Finite Group Databasebeta

← #16962247

Subgroups — #16962247

Order 4352.

2118 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762712C211yesmaximal, characteristic
2C2×#11762689C211yesmaximal, characteristic
3C2×#11762684C212yesmaximal, complemented
4C2×#11762669C212yesmaximal, complemented
5#14527049C212yesmaximal, complemented
6#14527029C212yesmaximal, complemented
7#14527029C212yesmaximal, complemented
8#14527018C212yesmaximal, complemented
9C2×C17×#386C211yesmaximal, characteristic
10C24×Dic17C2211yescharacteristic
11C22×C4⋊Dic17C2212yes—
12C22×C4⋊Dic17C2212yes—
13C22×C4⋊Dic17C2212yes—
14C22×C4⋊Dic17C2211yescharacteristic
15C22×C22⋊Dic17C2212yes—
16C22×C22⋊Dic17C2212yes—
17C22×C22⋊Dic17C2212yes—
18C22×C22⋊Dic17C2211yescharacteristic
19C22×C4×Dic17C2211yescharacteristic
20#11762712—24no—
21#11762689—24no—
22#11762684—28no—
23#11762669—28no—
24C2×#10587502C2212yes—
25C2×#10587502C2212yes—
26C2×#10587502C2212yes—
27C2×#10587502C2212yes—
28C2×#10587502C2212yes—
29C2×#10587502C2212yes—
30C23×D4×C17C2211yescharacteristic
31C24×C4×C17C2211yescharacteristic
32C22×C22⋊C4×C17C2212yes—
33C22×C22⋊C4×C17C2211yescharacteristic
34C17×#386C418yescomplemented
35C2×C17×#95C2212yes—
36C25×C17C2311yescharacteristic
37C25×C17C2311yescharacteristic
38C22×D4×C17—41no—
39C22×D4×C17—41no—
40C22×D4×C17—41no—
41C22×D4×C17—41no—
42C22×D4×C17C2×C414yes—
43C22×D4×C17D414yes—
44C22×D4×C17Q814yes—
45C23×C4×C17—24no—
46C23×C4×C17—24no—
47C23×C4×C17—41no—
48C23×C4×C17—41no—
49C23×C4×C17C2×C414yescomplemented
50C23×C4×C17C2312yes—
51C23×C4×C17C2311yescharacteristic
52C23×C4×C17C2312yes—
53C23×Dic17—22no—
54C23×Dic17—24no—
55C23×Dic17—41no—
56C23×Dic17—41no—
57C23×Dic17—42no—
58C23×Dic17C2312yes—
59C23×Dic17C2312yes—
60C23×Dic17C2312yes—
61C23×Dic17C2312yes—
62C2×C22⋊C4×C17—24no—
63C2×C22⋊C4×C17—24no—
64C2×C22⋊C4×C17—41no—
65C2×C22⋊C4×C17—41no—
66C2×C22⋊C4×C17C2×C418yes—
67C2×C22⋊C4×C17C2×C414yescomplemented
68C2×C22⋊Dic17—24no—
69C2×C22⋊Dic17—22no—
70C2×C22⋊Dic17—24no—
71C2×C22⋊Dic17—24no—
72C2×C22⋊Dic17—24no—
73C2×C22⋊Dic17—24no—
74C2×C22⋊Dic17—24no—
75C2×C22⋊Dic17—42no—
76C2×C22⋊Dic17—42no—
77C2×C22⋊Dic17—42no—
78C2×C22⋊Dic17—41no—
79C2×C22⋊Dic17—41no—
80C2×C4⋊Dic17—22no—
81C2×C4⋊Dic17—24no—
82C2×C4⋊Dic17—24no—
83C2×C4⋊Dic17—24no—
84C2×C4⋊Dic17—24no—
85C2×C4⋊Dic17—24no—
86C2×C4⋊Dic17—42no—
87C2×C4⋊Dic17—42no—
88C2×C4⋊Dic17—42no—
89C2×C4⋊Dic17—42no—
90C2×C4⋊Dic17—41no—
91C2×C4⋊Dic17—41no—
92C2×C4×Dic17—22no—
93C2×C4×Dic17—41no—
94C2×C4×Dic17—41no—
95C17×#95C2×C418yescomplemented
96#10587502—24no—
97#10587502—24no—
98#10587502—24no—
99#10587502—42no—
100#10587502—42no—
101#10587502D418yescomplemented
102C24×C17—22no—
103C24×C17—22no—
104C24×C17—22no—
105C24×C17—22no—
106C24×C17—21no—
107C24×C17—21no—
108C24×C17—22no—
109C24×C17—21no—
110C24×C17—21no—
111C24×C17—21no—
112C24×C17—21no—
113C24×C17—21no—
114C24×C17—21no—
115C24×C17—22no—
116C24×C17—22no—
117C24×C17—22no—
118C24×C17C22×C412yes—
119C24×C17C22×C412yes—
120C24×C17C2×D412yes—
121C24×C17C2×D412yes—
122C24×C17C2×Q812yes—
123C24×C17C2×Q812yes—
124C24×C17C2411yescharacteristic
125C2×D4×C17—44no—
126C2×D4×C17—44no—
127C2×D4×C17—44no—
128C2×D4×C17—44no—
129C2×D4×C17—44no—
130C2×D4×C17—44no—
131C2×D4×C17C4⋊C4116yescomplemented
132C22×C4×C17—22no—
133C22×C4×C17—22no—
134C22×C4×C17—22no—
135C22×C4×C17—22no—
136C22×C4×C17—21no—
137C22×C4×C17—21no—
138C22×C4×C17—21no—
139C22×C4×C17—21no—
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—216no—
147C22×C4×C17—44no—
148C22×C4×C17—44no—
149C22×C4×C17—48no—
150C22×C4×C17—44no—
151C22×C4×C17C22×C414yes—
152C22×C4×C17C22×C412yes—
153C22×C4×C17C22×C414yes—
154C22×C4×C17C2×D412yes—
155C22×C4×C17C2×D414yes—
156C22×C4×C17C2×Q812yes—
157C22×C4×C17#4114yes—
158C22×Dic17—22no—
159C22×Dic17—22no—
160C22×Dic17—22no—
161C22×Dic17—22no—
162C22×Dic17—22no—
163C22×Dic17—22no—
164C22×Dic17—22no—
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×Dic17—22no—
182C22×Dic17—22no—
183C22×Dic17—22no—
184C22×Dic17—44no—
185C22×Dic17—48no—
186C22×Dic17—48no—
187C22×Dic17—44no—
188C22×Dic17—44no—
189C22×Dic17C2×D414yes—
190C22×Dic17C2×D414yes—
191C22⋊C4×C17—216no—
192C22⋊C4×C17—44no—
193C22⋊Dic17—48no—
194C22⋊Dic17—48no—
195C22⋊Dic17—48no—
196C22⋊Dic17—44no—
197C4⋊Dic17—48no—
198C4⋊Dic17—48no—
199C4⋊Dic17—48no—
200C4⋊Dic17—44no—
201C4×Dic17—44no—
202#14401—171nomaximal, Sylow
203C23×C17—24no—
204C23×C17—24no—
205C23×C17—22no—
206C23×C17—22no—
207C23×C17—22no—
208C23×C17—22no—
209C23×C17—24no—
210C23×C17—24no—
211C23×C17—22no—
212C23×C17—22no—
213C23×C17—22no—
214C23×C17—22no—
215C23×C17—22no—
216C23×C17—22no—
217C23×C17—22no—
218C23×C17—22no—
219C23×C17—24no—
220C23×C17—24no—
221C23×C17—24no—
222C23×C17—24no—
223C23×C17—24no—
224C23×C17—24no—
225C23×C17—24no—
226C23×C17—24no—
227C23×C17—42no—
228C23×C17—42no—
229C23×C17—42no—
230C23×C17—42no—
231C23×C17—42no—
232C23×C17—42no—
233C23×C17—42no—
234C23×C17—42no—
235C23×C17—41no—
236C23×C17—41no—
237C23×C17—42no—
238C23×C17—42no—
239C23×C17—41no—
240C23×C17—41no—
241C23×C17—41no—
242C23×C17—41no—
243C23×C17—42no—
244C23×C17—42no—
245C23×C17—41no—
246C23×C17—41no—
247C23×C17C2×C4⋊C414yes—
248C23×C17C2×C4⋊C414yes—
249C23×C17C23×C411yescharacteristic
250C23×C17C22×D411yescharacteristic
251C23×C17C22×D412yes—
252C23×C17C22×Q811yescharacteristic
253C23×C17C2×#4112yes—
254C23×C17H(5,𝔽2)11yescharacteristic
255C23×C17H(5,𝔽2)11yescharacteristic
256C23×C17H(5,𝔽2)11yescharacteristic
257C23×C17H(5,𝔽2)11yescharacteristic
258C23×C17H(5,𝔽2)12yes—
259C23×C172−1+412yes—
260D4×C17—416no—
261C2×C4×C17—24no—
262C2×C4×C17—24no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—22no—
269C2×C4×C17—24no—
270C2×C4×C17—24no—
271C2×C4×C17—24no—
272C2×C4×C17—24no—
273C2×C4×C17—24no—
274C2×C4×C17—24no—
275C2×C4×C17—24no—
276C2×C4×C17—416no—
277C2×C4×C17—42no—
278C2×C4×C17—42no—
279C2×C4×C17—42no—
280C2×C4×C17—42no—
281C2×C4×C17C2×C4⋊C414yes—
282C2×C4×C17C4×D418yes—
283C2×Dic17—24no—
284C2×Dic17—24no—
285C2×Dic17—24no—
286C2×Dic17—24no—
287C2×Dic17—24no—
288C2×Dic17—24no—
289C2×Dic17—416no—
290C2×Dic17—42no—
291C2×Dic17—42no—
292C2×Dic17—42no—
293C2×Dic17—42no—
294C2×Dic17—42no—
295C2×Dic17—42no—
296C2×Dic17—42no—
297C2×Dic17—42no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300C2×Dic17—42no—
301C2×Dic17—42no—
302C2×Dic17—42no—
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×#390—171no—
313C2×#386—171no—
314C2×#386D1711yescharacteristic
315C2×#385—172no—
316C2×#380—172no—
317#1444—172no—
318#1439—172no—
319#1439—172no—
320#1436—172no—
321C22×C17—24no—
322C22×C17—24no—
323C22×C17—28no—
324C22×C17—28no—
325C22×C17—44no—
326C22×C17—44no—
327C22×C17—42no—
328C22×C17—42no—
329C22×C17—42no—
330C22×C17—42no—
331C22×C17—42no—
332C22×C17—42no—
333C22×C17—44no—
334C22×C17—44no—
335C22×C17—42no—
336C22×C17—42no—
337C22×C17—44no—
338C22×C17—44no—
339C22×C17—42no—
340C22×C17—42no—
341C22×C17—42no—
342C22×C17—42no—
343C22×C17C22×C4⋊C411yescharacteristic
344C22×C17C2×C4×D412yes—
345C22×C17#51811yescharacteristic
346C22×C17#51811yescharacteristic
347C22×C17#52012yes—
348C22×C17#53411yescharacteristic
349C22×C17#53411yescharacteristic
350C22×C17#53512yes—
351C22×C17#53712yes—
352C22×C17#54012yes—
353C22×C17#54212yes—
354C22×C17#54311yescharacteristic
355C22×C17#54311yescharacteristic
356C22×C17D4211yescharacteristic
357C22×C17D4212yes—
358C22×C17#54612yes—
359C22×C17#54712yes—
360C22×C17D4×Q812yes—
361C22×C17#55111yescharacteristic
362C22×C17#55412yes—
363C22×C17#56011yescharacteristic
364C22×C17#56212yes—
365C22×C17#56311yescharacteristic
366C4×C17—24no—
367C4×C17—28no—
368C4×C17—44no—
369Dic17—44no—
370Dic17—44no—
371Dic17—82no—
372Dic17—82no—
373C23×D4C2×D1711yescharacteristic
374C24×C4—171no—
375C24×C4C2×D1711yescharacteristic
376C22×C4⋊C4—172no—
377C22×C4⋊C4—172no—
378C22×C4⋊C4—172no—
379C22×C4⋊C4—171no—
380C22×C22⋊C4—172no—
381C22×C22⋊C4—172no—
382C22×C22⋊C4—172no—
383C22×C22⋊C4—171no—
384C22×C22⋊C4C2×D1712yes—
385C22×C22⋊C4C2×D1711yescharacteristic
386C22×C42—171no—
387#390—344no—
388#386—344no—
389#386Dic1718yescomplemented
390#385—348no—
391#380—348no—
392C2×#95—172no—
393C2×#95—172no—
394C2×#95—172no—
395C2×#95—172no—
396C2×#95—172no—
397C2×#95—172no—
398C2×#95C2×D1712yes—
399C2×C17—44no—
400C2×C17—44no—
401C2×C17#231511yescharacteristic
402C2×C17#232412yes—
403C2×C17D4×C4⋊C412yes—
404C2×C17#235811yescharacteristic
405C2×C17#237611yescharacteristic
406C2×C17#266911yescharacteristic
407C2×C17#267112yes—
408C2×C17#268311yescharacteristic
409C2×C17#269212yes—
410C2×C17#271711yescharacteristic
411C2×C17#274811yescharacteristic
412C25C22×D1711yescharacteristic
413C25C22×D1711yescharacteristic
414C22×D4—41no—
415C22×D4—41no—
416C22×D4—41no—
417C22×D4—41no—
418C22×D4Dic3414yes—
419C22×D4D6814yes—
420C22×D4C2×Dic1714yes—
421C23×C4—24no—
422C23×C4—24no—
423C23×C4—41no—
424C23×C4—41no—
425C23×C4—172no—
426C23×C4—172no—
427C23×C4—172no—
428C23×C4—172no—
429C23×C4—344no—
430C23×C4—342no—
431C23×C4—681no—
432C23×C4—681no—
433C23×C4—682no—
434C23×C4C2×Dic1714yescomplemented
435C23×C4C22×D1712yes—
436C23×C4C22×D1711yescharacteristic
437C23×C4C22×D1712yes—
438C2×C4⋊C4—344no—
439C2×C4⋊C4—344no—
440C2×C4⋊C4—344no—
441C2×C4⋊C4—342no—
442C2×C4⋊C4—344no—
443C2×C4⋊C4—344no—
444C2×C4⋊C4—682no—
445C2×C4⋊C4—682no—
446C2×C4⋊C4—681no—
447C2×C4⋊C4—681no—
448C2×C4⋊C4—682no—
449C2×C4⋊C4—682no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—24no—
452C2×C22⋊C4—41no—
453C2×C22⋊C4—41no—
454C2×C22⋊C4—344no—
455C2×C22⋊C4—344no—
456C2×C22⋊C4—344no—
457C2×C22⋊C4—344no—
458C2×C22⋊C4—342no—
459C2×C22⋊C4—344no—
460C2×C22⋊C4—344no—
461C2×C22⋊C4—682no—
462C2×C22⋊C4—682no—
463C2×C22⋊C4—682no—
464C2×C22⋊C4—681no—
465C2×C22⋊C4—681no—
466C2×C22⋊C4C2×Dic1718yes—
467C2×C22⋊C4C2×Dic1714yescomplemented
468C2×C42—342no—
469C2×C42—681no—
470C2×C42—681no—
471#95—178no—
472#95—344no—
473#95—344no—
474#95—344no—
475#95—682no—
476#95—682no—
477#95C2×Dic1718yescomplemented
478C17#1440111yescharacteristic, complemented, Sylow
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—21no—
489C24—21no—
490C24—21no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24C2×Dic3412yes—
496C24C2×Dic3412yes—
497C24C2×D6812yes—
498C24C2×D6812yes—
499C24C22×Dic1712yes—
500C24C22×Dic1712yes—
501C24C23×D1711yescharacteristic
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4—44no—
508C2×D4C4⋊Dic17116yescomplemented
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
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—216no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—48no—
528C22×C4—174no—
529C22×C4—174no—
530C22×C4—342no—
531C22×C4—342no—
532C22×C4—342no—
533C22×C4—342no—
534C22×C4—342no—
535C22×C4—342no—
536C22×C4—342no—
537C22×C4—342no—
538C22×C4—342no—
539C22×C4—342no—
540C22×C4—342no—
541C22×C4—342no—
542C22×C4—342no—
543C22×C4—342no—
544C22×C4—342no—
545C22×C4—342no—
546C22×C4—342no—
547C22×C4—342no—
548C22×C4—342no—
549C22×C4—342no—
550C22×C4—342no—
551C22×C4—342no—
552C22×C4—342no—
553C22×C4—342no—
554C22×C4—342no—
555C22×C4—342no—
556C22×C4—684no—
557C22×C4—688no—
558C22×C4—688no—
559C22×C4—684no—
560C22×C4—684no—
561C22×C4C2×Dic3412yes—
562C22×C4C2×D6812yes—
563C22×C4D4×D1714yes—
564C22×C4#6325414yes—
565C22×C4C22×Dic1714yes—
566C22×C4C22×Dic1712yes—
567C22×C4C22×Dic1714yes—
568C4⋊C4—688no—
569C4⋊C4—688no—
570C4⋊C4—684no—
571C4⋊C4—688no—
572C22⋊C4—216no—
573C22⋊C4—44no—
574C22⋊C4—688no—
575C22⋊C4—688no—
576C22⋊C4—688no—
577C22⋊C4—684no—
578C42—684no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—24no—
602C23—24no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—41no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—41no—
620C23—41no—
621C23—42no—
622C23—42no—
623C23C2×C4⋊Dic1714yes—
624C23C2×C4⋊Dic1714yes—
625C23C22×Dic3411yescharacteristic
626C23C22×D6811yescharacteristic
627C23C2×D4×D1712yes—
628C23C2×#6325412yes—
629C23#1058769111yescharacteristic
630C23#1058769111yescharacteristic
631C23#1058769111yescharacteristic
632C23#1058769111yescharacteristic
633C23#1058769612yes—
634C23#1058769712yes—
635C23C23×Dic1711yescharacteristic
636D4—416no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—416no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—344no—
658C2×C4—344no—
659C2×C4—344no—
660C2×C4—344no—
661C2×C4—344no—
662C2×C4—344no—
663C2×C4—6816no—
664C2×C4—682no—
665C2×C4—682no—
666C2×C4—682no—
667C2×C4—682no—
668C2×C4—682no—
669C2×C4—682no—
670C2×C4—682no—
671C2×C4—682no—
672C2×C4—682no—
673C2×C4—682no—
674C2×C4—682no—
675C2×C4—682no—
676C2×C4—682no—
677C2×C4—682no—
678C2×C4—682no—
679C2×C4—682no—
680C2×C4—682no—
681C2×C4—682no—
682C2×C4—682no—
683C2×C4—682no—
684C2×C4—682no—
685C2×C4—682no—
686C2×C4C2×C4⋊Dic1714yes—
687C2×C4D4×Dic1718yes—
688C22—24no—
689C22—24no—
690C22—28no—
691C22—28no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—44no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22C22×C4⋊Dic1711yescharacteristic
711C22C2×D4×Dic1712yes—
712C22#1176328411yescharacteristic
713C22#1176328411yescharacteristic
714C22#1176329212yes—
715C22#1176337111yescharacteristic
716C22#1176337111yescharacteristic
717C22#1176337512yes—
718C22#1176338812yes—
719C22#1176341212yes—
720C22#1176342612yes—
721C22#1176343511yescharacteristic
722C22#1176343511yescharacteristic
723C22#1176344111yescharacteristic
724C22D4×D6812yes—
725C22#1176344612yes—
726C22#1176346312yes—
727C22D4×Dic3412yes—
728C22#1176349011yescharacteristic
729C22#1176351612yes—
730C22#1176354911yescharacteristic
731C22#1176355612yes—
732C22#1176356211yescharacteristic
733C4—24no—
734C4—28no—
735C4—44no—
736C4—684no—
737C4—684no—
738C4—1362no—
739C4—1362no—
740C2—44no—
741C2—44no—
742C2#1453139811yescharacteristic
743C2#1453147912yes—
744C2D4×C4⋊Dic1712yes—
745C2#1453176811yescharacteristic
746C2#1453193211yescharacteristic
747C2#1453500211yescharacteristic
748C2#1453501812yes—
749C2#1453515711yescharacteristic
750C2#1453528412yes—
751C2#1453562211yescharacteristic
752C2#1453599911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC2×C17×#386C2
socle, cosocleC24×C17C24
prime radicalC23×D4×C17C22
hypercenterC2×#386D17
hypocenterC17#14401
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. C2×#11762684C2semidirect
4. C2×#11762669C2semidirect
5. #14527049C2semidirect
6. #14527029C2semidirect
7. #14527029C2semidirect
8. #14527018C2semidirect
34. C17×#386C4semidirect
49. C23×C4×C17C2×C4semidirect
67. C2×C22⋊C4×C17C2×C4semidirect
95. C17×#95C2×C4semidirect
101. #10587502D4semidirect
131. C2×D4×C17C4⋊C4semidirect
389. #386Dic17semidirect
434. C23×C4C2×Dic17semidirect
467. C2×C22⋊C4C2×Dic17semidirect
477. #95C2×Dic17semidirect
478. C17#14401semidirect
508. C2×D4C4⋊Dic17semidirect

Maximal subgroups

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

subgroupindex
C2×#117627122
C2×#117626892
C2×#117626842
C2×#117626692
#145270492
#145270292
#145270182
C2×C17×#3862
#1440117