Finite Group Databasebeta

← #17919162

Subgroups — #17919162

Order 4352.

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#14542587C211yesmaximal, characteristic, complemented
2#14540865C218yesmaximal, complemented
3#14540290C218yesmaximal, complemented
4#14539787C212yesmaximal, complemented
5#14539590C212yesmaximal, complemented
6#14539556C212yesmaximal, complemented
7#14538883C212yesmaximal, complemented
8#14538044C212yesmaximal, complemented
9C2×#11762960C212yesmaximal, complemented
10#14537813C211yesmaximal, characteristic, complemented
11C2×C17×#546C211yesmaximal, characteristic
12C2×#10587637C2214yescomplemented
13C22×#63229C2214yescomplemented
14#11763518—24no—
15#11763516C2214yescomplemented
16D4×Dic34C2214yescomplemented
17#11763440—21no—
18#11763435—21no—
19#11763435—21no—
20#11763366C2212yescomplemented
21C2×#10587610C2212yes—
22C2×#10587610C2212yescomplemented
23#11763284—21no—
24#11763204C2214yescomplemented
25#11763168C2214yescomplemented
26#11763144C2214yescomplemented
27#11763142C2214yescomplemented
28#11763120C2214yescomplemented
29#11763089C2214yescomplemented
30#11763053C2218yescomplemented
31#11763048C2218yescomplemented
32#11763028C2218yescomplemented
33#11763014C2214yescomplemented
34#11762971C2218yescomplemented
35#11762965C2214yescomplemented
36#11762964C2214yescomplemented
37#11762960C2214yes—
38#11762960C2214yes—
39#11762960C2218yescomplemented
40#11762947C2214yescomplemented
41#11762909C2218yescomplemented
42#11762881C2218yescomplemented
43#11762866C2212yescomplemented
44#11762810C2214yescomplemented
45C2×#10587503C2214yescomplemented
46#11762773C2212yescomplemented
47C2×C22⋊#3622C2212yes—
48C22×#41×C17C2211yescharacteristic
49C23×D4×C17C2211yescharacteristic
50C17×#546—24no—
51C17×#546C2218yes—
52C2×C17×#124C2211yescharacteristic
53C2×C17×#123—21no—
54C2×C17×C22⋊Q8C2211yescharacteristic
55C2×C17×#121—21no—
56C2×C17×#121C2211yescharacteristic
57C2×C17×#120—21no—
58C2×C4×D4×C17C2211yescharacteristic
59C2×C4×D4×C17C2211yescharacteristic
60C22×C22⋊C4×C17—21no—
61C25×C17—21no—
62C2×#41×C17—22no—
63C2×#41×C17—44no—
64C2×#41×C17C2314yes—
65C22×Q8×C17C2311yescharacteristic
66C22×D4×C17—21no—
67C22×D4×C17—21no—
68C22×D4×C17—21no—
69C22×D4×C17—22no—
70C22×D4×C17—44no—
71C22×D4×C17D411yescharacteristic
72C22×D4×C17C2311yescharacteristic
73C22×D4×C17C2314yes—
74C22×D4×C17C2311yescharacteristic
75C23×C4×C17—21no—
76C23×C4×C17—21no—
77C23×C4×C17C2311yescharacteristic
78C23×C4×C17C2311yescharacteristic
79C22×Dic34C2312yes—
80C22×Dic34C2312yescomplemented
81C17×#124—22no—
82C17×#124C2314yes—
83C17×#123—28no—
84C17×C22⋊Q8—22no—
85C17×C22⋊Q8C2314yes—
86C17×#121—22no—
87C17×#121—28no—
88C17×#121C2314yes—
89C17×#120—28no—
90C4×D4×C17—22no—
91C4×D4×C17D414yes—
92C4×D4×C17C2314yes—
93C4×D4×C17C2314yes—
94C2×C4⋊C4×C17—21no—
95C2×C4⋊C4×C17D411yescharacteristic
96C2×C4⋊C4×C17C2311yescharacteristic
97C2×C22⋊C4×C17—21no—
98C2×C22⋊C4×C17—21no—
99C2×C22⋊C4×C17—21no—
100C2×C22⋊C4×C17—21no—
101C2×C22⋊C4×C17—21no—
102C2×C22⋊C4×C17—28no—
103C2×C22⋊C4×C17D411yescharacteristic
104C2×C22⋊C4×C17D411yescharacteristic
105C2×C42×C17C2311yescharacteristic
106C2×C22⋊Dic17—22no—
107C2×C22⋊Dic17—22no—
108#10587637—48no—
109C2×#63231C2318yescomplemented
110D4×Dic17—24no—
111D4×Dic17—24no—
112C2×#63229—48no—
113C2×#63229C2318yes—
114C2×#63229C2318yes—
115#10587612—22no—
116C2×C4⋊Dic17C2312yes—
117C2×C4⋊Dic17C2312yescomplemented
118#10587610—22no—
119#10587610—22no—
120#10587610—22no—
121#10587610—22no—
122#10587610—22no—
123#10587610C2314yes—
124#10587610C2314yes—
125#10587610C2314yescomplemented
126C2×#63225—22no—
127C2×#63225—22no—
128C2×#63223C2314yescomplemented
129C22×#3622C2314yes—
130#10587576—24no—
131#10587574—24no—
132#10587564—24no—
133#10587564—24no—
134#10587564—24no—
135#10587564—24no—
136#10587556—22no—
137#10587555C2312yescomplemented
138#10587555C2312yescomplemented
139C4×Dic34—22no—
140C4×Dic34C2314yescomplemented
141#10587506C2318yescomplemented
142#10587503C2318yes—
143#10587503C2318yes—
144C22⋊#3622C2314yes—
145C22⋊#3622C2314yes—
146C22⋊#3622C2314yescomplemented
147#10587481C2318yescomplemented
148#10587478C2318yescomplemented
149C4⋊#3622C2314yescomplemented
150#10587474C2314yescomplemented
151C24×C17—21no—
152C24×C17—21no—
153C24×C17—24no—
154C24×C17—44no—
155C24×C17—44no—
156C24×C17—82no—
157C24×C17C2×D411yescharacteristic
158C24×C17C2×D411yescharacteristic
159#41×C17—28no—
160#41×C17—44no—
161#41×C17—48no—
162C2×Q8×C17—21no—
163C2×Q8×C17—42no—
164C2×Q8×C17C2412yes—
165C2×D4×C17—24no—
166C2×D4×C17—24no—
167C2×D4×C17—28no—
168C2×D4×C17—24no—
169C2×D4×C17—24no—
170C2×D4×C17—21no—
171C2×D4×C17—24no—
172C2×D4×C17—21no—
173C2×D4×C17—44no—
174C2×D4×C17—42no—
175C2×D4×C17—48no—
176C2×D4×C17—44no—
177C2×D4×C17—44no—
178C2×D4×C17—82no—
179C2×D4×C17C2×D414yes—
180C2×D4×C17C2412yes—
181C2×D4×C17C2412yes—
182C22×C4×C17—21no—
183C22×C4×C17—21no—
184C22×C4×C17—24no—
185C22×C4×C17—24no—
186C22×C4×C17—42no—
187C22×C4×C17—42no—
188C22×C4×C17—44no—
189C22×C4×C17—82no—
190C22×C4×C17C2×D411yescharacteristic
191C22×C4×C17C2×D412yes—
192C22×C4×C17C2×D411yescharacteristic
193C22×C4×C17C2×D411yescharacteristic
194C22×C4×C17C2×D411yescharacteristic
195C22×C4×C17C2×D412yes—
196C22×C4×C17C2412yes—
197C22×C4×C17C2412yes—
198C22×C4×C17C2411yescharacteristic
199C22×Dic17—22no—
200C22×Dic17—22no—
201C22×Dic17—22no—
202C22×Dic17—22no—
203C2×Dic34—22no—
204C2×Dic34—22no—
205C2×Dic34—22no—
206C2×Dic34—44no—
207C2×Dic34—44no—
208C2×Dic34C2414yes—
209C4⋊C4×C17—21no—
210C4⋊C4×C17—24no—
211C4⋊C4×C17C2×D414yes—
212C4⋊C4×C17C2412yes—
213C22⋊C4×C17—24no—
214C22⋊C4×C17—24no—
215C22⋊C4×C17—24no—
216C22⋊C4×C17—24no—
217C22⋊C4×C17—24no—
218C22⋊C4×C17C2×D414yes—
219C22⋊C4×C17C2×D414yes—
220C42×C17C2×D412yes—
221C42×C17C2412yes—
222C22⋊Dic17—24no—
223C22⋊Dic17—24no—
224C22⋊Dic17—24no—
225#63231—48no—
226#63229—216no—
227#63229—48no—
228C4⋊Dic17—22no—
229C4⋊Dic17—22no—
230C4⋊Dic17—22no—
231C4⋊Dic17—22no—
232C4⋊Dic17—22no—
233C4⋊Dic17C2414yes—
234#63225—24no—
235#63225—24no—
236#63225—24no—
237#63225—24no—
238C4×Dic17—24no—
239#63223—44no—
240C2×#3622—44no—
241C2×#3622C2418yes—
242#61570—171nomaximal, Sylow
243C23×C17—24no—
244C23×C17—22no—
245C23×C17—22no—
246C23×C17—22no—
247C23×C17—41no—
248C23×C17—41no—
249C23×C17—41no—
250C23×C17—41no—
251C23×C17—48no—
252C23×C17—42no—
253C23×C17—42no—
254C23×C17—42no—
255C23×C17—42no—
256C23×C17—48no—
257C23×C17—42no—
258C23×C17—84no—
259C23×C17—816no—
260C23×C17#13714yescomplemented
261C23×C17C22×D412yes—
262C23×C17C22×D411yescharacteristic
263C23×C17C22×D412yes—
264Q8×C17—24no—
265Q8×C17—42no—
266D4×C17—24no—
267D4×C17—28no—
268D4×C17—22no—
269D4×C17—24no—
270D4×C17—48no—
271D4×C17—42no—
272D4×C17—48no—
273D4×C17—84no—
274D4×C17H(5,𝔽2)14yes—
275C2×C4×C17—22no—
276C2×C4×C17—24no—
277C2×C4×C17—24no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—41no—
282C2×C4×C17—41no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17—41no—
286C2×C4×C17—48no—
287C2×C4×C17—42no—
288C2×C4×C17—42no—
289C2×C4×C17—84no—
290C2×C4×C17C22×D411yescharacteristic
291C2×C4×C17C22×D412yes—
292C2×C4×C17C22×D412yes—
293C2×C4×C17C22×D412yes—
294C2×C4×C17C22×D412yes—
295C2×C4×C17C2511yescharacteristic
296C2×Dic17—24no—
297C2×Dic17—24no—
298C2×Dic17—82no—
299C2×Dic17—82no—
300C2×Dic17—82no—
301C2×Dic17—82no—
302Dic34—28no—
303Dic34—82no—
304Dic34—82no—
305Dic34—82no—
306#3622—28no—
307#3501—171no—
308C2×#546D1711yescharacteristic
309#3314—178no—
310#3266—178no—
311#3215—172no—
312#3193—172no—
313#3189—172no—
314#3110—172no—
315#3007—172no—
316C2×#450—172no—
317#2973—171no—
318C22×C17—22no—
319C22×C17—21no—
320C22×C17—22no—
321C22×C17—21no—
322C22×C17—22no—
323C22×C17—22no—
324C22×C17—24no—
325C22×C17—22no—
326C22×C17—44no—
327C22×C17—48no—
328C22×C17—42no—
329C22×C17—42no—
330C22×C17—42no—
331C22×C17—42no—
332C22×C17—42no—
333C22×C17—82no—
334C22×C17—816no—
335C22×C17—84no—
336C22×C17C2×#13712yes—
337C22×C17C2×#13714yes—
338C22×C17C23×D411yescharacteristic
339C4×C17—22no—
340C4×C17—22no—
341C4×C17—22no—
342C4×C17—21no—
343C4×C17—22no—
344C4×C17—42no—
345C4×C17—42no—
346C4×C17C2×H(5,𝔽2)12yes—
347Dic17—44no—
348Dic17—44no—
349C22×#41C2×D1711yescharacteristic
350C23×D4C2×D1711yescharacteristic
351C2×#137—174no—
352C22×SD16—174no—
353#554—174no—
354#554—344no—
355D4×Q8—174no—
356#546—24no—
357#546C2×D1718yes—
358#544—341no—
359#543—341no—
360#543—341no—
361#533—172no—
362C2×#124C2×D1711yescharacteristic
363C2×#123—21no—
364C2×C22⋊Q8—172no—
365C2×C22⋊Q8—172no—
366C2×C22⋊Q8C2×D1711yescharacteristic
367C2×#121—21no—
368C2×#121C2×D1711yescharacteristic
369C2×#120—21no—
370#518—341no—
371C2×C4×D4C2×D1711yescharacteristic
372C2×C4×D4C2×D1711yescharacteristic
373C22×C22⋊C4—21no—
374#497—174no—
375#489—174no—
376#484—174no—
377#484—174no—
378#480—174no—
379#474—174no—
380#468—178no—
381#467—178no—
382#464—178no—
383#461—174no—
384#452—178no—
385#451—174no—
386#451—174no—
387#450—174no—
388#450—174no—
389#450—178no—
390#448—174no—
391#440—178no—
392#435—178no—
393#432—172no—
394#417—174no—
395C2×#102—174no—
396#407—172no—
397C2×C22⋊C8—172no—
398C2×C17—22no—
399C2×C17—24no—
400C2×C17—42no—
401C2×C17—44no—
402C2×C17—82no—
403C2×C17#348411yescharacteristic
404C2×C17C22×#13711yescharacteristic
405C2×C17#358511yescharacteristic
406C25—21no—
407C2×#41—22no—
408C2×#41—44no—
409C2×#41C22×D1714yes—
410C22×Q8—172no—
411C22×Q8—172no—
412C22×Q8C22×D1711yescharacteristic
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—22no—
417C22×D4—44no—
418C22×D4C22⋊D1711yescharacteristic
419C22×D4C22×D1711yescharacteristic
420C22×D4C22×D1714yes—
421C22×D4C22×D1711yescharacteristic
422C23×C4—21no—
423C23×C4—21no—
424C23×C4C22×D1711yescharacteristic
425C23×C4C22×D1711yescharacteristic
426#137—688no—
427C2×Q16—178no—
428C2×SD16—178no—
429C2×SD16—178no—
430C2×SD16—688no—
431C2×M16—174no—
432C22×C8—174no—
433C4⋊Q8—172no—
434C4⋊Q8—172no—
435C4⋊Q8—344no—
436#125—344no—
437#125—342no—
438#124—22no—
439#124C22×D1714yes—
440#123—28no—
441C22⋊Q8—22no—
442C22⋊Q8—174no—
443C22⋊Q8—174no—
444C22⋊Q8—174no—
445C22⋊Q8—342no—
446C22⋊Q8—342no—
447C22⋊Q8—342no—
448C22⋊Q8—342no—
449C22⋊Q8—342no—
450C22⋊Q8—344no—
451C22⋊Q8—344no—
452C22⋊Q8—344no—
453C22⋊Q8—344no—
454C22⋊Q8C22×D1714yes—
455#121—22no—
456#121—28no—
457#121C22×D1714yes—
458#120—28no—
459C4×Q8—174no—
460C4×Q8—342no—
461C4×D4—22no—
462C4×D4—344no—
463C4×D4—344no—
464C4×D4C22⋊D1714yes—
465C4×D4C22×D1714yes—
466C4×D4C22×D1714yes—
467#117—342no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—172no—
470C2×C4⋊C4—172no—
471C2×C4⋊C4—342no—
472C2×C4⋊C4—342no—
473C2×C4⋊C4C22⋊D1711yescharacteristic
474C2×C4⋊C4C22×D1711yescharacteristic
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—28no—
481C2×C22⋊C4—342no—
482C2×C22⋊C4—342no—
483C2×C22⋊C4C22⋊D1711yescharacteristic
484C2×C22⋊C4C22⋊D1711yescharacteristic
485C2×C42C22×D1711yescharacteristic
486#107—178no—
487C4⋊C8—174no—
488#103—178no—
489#103—178no—
490#102—178no—
491#102—178no—
492C22⋊C8—174no—
493C22⋊C8—174no—
494C22⋊C8—174no—
495#97—174no—
496C17#6157011yescharacteristic, complemented, Sylow
497C24—21no—
498C24—21no—
499C24—24no—
500C24—44no—
501C24—44no—
502C24—82no—
503C24C2×C22⋊D1711yescharacteristic
504C24C2×C22⋊D1711yescharacteristic
505#41—28no—
506#41—44no—
507#41—48no—
508C2×Q8—21no—
509C2×Q8—42no—
510C2×Q8—174no—
511C2×Q8—342no—
512C2×Q8—342no—
513C2×Q8—342no—
514C2×Q8—684no—
515C2×Q8—684no—
516C2×Q8C23×D1712yes—
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⋊D1714yes—
532C2×D4C23×D1712yes—
533C2×D4C23×D1712yes—
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—342no—
543C22×C4—342no—
544C22×C4—342no—
545C22×C4—342no—
546C22×C4C2×C22⋊D1711yescharacteristic
547C22×C4C2×C22⋊D1711yescharacteristic
548C22×C4C2×C22⋊D1711yescharacteristic
549C22×C4C2×C22⋊D1711yescharacteristic
550C22×C4C2×C22⋊D1712yes—
551C22×C4C2×C22⋊D1712yes—
552C22×C4C23×D1711yescharacteristic
553C22×C4C23×D1712yes—
554C22×C4C23×D1712yes—
555Q16—688no—
556SD16—3416no—
557SD16—688no—
558M16—684no—
559C2×C8—178no—
560C2×C8—684no—
561C4⋊C4—24no—
562C4⋊C4—21no—
563C4⋊C4—174no—
564C4⋊C4—342no—
565C4⋊C4—342no—
566C4⋊C4—344no—
567C4⋊C4—344no—
568C4⋊C4—344no—
569C4⋊C4—342no—
570C4⋊C4—342no—
571C4⋊C4—344no—
572C4⋊C4—342no—
573C4⋊C4C2×C22⋊D1714yes—
574C4⋊C4C23×D1712yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—344no—
581C22⋊C4—344no—
582C22⋊C4—344no—
583C22⋊C4C2×C22⋊D1714yes—
584C22⋊C4C2×C22⋊D1714yes—
585C42—344no—
586C42C2×C22⋊D1712yes—
587C42C23×D1712yes—
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#1058763714yescomplemented
606C23C22×C22⋊D1712yes—
607C23C22×C22⋊D1712yes—
608C23C22×C22⋊D1711yescharacteristic
609Q8—24no—
610Q8—42no—
611Q8—348no—
612Q8—1362no—
613Q8—1362no—
614Q8—1362no—
615D4—24no—
616D4—28no—
617D4—22no—
618D4—24no—
619D4—48no—
620D4—42no—
621D4—48no—
622D4—84no—
623D4#1058769114yes—
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—344no—
640C2×C4—344no—
641C2×C4—1362no—
642C2×C4—1362no—
643C2×C4—1362no—
644C2×C4—1362no—
645C2×C4C22×C22⋊D1712yes—
646C2×C4C22×C22⋊D1711yescharacteristic
647C2×C4C22×C22⋊D1712yes—
648C2×C4C22×C22⋊D1712yes—
649C2×C4C22×C22⋊D1712yes—
650C2×C4C24×D1711yescharacteristic
651C8—348no—
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×#1058763712yes—
671C22C2×#1058763714yes—
672C22C23×C22⋊D1711yescharacteristic
673C4—22no—
674C4—21no—
675C4—22no—
676C4—22no—
677C4—22no—
678C4—42no—
679C4—42no—
680C4—684no—
681C4—684no—
682C4C2×#1058769112yes—
683C2—22no—
684C2—24no—
685C2—42no—
686C2—44no—
687C2—82no—
688C2#1454241911yescharacteristic
689C2C22×#1058763711yescharacteristic
690C2#1454356411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
Fitting, prime radicalC2×C17×#546C2
socleC22×C17C23×D4
hypercenterC2×#546D17
hypocenterC17#61570
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #14542587C2semidirect
2. #14540865C2semidirect
3. #14540290C2semidirect
4. #14539787C2semidirect
5. #14539590C2semidirect
6. #14539556C2semidirect
7. #14538883C2semidirect
8. #14538044C2semidirect
9. C2×#11762960C2semidirect
10. #14537813C2semidirect
12. C2×#10587637C22semidirect
13. C22×#63229C22semidirect
15. #11763516C22semidirect
16. D4×Dic34C22semidirect
20. #11763366C22semidirect
22. C2×#10587610C22semidirect
24. #11763204C22semidirect
25. #11763168C22semidirect
26. #11763144C22semidirect
27. #11763142C22semidirect
28. #11763120C22semidirect
29. #11763089C22semidirect
30. #11763053C22semidirect
31. #11763048C22semidirect
32. #11763028C22semidirect
33. #11763014C22semidirect
34. #11762971C22semidirect
35. #11762965C22semidirect
36. #11762964C22semidirect
39. #11762960C22semidirect
40. #11762947C22semidirect
41. #11762909C22semidirect
42. #11762881C22semidirect
43. #11762866C22semidirect
44. #11762810C22semidirect
45. C2×#10587503C22semidirect
46. #11762773C22semidirect
80. C22×Dic34C23semidirect
109. C2×#63231C23semidirect
117. C2×C4⋊Dic17C23semidirect
125. #10587610C23semidirect
128. C2×#63223C23semidirect
137. #10587555C23semidirect
138. #10587555C23semidirect
140. C4×Dic34C23semidirect
141. #10587506C23semidirect
146. C22⋊#3622C23semidirect
147. #10587481C23semidirect
148. #10587478C23semidirect
149. C4⋊#3622C23semidirect
150. #10587474C23semidirect
260. C23×C17#137semidirect
496. C17#61570semidirect
605. C23#10587637semidirect

Maximal subgroups

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

subgroupindex
#145425872
#145408652
#145402902
#145397872
#145395902
#145395562
#145388832
#145380442
C2×#117629602
#145378132
C2×C17×#5462
#6157017