Finite Group Databasebeta

← #16939628

Subgroups — #16939628

Order 4352.

1334 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×M16×D17C211yesmaximal, characteristic
2C2×#11762772C211yesmaximal, characteristic
3#14531163C211yesmaximal, characteristic
4C2×#11762581C211yesmaximal, characteristic, complemented
5C2×#11762580C211yesmaximal, characteristic, complemented
6C2×#11762579C211yesmaximal, characteristic, complemented
7C2×C17×#344C211yesmaximal, characteristic, complemented
8C23×C4×D17C2211yescharacteristic
9C22×#63223C2211yescharacteristic
10C22×#63223C2211yescharacteristic
11C22×#63218—21no—
12C2×M16×D17—22no—
13C2×M16×D17—22no—
14C2×M16×D17—22no—
15C2×M16×D17—22no—
16C2×M16×D17—22no—
17C2×M16×D17C414yescomplemented
18C22×C8×D17—21no—
19C2×#10587612C2211yescharacteristic
20#11762772—21no—
21#11762772—21no—
22#11762772—22no—
23C2×#10587491C414yescomplemented
24#11762670C412yes—
25#11762666—22no—
26#11762664C412yes—
27C4×#63227—22no—
28#11762581—22no—
29#11762580—22no—
30#11762579—22no—
31C22×M16×C17C2211yescharacteristic
32C22×M16×C17C2211yescharacteristic
33C2×C17×#117C2211yescharacteristic
34C17×#344—22no—
35C24×D17C2×C411yescharacteristic
36C23×C4×C17C2311yescharacteristic
37C23×Dic17C2×C411yescharacteristic
38C22×C4×D17—21no—
39C22×C4×D17—21no—
40C22×C4×D17—21no—
41C22×C4×D17—21no—
42C22×C4×D17—21no—
43C22×C4×D17—21no—
44C22×C4×D17—21no—
45C22×C4×D17—21no—
46C22×C4×D17C2×C412yes—
47C22×C4×D17C2×C412yes—
48C22×C4×D17D411yescharacteristic
49C22×C4×D17D411yescharacteristic
50C22×C4×D17D412yes—
51C22×C4×D17D412yes—
52C22×C4×D17Q811yescharacteristic
53C22×C4×D17Q811yescharacteristic
54C2×M16×C17—21no—
55C2×M16×C17—21no—
56C2×M16×C17—21no—
57C2×M16×C17—21no—
58C2×M16×C17—21no—
59C2×M16×C17—21no—
60C2×M16×C17—21no—
61C2×M16×C17—21no—
62C2×M16×C17—21no—
63C2×M16×C17C2×C412yes—
64C2×M16×C17D412yes—
65C2×M16×C17D412yes—
66C22×C8×C17—21no—
67C22×C8×C17C2×C412yes—
68C17×#117—21no—
69C17×#117—21no—
70C17×#117—21no—
71C17×#117—21no—
72C2×C4⋊C4×C17—21no—
73C2×C22⋊C4×C17C2×C412yes—
74C2×C42×C17—21no—
75C2×C22⋊Dic17C2×C412yes—
76C2×#63227—24no—
77#10587612—21no—
78#10587612—21no—
79#10587612—21no—
80#10587612—21no—
81C2×C4⋊Dic17—21no—
82C2×C4×Dic17—21no—
83C2×#63223—21no—
84C2×#63223—21no—
85C2×#63223—21no—
86C2×#63223—21no—
87C2×#63223—21no—
88C2×#63223—21no—
89C2×#63223—21no—
90C2×#63223—21no—
91C2×#63223—21no—
92C2×#63223C2×C412yes—
93C2×#63223D412yes—
94C2×#63223D412yes—
95C22×#3622—21no—
96C22×#3622C2×C412yes—
97M16×D17—28no—
98M16×D17—28no—
99M16×D17—28no—
100M16×D17—28no—
101C2×#63218—24no—
102C2×#63218—24no—
103C2×#63218—24no—
104C2×C8×D17—24no—
105C2×C8×D17—24no—
106C2×C8×D17—24no—
107#10587502—24no—
108#10587491—24no—
109#10587491—24no—
110C24×C17C22×C411yescharacteristic
111C23×D17—21no—
112C23×D17—21no—
113C23×D17—21no—
114C23×D17—21no—
115C23×D17—44no—
116C23×D17C4212yes—
117C23×D17C22⋊C412yes—
118C23×D17C4⋊C411yescharacteristic
119C23×D17C4⋊C411yescharacteristic
120C22×C4×C17—22no—
121C22×C4×C17C22×C411yescharacteristic
122C22×C4×C17C22×C411yescharacteristic
123C22×C4×C17C2×D411yescharacteristic
124C22×C4×C17C2×D411yescharacteristic
125C22×C4×C17C2×D411yescharacteristic
126C22×C4×C17C2×D411yescharacteristic
127C22×C4×C17C2×D411yescharacteristic
128C22×C4×C17C2×D411yescharacteristic
129C22×C4×C17C2×D411yescharacteristic
130C22×C4×C17C2×Q811yescharacteristic
131C22×C4×C17#4111yescharacteristic
132C22×C4×C17#4111yescharacteristic
133C22×C4×C17#4111yescharacteristic
134C22×C4×C17#4111yescharacteristic
135C22×Dic17—21no—
136C22×Dic17—21no—
137C22×Dic17—21no—
138C22×Dic17—21no—
139C22×Dic17—22no—
140C22×Dic17C4212yes—
141C22×Dic17C22⋊C412yes—
142C22×Dic17C4⋊C411yescharacteristic
143C22×Dic17C4⋊C411yescharacteristic
144C2×C4×D17—22no—
145C2×C4×D17—22no—
146C2×C4×D17—22no—
147C2×C4×D17—22no—
148C2×C4×D17—22no—
149C2×C4×D17—22no—
150C2×C4×D17—22no—
151C2×C4×D17—22no—
152C2×C4×D17—21no—
153C2×C4×D17—21no—
154C2×C4×D17—21no—
155C2×C4×D17—21no—
156C2×C4×D17—22no—
157C2×C4×D17—22no—
158C2×C4×D17—22no—
159C2×C4×D17—22no—
160C2×C4×D17—22no—
161C2×C4×D17—22no—
162C2×C4×D17—21no—
163C2×C4×D17—21no—
164C2×C4×D17—21no—
165C2×C4×D17—21no—
166C2×C4×D17—21no—
167C2×C4×D17—21no—
168C2×C4×D17—21no—
169C2×C4×D17—21no—
170C2×C4×D17—22no—
171C2×C4×D17—21no—
172C2×C4×D17—21no—
173C2×C4×D17—22no—
174C2×C4×D17—21no—
175C2×C4×D17—21no—
176C2×C4×D17C22⋊C412yes—
177C2×C4×D17C22⋊C412yes—
178C2×C4×D17C22⋊C412yes—
179C2×C4×D17C22⋊C412yes—
180C2×C4×D17C4⋊C412yes—
181C2×C4×D17C4⋊C412yes—
182C2×C4×D17C4⋊C412yes—
183C2×C4×D17C4⋊C412yes—
184M16×C17—22no—
185M16×C17—22no—
186M16×C17—22no—
187M16×C17—41no—
188M16×C17—41no—
189M16×C17—41no—
190M16×C17—41no—
191M16×C17C22⋊C414yescomplemented
192C2×C8×C17—22no—
193C2×C8×C17—22no—
194C2×C8×C17—22no—
195C2×C8×C17—22no—
196C2×C8×C17—22no—
197C2×C8×C17—22no—
198C4⋊C4×C17—41no—
199C4⋊C4×C17—41no—
200C22⋊C4×C17—22no—
201C22⋊C4×C17—22no—
202C42×C17—41no—
203C42×C17—41no—
204C22⋊Dic17—22no—
205C22⋊Dic17—22no—
206#63227—48no—
207C4⋊Dic17—41no—
208C4⋊Dic17—41no—
209C4×Dic17—41no—
210C4×Dic17—41no—
211#63223—22no—
212#63223—22no—
213#63223—22no—
214#63223—41no—
215#63223—41no—
216#63223—41no—
217#63223—41no—
218#63223C22⋊C414yescomplemented
219C2×#3622—22no—
220C2×#3622—22no—
221C2×#3622—22no—
222C2×#3622—22no—
223C2×#3622—22no—
224C2×#3622—22no—
225#63218—216no—
226C8×D17—216no—
227#10737—171nomaximal, Sylow
228C23×C17—42no—
229C23×C17C2×C4211yescharacteristic
230C23×C17C2×C22⋊C411yescharacteristic
231C23×C17C2×C4⋊C411yescharacteristic
232C23×C17C4×D411yescharacteristic
233C23×C17C4×D411yescharacteristic
234C23×C17C4×D411yescharacteristic
235C23×C17C4×D411yescharacteristic
236C22×D17—21no—
237C22×D17—21no—
238C22×D17—24no—
239C22×D17—22no—
240C22×D17—22no—
241C22×D17—21no—
242C22×D17—21no—
243C22×D17—22no—
244C22×D17—22no—
245C22×D17—24no—
246C22×D17—24no—
247C22×D17—42no—
248C22×D17—42no—
249C22×D17—42no—
250C22×D17—44no—
251C22×D17—44no—
252C22×D17—44no—
253C22×D17—44no—
254C22×D17#9512yes—
255C22×D17#9512yes—
256C2×C4×C17—44no—
257C2×C4×C17—42no—
258C2×C4×C17C2×C22⋊C411yescharacteristic
259C2×C4×C17C2×C22⋊C411yescharacteristic
260C2×C4×C17C2×C22⋊C411yescharacteristic
261C2×C4×C17C2×C22⋊C411yescharacteristic
262C2×C4×C17C2×C4⋊C411yescharacteristic
263C2×C4×C17C2×C4⋊C411yescharacteristic
264C2×C4×C17#11711yescharacteristic
265C2×C4×C17#11711yescharacteristic
266C2×C4×C17C4×D411yescharacteristic
267C2×C4×C17C4×D411yescharacteristic
268C2×C4×C17C4×D411yescharacteristic
269C2×C4×C17C4×D411yescharacteristic
270C2×C4×C17#12011yescharacteristic
271C2×C4×C17#12011yescharacteristic
272C2×C4×C17#12011yescharacteristic
273C2×C4×C17#12011yescharacteristic
274C2×C4×C17#12111yescharacteristic
275C2×C4×C17#12111yescharacteristic
276C2×C4×C17#12111yescharacteristic
277C2×C4×C17#12111yescharacteristic
278C2×C4×C17C22⋊Q811yescharacteristic
279C2×C4×C17C22⋊Q811yescharacteristic
280C2×C4×C17C22⋊Q811yescharacteristic
281C2×C4×C17C22⋊Q811yescharacteristic
282C2×C4×C17#12311yescharacteristic
283C2×C4×C17#12311yescharacteristic
284C2×C4×C17#12311yescharacteristic
285C2×C4×C17#12311yescharacteristic
286C2×Dic17—22no—
287C2×Dic17—22no—
288C2×Dic17—21no—
289C2×Dic17—21no—
290C2×Dic17—21no—
291C2×Dic17—21no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—44no—
295C2×Dic17—42no—
296C2×Dic17#9512yes—
297C2×Dic17#9512yes—
298C4×D17—22no—
299C4×D17—22no—
300C4×D17—22no—
301C4×D17—22no—
302C4×D17—22no—
303C4×D17—22no—
304C4×D17—22no—
305C4×D17—22no—
306C4×D17—22no—
307C4×D17—22no—
308C4×D17—22no—
309C4×D17—22no—
310C4×D17—22no—
311C4×D17—22no—
312C4×D17—22no—
313C4×D17—22no—
314C8×C17—24no—
315C8×C17—42no—
316#3622—24no—
317#3622—42no—
318C23×M16—171no—
319C2×#407—171no—
320#2280—171no—
321C2×#344—171no—
322C2×#344—171no—
323C2×#344—171no—
324C2×#344D1711yescharacteristic, complemented
325C22×C17—22no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—41no—
329C22×C17—41no—
330C22×C17—41no—
331C22×C17—41no—
332C22×C17C2×#9511yescharacteristic
333C22×C17C4×C22⋊C411yescharacteristic
334C22×C17C4×C22⋊C411yescharacteristic
335C22×C17#38511yescharacteristic
336C22×C17#38511yescharacteristic
337C22×C17#38611yescharacteristic
338C22×C17#38611yescharacteristic
339C2×D17—24no—
340C2×D17—24no—
341C2×D17—22no—
342C2×D17—22no—
343C2×D17—22no—
344C2×D17—22no—
345C2×D17—22no—
346C2×D17—44no—
347C2×D17—44no—
348C2×D17—44no—
349C2×D17—44no—
350C2×D17—42no—
351C2×D17—42no—
352C2×D17#34414yescomplemented
353C4×C17—82no—
354C4×C17#37911yescharacteristic
355C4×C17#38011yescharacteristic
356C4×C17#38011yescharacteristic
357C4×C17#38111yescharacteristic
358C4×C17#38511yescharacteristic
359C4×C17#38511yescharacteristic
360C4×C17#38611yescharacteristic
361C4×C17#38611yescharacteristic
362Dic17—22no—
363Dic17—22no—
364Dic17—82no—
365C24×C4—171no—
366C22×M16—171no—
367C22×M16—171no—
368C22×M16—174no—
369C22×M16—341no—
370C22×M16—342no—
371C22×M16—342no—
372C22×M16—342no—
373C22×M16—342no—
374C22×M16—342no—
375C22×M16C2×D1711yescharacteristic
376C22×M16C2×D1711yescharacteristic
377C23×C8—341no—
378C2×#117—171no—
379C2×#117C2×D1711yescharacteristic
380#407—341no—
381#407—341no—
382#407—342no—
383C2×C22⋊C8—174no—
384#381—172no—
385#380—342no—
386#379—172no—
387C4×C22⋊C4—342no—
388#344—22no—
389#344—342no—
390#344—342no—
391#344—342no—
392C2×C17—21no—
393C2×C17—21no—
394C2×C17—21no—
395C2×C17—21no—
396C2×C17—21no—
397C2×C17—21no—
398C2×C17C22⋊#9511yescharacteristic
399C2×C17C2×#34412yes—
400D17—24no—
401D17—42no—
402C25—171no—
403C23×C4—171no—
404C23×C4—172no—
405C23×C4—172no—
406C23×C4—171no—
407C23×C4—172no—
408C23×C4—171no—
409C23×C4—172no—
410C23×C4—171no—
411C23×C4—171no—
412C23×C4—341no—
413C23×C4—341no—
414C23×C4—341no—
415C23×C4—341no—
416C23×C4—341no—
417C23×C4—341no—
418C23×C4—341no—
419C23×C4—341no—
420C23×C4C22×D1711yescharacteristic
421C2×M16—21no—
422C2×M16—21no—
423C2×M16—21no—
424C2×M16—21no—
425C2×M16—21no—
426C2×M16—21no—
427C2×M16—21no—
428C2×M16—21no—
429C2×M16—21no—
430C2×M16—172no—
431C2×M16—172no—
432C2×M16—172no—
433C2×M16—344no—
434C2×M16—344no—
435C2×M16—344no—
436C2×M16—348no—
437C2×M16—348no—
438C2×M16—348no—
439C2×M16—341no—
440C2×M16—341no—
441C2×M16—341no—
442C2×M16—348no—
443C2×M16—341no—
444C2×M16—341no—
445C2×M16—341no—
446C2×M16—341no—
447C2×M16—341no—
448C2×M16—341no—
449C2×M16C4×D1712yes—
450C2×M16D6812yes—
451C2×M16C22⋊D1712yes—
452C22×C8—21no—
453C22×C8—172no—
454C22×C8—344no—
455C22×C8—344no—
456C22×C8—344no—
457C22×C8—341no—
458C22×C8C4×D1712yes—
459#117—21no—
460#117—21no—
461#117—21no—
462#117—21no—
463#117—341no—
464#117—341no—
465#117—341no—
466#117—341no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—341no—
469C2×C22⋊C4—172no—
470C2×C22⋊C4—344no—
471C2×C22⋊C4C4×D1712yes—
472C2×C42—21no—
473C2×C42—341no—
474C22⋊C8—344no—
475C22⋊C8—344no—
476#95—344no—
477C17#1073711yescharacteristic, complemented, Sylow
478C24—171no—
479C24—172no—
480C24—172no—
481C24—171no—
482C24—341no—
483C24—341no—
484C24—341no—
485C24—341no—
486C24—684no—
487C24C2×C4×D1711yescharacteristic
488C22×C4—22no—
489C22×C4—172no—
490C22×C4—172no—
491C22×C4—171no—
492C22×C4—171no—
493C22×C4—172no—
494C22×C4—172no—
495C22×C4—172no—
496C22×C4—172no—
497C22×C4—172no—
498C22×C4—172no—
499C22×C4—172no—
500C22×C4—172no—
501C22×C4—341no—
502C22×C4—341no—
503C22×C4—341no—
504C22×C4—341no—
505C22×C4—342no—
506C22×C4—342no—
507C22×C4—342no—
508C22×C4—342no—
509C22×C4—341no—
510C22×C4—341no—
511C22×C4—342no—
512C22×C4—341no—
513C22×C4—341no—
514C22×C4—342no—
515C22×C4—342no—
516C22×C4—342no—
517C22×C4—342no—
518C22×C4—342no—
519C22×C4—341no—
520C22×C4—341no—
521C22×C4—342no—
522C22×C4—342no—
523C22×C4—341no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—341no—
527C22×C4—341no—
528C22×C4—341no—
529C22×C4—342no—
530C22×C4—342no—
531C22×C4—341no—
532C22×C4—341no—
533C22×C4—342no—
534C22×C4—342no—
535C22×C4—341no—
536C22×C4—341no—
537C22×C4—342no—
538C22×C4C2×C4×D1711yescharacteristic
539C22×C4C2×C4×D1711yescharacteristic
540C22×C4C2×D6811yescharacteristic
541C22×C4#6325211yescharacteristic
542C22×C4#6325211yescharacteristic
543C22×C4D4×D1711yescharacteristic
544C22×C4D4×D1711yescharacteristic
545C22×C4D4×D1711yescharacteristic
546C22×C4D4×D1711yescharacteristic
547C22×C4D4×D1711yescharacteristic
548C22×C4#6325411yescharacteristic
549C22×C4Q8×D1711yescharacteristic
550C22×C4#6325611yescharacteristic
551C22×C4C2×C22⋊D1711yescharacteristic
552M16—22no—
553M16—22no—
554M16—22no—
555M16—41no—
556M16—41no—
557M16—41no—
558M16—41no—
559M16—174no—
560M16—3416no—
561M16—342no—
562M16—342no—
563M16—342no—
564M16—681no—
565M16—681no—
566M16—681no—
567M16—681no—
568M16#6322714yescomplemented
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—3416no—
576C2×C8—342no—
577C2×C8—342no—
578C2×C8—342no—
579C2×C8—342no—
580C2×C8—342no—
581C2×C8—342no—
582C4⋊C4—41no—
583C4⋊C4—41no—
584C4⋊C4—681no—
585C4⋊C4—681no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—342no—
589C22⋊C4—342no—
590C22⋊C4—688no—
591C42—41no—
592C42—41no—
593C42—681no—
594C42—681no—
595C23—42no—
596C23—172no—
597C23—172no—
598C23—344no—
599C23—344no—
600C23—344no—
601C23—341no—
602C23—341no—
603C23—342no—
604C23—342no—
605C23—341no—
606C23—341no—
607C23—342no—
608C23—342no—
609C23—682no—
610C23—682no—
611C23—682no—
612C23—684no—
613C23—684no—
614C23—684no—
615C23—684no—
616C23C42×D1711yescharacteristic
617C23C4×D6811yescharacteristic
618C23C22⋊C4×D1711yescharacteristic
619C23#1058756711yescharacteristic
620C23C4⋊C4×D1711yescharacteristic
621C23#1058757911yescharacteristic
622C23C4×C22⋊D1711yescharacteristic
623C2×C4—44no—
624C2×C4—42no—
625C2×C4—172no—
626C2×C4—172no—
627C2×C4—342no—
628C2×C4—342no—
629C2×C4—341no—
630C2×C4—341no—
631C2×C4—341no—
632C2×C4—341no—
633C2×C4—342no—
634C2×C4—342no—
635C2×C4—342no—
636C2×C4—342no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—342no—
650C2×C4—342no—
651C2×C4—684no—
652C2×C4—682no—
653C2×C4#1058755811yescharacteristic
654C2×C4C4×D6811yescharacteristic
655C2×C4C22⋊C4×D1711yescharacteristic
656C2×C4C22⋊C4×D1711yescharacteristic
657C2×C4C22⋊C4×D1711yescharacteristic
658C2×C4#1058756711yescharacteristic
659C2×C4#1058756811yescharacteristic
660C2×C4#1058756811yescharacteristic
661C2×C4#1058756911yescharacteristic
662C2×C4#1058756911yescharacteristic
663C2×C4#1058757011yescharacteristic
664C2×C4#1058757011yescharacteristic
665C2×C4C4⋊C4×D1711yescharacteristic
666C2×C4C4⋊C4×D1711yescharacteristic
667C2×C4#1058757811yescharacteristic
668C2×C4#1058757911yescharacteristic
669C2×C4#1058758011yescharacteristic
670C2×C4#1058758011yescharacteristic
671C2×C4#1058758111yescharacteristic
672C2×C4#1058758211yescharacteristic
673C2×C4#1058758211yescharacteristic
674C2×C4#1058758311yescharacteristic
675C2×C4C2×#6322711yescharacteristic
676C2×C4C4×C22⋊D1711yescharacteristic
677C2×C4#1058762311yescharacteristic
678C2×C4#1058762311yescharacteristic
679C2×C4#1058762411yescharacteristic
680C2×C4#1058763211yescharacteristic
681C8—24no—
682C8—42no—
683C8—344no—
684C8—682no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—174no—
693C22—344no—
694C22—344no—
695C22—342no—
696C22—342no—
697C22—342no—
698C22—342no—
699C22—342no—
700C22—684no—
701C22—684no—
702C22—684no—
703C22—684no—
704C22—682no—
705C22—682no—
706C22#95×D1711yescharacteristic
707C22#1176265611yescharacteristic
708C22C4×#6322711yescharacteristic
709C22#1176268011yescharacteristic
710C22#1176268311yescharacteristic
711C22#1176268511yescharacteristic
712C22#1176268711yescharacteristic
713C4—82no—
714C4—342no—
715C4—342no—
716C4—1362no—
717C4#1176266411yescharacteristic
718C4#1176266611yescharacteristic
719C4#1176266811yescharacteristic
720C4#1176267111yescharacteristic
721C4#1176268011yescharacteristic
722C4#1176268311yescharacteristic
723C4#1176268511yescharacteristic
724C4#1176268711yescharacteristic
725C2—21no—
726C2—21no—
727C2—21no—
728C2—21no—
729C2—21no—
730C2—21no—
731C2—344no—
732C2—682no—
733C2#1452700511yescharacteristic
734C2D17×#34412yes—
subgroupG/H
centerC2×C4C22⋊C4×D17
commutatorC23×C17C2×C42
FrattiniC23×C4C22×D17
FittingC2×C17×#344C2
socleC22×C17C2×#95
prime radicalC24×D17C2×C4
cosocleC23×C4×C17C23
hypercenterC2×#344D17
hypocenterC17#10737
LCSG ▷ C23×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#344

Complements

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

NH ≅ G/Ntype
4. C2×#11762581C2semidirect
5. C2×#11762580C2semidirect
6. C2×#11762579C2semidirect
7. C2×C17×#344C2semidirect
17. C2×M16×D17C4semidirect
23. C2×#10587491C4semidirect
191. M16×C17C22⋊C4semidirect
218. #63223C22⋊C4semidirect
324. C2×#344D17semidirect
352. C2×D17#344semidirect
477. C17#10737semidirect
568. M16#63227semidirect

Maximal subgroups

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

subgroupindex
C22×M16×D172
C2×#117627722
#145311632
C2×#117625812
C2×#117625802
C2×#117625792
C2×C17×#3442
#1073717