Finite Group Databasebeta

← #30620237

Subgroups — #30620237

Order 15616.

1336 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462579C212yesmaximal, complemented
2#21462420C211yesmaximal, characteristic, complemented
3#21462419C211yesmaximal, characteristic, complemented
4#21461978C212yesmaximal, complemented
5#21461854C212yesmaximal, complemented
6#21461852C212yesmaximal, complemented
7#21461702C211yesmaximal, characteristic, complemented
8#21461671C211yesmaximal, characteristic, complemented
9#21461670C211yesmaximal, characteristic, complemented
10#21461575C211yesmaximal, characteristic, complemented
11C2×#16840571C211yesmaximal, characteristic
12#16840830C2212yescomplemented
13#16840829C2212yes—
14#16840801—24no—
15SD16×#6923—24no—
16#16840772C2212yescomplemented
17#16840761C2212yes—
18#16840761C2212yescomplemented
19#16840755C2212yescomplemented
20#16840754C2212yes—
21#16840748C2211yescharacteristic
22#16840743—22no—
23#16840743C2212yes—
24#16840743C2212yescomplemented
25#16840741—22no—
26#16840741C2211yescharacteristic
27#16840741C2211yescharacteristic
28#16840741C2211yescharacteristic
29C2×#14519836—22no—
30D61⋊#99—22no—
31#16840725C2212yescomplemented
32#16840644C2212yescomplemented
33#16840630C2212yescomplemented
34C2×#14519825C2211yescharacteristic
35C2×#14519823C2211yescharacteristic
36#16840571—24no—
37#16840571—24no—
38C2×#14519809C411yescharacteristic, complemented
39C2×#14519809C2211yescharacteristic
40C2×#14519805C411yescharacteristic, complemented
41C2×#14519804C411yescharacteristic, complemented
42C2×#14519804C2211yescharacteristic
43C2×#14519800C411yescharacteristic, complemented
44C2×#14519800C2211yescharacteristic
45C2×#14519797C411yescharacteristic, complemented
46C22×#11758201C411yescharacteristic, complemented
47C2×SD16×D61C411yescharacteristic, complemented
48C2×SD16×D61C2211yescharacteristic
49C2×#14519785C2211yescharacteristic
50C2×#137×C61C411yescharacteristic, complemented
51D61⋊M16C2312yes—
52Q8×#6923—24no—
53Q8×#6923—42no—
54D4×#6923—24no—
55D4×#6923—42no—
56#14519856—24no—
57#14519856C2312yes—
58#14519856C2312yes—
59#14519856C2312yes—
60C2×C22⋊#6923—24no—
61#14519846—22no—
62#14519845—22no—
63#14519842—42no—
64#14519842—42no—
65#14519840—24no—
66#14519839—24no—
67#14519838—21no—
68#14519837—21no—
69#14519836—21no—
70#14519836—21no—
71#14519836—24no—
72#14519836—24no—
73#14519836D412yes—
74#14519835—21no—
75#14519835—21no—
76#14519835D412yes—
77#14519831—22no—
78C8×#6923—22no—
79#14519825—24no—
80#14519825—42no—
81#14519823—24no—
82#14519823—42no—
83C2×#11758226—21no—
84C2×#11758226C2×C411yescharacteristic
85C2×#11758226C2×C411yescharacteristic, complemented
86C2×#11758226C2311yescharacteristic
87C2×#11758226C2311yescharacteristic
88C2×#11758222—21no—
89C2×#11758222—21no—
90C2×#11758222—21no—
91C2×#11758222C2×C411yescharacteristic, complemented
92C2×#11758222C2311yescharacteristic
93C2×Q8×D61—21no—
94C2×Q8×D61C2×C411yescharacteristic, complemented
95C2×Q8×D61C2311yescharacteristic
96C22×D244—21no—
97C22×D244C2×C411yescharacteristic
98C2×D4×D61—21no—
99C2×D4×D61—21no—
100C2×D4×D61C2×C411yescharacteristic
101C2×D4×D61C2311yescharacteristic
102#14519809—24no—
103#14519809—24no—
104#14519805—24no—
105#14519804—24no—
106#14519804—24no—
107#14519800—22no—
108#14519800—22no—
109#14519800—22no—
110#14519800—22no—
111#14519797—22no—
112#14519797—22no—
113C2×#11758202C2×C411yescharacteristic, complemented
114C2×#11758190C2×C411yescharacteristic
115C2×#11758190C2×C411yescharacteristic, complemented
116C2×#11758200C2×C411yescharacteristic
117C2×#11758201—22no—
118C2×#11758201—22no—
119C2×#11758201C2×C411yescharacteristic
120C2×#11758201C2×C411yescharacteristic
121C2×#11758201C2×C411yescharacteristic, complemented
122C2×#11758201C2×C411yescharacteristic, complemented
123C2×#11758201C2×C411yescharacteristic, complemented
124SD16×D61—22no—
125SD16×D61—22no—
126SD16×D61D414yes—
127SD16×D61D414yes—
128C2×D488C2×C411yescharacteristic
129C2×D488C2×C411yescharacteristic, complemented
130C2×#11758199C2×C411yescharacteristic
131#14519785—22no—
132#14519785—22no—
133C2×#11758189C2×C411yescharacteristic, complemented
134C2×#11758189C2311yescharacteristic
135C22×#92418C2×C411yescharacteristic, complemented
136C2×C8×D61C2×C411yescharacteristic, complemented
137C2×C8×D61C2311yescharacteristic
138C2×#41×C61C2×C411yescharacteristic
139C22×Q8×C61C2×C411yescharacteristic, complemented
140#137×C61—24no—
141C2×Q16×C61C2×C411yescharacteristic, complemented
142C2×Q16×C61C2×C411yescharacteristic, complemented
143C2×SD16×C61C2×C411yescharacteristic
144C2×SD16×C61C2×C411yescharacteristic
145C2×M16×C61C2×C411yescharacteristic, complemented
146C23×D61—21no—
147C23×D61—21no—
148C23×D61—21no—
149C22×#6923—44no—
150#41×C61—22no—
151#41×C61—41no—
152C2×Q8×C61—21no—
153C2×Q8×C61—22no—
154C2×Q8×C61—41no—
155C2×Q8×C61C22×C411yescharacteristic
156C2×Q8×C61C22×C411yescharacteristic
157C2×Q8×C61C22×C411yescharacteristic
158C2×D4×C61—21no—
159C2×D4×C61C22×C411yescharacteristic
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61C22×C411yescharacteristic
163C2×C22⋊D61—21no—
164C2×C22⋊D61—21no—
165C2×C22⋊D61—21no—
166C2×C22⋊D61C2×D411yescharacteristic
167C2×C22⋊D61#4111yescharacteristic
168#11758226—22no—
169#11758226—22no—
170#11758226—22no—
171#11758226—22no—
172#11758226—22no—
173#11758226—22no—
174#11758226—41no—
175#11758226—41no—
176#11758226—44no—
177Q8×D61—22no—
178Q8×D61—22no—
179Q8×D61—44no—
180Q8×D61—41no—
181Q8×D61C2×D414yes—
182D4×D61—22no—
183D4×D61—22no—
184D4×D61—41no—
185D4×D61—44no—
186D4×D61—44no—
187D4×D61C2×D414yes—
188#11758222—22no—
189#11758222—22no—
190#11758222—22no—
191#11758222—41no—
192#11758222—44no—
193#11758222—44no—
194#11758222—44no—
195C2×D244—22no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244—21no—
199C2×D244—21no—
200C2×D244—21no—
201C2×D244—41no—
202C2×D244—44no—
203C2×D244C22×C411yescharacteristic
204C2×D244C22×C411yescharacteristic
205C2×D244C22×C411yescharacteristic
206C2×D244C2×D411yescharacteristic
207C2×C4×D61—21no—
208C2×C4×D61—21no—
209C2×C4×D61—21no—
210C2×C4×D61—21no—
211C2×C4×D61—21no—
212C2×C4×D61—21no—
213C2×C4×D61—21no—
214C2×C4×D61C22×C411yescharacteristic
215C2×C4×D61C2411yescharacteristic
216C2×Dic122—21no—
217C2×Dic122—21no—
218C2×Dic122C22×C411yescharacteristic
219C2×Dic122#4111yescharacteristic
220C22⋊#6923—22no—
221C22⋊#6923—22no—
222C22⋊#6923—44no—
223C22⋊#6923C2×D414yes—
224#11758217—22no—
225C4⋊#6923—22no—
226C4⋊#6923—22no—
227C4⋊#6923—22no—
228C4⋊#6923—44no—
229C4×#6923—22no—
230C4×#6923—22no—
231C4×#6923—22no—
232C4×#6923—44no—
233#11758213—22no—
234D61⋊C8—22no—
235Q16×C61—22no—
236Q16×C61—22no—
237SD16×C61—22no—
238SD16×C61C22⋊C414yes—
239M16×C61—22no—
240C2×C8×C61C22×C411yescharacteristic
241C2×C8×C61C22×C411yescharacteristic
242#11758202—22no—
243#11758201—22no—
244#11758201—22no—
245#11758201—21no—
246#11758201—21no—
247#11758201—21no—
248#11758201—21no—
249#11758201C22⋊C412yes—
250#11758201C22⋊C412yes—
251#11758200C22⋊C412yes—
252#11758200C22⋊C412yes—
253#11758199—22no—
254C2×#92418—21no—
255C2×#92418—21no—
256C2×#92418C22×C411yescharacteristic
257C2×#92418C22×C411yescharacteristic
258D488—22no—
259D488—22no—
260#11758190—22no—
261#11758190C22⋊C414yes—
262#11758189—22no—
263#11758189—22no—
264C8×D61—21no—
265C8×D61—21no—
266C8×D61C2×D412yes—
267C8×D61C2×D412yes—
268C23×C61—21no—
269C23×C61C4×D411yescharacteristic
270C22×D61—21no—
271C22×D61—24no—
272C22×D61—21no—
273C22×D61—21no—
274C22×D61—42no—
275C22×D61—42no—
276C22×D61—161no—
277C22×D61—161no—
278C22×D61—161no—
279C22×D61C4×D411yescharacteristic
280C22×D61C22×D411yescharacteristic
281C2×#6923—24no—
282C2×#6923—42no—
283C2×#6923—42no—
284C2×#6923—164no—
285Q8×C61—21no—
286Q8×C61—21no—
287Q8×C61—21no—
288Q8×C61—21no—
289Q8×C61—21no—
290Q8×C61—42no—
291Q8×C61C2×C22⋊C412yes—
292D4×C61—21no—
293D4×C61—42no—
294D4×C61C2×C22⋊C412yes—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—42no—
301C2×C4×C61—42no—
302C2×C4×C61C4×D411yescharacteristic
303C2×C4×C61C23×C411yescharacteristic
304C22⋊D61—22no—
305C22⋊D61—22no—
306C22⋊D61—24no—
307C22⋊D61—42no—
308C22⋊D61—42no—
309C2×Dic61—21no—
310C2×Dic61C4×D411yescharacteristic
311C2×Dic61C2×#4111yescharacteristic
312D244—22no—
313D244—21no—
314D244—21no—
315D244—21no—
316D244—21no—
317D244—21no—
318D244—42no—
319D244—42no—
320D244—42no—
321D244—42no—
322D244—42no—
323D244C2×C22⋊C412yes—
324C4×D61—24no—
325C4×D61—21no—
326C4×D61—21no—
327C4×D61—42no—
328C4×D61—42no—
329C4×D61—42no—
330C4×D61—42no—
331C4×D61—42no—
332C4×D61—42no—
333C4×D61C22×D412yes—
334C4×D61H(5,𝔽2)12yes—
335Dic122—21no—
336Dic122—24no—
337Dic122—22no—
338Dic122—42no—
339Dic122C2×C22⋊C412yes—
340#92420—42no—
341C8×C61—21no—
342C8×C61C2×C22⋊C412yes—
343#92418—21no—
344#92418C2×C22⋊C411yescharacteristic
345#92418C2×C22⋊C411yescharacteristic
346#22456—611nomaximal, Sylow
347C22×C61—21no—
348C22×C61—22no—
349C22×C61—41no—
350C22×C61—81no—
351C22×C61C2×C4×D411yescharacteristic
352C2×D61—21no—
353C2×D61—22no—
354C2×D61—41no—
355C2×D61—41no—
356C2×D61—41no—
357C2×D61—41no—
358C2×D61—84no—
359C2×D61—81no—
360C2×D61—81no—
361C2×D61—81no—
362C2×D61—162no—
363C2×D61—162no—
364C2×D61D4212yes—
365#6923—44no—
366#6923—82no—
367#6923—82no—
368C4×C61—22no—
369C4×C61—21no—
370C4×C61—41no—
371C4×C61—41no—
372C4×C61C22×C22⋊C411yescharacteristic
373C4×C61#51811yescharacteristic
374Dic61—22no—
375Dic61—21no—
376Dic61#54612yes—
377C2×#577—611no—
378#2949—612no—
379#2884—611no—
380#2883—611no—
381#1976—612no—
382#1905—612no—
383#1904—612no—
384#1812—611no—
385#1796—611no—
386#1795—611no—
387#1757—611no—
388C2×C61—21no—
389C2×C61—42no—
390C2×C61—41no—
391C2×C61D4×C22⋊C411yescharacteristic
392D61—22no—
393D61—41no—
394D61—42no—
395D61—81no—
396D61—81no—
397C2×2−1+4—611no—
398C2×H(5,𝔽2)—611no—
399#577—1224no—
400#577—1224no—
401C2×#137—611no—
402C2×#137—611no—
403C2×#137#692311yescharacteristic, complemented
404C2×AGL(1,ℤ/8)—611no—
405C2×AGL(1,ℤ/8)—611no—
406C2×AGL(1,ℤ/8)—611no—
407C2×#135—611no—
408C2×#135—611no—
409C2×#135—611no—
410C22×SD16—611no—
411C22×SD16—611no—
412C22×SD16—611no—
413C2×#131—611no—
414#519—612no—
415#518—612no—
416#440—1224no—
417C4×SD16—1224no—
418#427—612no—
419#421—612no—
420#421—612no—
421#419—612no—
422#418—612no—
423#413—611no—
424#410—611no—
425#410—611no—
426#410—611no—
427#410—612no—
428#410—612no—
429#410—1222no—
430#410—1222no—
431C2×#99—1222no—
432C2×#99—1222no—
433#405—612no—
434#344—612no—
435H(3,ℤ/4)—612no—
436C61#2245611yescharacteristic, complemented, Sylow
4372−1+4—1224no—
4382−1+4—2442no—
439H(5,𝔽2)—1224no—
440H(5,𝔽2)—2442no—
441C2×#41—611no—
442C2×#41—611no—
443C2×#41—611no—
444C2×#41—611no—
445C2×#41—611no—
446C2×#41—611no—
447C2×#41—1221no—
448C2×#41—1221no—
449C2×#41—1221no—
450C2×#41—1221no—
451C2×#41C2×#692311yescharacteristic
452C22×Q8—611no—
453C22×Q8—611no—
454C22×Q8—1221no—
455C22×Q8C2×#692311yescharacteristic, complemented
456C22×D4—611no—
457C22×D4—611no—
458C22×D4—611no—
459C22×D4—1221no—
460C22×D4—1221no—
461C22×D4—1221no—
462#137—24no—
463#137—1224no—
464#137—1224no—
465AGL(1,ℤ/8)—1224no—
466AGL(1,ℤ/8)—1224no—
467AGL(1,ℤ/8)—1224no—
468#135—1222no—
469#135—1222no—
470#135—1222no—
471#135—1222no—
472#135—1222no—
473#135—1222no—
474C2×Q16—611no—
475C2×Q16C2×#692311yescharacteristic, complemented
476C2×Q16C2×#692311yescharacteristic, complemented
477C2×SD16—611no—
478C2×SD16—611no—
479C2×SD16—614no—
480C2×SD16—614no—
481C2×SD16—611no—
482C2×SD16—611no—
483C2×SD16—611no—
484C2×SD16—611no—
485C2×SD16—611no—
486C2×SD16—611no—
487C2×SD16—1222no—
488C2×SD16—1222no—
489C2×SD16—1222no—
490C2×SD16—1222no—
491C2×SD16C2×#692311yescharacteristic
492C2×SD16C2×#692311yescharacteristic
493C2×D8—611no—
494C2×D8—611no—
495C2×D8—611no—
496#131—1222no—
497#131—1222no—
498C2×M16—611no—
499C2×M16—611no—
500C2×M16—612no—
501C2×M16C2×#692311yescharacteristic, complemented
502C22×C8—611no—
503C22×C8—611no—
504C22×C8—611no—
505C4×Q8—1224no—
506C4×Q8—2442no—
507C4×D4—1224no—
508C4×D4—2442no—
509#117—612no—
510#117—612no—
511#117—612no—
512#117—1224no—
513C2×C22⋊C4—1224no—
514#107—1222no—
515#106—1222no—
516#104—2442no—
517#104—2442no—
518#103—1224no—
519#102—1224no—
520#101—1221no—
521#100—1221no—
522#99—612no—
523#99—612no—
524#99—1224no—
525#99—1224no—
526#99—1221no—
527#99—1221no—
528#99—1221no—
529#99—1221no—
530#97—1222no—
531C4×C8—1222no—
532C24—1221no—
533C24—1221no—
534C24—1221no—
535#41—22no—
536#41—41no—
537#41—1222no—
538#41—1222no—
539#41—1222no—
540#41—1222no—
541#41—1222no—
542#41—1222no—
543#41—1222no—
544#41—1222no—
545#41—1222no—
546#41—2441no—
547#41—2444no—
548#41—2444no—
549#41—2444no—
550#41—2441no—
551#41—2441no—
552#41—2444no—
553C2×Q8—21no—
554C2×Q8—22no—
555C2×Q8—41no—
556C2×Q8—611no—
557C2×Q8—614no—
558C2×Q8—611no—
559C2×Q8—1221no—
560C2×Q8—1221no—
561C2×Q8—1222no—
562C2×Q8—1222no—
563C2×Q8—2441no—
564C2×Q8—2444no—
565C2×Q8C22×#692311yescharacteristic
566C2×Q8C22×#692311yescharacteristic
567C2×Q8C22×#692311yescharacteristic
568C2×D4—21no—
569C2×D4—614no—
570C2×D4—611no—
571C2×D4—611no—
572C2×D4—611no—
573C2×D4—611no—
574C2×D4—611no—
575C2×D4—611no—
576C2×D4—1222no—
577C2×D4—1221no—
578C2×D4—1221no—
579C2×D4—1221no—
580C2×D4—1221no—
581C2×D4—1222no—
582C2×D4—1221no—
583C2×D4—1221no—
584C2×D4—1222no—
585C2×D4—1221no—
586C2×D4—1221no—
587C2×D4—2441no—
588C2×D4—2444no—
589C2×D4—2441no—
590C2×D4—2444no—
591C2×D4—2444no—
592C2×D4C22×#692311yescharacteristic
593C22×C4—21no—
594C22×C4—21no—
595C22×C4—611no—
596C22×C4—611no—
597C22×C4—1221no—
598C22×C4—1221no—
599C22×C4—1221no—
600C22×C4—1221no—
601C22×C4—1221no—
602C22×C4—1221no—
603C22×C4—1221no—
604C22×C4—2444no—
605C22×C4C22×#692311yescharacteristic
606Q16—22no—
607Q16—22no—
608Q16—1222no—
609SD16—22no—
610SD16—612no—
611SD16—612no—
612SD16—612no—
613SD16—612no—
614SD16—614no—
615SD16—1222no—
616SD16—1221no—
617SD16—1221no—
618SD16—1221no—
619SD16—1221no—
620SD16—1222no—
621SD16—1222no—
622SD16C22⋊#692314yes—
623D8—1222no—
624D8—1222no—
625D8—1222no—
626M16—22no—
627M16—1222no—
628M16—1222no—
629M16—1222no—
630M16—1222no—
631C2×C8—611no—
632C2×C8—612no—
633C2×C8—612no—
634C2×C8—611no—
635C2×C8—1221no—
636C2×C8—1221no—
637C2×C8—1221no—
638C2×C8—1221no—
639C2×C8—1222no—
640C2×C8C22×#692311yescharacteristic
641C2×C8C22×#692311yescharacteristic
642C4⋊C4—1222no—
643C4⋊C4—1222no—
644C4⋊C4—1222no—
645C4⋊C4—2444no—
646C22⋊C4—614no—
647C22⋊C4—1222no—
648C22⋊C4—1222no—
649C22⋊C4—2444no—
650C42—1222no—
651C42—1222no—
652C42—1222no—
653C42—2444no—
654C23—21no—
655C23—611no—
656C23—611no—
657C23—1224no—
658C23—1221no—
659C23—1221no—
660C23—1221no—
661C23—9761no—
662C23—9761no—
663C23—9761no—
664C23—2442no—
665C23—2442no—
666C23D4×#692311yescharacteristic
667Q8—21no—
668Q8—21no—
669Q8—21no—
670Q8—21no—
671Q8—21no—
672Q8—42no—
673Q8—612no—
674Q8—1224no—
675Q8—1222no—
676Q8—1221no—
677Q8—2442no—
678Q8C2×C22⋊#692312yes—
679D4—21no—
680D4—42no—
681D4—612no—
682D4—1222no—
683D4—1224no—
684D4—1222no—
685D4—1222no—
686D4—1221no—
687D4—1221no—
688D4—1221no—
689D4—1221no—
690D4—1221no—
691D4—2442no—
692D4—2442no—
693D4—2442no—
694D4—2442no—
695D4—2442no—
696D4—2442no—
697D4—2442no—
698D4C2×C22⋊#692312yes—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—611no—
707C2×C4—612no—
708C2×C4—612no—
709C2×C4—611no—
710C2×C4—1224no—
711C2×C4—1221no—
712C2×C4—1221no—
713C2×C4—1221no—
714C2×C4—1224no—
715C2×C4—9764no—
716C2×C4—2442no—
717C2×C4—2442no—
718C2×C4—2442no—
719C2×C4—2442no—
720C2×C4—2442no—
721C2×C4—2442no—
722C2×C4—2442no—
723C2×C4—2442no—
724C2×C4D4×#692311yescharacteristic
725C2×C4C23×#692311yescharacteristic
726C8—21no—
727C8—611no—
728C8—611no—
729C8—1221no—
730C8—2442no—
731C8C2×C22⋊#692312yes—
732C22—21no—
733C22—22no—
734C22—41no—
735C22—81no—
736C22—612no—
737C22—1221no—
738C22—1222no—
739C22—9762no—
740C22—9762no—
741C22—4881no—
742C22—4881no—
743C22—4881no—
744C22—4884no—
745C22—2441no—
746C22—2441no—
747C22—2441no—
748C22—2441no—
749C22C2×D4×#692311yescharacteristic
750C4—21no—
751C4—22no—
752C4—41no—
753C4—41no—
754C4—612no—
755C4—1221no—
756C4—1222no—
757C4—4882no—
758C4—4882no—
759C4—2444no—
760C4C22×C22⋊#692311yescharacteristic
761C4#1684082911yescharacteristic
762C2—21no—
763C2—41no—
764C2—42no—
765C2—1222no—
766C2—4881no—
767C2—4881no—
768C2—2441no—
769C2—2442no—
770C2D4×C22⋊#692311yescharacteristic
subgroupG/H
centerC2D4×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC2×#137×C61C4
socleC2×C61D4×C22⋊C4
prime radicalC2×#16840571C2
cosocleC2×C4×D61C24
hypercenterC2×#137#6923
hypocenterC61#22456
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×#137

Complements

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

NH ≅ G/Ntype
1. #21462579C2semidirect
2. #21462420C2semidirect
3. #21462419C2semidirect
4. #21461978C2semidirect
5. #21461854C2semidirect
6. #21461852C2semidirect
7. #21461702C2semidirect
8. #21461671C2semidirect
9. #21461670C2semidirect
10. #21461575C2semidirect
12. #16840830C22semidirect
16. #16840772C22semidirect
18. #16840761C22semidirect
19. #16840755C22semidirect
24. #16840743C22semidirect
31. #16840725C22semidirect
32. #16840644C22semidirect
33. #16840630C22semidirect
38. C2×#14519809C4semidirect
40. C2×#14519805C4semidirect
41. C2×#14519804C4semidirect
43. C2×#14519800C4semidirect
45. C2×#14519797C4semidirect
46. C22×#11758201C4semidirect
47. C2×SD16×D61C4semidirect
50. C2×#137×C61C4semidirect
85. C2×#11758226C2×C4semidirect
91. C2×#11758222C2×C4semidirect
94. C2×Q8×D61C2×C4semidirect
113. C2×#11758202C2×C4semidirect
115. C2×#11758190C2×C4semidirect
121. C2×#11758201C2×C4semidirect
122. C2×#11758201C2×C4semidirect
123. C2×#11758201C2×C4semidirect
129. C2×D488C2×C4semidirect
133. C2×#11758189C2×C4semidirect
135. C22×#92418C2×C4semidirect
136. C2×C8×D61C2×C4semidirect
139. C22×Q8×C61C2×C4semidirect
141. C2×Q16×C61C2×C4semidirect
142. C2×Q16×C61C2×C4semidirect
145. C2×M16×C61C2×C4semidirect
403. C2×#137#6923semidirect
436. C61#22456semidirect
455. C22×Q8C2×#6923semidirect
475. C2×Q16C2×#6923semidirect
476. C2×Q16C2×#6923semidirect
501. C2×M16C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214625792
#214624202
#214624192
#214619782
#214618542
#214618522
#214617022
#214616712
#214616702
#214615752
C2×#168405712
#2245661