Finite Group Databasebeta

← #17193712

Subgroups — #17193712

Order 4352.

2554 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic17C211yesmaximal, characteristic
2#14531756C212yesmaximal, complemented
3#14531748C212yesmaximal, complemented
4#14531740C212yesmaximal, complemented
5#14531732C212yesmaximal, complemented
6#14531722C214yesmaximal, complemented
7#14531711C214yesmaximal, complemented
8#14531280C212yesmaximal, complemented
9#14531280C212yesmaximal, complemented
10#14531275C211yesmaximal, characteristic
11#14531187C211yesmaximal, characteristic, complemented
12#14531178C212yesmaximal, complemented
13#117×Dic17C211yesmaximal, characteristic, complemented
14C4×#10587612C211yesmaximal, characteristic, complemented
15C4×#10587563C212yesmaximal, complemented
16C2×C4×#63225C211yesmaximal, characteristic, complemented
17C17×#2297C211yesmaximal, characteristic
18#41×Dic17C4116yescomplemented
19C2×Q8×Dic17C2211yescharacteristic
20C2×Q8×Dic17C2211yescharacteristic
21C2×D4×Dic17C2212yes—
22C2×D4×Dic17C2212yes—
23C2×D4×Dic17C2211yescharacteristic
24C2×D4×Dic17C2211yescharacteristic
25C2×#10587612C2211yescharacteristic
26C2×#10587612C2211yescharacteristic
27C2×#10587612C2212yes—
28C2×#10587563C2214yes—
29C22×#63225C2212yes—
30C22×C4×Dic17C2211yescharacteristic
31C22×C4×Dic17C2211yescharacteristic
32C22×C4×Dic17C2212yes—
33#11762716C2212yes—
34#11762712C2212yes—
35#11762703C2214yes—
36#11762703C2214yes—
37#11762697C2214yes—
38#11762697C2214yes—
39#11762694C2214yes—
40#11762694C2214yes—
41#11762692C2214yes—
42#11762692C2214yes—
43#11762689C2214yes—
44#11762678C2212yes—
45#11762676C2214yes—
46#11762674C2212yes—
47#11762673C2214yes—
48#11762670C2214yes—
49#11762667C2214yes—
50#11762667C2212yes—
51#11762667C2212yes—
52C4⋊C4×Dic17C2212yes—
53C4⋊C4×Dic17C2212yes—
54C4×#63225C2211yescharacteristic
55C4×#63225C2211yescharacteristic
56C4×#63225C2212yes—
57C4×#63225C2212yes—
58C4×#63225C2211yescharacteristic
59C4×#63225C2211yescharacteristic
60C4×#63225C2212yes—
61C4×#63225C2212yes—
62C4×C4⋊Dic17C2212yes—
63C4×C4⋊Dic17C2212yes—
64#11762660C2214yes—
65C22⋊C4×Dic17C2214yes—
66C22⋊C4×Dic17C2214yes—
67C4×C22⋊Dic17C2212yes—
68C4×C22⋊Dic17C2214yes—
69C4×C22⋊Dic17C2212yes—
70#11762655C2212yes—
71#11762655C2212yes—
72#11762654C2214yes—
73C2×#10587502C2212yes—
74C42×Dic17C2212yes—
75C42×Dic17C2212yes—
76C22×#41×C17C2211yescharacteristic
77C2×C17×#117C2211yescharacteristic
78C22×C42×C17C2211yescharacteristic
79C17×#391C2212yes—
80C17×#390C2212yes—
81C17×#386C2214yes—
82C4×C22⋊C4×C17C2212yes—
83C4×C22⋊C4×C17C2212yes—
84C2×#41×C17—24no—
85C2×#41×C17—24no—
86C2×#41×C17C2×C418yes—
87C22×Q8×C17C2311yescharacteristic
88C22×D4×C17C2312yes—
89C22×D4×C17C2311yescharacteristic
90C23×C4×C17C2312yes—
91C23×C4×C17C2312yes—
92C23×C4×C17C2311yescharacteristic
93C23×Dic17C2312yes—
94C23×Dic17C2311yescharacteristic
95C23×Dic17C2312yes—
96C23×Dic17C2311yescharacteristic
97C23×Dic17C2312yes—
98C17×#117—24no—
99C2×C4⋊C4×C17C2312yes—
100C2×C22⋊C4×C17C2314yes—
101C2×C22⋊C4×C17C2312yes—
102C2×C22⋊C4×C17C2314yes—
103C2×C42×C17—24no—
104C2×C42×C17C2311yescharacteristic
105C2×C42×C17C2311yescharacteristic
106C2×C42×C17C2312yes—
107C2×C42×C17C2312yes—
108C2×C22⋊Dic17C2312yes—
109C2×C22⋊Dic17C2314yes—
110C2×C22⋊Dic17C2314yes—
111C2×C22⋊Dic17C2312yes—
112C2×C22⋊Dic17C2312yes—
113C2×C22⋊Dic17C2312yes—
114Q8×Dic17C2×C418yescomplemented
115Q8×Dic17C2×C418yescomplemented
116D4×Dic17C2×C4116yes—
117D4×Dic17C2×C4116yes—
118D4×Dic17C2×C418yescomplemented
119D4×Dic17C2×C418yescomplemented
120#10587612—24no—
121#10587612C2×C418yes—
122#10587612C2×C4116yescomplemented
123C2×C4⋊Dic17C2312yes—
124C2×C4⋊Dic17C2312yes—
125C2×C4⋊Dic17C2312yes—
126C2×C4⋊Dic17C2311yescharacteristic
127C2×C4⋊Dic17C2311yescharacteristic
128C2×#63225—28no—
129C2×#63225C2312yes—
130C2×#63225C2312yes—
131C2×#63225C2312yes—
132C2×#63225C2314yes—
133C2×#63225C2314yes—
134C2×#63225C2312yes—
135C2×C4×Dic17—24no—
136C2×C4×Dic17C2×C418yes—
137C2×C4×Dic17C2×C4116yescomplemented
138C2×C4×Dic17C2314yes—
139C2×C4×Dic17C2314yes—
140C2×C4×Dic17C2312yes—
141C2×C4×Dic17C2311yescharacteristic
142C2×C4×Dic17C2311yescharacteristic
143C2×C4×Dic17C2312yes—
144C2×C4×Dic17C2314yes—
145C2×C4×Dic17C2314yes—
146C2×C4×Dic17C2311yescharacteristic
147C2×C4×Dic17C2312yes—
148C2×C4×Dic17C2311yescharacteristic
149C2×C4×Dic17C2312yes—
150C2×C4×Dic17C2312yes—
151C2×C4×Dic17C2311yescharacteristic
152C2×C4×Dic17C2311yescharacteristic
153#10587563—216no—
154C17×#95C2314yes—
155C17×#95C2314yes—
156#10587502C2314yes—
157#10587502C2314yes—
158#10587502C2312yes—
159#10587502C2314yes—
160#10587502C2314yes—
161#10587502C2314yes—
162#10587502C2312yes—
163#10587502C2314yes—
164#10587502C2314yes—
165#10587502C2312yes—
166#10587502C2312yes—
167#10587502C2314yes—
168C24×C17C2412yes—
169C24×C17C2411yescharacteristic
170#41×C17—232no—
171C2×Q8×C17—22no—
172C2×Q8×C17—22no—
173C2×Q8×C17C22×C414yes—
174C2×D4×C17—24no—
175C2×D4×C17—24no—
176C2×D4×C17—22no—
177C2×D4×C17—22no—
178C2×D4×C17C22×C418yes—
179C2×D4×C17C22×C414yes—
180C22×C4×C17—24no—
181C22×C4×C17—24no—
182C22×C4×C17—24no—
183C22×C4×C17—24no—
184C22×C4×C17—42no—
185C22×C4×C17C22×C418yes—
186C22×C4×C17C22×C414yes—
187C22×C4×C17#4114yes—
188C22×C4×C17#4114yes—
189C22×C4×C17C2412yes—
190C22×C4×C17C2414yes—
191C22×C4×C17C2412yes—
192C22×C4×C17C2412yes—
193C22×C4×C17C2411yescharacteristic
194C22×C4×C17C2411yescharacteristic
195C22×Dic17—28no—
196C22×Dic17—24no—
197C22×Dic17—24no—
198C22×Dic17—24no—
199C22×Dic17—44no—
200C22×Dic17—42no—
201C22×Dic17—42no—
202C22×Dic17C22×C414yes—
203C22×Dic17C22×C418yes—
204C22×Dic17C22×C414yes—
205C22×Dic17C22×C418yes—
206C22×Dic17C2412yes—
207C22×Dic17C2414yes—
208C22×Dic17C2411yescharacteristic
209C22×Dic17C2412yes—
210C22×Dic17C2412yes—
211C22×Dic17C2411yescharacteristic
212C22×Dic17C2411yescharacteristic
213C22×Dic17C2412yes—
214C22×Dic17C2411yescharacteristic
215C4⋊C4×C17—24no—
216C22⋊C4×C17—24no—
217C22⋊C4×C17—28no—
218C22⋊C4×C17—44no—
219C42×C17—22no—
220C42×C17—24no—
221C42×C17—22no—
222C42×C17—24no—
223C22⋊Dic17—24no—
224C22⋊Dic17—28no—
225C22⋊Dic17—44no—
226C22⋊Dic17C22×C418yes—
227C22⋊Dic17C22×C418yes—
228C22⋊Dic17C22×C418yes—
229C4⋊Dic17—24no—
230C4⋊Dic17C22×C414yes—
231C4⋊Dic17C22×C414yes—
232C4⋊Dic17C22×C418yes—
233C4⋊Dic17C22×C418yes—
234#63225—24no—
235#63225—28no—
236#63225—24no—
237#63225—24no—
238#63225—44no—
239#63225#4118yescomplemented
240C4×Dic17—28no—
241C4×Dic17—22no—
242C4×Dic17—24no—
243C4×Dic17—22no—
244C4×Dic17—24no—
245C4×Dic17—28no—
246C4×Dic17—44no—
247C4×Dic17—44no—
248C4×Dic17C22×C414yes—
249C4×Dic17C22×C414yes—
250C4×Dic17C22×C414yes—
251C4×Dic17C22×C414yes—
252C4×Dic17C22×C418yes—
253C4×Dic17C22×C418yes—
254C4×Dic17C22×C418yes—
255#34121—171nomaximal, Sylow
256C23×C17—22no—
257C23×C17—22no—
258C23×C17—24no—
259C23×C17—22no—
260C23×C17—22no—
261C23×C17—24no—
262C23×C17C23×C414yes—
263C23×C17C23×C412yes—
264C23×C17C2×#4112yes—
265C23×C17C2×#4112yes—
266C23×C17C2511yescharacteristic
267Q8×C17—28no—
268D4×C17—216no—
269D4×C17—28no—
270C2×C4×C17—22no—
271C2×C4×C17—22no—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—216no—
275C2×C4×C17—22no—
276C2×C4×C17—24no—
277C2×C4×C17—24no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—24no—
281C2×C4×C17—48no—
282C2×C4×C17#117116yescomplemented
283C2×C4×C17C23×C414yes—
284C2×C4×C17C23×C412yes—
285C2×C4×C17C23×C412yes—
286C2×C4×C17C2×#4112yes—
287C2×C4×C17C2×#4112yes—
288C2×C4×C17C2×#4112yes—
289C2×C4×C17C2×#4112yes—
290C2×C4×C17C2×#4114yes—
291C2×Dic17—24no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—24no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—28no—
299C2×Dic17—216no—
300C2×Dic17—24no—
301C2×Dic17—24no—
302C2×Dic17—22no—
303C2×Dic17—22no—
304C2×Dic17—22no—
305C2×Dic17—24no—
306C2×Dic17—44no—
307C2×Dic17—48no—
308C2×Dic17—48no—
309C2×Dic17C23×C414yes—
310C2×Dic17C23×C412yes—
311C2×Dic17C23×C414yes—
312C2×Dic17C23×C412yes—
313C2×Dic17C23×C412yes—
314C2×Dic17C23×C412yes—
315C2×Dic17C2×#4114yes—
316C2×Dic17C2×#4114yes—
317C2×C4×#41—171no—
318#2357—172no—
319#2356—172no—
320#2355—172no—
321#2354—172no—
322#2353—174no—
323#2352—174no—
324#2298—172no—
325#2298—172no—
326#2297—171no—
327#2297D1711yescharacteristic
328#2285—171no—
329#2283—172no—
330C4×#117—171no—
331C4×#117—172no—
332C4×#117—171no—
333C2×C4×C4⋊C4—171no—
334C22×C17—22no—
335C22×C17—22no—
336C22×C17—24no—
337C22×C17—24no—
338C22×C17—24no—
339C22×C17—24no—
340C22×C17—24no—
341C22×C17—44no—
342C22×C17—44no—
343C22×C17C2×#11714yes—
344C22×C17C24×C411yescharacteristic
345C22×C17C22×#4112yes—
346C22×C17C22×#4111yescharacteristic
347C22×C17C22×#4111yescharacteristic
348C22×C17#58512yes—
349C4×C17—24no—
350C4×C17—24no—
351C4×C17—42no—
352C4×C17—44no—
353C4×C17C2×#11714yes—
354C4×C17C2×#11714yes—
355Dic17—24no—
356Dic17—22no—
357Dic17—22no—
358Dic17—24no—
359Dic17—22no—
360Dic17—24no—
361Dic17—42no—
362Dic17—44no—
363Dic17C4×#4114yes—
364C22×#41C2×D1711yescharacteristic
365C4×#41—1716no—
366C2×C4×Q8—171no—
367C2×C4×Q8—171no—
368C2×C4×D4—172no—
369C2×C4×D4—172no—
370C2×C4×D4—171no—
371C2×C4×D4—171no—
372C2×#117—171no—
373C2×#117—172no—
374C2×#117—171no—
375C2×#117—174no—
376C2×#117C2×D1711yescharacteristic
377C22×C4⋊C4—172no—
378C22×C42—171no—
379C22×C42—172no—
380C22×C42—171no—
381C22×C42C2×D1711yescharacteristic
382#391—172no—
383#391C2×D1712yes—
384#390—172no—
385#390C2×D1712yes—
386#388—174no—
387#388—174no—
388#388—174no—
389#388—174no—
390#387—174no—
391#387—174no—
392#387—174no—
393#387—174no—
394#386—174no—
395#386C2×D1714yes—
396#384—172no—
397#383—174no—
398#382—172no—
399#382—174no—
400#381—174no—
401#380—172no—
402#380—174no—
403#380—172no—
404C4×C4⋊C4—172no—
405C4×C4⋊C4—172no—
406C4×C4⋊C4—172no—
407C4×C4⋊C4—172no—
408C4×C4⋊C4—172no—
409C4×C4⋊C4—172no—
410C4×C4⋊C4—171no—
411C4×C4⋊C4—171no—
412C4×C4⋊C4—171no—
413C4×C4⋊C4—171no—
414C4×C4⋊C4—172no—
415C4×C4⋊C4—172no—
416C4×C4⋊C4—174no—
417C4×C22⋊C4—174no—
418C4×C22⋊C4—172no—
419C4×C22⋊C4—172no—
420C4×C22⋊C4—174no—
421C4×C22⋊C4—174no—
422C4×C22⋊C4C2×D1712yes—
423C4×C22⋊C4C2×D1712yes—
424#376—172no—
425#376—172no—
426#376—174no—
427C2×#95—172no—
428C43—172no—
429C43—172no—
430C2×C17—24no—
431C2×C17—44no—
432C2×C17C22×#11711yescharacteristic
433C2×C17C2×C4×#4111yescharacteristic
434C2×C17#342811yescharacteristic
435C2×C17#347512yes—
436C2×C17#348012yes—
437C2×#41—24no—
438C2×#41—24no—
439C2×#41C4×D1718yes—
440C22×Q8C22×D1711yescharacteristic
441C22×D4C22×D1712yes—
442C22×D4C22×D1711yescharacteristic
443C23×C4—171no—
444C23×C4—172no—
445C23×C4—171no—
446C23×C4—172no—
447C23×C4—172no—
448C23×C4C22×D1712yes—
449C23×C4C22×D1712yes—
450C23×C4C22×D1711yescharacteristic
451C4×Q8—178no—
452C4×Q8—178no—
453C4×D4—1716no—
454C4×D4—1716no—
455C4×D4—178no—
456C4×D4—178no—
457#117—24no—
458#117—178no—
459#117—1716no—
460#117—3416no—
461#117—344no—
462C2×C4⋊C4—172no—
463C2×C4⋊C4—171no—
464C2×C4⋊C4—171no—
465C2×C4⋊C4—172no—
466C2×C4⋊C4—172no—
467C2×C4⋊C4—172no—
468C2×C4⋊C4—172no—
469C2×C4⋊C4—172no—
470C2×C4⋊C4—174no—
471C2×C4⋊C4—172no—
472C2×C4⋊C4—174no—
473C2×C4⋊C4—348no—
474C2×C4⋊C4C22×D1712yes—
475C2×C22⋊C4—172no—
476C2×C22⋊C4—172no—
477C2×C22⋊C4—172no—
478C2×C22⋊C4—172no—
479C2×C22⋊C4—174no—
480C2×C22⋊C4—174no—
481C2×C22⋊C4C22×D1714yes—
482C2×C22⋊C4C22×D1712yes—
483C2×C22⋊C4C22×D1714yes—
484C2×C42—24no—
485C2×C42—178no—
486C2×C42—1716no—
487C2×C42—172no—
488C2×C42—172no—
489C2×C42—171no—
490C2×C42—171no—
491C2×C42—172no—
492C2×C42—171no—
493C2×C42—171no—
494C2×C42—174no—
495C2×C42—174no—
496C2×C42—172no—
497C2×C42—172no—
498C2×C42—171no—
499C2×C42—171no—
500C2×C42—174no—
501C2×C42—174no—
502C2×C42—344no—
503C2×C42C22×D1712yes—
504C2×C42C22×D1712yes—
505C2×C42C22×D1711yescharacteristic
506C2×C42C22×D1711yescharacteristic
507#95—172no—
508#95—172no—
509#95—172no—
510#95—172no—
511#95—174no—
512#95—174no—
513#95—174no—
514#95—174no—
515#95—174no—
516#95—174no—
517#95—174no—
518#95—174no—
519#95C22×D1714yes—
520#95C22×D1714yes—
521C17#3412111yescharacteristic, complemented, Sylow
522C24C23×D1712yes—
523C24C23×D1711yescharacteristic
524#41—232no—
525C2×Q8—22no—
526C2×Q8—22no—
527C2×Q8C2×C4×D1714yes—
528C2×D4—24no—
529C2×D4—24no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4C2×C4×D1718yes—
533C2×D4C2×C4×D1714yes—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—24no—
538C22×C4—42no—
539C22×C4—171no—
540C22×C4—178no—
541C22×C4—174no—
542C22×C4—171no—
543C22×C4—172no—
544C22×C4—172no—
545C22×C4—172no—
546C22×C4—171no—
547C22×C4—171no—
548C22×C4—178no—
549C22×C4—174no—
550C22×C4—172no—
551C22×C4—174no—
552C22×C4—344no—
553C22×C4—348no—
554C22×C4—344no—
555C22×C4—344no—
556C22×C4—684no—
557C22×C4—682no—
558C22×C4—682no—
559C22×C4C2×C4×D1718yes—
560C22×C4C2×C4×D1714yes—
561C22×C4#6325414yes—
562C22×C4#6325414yes—
563C22×C4C23×D1712yes—
564C22×C4C23×D1714yes—
565C22×C4C23×D1712yes—
566C22×C4C23×D1712yes—
567C22×C4C23×D1711yescharacteristic
568C22×C4C23×D1711yescharacteristic
569C4⋊C4—24no—
570C4⋊C4—178no—
571C4⋊C4—178no—
572C4⋊C4—174no—
573C4⋊C4—174no—
574C4⋊C4—178no—
575C4⋊C4—344no—
576C4⋊C4—344no—
577C4⋊C4—348no—
578C4⋊C4—344no—
579C4⋊C4—344no—
580C4⋊C4—684no—
581C22⋊C4—24no—
582C22⋊C4—28no—
583C22⋊C4—44no—
584C22⋊C4—178no—
585C22⋊C4—178no—
586C22⋊C4—178no—
587C22⋊C4—348no—
588C22⋊C4—344no—
589C22⋊C4—684no—
590C42—22no—
591C42—24no—
592C42—22no—
593C42—24no—
594C42—174no—
595C42—174no—
596C42—178no—
597C42—178no—
598C42—174no—
599C42—178no—
600C42—174no—
601C42—348no—
602C42—342no—
603C42—344no—
604C42—342no—
605C42—344no—
606C42—348no—
607C42—684no—
608C42—684no—
609C23—22no—
610C23—22no—
611C23—24no—
612C23—22no—
613C23—22no—
614C23—24no—
615C23C22×C4×D1714yes—
616C23C22×C4×D1712yes—
617C23C2×#6325412yes—
618C23C2×#6325412yes—
619C23C24×D1711yescharacteristic
620Q8—28no—
621D4—216no—
622D4—28no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—216no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—172no—
636C2×C4—174no—
637C2×C4—172no—
638C2×C4—174no—
639C2×C4—172no—
640C2×C4—174no—
641C2×C4—172no—
642C2×C4—174no—
643C2×C4—348no—
644C2×C4—3416no—
645C2×C4—344no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—344no—
650C2×C4—342no—
651C2×C4—342no—
652C2×C4—344no—
653C2×C4—342no—
654C2×C4—342no—
655C2×C4—344no—
656C2×C4—344no—
657C2×C4—342no—
658C2×C4—684no—
659C2×C4—688no—
660C2×C4—688no—
661C2×C4#10587563116yescomplemented
662C2×C4C22×C4×D1714yes—
663C2×C4C22×C4×D1712yes—
664C2×C4C22×C4×D1712yes—
665C2×C4C2×#6325412yes—
666C2×C4C2×#6325412yes—
667C2×C4C2×#6325412yes—
668C2×C4C2×#6325412yes—
669C2×C4#41×D1714yes—
670C22—24no—
671C22—24no—
672C22—22no—
673C22—22no—
674C22—24no—
675C22—24no—
676C22—24no—
677C22—44no—
678C22—44no—
679C22C2×#1058756314yes—
680C22C23×C4×D1711yescharacteristic
681C22C2×#41×D1712yes—
682C22C22×#6325411yescharacteristic
683C22C22×#6325411yescharacteristic
684C22#1176364512yes—
685C4—24no—
686C4—24no—
687C4—42no—
688C4—44no—
689C4—174no—
690C4—344no—
691C4—344no—
692C4—342no—
693C4—342no—
694C4—344no—
695C4—342no—
696C4—682no—
697C4—684no—
698C4C2×#1058756314yes—
699C4C2×#1058756314yes—
700C2—24no—
701C2—44no—
702C2C22×#1058756311yescharacteristic
703C2C4×#41×D1711yescharacteristic
704C2#1454198311yescharacteristic
705C2#1454234412yes—
706C2#1454238112yes—
subgroupG/H
centerC22×C4C23×D17
commutatorC22×C17C24×C4
FrattiniC23C24×D17
FittingC17×#2297C2
socle, cosocleC23×C17C25
prime radicalC22×#41×C17C22
hypercenter#2297D17
hypocenterC17#34121
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ #2297

Complements

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

NH ≅ G/Ntype
2. #14531756C2semidirect
3. #14531748C2semidirect
4. #14531740C2semidirect
5. #14531732C2semidirect
6. #14531722C2semidirect
7. #14531711C2semidirect
8. #14531280C2semidirect
9. #14531280C2semidirect
11. #14531187C2semidirect
12. #14531178C2semidirect
13. #117×Dic17C2semidirect
14. C4×#10587612C2semidirect
15. C4×#10587563C2semidirect
16. C2×C4×#63225C2semidirect
18. #41×Dic17C4semidirect
114. Q8×Dic17C2×C4semidirect
115. Q8×Dic17C2×C4semidirect
118. D4×Dic17C2×C4semidirect
119. D4×Dic17C2×C4semidirect
122. #10587612C2×C4semidirect
137. C2×C4×Dic17C2×C4semidirect
239. #63225#41semidirect
282. C2×C4×C17#117semidirect
521. C17#34121semidirect
661. C2×C4#10587563semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic172
#145317562
#145317482
#145317402
#145317322
#145317222
#145317112
#145312802
#145312752
#145311872
#145311782
#117×Dic172
C4×#105876122
C4×#105875632
C2×C4×#632252
C17×#22972
#3412117