Finite Group Databasebeta

← #28588587

Subgroups — #28588587

Order 15104.

1426 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D59C211yesmaximal, characteristic
2C2×#16837458C211yesmaximal, characteristic, complemented
3C2×#16837454C211yesmaximal, characteristic, complemented
4#21424163C212yesmaximal, complemented
5#21424080C211yesmaximal, characteristic, complemented
6#21424077C211yesmaximal, characteristic, complemented
7#21424077C211yesmaximal, characteristic, complemented
8#21424005C212yesmaximal
9#21423864C212yesmaximal, complemented
10#21423861C212yesmaximal, complemented
11C59×#1798C211yesmaximal, characteristic, complemented
12C23×C4×D59C2211yescharacteristic
13C2×#14273686C2211yescharacteristic
14C2×#14273685C411yescharacteristic
15C2×#14273685C411yescharacteristic
16C2×#14273684C2211yescharacteristic
17C2×#14273684C2211yescharacteristic
18C2×#14273683C411yescharacteristic
19C2×#14273683C411yescharacteristic
20#117×D59—24no—
21#117×D59—24no—
22C2×C4⋊C4×D59C411yescharacteristic
23C2×C4⋊C4×D59C411yescharacteristic
24C2×C22⋊C4×D59C411yescharacteristic
25C2×C22⋊C4×D59C411yescharacteristic
26C2×C42×D59C2211yescharacteristic
27C2×C42×D59C2211yescharacteristic
28#16837458—24no—
29#16837454—24no—
30C2×C4⋊(C59⋊C8)C2211yescharacteristic, complemented
31C2×C4⋊(C59⋊C8)C2211yescharacteristic, complemented
32C2×C22⋊(C59⋊C8)C2212yes—
33C2×(C2×D59)⋊C8C2212yes—
34C2×(C2×D59)⋊C8C2212yes—
35C2×(C2×D59)⋊C8C2212yes—
36C2×(C2×D59)⋊C8C2212yes—
37C2×#14273637C2212yescomplemented
38C2×C8×Dic59C2212yescomplemented
39#16837157C2212yescomplemented
40#16837156C2212yescomplemented
41#16837156C2212yescomplemented
42C2×#117×C59C2211yescharacteristic
43C2×C4⋊C8×C59C2211yescharacteristic, complemented
44C2×C4⋊C8×C59C2211yescharacteristic, complemented
45C2×C22⋊C8×C59C2212yes—
46C59×#336C2212yescomplemented
47C24×D59C2×C411yescharacteristic
48C23×Dic59C2×C411yescharacteristic
49C22×C4×D59—22no—
50C22×C4×D59—22no—
51C22×C4×D59—22no—
52C22×C4×D59—22no—
53C22×C4×D59—22no—
54C22×C4×D59—22no—
55C22×C4×D59C2×C411yescharacteristic
56C22×C4×D59C2×C411yescharacteristic
57C22×C4×D59C2×C411yescharacteristic
58C22×C4×D59C2×C411yescharacteristic
59C22×C4×D59C2×C411yescharacteristic
60C22×C4×D59C2×C411yescharacteristic
61C22×C4×D59C2311yescharacteristic
62C22×C4×D59C2311yescharacteristic
63C22×C59⋊C8C2312yes—
64C22×C59⋊C8C2312yes—
65#14273686—22no—
66#14273686—22no—
67#14273685—24no—
68#14273685—24no—
69#14273684—22no—
70#14273684—22no—
71#14273684—22no—
72#14273684—22no—
73#14273683—24no—
74#14273683—24no—
75C2×C4⋊Dic59C2×C411yescharacteristic
76C2×C4⋊Dic59C2×C411yescharacteristic
77C2×Dic59⋊C4C2×C411yescharacteristic
78C2×Dic59⋊C4C2×C411yescharacteristic
79C2×Dic59⋊C4C2×C411yescharacteristic
80C2×Dic59⋊C4C2×C411yescharacteristic
81C4⋊C4×D59—24no—
82C4⋊C4×D59—24no—
83C2×C22⋊Dic59C2×C411yescharacteristic
84C2×C22⋊Dic59C2×C411yescharacteristic
85C2×(C2×D59)⋊C4C2×C411yescharacteristic
86C2×(C2×D59)⋊C4C2×C411yescharacteristic
87C2×(C2×D59)⋊C4C2×C411yescharacteristic
88C2×(C2×D59)⋊C4C2×C411yescharacteristic
89C22⋊C4×D59—24no—
90C22⋊C4×D59—24no—
91C2×C4×Dic59C2×C411yescharacteristic
92C2×C4×Dic59C2×C411yescharacteristic
93C2×C4×Dic59C2×C411yescharacteristic
94C2×C4×Dic59C2×C411yescharacteristic
95C2×C4×Dic59C2311yescharacteristic
96C2×C4×Dic59C2311yescharacteristic
97C42×D59—22no—
98C42×D59—22no—
99C42×D59D414yes—
100C42×D59D414yes—
101C4⋊(C59⋊C8)—22no—
102C4⋊(C59⋊C8)—22no—
103C22⋊(C59⋊C8)—24no—
104(C2×D59)⋊C8—24no—
105(C2×D59)⋊C8—24no—
106(C2×D59)⋊C8—24no—
107(C2×D59)⋊C8—24no—
108#14273637—24no—
109C8×Dic59—24no—
110C23×C4×C59C2311yescharacteristic
111C22×C8×C59C2312yes—
112C22×C8×C59C2312yes—
113#117×C59—22no—
114#117×C59—22no—
115C2×C4⋊C4×C59C2×C411yescharacteristic
116C2×C4⋊C4×C59C2×C411yescharacteristic
117C2×C22⋊C4×C59C2×C411yescharacteristic
118C2×C22⋊C4×C59C2×C411yescharacteristic
119C2×C42×C59C2311yescharacteristic
120C2×C42×C59C2311yescharacteristic
121C4⋊C8×C59—22no—
122C4⋊C8×C59—22no—
123C22⋊C8×C59—24no—
124C24×C59C22×C411yescharacteristic
125C23×D59—22no—
126C23×D59—22no—
127C23×D59—22no—
128C23×D59—24no—
129C23×D59—42no—
130C23×D59C22×C411yescharacteristic
131C23×D59C22×C411yescharacteristic
132C22×C4×C59—21no—
133C22×C4×C59—21no—
134C22×C4×C59—21no—
135C22×C4×C59—21no—
136C22×C4×C59C22×C411yescharacteristic
137C22×C4×C59C22×C411yescharacteristic
138C22×C4×C59C22×C411yescharacteristic
139C22×C4×C59C22×C411yescharacteristic
140C22×C4×C59C22×C411yescharacteristic
141C22×C4×C59#4112yes—
142C22×C4×C59#4112yes—
143C22×C4×C59C2411yescharacteristic
144C22×Dic59—22no—
145C22×Dic59—22no—
146C22×Dic59—22no—
147C22×Dic59C22×C411yescharacteristic
148C22×Dic59C22×C411yescharacteristic
149C22×Dic59C22×C411yescharacteristic
150C22×Dic59C22×C411yescharacteristic
151C22×Dic59C22×C411yescharacteristic
152C22×Dic59C22×C411yescharacteristic
153C2×C4×D59—28no—
154C2×C4×D59—28no—
155C2×C4×D59—28no—
156C2×C4×D59—28no—
157C2×C4×D59—22no—
158C2×C4×D59—22no—
159C2×C4×D59—24no—
160C2×C4×D59—22no—
161C2×C4×D59—22no—
162C2×C4×D59—21no—
163C2×C4×D59—21no—
164C2×C4×D59—21no—
165C2×C4×D59—21no—
166C2×C4×D59—21no—
167C2×C4×D59—21no—
168C2×C4×D59—21no—
169C2×C4×D59—21no—
170C2×C4×D59—22no—
171C2×C4×D59—22no—
172C2×C4×D59—22no—
173C2×C4×D59—22no—
174C2×C4×D59—24no—
175C2×C4×D59—42no—
176C2×C4×D59—42no—
177C2×C4×D59C22⋊C414yes—
178C2×C4×D59C22⋊C414yes—
179C2×C4×D59C2×D412yes—
180C2×C4×D59C2×D412yes—
181C2×C4×D59#4112yes—
182C2×C4×D59#4112yes—
183C2×C8×C59—22no—
184C2×C8×C59—22no—
185C2×C8×C59—22no—
186C2×C8×C59—22no—
187C2×C8×C59—22no—
188C2×C8×C59—22no—
189C4⋊C4×C59—22no—
190C4⋊C4×C59—22no—
191C22⋊C4×C59—22no—
192C22⋊C4×C59—22no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59C2×D412yes—
196C42×C59C2×D412yes—
197C22⋊Dic59—22no—
198C22⋊Dic59—22no—
199(C2×D59)⋊C4—22no—
200(C2×D59)⋊C4—22no—
201(C2×D59)⋊C4—22no—
202(C2×D59)⋊C4—22no—
203C4⋊Dic59—22no—
204C4⋊Dic59—22no—
205Dic59⋊C4—22no—
206Dic59⋊C4—22no—
207Dic59⋊C4—22no—
208Dic59⋊C4—22no—
209C4×Dic59—21no—
210C4×Dic59—21no—
211C4×Dic59—22no—
212C4×Dic59—22no—
213C4×Dic59C22⋊C414yes—
214C4×Dic59C22⋊C414yes—
215C4×Dic59C2×D412yes—
216C4×Dic59C2×D412yes—
217C2×C59⋊C8—22no—
218C2×C59⋊C8—22no—
219C2×C59⋊C8—22no—
220C2×C59⋊C8—22no—
221C2×C59⋊C8—22no—
222C2×C59⋊C8—22no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—22no—
226C23×C59—22no—
227C23×C59#11712yes—
228C23×C59C23×C411yescharacteristic
229C22×D59—21no—
230C22×D59—21no—
231C22×D59—22no—
232C22×D59—28no—
233C22×D59—21no—
234C22×D59—21no—
235C22×D59—22no—
236C22×D59—22no—
237C22×D59—48no—
238C22×D59—48no—
239C22×D59—44no—
240C22×D59—44no—
241C22×D59C2×C22⋊C412yes—
242C22×D59#11712yes—
243C22×D59#13114yes—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59C2×C22⋊C412yes—
257C2×C4×C59C2×C22⋊C412yes—
258C2×C4×C59#11712yes—
259C2×C4×C59C22×D411yescharacteristic
260C2×C4×C59C22×D411yescharacteristic
261C2×C4×C59C2×#4111yescharacteristic
262C2×C4×C59C2×#4111yescharacteristic
263C2×C4×C59C2×#4111yescharacteristic
264C2×C4×C59C2×#4111yescharacteristic
265C2×Dic59—28no—
266C2×Dic59—21no—
267C2×Dic59—21no—
268C2×Dic59—21no—
269C2×Dic59—21no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—21no—
273C2×Dic59—21no—
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59C2×C22⋊C412yes—
277C2×Dic59C2×C22⋊C412yes—
278C2×Dic59C2×C22⋊C412yes—
279C2×Dic59#11712yes—
280C4×D59—28no—
281C4×D59—28no—
282C4×D59—28no—
283C4×D59—22no—
284C4×D59—22no—
285C4×D59—22no—
286C4×D59—22no—
287C4×D59—22no—
288C4×D59—22no—
289C4×D59—22no—
290C4×D59—22no—
291C4×D59—44no—
292C4×D59—44no—
293C4×D59—44no—
294C8×C59—42no—
295C8×C59—42no—
296C59⋊C8—42no—
297C59⋊C8—42no—
298#20717—591nomaximal, Sylow
299C22×C59—24no—
300C22×C59—22no—
301C22×C59—41no—
302C22×C59—41no—
303C22×C59—42no—
304C22×C59C22×C22⋊C411yescharacteristic
305C22×C59C2×#11711yescharacteristic
306C22×C59C2×#11711yescharacteristic
307C22×C59C2×#13112yes—
308C22×C59#56812yes—
309C2×D59—22no—
310C2×D59—24no—
311C2×D59—24no—
312C2×D59—22no—
313C2×D59—24no—
314C2×D59—22no—
315C2×D59—416no—
316C2×D59—41no—
317C2×D59—41no—
318C2×D59—42no—
319C2×D59#40814yes—
320C4×C59—22no—
321C4×C59—22no—
322C4×C59—22no—
323C4×C59—41no—
324C4×C59—41no—
325C4×C59#52511yescharacteristic
326C4×C59#52511yescharacteristic
327C4×C59#52511yescharacteristic
328C4×C59#52511yescharacteristic
329Dic59—22no—
330Dic59—22no—
331Dic59—22no—
332Dic59—22no—
333Dic59—41no—
334Dic59—41no—
335C22×#117—591no—
336C2×#432—591no—
337C2×#431—591no—
338#1817—592no—
339#1798—591no—
340#1798—591no—
341#1798—591no—
342#1798D5911yescharacteristic, complemented
343#1779—592no—
344#1750—592no—
345#1750—592no—
346C2×C59—42no—
347C2×C59#228011yescharacteristic
348C2×C59C2×#40811yescharacteristic
349C2×C59#287911yescharacteristic
350C2×C59#292412yes—
351C2×C59#292412yes—
352D59—24no—
353D59—42no—
354C24×C4—591no—
355C2×#117—591no—
356C2×#117—591no—
357C2×#117—591no—
358C2×#117—591no—
359C2×#117—591no—
360C2×#117—591no—
361C2×#117—591no—
362C2×#117—1184no—
363C2×#117—1184no—
364C2×#117C2×D5911yescharacteristic
365C22×C4⋊C4—591no—
366C22×C4⋊C4—591no—
367C22×C22⋊C4—591no—
368C22×C22⋊C4—591no—
369C22×C42—591no—
370C22×C42—591no—
371#432—1184no—
372#431—1184no—
373C2×C4⋊C8—591no—
374C2×C4⋊C8—591no—
375C2×C4⋊C8C2×D5911yescharacteristic, complemented
376C2×C4⋊C8C2×D5911yescharacteristic, complemented
377C2×C22⋊C8—592no—
378C2×C22⋊C8—592no—
379C2×C22⋊C8—592no—
380C2×C22⋊C8—592no—
381C2×C22⋊C8—592no—
382C2×C22⋊C8C2×D5912yes—
383C2×#97—592no—
384C2×C4×C8—592no—
385#336—592no—
386#336—592no—
387#336—592no—
388#336C2×D5912yescomplemented
389C59#2071711yescharacteristic, complemented, Sylow
390C25—591no—
391C23×C4—591no—
392C23×C4—591no—
393C23×C4—591no—
394C23×C4—591no—
395C23×C4—591no—
396C23×C4—591no—
397C23×C4—591no—
398C23×C4—591no—
399C23×C4—591no—
400C23×C4—1182no—
401C23×C4—1182no—
402C23×C4—1182no—
403C23×C4—1182no—
404C23×C4—1182no—
405C23×C4—1182no—
406C23×C4C22×D5911yescharacteristic
407C22×C8—592no—
408C22×C8—592no—
409C22×C8C22×D5912yes—
410C22×C8C22×D5912yes—
411#117—22no—
412#117—22no—
413#117—1182no—
414#117—1182no—
415#117—1184no—
416#117—1184no—
417#117—1184no—
418#117—1184no—
419#117—1182no—
420#117—1182no—
421#117—1182no—
422#117—1182no—
423C2×C4⋊C4—591no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—591no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—1184no—
430C2×C4⋊C4—1184no—
431C2×C4⋊C4C4×D5911yescharacteristic
432C2×C4⋊C4C4×D5911yescharacteristic
433C2×C22⋊C4—591no—
434C2×C22⋊C4—591no—
435C2×C22⋊C4—591no—
436C2×C22⋊C4—591no—
437C2×C22⋊C4—591no—
438C2×C22⋊C4—591no—
439C2×C22⋊C4—1184no—
440C2×C22⋊C4—1184no—
441C2×C22⋊C4C4×D5911yescharacteristic
442C2×C22⋊C4C4×D5911yescharacteristic
443C2×C42—591no—
444C2×C42—591no—
445C2×C42—591no—
446C2×C42—594no—
447C2×C42—594no—
448C2×C42—591no—
449C2×C42—591no—
450C2×C42—591no—
451C2×C42—1182no—
452C2×C42—1182no—
453C2×C42C22×D5911yescharacteristic
454C2×C42C22×D5911yescharacteristic
455C4⋊C8—22no—
456C4⋊C8—22no—
457C4⋊C8—1182no—
458C4⋊C8—1182no—
459C22⋊C8—24no—
460C22⋊C8—1184no—
461C22⋊C8—1184no—
462C22⋊C8—1184no—
463C22⋊C8—1184no—
464C22⋊C8—1184no—
465#97—1184no—
466C4×C8—1184no—
467C24—591no—
468C24—591no—
469C24—1182no—
470C24—1182no—
471C24—1184no—
472C24—1182no—
473C24—2362no—
474C24C2×C4×D5911yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—591no—
480C22×C4—591no—
481C22×C4—591no—
482C22×C4—591no—
483C22×C4—594no—
484C22×C4—592no—
485C22×C4—592no—
486C22×C4—592no—
487C22×C4—592no—
488C22×C4—594no—
489C22×C4—591no—
490C22×C4—591no—
491C22×C4—1182no—
492C22×C4—1182no—
493C22×C4—1182no—
494C22×C4—1182no—
495C22×C4—1184no—
496C22×C4—1188no—
497C22×C4—1188no—
498C22×C4—1188no—
499C22×C4—1188no—
500C22×C4—1182no—
501C22×C4—1182no—
502C22×C4—1184no—
503C22×C4—1182no—
504C22×C4—1182no—
505C22×C4—1182no—
506C22×C4—1182no—
507C22×C4—1182no—
508C22×C4—1181no—
509C22×C4—1181no—
510C22×C4—1181no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4—2362no—
517C22×C4—2362no—
518C22×C4C2×C4×D5911yescharacteristic
519C22×C4C2×C4×D5911yescharacteristic
520C22×C4C2×C4×D5911yescharacteristic
521C22×C4C2×C4×D5911yescharacteristic
522C22×C4C2×C4×D5911yescharacteristic
523C22×C4#1174568712yes—
524C22×C4#1174568912yes—
525C22×C4C23×D5911yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—1182no—
533C2×C8—1182no—
534C2×C8—1182no—
535C2×C8—1182no—
536C2×C8—1182no—
537C2×C8—1182no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—1182no—
541C4⋊C4—1182no—
542C4⋊C4—1182no—
543C4⋊C4—1182no—
544C4⋊C4—1182no—
545C4⋊C4—1182no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—1182no—
549C22⋊C4—1182no—
550C22⋊C4—1182no—
551C22⋊C4—1182no—
552C22⋊C4—1182no—
553C22⋊C4—1182no—
554C42—21no—
555C42—21no—
556C42—594no—
557C42—594no—
558C42—592no—
559C42—592no—
560C42—1182no—
561C42—1182no—
562C42—1181no—
563C42—1181no—
564C42D4×D5912yes—
565C42D4×D5912yes—
566C23—22no—
567C23—22no—
568C23—21no—
569C23—21no—
570C23—594no—
571C23—592no—
572C23—592no—
573C23—1188no—
574C23—1182no—
575C23—1181no—
576C23—1181no—
577C23—1182no—
578C23—1182no—
579C23—1181no—
580C23—1181no—
581C23—2368no—
582C23—2364no—
583C23—2368no—
584C23—2364no—
585C23#1427368512yes—
586C23C22×C4×D5911yescharacteristic
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—592no—
600C2×C4—592no—
601C2×C4—592no—
602C2×C4—592no—
603C2×C4—1188no—
604C2×C4—1188no—
605C2×C4—1188no—
606C2×C4—1188no—
607C2×C4—1182no—
608C2×C4—1182no—
609C2×C4—1181no—
610C2×C4—1181no—
611C2×C4—1181no—
612C2×C4—1181no—
613C2×C4—1182no—
614C2×C4—1182no—
615C2×C4—1182no—
616C2×C4—1182no—
617C2×C4—1182no—
618C2×C4—1182no—
619C2×C4—1182no—
620C2×C4—1182no—
621C2×C4—1182no—
622C2×C4—1182no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—2364no—
626C2×C4—2364no—
627C2×C4—2364no—
628C2×C4C22⋊C4×D5912yes—
629C2×C4C22⋊C4×D5912yes—
630C2×C4#1427368512yes—
631C2×C4C2×D4×D5911yescharacteristic
632C2×C4C2×D4×D5911yescharacteristic
633C2×C4#41×D5911yescharacteristic
634C2×C4#41×D5911yescharacteristic
635C2×C4C2×#1174568711yescharacteristic
636C2×C4C2×#1174568911yescharacteristic
637C8—42no—
638C8—42no—
639C8—2362no—
640C8—2362no—
641C22—22no—
642C22—24no—
643C22—42no—
644C22—41no—
645C22—41no—
646C22—594no—
647C22—1182no—
648C22—1184no—
649C22—1184no—
650C22—1182no—
651C22—1182no—
652C22—1184no—
653C22—23616no—
654C22—2362no—
655C22—2361no—
656C22—2361no—
657C22C2×C22⋊C4×D5911yescharacteristic
658C22#117×D5911yescharacteristic
659C22C2×#1427368511yescharacteristic
660C22#131×D5912yes—
661C22#1683816712yes—
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—1182no—
668C4—1182no—
669C4—1182no—
670C4—1182no—
671C4—2361no—
672C4—2361no—
673C4#1683791211yescharacteristic
674C4#1683791211yescharacteristic
675C4#1683791511yescharacteristic
676C4#1683791511yescharacteristic
677C2—42no—
678C2—1184no—
679C2—2362no—
680C2#2142647811yescharacteristic
681C2#408×D5911yescharacteristic
682C2#2143253811yescharacteristic
683C2#2143275212yes—
684C2#2143275312yes—
subgroupG/H
center, FrattiniC22×C4C23×D59
commutator, socleC23×C59C23×C4
FittingC59×#1798C2
prime radicalC24×D59C2×C4
cosocleC22×C4×C59C24
hypercenter#1798D59
hypocenterC59#20717
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ #1798

Complements

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

NH ≅ G/Ntype
2. C2×#16837458C2semidirect
3. C2×#16837454C2semidirect
4. #21424163C2semidirect
5. #21424080C2semidirect
6. #21424077C2semidirect
7. #21424077C2semidirect
9. #21423864C2semidirect
10. #21423861C2semidirect
11. C59×#1798C2semidirect
30. C2×C4⋊(C59⋊C8)C22semidirect
31. C2×C4⋊(C59⋊C8)C22semidirect
37. C2×#14273637C22semidirect
38. C2×C8×Dic59C22semidirect
39. #16837157C22semidirect
40. #16837156C22semidirect
41. #16837156C22semidirect
43. C2×C4⋊C8×C59C22semidirect
44. C2×C4⋊C8×C59C22semidirect
46. C59×#336C22semidirect
342. #1798D59semidirect
375. C2×C4⋊C8C2×D59semidirect
376. C2×C4⋊C8C2×D59semidirect
388. #336C2×D59semidirect
389. C59#20717semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D592
C2×#168374582
C2×#168374542
#214241632
#214240802
#214240772
#214240052
#214238642
#214238612
C59×#17982
#2071759