Finite Group Databasebeta

← #30624977

Subgroups — #30624977

Order 15616.

1974 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462365C214yesmaximal, complemented
2#21462353C214yesmaximal, complemented
3#21462353C212yesmaximal, complemented
4#21462348C212yesmaximal, complemented
5#21462338C212yesmaximal, complemented
6#21462334C212yesmaximal, complemented
7#21462317C214yesmaximal
8#21462317C214yesmaximal
9#21462306C212yesmaximal
10#21462297C211yesmaximal, characteristic
11C22⋊Q8×#6923C212yesmaximal
12#21462279C211yesmaximal, characteristic
13#541×D61C211yesmaximal, characteristic
14C2×Q8×#6923C2212yes—
15C2×Q8×#6923C2212yes—
16C2×#14519856C2211yescharacteristic
17C22×C4×#6923C2211yescharacteristic
18(C2×#6923)⋊Q8C2212yes—
19(C2×#6923)⋊Q8C2212yes—
20#16840713C2212yes—
21#16840713C2212yes—
22#16840713C2212yes—
23#16840713C2212yes—
24#16840713C2214yes—
25#16840713C2214yes—
26#16840713C2214yes—
27#16840713C2214yes—
28#16840713C2214yes—
29#16840712C2214yes—
30#16840712C2214yes—
31#16840712C2214yes—
32#16840711C2214yes—
33#16840711C2214yes—
34#16840711C2214yes—
35#16840711C2214yes—
36#16840711C2214yes—
37#16840711C2214yes—
38#16840711C2214yes—
39#16840711C2214yes—
40#16840711C2214yes—
41#16840709C2212yes—
42#16840709C2212yes—
43#16840709C2214yes—
44#16840708C2211yescharacteristic
45#16840706C2211yescharacteristic
46#16840706C2214yes—
47#16840706C2214yes—
48#16840704C2212yes—
49C4⋊C4×#6923C2212yes—
50C4⋊C4×#6923C2214yes—
51C4⋊C4×#6923C2212yes—
52C4⋊C4×#6923C2214yes—
53C4⋊C4×#6923C2214yes—
54C4×C4⋊#6923C2212yes—
55C4×C4⋊#6923C2212yes—
56C4×C4⋊#6923C2212yes—
57C4×C4⋊#6923C2214yes—
58C4×C4⋊#6923C2214yes—
59C22⋊C4×#6923C2214yes—
60#16840375C411yescharacteristic, complemented
61#16840374C411yescharacteristic, complemented
62#16840373C411yescharacteristic, complemented
63#16840372C412yescomplemented
64#16840371C414yescomplemented
65#16840370C412yescomplemented
66#16840369C414yescomplemented
67C4⋊Q8×D61C2211yescharacteristic
68#126×D61C2214yes—
69#125×D61C2211yescharacteristic
70#125×D61C2214yes—
71C22⋊Q8×D61C2212yes—
72C4×Q8×D61C2212yes—
73#117×D61C2211yescharacteristic
74C61×#541C411yescharacteristic, complemented
75C23×#6923C2312yes—
76Q8×#6923—44no—
77Q8×#6923—44no—
78#14519856—42no—
79C2×C4⋊#6923C2312yes—
80C2×C4⋊#6923C2312yes—
81C2×C4⋊#6923C2312yes—
82C2×C4⋊#6923C2312yes—
83C2×C4⋊#6923C2314yes—
84C2×C4⋊#6923C2312yes—
85C2×C4⋊#6923C2314yes—
86C2×C4⋊#6923C2314yes—
87C2×C4⋊#6923C2314yes—
88C2×C4⋊#6923C2312yes—
89C2×C4⋊#6923C2312yes—
90C2×C4⋊#6923C2314yes—
91C2×C22⋊#6923C2314yes—
92C2×C22⋊#6923C2311yescharacteristic
93C2×C22⋊#6923C2311yescharacteristic
94C2×C4×#6923—42no—
95C2×C4×#6923C2312yes—
96C2×C4×#6923C2312yes—
97C2×C4×#6923C2311yescharacteristic
98C2×C4×#6923C2314yes—
99C2×C4×#6923C2314yes—
100C2×C4×#6923C2314yes—
101C2×C4×#6923C2314yes—
102C2×C4×#6923C2314yes—
103C2×C4×#6923C2311yescharacteristic
104(C2×#6923)⋊C4C2314yes—
105(C2×#6923)⋊C4C2312yes—
106(C2×#6923)⋊C4C2314yes—
107(C2×#6923)⋊C4C2314yes—
108(C2×#6923)⋊C4C2314yes—
109(C2×#6923)⋊C4C2314yes—
110(C2×#6923)⋊C4C2314yes—
111(C2×#6923)⋊C4C2314yes—
112(C2×#6923)⋊C4C2314yes—
113(C2×#6923)⋊C4C2312yes—
114(C2×#6923)⋊C4C2312yes—
115(C2×#6923)⋊C4C2312yes—
116(C2×#6923)⋊C4C2314yes—
117(C2×#6923)⋊C4C2314yes—
118(C2×#6923)⋊C4C2314yes—
119C2×Q8×D61C2312yes—
120C22×C4×D61C2311yescharacteristic
121#14519777C2×C411yescharacteristic, complemented
122#14519776C2×C414yescomplemented
123#14519775C2×C412yescomplemented
124#14519772C2×C414yes—
125#14519772C2×C414yes—
126#14519772C2×C414yes—
127#14519771C2×C414yes—
128#14519770C2×C414yes—
129#14519770C2×C414yes—
130#14519770C2×C414yes—
131#14519769C2×C414yescomplemented
132#14519769C2×C411yescharacteristic, complemented
133#14519768C2×C414yescomplemented
134#14519768C2×C412yescomplemented
135#14519768C2×C414yescomplemented
136#14519767C2×C414yescomplemented
137#14519767C2×C414yescomplemented
138#14519767C2×C414yescomplemented
139#14519767C2×C414yescomplemented
140#14519767C2×C414yescomplemented
141#14519757C2×C412yes—
142#14519756C2×C412yes—
143#14519755C2×C414yes—
144#14519754C2×C414yes—
145#14519753C2×C412yes—
146Q8×Dic61C2×C412yescomplemented
147C4×Dic122C2×C414yescomplemented
148C4×Dic122C2×C412yescomplemented
149#14519742C2×C414yescomplemented
150#14519742C2×C412yescomplemented
151#14519736C2×C411yescharacteristic
152#14519735C2×C412yes—
153#14519734C2×C411yescharacteristic
154#14519734C2×C411yescharacteristic
155#14519733C2×C412yes—
156C4⋊C4×D61C2312yes—
157C4⋊C4×D61C2314yes—
158C4⋊C4×D61C2314yes—
159C4⋊C4×D61C2314yes—
160C4⋊C4×D61C2314yes—
161C4⋊C4×D61C2312yes—
162C22⋊C4×D61C2312yes—
163C22⋊C4×D61C2314yes—
164C42×D61C2314yes—
165C42×D61C2311yescharacteristic
166C42×D61C2311yescharacteristic
167C4⋊Q8×C61C2×C411yescharacteristic, complemented
168#126×C61C2×C414yes—
169#125×C61C2×C414yescomplemented
170#125×C61C2×C411yescharacteristic, complemented
171C22⋊Q8×C61C2×C412yes—
172C4×Q8×C61C2×C412yescomplemented
173#117×C61C2×C411yescharacteristic
174C23×D61C2411yescharacteristic
175C22×#6923—24no—
176C22×#6923—42no—
177C22×#6923—42no—
178C22×#6923C2414yes—
179C22×#6923C2412yes—
180C22×#6923C2412yes—
181C22×#6923C2412yes—
182C22×#6923C2414yes—
183C22×#6923C2412yes—
184C2×Q8×C61C22×C412yes—
185C22×C4×C61C22×C411yescharacteristic
186C22×Dic61C22×C411yescharacteristic
187Q8×D61—24no—
188Q8×D61—24no—
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61C22×C411yescharacteristic
192C2×C4×D61C22×C411yescharacteristic
193C2×C4×D61C2411yescharacteristic
194C2×C4×D61C2414yes—
195C2×C4×D61C2414yes—
196C2×C4×D61C2412yes—
197C2×C4×D61C2412yes—
198C2×C4×D61C2411yescharacteristic
199C2×Dic122C22×C414yes—
200C2×Dic122C22×C412yes—
201C22⋊#6923—44no—
202C22⋊#6923—41no—
203C22⋊#6923—41no—
204C4⋊#6923—24no—
205C4⋊#6923—24no—
206C4⋊#6923—28no—
207C4⋊#6923—24no—
208C4⋊#6923—24no—
209C4⋊#6923—42no—
210C4⋊#6923—44no—
211C4⋊#6923—44no—
212C4⋊#6923—42no—
213C4⋊#6923—42no—
214C4⋊#6923—44no—
215C4⋊#6923—44no—
216C4×#6923—24no—
217C4×#6923—24no—
218C4×#6923—41no—
219C4×#6923—41no—
220C4×#6923—44no—
221C4×#6923—44no—
222C4×#6923—44no—
223C4×#6923—44no—
224C4×#6923—44no—
225C4⋊C4×C61C22×C412yes—
226C4⋊C4×C61C22×C412yes—
227C4⋊C4×C61C22×C414yes—
228C4⋊C4×C61C22×C414yes—
229C4⋊C4×C61C22×C414yes—
230C4⋊C4×C61C22×C414yes—
231C22⋊C4×C61C22×C412yes—
232C22⋊C4×C61C22×C414yes—
233C42×C61C22×C411yescharacteristic
234C42×C61C22×C411yescharacteristic
235C42×C61C22×C414yes—
236C22⋊Dic61C22×C412yes—
237C22⋊Dic61C22×C414yes—
238#11758198C22×C412yes—
239#11758198C22×C412yes—
240#11758198C22×C414yes—
241#11758198C22×C414yes—
242C4⋊Dic61C22×C412yes—
243C4⋊Dic61C22×C412yes—
244C4⋊Dic61C22×C414yes—
245C4⋊Dic61C22×C414yes—
246C4⋊Dic61C22×C414yes—
247C4⋊Dic61C22×C414yes—
248#11758196C22×C412yes—
249#11758196C22×C412yes—
250#11758196C22×C414yes—
251#11758196C22×C414yes—
252#11758196C22×C414yes—
253#11758196C22×C414yes—
254#11758196C22×C414yes—
255#11758196C22×C414yes—
256#11758196C22×C414yes—
257#11758196C22×C414yes—
258#11758196C22×C414yes—
259C4×Dic61C22×C412yes—
260C4×Dic61C22×C412yes—
261C4×Dic61C22×C411yescharacteristic
262C4×Dic61C22×C411yescharacteristic
263C4×Dic61C22×C414yes—
264C4×Dic61C22×C414yes—
265C4×Dic61C22×C414yes—
266C23×C61C23×C411yescharacteristic
267C22×D61—21no—
268C22×D61—21no—
269C22×D61—22no—
270C22×D61—22no—
271C22×D61C23×C411yescharacteristic
272C22×D61C2511yescharacteristic
273C2×#6923—22no—
274C2×#6923—22no—
275C2×#6923—22no—
276C2×#6923—22no—
277C2×#6923—22no—
278C2×#6923—24no—
279C2×#6923—22no—
280C2×#6923—22no—
281C2×#6923—24no—
282C2×#6923—24no—
283C2×#6923—22no—
284C2×#6923—22no—
285C2×#6923—24no—
286C2×#6923—24no—
287C2×#6923—24no—
288C2×#6923—22no—
289C2×#6923—22no—
290C2×#6923—48no—
291C2×#69232−1+414yes—
292Q8×C61—24no—
293C2×C4×C61—22no—
294C2×C4×C61C23×C412yes—
295C2×C4×C61C23×C412yes—
296C2×C4×C61C23×C414yes—
297C2×C4×C61C23×C414yes—
298C2×C4×C61C23×C411yescharacteristic
299C2×C4×C61C23×C411yescharacteristic
300C2×Dic61—22no—
301C2×Dic61C23×C412yes—
302C2×Dic61C23×C412yes—
303C2×Dic61C23×C414yes—
304C2×Dic61C23×C414yes—
305C2×Dic61C23×C411yescharacteristic
306C2×Dic61C23×C411yescharacteristic
307C4×D61—21no—
308C4×D61—24no—
309C4×D61—24no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—21no—
313C4×D61—24no—
314C4×D61—24no—
315C4×D61—22no—
316C4×D61—22no—
317C4×D61—22no—
318C4×D61—22no—
319C4×D61H(5,𝔽2)12yes—
320C4×D612−1+412yes—
321Dic122—24no—
322Dic122—28no—
323#34421—611nomaximal, Sylow
324C22×C61—21no—
325C22×C61—22no—
326C22×C61C24×C411yescharacteristic
327C2×D61—21no—
328C2×D61—22no—
329C2×D61—42no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61C2×H(5,𝔽2)11yescharacteristic
333C2×D61C2×2−1+412yes—
334C2×D61C2×2−1+411yescharacteristic
335C2×D61#58512yes—
336#6923—24no—
337#6923—42no—
338#6923—42no—
339#6923—44no—
340#6923—42no—
341#6923—44no—
342C4×C61—24no—
343C4×C61—21no—
344C4×C61—22no—
345C4×C61—24no—
346C4×C61—22no—
347C4×C61#52012yes—
348Dic61—24no—
349Dic61—21no—
350Dic61—22no—
351Dic61—24no—
352Dic61—22no—
353Dic61#52012yes—
354C2×#541—611no—
355#2382—614no—
356#2370—612no—
357#2370—614no—
358#2365—612no—
359#2355—612no—
360#2351—612no—
361#2334—614no—
362#2334—614no—
363#2323—612no—
364#2314—611no—
365C4×C22⋊Q8—612no—
366#2296—611no—
367C2×C61—41no—
368C2×C61C2×#52011yescharacteristic
369C2×C61C4×2−1+412yes—
370D61—41no—
371D61#354112yes—
372D61#355611yescharacteristic
373D61#355711yescharacteristic
374#541—611no—
375#541—614no—
376#541—614no—
377#541—611no—
378#541—612no—
379#541—612no—
380#541—611no—
381#541#692311yescharacteristic, complemented
382C2×C4⋊Q8—611no—
383C2×#126—614no—
384C2×#125—611no—
385C2×#125—614no—
386C2×C22⋊Q8—612no—
387C2×C4×Q8—612no—
388C2×C4×Q8—612no—
389C2×C4×Q8—612no—
390C2×#117—611no—
391C2×#117—611no—
392C22×C42—611no—
393#391—612no—
394#391—612no—
395#389—612no—
396#389—614no—
397#389—614no—
398#389—614no—
399#389—614no—
400#389—614no—
401#389—612no—
402#389—612no—
403#389—612no—
404#388—614no—
405#388—614no—
406#388—614no—
407#387—614no—
408#387—614no—
409#387—614no—
410#387—614no—
411#387—614no—
412#387—614no—
413#387—614no—
414#387—614no—
415#387—614no—
416#385—612no—
417#385—612no—
418#385—614no—
419#384—611no—
420#382—611no—
421#382—614no—
422#382—614no—
423#380—612no—
424C4×C4⋊C4—612no—
425C4×C4⋊C4—612no—
426C4×C4⋊C4—614no—
427C4×C4⋊C4—614no—
428C4×C4⋊C4—614no—
429C4×C4⋊C4—614no—
430C4×C4⋊C4—612no—
431C4×C4⋊C4—612no—
432C4×C4⋊C4—612no—
433C4×C4⋊C4—614no—
434C4×C22⋊C4—614no—
435C61#3442111yescharacteristic, complemented, Sylow
436C22×Q8—612no—
437C23×C4—611no—
438C23×C4—612no—
439C4⋊Q8—612no—
440C4⋊Q8—614no—
441C4⋊Q8—611no—
442C4⋊Q8C2×#692311yescharacteristic, complemented
443#126—614no—
444#126—614no—
445#126—614no—
446#126—614no—
447#126—614no—
448#126—614no—
449#126—614no—
450#126C2×#692314yes—
451#125—614no—
452#125—614no—
453#125—614no—
454#125—614no—
455#125—614no—
456#125—612no—
457#125—614no—
458#125—614no—
459#125—611no—
460#125—614no—
461#125C2×#692311yescharacteristic, complemented
462#125C2×#692314yescomplemented
463C22⋊Q8—612no—
464C22⋊Q8—612no—
465C22⋊Q8—614no—
466C22⋊Q8—612no—
467C22⋊Q8—614no—
468C22⋊Q8C2×#692312yes—
469C4×Q8—612no—
470C4×Q8—614no—
471C4×Q8—612no—
472C4×Q8—614no—
473C4×Q8—612no—
474C4×Q8—2444no—
475C4×Q8—2444no—
476C4×Q8C2×#692312yescomplemented
477#117—611no—
478#117—612no—
479#117—612no—
480#117—611no—
481#117—611no—
482#117—2442no—
483#117C2×#692311yescharacteristic
484C2×C4⋊C4—612no—
485C2×C4⋊C4—612no—
486C2×C4⋊C4—614no—
487C2×C4⋊C4—614no—
488C2×C4⋊C4—614no—
489C2×C4⋊C4—614no—
490C2×C4⋊C4—612no—
491C2×C4⋊C4—612no—
492C2×C4⋊C4—612no—
493C2×C4⋊C4—614no—
494C2×C4⋊C4—612no—
495C2×C4⋊C4—612no—
496C2×C4⋊C4—614no—
497C2×C4⋊C4—614no—
498C2×C4⋊C4—612no—
499C2×C4⋊C4—614no—
500C2×C4⋊C4—612no—
501C2×C4⋊C4—614no—
502C2×C22⋊C4—612no—
503C2×C22⋊C4—614no—
504C2×C22⋊C4—611no—
505C2×C22⋊C4—611no—
506C2×C22⋊C4—614no—
507C2×C42—611no—
508C2×C42—611no—
509C2×C42—614no—
510C2×C42—612no—
511C2×C42—612no—
512C2×C42—614no—
513C2×C42—614no—
514C2×C42—614no—
515C2×C42—611no—
516C2×C42—614no—
517C2×C42—614no—
518C2×C42—611no—
519C2×C42—2442no—
520#95—614no—
521#95—614no—
522#95—612no—
523#95—612no—
524#95—614no—
525#95—614no—
526#95—612no—
527#95—614no—
528#95—614no—
529#95—614no—
530#95—614no—
531#95—614no—
532#95—612no—
533#95—614no—
534#95—614no—
535C24—611no—
536C2×Q8—614no—
537C2×Q8—612no—
538C2×Q8—1224no—
539C2×Q8—1224no—
540C2×Q8C22×#692312yes—
541C22×C4—611no—
542C22×C4—612no—
543C22×C4—611no—
544C22×C4—612no—
545C22×C4—614no—
546C22×C4—612no—
547C22×C4—614no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—614no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—612no—
555C22×C4—614no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1224no—
559C22×C4—2442no—
560C22×C4—2442no—
561C22×C4C22×#692311yescharacteristic
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—614no—
565C4⋊C4—614no—
566C4⋊C4—614no—
567C4⋊C4—614no—
568C4⋊C4—614no—
569C4⋊C4—614no—
570C4⋊C4—614no—
571C4⋊C4—614no—
572C4⋊C4—614no—
573C4⋊C4—612no—
574C4⋊C4—612no—
575C4⋊C4—614no—
576C4⋊C4—614no—
577C4⋊C4—614no—
578C4⋊C4—614no—
579C4⋊C4—1224no—
580C4⋊C4—1224no—
581C4⋊C4—1224no—
582C4⋊C4—1228no—
583C4⋊C4—1224no—
584C4⋊C4—2442no—
585C4⋊C4—2444no—
586C4⋊C4—2444no—
587C4⋊C4—2442no—
588C4⋊C4—2444no—
589C4⋊C4—2444no—
590C4⋊C4—2442no—
591C4⋊C4C22×#692312yes—
592C4⋊C4C22×#692312yes—
593C4⋊C4C22×#692314yes—
594C4⋊C4C22×#692314yes—
595C4⋊C4C22×#692314yes—
596C4⋊C4C22×#692314yes—
597C22⋊C4—612no—
598C22⋊C4—614no—
599C22⋊C4—612no—
600C22⋊C4—612no—
601C22⋊C4—614no—
602C22⋊C4—614no—
603C22⋊C4—2441no—
604C22⋊C4—2441no—
605C22⋊C4—2444no—
606C22⋊C4C22×#692312yes—
607C22⋊C4C22×#692314yes—
608C42—612no—
609C42—611no—
610C42—612no—
611C42—611no—
612C42—614no—
613C42—614no—
614C42—614no—
615C42—1224no—
616C42—1224no—
617C42—2441no—
618C42—2441no—
619C42—2444no—
620C42—2444no—
621C42—2444no—
622C42—2444no—
623C42—2444no—
624C42C22×#692311yescharacteristic
625C42C22×#692311yescharacteristic
626C42C22×#692314yes—
627C23—611no—
628C23—611no—
629C23—1221no—
630C23—1222no—
631C23—1221no—
632C23—1222no—
633C23C23×#692311yescharacteristic
634Q8—24no—
635Q8—1228no—
636Q8—1224no—
637C2×C4—22no—
638C2×C4—611no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—614no—
642C2×C4—612no—
643C2×C4—612no—
644C2×C4—614no—
645C2×C4—614no—
646C2×C4—611no—
647C2×C4—1222no—
648C2×C4—1221no—
649C2×C4—1224no—
650C2×C4—1224no—
651C2×C4—1222no—
652C2×C4—1224no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1221no—
657C2×C4—1224no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1224no—
666C2×C4—1224no—
667C2×C4—1222no—
668C2×C4—1224no—
669C2×C4—1224no—
670C2×C4—1224no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1224no—
674C2×C4—1222no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—2448no—
678C2×C4C23×#692312yes—
679C2×C4C23×#692312yes—
680C2×C4C23×#692314yes—
681C2×C4C23×#692314yes—
682C2×C4C23×#692311yescharacteristic
683C2×C4C23×#692311yescharacteristic
684C22—21no—
685C22—22no—
686C22—611no—
687C22—611no—
688C22—612no—
689C22—612no—
690C22—1221no—
691C22—1222no—
692C22—2442no—
693C22—2441no—
694C22—2441no—
695C22C24×#692311yescharacteristic
696C4—21no—
697C4—24no—
698C4—22no—
699C4—24no—
700C4—22no—
701C4—612no—
702C4—1224no—
703C4—1221no—
704C4—1224no—
705C4—1222no—
706C4—1222no—
707C4—1224no—
708C4—2442no—
709C4—2442no—
710C4—2442no—
711C4—2444no—
712C4—2444no—
713C4#1684083112yes—
714C2—41no—
715C2—612no—
716C2—611no—
717C2—611no—
718C2—2441no—
719C2C2×#1684083111yescharacteristic
720C22−1+4×#692312yes—
subgroupG/H
center, FrattiniC22C24×#6923
commutator, socleC22×C61C24×C4
FittingC61×#541C4
prime radicalC23×D61C24
cosocleC22×D61C25
hypercenter#541#6923
hypocenterC61#34421
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #541

Complements

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

NH ≅ G/Ntype
1. #21462365C2semidirect
2. #21462353C2semidirect
3. #21462353C2semidirect
4. #21462348C2semidirect
5. #21462338C2semidirect
6. #21462334C2semidirect
60. #16840375C4semidirect
61. #16840374C4semidirect
62. #16840373C4semidirect
63. #16840372C4semidirect
64. #16840371C4semidirect
65. #16840370C4semidirect
66. #16840369C4semidirect
74. C61×#541C4semidirect
121. #14519777C2×C4semidirect
122. #14519776C2×C4semidirect
123. #14519775C2×C4semidirect
131. #14519769C2×C4semidirect
132. #14519769C2×C4semidirect
133. #14519768C2×C4semidirect
134. #14519768C2×C4semidirect
135. #14519768C2×C4semidirect
136. #14519767C2×C4semidirect
137. #14519767C2×C4semidirect
138. #14519767C2×C4semidirect
139. #14519767C2×C4semidirect
140. #14519767C2×C4semidirect
146. Q8×Dic61C2×C4semidirect
147. C4×Dic122C2×C4semidirect
148. C4×Dic122C2×C4semidirect
149. #14519742C2×C4semidirect
150. #14519742C2×C4semidirect
167. C4⋊Q8×C61C2×C4semidirect
169. #125×C61C2×C4semidirect
170. #125×C61C2×C4semidirect
172. C4×Q8×C61C2×C4semidirect
381. #541#6923semidirect
435. C61#34421semidirect
442. C4⋊Q8C2×#6923semidirect
461. #125C2×#6923semidirect
462. #125C2×#6923semidirect
476. C4×Q8C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214623652
#214623532
#214623482
#214623382
#214623342
#214623172
#214623062
#214622972
C22⋊Q8×#69232
#214622792
#541×D612
#3442161