Finite Group Databasebeta

← #29716425

Subgroups — #29716425

Order 15616.

1262 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×D4×Dic122C211yesmaximal, characteristic
2C2×#16840045C211yesmaximal, characteristic, complemented
3C2×SD16×Dic61C211yesmaximal, characteristic
4#21451190C211yesmaximal, characteristic, complemented
5#21447153C211yesmaximal, characteristic, complemented
6#21447151C211yesmaximal, characteristic, complemented
7#21446960C211yesmaximal, characteristic, complemented
8#21446958C211yesmaximal, characteristic, complemented
9#21446778C211yesmaximal, characteristic, complemented
10#21446753C211yesmaximal, characteristic, complemented
11#21446155C211yesmaximal, characteristic
12#21446082C211yesmaximal, characteristic
13#21446080C211yesmaximal, characteristic
14#21445817C211yesmaximal, characteristic
15C61×#1877C211yesmaximal, characteristic
16C23×Dic122—21no—
17D4×Dic122—24no—
18D4×Dic122—24no—
19C2×#14519777C2211yescharacteristic
20C2×#14519776C2211yescharacteristic
21C2×#14519776C2211yescharacteristic
22C2×#14519756—21no—
23C2×#14519754—21no—
24C2×#14519754—21no—
25C2×Q8×Dic61C2211yescharacteristic
26C2×C4×Dic122C2211yescharacteristic
27C2×D4×Dic61C2211yescharacteristic
28C2×D4×Dic61C2211yescharacteristic
29#16840045—24no—
30SD16×Dic61—24no—
31C2×#14519709C2211yescharacteristic
32C2×#14519709C2211yescharacteristic
33C2×#14519708C2211yescharacteristic
34C2×#14519706C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×#14519701C2211yescharacteristic
37C2×#14519698C2211yescharacteristic
38C2×#14519698C2211yescharacteristic
39C2×C8×Dic61C2211yescharacteristic
40#16839696—21no—
41#16839694—21no—
42#16839669C2211yescharacteristic
43#16839666—21no—
44#16839661C2211yescharacteristic
45#16839660C2211yescharacteristic
46#16839659—21no—
47#16839631C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839517C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C22×SD16×C61C2211yescharacteristic
57C2×C4×D4×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C61×#391C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122—28no—
64C22×Dic122—21no—
65C22×Dic122—21no—
66C22×Dic122—21no—
67C22×Dic122—44no—
68C22×Dic122—44no—
69C22×Dic122D411yescharacteristic
70C23×Dic61—21no—
71C23×Dic61—21no—
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74#14519777—22no—
75#14519777—22no—
76#14519776—22no—
77#14519776—22no—
78#14519776—22no—
79#14519776D414yes—
80#14519756—28no—
81#14519754—28no—
82#14519754—28no—
83Q8×Dic61—22no—
84Q8×Dic61—22no—
85C4×Dic122—22no—
86C4×Dic122—22no—
87D4×Dic61—22no—
88D4×Dic61—22no—
89D4×Dic61—22no—
90D4×Dic61D414yes—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61—21no—
93C2×C4⋊Dic61—21no—
94C2×C4⋊Dic61D411yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×C4⋊Dic61C2311yescharacteristic
98C2×C4⋊Dic61C2311yescharacteristic
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C2×#11758196—21no—
103C2×#11758196—21no—
104C2×#11758196D411yescharacteristic
105C2×#11758196D411yescharacteristic
106C2×C22⋊Dic61—21no—
107C2×C22⋊Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110C2×C4×Dic61C2311yescharacteristic
111#14519709—22no—
112#14519709—22no—
113#14519708—22no—
114#14519706—22no—
115#14519701—22no—
116#14519701—22no—
117#14519698—22no—
118#14519698—22no—
119C8×Dic61—22no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124C22×Q8×C61C2311yescharacteristic
125C22×D4×C61C2311yescharacteristic
126C23×C4×C61—21no—
127C2×SD16×C61—22no—
128C2×SD16×C61—22no—
129C2×SD16×C61Q814yescomplemented
130C22×C8×C61C2311yescharacteristic
131C22×C8×C61C2311yescharacteristic
132C4×D4×C61—22no—
133C4×D4×C61—22no—
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C42×C61C2311yescharacteristic
138#103×C61—22no—
139#102×C61—22no—
140#95×C61—21no—
141#95×C61—21no—
142C24×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61C2×Q812yescomplemented
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61C2×D412yes—
153C2×D4×C61C2×Q812yes—
154C2×D4×C61#4112yes—
155C22×C4×C61—24no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61—21no—
159C22×C4×C61—42no—
160C22×C4×C61—42no—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C22×Dic61—24no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—24no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C22×Dic61C2×D411yescharacteristic
175C22×Dic61C2×D411yescharacteristic
176C22×Dic61C2×D411yescharacteristic
177C22×Dic61C2×D411yescharacteristic
178C2×Dic122—22no—
179C2×Dic122—22no—
180C2×Dic122—24no—
181C2×Dic122—24no—
182C2×Dic122—24no—
183C2×Dic122—432no—
184C2×Dic122—42no—
185C2×Dic122—42no—
186C2×Dic122—42no—
187C2×Dic122—42no—
188C2×Dic122—42no—
189C2×Dic122—42no—
190C2×Dic122SD1614yescomplemented
191SD16×C61—28no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61C2×Q812yescomplemented
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61C2×D412yes—
202C22⋊C4×C61—24no—
203C42×C61—21no—
204C42×C61—21no—
205C22⋊Dic61—24no—
206C22⋊Dic61—24no—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—22no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216C4⋊Dic61—81no—
217C4⋊Dic61C2×D412yes—
218C4⋊Dic61C2×D412yes—
219#11758196—24no—
220#11758196—24no—
221#11758196—22no—
222#11758196—22no—
223#11758196—42no—
224#11758196—81no—
225#11758196—81no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—42no—
229C4×Dic61C2×D412yes—
230C4×Dic61C2×D412yes—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C23×C61—22no—
238C23×C61—22no—
239C23×C61—22no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245Q8×C61—22no—
246Q8×C61—22no—
247Q8×C61—41no—
248Q8×C61—41no—
249D4×C61—22no—
250D4×C61—22no—
251D4×C61—22no—
252D4×C61C22⋊Q814yes—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—48no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61C2×SD1612yes—
269C2×C4×C61C22×D411yescharacteristic
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C22×Q811yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C612−1+411yescharacteristic
274C2×C4×C612−1+411yescharacteristic
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—48no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—48no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61#12012yes—
297C2×Dic61#12012yes—
298C2×Dic61C2×SD1612yes—
299C2×Dic61C2×SD1612yes—
300C2×Dic61AGL(1,ℤ/8)12yes—
301Dic122—28no—
302Dic122—48no—
303Dic122—48no—
304Dic122—48no—
305C8×C61—22no—
306C8×C61—41no—
307#92418—41no—
308#92418—41no—
309#24330—611nomaximal, Sylow
310C22×C61—24no—
311C22×C61—42no—
312C22×C61—42no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61C2×#12011yescharacteristic
318C22×C61#54811yescharacteristic
319C22×C61D4×Q811yescharacteristic
320C22×C61C22×SD1611yescharacteristic
321C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C61#57711yescharacteristic
323C22×C61#57811yescharacteristic
324C4×C61—22no—
325C4×C61—42no—
326C4×C61—42no—
327C4×C61—41no—
328C4×C61—81no—
329C4×C61C2×C22⋊Q811yescharacteristic
330C4×C61#53611yescharacteristic
331C4×C61#54811yescharacteristic
332C4×C61D4×Q811yescharacteristic
333Dic61—22no—
334Dic61—22no—
335Dic61—42no—
336Dic61—42no—
337Dic61—41no—
338Dic61—81no—
339Dic61—81no—
340Dic61#45014yes—
341C2×D4×Q8—611no—
342C2×#475—611no—
343C2×C4×SD16—611no—
344#2582—611no—
345#2058—611no—
346#2058—611no—
347#2024—611no—
348#2024—611no—
349#1990—611no—
350#1984—611no—
351#1877—611no—
352#1877D6111yescharacteristic
353#1864—611no—
354#1864—611no—
355#1802—611no—
356C2×C61—44no—
357C2×C61#240911yescharacteristic
358C2×C61C2×#45011yescharacteristic
359C2×C61#301311yescharacteristic
360C2×C61#335911yescharacteristic
361C2×C61#337311yescharacteristic
362C2×C61Q8×SD1611yescharacteristic
363C2×C61#338611yescharacteristic
364C23×Q8—1221no—
365C22×SD16C2×D6111yescharacteristic
366D4×Q8—1224no—
367D4×Q8—1224no—
368C2×C4⋊Q8—611no—
369C2×C4⋊Q8—611no—
370C2×C4⋊Q8—611no—
371C2×C22⋊Q8—1221no—
372C2×C22⋊Q8—1221no—
373C2×C22⋊Q8—1221no—
374C2×C4×Q8—611no—
375C2×C4×Q8—611no—
376C2×C4×D4—611no—
377C2×C4×D4—611no—
378C2×C4×D4C2×D6111yescharacteristic
379#475—1224no—
380C4×SD16—1224no—
381C2×#106—611no—
382C2×#106—611no—
383C2×#106—611no—
384C2×C4⋊C8—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103C2×D6111yescharacteristic
388C2×#102—611no—
389C2×#102—611no—
390C2×#102C2×D6111yescharacteristic
391C2×C4×C8—611no—
392#398—1221no—
393#398—1221no—
394#391—611no—
395#391—1221no—
396#391C2×D6111yescharacteristic
397#389—611no—
398#389—611no—
399#389—1221no—
400#384—611no—
401#340—611no—
402#340—611no—
403#340—611no—
404#340—611no—
405#340—611no—
406#340C2×D6111yescharacteristic
407#336—611no—
408#336—611no—
409#336—611no—
410#336C2×D6111yescharacteristic
411C61#2433011yescharacteristic, complemented, Sylow
412C22×Q8—611no—
413C22×Q8—1221no—
414C22×Q8—1221no—
415C22×Q8—1228no—
416C22×Q8—1221no—
417C22×Q8—2444no—
418C22×Q8—2444no—
419C22×Q8C22×D6111yescharacteristic
420C22×D4C22×D6111yescharacteristic
421C23×C4—21no—
422C23×C4—1221no—
423C23×C4—1221no—
424C2×SD16—22no—
425C2×SD16—22no—
426C2×SD16Dic12214yescomplemented
427C22×C8—611no—
428C22×C8—611no—
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C4⋊Q8—614no—
432C4⋊Q8—1222no—
433C4⋊Q8—1222no—
434C4⋊Q8—1222no—
435C4⋊Q8—1222no—
436C4⋊Q8—1222no—
437C22⋊Q8—1228no—
438C22⋊Q8—1228no—
439C22⋊Q8—1228no—
440C4×Q8—1222no—
441C4×Q8—1222no—
442C4×Q8—1222no—
443C4×Q8—1222no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—614no—
447C4×D4—1222no—
448C4×D4—1222no—
449C4×D4—1222no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C42—611no—
471C2×C42—611no—
472C2×C42—1221no—
473C2×C42C22×D6111yescharacteristic
474#106—1222no—
475#106—1222no—
476#106—1222no—
477C4⋊C8—1222no—
478#103—22no—
479#103—1222no—
480#103—1222no—
481#102—22no—
482#102—1222no—
483#102—1222no—
484C4×C8—1222no—
485#95—21no—
486#95—21no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491C24—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—614no—
498C2×Q8—1222no—
499C2×Q8—1222no—
500C2×Q8—1224no—
501C2×Q8—1224no—
502C2×Q8—1224no—
503C2×Q8—2442no—
504C2×Q8—2442no—
505C2×Q8—2442no—
506C2×Q8—2442no—
507C2×Q8—2442no—
508C2×Q8—24432no—
509C2×Q8—2442no—
510C2×Q8C2×Dic12212yescomplemented
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C2×Dic12212yes—
515C2×D4D4×D6112yes—
516C2×D4#1175822412yes—
517C22×C4—24no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—1224no—
528C22×C4—1224no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—2442no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4—2442no—
537C22×C4D4×D6111yescharacteristic
538C22×C4D4×D6111yescharacteristic
539C22×C4C23×D6111yescharacteristic
540SD16—28no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8C2×Dic12212yescomplemented
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—612no—
557C4⋊C4—612no—
558C4⋊C4—1222no—
559C4⋊C4—1222no—
560C4⋊C4—1222no—
561C4⋊C4—1224no—
562C4⋊C4—1224no—
563C4⋊C4—1224no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—4881no—
571C4⋊C4—4881no—
572C4⋊C4—4881no—
573C4⋊C4—2442no—
574C4⋊C4—2442no—
575C4⋊C4D4×D6112yes—
576C22⋊C4—24no—
577C22⋊C4—1224no—
578C22⋊C4—1224no—
579C42—21no—
580C42—21no—
581C42—612no—
582C42—612no—
583C42—1221no—
584C42—1221no—
585C42—2442no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23C2×D4×D6111yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—1228no—
599Q8—2448no—
600Q8—2448no—
601Q8—2448no—
602D4—22no—
603D4—22no—
604D4—22no—
605D4#1451975414yes—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—612no—
622C2×C4—612no—
623C2×C4—612no—
624C2×C4—612no—
625C2×C4—612no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1222no—
632C2×C4—1222no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—2448no—
636C2×C4—2448no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4SD16×D6112yes—
648C2×C4C2×D4×D6111yescharacteristic
649C2×C4C2×D4×D6111yescharacteristic
650C2×C4C22×Dic12211yescharacteristic
651C2×C4C2×#1175822411yescharacteristic
652C2×C4#1451982411yescharacteristic
653C2×C4#1451982411yescharacteristic
654C8—22no—
655C8—41no—
656C8—2441no—
657C8—2441no—
658C22—24no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22#120×D6111yescharacteristic
666C22#1684041811yescharacteristic
667C22D4×Dic12211yescharacteristic
668C22C2×SD16×D6111yescharacteristic
669C22AGL(1,ℤ/8)×D6111yescharacteristic
670C22#1684056911yescharacteristic
671C22#1684057811yescharacteristic
672C4—22no—
673C4—41no—
674C4—42no—
675C4—42no—
676C4—81no—
677C4—614no—
678C4—1222no—
679C4—1222no—
680C4—4881no—
681C4—4881no—
682C4—2441no—
683C4—2442no—
684C4—2442no—
685C4C2×#1451975411yescharacteristic
686C4#1684033411yescharacteristic
687C4#1684041811yescharacteristic
688C4D4×Dic12211yescharacteristic
689C2—44no—
690C2#2144918111yescharacteristic
691C2#450×D6111yescharacteristic
692C2#2145513811yescharacteristic
693C2#2145845611yescharacteristic
694C2#2145860611yescharacteristic
695C2SD16×Dic12211yescharacteristic
696C2#2145874111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1877C2
socleC23×C61C22×D4
prime radicalC22×D4×C61C23
hypercenter#1877D61
hypocenterC61#24330
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
2. C2×#16840045C2semidirect
4. #21451190C2semidirect
5. #21447153C2semidirect
6. #21447151C2semidirect
7. #21446960C2semidirect
8. #21446958C2semidirect
9. #21446778C2semidirect
10. #21446753C2semidirect
129. C2×SD16×C61Q8semidirect
148. C2×Q8×C61C2×Q8semidirect
190. C2×Dic122SD16semidirect
197. C2×C8×C61C2×Q8semidirect
411. C61#24330semidirect
426. C2×SD16Dic122semidirect
510. C2×Q8C2×Dic122semidirect
552. C2×C8C2×Dic122semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic1222
C2×#168400452
C2×SD16×Dic612
#214511902
#214471532
#214471512
#214469602
#214469582
#214467782
#214467532
#214461552
#214460822
#214460802
#214458172
C61×#18772
#2433061