Finite Group Databasebeta

← C59×#24004 #28436113

Subgroups — C59×#24004 #28436113

Order 15104.

1520 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#525C211yesmaximal, characteristic
2C2×C59×#483C211yesmaximal, characteristic, complemented
3C2×C59×#480C211yesmaximal, characteristic, complemented
4C2×C59×#380C211yesmaximal, characteristic, complemented
5C59×#2036C212yesmaximal, complemented
6C59×#2034C212yesmaximal, complemented
7C59×#1874C211yesmaximal, characteristic, complemented
8C59×#1872C211yesmaximal, characteristic, complemented
9C59×#1854C212yesmaximal, complemented
10C59×#1788C212yesmaximal, complemented
11C59×#1779C211yesmaximal, characteristic, complemented
12C22×#41×C59C2211yescharacteristic
13C24×C4×C59C2211yescharacteristic
14C59×#525—24no—
15C59×#525—24no—
16C2×#123×C59—21no—
17C2×C22⋊Q8×C59C2211yescharacteristic
18C2×C22⋊Q8×C59C2211yescharacteristic
19C2×#121×C59C2211yescharacteristic
20C2×#121×C59C2211yescharacteristic
21C2×#120×C59—21no—
22C2×C4×D4×C59—21no—
23C2×C4×D4×C59—21no—
24C2×#117×C59C2211yescharacteristic
25C22×C4⋊C4×C59C2211yescharacteristic
26C22×C4⋊C4×C59C2211yescharacteristic
27C22×C22⋊C4×C59—21no—
28C59×#483—24no—
29C59×#480—24no—
30C2×#107×C59C2212yescomplemented
31C2×#106×C59C2212yescomplemented
32C2×#103×C59C2212yescomplemented
33C2×#103×C59C2212yescomplemented
34C2×#102×C59C2212yescomplemented
35C2×#102×C59C2212yescomplemented
36C2×C22⋊C8×C59C2212yes—
37C2×C22⋊C8×C59C2211yescharacteristic
38C2×C22⋊C8×C59C2211yescharacteristic
39C2×C22⋊C8×C59C2212yes—
40C59×#380—21no—
41C59×#380—21no—
42C59×#380C2212yes—
43C59×#380C2212yes—
44C2×#95×C59—21no—
45C59×#340C2212yescomplemented
46C59×#340C2212yescomplemented
47C25×C59D411yescharacteristic
48C2×#41×C59—22no—
49C2×#41×C59—22no—
50C2×#41×C59—24no—
51C2×#41×C59—42no—
52C22×Q8×C59C2311yescharacteristic
53C22×D4×C59—21no—
54C22×D4×C59—21no—
55C22×D4×C59—21no—
56C22×D4×C59C2311yescharacteristic
57C23×C4×C59—21no—
58C23×C4×C59—22no—
59C23×C4×C59—22no—
60C23×C4×C59—24no—
61C23×C4×C59—21no—
62C23×C4×C59—21no—
63C23×C4×C59—42no—
64C23×C4×C59D411yescharacteristic
65C23×C4×C59D411yescharacteristic
66C23×C4×C59D411yescharacteristic
67C23×C4×C59C2311yescharacteristic
68C23×C4×C59C2311yescharacteristic
69C23×C4×C59C2311yescharacteristic
70C22×C8×C59C2312yes—
71C22×C8×C59C2312yes—
72#123×C59—28no—
73C22⋊Q8×C59—22no—
74C22⋊Q8×C59—22no—
75C22⋊Q8×C59—22no—
76C22⋊Q8×C59D414yes—
77#121×C59—22no—
78#121×C59—22no—
79#121×C59—22no—
80#121×C59D414yes—
81#120×C59—28no—
82C4×D4×C59—28no—
83C4×D4×C59—28no—
84#117×C59—22no—
85#117×C59—22no—
86C2×C4⋊C4×C59—21no—
87C2×C4⋊C4×C59—21no—
88C2×C4⋊C4×C59—22no—
89C2×C4⋊C4×C59—22no—
90C2×C4⋊C4×C59—21no—
91C2×C4⋊C4×C59—21no—
92C2×C4⋊C4×C59—42no—
93C2×C4⋊C4×C59C2312yes—
94C2×C4⋊C4×C59C2312yes—
95C2×C4⋊C4×C59C2311yescharacteristic
96C2×C4⋊C4×C59C2311yescharacteristic
97C2×C22⋊C4×C59—21no—
98C2×C22⋊C4×C59—21no—
99C2×C22⋊C4×C59—21no—
100C2×C22⋊C4×C59—21no—
101C2×C22⋊C4×C59—21no—
102C2×C22⋊C4×C59—22no—
103C2×C22⋊C4×C59—22no—
104C2×C22⋊C4×C59—44no—
105C2×C42×C59—21no—
106#107×C59—24no—
107#106×C59—24no—
108#103×C59—24no—
109#103×C59—42no—
110#102×C59—24no—
111#102×C59—42no—
112C22⋊C8×C59—22no—
113C22⋊C8×C59—22no—
114C22⋊C8×C59—24no—
115C22⋊C8×C59—42no—
116#95×C59—22no—
117#95×C59—22no—
118C24×C59—22no—
119C24×C59—22no—
120C24×C59—22no—
121C24×C59—22no—
122C24×C59—22no—
123C24×C59—21no—
124C24×C59—41no—
125C24×C59—41no—
126C24×C59C2×D411yescharacteristic
127C24×C59C2×D411yescharacteristic
128C24×C59C2×D411yescharacteristic
129#41×C59—48no—
130#41×C59—48no—
131C2×Q8×C59—21no—
132C2×Q8×C59—22no—
133C2×Q8×C59—22no—
134C2×Q8×C59C2×D412yes—
135C2×D4×C59—24no—
136C2×D4×C59—24no—
137C2×D4×C59—24no—
138C2×D4×C59—21no—
139C2×D4×C59—22no—
140C2×D4×C59—22no—
141C2×D4×C59—42no—
142C2×D4×C59—42no—
143C2×D4×C59—42no—
144C2×D4×C59—42no—
145C2×D4×C59—42no—
146C2×D4×C59—42no—
147C2×D4×C59C2×D412yes—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—22no—
151C22×C4×C59—22no—
152C22×C4×C59—22no—
153C22×C4×C59—24no—
154C22×C4×C59—22no—
155C22×C4×C59—22no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—22no—
160C22×C4×C59—22no—
161C22×C4×C59—22no—
162C22×C4×C59—22no—
163C22×C4×C59—21no—
164C22×C4×C59—21no—
165C22×C4×C59—22no—
166C22×C4×C59—22no—
167C22×C4×C59—22no—
168C22×C4×C59—22no—
169C22×C4×C59—41no—
170C22×C4×C59—41no—
171C22×C4×C59—41no—
172C22×C4×C59—48no—
173C22×C4×C59—48no—
174C22×C4×C59—42no—
175C22×C4×C59—42no—
176C22×C4×C59—42no—
177C22×C4×C59—42no—
178C22×C4×C59—42no—
179C22×C4×C59—42no—
180C22×C4×C59—42no—
181C22×C4×C59—42no—
182C22×C4×C59C2×D411yescharacteristic
183C22×C4×C59C2×D411yescharacteristic
184C22×C4×C59C2×D412yes—
185C22×C4×C59C2×D412yes—
186C22×C4×C59C2×D411yescharacteristic
187C22×C4×C59#4114yes—
188C22×C4×C59C2411yescharacteristic
189C2×C8×C59—22no—
190C2×C8×C59—22no—
191C2×C8×C59—22no—
192C2×C8×C59—22no—
193C2×C8×C59—22no—
194C2×C8×C59—22no—
195C4⋊C4×C59—24no—
196C4⋊C4×C59—24no—
197C4⋊C4×C59—21no—
198C4⋊C4×C59—21no—
199C4⋊C4×C59—22no—
200C4⋊C4×C59—22no—
201C4⋊C4×C59—22no—
202C4⋊C4×C59—22no—
203C4⋊C4×C59—42no—
204C4⋊C4×C59—42no—
205C4⋊C4×C59C2×D412yes—
206C4⋊C4×C59C2×D412yes—
207C22⋊C4×C59—24no—
208C22⋊C4×C59—24no—
209C22⋊C4×C59—24no—
210C22⋊C4×C59—24no—
211C22⋊C4×C59—24no—
212C22⋊C4×C59—44no—
213C22⋊C4×C59—44no—
214C42×C59—24no—
215C23×C59—21no—
216C23×C59—21no—
217C23×C59—21no—
218C23×C59—21no—
219C23×C59—28no—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—22no—
233C23×C59—44no—
234C23×C59—44no—
235C23×C59—44no—
236C23×C59—44no—
237C23×C59—44no—
238C23×C59—44no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59#12012yes—
246C23×C59#12312yes—
247C23×C59#13512yes—
248C23×C59AGL(1,ℤ/8)12yes—
249C23×C59#13712yes—
250C23×C59C22×D411yescharacteristic
251Q8×C59—24no—
252Q8×C59—42no—
253D4×C59—24no—
254D4×C59—48no—
255D4×C59—48no—
256D4×C59—48no—
257D4×C59—42no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—24no—
263C2×C4×C59—24no—
264C2×C4×C59—24no—
265C2×C4×C59—24no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—21no—
269C2×C4×C59—22no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
272C2×C4×C59—44no—
273C2×C4×C59—44no—
274C2×C4×C59—44no—
275C2×C4×C59—48no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59—42no—
283C2×C4×C59—42no—
284C2×C4×C59—42no—
285C2×C4×C59—42no—
286C2×C4×C59—42no—
287C2×C4×C59—42no—
288C2×C4×C59—42no—
289C2×C4×C59—42no—
290C2×C4×C59—84no—
291C2×C4×C59—84no—
292C2×C4×C59#12012yes—
293C2×C4×C59#12312yes—
294C2×C4×C59C22×D411yescharacteristic
295C2×C4×C59C22×D411yescharacteristic
296C2×C4×C59C2×#4112yes—
297C2×C4×C59H(5,𝔽2)12yes—
298C8×C59—42no—
299C8×C59—42no—
300#24004C5911yesmaximal, characteristic, direct product factor, Sylow
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—22no—
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—416no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59—42no—
323C22×C59—42no—
324C22×C59—42no—
325C22×C59—81no—
326C22×C59—81no—
327C22×C59—81no—
328C22×C59—81no—
329C22×C59#44914yes—
330C22×C59C2×#12011yescharacteristic
331C22×C59C2×#12311yescharacteristic
332C22×C59#53411yescharacteristic
333C22×C59C2×#13511yescharacteristic
334C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
335C22×C59C2×#13711yescharacteristic
336C22×C59#57511yescharacteristic
337C4×C59—22no—
338C4×C59—22no—
339C4×C59—41no—
340C4×C59—42no—
341C4×C59—42no—
342C4×C59—42no—
343C4×C59—82no—
344C4×C59—82no—
345C4×C59#54612yes—
346C4×C59#54612yes—
347C2×#525C2×C5911yescharacteristic
348C2×#483C2×C5911yescharacteristic, complemented
349C2×#480C2×C5911yescharacteristic, complemented
350C2×#380C2×C5911yescharacteristic, complemented
351#2036C2×C5912yescomplemented
352#2034C2×C5912yescomplemented
353#1874C2×C5911yescharacteristic, complemented
354#1872C2×C5911yescharacteristic, complemented
355#1854C2×C5912yescomplemented
356#1788C2×C5912yescomplemented
357#1779C2×C5911yescharacteristic, complemented
358C2×C59—24no—
359C2×C59—42no—
360C2×C59—42no—
361C2×C59—82no—
362C2×C59#240511yescharacteristic
363C2×C59C2×#44911yescharacteristic
364C2×C59#300711yescharacteristic
365C2×C59#309111yescharacteristic
366C2×C59#309211yescharacteristic
367C2×C59#319011yescharacteristic
368C2×C59#319411yescharacteristic
369C22×#41C22×C5911yescharacteristic
370C24×C4C22×C5911yescharacteristic
371#525—24no—
372#525—24no—
373C2×#123—21no—
374C2×C22⋊Q8C22×C5911yescharacteristic
375C2×C22⋊Q8C22×C5911yescharacteristic
376C2×#121C22×C5911yescharacteristic
377C2×#121C22×C5911yescharacteristic
378C2×#120—21no—
379C2×C4×D4—21no—
380C2×C4×D4—21no—
381C2×#117C22×C5911yescharacteristic
382C22×C4⋊C4C22×C5911yescharacteristic
383C22×C4⋊C4C22×C5911yescharacteristic
384C22×C22⋊C4—21no—
385#483—24no—
386#480—24no—
387C2×#107C22×C5912yescomplemented
388C2×#106C22×C5912yescomplemented
389C2×#103C22×C5912yescomplemented
390C2×#103C22×C5912yescomplemented
391C2×#102C22×C5912yescomplemented
392C2×#102C22×C5912yescomplemented
393C2×C22⋊C8C22×C5911yescharacteristic
394C2×C22⋊C8C22×C5911yescharacteristic
395C2×C22⋊C8C22×C5912yes—
396C2×C22⋊C8C22×C5912yes—
397#380—21no—
398#380—21no—
399#380C22×C5912yes—
400#380C22×C5912yes—
401C2×#95—21no—
402#340C22×C5912yescomplemented
403#340C22×C5912yescomplemented
404C59#2400411yescharacteristic, direct product factor, Sylow
405C25D4×C5911yescharacteristic
406C2×#41—22no—
407C2×#41—22no—
408C2×#41—24no—
409C2×#41—42no—
410C22×Q8C23×C5911yescharacteristic
411C22×D4—21no—
412C22×D4—21no—
413C22×D4—21no—
414C22×D4C23×C5911yescharacteristic
415C23×C4—21no—
416C23×C4—22no—
417C23×C4—22no—
418C23×C4—24no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—42no—
422C23×C4D4×C5911yescharacteristic
423C23×C4D4×C5911yescharacteristic
424C23×C4D4×C5911yescharacteristic
425C23×C4C23×C5911yescharacteristic
426C23×C4C23×C5911yescharacteristic
427C23×C4C23×C5911yescharacteristic
428C22×C8C23×C5912yes—
429C22×C8C23×C5912yes—
430#123—28no—
431C22⋊Q8—22no—
432C22⋊Q8—22no—
433C22⋊Q8—22no—
434C22⋊Q8D4×C5914yes—
435#121—22no—
436#121—22no—
437#121—22no—
438#121D4×C5914yes—
439#120—28no—
440C4×D4—28no—
441C4×D4—28no—
442#117—22no—
443#117—22no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—22no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—42no—
451C2×C4⋊C4C23×C5912yes—
452C2×C4⋊C4C23×C5912yes—
453C2×C4⋊C4C23×C5911yescharacteristic
454C2×C4⋊C4C23×C5911yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—44no—
463C2×C42—21no—
464#107—24no—
465#106—24no—
466#103—24no—
467#103—42no—
468#102—24no—
469#102—42no—
470C22⋊C8—22no—
471C22⋊C8—22no—
472C22⋊C8—24no—
473C22⋊C8—42no—
474#95—22no—
475#95—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—21no—
482C24—41no—
483C24—41no—
484C24C2×D4×C5911yescharacteristic
485C24C2×D4×C5911yescharacteristic
486C24C2×D4×C5911yescharacteristic
487#41—48no—
488#41—48no—
489C2×Q8—21no—
490C2×Q8—22no—
491C2×Q8—22no—
492C2×Q8C2×D4×C5912yes—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4C2×D4×C5912yes—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
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—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4C2×D4×C5911yescharacteristic
541C22×C4C2×D4×C5911yescharacteristic
542C22×C4C2×D4×C5912yes—
543C22×C4C2×D4×C5912yes—
544C22×C4C2×D4×C5911yescharacteristic
545C22×C4#41×C5914yes—
546C22×C4C24×C5911yescharacteristic
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4C2×D4×C5912yes—
564C4⋊C4C2×D4×C5912yes—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C42—24no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—28no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23#120×C5912yes—
604C23#123×C5912yes—
605C23#135×C5912yes—
606C23AGL(1,ℤ/8)×C5912yes—
607C23#137×C5912yes—
608C23C22×D4×C5911yescharacteristic
609Q8—24no—
610Q8—42no—
611D4—24no—
612D4—48no—
613D4—48no—
614D4—48no—
615D4—42no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—48no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—84no—
649C2×C4—84no—
650C2×C4#120×C5912yes—
651C2×C4#123×C5912yes—
652C2×C4C22×D4×C5911yescharacteristic
653C2×C4C22×D4×C5911yescharacteristic
654C2×C4C2×#41×C5912yes—
655C2×C4H(5,𝔽2)×C5912yes—
656C8—42no—
657C8—42no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—416no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22C59×#44914yes—
687C22C2×#120×C5911yescharacteristic
688C22C2×#123×C5911yescharacteristic
689C22C59×#53411yescharacteristic
690C22C2×#135×C5911yescharacteristic
691C22C2×AGL(1,ℤ/8)×C5911yescharacteristic
692C22C2×#137×C5911yescharacteristic
693C22C59×#57511yescharacteristic
694C4—22no—
695C4—22no—
696C4—42no—
697C4—42no—
698C4—41no—
699C4—42no—
700C4—82no—
701C4—82no—
702C4C59×#54612yes—
703C4C59×#54612yes—
704C2—24no—
705C2—42no—
706C2—42no—
707C2—82no—
708C2C59×#240511yescharacteristic
709C2C2×C59×#44911yescharacteristic
710C2C59×#300711yescharacteristic
711C2C59×#309111yescharacteristic
712C2C59×#309211yescharacteristic
713C2C59×#319011yescharacteristic
714C2C59×#319411yescharacteristic
subgroupG/H
center, socleC23×C59C22×D4
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC2×C59×#525C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C59 ◁ C24×C4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C59×#483C2semidirect
3. C2×C59×#480C2semidirect
4. C2×C59×#380C2semidirect
5. C59×#2036C2semidirect
6. C59×#2034C2semidirect
7. C59×#1874C2semidirect
8. C59×#1872C2semidirect
9. C59×#1854C2semidirect
10. C59×#1788C2semidirect
11. C59×#1779C2semidirect
30. C2×#107×C59C22semidirect
31. C2×#106×C59C22semidirect
32. C2×#103×C59C22semidirect
33. C2×#103×C59C22semidirect
34. C2×#102×C59C22semidirect
35. C2×#102×C59C22semidirect
45. C59×#340C22semidirect
46. C59×#340C22semidirect
300. #24004C59direct (N × H)
348. C2×#483C2×C59semidirect
349. C2×#480C2×C59semidirect
350. C2×#380C2×C59semidirect
351. #2036C2×C59semidirect
352. #2034C2×C59semidirect
353. #1874C2×C59semidirect
354. #1872C2×C59semidirect
355. #1854C2×C59semidirect
356. #1788C2×C59semidirect
357. #1779C2×C59semidirect
387. C2×#107C22×C59semidirect
388. C2×#106C22×C59semidirect
389. C2×#103C22×C59semidirect
390. C2×#103C22×C59semidirect
391. C2×#102C22×C59semidirect
392. C2×#102C22×C59semidirect
402. #340C22×C59semidirect
403. #340C22×C59semidirect
404. C59#24004direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C59×#5252
C2×C59×#4832
C2×C59×#4802
C2×C59×#3802
C59×#20362
C59×#20342
C59×#18742
C59×#18722
C59×#18542
C59×#17882
C59×#17792
#2400459