Finite Group Databasebeta

← #29683715

Subgroups — #29683715

Order 15616.

1526 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840337C211yesmaximal, characteristic
2C2×#16839762C211yesmaximal, characteristic
3C2×#16839769C211yesmaximal, characteristic, complemented
4C2×#16839757C211yesmaximal, characteristic
5C2×#103×D61C211yesmaximal, characteristic, complemented
6C2×#16839719C211yesmaximal, characteristic, complemented
7#21448444C211yesmaximal, characteristic, complemented
8#21446637C211yesmaximal, characteristic, complemented
9#21446635C211yesmaximal, characteristic, complemented
10#21446632C211yesmaximal, characteristic, complemented
11#21446628C211yesmaximal, characteristic, complemented
12#21446627C211yesmaximal, characteristic, complemented
13#21446622C211yesmaximal, characteristic, complemented
14#21446619C211yesmaximal, characteristic, complemented
15C61×#1960C211yesmaximal, characteristic, complemented
16C22×#11758226C2211yescharacteristic
17C22×Q8×D61C2211yescharacteristic
18C22×#11758189C2211yescharacteristic
19C22×C8×D61C2211yescharacteristic
20#16840337—24no—
21#16840337C418yescomplemented
22C2×#14519775C2211yescharacteristic
23C2×#14519766C2211yescharacteristic
24C2×#14519765C2211yescharacteristic
25C2×#14519762—22no—
26C2×#14519755—22no—
27C2×#14519735C2211yescharacteristic
28C2×#14519734C2211yescharacteristic
29C2×C4⋊C4×D61C2211yescharacteristic
30#16839769—24no—
31#16839762—24no—
32#16839757—24no—
33C2×#14519702C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519701C2211yescharacteristic
36C2×#14519701C2211yescharacteristic
37C2×#14519701C2211yescharacteristic
38C2×#14519701C2211yescharacteristic
39C2×#14519700C2211yescharacteristic
40C2×#14519700C2211yescharacteristic
41#103×D61—24no—
42C2×#14519699C2211yescharacteristic
43C2×#14519699C2211yescharacteristic
44C2×#14519697C2211yescharacteristic
45C2×#14519697C2211yescharacteristic
46#16839719—24no—
47C2×#14519687C2211yescharacteristic
48C2×C4×#92418C2211yescharacteristic
49C2×C8×Dic61C2211yescharacteristic
50#16839659—22no—
51#16839636—22no—
52#16839632C2211yescharacteristic
53#16839631C2211yescharacteristic
54#16839627C2211yescharacteristic
55C2×C4⋊Q8×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#97×C61C2211yescharacteristic
61C61×#382C2211yescharacteristic
62C2×#11758226—22no—
63C2×#11758226—22no—
64C2×#11758226—22no—
65C2×#11758226—22no—
66C2×#11758226—22no—
67C2×#11758226C2×C414yes—
68C22×Dic122—21no—
69C22×Dic122C2311yescharacteristic
70C2×Q8×D61—22no—
71C2×Q8×D61—22no—
72C2×Q8×D61—22no—
73C2×Q8×D61—22no—
74C2×Q8×D61—22no—
75C2×Q8×D61C2×C414yes—
76C22×D244—21no—
77C22×D244C2311yescharacteristic
78C22×C4×D61—21no—
79C22×C4×D61—21no—
80C22×C4×D61—21no—
81C22×C4×D61C2311yescharacteristic
82C2×#11758189—22no—
83C2×#11758189—22no—
84C2×#11758189D414yes—
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87C2×C8×D61—22no—
88C2×C8×D61—22no—
89C2×C8×D61D414yes—
90#14519775—22no—
91#14519775C2×C414yescomplemented
92#14519766—22no—
93#14519766C2×C414yescomplemented
94#14519765—22no—
95#14519765C2×C414yescomplemented
96#14519762—216no—
97#14519755—216no—
98#14519735—22no—
99#14519735—22no—
100#14519734C2×C414yes—
101#14519734D414yes—
102C2×C4⋊Dic61—22no—
103C2×C4⋊Dic61C2311yescharacteristic
104C2×C4⋊Dic61C2311yescharacteristic
105C2×#11758196—22no—
106C2×#11758196—21no—
107C2×#11758196—22no—
108C2×#11758196D412yes—
109C4⋊C4×D61—22no—
110C4⋊C4×D61—22no—
111C2×#11758198—22no—
112C2×#11758198—22no—
113C2×#11758198—21no—
114C2×#11758198D412yes—
115C2×C4×Dic61—21no—
116C2×C4×Dic61C2311yescharacteristic
117#14519702—22no—
118#14519702—22no—
119#14519701—22no—
120#14519701—22no—
121#14519701—22no—
122#14519701—22no—
123#14519700—22no—
124#14519700—22no—
125#14519699—22no—
126#14519699—22no—
127#14519697—22no—
128#14519697—22no—
129#14519687—22no—
130C4×#92418—22no—
131C8×Dic61—22no—
132#14519684—22no—
133C22×Q8×C61C2311yescharacteristic
134C22×Q8×C61C2311yescharacteristic
135C22×C8×C61C2311yescharacteristic
136C22×C8×C61C2311yescharacteristic
137C4⋊Q8×C61—22no—
138C4⋊Q8×C61C2×C414yescomplemented
139C2×C4⋊C4×C61—22no—
140C2×C4⋊C4×C61C2311yescharacteristic
141C2×C4⋊C4×C61C2311yescharacteristic
142C2×C42×C61C2311yescharacteristic
143#103×C61—22no—
144#103×C61—22no—
145#103×C61—22no—
146#103×C61—22no—
147#97×C61—22no—
148#95×C61—22no—
149C23×D61—21no—
150C23×D61C2×D411yescharacteristic
151C2×Q8×C61—21no—
152C2×Q8×C61—21no—
153C2×Q8×C61—21no—
154C2×Q8×C61—21no—
155C2×Q8×C61—21no—
156C2×Q8×C61—21no—
157C2×Q8×C61—21no—
158C2×Q8×C61—21no—
159C2×Q8×C61—21no—
160C2×Q8×C61—21no—
161C2×Q8×C61C22×C412yes—
162C2×Q8×C61C22×C412yes—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61C2×D412yes—
168C22×C4×C61C2411yescharacteristic
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61C2×D412yes—
173C22×Dic61C2×D411yescharacteristic
174#11758226—28no—
175#11758226—28no—
176#11758226—44no—
177#11758226—44no—
178Q8×D61—28no—
179Q8×D61—28no—
180Q8×D61—44no—
181Q8×D61—44no—
182C2×D244—21no—
183C2×D244—21no—
184C2×D244—21no—
185C2×D244—21no—
186C2×D244—24no—
187C2×D244—21no—
188C2×D244—42no—
189C2×D244—42no—
190C2×D244C22×C412yes—
191C2×C4×D61—24no—
192C2×C4×D61—24no—
193C2×C4×D61—42no—
194C2×C4×D61—42no—
195C2×C4×D61—42no—
196C2×C4×D61—42no—
197C2×C4×D61—42no—
198C2×C4×D61—82no—
199C2×C4×D61C22×C412yes—
200C2×C4×D61C2×D412yes—
201C2×C4×D61C2×D412yes—
202C2×C4×D61C2×D412yes—
203C2×C4×D61#4112yes—
204C2×C4×D61#4112yes—
205C2×Dic122—21no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—24no—
211C2×Dic122—42no—
212C2×Dic122—42no—
213C2×Dic122C22×C412yes—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61—21no—
218C2×C8×C61C2×D412yes—
219C2×C8×C61C2×D412yes—
220C4⋊C4×C61—28no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C42×C61C22×C412yes—
226C42×C61C2×D412yes—
227#11758198—28no—
228#11758198—28no—
229#11758198—42no—
230#11758198C22⋊C418yes—
231C4⋊Dic61—21no—
232C4⋊Dic61—21no—
233C4⋊Dic61—21no—
234C4⋊Dic61—21no—
235C4⋊Dic61—82no—
236#11758196—28no—
237#11758196—42no—
238#11758196—82no—
239#11758196C22⋊C418yes—
240C4×Dic61—42no—
241C4×Dic61C22×C412yes—
242C4×Dic61C2×D412yes—
243C2×#92418—21no—
244C2×#92418—21no—
245C2×#92418—21no—
246C2×#92418—21no—
247C2×#92418C2×D412yes—
248C2×#92418C2×D412yes—
249#11758189—28no—
250C8×D61—28no—
251C23×C61C22×D411yescharacteristic
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61C2×C22⋊C412yes—
260C22×D61#12412yes—
261C22×D61#12712yes—
262Q8×C61—22no—
263Q8×C61—22no—
264Q8×C61—22no—
265Q8×C61—22no—
266Q8×C61—41no—
267Q8×C61—41no—
268Q8×C61—41no—
269Q8×C61—41no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—22no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61C2×C22⋊C414yes—
283C2×C4×C61C23×C411yescharacteristic
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61C2×C22⋊C414yes—
299C2×Dic61C2×C22⋊C412yes—
300C2×Dic61#12412yes—
301C2×Dic61#12712yes—
302D244—22no—
303D244—22no—
304D244—48no—
305D244—41no—
306D244—41no—
307C4×D61—48no—
308C4×D61—48no—
309C4×D61—84no—
310C4×D61C4×D414yes—
311C4×D61C4×D414yes—
312C4×D61#12114yes—
313C4×D61#12114yes—
314Dic122—22no—
315Dic122—22no—
316Dic122—41no—
317Dic122—41no—
318Dic122—48no—
319C8×C61—22no—
320C8×C61—22no—
321#92418—22no—
322#92418—22no—
323#21205—611nomaximal, Sylow
324C22×C61C22×C22⋊C411yescharacteristic
325C22×C61C2×#12411yescharacteristic
326C22×C61C2×#12711yescharacteristic
327C22×C61#57712yes—
328C22×C61#57812yes—
329C2×D61—24no—
330C2×D61—24no—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—44no—
334C2×D61—42no—
335C2×D61—82no—
336C2×D61—81no—
337C2×D61—81no—
338C2×D61#39014yes—
339C4×C61—24no—
340C4×C61—42no—
341C4×C61—42no—
342C4×C61—81no—
343C4×C61—81no—
344C4×C61C2×C4×D411yescharacteristic
345C4×C61C2×C4×D411yescharacteristic
346C4×C61C2×#12111yescharacteristic
347C4×C61C2×#12111yescharacteristic
348Dic61—24no—
349Dic61—42no—
350Dic61—81no—
351Dic61—81no—
352Dic61#39014yes—
353C2×#536—611no—
354C2×#417—611no—
355C2×#419—611no—
356C2×#416—611no—
357C22×#103—611no—
358C2×#405—611no—
359#2317—611no—
360#1960—611no—
361#1960D6111yescharacteristic, complemented
362#1959—611no—
363#1959—611no—
364#1958—611no—
365#1958—611no—
366#1956—611no—
367#1956—611no—
368C2×C61C2×#39011yescharacteristic
369C2×C61#289812yes—
370C2×C61#313712yes—
371C2×C61#315411yescharacteristic
372C2×C61#315611yescharacteristic
373D61—24no—
374D61—82no—
375C22×#41—611no—
376C23×Q8—611no—
377C22×M16—611no—
378C23×C8—611no—
379#536—618no—
380#536—1224no—
381C2×C4⋊Q8—611no—
382C2×C4⋊Q8C2×D6111yescharacteristic
383C2×#124—611no—
384C2×#124—611no—
385C2×#123—1222no—
386C2×C22⋊Q8—1222no—
387C2×#117—611no—
388C2×#117—611no—
389C22×C4⋊C4—611no—
390#419—1224no—
391#417—1224no—
392#416—1224no—
393C2×#103—611no—
394C2×#103—611no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—1224no—
402C2×#103C2×D6111yescharacteristic
403C2×#103C2×D6111yescharacteristic
404C2×#103C2×D6111yescharacteristic
405C2×#103C2×D6111yescharacteristic
406C2×#102—611no—
407C2×#102—611no—
408C2×#102—611no—
409C2×#102—611no—
410#405—1224no—
411C2×#97—611no—
412C2×#97C2×D6111yescharacteristic
413C2×C4×C8—611no—
414C2×C4×C8—611no—
415#389—1222no—
416#385—1222no—
417#384—611no—
418#384—611no—
419#382—611no—
420#382C2×D6111yescharacteristic
421C61#2120511yescharacteristic, complemented, Sylow
422C2×#41—614no—
423C2×#41—1222no—
424C2×#41—1222no—
425C2×#41—1222no—
426C2×#41—1222no—
427C2×#41—1222no—
428C22×Q8—614no—
429C22×Q8—611no—
430C22×Q8—1221no—
431C22×Q8—1222no—
432C22×Q8—1222no—
433C22×Q8—1222no—
434C22×Q8—1222no—
435C22×Q8—1222no—
436C22×Q8C22×D6111yescharacteristic
437C22×Q8C22×D6111yescharacteristic
438C22×D4—611no—
439C22×D4—1221no—
440C23×C4—611no—
441C23×C4—1221no—
442C23×C4—1221no—
443C23×C4—1221no—
444C2×M16—614no—
445C2×M16—1222no—
446C2×M16—1222no—
447C22×C8—611no—
448C22×C8—611no—
449C22×C8—614no—
450C22×C8—1222no—
451C22×C8—1222no—
452C22×C8C22×D6111yescharacteristic
453C22×C8C22×D6111yescharacteristic
454C4⋊Q8—22no—
455C4⋊Q8—614no—
456C4⋊Q8—1222no—
457C4⋊Q8C4×D6114yescomplemented
458#124—614no—
459#124—614no—
460#124—1222no—
461#124—1222no—
462#123—12216no—
463C22⋊Q8—12216no—
464#117—614no—
465#117—614no—
466#117—1222no—
467#117—1222no—
468C2×C4⋊C4—22no—
469C2×C4⋊C4—612no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—1222no—
473C2×C4⋊C4—1222no—
474C2×C4⋊C4—1222no—
475C2×C4⋊C4—1222no—
476C2×C4⋊C4—1222no—
477C2×C4⋊C4—1221no—
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C4⋊C4C22×D6111yescharacteristic
480C2×C22⋊C4—612no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1221no—
484C2×C42—611no—
485C2×C42—1221no—
486C2×C42C22×D6111yescharacteristic
487#103—22no—
488#103—22no—
489#103—22no—
490#103—22no—
491#103—1222no—
492#103—1222no—
493#103—1222no—
494#103—1222no—
495#103—1222no—
496#103—1222no—
497#103—1222no—
498#103—1222no—
499#102—1222no—
500#102—1222no—
501#102—1222no—
502#102—1222no—
503#97—22no—
504#97—1222no—
505C4×C8—1222no—
506C4×C8—1222no—
507#95—22no—
508#95—1222no—
509C24—611no—
510C24—1221no—
511#41—1228no—
512#41—1228no—
513#41—2444no—
514#41—2444no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—612no—
526C2×Q8—1224no—
527C2×Q8—1228no—
528C2×Q8—1228no—
529C2×Q8—1221no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—2442no—
535C2×Q8—2442no—
536C2×Q8—2444no—
537C2×Q8—2444no—
538C2×Q8C2×C4×D6112yes—
539C2×Q8C2×C4×D6112yes—
540C2×D4—612no—
541C2×D4—1224no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—1221no—
545C2×D4—1221no—
546C2×D4—1221no—
547C2×D4—2442no—
548C2×D4—2442no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—611no—
554C22×C4—612no—
555C22×C4—612no—
556C22×C4—612no—
557C22×C4—612no—
558C22×C4—612no—
559C22×C4—612no—
560C22×C4—612no—
561C22×C4—1224no—
562C22×C4—1224no—
563C22×C4—1221no—
564C22×C4—1221no—
565C22×C4—1221no—
566C22×C4—4882no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4—2442no—
570C22×C4—2442no—
571C22×C4—2442no—
572C22×C4D4×D6112yes—
573C22×C4C23×D6111yescharacteristic
574M16—1228no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—612no—
580C2×C8—612no—
581C2×C8—1228no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8—1221no—
586C2×C8D4×D6112yes—
587C2×C8D4×D6112yes—
588C4⋊C4—28no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—618no—
594C4⋊C4—1228no—
595C4⋊C4—1221no—
596C4⋊C4—1221no—
597C4⋊C4—1221no—
598C4⋊C4—1221no—
599C4⋊C4—4882no—
600C4⋊C4—4882no—
601C4⋊C4—2442no—
602C22⋊C4—618no—
603C22⋊C4—1228no—
604C22⋊C4—1228no—
605C22⋊C4—2442no—
606C42—612no—
607C42—612no—
608C42—2442no—
609C42C2×C4×D6112yes—
610C42D4×D6112yes—
611C23—612no—
612C23—612no—
613C23—612no—
614C23—1222no—
615C23—1222no—
616C23—1222no—
617C23—2441no—
618C23—2441no—
619C23—2442no—
620C23—2442no—
621C23C2×D4×D6111yescharacteristic
622Q8—22no—
623Q8—22no—
624Q8—22no—
625Q8—22no—
626Q8—41no—
627Q8—41no—
628Q8—41no—
629Q8—41no—
630Q8—1222no—
631Q8—1222no—
632Q8—2448no—
633Q8—2441no—
634Q8—2441no—
635D4—1222no—
636D4—1222no—
637D4—2448no—
638D4—2441no—
639D4—2441no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—612no—
653C2×C4—612no—
654C2×C4—612no—
655C2×C4—614no—
656C2×C4—614no—
657C2×C4—614no—
658C2×C4—614no—
659C2×C4—614no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—4884no—
664C2×C4—2448no—
665C2×C4—2448no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4C22⋊C4×D6114yes—
673C2×C4C22×C4×D6111yescharacteristic
674C2×C4C2×D4×D6111yescharacteristic
675C2×C4C2×D4×D6111yescharacteristic
676C2×C4C2×D4×D6111yescharacteristic
677C2×C4#41×D6111yescharacteristic
678C2×C4#41×D6111yescharacteristic
679C8—22no—
680C8—22no—
681C8—1222no—
682C8—1222no—
683C22—614no—
684C22—1224no—
685C22—1224no—
686C22—1222no—
687C22—1222no—
688C22—4882no—
689C22—4881no—
690C22—4881no—
691C22—2444no—
692C22—2442no—
693C22C2×C22⋊C4×D6111yescharacteristic
694C22#124×D6111yescharacteristic
695C22#127×D6111yescharacteristic
696C22#1684057112yes—
697C22#1684057812yes—
698C4—24no—
699C4—42no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—614no—
704C4—1224no—
705C4—4881no—
706C4—4881no—
707C4—2442no—
708C4C4×D4×D6111yescharacteristic
709C4C4×D4×D6111yescharacteristic
710C4#121×D6111yescharacteristic
711C4#121×D6111yescharacteristic
712C2—1224no—
713C2—4882no—
714C2#390×D6111yescharacteristic
715C2#2145435112yes—
716C2#2145618512yes—
717C2#2145629411yescharacteristic
718C2#2145631111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1960C2
socleC23×C61C22×D4
prime radicalC22×#11758226C22
cosocleC22×C4×C61C24
hypercenter#1960D61
hypocenterC61#21205
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1960

Complements

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

NH ≅ G/Ntype
3. C2×#16839769C2semidirect
5. C2×#103×D61C2semidirect
6. C2×#16839719C2semidirect
7. #21448444C2semidirect
8. #21446637C2semidirect
9. #21446635C2semidirect
10. #21446632C2semidirect
11. #21446628C2semidirect
12. #21446627C2semidirect
13. #21446622C2semidirect
14. #21446619C2semidirect
15. C61×#1960C2semidirect
21. #16840337C4semidirect
91. #14519775C2×C4semidirect
93. #14519766C2×C4semidirect
95. #14519765C2×C4semidirect
138. C4⋊Q8×C61C2×C4semidirect
361. #1960D61semidirect
421. C61#21205semidirect
457. C4⋊Q8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403372
C2×#168397622
C2×#168397692
C2×#168397572
C2×#103×D612
C2×#168397192
#214484442
#214466372
#214466352
#214466322
#214466282
#214466272
#214466222
#214466192
C61×#19602
#2120561