Finite Group Databasebeta

← #29852664

Subgroups — #29852664

Order 15616.

2834 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
1C2×#16840361C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D61C211yesmaximal, characteristic, complemented
3#21454112C212yesmaximal, complemented
4#21454103C211yesmaximal, characteristic, complemented
5#21454102C211yesmaximal, characteristic
6#21451605C212yesmaximal, complemented
7#21451561C211yesmaximal, characteristic, complemented
8#21450083C214yesmaximal, complemented
9#21449963C214yesmaximal, complemented
10#21449621C214yesmaximal, complemented
11#21449555C214yesmaximal, complemented
12#21448485C212yesmaximal, complemented
13#21448421C211yesmaximal, characteristic, complemented
14#21448320C212yesmaximal, complemented
15C61×#2627C211yesmaximal, characteristic, complemented
16C23×C4×D61C2211yescharacteristic
17C23×C4×D61C2211yescharacteristic
18C23×C4×D61C2211yescharacteristic
19#16840361—28no—
20C2×#14519772C2212yescomplemented
21C2×#14519768C2212yescomplemented
22C2×#14519762C2212yescomplemented
23C2×#14519761C2212yes—
24C2×#14519760C2212yes—
25C2×#14519753C2212yes—
26C2×#14519753C2212yescomplemented
27C2×#14519752C2212yes—
28C2×#14519751C2211yescharacteristic
29C2×#14519747C2212yes—
30C2×#14519739C2214yes—
31C2×#14519737C2212yes—
32C22×C4⋊Dic61C2211yescharacteristic
33C22×#11758196C2211yescharacteristic
34C22×#11758196C2211yescharacteristic
35C2×C4⋊C4×D61—28no—
36C2×C4⋊C4×D61C2214yes—
37C2×C4⋊C4×D61C2214yes—
38#16839704C2214yescomplemented
39#16839697C2214yescomplemented
40#16839695C2214yescomplemented
41#16839692C2212yescomplemented
42#16839691C2214yescomplemented
43#16839684C2214yescomplemented
44#16839679C2212yescomplemented
45#16839659C2214yescomplemented
46#16839654C2214yescomplemented
47#16839649C2214yescomplemented
48#16839649C2214yescomplemented
49#16839643C2214yescomplemented
50#16839641C2212yes—
51#16839640C2214yes—
52#16839640C2214yes—
53#16839640C2214yes—
54#16839640C2214yes—
55#16839639C2212yes—
56#16839636C2214yes—
57#16839636C2214yes—
58#16839636C2214yescomplemented
59#16839634C2212yes—
60#16839633C2214yes—
61#16839633C2214yes—
62#16839623C2212yes—
63#16839622C2211yescharacteristic
64#16839619C2212yes—
65#16839619C2212yes—
66#16839617C2212yes—
67C22⋊C4×Dic61C2212yes—
68#16839609C2214yes—
69C2×C22⋊Q8×C61C2211yescharacteristic
70C22×C4⋊C4×C61C2211yescharacteristic
71C61×#400C2212yescomplemented
72C61×#398C2214yescomplemented
73C61×#395C2212yescomplemented
74C61×#385C2212yes—
75C61×#381C2212yes—
76C61×#380C2211yescharacteristic
77C24×D61C2311yescharacteristic
78C22×D244C2314yes—
79C22×D244C2311yescharacteristic
80C22×C22⋊D61C2312yes—
81C23×Dic61C2311yescharacteristic
82C23×Dic61C2311yescharacteristic
83C23×Dic61C2311yescharacteristic
84C22×C4×D61—24no—
85C22×C4×D61—24no—
86C22×C4×D61—24no—
87C22×C4×D61—24no—
88C22×C4×D61—24no—
89C22×C4×D61—44no—
90C22×C4×D61—44no—
91C22×C4×D61C2314yes—
92C22×C4×D61C2314yes—
93C22×C4×D61C2312yes—
94C22×C4×D61C2312yes—
95C22×C4×D61C2312yes—
96#14519772—28no—
97#14519768—28no—
98#14519762—28no—
99#14519761—28no—
100#14519760—28no—
101#14519753—28no—
102#14519753—44no—
103#14519752—44no—
104#14519751—24no—
105#14519747—28no—
106#14519739—48no—
107#14519737—28no—
108C2×C4⋊Dic61—24no—
109C2×C4⋊Dic61C2311yescharacteristic
110C2×C4⋊Dic61C2312yes—
111C2×C4⋊Dic61C2314yes—
112C2×C4⋊Dic61C2312yes—
113C2×C4⋊Dic61C2312yes—
114C2×#11758196—24no—
115C2×#11758196D418yescomplemented
116C2×#11758196C2314yes—
117C2×#11758196C2314yes—
118C2×#11758196C2312yes—
119C2×#11758196C2314yes—
120C2×#11758196C2312yes—
121C2×#11758196C2312yes—
122C4⋊C4×D61—216no—
123C4⋊C4×D61—216no—
124C2×C22⋊Dic61C2312yes—
125C2×#11758198C2312yes—
126C2×#11758198C2314yes—
127C2×#11758198C2312yes—
128C2×#11758198C2312yes—
129C2×#11758198C2312yes—
130C2×#11758198C2314yes—
131C2×#11758198C2314yes—
132C2×#11758198C2314yes—
133C2×#11758198C2314yes—
134C2×#11758198C2314yes—
135C2×C4×Dic61C2312yes—
136C2×C4×Dic61C2314yes—
137#14519684C2314yes—
138#14519684C2314yes—
139#14519684C2314yes—
140#14519684C2312yes—
141#14519684C2314yes—
142#14519684C2314yes—
143#14519684C2314yes—
144C22×Q8×C61C2311yescharacteristic
145C23×C4×C61C2311yescharacteristic
146C23×C4×C61C2311yescharacteristic
147C23×C4×C61C2311yescharacteristic
148C22⋊Q8×C61—24no—
149C2×C4⋊C4×C61—24no—
150C2×C4⋊C4×C61C2312yes—
151C2×C4⋊C4×C61C2312yes—
152C2×C4⋊C4×C61C2312yes—
153C2×C4⋊C4×C61C2311yescharacteristic
154C2×C4⋊C4×C61C2314yes—
155C2×C4⋊C4×C61C2312yes—
156C2×C22⋊C4×C61C2312yes—
157C2×C22⋊C4×C61C2312yes—
158#95×C61C2314yes—
159#95×C61C2312yes—
160#95×C61C2314yes—
161#95×C61C2314yes—
162C24×C61C2411yescharacteristic
163C23×D61—22no—
164C23×D61—22no—
165C23×D61—24no—
166C23×D61—24no—
167C23×D61#4114yes—
168C23×D61C2412yes—
169C23×D61C2412yes—
170C2×Q8×C61—22no—
171C2×Q8×C61—42no—
172C22×C4×C61—22no—
173C22×C4×C61—22no—
174C22×C4×C61—22no—
175C22×C4×C61—42no—
176C22×C4×C61—42no—
177C22×C4×C61C2×D414yes—
178C22×C4×C61#4114yes—
179C22×C4×C61C2412yes—
180C22×C4×C61C2412yes—
181C22×C4×C61C2414yes—
182C22×C4×C61C2412yes—
183C22×C4×C61C2411yescharacteristic
184C22×C4×C61C2411yescharacteristic
185C22×C4×C61C2412yes—
186C2×C22⋊D61—24no—
187C2×C22⋊D61—24no—
188C2×C22⋊D61—24no—
189C22×Dic61—22no—
190C22×Dic61—22no—
191C22×Dic61—22no—
192C22×Dic61—42no—
193C22×Dic61—42no—
194C22×Dic61C2×D414yes—
195C22×Dic61C2×D414yes—
196C22×Dic61C2412yes—
197C22×Dic61C2412yes—
198C22×Dic61C2414yes—
199C22×Dic61C2412yes—
200C22×Dic61C2412yes—
201C2×D244—28no—
202C2×D244—28no—
203C2×D244—28no—
204C2×D244—22no—
205C2×D244—42no—
206C2×C4×D61—232no—
207C2×C4×D61—28no—
208C2×C4×D61—28no—
209C2×C4×D61—28no—
210C2×C4×D61—28no—
211C2×C4×D61—24no—
212C2×C4×D61—24no—
213C2×C4×D61—24no—
214C2×C4×D61—24no—
215C2×C4×D61—28no—
216C2×C4×D61—24no—
217C2×C4×D61—44no—
218C2×C4×D61—42no—
219C2×C4×D61—42no—
220C2×C4×D61—416no—
221C2×C4×D61—416no—
222C2×C4×D61—44no—
223C4⋊C4×C61—24no—
224C4⋊C4×C61—24no—
225C4⋊C4×C61—24no—
226C4⋊C4×C61—22no—
227C4⋊C4×C61—44no—
228C4⋊C4×C61—42no—
229C22⋊C4×C61—24no—
230C22⋊C4×C61—24no—
231C22⋊Dic61—24no—
232#11758198—28no—
233#11758198—28no—
234#11758198—28no—
235#11758198—24no—
236#11758198—28no—
237#11758198—24no—
238#11758198—24no—
239#11758198—24no—
240#11758198—44no—
241#11758198—44no—
242C4⋊Dic61—22no—
243C4⋊Dic61—28no—
244C4⋊Dic61—24no—
245C4⋊Dic61—24no—
246C4⋊Dic61—42no—
247#11758196—28no—
248#11758196—28no—
249#11758196—24no—
250#11758196—44no—
251#11758196C2×D418yes—
252#11758196C2×D418yes—
253C4×Dic61—24no—
254C4×Dic61—44no—
255C23×C61—22no—
256C23×C61—22no—
257C23×C61C22×D412yes—
258C23×C61C2×#4112yes—
259C23×C61C2×#4112yes—
260C23×C61C2511yescharacteristic
261C22×D61—28no—
262C22×D61—28no—
263C22×D61—216no—
264C22×D61—28no—
265C22×D61—22no—
266C22×D61—22no—
267C22×D61—22no—
268C22×D61—22no—
269C22×D61—216no—
270C22×D61—22no—
271C22×D61—22no—
272C22×D61—22no—
273C22×D61—24no—
274C22×D61—24no—
275C22×D61C2×#4114yes—
276C22×D61H(5,𝔽2)14yes—
277C22×D612−1+414yes—
278Q8×C61—82no—
279C2×C4×C61—28no—
280C2×C4×C61—22no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—22no—
284C2×C4×C61—22no—
285C2×C4×C61—22no—
286C2×C4×C61—22no—
287C2×C4×C61—24no—
288C2×C4×C61—24no—
289C2×C4×C61—24no—
290C2×C4×C61—24no—
291C2×C4×C61—24no—
292C2×C4×C61—24no—
293C2×C4×C61—44no—
294C2×C4×C61—44no—
295C2×C4×C61C22×D412yes—
296C2×C4×C61C22×D412yes—
297C2×C4×C61C2×#4114yes—
298C22⋊D61—48no—
299C2×Dic61—28no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—24no—
303C2×Dic61—22no—
304C2×Dic61—22no—
305C2×Dic61—22no—
306C2×Dic61—24no—
307C2×Dic61—22no—
308C2×Dic61—24no—
309C2×Dic61—22no—
310C2×Dic61—22no—
311C2×Dic61—24no—
312C2×Dic61—44no—
313C2×Dic61—44no—
314C2×Dic61C22×D414yes—
315C2×Dic61C22×D414yes—
316D244—416no—
317D244—82no—
318C4×D61—232no—
319C4×D61—416no—
320C4×D61—48no—
321C4×D61—48no—
322C4×D61—84no—
323#34989—611nomaximal, Sylow
324C22×C61—24no—
325C22×C61—22no—
326C22×C61—22no—
327C22×C61—24no—
328C22×C61#52514yes—
329C22×C61C23×D411yescharacteristic
330C22×C61C22×#4111yescharacteristic
331C22×C61C22×#4111yescharacteristic
332C22×C61C2×H(5,𝔽2)12yes—
333C22×C61C2×2−1+412yes—
334C2×D61—232no—
335C2×D61—24no—
336C2×D61—24no—
337C2×D61—24no—
338C2×D61—24no—
339C2×D61—24no—
340C2×D61—24no—
341C2×D61—42no—
342C2×D61—44no—
343C2×D61—42no—
344C2×D61—42no—
345C2×D61—44no—
346C2×D61#53918yescomplemented
347C4×C61—24no—
348C4×C61—22no—
349C4×C61—22no—
350C4×C61—44no—
351C4×C61—42no—
352C4×C61—42no—
353C4×C61—42no—
354Dic61—24no—
355Dic61—24no—
356Dic61—42no—
357Dic61—42no—
358Dic61—44no—
359C2×#539—611no—
360C23×C4⋊C4—611no—
361#2849—612no—
362#2848—611no—
363#2847—611no—
364#2627D6111yescharacteristic, complemented
365#2623—612no—
366#2618—611no—
367#2481—614no—
368#2473—614no—
369#2449—614no—
370#2443—614no—
371#2322—612no—
372#2313—611no—
373C4×#120—612no—
374C2×C61—24no—
375C2×C61C2×#52511yescharacteristic
376C2×C61C2×#53912yes—
377C2×C61#348411yescharacteristic
378C2×C61#348611yescharacteristic
379C2×C61#349212yes—
380D61—28no—
381D61—82no—
382C24×C4—611no—
383C24×C4—611no—
384C24×C4—611no—
385#539—1228no—
386C2×#126—612no—
387C2×#125—612no—
388C2×#123—612no—
389C2×#123—612no—
390C2×#123—612no—
391C2×C22⋊Q8—612no—
392C2×C22⋊Q8—612no—
393C2×C22⋊Q8C2×D6111yescharacteristic
394C2×#121—611no—
395C2×#121—612no—
396C2×#120—612no—
397C2×C4×D4—614no—
398C2×C4×D4—612no—
399C22×C4⋊C4—611no—
400C22×C4⋊C4—611no—
401C22×C4⋊C4—611no—
402C22×C4⋊C4—614no—
403C22×C4⋊C4—614no—
404C22×C4⋊C4—1228no—
405C22×C4⋊C4C2×D6111yescharacteristic
406#400—614no—
407#400C2×D6112yescomplemented
408#399—614no—
409#398—612no—
410#398—614no—
411#398C2×D6114yescomplemented
412#397—614no—
413#396—614no—
414#395C2×D6112yescomplemented
415#394—612no—
416#389—614no—
417#388—614no—
418#387—614no—
419#387—614no—
420#387—614no—
421#386—612no—
422#386—612no—
423#386—614no—
424#386—614no—
425#386—614no—
426#386—614no—
427#385—614no—
428#385—614no—
429#385—612no—
430#385—614no—
431#385—614no—
432#385—614no—
433#385C2×D6112yes—
434#381—612no—
435#381C2×D6112yes—
436#380—611no—
437#380—612no—
438#380—612no—
439#380C2×D6111yescharacteristic
440#379—612no—
441C4×C22⋊C4—612no—
442C4×C22⋊C4—614no—
443C61#3498911yescharacteristic, complemented, Sylow
444C25—611no—
445C22×Q8C22×D6111yescharacteristic
446C22×D4—612no—
447C22×D4—614no—
448C22×D4—611no—
449C23×C4—611no—
450C23×C4—611no—
451C23×C4—611no—
452C23×C4—614no—
453C23×C4—614no—
454C23×C4—612no—
455C23×C4—612no—
456C23×C4—612no—
457C23×C4—1224no—
458C23×C4—1224no—
459C23×C4—1224no—
460C23×C4—1224no—
461C23×C4—1224no—
462C23×C4—2444no—
463C23×C4—2444no—
464C23×C4C22×D6111yescharacteristic
465C23×C4C22×D6111yescharacteristic
466C23×C4C22×D6111yescharacteristic
467#126—1228no—
468#125—1228no—
469#123—1228no—
470#123—1228no—
471#123—1228no—
472C22⋊Q8—24no—
473C22⋊Q8—1228no—
474C22⋊Q8—2444no—
475#121—1224no—
476#121—2444no—
477#120—1228no—
478C4×D4—1228no—
479C4×D4—2448no—
480C2×C4⋊C4—24no—
481C2×C4⋊C4—618no—
482C2×C4⋊C4—612no—
483C2×C4⋊C4—612no—
484C2×C4⋊C4—614no—
485C2×C4⋊C4—614no—
486C2×C4⋊C4—612no—
487C2×C4⋊C4—611no—
488C2×C4⋊C4—612no—
489C2×C4⋊C4—612no—
490C2×C4⋊C4—614no—
491C2×C4⋊C4—612no—
492C2×C4⋊C4—614no—
493C2×C4⋊C4—12216no—
494C2×C4⋊C4—12216no—
495C2×C4⋊C4—1224no—
496C2×C4⋊C4—1224no—
497C2×C4⋊C4C22×D6112yes—
498C2×C4⋊C4C22×D6112yes—
499C2×C4⋊C4C22×D6112yes—
500C2×C4⋊C4C22×D6111yescharacteristic
501C2×C4⋊C4C22×D6114yes—
502C2×C4⋊C4C22×D6112yes—
503C2×C22⋊C4—612no—
504C2×C22⋊C4—614no—
505C2×C22⋊C4—612no—
506C2×C22⋊C4—614no—
507C2×C22⋊C4—612no—
508C2×C22⋊C4—612no—
509C2×C22⋊C4—612no—
510C2×C22⋊C4—614no—
511C2×C22⋊C4—614no—
512C2×C22⋊C4—614no—
513C2×C22⋊C4—614no—
514C2×C22⋊C4C22×D6112yes—
515C2×C22⋊C4C22×D6112yes—
516C2×C42—612no—
517C2×C42—614no—
518#95—614no—
519#95—614no—
520#95—612no—
521#95—614no—
522#95—614no—
523#95—614no—
524#95—614no—
525#95C22×D6114yes—
526#95C22×D6112yes—
527#95C22×D6114yes—
528#95C22×D6114yes—
529C24—612no—
530C24—614no—
531C24—612no—
532C24—1224no—
533C24—1224no—
534C24—1222no—
535C24—1222no—
536C24C23×D6111yescharacteristic
537C2×Q8—22no—
538C2×Q8—42no—
539C2×D4—1228no—
540C2×D4—1228no—
541C2×D4—1228no—
542C2×D4—1224no—
543C2×D4—1224no—
544C2×D4—1224no—
545C2×D4—1222no—
546C2×D4—2442no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—614no—
553C22×C4—612no—
554C22×C4—612no—
555C22×C4—614no—
556C22×C4—614no—
557C22×C4—612no—
558C22×C4—612no—
559C22×C4—1228no—
560C22×C4—1224no—
561C22×C4—1228no—
562C22×C4—1228no—
563C22×C4—12232no—
564C22×C4—1228no—
565C22×C4—1224no—
566C22×C4—1224no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1228no—
570C22×C4—1222no—
571C22×C4—1224no—
572C22×C4—1224no—
573C22×C4—2444no—
574C22×C4—2442no—
575C22×C4—2442no—
576C22×C4—2444no—
577C22×C4—24416no—
578C22×C4—24416no—
579C22×C4—2442no—
580C22×C4—2442no—
581C22×C4D4×D6114yes—
582C22×C4#1175822614yes—
583C22×C4C23×D6114yes—
584C22×C4C23×D6112yes—
585C22×C4C23×D6112yes—
586C22×C4C23×D6112yes—
587C22×C4C23×D6111yescharacteristic
588C22×C4C23×D6111yescharacteristic
589C22×C4C23×D6112yes—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—24no—
593C4⋊C4—22no—
594C4⋊C4—44no—
595C4⋊C4—42no—
596C4⋊C4—618no—
597C4⋊C4—618no—
598C4⋊C4—1228no—
599C4⋊C4—1228no—
600C4⋊C4—1224no—
601C4⋊C4—1224no—
602C4⋊C4—1224no—
603C4⋊C4—1222no—
604C4⋊C4—1228no—
605C4⋊C4—2444no—
606C4⋊C4—2442no—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—1224no—
610C22⋊C4—1224no—
611C22⋊C4—1224no—
612C22⋊C4—1228no—
613C22⋊C4—1228no—
614C22⋊C4—1228no—
615C22⋊C4—1224no—
616C22⋊C4—1224no—
617C22⋊C4—1228no—
618C22⋊C4—2444no—
619C22⋊C4—2444no—
620C42—1224no—
621C42—2444no—
622C23—22no—
623C23—22no—
624C23—614no—
625C23—614no—
626C23—614no—
627C23—12216no—
628C23—1228no—
629C23—1228no—
630C23—12216no—
631C23—1228no—
632C23—1222no—
633C23—1222no—
634C23—1222no—
635C23—1222no—
636C23—1222no—
637C23—1222no—
638C23—1222no—
639C23—1224no—
640C23—1224no—
641C23C2×D4×D6112yes—
642C23#41×D6112yes—
643C23C2×#1175822612yes—
644C23C24×D6111yescharacteristic
645Q8—82no—
646D4—4882no—
647D4—24416no—
648D4—2448no—
649C2×C4—28no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—614no—
666C2×C4—614no—
667C2×C4—12232no—
668C2×C4—1228no—
669C2×C4—1222no—
670C2×C4—1222no—
671C2×C4—1224no—
672C2×C4—1222no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1224no—
676C2×C4—1222no—
677C2×C4—1224no—
678C2×C4—1222no—
679C2×C4—1222no—
680C2×C4—1224no—
681C2×C4—4884no—
682C2×C4—2448no—
683C2×C4—2448no—
684C2×C4—24416no—
685C2×C4—2444no—
686C2×C4—2444no—
687C2×C4C2×D4×D6112yes—
688C2×C4C2×D4×D6112yes—
689C2×C4C2×#1175822614yes—
690C22—22no—
691C22—24no—
692C22—24no—
693C22—22no—
694C22—618no—
695C22—12232no—
696C22—1224no—
697C22—1224no—
698C22—1224no—
699C22—1224no—
700C22—1224no—
701C22—1224no—
702C22—2442no—
703C22—2444no—
704C22—2442no—
705C22—2444no—
706C22—2442no—
707C22#1684027514yes—
708C22C22×D4×D6111yescharacteristic
709C22C2×#41×D6111yescharacteristic
710C22C22×#1175822611yescharacteristic
711C22H(5,𝔽2)×D6112yes—
712C222−1+4×D6112yes—
713C4—24no—
714C4—22no—
715C4—22no—
716C4—42no—
717C4—44no—
718C4—42no—
719C4—42no—
720C4—1224no—
721C4—1224no—
722C4—2444no—
723C4—2442no—
724C4—2442no—
725C2—24no—
726C2—1228no—
727C2—4882no—
728C2C2×#1684027511yescharacteristic
729C2#539×D6112yes—
730C2#2145945111yescharacteristic
731C2#2145946811yescharacteristic
732C2#2145952912yes—
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2627C2
prime radical#21454102C2
hypercenter#2627D61
hypocenterC61#34989
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2627

Complements

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

NH ≅ G/Ntype
1. C2×#16840361C2semidirect
2. C22×C4⋊C4×D61C2semidirect
3. #21454112C2semidirect
4. #21454103C2semidirect
6. #21451605C2semidirect
7. #21451561C2semidirect
8. #21450083C2semidirect
9. #21449963C2semidirect
10. #21449621C2semidirect
11. #21449555C2semidirect
12. #21448485C2semidirect
13. #21448421C2semidirect
14. #21448320C2semidirect
15. C61×#2627C2semidirect
20. C2×#14519772C22semidirect
21. C2×#14519768C22semidirect
22. C2×#14519762C22semidirect
26. C2×#14519753C22semidirect
38. #16839704C22semidirect
39. #16839697C22semidirect
40. #16839695C22semidirect
41. #16839692C22semidirect
42. #16839691C22semidirect
43. #16839684C22semidirect
44. #16839679C22semidirect
45. #16839659C22semidirect
46. #16839654C22semidirect
47. #16839649C22semidirect
48. #16839649C22semidirect
49. #16839643C22semidirect
58. #16839636C22semidirect
71. C61×#400C22semidirect
72. C61×#398C22semidirect
73. C61×#395C22semidirect
115. C2×#11758196D4semidirect
346. C2×D61#539semidirect
364. #2627D61semidirect
407. #400C2×D61semidirect
411. #398C2×D61semidirect
414. #395C2×D61semidirect
443. C61#34989semidirect

Maximal subgroups

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

subgroupindex
C2×#168403612
C22×C4⋊C4×D612
#214541122
#214541032
#214541022
#214516052
#214515612
#214500832
#214499632
#214496212
#214495552
#214484852
#214484212
#214483202
C61×#26272
#3498961