Finite Group Databasebeta

← #17040708

Subgroups — #17040708

Order 4352.

1120 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763004C211yesmaximal, characteristic
2C2×#11762919C211yesmaximal, characteristic, complemented
3C2×C4×#63228C211yesmaximal, characteristic, complemented
4#14531509C211yesmaximal, characteristic, complemented
5#14529711C211yesmaximal, characteristic, complemented
6#14529552C211yesmaximal, characteristic, complemented
7#14529411C211yesmaximal, characteristic, complemented
8#14529404C211yesmaximal, characteristic, complemented
9#14529132C211yesmaximal, characteristic, complemented
10#14529132C211yesmaximal, characteristic, complemented
11#14528794C211yesmaximal, characteristic, complemented
12#14528641C211yesmaximal, characteristic, complemented
13#14528612C211yesmaximal, characteristic, complemented
14C4×#10587480C211yesmaximal, characteristic, complemented
15C17×#2275C211yesmaximal, characteristic, complemented
16C22×#63228C2211yescharacteristic
17C22×#63228C2211yescharacteristic
18C2×#10587560C2211yescharacteristic
19C2×C4×D68C2211yescharacteristic
20C2×C4×D68C2211yescharacteristic
21#11763004C418yescomplemented
22#11762919—24no—
23C4×#63228—24no—
24C2×#10587478C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26C2×C4⋊#3622C2211yescharacteristic
27C2×C4⋊#3622C2211yescharacteristic
28C2×#10587503C2211yescharacteristic
29C2×#10587503C2211yescharacteristic
30C2×#10587480C2211yescharacteristic
31C2×#10587480C2211yescharacteristic
32C2×#10587480C2211yescharacteristic
33C2×#10587480C2211yescharacteristic
34C2×#10587480C2211yescharacteristic
35C2×#10587480C2211yescharacteristic
36C2×#10587474C2211yescharacteristic
37C2×C4×#3622C2211yescharacteristic
38#11762711C2211yescharacteristic
39#11762711C2211yescharacteristic
40#11762687—21no—
41#11762687—21no—
42#11762687—21no—
43#11762687—21no—
44#11762675C2211yescharacteristic
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762564C2211yescharacteristic
50#11762564C2211yescharacteristic
51C2×C4×D4×C17C2211yescharacteristic
52C2×C4×D4×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C4×C4⋊C4×C17C2211yescharacteristic
55C4×C4⋊C4×C17C2211yescharacteristic
56C4×C4⋊C4×C17C2211yescharacteristic
57C4×C22⋊C4×C17—21no—
58C4×C22⋊C4×C17—21no—
59C4×C22⋊C4×C17—21no—
60C17×#376C2211yescharacteristic
61C2×C17×#95—21no—
62C22×D4×C17C2311yescharacteristic
63C23×C4×C17—21no—
64C23×C4×C17—21no—
65C23×C4×C17—21no—
66C22×D68—21no—
67C22×D68—21no—
68C22×D68C2311yescharacteristic
69C22×D68C2311yescharacteristic
70C22×C4×D17—21no—
71C22×C4×D17—21no—
72C4×D4×C17—22no—
73C4×D4×C17—22no—
74C4×D4×C17—22no—
75C4×D4×C17—22no—
76C4×D4×C17C2×C414yescomplemented
77C4×D4×C17D414yescomplemented
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C22⋊C4×C17—21no—
82C2×C22⋊C4×C17—21no—
83C2×C22⋊C4×C17—21no—
84C2×C42×C17—21no—
85C2×C42×C17—21no—
86C2×C42×C17—21no—
87C2×C42×C17C2311yescharacteristic
88C2×C42×C17C2311yescharacteristic
89C2×C42×C17C2311yescharacteristic
90C2×#63228—22no—
91C2×#63228—22no—
92C2×#63228—22no—
93C2×#63228—22no—
94C2×#63228C2×C414yescomplemented
95C2×#63228C2×C414yescomplemented
96C2×#63227—21no—
97C2×#63227—21no—
98C2×#63227—21no—
99C2×#63227—21no—
100C2×#63227—21no—
101C2×#63227—21no—
102C2×C4⋊Dic17C2311yescharacteristic
103C2×C4⋊Dic17C2311yescharacteristic
104C22×#3622C2311yescharacteristic
105C22×#3622C2311yescharacteristic
106C22×#3622C2311yescharacteristic
107C22×#3622C2311yescharacteristic
108#10587560—22no—
109#10587560C2×C414yescomplemented
110C4×D68—22no—
111C4×D68—22no—
112C4×D68—22no—
113C4×D68—22no—
114C17×#95—21no—
115C17×#95—21no—
116C17×#95—21no—
117C17×#95D411yescharacteristic
118C17×#95D411yescharacteristic
119C17×#95D411yescharacteristic
120C17×#95D411yescharacteristic
121#10587503—22no—
122#10587503—22no—
123#10587502—21no—
124#10587502—21no—
125#10587480—22no—
126#10587480—22no—
127#10587480—22no—
128#10587480—22no—
129#10587480C2×C414yescomplemented
130#10587480C2×C414yescomplemented
131#10587479—22no—
132#10587478—22no—
133C4⋊#3622—22no—
134C4⋊#3622C2×C414yescomplemented
135#10587474—22no—
136C4×#3622—22no—
137C24×C17—21no—
138C23×D17—21no—
139C23×D17—21no—
140C2×D4×C17—21no—
141C2×D4×C17—21no—
142C2×D4×C17—21no—
143C2×D4×C17C22×C412yes—
144C2×D4×C17C2×D412yes—
145C2×D4×C17#4112yes—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—21no—
149C22×C4×C17—24no—
150C22×C4×C17—24no—
151C22×C4×C17—24no—
152C22×C4×C17—81no—
153C22×C4×C17—81no—
154C22×C4×C17—81no—
155C22×C4×C17—81no—
156C22×C4×C17—81no—
157C22×C4×C17—81no—
158C22×C4×C17C2×D411yescharacteristic
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2×D411yescharacteristic
163C22×C4×C17C2×D411yescharacteristic
164C22×C4×C17C2411yescharacteristic
165C22×Dic17—21no—
166C22×Dic17—21no—
167C2×D68—21no—
168C2×D68—21no—
169C2×D68—21no—
170C2×D68—21no—
171C2×D68—21no—
172C2×D68—21no—
173C2×D68—21no—
174C2×D68—21no—
175C2×D68—21no—
176C2×D68—21no—
177C2×D68—24no—
178C2×D68—24no—
179C2×D68—81no—
180C2×D68—81no—
181C2×D68—81no—
182C2×D68—81no—
183C2×D68C22×C412yes—
184C2×D68C22×C412yes—
185C2×C4×D17—42no—
186C2×C4×D17—42no—
187C2×C4×D17—81no—
188C2×C4×D17—81no—
189C2×C4×D17—81no—
190C2×C4×D17—81no—
191C4⋊C4×C17—21no—
192C4⋊C4×C17—21no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17C22×C412yes—
195C4⋊C4×C17C2×D412yes—
196C4⋊C4×C17#4112yes—
197C22⋊C4×C17—24no—
198C22⋊C4×C17—24no—
199C22⋊C4×C17—24no—
200C42×C17—21no—
201C42×C17—21no—
202C42×C17—81no—
203C42×C17—81no—
204C42×C17—81no—
205C42×C17C22×C412yes—
206C42×C17C2×D412yes—
207C42×C17#4112yes—
208C42×C17#4112yes—
209#63228—28no—
210#63228—28no—
211#63227—42no—
212#63227—42no—
213#63227—81no—
214#63227—81no—
215#63227—81no—
216#63227—81no—
217C4⋊Dic17—21no—
218C4⋊Dic17—21no—
219C4⋊Dic17—21no—
220C4⋊Dic17—21no—
221C2×#3622—21no—
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×#3622C22×C412yes—
232C2×#3622C22×C412yes—
233#21513—171nomaximal, Sylow
234C23×C17—22no—
235C23×C17—22no—
236C23×C17—22no—
237C23×C17—41no—
238C23×C17—41no—
239C23×C17—41no—
240C23×C17—41no—
241C23×C17C22×D411yescharacteristic
242C22×D17—22no—
243C22×D17—22no—
244C22×D17—41no—
245C22×D17—41no—
246C22×D17—41no—
247C22×D17—41no—
248C22×D17—41no—
249C22×D17—41no—
250C22×D17—41no—
251C22×D17—41no—
252C22×D17—41no—
253C22×D17—41no—
254C22×D17—41no—
255C22×D17—41no—
256D4×C17—22no—
257D4×C17—22no—
258D4×C17—22no—
259D4×C17C4×D414yes—
260C2×C4×C17—21no—
261C2×C4×C17—21no—
262C2×C4×C17—21no—
263C2×C4×C17—21no—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—21no—
267C2×C4×C17—21no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—21no—
271C2×C4×C17—21no—
272C2×C4×C17—22no—
273C2×C4×C17—21no—
274C2×C4×C17—21no—
275C2×C4×C17—21no—
276C2×C4×C17—21no—
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—84no—
284C2×C4×C17—84no—
285C2×C4×C17—84no—
286C2×C4×C17C4×D412yes—
287C2×C4×C17C4×D412yes—
288C2×C4×C17#12112yes—
289C2×C4×C17#12112yes—
290C2×C4×C17C23×C411yescharacteristic
291C2×C4×C17C22×D411yescharacteristic
292C2×C4×C17C2×#4111yescharacteristic
293C2×C4×C17C2×#4111yescharacteristic
294C2×C4×C17C2×#4111yescharacteristic
295C2×C4×C17C2×#4111yescharacteristic
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302D68—22no—
303D68—22no—
304D68—22no—
305D68—22no—
306D68—41no—
307D68—41no—
308D68—41no—
309D68—41no—
310D68—84no—
311D68—84no—
312C4×D17—84no—
313C4×D17—84no—
314#3622—22no—
315#3622—22no—
316#3622—41no—
317#3622—41no—
318C2×#459—171no—
319C2×#442—171no—
320C2×C4×D8—171no—
321#2328—171no—
322#2275D1711yescharacteristic, complemented
323#1982—171no—
324#1949—171no—
325#1926—171no—
326#1925—171no—
327#1879—171no—
328#1879—171no—
329#1804—171no—
330#1768—171no—
331#1762—171no—
332C4×#102—171no—
333C22×C17—24no—
334C22×C17—42no—
335C22×C17—42no—
336C22×C17—42no—
337C22×C17—42no—
338C22×C17—42no—
339C22×C17—42no—
340C22×C17C2×C4×D411yescharacteristic
341C22×C17C2×#12111yescharacteristic
342C22×C17#52511yescharacteristic
343C22×C17#57611yescharacteristic
344C22×C17#57611yescharacteristic
345C22×C17#57611yescharacteristic
346C22×C17#57711yescharacteristic
347C2×D17—42no—
348C2×D17—42no—
349C2×D17—42no—
350C2×D17—42no—
351C2×D17—42no—
352C2×D17—42no—
353C2×D17—81no—
354C2×D17—81no—
355C2×D17—81no—
356C2×D17—81no—
357C2×D17—81no—
358C2×D17—81no—
359C2×D17—81no—
360C2×D17—81no—
361C4×C17—22no—
362C4×C17—22no—
363C4×C17—22no—
364C4×C17—22no—
365C4×C17—41no—
366C4×C17—41no—
367C4×C17—42no—
368C4×C17—42no—
369C4×C17—42no—
370C4×C17C2×C4×D411yescharacteristic
371C4×C17C4×#4111yescharacteristic
372C4×C17#52911yescharacteristic
373C4×C17#53211yescharacteristic
374Dic17—81no—
375Dic17—81no—
376C22×D8—171no—
377C22×D8—171no—
378C2×#127—171no—
379C2×C4×D4—171no—
380C2×C4×D4—171no—
381C2×C4×D4C2×D1711yescharacteristic
382C2×C4×D4C2×D1711yescharacteristic
383C2×C4×D4C2×D1711yescharacteristic
384#459—178no—
385#442—344no—
386C4×D8—344no—
387C2×#107—171no—
388C2×#106—171no—
389C2×C4⋊C8—171no—
390C2×C4⋊C8—171no—
391C2×#102—171no—
392C2×#102—171no—
393C2×#102—171no—
394C2×#102—171no—
395C2×#102—171no—
396C2×#102—171no—
397C2×#102—171no—
398C2×#102—171no—
399C2×#97—171no—
400C2×C4×C8—171no—
401#390—171no—
402#390—171no—
403#386—341no—
404#386—341no—
405#386—341no—
406#386—341no—
407#382—171no—
408C4×C4⋊C4C2×D1711yescharacteristic
409C4×C4⋊C4C2×D1711yescharacteristic
410C4×C4⋊C4C2×D1711yescharacteristic
411C4×C22⋊C4—21no—
412C4×C22⋊C4—21no—
413C4×C22⋊C4—21no—
414#376C2×D1711yescharacteristic
415C2×#95—21no—
416#340—171no—
417#340—171no—
418#340—171no—
419#340—171no—
420#336—171no—
421#336—171no—
422C2×C17—44no—
423C2×C17C4×#12111yescharacteristic
424C2×C17#294611yescharacteristic
425C2×C17#294811yescharacteristic
426C2×C17#304111yescharacteristic
427C2×C17#304511yescharacteristic
428C2×C17#311911yescharacteristic
429C2×C17#312211yescharacteristic
430D17—82no—
431D17—82no—
432C22×D4—171no—
433C22×D4—171no—
434C22×D4—341no—
435C22×D4—341no—
436C22×D4C22×D1711yescharacteristic
437C23×C4—21no—
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—341no—
441C23×C4—341no—
442C2×D8—174no—
443C2×D8—174no—
444C2×D8—342no—
445C2×D8—342no—
446C2×D8—342no—
447C2×D8—342no—
448C22×C8—171no—
449C22×C8—171no—
450C22×C8—171no—
451C22×C8—171no—
452#127—174no—
453#127—342no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—22no—
458C4×D4—342no—
459C4×D4—342no—
460C4×D4—342no—
461C4×D4—342no—
462C4×D4C4×D1714yescomplemented
463C4×D4D6814yescomplemented
464C2×C4⋊C4—171no—
465C2×C4⋊C4—171no—
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×C22⋊C4—341no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—21no—
481C2×C42C22×D1711yescharacteristic
482C2×C42C22×D1711yescharacteristic
483C2×C42C22×D1711yescharacteristic
484#107—342no—
485#106—342no—
486C4⋊C8—174no—
487C4⋊C8—342no—
488#102—174no—
489#102—174no—
490#102—342no—
491#102—342no—
492#102—342no—
493#102—342no—
494#102—342no—
495#102—342no—
496#97—342no—
497C4×C8—342no—
498#95—21no—
499#95—21no—
500#95—21no—
501#95—341no—
502#95—341no—
503#95C22⋊D1711yescharacteristic
504#95C22⋊D1711yescharacteristic
505#95C22⋊D1711yescharacteristic
506#95C22⋊D1711yescharacteristic
507C17#2151311yescharacteristic, complemented, Sylow
508C24—21no—
509C24—341no—
510C24—341no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—172no—
515C2×D4—172no—
516C2×D4—341no—
517C2×D4—341no—
518C2×D4—341no—
519C2×D4—341no—
520C2×D4—341no—
521C2×D4—341no—
522C2×D4—341no—
523C2×D4—341no—
524C2×D4—341no—
525C2×D4—341no—
526C2×D4—344no—
527C2×D4—344no—
528C2×D4—1361no—
529C2×D4—1361no—
530C2×D4—1361no—
531C2×D4—1361no—
532C2×D4C2×C4×D1712yes—
533C2×D4C2×D6812yes—
534C2×D4#6325212yes—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—81no—
542C22×C4—81no—
543C22×C4—81no—
544C22×C4—81no—
545C22×C4—81no—
546C22×C4—81no—
547C22×C4—341no—
548C22×C4—341no—
549C22×C4—682no—
550C22×C4—682no—
551C22×C4—1361no—
552C22×C4—1361no—
553C22×C4—1361no—
554C22×C4—1361no—
555C22×C4C2×C22⋊D1711yescharacteristic
556C22×C4C2×C22⋊D1711yescharacteristic
557C22×C4C2×C22⋊D1711yescharacteristic
558C22×C4C2×C22⋊D1711yescharacteristic
559C22×C4C2×C22⋊D1711yescharacteristic
560C22×C4C2×C22⋊D1711yescharacteristic
561C22×C4C23×D1711yescharacteristic
562D8—348no—
563D8—348no—
564C2×C8—172no—
565C2×C8—172no—
566C2×C8—341no—
567C2×C8—341no—
568C2×C8—341no—
569C2×C8—341no—
570C2×C8—341no—
571C2×C8—341no—
572C2×C8—341no—
573C2×C8—341no—
574C2×C8—341no—
575C2×C8—341no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—341no—
580C4⋊C4—341no—
581C4⋊C4—341no—
582C4⋊C4—341no—
583C4⋊C4C2×C4×D1712yes—
584C4⋊C4C2×D6812yes—
585C4⋊C4#6325212yes—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—682no—
590C22⋊C4—682no—
591C22⋊C4—1361no—
592C22⋊C4—1361no—
593C22⋊C4—1361no—
594C22⋊C4—1361no—
595C42—21no—
596C42—21no—
597C42—81no—
598C42—81no—
599C42—81no—
600C42C2×C4×D1712yes—
601C42C2×D6812yes—
602C42#6325212yes—
603C42#6325212yes—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—342no—
612C23—342no—
613C23—681no—
614C23—681no—
615C23—681no—
616C23—681no—
617C23—681no—
618C23—681no—
619C23—681no—
620C23—681no—
621C23—681no—
622C23—681no—
623C23—681no—
624C23—681no—
625C23C22×C22⋊D1711yescharacteristic
626D4—22no—
627D4—22no—
628D4—22no—
629D4—342no—
630D4—342no—
631D4—342no—
632D4—342no—
633D4—681no—
634D4—681no—
635D4—681no—
636D4—681no—
637D4—1364no—
638D4—1364no—
639D4C4×D6814yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—84no—
666C2×C4—681no—
667C2×C4—681no—
668C2×C4—681no—
669C2×C4—681no—
670C2×C4—681no—
671C2×C4—681no—
672C2×C4—1364no—
673C2×C4—1364no—
674C2×C4C4×C22⋊D1712yes—
675C2×C4C4×C22⋊D1712yes—
676C2×C4#1058761612yes—
677C2×C4#1058761612yes—
678C2×C4C22×C4×D1711yescharacteristic
679C2×C4C22×D6811yescharacteristic
680C2×C4C2×#6325211yescharacteristic
681C2×C4C2×#6325211yescharacteristic
682C2×C4C2×#6325211yescharacteristic
683C2×C4C2×#6325211yescharacteristic
684C8—342no—
685C8—342no—
686C8—681no—
687C8—681no—
688C22—24no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—682no—
696C22—682no—
697C22—682no—
698C22—682no—
699C22—682no—
700C22—682no—
701C22—1361no—
702C22—1361no—
703C22—1361no—
704C22—1361no—
705C22—1361no—
706C22—1361no—
707C22—1361no—
708C22—1361no—
709C22C2×C4×C22⋊D1711yescharacteristic
710C22C2×#1058761611yescharacteristic
711C22#1176332011yescharacteristic
712C22#1176361211yescharacteristic
713C22#1176361211yescharacteristic
714C22#1176361211yescharacteristic
715C22#1176361711yescharacteristic
716C4—22no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—41no—
721C4—42no—
722C4—42no—
723C4—42no—
724C4—41no—
725C4—1361no—
726C4—1361no—
727C4C2×C4×D6811yescharacteristic
728C4C4×#6325211yescharacteristic
729C4#1176334311yescharacteristic
730C4#1176335911yescharacteristic
731C2—44no—
732C2—1362no—
733C2—1362no—
734C2C4×#1058761611yescharacteristic
735C2#1453761211yescharacteristic
736C2#1453763411yescharacteristic
737C2#1453828711yescharacteristic
738C2#1453832311yescharacteristic
739C2#1453898311yescharacteristic
740C2#1453902711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingC17×#2275C2
socleC23×C17C22×D4
prime radicalC2×#11763004C2
cosocleC22×C4×C17C24
hypercenter#2275D17
hypocenterC17#21513
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ #376 ◁ #2275

Complements

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

NH ≅ G/Ntype
2. C2×#11762919C2semidirect
3. C2×C4×#63228C2semidirect
4. #14531509C2semidirect
5. #14529711C2semidirect
6. #14529552C2semidirect
7. #14529411C2semidirect
8. #14529404C2semidirect
9. #14529132C2semidirect
10. #14529132C2semidirect
11. #14528794C2semidirect
12. #14528641C2semidirect
13. #14528612C2semidirect
14. C4×#10587480C2semidirect
15. C17×#2275C2semidirect
21. #11763004C4semidirect
76. C4×D4×C17C2×C4semidirect
77. C4×D4×C17D4semidirect
94. C2×#63228C2×C4semidirect
95. C2×#63228C2×C4semidirect
109. #10587560C2×C4semidirect
129. #10587480C2×C4semidirect
130. #10587480C2×C4semidirect
134. C4⋊#3622C2×C4semidirect
322. #2275D17semidirect
462. C4×D4C4×D17semidirect
463. C4×D4D68semidirect
507. C17#21513semidirect

Maximal subgroups

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

subgroupindex
C2×#117630042
C2×#117629192
C2×C4×#632282
#145315092
#145297112
#145295522
#145294112
#145294042
#145291322
#145287942
#145286412
#145286122
C4×#105874802
C17×#22752
#2151317