Finite Group Databasebeta

← #16956217

Subgroups — #16956217

Order 4352.

2590 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic17C211yesmaximal, characteristic
2C22×#10587563C211yesmaximal, characteristic, complemented
3C2×#11762667C212yesmaximal, complemented
4C2×#11762667C211yesmaximal, characteristic, complemented
5#14527031C211yesmaximal, characteristic, complemented
6#14527031C211yesmaximal, characteristic, complemented
7#14527025C211yesmaximal, characteristic
8#14527021C212yesmaximal, complemented
9#14527018C212yesmaximal, complemented
10#14527012C212yesmaximal, complemented
11C17×#1438C211yesmaximal, characteristic
12C24×Dic17C2211yescharacteristic
13C24×Dic17C2211yescharacteristic
14C2×D4×Dic17—24no—
15C2×D4×Dic17—24no—
16C2×D4×Dic17C418yescomplemented
17C2×#10587563—28no—
18C2×#10587563—24no—
19C22×C4⋊Dic17C2211yescharacteristic
20C22×#63225C2212yes—
21C22×#63225C2212yes—
22C22×C22⋊Dic17C2211yescharacteristic
23C22×C22⋊Dic17C2212yes—
24C22×C22⋊Dic17C2211yescharacteristic
25C22×C22⋊Dic17C2211yescharacteristic
26C22×C22⋊Dic17C2211yescharacteristic
27C22×C4×Dic17C2212yes—
28C22×C4×Dic17C2211yescharacteristic
29#11762667—28no—
30#11762667—24no—
31C2×#10587502C2212yes—
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C2×#10587502C2212yes—
35C2×#10587502C2212yes—
36C2×#10587502C2212yes—
37C23×D4×C17C2211yescharacteristic
38C22×C22⋊C4×C17C2211yescharacteristic
39C22×C22⋊C4×C17C2212yes—
40C22×C22⋊C4×C17C2211yescharacteristic
41C2×C17×#95C2212yes—
42C25×C17C2311yescharacteristic
43C25×C17C2311yescharacteristic
44C22×D4×C17—22no—
45C22×D4×C17—22no—
46C22×D4×C17—24no—
47C22×D4×C17—24no—
48C22×D4×C17C2×C414yes—
49C23×C4×C17C2312yes—
50C23×C4×C17C2312yes—
51C23×C4×C17C2311yescharacteristic
52C23×Dic17—24no—
53C23×Dic17—24no—
54C23×Dic17—22no—
55C23×Dic17—22no—
56C23×Dic17—24no—
57C23×Dic17—24no—
58C23×Dic17C2×C414yes—
59C23×Dic17C2×C414yes—
60C23×Dic17D414yes—
61C23×Dic17D414yes—
62C23×Dic17C2312yes—
63C23×Dic17C2311yescharacteristic
64C23×Dic17C2311yescharacteristic
65C23×Dic17C2312yes—
66C23×Dic17C2311yescharacteristic
67C23×Dic17C2311yescharacteristic
68C2×C22⋊C4×C17—22no—
69C2×C22⋊C4×C17—24no—
70C2×C22⋊C4×C17—22no—
71C2×C22⋊C4×C17—24no—
72C2×C22⋊C4×C17—24no—
73C2×C22⋊C4×C17—42no—
74C2×C22⋊C4×C17—42no—
75C2×C22⋊Dic17—22no—
76C2×C22⋊Dic17—22no—
77C2×C22⋊Dic17—22no—
78C2×C22⋊Dic17—24no—
79C2×C22⋊Dic17—22no—
80C2×C22⋊Dic17—22no—
81C2×C22⋊Dic17—22no—
82C2×C22⋊Dic17—24no—
83C2×C22⋊Dic17—24no—
84C2×C22⋊Dic17—42no—
85C2×C22⋊Dic17—42no—
86C2×C22⋊Dic17C2×C414yes—
87C2×C22⋊Dic17C2×C414yes—
88D4×Dic17—232no—
89C2×C4⋊Dic17—22no—
90C2×C4⋊Dic17—22no—
91C2×C4⋊Dic17C2×C414yes—
92C2×#63225—24no—
93C2×#63225—24no—
94C2×#63225—24no—
95C2×#63225—24no—
96C2×#63225—24no—
97C2×#63225D418yescomplemented
98C2×C4×Dic17—24no—
99C2×C4×Dic17—24no—
100C2×C4×Dic17—24no—
101C2×C4×Dic17—22no—
102C2×C4×Dic17—22no—
103C2×C4×Dic17C2×C414yes—
104#10587563—232no—
105C17×#95—24no—
106#10587502—24no—
107#10587502—24no—
108#10587502—24no—
109#10587502—24no—
110#10587502—42no—
111#10587502—42no—
112C24×C17—21no—
113C24×C17—21no—
114C24×C17—22no—
115C24×C17—22no—
116C24×C17—22no—
117C24×C17—22no—
118C24×C17—22no—
119C24×C17—22no—
120C24×C17—22no—
121C24×C17—22no—
122C24×C17—22no—
123C24×C17—22no—
124C24×C17—22no—
125C24×C17C22×C412yes—
126C24×C17C22×C412yes—
127C24×C17C2×D412yes—
128C24×C17C2×D412yes—
129C24×C17#4114yes—
130C24×C17C2411yescharacteristic
131C2×D4×C17—216no—
132C2×D4×C17—216no—
133C2×D4×C17—28no—
134C2×D4×C17—28no—
135C2×D4×C17—28no—
136C22×C4×C17—21no—
137C22×C4×C17—21no—
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×C17—22no—
149C22×C4×C17—22no—
150C22×C4×C17—22no—
151C22×C4×C17—22no—
152C22×C4×C17C22×C412yes—
153C22×C4×C17C2×D414yes—
154C22×C4×C17#4114yes—
155C22×Dic17—22no—
156C22×Dic17—22no—
157C22×Dic17—216no—
158C22×Dic17—28no—
159C22×Dic17—216no—
160C22×Dic17—28no—
161C22×Dic17—22no—
162C22×Dic17—21no—
163C22×Dic17—21no—
164C22×Dic17—22no—
165C22×Dic17—22no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C22×Dic17—22no—
169C22×Dic17—22no—
170C22×Dic17—22no—
171C22×Dic17—22no—
172C22×Dic17—22no—
173C22×Dic17—22no—
174C22×Dic17—22no—
175C22×Dic17—28no—
176C22×Dic17—216no—
177C22×Dic17—22no—
178C22×Dic17—22no—
179C22×Dic17—22no—
180C22×Dic17—22no—
181C22×Dic17—22no—
182C22×Dic17—22no—
183C22×Dic17—22no—
184C22×Dic17—44no—
185C22×Dic17—48no—
186C22×Dic17—44no—
187C22×Dic17C22⋊C4116yescomplemented
188C22×Dic17C22×C412yes—
189C22×Dic17C22×C412yes—
190C22×Dic17C22×C412yes—
191C22×Dic17C22×C412yes—
192C22×Dic17C2×D414yes—
193C22×Dic17C2×D412yes—
194C22×Dic17C2×D412yes—
195C22×Dic17C2×D412yes—
196C22×Dic17C2×D412yes—
197C22×Dic17C2×D414yes—
198C22×Dic17#4114yes—
199C22⋊C4×C17—28no—
200C22⋊C4×C17—48no—
201C22⋊C4×C17—44no—
202C22⋊Dic17—28no—
203C22⋊Dic17—28no—
204C22⋊Dic17—28no—
205C22⋊Dic17—48no—
206C22⋊Dic17—44no—
207C4⋊Dic17—28no—
208#63225—216no—
209#63225—48no—
210C4×Dic17—216no—
211C4×Dic17—28no—
212#13871—171nomaximal, Sylow
213C23×C17—22no—
214C23×C17—22no—
215C23×C17—22no—
216C23×C17—22no—
217C23×C17—24no—
218C23×C17—24no—
219C23×C17—24no—
220C23×C17—24no—
221C23×C17—22no—
222C23×C17—24no—
223C23×C17—22no—
224C23×C17—24no—
225C23×C17—24no—
226C23×C17—24no—
227C23×C17—24no—
228C23×C17—22no—
229C23×C17—22no—
230C23×C17—24no—
231C23×C17—24no—
232C23×C17—24no—
233C23×C17—24no—
234C23×C17—24no—
235C23×C17—41no—
236C23×C17—42no—
237C23×C17—41no—
238C23×C17—41no—
239C23×C17—41no—
240C23×C17—42no—
241C23×C17—42no—
242C23×C17—42no—
243C23×C17—42no—
244C23×C17—42no—
245C23×C17—42no—
246C23×C17—42no—
247C23×C17—42no—
248C23×C17—42no—
249C23×C17—42no—
250C23×C17—42no—
251C23×C17—42no—
252C23×C17—42no—
253C23×C17C2×C22⋊C414yes—
254C23×C17#11714yescomplemented
255C23×C17C23×C411yescharacteristic
256C23×C17C22×D411yescharacteristic
257C23×C17C22×D411yescharacteristic
258C23×C17C22×D412yes—
259C23×C17C2×#4112yes—
260C23×C17C2×#4112yes—
261C23×C17C2×#4112yes—
262C23×C17H(5,𝔽2)12yes—
263C23×C172−1+412yes—
264D4×C17—232no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—24no—
268C2×C4×C17—24no—
269C2×C4×C17—24no—
270C2×C4×C17—24no—
271C2×C4×C17—24no—
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#11714yescomplemented
284C2×Dic17—24no—
285C2×Dic17—22no—
286C2×Dic17—24no—
287C2×Dic17—22no—
288C2×Dic17—232no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—24no—
292C2×Dic17—24no—
293C2×Dic17—24no—
294C2×Dic17—24no—
295C2×Dic17—24no—
296C2×Dic17—41no—
297C2×Dic17—42no—
298C2×Dic17—41no—
299C2×Dic17—42no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—42no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305C2×Dic17—42no—
306C2×Dic17—416no—
307C2×Dic17—42no—
308C2×Dic17—42no—
309C2×Dic17—42no—
310C2×Dic17—42no—
311C2×Dic17—42no—
312C2×Dic17—42no—
313C2×Dic17—42no—
314C2×Dic17C2×C22⋊C414yes—
315C2×Dic17C2×C22⋊C414yes—
316C2×Dic17C4×D418yes—
317C2×Dic17#12014yes—
318C2×Dic17#12118yes—
319C2×Dic17#12314yes—
320C22×C4×D4—171no—
321C22×#117—171no—
322C2×#380—172no—
323C2×#380—171no—
324#1440—171no—
325#1440—171no—
326#1438—171no—
327#1438D1711yescharacteristic
328#1437—172no—
329#1436—172no—
330C4⋊#95—172no—
331C22×C17—24no—
332C22×C17—28no—
333C22×C17—24no—
334C22×C17—24no—
335C22×C17—24no—
336C22×C17—42no—
337C22×C17—44no—
338C22×C17—44no—
339C22×C17—44no—
340C22×C17—44no—
341C22×C17—44no—
342C22×C17—44no—
343C22×C17—44no—
344C22×C17—44no—
345C22×C17—44no—
346C22×C17—44no—
347C22×C17—44no—
348C22×C17—42no—
349C22×C17C22×C22⋊C411yescharacteristic
350C22×C17C2×#11711yescharacteristic
351C22×C17C2×#11711yescharacteristic
352C22×C17C2×C4×D412yes—
353C22×C17#52012yes—
354C22×C17C2×#12011yescharacteristic
355C22×C17C2×#12112yes—
356C22×C17C2×#12311yescharacteristic
357C22×C17#52512yes—
358C22×C17#52512yes—
359C22×C17#53511yescharacteristic
360C22×C17#53611yescharacteristic
361C22×C17#53712yes—
362C22×C17#54612yes—
363C22×C17#54712yes—
364C22×C17#54812yes—
365C22×C17#55012yes—
366C22×C17#55212yes—
367C22×C17#55312yes—
368C22×C17#55512yes—
369C22×C17#55612yes—
370C4×C17—24no—
371C4×C17—44no—
372C4×C17—82no—
373Dic17—24no—
374Dic17—42no—
375Dic17—44no—
376Dic17—42no—
377Dic17—82no—
378Dic17#38618yes—
379C23×D4C2×D1711yescharacteristic
380C24×C4—171no—
381C24×C4—171no—
382C2×C4×D4—178no—
383C2×C4×D4—344no—
384C2×C4×D4—344no—
385C2×#117—348no—
386C2×#117—344no—
387C22×C4⋊C4—172no—
388C22×C4⋊C4—171no—
389C22×C4⋊C4—172no—
390C22×C22⋊C4—171no—
391C22×C22⋊C4—171no—
392C22×C22⋊C4—171no—
393C22×C22⋊C4—172no—
394C22×C22⋊C4—171no—
395C22×C22⋊C4C2×D1711yescharacteristic
396C22×C22⋊C4C2×D1712yes—
397C22×C22⋊C4C2×D1711yescharacteristic
398C22×C42—171no—
399C22×C42—172no—
400#380—348no—
401#380—344no—
402C2×#95—172no—
403C2×#95—172no—
404C2×#95—172no—
405C2×#95—172no—
406C2×#95—172no—
407C2×#95—172no—
408C2×#95C2×D1712yes—
409C2×C17—44no—
410C2×C17—44no—
411C2×C17#228011yescharacteristic
412C2×C17C2×#38611yescharacteristic
413C2×C17#231111yescharacteristic
414C2×C17#235212yes—
415C2×C17#235412yes—
416C2×C17#240712yes—
417C2×C17#241412yes—
418C2×C17#241512yes—
419C2×C17#248512yes—
420C25C22×D1711yescharacteristic
421C25C22×D1711yescharacteristic
422C22×D4—22no—
423C22×D4—22no—
424C22×D4—24no—
425C22×D4—24no—
426C22×D4C4×D1714yes—
427C23×C4—171no—
428C23×C4—174no—
429C23×C4—174no—
430C23×C4—174no—
431C23×C4—171no—
432C23×C4—174no—
433C23×C4—172no—
434C23×C4—171no—
435C23×C4—171no—
436C23×C4—172no—
437C23×C4—344no—
438C23×C4—344no—
439C23×C4—342no—
440C23×C4—342no—
441C23×C4—344no—
442C23×C4—344no—
443C23×C4C22×D1712yes—
444C23×C4C22×D1712yes—
445C23×C4C22×D1711yescharacteristic
446C4×D4—3432no—
447#117—3432no—
448C2×C4⋊C4—174no—
449C2×C4⋊C4—178no—
450C2×C4⋊C4—344no—
451C2×C4⋊C4—344no—
452C2×C4⋊C4—342no—
453C2×C4⋊C4—342no—
454C2×C4⋊C4—344no—
455C2×C4⋊C4—344no—
456C2×C4⋊C4—344no—
457C2×C22⋊C4—22no—
458C2×C22⋊C4—24no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—24no—
462C2×C22⋊C4—42no—
463C2×C22⋊C4—42no—
464C2×C22⋊C4—174no—
465C2×C22⋊C4—174no—
466C2×C22⋊C4—344no—
467C2×C22⋊C4—342no—
468C2×C22⋊C4—342no—
469C2×C22⋊C4—342no—
470C2×C22⋊C4—342no—
471C2×C22⋊C4—342no—
472C2×C22⋊C4—344no—
473C2×C22⋊C4—342no—
474C2×C22⋊C4—344no—
475C2×C22⋊C4—682no—
476C2×C22⋊C4—682no—
477C2×C42—174no—
478C2×C42—344no—
479C2×C42—344no—
480C2×C42—342no—
481C2×C42—342no—
482C2×C42—344no—
483#95—24no—
484#95—344no—
485#95—344no—
486#95—344no—
487#95—344no—
488#95—682no—
489#95—682no—
490C17#1387111yescharacteristic, complemented, Sylow
491C24—22no—
492C24—22no—
493C24—21no—
494C24—21no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—22no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—22no—
503C24—22no—
504C24C2×C4×D1712yes—
505C24C2×C4×D1712yes—
506C24D4×D1712yes—
507C24D4×D1712yes—
508C24#6325414yes—
509C24C23×D1711yescharacteristic
510C2×D4—216no—
511C2×D4—216no—
512C2×D4—28no—
513C2×D4—28no—
514C2×D4—28no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—172no—
532C22×C4—172no—
533C22×C4—172no—
534C22×C4—174no—
535C22×C4—174no—
536C22×C4—172no—
537C22×C4—172no—
538C22×C4—172no—
539C22×C4—1716no—
540C22×C4—172no—
541C22×C4—172no—
542C22×C4—174no—
543C22×C4—348no—
544C22×C4—3416no—
545C22×C4—3416no—
546C22×C4—348no—
547C22×C4—348no—
548C22×C4—3416no—
549C22×C4—342no—
550C22×C4—342no—
551C22×C4—342no—
552C22×C4—341no—
553C22×C4—341no—
554C22×C4—342no—
555C22×C4—342no—
556C22×C4—341no—
557C22×C4—341no—
558C22×C4—342no—
559C22×C4—342no—
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—684no—
573C22×C4—688no—
574C22×C4—684no—
575C22×C4C2×C4×D1712yes—
576C22×C4D4×D1714yes—
577C22×C4#6325414yes—
578C4⋊C4—3416no—
579C4⋊C4—348no—
580C4⋊C4—688no—
581C22⋊C4—28no—
582C22⋊C4—48no—
583C22⋊C4—44no—
584C22⋊C4—348no—
585C22⋊C4—348no—
586C22⋊C4—348no—
587C22⋊C4—688no—
588C22⋊C4—684no—
589C42—348no—
590C42—3416no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—22no—
603C23—24no—
604C23—22no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—22no—
610C23—22no—
611C23—24no—
612C23—24no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—41no—
625C23—42no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—42no—
631C23#1058756314yescomplemented
632C23C22⋊C4×D1714yes—
633C23C22×C4×D1711yescharacteristic
634C23C2×D4×D1712yes—
635C23C2×D4×D1711yescharacteristic
636C23C2×D4×D1711yescharacteristic
637C23C2×#6325412yes—
638C23C2×#6325412yes—
639C23#1058769112yes—
640C23#41×D1712yes—
641C23#1058769712yes—
642D4—232no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—174no—
662C2×C4—178no—
663C2×C4—174no—
664C2×C4—178no—
665C2×C4—174no—
666C2×C4—174no—
667C2×C4—3432no—
668C2×C4—344no—
669C2×C4—342no—
670C2×C4—344no—
671C2×C4—342no—
672C2×C4—344no—
673C2×C4—342no—
674C2×C4—342no—
675C2×C4—344no—
676C2×C4—344no—
677C2×C4—344no—
678C2×C4—344no—
679C2×C4—6816no—
680C2×C4—682no—
681C2×C4—682no—
682C2×C4—681no—
683C2×C4—682no—
684C2×C4—681no—
685C2×C4—682no—
686C2×C4—681no—
687C2×C4—681no—
688C2×C4—682no—
689C2×C4—682no—
690C2×C4—682no—
691C2×C4—682no—
692C2×C4—682no—
693C2×C4—682no—
694C2×C4—682no—
695C2×C4—682no—
696C2×C4—682no—
697C2×C4#1058756314yescomplemented
698C22—24no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—28no—
703C22—44no—
704C22—44no—
705C22—42no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—42no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22C2×C22⋊C4×D1711yescharacteristic
717C22C2×#1058756311yescharacteristic
718C22C2×#1058756311yescharacteristic
719C22C4×D4×D1712yes—
720C22#1176328812yes—
721C22#120×D1711yescharacteristic
722C22#121×D1712yes—
723C22#123×D1711yescharacteristic
724C22#1176331512yes—
725C22#1176331512yes—
726C22#1176337411yescharacteristic
727C22#1176338111yescharacteristic
728C22#1176338612yes—
729C22#1176344612yes—
730C22#1176345912yes—
731C22#1176346512yes—
732C22#1176347912yes—
733C22#1176349612yes—
734C22#1176350212yes—
735C22#1176352312yes—
736C22#1176352812yes—
737C4—24no—
738C4—44no—
739C4—82no—
740C4—178no—
741C4—344no—
742C4—684no—
743C4—682no—
744C4—682no—
745C4—1362no—
746C2—44no—
747C2—44no—
748C2#1453116211yescharacteristic
749C2D17×#38611yescharacteristic
750C2#1453137111yescharacteristic
751C2#1453171112yes—
752C2#1453173212yes—
753C2#1453212212yes—
754C2#1453219512yes—
755C2#1453220612yes—
756C2#1453307412yes—
subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC17×#1438C2
socle, cosocleC24×C17C24
prime radicalC23×D4×C17C22
hypercenter#1438D17
hypocenterC17#13871
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1438

Complements

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

NH ≅ G/Ntype
2. C22×#10587563C2semidirect
3. C2×#11762667C2semidirect
4. C2×#11762667C2semidirect
5. #14527031C2semidirect
6. #14527031C2semidirect
8. #14527021C2semidirect
9. #14527018C2semidirect
10. #14527012C2semidirect
16. C2×D4×Dic17C4semidirect
97. C2×#63225D4semidirect
187. C22×Dic17C22⋊C4semidirect
254. C23×C17#117semidirect
283. C2×C4×C17#117semidirect
490. C17#13871semidirect
631. C23#10587563semidirect
697. C2×C4#10587563semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic172
C22×#105875632
C2×#117626672
#145270312
#145270252
#145270212
#145270182
#145270122
C17×#14382
#1387117