Finite Group Databasebeta

← #30619342

Subgroups — #30619342

Order 15616.

796 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462595C211yesmaximal, characteristic, complemented
2#21462579C211yesmaximal, characteristic, complemented
3#21461979C211yesmaximal, characteristic, complemented
4#21461976C211yesmaximal, characteristic, complemented
5#21461867C211yesmaximal, characteristic, complemented
6#21461865C211yesmaximal, characteristic, complemented
7#21461862C211yesmaximal, characteristic, complemented
8#21461860C211yesmaximal, characteristic, complemented
9#21461855C211yesmaximal, characteristic, complemented
10#21461853C211yesmaximal, characteristic, complemented
11#21461850C211yesmaximal, characteristic, complemented
12#21461848C211yesmaximal, characteristic, complemented
13#21461739C211yesmaximal, characteristic, complemented
14#21461541C211yesmaximal, characteristic, complemented
15#21456292C211yesmaximal, characteristic
16#16840840C2211yescharacteristic
17#16840840C2211yescharacteristic
18#16840830C2211yescharacteristic
19#16840829C2211yescharacteristic
20#16840809—22no—
21#16840804—22no—
22#16840801—22no—
23SD16×#6923—22no—
24D61⋊#108C2211yescharacteristic
25#16840772C2211yescharacteristic
26#16840760C2211yescharacteristic
27#16840760C2211yescharacteristic
28#16840760C2211yescharacteristic
29#16840760C2211yescharacteristic
30#16840755C2211yescharacteristic
31#16840755C2211yescharacteristic
32#16840754C2211yescharacteristic
33#16840754C2211yescharacteristic
34D61⋊#101C2211yescharacteristic
35D61⋊#100C2211yescharacteristic
36#16840742C2211yescharacteristic
37#16840742C2211yescharacteristic
38#16840725C2211yescharacteristic
39#16840725C2211yescharacteristic
40#16840644C2211yescharacteristic
41#16840644C2211yescharacteristic
42#16840631C2211yescharacteristic
43#16840630C2211yescharacteristic
44#16840629C2211yescharacteristic
45#16840629C2211yescharacteristic
46#16840629C2211yescharacteristic
47#16840629C2211yescharacteristic
48C2×#14519806C2211yescharacteristic
49C2×#14519801C2211yescharacteristic
50C2×#14519796C2211yescharacteristic
51C2×SD16×D61C2211yescharacteristic
52#16840332C2211yescharacteristic
53#16840325C2211yescharacteristic
54#16840156C411yescharacteristic, complemented
55#16840153C411yescharacteristic, complemented
56#16840150C411yescharacteristic, complemented
57#16840145C411yescharacteristic, complemented
58#16840144C411yescharacteristic, complemented
59#16840134C411yescharacteristic, complemented
60#16840133C411yescharacteristic, complemented
61#16839719C2211yescharacteristic
62C61×#496C411yescharacteristic, complemented
63#14519864—22no—
64#14519864—22no—
65#14519864—41no—
66#14519864—41no—
67D61⋊M16C2311yescharacteristic
68D61⋊M16C2311yescharacteristic
69D61⋊M16C2311yescharacteristic
70D61⋊M16C2311yescharacteristic
71C2×#11758217—41no—
72C2×#11758217—41no—
73Q8×#6923—22no—
74Q8×#6923—41no—
75D4×#6923—22no—
76D4×#6923—41no—
77#14519856—41no—
78#14519856C2311yescharacteristic
79#14519856C2311yescharacteristic
80#14519856C2311yescharacteristic
81#14519856C2311yescharacteristic
82C2×C22⋊#6923—41no—
83#14519848—21no—
84#14519847—21no—
85#14519846—21no—
86#14519845—21no—
87#14519841—22no—
88#14519841—22no—
89#14519841—41no—
90#14519841—41no—
91#14519840—22no—
92#14519840—41no—
93#14519839—22no—
94#14519839—41no—
95#14519838—41no—
96#14519837—41no—
97#14519835—41no—
98#14519835—41no—
99#14519831—21no—
100#14519831D412yescomplemented
101C8×#6923—21no—
102C8×#6923D412yescomplemented
103C2×#11758224C2311yescharacteristic
104C2×#11758224C2311yescharacteristic
105C2×Q8×D61C2311yescharacteristic
106C2×D4×D61C2311yescharacteristic
107#14519806—41no—
108#14519806—41no—
109#14519801—41no—
110#14519801—41no—
111#14519796—21no—
112#14519796—21no—
113#14519796—21no—
114#14519796—21no—
115C2×Dic244C2×C411yescharacteristic, complemented
116C2×Dic244C2×C411yescharacteristic, complemented
117C2×#11758202C2×C411yescharacteristic, complemented
118C2×#11758190C2×C411yescharacteristic
119C2×#11758190C2×C411yescharacteristic
120C2×#11758200C2×C411yescharacteristic
121C2×#11758200C2×C411yescharacteristic
122C2×#11758200C2×C411yescharacteristic, complemented
123C2×#11758200C2×C411yescharacteristic, complemented
124C2×#11758200C2×C411yescharacteristic, complemented
125C2×#11758201C2×C411yescharacteristic
126SD16×D61—21no—
127SD16×D61—21no—
128SD16×D61—21no—
129SD16×D61—21no—
130C2×#11758199C2×C411yescharacteristic
131C2×#11758189C2311yescharacteristic
132C2×C8×D61C2311yescharacteristic
133#14519777C2×C411yescharacteristic, complemented
134#14519775C2×C411yescharacteristic, complemented
135#14519773C2×C411yescharacteristic
136#14519765C2×C411yescharacteristic
137#14519764C2×C411yescharacteristic
138#14519764C2×C411yescharacteristic, complemented
139#14519759—41no—
140#14519754—41no—
141#14519749—41no—
142#14519745—41no—
143#14519734C2311yescharacteristic
144#14519687C2×C411yescharacteristic, complemented
145C4×#92418C2×C411yescharacteristic, complemented
146C8×Dic61C2×C411yescharacteristic, complemented
147C2×SD16×C61C2×C411yescharacteristic
148C2×SD16×C61C2×C411yescharacteristic, complemented
149C2×D8×C61C2×C411yescharacteristic
150C2×D8×C61C2×C411yescharacteristic, complemented
151#127×C61C2×C411yescharacteristic
152#124×C61C2×C411yescharacteristic, complemented
153#97×C61C2×C411yescharacteristic, complemented
154C23×D61—21no—
155C22×#6923—42no—
156C2×Q8×C61C22×C411yescharacteristic
157C2×D4×C61—41no—
158C2×D4×C61C22×C411yescharacteristic
159C2×D4×C61C22×C411yescharacteristic
160C2×D4×C61C22×C411yescharacteristic
161C2×C22⋊D61—21no—
162C2×C22⋊D61—21no—
163C2×C22⋊D61—21no—
164C2×C22⋊D61—41no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167Q8×D61—21no—
168Q8×D61—21no—
169Q8×D61—21no—
170Q8×D61—21no—
171#11758224—21no—
172#11758224—21no—
173#11758224—21no—
174#11758224—21no—
175#11758224—21no—
176#11758224—21no—
177#11758224—21no—
178#11758224—21no—
179D4×D61—21no—
180D4×D61—21no—
181D4×D61—21no—
182D4×D61—21no—
183C2×D244C22×C411yescharacteristic
184C2×C4×D61—21no—
185C2×C4×D61C2411yescharacteristic
186C2×Dic122—21no—
187C2×Dic122C22×C411yescharacteristic
188C2×Dic122C22×C411yescharacteristic
189C2×Dic122C22×C411yescharacteristic
190C22⋊#6923—21no—
191C22⋊#6923—21no—
192C22⋊#6923—21no—
193C22⋊#6923—21no—
194C22⋊#6923—42no—
195#11758217—21no—
196#11758217—21no—
197#11758217—21no—
198#11758217—21no—
199#11758217—42no—
200#11758217—42no—
201C2×#92420—42no—
202C2×#92420—42no—
203C4⋊#6923—21no—
204C4⋊#6923—21no—
205C4⋊#6923—21no—
206C4⋊#6923—21no—
207C4⋊#6923—42no—
208C4×#6923—21no—
209C4×#6923—21no—
210C4×#6923—21no—
211C4×#6923—42no—
212C4×#6923C2×D412yes—
213#11758213—21no—
214#11758213—21no—
215#11758213—21no—
216#11758213—21no—
217D61⋊C8—21no—
218D61⋊C8—21no—
219D61⋊C8—21no—
220D61⋊C8C2×D412yes—
221SD16×C61—21no—
222SD16×C61—21no—
223SD16×C61—41no—
224D8×C61—21no—
225D8×C61—21no—
226D8×C61—41no—
227C2×C8×C61C22×C411yescharacteristic
228C2×C8×C61C22×C411yescharacteristic
229C22⋊C4×C61—41no—
230C42×C61C22×C411yescharacteristic
231C22⋊Dic61—41no—
232C22⋊Dic61—41no—
233#11758202—41no—
234#11758201—21no—
235#11758201—21no—
236#11758200—21no—
237#11758200—21no—
238#11758200—21no—
239#11758200—21no—
240#11758200—21no—
241#11758200—21no—
242#11758200—41no—
243#11758200—41no—
244#11758199—41no—
245#11758198—21no—
246#11758198—41no—
247C4⋊Dic61—41no—
248#11758196—21no—
249#11758196—41no—
250C4×Dic61C22×C411yescharacteristic
251C2×#92418C22×C411yescharacteristic
252C2×#92418C22×C411yescharacteristic
253Dic244—21no—
254Dic244—21no—
255Dic244—41no—
256#11758190—21no—
257#11758190—21no—
258#11758190—41no—
259#11758189—21no—
260#11758189—21no—
261C8×D61C2×D411yescharacteristic
262C8×D61C2×D411yescharacteristic
263C8×D61#4111yescharacteristic
264C8×D61#4111yescharacteristic
265C23×C61—21no—
266C23×C61—21no—
267C23×C61—21no—
268C22×D61—21no—
269C22×D61—41no—
270C22×D61—41no—
271C22×D61—161no—
272C22×D61H(5,𝔽2)11yescharacteristic
273C2×#6923—22no—
274C2×#6923—41no—
275C2×#6923—41no—
276C2×#6923—41no—
277C2×#6923—162no—
278Q8×C61—21no—
279Q8×C61—21no—
280D4×C61—21no—
281D4×C61—21no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61—161no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61C23×C411yescharacteristic
290C22⋊D61—41no—
291C22⋊D61—41no—
292C22⋊D61—41no—
293C22⋊D61—41no—
294C22⋊D61—41no—
295C22⋊D61—41no—
296C22⋊D61—161no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61H(5,𝔽2)11yescharacteristic
306D244—21no—
307D244—21no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61C22×D411yescharacteristic
311C4×D61C2×#4111yescharacteristic
312C4×D61H(5,𝔽2)11yescharacteristic
313C4×D61H(5,𝔽2)11yescharacteristic
314Dic122—21no—
315Dic122—21no—
316Dic122—21no—
317Dic122—21no—
318Dic122—21no—
319Dic122—21no—
320Dic122—41no—
321Dic122—41no—
322#92420—22no—
323#92420—41no—
324#92420—41no—
325#92420—41no—
326C8×C61—21no—
327C8×C61C4×D411yescharacteristic
328C8×C61C4×D411yescharacteristic
329#92418—21no—
330#92418C4×D411yescharacteristic
331#92418C4×D411yescharacteristic
332#22284—611nomaximal, Sylow
333C22×C61—41no—
334C22×C61—41no—
335C22×C61—41no—
336C22×C61—81no—
337C22×C61—81no—
338C22×C61—81no—
339C22×C61#51811yescharacteristic
340C2×D61—41no—
341C2×D61—41no—
342C2×D61—82no—
343C2×D61—81no—
344C2×D61—161no—
345C2×D61#53511yescharacteristic
346C2×D61#54011yescharacteristic
347#6923—42no—
348#6923—81no—
349#6923—81no—
350#6923—81no—
351C4×C61—41no—
352C4×C61—41no—
353C4×C61C2×C4×D411yescharacteristic
354C4×C61#51811yescharacteristic
355Dic61—41no—
356Dic61—41no—
357Dic61—41no—
358Dic61—41no—
359Dic61#53511yescharacteristic
360Dic61#54011yescharacteristic
361#3154—611no—
362#2957—611no—
363#2949—611no—
364#1977—611no—
365#1976—611no—
366#1912—611no—
367#1911—611no—
368#1910—611no—
369#1909—611no—
370#1905—611no—
371#1904—611no—
372#1903—611no—
373#1902—611no—
374#1833—611no—
375#1747—611no—
376C2×C61—21no—
377C2×C61—81no—
378C2×C61—81no—
379C2×C61—81no—
380C2×C61#232811yescharacteristic
381D61—21no—
382D61—21no—
383D61—81no—
384C2×#137—611no—
385C2×AGL(1,ℤ/8)—611no—
386C2×#135—611no—
387C22×SD16—611no—
388#568—611no—
389#568—611no—
390#536—611no—
391#535—611no—
392#519—611no—
393#518—611no—
394#497—611no—
395#497—611no—
396#496—611no—
397#496#692311yescharacteristic, complemented
398#495—611no—
399#495—611no—
400#492—611no—
401#492—611no—
402#444—1222no—
403#443—1222no—
404#440—1222no—
405C4×SD16—1222no—
406C2×#108—611no—
407#427—611no—
408#421—611no—
409#421—611no—
410#421—611no—
411#421—611no—
412#419—611no—
413#419—611no—
414#418—611no—
415#418—611no—
416C2×#101—611no—
417C2×#100—611no—
418#410—611no—
419#410—611no—
420#405—611no—
421#405—611no—
422#405—611no—
423#344—611no—
424#344—611no—
425#338—611no—
426H(3,ℤ/4)—611no—
427H(3,ℤ/4)—611no—
428H(3,ℤ/4)—611no—
429H(3,ℤ/4)—611no—
430H(3,ℤ/4)—611no—
431C61#2228411yescharacteristic, complemented, Sylow
432C2×#41—611no—
433C2×#41—611no—
434C22×Q8—611no—
435C22×D4—611no—
436#137—2441no—
437#137—2441no—
438AGL(1,ℤ/8)—2441no—
439AGL(1,ℤ/8)—2441no—
440#135—1221no—
441#135—1221no—
442#135—1221no—
443#135—1221no—
444C2×Q16—611no—
445C2×Q16—611no—
446C2×Q16—611no—
447C2×SD16—611no—
448C2×SD16—611no—
449C2×SD16—611no—
450C2×SD16—611no—
451C2×SD16—611no—
452C2×SD16—611no—
453C2×SD16—611no—
454C2×SD16—611no—
455C2×SD16—1221no—
456C2×SD16—1221no—
457C2×SD16—1221no—
458C2×SD16—1221no—
459C2×SD16C2×#692311yescharacteristic
460C2×SD16C2×#692311yescharacteristic, complemented
461C2×D8—611no—
462C2×D8C2×#692311yescharacteristic
463C2×D8C2×#692311yescharacteristic, complemented
464#131—1222no—
465#131—1222no—
466#131—2441no—
467#131—2441no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—2441no—
474C2×M16—2441no—
475C22×C8—611no—
476C4⋊Q8—611no—
477C4⋊Q8—611no—
478#127—611no—
479#127C2×#692311yescharacteristic
480#124—611no—
481#124—611no—
482#124—611no—
483#124C2×#692311yescharacteristic, complemented
484#123—2441no—
485C22⋊Q8—2441no—
486#121—2441no—
487#120—2441no—
488C4×Q8—1222no—
489C4×Q8—2441no—
490C4×D4—1222no—
491C4×D4—2441no—
492#117—611no—
493#117—611no—
494#117—611no—
495#117—611no—
496#117—611no—
497#117—2441no—
498C2×C22⋊C4—2441no—
499#108—1221no—
500#108—1221no—
501#107—1221no—
502#106—1221no—
503#104—1222no—
504#104—1222no—
505#104—2441no—
506#104—2441no—
507#103—1222no—
508#103—2441no—
509#102—1222no—
510#102—2441no—
511#101—2441no—
512#100—2441no—
513#99—2441no—
514#99—2441no—
515#97—612no—
516#97—611no—
517#97—1221no—
518#97C2×#692311yescharacteristic, complemented
519C4×C8—612no—
520C4×C8—611no—
521C4×C8—611no—
522C4×C8—1221no—
523C24—1221no—
524#41—1221no—
525#41—1221no—
526#41—1221no—
527#41—1221no—
528#41—1221no—
529#41—1221no—
530#41—1221no—
531#41—1221no—
532C2×Q8—611no—
533C2×Q8—611no—
534C2×Q8—611no—
535C2×Q8—1221no—
536C2×Q8—1221no—
537C2×Q8—1221no—
538C2×Q8—1221no—
539C2×Q8—1221no—
540C2×Q8C22×#692311yescharacteristic
541C2×D4—41no—
542C2×D4—611no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—1221no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—1221no—
550C2×D4—2441no—
551C2×D4C22×#692311yescharacteristic
552C2×D4C22×#692311yescharacteristic
553C2×D4C22×#692311yescharacteristic
554C22×C4—611no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—2442no—
559Q16—1221no—
560Q16—1221no—
561Q16—2441no—
562Q16—2441no—
563SD16—21no—
564SD16—21no—
565SD16—41no—
566SD16—1221no—
567SD16—1221no—
568SD16—1221no—
569SD16—1221no—
570SD16—1221no—
571SD16—1221no—
572SD16—1221no—
573SD16—1221no—
574SD16—1221no—
575SD16—1221no—
576SD16—2441no—
577SD16—2441no—
578SD16—2441no—
579D8—21no—
580D8—21no—
581D8—41no—
582D8—2441no—
583M16—1221no—
584M16—1221no—
585M16—1221no—
586M16—1221no—
587M16—1221no—
588M16—1221no—
589M16—1221no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—2442no—
594M16—2442no—
595C2×C8—611no—
596C2×C8—611no—
597C2×C8—611no—
598C2×C8—611no—
599C2×C8—611no—
600C2×C8—612no—
601C2×C8—611no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—2442no—
606C2×C8—2442no—
607C2×C8C22×#692311yescharacteristic
608C2×C8C22×#692311yescharacteristic
609C4⋊C4—1221no—
610C4⋊C4—1221no—
611C4⋊C4—1221no—
612C4⋊C4—1221no—
613C4⋊C4—1221no—
614C4⋊C4—2441no—
615C4⋊C4—2441no—
616C4⋊C4—2442no—
617C22⋊C4—41no—
618C22⋊C4—1221no—
619C22⋊C4—1221no—
620C22⋊C4—1221no—
621C22⋊C4—1221no—
622C22⋊C4—1221no—
623C22⋊C4—2441no—
624C22⋊C4—2441no—
625C22⋊C4—2441no—
626C22⋊C4—2442no—
627C42—612no—
628C42—611no—
629C42—1221no—
630C42—1221no—
631C42—1221no—
632C42—2442no—
633C42C22×#692311yescharacteristic
634C23—21no—
635C23—21no—
636C23—21no—
637C23—611no—
638C23—1221no—
639C23—9761no—
640C23—2441no—
641C23—2441no—
642Q8—21no—
643Q8—21no—
644Q8—1221no—
645Q8—1221no—
646Q8—1221no—
647Q8—1221no—
648Q8—1221no—
649Q8—1221no—
650Q8—2441no—
651Q8—2441no—
652D4—21no—
653D4—21no—
654D4—21no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—161no—
659D4—1221no—
660D4—1221no—
661D4—9761no—
662D4—2441no—
663D4—2441no—
664D4—2441no—
665D4—2441no—
666D4—2441no—
667D4—2441no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—1222no—
676C2×C4—1221no—
677C2×C4—1221no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—9762no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4C23×#692311yescharacteristic
691C8—21no—
692C8—611no—
693C8—611no—
694C8—1222no—
695C8—1221no—
696C8—2441no—
697C8—2441no—
698C8—2441no—
699C8D4×#692311yescharacteristic
700C8D4×#692311yescharacteristic
701C22—41no—
702C22—41no—
703C22—41no—
704C22—81no—
705C22—81no—
706C22—81no—
707C22—611no—
708C22—611no—
709C22—9761no—
710C22—4881no—
711C22—4882no—
712C22—2441no—
713C22—2441no—
714C22#1684082911yescharacteristic
715C4—41no—
716C4—41no—
717C4—611no—
718C4—611no—
719C4—4881no—
720C4—4881no—
721C4—4881no—
722C4—2441no—
723C4—2442no—
724C4—2441no—
725C4—2441no—
726C4—2441no—
727C4C2×D4×#692311yescharacteristic
728C4#1684082911yescharacteristic
729C2—21no—
730C2—81no—
731C2—81no—
732C2—81no—
733C2—1221no—
734C2—1221no—
735C2—4881no—
736C2#2146231111yescharacteristic
subgroupG/H
centerC2#21462311
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#496C4
socleC2×C61#2328
prime radical#21456292C2
cosocleC2×C4×D61C24
hypercenter#496#6923
hypocenterC61#22284
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C2×C4 ◁ #496

Complements

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

NH ≅ G/Ntype
1. #21462595C2semidirect
2. #21462579C2semidirect
3. #21461979C2semidirect
4. #21461976C2semidirect
5. #21461867C2semidirect
6. #21461865C2semidirect
7. #21461862C2semidirect
8. #21461860C2semidirect
9. #21461855C2semidirect
10. #21461853C2semidirect
11. #21461850C2semidirect
12. #21461848C2semidirect
13. #21461739C2semidirect
14. #21461541C2semidirect
54. #16840156C4semidirect
55. #16840153C4semidirect
56. #16840150C4semidirect
57. #16840145C4semidirect
58. #16840144C4semidirect
59. #16840134C4semidirect
60. #16840133C4semidirect
62. C61×#496C4semidirect
100. #14519831D4semidirect
102. C8×#6923D4semidirect
115. C2×Dic244C2×C4semidirect
116. C2×Dic244C2×C4semidirect
117. C2×#11758202C2×C4semidirect
122. C2×#11758200C2×C4semidirect
123. C2×#11758200C2×C4semidirect
124. C2×#11758200C2×C4semidirect
133. #14519777C2×C4semidirect
134. #14519775C2×C4semidirect
138. #14519764C2×C4semidirect
144. #14519687C2×C4semidirect
145. C4×#92418C2×C4semidirect
146. C8×Dic61C2×C4semidirect
148. C2×SD16×C61C2×C4semidirect
150. C2×D8×C61C2×C4semidirect
152. #124×C61C2×C4semidirect
153. #97×C61C2×C4semidirect
397. #496#6923semidirect
431. C61#22284semidirect
460. C2×SD16C2×#6923semidirect
463. C2×D8C2×#6923semidirect
483. #124C2×#6923semidirect
518. #97C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214625952
#214625792
#214619792
#214619762
#214618672
#214618652
#214618622
#214618602
#214618552
#214618532
#214618502
#214618482
#214617392
#214615412
#214562922
#2228461