Finite Group Databasebeta

← #29647715

Subgroups — #29647715

Order 15616.

1350 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459576C211yesmaximal, characteristic
2#21454841C211yesmaximal, characteristic, complemented
3#21448726C211yesmaximal, characteristic, complemented
4#21444388C211yesmaximal, characteristic, complemented
5#21444387C211yesmaximal, characteristic, complemented
6#21444385C212yesmaximal, complemented
7#21444377C212yesmaximal, complemented
8#21444312C212yesmaximal, complemented
9C2×#16839495C211yesmaximal, characteristic, complemented
10#327×D61C212yesmaximal, complemented
11C2×C61×#327C211yesmaximal, characteristic, complemented
12C2×#14519822—21no—
13#16840413C412yescomplemented
14#16840412C412yescomplemented
15#16840402—22no—
16#16840401—22no—
17#16840396C412yescomplemented
18D4×C22⋊D61C412yescomplemented
19#16840339—21no—
20#16840321—21no—
21#16840320—21no—
22#16840307C2212yes—
23C2×#14519751C2211yescharacteristic
24#121×D61C2212yes—
25C2×C4×C22⋊D61—21no—
26C2×C4×C22⋊D61C2211yescharacteristic
27C8×C22⋊D61—22no—
28#16839825—22no—
29#16839812C2212yescomplemented
30C2×C22⋊#92418C2211yescharacteristic, complemented
31C22⋊C8×D61C2212yescomplemented
32#16839659—21no—
33#16839636—21no—
34#16839635—21no—
35#16839626C2211yescharacteristic, complemented
36#16839622C2211yescharacteristic, complemented
37#16839621C2211yescharacteristic, complemented
38#16839613C2211yescharacteristic, complemented
39#95×D61C2211yescharacteristic, complemented
40#16839497C2212yescomplemented
41#16839497C2212yescomplemented
42#16839496C2212yescomplemented
43#16839496C2212yescomplemented
44#16839495C2212yescomplemented
45#16839495C2212yescomplemented
46C2×#121×C61C2211yescharacteristic
47C2×C22⋊C8×C61C2211yescharacteristic, complemented
48C2×#95×C61C2211yescharacteristic, complemented
49C61×#327C2212yescomplemented
50C61×#327C2212yescomplemented
51#14519822—44no—
52#14519822—44no—
53C2×#11758222—22no—
54C2×#11758224—22no—
55C2×#11758224—22no—
56C22×D244C2×C411yescharacteristic, complemented
57C22×C22⋊D61—21no—
58C22×C22⋊D61—22no—
59C22×C22⋊D61D411yescharacteristic
60C2×D4×D61—22no—
61C2×D4×D61—22no—
62C2×D4×D61C2×C412yescomplemented
63C22×C4×D61—21no—
64C22×C4×D61C2311yescharacteristic
65C22×#92418—21no—
66C2×C8×D61—22no—
67#14519776C2×C412yescomplemented
68#14519773C2×C412yescomplemented
69#14519763—22no—
70#14519762—22no—
71#14519760—22no—
72#14519759—22no—
73#14519758—22no—
74#14519755—22no—
75#14519754—22no—
76#14519752C2×C412yescomplemented
77#14519751—21no—
78#14519751—21no—
79#14519751C2×C412yescomplemented
80#14519751C2312yes—
81#14519750—22no—
82#14519750—22no—
83#14519749—22no—
84#14519749—22no—
85#14519749—22no—
86#14519748C2×C412yescomplemented
87#14519747—22no—
88#14519746—22no—
89#14519745—22no—
90#14519745—22no—
91D4×Dic61C2×C412yescomplemented
92#14519739C2×C412yescomplemented
93C4×C22⋊D61—44no—
94C4×C22⋊D61C2×C412yes—
95C4×C22⋊D61C2×C412yes—
96C4×C22⋊D61D412yes—
97C4×C22⋊D61D412yes—
98#14519737—22no—
99C2×C4⋊Dic61—21no—
100C2×C4⋊Dic61C2×C411yescharacteristic, complemented
101C2×#11758196—21no—
102C2×#11758196—21no—
103C2×#11758196—21no—
104C2×#11758196D411yescharacteristic
105C4⋊C4×D61C2×C412yescomplemented
106C2×C22⋊Dic61—21no—
107C2×C22⋊Dic61D411yescharacteristic
108C2×#11758198—21no—
109C2×#11758198—21no—
110C2×#11758198D411yescharacteristic
111C22⋊C4×D61—22no—
112C2×C4×Dic61—21no—
113C2×C4×Dic61C2311yescharacteristic
114#14519706—22no—
115C22⋊#92418—21no—
116C22⋊#92418C2312yes—
117#14519689—22no—
118C8×Dic61—22no—
119#14519684—21no—
120#14519684—21no—
121#14519684C2311yescharacteristic
122#14519684C2311yescharacteristic
123C22×D4×C61—21no—
124C22×D4×C61C2×C411yescharacteristic, complemented
125C23×C4×C61—21no—
126C23×C4×C61C2311yescharacteristic
127C22×C8×C61—21no—
128#121×C61—21no—
129#121×C61—21no—
130#121×C61C2×C412yescomplemented
131#121×C61C2312yes—
132C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
133C2×C22⋊C4×C61—21no—
134C22⋊C8×C61—21no—
135C22⋊C8×C61C2312yes—
136#95×C61—21no—
137#95×C61C2311yescharacteristic
138#95×C61C2311yescharacteristic
139C24×C61—21no—
140C24×C61C2×D411yescharacteristic
141C23×D61—21no—
142C23×D61—22no—
143C23×D61C2×D411yescharacteristic
144C2×D4×C61—22no—
145C2×D4×C61—22no—
146C2×D4×C61—21no—
147C2×D4×C61—42no—
148C2×D4×C61—42no—
149C2×D4×C61—81no—
150C2×D4×C61C22×C412yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—42no—
155C22×C4×C61—42no—
156C22×C4×C61—81no—
157C22×C4×C61—81no—
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C22×C411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—22no—
165C2×C22⋊D61—22no—
166C2×C22⋊D61—22no—
167C2×C22⋊D61—22no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—42no—
171C2×C22⋊D61—42no—
172C2×C22⋊D61—48no—
173C2×C22⋊D61C22⋊C412yes—
174C2×C22⋊D61C22⋊C412yes—
175C2×C22⋊D61D814yes—
176C2×C22⋊D61SD1614yes—
177C22×Dic61—21no—
178C22×Dic61—22no—
179C22×Dic61—21no—
180C22×Dic61—21no—
181C22×Dic61C2×D411yescharacteristic
182C22×Dic61C2×D411yescharacteristic
183C22×Dic61C2×D411yescharacteristic
184#11758224—48no—
185#11758224—44no—
186#11758224—44no—
187D4×D61—44no—
188D4×D61—44no—
189D4×D61—48no—
190D4×D61—82no—
191#11758222—48no—
192C2×D244—22no—
193C2×D244—21no—
194C2×D244—81no—
195C2×D244C22×C412yes—
196C2×C4×D61—22no—
197C2×C4×D61—22no—
198C2×C4×D61—42no—
199C2×C4×D61—42no—
200C2×C4×D61—81no—
201C2×C4×D61—81no—
202C2×C4×D61C22×C412yes—
203C2×C4×D61C2×D412yes—
204C2×Dic122—22no—
205C2×C8×C61—22no—
206C2×C8×C61—81no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61C22×C412yes—
209C22⋊C4×C61—22no—
210C22⋊C4×C61—22no—
211C22⋊Dic61—22no—
212C22⋊Dic61—22no—
213C22⋊Dic61—42no—
214C22⋊Dic61C22⋊C412yes—
215C22⋊Dic61C22⋊C412yes—
216#11758198—22no—
217#11758198—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—42no—
221#11758198C22⋊C412yes—
222#11758198C22⋊C412yes—
223C4⋊Dic61—21no—
224C4⋊Dic61—81no—
225C4⋊Dic61C22×C412yes—
226#11758196—22no—
227#11758196—22no—
228#11758196—42no—
229#11758196—42no—
230#11758196—81no—
231#11758196C22⋊C412yes—
232#11758196C22⋊C412yes—
233C4×Dic61—42no—
234C4×Dic61C22×C412yes—
235C4×Dic61C2×D412yes—
236C2×#92418—22no—
237C2×#92418—81no—
238C8×D61—82no—
239C23×C61—22no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—42no—
243C23×C61—81no—
244C23×C61—81no—
245C23×C61C2×C22⋊C411yescharacteristic
246C23×C61C2×C22⋊C411yescharacteristic
247C23×C61C2×D812yes—
248C23×C61C2×SD1612yes—
249C23×C61C22×D411yescharacteristic
250C22×D61—22no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61—42no—
254C22×D61—44no—
255C22×D61—82no—
256C22×D61—82no—
257C22×D61—81no—
258C22×D61—81no—
259C22×D61C2×C22⋊C412yes—
260C22×D61C2×D812yes—
261C22×D61C2×SD1612yes—
262D4×C61—42no—
263D4×C61—42no—
264D4×C61—42no—
265D4×C61—44no—
266D4×C61—81no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—42no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—84no—
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C23×C411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C22⋊D61—42no—
287C22⋊D61—42no—
288C22⋊D61—44no—
289C22⋊D61—44no—
290C22⋊D61—44no—
291C22⋊D61—82no—
292C22⋊D61—82no—
293C22⋊D61#10218yes—
294C22⋊D61#10218yes—
295C2×Dic61—22no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—42no—
299C2×Dic61—44no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61C2×C22⋊C412yes—
307C2×Dic61C2×C22⋊C412yes—
308C2×Dic61C2×C22⋊C412yes—
309C2×Dic61C2×D812yes—
310C2×Dic61C2×SD1612yes—
311D244—42no—
312D244—44no—
313D244—81no—
314C4×D61—42no—
315C4×D61—42no—
316C4×D61—44no—
317C4×D61—44no—
318C4×D61—84no—
319Dic122—44no—
320C8×C61—42no—
321#92418—42no—
322#17613—611nomaximal, Sylow
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—162no—
335C22×C61C2×#10212yes—
336C22×C61C2×#10212yes—
337C22×C61C22×C22⋊C411yescharacteristic
338C22×C61C22×D811yescharacteristic
339C22×C61C22×SD1611yescharacteristic
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—42no—
346C2×D61—42no—
347C2×D61—164no—
348C2×D61—162no—
349C2×D61C2×#10214yes—
350C4×C61—21no—
351C4×C61—21no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—42no—
355C4×C61—42no—
356C4×C61—81no—
357Dic61—22no—
358Dic61—22no—
359Dic61—42no—
360Dic61—81no—
361Dic61—81no—
362Dic61C2×#10214yes—
363#3496—611no—
364#2972—611no—
365#2349—611no—
366#1519—611no—
367#1519—612no—
368#1519—611no—
369#1517—612no—
370#1502—612no—
371C2×#327—611no—
372C2×#327—612no—
373C2×#327D6111yescharacteristic, complemented
374C2×C61—21no—
375C2×C61—21no—
376C2×C61—22no—
377C2×C61—22no—
378C2×C61—82no—
379C2×C61#288311yescharacteristic
380C2×C61C22×#10211yescharacteristic
381C2×C61#290111yescharacteristic
382D61—24no—
383D61—82no—
384C2×H(5,𝔽2)—1221no—
385#547—612no—
386#547—612no—
387#546—1222no—
388#546—1222no—
389D42—612no—
390D42—612no—
391#537—1221no—
392#534—1221no—
393#534—1221no—
394#532—612no—
395C2×#121—611no—
396C2×#121—612no—
397C2×#121C2×D6111yescharacteristic
398C2×C4×D4—611no—
399C2×C4×D4—1221no—
400C8×D4—1222no—
401C8×D4—1222no—
402#431—612no—
403C2×C22⋊C8—611no—
404C2×C22⋊C8—612no—
405C2×C22⋊C8C2×D6111yescharacteristic, complemented
406#389—1221no—
407#385—1221no—
408#385—1221no—
409#382—611no—
410#380—611no—
411#380—611no—
412C4×C4⋊C4—611no—
413C2×#95—611no—
414C2×#95C2×D6111yescharacteristic, complemented
415#327—612no—
416#327—612no—
417#327—612no—
418#327—612no—
419#327—612no—
420#327—612no—
421#327C2×D6112yescomplemented
422#327C2×D6112yescomplemented
423C61#1761311yescharacteristic, complemented, Sylow
424H(5,𝔽2)—2444no—
425H(5,𝔽2)—2444no—
426C2×#41—1222no—
427C2×#41—1222no—
428C2×#41—1222no—
429C22×D4—21no—
430C22×D4—611no—
431C22×D4—612no—
432C22×D4—611no—
433C22×D4—1222no—
434C22×D4—1222no—
435C22×D4—1222no—
436C22×D4—1221no—
437C22×D4C4×D6111yescharacteristic, complemented
438C23×C4—21no—
439C23×C4—611no—
440C23×C4—1221no—
441C23×C4C22×D6111yescharacteristic
442C22×C8—21no—
443C22×C8—1222no—
444C22×C8—1221no—
445C4⋊Q8—612no—
446#127—612no—
447#124—1222no—
448#123—1222no—
449#123—1222no—
450#123—1222no—
451#123—1222no—
452C22⋊Q8—1222no—
453C22⋊Q8—1222no—
454#121—21no—
455#121—21no—
456#121—612no—
457#121—612no—
458#121—612no—
459#121—612no—
460#121—1222no—
461#121—1222no—
462#121—1222no—
463#121—1222no—
464#121—1222no—
465#121—1221no—
466#121—1221no—
467#121C4×D6112yescomplemented
468#121C22×D6112yes—
469#120—1222no—
470#120—1222no—
471#120—1222no—
472#120—1222no—
473C4×D4—612no—
474C4×D4—612no—
475C4×D4—612no—
476C4×D4—612no—
477C4×D4—612no—
478C4×D4—612no—
479C4×D4—1222no—
480C4×D4—2444no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—612no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1221no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4C4×D6111yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—611no—
491C2×C22⋊C4—611no—
492C2×C22⋊C4—1222no—
493C2×C22⋊C4—1221no—
494C2×C22⋊C4—1221no—
495C2×C22⋊C4—1221no—
496C2×C42—611no—
497C2×C42—1221no—
498C4⋊C8—1222no—
499C22⋊C8—21no—
500C22⋊C8—612no—
501C22⋊C8—1222no—
502C22⋊C8—1221no—
503C22⋊C8C22×D6112yes—
504C4×C8—1222no—
505#95—21no—
506#95—611no—
507#95—611no—
508#95—1221no—
509#95—1221no—
510#95C22×D6111yescharacteristic
511#95C22×D6111yescharacteristic
512C24—21no—
513C24—611no—
514C24—1222no—
515C24—1221no—
516C24D4×D6111yescharacteristic
517#41—2448no—
518#41—2444no—
519#41—2444no—
520#41—2448no—
521C2×Q8—1222no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—81no—
528C2×D4—612no—
529C2×D4—612no—
530C2×D4—614no—
531C2×D4—614no—
532C2×D4—612no—
533C2×D4—1222no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1222no—
537C2×D4—1222no—
538C2×D4—1222no—
539C2×D4—1222no—
540C2×D4—1221no—
541C2×D4—4881no—
542C2×D4—4882no—
543C2×D4—2448no—
544C2×D4—2444no—
545C2×D4—2444no—
546C2×D4—2448no—
547C2×D4—2442no—
548C2×D4—2442no—
549C2×D4C2×C4×D6112yes—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—81no—
556C22×C4—81no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—612no—
561C22×C4—612no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—4881no—
569C22×C4—4881no—
570C22×C4—2442no—
571C22×C4—2442no—
572C22×C4C2×C4×D6111yescharacteristic
573C22×C4C2×C4×D6111yescharacteristic
574C22×C4D4×D6111yescharacteristic
575C22×C4D4×D6111yescharacteristic
576C22×C4D4×D6111yescharacteristic
577C22×C4C23×D6111yescharacteristic
578C2×C8—22no—
579C2×C8—81no—
580C2×C8—1222no—
581C2×C8—4882no—
582C2×C8—4881no—
583C4⋊C4—21no—
584C4⋊C4—612no—
585C4⋊C4—612no—
586C4⋊C4—612no—
587C4⋊C4—1222no—
588C4⋊C4—1222no—
589C4⋊C4—1221no—
590C4⋊C4—4881no—
591C4⋊C4—4881no—
592C4⋊C4—2442no—
593C4⋊C4—2442no—
594C4⋊C4C2×C4×D6112yes—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—612no—
598C22⋊C4—612no—
599C22⋊C4—612no—
600C22⋊C4—612no—
601C22⋊C4—1222no—
602C22⋊C4—1222no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—2442no—
608C22⋊C4—2442no—
609C42—612no—
610C42—612no—
611C42—2442no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—42no—
616C23—81no—
617C23—81no—
618C23—612no—
619C23—612no—
620C23—612no—
621C23—1222no—
622C23—4881no—
623C23—4881no—
624C23—4882no—
625C23—4882no—
626C23—2441no—
627C23—2441no—
628C23—2444no—
629C23—2442no—
630C23C22⋊C4×D6111yescharacteristic
631C23C22⋊C4×D6111yescharacteristic
632C23D8×D6112yes—
633C23SD16×D6112yes—
634C23C2×D4×D6111yescharacteristic
635Q8—2444no—
636D4—42no—
637D4—44no—
638D4—42no—
639D4—42no—
640D4—81no—
641D4—618no—
642D4—618no—
643D4—4881no—
644D4—4882no—
645D4—4882no—
646D4—2442no—
647D4—2444no—
648D4—2444no—
649D4—2444no—
650D4—2444no—
651D4—2442no—
652D4—2442no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—84no—
668C2×C4—612no—
669C2×C4—612no—
670C2×C4—612no—
671C2×C4—612no—
672C2×C4—612no—
673C2×C4—1222no—
674C2×C4—4884no—
675C2×C4—2442no—
676C2×C4—2442no—
677C2×C4—2444no—
678C2×C4—2444no—
679C2×C4—2444no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2442no—
689C2×C4C22⋊C4×D6111yescharacteristic
690C2×C4C22⋊C4×D6111yescharacteristic
691C2×C4C22×C4×D6111yescharacteristic
692C2×C4C2×D4×D6111yescharacteristic
693C8—42no—
694C8—2442no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—162no—
707C22—614no—
708C22—1222no—
709C22—1222no—
710C22—9762no—
711C22—9764no—
712C22—2442no—
713C22—2442no—
714C22—2442no—
715C22—2442no—
716C22—2442no—
717C22#102×D6112yes—
718C22#102×D6112yes—
719C22C2×C22⋊C4×D6111yescharacteristic
720C22C2×D8×D6111yescharacteristic
721C22C2×SD16×D6111yescharacteristic
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—42no—
728C4—81no—
729C4—614no—
730C4—1222no—
731C4—1222no—
732C4—4881no—
733C4—4881no—
734C4—2442no—
735C2—21no—
736C2—22no—
737C2—22no—
738C2—21no—
739C2—82no—
740C2—1224no—
741C2—4882no—
742C2#2145427711yescharacteristic
743C2C2×#102×D6111yescharacteristic
744C2#2145436311yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#327C2
socleC22×C61C22×C22⋊C4
prime radical#21459576C2
cosocleC22×C4×C61C24
hypercenterC2×#327D61
hypocenterC61#17613
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#327

Complements

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

NH ≅ G/Ntype
2. #21454841C2semidirect
3. #21448726C2semidirect
4. #21444388C2semidirect
5. #21444387C2semidirect
6. #21444385C2semidirect
7. #21444377C2semidirect
8. #21444312C2semidirect
9. C2×#16839495C2semidirect
10. #327×D61C2semidirect
11. C2×C61×#327C2semidirect
13. #16840413C4semidirect
14. #16840412C4semidirect
17. #16840396C4semidirect
18. D4×C22⋊D61C4semidirect
29. #16839812C22semidirect
30. C2×C22⋊#92418C22semidirect
31. C22⋊C8×D61C22semidirect
35. #16839626C22semidirect
36. #16839622C22semidirect
37. #16839621C22semidirect
38. #16839613C22semidirect
39. #95×D61C22semidirect
40. #16839497C22semidirect
41. #16839497C22semidirect
42. #16839496C22semidirect
43. #16839496C22semidirect
44. #16839495C22semidirect
45. #16839495C22semidirect
47. C2×C22⋊C8×C61C22semidirect
48. C2×#95×C61C22semidirect
49. C61×#327C22semidirect
50. C61×#327C22semidirect
56. C22×D244C2×C4semidirect
62. C2×D4×D61C2×C4semidirect
67. #14519776C2×C4semidirect
68. #14519773C2×C4semidirect
76. #14519752C2×C4semidirect
79. #14519751C2×C4semidirect
86. #14519748C2×C4semidirect
91. D4×Dic61C2×C4semidirect
92. #14519739C2×C4semidirect
100. C2×C4⋊Dic61C2×C4semidirect
105. C4⋊C4×D61C2×C4semidirect
124. C22×D4×C61C2×C4semidirect
130. #121×C61C2×C4semidirect
132. C2×C4⋊C4×C61C2×C4semidirect
373. C2×#327D61semidirect
405. C2×C22⋊C8C2×D61semidirect
414. C2×#95C2×D61semidirect
421. #327C2×D61semidirect
422. #327C2×D61semidirect
423. C61#17613semidirect
437. C22×D4C4×D61semidirect
467. #121C4×D61semidirect
488. C2×C4⋊C4C4×D61semidirect

Maximal subgroups

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

subgroupindex
#214595762
#214548412
#214487262
#214443882
#214443872
#214443852
#214443772
#214443122
C2×#168394952
#327×D612
C2×C61×#3272
#1761361