Finite Group Databasebeta

← #29711137

Subgroups — #29711137

Order 15616.

1956 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11758201C211yesmaximal, characteristic, complemented
2C2×#16839907C212yesmaximal, complemented
3C2×#16839895C211yesmaximal, characteristic, complemented
4#21449175C211yesmaximal, characteristic, complemented
5#21446896C212yesmaximal, complemented
6#21446820C212yesmaximal, complemented
7#21446248C211yesmaximal, characteristic, complemented
8#21446174C212yesmaximal, complemented
9#21446112C211yesmaximal, characteristic, complemented
10#21445754C211yesmaximal, characteristic, complemented
11C2×C61×#548C211yesmaximal, characteristic, complemented
12C23×D244C2211yescharacteristic
13C22×#11758201—28no—
14C22×#11758201—24no—
15C22×#11758201C2212yes—
16C22×#11758201C2212yes—
17C22×#11758199C2212yes—
18C23×#92418C2211yescharacteristic
19C2×#14519751C2212yes—
20C2×#14519745—21no—
21#16839907—28no—
22#16839895—24no—
23C2×#14519701C2212yescomplemented
24C2×#14519701C2212yescomplemented
25C2×#14519698C2212yescomplemented
26C2×#14519697C2212yes—
27C2×C22⋊#92418C2211yescharacteristic
28C2×C22⋊#92418C2212yescomplemented
29#16839679—21no—
30#16839671—21no—
31#16839664C2212yes—
32#16839622C2211yescharacteristic
33#16839617—21no—
34#16839524C2212yescomplemented
35#16839517C2212yescomplemented
36C22×#41×C61C2211yescharacteristic, complemented
37C23×Q8×C61C2211yescharacteristic
38C61×#548—24no—
39C61×#548—24no—
40C2×#124×C61—21no—
41C2×#124×C61C2211yescharacteristic, complemented
42C2×C22⋊Q8×C61—21no—
43C2×C22⋊Q8×C61C2211yescharacteristic, complemented
44C2×#121×C61—21no—
45C2×#121×C61C2211yescharacteristic
46C2×C4×Q8×C61C2211yescharacteristic, complemented
47C2×C4×D4×C61—21no—
48C2×C4×D4×C61C2211yescharacteristic
49C24×D61—21no—
50C22×D244—22no—
51C22×D244—24no—
52C22×D244—22no—
53C22×D244—21no—
54C22×D244—42no—
55C22×D244C2312yes—
56C22×C22⋊D61—22no—
57C2×#11758201—232no—
58C2×#11758201—24no—
59C2×#11758201—24no—
60C2×#11758201—24no—
61C2×#11758201—24no—
62C2×#11758201—24no—
63C2×#11758201D418yescomplemented
64C2×#11758199—24no—
65C2×#11758199—24no—
66C2×#11758199—42no—
67C22×#92418—22no—
68C22×#92418—24no—
69C22×#92418C2312yes—
70C22×#92418C2312yes—
71#14519751—24no—
72#14519751—42no—
73#14519745—44no—
74C2×C4⋊Dic61C2312yes—
75C2×C22⋊Dic61—21no—
76C2×#11758198—22no—
77C2×#11758198—22no—
78C2×#11758198—22no—
79#14519701—24no—
80#14519701—42no—
81#14519698—24no—
82#14519697—24no—
83C22⋊#92418—22no—
84C22⋊#92418—24no—
85#14519684—21no—
86C2×#41×C61—22no—
87C2×#41×C61—22no—
88C2×#41×C61—24no—
89C2×#41×C61—42no—
90C22×Q8×C61—22no—
91C22×Q8×C61—21no—
92C22×Q8×C61—24no—
93C22×Q8×C61—42no—
94C22×Q8×C61D414yescomplemented
95C22×Q8×C61C2311yescharacteristic
96C22×Q8×C61C2311yescharacteristic
97C22×D4×C61—21no—
98C22×D4×C61—21no—
99C22×D4×C61D411yescharacteristic
100C22×D4×C61C2311yescharacteristic
101C23×C4×C61—21no—
102C23×C4×C61—21no—
103C23×C4×C61C2311yescharacteristic
104C23×C4×C61C2311yescharacteristic
105#124×C61—28no—
106#124×C61—22no—
107#124×C61—22no—
108C22⋊Q8×C61—28no—
109C22⋊Q8×C61—22no—
110C22⋊Q8×C61—22no—
111#121×C61—28no—
112#121×C61—22no—
113#121×C61D414yescomplemented
114C4×Q8×C61—22no—
115C4×Q8×C61—22no—
116C4×D4×C61—28no—
117C4×D4×C61—22no—
118C4×D4×C61—22no—
119C2×C4⋊C4×C61—21no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61D411yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C42×C61—21no—
130C2×C42×C61C2311yescharacteristic
131C24×C61—21no—
132C24×C61C2×D411yescharacteristic
133C24×C61C2×D411yescharacteristic
134C23×D61—22no—
135C23×D61—44no—
136C23×D61—42no—
137C23×D61—42no—
138C23×D61—42no—
139C23×D61—82no—
140#41×C61—48no—
141#41×C61—44no—
142#41×C61—44no—
143C2×Q8×C61—24no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—22no—
147C2×Q8×C61—28no—
148C2×Q8×C61—22no—
149C2×Q8×C61—22no—
150C2×Q8×C61—44no—
151C2×Q8×C61—44no—
152C2×Q8×C61—48no—
153C2×Q8×C61C2×D412yes—
154C2×Q8×C61C2×D414yes—
155C2×Q8×C61C2×D412yes—
156C2×D4×C61—24no—
157C2×D4×C61—22no—
158C2×D4×C61—24no—
159C2×D4×C61—22no—
160C2×D4×C61—22no—
161C2×D4×C61—22no—
162C2×D4×C61—21no—
163C2×D4×C61—22no—
164C2×D4×C61—44no—
165C2×D4×C61—42no—
166C2×D4×C61—42no—
167C2×D4×C61C2×D412yes—
168C22×C4×C61—21no—
169C22×C4×C61—22no—
170C22×C4×C61—22no—
171C22×C4×C61—24no—
172C22×C4×C61—24no—
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—22no—
178C22×C4×C61—22no—
179C22×C4×C61—44no—
180C22×C4×C61—44no—
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61C2×D411yescharacteristic
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61C2×D412yes—
186C22×C4×C61C2×D412yes—
187C22×C4×C61C2411yescharacteristic
188C2×C22⋊D61—44no—
189C2×C22⋊D61—44no—
190C2×C22⋊D61—82no—
191C22×Dic61—22no—
192C2×D244—28no—
193C2×D244—22no—
194C2×D244—22no—
195C2×D244—22no—
196C2×D244—22no—
197C2×D244—22no—
198C2×D244—48no—
199C2×D244—44no—
200C2×D244—44no—
201C2×D244—42no—
202C2×D244C2×D414yes—
203C4⋊C4×C61—24no—
204C4⋊C4×C61—24no—
205C4⋊C4×C61—22no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61C2×D412yes—
208C22⋊C4×C61—24no—
209C22⋊C4×C61—24no—
210C22⋊C4×C61—24no—
211C22⋊C4×C61—22no—
212C22⋊C4×C61—24no—
213C22⋊C4×C61—22no—
214C42×C61—24no—
215C42×C61—21no—
216C42×C61—21no—
217C22⋊Dic61—42no—
218#11758201—216no—
219#11758201—216no—
220#11758199—48no—
221#11758198—44no—
222#11758198—44no—
223#11758198—82no—
224C4⋊Dic61—22no—
225C4⋊Dic61—22no—
226C2×#92418—28no—
227C2×#92418—22no—
228C2×#92418—22no—
229C2×#92418—22no—
230C2×#92418—22no—
231C2×#92418—22no—
232C2×#92418C2×D414yes—
233C23×C61—22no—
234C23×C61—22no—
235C23×C61—21no—
236C23×C61—22no—
237C23×C61—22no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—22no—
241C23×C61—42no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—42no—
245C23×C61#12012yes—
246C23×C61#13512yes—
247C23×C61AGL(1,ℤ/8)12yes—
248C23×C61C22×D411yescharacteristic
249C22×D61—24no—
250C22×D61—48no—
251C22×D61—42no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61—42no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—88no—
258C22×D61—88no—
259C22×D61—84no—
260C22×D61—84no—
261Q8×C61—22no—
262Q8×C61—24no—
263Q8×C61—22no—
264Q8×C61—22no—
265Q8×C61—48no—
266Q8×C61—42no—
267Q8×C61#12014yescomplemented
268D4×C61—24no—
269D4×C61—48no—
270D4×C61—44no—
271D4×C61—48no—
272D4×C61—41no—
273D4×C61—41no—
274C2×C4×C61—22no—
275C2×C4×C61—22no—
276C2×C4×C61—24no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—24no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—21no—
285C2×C4×C61—22no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61—22no—
289C2×C4×C61—48no—
290C2×C4×C61—48no—
291C2×C4×C61—42no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—42no—
297C2×C4×C61#12012yes—
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C22×D412yes—
300C2×C4×C61C22×D411yescharacteristic
301C2×C4×C61H(5,𝔽2)12yes—
302C22⋊D61—88no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306D244—24no—
307D244—24no—
308D244—48no—
309D244—42no—
310D244—42no—
311#92418—24no—
312#92418—42no—
313#23858—611nomaximal, Sylow
314C22×C61—22no—
315C22×C61—24no—
316C22×C61—22no—
317C22×C61—24no—
318C22×C61—42no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—41no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—82no—
327C22×C61—82no—
328C22×C61#44914yescomplemented
329C22×C61C2×#12011yescharacteristic
330C22×C61D4212yes—
331C22×C61C2×#13511yescharacteristic
332C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C61#57712yes—
334C2×D61—44no—
335C2×D61—44no—
336C2×D61—44no—
337C2×D61—816no—
338C2×D61—82no—
339C2×D61—82no—
340C2×D61—82no—
341C2×D61—82no—
342C4×C61—22no—
343C4×C61—24no—
344C4×C61—41no—
345C4×C61—42no—
346C4×C61—41no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61C2×#12011yescharacteristic
350C4×C61#53411yescharacteristic
351C4×C61D4212yes—
352Dic61—82no—
353C23×SD16—611no—
354C2×#548D6111yescharacteristic, complemented
355C2×#449—612no—
356C2×#447—611no—
357#2408—611no—
358#2012—612no—
359#2000—612no—
360#1893—611no—
361#1880—612no—
362#1869—611no—
363#1787—611no—
364C2×C61—24no—
365C2×C61—81no—
366C2×C61—82no—
367C2×C61#240311yescharacteristic
368C2×C61C2×#44911yescharacteristic
369C2×C61#301011yescharacteristic
370C2×C61#326512yes—
371C2×C61#328212yes—
372D61—84no—
373C22×#41C2×D6111yescharacteristic, complemented
374C23×Q8C2×D6111yescharacteristic
375C23×D4—611no—
376C22×SD16—612no—
377C22×SD16—612no—
378C22×SD16—1228no—
379C22×SD16—1224no—
380C22×D8—612no—
381C23×C8—611no—
382#548—24no—
383#548—24no—
384C2×#124—21no—
385C2×#124C2×D6111yescharacteristic, complemented
386C2×C22⋊Q8—21no—
387C2×C22⋊Q8C2×D6111yescharacteristic, complemented
388C2×#121—21no—
389C2×#121—612no—
390C2×#121C2×D6111yescharacteristic
391C2×#120—1221no—
392C2×C4×Q8C2×D6111yescharacteristic, complemented
393C2×C4×D4—21no—
394C2×C4×D4C2×D6111yescharacteristic
395#449—1228no—
396#447—1224no—
397C2×#103—612no—
398C2×#103—612no—
399C2×#102—612no—
400C2×#102—612no—
401C2×C22⋊C8—611no—
402C2×C22⋊C8—612no—
403#394—1221no—
404#392—1221no—
405#390—612no—
406#380—611no—
407#379—1221no—
408#340—612no—
409#336—612no—
410C61#2385811yescharacteristic, complemented, Sylow
411C25—1221no—
412C2×#41—22no—
413C2×#41—22no—
414C2×#41—24no—
415C2×#41—42no—
416C22×Q8—21no—
417C22×Q8—22no—
418C22×Q8—24no—
419C22×Q8—42no—
420C22×Q8C22⋊D6114yescomplemented
421C22×Q8C22×D6111yescharacteristic
422C22×Q8C22×D6111yescharacteristic
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—612no—
426C22×D4—1224no—
427C22×D4—1222no—
428C22×D4—1222no—
429C22×D4—1222no—
430C22×D4—1221no—
431C22×D4—2442no—
432C22×D4C22⋊D6111yescharacteristic
433C22×D4C22×D6111yescharacteristic
434C23×C4—21no—
435C23×C4—21no—
436C23×C4C22×D6111yescharacteristic
437C23×C4C22×D6111yescharacteristic
438C2×SD16—618no—
439C2×SD16—1224no—
440C2×SD16—1224no—
441C2×SD16—12232no—
442C2×SD16—1224no—
443C2×SD16—1224no—
444C2×SD16—1224no—
445C2×D8—1224no—
446C2×D8—1224no—
447C2×D8—2442no—
448C22×C8—612no—
449C22×C8—612no—
450C22×C8—1224no—
451C22×C8—1222no—
452#124—28no—
453#124—22no—
454#124—22no—
455C22⋊Q8—28no—
456C22⋊Q8—22no—
457C22⋊Q8—22no—
458#121—28no—
459#121—22no—
460#121—1224no—
461#121—2442no—
462#121C22⋊D6114yescomplemented
463#120—2444no—
464C4×Q8—22no—
465C4×Q8—22no—
466C4×D4—28no—
467C4×D4—22no—
468C4×D4—22no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—612no—
472C2×C4⋊C4C22⋊D6111yescharacteristic
473C2×C4⋊C4C22×D6111yescharacteristic
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—1222no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1222no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4C22⋊D6111yescharacteristic
483C2×C22⋊C4C22⋊D6111yescharacteristic
484C2×C42—21no—
485C2×C42C22×D6111yescharacteristic
486#103—1224no—
487#103—2442no—
488#102—1224no—
489#102—1224no—
490C22⋊C8—1224no—
491C22⋊C8—1222no—
492#95—1221no—
493C24—21no—
494C24—1222no—
495C24—4882no—
496C24—2444no—
497C24—2442no—
498C24—2442no—
499C24—2442no—
500C24C2×C22⋊D6111yescharacteristic
501C24C2×C22⋊D6111yescharacteristic
502#41—48no—
503#41—44no—
504#41—44no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—22no—
508C2×Q8—24no—
509C2×Q8—28no—
510C2×Q8—22no—
511C2×Q8—22no—
512C2×Q8—44no—
513C2×Q8—44no—
514C2×Q8—48no—
515C2×Q8D4×D6114yes—
516C2×Q8C2×C22⋊D6112yes—
517C2×Q8C2×C22⋊D6112yes—
518C2×D4—24no—
519C2×D4—22no—
520C2×D4—24no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—22no—
526C2×D4—44no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—614no—
530C2×D4—1228no—
531C2×D4—1222no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—4882no—
537C2×D4—2448no—
538C2×D4—2444no—
539C2×D4—2444no—
540C2×D4—2444no—
541C2×D4—2444no—
542C2×D4—2442no—
543C2×D4C2×C22⋊D6112yes—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—24no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—24no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—22no—
555C22×C4—44no—
556C22×C4—44no—
557C22×C4—1222no—
558C22×C4C2×C22⋊D6111yescharacteristic
559C22×C4C2×C22⋊D6111yescharacteristic
560C22×C4C2×C22⋊D6111yescharacteristic
561C22×C4C2×C22⋊D6112yes—
562C22×C4C2×C22⋊D6112yes—
563C22×C4C2×C22⋊D6111yescharacteristic
564C22×C4C23×D6111yescharacteristic
565SD16—12216no—
566SD16—12216no—
567D8—2448no—
568C2×C8—614no—
569C2×C8—1228no—
570C2×C8—1222no—
571C2×C8—1222no—
572C2×C8—1222no—
573C2×C8—1222no—
574C2×C8—1222no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—22no—
579C4⋊C4—1222no—
580C4⋊C4—1222no—
581C4⋊C4C2×C22⋊D6112yes—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—24no—
587C22⋊C4—22no—
588C22⋊C4—4882no—
589C22⋊C4—2444no—
590C22⋊C4—2444no—
591C22⋊C4—2442no—
592C42—24no—
593C42—21no—
594C42—21no—
595C23—22no—
596C23—22no—
597C23—21no—
598C23—22no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—1224no—
608C23—4884no—
609C23—4888no—
610C23—4888no—
611C23—4884no—
612C23—2448no—
613C23—2442no—
614C23—2442no—
615C23—2442no—
616C23—2442no—
617C23—2442no—
618C23—2442no—
619C23#1451974612yes—
620C23#1451979712yes—
621C23#1451980212yes—
622C23C22×C22⋊D6111yescharacteristic
623Q8—22no—
624Q8—24no—
625Q8—22no—
626Q8—22no—
627Q8—48no—
628Q8—42no—
629Q8#1451974514yescomplemented
630D4—24no—
631D4—48no—
632D4—44no—
633D4—48no—
634D4—41no—
635D4—41no—
636D4—1224no—
637D4—1224no—
638D4—4888no—
639D4—2448no—
640D4—2442no—
641D4—2442no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—48no—
658C2×C4—48no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4#1451974612yes—
669C2×C4C2×D4×D6112yes—
670C2×C4C22×C22⋊D6111yescharacteristic
671C2×C4C22×C22⋊D6111yescharacteristic
672C2×C4#1451982212yes—
673C8—1224no—
674C8—2442no—
675C22—22no—
676C22—24no—
677C22—24no—
678C22—22no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—82no—
688C22—82no—
689C22—48816no—
690C22—4882no—
691C22—4882no—
692C22—4882no—
693C22—4882no—
694C22—2444no—
695C22—2444no—
696C22—2444no—
697C22#1683990714yescomplemented
698C22C2×#1451974611yescharacteristic
699C22D4×C22⋊D6112yes—
700C22C2×#1451979711yescharacteristic
701C22C2×#1451980211yescharacteristic
702C22#1684057012yes—
703C4—22no—
704C4—24no—
705C4—41no—
706C4—41no—
707C4—42no—
708C4—41no—
709C4—42no—
710C4—4882no—
711C4C2×#1451974511yescharacteristic
712C4#1684032111yescharacteristic
713C4D4×C22⋊D6112yes—
714C2—24no—
715C2—81no—
716C2—82no—
717C2—4884no—
718C2#2144912911yescharacteristic
719C2C2×#1683990711yescharacteristic
720C2#2145510511yescharacteristic
721C2#2145731512yes—
722C2#2145752712yes—
subgroupG/H
centerC23C22×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#548C2
socleC23×C61C22×D4
hypercenterC2×#548D61
hypocenterC61#23858
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C23×#11758201C2semidirect
2. C2×#16839907C2semidirect
3. C2×#16839895C2semidirect
4. #21449175C2semidirect
5. #21446896C2semidirect
6. #21446820C2semidirect
7. #21446248C2semidirect
8. #21446174C2semidirect
9. #21446112C2semidirect
10. #21445754C2semidirect
11. C2×C61×#548C2semidirect
23. C2×#14519701C22semidirect
24. C2×#14519701C22semidirect
25. C2×#14519698C22semidirect
28. C2×C22⋊#92418C22semidirect
34. #16839524C22semidirect
35. #16839517C22semidirect
36. C22×#41×C61C22semidirect
41. C2×#124×C61C22semidirect
43. C2×C22⋊Q8×C61C22semidirect
46. C2×C4×Q8×C61C22semidirect
63. C2×#11758201D4semidirect
94. C22×Q8×C61D4semidirect
113. #121×C61D4semidirect
267. Q8×C61#120semidirect
328. C22×C61#449semidirect
354. C2×#548D61semidirect
373. C22×#41C2×D61semidirect
385. C2×#124C2×D61semidirect
387. C2×C22⋊Q8C2×D61semidirect
392. C2×C4×Q8C2×D61semidirect
410. C61#23858semidirect
420. C22×Q8C22⋊D61semidirect
462. #121C22⋊D61semidirect
629. Q8#14519745semidirect
697. C22#16839907semidirect

Maximal subgroups

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

subgroupindex
C23×#117582012
C2×#168399072
C2×#168398952
#214491752
#214468962
#214468202
#214462482
#214461742
#214461122
#214457542
C2×C61×#5482
#2385861