4×C43C2×D412yes—
194C42×C43—24no—
195C42×C43—24no—
196C42×C43—24no—
197C42×C43—21no—
198C42×C43—21no—
199C42×C43—21no—
200C42×C43—21no—
201C42×C43C2×D412yes—
202C42×C43C2×D412yes—
203#10621884—28no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—81no—
208(C2×D43)⋊C4—81no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—42no—
216C4⋊Dic43—81no—
217Dic43⋊C4—42no—
218Dic43⋊C4—42no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8C2×Q812yes—
231C23×C43C22×D411yescharacteristic
232C22×D43—22no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239Q8×C43—22no—
240Q8×C43—22no—
241Q8×C43—22no—
242Q8×C43—44no—
243Q8×C43—48no—
244Q8×C43C22⋊Q814yescomplemented
245C2×C4×C43—22no—
246C2×C4×C43—21no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43#12012yes—
273C2×C4×C43#12012yes—
274C2×C4×C43AGL(1,ℤ/8)12yes—
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43C22×Q811yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×C4×C432−1+411yescharacteristic
280C2×C4×C432−1+411yescharacteristic
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290D172—22no—
291D172—22no—
292D172—41no—
293D172—41no—
294C4×D43—84no—
295C43⋊C8—22no—
296C43⋊C8—41no—
297C43⋊C8—41no—
298C43⋊C8—41no—
299#24346—431nomaximal, Sylow
300C22×C43C2×#12011yescharacteristic
301C22×C43#54811yescharacteristic
302C22×C43D4×Q811yescharacteristic
303C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
304C22×C43#57511yescharacteristic
305C22×C43#57711yescharacteristic
306C22×C43#57811yescharacteristic
307C2×D43—42no—
308C2×D43—42no—
309C2×D43—42no—
310C2×D43—81no—
311C2×D43—81no—
312C2×D43—81no—
313C2×D43—81no—
314C4×C43—24no—
315C4×C43—22no—
316C4×C43—22no—
317C4×C43—22no—
318C4×C43—41no—
319C4×C43—42no—
320C4×C43—42no—
321C4×C43—41no—
322C4×C43—41no—
323C4×C43—42no—
324C4×C43C2×C22⋊Q811yescharacteristic
325C4×C43#53611yescharacteristic
326C4×C43#54811yescharacteristic
327C4×C43D4×Q811yescharacteristic
328Dic43—81no—
329Dic43—81no—
330Dic43—81no—
331C2×#557D4311yescharacteristic, complemented
332C2×#478—431no—
333C2×#440—431no—
334#2538—431no—
335#2059—431no—
336#2057—431no—
337#2025—431no—
338#2023—431no—
339#1992—431no—
340#1985—431no—
341#1880—431no—
342#1880—431no—
343#1865—431no—
344#1863—431no—
345#1803—431no—
346C2×C43#240911yescharacteristic
347C2×C43#300611yescharacteristic
348C2×C43#301311yescharacteristic
349C2×C43#336811yescharacteristic
350C2×C43#337711yescharacteristic
351C2×C43#338611yescharacteristic
352C2×C43#338811yescharacteristic
353D43—82no—
354C22×SD16—431no—
355#557—24no—
356#557—24no—
357C2×C4⋊Q8—21no—
358C2×C4⋊Q8C2×D4311yescharacteristic
359C2×#125—21no—
360C2×#125—21no—
361C2×#125C2×D4311yescharacteristic
362C2×#125C2×D4311yescharacteristic
363C2×C22⋊Q8—861no—
364C2×C4×Q8—21no—
365C2×C4×Q8C2×D4311yescharacteristic
366C2×C4×Q8C2×D4311yescharacteristic
367C2×C4×Q8C2×D4311yescharacteristic
368C2×C4×Q8C2×D4311yescharacteristic
369C2×C4×D4—431no—
370#478—864no—
371#440—864no—
372C2×#107—431no—
373C2×#107—431no—
374C2×#106—431no—
375C2×C4⋊C8—431no—
376C2×#103—431no—
377C2×#103—431no—
378C2×#103—431no—
379C2×#102—431no—
380C2×#102—431no—
381C2×#102—431no—
382C2×#97—431no—
383#396—861no—
384#396—861no—
385#390—431no—
386#390—431no—
387#389—431no—
388#389—431no—
389#384—431no—
390#380—861no—
391#340—431no—
392#340—431no—
393#340—431no—
394#340—431no—
395#340—431no—
396#340—431no—
397#336—431no—
398#336—431no—
399#336—431no—
400#336—431no—
401C43#2434611yescharacteristic, complemented, Sylow
402C22×Q8—21no—
403C22×Q8C22⋊D4311yescharacteristic
404C22×Q8C22×D4311yescharacteristic
405C22×D4—431no—
406C23×C4—861no—
407C2×SD16—434no—
408C2×SD16—862no—
409C2×SD16—862no—
410C22×C8—431no—
411C22×C8—431no—
412C22×C8—431no—
413C22×C8—431no—
414C4⋊Q8—28no—
415C4⋊Q8—22no—
416C4⋊Q8—22no—
417#125—28no—
418#125—28no—
419#125—22no—
420#125—22no—
421#125—22no—
422#125C22⋊D4314yes—
423C22⋊Q8—1724no—
424C4×Q8—28no—
425C4×Q8—22no—
426C4×Q8—22no—
427C4×Q8—22no—
428C4×Q8—22no—
429C4×Q8—22no—
430C4×Q8—22no—
431C4×Q8—22no—
432C4×Q8C22⋊D4314yes—
433C4×D4—862no—
434C4×D4—862no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—861no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4C22⋊D4311yescharacteristic
451C2×C4⋊C4C22⋊D4311yescharacteristic
452C2×C4⋊C4C22⋊D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C4⋊C4C22×D4311yescharacteristic
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C42—21no—
462C2×C42—21no—
463C2×C42—21no—
464C2×C42C22×D4311yescharacteristic
465C2×C42C22×D4311yescharacteristic
466C2×C42C22×D4311yescharacteristic
467#107—862no—
468#107—862no—
469#106—862no—
470C4⋊C8—862no—
471#103—862no—
472#103—862no—
473#103—862no—
474#102—862no—
475#102—862no—
476#102—862no—
477#97—862no—
478#95—861no—
479#95—861no—
480C24—861no—
481C2×Q8—24no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—41no—
488C2×Q8—42no—
489C2×Q8—42no—
490C2×Q8Q8×D4312yes—
491C2×Q8#1062190212yes—
492C2×Q8C2×C22⋊D4312yes—
493C2×D4—432no—
494C2×D4—861no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—861no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—861no—
504C22×C4—861no—
505C22×C4—861no—
506C22×C4—1722no—
507C22×C4—1722no—
508C22×C4—1722no—
509C22×C4C2×C22⋊D4311yescharacteristic
510C22×C4C2×C22⋊D4311yescharacteristic
511C22×C4C2×C22⋊D4311yescharacteristic
512C22×C4C2×C22⋊D4311yescharacteristic
513C22×C4C2×C22⋊D4311yescharacteristic
514C22×C4C2×C22⋊D4311yescharacteristic
515C22×C4C23×D4311yescharacteristic
516SD16—868no—
517C2×C8—432no—
518C2×C8—861no—
519C2×C8—861no—
520C2×C8—861no—
521C2×C8—861no—
522C2×C8—861no—
523C2×C8—861no—
524C2×C8—861no—
525C2×C8—861no—
526C2×C8—861no—
527C2×C8—861no—
528C2×C8—861no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—861no—
544C4⋊C4—861no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—861no—
548C4⋊C4—861no—
549C4⋊C4—3441no—
550C4⋊C4—1722no—
551C4⋊C4—1722no—
552C4⋊C4—1722no—
553C4⋊C4C2×C22⋊D4312yes—
554C4⋊C4C2×C22⋊D4312yes—
555C4⋊C4C2×C22⋊D4312yes—
556C22⋊C4—3441no—
557C22⋊C4—3441no—
558C22⋊C4—1722no—
559C22⋊C4—1722no—
560C22⋊C4—1722no—
561C42—24no—
562C42—24no—
563C42—24no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42C2×C22⋊D4312yes—
569C42C2×C22⋊D4312yes—
570C23—862no—
571C23—1721no—
572C23—1721no—
573C23—1721no—
574C23—1721no—
575C23—1721no—
576C23—1721no—
577C23C22×C22⋊D4311yescharacteristic
578Q8—22no—
579Q8—22no—
580Q8—22no—
581Q8—44no—
582Q8—48no—
583Q8#1306330114yescomplemented
584D4—862no—
585D4—862no—
586D4—1721no—
587D4—1721no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—3444no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4—1721no—
620C2×C4—1721no—
621C2×C4—1721no—
622C2×C4—1721no—
623C2×C4—1721no—
624C2×C4—1721no—
625C2×C4#1306329412yes—
626C2×C4#1306329412yes—
627C2×C4#1306335012yes—
628C2×C4C22×C22⋊D4311yescharacteristic
629C2×C4C22×C22⋊D4311yescharacteristic
630C2×C4C2×Q8×D4311yescharacteristic
631C2×C4C2×#1062190211yescharacteristic
632C2×C4#1306337311yescharacteristic
633C2×C4#1306337311yescharacteristic
634C8—862no—
635C8—1721no—
636C8—1721no—
637C8—1721no—
638C22—3441no—
639C22—3441no—
640C22—3441no—
641C22—3441no—
642C22—1722no—
643C22—1722no—
644C22—1722no—
645C22C2×#1306329411yescharacteristic
646C22#1458356011yescharacteristic
647C22Q8×C22⋊D4311yescharacteristic
648C22C2×#1306335011yescharacteristic
649C22#1458369711yescharacteristic
650C22#1458370711yescharacteristic
651C22#1458371411yescharacteristic
652C4—24no—
653C4—22no—
654C4—22no—
655C4—22no—
656C4—41no—
657C4—42no—
658C4—42no—
659C4—41no—
660C4—41no—
661C4—42no—
662C4—3441no—
663C4—3441no—
664C4—3441no—
665C4C2×#1306330111yescharacteristic
666C4#1458347311yescharacteristic
667C4#1458356011yescharacteristic
668C4Q8×C22⋊D4311yescharacteristic
669C2—3442no—
670C2#1913795411yescharacteristic
671C2#1914384711yescharacteristic
672C2#1914391011yescharacteristic
673C2#1914732411yescharacteristic
674C2#1914743711yescharacteristic
675C2#1914751211yescharacteristic
676C2#1914753411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#557C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#557D43
hypocenterC43#24346
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
4. #19135930C2semidirect
5. #19135920C2semidirect
8. #19135565C2semidirect
9. #19135536C2semidirect
12. #19134863C2semidirect
13. #19134849C2semidirect
14. #19134600C2semidirect
15. C2×C43×#557C2semidirect
67. C2×#10621884Q8semidirect
244. Q8×C43C22⋊Q8semidirect
331. C2×#557D43semidirect
401. C43#24346semidirect
583. Q8#13063301semidirect

Maximal subgroups

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

subgroupindex
C2×#145831962
C2×#145829972
#191395132
#191359302
#191359202
#191357382
#191357282
#191355652
#191355362
#191349502
#191348632
#191348492
#191346002
C2×C43×#5572
#2434643