Finite Group Databasebeta

← #17195282

Subgroups — #17195282

Order 4352.

2834 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763284C211yesmaximal, characteristic
2#14531722C214yesmaximal, complemented
3#14531711C214yesmaximal, complemented
4#14531646C214yesmaximal, complemented
5#14531635C214yesmaximal, complemented
6#14531410C214yesmaximal, complemented
7#14531396C211yesmaximal, characteristic, complemented
8#14531224C214yesmaximal, complemented
9C2×#11762689C211yesmaximal, characteristic
10C2×#11762681C211yesmaximal, characteristic, complemented
11#14531137C211yesmaximal, characteristic, complemented
12C2×C22⋊C4×Dic17C211yesmaximal, characteristic, complemented
13C17×#2308C211yesmaximal, characteristic
14C24×Dic17C2211yescharacteristic
15#11763284C4116yescomplemented
16C2×D4×Dic17C2214yes—
17C2×D4×Dic17C2214yes—
18C2×#10587612C2212yes—
19C2×#10587563C2214yescomplemented
20C22×#63225C2212yescomplemented
21C22×C22⋊Dic17C2211yescharacteristic
22C22×C22⋊Dic17C2212yes—
23C22×C22⋊Dic17C2211yescharacteristic
24C22×C22⋊Dic17C2211yescharacteristic
25C22×C22⋊Dic17C2212yes—
26C22×C4×Dic17C2212yescomplemented
27#11762703C2214yescomplemented
28#11762703C2214yescomplemented
29#11762697C2214yescomplemented
30#11762697C2214yescomplemented
31#11762694C2214yescomplemented
32#11762694C2214yescomplemented
33#11762692C2214yescomplemented
34#11762692C2214yescomplemented
35#11762689C2212yes—
36#11762689C2214yes—
37#11762689C2212yes—
38#11762682C2214yescomplemented
39#11762681C2214yes—
40#11762681C2214yes—
41#11762681C2212yescomplemented
42#11762681C2212yescomplemented
43#11762676C2214yescomplemented
44#11762673C2214yescomplemented
45#11762670C2214yescomplemented
46#11762667C2214yescomplemented
47#11762667C2214yescomplemented
48#11762660C2214yescomplemented
49C22⋊C4×Dic17C2214yes—
50C22⋊C4×Dic17C2214yes—
51C22⋊C4×Dic17C2214yescomplemented
52C22⋊C4×Dic17C2214yescomplemented
53C22⋊C4×Dic17C2214yescomplemented
54C4×C22⋊Dic17C2212yescomplemented
55C4×C22⋊Dic17C2212yescomplemented
56#11762654C2214yescomplemented
57C2×#10587502C2212yes—
58C2×#10587502C2212yescomplemented
59C2×#10587502C2212yescomplemented
60C23×D4×C17C2211yescharacteristic
61C22×C22⋊C4×C17C2211yescharacteristic
62C22×C22⋊C4×C17C2211yescharacteristic
63C17×#386C2214yes—
64C17×#386C2212yes—
65C17×#386C2212yes—
66C17×#381C2212yes—
67C17×#379C2212yes—
68C25×C17C2311yescharacteristic
69C25×C17C2311yescharacteristic
70C22×D4×C17—24no—
71C22×D4×C17—24no—
72C22×D4×C17C2×C418yes—
73C22×D4×C17C2312yes—
74C22×D4×C17C2312yes—
75C23×C4×C17C2311yescharacteristic
76C23×C4×C17C2312yes—
77C23×C4×C17C2311yescharacteristic
78C23×C4×C17C2311yescharacteristic
79C23×Dic17—24no—
80C23×Dic17—44no—
81C23×Dic17C2311yescharacteristic
82C23×Dic17C2312yes—
83C23×Dic17C2312yes—
84C23×Dic17C2311yescharacteristic
85C23×Dic17C2312yes—
86C23×Dic17C2312yes—
87C23×Dic17C2312yes—
88C23×Dic17C2314yes—
89C2×C22⋊C4×C17—24no—
90C2×C22⋊C4×C17—24no—
91C2×C22⋊C4×C17C2312yes—
92C2×C22⋊C4×C17C2312yes—
93C2×C22⋊C4×C17C2312yes—
94C2×C22⋊C4×C17C2312yes—
95C2×C22⋊C4×C17C2314yes—
96C2×C22⋊C4×C17C2314yes—
97C2×C22⋊Dic17—24no—
98C2×C22⋊Dic17—44no—
99C2×C22⋊Dic17C2×C418yes—
100C2×C22⋊Dic17C2×C418yes—
101C2×C22⋊Dic17C2×C4116yescomplemented
102C2×C22⋊Dic17C2314yes—
103C2×C22⋊Dic17C2312yes—
104C2×C22⋊Dic17C2312yes—
105C2×C22⋊Dic17C2314yes—
106C2×C22⋊Dic17C2312yes—
107C2×C22⋊Dic17C2312yes—
108C2×C22⋊Dic17C2312yes—
109C2×C22⋊Dic17C2312yes—
110C2×C22⋊Dic17C2314yes—
111D4×Dic17C2×C4132yescomplemented
112D4×Dic17C2×C4132yescomplemented
113#10587612C2×C4116yescomplemented
114C2×C4⋊Dic17C2314yes—
115C2×#63225—44no—
116C2×#63225C2314yes—
117C2×#63225C2314yes—
118C2×#63225C2314yes—
119C2×#63225C2314yes—
120C2×C4×Dic17—44no—
121C2×C4×Dic17C2314yes—
122C2×C4×Dic17C2314yes—
123C2×C4×Dic17C2314yes—
124C2×C4×Dic17C2314yes—
125C2×C4×Dic17C2314yes—
126#10587563—48no—
127C17×#95C2314yes—
128C17×#95C2314yes—
129#10587502C2314yes—
130#10587502C2314yes—
131#10587502C2314yes—
132#10587502C2314yes—
133#10587502C2314yes—
134#10587502C2314yes—
135#10587502C2314yes—
136#10587502C2314yes—
137#10587502C2314yes—
138#10587502C2314yes—
139C24×C17—22no—
140C24×C17—22no—
141C24×C17—42no—
142C24×C17—42no—
143C24×C17—42no—
144C24×C17—42no—
145C24×C17C22×C414yes—
146C24×C17C22×C414yes—
147C24×C17#4114yes—
148C24×C17#4114yes—
149C24×C17C2412yes—
150C24×C17C2411yescharacteristic
151C24×C17C2411yescharacteristic
152C24×C17C2411yescharacteristic
153C2×D4×C17—232no—
154C2×D4×C17—24no—
155C2×D4×C17—24no—
156C2×D4×C17—24no—
157C2×D4×C17—24no—
158C2×D4×C17C22×C418yes—
159C2×D4×C17C22×C418yes—
160C22×C4×C17—22no—
161C22×C4×C17—22no—
162C22×C4×C17—24no—
163C22×C4×C17—22no—
164C22×C4×C17—22no—
165C22×C4×C17—42no—
166C22×C4×C17—42no—
167C22×C4×C17—42no—
168C22×C4×C17—42no—
169C22×C4×C17C22×C414yes—
170C22×C4×C17C2412yes—
171C22×C4×C17C2414yes—
172C22×C4×C17C2412yes—
173C22×C4×C17C2412yes—
174C22×Dic17—22no—
175C22×Dic17—24no—
176C22×Dic17—24no—
177C22×Dic17—24no—
178C22×Dic17—22no—
179C22×Dic17—24no—
180C22×Dic17—24no—
181C22×Dic17—24no—
182C22×Dic17—42no—
183C22×Dic17—42no—
184C22×Dic17—42no—
185C22×Dic17—42no—
186C22×Dic17—44no—
187C22×Dic17—42no—
188C22×Dic17—44no—
189C22×Dic17—42no—
190C22×Dic17—42no—
191C22×Dic17—42no—
192C22×Dic17—42no—
193C22×Dic17—416no—
194C22×Dic17C22×C418yes—
195C22×Dic17C22×C418yes—
196C22×Dic17C22×C4116yescomplemented
197C22×Dic17C2412yes—
198C22×Dic17C2414yes—
199C22×Dic17C2414yes—
200C22×Dic17C2414yes—
201C22×Dic17C2412yes—
202C22⋊C4×C17—24no—
203C22⋊C4×C17—24no—
204C22⋊C4×C17—24no—
205C22⋊C4×C17—24no—
206C22⋊C4×C17—44no—
207C22⋊C4×C17—44no—
208C22⋊Dic17—24no—
209C22⋊Dic17—24no—
210C22⋊Dic17—28no—
211C22⋊Dic17—44no—
212C22⋊Dic17C22×C418yes—
213C22⋊Dic17C22×C418yes—
214C22⋊Dic17C22×C418yes—
215C22⋊Dic17C22×C418yes—
216C22⋊Dic17C22×C4116yescomplemented
217C4⋊Dic17C22×C4116yescomplemented
218#63225—28no—
219#63225—44no—
220#63225—44no—
221#63225—44no—
222C4×Dic17—28no—
223C4×Dic17—44no—
224C4×Dic17—44no—
225C4×Dic17—44no—
226C4×Dic17C22×C4116yescomplemented
227#34251—171nomaximal, Sylow
228C23×C17—22no—
229C23×C17—22no—
230C23×C17—22no—
231C23×C17—22no—
232C23×C17—22no—
233C23×C17—22no—
234C23×C17—22no—
235C23×C17—22no—
236C23×C17—24no—
237C23×C17—24no—
238C23×C17—28no—
239C23×C17—44no—
240C23×C17—48no—
241C23×C17—44no—
242C23×C17—48no—
243C23×C17—48no—
244C23×C17—82no—
245C23×C17—82no—
246C23×C17—84no—
247C23×C17#117116yescomplemented
248C23×C17C23×C414yes—
249C23×C17C23×C412yes—
250C23×C17C23×C412yes—
251C23×C17C23×C412yes—
252C23×C17C2×#4112yes—
253C23×C17C2×#4112yes—
254C23×C17C2×#4112yes—
255C23×C17C2×#4112yes—
256C23×C17C2×#4112yes—
257C23×C17C2×#4112yes—
258C23×C17C2511yescharacteristic
259D4×C17—216no—
260D4×C17—216no—
261C2×C4×C17—28no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—24no—
267C2×C4×C17—24no—
268C2×C4×C17—24no—
269C2×C4×C17—24no—
270C2×C4×C17—24no—
271C2×C4×C17—48no—
272C2×C4×C17—82no—
273C2×C4×C17—82no—
274C2×C4×C17C23×C414yes—
275C2×Dic17—28no—
276C2×Dic17—22no—
277C2×Dic17—22no—
278C2×Dic17—24no—
279C2×Dic17—24no—
280C2×Dic17—24no—
281C2×Dic17—24no—
282C2×Dic17—24no—
283C2×Dic17—22no—
284C2×Dic17—24no—
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—24no—
288C2×Dic17—48no—
289C2×Dic17—48no—
290C2×Dic17—416no—
291C2×Dic17—48no—
292C2×Dic17—48no—
293C2×Dic17—44no—
294C2×Dic17—84no—
295C2×Dic17C23×C418yes—
296C2×Dic17C23×C418yes—
297C2×Dic17H(5,𝔽2)14yes—
298C2×#518—171no—
299#2353—174no—
300#2352—174no—
301#2343—174no—
302#2342—174no—
303#2318—174no—
304#2315—171no—
305#2308D1711yescharacteristic
306#2290—174no—
307C2×#386—171no—
308C2×#385—171no—
309#2273—171no—
310C2×C4×C22⋊C4—171no—
311C22×C17—24no—
312C22×C17—24no—
313C22×C17—24no—
314C22×C17—22no—
315C22×C17—22no—
316C22×C17—22no—
317C22×C17—22no—
318C22×C17—22no—
319C22×C17—22no—
320C22×C17—24no—
321C22×C17—24no—
322C22×C17—24no—
323C22×C17—24no—
324C22×C17—28no—
325C22×C17—416no—
326C22×C17—42no—
327C22×C17—42no—
328C22×C17—44no—
329C22×C17—88no—
330C22×C17C2×#11714yes—
331C22×C17C2×#11714yes—
332C22×C17C2×#11714yes—
333C22×C17C24×C411yescharacteristic
334C22×C17C22×#4111yescharacteristic
335C22×C17C22×#4111yescharacteristic
336C22×C17C2×H(5,𝔽2)12yes—
337C22×C17#58512yes—
338C4×C17—24no—
339C4×C17—42no—
340C4×C17—42no—
341C4×C17—44no—
342Dic17—28no—
343Dic17—28no—
344Dic17—24no—
345Dic17—42no—
346Dic17—44no—
347C23×D4C2×D1711yescharacteristic
348C24×C4—171no—
349#518—1716no—
350C2×C4×D4—174no—
351C2×C4×D4—174no—
352C2×#117—172no—
353C2×#117—174no—
354C22×C4⋊C4—172no—
355C22×C22⋊C4—171no—
356C22×C22⋊C4—172no—
357C22×C22⋊C4—171no—
358C22×C22⋊C4—171no—
359C22×C22⋊C4—172no—
360C22×C22⋊C4C2×D1711yescharacteristic
361C22×C22⋊C4C2×D1711yescharacteristic
362C22×C42—172no—
363#388—174no—
364#388—174no—
365#388—174no—
366#388—174no—
367#387—174no—
368#387—174no—
369#387—174no—
370#387—174no—
371#386—172no—
372#386—174no—
373#386—172no—
374#386C2×D1714yes—
375#386C2×D1712yes—
376#386C2×D1712yes—
377#385—174no—
378#385—174no—
379#385—172no—
380#385—174no—
381#385—172no—
382#383—174no—
383#382—174no—
384#381—174no—
385#381C2×D1712yes—
386#380—174no—
387#380—174no—
388#379C2×D1712yes—
389C4×C4⋊C4—174no—
390C4×C22⋊C4—172no—
391C4×C22⋊C4—172no—
392C4×C22⋊C4—174no—
393C4×C22⋊C4—174no—
394C4×C22⋊C4—174no—
395C4×C22⋊C4—174no—
396C4×C22⋊C4—174no—
397#376—174no—
398C2×#95—172no—
399C2×#95—172no—
400C2×#95—172no—
401C2×C17—24no—
402C2×C17—24no—
403C2×C17—24no—
404C2×C17—44no—
405C2×C17C22×#11711yescharacteristic
406C2×C17C4×H(5,𝔽2)12yes—
407C2×C17#349011yescharacteristic
408C2×C17#349111yescharacteristic
409C2×C17#350512yes—
410C25C22×D1711yescharacteristic
411C25C22×D1711yescharacteristic
412C22×D4—24no—
413C22×D4—24no—
414C22×D4C4×D1718yes—
415C22×D4C22×D1712yes—
416C22×D4C22×D1712yes—
417C23×C4—172no—
418C23×C4—174no—
419C23×C4—172no—
420C23×C4—171no—
421C23×C4—172no—
422C23×C4—172no—
423C23×C4—172no—
424C23×C4—171no—
425C23×C4—344no—
426C23×C4—684no—
427C23×C4C22×D1711yescharacteristic
428C23×C4C22×D1711yescharacteristic
429C23×C4C22×D1711yescharacteristic
430C23×C4C22×D1712yes—
431C4×D4—1732no—
432C4×D4—1732no—
433#117—1716no—
434#117—688no—
435C2×C4⋊C4—174no—
436C2×C4⋊C4—174no—
437C2×C4⋊C4—174no—
438C2×C4⋊C4—174no—
439C2×C4⋊C4—174no—
440C2×C4⋊C4—684no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—178no—
444C2×C22⋊C4—178no—
445C2×C22⋊C4—1716no—
446C2×C22⋊C4—172no—
447C2×C22⋊C4—172no—
448C2×C22⋊C4—172no—
449C2×C22⋊C4—172no—
450C2×C22⋊C4—174no—
451C2×C22⋊C4—174no—
452C2×C22⋊C4—172no—
453C2×C22⋊C4—172no—
454C2×C22⋊C4—174no—
455C2×C22⋊C4—344no—
456C2×C22⋊C4—684no—
457C2×C22⋊C4C22×D1712yes—
458C2×C22⋊C4C22×D1712yes—
459C2×C22⋊C4C22×D1712yes—
460C2×C22⋊C4C22×D1712yes—
461C2×C22⋊C4C22×D1714yes—
462C2×C22⋊C4C22×D1714yes—
463C2×C42—174no—
464C2×C42—174no—
465C2×C42—174no—
466C2×C42—174no—
467C2×C42—174no—
468C2×C42—684no—
469#95—174no—
470#95—174no—
471#95—174no—
472#95—174no—
473#95—174no—
474#95—174no—
475#95—174no—
476#95—174no—
477#95—174no—
478#95—174no—
479#95C22×D1714yes—
480#95C22×D1714yes—
481C17#3425111yescharacteristic, complemented, Sylow
482C24—22no—
483C24—22no—
484C24—42no—
485C24—42no—
486C24—42no—
487C24—42no—
488C24C2×C4×D1714yes—
489C24C2×C4×D1714yes—
490C24#6325414yes—
491C24#6325414yes—
492C24C23×D1712yes—
493C24C23×D1711yescharacteristic
494C24C23×D1711yescharacteristic
495C24C23×D1711yescharacteristic
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—24no—
500C2×D4—232no—
501C2×D4C2×C4×D1718yes—
502C2×D4C2×C4×D1718yes—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—174no—
513C22×C4—172no—
514C22×C4—174no—
515C22×C4—178no—
516C22×C4—178no—
517C22×C4—1716no—
518C22×C4—172no—
519C22×C4—174no—
520C22×C4—344no—
521C22×C4—344no—
522C22×C4—344no—
523C22×C4—342no—
524C22×C4—344no—
525C22×C4—344no—
526C22×C4—342no—
527C22×C4—344no—
528C22×C4—682no—
529C22×C4—682no—
530C22×C4—684no—
531C22×C4—682no—
532C22×C4—684no—
533C22×C4—682no—
534C22×C4—682no—
535C22×C4—682no—
536C22×C4—682no—
537C22×C4—682no—
538C22×C4—682no—
539C22×C4—6816no—
540C22×C4C2×C4×D1714yes—
541C22×C4C23×D1712yes—
542C22×C4C23×D1714yes—
543C22×C4C23×D1712yes—
544C22×C4C23×D1712yes—
545C4⋊C4—1716no—
546C4⋊C4—348no—
547C4⋊C4—684no—
548C4⋊C4—684no—
549C4⋊C4—684no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—44no—
555C22⋊C4—44no—
556C22⋊C4—178no—
557C22⋊C4—178no—
558C22⋊C4—178no—
559C22⋊C4—178no—
560C22⋊C4—1716no—
561C22⋊C4—348no—
562C22⋊C4—344no—
563C22⋊C4—344no—
564C22⋊C4—684no—
565C42—1716no—
566C42—348no—
567C42—684no—
568C42—684no—
569C42—684no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—24no—
580C23—28no—
581C23—44no—
582C23—48no—
583C23—48no—
584C23—44no—
585C23—48no—
586C23—84no—
587C23—82no—
588C23—82no—
589C23#10587563116yescomplemented
590C23C22×C4×D1714yes—
591C23C22×C4×D1712yes—
592C23C22×C4×D1712yes—
593C23C22×C4×D1712yes—
594C23C2×#6325412yes—
595C23C2×#6325412yes—
596C23C2×#6325412yes—
597C23C2×#6325412yes—
598C23C2×#6325412yes—
599C23C2×#6325412yes—
600C23C24×D1711yescharacteristic
601D4—216no—
602D4—216no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—48no—
614C2×C4—82no—
615C2×C4—82no—
616C2×C4—178no—
617C2×C4—178no—
618C2×C4—174no—
619C2×C4—348no—
620C2×C4—342no—
621C2×C4—344no—
622C2×C4—342no—
623C2×C4—344no—
624C2×C4—344no—
625C2×C4—344no—
626C2×C4—344no—
627C2×C4—342no—
628C2×C4—344no—
629C2×C4—342no—
630C2×C4—342no—
631C2×C4—344no—
632C2×C4—688no—
633C2×C4—688no—
634C2×C4—6816no—
635C2×C4—688no—
636C2×C4—688no—
637C2×C4—684no—
638C2×C4—1364no—
639C2×C4C22×C4×D1714yes—
640C22—24no—
641C22—24no—
642C22—24no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—24no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—28no—
654C22—416no—
655C22—44no—
656C22—42no—
657C22—42no—
658C22—88no—
659C22C2×#1058756314yes—
660C22C2×#1058756314yes—
661C22C2×#1058756314yes—
662C22C23×C4×D1711yescharacteristic
663C22C22×#6325411yescharacteristic
664C22C22×#6325411yescharacteristic
665C22H(5,𝔽2)×D1712yes—
666C22#1176364412yes—
667C4—24no—
668C4—44no—
669C4—42no—
670C4—42no—
671C4—344no—
672C4—348no—
673C4—348no—
674C4—684no—
675C4—682no—
676C2—24no—
677C2—24no—
678C2—24no—
679C2—44no—
680C2C22×#1058756311yescharacteristic
681C2#1454198812yes—
682C2#1454247211yescharacteristic
683C2#1454248111yescharacteristic
684C2#1454262112yes—
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2308C2
socle, cosocleC23×C17C25
prime radicalC23×D4×C17C22
hypercenter#2308D17
hypocenterC17#34251
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. #14531722C2semidirect
3. #14531711C2semidirect
4. #14531646C2semidirect
5. #14531635C2semidirect
6. #14531410C2semidirect
7. #14531396C2semidirect
8. #14531224C2semidirect
10. C2×#11762681C2semidirect
11. #14531137C2semidirect
12. C2×C22⋊C4×Dic17C2semidirect
15. #11763284C4semidirect
19. C2×#10587563C22semidirect
20. C22×#63225C22semidirect
26. C22×C4×Dic17C22semidirect
27. #11762703C22semidirect
28. #11762703C22semidirect
29. #11762697C22semidirect
30. #11762697C22semidirect
31. #11762694C22semidirect
32. #11762694C22semidirect
33. #11762692C22semidirect
34. #11762692C22semidirect
38. #11762682C22semidirect
41. #11762681C22semidirect
42. #11762681C22semidirect
43. #11762676C22semidirect
44. #11762673C22semidirect
45. #11762670C22semidirect
46. #11762667C22semidirect
47. #11762667C22semidirect
48. #11762660C22semidirect
51. C22⋊C4×Dic17C22semidirect
52. C22⋊C4×Dic17C22semidirect
53. C22⋊C4×Dic17C22semidirect
54. C4×C22⋊Dic17C22semidirect
55. C4×C22⋊Dic17C22semidirect
56. #11762654C22semidirect
58. C2×#10587502C22semidirect
59. C2×#10587502C22semidirect
101. C2×C22⋊Dic17C2×C4semidirect
111. D4×Dic17C2×C4semidirect
112. D4×Dic17C2×C4semidirect
113. #10587612C2×C4semidirect
196. C22×Dic17C22×C4semidirect
216. C22⋊Dic17C22×C4semidirect
217. C4⋊Dic17C22×C4semidirect
226. C4×Dic17C22×C4semidirect
247. C23×C17#117semidirect
481. C17#34251semidirect
589. C23#10587563semidirect

Maximal subgroups

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

subgroupindex
C2×#117632842
#145317222
#145317112
#145316462
#145316352
#145314102
#145313962
#145312242
C2×#117626892
C2×#117626812
#145311372
C2×C22⋊C4×Dic172
C17×#23082
#3425117