Finite Group Databasebeta

← #29852665

Subgroups — #29852665

Order 15616.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840359C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D61C211yesmaximal, characteristic, complemented
3#21454112C212yesmaximal, complemented
4#21454107C211yesmaximal, characteristic, complemented
5#21454102C211yesmaximal, characteristic
6#21451635C211yesmaximal, characteristic, complemented
7#21451602C212yesmaximal, complemented
8#21451564C211yesmaximal, characteristic, complemented
9#21450078C214yesmaximal, complemented
10#21449958C214yesmaximal, complemented
11#21449633C214yesmaximal, complemented
12#21449559C214yesmaximal, complemented
13#21448490C212yesmaximal, complemented
14C4×#14519747C212yesmaximal, complemented
15C61×#2313C211yesmaximal, characteristic, complemented
16C23×C4×D61C2211yescharacteristic
17C23×C4×D61C2211yescharacteristic
18C23×C4×D61C2211yescharacteristic
19#16840359—28no—
20C2×#14519772C2212yescomplemented
21C2×#14519767C2212yescomplemented
22C2×#14519762C2212yescomplemented
23C2×#14519761C2212yes—
24C2×#14519760C2212yes—
25C2×#14519757C2212yes—
26C2×#14519756C2211yescharacteristic
27C2×#14519755C2212yescomplemented
28C2×#14519752C2212yes—
29C2×#14519751C2211yescharacteristic
30C2×#14519747C2212yes—
31C2×C4×D244C2214yes—
32C2×C4×C22⋊D61C2212yes—
33C22×C4⋊Dic61C2211yescharacteristic
34C22×#11758196C2211yescharacteristic
35C22×#11758196C2211yescharacteristic
36C2×C4⋊C4×D61—28no—
37C2×C4⋊C4×D61C2214yes—
38C2×C4⋊C4×D61C2214yes—
39#16839702C2214yescomplemented
40#16839702C2212yescomplemented
41#16839699C2214yescomplemented
42#16839694C2212yescomplemented
43#16839694C2214yescomplemented
44#16839692C2214yescomplemented
45#16839689C2214yescomplemented
46#16839684C2214yescomplemented
47#16839683C2212yescomplemented
48#16839680C2212yescomplemented
49#16839660C2214yescomplemented
50#16839653C2214yescomplemented
51#16839647C2214yescomplemented
52#16839640C2214yes—
53#16839640C2214yes—
54#16839640C2214yes—
55#16839640C2214yes—
56#16839639C2212yes—
57#16839639C2212yes—
58#16839637C2212yes—
59#16839637C2212yes—
60#16839636C2214yes—
61#16839636C2214yes—
62#16839636C2214yes—
63#16839636C2214yes—
64#16839636C2214yescomplemented
65#16839623C2212yes—
66#16839619C2212yes—
67#16839619C2212yes—
68#16839617C2212yes—
69C4×#11758198C2214yes—
70C22×C4⋊C4×C61C2211yescharacteristic
71C61×#387C2214yescomplemented
72C61×#387C2214yescomplemented
73C61×#381C2212yes—
74C61×#380C2211yescharacteristic
75C61×#380C2211yescharacteristic
76C4×C22⋊C4×C61C2212yes—
77C24×D61C2311yescharacteristic
78C22×Dic122C2311yescharacteristic
79C22×D244C2314yes—
80C22×D244C2311yescharacteristic
81C22×C22⋊D61C2312yes—
82C23×Dic61C2311yescharacteristic
83C23×Dic61C2311yescharacteristic
84C23×Dic61C2311yescharacteristic
85C22×C4×D61—24no—
86C22×C4×D61—24no—
87C22×C4×D61—24no—
88C22×C4×D61—24no—
89C22×C4×D61—24no—
90C22×C4×D61—44no—
91C22×C4×D61—44no—
92C22×C4×D61C2314yes—
93C22×C4×D61C2314yes—
94C22×C4×D61C2312yes—
95C22×C4×D61C2312yes—
96C22×C4×D61C2312yes—
97#14519772—28no—
98#14519767—28no—
99#14519762—28no—
100#14519761—28no—
101#14519760—28no—
102#14519757—44no—
103#14519756—24no—
104#14519755—28no—
105#14519752—44no—
106#14519751—24no—
107#14519747—28no—
108C4×D244—48no—
109C4×C22⋊D61—28no—
110C2×C4⋊Dic61—24no—
111C2×C4⋊Dic61C2314yes—
112C2×C4⋊Dic61C2314yes—
113C2×C4⋊Dic61C2311yescharacteristic
114C2×C4⋊Dic61C2311yescharacteristic
115C2×C4⋊Dic61C2314yes—
116C2×C4⋊Dic61C2314yes—
117C2×#11758196—24no—
118C2×#11758196—24no—
119C2×#11758196C2312yes—
120C2×#11758196C2312yes—
121C2×#11758196C2312yes—
122C2×#11758196C2312yes—
123C2×#11758196C2314yes—
124C2×#11758196C2312yes—
125C2×#11758196C2312yes—
126C4⋊C4×D61—216no—
127C4⋊C4×D61—216no—
128C2×C22⋊Dic61C2312yes—
129C2×#11758198C2314yes—
130C2×#11758198C2312yes—
131C2×#11758198C2312yes—
132C2×#11758198C2312yes—
133C2×#11758198C2312yes—
134C2×#11758198C2314yes—
135C2×#11758198C2314yes—
136C2×#11758198C2314yes—
137C2×#11758198C2314yes—
138C2×#11758198C2314yes—
139C2×C4×Dic61C2312yes—
140#14519684C2314yes—
141#14519684C2314yes—
142#14519684C2314yes—
143#14519684C2314yes—
144#14519684C2314yes—
145#14519684C2314yes—
146C23×C4×C61C2311yescharacteristic
147C23×C4×C61C2311yescharacteristic
148C23×C4×C61C2311yescharacteristic
149C2×C4⋊C4×C61D418yescomplemented
150C2×C4⋊C4×C61C2312yes—
151C2×C4⋊C4×C61C2312yes—
152C2×C4⋊C4×C61C2312yes—
153C2×C4⋊C4×C61C2312yes—
154C2×C22⋊C4×C61C2312yes—
155C2×C22⋊C4×C61C2312yes—
156C2×C42×C61C2314yes—
157#95×C61C2312yes—
158#95×C61C2312yes—
159#95×C61C2314yes—
160#95×C61C2314yes—
161#95×C61C2314yes—
162C24×C61C2411yescharacteristic
163C23×D61—22no—
164C23×D61—22no—
165C23×D61—24no—
166C23×D61—24no—
167C23×D61#4114yes—
168C23×D61C2412yes—
169C23×D61C2412yes—
170C22×C4×C61—22no—
171C22×C4×C61—22no—
172C22×C4×C61—42no—
173C22×C4×C61—42no—
174C22×C4×C61C2×D414yes—
175C22×C4×C61C2×D414yes—
176C22×C4×C61C2×D414yes—
177C22×C4×C61C2414yes—
178C22×C4×C61C2414yes—
179C22×C4×C61C2412yes—
180C22×C4×C61C2411yescharacteristic
181C22×C4×C61C2411yescharacteristic
182C22×C4×C61C2412yes—
183C2×C22⋊D61—24no—
184C2×C22⋊D61—24no—
185C2×C22⋊D61—24no—
186C22×Dic61—22no—
187C22×Dic61—22no—
188C22×Dic61—22no—
189C22×Dic61—22no—
190C22×Dic61—42no—
191C22×Dic61—42no—
192C22×Dic61#4114yes—
193C22×Dic61C2412yes—
194C22×Dic61C2412yes—
195C22×Dic61C2412yes—
196C22×Dic61C2412yes—
197C22×Dic61C2412yes—
198C22×Dic61C2412yes—
199C2×D244—28no—
200C2×D244—28no—
201C2×D244—28no—
202C2×D244—22no—
203C2×D244—42no—
204C2×C4×D61—232no—
205C2×C4×D61—28no—
206C2×C4×D61—28no—
207C2×C4×D61—28no—
208C2×C4×D61—28no—
209C2×C4×D61—24no—
210C2×C4×D61—24no—
211C2×C4×D61—28no—
212C2×C4×D61—24no—
213C2×C4×D61—24no—
214C2×C4×D61—24no—
215C2×C4×D61—42no—
216C2×C4×D61—44no—
217C2×C4×D61—42no—
218C2×C4×D61—416no—
219C2×C4×D61—416no—
220C2×C4×D61—44no—
221C2×Dic122—22no—
222C2×Dic122—42no—
223C4⋊C4×C61—42no—
224C4⋊C4×C61—42no—
225C4⋊C4×C61C2×D418yes—
226C4⋊C4×C61C2×D418yes—
227C22⋊C4×C61—24no—
228C22⋊C4×C61—24no—
229C42×C61—44no—
230C22⋊Dic61—24no—
231#11758198—28no—
232#11758198—28no—
233#11758198—28no—
234#11758198—24no—
235#11758198—24no—
236#11758198—24no—
237#11758198—24no—
238#11758198—28no—
239#11758198—44no—
240#11758198—44no—
241C4⋊Dic61—28no—
242C4⋊Dic61—22no—
243C4⋊Dic61—22no—
244C4⋊Dic61—28no—
245C4⋊Dic61—44no—
246C4⋊Dic61—44no—
247#11758196—28no—
248#11758196—24no—
249#11758196—24no—
250#11758196—24no—
251#11758196—24no—
252#11758196—24no—
253#11758196—24no—
254C4×Dic61—24no—
255C23×C61—22no—
256C23×C61—22no—
257C23×C61C22×D412yes—
258C23×C61C2×#4112yes—
259C23×C61C2×#4112yes—
260C23×C61C2511yescharacteristic
261C22×D61—28no—
262C22×D61—28no—
263C22×D61—216no—
264C22×D61—28no—
265C22×D61—22no—
266C22×D61—22no—
267C22×D61—22no—
268C22×D61—22no—
269C22×D61—216no—
270C22×D61—22no—
271C22×D61—22no—
272C22×D61—22no—
273C22×D61—24no—
274C22×D61—24no—
275C22×D61C2×#4114yes—
276C22×D61H(5,𝔽2)14yes—
277C22×D612−1+414yes—
278C2×C4×C61—28no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—24no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—24no—
285C2×C4×C61—24no—
286C2×C4×C61—24no—
287C2×C4×C61—24no—
288C2×C4×C61—24no—
289C2×C4×C61—24no—
290C2×C4×C61—44no—
291C2×C4×C61—44no—
292C2×C4×C61C22×D414yes—
293C2×C4×C61C22×D412yes—
294C2×C4×C61C22×D414yes—
295C2×C4×C61C22×D412yes—
296C22⋊D61—48no—
297C2×Dic61—28no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—22no—
304C2×Dic61—22no—
305C2×Dic61—22no—
306C2×Dic61—22no—
307C2×Dic61—24no—
308C2×Dic61—22no—
309C2×Dic61—24no—
310C2×Dic61—22no—
311C2×Dic61—24no—
312C2×Dic61—44no—
313C2×Dic61—44no—
314C2×Dic61C2×#4114yes—
315D244—416no—
316D244—82no—
317C4×D61—232no—
318C4×D61—48no—
319C4×D61—416no—
320C4×D61—48no—
321C4×D61—84no—
322Dic122—82no—
323#34989—611nomaximal, Sylow
324C22×C61—24no—
325C22×C61—22no—
326C22×C61—22no—
327C22×C61—24no—
328C22×C61#52514yes—
329C22×C61C23×D411yescharacteristic
330C22×C61C22×#4111yescharacteristic
331C22×C61C22×#4111yescharacteristic
332C22×C61C2×H(5,𝔽2)12yes—
333C22×C61C2×2−1+412yes—
334C2×D61—232no—
335C2×D61—24no—
336C2×D61—24no—
337C2×D61—24no—
338C2×D61—24no—
339C2×D61—24no—
340C2×D61—24no—
341C2×D61—42no—
342C2×D61—44no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—44no—
346C2×D61#53918yescomplemented
347C4×C61—24no—
348C4×C61—22no—
349C4×C61—24no—
350C4×C61—22no—
351C4×C61—44no—
352C4×C61—44no—
353Dic61—24no—
354Dic61—42no—
355Dic61—42no—
356Dic61—42no—
357Dic61—42no—
358Dic61—42no—
359C2×#539—611no—
360C23×C4⋊C4—611no—
361#2849—612no—
362#2848—611no—
363#2847—611no—
364#2627—611no—
365#2623—612no—
366#2618—611no—
367#2481—614no—
368#2473—614no—
369#2449—614no—
370#2443—614no—
371#2322—612no—
372#2313D6111yescharacteristic, complemented
373C4×#120—612no—
374C2×C61—24no—
375C2×C61C2×#52511yescharacteristic
376C2×C61C2×#53912yes—
377C2×C61#348411yescharacteristic
378C2×C61#348611yescharacteristic
379C2×C61#349212yes—
380D61—28no—
381D61—82no—
382C24×C4—611no—
383C24×C4—611no—
384C24×C4—611no—
385#539—1228no—
386C2×#126—612no—
387C2×#125—612no—
388C2×#123—612no—
389C2×#123—612no—
390C2×#123—612no—
391C2×C22⋊Q8—611no—
392C2×C22⋊Q8—612no—
393C2×C22⋊Q8—612no—
394C2×#121—611no—
395C2×#121—612no—
396C2×#120—612no—
397C2×C4×D4—612no—
398C2×C4×D4—614no—
399C22×C4⋊C4—611no—
400C22×C4⋊C4—611no—
401C22×C4⋊C4—611no—
402C22×C4⋊C4—614no—
403C22×C4⋊C4—614no—
404C22×C4⋊C4—1228no—
405C22×C4⋊C4C2×D6111yescharacteristic
406#400—614no—
407#400—612no—
408#399—614no—
409#398—614no—
410#398—612no—
411#398—614no—
412#397—614no—
413#396—614no—
414#395—612no—
415#394—612no—
416#389—614no—
417#388—614no—
418#387—614no—
419#387C2×D6114yescomplemented
420#387C2×D6114yescomplemented
421#386—612no—
422#386—612no—
423#386—614no—
424#386—614no—
425#386—614no—
426#386—614no—
427#385—612no—
428#385—612no—
429#385—614no—
430#385—614no—
431#385—614no—
432#385—614no—
433#385—614no—
434#381—612no—
435#381C2×D6112yes—
436#380—612no—
437#380—612no—
438#380C2×D6111yescharacteristic
439#380C2×D6111yescharacteristic
440#379—612no—
441C4×C22⋊C4—614no—
442C4×C22⋊C4C2×D6112yes—
443C61#3498911yescharacteristic, complemented, Sylow
444C25—611no—
445C22×Q8—611no—
446C22×D4—612no—
447C22×D4—614no—
448C22×D4—611no—
449C23×C4—611no—
450C23×C4—611no—
451C23×C4—611no—
452C23×C4—614no—
453C23×C4—614no—
454C23×C4—612no—
455C23×C4—612no—
456C23×C4—612no—
457C23×C4—1224no—
458C23×C4—1224no—
459C23×C4—1224no—
460C23×C4—1224no—
461C23×C4—1224no—
462C23×C4—2444no—
463C23×C4—2444no—
464C23×C4C22×D6111yescharacteristic
465C23×C4C22×D6111yescharacteristic
466C23×C4C22×D6111yescharacteristic
467#126—1228no—
468#125—1228no—
469#123—1228no—
470#123—1228no—
471#123—1228no—
472C22⋊Q8—1224no—
473C22⋊Q8—1228no—
474C22⋊Q8—2444no—
475#121—1224no—
476#121—2444no—
477#120—1228no—
478C4×D4—1228no—
479C4×D4—2448no—
480C2×C4⋊C4—614no—
481C2×C4⋊C4—612no—
482C2×C4⋊C4—612no—
483C2×C4⋊C4—614no—
484C2×C4⋊C4—612no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—612no—
487C2×C4⋊C4—612no—
488C2×C4⋊C4—611no—
489C2×C4⋊C4—612no—
490C2×C4⋊C4—614no—
491C2×C4⋊C4—614no—
492C2×C4⋊C4—614no—
493C2×C4⋊C4—1224no—
494C2×C4⋊C4—1224no—
495C2×C4⋊C4—1224no—
496C2×C4⋊C4—12216no—
497C2×C4⋊C4—12216no—
498C2×C4⋊C4D24418yescomplemented
499C2×C4⋊C4C22×D6112yes—
500C2×C4⋊C4C22×D6112yes—
501C2×C4⋊C4C22×D6112yes—
502C2×C4⋊C4C22×D6112yes—
503C2×C22⋊C4—612no—
504C2×C22⋊C4—614no—
505C2×C22⋊C4—612no—
506C2×C22⋊C4—614no—
507C2×C22⋊C4—612no—
508C2×C22⋊C4—612no—
509C2×C22⋊C4—612no—
510C2×C22⋊C4—614no—
511C2×C22⋊C4—614no—
512C2×C22⋊C4—614no—
513C2×C22⋊C4—614no—
514C2×C22⋊C4C22×D6112yes—
515C2×C22⋊C4C22×D6112yes—
516C2×C42—612no—
517C2×C42C22×D6114yes—
518#95—614no—
519#95—614no—
520#95—614no—
521#95—614no—
522#95—614no—
523#95—614no—
524#95C22×D6114yes—
525#95C22×D6112yes—
526#95C22×D6112yes—
527#95C22×D6114yes—
528#95C22×D6114yes—
529C24—612no—
530C24—614no—
531C24—612no—
532C24—1224no—
533C24—1224no—
534C24—1222no—
535C24—1222no—
536C24C23×D6111yescharacteristic
537C2×Q8—1222no—
538C2×Q8—2442no—
539C2×D4—1228no—
540C2×D4—1228no—
541C2×D4—1228no—
542C2×D4—1224no—
543C2×D4—1224no—
544C2×D4—1224no—
545C2×D4—1222no—
546C2×D4—2442no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—614no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—612no—
555C22×C4—612no—
556C22×C4—612no—
557C22×C4—612no—
558C22×C4—1228no—
559C22×C4—1228no—
560C22×C4—12232no—
561C22×C4—1228no—
562C22×C4—1224no—
563C22×C4—1224no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1228no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1224no—
570C22×C4—1228no—
571C22×C4—1224no—
572C22×C4—1224no—
573C22×C4—2444no—
574C22×C4—2444no—
575C22×C4—2442no—
576C22×C4—2442no—
577C22×C4—24416no—
578C22×C4—24416no—
579C22×C4—2442no—
580C22×C4—2442no—
581C22×C4C2×D24414yes—
582C22×C4C2×D24414yes—
583C22×C4C2×D24414yes—
584C22×C4C23×D6114yes—
585C22×C4C23×D6114yes—
586C22×C4C23×D6112yes—
587C22×C4C23×D6112yes—
588C22×C4C23×D6111yescharacteristic
589C22×C4C23×D6111yescharacteristic
590C4⋊C4—42no—
591C4⋊C4—42no—
592C4⋊C4—1228no—
593C4⋊C4—1228no—
594C4⋊C4—1224no—
595C4⋊C4—1224no—
596C4⋊C4—1228no—
597C4⋊C4—1224no—
598C4⋊C4—1224no—
599C4⋊C4—1224no—
600C4⋊C4—1224no—
601C4⋊C4—1222no—
602C4⋊C4—1222no—
603C4⋊C4—2444no—
604C4⋊C4—2444no—
605C4⋊C4C2×D24418yes—
606C4⋊C4C2×D24418yes—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—1228no—
610C22⋊C4—1228no—
611C22⋊C4—1228no—
612C22⋊C4—1228no—
613C22⋊C4—1224no—
614C22⋊C4—1224no—
615C22⋊C4—1224no—
616C22⋊C4—1224no—
617C22⋊C4—1224no—
618C22⋊C4—2444no—
619C22⋊C4—2444no—
620C42—44no—
621C42—1224no—
622C23—22no—
623C23—22no—
624C23—614no—
625C23—614no—
626C23—614no—
627C23—12216no—
628C23—1228no—
629C23—1228no—
630C23—12216no—
631C23—1228no—
632C23—1222no—
633C23—1222no—
634C23—1222no—
635C23—1222no—
636C23—1222no—
637C23—1222no—
638C23—1222no—
639C23—1224no—
640C23—1224no—
641C23C22×D24412yes—
642C23#41×D6112yes—
643C23#41×D6112yes—
644C23C24×D6111yescharacteristic
645Q8—4882no—
646D4—4882no—
647D4—24416no—
648D4—2448no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—614no—
664C2×C4—12232no—
665C2×C4—1228no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1224no—
676C2×C4—1222no—
677C2×C4—1224no—
678C2×C4—1222no—
679C2×C4—1224no—
680C2×C4—4884no—
681C2×C4—24416no—
682C2×C4—2448no—
683C2×C4—2448no—
684C2×C4—2444no—
685C2×C4—2444no—
686C2×C4C22×D24414yes—
687C2×C4C22×D24414yes—
688C2×C4C22×D24412yes—
689C2×C4C22×D24412yes—
690C22—22no—
691C22—24no—
692C22—24no—
693C22—22no—
694C22—618no—
695C22—12232no—
696C22—1224no—
697C22—1224no—
698C22—1224no—
699C22—1224no—
700C22—1224no—
701C22—1224no—
702C22—2442no—
703C22—2444no—
704C22—2442no—
705C22—2444no—
706C22—2442no—
707C22#1684027414yes—
708C22C23×D24411yescharacteristic
709C22C2×#41×D6111yescharacteristic
710C22C2×#41×D6111yescharacteristic
711C22H(5,𝔽2)×D6112yes—
712C222−1+4×D6112yes—
713C4—24no—
714C4—24no—
715C4—22no—
716C4—22no—
717C4—44no—
718C4—44no—
719C4—1224no—
720C4—2442no—
721C4—2442no—
722C4—2442no—
723C4—2442no—
724C4—2442no—
725C2—24no—
726C2—1228no—
727C2—4882no—
728C2C2×#1684027411yescharacteristic
729C2#539×D6112yes—
730C2#2145945511yescharacteristic
731C2#2145947111yescharacteristic
732C2#2145952412yes—
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2313C2
prime radical#21454102C2
hypercenter#2313D61
hypocenterC61#34989
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2313

Complements

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

NH ≅ G/Ntype
1. C2×#16840359C2semidirect
2. C22×C4⋊C4×D61C2semidirect
3. #21454112C2semidirect
4. #21454107C2semidirect
6. #21451635C2semidirect
7. #21451602C2semidirect
8. #21451564C2semidirect
9. #21450078C2semidirect
10. #21449958C2semidirect
11. #21449633C2semidirect
12. #21449559C2semidirect
13. #21448490C2semidirect
14. C4×#14519747C2semidirect
15. C61×#2313C2semidirect
20. C2×#14519772C22semidirect
21. C2×#14519767C22semidirect
22. C2×#14519762C22semidirect
27. C2×#14519755C22semidirect
39. #16839702C22semidirect
40. #16839702C22semidirect
41. #16839699C22semidirect
42. #16839694C22semidirect
43. #16839694C22semidirect
44. #16839692C22semidirect
45. #16839689C22semidirect
46. #16839684C22semidirect
47. #16839683C22semidirect
48. #16839680C22semidirect
49. #16839660C22semidirect
50. #16839653C22semidirect
51. #16839647C22semidirect
64. #16839636C22semidirect
71. C61×#387C22semidirect
72. C61×#387C22semidirect
149. C2×C4⋊C4×C61D4semidirect
346. C2×D61#539semidirect
372. #2313D61semidirect
419. #387C2×D61semidirect
420. #387C2×D61semidirect
443. C61#34989semidirect
498. C2×C4⋊C4D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168403592
C22×C4⋊C4×D612
#214541122
#214541072
#214541022
#214516352
#214516022
#214515642
#214500782
#214499582
#214496332
#214495592
#214484902
C4×#145197472
C61×#23132
#3498961