Finite Group Databasebeta

← #17078045

Subgroups — #17078045

Order 4352.

958 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
1C2×#11763147C211yesmaximal, characteristic, complemented
2C2×#11762818C211yesmaximal, characteristic, complemented
3#14531733C211yesmaximal, characteristic
4#14530327C211yesmaximal, characteristic, complemented
5#14530192C211yesmaximal, characteristic, complemented
6#14529984C211yesmaximal, characteristic, complemented
7#14529977C211yesmaximal, characteristic, complemented
8#14529422C211yesmaximal, characteristic, complemented
9#14529422C211yesmaximal, characteristic, complemented
10#14529097C211yesmaximal, characteristic, complemented
11#14529082C211yesmaximal, characteristic
12#14528981C211yesmaximal, characteristic, complemented
13#14528815C211yesmaximal, characteristic, complemented
14#14528719C211yesmaximal, characteristic, complemented
15C17×#2409C211yesmaximal, characteristic
16C22×#63223C2211yescharacteristic
17C2×#10587612C2211yescharacteristic
18C2×#10587612C2211yescharacteristic
19#11763147—24no—
20C2×#10587478C2211yescharacteristic
21C2×#10587478C2211yescharacteristic
22C2×#10587479C2211yescharacteristic
23C2×#10587479C2211yescharacteristic
24#11762818—24no—
25C2×#10587506C2211yescharacteristic
26C2×#10587506C2211yescharacteristic
27C2×#10587506C2211yescharacteristic
28C2×#10587506C2211yescharacteristic
29C2×#10587506C2211yescharacteristic
30C2×#10587506C2211yescharacteristic
31C2×#10587506C2211yescharacteristic
32C2×#10587506C2211yescharacteristic
33C2×C22⋊#3622C2211yescharacteristic
34C2×C22⋊#3622C2211yescharacteristic
35C2×C22⋊#3622C2211yescharacteristic
36#11762712—21no—
37#11762702—21no—
38#11762702—21no—
39#11762679C2211yescharacteristic
40#11762669C2211yescharacteristic
41#11762669C2211yescharacteristic
42C4⋊C4×Dic17—21no—
43C4×C4⋊Dic17C2211yescharacteristic
44#11762571C2211yescharacteristic
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762564C2211yescharacteristic
49#11762564C2211yescharacteristic
50C23×Q8×C17C2211yescharacteristic
51C2×C17×C22⋊Q8C2211yescharacteristic
52C2×C17×C22⋊Q8C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C17×#395—21no—
55C17×#393—21no—
56C17×#391C2211yescharacteristic
57C17×#391C2211yescharacteristic
58C17×#386—21no—
59C17×#385—21no—
60C17×#380C2211yescharacteristic
61C22×Q8×C17—21no—
62C22×Q8×C17—22no—
63C22×Q8×C17—22no—
64C22×Q8×C17—22no—
65C22×Q8×C17—22no—
66C22×Q8×C17—41no—
67C22×Q8×C17—41no—
68C22×Q8×C17C2311yescharacteristic
69C22×Q8×C17C2311yescharacteristic
70C22×D4×C17D411yescharacteristic
71C23×C4×C17—21no—
72C23×C4×C17C2311yescharacteristic
73C23×C4×C17C2311yescharacteristic
74C17×C22⋊Q8—22no—
75C17×C22⋊Q8—22no—
76C17×C22⋊Q8—41no—
77C17×C22⋊Q8—41no—
78C4×D4×C17—22no—
79C4×D4×C17—22no—
80C2×C4⋊C4×C17—21no—
81C2×C4⋊C4×C17—21no—
82C2×C4⋊C4×C17D411yescharacteristic
83C2×C4⋊C4×C17C2311yescharacteristic
84C2×C4⋊C4×C17C2311yescharacteristic
85C2×C22⋊C4×C17—21no—
86C2×C22⋊C4×C17—21no—
87C2×C22⋊C4×C17—21no—
88C2×C22⋊C4×C17D411yescharacteristic
89C2×C22⋊C4×C17D411yescharacteristic
90C2×C42×C17C2311yescharacteristic
91C2×C22⋊Dic17—21no—
92C2×C22⋊Dic17—21no—
93C2×C22⋊Dic17—21no—
94C2×C22⋊Dic17—21no—
95#10587612—22no—
96#10587612—22no—
97#10587612—41no—
98#10587612—41no—
99C2×C4⋊Dic17—21no—
100C2×C4⋊Dic17—21no—
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103C2×C4⋊Dic17C2311yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4×Dic17—21no—
106C2×C4×Dic17—21no—
107C2×C4×Dic17—21no—
108C2×#63223—22no—
109C2×#63223—22no—
110C2×#63223—41no—
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C22×#3622C2311yescharacteristic
115C17×#95—21no—
116C17×#95—21no—
117C17×#95—21no—
118C17×#95—21no—
119C17×#95—21no—
120#10587506—22no—
121#10587506—22no—
122#10587506—22no—
123#10587506—22no—
124#10587506—22no—
125#10587506—41no—
126#10587506—41no—
127#10587506D414yescomplemented
128#10587502—21no—
129#10587502—21no—
130#10587502—21no—
131C22⋊#3622—22no—
132C22⋊#3622—22no—
133C22⋊#3622—41no—
134#10587479—22no—
135#10587479—41no—
136#10587478—22no—
137#10587478—41no—
138C24×C17C2×D411yescharacteristic
139C24×C17C2×D411yescharacteristic
140C2×Q8×C17—21no—
141C2×Q8×C17—21no—
142C2×Q8×C17—28no—
143C2×Q8×C17—21no—
144C2×Q8×C17—21no—
145C2×Q8×C17—21no—
146C2×Q8×C17—21no—
147C2×Q8×C17—21no—
148C2×Q8×C17—21no—
149C2×Q8×C17—21no—
150C2×Q8×C17—21no—
151C2×Q8×C17—42no—
152C2×Q8×C17—42no—
153C2×Q8×C17—44no—
154C2×Q8×C17—44no—
155C2×Q8×C17—44no—
156C2×Q8×C17—42no—
157C2×Q8×C17C2×D412yes—
158C2×Q8×C17#4112yes—
159C2×D4×C17—22no—
160C2×D4×C17—22no—
161C2×D4×C17—41no—
162C22×C4×C17—21no—
163C22×C4×C17—21no—
164C22×C4×C17—21no—
165C22×C4×C17—21no—
166C22×C4×C17—21no—
167C22×C4×C17—21no—
168C22×C4×C17—21no—
169C22×C4×C17—21no—
170C22×C4×C17—21no—
171C22×C4×C17—21no—
172C22×C4×C17—21no—
173C22×C4×C17—21no—
174C22×C4×C17—21no—
175C22×C4×C17—21no—
176C22×C4×C17—42no—
177C22×C4×C17—42no—
178C22×C4×C17—42no—
179C22×C4×C17C2×D411yescharacteristic
180C22×C4×C17C2×D411yescharacteristic
181C22×C4×C17C2×D411yescharacteristic
182C22×C4×C17C2×D411yescharacteristic
183C22×C4×C17#4112yes—
184C22×C4×C17#4112yes—
185C22×C4×C17C2411yescharacteristic
186C22×Dic17—21no—
187C22×Dic17—21no—
188C22×Dic17—21no—
189C22×Dic17—21no—
190C4⋊C4×C17—22no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—42no—
196C4⋊C4×C17—42no—
197C22⋊C4×C17—22no—
198C22⋊C4×C17—22no—
199C22⋊C4×C17—42no—
200C22⋊C4×C17—42no—
201C22⋊C4×C17—42no—
202C42×C17—21no—
203C42×C17—21no—
204C22⋊Dic17—42no—
205C22⋊Dic17—42no—
206C22⋊Dic17—81no—
207C22⋊Dic17—81no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17—42no—
216C4⋊Dic17—81no—
217C4⋊Dic17C2×D412yes—
218C4×Dic17—42no—
219C4×Dic17—42no—
220C4×Dic17—42no—
221#63223—44no—
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×D412yes—
234#24892—171nomaximal, Sylow
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—21no—
241C23×C17—21no—
242C23×C17—21no—
243C23×C17—21no—
244C23×C17—21no—
245C23×C17—21no—
246C23×C17—21no—
247C23×C17—21no—
248C23×C17#12312yes—
249C23×C17C22×D411yescharacteristic
250Q8×C17—22no—
251Q8×C17—22no—
252Q8×C17—22no—
253Q8×C17—22no—
254Q8×C17—48no—
255Q8×C17—41no—
256Q8×C17—41no—
257Q8×C17—41no—
258Q8×C17—41no—
259D4×C17—44no—
260C2×C4×C17—21no—
261C2×C4×C17—21no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—21no—
269C2×C4×C17—21no—
270C2×C4×C17—22no—
271C2×C4×C17—21no—
272C2×C4×C17—22no—
273C2×C4×C17—21no—
274C2×C4×C17—21no—
275C2×C4×C17—21no—
276C2×C4×C17—48no—
277C2×C4×C17—41no—
278C2×C4×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17—41no—
281C2×C4×C17—41no—
282C2×C4×C17—41no—
283C2×C4×C17—41no—
284C2×C4×C17—41no—
285C2×C4×C17—41no—
286C2×C4×C17—41no—
287C2×C4×C17—41no—
288C2×C4×C17—41no—
289C2×C4×C17—41no—
290C2×C4×C17—41no—
291C2×C4×C17#12312yes—
292C2×C4×C17#13712yes—
293C2×C4×C17C22×D411yescharacteristic
294C2×C4×C17C2×#4111yescharacteristic
295C2×C4×C17C2×#4111yescharacteristic
296C2×C4×C17C2×#4111yescharacteristic
297C2×C4×C17H(5,𝔽2)11yescharacteristic
298C2×C4×C17H(5,𝔽2)11yescharacteristic
299C2×Dic17—22no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—41no—
303C2×Dic17—41no—
304C2×Dic17—41no—
305C2×Dic17—41no—
306C2×Dic17—41no—
307C2×Dic17—41no—
308C2×Dic17—41no—
309C2×Dic17—41no—
310C2×Dic17—41no—
311#3622—22no—
312#3622—41no—
313#3622—41no—
314#3622—41no—
315C2×#485—171no—
316C2×#419—171no—
317#2409D1711yescharacteristic
318#2354—171no—
319#2096—171no—
320#2072—171no—
321#2036—171no—
322#2035—171no—
323#1928—171no—
324#1928—171no—
325#1873—171no—
326#1870—171no—
327#1854—171no—
328#1809—171no—
329#1787—171no—
330C22×C17—22no—
331C22×C17—22no—
332C22×C17—22no—
333C22×C17—41no—
334C22×C17—41no—
335C22×C17—41no—
336C22×C17—41no—
337C22×C17—41no—
338C22×C17—41no—
339C22×C17—41no—
340C22×C17—41no—
341C22×C17—41no—
342C22×C17—41no—
343C22×C17—41no—
344C22×C17C2×#12311yescharacteristic
345C22×C17D4211yescharacteristic
346C22×C17#54611yescharacteristic
347C22×C17C2×#13711yescharacteristic
348C22×C17#57511yescharacteristic
349C22×C17#57711yescharacteristic
350C22×C17#57811yescharacteristic
351C4×C17—22no—
352C4×C17—22no—
353C4×C17—41no—
354C4×C17—41no—
355C4×C17—42no—
356C4×C17—42no—
357C4×C17—81no—
358C4×C17—81no—
359C4×C17#52511yescharacteristic
360C4×C17#53811yescharacteristic
361C4×C17#54611yescharacteristic
362C4×C17#55111yescharacteristic
363Dic17—42no—
364Dic17—81no—
365Dic17—81no—
366Dic17—81no—
367C23×Q8C2×D1711yescharacteristic
368C22×M16—171no—
369C2×C22⋊Q8C2×D1711yescharacteristic
370C2×C22⋊Q8C2×D1711yescharacteristic
371C2×C4×D4C2×D1711yescharacteristic
372C2×#117—171no—
373C2×#117—171no—
374#485—344no—
375C2×#107—171no—
376C2×#107—171no—
377C2×#106—171no—
378C2×#106—171no—
379#419—344no—
380C2×#103—171no—
381C2×#103—171no—
382C2×#103—171no—
383C2×#103—171no—
384C2×#103—171no—
385C2×#103—171no—
386C2×#103—171no—
387C2×#103—171no—
388C2×C22⋊C8—171no—
389C2×C22⋊C8—171no—
390C2×C22⋊C8—171no—
391#395—21no—
392#393—21no—
393#391C2×D1711yescharacteristic
394#391C2×D1711yescharacteristic
395#390—341no—
396#388—341no—
397#388—341no—
398#386—21no—
399#385—21no—
400#384—171no—
401#380—171no—
402#380—171no—
403#380C2×D1711yescharacteristic
404C4×C4⋊C4—171no—
405C4×C4⋊C4—341no—
406#340—171no—
407#340—171no—
408#340—171no—
409#340—171no—
410#336—171no—
411#336—171no—
412C2×C17—42no—
413C2×C17—81no—
414C2×C17#241811yescharacteristic
415C2×C17#309511yescharacteristic
416C2×C17#309711yescharacteristic
417C2×C17#326911yescharacteristic
418C2×C17#327811yescharacteristic
419C2×C17#332111yescharacteristic
420C2×C17#332811yescharacteristic
421C22×Q8—21no—
422C22×Q8—22no—
423C22×Q8—22no—
424C22×Q8—22no—
425C22×Q8—22no—
426C22×Q8—41no—
427C22×Q8—41no—
428C22×Q8C22×D1711yescharacteristic
429C22×Q8C22×D1711yescharacteristic
430C22×D4C22⋊D1711yescharacteristic
431C23×C4—21no—
432C23×C4C22×D1711yescharacteristic
433C23×C4C22×D1711yescharacteristic
434C2×M16—342no—
435C2×M16—342no—
436C2×M16—681no—
437C22×C8—171no—
438C22×C8—171no—
439C22×C8—171no—
440C22×C8—171no—
441C22⋊Q8—22no—
442C22⋊Q8—22no—
443C22⋊Q8—41no—
444C22⋊Q8—41no—
445C4×D4—22no—
446C4×D4—22no—
447#117—342no—
448#117—342no—
449#117—681no—
450#117—681no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4—171no—
456C2×C4⋊C4—171no—
457C2×C4⋊C4—341no—
458C2×C4⋊C4—341no—
459C2×C4⋊C4C22⋊D1711yescharacteristic
460C2×C4⋊C4C22×D1711yescharacteristic
461C2×C4⋊C4C22×D1711yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4—341no—
467C2×C22⋊C4—341no—
468C2×C22⋊C4—341no—
469C2×C22⋊C4C22⋊D1711yescharacteristic
470C2×C22⋊C4C22⋊D1711yescharacteristic
471C2×C42—341no—
472C2×C42—341no—
473C2×C42—341no—
474C2×C42C22×D1711yescharacteristic
475#107—342no—
476#107—681no—
477#106—342no—
478#106—681no—
479#103—174no—
480#103—342no—
481#103—342no—
482#103—342no—
483#103—342no—
484#103—342no—
485#103—681no—
486#103—681no—
487C22⋊C8—342no—
488C22⋊C8—342no—
489C22⋊C8—681no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—341no—
496#95—341no—
497#95—341no—
498C17#2489211yescharacteristic, complemented, Sylow
499C24C2×C22⋊D1711yescharacteristic
500C24C2×C22⋊D1711yescharacteristic
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—28no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—42no—
513C2×Q8—42no—
514C2×Q8—44no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8—42no—
518C2×Q8D4×D1712yes—
519C2×Q8#6325412yes—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—41no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—341no—
541C22×C4—341no—
542C22×C4—341no—
543C22×C4—341no—
544C22×C4#6325412yes—
545C22×C4#6325412yes—
546C22×C4C2×C22⋊D1711yescharacteristic
547C22×C4C2×C22⋊D1711yescharacteristic
548C22×C4C2×C22⋊D1711yescharacteristic
549C22×C4C2×C22⋊D1711yescharacteristic
550C22×C4C23×D1711yescharacteristic
551M16—684no—
552C2×C8—172no—
553C2×C8—341no—
554C2×C8—341no—
555C2×C8—341no—
556C2×C8—341no—
557C2×C8—341no—
558C2×C8—341no—
559C2×C8—341no—
560C2×C8—341no—
561C2×C8—341no—
562C2×C8—341no—
563C2×C8—341no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—172no—
572C4⋊C4—341no—
573C4⋊C4—341no—
574C4⋊C4—341no—
575C4⋊C4—341no—
576C4⋊C4—341no—
577C4⋊C4—341no—
578C4⋊C4—341no—
579C4⋊C4—682no—
580C4⋊C4—1361no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—682no—
587C22⋊C4—682no—
588C22⋊C4—1361no—
589C22⋊C4—1361no—
590C42—21no—
591C42—21no—
592C42—682no—
593C42—682no—
594C42—682no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23#1058762112yes—
609C23C22×C22⋊D1711yescharacteristic
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—48no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619D4—44no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—48no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—342no—
652C2×C4—681no—
653C2×C4—681no—
654C2×C4—681no—
655C2×C4—681no—
656C2×C4—681no—
657C2×C4—681no—
658C2×C4—681no—
659C2×C4—681no—
660C2×C4—681no—
661C2×C4—681no—
662C2×C4—681no—
663C2×C4#1058762112yes—
664C2×C4#1058762812yes—
665C2×C4C2×D4×D1711yescharacteristic
666C2×C4C2×#6325411yescharacteristic
667C2×C4C2×#6325411yescharacteristic
668C2×C4C2×#6325411yescharacteristic
669C2×C4#1058769111yescharacteristic
670C2×C4#1058769111yescharacteristic
671C8—342no—
672C8—681no—
673C8—681no—
674C8—681no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22C2×#1058762111yescharacteristic
690C22D4×C22⋊D1711yescharacteristic
691C22#1176345311yescharacteristic
692C22C2×#1058762811yescharacteristic
693C22#1176360711yescharacteristic
694C22#1176361711yescharacteristic
695C22#1176362411yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—42no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4—682no—
705C4—1361no—
706C4—1361no—
707C4—1361no—
708C4#1176331511yescharacteristic
709C4#1176339411yescharacteristic
710C4#1176344611yescharacteristic
711C4#1176349011yescharacteristic
712C2—42no—
713C2—81no—
714C2#1453224211yescharacteristic
715C2#1453872811yescharacteristic
716C2#1453874711yescharacteristic
717C2#1454034011yescharacteristic
718C2#1454044611yescharacteristic
719C2#1454097011yescharacteristic
720C2#1454106711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC17×#2409C2
socleC23×C17C22×D4
prime radicalC22×D4×C17D4
hypercenter#2409D17
hypocenterC17#24892
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2409

Complements

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

NH ≅ G/Ntype
1. C2×#11763147C2semidirect
2. C2×#11762818C2semidirect
4. #14530327C2semidirect
5. #14530192C2semidirect
6. #14529984C2semidirect
7. #14529977C2semidirect
8. #14529422C2semidirect
9. #14529422C2semidirect
10. #14529097C2semidirect
12. #14528981C2semidirect
13. #14528815C2semidirect
14. #14528719C2semidirect
127. #10587506D4semidirect
498. C17#24892semidirect

Maximal subgroups

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

subgroupindex
C2×#117631472
C2×#117628182
#145317332
#145303272
#145301922
#145299842
#145299772
#145294222
#145290972
#145290822
#145289812
#145288152
#145287192
C17×#24092
#2489217