Finite Group Databasebeta

← #30611296

Subgroups — #30611296

Order 15616.

1366 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462409C211yesmaximal, characteristic, complemented
2#21462322C211yesmaximal, characteristic, complemented
3#21461256C211yesmaximal, characteristic, complemented
4#21461247C212yesmaximal, complemented
5#21461236C211yesmaximal, characteristic, complemented
6#21461226C212yesmaximal, complemented
7#21461216C211yesmaximal, characteristic, complemented
8#21461207C212yesmaximal, complemented
9#21461196C211yesmaximal, characteristic, complemented
10C2×#16840614C212yesmaximal, complemented
11#21459489C211yesmaximal, characteristic
12C2×#14519864—21no—
13C2×D4×#6923—21no—
14#16840737—21no—
15#16840735—22no—
16#16840734C2212yescomplemented
17#16840733C2211yescharacteristic, complemented
18C2×#14519834C2212yescomplemented
19D61⋊(C22⋊C8)C2211yescharacteristic, complemented
20(C2×#6923)⋊Q8—21no—
21#16840710—22no—
22#16840705C2212yescomplemented
23#16840704C2211yescharacteristic, complemented
24C4×C22⋊#6923C2211yescharacteristic, complemented
25C2×(C2×#6923)⋊C4C2212yescomplemented
26#16840615C2211yescharacteristic, complemented
27#16840615C2211yescharacteristic, complemented
28#16840615C2212yescomplemented
29#16840614C2212yescomplemented
30#16840614C2212yescomplemented
31#16840614C2211yescharacteristic, complemented
32#16840614C2212yescomplemented
33#16840614C2212yescomplemented
34#16840614C2211yescharacteristic, complemented
35#16840614C2212yescomplemented
36C2×#14519823C411yescharacteristic, complemented
37C2×#41×D61C2211yescharacteristic
38#16840434—21no—
39#16840424—21no—
40#16840407—21no—
41#16840407—22no—
42D4×D244—21no—
43D4×D244—22no—
44#16840343C411yescharacteristic, complemented
45#16840343C412yescomplemented
46#16840331C412yescomplemented
47#16840331C411yescharacteristic, complemented
48#16840274C2211yescharacteristic
49#16840274C2212yes—
50C2×#14519752C2211yescharacteristic
51C2×#14519752C2212yes—
52C61×#520C411yescharacteristic, complemented
53C23×#6923—22no—
54#14519864—44no—
55C2×#11758213—21no—
56C2×#11758217—22no—
57C2×D61⋊C8—21no—
58C22×#92420—22no—
59D4×#6923—44no—
60C2×C4⋊#6923—21no—
61C2×C22⋊#6923—22no—
62C2×C22⋊#6923—21no—
63C2×C22⋊#6923—21no—
64C2×C4×#6923—21no—
65#14519834—22no—
66#14519834—22no—
67#14519834C2311yescharacteristic
68#14519834C2311yescharacteristic
69#14519834C2312yes—
70C22⋊#92420—21no—
71C22⋊#92420—21no—
72(C2×#6923)⋊C4—22no—
73(C2×#6923)⋊C4—22no—
74(C2×#6923)⋊C4C2312yes—
75(C2×#6923)⋊C4C2311yescharacteristic
76(C2×#6923)⋊C4C2311yescharacteristic
77#14519823—44no—
78C2×#11758226—21no—
79C2×#11758226D411yescharacteristic
80C2×#11758222C2×C411yescharacteristic
81C2×#11758222C2×C412yes—
82C2×#11758222C2×C412yescomplemented
83C2×#11758222C2×C411yescharacteristic, complemented
84C2×#11758224D411yescharacteristic
85C2×#11758224D412yes—
86#41×D61—44no—
87C2×Q8×D61D411yescharacteristic
88C22×D244—22no—
89C22×D244—21no—
90C22×D244C2×C412yescomplemented
91C22×D244C2×C411yescharacteristic, complemented
92C2×D4×D61—22no—
93C2×D4×D61—21no—
94C2×D4×D61D411yescharacteristic
95C2×D4×D61D412yes—
96C22×C4×D61C2311yescharacteristic
97C22×C4×D61C2312yes—
98#14519774—21no—
99#14519774—22no—
100#14519765—21no—
101#14519765—22no—
102#14519761—22no—
103#14519761—21no—
104#14519757—21no—
105#14519757—22no—
106#14519757C2×C411yescharacteristic, complemented
107#14519757C2×C412yescomplemented
108#14519757C2311yescharacteristic
109#14519752—21no—
110#14519752—22no—
111#14519752—21no—
112#14519752—22no—
113#14519752—21no—
114#14519752—22no—
115#14519752C2×C412yescomplemented
116#14519752C2×C412yescomplemented
117#14519752C2×C412yescomplemented
118#14519752C2×C411yescharacteristic, complemented
119#14519752C2×C412yescomplemented
120#14519752C2312yes—
121#14519752C2311yescharacteristic
122#14519751—22no—
123#14519751—22no—
124#14519751—22no—
125#14519747—22no—
126#14519747—21no—
127#14519747—22no—
128#14519747—22no—
129#14519747—22no—
130C4×D244—21no—
131C4×D244—22no—
132C4×D244—21no—
133C4×D244—22no—
134C2×#11758198—22no—
135C2×#11758198—21no—
136C2×#41×C61C2×C411yescharacteristic
137C4×Q8×C61—21no—
138C4×D4×C61—22no—
139C4×D4×C61—21no—
140#117×C61C2×C411yescharacteristic, complemented
141#117×C61C2×C412yescomplemented
142C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
143C2×C4⋊C4×C61C2×C412yescomplemented
144C23×D61—21no—
145C23×D61—22no—
146C23×D61C2×D412yes—
147C23×D61C2×D411yescharacteristic
148C22×#6923—21no—
149C22×#6923—21no—
150C22×#6923—22no—
151C22×#6923—44no—
152C22×#6923—44no—
153C22×#6923—82no—
154#41×C61—24no—
155C2×Q8×C61C22⋊C411yescharacteristic
156C2×D4×C61C22⋊C412yes—
157C2×D4×C61C22⋊C411yescharacteristic
158C22×C4×C61—21no—
159C22×C4×C61—22no—
160C22×C4×C61C22×C412yes—
161C22×C4×C61C22×C411yescharacteristic
162C2×C22⋊D61—21no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61C22⋊C412yes—
165C2×C22⋊D61C22⋊C412yes—
166C2×C22⋊D61C22⋊C412yes—
167C22×Dic61C2×D412yes—
168C22×Dic61C2×D411yescharacteristic
169#11758226—42no—
170#11758226—44no—
171Q8×D61—42no—
172#11758224—24no—
173#11758224—44no—
174D4×D61—24no—
175D4×D61—44no—
176D4×D61—48no—
177D4×D61—44no—
178#11758222—42no—
179#11758222—44no—
180#11758222—44no—
181#11758222—42no—
182C2×D244—21no—
183C2×D244—22no—
184C2×D244—22no—
185C2×D244—21no—
186C2×D244—22no—
187C2×D244—22no—
188C2×D244—22no—
189C2×D244—21no—
190C2×D244—22no—
191C2×D244—44no—
192C2×D244—42no—
193C2×D244—82no—
194C2×D244—81no—
195C2×D244—82no—
196C2×D244—81no—
197C2×D244C22⋊C411yescharacteristic
198C2×D244C22⋊C412yes—
199C2×D244C22×C411yescharacteristic
200C2×D244C22×C412yes—
201C2×C4×D61—22no—
202C2×C4×D61—21no—
203C2×C4×D61—42no—
204C2×C4×D61—44no—
205C2×C4×D61C22×C411yescharacteristic
206C2×C4×D61C22×C412yes—
207C2×C4×D61C2×D411yescharacteristic
208C2×C4×D61C2×D411yescharacteristic
209C2×C4×D61C2×D412yes—
210C2×C4×D61C2×D412yes—
211C2×C4×D61C2411yescharacteristic
212C2×Dic122C22⋊C411yescharacteristic
213C2×Dic122C22⋊C412yes—
214C2×Dic122C22×C411yescharacteristic
215C22⋊#6923—42no—
216C22⋊#6923—44no—
217C22⋊#6923—81no—
218#11758217—44no—
219C2×#92420—21no—
220C2×#92420—22no—
221C2×#92420—21no—
222C2×#92420—44no—
223C4⋊#6923—42no—
224C4×#6923—42no—
225#11758213—42no—
226D61⋊C8—42no—
227C4⋊C4×C61—22no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61C22×C412yes—
230C4⋊C4×C61C22×C411yescharacteristic
231C4⋊C4×C61C22×C411yescharacteristic
232C22⋊C4×C61—21no—
233C22⋊C4×C61—22no—
234C42×C61—22no—
235C42×C61—21no—
236#11758198—21no—
237#11758198—22no—
238#11758198—21no—
239#11758198—22no—
240#11758198—22no—
241#11758198—22no—
242#11758198—22no—
243#11758198—21no—
244#11758198—21no—
245#11758198—22no—
246C4⋊Dic61—22no—
247C4⋊Dic61—21no—
248C4⋊Dic61—21no—
249C23×C61C2×C22⋊C411yescharacteristic
250C23×C61C2×C22⋊C412yes—
251C22×D61—24no—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—21no—
255C22×D61—21no—
256C22×D61—22no—
257C22×D61—21no—
258C22×D61—42no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61—42no—
262C22×D61—44no—
263C22×D61—82no—
264C22×D61—81no—
265C22×D61—82no—
266C22×D61—81no—
267C22×D61C2×C22⋊C411yescharacteristic
268C22×D61C2×C22⋊C412yes—
269C22×D61C22×D411yescharacteristic
270C2×#6923—22no—
271C2×#6923—41no—
272C2×#6923—41no—
273C2×#6923—41no—
274C2×#6923—42no—
275C2×#6923—41no—
276C2×#6923—42no—
277C2×#6923—42no—
278C2×#6923—41no—
279C2×#6923—88no—
280Q8×C61—22no—
281D4×C61—24no—
282D4×C61#9914yes—
283C2×C4×C61—24no—
284C2×C4×C61—22no—
285C2×C4×C61—21no—
286C2×C4×C61—22no—
287C2×C4×C61—21no—
288C2×C4×C61—82no—
289C2×C4×C61—81no—
290C2×C4×C61C2×C22⋊C412yes—
291C2×C4×C61C2×C22⋊C411yescharacteristic
292C2×C4×C61C23×C411yescharacteristic
293C22⋊D61—24no—
294C22⋊D61—24no—
295C22⋊D61—42no—
296C22⋊D61—42no—
297C22⋊D61—44no—
298C2×Dic61—24no—
299C2×Dic61—21no—
300C2×Dic61—41no—
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C411yescharacteristic
303C2×Dic61C22×D411yescharacteristic
304D244—22no—
305D244—42no—
306D244—41no—
307D244—42no—
308D244—44no—
309D244—41no—
310D244—42no—
311D244—41no—
312D244—42no—
313D244—42no—
314D244—82no—
315D244—81no—
316D244—82no—
317D244—82no—
318D244—82no—
319C4×D61—22no—
320C4×D61—22no—
321C4×D61—41no—
322C4×D61—42no—
323C4×D61—41no—
324C4×D61—42no—
325C4×D61—42no—
326C4×D61—44no—
327C4×D61—42no—
328Dic122—22no—
329Dic122—42no—
330Dic122—41no—
331#92420—41no—
332#92420—41no—
333#92420—42no—
334#17603—611nomaximal, Sylow
335C22×C61—22no—
336C22×C61—22no—
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—21no—
340C22×C61C2×#9914yes—
341C22×C61C22×C22⋊C411yescharacteristic
342C2×D61—21no—
343C2×D61—21no—
344C2×D61—21no—
345C2×D61—22no—
346C2×D61—22no—
347C2×D61—21no—
348C2×D61—22no—
349C2×D61—21no—
350C2×D61—44no—
351C2×D61—44no—
352C2×D61—42no—
353C2×D61—41no—
354C2×D61—41no—
355C2×D61—42no—
356C2×D61—41no—
357C2×D61—42no—
358C2×D61—81no—
359C2×D61—81no—
360C2×D61—164no—
361C2×D61—162no—
362C2×D61#57611yescharacteristic
363C2×D61#57711yescharacteristic
364#6923—42no—
365#6923—81no—
366#6923—82no—
367C4×C61—21no—
368C4×C61—22no—
369C4×C61—41no—
370C4×C61—42no—
371C4×C61—41no—
372C4×C61C2×#9912yes—
373Dic61—21no—
374Dic61—22no—
375Dic61—21no—
376Dic61—41no—
377#3488—611no—
378#2880—611no—
379#2339—611no—
380#1519—611no—
381#1516—612no—
382#1513—611no—
383#1510—612no—
384#1507—611no—
385#1504—612no—
386#1501—611no—
387C2×#327—612no—
388C2×C61—24no—
389C2×C61—41no—
390C2×C61C22×#9911yescharacteristic
391C2×C61#289711yescharacteristic
392C2×C61#290111yescharacteristic
393D61—21no—
394D61—21no—
395D61—42no—
396D61—41no—
397D61—81no—
398D61—82no—
399C2×H(5,𝔽2)—611no—
400C22×#41—611no—
401C2×#131—1221no—
402#550—1221no—
403#548—1221no—
404#546—1221no—
405#546—1222no—
406D42—1221no—
407D42—1222no—
408#537—612no—
409#537—611no—
410#535—611no—
411#535—612no—
412#525—611no—
413#525—612no—
414C2×#121—612no—
415C2×#121—611no—
416#520#692311yescharacteristic, complemented
417C2×C4×D4—1221no—
418#408—1222no—
419#408—1221no—
420#407—611no—
421#407—612no—
422C2×C22⋊C8—611no—
423C2×C22⋊C8—612no—
424#391—1221no—
425#386—1222no—
426#381—612no—
427#380—611no—
428C4×C22⋊C4—611no—
429C2×#95—612no—
430#328—611no—
431#328—611no—
432#328—612no—
433#327—611no—
434#327—612no—
435#327—612no—
436#327—612no—
437#327—611no—
438#327—612no—
439#327—612no—
440C61#1760311yescharacteristic, complemented, Sylow
441H(5,𝔽2)—2444no—
442C2×#41—611no—
443C2×#41—611no—
444C2×#41—612no—
445C2×#41—612no—
446C2×#41—611no—
447C2×#41—612no—
448C2×#41—611no—
449C2×#41—1221no—
450C2×#41—2444no—
451C2×#41C2×#692311yescharacteristic
452C22×Q8—611no—
453C22×D4—611no—
454C22×D4—612no—
455C22×D4—612no—
456C22×D4—611no—
457C22×D4—1222no—
458C22×D4—1221no—
459C22×D4—1222no—
460C22×D4—1221no—
461C23×C4—612no—
462C23×C4—611no—
463C23×C4—1222no—
464#131—2444no—
465C2×M16—1222no—
466C2×M16—1221no—
467C22×C8—1222no—
468C22×C8—1221no—
469#127—1221no—
470#127—1222no—
471#124—1221no—
472#124—1222no—
473#123—1222no—
474#123—1221no—
475C22⋊Q8—611no—
476C22⋊Q8—611no—
477C22⋊Q8—612no—
478C22⋊Q8—1221no—
479C22⋊Q8—1222no—
480#121—611no—
481#121—612no—
482#121—612no—
483#121—612no—
484#121—612no—
485#121—611no—
486#121—612no—
487#121—1221no—
488#121—1222no—
489#121—1221no—
490#121—1222no—
491#121—1221no—
492#121—1222no—
493#121—1222no—
494#121—1222no—
495#121—1222no—
496#120—1222no—
497#120—1222no—
498#120—1222no—
499#120—1222no—
500#120—1221no—
501C4×Q8—21no—
502C4×D4—22no—
503C4×D4—21no—
504C4×D4—1221no—
505C4×D4—1222no—
506C4×D4—1221no—
507C4×D4—1222no—
508C4×D4—2444no—
509#117C2×#692311yescharacteristic, complemented
510#117C2×#692312yescomplemented
511C2×C4⋊C4—1221no—
512C2×C4⋊C4C2×#692312yescomplemented
513C2×C4⋊C4C2×#692311yescharacteristic, complemented
514C2×C22⋊C4—1222no—
515C2×C22⋊C4—1221no—
516C2×C22⋊C4—1221no—
517C2×C22⋊C4—1222no—
518C2×C22⋊C4—1221no—
519C2×C42—1221no—
520C22⋊C8—611no—
521C22⋊C8—611no—
522C22⋊C8—612no—
523C22⋊C8—1221no—
524C22⋊C8—1221no—
525C22⋊C8—1222no—
526C22⋊C8—1222no—
527#95—611no—
528#95—612no—
529#95—611no—
530#95—1222no—
531#95—1222no—
532C24—612no—
533C24—611no—
534C24—1221no—
535C24—1222no—
536#41—24no—
537#41—1224no—
538#41—2444no—
539#41—2442no—
540#41—2444no—
541#41—2442no—
542#41—2444no—
543#41—2442no—
544#41—2444no—
545C2×Q8—611no—
546C2×Q8—612no—
547C2×Q8—611no—
548C2×Q8—2442no—
549C2×Q8C22⋊#692311yescharacteristic
550C2×D4—612no—
551C2×D4—612no—
552C2×D4—612no—
553C2×D4—611no—
554C2×D4—612no—
555C2×D4—611no—
556C2×D4—612no—
557C2×D4—1221no—
558C2×D4—1222no—
559C2×D4—1222no—
560C2×D4—1222no—
561C2×D4—1222no—
562C2×D4—1221no—
563C2×D4—1222no—
564C2×D4—1224no—
565C2×D4—1221no—
566C2×D4—1222no—
567C2×D4—1222no—
568C2×D4—1221no—
569C2×D4—4881no—
570C2×D4—4881no—
571C2×D4—4882no—
572C2×D4—4882no—
573C2×D4—2444no—
574C2×D4—2442no—
575C2×D4—2444no—
576C2×D4—2448no—
577C2×D4—2444no—
578C2×D4C22⋊#692312yes—
579C2×D4C22⋊#692311yescharacteristic
580C22×C4—21no—
581C22×C4—22no—
582C22×C4—612no—
583C22×C4—611no—
584C22×C4—611no—
585C22×C4—611no—
586C22×C4—612no—
587C22×C4—612no—
588C22×C4—611no—
589C22×C4—612no—
590C22×C4—611no—
591C22×C4—1221no—
592C22×C4—1222no—
593C22×C4—1221no—
594C22×C4—1221no—
595C22×C4—1222no—
596C22×C4—4882no—
597C22×C4—2442no—
598C22×C4—2444no—
599C22×C4—2444no—
600C22×C4—2444no—
601C22×C4C22×#692312yes—
602C22×C4C22×#692311yescharacteristic
603M16—2442no—
604M16—2444no—
605C2×C8—1221no—
606C2×C8—1221no—
607C2×C8—1222no—
608C2×C8—2442no—
609C2×C8—2444no—
610C4⋊C4—22no—
611C4⋊C4—21no—
612C4⋊C4—1221no—
613C4⋊C4—1221no—
614C4⋊C4—1222no—
615C4⋊C4—2442no—
616C4⋊C4C22×#692311yescharacteristic
617C4⋊C4C22×#692312yes—
618C4⋊C4C22×#692311yescharacteristic
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—1221no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C22⋊C4—1222no—
625C22⋊C4—1222no—
626C22⋊C4—1221no—
627C22⋊C4—1222no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1222no—
631C22⋊C4—4881no—
632C22⋊C4—2442no—
633C22⋊C4—2444no—
634C42—22no—
635C42—21no—
636C42—2442no—
637C23—611no—
638C23—611no—
639C23—612no—
640C23—1221no—
641C23—1221no—
642C23—1222no—
643C23—1222no—
644C23—1224no—
645C23—1222no—
646C23—1221no—
647C23—4882no—
648C23—4881no—
649C23—4882no—
650C23—4881no—
651C23—2441no—
652C23—2441no—
653C23—2442no—
654C23—2442no—
655C23—2444no—
656C23C2×C22⋊#692311yescharacteristic
657C23C2×C22⋊#692312yes—
658Q8—22no—
659Q8—1222no—
660Q8—2442no—
661Q8—2441no—
662D4—24no—
663D4—1224no—
664D4—1224no—
665D4—1222no—
666D4—4881no—
667D4—4882no—
668D4—4882no—
669D4—4882no—
670D4—4882no—
671D4—2442no—
672D4—2441no—
673D4—2442no—
674D4—2444no—
675D4—2442no—
676D4—2441no—
677D4—2442no—
678D4—2441no—
679D4—2442no—
680D4—2442no—
681D4—2444no—
682D4—2442no—
683D4#1451983614yes—
684C2×C4—24no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—82no—
690C2×C4—81no—
691C2×C4—611no—
692C2×C4—612no—
693C2×C4—611no—
694C2×C4—1224no—
695C2×C4—1222no—
696C2×C4—1222no—
697C2×C4—1222no—
698C2×C4—1221no—
699C2×C4—4888no—
700C2×C4—2441no—
701C2×C4—2442no—
702C2×C4—2441no—
703C2×C4—2442no—
704C2×C4—2442no—
705C2×C4—2444no—
706C2×C4—2441no—
707C2×C4—2442no—
708C2×C4—2441no—
709C2×C4—2441no—
710C2×C4—2442no—
711C2×C4—2441no—
712C2×C4—2442no—
713C2×C4—2441no—
714C2×C4—2441no—
715C2×C4—2442no—
716C2×C4C2×C22⋊#692312yes—
717C2×C4C2×C22⋊#692311yescharacteristic
718C2×C4C23×#692311yescharacteristic
719C8—2441no—
720C8—2441no—
721C8—2442no—
722C22—22no—
723C22—22no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—611no—
728C22—611no—
729C22—1221no—
730C22—1221no—
731C22—1221no—
732C22—1222no—
733C22—1221no—
734C22—1222no—
735C22—1221no—
736C22—1222no—
737C22—9764no—
738C22—9762no—
739C22—4881no—
740C22—4881no—
741C22—2444no—
742C22—2444no—
743C22—2442no—
744C22—2441no—
745C22—2441no—
746C22—2442no—
747C22—2441no—
748C22—2442no—
749C22C2×#1451983614yes—
750C22C22×C22⋊#692311yescharacteristic
751C4—21no—
752C4—22no—
753C4—41no—
754C4—42no—
755C4—41no—
756C4—1221no—
757C4—1221no—
758C4—1222no—
759C4—4882no—
760C4—4881no—
761C4—2442no—
762C4—2441no—
763C4C2×#1451983612yes—
764C2—24no—
765C2—41no—
766C2—1221no—
767C2—1221no—
768C2—4881no—
769C2—4882no—
770C2—2441no—
771C2—2442no—
772C2C22×#1451983611yescharacteristic
773C2#2146244011yescharacteristic
774C2#2146245011yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#520C4
socleC22×C61C22×C22⋊C4
prime radical#21459489C2
cosocleC2×C4×D61C24
hypercenter#520#6923
hypocenterC61#17603
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #520

Complements

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

NH ≅ G/Ntype
1. #21462409C2semidirect
2. #21462322C2semidirect
3. #21461256C2semidirect
4. #21461247C2semidirect
5. #21461236C2semidirect
6. #21461226C2semidirect
7. #21461216C2semidirect
8. #21461207C2semidirect
9. #21461196C2semidirect
10. C2×#16840614C2semidirect
16. #16840734C22semidirect
17. #16840733C22semidirect
18. C2×#14519834C22semidirect
19. D61⋊(C22⋊C8)C22semidirect
22. #16840705C22semidirect
23. #16840704C22semidirect
24. C4×C22⋊#6923C22semidirect
25. C2×(C2×#6923)⋊C4C22semidirect
26. #16840615C22semidirect
27. #16840615C22semidirect
28. #16840615C22semidirect
29. #16840614C22semidirect
30. #16840614C22semidirect
31. #16840614C22semidirect
32. #16840614C22semidirect
33. #16840614C22semidirect
34. #16840614C22semidirect
35. #16840614C22semidirect
36. C2×#14519823C4semidirect
44. #16840343C4semidirect
45. #16840343C4semidirect
46. #16840331C4semidirect
47. #16840331C4semidirect
52. C61×#520C4semidirect
82. C2×#11758222C2×C4semidirect
83. C2×#11758222C2×C4semidirect
90. C22×D244C2×C4semidirect
91. C22×D244C2×C4semidirect
106. #14519757C2×C4semidirect
107. #14519757C2×C4semidirect
115. #14519752C2×C4semidirect
116. #14519752C2×C4semidirect
117. #14519752C2×C4semidirect
118. #14519752C2×C4semidirect
119. #14519752C2×C4semidirect
140. #117×C61C2×C4semidirect
141. #117×C61C2×C4semidirect
142. C2×C4⋊C4×C61C2×C4semidirect
143. C2×C4⋊C4×C61C2×C4semidirect
416. #520#6923semidirect
440. C61#17603semidirect
509. #117C2×#6923semidirect
510. #117C2×#6923semidirect
512. C2×C4⋊C4C2×#6923semidirect
513. C2×C4⋊C4C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214624092
#214623222
#214612562
#214612472
#214612362
#214612262
#214612162
#214612072
#214611962
C2×#168406142
#214594892
#1760361