Finite Group Databasebeta

← D17×#3482 #17941412

Subgroups — D17×#3482 #17941412

Order 4352.

7706 conjugacy classes of subgroups.

The subgroup lattice has 1372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542406C211yesmaximal, characteristic, complemented
2#14542405C211yesmaximal, characteristic, complemented
3#14542404C211yesmaximal, characteristic, complemented
4#14542403C213yesmaximal, complemented
5#14542402C213yesmaximal, complemented
6#14542401C212yesmaximal, complemented
7#14542400C212yesmaximal, complemented
8#14542399C213yesmaximal, complemented
9#14542398C216yesmaximal, complemented
10#14542397C216yesmaximal, complemented
11#14542396C213yesmaximal, complemented
12D17×#557C211yesmaximal, characteristic, complemented
13D17×#556C213yesmaximal, complemented
14D17×#552C216yesmaximal, complemented
15D4×Q8×D17C211yesmaximal, characteristic, complemented
16D17×#548C212yesmaximal, complemented
17D17×#547C213yesmaximal, complemented
18D17×#533C213yesmaximal, complemented
19D17×#529C216yesmaximal, complemented
20C4×#41×D17C213yesmaximal, complemented
21C4×#41×D17C211yesmaximal, characteristic, complemented
22C2×C4×Q8×D17C212yesmaximal, complemented
23C17×#3482C211yesmaximal, characteristic, complemented
24C2×#41×D17C2213yes—
25C2×#41×D17C2211yescharacteristic
26C22×Q8×D17C2212yes—
27#11763538C2211yescharacteristic, complemented
28#11763537C2213yescomplemented
29#11763536C2216yescomplemented
30#11763535C2212yescomplemented
31#11763534C2213yescomplemented
32#11763533C2213yescomplemented
33#11763532C2213yescomplemented
34#11763531C2216yescomplemented
35#11763530C2216yescomplemented
36#11763529C2213yescomplemented
37#11763528C2216yescomplemented
38#11763527C2216yescomplemented
39#11763526C22112yescomplemented
40#11763501C2216yescomplemented
41#11763500C2216yescomplemented
42#11763499C2216yescomplemented
43#11763498C2216yescomplemented
44#11763497C2216yescomplemented
45#11763496C22112yescomplemented
46#11763495C22112yescomplemented
47#11763494C2216yescomplemented
48#11763493C2216yescomplemented
49#11763492C22112yescomplemented
50#11763491C22112yescomplemented
51Q8×D68C2211yescharacteristic, complemented
52D4×Dic34C2213yescomplemented
53#11763474C2213yescomplemented
54Q8×C22⋊D17C2212yescomplemented
55#11763472C2216yescomplemented
56#11763471C2212yescomplemented
57#11763470C2212yescomplemented
58#11763469C2216yescomplemented
59#11763468C2216yescomplemented
60#11763467C2216yescomplemented
61#11763466C2212yescomplemented
62#11763465C2216yescomplemented
63#11763464C2213yescomplemented
64#11763463C2213yescomplemented
65#11763462C2213yescomplemented
66#11763461C2216yescomplemented
67#11763460C2216yescomplemented
68#11763459C2216yescomplemented
69#11763458C2216yescomplemented
70#11763457C22112yescomplemented
71#11763366C2213yescomplemented
72#11763365C2216yescomplemented
73#11763364C2213yescomplemented
74#11763364C2213yescomplemented
75#11763363C2216yescomplemented
76#11763363C2216yescomplemented
77#11763362C2216yescomplemented
78#11763361C2216yescomplemented
79#11763361C2216yescomplemented
80C4⋊Q8×D17C2213yes—
81C4⋊Q8×D17C2213yes—
82#11763346C2216yescomplemented
83#11763345C2216yescomplemented
84#11763344C2216yescomplemented
85#11763343C2216yescomplemented
86#11763342C22112yescomplemented
87#11763341C2216yescomplemented
88#11763340C2216yescomplemented
89#11763339C22112yescomplemented
90#11763338C2216yescomplemented
91#11763337C22112yescomplemented
92#11763336C22112yescomplemented
93#126×D17C22112yes—
94#125×D17C2216yes—
95#125×D17C2216yes—
96#124×D17C2216yes—
97#123×D17C22112yes—
98C22⋊Q8×D17C2216yes—
99C22⋊Q8×D17C2216yes—
100C22⋊Q8×D17C2216yes—
101#121×D17C2216yes—
102#41×Dic17C2213yescomplemented
103#41×Dic17C2211yescharacteristic, complemented
104C4×#63256C2211yescharacteristic, complemented
105C4×#63256C2213yescomplemented
106C4×#63256C2213yescomplemented
107C4×#63256C2211yescharacteristic, complemented
108C4×#63252C2216yescomplemented
109C4×#63252C2213yescomplemented
110C4×#63252C2213yescomplemented
111#11763277C2216yescomplemented
112#11763277C2213yescomplemented
113#11763277C2213yescomplemented
114C4×#63254C2213yescomplemented
115C4×#63254C2213yescomplemented
116C4×#63254C2216yescomplemented
117C4×#63254C2213yescomplemented
118C4×#63254C2216yescomplemented
119C4×#63254C2213yescomplemented
120C2×Q8×Dic17C2212yescomplemented
121C2×C4×Dic34C2216yescomplemented
122C2×#10587573C2216yescomplemented
123C4×Q8×D17C2212yes—
124C4×Q8×D17C2211yescharacteristic
125C4×Q8×D17C2213yes—
126C4×Q8×D17C2211yescharacteristic
127C4×Q8×D17C2216yes—
128C4×Q8×D17C2216yes—
129C4×Q8×D17C2213yes—
130C4×Q8×D17C2216yescomplemented
131C4×Q8×D17C2216yescomplemented
132C4×Q8×D17C2212yescomplemented
133C4×Q8×D17C2212yescomplemented
134C4×D4×D17C2211yescharacteristic
135C4×D4×D17C2213yes—
136C4×D4×D17C2213yes—
137C4×D4×D17C2216yes—
138C4×D4×D17C2216yes—
139C4×D4×D17C2213yes—
140#117×D17C2216yes—
141#117×D17C2213yes—
142#117×D17C2213yes—
143#117×D17C2216yes—
144C2×C4⋊C4×D17C2216yes—
145C2×C42×D17C2216yes—
146C2×C42×D17C2213yes—
147C17×#557C2211yescharacteristic, complemented
148C17×#556C2213yescomplemented
149C17×#552C2216yescomplemented
150D4×Q8×C17C2211yescharacteristic, complemented
151C17×#548C2212yescomplemented
152C17×#547C2213yescomplemented
153C17×#533C2213yescomplemented
154C17×#529C2216yescomplemented
155C4×#41×C17C2213yescomplemented
156C4×#41×C17C2211yescharacteristic, complemented
157C2×C4×Q8×C17C2212yescomplemented
158C2×#41×C17C2313yes—
159C2×#41×C17C2311yescharacteristic
160C22×Q8×C17C2312yes—
161#41×D17—28no—
162#41×D17—224no—
163C2×#63256C2313yes—
164C2×#63256C2311yescharacteristic
165C2×Q8×D17—216no—
166C2×Q8×D17C2312yes—
167C2×Q8×D17C2316yes—
168C2×Q8×D17C2316yes—
169C2×Q8×D17C2313yes—
170C2×Q8×D17C2311yescharacteristic
171C2×#63254C2316yes—
172C2×#63254C2313yes—
173C2×#63254C2313yes—
174C2×D4×D17C2316yes—
175C2×D4×D17C2313yes—
176C2×D4×D17C2311yescharacteristic
177C2×#63252C2316yes—
178C2×#63252C2313yes—
179C2×#63252C2313yes—
180C22×C4×D17C2312yes—
181C22×C4×D17C2316yes—
182C22×C4×D17C2316yes—
183C22×C4×D17C2313yes—
184C22×C4×D17C2313yes—
185C22×C4×D17C2313yes—
186C22×Dic34C2316yes—
187C17×C4⋊Q8C2313yes—
188C17×C4⋊Q8C2313yes—
189C17×#126C23112yes—
190C17×#125C2316yes—
191C17×#125C2316yes—
192C17×#124C2316yes—
193C17×#123C23112yes—
194C17×C22⋊Q8C2316yes—
195C17×C22⋊Q8C2316yes—
196C17×C22⋊Q8C2316yes—
197C17×#121C2316yes—
198C4×Q8×C17C2312yes—
199C4×Q8×C17C2311yescharacteristic
200C4×Q8×C17C2311yescharacteristic
201C4×Q8×C17C2316yes—
202C4×Q8×C17C2316yes—
203C4×Q8×C17C2313yes—
204C4×Q8×C17C2313yes—
205C4×D4×C17C2313yes—
206C4×D4×C17C2313yes—
207C4×D4×C17C2316yes—
208C4×D4×C17C2311yescharacteristic
209C4×D4×C17C2316yes—
210C4×D4×C17C2313yes—
211C17×#117C2316yes—
212C17×#117C2313yes—
213C17×#117C2313yes—
214C17×#117C2316yes—
215C2×C4⋊C4×C17C2316yes—
216C2×C42×C17C2316yes—
217C2×C42×C17C2313yes—
218#10587633C2316yes—
219#10587632C2316yes—
220#10587632C2316yes—
221#10587632C2316yes—
222Q8×Dic17C2312yes—
223Q8×Dic17C2311yescharacteristic
224Q8×Dic17C2316yes—
225Q8×Dic17C2311yescharacteristic
226Q8×Dic17C2316yes—
227Q8×Dic17C2313yes—
228Q8×Dic17C2313yes—
229#10587630C2316yes—
230#10587630C2316yes—
231#10587625C23112yes—
232#10587624C2316yes—
233#10587622C2316yes—
234#10587621C23112yes—
235D4×Dic17C2313yes—
236D4×Dic17C2313yes—
237D4×Dic17C2316yes—
238D4×Dic17C2311yescharacteristic
239D4×Dic17C2316yes—
240D4×Dic17C2313yes—
241#10587616C2316yes—
242#10587615C23112yes—
243C4×C22⋊D17C2316yes—
244C4×C22⋊D17C2316yes—
245C4×C22⋊D17C2316yes—
246C4×C22⋊D17C2316yes—
247C4×C22⋊D17C2312yes—
248C4×C22⋊D17C2316yes—
249C4×C22⋊D17C2316yes—
250C4×C22⋊D17C2316yes—
251#10587612C2313yes—
252#10587612C2316yes—
253#10587612C2313yes—
254#10587612C2316yes—
255C2×C4⋊Dic17C2316yes—
256#10587610C2316yes—
257#10587610C2316yes—
258#10587610C2316yes—
259C2×#63225C23112yes—
260C2×C4×Dic17C2316yes—
261C2×C4×Dic17C2316yes—
262C2×C4×Dic17C2316yes—
263C2×C4×Dic17C2313yes—
264C2×C4×Dic17C2313yes—
265C2×C4×Dic17C2313yes—
266#10587584C23112yes—
267#10587584C23112yes—
268#10587584C23112yes—
269#10587583C2316yes—
270#10587583C2316yes—
271#10587583C2316yes—
272#10587582C23112yes—
273#10587582C23112yes—
274#10587582C23112yes—
275#10587581C2316yes—
276#10587580C23112yes—
277#10587580C23112yes—
278#10587579C2313yes—
279#10587579C2313yes—
280#10587579C2316yes—
281#10587579C2311yescharacteristic
282#10587579C2316yes—
283#10587579C2313yes—
284#10587578C2316yes—
285#10587578C2313yes—
286#10587578C2316yes—
287#10587578C2313yes—
288#10587578C2313yes—
289#10587578C2313yes—
290#10587578C2316yes—
291#10587578C2316yes—
292C4⋊C4×D17C23112yes—
293C4⋊C4×D17C2316yes—
294C4⋊C4×D17C2316yes—
295C4⋊C4×D17C2313yes—
296C4⋊C4×D17C2316yes—
297C4⋊C4×D17C23112yes—
298C4⋊C4×D17C2311yescharacteristic
299C4⋊C4×D17C2316yes—
300C4⋊C4×D17C2313yes—
301C4⋊C4×D17C2313yes—
302C4⋊C4×D17C2316yes—
303C4⋊C4×D17C2316yes—
304C4⋊C4×D17C2316yes—
305#10587576C2316yes—
306#10587576C2316yes—
307#10587576C2316yes—
308#10587576C2316yes—
309#10587575C23112yes—
310#10587575C23112yes—
311#10587575C23112yes—
312#10587575C23112yes—
313#10587574C2316yes—
314#10587574C2316yes—
315#10587574C2316yes—
316#10587574C2316yes—
317#10587573C2316yes—
318#10587573C2313yes—
319#10587573C23112yes—
320#10587573C2316yes—
321#10587573C2316yes—
322#10587573C2313yes—
323#10587573C2313yes—
324#10587573C23112yes—
325#10587573C2316yes—
326#10587573C2313yes—
327#10587573C2316yes—
328#10587572C23112yes—
329#10587571C23112yes—
330#10587571C23112yes—
331#10587570C23112yes—
332#10587569C23112yes—
333#10587569C23112yes—
334#10587567C2316yes—
335#10587567C2316yes—
336#10587567C2316yes—
337#10587567C2316yes—
338#10587567C2312yes—
339#10587567C2316yes—
340#10587567C2316yes—
341#10587567C2316yes—
342C22⋊C4×D17C2312yes—
343C22⋊C4×D17C2316yes—
344C22⋊C4×D17C2316yes—
345C22⋊C4×D17C2316yes—
346C22⋊C4×D17C23112yes—
347#10587565C23112yes—
348#10587565C23112yes—
349#10587565C23112yes—
350#10587564C23112yes—
351#10587564C23112yes—
352#10587564C23112yes—
353#10587563C2316yes—
354#10587563C2316yes—
355#10587563C2316yes—
356#10587563C2316yes—
357#10587563C23112yes—
358#10587562C23112yes—
359#10587561C2316yes—
360C4×D68C2313yes—
361C4×D68C2313yes—
362C4×D68C2316yes—
363C4×D68C2311yescharacteristic
364C4×D68C2316yes—
365C4×D68C2313yes—
366#10587558C2316yes—
367#10587558C2316yes—
368#10587558C2316yes—
369#10587558C2316yes—
370#10587558C23112yes—
371C42×D17C2313yes—
372C42×D17C2311yescharacteristic
373C42×D17C2313yes—
374C42×D17C2316yes—
375C42×D17C2316yes—
376C42×D17C2313yes—
377C42×D17C2316yes—
378C42×D17C2316yes—
379C42×D17C2316yes—
380C42×D17C2316yes—
381C42×D17C2316yes—
382C42×D17C2313yes—
383C42×D17C2313yes—
384C42×D17C2313yes—
385C42×D17C2313yes—
386#10587556C2316yes—
387#10587556C2316yes—
388#10587555C2313yes—
389#10587555C2313yes—
390C4×Dic34C2316yes—
391C4×Dic34C2313yes—
392C4×Dic34C23112yes—
393C4×Dic34C2316yes—
394C4×Dic34C2313yes—
395C4×Dic34C23112yes—
396C4×Dic34C2316yes—
397C4×Dic34C2316yes—
398C4×Dic34C2313yes—
399C4×Dic34C2316yes—
400C4×Dic34C2313yes—
401C23×D17C2413yes—
402C23×D17C2412yes—
403#41×C17—24no—
404#41×C17—212no—
405C2×Q8×C17—28no—
406C2×Q8×C17C2416yes—
407C2×Q8×C17C2413yes—
408C2×Q8×C17C2411yescharacteristic
409C2×D4×C17C2416yes—
410C2×D4×C17C2413yes—
411C2×D4×C17C2411yescharacteristic
412C22×C4×C17C2413yes—
413C22×C4×C17C2413yes—
414C22×C4×C17C2416yes—
415C22×C4×C17C2416yes—
416C22×C4×C17C2412yes—
417C22×C4×C17C2413yes—
418C2×C22⋊D17C2416yes—
419C2×C22⋊D17C2416yes—
420C2×C22⋊D17C2416yes—
421C2×C22⋊D17C2412yes—
422C22×Dic17C2416yes—
423C22×Dic17C2413yes—
424C22×Dic17C2413yes—
425C22×Dic17C2416yes—
426C22×Dic17C2413yes—
427C22×Dic17C2412yes—
428#63256—24no—
429#63256—212no—
430Q8×D17—28no—
431Q8×D17—224no—
432Q8×D17—212no—
433Q8×D17—224no—
434Q8×D17#4118yescomplemented
435#63254—212no—
436#63254—224no—
437#63254—212no—
438D4×D17—224no—
439D4×D17—212no—
440D4×D17#4118yescomplemented
441#63252—224no—
442#63252—212no—
443#63252—212no—
444C2×D68C2413yes—
445C2×D68C2416yes—
446C2×D68C2411yescharacteristic
447C2×C4×D17—224no—
448C2×C4×D17—224no—
449C2×C4×D17—212no—
450C2×C4×D17—212no—
451C2×C4×D17—28no—
452C2×C4×D17—212no—
453C2×C4×D17C2413yes—
454C2×C4×D17C2411yescharacteristic
455C2×C4×D17C2413yes—
456C2×C4×D17C2413yes—
457C2×C4×D17C2416yes—
458C2×C4×D17C2416yes—
459C2×C4×D17C2413yes—
460C2×C4×D17C2413yes—
461C2×C4×D17C2416yes—
462C2×C4×D17C2416yes—
463C2×C4×D17C2416yes—
464C2×C4×D17C2416yes—
465C2×C4×D17C2412yes—
466C2×C4×D17C2412yes—
467C2×C4×D17C2412yes—
468C2×C4×D17C2413yes—
469C2×C4×D17C2413yes—
470C2×C4×D17C2413yes—
471C2×C4×D17C2413yes—
472C2×C4×D17C2411yescharacteristic
473C2×C4×D17C2411yescharacteristic
474C2×Dic34—224no—
475C2×Dic34C2416yes—
476C2×Dic34C24112yes—
477C2×Dic34C2413yes—
478C2×Dic34C2416yes—
479C2×Dic34C2413yes—
480C4⋊C4×C17C2416yes—
481C4⋊C4×C17C2413yes—
482C4⋊C4×C17C2416yes—
483C4⋊C4×C17C2413yes—
484C4⋊C4×C17C24112yes—
485C4⋊C4×C17C2416yes—
486C4⋊C4×C17C2416yes—
487C4⋊C4×C17C2416yes—
488C4⋊C4×C17C2413yes—
489C4⋊C4×C17C2411yescharacteristic
490C22⋊C4×C17C2416yes—
491C22⋊C4×C17C24112yes—
492C22⋊C4×C17C2416yes—
493C22⋊C4×C17C2416yes—
494C22⋊C4×C17C2412yes—
495C42×C17C2416yes—
496C42×C17C2413yes—
497C42×C17C2416yes—
498C42×C17C2413yes—
499C42×C17C2413yes—
500C42×C17C2411yescharacteristic
501C42×C17C2416yes—
502C22⋊Dic17C2412yes—
503C22⋊Dic17C24112yes—
504C22⋊Dic17C2416yes—
505C22⋊Dic17C2416yes—
506C22⋊Dic17C2416yes—
507#63227C2412yes—
508#63227C2412yes—
509#63227C2416yes—
510#63227C2416yes—
511#63227C2416yes—
512#63227C2416yes—
513#63227C2416yes—
514#63227C2416yes—
515#63227C24112yes—
516#63227C24112yes—
517C4⋊Dic17C2413yes—
518C4⋊Dic17C2411yescharacteristic
519C4⋊Dic17C2416yes—
520C4⋊Dic17C24112yes—
521C4⋊Dic17C2413yes—
522C4⋊Dic17C2413yes—
523C4⋊Dic17C2416yes—
524C4⋊Dic17C2416yes—
525C4⋊Dic17C2416yes—
526C4⋊Dic17C2416yes—
527#63225C2412yes—
528#63225C2416yes—
529#63225C24112yes—
530#63225C24112yes—
531#63225C24112yes—
532#63225C2416yes—
533#63225C2416yes—
534#63225C2416yes—
535#63225C2416yes—
536#63225C2416yes—
537#63225C2416yes—
538#63225C24112yes—
539#63225C24112yes—
540C4×Dic17C2413yes—
541C4×Dic17C2411yescharacteristic
542C4×Dic17C2416yes—
543C4×Dic17C2416yes—
544C4×Dic17C2416yes—
545C4×Dic17C2416yes—
546C4×Dic17C2413yes—
547C4×Dic17C2413yes—
548C4×Dic17C2413yes—
549C4×Dic17C2411yescharacteristic
550C4×Dic17C2413yes—
551C4×Dic17C2411yescharacteristic
552C4×Dic17C2413yes—
553C4×Dic17C2413yes—
554C4×Dic17C2416yes—
555C4×Dic17C2413yes—
556C4×Dic17C2416yes—
557C4×Dic17C2416yes—
558C4×Dic17C2416yes—
559C4×Dic17C2413yes—
560C4×Dic17C2416yes—
561C2×#3482—171nomaximal, Sylow
562C23×C17C2513yes—
563C23×C17C2512yes—
564C22×D17—24no—
565C22×D17—24no—
566C22×D17—26no—
567C22×D17—26no—
568C22×D17—26no—
569C22×D17C2×#4118yes—
570C22×D17C2513yes—
571C22×D17C2512yes—
572C22×D17C2511yescharacteristic
573Q8×C17—212no—
574Q8×C17—26no—
575Q8×C17C2×#4114yescomplemented
576D4×C17—212no—
577D4×C17—26no—
578D4×C17C2×#4114yescomplemented
579C2×C4×C17—212no—
580C2×C4×C17—212no—
581C2×C4×C17—26no—
582C2×C4×C17—26no—
583C2×C4×C17—24no—
584C2×C4×C17—26no—
585C2×C4×C17C2512yes—
586C2×C4×C17C2511yescharacteristic
587C2×C4×C17C2513yes—
588C2×C4×C17C2513yes—
589C2×C4×C17C2516yes—
590C2×C4×C17C2516yes—
591C2×C4×C17C2511yescharacteristic
592C2×C4×C17C2513yes—
593C2×C4×C17C2511yescharacteristic
594C22⋊D17—212no—
595C22⋊D17—212no—
596C22⋊D17—212no—
597C22⋊D17C2×#4118yescomplemented
598C2×Dic17—212no—
599C2×Dic17—212no—
600C2×Dic17—26no—
601C2×Dic17—26no—
602C2×Dic17—24no—
603C2×Dic17—26no—
604C2×Dic17C2516yes—
605C2×Dic17C2512yes—
606C2×Dic17C2513yes—
607C2×Dic17C2516yes—
608C2×Dic17C2511yescharacteristic
609C2×Dic17C2513yes—
610C2×Dic17C2511yescharacteristic
611C2×Dic17C2513yes—
612C2×Dic17C2511yescharacteristic
613D68—212no—
614D68—26no—
615D68C2×#4114yescomplemented
616C4×D17—26no—
617C4×D17—22no—
618C4×D17—212no—
619C4×D17—212no—
620C4×D17—212no—
621C4×D17—212no—
622C4×D17—24no—
623C4×D17—26no—
624C4×D17—26no—
625C4×D17—26no—
626C4×D17—212no—
627C4×D17—24no—
628C4×D17—26no—
629C4×D17—26no—
630C4×D17—26no—
631C4×D17—212no—
632C4×D17—24no—
633C4×D17—26no—
634C4×D17C2×#41112yes—
635C4×D17C2×#4114yes—
636C4×D172−1+414yes—
637Dic34—212no—
638Dic34—26no—
639Dic34—224no—
640Dic34—212no—
641Dic34C2×#41112yescomplemented
642#3482—171no—
643#3482—173no—
644#3482—176no—
645#3482—171no—
646#3482—172no—
647#3482—173no—
648#3482—173no—
649#3482—176no—
650#3482—173no—
651#3482—171no—
652#3482—172no—
653#3482D1711yescharacteristic, direct product factor
654C2×#557—171no—
655C2×#556—173no—
656C2×#552—176no—
657C2×D4×Q8—171no—
658C2×#548—172no—
659C2×#547—173no—
660C2×#533—173no—
661C2×#529—176no—
662C2×C4×#41—171no—
663C2×C4×#41—173no—
664C22×C4×Q8—172no—
665C22×C17—22no—
666C22×C17—22no—
667C22×C17—23no—
668C22×C17—23no—
669C22×C17—23no—
670C22×C17C22×#4114yes—
671C22×C17C2611yescharacteristic
672C2×D17—22no—
673C2×D17—22no—
674C2×D17—216no—
675C2×D17—23no—
676C2×D17—23no—
677C2×D17—23no—
678C2×D17—412no—
679C2×D17C22×#4114yes—
680C2×D17C22×#4112yes—
681C2×D17C22×#4112yes—
682C2×D17C2×2−1+412yes—
683C4×C17—26no—
684C4×C17—26no—
685C4×C17—23no—
686C4×C17—21no—
687C4×C17—22no—
688C4×C17—23no—
689C4×C17C22×#4112yes—
690C4×C17C22×#4116yes—
691C4×C17C2×2−1+412yes—
692Dic17—26no—
693Dic17—26no—
694Dic17—23no—
695Dic17—21no—
696Dic17—22no—
697Dic17—23no—
698Dic17C22×#4112yes—
699Dic17C22×#4116yes—
700Dic17C2×2−1+412yes—
701C22×#41—173no—
702C22×#41—171no—
703C23×Q8—172no—
704#557—173no—
705#557—176no—
706#557—172no—
707#557—173no—
708#557—171no—
709#557C2×D1711yescharacteristic, complemented
710#556—173no—
711#556—1712no—
712#556—176no—
713#556—176no—
714#556—176no—
715#556—173no—
716#556—173no—
717#556—176no—
718#556C2×D1713yescomplemented
719#552—1712no—
720#552—1712no—
721#552—176no—
722#552—1712no—
723#552—176no—
724#552—176no—
725#552—176no—
726#552—176no—
727#552—1712no—
728#552—176no—
729#552—176no—
730#552C2×D1716yescomplemented
731D4×Q8—172no—
732D4×Q8—173no—
733D4×Q8—176no—
734D4×Q8—171no—
735D4×Q8—173no—
736D4×Q8C2×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—176no—
746#547—173no—
747#547—1712no—
748#547—176no—
749#547—176no—
750#547—173no—
751#547—173no—
752#547—176no—
753#547C2×D1713yescomplemented
754#533—173no—
755#533—173no—
756#533—176no—
757#533—176no—
758#533—176no—
759#533—176no—
760#533—176no—
761#533—176no—
762#533—173no—
763#533C2×D1713yescomplemented
764C2×C4⋊Q8—173no—
765C2×C4⋊Q8—173no—
766#529—1712no—
767#529—176no—
768#529—176no—
769#529—1712no—
770#529—176no—
771#529—176no—
772#529—176no—
773#529—1712no—
774#529—176no—
775#529—1712no—
776#529—176no—
777#529C2×D1716yescomplemented
778C2×#126—1712no—
779C2×#125—176no—
780C2×#125—176no—
781C2×#124—176no—
782C2×#123—1712no—
783C2×C22⋊Q8—176no—
784C2×C22⋊Q8—176no—
785C2×C22⋊Q8—176no—
786C2×#121—176no—
787C4×#41—173no—
788C4×#41—171no—
789C4×#41—173no—
790C4×#41—173no—
791C4×#41—171no—
792C4×#41—171no—
793C4×#41—173no—
794C4×#41—173no—
795C4×#41—176no—
796C4×#41—176no—
797C4×#41—173no—
798C4×#41—173no—
799C4×#41—176no—
800C4×#41—173no—
801C4×#41—173no—
802C4×#41—173no—
803C4×#41—176no—
804C4×#41—173no—
805C4×#41C2×D1713yescomplemented
806C4×#41C2×D1711yescharacteristic, complemented
807C2×C4×Q8—172no—
808C2×C4×Q8—171no—
809C2×C4×Q8—176no—
810C2×C4×Q8—172no—
811C2×C4×Q8—176no—
812C2×C4×Q8—173no—
813C2×C4×Q8—171no—
814C2×C4×Q8—173no—
815C2×C4×Q8—172no—
816C2×C4×Q8—176no—
817C2×C4×Q8—172no—
818C2×C4×Q8—176no—
819C2×C4×Q8—176no—
820C2×C4×Q8—176no—
821C2×C4×Q8C2×D1712yescomplemented
822C2×C4×D4—171no—
823C2×C4×D4—176no—
824C2×C4×D4—173no—
825C2×C4×D4—173no—
826C2×C4×D4—173no—
827C2×C4×D4—176no—
828C2×#117—173no—
829C2×#117—176no—
830C2×#117—173no—
831C2×#117—176no—
832C22×C4⋊C4—176no—
833C22×C42—176no—
834C22×C42—173no—
835C2×C17—24no—
836C2×C17—43no—
837C2×C17C23×#4111yescharacteristic
838C2×C17C23×#4111yescharacteristic
839C2×C17C22×2−1+411yescharacteristic
840D17—24no—
841D17—43no—
842D17#348214yesdirect product factor
843C2×#41—173no—
844C2×#41—171no—
845C2×#41—173no—
846C2×#41—176no—
847C2×#41—173no—
848C2×#41—173no—
849C2×#41—176no—
850C2×#41—173no—
851C2×#41—3424no—
852C2×#41—348no—
853C2×#41C22×D1713yes—
854C2×#41C22×D1711yescharacteristic
855C22×Q8—171no—
856C22×Q8—176no—
857C22×Q8—173no—
858C22×Q8—176no—
859C22×Q8—172no—
860C22×Q8—176no—
861C22×Q8—3416no—
862C22×Q8C22×D1712yes—
863C22×D4—171no—
864C22×D4—176no—
865C22×D4—173no—
866C23×C4—176no—
867C23×C4—176no—
868C23×C4—173no—
869C23×C4—173no—
870C23×C4—173no—
871C23×C4—172no—
872C4⋊Q8—176no—
873C4⋊Q8—176no—
874C4⋊Q8—176no—
875C4⋊Q8—176no—
876C4⋊Q8—176no—
877C4⋊Q8—176no—
878C4⋊Q8—173no—
879C4⋊Q8—173no—
880C4⋊Q8C22×D1713yes—
881C4⋊Q8C22×D1713yes—
882#126—1712no—
883#126—1712no—
884#126—1712no—
885#126—1712no—
886#126—1712no—
887#126—1712no—
888#126—1712no—
889#126C22×D17112yes—
890#125—1712no—
891#125—1712no—
892#125—176no—
893#125—176no—
894#125—1712no—
895#125—1712no—
896#125—176no—
897#125—176no—
898#125—176no—
899#125—176no—
900#125C22×D1716yes—
901#125C22×D1716yes—
902#124—176no—
903#124—176no—
904#124—1712no—
905#124—1712no—
906#124—176no—
907#124C22×D1716yes—
908#123—1712no—
909#123—1712no—
910#123—1712no—
911#123—1712no—
912#123—1712no—
913#123—1712no—
914#123—1712no—
915#123C22×D17112yes—
916C22⋊Q8—176no—
917C22⋊Q8—176no—
918C22⋊Q8—176no—
919C22⋊Q8—176no—
920C22⋊Q8—176no—
921C22⋊Q8—176no—
922C22⋊Q8—1712no—
923C22⋊Q8—176no—
924C22⋊Q8—1712no—
925C22⋊Q8—176no—
926C22⋊Q8—1712no—
927C22⋊Q8—176no—
928C22⋊Q8—1712no—
929C22⋊Q8—1712no—
930C22⋊Q8—1712no—
931C22⋊Q8C22×D1716yes—
932C22⋊Q8C22×D1716yes—
933C22⋊Q8C22×D1716yes—
934#121—176no—
935#121—1712no—
936#121—176no—
937#121—176no—
938#121—1712no—
939#121C22×D1716yes—
940C4×Q8—171no—
941C4×Q8—176no—
942C4×Q8—172no—
943C4×Q8—176no—
944C4×Q8—173no—
945C4×Q8—171no—
946C4×Q8—173no—
947C4×Q8—173no—
948C4×Q8—1712no—
949C4×Q8—176no—
950C4×Q8—176no—
951C4×Q8—1712no—
952C4×Q8—176no—
953C4×Q8—173no—
954C4×Q8—176no—
955C4×Q8—173no—
956C4×Q8—176no—
957C4×Q8—173no—
958C4×Q8—173no—
959C4×Q8—1712no—
960C4×Q8—176no—
961C4×Q8—176no—
962C4×Q8—176no—
963C4×Q8—1712no—
964C4×Q8—176no—
965C4×Q8—173no—
966C4×Q8—173no—
967C4×Q8—176no—
968C4×Q8—173no—
969C4×Q8C22×D1711yescharacteristic
970C4×Q8C22×D1716yes—
971C4×Q8C22×D1712yes—
972C4×Q8C22×D1716yes—
973C4×Q8C22×D1713yes—
974C4×Q8C22×D1711yescharacteristic
975C4×Q8C22×D1713yes—
976C4×D4—171no—
977C4×D4—173no—
978C4×D4—176no—
979C4×D4—173no—
980C4×D4—173no—
981C4×D4—176no—
982C4×D4—172no—
983C4×D4—176no—
984C4×D4—176no—
985C4×D4—176no—
986C4×D4—176no—
987C4×D4—176no—
988C4×D4—176no—
989C4×D4—176no—
990C4×D4—171no—
991C4×D4—173no—
992C4×D4—176no—
993C4×D4—173no—
994C4×D4—173no—
995C4×D4—176no—
996C4×D4—172no—
997C4×D4—176no—
998C4×D4—176no—
999C4×D4—176no—
1000C4×D4—176no—
1001C4×D4—176no—
1002C4×D4—176no—
1003C4×D4—176no—
1004C4×D4—171no—
1005C4×D4—173no—
1006C4×D4—176no—
1007C4×D4—173no—
1008C4×D4—173no—
1009C4×D4—176no—
1010C4×D4C22×D1711yescharacteristic
1011C4×D4C22×D1713yes—
1012C4×D4C22×D1716yes—
1013C4×D4C22×D1713yes—
1014C4×D4C22×D1713yes—
1015C4×D4C22×D1716yes—
1016#117—173no—
1017#117—176no—
1018#117—173no—
1019#117—176no—
1020#117—173no—
1021#117—173no—
1022#117—176no—
1023#117—176no—
1024#117—173no—
1025#117—173no—
1026#117—176no—
1027#117—176no—
1028#117—176no—
1029#117—176no—
1030#117—176no—
1031#117—176no—
1032#117—1712no—
1033#117—176no—
1034#117—176no—
1035#117—176no—
1036#117—176no—
1037#117—1712no—
1038#117C22×D1713yes—
1039#117C22×D1716yes—
1040#117C22×D1713yes—
1041#117C22×D1716yes—
1042C2×C4⋊C4—1712no—
1043C2×C4⋊C4—176no—
1044C2×C4⋊C4—173no—
1045C2×C4⋊C4—176no—
1046C2×C4⋊C4—1712no—
1047C2×C4⋊C4—1712no—
1048C2×C4⋊C4—176no—
1049C2×C4⋊C4—176no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—173no—
1052C2×C4⋊C4—176no—
1053C2×C4⋊C4—173no—
1054C2×C4⋊C4—176no—
1055C2×C4⋊C4—176no—
1056C2×C4⋊C4—176no—
1057C2×C4⋊C4C22×D1716yes—
1058C2×C22⋊C4—172no—
1059C2×C22⋊C4—176no—
1060C2×C22⋊C4—176no—
1061C2×C22⋊C4—176no—
1062C2×C22⋊C4—1712no—
1063C2×C42—176no—
1064C2×C42—176no—
1065C2×C42—176no—
1066C2×C42—173no—
1067C2×C42—173no—
1068C2×C42—173no—
1069C2×C42—173no—
1070C2×C42—176no—
1071C2×C42—176no—
1072C2×C42—173no—
1073C2×C42—176no—
1074C2×C42—171no—
1075C2×C42—173no—
1076C2×C42—176no—
1077C2×C42—176no—
1078C2×C42—176no—
1079C2×C42—176no—
1080C2×C42—173no—
1081C2×C42—173no—
1082C2×C42—173no—
1083C2×C42—173no—
1084C2×C42C22×D1716yes—
1085C2×C42C22×D1713yes—
1086C17C2×#348211yescharacteristic, complemented, Sylow
1087C24—172no—
1088C24—173no—
1089#41—24no—
1090#41—212no—
1091#41—3424no—
1092#41—3412no—
1093#41—3412no—
1094#41—3424no—
1095#41—3412no—
1096#41—3412no—
1097#41—344no—
1098#41—3412no—
1099C2×Q8—28no—
1100C2×Q8—178no—
1101C2×Q8—173no—
1102C2×Q8—1712no—
1103C2×Q8—176no—
1104C2×Q8—176no—
1105C2×Q8—173no—
1106C2×Q8—3424no—
1107C2×Q8—3424no—
1108C2×Q8—3412no—
1109C2×Q8—3424no—
1110C2×Q8—348no—
1111C2×Q8C23×D1716yes—
1112C2×Q8C23×D1713yes—
1113C2×Q8C23×D1711yescharacteristic
1114C2×D4—172no—
1115C2×D4—178no—
1116C2×D4—176no—
1117C2×D4—176no—
1118C2×D4—176no—
1119C2×D4—171no—
1120C2×D4—176no—
1121C2×D4—173no—
1122C2×D4—3412no—
1123C2×D4—3424no—
1124C2×D4C23×D1716yes—
1125C2×D4C23×D1713yes—
1126C2×D4C23×D1711yescharacteristic
1127C22×C4—171no—
1128C22×C4—173no—
1129C22×C4—171no—
1130C22×C4—172no—
1131C22×C4—176no—
1132C22×C4—176no—
1133C22×C4—173no—
1134C22×C4—173no—
1135C22×C4—173no—
1136C22×C4—172no—
1137C22×C4—172no—
1138C22×C4—171no—
1139C22×C4—173no—
1140C22×C4—173no—
1141C22×C4—176no—
1142C22×C4—176no—
1143C22×C4—176no—
1144C22×C4—176no—
1145C22×C4—176no—
1146C22×C4—176no—
1147C22×C4—173no—
1148C22×C4—173no—
1149C22×C4—173no—
1150C22×C4—173no—
1151C22×C4—173no—
1152C22×C4—172no—
1153C22×C4—173no—
1154C22×C4—348no—
1155C22×C4—3412no—
1156C22×C4—3424no—
1157C22×C4—3412no—
1158C22×C4—3412no—
1159C22×C4—3424no—
1160C22×C4C23×D1716yes—
1161C22×C4C23×D1716yes—
1162C22×C4C23×D1713yes—
1163C22×C4C23×D1713yes—
1164C22×C4C23×D1712yes—
1165C22×C4C23×D1713yes—
1166C4⋊C4—176no—
1167C4⋊C4—173no—
1168C4⋊C4—1712no—
1169C4⋊C4—176no—
1170C4⋊C4—1712no—
1171C4⋊C4—1712no—
1172C4⋊C4—1712no—
1173C4⋊C4—172no—
1174C4⋊C4—171no—
1175C4⋊C4—176no—
1176C4⋊C4—176no—
1177C4⋊C4—176no—
1178C4⋊C4—176no—
1179C4⋊C4—173no—
1180C4⋊C4—176no—
1181C4⋊C4—173no—
1182C4⋊C4—176no—
1183C4⋊C4—176no—
1184C4⋊C4—176no—
1185C4⋊C4—1712no—
1186C4⋊C4—176no—
1187C4⋊C4—1712no—
1188C4⋊C4—176no—
1189C4⋊C4C23×D1713yes—
1190C4⋊C4C23×D1716yes—
1191C4⋊C4C23×D17112yes—
1192C4⋊C4C23×D1711yescharacteristic
1193C4⋊C4C23×D1716yes—
1194C4⋊C4C23×D1713yes—
1195C4⋊C4C23×D1713yes—
1196C4⋊C4C23×D1716yes—
1197C4⋊C4C23×D1716yes—
1198C4⋊C4C23×D1716yes—
1199C22⋊C4—172no—
1200C22⋊C4—176no—
1201C22⋊C4—176no—
1202C22⋊C4—176no—
1203C22⋊C4—1712no—
1204C22⋊C4—172no—
1205C22⋊C4—172no—
1206C22⋊C4—176no—
1207C22⋊C4—176no—
1208C22⋊C4—176no—
1209C22⋊C4—176no—
1210C22⋊C4—176no—
1211C22⋊C4—176no—
1212C22⋊C4—1712no—
1213C22⋊C4—1712no—
1214C22⋊C4C23×D1712yes—
1215C22⋊C4C23×D1716yes—
1216C22⋊C4C23×D1716yes—
1217C22⋊C4C23×D1716yes—
1218C22⋊C4C23×D17112yes—
1219C42—173no—
1220C42—171no—
1221C42—173no—
1222C42—171no—
1223C42—173no—
1224C42—173no—
1225C42—173no—
1226C42—176no—
1227C42—176no—
1228C42—176no—
1229C42—176no—
1230C42—176no—
1231C42—173no—
1232C42—173no—
1233C42—173no—
1234C42—176no—
1235C42—176no—
1236C42—176no—
1237C42—173no—
1238C42—171no—
1239C42—176no—
1240C42C23×D1713yes—
1241C42C23×D1716yes—
1242C42C23×D1713yes—
1243C42C23×D1716yes—
1244C42C23×D1713yes—
1245C42C23×D1711yescharacteristic
1246C42C23×D1716yes—
1247C23—171no—
1248C23—178no—
1249C23—172no—
1250C23—173no—
1251C23—344no—
1252C23—344no—
1253C23—346no—
1254C23—346no—
1255C23—346no—
1256C23C24×D1713yes—
1257C23C24×D1712yes—
1258Q8—212no—
1259Q8—26no—
1260Q8—1712no—
1261Q8—3424no—
1262Q8—3412no—
1263Q8—3412no—
1264Q8—346no—
1265Q8#41×D1714yescomplemented
1266D4—212no—
1267D4—26no—
1268D4—178no—
1269D4—174no—
1270D4—3412no—
1271D4—3412no—
1272D4—3412no—
1273D4—3412no—
1274D4—346no—
1275D4#41×D1714yescomplemented
1276C2×C4—212no—
1277C2×C4—212no—
1278C2×C4—26no—
1279C2×C4—26no—
1280C2×C4—24no—
1281C2×C4—26no—
1282C2×C4—171no—
1283C2×C4—171no—
1284C2×C4—173no—
1285C2×C4—174no—
1286C2×C4—1712no—
1287C2×C4—174no—
1288C2×C4—172no—
1289C2×C4—171no—
1290C2×C4—173no—
1291C2×C4—173no—
1292C2×C4—176no—
1293C2×C4—176no—
1294C2×C4—3412no—
1295C2×C4—346no—
1296C2×C4—346no—
1297C2×C4—344no—
1298C2×C4—346no—
1299C2×C4—342no—
1300C2×C4—346no—
1301C2×C4—3412no—
1302C2×C4—3412no—
1303C2×C4—3412no—
1304C2×C4—3412no—
1305C2×C4—344no—
1306C2×C4—346no—
1307C2×C4—3412no—
1308C2×C4—346no—
1309C2×C4—346no—
1310C2×C4—344no—
1311C2×C4—346no—
1312C2×C4—3412no—
1313C2×C4—3412no—
1314C2×C4—346no—
1315C2×C4—346no—
1316C2×C4—344no—
1317C2×C4—346no—
1318C2×C4C24×D1712yes—
1319C2×C4C24×D1711yescharacteristic
1320C2×C4C24×D1713yes—
1321C2×C4C24×D1713yes—
1322C2×C4C24×D1716yes—
1323C2×C4C24×D1716yes—
1324C2×C4C24×D1713yes—
1325C2×C4C24×D1711yescharacteristic
1326C2×C4C24×D1711yescharacteristic
1327C22—22no—
1328C22—22no—
1329C22—23no—
1330C22—23no—
1331C22—23no—
1332C22—172no—
1333C22—172no—
1334C22—172no—
1335C22—174no—
1336C22—3416no—
1337C22—342no—
1338C22—342no—
1339C22—343no—
1340C22—343no—
1341C22—343no—
1342C22—6812no—
1343C22C2×#41×D1714yes—
1344C22C25×D1711yescharacteristic
1345C4—23no—
1346C4—21no—
1347C4—26no—
1348C4—26no—
1349C4—22no—
1350C4—23no—
1351C4—172no—
1352C4—176no—
1353C4—172no—
1354C4—343no—
1355C4—341no—
1356C4—346no—
1357C4—346no—
1358C4—342no—
1359C4—343no—
1360C4C2×#41×D1716yes—
1361C4C2×#41×D1712yes—
1362C42−1+4×D1712yes—
1363C2—24no—
1364C2—43no—
1365C2—174no—
1366C2—344no—
1367C2—683no—
1368C2C22×#41×D1711yescharacteristic
1369C2C22×#41×D1711yescharacteristic
1370C2C2×2−1+4×D1711yescharacteristic
subgroupG/H
centerC2×C4C24×D17
commutator, socle, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC17×#3482C2
hypercenter#3482D17
hypocenterC17C2×#3482
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #14542406C2semidirect
2. #14542405C2semidirect
3. #14542404C2semidirect
4. #14542403C2semidirect
5. #14542402C2semidirect
6. #14542401C2semidirect
7. #14542400C2semidirect
8. #14542399C2semidirect
9. #14542398C2semidirect
10. #14542397C2semidirect
11. #14542396C2semidirect
12. D17×#557C2semidirect
13. D17×#556C2semidirect
14. D17×#552C2semidirect
15. D4×Q8×D17C2semidirect
16. D17×#548C2semidirect
17. D17×#547C2semidirect
18. D17×#533C2semidirect
19. D17×#529C2semidirect
20. C4×#41×D17C2semidirect
21. C4×#41×D17C2semidirect
22. C2×C4×Q8×D17C2semidirect
23. C17×#3482C2semidirect
27. #11763538C22semidirect
28. #11763537C22semidirect
29. #11763536C22semidirect
30. #11763535C22semidirect
31. #11763534C22semidirect
32. #11763533C22semidirect
33. #11763532C22semidirect
34. #11763531C22semidirect
35. #11763530C22semidirect
36. #11763529C22semidirect
37. #11763528C22semidirect
38. #11763527C22semidirect
39. #11763526C22semidirect
40. #11763501C22semidirect
41. #11763500C22semidirect
42. #11763499C22semidirect
43. #11763498C22semidirect
44. #11763497C22semidirect
45. #11763496C22semidirect
46. #11763495C22semidirect
47. #11763494C22semidirect
48. #11763493C22semidirect
49. #11763492C22semidirect
50. #11763491C22semidirect
51. Q8×D68C22semidirect
52. D4×Dic34C22semidirect
53. #11763474C22semidirect
54. Q8×C22⋊D17C22semidirect
55. #11763472C22semidirect
56. #11763471C22semidirect
57. #11763470C22semidirect
58. #11763469C22semidirect
59. #11763468C22semidirect
60. #11763467C22semidirect
61. #11763466C22semidirect
62. #11763465C22semidirect
63. #11763464C22semidirect
64. #11763463C22semidirect
65. #11763462C22semidirect
66. #11763461C22semidirect
67. #11763460C22semidirect
68. #11763459C22semidirect
69. #11763458C22semidirect
70. #11763457C22semidirect
71. #11763366C22semidirect
72. #11763365C22semidirect
73. #11763364C22semidirect
74. #11763364C22semidirect
75. #11763363C22semidirect
76. #11763363C22semidirect
77. #11763362C22semidirect
78. #11763361C22semidirect
79. #11763361C22semidirect
82. #11763346C22semidirect
83. #11763345C22semidirect
84. #11763344C22semidirect
85. #11763343C22semidirect
86. #11763342C22semidirect
87. #11763341C22semidirect
88. #11763340C22semidirect
89. #11763339C22semidirect
90. #11763338C22semidirect
91. #11763337C22semidirect
92. #11763336C22semidirect
102. #41×Dic17C22semidirect
103. #41×Dic17C22semidirect
104. C4×#63256C22semidirect
105. C4×#63256C22semidirect
106. C4×#63256C22semidirect
107. C4×#63256C22semidirect
108. C4×#63252C22semidirect
109. C4×#63252C22semidirect
110. C4×#63252C22semidirect
111. #11763277C22semidirect
112. #11763277C22semidirect
113. #11763277C22semidirect
114. C4×#63254C22semidirect
115. C4×#63254C22semidirect
116. C4×#63254C22semidirect
117. C4×#63254C22semidirect
118. C4×#63254C22semidirect
119. C4×#63254C22semidirect
120. C2×Q8×Dic17C22semidirect
121. C2×C4×Dic34C22semidirect
122. C2×#10587573C22semidirect
130. C4×Q8×D17C22semidirect
131. C4×Q8×D17C22semidirect
132. C4×Q8×D17C22semidirect
133. C4×Q8×D17C22semidirect
147. C17×#557C22semidirect
148. C17×#556C22semidirect
149. C17×#552C22semidirect
150. D4×Q8×C17C22semidirect
151. C17×#548C22semidirect
152. C17×#547C22semidirect
153. C17×#533C22semidirect
154. C17×#529C22semidirect
155. C4×#41×C17C22semidirect
156. C4×#41×C17C22semidirect
157. C2×C4×Q8×C17C22semidirect
434. Q8×D17#41semidirect
440. D4×D17#41semidirect
575. Q8×C17C2×#41semidirect
578. D4×C17C2×#41semidirect
597. C22⋊D17C2×#41semidirect
615. D68C2×#41semidirect
641. Dic34C2×#41semidirect
653. #3482D17direct (N × H)
709. #557C2×D17semidirect
718. #556C2×D17semidirect
730. #552C2×D17semidirect
736. D4×Q8C2×D17semidirect
744. #548C2×D17semidirect
753. #547C2×D17semidirect
763. #533C2×D17semidirect
777. #529C2×D17semidirect
805. C4×#41C2×D17semidirect
806. C4×#41C2×D17semidirect
821. C2×C4×Q8C2×D17semidirect
842. D17#3482direct (N × H)
1086. C17C2×#3482semidirect
1265. Q8#41×D17semidirect
1275. D4#41×D17semidirect

Maximal subgroups

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

subgroupindex
#145424062
#145424052
#145424042
#145424032
#145424022
#145424012
#145424002
#145423992
#145423982
#145423972
#145423962
D17×#5572
D17×#5562
D17×#5522
D4×Q8×D172
D17×#5482
D17×#5472
D17×#5332
D17×#5292
C4×#41×D172
C2×C4×Q8×D172
C17×#34822
C2×#348217