Finite Group Databasebeta

← C2×#481×D61 #30547762

Subgroups — C2×#481×D61 #30547762

Order 15616.

3006 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D61C211yesmaximal, characteristic
2C22×C4⋊C4×D61C211yesmaximal, characteristic, complemented
3C2×#16840082C212yesmaximal, complemented
4C2×#16840081C211yesmaximal, characteristic, complemented
5C2×#16840080C211yesmaximal, characteristic, complemented
6C2×#16840079C212yesmaximal, complemented
7C2×#16840078C211yesmaximal, characteristic, complemented
8#481×D61C2116yesmaximal, direct product factor
9C2×#106×D61C212yesmaximal, complemented
10C2×#102×D61C212yesmaximal, complemented
11C2×C22⋊C8×D61C211yesmaximal, characteristic, complemented
12C2×C61×#481C211yesmaximal, characteristic, complemented
13C22×D4×D61—21no—
14C22×D4×D61C2211yescharacteristic
15C23×C4×D61—21no—
16C23×C4×D61C2211yescharacteristic
17C22×C8×D61C2212yes—
18C2×#14519752C2211yescharacteristic
19C2×#14519751C2211yescharacteristic
20C2×#14519750—21no—
21C2×#14519749—21no—
22C2×#14519748C2211yescharacteristic
23#121×D61—24no—
24#121×D61C2218yes—
25C22×C4⋊Dic61C2211yescharacteristic, complemented
26C22×#11758196—21no—
27C2×C4⋊C4×D61—21no—
28C2×C4⋊C4×D61—24no—
29C2×C4⋊C4×D61—21no—
30C2×C4⋊C4×D61C2212yes—
31C2×C4⋊C4×D61C2211yescharacteristic
32C2×C4⋊C4×D61C2212yescomplemented
33C2×C4⋊C4×D61C2218yescomplemented
34C2×C22⋊C4×D61—21no—
35#16840082C22116yescomplemented
36#16840081C2218yescomplemented
37#16840080C2218yescomplemented
38#16840079C22116yescomplemented
39#16840078C2218yescomplemented
40C2×#14519709C2212yescomplemented
41C2×#14519708C2212yescomplemented
42C2×#14519708C2212yescomplemented
43#106×D61C22116yescomplemented
44C2×#14519699C2212yescomplemented
45C2×#14519698C2212yescomplemented
46C2×#14519697C2212yescomplemented
47#102×D61C22116yescomplemented
48C2×C22⋊#92418C2211yescharacteristic, complemented
49C2×#14519689C2212yescomplemented
50C22⋊C8×D61C2218yescomplemented
51C2×#121×C61C2211yescharacteristic
52C22×C4⋊C4×C61C2211yescharacteristic, complemented
53C61×#481C2218yescomplemented
54C2×#106×C61C2212yescomplemented
55C2×#102×C61C2212yescomplemented
56C2×C22⋊C8×C61C2211yescharacteristic, complemented
57C24×D61—21no—
58C24×D61D411yescharacteristic
59C22×D244—21no—
60C22×D244C2311yescharacteristic
61C22×C22⋊D61—21no—
62C22×C22⋊D61—21no—
63C22×C22⋊D61—21no—
64C2×D4×D61—28no—
65C2×D4×D61—22no—
66C2×D4×D61—28no—
67C2×D4×D61—48no—
68C2×D4×D61C2314yes—
69C23×Dic61—21no—
70C23×Dic61D411yescharacteristic
71C22×C4×D61—28no—
72C22×C4×D61—21no—
73C22×C4×D61—22no—
74C22×C4×D61—28no—
75C22×C4×D61—22no—
76C22×C4×D61—48no—
77C22×C4×D61D411yescharacteristic
78C22×C4×D61D414yes—
79C22×C4×D61D411yescharacteristic
80C22×C4×D61C2314yes—
81C22×C4×D61C2311yescharacteristic
82C22×C4×D61C2311yescharacteristic
83C22×#92418C2312yes—
84C2×C8×D61—28no—
85C2×C8×D61C2318yes—
86#14519752—22no—
87#14519752C2314yes—
88#14519751—22no—
89#14519751C2314yes—
90#14519750—28no—
91#14519749—28no—
92#14519748—22no—
93#14519748C2314yes—
94C2×C4⋊Dic61—22no—
95C2×C4⋊Dic61—21no—
96C2×C4⋊Dic61C2312yes—
97C2×C4⋊Dic61C2311yescharacteristic
98C2×C4⋊Dic61C2314yescomplemented
99C2×#11758196—22no—
100C2×#11758196—28no—
101C2×#11758196—22no—
102C2×#11758196—21no—
103C4⋊C4×D61—24no—
104C4⋊C4×D61—28no—
105C4⋊C4×D61—24no—
106C4⋊C4×D61—28no—
107C4⋊C4×D61—22no—
108C4⋊C4×D61C2318yes—
109C4⋊C4×D61C2314yes—
110C4⋊C4×D61C2318yescomplemented
111C2×C22⋊Dic61—21no—
112C2×#11758198—21no—
113C2×#11758198—21no—
114C22⋊C4×D61—28no—
115#14519709C2318yescomplemented
116#14519708C2318yescomplemented
117#14519708C2318yescomplemented
118#14519699C2318yescomplemented
119#14519698C2318yescomplemented
120#14519697C2318yescomplemented
121C22⋊#92418C2314yescomplemented
122#14519689C2318yescomplemented
123C22×D4×C61—21no—
124C22×D4×C61C2311yescharacteristic
125C23×C4×C61—21no—
126C23×C4×C61C2311yescharacteristic
127C22×C8×C61C2312yes—
128#121×C61—22no—
129#121×C61C2314yes—
130C2×C4⋊C4×C61—22no—
131C2×C4⋊C4×C61—21no—
132C2×C4⋊C4×C61C2312yes—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2314yescomplemented
135C2×C22⋊C4×C61—21no—
136#106×C61C2318yescomplemented
137#102×C61C2318yescomplemented
138C22⋊C8×C61C2314yescomplemented
139C24×C61—21no—
140C24×C61C2×D411yescharacteristic
141C23×D61—24no—
142C23×D61—24no—
143C23×D61—21no—
144C23×D61—24no—
145C23×D61—44no—
146C23×D61—44no—
147C23×D61—44no—
148C23×D61SD1618yes—
149C23×D61C2×D414yes—
150C23×D61C2×D411yescharacteristic
151C23×D61C2×D411yescharacteristic
152C2×D4×C61—24no—
153C2×D4×C61—21no—
154C2×D4×C61—24no—
155C2×D4×C61—44no—
156C2×D4×C61C2412yes—
157C22×C4×C61—24no—
158C22×C4×C61—22no—
159C22×C4×C61—24no—
160C22×C4×C61—21no—
161C22×C4×C61—44no—
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D412yes—
164C22×C4×C61C2412yes—
165C22×C4×C61C2411yescharacteristic
166C2×C22⋊D61—24no—
167C2×C22⋊D61—24no—
168C2×C22⋊D61—24no—
169C2×C22⋊D61—44no—
170C2×C22⋊D61—44no—
171C2×C22⋊D61—44no—
172C22×Dic61—24no—
173C22×Dic61—22no—
174C22×Dic61—24no—
175C22×Dic61—21no—
176C22×Dic61—44no—
177C22×Dic61C2×D411yescharacteristic
178C22×Dic61C2×D414yes—
179C22×Dic61C2×D411yescharacteristic
180D4×D61—216no—
181D4×D61—432no—
182D4×D61—48no—
183C2×D244—24no—
184C2×D244—24no—
185C2×D244—21no—
186C2×D244—44no—
187C2×D244C2412yes—
188C2×C4×D61—24no—
189C2×C4×D61—24no—
190C2×C4×D61—24no—
191C2×C4×D61—216no—
192C2×C4×D61—216no—
193C2×C4×D61—28no—
194C2×C4×D61—28no—
195C2×C4×D61—24no—
196C2×C4×D61—48no—
197C2×C4×D61—432no—
198C2×C4×D61—44no—
199C2×C4×D61—48no—
200C2×C4×D61C2×D414yes—
201C2×C4×D61C2×D412yes—
202C2×C4×D61C2×D414yes—
203C2×C4×D61C2×D412yes—
204C2×C4×D61#4118yes—
205C2×C4×D61C2412yes—
206C2×C4×D61C2412yes—
207C2×C8×C61—24no—
208C2×C8×C61C2414yes—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—24no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61C2414yes—
213C4⋊C4×C61C2412yes—
214C22⋊C4×C61—24no—
215C22⋊Dic61—24no—
216#11758198—24no—
217#11758198—24no—
218C4⋊Dic61—22no—
219C4⋊Dic61—24no—
220C4⋊Dic61—21no—
221C4⋊Dic61C2414yes—
222C4⋊Dic61C2412yes—
223#11758196—28no—
224#11758196—28no—
225#11758196—24no—
226C2×#92418—24no—
227C2×#92418C2414yes—
228C8×D61—216no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—42no—
233C23×C61—42no—
234C23×C61—42no—
235C23×C61C2×SD1614yes—
236C23×C61C22×D412yes—
237C23×C61C22×D411yescharacteristic
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—28no—
241C22×D61—28no—
242C22×D61—232no—
243C22×D61—22no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—48no—
248C22×D61—48no—
249C22×D61—48no—
250C22×D61—816no—
251C22×D61#12314yes—
252C22×D61C2×SD1614yes—
253C22×D61C2×SD16116yes—
254C22×D61C2×SD1614yes—
255C22×D61AGL(1,ℤ/8)14yes—
256C22×D61C22×D412yes—
257C22×D61C22×D412yes—
258D4×C61—24no—
259D4×C61—48no—
260D4×C61—42no—
261C2×C4×C61—22no—
262C2×C4×C61—24no—
263C2×C4×C61—24no—
264C2×C4×C61—24no—
265C2×C4×C61—22no—
266C2×C4×C61—48no—
267C2×C4×C61—42no—
268C2×C4×C61—44no—
269C2×C4×C61C22×D412yes—
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C2×#4114yes—
272C2×C4×C61C2511yescharacteristic
273C22⋊D61—48no—
274C22⋊D61—48no—
275C22⋊D61—48no—
276C2×Dic61—22no—
277C2×Dic61—28no—
278C2×Dic61—24no—
279C2×Dic61—22no—
280C2×Dic61—48no—
281C2×Dic61—42no—
282C2×Dic61—44no—
283C2×Dic61#12314yes—
284C2×Dic61C22×D412yes—
285C2×Dic61C22×D412yes—
286D244—24no—
287D244—48no—
288D244—42no—
289C4×D61—28no—
290C4×D61—24no—
291C4×D61—24no—
292C4×D61—28no—
293C4×D61—416no—
294C4×D61—48no—
295C4×D61—416no—
296C4×D61#12318yes—
297C4×D61C2×#4118yes—
298C8×C61—24no—
299#92418—24no—
300C22×#481—611nomaximal, Sylow
301C22×C61—28no—
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—42no—
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—84no—
308C22×C61C2×#12312yes—
309C22×C61C22×SD1614yes—
310C22×C61C22×SD1612yes—
311C22×C61C2×AGL(1,ℤ/8)12yes—
312C22×C61C23×D411yescharacteristic
313C2×D61—28no—
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—232no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—42no—
320C2×D61—84no—
321C2×D61—816no—
322C2×D61#481116yesdirect product factor
323C2×D61C2×#12314yes—
324C2×D61C22×SD1614yes—
325C2×D61C22×SD1614yes—
326C2×D61C2×AGL(1,ℤ/8)14yes—
327C4×C61—22no—
328C4×C61—42no—
329C4×C61—44no—
330C4×C61C2×#12312yes—
331C4×C61C22×#4112yes—
332Dic61—22no—
333Dic61—42no—
334Dic61—44no—
335Dic61C2×#12314yes—
336C22×#121—611no—
337C23×C4⋊C4—611no—
338C2×#481—6116no—
339C2×#481—612no—
340C2×#481—612no—
341C2×#481—611no—
342C2×#481—611no—
343C2×#481—611no—
344C2×#481D6111yescharacteristic, direct product factor
345C22×#106—612no—
346C22×#102—612no—
347C22×C22⋊C8—611no—
348C2×C61—24no—
349C2×C61—82no—
350C2×C61C2×#48114yescomplemented
351C2×C61C22×#12311yescharacteristic
352C2×C61C23×SD1611yescharacteristic
353C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
354D61—24no—
355D61—82no—
356D61C2×#48118yesdirect product factor
357C23×D4—611no—
358C23×D4—1221no—
359C24×C4—611no—
360C24×C4—1221no—
361C23×C8—612no—
362C2×#121—611no—
363C2×#121—611no—
364C2×#121—618no—
365C2×#121—611no—
366C2×#121—1221no—
367C2×#121—1224no—
368C2×#121—1221no—
369C2×#121C2×D6111yescharacteristic
370C22×C4⋊C4—611no—
371C22×C4⋊C4—612no—
372C22×C4⋊C4—612no—
373C22×C4⋊C4—611no—
374C22×C4⋊C4—618no—
375C22×C4⋊C4—1221no—
376C22×C4⋊C4—1224no—
377C22×C4⋊C4—1221no—
378C22×C4⋊C4—1221no—
379C22×C4⋊C4C2×D6111yescharacteristic, complemented
380C22×C22⋊C4—1221no—
381#481—618no—
382#481—618no—
383#481—6116no—
384#481—6116no—
385#481—618no—
386#481C2×D6118yesdirect product factor
387C2×#106—612no—
388C2×#106—612no—
389C2×#106—612no—
390C2×#106—6116no—
391C2×#106C2×D6112yescomplemented
392C2×#102—612no—
393C2×#102—612no—
394C2×#102—612no—
395C2×#102—6116no—
396C2×#102C2×D6112yescomplemented
397C2×C22⋊C8—611no—
398C2×C22⋊C8—612no—
399C2×C22⋊C8—618no—
400C2×C22⋊C8C2×D6111yescharacteristic, complemented
401C61C22×#48111yescharacteristic, complemented, Sylow
402C25—611no—
403C25—1221no—
404C22×D4—21no—
405C22×D4—614no—
406C22×D4—611no—
407C22×D4—1221no—
408C22×D4—1228no—
409C22×D4—1222no—
410C22×D4—1221no—
411C22×D4—1228no—
412C22×D4—1221no—
413C22×D4—1221no—
414C22×D4—2448no—
415C22×D4C22×D6111yescharacteristic
416C23×C4—21no—
417C23×C4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4—614no—
422C23×C4—614no—
423C23×C4—611no—
424C23×C4—1228no—
425C23×C4—1221no—
426C23×C4—1228no—
427C23×C4—1222no—
428C23×C4—1222no—
429C23×C4—1221no—
430C23×C4—2448no—
431C23×C4C22×D6111yescharacteristic
432C22×C8—612no—
433C22×C8—618no—
434C22×C8—1228no—
435C22×C8C22×D6112yes—
436#121—22no—
437#121—614no—
438#121—614no—
439#121—614no—
440#121—1228no—
441#121—1222no—
442#121—1222no—
443#121—1228no—
444#121—1222no—
445#121C22×D6114yes—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—612no—
449C2×C4⋊C4—614no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—618no—
452C2×C4⋊C4—618no—
453C2×C4⋊C4—614no—
454C2×C4⋊C4—1224no—
455C2×C4⋊C4—1224no—
456C2×C4⋊C4—1228no—
457C2×C4⋊C4—1228no—
458C2×C4⋊C4—1222no—
459C2×C4⋊C4—1228no—
460C2×C4⋊C4—1222no—
461C2×C4⋊C4—1222no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4C22×D6112yes—
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6114yescomplemented
468C2×C22⋊C4—21no—
469C2×C22⋊C4—1228no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473#106—618no—
474#106—618no—
475#106—618no—
476#106C22×D6118yescomplemented
477#102—618no—
478#102—618no—
479#102—618no—
480#102C22×D6118yescomplemented
481C22⋊C8—614no—
482C22⋊C8—618no—
483C22⋊C8C22×D6114yescomplemented
484C24—21no—
485C24—611no—
486C24—614no—
487C24—611no—
488C24—618no—
489C24—1224no—
490C24—1224no—
491C24—1224no—
492C24—1221no—
493C24—2444no—
494C24—2444no—
495C24—2444no—
496C24D4×D6111yescharacteristic
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—24no—
500C2×D4—44no—
501C2×D4—612no—
502C2×D4—1224no—
503C2×D4—12216no—
504C2×D4—1224no—
505C2×D4—1224no—
506C2×D4—1224no—
507C2×D4—1221no—
508C2×D4—1224no—
509C2×D4—2444no—
510C2×D4—2448no—
511C2×D4—2444no—
512C2×D4—24432no—
513C2×D4—2444no—
514C2×D4—2444no—
515C2×D4C23×D6112yes—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—21no—
519C22×C4—22no—
520C22×C4—44no—
521C22×C4—611no—
522C22×C4—612no—
523C22×C4—618no—
524C22×C4—612no—
525C22×C4—614no—
526C22×C4—611no—
527C22×C4—614no—
528C22×C4—614no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—1224no—
532C22×C4—12216no—
533C22×C4—12216no—
534C22×C4—1224no—
535C22×C4—1224no—
536C22×C4—1228no—
537C22×C4—1228no—
538C22×C4—1224no—
539C22×C4—1224no—
540C22×C4—1224no—
541C22×C4—1221no—
542C22×C4—1222no—
543C22×C4—2448no—
544C22×C4—2444no—
545C22×C4—24432no—
546C22×C4—2448no—
547C22×C4—2444no—
548C22×C4D4×D6112yes—
549C22×C4D4×D6111yescharacteristic
550C22×C4C23×D6112yes—
551C22×C4C23×D6111yescharacteristic
552C2×C8—24no—
553C2×C8—614no—
554C2×C8—12216no—
555C2×C8—1224no—
556C2×C8C23×D6114yes—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—21no—
560C4⋊C4—614no—
561C4⋊C4—612no—
562C4⋊C4—1228no—
563C4⋊C4—1228no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1222no—
567C4⋊C4—1221no—
568C4⋊C4C23×D6114yes—
569C4⋊C4C23×D6112yes—
570C22⋊C4—24no—
571C22⋊C4—1224no—
572C22⋊C4—1224no—
573C22⋊C4—1224no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—614no—
581C23—614no—
582C23—614no—
583C23—612no—
584C23—6116no—
585C23—614no—
586C23—612no—
587C23—1228no—
588C23—1228no—
589C23—12232no—
590C23—1222no—
591C23—1222no—
592C23—1222no—
593C23—48816no—
594C23—2448no—
595C23—2448no—
596C23—2448no—
597C23—2442no—
598C23—2442no—
599C23—2442no—
600C23SD16×D6114yes—
601C23C2×D4×D6112yes—
602C23C2×D4×D6111yescharacteristic
603D4—24no—
604D4—48no—
605D4—42no—
606D4—1224no—
607D4—2448no—
608D4—2448no—
609D4—2448no—
610D4—2448no—
611D4—2442no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—48no—
618C2×C4—42no—
619C2×C4—44no—
620C2×C4—614no—
621C2×C4—612no—
622C2×C4—618no—
623C2×C4—618no—
624C2×C4—612no—
625C2×C4—1228no—
626C2×C4—1228no—
627C2×C4—1228no—
628C2×C4—1222no—
629C2×C4—1224no—
630C2×C4—1224no—
631C2×C4—1222no—
632C2×C4—1224no—
633C2×C4—24416no—
634C2×C4—2448no—
635C2×C4—24416no—
636C2×C4—2448no—
637C2×C4—2442no—
638C2×C4—2444no—
639C2×C4C2×D4×D6112yes—
640C2×C4C2×D4×D6111yescharacteristic
641C2×C4#41×D6114yes—
642C2×C4C24×D6111yescharacteristic
643C8—24no—
644C8—1224no—
645C22—22no—
646C22—28no—
647C22—22no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—84no—
652C22—614no—
653C22—614no—
654C22—6116no—
655C22—614no—
656C22—614no—
657C22—12232no—
658C22—1222no—
659C22—1228no—
660C22—1222no—
661C22—48816no—
662C22—4884no—
663C22—2442no—
664C22—2442no—
665C22—2442no—
666C22#123×D6112yes—
667C22C2×SD16×D6114yes—
668C22C2×SD16×D6112yes—
669C22AGL(1,ℤ/8)×D6112yes—
670C22C22×D4×D6111yescharacteristic
671C4—22no—
672C4—42no—
673C4—44no—
674C4—614no—
675C4—1222no—
676C4—2442no—
677C4—2444no—
678C4#123×D6112yes—
679C4C2×#41×D6112yes—
680C2—24no—
681C2—82no—
682C2—618no—
683C2—1224no—
684C2—4882no—
685C2#481×D6114yesdirect product factor
686C2C2×#123×D6111yescharacteristic
687C2C22×SD16×D6111yescharacteristic
688C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#481C2
socleC23×C61C22×D4
prime radicalC2×#121×D61C2
hypercenterC2×#481D61
hypocenterC61C22×#481
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#481

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D61C2semidirect
3. C2×#16840082C2semidirect
4. C2×#16840081C2semidirect
5. C2×#16840080C2semidirect
6. C2×#16840079C2semidirect
7. C2×#16840078C2semidirect
8. #481×D61C2direct (N × H)
9. C2×#106×D61C2semidirect
10. C2×#102×D61C2semidirect
11. C2×C22⋊C8×D61C2semidirect
12. C2×C61×#481C2semidirect
25. C22×C4⋊Dic61C22semidirect
32. C2×C4⋊C4×D61C22semidirect
33. C2×C4⋊C4×D61C22semidirect
35. #16840082C22semidirect
36. #16840081C22semidirect
37. #16840080C22semidirect
38. #16840079C22semidirect
39. #16840078C22semidirect
40. C2×#14519709C22semidirect
41. C2×#14519708C22semidirect
42. C2×#14519708C22semidirect
43. #106×D61C22semidirect
44. C2×#14519699C22semidirect
45. C2×#14519698C22semidirect
46. C2×#14519697C22semidirect
47. #102×D61C22semidirect
48. C2×C22⋊#92418C22semidirect
49. C2×#14519689C22semidirect
50. C22⋊C8×D61C22semidirect
52. C22×C4⋊C4×C61C22semidirect
53. C61×#481C22semidirect
54. C2×#106×C61C22semidirect
55. C2×#102×C61C22semidirect
56. C2×C22⋊C8×C61C22semidirect
98. C2×C4⋊Dic61C23semidirect
110. C4⋊C4×D61C23semidirect
115. #14519709C23semidirect
116. #14519708C23semidirect
117. #14519708C23semidirect
118. #14519699C23semidirect
119. #14519698C23semidirect
120. #14519697C23semidirect
121. C22⋊#92418C23semidirect
122. #14519689C23semidirect
134. C2×C4⋊C4×C61C23semidirect
136. #106×C61C23semidirect
137. #102×C61C23semidirect
138. C22⋊C8×C61C23semidirect
322. C2×D61#481direct (N × H)
344. C2×#481D61direct (N × H)
350. C2×C61C2×#481semidirect
356. D61C2×#481direct (N × H)
379. C22×C4⋊C4C2×D61semidirect
386. #481C2×D61direct (N × H)
391. C2×#106C2×D61semidirect
396. C2×#102C2×D61semidirect
400. C2×C22⋊C8C2×D61semidirect
401. C61C22×#481semidirect
467. C2×C4⋊C4C22×D61semidirect
476. #106C22×D61semidirect
480. #102C22×D61semidirect
483. C22⋊C8C22×D61semidirect
685. C2#481×D61direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#121×D612
C22×C4⋊C4×D612
C2×#168400822
C2×#168400812
C2×#168400802
C2×#168400792
C2×#168400782
#481×D612
C2×#106×D612
C2×#102×D612
C2×C22⋊C8×D612
C2×C61×#4812
C22×#48161