Finite Group Databasebeta

← #28606896

Subgroups — #28606896

Order 15104.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837478C211yesmaximal, characteristic
2C2×#16837444C211yesmaximal, characteristic, complemented
3C2×#16837441C211yesmaximal, characteristic, complemented
4#21427040C211yesmaximal, characteristic
5#21426992C211yesmaximal, characteristic
6#21424858C211yesmaximal, characteristic, complemented
7#21424853C211yesmaximal, characteristic, complemented
8#21424298C211yesmaximal, characteristic, complemented
9#21424293C211yesmaximal, characteristic, complemented
10#21424290C211yesmaximal, characteristic, complemented
11#21424288C211yesmaximal, characteristic, complemented
12#21424251C211yesmaximal, characteristic, complemented
13#21424130C211yesmaximal, characteristic, complemented
14#107×Dic59C211yesmaximal, characteristic, complemented
15C59×#1809C211yesmaximal, characteristic, complemented
16C22×#11745659C2211yescharacteristic
17C2×C4×C22⋊D59C2211yescharacteristic
18C2×(C22⋊D59)⋊C4—21no—
19C2×#14273686C2211yescharacteristic
20C2×#14273685C2211yescharacteristic
21C22×C4⋊Dic59C2211yescharacteristic
22C2×C4⋊C4×D59C2211yescharacteristic
23#16837478C418yescomplemented
24#16837444—24no—
25#16837441—24no—
26C2×#14273661C2211yescharacteristic
27C2×#14273661C2211yescharacteristic
28C2×#14273660C2211yescharacteristic
29C2×#14273659C2211yescharacteristic
30C2×#14273659C2211yescharacteristic
31C2×#14273658C2211yescharacteristic
32C2×#14273658C2211yescharacteristic
33C2×#14273658C2211yescharacteristic
34C2×Dic59⋊C8C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×(C2×D59)⋊C8C2211yescharacteristic
37C2×C8×Dic59C2211yescharacteristic
38#16837302—21no—
39#16837299—21no—
40#16837296—21no—
41#16837291—21no—
42#16837276—21no—
43#16837274—21no—
44#16837271C2211yescharacteristic
45#16837271C2211yescharacteristic
46#16837259C2211yescharacteristic
47#16837259C2211yescharacteristic
48C4⋊C4×Dic59C2211yescharacteristic
49C4⋊C4×Dic59C2211yescharacteristic
50#16837253—21no—
51#16837164C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C22×M16×C59C2211yescharacteristic
56C2×#107×C59C2211yescharacteristic
57C2×#106×C59C2211yescharacteristic
58C59×#380C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×C22⋊D59D411yescharacteristic
63C23×Dic59—21no—
64C22×C4×D59—21no—
65C22×C4×D59C2311yescharacteristic
66C2×#11745659—22no—
67C2×#11745659—22no—
68C2×#11745659C2×C414yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C4×C22⋊D59C2×C414yes—
72C4×C22⋊D59Q814yes—
73(C22⋊D59)⋊C4—44no—
74#14273686—22no—
75#14273686—41no—
76#14273685—22no—
77#14273685—41no—
78C2×C4⋊Dic59—22no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—41no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×Dic59⋊C4—21no—
88C2×Dic59⋊C4—21no—
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4D411yescharacteristic
91C4⋊C4×D59—22no—
92C4⋊C4×D59—41no—
93C2×C22⋊Dic59—21no—
94C2×C22⋊Dic59D411yescharacteristic
95C2×(C2×D59)⋊C4—21no—
96C2×(C2×D59)⋊C4—21no—
97C2×(C2×D59)⋊C4—21no—
98C2×(C2×D59)⋊C4D411yescharacteristic
99C2×C4×Dic59—21no—
100C2×C4×Dic59—21no—
101C2×C4×Dic59—21no—
102C2×C4×Dic59—21no—
103C2×C4×Dic59C2311yescharacteristic
104#14273661—22no—
105#14273661D414yescomplemented
106#14273660—22no—
107#14273659—22no—
108#14273659—22no—
109#14273658—22no—
110#14273658—41no—
111#14273658—41no—
112Dic59⋊C8C2×C414yescomplemented
113C22⋊(C59⋊C8)C2×C414yescomplemented
114(C2×D59)⋊C8C2×C414yescomplemented
115C8×Dic59C2×C414yescomplemented
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C23×C4×C59C2311yescharacteristic
121C2×M16×C59—22no—
122C2×M16×C59—22no—
123C2×M16×C59C2×C414yescomplemented
124C22×C8×C59C2311yescharacteristic
125C22×C8×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C22⋊C4×C59—21no—
131C2×C22⋊C4×C59—21no—
132#107×C59—22no—
133#106×C59—22no—
134#95×C59—21no—
135#95×C59—21no—
136C24×C59C2×D411yescharacteristic
137C23×D59C2×D411yescharacteristic
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59C22×C412yes—
147C22×C4×C59C2×D411yescharacteristic
148C22×C4×C59C2×Q812yes—
149C22×C4×C59C2411yescharacteristic
150C2×C22⋊D59—22no—
151C2×C22⋊D59—22no—
152C2×C22⋊D59C4⋊C414yes—
153C22×Dic59—21no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—42no—
158C22×Dic59—42no—
159C22×Dic59—81no—
160C22×Dic59C2×D411yescharacteristic
161C22×Dic59C2×D411yescharacteristic
162C22×Dic59C2×D411yescharacteristic
163C2×C4×D59—21no—
164C2×C4×D59—21no—
165C2×C4×D59—21no—
166C2×C4×D59—21no—
167C2×C4×D59—42no—
168C2×C4×D59—42no—
169C2×C4×D59—81no—
170C2×C4×D59C22×C412yes—
171C2×C4×D59C2×Q812yes—
172M16×C59—28no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59C22×C412yes—
176C2×C8×C59C22×C412yes—
177C2×C8×C59C2×D412yes—
178C2×C8×C59#4112yes—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—81no—
189C22⋊Dic59—42no—
190C22⋊Dic59C4⋊C414yes—
191(C2×D59)⋊C4—42no—
192(C2×D59)⋊C4—42no—
193(C2×D59)⋊C4—81no—
194(C2×D59)⋊C4C4⋊C414yes—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—42no—
202C4⋊Dic59C2×D412yes—
203C4⋊Dic59C2×D412yes—
204Dic59⋊C4—42no—
205Dic59⋊C4—42no—
206Dic59⋊C4—42no—
207Dic59⋊C4—81no—
208Dic59⋊C4—81no—
209Dic59⋊C4C4⋊C414yes—
210C4×Dic59—42no—
211C4×Dic59—42no—
212C4×Dic59—42no—
213C4×Dic59—42no—
214C4×Dic59C22×C412yes—
215C4×Dic59C2×Q812yes—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8C22×C412yes—
221C2×C59⋊C8C22×C412yes—
222#11745659—28no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59C2×C4⋊C412yes—
230C23×C59C22×D411yescharacteristic
231C22×D59—21no—
232C22×D59—21no—
233C22×D59—21no—
234C22×D59—21no—
235C22×D59—21no—
236C22×D59—21no—
237C22×D59C2×C4⋊C412yes—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—41no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59C2×C4⋊C412yes—
257C2×C4×C59C23×C411yescharacteristic
258C2×C4×C59C22×D411yescharacteristic
259C2×C4×C59C22×Q811yescharacteristic
260C2×C4×C59C2×#4111yescharacteristic
261C2×C4×C59H(5,𝔽2)11yescharacteristic
262C2×C4×C592−1+411yescharacteristic
263C22⋊D59—28no—
264C2×Dic59—21no—
265C2×Dic59—21no—
266C2×Dic59—21no—
267C2×Dic59—21no—
268C2×Dic59—22no—
269C2×Dic59—22no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—84no—
281C2×Dic59C2×C4⋊C412yes—
282C2×Dic59C2×C4⋊C412yes—
283C2×Dic59C2×C4⋊C412yes—
284C2×Dic59AGL(1,ℤ/8)12yes—
285C2×Dic59#13712yes—
286C4×D59—22no—
287C4×D59—22no—
288C4×D59—22no—
289C4×D59—22no—
290C4×D59—84no—
291C8×C59—22no—
292C8×C59C4×D414yescomplemented
293C59⋊C8—22no—
294C59⋊C8—22no—
295#22663—591nomaximal, Sylow
296C22×C59—22no—
297C22×C59—22no—
298C22×C59—22no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—41no—
302C22×C59—41no—
303C22×C59C22×C4⋊C411yescharacteristic
304C22×C59D4211yescharacteristic
305C22×C59#54711yescharacteristic
306C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C59C2×#13711yescharacteristic
308C22×C59#57711yescharacteristic
309C22×C59#57711yescharacteristic
310C2×D59—22no—
311C2×D59—22no—
312C2×D59—22no—
313C2×D59—41no—
314C2×D59—41no—
315C2×D59—41no—
316C2×D59—41no—
317C4×C59—22no—
318C4×C59—81no—
319C4×C59—81no—
320C4×C59—81no—
321C4×C59—81no—
322C4×C59C2×C4×D411yescharacteristic
323C4×C59#52011yescharacteristic
324C4×C59D4×Q811yescharacteristic
325C4×C59#55411yescharacteristic
326Dic59—22no—
327Dic59—22no—
328Dic59—42no—
329Dic59—42no—
330Dic59—81no—
331Dic59—81no—
332Dic59#42814yescomplemented
333C2×#436—591no—
334C2×#428—591no—
335C2×#428—591no—
336#2354—591no—
337D4×C4⋊C4—591no—
338#1948—591no—
339#1947—591no—
340#1854—591no—
341#1854—591no—
342#1853—591no—
343#1853—591no—
344#1844—591no—
345#1809—591no—
346#1809D5911yescharacteristic, complemented
347C4×#107—591no—
348C2×C59—42no—
349C2×C59D4×C4⋊C411yescharacteristic
350C2×C59C2×#42811yescharacteristic
351C2×C59#291211yescharacteristic
352C2×C59#327211yescharacteristic
353C2×C59#327811yescharacteristic
354C2×C59#335411yescharacteristic
355C2×C59#335611yescharacteristic
356D59—42no—
357C22×M16—591no—
358C22×M16C2×D5911yescharacteristic
359C2×C4×D4—591no—
360C2×C4×D4—1181no—
361C2×#117—591no—
362C2×#117—591no—
363C22×C4⋊C4—591no—
364C22×C4⋊C4—591no—
365#436—598no—
366#428—1184no—
367#428—1184no—
368C2×#107—591no—
369C2×#107—591no—
370C2×#107—591no—
371C2×#107C2×D5911yescharacteristic
372C2×#106—591no—
373C2×#106—591no—
374C2×#106—591no—
375C2×#106—591no—
376C2×#106—591no—
377C2×#106C2×D5911yescharacteristic
378C2×C4⋊C8—591no—
379C2×C22⋊C8—591no—
380C2×C22⋊C8—591no—
381C2×C4×C8—591no—
382#390—1181no—
383#389—1181no—
384#388—1181no—
385#388—1181no—
386#385—1181no—
387#385—1181no—
388#384—591no—
389#384—591no—
390#380—591no—
391#380—591no—
392#380C2×D5911yescharacteristic
393#380C2×D5911yescharacteristic
394C4×C4⋊C4—591no—
395C4×C4⋊C4—591no—
396C4×C4⋊C4—1181no—
397#340—591no—
398#340—591no—
399#340—591no—
400#340—591no—
401#340C2×D5911yescharacteristic
402#340C2×D5911yescharacteristic
403C59#2266311yescharacteristic, complemented, Sylow
404C22×D4—591no—
405C23×C4—591no—
406C23×C4—1181no—
407C23×C4—1181no—
408C23×C4C22×D5911yescharacteristic
409C2×M16—22no—
410C2×M16—22no—
411C2×M16—594no—
412C2×M16—1182no—
413C2×M16—1182no—
414C2×M16C4×D5914yescomplemented
415C22×C8—591no—
416C22×C8—591no—
417C22×C8C22×D5911yescharacteristic
418C22×C8C22×D5911yescharacteristic
419C4×D4—594no—
420C4×D4—594no—
421C4×D4—2364no—
422#117—1182no—
423#117—1182no—
424#117—2361no—
425#117—2361no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—1182no—
432C2×C4⋊C4—1182no—
433C2×C4⋊C4—1181no—
434C2×C4⋊C4—1181no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—2361no—
440C2×C4⋊C4—2361no—
441C2×C4⋊C4C22×D5911yescharacteristic
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—591no—
448C2×C22⋊C4—591no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C42—591no—
454C2×C42—1181no—
455C2×C42—1181no—
456C2×C42—1181no—
457C2×C42—1181no—
458#107—22no—
459#107—594no—
460#107—1182no—
461#107—1182no—
462#106—22no—
463#106—1182no—
464#106—1182no—
465#106—1182no—
466#106—2361no—
467#106—2361no—
468C4⋊C8—594no—
469C22⋊C8—594no—
470C22⋊C8—594no—
471C4×C8—594no—
472#95—21no—
473#95—21no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478C24—591no—
479C24D4×D5911yescharacteristic
480C2×D4—594no—
481C2×D4—1182no—
482C2×D4—1182no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—591no—
492C22×C4—591no—
493C22×C4—591no—
494C22×C4—592no—
495C22×C4—592no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4—1181no—
503C22×C4—1181no—
504C22×C4—4721no—
505C22×C4—4721no—
506C22×C4—2362no—
507C22×C4—2362no—
508C22×C4—2362no—
509C22×C4—2362no—
510C22×C4C2×C4×D5912yes—
511C22×C4D4×D5911yescharacteristic
512C22×C4Q8×D5912yes—
513C22×C4C23×D5911yescharacteristic
514M16—28no—
515M16—1188no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—592no—
519C2×C8—592no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8C2×C4×D5912yes—
525C2×C8C2×C4×D5912yes—
526C2×C8D4×D5912yes—
527C2×C8#1174568712yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—594no—
537C4⋊C4—592no—
538C4⋊C4—592no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—4721no—
546C4⋊C4—4721no—
547C4⋊C4—2362no—
548C4⋊C4—2362no—
549C4⋊C4—2362no—
550C4⋊C4—2362no—
551C22⋊C4—42no—
552C22⋊C4—81no—
553C22⋊C4—594no—
554C22⋊C4—594no—
555C22⋊C4—4721no—
556C22⋊C4—2362no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C42—592no—
560C42—592no—
561C42—2362no—
562C42—2362no—
563C42—2362no—
564C42—2362no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—592no—
572C23—1181no—
573C23—1181no—
574C23—1181no—
575C23—1181no—
576C23—1181no—
577C23—1181no—
578C23C4⋊C4×D5912yes—
579C23C2×D4×D5911yescharacteristic
580D4—1188no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—592no—
600C2×C4—592no—
601C2×C4—592no—
602C2×C4—592no—
603C2×C4—592no—
604C2×C4—1181no—
605C2×C4—1181no—
606C2×C4—1181no—
607C2×C4—1181no—
608C2×C4—1182no—
609C2×C4—1182no—
610C2×C4—1182no—
611C2×C4—1182no—
612C2×C4—1182no—
613C2×C4—1182no—
614C2×C4—4724no—
615C2×C4—4724no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4C4⋊C4×D5912yes—
627C2×C4C22×C4×D5911yescharacteristic
628C2×C4C2×D4×D5911yescharacteristic
629C2×C4C2×Q8×D5911yescharacteristic
630C2×C4C2×#1174568711yescharacteristic
631C2×C4#1427377311yescharacteristic
632C2×C4#1427377411yescharacteristic
633C8—22no—
634C8—1182no—
635C8—1182no—
636C8(C22⋊D59)⋊C414yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—1182no—
645C22—1182no—
646C22—1182no—
647C22—2361no—
648C22—2361no—
649C22—2361no—
650C22—2361no—
651C22C2×C4⋊C4×D5911yescharacteristic
652C22#1683803611yescharacteristic
653C22#1683805211yescharacteristic
654C22AGL(1,ℤ/8)×D5911yescharacteristic
655C22#137×D5911yescharacteristic
656C22#1683821111yescharacteristic
657C22#1683821211yescharacteristic
658C4—22no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—594no—
664C4—1182no—
665C4—1182no—
666C4—4721no—
667C4—4721no—
668C4—2362no—
669C4—2362no—
670C4C2×(C22⋊D59)⋊C411yescharacteristic
671C4#1683788211yescharacteristic
672C4#1683806511yescharacteristic
673C4#1683811011yescharacteristic
674C2—42no—
675C2—2362no—
676C2#2142699211yescharacteristic
677C2#428×D5911yescharacteristic
678C2#2143269011yescharacteristic
679C2#2143569311yescharacteristic
680C2#2143575911yescharacteristic
681C2#2143668611yescharacteristic
682C2#2143670611yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1809C2
socleC23×C59C22×D4
prime radicalC22×C22⋊D59D4
cosocleC22×C4×C59C24
hypercenter#1809D59
hypocenterC59#22663
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1809

Complements

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

NH ≅ G/Ntype
2. C2×#16837444C2semidirect
3. C2×#16837441C2semidirect
6. #21424858C2semidirect
7. #21424853C2semidirect
8. #21424298C2semidirect
9. #21424293C2semidirect
10. #21424290C2semidirect
11. #21424288C2semidirect
12. #21424251C2semidirect
13. #21424130C2semidirect
14. #107×Dic59C2semidirect
15. C59×#1809C2semidirect
23. #16837478C4semidirect
68. C2×#11745659C2×C4semidirect
105. #14273661D4semidirect
112. Dic59⋊C8C2×C4semidirect
113. C22⋊(C59⋊C8)C2×C4semidirect
114. (C2×D59)⋊C8C2×C4semidirect
115. C8×Dic59C2×C4semidirect
123. C2×M16×C59C2×C4semidirect
292. C8×C59C4×D4semidirect
332. Dic59#428semidirect
346. #1809D59semidirect
403. C59#22663semidirect
414. C2×M16C4×D59semidirect
636. C8(C22⋊D59)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#168374782
C2×#168374442
C2×#168374412
#214270402
#214269922
#214248582
#214248532
#214242982
#214242932
#214242902
#214242882
#214242512
#214241302
#107×Dic592
C59×#18092
#2266359