Finite Group Databasebeta

← #29700886

Subgroups — #29700886

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#21455172C211yesmaximal, characteristic
2#21454730C211yesmaximal, characteristic, complemented
3#21454728C211yesmaximal, characteristic, complemented
4#21454365C211yesmaximal, characteristic, complemented
5#21454363C211yesmaximal, characteristic, complemented
6#21446645C211yesmaximal, characteristic, complemented
7#21446490C211yesmaximal, characteristic, complemented
8#21446321C211yesmaximal, characteristic, complemented
9#21446319C211yesmaximal, characteristic, complemented
10#21446199C211yesmaximal, characteristic, complemented
11#21446062C211yesmaximal, characteristic, complemented
12#21446056C211yesmaximal, characteristic, complemented
13C4×#14519703C211yesmaximal, characteristic, complemented
14#21445623C211yesmaximal, characteristic, complemented
15C61×#1932C211yesmaximal, characteristic, complemented
16#16840598C2211yescharacteristic
17#16840562C2211yescharacteristic
18#16840562C2211yescharacteristic
19#16840528C2211yescharacteristic
20#16840528C2211yescharacteristic
21#16840528C2211yescharacteristic, complemented
22#16840308C2211yescharacteristic
23C4×#11758222C2211yescharacteristic
24#16840230C2211yescharacteristic
25#16839947C412yescomplemented
26#16839942C412yescomplemented
27#16839937C412yescomplemented
28#16839932C412yescomplemented
29#16839885—22no—
30#16839883—22no—
31#16839880—22no—
32#16839878—22no—
33#16839811C2211yescharacteristic, complemented
34#16839785C2211yescharacteristic, complemented
35#16839780C2211yescharacteristic
36#16839779C2211yescharacteristic
37#16839778C2211yescharacteristic
38#16839777—22no—
39#16839777—22no—
40C2×#14519705C2211yescharacteristic
41C2×#14519705C2211yescharacteristic, complemented
42C2×#14519704C2211yescharacteristic
43C2×#14519703C2211yescharacteristic
44C2×#14519703C2211yescharacteristic
45C2×#14519703C2211yescharacteristic
46C2×#14519703C2211yescharacteristic, complemented
47#104×D61—22no—
48#104×D61—22no—
49#16839735C2211yescharacteristic, complemented
50M16×Dic61C2211yescharacteristic, complemented
51C42×Dic61C2211yescharacteristic, complemented
52#16839534C2211yescharacteristic, complemented
53#16839523C2211yescharacteristic, complemented
54#16839523C2211yescharacteristic, complemented
55#16839521C2211yescharacteristic, complemented
56C61×#430C2211yescharacteristic, complemented
57C61×#421C2211yescharacteristic
58C2×#104×C61C2211yescharacteristic
59C61×#413C2211yescharacteristic
60C4×M16×C61C2211yescharacteristic, complemented
61C61×#344C2211yescharacteristic, complemented
62C61×#339C2211yescharacteristic, complemented
63#14519825C2×C412yes—
64#14519824—21no—
65#14519824—21no—
66#14519823—21no—
67#14519823—21no—
68#14519822—41no—
69#14519822C2×C412yes—
70C2×#11758222—41no—
71C2×#11758222C2311yescharacteristic
72C2×#11758222C2311yescharacteristic
73C2×#11758222C2311yescharacteristic
74#41×D61—22no—
75#41×D61—22no—
76#14519810—21no—
77#14519810—21no—
78#14519810C2×C412yescomplemented
79#14519810C2×C412yescomplemented
80#14519805—21no—
81#14519805—21no—
82#14519805C2×C412yescomplemented
83#14519805C2×C412yescomplemented
84#14519799—22no—
85#14519799—22no—
86#14519785—22no—
87#14519785—22no—
88#14519785—41no—
89#14519783—22no—
90#14519783—22no—
91#14519783—41no—
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94M16×D61—22no—
95M16×D61—22no—
96M16×D61—41no—
97#14519775C2×C411yescharacteristic, complemented
98#14519773C2×C411yescharacteristic, complemented
99#14519766C2×C411yescharacteristic, complemented
100#14519764C2×C411yescharacteristic, complemented
101#14519749—41no—
102C4×Dic122—21no—
103#14519742—21no—
104C4×D244—21no—
105#14519739—21no—
106C4×C22⋊D61—41no—
107C4×C22⋊D61—41no—
108#14519737—41no—
109#14519736C2311yescharacteristic
110#14519734—21no—
111#14519734—21no—
112C2×C4×Dic61—41no—
113C2×C4×Dic61C2311yescharacteristic
114C2×C4×Dic61C2311yescharacteristic
115C42×D61—21no—
116C42×D61—21no—
117#14519713—22no—
118#14519706—41no—
119#14519705—22no—
120#14519705—21no—
121#14519705—21no—
122#14519705D412yescomplemented
123#14519705D412yescomplemented
124#14519704—21no—
125#14519704—21no—
126#14519704—22no—
127#14519703—22no—
128#14519703—21no—
129#14519703—21no—
130#14519703C2×C412yescomplemented
131#14519703C2×C412yescomplemented
132#14519703C2×C412yescomplemented
133#14519703C2×C412yescomplemented
134#14519703D412yescomplemented
135#14519703D412yescomplemented
136#14519691—41no—
137#14519687—21no—
138C8×Dic61—21no—
139C2×#41×C61C2311yescharacteristic
140C2×M16×C61C2311yescharacteristic
141C2×M16×C61C2311yescharacteristic
142C2×M16×C61C2311yescharacteristic
143C2×M16×C61C2311yescharacteristic
144#117×C61C2311yescharacteristic
145C2×C42×C61C2311yescharacteristic
146#108×C61—22no—
147#104×C61—22no—
148#104×C61—21no—
149#104×C61—21no—
150#101×C61C2×C412yescomplemented
151#100×C61C2×C412yescomplemented
152#97×C61—21no—
153C4×C8×C61—21no—
154#41×C61—21no—
155#41×C61—21no—
156#41×C61—21no—
157#41×C61—21no—
158C2×Q8×C61C22×C411yescharacteristic
159C2×D4×C61—21no—
160C2×D4×C61C22×C411yescharacteristic
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—21no—
165C2×C22⋊D61—21no—
166C2×C22⋊D61—21no—
167C2×C22⋊D61—41no—
168C2×C22⋊D61—42no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171#11758226—22no—
172#11758226—22no—
173Q8×D61—22no—
174Q8×D61—22no—
175#11758224—22no—
176#11758224—22no—
177#11758224—42no—
178#11758224—42no—
179D4×D61—22no—
180D4×D61—22no—
181D4×D61—42no—
182D4×D61—42no—
183#11758222—21no—
184#11758222—21no—
185#11758222—21no—
186#11758222—21no—
187#11758222—21no—
188#11758222—21no—
189#11758222—21no—
190#11758222—21no—
191#11758222—41no—
192#11758222—41no—
193#11758222—42no—
194#11758222—42no—
195#11758222C22×C412yes—
196#11758222C22×C412yes—
197#11758222C2×D412yes—
198#11758222C2×D412yes—
199C2×D244—41no—
200C2×D244C22×C411yescharacteristic
201C2×D244#4111yescharacteristic
202C2×D244#4111yescharacteristic
203C2×C4×D61—21no—
204C2×C4×D61—21no—
205C2×C4×D61—21no—
206C2×C4×D61—42no—
207C2×C4×D61—41no—
208C2×C4×D61—41no—
209C2×Dic122—41no—
210C2×Dic122C22×C411yescharacteristic
211C2×Dic122#4111yescharacteristic
212C2×Dic122#4111yescharacteristic
213M16×C61—21no—
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—21no—
217M16×C61—21no—
218M16×C61C22×C412yes—
219M16×C61C22×C412yes—
220M16×C61C2×D412yes—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61—21no—
224C2×C8×C61—21no—
225C4⋊C4×C61—21no—
226C22⋊C4×C61—21no—
227C42×C61—21no—
228C42×C61—21no—
229C42×C61C2×D411yescharacteristic
230C42×C61C2×D411yescharacteristic
231C22⋊Dic61—21no—
232C22⋊Dic61—41no—
233#11758198—41no—
234#11758198—41no—
235#11758198—41no—
236C4⋊Dic61—21no—
237#11758196—41no—
238#11758196—41no—
239#11758196—41no—
240C4×Dic61—21no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—41no—
244C4×Dic61—41no—
245C4×Dic61—44no—
246C4×Dic61C22×C411yescharacteristic
247C4×Dic61C22×C411yescharacteristic
248C4×Dic61C2×D411yescharacteristic
249C4×Dic61C2×D411yescharacteristic
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194C2×D412yes—
254C2×#92418—21no—
255C2×#92418—21no—
256Dic244—22no—
257Dic244—22no—
258D488—22no—
259D488—22no—
260#11758190—22no—
261#11758190—22no—
262#11758190—22no—
263#11758190—22no—
264#11758189—42no—
265#11758189—42no—
266#11758189—42no—
267C8×D61—42no—
268C8×D61—42no—
269C8×D61—42no—
270C23×C61—21no—
271C23×C61H(5,𝔽2)11yescharacteristic
272C22×D61—21no—
273C22×D61—21no—
274C22×D61—21no—
275C22×D61—42no—
276Q8×C61—21no—
277Q8×C61—21no—
278D4×C61—21no—
279D4×C61—21no—
280D4×C61—41no—
281D4×C61—41no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—42no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61C23×C411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61H(5,𝔽2)11yescharacteristic
295C22⋊D61—22no—
296C22⋊D61—22no—
297C22⋊D61—22no—
298C22⋊D61—22no—
299C22⋊D61—42no—
300C22⋊D61—42no—
301C22⋊D61—41no—
302C22⋊D61—41no—
303C22⋊D61—82no—
304C2×Dic61—21no—
305C2×Dic61—21no—
306C2×Dic61—21no—
307C2×Dic61—21no—
308C2×Dic61—21no—
309C2×Dic61—21no—
310C2×Dic61—21no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61—42no—
314C2×Dic61—41no—
315D244—21no—
316D244—21no—
317D244—21no—
318D244—21no—
319D244—42no—
320D244C4×D412yes—
321D244C4×D412yes—
322C4×D61—22no—
323C4×D61—22no—
324C4×D61—22no—
325C4×D61—22no—
326C4×D61—42no—
327C4×D61—42no—
328C4×D61—41no—
329C4×D61—41no—
330C4×D61—82no—
331C4×D61—82no—
332Dic122—21no—
333Dic122—21no—
334Dic122—21no—
335Dic122—21no—
336Dic122—42no—
337Dic122C4×D412yes—
338Dic122C4×D412yes—
339C8×C61—22no—
340C8×C61—22no—
341C8×C61—22no—
342C8×C61—41no—
343#92418—22no—
344#92418—41no—
345#22899—611nomaximal, Sylow
346C22×C61—41no—
347C22×C61—41no—
348C22×C61—81no—
349C22×C61#51811yescharacteristic
350C22×C61#54611yescharacteristic
351C22×C61#54611yescharacteristic
352C2×D61—22no—
353C2×D61—22no—
354C2×D61—41no—
355C2×D61—81no—
356C2×D61—81no—
357C2×D61—81no—
358C2×D61—162no—
359C4×C61—22no—
360C4×C61—41no—
361C4×C61—41no—
362C4×C61—81no—
363C4×C61C2×C4×D411yescharacteristic
364C4×C61C2×C4×D411yescharacteristic
365C4×C61D4211yescharacteristic
366C4×C61#55111yescharacteristic
367Dic61—22no—
368Dic61—22no—
369Dic61—22no—
370Dic61—22no—
371Dic61—41no—
372Dic61—41no—
373Dic61—41no—
374Dic61—81no—
375#3018—611no—
376#2956—611no—
377#2956—611no—
378#2901—611no—
379#2901—611no—
380#1962—611no—
381#1932—611no—
382#1932D6111yescharacteristic, complemented
383#1906—611no—
384#1906—611no—
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—81no—
394C2×C61#235811yescharacteristic
395D61—42no—
396D61—42no—
397D61—81no—
398#585—611no—
399#575—611no—
400#575—611no—
401#568—611no—
402#568—611no—
403#568—611no—
404#532—611no—
405C4×#41—611no—
406C4×#41—611no—
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#430C2×D6111yescharacteristic, complemented
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
434#413C2×D6111yescharacteristic
435#410—611no—
436C4×M16—611no—
437C4×M16C2×D6111yescharacteristic, complemented
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—611no—
456C2×#41—1222no—
457C2×#41—1222no—
458C2×#41—2441no—
459C2×#41C22×D6111yescharacteristic
460#137—612no—
461#137—612no—
462#137—1221no—
463#137—1221no—
464AGL(1,ℤ/8)—612no—
465AGL(1,ℤ/8)—612no—
466AGL(1,ℤ/8)—1221no—
467AGL(1,ℤ/8)—1221no—
468#135—1222no—
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—1222no—
479C2×M16—1222no—
480C2×M16—2441no—
481C2×M16C22×D6111yescharacteristic
482C2×M16C22×D6111yescharacteristic
483C2×M16C22×D6111yescharacteristic
484C2×M16C22×D6111yescharacteristic
485C4⋊Q8—611no—
486#127—611no—
487#124—611no—
488#124—611no—
489#121—2441no—
490C4×Q8—1221no—
491C4×Q8—1221no—
492C4×D4—1221no—
493C4×D4—1221no—
494C4×D4—2441no—
495C4×D4—2441no—
496C4×D4—2441no—
497#117—611no—
498#117—1221no—
499#117—1221no—
500#117C22×D6111yescharacteristic
501C2×C42—611no—
502C2×C42—611no—
503C2×C42—1221no—
504C2×C42—1221no—
505C2×C42—2441no—
506C2×C42C22×D6111yescharacteristic
507#108—22no—
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—1221no—
523#104—1221no—
524#104—1221no—
525#104—1221no—
526#104—1222no—
527#104—1222no—
528#104—1221no—
529#104—1221no—
530#101C4×D6112yescomplemented
531#100C4×D6112yescomplemented
532#99—2441no—
533#97—21no—
534#97—1221no—
535C4×C8—21no—
536C4×C8—1221no—
537#41—21no—
538#41—21no—
539#41—21no—
540#41—21no—
541#41—612no—
542#41—612no—
543#41—612no—
544#41—612no—
545#41—1221no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1222no—
550#41—1222no—
551#41—1222no—
552#41—1222no—
553#41—1221no—
554#41—1221no—
555#41—1221no—
556#41—1221no—
557#41—2442no—
558#41—2442no—
559#41—2441no—
560#41—2441no—
561#41—2442no—
562#41—2442no—
563C2×Q8—611no—
564C2×Q8—611no—
565C2×Q8—611no—
566C2×Q8—1222no—
567C2×Q8—1222no—
568C2×Q8—2441no—
569C2×Q8C2×C4×D6111yescharacteristic
570C2×D4—21no—
571C2×D4—611no—
572C2×D4—611no—
573C2×D4—611no—
574C2×D4—1222no—
575C2×D4—1222no—
576C2×D4—1221no—
577C2×D4—1221no—
578C2×D4—1221no—
579C2×D4—2441no—
580C2×D4—2441no—
581C2×D4—2442no—
582C2×D4—2442no—
583C2×D4—2442no—
584C2×D4C2×C4×D6111yescharacteristic
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—1221no—
590C22×C4—1221no—
591C22×C4—1221no—
592C22×C4—2441no—
593C22×C4—2442no—
594C22×C4—2441no—
595C22×C4C23×D6111yescharacteristic
596Q16—1222no—
597Q16—1222no—
598SD16—1222no—
599SD16—1222no—
600SD16—1222no—
601SD16—1222no—
602D8—1222no—
603D8—1222no—
604M16—21no—
605M16—21no—
606M16—21no—
607M16—21no—
608M16—21no—
609M16—612no—
610M16—1221no—
611M16—1221no—
612M16—1221no—
613M16—2442no—
614M16—2442no—
615M16—2442no—
616M16C2×C4×D6112yes—
617M16C2×C4×D6112yes—
618M16D4×D6112yes—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—21no—
622C2×C8—21no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—2442no—
626C2×C8—2442no—
627C2×C8—2442no—
628C4⋊C4—21no—
629C4⋊C4—1221no—
630C4⋊C4—2441no—
631C4⋊C4—2441no—
632C4⋊C4—2441no—
633C22⋊C4—21no—
634C22⋊C4—1221no—
635C22⋊C4—2441no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C22⋊C4—2441no—
639C42—21no—
640C42—21no—
641C42—611no—
642C42—611no—
643C42—611no—
644C42—611no—
645C42—1221no—
646C42—1221no—
647C42—1221no—
648C42—2441no—
649C42—2441no—
650C42—2444no—
651C42D4×D6111yescharacteristic
652C42D4×D6111yescharacteristic
653C23—21no—
654C23—1221no—
655C23—1221no—
656C23—1221no—
657C23—2442no—
658C23#1451982311yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—612no—
662Q8—612no—
663Q8—1221no—
664Q8—1221no—
665Q8—1221no—
666Q8—1221no—
667Q8—2442no—
668D4—21no—
669D4—21no—
670D4—41no—
671D4—41no—
672D4—612no—
673D4—612no—
674D4—1222no—
675D4—1222no—
676D4—1222no—
677D4—1222no—
678D4—1221no—
679D4—1221no—
680D4—1221no—
681D4—1221no—
682D4—4882no—
683D4—2442no—
684D4—2442no—
685D4—2442no—
686D4—2441no—
687D4—2441no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—1221no—
696C2×C4—1221no—
697C2×C4—1221no—
698C2×C4—1221no—
699C2×C4—1222no—
700C2×C4—1222no—
701C2×C4—1222no—
702C2×C4—1222no—
703C2×C4—1221no—
704C2×C4—1221no—
705C2×C4—1221no—
706C2×C4—4882no—
707C2×C4—4882no—
708C2×C4—2442no—
709C2×C4—2442no—
710C2×C4—2442no—
711C2×C4—2442no—
712C2×C4—2442no—
713C2×C4—2441no—
714C2×C4—2441no—
715C2×C4—2441no—
716C2×C4C22×C4×D6111yescharacteristic
717C2×C4C2×D4×D6111yescharacteristic
718C2×C4C2×D4×D6111yescharacteristic
719C2×C4#41×D6111yescharacteristic
720C2×C4#41×D6111yescharacteristic
721C2×C4#1451982311yescharacteristic
722C8—22no—
723C8—22no—
724C8—22no—
725C8—41no—
726C8—1222no—
727C8—2441no—
728C22—41no—
729C22—41no—
730C22—81no—
731C22—1222no—
732C22—1222no—
733C22—9762no—
734C22—4881no—
735C22—4881no—
736C22—4881no—
737C22—2441no—
738C22#1684023611yescharacteristic
739C22#1684040411yescharacteristic
740C22#1684040511yescharacteristic
741C4—22no—
742C4—41no—
743C4—41no—
744C4—81no—
745C4—1222no—
746C4—1222no—
747C4—1222no—
748C4—1222no—
749C4—4881no—
750C4—2441no—
751C4—2441no—
752C4—2441no—
753C4C4×D4×D6111yescharacteristic
754C4C4×D4×D6111yescharacteristic
755C4#1684039611yescharacteristic
756C4#1684043711yescharacteristic
757C2—21no—
758C2—21no—
759C2—21no—
760C2—81no—
761C2—4881no—
762C2—2442no—
763C2—2442no—
764C2#2144879711yescharacteristic
subgroupG/H
centerC4#16840396
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1932C2
socleC2×C61#2358
prime radical#21455172C2
cosocleC22×C4×C61C24
hypercenter#1932D61
hypocenterC61#22899
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1932

Complements

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

NH ≅ G/Ntype
2. #21454730C2semidirect
3. #21454728C2semidirect
4. #21454365C2semidirect
5. #21454363C2semidirect
6. #21446645C2semidirect
7. #21446490C2semidirect
8. #21446321C2semidirect
9. #21446319C2semidirect
10. #21446199C2semidirect
11. #21446062C2semidirect
12. #21446056C2semidirect
13. C4×#14519703C2semidirect
14. #21445623C2semidirect
15. C61×#1932C2semidirect
21. #16840528C22semidirect
25. #16839947C4semidirect
26. #16839942C4semidirect
27. #16839937C4semidirect
28. #16839932C4semidirect
33. #16839811C22semidirect
34. #16839785C22semidirect
41. C2×#14519705C22semidirect
46. C2×#14519703C22semidirect
49. #16839735C22semidirect
50. M16×Dic61C22semidirect
51. C42×Dic61C22semidirect
52. #16839534C22semidirect
53. #16839523C22semidirect
54. #16839523C22semidirect
55. #16839521C22semidirect
56. C61×#430C22semidirect
60. C4×M16×C61C22semidirect
61. C61×#344C22semidirect
62. C61×#339C22semidirect
78. #14519810C2×C4semidirect
79. #14519810C2×C4semidirect
82. #14519805C2×C4semidirect
83. #14519805C2×C4semidirect
97. #14519775C2×C4semidirect
98. #14519773C2×C4semidirect
99. #14519766C2×C4semidirect
100. #14519764C2×C4semidirect
122. #14519705D4semidirect
123. #14519705D4semidirect
130. #14519703C2×C4semidirect
131. #14519703C2×C4semidirect
132. #14519703C2×C4semidirect
133. #14519703C2×C4semidirect
134. #14519703D4semidirect
135. #14519703D4semidirect
150. #101×C61C2×C4semidirect
151. #100×C61C2×C4semidirect
382. #1932D61semidirect
416. #430C2×D61semidirect
437. C4×M16C2×D61semidirect
440. #344C2×D61semidirect
444. #339C2×D61semidirect
445. C61#22899semidirect
530. #101C4×D61semidirect
531. #100C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214551722
#214547302
#214547282
#214543652
#214543632
#214466452
#214464902
#214463212
#214463192
#214461992
#214460622
#214460562
C4×#145197032
#214456232
C61×#19322
#2289961