Finite Group Databasebeta

← #29723764

Subgroups — #29723764

Order 15616.

988 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×Dic61C211yesmaximal, characteristic, complemented
2#21449307C211yesmaximal, characteristic
3Q8×C22⋊Dic61C211yesmaximal, characteristic, complemented
4#21447369C211yesmaximal, characteristic, complemented
5#21447252C211yesmaximal, characteristic, complemented
6#21447132C211yesmaximal, characteristic, complemented
7#21446998C211yesmaximal, characteristic
8#21446492C211yesmaximal, characteristic, complemented
9#21446422C211yesmaximal, characteristic, complemented
10#21446176C211yesmaximal, characteristic, complemented
11#21446155C211yesmaximal, characteristic, complemented
12#21446071C211yesmaximal, characteristic, complemented
13#21445832C211yesmaximal, characteristic, complemented
14#21445754C211yesmaximal, characteristic, complemented
15C2×C61×#448C211yesmaximal, characteristic
16C2×Q8×Dic61C2211yescharacteristic
17C2×Q8×Dic61C2211yescharacteristic
18C2×D4×Dic61C2211yescharacteristic
19SD16×Dic61—24no—
20C2×#14519710C2211yescharacteristic
21C2×#14519709C2211yescharacteristic
22C2×#14519706C2211yescharacteristic
23C2×#14519701C2211yescharacteristic
24C2×#14519701C2211yescharacteristic
25C2×#14519701C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×C22⋊#92418C2211yescharacteristic
30C2×C8×Dic61C2211yescharacteristic
31#16839690—21no—
32#16839676—21no—
33#16839669—21no—
34#16839669—21no—
35#16839669C2211yescharacteristic
36#16839669C2211yescharacteristic
37#16839665C2211yescharacteristic
38#16839658C2211yescharacteristic
39#16839642—21no—
40#16839627C2211yescharacteristic
41#16839623—21no—
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
53C23×Q8×C61C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C22×SD16×C61C2211yescharacteristic
56C2×#121×C61C2211yescharacteristic
57C61×#448—24no—
58C2×#103×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×C22⋊C8×C61C2211yescharacteristic
61C23×Dic61—21no—
62C22×#92418C2311yescharacteristic
63C22×#92418C2311yescharacteristic
64Q8×Dic61—22no—
65Q8×Dic61—22no—
66Q8×Dic61—41no—
67Q8×Dic61—41no—
68D4×Dic61—22no—
69D4×Dic61—41no—
70C2×C4⋊Dic61—21no—
71C2×C4⋊Dic61—21no—
72C2×C4⋊Dic61C2311yescharacteristic
73C2×C4⋊Dic61C2311yescharacteristic
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×#11758196—21no—
77C2×C22⋊Dic61—21no—
78C2×C22⋊Dic61—21no—
79C2×C22⋊Dic61—21no—
80C2×C22⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C22⋊Dic61D411yescharacteristic
83C2×C22⋊Dic61D411yescharacteristic
84C2×C4×Dic61—21no—
85C2×C4×Dic61—21no—
86C2×C4×Dic61C2311yescharacteristic
87C2×C4×Dic61C2311yescharacteristic
88#14519710—41no—
89#14519709—22no—
90#14519706—41no—
91#14519701—22no—
92#14519701—22no—
93#14519701—22no—
94#14519701—41no—
95#14519698—22no—
96#14519698—41no—
97C22⋊#92418—41no—
98C8×Dic61—22no—
99#14519684—21no—
100#14519684—21no—
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684D411yescharacteristic
109#14519684D411yescharacteristic
110C22×Q8×C61—22no—
111C22×Q8×C61—22no—
112C22×Q8×C61—21no—
113C22×Q8×C61—22no—
114C22×Q8×C61—22no—
115C22×Q8×C61—41no—
116C22×Q8×C61—41no—
117C22×Q8×C61C2311yescharacteristic
118C22×Q8×C61C2311yescharacteristic
119C22×D4×C61—21no—
120C22×D4×C61C2311yescharacteristic
121C23×C4×C61—21no—
122C23×C4×C61C2311yescharacteristic
123C2×SD16×C61—22no—
124C2×SD16×C61—22no—
125C2×SD16×C61—22no—
126C2×SD16×C61—22no—
127C2×SD16×C61—41no—
128C2×SD16×C61D414yes—
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131#121×C61—22no—
132#121×C61—41no—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C22⋊C4×C61—21no—
135#103×C61—22no—
136#103×C61—22no—
137C22⋊C8×C61—22no—
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140C2×Q8×C61—24no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—42no—
150C2×Q8×C61—42no—
151C2×Q8×C61—44no—
152C2×Q8×C61—44no—
153C2×Q8×C61—44no—
154C2×Q8×C61—44no—
155C2×Q8×C61C2×D412yes—
156C2×Q8×C61#4112yes—
157C2×Q8×C61#4112yes—
158C2×Q8×C61#4112yes—
159C2×D4×C61—21no—
160C2×D4×C61—21no—
161C2×D4×C61—21no—
162C2×D4×C61—21no—
163C2×D4×C61—21no—
164C2×D4×C61—42no—
165C2×D4×C61—42no—
166C2×D4×C61—81no—
167C2×D4×C61C2×D412yes—
168C22×C4×C61—21no—
169C22×C4×C61—24no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—42no—
179C22×C4×C61—42no—
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2411yescharacteristic
182C22×Dic61—21no—
183C22×Dic61—21no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61—42no—
187C22×Dic61—42no—
188C22×Dic61—81no—
189C22×Dic61C2×D411yescharacteristic
190C22×Dic61C2×D411yescharacteristic
191C22×Dic61C2×D411yescharacteristic
192C22×Dic61C2×D411yescharacteristic
193SD16×C61—28no—
194SD16×C61—44no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61—21no—
199C2×C8×C61—21no—
200C2×C8×C61C2×D412yes—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—21no—
203C22⋊C4×C61—42no—
204C22⋊Dic61—22no—
205C22⋊Dic61—22no—
206C22⋊Dic61—42no—
207C22⋊Dic61—42no—
208C22⋊Dic61—81no—
209C22⋊Dic61—81no—
210C22⋊Dic61—81no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—42no—
220C4⋊Dic61—42no—
221#11758196—81no—
222C4×Dic61—21no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—21no—
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—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61#13512yes—
248C23×C61C22×D411yescharacteristic
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—22no—
252Q8×C61—22no—
253Q8×C61—22no—
254Q8×C61—48no—
255Q8×C61—41no—
256Q8×C61—41no—
257Q8×C61#12314yes—
258D4×C61—22no—
259D4×C61—22no—
260D4×C61—41no—
261D4×C61—41no—
262D4×C61—84no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—48no—
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×C61—41no—
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
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—21no—
296C2×Dic61—21no—
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—41no—
308C2×Dic61—41no—
309C2×Dic61—84no—
310C2×Dic61#13712yes—
311C8×C61—22no—
312C8×C61—41no—
313#92418—41no—
314#92418—41no—
315#24894—611nomaximal, Sylow
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—22no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61—81no—
329C22×C61—81no—
330C22×C61#52511yescharacteristic
331C22×C61D4211yescharacteristic
332C22×C61#54611yescharacteristic
333C22×C61C2×#13511yescharacteristic
334C22×C61C2×#13711yescharacteristic
335C22×C61#57711yescharacteristic
336C22×C61#57711yescharacteristic
337C4×C61—24no—
338C4×C61—41no—
339C4×C61—42no—
340C4×C61—81no—
341C4×C61C2×#12311yescharacteristic
342C4×C61#53811yescharacteristic
343C4×C61#54611yescharacteristic
344C4×C61#55111yescharacteristic
345Dic61—22no—
346Dic61—41no—
347Dic61—41no—
348Dic61—41no—
349Dic61—81no—
350Dic61—81no—
351Dic61—81no—
352Dic61—81no—
353C2×#448D6111yescharacteristic
354C2×C4×SD16—611no—
355#2420—611no—
356Q8×C22⋊C4—611no—
357#2097—611no—
358#2077—611no—
359#2055—611no—
360#2033—611no—
361#1933—611no—
362#1923—611no—
363#1880—611no—
364#1877—611no—
365#1863—611no—
366#1805—611no—
367#1787—611no—
368C2×C61—42no—
369C2×C61—82no—
370C2×C61#241811yescharacteristic
371C2×C61#310811yescharacteristic
372C2×C61#312611yescharacteristic
373C2×C61#326611yescharacteristic
374C2×C61#328211yescharacteristic
375C2×C61#330111yescharacteristic
376C2×C61#332911yescharacteristic
377C23×Q8C2×D6111yescharacteristic
378C22×SD16C2×D6111yescharacteristic
379C22×SD16C2×D6111yescharacteristic
380C2×#121C2×D6111yescharacteristic
381C2×C4×Q8—611no—
382C2×C4×Q8—611no—
383C2×C4×D4—611no—
384#448—24no—
385C4×SD16—1224no—
386C2×#107—611no—
387C2×#106—611no—
388C2×C4⋊C8—611no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103C2×D6111yescharacteristic
394C2×#103C2×D6111yescharacteristic
395C2×#102—611no—
396C2×#102—611no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8C2×D6111yescharacteristic
399C2×C4×C8—611no—
400#397—1221no—
401#394—1221no—
402#391—611no—
403#391—611no—
404#391—1221no—
405#391—1221no—
406#390—611no—
407#389—611no—
408#386—1221no—
409#382—611no—
410#381—1221no—
411#380—611no—
412#380—611no—
413#380—1221no—
414C4×C22⋊C4—611no—
415C4×C22⋊C4—1221no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420#336—611no—
421#336—611no—
422C61#2489411yescharacteristic, complemented, Sylow
423C22×Q8—22no—
424C22×Q8—22no—
425C22×Q8—21no—
426C22×Q8—22no—
427C22×Q8—22no—
428C22×Q8—41no—
429C22×Q8—41no—
430C22×Q8C22×D6111yescharacteristic
431C22×Q8C22×D6111yescharacteristic
432C22×D4—21no—
433C22×D4C22×D6111yescharacteristic
434C23×C4—21no—
435C23×C4—1221no—
436C23×C4C22×D6111yescharacteristic
437C2×SD16—22no—
438C2×SD16—22no—
439C2×SD16—22no—
440C2×SD16—22no—
441C2×SD16—41no—
442C2×SD16C22⋊D6114yes—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8C22×D6111yescharacteristic
446C22×C8C22×D6111yescharacteristic
447#121—22no—
448#121—41no—
449C4×Q8—1222no—
450C4×Q8—1222no—
451C4×Q8—2441no—
452C4×Q8—2441no—
453C4×D4—1222no—
454C4×D4—2441no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
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×C42—611no—
472C2×C42—611no—
473C2×C42—1221no—
474C2×C42—1221no—
475#107—2441no—
476#106—1222no—
477C4⋊C8—2441no—
478#103—22no—
479#103—22no—
480#103—1222no—
481#103—1222no—
482#103—1222no—
483#103—2441no—
484#102—1222no—
485#102—2441no—
486C22⋊C8—22no—
487C22⋊C8—2441no—
488C4×C8—1222no—
489#95—611no—
490#95—611no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500C24—21no—
501C24D4×D6111yescharacteristic
502C2×Q8—24no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—42no—
512C2×Q8—42no—
513C2×Q8—44no—
514C2×Q8—44no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8#1175822412yes—
518C2×Q8#1175822412yes—
519C2×Q8#1175822412yes—
520C2×Q8C2×C22⋊D6112yes—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—81no—
529C2×D4C2×C22⋊D6112yes—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—4881no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4D4×D6111yescharacteristic
554C22×C4C23×D6111yescharacteristic
555SD16—28no—
556SD16—44no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8C2×C22⋊D6112yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—4881no—
580C4⋊C4—2442no—
581C4⋊C4—2442no—
582C22⋊C4—42no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—4881no—
586C22⋊C4—4881no—
587C22⋊C4—4881no—
588C22⋊C4—2442no—
589C22⋊C4—2442no—
590C42—1221no—
591C42—1221no—
592C42—1221no—
593C42—1221no—
594C42—2442no—
595C42—2442no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23#1451979812yes—
610C23C2×D4×D6111yescharacteristic
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—48no—
617Q8—41no—
618Q8—41no—
619Q8#1451975814yes—
620D4—22no—
621D4—22no—
622D4—41no—
623D4—41no—
624D4—84no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—48no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—612no—
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—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—4884no—
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×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4C22×C22⋊D6111yescharacteristic
668C2×C4C2×#1175822411yescharacteristic
669C2×C4C2×#1175822411yescharacteristic
670C2×C4C2×#1175822411yescharacteristic
671C2×C4#1451982211yescharacteristic
672C2×C4#1451982211yescharacteristic
673C8—22no—
674C8—41no—
675C8—2441no—
676C8—2441no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22#1684026811yescharacteristic
692C22D4×C22⋊D6111yescharacteristic
693C22#1684039911yescharacteristic
694C22C2×#1451979811yescharacteristic
695C22#137×D6111yescharacteristic
696C22#1684056811yescharacteristic
697C22#1684057111yescharacteristic
698C4—24no—
699C4—41no—
700C4—42no—
701C4—81no—
702C4—1222no—
703C4—4881no—
704C4—4881no—
705C4—4881no—
706C4—4881no—
707C4—2441no—
708C4—2441no—
709C4—2441no—
710C4C2×#1451975811yescharacteristic
711C4#1684034711yescharacteristic
712C4#1684040611yescharacteristic
713C4#1684044311yescharacteristic
714C2—42no—
715C2—82no—
716C2#2144927711yescharacteristic
717C2#2145589411yescharacteristic
718C2#2145610411yescharacteristic
719C2#2145732311yescharacteristic
720C2#2145752611yescharacteristic
721C2#2145772511yescharacteristic
722C2#2145810611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#448C2
socleC23×C61C22×D4
prime radicalC2×#121×C61C22
hypercenterC2×#448D61
hypocenterC61#24894
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

Complements

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

NH ≅ G/Ntype
1. C2×SD16×Dic61C2semidirect
3. Q8×C22⋊Dic61C2semidirect
4. #21447369C2semidirect
5. #21447252C2semidirect
6. #21447132C2semidirect
8. #21446492C2semidirect
9. #21446422C2semidirect
10. #21446176C2semidirect
11. #21446155C2semidirect
12. #21446071C2semidirect
13. #21445832C2semidirect
14. #21445754C2semidirect
422. C61#24894semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×Dic612
#214493072
Q8×C22⋊Dic612
#214473692
#214472522
#214471322
#214469982
#214464922
#214464222
#214461762
#214461552
#214460712
#214458322
#214457542
C2×C61×#4482
#2489461