Finite Group Databasebeta

← #17076210

Subgroups — #17076210

Order 4352.

1018 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763048C211yesmaximal, characteristic, complemented
2C2×#11763040C211yesmaximal, characteristic
3C2×#11763031C211yesmaximal, characteristic, complemented
4C22×C4⋊#3622C211yesmaximal, characteristic, complemented
5#14537085C211yesmaximal, characteristic
6#14530169C211yesmaximal, characteristic, complemented
7#14530162C211yesmaximal, characteristic, complemented
8#14530106C211yesmaximal, characteristic, complemented
9#14530099C211yesmaximal, characteristic, complemented
10#14529716C211yesmaximal, characteristic, complemented
11#14529552C211yesmaximal, characteristic, complemented
12#14529210C211yesmaximal, characteristic
13#14529205C211yesmaximal, characteristic, complemented
14#14528799C211yesmaximal, characteristic, complemented
15C4×C17×C22⋊Q8C211yesmaximal, characteristic, complemented
16C22×#63231C2211yescharacteristic
17C22×#63230C2211yescharacteristic
18C23×#3622C2211yescharacteristic
19C23×#3622C2211yescharacteristic
20C2×#10587561C2211yescharacteristic
21C2×#10587610C2211yescharacteristic
22C2×#10587616C2211yescharacteristic
23#11763048—24no—
24#11763040—24no—
25#11763031—24no—
26C2×#10587478C2211yescharacteristic
27C2×#10587479C2211yescharacteristic
28C2×C4⋊#3622—24no—
29C2×C4⋊#3622C2211yescharacteristic
30C2×C4⋊#3622C2211yescharacteristic
31C2×C4⋊#3622C2211yescharacteristic
32C2×C4⋊#3622C2211yescharacteristic
33C2×#10587506C2211yescharacteristic
34C2×#10587506C2211yescharacteristic
35C2×#10587481C2211yescharacteristic
36C2×#10587481C2211yescharacteristic
37C2×#10587481C2211yescharacteristic
38C2×#10587480C2211yescharacteristic
39C2×#10587480C2211yescharacteristic
40C2×#10587480C2211yescharacteristic
41#11762715C2211yescharacteristic
42#11762711C2211yescharacteristic
43#11762700—21no—
44#11762700—21no—
45#11762688—21no—
46#11762688—21no—
47#11762675C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762571C2211yescharacteristic
50#11762571C2211yescharacteristic
51#11762571C2211yescharacteristic
52C2×C17×C22⋊Q8C2211yescharacteristic
53C2×C4×Q8×C17C2211yescharacteristic
54C22×C42×C17C2211yescharacteristic
55C17×#391C2211yescharacteristic
56C17×#389C2211yescharacteristic
57C17×#387—21no—
58C17×#385—21no—
59C17×#380C2211yescharacteristic
60C4×C4⋊C4×C17—21no—
61C4×C4⋊C4×C17C2211yescharacteristic
62C4×C22⋊C4×C17—21no—
63C22×Q8×C17C2311yescharacteristic
64C23×C4×C17D411yescharacteristic
65C23×C4×C17D411yescharacteristic
66C23×C4×C17C2311yescharacteristic
67C22×C22⋊D17—21no—
68C22×D68C2311yescharacteristic
69C22×Dic34C2311yescharacteristic
70C17×C22⋊Q8—22no—
71C17×C22⋊Q8D414yes—
72C4×Q8×C17—22no—
73C4×Q8×C17—22no—
74C2×C4⋊C4×C17—21no—
75C2×C4⋊C4×C17—21no—
76C2×C4⋊C4×C17—21no—
77C2×C4⋊C4×C17C2311yescharacteristic
78C2×C4⋊C4×C17C2311yescharacteristic
79C2×C4⋊C4×C17C2311yescharacteristic
80C2×C22⋊C4×C17—21no—
81C2×C22⋊C4×C17—21no—
82C2×C42×C17—22no—
83C2×C42×C17—22no—
84C2×C42×C17—21no—
85C2×C42×C17—21no—
86C2×C42×C17D411yescharacteristic
87C2×C42×C17D411yescharacteristic
88C2×C42×C17C2311yescharacteristic
89C2×C42×C17C2311yescharacteristic
90C2×C22⋊Dic17—21no—
91C2×#63231—22no—
92C2×#63231—22no—
93C2×#63231—41no—
94C2×#63230—22no—
95C2×#63230—22no—
96C2×#63230—41no—
97#10587616—22no—
98#10587616—22no—
99C2×#63227—21no—
100C2×#63227—21no—
101C2×#63227—21no—
102C2×#63227—21no—
103C2×#63227—21no—
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4⋊Dic17C2311yescharacteristic
106#10587610—22no—
107#10587610—22no—
108C2×#63225—21no—
109C22×#3622—22no—
110C22×#3622—22no—
111C22×#3622—22no—
112C22×#3622—22no—
113C22×#3622—41no—
114C22×#3622—41no—
115C22×#3622C2311yescharacteristic
116C22×#3622C2311yescharacteristic
117C22×#3622C2311yescharacteristic
118C22×#3622C2311yescharacteristic
119#10587561—22no—
120#10587561—22no—
121C17×#95—21no—
122C17×#95—21no—
123C17×#95—21no—
124C17×#95—21no—
125C17×#95—21no—
126#10587506—22no—
127#10587506—22no—
128#10587502—21no—
129#10587502—21no—
130#10587502—21no—
131#10587502—21no—
132#10587481—22no—
133#10587481—22no—
134#10587481—41no—
135#10587480—22no—
136#10587480—22no—
137#10587480—41no—
138#10587479—22no—
139#10587478—22no—
140C4⋊#3622—22no—
141C4⋊#3622—22no—
142C4⋊#3622—22no—
143C4⋊#3622D414yescomplemented
144C24×C17C2×D411yescharacteristic
145C23×D17—21no—
146C2×Q8×C17—21no—
147C2×Q8×C17—21no—
148C2×Q8×C17—21no—
149C2×Q8×C17—21no—
150C2×Q8×C17—21no—
151C2×Q8×C17C2×D412yes—
152C22×C4×C17—22no—
153C22×C4×C17—22no—
154C22×C4×C17—22no—
155C22×C4×C17—21no—
156C22×C4×C17—21no—
157C22×C4×C17—21no—
158C22×C4×C17—21no—
159C22×C4×C17—22no—
160C22×C4×C17—21no—
161C22×C4×C17—21no—
162C22×C4×C17—22no—
163C22×C4×C17—21no—
164C22×C4×C17—21no—
165C22×C4×C17—41no—
166C22×C4×C17C2×D412yes—
167C22×C4×C17C2×D411yescharacteristic
168C22×C4×C17C2×D411yescharacteristic
169C22×C4×C17C2×D411yescharacteristic
170C22×C4×C17C2×D411yescharacteristic
171C22×C4×C17C2×D411yescharacteristic
172C22×C4×C17#4112yes—
173C22×C4×C17C2411yescharacteristic
174C2×C22⋊D17—42no—
175C2×C22⋊D17—42no—
176C2×C22⋊D17—42no—
177C22×Dic17—21no—
178C22×Dic17—21no—
179C22×Dic17—21no—
180C2×D68—21no—
181C2×D68—21no—
182C2×D68—21no—
183C2×D68—21no—
184C2×D68—21no—
185C2×D68—21no—
186C2×Dic34—21no—
187C2×Dic34—21no—
188C2×Dic34—21no—
189C2×Dic34—21no—
190C2×Dic34—21no—
191C2×Dic34—21no—
192C4⋊C4×C17—24no—
193C4⋊C4×C17—21no—
194C4⋊C4×C17—21no—
195C4⋊C4×C17—21no—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—21no—
198C4⋊C4×C17—42no—
199C4⋊C4×C17—42no—
200C4⋊C4×C17C2×D412yes—
201C22⋊C4×C17—24no—
202C22⋊C4×C17—42no—
203C42×C17—22no—
204C42×C17—22no—
205C42×C17—21no—
206C42×C17—21no—
207C42×C17—42no—
208C42×C17—42no—
209C42×C17C2×D412yes—
210C42×C17#4112yes—
211C22⋊Dic17—42no—
212#63231—44no—
213#63230—44no—
214#63227—42no—
215#63227—42no—
216#63227—42no—
217#63227—42no—
218#63227—42no—
219C4⋊Dic17—21no—
220C4⋊Dic17—21no—
221C4⋊Dic17—21no—
222C4⋊Dic17—21no—
223#63225—42no—
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×#3622—21no—
234C2×#3622—44no—
235C2×#3622—44no—
236C2×#3622C2×D412yes—
237C2×#3622C2×D412yes—
238#24755—171nomaximal, Sylow
239C23×C17—21no—
240C23×C17—21no—
241C23×C17—21no—
242C23×C17—21no—
243C23×C17#12112yes—
244C23×C17#13512yes—
245C23×C17#13712yes—
246C23×C17C22×D411yescharacteristic
247C22×D17—41no—
248C22×D17—41no—
249C22×D17—41no—
250C22×D17—41no—
251C22×D17—41no—
252C22×D17—41no—
253C22×D17—41no—
254Q8×C17—22no—
255Q8×C17—22no—
256Q8×C17—41no—
257Q8×C17—41no—
258C2×C4×C17—28no—
259C2×C4×C17—21no—
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—22no—
268C2×C4×C17—22no—
269C2×C4×C17—22no—
270C2×C4×C17—22no—
271C2×C4×C17—21no—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—21no—
275C2×C4×C17—21no—
276C2×C4×C17—44no—
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#12112yes—
288C2×C4×C17#12112yes—
289C2×C4×C17#12112yes—
290C2×C4×C17#13512yes—
291C2×C4×C17C22×D411yescharacteristic
292C2×C4×C17C22×D411yescharacteristic
293C2×C4×C17C2×#4111yescharacteristic
294C2×C4×C17C2×#4111yescharacteristic
295C2×C4×C17H(5,𝔽2)11yescharacteristic
296C2×C4×C172−1+411yescharacteristic
297C22⋊D17—84no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—41no—
303C2×Dic17—41no—
304C2×Dic17—41no—
305C2×Dic17—41no—
306C2×Dic17—41no—
307D68—41no—
308D68—41no—
309D68—41no—
310D68—41no—
311Dic34—41no—
312Dic34—41no—
313Dic34—41no—
314Dic34—41no—
315#3622—22no—
316#3622—22no—
317#3622—41no—
318#3622—41no—
319C2×#467—171no—
320C2×#465—171no—
321C2×#464—171no—
322C22×C4⋊C8—171no—
323#2850—171no—
324C4×C22⋊Q8D1711yescharacteristic, complemented
325#2067—171no—
326#2066—171no—
327#2056—171no—
328#2055—171no—
329#1983—171no—
330#1949—171no—
331#1893—171no—
332#1892—171no—
333#1805—171no—
334C22×C17—22no—
335C22×C17—22no—
336C22×C17—22no—
337C22×C17—22no—
338C22×C17—22no—
339C22×C17—22no—
340C22×C17#46414yescomplemented
341C22×C17C2×#12111yescharacteristic
342C22×C17C2×#12111yescharacteristic
343C22×C17#53711yescharacteristic
344C22×C17C2×#13511yescharacteristic
345C22×C17C2×#13511yescharacteristic
346C22×C17C2×#13711yescharacteristic
347C22×C17#57511yescharacteristic
348C2×D17—81no—
349C2×D17—81no—
350C2×D17—81no—
351C2×D17—81no—
352C2×D17—81no—
353C2×D17—81no—
354C2×D17—81no—
355C4×C17—22no—
356C4×C17—22no—
357C4×C17—22no—
358C4×C17—22no—
359C4×C17—42no—
360C4×C17—42no—
361C4×C17—41no—
362C4×C17—81no—
363C4×C17—81no—
364C4×C17D4211yescharacteristic
365C4×C17#54711yescharacteristic
366C4×C17#54811yescharacteristic
367C4×C17#55311yescharacteristic
368Dic17—81no—
369Dic17—81no—
370Dic17—81no—
371C22×Q16—171no—
372C22×SD16—171no—
373C23×C8—171no—
374C23×C8—171no—
375C2×#124—171no—
376C2×C22⋊Q8—171no—
377C2×C22⋊Q8C2×D1711yescharacteristic
378C2×#121—171no—
379C2×C4×Q8C2×D1711yescharacteristic
380C22×C42C2×D1711yescharacteristic
381#467—344no—
382#465—344no—
383#464—344no—
384C2×#107—171no—
385C2×#106—171no—
386C2×C4⋊C8—171no—
387C2×C4⋊C8—171no—
388C2×C4⋊C8—171no—
389C2×C4⋊C8—171no—
390C2×C4⋊C8—344no—
391C2×#103—171no—
392C2×#103—171no—
393C2×#103—171no—
394C2×#103—171no—
395C2×#103—171no—
396C2×#102—171no—
397C2×#102—171no—
398C2×#102—171no—
399#391—171no—
400#391C2×D1711yescharacteristic
401#390—171no—
402#389C2×D1711yescharacteristic
403#388—341no—
404#388—341no—
405#387—21no—
406#386—341no—
407#386—341no—
408#385—21no—
409#382—171no—
410#380C2×D1711yescharacteristic
411C4×C4⋊C4—21no—
412C4×C4⋊C4C2×D1711yescharacteristic
413C4×C22⋊C4—21no—
414#340—171no—
415#340—171no—
416#340—171no—
417#340—171no—
418C2×C17—24no—
419C2×C17#241611yescharacteristic
420C2×C17C2×#46411yescharacteristic
421C2×C17#303511yescharacteristic
422C2×C17#305011yescharacteristic
423C2×C17#305611yescharacteristic
424C2×C17#324811yescharacteristic
425C2×C17#325011yescharacteristic
426D17—161no—
427C22×Q8—171no—
428C22×Q8C22×D1711yescharacteristic
429C22×D4—171no—
430C22×D4—341no—
431C23×C4C22⋊D1711yescharacteristic
432C23×C4C22⋊D1711yescharacteristic
433C23×C4C22×D1711yescharacteristic
434C2×Q16—342no—
435C2×Q16—342no—
436C2×Q16—681no—
437C2×SD16—342no—
438C2×SD16—342no—
439C2×SD16—681no—
440C22×C8—171no—
441C22×C8—171no—
442C22×C8—171no—
443C22×C8—171no—
444C22×C8—342no—
445C22×C8—342no—
446C22×C8—342no—
447C22×C8—342no—
448C22×C8—681no—
449C22×C8—681no—
450#124—342no—
451#124—342no—
452C22⋊Q8—22no—
453C22⋊Q8—342no—
454C22⋊Q8—342no—
455C22⋊Q8D6814yes—
456#121—342no—
457#121—342no—
458C4×Q8—22no—
459C4×Q8—22no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—171no—
464C2×C4⋊C4—171no—
465C2×C4⋊C4—341no—
466C2×C4⋊C4C22×D1711yescharacteristic
467C2×C4⋊C4C22×D1711yescharacteristic
468C2×C4⋊C4C22×D1711yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—341no—
472C2×C22⋊C4—341no—
473C2×C22⋊C4—341no—
474C2×C22⋊C4—341no—
475C2×C22⋊C4—341no—
476C2×C22⋊C4—341no—
477C2×C42—22no—
478C2×C42—22no—
479C2×C42—21no—
480C2×C42—21no—
481C2×C42C22⋊D1711yescharacteristic
482C2×C42C22⋊D1711yescharacteristic
483C2×C42C22×D1711yescharacteristic
484C2×C42C22×D1711yescharacteristic
485#107—342no—
486#106—342no—
487C4⋊C8—174no—
488C4⋊C8—342no—
489C4⋊C8—342no—
490C4⋊C8—342no—
491#103—342no—
492#103—342no—
493#103—342no—
494#103—342no—
495#103—681no—
496#102—342no—
497#102—342no—
498#102—681no—
499#95—21no—
500#95—21no—
501#95—21no—
502#95—21no—
503#95—21no—
504#95—341no—
505#95—341no—
506#95—341no—
507#95—341no—
508C17#2475511yescharacteristic, complemented, Sylow
509C24—341no—
510C24C2×C22⋊D1711yescharacteristic
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—341no—
517C2×Q8—341no—
518C2×Q8—341no—
519C2×Q8—341no—
520C2×Q8—341no—
521C2×Q8—341no—
522C2×Q8C2×D6812yes—
523C2×D4—341no—
524C2×D4—341no—
525C2×D4—341no—
526C2×D4—341no—
527C2×D4—341no—
528C2×D4—341no—
529C2×D4—682no—
530C2×D4—682no—
531C2×D4—682no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—41no—
546C22×C4—341no—
547C22×C4—341no—
548C22×C4—341no—
549C22×C4C2×D6812yes—
550C22×C4#6325212yes—
551C22×C4C2×C22⋊D1711yescharacteristic
552C22×C4C2×C22⋊D1711yescharacteristic
553C22×C4C2×C22⋊D1711yescharacteristic
554C22×C4C2×C22⋊D1711yescharacteristic
555C22×C4C2×C22⋊D1711yescharacteristic
556C22×C4C23×D1711yescharacteristic
557Q16—684no—
558SD16—684no—
559C2×C8—172no—
560C2×C8—172no—
561C2×C8—341no—
562C2×C8—341no—
563C2×C8—341no—
564C2×C8—341no—
565C2×C8—341no—
566C2×C8—341no—
567C2×C8—341no—
568C2×C8—341no—
569C2×C8—341no—
570C2×C8—341no—
571C2×C8—684no—
572C2×C8—684no—
573C4⋊C4—21no—
574C4⋊C4—24no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—341no—
582C4⋊C4—341no—
583C4⋊C4—341no—
584C4⋊C4—341no—
585C4⋊C4—682no—
586C4⋊C4C2×D6812yes—
587C22⋊C4—24no—
588C22⋊C4—42no—
589C22⋊C4—682no—
590C22⋊C4—682no—
591C22⋊C4—682no—
592C22⋊C4—682no—
593C22⋊C4—682no—
594C22⋊C4—682no—
595C42—21no—
596C42—21no—
597C42—22no—
598C42—22no—
599C42—42no—
600C42—42no—
601C42D4×D1712yes—
602C42#6325412yes—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—681no—
608C23—681no—
609C23—681no—
610C23—681no—
611C23—681no—
612C23—681no—
613C23—681no—
614C23#1058761612yes—
615C23#1058762812yes—
616C23#1058763612yes—
617C23C22×C22⋊D1711yescharacteristic
618Q8—22no—
619Q8—22no—
620Q8—41no—
621Q8—41no—
622Q8—681no—
623Q8—681no—
624Q8—681no—
625Q8—681no—
626D4—681no—
627D4—681no—
628D4—681no—
629D4—681no—
630D4—1364no—
631C2×C4—28no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—44no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—681no—
661C2×C4—681no—
662C2×C4—681no—
663C2×C4—681no—
664C2×C4—681no—
665C2×C4—681no—
666C2×C4—681no—
667C2×C4—681no—
668C2×C4—681no—
669C2×C4#1058761612yes—
670C2×C4#1058762512yes—
671C2×C4#1058762512yes—
672C2×C4#1058763612yes—
673C2×C4C22×D6811yescharacteristic
674C2×C4C2×#6325211yescharacteristic
675C2×C4C2×D4×D1711yescharacteristic
676C2×C4C2×#6325411yescharacteristic
677C2×C4#1058769611yescharacteristic
678C2×C4#1058769711yescharacteristic
679C8—342no—
680C8—342no—
681C8—681no—
682C8—681no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—1361no—
690C22—1361no—
691C22—1361no—
692C22—1361no—
693C22—1361no—
694C22—1361no—
695C22—1361no—
696C22#1176303114yescomplemented
697C22C2×#1058762511yescharacteristic
698C22C2×#1058761611yescharacteristic
699C22#1176338711yescharacteristic
700C22C2×#1058763611yescharacteristic
701C22C2×#1058763611yescharacteristic
702C22C2×#1058762811yescharacteristic
703C22#1176360711yescharacteristic
704C4—22no—
705C4—22no—
706C4—22no—
707C4—22no—
708C4—42no—
709C4—41no—
710C4—42no—
711C4—81no—
712C4—81no—
713C4—1361no—
714C4—1361no—
715C4—1361no—
716C4D4×D6811yescharacteristic
717C4#1176346311yescharacteristic
718C4#1176346811yescharacteristic
719C4#1176350511yescharacteristic
720C2—24no—
721C2—2721no—
722C2#1453222411yescharacteristic
723C2C2×#1176303111yescharacteristic
724C2#1453823911yescharacteristic
725C2#1453836211yescharacteristic
726C2#1453841011yescharacteristic
727C2#1454011511yescharacteristic
728C2#1454013111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC4×C17×C22⋊Q8C2
socleC23×C17C22×D4
prime radicalC2×#10587616C22
hypercenterC4×C22⋊Q8D17
hypocenterC17#24755
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#11763048C2semidirect
3. C2×#11763031C2semidirect
4. C22×C4⋊#3622C2semidirect
6. #14530169C2semidirect
7. #14530162C2semidirect
8. #14530106C2semidirect
9. #14530099C2semidirect
10. #14529716C2semidirect
11. #14529552C2semidirect
13. #14529205C2semidirect
14. #14528799C2semidirect
15. C4×C17×C22⋊Q8C2semidirect
143. C4⋊#3622D4semidirect
324. C4×C22⋊Q8D17semidirect
340. C22×C17#464semidirect
508. C17#24755semidirect
696. C22#11763031semidirect

Maximal subgroups

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

subgroupindex
C2×#117630482
C2×#117630402
C2×#117630312
C22×C4⋊#36222
#145370852
#145301692
#145301622
#145301062
#145300992
#145297162
#145295522
#145292102
#145292052
#145287992
C4×C17×C22⋊Q82
#2475517