Finite Group Databasebeta

← #16956365

Subgroups — #16956365

Order 4352.

2330 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D17C211yesmaximal, characteristic
2C2×#11762697C212yesmaximal, complemented
3C2×#11762656C211yesmaximal, characteristic, complemented
4#14527028C212yesmaximal, complemented
5#14527023C212yesmaximal
6#14527015C212yesmaximal, complemented
7#14527012C211yesmaximal, characteristic, complemented
8#14527009C211yesmaximal, characteristic, complemented
9#14527007C211yesmaximal, characteristic, complemented
10#14527005C211yesmaximal, characteristic, complemented
11C2×C17×#381C211yesmaximal, characteristic, complemented
12C23×C22⋊D17C2211yescharacteristic
13C23×C4×D17C2211yescharacteristic
14C2×C4×C22⋊D17—28no—
15C2×C4×C22⋊D17C418yescomplemented
16C22×#63225C2212yes—
17C22×#63225C2211yescharacteristic
18C22×C22⋊Dic17C2212yes—
19C22×C22⋊Dic17C2211yescharacteristic
20C22×#63227C2212yes—
21C22×#63227C2211yescharacteristic
22C22×#63227C2212yes—
23C22×C4×Dic17C2212yes—
24C22×C4×Dic17C2211yescharacteristic
25#11762697—28no—
26#11762656—24no—
27C2×#10587502C2211yescharacteristic
28C2×#10587502C2212yes—
29C2×#10587502C2211yescharacteristic
30C2×#10587502C2212yes—
31C2×#10587502C2212yes—
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C24×C4×C17C2211yescharacteristic
35C22×C22⋊C4×C17C2212yes—
36C17×#381—24no—
37C2×C17×#95C2211yescharacteristic
38C2×C17×#95C2212yes—
39C2×C17×#95C2211yescharacteristic
40C25×C17C2311yescharacteristic
41C24×D17C2311yescharacteristic
42C23×C4×C17—24no—
43C23×C4×C17—22no—
44C23×C4×C17—22no—
45C23×C4×C17—42no—
46C23×C4×C17C2×C414yes—
47C23×C4×C17C2312yes—
48C23×C4×C17C2311yescharacteristic
49C23×C4×C17C2312yes—
50C23×C4×C17C2311yescharacteristic
51C22×C22⋊D17—24no—
52C22×C22⋊D17—24no—
53C22×C22⋊D17—22no—
54C22×C22⋊D17—22no—
55C22×C22⋊D17C2×C414yes—
56C23×Dic17C2312yes—
57C23×Dic17C2312yes—
58C23×Dic17C2311yescharacteristic
59C23×Dic17C2311yescharacteristic
60C23×Dic17C2311yescharacteristic
61C22×C4×D17—22no—
62C22×C4×D17—22no—
63C22×C4×D17—24no—
64C22×C4×D17—42no—
65C22×C4×D17C2×C414yes—
66C2×C22⋊C4×C17—24no—
67C2×C22⋊C4×C17—24no—
68C2×C22⋊C4×C17—42no—
69C2×C22⋊Dic17—24no—
70C2×C22⋊Dic17—24no—
71C2×C22⋊Dic17—42no—
72C2×C22⋊Dic17C2×C414yes—
73C2×C22⋊Dic17D418yes—
74C4×C22⋊D17—232no—
75C2×#63227—24no—
76C2×#63227—24no—
77C2×#63227—24no—
78C2×#63227—24no—
79C2×#63227—24no—
80C2×#63227—42no—
81C2×#63227—42no—
82C2×#63227C2×C414yes—
83C2×#63225—24no—
84C2×#63225—24no—
85C2×#63225—24no—
86C2×#63225—42no—
87C2×#63225C2×C414yes—
88C2×C4×Dic17—24no—
89C2×C4×Dic17—24no—
90C2×C4×Dic17—24no—
91C2×C4×Dic17—42no—
92C2×C4×Dic17C2×C414yes—
93C17×#95—24no—
94C17×#95—22no—
95C17×#95D414yescomplemented
96#10587502—22no—
97#10587502—22no—
98#10587502—24no—
99#10587502—24no—
100#10587502—24no—
101#10587502—24no—
102#10587502—42no—
103C24×C17—21no—
104C24×C17—22no—
105C24×C17—21no—
106C24×C17—21no—
107C24×C17—21no—
108C24×C17—22no—
109C24×C17—22no—
110C24×C17—21no—
111C24×C17—21no—
112C24×C17C22×C412yes—
113C24×C17C2×D414yes—
114C24×C17C2411yescharacteristic
115C23×D17—22no—
116C23×D17—21no—
117C23×D17—21no—
118C23×D17—21no—
119C23×D17—21no—
120C23×D17—22no—
121C23×D17—22no—
122C23×D17—21no—
123C23×D17—21no—
124C23×D17C22×C412yes—
125C23×D17#4114yes—
126C22×C4×C17—22no—
127C22×C4×C17—22no—
128C22×C4×C17—28no—
129C22×C4×C17—21no—
130C22×C4×C17—22no—
131C22×C4×C17—22no—
132C22×C4×C17—21no—
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—28no—
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—44no—
148C22×C4×C17—48no—
149C22×C4×C17—48no—
150C22×C4×C17C22×C412yes—
151C22×C4×C17C22×C412yes—
152C22×C4×C17C2×D414yes—
153C22×C4×C17C2×D412yes—
154C22×C4×C17#4112yes—
155C2×C22⋊D17—216no—
156C2×C22⋊D17—216no—
157C2×C22⋊D17—28no—
158C2×C22⋊D17—28no—
159C2×C22⋊D17—28no—
160C22×Dic17—21no—
161C22×Dic17—22no—
162C22×Dic17—21no—
163C22×Dic17—22no—
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—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×D414yes—
185C22×Dic17C2×D414yes—
186C22×Dic17#4114yes—
187C22×Dic17#4112yes—
188C22×Dic17#4112yes—
189C2×C4×D17—28no—
190C2×C4×D17—28no—
191C2×C4×D17—44no—
192C2×C4×D17—48no—
193C2×C4×D17—48no—
194C22⋊C4×C17—48no—
195C22⋊Dic17—48no—
196C22⋊Dic17C22⋊C4116yescomplemented
197#63227—216no—
198#63227—28no—
199#63227—48no—
200#63225—28no—
201#63225—48no—
202C4×Dic17—28no—
203C4×Dic17—48no—
204#13886—171nomaximal, Sylow
205C23×C17—22no—
206C23×C17—22no—
207C23×C17—22no—
208C23×C17—22no—
209C23×C17—22no—
210C23×C17—22no—
211C23×C17—24no—
212C23×C17—24no—
213C23×C17—24no—
214C23×C17—24no—
215C23×C17—24no—
216C23×C17—24no—
217C23×C17—42no—
218C23×C17—42no—
219C23×C17—42no—
220C23×C17—42no—
221C23×C17—41no—
222C23×C17—41no—
223C23×C17—42no—
224C23×C17—41no—
225C23×C17—41no—
226C23×C17—42no—
227C23×C17C2×C22⋊C414yes—
228C23×C17C23×C411yescharacteristic
229C23×C17C22×D412yes—
230C23×C17C22×D411yescharacteristic
231C23×C17C2×#4111yescharacteristic
232C23×C17C2×#4112yes—
233C23×C17C2×#4111yescharacteristic
234C23×C17C2×#4111yescharacteristic
235C23×C17C2×#4112yes—
236C23×C17H(5,𝔽2)12yes—
237C23×C17H(5,𝔽2)11yescharacteristic
238C23×C172−1+411yescharacteristic
239C22×D17—22no—
240C22×D17—22no—
241C22×D17—22no—
242C22×D17—22no—
243C22×D17—22no—
244C22×D17—22no—
245C22×D17—24no—
246C22×D17—24no—
247C22×D17—24no—
248C22×D17—24no—
249C22×D17—24no—
250C22×D17—24no—
251C22×D17—42no—
252C22×D17—42no—
253C22×D17—42no—
254C22×D17—42no—
255C22×D17—41no—
256C22×D17—41no—
257C22×D17—42no—
258C22×D17—41no—
259C22×D17—41no—
260C22×D17—42no—
261C22×D17#11714yes—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—24no—
265C2×C4×C17—24no—
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—416no—
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×C17C4×D414yes—
287C22⋊D17—232no—
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—24no—
295C2×Dic17—24no—
296C2×Dic17—24no—
297C2×Dic17—24no—
298C2×Dic17—24no—
299C2×Dic17—24no—
300C2×Dic17—24no—
301C2×Dic17—24no—
302C2×Dic17—24no—
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×Dic17C2×C22⋊C414yes—
315C2×Dic17C2×C22⋊C414yes—
316C2×Dic17#11714yes—
317C4×D17—416no—
318C22×C4×D4—171no—
319C2×#388—172no—
320C2×#381D1711yescharacteristic, complemented
321C2×C4×C22⋊C4—171no—
322#1439—172no—
323#1438—172no—
324#1436—172no—
325C4⋊#95—171no—
326#1434—171no—
327C22⋊#95—171no—
328C22⋊#95—171no—
329C22×C17—24no—
330C22×C17—24no—
331C22×C17—24no—
332C22×C17—42no—
333C22×C17—42no—
334C22×C17—42no—
335C22×C17—44no—
336C22×C17—44no—
337C22×C17—44no—
338C22×C17—44no—
339C22×C17—42no—
340C22×C17C22×C22⋊C411yescharacteristic
341C22×C17C2×#11711yescharacteristic
342C22×C17C2×#11711yescharacteristic
343C22×C17C2×C4×D411yescharacteristic
344C22×C17C4×#4111yescharacteristic
345C22×C17#51811yescharacteristic
346C22×C17#52011yescharacteristic
347C22×C17#52512yes—
348C22×C17#52512yes—
349C22×C17#52512yes—
350C22×C17#52912yes—
351C22×C17#53812yes—
352C22×C17#53912yes—
353C22×C17D4212yes—
354C22×C17#54612yes—
355C22×C17#54612yes—
356C22×C17#54712yes—
357C22×C17#54711yescharacteristic
358C22×C17#55011yescharacteristic
359C22×C17#55312yes—
360C22×C17#55511yescharacteristic
361C22×C17#55611yescharacteristic
362C22×C17#55912yes—
363C2×D17—24no—
364C2×D17—24no—
365C2×D17—24no—
366C2×D17—42no—
367C2×D17—42no—
368C2×D17—42no—
369C2×D17—42no—
370C2×D17—44no—
371C2×D17—44no—
372C2×D17—44no—
373C2×D17—44no—
374C4×C17—24no—
375C4×C17—42no—
376C4×C17—44no—
377C4×C17—82no—
378Dic17—24no—
379Dic17—24no—
380Dic17—24no—
381Dic17—44no—
382Dic17—82no—
383C23×D4—171no—
384C24×C4—171no—
385C24×C4C2×D1711yescharacteristic
386C2×C4×D4—178no—
387C2×C4×D4—348no—
388C22×C4⋊C4—171no—
389C22×C4⋊C4—172no—
390C22×C22⋊C4—171no—
391C22×C22⋊C4—171no—
392C22×C22⋊C4—172no—
393C22×C22⋊C4—172no—
394C22×C22⋊C4—172no—
395C22×C22⋊C4C2×D1712yes—
396C22×C42—171no—
397C22×C42—172no—
398#388—348no—
399#381—24no—
400C4×C22⋊C4—344no—
401C2×#95—171no—
402C2×#95—171no—
403C2×#95—172no—
404C2×#95—172no—
405C2×#95—172no—
406C2×#95—172no—
407C2×#95—172no—
408C2×#95C2×D1711yescharacteristic
409C2×#95C2×D1712yes—
410C2×#95C2×D1711yescharacteristic
411C2×C17—44no—
412C2×C17#228011yescharacteristic
413C2×C17#229011yescharacteristic
414C2×C17#231811yescharacteristic
415C2×C17D4×C22⋊C411yescharacteristic
416C2×C17#233911yescharacteristic
417C2×C17#235411yescharacteristic
418C2×C17#235711yescharacteristic
419C2×C17#245512yes—
420C2×C17#245612yes—
421C2×C17#245912yes—
422C2×C17#246612yes—
423D17—44no—
424C25—171no—
425C25C22×D1711yescharacteristic
426C22×D4—174no—
427C22×D4—342no—
428C22×D4—342no—
429C22×D4—344no—
430C22×D4—344no—
431C23×C4—24no—
432C23×C4—22no—
433C23×C4—22no—
434C23×C4—42no—
435C23×C4—171no—
436C23×C4—171no—
437C23×C4—171no—
438C23×C4—172no—
439C23×C4—174no—
440C23×C4—172no—
441C23×C4—344no—
442C23×C4—342no—
443C23×C4—342no—
444C23×C4—682no—
445C23×C4C4×D1714yes—
446C23×C4C22×D1712yes—
447C23×C4C22×D1711yescharacteristic
448C23×C4C22×D1712yes—
449C23×C4C22×D1711yescharacteristic
450C4×D4—3432no—
451C2×C4⋊C4—174no—
452C2×C4⋊C4—344no—
453C2×C4⋊C4—344no—
454C2×C4⋊C4—344no—
455C2×C4⋊C4—682no—
456C2×C22⋊C4—24no—
457C2×C22⋊C4—24no—
458C2×C22⋊C4—42no—
459C2×C22⋊C4—174no—
460C2×C22⋊C4—178no—
461C2×C22⋊C4—174no—
462C2×C22⋊C4—344no—
463C2×C22⋊C4—344no—
464C2×C22⋊C4—344no—
465C2×C22⋊C4—344no—
466C2×C22⋊C4—344no—
467C2×C22⋊C4—344no—
468C2×C22⋊C4—344no—
469C2×C22⋊C4—682no—
470C2×C22⋊C4—682no—
471C2×C22⋊C4—682no—
472C2×C42—174no—
473C2×C42—344no—
474C2×C42—344no—
475C2×C42—344no—
476C2×C42—682no—
477#95—24no—
478#95—22no—
479#95—344no—
480#95—344no—
481#95—344no—
482#95—344no—
483#95—342no—
484#95—342no—
485#95—682no—
486#95C22⋊D1714yescomplemented
487C17#1388611yescharacteristic, complemented, Sylow
488C24—21no—
489C24—22no—
490C24—22no—
491C24—21no—
492C24—21no—
493C24—22no—
494C24—21no—
495C24—21no—
496C24—21no—
497C24—172no—
498C24—174no—
499C24—341no—
500C24—342no—
501C24—342no—
502C24—342no—
503C24—341no—
504C24—341no—
505C24—341no—
506C24—341no—
507C24—341no—
508C24C2×C4×D1712yes—
509C24D4×D1714yes—
510C24C23×D1711yescharacteristic
511C2×D4—348no—
512C2×D4—348no—
513C2×D4—3416no—
514C2×D4—3416no—
515C2×D4—348no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
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—21no—
528C22×C4—28no—
529C22×C4—28no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—44no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—172no—
541C22×C4—172no—
542C22×C4—172no—
543C22×C4—174no—
544C22×C4—174no—
545C22×C4—172no—
546C22×C4—172no—
547C22×C4—174no—
548C22×C4—348no—
549C22×C4—341no—
550C22×C4—342no—
551C22×C4—342no—
552C22×C4—342no—
553C22×C4—342no—
554C22×C4—341no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—342no—
558C22×C4—342no—
559C22×C4—342no—
560C22×C4—342no—
561C22×C4—342no—
562C22×C4—342no—
563C22×C4—348no—
564C22×C4—342no—
565C22×C4—342no—
566C22×C4—342no—
567C22×C4—342no—
568C22×C4—342no—
569C22×C4—342no—
570C22×C4—342no—
571C22×C4—684no—
572C22×C4—688no—
573C22×C4—688no—
574C22×C4C2×C4×D1712yes—
575C22×C4C2×C4×D1712yes—
576C22×C4#6325212yes—
577C22×C4C2×C22⋊D1714yes—
578C22×C4C2×C22⋊D1712yes—
579C4⋊C4—348no—
580C4⋊C4—688no—
581C22⋊C4—48no—
582C22⋊C4—1716no—
583C22⋊C4—348no—
584C22⋊C4—3416no—
585C22⋊C4—688no—
586C22⋊C4—688no—
587C42—348no—
588C42—688no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—174no—
612C23—342no—
613C23—342no—
614C23—342no—
615C23—342no—
616C23—342no—
617C23—342no—
618C23—344no—
619C23—344no—
620C23—344no—
621C23—344no—
622C23—344no—
623C23—344no—
624C23—682no—
625C23—681no—
626C23—681no—
627C23—682no—
628C23—681no—
629C23—681no—
630C23—682no—
631C23—682no—
632C23—682no—
633C23—682no—
634C23C22⋊C4×D1714yes—
635C23C22×C4×D1711yescharacteristic
636C23C2×#6325211yescharacteristic
637C23C2×D4×D1712yes—
638C23#1058769112yes—
639C23#41×D1712yes—
640C23#41×D1711yescharacteristic
641C23#41×D1711yescharacteristic
642C23#41×D1712yes—
643C23#1058769611yescharacteristic
644C23#1058769711yescharacteristic
645C23C22×C22⋊D1711yescharacteristic
646D4—3432no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—416no—
658C2×C4—42no—
659C2×C4—42no—
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—174no—
672C2×C4—174no—
673C2×C4—174no—
674C2×C4—344no—
675C2×C4—342no—
676C2×C4—342no—
677C2×C4—342no—
678C2×C4—342no—
679C2×C4—342no—
680C2×C4—342no—
681C2×C4—344no—
682C2×C4—344no—
683C2×C4—344no—
684C2×C4—344no—
685C2×C4—344no—
686C2×C4—344no—
687C2×C4—344no—
688C2×C4—344no—
689C2×C4—6816no—
690C2×C4—682no—
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×C4C4×C22⋊D1714yes—
702C22—24no—
703C22—24no—
704C22—24no—
705C22—44no—
706C22—44no—
707C22—42no—
708C22—44no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—44no—
713C22—344no—
714C22—344no—
715C22—344no—
716C22—682no—
717C22—682no—
718C22—684no—
719C22—684no—
720C22—684no—
721C22—682no—
722C22—682no—
723C22—684no—
724C22C2×C22⋊C4×D1711yescharacteristic
725C22#117×D1711yescharacteristic
726C22#117×D1711yescharacteristic
727C22C2×C4×C22⋊D1711yescharacteristic
728C22#1176327711yescharacteristic
729C22#1176328211yescharacteristic
730C22#1176328911yescharacteristic
731C22#1176331612yes—
732C22#1176331712yes—
733C22#1176331712yes—
734C22#1176333712yes—
735C22#1176339512yes—
736C22#1176340212yes—
737C22D4×C22⋊D1712yes—
738C22#1176344912yes—
739C22#1176345112yes—
740C22#1176345712yes—
741C22#1176345811yescharacteristic
742C22#1176347811yescharacteristic
743C22#1176350412yes—
744C22#1176352211yescharacteristic
745C22#1176352711yescharacteristic
746C22#1176354312yes—
747C4—24no—
748C4—42no—
749C4—44no—
750C4—82no—
751C4—344no—
752C4—344no—
753C4—344no—
754C4—684no—
755C4—1362no—
756C2—44no—
757C2—684no—
758C2#1453116411yescharacteristic
759C2#1453122111yescharacteristic
760C2#1453141311yescharacteristic
761C2C22⋊C4×C22⋊D1711yescharacteristic
762C2#1453160811yescharacteristic
763C2#1453173411yescharacteristic
764C2#1453175211yescharacteristic
765C2#1453266312yes—
766C2#1453267212yes—
767C2#1453271812yes—
768C2#1453281912yes—
subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC2×C17×#381C2
socle, cosocleC24×C17C24
prime radicalC23×C22⋊D17C22
hypercenterC2×#381D17
hypocenterC17#13886
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#381

Complements

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

NH ≅ G/Ntype
2. C2×#11762697C2semidirect
3. C2×#11762656C2semidirect
4. #14527028C2semidirect
6. #14527015C2semidirect
7. #14527012C2semidirect
8. #14527009C2semidirect
9. #14527007C2semidirect
10. #14527005C2semidirect
11. C2×C17×#381C2semidirect
15. C2×C4×C22⋊D17C4semidirect
95. C17×#95D4semidirect
196. C22⋊Dic17C22⋊C4semidirect
320. C2×#381D17semidirect
486. #95C22⋊D17semidirect
487. C17#13886semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D172
C2×#117626972
C2×#117626562
#145270282
#145270232
#145270152
#145270122
#145270092
#145270072
#145270052
C2×C17×#3812
#1388617