Finite Group Databasebeta

← #30622208

Subgroups — #30622208

Order 15616.

892 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840805C211yesmaximal, characteristic, complemented
2C2×#16840804C211yesmaximal, characteristic, complemented
3#21462564C211yesmaximal, characteristic, complemented
4#21462466C211yesmaximal, characteristic, complemented
5#21461954C211yesmaximal, characteristic, complemented
6#21461935C211yesmaximal, characteristic, complemented
7#21461913C211yesmaximal, characteristic, complemented
8#21461912C211yesmaximal, characteristic, complemented
9#21461810C211yesmaximal, characteristic, complemented
10#21461808C211yesmaximal, characteristic, complemented
11#21461788C211yesmaximal, characteristic, complemented
12#21461787C211yesmaximal, characteristic, complemented
13C4⋊C8×#6923C211yesmaximal, characteristic, complemented
14C4×#14519841C211yesmaximal, characteristic, complemented
15#21455271C211yesmaximal, characteristic
16C2×#14519865C2211yescharacteristic
17C2×#14519864C2211yescharacteristic
18C2×#14519864C2211yescharacteristic
19C2×#14519864C2211yescharacteristic
20#16840805—24no—
21#16840804—24no—
22#16840795—21no—
23#16840794—21no—
24#16840791—21no—
25#16840789—21no—
26C2×#14519848C2211yescharacteristic
27C2×#14519847C2211yescharacteristic
28#16840769C2211yescharacteristic
29#16840769C2211yescharacteristic
30#16840768—21no—
31#16840768—21no—
32#16840767C2211yescharacteristic
33#16840765—21no—
34C2×#14519844—21no—
35D61⋊(C4⋊C8)C2211yescharacteristic
36C2×#14519842C2211yescharacteristic
37C2×#14519842C2211yescharacteristic
38C2×#14519841C2211yescharacteristic
39C2×#14519841C2211yescharacteristic
40C2×#14519841C2211yescharacteristic
41C2×#14519841C2211yescharacteristic
42#16840737C2211yescharacteristic
43#16840736C2211yescharacteristic
44C4×#11758213C2211yescharacteristic
45C2×C8×#6923C2211yescharacteristic
46C2×C8×#6923C2211yescharacteristic
47C42×#6923C2211yescharacteristic
48#16840638C2211yescharacteristic
49#16840638C2211yescharacteristic
50#16840632C2211yescharacteristic
51#16840632C2211yescharacteristic
52(C2×#6923)⋊C8C2211yescharacteristic
53(C2×#6923)⋊C8C2211yescharacteristic
54C2×#14519798C2211yescharacteristic
55C2×#14519796C2211yescharacteristic
56#16840311C2211yescharacteristic
57C4×#11758224C2211yescharacteristic
58#16839985C411yescharacteristic, complemented
59#16839981C411yescharacteristic, complemented
60#16839977C411yescharacteristic, complemented
61#16839971C411yescharacteristic, complemented
62#16839965C411yescharacteristic, complemented
63#16839961C411yescharacteristic, complemented
64#16839955C411yescharacteristic, complemented
65C4⋊C8×D61C2211yescharacteristic
66#16839757C2211yescharacteristic
67#16839755C2211yescharacteristic
68C61×#463C411yescharacteristic, complemented
69#14519865—22no—
70#14519865—41no—
71#14519864—22no—
72#14519864—22no—
73#14519864—22no—
74#14519864—41no—
75#14519864—41no—
76#14519864—41no—
77C2×#11758213—21no—
78C2×#11758213C2311yescharacteristic
79C2×#11758213C2311yescharacteristic
80C2×#11758213C2311yescharacteristic
81C2×#11758213C2311yescharacteristic
82C2×#11758217—21no—
83C2×#11758217—21no—
84C2×#11758217—21no—
85C2×D61⋊C8—21no—
86C2×D61⋊C8C2311yescharacteristic
87C2×D61⋊C8C2311yescharacteristic
88C22×#92420—21no—
89C22×#92420—21no—
90C22×#92420—21no—
91C2×C4×#6923—21no—
92C2×C4×#6923—21no—
93C2×C4×#6923C2311yescharacteristic
94C2×C4×#6923C2311yescharacteristic
95#14519848—22no—
96#14519847—22no—
97#14519844—21no—
98#14519844—21no—
99#14519844—21no—
100#14519844—21no—
101#14519844D411yescharacteristic
102#14519844D411yescharacteristic
103C4⋊#92420—21no—
104C4⋊#92420—21no—
105C4⋊#92420D411yescharacteristic
106C4⋊#92420D411yescharacteristic
107#14519842—22no—
108#14519842—41no—
109#14519841—22no—
110#14519841—22no—
111#14519841—41no—
112#14519841D414yescomplemented
113#14519834—21no—
114#14519834—21no—
115C22⋊#92420—21no—
116C22⋊#92420—21no—
117#14519832—21no—
118C4×#92420—21no—
119C8×#6923—22no—
120C8×#6923—22no—
121C2×#11758226C2311yescharacteristic
122C2×#11758224C2311yescharacteristic
123C2×#11758224C2311yescharacteristic
124#14519798—22no—
125#14519798—22no—
126#14519796—22no—
127#14519796—22no—
128C2×Dic244C2×C411yescharacteristic
129C2×#11758202C2×C411yescharacteristic
130C2×#11758190C2×C411yescharacteristic
131C2×#11758200C2×C411yescharacteristic
132C2×#11758200C2×C411yescharacteristic
133C2×#11758199C2×C411yescharacteristic
134C2×C8×D61C2311yescharacteristic
135C2×C8×D61C2311yescharacteristic
136#14519775C2×C411yescharacteristic
137#14519773C2×C411yescharacteristic
138#14519765C2×C411yescharacteristic
139#14519750—21no—
140#14519750—21no—
141C4×Dic122C2×C411yescharacteristic
142#14519742C2×C411yescharacteristic
143D4×Dic61C2×C411yescharacteristic
144C4×C22⋊D61—21no—
145#14519737—21no—
146#14519737—21no—
147#14519737—21no—
148#14519735C2311yescharacteristic
149#14519733—21no—
150C2×C4×Dic61—21no—
151C42×D61C2311yescharacteristic
152C4⋊#92418C2×C411yescharacteristic
153#14519706C2×C411yescharacteristic
154#14519706C2×C411yescharacteristic
155#14519702C2×C411yescharacteristic
156#14519701C2×C411yescharacteristic
157#14519700C2×C411yescharacteristic
158#14519699C2×C411yescharacteristic
159#14519698C2×C411yescharacteristic
160#14519697C2×C411yescharacteristic
161C2×SD16×C61C2×C411yescharacteristic
162C2×D8×C61C2×C411yescharacteristic
163#124×C61C2×C411yescharacteristic
164C4×D4×C61C2×C411yescharacteristic
165C4⋊C8×C61C2×C411yescharacteristic
166#103×C61C2×C411yescharacteristic
167#102×C61C2×C411yescharacteristic
168C22×#6923—21no—
169C22×#6923—21no—
170C2×Q8×C61C22×C411yescharacteristic
171C2×D4×C61C22×C411yescharacteristic
172C2×D4×C61C22×C411yescharacteristic
173C22×C4×C61—21no—
174C2×C22⋊D61—21no—
175C2×C22⋊D61—21no—
176C2×C22⋊D61—21no—
177C2×C22⋊D61—21no—
178C22×Dic61—21no—
179C22×Dic61—21no—
180C22×Dic61—21no—
181#11758226—21no—
182#11758226—21no—
183#11758226—21no—
184#11758226—21no—
185#11758224—21no—
186#11758224—21no—
187#11758224—21no—
188#11758224—21no—
189#11758224—21no—
190#11758224—21no—
191#11758224C2×D412yes—
192#11758224#4112yes—
193C2×D244—21no—
194C2×D244C22×C411yescharacteristic
195C2×C4×D61—21no—
196C2×C4×D61#4111yescharacteristic
197C2×C4×D61#4111yescharacteristic
198C2×C4×D61C2411yescharacteristic
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201#11758217—42no—
202#11758217—42no—
203#11758217—42no—
204C2×#92420—21no—
205C2×#92420—21no—
206C2×#92420—21no—
207C2×#92420—21no—
208C2×#92420—42no—
209C2×#92420—42no—
210C2×#92420—42no—
211C2×#92420C2×D411yescharacteristic
212C2×#92420C2×D411yescharacteristic
213C2×#92420C2×D411yescharacteristic
214C2×#92420C2×D411yescharacteristic
215C4×#6923—24no—
216C4×#6923—21no—
217C4×#6923—21no—
218C4×#6923—21no—
219C4×#6923—42no—
220C4×#6923C2×D412yes—
221#11758213—21no—
222#11758213—21no—
223#11758213—21no—
224#11758213—21no—
225#11758213—21no—
226#11758213—21no—
227#11758213—21no—
228#11758213—42no—
229#11758213C2×D412yes—
230D61⋊C8—21no—
231D61⋊C8—21no—
232D61⋊C8—21no—
233D61⋊C8—21no—
234D61⋊C8—42no—
235SD16×C61—22no—
236D8×C61—22no—
237C2×C8×C61C22×C411yescharacteristic
238C2×C8×C61C22×C411yescharacteristic
239C4⋊C4×C61C22×C411yescharacteristic
240C22⋊C4×C61—21no—
241C22⋊C4×C61—21no—
242C22⋊C4×C61—21no—
243C42×C61C22×C411yescharacteristic
244C22⋊Dic61—21no—
245#11758202—22no—
246#11758200—22no—
247#11758200—22no—
248#11758199—22no—
249#11758198—21no—
250#11758198—21no—
251#11758198—21no—
252C4⋊Dic61C22×C411yescharacteristic
253#11758196—21no—
254#11758196—21no—
255#11758196—21no—
256#11758196—21no—
257C4×Dic61—21no—
258C4×Dic61—21no—
259C4×Dic61—21no—
260C4×Dic61C22×C411yescharacteristic
261C4×Dic61C2×D411yescharacteristic
262C4×Dic61C2×D411yescharacteristic
263C2×#92418C22×C411yescharacteristic
264C2×#92418C22×C411yescharacteristic
265Dic244—22no—
266#11758190—22no—
267C8×D61—21no—
268C8×D61—21no—
269C8×D61—21no—
270C8×D61—21no—
271C23×C61—21no—
272C23×C61—21no—
273C22×D61—21no—
274C22×D61C2×#4111yescharacteristic
275C2×#6923—22no—
276C2×#6923—22no—
277C2×#6923—22no—
278C2×#6923—22no—
279C2×#6923—41no—
280C2×#6923—41no—
281Q8×C61—21no—
282Q8×C61—21no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61C4×D412yes—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—81no—
290C2×C4×C61C4×D411yescharacteristic
291C2×C4×C61C4×D411yescharacteristic
292C2×C4×C61C23×C411yescharacteristic
293C22⋊D61—22no—
294C22⋊D61—22no—
295C22⋊D61—41no—
296C22⋊D61—41no—
297C22⋊D61—42no—
298C22⋊D61—81no—
299C2×Dic61—21no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—21no—
303C2×Dic61—21no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—42no—
307C2×Dic61C4×D411yescharacteristic
308C2×Dic61C4×D411yescharacteristic
309C2×Dic61C22×D411yescharacteristic
310D244—21no—
311D244—21no—
312D244—41no—
313D244—41no—
314C4×D61—22no—
315C4×D61—41no—
316C4×D61—41no—
317C4×D61—41no—
318C4×D61C22×D411yescharacteristic
319C4×D61C2×#4111yescharacteristic
320C4×D61H(5,𝔽2)11yescharacteristic
321C4×D612−1+411yescharacteristic
322Dic122—21no—
323Dic122—21no—
324Dic122—21no—
325Dic122C4×D412yes—
326#92420—21no—
327#92420—21no—
328#92420—21no—
329#92420—21no—
330#92420—22no—
331#92420—41no—
332#92420—41no—
333#92420—41no—
334C8×C61—21no—
335C8×C61—21no—
336#92418—21no—
337#92418—21no—
338#23015—611nomaximal, Sylow
339C22×C61—22no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61C2×C4×D411yescharacteristic
346C2×D61—21no—
347C2×D61—21no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61#54711yescharacteristic
352C2×D61#55311yescharacteristic
353#6923—24no—
354#6923—42no—
355C4×C61—21no—
356C4×C61—21no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61C2×C4×D411yescharacteristic
360C4×C61#52011yescharacteristic
361Dic61—22no—
362Dic61—21no—
363Dic61—41no—
364Dic61—41no—
365Dic61#44312yescomplemented
366Dic61D4211yescharacteristic
367Dic61#54811yescharacteristic
368#3035—611no—
369C2×#443—611no—
370C2×#443—611no—
371#2935—611no—
372#2906—611no—
373#1962—611no—
374#1950—611no—
375#1937—611no—
376#1937—611no—
377#1876—611no—
378#1876—611no—
379#1866—611no—
380#1866—611no—
381C4×C4⋊C8—611no—
382C4×#104—611no—
383C2×C61—42no—
384C2×C61—81no—
385C2×C61#236111yescharacteristic
386C2×C61C2×#44311yescharacteristic
387C2×C61#295611yescharacteristic
388D61—21no—
389D61—21no—
390D61—81no—
391C2×#135—611no—
392C2×#135—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131—611no—
396C2×#131—611no—
397#532—611no—
398C4×#41—611no—
399#464—611no—
400#464—611no—
401#463—611no—
402#463#692311yescharacteristic, complemented
403#462—611no—
404#461—611no—
405#460—611no—
406#459—611no—
407#443—1224no—
408#443—1224no—
409#436—1221no—
410#435—1221no—
411#435—1221no—
412C8×D4—1221no—
413C2×#108—611no—
414C2×#108—611no—
415#424—611no—
416#424—611no—
417#424—1221no—
418#424—1221no—
419#423—611no—
420#423—1221no—
421C2×C4⋊C8—611no—
422C2×C4⋊C8—611no—
423C2×C4⋊C8—1221no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428C2×#104—611no—
429C2×#104—611no—
430#416—611no—
431#416—611no—
432#408—611no—
433#408—611no—
434C4×M16—611no—
435C2×C4×C8—611no—
436C2×C4×C8—611no—
437C43—611no—
438#341—611no—
439#341—611no—
440#339—611no—
441#339—611no—
442#336—611no—
443#336—611no—
444C61#2301511yescharacteristic, complemented, Sylow
445C2×#41—611no—
446C2×#41—611no—
447C2×#41—611no—
448#135—1222no—
449#135—1222no—
450#135—1222no—
451#135—1222no—
452C2×Q16—611no—
453C2×Q16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×SD16—611no—
457C2×SD16C2×#692311yescharacteristic
458C2×D8—611no—
459C2×D8C2×#692311yescharacteristic
460#131—1222no—
461#131—1222no—
462#131—1222no—
463#131—1222no—
464#131—2441no—
465#131—2441no—
466#131—2441no—
467#131—2441no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16—1221no—
475C2×M16—1221no—
476C22×C8—611no—
477C22×C8—611no—
478C22×C8—611no—
479C22×C8—611no—
480C22×C8—1221no—
481C22×C8—1221no—
482C22×C8—1221no—
483C22×C8—1221no—
484C4⋊Q8—611no—
485#127—611no—
486#124—611no—
487#124C2×#692311yescharacteristic
488#121—1221no—
489#121—1221no—
490C4×Q8—611no—
491C4×Q8—611no—
492C4×D4—611no—
493C4×D4—1221no—
494C4×D4—1221no—
495C4×D4—1221no—
496C4×D4—1221no—
497C4×D4C2×#692311yescharacteristic
498#117—611no—
499#117—1221no—
500C2×C42—611no—
501C2×C42—611no—
502C2×C42—611no—
503C2×C42—1221no—
504C2×C42—1221no—
505C2×C42—1221no—
506#108—1222no—
507#108—1222no—
508C4⋊C8—611no—
509C4⋊C8—611no—
510C4⋊C8—611no—
511C4⋊C8—611no—
512C4⋊C8—611no—
513C4⋊C8—611no—
514C4⋊C8—611no—
515C4⋊C8—1221no—
516C4⋊C8—1221no—
517C4⋊C8—1221no—
518C4⋊C8—1221no—
519C4⋊C8—1221no—
520C4⋊C8—1221no—
521C4⋊C8C2×#692311yescharacteristic
522#104—614no—
523#104—1222no—
524#104—1222no—
525#104—1222no—
526#104—2441no—
527#104—2441no—
528#103—611no—
529#103—611no—
530#103—611no—
531#103C2×#692311yescharacteristic
532#102—611no—
533#102—611no—
534#102—611no—
535#102C2×#692311yescharacteristic
536C22⋊C8—1221no—
537C22⋊C8—1221no—
538C22⋊C8—1221no—
539C22⋊C8—1221no—
540#97—1221no—
541C4×C8—1222no—
542C4×C8—1222no—
543C4×C8—1221no—
544#41—612no—
545#41—612no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41—1221no—
555#41—1221no—
556C2×Q8—611no—
557C2×Q8—611no—
558C2×Q8C22×#692311yescharacteristic
559C2×D4—611no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4C22×#692311yescharacteristic
566C2×D4C22×#692311yescharacteristic
567C22×C4—21no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—1221no—
575C22×C4—1221no—
576C22×C4—1221no—
577Q16—1222no—
578Q16—1222no—
579SD16—22no—
580SD16—1222no—
581SD16—1222no—
582SD16—1222no—
583D8—22no—
584D8—1222no—
585M16—612no—
586M16—1221no—
587M16—1221no—
588M16—1221no—
589M16—1221no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—2442no—
594M16—2442no—
595M16—2442no—
596M16—2442no—
597C2×C8—611no—
598C2×C8—611no—
599C2×C8—611no—
600C2×C8—611no—
601C2×C8—611no—
602C2×C8—611no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—1221no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—2442no—
616C2×C8—2442no—
617C2×C8—2442no—
618C2×C8—2442no—
619C2×C8C22×#692311yescharacteristic
620C2×C8C22×#692311yescharacteristic
621C4⋊C4—611no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4C22×#692311yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C42—611no—
635C42—611no—
636C42—611no—
637C42—612no—
638C42—1221no—
639C42—1221no—
640C42—1221no—
641C42—1221no—
642C42—1221no—
643C42—1224no—
644C42—1221no—
645C42—2442no—
646C42C22×#692311yescharacteristic
647C23—21no—
648C23—21no—
649C23—611no—
650C23—1221no—
651Q8—21no—
652Q8—21no—
653Q8—612no—
654Q8—1221no—
655Q8—1221no—
656Q8—1221no—
657D4—21no—
658D4—21no—
659D4—21no—
660D4—1222no—
661D4—1222no—
662D4—1221no—
663D4—1221no—
664D4—4881no—
665D4—2441no—
666D4—2441no—
667D4—2442no—
668D4—2441no—
669D4—2441no—
670D4D4×#692312yes—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—81no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—1222no—
682C2×C4—1222no—
683C2×C4—1222no—
684C2×C4—1222no—
685C2×C4—1222no—
686C2×C4—1222no—
687C2×C4—1221no—
688C2×C4—1222no—
689C2×C4—1221no—
690C2×C4—1221no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2442no—
696C2×C4—2441no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4D4×#692311yescharacteristic
700C2×C4D4×#692311yescharacteristic
701C2×C4C23×#692311yescharacteristic
702C8—21no—
703C8—21no—
704C8—1221no—
705C8—1221no—
706C8—1221no—
707C8—1221no—
708C8—1222no—
709C8—1221no—
710C8—1221no—
711C8—2441no—
712C8—2441no—
713C8—2441no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—611no—
721C22—611no—
722C22—1221no—
723C22—1221no—
724C22—2441no—
725C22—2441no—
726C22—2441no—
727C22C2×D4×#692311yescharacteristic
728C4—21no—
729C4—21no—
730C4—41no—
731C4—41no—
732C4—612no—
733C4—611no—
734C4—611no—
735C4—1224no—
736C4—1221no—
737C4—1222no—
738C4—2442no—
739C4—2441no—
740C4—2441no—
741C4C2×D4×#692311yescharacteristic
742C4#1684083111yescharacteristic
743C2—42no—
744C2—81no—
745C2—1221no—
746C2—1221no—
747C2—4881no—
748C2#2146234411yescharacteristic
749C2D61⋊#44311yescharacteristic
750C2#2146259311yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#463C4
socleC22×C61C2×C4×D4
prime radical#21455271C2
cosocleC2×C4×D61C24
hypercenter#463#6923
hypocenterC61#23015
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C42 ◁ #463

Complements

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

NH ≅ G/Ntype
1. C2×#16840805C2semidirect
2. C2×#16840804C2semidirect
3. #21462564C2semidirect
4. #21462466C2semidirect
5. #21461954C2semidirect
6. #21461935C2semidirect
7. #21461913C2semidirect
8. #21461912C2semidirect
9. #21461810C2semidirect
10. #21461808C2semidirect
11. #21461788C2semidirect
12. #21461787C2semidirect
13. C4⋊C8×#6923C2semidirect
14. C4×#14519841C2semidirect
58. #16839985C4semidirect
59. #16839981C4semidirect
60. #16839977C4semidirect
61. #16839971C4semidirect
62. #16839965C4semidirect
63. #16839961C4semidirect
64. #16839955C4semidirect
68. C61×#463C4semidirect
112. #14519841D4semidirect
365. Dic61#443semidirect
402. #463#6923semidirect
444. C61#23015semidirect

Maximal subgroups

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

subgroupindex
C2×#168408052
C2×#168408042
#214625642
#214624662
#214619542
#214619352
#214619132
#214619122
#214618102
#214618082
#214617882
#214617872
C4⋊C8×#69232
C4×#145198412
#214552712
#2301561