Finite Group Databasebeta

← #30611354

Subgroups — #30611354

Order 15616.

1350 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462667C211yesmaximal, characteristic, complemented
2#21462332C211yesmaximal, characteristic, complemented
3#21461256C212yesmaximal, complemented
4#21461254C212yesmaximal, complemented
5#21461250C211yesmaximal, characteristic, complemented
6#21461249C211yesmaximal, characteristic, complemented
7#21461200C211yesmaximal, characteristic, complemented
8#21461198C211yesmaximal, characteristic, complemented
9C2×#16840614C212yesmaximal, complemented
10D61⋊#327C212yesmaximal, complemented
11#21459577C211yesmaximal, characteristic
12C2×D4×#6923—21no—
13#16840790—21no—
14#16840789—22no—
15D4×#92420—21no—
16#16840781C2211yescharacteristic, complemented
17#16840780C2211yescharacteristic, complemented
18C2×#14519834C2212yescomplemented
19D61⋊(C22⋊C8)C2212yescomplemented
20#16840713—21no—
21#16840709—22no—
22#16840706C2211yescharacteristic, complemented
23#16840704C2212yescomplemented
24C4×C4⋊#6923C2211yescharacteristic, complemented
25C2×(C2×#6923)⋊C4C2212yescomplemented
26#16840614C2212yescomplemented
27#16840614C2212yescomplemented
28#16840614C2212yescomplemented
29#16840614C2212yescomplemented
30#16840614C2211yescharacteristic, complemented
31#16840614C2212yescomplemented
32#16840614C2211yescharacteristic, complemented
33#16840613C2212yescomplemented
34#16840613C2211yescharacteristic, complemented
35#16840613C2211yescharacteristic, complemented
36C2×#14519823—21no—
37#16840415C411yescharacteristic, complemented
38#16840413C412yescomplemented
39#16840404—22no—
40#16840403—21no—
41#16840400—21no—
42D4×D244C411yescharacteristic, complemented
43D4×D244C411yescharacteristic, complemented
44#16840396C412yescomplemented
45#16840342—21no—
46#16840323—22no—
47#16840313C2211yescharacteristic
48#16840309C2211yescharacteristic
49C2×#14519752C2212yes—
50#121×D61C2212yes—
51C4×D4×D61C2211yescharacteristic
52C61×#547C411yescharacteristic, complemented
53C23×#6923—22no—
54C2×D61⋊C8—22no—
55C22×#92420—22no—
56D4×#6923—44no—
57C2×C4⋊#6923—21no—
58C2×C4⋊#6923—21no—
59C2×C4⋊#6923—22no—
60C2×C22⋊#6923—22no—
61C2×C4×#6923—21no—
62#14519844—21no—
63C4⋊#92420—21no—
64#14519834—22no—
65#14519834C2311yescharacteristic
66#14519834C2312yes—
67#14519834C2311yescharacteristic
68C22⋊#92420—22no—
69C4×#92420—21no—
70C4×#92420—21no—
71(C2×#6923)⋊C4—21no—
72(C2×#6923)⋊C4—22no—
73(C2×#6923)⋊C4C2311yescharacteristic
74(C2×#6923)⋊C4C2312yes—
75(C2×#6923)⋊C4C2311yescharacteristic
76#14519823—44no—
77#14519823—44no—
78C2×#11758226—21no—
79C2×#11758226—21no—
80C2×#11758222—22no—
81C2×#11758222—21no—
82C22×D244—22no—
83C22×D244—21no—
84C22×D244C2×C412yescomplemented
85C2×D4×D61—22no—
86C2×D4×D61—21no—
87C2×D4×D61—22no—
88C2×D4×D61C2×C412yescomplemented
89C2×D4×D61D411yescharacteristic
90C22×C4×D61C2312yes—
91#14519776C2×C411yescharacteristic, complemented
92#14519774C2×C411yescharacteristic, complemented
93#14519773C2×C411yescharacteristic, complemented
94#14519766—21no—
95#14519763—21no—
96#14519762—22no—
97#14519762—22no—
98#14519760—22no—
99#14519755—22no—
100#14519753—21no—
101#14519752—22no—
102#14519752—22no—
103#14519752—21no—
104#14519752—21no—
105#14519752C2×C412yescomplemented
106#14519752C2×C412yescomplemented
107#14519752C2312yes—
108#14519752C2311yescharacteristic
109#14519751—21no—
110#14519751C2×C412yescomplemented
111#14519750—22no—
112#14519750—21no—
113#14519750—22no—
114#14519749—22no—
115#14519748C2311yescharacteristic
116#14519747—22no—
117#14519747—22no—
118#14519747—22no—
119#14519745—22no—
120C4×D244C2×C411yescharacteristic
121C4×D244C2×C411yescharacteristic, complemented
122D4×Dic61D411yescharacteristic
123#14519739—21no—
124#14519739C2×C412yescomplemented
125#14519739D411yescharacteristic
126C4×C22⋊D61—21no—
127C4×C22⋊D61C2×C412yes—
128#14519737D412yes—
129C4⋊C4×D61C2×C412yescomplemented
130C4⋊C4×D61D411yescharacteristic
131C2×#11758198—22no—
132C22⋊C4×D61—22no—
133C22⋊C4×D61D412yes—
134C42×D61C2311yescharacteristic
135C2×#41×C61—21no—
136C4⋊Q8×C61C2×C411yescharacteristic, complemented
137#123×C61—22no—
138C22⋊Q8×C61—21no—
139#121×C61C2×C412yescomplemented
140C4×D4×C61C2×C411yescharacteristic
141C4×D4×C61C2×C411yescharacteristic, complemented
142C2×C4⋊C4×C61C2×C412yescomplemented
143C23×D61—22no—
144C23×D61—22no—
145C23×D61C2×D412yes—
146C22×#6923—21no—
147C22×#6923—22no—
148C22×#6923—21no—
149C22×#6923—44no—
150C22×#6923—44no—
151C22×#6923—82no—
152#41×C61—44no—
153C2×Q8×C61—21no—
154C2×D4×C61—22no—
155C2×D4×C61C22⋊C411yescharacteristic
156C2×D4×C61C22×C411yescharacteristic
157C22×C4×C61—22no—
158C22×C4×C61—21no—
159C22×C4×C61C22×C412yes—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—21no—
162C2×C22⋊D61—21no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61—21no—
165C2×C22⋊D61C22⋊C412yes—
166C22×Dic61C2×D412yes—
167#11758226—44no—
168#11758226—42no—
169#11758226—42no—
170D4×D61—44no—
171D4×D61—44no—
172D4×D61—44no—
173D4×D61—48no—
174D4×D61—82no—
175D4×D61D814yes—
176D4×D61SD1614yes—
177#11758222—48no—
178#11758222—42no—
179#11758222—42no—
180C2×D244—22no—
181C2×D244—22no—
182C2×D244—22no—
183C2×D244—21no—
184C2×D244—21no—
185C2×D244—22no—
186C2×D244—21no—
187C2×D244—44no—
188C2×D244—44no—
189C2×D244—44no—
190C2×D244—82no—
191C2×D244C22⋊C411yescharacteristic
192C2×D244C22×C412yes—
193C2×D244C22×C411yescharacteristic
194C2×C4×D61—22no—
195C2×C4×D61—21no—
196C2×C4×D61—22no—
197C2×C4×D61—82no—
198C2×C4×D61C22×C412yes—
199C2×C4×D61C2×D412yes—
200C2×C4×D61C2×D411yescharacteristic
201C2×C4×D61C2×D412yes—
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2411yescharacteristic
204C2×Dic122—21no—
205C22⋊#6923—44no—
206C2×#92420—21no—
207C2×#92420—22no—
208C2×#92420—21no—
209C2×#92420—82no—
210C4⋊#6923—42no—
211C4⋊#6923—42no—
212C4⋊#6923—82no—
213C4×#6923—42no—
214D61⋊C8—82no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61C22⋊C411yescharacteristic
218C4⋊C4×C61C22×C411yescharacteristic
219C4⋊C4×C61C22×C412yes—
220C22⋊C4×C61—21no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61C22⋊C412yes—
223C42×C61C22×C411yescharacteristic
224C22⋊Dic61—21no—
225C22⋊Dic61C22⋊C412yes—
226#11758198—22no—
227#11758198—21no—
228#11758198—22no—
229#11758198—22no—
230#11758198—22no—
231#11758198—22no—
232#11758198—21no—
233#11758198C22⋊C412yes—
234#11758198C22⋊C412yes—
235C4⋊Dic61C22⋊C411yescharacteristic
236C4⋊Dic61C22×C411yescharacteristic
237#11758196—22no—
238#11758196—21no—
239#11758196C22⋊C412yes—
240C4×Dic61C22×C411yescharacteristic
241C4×Dic61C2×D411yescharacteristic
242C4×Dic61C2×D411yescharacteristic
243C23×C61—21no—
244C23×C61C2×C22⋊C412yes—
245C22×D61—21no—
246C22×D61—22no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—44no—
250C22×D61—44no—
251C22×D61—82no—
252C22×D61—82no—
253C22×D61—82no—
254C22×D61—82no—
255C22×D61C2×C22⋊C412yes—
256C22×D61C2×D814yes—
257C22×D61C2×SD1614yes—
258C22×D61C22×D411yescharacteristic
259C2×#6923—22no—
260C2×#6923—41no—
261C2×#6923—41no—
262C2×#6923—41no—
263C2×#6923—41no—
264C2×#6923—42no—
265C2×#6923—42no—
266C2×#6923—41no—
267C2×#6923—42no—
268C2×#6923—88no—
269Q8×C61—42no—
270D4×C61—41no—
271D4×C61—44no—
272D4×C61#10214yes—
273C2×C4×C61—21no—
274C2×C4×C61—22no—
275C2×C4×C61—42no—
276C2×C4×C61—44no—
277C2×C4×C61—42no—
278C2×C4×C61C2×C22⋊C411yescharacteristic
279C2×C4×C61C2×C22⋊C412yes—
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C23×C411yescharacteristic
282C22⋊D61—44no—
283C22⋊D61—41no—
284C22⋊D61—41no—
285C22⋊D61—42no—
286C22⋊D61—82no—
287C22⋊D61—81no—
288C22⋊D61#10218yes—
289C2×Dic61—21no—
290C2×Dic61—42no—
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C412yes—
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C22×D411yescharacteristic
295D244—41no—
296D244—42no—
297D244—41no—
298D244—42no—
299D244—41no—
300D244—42no—
301D244—44no—
302D244—44no—
303D244—42no—
304D244—81no—
305D244—82no—
306D244#10214yes—
307C4×D61—42no—
308C4×D61—41no—
309C4×D61—42no—
310C4×D61—41no—
311C4×D61—42no—
312C4×D61—44no—
313C4×D61—42no—
314C4×D61—44no—
315C4×D61C2×D812yes—
316C4×D61C2×SD1612yes—
317Dic122—42no—
318#92420—41no—
319#92420—42no—
320#92420—41no—
321#17613—611nomaximal, Sylow
322C22×C61—22no—
323C22×C61—22no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61C2×#10214yes—
328C22×C61C22×C22⋊C411yescharacteristic
329C2×D61—21no—
330C2×D61—22no—
331C2×D61—21no—
332C2×D61—22no—
333C2×D61—44no—
334C2×D61—44no—
335C2×D61—41no—
336C2×D61—42no—
337C2×D61—41no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—41no—
341C2×D61—164no—
342C2×D61—164no—
343C2×D61C2×#10214yes—
344C2×D61C22×D811yescharacteristic
345C2×D61C22×SD1611yescharacteristic
346#6923—42no—
347#6923—81no—
348#6923—82no—
349C4×C61—21no—
350C4×C61—22no—
351C4×C61—21no—
352C4×C61—41no—
353C4×C61—42no—
354C4×C61C2×#10212yes—
355Dic61—21no—
356Dic61—22no—
357Dic61—21no—
358Dic61—41no—
359Dic61C2×#10212yes—
360#3496—611no—
361#2972—611no—
362#2349—611no—
363#1519—612no—
364#1519—612no—
365#1517—611no—
366#1517—611no—
367#1502—611no—
368#1502—611no—
369C2×#327—612no—
370C2×#327—612no—
371C2×C61—24no—
372C2×C61—81no—
373C2×C61#288311yescharacteristic
374C2×C61C22×#10211yescharacteristic
375C2×C61#290111yescharacteristic
376D61—21no—
377D61—21no—
378D61—24no—
379D61—81no—
380D61—82no—
381C2×H(5,𝔽2)—1221no—
382#547—611no—
383#547—612no—
384#547#692311yescharacteristic, complemented
385#546—1221no—
386#546—1222no—
387#546—1221no—
388D42—612no—
389D42—611no—
390D42—611no—
391#537—1221no—
392#534—1222no—
393#532—611no—
394#532—611no—
395C2×#121—612no—
396C2×#121—612no—
397C2×C4×D4—611no—
398C2×C4×D4—1221no—
399C8×D4—1221no—
400C8×D4—1222no—
401C8×D4—1221no—
402#431—611no—
403#431—611no—
404C2×C22⋊C8—612no—
405C2×C22⋊C8—612no—
406#389—1221no—
407#385—1222no—
408#382—611no—
409#380—612no—
410C4×C4⋊C4—611no—
411C2×#95—612no—
412#327—611no—
413#327—612no—
414#327—611no—
415#327—612no—
416#327—611no—
417#327—612no—
418#327—612no—
419#327—612no—
420#327—612no—
421#327—611no—
422C61#1761311yescharacteristic, complemented, Sylow
423H(5,𝔽2)—2444no—
424H(5,𝔽2)—2444no—
425C2×#41—21no—
426C2×#41—1221no—
427C2×#41—1222no—
428C2×#41—1221no—
429C2×#41—1221no—
430C22×D4—611no—
431C22×D4—612no—
432C22×D4—612no—
433C22×D4—1221no—
434C22×D4—1222no—
435C22×D4—1222no—
436C22×D4—1222no—
437C22×D4—1221no—
438C23×C4—612no—
439C23×C4—1222no—
440C22×C8—1222no—
441C22×C8—1222no—
442C4⋊Q8—611no—
443C4⋊Q8C2×#692311yescharacteristic, complemented
444#127—611no—
445#127—611no—
446#124—1221no—
447#124—1221no—
448#123—22no—
449#123—1222no—
450#123—1222no—
451#123—1222no—
452C22⋊Q8—21no—
453C22⋊Q8—1222no—
454C22⋊Q8—1221no—
455#121—611no—
456#121—612no—
457#121—612no—
458#121—611no—
459#121—612no—
460#121—612no—
461#121—1222no—
462#121—1222no—
463#121—1221no—
464#121—1222no—
465#121—1222no—
466#121—1221no—
467#121—1221no—
468#121—1222no—
469#121—1221no—
470#121C2×#692312yescomplemented
471#120—1222no—
472#120—1222no—
473#120—1222no—
474#120—1222no—
475C4×D4—611no—
476C4×D4—612no—
477C4×D4—611no—
478C4×D4—612no—
479C4×D4—612no—
480C4×D4—611no—
481C4×D4—611no—
482C4×D4—1221no—
483C4×D4—1221no—
484C4×D4—2444no—
485C4×D4C2×#692311yescharacteristic
486C4×D4C2×#692311yescharacteristic, complemented
487C2×C4⋊C4—611no—
488C2×C4⋊C4—612no—
489C2×C4⋊C4—1222no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4—1221no—
492C2×C4⋊C4C2×#692312yescomplemented
493C2×C22⋊C4—612no—
494C2×C22⋊C4—1222no—
495C2×C22⋊C4—1222no—
496C2×C22⋊C4—1222no—
497C2×C42—611no—
498C2×C42—1221no—
499C4⋊C8—1221no—
500C4⋊C8—1221no—
501C22⋊C8—611no—
502C22⋊C8—612no—
503C22⋊C8—611no—
504C22⋊C8—1222no—
505C22⋊C8—1222no—
506C4×C8—1221no—
507C4×C8—1221no—
508#95—611no—
509#95—612no—
510#95—611no—
511#95—1222no—
512#95—1221no—
513C24—612no—
514C24—1222no—
515C24—1222no—
516#41—44no—
517#41—2442no—
518#41—2442no—
519#41—2448no—
520#41—2442no—
521#41—2442no—
522#41—2444no—
523C2×Q8—21no—
524C2×Q8—1221no—
525C2×D4—22no—
526C2×D4—612no—
527C2×D4—614no—
528C2×D4—614no—
529C2×D4—611no—
530C2×D4—612no—
531C2×D4—611no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1221no—
535C2×D4—1222no—
536C2×D4—1221no—
537C2×D4—1222no—
538C2×D4—1221no—
539C2×D4—1221no—
540C2×D4—1222no—
541C2×D4—1221no—
542C2×D4—1222no—
543C2×D4—1221no—
544C2×D4—4882no—
545C2×D4—4882no—
546C2×D4—2444no—
547C2×D4—2444no—
548C2×D4—2444no—
549C2×D4—2448no—
550C2×D4—2444no—
551C2×D4—2444no—
552C2×D4—2444no—
553C2×D4C22⋊#692311yescharacteristic
554C2×D4C22×#692311yescharacteristic
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—611no—
558C22×C4—612no—
559C22×C4—611no—
560C22×C4—612no—
561C22×C4—612no—
562C22×C4—611no—
563C22×C4—612no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1222no—
569C22×C4—1221no—
570C22×C4—4882no—
571C22×C4—4882no—
572C22×C4—2444no—
573C22×C4—2444no—
574C22×C4C22×#692312yes—
575C2×C8—1221no—
576C2×C8—1222no—
577C2×C8—1221no—
578C2×C8—4882no—
579C2×C8—4882no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—612no—
583C4⋊C4—611no—
584C4⋊C4—611no—
585C4⋊C4—1222no—
586C4⋊C4—1221no—
587C4⋊C4—4882no—
588C4⋊C4—2442no—
589C4⋊C4—2442no—
590C4⋊C4C22⋊#692311yescharacteristic
591C4⋊C4C22×#692312yes—
592C4⋊C4C22×#692311yescharacteristic
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—612no—
596C22⋊C4—612no—
597C22⋊C4—612no—
598C22⋊C4—1221no—
599C22⋊C4—1222no—
600C22⋊C4—1222no—
601C22⋊C4—1222no—
602C22⋊C4—1222no—
603C22⋊C4—1221no—
604C22⋊C4—1222no—
605C22⋊C4—1221no—
606C22⋊C4—2444no—
607C22⋊C4C22⋊#692312yes—
608C42—611no—
609C42—611no—
610C42—611no—
611C42—2442no—
612C42C22×#692311yescharacteristic
613C23—21no—
614C23—612no—
615C23—611no—
616C23—614no—
617C23—614no—
618C23—1221no—
619C23—1222no—
620C23—4882no—
621C23—4882no—
622C23—4882no—
623C23—4882no—
624C23—2442no—
625C23—2442no—
626C23—2444no—
627C23—2444no—
628C23C2×C22⋊#692312yes—
629Q8—42no—
630Q8—2442no—
631D4—41no—
632D4—44no—
633D4—618no—
634D4—614no—
635D4—4881no—
636D4—4882no—
637D4—4881no—
638D4—4882no—
639D4—2441no—
640D4—2442no—
641D4—2441no—
642D4—2441no—
643D4—2444no—
644D4—2442no—
645D4—2442no—
646D4—2444no—
647D4—2442no—
648D4—2441no—
649D4—2441no—
650D4—2444no—
651D4—2442no—
652D4#1451983914yes—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—611no—
659C2×C4—612no—
660C2×C4—612no—
661C2×C4—611no—
662C2×C4—612no—
663C2×C4—611no—
664C2×C4—1222no—
665C2×C4—1221no—
666C2×C4—4888no—
667C2×C4—2442no—
668C2×C4—2441no—
669C2×C4—2442no—
670C2×C4—2441no—
671C2×C4—2442no—
672C2×C4—2444no—
673C2×C4—2444no—
674C2×C4—2442no—
675C2×C4—2441no—
676C2×C4—2442no—
677C2×C4—2441no—
678C2×C4—2442no—
679C2×C4—2441no—
680C2×C4—2442no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2442no—
684C2×C4C2×C22⋊#692311yescharacteristic
685C2×C4C2×C22⋊#692312yes—
686C2×C4C2×C22⋊#692311yescharacteristic
687C2×C4C23×#692311yescharacteristic
688C8—2441no—
689C8—2442no—
690C8—2441no—
691C22—22no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—611no—
697C22—611no—
698C22—614no—
699C22—1221no—
700C22—1222no—
701C22—1221no—
702C22—1222no—
703C22—9764no—
704C22—9764no—
705C22—2444no—
706C22—2444no—
707C22—2441no—
708C22—2442no—
709C22—2442no—
710C22—2441no—
711C22—2442no—
712C22—2441no—
713C22C2×#1451983914yes—
714C22C22×C22⋊#692311yescharacteristic
715C4—21no—
716C4—22no—
717C4—21no—
718C4—41no—
719C4—42no—
720C4—612no—
721C4—1221no—
722C4—1222no—
723C4—1221no—
724C4—4882no—
725C4—4881no—
726C4—2442no—
727C4—2441no—
728C4C2×#1451983912yes—
729C2—24no—
730C2—81no—
731C2—1221no—
732C2—1224no—
733C2—1221no—
734C2—4881no—
735C2—4882no—
736C2#2146241911yescharacteristic
737C2C22×#1451983911yescharacteristic
738C2#2146245011yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#547C4
socleC22×C61C22×C22⋊C4
prime radical#21459577C2
cosocleC2×C4×D61C24
hypercenter#547#6923
hypocenterC61#17613
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #547

Complements

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

NH ≅ G/Ntype
1. #21462667C2semidirect
2. #21462332C2semidirect
3. #21461256C2semidirect
4. #21461254C2semidirect
5. #21461250C2semidirect
6. #21461249C2semidirect
7. #21461200C2semidirect
8. #21461198C2semidirect
9. C2×#16840614C2semidirect
10. D61⋊#327C2semidirect
16. #16840781C22semidirect
17. #16840780C22semidirect
18. C2×#14519834C22semidirect
19. D61⋊(C22⋊C8)C22semidirect
22. #16840706C22semidirect
23. #16840704C22semidirect
24. C4×C4⋊#6923C22semidirect
25. C2×(C2×#6923)⋊C4C22semidirect
26. #16840614C22semidirect
27. #16840614C22semidirect
28. #16840614C22semidirect
29. #16840614C22semidirect
30. #16840614C22semidirect
31. #16840614C22semidirect
32. #16840614C22semidirect
33. #16840613C22semidirect
34. #16840613C22semidirect
35. #16840613C22semidirect
37. #16840415C4semidirect
38. #16840413C4semidirect
42. D4×D244C4semidirect
43. D4×D244C4semidirect
44. #16840396C4semidirect
52. C61×#547C4semidirect
84. C22×D244C2×C4semidirect
88. C2×D4×D61C2×C4semidirect
91. #14519776C2×C4semidirect
92. #14519774C2×C4semidirect
93. #14519773C2×C4semidirect
105. #14519752C2×C4semidirect
106. #14519752C2×C4semidirect
110. #14519751C2×C4semidirect
121. C4×D244C2×C4semidirect
124. #14519739C2×C4semidirect
129. C4⋊C4×D61C2×C4semidirect
136. C4⋊Q8×C61C2×C4semidirect
139. #121×C61C2×C4semidirect
141. C4×D4×C61C2×C4semidirect
142. C2×C4⋊C4×C61C2×C4semidirect
384. #547#6923semidirect
422. C61#17613semidirect
443. C4⋊Q8C2×#6923semidirect
470. #121C2×#6923semidirect
486. C4×D4C2×#6923semidirect
492. C2×C4⋊C4C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214626672
#214623322
#214612562
#214612542
#214612502
#214612492
#214612002
#214611982
C2×#168406142
D61⋊#3272
#214595772
#1761361