Finite Group Databasebeta

← #17044608

Subgroups — #17044608

Order 4352.

1090 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762771C211yesmaximal, characteristic
2#14531166C211yesmaximal, characteristic
3#14531163C211yesmaximal, characteristic
4#14528986C211yesmaximal, characteristic, complemented
5#14528985C211yesmaximal, characteristic, complemented
6#14528984C211yesmaximal, characteristic, complemented
7#14528983C211yesmaximal, characteristic, complemented
8#14528982C211yesmaximal, characteristic, complemented
9#14528981C211yesmaximal, characteristic, complemented
10#14528980C211yesmaximal, characteristic, complemented
11#14528818C211yesmaximal, characteristic, complemented
12#14528816C211yesmaximal, characteristic, complemented
13#14528816C211yesmaximal, characteristic, complemented
14#14528814C211yesmaximal, characteristic, complemented
15C17×#1854C211yesmaximal, characteristic, complemented
16C23×C4×D17C2211yescharacteristic
17C22×#63218C2211yescharacteristic
18C22×#63218C2211yescharacteristic
19C2×#10587612C2211yescharacteristic
20C2×#10587578C2211yescharacteristic
21C2×#10587578C2211yescharacteristic
22C2×#10587489C2211yescharacteristic, complemented
23C2×#10587478C2211yescharacteristic, complemented
24C2×#10587478C2211yescharacteristic, complemented
25C2×#10587488C2211yescharacteristic, complemented
26C2×#10587479C2211yescharacteristic, complemented
27C2×#10587479C2211yescharacteristic, complemented
28#11762771C418yescomplemented
29C2×C22⋊#3622C2211yescharacteristic
30C2×#10587491C2211yescharacteristic
31C2×#10587491C2211yescharacteristic
32#11762671—21no—
33#11762670—21no—
34#11762669C2211yescharacteristic
35#11762666C2211yescharacteristic
36#11762666C2211yescharacteristic
37#11762666C2211yescharacteristic
38#11762666C2211yescharacteristic
39#11762666C2211yescharacteristic
40#11762666C2211yescharacteristic
41#11762664—21no—
42#11762664—21no—
43C22⋊C4×Dic17—21no—
44C4×#63227—21no—
45C4×#63227—21no—
46#11762656—21no—
47#11762572C2211yescharacteristic, complemented
48#11762572C2211yescharacteristic, complemented
49#11762571C2211yescharacteristic, complemented
50#11762571C2211yescharacteristic, complemented
51#11762571C2211yescharacteristic, complemented
52#11762571C2211yescharacteristic, complemented
53C2×C17×#117C2211yescharacteristic
54C2×C17×#107C2211yescharacteristic, complemented
55C2×C17×#106C2211yescharacteristic, complemented
56C2×C17×C22⋊C8C2211yescharacteristic
57C17×#380C2211yescharacteristic
58C17×#340C2211yescharacteristic, complemented
59C17×#340C2211yescharacteristic, complemented
60C24×D17D411yescharacteristic
61C23×C4×C17C2311yescharacteristic
62C23×Dic17D411yescharacteristic
63C22×C4×D17—41no—
64C22×C4×D17—41no—
65C22×C4×D17—41no—
66C22×C4×D17—41no—
67C22×C4×D17C2×C414yes—
68C22×C4×D17D411yescharacteristic
69C22×C4×D17D411yescharacteristic
70C22×C4×D17Q814yes—
71C22×C4×D17C2311yescharacteristic
72C22×C4×D17C2311yescharacteristic
73C22×C8×C17C2311yescharacteristic
74C22×C8×C17C2311yescharacteristic
75C17×#117—41no—
76C17×#117—41no—
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C22⋊C4×C17—21no—
82C2×C22⋊C4×C17—21no—
83C2×C42×C17—21no—
84C2×C22⋊Dic17—21no—
85C2×C22⋊Dic17—21no—
86C2×#63227—21no—
87C2×#63227—21no—
88C2×#63227—21no—
89C2×#63227—21no—
90C2×#63227—21no—
91C2×#63227—21no—
92C2×#63227—21no—
93C2×#63227—21no—
94#10587612—41no—
95#10587612—41no—
96C2×C4⋊Dic17C2311yescharacteristic
97C2×C4⋊Dic17C2311yescharacteristic
98C2×C4⋊Dic17C2311yescharacteristic
99C2×C4⋊Dic17C2311yescharacteristic
100C2×C4×Dic17—21no—
101C2×C4×Dic17—21no—
102C2×C4×Dic17—21no—
103C22×#3622C2311yescharacteristic
104C22×#3622C2311yescharacteristic
105C2×#63218—41no—
106C2×#63218—41no—
107C2×#63218—41no—
108C2×#63218—41no—
109C2×#63218C2×C414yes—
110C2×#63218C2×C414yes—
111#10587578—41no—
112#10587578—41no—
113#10587578—41no—
114#10587578—41no—
115C17×#107—41no—
116C17×#106—41no—
117C17×C22⋊C8C2×C414yes—
118C17×#95—21no—
119#10587502—21no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126C22⋊#3622C2×C414yes—
127#10587491C2×C414yes—
128#10587491C2×C414yes—
129#10587489—41no—
130#10587488—41no—
131#10587479—41no—
132#10587479—41no—
133#10587478—41no—
134#10587478—41no—
135C24×C17C2×D411yescharacteristic
136C23×D17—41no—
137C23×D17—41no—
138C23×D17—41no—
139C23×D17—41no—
140C23×D17—41no—
141C23×D17—41no—
142C23×D17C4⋊C414yes—
143C23×D17C2×D411yescharacteristic
144C23×D17C2×D411yescharacteristic
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—21no—
152C22×C4×C17—21no—
153C22×C4×C17C22×C412yes—
154C22×C4×C17C2×D411yescharacteristic
155C22×C4×C17C2×Q812yes—
156C22×C4×C17C2411yescharacteristic
157C22×Dic17—21no—
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17—21no—
161C22×Dic17—41no—
162C22×Dic17—41no—
163C22×Dic17C4⋊C414yes—
164C22×Dic17C2×D411yescharacteristic
165C22×Dic17C2×D411yescharacteristic
166C2×C4×D17—21no—
167C2×C4×D17—21no—
168C2×C4×D17—21no—
169C2×C4×D17—21no—
170C2×C4×D17—21no—
171C2×C4×D17—21no—
172C2×C4×D17—21no—
173C2×C4×D17—21no—
174C2×C4×D17—44no—
175C2×C4×D17—44no—
176C2×C4×D17—44no—
177C2×C4×D17—44no—
178C2×C4×D17—41no—
179C2×C4×D17—41no—
180C2×C4×D17—41no—
181C2×C4×D17—41no—
182C2×C4×D17C4⋊C414yes—
183C2×C4×D17C4⋊C414yes—
184C2×C4×D17C22×C412yes—
185C2×C4×D17C22×C412yes—
186C2×C4×D17C2×Q812yes—
187C2×C4×D17C2×Q812yes—
188C2×C8×C17—21no—
189C2×C8×C17—21no—
190C2×C8×C17—21no—
191C2×C8×C17—21no—
192C2×C8×C17C22×C412yes—
193C2×C8×C17C22×C412yes—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—21no—
198C4⋊C4×C17—21no—
199C4⋊C4×C17—21no—
200C4⋊C4×C17—21no—
201C4⋊C4×C17—21no—
202C22⋊C4×C17—42no—
203C22⋊C4×C17—42no—
204C42×C17—42no—
205C22⋊Dic17—42no—
206C22⋊Dic17—42no—
207#63227—42no—
208#63227—42no—
209#63227—42no—
210#63227—42no—
211#63227—42no—
212#63227—42no—
213#63227—42no—
214#63227—42no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4⋊Dic17—21no—
221C4⋊Dic17—21no—
222C4⋊Dic17—21no—
223C4×Dic17—42no—
224C4×Dic17—42no—
225C4×Dic17—42no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622C22×C412yes—
231C2×#3622C22×C412yes—
232#63218—44no—
233#63218—44no—
234#21943—171nomaximal, Sylow
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—21no—
241C23×C17C2×C4⋊C412yes—
242C23×C17C22×D411yescharacteristic
243C22×D17—21no—
244C22×D17—21no—
245C22×D17—21no—
246C22×D17—21no—
247C22×D17—21no—
248C22×D17—21no—
249C22×D17—21no—
250C22×D17—21no—
251C22×D17—21no—
252C22×D17—21no—
253C22×D17—21no—
254C22×D17—21no—
255C22×D17—44no—
256C22×D17—44no—
257C22×D17—44no—
258C22×D17—44no—
259C22×D17—44no—
260C22×D17—44no—
261C22×D17—44no—
262C22×D17C2×C4⋊C412yes—
263C22×D17C2×C4⋊C412yes—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
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×C17—41no—
278C2×C4×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17—41no—
281C2×C4×C17—41no—
282C2×C4×C17C2×C4⋊C412yes—
283C2×C4×C17C23×C411yescharacteristic
284C2×C4×C17C22×Q811yescharacteristic
285C2×C4×C17H(5,𝔽2)11yescharacteristic
286C2×C4×C17H(5,𝔽2)11yescharacteristic
287C2×C4×C17H(5,𝔽2)11yescharacteristic
288C2×C4×C17H(5,𝔽2)11yescharacteristic
289C2×Dic17—21no—
290C2×Dic17—21no—
291C2×Dic17—21no—
292C2×Dic17—21no—
293C2×Dic17—44no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—41no—
303C2×Dic17—41no—
304C2×Dic17—41no—
305C2×Dic17—41no—
306C2×Dic17C2×C4⋊C412yes—
307C2×Dic17C2×C4⋊C412yes—
308C4×D17—22no—
309C4×D17—22no—
310C4×D17—22no—
311C4×D17—22no—
312C4×D17—22no—
313C4×D17—22no—
314C4×D17—22no—
315C4×D17—22no—
316C4×D17—44no—
317C4×D17—44no—
318C8×C17—22no—
319C8×C17—22no—
320#3622—22no—
321#3622—22no—
322C2×#407—171no—
323#2280—171no—
324#2280—171no—
325#1854—171no—
326#1854—171no—
327#1854—171no—
328#1854—171no—
329#1854—171no—
330#1854—171no—
331#1854—171no—
332#1854D1711yescharacteristic, complemented
333#1809—171no—
334#1809—171no—
335#1809—171no—
336#1809—171no—
337C22×C17—22no—
338C22×C17—22no—
339C22×C17—22no—
340C22×C17—41no—
341C22×C17—41no—
342C22×C17—41no—
343C22×C17—41no—
344C22×C17C22×C4⋊C411yescharacteristic
345C22×C17#53411yescharacteristic
346C22×C17#53411yescharacteristic
347C22×C17#57511yescharacteristic
348C22×C17#57511yescharacteristic
349C22×C17#57511yescharacteristic
350C22×C17#57511yescharacteristic
351C2×D17—22no—
352C2×D17—22no—
353C2×D17—22no—
354C2×D17—22no—
355C2×D17—22no—
356C2×D17—22no—
357C2×D17—416no—
358C2×D17—41no—
359C2×D17—41no—
360C2×D17—41no—
361C2×D17—41no—
362C2×D17—41no—
363C2×D17—41no—
364C2×D17—41no—
365C2×D17—41no—
366C4×C17—22no—
367C4×C17—81no—
368C4×C17—81no—
369C4×C17—81no—
370C4×C17—81no—
371C4×C17#51811yescharacteristic
372C4×C17#51811yescharacteristic
373C4×C17#54311yescharacteristic
374C4×C17#54311yescharacteristic
375Dic17—22no—
376Dic17—22no—
377Dic17—81no—
378Dic17—81no—
379Dic17—81no—
380Dic17—81no—
381C24×C4—171no—
382C22×M16—171no—
383C22×M16—171no—
384C2×#117—171no—
385C2×#117—171no—
386C2×#117—171no—
387C2×#117C2×D1711yescharacteristic
388C2×#107—171no—
389C2×#107—171no—
390C2×#107—171no—
391C2×#107C2×D1711yescharacteristic, complemented
392C2×#106—171no—
393C2×#106—171no—
394C2×#106—171no—
395C2×#106C2×D1711yescharacteristic, complemented
396#407—178no—
397C2×C22⋊C8—171no—
398C2×C22⋊C8—171no—
399C2×C22⋊C8—171no—
400C2×C22⋊C8C2×D1711yescharacteristic
401#381—341no—
402#381—341no—
403#380—171no—
404#380—171no—
405#380—171no—
406#380—171no—
407#380—171no—
408#380—171no—
409#380—171no—
410#380C2×D1711yescharacteristic
411#379—341no—
412#379—341no—
413C4×C22⋊C4—341no—
414C4×C22⋊C4—341no—
415C4×C22⋊C4—341no—
416C4×C22⋊C4—341no—
417#340—171no—
418#340—171no—
419#340—171no—
420#340—171no—
421#340—171no—
422#340—171no—
423#340C2×D1711yescharacteristic, complemented
424#340C2×D1711yescharacteristic, complemented
425C2×C17—42no—
426C2×C17#231511yescharacteristic
427C2×C17#291111yescharacteristic
428C2×C17#291111yescharacteristic
429C2×C17#319711yescharacteristic
430C2×C17#319711yescharacteristic
431C2×C17#319711yescharacteristic
432C2×C17#319711yescharacteristic
433D17—42no—
434D17—42no—
435C25—171no—
436C23×C4—171no—
437C23×C4—171no—
438C23×C4—171no—
439C23×C4—174no—
440C23×C4—171no—
441C23×C4—171no—
442C23×C4—174no—
443C23×C4—681no—
444C23×C4—681no—
445C23×C4—681no—
446C23×C4—681no—
447C23×C4C22×D1711yescharacteristic
448C2×M16—174no—
449C2×M16—174no—
450C2×M16—681no—
451C2×M16—681no—
452C2×M16—681no—
453C2×M16—681no—
454C22×C8—171no—
455C22×C8—171no—
456C22×C8C22×D1711yescharacteristic
457C22×C8C22×D1711yescharacteristic
458#117—41no—
459#117—41no—
460#117—681no—
461#117—681no—
462#117—681no—
463#117—681no—
464#117—681no—
465#117—681no—
466C2×C4⋊C4—171no—
467C2×C4⋊C4—171no—
468C2×C4⋊C4—171no—
469C2×C4⋊C4—171no—
470C2×C4⋊C4C22×D1711yescharacteristic
471C2×C4⋊C4C22×D1711yescharacteristic
472C2×C4⋊C4C22×D1711yescharacteristic
473C2×C4⋊C4C22×D1711yescharacteristic
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—341no—
477C2×C22⋊C4—341no—
478C2×C22⋊C4—341no—
479C2×C22⋊C4—341no—
480C2×C22⋊C4—341no—
481C2×C22⋊C4—341no—
482C2×C22⋊C4—341no—
483C2×C22⋊C4—341no—
484C2×C22⋊C4—341no—
485C2×C22⋊C4—341no—
486C2×C42—21no—
487C2×C42—341no—
488C2×C42—341no—
489C2×C42—341no—
490#107—41no—
491#107—681no—
492#107—681no—
493#107—681no—
494#106—41no—
495#106—681no—
496#106—681no—
497#106—681no—
498C22⋊C8—174no—
499C22⋊C8—174no—
500C22⋊C8—174no—
501C22⋊C8C4×D1714yes—
502#95—21no—
503#95—341no—
504#95—341no—
505#95—341no—
506#95—341no—
507#95—341no—
508#95—341no—
509#95—341no—
510C17#2194311yescharacteristic, complemented, Sylow
511C24—171no—
512C24—171no—
513C24—174no—
514C24—681no—
515C24—681no—
516C24—681no—
517C24—681no—
518C24—681no—
519C24—681no—
520C24D4×D1711yescharacteristic
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—171no—
530C22×C4—171no—
531C22×C4—174no—
532C22×C4—172no—
533C22×C4—172no—
534C22×C4—172no—
535C22×C4—172no—
536C22×C4—174no—
537C22×C4—174no—
538C22×C4—341no—
539C22×C4—341no—
540C22×C4—341no—
541C22×C4—341no—
542C22×C4—341no—
543C22×C4—341no—
544C22×C4—341no—
545C22×C4—341no—
546C22×C4—341no—
547C22×C4—341no—
548C22×C4—341no—
549C22×C4—341no—
550C22×C4—684no—
551C22×C4—684no—
552C22×C4—684no—
553C22×C4—684no—
554C22×C4—681no—
555C22×C4—681no—
556C22×C4—681no—
557C22×C4—681no—
558C22×C4—681no—
559C22×C4—681no—
560C22×C4C2×C4×D1712yes—
561C22×C4D4×D1711yescharacteristic
562C22×C4Q8×D1712yes—
563C22×C4C23×D1711yescharacteristic
564M16—684no—
565M16—684no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—172no—
571C2×C8—172no—
572C2×C8—341no—
573C2×C8—341no—
574C2×C8—341no—
575C2×C8—341no—
576C2×C8C2×C4×D1712yes—
577C2×C8C2×C4×D1712yes—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—341no—
587C4⋊C4—341no—
588C4⋊C4—341no—
589C4⋊C4—341no—
590C4⋊C4—341no—
591C4⋊C4—341no—
592C4⋊C4—341no—
593C4⋊C4—341no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—682no—
597C22⋊C4—682no—
598C22⋊C4—682no—
599C22⋊C4—682no—
600C22⋊C4—682no—
601C22⋊C4—682no—
602C22⋊C4—682no—
603C22⋊C4—682no—
604C22⋊C4—682no—
605C22⋊C4—682no—
606C42—42no—
607C42—682no—
608C42—682no—
609C42—682no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—172no—
617C23—172no—
618C23—341no—
619C23—341no—
620C23—341no—
621C23—341no—
622C23—341no—
623C23—341no—
624C23—341no—
625C23—341no—
626C23—341no—
627C23—341no—
628C23—341no—
629C23—341no—
630C23—684no—
631C23—684no—
632C23—684no—
633C23—684no—
634C23—684no—
635C23—684no—
636C23—684no—
637C23C4⋊C4×D1712yes—
638C23C2×D4×D1711yescharacteristic
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—172no—
658C2×C4—172no—
659C2×C4—341no—
660C2×C4—341no—
661C2×C4—341no—
662C2×C4—341no—
663C2×C4—342no—
664C2×C4—342no—
665C2×C4—342no—
666C2×C4—342no—
667C2×C4—342no—
668C2×C4—342no—
669C2×C4—342no—
670C2×C4—342no—
671C2×C4—684no—
672C2×C4—684no—
673C2×C4—684no—
674C2×C4—681no—
675C2×C4—681no—
676C2×C4—681no—
677C2×C4—681no—
678C2×C4—681no—
679C2×C4—681no—
680C2×C4—681no—
681C2×C4—681no—
682C2×C4—681no—
683C2×C4—681no—
684C2×C4—681no—
685C2×C4—681no—
686C2×C4C4⋊C4×D1712yes—
687C2×C4C22×C4×D1711yescharacteristic
688C2×C4#1058769111yescharacteristic
689C2×C4#1058769111yescharacteristic
690C2×C4C2×Q8×D1711yescharacteristic
691C2×C4#1058769611yescharacteristic
692C2×C4#1058769611yescharacteristic
693C8—22no—
694C8—22no—
695C8—342no—
696C8—342no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—342no—
705C22—342no—
706C22—342no—
707C22—342no—
708C22—342no—
709C22—342no—
710C22—6816no—
711C22—681no—
712C22—681no—
713C22—681no—
714C22—681no—
715C22—681no—
716C22—681no—
717C22—681no—
718C22—681no—
719C22C2×C4⋊C4×D1711yescharacteristic
720C22#1176336911yescharacteristic
721C22#1176337011yescharacteristic
722C22#1176360511yescharacteristic
723C22#1176360611yescharacteristic
724C22#1176360611yescharacteristic
725C22#1176360811yescharacteristic
726C4—22no—
727C4—81no—
728C4—81no—
729C4—81no—
730C4—81no—
731C4—342no—
732C4—342no—
733C4—1361no—
734C4—1361no—
735C4—1361no—
736C4—1361no—
737C4#1176328111yescharacteristic
738C4#1176328111yescharacteristic
739C4#1176343411yescharacteristic
740C4#1176343411yescharacteristic
741C2—42no—
742C2—682no—
743C2—682no—
744C2#1453139511yescharacteristic
745C2#1453737111yescharacteristic
746C2#1453737211yescharacteristic
747C2#1453962311yescharacteristic
748C2#1453962411yescharacteristic
749C2#1453962511yescharacteristic
750C2#1453962811yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1854C2
socleC23×C17C22×D4
prime radicalC24×D17D4
cosocleC22×C4×C17C24
hypercenter#1854D17
hypocenterC17#21943
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1854

Complements

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

NH ≅ G/Ntype
4. #14528986C2semidirect
5. #14528985C2semidirect
6. #14528984C2semidirect
7. #14528983C2semidirect
8. #14528982C2semidirect
9. #14528981C2semidirect
10. #14528980C2semidirect
11. #14528818C2semidirect
12. #14528816C2semidirect
13. #14528816C2semidirect
14. #14528814C2semidirect
15. C17×#1854C2semidirect
22. C2×#10587489C22semidirect
23. C2×#10587478C22semidirect
24. C2×#10587478C22semidirect
25. C2×#10587488C22semidirect
26. C2×#10587479C22semidirect
27. C2×#10587479C22semidirect
28. #11762771C4semidirect
47. #11762572C22semidirect
48. #11762572C22semidirect
49. #11762571C22semidirect
50. #11762571C22semidirect
51. #11762571C22semidirect
52. #11762571C22semidirect
54. C2×C17×#107C22semidirect
55. C2×C17×#106C22semidirect
58. C17×#340C22semidirect
59. C17×#340C22semidirect
332. #1854D17semidirect
391. C2×#107C2×D17semidirect
395. C2×#106C2×D17semidirect
423. #340C2×D17semidirect
424. #340C2×D17semidirect
510. C17#21943semidirect

Maximal subgroups

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

subgroupindex
C2×#117627712
#145311662
#145311632
#145289862
#145289852
#145289842
#145289832
#145289822
#145289812
#145289802
#145288182
#145288162
#145288142
C17×#18542
#2194317