Finite Group Databasebeta

← #29689783

Subgroups — #29689783

Order 15616.

1086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840386C211yesmaximal, characteristic
2C2×#16839821C211yesmaximal, characteristic, complemented
3#21448440C211yesmaximal, characteristic, complemented
4#21446793C211yesmaximal, characteristic, complemented
5#21446633C211yesmaximal, characteristic, complemented
6#21446630C211yesmaximal, characteristic, complemented
7#21446140C211yesmaximal, characteristic
8#21446135C211yesmaximal, characteristic
9#21446130C211yesmaximal, characteristic, complemented
10#21446125C211yesmaximal, characteristic, complemented
11#21445833C211yesmaximal, characteristic, complemented
12#21445828C211yesmaximal, characteristic, complemented
13#21445823C211yesmaximal, characteristic, complemented
14#21445818C211yesmaximal, characteristic, complemented
15C61×#1990C211yesmaximal, characteristic, complemented
16#16840386—24no—
17#16840386C418yescomplemented
18C2×#14519772—21no—
19C2×#14519766—21no—
20C2×#14519765C2211yescharacteristic
21C2×#14519762—21no—
22C2×#14519757C2211yescharacteristic
23C2×#14519753—21no—
24C2×#14519752C2211yescharacteristic
25C2×#14519742C2211yescharacteristic
26C2×#14519739C2211yescharacteristic
27C2×#14519735C2211yescharacteristic
28C2×#14519734C2211yescharacteristic
29C2×C4⋊C4×D61C2211yescharacteristic
30#16839821—24no—
31C2×#14519706C2211yescharacteristic
32C2×#14519706C2211yescharacteristic
33C2×#14519702C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519700C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519699C2211yescharacteristic
38C2×#14519699C2211yescharacteristic
39C2×#14519697C2211yescharacteristic
40C2×#14519697C2211yescharacteristic
41C2×#14519689C2211yescharacteristic
42C2×#14519689C2211yescharacteristic
43C2×#14519688C2211yescharacteristic
44#16839657—21no—
45#16839657—21no—
46#16839633—21no—
47#16839633—21no—
48#16839631C2211yescharacteristic
49#16839628C2211yescharacteristic
50#16839627C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×C4⋊Q8×C61C2211yescharacteristic
56C2×C4×C8×C61C2211yescharacteristic
57C61×#384C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×D244—21no—
64C22×D244C2311yescharacteristic
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70#14519772—28no—
71#14519766—28no—
72#14519765—22no—
73#14519765C2×C414yescomplemented
74#14519762—28no—
75#14519757—22no—
76#14519757C2×C414yes—
77#14519753—28no—
78#14519752—22no—
79#14519752C2×C414yes—
80#14519742—22no—
81#14519742C2×C414yescomplemented
82#14519739—22no—
83#14519739C2×C414yescomplemented
84#14519735—41no—
85#14519735—41no—
86#14519734C2×C414yes—
87#14519734D414yes—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196D411yescharacteristic
96C2×#11758196D411yescharacteristic
97C4⋊C4×D61—41no—
98C4⋊C4×D61—41no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×#11758198D411yescharacteristic
106C2×#11758198D411yescharacteristic
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110#14519706—22no—
111#14519706—22no—
112#14519702—41no—
113#14519702—41no—
114#14519700—41no—
115#14519700—41no—
116#14519699—41no—
117#14519699—41no—
118#14519697—41no—
119#14519697—41no—
120#14519689—22no—
121#14519689—22no—
122#14519688—22no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127C22×Q8×C61—21no—
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C4⋊Q8×C61—22no—
131C4⋊Q8×C61C2×C414yescomplemented
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61—21no—
134C2×C4⋊C4×C61—21no—
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C4⋊C4×C61C2311yescharacteristic
138C2×C4⋊C4×C61C2311yescharacteristic
139C2×C42×C61C2311yescharacteristic
140C4×C8×C61—22no—
141C23×D61—21no—
142C23×D61C2×D411yescharacteristic
143C2×Q8×C61—24no—
144C2×Q8×C61—81no—
145C2×Q8×C61—81no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2411yescharacteristic
153C22×Dic61—21no—
154C22×Dic61—21no—
155C22×Dic61—21no—
156C22×Dic61C2×D411yescharacteristic
157C22×Dic61C2×D411yescharacteristic
158C22×Dic61C2×D411yescharacteristic
159C2×D244—21no—
160C2×D244—21no—
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—24no—
165C2×D244—81no—
166C2×D244—81no—
167C2×D244C22×C412yes—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—24no—
173C2×C4×D61—42no—
174C2×C4×D61—81no—
175C2×C4×D61—81no—
176C2×C4×D61—81no—
177C2×C4×D61—81no—
178C2×C4×D61C22×C412yes—
179C2×C4×D61C2×D412yes—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122C22×C412yes—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C4⋊C4×C61—24no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—81no—
200C4⋊C4×C61—81no—
201C4⋊C4×C61C22×C412yes—
202C4⋊C4×C61C22×C412yes—
203C42×C61C22×C412yes—
204C42×C61C2×D412yes—
205#11758198—24no—
206#11758198—24no—
207#11758198—24no—
208#11758198—24no—
209#11758198—24no—
210#11758198—42no—
211#11758198C22⋊C414yes—
212#11758198C22⋊C414yes—
213C4⋊Dic61—24no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218#11758196—24no—
219#11758196—42no—
220#11758196—81no—
221#11758196—81no—
222#11758196C22⋊C414yes—
223#11758196C22⋊C414yes—
224C4×Dic61—24no—
225C4×Dic61—42no—
226C4×Dic61C22×C412yes—
227C4×Dic61C2×D412yes—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C23×C61C22×D411yescharacteristic
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—22no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61C2×C22⋊C412yes—
249Q8×C61—84no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61C2×C22⋊C412yes—
267C2×C4×C61C2×C22⋊C412yes—
268C2×C4×C61C23×C411yescharacteristic
269C2×C4×C61C22×D411yescharacteristic
270C2×C4×C61H(5,𝔽2)11yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C612−1+411yescharacteristic
273C2×C4×C612−1+411yescharacteristic
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61C2×C22⋊C412yes—
290C2×Dic61C2×C22⋊C412yes—
291C2×Dic61C2×C22⋊C412yes—
292D244—22no—
293D244—22no—
294D244—41no—
295D244—41no—
296D244—84no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—84no—
302C4×D61—84no—
303Dic122—22no—
304Dic122—22no—
305Dic122—41no—
306Dic122—41no—
307C8×C61—41no—
308C8×C61—41no—
309#92418—41no—
310#92418—41no—
311#21871—611nomaximal, Sylow
312C22×C61C22×C22⋊C411yescharacteristic
313C22×C61#53511yescharacteristic
314C22×C61#53611yescharacteristic
315C22×C61#57611yescharacteristic
316C22×C61#57711yescharacteristic
317C22×C61#57711yescharacteristic
318C22×C61#57811yescharacteristic
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—41no—
323C2×D61—41no—
324C2×D61—41no—
325C2×D61—41no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—81no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C4×C61—22no—
334C4×C61—22no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61—81no—
338C4×C61—81no—
339C4×C61#52011yescharacteristic
340C4×C61#52011yescharacteristic
341C4×C61#53711yescharacteristic
342C4×C61#53711yescharacteristic
343Dic61—22no—
344Dic61—22no—
345Dic61—22no—
346Dic61—42no—
347Dic61—81no—
348Dic61—81no—
349C2×#542—611no—
350C2×#433—611no—
351#2317—611no—
352#1993—611no—
353#1990D6111yescharacteristic, complemented
354#1959—611no—
355#1958—611no—
356#1875—611no—
357#1874—611no—
358#1873—611no—
359#1872—611no—
360#1805—611no—
361#1804—611no—
362#1803—611no—
363#1802—611no—
364C2×C61#231111yescharacteristic
365C2×C61#289711yescharacteristic
366C2×C61#289811yescharacteristic
367C2×C61#322411yescharacteristic
368C2×C61#322511yescharacteristic
369C2×C61#324311yescharacteristic
370C2×C61#324411yescharacteristic
371D61—42no—
372D61—82no—
373#542—618no—
374#542—1224no—
375C2×C4⋊Q8C2×D6111yescharacteristic
376C2×#126—1221no—
377C2×#124—611no—
378C2×#124—1221no—
379C2×#123—1221no—
380C2×C22⋊Q8—611no—
381C2×C22⋊Q8—1221no—
382C2×#121—611no—
383C2×C4×Q8—611no—
384C2×C4×D4—611no—
385C2×#117—611no—
386C2×#117—611no—
387C22×C4⋊C4—611no—
388#433—1224no—
389C2×C4⋊C8—611no—
390C2×C4⋊C8—611no—
391C2×#103—611no—
392C2×#103—611no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×C22⋊C8—611no—
400C2×C22⋊C8—611no—
401C2×#97—611no—
402C2×C4×C8C2×D6111yescharacteristic
403#389—1221no—
404#389—1221no—
405#385—1221no—
406#385—1221no—
407#384—611no—
408#384C2×D6111yescharacteristic
409#382—611no—
410#382—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417#340C2×D6111yescharacteristic
418#340C2×D6111yescharacteristic
419C61#2187111yescharacteristic, complemented, Sylow
420C22×Q8—21no—
421C22×Q8—611no—
422C22×D4—611no—
423C22×D4—1221no—
424C23×C4—611no—
425C23×C4—1221no—
426C23×C4—1221no—
427C22×C8—611no—
428C22×C8—611no—
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C4⋊Q8—22no—
432C4⋊Q8C4×D6114yescomplemented
433#126—1228no—
434#124—614no—
435#124—1228no—
436#124—1222no—
437#123—1228no—
438C22⋊Q8—614no—
439C22⋊Q8—1222no—
440C22⋊Q8—1228no—
441#121—614no—
442#121—1222no—
443C4×Q8—614no—
444C4×Q8—1222no—
445C4×D4—614no—
446C4×D4—1222no—
447#117—614no—
448#117—614no—
449#117—2441no—
450#117—2441no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—2441no—
464C2×C4⋊C4—2441no—
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C22⋊C4—611no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42—611no—
478C2×C42—1221no—
479C2×C42—1221no—
480C2×C42C22×D6111yescharacteristic
481C4⋊C8—1222no—
482C4⋊C8—1222no—
483#103—2441no—
484#103—2441no—
485#103—2441no—
486#103—2441no—
487#102—2441no—
488#102—2441no—
489#102—2441no—
490#102—2441no—
491C22⋊C8—1222no—
492C22⋊C8—1222no—
493#97—1222no—
494C4×C8—22no—
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499C24—611no—
500C24—1221no—
501C2×Q8—24no—
502C2×Q8—81no—
503C2×Q8—81no—
504C2×Q8—612no—
505C2×Q8—1221no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×Q8—1221no—
509C2×Q8—1221no—
510C2×D4—612no—
511C2×D4—1224no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—4881no—
518C2×D4—4881no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—1224no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—4881no—
537C22×C4—4881no—
538C22×C4—4881no—
539C22×C4—4881no—
540C22×C4—2442no—
541C22×C4D4×D6111yescharacteristic
542C22×C4D4×D6111yescharacteristic
543C22×C4C23×D6111yescharacteristic
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—24no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—81no—
564C4⋊C4—81no—
565C4⋊C4—614no—
566C4⋊C4—614no—
567C4⋊C4—1224no—
568C4⋊C4—1224no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—4881no—
574C4⋊C4—4881no—
575C4⋊C4—2442no—
576C4⋊C4C2×C4×D6112yes—
577C4⋊C4C2×C4×D6112yes—
578C22⋊C4—614no—
579C22⋊C4—614no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C22⋊C4—1224no—
583C22⋊C4—1224no—
584C22⋊C4—1224no—
585C22⋊C4—2442no—
586C42—612no—
587C42—612no—
588C42—1224no—
589C42—2442no—
590C42C2×C4×D6112yes—
591C42D4×D6112yes—
592C23—612no—
593C23—1221no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23—1222no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23—2441no—
606C23C2×D4×D6111yescharacteristic
607Q8—84no—
608Q8—1222no—
609Q8—1222no—
610Q8—2441no—
611Q8—2441no—
612D4—1222no—
613D4—1222no—
614D4—4884no—
615D4—2441no—
616D4—2441no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—612no—
634C2×C4—612no—
635C2×C4—612no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—4884no—
648C2×C4—4884no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4C22⋊C4×D6112yes—
658C2×C4C22⋊C4×D6112yes—
659C2×C4C22×C4×D6111yescharacteristic
660C2×C4C2×D4×D6111yescharacteristic
661C2×C4#1451982311yescharacteristic
662C2×C4#1451982311yescharacteristic
663C2×C4#1451982511yescharacteristic
664C2×C4#1451982511yescharacteristic
665C8—41no—
666C8—41no—
667C8—2441no—
668C8—2441no—
669C22—1222no—
670C22—1222no—
671C22—1222no—
672C22—4881no—
673C22—4881no—
674C22—4881no—
675C22—4881no—
676C22—2442no—
677C22—2442no—
678C22—2442no—
679C22—2441no—
680C22—2441no—
681C22—2441no—
682C22—2441no—
683C22C2×C22⋊C4×D6111yescharacteristic
684C22#1684033011yescharacteristic
685C22#1684033711yescharacteristic
686C22#1684056311yescharacteristic
687C22#1684056811yescharacteristic
688C22#1684056811yescharacteristic
689C22#1684057511yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—81no—
695C4—81no—
696C4—1222no—
697C4—1222no—
698C4—1222no—
699C4—4881no—
700C4—4881no—
701C4—2442no—
702C4#1684024411yescharacteristic
703C4#1684024411yescharacteristic
704C4#1684034211yescharacteristic
705C4#1684034211yescharacteristic
706C2—4882no—
707C2—2442no—
708C2#2144841011yescharacteristic
709C2#2145434011yescharacteristic
710C2#2145434711yescharacteristic
711C2#2145691611yescharacteristic
712C2#2145693111yescharacteristic
713C2#2145710511yescharacteristic
714C2#2145712011yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1990C2
socleC23×C61C22×D4
prime radicalC2×#14519752C22
cosocleC22×C4×C61C24
hypercenter#1990D61
hypocenterC61#21871
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1990

Complements

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

NH ≅ G/Ntype
2. C2×#16839821C2semidirect
3. #21448440C2semidirect
4. #21446793C2semidirect
5. #21446633C2semidirect
6. #21446630C2semidirect
9. #21446130C2semidirect
10. #21446125C2semidirect
11. #21445833C2semidirect
12. #21445828C2semidirect
13. #21445823C2semidirect
14. #21445818C2semidirect
15. C61×#1990C2semidirect
17. #16840386C4semidirect
73. #14519765C2×C4semidirect
81. #14519742C2×C4semidirect
83. #14519739C2×C4semidirect
131. C4⋊Q8×C61C2×C4semidirect
353. #1990D61semidirect
419. C61#21871semidirect
432. C4⋊Q8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403862
C2×#168398212
#214484402
#214467932
#214466332
#214466302
#214461402
#214461352
#214461302
#214461252
#214458332
#214458282
#214458232
#214458182
C61×#19902
#2187161