Finite Group Databasebeta

← #29737484

Subgroups — #29737484

Order 15616.

1032 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840050C211yesmaximal, characteristic, complemented
2#21449515C211yesmaximal, characteristic, complemented
3#21448649C211yesmaximal, characteristic
4#21447360C211yesmaximal, characteristic, complemented
5#21447212C211yesmaximal, characteristic, complemented
6#21447196C211yesmaximal, characteristic, complemented
7#21446958C211yesmaximal, characteristic, complemented
8#21446078C211yesmaximal, characteristic, complemented
9#21446068C211yesmaximal, characteristic, complemented
10#21446012C211yesmaximal, characteristic, complemented
11#21446002C211yesmaximal, characteristic, complemented
12#21445852C211yesmaximal, characteristic, complemented
13#21445817C211yesmaximal, characteristic, complemented
14#21445759C211yesmaximal, characteristic
15C2×C61×#417C211yesmaximal, characteristic
16C2×#14519776C2211yescharacteristic
17C2×#14519756—21no—
18C2×D4×Dic61C2211yescharacteristic
19C2×D4×Dic61C2211yescharacteristic
20#16840050—24no—
21C2×#14519711C2211yescharacteristic
22C2×#14519709C2211yescharacteristic
23C2×#14519708C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32#16839695—21no—
33#16839682—21no—
34#16839669C2211yescharacteristic
35#16839669C2211yescharacteristic
36#16839661C2211yescharacteristic
37#16839658C2211yescharacteristic
38#16839642—21no—
39#16839642—21no—
40#16839635—21no—
41#16839631C2211yescharacteristic
42#16839625—21no—
43#16839622C2211yescharacteristic
44#16839622C2211yescharacteristic
45C4×C22⋊Dic61C2211yescharacteristic
46C2×#14519684—21no—
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53C22×#41×C61C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C22×C4⋊C4×C61C2211yescharacteristic
56C61×#417—24no—
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C22×Dic122—21no—
62C23×Dic61—21no—
63C23×Dic61—21no—
64C22×#92418C2311yescharacteristic
65C22×#92418C2311yescharacteristic
66#14519776—22no—
67#14519776—41no—
68#14519756—44no—
69D4×Dic61—22no—
70D4×Dic61—22no—
71D4×Dic61—41no—
72D4×Dic61—41no—
73C2×C4⋊Dic61—21no—
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×#11758196—21no—
79C2×#11758196—21no—
80C2×#11758196—21no—
81C2×#11758196—21no—
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61D411yescharacteristic
87C2×C22⋊Dic61D411yescharacteristic
88C2×C4×Dic61C2311yescharacteristic
89C2×C4×Dic61C2311yescharacteristic
90#14519711—41no—
91#14519709—22no—
92#14519708—22no—
93#14519708—41no—
94#14519706—22no—
95#14519706—41no—
96#14519701—41no—
97#14519701—41no—
98#14519698—22no—
99#14519698—22no—
100C22⋊#92418—22no—
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684D411yescharacteristic
110#14519684D411yescharacteristic
111C2×#41×C61—22no—
112C2×#41×C61—22no—
113C2×#41×C61—22no—
114C2×#41×C61—41no—
115C2×#41×C61—41no—
116C2×#41×C61Q814yescomplemented
117C22×Q8×C61C2311yescharacteristic
118C22×D4×C61—21no—
119C22×D4×C61C2311yescharacteristic
120C23×C4×C61—21no—
121C23×C4×C61—21no—
122C23×C4×C61C2311yescharacteristic
123C2×M16×C61—22no—
124C2×M16×C61—22no—
125C2×M16×C61—41no—
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C2×C4⋊C4×C61—22no—
129C2×C4⋊C4×C61—21no—
130C2×C4⋊C4×C61—41no—
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133#103×C61—22no—
134#103×C61—22no—
135#102×C61—22no—
136#102×C61D414yes—
137C24×C61—21no—
138C24×C61C2×D411yescharacteristic
139#41×C61—28no—
140#41×C61—44no—
141#41×C61—44no—
142#41×C61—44no—
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61C2×Q812yes—
149C2×D4×C61—24no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—42no—
154C2×D4×C61—42no—
155C2×D4×C61C2×D412yes—
156C2×D4×C61C2×Q812yes—
157C2×D4×C61#4112yes—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—24no—
165C22×C4×C61—21no—
166C22×C4×C61—42no—
167C22×C4×C61—42no—
168C22×C4×C61—42no—
169C22×C4×C61—42no—
170C22×C4×C61—81no—
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×Q812yes—
173C22×C4×C61#4112yes—
174C22×C4×C61C2411yescharacteristic
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—21no—
178C22×Dic61—21no—
179C22×Dic61—42no—
180C22×Dic61—42no—
181C22×Dic61—42no—
182C22×Dic61—42no—
183C22×Dic61—81no—
184C22×Dic61—81no—
185C22×Dic61C2×D411yescharacteristic
186C22×Dic61C2×D411yescharacteristic
187C22×Dic61C2×D411yescharacteristic
188C22×Dic61C2×D411yescharacteristic
189C2×Dic122—42no—
190C2×Dic122—42no—
191C2×Dic122—81no—
192M16×C61—44no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61—21no—
197C2×C8×C61—21no—
198C2×C8×C61C2×D412yes—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—42no—
203C4⋊C4×C61C2×D412yes—
204C22⋊Dic61—22no—
205C22⋊Dic61—22no—
206C22⋊Dic61—42no—
207C22⋊Dic61—42no—
208C22⋊Dic61—42no—
209C22⋊Dic61—81no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—42no—
219#11758196—42no—
220#11758196—42no—
221#11758196—42no—
222#11758196—81no—
223C4×Dic61—21no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—21no—
236C23×C61—22no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61C22⋊Q812yes—
247C23×C61C22×D411yescharacteristic
248Q8×C61—22no—
249Q8×C61—22no—
250Q8×C61—41no—
251Q8×C61—41no—
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—48no—
256D4×C61C22⋊Q814yescomplemented
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—48no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—84no—
274C2×C4×C61C22⋊Q812yes—
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C22×Q811yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61H(5,𝔽2)11yescharacteristic
280C2×C4×C61H(5,𝔽2)11yescharacteristic
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—84no—
304C2×Dic61—84no—
305C2×Dic61AGL(1,ℤ/8)12yes—
306C2×Dic61#13712yes—
307Dic122—84no—
308C8×C61—22no—
309C8×C61—41no—
310#92418—41no—
311#92418—41no—
312#25978—611nomaximal, Sylow
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—22no—
316C22×C61—24no—
317C22×C61—41no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—41no—
327C22×C61C2×C22⋊Q811yescharacteristic
328C22×C61D4211yescharacteristic
329C22×C61#54611yescharacteristic
330C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
331C22×C61C2×#13711yescharacteristic
332C22×C61#57711yescharacteristic
333C22×C61#57711yescharacteristic
334C4×C61—22no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61—81no—
338C4×C61C2×C22⋊Q811yescharacteristic
339C4×C61#54311yescharacteristic
340C4×C61#54611yescharacteristic
341C4×C61#55111yescharacteristic
342Dic61—22no—
343Dic61—22no—
344Dic61—41no—
345Dic61—41no—
346Dic61—81no—
347Dic61—81no—
348Dic61—81no—
349Dic61—81no—
350C2×#476—611no—
351C2×#417D6111yescharacteristic
352#2440—611no—
353#2339—611no—
354#2096—611no—
355#2068—611no—
356#2066—611no—
357#2024—611no—
358#1864—611no—
359#1862—611no—
360#1853—611no—
361#1851—611no—
362#1809—611no—
363#1802—611no—
364#1788—611no—
365C2×C61—42no—
366C2×C61—44no—
367C2×C61#243711yescharacteristic
368C2×C61#307911yescharacteristic
369C2×C61#308411yescharacteristic
370C2×C61#326611yescharacteristic
371C2×C61#327211yescharacteristic
372C2×C61#330611yescharacteristic
373C2×C61#333111yescharacteristic
374C22×#41C2×D6111yescharacteristic
375C22×M16C2×D6111yescharacteristic
376C2×C4⋊Q8—611no—
377C2×C22⋊Q8—1221no—
378C2×C4×D4—611no—
379C2×C4×D4—611no—
380C22×C4⋊C4C2×D6111yescharacteristic
381#476—1224no—
382C2×#107—611no—
383C2×#106—611no—
384C2×#106—611no—
385C2×#106—611no—
386C2×C4⋊C8—611no—
387C2×C4⋊C8—611no—
388#417—24no—
389C2×#103—611no—
390C2×#103—611no—
391C2×#103C2×D6111yescharacteristic
392C2×#103C2×D6111yescharacteristic
393C2×#102—611no—
394C2×#102—611no—
395C2×#102C2×D6111yescharacteristic
396C2×#102C2×D6111yescharacteristic
397C2×C22⋊C8—611no—
398#398—1221no—
399#395—1221no—
400#391—611no—
401#391—611no—
402#389—611no—
403#389—611no—
404#386—1221no—
405#386—1221no—
406#385—1221no—
407#384—611no—
408#381—1221no—
409#380—611no—
410#380—611no—
411C4×C22⋊C4—611no—
412C2×#95—1221no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#336—611no—
418#336—611no—
419C61#2597811yescharacteristic, complemented, Sylow
420C2×#41—22no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—41no—
424C2×#41—41no—
425C2×#41Dic12214yescomplemented
426C22×Q8—1221no—
427C22×Q8C22×D6111yescharacteristic
428C22×D4—21no—
429C22×D4C22×D6111yescharacteristic
430C23×C4—21no—
431C23×C4—21no—
432C23×C4—1221no—
433C23×C4—1221no—
434C23×C4C22×D6111yescharacteristic
435C2×M16—22no—
436C2×M16—22no—
437C2×M16—41no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8C22×D6111yescharacteristic
441C22×C8C22×D6111yescharacteristic
442C4⋊Q8—1222no—
443C4⋊Q8—2441no—
444C22⋊Q8—2444no—
445C4×D4—1222no—
446C4×D4—1222no—
447C4×D4—2441no—
448C4×D4—2441no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—41no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C22⋊C4—611no—
464C2×C22⋊C4—611no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C42—611no—
470C2×C42—611no—
471#107—2441no—
472#106—1222no—
473#106—1222no—
474#106—2441no—
475C4⋊C8—1222no—
476C4⋊C8—2441no—
477#103—22no—
478#103—22no—
479#103—2441no—
480#103—2441no—
481#102—22no—
482#102—1222no—
483#102—1222no—
484#102C22⋊D6114yes—
485C22⋊C8—1222no—
486#95—611no—
487#95—611no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496C24—21no—
497C24D4×D6111yescharacteristic
498#41—28no—
499#41—44no—
500#41—44no—
501#41—44no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—4881no—
508C2×Q8—2442no—
509C2×Q8—2442no—
510C2×Q8C2×Dic12212yes—
511C2×D4—24no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4C2×Dic12212yes—
518C2×D4#1175822212yes—
519C2×D4C2×C22⋊D6112yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—81no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—4881no—
542C22×C4—4881no—
543C22×C4—2442no—
544C22×C4—2442no—
545C22×C4—2442no—
546C22×C4—2442no—
547C22×C4C2×Dic12212yes—
548C22×C4D4×D6111yescharacteristic
549C22×C4#1175822412yes—
550C22×C4C23×D6111yescharacteristic
551M16—44no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8C2×C22⋊D6112yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—4881no—
577C4⋊C4—2442no—
578C4⋊C4—2442no—
579C4⋊C4—2442no—
580C4⋊C4—2442no—
581C4⋊C4C2×C22⋊D6112yes—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—4881no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C42—1221no—
589C42—1221no—
590C42—1221no—
591C42—1221no—
592C23—22no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—22no—
598C23—21no—
599C23—22no—
600C23—21no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#1451975412yes—
606C23C2×D4×D6111yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—4884no—
612D4—22no—
613D4—22no—
614D4—22no—
615D4—48no—
616D4#1451975614yescomplemented
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—48no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
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—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—4884no—
647C2×C4—4884no—
648C2×C4—2441no—
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×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4#1451975412yes—
661C2×C4C22×C22⋊D6111yescharacteristic
662C2×C4C22×Dic12211yescharacteristic
663C2×C4C2×#1175822411yescharacteristic
664C2×C4C2×#1175822211yescharacteristic
665C2×C4#1451982211yescharacteristic
666C2×C4#1451982211yescharacteristic
667C8—22no—
668C8—41no—
669C8—2441no—
670C8—2441no—
671C22—22no—
672C22—24no—
673C22—22no—
674C22—22no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—41no—
681C22—42no—
682C22—41no—
683C22—41no—
684C22—42no—
685C22C2×#1451975411yescharacteristic
686C22D4×C22⋊D6111yescharacteristic
687C22#1684040211yescharacteristic
688C22AGL(1,ℤ/8)×D6111yescharacteristic
689C22#137×D6111yescharacteristic
690C22#1684057111yescharacteristic
691C22#1684057211yescharacteristic
692C4—22no—
693C4—42no—
694C4—42no—
695C4—81no—
696C4—1222no—
697C4—1222no—
698C4—4881no—
699C4—4881no—
700C4—4881no—
701C4—4881no—
702C4—2441no—
703C4—2441no—
704C4C2×#1451975611yescharacteristic
705C4#1684038811yescharacteristic
706C4#1684040611yescharacteristic
707C4#1684043811yescharacteristic
708C2—42no—
709C2—44no—
710C2#2144948011yescharacteristic
711C2#2145563011yescharacteristic
712C2#2145568511yescharacteristic
713C2#2145732311yescharacteristic
714C2#2145741311yescharacteristic
715C2#2145778111yescharacteristic
716C2#2145813111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#417C2
socleC23×C61C22×D4
prime radicalC22×#41×C61C22
hypercenterC2×#417D61
hypocenterC61#25978
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
1. C2×#16840050C2semidirect
2. #21449515C2semidirect
4. #21447360C2semidirect
5. #21447212C2semidirect
6. #21447196C2semidirect
7. #21446958C2semidirect
8. #21446078C2semidirect
9. #21446068C2semidirect
10. #21446012C2semidirect
11. #21446002C2semidirect
12. #21445852C2semidirect
13. #21445817C2semidirect
116. C2×#41×C61Q8semidirect
256. D4×C61C22⋊Q8semidirect
419. C61#25978semidirect
425. C2×#41Dic122semidirect
616. D4#14519756semidirect

Maximal subgroups

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

subgroupindex
C2×#168400502
#214495152
#214486492
#214473602
#214472122
#214471962
#214469582
#214460782
#214460682
#214460122
#214460022
#214458522
#214458172
#214457592
C2×C61×#4172
#2597861