Finite Group Databasebeta

← #29723914

Subgroups — #29723914

Order 15616.

966 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q16×Dic61C211yesmaximal, characteristic, complemented
2#21449340C211yesmaximal, characteristic, complemented
3#21448660C211yesmaximal, characteristic
4#21447345C211yesmaximal, characteristic, complemented
5#21447242C211yesmaximal, characteristic, complemented
6#21447132C211yesmaximal, characteristic, complemented
7#21447019C211yesmaximal, characteristic, complemented
8#21446499C211yesmaximal, characteristic, complemented
9#21446422C211yesmaximal, characteristic, complemented
10#21446176C211yesmaximal, characteristic, complemented
11#21446162C211yesmaximal, characteristic, complemented
12#21446071C211yesmaximal, characteristic, complemented
13#21445822C211yesmaximal, characteristic, complemented
14#21445759C211yesmaximal, characteristic
15C2×C61×#452C211yesmaximal, characteristic
16C2×Q8×Dic61C2211yescharacteristic
17C2×Q8×Dic61C2211yescharacteristic
18C2×Q8×Dic61C2211yescharacteristic
19Q16×Dic61—24no—
20C2×#14519711C2211yescharacteristic
21C2×#14519710C2211yescharacteristic
22C2×#14519706C2211yescharacteristic
23C2×#14519701C2211yescharacteristic
24C2×#14519701C2211yescharacteristic
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×C22⋊#92418C2211yescharacteristic
30C2×C8×Dic61C2211yescharacteristic
31#16839698—21no—
32#16839692—21no—
33#16839669C2211yescharacteristic
34#16839665—21no—
35#16839665—21no—
36#16839665C2211yescharacteristic
37#16839665C2211yescharacteristic
38#16839658C2211yescharacteristic
39#16839650—21no—
40#16839643—21no—
41#16839631C2211yescharacteristic
42#16839622—21no—
43#16839622C2211yescharacteristic
44#16839622C2211yescharacteristic
45C4×C22⋊Dic61—21no—
46C4×C22⋊Dic61C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53C22×#41×C61C2211yescharacteristic
54C22×Q16×C61C2211yescharacteristic
55C22×SD16×C61C2211yescharacteristic
56C2×C22⋊Q8×C61C2211yescharacteristic
57C61×#452—24no—
58C2×#103×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×C22⋊C8×C61C2211yescharacteristic
61C22×#92418C2311yescharacteristic
62C22×#92418C2311yescharacteristic
63Q8×Dic61—22no—
64Q8×Dic61—22no—
65Q8×Dic61—22no—
66Q8×Dic61—41no—
67Q8×Dic61—41no—
68Q8×Dic61—41no—
69C2×C4⋊Dic61—21no—
70C2×C4⋊Dic61—21no—
71C2×C4⋊Dic61—21no—
72C2×C4⋊Dic61C2311yescharacteristic
73C2×C4⋊Dic61C2311yescharacteristic
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×#11758196—21no—
77C2×#11758196—21no—
78C2×#11758196—21no—
79C2×C22⋊Dic61—21no—
80C2×C22⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61D411yescharacteristic
86C2×C22⋊Dic61D411yescharacteristic
87C2×C4×Dic61—21no—
88C2×C4×Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61C2311yescharacteristic
91C2×C4×Dic61C2311yescharacteristic
92#14519711—22no—
93#14519710—41no—
94#14519706—41no—
95#14519701—22no—
96#14519701—22no—
97#14519701—22no—
98#14519701—41no—
99#14519698—22no—
100#14519698—41no—
101C22⋊#92418—41no—
102C8×Dic61—22no—
103#14519684—21no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684D411yescharacteristic
109#14519684D411yescharacteristic
110C2×#41×C61—22no—
111C2×#41×C61—22no—
112C2×#41×C61—22no—
113C2×#41×C61—22no—
114C2×#41×C61—41no—
115C2×#41×C61—41no—
116C22×Q8×C61C2311yescharacteristic
117C22×Q8×C61C2311yescharacteristic
118C22×D4×C61—21no—
119C22×D4×C61C2311yescharacteristic
120C23×C4×C61—21no—
121C23×C4×C61C2311yescharacteristic
122C2×Q16×C61—22no—
123C2×Q16×C61—22no—
124C2×Q16×C61D414yes—
125C2×SD16×C61—22no—
126C2×SD16×C61—22no—
127C2×SD16×C61—41no—
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C22⋊Q8×C61—22no—
131C22⋊Q8×C61—41no—
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C22⋊C4×C61—21no—
135#103×C61—22no—
136#102×C61—22no—
137C22⋊C8×C61—22no—
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140#41×C61—44no—
141#41×C61—44no—
142#41×C61—44no—
143#41×C61—44no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61—21no—
151C2×Q8×C61—21no—
152C2×Q8×C61C2×D412yes—
153C2×Q8×C61C2×D412yes—
154C2×Q8×C61#4112yes—
155C2×Q8×C61#4112yes—
156C2×D4×C61—24no—
157C2×D4×C61—21no—
158C2×D4×C61—21no—
159C2×D4×C61—21no—
160C2×D4×C61—21no—
161C2×D4×C61—21no—
162C2×D4×C61—42no—
163C2×D4×C61—42no—
164C2×D4×C61#4112yes—
165C22×C4×C61—21no—
166C22×C4×C61—24no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—42no—
176C22×C4×C61—42no—
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2411yescharacteristic
179C22×Dic61—21no—
180C22×Dic61—21no—
181C22×Dic61—21no—
182C22×Dic61—21no—
183C22×Dic61C2×D411yescharacteristic
184C22×Dic61C2×D411yescharacteristic
185C22×Dic61C2×D411yescharacteristic
186C22×Dic61C2×D411yescharacteristic
187Q16×C61—28no—
188SD16×C61—44no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61C2×D412yes—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—42no—
198C22⋊C4×C61—42no—
199C22⋊Dic61—22no—
200C22⋊Dic61—22no—
201C22⋊Dic61—42no—
202C22⋊Dic61—42no—
203C22⋊Dic61—81no—
204C22⋊Dic61—81no—
205C22⋊Dic61—81no—
206C22⋊Dic61—81no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216C4⋊Dic61—42no—
217C4⋊Dic61—42no—
218#11758196—42no—
219#11758196—81no—
220#11758196—81no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—42no—
226C4×Dic61—42no—
227C4×Dic61—42no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C23×C61—21no—
235C23×C61—22no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61C22×D411yescharacteristic
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—22no—
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—41no—
255Q8×C61—41no—
256Q8×C61#12314yes—
257D4×C61—22no—
258D4×C61—22no—
259D4×C61—48no—
260D4×C61—41no—
261D4×C61—41no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—21no—
266C2×C4×C61—22no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—48no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61#13512yes—
308C2×Dic61#13712yes—
309C8×C61—22no—
310C8×C61—41no—
311#92418—41no—
312#92418—41no—
313#24904—611nomaximal, Sylow
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—42no—
317C22×C61—41no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61#52511yescharacteristic
329C22×C61D4211yescharacteristic
330C22×C61#54611yescharacteristic
331C22×C61C2×#13511yescharacteristic
332C22×C61C2×#13711yescharacteristic
333C22×C61#57611yescharacteristic
334C22×C61#57811yescharacteristic
335C4×C61—24no—
336C4×C61—41no—
337C4×C61—42no—
338C4×C61—81no—
339C4×C61C2×#12311yescharacteristic
340C4×C61#53811yescharacteristic
341C4×C61#54611yescharacteristic
342C4×C61#55111yescharacteristic
343Dic61—22no—
344Dic61—22no—
345Dic61—41no—
346Dic61—41no—
347Dic61—81no—
348Dic61—81no—
349Dic61—81no—
350Dic61—81no—
351C2×#452D6111yescharacteristic
352C2×C4×Q16—611no—
353#2423—611no—
354#2341—611no—
355#2093—611no—
356#2075—611no—
357#2055—611no—
358#2036—611no—
359#1934—611no—
360#1923—611no—
361#1880—611no—
362#1878—611no—
363#1863—611no—
364#1803—611no—
365#1788—611no—
366C2×C61—81no—
367C2×C61—82no—
368C2×C61#241811yescharacteristic
369C2×C61#310711yescharacteristic
370C2×C61#312411yescharacteristic
371C2×C61#327011yescharacteristic
372C2×C61#328711yescharacteristic
373C2×C61#330011yescharacteristic
374C2×C61#333311yescharacteristic
375C22×#41C2×D6111yescharacteristic
376C22×Q16C2×D6111yescharacteristic
377C22×SD16C2×D6111yescharacteristic
378C2×C22⋊Q8C2×D6111yescharacteristic
379C2×C4×Q8—611no—
380C2×C4×Q8—611no—
381C2×C4×Q8—611no—
382#452—24no—
383C4×Q16—1224no—
384C2×#107—611no—
385C2×#107—611no—
386C2×C4⋊C8—611no—
387C2×#103—611no—
388C2×#103—611no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103C2×D6111yescharacteristic
392C2×#102—611no—
393C2×#102—611no—
394C2×#102C2×D6111yescharacteristic
395C2×C22⋊C8—611no—
396C2×C22⋊C8C2×D6111yescharacteristic
397C2×C4×C8—611no—
398#399—1221no—
399#398—1221no—
400#391—611no—
401#390—611no—
402#390—611no—
403#390—1221no—
404#390—1221no—
405#389—611no—
406#388—1221no—
407#387—1221no—
408#384—611no—
409#380—611no—
410#380—611no—
411#380—1221no—
412C4×C22⋊C4—611no—
413C4×C22⋊C4—1221no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#336—611no—
419#336—611no—
420C61#2490411yescharacteristic, complemented, Sylow
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8C22×D6111yescharacteristic
428C22×Q8C22×D6111yescharacteristic
429C22×D4—21no—
430C22×D4C22×D6111yescharacteristic
431C23×C4—21no—
432C23×C4C22×D6111yescharacteristic
433C2×Q16—22no—
434C2×Q16—22no—
435C2×Q16C22⋊D6114yes—
436C2×SD16—22no—
437C2×SD16—22no—
438C2×SD16—41no—
439C22×C8—611no—
440C22×C8—611no—
441C22×C8C22×D6111yescharacteristic
442C22×C8C22×D6111yescharacteristic
443C22⋊Q8—22no—
444C22⋊Q8—41no—
445C4×Q8—1222no—
446C4×Q8—1222no—
447C4×Q8—1222no—
448C4×Q8—2441no—
449C4×Q8—2441no—
450C4×Q8—2441no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—611no—
465C2×C22⋊C4—611no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C42—611no—
473C2×C42—611no—
474C2×C42—1221no—
475C2×C42—1221no—
476C2×C42—1221no—
477#107—1222no—
478#107—2441no—
479C4⋊C8—2441no—
480#103—22no—
481#103—1222no—
482#103—1222no—
483#103—1222no—
484#103—2441no—
485#102—22no—
486#102—1222no—
487#102—2441no—
488C22⋊C8—22no—
489C22⋊C8—2441no—
490C4×C8—1222no—
491#95—611no—
492#95—611no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498C24—21no—
499C24D4×D6111yescharacteristic
500#41—44no—
501#41—44no—
502#41—44no—
503#41—44no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8#1175822412yes—
513C2×Q8#1175822412yes—
514C2×Q8C2×C22⋊D6112yes—
515C2×Q8C2×C22⋊D6112yes—
516C2×D4—24no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1175822412yes—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4D4×D6111yescharacteristic
546C22×C4C23×D6111yescharacteristic
547Q16—28no—
548SD16—44no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8C2×C22⋊D6112yes—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—42no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—4881no—
573C4⋊C4—4881no—
574C4⋊C4—2442no—
575C4⋊C4—2442no—
576C4⋊C4—2442no—
577C4⋊C4—2442no—
578C22⋊C4—42no—
579C22⋊C4—1222no—
580C22⋊C4—1222no—
581C22⋊C4—4881no—
582C22⋊C4—4881no—
583C22⋊C4—4881no—
584C22⋊C4—4881no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C42—1221no—
588C42—1221no—
589C42—1221no—
590C42—1221no—
591C42—2442no—
592C42—2442no—
593C42—2442no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23C2×D4×D6111yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—41no—
615Q8—41no—
616Q8#1451975814yes—
617D4—22no—
618D4—22no—
619D4—48no—
620D4—41no—
621D4—41no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—48no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4C22×C22⋊D6111yescharacteristic
664C2×C4C2×#1175822411yescharacteristic
665C2×C4C2×#1175822411yescharacteristic
666C2×C4C2×#1175822411yescharacteristic
667C2×C4#1451982211yescharacteristic
668C2×C4#1451982211yescharacteristic
669C8—22no—
670C8—41no—
671C8—2441no—
672C8—2441no—
673C22—41no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—41no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22#1684026811yescharacteristic
688C22D4×C22⋊D6111yescharacteristic
689C22#1684039911yescharacteristic
690C22#135×D6111yescharacteristic
691C22#137×D6111yescharacteristic
692C22#1684056411yescharacteristic
693C22#1684057811yescharacteristic
694C4—24no—
695C4—41no—
696C4—42no—
697C4—81no—
698C4—1222no—
699C4—1222no—
700C4—4881no—
701C4—4881no—
702C4—4881no—
703C4—4881no—
704C4—2441no—
705C4—2441no—
706C4C2×#1451975811yescharacteristic
707C4#1684034711yescharacteristic
708C4#1684040611yescharacteristic
709C4#1684044311yescharacteristic
710C2—81no—
711C2—82no—
712C2#2144927711yescharacteristic
713C2#2145588311yescharacteristic
714C2#2145608211yescharacteristic
715C2#2145738311yescharacteristic
716C2#2145757311yescharacteristic
717C2#2145769911yescharacteristic
718C2#2145815011yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#452C2
socleC23×C61C22×D4
prime radicalC22×#41×C61C22
hypercenterC2×#452D61
hypocenterC61#24904
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. C2×Q16×Dic61C2semidirect
2. #21449340C2semidirect
4. #21447345C2semidirect
5. #21447242C2semidirect
6. #21447132C2semidirect
7. #21447019C2semidirect
8. #21446499C2semidirect
9. #21446422C2semidirect
10. #21446176C2semidirect
11. #21446162C2semidirect
12. #21446071C2semidirect
13. #21445822C2semidirect
420. C61#24904semidirect

Maximal subgroups

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

subgroupindex
C2×Q16×Dic612
#214493402
#214486602
#214473452
#214472422
#214471322
#214470192
#214464992
#214464222
#214461762
#214461622
#214460712
#214458222
#214457592
C2×C61×#4522
#2490461