Finite Group Databasebeta

← #29700885

Subgroups — #29700885

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#21454726C211yesmaximal, characteristic, complemented
3#21454364C211yesmaximal, characteristic, complemented
4#21454363C211yesmaximal, characteristic, complemented
5#21446645C211yesmaximal, characteristic, complemented
6#21446488C211yesmaximal, characteristic, complemented
7#21446487C211yesmaximal, characteristic, complemented
8#21446323C211yesmaximal, characteristic, complemented
9#21446322C211yesmaximal, characteristic, complemented
10#21446202C211yesmaximal, characteristic, complemented
11#21446059C211yesmaximal, characteristic, complemented
12#21446056C211yesmaximal, characteristic, complemented
13C4×#14519703C211yesmaximal, characteristic, complemented
14#104×Dic61C211yesmaximal, characteristic, complemented
15C61×#2956C211yesmaximal, characteristic, complemented
16#16840598C2211yescharacteristic
17#16840560C2211yescharacteristic
18#16840528C2211yescharacteristic
19#16840308C2211yescharacteristic
20#41×Dic61C2211yescharacteristic
21C4×#11758222C2211yescharacteristic
22#16839943C412yescomplemented
23#16839938C412yescomplemented
24#16839933C412yescomplemented
25#16839928C412yescomplemented
26#16839882—22no—
27#16839877—22no—
28#16839810C2211yescharacteristic, complemented
29#16839785C2211yescharacteristic, complemented
30#16839779C2211yescharacteristic
31#16839778—22no—
32#16839778C2211yescharacteristic
33#16839778C2211yescharacteristic
34#16839778C2211yescharacteristic
35#16839777—22no—
36C2×#14519705C2211yescharacteristic
37C2×#14519704C2211yescharacteristic
38C2×#14519704C2211yescharacteristic, complemented
39C2×#14519703—22no—
40C2×#14519703C2211yescharacteristic
41C2×#14519703C2211yescharacteristic
42C2×#14519703C2211yescharacteristic
43#104×D61—22no—
44#16839744C2211yescharacteristic
45#16839736C2211yescharacteristic, complemented
46M16×Dic61C2211yescharacteristic, complemented
47C42×Dic61C2211yescharacteristic, complemented
48#16839534C2211yescharacteristic, complemented
49#16839533C2211yescharacteristic, complemented
50#16839523C2211yescharacteristic, complemented
51#16839523C2211yescharacteristic, complemented
52#16839523C2211yescharacteristic, complemented
53#16839522C2211yescharacteristic, complemented
54C61×#575C2211yescharacteristic
55C61×#568C2211yescharacteristic
56C61×#568C2211yescharacteristic, complemented
57C61×#444—22no—
58C61×#443—22no—
59C61×#430C2211yescharacteristic, complemented
60C2×#104×C61C2211yescharacteristic
61C2×#104×C61C2211yescharacteristic, complemented
62C4×M16×C61C2211yescharacteristic, 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—41no—
81#14519783—22no—
82C2×#11758194C2311yescharacteristic
83C2×#11758194C2311yescharacteristic
84M16×D61—22no—
85#14519775C2×C411yescharacteristic, complemented
86#14519773C2×C411yescharacteristic, complemented
87#14519766C2×C411yescharacteristic, complemented
88#14519764C2×C411yescharacteristic, complemented
89#14519749—41no—
90Q8×Dic61—21no—
91C4×Dic122—21no—
92C4×D244—21no—
93D4×Dic61—21no—
94D4×Dic61—41no—
95C4×C22⋊D61—41no—
96C4×C22⋊D61—41no—
97#14519736—21no—
98#14519736C2311yescharacteristic
99#14519736C2311yescharacteristic
100#14519734—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61—41no—
103C2×C4×Dic61C2311yescharacteristic
104C2×C4×Dic61C2311yescharacteristic
105C42×D61—21no—
106#14519712—22no—
107#14519706—41no—
108#14519705—21no—
109#14519705—21no—
110#14519704—22no—
111#14519704—21no—
112#14519704—21no—
113#14519704C2×C412yescomplemented
114#14519704C2×C412yescomplemented
115#14519703—22no—
116#14519703—22no—
117#14519703—22no—
118#14519703—21no—
119#14519703—21no—
120#14519703C2×C412yescomplemented
121#14519703C2×C412yescomplemented
122#14519703D412yescomplemented
123#14519703D412yescomplemented
124#14519695C2×C412yescomplemented
125#14519693C2×C412yescomplemented
126#14519692—41no—
127#14519687—21no—
128C8×Dic61—21no—
129C2×#41×C61C2311yescharacteristic
130C2×#41×C61C2311yescharacteristic
131#137×C61—21no—
132#137×C61C2×C412yescomplemented
133AGL(1,ℤ/8)×C61—21no—
134AGL(1,ℤ/8)×C61C2×C412yescomplemented
135#135×C61—22no—
136#131×C61—22no—
137#131×C61—22no—
138#131×C61—22no—
139#131×C61—41no—
140C2×M16×C61—22no—
141C2×M16×C61—41no—
142C2×M16×C61C2311yescharacteristic
143C2×M16×C61C2311yescharacteristic
144C2×M16×C61C2311yescharacteristic
145C2×M16×C61C2311yescharacteristic
146C2×C42×C61C2311yescharacteristic
147#108×C61—22no—
148#104×C61—21no—
149#104×C61—21no—
150#104×C61D412yescomplemented
151#104×C61D412yescomplemented
152#97×C61—21no—
153C4×C8×C61—21no—
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×C61C2411yescharacteristic
172C2×C22⋊D61—21no—
173C2×C22⋊D61—21no—
174C2×C22⋊D61—41no—
175C2×C22⋊D61—42no—
176C22×Dic61—21no—
177C22×Dic61—21no—
178C22×Dic61—41no—
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×C61—21no—
221M16×C61—21no—
222M16×C61—42no—
223M16×C61—42no—
224M16×C61C22×C412yes—
225M16×C61C2×D412yes—
226M16×C61C2×D412yes—
227C2×C8×C61—21no—
228C2×C8×C61—21no—
229C2×C8×C61—21no—
230C2×C8×C61—21no—
231C2×C8×C61—42no—
232C2×C8×C61—42no—
233C42×C61—21no—
234C42×C61C2×D411yescharacteristic
235C42×C61C2×D411yescharacteristic
236C22⋊Dic61—21no—
237C22⋊Dic61—21no—
238C22⋊Dic61—41no—
239C22⋊Dic61—41no—
240#11758202—22no—
241#11758201—22no—
242#11758200—22no—
243#11758199—22no—
244#11758198—41no—
245#11758198—41no—
246C4⋊Dic61—21no—
247C4⋊Dic61—21no—
248C4⋊Dic61—41no—
249#11758196—41no—
250#11758196—41no—
251C4×Dic61—21no—
252C4×Dic61—21no—
253C4×Dic61—21no—
254C4×Dic61—21no—
255C4×Dic61—41no—
256C4×Dic61—41no—
257C4×Dic61—44no—
258C4×Dic61C22×C411yescharacteristic
259C4×Dic61C22×C411yescharacteristic
260C4×Dic61C2×D411yescharacteristic
261C4×Dic61C2×D411yescharacteristic
262#11758194—21no—
263#11758194—21no—
264#11758194—21no—
265#11758194C22×C412yes—
266C2×#92418—21no—
267C2×#92418—21no—
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×C61C23×C411yescharacteristic
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C22×D411yescharacteristic
300C2×C4×C61C2×#4111yescharacteristic
301C2×C4×C61C2×#4111yescharacteristic
302C2×C4×C61H(5,𝔽2)11yescharacteristic
303C22⋊D61—22no—
304C22⋊D61—22no—
305C22⋊D61—42no—
306C22⋊D61—42no—
307C22⋊D61—41no—
308C22⋊D61—41no—
309C22⋊D61—82no—
310C2×Dic61—21no—
311C2×Dic61—21no—
312C2×Dic61—21no—
313C2×Dic61—21no—
314C2×Dic61—21no—
315C2×Dic61—21no—
316C2×Dic61—42no—
317C2×Dic61—42no—
318C2×Dic61—42no—
319C2×Dic61—41no—
320C2×Dic61—41no—
321C2×Dic61—82no—
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—22no—
341C8×C61—22no—
342C8×C61—41no—
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×C61C2×C4×D411yescharacteristic
364C4×C61C2×C4×D411yescharacteristic
365C4×C61D4211yescharacteristic
366C4×C61#55111yescharacteristic
367Dic61—22no—
368Dic61—22no—
369Dic61—22no—
370Dic61—41no—
371Dic61—41no—
372Dic61—41no—
373Dic61—81no—
374Dic61—81no—
375#3018—611no—
376#2956—611no—
377#2956D6111yescharacteristic, complemented
378#2901—611no—
379#2901—611no—
380#1962—611no—
381#1932—611no—
382#1932—611no—
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—42no—
394C2×C61—81no—
395C2×C61#235811yescharacteristic
396D61—42no—
397D61—81no—
398#585—611no—
399#575—611no—
400#575C2×D6111yescharacteristic
401#568—611no—
402#568C2×D6111yescharacteristic
403#568C2×D6111yescharacteristic, complemented
404#532—611no—
405C4×#41—611no—
406C4×#41—611no—
407#456—612no—
408#455—612no—
409#454—612no—
410#453—612no—
411#444—22no—
412#444—1222no—
413#443—22no—
414#443—1222no—
415#430—611no—
416#430C2×D6111yescharacteristic, complemented
417#423—611no—
418#421—611no—
419#421—611no—
420#421—611no—
421#421—611no—
422#421—1222no—
423#421—1222no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428C2×#104—611no—
429C2×#104—611no—
430C2×#104—1222no—
431C2×#104—1222no—
432C2×#104C2×D6111yescharacteristic
433C2×#104C2×D6111yescharacteristic, complemented
434#413—611no—
435#410—611no—
436C4×M16—611no—
437C4×M16C2×D6111yescharacteristic, complemented
438C43—611no—
439#344—611no—
440#344—611no—
441#339—611no—
442#339—611no—
443#339—611no—
444#339—611no—
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—22no—
471#131—22no—
472#131—22no—
473#131—41no—
474#131—1222no—
475#131—2441no—
476C2×M16—22no—
477C2×M16—41no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—1222no—
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—611no—
499#117—1221no—
500#117—1221no—
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—21no—
511#104—21no—
512#104—612no—
513#104—612no—
514#104—612no—
515#104—612no—
516#104—612no—
517#104—612no—
518#104—1221no—
519#104—1221no—
520#104—1221no—
521#104—1221no—
522#104—1222no—
523#104—1222no—
524#104—1222no—
525#104—1222no—
526#104—1221no—
527#104—1221no—
528#104C22⋊D6112yescomplemented
529#104C22⋊D6112yescomplemented
530#101—612no—
531#100—612no—
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—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#41C2×C22⋊D6112yes—
563C2×Q8—611no—
564C2×Q8—611no—
565C2×Q8—1222no—
566C2×Q8—1222no—
567C2×Q8—2441no—
568C2×Q8C2×C4×D6111yescharacteristic
569C2×Q8#1175822211yescharacteristic
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#1175822211yescharacteristic
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—1221no—
589C22×C4—1221no—
590C22×C4—1221no—
591C22×C4—1221no—
592C22×C4—2442no—
593C22×C4—2441no—
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—21no—
608M16—21no—
609M16—42no—
610M16—42no—
611M16—612no—
612M16—1221no—
613M16—1221no—
614M16—1221no—
615M16—2442no—
616M16C2×C4×D6112yes—
617M16D4×D6112yes—
618M16C2×C22⋊D6112yes—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—21no—
622C2×C8—21no—
623C2×C8—42no—
624C2×C8—42no—
625C2×C8—1221no—
626C2×C8—1221no—
627C2×C8—2442no—
628C4⋊C4—1221no—
629C4⋊C4—1221no—
630C4⋊C4—2441no—
631C4⋊C4—2441no—
632C4⋊C4—2441no—
633C22⋊C4—1221no—
634C22⋊C4—1221no—
635C22⋊C4—2441no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C22⋊C4—2441no—
639C42—21no—
640C42—611no—
641C42—611no—
642C42—611no—
643C42—611no—
644C42—1221no—
645C42—1221no—
646C42—1221no—
647C42—1221no—
648C42—2441no—
649C42—2441no—
650C42—2444no—
651C42C2×C22⋊D6111yescharacteristic
652C42C2×C22⋊D6111yescharacteristic
653C23—21no—
654C23—21no—
655C23—1221no—
656C23—1221no—
657C23—2442no—
658C23#1451982311yescharacteristic
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—612no—
663Q8—1221no—
664Q8—1221no—
665Q8—1221no—
666Q8—2442no—
667Q8C4×C22⋊D6112yes—
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—
687D4C4×C22⋊D6112yes—
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—1221no—
698C2×C4—1221no—
699C2×C4—1221no—
700C2×C4—1222no—
701C2×C4—1222no—
702C2×C4—1221no—
703C2×C4—1221no—
704C2×C4—1221no—
705C2×C4—4882no—
706C2×C4—4882no—
707C2×C4—2442no—
708C2×C4—2442no—
709C2×C4—2442no—
710C2×C4—2442no—
711C2×C4—2442no—
712C2×C4—2441no—
713C2×C4—2441no—
714C2×C4—2441no—
715C2×C4—2441no—
716C2×C4C22×C4×D6111yescharacteristic
717C2×C4C2×D4×D6111yescharacteristic
718C2×C4C22×C22⋊D6111yescharacteristic
719C2×C4#41×D6111yescharacteristic
720C2×C4C2×#1175822211yescharacteristic
721C2×C4#1451982211yescharacteristic
722C8—22no—
723C8—22no—
724C8—22no—
725C8—41no—
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#1684040011yescharacteristic
740C22#1684040811yescharacteristic
741C4—22no—
742C4—22no—
743C4—41no—
744C4—41no—
745C4—1222no—
746C4—1222no—
747C4—1222no—
748C4—4881no—
749C4—4881no—
750C4—2441no—
751C4—2441no—
752C4—2441no—
753C4C4×D4×D6111yescharacteristic
754C4C2×C4×C22⋊D6111yescharacteristic
755C4D4×C22⋊D6111yescharacteristic
756C4#1684044111yescharacteristic
757C2—21no—
758C2—21no—
759C2—21no—
760C2—42no—
761C2—81no—
762C2—4881no—
763C2—2442no—
764C2#2144879611yescharacteristic
subgroupG/H
centerC4D4×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2956C2
socleC2×C61#2358
prime radical#21455165C2
cosocleC22×C4×C61C24
hypercenter#2956D61
hypocenterC61#22899
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2956

Complements

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

NH ≅ G/Ntype
2. #21454726C2semidirect
3. #21454364C2semidirect
4. #21454363C2semidirect
5. #21446645C2semidirect
6. #21446488C2semidirect
7. #21446487C2semidirect
8. #21446323C2semidirect
9. #21446322C2semidirect
10. #21446202C2semidirect
11. #21446059C2semidirect
12. #21446056C2semidirect
13. C4×#14519703C2semidirect
14. #104×Dic61C2semidirect
15. C61×#2956C2semidirect
22. #16839943C4semidirect
23. #16839938C4semidirect
24. #16839933C4semidirect
25. #16839928C4semidirect
28. #16839810C22semidirect
29. #16839785C22semidirect
38. C2×#14519704C22semidirect
45. #16839736C22semidirect
46. M16×Dic61C22semidirect
47. C42×Dic61C22semidirect
48. #16839534C22semidirect
49. #16839533C22semidirect
50. #16839523C22semidirect
51. #16839523C22semidirect
52. #16839523C22semidirect
53. #16839522C22semidirect
56. C61×#568C22semidirect
59. C61×#430C22semidirect
61. C2×#104×C61C22semidirect
62. C4×M16×C61C22semidirect
75. #14519808C2×C4semidirect
77. #14519803C2×C4semidirect
85. #14519775C2×C4semidirect
86. #14519773C2×C4semidirect
87. #14519766C2×C4semidirect
88. #14519764C2×C4semidirect
113. #14519704C2×C4semidirect
114. #14519704C2×C4semidirect
120. #14519703C2×C4semidirect
121. #14519703C2×C4semidirect
122. #14519703D4semidirect
123. #14519703D4semidirect
124. #14519695C2×C4semidirect
125. #14519693C2×C4semidirect
132. #137×C61C2×C4semidirect
134. AGL(1,ℤ/8)×C61C2×C4semidirect
150. #104×C61D4semidirect
151. #104×C61D4semidirect
377. #2956D61semidirect
403. #568C2×D61semidirect
416. #430C2×D61semidirect
433. C2×#104C2×D61semidirect
437. C4×M16C2×D61semidirect
445. C61#22899semidirect
463. #137C4×D61semidirect
467. AGL(1,ℤ/8)C4×D61semidirect
528. #104C22⋊D61semidirect
529. #104C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
#214551652
#214547262
#214543642
#214543632
#214466452
#214464882
#214464872
#214463232
#214463222
#214462022
#214460592
#214460562
C4×#145197032
#104×Dic612
C61×#29562
#2289961