Finite Group Databasebeta

← D17×#3522 #17942525

Subgroups — D17×#3522 #17942525

Order 4352.

7758 conjugacy classes of subgroups.

The subgroup lattice has 1378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542870C211yesmaximal, characteristic, complemented
2#14542869C211yesmaximal, characteristic, complemented
3#14542868C213yesmaximal, complemented
4#14542867C213yesmaximal, complemented
5#14542866C213yesmaximal, complemented
6#14542865C216yesmaximal, complemented
7#14542864C211yesmaximal, characteristic, complemented
8#14542863C212yesmaximal, complemented
9#14542862C216yesmaximal, complemented
10#14542861C213yesmaximal, complemented
11#14542860C212yesmaximal, complemented
12D17×#559C213yesmaximal, complemented
13Q82×D17C211yesmaximal, characteristic, complemented
14D17×#554C213yesmaximal, complemented
15D17×#550C211yesmaximal, characteristic, complemented
16D17×#548C212yesmaximal, complemented
17D17×#547C216yesmaximal, complemented
18D17×#542C216yesmaximal, complemented
19D17×#532C213yesmaximal, complemented
20D17×#529C213yesmaximal, complemented
21D17×#520C212yesmaximal, complemented
22C2×C4×Q8×D17C211yesmaximal, characteristic, complemented
23C17×#3522C211yesmaximal, characteristic, complemented
24C2×#41×D17C2212yes—
25C2×#41×D17C2216yes—
26C22×Q8×D17C2211yescharacteristic
27#11763545C2213yescomplemented
28#11763544C2213yescomplemented
29#11763544C2213yescomplemented
30#11763543C22112yescomplemented
31#11763542C2216yescomplemented
32#11763542C2216yescomplemented
33#11763541C2216yescomplemented
34#11763541C2216yescomplemented
35Q8×Dic34C2212yescomplemented
36Q8×Dic34C2211yescharacteristic, complemented
37Q8×Dic34C2213yescomplemented
38#11763539C2213yescomplemented
39#11763539C2216yescomplemented
40#11763520C2213yescomplemented
41#11763519C2213yescomplemented
42#11763518C2216yescomplemented
43#11763517C2216yescomplemented
44#11763516C2213yescomplemented
45#11763515C2216yescomplemented
46#11763514C2216yescomplemented
47#11763513C22112yescomplemented
48#11763481C2211yescharacteristic, complemented
49#11763480C2213yescomplemented
50#11763479C2213yescomplemented
51#11763478C2212yescomplemented
52#11763477C2216yescomplemented
53#11763471C2212yescomplemented
54#11763470C2212yescomplemented
55#11763469C2216yescomplemented
56#11763468C2216yescomplemented
57#11763467C2216yescomplemented
58#11763466C2212yescomplemented
59#11763465C2216yescomplemented
60#11763464C2216yescomplemented
61#11763463C2216yescomplemented
62#11763462C2216yescomplemented
63#11763461C22112yescomplemented
64#11763460C2216yescomplemented
65#11763460C2216yescomplemented
66#11763459C2216yescomplemented
67#11763459C2216yescomplemented
68#11763458C22112yescomplemented
69#11763457C22112yescomplemented
70#11763457C22112yescomplemented
71#11763433C2216yescomplemented
72#11763432C2216yescomplemented
73#11763431C2216yescomplemented
74#11763430C2216yescomplemented
75#11763429C22112yescomplemented
76#11763428C2216yescomplemented
77#11763427C22112yescomplemented
78#11763426C2216yescomplemented
79#11763425C22112yescomplemented
80#11763424C2216yescomplemented
81#11763423C22112yescomplemented
82#11763360C2213yescomplemented
83#11763359C2213yescomplemented
84#11763358C2216yescomplemented
85#11763357C2213yescomplemented
86#11763356C2216yescomplemented
87#11763356C2216yescomplemented
88#11763355C2216yescomplemented
89#11763354C2216yescomplemented
90#11763354C2216yescomplemented
91C4⋊Q8×D17C2216yes—
92C4⋊Q8×D17C2213yes—
93#127×D17C2213yes—
94#11763346C2213yescomplemented
95#11763345C2213yescomplemented
96#11763344C2213yescomplemented
97#11763343C2213yescomplemented
98#11763342C2216yescomplemented
99#11763341C2213yescomplemented
100#11763340C2213yescomplemented
101#11763339C2216yescomplemented
102#11763338C2213yescomplemented
103#11763337C2216yescomplemented
104#11763336C2216yescomplemented
105#126×D17C2216yes—
106#125×D17C2213yes—
107#124×D17C2213yes—
108#124×D17C2216yes—
109#124×D17C2216yes—
110#123×D17C22112yes—
111#123×D17C2216yes—
112C22⋊Q8×D17C22112yes—
113C22⋊Q8×D17C2216yes—
114C22⋊Q8×D17C2211yescharacteristic
115#121×D17C2216yes—
116#121×D17C2216yes—
117#121×D17C2213yes—
118#11763292C2212yescomplemented
119#11763291C2212yescomplemented
120#11763291C2212yescomplemented
121#11763290C2216yescomplemented
122#11763289C2216yescomplemented
123#11763288C2216yescomplemented
124#11763288C2216yescomplemented
125C2×Q8×Dic17C2211yescharacteristic, complemented
126C2×C4×Dic34C2213yescomplemented
127C2×#10587573C2213yescomplemented
128C4×Q8×D17C2213yes—
129C4×Q8×D17C2211yescharacteristic
130C4×Q8×D17C2212yes—
131C4×Q8×D17C2213yes—
132C4×Q8×D17C2213yes—
133C4×Q8×D17C2211yescharacteristic
134C4×Q8×D17C2211yescharacteristic, complemented
135C4×Q8×D17C2211yescharacteristic, complemented
136C4×Q8×D17C2213yescomplemented
137C4×Q8×D17C2213yescomplemented
138C4×D4×D17C2216yes—
139C4×D4×D17C2216yes—
140C4×D4×D17C2216yes—
141C4×D4×D17C2216yes—
142C4×D4×D17C2213yes—
143#117×D17C2216yes—
144C2×C4⋊C4×D17C2213yes—
145C2×C4⋊C4×D17C2216yes—
146C2×C42×D17C2213yes—
147C17×#559C2213yescomplemented
148Q82×C17C2211yescharacteristic, complemented
149C17×#554C2213yescomplemented
150C17×#550C2211yescharacteristic, complemented
151C17×#548C2212yescomplemented
152C17×#547C2216yescomplemented
153C17×#542C2216yescomplemented
154C17×#532C2213yescomplemented
155C17×#529C2213yescomplemented
156C17×#520C2212yescomplemented
157C2×C4×Q8×C17C2211yescharacteristic, complemented
158C2×#41×C17C2312yes—
159C2×#41×C17C2316yes—
160C22×Q8×C17C2311yescharacteristic
161#41×D17—216no—
162#41×D17—424no—
163C2×#63256C2312yes—
164C2×#63256C2316yes—
165C2×Q8×D17—28no—
166C2×Q8×D17C2311yescharacteristic
167C2×Q8×D17C2313yes—
168C2×Q8×D17C2311yescharacteristic
169C2×Q8×D17C2313yes—
170C2×Q8×D17C2316yes—
171C2×Q8×D17C2311yescharacteristic
172C2×#63254C2316yes—
173C2×#63254C2316yes—
174C2×#63254C23112yes—
175C2×D4×D17C2313yes—
176C2×D4×D17C2316yes—
177C2×D4×D17C2316yes—
178C2×D4×D17C2316yes—
179C2×#63252C2316yes—
180C2×#63252C2316yes—
181C2×#63252C23112yes—
182C22×C4×D17C2311yescharacteristic
183C22×C4×D17C2313yes—
184C22×C4×D17C2313yes—
185C22×C4×D17C2316yes—
186C22×C4×D17C23112yes—
187C22×Dic34C2313yes—
188C17×C4⋊Q8C2316yes—
189C17×C4⋊Q8C2313yes—
190C17×#127C2313yes—
191C17×#126C2316yes—
192C17×#125C2313yes—
193C17×#124C2316yes—
194C17×#124C2313yes—
195C17×#124C2316yes—
196C17×#123C2316yes—
197C17×#123C23112yes—
198C17×C22⋊Q8C23112yes—
199C17×C22⋊Q8C2316yes—
200C17×C22⋊Q8C2311yescharacteristic
201C17×#121C2316yes—
202C17×#121C2316yes—
203C17×#121C2313yes—
204C4×Q8×C17C2312yes—
205C4×Q8×C17C2311yescharacteristic
206C4×Q8×C17C2311yescharacteristic
207C4×Q8×C17C2313yes—
208C4×Q8×C17C2313yes—
209C4×Q8×C17C2313yes—
210C4×D4×C17C2316yes—
211C4×D4×C17C2316yes—
212C4×D4×C17C2313yes—
213C4×D4×C17C2316yes—
214C4×D4×C17C2316yes—
215C17×#117C2316yes—
216C2×C4⋊C4×C17C2313yes—
217C2×C4⋊C4×C17C2316yes—
218C2×C42×C17C2313yes—
219#10587633C2316yes—
220#10587633C2313yes—
221#10587633C2316yes—
222#10587632C23112yes—
223#10587632C2316yes—
224#10587632C2311yescharacteristic
225Q8×Dic17C2312yes—
226Q8×Dic17C2311yescharacteristic
227Q8×Dic17C2313yes—
228Q8×Dic17C2311yescharacteristic
229Q8×Dic17C2313yes—
230Q8×Dic17C2313yes—
231#10587630C23112yes—
232#10587630C2316yes—
233#10587626C2316yes—
234#10587626C2316yes—
235#10587626C2316yes—
236#10587625C23112yes—
237#10587625C23112yes—
238#10587625C2316yes—
239#10587624C2316yes—
240#10587624C2316yes—
241#10587624C2313yes—
242#10587622C2316yes—
243#10587622C2313yes—
244#10587622C2316yes—
245#10587621C2316yes—
246#10587621C23112yes—
247D4×Dic17C2316yes—
248D4×Dic17C2316yes—
249D4×Dic17C2313yes—
250D4×Dic17C2316yes—
251D4×Dic17C2316yes—
252#10587616C2316yes—
253#10587616C2316yes—
254#10587616C2313yes—
255#10587615C2316yes—
256#10587615C23112yes—
257C4×C22⋊D17C23112yes—
258C4×C22⋊D17C2316yes—
259C4×C22⋊D17C2316yes—
260C4×C22⋊D17C2316yes—
261C4×C22⋊D17C23112yes—
262C4×C22⋊D17C23112yes—
263#10587612C2316yes—
264C2×C4⋊Dic17C2313yes—
265C2×C4⋊Dic17C2316yes—
266#10587610C23112yes—
267#10587610C2316yes—
268#10587610C2311yescharacteristic
269C2×#63225C2316yes—
270C2×#63225C23112yes—
271C2×C4×Dic17C2313yes—
272C2×C4×Dic17C2313yes—
273C2×C4×Dic17C2313yes—
274#10587584C2316yes—
275#10587584C2316yes—
276#10587584C2316yes—
277#10587583C23112yes—
278#10587583C2316yes—
279#10587583C2311yescharacteristic
280#10587582C23112yes—
281#10587582C23112yes—
282#10587582C23112yes—
283#10587582C2312yes—
284#10587581C2316yes—
285#10587581C2316yes—
286#10587581C2313yes—
287#10587580C2316yes—
288#10587580C23112yes—
289#10587580C2316yes—
290#10587580C23112yes—
291#10587579C2316yes—
292#10587579C2316yes—
293#10587579C2313yes—
294#10587579C2316yes—
295#10587579C2316yes—
296#10587578C2316yes—
297#10587578C2316yes—
298C4⋊C4×D17C2316yes—
299C4⋊C4×D17C23112yes—
300C4⋊C4×D17C2313yes—
301C4⋊C4×D17C2316yes—
302C4⋊C4×D17C2313yes—
303C4⋊C4×D17C2316yes—
304C4⋊C4×D17C2313yes—
305C4⋊C4×D17C2316yes—
306C4⋊C4×D17C2316yes—
307C4⋊C4×D17C2313yes—
308C4⋊C4×D17C2316yes—
309C4⋊C4×D17C2312yes—
310C4⋊C4×D17C2311yescharacteristic
311C4⋊C4×D17C2313yes—
312C4⋊C4×D17C2316yes—
313C4⋊C4×D17C2316yes—
314#10587576C2313yes—
315#10587576C2313yes—
316#10587575C2316yes—
317#10587575C2316yes—
318#10587574C23112yes—
319#10587574C2316yes—
320#10587574C2316yes—
321#10587574C2316yes—
322#10587574C2316yes—
323#10587573C2316yes—
324#10587573C2313yes—
325#10587573C2316yes—
326#10587573C2313yes—
327#10587573C2313yes—
328#10587573C2313yes—
329#10587573C2316yes—
330#10587573C2313yes—
331#10587573C2316yes—
332#10587572C2316yes—
333#10587572C23112yes—
334#10587571C23112yes—
335#10587571C23112yes—
336#10587571C2316yes—
337#10587571C2316yes—
338#10587571C23112yes—
339#10587571C23112yes—
340#10587570C23112yes—
341#10587570C23112yes—
342#10587570C2316yes—
343#10587569C2316yes—
344#10587569C23112yes—
345#10587569C2316yes—
346#10587569C23112yes—
347#10587567C2316yes—
348#10587567C2316yes—
349#10587567C23112yes—
350#10587567C2316yes—
351#10587567C23112yes—
352#10587567C23112yes—
353C22⋊C4×D17C2316yes—
354C22⋊C4×D17C2316yes—
355C22⋊C4×D17C2312yes—
356C22⋊C4×D17C2316yes—
357C22⋊C4×D17C23112yes—
358C22⋊C4×D17C2316yes—
359#10587565C2316yes—
360#10587565C2316yes—
361#10587565C2316yes—
362#10587564C23112yes—
363#10587564C23112yes—
364#10587564C23112yes—
365#10587564C2312yes—
366#10587563C2316yes—
367#10587563C2316yes—
368#10587562C2316yes—
369#10587561C2316yes—
370#10587561C2313yes—
371#10587561C2316yes—
372#10587560C2313yes—
373C4×D68C2316yes—
374C4×D68C2316yes—
375C4×D68C2313yes—
376C4×D68C2316yes—
377C4×D68C2316yes—
378#10587558C2316yes—
379#10587558C2316yes—
380C42×D17C2313yes—
381C42×D17C2313yes—
382C42×D17C2313yes—
383C42×D17C2313yes—
384C42×D17C2313yes—
385C42×D17C2313yes—
386C42×D17C2313yes—
387C42×D17C2313yes—
388C42×D17C2316yes—
389#10587556C2313yes—
390#10587555C2316yes—
391#10587555C2313yes—
392C4×Dic34C2316yes—
393C4×Dic34C2313yes—
394C4×Dic34C2316yes—
395C4×Dic34C2313yes—
396C4×Dic34C2313yes—
397C4×Dic34C2316yes—
398C4×Dic34C2313yes—
399C4×Dic34C2316yes—
400C4×Dic34C2313yes—
401C23×D17C2416yes—
402C23×D17C2411yescharacteristic
403#41×C17—28no—
404#41×C17—412no—
405C2×Q8×C17—24no—
406C2×Q8×C17C2413yes—
407C2×Q8×C17C2411yescharacteristic
408C2×Q8×C17C2416yes—
409C2×Q8×C17C2411yescharacteristic
410C2×D4×C17C2416yes—
411C2×D4×C17C2413yes—
412C2×D4×C17C2416yes—
413C2×D4×C17C2416yes—
414C22×C4×C17C2416yes—
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2413yes—
417C22×C4×C17C2413yes—
418C22×C4×C17C24112yes—
419C2×C22⋊D17C2416yes—
420C2×C22⋊D17C2416yes—
421C2×C22⋊D17C24112yes—
422C2×C22⋊D17C2416yes—
423C2×C22⋊D17C24112yes—
424C22×Dic17C2413yes—
425C22×Dic17C2413yes—
426C22×Dic17C2416yes—
427C22×Dic17C2411yescharacteristic
428C22×Dic17C24112yes—
429#63256—28no—
430#63256—412no—
431Q8×D17—24no—
432Q8×D17—212no—
433Q8×D17—24no—
434Q8×D17—212no—
435Q8×D17—412no—
436Q8×D17#4118yescomplemented
437#63254—224no—
438#63254—412no—
439#63254—424no—
440D4×D17—224no—
441D4×D17—224no—
442D4×D17—212no—
443D4×D17—412no—
444#63252—224no—
445#63252—424no—
446#63252—412no—
447C2×D68C2416yes—
448C2×D68C2416yes—
449C2×D68C2413yes—
450C2×D68C2416yes—
451C2×C4×D17—212no—
452C2×C4×D17—212no—
453C2×C4×D17—224no—
454C2×C4×D17—24no—
455C2×C4×D17—424no—
456C2×C4×D17C2413yes—
457C2×C4×D17C2412yes—
458C2×C4×D17C2416yes—
459C2×C4×D17C2413yes—
460C2×C4×D17C2416yes—
461C2×C4×D17C2413yes—
462C2×C4×D17C2413yes—
463C2×C4×D17C2416yes—
464C2×C4×D17C2413yes—
465C2×C4×D17C2413yes—
466C2×C4×D17C2413yes—
467C2×C4×D17C2411yescharacteristic
468C2×C4×D17C2411yescharacteristic
469C2×C4×D17C2411yescharacteristic
470C2×C4×D17C2412yes—
471C2×C4×D17C24112yes—
472C2×C4×D17C24112yes—
473C2×C4×D17C2413yes—
474C2×C4×D17C2411yescharacteristic
475C2×Dic34—212no—
476C2×Dic34C2413yes—
477C2×Dic34C2416yes—
478C2×Dic34C2411yescharacteristic
479C2×Dic34C2412yes—
480C2×Dic34C2416yes—
481C2×Dic34C24112yes—
482C2×Dic34C2413yes—
483C4⋊C4×C17C2416yes—
484C4⋊C4×C17C2416yes—
485C4⋊C4×C17C2416yes—
486C4⋊C4×C17C2411yescharacteristic
487C4⋊C4×C17C2412yes—
488C4⋊C4×C17C2416yes—
489C4⋊C4×C17C2416yes—
490C4⋊C4×C17C2413yes—
491C4⋊C4×C17C2413yes—
492C4⋊C4×C17C2413yes—
493C22⋊C4×C17C24112yes—
494C22⋊C4×C17C2416yes—
495C22⋊C4×C17C2412yes—
496C22⋊C4×C17C2416yes—
497C22⋊C4×C17C2416yes—
498C22⋊C4×C17C2416yes—
499C42×C17C2413yes—
500C42×C17C2413yes—
501C42×C17C2416yes—
502C42×C17C2413yes—
503C42×C17C2413yes—
504C22⋊Dic17C2416yes—
505C22⋊Dic17C2416yes—
506C22⋊Dic17C2416yes—
507C22⋊Dic17C24112yes—
508C22⋊Dic17C2412yes—
509C22⋊Dic17C2416yes—
510#63227C2416yes—
511#63227C2416yes—
512#63227C2416yes—
513#63227C2416yes—
514#63227C2412yes—
515#63227C2416yes—
516#63227C24112yes—
517#63227C2416yes—
518#63227C2416yes—
519#63227C24112yes—
520#63227C2412yes—
521#63227C2416yes—
522C4⋊Dic17C2413yes—
523C4⋊Dic17C2413yes—
524C4⋊Dic17C2416yes—
525C4⋊Dic17C2413yes—
526C4⋊Dic17C2416yes—
527C4⋊Dic17C2416yes—
528C4⋊Dic17C2411yescharacteristic
529C4⋊Dic17C2416yes—
530C4⋊Dic17C2416yes—
531C4⋊Dic17C2412yes—
532#63225C2416yes—
533#63225C2416yes—
534#63225C2416yes—
535#63225C2416yes—
536#63225C2416yes—
537#63225C24112yes—
538#63225C2416yes—
539#63225C2416yes—
540#63225C2416yes—
541#63225C2416yes—
542#63225C2412yes—
543#63225C2412yes—
544#63225C2416yes—
545#63225C2416yes—
546#63225C2412yes—
547C4×Dic17C2413yes—
548C4×Dic17C2413yes—
549C4×Dic17C2413yes—
550C4×Dic17C2413yes—
551C4×Dic17C2413yes—
552C4×Dic17C2416yes—
553C4×Dic17C2416yes—
554C4×Dic17C2413yes—
555C4×Dic17C2413yes—
556C4×Dic17C2413yes—
557C4×Dic17C2413yes—
558C4×Dic17C2413yes—
559C4×Dic17C2413yes—
560C4×Dic17C2413yes—
561C4×Dic17C2416yes—
562C2×#3522—171nomaximal, Sylow
563C23×C17C2516yes—
564C23×C17C2511yescharacteristic
565C22×D17—22no—
566C22×D17—22no—
567C22×D17—212no—
568C22×D17—212no—
569C22×D17—212no—
570C22×D17H(5,𝔽2)14yes—
571C22×D17C2516yes—
572C22×D17C2511yescharacteristic
573C22×D17C2511yescharacteristic
574Q8×C17—26no—
575Q8×C17—22no—
576Q8×C17—46no—
577Q8×C17C2×#4114yescomplemented
578D4×C17—212no—
579D4×C17—212no—
580D4×C17—26no—
581D4×C17—46no—
582C2×C4×C17—26no—
583C2×C4×C17—26no—
584C2×C4×C17—212no—
585C2×C4×C17—22no—
586C2×C4×C17—412no—
587C2×C4×C17C2511yescharacteristic
588C2×C4×C17C2512yes—
589C2×C4×C17C2513yes—
590C2×C4×C17C2513yes—
591C2×C4×C17C2513yes—
592C2×C4×C17C2516yes—
593C2×C4×C17C2512yes—
594C2×C4×C17C2513yes—
595C2×C4×C17C2511yescharacteristic
596C22⋊D17—212no—
597C22⋊D17—212no—
598C22⋊D17—224no—
599C22⋊D17—212no—
600C22⋊D17—412no—
601C2×Dic17—26no—
602C2×Dic17—26no—
603C2×Dic17—212no—
604C2×Dic17—22no—
605C2×Dic17—412no—
606C2×Dic17C2512yes—
607C2×Dic17C2513yes—
608C2×Dic17C2511yescharacteristic
609C2×Dic17C2512yes—
610C2×Dic17C2516yes—
611C2×Dic17C2513yes—
612C2×Dic17C2513yes—
613C2×Dic17C2513yes—
614C2×Dic17C2511yescharacteristic
615D68—212no—
616D68—212no—
617D68—26no—
618D68—46no—
619C4×D17—24no—
620C4×D17—26no—
621C4×D17—26no—
622C4×D17—26no—
623C4×D17—26no—
624C4×D17—26no—
625C4×D17—212no—
626C4×D17—22no—
627C4×D17—24no—
628C4×D17—212no—
629C4×D17—26no—
630C4×D17—22no—
631C4×D17—212no—
632C4×D17—26no—
633C4×D17—22no—
634C4×D17—412no—
635C4×D17—412no—
636C4×D17C2×#41112yes—
637C4×D172−1+414yes—
638Dic34—26no—
639Dic34—22no—
640Dic34—212no—
641Dic34—24no—
642Dic34—412no—
643Dic34—46no—
644Dic34C2×#41112yescomplemented
645#3522—173no—
646#3522—171no—
647#3522—173no—
648#3522—171no—
649#3522—172no—
650#3522—176no—
651#3522—176no—
652#3522—173no—
653#3522—173no—
654#3522—172no—
655#3522—171no—
656#3522D1711yescharacteristic, direct product factor
657C2×#559—173no—
658C2×Q82—171no—
659C2×#554—173no—
660C2×#550—171no—
661C2×#548—172no—
662C2×#547—176no—
663C2×#542—176no—
664C2×#532—173no—
665C2×#529—173no—
666C2×#520—172no—
667C22×C4×Q8—171no—
668C22×C17—21no—
669C22×C17—21no—
670C22×C17—26no—
671C22×C17—26no—
672C22×C17—26no—
673C22×C17C2×H(5,𝔽2)12yes—
674C22×C17C2611yescharacteristic
675C2×D17—21no—
676C2×D17—21no—
677C2×D17—28no—
678C2×D17—26no—
679C2×D17—26no—
680C2×D17—26no—
681C2×D17—424no—
682C2×D17C22×#4112yes—
683C2×D17C2×H(5,𝔽2)12yes—
684C2×D17C2×H(5,𝔽2)12yes—
685C2×D17C2×2−1+412yes—
686C4×C17—23no—
687C4×C17—22no—
688C4×C17—23no—
689C4×C17—26no—
690C4×C17—23no—
691C4×C17—22no—
692C4×C17—21no—
693C4×C17C22×#4116yes—
694C4×C17C2×2−1+412yes—
695Dic17—23no—
696Dic17—22no—
697Dic17—23no—
698Dic17—26no—
699Dic17—23no—
700Dic17—22no—
701Dic17—21no—
702Dic17C22×#4116yes—
703Dic17C2×2−1+412yes—
704C22×#41—172no—
705C22×#41—176no—
706C23×Q8—171no—
707#559—173no—
708#559—176no—
709#559—176no—
710#559—1712no—
711#559—173no—
712#559—173no—
713#559—176no—
714#559—176no—
715#559C2×D1713yescomplemented
716Q82—176no—
717Q82—173no—
718Q82—172no—
719Q82—171no—
720Q82—173no—
721Q82C2×D1711yescharacteristic, complemented
722#554—173no—
723#554—176no—
724#554—1712no—
725#554—176no—
726#554—173no—
727#554—173no—
728#554—176no—
729#554—176no—
730#554C2×D1713yescomplemented
731#550—172no—
732#550—173no—
733#550—176no—
734#550—171no—
735#550—173no—
736#550C2×D1711yescharacteristic, complemented
737#548—172no—
738#548—172no—
739#548—176no—
740#548—176no—
741#548—176no—
742#548—172no—
743#548—176no—
744#548C2×D1712yescomplemented
745#547—1712no—
746#547—176no—
747#547—1712no—
748#547—1712no—
749#547—1712no—
750#547—176no—
751#547—176no—
752#547—176no—
753#547—176no—
754#547—176no—
755#547—176no—
756#547C2×D1716yescomplemented
757#542—176no—
758#542—1712no—
759#542—1712no—
760#542—176no—
761#542—1712no—
762#542—1712no—
763#542—176no—
764#542—176no—
765#542—176no—
766#542—176no—
767#542—176no—
768#542C2×D1716yescomplemented
769#532—176no—
770#532—173no—
771#532—173no—
772#532—176no—
773#532—176no—
774#532—176no—
775#532—176no—
776#532—176no—
777#532—173no—
778#532C2×D1713yescomplemented
779C2×C4⋊Q8—173no—
780C2×C4⋊Q8—176no—
781C2×#127—173no—
782#529—176no—
783#529—173no—
784#529—173no—
785#529—176no—
786#529—173no—
787#529—173no—
788#529—173no—
789#529—176no—
790#529—173no—
791#529—176no—
792#529—173no—
793#529C2×D1713yescomplemented
794C2×#126—176no—
795C2×#125—173no—
796C2×#124—173no—
797C2×#124—176no—
798C2×#124—176no—
799C2×#123—176no—
800C2×#123—1712no—
801C2×C22⋊Q8—171no—
802C2×C22⋊Q8—1712no—
803C2×C22⋊Q8—176no—
804C2×#121—173no—
805C2×#121—176no—
806C2×#121—176no—
807#520—172no—
808#520—172no—
809#520—172no—
810#520—176no—
811#520—176no—
812#520—176no—
813#520—176no—
814#520C2×D1712yescomplemented
815C2×C4×Q8—171no—
816C2×C4×Q8—171no—
817C2×C4×Q8—173no—
818C2×C4×Q8—171no—
819C2×C4×Q8—173no—
820C2×C4×Q8—172no—
821C2×C4×Q8—173no—
822C2×C4×Q8—171no—
823C2×C4×Q8—173no—
824C2×C4×Q8—171no—
825C2×C4×Q8—173no—
826C2×C4×Q8—173no—
827C2×C4×Q8—173no—
828C2×C4×Q8C2×D1711yescharacteristic, complemented
829C2×C4×D4—176no—
830C2×C4×D4—176no—
831C2×C4×D4—176no—
832C2×C4×D4—173no—
833C2×C4×D4—176no—
834C2×#117—176no—
835C22×C4⋊C4—173no—
836C22×C4⋊C4—176no—
837C22×C42—173no—
838C2×C17—22no—
839C2×C17—46no—
840C2×C17C23×#4111yescharacteristic
841C2×C17C22×H(5,𝔽2)11yescharacteristic
842C2×C17C22×2−1+411yescharacteristic
843D17—22no—
844D17—46no—
845D17#352214yesdirect product factor
846C2×#41—172no—
847C2×#41—176no—
848C2×#41—176no—
849C2×#41—1712no—
850C2×#41—176no—
851C2×#41—176no—
852C2×#41—1712no—
853C2×#41—176no—
854C2×#41—3416no—
855C2×#41—6824no—
856C2×#41C22×D1712yes—
857C2×#41C22×D1716yes—
858C22×Q8—171no—
859C22×Q8—171no—
860C22×Q8—173no—
861C22×Q8—173no—
862C22×Q8—171no—
863C22×Q8—176no—
864C22×Q8—173no—
865C22×Q8—348no—
866C22×Q8C22×D1711yescharacteristic
867C22×D4—173no—
868C22×D4—176no—
869C22×D4—176no—
870C22×D4—176no—
871C23×C4—173no—
872C23×C4—176no—
873C23×C4—173no—
874C23×C4—171no—
875C23×C4—1712no—
876C4⋊Q8—176no—
877C4⋊Q8—1712no—
878C4⋊Q8—176no—
879C4⋊Q8—176no—
880C4⋊Q8—1712no—
881C4⋊Q8—176no—
882C4⋊Q8—176no—
883C4⋊Q8—173no—
884C4⋊Q8—176no—
885C4⋊Q8C22×D1713yes—
886C4⋊Q8C22×D1716yes—
887#127—176no—
888#127—176no—
889#127—176no—
890#127—173no—
891#127C22×D1713yes—
892#126—176no—
893#126—176no—
894#126—176no—
895#126—176no—
896#126—176no—
897#126—176no—
898#126—176no—
899#126C22×D1716yes—
900#125—176no—
901#125—176no—
902#125—173no—
903#125—173no—
904#125—173no—
905#125C22×D1713yes—
906#124—173no—
907#124—176no—
908#124—176no—
909#124—173no—
910#124—176no—
911#124—176no—
912#124—176no—
913#124—176no—
914#124—1712no—
915#124—1712no—
916#124—1712no—
917#124—1712no—
918#124—173no—
919#124—176no—
920#124—176no—
921#124C22×D1713yes—
922#124C22×D1716yes—
923#124C22×D1716yes—
924#123—176no—
925#123—1712no—
926#123—176no—
927#123—1712no—
928#123—176no—
929#123—176no—
930#123—1712no—
931#123—1712no—
932#123—176no—
933#123—176no—
934#123—176no—
935#123—1712no—
936#123—1712no—
937#123—1712no—
938#123C22×D1716yes—
939#123C22×D17112yes—
940C22⋊Q8—171no—
941C22⋊Q8—1712no—
942C22⋊Q8—176no—
943C22⋊Q8—171no—
944C22⋊Q8—1712no—
945C22⋊Q8—176no—
946C22⋊Q8—172no—
947C22⋊Q8—171no—
948C22⋊Q8—1712no—
949C22⋊Q8—1712no—
950C22⋊Q8—1712no—
951C22⋊Q8—1712no—
952C22⋊Q8—176no—
953C22⋊Q8—172no—
954C22⋊Q8—1712no—
955C22⋊Q8—1712no—
956C22⋊Q8—1712no—
957C22⋊Q8C22×D1711yescharacteristic
958C22⋊Q8C22×D17112yes—
959C22⋊Q8C22×D1716yes—
960#121—173no—
961#121—176no—
962#121—176no—
963#121—1712no—
964#121—176no—
965#121—1712no—
966#121—173no—
967#121—176no—
968#121—176no—
969#121—173no—
970#121—176no—
971#121—176no—
972#121—176no—
973#121—1712no—
974#121—1712no—
975#121C22×D1713yes—
976#121C22×D1716yes—
977#121C22×D1716yes—
978C4×Q8—171no—
979C4×Q8—173no—
980C4×Q8—171no—
981C4×Q8—173no—
982C4×Q8—172no—
983C4×Q8—173no—
984C4×Q8—173no—
985C4×Q8—176no—
986C4×Q8—173no—
987C4×Q8—173no—
988C4×Q8—176no—
989C4×Q8—173no—
990C4×Q8—176no—
991C4×Q8—176no—
992C4×Q8—173no—
993C4×Q8—173no—
994C4×Q8—176no—
995C4×Q8—173no—
996C4×Q8—173no—
997C4×Q8—173no—
998C4×Q8—176no—
999C4×Q8—176no—
1000C4×Q8—176no—
1001C4×Q8—173no—
1002C4×Q8C22×D1711yescharacteristic
1003C4×Q8C22×D1713yes—
1004C4×Q8C22×D1711yescharacteristic
1005C4×Q8C22×D1713yes—
1006C4×Q8C22×D1712yes—
1007C4×Q8C22×D1713yes—
1008C4×D4—176no—
1009C4×D4—176no—
1010C4×D4—176no—
1011C4×D4—173no—
1012C4×D4—176no—
1013C4×D4—1712no—
1014C4×D4—1712no—
1015C4×D4—176no—
1016C4×D4—176no—
1017C4×D4—176no—
1018C4×D4—1712no—
1019C4×D4—176no—
1020C4×D4—176no—
1021C4×D4—176no—
1022C4×D4—173no—
1023C4×D4—176no—
1024C4×D4—1712no—
1025C4×D4—1712no—
1026C4×D4—176no—
1027C4×D4—176no—
1028C4×D4—176no—
1029C4×D4—1712no—
1030C4×D4—176no—
1031C4×D4—176no—
1032C4×D4—176no—
1033C4×D4—173no—
1034C4×D4—176no—
1035C4×D4C22×D1716yes—
1036C4×D4C22×D1716yes—
1037C4×D4C22×D1716yes—
1038C4×D4C22×D1713yes—
1039C4×D4C22×D1716yes—
1040#117—176no—
1041#117—176no—
1042#117—176no—
1043#117—176no—
1044#117—176no—
1045#117—176no—
1046#117—176no—
1047#117C22×D1716yes—
1048C2×C4⋊C4—176no—
1049C2×C4⋊C4—173no—
1050C2×C4⋊C4—1712no—
1051C2×C4⋊C4—176no—
1052C2×C4⋊C4—173no—
1053C2×C4⋊C4—176no—
1054C2×C4⋊C4—176no—
1055C2×C4⋊C4—173no—
1056C2×C4⋊C4—176no—
1057C2×C4⋊C4—176no—
1058C2×C4⋊C4—173no—
1059C2×C4⋊C4—173no—
1060C2×C4⋊C4—1712no—
1061C2×C4⋊C4—176no—
1062C2×C4⋊C4—176no—
1063C2×C4⋊C4—172no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—173no—
1066C2×C4⋊C4—176no—
1067C2×C4⋊C4—176no—
1068C2×C4⋊C4C22×D1713yes—
1069C2×C4⋊C4C22×D1716yes—
1070C2×C22⋊C4—176no—
1071C2×C22⋊C4—176no—
1072C2×C22⋊C4—172no—
1073C2×C22⋊C4—176no—
1074C2×C22⋊C4—1712no—
1075C2×C22⋊C4—176no—
1076C2×C42—173no—
1077C2×C42—173no—
1078C2×C42—173no—
1079C2×C42—173no—
1080C2×C42—176no—
1081C2×C42—173no—
1082C2×C42—173no—
1083C2×C42—173no—
1084C2×C42—173no—
1085C2×C42—173no—
1086C2×C42—173no—
1087C2×C42—173no—
1088C2×C42C22×D1713yes—
1089C17C2×#352211yescharacteristic, complemented, Sylow
1090C24—171no—
1091C24—176no—
1092#41—28no—
1093#41—412no—
1094#41—3424no—
1095#41—3424no—
1096#41—348no—
1097#41—6812no—
1098#41—6824no—
1099#41—6824no—
1100#41—6812no—
1101#41—6812no—
1102C2×Q8—24no—
1103C2×Q8—178no—
1104C2×Q8—173no—
1105C2×Q8—172no—
1106C2×Q8—171no—
1107C2×Q8—176no—
1108C2×Q8—173no—
1109C2×Q8—1712no—
1110C2×Q8—176no—
1111C2×Q8—3412no—
1112C2×Q8—344no—
1113C2×Q8—3412no—
1114C2×Q8—3412no—
1115C2×Q8—344no—
1116C2×Q8—6812no—
1117C2×Q8C23×D1711yescharacteristic
1118C2×Q8C23×D1713yes—
1119C2×Q8C23×D1716yes—
1120C2×Q8C23×D1711yescharacteristic
1121C2×D4—176no—
1122C2×D4—1712no—
1123C2×D4—176no—
1124C2×D4—176no—
1125C2×D4—1712no—
1126C2×D4—173no—
1127C2×D4—176no—
1128C2×D4—176no—
1129C2×D4—176no—
1130C2×D4—3412no—
1131C2×D4—3424no—
1132C2×D4—3424no—
1133C2×D4—6812no—
1134C2×D4C23×D1713yes—
1135C2×D4C23×D1716yes—
1136C2×D4C23×D1716yes—
1137C2×D4C23×D1716yes—
1138C22×C4—171no—
1139C22×C4—173no—
1140C22×C4—171no—
1141C22×C4—173no—
1142C22×C4—173no—
1143C22×C4—176no—
1144C22×C4—1712no—
1145C22×C4—171no—
1146C22×C4—171no—
1147C22×C4—171no—
1148C22×C4—172no—
1149C22×C4—173no—
1150C22×C4—173no—
1151C22×C4—173no—
1152C22×C4—173no—
1153C22×C4—173no—
1154C22×C4—173no—
1155C22×C4—173no—
1156C22×C4—176no—
1157C22×C4—172no—
1158C22×C4—176no—
1159C22×C4—176no—
1160C22×C4—1712no—
1161C22×C4—1712no—
1162C22×C4—344no—
1163C22×C4—3412no—
1164C22×C4—3424no—
1165C22×C4—3412no—
1166C22×C4—6824no—
1167C22×C4C23×D1711yescharacteristic
1168C22×C4C23×D1713yes—
1169C22×C4C23×D1713yes—
1170C22×C4C23×D1716yes—
1171C22×C4C23×D17112yes—
1172C4⋊C4—176no—
1173C4⋊C4—173no—
1174C4⋊C4—176no—
1175C4⋊C4—176no—
1176C4⋊C4—176no—
1177C4⋊C4—1712no—
1178C4⋊C4—176no—
1179C4⋊C4—176no—
1180C4⋊C4—173no—
1181C4⋊C4—176no—
1182C4⋊C4—176no—
1183C4⋊C4—176no—
1184C4⋊C4—172no—
1185C4⋊C4—172no—
1186C4⋊C4—172no—
1187C4⋊C4—172no—
1188C4⋊C4—171no—
1189C4⋊C4—176no—
1190C4⋊C4—173no—
1191C4⋊C4—176no—
1192C4⋊C4—176no—
1193C4⋊C4—176no—
1194C4⋊C4—176no—
1195C4⋊C4—176no—
1196C4⋊C4—176no—
1197C4⋊C4C23×D1713yes—
1198C4⋊C4C23×D1716yes—
1199C4⋊C4C23×D1716yes—
1200C4⋊C4C23×D1713yes—
1201C4⋊C4C23×D1716yes—
1202C4⋊C4C23×D1712yes—
1203C4⋊C4C23×D1711yescharacteristic
1204C4⋊C4C23×D1713yes—
1205C4⋊C4C23×D1716yes—
1206C4⋊C4C23×D1716yes—
1207C22⋊C4—176no—
1208C22⋊C4—176no—
1209C22⋊C4—172no—
1210C22⋊C4—176no—
1211C22⋊C4—1712no—
1212C22⋊C4—176no—
1213C22⋊C4—176no—
1214C22⋊C4—176no—
1215C22⋊C4—176no—
1216C22⋊C4—176no—
1217C22⋊C4—172no—
1218C22⋊C4—172no—
1219C22⋊C4—176no—
1220C22⋊C4—176no—
1221C22⋊C4—1712no—
1222C22⋊C4—1712no—
1223C22⋊C4—176no—
1224C22⋊C4—176no—
1225C22⋊C4C23×D1716yes—
1226C22⋊C4C23×D1716yes—
1227C22⋊C4C23×D1712yes—
1228C22⋊C4C23×D1716yes—
1229C22⋊C4C23×D17112yes—
1230C22⋊C4C23×D1716yes—
1231C42—173no—
1232C42—173no—
1233C42—173no—
1234C42—173no—
1235C42—173no—
1236C42—173no—
1237C42—173no—
1238C42—173no—
1239C42—173no—
1240C42—173no—
1241C42—173no—
1242C42—173no—
1243C42—176no—
1244C42—176no—
1245C42—176no—
1246C42C23×D1713yes—
1247C42C23×D1713yes—
1248C42C23×D1713yes—
1249C42C23×D1713yes—
1250C42C23×D1716yes—
1251C23—171no—
1252C23—174no—
1253C23—171no—
1254C23—176no—
1255C23—342no—
1256C23—342no—
1257C23—3412no—
1258C23—3412no—
1259C23—3412no—
1260C23C24×D1716yes—
1261C23C24×D1711yescharacteristic
1262Q8—26no—
1263Q8—22no—
1264Q8—46no—
1265Q8—1712no—
1266Q8—3412no—
1267Q8—344no—
1268Q8—346no—
1269Q8—342no—
1270Q8—686no—
1271Q8—6812no—
1272Q8#41×D1714yescomplemented
1273D4—212no—
1274D4—212no—
1275D4—26no—
1276D4—46no—
1277D4—3412no—
1278D4—3424no—
1279D4—3412no—
1280D4—3412no—
1281D4—3412no—
1282D4—3412no—
1283D4—346no—
1284D4—686no—
1285D4—6812no—
1286C2×C4—26no—
1287C2×C4—26no—
1288C2×C4—212no—
1289C2×C4—22no—
1290C2×C4—412no—
1291C2×C4—171no—
1292C2×C4—173no—
1293C2×C4—1712no—
1294C2×C4—174no—
1295C2×C4—171no—
1296C2×C4—172no—
1297C2×C4—173no—
1298C2×C4—173no—
1299C2×C4—173no—
1300C2×C4—176no—
1301C2×C4—172no—
1302C2×C4—346no—
1303C2×C4—3412no—
1304C2×C4—342no—
1305C2×C4—344no—
1306C2×C4—346no—
1307C2×C4—346no—
1308C2×C4—346no—
1309C2×C4—346no—
1310C2×C4—346no—
1311C2×C4—342no—
1312C2×C4—3412no—
1313C2×C4—344no—
1314C2×C4—346no—
1315C2×C4—3412no—
1316C2×C4—342no—
1317C2×C4—346no—
1318C2×C4—346no—
1319C2×C4—3412no—
1320C2×C4—342no—
1321C2×C4—6812no—
1322C2×C4—6812no—
1323C2×C4—6812no—
1324C2×C4C24×D1711yescharacteristic
1325C2×C4C24×D1712yes—
1326C2×C4C24×D1713yes—
1327C2×C4C24×D1713yes—
1328C2×C4C24×D1713yes—
1329C2×C4C24×D1716yes—
1330C2×C4C24×D1712yes—
1331C2×C4C24×D1713yes—
1332C2×C4C24×D1711yescharacteristic
1333C22—21no—
1334C22—21no—
1335C22—26no—
1336C22—26no—
1337C22—26no—
1338C22—172no—
1339C22—172no—
1340C22—172no—
1341C22—172no—
1342C22—348no—
1343C22—341no—
1344C22—341no—
1345C22—346no—
1346C22—346no—
1347C22—346no—
1348C22—6824no—
1349C22H(5,𝔽2)×D1712yes—
1350C22C25×D1711yescharacteristic
1351C4—22no—
1352C4—23no—
1353C4—23no—
1354C4—23no—
1355C4—26no—
1356C4—21no—
1357C4—22no—
1358C4—176no—
1359C4—172no—
1360C4—342no—
1361C4—343no—
1362C4—343no—
1363C4—343no—
1364C4—346no—
1365C4—341no—
1366C4—342no—
1367C4C2×#41×D1716yes—
1368C42−1+4×D1712yes—
1369C2—22no—
1370C2—46no—
1371C2—174no—
1372C2—342no—
1373C2—686no—
1374C2C22×#41×D1711yescharacteristic
1375C2C2×H(5,𝔽2)×D1711yescharacteristic
1376C2C2×2−1+4×D1711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3522C2
hypercenter#3522D17
hypocenterC17C2×#3522
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #14542870C2semidirect
2. #14542869C2semidirect
3. #14542868C2semidirect
4. #14542867C2semidirect
5. #14542866C2semidirect
6. #14542865C2semidirect
7. #14542864C2semidirect
8. #14542863C2semidirect
9. #14542862C2semidirect
10. #14542861C2semidirect
11. #14542860C2semidirect
12. D17×#559C2semidirect
13. Q82×D17C2semidirect
14. D17×#554C2semidirect
15. D17×#550C2semidirect
16. D17×#548C2semidirect
17. D17×#547C2semidirect
18. D17×#542C2semidirect
19. D17×#532C2semidirect
20. D17×#529C2semidirect
21. D17×#520C2semidirect
22. C2×C4×Q8×D17C2semidirect
23. C17×#3522C2semidirect
27. #11763545C22semidirect
28. #11763544C22semidirect
29. #11763544C22semidirect
30. #11763543C22semidirect
31. #11763542C22semidirect
32. #11763542C22semidirect
33. #11763541C22semidirect
34. #11763541C22semidirect
35. Q8×Dic34C22semidirect
36. Q8×Dic34C22semidirect
37. Q8×Dic34C22semidirect
38. #11763539C22semidirect
39. #11763539C22semidirect
40. #11763520C22semidirect
41. #11763519C22semidirect
42. #11763518C22semidirect
43. #11763517C22semidirect
44. #11763516C22semidirect
45. #11763515C22semidirect
46. #11763514C22semidirect
47. #11763513C22semidirect
48. #11763481C22semidirect
49. #11763480C22semidirect
50. #11763479C22semidirect
51. #11763478C22semidirect
52. #11763477C22semidirect
53. #11763471C22semidirect
54. #11763470C22semidirect
55. #11763469C22semidirect
56. #11763468C22semidirect
57. #11763467C22semidirect
58. #11763466C22semidirect
59. #11763465C22semidirect
60. #11763464C22semidirect
61. #11763463C22semidirect
62. #11763462C22semidirect
63. #11763461C22semidirect
64. #11763460C22semidirect
65. #11763460C22semidirect
66. #11763459C22semidirect
67. #11763459C22semidirect
68. #11763458C22semidirect
69. #11763457C22semidirect
70. #11763457C22semidirect
71. #11763433C22semidirect
72. #11763432C22semidirect
73. #11763431C22semidirect
74. #11763430C22semidirect
75. #11763429C22semidirect
76. #11763428C22semidirect
77. #11763427C22semidirect
78. #11763426C22semidirect
79. #11763425C22semidirect
80. #11763424C22semidirect
81. #11763423C22semidirect
82. #11763360C22semidirect
83. #11763359C22semidirect
84. #11763358C22semidirect
85. #11763357C22semidirect
86. #11763356C22semidirect
87. #11763356C22semidirect
88. #11763355C22semidirect
89. #11763354C22semidirect
90. #11763354C22semidirect
94. #11763346C22semidirect
95. #11763345C22semidirect
96. #11763344C22semidirect
97. #11763343C22semidirect
98. #11763342C22semidirect
99. #11763341C22semidirect
100. #11763340C22semidirect
101. #11763339C22semidirect
102. #11763338C22semidirect
103. #11763337C22semidirect
104. #11763336C22semidirect
118. #11763292C22semidirect
119. #11763291C22semidirect
120. #11763291C22semidirect
121. #11763290C22semidirect
122. #11763289C22semidirect
123. #11763288C22semidirect
124. #11763288C22semidirect
125. C2×Q8×Dic17C22semidirect
126. C2×C4×Dic34C22semidirect
127. C2×#10587573C22semidirect
134. C4×Q8×D17C22semidirect
135. C4×Q8×D17C22semidirect
136. C4×Q8×D17C22semidirect
137. C4×Q8×D17C22semidirect
147. C17×#559C22semidirect
148. Q82×C17C22semidirect
149. C17×#554C22semidirect
150. C17×#550C22semidirect
151. C17×#548C22semidirect
152. C17×#547C22semidirect
153. C17×#542C22semidirect
154. C17×#532C22semidirect
155. C17×#529C22semidirect
156. C17×#520C22semidirect
157. C2×C4×Q8×C17C22semidirect
436. Q8×D17#41semidirect
577. Q8×C17C2×#41semidirect
644. Dic34C2×#41semidirect
656. #3522D17direct (N × H)
715. #559C2×D17semidirect
721. Q82C2×D17semidirect
730. #554C2×D17semidirect
736. #550C2×D17semidirect
744. #548C2×D17semidirect
756. #547C2×D17semidirect
768. #542C2×D17semidirect
778. #532C2×D17semidirect
793. #529C2×D17semidirect
814. #520C2×D17semidirect
828. C2×C4×Q8C2×D17semidirect
845. D17#3522direct (N × H)
1089. C17C2×#3522semidirect
1272. Q8#41×D17semidirect

Maximal subgroups

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

subgroupindex
#145428702
#145428692
#145428682
#145428672
#145428662
#145428652
#145428642
#145428632
#145428622
#145428612
#145428602
D17×#5592
Q82×D172
D17×#5542
D17×#5502
D17×#5482
D17×#5472
D17×#5422
D17×#5322
D17×#5292
D17×#5202
C2×C4×Q8×D172
C17×#35222
C2×#352217