Finite Group Databasebeta

← #16955622

Subgroups — #16955622

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×#10587567C211yesmaximal, characteristic
2C2×#11762685C212yesmaximal
3C2×C4×#63227C211yesmaximal, characteristic, complemented
4C2×#95×D17C211yesmaximal, characteristic, complemented
5#14527021C211yesmaximal, characteristic, complemented
6#14527019C211yesmaximal, characteristic, complemented
7#14527017C211yesmaximal, characteristic, complemented
8#14527010C212yesmaximal, complemented
9#14527006C212yesmaximal, complemented
10#14527005C212yesmaximal, complemented
11C17×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D17C2211yescharacteristic
13C24×Dic17C2211yescharacteristic
14C23×C4×D17C2212yes—
15C23×C4×D17C2211yescharacteristic
16C2×#10587567—24no—
17C2×#10587567—24no—
18C2×#10587567C418yescomplemented
19C22×#63225C2211yescharacteristic
20C22×C22⋊Dic17C2212yes—
21C22×#63227C2211yescharacteristic
22C22×#63227C2212yes—
23C22×C4×Dic17C2211yescharacteristic
24C22×C4×Dic17C2211yescharacteristic
25#11762685C4116yescomplemented
26C4×#63227—24no—
27C2×#10587502C2212yes—
28C2×#10587502C2212yes—
29C2×#10587502C2211yescharacteristic
30C2×#10587502C2212yes—
31C2×#10587502C2212yes—
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C2×#10587502C2212yes—
35#95×D17—24no—
36C22×C22⋊C4×C17C2211yescharacteristic
37C22×C22⋊C4×C17C2212yes—
38C22×C42×C17C2211yescharacteristic
39C2×C17×#95C2211yescharacteristic
40C2×C17×#95C2212yes—
41C25×C17C2311yescharacteristic
42C24×D17C2311yescharacteristic
43C23×C4×C17C2312yes—
44C23×C4×C17C2311yescharacteristic
45C23×C4×C17C2312yes—
46C23×C4×C17C2311yescharacteristic
47C22×C22⋊D17—22no—
48C22×C22⋊D17—22no—
49C22×C22⋊D17—24no—
50C22×C22⋊D17C2×C414yes—
51C22×C22⋊D17C2×C418yes—
52C23×Dic17—22no—
53C23×Dic17—22no—
54C23×Dic17—42no—
55C23×Dic17—42no—
56C23×Dic17C2×C414yescomplemented
57C23×Dic17C2312yes—
58C23×Dic17C2311yescharacteristic
59C23×Dic17C2312yes—
60C23×Dic17C2311yescharacteristic
61C23×Dic17C2311yescharacteristic
62C22×C4×D17—24no—
63C22×C4×D17—24no—
64C22×C4×D17—42no—
65C22×C4×D17—42no—
66C22×C4×D17—42no—
67C22×C4×D17—42no—
68C22×C4×D17—42no—
69C22×C4×D17—42no—
70C22×C4×D17C2×C414yes—
71C22×C4×D17C2×C418yescomplemented
72C22×C4×D17D414yes—
73C22×C4×D17D414yes—
74C2×C22⋊C4×C17—22no—
75C2×C22⋊C4×C17—22no—
76C2×C22⋊C4×C17—42no—
77C2×C22⋊C4×C17—42no—
78C2×C22⋊C4×C17C2×C414yescomplemented
79C2×C22⋊C4×C17C2×C418yescomplemented
80C2×C42×C17—22no—
81C2×C42×C17—42no—
82C2×C22⋊Dic17—42no—
83C2×C22⋊Dic17—42no—
84C2×C22⋊Dic17C2×C418yescomplemented
85C2×#63227—22no—
86C2×#63227—22no—
87C2×#63227—24no—
88C2×#63227—24no—
89C2×#63227C2×C414yes—
90C2×#63227C2×C418yescomplemented
91C2×#63225—22no—
92C2×#63225—22no—
93C2×#63225C2×C414yescomplemented
94C2×C4×Dic17—22no—
95C2×C4×Dic17—22no—
96C2×C4×Dic17—22no—
97C2×C4×Dic17—42no—
98C2×C4×Dic17C2×C414yescomplemented
99#10587567—232no—
100C17×#95—22no—
101C17×#95—42no—
102#10587502—22no—
103#10587502—24no—
104#10587502—24no—
105#10587502—42no—
106#10587502—42no—
107#10587502—42no—
108#10587502C2×C418yescomplemented
109#10587502C2×C418yescomplemented
110C24×C17—21no—
111C24×C17—21no—
112C24×C17—22no—
113C24×C17—22no—
114C24×C17—22no—
115C24×C17—22no—
116C24×C17—22no—
117C24×C17C22×C412yes—
118C24×C17C22×C414yes—
119C24×C17C2411yescharacteristic
120C23×D17—22no—
121C23×D17—22no—
122C23×D17—22no—
123C23×D17—22no—
124C23×D17C22×C412yes—
125C23×D17C22×C414yes—
126C23×D17C2×D412yes—
127C23×D17C2×D412yes—
128C23×D17#4114yes—
129C22×C4×C17—22no—
130C22×C4×C17—22no—
131C22×C4×C17—22no—
132C22×C4×C17—22no—
133C22×C4×C17—21no—
134C22×C4×C17—21no—
135C22×C4×C17—22no—
136C22×C4×C17—22no—
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×C17C22×C414yes—
148C22×C4×C17C22×C414yes—
149C22×C4×C17C22×C412yes—
150C22×C4×C17C22×C412yes—
151C22×C4×C17C2×D412yes—
152C22×C4×C17C2×D412yes—
153C2×C22⋊D17—28no—
154C2×C22⋊D17—28no—
155C2×C22⋊D17—216no—
156C2×C22⋊D17—216no—
157C2×C22⋊D17C42116yescomplemented
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17—22no—
161C22×Dic17—22no—
162C22×Dic17—22no—
163C22×Dic17—22no—
164C22×Dic17—21no—
165C22×Dic17—21no—
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—28no—
180C22×Dic17—48no—
181C22×Dic17—48no—
182C22×Dic17—44no—
183C22×Dic17—44no—
184C22×Dic17C22×C414yes—
185C22×Dic17C22×C412yes—
186C22×Dic17C22×C414yes—
187C22×Dic17C22×C414yes—
188C22×Dic17C22×C412yes—
189C22×Dic17C22×C412yes—
190C22×Dic17C2×D412yes—
191C22×Dic17C2×D412yes—
192C2×C4×D17—216no—
193C2×C4×D17—48no—
194C2×C4×D17—48no—
195C2×C4×D17—48no—
196C2×C4×D17—44no—
197C2×C4×D17—48no—
198C2×C4×D17—44no—
199C2×C4×D17—48no—
200C2×C4×D17—48no—
201C2×C4×D17—48no—
202C2×C4×D17—48no—
203C2×C4×D17C22⋊C4116yescomplemented
204C22⋊C4×C17—28no—
205C22⋊C4×C17—48no—
206C42×C17—44no—
207C22⋊Dic17—48no—
208#63227—28no—
209#63227—216no—
210#63225—28no—
211C4×Dic17—28no—
212C4×Dic17—44no—
213#13784—171nomaximal, Sylow
214C23×C17—22no—
215C23×C17—22no—
216C23×C17—24no—
217C23×C17—24no—
218C23×C17—24no—
219C23×C17—24no—
220C23×C17—24no—
221C23×C17—24no—
222C23×C17—24no—
223C23×C17—24no—
224C23×C17—42no—
225C23×C17—41no—
226C23×C17—41no—
227C23×C17—41no—
228C23×C17—41no—
229C23×C17—42no—
230C23×C17—42no—
231C23×C17—42no—
232C23×C17—42no—
233C23×C17—42no—
234C23×C17C2×C4214yes—
235C23×C17C23×C411yescharacteristic
236C23×C17C23×C412yes—
237C23×C17C22×D411yescharacteristic
238C23×C17C22×D411yescharacteristic
239C23×C17C2×#4112yes—
240C23×C17H(5,𝔽2)12yes—
241C23×C17H(5,𝔽2)12yes—
242C23×C17H(5,𝔽2)12yes—
243C23×C172−1+412yes—
244C22×D17—24no—
245C22×D17—24no—
246C22×D17—24no—
247C22×D17—24no—
248C22×D17—24no—
249C22×D17—24no—
250C22×D17—24no—
251C22×D17—22no—
252C22×D17—22no—
253C22×D17—22no—
254C22×D17—22no—
255C22×D17—24no—
256C22×D17—24no—
257C22×D17—24no—
258C22×D17—24no—
259C22×D17—24no—
260C22×D17C2×C4214yes—
261C22×D17C2×C22⋊C414yes—
262C22×D17#11714yes—
263C22×D17C4×D418yes—
264C22×D17C4×D418yes—
265C2×C4×C17—24no—
266C2×C4×C17—22no—
267C2×C4×C17—24no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
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—24no—
277C2×C4×C17—42no—
278C2×C4×C17—42no—
279C2×C4×C17—42no—
280C2×C4×C17—41no—
281C2×C4×C17—41no—
282C2×C4×C17—42no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17—42no—
286C2×C4×C17—42no—
287C2×C4×C17—42no—
288C2×C4×C17C2×C22⋊C414yes—
289C22⋊D17—232no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—24no—
293C2×Dic17—24no—
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—416no—
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×Dic17—42no—
318C2×Dic17C2×C4214yes—
319C2×Dic17C2×C22⋊C414yes—
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#1437D1711yescharacteristic, complemented
328#1436—171no—
329#1436—171no—
330#1434—172no—
331C22⋊#95—172no—
332C22⋊#95—172no—
333C22×C17—24no—
334C22×C17—28no—
335C22×C17—42no—
336C22×C17—42no—
337C22×C17—44no—
338C22×C17—44no—
339C22×C17—44no—
340C22×C17—44no—
341C22×C17—44no—
342C22×C17C22×C4211yescharacteristic
343C22×C17C22×C22⋊C411yescharacteristic
344C22×C17C2×#11711yescharacteristic
345C22×C17C2×C4×D412yes—
346C22×C17C2×C4×D412yes—
347C22×C17#51812yes—
348C22×C17#51812yes—
349C22×C17#51812yes—
350C22×C17#52012yes—
351C22×C17#52012yes—
352C22×C17#52012yes—
353C22×C17#53412yes—
354C22×C17#53411yescharacteristic
355C22×C17#53411yescharacteristic
356C22×C17#53511yescharacteristic
357C22×C17#53611yescharacteristic
358C22×C17#53712yes—
359C22×C17#53812yes—
360C22×C17#53812yes—
361C22×C17#53912yes—
362C22×C17#53912yes—
363C2×D17—24no—
364C2×D17—24no—
365C2×D17—28no—
366C2×D17—28no—
367C2×D17—28no—
368C2×D17—28no—
369C2×D17—28no—
370C2×D17—28no—
371C2×D17C4×C22⋊C418yes—
372C4×C17—24no—
373C4×C17—42no—
374C4×C17—44no—
375C4×C17—44no—
376Dic17—24no—
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⋊C4—171no—
389C22×C22⋊C4—171no—
390C22×C22⋊C4—172no—
391C22×C22⋊C4—172no—
392C22×C22⋊C4C2×D1711yescharacteristic
393C22×C22⋊C4C2×D1712yes—
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—172no—
403C2×#95—171no—
404C2×#95—172no—
405C2×#95—172no—
406C2×#95—172no—
407C2×#95—344no—
408C2×#95C2×D1711yescharacteristic
409C2×#95C2×D1712yes—
410C2×C17—44no—
411C2×C17C2×C4×C22⋊C411yescharacteristic
412C2×C17#227512yes—
413C2×C17#230811yescharacteristic
414C2×C17#231111yescharacteristic
415C2×C17#231812yes—
416C2×C17#232112yes—
417C2×C17#232212yes—
418C2×C17#232512yes—
419C2×C17#232512yes—
420D17—28no—
421C25—171no—
422C25C22×D1711yescharacteristic
423C22×D4—174no—
424C22×D4—178no—
425C22×D4—342no—
426C22×D4—342no—
427C22×D4—344no—
428C23×C4—171no—
429C23×C4—171no—
430C23×C4—174no—
431C23×C4—174no—
432C23×C4—174no—
433C23×C4—172no—
434C23×C4—171no—
435C23×C4—172no—
436C23×C4—174no—
437C23×C4—178no—
438C23×C4—344no—
439C23×C4—344no—
440C23×C4—342no—
441C23×C4—342no—
442C23×C4—682no—
443C23×C4—682no—
444C23×C4—682no—
445C23×C4—682no—
446C23×C4—682no—
447C23×C4—682no—
448C23×C4—682no—
449C23×C4—682no—
450C23×C4C22×D1712yes—
451C23×C4C22×D1711yescharacteristic
452C23×C4C22×D1712yes—
453C23×C4C22×D1711yescharacteristic
454C4×D4—3432no—
455C2×C4⋊C4—174no—
456C2×C4⋊C4—342no—
457C2×C4⋊C4—342no—
458C2×C22⋊C4—22no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—42no—
461C2×C22⋊C4—42no—
462C2×C22⋊C4—174no—
463C2×C22⋊C4—178no—
464C2×C22⋊C4—178no—
465C2×C22⋊C4—342no—
466C2×C22⋊C4—342no—
467C2×C22⋊C4—344no—
468C2×C22⋊C4—344no—
469C2×C22⋊C4—682no—
470C2×C22⋊C4—682no—
471C2×C22⋊C4C4×D1714yescomplemented
472C2×C22⋊C4C4×D1718yescomplemented
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—178no—
484#95—344no—
485#95—344no—
486#95—342no—
487#95—682no—
488#95—682no—
489#95—682no—
490C17#1378411yescharacteristic, complemented, Sylow
491C24—21no—
492C24—21no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—22no—
497C24—22no—
498C24—172no—
499C24—174no—
500C24—172no—
501C24—172no—
502C24—174no—
503C24—342no—
504C24—342no—
505C24—342no—
506C24—342no—
507C24C2×C4×D1714yes—
508C24C2×C4×D1712yes—
509C24C23×D1711yescharacteristic
510C2×D4—1716no—
511C2×D4—348no—
512C2×D4—348no—
513C2×D4—3416no—
514C2×D4—3416no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—22no—
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—22no—
533C22×C4—174no—
534C22×C4—172no—
535C22×C4—172no—
536C22×C4—172no—
537C22×C4—172no—
538C22×C4—1716no—
539C22×C4—174no—
540C22×C4—174no—
541C22×C4—172no—
542C22×C4—3416no—
543C22×C4—348no—
544C22×C4—341no—
545C22×C4—341no—
546C22×C4—342no—
547C22×C4—342no—
548C22×C4—342no—
549C22×C4—342no—
550C22×C4—342no—
551C22×C4—341no—
552C22×C4—341no—
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—342no—
564C22×C4—342no—
565C22×C4—688no—
566C22×C4—688no—
567C22×C4—684no—
568C22×C4—684no—
569C22×C4—688no—
570C22×C4—688no—
571C22×C4—688no—
572C22×C4—688no—
573C22×C4—688no—
574C22×C4—688no—
575C22×C4—688no—
576C22×C4—688no—
577C22×C4—684no—
578C22×C4—684no—
579C22×C4C2×C4×D1714yes—
580C22×C4C2×C4×D1714yes—
581C22×C4C2×C4×D1712yes—
582C22×C4C2×C4×D1712yes—
583C22×C4D4×D1712yes—
584C22×C4D4×D1712yes—
585C4⋊C4—348no—
586C22⋊C4—28no—
587C22⋊C4—48no—
588C22⋊C4—348no—
589C22⋊C4—3416no—
590C22⋊C4—688no—
591C42—44no—
592C42—348no—
593C42—684no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—174no—
615C23—174no—
616C23—174no—
617C23—178no—
618C23—178no—
619C23—344no—
620C23—344no—
621C23—344no—
622C23—344no—
623C23—344no—
624C23—344no—
625C23—344no—
626C23—342no—
627C23—342no—
628C23—342no—
629C23—342no—
630C23—344no—
631C23—344no—
632C23—344no—
633C23—344no—
634C23—344no—
635C23C42×D1714yes—
636C23C22×C4×D1711yescharacteristic
637C23C22×C4×D1712yes—
638C23C2×D4×D1711yescharacteristic
639C23C2×D4×D1711yescharacteristic
640C23#1058769112yes—
641C23#1058769112yes—
642C23#41×D1712yes—
643C23#1058769612yes—
644C23#1058769712yes—
645D4—3432no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—174no—
670C2×C4—174no—
671C2×C4—342no—
672C2×C4—342no—
673C2×C4—344no—
674C2×C4—344no—
675C2×C4—344no—
676C2×C4—344no—
677C2×C4—342no—
678C2×C4—342no—
679C2×C4—342no—
680C2×C4—344no—
681C2×C4—344no—
682C2×C4—344no—
683C2×C4—344no—
684C2×C4—344no—
685C2×C4—344no—
686C2×C4—344no—
687C2×C4—6816no—
688C2×C4—6832no—
689C2×C4—6816no—
690C2×C4—682no—
691C2×C4—682no—
692C2×C4—681no—
693C2×C4—682no—
694C2×C4—681no—
695C2×C4—682no—
696C2×C4—682no—
697C2×C4—682no—
698C2×C4—682no—
699C2×C4—682no—
700C2×C4—682no—
701C2×C4C22⋊C4×D1714yes—
702C22—24no—
703C22—28no—
704C22—42no—
705C22—42no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—178no—
712C22—344no—
713C22—344no—
714C22—348no—
715C22—348no—
716C22—348no—
717C22—348no—
718C22—348no—
719C22—348no—
720C22C2×C42×D1711yescharacteristic
721C22C2×C22⋊C4×D1711yescharacteristic
722C22#117×D1711yescharacteristic
723C22C4×D4×D1712yes—
724C22C4×D4×D1712yes—
725C22#1176328112yes—
726C22#1176328112yes—
727C22#1176328212yes—
728C22#1176328812yes—
729C22#1176328812yes—
730C22#1176328912yes—
731C22#1176336712yes—
732C22#1176336911yescharacteristic
733C22#1176337011yescharacteristic
734C22#1176337211yescharacteristic
735C22#1176337911yescharacteristic
736C22#1176338812yes—
737C22#1176339112yes—
738C22#1176339312yes—
739C22#1176340012yes—
740C22#1176340212yes—
741C4—24no—
742C4—42no—
743C4—44no—
744C4—44no—
745C4—344no—
746C4—344no—
747C4—682no—
748C4—684no—
749C4—684no—
750C2—44no—
751C2—348no—
752C2C4×C22⋊C4×D1711yescharacteristic
753C2#1453114312yes—
754C2#1453135811yescharacteristic
755C2#1453137411yescharacteristic
756C2#1453141412yes—
757C2#1453144312yes—
758C2#1453145412yes—
759C2#1453148612yes—
760C2#1453148812yes—
subgroupG/H
center, FrattiniC24C23×D17
commutatorC22×C17C22×C42
FittingC17×#1437C2
socle, cosocleC24×C17C24
prime radicalC23×C22⋊D17C22
hypercenter#1437D17
hypocenterC17#13784
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
3. C2×C4×#63227C2semidirect
4. C2×#95×D17C2semidirect
5. #14527021C2semidirect
6. #14527019C2semidirect
7. #14527017C2semidirect
8. #14527010C2semidirect
9. #14527006C2semidirect
10. #14527005C2semidirect
11. C17×#1437C2semidirect
18. C2×#10587567C4semidirect
25. #11762685C4semidirect
56. C23×Dic17C2×C4semidirect
71. C22×C4×D17C2×C4semidirect
78. C2×C22⋊C4×C17C2×C4semidirect
79. C2×C22⋊C4×C17C2×C4semidirect
84. C2×C22⋊Dic17C2×C4semidirect
90. C2×#63227C2×C4semidirect
93. C2×#63225C2×C4semidirect
98. C2×C4×Dic17C2×C4semidirect
108. #10587502C2×C4semidirect
109. #10587502C2×C4semidirect
157. C2×C22⋊D17C42semidirect
203. C2×C4×D17C22⋊C4semidirect
327. #1437D17semidirect
471. C2×C22⋊C4C4×D17semidirect
472. C2×C22⋊C4C4×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×#105875672
C2×#117626852
C2×C4×#632272
C2×#95×D172
#145270212
#145270192
#145270172
#145270102
#145270062
#145270052
C17×#14372
#1378417