Finite Group Databasebeta

← #17050734

Subgroups — #17050734

Order 4352.

1130 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×#11763499C211yesmaximal, characteristic
2#14531713C211yesmaximal, characteristic
3#14529749C211yesmaximal, characteristic, complemented
4#14529739C211yesmaximal, characteristic, complemented
5#14529217C211yesmaximal, characteristic, complemented
6#14529217C211yesmaximal, characteristic, complemented
7#14529094C211yesmaximal, characteristic, complemented
8#14529089C211yesmaximal, characteristic, complemented
9#14528880C211yesmaximal, characteristic, complemented
10#14528875C211yesmaximal, characteristic, complemented
11#14528800C211yesmaximal, characteristic, complemented
12C4×#10587487C211yesmaximal, characteristic, complemented
13#14528504C211yesmaximal, characteristic, complemented
14#14528504C211yesmaximal, characteristic, complemented
15C2×C17×#436C211yesmaximal, characteristic
16#11763499—24no—
17#11763499C418yescomplemented
18C2×#10587565—21no—
19C2×#10587556C2211yescharacteristic
20C2×#10587575—21no—
21C2×#10587621—21no—
22C2×#10587610C2211yescharacteristic
23C2×#10587610C2211yescharacteristic
24C2×C4×Dic34C2211yescharacteristic
25C2×#10587612C2211yescharacteristic
26C2×#10587612C2211yescharacteristic
27C2×#10587563—21no—
28C22×C4⋊Dic17C2211yescharacteristic
29C22×C4⋊Dic17C2211yescharacteristic
30C2×#10587487C2211yescharacteristic
31C2×#10587487C2211yescharacteristic
32C2×#10587487C2211yescharacteristic
33C2×#10587487C2211yescharacteristic
34#11762702—21no—
35#11762695—21no—
36#11762689—21no—
37#11762675C2211yescharacteristic
38#11762669C2211yescharacteristic
39#11762669C2211yescharacteristic
40C4×C4⋊Dic17C2211yescharacteristic
41C22⋊C4×Dic17—21no—
42#11762572C2211yescharacteristic
43#11762572C2211yescharacteristic
44#11762572C2211yescharacteristic
45#11762572C2211yescharacteristic
46#11762572C2211yescharacteristic
47#11762572C2211yescharacteristic
48#11762572C2211yescharacteristic
49#11762572C2211yescharacteristic
50#11762572C2211yescharacteristic
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762572C2211yescharacteristic
54C22×M16×C17C2211yescharacteristic
55C22×M16×C17C2211yescharacteristic
56C2×C4×D4×C17C2211yescharacteristic
57C17×#436—24no—
58C2×C17×C4⋊C8C2211yescharacteristic
59C2×C17×C22⋊C8C2211yescharacteristic
60C2×C17×C22⋊C8C2211yescharacteristic
61C2×C4×C8×C17C2211yescharacteristic
62C22×D4×C17D411yescharacteristic
63C23×C4×C17C2311yescharacteristic
64C23×C4×C17C2311yescharacteristic
65C23×Dic17—21no—
66C23×Dic17—21no—
67C22×Dic34C2311yescharacteristic
68C2×M16×C17—22no—
69C2×M16×C17—22no—
70C2×M16×C17—22no—
71C2×M16×C17—22no—
72C2×M16×C17—41no—
73C2×M16×C17—41no—
74C22×C8×C17C2311yescharacteristic
75C22×C8×C17C2311yescharacteristic
76C22×C8×C17C2311yescharacteristic
77C22×C8×C17C2311yescharacteristic
78C4×D4×C17C2×C414yes—
79C4×D4×C17D414yes—
80C2×C4⋊C4×C17D411yescharacteristic
81C2×C22⋊C4×C17D411yescharacteristic
82C2×C22⋊C4×C17D411yescharacteristic
83C2×C42×C17C2311yescharacteristic
84C2×C22⋊Dic17—21no—
85C2×C22⋊Dic17—21no—
86C2×C22⋊Dic17—21no—
87C2×C22⋊Dic17—21no—
88C2×C22⋊Dic17—21no—
89C2×C22⋊Dic17—21no—
90#10587621—28no—
91#10587612—22no—
92#10587612—22no—
93#10587612—41no—
94#10587612C2×C414yes—
95C2×C4⋊Dic17—22no—
96C2×C4⋊Dic17—21no—
97C2×C4⋊Dic17—21no—
98C2×C4⋊Dic17—22no—
99C2×C4⋊Dic17—41no—
100C2×C4⋊Dic17C2×C414yescomplemented
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103C2×C4⋊Dic17C2311yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4⋊Dic17C2311yescharacteristic
106C2×C4⋊Dic17C2311yescharacteristic
107C2×C4⋊Dic17C2311yescharacteristic
108#10587610—22no—
109#10587610—22no—
110#10587610C2×C414yes—
111#10587610C2×C414yescomplemented
112C2×#63225—21no—
113C2×#63225—21no—
114C2×#63225—21no—
115C2×#63225—21no—
116C2×#63225—21no—
117C2×C4×Dic17—21no—
118C2×C4×Dic17—21no—
119C2×C4×Dic17—21no—
120C2×C4×Dic17—21no—
121#10587575—28no—
122#10587565—28no—
123#10587563—28no—
124#10587556—22no—
125#10587556C2×C414yescomplemented
126C4×Dic34—22no—
127C4×Dic34C2×C414yescomplemented
128C17×C4⋊C8—22no—
129C17×C22⋊C8—22no—
130C17×C22⋊C8—22no—
131C4×C8×C17—22no—
132#10587502—21no—
133#10587502—21no—
134#10587502—21no—
135#10587502—21no—
136#10587502—21no—
137#10587487—22no—
138#10587487—22no—
139#10587487—41no—
140#10587487—41no—
141C24×C17C2×D411yescharacteristic
142C24×C17C2×D411yescharacteristic
143C2×D4×C17—41no—
144C2×D4×C17—41no—
145C2×D4×C17C22⋊C414yes—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—21no—
150C22×C4×C17—21no—
151C22×C4×C17—21no—
152C22×C4×C17—21no—
153C22×C4×C17—21no—
154C22×C4×C17C22×C412yes—
155C22×C4×C17C22×C412yes—
156C22×C4×C17C2×D411yescharacteristic
157C22×C4×C17C2×D411yescharacteristic
158C22×C4×C17C2×D411yescharacteristic
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D412yes—
161C22×C4×C17C2×D412yes—
162C22×C4×C17C2411yescharacteristic
163C22×Dic17—24no—
164C22×Dic17—21no—
165C22×Dic17—21no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C22×Dic17—21no—
169C22×Dic17—21no—
170C22×Dic17—21no—
171C22×Dic17—21no—
172C22×Dic17—42no—
173C22×Dic17—42no—
174C22×Dic17—42no—
175C22×Dic17—42no—
176C22×Dic17—81no—
177C2×Dic34—21no—
178C2×Dic34—21no—
179C2×Dic34—21no—
180C2×Dic34—21no—
181C2×Dic34—21no—
182C2×Dic34C22×C412yes—
183M16×C17—44no—
184M16×C17—44no—
185C2×C8×C17—21no—
186C2×C8×C17—21no—
187C2×C8×C17—21no—
188C2×C8×C17—21no—
189C2×C8×C17—21no—
190C2×C8×C17—21no—
191C2×C8×C17—21no—
192C2×C8×C17—21no—
193C2×C8×C17—21no—
194C2×C8×C17—21no—
195C2×C8×C17—21no—
196C2×C8×C17#4112yes—
197C4⋊C4×C17C22⋊C414yes—
198C22⋊C4×C17C22⋊C414yes—
199C22⋊C4×C17C22⋊C414yes—
200C42×C17C22×C412yes—
201C42×C17C2×D412yes—
202C22⋊Dic17—24no—
203C22⋊Dic17—24no—
204C22⋊Dic17—24no—
205C22⋊Dic17—42no—
206C22⋊Dic17—42no—
207C22⋊Dic17—81no—
208C4⋊Dic17—24no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17—21no—
212C4⋊Dic17—21no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—42no—
220C4⋊Dic17C22×C412yes—
221C4⋊Dic17C22×C412yes—
222C4⋊Dic17C22×C412yes—
223C4⋊Dic17#4112yes—
224#63225—24no—
225#63225—24no—
226#63225—24no—
227#63225—24no—
228#63225—24no—
229C4×Dic17—24no—
230C4×Dic17—24no—
231C4×Dic17—42no—
232C4×Dic17—81no—
233#22499—171nomaximal, Sylow
234C23×C17—21no—
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×C17C2×C22⋊C412yes—
247C23×C17C2×C22⋊C412yes—
248C23×C17C22×D411yescharacteristic
249D4×C17—44no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—21no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—22no—
259C2×C4×C17—22no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17C2×C22⋊C412yes—
267C2×C4×C17C2×C22⋊C412yes—
268C2×C4×C17C2×C22⋊C412yes—
269C2×C4×C17C2×C22⋊C412yes—
270C2×C4×C17C23×C411yescharacteristic
271C2×C4×C17C22×D411yescharacteristic
272C2×C4×C17C2×#4111yescharacteristic
273C2×C4×C17C2×#4111yescharacteristic
274C2×C4×C17H(5,𝔽2)11yescharacteristic
275C2×C4×C172−1+411yescharacteristic
276C2×Dic17—22no—
277C2×Dic17—22no—
278C2×Dic17—22no—
279C2×Dic17—22no—
280C2×Dic17—22no—
281C2×Dic17—48no—
282C2×Dic17—41no—
283C2×Dic17—41no—
284C2×Dic17—41no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291C2×Dic17—41no—
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—
301C2×Dic17—84no—
302Dic34—22no—
303Dic34—22no—
304Dic34—41no—
305Dic34—41no—
306C8×C17—22no—
307C8×C17—41no—
308C8×C17—41no—
309C8×C17—41no—
310C2×#552—171no—
311C2×#436D1711yescharacteristic
312#2352—171no—
313#1991—171no—
314#1989—171no—
315#1894—171no—
316#1894—171no—
317#1873—171no—
318#1872—171no—
319#1825—171no—
320#1824—171no—
321#1805—171no—
322C4×#103—171no—
323#1736—171no—
324#1736—171no—
325C22×C17—22no—
326C22×C17—22no—
327C22×C17—22no—
328C22×C17—22no—
329C22×C17—22no—
330C22×C17—22no—
331C22×C17—41no—
332C22×C17—41no—
333C22×C17—41no—
334C22×C17—41no—
335C22×C17—41no—
336C22×C17—41no—
337C22×C17—41no—
338C22×C17—41no—
339C22×C17C22×C22⋊C411yescharacteristic
340C22×C17#54611yescharacteristic
341C22×C17#54711yescharacteristic
342C22×C17#57511yescharacteristic
343C22×C17#57511yescharacteristic
344C22×C17#57711yescharacteristic
345C22×C17#57811yescharacteristic
346C4×C17—22no—
347C4×C17—22no—
348C4×C17—22no—
349C4×C17—22no—
350C4×C17C4×#4111yescharacteristic
351C4×C17#52011yescharacteristic
352C4×C17#54611yescharacteristic
353C4×C17#54711yescharacteristic
354Dic17—42no—
355Dic17—42no—
356Dic17—42no—
357Dic17—42no—
358Dic17—42no—
359Dic17—81no—
360Dic17—81no—
361Dic17—81no—
362C22×M16C2×D1711yescharacteristic
363C22×M16C2×D1711yescharacteristic
364#552—178no—
365#552—344no—
366C2×#126—341no—
367C2×#125—171no—
368C2×#125—341no—
369C2×#123—341no—
370C2×C22⋊Q8—171no—
371C2×C22⋊Q8—171no—
372C2×C4×Q8—171no—
373C2×C4×D4C2×D1711yescharacteristic
374C2×#117—171no—
375C2×#117—171no—
376C2×#117—341no—
377C22×C4⋊C4—171no—
378C22×C4⋊C4—171no—
379#436—24no—
380C2×C4⋊C8C2×D1711yescharacteristic
381C2×#103—171no—
382C2×#103—171no—
383C2×#103—171no—
384C2×#103—171no—
385C2×C22⋊C8C2×D1711yescharacteristic
386C2×C22⋊C8C2×D1711yescharacteristic
387C2×C4×C8C2×D1711yescharacteristic
388#388—341no—
389#387—341no—
390#386—341no—
391#382—171no—
392#380—171no—
393#380—171no—
394C4×C4⋊C4—171no—
395C4×C22⋊C4—341no—
396#340—171no—
397#340—171no—
398#340—171no—
399#340—171no—
400#340—171no—
401#340—171no—
402#340—171no—
403#340—171no—
404#340—171no—
405#340—171no—
406#340—171no—
407#340—171no—
408C2×C17—42no—
409C2×C17—42no—
410C2×C17#233911yescharacteristic
411C2×C17#289611yescharacteristic
412C2×C17#289811yescharacteristic
413C2×C17#332311yescharacteristic
414C2×C17#332711yescharacteristic
415C2×C17#335111yescharacteristic
416C2×C17#335211yescharacteristic
417C22×Q8—171no—
418C22×D4D6811yescharacteristic
419C23×C4—341no—
420C23×C4—341no—
421C23×C4C22×D1711yescharacteristic
422C23×C4C22×D1711yescharacteristic
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—22no—
426C2×M16—22no—
427C2×M16—41no—
428C2×M16—41no—
429C22×C8C22×D1711yescharacteristic
430C22×C8C22×D1711yescharacteristic
431C22×C8C22×D1711yescharacteristic
432C22×C8C22×D1711yescharacteristic
433#126—348no—
434#125—174no—
435#125—348no—
436#125—342no—
437#123—348no—
438C22⋊Q8—174no—
439C22⋊Q8—174no—
440C22⋊Q8—342no—
441C22⋊Q8—342no—
442C4×Q8—174no—
443C4×Q8—342no—
444C4×D4C4×D1714yes—
445C4×D4C22⋊D1714yes—
446#117—174no—
447#117—342no—
448#117—348no—
449#117—342no—
450#117—681no—
451C2×C4⋊C4—174no—
452C2×C4⋊C4—171no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—171no—
455C2×C4⋊C4—171no—
456C2×C4⋊C4—171no—
457C2×C4⋊C4—171no—
458C2×C4⋊C4—171no—
459C2×C4⋊C4—342no—
460C2×C4⋊C4—341no—
461C2×C4⋊C4—341no—
462C2×C4⋊C4—341no—
463C2×C4⋊C4—341no—
464C2×C4⋊C4—341no—
465C2×C4⋊C4—341no—
466C2×C4⋊C4—342no—
467C2×C4⋊C4—341no—
468C2×C4⋊C4—681no—
469C2×C4⋊C4D6811yescharacteristic
470C2×C22⋊C4—341no—
471C2×C22⋊C4—341no—
472C2×C22⋊C4—341no—
473C2×C22⋊C4—341no—
474C2×C22⋊C4—341no—
475C2×C22⋊C4—341no—
476C2×C22⋊C4D6811yescharacteristic
477C2×C22⋊C4D6811yescharacteristic
478C2×C42—341no—
479C2×C42—341no—
480C2×C42—341no—
481C2×C42—341no—
482C2×C42C22×D1711yescharacteristic
483C4⋊C8—22no—
484#103—342no—
485#103—342no—
486#103—681no—
487#103—681no—
488C22⋊C8—22no—
489C22⋊C8—22no—
490C4×C8—22no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95—341no—
495#95—341no—
496C17#2249911yescharacteristic, complemented, Sylow
497C24C2×D6811yescharacteristic
498C24C2×D6811yescharacteristic
499C2×Q8—172no—
500C2×Q8—341no—
501C2×Q8—341no—
502C2×Q8—341no—
503C2×Q8—341no—
504C2×Q8—341no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4#6322714yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—341no—
517C22×C4—341no—
518C22×C4—341no—
519C22×C4—341no—
520C22×C4—341no—
521C22×C4—344no—
522C22×C4—341no—
523C22×C4—341no—
524C22×C4—341no—
525C22×C4—682no—
526C22×C4—682no—
527C22×C4—682no—
528C22×C4—682no—
529C22×C4—1361no—
530C22×C4C2×C4×D1712yes—
531C22×C4C2×C4×D1712yes—
532C22×C4C2×D6811yescharacteristic
533C22×C4C2×D6811yescharacteristic
534C22×C4C2×D6811yescharacteristic
535C22×C4C2×D6811yescharacteristic
536C22×C4C2×C22⋊D1712yes—
537C22×C4C2×C22⋊D1712yes—
538C22×C4C23×D1711yescharacteristic
539M16—44no—
540M16—44no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8#6325412yes—
553C4⋊C4—172no—
554C4⋊C4—172no—
555C4⋊C4—172no—
556C4⋊C4—172no—
557C4⋊C4—341no—
558C4⋊C4—341no—
559C4⋊C4—341no—
560C4⋊C4—341no—
561C4⋊C4—344no—
562C4⋊C4—344no—
563C4⋊C4—344no—
564C4⋊C4—344no—
565C4⋊C4—344no—
566C4⋊C4—344no—
567C4⋊C4—341no—
568C4⋊C4—341no—
569C4⋊C4—341no—
570C4⋊C4—341no—
571C4⋊C4—341no—
572C4⋊C4—341no—
573C4⋊C4—682no—
574C4⋊C4#6322714yes—
575C22⋊C4—344no—
576C22⋊C4—344no—
577C22⋊C4—344no—
578C22⋊C4—682no—
579C22⋊C4—682no—
580C22⋊C4—1361no—
581C22⋊C4#6322714yes—
582C22⋊C4#6322714yes—
583C42—344no—
584C42—344no—
585C42—682no—
586C42—1361no—
587C42C2×C4×D1712yes—
588C42C2×C22⋊D1712yes—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23C2×#6322712yes—
602C23C2×#6322712yes—
603C23C22×D6811yescharacteristic
604Q8—342no—
605Q8—342no—
606Q8—681no—
607Q8—681no—
608D4—44no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—342no—
626C2×C4—342no—
627C2×C4—342no—
628C2×C4—342no—
629C2×C4—342no—
630C2×C4—688no—
631C2×C4—681no—
632C2×C4—681no—
633C2×C4—681no—
634C2×C4—681no—
635C2×C4—681no—
636C2×C4—681no—
637C2×C4—681no—
638C2×C4—681no—
639C2×C4—681no—
640C2×C4—681no—
641C2×C4—681no—
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—1364no—
651C2×C4C2×#6322712yes—
652C2×C4C2×#6322712yes—
653C2×C4C2×#6322712yes—
654C2×C4C2×#6322712yes—
655C2×C4C22×C4×D1711yescharacteristic
656C2×C4C2×#6325411yescharacteristic
657C2×C4#1058769111yescharacteristic
658C2×C4#41×D1711yescharacteristic
659C2×C4#1058769711yescharacteristic
660C2×C4C22×C22⋊D1711yescharacteristic
661C8—22no—
662C8—41no—
663C8—41no—
664C8—41no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22C22×#6322711yescharacteristic
680C22#1176345411yescharacteristic
681C22#1176346311yescharacteristic
682C22#1176360911yescharacteristic
683C22#1176360911yescharacteristic
684C22#1176362111yescharacteristic
685C22#1176362611yescharacteristic
686C4—22no—
687C4—22no—
688C4—22no—
689C4—22no—
690C4—682no—
691C4—682no—
692C4—682no—
693C4—682no—
694C4—682no—
695C4—1361no—
696C4—1361no—
697C4—1361no—
698C4C4×#6325411yescharacteristic
699C4#1176328811yescharacteristic
700C4#1176345311yescharacteristic
701C4#1176345811yescharacteristic
702C2—42no—
703C2—42no—
704C2#1453160911yescharacteristic
705C2#1453730411yescharacteristic
706C2#1453731811yescharacteristic
707C2#1454100211yescharacteristic
708C2#1454105411yescharacteristic
709C2#1454134611yescharacteristic
710C2#1454135811yescharacteristic
subgroupG/H
centerC23C22×D68
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC2×C17×#436C2
socleC23×C17C22×D4
prime radicalC22×D4×C17D4
cosocleC22×C4×C17C24
hypercenterC2×#436D17
hypocenterC17#22499
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#436

Complements

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

NH ≅ G/Ntype
3. #14529749C2semidirect
4. #14529739C2semidirect
5. #14529217C2semidirect
6. #14529217C2semidirect
7. #14529094C2semidirect
8. #14529089C2semidirect
9. #14528880C2semidirect
10. #14528875C2semidirect
11. #14528800C2semidirect
12. C4×#10587487C2semidirect
13. #14528504C2semidirect
14. #14528504C2semidirect
17. #11763499C4semidirect
100. C2×C4⋊Dic17C2×C4semidirect
111. #10587610C2×C4semidirect
125. #10587556C2×C4semidirect
127. C4×Dic34C2×C4semidirect
496. C17#22499semidirect

Maximal subgroups

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

subgroupindex
C2×#117634992
#145317132
#145297492
#145297392
#145292172
#145290942
#145290892
#145288802
#145288752
#145288002
C4×#105874872
#145285042
C2×C17×#4362
#2249917