Finite Group Databasebeta

← D61×#1527 #29647912

Subgroups — D61×#1527 #29647912

Order 15616.

1394 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#124×D61C211yesmaximal, characteristic
2#432×D61C211yesmaximal, characteristic, complemented
3C4×M16×D61C211yesmaximal, characteristic, complemented
4#21444418C211yesmaximal, characteristic, complemented
5#21444417C211yesmaximal, characteristic, complemented
6#21444416C211yesmaximal, characteristic, complemented
7#21444415C214yesmaximal, complemented
8#329×D61C214yesmaximal, complemented
9C61×#1527C211yesmaximal, characteristic, complemented
10C22×Q8×D61C411yescharacteristic
11C22×D4×D61C411yescharacteristic
12C2×M16×D61—21no—
13C2×#14519766C411yescharacteristic
14C2×#14519765C2211yescharacteristic
15C2×#14519764C411yescharacteristic
16C2×#14519763—21no—
17C2×#14519763—21no—
18#124×D61—21no—
19#124×D61—21no—
20#124×D61—21no—
21#124×D61—21no—
22#124×D61C412yes—
23#124×D61C412yes—
24#124×D61C2212yes—
25#124×D61C2212yes—
26C2×C22⋊C4×D61—21no—
27C2×C22⋊C4×D61—21no—
28C2×C42×D61C2211yescharacteristic
29#16839819C2211yescharacteristic, complemented
30#16839818—21no—
31#16839817C2212yescomplemented
32#16839816—21no—
33C4⋊C8×D61—21no—
34C22⋊C8×D61—21no—
35C4×#11758194C2211yescharacteristic, complemented
36#16839714C2212yescomplemented
37M16×Dic61—21no—
38C4×#11758189—21no—
39#97×D61C2212yescomplemented
40#97×D61C2212yescomplemented
41C4×C8×D61—21no—
42#16839502C2214yescomplemented
43#16839501C2214yescomplemented
44#16839501C2214yescomplemented
45C2×#124×C61C2211yescharacteristic
46C61×#432C2211yescharacteristic, complemented
47C4×M16×C61C2211yescharacteristic, complemented
48C61×#329C2214yescomplemented
49C24×D61—21no—
50C22×Dic122—21no—
51C22×Dic122C2×C411yescharacteristic
52C2×Q8×D61—21no—
53C2×Q8×D61—21no—
54C2×Q8×D61—44no—
55C2×Q8×D61C2×C412yes—
56C2×Q8×D61C2×C412yes—
57C22×D244C2×C411yescharacteristic
58C22×C22⋊D61—21no—
59C2×D4×D61—21no—
60C2×D4×D61—21no—
61C2×D4×D61—44no—
62C2×D4×D61C2×C412yes—
63C2×D4×D61C2×C412yes—
64C22×C4×D61—21no—
65C22×C4×D61C2×C411yescharacteristic
66C22×C4×D61D411yescharacteristic
67C22×C4×D61D411yescharacteristic
68C2×#11758194—21no—
69C2×#11758189—22no—
70M16×D61—28no—
71C2×C8×D61—22no—
72C2×C8×D61—22no—
73#14519766—21no—
74#14519766—21no—
75#14519766C2×C412yes—
76#14519766C2×C412yes—
77#14519765—21no—
78#14519765—21no—
79#14519765C2×C412yes—
80#14519765C2312yes—
81#14519764—21no—
82#14519764—21no—
83#14519764C2×C412yes—
84#14519764C2×C412yes—
85#14519763—22no—
86#14519763—22no—
87#14519763—22no—
88#14519763—22no—
89#14519763—22no—
90#14519763—22no—
91#14519763—22no—
92#14519763—22no—
93C2×C22⋊Dic61—21no—
94C2×C22⋊Dic61—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C22⋊C4×D61—22no—
100C22⋊C4×D61—22no—
101C22⋊C4×D61—22no—
102C22⋊C4×D61—22no—
103C22⋊C4×D61—22no—
104C22⋊C4×D61—22no—
105C22⋊C4×D61—22no—
106C22⋊C4×D61—22no—
107C2×C4×Dic61C2×C411yescharacteristic
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61D411yescharacteristic
110C42×D61C2×C411yescharacteristic
111C42×D61C2×C411yescharacteristic
112C42×D61D411yescharacteristic
113C42×D61D411yescharacteristic
114C42×D61D411yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61C2311yescharacteristic
117C42×D61C2311yescharacteristic
118C4⋊#92418—21no—
119#14519706—22no—
120C22⋊#92418—21no—
121#14519689—22no—
122#14519688C2312yescomplemented
123#14519688C2312yescomplemented
124#14519687—22no—
125#14519687—22no—
126C4×#92418—21no—
127C8×Dic61—22no—
128C22×Q8×C61C2×C411yescharacteristic
129C22×D4×C61C2×C411yescharacteristic
130C2×M16×C61—21no—
131#124×C61—21no—
132#124×C61—21no—
133#124×C61C2×C412yes—
134#124×C61C2312yes—
135C2×C22⋊C4×C61—21no—
136C2×C22⋊C4×C61—21no—
137C2×C42×C61C2311yescharacteristic
138C4⋊C8×C61—21no—
139C22⋊C8×C61—21no—
140#97×C61C2312yescomplemented
141#97×C61C2312yescomplemented
142C4×C8×C61—21no—
143C24×C61—21no—
144C23×D61—21no—
145C23×D61—22no—
146C23×D61—22no—
147C23×D61—44no—
148C23×D61—44no—
149C23×D61—44no—
150C23×D61C22⋊C411yescharacteristic
151C2×Q8×C61—21no—
152C2×Q8×C61—42no—
153C2×Q8×C61C22×C412yes—
154C2×D4×C61—21no—
155C2×D4×C61—42no—
156C2×D4×C61C22×C412yes—
157C22×C4×C61—21no—
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—44no—
164C22×Dic61—21no—
165C22×Dic61C22⋊C411yescharacteristic
166C22×Dic61C22⋊C411yescharacteristic
167C22×Dic61C22⋊C411yescharacteristic
168Q8×D61—44no—
169Q8×D61—44no—
170Q8×D61—44no—
171Q8×D61—44no—
172D4×D61—44no—
173D4×D61—44no—
174D4×D61—44no—
175D4×D61—44no—
176C2×D244—21no—
177C2×D244—42no—
178C2×D244C22×C412yes—
179C2×C4×D61—24no—
180C2×C4×D61—24no—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—42no—
184C2×C4×D61—44no—
185C2×C4×D61C22⋊C411yescharacteristic
186C2×C4×D61C22⋊C411yescharacteristic
187C2×C4×D61C22⋊C411yescharacteristic
188C2×C4×D61C22⋊C411yescharacteristic
189C2×C4×D61C22⋊C411yescharacteristic
190C2×C4×D61C22⋊C411yescharacteristic
191C2×C4×D61C22×C411yescharacteristic
192C2×C4×D61C22×C411yescharacteristic
193C2×C4×D61C2×D411yescharacteristic
194C2×C4×D61C2×D411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×C4×D61C2×D411yescharacteristic
197C2×Dic122—21no—
198C2×Dic122—22no—
199C2×Dic122—22no—
200C2×Dic122—44no—
201C2×Dic122—42no—
202C2×Dic122C22×C412yes—
203M16×C61—24no—
204C2×C8×C61—22no—
205C2×C8×C61—22no—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—22no—
209C22⋊C4×C61—22no—
210C42×C61C22×C411yescharacteristic
211C42×C61C2×D411yescharacteristic
212C42×C61C2×D411yescharacteristic
213C42×C61C2411yescharacteristic
214C22⋊Dic61—22no—
215C22⋊Dic61—22no—
216C22⋊Dic61—22no—
217C22⋊Dic61—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222#11758198—22no—
223#11758198—22no—
224#11758198—22no—
225#11758198—22no—
226C4×Dic61C22⋊C411yescharacteristic
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C411yescharacteristic
232C4×Dic61C22×C411yescharacteristic
233C4×Dic61C22×C411yescharacteristic
234C4×Dic61C2×D411yescharacteristic
235C4×Dic61C2×D411yescharacteristic
236C4×Dic61C2×D411yescharacteristic
237C4×Dic61C2×D411yescharacteristic
238#11758194—24no—
239C2×#92418—22no—
240C2×#92418—22no—
241#11758189—28no—
242C8×D61—28no—
243C8×D61—44no—
244C23×C61—22no—
245C23×C61—42no—
246C23×C61—42no—
247C23×C61—42no—
248C23×C61C2×C22⋊C411yescharacteristic
249C22×D61—22no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—44no—
253C22×D61—44no—
254C22×D61—42no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—44no—
258C22×D61—44no—
259C22×D61—44no—
260C22×D61—44no—
261C22×D61—816no—
262C22×D61#10414yes—
263C22×D61C2×C22⋊C411yescharacteristic
264C22×D61C2×C22⋊C411yescharacteristic
265Q8×C61—42no—
266Q8×C61—42no—
267D4×C61—42no—
268D4×C61—42no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—41no—
273C2×C4×C61—42no—
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C23×C411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C22⋊D61—44no—
281C22⋊D61—44no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—41no—
286C2×Dic61—42no—
287C2×Dic61C2×C22⋊C411yescharacteristic
288C2×Dic61C2×C22⋊C411yescharacteristic
289C2×Dic61C2×C22⋊C411yescharacteristic
290C2×Dic61C2×C22⋊C411yescharacteristic
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293D244—42no—
294D244—42no—
295C4×D61—22no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—44no—
307C4×D61—44no—
308C4×D61#10014yes—
309Dic122—44no—
310Dic122—42no—
311Dic122—44no—
312Dic122—42no—
313C8×C61—24no—
314C8×C61—42no—
315#92418—24no—
316#92418—42no—
317C2×#1527—611nomaximal, Sylow
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—84no—
324C22×C61C2×#10412yes—
325C22×C61C22×C22⋊C411yescharacteristic
326C2×D61—21no—
327C2×D61—21no—
328C2×D61—28no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—42no—
332C2×D61—88no—
333C2×D61—84no—
334C2×D61—88no—
335C2×D61C2×#10012yes—
336C2×D61C2×#10412yes—
337C2×D61C2×#10412yes—
338C2×D61#42112yes—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—21no—
344C4×C61—42no—
345C4×C61C2×#10012yes—
346Dic61—21no—
347Dic61—21no—
348Dic61—21no—
349Dic61—21no—
350Dic61—21no—
351Dic61—42no—
352Dic61C2×#10012yes—
353C22×#124—611no—
354C2×#432—611no—
355C2×C4×M16—611no—
356#1527—611no—
357#1527—611no—
358#1527—614no—
359#1527—611no—
360#1527D6111yescharacteristic, direct product factor
361C2×#329—614no—
362C2×C61—22no—
363C2×C61—82no—
364C2×C61C22×#10011yescharacteristic
365C2×C61C22×#10411yescharacteristic
366C2×C61C2×#42111yescharacteristic
367D61—22no—
368D61—82no—
369D61#152714yesdirect product factor
370C23×Q8—611no—
371C23×D4—611no—
372C22×M16—1221no—
373C2×#124—611no—
374C2×#124—611no—
375C2×#124—612no—
376C2×#124—612no—
377C2×#124—612no—
378C2×#124—612no—
379C2×#124—611no—
380C2×#124—1221no—
381C2×#124—1221no—
382C2×#124—1221no—
383C2×#124—1221no—
384C2×#124—1221no—
385C2×#124—1221no—
386C2×#124C2×D6111yescharacteristic
387C22×C22⋊C4—1221no—
388C22×C22⋊C4—1221no—
389C22×C42—611no—
390#432—611no—
391#432—612no—
392#432—1221no—
393#432—1221no—
394#432C2×D6111yescharacteristic, complemented
395C2×C4⋊C8—1221no—
396C2×C22⋊C8—1221no—
397C4×M16—611no—
398C4×M16—612no—
399C4×M16—1221no—
400C4×M16—1221no—
401C4×M16C2×D6111yescharacteristic, complemented
402C2×#97—612no—
403C2×#97—612no—
404C2×C4×C8—1221no—
405#329—614no—
406#329—614no—
407#329—614no—
408#329C2×D6114yescomplemented
409C61C2×#152711yescharacteristic, complemented, Sylow
410C25—1221no—
411C22×Q8—612no—
412C22×Q8—612no—
413C22×Q8—611no—
414C22×Q8—1221no—
415C22×Q8—1221no—
416C22×Q8—1221no—
417C22×Q8—2444no—
418C22×Q8C4×D6111yescharacteristic
419C22×D4—612no—
420C22×D4—612no—
421C22×D4—611no—
422C22×D4—1221no—
423C22×D4—1221no—
424C22×D4—1221no—
425C22×D4—2444no—
426C22×D4C4×D6111yescharacteristic
427C23×C4—611no—
428C23×C4—611no—
429C23×C4—611no—
430C23×C4—1221no—
431C2×M16—21no—
432C2×M16—1222no—
433C2×M16—1228no—
434C2×M16—1221no—
435C22×C8—1222no—
436C22×C8—1222no—
437#124—21no—
438#124—21no—
439#124—612no—
440#124—612no—
441#124—612no—
442#124—612no—
443#124—612no—
444#124—612no—
445#124—1222no—
446#124—1222no—
447#124—1222no—
448#124—1222no—
449#124—1222no—
450#124—1222no—
451#124—1222no—
452#124—1222no—
453#124—1221no—
454#124—1221no—
455#124—1221no—
456#124—1221no—
457#124—1221no—
458#124—1221no—
459#124C4×D6112yes—
460#124C22×D6112yes—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1222no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1222no—
466C2×C22⋊C4—1222no—
467C2×C22⋊C4—1222no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1222no—
470C2×C22⋊C4—1222no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42C22×D6111yescharacteristic
489C4⋊C8—21no—
490C4⋊C8—1222no—
491C4⋊C8—1221no—
492C22⋊C8—21no—
493C22⋊C8—1222no—
494C22⋊C8—1221no—
495#97—612no—
496#97—612no—
497#97—1222no—
498#97—1222no—
499#97C22×D6112yescomplemented
500#97C22×D6112yescomplemented
501C4×C8—21no—
502C4×C8—1222no—
503C4×C8—1221no—
504C24—21no—
505C24—611no—
506C24—1222no—
507C24—1222no—
508C24—1221no—
509C24—2444no—
510C24—2444no—
511C24—2444no—
512C2×Q8—21no—
513C2×Q8—42no—
514C2×Q8—612no—
515C2×Q8—1222no—
516C2×Q8—1222no—
517C2×Q8—1221no—
518C2×Q8—2442no—
519C2×Q8—2444no—
520C2×Q8—2444no—
521C2×Q8—2444no—
522C2×Q8—2444no—
523C2×Q8—2444no—
524C2×Q8C2×C4×D6112yes—
525C2×D4—21no—
526C2×D4—42no—
527C2×D4—612no—
528C2×D4—1222no—
529C2×D4—1222no—
530C2×D4—1221no—
531C2×D4—2442no—
532C2×D4—2444no—
533C2×D4—2444no—
534C2×D4—2444no—
535C2×D4—2444no—
536C2×D4—2444no—
537C2×D4C2×C4×D6112yes—
538C22×C4—21no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—1224no—
555C22×C4—1224no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1221no—
559C22×C4—2442no—
560C22×C4—2444no—
561C22×C4C2×C4×D6111yescharacteristic
562C22×C4D4×D6111yescharacteristic
563C22×C4D4×D6111yescharacteristic
564M16—24no—
565M16—1228no—
566M16—1224no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—1228no—
570C2×C8—1222no—
571C2×C8—1222no—
572C2×C8—2444no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—1222no—
578C22⋊C4—1222no—
579C22⋊C4—1222no—
580C22⋊C4—1222no—
581C22⋊C4—1222no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C42—611no—
590C42—611no—
591C42—611no—
592C42—611no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42C2×C4×D6111yescharacteristic
602C42D4×D6111yescharacteristic
603C42D4×D6111yescharacteristic
604C42C23×D6111yescharacteristic
605C23—22no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—611no—
610C23—611no—
611C23—614no—
612C23—1222no—
613C23—1222no—
614C23—1222no—
615C23—48816no—
616C23—2442no—
617C23—2442no—
618C23—2444no—
619C23—2444no—
620C23—2444no—
621C23—2444no—
622C23—2444no—
623C23—2444no—
624C23—2442no—
625C23C22⋊C4×D6111yescharacteristic
626Q8—42no—
627Q8—42no—
628Q8—2442no—
629Q8—2444no—
630Q8—2444no—
631Q8—2442no—
632D4—42no—
633D4—42no—
634D4—2442no—
635D4—2444no—
636D4—2444no—
637D4—2442no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—42no—
643C2×C4—611no—
644C2×C4—614no—
645C2×C4—611no—
646C2×C4—611no—
647C2×C4—611no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2444no—
665C2×C4—2444no—
666C2×C4—2441no—
667C2×C4—2442no—
668C2×C4C22⋊C4×D6111yescharacteristic
669C2×C4C22⋊C4×D6111yescharacteristic
670C2×C4C22⋊C4×D6111yescharacteristic
671C2×C4C22×C4×D6111yescharacteristic
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4C2×D4×D6111yescharacteristic
674C8—24no—
675C8—42no—
676C8—1224no—
677C8—2442no—
678C22—21no—
679C22—21no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—84no—
684C22—612no—
685C22—612no—
686C22—612no—
687C22—612no—
688C22—1228no—
689C22—1221no—
690C22—1221no—
691C22—4884no—
692C22—4888no—
693C22—4888no—
694C22—2442no—
695C22—2442no—
696C22—2442no—
697C22#104×D6112yes—
698C22C2×C22⋊C4×D6111yescharacteristic
699C4—21no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—42no—
705C4—612no—
706C4—1221no—
707C4—1221no—
708C4—1221no—
709C4—1221no—
710C4—1221no—
711C4—2442no—
712C4#100×D6112yes—
713C2—22no—
714C2—82no—
715C2—614no—
716C2—1222no—
717C2—4882no—
718C2C2×#100×D6111yescharacteristic
719C2C2×#104×D6111yescharacteristic
720C2#421×D6111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1527C2
socleC22×C61C22×C22⋊C4
prime radicalC22×D4×D61C4
cosocleC42×C61C24
hypercenter#1527D61
hypocenterC61C2×#1527
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1527

Complements

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

NH ≅ G/Ntype
2. #432×D61C2semidirect
3. C4×M16×D61C2semidirect
4. #21444418C2semidirect
5. #21444417C2semidirect
6. #21444416C2semidirect
7. #21444415C2semidirect
8. #329×D61C2semidirect
9. C61×#1527C2semidirect
29. #16839819C22semidirect
31. #16839817C22semidirect
35. C4×#11758194C22semidirect
36. #16839714C22semidirect
39. #97×D61C22semidirect
40. #97×D61C22semidirect
42. #16839502C22semidirect
43. #16839501C22semidirect
44. #16839501C22semidirect
46. C61×#432C22semidirect
47. C4×M16×C61C22semidirect
48. C61×#329C22semidirect
122. #14519688C23semidirect
123. #14519688C23semidirect
140. #97×C61C23semidirect
141. #97×C61C23semidirect
360. #1527D61direct (N × H)
369. D61#1527direct (N × H)
394. #432C2×D61semidirect
401. C4×M16C2×D61semidirect
408. #329C2×D61semidirect
409. C61C2×#1527semidirect
499. #97C22×D61semidirect
500. #97C22×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#124×D612
#432×D612
C4×M16×D612
#214444182
#214444172
#214444162
#214444152
#329×D612
C61×#15272
C2×#152761