Finite Group Databasebeta

← #29647302

Subgroups — #29647302

Order 15616.

1272 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#532×D61C211yesmaximal, characteristic
2#21454447C211yesmaximal, characteristic, complemented
3#21448215C211yesmaximal, characteristic, complemented
4#21444364C214yesmaximal, complemented
5#21444346C214yesmaximal, complemented
6#21444315C211yesmaximal, characteristic, complemented
7#21444314C211yesmaximal, characteristic, complemented
8#21444313C211yesmaximal, characteristic, complemented
9C61×#1502C211yesmaximal, characteristic, complemented
10C2×#41×D61—21no—
11#16840313C411yescharacteristic, complemented
12#16840312C2211yescharacteristic
13#16840311—21no—
14#16840310C411yescharacteristic, complemented
15#16840309—21no—
16#16840309C412yescomplemented
17#16840308—21no—
18#16840307—21no—
19#16840307C2212yes—
20C4⋊Q8×D61C411yescharacteristic, complemented
21#127×D61C411yescharacteristic, complemented
22#124×D61—21no—
23#121×D61—21no—
24#121×D61C2212yes—
25C4×D4×D61—21no—
26C4×D4×D61C412yescomplemented
27C2×C42×D61C2211yescharacteristic
28#16839818—21no—
29#16839816C2212yescomplemented
30#16839815C2211yescharacteristic, complemented
31#16839813—21no—
32#16839784—21no—
33#16839724C2212yes—
34C4×#11758189—21no—
35#16839629C2212yescomplemented
36#16839627—21no—
37#16839624C2212yes—
38#16839619—21no—
39C4×C4⋊Dic61C2211yescharacteristic, complemented
40C4×#11758198—21no—
41#16839608—21no—
42#16839497C2214yescomplemented
43#16839496C2214yescomplemented
44#16839495C2214yescomplemented
45C61×#532C2211yescharacteristic
46C61×#431C2211yescharacteristic, complemented
47C4×C4⋊C4×C61C2211yescharacteristic, complemented
48C61×#327C2214yescomplemented
49C2×#11758226—21no—
50C2×#11758222—21no—
51C2×#11758222—22no—
52C2×#11758224—22no—
53C2×#11758224—21no—
54#41×D61—44no—
55#41×D61—44no—
56C2×Q8×D61—21no—
57C2×D4×D61—22no—
58C2×D4×D61—21no—
59C2×D4×D61—21no—
60C2×D4×D61C2×C412yes—
61C22×C4×D61—22no—
62C22×C4×D61D411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C2×#11758189—22no—
66#14519777C2×C411yescharacteristic
67#14519776—21no—
68#14519776C2×C412yes—
69#14519775—21no—
70#14519774C2×C411yescharacteristic
71#14519773—21no—
72#14519773—21no—
73#14519773C2×C412yes—
74#14519766—21no—
75#14519765—21no—
76#14519764—21no—
77#14519763—22no—
78#14519763—22no—
79#14519752—21no—
80#14519752C2×C412yes—
81#14519751—21no—
82#14519751C2312yes—
83#14519750—22no—
84#14519750—22no—
85#14519749—22no—
86#14519749—22no—
87#14519748—21no—
88#14519748C2×C412yes—
89C4×D244—21no—
90C4×D244C2×C412yes—
91D4×Dic61—21no—
92D4×Dic61C2×C412yes—
93#14519739—21no—
94#14519739C2×C412yes—
95C4×C22⋊D61—22no—
96C4×C22⋊D61—22no—
97#14519737—22no—
98#14519737—22no—
99C2×C4⋊Dic61—21no—
100C4⋊C4×D61—21no—
101C4⋊C4×D61C2×C412yes—
102C2×#11758198—22no—
103C22⋊C4×D61—22no—
104C22⋊C4×D61—22no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61D411yescharacteristic
107C2×C4×Dic61D411yescharacteristic
108C2×C4×Dic61C2311yescharacteristic
109C42×D61C2×C411yescharacteristic
110C42×D61C2×C411yescharacteristic
111C42×D61C2×C411yescharacteristic
112C42×D61C2×C411yescharacteristic
113C42×D61D411yescharacteristic
114C42×D61D411yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61D411yescharacteristic
117C4⋊#92418—21no—
118#14519706—22no—
119C22⋊#92418C2312yes—
120#14519689—22no—
121#14519687—22no—
122C4×#92418—21no—
123#14519684—22no—
124#14519684—22no—
125#14519684—22no—
126#14519684C2312yes—
127C2×#41×C61—21no—
128C4⋊Q8×C61C2×C411yescharacteristic
129#127×C61C2×C411yescharacteristic
130#124×C61—21no—
131#121×C61—21no—
132#121×C61C2312yes—
133C4×D4×C61—21no—
134C4×D4×C61C2×C412yes—
135C2×C4⋊C4×C61—21no—
136C2×C42×C61—21no—
137C2×C42×C61C2311yescharacteristic
138C4⋊C8×C61—21no—
139C22⋊C8×C61C2312yes—
140C4×C8×C61—21no—
141#95×C61C2312yes—
142C23×D61—22no—
143C23×D61C2×D411yescharacteristic
144#41×C61—42no—
145#41×C61—42no—
146C2×Q8×C61—21no—
147C2×D4×C61—22no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61C22×C412yes—
151C22×C4×C61—22no—
152C22×C4×C61—22no—
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—22no—
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61C2×D411yescharacteristic
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166#11758226—44no—
167Q8×D61—44no—
168#11758224—44no—
169#11758224—44no—
170#11758224—44no—
171D4×D61—44no—
172D4×D61—44no—
173D4×D61—44no—
174D4×D61—44no—
175D4×D61—44no—
176#11758222—48no—
177#11758222—42no—
178#11758222—42no—
179C2×D244—22no—
180C2×D244—21no—
181C2×D244—21no—
182C2×D244C22×C412yes—
183C2×C4×D61—22no—
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—22no—
187C2×C4×D61—22no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—48no—
191C2×C4×D61C22⋊C411yescharacteristic
192C2×C4×D61C22⋊C411yescharacteristic
193C2×C4×D61C22⋊C411yescharacteristic
194C2×C4×D61C22⋊C411yescharacteristic
195C2×C4×D61C22⋊C411yescharacteristic
196C2×C4×D61C22⋊C411yescharacteristic
197C2×C4×D61C22⋊C411yescharacteristic
198C2×C4×D61C22⋊C411yescharacteristic
199C2×C4×D61C22×C411yescharacteristic
200C2×C4×D61C22×C411yescharacteristic
201C2×C4×D61C2×D411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×Dic122—21no—
204C2×Dic122—22no—
205C2×C8×C61—22no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—42no—
208C4⋊C4×C61C22×C412yes—
209C22⋊C4×C61—22no—
210C22⋊C4×C61—22no—
211C42×C61—42no—
212C42×C61C22×C411yescharacteristic
213C42×C61C22×C411yescharacteristic
214C42×C61C2×D411yescharacteristic
215C42×C61C2×D411yescharacteristic
216C22⋊Dic61—22no—
217C22⋊Dic61—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222#11758198—44no—
223C4⋊Dic61—21no—
224C4⋊Dic61—42no—
225C4⋊Dic61C22×C412yes—
226#11758196—22no—
227#11758196—22no—
228C4×Dic61—42no—
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C411yescharacteristic
232C4×Dic61C22⋊C411yescharacteristic
233C4×Dic61C22⋊C411yescharacteristic
234C4×Dic61C22⋊C411yescharacteristic
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22×C411yescharacteristic
238C4×Dic61C22×C411yescharacteristic
239C4×Dic61C2×D411yescharacteristic
240C4×Dic61C2×D411yescharacteristic
241C2×#92418—22no—
242#11758189—44no—
243C23×C61—22no—
244C23×C61C22×D411yescharacteristic
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—41no—
250C22×D61—44no—
251C22×D61—44no—
252C22×D61—44no—
253C22×D61C2×C22⋊C411yescharacteristic
254C22×D61C2×C22⋊C411yescharacteristic
255Q8×C61—42no—
256D4×C61—42no—
257D4×C61—42no—
258D4×C61—42no—
259D4×C61—42no—
260D4×C61—42no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—41no—
264C2×C4×C61—44no—
265C2×C4×C61—42no—
266C2×C4×C61—42no—
267C2×C4×C61—42no—
268C2×C4×C61C2×C22⋊C411yescharacteristic
269C2×C4×C61C2×C22⋊C411yescharacteristic
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61AGL(1,ℤ/8)12yes—
273C2×C4×C61AGL(1,ℤ/8)12yes—
274C2×C4×C61C23×C411yescharacteristic
275C2×C4×C61C22×D411yescharacteristic
276C22⋊D61—44no—
277C22⋊D61—44no—
278C22⋊D61—44no—
279C22⋊D61—44no—
280C22⋊D61—42no—
281C22⋊D61—42no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—44no—
288C2×Dic61—42no—
289C2×Dic61—42no—
290C2×Dic61—42no—
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297D244—42no—
298D244—44no—
299D244—42no—
300D244—42no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—41no—
310C4×D61—41no—
311C4×D61—41no—
312C4×D61—41no—
313C4×D61—44no—
314C4×D61—44no—
315C4×D61—44no—
316Dic122—44no—
317Dic122—42no—
318C8×C61—42no—
319#92418—42no—
320#17561—611nomaximal, Sylow
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61C22×C22⋊C411yescharacteristic
327C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
329C2×D61—21no—
330C2×D61—21no—
331C2×D61—21no—
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—88no—
340C2×D61#41012yes—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—21no—
344C4×C61—42no—
345C4×C61—82no—
346C4×C61#41812yes—
347C4×C61#41812yes—
348C4×C61#42112yes—
349Dic61—21no—
350Dic61—21no—
351Dic61—21no—
352Dic61—21no—
353Dic61—21no—
354Dic61—21no—
355Dic61—42no—
356Dic61—82no—
357C2×#532—611no—
358#2920—611no—
359#2283—611no—
360#1514—614no—
361#1510—614no—
362#1502—611no—
363#1502—611no—
364#1502—611no—
365#1502D6111yescharacteristic, complemented
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—82no—
369C2×C61C2×#41011yescharacteristic
370C2×C61C2×#41811yescharacteristic
371C2×C61C2×#42111yescharacteristic
372D61—22no—
373D61—41no—
374D61—82no—
375C22×#41—1221no—
376#532—611no—
377#532—611no—
378#532—612no—
379#532—612no—
380#532—611no—
381#532—1221no—
382#532—1221no—
383#532—1221no—
384#532—1221no—
385#532C2×D6111yescharacteristic
386C2×C4⋊Q8—611no—
387C2×#127—611no—
388C2×#124—1221no—
389C2×#121—612no—
390C2×#121—1221no—
391C2×C4×D4—612no—
392C2×C4×D4—1221no—
393C22×C42—611no—
394#432—612no—
395#432—1221no—
396#431—611no—
397#431—1221no—
398#431C2×D6111yescharacteristic, complemented
399#423—1221no—
400#407—612no—
401C4×M16—1221no—
402#383—612no—
403#382—1221no—
404#381—612no—
405#380—1221no—
406C4×C4⋊C4—611no—
407C4×C4⋊C4C2×D6111yescharacteristic, complemented
408C4×C22⋊C4—1221no—
409#376—1221no—
410#327—614no—
411#327—614no—
412#327—614no—
413#327C2×D6114yescomplemented
414C61#1756111yescharacteristic, complemented, Sylow
415C2×#41—21no—
416C2×#41—1222no—
417C2×#41—1222no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—1221no—
421C2×#41—2444no—
422C2×#41—2444no—
423C22×Q8—1221no—
424C22×D4—612no—
425C22×D4—1221no—
426C22×D4—1221no—
427C22×D4—1222no—
428C23×C4—611no—
429C23×C4—611no—
430C23×C4—611no—
431C23×C4—1222no—
432C2×M16—1222no—
433C4⋊Q8—612no—
434C4⋊Q8—611no—
435C4⋊Q8—1221no—
436C4⋊Q8—1221no—
437C4⋊Q8C4×D6111yescharacteristic
438#127—612no—
439#127—611no—
440#127—1221no—
441#127—1221no—
442#127C4×D6111yescharacteristic
443#124—21no—
444#124—1222no—
445#124—1222no—
446#124—1221no—
447#124—1221no—
448#124—1221no—
449#121—21no—
450#121—612no—
451#121—612no—
452#121—612no—
453#121—1222no—
454#121—1222no—
455#121—1221no—
456#121—1222no—
457#121—1221no—
458#121—1222no—
459#121—1221no—
460#121C22×D6112yes—
461C4×D4—21no—
462C4×D4—612no—
463C4×D4—612no—
464C4×D4—612no—
465C4×D4—1222no—
466C4×D4—1222no—
467C4×D4—1221no—
468C4×D4—1222no—
469C4×D4—1222no—
470C4×D4—1221no—
471C4×D4—1221no—
472C4×D4C4×D6112yes—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—612no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—1221no—
477C2×C22⋊C4—1222no—
478C2×C22⋊C4—1222no—
479C2×C22⋊C4—1222no—
480C2×C42—21no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—611no—
492C2×C42—1221no—
493C2×C42C22×D6111yescharacteristic
494C4⋊C8—21no—
495C4⋊C8—1222no—
496C4⋊C8—1221no—
497C22⋊C8—612no—
498C22⋊C8—1222no—
499C22⋊C8C22×D6112yes—
500#97—1222no—
501C4×C8—21no—
502C4×C8—1221no—
503#95—612no—
504#95—1222no—
505#95—1222no—
506#95—1222no—
507#95C22×D6112yes—
508C24—611no—
509C24—1222no—
510#41—42no—
511#41—42no—
512#41—2448no—
513#41—2444no—
514#41—2444no—
515#41—2444no—
516#41—2444no—
517#41—2442no—
518#41—2442no—
519C2×Q8—21no—
520C2×Q8—1222no—
521C2×Q8—1221no—
522C2×Q8—2444no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—612no—
527C2×D4—1222no—
528C2×D4—1222no—
529C2×D4—1222no—
530C2×D4—1222no—
531C2×D4—1222no—
532C2×D4—1222no—
533C2×D4—1221no—
534C2×D4—1221no—
535C2×D4—2444no—
536C2×D4—2444no—
537C2×D4—2444no—
538C2×D4—2444no—
539C2×D4—2444no—
540C2×D4C2×C4×D6112yes—
541C22×C4—22no—
542C22×C4—22no—
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—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—2442no—
566C22×C4—2442no—
567C22×C4—2448no—
568C22×C4D4×D6111yescharacteristic
569C22×C4D4×D6111yescharacteristic
570C22×C4C23×D6111yescharacteristic
571M16—2444no—
572C2×C8—22no—
573C2×C8—1222no—
574C4⋊C4—21no—
575C4⋊C4—42no—
576C4⋊C4—612no—
577C4⋊C4—1222no—
578C4⋊C4—1222no—
579C4⋊C4—1221no—
580C4⋊C4—2442no—
581C4⋊C4C2×C4×D6112yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—2444no—
591C42—42no—
592C42—611no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—2442no—
605C42C2×C4×D6111yescharacteristic
606C42C2×C4×D6111yescharacteristic
607C42D4×D6111yescharacteristic
608C42D4×D6111yescharacteristic
609C23—22no—
610C23—611no—
611C23—611no—
612C23—1222no—
613C23—1221no—
614C23—1221no—
615C23—1222no—
616C23—2441no—
617C23—2444no—
618C23—2444no—
619C23—2444no—
620C23C2×D4×D6111yescharacteristic
621Q8—42no—
622Q8—2444no—
623Q8—2442no—
624D4—42no—
625D4—42no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—2442no—
630D4—2444no—
631D4—2444no—
632D4—2444no—
633D4—2444no—
634D4—2444no—
635D4—2442no—
636D4—2442no—
637D4—2442no—
638D4—2442no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—44no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—611no—
647C2×C4—611no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—611no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2444no—
668C2×C4—2444no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2444no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2444no—
676C2×C4C22⋊C4×D6111yescharacteristic
677C2×C4C22⋊C4×D6111yescharacteristic
678C2×C4C22⋊C4×D6111yescharacteristic
679C2×C4C22⋊C4×D6111yescharacteristic
680C2×C4#1451980112yes—
681C2×C4#1451980412yes—
682C2×C4C22×C4×D6111yescharacteristic
683C2×C4C2×D4×D6111yescharacteristic
684C8—42no—
685C8—2442no—
686C22—21no—
687C22—21no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—612no—
692C22—1221no—
693C22—1221no—
694C22—1221no—
695C22—1221no—
696C22—1221no—
697C22—4888no—
698C22—2442no—
699C22—2442no—
700C22—2442no—
701C22—2442no—
702C22—2442no—
703C22C2×C22⋊C4×D6111yescharacteristic
704C22C2×#1451980111yescharacteristic
705C22C2×#1451980411yescharacteristic
706C4—21no—
707C4—21no—
708C4—21no—
709C4—42no—
710C4—82no—
711C4—1221no—
712C4—1221no—
713C4—1221no—
714C4—1221no—
715C4—1221no—
716C4—1221no—
717C4—4882no—
718C4—2442no—
719C4#1683976512yes—
720C4#1683976512yes—
721C4#1683977712yes—
722C2—21no—
723C2—21no—
724C2—82no—
725C2—1222no—
726C2—4882no—
727C2—2441no—
728C2#410×D6111yescharacteristic
729C2C2×#1683976511yescharacteristic
730C2C2×#1683977711yescharacteristic
subgroupG/H
centerC2×C4C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1502C2
socleC22×C61C22×C22⋊C4
prime radical#532×D61C2
cosocleC22×C4×C61C24
hypercenter#1502D61
hypocenterC61#17561
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1502

Complements

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

NH ≅ G/Ntype
2. #21454447C2semidirect
3. #21448215C2semidirect
4. #21444364C2semidirect
5. #21444346C2semidirect
6. #21444315C2semidirect
7. #21444314C2semidirect
8. #21444313C2semidirect
9. C61×#1502C2semidirect
11. #16840313C4semidirect
14. #16840310C4semidirect
16. #16840309C4semidirect
20. C4⋊Q8×D61C4semidirect
21. #127×D61C4semidirect
26. C4×D4×D61C4semidirect
29. #16839816C22semidirect
30. #16839815C22semidirect
35. #16839629C22semidirect
39. C4×C4⋊Dic61C22semidirect
42. #16839497C22semidirect
43. #16839496C22semidirect
44. #16839495C22semidirect
46. C61×#431C22semidirect
47. C4×C4⋊C4×C61C22semidirect
48. C61×#327C22semidirect
365. #1502D61semidirect
398. #431C2×D61semidirect
407. C4×C4⋊C4C2×D61semidirect
413. #327C2×D61semidirect
414. C61#17561semidirect

Maximal subgroups

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

subgroupindex
#532×D612
#214544472
#214482152
#214443642
#214443462
#214443152
#214443142
#214443132
C61×#15022
#1756161