Finite Group Databasebeta

← #17033837

Subgroups — #17033837

Order 4352.

1386 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763285C211yesmaximal, characteristic
2C2×#11762834C211yesmaximal, characteristic
3C2×#11762816C211yesmaximal, characteristic
4C2×#103×D17C211yesmaximal, characteristic
5#14531405C211yesmaximal, characteristic
6#14528800C211yesmaximal, characteristic, complemented
7#14528799C211yesmaximal, characteristic, complemented
8#14528798C211yesmaximal, characteristic, complemented
9#14528797C211yesmaximal, characteristic, complemented
10#14528788C211yesmaximal, characteristic, complemented
11#14528787C211yesmaximal, characteristic, complemented
12#14528786C211yesmaximal, characteristic, complemented
13#14528502C211yesmaximal, characteristic
14#14528499C211yesmaximal, characteristic
15C17×#1803C211yesmaximal, characteristic, complemented
16C22×Q8×D17C2211yescharacteristic
17C22×#63218C2211yescharacteristic
18C22×C8×D17C2211yescharacteristic
19#11763285—24no—
20#11763285C418yescomplemented
21C2×Q8×Dic17C2211yescharacteristic
22C2×C4×Dic34—21no—
23C2×C4×Dic34C2211yescharacteristic
24C2×#10587573—21no—
25C2×#10587573C2211yescharacteristic
26C2×#10587578—21no—
27C2×#10587578C2211yescharacteristic
28C2×#10587578C2211yescharacteristic
29C2×#10587558—21no—
30C2×#10587558C2211yescharacteristic
31C2×C4⋊C4×D17C2211yescharacteristic
32#11762834—24no—
33C2×C4⋊#3622C2211yescharacteristic
34C2×#10587485C2211yescharacteristic
35C2×#10587485C2211yescharacteristic
36#11762816—24no—
37C2×#10587487C2211yescharacteristic
38C2×#10587487C2211yescharacteristic
39C2×#10587506C2211yescharacteristic
40C2×#10587506C2211yescharacteristic
41C2×#10587481C2211yescharacteristic
42C2×#10587481C2211yescharacteristic
43#103×D17—24no—
44#11762704—21no—
45#11762704—21no—
46#11762680—21no—
47#11762680—21no—
48#11762678C2211yescharacteristic
49#11762675C2211yescharacteristic
50#11762674C2211yescharacteristic
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55#11762571C2211yescharacteristic
56#11762571C2211yescharacteristic
57C2×C4×Q8×C17C2211yescharacteristic
58C2×C17×C4⋊C8C2211yescharacteristic
59C2×C17×#103C2211yescharacteristic
60C2×C17×#103C2211yescharacteristic
61C17×#384C2211yescharacteristic
62C17×#340C2211yescharacteristic
63C17×#340C2211yescharacteristic
64C22×Q8×C17C2311yescharacteristic
65C2×Q8×D17—22no—
66C2×Q8×D17—22no—
67C2×Q8×D17—22no—
68C2×Q8×D17C2×C414yes—
69C2×Q8×D17D414yes—
70C2×Q8×D17Q814yes—
71C22×C4×D17—21no—
72C22×C4×D17—21no—
73C22×C4×D17C2311yescharacteristic
74C22×Dic34—21no—
75C22×Dic34C2311yescharacteristic
76C22×C8×C17C2311yescharacteristic
77C22×C8×C17C2311yescharacteristic
78C4×Q8×C17—22no—
79C4×Q8×C17C2×C414yescomplemented
80C2×C4⋊C4×C17—21no—
81C2×C4⋊C4×C17—21no—
82C2×C4⋊C4×C17—21no—
83C2×C4⋊C4×C17C2311yescharacteristic
84C2×C4⋊C4×C17C2311yescharacteristic
85C2×C4⋊C4×C17C2311yescharacteristic
86C2×C42×C17—21no—
87C2×C42×C17C2311yescharacteristic
88Q8×Dic17—22no—
89Q8×Dic17C2×C414yescomplemented
90C2×#63227—21no—
91C2×#63227—21no—
92C2×#63227D411yescharacteristic
93C2×#63227D411yescharacteristic
94C2×C4⋊Dic17—21no—
95C2×C4⋊Dic17C2311yescharacteristic
96C2×C4⋊Dic17C2311yescharacteristic
97C2×C4⋊Dic17C2311yescharacteristic
98C2×#63225—21no—
99C2×#63225—21no—
100C2×#63225—21no—
101C2×#63225—21no—
102C2×#63225—21no—
103C2×#63225D411yescharacteristic
104C2×#63225D411yescharacteristic
105C2×C4×Dic17—21no—
106C2×C4×Dic17—21no—
107C2×C4×Dic17—21no—
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
110C2×C4×Dic17C2311yescharacteristic
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C2×#63218—22no—
114C2×#63218—22no—
115C2×#63218—22no—
116C2×C8×D17—22no—
117C2×C8×D17—22no—
118C2×C8×D17—22no—
119#10587578—28no—
120#10587578—22no—
121#10587578—22no—
122#10587578—22no—
123#10587578C2×C414yes—
124C4⋊C4×D17—22no—
125C4⋊C4×D17—22no—
126#10587573—28no—
127#10587573—22no—
128#10587573C2×C414yescomplemented
129#10587558—28no—
130#10587558C2×C414yes—
131#10587558D414yes—
132C4×Dic34—28no—
133C4×Dic34—22no—
134C4×Dic34C2×C414yescomplemented
135C17×C4⋊C8—22no—
136C17×#103—22no—
137C17×#103—22no—
138#10587506—22no—
139#10587506—22no—
140#10587502—21no—
141#10587502—21no—
142#10587502—21no—
143#10587502—21no—
144#10587487—22no—
145#10587487—22no—
146#10587485—22no—
147#10587485—22no—
148#10587481—22no—
149#10587481—22no—
150C4⋊#3622—22no—
151C23×D17C2×D411yescharacteristic
152C2×Q8×C17—21no—
153C2×Q8×C17—21no—
154C2×Q8×C17—21no—
155C2×Q8×C17C22×C412yes—
156C2×Q8×C17C2×D412yes—
157C2×Q8×C17C2×Q812yes—
158C22×C4×C17—21no—
159C22×C4×C17—21no—
160C22×C4×C17—21no—
161C22×C4×C17—21no—
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17C2411yescharacteristic
165C22×Dic17—21no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C22×Dic17—21no—
169C22×Dic17C2×D411yescharacteristic
170C22×Dic17C2×D411yescharacteristic
171C22×Dic17C2×D411yescharacteristic
172Q8×D17—28no—
173Q8×D17—28no—
174Q8×D17—28no—
175Q8×D17C4⋊C4116yescomplemented
176C2×C4×D17—24no—
177C2×C4×D17—24no—
178C2×C4×D17—24no—
179C2×C4×D17—42no—
180C2×C4×D17—81no—
181C2×C4×D17—81no—
182C2×C4×D17C22×C412yes—
183C2×C4×D17C2×D412yes—
184C2×C4×D17C2×D412yes—
185C2×C4×D17C2×Q812yes—
186C2×C4×D17#4112yes—
187C2×C4×D17#4112yes—
188C2×Dic34—21no—
189C2×Dic34—21no—
190C2×Dic34—21no—
191C2×Dic34—24no—
192C2×Dic34—24no—
193C2×Dic34—24no—
194C2×Dic34C22×C412yes—
195C2×Dic34C2×D412yes—
196C2×Dic34C2×Q812yes—
197C2×C8×C17—21no—
198C2×C8×C17—21no—
199C2×C8×C17—21no—
200C2×C8×C17—21no—
201C2×C8×C17—21no—
202C2×C8×C17—21no—
203C4⋊C4×C17—24no—
204C4⋊C4×C17—21no—
205C4⋊C4×C17—21no—
206C4⋊C4×C17—21no—
207C4⋊C4×C17—21no—
208C4⋊C4×C17—21no—
209C4⋊C4×C17—81no—
210C4⋊C4×C17—81no—
211C4⋊C4×C17C22×C412yes—
212C42×C17—24no—
213C42×C17C22×C412yes—
214C42×C17C2×D412yes—
215#63227—24no—
216#63227—42no—
217#63227C22⋊C414yes—
218#63227C22⋊C414yes—
219C4⋊Dic17—21no—
220C4⋊Dic17—24no—
221C4⋊Dic17—21no—
222C4⋊Dic17—21no—
223C4⋊Dic17—21no—
224C4⋊Dic17—21no—
225C4⋊Dic17C22×C412yes—
226#63225—24no—
227#63225—24no—
228#63225—42no—
229#63225—81no—
230#63225—81no—
231#63225C22⋊C414yes—
232#63225C22⋊C414yes—
233C4×Dic17—24no—
234C4×Dic17—24no—
235C4×Dic17—24no—
236C4×Dic17—24no—
237C4×Dic17—42no—
238C4×Dic17C22×C412yes—
239C4×Dic17C2×D412yes—
240C2×#3622—21no—
241C2×#3622—21no—
242C2×#3622—21no—
243C2×#3622—21no—
244C2×#3622—21no—
245C2×#3622—21no—
246#63218—44no—
247C8×D17—44no—
248#20651—171nomaximal, Sylow
249C23×C17C22×D411yescharacteristic
250C22×D17—21no—
251C22×D17—21no—
252C22×D17—21no—
253C22×D17—21no—
254C22×D17C2×C22⋊C412yes—
255C22×D17#12112yes—
256C22×D17C22⋊Q812yes—
257Q8×C17—22no—
258Q8×C17—22no—
259Q8×C17—22no—
260Q8×C17C2×C4⋊C414yes—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—21no—
267C2×C4×C17—21no—
268C2×C4×C17—22no—
269C2×C4×C17—41no—
270C2×C4×C17—41no—
271C2×C4×C17—41no—
272C2×C4×C17—41no—
273C2×C4×C17—41no—
274C2×C4×C17—41no—
275C2×C4×C17—41no—
276C2×C4×C17—41no—
277C2×C4×C17C2×C22⋊C412yes—
278C2×C4×C17C2×C22⋊C412yes—
279C2×C4×C17C23×C411yescharacteristic
280C2×C4×C17C22×D411yescharacteristic
281C2×C4×C17C22×D411yescharacteristic
282C2×C4×C17C22×Q811yescharacteristic
283C2×C4×C17C2×#4111yescharacteristic
284C2×C4×C17C2×#4111yescharacteristic
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—22no—
288C2×Dic17—21no—
289C2×Dic17—21no—
290C2×Dic17—21no—
291C2×Dic17—21no—
292C2×Dic17—22no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17C2×C22⋊C412yes—
302C2×Dic17C2×C22⋊C412yes—
303C2×Dic17C2×C22⋊C412yes—
304C2×Dic17#12112yes—
305C2×Dic17C22⋊Q812yes—
306C4×D17—216no—
307C4×D17—84no—
308C4×D17C2×C4⋊C414yes—
309C4×D17#11714yes—
310C4×D17#12114yes—
311C4×D17C22⋊Q814yes—
312Dic34—22no—
313Dic34—22no—
314Dic34—22no—
315Dic34—216no—
316Dic34C2×C4⋊C414yes—
317C8×C17—41no—
318C8×C17—41no—
319#3622—41no—
320#3622—41no—
321C2×#519—171no—
322C2×#424—171no—
323C2×#419—171no—
324C22×#103—171no—
325#2317—171no—
326#1805—171no—
327#1805—171no—
328#1805—171no—
329#1805—171no—
330#1803—171no—
331#1803—171no—
332#1803—171no—
333#1803D1711yescharacteristic, complemented
334#1736—171no—
335#1735—171no—
336C22×C17C22×C22⋊C411yescharacteristic
337C22×C17C2×#12111yescharacteristic
338C22×C17C2×C22⋊Q811yescharacteristic
339C22×C17#57711yescharacteristic
340C22×C17#57711yescharacteristic
341C22×C17#57811yescharacteristic
342C22×C17#57811yescharacteristic
343C2×D17—22no—
344C2×D17—22no—
345C2×D17—22no—
346C2×D17—22no—
347C2×D17—22no—
348C2×D17—22no—
349C2×D17#38014yes—
350C4×C17—22no—
351C4×C17—22no—
352C4×C17—24no—
353C4×C17—42no—
354C4×C17—81no—
355C4×C17—81no—
356C4×C17C22×C4⋊C411yescharacteristic
357C4×C17C2×#11711yescharacteristic
358C4×C17C2×#12111yescharacteristic
359C4×C17C2×C22⋊Q811yescharacteristic
360Dic17—22no—
361Dic17—22no—
362Dic17—24no—
363Dic17—42no—
364Dic17—81no—
365Dic17—81no—
366Dic17#38014yes—
367C23×Q8—171no—
368C22×M16—171no—
369C23×C8—171no—
370#519—178no—
371#519—344no—
372C2×C4×Q8—171no—
373C2×C4×Q8—171no—
374C2×C4×Q8—171no—
375C2×C4×Q8—341no—
376C2×C4×Q8—341no—
377C2×C4×Q8C2×D1711yescharacteristic
378C2×#117—171no—
379C2×#117—171no—
380C2×#117—171no—
381C2×#117—341no—
382C2×#117—341no—
383C22×C4⋊C4—171no—
384#424—344no—
385C2×C4⋊C8—171no—
386C2×C4⋊C8—171no—
387C2×C4⋊C8—171no—
388C2×C4⋊C8C2×D1711yescharacteristic
389#419—344no—
390C2×#103—171no—
391C2×#103—171no—
392C2×#103—171no—
393C2×#103—171no—
394C2×#103—171no—
395C2×#103—171no—
396C2×#103—344no—
397C2×#103C2×D1711yescharacteristic
398C2×#103C2×D1711yescharacteristic
399#389—341no—
400#389—341no—
401#385—341no—
402#385—341no—
403#384—171no—
404#384C2×D1711yescharacteristic
405#382—171no—
406#382—171no—
407#340—171no—
408#340—171no—
409#340—171no—
410#340—171no—
411#340—171no—
412#340—171no—
413#340C2×D1711yescharacteristic
414#340C2×D1711yescharacteristic
415C2×C17C2×#38011yescharacteristic
416C2×C17#289811yescharacteristic
417C2×C17#289811yescharacteristic
418C2×C17#304311yescharacteristic
419C2×C17#304411yescharacteristic
420C2×C17#308211yescharacteristic
421C2×C17#308211yescharacteristic
422D17—24no—
423C22×Q8—174no—
424C22×Q8—174no—
425C22×Q8—174no—
426C22×Q8—171no—
427C22×Q8—341no—
428C22×Q8—342no—
429C22×Q8—342no—
430C22×Q8—342no—
431C22×Q8C22×D1711yescharacteristic
432C23×C4—171no—
433C23×C4—341no—
434C23×C4—341no—
435C2×M16—342no—
436C2×M16—342no—
437C2×M16—342no—
438C22×C8—171no—
439C22×C8—171no—
440C22×C8—342no—
441C22×C8—342no—
442C22×C8—342no—
443C22×C8C22×D1711yescharacteristic
444C22×C8C22×D1711yescharacteristic
445C4×Q8—22no—
446C4×Q8—174no—
447C4×Q8—174no—
448C4×Q8—174no—
449C4×Q8—348no—
450C4×Q8—342no—
451C4×Q8—342no—
452C4×Q8—348no—
453C4×Q8—342no—
454C4×Q8C4×D1714yescomplemented
455#117—174no—
456#117—174no—
457#117—174no—
458#117—348no—
459#117—348no—
460#117—342no—
461#117—342no—
462#117—342no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—171no—
467C2×C4⋊C4—171no—
468C2×C4⋊C4—171no—
469C2×C4⋊C4—171no—
470C2×C4⋊C4—171no—
471C2×C4⋊C4—342no—
472C2×C4⋊C4—342no—
473C2×C4⋊C4—341no—
474C2×C4⋊C4—341no—
475C2×C4⋊C4—341no—
476C2×C4⋊C4—341no—
477C2×C4⋊C4—341no—
478C2×C4⋊C4—341no—
479C2×C4⋊C4C22×D1711yescharacteristic
480C2×C4⋊C4C22×D1711yescharacteristic
481C2×C4⋊C4C22×D1711yescharacteristic
482C2×C22⋊C4—171no—
483C2×C22⋊C4—171no—
484C2×C22⋊C4—341no—
485C2×C22⋊C4—341no—
486C2×C42—21no—
487C2×C42—171no—
488C2×C42—341no—
489C2×C42—341no—
490C2×C42—341no—
491C2×C42—341no—
492C2×C42—341no—
493C2×C42C22×D1711yescharacteristic
494C4⋊C8—22no—
495C4⋊C8—342no—
496C4⋊C8—342no—
497C4⋊C8—342no—
498#103—22no—
499#103—22no—
500#103—342no—
501#103—342no—
502#103—342no—
503#103—342no—
504#103—342no—
505#103—342no—
506#95—341no—
507#95—341no—
508#95—341no—
509#95—341no—
510C17#2065111yescharacteristic, complemented, Sylow
511C24—171no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—1716no—
516C2×Q8—172no—
517C2×Q8—172no—
518C2×Q8—172no—
519C2×Q8—344no—
520C2×Q8—344no—
521C2×Q8—344no—
522C2×Q8—348no—
523C2×Q8—348no—
524C2×Q8—348no—
525C2×Q8—341no—
526C2×Q8—341no—
527C2×Q8—341no—
528C2×Q8C2×C4×D1712yes—
529C2×Q8D4×D1712yes—
530C2×Q8Q8×D1712yes—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—171no—
536C22×C4—172no—
537C22×C4—172no—
538C22×C4—172no—
539C22×C4—172no—
540C22×C4—172no—
541C22×C4—172no—
542C22×C4—171no—
543C22×C4—171no—
544C22×C4—344no—
545C22×C4—344no—
546C22×C4—344no—
547C22×C4—341no—
548C22×C4—341no—
549C22×C4—341no—
550C22×C4—341no—
551C22×C4—682no—
552C22×C4—1361no—
553C22×C4—1361no—
554C22×C4D4×D1711yescharacteristic
555C22×C4D4×D1711yescharacteristic
556C22×C4C23×D1711yescharacteristic
557M16—684no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—341no—
565C2×C8—341no—
566C2×C8—341no—
567C2×C8—341no—
568C2×C8—341no—
569C2×C8—341no—
570C2×C8—684no—
571C4⋊C4—21no—
572C4⋊C4—24no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—81no—
578C4⋊C4—81no—
579C4⋊C4—174no—
580C4⋊C4—174no—
581C4⋊C4—172no—
582C4⋊C4—344no—
583C4⋊C4—344no—
584C4⋊C4—341no—
585C4⋊C4—344no—
586C4⋊C4—341no—
587C4⋊C4—341no—
588C4⋊C4—341no—
589C4⋊C4—341no—
590C4⋊C4—682no—
591C4⋊C4—1361no—
592C4⋊C4—1361no—
593C4⋊C4C2×C4×D1712yes—
594C22⋊C4—174no—
595C22⋊C4—174no—
596C22⋊C4—344no—
597C22⋊C4—682no—
598C42—24no—
599C42—172no—
600C42—172no—
601C42—344no—
602C42—344no—
603C42—344no—
604C42—344no—
605C42—682no—
606C42C2×C4×D1712yes—
607C42D4×D1712yes—
608C23—172no—
609C23—172no—
610C23—172no—
611C23—341no—
612C23—341no—
613C23—341no—
614C23—341no—
615C23C2×D4×D1711yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8—174no—
620Q8—3416no—
621Q8—342no—
622Q8—342no—
623Q8—342no—
624Q8C4⋊C4×D1714yes—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—172no—
642C2×C4—172no—
643C2×C4—172no—
644C2×C4—174no—
645C2×C4—174no—
646C2×C4—174no—
647C2×C4—174no—
648C2×C4—172no—
649C2×C4—172no—
650C2×C4—3416no—
651C2×C4—342no—
652C2×C4—342no—
653C2×C4—342no—
654C2×C4—341no—
655C2×C4—341no—
656C2×C4—341no—
657C2×C4—341no—
658C2×C4—342no—
659C2×C4—681no—
660C2×C4—681no—
661C2×C4—681no—
662C2×C4—681no—
663C2×C4—681no—
664C2×C4—681no—
665C2×C4—681no—
666C2×C4—681no—
667C2×C4—1364no—
668C2×C4C22⋊C4×D1712yes—
669C2×C4C22⋊C4×D1712yes—
670C2×C4C22×C4×D1711yescharacteristic
671C2×C4C2×D4×D1711yescharacteristic
672C2×C4C2×D4×D1711yescharacteristic
673C2×C4C2×Q8×D1711yescharacteristic
674C2×C4#41×D1711yescharacteristic
675C2×C4#41×D1711yescharacteristic
676C8—41no—
677C8—41no—
678C8—681no—
679C8—681no—
680C22—174no—
681C22—342no—
682C22—342no—
683C22—342no—
684C22—342no—
685C22—342no—
686C22—342no—
687C22C2×C22⋊C4×D1711yescharacteristic
688C22#121×D1711yescharacteristic
689C22C22⋊Q8×D1711yescharacteristic
690C22#1176361511yescharacteristic
691C22#1176361911yescharacteristic
692C22#1176362211yescharacteristic
693C22#1176362511yescharacteristic
694C4—24no—
695C4—22no—
696C4—22no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—174no—
701C4—344no—
702C4—342no—
703C4—342no—
704C4—682no—
705C4—1361no—
706C4—1361no—
707C4C2×C4⋊C4×D1711yescharacteristic
708C4#117×D1711yescharacteristic
709C4#121×D1711yescharacteristic
710C4C22⋊Q8×D1711yescharacteristic
711C2—344no—
712C2D17×#38011yescharacteristic
713C2#1453731211yescharacteristic
714C2#1453731511yescharacteristic
715C2#1453830011yescharacteristic
716C2#1453830911yescharacteristic
717C2#1453861911yescharacteristic
718C2#1453862111yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1803C2
socleC23×C17C22×D4
prime radicalC23×D17C2×D4
cosocleC22×C4×C17C24
hypercenter#1803D17
hypocenterC17#20651
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1803

Complements

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

NH ≅ G/Ntype
6. #14528800C2semidirect
7. #14528799C2semidirect
8. #14528798C2semidirect
9. #14528797C2semidirect
10. #14528788C2semidirect
11. #14528787C2semidirect
12. #14528786C2semidirect
15. C17×#1803C2semidirect
20. #11763285C4semidirect
79. C4×Q8×C17C2×C4semidirect
89. Q8×Dic17C2×C4semidirect
128. #10587573C2×C4semidirect
134. C4×Dic34C2×C4semidirect
175. Q8×D17C4⋊C4semidirect
333. #1803D17semidirect
454. C4×Q8C4×D17semidirect
510. C17#20651semidirect

Maximal subgroups

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

subgroupindex
C2×#117632852
C2×#117628342
C2×#117628162
C2×#103×D172
#145314052
#145288002
#145287992
#145287982
#145287972
#145287882
#145287872
#145287862
#145285022
#145284992
C17×#18032
#2065117