Finite Group Databasebeta

← #17070792

Subgroups — #17070792

Order 4352.

1118 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763106C211yesmaximal, characteristic, complemented
2C2×C4×#63228C211yesmaximal, characteristic
3#14534142C211yesmaximal, characteristic, complemented
4#14530119C211yesmaximal, characteristic, complemented
5#14530109C211yesmaximal, characteristic, complemented
6#14529927C211yesmaximal, characteristic, complemented
7#14529917C211yesmaximal, characteristic, complemented
8#14529750C211yesmaximal, characteristic, complemented
9#14529721C211yesmaximal, characteristic, complemented
10#14529132C211yesmaximal, characteristic
11#14529132C211yesmaximal, characteristic
12#14529045C211yesmaximal, characteristic, complemented
13#14529031C211yesmaximal, characteristic, complemented
14#14528794C211yesmaximal, characteristic, complemented
15C2×C17×#554C211yesmaximal, characteristic, complemented
16C22×#63228C2211yescharacteristic
17C2×C4×D68C2211yescharacteristic
18#11763106—24no—
19C4×#63228—24no—
20C2×#10587478C2211yescharacteristic
21C2×#10587478C2211yescharacteristic
22C2×#10587479C2211yescharacteristic
23C2×C4⋊#3622C2211yescharacteristic
24C2×#10587503C2211yescharacteristic
25C2×#10587503C2211yescharacteristic
26C2×#10587503C2211yescharacteristic
27C2×#10587480C2211yescharacteristic
28C2×#10587480C2211yescharacteristic
29C2×#10587480C2211yescharacteristic
30C2×C4×#3622C2211yescharacteristic
31#11762744—21no—
32#11762720—21no—
33#11762711C2211yescharacteristic
34#11762711C2211yescharacteristic
35#11762707C2211yescharacteristic
36#11762707C2211yescharacteristic
37#11762680—21no—
38#11762680—21no—
39#11762675C2211yescharacteristic
40#11762571C2211yescharacteristic
41#11762571C2211yescharacteristic
42#11762571C2211yescharacteristic
43#11762571C2211yescharacteristic
44#11762571C2211yescharacteristic
45#11762571C2211yescharacteristic
46#11762564C2211yescharacteristic
47#11762564C2211yescharacteristic
48#11762564C2211yescharacteristic
49#11762564C2211yescharacteristic
50C17×#554—24no—
51C17×#554—24no—
52C2×C17×C4⋊Q8C2211yescharacteristic
53C2×C17×#125C2211yescharacteristic
54C2×C17×#125C2211yescharacteristic
55C2×C17×C22⋊Q8—21no—
56C2×C17×C22⋊Q8—21no—
57C2×C17×C22⋊Q8—21no—
58C2×C4×Q8×C17C2211yescharacteristic
59C2×C4×D4×C17C2211yescharacteristic
60C2×C4×D4×C17C2211yescharacteristic
61C2×C4×D4×C17C2211yescharacteristic
62C22×C4⋊C4×C17—21no—
63C22×Q8×C17—21no—
64C22×Q8×C17D411yescharacteristic
65C22×D4×C17C2311yescharacteristic
66C23×C4×C17—21no—
67C23×C4×C17—21no—
68C23×C4×C17—21no—
69C22×D68C2311yescharacteristic
70C22×C4×D17—21no—
71C17×C4⋊Q8—22no—
72C17×C4⋊Q8—22no—
73C17×#125—22no—
74C17×#125—22no—
75C17×#125—22no—
76C17×#125D414yes—
77C17×C22⋊Q8—28no—
78C17×C22⋊Q8—28no—
79C17×C22⋊Q8—28no—
80C4×Q8×C17—22no—
81C4×Q8×C17—22no—
82C4×D4×C17—22no—
83C4×D4×C17—22no—
84C4×D4×C17—22no—
85C4×D4×C17—22no—
86C4×D4×C17—22no—
87C4×D4×C17D414yes—
88C2×C4⋊C4×C17—28no—
89C2×C4⋊C4×C17—21no—
90C2×C4⋊C4×C17—21no—
91C2×C4⋊C4×C17—21no—
92C2×C4⋊C4×C17—21no—
93C2×C4⋊C4×C17—21no—
94C2×C4⋊C4×C17D411yescharacteristic
95C2×C4⋊C4×C17D411yescharacteristic
96C2×C4⋊C4×C17D411yescharacteristic
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C4⋊C4×C17C2311yescharacteristic
99C2×C4⋊C4×C17C2311yescharacteristic
100C2×C22⋊C4×C17—21no—
101C2×C22⋊C4×C17—21no—
102C2×C22⋊C4×C17—21no—
103C2×C42×C17C2311yescharacteristic
104C2×C42×C17C2311yescharacteristic
105C2×C42×C17C2311yescharacteristic
106C2×#63228—22no—
107C2×#63228—22no—
108C2×#63228Q814yescomplemented
109C2×#63227—21no—
110C2×#63227—21no—
111C2×#63227—21no—
112C2×#63227—21no—
113C2×#63227—21no—
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116C2×C4⋊Dic17C2311yescharacteristic
117C2×#63225—21no—
118C2×#63225—21no—
119C22×#3622C2311yescharacteristic
120C22×#3622C2311yescharacteristic
121C22×#3622C2311yescharacteristic
122C22×#3622C2311yescharacteristic
123C4×D68—22no—
124C4×D68—22no—
125#10587503—22no—
126#10587503—22no—
127#10587503—22no—
128#10587502—21no—
129#10587502—21no—
130#10587502—21no—
131#10587502—21no—
132#10587480—22no—
133#10587480—22no—
134#10587480—22no—
135#10587479—22no—
136#10587478—22no—
137#10587478—22no—
138C4⋊#3622—22no—
139C4×#3622—22no—
140C24×C17—21no—
141C23×D17—21no—
142C2×Q8×C17—24no—
143C2×Q8×C17—22no—
144C2×Q8×C17—22no—
145C2×Q8×C17—41no—
146C2×Q8×C17—81no—
147C2×Q8×C17—81no—
148C2×D4×C17—21no—
149C2×D4×C17—21no—
150C2×D4×C17—21no—
151C2×D4×C17C2×D412yes—
152C2×D4×C17C2×Q812yes—
153C2×D4×C17#4112yes—
154C22×C4×C17—24no—
155C22×C4×C17—21no—
156C22×C4×C17—21no—
157C22×C4×C17—21no—
158C22×C4×C17—24no—
159C22×C4×C17—24no—
160C22×C4×C17—42no—
161C22×C4×C17—42no—
162C22×C4×C17—81no—
163C22×C4×C17—81no—
164C22×C4×C17—81no—
165C22×C4×C17—81no—
166C22×C4×C17C2×D411yescharacteristic
167C22×C4×C17C2×D411yescharacteristic
168C22×C4×C17C2×D411yescharacteristic
169C22×C4×C17C2×D411yescharacteristic
170C22×C4×C17C2×D411yescharacteristic
171C22×C4×C17C2×D411yescharacteristic
172C22×C4×C17C2411yescharacteristic
173C22×Dic17—21no—
174C22×Dic17—21no—
175C22×Dic17—21no—
176C2×D68—21no—
177C2×D68—21no—
178C2×D68—21no—
179C2×D68—21no—
180C2×D68—21no—
181C2×D68C2×Q812yes—
182C2×C4×D17—42no—
183C2×C4×D17—81no—
184C2×C4×D17—81no—
185C4⋊C4×C17—24no—
186C4⋊C4×C17—24no—
187C4⋊C4×C17—24no—
188C4⋊C4×C17—24no—
189C4⋊C4×C17—22no—
190C4⋊C4×C17—22no—
191C4⋊C4×C17—24no—
192C4⋊C4×C17—22no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17C2×D412yes—
197C4⋊C4×C17C2×D412yes—
198C4⋊C4×C17C2×D412yes—
199C22⋊C4×C17—24no—
200C22⋊C4×C17—24no—
201C22⋊C4×C17—24no—
202C42×C17—21no—
203C42×C17—21no—
204C42×C17—21no—
205C42×C17—21no—
206C42×C17C2×D412yes—
207C42×C17C2×D412yes—
208#63228—28no—
209#63227—42no—
210#63227—42no—
211#63227—42no—
212#63227—81no—
213#63227—81no—
214C4⋊Dic17—21no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220#63225—81no—
221#63225—81no—
222C2×#3622—21no—
223C2×#3622—21no—
224C2×#3622—21no—
225C2×#3622—21no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232C2×#3622—21no—
233C2×#3622C2×Q812yes—
234#24335—171nomaximal, Sylow
235C23×C17—22no—
236C23×C17—22no—
237C23×C17—22no—
238C23×C17—41no—
239C23×C17—41no—
240C23×C17—41no—
241C23×C17—41no—
242C23×C17C22×D411yescharacteristic
243C22×D17—22no—
244C22×D17—41no—
245C22×D17—41no—
246C22×D17—41no—
247C22×D17—41no—
248C22×D17—41no—
249C22×D17—41no—
250Q8×C17—44no—
251Q8×C17—84no—
252D4×C17—22no—
253D4×C17—22no—
254D4×C17—22no—
255D4×C17C22⋊Q814yes—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—21no—
260C2×C4×C17—21no—
261C2×C4×C17—21no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—21no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—21no—
269C2×C4×C17—21no—
270C2×C4×C17—21no—
271C2×C4×C17—21no—
272C2×C4×C17—21no—
273C2×C4×C17—21no—
274C2×C4×C17—48no—
275C2×C4×C17—41no—
276C2×C4×C17—41no—
277C2×C4×C17—41no—
278C2×C4×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17—41no—
281C2×C4×C17—84no—
282C2×C4×C17—84no—
283C2×C4×C17#12012yes—
284C2×C4×C17#12012yes—
285C2×C4×C17#13512yes—
286C2×C4×C17C22×D411yescharacteristic
287C2×C4×C17C22×D411yescharacteristic
288C2×C4×C17C22×Q811yescharacteristic
289C2×C4×C17C2×#4111yescharacteristic
290C2×C4×C172−1+411yescharacteristic
291C2×C4×C172−1+411yescharacteristic
292C2×Dic17—41no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301D68—22no—
302D68—22no—
303D68—41no—
304D68—41no—
305C4×D17—84no—
306#3622—22no—
307#3622—41no—
308#3622—41no—
309#3622—41no—
310C2×#554D1711yescharacteristic, complemented
311C2×#478—171no—
312C2×C4×D8—171no—
313#2580—171no—
314#2059—171no—
315#2057—171no—
316#2025—171no—
317#2023—171no—
318#1991—171no—
319#1984—171no—
320#1879—171no—
321#1879—171no—
322#1864—171no—
323#1862—171no—
324#1804—171no—
325C22×C17—24no—
326C22×C17—42no—
327C22×C17—42no—
328C22×C17—42no—
329C22×C17—42no—
330C22×C17—42no—
331C22×C17—42no—
332C22×C17C2×#12011yescharacteristic
333C22×C17#54811yescharacteristic
334C22×C17D4×Q811yescharacteristic
335C22×C17C2×#13511yescharacteristic
336C22×C17#57511yescharacteristic
337C22×C17#57611yescharacteristic
338C22×C17#57611yescharacteristic
339C2×D17—42no—
340C2×D17—42no—
341C2×D17—42no—
342C2×D17—81no—
343C2×D17—81no—
344C2×D17—81no—
345C2×D17—81no—
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—22no—
349C4×C17—41no—
350C4×C17—42no—
351C4×C17—41no—
352C4×C17—41no—
353C4×C17—42no—
354C4×C17—42no—
355C4×C17C2×C22⋊Q811yescharacteristic
356C4×C17#53611yescharacteristic
357C4×C17#54811yescharacteristic
358C4×C17D4×Q811yescharacteristic
359Dic17—81no—
360Dic17—81no—
361Dic17—81no—
362C22×D8—171no—
363#554—24no—
364#554—24no—
365C2×C4⋊Q8C2×D1711yescharacteristic
366C2×#125C2×D1711yescharacteristic
367C2×#125C2×D1711yescharacteristic
368C2×C22⋊Q8—21no—
369C2×C22⋊Q8—21no—
370C2×C22⋊Q8—21no—
371C2×C4×Q8C2×D1711yescharacteristic
372C2×C4×D4—171no—
373C2×C4×D4C2×D1711yescharacteristic
374C2×C4×D4C2×D1711yescharacteristic
375C2×C4×D4C2×D1711yescharacteristic
376C22×C4⋊C4—21no—
377#478—344no—
378C4×D8—344no—
379C2×#107—171no—
380C2×#107—171no—
381C2×#106—171no—
382C2×C4⋊C8—171no—
383C2×#102—171no—
384C2×#102—171no—
385C2×#102—171no—
386C2×#102—171no—
387C2×#102—171no—
388C2×#102—171no—
389C2×C4×C8—171no—
390#399—341no—
391#393—341no—
392#390—171no—
393#390—171no—
394#389—171no—
395#389—171no—
396#385—341no—
397#385—341no—
398#382—171no—
399#340—171no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340—171no—
405#336—171no—
406#336—171no—
407#336—171no—
408#336—171no—
409C2×C17—44no—
410C2×C17#240911yescharacteristic
411C2×C17#300211yescharacteristic
412C2×C17#300811yescharacteristic
413C2×C17#336111yescharacteristic
414C2×C17#337011yescharacteristic
415C2×C17#338011yescharacteristic
416C2×C17#338911yescharacteristic
417D17—82no—
418C22×Q8—21no—
419C22×Q8C22⋊D1711yescharacteristic
420C22×D4—171no—
421C22×D4C22×D1711yescharacteristic
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—341no—
426C2×D8—174no—
427C2×D8—342no—
428C2×D8—342no—
429C22×C8—171no—
430C22×C8—171no—
431C22×C8—171no—
432C22×C8—171no—
433C4⋊Q8—22no—
434C4⋊Q8—22no—
435#125—22no—
436#125—22no—
437#125—22no—
438#125C22⋊D1714yes—
439C22⋊Q8—28no—
440C22⋊Q8—28no—
441C22⋊Q8—28no—
442C4×Q8—22no—
443C4×Q8—22no—
444C4×D4—22no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—22no—
449C4×D4—342no—
450C4×D4—342no—
451C4×D4C22⋊D1714yes—
452C2×C4⋊C4—28no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—171no—
459C2×C4⋊C4—171no—
460C2×C4⋊C4—171no—
461C2×C4⋊C4—341no—
462C2×C4⋊C4—341no—
463C2×C4⋊C4C22⋊D1711yescharacteristic
464C2×C4⋊C4C22⋊D1711yescharacteristic
465C2×C4⋊C4C22⋊D1711yescharacteristic
466C2×C4⋊C4C22×D1711yescharacteristic
467C2×C4⋊C4C22×D1711yescharacteristic
468C2×C4⋊C4C22×D1711yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—341no—
473C2×C22⋊C4—341no—
474C2×C22⋊C4—341no—
475C2×C22⋊C4—341no—
476C2×C22⋊C4—341no—
477C2×C42C22×D1711yescharacteristic
478C2×C42C22×D1711yescharacteristic
479C2×C42C22×D1711yescharacteristic
480#107—342no—
481#107—342no—
482#106—342no—
483C4⋊C8—342no—
484#102—342no—
485#102—342no—
486#102—342no—
487#102—342no—
488#102—342no—
489#102—342no—
490C4×C8—342no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95—341no—
495C17#2433511yescharacteristic, complemented, Sylow
496C24—21no—
497C24—341no—
498C2×Q8—24no—
499C2×Q8—22no—
500C2×Q8—22no—
501C2×Q8—41no—
502C2×Q8—81no—
503C2×Q8—81no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—172no—
508C2×D4—341no—
509C2×D4—341no—
510C2×D4—341no—
511C2×D4—341no—
512C2×D4—341no—
513C2×D4Q8×D1712yes—
514C2×D4#6325612yes—
515C2×D4C2×C22⋊D1712yes—
516C22×C4—24no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—341no—
529C22×C4—341no—
530C22×C4—341no—
531C22×C4—682no—
532C22×C4—1361no—
533C22×C4—1361no—
534C22×C4C2×C22⋊D1711yescharacteristic
535C22×C4C2×C22⋊D1711yescharacteristic
536C22×C4C2×C22⋊D1711yescharacteristic
537C22×C4C2×C22⋊D1711yescharacteristic
538C22×C4C2×C22⋊D1711yescharacteristic
539C22×C4C2×C22⋊D1711yescharacteristic
540C22×C4C23×D1711yescharacteristic
541D8—348no—
542C2×C8—172no—
543C2×C8—341no—
544C2×C8—341no—
545C2×C8—341no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—341no—
551C2×C8—341no—
552C2×C8—341no—
553C2×C8—341no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—341no—
566C4⋊C4—341no—
567C4⋊C4—341no—
568C4⋊C4—341no—
569C4⋊C4—341no—
570C4⋊C4—341no—
571C4⋊C4—1361no—
572C4⋊C4—1361no—
573C4⋊C4C2×C22⋊D1712yes—
574C4⋊C4C2×C22⋊D1712yes—
575C4⋊C4C2×C22⋊D1712yes—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—682no—
580C22⋊C4—682no—
581C22⋊C4—682no—
582C22⋊C4—1361no—
583C22⋊C4—1361no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42C2×C22⋊D1712yes—
589C42C2×C22⋊D1712yes—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—342no—
598C23—681no—
599C23—681no—
600C23—681no—
601C23—681no—
602C23—681no—
603C23—681no—
604C23C22×C22⋊D1711yescharacteristic
605Q8—44no—
606Q8—84no—
607D4—22no—
608D4—22no—
609D4—22no—
610D4—342no—
611D4—342no—
612D4—681no—
613D4—681no—
614D4#1058763214yes—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—48no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—84no—
641C2×C4—84no—
642C2×C4—681no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—681no—
646C2×C4—681no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—681no—
650C2×C4—681no—
651C2×C4—1364no—
652C2×C4#1058763612yes—
653C2×C4#1058763912yes—
654C2×C4#1058763912yes—
655C2×C4C2×Q8×D1711yescharacteristic
656C2×C4C2×#6325611yescharacteristic
657C2×C4#1058769411yescharacteristic
658C2×C4#1058769411yescharacteristic
659C2×C4C22×C22⋊D1711yescharacteristic
660C2×C4C22×C22⋊D1711yescharacteristic
661C8—342no—
662C8—681no—
663C8—681no—
664C8—681no—
665C22—24no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—682no—
673C22—682no—
674C22—682no—
675C22—1361no—
676C22—1361no—
677C22—1361no—
678C22—1361no—
679C22C2×#1058763911yescharacteristic
680C22#1176347011yescharacteristic
681C22Q8×C22⋊D1711yescharacteristic
682C22C2×#1058763611yescharacteristic
683C22#1176360711yescharacteristic
684C22#1176361211yescharacteristic
685C22#1176361211yescharacteristic
686C4—22no—
687C4—22no—
688C4—22no—
689C4—41no—
690C4—42no—
691C4—41no—
692C4—41no—
693C4—42no—
694C4—42no—
695C4—1361no—
696C4—1361no—
697C4—1361no—
698C4C2×#1058763211yescharacteristic
699C4#1176338311yescharacteristic
700C4#1176347011yescharacteristic
701C4Q8×C22⋊D1711yescharacteristic
702C2—44no—
703C2—1362no—
704C2#1453214311yescharacteristic
705C2#1453800211yescharacteristic
706C2#1453805211yescharacteristic
707C2#1454144411yescharacteristic
708C2#1454153711yescharacteristic
709C2#1454164711yescharacteristic
710C2#1454173811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC2×C17×#554C2
socleC23×C17C22×D4
prime radicalC22×#63228C22
hypercenterC2×#554D17
hypocenterC17#24335
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×#11763106C2semidirect
3. #14534142C2semidirect
4. #14530119C2semidirect
5. #14530109C2semidirect
6. #14529927C2semidirect
7. #14529917C2semidirect
8. #14529750C2semidirect
9. #14529721C2semidirect
12. #14529045C2semidirect
13. #14529031C2semidirect
14. #14528794C2semidirect
15. C2×C17×#554C2semidirect
108. C2×#63228Q8semidirect
310. C2×#554D17semidirect
495. C17#24335semidirect

Maximal subgroups

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

subgroupindex
C2×#117631062
C2×C4×#632282
#145341422
#145301192
#145301092
#145299272
#145299172
#145297502
#145297212
#145291322
#145290452
#145290312
#145287942
C2×C17×#5542
#2433517