Finite Group Databasebeta

← #29646391

Subgroups — #29646391

Order 15616.

1290 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#14519823C211yesmaximal, characteristic
2#21454927C211yesmaximal, characteristic, complemented
3C8×#11758222C211yesmaximal, characteristic, complemented
4#21444209C211yesmaximal, characteristic, complemented
5#21444208C212yesmaximal, complemented
6#21444206C211yesmaximal, characteristic, complemented
7#21444205C212yesmaximal, complemented
8#21444200C212yesmaximal, complemented
9C2×#16839491C211yesmaximal, characteristic, complemented
10D4⋊C8×D61C212yesmaximal, complemented
11C61×#1476C211yesmaximal, characteristic, complemented
12C2×#14519823C411yescharacteristic
13#16840245C411yescharacteristic
14#16840244C412yes—
15#16840242—21no—
16#16840242C411yescharacteristic
17#16840236—21no—
18#16840236C411yescharacteristic
19#16840234—22no—
20#16840234C412yes—
21C4×#11758226C2212yes—
22C4×#11758222—21no—
23C4×#11758222C2211yescharacteristic
24C2×C4×D244—21no—
25C2×C4×D244C2211yescharacteristic
26C4×D4×D61—22no—
27C4×D4×D61C2212yes—
28C8×Dic122—21no—
29C8×Dic122—21no—
30C8×D244—21no—
31C8×D244—21no—
32C8×C22⋊D61—22no—
33#16839825—22no—
34#16839815C2211yescharacteristic, complemented
35#16839814C2212yescomplemented
36#16839813C2212yescomplemented
37C2×C4⋊#92418C2211yescharacteristic, complemented
38C4⋊C8×D61C2212yescomplemented
39C4×C8×D61C2212yescomplemented
40Q8⋊#92418C2212yescomplemented
41#16839491C2212yescomplemented
42#16839491C2212yescomplemented
43D4⋊#92418C2212yescomplemented
44#16839489C2212yescomplemented
45#16839489C2212yescomplemented
46C4×#41×C61C2211yescharacteristic
47C61×#431C2211yescharacteristic, complemented
48C2×C4×C8×C61C2211yescharacteristic, complemented
49C61×Q8⋊C8C2211yescharacteristic, complemented
50C61×Q8⋊C8C2211yescharacteristic, complemented
51C61×D4⋊C8C2211yescharacteristic, complemented
52C61×D4⋊C8C2211yescharacteristic, complemented
53#14519823—24no—
54#14519823C818yescomplemented
55C2×#11758226C2×C412yes—
56C2×#11758222—21no—
57C2×#11758222C2×C411yescharacteristic
58C22×D244—21no—
59C22×D244C2×C411yescharacteristic
60C2×D4×D61—22no—
61C2×D4×D61C2×C412yes—
62C22×C4×D61—21no—
63C22×C4×D61—22no—
64C22×#92418—21no—
65C2×C8×D61—22no—
66C2×C8×D61—22no—
67Q8×Dic61C2×C412yes—
68C4×Dic122—21no—
69C4×Dic122D411yescharacteristic
70C4×Dic122D411yescharacteristic
71C4×D244—21no—
72C4×D244—22no—
73C4×D244—21no—
74C4×D244—21no—
75C4×D244—22no—
76C4×D244—21no—
77C4×D244—21no—
78C4×D244C2×C412yes—
79C4×D244D411yescharacteristic
80C4×D244D411yescharacteristic
81C4×D244C2312yes—
82D4×Dic61—22no—
83D4×Dic61C2×C412yes—
84#14519739—22no—
85#14519739—22no—
86#14519739C2×C412yes—
87#14519739C2×C412yes—
88C4×C22⋊D61—22no—
89C4×C22⋊D61—22no—
90C4×C22⋊D61D412yes—
91C4×C22⋊D61D412yes—
92#14519737—22no—
93#14519737—22no—
94#14519737—22no—
95#14519736—21no—
96#14519736C2×C411yescharacteristic
97#14519735—22no—
98#14519735C2×C412yes—
99#14519734—22no—
100#14519734C2×C412yes—
101C2×C4⋊Dic61—21no—
102C2×C4⋊Dic61C2×C411yescharacteristic
103C4⋊C4×D61—22no—
104C4⋊C4×D61C2×C412yes—
105C2×#11758198—21no—
106C2×#11758198—22no—
107C22⋊C4×D61—22no—
108C22⋊C4×D61—22no—
109C22⋊C4×D61—22no—
110C42×D61—22no—
111C42×D61C2312yes—
112C4⋊#92418—21no—
113C4⋊#92418—21no—
114C4⋊#92418C2312yes—
115#14519706—22no—
116#14519706—22no—
117C22⋊#92418—21no—
118#14519689—22no—
119#14519689—22no—
120C4×#92418C2312yes—
121C8×Dic61—22no—
122C8×Dic61—22no—
123C2×#41×C61C2×C411yescharacteristic
124C22×C8×C61—21no—
125C4×Q8×C61C2×C411yescharacteristic
126C4×Q8×C61C2311yescharacteristic
127C4×D4×C61—21no—
128C4×D4×C61—21no—
129C4×D4×C61C2×C411yescharacteristic
130C4×D4×C61C2311yescharacteristic
131#117×C61—21no—
132#117×C61C2×C411yescharacteristic
133C2×C42×C61—21no—
134C2×C42×C61C2311yescharacteristic
135C4⋊C8×C61C2311yescharacteristic
136C4⋊C8×C61C2311yescharacteristic
137C22⋊C8×C61—21no—
138C4×C8×C61—21no—
139C4×C8×C61—21no—
140C4×C8×C61C2311yescharacteristic
141C4×C8×C61C2311yescharacteristic
142C23×D61—21no—
143C23×D61—22no—
144#41×C61—22no—
145#41×C61C2×C814yescomplemented
146C2×Q8×C61C22×C411yescharacteristic
147C2×D4×C61—21no—
148C2×D4×C61C22×C411yescharacteristic
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C2×C22⋊D61—22no—
156C2×C22⋊D61C22⋊C412yes—
157C22×Dic61—21no—
158C22×Dic61—22no—
159#11758226—24no—
160#11758226C2×C818yescomplemented
161D4×D61—216no—
162D4×D61—24no—
163D4×D61C2×C818yescomplemented
164#11758222—28no—
165#11758222C2×C814yes—
166#11758222M1614yes—
167C2×D244—22no—
168C2×D244—21no—
169C2×D244—22no—
170C2×D244—28no—
171C2×D244C22⋊C411yescharacteristic
172C2×D244C2×C814yescomplemented
173C2×D244C22×C412yes—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—22no—
180C2×C4×D61—82no—
181C2×C4×D61—82no—
182C2×C4×D61—81no—
183C2×C4×D61—81no—
184C2×C4×D61C22×C412yes—
185C2×C4×D61C2×D412yes—
186C2×C4×D61C2×D412yes—
187C2×Dic122C22⋊C411yescharacteristic
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—42no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61C22×C411yescharacteristic
196C4⋊C4×C61C22×C411yescharacteristic
197C22⋊C4×C61—21no—
198C22⋊C4×C61—21no—
199C22⋊C4×C61—21no—
200C42×C61—21no—
201C42×C61—21no—
202C42×C61—21no—
203C42×C61C22×C411yescharacteristic
204C42×C61C2×D411yescharacteristic
205C42×C61C2×D411yescharacteristic
206C42×C61C2411yescharacteristic
207C22⋊Dic61—22no—
208C22⋊Dic61C22⋊C412yes—
209#11758198—22no—
210#11758198—22no—
211#11758198—22no—
212#11758198—22no—
213#11758198—22no—
214#11758198C22⋊C412yes—
215#11758198C22⋊C412yes—
216C4⋊Dic61—21no—
217C4⋊Dic61—22no—
218C4⋊Dic61C22⋊C411yescharacteristic
219C4⋊Dic61C22⋊C411yescharacteristic
220C4⋊Dic61C22×C412yes—
221#11758196—22no—
222#11758196C22⋊C412yes—
223#11758196C22⋊C412yes—
224C4×Dic61—22no—
225C4×Dic61—22no—
226C4×Dic61C22×C412yes—
227C4×Dic61C2×D412yes—
228C4×Dic61C2×D412yes—
229C2×#92418—22no—
230C2×#92418—22no—
231C2×#92418—81no—
232C8×D61—44no—
233C8×D61—82no—
234C23×C61—21no—
235C23×C61C2×C22⋊C411yescharacteristic
236C22×D61—22no—
237C22×D61—24no—
238C22×D61—28no—
239C22×D61—82no—
240C22×D61—82no—
241C22×D61—81no—
242C22×D61—81no—
243C22×D61C2×C22⋊C412yes—
244Q8×C61—21no—
245Q8×C61C22×C812yes—
246D4×C61—24no—
247D4×C61—21no—
248D4×C61C22×C812yes—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—24no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—81no—
259C2×C4×C61C2×C22⋊C411yescharacteristic
260C2×C4×C61C2×C22⋊C411yescharacteristic
261C2×C4×C61C2×C22⋊C411yescharacteristic
262C2×C4×C61C22×C812yes—
263C2×C4×C61C2×M1612yes—
264C2×C4×C61C23×C411yescharacteristic
265C2×C4×C61C22×D411yescharacteristic
266C2×C4×C61C22×D411yescharacteristic
267C22⋊D61—28no—
268C22⋊D61C22⋊C818yes—
269C2×Dic61—22no—
270C2×Dic61—82no—
271C2×Dic61—81no—
272C2×Dic61C2×C22⋊C412yes—
273C2×Dic61C2×C22⋊C412yes—
274C2×Dic61C2×C22⋊C412yes—
275D244—28no—
276D244—22no—
277D244—24no—
278D244C22⋊C814yes—
279D244C22×C814yes—
280C4×D61—22no—
281C4×D61—22no—
282C4×D61—28no—
283C4×D61—42no—
284C4×D61—42no—
285C4×D61—42no—
286C4×D61—82no—
287C4×D61—82no—
288C4×D61—82no—
289C4×D61—82no—
290C4×D61C22×C814yes—
291C4×D61C2×M1614yes—
292Dic122C22⋊C814yes—
293C8×C61—22no—
294C8×C61—41no—
295C8×C61—41no—
296C8×C61—41no—
297#92418—42no—
298#92418—42no—
299#17438—611nomaximal, Sylow
300C22×C61—21no—
301C22×C61—21no—
302C22×C61—22no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61C2×C22⋊C812yes—
306C22×C61C22×C22⋊C411yescharacteristic
307C2×D61—22no—
308C2×D61—22no—
309C2×D61—24no—
310C2×D61—42no—
311C2×D61—42no—
312C2×D61—88no—
313C2×D61—84no—
314C2×D61C2×C22⋊C814yes—
315C4×C61—22no—
316C4×C61—21no—
317C4×C61—21no—
318C4×C61—21no—
319C4×C61—41no—
320C4×C61—41no—
321C4×C61C2×C22⋊C812yes—
322C4×C61C23×C811yescharacteristic
323C4×C61C22×M1611yescharacteristic
324C4×C61#57611yescharacteristic
325C4×C61#57711yescharacteristic
326Dic61—22no—
327Dic61—22no—
328Dic61—42no—
329Dic61C2×C22⋊C814yes—
330C4×H(5,𝔽2)—611no—
331#2988—611no—
332C8×#41—611no—
333#1478—611no—
334#1478—612no—
335#1477—612no—
336#1477—611no—
337#1476—612no—
338#1476D6111yescharacteristic, complemented
339C2×D4⋊C8—611no—
340C2×D4⋊C8—612no—
341C2×C61—22no—
342C2×C61—42no—
343C2×C61C22×C22⋊C811yescharacteristic
344C2×C61#289711yescharacteristic
345C2×C61#290111yescharacteristic
346D61—24no—
347D61—44no—
348C2×H(5,𝔽2)—611no—
349#520—611no—
350#520—611no—
351#520—612no—
352#520—1221no—
353#518—612no—
354#518—611no—
355#518—1221no—
356#518—1222no—
357C4×#41—611no—
358C4×#41—612no—
359C4×#41—1221no—
360C4×#41C2×D6111yescharacteristic
361C2×C4×D4—612no—
362C2×C4×D4—611no—
363C2×C4×D4—1221no—
364C2×C4×D4—1222no—
365C8×Q8—1221no—
366C8×Q8—1221no—
367C8×D4—1221no—
368C8×D4—1221no—
369C8×D4—1222no—
370C8×D4—1222no—
371#431—611no—
372#431—612no—
373#431—612no—
374#431C2×D6111yescharacteristic, complemented
375C2×C4⋊C8—611no—
376C2×C4⋊C8—612no—
377C2×C4×C8—612no—
378C2×C4×C8C2×D6111yescharacteristic, complemented
379Q8⋊C8—612no—
380Q8⋊C8C2×D6111yescharacteristic, complemented
381Q8⋊C8C2×D6111yescharacteristic, complemented
382D4⋊C8—612no—
383D4⋊C8—612no—
384D4⋊C8—612no—
385D4⋊C8—612no—
386D4⋊C8—612no—
387D4⋊C8C2×D6111yescharacteristic, complemented
388D4⋊C8C2×D6111yescharacteristic, complemented
389C61#1743811yescharacteristic, complemented, Sylow
390H(5,𝔽2)—618no—
391H(5,𝔽2)—1224no—
392C2×#41—611no—
393C2×#41—612no—
394C2×#41—1221no—
395C2×#41C4×D6111yescharacteristic
396C22×D4—612no—
397C22×D4—611no—
398C22×D4—1221no—
399C22×D4—1222no—
400C23×C4—1222no—
401C23×C4—1221no—
402C22×C8—21no—
403C22×C8—1222no—
404C22×C8—1222no—
405C22×C8—1221no—
406C4×Q8—611no—
407C4×Q8—611no—
408C4×Q8—612no—
409C4×Q8—1221no—
410C4×Q8C4×D6111yescharacteristic
411C4×Q8C22×D6111yescharacteristic
412C4×D4—21no—
413C4×D4—21no—
414C4×D4—612no—
415C4×D4—612no—
416C4×D4—612no—
417C4×D4—612no—
418C4×D4—612no—
419C4×D4—612no—
420C4×D4—611no—
421C4×D4—611no—
422C4×D4—612no—
423C4×D4—1222no—
424C4×D4—1221no—
425C4×D4—1221no—
426C4×D4—1222no—
427C4×D4—1221no—
428C4×D4—1222no—
429C4×D4—1222no—
430C4×D4—1222no—
431C4×D4—1222no—
432C4×D4—1222no—
433C4×D4—1222no—
434C4×D4—1222no—
435C4×D4—1222no—
436C4×D4—1221no—
437C4×D4—1221no—
438C4×D4C4×D6111yescharacteristic
439C4×D4C22×D6111yescharacteristic
440#117—21no—
441#117—611no—
442#117—612no—
443#117—612no—
444#117—1222no—
445#117—1222no—
446#117—1221no—
447#117C4×D6111yescharacteristic
448C2×C4⋊C4—611no—
449C2×C4⋊C4—612no—
450C2×C4⋊C4—1222no—
451C2×C4⋊C4—1221no—
452C2×C22⋊C4—1222no—
453C2×C22⋊C4—1222no—
454C2×C22⋊C4—1222no—
455C2×C22⋊C4—1222no—
456C2×C22⋊C4—1221no—
457C2×C42—21no—
458C2×C42—612no—
459C2×C42—1222no—
460C2×C42C22×D6111yescharacteristic
461C4⋊C8—612no—
462C4⋊C8—1222no—
463C4⋊C8—1222no—
464C4⋊C8—1221no—
465C4⋊C8—1221no—
466C4⋊C8C22×D6111yescharacteristic
467C4⋊C8C22×D6111yescharacteristic
468C22⋊C8—21no—
469C22⋊C8—1222no—
470C22⋊C8—1222no—
471C22⋊C8—1221no—
472C4×C8—21no—
473C4×C8—21no—
474C4×C8—612no—
475C4×C8—1222no—
476C4×C8—1222no—
477C4×C8C22×D6111yescharacteristic
478C4×C8C22×D6111yescharacteristic
479C24—1222no—
480C24—1221no—
481#41—22no—
482#41—614no—
483#41—614no—
484#41—618no—
485#41—1228no—
486#41—1224no—
487#41C8×D6114yescomplemented
488C2×Q8—611no—
489C2×Q8C2×C4×D6111yescharacteristic
490C2×D4—21no—
491C2×D4—612no—
492C2×D4—618no—
493C2×D4—612no—
494C2×D4—611no—
495C2×D4—614no—
496C2×D4—1228no—
497C2×D4—1222no—
498C2×D4—1224no—
499C2×D4—1222no—
500C2×D4—12216no—
501C2×D4—1221no—
502C2×D4—1222no—
503C2×D4C2×C4×D6111yescharacteristic
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—612no—
508C22×C4—612no—
509C22×C4—612no—
510C22×C4—1222no—
511C22×C4—1222no—
512C22×C4—1222no—
513C22×C4—1222no—
514C22×C4—1222no—
515C22×C4—1221no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—4881no—
519C22×C4—4881no—
520C22×C4—4882no—
521C22×C4—4882no—
522C22×C4C2×C4×D6111yescharacteristic
523C22×C4D4×D6111yescharacteristic
524C22×C4D4×D6111yescharacteristic
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—42no—
530C2×C8—1222no—
531C2×C8—1222no—
532C2×C8—4882no—
533C2×C8—4881no—
534C2×C8—2444no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—612no—
538C4⋊C4—611no—
539C4⋊C4—612no—
540C4⋊C4—611no—
541C4⋊C4—612no—
542C4⋊C4—1222no—
543C4⋊C4—1222no—
544C4⋊C4—1221no—
545C4⋊C4C2×C4×D6111yescharacteristic
546C4⋊C4C2×C4×D6111yescharacteristic
547C22⋊C4—21no—
548C22⋊C4—21no—
549C22⋊C4—21no—
550C22⋊C4—612no—
551C22⋊C4—612no—
552C22⋊C4—612no—
553C22⋊C4—1222no—
554C22⋊C4—1222no—
555C22⋊C4—1222no—
556C22⋊C4—1222no—
557C22⋊C4—1222no—
558C22⋊C4—1222no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—612no—
563C42—612no—
564C42—612no—
565C42—1222no—
566C42—1222no—
567C42C2×C4×D6111yescharacteristic
568C42D4×D6111yescharacteristic
569C42D4×D6111yescharacteristic
570C42C23×D6111yescharacteristic
571C23—21no—
572C23—612no—
573C23—1228no—
574C23—1224no—
575C23—1222no—
576C23—4881no—
577C23—4881no—
578C23—4882no—
579C23—4882no—
580C23C22⋊C4×D6111yescharacteristic
581Q8—21no—
582Q8—614no—
583Q8C2×C8×D6112yes—
584D4—24no—
585D4—21no—
586D4—618no—
587D4—614no—
588D4—614no—
589D4—1228no—
590D4—1228no—
591D4—1224no—
592D4—1222no—
593D4C2×C8×D6112yes—
594C2×C4—21no—
595C2×C4—24no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—81no—
604C2×C4—612no—
605C2×C4—614no—
606C2×C4—614no—
607C2×C4—612no—
608C2×C4—612no—
609C2×C4—1228no—
610C2×C4—1222no—
611C2×C4—1222no—
612C2×C4—1222no—
613C2×C4—4882no—
614C2×C4—4882no—
615C2×C4—4882no—
616C2×C4—4882no—
617C2×C4—4882no—
618C2×C4—4881no—
619C2×C4—2442no—
620C2×C4—2442no—
621C2×C4—2442no—
622C2×C4C22⋊C4×D6111yescharacteristic
623C2×C4C22⋊C4×D6111yescharacteristic
624C2×C4C22⋊C4×D6111yescharacteristic
625C2×C4C2×C8×D6112yes—
626C2×C4M16×D6112yes—
627C2×C4C22×C4×D6111yescharacteristic
628C2×C4C2×D4×D6111yescharacteristic
629C2×C4C2×D4×D6111yescharacteristic
630C8—22no—
631C8—41no—
632C8—41no—
633C8—41no—
634C8—2442no—
635C8—2442no—
636C22—21no—
637C22—21no—
638C22—22no—
639C22—41no—
640C22—41no—
641C22—614no—
642C22—1222no—
643C22—1222no—
644C22—1224no—
645C22—4884no—
646C22—4888no—
647C22—2442no—
648C22—2442no—
649C22C22⋊C8×D6112yes—
650C22C2×C22⋊C4×D6111yescharacteristic
651C4—21no—
652C4—21no—
653C4—21no—
654C4—22no—
655C4—41no—
656C4—41no—
657C4—614no—
658C4—1222no—
659C4—1222no—
660C4—2442no—
661C4C22⋊C8×D6112yes—
662C4C22×C8×D6111yescharacteristic
663C4C2×M16×D6111yescharacteristic
664C4#1684056411yescharacteristic
665C4#1684056911yescharacteristic
666C2—22no—
667C2—42no—
668C2—1224no—
669C2—2444no—
670C2C2×C22⋊C8×D6111yescharacteristic
671C2#2145434111yescharacteristic
672C2#2145436311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC4×C61C23×C8
FrattiniC42C23×D61
FittingC61×#1476C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#14519823C4
cosocleC42×C61C24
hypercenter#1476D61
hypocenterC61#17438
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1476

Complements

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

NH ≅ G/Ntype
2. #21454927C2semidirect
3. C8×#11758222C2semidirect
4. #21444209C2semidirect
5. #21444208C2semidirect
6. #21444206C2semidirect
7. #21444205C2semidirect
8. #21444200C2semidirect
9. C2×#16839491C2semidirect
10. D4⋊C8×D61C2semidirect
11. C61×#1476C2semidirect
34. #16839815C22semidirect
35. #16839814C22semidirect
36. #16839813C22semidirect
37. C2×C4⋊#92418C22semidirect
38. C4⋊C8×D61C22semidirect
39. C4×C8×D61C22semidirect
40. Q8⋊#92418C22semidirect
41. #16839491C22semidirect
42. #16839491C22semidirect
43. D4⋊#92418C22semidirect
44. #16839489C22semidirect
45. #16839489C22semidirect
47. C61×#431C22semidirect
48. C2×C4×C8×C61C22semidirect
49. C61×Q8⋊C8C22semidirect
50. C61×Q8⋊C8C22semidirect
51. C61×D4⋊C8C22semidirect
52. C61×D4⋊C8C22semidirect
54. #14519823C8semidirect
145. #41×C61C2×C8semidirect
160. #11758226C2×C8semidirect
163. D4×D61C2×C8semidirect
172. C2×D244C2×C8semidirect
338. #1476D61semidirect
374. #431C2×D61semidirect
378. C2×C4×C8C2×D61semidirect
380. Q8⋊C8C2×D61semidirect
381. Q8⋊C8C2×D61semidirect
387. D4⋊C8C2×D61semidirect
388. D4⋊C8C2×D61semidirect
389. C61#17438semidirect
487. #41C8×D61semidirect

Maximal subgroups

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

subgroupindex
C4×#145198232
#214549272
C8×#117582222
#214442092
#214442082
#214442062
#214442052
#214442002
C2×#168394912
D4⋊C8×D612
C61×#14762
#1743861