Finite Group Databasebeta

← #16965364

Subgroups — #16965364

Order 4352.

1854 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#10587571C211yesmaximal, characteristic
2C2×#11762674C211yesmaximal, characteristic, complemented
3C2×#11762673C211yesmaximal, characteristic, complemented
4#14527054C212yesmaximal, complemented
5#14527030C211yesmaximal, characteristic, complemented
6#14527029C211yesmaximal, characteristic, complemented
7#14527028C212yesmaximal, complemented
8#14527027C212yesmaximal, complemented
9#14527026C211yesmaximal, characteristic, complemented
10#14527023C212yesmaximal
11C17×#1439C211yesmaximal, characteristic, complemented
12C23×Dic34C2211yescharacteristic
13C23×C22⋊D17C2211yescharacteristic
14C2×#10587571—24no—
15C2×#10587571—24no—
16C2×#10587571C418yescomplemented
17C22×C4⋊Dic17C2211yescharacteristic
18C22×#63225C2212yes—
19C22×C22⋊Dic17C2211yescharacteristic
20C22×C22⋊Dic17C2212yes—
21C22×#63227C2211yescharacteristic
22C22×#63227C2211yescharacteristic
23C22×#63227C2212yes—
24C22×#63227C2212yes—
25C22×C4×Dic17C2211yescharacteristic
26#11762674—24no—
27#11762673—24no—
28C2×#10587502C2212yes—
29C2×#10587502C2212yes—
30C2×#10587502C2211yescharacteristic
31C2×#10587502C2212yes—
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C2×#10587502C2212yes—
35C22×C4⋊C4×C17C2211yescharacteristic
36C22×C22⋊C4×C17C2211yescharacteristic
37C22×C22⋊C4×C17C2212yes—
38C2×C17×#95C2211yescharacteristic
39C2×C17×#95C2212yes—
40C25×C17C2311yescharacteristic
41C24×D17C2311yescharacteristic
42C23×C4×C17C2312yes—
43C23×C4×C17C2312yes—
44C23×C4×C17C2311yescharacteristic
45C23×C4×C17C2311yescharacteristic
46C22×C22⋊D17—22no—
47C22×C22⋊D17—22no—
48C22×C22⋊D17—42no—
49C22×C22⋊D17—42no—
50C22×C22⋊D17C2×C414yes—
51C23×Dic17C2312yes—
52C23×Dic17C2312yes—
53C23×Dic17C2311yescharacteristic
54C23×Dic17C2311yescharacteristic
55C23×Dic17C2311yescharacteristic
56C22×Dic34—22no—
57C22×Dic34—22no—
58C22×Dic34—42no—
59C22×Dic34—42no—
60C22×Dic34C2×C414yes—
61C2×C4⋊C4×C17—22no—
62C2×C4⋊C4×C17—42no—
63C2×C22⋊C4×C17—22no—
64C2×C22⋊C4×C17—22no—
65C2×C22⋊C4×C17—42no—
66C2×C22⋊C4×C17—42no—
67C2×C22⋊C4×C17—42no—
68C2×C22⋊C4×C17C2×C414yes—
69C2×C22⋊Dic17—22no—
70C2×C22⋊Dic17—22no—
71C2×C22⋊Dic17—42no—
72C2×C22⋊Dic17—42no—
73C2×C22⋊Dic17—42no—
74C2×C22⋊Dic17C2×C414yes—
75C2×#63227—22no—
76C2×#63227—22no—
77C2×#63227—22no—
78C2×#63227—22no—
79C2×#63227—42no—
80C2×#63227—42no—
81C2×#63227—42no—
82C2×#63227—42no—
83C2×#63227—42no—
84C2×#63227—42no—
85C2×#63227C2×C414yes—
86C2×#63227C2×C414yes—
87C2×C4⋊Dic17—22no—
88C2×C4⋊Dic17—42no—
89C2×#63225—24no—
90C2×#63225—42no—
91C2×#63225—42no—
92C2×C4×Dic17C2×C414yes—
93C2×C4×Dic17D414yes—
94C2×C4×Dic17D414yes—
95#10587571—232no—
96C17×#95—22no—
97C17×#95—42no—
98#10587502—22no—
99#10587502—24no—
100#10587502—24no—
101#10587502—24no—
102#10587502—42no—
103#10587502—42no—
104#10587502—42no—
105C24×C17—21no—
106C24×C17—21no—
107C24×C17—22no—
108C24×C17—22no—
109C24×C17—21no—
110C24×C17—22no—
111C24×C17—21no—
112C24×C17—21no—
113C24×C17—22no—
114C24×C17—21no—
115C24×C17C22×C412yes—
116C24×C17C2411yescharacteristic
117C23×D17—21no—
118C23×D17—21no—
119C23×D17—22no—
120C23×D17—22no—
121C23×D17—22no—
122C23×D17—21no—
123C23×D17—21no—
124C23×D17—21no—
125C23×D17—22no—
126C23×D17—21no—
127C23×D17C22×C412yes—
128C22×C4×C17—22no—
129C22×C4×C17—22no—
130C22×C4×C17—21no—
131C22×C4×C17—21no—
132C22×C4×C17—22no—
133C22×C4×C17—22no—
134C22×C4×C17—22no—
135C22×C4×C17—22no—
136C22×C4×C17—22no—
137C22×C4×C17—22no—
138C22×C4×C17—22no—
139C22×C4×C17—22no—
140C22×C4×C17—22no—
141C22×C4×C17—22no—
142C22×C4×C17—22no—
143C22×C4×C17—22no—
144C22×C4×C17—22no—
145C22×C4×C17—22no—
146C22×C4×C17—22no—
147C22×C4×C17—22no—
148C22×C4×C17C22×C412yes—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C2×D412yes—
151C22×C4×C17C2×D412yes—
152C2×C22⋊D17—28no—
153C2×C22⋊D17—48no—
154C2×C22⋊D17—44no—
155C2×C22⋊D17—48no—
156C2×C22⋊D17—44no—
157C22×Dic17—22no—
158C22×Dic17—22no—
159C22×Dic17—21no—
160C22×Dic17—21no—
161C22×Dic17—21no—
162C22×Dic17—21no—
163C22×Dic17—21no—
164C22×Dic17—21no—
165C22×Dic17—22no—
166C22×Dic17—22no—
167C22×Dic17—22no—
168C22×Dic17—22no—
169C22×Dic17—22no—
170C22×Dic17—22no—
171C22×Dic17—22no—
172C22×Dic17—22no—
173C22×Dic17—22no—
174C22×Dic17—22no—
175C22×Dic17—22no—
176C22×Dic17—22no—
177C22×Dic17—22no—
178C22×Dic17—22no—
179C22×Dic17—22no—
180C22×Dic17—22no—
181C22×Dic17C22×C412yes—
182C22×Dic17C22×C412yes—
183C22×Dic17C22×C412yes—
184C22×Dic17C2×D412yes—
185C22×Dic17C2×D412yes—
186C22×Dic17C2×D412yes—
187C22×Dic17C2×D412yes—
188C2×Dic34—28no—
189C2×Dic34—48no—
190C2×Dic34—44no—
191C2×Dic34—48no—
192C2×Dic34—44no—
193C4⋊C4×C17—44no—
194C22⋊C4×C17—28no—
195C22⋊C4×C17—48no—
196C22⋊Dic17—28no—
197C22⋊Dic17—48no—
198#63227—28no—
199#63227—28no—
200#63227—48no—
201#63227—48no—
202C4⋊Dic17—44no—
203#63225—48no—
204C4×Dic17C22⋊C4116yescomplemented
205#14662—171nomaximal, Sylow
206C23×C17—22no—
207C23×C17—24no—
208C23×C17—24no—
209C23×C17—22no—
210C23×C17—22no—
211C23×C17—41no—
212C23×C17—42no—
213C23×C17—41no—
214C23×C17—41no—
215C23×C17—41no—
216C23×C17—41no—
217C23×C17—41no—
218C23×C17—42no—
219C23×C17—41no—
220C23×C17—41no—
221C23×C17—42no—
222C23×C17—42no—
223C23×C17—42no—
224C23×C17—42no—
225C23×C17—42no—
226C23×C17—42no—
227C23×C17—42no—
228C23×C17—42no—
229C23×C17C23×C411yescharacteristic
230C23×C17C22×D411yescharacteristic
231C23×C17C22×D411yescharacteristic
232C23×C17H(5,𝔽2)12yes—
233C23×C17H(5,𝔽2)12yes—
234C23×C17H(5,𝔽2)11yescharacteristic
235C23×C17H(5,𝔽2)12yes—
236C23×C17H(5,𝔽2)11yescharacteristic
237C23×C172−1+411yescharacteristic
238C23×C172−1+412yes—
239C23×C172−1+411yescharacteristic
240C22×D17—22no—
241C22×D17—24no—
242C22×D17—24no—
243C22×D17—22no—
244C22×D17—22no—
245C22×D17—41no—
246C22×D17—42no—
247C22×D17—41no—
248C22×D17—41no—
249C22×D17—41no—
250C22×D17—41no—
251C22×D17—41no—
252C22×D17—42no—
253C22×D17—41no—
254C22×D17—41no—
255C22×D17—42no—
256C22×D17—42no—
257C22×D17—42no—
258C22×D17—42no—
259C22×D17—42no—
260C22×D17—42no—
261C22×D17—42no—
262C22×D17—42no—
263C2×C4×C17—24no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—24no—
267C2×C4×C17—22no—
268C2×C4×C17—24no—
269C2×C4×C17—41no—
270C2×C4×C17—42no—
271C2×C4×C17—41no—
272C2×C4×C17—42no—
273C2×C4×C17—42no—
274C2×C4×C17—42no—
275C2×C4×C17—42no—
276C2×C4×C17—42no—
277C2×C4×C17—42no—
278C2×C4×C17—42no—
279C2×C4×C17—42no—
280C2×C4×C17—42no—
281C2×C4×C17—42no—
282C2×C4×C17—42no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17—42no—
286C2×C4×C17C2×C22⋊C414yes—
287C22⋊D17—416no—
288C2×Dic17—24no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—24no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—24no—
300C2×Dic17—41no—
301C2×Dic17—42no—
302C2×Dic17—41no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305C2×Dic17—42no—
306C2×Dic17—42no—
307C2×Dic17—42no—
308C2×Dic17—42no—
309C2×Dic17—42no—
310C2×Dic17—42no—
311C2×Dic17—42no—
312C2×Dic17—42no—
313C2×Dic17—42no—
314C2×Dic17—42no—
315C2×Dic17—42no—
316C2×Dic17—42no—
317C2×Dic17C2×C22⋊C414yes—
318C2×Dic17C2×C22⋊C414yes—
319Dic34—416no—
320C22×#124—171no—
321C2×#382—171no—
322C2×#382—171no—
323#1446—172no—
324#1439—172no—
325#1439—171no—
326#1439—171no—
327#1439—172no—
328#1439—171no—
329#1439D1711yescharacteristic, complemented
330#1438—172no—
331C22×C17—42no—
332C22×C17—42no—
333C22×C17—42no—
334C22×C17—44no—
335C22×C17—44no—
336C22×C17—82no—
337C22×C17—81no—
338C22×C17—81no—
339C22×C17—82no—
340C22×C17—81no—
341C22×C17—81no—
342C22×C17C22×C22⋊C411yescharacteristic
343C22×C17#51812yes—
344C22×C17#52012yes—
345C22×C17#52011yescharacteristic
346C22×C17#52011yescharacteristic
347C22×C17#53511yescharacteristic
348C22×C17#53511yescharacteristic
349C22×C17#53511yescharacteristic
350C22×C17#53512yes—
351C22×C17#53511yescharacteristic
352C22×C17#53611yescharacteristic
353C22×C17#53611yescharacteristic
354C22×C17#53712yes—
355C22×C17#53711yescharacteristic
356C22×C17#53711yescharacteristic
357C22×C17H(3,𝔽4)12yes—
358C22×C17H(3,𝔽4)12yes—
359C22×C17#56212yes—
360C22×C17#56212yes—
361C22×C17#56212yes—
362C22×C17#56212yes—
363C22×C17#56312yes—
364C22×C17#56312yes—
365C2×D17—42no—
366C2×D17—42no—
367C2×D17—42no—
368C2×D17—44no—
369C2×D17—44no—
370C2×D17—82no—
371C2×D17—81no—
372C2×D17—81no—
373C2×D17—82no—
374C2×D17—81no—
375C2×D17—81no—
376C4×C17—24no—
377C4×C17—42no—
378C4×C17—82no—
379C4×C17—82no—
380Dic17—24no—
381Dic17—24no—
382Dic17—42no—
383Dic17—82no—
384Dic17—82no—
385C23×Q8—171no—
386C23×D4—171no—
387C2×#124—178no—
388C2×#124—344no—
389C2×#124—344no—
390C22×C4⋊C4—172no—
391C22×C4⋊C4—171no—
392C22×C4⋊C4C2×D1711yescharacteristic
393C22×C22⋊C4—171no—
394C22×C22⋊C4—171no—
395C22×C22⋊C4—171no—
396C22×C22⋊C4—172no—
397C22×C22⋊C4—172no—
398C22×C22⋊C4—172no—
399C22×C22⋊C4C2×D1711yescharacteristic
400C22×C22⋊C4C2×D1712yes—
401C22×C42—171no—
402#382—344no—
403#382—344no—
404C2×#95—172no—
405C2×#95—172no—
406C2×#95—172no—
407C2×#95—171no—
408C2×#95—172no—
409C2×#95—172no—
410C2×#95—172no—
411C2×#95C2×D1711yescharacteristic
412C2×#95C2×D1712yes—
413C2×C17—82no—
414C2×C17#230911yescharacteristic
415C2×C17#231111yescharacteristic
416C2×C17#231111yescharacteristic
417C2×C17#237912yes—
418C2×C17#237912yes—
419C2×C17#281912yes—
420C2×C17#281911yescharacteristic
421C2×C17#281911yescharacteristic
422C2×C17#282012yes—
423C2×C17#282011yescharacteristic
424C2×C17#282011yescharacteristic
425D17—82no—
426C25—171no—
427C25C22×D1711yescharacteristic
428C22×Q8—174no—
429C22×Q8—342no—
430C22×Q8—342no—
431C22×Q8—682no—
432C22×Q8—682no—
433C22×D4—174no—
434C22×D4—342no—
435C22×D4—342no—
436C22×D4—682no—
437C22×D4—682no—
438C23×C4—171no—
439C23×C4—171no—
440C23×C4—171no—
441C23×C4—172no—
442C23×C4—172no—
443C23×C4C22×D1712yes—
444C23×C4C22×D1712yes—
445C23×C4C22×D1711yescharacteristic
446C23×C4C22×D1711yescharacteristic
447#124—3432no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—42no—
450C2×C4⋊C4—344no—
451C2×C4⋊C4—342no—
452C2×C4⋊C4—682no—
453C2×C4⋊C4—682no—
454C2×C4⋊C4—682no—
455C2×C22⋊C4—22no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4—42no—
458C2×C22⋊C4—42no—
459C2×C22⋊C4—42no—
460C2×C22⋊C4—174no—
461C2×C22⋊C4—174no—
462C2×C22⋊C4—174no—
463C2×C22⋊C4—342no—
464C2×C22⋊C4—342no—
465C2×C22⋊C4—342no—
466C2×C22⋊C4—342no—
467C2×C22⋊C4—342no—
468C2×C22⋊C4—342no—
469C2×C22⋊C4—682no—
470C2×C22⋊C4—682no—
471C2×C22⋊C4—682no—
472C2×C22⋊C4—682no—
473C2×C22⋊C4—682no—
474C2×C22⋊C4—682no—
475C2×C22⋊C4—682no—
476C2×C22⋊C4—682no—
477C2×C22⋊C4—682no—
478C2×C22⋊C4C4×D1714yes—
479C2×C42—174no—
480C2×C42—174no—
481C2×C42—174no—
482#95—22no—
483#95—42no—
484#95—344no—
485#95—344no—
486#95—344no—
487#95—342no—
488#95—682no—
489#95—682no—
490#95—682no—
491C17#1466211yescharacteristic, complemented, Sylow
492C24—21no—
493C24—21no—
494C24—21no—
495C24—22no—
496C24—22no—
497C24—21no—
498C24—21no—
499C24—22no—
500C24—22no—
501C24—21no—
502C24—172no—
503C24—341no—
504C24—341no—
505C24—342no—
506C24—341no—
507C24—342no—
508C24—341no—
509C24—341no—
510C24—342no—
511C24—342no—
512C24—341no—
513C24C2×C4×D1712yes—
514C24C23×D1711yescharacteristic
515C2×Q8—348no—
516C2×Q8—688no—
517C2×Q8—684no—
518C2×Q8—688no—
519C2×Q8—684no—
520C2×D4—348no—
521C2×D4—688no—
522C2×D4—684no—
523C2×D4—688no—
524C2×D4—684no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—172no—
546C22×C4—172no—
547C22×C4—172no—
548C22×C4—172no—
549C22×C4—172no—
550C22×C4—172no—
551C22×C4—172no—
552C22×C4—341no—
553C22×C4—342no—
554C22×C4—341no—
555C22×C4—341no—
556C22×C4—342no—
557C22×C4—341no—
558C22×C4—341no—
559C22×C4—341no—
560C22×C4—342no—
561C22×C4—342no—
562C22×C4—342no—
563C22×C4—342no—
564C22×C4—342no—
565C22×C4—342no—
566C22×C4—342no—
567C22×C4—342no—
568C22×C4—342no—
569C22×C4—342no—
570C22×C4—342no—
571C22×C4—342no—
572C22×C4—342no—
573C22×C4—342no—
574C22×C4—342no—
575C22×C4—342no—
576C22×C4C2×C4×D1712yes—
577C22×C4C2×C4×D1712yes—
578C22×C4D4×D1712yes—
579C22×C4D4×D1712yes—
580C4⋊C4—44no—
581C4⋊C4—684no—
582C4⋊C4—688no—
583C22⋊C4—28no—
584C22⋊C4—48no—
585C22⋊C4—348no—
586C22⋊C4—348no—
587C22⋊C4—348no—
588C22⋊C4—688no—
589C22⋊C4—688no—
590C22⋊C4—688no—
591C42—1716no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—22no—
596C23—22no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—42no—
613C23—41no—
614C23—41no—
615C23—342no—
616C23—344no—
617C23—344no—
618C23—342no—
619C23—342no—
620C23—682no—
621C23—682no—
622C23—682no—
623C23—682no—
624C23—682no—
625C23—682no—
626C23—682no—
627C23—682no—
628C23—681no—
629C23—681no—
630C23—682no—
631C23—681no—
632C23—681no—
633C23—681no—
634C23—681no—
635C23—682no—
636C23—681no—
637C23—681no—
638C23C22×C4×D1711yescharacteristic
639C23C2×D4×D1711yescharacteristic
640C23C2×D4×D1711yescharacteristic
641C23#1058769112yes—
642C23#1058769112yes—
643C23#1058769111yescharacteristic
644C23#1058769411yescharacteristic
645C23#1058769612yes—
646C23#1058769611yescharacteristic
647C23#1058769712yes—
648C23#1058769711yescharacteristic
649Q8—6816no—
650D4—6816no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—174no—
675C2×C4—174no—
676C2×C4—344no—
677C2×C4—342no—
678C2×C4—342no—
679C2×C4—342no—
680C2×C4—342no—
681C2×C4—344no—
682C2×C4—342no—
683C2×C4—342no—
684C2×C4—342no—
685C2×C4—342no—
686C2×C4—342no—
687C2×C4—344no—
688C2×C4—681no—
689C2×C4—682no—
690C2×C4—681no—
691C2×C4—682no—
692C2×C4—682no—
693C2×C4—682no—
694C2×C4—682no—
695C2×C4—682no—
696C2×C4—682no—
697C2×C4—682no—
698C2×C4—682no—
699C2×C4—682no—
700C2×C4—682no—
701C2×C4—682no—
702C2×C4—682no—
703C2×C4—682no—
704C2×C4—682no—
705C2×C4C22⋊C4×D1714yes—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—44no—
710C22—44no—
711C22—82no—
712C22—81no—
713C22—81no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—682no—
718C22—682no—
719C22—682no—
720C22—684no—
721C22—684no—
722C22—1362no—
723C22—1361no—
724C22—1361no—
725C22—1362no—
726C22—1361no—
727C22—1361no—
728C22C2×C22⋊C4×D1711yescharacteristic
729C22#1176328112yes—
730C22#1176328812yes—
731C22#1176328911yescharacteristic
732C22#1176329011yescharacteristic
733C22#1176337211yescharacteristic
734C22#1176337411yescharacteristic
735C22#1176337512yes—
736C22#1176337511yescharacteristic
737C22#1176337711yescharacteristic
738C22#1176338111yescharacteristic
739C22#1176338211yescharacteristic
740C22#1176338612yes—
741C22#1176338811yescharacteristic
742C22#1176338911yescharacteristic
743C22#1176355112yes—
744C22#1176355212yes—
745C22#1176355412yes—
746C22#1176355512yes—
747C22#1176355612yes—
748C22#1176355612yes—
749C22#1176356012yes—
750C22#1176356112yes—
751C4—24no—
752C4—42no—
753C4—82no—
754C4—82no—
755C4—344no—
756C4—344no—
757C4—682no—
758C4—1362no—
759C4—1362no—
760C2—82no—
761C2—1362no—
762C2#1453136311yescharacteristic
763C2#1453137111yescharacteristic
764C2#1453137311yescharacteristic
765C2#1453195312yes—
766C2#1453195712yes—
767C2#1453682812yes—
768C2#1453683111yescharacteristic
769C2#1453683211yescharacteristic
770C2#1453683312yes—
771C2#1453683811yescharacteristic
772C2#1453684011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC17×#1439C2
socle, cosocleC24×C17C24
prime radicalC23×C22⋊D17C22
hypercenter#1439D17
hypocenterC17#14662
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
2. C2×#11762674C2semidirect
3. C2×#11762673C2semidirect
4. #14527054C2semidirect
5. #14527030C2semidirect
6. #14527029C2semidirect
7. #14527028C2semidirect
8. #14527027C2semidirect
9. #14527026C2semidirect
11. C17×#1439C2semidirect
16. C2×#10587571C4semidirect
204. C4×Dic17C22⋊C4semidirect
329. #1439D17semidirect
491. C17#14662semidirect

Maximal subgroups

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

subgroupindex
C22×#105875712
C2×#117626742
C2×#117626732
#145270542
#145270302
#145270292
#145270282
#145270272
#145270262
#145270232
C17×#14392
#1466217