Finite Group Databasebeta

← #29679489

Subgroups — #29679489

Order 15616.

1882 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D61C211yesmaximal, characteristic
2C2×#16839784C211yesmaximal, characteristic, complemented
3C2×#16839765C212yesmaximal
4#21448224C211yesmaximal, characteristic, complemented
5#21445828C212yesmaximal, complemented
6#21445827C212yesmaximal, complemented
7#21445820C211yesmaximal, characteristic, complemented
8#21445819C211yesmaximal, characteristic, complemented
9#21445816C211yesmaximal, characteristic, complemented
10#21445537C212yesmaximal, complemented
11C61×#1802C211yesmaximal, characteristic, complemented
12C22×D4×D61C2211yescharacteristic
13C23×C4×D61—21no—
14C22×#11758189C2212yes—
15C2×C4×D244C2211yescharacteristic
16C2×D4×Dic61C2211yescharacteristic
17C2×#14519739C2211yescharacteristic
18C2×C4×C22⋊D61—21no—
19C2×#14519737—21no—
20C4×D4×D61—24no—
21C4×D4×D61C418yescomplemented
22C2×#14519735C2212yes—
23C2×C4⋊C4×D61C2211yescharacteristic
24C2×C22⋊C4×D61—21no—
25C2×C42×D61C2211yescharacteristic
26#16839784—24no—
27C2×C4⋊#92418C2211yescharacteristic, complemented
28C2×#14519706C2212yescomplemented
29#16839765—28no—
30C2×#14519699C2212yes—
31C2×#14519698C2212yes—
32C2×#14519697C2212yes—
33#16839632C2211yescharacteristic, complemented
34#16839627C2212yescomplemented
35#16839619—21no—
36#16839619—21no—
37C4⋊C4×Dic61—21no—
38C4⋊C4×Dic61—21no—
39#16839525C2212yescomplemented
40#16839524C2212yescomplemented
41#16839524C2212yescomplemented
42C2×C4×D4×C61C2211yescharacteristic
43C2×C4⋊C8×C61C2211yescharacteristic, complemented
44C2×#102×C61C2212yes—
45C61×#384C2211yescharacteristic, complemented
46C61×#340C2212yescomplemented
47C24×D61—21no—
48C22×D244C2311yescharacteristic
49C22×C22⋊D61—21no—
50C2×D4×D61—22no—
51C2×D4×D61—22no—
52C2×D4×D61—22no—
53C2×D4×D61C2×C414yes—
54C2×D4×D61D414yes—
55C2×D4×D61Q814yes—
56C23×Dic61—21no—
57C22×C4×D61—21no—
58C22×C4×D61—21no—
59C22×C4×D61—21no—
60C22×C4×D61—28no—
61C22×C4×D61—44no—
62C22×C4×D61—44no—
63C22×C4×D61D411yescharacteristic
64C22×C4×D61D411yescharacteristic
65C22×C4×D61C2311yescharacteristic
66C2×#11758189—24no—
67C2×#11758189—24no—
68C2×#11758189—24no—
69C22×#92418C2312yes—
70C4×D244—22no—
71C4×D244C2×C414yes—
72D4×Dic61—22no—
73D4×Dic61C2×C414yes—
74#14519739—22no—
75#14519739C2×C414yes—
76C4×C22⋊D61—28no—
77#14519737—28no—
78#14519735—24no—
79#14519735—24no—
80C2×C4⋊Dic61—21no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61C2312yes—
83C2×C4⋊Dic61C2311yescharacteristic
84C2×#11758196—21no—
85C4⋊C4×D61—22no—
86C4⋊C4×D61C2×C414yes—
87C2×C22⋊Dic61—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—22no—
91C22⋊C4×D61—28no—
92C2×C4×Dic61—22no—
93C2×C4×Dic61D411yescharacteristic
94C2×C4×Dic61D411yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96C42×D61C2×C414yes—
97C42×D61D414yes—
98C4⋊#92418—22no—
99#14519706—24no—
100#14519699—24no—
101#14519698—24no—
102#14519697—24no—
103#14519684—22no—
104#14519684—22no—
105C22×D4×C61C2311yescharacteristic
106C23×C4×C61—21no—
107C22×C8×C61C2312yes—
108C4×D4×C61—22no—
109C4×D4×C61C2×C414yes—
110C2×C4⋊C4×C61—21no—
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61C2312yes—
113C2×C4⋊C4×C61C2311yescharacteristic
114C2×C22⋊C4×C61—21no—
115C2×C42×C61C2311yescharacteristic
116C4⋊C8×C61—22no—
117#102×C61—24no—
118C24×C61—21no—
119C23×D61—21no—
120C23×D61—24no—
121C23×D61—24no—
122C23×D61—24no—
123C23×D61—42no—
124C23×D61—42no—
125C23×D61—42no—
126C23×D61—42no—
127C23×D61C2×D411yescharacteristic
128C2×D4×C61—21no—
129C2×D4×C61—21no—
130C2×D4×C61—21no—
131C2×D4×C61C22×C412yes—
132C2×D4×C61C2×D412yes—
133C2×D4×C61C2×Q812yes—
134C22×C4×C61—21no—
135C22×C4×C61—24no—
136C22×C4×C61—22no—
137C22×C4×C61—42no—
138C22×C4×C61—42no—
139C22×C4×C61C2×D411yescharacteristic
140C22×C4×C61C2×D411yescharacteristic
141C22×C4×C61C2411yescharacteristic
142C2×C22⋊D61—24no—
143C2×C22⋊D61—24no—
144C2×C22⋊D61—24no—
145C22×Dic61—21no—
146C22×Dic61—24no—
147C22×Dic61—22no—
148C22×Dic61—42no—
149C22×Dic61—42no—
150C22×Dic61C2×D411yescharacteristic
151C22×Dic61C2×D411yescharacteristic
152C22×Dic61C2×D411yescharacteristic
153D4×D61—28no—
154D4×D61—28no—
155D4×D61—28no—
156D4×D61C4⋊C4116yescomplemented
157C2×D244—21no—
158C2×D244—21no—
159C2×D244—21no—
160C2×D244C22×C412yes—
161C2×D244C2×D412yes—
162C2×D244C2×Q812yes—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—24no—
166C2×C4×D61—24no—
167C2×C4×D61—24no—
168C2×C4×D61—432no—
169C2×C4×D61—41no—
170C2×C4×D61—41no—
171C2×C4×D61—42no—
172C2×C4×D61—42no—
173C2×C4×D61—42no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61C22⋊C414yes—
178C2×C4×D61C22⋊C414yes—
179C2×C4×D61C22×C412yes—
180C2×C4×D61C2×D412yes—
181C2×C4×D61C2×D412yes—
182C2×C4×D61C2×Q812yes—
183C2×C4×D61#4112yes—
184C2×C4×D61#4112yes—
185C2×C8×C61—22no—
186C2×C8×C61—22no—
187C2×C8×C61—22no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—22no—
190C4⋊C4×C61—22no—
191C4⋊C4×C61—42no—
192C4⋊C4×C61—42no—
193C4⋊C4×C61C22×C412yes—
194C22⋊C4×C61—24no—
195C42×C61C22×C412yes—
196C42×C61C2×D412yes—
197C22⋊Dic61—24no—
198#11758198—24no—
199#11758198—24no—
200#11758198—44no—
201C4⋊Dic61—21no—
202C4⋊Dic61—22no—
203C4⋊Dic61—22no—
204C4⋊Dic61—42no—
205C4⋊Dic61—42no—
206C4⋊Dic61C22×C412yes—
207#11758196—24no—
208C4×Dic61—44no—
209C4×Dic61C22⋊C414yes—
210C4×Dic61C22⋊C414yes—
211C4×Dic61C22×C412yes—
212C4×Dic61C2×D412yes—
213C2×#92418—22no—
214C2×#92418—22no—
215C2×#92418—22no—
216#11758189—48no—
217C23×C61—22no—
218C23×C61—22no—
219C23×C61—22no—
220C23×C61—41no—
221C23×C61—41no—
222C23×C61—41no—
223C23×C61—41no—
224C23×C61C22×D411yescharacteristic
225C22×D61—21no—
226C22×D61—21no—
227C22×D61—21no—
228C22×D61—21no—
229C22×D61—22no—
230C22×D61—22no—
231C22×D61—22no—
232C22×D61—216no—
233C22×D61—48no—
234C22×D61—48no—
235C22×D61—48no—
236C22×D61—48no—
237C22×D61—48no—
238C22×D61—48no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61C2×C22⋊C412yes—
244C22×D61#12112yes—
245C22×D61C22⋊Q812yes—
246D4×C61—22no—
247D4×C61—22no—
248D4×C61—22no—
249D4×C61C2×C4⋊C414yes—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—22no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—48no—
256C2×C4×C61—42no—
257C2×C4×C61—42no—
258C2×C4×C61—42no—
259C2×C4×C61C2×C22⋊C412yes—
260C2×C4×C61C2×C22⋊C412yes—
261C2×C4×C61AGL(1,ℤ/8)12yes—
262C2×C4×C61AGL(1,ℤ/8)12yes—
263C2×C4×C61C23×C411yescharacteristic
264C2×C4×C61C22×D411yescharacteristic
265C2×C4×C61C22×D411yescharacteristic
266C2×C4×C61C22×Q811yescharacteristic
267C2×C4×C61C2×#4111yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C22⋊D61—216no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—22no—
275C2×Dic61—48no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—42no—
279C2×Dic61—42no—
280C2×Dic61—42no—
281C2×Dic61C2×C22⋊C412yes—
282C2×Dic61C2×C22⋊C412yes—
283C2×Dic61C2×C22⋊C412yes—
284C2×Dic61#12112yes—
285C2×Dic61C22⋊Q812yes—
286D244—22no—
287D244—22no—
288D244—22no—
289D244C2×C4⋊C414yes—
290C4×D61—28no—
291C4×D61—44no—
292C4×D61—48no—
293C4×D61—48no—
294C4×D61—48no—
295C4×D61C2×C4⋊C414yes—
296C4×D61#11714yes—
297C4×D61#12114yes—
298C4×D61C22⋊Q814yes—
299C8×C61—42no—
300#92418—42no—
301#20646—611nomaximal, Sylow
302C22×C61—24no—
303C22×C61—42no—
304C22×C61—42no—
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61C22×C22⋊C411yescharacteristic
310C22×C61C2×#12111yescharacteristic
311C22×C61C2×C22⋊Q811yescharacteristic
312C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C61#57511yescharacteristic
315C22×C61#57511yescharacteristic
316C2×D61—22no—
317C2×D61—22no—
318C2×D61—22no—
319C2×D61—22no—
320C2×D61—22no—
321C2×D61—22no—
322C2×D61—24no—
323C2×D61—432no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—42no—
330C2×D61#38014yes—
331C4×C61—22no—
332C4×C61—42no—
333C4×C61—82no—
334C4×C61#41814yescomplemented
335C4×C61C22×C4⋊C411yescharacteristic
336C4×C61C2×#11711yescharacteristic
337C4×C61C2×#12111yescharacteristic
338C4×C61C2×C22⋊Q811yescharacteristic
339Dic61—22no—
340Dic61—22no—
341Dic61—42no—
342Dic61—82no—
343Dic61#38014yes—
344C22×C4×D4—611no—
345C2×#423—611no—
346C2×#418—612no—
347#2285—611no—
348#1804—612no—
349#1804—612no—
350#1802—611no—
351#1802—611no—
352#1802—611no—
353#1802D6111yescharacteristic, complemented
354#1736—612no—
355C2×C61—44no—
356C2×C61C2×#38011yescharacteristic
357C2×C61C2×#41811yescharacteristic
358C2×C61#289611yescharacteristic
359C2×C61#303611yescharacteristic
360C2×C61#303611yescharacteristic
361C2×C61#307711yescharacteristic
362C2×C61#307711yescharacteristic
363D61—24no—
364D61—44no—
365C23×D4—611no—
366C24×C4—1221no—
367C22×M16—612no—
368C2×C4×D4—611no—
369C2×C4×D4—618no—
370C2×C4×D4—611no—
371C2×C4×D4—611no—
372C2×C4×D4—1221no—
373C2×C4×D4—1224no—
374C2×C4×D4—1221no—
375C2×C4×D4C2×D6111yescharacteristic
376C2×#117—612no—
377C22×C4⋊C4—611no—
378C22×C22⋊C4—1221no—
379C22×C42—611no—
380#423—1224no—
381C2×C4⋊C8—612no—
382C2×C4⋊C8—611no—
383C2×C4⋊C8C2×D6111yescharacteristic, complemented
384#418—1228no—
385C2×#102—612no—
386C2×#102—612no—
387C2×#102—612no—
388C2×#102C2×D6112yes—
389#384—611no—
390#384C2×D6111yescharacteristic, complemented
391#382—612no—
392#380—1221no—
393#380—1221no—
394C4×C4⋊C4—1221no—
395C4×C4⋊C4—1221no—
396#340—612no—
397#340—612no—
398#340—612no—
399#340C2×D6112yescomplemented
400C61#2064611yescharacteristic, complemented, Sylow
401C25—1221no—
402C22×D4—614no—
403C22×D4—614no—
404C22×D4—614no—
405C22×D4—611no—
406C22×D4—1222no—
407C22×D4—1222no—
408C22×D4—1222no—
409C22×D4—1221no—
410C22×D4C22×D6111yescharacteristic
411C23×C4—21no—
412C23×C4—611no—
413C23×C4—611no—
414C23×C4—611no—
415C23×C4—1221no—
416C23×C4—1228no—
417C23×C4—1221no—
418C23×C4—1221no—
419C23×C4—1221no—
420C23×C4—2444no—
421C23×C4—2444no—
422C2×M16—1224no—
423C2×M16—1224no—
424C2×M16—1224no—
425C22×C8—612no—
426C22×C8C22×D6112yes—
427C4×D4—22no—
428C4×D4—614no—
429C4×D4—614no—
430C4×D4—614no—
431C4×D4—1228no—
432C4×D4—1222no—
433C4×D4—1228no—
434C4×D4—1222no—
435C4×D4—1222no—
436C4×D4C4×D6114yes—
437#117—1224no—
438#117—1224no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—614no—
443C2×C4⋊C4—612no—
444C2×C4⋊C4—1222no—
445C2×C4⋊C4—1221no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4C22×D6112yes—
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1228no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1222no—
456C2×C42—611no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—614no—
460C2×C42—614no—
461C2×C42—1222no—
462C2×C42C22×D6111yescharacteristic
463C4⋊C8—22no—
464C4⋊C8—1224no—
465C4⋊C8—1222no—
466#102—24no—
467#102—1224no—
468#102—1224no—
469#102—1224no—
470#95—1222no—
471#95—1222no—
472C24—21no—
473C24—611no—
474C24—1224no—
475C24—1224no—
476C24—1224no—
477C24—1221no—
478C24—2442no—
479C24—2442no—
480C24—2442no—
481C24—2442no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—6116no—
486C2×D4—612no—
487C2×D4—612no—
488C2×D4—612no—
489C2×D4—1228no—
490C2×D4—1228no—
491C2×D4—1228no—
492C2×D4—1224no—
493C2×D4—1224no—
494C2×D4—1224no—
495C2×D4—1221no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4C2×C4×D6112yes—
499C2×D4D4×D6112yes—
500C2×D4Q8×D6112yes—
501C22×C4—21no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—611no—
507C22×C4—612no—
508C22×C4—612no—
509C22×C4—612no—
510C22×C4—612no—
511C22×C4—612no—
512C22×C4—612no—
513C22×C4—611no—
514C22×C4—611no—
515C22×C4—614no—
516C22×C4—614no—
517C22×C4—1224no—
518C22×C4—1224no—
519C22×C4—1224no—
520C22×C4—1222no—
521C22×C4—1222no—
522C22×C4—1221no—
523C22×C4—1224no—
524C22×C4—1222no—
525C22×C4—2441no—
526C22×C4—2441no—
527C22×C4—2442no—
528C22×C4—2442no—
529C22×C4—24432no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4—2442no—
535C22×C4—2442no—
536C22×C4D4×D6111yescharacteristic
537C22×C4D4×D6111yescharacteristic
538C22×C4C23×D6111yescharacteristic
539M16—2448no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—1222no—
544C2×C8—1222no—
545C2×C8—1222no—
546C4⋊C4—21no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—612no—
552C4⋊C4—1224no—
553C4⋊C4—1221no—
554C4⋊C4—1222no—
555C4⋊C4—1222no—
556C4⋊C4—2442no—
557C4⋊C4—2442no—
558C4⋊C4C2×C4×D6112yes—
559C22⋊C4—24no—
560C22⋊C4—1224no—
561C22⋊C4—1224no—
562C22⋊C4—1224no—
563C22⋊C4—2444no—
564C42—612no—
565C42—612no—
566C42—614no—
567C42—614no—
568C42—2444no—
569C42C2×C4×D6112yes—
570C42D4×D6112yes—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—612no—
579C23—612no—
580C23—612no—
581C23—12216no—
582C23—1221no—
583C23—1221no—
584C23—1221no—
585C23—1221no—
586C23—1222no—
587C23—1222no—
588C23—1222no—
589C23—2448no—
590C23—2448no—
591C23—2448no—
592C23—2448no—
593C23—2448no—
594C23—2448no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23—2441no—
599C23C2×D4×D6111yescharacteristic
600D4—22no—
601D4—22no—
602D4—22no—
603D4—614no—
604D4—12216no—
605D4—1222no—
606D4—1222no—
607D4—1222no—
608D4C4⋊C4×D6114yes—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—48no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—612no—
619C2×C4—612no—
620C2×C4—612no—
621C2×C4—614no—
622C2×C4—614no—
623C2×C4—614no—
624C2×C4—614no—
625C2×C4—612no—
626C2×C4—612no—
627C2×C4—1221no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1228no—
632C2×C4—1222no—
633C2×C4—2444no—
634C2×C4—2448no—
635C2×C4—2448no—
636C2×C4—2448no—
637C2×C4—2442no—
638C2×C4—2442no—
639C2×C4—2442no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2448no—
643C2×C4C22⋊C4×D6112yes—
644C2×C4C22⋊C4×D6112yes—
645C2×C4#1451980112yes—
646C2×C4#1451980412yes—
647C2×C4C22×C4×D6111yescharacteristic
648C2×C4C2×D4×D6111yescharacteristic
649C2×C4C2×D4×D6111yescharacteristic
650C2×C4C2×Q8×D6111yescharacteristic
651C2×C4#41×D6111yescharacteristic
652C2×C4#41×D6111yescharacteristic
653C8—42no—
654C8—2442no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—614no—
663C22—1222no—
664C22—1222no—
665C22—1222no—
666C22—1222no—
667C22—1222no—
668C22—1222no—
669C22—1224no—
670C22—24432no—
671C22—2442no—
672C22—2442no—
673C22—2442no—
674C22—2442no—
675C22—2442no—
676C22—2442no—
677C22C2×C22⋊C4×D6111yescharacteristic
678C22#121×D6111yescharacteristic
679C22C22⋊Q8×D6111yescharacteristic
680C22C2×#1451980111yescharacteristic
681C22C2×#1451980411yescharacteristic
682C22#1684055811yescharacteristic
683C22#1684056111yescharacteristic
684C4—22no—
685C4—42no—
686C4—82no—
687C4—614no—
688C4—1222no—
689C4—1222no—
690C4—4882no—
691C4—2442no—
692C4#1683976514yescomplemented
693C4C2×C4⋊C4×D6111yescharacteristic
694C4#117×D6111yescharacteristic
695C4#121×D6111yescharacteristic
696C4C22⋊Q8×D6111yescharacteristic
697C2—44no—
698C2—1224no—
699C2—2444no—
700C2#380×D6111yescharacteristic
701C2C2×#1683976511yescharacteristic
702C2#2145433511yescharacteristic
703C2#2145527811yescharacteristic
704C2#2145528411yescharacteristic
705C2#2145561111yescharacteristic
706C2#2145561711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1802C2
socleC23×C61C22×D4
prime radicalC22×D4×D61C22
cosocleC22×C4×C61C24
hypercenter#1802D61
hypocenterC61#20646
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
2. C2×#16839784C2semidirect
4. #21448224C2semidirect
5. #21445828C2semidirect
6. #21445827C2semidirect
7. #21445820C2semidirect
8. #21445819C2semidirect
9. #21445816C2semidirect
10. #21445537C2semidirect
11. C61×#1802C2semidirect
21. C4×D4×D61C4semidirect
27. C2×C4⋊#92418C22semidirect
28. C2×#14519706C22semidirect
33. #16839632C22semidirect
34. #16839627C22semidirect
39. #16839525C22semidirect
40. #16839524C22semidirect
41. #16839524C22semidirect
43. C2×C4⋊C8×C61C22semidirect
45. C61×#384C22semidirect
46. C61×#340C22semidirect
156. D4×D61C4⋊C4semidirect
334. C4×C61#418semidirect
353. #1802D61semidirect
383. C2×C4⋊C8C2×D61semidirect
390. #384C2×D61semidirect
399. #340C2×D61semidirect
400. C61#20646semidirect
692. C4#16839765semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D612
C2×#168397842
C2×#168397652
#214482242
#214458282
#214458272
#214458202
#214458192
#214458162
#214455372
C61×#18022
#2064661