Finite Group Databasebeta

← #17002113

Subgroups — #17002113

Order 4352.

1014 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537825C211yesmaximal, characteristic, complemented
2#14531724C211yesmaximal, characteristic, complemented
3#14527361C212yesmaximal, complemented
4#14527327C212yesmaximal, complemented
5#14527317C211yesmaximal, characteristic, complemented
6#14527313C211yesmaximal, characteristic, complemented
7#14527304C211yesmaximal, characteristic, complemented
8#14527300C211yesmaximal, characteristic, complemented
9#14527288C212yesmaximal, complemented
10#14527270C212yesmaximal, complemented
11C17×#3505C211yesmaximal, characteristic
12#11762887—22no—
13#11762887—22no—
14#11762862C2212yescomplemented
15#11762773C2211yescharacteristic
16#11762773C2211yescharacteristic
17#11762773C2212yescomplemented
18#11762702—21no—
19#11762695—21no—
20#11762689—21no—
21#11762677C2211yescharacteristic, complemented
22#11762672C2211yescharacteristic
23#11762669C2211yescharacteristic, complemented
24C22⋊C4×Dic17—21no—
25C4×C22⋊Dic17C2211yescharacteristic
26#11762655C2211yescharacteristic, complemented
27C2×#10587502C2211yescharacteristic, complemented
28#11762546C2212yescomplemented
29#11762546C2212yescomplemented
30#11762546C2212yescomplemented
31#11762546C2212yescomplemented
32#11762543C2212yes—
33#11762543C2212yes—
34#11762543C2212yes—
35#11762543C2212yes—
36C17×#553—22no—
37C17×#553C412yescomplemented
38C17×#552C412yescomplemented
39C17×#551—22no—
40C17×#548C412yescomplemented
41C17×#546C412yescomplemented
42C17×#539—21no—
43C17×#538—21no—
44C17×#534—21no—
45C17×#529C2212yes—
46C17×#525C2212yes—
47C2×C17×C22⋊Q8C2211yescharacteristic
48C2×C17×#121C2211yescharacteristic
49C17×#518—21no—
50C2×C4×D4×C17C2211yescharacteristic
51C2×#41×C17C2×C412yes—
52C22×Q8×C17C2×C411yescharacteristic, complemented
53C22×D4×C17—21no—
54C22×D4×C17C2×C411yescharacteristic, complemented
55C22×D4×C17D411yescharacteristic
56C23×C4×C17C2311yescharacteristic
57C23×C4×C17C2311yescharacteristic
58C23×Dic17—21no—
59C17×#126—22no—
60C17×#126—22no—
61C17×#126—22no—
62C17×#125—22no—
63C17×#125C2×C412yescomplemented
64C17×#124—22no—
65C17×#124C2×C412yescomplemented
66C17×#123—22no—
67C17×#123—22no—
68C17×#123—22no—
69C17×#123—22no—
70C17×#123—22no—
71C17×C22⋊Q8—21no—
72C17×C22⋊Q8—21no—
73C17×C22⋊Q8—22no—
74C17×C22⋊Q8C2×C412yes—
75C17×C22⋊Q8C2×C412yescomplemented
76C17×C22⋊Q8C2312yes—
77C17×#121—22no—
78C17×#121—22no—
79C17×#121—21no—
80C17×#121—21no—
81C17×#121—22no—
82C17×#121C2×C412yes—
83C17×#121C2×C412yescomplemented
84C17×#121C2312yes—
85C17×#120—22no—
86C17×#120—22no—
87C4×Q8×C17C2×C412yescomplemented
88C4×D4×C17—22no—
89C4×D4×C17—22no—
90C4×D4×C17—22no—
91C4×D4×C17—22no—
92C4×D4×C17—22no—
93C4×D4×C17C2×C412yes—
94C4×D4×C17C2×C412yes—
95C4×D4×C17C2×C412yescomplemented
96C4×D4×C17D412yes—
97C4×D4×C17D412yes—
98C17×#117—22no—
99C17×#117—22no—
100C17×#117C2×C412yes—
101C2×C4⋊C4×C17—21no—
102C2×C4⋊C4×C17C2×C411yescharacteristic, complemented
103C2×C4⋊C4×C17C2×C411yescharacteristic, complemented
104C2×C4⋊C4×C17D411yescharacteristic
105C2×C22⋊C4×C17—21no—
106C2×C22⋊C4×C17—21no—
107C2×C22⋊C4×C17—22no—
108C2×C22⋊C4×C17D411yescharacteristic
109C2×C22⋊C4×C17D411yescharacteristic
110C2×C42×C17C2311yescharacteristic
111C2×C22⋊Dic17—21no—
112C2×C22⋊Dic17—21no—
113C2×C22⋊Dic17—21no—
114C2×C4⋊Dic17—21no—
115C2×C4×Dic17—21no—
116C2×C4×Dic17—21no—
117C2×#63223—21no—
118C2×#63223—21no—
119C2×#63223—22no—
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587502—21no—
125#10587502C2311yescharacteristic
126#10587502C2311yescharacteristic
127#10587502C2311yescharacteristic
128#10587502C2311yescharacteristic
129C22⋊#3622—21no—
130C22⋊#3622—21no—
131C22⋊#3622—22no—
132C22⋊#3622C2312yes—
133C22⋊#3622C2312yes—
134C4⋊#3622—22no—
135C4×#3622—22no—
136C24×C17—21no—
137C24×C17C2×D411yescharacteristic
138C24×C17C2×D411yescharacteristic
139#41×C17—82no—
140C2×Q8×C17—21no—
141C2×Q8×C17—81no—
142C2×Q8×C17C22×C412yes—
143C2×D4×C17—22no—
144C2×D4×C17—22no—
145C2×D4×C17—22no—
146C2×D4×C17—22no—
147C2×D4×C17—21no—
148C2×D4×C17—41no—
149C2×D4×C17—41no—
150C2×D4×C17—42no—
151C2×D4×C17—42no—
152C2×D4×C17—81no—
153C2×D4×C17C22⋊C412yes—
154C2×D4×C17C22⋊C412yes—
155C2×D4×C17C22×C412yes—
156C22×C4×C17—21no—
157C22×C4×C17—21no—
158C22×C4×C17—21no—
159C22×C4×C17—22no—
160C22×C4×C17—22no—
161C22×C4×C17—81no—
162C22×C4×C17—81no—
163C22×C4×C17C22×C412yes—
164C22×C4×C17C22×C411yescharacteristic
165C22×C4×C17C22×C411yescharacteristic
166C22×C4×C17C2×D411yescharacteristic
167C22×C4×C17C2×D411yescharacteristic
168C22×C4×C17C2×D411yescharacteristic
169C22×C4×C17C2×D411yescharacteristic
170C22×C4×C17C2×D411yescharacteristic
171C22×C4×C17C2×D412yes—
172C22×C4×C17C2×D411yescharacteristic
173C22×C4×C17C2411yescharacteristic
174C22×Dic17—21no—
175C22×Dic17—21no—
176C22×Dic17—21no—
177C22×Dic17—21no—
178C22×Dic17—42no—
179C22×Dic17—42no—
180C22×Dic17—81no—
181C4⋊C4×C17—21no—
182C4⋊C4×C17—22no—
183C4⋊C4×C17—22no—
184C4⋊C4×C17—22no—
185C4⋊C4×C17—22no—
186C4⋊C4×C17—22no—
187C4⋊C4×C17—21no—
188C4⋊C4×C17—22no—
189C4⋊C4×C17C22⋊C412yes—
190C4⋊C4×C17C22⋊C412yes—
191C4⋊C4×C17C22×C412yes—
192C4⋊C4×C17C22×C412yes—
193C22⋊C4×C17—22no—
194C22⋊C4×C17—22no—
195C22⋊C4×C17—22no—
196C22⋊C4×C17—22no—
197C22⋊C4×C17—22no—
198C22⋊C4×C17—22no—
199C22⋊C4×C17—22no—
200C22⋊C4×C17—22no—
201C22⋊C4×C17—22no—
202C22⋊C4×C17—22no—
203C22⋊C4×C17C22⋊C412yes—
204C22⋊C4×C17C22⋊C412yes—
205C22⋊C4×C17C22⋊C412yes—
206C22⋊C4×C17C22⋊C412yes—
207C42×C17—22no—
208C42×C17—22no—
209C42×C17C22×C412yes—
210C42×C17C2×D412yes—
211C22⋊Dic17—42no—
212C22⋊Dic17—42no—
213C22⋊Dic17—81no—
214C4⋊Dic17—81no—
215C4×Dic17—42no—
216C4×Dic17—81no—
217#63223—81no—
218#63223—81no—
219#63223—82no—
220C2×#3622—22no—
221C2×#3622—22no—
222#17623—171nomaximal, Sylow
223C23×C17—21no—
224C23×C17—21no—
225C23×C17—21no—
226C23×C17—21no—
227C23×C17—22no—
228C23×C17—41no—
229C23×C17—41no—
230C23×C17—41no—
231C23×C17—41no—
232C23×C17—42no—
233C23×C17—81no—
234C23×C17—81no—
235C23×C17C2×C22⋊C411yescharacteristic
236C23×C17C2×C22⋊C412yes—
237C23×C17C2×C22⋊C411yescharacteristic
238C23×C17C22×D411yescharacteristic
239Q8×C17—42no—
240Q8×C17—81no—
241D4×C17—42no—
242D4×C17—42no—
243D4×C17—42no—
244D4×C17—44no—
245D4×C17—42no—
246D4×C17—42no—
247D4×C17—81no—
248D4×C17—82no—
249D4×C17—82no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—41no—
258C2×C4×C17—42no—
259C2×C4×C17—42no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—42no—
266C2×C4×C17—82no—
267C2×C4×C17—82no—
268C2×C4×C17—81no—
269C2×C4×C17—81no—
270C2×C4×C17C2×C22⋊C412yes—
271C2×C4×C17C2×C22⋊C412yes—
272C2×C4×C17C2×C22⋊C412yes—
273C2×C4×C17C2×C22⋊C411yescharacteristic
274C2×C4×C17C2×C22⋊C411yescharacteristic
275C2×C4×C17C23×C411yescharacteristic
276C2×C4×C17C22×D411yescharacteristic
277C2×Dic17—22no—
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—41no—
288C2×Dic17—41no—
289C2×Dic17—84no—
290#3622—42no—
291#3622—42no—
292#3505D1711yescharacteristic
293#2975—171no—
294#2353—171no—
295#1521—172no—
296#1513—172no—
297#1511—171no—
298#1510—171no—
299#1508—171no—
300#1507—171no—
301#1504—172no—
302#1500—172no—
303C22×C17—21no—
304C22×C17—21no—
305C22×C17—21no—
306C22×C17—22no—
307C22×C17—21no—
308C22×C17—21no—
309C22×C17—21no—
310C22×C17—22no—
311C22×C17—21no—
312C22×C17—22no—
313C22×C17—21no—
314C22×C17—42no—
315C22×C17—42no—
316C22×C17—42no—
317C22×C17—42no—
318C22×C17—42no—
319C22×C17—81no—
320C22×C17—81no—
321C22×C17—162no—
322C22×C17C22×C22⋊C411yescharacteristic
323C22×C17#57511yescharacteristic
324C22×C17#57511yescharacteristic
325C4×C17—21no—
326C4×C17—21no—
327C4×C17—22no—
328C4×C17—21no—
329C4×C17—21no—
330C4×C17—22no—
331C4×C17—22no—
332C4×C17—42no—
333C4×C17—42no—
334C4×C17—42no—
335Dic17—42no—
336Dic17—81no—
337Dic17—81no—
338Dic17—81no—
339#553—22no—
340#553Dic1712yescomplemented
341#552Dic1712yescomplemented
342#551—22no—
343#548Dic1712yescomplemented
344#546Dic1712yescomplemented
345#539—21no—
346#538—21no—
347#534—21no—
348#529C2×D1712yes—
349#525C2×D1712yes—
350C2×C22⋊Q8C2×D1711yescharacteristic
351C2×#121C2×D1711yescharacteristic
352#518—21no—
353C2×C4×D4C2×D1711yescharacteristic
354#436—342no—
355#436—342no—
356#431—172no—
357#407—171no—
358#407—171no—
359#407—172no—
360#388—341no—
361#387—341no—
362#386—341no—
363#383—171no—
364#381—171no—
365#380—171no—
366C4×C22⋊C4—171no—
367C4×C22⋊C4—341no—
368#376—171no—
369C2×#95—171no—
370#328—172no—
371#328—172no—
372#328—172no—
373#328—172no—
374#327—172no—
375#327—172no—
376#327—172no—
377#327—172no—
378C2×C17—21no—
379C2×C17—21no—
380C2×C17—42no—
381C2×C17—41no—
382C2×C17—41no—
383C2×C17—82no—
384C2×C17#288311yescharacteristic
385C2×C17#289611yescharacteristic
386C2×C17#290111yescharacteristic
387C2×#41C2×Dic1712yes—
388C22×Q8C2×Dic1711yescharacteristic, complemented
389C22×D4—21no—
390C22×D4C2×Dic1711yescharacteristic, complemented
391C22×D4C22⋊D1711yescharacteristic
392C23×C4—341no—
393C23×C4C22×D1711yescharacteristic
394C23×C4C22×D1711yescharacteristic
395C2×M16—341no—
396C2×M16—341no—
397C2×M16—342no—
398#126—22no—
399#126—22no—
400#126—22no—
401#125—22no—
402#125C2×Dic1712yescomplemented
403#124—22no—
404#124C2×Dic1712yescomplemented
405#123—22no—
406#123—22no—
407#123—22no—
408#123—22no—
409#123—22no—
410C22⋊Q8—21no—
411C22⋊Q8—21no—
412C22⋊Q8—22no—
413C22⋊Q8C2×Dic1712yes—
414C22⋊Q8C2×Dic1712yescomplemented
415C22⋊Q8C22×D1712yes—
416#121—22no—
417#121—22no—
418#121—21no—
419#121—21no—
420#121—22no—
421#121C2×Dic1712yes—
422#121C2×Dic1712yescomplemented
423#121C22×D1712yes—
424#120—22no—
425#120—22no—
426C4×Q8C2×Dic1712yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4C2×Dic1712yes—
433C4×D4C2×Dic1712yes—
434C4×D4C2×Dic1712yescomplemented
435C4×D4C22⋊D1712yes—
436C4×D4C22⋊D1712yes—
437#117—22no—
438#117—22no—
439#117C2×Dic1712yes—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—341no—
442C2×C4⋊C4C2×Dic1711yescharacteristic, complemented
443C2×C4⋊C4C2×Dic1711yescharacteristic, complemented
444C2×C4⋊C4C22⋊D1711yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—341no—
449C2×C22⋊C4—341no—
450C2×C22⋊C4—341no—
451C2×C22⋊C4C22⋊D1711yescharacteristic
452C2×C22⋊C4C22⋊D1711yescharacteristic
453C2×C42—341no—
454C2×C42—341no—
455C2×C42C22×D1711yescharacteristic
456C4⋊C8—342no—
457C22⋊C8—172no—
458C22⋊C8—172no—
459C22⋊C8—341no—
460C22⋊C8—341no—
461C22⋊C8—342no—
462C4×C8—342no—
463#95—171no—
464#95—171no—
465#95—171no—
466#95—171no—
467#95—341no—
468#95—341no—
469#95—341no—
470#95—341no—
471#95—341no—
472C17#1762311yescharacteristic, complemented, Sylow
473C24—21no—
474C24C2×C22⋊D1711yescharacteristic
475C24C2×C22⋊D1711yescharacteristic
476#41—82no—
477C2×Q8—21no—
478C2×Q8—81no—
479C2×Q8C22×Dic1712yes—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—21no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—81no—
490C2×D4C22⋊Dic1712yes—
491C2×D4C22⋊Dic1712yes—
492C2×D4C22×Dic1712yes—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—341no—
501C22×C4—341no—
502C22×C4—341no—
503C22×C4—341no—
504C22×C4—682no—
505C22×C4—682no—
506C22×C4—1361no—
507C22×C4C22×Dic1711yescharacteristic
508C22×C4C22×Dic1711yescharacteristic
509C22×C4C22×Dic1712yes—
510C22×C4C2×C22⋊D1711yescharacteristic
511C22×C4C2×C22⋊D1711yescharacteristic
512C22×C4C2×C22⋊D1711yescharacteristic
513C22×C4C2×C22⋊D1712yes—
514C22×C4C2×C22⋊D1711yescharacteristic
515C22×C4C2×C22⋊D1711yescharacteristic
516C22×C4C2×C22⋊D1711yescharacteristic
517C22×C4C23×D1711yescharacteristic
518M16—1362no—
519M16—1361no—
520M16—1361no—
521C2×C8—342no—
522C2×C8—342no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—1361no—
532C4⋊C4C22⋊Dic1712yes—
533C4⋊C4C22⋊Dic1712yes—
534C4⋊C4C22×Dic1712yes—
535C4⋊C4C22×Dic1712yes—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—682no—
547C22⋊C4—682no—
548C22⋊C4—1361no—
549C22⋊C4C22⋊Dic1712yes—
550C22⋊C4C22⋊Dic1712yes—
551C22⋊C4C22⋊Dic1712yes—
552C22⋊C4C22⋊Dic1712yes—
553C42—22no—
554C42—22no—
555C42—682no—
556C42—1361no—
557C42C22×Dic1712yes—
558C42C2×C22⋊D1712yes—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—42no—
569C23—81no—
570C23—81no—
571C23C2×C22⋊Dic1711yescharacteristic
572C23C2×C22⋊Dic1712yes—
573C23C2×C22⋊Dic1711yescharacteristic
574C23C22×C22⋊D1711yescharacteristic
575Q8—42no—
576Q8—81no—
577D4—42no—
578D4—42no—
579D4—42no—
580D4—44no—
581D4—42no—
582D4—42no—
583D4—81no—
584D4—82no—
585D4—82no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—82no—
603C2×C4—82no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—342no—
607C2×C4—681no—
608C2×C4—681no—
609C2×C4—681no—
610C2×C4—681no—
611C2×C4—681no—
612C2×C4—681no—
613C2×C4—681no—
614C2×C4—681no—
615C2×C4—681no—
616C2×C4—681no—
617C2×C4—681no—
618C2×C4—1364no—
619C2×C4C2×C22⋊Dic1712yes—
620C2×C4C2×C22⋊Dic1712yes—
621C2×C4C2×C22⋊Dic1712yes—
622C2×C4C2×C22⋊Dic1711yescharacteristic
623C2×C4C2×C22⋊Dic1711yescharacteristic
624C2×C4C23×Dic1711yescharacteristic
625C2×C4C22×C22⋊D1711yescharacteristic
626C8—682no—
627C8—682no—
628C22—21no—
629C22—21no—
630C22—21no—
631C22—22no—
632C22—21no—
633C22—21no—
634C22—21no—
635C22—22no—
636C22—21no—
637C22—22no—
638C22—21no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—81no—
645C22—81no—
646C22—162no—
647C22C22×C22⋊Dic1711yescharacteristic
648C22#1176360711yescharacteristic
649C22#1176360711yescharacteristic
650C4—21no—
651C4—21no—
652C4—22no—
653C4—21no—
654C4—21no—
655C4—22no—
656C4—22no—
657C4—42no—
658C4—42no—
659C4—42no—
660C4—682no—
661C4—1361no—
662C4—1361no—
663C4—1361no—
664C2—21no—
665C2—21no—
666C2—42no—
667C2—41no—
668C2—41no—
669C2—82no—
670C2#1453724511yescharacteristic
671C2#1453730311yescharacteristic
672C2#1453733111yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
Fitting, prime radicalC17×#3505C2
socleC22×C17C22×C22⋊C4
cosocleC22×C4×C17C24
hypercenter#3505D17
hypocenterC17#17623
LCSG ▷ C2×C4×C17 ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #14537825C2semidirect
2. #14531724C2semidirect
3. #14527361C2semidirect
4. #14527327C2semidirect
5. #14527317C2semidirect
6. #14527313C2semidirect
7. #14527304C2semidirect
8. #14527300C2semidirect
9. #14527288C2semidirect
10. #14527270C2semidirect
14. #11762862C22semidirect
17. #11762773C22semidirect
21. #11762677C22semidirect
23. #11762669C22semidirect
26. #11762655C22semidirect
27. C2×#10587502C22semidirect
28. #11762546C22semidirect
29. #11762546C22semidirect
30. #11762546C22semidirect
31. #11762546C22semidirect
37. C17×#553C4semidirect
38. C17×#552C4semidirect
40. C17×#548C4semidirect
41. C17×#546C4semidirect
52. C22×Q8×C17C2×C4semidirect
54. C22×D4×C17C2×C4semidirect
63. C17×#125C2×C4semidirect
65. C17×#124C2×C4semidirect
75. C17×C22⋊Q8C2×C4semidirect
83. C17×#121C2×C4semidirect
87. C4×Q8×C17C2×C4semidirect
95. C4×D4×C17C2×C4semidirect
102. C2×C4⋊C4×C17C2×C4semidirect
103. C2×C4⋊C4×C17C2×C4semidirect
340. #553Dic17semidirect
341. #552Dic17semidirect
343. #548Dic17semidirect
344. #546Dic17semidirect
388. C22×Q8C2×Dic17semidirect
390. C22×D4C2×Dic17semidirect
402. #125C2×Dic17semidirect
404. #124C2×Dic17semidirect
414. C22⋊Q8C2×Dic17semidirect
422. #121C2×Dic17semidirect
426. C4×Q8C2×Dic17semidirect
434. C4×D4C2×Dic17semidirect
442. C2×C4⋊C4C2×Dic17semidirect
443. C2×C4⋊C4C2×Dic17semidirect
472. C17#17623semidirect

Maximal subgroups

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

subgroupindex
#145378252
#145317242
#145273612
#145273272
#145273172
#145273132
#145273042
#145273002
#145272882
#145272702
C17×#35052
#1762317