Finite Group Databasebeta

← #16955624

Subgroups — #16955624

Order 4352.

2686 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#10587579C211yesmaximal, characteristic
2C2×#11762687C212yesmaximal
3C2×C4×#63227C211yesmaximal, characteristic, complemented
4C2×#95×D17C211yesmaximal, characteristic, complemented
5#14527022C211yesmaximal, characteristic, complemented
6#14527020C211yesmaximal, characteristic, complemented
7#14527016C211yesmaximal, characteristic, complemented
8#14527009C212yesmaximal, complemented
9#14527005C212yesmaximal, complemented
10#14527005C212yesmaximal, complemented
11C17×#1436C211yesmaximal, characteristic, complemented
12C23×D68C2211yescharacteristic
13C23×C4×D17C2211yescharacteristic
14C23×C4×D17C2212yes—
15C23×C4×D17C2211yescharacteristic
16C2×#10587579—24no—
17C2×#10587579—24no—
18C2×#10587579C418yescomplemented
19C22×#63227C2211yescharacteristic
20C22×#63227C2212yes—
21C22×#63227C2211yescharacteristic
22C22×#63227C2212yes—
23C22×#63227C2212yes—
24C22×C4×Dic17C2211yescharacteristic
25C22×C4×Dic17C2211yescharacteristic
26#11762687C4116yescomplemented
27C4×#63227—24no—
28C2×#10587502C2212yes—
29C2×#10587502C2212yes—
30C2×#10587502C2211yescharacteristic
31C2×#10587502C2212yes—
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C2×#10587502C2212yes—
35#95×D17—24no—
36C22×C4⋊C4×C17C2211yescharacteristic
37C22×C42×C17C2211yescharacteristic
38C2×C17×#95C2211yescharacteristic
39C2×C17×#95C2212yes—
40C2×C17×#95C2212yes—
41C24×D17C2311yescharacteristic
42C24×D17C2311yescharacteristic
43C23×C4×C17C2312yes—
44C23×C4×C17C2311yescharacteristic
45C23×C4×C17C2312yes—
46C23×C4×C17C2311yescharacteristic
47C23×C4×C17C2311yescharacteristic
48C23×Dic17C2312yes—
49C23×Dic17C2311yescharacteristic
50C23×Dic17C2312yes—
51C23×Dic17C2311yescharacteristic
52C22×D68—22no—
53C22×D68—22no—
54C22×D68—24no—
55C22×D68C2×C414yes—
56C22×D68C2×C418yes—
57C22×C4×D17—24no—
58C22×C4×D17—24no—
59C22×C4×D17—22no—
60C22×C4×D17—22no—
61C22×C4×D17—42no—
62C22×C4×D17—42no—
63C22×C4×D17—42no—
64C22×C4×D17—42no—
65C22×C4×D17—42no—
66C22×C4×D17—42no—
67C22×C4×D17—42no—
68C22×C4×D17—42no—
69C22×C4×D17C2×C414yes—
70C22×C4×D17C2×C414yescomplemented
71C22×C4×D17C2×C418yescomplemented
72C22×C4×D17D414yes—
73C22×C4×D17D414yes—
74C2×C4⋊C4×C17—22no—
75C2×C4⋊C4×C17—22no—
76C2×C4⋊C4×C17C2×C414yescomplemented
77C2×C42×C17—22no—
78C2×C42×C17—42no—
79C2×#63227—22no—
80C2×#63227—22no—
81C2×#63227—24no—
82C2×#63227—24no—
83C2×#63227—22no—
84C2×#63227—22no—
85C2×#63227—42no—
86C2×#63227—42no—
87C2×#63227—42no—
88C2×#63227—42no—
89C2×#63227C2×C414yes—
90C2×#63227C2×C414yescomplemented
91C2×#63227C2×C418yescomplemented
92C2×#63227C2×C418yescomplemented
93C2×#63227C2×C418yescomplemented
94C2×C4×Dic17—22no—
95C2×C4×Dic17—22no—
96C2×C4×Dic17—22no—
97C2×C4×Dic17—42no—
98C2×C4×Dic17C2×C414yescomplemented
99#10587579—232no—
100C17×#95—22no—
101C17×#95—42no—
102C17×#95C2×C418yescomplemented
103#10587502—22no—
104#10587502—24no—
105#10587502—24no—
106#10587502—42no—
107#10587502—42no—
108#10587502—42no—
109#10587502C2×C418yescomplemented
110C24×C17C2411yescharacteristic
111C23×D17—22no—
112C23×D17—22no—
113C23×D17—22no—
114C23×D17—22no—
115C23×D17—21no—
116C23×D17—21no—
117C23×D17—22no—
118C23×D17—22no—
119C23×D17—22no—
120C23×D17—22no—
121C23×D17—22no—
122C23×D17C22×C412yes—
123C23×D17C22×C414yes—
124C23×D17C22×C412yes—
125C23×D17C22×C414yes—
126C23×D17C2×D412yes—
127C23×D17C2×D412yes—
128C23×D17#4114yes—
129C22×C4×C17—21no—
130C22×C4×C17—21no—
131C22×C4×C17—22no—
132C22×C4×C17—22no—
133C22×C4×C17—22no—
134C22×C4×C17—22no—
135C22×C4×C17—21no—
136C22×C4×C17—21no—
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×C17—22no—
149C22×C4×C17—22no—
150C22×C4×C17C22×C414yes—
151C22×C4×C17C22×C412yes—
152C22×C4×C17C22×C414yes—
153C22×C4×C17C22×C414yes—
154C22×C4×C17C22×C412yes—
155C22×C4×C17C22×C412yes—
156C22×C4×C17C2×D412yes—
157C22×C4×C17C2×D412yes—
158C22×Dic17—22no—
159C22×Dic17—22no—
160C22×Dic17—22no—
161C22×Dic17—22no—
162C22×Dic17—21no—
163C22×Dic17—21no—
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×Dic17C22×C414yes—
177C22×Dic17C22×C414yes—
178C22×Dic17C22×C412yes—
179C22×Dic17C22×C412yes—
180C22×Dic17C2×D412yes—
181C22×Dic17C2×D412yes—
182C2×D68—28no—
183C2×D68—28no—
184C2×D68—216no—
185C2×D68—216no—
186C2×D68C42116yescomplemented
187C2×C4×D17—216no—
188C2×C4×D17—28no—
189C2×C4×D17—48no—
190C2×C4×D17—48no—
191C2×C4×D17—48no—
192C2×C4×D17—48no—
193C2×C4×D17—44no—
194C2×C4×D17—48no—
195C2×C4×D17—44no—
196C2×C4×D17—48no—
197C2×C4×D17—44no—
198C2×C4×D17—44no—
199C2×C4×D17—48no—
200C2×C4×D17—48no—
201C2×C4×D17—48no—
202C2×C4×D17—48no—
203C2×C4×D17C22⋊C4116yescomplemented
204C4⋊C4×C17—28no—
205C42×C17—44no—
206#63227—28no—
207#63227—216no—
208#63227—28no—
209#63227—48no—
210#63227—48no—
211C4×Dic17—28no—
212C4×Dic17—44no—
213#13784—171nomaximal, Sylow
214C23×C17C23×C411yescharacteristic
215C23×C17C23×C412yes—
216C23×C17C22×D411yescharacteristic
217C23×C17C22×D411yescharacteristic
218C23×C17C2×#4112yes—
219C23×C17H(5,𝔽2)12yes—
220C23×C17H(5,𝔽2)12yes—
221C23×C17H(5,𝔽2)12yes—
222C23×C172−1+412yes—
223C22×D17—24no—
224C22×D17—24no—
225C22×D17—24no—
226C22×D17—24no—
227C22×D17—24no—
228C22×D17—24no—
229C22×D17—24no—
230C22×D17—22no—
231C22×D17—22no—
232C22×D17—22no—
233C22×D17—22no—
234C22×D17—24no—
235C22×D17—24no—
236C22×D17—24no—
237C22×D17—24no—
238C22×D17—24no—
239C22×D17—22no—
240C22×D17—22no—
241C22×D17—24no—
242C22×D17—24no—
243C22×D17—24no—
244C22×D17—24no—
245C22×D17—24no—
246C22×D17—24no—
247C22×D17—24no—
248C22×D17—24no—
249C22×D17—42no—
250C22×D17—41no—
251C22×D17—41no—
252C22×D17—41no—
253C22×D17—41no—
254C22×D17—42no—
255C22×D17—42no—
256C22×D17—42no—
257C22×D17—42no—
258C22×D17—42no—
259C22×D17C2×C4214yes—
260C22×D17C2×C4214yes—
261C22×D17C2×C22⋊C414yes—
262C22×D17#11714yes—
263C22×D17C4×D418yes—
264C22×D17C4×D418yes—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—24no—
268C2×C4×C17—24no—
269C2×C4×C17—24no—
270C2×C4×C17—22no—
271C2×C4×C17—24no—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—24no—
275C2×C4×C17—24no—
276C2×C4×C17—24no—
277C2×C4×C17—24no—
278C2×C4×C17—24no—
279C2×C4×C17—24no—
280C2×C4×C17—24no—
281C2×C4×C17—42no—
282C2×C4×C17—42no—
283C2×C4×C17—42no—
284C2×C4×C17—41no—
285C2×C4×C17—41no—
286C2×C4×C17—42no—
287C2×C4×C17—42no—
288C2×C4×C17—42no—
289C2×C4×C17—42no—
290C2×C4×C17—42no—
291C2×C4×C17—42no—
292C2×C4×C17C2×C4214yes—
293C2×C4×C17C2×C22⋊C414yes—
294C2×Dic17—24no—
295C2×Dic17—24no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—24no—
300C2×Dic17—24no—
301C2×Dic17—24no—
302C2×Dic17—24no—
303C2×Dic17—24no—
304C2×Dic17—24no—
305C2×Dic17—24no—
306C2×Dic17—42no—
307C2×Dic17—42no—
308C2×Dic17—42no—
309C2×Dic17—41no—
310C2×Dic17—41no—
311C2×Dic17—42no—
312C2×Dic17—42no—
313C2×Dic17—42no—
314C2×Dic17—42no—
315C2×Dic17—42no—
316C2×Dic17—42no—
317C2×Dic17C2×C22⋊C414yes—
318D68—232no—
319C4×D17—416no—
320C4×D17—416no—
321C4×D17—432no—
322C22×C4×D4—171no—
323C2×#386—172no—
324C2×C4×C22⋊C4—171no—
325C22×#95—171no—
326#1437—171no—
327#1437—171no—
328#1436—171no—
329#1436D1711yescharacteristic, complemented
330#1434—172no—
331C22⋊#95—172no—
332C22⋊#95—172no—
333C22×C17C22×C4211yescharacteristic
334C22×C17C22×C22⋊C411yescharacteristic
335C22×C17C2×#11711yescharacteristic
336C22×C17C2×C4×D412yes—
337C22×C17C2×C4×D412yes—
338C22×C17#51812yes—
339C22×C17#51812yes—
340C22×C17#51812yes—
341C22×C17#52012yes—
342C22×C17#52012yes—
343C22×C17#52012yes—
344C22×C17#53412yes—
345C22×C17#53411yescharacteristic
346C22×C17#53411yescharacteristic
347C22×C17#53511yescharacteristic
348C22×C17#53611yescharacteristic
349C22×C17#53712yes—
350C22×C17#53812yes—
351C22×C17#53812yes—
352C22×C17#53912yes—
353C22×C17#53912yes—
354C2×D17—24no—
355C2×D17—24no—
356C2×D17—28no—
357C2×D17—28no—
358C2×D17—28no—
359C2×D17—28no—
360C2×D17—28no—
361C2×D17—28no—
362C2×D17—24no—
363C2×D17—28no—
364C2×D17—42no—
365C2×D17—42no—
366C2×D17—44no—
367C2×D17—44no—
368C2×D17—44no—
369C2×D17—44no—
370C2×D17—44no—
371C2×D17C4×C22⋊C418yes—
372C4×C17—24no—
373C4×C17—24no—
374C4×C17—42no—
375C4×C17—44no—
376C4×C17—44no—
377Dic17—24no—
378Dic17—42no—
379Dic17—44no—
380Dic17—44no—
381C23×D4—171no—
382C24×C4—171no—
383C24×C4—171no—
384C24×C4—172no—
385C2×C4×D4—178no—
386C2×C4×D4—344no—
387C2×C4×D4—344no—
388C22×C4⋊C4C2×D1711yescharacteristic
389C22×C22⋊C4—171no—
390C22×C22⋊C4—171no—
391C22×C22⋊C4—172no—
392C22×C22⋊C4—172no—
393C22×C22⋊C4—172no—
394C22×C42—171no—
395C22×C42—171no—
396C22×C42C2×D1711yescharacteristic
397#386—1716no—
398C4×C22⋊C4—344no—
399C2×#95—172no—
400C2×#95—172no—
401C2×#95—172no—
402C2×#95—171no—
403C2×#95—172no—
404C2×#95—172no—
405C2×#95—172no—
406C2×#95—344no—
407C2×#95C2×D1711yescharacteristic
408C2×#95C2×D1712yes—
409C2×#95C2×D1712yes—
410C2×C17C2×C4×C22⋊C411yescharacteristic
411C2×C17#227512yes—
412C2×C17#230811yescharacteristic
413C2×C17#231111yescharacteristic
414C2×C17#231812yes—
415C2×C17#232112yes—
416C2×C17#232212yes—
417C2×C17#232512yes—
418C2×C17#232512yes—
419D17—28no—
420D17—44no—
421C25—171no—
422C25—171no—
423C22×D4—174no—
424C22×D4—178no—
425C22×D4—342no—
426C22×D4—342no—
427C22×D4—344no—
428C23×C4—171no—
429C23×C4—174no—
430C23×C4—174no—
431C23×C4—174no—
432C23×C4—172no—
433C23×C4—171no—
434C23×C4—172no—
435C23×C4—174no—
436C23×C4—178no—
437C23×C4—342no—
438C23×C4—342no—
439C23×C4—344no—
440C23×C4—344no—
441C23×C4—682no—
442C23×C4—682no—
443C23×C4—682no—
444C23×C4—682no—
445C23×C4—682no—
446C23×C4—682no—
447C23×C4—682no—
448C23×C4—682no—
449C23×C4C22×D1712yes—
450C23×C4C22×D1711yescharacteristic
451C23×C4C22×D1712yes—
452C23×C4C22×D1711yescharacteristic
453C23×C4C22×D1711yescharacteristic
454C4×D4—3432no—
455C2×C4⋊C4—22no—
456C2×C4⋊C4—22no—
457C2×C4⋊C4C4×D1714yescomplemented
458C2×C22⋊C4—174no—
459C2×C22⋊C4—174no—
460C2×C22⋊C4—178no—
461C2×C22⋊C4—178no—
462C2×C22⋊C4—178no—
463C2×C22⋊C4—342no—
464C2×C22⋊C4—342no—
465C2×C22⋊C4—344no—
466C2×C22⋊C4—344no—
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×C42—22no—
474C2×C42—42no—
475C2×C42—174no—
476C2×C42—342no—
477C2×C42—342no—
478C2×C42—342no—
479C2×C42—682no—
480#95—22no—
481#95—42no—
482#95—178no—
483#95—344no—
484#95—344no—
485#95—342no—
486#95—682no—
487#95—682no—
488#95—682no—
489#95C4×D1718yescomplemented
490C17#1378411yescharacteristic, complemented, Sylow
491C24—172no—
492C24—174no—
493C24—172no—
494C24—172no—
495C24—174no—
496C24—174no—
497C24—172no—
498C24—342no—
499C24—342no—
500C24—342no—
501C24—342no—
502C24—341no—
503C24—341no—
504C24—342no—
505C24—342no—
506C24—342no—
507C24—342no—
508C24—342no—
509C24C23×D1711yescharacteristic
510C2×D4—1716no—
511C2×D4—348no—
512C2×D4—348no—
513C2×D4—3416no—
514C2×D4—3416no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—172no—
537C22×C4—172no—
538C22×C4—172no—
539C22×C4—1716no—
540C22×C4—174no—
541C22×C4—174no—
542C22×C4—172no—
543C22×C4—348no—
544C22×C4—3416no—
545C22×C4—342no—
546C22×C4—342no—
547C22×C4—342no—
548C22×C4—342no—
549C22×C4—341no—
550C22×C4—341no—
551C22×C4—342no—
552C22×C4—342no—
553C22×C4—342no—
554C22×C4—342no—
555C22×C4—342no—
556C22×C4—342no—
557C22×C4—342no—
558C22×C4—342no—
559C22×C4—342no—
560C22×C4—342no—
561C22×C4—342no—
562C22×C4—342no—
563C22×C4—688no—
564C22×C4—688no—
565C22×C4—684no—
566C22×C4—684no—
567C22×C4—688no—
568C22×C4—688no—
569C22×C4—688no—
570C22×C4—688no—
571C22×C4—684no—
572C22×C4—684no—
573C22×C4—688no—
574C22×C4—688no—
575C22×C4—688no—
576C22×C4—688no—
577C22×C4C2×C4×D1714yes—
578C22×C4C2×C4×D1714yes—
579C22×C4C2×C4×D1712yes—
580C22×C4C2×C4×D1714yes—
581C22×C4C2×C4×D1712yes—
582C22×C4C2×C4×D1712yes—
583C22×C4D4×D1712yes—
584C22×C4D4×D1712yes—
585C4⋊C4—28no—
586C22⋊C4—348no—
587C22⋊C4—3416no—
588C22⋊C4—348no—
589C22⋊C4—688no—
590C22⋊C4—688no—
591C42—44no—
592C42—348no—
593C42—684no—
594C23—174no—
595C23—174no—
596C23—174no—
597C23—178no—
598C23—178no—
599C23—174no—
600C23—344no—
601C23—344no—
602C23—344no—
603C23—344no—
604C23—344no—
605C23—344no—
606C23—344no—
607C23—342no—
608C23—342no—
609C23—342no—
610C23—342no—
611C23—344no—
612C23—344no—
613C23—344no—
614C23—344no—
615C23—344no—
616C23—342no—
617C23—342no—
618C23—344no—
619C23—344no—
620C23—344no—
621C23—344no—
622C23—344no—
623C23—344no—
624C23—344no—
625C23—344no—
626C23—682no—
627C23—681no—
628C23—681no—
629C23—681no—
630C23—681no—
631C23—682no—
632C23—682no—
633C23—682no—
634C23—682no—
635C23—682no—
636C23C22×C4×D1711yescharacteristic
637C23C22×C4×D1712yes—
638C23C2×D4×D1711yescharacteristic
639C23C2×D4×D1711yescharacteristic
640C23#1058769112yes—
641C23#1058769412yes—
642C23#41×D1712yes—
643C23#1058769612yes—
644C23#1058769612yes—
645D4—3432no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
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—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—174no—
674C2×C4—344no—
675C2×C4—344no—
676C2×C4—342no—
677C2×C4—342no—
678C2×C4—342no—
679C2×C4—344no—
680C2×C4—344no—
681C2×C4—344no—
682C2×C4—344no—
683C2×C4—344no—
684C2×C4—344no—
685C2×C4—344no—
686C2×C4—6816no—
687C2×C4—6816no—
688C2×C4—6832no—
689C2×C4—682no—
690C2×C4—682no—
691C2×C4—682no—
692C2×C4—681no—
693C2×C4—681no—
694C2×C4—682no—
695C2×C4—682no—
696C2×C4—682no—
697C2×C4—682no—
698C2×C4—682no—
699C2×C4—682no—
700C2×C4C42×D1714yes—
701C2×C4C22⋊C4×D1714yes—
702C22—178no—
703C22—344no—
704C22—344no—
705C22—348no—
706C22—348no—
707C22—348no—
708C22—348no—
709C22—348no—
710C22—348no—
711C22—344no—
712C22—348no—
713C22—682no—
714C22—682no—
715C22—684no—
716C22—684no—
717C22—684no—
718C22—684no—
719C22—684no—
720C22C2×C42×D1711yescharacteristic
721C22C2×C22⋊C4×D1711yescharacteristic
722C22#117×D1711yescharacteristic
723C22C4×D4×D1712yes—
724C22C4×D4×D1712yes—
725C22#1176328112yes—
726C22#1176328112yes—
727C22#1176328312yes—
728C22#1176329012yes—
729C22#1176329112yes—
730C22#1176329112yes—
731C22#1176336712yes—
732C22#1176336911yescharacteristic
733C22#1176337011yescharacteristic
734C22#1176337711yescharacteristic
735C22#1176338411yescharacteristic
736C22#1176338912yes—
737C22#1176339512yes—
738C22#1176339812yes—
739C22#1176340512yes—
740C22#1176340712yes—
741C4—24no—
742C4—24no—
743C4—42no—
744C4—44no—
745C4—44no—
746C4—344no—
747C4—682no—
748C4—684no—
749C4—684no—
750C2—348no—
751C2—684no—
752C2C4×C22⋊C4×D1711yescharacteristic
753C2#1453114412yes—
754C2#1453135811yescharacteristic
755C2#1453137511yescharacteristic
756C2#1453141612yes—
757C2#1453143712yes—
758C2#1453144812yes—
759C2#1453148112yes—
760C2#1453148312yes—
subgroupG/H
center, FrattiniC24C23×D17
commutatorC22×C17C22×C42
FittingC17×#1436C2
socle, cosocleC24×C17C24
prime radicalC23×D68C22
hypercenter#1436D17
hypocenterC17#13784
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1436

Complements

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

NH ≅ G/Ntype
3. C2×C4×#63227C2semidirect
4. C2×#95×D17C2semidirect
5. #14527022C2semidirect
6. #14527020C2semidirect
7. #14527016C2semidirect
8. #14527009C2semidirect
9. #14527005C2semidirect
10. #14527005C2semidirect
11. C17×#1436C2semidirect
18. C2×#10587579C4semidirect
26. #11762687C4semidirect
70. C22×C4×D17C2×C4semidirect
71. C22×C4×D17C2×C4semidirect
76. C2×C4⋊C4×C17C2×C4semidirect
90. C2×#63227C2×C4semidirect
91. C2×#63227C2×C4semidirect
92. C2×#63227C2×C4semidirect
93. C2×#63227C2×C4semidirect
98. C2×C4×Dic17C2×C4semidirect
102. C17×#95C2×C4semidirect
109. #10587502C2×C4semidirect
186. C2×D68C42semidirect
203. C2×C4×D17C22⋊C4semidirect
329. #1436D17semidirect
457. C2×C4⋊C4C4×D17semidirect
489. #95C4×D17semidirect
490. C17#13784semidirect

Maximal subgroups

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

subgroupindex
C22×#105875792
C2×#117626872
C2×C4×#632272
C2×#95×D172
#145270222
#145270202
#145270162
#145270092
#145270052
C17×#14362
#1378417