Finite Group Databasebeta

← #16965651

Subgroups — #16965651

Order 4352.

2842 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×#10587569C211yesmaximal, characteristic
2C22×C42×D17C211yesmaximal, characteristic, complemented
3C2×#11762685C212yesmaximal
4C2×#11762671C211yesmaximal, characteristic, complemented
5#14527021C212yesmaximal, complemented
6#14527021C211yesmaximal, characteristic, complemented
7#14527019C211yesmaximal, characteristic, complemented
8#14527018C212yesmaximal, complemented
9#14527017C211yesmaximal, characteristic, complemented
10#14527005C212yesmaximal, complemented
11C17×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D17C2211yescharacteristic
13C23×C4×D17C2212yes—
14C23×C4×D17C2211yescharacteristic
15C2×#10587569—24no—
16C2×#10587569—24no—
17C2×#10587569C418yescomplemented
18C22×C4⋊Dic17C2211yescharacteristic
19C22×#63225C2211yescharacteristic
20C22×C22⋊Dic17C2212yes—
21C22×C22⋊Dic17C2211yescharacteristic
22C22×#63227C2212yes—
23C22×#63227C2211yescharacteristic
24C22×C4×Dic17C2212yes—
25C22×C4×Dic17C2211yescharacteristic
26C2×C42×D17—28no—
27C2×C42×D17—24no—
28#11762685—28no—
29#11762671—24no—
30C2×#10587502C2212yes—
31C2×#10587502C2212yes—
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C2×#10587502C2211yescharacteristic
35C2×#10587502C2212yes—
36C2×#10587502C2212yes—
37C22×C22⋊C4×C17C2212yes—
38C22×C22⋊C4×C17C2211yescharacteristic
39C22×C42×C17C2211yescharacteristic
40C2×C17×#95C2212yes—
41C2×C17×#95C2211yescharacteristic
42C25×C17C2311yescharacteristic
43C24×D17C2311yescharacteristic
44C23×C4×C17C2312yes—
45C23×C4×C17C2311yescharacteristic
46C23×C4×C17C2311yescharacteristic
47C23×C4×C17C2312yes—
48C22×C22⋊D17—22no—
49C22×C22⋊D17—22no—
50C22×C22⋊D17—24no—
51C22×C22⋊D17—24no—
52C22×C22⋊D17C2×C414yes—
53C23×Dic17C2312yes—
54C23×Dic17C2311yescharacteristic
55C23×Dic17C2311yescharacteristic
56C23×Dic17C2311yescharacteristic
57C23×Dic17C2312yes—
58C22×C4×D17—24no—
59C22×C4×D17—24no—
60C22×C4×D17—24no—
61C22×C4×D17—24no—
62C22×C4×D17—24no—
63C22×C4×D17—24no—
64C22×C4×D17—24no—
65C22×C4×D17—24no—
66C22×C4×D17C2×C414yes—
67C22×C4×D17D418yes—
68C22×C4×D17D414yes—
69C22×C4×D17D414yes—
70C2×C22⋊C4×C17—22no—
71C2×C22⋊C4×C17—22no—
72C2×C22⋊C4×C17—24no—
73C2×C22⋊C4×C17—24no—
74C2×C22⋊C4×C17—24no—
75C2×C22⋊C4×C17C2×C414yescomplemented
76C2×C42×C17—22no—
77C2×C42×C17—24no—
78C2×C22⋊Dic17—22no—
79C2×C22⋊Dic17—22no—
80C2×C22⋊Dic17—24no—
81C2×C22⋊Dic17—24no—
82C2×C22⋊Dic17—24no—
83C2×C22⋊Dic17C2×C414yescomplemented
84C2×#63227—22no—
85C2×#63227—22no—
86C2×#63227—24no—
87C2×#63227—24no—
88C2×#63227—24no—
89C2×#63227C2×C414yes—
90C2×C4⋊Dic17—22no—
91C2×C4⋊Dic17—22no—
92C2×C4⋊Dic17C2×C414yescomplemented
93C2×#63225—22no—
94C2×#63225—22no—
95C2×#63225C2×C414yescomplemented
96C2×C4×Dic17—22no—
97C2×C4×Dic17—24no—
98C2×C4×Dic17—24no—
99C2×C4×Dic17—24no—
100C2×C4×Dic17—24no—
101#10587569—232no—
102C42×D17—232no—
103C17×#95—22no—
104C17×#95—24no—
105#10587502—22no—
106#10587502—24no—
107#10587502—24no—
108#10587502—24no—
109#10587502—24no—
110#10587502—24no—
111#10587502—24no—
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×C17C22×C412yes—
121C24×C17C2411yescharacteristic
122C23×D17—22no—
123C23×D17—22no—
124C23×D17—22no—
125C23×D17—22no—
126C23×D17C22×C412yes—
127C23×D17C2×D412yes—
128C23×D17C2×D412yes—
129C23×D17C2×D414yes—
130C23×D17#4114yes—
131C22×C4×C17—22no—
132C22×C4×C17—22no—
133C22×C4×C17—22no—
134C22×C4×C17—22no—
135C22×C4×C17—22no—
136C22×C4×C17—22no—
137C22×C4×C17—21no—
138C22×C4×C17—21no—
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—
152C22×C4×C17C2×D414yes—
153C22×C4×C17#4114yes—
154C22×C4×C17#4114yes—
155C2×C22⋊D17—28no—
156C2×C22⋊D17—216no—
157C2×C22⋊D17—44no—
158C2×C22⋊D17—48no—
159C2×C22⋊D17—44no—
160C22×Dic17—22no—
161C22×Dic17—22no—
162C22×Dic17—22no—
163C22×Dic17—22no—
164C22×Dic17—22no—
165C22×Dic17—22no—
166C22×Dic17—22no—
167C22×Dic17—21no—
168C22×Dic17—21no—
169C22×Dic17—21no—
170C22×Dic17—21no—
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×D414yes—
187C22×Dic17#4114yes—
188C22×Dic17#4114yes—
189C2×C4×D17—216no—
190C2×C4×D17—216no—
191C2×C4×D17—216no—
192C2×C4×D17—216no—
193C2×C4×D17—216no—
194C2×C4×D17—216no—
195C2×C4×D17—28no—
196C2×C4×D17—216no—
197C2×C4×D17—28no—
198C2×C4×D17—216no—
199C2×C4×D17—216no—
200C2×C4×D17C22⋊C4116yescomplemented
201C22⋊C4×C17—28no—
202C22⋊C4×C17—48no—
203C42×C17—28no—
204C22⋊Dic17—28no—
205C22⋊Dic17—48no—
206#63227—28no—
207#63227—48no—
208C4⋊Dic17—28no—
209#63225—28no—
210C4×Dic17—28no—
211C4×Dic17—216no—
212#14706—171nomaximal, Sylow
213C23×C17—22no—
214C23×C17—24no—
215C23×C17—24no—
216C23×C17—22no—
217C23×C17—22no—
218C23×C17—41no—
219C23×C17—42no—
220C23×C17—42no—
221C23×C17—42no—
222C23×C17—41no—
223C23×C17—42no—
224C23×C17—42no—
225C23×C17—42no—
226C23×C17—42no—
227C23×C17—42no—
228C23×C17—42no—
229C23×C17—42no—
230C23×C17—42no—
231C23×C17—42no—
232C23×C17—41no—
233C23×C17—41no—
234C23×C17C23×C411yescharacteristic
235C23×C17C22×D411yescharacteristic
236C23×C17C22×D411yescharacteristic
237C23×C17C22×D412yes—
238C23×C17C2×#4112yes—
239C23×C17C2×#4112yes—
240C23×C17C2×#4112yes—
241C23×C17C2×#4112yes—
242C23×C17C2×#4112yes—
243C22×D17—24no—
244C22×D17—22no—
245C22×D17—22no—
246C22×D17—24no—
247C22×D17—24no—
248C22×D17—24no—
249C22×D17—24no—
250C22×D17—24no—
251C22×D17—24no—
252C22×D17—24no—
253C22×D17—24no—
254C22×D17—24no—
255C22×D17—24no—
256C22×D17—24no—
257C22×D17—22no—
258C22×D17—22no—
259C22×D17C2×C22⋊C414yes—
260C22×D17C4×D418yes—
261C22×D17#12014yes—
262C22×D17#12118yes—
263C22×D17#12314yes—
264C2×C4×C17—24no—
265C2×C4×C17—24no—
266C2×C4×C17—22no—
267C2×C4×C17—24no—
268C2×C4×C17—24no—
269C2×C4×C17—22no—
270C2×C4×C17—24no—
271C2×C4×C17—24no—
272C2×C4×C17—24no—
273C2×C4×C17—24no—
274C2×C4×C17—22no—
275C2×C4×C17—24no—
276C2×C4×C17—42no—
277C2×C4×C17—41no—
278C2×C4×C17—41no—
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—
287C2×C4×C17#12318yescomplemented
288C22⋊D17—416no—
289C2×Dic17—24no—
290C2×Dic17—24no—
291C2×Dic17—22no—
292C2×Dic17—24no—
293C2×Dic17—22no—
294C2×Dic17—24no—
295C2×Dic17—24no—
296C2×Dic17—24no—
297C2×Dic17—24no—
298C2×Dic17—24no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—24no—
302C2×Dic17—22no—
303C2×Dic17—22no—
304C2×Dic17—41no—
305C2×Dic17—42no—
306C2×Dic17—41no—
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×Dic17C2×C22⋊C414yes—
317C2×Dic17#12318yescomplemented
318C4×D17—264no—
319C4×D17—232no—
320C22×#123—171no—
321C23×C42—171no—
322C2×#386—172no—
323C2×#381—171no—
324#1437—172no—
325#1437—171no—
326#1437D1711yescharacteristic, complemented
327#1436—171no—
328#1436—172no—
329#1436—171no—
330C22⋊#95—172no—
331C22×C17—42no—
332C22×C17—42no—
333C22×C17—42no—
334C22×C17—44no—
335C22×C17—44no—
336C22×C17—82no—
337C22×C17—82no—
338C22×C17—82no—
339C22×C17—82no—
340C22×C17C22×C22⋊C411yescharacteristic
341C22×C17C2×C4×D412yes—
342C22×C17C4×#4112yes—
343C22×C17C4×#4111yescharacteristic
344C22×C17C4×#4111yescharacteristic
345C22×C17C2×#12011yescharacteristic
346C22×C17C2×#12112yes—
347C22×C17C2×#12312yes—
348C22×C17C2×#12311yescharacteristic
349C22×C17C2×#12312yes—
350C22×C17#52512yes—
351C22×C17#52512yes—
352C22×C17#52512yes—
353C22×C17#52512yes—
354C22×C17#52912yes—
355C22×C17#52912yes—
356C22×C17#52912yes—
357C22×C17#52912yes—
358C22×C17#53212yes—
359C22×C17#53211yescharacteristic
360C22×C17#53211yescharacteristic
361C2×D17—28no—
362C2×D17—28no—
363C2×D17—28no—
364C2×D17—28no—
365C2×D17—24no—
366C2×D17—24no—
367C2×D17—28no—
368C2×D17—28no—
369C2×D17#38618yes—
370C4×C17—28no—
371C4×C17—24no—
372C4×C17—42no—
373C4×C17—82no—
374Dic17—28no—
375Dic17—24no—
376Dic17—42no—
377Dic17—42no—
378Dic17—82no—
379C23×D4—171no—
380C24×C4—171no—
381C24×C4—172no—
382C2×#123—178no—
383C2×#123—344no—
384C2×#123—344no—
385C22×C4⋊C4—171no—
386C22×C4⋊C4—171no—
387C22×C22⋊C4—171no—
388C22×C22⋊C4—171no—
389C22×C22⋊C4—172no—
390C22×C22⋊C4—172no—
391C22×C22⋊C4C2×D1712yes—
392C22×C22⋊C4C2×D1711yescharacteristic
393C22×C42—172no—
394C22×C42—171no—
395C22×C42—344no—
396C22×C42—348no—
397C22×C42C2×D1711yescharacteristic
398#386—348no—
399#381—344no—
400C2×#95—172no—
401C2×#95—172no—
402C2×#95—172no—
403C2×#95—172no—
404C2×#95—172no—
405C2×#95—172no—
406C2×#95—171no—
407C2×#95C2×D1712yes—
408C2×#95C2×D1711yescharacteristic
409C2×C17—82no—
410C2×C17C2×#38611yescharacteristic
411C2×C17#229711yescharacteristic
412C2×C17#229711yescharacteristic
413C2×C17C4×#12312yes—
414C2×C17C4×#12312yes—
415C2×C17#284912yes—
416C2×C17#285312yes—
417C2×C17#285412yes—
418C2×C17#285412yes—
419D17—28no—
420C25—171no—
421C25C22×D1711yescharacteristic
422C22×D4—174no—
423C22×D4—342no—
424C22×D4—342no—
425C22×D4—344no—
426C22×D4—344no—
427C23×C4—171no—
428C23×C4—172no—
429C23×C4—174no—
430C23×C4—174no—
431C23×C4—174no—
432C23×C4—171no—
433C23×C4—171no—
434C23×C4—178no—
435C23×C4—172no—
436C23×C4—344no—
437C23×C4—344no—
438C23×C4—344no—
439C23×C4—344no—
440C23×C4—344no—
441C23×C4—344no—
442C23×C4—344no—
443C23×C4—344no—
444C23×C4C22×D1712yes—
445C23×C4C22×D1711yescharacteristic
446C23×C4C22×D1711yescharacteristic
447C23×C4C22×D1712yes—
448#123—3432no—
449C2×C4⋊C4—174no—
450C2×C4⋊C4—174no—
451C2×C4⋊C4—342no—
452C2×C4⋊C4—342no—
453C2×C4⋊C4—342no—
454C2×C4⋊C4—342no—
455C2×C22⋊C4—22no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4—24no—
458C2×C22⋊C4—24no—
459C2×C22⋊C4—24no—
460C2×C22⋊C4—174no—
461C2×C22⋊C4—174no—
462C2×C22⋊C4—342no—
463C2×C22⋊C4—342no—
464C2×C22⋊C4—342no—
465C2×C22⋊C4—342no—
466C2×C22⋊C4—344no—
467C2×C22⋊C4—344no—
468C2×C22⋊C4—344no—
469C2×C22⋊C4—344no—
470C2×C22⋊C4—344no—
471C2×C22⋊C4—344no—
472C2×C22⋊C4C4×D1714yescomplemented
473C2×C42—22no—
474C2×C42—24no—
475C2×C42—3432no—
476C2×C42—344no—
477C2×C42—344no—
478C2×C42—344no—
479C2×C42—342no—
480C2×C42—344no—
481#95—22no—
482#95—24no—
483#95—344no—
484#95—344no—
485#95—344no—
486#95—344no—
487#95—344no—
488#95—342no—
489#95—344no—
490C17#1470611yescharacteristic, complemented, Sylow
491C24—22no—
492C24—21no—
493C24—21no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—22no—
499C24—172no—
500C24—172no—
501C24—172no—
502C24—174no—
503C24—174no—
504C24—342no—
505C24—342no—
506C24—342no—
507C24—342no—
508C24C2×C4×D1712yes—
509C24C23×D1711yescharacteristic
510C2×D4—348no—
511C2×D4—3416no—
512C2×D4—684no—
513C2×D4—688no—
514C2×D4—684no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
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—22no—
532C22×C4—172no—
533C22×C4—172no—
534C22×C4—174no—
535C22×C4—172no—
536C22×C4—174no—
537C22×C4—174no—
538C22×C4—1716no—
539C22×C4—172no—
540C22×C4—172no—
541C22×C4—3416no—
542C22×C4—348no—
543C22×C4—3416no—
544C22×C4—3416no—
545C22×C4—3416no—
546C22×C4—348no—
547C22×C4—3416no—
548C22×C4—3416no—
549C22×C4—3416no—
550C22×C4—3416no—
551C22×C4—342no—
552C22×C4—342no—
553C22×C4—342no—
554C22×C4—342no—
555C22×C4—342no—
556C22×C4—342no—
557C22×C4—3416no—
558C22×C4—342no—
559C22×C4—342no—
560C22×C4—341no—
561C22×C4—341no—
562C22×C4—341no—
563C22×C4—341no—
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×C4C2×C4×D1712yes—
574C22×C4C2×C4×D1712yes—
575C22×C4#6325214yes—
576C22×C4D4×D1712yes—
577C22×C4D4×D1712yes—
578C22×C4D4×D1714yes—
579C22×C4#6325414yes—
580C4⋊C4—348no—
581C4⋊C4—348no—
582C22⋊C4—28no—
583C22⋊C4—48no—
584C22⋊C4—348no—
585C22⋊C4—348no—
586C22⋊C4—688no—
587C22⋊C4—688no—
588C42—28no—
589C42—3416no—
590C42—348no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—22no—
595C23—22no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—41no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—41no—
611C23—41no—
612C23—174no—
613C23—178no—
614C23—174no—
615C23—178no—
616C23—174no—
617C23—344no—
618C23—342no—
619C23—342no—
620C23—344no—
621C23—344no—
622C23—344no—
623C23—344no—
624C23—344no—
625C23—344no—
626C23—344no—
627C23—344no—
628C23—344no—
629C23—344no—
630C23—344no—
631C23—342no—
632C23—342no—
633C23C22×C4×D1711yescharacteristic
634C23C2×#6325212yes—
635C23C2×D4×D1711yescharacteristic
636C23C2×D4×D1711yescharacteristic
637C23C2×D4×D1712yes—
638C23C2×#6325412yes—
639C23#41×D1712yes—
640C23#41×D1712yes—
641C23#41×D1712yes—
642D4—6816no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—174no—
666C2×C4—178no—
667C2×C4—3432no—
668C2×C4—3464no—
669C2×C4—344no—
670C2×C4—344no—
671C2×C4—342no—
672C2×C4—344no—
673C2×C4—342no—
674C2×C4—344no—
675C2×C4—344no—
676C2×C4—344no—
677C2×C4—344no—
678C2×C4—344no—
679C2×C4—342no—
680C2×C4—342no—
681C2×C4—344no—
682C2×C4—342no—
683C2×C4—342no—
684C2×C4—681no—
685C2×C4—682no—
686C2×C4—681no—
687C2×C4—682no—
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×C4C22⋊C4×D1714yes—
697C2×C4#1058756918yescomplemented
698C22—42no—
699C22—42no—
700C22—42no—
701C22—44no—
702C22—44no—
703C22—82no—
704C22—82no—
705C22—82no—
706C22—82no—
707C22—178no—
708C22—348no—
709C22—348no—
710C22—348no—
711C22—348no—
712C22—344no—
713C22—344no—
714C22—348no—
715C22—348no—
716C22C2×C22⋊C4×D1711yescharacteristic
717C22C4×D4×D1712yes—
718C22C4×#6325412yes—
719C22#1176327711yescharacteristic
720C22C4×#6325211yescharacteristic
721C22#120×D1711yescharacteristic
722C22#121×D1712yes—
723C22#123×D1712yes—
724C22#123×D1711yescharacteristic
725C22C2×#1058756912yes—
726C22#1176331812yes—
727C22#1176331812yes—
728C22#1176331912yes—
729C22#1176331912yes—
730C22#1176333712yes—
731C22#1176333812yes—
732C22#1176334112yes—
733C22#1176334212yes—
734C22#1176335612yes—
735C22#1176335711yescharacteristic
736C22#1176335811yescharacteristic
737C4—28no—
738C4—24no—
739C4—42no—
740C4—82no—
741C4—348no—
742C4—344no—
743C4—682no—
744C4—682no—
745C4—1362no—
746C2—82no—
747C2—348no—
748C2D17×#38611yescharacteristic
749C2#1453127011yescharacteristic
750C2#1453127111yescharacteristic
751C2C4×#1058756912yes—
752C2#1453131112yes—
753C2#1453707512yes—
754C2#1453710412yes—
755C2#1453711112yes—
756C2#1453711412yes—
subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC17×#1437C2
socle, cosocleC24×C17C24
prime radicalC23×C22⋊D17C22
hypercenter#1437D17
hypocenterC17#14706
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C22×C42×D17C2semidirect
4. C2×#11762671C2semidirect
5. #14527021C2semidirect
6. #14527021C2semidirect
7. #14527019C2semidirect
8. #14527018C2semidirect
9. #14527017C2semidirect
10. #14527005C2semidirect
11. C17×#1437C2semidirect
17. C2×#10587569C4semidirect
75. C2×C22⋊C4×C17C2×C4semidirect
83. C2×C22⋊Dic17C2×C4semidirect
92. C2×C4⋊Dic17C2×C4semidirect
95. C2×#63225C2×C4semidirect
200. C2×C4×D17C22⋊C4semidirect
287. C2×C4×C17#123semidirect
317. C2×Dic17#123semidirect
326. #1437D17semidirect
472. C2×C22⋊C4C4×D17semidirect
490. C17#14706semidirect
697. C2×C4#10587569semidirect

Maximal subgroups

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

subgroupindex
C22×#105875692
C22×C42×D172
C2×#117626852
C2×#117626712
#145270212
#145270192
#145270182
#145270172
#145270052
C17×#14372
#1470617