Finite Group Databasebeta

← #29473527

Subgroups — #29473527

Order 15104.

2234 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437899C211yesmaximal, characteristic, complemented
2#21436177C218yesmaximal, complemented
3#21435602C218yesmaximal, complemented
4#21435099C212yesmaximal, complemented
5#21434902C212yesmaximal, complemented
6#21434868C212yesmaximal, complemented
7#21434195C212yesmaximal, complemented
8#21433356C212yesmaximal, complemented
9C2×#16837553C212yesmaximal, complemented
10#21433125C211yesmaximal, characteristic, complemented
11C2×C59×#546C211yesmaximal, characteristic
12C2×#14273757C2214yescomplemented
13C22×#11745670C2214yescomplemented
14#16838111—24no—
15#16838109C2214yescomplemented
16D4×Dic118C2214yescomplemented
17#16838033—21no—
18#16838028—21no—
19#16838028—21no—
20#16837959C2212yescomplemented
21C2×#14273706C2212yes—
22C2×#14273706C2212yescomplemented
23#16837877—21no—
24#16837797C2214yescomplemented
25#16837761C2214yescomplemented
26#16837737C2214yescomplemented
27#16837735C2214yescomplemented
28#16837713C2214yescomplemented
29#16837682C2214yescomplemented
30#16837646C2218yescomplemented
31#16837641C2218yescomplemented
32#16837621C2218yescomplemented
33#16837607C2214yescomplemented
34#16837564C2218yescomplemented
35#16837558C2214yescomplemented
36#16837557C2214yescomplemented
37#16837553C2214yes—
38#16837553C2214yes—
39#16837553C2218yescomplemented
40#16837540C2214yescomplemented
41#16837502C2218yescomplemented
42#16837474C2218yescomplemented
43#16837459C2212yescomplemented
44#16837403C2214yescomplemented
45C2×#14273648C2214yescomplemented
46#16837366C2212yescomplemented
47C2×C22⋊(C59⋊C8)C2212yes—
48C22×#41×C59C2211yescharacteristic
49C23×D4×C59C2211yescharacteristic
50C59×#546—24no—
51C59×#546C2218yes—
52C2×#124×C59C2211yescharacteristic
53C2×#123×C59—21no—
54C2×C22⋊Q8×C59C2211yescharacteristic
55C2×#121×C59—21no—
56C2×#121×C59C2211yescharacteristic
57C2×#120×C59—21no—
58C2×C4×D4×C59C2211yescharacteristic
59C2×C4×D4×C59C2211yescharacteristic
60C22×C22⋊C4×C59—21no—
61C22×Dic118C2312yes—
62C22×Dic118C2312yescomplemented
63#14273757—48no—
64C2×#11745672C2318yescomplemented
65C2×#11745670—48no—
66C2×#11745670C2318yes—
67C2×#11745670C2318yes—
68C2×#11745664C2314yescomplemented
69C22×C59⋊C8C2314yes—
70#14273727C2312yescomplemented
71#14273727C2312yescomplemented
72#14273726—24no—
73#14273719—22no—
74#14273718—24no—
75#14273706—22no—
76#14273706—22no—
77#14273706—22no—
78#14273706—22no—
79#14273706—22no—
80#14273706C2314yes—
81#14273706C2314yes—
82#14273706C2314yescomplemented
83#14273704—24no—
84#14273704—24no—
85#14273704—24no—
86#14273704—24no—
87C4×Dic118—22no—
88C4×Dic118C2314yescomplemented
89D4×Dic59—24no—
90D4×Dic59—24no—
91#14273686—22no—
92C2×C4⋊Dic59C2312yes—
93C2×C4⋊Dic59C2312yescomplemented
94C2×Dic59⋊C4—22no—
95C2×Dic59⋊C4—22no—
96C2×C22⋊Dic59—22no—
97C2×C22⋊Dic59—22no—
98#14273660C2318yescomplemented
99C4⋊(C59⋊C8)C2314yescomplemented
100#14273651C2318yescomplemented
101#14273650C2318yescomplemented
102#14273648C2318yes—
103#14273648C2318yes—
104C22⋊(C59⋊C8)C2314yes—
105C22⋊(C59⋊C8)C2314yes—
106C22⋊(C59⋊C8)C2314yescomplemented
107#14273638C2314yescomplemented
108C25×C59—21no—
109C2×#41×C59—22no—
110C2×#41×C59—44no—
111C2×#41×C59C2314yes—
112C22×Q8×C59C2311yescharacteristic
113C22×D4×C59—21no—
114C22×D4×C59—21no—
115C22×D4×C59—21no—
116C22×D4×C59—22no—
117C22×D4×C59—44no—
118C22×D4×C59D411yescharacteristic
119C22×D4×C59C2311yescharacteristic
120C22×D4×C59C2314yes—
121C22×D4×C59C2311yescharacteristic
122C23×C4×C59—21no—
123C23×C4×C59—21no—
124C23×C4×C59C2311yescharacteristic
125C23×C4×C59C2311yescharacteristic
126#124×C59—22no—
127#124×C59C2314yes—
128#123×C59—28no—
129C22⋊Q8×C59—22no—
130C22⋊Q8×C59C2314yes—
131#121×C59—22no—
132#121×C59—28no—
133#121×C59C2314yes—
134#120×C59—28no—
135C4×D4×C59—22no—
136C4×D4×C59D414yes—
137C4×D4×C59C2314yes—
138C4×D4×C59C2314yes—
139C2×C4⋊C4×C59—21no—
140C2×C4⋊C4×C59D411yescharacteristic
141C2×C4⋊C4×C59C2311yescharacteristic
142C2×C22⋊C4×C59—21no—
143C2×C22⋊C4×C59—21no—
144C2×C22⋊C4×C59—21no—
145C2×C22⋊C4×C59—21no—
146C2×C22⋊C4×C59—21no—
147C2×C22⋊C4×C59—28no—
148C2×C22⋊C4×C59D411yescharacteristic
149C2×C22⋊C4×C59D411yescharacteristic
150C2×C42×C59C2311yescharacteristic
151C24×C59—21no—
152C24×C59—21no—
153C24×C59—24no—
154C24×C59—44no—
155C24×C59—44no—
156C24×C59—82no—
157C24×C59C2×D411yescharacteristic
158C24×C59C2×D411yescharacteristic
159#41×C59—28no—
160#41×C59—44no—
161#41×C59—48no—
162C2×Q8×C59—21no—
163C2×Q8×C59—42no—
164C2×Q8×C59C2412yes—
165C2×D4×C59—24no—
166C2×D4×C59—24no—
167C2×D4×C59—28no—
168C2×D4×C59—24no—
169C2×D4×C59—24no—
170C2×D4×C59—21no—
171C2×D4×C59—24no—
172C2×D4×C59—21no—
173C2×D4×C59—44no—
174C2×D4×C59—42no—
175C2×D4×C59—48no—
176C2×D4×C59—44no—
177C2×D4×C59—44no—
178C2×D4×C59—82no—
179C2×D4×C59C2×D414yes—
180C2×D4×C59C2412yes—
181C2×D4×C59C2412yes—
182C22×C4×C59—21no—
183C22×C4×C59—21no—
184C22×C4×C59—24no—
185C22×C4×C59—24no—
186C22×C4×C59—42no—
187C22×C4×C59—42no—
188C22×C4×C59—44no—
189C22×C4×C59—82no—
190C22×C4×C59C2×D411yescharacteristic
191C22×C4×C59C2×D411yescharacteristic
192C22×C4×C59C2×D411yescharacteristic
193C22×C4×C59C2×D411yescharacteristic
194C22×C4×C59C2×D412yes—
195C22×C4×C59C2×D412yes—
196C22×C4×C59C2411yescharacteristic
197C22×C4×C59C2412yes—
198C22×C4×C59C2412yes—
199C22×Dic59—22no—
200C22×Dic59—22no—
201C22×Dic59—22no—
202C22×Dic59—22no—
203C2×Dic118—22no—
204C2×Dic118—22no—
205C2×Dic118—22no—
206C2×Dic118—44no—
207C2×Dic118—44no—
208C2×Dic118C2414yes—
209C4⋊C4×C59—24no—
210C4⋊C4×C59—21no—
211C4⋊C4×C59C2×D414yes—
212C4⋊C4×C59C2412yes—
213C22⋊C4×C59—24no—
214C22⋊C4×C59—24no—
215C22⋊C4×C59—24no—
216C22⋊C4×C59—24no—
217C22⋊C4×C59—24no—
218C22⋊C4×C59C2×D414yes—
219C22⋊C4×C59C2×D414yes—
220C42×C59C2×D412yes—
221C42×C59C2412yes—
222C22⋊Dic59—24no—
223C22⋊Dic59—24no—
224C22⋊Dic59—24no—
225#11745672—48no—
226#11745670—216no—
227#11745670—48no—
228C4⋊Dic59—22no—
229C4⋊Dic59—22no—
230C4⋊Dic59—22no—
231C4⋊Dic59—22no—
232C4⋊Dic59—22no—
233C4⋊Dic59C2414yes—
234Dic59⋊C4—24no—
235Dic59⋊C4—24no—
236Dic59⋊C4—24no—
237Dic59⋊C4—24no—
238C4×Dic59—24no—
239#11745664—44no—
240C2×C59⋊C8—44no—
241C2×C59⋊C8C2418yes—
242C23×C59—24no—
243C23×C59—22no—
244C23×C59—22no—
245C23×C59—22no—
246C23×C59—41no—
247C23×C59—41no—
248C23×C59—41no—
249C23×C59—41no—
250C23×C59—48no—
251C23×C59—42no—
252C23×C59—42no—
253C23×C59—42no—
254C23×C59—42no—
255C23×C59—48no—
256C23×C59—42no—
257C23×C59—84no—
258C23×C59—816no—
259C23×C59#13714yescomplemented
260C23×C59C22×D412yes—
261C23×C59C22×D411yescharacteristic
262C23×C59C22×D412yes—
263Q8×C59—24no—
264Q8×C59—42no—
265D4×C59—24no—
266D4×C59—28no—
267D4×C59—22no—
268D4×C59—24no—
269D4×C59—48no—
270D4×C59—42no—
271D4×C59—48no—
272D4×C59—84no—
273D4×C59H(5,𝔽2)14yes—
274C2×C4×C59—22no—
275C2×C4×C59—24no—
276C2×C4×C59—24no—
277C2×C4×C59—22no—
278C2×C4×C59—22no—
279C2×C4×C59—22no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59—42no—
283C2×C4×C59—42no—
284C2×C4×C59—41no—
285C2×C4×C59—48no—
286C2×C4×C59—42no—
287C2×C4×C59—42no—
288C2×C4×C59—84no—
289C2×C4×C59C22×D412yes—
290C2×C4×C59C22×D411yescharacteristic
291C2×C4×C59C22×D412yes—
292C2×C4×C59C22×D412yes—
293C2×C4×C59C22×D412yes—
294C2×C4×C59C2511yescharacteristic
295C2×Dic59—24no—
296C2×Dic59—24no—
297C2×Dic59—82no—
298C2×Dic59—82no—
299C2×Dic59—82no—
300C2×Dic59—82no—
301Dic118—28no—
302Dic118—82no—
303Dic118—82no—
304Dic118—82no—
305C59⋊C8—28no—
306#61570—591nomaximal, Sylow
307C22×C59—22no—
308C22×C59—21no—
309C22×C59—22no—
310C22×C59—21no—
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—24no—
314C22×C59—22no—
315C22×C59—44no—
316C22×C59—48no—
317C22×C59—42no—
318C22×C59—42no—
319C22×C59—42no—
320C22×C59—42no—
321C22×C59—42no—
322C22×C59—82no—
323C22×C59—816no—
324C22×C59—84no—
325C22×C59C2×#13712yes—
326C22×C59C2×#13714yes—
327C22×C59C23×D411yescharacteristic
328C4×C59—22no—
329C4×C59—22no—
330C4×C59—22no—
331C4×C59—21no—
332C4×C59—22no—
333C4×C59—42no—
334C4×C59—42no—
335C4×C59C2×H(5,𝔽2)12yes—
336Dic59—44no—
337Dic59—44no—
338#3501—591no—
339C2×#546D5911yescharacteristic
340#3314—598no—
341#3266—598no—
342#3215—592no—
343#3193—592no—
344#3189—592no—
345#3110—592no—
346#3007—592no—
347C2×#450—592no—
348#2973—591no—
349C2×C59—22no—
350C2×C59—24no—
351C2×C59—42no—
352C2×C59—44no—
353C2×C59—82no—
354C2×C59#348411yescharacteristic
355C2×C59C22×#13711yescharacteristic
356C2×C59#358511yescharacteristic
357C22×#41C2×D5911yescharacteristic
358C23×D4C2×D5911yescharacteristic
359C2×#137—594no—
360C22×SD16—594no—
361#554—594no—
362#554—1184no—
363D4×Q8—594no—
364#546—24no—
365#546C2×D5918yes—
366#544—1181no—
367#543—1181no—
368#543—1181no—
369#533—592no—
370C2×#124C2×D5911yescharacteristic
371C2×#123—21no—
372C2×C22⋊Q8—592no—
373C2×C22⋊Q8—592no—
374C2×C22⋊Q8C2×D5911yescharacteristic
375C2×#121—21no—
376C2×#121C2×D5911yescharacteristic
377C2×#120—21no—
378#518—1181no—
379C2×C4×D4C2×D5911yescharacteristic
380C2×C4×D4C2×D5911yescharacteristic
381C22×C22⋊C4—21no—
382#497—594no—
383#489—594no—
384#484—594no—
385#484—594no—
386#480—594no—
387#474—594no—
388#468—598no—
389#467—598no—
390#464—598no—
391#461—594no—
392#452—598no—
393#451—594no—
394#451—594no—
395#450—594no—
396#450—594no—
397#450—598no—
398#448—594no—
399#440—598no—
400#435—598no—
401#432—592no—
402#417—594no—
403C2×#102—594no—
404#407—592no—
405C2×C22⋊C8—592no—
406C59#6157011yescharacteristic, complemented, Sylow
407C25—21no—
408C2×#41—22no—
409C2×#41—44no—
410C2×#41C22×D5914yes—
411C22×Q8—592no—
412C22×Q8—592no—
413C22×Q8C22×D5911yescharacteristic
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—21no—
417C22×D4—22no—
418C22×D4—44no—
419C22×D4C22⋊D5911yescharacteristic
420C22×D4C22×D5911yescharacteristic
421C22×D4C22×D5914yes—
422C22×D4C22×D5911yescharacteristic
423C23×C4—21no—
424C23×C4—21no—
425C23×C4C22×D5911yescharacteristic
426C23×C4C22×D5911yescharacteristic
427#137—2368no—
428C2×Q16—598no—
429C2×SD16—598no—
430C2×SD16—598no—
431C2×SD16—2368no—
432C2×M16—594no—
433C22×C8—594no—
434C4⋊Q8—592no—
435C4⋊Q8—592no—
436C4⋊Q8—1184no—
437#125—1184no—
438#125—1182no—
439#124—22no—
440#124C22×D5914yes—
441#123—28no—
442C22⋊Q8—22no—
443C22⋊Q8—594no—
444C22⋊Q8—594no—
445C22⋊Q8—594no—
446C22⋊Q8—1182no—
447C22⋊Q8—1182no—
448C22⋊Q8—1182no—
449C22⋊Q8—1182no—
450C22⋊Q8—1182no—
451C22⋊Q8—1184no—
452C22⋊Q8—1184no—
453C22⋊Q8—1184no—
454C22⋊Q8—1184no—
455C22⋊Q8C22×D5914yes—
456#121—22no—
457#121—28no—
458#121C22×D5914yes—
459#120—28no—
460C4×Q8—594no—
461C4×Q8—1182no—
462C4×D4—22no—
463C4×D4—1184no—
464C4×D4—1184no—
465C4×D4C22⋊D5914yes—
466C4×D4C22×D5914yes—
467C4×D4C22×D5914yes—
468#117—1182no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—592no—
471C2×C4⋊C4—592no—
472C2×C4⋊C4—1182no—
473C2×C4⋊C4—1182no—
474C2×C4⋊C4C22⋊D5911yescharacteristic
475C2×C4⋊C4C22×D5911yescharacteristic
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—28no—
482C2×C22⋊C4—1182no—
483C2×C22⋊C4—1182no—
484C2×C22⋊C4C22⋊D5911yescharacteristic
485C2×C22⋊C4C22⋊D5911yescharacteristic
486C2×C42C22×D5911yescharacteristic
487#107—598no—
488C4⋊C8—594no—
489#103—598no—
490#103—598no—
491#102—598no—
492#102—598no—
493C22⋊C8—594no—
494C22⋊C8—594no—
495C22⋊C8—594no—
496#97—594no—
497C24—21no—
498C24—21no—
499C24—24no—
500C24—44no—
501C24—44no—
502C24—82no—
503C24C2×C22⋊D5911yescharacteristic
504C24C2×C22⋊D5911yescharacteristic
505#41—28no—
506#41—44no—
507#41—48no—
508C2×Q8—21no—
509C2×Q8—42no—
510C2×Q8—594no—
511C2×Q8—1182no—
512C2×Q8—1182no—
513C2×Q8—1182no—
514C2×Q8—2364no—
515C2×Q8—2364no—
516C2×Q8C23×D5912yes—
517C2×D4—24no—
518C2×D4—24no—
519C2×D4—28no—
520C2×D4—24no—
521C2×D4—24no—
522C2×D4—21no—
523C2×D4—24no—
524C2×D4—21no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—48no—
528C2×D4—44no—
529C2×D4—44no—
530C2×D4—82no—
531C2×D4C2×C22⋊D5914yes—
532C2×D4C23×D5912yes—
533C2×D4C23×D5912yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—24no—
537C22×C4—24no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—44no—
541C22×C4—82no—
542C22×C4—1182no—
543C22×C4—1182no—
544C22×C4—1182no—
545C22×C4—1182no—
546C22×C4C2×C22⋊D5911yescharacteristic
547C22×C4C2×C22⋊D5911yescharacteristic
548C22×C4C2×C22⋊D5911yescharacteristic
549C22×C4C2×C22⋊D5911yescharacteristic
550C22×C4C2×C22⋊D5912yes—
551C22×C4C2×C22⋊D5912yes—
552C22×C4C23×D5911yescharacteristic
553C22×C4C23×D5912yes—
554C22×C4C23×D5912yes—
555Q16—2368no—
556SD16—11816no—
557SD16—2368no—
558M16—2364no—
559C2×C8—598no—
560C2×C8—2364no—
561C4⋊C4—24no—
562C4⋊C4—21no—
563C4⋊C4—594no—
564C4⋊C4—1182no—
565C4⋊C4—1182no—
566C4⋊C4—1184no—
567C4⋊C4—1184no—
568C4⋊C4—1184no—
569C4⋊C4—1182no—
570C4⋊C4—1182no—
571C4⋊C4—1184no—
572C4⋊C4—1182no—
573C4⋊C4C2×C22⋊D5914yes—
574C4⋊C4C23×D5912yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—1184no—
581C22⋊C4—1184no—
582C22⋊C4—1184no—
583C22⋊C4C2×C22⋊D5914yes—
584C22⋊C4C2×C22⋊D5914yes—
585C42—1184no—
586C42C2×C22⋊D5912yes—
587C42C23×D5912yes—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—48no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—48no—
602C23—42no—
603C23—84no—
604C23—816no—
605C23#1427375714yescomplemented
606C23C22×C22⋊D5912yes—
607C23C22×C22⋊D5912yes—
608C23C22×C22⋊D5911yescharacteristic
609Q8—24no—
610Q8—42no—
611Q8—1188no—
612Q8—4722no—
613Q8—4722no—
614Q8—4722no—
615D4—24no—
616D4—28no—
617D4—22no—
618D4—24no—
619D4—48no—
620D4—42no—
621D4—48no—
622D4—84no—
623D4#1427377214yes—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—84no—
639C2×C4—1184no—
640C2×C4—1184no—
641C2×C4—4722no—
642C2×C4—4722no—
643C2×C4—4722no—
644C2×C4—4722no—
645C2×C4C22×C22⋊D5912yes—
646C2×C4C22×C22⋊D5911yescharacteristic
647C2×C4C22×C22⋊D5912yes—
648C2×C4C22×C22⋊D5912yes—
649C2×C4C22×C22⋊D5912yes—
650C2×C4C24×D5911yescharacteristic
651C8—1188no—
652C22—21no—
653C22—22no—
654C22—21no—
655C22—22no—
656C22—22no—
657C22—24no—
658C22—22no—
659C22—22no—
660C22—44no—
661C22—48no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—82no—
668C22—816no—
669C22—84no—
670C22C2×#1427375712yes—
671C22C2×#1427375714yes—
672C22C23×C22⋊D5911yescharacteristic
673C4—22no—
674C4—21no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—2364no—
681C4—2364no—
682C4C2×#1427377212yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—44no—
687C2—82no—
688C2#2143773111yescharacteristic
689C2C22×#1427375711yescharacteristic
690C2#2143887611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
Fitting, prime radicalC2×C59×#546C2
socleC22×C59C23×D4
hypercenterC2×#546D59
hypocenterC59#61570
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #21437899C2semidirect
2. #21436177C2semidirect
3. #21435602C2semidirect
4. #21435099C2semidirect
5. #21434902C2semidirect
6. #21434868C2semidirect
7. #21434195C2semidirect
8. #21433356C2semidirect
9. C2×#16837553C2semidirect
10. #21433125C2semidirect
12. C2×#14273757C22semidirect
13. C22×#11745670C22semidirect
15. #16838109C22semidirect
16. D4×Dic118C22semidirect
20. #16837959C22semidirect
22. C2×#14273706C22semidirect
24. #16837797C22semidirect
25. #16837761C22semidirect
26. #16837737C22semidirect
27. #16837735C22semidirect
28. #16837713C22semidirect
29. #16837682C22semidirect
30. #16837646C22semidirect
31. #16837641C22semidirect
32. #16837621C22semidirect
33. #16837607C22semidirect
34. #16837564C22semidirect
35. #16837558C22semidirect
36. #16837557C22semidirect
39. #16837553C22semidirect
40. #16837540C22semidirect
41. #16837502C22semidirect
42. #16837474C22semidirect
43. #16837459C22semidirect
44. #16837403C22semidirect
45. C2×#14273648C22semidirect
46. #16837366C22semidirect
62. C22×Dic118C23semidirect
64. C2×#11745672C23semidirect
68. C2×#11745664C23semidirect
70. #14273727C23semidirect
71. #14273727C23semidirect
82. #14273706C23semidirect
88. C4×Dic118C23semidirect
93. C2×C4⋊Dic59C23semidirect
98. #14273660C23semidirect
99. C4⋊(C59⋊C8)C23semidirect
100. #14273651C23semidirect
101. #14273650C23semidirect
106. C22⋊(C59⋊C8)C23semidirect
107. #14273638C23semidirect
259. C23×C59#137semidirect
406. C59#61570semidirect
605. C23#14273757semidirect

Maximal subgroups

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

subgroupindex
#214378992
#214361772
#214356022
#214350992
#214349022
#214348682
#214341952
#214333562
C2×#168375532
#214331252
C2×C59×#5462
#6157059