Finite Group Databasebeta

← #17052438

Subgroups — #17052438

Order 4352.

1126 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762872C211yesmaximal, characteristic
2C22×#10587478C211yesmaximal, characteristic, complemented
3C2×#107×D17C211yesmaximal, characteristic, complemented
4C4⋊C4×C22⋊D17C211yesmaximal, characteristic
5#14531680C211yesmaximal, characteristic
6#14529541C211yesmaximal, characteristic, complemented
7#14529539C211yesmaximal, characteristic, complemented
8#14528974C211yesmaximal, characteristic, complemented
9#14528973C211yesmaximal, characteristic, complemented
10#14528970C211yesmaximal, characteristic, complemented
11#14528942C211yesmaximal, characteristic, complemented
12#14528812C211yesmaximal, characteristic, complemented
13#14528811C211yesmaximal, characteristic, complemented
14#14528676C211yesmaximal, characteristic, complemented
15C17×#1852C211yesmaximal, characteristic, complemented
16C23×#3622C2211yescharacteristic
17C22×C8×D17C2211yescharacteristic
18C2×C4×C22⋊D17—21no—
19C2×C4×C22⋊D17C2211yescharacteristic
20C2×#10587567—21no—
21C22×C4⋊Dic17C2211yescharacteristic
22C2×C4⋊C4×D17C2211yescharacteristic
23C2×C4⋊C4×D17C2211yescharacteristic
24#11762872C418yescomplemented
25C2×#10587489C2211yescharacteristic
26C2×#10587489C2211yescharacteristic
27C2×#10587478—24no—
28C2×#10587478C2211yescharacteristic
29C2×#10587478C2211yescharacteristic
30C2×#10587478C2211yescharacteristic
31C2×#10587478C2211yescharacteristic
32C2×#10587478C2211yescharacteristic
33C2×#10587478C2211yescharacteristic
34#107×D17—24no—
35C2×#10587485C2211yescharacteristic
36C2×#10587491C2211yescharacteristic
37C2×C8×Dic17C2211yescharacteristic
38#11762706—21no—
39#11762704—21no—
40#11762683—21no—
41#11762682—21no—
42#11762681—21no—
43#11762680—21no—
44#11762678C2211yescharacteristic
45#11762678C2211yescharacteristic
46#11762669C2211yescharacteristic
47#11762666C2211yescharacteristic
48#11762666C2211yescharacteristic
49C4⋊C4×Dic17C2211yescharacteristic
50C4⋊C4×Dic17C2211yescharacteristic
51#11762572C2211yescharacteristic
52#11762572C2211yescharacteristic
53#11762571C2211yescharacteristic
54#11762571C2211yescharacteristic
55C22×C4⋊C4×C17C2211yescharacteristic
56C2×C17×#107C2211yescharacteristic
57C2×C17×#107C2211yescharacteristic
58C2×C17×C22⋊C8C2211yescharacteristic
59C17×#380C2211yescharacteristic
60C17×#340C2211yescharacteristic
61C17×#340C2211yescharacteristic
62C23×C4×C17—21no—
63C23×C4×C17C2311yescharacteristic
64C22×C22⋊D17D411yescharacteristic
65C23×Dic17—21no—
66C22×C4×D17—21no—
67C22×C4×D17—21no—
68C22×C4×D17C2311yescharacteristic
69C22×C8×C17C2311yescharacteristic
70C22×C8×C17C2311yescharacteristic
71C2×C4⋊C4×C17—22no—
72C2×C4⋊C4×C17—21no—
73C2×C4⋊C4×C17—41no—
74C2×C4⋊C4×C17C2311yescharacteristic
75C2×C4⋊C4×C17C2311yescharacteristic
76C2×C4⋊C4×C17C2311yescharacteristic
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C22⋊C4×C17—21no—
79C2×C22⋊Dic17—21no—
80C2×C22⋊Dic17D411yescharacteristic
81C4×C22⋊D17—44no—
82C4×C22⋊D17C2×C414yes—
83C4×C22⋊D17Q814yes—
84C2×#63227—21no—
85C2×#63227—21no—
86C2×#63227D411yescharacteristic
87C2×C4⋊Dic17—21no—
88C2×C4⋊Dic17—22no—
89C2×C4⋊Dic17—41no—
90C2×C4⋊Dic17C2311yescharacteristic
91C2×C4⋊Dic17C2311yescharacteristic
92C2×C4⋊Dic17C2311yescharacteristic
93C2×C4⋊Dic17C2311yescharacteristic
94C2×#63225—21no—
95C2×#63225—21no—
96C2×#63225—21no—
97C2×#63225—21no—
98C2×#63225—21no—
99C2×#63225—21no—
100C2×#63225D411yescharacteristic
101C2×C4×Dic17—21no—
102C2×C4×Dic17—21no—
103C2×C4×Dic17C2311yescharacteristic
104C22×#3622—22no—
105C22×#3622—22no—
106C22×#3622C2×C414yescomplemented
107C22×#3622C2311yescharacteristic
108C22×#3622C2311yescharacteristic
109C2×C8×D17—22no—
110C2×C8×D17—22no—
111C2×C8×D17C2×C414yescomplemented
112C4⋊C4×D17—22no—
113C4⋊C4×D17—22no—
114C4⋊C4×D17—41no—
115C4⋊C4×D17—41no—
116#10587567—44no—
117C17×#107—22no—
118C17×#107—41no—
119C17×C22⋊C8C2×C414yescomplemented
120C17×#95—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502—21no—
126#10587491C2×C414yescomplemented
127#10587489—22no—
128#10587489—41no—
129#10587485C2×C414yescomplemented
130C8×Dic17C2×C414yescomplemented
131#10587478—22no—
132#10587478—22no—
133#10587478—22no—
134#10587478—22no—
135#10587478—22no—
136#10587478D414yescomplemented
137C24×C17C2×D411yescharacteristic
138C23×D17C2×D411yescharacteristic
139C22×C4×C17—21no—
140C22×C4×C17—21no—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17—21no—
147C22×C4×C17—42no—
148C22×C4×C17—42no—
149C22×C4×C17—81no—
150C22×C4×C17C22×C412yes—
151C22×C4×C17C2×D411yescharacteristic
152C22×C4×C17C2×Q812yes—
153C22×C4×C17C2411yescharacteristic
154C2×C22⋊D17C4⋊C414yes—
155C2×C22⋊D17D814yes—
156C2×C22⋊D17Q1614yes—
157C22×Dic17—21no—
158C22×Dic17—21no—
159C22×Dic17—21no—
160C22×Dic17—21no—
161C22×Dic17—42no—
162C22×Dic17—42no—
163C22×Dic17—81no—
164C22×Dic17C2×D411yescharacteristic
165C22×Dic17C2×D411yescharacteristic
166C22×Dic17C2×D411yescharacteristic
167C2×C4×D17—21no—
168C2×C4×D17—21no—
169C2×C4×D17—21no—
170C2×C4×D17—21no—
171C2×C4×D17—42no—
172C2×C4×D17—42no—
173C2×C4×D17—42no—
174C2×C4×D17—42no—
175C2×C4×D17—81no—
176C2×C4×D17—81no—
177C2×C4×D17C22×C412yes—
178C2×C4×D17C2×Q812yes—
179C2×C8×C17—21no—
180C2×C8×C17—21no—
181C2×C8×C17—21no—
182C2×C8×C17—21no—
183C2×C8×C17C22×C412yes—
184C2×C8×C17C22×C412yes—
185C4⋊C4×C17—21no—
186C4⋊C4×C17—21no—
187C4⋊C4×C17—21no—
188C4⋊C4×C17—21no—
189C4⋊C4×C17—21no—
190C4⋊C4×C17—21no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—42no—
193C4⋊C4×C17C2×D412yes—
194C22⋊C4×C17—42no—
195C22⋊Dic17—42no—
196C22⋊Dic17C4⋊C414yes—
197#63227—42no—
198#63227—42no—
199#63227C4⋊C414yes—
200C4⋊Dic17—21no—
201C4⋊Dic17—21no—
202C4⋊Dic17—21no—
203C4⋊Dic17—21no—
204C4⋊Dic17—21no—
205C4⋊Dic17—21no—
206C4⋊Dic17—21no—
207C4⋊Dic17—42no—
208C4⋊Dic17C2×D412yes—
209#63225—42no—
210#63225—42no—
211#63225—42no—
212#63225—42no—
213#63225—81no—
214#63225—81no—
215#63225C4⋊C414yes—
216C4×Dic17—42no—
217C4×Dic17—42no—
218C4×Dic17C22×C412yes—
219C4×Dic17C2×Q812yes—
220C2×#3622—21no—
221C2×#3622—21no—
222C2×#3622—28no—
223C2×#3622C22×C412yes—
224C2×#3622C22×C412yes—
225C2×#3622C2×D412yes—
226C2×#3622#4112yes—
227C8×D17—28no—
228D4×#107—171nomaximal, Sylow
229C23×C17—21no—
230C23×C17—21no—
231C23×C17—21no—
232C23×C17—21no—
233C23×C17C2×C4⋊C412yes—
234C23×C17C2×D812yes—
235C23×C17C2×Q1612yes—
236C23×C17C22×D411yescharacteristic
237C22×D17—21no—
238C22×D17—21no—
239C22×D17—21no—
240C22×D17—21no—
241C22×D17C2×C4⋊C412yes—
242C22×D17C2×D812yes—
243C22×D17C2×Q1612yes—
244C2×C4×C17—21no—
245C2×C4×C17—21no—
246C2×C4×C17—22no—
247C2×C4×C17—22no—
248C2×C4×C17—22no—
249C2×C4×C17—22no—
250C2×C4×C17—22no—
251C2×C4×C17—41no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—41no—
258C2×C4×C17—41no—
259C2×C4×C17—41no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—84no—
263C2×C4×C17C2×C4⋊C412yes—
264C2×C4×C17C23×C411yescharacteristic
265C2×C4×C17C22×D411yescharacteristic
266C2×C4×C17C22×Q811yescharacteristic
267C2×C4×C17C2×#4111yescharacteristic
268C2×C4×C17H(5,𝔽2)11yescharacteristic
269C2×C4×C172−1+411yescharacteristic
270C22⋊D17#107116yescomplemented
271C2×Dic17—21no—
272C2×Dic17—21no—
273C2×Dic17—21no—
274C2×Dic17—21no—
275C2×Dic17—22no—
276C2×Dic17—41no—
277C2×Dic17—41no—
278C2×Dic17—41no—
279C2×Dic17—41no—
280C2×Dic17—41no—
281C2×Dic17—41no—
282C2×Dic17—41no—
283C2×Dic17—41no—
284C2×Dic17—41no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—84no—
288C2×Dic17C2×C4⋊C412yes—
289C2×Dic17C2×C4⋊C412yes—
290C2×Dic17C2×C4⋊C412yes—
291C2×Dic17C2×D812yes—
292C2×Dic17C2×Q1612yes—
293C4×D17—22no—
294C4×D17—22no—
295C4×D17—22no—
296C4×D17—22no—
297C4×D17—84no—
298C4×D17—84no—
299C8×C17—22no—
300C8×C17—22no—
301#3622—22no—
302#3622C4×D414yescomplemented
303C2×C8×D4—171no—
304C22×#107—171no—
305C22×#107—171no—
306D4×C4⋊C4—171no—
307D4×C4⋊C4—171no—
308#1947—171no—
309#1947—171no—
310#1852—171no—
311#1852—171no—
312#1852—171no—
313#1852D1711yescharacteristic, complemented
314#1845—171no—
315#1808—171no—
316#1808—171no—
317C4×#107—171no—
318C22×C17—22no—
319C22×C17—22no—
320C22×C17—22no—
321C22×C17—22no—
322C22×C17—22no—
323C22×C17—22no—
324C22×C17C2×#10714yescomplemented
325C22×C17C22×C4⋊C411yescharacteristic
326C22×C17D4211yescharacteristic
327C22×C17#54711yescharacteristic
328C22×C17C22×D811yescharacteristic
329C22×C17C22×Q1611yescharacteristic
330C22×C17#57611yescharacteristic
331C22×C17#57811yescharacteristic
332C2×D17—22no—
333C2×D17—22no—
334C2×D17—22no—
335C2×D17—22no—
336C2×D17—22no—
337C2×D17—22no—
338C2×D17C2×#10714yescomplemented
339C4×C17—22no—
340C4×C17—42no—
341C4×C17—81no—
342C4×C17—81no—
343C4×C17—81no—
344C4×C17C2×C4×D411yescharacteristic
345C4×C17#52011yescharacteristic
346C4×C17D4×Q811yescharacteristic
347C4×C17#55411yescharacteristic
348Dic17—22no—
349Dic17—22no—
350Dic17—42no—
351Dic17—81no—
352Dic17—81no—
353Dic17—81no—
354Dic17C2×#10714yescomplemented
355C23×C8—171no—
356C23×C8—171no—
357C2×C4×D4—171no—
358C2×C4×D4—341no—
359C2×C4×D4—341no—
360C22×C4⋊C4—171no—
361C22×C4⋊C4—171no—
362C22×C4⋊C4—171no—
363C22×C4⋊C4C2×D1711yescharacteristic
364C8×D4—178no—
365C2×#107—171no—
366C2×#107—171no—
367C2×#107—171no—
368C2×#107—171no—
369C2×#107—171no—
370C2×#107—171no—
371C2×#107—171no—
372C2×#107—171no—
373C2×#107—344no—
374C2×#107—344no—
375C2×#107C2×D1711yescharacteristic
376C2×#107C2×D1711yescharacteristic
377C2×C4⋊C8—171no—
378C2×C22⋊C8—171no—
379C2×C22⋊C8C2×D1711yescharacteristic
380C2×C4×C8—171no—
381#389—341no—
382#389—341no—
383#385—341no—
384#385—341no—
385#385—341no—
386#385—341no—
387#384—171no—
388#384—171no—
389#380—171no—
390#380—171no—
391#380—171no—
392#380C2×D1711yescharacteristic
393C4×C4⋊C4—171no—
394C4×C4⋊C4—171no—
395#340—171no—
396#340—171no—
397#340—171no—
398#340—171no—
399#340C2×D1711yescharacteristic
400#340C2×D1711yescharacteristic
401C2×C17—24no—
402C2×C17D4×C4⋊C411yescharacteristic
403C2×C17C22×#10711yescharacteristic
404C2×C17#291311yescharacteristic
405C2×C17D4×D811yescharacteristic
406C2×C17D4×Q1611yescharacteristic
407C2×C17#333411yescharacteristic
408C2×C17#333811yescharacteristic
409D17—24no—
410C22×D4—171no—
411C23×C4—21no—
412C23×C4—171no—
413C23×C4—341no—
414C23×C4—341no—
415C23×C4—341no—
416C23×C4C22×D1711yescharacteristic
417C22×C8—171no—
418C22×C8—174no—
419C22×C8—171no—
420C22×C8—174no—
421C22×C8—342no—
422C22×C8—342no—
423C22×C8—342no—
424C22×C8—342no—
425C22×C8C22×D1711yescharacteristic
426C22×C8C22×D1711yescharacteristic
427C4×D4—174no—
428C4×D4—174no—
429C4×D4—684no—
430C4×D4—684no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—41no—
434C2×C4⋊C4—171no—
435C2×C4⋊C4—171no—
436C2×C4⋊C4—171no—
437C2×C4⋊C4—171no—
438C2×C4⋊C4—171no—
439C2×C4⋊C4—342no—
440C2×C4⋊C4—342no—
441C2×C4⋊C4—342no—
442C2×C4⋊C4—341no—
443C2×C4⋊C4—341no—
444C2×C4⋊C4—341no—
445C2×C4⋊C4—341no—
446C2×C4⋊C4—341no—
447C2×C4⋊C4—341no—
448C2×C4⋊C4—341no—
449C2×C4⋊C4—681no—
450C2×C4⋊C4—681no—
451C2×C4⋊C4—681no—
452C2×C4⋊C4C22×D1711yescharacteristic
453C2×C4⋊C4C22×D1711yescharacteristic
454C2×C4⋊C4C22×D1711yescharacteristic
455C2×C4⋊C4C22×D1711yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—171no—
458C2×C22⋊C4—171no—
459C2×C22⋊C4—341no—
460C2×C22⋊C4—341no—
461C2×C22⋊C4—341no—
462C2×C42—171no—
463C2×C42—341no—
464C2×C42—341no—
465#107—22no—
466#107—41no—
467#107—174no—
468#107—342no—
469#107—342no—
470#107—342no—
471#107—342no—
472#107—342no—
473#107—342no—
474#107—681no—
475C4⋊C8—174no—
476C22⋊C8—174no—
477C22⋊C8C4×D1714yescomplemented
478C4×C8—174no—
479#95—21no—
480#95—341no—
481#95—341no—
482#95—341no—
483#95—341no—
484#95—341no—
485C17D4×#10711yescharacteristic, complemented, Sylow
486C24—171no—
487C24D4×D1711yescharacteristic
488C2×D4—174no—
489C2×D4—174no—
490C2×D4—174no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—81no—
502C22×C4—171no—
503C22×C4—171no—
504C22×C4—171no—
505C22×C4—172no—
506C22×C4—172no—
507C22×C4—341no—
508C22×C4—341no—
509C22×C4—341no—
510C22×C4—341no—
511C22×C4—341no—
512C22×C4—341no—
513C22×C4—341no—
514C22×C4—341no—
515C22×C4—682no—
516C22×C4—682no—
517C22×C4—682no—
518C22×C4—682no—
519C22×C4—682no—
520C22×C4—682no—
521C22×C4—1361no—
522C22×C4—1361no—
523C22×C4—1361no—
524C22×C4C2×C4×D1712yes—
525C22×C4D4×D1711yescharacteristic
526C22×C4Q8×D1712yes—
527C22×C4C23×D1711yescharacteristic
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—172no—
533C2×C8—172no—
534C2×C8—172no—
535C2×C8—172no—
536C2×C8—348no—
537C2×C8—348no—
538C2×C8—341no—
539C2×C8—341no—
540C2×C8C2×C4×D1712yes—
541C2×C8C2×C4×D1712yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—42no—
550C4⋊C4—174no—
551C4⋊C4—172no—
552C4⋊C4—341no—
553C4⋊C4—341no—
554C4⋊C4—341no—
555C4⋊C4—341no—
556C4⋊C4—341no—
557C4⋊C4—341no—
558C4⋊C4—341no—
559C4⋊C4—682no—
560C4⋊C4—682no—
561C4⋊C4—682no—
562C4⋊C4—682no—
563C4⋊C4—682no—
564C4⋊C4—1361no—
565C4⋊C4—1361no—
566C4⋊C4D4×D1712yes—
567C22⋊C4—42no—
568C22⋊C4—174no—
569C22⋊C4—174no—
570C22⋊C4—682no—
571C22⋊C4—682no—
572C22⋊C4—682no—
573C42—172no—
574C42—172no—
575C42—682no—
576C42—682no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—172no—
582C23—172no—
583C23—172no—
584C23—341no—
585C23—341no—
586C23—341no—
587C23—341no—
588C23C4⋊C4×D1712yes—
589C23D8×D1712yes—
590C23Q16×D1712yes—
591C23C2×D4×D1711yescharacteristic
592D4—1716no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—84no—
612C2×C4—172no—
613C2×C4—172no—
614C2×C4—172no—
615C2×C4—172no—
616C2×C4—172no—
617C2×C4—341no—
618C2×C4—341no—
619C2×C4—341no—
620C2×C4—341no—
621C2×C4—342no—
622C2×C4—342no—
623C2×C4—342no—
624C2×C4—342no—
625C2×C4—342no—
626C2×C4—681no—
627C2×C4—681no—
628C2×C4—681no—
629C2×C4—681no—
630C2×C4—681no—
631C2×C4—681no—
632C2×C4—681no—
633C2×C4—681no—
634C2×C4—681no—
635C2×C4—681no—
636C2×C4—681no—
637C2×C4—1364no—
638C2×C4—1364no—
639C2×C4—1364no—
640C2×C4C4⋊C4×D1712yes—
641C2×C4C22×C4×D1711yescharacteristic
642C2×C4C2×D4×D1711yescharacteristic
643C2×C4#1058769111yescharacteristic
644C2×C4C2×Q8×D1711yescharacteristic
645C2×C4#41×D1711yescharacteristic
646C2×C4#1058769711yescharacteristic
647C8—22no—
648C8—22no—
649C8—174no—
650C8—342no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—22no—
657C22—174no—
658C22—342no—
659C22—342no—
660C22—342no—
661C22—342no—
662C22—342no—
663C22—342no—
664C22#107×D1714yescomplemented
665C22C2×C4⋊C4×D1711yescharacteristic
666C22#1176344111yescharacteristic
667C22#1176345711yescharacteristic
668C22C2×D8×D1711yescharacteristic
669C22C2×Q16×D1711yescharacteristic
670C22#1176361311yescharacteristic
671C22#1176362511yescharacteristic
672C4—22no—
673C4—42no—
674C4—81no—
675C4—81no—
676C4—81no—
677C4—174no—
678C4—342no—
679C4—342no—
680C4—682no—
681C4—1361no—
682C4—1361no—
683C4—1361no—
684C4C4×D4×D1711yescharacteristic
685C4#1176328811yescharacteristic
686C4#1176347211yescharacteristic
687C4#1176351311yescharacteristic
688C2—24no—
689C2—344no—
690C2#1453168211yescharacteristic
691C2C2×#107×D1711yescharacteristic
692C2#1453738311yescharacteristic
693C2#1454045411yescharacteristic
694C2#1454052911yescharacteristic
695C2#1454112611yescharacteristic
696C2#1454117111yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#1852C2
socleC23×C17C22×D4
prime radicalC22×C22⋊D17D4
cosocleC22×C4×C17C24
hypercenter#1852D17
hypocenterC17D4×#107
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C22×#10587478C2semidirect
3. C2×#107×D17C2semidirect
6. #14529541C2semidirect
7. #14529539C2semidirect
8. #14528974C2semidirect
9. #14528973C2semidirect
10. #14528970C2semidirect
11. #14528942C2semidirect
12. #14528812C2semidirect
13. #14528811C2semidirect
14. #14528676C2semidirect
15. C17×#1852C2semidirect
24. #11762872C4semidirect
106. C22×#3622C2×C4semidirect
111. C2×C8×D17C2×C4semidirect
119. C17×C22⋊C8C2×C4semidirect
126. #10587491C2×C4semidirect
129. #10587485C2×C4semidirect
130. C8×Dic17C2×C4semidirect
136. #10587478D4semidirect
270. C22⋊D17#107semidirect
302. #3622C4×D4semidirect
313. #1852D17semidirect
324. C22×C17C2×#107semidirect
338. C2×D17C2×#107semidirect
354. Dic17C2×#107semidirect
477. C22⋊C8C4×D17semidirect
485. C17D4×#107semidirect
664. C22#107×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117628722
C22×#105874782
C2×#107×D172
C4⋊C4×C22⋊D172
#145316802
#145295412
#145295392
#145289742
#145289732
#145289702
#145289422
#145288122
#145288112
#145286762
C17×#18522
D4×#10717