Finite Group Databasebeta

← #29647187

Subgroups — #29647187

Order 15616.

1364 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#532×D61C211yesmaximal, characteristic
2#21454447C211yesmaximal, characteristic, complemented
3C4×#14519735C211yesmaximal, characteristic, complemented
4#21444333C214yesmaximal, complemented
5#21444325C214yesmaximal, 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×#14519735—21no—
28C2×C42×D61C2211yescharacteristic
29#16839818—21no—
30#16839816C2212yescomplemented
31#16839815C2211yescharacteristic, complemented
32#16839813—21no—
33#16839784—21no—
34#16839724C2212yes—
35C4×#11758189—21no—
36C4⋊C4×Dic61—21no—
37C4×C4⋊Dic61C2211yescharacteristic, complemented
38C4×#11758198—21no—
39#16839609C2212yes—
40#16839607C2212yescomplemented
41C42×Dic61—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—
99#14519735—28no—
100C2×C4⋊Dic61—21no—
101C4⋊C4×D61—21no—
102C4⋊C4×D61C2×C412yes—
103C2×#11758198—22no—
104C22⋊C4×D61—22no—
105C22⋊C4×D61—22no—
106C2×C4×Dic61—22no—
107C2×C4×Dic61—21no—
108C2×C4×Dic61—22no—
109C2×C4×Dic61D411yescharacteristic
110C2×C4×Dic61D411yescharacteristic
111C2×C4×Dic61C2311yescharacteristic
112C42×D61C2×C411yescharacteristic
113C42×D61C2×C411yescharacteristic
114C42×D61C2×C411yescharacteristic
115C42×D61C2×C411yescharacteristic
116C42×D61D411yescharacteristic
117C42×D61D411yescharacteristic
118C42×D61D411yescharacteristic
119C42×D61D411yescharacteristic
120C4⋊#92418—21no—
121#14519706—22no—
122C22⋊#92418C2312yes—
123#14519689—22no—
124#14519687—22no—
125C4×#92418—21no—
126#14519684—22no—
127#14519684C2312yes—
128C2×#41×C61—21no—
129C4⋊Q8×C61C2×C411yescharacteristic
130#127×C61C2×C411yescharacteristic
131#124×C61—21no—
132#121×C61—21no—
133#121×C61C2312yes—
134C4×D4×C61—21no—
135C4×D4×C61C2×C412yes—
136C2×C4⋊C4×C61—21no—
137C2×C42×C61—21no—
138C2×C42×C61C2311yescharacteristic
139C4⋊C8×C61—21no—
140C22⋊C8×C61C2312yes—
141C4×C8×C61—21no—
142#95×C61C2312yes—
143C23×D61—22no—
144C23×D61C2×D411yescharacteristic
145#41×C61—42no—
146#41×C61—42no—
147C2×Q8×C61—21no—
148C2×D4×C61—22no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C22×C412yes—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167#11758226—44no—
168Q8×D61—44no—
169#11758224—44no—
170#11758224—44no—
171#11758224—44no—
172D4×D61—44no—
173D4×D61—44no—
174D4×D61—44no—
175D4×D61—44no—
176D4×D61—44no—
177#11758222—48no—
178#11758222—42no—
179#11758222—42no—
180C2×D244—22no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244C22×C412yes—
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—24no—
187C2×C4×D61—22no—
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—42no—
191C2×C4×D61—48no—
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×D61C22×C411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×Dic122—21no—
205C2×Dic122—22no—
206C2×C8×C61—22no—
207C4⋊C4×C61—24no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61C22×C412yes—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C42×C61—42no—
213C42×C61C22×C411yescharacteristic
214C42×C61C22×C411yescharacteristic
215C42×C61C2×D411yescharacteristic
216C42×C61C2×D411yescharacteristic
217C22⋊Dic61—22no—
218C22⋊Dic61—22no—
219#11758198—28no—
220#11758198—22no—
221#11758198—22no—
222#11758198—22no—
223#11758198—22no—
224C4⋊Dic61—24no—
225C4⋊Dic61—21no—
226C4⋊Dic61C22×C412yes—
227#11758196—22no—
228#11758196—22no—
229C4×Dic61—28no—
230C4×Dic61—44no—
231C4×Dic61—42no—
232C4×Dic61C22⋊C411yescharacteristic
233C4×Dic61C22⋊C411yescharacteristic
234C4×Dic61C22⋊C411yescharacteristic
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22⋊C411yescharacteristic
238C4×Dic61C22⋊C411yescharacteristic
239C4×Dic61C22⋊C411yescharacteristic
240C4×Dic61C22×C411yescharacteristic
241C4×Dic61C22×C411yescharacteristic
242C4×Dic61C2×D411yescharacteristic
243C4×Dic61C2×D411yescharacteristic
244C2×#92418—22no—
245#11758189—44no—
246C23×C61—22no—
247C23×C61C22×D411yescharacteristic
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—41no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—44no—
256C22×D61C2×C22⋊C411yescharacteristic
257C22×D61C2×C22⋊C411yescharacteristic
258Q8×C61—42no—
259D4×C61—42no—
260D4×C61—42no—
261D4×C61—42no—
262D4×C61—42no—
263D4×C61—42no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—22no—
267C2×C4×C61—41no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61—44no—
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61AGL(1,ℤ/8)12yes—
276C2×C4×C61AGL(1,ℤ/8)12yes—
277C2×C4×C61C23×C411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C22⋊D61—44no—
280C22⋊D61—44no—
281C22⋊D61—42no—
282C22⋊D61—42no—
283C22⋊D61—44no—
284C22⋊D61—44no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—24no—
290C2×Dic61—22no—
291C2×Dic61—44no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×C22⋊C411yescharacteristic
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61C2×C22⋊C411yescharacteristic
300D244—42no—
301D244—44no—
302D244—42no—
303D244—42no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—22no—
313C4×D61—41no—
314C4×D61—41no—
315C4×D61—44no—
316C4×D61—44no—
317C4×D61—44no—
318C4×D61#10414yes—
319Dic122—44no—
320Dic122—42no—
321C8×C61—42no—
322#92418—42no—
323#17544—611nomaximal, Sylow
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61C22×C22⋊C411yescharacteristic
330C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
331C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—21no—
335C2×D61—21no—
336C2×D61—21no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—88no—
343C2×D61C2×#10412yes—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—44no—
348C4×C61—42no—
349C4×C61#41812yes—
350C4×C61#41812yes—
351C4×C61C2×#10412yes—
352Dic61—21no—
353Dic61—21no—
354Dic61—21no—
355Dic61—21no—
356Dic61—44no—
357Dic61—42no—
358Dic61#41012yes—
359Dic61C2×#10412yes—
360C2×#532—611no—
361#2920—611no—
362C4×#117—611no—
363#1507—614no—
364#1505—614no—
365#1502—611no—
366#1502—611no—
367#1502—611no—
368#1502D6111yescharacteristic, complemented
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—82no—
372C2×C61C2×#41011yescharacteristic
373C2×C61C2×#41811yescharacteristic
374C2×C61C22×#10411yescharacteristic
375D61—22no—
376D61—41no—
377D61—82no—
378C22×#41—1221no—
379#532—611no—
380#532—611no—
381#532—612no—
382#532—612no—
383#532—611no—
384#532—1221no—
385#532—1221no—
386#532—1221no—
387#532—1221no—
388#532C2×D6111yescharacteristic
389C2×C4⋊Q8—611no—
390C2×#127—611no—
391C2×#124—1221no—
392C2×#121—612no—
393C2×#121—1221no—
394C2×C4×D4—612no—
395C2×C4×D4—1221no—
396C2×#117—1221no—
397C22×C42—611no—
398#432—612no—
399#432—1221no—
400#431—611no—
401#431—1221no—
402#431C2×D6111yescharacteristic, complemented
403#423—1221no—
404#407—612no—
405C4×M16—1221no—
406C4×C4⋊C4—611no—
407C4×C4⋊C4—1221no—
408C4×C4⋊C4C2×D6111yescharacteristic, complemented
409C4×C22⋊C4—612no—
410C4×C22⋊C4—1221no—
411#376—612no—
412C43—1221no—
413#327—614no—
414#327—614no—
415#327—614no—
416#327C2×D6114yescomplemented
417C61#1754411yescharacteristic, complemented, Sylow
418C2×#41—21no—
419C2×#41—1222no—
420C2×#41—1222no—
421C2×#41—1221no—
422C2×#41—1221no—
423C2×#41—1221no—
424C2×#41—2444no—
425C2×#41—2444no—
426C22×Q8—1221no—
427C22×D4—612no—
428C22×D4—1221no—
429C22×D4—1221no—
430C22×D4—1222no—
431C23×C4—611no—
432C23×C4—611no—
433C23×C4—611no—
434C23×C4—1222no—
435C2×M16—1222no—
436C4⋊Q8—612no—
437C4⋊Q8—611no—
438C4⋊Q8—1221no—
439C4⋊Q8—1221no—
440C4⋊Q8C4×D6111yescharacteristic
441#127—612no—
442#127—611no—
443#127—1221no—
444#127—1221no—
445#127C4×D6111yescharacteristic
446#124—21no—
447#124—1222no—
448#124—1222no—
449#124—1221no—
450#124—1221no—
451#124—1221no—
452#121—21no—
453#121—612no—
454#121—612no—
455#121—612no—
456#121—1222no—
457#121—1222no—
458#121—1221no—
459#121—1222no—
460#121—1221no—
461#121—1222no—
462#121—1221no—
463#121C22×D6112yes—
464C4×D4—21no—
465C4×D4—612no—
466C4×D4—612no—
467C4×D4—612no—
468C4×D4—1222no—
469C4×D4—1222no—
470C4×D4—1221no—
471C4×D4—1222no—
472C4×D4—1222no—
473C4×D4—1221no—
474C4×D4—1221no—
475C4×D4C4×D6112yes—
476#117—1228no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—612no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1221no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1222no—
484C2×C42—21no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—611no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—611no—
495C2×C42—611no—
496C2×C42—1222no—
497C2×C42—1222no—
498C2×C42—1221no—
499C2×C42C22×D6111yescharacteristic
500C4⋊C8—21no—
501C4⋊C8—1222no—
502C4⋊C8—1221no—
503C22⋊C8—612no—
504C22⋊C8—1222no—
505C22⋊C8C22×D6112yes—
506#97—1222no—
507C4×C8—21no—
508C4×C8—1221no—
509#95—612no—
510#95—1222no—
511#95C22×D6112yes—
512C24—611no—
513C24—1222no—
514#41—42no—
515#41—42no—
516#41—2448no—
517#41—2444no—
518#41—2444no—
519#41—2444no—
520#41—2444no—
521#41—2442no—
522#41—2442no—
523C2×Q8—21no—
524C2×Q8—1222no—
525C2×Q8—1221no—
526C2×Q8—2444no—
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—612no—
531C2×D4—1222no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1222no—
537C2×D4—1221no—
538C2×D4—1221no—
539C2×D4—2444no—
540C2×D4—2444no—
541C2×D4—2444no—
542C2×D4—2444no—
543C2×D4—2444no—
544C2×D4C2×C4×D6112yes—
545C22×C4—22no—
546C22×C4—22no—
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—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—1224no—
563C22×C4—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—2442no—
571C22×C4—2448no—
572C22×C4D4×D6111yescharacteristic
573C22×C4D4×D6111yescharacteristic
574C22×C4C23×D6111yescharacteristic
575M16—2444no—
576C2×C8—22no—
577C2×C8—1222no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—612no—
581C4⋊C4—1222no—
582C4⋊C4—1222no—
583C4⋊C4—1224no—
584C4⋊C4—1221no—
585C4⋊C4C2×C4×D6112yes—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1228no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C42—42no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—611no—
605C42—611no—
606C42—611no—
607C42—611no—
608C42—1228no—
609C42—2444no—
610C42—2442no—
611C42C2×C4×D6111yescharacteristic
612C42C2×C4×D6111yescharacteristic
613C42D4×D6111yescharacteristic
614C42D4×D6111yescharacteristic
615C23—22no—
616C23—611no—
617C23—611no—
618C23—1222no—
619C23—1221no—
620C23—1221no—
621C23—1222no—
622C23—2441no—
623C23—2444no—
624C23—2444no—
625C23—2444no—
626C23C2×D4×D6111yescharacteristic
627Q8—42no—
628Q8—2444no—
629Q8—2442no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—2442no—
636D4—2444no—
637D4—2444no—
638D4—2444no—
639D4—2444no—
640D4—2444no—
641D4—2442no—
642D4—2442no—
643D4—2442no—
644D4—2442no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—611no—
653C2×C4—611no—
654C2×C4—614no—
655C2×C4—611no—
656C2×C4—611no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1222no—
672C2×C4—1224no—
673C2×C4—1222no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2444no—
677C2×C4—2444no—
678C2×C4—2444no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2444no—
682C2×C4C22⋊C4×D6111yescharacteristic
683C2×C4C22⋊C4×D6111yescharacteristic
684C2×C4C22⋊C4×D6111yescharacteristic
685C2×C4C22⋊C4×D6111yescharacteristic
686C2×C4#1451980112yes—
687C2×C4#1451980412yes—
688C2×C4C22×C4×D6111yescharacteristic
689C2×C4C2×D4×D6111yescharacteristic
690C8—42no—
691C8—2442no—
692C22—21no—
693C22—21no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—612no—
698C22—1221no—
699C22—1221no—
700C22—1221no—
701C22—1221no—
702C22—1221no—
703C22—4888no—
704C22—2442no—
705C22—2442no—
706C22—2442no—
707C22—2442no—
708C22—2442no—
709C22C2×C22⋊C4×D6111yescharacteristic
710C22C2×#1451980111yescharacteristic
711C22C2×#1451980411yescharacteristic
712C4—21no—
713C4—21no—
714C4—21no—
715C4—44no—
716C4—42no—
717C4—612no—
718C4—612no—
719C4—1221no—
720C4—1221no—
721C4—1221no—
722C4—1221no—
723C4—2444no—
724C4—2442no—
725C4#1683976512yes—
726C4#1683976512yes—
727C4#104×D6112yes—
728C2—21no—
729C2—21no—
730C2—82no—
731C2—1222no—
732C2—4882no—
733C2—2441no—
734C2#410×D6111yescharacteristic
735C2C2×#1683976511yescharacteristic
736C2C2×#104×D6111yescharacteristic
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#17544
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. C4×#14519735C2semidirect
4. #21444333C2semidirect
5. #21444325C2semidirect
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
30. #16839816C22semidirect
31. #16839815C22semidirect
37. C4×C4⋊Dic61C22semidirect
40. #16839607C22semidirect
42. #16839497C22semidirect
43. #16839496C22semidirect
44. #16839495C22semidirect
46. C61×#431C22semidirect
47. C4×C4⋊C4×C61C22semidirect
48. C61×#327C22semidirect
368. #1502D61semidirect
402. #431C2×D61semidirect
408. C4×C4⋊C4C2×D61semidirect
416. #327C2×D61semidirect
417. C61#17544semidirect

Maximal subgroups

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

subgroupindex
#532×D612
#214544472
C4×#145197352
#214443332
#214443252
#214443152
#214443142
#214443132
C61×#15022
#1754461