Finite Group Databasebeta

← #28608375

Subgroups — #28608375

Order 15104.

830 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837464C211yesmaximal, characteristic, complemented
2C2×#16837457C211yesmaximal, characteristic, complemented
3#21426537C211yesmaximal, characteristic
4#21424893C211yesmaximal, characteristic
5#21424890C211yesmaximal, characteristic
6#21424709C211yesmaximal, characteristic, complemented
7#21424709C211yesmaximal, characteristic, complemented
8#21424707C211yesmaximal, characteristic, complemented
9#21424700C211yesmaximal, characteristic, complemented
10#21424249C211yesmaximal, characteristic, complemented
11#21424079C211yesmaximal, characteristic, complemented
12#21424075C211yesmaximal, characteristic, complemented
13#21423971C211yesmaximal, characteristic, complemented
14#21423954C211yesmaximal, characteristic, complemented
15C59×#1770C211yesmaximal, characteristic, complemented
16C2×C4×D236C2211yescharacteristic
17C2×#14273684C2211yescharacteristic
18C2×C42×D59C2211yescharacteristic
19#16837464—24no—
20#16837457—24no—
21C2×C4⋊(C59⋊C8)C2211yescharacteristic
22C2×Dic59⋊C8C2211yescharacteristic
23C2×Dic59⋊C8C2211yescharacteristic
24C2×Dic59⋊C8C2211yescharacteristic
25C2×Dic59⋊C8C2211yescharacteristic
26C2×Dic59⋊C8C2211yescharacteristic
27C2×Dic59⋊C8C2211yescharacteristic
28C2×(C2×D59)⋊C8C2211yescharacteristic
29C2×(C2×D59)⋊C8C2211yescharacteristic
30C2×(C2×D59)⋊C8C2211yescharacteristic
31C2×(C2×D59)⋊C8C2211yescharacteristic
32C2×(C2×D59)⋊C8C2211yescharacteristic
33C2×(C2×D59)⋊C8C2211yescharacteristic
34C2×(C2×D59)⋊C8C2211yescharacteristic
35C2×(C2×D59)⋊C8C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×#14273638C2211yescharacteristic
38C2×C4×C59⋊C8C2211yescharacteristic
39#16837292C411yescharacteristic
40#16837292C411yescharacteristic
41#16837285C411yescharacteristic
42#16837285C411yescharacteristic
43#16837280C411yescharacteristic
44#16837280C411yescharacteristic
45#16837273C411yescharacteristic
46#16837273C411yescharacteristic
47C4×(C2×D59)⋊C4C2211yescharacteristic
48C4×(C2×D59)⋊C4C2211yescharacteristic
49#16837248C2211yescharacteristic
50#16837157C2211yescharacteristic
51#16837157C2211yescharacteristic
52#16837156C2211yescharacteristic
53#16837156C2211yescharacteristic
54C2×C4⋊C8×C59C2211yescharacteristic
55C2×#97×C59C2211yescharacteristic
56C2×#97×C59C2211yescharacteristic
57C2×C4×C8×C59C2211yescharacteristic
58C4×C4⋊C4×C59C2211yescharacteristic
59C59×#336C2211yescharacteristic
60C59×#336C2211yescharacteristic
61C22×D236C2×C411yescharacteristic
62C22×C4×D59C2×C411yescharacteristic
63C22×C4×D59C2×C411yescharacteristic
64C22×C4×D59C2311yescharacteristic
65C22×C4×D59C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C4×D236—22no—
71C4×D236—22no—
72#14273684—22no—
73#14273684—22no—
74C2×C4⋊Dic59C2×C411yescharacteristic
75C2×Dic59⋊C4C2×C411yescharacteristic
76C2×Dic59⋊C4C2×C411yescharacteristic
77C2×(C2×D59)⋊C4C2×C411yescharacteristic
78C2×(C2×D59)⋊C4C2×C411yescharacteristic
79C2×(C2×D59)⋊C4C2×C411yescharacteristic
80C2×(C2×D59)⋊C4C2×C411yescharacteristic
81C2×(C2×D59)⋊C4C2×C411yescharacteristic
82C2×(C2×D59)⋊C4C2×C411yescharacteristic
83C2×(C2×D59)⋊C4C2×C411yescharacteristic
84C2×(C2×D59)⋊C4C2×C411yescharacteristic
85C2×C4×Dic59C2×C411yescharacteristic
86C2×C4×Dic59C2×C411yescharacteristic
87C2×C4×Dic59C2311yescharacteristic
88C2×C4×Dic59C2311yescharacteristic
89C42×D59—22no—
90C42×D59—22no—
91C4⋊(C59⋊C8)—22no—
92Dic59⋊C8—22no—
93Dic59⋊C8—22no—
94Dic59⋊C8—22no—
95Dic59⋊C8—41no—
96Dic59⋊C8—41no—
97Dic59⋊C8D414yescomplemented
98(C2×D59)⋊C8—22no—
99(C2×D59)⋊C8—22no—
100(C2×D59)⋊C8—22no—
101(C2×D59)⋊C8—22no—
102(C2×D59)⋊C8—41no—
103(C2×D59)⋊C8—41no—
104(C2×D59)⋊C8—41no—
105(C2×D59)⋊C8—41no—
106#14273638—22no—
107#14273638—22no—
108C4×C59⋊C8—22no—
109C59⋊#95C2×C411yescharacteristic
110C59⋊#95C2×C411yescharacteristic
111C59⋊#95C2×C411yescharacteristic
112C59⋊#95C2×C411yescharacteristic
113C59⋊#95C2×C411yescharacteristic
114C59⋊#95C2×C411yescharacteristic
115C59⋊#95C2×C411yescharacteristic
116C59⋊#95C2×C411yescharacteristic
117C22×C8×C59C2311yescharacteristic
118C22×C8×C59C2311yescharacteristic
119C22×C8×C59C2311yescharacteristic
120C22×C8×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2×C411yescharacteristic
122C2×C4⋊C4×C59C2×C411yescharacteristic
123C2×C42×C59C2311yescharacteristic
124C2×C42×C59C2311yescharacteristic
125C2×C42×C59C2311yescharacteristic
126C4⋊C8×C59—22no—
127#97×C59—22no—
128#97×C59—22no—
129C4×C8×C59—22no—
130#95×C59C2×C411yescharacteristic
131#95×C59C2×C411yescharacteristic
132C23×D59C22×C411yescharacteristic
133C23×D59C22×C411yescharacteristic
134C22×C4×C59C22×C411yescharacteristic
135C22×C4×C59C22×C411yescharacteristic
136C22×C4×C59C22×C411yescharacteristic
137C22×C4×C59C22×C411yescharacteristic
138C22×C4×C59C22×C411yescharacteristic
139C22×C4×C59C22×C411yescharacteristic
140C22×C4×C59C2411yescharacteristic
141C22×Dic59C22×C411yescharacteristic
142C22×Dic59C22×C411yescharacteristic
143C22×Dic59C22×C411yescharacteristic
144C22×Dic59C22×C411yescharacteristic
145C22×Dic59C22×C411yescharacteristic
146C22×Dic59C22×C411yescharacteristic
147C2×D236—22no—
148C2×D236—22no—
149C2×D236—41no—
150C2×C4×D59—22no—
151C2×C4×D59—21no—
152C2×C4×D59—21no—
153C2×C4×D59—21no—
154C2×C4×D59—21no—
155C2×C4×D59—21no—
156C2×C4×D59—21no—
157C2×C4×D59—21no—
158C2×C4×D59—21no—
159C2×C4×D59—21no—
160C2×C4×D59—21no—
161C2×C4×D59—21no—
162C2×C4×D59—21no—
163C2×C4×D59—22no—
164C2×C4×D59—22no—
165C2×C4×D59—41no—
166C2×C4×D59—41no—
167C2×C4×D59—41no—
168C2×C8×C59—21no—
169C2×C8×C59—21no—
170C2×C8×C59—21no—
171C2×C8×C59—21no—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59—21no—
176C2×C8×C59—21no—
177C2×C8×C59—21no—
178C2×C8×C59—21no—
179C2×C8×C59C2×D412yes—
180C4⋊C4×C59—41no—
181C4⋊C4×C59—41no—
182C42×C59—21no—
183C42×C59—21no—
184C42×C59—21no—
185C42×C59—21no—
186C42×C59#4112yes—
187C42×C59#4112yes—
188(C2×D59)⋊C4—22no—
189(C2×D59)⋊C4—22no—
190(C2×D59)⋊C4—22no—
191(C2×D59)⋊C4—22no—
192(C2×D59)⋊C4—22no—
193(C2×D59)⋊C4—41no—
194(C2×D59)⋊C4—41no—
195(C2×D59)⋊C4—41no—
196C4⋊Dic59—22no—
197Dic59⋊C4—22no—
198Dic59⋊C4—22no—
199C4×Dic59—21no—
200C4×Dic59—21no—
201C4×Dic59—22no—
202C4×Dic59—22no—
203C4×Dic59C2×D412yes—
204C4×Dic59#4112yes—
205C2×C59⋊C8—21no—
206C2×C59⋊C8—21no—
207C2×C59⋊C8—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8C2×D412yes—
217C23×C59C23×C411yescharacteristic
218C22×D59—21no—
219C22×D59—21no—
220C22×D59—21no—
221C22×D59—21no—
222C22×D59—21no—
223C22×D59—21no—
224C22×D59—21no—
225C22×D59—21no—
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59—21no—
230C22×D59—21no—
231C22×D59#13112yes—
232C2×C4×C59—21no—
233C2×C4×C59—21no—
234C2×C4×C59—21no—
235C2×C4×C59—21no—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59#11712yes—
249C2×C4×C59#11712yes—
250C2×C4×C59C22×D411yescharacteristic
251C2×C4×C59C2×#4111yescharacteristic
252C2×C4×C59C2×#4111yescharacteristic
253C2×C4×C59C2×#4111yescharacteristic
254C2×C4×C59H(5,𝔽2)11yescharacteristic
255C2×C4×C592−1+411yescharacteristic
256C2×Dic59—21no—
257C2×Dic59—21no—
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—21no—
262C2×Dic59—21no—
263C2×Dic59—21no—
264C2×Dic59—21no—
265C2×Dic59—21no—
266C2×Dic59—21no—
267C2×Dic59—21no—
268C2×Dic59—21no—
269C2×Dic59—21no—
270C2×Dic59—21no—
271C2×Dic59—21no—
272C2×Dic59C4×D412yes—
273C2×Dic59C4×D412yes—
274D236—44no—
275C4×D59—44no—
276C4×D59—44no—
277C4×D59—41no—
278C4×D59—41no—
279C4×D59—41no—
280C4×D59—41no—
281C4×D59—41no—
282C4×D59—41no—
283C4×D59—41no—
284C4×D59—41no—
285C8×C59—22no—
286C8×C59—41no—
287C8×C59—41no—
288C8×C59—41no—
289C59⋊C8—22no—
290C59⋊C8—41no—
291C59⋊C8—41no—
292C59⋊C8—41no—
293#22801—591nomaximal, Sylow
294C22×C59C2×#11711yescharacteristic
295C22×C59C2×C4×D411yescharacteristic
296C22×C59#52011yescharacteristic
297C22×C59C2×#13111yescharacteristic
298C22×C59#56811yescharacteristic
299C22×C59#56811yescharacteristic
300C22×C59#56811yescharacteristic
301C2×D59—22no—
302C2×D59—22no—
303C2×D59—22no—
304C2×D59—41no—
305C2×D59—41no—
306C2×D59—41no—
307C2×D59—41no—
308C2×D59—41no—
309C2×D59—41no—
310C2×D59—41no—
311C2×D59—41no—
312C2×D59—41no—
313C2×D59—41no—
314C2×D59—41no—
315C4×C59—22no—
316C4×C59—22no—
317C4×C59—41no—
318C4×C59—41no—
319C4×C59—41no—
320C4×C59—41no—
321C4×C59#54711yescharacteristic
322C4×C59#55011yescharacteristic
323C4×C59#55511yescharacteristic
324C4×C59#55611yescharacteristic
325Dic59—22no—
326Dic59—22no—
327Dic59—41no—
328Dic59—41no—
329Dic59—41no—
330Dic59—41no—
331C2×#433—591no—
332C2×#432—591no—
333#2290—591no—
334#1955—591no—
335#1954—591no—
336#1924—591no—
337#1924—591no—
338#1924—591no—
339#1923—591no—
340#1843—591no—
341#1798—591no—
342#1797—591no—
343#1771—591no—
344#1770D5911yescharacteristic, complemented
345#1768—591no—
346C2×C59#235411yescharacteristic
347C2×C59#292311yescharacteristic
348C2×C59#292411yescharacteristic
349C2×C59#293011yescharacteristic
350C2×C59#293311yescharacteristic
351C2×C59#299211yescharacteristic
352C2×C59#299511yescharacteristic
353D59—42no—
354D59—81no—
355C2×C4×D4—591no—
356C2×#117—591no—
357C22×C42—591no—
358#433—1184no—
359#432—1184no—
360C2×C4⋊C8—591no—
361C2×C4⋊C8—591no—
362C2×C4⋊C8—591no—
363C2×C4⋊C8—591no—
364C2×C4⋊C8—591no—
365C2×C4⋊C8—591no—
366C2×C4⋊C8—591no—
367C2×C4⋊C8C2×D5911yescharacteristic
368C2×C22⋊C8—591no—
369C2×C22⋊C8—591no—
370C2×C22⋊C8—591no—
371C2×C22⋊C8—591no—
372C2×C22⋊C8—591no—
373C2×C22⋊C8—591no—
374C2×C22⋊C8—591no—
375C2×C22⋊C8—591no—
376C2×#97—591no—
377C2×#97—591no—
378C2×#97C2×D5911yescharacteristic
379C2×#97C2×D5911yescharacteristic
380C2×C4×C8—591no—
381C2×C4×C8C2×D5911yescharacteristic
382#388—591no—
383#388—591no—
384#387—591no—
385#387—591no—
386#386—591no—
387#386—591no—
388#385—591no—
389#385—591no—
390C4×C4⋊C4C2×D5911yescharacteristic
391C4×C22⋊C4—591no—
392C4×C22⋊C4—591no—
393#376—591no—
394#336—591no—
395#336—591no—
396#336—591no—
397#336—591no—
398#336C2×D5911yescharacteristic
399#336C2×D5911yescharacteristic
400C59#2280111yescharacteristic, complemented, Sylow
401C22×D4—591no—
402C23×C4—591no—
403C23×C4—591no—
404C23×C4—591no—
405C23×C4—591no—
406C22×C8—591no—
407C22×C8—591no—
408C22×C8—591no—
409C22×C8—591no—
410C22×C8C22×D5911yescharacteristic
411C22×C8C22×D5911yescharacteristic
412C22×C8C22×D5911yescharacteristic
413C22×C8C22×D5911yescharacteristic
414C4×D4—1182no—
415C4×D4—1182no—
416#117—1182no—
417#117—1182no—
418C2×C4⋊C4—591no—
419C2×C4⋊C4—591no—
420C2×C4⋊C4—591no—
421C2×C4⋊C4C4×D5911yescharacteristic
422C2×C4⋊C4C4×D5911yescharacteristic
423C2×C22⋊C4—591no—
424C2×C22⋊C4—591no—
425C2×C22⋊C4—591no—
426C2×C22⋊C4—591no—
427C2×C22⋊C4—591no—
428C2×C22⋊C4—591no—
429C2×C22⋊C4—591no—
430C2×C22⋊C4—591no—
431C2×C42—591no—
432C2×C42—591no—
433C2×C42—591no—
434C2×C42—591no—
435C2×C42—1182no—
436C2×C42—1182no—
437C2×C42C22×D5911yescharacteristic
438C2×C42C22×D5911yescharacteristic
439C2×C42C22×D5911yescharacteristic
440C4⋊C8—22no—
441C4⋊C8—594no—
442C4⋊C8—1182no—
443C4⋊C8—1182no—
444C4⋊C8—1182no—
445C4⋊C8—1182no—
446C4⋊C8—2361no—
447C4⋊C8—2361no—
448C22⋊C8—1182no—
449C22⋊C8—1182no—
450C22⋊C8—1182no—
451C22⋊C8—1182no—
452C22⋊C8—2361no—
453C22⋊C8—2361no—
454C22⋊C8—2361no—
455C22⋊C8—2361no—
456#97—22no—
457#97—22no—
458#97—1182no—
459#97—1182no—
460C4×C8—22no—
461C4×C8—1182no—
462#95—591no—
463#95—591no—
464#95—591no—
465#95—591no—
466#95—591no—
467#95—591no—
468#95—591no—
469#95—591no—
470#95C4×D5911yescharacteristic
471#95C4×D5911yescharacteristic
472C24—591no—
473C24—591no—
474C2×D4—1182no—
475C2×D4—1182no—
476C2×D4—2361no—
477C22×C4—591no—
478C22×C4—591no—
479C22×C4—591no—
480C22×C4—591no—
481C22×C4—591no—
482C22×C4—591no—
483C22×C4—1182no—
484C22×C4—1182no—
485C22×C4—1182no—
486C22×C4—1181no—
487C22×C4—1181no—
488C22×C4—1181no—
489C22×C4—1181no—
490C22×C4—1181no—
491C22×C4—1181no—
492C22×C4—1181no—
493C22×C4—1181no—
494C22×C4—1181no—
495C22×C4—1181no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—2361no—
499C22×C4—2361no—
500C22×C4—2361no—
501C22×C4C2×C4×D5911yescharacteristic
502C22×C4C2×C4×D5911yescharacteristic
503C22×C4C2×C4×D5911yescharacteristic
504C22×C4C2×C4×D5911yescharacteristic
505C22×C4C2×C4×D5911yescharacteristic
506C22×C4C2×C4×D5911yescharacteristic
507C22×C4C23×D5911yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—592no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—1181no—
527C2×C8—1181no—
528C2×C8—1181no—
529C2×C8—1181no—
530C2×C8—1181no—
531C2×C8D4×D5912yes—
532C4⋊C4—41no—
533C4⋊C4—41no—
534C4⋊C4—1182no—
535C4⋊C4—1182no—
536C4⋊C4—1182no—
537C22⋊C4—1182no—
538C22⋊C4—1182no—
539C22⋊C4—1182no—
540C22⋊C4—1182no—
541C22⋊C4—1182no—
542C22⋊C4—2361no—
543C22⋊C4—2361no—
544C22⋊C4—2361no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—592no—
550C42—592no—
551C42—1182no—
552C42—1182no—
553C42—1181no—
554C42—1181no—
555C42#1174568512yes—
556C42#1174568512yes—
557C23—592no—
558C23—1181no—
559C23—1181no—
560C23—1181no—
561C23—1181no—
562C23—1181no—
563C23—1181no—
564C23—1181no—
565C23—1181no—
566C23—1181no—
567C23—1181no—
568C23—1181no—
569C23—1181no—
570C23—1181no—
571C23C22×C4×D5911yescharacteristic
572D4—2364no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—592no—
590C2×C4—592no—
591C2×C4—1181no—
592C2×C4—1181no—
593C2×C4—1181no—
594C2×C4—1181no—
595C2×C4—1181no—
596C2×C4—1181no—
597C2×C4—1181no—
598C2×C4—1181no—
599C2×C4—1181no—
600C2×C4—1181no—
601C2×C4—1181no—
602C2×C4—1181no—
603C2×C4—1181no—
604C2×C4—1181no—
605C2×C4—1181no—
606C2×C4—1181no—
607C2×C4—2364no—
608C2×C4—2364no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4—2361no—
616C2×C4—2361no—
617C2×C4#1427368412yes—
618C2×C4#1427368412yes—
619C2×C4C2×D4×D5911yescharacteristic
620C2×C4#41×D5911yescharacteristic
621C2×C4C2×#1174568511yescharacteristic
622C2×C4C2×#1174568511yescharacteristic
623C2×C4#1427377311yescharacteristic
624C2×C4#1427377511yescharacteristic
625C8—22no—
626C8—41no—
627C8—41no—
628C8—41no—
629C8—1182no—
630C8—2361no—
631C8—2361no—
632C8—2361no—
633C22—1182no—
634C22—1182no—
635C22—1182no—
636C22—2361no—
637C22—2361no—
638C22—2361no—
639C22—2361no—
640C22—2361no—
641C22—2361no—
642C22—2361no—
643C22—2361no—
644C22—2361no—
645C22—2361no—
646C22—2361no—
647C22C2×#1427368411yescharacteristic
648C22C4×D4×D5911yescharacteristic
649C22#1683788411yescharacteristic
650C22#131×D5911yescharacteristic
651C22#1683816711yescharacteristic
652C22#1683816811yescharacteristic
653C22#1683816811yescharacteristic
654C4—22no—
655C4—22no—
656C4—41no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—1182no—
661C4—1182no—
662C4—2361no—
663C4—2361no—
664C4—2361no—
665C4—2361no—
666C4#1683805311yescharacteristic
667C4#1683807311yescharacteristic
668C4#1683811511yescharacteristic
669C4#1683812411yescharacteristic
670C2—4721no—
671C2—2362no—
672C2#2142704111yescharacteristic
673C2#2143274511yescharacteristic
674C2#2143275111yescharacteristic
675C2#2143279611yescharacteristic
676C2#2143282511yescharacteristic
677C2#2143323411yescharacteristic
678C2#2143326511yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D59
commutator, socleC23×C59C23×C4
FittingC59×#1770C2
prime radicalC22×D236C2×C4
cosocleC22×C4×C59C24
hypercenter#1770D59
hypocenterC59#22801
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ #1770

Complements

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

NH ≅ G/Ntype
1. C2×#16837464C2semidirect
2. C2×#16837457C2semidirect
6. #21424709C2semidirect
7. #21424709C2semidirect
8. #21424707C2semidirect
9. #21424700C2semidirect
10. #21424249C2semidirect
11. #21424079C2semidirect
12. #21424075C2semidirect
13. #21423971C2semidirect
14. #21423954C2semidirect
15. C59×#1770C2semidirect
97. Dic59⋊C8D4semidirect
344. #1770D59semidirect
400. C59#22801semidirect

Maximal subgroups

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

subgroupindex
C2×#168374642
C2×#168374572
#214265372
#214248932
#214248902
#214247092
#214247072
#214247002
#214242492
#214240792
#214240752
#214239712
#214239542
C59×#17702
#2280159