Finite Group Databasebeta

← #30564841

Subgroups — #30564841

Order 15616.

2514 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#21459583C211yesmaximal, characteristic, complemented
2C2×#16840408C211yesmaximal, characteristic, complemented
3#21457782C218yesmaximal, complemented
4#21457304C218yesmaximal, complemented
5#21456808C212yesmaximal, complemented
6#21456619C212yesmaximal, complemented
7#21456577C212yesmaximal, complemented
8#21455911C212yesmaximal, complemented
9#21455073C212yesmaximal, complemented
10C2×#16839898C212yesmaximal, complemented
11C61×#2973C211yesmaximal, characteristic, complemented
12C2×#14519822—21no—
13C22×#11758222C2211yescharacteristic, complemented
14C23×D244C2211yescharacteristic, complemented
15C2×#14519805C2214yescomplemented
16C22×D488C2214yescomplemented
17#16840416C2214yescomplemented
18#16840408—24no—
19#16840408C2218yescomplemented
20#16840407—24no—
21D4×D244C2214yescomplemented
22#16840343—21no—
23#16840324—21no—
24#16840324—21no—
25#16840312C2212yescomplemented
26C2×#14519765C2211yescharacteristic, complemented
27C2×#14519762—21no—
28C2×#14519756C2211yescharacteristic, complemented
29C2×#14519751C2212yes—
30C2×#14519751C2211yescharacteristic, complemented
31C2×#14519751C2212yescomplemented
32C2×#14519750—21no—
33C2×#14519745—21no—
34C2×C4×D244C2211yescharacteristic, complemented
35C2×C22⋊C4×D61—21no—
36#16840151C2214yescomplemented
37#16840122C2214yescomplemented
38#16840093C2214yescomplemented
39#16840081C2214yescomplemented
40#16840081C2214yescomplemented
41#16840053C2214yescomplemented
42#16840015C2218yescomplemented
43#16839991C2218yescomplemented
44#16839978C2218yescomplemented
45#16839958C2214yescomplemented
46#16839915C2214yescomplemented
47#16839909C2218yescomplemented
48#16839903C2214yescomplemented
49#16839898C2214yescomplemented
50#16839898C2218yescomplemented
51#16839898C2214yescomplemented
52#16839898C2214yescomplemented
53#16839875C2218yescomplemented
54#16839764C2214yescomplemented
55C2×#14519699C2214yescomplemented
56C2×C4×D4×C61C2211yescharacteristic
57C61×#435C2218yescomplemented
58C61×#432C2212yescomplemented
59C61×#407C2212yescomplemented
60C2×C22⋊C8×C61C2212yescomplemented
61C24×D61—21no—
62#14519822—48no—
63C2×#11758222—22no—
64C2×#11758222—22no—
65C2×#11758222—44no—
66C2×#11758222C2314yes—
67C2×#11758224—24no—
68C22×Dic122C2311yescharacteristic
69C22×D244—21no—
70C22×D244—22no—
71C22×D244—44no—
72C22×D244C2311yescharacteristic
73C22×D244C2314yes—
74C22×D244C2312yes—
75C22×D244C2311yescharacteristic
76C22×D244C2312yescomplemented
77C22×C22⋊D61—21no—
78C22×C22⋊D61—22no—
79C22×C22⋊D61—22no—
80C22×C22⋊D61—21no—
81C2×D4×D61—24no—
82C22×C4×D61—21no—
83C22×C4×D61—21no—
84#14519805—48no—
85C2×#11758190C2318yescomplemented
86C2×D488—48no—
87C2×D488C2318yes—
88C2×D488C2318yes—
89#14519777C2312yescomplemented
90#14519774C2312yescomplemented
91#14519765—22no—
92#14519765—22no—
93#14519765C2314yes—
94#14519762—28no—
95#14519761—24no—
96#14519761—24no—
97#14519757—24no—
98#14519756—22no—
99#14519756C2314yes—
100#14519752—24no—
101#14519751—22no—
102#14519751—22no—
103#14519751—22no—
104#14519751—22no—
105#14519751—22no—
106#14519751—22no—
107#14519751C2314yes—
108#14519751C2314yes—
109#14519751C2314yes—
110#14519751C2314yescomplemented
111#14519750—28no—
112#14519747—24no—
113#14519747—24no—
114#14519745—28no—
115C4×D244—22no—
116C4×D244—22no—
117C4×D244C2314yes—
118C4×D244C2314yescomplemented
119C2×C4⋊Dic61C2311yescharacteristic
120C2×C4⋊Dic61C2312yes—
121C2×C4⋊Dic61C2312yescomplemented
122C2×#11758196—21no—
123C2×C22⋊Dic61—21no—
124C2×#11758198—21no—
125C2×#11758198—21no—
126C2×#11758198—21no—
127C2×#11758198—21no—
128C2×#11758198—22no—
129C2×#11758198—22no—
130C22⋊C4×D61—28no—
131#14519709C2318yescomplemented
132#14519702C2318yescomplemented
133#14519699C2318yes—
134#14519699C2318yes—
135#14519699C2318yescomplemented
136C22×D4×C61D411yescharacteristic
137C23×C4×C61C2311yescharacteristic
138C23×C4×C61C2311yescharacteristic
139C2×M16×C61C2314yescomplemented
140C22×C8×C61C2314yes—
141C4×D4×C61D414yes—
142C4×D4×C61C2314yes—
143C2×C4⋊C4×C61D411yescharacteristic
144C2×C22⋊C4×C61D411yescharacteristic
145C2×C22⋊C4×C61D411yescharacteristic
146C2×C42×C61C2311yescharacteristic
147C4⋊C8×C61C2314yescomplemented
148C22⋊C8×C61C2314yes—
149C22⋊C8×C61C2314yes—
150C22⋊C8×C61C2314yescomplemented
151#97×C61C2314yescomplemented
152C24×C61C2×D411yescharacteristic
153C24×C61C2×D411yescharacteristic
154C23×D61—21no—
155C23×D61—21no—
156C23×D61—24no—
157C23×D61—22no—
158C23×D61—22no—
159C23×D61—44no—
160C23×D61—44no—
161C23×D61—82no—
162C2×D4×C61—24no—
163C2×D4×C61C2×D414yes—
164C22×C4×C61—42no—
165C22×C4×C61—42no—
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D412yes—
171C22×C4×C61C2×D412yes—
172C22×C4×C61C2412yes—
173C22×C4×C61C2411yescharacteristic
174C22×C4×C61C2412yes—
175C2×C22⋊D61—24no—
176C2×C22⋊D61—24no—
177C2×C22⋊D61—24no—
178C2×C22⋊D61—24no—
179C2×C22⋊D61—24no—
180C2×C22⋊D61—44no—
181C2×C22⋊D61—48no—
182C2×C22⋊D61—48no—
183C2×C22⋊D61—82no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186C22×Dic61—22no—
187C22×Dic61—22no—
188#11758224—416no—
189D4×D61—416no—
190#11758222—28no—
191#11758222—44no—
192#11758222—48no—
193#11758222—48no—
194C2×D244—21no—
195C2×D244—24no—
196C2×D244—28no—
197C2×D244—22no—
198C2×D244—24no—
199C2×D244—21no—
200C2×D244—22no—
201C2×D244—22no—
202C2×D244—22no—
203C2×D244—44no—
204C2×D244—42no—
205C2×D244—44no—
206C2×D244—44no—
207C2×D244—48no—
208C2×D244—44no—
209C2×D244C2412yes—
210C2×D244C2414yes—
211C2×D244C2412yes—
212C2×C4×D61—24no—
213C2×C4×D61—24no—
214C2×C4×D61—24no—
215C2×C4×D61—44no—
216C2×C4×D61—82no—
217C2×Dic122—21no—
218C2×Dic122—22no—
219C2×Dic122—42no—
220C2×Dic122C2412yes—
221M16×C61—44no—
222C2×C8×C61—44no—
223C2×C8×C61C2418yes—
224C4⋊C4×C61C2×D414yes—
225C22⋊C4×C61C2×D414yes—
226C22⋊C4×C61C2×D414yes—
227C42×C61C2×D412yes—
228C42×C61C2412yes—
229C22⋊Dic61—24no—
230#11758198—24no—
231#11758198—24no—
232#11758198—24no—
233#11758198—24no—
234#11758198—24no—
235#11758198—24no—
236#11758198—24no—
237#11758198—24no—
238C4⋊Dic61—21no—
239C4⋊Dic61—22no—
240C4⋊Dic61—22no—
241C4⋊Dic61—22no—
242C4⋊Dic61C2414yes—
243C4⋊Dic61C2412yes—
244#11758196—24no—
245D488—216no—
246D488—48no—
247#11758190—48no—
248C23×C61—22no—
249C23×C61—41no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61—41no—
253C23×C61AGL(1,ℤ/8)14yescomplemented
254C23×C61C22×D412yes—
255C23×C61C22×D412yes—
256C23×C61C22×D411yescharacteristic
257C22×D61—24no—
258C22×D61—22no—
259C22×D61—22no—
260C22×D61—24no—
261C22×D61—48no—
262C22×D61—42no—
263C22×D61—42no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61—48no—
267C22×D61—42no—
268C22×D61—44no—
269C22×D61—44no—
270C22×D61—84no—
271C22×D61—82no—
272C22×D61—82no—
273C22×D61—82no—
274C22×D61—82no—
275C22×D61—816no—
276D4×C61—28no—
277C2×C4×C61—22no—
278C2×C4×C61—24no—
279C2×C4×C61—24no—
280C2×C4×C61—22no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—42no—
284C2×C4×C61—41no—
285C2×C4×C61—42no—
286C2×C4×C61C22×D412yes—
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C22×D412yes—
289C2×C4×C61C22×D412yes—
290C2×C4×C61C22×D412yes—
291C2×C4×C61C2511yescharacteristic
292C22⋊D61—48no—
293C22⋊D61—48no—
294C22⋊D61—48no—
295C22⋊D61—48no—
296C22⋊D61—84no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—24no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—44no—
303C2×Dic61—44no—
304D244—24no—
305D244—22no—
306D244—28no—
307D244—24no—
308D244—48no—
309D244—42no—
310D244—44no—
311D244—82no—
312D244—82no—
313D244—82no—
314D244H(5,𝔽2)14yescomplemented
315C4×D61—48no—
316C4×D61—48no—
317C4×D61—84no—
318Dic122—24no—
319Dic122—42no—
320Dic122—44no—
321C8×C61—28no—
322#61569—611nomaximal, Sylow
323C22×C61—21no—
324C22×C61—22no—
325C22×C61—21no—
326C22×C61—22no—
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—44no—
331C22×C61—82no—
332C22×C61C2×AGL(1,ℤ/8)14yes—
333C22×C61C2×AGL(1,ℤ/8)12yes—
334C22×C61C23×D411yescharacteristic
335C2×D61—24no—
336C2×D61—48no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—44no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—44no—
343C2×D61—44no—
344C2×D61—42no—
345C2×D61—816no—
346C2×D61—84no—
347C2×D61—164no—
348C2×D61—164no—
349C4×C61—22no—
350C4×C61—21no—
351C4×C61—22no—
352C4×C61—22no—
353C4×C61—22no—
354C4×C61C2×H(5,𝔽2)12yes—
355Dic61—42no—
356Dic61—42no—
357Dic61—44no—
358#3496—611no—
359C2×#546—611no—
360#3306—618no—
361#3264—618no—
362#3213—612no—
363#3192—612no—
364#3187—612no—
365#3109—612no—
366#3006—612no—
367C2×#447—612no—
368#2973D6111yescharacteristic, complemented
369C2×C61—22no—
370C2×C61—24no—
371C2×C61—42no—
372C2×C61#348411yescharacteristic
373C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
374C2×C61#358511yescharacteristic
375D61—44no—
376D61—82no—
377D61—84no—
378C2×H(5,𝔽2)—1221no—
379C22×#41—611no—
380C23×D4—611no—
381C2×AGL(1,ℤ/8)—614no—
382C22×D8—614no—
383#547—614no—
384#546—618no—
385#546—1224no—
386#546—1224no—
387D42—614no—
388#537—1221no—
389#534—1221no—
390#534—1221no—
391#532—612no—
392C2×#124—611no—
393C2×#123—1221no—
394C2×C22⋊Q8—611no—
395C2×#121—612no—
396C2×#121—611no—
397C2×#121—612no—
398C2×#121—1221no—
399C2×#120—1221no—
400C2×C4×D4—611no—
401C2×C4×D4C2×D6111yescharacteristic
402C22×C22⋊C4—1221no—
403#496—614no—
404#489—614no—
405#483—614no—
406#481—614no—
407#481—614no—
408#476—614no—
409#469—618no—
410#465—618no—
411#463—618no—
412#459—614no—
413#450—614no—
414#449—618no—
415#448—614no—
416#447—614no—
417#447—614no—
418#447—618no—
419#447—614no—
420#442—618no—
421#435C2×D6118yescomplemented
422#432C2×D6112yescomplemented
423#417—614no—
424C2×#102—614no—
425#407C2×D6112yescomplemented
426C2×C22⋊C8C2×D6112yescomplemented
427C61#6156911yescharacteristic, complemented, Sylow
428C25—1221no—
429H(5,𝔽2)—2448no—
430C2×#41—614no—
431C2×#41—1224no—
432C2×#41—1222no—
433C2×#41—1222no—
434C2×#41—2444no—
435C22×Q8—611no—
436C22×D4—611no—
437C22×D4—614no—
438C22×D4—611no—
439C22×D4—612no—
440C22×D4—612no—
441C22×D4—1221no—
442C22×D4—1221no—
443C22×D4—1222no—
444C22×D4—1222no—
445C22×D4—1224no—
446C22×D4—1221no—
447C22×D4—1222no—
448C22×D4—2444no—
449C22×D4D24411yescharacteristic
450C23×C4—1221no—
451C23×C4—1221no—
452C23×C4C22×D6111yescharacteristic
453C23×C4C22×D6111yescharacteristic
454AGL(1,ℤ/8)—2448no—
455C2×SD16—618no—
456C2×D8—618no—
457C2×D8—618no—
458C2×D8—2448no—
459C2×M16C22×D6114yescomplemented
460C22×C8C22×D6114yes—
461C4⋊Q8—612no—
462#127—612no—
463#124—614no—
464#124—1222no—
465#124—1222no—
466#123—1228no—
467#123—1224no—
468#123—1224no—
469C22⋊Q8—614no—
470C22⋊Q8—1222no—
471C22⋊Q8—1224no—
472#121—614no—
473#121—614no—
474#121—614no—
475#121—614no—
476#121—1222no—
477#121—1222no—
478#121—1222no—
479#121—1222no—
480#121—1222no—
481#121—1222no—
482#121—1224no—
483#121—1228no—
484#120—1228no—
485#120—1224no—
486#120—1224no—
487C4×D4—614no—
488C4×D4—614no—
489C4×D4—1222no—
490C4×D4—1222no—
491C4×D4D24414yes—
492C4×D4C22×D6114yes—
493C2×C4⋊C4—611no—
494C2×C4⋊C4—612no—
495C2×C4⋊C4—612no—
496C2×C4⋊C4—1221no—
497C2×C4⋊C4D24411yescharacteristic
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1221no—
500C2×C22⋊C4—1221no—
501C2×C22⋊C4—1221no—
502C2×C22⋊C4—1221no—
503C2×C22⋊C4—1222no—
504C2×C22⋊C4—1222no—
505C2×C22⋊C4—1228no—
506C2×C22⋊C4D24411yescharacteristic
507C2×C22⋊C4D24411yescharacteristic
508C2×C42C22×D6111yescharacteristic
509#106—618no—
510C4⋊C8C22×D6114yescomplemented
511#103—618no—
512#102—618no—
513#102—618no—
514#102—618no—
515C22⋊C8C22×D6114yes—
516C22⋊C8C22×D6114yes—
517C22⋊C8C22×D6114yescomplemented
518#97C22×D6114yescomplemented
519C24—1221no—
520C24—1222no—
521C24—1222no—
522C24—1224no—
523C24—1221no—
524C24—4882no—
525C24—2444no—
526C24—2444no—
527C24C2×D24411yescharacteristic
528C24C2×D24411yescharacteristic
529#41—1228no—
530#41—2444no—
531#41—2448no—
532#41—2448no—
533#41—24416no—
534C2×Q8—612no—
535C2×Q8—1221no—
536C2×Q8—1222no—
537C2×Q8—2442no—
538C2×D4—24no—
539C2×D4—612no—
540C2×D4—612no—
541C2×D4—614no—
542C2×D4—1224no—
543C2×D4—1228no—
544C2×D4—1224no—
545C2×D4—1224no—
546C2×D4—1224no—
547C2×D4—1224no—
548C2×D4—1224no—
549C2×D4—1221no—
550C2×D4—1222no—
551C2×D4—1222no—
552C2×D4—1222no—
553C2×D4—1224no—
554C2×D4—1221no—
555C2×D4—1222no—
556C2×D4—4882no—
557C2×D4—2444no—
558C2×D4—2444no—
559C2×D4—2444no—
560C2×D4—2442no—
561C2×D4—2448no—
562C2×D4—2444no—
563C2×D4—24416no—
564C2×D4—2448no—
565C2×D4—2444no—
566C2×D4—2448no—
567C2×D4C2×D24414yes—
568C22×C4—42no—
569C22×C4—42no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—1222no—
573C22×C4—1222no—
574C22×C4—1224no—
575C22×C4—1224no—
576C22×C4—1224no—
577C22×C4—4882no—
578C22×C4—2444no—
579C22×C4C2×D24411yescharacteristic
580C22×C4C2×D24411yescharacteristic
581C22×C4C2×D24411yescharacteristic
582C22×C4C2×D24412yes—
583C22×C4C2×D24412yes—
584C22×C4C2×D24411yescharacteristic
585C22×C4C23×D6111yescharacteristic
586C22×C4C23×D6112yes—
587C22×C4C23×D6112yes—
588SD16—2448no—
589D8—12216no—
590D8—2448no—
591M16—44no—
592C2×C8—44no—
593C2×C8C23×D6118yes—
594C4⋊C4—614no—
595C4⋊C4—612no—
596C4⋊C4—1221no—
597C4⋊C4—1222no—
598C4⋊C4—1222no—
599C4⋊C4—1224no—
600C4⋊C4—1222no—
601C4⋊C4C2×D24414yes—
602C22⋊C4—1224no—
603C22⋊C4—1224no—
604C22⋊C4—1224no—
605C22⋊C4—1224no—
606C22⋊C4—1224no—
607C22⋊C4—1224no—
608C22⋊C4—1224no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C22⋊C4C2×D24414yes—
612C22⋊C4C2×D24414yes—
613C42C2×D24412yes—
614C42C23×D6112yes—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—1224no—
621C23—1222no—
622C23—1222no—
623C23—1224no—
624C23—4882no—
625C23—4882no—
626C23—4882no—
627C23—4882no—
628C23—4884no—
629C23—48816no—
630C23—2448no—
631C23—2444no—
632C23—2442no—
633C23—2442no—
634C23—2442no—
635C23—2444no—
636C23—2442no—
637C23—2448no—
638C23—2442no—
639C23#1451980514yescomplemented
640C23C22×D24412yes—
641C23C22×D24412yes—
642C23C22×D24411yescharacteristic
643Q8—1224no—
644Q8—2442no—
645Q8—2444no—
646D4—28no—
647D4—614no—
648D4—1224no—
649D4—1222no—
650D4—1228no—
651D4—1224no—
652D4—4882no—
653D4—4882no—
654D4—4882no—
655D4—4884no—
656D4—2448no—
657D4—2442no—
658D4—2444no—
659D4—2448no—
660D4—2448no—
661D4—2448no—
662D4—2448no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1224no—
675C2×C4—4884no—
676C2×C4—2448no—
677C2×C4—2448no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4—2444no—
681C2×C4—2444no—
682C2×C4C22×D24411yescharacteristic
683C2×C4C22×D24412yes—
684C2×C4C22×D24412yes—
685C2×C4C22×D24412yes—
686C2×C4C22×D24412yes—
687C2×C4C24×D6111yescharacteristic
688C8—28no—
689C22—21no—
690C22—22no—
691C22—21no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—44no—
697C22—82no—
698C22—1224no—
699C22—9764no—
700C22—9764no—
701C22—4884no—
702C22—48816no—
703C22—2448no—
704C22—2444no—
705C22—2442no—
706C22—2442no—
707C22—2444no—
708C22—2444no—
709C22—2442no—
710C22—2442no—
711C22—2442no—
712C22C2×#1451980512yes—
713C22C2×#1451980514yes—
714C22C23×D24411yescharacteristic
715C4—22no—
716C4—22no—
717C4—21no—
718C4—22no—
719C4—22no—
720C4—2444no—
721C4—2442no—
722C4—2442no—
723C4H(5,𝔽2)×D6112yes—
724C2—22no—
725C2—24no—
726C2—42no—
727C2—4884no—
728C2—4882no—
729C2—2444no—
730C2#2145945511yescharacteristic
731C2C22×#1451980511yescharacteristic
732C2#2146060011yescharacteristic
subgroupG/H
centerC22C23×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#2973C2
socleC22×C61C23×D4
hypercenter#2973D61
hypocenterC61#61569
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2973

Complements

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

NH ≅ G/Ntype
1. #21459583C2semidirect
2. C2×#16840408C2semidirect
3. #21457782C2semidirect
4. #21457304C2semidirect
5. #21456808C2semidirect
6. #21456619C2semidirect
7. #21456577C2semidirect
8. #21455911C2semidirect
9. #21455073C2semidirect
10. C2×#16839898C2semidirect
11. C61×#2973C2semidirect
13. C22×#11758222C22semidirect
14. C23×D244C22semidirect
15. C2×#14519805C22semidirect
16. C22×D488C22semidirect
17. #16840416C22semidirect
19. #16840408C22semidirect
21. D4×D244C22semidirect
25. #16840312C22semidirect
26. C2×#14519765C22semidirect
28. C2×#14519756C22semidirect
30. C2×#14519751C22semidirect
31. C2×#14519751C22semidirect
34. C2×C4×D244C22semidirect
36. #16840151C22semidirect
37. #16840122C22semidirect
38. #16840093C22semidirect
39. #16840081C22semidirect
40. #16840081C22semidirect
41. #16840053C22semidirect
42. #16840015C22semidirect
43. #16839991C22semidirect
44. #16839978C22semidirect
45. #16839958C22semidirect
46. #16839915C22semidirect
47. #16839909C22semidirect
48. #16839903C22semidirect
49. #16839898C22semidirect
50. #16839898C22semidirect
51. #16839898C22semidirect
52. #16839898C22semidirect
53. #16839875C22semidirect
54. #16839764C22semidirect
55. C2×#14519699C22semidirect
57. C61×#435C22semidirect
58. C61×#432C22semidirect
59. C61×#407C22semidirect
60. C2×C22⋊C8×C61C22semidirect
76. C22×D244C23semidirect
85. C2×#11758190C23semidirect
89. #14519777C23semidirect
90. #14519774C23semidirect
110. #14519751C23semidirect
118. C4×D244C23semidirect
121. C2×C4⋊Dic61C23semidirect
131. #14519709C23semidirect
132. #14519702C23semidirect
135. #14519699C23semidirect
139. C2×M16×C61C23semidirect
147. C4⋊C8×C61C23semidirect
150. C22⋊C8×C61C23semidirect
151. #97×C61C23semidirect
253. C23×C61AGL(1,ℤ/8)semidirect
314. D244H(5,𝔽2)semidirect
368. #2973D61semidirect
421. #435C2×D61semidirect
422. #432C2×D61semidirect
425. #407C2×D61semidirect
426. C2×C22⋊C8C2×D61semidirect
427. C61#61569semidirect
459. C2×M16C22×D61semidirect
510. C4⋊C8C22×D61semidirect
517. C22⋊C8C22×D61semidirect
518. #97C22×D61semidirect
639. C23#14519805semidirect

Maximal subgroups

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

subgroupindex
#214595832
C2×#168404082
#214577822
#214573042
#214568082
#214566192
#214565772
#214559112
#214550732
C2×#168398982
C61×#29732
#6156961