Finite Group Databasebeta

← #17054686

Subgroups — #17054686

Order 4352.

1090 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762971C211yesmaximal, characteristic
2C2×#11762913C211yesmaximal, characteristic, complemented
3#14531811C211yesmaximal, characteristic, complemented
4#14531625C211yesmaximal, characteristic
5#14529666C211yesmaximal, characteristic, complemented
6#14529478C211yesmaximal, characteristic, complemented
7#14529414C211yesmaximal, characteristic, complemented
8#14529207C211yesmaximal, characteristic, complemented
9#14529136C211yesmaximal, characteristic, complemented
10#14529123C211yesmaximal, characteristic, complemented
11#14529036C211yesmaximal, characteristic, complemented
12#14528983C211yesmaximal, characteristic, complemented
13#14528616C211yesmaximal, characteristic, complemented
14#14528560C211yesmaximal, characteristic, complemented
15C2×C17×#416C211yesmaximal, characteristic
16C22×#63231C2211yescharacteristic
17C22×#63229C2211yescharacteristic
18C2×#10587610C2211yescharacteristic
19C2×Q8×Dic17C2211yescharacteristic
20C2×Q8×Dic17C2211yescharacteristic
21C2×#10587573C2211yescharacteristic
22#11762971C418yescomplemented
23#11762913—24no—
24C2×#10587478C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26C2×#10587487C2211yescharacteristic
27C2×#10587487C2211yescharacteristic
28C2×#10587506C2211yescharacteristic
29C2×#10587503C2211yescharacteristic
30C2×C22⋊#3622C2211yescharacteristic
31C2×#10587486C2211yescharacteristic
32C2×#10587486C2211yescharacteristic
33#11762714C2211yescharacteristic
34#11762712—21no—
35#11762712—21no—
36#11762712C2211yescharacteristic
37#11762712C2211yescharacteristic
38#11762705C2211yescharacteristic
39#11762703—21no—
40#11762697—21no—
41#11762693—21no—
42#11762669—21no—
43#11762669C2211yescharacteristic
44C4⋊C4×Dic17C2211yescharacteristic
45C4×#63225—21no—
46C4×C22⋊Dic17—21no—
47C4×C22⋊Dic17C2211yescharacteristic
48#11762572C2211yescharacteristic
49#11762572C2211yescharacteristic
50#11762571C2211yescharacteristic
51#11762571C2211yescharacteristic
52#11762563C2211yescharacteristic
53#11762563C2211yescharacteristic
54C22×#41×C17C2211yescharacteristic
55C23×C8×C17C2211yescharacteristic
56C2×C17×#117C2211yescharacteristic
57C17×#416—24no—
58C2×C17×#103C2211yescharacteristic
59C2×C17×#103C2211yescharacteristic
60C2×C17×#102C2211yescharacteristic
61C2×C17×#102C2211yescharacteristic
62C2×#41×C17—22no—
63C2×#41×C17—22no—
64C2×#41×C17—22no—
65C2×#41×C17—41no—
66C2×#41×C17—41no—
67C2×#41×C17C2×C414yes—
68C22×Q8×C17C2311yescharacteristic
69C22×D4×C17—21no—
70C22×D4×C17C2311yescharacteristic
71C23×C4×C17—21no—
72C23×C4×C17C2311yescharacteristic
73C22×Dic34C2311yescharacteristic
74C22×C8×C17—22no—
75C22×C8×C17—22no—
76C22×C8×C17—41no—
77C22×C8×C17C2311yescharacteristic
78C22×C8×C17C2311yescharacteristic
79C17×#117—22no—
80C17×#117—41no—
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C4⋊C4×C17C2311yescharacteristic
83C2×C22⋊C4×C17—21no—
84C2×C42×C17—21no—
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×C22⋊Dic17—21no—
88C2×C22⋊Dic17—21no—
89C2×C22⋊Dic17—21no—
90C2×C22⋊Dic17—21no—
91C2×C22⋊Dic17D411yescharacteristic
92C2×C22⋊Dic17D411yescharacteristic
93Q8×Dic17—22no—
94Q8×Dic17—22no—
95Q8×Dic17—41no—
96Q8×Dic17—41no—
97C2×#63231—22no—
98C2×#63231—22no—
99C2×#63231C2×C414yes—
100C2×#63229—41no—
101C2×#63229—41no—
102C2×#63229C2×C414yes—
103C2×C4⋊Dic17—21no—
104C2×C4⋊Dic17—21no—
105C2×C4⋊Dic17C2311yescharacteristic
106C2×C4⋊Dic17C2311yescharacteristic
107C2×C4⋊Dic17C2311yescharacteristic
108#10587610—22no—
109#10587610C2×C414yes—
110C2×#63225—21no—
111C2×#63225—21no—
112C2×#63225—21no—
113C2×C4×Dic17—21no—
114C2×C4×Dic17—21no—
115C2×C4×Dic17—21no—
116C2×C4×Dic17—21no—
117C2×C4×Dic17C2311yescharacteristic
118C2×C4×Dic17C2311yescharacteristic
119C22×#3622C2311yescharacteristic
120C22×#3622C2311yescharacteristic
121#10587573—22no—
122#10587573—41no—
123C17×#103—22no—
124C17×#103D414yes—
125C17×#102—22no—
126C17×#102—22no—
127#10587506C2×C414yes—
128#10587503C2×C414yes—
129#10587502—21no—
130#10587502—21no—
131#10587502—21no—
132#10587502—21no—
133#10587502—21no—
134#10587502D411yescharacteristic
135#10587502D411yescharacteristic
136C22⋊#3622C2×C414yes—
137#10587487—22no—
138#10587487—41no—
139#10587486—22no—
140#10587486—41no—
141#10587479—22no—
142#10587478—41no—
143C24×C17—21no—
144C24×C17C2×D411yescharacteristic
145#41×C17—28no—
146#41×C17—44no—
147#41×C17—44no—
148#41×C17—44no—
149C2×Q8×C17—21no—
150C2×Q8×C17—21no—
151C2×Q8×C17—21no—
152C2×Q8×C17C22×C412yes—
153C2×Q8×C17C2×D412yes—
154C2×Q8×C17#4112yes—
155C2×D4×C17—24no—
156C2×D4×C17—21no—
157C2×D4×C17—21no—
158C2×D4×C17—21no—
159C2×D4×C17—21no—
160C2×D4×C17—21no—
161C2×D4×C17—42no—
162C2×D4×C17—42no—
163C2×D4×C17C22×C412yes—
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—24no—
171C22×C4×C17—21no—
172C22×C4×C17—42no—
173C22×C4×C17—42no—
174C22×C4×C17C22×C412yes—
175C22×C4×C17C2×D411yescharacteristic
176C22×C4×C17#4112yes—
177C22×C4×C17C2411yescharacteristic
178C22×Dic17—21no—
179C22×Dic17—21no—
180C22×Dic17—21no—
181C22×Dic17—21no—
182C22×Dic17C2×D411yescharacteristic
183C22×Dic17C2×D411yescharacteristic
184C22×Dic17C2×D411yescharacteristic
185C22×Dic17C2×D411yescharacteristic
186C2×Dic34—21no—
187C2×Dic34—21no—
188C2×Dic34—21no—
189C2×Dic34—21no—
190C2×Dic34—21no—
191C2×Dic34C22×C412yes—
192C2×C8×C17—21no—
193C2×C8×C17—21no—
194C2×C8×C17—21no—
195C2×C8×C17—21no—
196C2×C8×C17—21no—
197C2×C8×C17—44no—
198C2×C8×C17C2×D412yes—
199C4⋊C4×C17—21no—
200C4⋊C4×C17—21no—
201C4⋊C4×C17—21no—
202C4⋊C4×C17C2×D412yes—
203C22⋊C4×C17—42no—
204C42×C17—42no—
205C22⋊Dic17—24no—
206C22⋊Dic17—41no—
207C22⋊Dic17—41no—
208C22⋊Dic17—42no—
209C22⋊Dic17—42no—
210C22⋊Dic17—81no—
211C22⋊Dic17—81no—
212C22⋊Dic17—81no—
213#63231—28no—
214#63229—44no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4⋊Dic17—42no—
221C4⋊Dic17—42no—
222C4⋊Dic17C22×C412yes—
223#63225—24no—
224#63225—42no—
225#63225—42no—
226C4×Dic17—21no—
227C4×Dic17—21no—
228C4×Dic17—21no—
229C4×Dic17—21no—
230C4×Dic17—42no—
231C4×Dic17—42no—
232C4×Dic17—42no—
233C4×Dic17—42no—
234C2×#3622—21no—
235C2×#3622—21no—
236C2×#3622—21no—
237C2×#3622—21no—
238C2×#3622C22×C412yes—
239C2×#3622C22×C412yes—
240#22861—171nomaximal, Sylow
241C23×C17—21no—
242C23×C17—21no—
243C23×C17—21no—
244C23×C17—21no—
245C23×C17—21no—
246C23×C17—21no—
247C23×C17—22no—
248C23×C17—41no—
249C23×C17—41no—
250C23×C17—41no—
251C23×C17—41no—
252C23×C17—41no—
253C23×C17—41no—
254C23×C17C4×D412yes—
255C23×C17C22×D411yescharacteristic
256Q8×C17—22no—
257Q8×C17—22no—
258Q8×C17—22no—
259Q8×C17C4×D414yes—
260D4×C17—22no—
261D4×C17—22no—
262D4×C17—48no—
263D4×C17—41no—
264D4×C17—41no—
265C2×C4×C17—22no—
266C2×C4×C17—21no—
267C2×C4×C17—22no—
268C2×C4×C17—21no—
269C2×C4×C17—22no—
270C2×C4×C17—22no—
271C2×C4×C17—22no—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—22no—
275C2×C4×C17—48no—
276C2×C4×C17—41no—
277C2×C4×C17—41no—
278C2×C4×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17—41no—
281C2×C4×C17C4×D412yes—
282C2×C4×C17C23×C411yescharacteristic
283C2×C4×C17C22×D411yescharacteristic
284C2×C4×C17C2×#4111yescharacteristic
285C2×C4×C17C2×#4111yescharacteristic
286C2×C4×C17H(5,𝔽2)11yescharacteristic
287C2×C4×C17H(5,𝔽2)11yescharacteristic
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—21no—
291C2×Dic17—21no—
292C2×Dic17—21no—
293C2×Dic17—21no—
294C2×Dic17—21no—
295C2×Dic17—21no—
296C2×Dic17—21no—
297C2×Dic17—21no—
298C2×Dic17—21no—
299C2×Dic17—21no—
300C2×Dic17—21no—
301C2×Dic17—21no—
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—
311C2×Dic17—41no—
312Dic34—22no—
313Dic34—22no—
314Dic34—41no—
315Dic34—41no—
316C8×C17—22no—
317C8×C17—41no—
318#3622—22no—
319#3622—22no—
320C2×#452—171no—
321C2×#441—171no—
322C2×#416D1711yescharacteristic
323#2362—171no—
324#2341—171no—
325#1973—171no—
326#1936—171no—
327#1926—171no—
328#1892—171no—
329#1880—171no—
330#1878—171no—
331#1863—171no—
332#1854—171no—
333#1763—171no—
334#1752—171no—
335C22×C17—22no—
336C22×C17—22no—
337C22×C17—22no—
338C22×C17—41no—
339C22×C17—41no—
340C22×C17—41no—
341C22×C17—41no—
342C22×C17—42no—
343C22×C17—42no—
344C22×C17—42no—
345C22×C17—81no—
346C22×C17—81no—
347C22×C17—81no—
348C22×C17—81no—
349C22×C17C2×C4×D411yescharacteristic
350C22×C17D4211yescharacteristic
351C22×C17#54611yescharacteristic
352C22×C17#57511yescharacteristic
353C22×C17#57511yescharacteristic
354C22×C17#57711yescharacteristic
355C22×C17#57811yescharacteristic
356C4×C17—22no—
357C4×C17—24no—
358C4×C17—42no—
359C4×C17—81no—
360C4×C17C2×C4×D411yescharacteristic
361C4×C17#51811yescharacteristic
362C4×C17#54611yescharacteristic
363C4×C17#55111yescharacteristic
364Dic17—42no—
365Dic17—42no—
366Dic17—41no—
367Dic17—41no—
368Dic17—41no—
369Dic17—41no—
370Dic17—81no—
371Dic17—81no—
372C22×#41C2×D1711yescharacteristic
373C22×Q16—171no—
374C22×SD16—171no—
375C23×C8C2×D1711yescharacteristic
376C2×C22⋊Q8—171no—
377C2×C4×Q8—171no—
378C2×C4×Q8—171no—
379C2×C4×Q8—171no—
380C2×#117C2×D1711yescharacteristic
381#452—178no—
382#441—344no—
383C2×#107—171no—
384C2×#106—171no—
385#416—24no—
386C2×#103—171no—
387C2×#103—171no—
388C2×#103—171no—
389C2×#103C2×D1711yescharacteristic
390C2×#103C2×D1711yescharacteristic
391C2×#102—171no—
392C2×#102C2×D1711yescharacteristic
393C2×#102C2×D1711yescharacteristic
394C2×C22⋊C8—171no—
395C2×#97—171no—
396C2×#97—171no—
397#391—171no—
398#390—171no—
399#390—171no—
400#390—341no—
401#390—341no—
402#389—171no—
403#388—341no—
404#388—341no—
405#387—341no—
406#380—171no—
407#380—341no—
408C4×C4⋊C4—171no—
409C4×C4⋊C4—341no—
410C4×C22⋊C4—171no—
411C4×C22⋊C4—341no—
412#340—171no—
413#340—171no—
414#340—171no—
415#340—171no—
416#336—171no—
417#336—171no—
418C2×C17—42no—
419C2×C17—82no—
420C2×C17#235811yescharacteristic
421C2×C17#294311yescharacteristic
422C2×C17#294711yescharacteristic
423C2×C17#326911yescharacteristic
424C2×C17#327111yescharacteristic
425C2×C17#331311yescharacteristic
426C2×C17#331711yescharacteristic
427C2×#41—22no—
428C2×#41—22no—
429C2×#41—22no—
430C2×#41—41no—
431C2×#41—41no—
432C2×#41C4×D1714yes—
433C22×Q8—171no—
434C22×Q8C22×D1711yescharacteristic
435C22×D4—21no—
436C22×D4C22×D1711yescharacteristic
437C23×C4—21no—
438C23×C4C22×D1711yescharacteristic
439C2×Q16—174no—
440C2×Q16—342no—
441C2×Q16—342no—
442C2×SD16—174no—
443C2×SD16—681no—
444C2×SD16—681no—
445C22×C8—22no—
446C22×C8—22no—
447C22×C8—41no—
448C22×C8—171no—
449C22×C8—171no—
450C22×C8C22×D1711yescharacteristic
451C22×C8C22×D1711yescharacteristic
452C22⋊Q8—174no—
453C22⋊Q8—342no—
454C4×Q8—342no—
455C4×Q8—342no—
456C4×Q8—342no—
457C4×Q8—681no—
458C4×Q8—681no—
459C4×Q8—681no—
460#117—22no—
461#117—41no—
462C2×C4⋊C4—171no—
463C2×C4⋊C4—171no—
464C2×C4⋊C4—171no—
465C2×C4⋊C4—341no—
466C2×C4⋊C4—341no—
467C2×C4⋊C4—341no—
468C2×C4⋊C4—341no—
469C2×C4⋊C4—341no—
470C2×C4⋊C4C22×D1711yescharacteristic
471C2×C4⋊C4C22×D1711yescharacteristic
472C2×C22⋊C4—21no—
473C2×C22⋊C4—171no—
474C2×C22⋊C4—171no—
475C2×C22⋊C4—341no—
476C2×C22⋊C4—341no—
477C2×C22⋊C4—341no—
478C2×C22⋊C4—341no—
479C2×C22⋊C4—341no—
480C2×C22⋊C4—341no—
481C2×C42—21no—
482C2×C42—171no—
483C2×C42—171no—
484C2×C42—341no—
485C2×C42—341no—
486C2×C42—341no—
487C2×C42—341no—
488#107—681no—
489#106—342no—
490#103—22no—
491#103—174no—
492#103—342no—
493#103—681no—
494#103C22⋊D1714yes—
495#102—22no—
496#102—22no—
497#102—174no—
498C22⋊C8—174no—
499#97—342no—
500#97—681no—
501#95—171no—
502#95—171no—
503#95—341no—
504#95—341no—
505#95—341no—
506#95—341no—
507#95—341no—
508C17#2286111yescharacteristic, complemented, Sylow
509C24—21no—
510C24D4×D1711yescharacteristic
511#41—28no—
512#41—44no—
513#41—44no—
514#41—44no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—172no—
519C2×Q8—341no—
520C2×Q8—341no—
521C2×Q8—341no—
522C2×Q8—341no—
523C2×Q8—341no—
524C2×Q8C2×C4×D1712yes—
525C2×Q8#6325212yes—
526C2×Q8C2×C22⋊D1712yes—
527C2×D4—24no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4C2×C4×D1712yes—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—24no—
543C22×C4—21no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—171no—
547C22×C4—171no—
548C22×C4—171no—
549C22×C4—171no—
550C22×C4—341no—
551C22×C4—341no—
552C22×C4—341no—
553C22×C4—341no—
554C22×C4C2×C4×D1712yes—
555C22×C4D4×D1711yescharacteristic
556C22×C4#6325412yes—
557C22×C4C23×D1711yescharacteristic
558Q16—348no—
559SD16—684no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—44no—
566C2×C8—172no—
567C2×C8—172no—
568C2×C8—341no—
569C2×C8—341no—
570C2×C8—341no—
571C2×C8—341no—
572C2×C8C2×C22⋊D1712yes—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—172no—
577C4⋊C4—341no—
578C4⋊C4—344no—
579C4⋊C4—341no—
580C4⋊C4—341no—
581C4⋊C4—341no—
582C4⋊C4—341no—
583C4⋊C4—682no—
584C4⋊C4—682no—
585C4⋊C4—682no—
586C4⋊C4—682no—
587C4⋊C4C2×C22⋊D1712yes—
588C22⋊C4—42no—
589C22⋊C4—344no—
590C22⋊C4—681no—
591C22⋊C4—681no—
592C22⋊C4—682no—
593C22⋊C4—682no—
594C22⋊C4—1361no—
595C22⋊C4—1361no—
596C22⋊C4—1361no—
597C42—42no—
598C42—341no—
599C42—341no—
600C42—341no—
601C42—341no—
602C42—682no—
603C42—682no—
604C42—682no—
605C42—682no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23#1058756712yes—
620C23C2×D4×D1711yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—342no—
625Q8—342no—
626Q8—681no—
627Q8—681no—
628Q8C4×C22⋊D1714yes—
629D4—22no—
630D4—22no—
631D4—48no—
632D4—41no—
633D4—41no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—48no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—342no—
651C2×C4—342no—
652C2×C4—341no—
653C2×C4—341no—
654C2×C4—341no—
655C2×C4—341no—
656C2×C4—341no—
657C2×C4—341no—
658C2×C4—341no—
659C2×C4—341no—
660C2×C4—341no—
661C2×C4—341no—
662C2×C4—341no—
663C2×C4—341no—
664C2×C4—681no—
665C2×C4—681no—
666C2×C4—681no—
667C2×C4—681no—
668C2×C4—681no—
669C2×C4—681no—
670C2×C4—681no—
671C2×C4—681no—
672C2×C4—681no—
673C2×C4—681no—
674C2×C4#1058756712yes—
675C2×C4C22×C4×D1711yescharacteristic
676C2×C4C2×#6325211yescharacteristic
677C2×C4C2×#6325411yescharacteristic
678C2×C4#1058769111yescharacteristic
679C2×C4#1058769111yescharacteristic
680C2×C4C22×C22⋊D1711yescharacteristic
681C8—22no—
682C8—41no—
683C8—342no—
684C8—342no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22C2×#1058756711yescharacteristic
700C22D4×C22⋊D1711yescharacteristic
701C22#1176344911yescharacteristic
702C22#1176360611yescharacteristic
703C22#1176360611yescharacteristic
704C22#1176361611yescharacteristic
705C22#1176362311yescharacteristic
706C4—22no—
707C4—24no—
708C4—42no—
709C4—81no—
710C4—681no—
711C4—681no—
712C4—681no—
713C4—681no—
714C4—682no—
715C4—682no—
716C4—1361no—
717C4—1361no—
718C4C2×C4×C22⋊D1711yescharacteristic
719C4#1176328211yescharacteristic
720C4#1176345311yescharacteristic
721C4#1176348511yescharacteristic
722C2—42no—
723C2—82no—
724C2#1453176311yescharacteristic
725C2#1453758011yescharacteristic
726C2#1453763011yescharacteristic
727C2#1454033911yescharacteristic
728C2#1454036911yescharacteristic
729C2#1454084611yescharacteristic
730C2#1454090611yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC2×C17×#416C2
socleC23×C17C22×D4
prime radicalC22×#41×C17C22
cosocleC22×C4×C17C24
hypercenterC2×#416D17
hypocenterC17#22861
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#416

Complements

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

NH ≅ G/Ntype
2. C2×#11762913C2semidirect
3. #14531811C2semidirect
5. #14529666C2semidirect
6. #14529478C2semidirect
7. #14529414C2semidirect
8. #14529207C2semidirect
9. #14529136C2semidirect
10. #14529123C2semidirect
11. #14529036C2semidirect
12. #14528983C2semidirect
13. #14528616C2semidirect
14. #14528560C2semidirect
22. #11762971C4semidirect
508. C17#22861semidirect

Maximal subgroups

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

subgroupindex
C2×#117629712
C2×#117629132
#145318112
#145316252
#145296662
#145294782
#145294142
#145292072
#145291362
#145291232
#145290362
#145289832
#145286162
#145285602
C2×C17×#4162
#2286117