Finite Group Databasebeta

← #29700875

Subgroups — #29700875

Order 15616.

996 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455170C211yesmaximal, characteristic
2#21454728C211yesmaximal, characteristic, complemented
3#21454726C211yesmaximal, characteristic, complemented
4#21454365C211yesmaximal, characteristic, complemented
5#21454364C211yesmaximal, characteristic, complemented
6#21446650C211yesmaximal, characteristic, complemented
7#21446487C211yesmaximal, characteristic, complemented
8#21446486C211yesmaximal, characteristic, complemented
9#21446321C211yesmaximal, characteristic, complemented
10#21446318C211yesmaximal, characteristic, complemented
11#21446201C211yesmaximal, characteristic, complemented
12#21446058C211yesmaximal, characteristic, complemented
13#21445631C211yesmaximal, characteristic, complemented
14#21445628C211yesmaximal, characteristic, complemented
15C61×#1861C211yesmaximal, characteristic, complemented
16#16840598C2211yescharacteristic
17#16840562C2211yescharacteristic
18#16840560C2211yescharacteristic
19#16840528C2211yescharacteristic
20#16840528C2211yescharacteristic, complemented
21#16840312C2211yescharacteristic
22#41×Dic61C2211yescharacteristic
23#16840230C2211yescharacteristic
24#16839946C412yescomplemented
25#16839941C412yescomplemented
26#16839936C412yescomplemented
27#16839931C412yescomplemented
28#16839883—22no—
29#16839882—22no—
30#16839878—22no—
31#16839877—22no—
32#16839810C2211yescharacteristic, complemented
33#16839780C2211yescharacteristic
34#16839778—22no—
35#16839778C2211yescharacteristic
36#16839778C2211yescharacteristic
37#16839777—22no—
38C2×#14519705C2211yescharacteristic
39C2×#14519704C2211yescharacteristic
40C2×#14519703—22no—
41C2×#14519703C2211yescharacteristic
42C2×#14519703C2211yescharacteristic
43C2×#14519703C2211yescharacteristic
44C2×#14519703C2211yescharacteristic, complemented
45C2×#14519703C2211yescharacteristic, complemented
46#104×D61—22no—
47#16839744C2211yescharacteristic
48#16839735C2211yescharacteristic, complemented
49M16×Dic61C2211yescharacteristic, complemented
50M16×Dic61C2211yescharacteristic, complemented
51#16839608C2211yescharacteristic, complemented
52#16839533C2211yescharacteristic, complemented
53#16839523C2211yescharacteristic, complemented
54#16839522C2211yescharacteristic, complemented
55#16839521C2211yescharacteristic, complemented
56C61×#568C2211yescharacteristic
57C61×#430C2211yescharacteristic, complemented
58C61×#423C2211yescharacteristic, complemented
59C61×#421C2211yescharacteristic
60C2×#104×C61C2211yescharacteristic
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
73C2×#11758222C2311yescharacteristic
74#41×D61—22no—
75#41×D61—41no—
76#14519810—21no—
77#14519810C2×C412yescomplemented
78#14519808—21no—
79#14519807C2×C412yescomplemented
80#14519805—21no—
81#14519805C2×C412yescomplemented
82#14519803—21no—
83#14519802C2×C412yescomplemented
84#14519799—22no—
85#14519797—22no—
86#14519785—22no—
87#14519785—22no—
88#14519783—22no—
89#14519783—41no—
90C2×#11758194C2311yescharacteristic
91C2×#11758194C2311yescharacteristic
92M16×D61—22no—
93M16×D61—41no—
94#14519777C2×C411yescharacteristic, complemented
95#14519774C2×C411yescharacteristic, complemented
96#14519765C2×C411yescharacteristic, complemented
97#14519765C2×C411yescharacteristic, complemented
98#14519751—41no—
99Q8×Dic61—21no—
100#14519742—21no—
101C4×D244—41no—
102D4×Dic61—21no—
103D4×Dic61—41no—
104#14519739—21no—
105#14519737—41no—
106#14519736—21no—
107#14519736C2311yescharacteristic
108#14519734—21no—
109C2×C4×Dic61—21no—
110C2×C4×Dic61C2311yescharacteristic
111C2×C4×Dic61C2311yescharacteristic
112C42×D61—21no—
113#14519712—22no—
114#14519705—22no—
115#14519705C2×C412yescomplemented
116#14519705C2×C412yescomplemented
117#14519704D412yescomplemented
118#14519704D412yescomplemented
119#14519703—22no—
120#14519703—22no—
121#14519703—21no—
122#14519703—21no—
123#14519703—21no—
124#14519703—21no—
125#14519703—21no—
126#14519703—21no—
127#14519703—21no—
128#14519703—21no—
129#14519703D412yescomplemented
130#14519703D412yescomplemented
131#14519695C2×C412yescomplemented
132#14519693C2×C412yescomplemented
133#14519691—41no—
134#14519687—21no—
135#14519687—21no—
136C8×Dic61—21no—
137C8×Dic61—21no—
138#14519684—41no—
139C2×#41×C61C2311yescharacteristic
140#131×C61—22no—
141#131×C61—41no—
142C2×M16×C61—22no—
143C2×M16×C61C2311yescharacteristic
144C2×M16×C61C2311yescharacteristic
145C2×M16×C61C2311yescharacteristic
146C2×M16×C61C2311yescharacteristic
147#117×C61C2311yescharacteristic
148C2×C42×C61C2311yescharacteristic
149#108×C61—22no—
150C4⋊C8×C61—41no—
151#104×C61—22no—
152#104×C61C2×C412yescomplemented
153#104×C61C2×C412yescomplemented
154#41×C61—21no—
155#41×C61—21no—
156#41×C61C22×C412yes—
157#41×C61C2×D412yes—
158C2×Q8×C61#4111yescharacteristic
159C2×D4×C61—21no—
160C2×D4×C61#4111yescharacteristic
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—42no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—41no—
171#11758226—22no—
172#11758226—41no—
173Q8×D61—22no—
174Q8×D61—41no—
175#11758224—22no—
176#11758224—41no—
177#11758224—42no—
178#11758224—42no—
179D4×D61—22no—
180D4×D61—41no—
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—21no—
192#11758222—21no—
193#11758222—22no—
194#11758222—22no—
195#11758222—42no—
196#11758222—42no—
197#11758222C22×C412yes—
198#11758222C2×D412yes—
199C2×D244—22no—
200C2×D244—41no—
201C2×D244C22×C411yescharacteristic
202C2×D244C22×C411yescharacteristic
203C2×D244#4111yescharacteristic
204C2×C4×D61—21no—
205C2×C4×D61—21no—
206C2×C4×D61—21no—
207C2×C4×D61—42no—
208C2×C4×D61—41no—
209C2×Dic122—22no—
210C2×Dic122C22×C411yescharacteristic
211C2×Dic122C22×C411yescharacteristic
212C2×Dic122#4111yescharacteristic
213M16×C61—21no—
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—21no—
217M16×C61—21no—
218M16×C61—21no—
219M16×C61—42no—
220M16×C61C22×C412yes—
221M16×C61C2×D412yes—
222C2×C8×C61—21no—
223C2×C8×C61—21no—
224C2×C8×C61—21no—
225C2×C8×C61—21no—
226C2×C8×C61—42no—
227C4⋊C4×C61—21no—
228C22⋊C4×C61—21no—
229C42×C61—21no—
230C42×C61—21no—
231C42×C61C22×C411yescharacteristic
232C42×C61C22×C411yescharacteristic
233C22⋊Dic61—21no—
234C22⋊Dic61—41no—
235#11758202—22no—
236#11758201—22no—
237#11758200—22no—
238#11758199—22no—
239#11758198—41no—
240#11758198—41no—
241#11758198—41no—
242C4⋊Dic61—21no—
243C4⋊Dic61—41no—
244C4⋊Dic61—41no—
245#11758196—41no—
246C4×Dic61—21no—
247C4×Dic61—21no—
248C4×Dic61—21no—
249C4×Dic61—41no—
250C4×Dic61—41no—
251C4×Dic61C2×D411yescharacteristic
252C4×Dic61C2×D411yescharacteristic
253C4×Dic61C2×D411yescharacteristic
254C4×Dic61C2×D411yescharacteristic
255#11758194—21no—
256#11758194—21no—
257#11758194C22×C412yes—
258#11758194C2×D412yes—
259C2×#92418—21no—
260C2×#92418—21no—
261Dic244—22no—
262D488—22no—
263#11758190—22no—
264#11758190—22no—
265#11758189—42no—
266#11758189—42no—
267C8×D61—42no—
268C8×D61—42no—
269C23×C61—21no—
270C23×C61H(5,𝔽2)11yescharacteristic
271C22×D61—21no—
272C22×D61—21no—
273C22×D61—21no—
274C22×D61—42no—
275Q8×C61—21no—
276Q8×C61C4×D412yes—
277D4×C61—22no—
278D4×C61—22no—
279D4×C61—21no—
280D4×C61C4×D412yes—
281C2×C4×C61—21no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—21no—
285C2×C4×C61—21no—
286C2×C4×C61—41no—
287C2×C4×C61—81no—
288C2×C4×C61C23×C411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61H(5,𝔽2)11yescharacteristic
294C22⋊D61—22no—
295C22⋊D61—22no—
296C22⋊D61—42no—
297C22⋊D61—42no—
298C22⋊D61—41no—
299C22⋊D61—41no—
300C22⋊D61—41no—
301C22⋊D61—41no—
302C2×Dic61—21no—
303C2×Dic61—21no—
304C2×Dic61—21no—
305C2×Dic61—21no—
306C2×Dic61—21no—
307C2×Dic61—21no—
308C2×Dic61—21no—
309C2×Dic61—42no—
310C2×Dic61—41no—
311C2×Dic61—81no—
312C2×Dic61—81no—
313C2×Dic61—82no—
314D244—21no—
315D244—21no—
316D244—21no—
317D244—21no—
318D244—21no—
319D244—42no—
320D244—82no—
321D244C4×D412yes—
322C4×D61—22no—
323C4×D61—22no—
324C4×D61—42no—
325C4×D61—42no—
326C4×D61—41no—
327C4×D61—41no—
328C4×D61—41no—
329C4×D61—41no—
330C4×D61—82no—
331Dic122—21no—
332Dic122—21no—
333Dic122—21no—
334Dic122—21no—
335Dic122—21no—
336Dic122—42no—
337Dic122C4×D412yes—
338C8×C61—22no—
339C8×C61—22no—
340C8×C61—41no—
341C8×C61—41no—
342#92418—22no—
343#92418—22no—
344#22898—611nomaximal, Sylow
345C22×C61—22no—
346C22×C61—41no—
347C22×C61—81no—
348C22×C61#51811yescharacteristic
349C22×C61#54611yescharacteristic
350C22×C61#54611yescharacteristic
351C2×D61—22no—
352C2×D61—41no—
353C2×D61—41no—
354C2×D61—81no—
355C2×D61—81no—
356C2×D61—81no—
357C2×D61—162no—
358C4×C61—22no—
359C4×C61—41no—
360C4×C61—41no—
361C4×C61—81no—
362C4×C61C2×C4×D411yescharacteristic
363C4×C61C2×C4×D411yescharacteristic
364C4×C61D4211yescharacteristic
365C4×C61#55111yescharacteristic
366Dic61—22no—
367Dic61—41no—
368Dic61—41no—
369Dic61—41no—
370Dic61—41no—
371Dic61—41no—
372Dic61—41no—
373Dic61—81no—
374#3018—611no—
375#2956—611no—
376#2956—611no—
377#2901—611no—
378#2901—611no—
379#1963—611no—
380#1932—611no—
381#1932—611no—
382#1906—611no—
383#1906—611no—
384#1884—611no—
385#1861—611no—
386#1861D6111yescharacteristic, complemented
387#1759—611no—
388#1759—611no—
389C2×C61—21no—
390C2×C61—21no—
391C2×C61—21no—
392C2×C61—42no—
393C2×C61#235811yescharacteristic
394D61—42no—
395D61—81no—
396D61—81no—
397#585—611no—
398#575—611no—
399#575—611no—
400#568—611no—
401#568—611no—
402#568C2×D6111yescharacteristic
403#532—611no—
404C4×#41—611no—
405C4×#41—611no—
406#456—612no—
407#455—612no—
408#454—612no—
409#453—612no—
410#444—1222no—
411#444—1222no—
412#443—1222no—
413#443—1222no—
414#430—611no—
415#430C2×D6111yescharacteristic, complemented
416#423C2×D6111yescharacteristic, complemented
417#421—611no—
418#421—611no—
419#421—611no—
420#421—1222no—
421#421—1222no—
422#421C2×D6111yescharacteristic
423C2×#104—611no—
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
433#413—611no—
434#410—611no—
435C4×M16—611no—
436C4×M16—611no—
437#376—611no—
438#344—611no—
439#344C2×D6111yescharacteristic, complemented
440#339—611no—
441#339—611no—
442#339—611no—
443#339C2×D6111yescharacteristic, complemented
444C61#2289811yescharacteristic, complemented, Sylow
4452−1+4—612no—
4462−1+4—1221no—
4472−1+4—1221no—
448H(5,𝔽2)—612no—
449H(5,𝔽2)—1221no—
450H(5,𝔽2)—1221no—
451H(5,𝔽2)—2441no—
452C2×#41—611no—
453C2×#41—611no—
454C2×#41—611no—
455C2×#41—1222no—
456C2×#41—1222no—
457C2×#41—2441no—
458C2×#41C22×D6111yescharacteristic
459#137—612no—
460#137—612no—
461#137—1221no—
462#137—1221no—
463AGL(1,ℤ/8)—612no—
464AGL(1,ℤ/8)—612no—
465AGL(1,ℤ/8)—1221no—
466AGL(1,ℤ/8)—1221no—
467#135—1222no—
468#135—1222no—
469#131—22no—
470#131—41no—
471#131—1222no—
472#131—1222no—
473#131—1222no—
474#131—2441no—
475C2×M16—22no—
476C2×M16—611no—
477C2×M16—611no—
478C2×M16—1222no—
479C2×M16—2441no—
480C2×M16C22×D6111yescharacteristic
481C2×M16C22×D6111yescharacteristic
482C2×M16C22×D6111yescharacteristic
483C2×M16C22×D6111yescharacteristic
484C4⋊Q8—611no—
485#127—611no—
486#124—611no—
487#124—611no—
488#121—2441no—
489C4×Q8—1221no—
490C4×Q8—1221no—
491C4×D4—1221no—
492C4×D4—1221no—
493C4×D4—2441no—
494C4×D4—2441no—
495C4×D4—2441no—
496#117—611no—
497#117—1221no—
498#117—1221no—
499#117C22×D6111yescharacteristic
500C2×C42—611no—
501C2×C42—611no—
502C2×C42—1221no—
503C2×C42—1221no—
504C2×C42C22×D6111yescharacteristic
505#108—22no—
506#108—1222no—
507C4⋊C8—41no—
508#104—22no—
509#104—612no—
510#104—612no—
511#104—612no—
512#104—612no—
513#104—612no—
514#104—612no—
515#104—1222no—
516#104—1221no—
517#104—1221no—
518#104—1221no—
519#104—1221no—
520#104—1221no—
521#104—1221no—
522#104—1221no—
523#104—1221no—
524#104—1222no—
525#104—1222no—
526#104C4×D6112yescomplemented
527#104C4×D6112yescomplemented
528#101—612no—
529#100—612no—
530#99—2441no—
531#97—1221no—
532#97—1221no—
533C4×C8—1221no—
534C4×C8—1221no—
535#95—2441no—
536#41—21no—
537#41—21no—
538#41—612no—
539#41—612no—
540#41—1222no—
541#41—1222no—
542#41—1221no—
543#41—1221no—
544#41—1222no—
545#41—1222no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41—2442no—
555#41—2442no—
556#41—2442no—
557#41—2442no—
558#41—2441no—
559#41—2441no—
560#41C2×C4×D6112yes—
561#41D4×D6112yes—
562C2×Q8—611no—
563C2×Q8—611no—
564C2×Q8—611no—
565C2×Q8—1222no—
566C2×Q8—1222no—
567C2×Q8—2441no—
568C2×Q8#1175822611yescharacteristic
569C2×D4—21no—
570C2×D4—611no—
571C2×D4—611no—
572C2×D4—611no—
573C2×D4—1222no—
574C2×D4—1221no—
575C2×D4—1222no—
576C2×D4—1221no—
577C2×D4—1221no—
578C2×D4—2441no—
579C2×D4—2442no—
580C2×D4—2441no—
581C2×D4—2442no—
582C2×D4—2442no—
583C2×D4#1175822611yescharacteristic
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—1221no—
590C22×C4—1221no—
591C22×C4—2442no—
592C22×C4—2441no—
593C22×C4—2441no—
594C22×C4C23×D6111yescharacteristic
595Q16—1222no—
596Q16—1222no—
597SD16—1222no—
598SD16—1222no—
599SD16—1222no—
600SD16—1222no—
601D8—1222no—
602D8—1222no—
603M16—21no—
604M16—21no—
605M16—21no—
606M16—21no—
607M16—21no—
608M16—21no—
609M16—42no—
610M16—612no—
611M16—612no—
612M16—1221no—
613M16—1221no—
614M16—2442no—
615M16—2442no—
616M16C2×C4×D6112yes—
617M16D4×D6112yes—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—21no—
622C2×C8—42no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—2442no—
626C2×C8—2442no—
627C4⋊C4—21no—
628C4⋊C4—1221no—
629C4⋊C4—2441no—
630C4⋊C4—2441no—
631C4⋊C4—2441no—
632C22⋊C4—21no—
633C22⋊C4—1221no—
634C22⋊C4—2441no—
635C22⋊C4—2441no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C42—21no—
639C42—21no—
640C42—611no—
641C42—611no—
642C42—611no—
643C42—611no—
644C42—1221no—
645C42—1221no—
646C42—1221no—
647C42—2441no—
648C42—2441no—
649C42C2×C4×D6111yescharacteristic
650C42C2×C4×D6111yescharacteristic
651C23—21no—
652C23—1221no—
653C23—1221no—
654C23—1221no—
655C23—2442no—
656C23#1451982311yescharacteristic
657Q8—21no—
658Q8—612no—
659Q8—1221no—
660Q8—1221no—
661Q8—1221no—
662Q8—1221no—
663Q8—1221no—
664Q8—2442no—
665Q8#1451973912yes—
666D4—22no—
667D4—22no—
668D4—21no—
669D4—612no—
670D4—1222no—
671D4—1222no—
672D4—1221no—
673D4—1221no—
674D4—1221no—
675D4—1221no—
676D4—1221no—
677D4—4882no—
678D4—2442no—
679D4—2442no—
680D4—2442no—
681D4—2441no—
682D4—2441no—
683D4—2441no—
684D4—2441no—
685D4#1451973912yes—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—41no—
692C2×C4—81no—
693C2×C4—1221no—
694C2×C4—1222no—
695C2×C4—1222no—
696C2×C4—1221no—
697C2×C4—1221no—
698C2×C4—1221no—
699C2×C4—1221no—
700C2×C4—1221no—
701C2×C4—1221no—
702C2×C4—4882no—
703C2×C4—4882no—
704C2×C4—4881no—
705C2×C4—4881no—
706C2×C4—2442no—
707C2×C4—2442no—
708C2×C4—2442no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4—2441no—
712C2×C4—2441no—
713C2×C4—2441no—
714C2×C4C22×C4×D6111yescharacteristic
715C2×C4C2×D4×D6111yescharacteristic
716C2×C4C2×D4×D6111yescharacteristic
717C2×C4#41×D6111yescharacteristic
718C2×C4C2×#1175822611yescharacteristic
719C2×C4#1451982211yescharacteristic
720C8—22no—
721C8—22no—
722C8—41no—
723C8—41no—
724C8—1222no—
725C8—1222no—
726C22—22no—
727C22—41no—
728C22—81no—
729C22—1222no—
730C22—9762no—
731C22—4881no—
732C22—4881no—
733C22—4881no—
734C22—2441no—
735C22—2441no—
736C22#1684023411yescharacteristic
737C22#1684040311yescharacteristic
738C22#1684040411yescharacteristic
739C4—22no—
740C4—41no—
741C4—41no—
742C4—81no—
743C4—1222no—
744C4—4881no—
745C4—2441no—
746C4—2441no—
747C4—2441no—
748C4—2441no—
749C4—2441no—
750C4—2441no—
751C4C4×D4×D6111yescharacteristic
752C4C2×#1451973911yescharacteristic
753C4#1684039411yescharacteristic
754C4#1684043911yescharacteristic
755C2—21no—
756C2—21no—
757C2—21no—
758C2—42no—
759C2—4881no—
760C2—4881no—
761C2—2442no—
762C2#2144879511yescharacteristic
subgroupG/H
centerC4#16840394
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1861C2
socleC2×C61#2358
prime radical#21455170C2
cosocleC22×C4×C61C24
hypercenter#1861D61
hypocenterC61#22898
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1861

Complements

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

NH ≅ G/Ntype
2. #21454728C2semidirect
3. #21454726C2semidirect
4. #21454365C2semidirect
5. #21454364C2semidirect
6. #21446650C2semidirect
7. #21446487C2semidirect
8. #21446486C2semidirect
9. #21446321C2semidirect
10. #21446318C2semidirect
11. #21446201C2semidirect
12. #21446058C2semidirect
13. #21445631C2semidirect
14. #21445628C2semidirect
15. C61×#1861C2semidirect
20. #16840528C22semidirect
24. #16839946C4semidirect
25. #16839941C4semidirect
26. #16839936C4semidirect
27. #16839931C4semidirect
32. #16839810C22semidirect
44. C2×#14519703C22semidirect
45. C2×#14519703C22semidirect
48. #16839735C22semidirect
49. M16×Dic61C22semidirect
50. M16×Dic61C22semidirect
51. #16839608C22semidirect
52. #16839533C22semidirect
53. #16839523C22semidirect
54. #16839522C22semidirect
55. #16839521C22semidirect
57. C61×#430C22semidirect
58. C61×#423C22semidirect
61. C61×#344C22semidirect
62. C61×#339C22semidirect
77. #14519810C2×C4semidirect
79. #14519807C2×C4semidirect
81. #14519805C2×C4semidirect
83. #14519802C2×C4semidirect
94. #14519777C2×C4semidirect
95. #14519774C2×C4semidirect
96. #14519765C2×C4semidirect
97. #14519765C2×C4semidirect
115. #14519705C2×C4semidirect
116. #14519705C2×C4semidirect
117. #14519704D4semidirect
118. #14519704D4semidirect
129. #14519703D4semidirect
130. #14519703D4semidirect
131. #14519695C2×C4semidirect
132. #14519693C2×C4semidirect
152. #104×C61C2×C4semidirect
153. #104×C61C2×C4semidirect
386. #1861D61semidirect
415. #430C2×D61semidirect
416. #423C2×D61semidirect
439. #344C2×D61semidirect
443. #339C2×D61semidirect
444. C61#22898semidirect
526. #104C4×D61semidirect
527. #104C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214551702
#214547282
#214547262
#214543652
#214543642
#214466502
#214464872
#214464862
#214463212
#214463182
#214462012
#214460582
#214456312
#214456282
C61×#18612
#2289861