Finite Group Databasebeta

← #30615939

Subgroups — #30615939

Order 15616.

1022 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840773C211yesmaximal, characteristic, complemented
2#21462439C211yesmaximal, characteristic
3C2×#16840753C211yesmaximal, characteristic
4#21462382C211yesmaximal, characteristic, complemented
5#21461905C214yesmaximal, complemented
6#21461904C214yesmaximal, complemented
7C2×#16840641C211yesmaximal, characteristic, complemented
8#21461512C211yesmaximal, characteristic, complemented
9#413×D61C211yesmaximal, characteristic
10C2×D61⋊M16C2211yescharacteristic
11C2×D61⋊M16C2211yescharacteristic
12C2×#14519856C2211yescharacteristic
13C22×C4⋊#6923C2211yescharacteristic
14#16840773—22no—
15#16840773C2214yes—
16C2×#14519846—21no—
17C2×#14519845—21no—
18#16840755C2212yes—
19#16840754C2212yes—
20#16840753—22no—
21#16840753—22no—
22#16840753—21no—
23#16840753—21no—
24#16840752—22no—
25C2×#14519840C2212yes—
26C2×#14519839C2212yes—
27#16840728C2214yes—
28#16840725—22no—
29M16×#6923—22no—
30#16840641C2214yes—
31#16840637C2214yes—
32C2×#41×D61C2211yescharacteristic
33C2×M16×D61C2211yescharacteristic
34C2×M16×D61C2211yescharacteristic
35#16839746C411yescharacteristic, complemented
36#16839745C412yescomplemented
37#16839744C411yescharacteristic, complemented
38#16839744C411yescharacteristic, complemented
39#16839743C412yescomplemented
40#101×D61C2212yes—
41#100×D61C2212yes—
42C61×#413C411yescharacteristic, complemented
43C23×#6923—21no—
44C2×#11758213—21no—
45C2×#11758213—21no—
46D61⋊M16—21no—
47D61⋊M16—21no—
48D61⋊M16—21no—
49D61⋊M16—21no—
50D61⋊M16—21no—
51D61⋊M16D412yes—
52D61⋊M16D412yes—
53D61⋊M16C2312yes—
54C2×#11758217—21no—
55C2×#11758217—21no—
56C2×D61⋊C8—21no—
57C2×D61⋊C8C2312yes—
58#14519856—21no—
59#14519856—21no—
60#14519856D412yes—
61#14519856C2312yes—
62C2×C4⋊#6923—21no—
63C2×C4⋊#6923—21no—
64C2×C4⋊#6923—21no—
65C2×C4⋊#6923—21no—
66C2×C4⋊#6923—21no—
67C2×C4⋊#6923D411yescharacteristic
68C2×C4⋊#6923D411yescharacteristic
69C2×C4⋊#6923C2312yes—
70C2×C22⋊#6923—21no—
71C2×C4×#6923—21no—
72#14519846—24no—
73#14519845—24no—
74#14519840—22no—
75#14519840—22no—
76#14519840—24no—
77#14519839—22no—
78#14519839—22no—
79#14519839—24no—
80#14519831—24no—
81C8×#6923—24no—
82C2×#11758226C2×C411yescharacteristic
83C2×#11758222—21no—
84C2×#11758222C2×C411yescharacteristic
85C2×#11758224—21no—
86C2×#11758224C2×C411yescharacteristic
87#41×D61—21no—
88#41×D61—21no—
89#41×D61—21no—
90#41×D61—21no—
91#41×D61—21no—
92#41×D61—21no—
93#41×D61—21no—
94#41×D61—21no—
95C2×Q8×D61C2311yescharacteristic
96C2×D4×D61—21no—
97C2×D4×D61C2311yescharacteristic
98C22×C4×D61—21no—
99C22×C4×D61C2311yescharacteristic
100C2×#11758194C2×C411yescharacteristic
101C2×#11758194C2×C411yescharacteristic
102C2×#11758189—21no—
103C2×#11758189—21no—
104M16×D61—21no—
105M16×D61—21no—
106M16×D61—21no—
107M16×D61—21no—
108M16×D61C2×C412yes—
109M16×D61C2×C412yes—
110M16×D61C2312yes—
111M16×D61C2312yes—
112C2×C8×D61—21no—
113C2×C8×D61—21no—
114#14519696C2×C412yescomplemented
115#14519695C2×C412yescomplemented
116#14519695C2×C412yescomplemented
117#14519694C2×C412yescomplemented
118#14519693C2×C412yescomplemented
119#14519693C2×C412yescomplemented
120C2×#41×C61C2×C411yescharacteristic
121C2×M16×C61C2×C411yescharacteristic
122C2×M16×C61C2×C411yescharacteristic
123#101×C61C2×C412yescomplemented
124#100×C61C2×C412yescomplemented
125C23×D61—21no—
126C23×D61#4111yescharacteristic
127C22×#6923—21no—
128C22×#6923—21no—
129C22×#6923—22no—
130C22×#6923—41no—
131C22×#6923—41no—
132C22×#6923—82no—
133#41×C61—21no—
134#41×C61—21no—
135#41×C61—21no—
136#41×C61—21no—
137C2×Q8×C61C22×C411yescharacteristic
138C2×D4×C61—21no—
139C2×D4×C61C22×C411yescharacteristic
140C22×C4×C61—21no—
141C22×C4×C61C22×C411yescharacteristic
142C2×C22⋊D61—21no—
143C2×C22⋊D61—21no—
144C2×C22⋊D61—21no—
145C22×Dic61—21no—
146C22×Dic61#4111yescharacteristic
147#11758226—21no—
148#11758226—21no—
149#11758226—21no—
150#11758226—21no—
151Q8×D61—21no—
152Q8×D61—21no—
153Q8×D61—21no—
154Q8×D61—21no—
155#11758224—21no—
156#11758224—21no—
157#11758224—21no—
158#11758224—21no—
159#11758224—41no—
160#11758224—41no—
161#11758224—41no—
162#11758224—41no—
163D4×D61—21no—
164D4×D61—21no—
165D4×D61—21no—
166D4×D61—21no—
167D4×D61—41no—
168D4×D61—41no—
169D4×D61—41no—
170D4×D61—41no—
171#11758222—21no—
172#11758222—21no—
173#11758222—21no—
174#11758222—21no—
175#11758222—41no—
176#11758222—41no—
177#11758222—41no—
178#11758222—41no—
179C2×D244—21no—
180C2×D244C22×C411yescharacteristic
181C2×C4×D61—21no—
182C2×C4×D61—21no—
183C2×C4×D61—21no—
184C2×C4×D61—41no—
185C2×C4×D61—41no—
186C2×C4×D61—41no—
187C2×C4×D61—41no—
188C2×C4×D61C22×C411yescharacteristic
189C2×C4×D61C2×D411yescharacteristic
190C2×C4×D61C2×D411yescharacteristic
191C2×C4×D61C2×D411yescharacteristic
192C2×C4×D61C2×D411yescharacteristic
193C2×C4×D61#4111yescharacteristic
194C2×C4×D61#4111yescharacteristic
195C2×C4×D61#4111yescharacteristic
196C2×C4×D61#4111yescharacteristic
197C2×C4×D61#4111yescharacteristic
198C2×C4×D61#4111yescharacteristic
199C2×C4×D61C2411yescharacteristic
200C2×Dic122—21no—
201C2×Dic122C22×C411yescharacteristic
202C22⋊#6923—22no—
203C22⋊#6923—22no—
204#11758217—22no—
205#11758217—22no—
206#11758217—22no—
207#11758217—41no—
208C2×#92420—22no—
209C2×#92420—41no—
210C4⋊#6923—21no—
211C4⋊#6923—21no—
212C4⋊#6923—22no—
213C4⋊#6923—22no—
214C4⋊#6923—41no—
215C4⋊#6923—41no—
216C4⋊#6923C2×D412yes—
217C4⋊#6923C2×D412yes—
218C4×#6923—22no—
219C4×#6923—22no—
220#11758213—22no—
221#11758213—22no—
222#11758213—22no—
223#11758213—41no—
224D61⋊C8—22no—
225D61⋊C8—22no—
226D61⋊C8—41no—
227D61⋊C8C2×D414yes—
228M16×C61—21no—
229M16×C61—21no—
230M16×C61C22×C412yes—
231M16×C61C22×C412yes—
232C2×C8×C61—21no—
233C2×C8×C61—21no—
234#11758194—21no—
235#11758194—21no—
236#11758194C22×C412yes—
237#11758194C22×C412yes—
238C2×#92418—21no—
239C2×#92418—21no—
240#11758189—22no—
241#11758189—22no—
242#11758189—22no—
243#11758189—22no—
244C8×D61—22no—
245C8×D61—22no—
246C8×D61—22no—
247C8×D61—22no—
248C23×C61—21no—
249C23×C61#11711yescharacteristic
250C22×D61—21no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—81no—
256C22×D61—81no—
257C22×D61#11711yescharacteristic
258C22×D61#12111yescharacteristic
259C22×D61#12111yescharacteristic
260C22×D61#12611yescharacteristic
261C22×D61#12611yescharacteristic
262C22×D61C2×#4111yescharacteristic
263C2×#6923—22no—
264C2×#6923—22no—
265C2×#6923—42no—
266C2×#6923—81no—
267C2×#6923—81no—
268C2×#6923—82no—
269C2×#6923—82no—
270C2×#6923—82no—
271Q8×C61—21no—
272Q8×C61—21no—
273D4×C61—21no—
274D4×C61—21no—
275D4×C61—41no—
276D4×C61—41no—
277C2×C4×C61—21no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61#11711yescharacteristic
281C2×C4×C61C4×D411yescharacteristic
282C2×C4×C61C4×D411yescharacteristic
283C2×C4×C61C4×D411yescharacteristic
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C23×C411yescharacteristic
286C22⋊D61—41no—
287C22⋊D61—41no—
288C22⋊D61—41no—
289C22⋊D61—41no—
290C22⋊D61—41no—
291C22⋊D61—41no—
292C2×Dic61—21no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61#11711yescharacteristic
296C2×Dic61#12311yescharacteristic
297C2×Dic61#12311yescharacteristic
298C2×Dic61#12411yescharacteristic
299C2×Dic61#12411yescharacteristic
300C2×Dic61C2×#4111yescharacteristic
301D244—21no—
302D244—21no—
303D244—41no—
304D244—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61—41no—
311C4×D61C4×D411yescharacteristic
312C4×D61C4×D411yescharacteristic
313C4×D61C4×D411yescharacteristic
314C4×D61C4×D411yescharacteristic
315C4×D61#12111yescharacteristic
316C4×D61#12111yescharacteristic
317C4×D61#12311yescharacteristic
318C4×D61#12311yescharacteristic
319C4×D61#12411yescharacteristic
320C4×D61#12411yescharacteristic
321C4×D61#12611yescharacteristic
322C4×D61#12611yescharacteristic
323C4×D61C22×D411yescharacteristic
324C4×D61C22×D411yescharacteristic
325C4×D61C2×#4111yescharacteristic
326C4×D61C2×#4111yescharacteristic
327Dic122—21no—
328Dic122—21no—
329Dic122—41no—
330Dic122—41no—
331#92420—24no—
332#92420—42no—
333C8×C61—22no—
334C8×C61—22no—
335#92418—22no—
336#92418—22no—
337#21076—611nomaximal, Sylow
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—81no—
341C22×C61#38811yescharacteristic
342C22×C61#38811yescharacteristic
343C22×C61C2×#11711yescharacteristic
344C2×D61—21no—
345C2×D61—21no—
346C2×D61—21no—
347C2×D61—21no—
348C2×D61—21no—
349C2×D61—21no—
350C2×D61—41no—
351C2×D61—41no—
352C2×D61—41no—
353C2×D61—41no—
354C2×D61—82no—
355C2×D61—81no—
356C2×D61—81no—
357C2×D61—81no—
358C2×D61#38811yescharacteristic
359C2×D61#38811yescharacteristic
360C2×D61C2×#12111yescharacteristic
361C2×D61C2×#12611yescharacteristic
362#6923—42no—
363#6923—42no—
364#6923—82no—
365C4×C61—41no—
366C4×C61#38811yescharacteristic
367C4×C61#38811yescharacteristic
368C4×C61C2×C4×D411yescharacteristic
369C4×C61C2×C4×D411yescharacteristic
370Dic61—41no—
371Dic61#38811yescharacteristic
372Dic61#38811yescharacteristic
373Dic61C2×#12311yescharacteristic
374Dic61C2×#12411yescharacteristic
375C2×#428—611no—
376#2896—611no—
377C2×#417—611no—
378C2×#413—611no—
379#2873—611no—
380#1931—614no—
381#1930—614no—
382C2×#343—611no—
383#1738—611no—
384C2×C61—21no—
385C2×C61—21no—
386C2×C61—21no—
387C2×C61—81no—
388C2×C61C2×#38811yescharacteristic
389D61—21no—
390D61—21no—
391D61—21no—
392D61—81no—
393D61#306811yescharacteristic
394D61#306911yescharacteristic
395C22×#41—611no—
396C22×M16—611no—
397C22×M16—611no—
398C22×M16—611no—
399C22×M16—611no—
400C2×#117—611no—
401C22×C4⋊C4—611no—
402#428—614no—
403#428—1222no—
404C2×#107—1221no—
405C2×#106—1221no—
406#419—612no—
407#418—612no—
408#417—1221no—
409#417—1221no—
410#417—1222no—
411#417—1222no—
412#416—1222no—
413C2×#103—612no—
414C2×#102—612no—
415#413—611no—
416#413—611no—
417#413—611no—
418#413—612no—
419#413—612no—
420#413#692311yescharacteristic, complemented
421C2×#101—612no—
422C2×#100—612no—
423#405—614no—
424#405—1222no—
425C4×M16—1222no—
426#343—614no—
427#341—614no—
428C61#2107611yescharacteristic, complemented, Sylow
429C2×#41—611no—
430C2×#41—611no—
431C2×#41—611no—
432C2×#41—1221no—
433C2×#41—1221no—
434C2×#41—1221no—
435C2×#41—1221no—
436C2×#41—1221no—
437C2×#41—1221no—
438C2×#41—1221no—
439C2×#41—1221no—
440C2×#41—1221no—
441C2×#41—1221no—
442C2×#41C2×#692311yescharacteristic
443C22×Q8—611no—
444C22×D4—611no—
445C22×D4—1221no—
446C23×C4—611no—
447C23×C4—1221no—
448C23×C4—1221no—
449C2×M16—612no—
450C2×M16—612no—
451C2×M16—611no—
452C2×M16—611no—
453C2×M16—612no—
454C2×M16—612no—
455C2×M16—612no—
456C2×M16—612no—
457C2×M16—612no—
458C2×M16—1221no—
459C2×M16—1221no—
460C2×M16—1221no—
461C2×M16—1221no—
462C2×M16—1221no—
463C2×M16—1221no—
464C2×M16—1221no—
465C2×M16—1221no—
466C2×M16—1221no—
467C2×M16—1221no—
468C2×M16—1221no—
469C2×M16—1221no—
470C2×M16—1221no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16C2×#692311yescharacteristic
474C2×M16C2×#692311yescharacteristic
475C22×C8—612no—
476C22×C8—1221no—
477C22×C8—1221no—
478C22×C8—1221no—
479#117—612no—
480#117—612no—
481#117—1221no—
482#117—1221no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—612no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C42—1221no—
493#107—1224no—
494#106—1224no—
495#103—1222no—
496#103—1222no—
497#103—1224no—
498#102—1222no—
499#102—1222no—
500#102—1224no—
501#101—612no—
502#101—612no—
503#101—612no—
504#101C2×#692312yescomplemented
505#100—612no—
506#100—612no—
507#100—612no—
508#100C2×#692312yescomplemented
509#97—1224no—
510C4×C8—1224no—
511C24—611no—
512C24—1221no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—1221no—
518#41—1221no—
519#41—1221no—
520#41—1221no—
521#41—1221no—
522#41—1221no—
523#41—1221no—
524#41—1221no—
525#41—1221no—
526#41—1221no—
527#41—1221no—
528#41—1221no—
529#41—2441no—
530#41—2441no—
531#41—2441no—
532#41—2441no—
533#41—2441no—
534#41—2441no—
535#41—2441no—
536#41—2441no—
537C2×Q8—611no—
538C2×Q8—1221no—
539C2×Q8—1221no—
540C2×Q8—1221no—
541C2×Q8—1221no—
542C2×Q8—1221no—
543C2×Q8C22×#692311yescharacteristic
544C2×D4—21no—
545C2×D4—611no—
546C2×D4—1221no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—1221no—
550C2×D4—1221no—
551C2×D4—1221no—
552C2×D4—1221no—
553C2×D4—1221no—
554C2×D4—2441no—
555C2×D4—2441no—
556C2×D4—2441no—
557C2×D4—2441no—
558C2×D4C22×#692311yescharacteristic
559C22×C4—21no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—611no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—1221no—
574C22×C4—1221no—
575C22×C4—1221no—
576C22×C4—1221no—
577C22×C4—1221no—
578C22×C4—1221no—
579C22×C4—1222no—
580C22×C4—4882no—
581C22×C4—2441no—
582C22×C4—2441no—
583C22×C4—2441no—
584C22×C4—2441no—
585C22×C4—2441no—
586C22×C4—2441no—
587C22×C4C22×#692311yescharacteristic
588M16—21no—
589M16—21no—
590M16—612no—
591M16—612no—
592M16—1222no—
593M16—1222no—
594M16—1222no—
595M16—1222no—
596M16—1222no—
597M16—1222no—
598M16—1222no—
599M16—1222no—
600M16—1221no—
601M16—1221no—
602M16—1222no—
603M16—1222no—
604M16—2441no—
605M16—2441no—
606M16C22×#692312yes—
607M16C22×#692312yes—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—614no—
611C2×C8—1222no—
612C2×C8—1222no—
613C2×C8—1222no—
614C2×C8—1222no—
615C2×C8—1222no—
616C2×C8—1222no—
617C2×C8—1221no—
618C2×C8—1221no—
619C2×C8—1222no—
620C2×C8—2441no—
621C2×C8—2441no—
622C4⋊C4—612no—
623C4⋊C4—612no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—1222no—
627C4⋊C4—1222no—
628C4⋊C4—2441no—
629C4⋊C4—2441no—
630C22⋊C4—1222no—
631C22⋊C4—1222no—
632C42—1222no—
633C42—1222no—
634C23—21no—
635C23—611no—
636C23—611no—
637C23—611no—
638C23—611no—
639C23—611no—
640C23—611no—
641C23—1221no—
642C23—4881no—
643C23—4881no—
644C23—2441no—
645C23—2441no—
646C23—2441no—
647C23—2441no—
648C23#1451985611yescharacteristic
649Q8—21no—
650Q8—21no—
651Q8—1221no—
652Q8—1221no—
653Q8—2441no—
654Q8—2441no—
655D4—21no—
656D4—21no—
657D4—41no—
658D4—41no—
659D4—1221no—
660D4—1221no—
661D4—2441no—
662D4—2441no—
663D4—2441no—
664D4—2441no—
665D4—2441no—
666D4—2441no—
667D4—2441no—
668D4—2441no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
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—611no—
691C2×C4—611no—
692C2×C4—611no—
693C2×C4—611no—
694C2×C4—1222no—
695C2×C4—1222no—
696C2×C4—1221no—
697C2×C4—4882no—
698C2×C4—4882no—
699C2×C4—4882no—
700C2×C4—4881no—
701C2×C4—4881no—
702C2×C4—2441no—
703C2×C4—2441no—
704C2×C4—2441no—
705C2×C4—2441no—
706C2×C4—2441no—
707C2×C4—2441no—
708C2×C4—2442no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4#1451985611yescharacteristic
712C2×C4D4×#692311yescharacteristic
713C2×C4D4×#692311yescharacteristic
714C2×C4D4×#692311yescharacteristic
715C2×C4D4×#692311yescharacteristic
716C2×C4C23×#692311yescharacteristic
717C8—22no—
718C8—22no—
719C8—1224no—
720C8—1222no—
721C8—1222no—
722C8—2442no—
723C22—41no—
724C22—41no—
725C22—81no—
726C22—611no—
727C22—611no—
728C22—611no—
729C22—611no—
730C22—1221no—
731C22—1221no—
732C22—1221no—
733C22—1221no—
734C22—1221no—
735C22—1221no—
736C22—4881no—
737C22—4881no—
738C22—4881no—
739C22—4882no—
740C22—2441no—
741C22—2441no—
742C22—2441no—
743C22—2441no—
744C22#1684071211yescharacteristic
745C22#1684071211yescharacteristic
746C22C2×#1451985611yescharacteristic
747C4—41no—
748C4—611no—
749C4—611no—
750C4—611no—
751C4—611no—
752C4—4882no—
753C4—2442no—
754C4—2442no—
755C4—2441no—
756C4#1684071211yescharacteristic
757C4#1684071211yescharacteristic
758C4C2×D4×#692311yescharacteristic
759C4C2×D4×#692311yescharacteristic
760C2—21no—
761C2—21no—
762C2—21no—
763C2—81no—
764C2—611no—
765C2—611no—
766C2—1221no—
767C2—1221no—
768C2—1221no—
769C2—4881no—
770C2C2×#1684071211yescharacteristic
subgroupG/H
centerC2C2×#16840712
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#413C4
socleC2×C61C2×#388
prime radicalC2×#41×D61C22
cosocleC2×C4×D61C24
hypercenter#413#6923
hypocenterC61#21076
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C22×C4 ◁ #413

Complements

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

NH ≅ G/Ntype
1. C2×#16840773C2semidirect
4. #21462382C2semidirect
5. #21461905C2semidirect
6. #21461904C2semidirect
7. C2×#16840641C2semidirect
8. #21461512C2semidirect
35. #16839746C4semidirect
36. #16839745C4semidirect
37. #16839744C4semidirect
38. #16839744C4semidirect
39. #16839743C4semidirect
42. C61×#413C4semidirect
114. #14519696C2×C4semidirect
115. #14519695C2×C4semidirect
116. #14519695C2×C4semidirect
117. #14519694C2×C4semidirect
118. #14519693C2×C4semidirect
119. #14519693C2×C4semidirect
123. #101×C61C2×C4semidirect
124. #100×C61C2×C4semidirect
420. #413#6923semidirect
428. C61#21076semidirect
504. #101C2×#6923semidirect
508. #100C2×#6923semidirect

Maximal subgroups

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

subgroupindex
C2×#168407732
#214624392
C2×#168407532
#214623822
#214619052
#214619042
C2×#168406412
#214615122
#413×D612
#2107661