Finite Group Databasebeta

← #17979478

Subgroups — #17979478

Order 4352.

4892 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545764C212yesmaximal, complemented
2#14545386C212yesmaximal, complemented
3#14545385C212yesmaximal, complemented
4#14545384C216yesmaximal, complemented
5#14545383C216yesmaximal, complemented
6D17⋊#410C216yesmaximal, complemented
7C2×#11763788C216yesmaximal, complemented
8C2×#11763645C211yesmaximal, characteristic
9#11763878—28no—
10#11763877C2214yescomplemented
11#11763876C22112yescomplemented
12#41×#595—28no—
13C2×#10587677C22112yescomplemented
14#11763790C22112yescomplemented
15#11763789C22112yescomplemented
16#11763788C2214yescomplemented
17#11763788C22112yescomplemented
18#11763788C22112yescomplemented
19#11763788C22112yescomplemented
20C2×#10587539C22112yescomplemented
21D17⋊#99C22124yescomplemented
22C2×#10587551C22112yescomplemented
23#11763645—28no—
24#11763645—28no—
25C2×#10587694C411yescharacteristic, complemented
26C2×#10587694C2211yescharacteristic
27C2×#10587697C413yescomplemented
28C2×#10587697C2211yescharacteristic
29C2×#10587696C411yescharacteristic, complemented
30C2×#10587696C2213yes—
31C2×#10587691C413yescomplemented
32C2×#10587691C2213yes—
33C22×#63252C413yescomplemented
34C22×#63252C2213yes—
35C2×#41×D17C413yescomplemented
36C2×#41×D17C411yescharacteristic, complemented
37C2×#41×D17C2213yes—
38C2×#41×D17C2211yescharacteristic
39C22×#41×C17C411yescharacteristic, complemented
40C2×#41×C17—24no—
41C2×#41×C17—24no—
42C2×#41×C17C2×C411yescharacteristic
43C2×#41×C17C2×C413yescomplemented
44C2×#41×C17C2×C411yescharacteristic, complemented
45C2×#41×C17C2×C413yescomplemented
46C22×Q8×C17C2×C411yescharacteristic, complemented
47C22×D4×C17C2×C413yescomplemented
48C23×C4×C17C2×C413yescomplemented
49C22×C22⋊D17C2×C416yescomplemented
50C22×C22⋊D17C2×C413yescomplemented
51C22×C22⋊D17C2313yes—
52#10587697—28no—
53#10587697—224no—
54#10587696—28no—
55#10587696—224no—
56#41×D17—24no—
57#41×D17—24no—
58#41×D17—212no—
59#41×D17—212no—
60#41×D17—212no—
61#41×D17—212no—
62#41×D17D418yes—
63#41×D17D418yes—
64#10587694—28no—
65#10587694—28no—
66C2×#63256C2×C411yescharacteristic
67C2×#63256C2×C411yescharacteristic, complemented
68C2×#63256C2×C413yescomplemented
69C2×#63256C2313yes—
70C2×Q8×D17C2×C413yescomplemented
71C2×Q8×D17C2×C411yescharacteristic, complemented
72C2×Q8×D17C2×C413yescomplemented
73C2×Q8×D17C2311yescharacteristic
74#10587691—224no—
75#10587691—224no—
76C2×#63254C2×C413yes—
77C2×#63254C2×C413yescomplemented
78C2×#63254C2×C413yescomplemented
79C2×#63254C2×C416yescomplemented
80C2×#63254C2×C416yescomplemented
81C2×#63254C2313yes—
82C2×D4×D17C2×C416yescomplemented
83C2×D4×D17C2×C413yescomplemented
84C2×D4×D17C2×C413yescomplemented
85C2×D4×D17C2×C413yescomplemented
86C2×D4×D17C2316yes—
87C2×D4×D17C2313yes—
88C2×#63252—212no—
89C2×#63252—212no—
90C2×#63252—212no—
91C2×#63252—212no—
92C2×#63252C2×C413yes—
93C2×#63252C2×C413yescomplemented
94C2×#63252C2×C413yescomplemented
95C2×#63252C2×C413yescomplemented
96C2×#63252C2×C413yescomplemented
97C2×#63252C2×C413yescomplemented
98C2×#63252C2×C416yescomplemented
99C2×#63252C2×C413yescomplemented
100C2×#63252C2×C413yescomplemented
101C2×#63252C2313yes—
102C2×#63252C2311yescharacteristic
103C2×#63252C2313yes—
104C2×#63252C2313yes—
105C22×D68C2×C413yescomplemented
106C22×D68C2313yes—
107C22×C4×D17C2×C413yescomplemented
108C22×C4×D17C2×C416yescomplemented
109C22×C4×D17C2313yes—
110C22×Dic34C2×C413yescomplemented
111C22×Dic34C2×C413yescomplemented
112C2×C22⋊#595C23124yes—
113Q8×#595—216no—
114D4×#595—248no—
115#10587677—212no—
116#10587677—212no—
117#10587677C2318yes—
118#10587677C23124yes—
119C2×C4⋊#595—212no—
120C2×C4×#595—212no—
121#10587551C2318yes—
122#10587551C23124yes—
123#10587539C23124yes—
124#10587539C2318yes—
125C24×C17C22×C413yes—
126C23×D17C22×C416yes—
127C23×D17C22×C413yes—
128C23×D17C2413yes—
129C22×#595—224no—
130#41×C17—24no—
131#41×C17—212no—
132#41×C17—26no—
133#41×C17—26no—
134#41×C17C22⋊C414yes—
135#41×C17C22⋊C414yes—
136C2×Q8×C17—24no—
137C2×Q8×C17C22×C413yes—
138C2×Q8×C17C22×C411yescharacteristic
139C2×D4×C17—212no—
140C2×D4×C17C22×C413yes—
141C2×D4×C17C22×C416yes—
142C2×D4×C17C22×C413yes—
143C22×C4×C17—26no—
144C22×C4×C17—26no—
145C22×C4×C17C22×C413yes—
146C22×C4×C17C22×C413yes—
147C22×C4×C17C22×C413yes—
148C22×C4×C17C22×C411yescharacteristic
149C22×C4×C17C22×C413yes—
150C22×C4×C17C22×C413yes—
151C2×C22⋊D17—212no—
152C2×C22⋊D17—224no—
153C2×C22⋊D17—212no—
154C2×C22⋊D17C22×C413yes—
155C2×C22⋊D17C22×C413yes—
156C2×C22⋊D17C22×C411yescharacteristic
157C2×C22⋊D17C22×C413yes—
158C2×C22⋊D17C22×C416yes—
159C2×C22⋊D17C22×C413yes—
160C2×C22⋊D17C22×C413yes—
161C2×C22⋊D17C22×C416yes—
162C2×C22⋊D17C2411yescharacteristic
163C2×C22⋊D17C2413yes—
164C22×Dic17C22×C413yes—
165C22×Dic17C22×C416yes—
166C22×Dic17C22×C413yes—
167#63256—24no—
168#63256—212no—
169#63256—212no—
170#63256C22⋊C418yes—
171Q8×D17—24no—
172Q8×D17—212no—
173Q8×D17—212no—
174Q8×D17C2×D418yes—
175#63254—212no—
176#63254—224no—
177#63254—224no—
178#63254—212no—
179#63254—212no—
180#63254C22⋊C4124yes—
181D4×D17—224no—
182D4×D17—212no—
183D4×D17—224no—
184D4×D17—212no—
185D4×D17—212no—
186D4×D17C2×D4124yes—
187#63252—26no—
188#63252—26no—
189#63252—224no—
190#63252—212no—
191#63252—26no—
192#63252—26no—
193#63252—212no—
194#63252—26no—
195#63252—26no—
196#63252—212no—
197#63252—22no—
198#63252—22no—
199#63252—212no—
200#63252—26no—
201#63252—26no—
202#63252—212no—
203#63252—212no—
204#63252C22⋊C4112yes—
205#63252C22⋊C4112yes—
206C2×D68—212no—
207C2×D68—212no—
208C2×D68C22×C413yes—
209C2×D68C22×C413yes—
210C2×D68C22×C413yes—
211C2×D68C22×C413yes—
212C2×D68C2411yescharacteristic
213C2×D68C2413yes—
214C2×C4×D17—26no—
215C2×C4×D17—26no—
216C2×C4×D17—212no—
217C2×C4×D17—212no—
218C2×C4×D17C22×C411yescharacteristic
219C2×C4×D17C22×C413yes—
220C2×C4×D17C22×C416yes—
221C2×C4×D17C22×C416yes—
222C2×C4×D17C22×C413yes—
223C2×C4×D17C22×C413yes—
224C2×C4×D17C22×C413yes—
225C2×C4×D17C22×C413yes—
226C2×C4×D17C2×D4112yes—
227C2×C4×D17C2×D4112yes—
228C2×C4×D17C2411yescharacteristic
229C2×C4×D17C2413yes—
230C2×Dic34—212no—
231C2×Dic34—212no—
232C2×Dic34C22×C413yes—
233C2×Dic34C22×C411yescharacteristic
234C2×Dic34C22×C413yes—
235C2×Dic34C22×C413yes—
236C2×Dic34C22×C413yes—
237C2×Dic34C22×C413yes—
238C22⋊#595—224no—
239C22⋊#595C24116yes—
240C4⋊#595—28no—
241C4⋊#595—224no—
242C4×#595—28no—
243C4×#595—224no—
244#60070—171nomaximal, Sylow
245C23×C17—26no—
246C23×C17—83no—
247C23×C17C23×C413yes—
248C23×C17C23×C411yescharacteristic
249C23×C17C23×C413yes—
250C22×D17—26no—
251C22×D17—212no—
252C22×D17—83no—
253C22×D17—86no—
254C22×D17—83no—
255C22×D17C23×C413yes—
256C22×D17C23×C411yescharacteristic
257C22×D17C23×C413yes—
258C22×D17C22×D4112yes—
259C22×D17C2511yescharacteristic
260C2×#595—216no—
261C2×#595—824no—
262Q8×C17—26no—
263Q8×C17C2×C22⋊C414yes—
264D4×C17—212no—
265D4×C17—26no—
266D4×C17C2×C22⋊C4112yes—
267C2×C4×C17—26no—
268C2×C4×C17—26no—
269C2×C4×C17—23no—
270C2×C4×C17—23no—
271C2×C4×C17—21no—
272C2×C4×C17—21no—
273C2×C4×C17—26no—
274C2×C4×C17C2×C22⋊C416yes—
275C2×C4×C17C2×C22⋊C416yes—
276C2×C4×C17C23×C411yescharacteristic
277C2×C4×C17C23×C413yes—
278C2×C4×C17C23×C413yes—
279C2×C4×C17C23×C411yescharacteristic
280C22⋊D17—212no—
281C22⋊D17—26no—
282C22⋊D17—26no—
283C22⋊D17—22no—
284C22⋊D17—26no—
285C22⋊D17—22no—
286C22⋊D17—26no—
287C22⋊D17—26no—
288C22⋊D17—26no—
289C22⋊D17C2×C22⋊C4124yes—
290C2×Dic17—26no—
291C2×Dic17—212no—
292C2×Dic17C2×C22⋊C4112yes—
293C2×Dic17C23×C413yes—
294C2×Dic17C23×C411yescharacteristic
295C2×Dic17C23×C411yescharacteristic
296C2×Dic17C23×C413yes—
297D68—26no—
298D68—26no—
299D68—22no—
300D68—26no—
301D68—26no—
302D68C2×C22⋊C4112yes—
303C4×D17—212no—
304C4×D17—21no—
305C4×D17—23no—
306C4×D17—21no—
307C4×D17—23no—
308C4×D17—26no—
309C4×D17—26no—
310C4×D17—212no—
311C4×D17C2×C22⋊C416yes—
312C4×D17C2×C22⋊C416yes—
313C4×D17C2×C22⋊C4112yes—
314C4×D17C22×D412yes—
315C4×D17C22×D4112yes—
316C4×D17C22×D412yes—
317Dic34—26no—
318Dic34—22no—
319Dic34—26no—
320Dic34—26no—
321Dic34—26no—
322Dic34C2×C22⋊C4112yes—
323C2×#585—171no—
324#3428—172no—
325#2884—172no—
326#2884—172no—
327#2883—176no—
328#2883—176no—
329C2×#410—176no—
330C2×#410—176no—
331C22×C17—23no—
332C22×C17—21no—
333C22×C17—43no—
334C22×C17—43no—
335C22×C17—41no—
336C22×C17—86no—
337C22×C17C22×C22⋊C416yes—
338C22×C17C24×C411yescharacteristic
339C2×D17—21no—
340C2×D17—23no—
341C2×D17—412no—
342C2×D17—43no—
343C2×D17—41no—
344C2×D17—43no—
345C2×D17—41no—
346C2×D17—812no—
347C2×D17—86no—
348C2×D17C22×C22⋊C416yes—
349C2×D17C23×D412yes—
350#595—416no—
351C4×C17—21no—
352C4×C17—23no—
353C4×C17C22×C22⋊C416yes—
354C4×C17C22×C22⋊C411yescharacteristic
355C4×C17C22×C22⋊C411yescharacteristic
356Dic17—23no—
357Dic17—21no—
358Dic17C22×C22⋊C412yes—
359Dic17C22×C22⋊C416yes—
360#585—348no—
361#585—348no—
362C2×2−1+4—171no—
363C2×2−1+4—173no—
364C2×2−1+4—171no—
365C2×2−1+4—171no—
366C2×H(5,𝔽2)—173no—
367C2×H(5,𝔽2)—171no—
368C2×H(5,𝔽2)—173no—
369C2×H(5,𝔽2)—173no—
370C22×#41—171no—
371C22×#41—171no—
372C22×#41—173no—
373C22×#41—173no—
374C22×#41—173no—
375C22×#41—173no—
376C22×#41#59511yescharacteristic, complemented
377#520—348no—
378#519—174no—
379#518—1712no—
380C4×#41—348no—
381C2×#117—1712no—
382#410—174no—
383#410—1712no—
384#410—1712no—
385#410—1712no—
386#410—1712no—
387#410—1712no—
388C2×#99—1712no—
389C2×#99—1724no—
390C2×#99—1712no—
391C2×C17—21no—
392C2×C17—26no—
393C2×C17—43no—
394C2×C17—41no—
395C2×C17C23×C22⋊C411yescharacteristic
396D17—22no—
397D17—26no—
398D17—43no—
399D17—41no—
4002−1+4—348no—
4012−1+4—348no—
4022−1+4—348no—
4032−1+4—3424no—
404H(5,𝔽2)—3424no—
405H(5,𝔽2)—3424no—
406H(5,𝔽2)—3424no—
407H(5,𝔽2)—348no—
408C2×#41—24no—
409C2×#41—24no—
410C2×#41—178no—
411C2×#41—178no—
412C2×#41—171no—
413C2×#41—173no—
414C2×#41—171no—
415C2×#41—173no—
416C2×#41—173no—
417C2×#41—176no—
418C2×#41—176no—
419C2×#41—173no—
420C2×#41—173no—
421C2×#41—173no—
422C2×#41—173no—
423C2×#41—173no—
424C2×#41—173no—
425C2×#41—173no—
426C2×#41—173no—
427C2×#41—173no—
428C2×#41—176no—
429C2×#41—173no—
430C2×#41—173no—
431C2×#41—173no—
432C2×#41—171no—
433C2×#41—173no—
434C2×#41—173no—
435C2×#41—3412no—
436C2×#41—3412no—
437C2×#41—3412no—
438C2×#41—3412no—
439C2×#41—3412no—
440C2×#41—3412no—
441C2×#41—3412no—
442C2×#41—3412no—
443C2×#41—344no—
444C2×#41—344no—
445C2×#41C2×#59511yescharacteristic
446C2×#41C2×#59513yescomplemented
447C2×#41C2×#59511yescharacteristic, complemented
448C2×#41C2×#59513yescomplemented
449C22×Q8—171no—
450C22×Q8—173no—
451C22×Q8—173no—
452C22×Q8—171no—
453C22×Q8—173no—
454C22×Q8—173no—
455C22×Q8C2×#59511yescharacteristic, complemented
456C22×D4—173no—
457C22×D4—173no—
458C22×D4—176no—
459C22×D4—173no—
460C22×D4—173no—
461C22×D4—176no—
462C22×D4—173no—
463C22×D4—173no—
464C22×D4—176no—
465C22×D4—173no—
466C22×D4—173no—
467C22×D4C2×#59513yescomplemented
468C23×C4—173no—
469C23×C4—176no—
470C23×C4—173no—
471C23×C4C2×#59513yescomplemented
472C4×Q8—3416no—
473C4×D4—3448no—
474#117—178no—
475#117—1724no—
476#117—3412no—
477#117—3412no—
478C2×C4⋊C4—3412no—
479C2×C22⋊C4—1724no—
480C2×C42—3412no—
481#99—1724no—
482#99—178no—
483#99—178no—
484#99—1724no—
485C17#6007011yescharacteristic, complemented, Sylow
486C24—173no—
487C24—176no—
488C24—173no—
489C24C22×#59513yes—
490#41—24no—
491#41—212no—
492#41—26no—
493#41—26no—
494#41—178no—
495#41—1724no—
496#41—1712no—
497#41—1712no—
498#41—342no—
499#41—346no—
500#41—346no—
501#41—346no—
502#41—342no—
503#41—346no—
504#41—346no—
505#41—346no—
506#41—3412no—
507#41—3412no—
508#41—3412no—
509#41—3412no—
510#41—3424no—
511#41—3412no—
512#41—3412no—
513#41—3424no—
514#41—3412no—
515#41—3412no—
516#41—3424no—
517#41—3412no—
518#41—3412no—
519#41—344no—
520#41—3412no—
521#41—346no—
522#41—346no—
523#41C22⋊#59514yes—
524#41C22⋊#59514yes—
525C2×Q8—24no—
526C2×Q8—178no—
527C2×Q8—173no—
528C2×Q8—173no—
529C2×Q8—173no—
530C2×Q8—173no—
531C2×Q8—171no—
532C2×Q8—173no—
533C2×Q8—3412no—
534C2×Q8—3412no—
535C2×Q8—3412no—
536C2×Q8—3412no—
537C2×Q8—344no—
538C2×Q8C22×#59513yes—
539C2×Q8C22×#59511yescharacteristic
540C2×D4—212no—
541C2×D4—176no—
542C2×D4—1724no—
543C2×D4—173no—
544C2×D4—173no—
545C2×D4—173no—
546C2×D4—171no—
547C2×D4—173no—
548C2×D4—173no—
549C2×D4—176no—
550C2×D4—173no—
551C2×D4—171no—
552C2×D4—173no—
553C2×D4—173no—
554C2×D4—173no—
555C2×D4—173no—
556C2×D4—173no—
557C2×D4—171no—
558C2×D4—3412no—
559C2×D4—3412no—
560C2×D4—3412no—
561C2×D4—3412no—
562C2×D4—3424no—
563C2×D4—3412no—
564C2×D4—3424no—
565C2×D4—3424no—
566C2×D4—3412no—
567C2×D4—3412no—
568C2×D4C22×#59516yes—
569C2×D4C22×#59513yes—
570C2×D4C22×#59513yes—
571C22×C4—26no—
572C22×C4—26no—
573C22×C4—173no—
574C22×C4—1712no—
575C22×C4—1712no—
576C22×C4—173no—
577C22×C4—173no—
578C22×C4—171no—
579C22×C4—173no—
580C22×C4—176no—
581C22×C4—173no—
582C22×C4—173no—
583C22×C4—171no—
584C22×C4—176no—
585C22×C4—176no—
586C22×C4—173no—
587C22×C4—173no—
588C22×C4—3412no—
589C22×C4—3412no—
590C22×C4—346no—
591C22×C4—346no—
592C22×C4—3424no—
593C22×C4C22×#59513yes—
594C22×C4C22×#59511yescharacteristic
595C22×C4C22×#59513yes—
596C22×C4C22×#59513yes—
597C22×C4C22×#59513yes—
598C22×C4C22×#59513yes—
599C4⋊C4—348no—
600C4⋊C4—3424no—
601C22⋊C4—1716no—
602C22⋊C4—3424no—
603C42—348no—
604C42—3424no—
605C23—26no—
606C23—83no—
607C23—1712no—
608C23—171no—
609C23—173no—
610C23—173no—
611C23—171no—
612C23—3412no—
613C23—346no—
614C23—1363no—
615C23—1363no—
616C23—1366no—
617C23C23×#59513yes—
618C23C23×#59511yescharacteristic
619C23C23×#59513yes—
620Q8—26no—
621Q8—1712no—
622Q8—342no—
623Q8—346no—
624Q8—346no—
625Q8—346no—
626Q8—346no—
627Q8C2×C22⋊#59514yes—
628D4—212no—
629D4—26no—
630D4—1724no—
631D4—1712no—
632D4—342no—
633D4—346no—
634D4—346no—
635D4—346no—
636D4—342no—
637D4—346no—
638D4—346no—
639D4—346no—
640D4—342no—
641D4—346no—
642D4—346no—
643D4—346no—
644D4—3412no—
645D4—346no—
646D4C2×C22⋊#595112yes—
647C2×C4—26no—
648C2×C4—21no—
649C2×C4—23no—
650C2×C4—26no—
651C2×C4—26no—
652C2×C4—21no—
653C2×C4—23no—
654C2×C4—1712no—
655C2×C4—171no—
656C2×C4—173no—
657C2×C4—1712no—
658C2×C4—172no—
659C2×C4—176no—
660C2×C4—1712no—
661C2×C4—172no—
662C2×C4—176no—
663C2×C4—173no—
664C2×C4—171no—
665C2×C4—3412no—
666C2×C4—3412no—
667C2×C4—3412no—
668C2×C4—346no—
669C2×C4—343no—
670C2×C4—341no—
671C2×C4—346no—
672C2×C4—346no—
673C2×C4—343no—
674C2×C4—341no—
675C2×C4—3416no—
676C2×C4—13624no—
677C2×C4C2×C22⋊#59516yes—
678C2×C4C2×C22⋊#59516yes—
679C2×C4C23×#59513yes—
680C2×C4C23×#59511yescharacteristic
681C2×C4C23×#59513yes—
682C2×C4C23×#59511yescharacteristic
683C22—21no—
684C22—23no—
685C22—43no—
686C22—41no—
687C22—43no—
688C22—86no—
689C22—172no—
690C22—176no—
691C22—343no—
692C22—341no—
693C22—6812no—
694C22—681no—
695C22—683no—
696C22—681no—
697C22—683no—
698C22—1366no—
699C22—13612no—
700C22C22×C22⋊#59516yes—
701C22C24×#59511yescharacteristic
702C4—21no—
703C4—23no—
704C4—172no—
705C4—176no—
706C4—343no—
707C4—341no—
708C4—6816no—
709C4C22×C22⋊#59511yescharacteristic
710C4C22×C22⋊#59516yes—
711C4C22×C22⋊#59511yescharacteristic
712C2—21no—
713C2—26no—
714C2—41no—
715C2—43no—
716C2—342no—
717C2—346no—
718C2—681no—
719C2—683no—
720C2C23×C22⋊#59511yescharacteristic
subgroupG/H
centerC4C22×C22⋊#595
commutatorC22×C17C24×C4
FrattiniC22C24×#595
FittingC22×#41×C17C4
socleC2×C17C23×C22⋊C4
prime radicalC2×#11763645C2
cosocleC22×D17C25
hypercenterC22×#41#595
hypocenterC17#60070
LCSG ▷ C22×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C4 ◁ C2×#41 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. #14545764C2semidirect
2. #14545386C2semidirect
3. #14545385C2semidirect
4. #14545384C2semidirect
5. #14545383C2semidirect
6. D17⋊#410C2semidirect
7. C2×#11763788C2semidirect
10. #11763877C22semidirect
11. #11763876C22semidirect
13. C2×#10587677C22semidirect
14. #11763790C22semidirect
15. #11763789C22semidirect
16. #11763788C22semidirect
17. #11763788C22semidirect
18. #11763788C22semidirect
19. #11763788C22semidirect
20. C2×#10587539C22semidirect
21. D17⋊#99C22semidirect
22. C2×#10587551C22semidirect
25. C2×#10587694C4semidirect
27. C2×#10587697C4semidirect
29. C2×#10587696C4semidirect
31. C2×#10587691C4semidirect
33. C22×#63252C4semidirect
35. C2×#41×D17C4semidirect
36. C2×#41×D17C4semidirect
39. C22×#41×C17C4semidirect
43. C2×#41×C17C2×C4semidirect
44. C2×#41×C17C2×C4semidirect
45. C2×#41×C17C2×C4semidirect
46. C22×Q8×C17C2×C4semidirect
47. C22×D4×C17C2×C4semidirect
48. C23×C4×C17C2×C4semidirect
49. C22×C22⋊D17C2×C4semidirect
50. C22×C22⋊D17C2×C4semidirect
67. C2×#63256C2×C4semidirect
68. C2×#63256C2×C4semidirect
70. C2×Q8×D17C2×C4semidirect
71. C2×Q8×D17C2×C4semidirect
72. C2×Q8×D17C2×C4semidirect
77. C2×#63254C2×C4semidirect
78. C2×#63254C2×C4semidirect
79. C2×#63254C2×C4semidirect
80. C2×#63254C2×C4semidirect
82. C2×D4×D17C2×C4semidirect
83. C2×D4×D17C2×C4semidirect
84. C2×D4×D17C2×C4semidirect
85. C2×D4×D17C2×C4semidirect
93. C2×#63252C2×C4semidirect
94. C2×#63252C2×C4semidirect
95. C2×#63252C2×C4semidirect
96. C2×#63252C2×C4semidirect
97. C2×#63252C2×C4semidirect
98. C2×#63252C2×C4semidirect
99. C2×#63252C2×C4semidirect
100. C2×#63252C2×C4semidirect
105. C22×D68C2×C4semidirect
107. C22×C4×D17C2×C4semidirect
108. C22×C4×D17C2×C4semidirect
110. C22×Dic34C2×C4semidirect
111. C22×Dic34C2×C4semidirect
376. C22×#41#595semidirect
446. C2×#41C2×#595semidirect
447. C2×#41C2×#595semidirect
448. C2×#41C2×#595semidirect
455. C22×Q8C2×#595semidirect
467. C22×D4C2×#595semidirect
471. C23×C4C2×#595semidirect
485. C17#60070semidirect

Maximal subgroups

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

subgroupindex
#145457642
#145453862
#145453852
#145453842
#145453832
D17⋊#4102
C2×#117637882
C2×#117636452
#6007017