Finite Group Databasebeta

← #17980094

Subgroups — #17980094

Order 4352.

2242 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14545662C214yesmaximal, complemented
2#14545656C214yesmaximal, complemented
3#14545654C214yesmaximal, complemented
4#14545651C214yesmaximal, complemented
5#14545523C214yesmaximal, complemented
6D4×#63243C214yesmaximal, complemented
7#14545465C212yesmaximal, complemented
8#14545369C212yesmaximal, complemented
9C2×#11763780C212yesmaximal, complemented
10D17×#525C211yesmaximal, characteristic
11C22×#63243C2212yes—
12C22×#63243C2212yes—
13C22×#63243C2212yescomplemented
14C2×D17⋊M16C2212yescomplemented
15#11763843C2218yescomplemented
16#11763842C2218yescomplemented
17#11763840C2218yescomplemented
18#11763839C2218yescomplemented
19#11763838C2218yescomplemented
20#11763838C2218yescomplemented
21#11763836C2218yescomplemented
22D4×#3624C2218yescomplemented
23#11763834C2218yescomplemented
24#11763833C2218yescomplemented
25#11763814C2212yescomplemented
26#11763813C2212yescomplemented
27#11763784C2214yescomplemented
28#11763783C2214yescomplemented
29#11763782C2214yescomplemented
30#11763782C2214yescomplemented
31#11763780C2214yes—
32#11763780C2214yes—
33#11763780C2214yescomplemented
34#11763780C2214yescomplemented
35#11763780C2214yescomplemented
36C2×#10587543C2214yescomplemented
37C2×C22⋊#3624C2214yescomplemented
38C4×#63243C2214yescomplemented
39C2×#41×D17C2211yescharacteristic
40C23×C4×D17C2211yescharacteristic
41#11763322C2212yes—
42#11763321C411yescharacteristic
43#11763320C411yescharacteristic
44#11763319C2212yes—
45#11763318C414yes—
46#11763317C2212yes—
47#11763316C411yescharacteristic
48#11763315C2212yes—
49#123×D17C412yes—
50C22⋊Q8×D17C412yes—
51#121×D17C412yes—
52#120×D17C412yes—
53C4×D4×D17C2214yes—
54#117×D17C2211yescharacteristic
55C17×#525C411yescharacteristic
56C24×D17C2×C411yescharacteristic
57C2×#41×C17C2×C411yescharacteristic
58C23×C4×C17C2×C411yescharacteristic
59C23×Dic17C2311yescharacteristic
60#41×D17—42no—
61#41×D17—42no—
62C2×#63256C2311yescharacteristic
63C2×Q8×D17C2×C411yescharacteristic
64C2×#63254C2311yescharacteristic
65C2×#63254C2312yes—
66C2×D4×D17C2×C414yes—
67C2×D4×D17C2×C412yes—
68C2×D4×D17C2×C411yescharacteristic
69C2×#63252C2×C412yes—
70C2×#63252C2×C411yescharacteristic
71C22×C4×D17—42no—
72C22×C4×D17—42no—
73C22×C4×D17C2×C412yes—
74C22×C4×D17C2×C411yescharacteristic
75C22×C4×D17C2×C411yescharacteristic
76C22×C4×D17C2×C412yes—
77C22×C4×D17C2311yescharacteristic
78C22×C4×D17C2312yes—
79C22×C4×D17C2312yes—
80C22×C4×D17C2312yes—
81C22×C4×D17C2311yescharacteristic
82C2×#63247C2314yescomplemented
83C22×#3624C2314yes—
84C22×#3624C2314yes—
85C22×#3624C2314yescomplemented
86D17⋊M16—44no—
87C2×#63243—44no—
88C2×#63243—44no—
89C2×#63243—44no—
90C2×#63243C2314yes—
91C2×#63243C2314yes—
92C2×#63243C2314yes—
93C2×#63243C2314yes—
94C2×#63243C2314yescomplemented
95C2×#63242C2314yescomplemented
96C17×#123C2×C412yes—
97C17×C22⋊Q8C2×C412yes—
98C17×#121C2×C412yes—
99C17×#120C2×C412yes—
100C4×D4×C17C2×C414yes—
101C17×#117C2×C411yescharacteristic
102#10587639C2×C412yes—
103#10587632C2×C412yes—
104#10587625C2×C414yes—
105#10587624C2×C412yes—
106#10587623C2×C412yes—
107#10587623C2×C414yes—
108#10587621C2×C412yes—
109D4×Dic17C2314yes—
110#10587616C2×C412yes—
111#10587615C2×C412yes—
112C4×C22⋊D17C2×C414yes—
113C4×C22⋊D17C2×C414yes—
114#10587612C2×C411yescharacteristic
115#10587610C2×C412yes—
116#10587583C2×C412yes—
117#10587582C2×C414yes—
118#10587581C2×C412yes—
119#10587580C2×C414yes—
120#10587579C2314yes—
121#10587578C2312yes—
122C4⋊C4×D17C2×C412yes—
123C4⋊C4×D17C2×C414yes—
124#10587572C2×C412yes—
125#10587570C2×C414yes—
126#10587569C2×C414yes—
127#10587568C2×C412yes—
128#10587568C2×C414yes—
129#10587567C2314yes—
130#10587567C2314yes—
131C22⋊C4×D17C2×C412yes—
132C22⋊C4×D17C2×C414yes—
133C22⋊C4×D17C2×C414yes—
134#10587564C2×C414yes—
135#10587563C2312yes—
136C4×D68C2×C414yes—
137#10587558C2×C412yes—
138C42×D17C2312yes—
139C22⋊#3624C2318yes—
140C22⋊#3624C2318yes—
141C22⋊#3624C2318yescomplemented
142#10587544C2318yescomplemented
143#10587543C2318yes—
144#10587543C2318yes—
145#10587543C2318yescomplemented
146#10587542C2318yescomplemented
147C4⋊#3624C2318yescomplemented
148C4×#3624C2318yescomplemented
149C24×C17C22×C411yescharacteristic
150C23×D17—42no—
151C23×D17—44no—
152C23×D17C22×C412yes—
153C23×D17C22×C411yescharacteristic
154C23×D17C22×C412yes—
155C23×D17C22×C412yes—
156C23×D17C22×C411yescharacteristic
157#41×C17—42no—
158C2×Q8×C17C22×C411yescharacteristic
159C2×D4×C17C22×C414yes—
160C2×D4×C17C22×C412yes—
161C2×D4×C17C22×C411yescharacteristic
162C22×C4×C17—42no—
163C22×C4×C17C22×C411yescharacteristic
164C22×C4×C17C22×C412yes—
165C22×C4×C17C22×C412yes—
166C22×C4×C17C22×C412yes—
167C22×C4×C17C22×C411yescharacteristic
168C2×C22⋊D17C22×C414yes—
169C2×C22⋊D17C22×C412yes—
170C2×C22⋊D17C22×C412yes—
171C2×C22⋊D17C22×C412yes—
172C2×C22⋊D17C22×C414yes—
173C22×Dic17—41no—
174C22×Dic17—41no—
175C22×Dic17C22×C412yes—
176C22×Dic17C22×C411yescharacteristic
177C22×Dic17C2412yes—
178C22×Dic17C2412yes—
179C22×Dic17C2411yescharacteristic
180#63256—41no—
181#63256—41no—
182Q8×D17—42no—
183#63254—42no—
184#63254—42no—
185#63254—41no—
186#63254—41no—
187D4×D17—42no—
188D4×D17—44no—
189D4×D17—48no—
190#63252—44no—
191#63252—42no—
192C2×D68C22×C412yes—
193C2×D68C22×C411yescharacteristic
194C2×D68C22×C414yes—
195C2×C4×D17—24no—
196C2×C4×D17—24no—
197C2×C4×D17—24no—
198C2×C4×D17—24no—
199C2×C4×D17—22no—
200C2×C4×D17—22no—
201C2×C4×D17—41no—
202C2×C4×D17—41no—
203C2×C4×D17—42no—
204C2×C4×D17—42no—
205C2×C4×D17—42no—
206C2×C4×D17—44no—
207C2×C4×D17—42no—
208C2×C4×D17—44no—
209C2×C4×D17C22×C411yescharacteristic
210C2×C4×D17C22×C411yescharacteristic
211C2×C4×D17C22×C412yes—
212C2×C4×D17C22×C412yes—
213C2×C4×D17C22×C412yes—
214C2×C4×D17C22×C412yes—
215C2×C4×D17C22×C412yes—
216C2×C4×D17C22×C412yes—
217C2×C4×D17C22×C412yes—
218C2×C4×D17C22×C414yes—
219C2×C4×D17C2412yes—
220C2×C4×D17C2412yes—
221C2×C4×D17C2411yescharacteristic
222C2×C4×D17C2411yescharacteristic
223C2×Dic34C22×C412yes—
224C2×Dic34C22×C411yescharacteristic
225#63247—44no—
226C2×#3624—44no—
227C2×#3624—44no—
228C2×#3624—44no—
229C2×#3624C2418yes—
230C2×#3624C2418yes—
231#63243—28no—
232#63243—28no—
233#63243—44no—
234#63243—44no—
235#63243—44no—
236#63242—44no—
237C4⋊C4×C17C22×C414yes—
238C4⋊C4×C17C22×C412yes—
239C22⋊C4×C17C22×C414yes—
240C22⋊C4×C17C22×C412yes—
241C22⋊C4×C17C22×C414yes—
242C42×C17C22×C412yes—
243C22⋊Dic17C22×C412yes—
244C22⋊Dic17C22×C414yes—
245C22⋊Dic17C22×C414yes—
246#63227C22×C414yes—
247#63227C22×C414yes—
248#63227C22×C414yes—
249#63227C22×C414yes—
250#63227C22×C414yes—
251C4⋊Dic17C22×C414yes—
252C4⋊Dic17C22×C412yes—
253#63225C22×C414yes—
254#63225C22×C414yes—
255#63225C22×C414yes—
256C4×Dic17C22×C412yes—
257C4×Dic17C2414yes—
258#60231—171nomaximal, Sylow
259C23×C17—24no—
260C23×C17—41no—
261C23×C17C23×C411yescharacteristic
262C23×C17C23×C412yes—
263C23×C17C23×C412yes—
264C22×D17—24no—
265C22×D17—24no—
266C22×D17—22no—
267C22×D17—24no—
268C22×D17—24no—
269C22×D17—42no—
270C22×D17—41no—
271C22×D17—42no—
272C22×D17—42no—
273C22×D17—42no—
274C22×D17—42no—
275C22×D17—44no—
276C22×D17—416no—
277C22×D17C23×C411yescharacteristic
278C22×D17C23×C412yes—
279C22×D17C23×C412yes—
280C22×D17C23×C411yescharacteristic
281Q8×C17—41no—
282D4×C17—28no—
283D4×C17—41no—
284D4×C17—42no—
285C2×C4×C17—22no—
286C2×C4×C17—24no—
287C2×C4×C17—24no—
288C2×C4×C17—42no—
289C2×C4×C17—41no—
290C2×C4×C17C23×C414yes—
291C2×C4×C17C23×C412yes—
292C2×C4×C17C23×C412yes—
293C2×C4×C17C23×C411yescharacteristic
294C2×C4×C17C23×C411yescharacteristic
295C22⋊D17—28no—
296C22⋊D17—42no—
297C22⋊D17—42no—
298C22⋊D17—42no—
299C22⋊D17—44no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—22no—
303C2×Dic17—22no—
304C2×Dic17—21no—
305C2×Dic17—21no—
306C2×Dic17—42no—
307C2×Dic17—41no—
308C2×Dic17C23×C414yes—
309C2×Dic17C23×C412yes—
310C2×Dic17C23×C412yes—
311C2×Dic17C23×C411yescharacteristic
312C2×Dic17C2511yescharacteristic
313D68—41no—
314D68—42no—
315D68—44no—
316C4×D17—24no—
317C4×D17—22no—
318C4×D17—24no—
319C4×D17—24no—
320C4×D17—22no—
321C4×D17—24no—
322C4×D17—22no—
323C4×D17—22no—
324C4×D17—22no—
325C4×D17—22no—
326C4×D17—21no—
327C4×D17—21no—
328C4×D17—42no—
329C4×D17—42no—
330C4×D17—42no—
331C4×D17—44no—
332C4×D17H(5,𝔽2)12yes—
333C4×D17H(5,𝔽2)12yes—
334Dic34—42no—
335Dic34—41no—
336#3624—28no—
337#3624—28no—
338C2×#525—171no—
339#2978—174no—
340#2977—174no—
341#2976—174no—
342#2976—174no—
343D4×M16—174no—
344D4×M16—174no—
345#2921—172no—
346#2879—172no—
347C2×#407—172no—
348C22×C17—22no—
349C22×C17—22no—
350C22×C17—21no—
351C22×C17—22no—
352C22×C17—24no—
353C22×C17—22no—
354C22×C17—44no—
355C22×C17#56814yes—
356C22×C17C24×C411yescharacteristic
357C2×D17—22no—
358C2×D17—21no—
359C2×D17—22no—
360C2×D17—22no—
361C2×D17—22no—
362C2×D17—24no—
363C2×D17—22no—
364C2×D17—22no—
365C2×D17—48no—
366C2×D17—44no—
367C2×D17—48no—
368C2×D17—44no—
369C2×D17—84no—
370C2×D17#51812yes—
371C4×C17—21no—
372C4×C17—22no—
373C4×C17—22no—
374C4×C17—24no—
375C4×C17#51812yes—
376Dic17—21no—
377Dic17—22no—
378Dic17—22no—
379Dic17—24no—
380Dic17C2×H(5,𝔽2)11yescharacteristic
381Dic17C2×H(5,𝔽2)11yescharacteristic
382C22×#41—171no—
383C24×C4—171no—
384C22×M16—172no—
385C22×M16—172no—
386C22×M16—172no—
387C22×M16—172no—
388#525—171no—
389#525—171no—
390#525—172no—
391#525—172no—
392#525—172no—
393#525—172no—
394#525—174no—
395#525—171no—
396#525#59511yescharacteristic
397C2×#123—172no—
398C2×C22⋊Q8—172no—
399C2×#121—172no—
400C2×#120—172no—
401C2×C4×D4—174no—
402C2×#117—171no—
403#436—178no—
404#436—178no—
405#435—178no—
406#435—178no—
407#435—178no—
408#435—178no—
409C8×D4—178no—
410C8×D4—178no—
411#433—178no—
412#433—178no—
413#423—172no—
414#423—172no—
415#408—174no—
416#408—174no—
417#408—174no—
418#408—174no—
419#407—174no—
420#407—174no—
421#407—174no—
422#407—174no—
423#407—174no—
424C2×C22⋊C8—174no—
425C2×C22⋊C8—174no—
426C4×M16—174no—
427C2×C17—24no—
428C2×C17—41no—
429C2×C17—42no—
430C2×C17C2×#51811yescharacteristic
431C2×C17C2×#56812yes—
432D17—22no—
433D17—41no—
434D17—42no—
435D17—42no—
436C25—171no—
437C2×#41—171no—
438C2×#41—172no—
439C2×#41—171no—
440C2×#41—172no—
441C2×#41—171no—
442C2×#41—682no—
443C2×#41—682no—
444C2×#41C2×#59511yescharacteristic
445C22×Q8—171no—
446C22×D4—174no—
447C22×D4—172no—
448C22×D4—171no—
449C23×C4—171no—
450C23×C4—171no—
451C23×C4—172no—
452C23×C4—172no—
453C23×C4—172no—
454C23×C4—171no—
455C23×C4—172no—
456C23×C4—171no—
457C23×C4—172no—
458C23×C4—171no—
459C23×C4—682no—
460C23×C4—682no—
461C23×C4C2×#59511yescharacteristic
462C2×M16—174no—
463C2×M16—174no—
464C2×M16—174no—
465C2×M16—174no—
466C2×M16—174no—
467C2×M16—174no—
468C2×M16—684no—
469C2×M16—684no—
470C2×M16—684no—
471C2×M16—684no—
472C22×C8—174no—
473C22×C8—174no—
474C22×C8—174no—
475C22×C8—174no—
476#123—172no—
477#123—172no—
478#123—174no—
479#123—174no—
480#123—172no—
481#123C2×#59512yes—
482C22⋊Q8—172no—
483C22⋊Q8—172no—
484C22⋊Q8—174no—
485C22⋊Q8—172no—
486C22⋊Q8—174no—
487C22⋊Q8C2×#59512yes—
488#121—172no—
489#121—174no—
490#121—172no—
491#121—172no—
492#121—174no—
493#121C2×#59512yes—
494#120—172no—
495#120—172no—
496#120—174no—
497#120—174no—
498#120—172no—
499#120C2×#59512yes—
500C4×D4—174no—
501C4×D4—174no—
502C4×D4—174no—
503C4×D4—174no—
504C4×D4—174no—
505C4×D4—174no—
506C4×D4—174no—
507C4×D4C2×#59514yes—
508#117—171no—
509#117—172no—
510#117—172no—
511#117—172no—
512#117C2×#59511yescharacteristic
513C2×C4⋊C4—172no—
514C2×C4⋊C4—174no—
515C2×C22⋊C4—172no—
516C2×C22⋊C4—174no—
517C2×C22⋊C4—174no—
518C2×C42—172no—
519C4⋊C8—178no—
520C4⋊C8—178no—
521C22⋊C8—178no—
522C22⋊C8—178no—
523C22⋊C8—178no—
524C22⋊C8—178no—
525C22⋊C8—178no—
526C22⋊C8—178no—
527#97—178no—
528C4×C8—178no—
529C17#6023111yescharacteristic, complemented, Sylow
530C24—172no—
531C24—171no—
532C24—172no—
533C24—172no—
534C24—171no—
535C24—684no—
536C24—682no—
537C24C22×#59511yescharacteristic
538#41—42no—
539#41—682no—
540#41—684no—
541#41—682no—
542#41—682no—
543#41—681no—
544#41—681no—
545#41—681no—
546#41—681no—
547C2×Q8—171no—
548C2×Q8—172no—
549C2×Q8—682no—
550C2×Q8C22×#59511yescharacteristic
551C2×D4—174no—
552C2×D4—174no—
553C2×D4—172no—
554C2×D4—172no—
555C2×D4—172no—
556C2×D4—174no—
557C2×D4—172no—
558C2×D4—171no—
559C2×D4—682no—
560C2×D4—684no—
561C2×D4—688no—
562C2×D4C22×#59514yes—
563C2×D4C22×#59512yes—
564C2×D4C22×#59511yescharacteristic
565C22×C4—42no—
566C22×C4—171no—
567C22×C4—171no—
568C22×C4—172no—
569C22×C4—172no—
570C22×C4—172no—
571C22×C4—171no—
572C22×C4—172no—
573C22×C4—172no—
574C22×C4—171no—
575C22×C4—171no—
576C22×C4—172no—
577C22×C4—172no—
578C22×C4—171no—
579C22×C4—172no—
580C22×C4—172no—
581C22×C4—174no—
582C22×C4—172no—
583C22×C4—172no—
584C22×C4—172no—
585C22×C4—344no—
586C22×C4—344no—
587C22×C4—344no—
588C22×C4—344no—
589C22×C4—342no—
590C22×C4—342no—
591C22×C4—682no—
592C22×C4—684no—
593C22×C4—681no—
594C22×C4—681no—
595C22×C4—682no—
596C22×C4—682no—
597C22×C4—684no—
598C22×C4—682no—
599C22×C4—681no—
600C22×C4—681no—
601C22×C4C22×#59511yescharacteristic
602C22×C4C22×#59512yes—
603C22×C4C22×#59512yes—
604C22×C4C22×#59512yes—
605C22×C4C22×#59511yescharacteristic
606M16—348no—
607M16—348no—
608M16—684no—
609M16—684no—
610M16—684no—
611M16—684no—
612C2×C8—178no—
613C2×C8—178no—
614C2×C8—684no—
615C2×C8—684no—
616C2×C8—684no—
617C2×C8—684no—
618C4⋊C4—174no—
619C4⋊C4—172no—
620C4⋊C4—174no—
621C4⋊C4—174no—
622C4⋊C4—174no—
623C4⋊C4C22×#59512yes—
624C4⋊C4C22×#59514yes—
625C22⋊C4—172no—
626C22⋊C4—174no—
627C22⋊C4—174no—
628C22⋊C4—174no—
629C22⋊C4—174no—
630C22⋊C4—174no—
631C22⋊C4—174no—
632C22⋊C4—174no—
633C22⋊C4C22×#59512yes—
634C22⋊C4C22×#59514yes—
635C22⋊C4C22×#59514yes—
636C42—174no—
637C42—172no—
638C42C22×#59512yes—
639C23—24no—
640C23—41no—
641C23—171no—
642C23—171no—
643C23—172no—
644C23—172no—
645C23—342no—
646C23—344no—
647C23—344no—
648C23—344no—
649C23—344no—
650C23—682no—
651C23—681no—
652C23—682no—
653C23—682no—
654C23—682no—
655C23—682no—
656C23—684no—
657C23—6816no—
658C23C23×#59511yescharacteristic
659C23C23×#59512yes—
660C23C23×#59512yes—
661Q8—41no—
662Q8—681no—
663Q8—682no—
664D4—28no—
665D4—41no—
666D4—42no—
667D4—348no—
668D4—681no—
669D4—682no—
670D4—684no—
671D4—682no—
672D4—682no—
673D4—682no—
674D4—684no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—171no—
681C2×C4—172no—
682C2×C4—172no—
683C2×C4—174no—
684C2×C4—172no—
685C2×C4—172no—
686C2×C4—171no—
687C2×C4—342no—
688C2×C4—342no—
689C2×C4—342no—
690C2×C4—342no—
691C2×C4—341no—
692C2×C4—341no—
693C2×C4—342no—
694C2×C4—344no—
695C2×C4—344no—
696C2×C4—342no—
697C2×C4—342no—
698C2×C4—342no—
699C2×C4—342no—
700C2×C4—341no—
701C2×C4—341no—
702C2×C4—342no—
703C2×C4—344no—
704C2×C4—344no—
705C2×C4—682no—
706C2×C4—682no—
707C2×C4—682no—
708C2×C4—684no—
709C2×C4—682no—
710C2×C4—681no—
711C2×C4C23×#59514yes—
712C2×C4C23×#59512yes—
713C2×C4C23×#59512yes—
714C2×C4C23×#59511yescharacteristic
715C2×C4C23×#59511yescharacteristic
716C8—348no—
717C8—348no—
718C22—22no—
719C22—22no—
720C22—21no—
721C22—22no—
722C22—24no—
723C22—22no—
724C22—44no—
725C22—172no—
726C22—342no—
727C22—341no—
728C22—342no—
729C22—342no—
730C22—344no—
731C22—342no—
732C22—342no—
733C22—342no—
734C22—688no—
735C22—688no—
736C22—684no—
737C22—684no—
738C22—1364no—
739C22#1176388814yes—
740C22C24×#59511yescharacteristic
741C4—21no—
742C4—22no—
743C4—22no—
744C4—24no—
745C4—171no—
746C4—171no—
747C4—341no—
748C4—342no—
749C4—342no—
750C4—344no—
751C4#1176387612yes—
752C2—24no—
753C2—41no—
754C2—42no—
755C2—342no—
756C2—681no—
757C2—682no—
758C2—682no—
759C2C2×#1176387611yescharacteristic
760C2C2×#1176388812yes—
subgroupG/H
center, FrattiniC22C24×#595
commutator, socleC22×C17C24×C4
FittingC17×#525C4
prime radicalD17×#525C2
cosocleC2×Dic17C25
hypercenter#525#595
hypocenterC17#60231
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #525

Complements

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

NH ≅ G/Ntype
1. #14545662C2semidirect
2. #14545656C2semidirect
3. #14545654C2semidirect
4. #14545651C2semidirect
5. #14545523C2semidirect
6. D4×#63243C2semidirect
7. #14545465C2semidirect
8. #14545369C2semidirect
9. C2×#11763780C2semidirect
13. C22×#63243C22semidirect
14. C2×D17⋊M16C22semidirect
15. #11763843C22semidirect
16. #11763842C22semidirect
17. #11763840C22semidirect
18. #11763839C22semidirect
19. #11763838C22semidirect
20. #11763838C22semidirect
21. #11763836C22semidirect
22. D4×#3624C22semidirect
23. #11763834C22semidirect
24. #11763833C22semidirect
25. #11763814C22semidirect
26. #11763813C22semidirect
27. #11763784C22semidirect
28. #11763783C22semidirect
29. #11763782C22semidirect
30. #11763782C22semidirect
33. #11763780C22semidirect
34. #11763780C22semidirect
35. #11763780C22semidirect
36. C2×#10587543C22semidirect
37. C2×C22⋊#3624C22semidirect
38. C4×#63243C22semidirect
82. C2×#63247C23semidirect
85. C22×#3624C23semidirect
94. C2×#63243C23semidirect
95. C2×#63242C23semidirect
141. C22⋊#3624C23semidirect
142. #10587544C23semidirect
145. #10587543C23semidirect
146. #10587542C23semidirect
147. C4⋊#3624C23semidirect
148. C4×#3624C23semidirect
529. C17#60231semidirect

Maximal subgroups

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

subgroupindex
#145456622
#145456562
#145456542
#145456512
#145455232
D4×#632432
#145454652
#145453692
C2×#117637802
D17×#5252
#6023117