Finite Group Databasebeta

← C59×#33572 #28445681

Subgroups — C59×#33572 #28445681

Order 15104.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3551C211yesmaximal, characteristic, complemented
2C59×#3022C211yesmaximal, characteristic, complemented
3C59×#3021C211yesmaximal, characteristic, complemented
4C59×#3018C211yesmaximal, characteristic, complemented
5C59×#2204C214yesmaximal, complemented
6C59×#2203C214yesmaximal, complemented
7C59×#2135C211yesmaximal, characteristic, complemented
8C59×#2134C211yesmaximal, characteristic, complemented
9C59×#2132C211yesmaximal, characteristic, complemented
10C59×#585C2211yescharacteristic
11C59×#575—21no—
12C2×#137×C59—21no—
13C2×AGL(1,ℤ/8)×C59—21no—
14C59×#563C2212yescomplemented
15C59×#560—21no—
16C59×#555C2212yescomplemented
17C59×#553—21no—
18C59×#552—21no—
19C59×#551—21no—
20C59×#548—21no—
21C59×#546—21no—
22C59×#540—22no—
23C59×#538—22no—
24C59×#537—21no—
25C59×#536C2211yescharacteristic
26C59×#535C2211yescharacteristic
27C59×#532C2211yescharacteristic
28C59×#529—21no—
29C59×#456C2212yescomplemented
30C59×#456C2214yescomplemented
31C59×#455—21no—
32C59×#455—22no—
33C59×#454C2214yes—
34C59×#454C2212yescomplemented
35C59×#453—21no—
36C59×#453—22no—
37C59×#421—21no—
38C59×#421—21no—
39C2×#104×C59—21no—
40C59×#413C2211yescharacteristic
41C59×#413C2211yescharacteristic
42C59×#413C2211yescharacteristic
43C59×#356C2212yescomplemented
44C59×#356C2214yescomplemented
45C59×#355C2212yescomplemented
46C59×#355C2214yescomplemented
472−1+4×C59—41no—
482−1+4×C59C2312yes—
49H(5,𝔽2)×C59—21no—
50H(5,𝔽2)×C59—21no—
51H(5,𝔽2)×C59—21no—
52H(5,𝔽2)×C59—41no—
53C2×#41×C59—21no—
54C2×#41×C59—21no—
55C2×#41×C59—21no—
56C2×#41×C59—21no—
57C2×#41×C59—42no—
58C2×#41×C59D411yescharacteristic
59C2×#41×C59C2311yescharacteristic
60C22×Q8×C59D411yescharacteristic
61C22×D4×C59D411yescharacteristic
62#137×C59—24no—
63#137×C59—22no—
64#137×C59—41no—
65#137×C59—42no—
66AGL(1,ℤ/8)×C59—24no—
67AGL(1,ℤ/8)×C59—22no—
68AGL(1,ℤ/8)×C59—41no—
69AGL(1,ℤ/8)×C59—42no—
70#135×C59—42no—
71C2×Q16×C59—41no—
72C2×SD16×C59—41no—
73C2×SD16×C59—41no—
74C2×D8×C59—41no—
75C2×M16×C59—21no—
76C2×M16×C59—21no—
77C2×M16×C59—21no—
78C4⋊Q8×C59C2311yescharacteristic
79C4⋊Q8×C59C2312yes—
80#127×C59D411yescharacteristic
81#127×C59D412yes—
82#126×C59—22no—
83#126×C59—22no—
84#126×C59—22no—
85#125×C59—21no—
86#125×C59—22no—
87#124×C59—21no—
88#124×C59—22no—
89#124×C59D411yescharacteristic
90#124×C59D412yes—
91#124×C59C2312yes—
92#124×C59C2311yescharacteristic
93#123×C59—22no—
94#123×C59—22no—
95#123×C59—22no—
96#123×C59—21no—
97#123×C59—21no—
98#123×C59—22no—
99C22⋊Q8×C59—21no—
100C22⋊Q8×C59—22no—
101C22⋊Q8×C59—22no—
102C22⋊Q8×C59—21no—
103C22⋊Q8×C59—21no—
104#121×C59—22no—
105#121×C59—22no—
106#121×C59—21no—
107#121×C59—22no—
108#121×C59—22no—
109#121×C59—21no—
110#121×C59—21no—
111#121×C59—22no—
112#121×C59—22no—
113#121×C59—21no—
114#121×C59—21no—
115#120×C59—22no—
116#120×C59—21no—
117#120×C59—21no—
118C4×Q8×C59—21no—
119C4×D4×C59—22no—
120C4×D4×C59—21no—
121C4×D4×C59—22no—
122C4×D4×C59—21no—
123C4×D4×C59—21no—
124C4×D4×C59—22no—
125#117×C59—22no—
126#117×C59—22no—
127#117×C59D411yescharacteristic
128#117×C59D411yescharacteristic
129C2×C4⋊C4×C59—21no—
130C2×C22⋊C4×C59—22no—
131C2×C42×C59D411yescharacteristic
132#104×C59—22no—
133#104×C59—22no—
134#104×C59—24no—
135#104×C59—24no—
136#101×C59C2312yes—
137#101×C59C2312yes—
138#101×C59C2312yes—
139#100×C59—21no—
140#100×C59—21no—
141#100×C59—21no—
142C24×C59—21no—
143#41×C59—22no—
144#41×C59—22no—
145#41×C59—22no—
146#41×C59—22no—
147#41×C59—22no—
148#41×C59—22no—
149#41×C59—41no—
150#41×C59—41no—
151#41×C59—41no—
152#41×C59—41no—
153#41×C59—41no—
154#41×C59—41no—
155#41×C59—41no—
156#41×C59—42no—
157#41×C59—42no—
158#41×C59—42no—
159#41×C59—42no—
160#41×C59—41no—
161#41×C59—81no—
162#41×C59—81no—
163C2×Q8×C59—21no—
164C2×Q8×C59—21no—
165C2×Q8×C59—21no—
166C2×Q8×C59—21no—
167C2×Q8×C59—41no—
168C2×Q8×C59—41no—
169C2×Q8×C59—42no—
170C2×Q8×C59C2×D411yescharacteristic
171C2×Q8×C59C2×D412yes—
172C2×Q8×C59C2411yescharacteristic
173C2×D4×C59—21no—
174C2×D4×C59—21no—
175C2×D4×C59—21no—
176C2×D4×C59—22no—
177C2×D4×C59—22no—
178C2×D4×C59—21no—
179C2×D4×C59—22no—
180C2×D4×C59—22no—
181C2×D4×C59—21no—
182C2×D4×C59—21no—
183C2×D4×C59—21no—
184C2×D4×C59—41no—
185C2×D4×C59—41no—
186C2×D4×C59—42no—
187C2×D4×C59—42no—
188C2×D4×C59—42no—
189C2×D4×C59—41no—
190C2×D4×C59—41no—
191C2×D4×C59—41no—
192C2×D4×C59C2×D411yescharacteristic
193C2×D4×C59C2×D412yes—
194C2×D4×C59C2×D411yescharacteristic
195C2×D4×C59C2×D411yescharacteristic
196C2×D4×C59C2×D411yescharacteristic
197C22×C4×C59—22no—
198C22×C4×C59—22no—
199C22×C4×C59—22no—
200C22×C4×C59—21no—
201C22×C4×C59—21no—
202C22×C4×C59—21no—
203C22×C4×C59—41no—
204C22×C4×C59—41no—
205C22×C4×C59—41no—
206C22×C4×C59C2×D411yescharacteristic
207C22×C4×C59C2×D411yescharacteristic
208C22×C4×C59C2×D411yescharacteristic
209Q16×C59—44no—
210Q16×C59—42no—
211SD16×C59—44no—
212SD16×C59—42no—
213SD16×C59—44no—
214SD16×C59—42no—
215D8×C59—44no—
216D8×C59—42no—
217M16×C59—22no—
218M16×C59—22no—
219M16×C59—22no—
220M16×C59—41no—
221M16×C59—41no—
222M16×C59—41no—
223C2×C8×C59—41no—
224C2×C8×C59—41no—
225C2×C8×C59—41no—
226C4⋊C4×C59—22no—
227C4⋊C4×C59—22no—
228C4⋊C4×C59—22no—
229C4⋊C4×C59—22no—
230C4⋊C4×C59—22no—
231C4⋊C4×C59—21no—
232C4⋊C4×C59—21no—
233C4⋊C4×C59—22no—
234C4⋊C4×C59—22no—
235C4⋊C4×C59—21no—
236C4⋊C4×C59—21no—
237C22⋊C4×C59—22no—
238C22⋊C4×C59—22no—
239C22⋊C4×C59—22no—
240C22⋊C4×C59—22no—
241C22⋊C4×C59—22no—
242C22⋊C4×C59—21no—
243C22⋊C4×C59—22no—
244C22⋊C4×C59—21no—
245C22⋊C4×C59—21no—
246C22⋊C4×C59—21no—
247C22⋊C4×C59—22no—
248C22⋊C4×C59—21no—
249C22⋊C4×C59—22no—
250C22⋊C4×C59—21no—
251C22⋊C4×C59—22no—
252C42×C59—22no—
253C42×C59—21no—
254C42×C59C2×D411yescharacteristic
255C42×C59C2×D411yescharacteristic
256C42×C59C2×D412yes—
257C42×C59C2×D412yes—
258C23×C59—22no—
259C23×C59—21no—
260C23×C59—41no—
261C23×C59—41no—
262C23×C59—41no—
263C23×C59—81no—
264C23×C59—82no—
265C23×C59#12011yescharacteristic
266C23×C59#12011yescharacteristic
267C23×C59#12011yescharacteristic
268Q8×C59—22no—
269Q8×C59—22no—
270Q8×C59—22no—
271Q8×C59—41no—
272Q8×C59—42no—
273Q8×C59—41no—
274Q8×C59—41no—
275Q8×C59—41no—
276Q8×C59—41no—
277D4×C59—22no—
278D4×C59—22no—
279D4×C59—22no—
280D4×C59—41no—
281D4×C59—41no—
282D4×C59—41no—
283D4×C59—42no—
284D4×C59—41no—
285D4×C59—42no—
286D4×C59—42no—
287D4×C59—42no—
288D4×C59—42no—
289D4×C59—41no—
290D4×C59—41no—
291D4×C59—41no—
292D4×C59—81no—
293D4×C59—82no—
294D4×C59—82no—
295D4×C59—82no—
296D4×C59—81no—
297D4×C59—81no—
298D4×C59—82no—
299C2×C4×C59—21no—
300C2×C4×C59—21no—
301C2×C4×C59—21no—
302C2×C4×C59—21no—
303C2×C4×C59—21no—
304C2×C4×C59—21no—
305C2×C4×C59—21no—
306C2×C4×C59—22no—
307C2×C4×C59—21no—
308C2×C4×C59—22no—
309C2×C4×C59—22no—
310C2×C4×C59—21no—
311C2×C4×C59—42no—
312C2×C4×C59—42no—
313C2×C4×C59—42no—
314C2×C4×C59—41no—
315C2×C4×C59—41no—
316C2×C4×C59—41no—
317C2×C4×C59—41no—
318C2×C4×C59—41no—
319C2×C4×C59—42no—
320C2×C4×C59—81no—
321C2×C4×C59—82no—
322C2×C4×C59—81no—
323C2×C4×C59—82no—
324C2×C4×C59—82no—
325C2×C4×C59#12011yescharacteristic
326C2×C4×C59C22×D411yescharacteristic
327C2×C4×C59C22×D411yescharacteristic
328C2×C4×C59C22×D411yescharacteristic
329C8×C59—42no—
330C8×C59—42no—
331C8×C59—42no—
332#33572C5911yesmaximal, characteristic, direct product factor, Sylow
333C22×C59—21no—
334C22×C59—21no—
335C22×C59—21no—
336C22×C59—41no—
337C22×C59—41no—
338C22×C59—41no—
339C22×C59—41no—
340C22×C59—42no—
341C22×C59—41no—
342C22×C59—42no—
343C22×C59—42no—
344C22×C59—41no—
345C22×C59—42no—
346C22×C59—161no—
347C22×C59—161no—
348C22×C59—161no—
349C22×C59—162no—
350C22×C59C2×#12011yescharacteristic
351C4×C59—21no—
352C4×C59—21no—
353C4×C59—21no—
354C4×C59—41no—
355C4×C59—42no—
356C4×C59—42no—
357C4×C59—41no—
358C4×C59—41no—
359C4×C59—42no—
360C4×C59—42no—
361C4×C59B(4,𝔽2)11yescharacteristic
362C4×C59B(4,𝔽2)11yescharacteristic
363#3551C2×C5911yescharacteristic, complemented
364#3022C2×C5911yescharacteristic, complemented
365#3021C2×C5911yescharacteristic, complemented
366#3018C2×C5911yescharacteristic, complemented
367#2204C2×C5914yescomplemented
368#2203C2×C5914yescomplemented
369#2135C2×C5911yescharacteristic, complemented
370#2134C2×C5911yescharacteristic, complemented
371#2132C2×C5911yescharacteristic, complemented
372C2×C59—21no—
373C2×C59—41no—
374C2×C59—41no—
375C2×C59—41no—
376C2×C59—81no—
377C2×C59—82no—
378C2×C59—82no—
379C2×C59C2×B(4,𝔽2)11yescharacteristic
380#585C22×C5911yescharacteristic
381#575—21no—
382C2×#137—21no—
383C2×AGL(1,ℤ/8)—21no—
384#563C22×C5912yescomplemented
385#560—21no—
386#555C22×C5912yescomplemented
387#553—21no—
388#552—21no—
389#551—21no—
390#548—21no—
391#546—21no—
392#540—22no—
393#538—22no—
394#537—21no—
395#536C22×C5911yescharacteristic
396#535C22×C5911yescharacteristic
397#532C22×C5911yescharacteristic
398#529—21no—
399#456C22×C5912yescomplemented
400#456C22×C5914yescomplemented
401#455—21no—
402#455—22no—
403#454C22×C5914yes—
404#454C22×C5912yescomplemented
405#453—21no—
406#453—22no—
407#421—21no—
408#421—21no—
409C2×#104—21no—
410#413C22×C5911yescharacteristic
411#413C22×C5911yescharacteristic
412#413C22×C5911yescharacteristic
413#356C22×C5912yescomplemented
414#356C22×C5914yescomplemented
415#355C22×C5912yescomplemented
416#355C22×C5914yescomplemented
417C59#3357211yescharacteristic, direct product factor, Sylow
4182−1+4—41no—
4192−1+4C23×C5912yes—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—21no—
423H(5,𝔽2)—41no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—42no—
429C2×#41D4×C5911yescharacteristic
430C2×#41C23×C5911yescharacteristic
431C22×Q8D4×C5911yescharacteristic
432C22×D4D4×C5911yescharacteristic
433#137—24no—
434#137—22no—
435#137—41no—
436#137—42no—
437AGL(1,ℤ/8)—24no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440AGL(1,ℤ/8)—42no—
441#135—42no—
442C2×Q16—41no—
443C2×SD16—41no—
444C2×SD16—41no—
445C2×D8—41no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C4⋊Q8C23×C5911yescharacteristic
450C4⋊Q8C23×C5912yes—
451#127D4×C5911yescharacteristic
452#127D4×C5912yes—
453#126—22no—
454#126—22no—
455#126—22no—
456#125—21no—
457#125—22no—
458#124—21no—
459#124—22no—
460#124D4×C5911yescharacteristic
461#124D4×C5912yes—
462#124C23×C5911yescharacteristic
463#124C23×C5912yes—
464#123—22no—
465#123—22no—
466#123—22no—
467#123—21no—
468#123—21no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475#121—22no—
476#121—22no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—22no—
484#121—21no—
485#121—21no—
486#120—22no—
487#120—21no—
488#120—21no—
489C4×Q8—21no—
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—22no—
496#117—22no—
497#117—22no—
498#117D4×C5911yescharacteristic
499#117D4×C5911yescharacteristic
500C2×C4⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C42D4×C5911yescharacteristic
503#104—22no—
504#104—22no—
505#104—24no—
506#104—24no—
507#101C23×C5912yes—
508#101C23×C5912yes—
509#101C23×C5912yes—
510#100—21no—
511#100—21no—
512#100—21no—
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C5911yescharacteristic
542C2×Q8C2×D4×C5912yes—
543C2×Q8C24×C5911yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C5911yescharacteristic
564C2×D4C2×D4×C5912yes—
565C2×D4C2×D4×C5911yescharacteristic
566C2×D4C2×D4×C5911yescharacteristic
567C2×D4C2×D4×C5911yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C5911yescharacteristic
578C22×C4C2×D4×C5911yescharacteristic
579C22×C4C2×D4×C5911yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C5911yescharacteristic
626C42C2×D4×C5911yescharacteristic
627C42C2×D4×C5912yes—
628C42C2×D4×C5912yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23#120×C5911yescharacteristic
637C23#120×C5911yescharacteristic
638C23#120×C5911yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—81no—
668D4—81no—
669D4—82no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—81no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4#120×C5911yescharacteristic
697C2×C4C22×D4×C5911yescharacteristic
698C2×C4C22×D4×C5911yescharacteristic
699C2×C4C22×D4×C5911yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×#120×C5911yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C59×B(4,𝔽2)11yescharacteristic
732C4C59×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C59×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C59C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C59
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C59 ◁ C2×C4×C59 ◁ C2×#41×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3551C2semidirect
2. C59×#3022C2semidirect
3. C59×#3021C2semidirect
4. C59×#3018C2semidirect
5. C59×#2204C2semidirect
6. C59×#2203C2semidirect
7. C59×#2135C2semidirect
8. C59×#2134C2semidirect
9. C59×#2132C2semidirect
14. C59×#563C22semidirect
16. C59×#555C22semidirect
29. C59×#456C22semidirect
30. C59×#456C22semidirect
34. C59×#454C22semidirect
43. C59×#356C22semidirect
44. C59×#356C22semidirect
45. C59×#355C22semidirect
46. C59×#355C22semidirect
332. #33572C59direct (N × H)
363. #3551C2×C59semidirect
364. #3022C2×C59semidirect
365. #3021C2×C59semidirect
366. #3018C2×C59semidirect
367. #2204C2×C59semidirect
368. #2203C2×C59semidirect
369. #2135C2×C59semidirect
370. #2134C2×C59semidirect
371. #2132C2×C59semidirect
384. #563C22×C59semidirect
386. #555C22×C59semidirect
399. #456C22×C59semidirect
400. #456C22×C59semidirect
404. #454C22×C59semidirect
413. #356C22×C59semidirect
414. #356C22×C59semidirect
415. #355C22×C59semidirect
416. #355C22×C59semidirect
417. C59#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35512
C59×#30222
C59×#30212
C59×#30182
C59×#22042
C59×#22032
C59×#21352
C59×#21342
C59×#21322
#3357259