Finite Group Databasebeta

← #17942707

Subgroups — #17942707

Order 4352.

7856 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542860C212yesmaximal, complemented
2#14542812C216yesmaximal, complemented
3#14542791C211yesmaximal, characteristic, complemented
4#14542785C211yesmaximal, characteristic, complemented
5#14542748C213yesmaximal, complemented
6#14542744C213yesmaximal, complemented
7#14542688C213yesmaximal, complemented
8#14542657C213yesmaximal, complemented
9#14542601C211yesmaximal, characteristic, complemented
10#14542561C211yesmaximal, characteristic, complemented
11#14542515C216yesmaximal, complemented
12#14542450C212yesmaximal, complemented
13#14542410C212yesmaximal, complemented
14#14542390C216yesmaximal, complemented
15#14542379C211yesmaximal, characteristic, complemented
16#41×D68C213yesmaximal, complemented
17#14542270C213yesmaximal, complemented
18#14542205C216yesmaximal, complemented
19#14542077C213yesmaximal, complemented
20D17×#532C213yesmaximal, complemented
21C4×#10587696C212yesmaximal, complemented
22C2×C4×#63256C211yesmaximal, characteristic, complemented
23C17×#3480C211yesmaximal, characteristic, complemented
24C2×#10587696C2212yes—
25C22×#63256C2211yescharacteristic
26C2×#41×D17C2216yescomplemented
27#11763544C2213yescomplemented
28#11763541C2216yescomplemented
29Q8×Dic34C2212yescomplemented
30#11763538C2211yescharacteristic, complemented
31#11763532C2213yescomplemented
32#11763524C2216yescomplemented
33#11763522C2216yescomplemented
34#11763522C2216yescomplemented
35#11763517C2216yescomplemented
36#11763515C2216yescomplemented
37#11763512C2216yescomplemented
38#11763511C2216yescomplemented
39#11763510C22112yescomplemented
40#11763507C2216yescomplemented
41#11763484C22112yescomplemented
42#11763482C22112yescomplemented
43#11763481C2211yescharacteristic, complemented
44#11763481C2213yescomplemented
45#11763481C2212yescomplemented
46#11763480C2216yescomplemented
47#11763479C2213yescomplemented
48#11763478C2212yescomplemented
49#11763478C2212yescomplemented
50Q8×D68C2213yescomplemented
51#11763474C2213yescomplemented
52#11763471C2216yescomplemented
53#11763470C2212yescomplemented
54#11763467C2216yescomplemented
55#11763463C2216yescomplemented
56#11763463C2213yescomplemented
57#11763462C2213yescomplemented
58#11763459C2216yescomplemented
59#11763454C2216yescomplemented
60#11763454C22112yescomplemented
61#11763452C2216yescomplemented
62#11763452C2216yescomplemented
63#11763451C22112yescomplemented
64#11763450C2216yescomplemented
65#11763448C22112yescomplemented
66D4×D68C2216yescomplemented
67D4×D68C2213yescomplemented
68#11763444C2213yescomplemented
69#11763443C2216yescomplemented
70#11763443C2216yescomplemented
71#11763439C2216yescomplemented
72#11763432C2216yescomplemented
73#11763428C2216yescomplemented
74#11763425C22112yescomplemented
75#11763415C2216yescomplemented
76#11763412C2216yescomplemented
77#11763411C22112yescomplemented
78#11763398C22112yescomplemented
79#11763395C22112yescomplemented
80#11763389C2216yescomplemented
81#11763377C2216yescomplemented
82#11763375C2216yescomplemented
83#11763363C2213yescomplemented
84#11763363C2213yescomplemented
85#11763362C2211yescharacteristic, complemented
86#11763360C2213yescomplemented
87#11763359C2213yescomplemented
88#11763359C2216yescomplemented
89#11763358C2216yescomplemented
90#11763357C2213yescomplemented
91#11763356C2216yescomplemented
92#11763356C2213yescomplemented
93#11763356C2216yescomplemented
94#11763356C2213yescomplemented
95#11763356C2216yescomplemented
96#11763355C2213yescomplemented
97#11763354C2216yescomplemented
98#11763354C2216yescomplemented
99C4⋊Q8×D17C2213yescomplemented
100#127×D17C2213yescomplemented
101#11763346C2216yescomplemented
102#11763346C2213yescomplemented
103#11763346C2213yescomplemented
104#11763341C2213yescomplemented
105#11763341C2213yescomplemented
106#11763339C2216yescomplemented
107#11763339C2216yescomplemented
108#11763337C2216yescomplemented
109#11763337C2216yescomplemented
110#124×D17C2216yescomplemented
111#11763321C22112yescomplemented
112#11763321C2213yescomplemented
113#11763318C22112yescomplemented
114#11763318C2216yescomplemented
115#11763318C2216yescomplemented
116#11763316C2213yescomplemented
117#121×D17C2216yescomplemented
118#121×D17C2216yescomplemented
119#11763292C2212yescomplemented
120#11763291C2212yes—
121#11763291C2212yescomplemented
122#11763289C2216yescomplemented
123#11763283C2216yescomplemented
124#11763281C2216yescomplemented
125#11763281C2216yescomplemented
126C4×#63256C2211yescharacteristic
127C4×#63256C2211yescharacteristic
128C4×#63256C2212yescomplemented
129C4×#63256C2213yescomplemented
130C4×#63256C2213yescomplemented
131C4×#63256C2211yescharacteristic, complemented
132C4×#63256C2213yescomplemented
133C4×#63256C2213yescomplemented
134C4×#63256C2211yescharacteristic, complemented
135C4×#63252C2213yescomplemented
136C4×#63252C2216yescomplemented
137C4×#63252C2216yescomplemented
138C2×Q8×Dic17C2211yescharacteristic, complemented
139C2×C4×D68C2216yescomplemented
140C2×C4×D68C2213yescomplemented
141C2×#10587579C2213yescomplemented
142C4×D4×D17C2216yescomplemented
143C4×D4×D17C2216yescomplemented
144C4×D4×D17C2216yescomplemented
145C2×#10587578C2213yescomplemented
146C2×C42×D17C2213yescomplemented
147C17×#559C2213yescomplemented
148C17×#557C2211yescharacteristic, complemented
149C17×#556C2213yescomplemented
150C17×#553C2216yescomplemented
151C17×#550C2211yescharacteristic, complemented
152C17×#548C2212yescomplemented
153C17×#532C2213yescomplemented
154C17×#529C2216yescomplemented
155C4×#41×C17C2212yescomplemented
156C4×#41×C17C2213yescomplemented
157C2×C4×Q8×C17C2211yescharacteristic, complemented
158C2×#41×C17C2312yes—
159C2×#41×C17C2313yes—
160C22×Q8×C17C2311yescharacteristic
161#10587696—216no—
162#41×D17—424no—
163C2×#63256—28no—
164C2×#63256C2312yes—
165C2×#63256C2311yescharacteristic
166C2×#63256C2313yes—
167C2×#63256C2313yes—
168C2×#63256C2316yes—
169C2×#63256C2311yescharacteristic
170C2×Q8×D17C2316yes—
171C2×#63254C23112yes—
172C2×#63254C2316yes—
173C2×D4×D17C2316yes—
174C2×D4×D17C2316yes—
175C2×D4×D17C2316yes—
176C2×D4×D17C23112yes—
177C2×D4×D17C2316yes—
178C2×#63252C2316yes—
179C2×#63252C2313yes—
180C2×#63252C2316yes—
181C2×#63252C23112yes—
182C22×D68C2313yes—
183C22×D68C2316yes—
184C22×C4×D17C2313yes—
185C22×C4×D17C2313yes—
186C22×C4×D17C2313yes—
187C22×C4×D17C23112yes—
188C17×C4⋊Q8C2313yes—
189C17×#127C2313yes—
190C17×#126C23112yes—
191C17×#125C2316yes—
192C17×#124C2316yes—
193C17×#124C2316yes—
194C17×#123C23112yes—
195C17×C22⋊Q8C2316yes—
196C17×#121C2316yes—
197C17×#121C2316yes—
198C17×#121C2316yes—
199C4×Q8×C17C2313yes—
200C4×Q8×C17C2313yes—
201C4×Q8×C17C2311yescharacteristic
202C4×Q8×C17C2311yescharacteristic
203C4×Q8×C17C2313yes—
204C4×Q8×C17C2313yes—
205C4×Q8×C17C2312yes—
206C4×D4×C17C2316yes—
207C4×D4×C17C2313yes—
208C4×D4×C17C2316yes—
209C4×D4×C17C2316yes—
210C4×D4×C17C2316yes—
211C4×D4×C17C2313yes—
212C4×D4×C17C2316yes—
213C17×#117C2311yescharacteristic
214C17×#117C2316yes—
215C17×#117C2316yes—
216C2×C4⋊C4×C17C2313yes—
217C2×C42×C17C2313yes—
218C2×C42×C17C2316yes—
219#10587633C2316yes—
220#10587633C2313yes—
221#10587632C2313yes—
222#10587632C2316yes—
223#10587632C2313yes—
224Q8×Dic17C2312yes—
225Q8×Dic17C2311yescharacteristic
226Q8×Dic17C2313yes—
227Q8×Dic17C2311yescharacteristic
228Q8×Dic17C2313yes—
229#10587630C2313yes—
230#10587626C2316yes—
231#10587626C2316yes—
232#10587626C2313yes—
233#10587626C2316yes—
234#10587625C23112yes—
235#10587625C2316yes—
236#10587625C2316yes—
237#10587624C2316yes—
238#10587624C2313yes—
239#10587624C2316yes—
240#10587624C2313yes—
241#10587624C2316yes—
242#10587623C23112yes—
243#10587623C2316yes—
244#10587622C2313yes—
245#10587621C2316yes—
246D4×Dic17C2316yes—
247D4×Dic17C2316yes—
248D4×Dic17C2316yes—
249#10587616C2316yes—
250#10587616C2316yes—
251#10587616C2316yes—
252#10587616C23112yes—
253#10587616C2316yes—
254C4×C22⋊D17C2316yes—
255C4×C22⋊D17C2316yes—
256C4×C22⋊D17C2316yes—
257C4×C22⋊D17C2316yes—
258C4×C22⋊D17C2316yes—
259C4×C22⋊D17C2316yes—
260C4×C22⋊D17C2316yes—
261C4×C22⋊D17C2316yes—
262C4×C22⋊D17C2316yes—
263C4×C22⋊D17C2316yes—
264C2×#63227C23112yes—
265C2×#63227C2316yes—
266#10587612C2316yes—
267#10587612C2311yescharacteristic
268#10587612C2316yes—
269C2×C4⋊Dic17C2313yes—
270C2×C4⋊Dic17C2316yes—
271C2×C4×Dic17C2311yescharacteristic
272C2×C4×Dic17C2313yes—
273C2×C4×Dic17C2313yes—
274#10587584C2316yes—
275#10587584C23112yes—
276#10587584C2316yes—
277#10587583C2313yes—
278#10587583C23112yes—
279#10587583C2313yes—
280#10587583C23112yes—
281#10587582C23112yes—
282#10587582C2316yes—
283#10587582C2316yes—
284#10587581C2316yes—
285#10587581C2313yes—
286#10587581C23112yes—
287#10587581C2313yes—
288#10587581C2316yes—
289#10587581C2316yes—
290#10587581C23112yes—
291#10587581C2316yes—
292#10587580C23112yes—
293#10587580C2316yes—
294#10587580C23112yes—
295#10587580C2316yes—
296#10587579C2316yes—
297#10587579C2313yes—
298#10587579C2316yes—
299#10587579C2316yes—
300#10587579C2316yes—
301#10587579C2313yes—
302#10587579C2316yes—
303#10587579C2313yes—
304#10587579C2316yes—
305#10587579C2313yes—
306#10587578C2316yes—
307#10587578C2316yes—
308#10587578C2313yes—
309#10587578C2313yes—
310#10587578C2313yes—
311#10587578C2313yes—
312#10587578C2316yes—
313C4⋊C4×D17C2316yes—
314C4⋊C4×D17C2316yes—
315C4⋊C4×D17C2316yes—
316#10587576C2316yes—
317#10587576C2311yescharacteristic
318#10587576C2311yescharacteristic
319#10587575C2316yes—
320#10587575C2316yes—
321#10587574C2316yes—
322#10587574C2316yes—
323#10587574C2316yes—
324#10587574C2311yescharacteristic
325#10587574C2311yescharacteristic
326#10587572C2316yes—
327#10587572C23112yes—
328#10587572C23112yes—
329#10587571C23112yes—
330#10587571C23112yes—
331#10587571C2316yes—
332#10587571C23112yes—
333#10587571C2316yes—
334#10587570C23112yes—
335#10587570C23112yes—
336#10587570C23112yes—
337#10587570C2316yes—
338#10587570C23112yes—
339#10587570C2316yes—
340#10587569C23112yes—
341#10587569C2316yes—
342#10587569C2316yes—
343#10587568C23112yes—
344#10587568C2316yes—
345#10587568C23112yes—
346#10587568C23112yes—
347#10587567C23112yes—
348#10587567C23112yes—
349#10587567C23112yes—
350C22⋊C4×D17C23112yes—
351C22⋊C4×D17C23112yes—
352C22⋊C4×D17C23112yes—
353#10587565C2316yes—
354#10587565C2316yes—
355#10587564C23112yes—
356#10587564C2312yes—
357#10587564C2312yes—
358#10587561C23112yes—
359#10587561C2316yes—
360#10587560C2316yes—
361#10587560C2313yes—
362C4×D68C2313yes—
363C4×D68C2313yes—
364C4×D68C2316yes—
365C4×D68C2316yes—
366C4×D68C23112yes—
367C4×D68C2313yes—
368C4×D68C2316yes—
369C4×D68C2316yes—
370C4×D68C2313yes—
371C4×D68C2316yes—
372C4×D68C2316yes—
373C4×D68C2316yes—
374C4×D68C2316yes—
375C4×D68C2313yes—
376C4×D68C2316yes—
377C4×D68C2313yes—
378C4×D68C2316yes—
379#10587558C2316yes—
380#10587558C2316yes—
381#10587558C2316yes—
382#10587558C2316yes—
383#10587558C2316yes—
384C42×D17C2313yes—
385C42×D17C2313yes—
386C42×D17C2313yes—
387C42×D17C2313yes—
388C42×D17C2313yes—
389C42×D17C2313yes—
390C42×D17C2313yes—
391C42×D17C2313yes—
392C42×D17C2316yes—
393#10587555C2316yes—
394#10587555C2313yes—
395C4×Dic34C2313yes—
396C4×Dic34C2313yes—
397C4×Dic34C2316yes—
398C4×Dic34C2312yes—
399C4×Dic34C2312yes—
400C4×Dic34C2316yes—
401C23×D17C2413yes—
402C23×D17C24112yes—
403#41×C17—28no—
404#41×C17—212no—
405C2×Q8×C17—24no—
406C2×Q8×C17C2413yes—
407C2×Q8×C17C2413yes—
408C2×Q8×C17C2411yescharacteristic
409C2×D4×C17C2413yes—
410C2×D4×C17C2416yes—
411C2×D4×C17C2416yes—
412C2×D4×C17C2416yes—
413C22×C4×C17C2416yes—
414C22×C4×C17C2416yes—
415C22×C4×C17C2413yes—
416C22×C4×C17C2416yes—
417C22×C4×C17C2413yes—
418C22×C4×C17C2411yescharacteristic
419C2×C22⋊D17C2416yes—
420C2×C22⋊D17C2416yes—
421C2×C22⋊D17C2416yes—
422C2×C22⋊D17C2416yes—
423C2×C22⋊D17C24112yes—
424C2×C22⋊D17C24112yes—
425C2×C22⋊D17C2416yes—
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2413yes—
429C22×Dic17C24112yes—
430#63256—24no—
431#63256—28no—
432#63256—212no—
433#63256—212no—
434#63256—412no—
435#63256#4118yescomplemented
436Q8×D17—412no—
437#63254—412no—
438#63254—424no—
439D4×D17—224no—
440D4×D17—224no—
441D4×D17—412no—
442D4×D17—412no—
443D4×D17—424no—
444#63252—212no—
445#63252—224no—
446#63252—412no—
447#63252—424no—
448C2×D68—212no—
449C2×D68—224no—
450C2×D68C2416yes—
451C2×D68C2416yes—
452C2×D68C2413yes—
453C2×D68C2416yes—
454C2×D68C2413yes—
455C2×D68C24112yes—
456C2×D68C2416yes—
457C2×D68C2416yes—
458C2×D68C2413yes—
459C2×C4×D17—212no—
460C2×C4×D17—212no—
461C2×C4×D17—46no—
462C2×C4×D17—424no—
463C2×C4×D17C2413yes—
464C2×C4×D17C2416yes—
465C2×C4×D17C2413yes—
466C2×C4×D17C2413yes—
467C2×C4×D17C2413yes—
468C2×C4×D17C2413yes—
469C2×C4×D17C2413yes—
470C2×C4×D17C2413yes—
471C2×C4×D17C2413yes—
472C2×C4×D17C2413yes—
473C2×C4×D17C2416yes—
474C2×C4×D17C24112yes—
475C2×C4×D17C24112yes—
476C2×C4×D17C2413yes—
477C2×C4×D17C2413yes—
478C2×C4×D17C2416yes—
479C2×C4×D17C2413yes—
480C2×Dic34C2412yes—
481C2×Dic34C2412yes—
482C2×Dic34C2413yes—
483C2×Dic34C24112yes—
484C4⋊C4×C17C2416yes—
485C4⋊C4×C17C2416yes—
486C4⋊C4×C17C2416yes—
487C4⋊C4×C17C2416yes—
488C4⋊C4×C17C2416yes—
489C4⋊C4×C17C2413yes—
490C4⋊C4×C17C2411yescharacteristic
491C4⋊C4×C17C2411yescharacteristic
492C4⋊C4×C17C2413yes—
493C22⋊C4×C17C24112yes—
494C22⋊C4×C17C2416yes—
495C22⋊C4×C17C24112yes—
496C22⋊C4×C17C2416yes—
497C22⋊C4×C17C2412yes—
498C42×C17C2413yes—
499C42×C17C2416yes—
500C42×C17C2416yes—
501C42×C17C2413yes—
502C42×C17C2412yes—
503C42×C17C2413yes—
504C42×C17C2413yes—
505C22⋊Dic17C2416yes—
506C22⋊Dic17C2412yes—
507C22⋊Dic17C2416yes—
508C22⋊Dic17C2416yes—
509C22⋊Dic17C2416yes—
510#63227C2416yes—
511#63227C2416yes—
512#63227C2416yes—
513#63227C2416yes—
514#63227C2416yes—
515#63227C2416yes—
516#63227C2416yes—
517#63227C2416yes—
518#63227C2416yes—
519#63227C2416yes—
520#63227C2416yes—
521#63227C24112yes—
522#63227C2416yes—
523#63227C2416yes—
524#63227C2416yes—
525#63227C24112yes—
526C4⋊Dic17C2411yescharacteristic
527C4⋊Dic17C2411yescharacteristic
528C4⋊Dic17C2416yes—
529C4⋊Dic17C2412yes—
530C4⋊Dic17C2412yes—
531C4⋊Dic17C2416yes—
532C4⋊Dic17C2413yes—
533C4⋊Dic17C2416yes—
534C4⋊Dic17C2416yes—
535C4⋊Dic17C2413yes—
536C4⋊Dic17C2416yes—
537#63225C2412yes—
538#63225C2412yes—
539#63225C2412yes—
540#63225C2412yes—
541#63225C2416yes—
542#63225C2416yes—
543#63225C2416yes—
544#63225C2416yes—
545#63225C2416yes—
546#63225C2416yes—
547C4×Dic17C2411yescharacteristic
548C4×Dic17C2411yescharacteristic
549C4×Dic17C2412yes—
550C4×Dic17C2413yes—
551C4×Dic17C2413yes—
552C4×Dic17C2416yes—
553C4×Dic17C2416yes—
554C4×Dic17C2411yescharacteristic
555C4×Dic17C2411yescharacteristic
556C4×Dic17C2413yes—
557C4×Dic17C2413yes—
558C4×Dic17C2413yes—
559C4×Dic17C2413yes—
560C4×Dic17C2413yes—
561C4×Dic17C2413yes—
562#62800—171nomaximal, Sylow
563C23×C17C2516yes—
564C23×C17C2511yescharacteristic
565C22×D17—26no—
566C22×D17—26no—
567C22×D17—224no—
568C22×D17—43no—
569C22×D17—412no—
570C22×D17—412no—
571C22×D17C2513yes—
572C22×D17C2516yes—
573C22×D17C2513yes—
574Q8×C17—26no—
575Q8×C17—26no—
576Q8×C17C2×#4114yescomplemented
577D4×C17—212no—
578D4×C17—212no—
579D4×C17—26no—
580D4×C17—46no—
581C2×C4×C17—26no—
582C2×C4×C17—212no—
583C2×C4×C17—212no—
584C2×C4×C17—43no—
585C2×C4×C17—46no—
586C2×C4×C17H(5,𝔽2)14yescomplemented
587C2×C4×C17C2512yes—
588C2×C4×C17C2512yes—
589C2×C4×C17C2513yes—
590C2×C4×C17C2513yes—
591C2×C4×C17C2516yes—
592C2×C4×C17C2513yes—
593C2×C4×C17C2513yes—
594C2×C4×C17C2511yescharacteristic
595C2×C4×C17C2511yescharacteristic
596C22⋊D17—212no—
597C22⋊D17—212no—
598C22⋊D17—212no—
599C22⋊D17—212no—
600C22⋊D17—412no—
601C22⋊D17—412no—
602C22⋊D17—46no—
603C2×Dic17—26no—
604C2×Dic17—22no—
605C2×Dic17—22no—
606C2×Dic17—412no—
607C2×Dic17C2511yescharacteristic
608C2×Dic17C2511yescharacteristic
609C2×Dic17C2512yes—
610C2×Dic17C2512yes—
611C2×Dic17C2513yes—
612C2×Dic17C2516yes—
613C2×Dic17C2513yes—
614C2×Dic17C2511yescharacteristic
615C2×Dic17C2511yescharacteristic
616D68—212no—
617D68—212no—
618D68—212no—
619D68—26no—
620D68—26no—
621D68—46no—
622D68—412no—
623D68—46no—
624D68C2×#41112yescomplemented
625C4×D17—26no—
626C4×D17—26no—
627C4×D17—212no—
628C4×D17—26no—
629C4×D17—26no—
630C4×D17—26no—
631C4×D17—26no—
632C4×D17—212no—
633C4×D17—26no—
634C4×D17—26no—
635C4×D17—26no—
636C4×D17—43no—
637C4×D17—43no—
638C4×D17—412no—
639C4×D17—412no—
640C4×D17—46no—
641C4×D17C2×#41112yescomplemented
642Dic34—26no—
643Dic34—24no—
644Dic34—24no—
645Dic34—412no—
646#3522—172no—
647#3519—176no—
648#3517—171no—
649#3517—171no—
650#3514—173no—
651#3514—173no—
652#3511—173no—
653#3508—173no—
654#3503—171no—
655#3498—171no—
656#3494—176no—
657#3488—172no—
658#3483—172no—
659#3481—176no—
660#3480—171no—
661#3480D1711yescharacteristic, complemented
662D4×#41—173no—
663D4×#41—173no—
664#3460—176no—
665#3444—173no—
666C2×#532—173no—
667C4×H(5,𝔽2)—172no—
668C2×C4×#41—171no—
669C22×C17—21no—
670C22×C17—21no—
671C22×C17—26no—
672C22×C17—26no—
673C22×C17—26no—
674C22×C17C2×H(5,𝔽2)12yes—
675C22×C17C2611yescharacteristic
676C2×D17—23no—
677C2×D17—23no—
678C2×D17—23no—
679C2×D17—26no—
680C2×D17—23no—
681C2×D17—26no—
682C2×D17—23no—
683C2×D17—26no—
684C2×D17—412no—
685C2×D17—824no—
686C2×D17C22×#4116yes—
687C4×C17—22no—
688C4×C17—23no—
689C4×C17—26no—
690C4×C17—22no—
691C4×C17—23no—
692C4×C17—23no—
693C4×C17C22×#4116yes—
694C4×C17C2×H(5,𝔽2)12yes—
695C4×C17C2×H(5,𝔽2)12yes—
696Dic17—22no—
697Dic17—21no—
698Dic17—26no—
699Dic17—23no—
700Dic17—23no—
701Dic17—22no—
702Dic17—21no—
703Dic17C22×#4112yes—
704Dic17#58512yes—
705C2×H(5,𝔽2)—172no—
706C22×#41—176no—
707C22×#41—171no—
708#559—176no—
709#559—173no—
710#559C2×D1713yescomplemented
711Q82—172no—
712#557—171no—
713#557C2×D1711yescharacteristic, complemented
714#556—173no—
715#556C2×D1713yescomplemented
716#555—176no—
717#555—176no—
718#555—176no—
719#554—176no—
720#554—176no—
721#553—1712no—
722#553—176no—
723#553—176no—
724#553—176no—
725#553C2×D1716yescomplemented
726#551—1712no—
727#551—1712no—
728#550—172no—
729#550—172no—
730#550—173no—
731#550—173no—
732#550—171no—
733#550—172no—
734#550—176no—
735#550C2×D1711yescharacteristic, complemented
736D4×Q8—173no—
737D4×Q8—173no—
738#548—172no—
739#548—176no—
740#548—176no—
741#548C2×D1712yescomplemented
742#547—173no—
743#547—176no—
744#547—176no—
745#547—173no—
746#546—176no—
747#546—176no—
748#546—1712no—
749#546—176no—
750#546—1712no—
751#546—1712no—
752#546—176no—
753D42—173no—
754D42—176no—
755D42—176no—
756D42—176no—
757D42—173no—
758#544—176no—
759#542—1712no—
760#542—176no—
761#542—176no—
762#540—176no—
763#540—1712no—
764#540—176no—
765#538—1712no—
766#538—1712no—
767#537—176no—
768#535—176no—
769#535—176no—
770#533—173no—
771#533—173no—
772#533—171no—
773#532—173no—
774#532—173no—
775#532—173no—
776#532—176no—
777#532—176no—
778#532—176no—
779#532—176no—
780#532—176no—
781#532—173no—
782#532—173no—
783#532—176no—
784#532—173no—
785#532—176no—
786#532C2×D1713yescomplemented
787C2×C4⋊Q8—173no—
788C2×#127—173no—
789#529—173no—
790#529—173no—
791#529—176no—
792#529—176no—
793#529—176no—
794#529—173no—
795#529—173no—
796#529—176no—
797#529—176no—
798#529C2×D1716yescomplemented
799C2×#124—176no—
800#525—173no—
801#525—176no—
802#525—176no—
803#525—1712no—
804#525—173no—
805#525—1712no—
806C2×#121—176no—
807C2×#121—176no—
808#520—172no—
809#520—172no—
810#520—172no—
811#520—176no—
812#518—176no—
813#518—176no—
814#518—176no—
815C4×#41—171no—
816C4×#41—171no—
817C4×#41—173no—
818C4×#41—173no—
819C4×#41—171no—
820C4×#41—173no—
821C4×#41—173no—
822C4×#41—171no—
823C4×#41—172no—
824C4×#41—176no—
825C4×#41—173no—
826C4×#41—176no—
827C4×#41C2×D1712yescomplemented
828C4×#41C2×D1713yescomplemented
829C2×C4×Q8—171no—
830C2×C4×Q8C2×D1711yescharacteristic, complemented
831C2×C4×D4—176no—
832C2×C4×D4—176no—
833C2×C4×D4—176no—
834C2×C4×D4—173no—
835C2×C4×D4—173no—
836C2×C4×D4—176no—
837C2×#117—173no—
838C22×C42—173no—
839C2×C17—22no—
840C2×C17—46no—
841C2×C17C23×#4111yescharacteristic
842C2×C17C22×H(5,𝔽2)11yescharacteristic
843C2×C17C2×#58511yescharacteristic
844D17—26no—
845D17—43no—
846D17—46no—
847H(5,𝔽2)—3416no—
848C2×#41—171no—
849C2×#41—173no—
850C2×#41—173no—
851C2×#41—171no—
852C2×#41—172no—
853C2×#41—176no—
854C2×#41—1712no—
855C2×#41—176no—
856C2×#41—176no—
857C2×#41—173no—
858C2×#41—176no—
859C2×#41—1712no—
860C2×#41—348no—
861C2×#41—6824no—
862C2×#41C22×D1712yes—
863C2×#41C22×D1713yes—
864C22×Q8—176no—
865C22×Q8C22×D1711yescharacteristic
866C22×D4—176no—
867C22×D4—176no—
868C22×D4—176no—
869C22×D4—1712no—
870C22×D4—176no—
871C22×D4—173no—
872C22×D4—176no—
873C23×C4—173no—
874C23×C4—173no—
875C23×C4—1712no—
876C23×C4—173no—
877C4⋊Q8—173no—
878C4⋊Q8—176no—
879C4⋊Q8—176no—
880C4⋊Q8—171no—
881C4⋊Q8—171no—
882C4⋊Q8—176no—
883C4⋊Q8—173no—
884C4⋊Q8—176no—
885C4⋊Q8C22×D1713yes—
886#127—173no—
887#127—176no—
888#127—176no—
889#127—176no—
890#127—173no—
891#127—176no—
892#127C22×D1713yes—
893#126—176no—
894#126—176no—
895#126—1712no—
896#126—176no—
897#126—176no—
898#126C22×D17112yes—
899#125—171no—
900#125—171no—
901#125—176no—
902#125—176no—
903#125—176no—
904#125C22×D1716yes—
905#124—173no—
906#124—176no—
907#124—173no—
908#124—1712no—
909#124—1712no—
910#124—176no—
911#124—176no—
912#124—1712no—
913#124—176no—
914#124—1712no—
915#124C22×D1716yes—
916#124C22×D1716yes—
917#123—176no—
918#123—176no—
919#123—176no—
920#123—1712no—
921#123—1712no—
922#123—176no—
923#123—176no—
924#123—176no—
925#123—1712no—
926#123—1712no—
927#123—1712no—
928#123C22×D17112yes—
929C22⋊Q8—173no—
930C22⋊Q8—173no—
931C22⋊Q8—176no—
932C22⋊Q8—176no—
933C22⋊Q8—173no—
934C22⋊Q8—176no—
935C22⋊Q8—173no—
936C22⋊Q8—1712no—
937C22⋊Q8—1712no—
938C22⋊Q8—1712no—
939C22⋊Q8—172no—
940C22⋊Q8—172no—
941C22⋊Q8—1712no—
942C22⋊Q8C22×D1716yes—
943#121—176no—
944#121—176no—
945#121—176no—
946#121—176no—
947#121—173no—
948#121—173no—
949#121—1712no—
950#121—176no—
951#121—176no—
952#121—176no—
953#121—176no—
954#121—176no—
955#121—1712no—
956#121—176no—
957#121—176no—
958#121—173no—
959#121—173no—
960#121—1712no—
961#121—1712no—
962#121—176no—
963#121—176no—
964#121—1712no—
965#121—1712no—
966#121—176no—
967#121—176no—
968#121—1712no—
969#121—1712no—
970#121C22×D1716yes—
971#121C22×D1716yes—
972#121C22×D1716yes—
973#120—176no—
974#120—1712no—
975#120—176no—
976#120—1712no—
977#120—1712no—
978#120—1712no—
979C4×Q8—171no—
980C4×Q8—173no—
981C4×Q8—171no—
982C4×Q8—173no—
983C4×Q8—172no—
984C4×Q8—172no—
985C4×Q8—172no—
986C4×Q8—176no—
987C4×Q8—173no—
988C4×Q8—173no—
989C4×Q8—176no—
990C4×Q8C22×D1711yescharacteristic
991C4×Q8C22×D1713yes—
992C4×Q8C22×D1711yescharacteristic
993C4×Q8C22×D1713yes—
994C4×Q8C22×D1712yes—
995C4×Q8C22×D1713yes—
996C4×Q8C22×D1713yes—
997C4×D4—176no—
998C4×D4—176no—
999C4×D4—176no—
1000C4×D4—176no—
1001C4×D4—176no—
1002C4×D4—176no—
1003C4×D4—176no—
1004C4×D4—176no—
1005C4×D4—176no—
1006C4×D4—176no—
1007C4×D4—176no—
1008C4×D4—176no—
1009C4×D4—176no—
1010C4×D4—173no—
1011C4×D4—176no—
1012C4×D4—173no—
1013C4×D4—173no—
1014C4×D4—176no—
1015C4×D4—173no—
1016C4×D4—176no—
1017C4×D4—176no—
1018C4×D4—176no—
1019C4×D4—176no—
1020C4×D4—1712no—
1021C4×D4—1712no—
1022C4×D4—1712no—
1023C4×D4—173no—
1024C4×D4—176no—
1025C4×D4—176no—
1026C4×D4—176no—
1027C4×D4—173no—
1028C4×D4—173no—
1029C4×D4—176no—
1030C4×D4—173no—
1031C4×D4—176no—
1032C4×D4—1712no—
1033C4×D4—176no—
1034C4×D4—176no—
1035C4×D4—176no—
1036C4×D4—176no—
1037C4×D4—176no—
1038C4×D4—173no—
1039C4×D4—173no—
1040C4×D4C22×D1716yes—
1041C4×D4C22×D1716yes—
1042C4×D4C22×D1716yes—
1043C4×D4C22×D1716yes—
1044C4×D4C22×D1716yes—
1045C4×D4C22×D1713yes—
1046C4×D4C22×D1713yes—
1047#117—171no—
1048#117—176no—
1049#117—176no—
1050#117—173no—
1051#117—173no—
1052#117—176no—
1053#117—176no—
1054#117—173no—
1055#117—173no—
1056#117—176no—
1057#117—176no—
1058#117—176no—
1059#117—176no—
1060#117—176no—
1061#117—176no—
1062#117C22×D1711yescharacteristic
1063#117C22×D1716yes—
1064#117C22×D1716yes—
1065C2×C4⋊C4—173no—
1066C2×C4⋊C4—176no—
1067C2×C4⋊C4—176no—
1068C2×C4⋊C4—176no—
1069C2×C4⋊C4—176no—
1070C2×C4⋊C4C22×D1713yes—
1071C2×C22⋊C4—176no—
1072C2×C22⋊C4—1712no—
1073C2×C22⋊C4—1712no—
1074C2×C22⋊C4—1712no—
1075C2×C22⋊C4—1712no—
1076C2×C42—173no—
1077C2×C42—173no—
1078C2×C42—171no—
1079C2×C42—173no—
1080C2×C42—173no—
1081C2×C42—176no—
1082C2×C42—173no—
1083C2×C42—173no—
1084C2×C42—173no—
1085C2×C42—173no—
1086C2×C42—173no—
1087C2×C42—173no—
1088C2×C42C22×D1713yes—
1089C2×C42C22×D1716yes—
1090C17#6280011yescharacteristic, complemented, Sylow
1091C24—173no—
1092C24—1712no—
1093#41—28no—
1094#41—212no—
1095#41—178no—
1096#41—3424no—
1097#41—3412no—
1098#41—3412no—
1099#41—344no—
1100#41—348no—
1101#41—3412no—
1102#41—6824no—
1103#41—6812no—
1104#41—6824no—
1105#41—6812no—
1106#41—6812no—
1107C2×Q8—24no—
1108C2×Q8—172no—
1109C2×Q8—172no—
1110C2×Q8—173no—
1111C2×Q8—1712no—
1112C2×Q8—6812no—
1113C2×Q8C23×D1713yes—
1114C2×Q8C23×D1713yes—
1115C2×Q8C23×D1711yescharacteristic
1116C2×D4—176no—
1117C2×D4—176no—
1118C2×D4—176no—
1119C2×D4—176no—
1120C2×D4—176no—
1121C2×D4—1712no—
1122C2×D4—1712no—
1123C2×D4—173no—
1124C2×D4—176no—
1125C2×D4—176no—
1126C2×D4—176no—
1127C2×D4—173no—
1128C2×D4—173no—
1129C2×D4—176no—
1130C2×D4—176no—
1131C2×D4—1712no—
1132C2×D4—3412no—
1133C2×D4—3424no—
1134C2×D4—3424no—
1135C2×D4—3424no—
1136C2×D4—6812no—
1137C2×D4—6812no—
1138C2×D4—6824no—
1139C2×D4C23×D1716yes—
1140C2×D4C23×D1716yes—
1141C2×D4C23×D1713yes—
1142C2×D4C23×D1716yes—
1143C22×C4—173no—
1144C22×C4—171no—
1145C22×C4—171no—
1146C22×C4—173no—
1147C22×C4—1712no—
1148C22×C4—173no—
1149C22×C4—173no—
1150C22×C4—173no—
1151C22×C4—173no—
1152C22×C4—173no—
1153C22×C4—173no—
1154C22×C4—173no—
1155C22×C4—176no—
1156C22×C4—173no—
1157C22×C4—173no—
1158C22×C4—176no—
1159C22×C4—173no—
1160C22×C4—173no—
1161C22×C4—176no—
1162C22×C4—1712no—
1163C22×C4—1712no—
1164C22×C4—3412no—
1165C22×C4—3412no—
1166C22×C4—6824no—
1167C22×C4—686no—
1168C22×C4C23×D1713yes—
1169C22×C4C23×D1716yes—
1170C22×C4C23×D1716yes—
1171C22×C4C23×D1713yes—
1172C22×C4C23×D1716yes—
1173C22×C4C23×D1711yescharacteristic
1174C4⋊C4—173no—
1175C4⋊C4—176no—
1176C4⋊C4—176no—
1177C4⋊C4—176no—
1178C4⋊C4—176no—
1179C4⋊C4—176no—
1180C4⋊C4—173no—
1181C4⋊C4—176no—
1182C4⋊C4—176no—
1183C4⋊C4—172no—
1184C4⋊C4—172no—
1185C4⋊C4—172no—
1186C4⋊C4—172no—
1187C4⋊C4—172no—
1188C4⋊C4—172no—
1189C4⋊C4—171no—
1190C4⋊C4—171no—
1191C4⋊C4—176no—
1192C4⋊C4—176no—
1193C4⋊C4—176no—
1194C4⋊C4—176no—
1195C4⋊C4C23×D1716yes—
1196C4⋊C4C23×D1716yes—
1197C4⋊C4C23×D1713yes—
1198C4⋊C4C23×D1713yes—
1199C4⋊C4C23×D1716yes—
1200C4⋊C4C23×D1711yescharacteristic
1201C4⋊C4C23×D1711yescharacteristic
1202C4⋊C4C23×D1716yes—
1203C4⋊C4C23×D1716yes—
1204C22⋊C4—176no—
1205C22⋊C4—176no—
1206C22⋊C4—176no—
1207C22⋊C4—172no—
1208C22⋊C4—176no—
1209C22⋊C4—176no—
1210C22⋊C4—176no—
1211C22⋊C4—176no—
1212C22⋊C4—176no—
1213C22⋊C4—176no—
1214C22⋊C4—176no—
1215C22⋊C4—1712no—
1216C22⋊C4—176no—
1217C22⋊C4—176no—
1218C22⋊C4—176no—
1219C22⋊C4—1712no—
1220C22⋊C4—176no—
1221C22⋊C4—176no—
1222C22⋊C4—176no—
1223C22⋊C4—176no—
1224C22⋊C4—176no—
1225C22⋊C4C23×D17112yes—
1226C22⋊C4C23×D17112yes—
1227C22⋊C4C23×D1712yes—
1228C22⋊C4C23×D1716yes—
1229C22⋊C4C23×D1716yes—
1230C42—171no—
1231C42—171no—
1232C42—173no—
1233C42—173no—
1234C42—173no—
1235C42—173no—
1236C42—173no—
1237C42—173no—
1238C42—173no—
1239C42—173no—
1240C42—176no—
1241C42—176no—
1242C42—171no—
1243C42—171no—
1244C42—172no—
1245C42C23×D1713yes—
1246C42C23×D1713yes—
1247C42C23×D1716yes—
1248C42C23×D1716yes—
1249C42C23×D1713yes—
1250C42C23×D1713yes—
1251C42C23×D1712yes—
1252C23—173no—
1253C23—176no—
1254C23—173no—
1255C23—346no—
1256C23—3424no—
1257C23—346no—
1258C23—683no—
1259C23—6812no—
1260C23—6812no—
1261C23C24×D1716yes—
1262C23C24×D1711yescharacteristic
1263Q8—26no—
1264Q8—26no—
1265Q8—344no—
1266Q8—344no—
1267Q8—346no—
1268Q8—6812no—
1269Q8#41×D1714yescomplemented
1270D4—212no—
1271D4—212no—
1272D4—26no—
1273D4—46no—
1274D4—1712no—
1275D4—3412no—
1276D4—3412no—
1277D4—3412no—
1278D4—3412no—
1279D4—3412no—
1280D4—3412no—
1281D4—3412no—
1282D4—346no—
1283D4—346no—
1284D4—6812no—
1285D4—686no—
1286D4—686no—
1287D4—6812no—
1288D4—6812no—
1289D4—686no—
1290C2×C4—26no—
1291C2×C4—212no—
1292C2×C4—212no—
1293C2×C4—43no—
1294C2×C4—46no—
1295C2×C4—171no—
1296C2×C4—171no—
1297C2×C4—1712no—
1298C2×C4—171no—
1299C2×C4—171no—
1300C2×C4—172no—
1301C2×C4—172no—
1302C2×C4—173no—
1303C2×C4—173no—
1304C2×C4—176no—
1305C2×C4—346no—
1306C2×C4—346no—
1307C2×C4—346no—
1308C2×C4—346no—
1309C2×C4—342no—
1310C2×C4—342no—
1311C2×C4—346no—
1312C2×C4—346no—
1313C2×C4—3412no—
1314C2×C4—346no—
1315C2×C4—346no—
1316C2×C4—346no—
1317C2×C4—346no—
1318C2×C4—3412no—
1319C2×C4—6812no—
1320C2×C4—6812no—
1321C2×C4—683no—
1322C2×C4—683no—
1323C2×C4—686no—
1324C2×C4—6812no—
1325C2×C4#1058769614yescomplemented
1326C2×C4C24×D1713yes—
1327C2×C4C24×D1713yes—
1328C2×C4C24×D1713yes—
1329C2×C4C24×D1712yes—
1330C2×C4C24×D1712yes—
1331C2×C4C24×D1716yes—
1332C2×C4C24×D1713yes—
1333C2×C4C24×D1711yescharacteristic
1334C2×C4C24×D1711yescharacteristic
1335C22—21no—
1336C22—21no—
1337C22—26no—
1338C22—26no—
1339C22—26no—
1340C22—176no—
1341C22—343no—
1342C22—343no—
1343C22—343no—
1344C22—346no—
1345C22—343no—
1346C22—346no—
1347C22—343no—
1348C22—346no—
1349C22—6812no—
1350C22—13624no—
1351C22C2×#1058769612yes—
1352C22C25×D1711yescharacteristic
1353C4—22no—
1354C4—23no—
1355C4—26no—
1356C4—23no—
1357C4—22no—
1358C4—23no—
1359C4—172no—
1360C4—172no—
1361C4—341no—
1362C4—342no—
1363C4—343no—
1364C4—343no—
1365C4—346no—
1366C4—341no—
1367C4—342no—
1368C4C2×#41×D1716yes—
1369C4C2×#1058769612yes—
1370C4C2×#1058769612yes—
1371C2—22no—
1372C2—46no—
1373C2—346no—
1374C2—683no—
1375C2—686no—
1376C2C22×#41×D1711yescharacteristic
1377C2C22×#1058769611yescharacteristic
1378C2D17×#58511yescharacteristic
subgroupG/H
centerC2×C4C24×D17
commutator, socle, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC17×#3480C2
hypercenter#3480D17
hypocenterC17#62800
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #14542860C2semidirect
2. #14542812C2semidirect
3. #14542791C2semidirect
4. #14542785C2semidirect
5. #14542748C2semidirect
6. #14542744C2semidirect
7. #14542688C2semidirect
8. #14542657C2semidirect
9. #14542601C2semidirect
10. #14542561C2semidirect
11. #14542515C2semidirect
12. #14542450C2semidirect
13. #14542410C2semidirect
14. #14542390C2semidirect
15. #14542379C2semidirect
16. #41×D68C2semidirect
17. #14542270C2semidirect
18. #14542205C2semidirect
19. #14542077C2semidirect
20. D17×#532C2semidirect
21. C4×#10587696C2semidirect
22. C2×C4×#63256C2semidirect
23. C17×#3480C2semidirect
26. C2×#41×D17C22semidirect
27. #11763544C22semidirect
28. #11763541C22semidirect
29. Q8×Dic34C22semidirect
30. #11763538C22semidirect
31. #11763532C22semidirect
32. #11763524C22semidirect
33. #11763522C22semidirect
34. #11763522C22semidirect
35. #11763517C22semidirect
36. #11763515C22semidirect
37. #11763512C22semidirect
38. #11763511C22semidirect
39. #11763510C22semidirect
40. #11763507C22semidirect
41. #11763484C22semidirect
42. #11763482C22semidirect
43. #11763481C22semidirect
44. #11763481C22semidirect
45. #11763481C22semidirect
46. #11763480C22semidirect
47. #11763479C22semidirect
48. #11763478C22semidirect
49. #11763478C22semidirect
50. Q8×D68C22semidirect
51. #11763474C22semidirect
52. #11763471C22semidirect
53. #11763470C22semidirect
54. #11763467C22semidirect
55. #11763463C22semidirect
56. #11763463C22semidirect
57. #11763462C22semidirect
58. #11763459C22semidirect
59. #11763454C22semidirect
60. #11763454C22semidirect
61. #11763452C22semidirect
62. #11763452C22semidirect
63. #11763451C22semidirect
64. #11763450C22semidirect
65. #11763448C22semidirect
66. D4×D68C22semidirect
67. D4×D68C22semidirect
68. #11763444C22semidirect
69. #11763443C22semidirect
70. #11763443C22semidirect
71. #11763439C22semidirect
72. #11763432C22semidirect
73. #11763428C22semidirect
74. #11763425C22semidirect
75. #11763415C22semidirect
76. #11763412C22semidirect
77. #11763411C22semidirect
78. #11763398C22semidirect
79. #11763395C22semidirect
80. #11763389C22semidirect
81. #11763377C22semidirect
82. #11763375C22semidirect
83. #11763363C22semidirect
84. #11763363C22semidirect
85. #11763362C22semidirect
86. #11763360C22semidirect
87. #11763359C22semidirect
88. #11763359C22semidirect
89. #11763358C22semidirect
90. #11763357C22semidirect
91. #11763356C22semidirect
92. #11763356C22semidirect
93. #11763356C22semidirect
94. #11763356C22semidirect
95. #11763356C22semidirect
96. #11763355C22semidirect
97. #11763354C22semidirect
98. #11763354C22semidirect
99. C4⋊Q8×D17C22semidirect
100. #127×D17C22semidirect
101. #11763346C22semidirect
102. #11763346C22semidirect
103. #11763346C22semidirect
104. #11763341C22semidirect
105. #11763341C22semidirect
106. #11763339C22semidirect
107. #11763339C22semidirect
108. #11763337C22semidirect
109. #11763337C22semidirect
110. #124×D17C22semidirect
111. #11763321C22semidirect
112. #11763321C22semidirect
113. #11763318C22semidirect
114. #11763318C22semidirect
115. #11763318C22semidirect
116. #11763316C22semidirect
117. #121×D17C22semidirect
118. #121×D17C22semidirect
119. #11763292C22semidirect
121. #11763291C22semidirect
122. #11763289C22semidirect
123. #11763283C22semidirect
124. #11763281C22semidirect
125. #11763281C22semidirect
128. C4×#63256C22semidirect
129. C4×#63256C22semidirect
130. C4×#63256C22semidirect
131. C4×#63256C22semidirect
132. C4×#63256C22semidirect
133. C4×#63256C22semidirect
134. C4×#63256C22semidirect
135. C4×#63252C22semidirect
136. C4×#63252C22semidirect
137. C4×#63252C22semidirect
138. C2×Q8×Dic17C22semidirect
139. C2×C4×D68C22semidirect
140. C2×C4×D68C22semidirect
141. C2×#10587579C22semidirect
142. C4×D4×D17C22semidirect
143. C4×D4×D17C22semidirect
144. C4×D4×D17C22semidirect
145. C2×#10587578C22semidirect
146. C2×C42×D17C22semidirect
147. C17×#559C22semidirect
148. C17×#557C22semidirect
149. C17×#556C22semidirect
150. C17×#553C22semidirect
151. C17×#550C22semidirect
152. C17×#548C22semidirect
153. C17×#532C22semidirect
154. C17×#529C22semidirect
155. C4×#41×C17C22semidirect
156. C4×#41×C17C22semidirect
157. C2×C4×Q8×C17C22semidirect
435. #63256#41semidirect
576. Q8×C17C2×#41semidirect
586. C2×C4×C17H(5,𝔽2)semidirect
624. D68C2×#41semidirect
641. C4×D17C2×#41semidirect
661. #3480D17semidirect
710. #559C2×D17semidirect
713. #557C2×D17semidirect
715. #556C2×D17semidirect
725. #553C2×D17semidirect
735. #550C2×D17semidirect
741. #548C2×D17semidirect
786. #532C2×D17semidirect
798. #529C2×D17semidirect
827. C4×#41C2×D17semidirect
828. C4×#41C2×D17semidirect
830. C2×C4×Q8C2×D17semidirect
1090. C17#62800semidirect
1269. Q8#41×D17semidirect
1325. C2×C4#10587696semidirect

Maximal subgroups

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

subgroupindex
#145428602
#145428122
#145427912
#145427852
#145427482
#145427442
#145426882
#145426572
#145426012
#145425612
#145425152
#145424502
#145424102
#145423902
#145423792
#41×D682
#145422702
#145422052
#145420772
D17×#5322
C4×#105876962
C2×C4×#632562
C17×#34802
#6280017