Finite Group Databasebeta

← #17031978

Subgroups — #17031978

Order 4352.

1834 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763281C211yesmaximal, characteristic
2C2×#99×D17C212yesmaximal
3#14531136C212yesmaximal, complemented
4#99×Dic17C212yesmaximal, complemented
5C4×#10587477C212yesmaximal, complemented
6C4×#10587505C211yesmaximal, characteristic, complemented
7#14528571C212yesmaximal, complemented
8D17×#342C212yesmaximal, complemented
9C4×C17×#99C211yesmaximal, characteristic, complemented
10C22×D4×D17C2211yescharacteristic
11#11763281—24no—
12#11763281—24no—
13C2×C4×D68C411yescharacteristic, complemented
14C2×D4×Dic17C2211yescharacteristic
15C2×#10587579C411yescharacteristic, complemented
16C2×C4×C22⋊D17C411yescharacteristic, complemented
17C2×C4×C22⋊D17C2211yescharacteristic
18C2×#10587567C411yescharacteristic, complemented
19C2×#10587567C2211yescharacteristic
20C2×#10587578C411yescharacteristic, complemented
21C2×#10587558C411yescharacteristic, complemented
22C22×#63227C411yescharacteristic, complemented
23C22×#63227C2211yescharacteristic
24C2×C22⋊C4×D17C411yescharacteristic, complemented
25C2×C22⋊C4×D17C2214yes—
26C2×C22⋊C4×D17C2211yescharacteristic
27C2×#10587505C2212yes—
28C2×#10587477C2214yes—
29#99×D17C4116yescomplemented
30C22⋊C4×Dic17C2214yescomplemented
31C4×#63227—24no—
32C4×C22⋊Dic17C2212yescomplemented
33#11762656—24no—
34#11762576C2212yescomplemented
35#11762575C2214yescomplemented
36C2×C4×D4×C17C2211yescharacteristic
37C2×C17×#99C2212yes—
38C4×C22⋊C4×C17C2212yescomplemented
39C17×#342C2212yescomplemented
40C24×D17C2×C411yescharacteristic
41C24×D17C2311yescharacteristic
42C22×D4×C17C2311yescharacteristic
43C23×C4×C17C2×C411yescharacteristic, complemented
44C23×C4×C17C2311yescharacteristic
45C22×C22⋊D17C2×C411yescharacteristic
46C22×C22⋊D17C2311yescharacteristic
47C23×Dic17C2×C411yescharacteristic, complemented
48C23×Dic17C2311yescharacteristic
49C2×D4×D17—24no—
50C2×D4×D17—24no—
51C2×D4×D17C2×C418yes—
52C22×D68C2×C411yescharacteristic
53C22×C4×D17—24no—
54C22×C4×D17C2×C411yescharacteristic
55C22×C4×D17C2×C411yescharacteristic
56C22×C4×D17C2×C411yescharacteristic
57C22×C4×D17C2×C411yescharacteristic, complemented
58C22×C4×D17C2×C411yescharacteristic, complemented
59C4×D4×C17—22no—
60C4×D4×C17—22no—
61C2×C4⋊C4×C17C2×C411yescharacteristic, complemented
62C2×C22⋊C4×C17C2×C411yescharacteristic, complemented
63C2×C22⋊C4×C17C2311yescharacteristic
64C2×C22⋊C4×C17C2314yes—
65C2×C42×C17—22no—
66C2×C42×C17C2×C411yescharacteristic, complemented
67C2×C22⋊Dic17C2×C411yescharacteristic, complemented
68C2×C22⋊Dic17C2311yescharacteristic
69C2×C22⋊Dic17C2314yes—
70D4×Dic17—24no—
71C4×C22⋊D17—22no—
72C4×C22⋊D17—22no—
73C4×C22⋊D17—22no—
74C4×C22⋊D17—22no—
75C2×#63227—22no—
76C2×#63227—22no—
77C2×#63227—24no—
78C2×#63227C2×C411yescharacteristic
79C2×#63227C2×C411yescharacteristic
80C2×#63227C2×C411yescharacteristic
81C2×#63227C2×C411yescharacteristic
82C2×#63227C2×C411yescharacteristic
83C2×#63227C2×C411yescharacteristic
84C2×#63227C2×C411yescharacteristic, complemented
85C2×#63227C2×C411yescharacteristic, complemented
86C2×#63227D414yes—
87C2×#63227D414yes—
88C2×C4⋊Dic17C2×C411yescharacteristic, complemented
89C2×#63225C2×C411yescharacteristic, complemented
90C2×#63225C2×C411yescharacteristic, complemented
91C2×C4×Dic17—22no—
92C2×C4×Dic17—24no—
93C2×C4×Dic17C2×C411yescharacteristic, complemented
94C2×C4×Dic17C2×C411yescharacteristic, complemented
95C2×C4×Dic17C2×C411yescharacteristic, complemented
96#10587579—24no—
97#10587578—24no—
98#10587567—24no—
99#10587567—24no—
100C22⋊C4×D17—24no—
101C22⋊C4×D17—24no—
102C22⋊C4×D17—28no—
103C22⋊C4×D17C2×C4116yescomplemented
104C4×D68—22no—
105C4×D68—22no—
106#10587558—22no—
107#10587558—22no—
108C17×#99C2×C418yescomplemented
109C17×#95—22no—
110#10587505C2×C418yescomplemented
111#10587502—22no—
112#10587502—24no—
113#10587477C2×C4116yescomplemented
114C24×C17C22×C411yescharacteristic
115C24×C17C2411yescharacteristic
116C23×D17—22no—
117C23×D17—22no—
118C23×D17—81no—
119C23×D17—81no—
120C23×D17—81no—
121C23×D17—81no—
122C23×D17C4214yescomplemented
123C23×D17C22×C411yescharacteristic
124C23×D17C22×C411yescharacteristic
125C23×D17C22×C411yescharacteristic
126C23×D17C22×C414yes—
127C23×D17C2×D414yes—
128C23×D17#4114yes—
129C2×D4×C17—22no—
130C2×D4×C17—22no—
131C2×D4×C17C22×C414yes—
132C22×C4×C17—24no—
133C22×C4×C17—21no—
134C22×C4×C17—21no—
135C22×C4×C17—81no—
136C22×C4×C17—81no—
137C22×C4×C17C22×C411yescharacteristic
138C22×C4×C17C22×C411yescharacteristic
139C22×C4×C17C22×C411yescharacteristic
140C22×C4×C17C22×C411yescharacteristic
141C22×C4×C17C22×C411yescharacteristic
142C22×C4×C17C2×D412yes—
143C22×C4×C17C2×D412yes—
144C2×C22⋊D17—22no—
145C2×C22⋊D17—22no—
146C2×C22⋊D17—22no—
147C2×C22⋊D17—22no—
148C2×C22⋊D17C4214yescomplemented
149C2×C22⋊D17C22×C414yes—
150C22×Dic17—24no—
151C22×Dic17—22no—
152C22×Dic17—81no—
153C22×Dic17—81no—
154C22×Dic17C22×C411yescharacteristic
155C22×Dic17C22×C411yescharacteristic
156C22×Dic17C22×C411yescharacteristic
157C22×Dic17C22×C411yescharacteristic
158C22×Dic17C22×C411yescharacteristic
159C22×Dic17C2×D414yes—
160D4×D17—216no—
161D4×D17—216no—
162C2×D68—22no—
163C2×D68—22no—
164C2×D68C4214yescomplemented
165C2×C4×D17—22no—
166C2×C4×D17—22no—
167C2×C4×D17—22no—
168C2×C4×D17—22no—
169C2×C4×D17—216no—
170C2×C4×D17—22no—
171C2×C4×D17—22no—
172C2×C4×D17—84no—
173C2×C4×D17—84no—
174C2×C4×D17—81no—
175C2×C4×D17—81no—
176C2×C4×D17—81no—
177C2×C4×D17—81no—
178C2×C4×D17C4214yescomplemented
179C4⋊C4×C17—22no—
180C22⋊C4×C17—22no—
181C22⋊C4×C17—24no—
182C22⋊C4×C17—22no—
183C22⋊C4×C17C22×C418yes—
184C42×C17—21no—
185C42×C17—21no—
186C42×C17—82no—
187C22⋊Dic17—22no—
188C22⋊Dic17—24no—
189C22⋊Dic17—22no—
190C22⋊Dic17C22×C418yes—
191#63227—22no—
192#63227—22no—
193#63227—216no—
194#63227—21no—
195#63227—21no—
196#63227—22no—
197#63227C22⋊C412yes—
198#63227C22⋊C412yes—
199#63227C22⋊C412yes—
200#63227C22⋊C412yes—
201#63227C22⋊C414yes—
202#63227C22⋊C414yes—
203C4⋊Dic17—22no—
204#63225—21no—
205#63225—21no—
206#63225—22no—
207C4×Dic17—22no—
208C4×Dic17—22no—
209C4×Dic17—22no—
210C4×Dic17—84no—
211C4×Dic17—82no—
212#20392—171nomaximal, Sylow
213C23×C17—21no—
214C23×C17—21no—
215C23×C17—41no—
216C23×C17—41no—
217C23×C17—41no—
218C23×C17—41no—
219C23×C17C2×C4212yes—
220C23×C17C23×C411yescharacteristic
221C23×C17C23×C412yes—
222C23×C17C22×D412yes—
223C23×C17C2×#4112yes—
224C22×D17—21no—
225C22×D17—21no—
226C22×D17—28no—
227C22×D17—41no—
228C22×D17—41no—
229C22×D17—44no—
230C22×D17—44no—
231C22×D17—41no—
232C22×D17—41no—
233C22×D17—41no—
234C22×D17—41no—
235C22×D17—82no—
236C22×D17—82no—
237C22×D17—84no—
238C22×D17—84no—
239C22×D17—84no—
240C22×D17—84no—
241C22×D17C2×C4212yes—
242C22×D17C2×C4212yes—
243C22×D17C2×C4212yes—
244C22×D17C2×C22⋊C412yes—
245C22×D17C2×C22⋊C412yes—
246C22×D17#11712yes—
247C22×D17#11712yes—
248C22×D17C4×D418yes—
249C22×D17C4×D418yes—
250D4×C17—28no—
251C2×C4×C17—21no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—28no—
256C2×C4×C17—42no—
257C2×C4×C17—41no—
258C2×C4×C17—41no—
259C2×C4×C17—42no—
260C2×C4×C17—44no—
261C2×C4×C17—44no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17—81no—
265C2×C4×C17—81no—
266C2×C4×C17C2×C4212yes—
267C2×C4×C17C2×C22⋊C411yescharacteristic
268C2×C4×C17C2×C22⋊C411yescharacteristic
269C2×C4×C17C2×C22⋊C412yes—
270C22⋊D17—28no—
271C22⋊D17—28no—
272C2×Dic17—21no—
273C2×Dic17—21no—
274C2×Dic17—21no—
275C2×Dic17—21no—
276C2×Dic17—28no—
277C2×Dic17—41no—
278C2×Dic17—41no—
279C2×Dic17—44no—
280C2×Dic17—44no—
281C2×Dic17—44no—
282C2×Dic17—41no—
283C2×Dic17—41no—
284C2×Dic17—82no—
285C2×Dic17C2×C4212yes—
286C2×Dic17C2×C22⋊C412yes—
287C2×Dic17C2×C22⋊C412yes—
288D68—28no—
289C4×D17—28no—
290C4×D17—82no—
291C4×D17—82no—
292C4×D17—82no—
293C4×D17—82no—
294C4×D17—816no—
295C2×#518—171no—
296C22×#99—172no—
297#2273—172no—
298C4×#99—172no—
299C4×#99—172no—
300C4×#99—172no—
301C4×#99—171no—
302C4×#99D1711yescharacteristic, complemented
303C2×#342—172no—
304C22×C17—22no—
305C22×C17—21no—
306C22×C17—22no—
307C22×C17—21no—
308C22×C17—22no—
309C22×C17—42no—
310C22×C17—42no—
311C22×C17—42no—
312C22×C17—42no—
313C22×C17—41no—
314C22×C17—41no—
315C22×C17C22×C4211yescharacteristic
316C22×C17C22×C22⋊C411yescharacteristic
317C22×C17C2×#11711yescharacteristic
318C22×C17C2×C4×D414yes—
319C2×D17—22no—
320C2×D17—22no—
321C2×D17—22no—
322C2×D17—22no—
323C2×D17—22no—
324C2×D17—48no—
325C2×D17—42no—
326C2×D17—42no—
327C2×D17—42no—
328C2×D17—42no—
329C2×D17—48no—
330C2×D17—42no—
331C2×D17—41no—
332C2×D17—41no—
333C2×D17—42no—
334C2×D17—88no—
335C2×D17C4×C22⋊C414yes—
336C2×D17C4×C22⋊C414yes—
337C4×C17—22no—
338C4×C17—21no—
339C4×C17—21no—
340C4×C17—22no—
341C4×C17—48no—
342C4×C17—41no—
343C4×C17—41no—
344Dic17—22no—
345Dic17—22no—
346Dic17—22no—
347Dic17—48no—
348Dic17—41no—
349Dic17—41no—
350C23×D4—171no—
351#518—344no—
352#518—344no—
353C2×C4×D4—171no—
354C2×C4×D4—171no—
355C2×C4×D4—171no—
356C2×C4×D4—171no—
357C2×C4×D4—171no—
358C2×C4×D4—171no—
359C2×C4×D4—171no—
360C2×C4×D4C2×D1711yescharacteristic
361C2×#117—171no—
362C2×#117—171no—
363C22×C22⋊C4—171no—
364C22×C22⋊C4—174no—
365C22×C22⋊C4—171no—
366C22×C22⋊C4—171no—
367C22×C22⋊C4—171no—
368C2×#99—172no—
369C2×#99—174no—
370C2×#99—1716no—
371C2×#99C2×D1712yes—
372C4×C22⋊C4—172no—
373C4×C22⋊C4—174no—
374C4×C22⋊C4—344no—
375C4×C22⋊C4—344no—
376C4×C22⋊C4C2×D1712yescomplemented
377#342—174no—
378#342—172no—
379#342C2×D1712yescomplemented
380C2×C17—24no—
381C2×C17—21no—
382C2×C17—21no—
383C2×C17—42no—
384C2×C17C2×C4×C22⋊C411yescharacteristic
385C2×C17#288311yescharacteristic
386C2×C17#288311yescharacteristic
387D17—24no—
388D17—24no—
389D17—42no—
390C25—171no—
391C25—171no—
392C22×D4—171no—
393C22×D4—171no—
394C22×D4—178no—
395C22×D4—171no—
396C22×D4—344no—
397C22×D4—344no—
398C22×D4C22×D1711yescharacteristic
399C23×C4—171no—
400C23×C4—171no—
401C23×C4—171no—
402C23×C4—171no—
403C23×C4—171no—
404C23×C4—171no—
405C23×C4—171no—
406C23×C4—344no—
407C23×C4C4×D1711yescharacteristic, complemented
408C23×C4C22×D1711yescharacteristic
409C4×D4—22no—
410C4×D4—22no—
411C4×D4—342no—
412C4×D4—342no—
413C4×D4—344no—
414C4×D4—344no—
415C4×D4—344no—
416C4×D4—342no—
417C4×D4—342no—
418C4×D4—344no—
419C4×D4—342no—
420C4×D4—342no—
421#117—342no—
422#117—342no—
423#117—344no—
424C2×C4⋊C4—171no—
425C2×C4⋊C4—171no—
426C2×C4⋊C4—171no—
427C2×C4⋊C4C4×D1711yescharacteristic, complemented
428C2×C22⋊C4—171no—
429C2×C22⋊C4—171no—
430C2×C22⋊C4—171no—
431C2×C22⋊C4—171no—
432C2×C22⋊C4—174no—
433C2×C22⋊C4—174no—
434C2×C22⋊C4—174no—
435C2×C22⋊C4—1716no—
436C2×C22⋊C4—171no—
437C2×C22⋊C4—171no—
438C2×C22⋊C4—171no—
439C2×C22⋊C4—171no—
440C2×C22⋊C4—171no—
441C2×C22⋊C4—171no—
442C2×C22⋊C4—344no—
443C2×C22⋊C4—344no—
444C2×C22⋊C4—348no—
445C2×C22⋊C4—342no—
446C2×C22⋊C4—342no—
447C2×C22⋊C4—344no—
448C2×C22⋊C4C4×D1711yescharacteristic, complemented
449C2×C22⋊C4C22×D1711yescharacteristic
450C2×C22⋊C4C22×D1714yes—
451C2×C42—22no—
452C2×C42—171no—
453C2×C42—171no—
454C2×C42—171no—
455C2×C42—344no—
456C2×C42—342no—
457C2×C42C4×D1711yescharacteristic, complemented
458#99—178no—
459#99—1716no—
460#99C4×D1718yescomplemented
461#95—22no—
462#95—344no—
463#95—342no—
464C17#2039211yescharacteristic, complemented, Sylow
465C24—171no—
466C24—171no—
467C24—174no—
468C24—174no—
469C24—174no—
470C24—171no—
471C24—174no—
472C24—342no—
473C24—342no—
474C24—1361no—
475C24—1361no—
476C24—1361no—
477C24—1361no—
478C24C2×C4×D1711yescharacteristic
479C24C23×D1711yescharacteristic
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—174no—
483C2×D4—174no—
484C2×D4—174no—
485C2×D4—342no—
486C2×D4—342no—
487C2×D4—3416no—
488C2×D4—3416no—
489C2×D4—342no—
490C2×D4—342no—
491C2×D4—342no—
492C2×D4—342no—
493C2×D4C2×C4×D1714yes—
494C22×C4—24no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4—171no—
500C22×C4—171no—
501C22×C4—171no—
502C22×C4—174no—
503C22×C4—174no—
504C22×C4—171no—
505C22×C4—171no—
506C22×C4—342no—
507C22×C4—342no—
508C22×C4—342no—
509C22×C4—3416no—
510C22×C4—342no—
511C22×C4—342no—
512C22×C4—342no—
513C22×C4—344no—
514C22×C4—342no—
515C22×C4—1364no—
516C22×C4—1364no—
517C22×C4—1361no—
518C22×C4—1361no—
519C22×C4—1361no—
520C22×C4—1361no—
521C22×C4—1361no—
522C22×C4—1361no—
523C22×C4C2×C4×D1711yescharacteristic
524C22×C4C2×C4×D1711yescharacteristic
525C22×C4C2×C4×D1711yescharacteristic
526C22×C4C2×C4×D1711yescharacteristic
527C22×C4C2×C4×D1711yescharacteristic
528C22×C4D4×D1712yes—
529C22×C4D4×D1712yes—
530C4⋊C4—22no—
531C4⋊C4—342no—
532C4⋊C4—342no—
533C4⋊C4—341no—
534C4⋊C4—341no—
535C22⋊C4—22no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—172no—
539C22⋊C4—172no—
540C22⋊C4—174no—
541C22⋊C4—172no—
542C22⋊C4—172no—
543C22⋊C4—174no—
544C22⋊C4—178no—
545C22⋊C4—342no—
546C22⋊C4—342no—
547C22⋊C4—342no—
548C22⋊C4—3416no—
549C22⋊C4—342no—
550C22⋊C4—342no—
551C22⋊C4—344no—
552C22⋊C4—341no—
553C22⋊C4—341no—
554C22⋊C4C2×C4×D1718yes—
555C42—21no—
556C42—21no—
557C42—82no—
558C42—342no—
559C42—342no—
560C42—342no—
561C42—1362no—
562C42—1364no—
563C23—21no—
564C23—21no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—172no—
570C23—172no—
571C23—172no—
572C23—172no—
573C23—172no—
574C23—172no—
575C23—178no—
576C23—178no—
577C23—172no—
578C23—348no—
579C23—341no—
580C23—341no—
581C23—684no—
582C23—681no—
583C23—684no—
584C23—681no—
585C23—681no—
586C23—681no—
587C23—681no—
588C23—681no—
589C23—1362no—
590C23—1362no—
591C23—1364no—
592C23—1364no—
593C23—1364no—
594C23—1364no—
595C23C42×D1712yes—
596C23C22×C4×D1711yescharacteristic
597C23C22×C4×D1712yes—
598C23C2×D4×D1712yes—
599C23#41×D1712yes—
600D4—28no—
601D4—348no—
602D4—348no—
603D4—348no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—28no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—81no—
618C2×C4—81no—
619C2×C4—172no—
620C2×C4—172no—
621C2×C4—172no—
622C2×C4—348no—
623C2×C4—341no—
624C2×C4—341no—
625C2×C4—341no—
626C2×C4—341no—
627C2×C4—348no—
628C2×C4—684no—
629C2×C4—681no—
630C2×C4—681no—
631C2×C4—684no—
632C2×C4—684no—
633C2×C4—681no—
634C2×C4—681no—
635C2×C4—1362no—
636C2×C4—1362no—
637C2×C4—1362no—
638C2×C4—1362no—
639C2×C4—13616no—
640C2×C4—1362no—
641C2×C4C42×D1712yes—
642C2×C4C22⋊C4×D1711yescharacteristic
643C2×C4C22⋊C4×D1711yescharacteristic
644C2×C4C22⋊C4×D1712yes—
645C22—22no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—22no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—41no—
655C22—41no—
656C22—174no—
657C22—174no—
658C22—342no—
659C22—342no—
660C22—342no—
661C22—342no—
662C22—342no—
663C22—688no—
664C22—682no—
665C22—682no—
666C22—688no—
667C22—682no—
668C22—682no—
669C22—682no—
670C22—682no—
671C22—681no—
672C22—681no—
673C22—1368no—
674C22C2×C42×D1711yescharacteristic
675C22C2×C22⋊C4×D1711yescharacteristic
676C22#117×D1711yescharacteristic
677C22C4×D4×D1714yes—
678C4—21no—
679C4—21no—
680C4—22no—
681C4—22no—
682C4—48no—
683C4—41no—
684C4—41no—
685C4—342no—
686C4—342no—
687C4—342no—
688C4—688no—
689C4—681no—
690C4—681no—
691C2—24no—
692C2—21no—
693C2—21no—
694C2—42no—
695C2—344no—
696C2—344no—
697C2—682no—
698C2C4×C22⋊C4×D1711yescharacteristic
699C2#1453724211yescharacteristic
700C2#1453724311yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D17
commutatorC22×C17C22×C42
FrattiniC24C23×D17
FittingC4×C17×#99C2
socleC22×C17C22×C22⋊C4
prime radicalC22×D4×D17C22
cosocleC24×C17C24
hypercenterC4×#99D17
hypocenterC17#20392
LCSG ▷ C22×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C23×C4 ◁ C4×#99

Complements

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

NH ≅ G/Ntype
3. #14531136C2semidirect
4. #99×Dic17C2semidirect
5. C4×#10587477C2semidirect
6. C4×#10587505C2semidirect
7. #14528571C2semidirect
8. D17×#342C2semidirect
9. C4×C17×#99C2semidirect
13. C2×C4×D68C4semidirect
15. C2×#10587579C4semidirect
16. C2×C4×C22⋊D17C4semidirect
18. C2×#10587567C4semidirect
20. C2×#10587578C4semidirect
21. C2×#10587558C4semidirect
22. C22×#63227C4semidirect
24. C2×C22⋊C4×D17C4semidirect
29. #99×D17C4semidirect
30. C22⋊C4×Dic17C22semidirect
32. C4×C22⋊Dic17C22semidirect
34. #11762576C22semidirect
35. #11762575C22semidirect
38. C4×C22⋊C4×C17C22semidirect
39. C17×#342C22semidirect
43. C23×C4×C17C2×C4semidirect
47. C23×Dic17C2×C4semidirect
57. C22×C4×D17C2×C4semidirect
58. C22×C4×D17C2×C4semidirect
61. C2×C4⋊C4×C17C2×C4semidirect
62. C2×C22⋊C4×C17C2×C4semidirect
66. C2×C42×C17C2×C4semidirect
67. C2×C22⋊Dic17C2×C4semidirect
84. C2×#63227C2×C4semidirect
85. C2×#63227C2×C4semidirect
88. C2×C4⋊Dic17C2×C4semidirect
89. C2×#63225C2×C4semidirect
90. C2×#63225C2×C4semidirect
93. C2×C4×Dic17C2×C4semidirect
94. C2×C4×Dic17C2×C4semidirect
95. C2×C4×Dic17C2×C4semidirect
103. C22⋊C4×D17C2×C4semidirect
108. C17×#99C2×C4semidirect
110. #10587505C2×C4semidirect
113. #10587477C2×C4semidirect
122. C23×D17C42semidirect
148. C2×C22⋊D17C42semidirect
164. C2×D68C42semidirect
178. C2×C4×D17C42semidirect
302. C4×#99D17semidirect
376. C4×C22⋊C4C2×D17semidirect
379. #342C2×D17semidirect
407. C23×C4C4×D17semidirect
427. C2×C4⋊C4C4×D17semidirect
448. C2×C22⋊C4C4×D17semidirect
457. C2×C42C4×D17semidirect
460. #99C4×D17semidirect
464. C17#20392semidirect

Maximal subgroups

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

subgroupindex
C2×#117632812
C2×#99×D172
#145311362
#99×Dic172
C4×#105874772
C4×#105875052
#145285712
D17×#3422
C4×C17×#992
#2039217