Finite Group Databasebeta

← #17039468

Subgroups — #17039468

Order 4352.

1150 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763430C211yesmaximal, characteristic
2C2×#11762870C211yesmaximal, characteristic, complemented
3#14529736C211yesmaximal, characteristic, complemented
4#14529732C211yesmaximal, characteristic, complemented
5#14529716C211yesmaximal, characteristic, complemented
6#14529716C211yesmaximal, characteristic, complemented
7#14529106C211yesmaximal, characteristic
8#14529101C211yesmaximal, characteristic
9#14529096C211yesmaximal, characteristic, complemented
10#14529091C211yesmaximal, characteristic, complemented
11#14528617C211yesmaximal, characteristic, complemented
12#14528612C211yesmaximal, characteristic, complemented
13C4×#10587481C211yesmaximal, characteristic, complemented
14C4×#10587480C211yesmaximal, characteristic, complemented
15C17×#2274C211yesmaximal, characteristic, complemented
16#11763430—24no—
17#11763430C418yescomplemented
18C2×#10587555C2211yescharacteristic
19C2×#10587584—21no—
20C2×#10587561C2211yescharacteristic
21C2×#10587571—21no—
22C2×#10587569—21no—
23C2×#10587610C2211yescharacteristic
24C2×#10587582—21no—
25C2×#10587616C2211yescharacteristic
26C2×C4×Dic34C2211yescharacteristic
27C2×C4×D68C2211yescharacteristic
28#11762870—24no—
29C2×C4⋊#3622C2211yescharacteristic
30C2×C4⋊#3622C2211yescharacteristic
31C2×#10587481C2211yescharacteristic
32C2×#10587481C2211yescharacteristic
33C2×#10587481C2211yescharacteristic
34C2×#10587481C2211yescharacteristic
35C2×#10587480C2211yescharacteristic
36C2×#10587480C2211yescharacteristic
37C2×#10587480C2211yescharacteristic
38C2×#10587480C2211yescharacteristic
39C2×C22⋊#3622C2211yescharacteristic
40C2×C22⋊#3622C2211yescharacteristic
41C2×#10587474C2211yescharacteristic
42C2×C4×#3622C2211yescharacteristic
43#11762571C2211yescharacteristic
44#11762571C2211yescharacteristic
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51C2×C17×#117C2211yescharacteristic
52C2×C17×#117C2211yescharacteristic
53C22×C4⋊C4×C17C2211yescharacteristic
54C4×C4⋊C4×C17—21no—
55C4×C4⋊C4×C17—21no—
56C4×C4⋊C4×C17C2211yescharacteristic
57C4×C4⋊C4×C17C2211yescharacteristic
58C4×C4⋊C4×C17C2211yescharacteristic
59C4×C4⋊C4×C17C2211yescharacteristic
60C4×C22⋊C4×C17—21no—
61C4×C22⋊C4×C17—21no—
62C23×C4×C17—21no—
63C23×C4×C17C2311yescharacteristic
64C22×C22⋊D17—21no—
65C22×D68C2311yescharacteristic
66C22×C4×D17—21no—
67C22×Dic34—21no—
68C22×Dic34C2311yescharacteristic
69C17×#117—22no—
70C17×#117—22no—
71C17×#117C2×C414yes—
72C17×#117D414yes—
73C2×C4⋊C4×C17—21no—
74C2×C4⋊C4×C17—22no—
75C2×C4⋊C4×C17—22no—
76C2×C4⋊C4×C17D411yescharacteristic
77C2×C4⋊C4×C17D411yescharacteristic
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C22⋊C4×C17—21no—
83C2×C22⋊C4×C17D411yescharacteristic
84C2×C22⋊C4×C17D411yescharacteristic
85C2×C42×C17—21no—
86C2×C42×C17—21no—
87C2×C42×C17—21no—
88C2×C42×C17—21no—
89C2×C42×C17—21no—
90C2×C42×C17C2311yescharacteristic
91C2×C42×C17C2311yescharacteristic
92C2×C22⋊Dic17—21no—
93#10587616—22no—
94#10587616C2×C414yes—
95C2×#63227—21no—
96C2×#63227—21no—
97C2×#63227—21no—
98C2×#63227—21no—
99C2×C4⋊Dic17—21no—
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4⋊Dic17C2311yescharacteristic
102#10587610—22no—
103#10587610C2×C414yes—
104C2×#63225—21no—
105C2×#63225—21no—
106C2×C4×Dic17—21no—
107C22×#3622C2311yescharacteristic
108C22×#3622C2311yescharacteristic
109C22×#3622C2311yescharacteristic
110C22×#3622C2311yescharacteristic
111#10587584—28no—
112#10587582—28no—
113#10587571—28no—
114#10587569—28no—
115#10587561—22no—
116#10587561C2×C414yescomplemented
117C4×D68—22no—
118C4×D68C2×C414yescomplemented
119#10587555—22no—
120#10587555C2×C414yescomplemented
121C4×Dic34—22no—
122C4×Dic34C2×C414yescomplemented
123C17×#95—21no—
124C17×#95—21no—
125C17×#95—21no—
126C17×#95—21no—
127C22⋊#3622—22no—
128C22⋊#3622—22no—
129#10587481—22no—
130#10587481—22no—
131#10587481—22no—
132#10587481—22no—
133#10587480—22no—
134#10587480—22no—
135#10587480—22no—
136#10587480—22no—
137C4⋊#3622—22no—
138C4⋊#3622—22no—
139#10587474—22no—
140C4×#3622—22no—
141C24×C17C2×D411yescharacteristic
142C23×D17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—21no—
151C22×C4×C17—24no—
152C22×C4×C17—81no—
153C22×C4×C17—81no—
154C22×C4×C17C22×C412yes—
155C22×C4×C17C2×D412yes—
156C22×C4×C17C2×D411yescharacteristic
157C22×C4×C17C2×D411yescharacteristic
158C22×C4×C17C2×D411yescharacteristic
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2411yescharacteristic
162C2×C22⋊D17—24no—
163C2×C22⋊D17—81no—
164C2×C22⋊D17—81no—
165C22×Dic17—21no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C2×D68—21no—
169C2×D68—21no—
170C2×D68—21no—
171C2×D68—21no—
172C2×D68—21no—
173C2×D68C22×C412yes—
174C2×C4×D17—24no—
175C2×C4×D17—81no—
176C2×C4×D17—81no—
177C2×Dic34—21no—
178C2×Dic34—21no—
179C2×Dic34—21no—
180C2×Dic34—21no—
181C2×Dic34—21no—
182C2×Dic34—24no—
183C2×Dic34—81no—
184C2×Dic34—81no—
185C2×Dic34C22×C412yes—
186C4⋊C4×C17—24no—
187C4⋊C4×C17—21no—
188C4⋊C4×C17—21no—
189C4⋊C4×C17—21no—
190C4⋊C4×C17—21no—
191C4⋊C4×C17C22⋊C414yes—
192C4⋊C4×C17C22⋊C414yes—
193C4⋊C4×C17#4112yes—
194C4⋊C4×C17#4112yes—
195C4⋊C4×C17#4112yes—
196C4⋊C4×C17#4112yes—
197C22⋊C4×C17—24no—
198C22⋊C4×C17C22⋊C414yes—
199C22⋊C4×C17C22⋊C414yes—
200C42×C17—24no—
201C42×C17—81no—
202C42×C17—81no—
203C42×C17—81no—
204C42×C17—81no—
205C42×C17C22×C412yes—
206C42×C17C22×C412yes—
207C42×C17C2×D412yes—
208C42×C17C2×D412yes—
209C22⋊Dic17—24no—
210#63227—24no—
211#63227—24no—
212#63227—24no—
213#63227—24no—
214C4⋊Dic17—24no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17C22×C412yes—
218C4⋊Dic17C22×C412yes—
219#63225—24no—
220#63225—24no—
221C4×Dic17—24no—
222C2×#3622—21no—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622—21no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232C2×#3622—21no—
233C2×#3622—21no—
234#21397—171nomaximal, Sylow
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—21no—
241C23×C17C2×C22⋊C412yes—
242C23×C17C22×D411yescharacteristic
243C22×D17—22no—
244C22×D17—41no—
245C22×D17—41no—
246C22×D17—41no—
247C22×D17—41no—
248C22×D17—41no—
249C22×D17—41no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—21no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—41no—
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—84no—
277C2×C4×C17C2×C22⋊C412yes—
278C2×C4×C17C2×C22⋊C412yes—
279C2×C4×C17C2×C22⋊C412yes—
280C2×C4×C17C2×C22⋊C412yes—
281C2×C4×C17C2×C22⋊C412yes—
282C2×C4×C17C23×C411yescharacteristic
283C2×C4×C17C22×D411yescharacteristic
284C2×C4×C17C2×#4111yescharacteristic
285C2×C4×C17C2×#4111yescharacteristic
286C2×C4×C17C2×#4111yescharacteristic
287C2×C4×C17C2×#4111yescharacteristic
288C22⋊D17—84no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298D68—22no—
299D68—22no—
300D68—41no—
301D68—41no—
302C4×D17—84no—
303Dic34—22no—
304Dic34—22no—
305Dic34—41no—
306Dic34—41no—
307Dic34—84no—
308#3622—41no—
309#3622—41no—
310#3622—41no—
311#3622—41no—
312C2×#542—171no—
313C2×#433—171no—
314#2274D1711yescharacteristic, complemented
315#1988—171no—
316#1987—171no—
317#1983—171no—
318#1983—171no—
319#1875—171no—
320#1874—171no—
321#1873—171no—
322#1872—171no—
323#1763—171no—
324#1762—171no—
325C4×#103—171no—
326C4×#102—171no—
327C22×C17—22no—
328C22×C17—22no—
329C22×C17—22no—
330C22×C17—41no—
331C22×C17—41no—
332C22×C17—41no—
333C22×C17—41no—
334C22×C17C22×C22⋊C411yescharacteristic
335C22×C17#52511yescharacteristic
336C22×C17#52511yescharacteristic
337C22×C17#57611yescharacteristic
338C22×C17#57711yescharacteristic
339C22×C17#57711yescharacteristic
340C22×C17#57811yescharacteristic
341C2×D17—42no—
342C2×D17—42no—
343C2×D17—42no—
344C2×D17—81no—
345C2×D17—81no—
346C2×D17—81no—
347C2×D17—81no—
348C4×C17—22no—
349C4×C17—22no—
350C4×C17—22no—
351C4×C17—22no—
352C4×C17—22no—
353C4×C17—42no—
354C4×C17—42no—
355C4×C17—42no—
356C4×C17—42no—
357C4×C17C4×#4111yescharacteristic
358C4×C17C4×#4111yescharacteristic
359C4×C17#53211yescharacteristic
360C4×C17#53211yescharacteristic
361Dic17—42no—
362Dic17—42no—
363Dic17—42no—
364#542—178no—
365#542—344no—
366C2×C4⋊Q8—171no—
367C2×#126—341no—
368C2×#124—171no—
369C2×#124—341no—
370C2×#123—341no—
371C2×C22⋊Q8—171no—
372C2×C22⋊Q8—341no—
373C2×#121—171no—
374C2×C4×Q8—171no—
375C2×C4×D4—171no—
376C2×#117C2×D1711yescharacteristic
377C2×#117C2×D1711yescharacteristic
378C22×C4⋊C4C2×D1711yescharacteristic
379#433—344no—
380C2×C4⋊C8—171no—
381C2×C4⋊C8—171no—
382C2×#103—171no—
383C2×#103—171no—
384C2×#103—171no—
385C2×#103—171no—
386C2×#102—171no—
387C2×#102—171no—
388C2×#102—171no—
389C2×#102—171no—
390C2×C22⋊C8—171no—
391C2×C22⋊C8—171no—
392C2×#97—171no—
393C2×C4×C8—171no—
394C4×C4⋊C4—21no—
395C4×C4⋊C4—21no—
396C4×C4⋊C4C2×D1711yescharacteristic
397C4×C4⋊C4C2×D1711yescharacteristic
398C4×C4⋊C4C2×D1711yescharacteristic
399C4×C4⋊C4C2×D1711yescharacteristic
400C4×C22⋊C4—21no—
401C4×C22⋊C4—21no—
402#340—171no—
403#340—171no—
404#340—171no—
405#340—171no—
406#340—171no—
407#340—171no—
408#340—171no—
409#340—171no—
410C2×C17—42no—
411C2×C17#229711yescharacteristic
412C2×C17#289711yescharacteristic
413C2×C17#289811yescharacteristic
414C2×C17#311811yescharacteristic
415C2×C17#312111yescharacteristic
416C2×C17#312411yescharacteristic
417C2×C17#312511yescharacteristic
418D17—82no—
419C22×Q8—171no—
420C22×Q8—341no—
421C22×D4—171no—
422C22×D4—341no—
423C23×C4—21no—
424C23×C4—341no—
425C23×C4C22×D1711yescharacteristic
426C22×C8—171no—
427C22×C8—171no—
428C22×C8—171no—
429C22×C8—171no—
430C4⋊Q8—174no—
431C4⋊Q8—342no—
432#126—348no—
433#124—174no—
434#124—348no—
435#124—342no—
436#123—348no—
437C22⋊Q8—174no—
438C22⋊Q8—342no—
439C22⋊Q8—348no—
440#121—174no—
441#121—342no—
442C4×Q8—174no—
443C4×Q8—342no—
444C4×D4—174no—
445C4×D4—342no—
446#117—22no—
447#117—22no—
448#117C4×D1714yes—
449#117D6814yes—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4—341no—
456C2×C4⋊C4—341no—
457C2×C4⋊C4—341no—
458C2×C4⋊C4C22⋊D1711yescharacteristic
459C2×C4⋊C4C22⋊D1711yescharacteristic
460C2×C4⋊C4C22×D1711yescharacteristic
461C2×C4⋊C4C22×D1711yescharacteristic
462C2×C4⋊C4C22×D1711yescharacteristic
463C2×C4⋊C4C22×D1711yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4—341no—
467C2×C22⋊C4—341no—
468C2×C22⋊C4—341no—
469C2×C22⋊C4—341no—
470C2×C22⋊C4C22⋊D1711yescharacteristic
471C2×C22⋊C4C22⋊D1711yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—21no—
476C2×C42—21no—
477C2×C42—341no—
478C2×C42C22×D1711yescharacteristic
479C2×C42C22×D1711yescharacteristic
480C4⋊C8—342no—
481C4⋊C8—342no—
482#103—342no—
483#103—342no—
484#103—342no—
485#103—342no—
486#102—342no—
487#102—342no—
488#102—342no—
489#102—342no—
490C22⋊C8—342no—
491C22⋊C8—342no—
492#97—342no—
493C4×C8—342no—
494#95—21no—
495#95—21no—
496#95—21no—
497#95—21no—
498C17#2139711yescharacteristic, complemented, Sylow
499C24—341no—
500C24C2×C22⋊D1711yescharacteristic
501C2×Q8—172no—
502C2×Q8—341no—
503C2×Q8—344no—
504C2×Q8—341no—
505C2×Q8—341no—
506C2×Q8—341no—
507C2×Q8—341no—
508C2×Q8—1361no—
509C2×Q8—1361no—
510C2×D4—172no—
511C2×D4—344no—
512C2×D4—341no—
513C2×D4—341no—
514C2×D4—341no—
515C2×D4—341no—
516C2×D4—341no—
517C2×D4—1361no—
518C2×D4—1361no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—341no—
531C22×C4—341no—
532C22×C4—341no—
533C22×C4—344no—
534C22×C4—1361no—
535C22×C4—1361no—
536C22×C4C2×C4×D1712yes—
537C22×C4C2×D6812yes—
538C22×C4C2×C22⋊D1711yescharacteristic
539C22×C4C2×C22⋊D1711yescharacteristic
540C22×C4C2×C22⋊D1711yescharacteristic
541C22×C4C2×C22⋊D1711yescharacteristic
542C22×C4C2×C22⋊D1711yescharacteristic
543C22×C4C23×D1711yescharacteristic
544C2×C8—341no—
545C2×C8—341no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—341no—
551C2×C8—341no—
552C2×C8—341no—
553C2×C8—341no—
554C2×C8—341no—
555C2×C8—341no—
556C4⋊C4—24no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—172no—
562C4⋊C4—172no—
563C4⋊C4—341no—
564C4⋊C4—341no—
565C4⋊C4—344no—
566C4⋊C4—344no—
567C4⋊C4—344no—
568C4⋊C4#6322714yes—
569C4⋊C4#6322714yes—
570C4⋊C4#6325212yes—
571C4⋊C4#6325212yes—
572C4⋊C4#6325212yes—
573C4⋊C4#6325212yes—
574C22⋊C4—24no—
575C22⋊C4—344no—
576C22⋊C4—344no—
577C22⋊C4—344no—
578C22⋊C4—344no—
579C22⋊C4—344no—
580C22⋊C4#6322714yes—
581C22⋊C4#6322714yes—
582C42—24no—
583C42—81no—
584C42—81no—
585C42—81no—
586C42—81no—
587C42—344no—
588C42C2×C4×D1712yes—
589C42C2×C4×D1712yes—
590C42C2×D6812yes—
591C42C2×D6812yes—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—342no—
599C23—681no—
600C23—681no—
601C23—681no—
602C23—681no—
603C23—681no—
604C23—681no—
605C23C2×#6322712yes—
606C23C22×C22⋊D1711yescharacteristic
607Q8—342no—
608Q8—342no—
609Q8—681no—
610Q8—681no—
611Q8—1364no—
612D4—342no—
613D4—342no—
614D4—681no—
615D4—681no—
616D4—1364no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—681no—
650C2×C4—681no—
651C2×C4—681no—
652C2×C4—681no—
653C2×C4—1364no—
654C2×C4C2×#6322712yes—
655C2×C4C2×#6322712yes—
656C2×C4C2×#6322712yes—
657C2×C4C2×#6322712yes—
658C2×C4C2×#6322712yes—
659C2×C4C22×C4×D1711yescharacteristic
660C2×C4C22×D6811yescharacteristic
661C2×C4C2×#6325211yescharacteristic
662C2×C4C2×#6325211yescharacteristic
663C2×C4C2×#6325211yescharacteristic
664C2×C4C2×#6325211yescharacteristic
665C8—681no—
666C8—681no—
667C8—681no—
668C8—681no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—682no—
677C22—682no—
678C22—682no—
679C22—1361no—
680C22—1361no—
681C22—1361no—
682C22—1361no—
683C22C22×#6322711yescharacteristic
684C22#1176332011yescharacteristic
685C22#1176332011yescharacteristic
686C22#1176361211yescharacteristic
687C22#1176361711yescharacteristic
688C22#1176362011yescharacteristic
689C22#1176362411yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—42no—
699C4—682no—
700C4—682no—
701C4—682no—
702C4C4×#6325211yescharacteristic
703C4C4×#6325211yescharacteristic
704C4#1176335911yescharacteristic
705C4#1176335911yescharacteristic
706C2—42no—
707C2—1362no—
708C2#1453127411yescharacteristic
709C2#1453730711yescharacteristic
710C2#1453731411yescharacteristic
711C2#1453896811yescharacteristic
712C2#1453901311yescharacteristic
713C2#1453904611yescharacteristic
714C2#1453906111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#2274C2
socleC23×C17C22×D4
prime radicalC2×#10587616C22
cosocleC22×C4×C17C24
hypercenter#2274D17
hypocenterC17#21397
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2274

Complements

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

NH ≅ G/Ntype
2. C2×#11762870C2semidirect
3. #14529736C2semidirect
4. #14529732C2semidirect
5. #14529716C2semidirect
6. #14529716C2semidirect
9. #14529096C2semidirect
10. #14529091C2semidirect
11. #14528617C2semidirect
12. #14528612C2semidirect
13. C4×#10587481C2semidirect
14. C4×#10587480C2semidirect
15. C17×#2274C2semidirect
17. #11763430C4semidirect
116. #10587561C2×C4semidirect
118. C4×D68C2×C4semidirect
120. #10587555C2×C4semidirect
122. C4×Dic34C2×C4semidirect
314. #2274D17semidirect
498. C17#21397semidirect

Maximal subgroups

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

subgroupindex
C2×#117634302
C2×#117628702
#145297362
#145297322
#145297162
#145291062
#145291012
#145290962
#145290912
#145286172
#145286122
C4×#105874812
C4×#105874802
C17×#22742
#2139717