Finite Group Databasebeta

← C4×#11763617 #17898559

Subgroups — C4×#11763617 #17898559

Order 4352.

2742 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763617C211yesmaximal, characteristic
2C4×#10587696C211yesmaximal, characteristic, complemented
3#14537665C213yesmaximal, complemented
4#14537643C213yesmaximal, complemented
5#14537627C213yesmaximal, complemented
6#14537612C213yesmaximal, complemented
7C4×#10587628C213yesmaximal, complemented
8C4×#10587635C213yesmaximal, complemented
9C4×#10587636C213yesmaximal, complemented
10C2×C4×#63230C213yesmaximal, complemented
11#14537377C211yesmaximal, characteristic, complemented
12#14537317C211yesmaximal, characteristic, complemented
13#14537307C211yesmaximal, characteristic, complemented
14C4×#10587634C211yesmaximal, characteristic, complemented
15C4×C17×2−1+4C211yesmaximal, characteristic, complemented
16C2×#10587696C2211yescharacteristic
17#11763617C4116yesdirect product factor
18C2×#10587628C2213yes—
19C2×#10587635C2213yes—
20C2×#10587636C2213yes—
21C22×#63230C2213yes—
22C2×#10587634C2211yescharacteristic
23C2×#10587634C2211yescharacteristic
24#11763292C2211yescharacteristic
25#11763291—21no—
26#11763289C2213yes—
27#11763283C2213yes—
28#11763281—23no—
29C4×#63256—21no—
30C4×#63252C2213yes—
31C2×C4×D68C2213yes—
32C4×D4×D17—23no—
33#11762919C2216yescomplemented
34#11762914C2216yescomplemented
35#11762907C2216yescomplemented
36#11762907C2216yescomplemented
37C4×#63231C2213yescomplemented
38C4×#63231C2213yescomplemented
39C4×#63230C2213yescomplemented
40C4×#63230C2216yescomplemented
41C4×#63230C2216yescomplemented
42C4×#63230C2216yescomplemented
43C4×#63230C2213yescomplemented
44C4×#63229C2211yescharacteristic, complemented
45C4×#63229C2213yescomplemented
46C4×#63228C2213yescomplemented
47C4×#63228C2213yescomplemented
48#11762852C2213yescomplemented
49#11762849C2213yescomplemented
50#11762845C2213yescomplemented
51C2×#10587479C2213yescomplemented
52#11762818C2213yescomplemented
53#11762813C2213yes—
54#11762810C2213yescomplemented
55#11762808C2213yes—
56#11762805C2213yescomplemented
57#11762803C2213yes—
58C2×#10587506C2213yescomplemented
59C2×#10587480C2213yes—
60#11762765C2213yescomplemented
61#11762765C2213yescomplemented
62C4×#63223C2213yescomplemented
63C2×C4×#3622C2213yescomplemented
64C2×C17×2−1+4C2211yescharacteristic
65C17×#520—23no—
66C17×#520C2211yescharacteristic
67C17×#520C2213yescomplemented
68C17×#519—21no—
69C17×#519C2213yescomplemented
70C4×#41×C17—23no—
71C4×#41×C17C2211yescharacteristic
72C4×#41×C17C2213yescomplemented
73C2×C4×Q8×C17—21no—
74C2×C4×Q8×C17C2213yescomplemented
75C17×2−1+4—24no—
76C17×2−1+4C2×C418yescomplemented
77C2×#41×C17—23no—
78C2×#41×C17C2313yes—
79C2×#41×C17C2311yescharacteristic
80C22×Q8×C17—21no—
81C22×Q8×C17C2313yes—
82#10587696—24no—
83#10587696C2×C418yescomplemented
84C2×#63256—21no—
85C2×D4×D17—23no—
86C2×#63252C2313yes—
87C22×D68C2313yes—
88C22×C4×D17—23no—
89C4×Q8×C17—21no—
90C4×Q8×C17—23no—
91C4×Q8×C17—23no—
92C4×Q8×C17—23no—
93C4×Q8×C17—23no—
94C4×Q8×C17D411yescharacteristic
95C4×Q8×C17D411yescharacteristic
96C4×Q8×C17C2313yes—
97C4×Q8×C17C2316yes—
98C4×Q8×C17C2313yes—
99C4×D4×C17—23no—
100C4×D4×C17—23no—
101C4×D4×C17—23no—
102C4×D4×C17—26no—
103C4×D4×C17D413yes—
104C4×D4×C17D413yes—
105C4×D4×C17C2311yescharacteristic
106C4×D4×C17C2313yes—
107C17×#117—23no—
108C17×#117—26no—
109C17×#117—23no—
110C17×#117C2313yes—
111C17×#117C2313yes—
112C2×C4⋊C4×C17—23no—
113C2×C4⋊C4×C17—23no—
114C2×C4⋊C4×C17C2313yes—
115C2×C42×C17—23no—
116C2×C42×C17—23no—
117C2×C42×C17C2313yes—
118#10587636C2×C4124yescomplemented
119#10587635C2×C4124yescomplemented
120#10587634—24no—
121#10587634C2×C418yescomplemented
122Q8×Dic17—21no—
123C2×#63231C2313yes—
124#10587628C2×C4124yescomplemented
125C2×#63230C2×C4124yescomplemented
126C2×#63230C2313yes—
127C2×#63230C2316yes—
128D4×Dic17—23no—
129C2×#63229C2311yescharacteristic
130C2×#63228C2313yes—
131C4×C22⋊D17—23no—
132C4×C22⋊D17—23no—
133C2×#63227—23no—
134#10587612C2313yes—
135C2×C4⋊Dic17C2313yes—
136C2×#63223C2313yes—
137C2×#63223C2313yes—
138C22×#3622C2313yes—
139C22×#3622C2313yes—
140#10587579—23no—
141#10587579—23no—
142#10587578—23no—
143C4⋊C4×D17—23no—
144#10587567—26no—
145C22⋊C4×D17—26no—
146C4×D68—23no—
147C4×D68—23no—
148C4×D68C2313yes—
149C4×D68C2316yes—
150C4×D68C2313yes—
151#10587558—23no—
152C42×D17—23no—
153C4×Dic34C2311yescharacteristic
154C4×Dic34C2313yes—
155#10587506C2313yes—
156#10587506C2316yes—
157#10587506C2313yes—
158#10587503C2311yescharacteristic
159#10587503C2313yes—
160#10587481C2311yescharacteristic
161#10587481C2313yes—
162#10587480C2313yes—
163#10587480C2316yes—
164#10587480C2313yes—
165#10587479C2313yes—
166#10587479C2316yes—
167#10587479C2311yescharacteristic
168#10587478C2313yes—
169#10587478C2313yes—
170#10587474C2316yes—
171C4×#3622C2311yescharacteristic
172C4×#3622C2313yes—
173C4×#3622C2313yes—
174C4×#3622C2313yes—
175C23×D17—23no—
176#41×C17—224no—
177#41×C17—26no—
178#41×C17C22×C414yes—
179#41×C17C22×C4112yescomplemented
180#41×C17#4114yes—
181C2×Q8×C17—28no—
182C2×Q8×C17—23no—
183C2×Q8×C17—26no—
184C2×Q8×C17C22×C4112yescomplemented
185C2×Q8×C17C2×D411yescharacteristic
186C2×Q8×C17C2413yes—
187C2×D4×C17—23no—
188C2×D4×C17C2×D413yes—
189C2×D4×C17C2411yescharacteristic
190C22×C4×C17—23no—
191C22×C4×C17—23no—
192C22×C4×C17—23no—
193C22×C4×C17—21no—
194C22×C4×C17—23no—
195C22×C4×C17C2×D413yes—
196C22×C4×C17C2×D413yes—
197C22×C4×C17C2413yes—
198C2×C22⋊D17—23no—
199C22×Dic17—23no—
200#63256—28no—
201D4×D17—224no—
202#63252—26no—
203#63252C22×C4112yes—
204C2×D68—23no—
205C2×D68—26no—
206C2×D68C22×C4112yes—
207C2×D68C2413yes—
208C2×C4×D17—23no—
209C2×C4×D17—23no—
210C2×C4×D17—26no—
211C2×C4×D17—23no—
212C2×C4×D17—86no—
213C2×Dic34C2411yescharacteristic
214C4⋊C4×C17—26no—
215C4⋊C4×C17—23no—
216C4⋊C4×C17—23no—
217C4⋊C4×C17—23no—
218C4⋊C4×C17C2×D413yes—
219C4⋊C4×C17C2×D413yes—
220C4⋊C4×C17C2411yescharacteristic
221C4⋊C4×C17C2413yes—
222C22⋊C4×C17—23no—
223C22⋊C4×C17—21no—
224C22⋊C4×C17—23no—
225C22⋊C4×C17C2×D416yes—
226C42×C17—23no—
227C42×C17—23no—
228C42×C17—26no—
229C42×C17—23no—
230C42×C17C2×D413yes—
231C42×C17C2×D413yes—
232C42×C17C2411yescharacteristic
233C42×C17C2413yes—
234C22⋊Dic17—23no—
235#63231C22×C4112yescomplemented
236#63230C22×C4112yescomplemented
237#63230C22×C4124yescomplemented
238#63229C22×C414yescomplemented
239#63228C22×C4112yescomplemented
240#63227—23no—
241#63227—23no—
242#63227—26no—
243C4⋊Dic17—23no—
244C4⋊Dic17C2411yescharacteristic
245C4⋊Dic17C2413yes—
246#63225—21no—
247#63225—23no—
248C4×Dic17—21no—
249C4×Dic17—23no—
250C4×Dic17—23no—
251#63223—26no—
252#63223C22×C4112yescomplemented
253C2×#3622—26no—
254C2×#3622C22×C4112yescomplemented
255C2×#3622C2411yescharacteristic
256C2×#3622C2413yes—
257C2×#3622C2411yescharacteristic
258C2×#3622C2413yes—
259C4×#577—171nomaximal, Sylow
260C23×C17—21no—
261C23×C17C22×D413yes—
262C22×D17—23no—
263C22×D17—212no—
264C22×D17—83no—
265C22×D17—83no—
266Q8×C17—212no—
267Q8×C17—23no—
268Q8×C17C4×D414yes—
269Q8×C17C23×C416yes—
270D4×C17—212no—
271D4×C17—21no—
272D4×C17C4×D4112yes—
273D4×C17C23×C412yes—
274C2×C4×C17—212no—
275C2×C4×C17—23no—
276C2×C4×C17—212no—
277C2×C4×C17—26no—
278C2×C4×C17—21no—
279C2×C4×C17—23no—
280C2×C4×C17—43no—
281C2×C4×C17—42no—
282C2×C4×C17—83no—
283C2×C4×C17—83no—
284C2×C4×C17C23×C416yes—
285C2×C4×C17C22×D413yes—
286C2×C4×C17C22×D413yes—
287C2×C4×C17C22×D411yescharacteristic
288C2×C4×C17C22×D413yes—
289C2×C4×C17C22×D411yescharacteristic
290C2×C4×C17C2×#4116yes—
291C2×C4×C17C2511yescharacteristic
292C22⋊D17—212no—
293C2×Dic17—21no—
294C2×Dic17—21no—
295C2×Dic17—23no—
296C2×Dic17—83no—
297D68—212no—
298D68—23no—
299D68C23×C416yes—
300C4×D17—212no—
301C4×D17—46no—
302C4×D17—83no—
303C4×D17—86no—
304Dic34—21no—
305Dic34C23×C412yes—
306#3622—21no—
307#3622—23no—
308#3622C23×C412yes—
309#3622C23×C416yes—
310C2×#577—171no—
311C4×2−1+4D1711yescharacteristic, complemented
312C4×H(5,𝔽2)—171no—
313#2952—173no—
314#2949—173no—
315#2947—173no—
316#2946—173no—
317C4×#137—173no—
318C4×AGL(1,ℤ/8)—173no—
319C4×#135—173no—
320C2×C4×SD16—173no—
321#2912—171no—
322#2898—171no—
323#2897—171no—
324C4×#131—171no—
325C22×C17—23no—
326C22×C17—23no—
327C22×C17—22no—
328C22×C17—41no—
329C22×C17—41no—
330C22×C17C2×C4×D416yes—
331C22×C17C23×D411yescharacteristic
332C2×D17—26no—
333C2×D17—43no—
334C2×D17—43no—
335C2×D17—812no—
336C4×C17—23no—
337C4×C17—21no—
338C4×C17—26no—
339C4×C17—23no—
340C4×C17—43no—
341C4×C17—41no—
342C4×C17C2×C4×D416yes—
343C4×C17#57712yescomplemented
344C4×C17C24×C411yescharacteristic
345C4×C17C22×#4111yescharacteristic
346Dic17—22no—
347Dic17—41no—
348Dic17—43no—
349C2×2−1+4C2×D1711yescharacteristic
350C2×H(5,𝔽2)—171no—
351#577—1716no—
352C2×#137—173no—
353C2×AGL(1,ℤ/8)—173no—
354C2×#135—173no—
355C22×SD16—173no—
356C2×#131—171no—
357C2×#131—171no—
358#520—23no—
359#520—171no—
360#520—173no—
361#520—341no—
362#520C2×D1711yescharacteristic
363#520C2×D1713yescomplemented
364#519—21no—
365#519C2×D1713yescomplemented
366#518—173no—
367#518—343no—
368C4×#41—23no—
369C4×#41—173no—
370C4×#41—341no—
371C4×#41C2×D1711yescharacteristic
372C4×#41C2×D1713yescomplemented
373C2×C4×Q8—21no—
374C2×C4×Q8C2×D1713yescomplemented
375C2×C4×D4—173no—
376C2×C4×D4—343no—
377#442—176no—
378#441—176no—
379#440—176no—
380#440—176no—
381C4×Q16—173no—
382C4×Q16—173no—
383C4×SD16—173no—
384C4×SD16—176no—
385C4×SD16—176no—
386C4×SD16—176no—
387C4×SD16—173no—
388C4×SD16—171no—
389C4×SD16—173no—
390C4×D8—173no—
391C4×D8—173no—
392#428—173no—
393#428—173no—
394#427—173no—
395C2×#106—173no—
396#419—173no—
397#418—173no—
398#417—173no—
399#417—173no—
400#416—173no—
401#416—173no—
402C2×#103—173no—
403C2×#102—173no—
404#405—173no—
405#405—173no—
406C4×M16—173no—
407C2×C4×C8—173no—
408C2×C17—26no—
409C2×C17—42no—
410C2×C17C22×C4×D411yescharacteristic
411C2×C17C2×#57711yescharacteristic
412C2×C17#358411yescharacteristic
413D17—46no—
4142−1+4—24no—
4152−1+4C4×D1718yescomplemented
416H(5,𝔽2)—178no—
417H(5,𝔽2)—344no—
418C2×#41—23no—
419C2×#41—173no—
420C2×#41—341no—
421C2×#41C22×D1713yes—
422C2×#41C22×D1711yescharacteristic
423C22×Q8—21no—
424C22×Q8C22×D1713yes—
425C22×D4—173no—
426C22×D4—343no—
427C23×C4—343no—
428#137—1724no—
429AGL(1,ℤ/8)—1724no—
430#135—1724no—
431C2×Q16—173no—
432C2×SD16—1724no—
433C2×SD16—173no—
434C2×SD16—176no—
435C2×SD16—171no—
436C2×D8—173no—
437#131—178no—
438#131—344no—
439C2×M16—173no—
440C2×M16—173no—
441C22×C8—173no—
442C22×C8—173no—
443C4×Q8—21no—
444C4×Q8—23no—
445C4×Q8—23no—
446C4×Q8—23no—
447C4×Q8—23no—
448C4×Q8—171no—
449C4×Q8—173no—
450C4×Q8—341no—
451C4×Q8C22⋊D1711yescharacteristic
452C4×Q8C22⋊D1711yescharacteristic
453C4×Q8C22×D1713yes—
454C4×Q8C22×D1716yes—
455C4×Q8C22×D1713yes—
456C4×D4—23no—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—26no—
460C4×D4—173no—
461C4×D4—176no—
462C4×D4—173no—
463C4×D4—343no—
464C4×D4—343no—
465C4×D4—343no—
466C4×D4—343no—
467C4×D4—343no—
468C4×D4—346no—
469C4×D4—343no—
470C4×D4—343no—
471C4×D4C22⋊D1713yes—
472C4×D4C22⋊D1713yes—
473C4×D4C22×D1711yescharacteristic
474C4×D4C22×D1713yes—
475#117—23no—
476#117—26no—
477#117—23no—
478#117—173no—
479#117—343no—
480#117—343no—
481#117C22×D1713yes—
482#117C22×D1713yes—
483C2×C4⋊C4—23no—
484C2×C4⋊C4—23no—
485C2×C4⋊C4—173no—
486C2×C4⋊C4—343no—
487C2×C4⋊C4C22×D1713yes—
488C2×C22⋊C4—343no—
489C2×C22⋊C4—346no—
490C2×C42—23no—
491C2×C42—23no—
492C2×C42—343no—
493C2×C42C22×D1713yes—
494#107—173no—
495#107—173no—
496#106—173no—
497#106—176no—
498#106—171no—
499#103—173no—
500#103—176no—
501#103—173no—
502#103—171no—
503#103—173no—
504#102—171no—
505#102—173no—
506#102—173no—
507#102—176no—
508#102—173no—
509#97—176no—
510C4×C8—171no—
511C4×C8—173no—
512C4×C8—173no—
513C4×C8—173no—
514C17C4×#57711yescharacteristic, complemented, Sylow
515C24—343no—
516#41—224no—
517#41—26no—
518#41—1712no—
519#41—348no—
520#41—346no—
521#41C2×C4×D1714yes—
522#41C2×C4×D17112yescomplemented
523#41#6325214yes—
524C2×Q8—28no—
525C2×Q8—26no—
526C2×Q8—23no—
527C2×Q8—171no—
528C2×Q8C2×C4×D17112yescomplemented
529C2×Q8C2×C22⋊D1711yescharacteristic
530C2×Q8C23×D1713yes—
531C2×D4—23no—
532C2×D4—1712no—
533C2×D4—173no—
534C2×D4—343no—
535C2×D4—3424no—
536C2×D4—346no—
537C2×D4—343no—
538C2×D4C2×C22⋊D1713yes—
539C2×D4C23×D1711yescharacteristic
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—21no—
544C22×C4—23no—
545C22×C4—343no—
546C22×C4—343no—
547C22×C4—343no—
548C22×C4—343no—
549C22×C4—346no—
550C22×C4—1366no—
551C22×C4C2×C22⋊D1713yes—
552C22×C4C2×C22⋊D1713yes—
553C22×C4C23×D1713yes—
554Q16—1712no—
555SD16—1712no—
556SD16—1724no—
557SD16—174no—
558D8—1712no—
559M16—1712no—
560M16—346no—
561C2×C8—1712no—
562C2×C8—171no—
563C2×C8—173no—
564C2×C8—171no—
565C2×C8—173no—
566C2×C8—346no—
567C4⋊C4—26no—
568C4⋊C4—23no—
569C4⋊C4—23no—
570C4⋊C4—23no—
571C4⋊C4—173no—
572C4⋊C4—171no—
573C4⋊C4—343no—
574C4⋊C4—343no—
575C4⋊C4—341no—
576C4⋊C4C2×C22⋊D1713yes—
577C4⋊C4C2×C22⋊D1713yes—
578C4⋊C4C23×D1713yes—
579C4⋊C4C23×D1711yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—21no—
582C22⋊C4—23no—
583C22⋊C4—343no—
584C22⋊C4—343no—
585C22⋊C4—346no—
586C22⋊C4—343no—
587C22⋊C4C2×C22⋊D1716yes—
588C42—23no—
589C42—26no—
590C42—23no—
591C42—23no—
592C42—343no—
593C42—343no—
594C42—341no—
595C42C2×C22⋊D1713yes—
596C42C2×C22⋊D1713yes—
597C42C23×D1713yes—
598C42C23×D1711yescharacteristic
599C23—21no—
600C23—343no—
601C23—3412no—
602C23—1363no—
603C23—1363no—
604C23C22×C22⋊D1713yes—
605Q8—212no—
606Q8—23no—
607Q8—172no—
608Q8—341no—
609Q8C4×C22⋊D1714yes—
610Q8C22×C4×D1716yes—
611D4—212no—
612D4—21no—
613D4—176no—
614D4—3412no—
615D4—3412no—
616D4—343no—
617D4C4×C22⋊D17112yes—
618D4C22×C4×D1712yes—
619C2×C4—212no—
620C2×C4—23no—
621C2×C4—212no—
622C2×C4—26no—
623C2×C4—21no—
624C2×C4—23no—
625C2×C4—43no—
626C2×C4—42no—
627C2×C4—83no—
628C2×C4—83no—
629C2×C4—341no—
630C2×C4—3412no—
631C2×C4—341no—
632C2×C4—343no—
633C2×C4—686no—
634C2×C4—1366no—
635C2×C4—1363no—
636C2×C4—1363no—
637C2×C4C22×C4×D1716yes—
638C2×C4C2×#6325216yes—
639C2×C4C22×C22⋊D1713yes—
640C2×C4C22×C22⋊D1713yes—
641C2×C4C22×C22⋊D1711yescharacteristic
642C2×C4C22×C22⋊D1713yes—
643C2×C4C22×C22⋊D1711yescharacteristic
644C2×C4C24×D1711yescharacteristic
645C8—172no—
646C8—176no—
647C8—341no—
648C8—343no—
649C22—23no—
650C22—23no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—346no—
655C22—683no—
656C22—683no—
657C22—13612no—
658C22C2×C4×C22⋊D1716yes—
659C22C23×C22⋊D1711yescharacteristic
660C4—26no—
661C4—23no—
662C4—21no—
663C4—23no—
664C4—41no—
665C4—43no—
666C4—342no—
667C4—683no—
668C4—681no—
669C4C2×C4×C22⋊D1716yes—
670C4#1176361712yesdirect product factor
671C4C23×C4×D1711yescharacteristic
672C4C22×#6325211yescharacteristic
673C2—26no—
674C2—42no—
675C2—686no—
676C2C22×C4×C22⋊D1711yescharacteristic
677C2C2×#1176361711yescharacteristic
678C2#1454355511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D17
commutatorC4×C17C24×C4
FrattiniC2×C4C24×D17
FittingC4×C17×2−1+4C2
socleC22×C17C23×D4
prime radicalC2×#11763617C2
cosocleC2×C4×C17C25
hypercenterC4×2−1+4D17
hypocenterC17C4×#577
LCSG ▷ C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ C4×2−1+4

Complements

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

NH ≅ G/Ntype
2. C4×#10587696C2semidirect
3. #14537665C2semidirect
4. #14537643C2semidirect
5. #14537627C2semidirect
6. #14537612C2semidirect
7. C4×#10587628C2semidirect
8. C4×#10587635C2semidirect
9. C4×#10587636C2semidirect
10. C2×C4×#63230C2semidirect
11. #14537377C2semidirect
12. #14537317C2semidirect
13. #14537307C2semidirect
14. C4×#10587634C2semidirect
15. C4×C17×2−1+4C2semidirect
17. #11763617C4direct (N × H)
33. #11762919C22semidirect
34. #11762914C22semidirect
35. #11762907C22semidirect
36. #11762907C22semidirect
37. C4×#63231C22semidirect
38. C4×#63231C22semidirect
39. C4×#63230C22semidirect
40. C4×#63230C22semidirect
41. C4×#63230C22semidirect
42. C4×#63230C22semidirect
43. C4×#63230C22semidirect
44. C4×#63229C22semidirect
45. C4×#63229C22semidirect
46. C4×#63228C22semidirect
47. C4×#63228C22semidirect
48. #11762852C22semidirect
49. #11762849C22semidirect
50. #11762845C22semidirect
51. C2×#10587479C22semidirect
52. #11762818C22semidirect
54. #11762810C22semidirect
56. #11762805C22semidirect
58. C2×#10587506C22semidirect
60. #11762765C22semidirect
61. #11762765C22semidirect
62. C4×#63223C22semidirect
63. C2×C4×#3622C22semidirect
67. C17×#520C22semidirect
69. C17×#519C22semidirect
72. C4×#41×C17C22semidirect
74. C2×C4×Q8×C17C22semidirect
76. C17×2−1+4C2×C4semidirect
83. #10587696C2×C4semidirect
118. #10587636C2×C4semidirect
119. #10587635C2×C4semidirect
121. #10587634C2×C4semidirect
124. #10587628C2×C4semidirect
125. C2×#63230C2×C4semidirect
179. #41×C17C22×C4semidirect
184. C2×Q8×C17C22×C4semidirect
235. #63231C22×C4semidirect
236. #63230C22×C4semidirect
237. #63230C22×C4semidirect
238. #63229C22×C4semidirect
239. #63228C22×C4semidirect
252. #63223C22×C4semidirect
254. C2×#3622C22×C4semidirect
311. C4×2−1+4D17semidirect
343. C4×C17#577semidirect
363. #520C2×D17semidirect
365. #519C2×D17semidirect
372. C4×#41C2×D17semidirect
374. C2×C4×Q8C2×D17semidirect
415. 2−1+4C4×D17semidirect
514. C17C4×#577semidirect
522. #41C2×C4×D17semidirect
528. C2×Q8C2×C4×D17semidirect
670. C4#11763617direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117636172
C4×#105876962
#145376652
#145376432
#145376272
#145376122
C4×#105876282
C4×#105876352
C4×#105876362
C2×C4×#632302
#145373772
#145373172
#145373072
C4×#105876342
C4×C17×2−1+42
C4×#57717