Finite Group Databasebeta

← C59×#17088 #28429197

Subgroups — C59×#17088 #28429197

Order 15104.

1958 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×C59×#399C211yesmaximal, characteristic, complemented
2C2×C59×#394C212yesmaximal, complemented
3C2×C59×#394C212yesmaximal, complemented
4C2×C59×#392C211yesmaximal, characteristic
5C59×#1441C212yesmaximal, complemented
6C59×#1440C211yesmaximal, characteristic, complemented
7C59×#1439C212yesmaximal, complemented
8C59×#1439C212yesmaximal, complemented
9C59×#1438C212yesmaximal, complemented
10C23×D4×C59C2211yescharacteristic
11C23×D4×C59C2212yes—
12C22×C4⋊C4×C59C2212yes—
13C22×C4⋊C4×C59C2212yes—
14C22×C4⋊C4×C59C2211yescharacteristic
15C22×C22⋊C4×C59C2212yes—
16C22×C22⋊C4×C59C2212yes—
17C22×C22⋊C4×C59C2211yescharacteristic
18C22×C22⋊C4×C59C2212yes—
19C22×C22⋊C4×C59C2212yes—
20C22×C22⋊C4×C59C2212yes—
21C22×C22⋊C4×C59C2211yescharacteristic
22C22×C22⋊C4×C59C2211yescharacteristic
23C22×C22⋊C4×C59C2212yes—
24C59×#399—24no—
25C59×#394—28no—
26C59×#394—28no—
27C59×#392—24no—
28C2×#95×C59C2211yescharacteristic
29C2×#95×C59C2212yes—
30C2×#95×C59C2212yes—
31C2×#95×C59C2211yescharacteristic
32C2×#95×C59C2212yes—
33C2×#95×C59C2212yes—
34C2×#95×C59C2212yes—
35C25×C59C2311yescharacteristic
36C25×C59C2312yes—
37C22×D4×C59—24no—
38C22×D4×C59—24no—
39C22×D4×C59—24no—
40C22×D4×C59—22no—
41C22×D4×C59—24no—
42C22×D4×C59—42no—
43C22×D4×C59—42no—
44C22×D4×C59—42no—
45C22×D4×C59—41no—
46C22×D4×C59—41no—
47C22×D4×C59—42no—
48C22×D4×C59—42no—
49C23×C4×C59C2312yes—
50C23×C4×C59C2312yes—
51C23×C4×C59C2312yes—
52C23×C4×C59C2311yescharacteristic
53C23×C4×C59C2311yescharacteristic
54C23×C4×C59C2312yes—
55C23×C4×C59C2312yes—
56C2×C4⋊C4×C59—24no—
57C2×C4⋊C4×C59—24no—
58C2×C4⋊C4×C59—24no—
59C2×C4⋊C4×C59—22no—
60C2×C4⋊C4×C59—24no—
61C2×C4⋊C4×C59—42no—
62C2×C4⋊C4×C59—42no—
63C2×C4⋊C4×C59—41no—
64C2×C4⋊C4×C59—41no—
65C2×C22⋊C4×C59—24no—
66C2×C22⋊C4×C59—24no—
67C2×C22⋊C4×C59—24no—
68C2×C22⋊C4×C59—24no—
69C2×C22⋊C4×C59—24no—
70C2×C22⋊C4×C59—24no—
71C2×C22⋊C4×C59—24no—
72C2×C22⋊C4×C59—24no—
73C2×C22⋊C4×C59—24no—
74C2×C22⋊C4×C59—41no—
75C2×C22⋊C4×C59—41no—
76C2×C22⋊C4×C59—42no—
77C2×C22⋊C4×C59—42no—
78C2×C22⋊C4×C59—42no—
79C2×C22⋊C4×C59—41no—
80C2×C22⋊C4×C59—42no—
81C2×C22⋊C4×C59—42no—
82C2×C22⋊C4×C59—42no—
83C2×C22⋊C4×C59—42no—
84C2×C22⋊C4×C59—42no—
85C2×C22⋊C4×C59—42no—
86C2×C22⋊C4×C59—42no—
87C2×C22⋊C4×C59—41no—
88C2×C22⋊C4×C59D414yes—
89C2×C22⋊C4×C59D418yescomplemented
90#95×C59—22no—
91#95×C59—24no—
92#95×C59—24no—
93#95×C59—22no—
94#95×C59—42no—
95#95×C59—42no—
96#95×C59—42no—
97C24×C59—22no—
98C24×C59—22no—
99C24×C59—22no—
100C24×C59—22no—
101C24×C59—22no—
102C24×C59—22no—
103C24×C59—21no—
104C24×C59—21no—
105C24×C59—22no—
106C24×C59—22no—
107C24×C59—22no—
108C24×C59—22no—
109C24×C59—22no—
110C24×C59—22no—
111C24×C59—22no—
112C24×C59—22no—
113C24×C59—22no—
114C24×C59—22no—
115C24×C59—22no—
116C24×C59—22no—
117C24×C59—22no—
118C24×C59—22no—
119C24×C59C2×D412yes—
120C24×C59C2×D414yes—
121C24×C59C2411yescharacteristic
122C2×D4×C59—48no—
123C2×D4×C59—48no—
124C2×D4×C59—48no—
125C2×D4×C59—44no—
126C2×D4×C59—48no—
127C2×D4×C59—44no—
128C2×D4×C59—48no—
129C2×D4×C59—48no—
130C2×D4×C59—48no—
131C2×D4×C59—48no—
132C2×D4×C59—44no—
133C2×D4×C59—48no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—22no—
142C22×C4×C59—22no—
143C22×C4×C59—22no—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59—22no—
147C22×C4×C59—22no—
148C22×C4×C59—22no—
149C22×C4×C59—22no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—22no—
153C22×C4×C59—22no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—22no—
157C22×C4×C59—22no—
158C22×C4×C59—22no—
159C22×C4×C59—22no—
160C22×C4×C59—22no—
161C22×C4×C59—22no—
162C22×C4×C59—22no—
163C22×C4×C59—22no—
164C22×C4×C59—22no—
165C22×C4×C59—22no—
166C22×C4×C59—22no—
167C22×C4×C59—22no—
168C22×C4×C59—22no—
169C22×C4×C59—22no—
170C22×C4×C59—22no—
171C22×C4×C59—22no—
172C22×C4×C59—22no—
173C22×C4×C59—22no—
174C22×C4×C59C2×D414yes—
175C22×C4×C59C2×D412yes—
176C22×C4×C59C2×D412yes—
177C22×C4×C59C2×D414yes—
178C22×C4×C59#4114yes—
179C4⋊C4×C59—48no—
180C4⋊C4×C59—48no—
181C4⋊C4×C59—44no—
182C22⋊C4×C59—44no—
183C22⋊C4×C59—48no—
184C22⋊C4×C59—44no—
185C22⋊C4×C59—48no—
186C22⋊C4×C59—48no—
187C22⋊C4×C59—48no—
188C22⋊C4×C59—48no—
189C22⋊C4×C59—48no—
190C22⋊C4×C59—44no—
191C23×C59—24no—
192C23×C59—22no—
193C23×C59—24no—
194C23×C59—22no—
195C23×C59—22no—
196C23×C59—24no—
197C23×C59—24no—
198C23×C59—24no—
199C23×C59—24no—
200C23×C59—24no—
201C23×C59—24no—
202C23×C59—24no—
203C23×C59—42no—
204C23×C59—42no—
205C23×C59—42no—
206C23×C59—42no—
207C23×C59—42no—
208C23×C59—42no—
209C23×C59—42no—
210C23×C59—42no—
211C23×C59—42no—
212C23×C59—42no—
213C23×C59—42no—
214C23×C59—42no—
215C23×C59—42no—
216C23×C59—42no—
217C23×C59—42no—
218C23×C59—42no—
219C23×C59—42no—
220C23×C59—42no—
221C23×C59—41no—
222C23×C59—42no—
223C23×C59—42no—
224C23×C59—42no—
225C23×C59—42no—
226C23×C59—42no—
227C23×C59—42no—
228C23×C59—42no—
229C23×C59—41no—
230C23×C59—42no—
231C23×C59—41no—
232C23×C59—42no—
233C23×C59—42no—
234C23×C59—42no—
235C23×C59—41no—
236C23×C59—42no—
237C23×C59—42no—
238C23×C59—42no—
239C23×C59—42no—
240C23×C59—42no—
241C23×C59—42no—
242C23×C59—42no—
243C23×C59—42no—
244C23×C59—42no—
245C23×C59—42no—
246C23×C59—42no—
247C23×C59C22×D411yescharacteristic
248C23×C59C22×D412yes—
249C23×C59C2×#4112yes—
250C23×C59H(5,𝔽2)11yescharacteristic
251C23×C59H(5,𝔽2)12yes—
252C23×C59H(5,𝔽2)12yes—
253C23×C59H(5,𝔽2)11yescharacteristic
254C23×C59H(5,𝔽2)12yes—
255C23×C592−1+412yes—
256D4×C59—416no—
257D4×C59—432no—
258C2×C4×C59—24no—
259C2×C4×C59—22no—
260C2×C4×C59—24no—
261C2×C4×C59—22no—
262C2×C4×C59—24no—
263C2×C4×C59—24no—
264C2×C4×C59—24no—
265C2×C4×C59—24no—
266C2×C4×C59—24no—
267C2×C4×C59—24no—
268C2×C4×C59—24no—
269C2×C4×C59—24no—
270C2×C4×C59—24no—
271C2×C4×C59—42no—
272C2×C4×C59—42no—
273C2×C4×C59—42no—
274C2×C4×C59—42no—
275C2×C4×C59—42no—
276C2×C4×C59—42no—
277C2×C4×C59—42no—
278C2×C4×C59—42no—
279C2×C4×C59—41no—
280C2×C4×C59—42no—
281C2×C4×C59—42no—
282C2×C4×C59—42no—
283C2×C4×C59—41no—
284C2×C4×C59—42no—
285C2×C4×C59—41no—
286C2×C4×C59—41no—
287C2×C4×C59—42no—
288C2×C4×C59—42no—
289C2×C4×C59—42no—
290C2×C4×C59—42no—
291C2×C4×C59—42no—
292C2×C4×C59—42no—
293C2×C4×C59—42no—
294C2×C4×C59—42no—
295C2×C4×C59—42no—
296C2×C4×C59—42no—
297C2×C4×C59—42no—
298C2×C4×C59—42no—
299C2×C4×C59—42no—
300C2×C4×C59—42no—
301C2×C4×C59—42no—
302C2×C4×C59—42no—
303#17088C5911yesmaximal, characteristic, direct product factor, Sylow
304C22×C59—42no—
305C22×C59—44no—
306C22×C59—42no—
307C22×C59—44no—
308C22×C59—44no—
309C22×C59—44no—
310C22×C59—44no—
311C22×C59—44no—
312C22×C59—44no—
313C22×C59—42no—
314C22×C59—44no—
315C22×C59—44no—
316C22×C59—82no—
317C22×C59—82no—
318C22×C59—82no—
319C22×C59—82no—
320C22×C59—82no—
321C22×C59—82no—
322C22×C59—82no—
323C22×C59—82no—
324C22×C59—82no—
325C22×C59—82no—
326C22×C59—82no—
327C22×C59—82no—
328C22×C59#53411yescharacteristic
329C22×C59#53412yes—
330C22×C59#53511yescharacteristic
331C22×C59#53512yes—
332C22×C59#53611yescharacteristic
333C22×C59#53712yes—
334C22×C59#53812yes—
335C22×C59#54012yes—
336C22×C59#54212yes—
337C22×C59D4211yescharacteristic
338C22×C59D4212yes—
339C22×C59#54612yes—
340C22×C59#54612yes—
341C22×C59#54712yes—
342C22×C59#55911yescharacteristic
343C22×C59#56011yescharacteristic
344C22×C59#56012yes—
345C22×C59#56011yescharacteristic
346C22×C59#56212yes—
347C22×C59#56212yes—
348C22×C59#56212yes—
349C4×C59—42no—
350C4×C59—44no—
351C4×C59—44no—
352C4×C59—44no—
353C4×C59—42no—
354C4×C59—82no—
355C4×C59—82no—
356C2×#399C2×C5911yescharacteristic, complemented
357C2×#394C2×C5912yescomplemented
358C2×#394C2×C5912yescomplemented
359C2×#392C2×C5911yescharacteristic
360#1441C2×C5912yescomplemented
361#1440C2×C5911yescharacteristic, complemented
362#1439C2×C5912yescomplemented
363#1439C2×C5912yescomplemented
364#1438C2×C5912yescomplemented
365C2×C59—82no—
366C2×C59—84no—
367C2×C59#266911yescharacteristic
368C2×C59#267112yes—
369C2×C59#267212yes—
370C2×C59#267812yes—
371C2×C59#270911yescharacteristic
372C2×C59#271012yes—
373C2×C59#281312yes—
374C2×C59#281611yescharacteristic
375C2×C59#282912yes—
376C23×D4C22×C5911yescharacteristic
377C23×D4C22×C5912yes—
378C22×C4⋊C4C22×C5912yes—
379C22×C4⋊C4C22×C5912yes—
380C22×C4⋊C4C22×C5911yescharacteristic
381C22×C22⋊C4C22×C5912yes—
382C22×C22⋊C4C22×C5912yes—
383C22×C22⋊C4C22×C5911yescharacteristic
384C22×C22⋊C4C22×C5912yes—
385C22×C22⋊C4C22×C5912yes—
386C22×C22⋊C4C22×C5912yes—
387C22×C22⋊C4C22×C5911yescharacteristic
388C22×C22⋊C4C22×C5911yescharacteristic
389C22×C22⋊C4C22×C5912yes—
390#399—24no—
391#394—28no—
392#394—28no—
393#392—24no—
394C2×#95C22×C5911yescharacteristic
395C2×#95C22×C5912yes—
396C2×#95C22×C5912yes—
397C2×#95C22×C5911yescharacteristic
398C2×#95C22×C5912yes—
399C2×#95C22×C5912yes—
400C2×#95C22×C5912yes—
401C59#1708811yescharacteristic, direct product factor, Sylow
402C25C23×C5911yescharacteristic
403C25C23×C5912yes—
404C22×D4—24no—
405C22×D4—24no—
406C22×D4—24no—
407C22×D4—22no—
408C22×D4—24no—
409C22×D4—42no—
410C22×D4—42no—
411C22×D4—42no—
412C22×D4—41no—
413C22×D4—41no—
414C22×D4—42no—
415C22×D4—42no—
416C23×C4C23×C5912yes—
417C23×C4C23×C5912yes—
418C23×C4C23×C5912yes—
419C23×C4C23×C5912yes—
420C23×C4C23×C5911yescharacteristic
421C23×C4C23×C5911yescharacteristic
422C23×C4C23×C5912yes—
423C2×C4⋊C4—24no—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—24no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—42no—
429C2×C4⋊C4—42no—
430C2×C4⋊C4—41no—
431C2×C4⋊C4—41no—
432C2×C22⋊C4—24no—
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—24no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—41no—
443C2×C22⋊C4—42no—
444C2×C22⋊C4—42no—
445C2×C22⋊C4—42no—
446C2×C22⋊C4—41no—
447C2×C22⋊C4—42no—
448C2×C22⋊C4—42no—
449C2×C22⋊C4—42no—
450C2×C22⋊C4—42no—
451C2×C22⋊C4—42no—
452C2×C22⋊C4—42no—
453C2×C22⋊C4—42no—
454C2×C22⋊C4—41no—
455C2×C22⋊C4D4×C5914yes—
456C2×C22⋊C4D4×C5918yescomplemented
457#95—22no—
458#95—24no—
459#95—24no—
460#95—22no—
461#95—42no—
462#95—42no—
463#95—42no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—21no—
471C24—21no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—22no—
484C24—22no—
485C24—22no—
486C24C2×D4×C5912yes—
487C24C2×D4×C5914yes—
488C24C24×C5911yescharacteristic
489C2×D4—48no—
490C2×D4—48no—
491C2×D4—48no—
492C2×D4—44no—
493C2×D4—48no—
494C2×D4—44no—
495C2×D4—48no—
496C2×D4—48no—
497C2×D4—48no—
498C2×D4—48no—
499C2×D4—44no—
500C2×D4—48no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4C2×D4×C5914yes—
542C22×C4C2×D4×C5912yes—
543C22×C4C2×D4×C5912yes—
544C22×C4C2×D4×C5914yes—
545C22×C4#41×C5914yes—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—44no—
549C22⋊C4—44no—
550C22⋊C4—48no—
551C22⋊C4—44no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C23—24no—
559C23—22no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—41no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—41no—
597C23—42no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23C22×D4×C5911yescharacteristic
615C23C22×D4×C5912yes—
616C23C2×#41×C5912yes—
617C23H(5,𝔽2)×C5911yescharacteristic
618C23H(5,𝔽2)×C5912yes—
619C23H(5,𝔽2)×C5912yes—
620C23H(5,𝔽2)×C5911yescharacteristic
621C23H(5,𝔽2)×C5912yes—
622C232−1+4×C5912yes—
623D4—416no—
624D4—432no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C22—44no—
671C22—42no—
672C22—44no—
673C22—42no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—44no—
679C22—44no—
680C22—42no—
681C22—44no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22—82no—
693C22—82no—
694C22C59×#53412yes—
695C22C59×#53411yescharacteristic
696C22C59×#53512yes—
697C22C59×#53511yescharacteristic
698C22C59×#53611yescharacteristic
699C22C59×#53712yes—
700C22C59×#53812yes—
701C22C59×#54012yes—
702C22C59×#54212yes—
703C22D42×C5911yescharacteristic
704C22D42×C5912yes—
705C22C59×#54612yes—
706C22C59×#54612yes—
707C22C59×#54712yes—
708C22C59×#55911yescharacteristic
709C22C59×#56011yescharacteristic
710C22C59×#56012yes—
711C22C59×#56011yescharacteristic
712C22C59×#56212yes—
713C22C59×#56212yes—
714C22C59×#56212yes—
715C4—42no—
716C4—44no—
717C4—44no—
718C4—44no—
719C4—42no—
720C4—82no—
721C4—82no—
722C2—84no—
723C2—82no—
724C2C59×#266911yescharacteristic
725C2C59×#267112yes—
726C2C59×#267212yes—
727C2C59×#267812yes—
728C2C59×#270911yescharacteristic
729C2C59×#271012yes—
730C2C59×#281312yes—
731C2C59×#281611yescharacteristic
732C2C59×#282912yes—
subgroupG/H
center, socleC24×C59C24
commutator, Frattini, cosocleC24C24×C59
prime radicalC2×C59×#392C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C59×#399C2semidirect
2. C2×C59×#394C2semidirect
3. C2×C59×#394C2semidirect
5. C59×#1441C2semidirect
6. C59×#1440C2semidirect
7. C59×#1439C2semidirect
8. C59×#1439C2semidirect
9. C59×#1438C2semidirect
89. C2×C22⋊C4×C59D4semidirect
303. #17088C59direct (N × H)
356. C2×#399C2×C59semidirect
357. C2×#394C2×C59semidirect
358. C2×#394C2×C59semidirect
360. #1441C2×C59semidirect
361. #1440C2×C59semidirect
362. #1439C2×C59semidirect
363. #1439C2×C59semidirect
364. #1438C2×C59semidirect
401. C59#17088direct (N × H)
456. C2×C22⋊C4D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#3992
C2×C59×#3942
C2×C59×#3922
C59×#14412
C59×#14402
C59×#14392
C59×#14382
#1708859