Finite Group Databasebeta

← #29700888

Subgroups — #29700888

Order 15616.

1016 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455165C211yesmaximal, characteristic
2#21454729C211yesmaximal, characteristic, complemented
3#21454725C211yesmaximal, characteristic, complemented
4#21454367C211yesmaximal, characteristic, complemented
5#21454365C211yesmaximal, characteristic, complemented
6#21446645C211yesmaximal, characteristic, complemented
7#21446489C211yesmaximal, characteristic, complemented
8#21446486C211yesmaximal, characteristic, complemented
9#21446317C211yesmaximal, characteristic, complemented
10#21446200C211yesmaximal, characteristic, complemented
11#21446062C211yesmaximal, characteristic, complemented
12#21446057C211yesmaximal, characteristic, complemented
13C4×#14519704C211yesmaximal, characteristic, complemented
14#21445623C211yesmaximal, characteristic, complemented
15C61×#1906C211yesmaximal, characteristic, complemented
16#16840598C2211yescharacteristic
17#16840560C2211yescharacteristic
18#16840529C2211yescharacteristic
19#16840529C2211yescharacteristic, complemented
20#16840528C2211yescharacteristic
21#16840308C2211yescharacteristic
22#16840230C2211yescharacteristic
23#16839943C412yescomplemented
24#16839938C412yescomplemented
25#16839933C412yescomplemented
26#16839928C412yescomplemented
27#16839884—22no—
28#16839881—22no—
29#16839879—22no—
30#16839876—22no—
31#16839811C2211yescharacteristic, complemented
32#16839810C2211yescharacteristic, complemented
33#16839785C2211yescharacteristic, complemented
34#16839780—22no—
35#16839780C2211yescharacteristic
36#16839780C2211yescharacteristic
37#16839780C2211yescharacteristic
38#16839777—22no—
39C2×#14519705—22no—
40C2×#14519705C2211yescharacteristic
41C2×#14519705C2211yescharacteristic
42C2×#14519704C2211yescharacteristic
43C2×#14519704C2211yescharacteristic
44C2×#14519704C2211yescharacteristic, complemented
45C2×#14519703C2211yescharacteristic
46C2×#14519703C2211yescharacteristic
47#104×D61—22no—
48#16839744C2211yescharacteristic
49C4×#11758194C2211yescharacteristic, complemented
50M16×Dic61C2211yescharacteristic, complemented
51C42×Dic61C2211yescharacteristic, complemented
52#16839532C2211yescharacteristic, complemented
53#16839521C2211yescharacteristic, complemented
54#16839521C2211yescharacteristic, complemented
55#16839521C2211yescharacteristic, complemented
56C61×#575C2211yescharacteristic
57C4×#41×C61C2211yescharacteristic
58C61×#421C2211yescharacteristic
59C2×#104×C61C2211yescharacteristic, complemented
60C61×#410C2211yescharacteristic, complemented
61C61×#344C2211yescharacteristic, complemented
62C61×#339C2211yescharacteristic, complemented
63#14519825—21no—
64#14519824—21no—
65#14519824C2×C412yes—
66#14519823—21no—
67#14519823C2×C412yes—
68#14519822—21no—
69#14519822—41no—
70C2×#11758222—22no—
71C2×#11758222C2311yescharacteristic
72C2×#11758222C2311yescharacteristic
73#41×D61—22no—
74#41×D61—41no—
75#14519808C2×C412yescomplemented
76#14519807—21no—
77#14519803C2×C412yescomplemented
78#14519802—21no—
79#14519797—22no—
80#14519785—22no—
81#14519784—22no—
82#14519784—22no—
83#14519784—22no—
84#14519784—41no—
85#14519783—41no—
86C2×#11758194—22no—
87C2×#11758194—41no—
88C2×#11758194C2311yescharacteristic
89C2×#11758194C2311yescharacteristic
90C2×#11758194C2311yescharacteristic
91C2×#11758194C2311yescharacteristic
92M16×D61—22no—
93#14519775C2×C411yescharacteristic, complemented
94#14519773C2×C411yescharacteristic, complemented
95#14519766C2×C411yescharacteristic, complemented
96#14519764C2×C411yescharacteristic, complemented
97#14519749—41no—
98#14519742—21no—
99#14519739—21no—
100C4×C22⋊D61—41no—
101#14519737—41no—
102#14519734—21no—
103C2×C4×Dic61—41no—
104C2×C4×Dic61C2311yescharacteristic
105C2×C4×Dic61C2311yescharacteristic
106C42×D61—21no—
107#14519713—22no—
108#14519712—22no—
109#14519706—41no—
110#14519705—22no—
111#14519705—21no—
112#14519705—21no—
113#14519705—22no—
114#14519705—22no—
115#14519705D412yescomplemented
116#14519705D412yescomplemented
117#14519704—21no—
118#14519704—21no—
119#14519704C2×C412yescomplemented
120#14519704C2×C412yescomplemented
121#14519704D412yescomplemented
122#14519704D412yescomplemented
123#14519703—21no—
124#14519703—21no—
125#14519703C2×C412yescomplemented
126#14519703C2×C412yescomplemented
127#14519695C2×C412yescomplemented
128#14519693C2×C412yescomplemented
129#14519688—21no—
130#14519687—21no—
131C4×#92418—21no—
132C8×Dic61—21no—
133C2×#41×C61C2311yescharacteristic
134C2×#41×C61C2311yescharacteristic
135#137×C61—21no—
136#137×C61C2×C412yescomplemented
137AGL(1,ℤ/8)×C61—21no—
138AGL(1,ℤ/8)×C61C2×C412yescomplemented
139#135×C61—22no—
140C2×M16×C61C2311yescharacteristic
141C2×M16×C61C2311yescharacteristic
142C4×Q8×C61—21no—
143C4×D4×C61—21no—
144C4×D4×C61—41no—
145#117×C61—21no—
146#117×C61C2311yescharacteristic
147#117×C61C2311yescharacteristic
148C2×C42×C61—21no—
149C2×C42×C61C2311yescharacteristic
150#104×C61—22no—
151#104×C61—21no—
152#104×C61—21no—
153#99×C61—41no—
154#41×C61—21no—
155#41×C61—21no—
156#41×C61—21no—
157#41×C61—21no—
158#41×C61—21no—
159#41×C61—21no—
160#41×C61C22×C412yes—
161#41×C61C2×D412yes—
162C2×Q8×C61C22×C411yescharacteristic
163C2×Q8×C61#4111yescharacteristic
164C2×D4×C61—21no—
165C2×D4×C61—21no—
166C2×D4×C61C22×C411yescharacteristic
167C2×D4×C61#4111yescharacteristic
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—41no—
172C22×C4×C61C2411yescharacteristic
173C2×C22⋊D61—21no—
174C2×C22⋊D61—21no—
175C2×C22⋊D61—41no—
176C2×C22⋊D61—42no—
177C22×Dic61—21no—
178C22×Dic61—21no—
179#11758226—22no—
180#11758226—41no—
181Q8×D61—22no—
182Q8×D61—41no—
183#11758224—22no—
184#11758224—41no—
185#11758224—42no—
186#11758224—42no—
187D4×D61—22no—
188D4×D61—41no—
189D4×D61—42no—
190D4×D61—42no—
191#11758222—21no—
192#11758222—21no—
193#11758222—21no—
194#11758222—21no—
195#11758222—21no—
196#11758222—21no—
197#11758222—22no—
198#11758222—22no—
199#11758222—42no—
200#11758222—42no—
201#11758222C22×C412yes—
202#11758222C2×D412yes—
203C2×D244—22no—
204C2×D244C22×C411yescharacteristic
205C2×D244#4111yescharacteristic
206C2×C4×D61—21no—
207C2×C4×D61—21no—
208C2×C4×D61—42no—
209C2×C4×D61—41no—
210C2×Dic122—22no—
211C2×Dic122C22×C411yescharacteristic
212C2×Dic122#4111yescharacteristic
213Q16×C61—22no—
214SD16×C61—22no—
215SD16×C61—22no—
216D8×C61—22no—
217M16×C61—21no—
218M16×C61—21no—
219M16×C61—21no—
220M16×C61C22×C412yes—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—41no—
226C22⋊C4×C61—21no—
227C22⋊C4×C61—21no—
228C22⋊C4×C61—41no—
229C42×C61—21no—
230C42×C61—21no—
231C42×C61—21no—
232C42×C61—41no—
233C42×C61C2×D411yescharacteristic
234C42×C61C2×D411yescharacteristic
235C22⋊Dic61—41no—
236#11758202—22no—
237#11758201—22no—
238#11758200—22no—
239#11758199—22no—
240#11758198—41no—
241#11758198—41no—
242#11758196—41no—
243#11758196—41no—
244C4×Dic61—21no—
245C4×Dic61—21no—
246C4×Dic61—41no—
247C4×Dic61—44no—
248C4×Dic61C22×C411yescharacteristic
249C4×Dic61C22×C411yescharacteristic
250C4×Dic61C2×D411yescharacteristic
251C4×Dic61C2×D411yescharacteristic
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—21no—
257#11758194—42no—
258#11758194—42no—
259#11758194C22×C412yes—
260#11758194C2×D412yes—
261#11758194C2×D412yes—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—42no—
267C2×#92418—42no—
268#11758189—42no—
269C8×D61—42no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61H(5,𝔽2)11yescharacteristic
273C22×D61—21no—
274C22×D61—21no—
275C22×D61—42no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61—21no—
279Q8×C61C4×D412yes—
280D4×C61—22no—
281D4×C61—22no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—41no—
286D4×C61—41no—
287D4×C61C4×D412yes—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—22no—
291C2×C4×C61—22no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—42no—
295C2×C4×C61—41no—
296C2×C4×C61—41no—
297C2×C4×C61—41no—
298C2×C4×C61—41no—
299C2×C4×C61—82no—
300C2×C4×C61C23×C411yescharacteristic
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C22×D411yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C2×C4×C61H(5,𝔽2)11yescharacteristic
306C22⋊D61—22no—
307C22⋊D61—22no—
308C22⋊D61—42no—
309C22⋊D61—42no—
310C22⋊D61—41no—
311C22⋊D61—41no—
312C22⋊D61—82no—
313C2×Dic61—21no—
314C2×Dic61—21no—
315C2×Dic61—21no—
316C2×Dic61—21no—
317C2×Dic61—21no—
318C2×Dic61—21no—
319C2×Dic61—42no—
320C2×Dic61—42no—
321C2×Dic61—42no—
322D244—21no—
323D244—21no—
324D244—21no—
325D244—42no—
326D244C4×D412yes—
327C4×D61—22no—
328C4×D61—22no—
329C4×D61—42no—
330C4×D61—42no—
331C4×D61—41no—
332C4×D61—41no—
333C4×D61—82no—
334Dic122—21no—
335Dic122—21no—
336Dic122—21no—
337Dic122—42no—
338Dic122C4×D412yes—
339C8×C61—22no—
340C8×C61—41no—
341#92418—22no—
342#92418—22no—
343#92418—22no—
344#92418—41no—
345#22899—611nomaximal, Sylow
346C22×C61—22no—
347C22×C61—41no—
348C22×C61—41no—
349C22×C61—81no—
350C22×C61—81no—
351C22×C61#51811yescharacteristic
352C22×C61#54611yescharacteristic
353C22×C61#54611yescharacteristic
354C2×D61—22no—
355C2×D61—41no—
356C2×D61—81no—
357C2×D61—81no—
358C2×D61—162no—
359C4×C61—22no—
360C4×C61—22no—
361C4×C61—41no—
362C4×C61—41no—
363C4×C61—81no—
364C4×C61—81no—
365C4×C61C2×C4×D411yescharacteristic
366C4×C61C2×C4×D411yescharacteristic
367C4×C61D4211yescharacteristic
368C4×C61#55111yescharacteristic
369Dic61—22no—
370Dic61—22no—
371Dic61—22no—
372Dic61—41no—
373Dic61—41no—
374Dic61—41no—
375#3018—611no—
376#2956—611no—
377#2956—611no—
378#2901—611no—
379#2901—611no—
380#1962—611no—
381#1932—611no—
382#1932—611no—
383#1906—611no—
384#1906D6111yescharacteristic, complemented
385#1884—611no—
386#1861—611no—
387#1861—611no—
388C4×#104—611no—
389C4×#104—611no—
390C2×C61—21no—
391C2×C61—21no—
392C2×C61—21no—
393C2×C61—42no—
394C2×C61—81no—
395C2×C61#235811yescharacteristic
396D61—42no—
397D61—81no—
398#585—611no—
399#575—611no—
400#575C2×D6111yescharacteristic
401#568—611no—
402#568—611no—
403#568—611no—
404#532—611no—
405C4×#41—611no—
406C4×#41C2×D6111yescharacteristic
407#456—612no—
408#455—612no—
409#454—612no—
410#453—612no—
411#444—1222no—
412#444—1222no—
413#443—1222no—
414#443—1222no—
415#430—611no—
416#430—611no—
417#423—611no—
418#421—611no—
419#421—611no—
420#421—611no—
421#421—1222no—
422#421—1222no—
423#421C2×D6111yescharacteristic
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428C2×#104—611no—
429C2×#104—611no—
430C2×#104—611no—
431C2×#104—1222no—
432C2×#104—1222no—
433C2×#104C2×D6111yescharacteristic, complemented
434#413—611no—
435#410C2×D6111yescharacteristic, complemented
436C4×M16—611no—
437C4×M16—611no—
438C43—611no—
439#344—611no—
440#344C2×D6111yescharacteristic, complemented
441#339—611no—
442#339—611no—
443#339—611no—
444#339C2×D6111yescharacteristic, complemented
445C61#2289911yescharacteristic, complemented, Sylow
4462−1+4—612no—
4472−1+4—1221no—
4482−1+4—1221no—
449H(5,𝔽2)—612no—
450H(5,𝔽2)—1221no—
451H(5,𝔽2)—1221no—
452H(5,𝔽2)—2441no—
453C2×#41—611no—
454C2×#41—611no—
455C2×#41—1222no—
456C2×#41—1222no—
457C2×#41—2441no—
458C2×#41C22×D6111yescharacteristic
459C2×#41C22×D6111yescharacteristic
460#137—21no—
461#137—612no—
462#137—1221no—
463#137C4×D6112yescomplemented
464AGL(1,ℤ/8)—21no—
465AGL(1,ℤ/8)—612no—
466AGL(1,ℤ/8)—1221no—
467AGL(1,ℤ/8)C4×D6112yescomplemented
468#135—22no—
469#135—1222no—
470#131—1222no—
471#131—1222no—
472#131—1222no—
473#131—1222no—
474#131—2441no—
475#131—2441no—
476C2×M16—611no—
477C2×M16—611no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—1222no—
481C2×M16—1222no—
482C2×M16—2441no—
483C2×M16C22×D6111yescharacteristic
484C2×M16C22×D6111yescharacteristic
485C4⋊Q8—611no—
486#127—611no—
487#124—611no—
488#124—611no—
489#121—2441no—
490C4×Q8—21no—
491C4×Q8—1221no—
492C4×D4—21no—
493C4×D4—41no—
494C4×D4—1221no—
495C4×D4—2441no—
496C4×D4—2441no—
497#117—21no—
498#117—1221no—
499#117C22×D6111yescharacteristic
500#117C22×D6111yescharacteristic
501C2×C42—21no—
502C2×C42—611no—
503C2×C42—611no—
504C2×C42—1221no—
505C2×C42—2441no—
506C2×C42C22×D6111yescharacteristic
507#108—1222no—
508#108—1222no—
509C4⋊C8—2441no—
510#104—22no—
511#104—21no—
512#104—21no—
513#104—612no—
514#104—612no—
515#104—612no—
516#104—612no—
517#104—612no—
518#104—612no—
519#104—612no—
520#104—612no—
521#104—1222no—
522#104—1222no—
523#104—1222no—
524#104—1221no—
525#104—1221no—
526#104—1221no—
527#104—1221no—
528#104—1221no—
529#104—1221no—
530#101—612no—
531#100—612no—
532#99—41no—
533#97—1221no—
534#97—1221no—
535C4×C8—1221no—
536C4×C8—1221no—
537#41—21no—
538#41—21no—
539#41—21no—
540#41—21no—
541#41—21no—
542#41—21no—
543#41—612no—
544#41—612no—
545#41—1222no—
546#41—1222no—
547#41—1221no—
548#41—1221no—
549#41—1222no—
550#41—1222no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41—1221no—
555#41—2442no—
556#41—2442no—
557#41—2442no—
558#41—2442no—
559#41—2441no—
560#41—2441no—
561#41C2×C4×D6112yes—
562#41D4×D6112yes—
563C2×Q8—611no—
564C2×Q8—611no—
565C2×Q8—1222no—
566C2×Q8—1222no—
567C2×Q8—2441no—
568C2×Q8C2×C4×D6111yescharacteristic
569C2×Q8#1175822411yescharacteristic
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—611no—
573C2×D4—611no—
574C2×D4—1222no—
575C2×D4—1221no—
576C2×D4—1222no—
577C2×D4—1221no—
578C2×D4—2441no—
579C2×D4—2442no—
580C2×D4—2441no—
581C2×D4—2442no—
582C2×D4—2442no—
583C2×D4C2×C4×D6111yescharacteristic
584C2×D4#1175822411yescharacteristic
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—41no—
589C22×C4—1221no—
590C22×C4—1221no—
591C22×C4—1221no—
592C22×C4—1221no—
593C22×C4—2442no—
594C22×C4—2441no—
595C22×C4C23×D6111yescharacteristic
596Q16—22no—
597Q16—1222no—
598SD16—22no—
599SD16—22no—
600SD16—1222no—
601SD16—1222no—
602D8—22no—
603D8—1222no—
604M16—21no—
605M16—21no—
606M16—21no—
607M16—612no—
608M16—612no—
609M16—612no—
610M16—1221no—
611M16—1221no—
612M16—1221no—
613M16—1221no—
614M16—1221no—
615M16—2442no—
616M16—2442no—
617M16—2442no—
618M16C2×C4×D6112yes—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—1221no—
622C2×C8—1221no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—2442no—
626C2×C8—2442no—
627C2×C8—2442no—
628C4⋊C4—21no—
629C4⋊C4—21no—
630C4⋊C4—41no—
631C4⋊C4—2441no—
632C4⋊C4—2441no—
633C22⋊C4—21no—
634C22⋊C4—21no—
635C22⋊C4—41no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C22⋊C4—2441no—
639C42—21no—
640C42—21no—
641C42—21no—
642C42—41no—
643C42—611no—
644C42—611no—
645C42—611no—
646C42—611no—
647C42—1221no—
648C42—1221no—
649C42—2441no—
650C42—2444no—
651C42D4×D6111yescharacteristic
652C42D4×D6111yescharacteristic
653C23—21no—
654C23—21no—
655C23—1221no—
656C23—1221no—
657C23—2442no—
658C23#1451982211yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—612no—
663Q8—1221no—
664Q8—1221no—
665Q8—1221no—
666Q8—2442no—
667Q8#1451973712yes—
668D4—22no—
669D4—22no—
670D4—21no—
671D4—21no—
672D4—21no—
673D4—41no—
674D4—41no—
675D4—612no—
676D4—1222no—
677D4—1222no—
678D4—1221no—
679D4—1221no—
680D4—1221no—
681D4—4882no—
682D4—2442no—
683D4—2442no—
684D4—2442no—
685D4—2441no—
686D4—2441no—
687D4#1451973712yes—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—82no—
700C2×C4—1221no—
701C2×C4—1221no—
702C2×C4—1221no—
703C2×C4—1222no—
704C2×C4—1222no—
705C2×C4—1221no—
706C2×C4—1221no—
707C2×C4—1221no—
708C2×C4—4882no—
709C2×C4—2442no—
710C2×C4—2442no—
711C2×C4—2442no—
712C2×C4—2442no—
713C2×C4—2442no—
714C2×C4—2441no—
715C2×C4—2441no—
716C2×C4C22×C4×D6111yescharacteristic
717C2×C4C2×D4×D6111yescharacteristic
718C2×C4C2×D4×D6111yescharacteristic
719C2×C4#41×D6111yescharacteristic
720C2×C4C2×#1175822411yescharacteristic
721C2×C4#1451982311yescharacteristic
722C8—22no—
723C8—41no—
724C8—1222no—
725C8—1222no—
726C8—1222no—
727C8—2441no—
728C22—22no—
729C22—41no—
730C22—41no—
731C22—81no—
732C22—81no—
733C22—1222no—
734C22—9762no—
735C22—4881no—
736C22—4881no—
737C22—2441no—
738C22#1684023411yescharacteristic
739C22#1684039911yescharacteristic
740C22#1684040111yescharacteristic
741C4—22no—
742C4—22no—
743C4—41no—
744C4—41no—
745C4—81no—
746C4—81no—
747C4—1222no—
748C4—1222no—
749C4—1222no—
750C4—2441no—
751C4—2441no—
752C4—2441no—
753C4C4×D4×D6111yescharacteristic
754C4C2×#1451973711yescharacteristic
755C4#1684039611yescharacteristic
756C4#1684043511yescharacteristic
757C2—21no—
758C2—21no—
759C2—21no—
760C2—42no—
761C2—81no—
762C2—4881no—
763C2—2442no—
764C2#2144879911yescharacteristic
subgroupG/H
centerC4#16840396
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1906C2
socleC2×C61#2358
prime radical#21455165C2
cosocleC22×C4×C61C24
hypercenter#1906D61
hypocenterC61#22899
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1906

Complements

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

NH ≅ G/Ntype
2. #21454729C2semidirect
3. #21454725C2semidirect
4. #21454367C2semidirect
5. #21454365C2semidirect
6. #21446645C2semidirect
7. #21446489C2semidirect
8. #21446486C2semidirect
9. #21446317C2semidirect
10. #21446200C2semidirect
11. #21446062C2semidirect
12. #21446057C2semidirect
13. C4×#14519704C2semidirect
14. #21445623C2semidirect
15. C61×#1906C2semidirect
19. #16840529C22semidirect
23. #16839943C4semidirect
24. #16839938C4semidirect
25. #16839933C4semidirect
26. #16839928C4semidirect
31. #16839811C22semidirect
32. #16839810C22semidirect
33. #16839785C22semidirect
44. C2×#14519704C22semidirect
49. C4×#11758194C22semidirect
50. M16×Dic61C22semidirect
51. C42×Dic61C22semidirect
52. #16839532C22semidirect
53. #16839521C22semidirect
54. #16839521C22semidirect
55. #16839521C22semidirect
59. C2×#104×C61C22semidirect
60. C61×#410C22semidirect
61. C61×#344C22semidirect
62. C61×#339C22semidirect
75. #14519808C2×C4semidirect
77. #14519803C2×C4semidirect
93. #14519775C2×C4semidirect
94. #14519773C2×C4semidirect
95. #14519766C2×C4semidirect
96. #14519764C2×C4semidirect
115. #14519705D4semidirect
116. #14519705D4semidirect
119. #14519704C2×C4semidirect
120. #14519704C2×C4semidirect
121. #14519704D4semidirect
122. #14519704D4semidirect
125. #14519703C2×C4semidirect
126. #14519703C2×C4semidirect
127. #14519695C2×C4semidirect
128. #14519693C2×C4semidirect
136. #137×C61C2×C4semidirect
138. AGL(1,ℤ/8)×C61C2×C4semidirect
384. #1906D61semidirect
433. C2×#104C2×D61semidirect
435. #410C2×D61semidirect
440. #344C2×D61semidirect
444. #339C2×D61semidirect
445. C61#22899semidirect
463. #137C4×D61semidirect
467. AGL(1,ℤ/8)C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214551652
#214547292
#214547252
#214543672
#214543652
#214466452
#214464892
#214464862
#214463172
#214462002
#214460622
#214460572
C4×#145197042
#214456232
C61×#19062
#2289961