Finite Group Databasebeta

← #30603019

Subgroups — #30603019

Order 15616.

982 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D61⋊#104C211yesmaximal, characteristic
2C2×#16840752C211yesmaximal, characteristic
3C2×#16840725C211yesmaximal, characteristic, complemented
4C2×#16840637C211yesmaximal, characteristic, complemented
5C2×#16840634C211yesmaximal, characteristic, complemented
6C2×(C2×#6923)⋊C8C211yesmaximal, characteristic, complemented
7#408×D61C211yesmaximal, characteristic
8C2×D61⋊M16C2211yescharacteristic
9C22×D61⋊C8C2211yescharacteristic
10C2×#14519856C2211yescharacteristic
11C22×C4×#6923C2211yescharacteristic
12C2×#14519842C412yescomplemented
13D61⋊#104—22no—
14D61⋊#104—22no—
15C2×#14519841C412yescomplemented
16#16840752—22no—
17#16840752—22no—
18C2×#14519840C412yescomplemented
19C2×#14519839C412yescomplemented
20#16840725—22no—
21#16840725—22no—
22C2×#14519831—21no—
23C2×C8×#6923—21no—
24#16840637—22no—
25#16840634—22no—
26(C2×#6923)⋊C8—21no—
27(C2×#6923)⋊C8—21no—
28C2×#41×D61C2211yescharacteristic
29C2×M16×D61C2211yescharacteristic
30C22×C8×D61C2211yescharacteristic
31#16839730C411yescharacteristic, complemented
32#16839729C411yescharacteristic, complemented
33#16839728C411yescharacteristic, complemented
34#16839727—21no—
35#16839727—21no—
36C22⋊C8×D61—21no—
37C22⋊C8×D61—21no—
38C61×#408C411yescharacteristic, complemented
39C23×#6923—21no—
40C2×#11758213C2×C412yes—
41D61⋊M16—21no—
42D61⋊M16—21no—
43D61⋊M16D412yes—
44D61⋊M16D412yes—
45C2×#11758217—21no—
46C2×D61⋊C8—21no—
47C2×D61⋊C8—21no—
48C2×D61⋊C8—21no—
49C2×D61⋊C8—21no—
50C2×D61⋊C8—21no—
51C2×D61⋊C8—21no—
52C2×D61⋊C8C2×C412yes—
53C22×#92420—21no—
54#14519856—21no—
55#14519856—21no—
56#14519856D412yes—
57#14519856D412yes—
58C2×C4⋊#6923C2×C412yes—
59C2×C22⋊#6923—21no—
60C2×C4×#6923—21no—
61C2×C4×#6923—21no—
62C2×C4×#6923—21no—
63C2×C4×#6923—21no—
64C2×C4×#6923—21no—
65C2×C4×#6923—21no—
66C2×C4×#6923C2×C412yes—
67#14519842—24no—
68#14519841—24no—
69#14519840—24no—
70#14519839—24no—
71#14519831—24no—
72C8×#6923—24no—
73C2×#11758226C2×C411yescharacteristic
74C2×#11758222—21no—
75C2×#11758222C2×C411yescharacteristic
76C2×#11758224—21no—
77C2×#11758224C2×C411yescharacteristic
78#41×D61—21no—
79#41×D61—21no—
80#41×D61—21no—
81#41×D61—21no—
82#41×D61—21no—
83#41×D61—21no—
84#41×D61—21no—
85#41×D61—21no—
86C2×Q8×D61C2×C411yescharacteristic
87C2×D4×D61—21no—
88C2×D4×D61C2×C411yescharacteristic
89C22×C4×D61—21no—
90C22×C4×D61C2311yescharacteristic
91C2×#11758194C2×C411yescharacteristic
92C2×#11758189—21no—
93M16×D61—21no—
94M16×D61—21no—
95M16×D61—21no—
96M16×D61—21no—
97C22×#92418C2×C411yescharacteristic
98C2×C8×D61—21no—
99C2×C8×D61—21no—
100C2×C8×D61—21no—
101C2×C8×D61—21no—
102C2×C8×D61—21no—
103C2×C8×D61D411yescharacteristic
104C2×C8×D61D411yescharacteristic
105C2×C8×D61D411yescharacteristic
106C2×C8×D61D411yescharacteristic
107C22⋊#92418—21no—
108C22⋊#92418—21no—
109#14519689—21no—
110#14519689—21no—
111#14519689—21no—
112#14519689—21no—
113C2×#41×C61C2×C411yescharacteristic
114C2×M16×C61C2×C411yescharacteristic
115C22×C8×C61C2×C411yescharacteristic
116C22⋊C8×C61—21no—
117C22⋊C8×C61—21no—
118C23×D61—21no—
119C23×D61#4111yescharacteristic
120C22×#6923—24no—
121C22×#6923—22no—
122C22×#6923—22no—
123C22×#6923—42no—
124C22×#6923—41no—
125C22×#6923—41no—
126#41×C61—21no—
127#41×C61—21no—
128#41×C61—21no—
129#41×C61—21no—
130C2×Q8×C61C4211yescharacteristic
131C2×D4×C61—21no—
132C2×D4×C61C4211yescharacteristic
133C22×C4×C61—21no—
134C22×C4×C61C22×C411yescharacteristic
135C2×C22⋊D61—21no—
136C2×C22⋊D61—21no—
137C2×C22⋊D61—21no—
138C22×Dic61—21no—
139C22×Dic61#4111yescharacteristic
140#11758226—21no—
141#11758226—21no—
142#11758226—21no—
143#11758226—21no—
144Q8×D61—21no—
145Q8×D61—21no—
146Q8×D61—21no—
147Q8×D61—21no—
148#11758224—21no—
149#11758224—21no—
150#11758224—21no—
151#11758224—21no—
152#11758224—41no—
153#11758224—41no—
154#11758224—41no—
155#11758224—41no—
156D4×D61—21no—
157D4×D61—21no—
158D4×D61—21no—
159D4×D61—21no—
160D4×D61—41no—
161D4×D61—41no—
162D4×D61—41no—
163D4×D61—41no—
164#11758222—21no—
165#11758222—21no—
166#11758222—21no—
167#11758222—21no—
168#11758222—41no—
169#11758222—41no—
170#11758222—41no—
171#11758222—41no—
172C2×D244—21no—
173C2×D244C4211yescharacteristic
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—41no—
178C2×C4×D61—41no—
179C2×C4×D61—41no—
180C2×C4×D61—41no—
181C2×C4×D61C22×C411yescharacteristic
182C2×C4×D61C22×C411yescharacteristic
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61C2×D411yescharacteristic
185C2×C4×D61C2×D411yescharacteristic
186C2×C4×D61C2×D411yescharacteristic
187C2×C4×D61C2×D411yescharacteristic
188C2×C4×D61C2×D411yescharacteristic
189C2×C4×D61#4111yescharacteristic
190C2×C4×D61#4111yescharacteristic
191C2×C4×D61#4111yescharacteristic
192C2×C4×D61#4111yescharacteristic
193C2×Dic122—21no—
194C2×Dic122C4211yescharacteristic
195C22⋊#6923—22no—
196C22⋊#6923—22no—
197#11758217—22no—
198#11758217—22no—
199C2×#92420—22no—
200C2×#92420—22no—
201C2×#92420—41no—
202C2×#92420—41no—
203C4⋊#6923—22no—
204C4⋊#6923C22⋊C414yes—
205C4×#6923—22no—
206C4×#6923—22no—
207C4×#6923—22no—
208C4×#6923—22no—
209C4×#6923—41no—
210C4×#6923—41no—
211#11758213—22no—
212#11758213C22⋊C414yes—
213D61⋊C8—22no—
214D61⋊C8—22no—
215D61⋊C8—22no—
216D61⋊C8—22no—
217D61⋊C8—41no—
218D61⋊C8—41no—
219M16×C61—21no—
220M16×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61—21no—
224C2×C8×C61C22⋊C411yescharacteristic
225C2×C8×C61C22⋊C411yescharacteristic
226#11758194—21no—
227#11758194—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418C22⋊C411yescharacteristic
232C2×#92418C22⋊C411yescharacteristic
233#11758189—41no—
234#11758189—41no—
235C8×D61—21no—
236C8×D61—21no—
237C8×D61—21no—
238C8×D61—21no—
239C8×D61—21no—
240C8×D61—21no—
241C8×D61—21no—
242C8×D61—21no—
243C8×D61—41no—
244C8×D61—41no—
245C23×C61—21no—
246C23×C61#11711yescharacteristic
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—21no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61C4×D411yescharacteristic
255C22×D61C4×D411yescharacteristic
256C22×D61#12111yescharacteristic
257C22×D61#12311yescharacteristic
258C22×D61#12411yescharacteristic
259C22×D61#12611yescharacteristic
260C2×#6923—24no—
261C2×#6923—24no—
262C2×#6923—42no—
263C2×#6923—44no—
264C2×#6923—44no—
265C2×#6923—42no—
266C2×#6923—42no—
267C2×#6923—42no—
268Q8×C61—21no—
269Q8×C61—21no—
270D4×C61—21no—
271D4×C61—21no—
272D4×C61—41no—
273D4×C61—41no—
274C2×C4×C61—21no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61C2×C4211yescharacteristic
278C2×C4×C61C2×C22⋊C411yescharacteristic
279C2×C4×C61C4×D411yescharacteristic
280C2×C4×C61C4×D411yescharacteristic
281C2×C4×C61C4×D411yescharacteristic
282C2×C4×C61C4×D411yescharacteristic
283C22⋊D61—41no—
284C22⋊D61—41no—
285C22⋊D61—41no—
286C22⋊D61—41no—
287C22⋊D61—41no—
288C22⋊D61—41no—
289C2×Dic61—21no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61C4×D411yescharacteristic
293C2×Dic61C4×D411yescharacteristic
294C2×Dic61#12111yescharacteristic
295C2×Dic61#12311yescharacteristic
296C2×Dic61#12411yescharacteristic
297C2×Dic61#12611yescharacteristic
298D244—21no—
299D244—21no—
300D244—41no—
301D244—41no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61C2×C22⋊C411yescharacteristic
309C4×D61C2×C22⋊C411yescharacteristic
310C4×D61#11711yescharacteristic
311C4×D61#11711yescharacteristic
312C4×D61C4×D411yescharacteristic
313C4×D61C4×D411yescharacteristic
314C4×D61C4×D411yescharacteristic
315C4×D61C4×D411yescharacteristic
316C4×D61#12011yescharacteristic
317C4×D61#12111yescharacteristic
318C4×D61#12111yescharacteristic
319C4×D61#12111yescharacteristic
320C4×D61#12111yescharacteristic
321C4×D61#12311yescharacteristic
322C4×D61#12411yescharacteristic
323C4×D61#12711yescharacteristic
324Dic122—21no—
325Dic122—21no—
326Dic122—41no—
327Dic122—41no—
328#92420—24no—
329#92420—42no—
330C8×C61—21no—
331C8×C61—21no—
332C8×C61—41no—
333#92418—21no—
334#92418—21no—
335#92418—41no—
336#10934—611nomaximal, Sylow
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61C4×C22⋊C411yescharacteristic
343C22×C61#38811yescharacteristic
344C22×C61#38811yescharacteristic
345C2×D61—21no—
346C2×D61—21no—
347C2×D61—22no—
348C2×D61—22no—
349C2×D61—22no—
350C2×D61—22no—
351C2×D61—41no—
352C2×D61—41no—
353C2×D61—41no—
354C2×D61—82no—
355C2×D61—82no—
356C2×D61#38611yescharacteristic
357C2×D61#38811yescharacteristic
358C2×D61#38811yescharacteristic
359C2×D61#39011yescharacteristic
360C2×D61#44312yes—
361C2×D61#44412yes—
362#6923—44no—
363#6923—44no—
364C4×C61—41no—
365C4×C61C4×C22⋊C411yescharacteristic
366C4×C61C4×C22⋊C411yescharacteristic
367C4×C61#38611yescharacteristic
368C4×C61#39011yescharacteristic
369Dic61—41no—
370Dic61#38611yescharacteristic
371Dic61#38811yescharacteristic
372Dic61#38811yescharacteristic
373Dic61#39011yescharacteristic
374C22×#104—611no—
375C2×#416—611no—
376C2×#408—611no—
377C2×#405—611no—
378C2×#341—611no—
379C2×#339—611no—
380C2×#336—611no—
381C2×C61—21no—
382C2×C61—21no—
383C2×C61—81no—
384C2×C61#143711yescharacteristic
385C2×C61#176411yescharacteristic
386C2×C61#176511yescharacteristic
387D61—21no—
388D61—21no—
389D61—81no—
390D61#187612yes—
391D61#192912yes—
392C22×#41—611no—
393C22×M16—611no—
394C22×M16—611no—
395C23×C8—611no—
396C23×C8—611no—
397C2×#117—611no—
398C22×C42—611no—
399C2×#104—612no—
400C2×#104—612no—
401C2×#104—1222no—
402C2×#104—1222no—
403#416—1222no—
404#416—1222no—
405C2×#103—612no—
406C2×#102—612no—
407#408—611no—
408#408—611no—
409#408—611no—
410#408—1221no—
411#408—1221no—
412#408#692311yescharacteristic, complemented
413C2×C22⋊C8—1221no—
414C2×C22⋊C8—1221no—
415#405—1222no—
416#405—1222no—
417C2×#97—1221no—
418C2×C4×C8—1221no—
419#341—1222no—
420#339—1222no—
421#336—1221no—
422#336—1221no—
423C61#1093411yescharacteristic, complemented, Sylow
424C2×#41—611no—
425C2×#41—611no—
426C2×#41—611no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41—1221no—
430C2×#41—1221no—
431C2×#41—1221no—
432C2×#41—1221no—
433C2×#41—1221no—
434C2×#41—1221no—
435C2×#41—1221no—
436C2×#41—1221no—
437C2×#41C2×#692311yescharacteristic
438C22×Q8—611no—
439C22×D4—611no—
440C22×D4—1221no—
441C23×C4—611no—
442C23×C4—1221no—
443C23×C4—1221no—
444C2×M16—612no—
445C2×M16—612no—
446C2×M16—612no—
447C2×M16—611no—
448C2×M16—1221no—
449C2×M16—1221no—
450C2×M16—1221no—
451C2×M16—1221no—
452C2×M16—1221no—
453C2×M16—1221no—
454C2×M16—1221no—
455C2×M16—1221no—
456C2×M16C2×#692311yescharacteristic
457C22×C8—611no—
458C22×C8—611no—
459C22×C8—611no—
460C22×C8—611no—
461C22×C8—611no—
462C22×C8—612no—
463C22×C8—1221no—
464C22×C8—1221no—
465C22×C8—1221no—
466C22×C8—1221no—
467C22×C8—1221no—
468C22×C8—1221no—
469C22×C8—1221no—
470C22×C8—1221no—
471C22×C8—1221no—
472C22×C8—1221no—
473C22×C8—1221no—
474C22×C8—1221no—
475C22×C8C2×#692311yescharacteristic
476#117—612no—
477#117—612no—
478#117—1221no—
479#117—1221no—
480C2×C4⋊C4—612no—
481C2×C22⋊C4—1221no—
482C2×C42—612no—
483C2×C42—1221no—
484C2×C42—1221no—
485C2×C42—1221no—
486C2×C42—1221no—
487C2×C42—1221no—
488C2×C42—1221no—
489#104—1224no—
490#104—1224no—
491#103—1224no—
492#102—1224no—
493C22⋊C8—21no—
494C22⋊C8—21no—
495C22⋊C8—1221no—
496C22⋊C8—1221no—
497C22⋊C8—1221no—
498C22⋊C8—1221no—
499C22⋊C8—1221no—
500C22⋊C8—1221no—
501#97—1224no—
502C4×C8—1224no—
503C24—611no—
504C24—1221no—
505#41—21no—
506#41—21no—
507#41—21no—
508#41—21no—
509#41—1221no—
510#41—1221no—
511#41—1221no—
512#41—1221no—
513#41—1221no—
514#41—1221no—
515#41—1221no—
516#41—1221no—
517#41—1221no—
518#41—1221no—
519#41—1221no—
520#41—1221no—
521#41—2441no—
522#41—2441no—
523#41—2441no—
524#41—2441no—
525#41—2441no—
526#41—2441no—
527#41—2441no—
528#41—2441no—
529C2×Q8—611no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8C4×#692311yescharacteristic
536C2×D4—21no—
537C2×D4—611no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—2441no—
547C2×D4—2441no—
548C2×D4—2441no—
549C2×D4—2441no—
550C2×D4C4×#692311yescharacteristic
551C22×C4—21no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1224no—
571C22×C4—1221no—
572C22×C4—2441no—
573C22×C4—2441no—
574C22×C4—2441no—
575C22×C4—2441no—
576C22×C4—2441no—
577C22×C4—2441no—
578C22×C4—2442no—
579C22×C4C22×#692311yescharacteristic
580M16—21no—
581M16—21no—
582M16—614no—
583M16—1222no—
584M16—1222no—
585M16—1222no—
586M16—1221no—
587M16—1221no—
588M16—2441no—
589M16—2441no—
590C2×C8—21no—
591C2×C8—21no—
592C2×C8—21no—
593C2×C8—611no—
594C2×C8—611no—
595C2×C8—1221no—
596C2×C8—1221no—
597C2×C8—1221no—
598C2×C8—1221no—
599C2×C8—1221no—
600C2×C8—1221no—
601C2×C8—1221no—
602C2×C8—1221no—
603C2×C8—1222no—
604C2×C8—1222no—
605C2×C8—1222no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—1222no—
609C2×C8—1222no—
610C2×C8—1222no—
611C2×C8—1221no—
612C2×C8—2441no—
613C2×C8—2441no—
614C2×C8—2441no—
615C2×C8—2441no—
616C2×C8—2441no—
617C2×C8—2441no—
618C2×C8C22⋊#692311yescharacteristic
619C2×C8C22⋊#692311yescharacteristic
620C4⋊C4—614no—
621C4⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C42—1222no—
625C42—1222no—
626C42—1222no—
627C42—1222no—
628C42—2441no—
629C42—2441no—
630C23—21no—
631C23—611no—
632C23—611no—
633C23—611no—
634C23—611no—
635C23—611no—
636C23—611no—
637C23—1222no—
638C23—1222no—
639C23—1221no—
640C23—2441no—
641C23—2441no—
642C23—2442no—
643C23—2442no—
644C23#1451985611yescharacteristic
645Q8—21no—
646Q8—21no—
647Q8—1221no—
648Q8—1221no—
649Q8—2441no—
650Q8—2441no—
651D4—21no—
652D4—21no—
653D4—41no—
654D4—41no—
655D4—1221no—
656D4—1221no—
657D4—2441no—
658D4—2441no—
659D4—2441no—
660D4—2441no—
661D4—2441no—
662D4—2441no—
663D4—2441no—
664D4—2441no—
665C2×C4—21no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—611no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—611no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—611no—
688C2×C4—611no—
689C2×C4—611no—
690C2×C4—1224no—
691C2×C4—1224no—
692C2×C4—1221no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2441no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4—2442no—
702C2×C4—2444no—
703C2×C4—2444no—
704C2×C4—2442no—
705C2×C4—2441no—
706C2×C4—2441no—
707C2×C4C2×C4×#692311yescharacteristic
708C2×C4C2×C22⋊#692311yescharacteristic
709C2×C4D4×#692311yescharacteristic
710C2×C4D4×#692311yescharacteristic
711C2×C4D4×#692311yescharacteristic
712C2×C4D4×#692311yescharacteristic
713C8—21no—
714C8—21no—
715C8—41no—
716C8—1224no—
717C8—1221no—
718C8—1221no—
719C8—2442no—
720C8—2441no—
721C22—21no—
722C22—21no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—611no—
727C22—611no—
728C22—612no—
729C22—612no—
730C22—611no—
731C22—611no—
732C22—1222no—
733C22—1222no—
734C22—1222no—
735C22—1222no—
736C22—1221no—
737C22—1221no—
738C22—4882no—
739C22—4882no—
740C22—2441no—
741C22—2441no—
742C22—2441no—
743C22C4×C22⋊#692311yescharacteristic
744C22#1684071211yescharacteristic
745C22#1684071211yescharacteristic
746C4—41no—
747C4—611no—
748C4—611no—
749C4—611no—
750C4—611no—
751C4—2444no—
752C4—2444no—
753C4—2441no—
754C4C22⋊C4×#692311yescharacteristic
755C4C22⋊C4×#692311yescharacteristic
756C4#1684071011yescharacteristic
757C4#1684071411yescharacteristic
758C2—21no—
759C2—21no—
760C2—81no—
761C2—612no—
762C2—612no—
763C2—1221no—
764C2—1221no—
765C2—4881no—
766C2#2146100011yescharacteristic
767C2#2146159311yescharacteristic
768C2#2146159711yescharacteristic
subgroupG/H
centerC2×C4C2×C22⋊#6923
commutatorC2×C4×C61C2×C42
FrattiniC22×C4C22×#6923
FittingC61×#408C4
socleC22×C61C4×C22⋊C4
prime radicalC2×#41×D61C22
cosocleC22×C4×D61C23
hypercenter#408#6923
hypocenterC61#10934
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #408

Complements

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

NH ≅ G/Ntype
3. C2×#16840725C2semidirect
4. C2×#16840637C2semidirect
5. C2×#16840634C2semidirect
6. C2×(C2×#6923)⋊C8C2semidirect
12. C2×#14519842C4semidirect
15. C2×#14519841C4semidirect
18. C2×#14519840C4semidirect
19. C2×#14519839C4semidirect
31. #16839730C4semidirect
32. #16839729C4semidirect
33. #16839728C4semidirect
38. C61×#408C4semidirect
412. #408#6923semidirect
423. C61#10934semidirect

Maximal subgroups

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

subgroupindex
C2×D61⋊#1042
C2×#168407522
C2×#168407252
C2×#168406372
C2×#168406342
C2×(C2×#6923)⋊C82
#408×D612
#1093461