Finite Group Databasebeta

← #25156649

Subgroups — #25156649

Order 11008.

918 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583099C211yesmaximal, characteristic
2C2×C4×#10621884C211yesmaximal, characteristic, complemented
3#19138360C211yesmaximal, characteristic
4#19136129C211yesmaximal, characteristic, complemented
5#19136097C211yesmaximal, characteristic, complemented
6#19135999C211yesmaximal, characteristic, complemented
7#19135829C211yesmaximal, characteristic
8#19135277C211yesmaximal, characteristic, complemented
9#19135154C211yesmaximal, characteristic, complemented
10#19134950C211yesmaximal, characteristic, complemented
11#19134950C211yesmaximal, characteristic, complemented
12#19134950C211yesmaximal, characteristic, complemented
13#19134863C211yesmaximal, characteristic, complemented
14#19134855C211yesmaximal, characteristic, complemented
15Q8×C4⋊C4×C43C211yesmaximal, characteristic, complemented
16C22×#10621884C2211yescharacteristic
17C22×#10621884C2211yescharacteristic
18C2×#13063322C2211yescharacteristic
19C2×#13063310—21no—
20C2×C4×D172C2211yescharacteristic
21#14583099—24no—
22C4×#10621884—24no—
23C2×#13063256C2211yescharacteristic
24C2×#13063256C2211yescharacteristic
25C2×C4⋊(C43⋊C8)C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063249C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×C4×C43⋊C8C2211yescharacteristic
35#14582817—21no—
36#14582816—21no—
37#14582801C2211yescharacteristic
38#14582801C2211yescharacteristic
39#14582801C2211yescharacteristic
40#14582797C2211yescharacteristic
41#14582777—21no—
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582654C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C2×C4×Q8×C43C2211yescharacteristic
51C2×C4×Q8×C43C2211yescharacteristic
52C2×C4×Q8×C43C2211yescharacteristic
53C43×#389—21no—
54C43×#389—21no—
55C43×#389C2211yescharacteristic
56C43×#389C2211yescharacteristic
57C43×#384—21no—
58C43×#384C2211yescharacteristic
59C4×C4⋊C4×C43—21no—
60C4×C4⋊C4×C43C2211yescharacteristic
61C22×D172—21no—
62C22×D172—21no—
63C22×D172C2311yescharacteristic
64C22×D172C2311yescharacteristic
65C22×C4×D43—21no—
66C2×#10621884—22no—
67C2×#10621884—22no—
68C2×#10621884—22no—
69C2×#10621884—22no—
70C2×#10621884—22no—
71C2×#10621884D414yes—
72C22×C43⋊C8C2311yescharacteristic
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76#13063322—22no—
77#13063322—41no—
78#13063310—44no—
79C4×D172—22no—
80C4×D172—41no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×Dic43⋊C4—21no—
84C2×(C2×D43)⋊C4—21no—
85C2×(C2×D43)⋊C4—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91#13063256—22no—
92#13063256—41no—
93C4⋊(C43⋊C8)—22no—
94#13063249—22no—
95#13063249—22no—
96#13063245—22no—
97#13063245—22no—
98#13063245—22no—
99#13063245—22no—
100#13063245—22no—
101#13063245—41no—
102C4×C43⋊C8—22no—
103C43⋊#95—21no—
104C22×Q8×C43C2311yescharacteristic
105C4×Q8×C43—22no—
106C4×Q8×C43—22no—
107C4×Q8×C43—22no—
108C4×Q8×C43—22no—
109C4×Q8×C43—41no—
110C4×Q8×C43—41no—
111C2×C4⋊C4×C43—21no—
112C2×C4⋊C4×C43—21no—
113C2×C4⋊C4×C43—21no—
114C2×C4⋊C4×C43—21no—
115C2×C4⋊C4×C43—21no—
116C2×C4⋊C4×C43—21no—
117C2×C4⋊C4×C43—21no—
118C2×C4⋊C4×C43D411yescharacteristic
119C2×C4⋊C4×C43D411yescharacteristic
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C4⋊C4×C43C2311yescharacteristic
122C2×C4⋊C4×C43C2311yescharacteristic
123C2×C42×C43—21no—
124C2×C42×C43—21no—
125C2×C42×C43—21no—
126C2×C42×C43C2311yescharacteristic
127C2×C42×C43C2311yescharacteristic
128C2×C42×C43C2311yescharacteristic
129#95×C43—21no—
130#95×C43—21no—
131#95×C43D411yescharacteristic
132#95×C43D411yescharacteristic
133C23×D43—21no—
134C23×D43—21no—
135C2×Q8×C43—21no—
136C2×Q8×C43—21no—
137C2×Q8×C43—21no—
138C2×Q8×C43C2×D412yes—
139C2×Q8×C43#4112yes—
140C2×Q8×C43#4112yes—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2411yescharacteristic
152C22×Dic43—21no—
153C22×Dic43—21no—
154C2×D172—21no—
155C2×D172—21no—
156C2×D172—21no—
157C2×D172—21no—
158C2×D172—21no—
159C2×D172—21no—
160C2×D172—21no—
161C2×D172—21no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—42no—
166C2×D172—42no—
167C2×D172—42no—
168C2×D172—42no—
169C2×D172—81no—
170C2×D172—81no—
171C2×D172C2×D412yes—
172C2×C4×D43—42no—
173C2×C4×D43—42no—
174C2×C4×D43—81no—
175C4⋊C4×C43—24no—
176C4⋊C4×C43—21no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—41no—
182C4⋊C4×C43—42no—
183C4⋊C4×C43—42no—
184C4⋊C4×C43—42no—
185C4⋊C4×C43—81no—
186C4⋊C4×C43—81no—
187C4⋊C4×C43—81no—
188C4⋊C4×C43SD1614yescomplemented
189C4⋊C4×C43#4112yes—
190C42×C43—24no—
191C42×C43—21no—
192C42×C43—21no—
193C42×C43—21no—
194C42×C43—21no—
195C42×C43—21no—
196C42×C43—21no—
197C42×C43—42no—
198C42×C43—42no—
199#10621884—28no—
200#10621884—44no—
201(C2×D43)⋊C4—42no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—81no—
206(C2×D43)⋊C4—81no—
207(C2×D43)⋊C4—81no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212Dic43⋊C4—42no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8C2×D412yes—
225C23×C43C22×D411yescharacteristic
226C22×D43—22no—
227C22×D43—41no—
228C22×D43—41no—
229C22×D43—41no—
230C22×D43—41no—
231C22×D43—41no—
232C22×D43—41no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C22×D43—41no—
240Q8×C43—22no—
241Q8×C43—22no—
242Q8×C43—22no—
243Q8×C43#12314yescomplemented
244C2×C4×C43—21no—
245C2×C4×C43—22no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—22no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43C2×SD1612yes—
272C2×C4×C43C2×SD1612yes—
273C2×C4×C43C2×SD1612yes—
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×C4×C432−1+411yescharacteristic
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286D172—22no—
287D172—22no—
288D172—41no—
289D172—41no—
290D172—41no—
291D172—41no—
292D172—41no—
293D172—41no—
294D172—84no—
295D172—84no—
296C4×D43—84no—
297C43⋊C8—22no—
298C43⋊C8—41no—
299C43⋊C8—41no—
300C43⋊C8—41no—
301#26163—431nomaximal, Sylow
302C22×C43#52511yescharacteristic
303C22×C43D4211yescharacteristic
304C22×C43#54811yescharacteristic
305C22×C43C22×SD1611yescharacteristic
306C22×C43#57511yescharacteristic
307C22×C43#57611yescharacteristic
308C22×C43#57711yescharacteristic
309C2×D43—42no—
310C2×D43—42no—
311C2×D43—42no—
312C2×D43—81no—
313C2×D43—81no—
314C2×D43—81no—
315C2×D43—81no—
316C2×D43—81no—
317C2×D43—81no—
318C2×D43—81no—
319C2×D43—81no—
320C2×D43—81no—
321C2×D43—81no—
322C2×D43—81no—
323C4×C43—22no—
324C4×C43—24no—
325C4×C43—22no—
326C4×C43—22no—
327C4×C43—41no—
328C4×C43—42no—
329C4×C43—41no—
330C4×C43—41no—
331C4×C43—81no—
332C4×C43—81no—
333C4×C43C2×#12311yescharacteristic
334C4×C43#53911yescharacteristic
335C4×C43#54711yescharacteristic
336C4×C43#55311yescharacteristic
337Dic43—81no—
338Dic43—81no—
339C2×#460—431no—
340C2×C4×SD16—431no—
341#2445—431no—
342Q8×C4⋊C4D4311yescharacteristic, complemented
343#2094—431no—
344#2088—431no—
345#2071—431no—
346#2041—431no—
347#1934—431no—
348#1916—431no—
349#1880—431no—
350#1880—431no—
351#1880—431no—
352#1865—431no—
353#1864—431no—
354C2×C43#244311yescharacteristic
355C2×C43#310311yescharacteristic
356C2×C43#311911yescharacteristic
357C2×C43#326811yescharacteristic
358C2×C43D4×SD1611yescharacteristic
359C2×C43#336211yescharacteristic
360C2×C43#337111yescharacteristic
361D43—82no—
362D43—161no—
363C22×SD16—431no—
364C22×SD16—431no—
365C2×#127—431no—
366C2×#123—861no—
367C2×C4×Q8C2×D4311yescharacteristic
368C2×C4×Q8C2×D4311yescharacteristic
369C2×C4×Q8C2×D4311yescharacteristic
370C2×C4×D4—431no—
371#460—864no—
372C4×SD16—864no—
373C2×#106—431no—
374C2×#106—431no—
375C2×C4⋊C8—431no—
376C2×#103—431no—
377C2×#103—431no—
378C2×#102—431no—
379C2×#102—431no—
380C2×#102—431no—
381C2×#102—431no—
382C2×#102—431no—
383C2×#102—431no—
384C2×C4×C8—431no—
385#394—861no—
386#394—861no—
387#390—431no—
388#390—431no—
389#390—431no—
390#389—21no—
391#389—21no—
392#389—431no—
393#389C2×D4311yescharacteristic
394#389C2×D4311yescharacteristic
395#386—861no—
396#384—21no—
397#384C2×D4311yescharacteristic
398C4×C4⋊C4—21no—
399C4×C4⋊C4C2×D4311yescharacteristic
400#340—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404#336—431no—
405#336—431no—
406#336—431no—
407#336—431no—
408C43#2616311yescharacteristic, complemented, Sylow
409C22×Q8C22×D4311yescharacteristic
410C22×D4—431no—
411C22×D4—431no—
412C22×D4—861no—
413C22×D4—861no—
414C23×C4—861no—
415C2×SD16—434no—
416C2×SD16—862no—
417C2×SD16—862no—
418C2×SD16—862no—
419C2×SD16—862no—
420C2×SD16—862no—
421C22×C8—431no—
422C22×C8—431no—
423C22×C8—431no—
424C22×C8—431no—
425#127—862no—
426#127—1721no—
427#123—1724no—
428C4×Q8—22no—
429C4×Q8—22no—
430C4×Q8—22no—
431C4×Q8—22no—
432C4×Q8—41no—
433C4×Q8—41no—
434C4×D4—862no—
435C4×D4—1721no—
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—861no—
446C2×C4⋊C4C22⋊D4311yescharacteristic
447C2×C4⋊C4C22⋊D4311yescharacteristic
448C2×C4⋊C4C22×D4311yescharacteristic
449C2×C4⋊C4C22×D4311yescharacteristic
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C22⋊C4—861no—
452C2×C22⋊C4—861no—
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42C22×D4311yescharacteristic
462C2×C42C22×D4311yescharacteristic
463C2×C42C22×D4311yescharacteristic
464#106—862no—
465#106—1721no—
466C4⋊C8—862no—
467#103—862no—
468#103—862no—
469#102—862no—
470#102—862no—
471#102—862no—
472#102—862no—
473#102—862no—
474#102—1721no—
475C4×C8—862no—
476#95—21no—
477#95—21no—
478#95—861no—
479#95C22⋊D4311yescharacteristic
480#95C22⋊D4311yescharacteristic
481C24—861no—
482C24—861no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8#1062189812yes—
487C2×Q8D4×D4312yes—
488C2×Q8#1062190212yes—
489C2×D4—432no—
490C2×D4—861no—
491C2×D4—861no—
492C2×D4—861no—
493C2×D4—861no—
494C2×D4—861no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—861no—
499C2×D4—861no—
500C2×D4—861no—
501C2×D4—3441no—
502C2×D4—3441no—
503C2×D4—1722no—
504C2×D4—1722no—
505C2×D4—1722no—
506C2×D4—1722no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—861no—
512C22×C4—861no—
513C22×C4—3441no—
514C22×C4—1722no—
515C22×C4—1722no—
516C22×C4C2×C22⋊D4311yescharacteristic
517C22×C4C2×C22⋊D4311yescharacteristic
518C22×C4C2×C22⋊D4311yescharacteristic
519C22×C4C2×C22⋊D4311yescharacteristic
520C22×C4C2×C22⋊D4311yescharacteristic
521C22×C4C2×C22⋊D4311yescharacteristic
522C22×C4C23×D4311yescharacteristic
523SD16—868no—
524SD16—1724no—
525C2×C8—432no—
526C2×C8—861no—
527C2×C8—861no—
528C2×C8—861no—
529C2×C8—861no—
530C2×C8—861no—
531C2×C8—861no—
532C2×C8—861no—
533C2×C8—861no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C4⋊C4—24no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—41no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—81no—
549C4⋊C4—81no—
550C4⋊C4—861no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—861no—
554C4⋊C4—1722no—
555C4⋊C4#1062188414yescomplemented
556C4⋊C4#1062189812yes—
557C22⋊C4—3441no—
558C22⋊C4—3441no—
559C22⋊C4—3441no—
560C22⋊C4—1722no—
561C22⋊C4—1722no—
562C22⋊C4—1722no—
563C22⋊C4—1722no—
564C42—24no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—42no—
572C42—42no—
573C23—862no—
574C23—1721no—
575C23—1721no—
576C23—1721no—
577C23—1721no—
578C23—1721no—
579C23—1721no—
580C23—1721no—
581C23—1721no—
582C23—1721no—
583C23—1721no—
584C23—1721no—
585C23—1721no—
586C23—1721no—
587C23C22×C22⋊D4311yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—22no—
591Q8#1306331014yescomplemented
592D4—862no—
593D4—862no—
594D4—3444no—
595D4—3444no—
596D4—1721no—
597D4—1721no—
598D4—1721no—
599D4—1721no—
600D4—1721no—
601D4—1721no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—3444no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4C2×#1062188412yes—
637C2×C4C2×#1062188412yes—
638C2×C4C2×#1062188412yes—
639C2×C4C2×D4×D4311yescharacteristic
640C2×C4C2×#1062189811yescharacteristic
641C2×C4C2×#1062189811yescharacteristic
642C2×C4C2×#1062190211yescharacteristic
643C2×C4#1306337011yescharacteristic
644C2×C4#1306337311yescharacteristic
645C8—862no—
646C8—1721no—
647C8—1721no—
648C8—1721no—
649C22—3441no—
650C22—3441no—
651C22—3441no—
652C22—3441no—
653C22—3441no—
654C22—3441no—
655C22—3441no—
656C22—3441no—
657C22—3441no—
658C22—3441no—
659C22—3441no—
660C22—1722no—
661C22—1722no—
662C22—1722no—
663C22#1458341011yescharacteristic
664C22D4×C22⋊D4311yescharacteristic
665C22#1458356011yescharacteristic
666C22C22×#1062188411yescharacteristic
667C22#1458369711yescharacteristic
668C22#1458370211yescharacteristic
669C22#1458370711yescharacteristic
670C4—24no—
671C4—22no—
672C4—22no—
673C4—22no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—81no—
679C4—81no—
680C4—3441no—
681C4—3441no—
682C4C2×#1306331011yescharacteristic
683C4#1458349611yescharacteristic
684C4#1458355011yescharacteristic
685C4#1458359711yescharacteristic
686C2—3442no—
687C2—6881no—
688C2#1913833011yescharacteristic
689C2#1914462611yescharacteristic
690C2#1914479411yescharacteristic
691C2#1914613611yescharacteristic
692C2D4×#1062188411yescharacteristic
693C2#1914726611yescharacteristic
694C2#1914736311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingQ8×C4⋊C4×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063322C22
hypercenterQ8×C4⋊C4D43
hypocenterC43#26163
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ Q8×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621884C2semidirect
4. #19136129C2semidirect
5. #19136097C2semidirect
6. #19135999C2semidirect
8. #19135277C2semidirect
9. #19135154C2semidirect
10. #19134950C2semidirect
11. #19134950C2semidirect
12. #19134950C2semidirect
13. #19134863C2semidirect
14. #19134855C2semidirect
15. Q8×C4⋊C4×C43C2semidirect
188. C4⋊C4×C43SD16semidirect
243. Q8×C43#123semidirect
342. Q8×C4⋊C4D43semidirect
408. C43#26163semidirect
555. C4⋊C4#10621884semidirect
591. Q8#13063310semidirect

Maximal subgroups

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

subgroupindex
C2×#145830992
C2×C4×#106218842
#191383602
#191361292
#191360972
#191359992
#191358292
#191352772
#191351542
#191349502
#191348632
#191348552
Q8×C4⋊C4×C432
#2616343