Finite Group Databasebeta

← #29647774

Subgroups — #29647774

Order 15616.

1270 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459576C211yesmaximal, characteristic
2#21454845C211yesmaximal, characteristic, complemented
3#21448761C211yesmaximal, characteristic, complemented
4#21444386C211yesmaximal, characteristic, complemented
5#21444364C212yesmaximal, complemented
6#21444346C212yesmaximal, complemented
7#21444333C212yesmaximal, complemented
8#21444325C212yesmaximal, complemented
9C2×#16839497C211yesmaximal, characteristic, complemented
10C2×#16839496C211yesmaximal, characteristic, complemented
11C61×#1519C211yesmaximal, characteristic, complemented
12C2×#14519822—21no—
13#16840413C412yescomplemented
14#16840412C412yescomplemented
15#16840402—22no—
16#16840401—22no—
17#16840396C412yescomplemented
18D4×C22⋊D61C412yescomplemented
19#16840339—21no—
20#16840321—21no—
21#16840320—21no—
22#16840307C2212yes—
23C2×#14519751C2211yescharacteristic
24#121×D61C2212yes—
25C2×C4×C22⋊D61C2211yescharacteristic
26#16839833—22no—
27#16839830—22no—
28#16839816C2212yescomplemented
29#16839724C2212yescomplemented
30C2×C22⋊#92418C2211yescharacteristic, complemented
31#16839652—21no—
32#16839643—21no—
33#16839639—21no—
34#16839629C2211yescharacteristic, complemented
35#16839624C2211yescharacteristic, complemented
36C22⋊C4×Dic61—21no—
37#16839609C2211yescharacteristic, complemented
38#16839607C2211yescharacteristic, complemented
39C2×#14519684C2211yescharacteristic, complemented
40#16839497C2212yescomplemented
41#16839497C2212yescomplemented
42#16839496C2212yescomplemented
43#16839496C2212yescomplemented
44#16839495C2212yescomplemented
45#16839495C2212yescomplemented
46C2×#121×C61C2211yescharacteristic
47C2×C22⋊C8×C61C2211yescharacteristic, complemented
48C61×#380C2211yescharacteristic, complemented
49C61×#327C2212yescomplemented
50C61×#327C2212yescomplemented
51#14519822—44no—
52#14519822—44no—
53C2×#11758222—22no—
54C2×#11758224—22no—
55C2×#11758224—22no—
56C22×D244C2×C411yescharacteristic
57C22×C22⋊D61—21no—
58C22×C22⋊D61—22no—
59C22×C22⋊D61D411yescharacteristic
60C2×D4×D61—22no—
61C2×D4×D61—22no—
62C2×D4×D61C2×C412yescomplemented
63C23×Dic61—21no—
64C22×C4×D61C2311yescharacteristic
65C2×#11758189—22no—
66C22×#92418—21no—
67#14519776C2×C412yescomplemented
68#14519773C2×C412yescomplemented
69#14519763—22no—
70#14519762—22no—
71#14519760—22no—
72#14519759—22no—
73#14519758—22no—
74#14519755—22no—
75#14519754—22no—
76#14519752C2×C412yescomplemented
77#14519751—21no—
78#14519751—21no—
79#14519751C2×C412yes—
80#14519751C2312yes—
81#14519750—22no—
82#14519750—22no—
83#14519749—22no—
84#14519749—22no—
85#14519749—22no—
86#14519748C2×C412yescomplemented
87#14519747—22no—
88#14519746—22no—
89#14519745—22no—
90#14519745—22no—
91D4×Dic61C2×C412yescomplemented
92#14519739C2×C412yescomplemented
93C4×C22⋊D61C2×C412yes—
94C4×C22⋊D61C2×C412yes—
95C4×C22⋊D61D412yes—
96C4×C22⋊D61D412yes—
97#14519737—22no—
98C2×C4⋊Dic61C2×C411yescharacteristic
99C2×#11758196D411yescharacteristic
100C4⋊C4×D61C2×C412yescomplemented
101C2×C22⋊Dic61D411yescharacteristic
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×#11758198D411yescharacteristic
106C22⋊C4×D61—22no—
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110#14519706—22no—
111C22⋊#92418—21no—
112C22⋊#92418C2312yes—
113#14519689—22no—
114#14519687—22no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684C2311yescharacteristic
121#14519684C2311yescharacteristic
122C22×D4×C61—21no—
123C22×D4×C61C2×C411yescharacteristic
124C23×C4×C61C2311yescharacteristic
125C22×C8×C61—21no—
126#121×C61—21no—
127#121×C61—21no—
128#121×C61C2×C412yes—
129#121×C61C2312yes—
130C2×C4⋊C4×C61—21no—
131C2×C4⋊C4×C61C2×C411yescharacteristic
132C2×C22⋊C4×C61—21no—
133C2×C22⋊C4×C61—21no—
134C22⋊C8×C61—21no—
135C22⋊C8×C61C2312yes—
136#95×C61C2311yescharacteristic
137#95×C61C2311yescharacteristic
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140C23×D61—21no—
141C23×D61—22no—
142C23×D61C2×D411yescharacteristic
143C2×D4×C61—22no—
144C2×D4×C61—22no—
145C2×D4×C61—21no—
146C2×D4×C61—42no—
147C2×D4×C61—42no—
148C2×D4×C61—81no—
149C2×D4×C61C22×C412yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—81no—
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61—22no—
165C2×C22⋊D61—22no—
166C2×C22⋊D61—22no—
167C2×C22⋊D61—22no—
168C2×C22⋊D61—48no—
169C2×C22⋊D61—42no—
170C2×C22⋊D61—42no—
171C2×C22⋊D61C22⋊C412yes—
172C2×C22⋊D61C22⋊C412yes—
173C22×Dic61—21no—
174C22×Dic61—21no—
175C22×Dic61—22no—
176C22×Dic61—21no—
177C22×Dic61—42no—
178C22×Dic61—42no—
179C22×Dic61—81no—
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D411yescharacteristic
182C22×Dic61C2×D411yescharacteristic
183#11758224—44no—
184#11758224—44no—
185#11758224—48no—
186D4×D61—48no—
187D4×D61—44no—
188D4×D61—44no—
189D4×D61—82no—
190#11758222—48no—
191C2×D244—22no—
192C2×D244—21no—
193C2×D244—81no—
194C2×D244C22×C412yes—
195C2×C4×D61—22no—
196C2×C4×D61—22no—
197C2×C4×D61—81no—
198C2×C4×D61C22×C412yes—
199C2×C4×D61C2×D412yes—
200C2×Dic122—22no—
201C2×C8×C61—22no—
202C2×C8×C61—81no—
203C4⋊C4×C61—21no—
204C4⋊C4×C61—81no—
205C4⋊C4×C61C22×C412yes—
206C22⋊C4×C61—22no—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—42no—
209C22⋊Dic61—22no—
210C22⋊Dic61—22no—
211C22⋊Dic61C22⋊C412yes—
212C22⋊Dic61C22⋊C412yes—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216#11758198—22no—
217#11758198—42no—
218#11758198—81no—
219#11758198C22⋊C412yes—
220#11758198C22⋊C412yes—
221C4⋊Dic61—21no—
222C4⋊Dic61C22×C412yes—
223#11758196—22no—
224#11758196—22no—
225#11758196C22⋊C412yes—
226#11758196C22⋊C412yes—
227C4×Dic61—42no—
228C4×Dic61—81no—
229C4×Dic61C22×C412yes—
230C4×Dic61C2×D412yes—
231C2×#92418—22no—
232C2×#92418—81no—
233#11758189—82no—
234C23×C61—22no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—42no—
238C23×C61—81no—
239C23×C61—81no—
240C23×C61C2×C22⋊C411yescharacteristic
241C23×C61C2×C22⋊C411yescharacteristic
242C23×C61AGL(1,ℤ/8)12yes—
243C23×C61AGL(1,ℤ/8)12yes—
244C23×C61C22×D411yescharacteristic
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—22no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—44no—
251C22×D61—42no—
252C22×D61—82no—
253C22×D61—82no—
254C22×D61—81no—
255C22×D61—81no—
256C22×D61C2×C22⋊C412yes—
257D4×C61—42no—
258D4×C61—42no—
259D4×C61—42no—
260D4×C61—44no—
261D4×C61—81no—
262C2×C4×C61—22no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—42no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C2×C22⋊C411yescharacteristic
278C2×C4×C61C23×C411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C22⋊D61—24no—
281C22⋊D61—24no—
282C22⋊D61—44no—
283C22⋊D61—44no—
284C22⋊D61—42no—
285C22⋊D61—42no—
286C22⋊D61—44no—
287C22⋊D61—82no—
288C22⋊D61—82no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—44no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—42no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—84no—
303C2×Dic61C2×C22⋊C412yes—
304C2×Dic61C2×C22⋊C412yes—
305C2×Dic61C2×C22⋊C412yes—
306D244—42no—
307D244—44no—
308D244—81no—
309C4×D61—42no—
310C4×D61—42no—
311C4×D61—44no—
312C4×D61—44no—
313Dic122—44no—
314C8×C61—42no—
315#92418—42no—
316#17620—611nomaximal, Sylow
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—21no—
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—162no—
329C22×C61#41812yes—
330C22×C61#41812yes—
331C22×C61C22×C22⋊C411yescharacteristic
332C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—81no—
341C2×D61—81no—
342C2×D61—164no—
343C2×D61—162no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—21no—
348C4×C61—42no—
349C4×C61—81no—
350C4×C61—81no—
351Dic61—22no—
352Dic61—22no—
353Dic61—22no—
354Dic61—42no—
355Dic61—42no—
356Dic61—81no—
357#3496—611no—
358#2973—611no—
359#2353—611no—
360#1519—611no—
361#1519D6111yescharacteristic, complemented
362#1514—612no—
363#1510—612no—
364#1507—612no—
365#1505—612no—
366C2×#327—611no—
367C2×#327—611no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—22no—
371C2×C61—22no—
372C2×C61—82no—
373C2×C61#288311yescharacteristic
374C2×C61C2×#41811yescharacteristic
375C2×C61#290111yescharacteristic
376D61—42no—
377D61—82no—
378C2×H(5,𝔽2)—1221no—
379#547—612no—
380#547—612no—
381#546—1222no—
382#546—1222no—
383D42—612no—
384D42—612no—
385#537—1221no—
386#534—1221no—
387#534—1221no—
388#532—612no—
389C2×#121—611no—
390C2×#121—612no—
391C2×#121C2×D6111yescharacteristic
392C2×C4×D4—611no—
393#435—1222no—
394#435—1222no—
395#432—612no—
396#407—612no—
397C2×C22⋊C8—611no—
398C2×C22⋊C8C2×D6111yescharacteristic, complemented
399#388—1221no—
400#387—1221no—
401#386—1221no—
402#383—611no—
403#381—611no—
404#380C2×D6111yescharacteristic, complemented
405C4×C22⋊C4—611no—
406C4×C22⋊C4—1221no—
407#376—611no—
408C2×#95—611no—
409#327—612no—
410#327—612no—
411#327—612no—
412#327—612no—
413#327—612no—
414#327—612no—
415#327C2×D6112yescomplemented
416#327C2×D6112yescomplemented
417C61#1762011yescharacteristic, complemented, Sylow
418H(5,𝔽2)—2444no—
419H(5,𝔽2)—2444no—
420C2×#41—1222no—
421C2×#41—1222no—
422C2×#41—1222no—
423C22×D4—21no—
424C22×D4—611no—
425C22×D4—612no—
426C22×D4—611no—
427C22×D4—1222no—
428C22×D4—1222no—
429C22×D4—1222no—
430C22×D4—1221no—
431C22×D4C4×D6111yescharacteristic
432C23×C4—611no—
433C23×C4—1221no—
434C23×C4C22×D6111yescharacteristic
435C2×M16—1222no—
436C22×C8—21no—
437C22×C8—1221no—
438C4⋊Q8—612no—
439#127—612no—
440#124—1222no—
441#123—1222no—
442#123—1222no—
443#123—1222no—
444#123—1222no—
445C22⋊Q8—1222no—
446C22⋊Q8—1222no—
447#121—21no—
448#121—21no—
449#121—612no—
450#121—612no—
451#121—612no—
452#121—612no—
453#121—1222no—
454#121—1222no—
455#121—1222no—
456#121—1222no—
457#121—1222no—
458#121—1221no—
459#121—1221no—
460#121C4×D6112yes—
461#121C22×D6112yes—
462#120—1222no—
463#120—1222no—
464#120—1222no—
465#120—1222no—
466C4×D4—612no—
467C4×D4—612no—
468C4×D4—612no—
469C4×D4—612no—
470C4×D4—612no—
471C4×D4—612no—
472C4×D4—1222no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—612no—
477C2×C4⋊C4C4×D6111yescharacteristic
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—611no—
481C2×C22⋊C4—611no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1221no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C42—611no—
487C2×C42—1221no—
488C2×C42—1221no—
489C4⋊C8—1222no—
490C22⋊C8—21no—
491C22⋊C8—612no—
492C22⋊C8—1222no—
493C22⋊C8—1221no—
494C22⋊C8C22×D6112yes—
495#97—1222no—
496#95—611no—
497#95—611no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95C22×D6111yescharacteristic
504#95C22×D6111yescharacteristic
505C24—21no—
506C24—611no—
507C24—1222no—
508C24—1221no—
509C24D4×D6111yescharacteristic
510#41—2448no—
511#41—2444no—
512#41—2444no—
513#41—2448no—
514C2×Q8—1222no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—21no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—81no—
521C2×D4—612no—
522C2×D4—612no—
523C2×D4—612no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4—1222no—
528C2×D4—1222no—
529C2×D4—1222no—
530C2×D4—1222no—
531C2×D4—1222no—
532C2×D4—1222no—
533C2×D4—1221no—
534C2×D4—4881no—
535C2×D4—4882no—
536C2×D4—2448no—
537C2×D4—2444no—
538C2×D4—2444no—
539C2×D4—2448no—
540C2×D4—2442no—
541C2×D4—2442no—
542C2×D4C2×C4×D6112yes—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—81no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—612no—
551C22×C4—612no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—4881no—
559C22×C4—4881no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4C2×C4×D6111yescharacteristic
563C22×C4C2×C4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4D4×D6111yescharacteristic
566C22×C4D4×D6111yescharacteristic
567C22×C4C23×D6111yescharacteristic
568M16—4882no—
569C2×C8—22no—
570C2×C8—81no—
571C2×C8—1222no—
572C2×C8—4881no—
573C4⋊C4—21no—
574C4⋊C4—81no—
575C4⋊C4—612no—
576C4⋊C4—612no—
577C4⋊C4—612no—
578C4⋊C4—1222no—
579C4⋊C4—1222no—
580C4⋊C4—1221no—
581C4⋊C4C2×C4×D6112yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—42no—
585C22⋊C4—612no—
586C22⋊C4—612no—
587C22⋊C4—612no—
588C22⋊C4—612no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—4881no—
596C22⋊C4—2442no—
597C42—612no—
598C42—612no—
599C42—4881no—
600C42—2442no—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—81no—
606C23—81no—
607C23—612no—
608C23—1221no—
609C23—1221no—
610C23—1222no—
611C23—4881no—
612C23—4881no—
613C23—4882no—
614C23—4882no—
615C23—2441no—
616C23—2441no—
617C23—2444no—
618C23—2442no—
619C23C22⋊C4×D6111yescharacteristic
620C23C22⋊C4×D6111yescharacteristic
621C23#1451980112yes—
622C23#1451980412yes—
623C23C2×D4×D6111yescharacteristic
624Q8—2444no—
625D4—42no—
626D4—44no—
627D4—42no—
628D4—42no—
629D4—81no—
630D4—1224no—
631D4—1224no—
632D4—4881no—
633D4—4882no—
634D4—4882no—
635D4—2442no—
636D4—2444no—
637D4—2444no—
638D4—2444no—
639D4—2444no—
640D4—2442no—
641D4—2442no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—612no—
657C2×C4—612no—
658C2×C4—612no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—4884no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2444no—
667C2×C4—2444no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2444no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2442no—
676C2×C4—2441no—
677C2×C4C22⋊C4×D6111yescharacteristic
678C2×C4C22⋊C4×D6111yescharacteristic
679C2×C4C22×C4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C8—42no—
682C8—2442no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—162no—
695C22—1222no—
696C22—1222no—
697C22—1222no—
698C22—9762no—
699C22—9764no—
700C22—4881no—
701C22—4881no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22#1683976512yes—
706C22#1683976512yes—
707C22C2×C22⋊C4×D6111yescharacteristic
708C22C2×#1451980111yescharacteristic
709C22C2×#1451980411yescharacteristic
710C4—21no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—42no—
715C4—81no—
716C4—81no—
717C4—1222no—
718C4—1222no—
719C4—1222no—
720C4—4881no—
721C4—2442no—
722C4—2442no—
723C2—21no—
724C2—21no—
725C2—22no—
726C2—22no—
727C2—82no—
728C2—4882no—
729C2—2442no—
730C2#2145427711yescharacteristic
731C2C2×#1683976511yescharacteristic
732C2#2145436511yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1519C2
socleC22×C61C22×C22⋊C4
prime radical#21459576C2
cosocleC22×C4×C61C24
hypercenter#1519D61
hypocenterC61#17620
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1519

Complements

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

NH ≅ G/Ntype
2. #21454845C2semidirect
3. #21448761C2semidirect
4. #21444386C2semidirect
5. #21444364C2semidirect
6. #21444346C2semidirect
7. #21444333C2semidirect
8. #21444325C2semidirect
9. C2×#16839497C2semidirect
10. C2×#16839496C2semidirect
11. C61×#1519C2semidirect
13. #16840413C4semidirect
14. #16840412C4semidirect
17. #16840396C4semidirect
18. D4×C22⋊D61C4semidirect
28. #16839816C22semidirect
29. #16839724C22semidirect
30. C2×C22⋊#92418C22semidirect
34. #16839629C22semidirect
35. #16839624C22semidirect
37. #16839609C22semidirect
38. #16839607C22semidirect
39. C2×#14519684C22semidirect
40. #16839497C22semidirect
41. #16839497C22semidirect
42. #16839496C22semidirect
43. #16839496C22semidirect
44. #16839495C22semidirect
45. #16839495C22semidirect
47. C2×C22⋊C8×C61C22semidirect
48. C61×#380C22semidirect
49. C61×#327C22semidirect
50. C61×#327C22semidirect
62. C2×D4×D61C2×C4semidirect
67. #14519776C2×C4semidirect
68. #14519773C2×C4semidirect
76. #14519752C2×C4semidirect
86. #14519748C2×C4semidirect
91. D4×Dic61C2×C4semidirect
92. #14519739C2×C4semidirect
100. C4⋊C4×D61C2×C4semidirect
361. #1519D61semidirect
398. C2×C22⋊C8C2×D61semidirect
404. #380C2×D61semidirect
415. #327C2×D61semidirect
416. #327C2×D61semidirect
417. C61#17620semidirect

Maximal subgroups

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

subgroupindex
#214595762
#214548452
#214487612
#214443862
#214443642
#214443462
#214443332
#214443252
C2×#168394972
C2×#168394962
C61×#15192
#1762061