Finite Group Databasebeta

← #30619348

Subgroups — #30619348

Order 15616.

820 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462597C211yesmaximal, characteristic, complemented
2#21462578C211yesmaximal, characteristic, complemented
3#21461980C211yesmaximal, characteristic, complemented
4#21461977C211yesmaximal, characteristic, complemented
5#21461865C211yesmaximal, characteristic, complemented
6#21461864C211yesmaximal, characteristic, complemented
7#21461863C211yesmaximal, characteristic, complemented
8#21461862C211yesmaximal, characteristic, complemented
9#21461853C211yesmaximal, characteristic, complemented
10#21461852C211yesmaximal, characteristic, complemented
11#21461851C211yesmaximal, characteristic, complemented
12#21461850C211yesmaximal, characteristic, complemented
13#21461739C211yesmaximal, characteristic, complemented
14#21461541C211yesmaximal, characteristic, complemented
15#21456303C211yesmaximal, characteristic
16#16840842C2211yescharacteristic
17#16840840C2211yescharacteristic
18#16840829C2211yescharacteristic
19#16840829C2211yescharacteristic
20#16840807—22no—
21#16840805—22no—
22#16840803—22no—
23D8×#6923—22no—
24D61⋊#108C2211yescharacteristic
25#16840772C2211yescharacteristic
26#16840761C2211yescharacteristic
27#16840761C2211yescharacteristic
28#16840760C2211yescharacteristic
29#16840760C2211yescharacteristic
30#16840754C2211yescharacteristic
31#16840754C2211yescharacteristic
32#16840754C2211yescharacteristic
33#16840754C2211yescharacteristic
34D61⋊#100C2211yescharacteristic
35D61⋊#100C2211yescharacteristic
36#16840743C2211yescharacteristic
37#16840742C2211yescharacteristic
38#16840725C2211yescharacteristic
39#16840725C2211yescharacteristic
40#16840644C2211yescharacteristic
41#16840644C2211yescharacteristic
42#16840631C2211yescharacteristic
43#16840630C2211yescharacteristic
44#16840629C2211yescharacteristic
45#16840629C2211yescharacteristic
46#16840629C2211yescharacteristic
47#16840629C2211yescharacteristic
48C2×#14519804C2211yescharacteristic
49C2×#14519801C2211yescharacteristic
50C2×#14519798C2211yescharacteristic
51C2×D8×D61C2211yescharacteristic
52#16840330C2211yescharacteristic
53#16840325C2211yescharacteristic
54#16840151C411yescharacteristic, complemented
55#16840150C411yescharacteristic, complemented
56#16840148C411yescharacteristic, complemented
57#16840144C411yescharacteristic, complemented
58#16840143C411yescharacteristic, complemented
59#16840138C411yescharacteristic, complemented
60#16840137C411yescharacteristic, complemented
61#16839719C2211yescharacteristic
62C61×#496C411yescharacteristic, complemented
63#14519865—22no—
64#14519865—41no—
65#14519864—22no—
66#14519864—41no—
67D61⋊M16—41no—
68D61⋊M16C2311yescharacteristic
69D61⋊M16C2311yescharacteristic
70D61⋊M16C2311yescharacteristic
71D61⋊M16C2311yescharacteristic
72C2×#11758217—41no—
73D4×#6923—22no—
74D4×#6923—22no—
75D4×#6923—41no—
76D4×#6923—41no—
77#14519856C2311yescharacteristic
78#14519856C2311yescharacteristic
79#14519856C2311yescharacteristic
80#14519856C2311yescharacteristic
81C2×C22⋊#6923—41no—
82C2×C22⋊#6923—41no—
83#14519848—21no—
84#14519847—21no—
85#14519846—21no—
86#14519845—21no—
87#14519842—22no—
88#14519842—41no—
89#14519841—22no—
90#14519841—41no—
91#14519839—22no—
92#14519839—22no—
93#14519839—41no—
94#14519839—41no—
95#14519837—41no—
96#14519837—41no—
97#14519836—41no—
98#14519835—41no—
99#14519831—21no—
100#14519831D412yescomplemented
101C8×#6923—21no—
102C8×#6923D412yescomplemented
103C2×#11758226C2311yescharacteristic
104C2×#11758224C2311yescharacteristic
105C2×D4×D61C2311yescharacteristic
106C2×D4×D61C2311yescharacteristic
107#14519804—41no—
108#14519804—41no—
109#14519801—41no—
110#14519801—41no—
111#14519798—21no—
112#14519798—21no—
113#14519798—21no—
114#14519798—21no—
115C2×#11758202C2×C411yescharacteristic, complemented
116C2×#11758190C2×C411yescharacteristic, complemented
117C2×#11758190C2×C411yescharacteristic, complemented
118C2×#11758200C2×C411yescharacteristic, complemented
119C2×#11758201C2×C411yescharacteristic, complemented
120C2×D488C2×C411yescharacteristic
121C2×D488C2×C411yescharacteristic, complemented
122C2×#11758199C2×C411yescharacteristic
123C2×#11758199C2×C411yescharacteristic
124C2×#11758199C2×C411yescharacteristic, complemented
125C2×#11758199C2×C411yescharacteristic, complemented
126C2×#11758199C2×C411yescharacteristic, complemented
127D8×D61—21no—
128D8×D61—21no—
129D8×D61—21no—
130D8×D61—21no—
131C2×#11758189C2311yescharacteristic
132C2×C8×D61C2311yescharacteristic
133#14519774C2×C411yescharacteristic, complemented
134#14519773C2×C411yescharacteristic, complemented
135#14519773C2×C411yescharacteristic, complemented
136#14519766C2×C411yescharacteristic, complemented
137#14519765C2×C411yescharacteristic, complemented
138#14519764C2×C411yescharacteristic, complemented
139#14519750—41no—
140#14519749—41no—
141#14519747—41no—
142#14519745—41no—
143#14519734C2311yescharacteristic
144#14519687C2×C411yescharacteristic, complemented
145C4×#92418C2×C411yescharacteristic, complemented
146C8×Dic61C2×C411yescharacteristic, complemented
147C2×SD16×C61C2×C411yescharacteristic, complemented
148C2×SD16×C61C2×C411yescharacteristic, complemented
149C2×D8×C61C2×C411yescharacteristic
150C2×D8×C61C2×C411yescharacteristic, complemented
151#127×C61C2×C411yescharacteristic, complemented
152#124×C61C2×C411yescharacteristic, complemented
153#97×C61C2×C411yescharacteristic, complemented
154C23×D61—21no—
155C23×D61—21no—
156C22×#6923—42no—
157C22×#6923—42no—
158C2×Q8×C61C22×C411yescharacteristic
159C2×D4×C61—41no—
160C2×D4×C61C22×C411yescharacteristic
161C2×D4×C61C22×C411yescharacteristic
162C2×D4×C61C22×C411yescharacteristic
163C2×C22⋊D61—21no—
164C2×C22⋊D61—21no—
165C2×C22⋊D61—21no—
166C2×C22⋊D61—41no—
167C2×C22⋊D61—41no—
168C22×Dic61—21no—
169#11758226—21no—
170#11758226—21no—
171#11758226—21no—
172#11758226—21no—
173#11758224—21no—
174#11758224—21no—
175#11758224—21no—
176#11758224—21no—
177D4×D61—21no—
178D4×D61—21no—
179D4×D61—21no—
180D4×D61—21no—
181D4×D61—21no—
182D4×D61—21no—
183D4×D61—21no—
184D4×D61—21no—
185C2×D244—21no—
186C2×D244—41no—
187C2×D244C22×C411yescharacteristic
188C2×D244C22×C411yescharacteristic
189C2×D244C22×C411yescharacteristic
190C2×C4×D61—21no—
191C2×C4×D61C2411yescharacteristic
192C2×Dic122C22×C411yescharacteristic
193C22⋊#6923—21no—
194C22⋊#6923—21no—
195C22⋊#6923—21no—
196C22⋊#6923—21no—
197C22⋊#6923—42no—
198C22⋊#6923—42no—
199#11758217—21no—
200#11758217—21no—
201#11758217—21no—
202#11758217—21no—
203#11758217—42no—
204C2×#92420—42no—
205C4⋊#6923—21no—
206C4⋊#6923—21no—
207C4⋊#6923—21no—
208C4⋊#6923—21no—
209C4×#6923—21no—
210C4×#6923—21no—
211C4×#6923—21no—
212C4×#6923C2×D412yes—
213#11758213—21no—
214#11758213—21no—
215#11758213—21no—
216#11758213—21no—
217#11758213—42no—
218D61⋊C8—21no—
219D61⋊C8—21no—
220D61⋊C8—21no—
221D61⋊C8—42no—
222D61⋊C8C2×D412yes—
223SD16×C61—21no—
224SD16×C61—21no—
225SD16×C61—41no—
226D8×C61—21no—
227D8×C61—21no—
228D8×C61—41no—
229C2×C8×C61C22×C411yescharacteristic
230C2×C8×C61C22×C411yescharacteristic
231C22⋊C4×C61—41no—
232C42×C61C22×C411yescharacteristic
233C22⋊Dic61—41no—
234#11758202—21no—
235#11758202—21no—
236#11758201—41no—
237#11758200—41no—
238#11758199—21no—
239#11758199—21no—
240#11758199—21no—
241#11758199—21no—
242#11758199—21no—
243#11758199—21no—
244#11758199—41no—
245#11758199—41no—
246#11758198—21no—
247#11758198—41no—
248#11758198—41no—
249#11758196—21no—
250C4×Dic61C22×C411yescharacteristic
251C2×#92418C22×C411yescharacteristic
252C2×#92418C22×C411yescharacteristic
253D488—21no—
254D488—21no—
255D488—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—21no—
270C22×D61—21no—
271C22×D61—41no—
272C22×D61—41no—
273C22×D61—41no—
274C22×D61—41no—
275C22×D61—161no—
276C22×D61—161no—
277C22×D61H(5,𝔽2)11yescharacteristic
278C2×#6923—22no—
279C2×#6923—41no—
280C2×#6923—41no—
281C2×#6923—41no—
282C2×#6923—162no—
283C2×#6923—162no—
284Q8×C61—21no—
285Q8×C61—21no—
286D4×C61—21no—
287D4×C61—21no—
288D4×C61—21no—
289D4×C61—21no—
290D4×C61—21no—
291D4×C61—21no—
292D4×C61—161no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61C23×C411yescharacteristic
296C22⋊D61—41no—
297C22⋊D61—41no—
298C22⋊D61—41no—
299C22⋊D61—41no—
300C22⋊D61—41no—
301C22⋊D61—41no—
302C22⋊D61—161no—
303C22⋊D61—161no—
304C2×Dic61—21no—
305C2×Dic61—21no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61H(5,𝔽2)11yescharacteristic
309D244—21no—
310D244—21no—
311D244—21no—
312D244—21no—
313D244—21no—
314D244—21no—
315D244—41no—
316D244—41no—
317D244—161no—
318C4×D61—41no—
319C4×D61—41no—
320C4×D61C22×D411yescharacteristic
321C4×D61C2×#4111yescharacteristic
322C4×D61H(5,𝔽2)11yescharacteristic
323C4×D61H(5,𝔽2)11yescharacteristic
324Dic122—21no—
325Dic122—21no—
326#92420—22no—
327#92420—41no—
328#92420—41no—
329#92420—41no—
330C8×C61—21no—
331C8×C61C4×D411yescharacteristic
332C8×C61C4×D411yescharacteristic
333#92418—21no—
334#92418C4×D411yescharacteristic
335#92418C4×D411yescharacteristic
336#22286—611nomaximal, Sylow
337C22×C61—41no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—81no—
341C22×C61—81no—
342C22×C61—81no—
343C22×C61#51811yescharacteristic
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61—41no—
348C2×D61—82no—
349C2×D61—82no—
350C2×D61—81no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—161no—
354C2×D61—161no—
355C2×D61#53511yescharacteristic
356C2×D61#54011yescharacteristic
357#6923—42no—
358#6923—81no—
359#6923—81no—
360#6923—81no—
361C4×C61—41no—
362C4×C61—41no—
363C4×C61C2×C4×D411yescharacteristic
364C4×C61#51811yescharacteristic
365Dic61—41no—
366Dic61—41no—
367Dic61#53511yescharacteristic
368Dic61#54011yescharacteristic
369#3155—611no—
370#2957—611no—
371#2948—611no—
372#1978—611no—
373#1976—611no—
374#1911—611no—
375#1911—611no—
376#1910—611no—
377#1910—611no—
378#1904—611no—
379#1904—611no—
380#1903—611no—
381#1903—611no—
382#1833—611no—
383#1747—611no—
384C2×C61—21no—
385C2×C61—81no—
386C2×C61—81no—
387C2×C61—81no—
388C2×C61#232811yescharacteristic
389D61—21no—
390D61—21no—
391D61—81no—
392D61—81no—
393D61—81no—
394C2×AGL(1,ℤ/8)—611no—
395C2×AGL(1,ℤ/8)—611no—
396C2×#135—611no—
397C22×D8—611no—
398#568—611no—
399#568—611no—
400#535—611no—
401#535—611no—
402#518—611no—
403#518—611no—
404#496—611no—
405#496—611no—
406#496—611no—
407#496#692311yescharacteristic, complemented
408#495—611no—
409#495—611no—
410#493—611no—
411#493—611no—
412#444—1222no—
413#443—1222no—
414#442—1222no—
415C4×D8—1222no—
416C2×#108—611no—
417#427—611no—
418#421—611no—
419#421—611no—
420#421—611no—
421#421—611no—
422#418—611no—
423#418—611no—
424#418—611no—
425#418—611no—
426C2×#100—611no—
427C2×#100—611no—
428#410—611no—
429#410—611no—
430#405—611no—
431#405—611no—
432#405—611no—
433#344—611no—
434#344—611no—
435#338—611no—
436H(3,ℤ/4)—611no—
437H(3,ℤ/4)—611no—
438H(3,ℤ/4)—611no—
439H(3,ℤ/4)—611no—
440H(3,ℤ/4)—611no—
441C61#2228611yescharacteristic, complemented, Sylow
442C2×#41—611no—
443C2×#41—611no—
444C22×D4—611no—
445C22×D4—611no—
446AGL(1,ℤ/8)—2441no—
447AGL(1,ℤ/8)—2441no—
448AGL(1,ℤ/8)—2441no—
449AGL(1,ℤ/8)—2441no—
450#135—1221no—
451#135—1221no—
452#135—1221no—
453#135—1221no—
454C2×Q16—611no—
455C2×SD16—611no—
456C2×SD16—611no—
457C2×SD16—611no—
458C2×SD16—611no—
459C2×SD16C2×#692311yescharacteristic, complemented
460C2×SD16C2×#692311yescharacteristic, complemented
461C2×D8—611no—
462C2×D8—611no—
463C2×D8—611no—
464C2×D8—611no—
465C2×D8—611no—
466C2×D8—611no—
467C2×D8—611no—
468C2×D8—1221no—
469C2×D8—1221no—
470C2×D8—1221no—
471C2×D8—1221no—
472C2×D8C2×#692311yescharacteristic
473C2×D8C2×#692311yescharacteristic, complemented
474#131—1222no—
475#131—1222no—
476#131—2441no—
477#131—2441no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—611no—
481C2×M16—611no—
482C2×M16—611no—
483C2×M16—2441no—
484C2×M16—2441no—
485C22×C8—611no—
486#127—611no—
487#127—611no—
488#127—611no—
489#127C2×#692311yescharacteristic, complemented
490#124—611no—
491#124—611no—
492#124—611no—
493#124C2×#692311yescharacteristic, complemented
494#121—2441no—
495#121—2441no—
496#120—2441no—
497#120—2441no—
498C4×D4—1222no—
499C4×D4—1222no—
500C4×D4—2441no—
501C4×D4—2441no—
502#117—611no—
503#117—611no—
504#117—611no—
505#117—611no—
506#117—611no—
507C2×C22⋊C4—2441no—
508C2×C22⋊C4—2441no—
509#108—1221no—
510#108—1221no—
511#107—1221no—
512#106—1221no—
513#104—1222no—
514#104—1222no—
515#104—2441no—
516#104—2441no—
517#102—1222no—
518#102—1222no—
519#102—2441no—
520#102—2441no—
521#100—2441no—
522#100—2441no—
523#99—2441no—
524#99—2441no—
525#97—612no—
526#97—611no—
527#97—1221no—
528#97C2×#692311yescharacteristic, complemented
529C4×C8—612no—
530C4×C8—611no—
531C4×C8—611no—
532C4×C8—1221no—
533C24—1221no—
534C24—1221no—
535#41—1221no—
536#41—1221no—
537#41—1221no—
538#41—1221no—
539#41—1221no—
540#41—1221no—
541#41—1221no—
542#41—1221no—
543C2×Q8—611no—
544C2×Q8C22×#692311yescharacteristic
545C2×D4—41no—
546C2×D4—611no—
547C2×D4—611no—
548C2×D4—611no—
549C2×D4—1221no—
550C2×D4—1221no—
551C2×D4—1221no—
552C2×D4—1221no—
553C2×D4—1221no—
554C2×D4—1221no—
555C2×D4—1221no—
556C2×D4—1221no—
557C2×D4—1221no—
558C2×D4—1221no—
559C2×D4—1221no—
560C2×D4—1221no—
561C2×D4—2441no—
562C2×D4—2441no—
563C2×D4—2441no—
564C2×D4C22×#692311yescharacteristic
565C2×D4C22×#692311yescharacteristic
566C2×D4C22×#692311yescharacteristic
567C22×C4—611no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—2442no—
571C22×C4—2442no—
572Q16—1221no—
573Q16—1221no—
574SD16—21no—
575SD16—21no—
576SD16—41no—
577SD16—1221no—
578SD16—1221no—
579SD16—2441no—
580SD16—2441no—
581SD16—2441no—
582D8—21no—
583D8—21no—
584D8—41no—
585D8—1221no—
586D8—1221no—
587D8—1221no—
588D8—1221no—
589D8—1221no—
590D8—1221no—
591D8—1221no—
592D8—1221no—
593D8—2441no—
594D8—2441no—
595D8—2441no—
596M16—1221no—
597M16—1221no—
598M16—1221no—
599M16—1221no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—1221no—
606M16—2442no—
607M16—2442no—
608C2×C8—611no—
609C2×C8—611no—
610C2×C8—611no—
611C2×C8—611no—
612C2×C8—611no—
613C2×C8—612no—
614C2×C8—611no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—1221no—
618C2×C8—2442no—
619C2×C8—2442no—
620C2×C8C22×#692311yescharacteristic
621C2×C8C22×#692311yescharacteristic
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
627C22⋊C4—41no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—2441no—
634C22⋊C4—2441no—
635C22⋊C4—2441no—
636C22⋊C4—2442no—
637C22⋊C4—2442no—
638C42—612no—
639C42—611no—
640C42—1221no—
641C42—1221no—
642C42—1221no—
643C42C22×#692311yescharacteristic
644C23—21no—
645C23—21no—
646C23—21no—
647C23—611no—
648C23—1221no—
649C23—1221no—
650C23—1221no—
651C23—9761no—
652C23—9761no—
653C23—2441no—
654C23—2441no—
655C23—2441no—
656C23—2441no—
657Q8—21no—
658Q8—21no—
659Q8—1221no—
660Q8—1221no—
661D4—21no—
662D4—21no—
663D4—21no—
664D4—21no—
665D4—21no—
666D4—21no—
667D4—161no—
668D4—1221no—
669D4—1221no—
670D4—1221no—
671D4—1221no—
672D4—1221no—
673D4—1221no—
674D4—9761no—
675D4—9761no—
676D4—9761no—
677D4—2441no—
678D4—2441no—
679D4—2441no—
680D4—2441no—
681D4—2441no—
682D4—2441no—
683D4—2441no—
684D4—2441no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—611no—
688C2×C4—611no—
689C2×C4—611no—
690C2×C4—611no—
691C2×C4—611no—
692C2×C4—1222no—
693C2×C4—1221no—
694C2×C4—1221no—
695C2×C4—9762no—
696C2×C4—9762no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4—2441no—
703C2×C4—2441no—
704C2×C4C23×#692311yescharacteristic
705C8—21no—
706C8—611no—
707C8—611no—
708C8—1222no—
709C8—1221no—
710C8—2441no—
711C8—2441no—
712C8—2441no—
713C8D4×#692311yescharacteristic
714C8D4×#692311yescharacteristic
715C22—41no—
716C22—41no—
717C22—41no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—611no—
722C22—611no—
723C22—9761no—
724C22—9761no—
725C22—4881no—
726C22—4881no—
727C22—4881no—
728C22—4882no—
729C22—4882no—
730C22—2441no—
731C22—2441no—
732C22—2441no—
733C22—2441no—
734C22#1684082911yescharacteristic
735C4—41no—
736C4—41no—
737C4—611no—
738C4—611no—
739C4—4881no—
740C4—4881no—
741C4—4881no—
742C4—2441no—
743C4—2442no—
744C4—2441no—
745C4C2×D4×#692311yescharacteristic
746C4#1684082911yescharacteristic
747C2—21no—
748C2—81no—
749C2—81no—
750C2—81no—
751C2—1221no—
752C2—1221no—
753C2—4881no—
754C2—4881no—
755C2—4881no—
756C2#2146231111yescharacteristic
subgroupG/H
centerC2#21462311
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#496C4
socleC2×C61#2328
prime radical#21456303C2
cosocleC2×C4×D61C24
hypercenter#496#6923
hypocenterC61#22286
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. #21462597C2semidirect
2. #21462578C2semidirect
3. #21461980C2semidirect
4. #21461977C2semidirect
5. #21461865C2semidirect
6. #21461864C2semidirect
7. #21461863C2semidirect
8. #21461862C2semidirect
9. #21461853C2semidirect
10. #21461852C2semidirect
11. #21461851C2semidirect
12. #21461850C2semidirect
13. #21461739C2semidirect
14. #21461541C2semidirect
54. #16840151C4semidirect
55. #16840150C4semidirect
56. #16840148C4semidirect
57. #16840144C4semidirect
58. #16840143C4semidirect
59. #16840138C4semidirect
60. #16840137C4semidirect
62. C61×#496C4semidirect
100. #14519831D4semidirect
102. C8×#6923D4semidirect
115. C2×#11758202C2×C4semidirect
116. C2×#11758190C2×C4semidirect
117. C2×#11758190C2×C4semidirect
118. C2×#11758200C2×C4semidirect
119. C2×#11758201C2×C4semidirect
121. C2×D488C2×C4semidirect
124. C2×#11758199C2×C4semidirect
125. C2×#11758199C2×C4semidirect
126. C2×#11758199C2×C4semidirect
133. #14519774C2×C4semidirect
134. #14519773C2×C4semidirect
135. #14519773C2×C4semidirect
136. #14519766C2×C4semidirect
137. #14519765C2×C4semidirect
138. #14519764C2×C4semidirect
144. #14519687C2×C4semidirect
145. C4×#92418C2×C4semidirect
146. C8×Dic61C2×C4semidirect
147. C2×SD16×C61C2×C4semidirect
148. C2×SD16×C61C2×C4semidirect
150. C2×D8×C61C2×C4semidirect
151. #127×C61C2×C4semidirect
152. #124×C61C2×C4semidirect
153. #97×C61C2×C4semidirect
407. #496#6923semidirect
441. C61#22286semidirect
459. C2×SD16C2×#6923semidirect
460. C2×SD16C2×#6923semidirect
473. C2×D8C2×#6923semidirect
489. #127C2×#6923semidirect
493. #124C2×#6923semidirect
528. #97C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214625972
#214625782
#214619802
#214619772
#214618652
#214618642
#214618632
#214618622
#214618532
#214618522
#214618512
#214618502
#214617392
#214615412
#214563032
#2228661