Finite Group Databasebeta

← C2×#17367 #6342562

Subgroups — C2×#17367 #6342562

Order 512.

4770 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#518C211yesmaximal, characteristic
2C2×#2973C212yesmaximal, complemented
3#17367C2116yesmaximal, direct product factor
4C2×#1466C212yesmaximal, complemented
5C2×#1465C212yesmaximal, complemented
6C2×#1464C212yesmaximal, complemented
7C2×#1462C212yesmaximal, complemented
8C2×#1459C212yesmaximal, complemented
9C22×#323C212yesmaximal, complemented
10C24×D4C411yescharacteristic
11C2×#518—28no—
12C2×#518—28no—
13C2×#518C418yes—
14C2×#518C2218yes—
15C22×C4×D4C411yescharacteristic
16C22×C4×D4C411yescharacteristic
17C22×C4×D4C411yescharacteristic
18C22×C4×D4C411yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C22×#117C411yescharacteristic
24C22×#117C2211yescharacteristic
25C23×C22⋊C4C411yescharacteristic
26C23×C22⋊C4C411yescharacteristic
27C23×C22⋊C4C2211yescharacteristic
28C23×C22⋊C4C2211yescharacteristic
29#2973—28no—
30#2973C22116yescomplemented
31C2×#435—28no—
32C2×#432C2214yescomplemented
33C2×#407C2214yescomplemented
34C22×C22⋊C8C2214yescomplemented
35#1466C22116yescomplemented
36#1465C22116yescomplemented
37#1464C22116yescomplemented
38#1462C22116yescomplemented
39#1459C22116yescomplemented
40C2×#324C2214yescomplemented
41C2×#323C2214yes—
42C2×#323C22116yescomplemented
43C2×#323C2214yescomplemented
44C2×#323C2214yescomplemented
45C26C2×C411yescharacteristic
46C26C2×C411yescharacteristic
47C23×D4—28no—
48C23×D4—24no—
49C23×D4—24no—
50C23×D4—28no—
51C23×D4C2×C411yescharacteristic
52C23×D4C2×C411yescharacteristic
53C23×D4C2×C418yes—
54C23×D4C2×C411yescharacteristic
55C23×D4C2×C411yescharacteristic
56C24×C4C2×C411yescharacteristic
57C24×C4C2×C411yescharacteristic
58C24×C4C2×C411yescharacteristic
59C24×C4C2×C411yescharacteristic
60C24×C4C2×C411yescharacteristic
61C24×C4C2×C411yescharacteristic
62C24×C4C2×C411yescharacteristic
63C24×C4C2311yescharacteristic
64C24×C4C2311yescharacteristic
65C22×M16—24no—
66C23×C8—24no—
67#518—264no—
68#518—264no—
69C2×C4×D4—24no—
70C2×C4×D4—24no—
71C2×C4×D4—24no—
72C2×C4×D4—24no—
73C2×C4×D4—24no—
74C2×C4×D4—24no—
75C2×C4×D4—24no—
76C2×C4×D4—24no—
77C2×C4×D4—24no—
78C2×C4×D4—24no—
79C2×C4×D4—24no—
80C2×C4×D4—24no—
81C2×C4×D4—24no—
82C2×C4×D4—24no—
83C2×C4×D4C2×C418yes—
84C2×C4×D4C2×C418yes—
85C2×C4×D4C2×C418yes—
86C2×C4×D4C2×C418yes—
87C2×C4×D4C2×C414yes—
88C2×C4×D4C2×C414yes—
89C2×C4×D4C2×C414yes—
90C2×C4×D4C2×C414yes—
91C2×C4×D4D418yes—
92C2×C4×D4D418yes—
93C2×C4×D4C2314yes—
94C2×C4×D4C2314yes—
95C2×C4×D4C2314yes—
96C2×C4×D4C2314yes—
97C2×#117—24no—
98C2×#117—24no—
99C2×#117—24no—
100C2×#117—24no—
101C2×#117C2×C418yes—
102C2×#117C2×C414yes—
103C2×#117C2314yes—
104C22×C4⋊C4C2×C411yescharacteristic
105C22×C4⋊C4C2×C411yescharacteristic
106C22×C4⋊C4C2×C411yescharacteristic
107C22×C4⋊C4C2311yescharacteristic
108C22×C22⋊C4—24no—
109C22×C22⋊C4—24no—
110C22×C22⋊C4—24no—
111C22×C22⋊C4—24no—
112C22×C22⋊C4—24no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—24no—
116C22×C22⋊C4C2×C411yescharacteristic
117C22×C22⋊C4C2×C411yescharacteristic
118C22×C22⋊C4C2×C411yescharacteristic
119C22×C22⋊C4C2×C411yescharacteristic
120C22×C22⋊C4C2×C411yescharacteristic
121C22×C22⋊C4C2×C418yes—
122C22×C22⋊C4C2×C418yes—
123C22×C22⋊C4C2×C411yescharacteristic
124C22×C22⋊C4C2×C411yescharacteristic
125C22×C22⋊C4C2×C414yes—
126C22×C22⋊C4C2×C414yes—
127C22×C22⋊C4C2×C411yescharacteristic
128C22×C22⋊C4C2×C411yescharacteristic
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2311yescharacteristic
131C22×C22⋊C4C2311yescharacteristic
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C42C2×C411yescharacteristic
135C22×C42C2×C411yescharacteristic
136C22×C42C2×C411yescharacteristic
137C22×C42C2311yescharacteristic
138#435—264no—
139#432—28no—
140#432C23116yescomplemented
141C2×C4⋊C8—24no—
142#407—28no—
143#407C23116yescomplemented
144C2×C22⋊C8—24no—
145C2×C22⋊C8—28no—
146C2×C22⋊C8—24no—
147C2×C22⋊C8C2318yes—
148C2×C22⋊C8C23116yescomplemented
149C2×#97—24no—
150#324C23116yescomplemented
151#323C23116yes—
152#323C23116yescomplemented
153#323C23116yescomplemented
154C25—22no—
155C25—22no—
156C25—22no—
157C25—22no—
158C25—24no—
159C25—24no—
160C25—24no—
161C25—82no—
162C25—82no—
163C25—82no—
164C25—82no—
165C25M1618yescomplemented
166C25C22×C414yes—
167C25C22×C411yescharacteristic
168C25C22×C411yescharacteristic
169C25C22×C411yescharacteristic
170C25C22×C411yescharacteristic
171C25C22×C414yes—
172C25C22×C411yescharacteristic
173C22×D4—264no—
174C22×D4—264no—
175C22×D4—22no—
176C22×D4—22no—
177C22×D4—22no—
178C22×D4—22no—
179C22×D4—24no—
180C22×D4—24no—
181C22×D4—24no—
182C22×D4—24no—
183C22×D4—24no—
184C22×D4—24no—
185C22×D4—232no—
186C22×D4—232no—
187C22×D4—232no—
188C22×D4—22no—
189C22×D4—22no—
190C22×D4—24no—
191C22×D4C22⋊C414yes—
192C22×D4C22⋊C414yes—
193C22×D4M1618yescomplemented
194C22×D4C22×C414yes—
195C22×D4C22×C414yes—
196C22×D4C22×C414yes—
197C22×D4C22×C414yes—
198C23×C4—24no—
199C23×C4—22no—
200C23×C4—22no—
201C23×C4—24no—
202C23×C4—22no—
203C23×C4—22no—
204C23×C4—22no—
205C23×C4—22no—
206C23×C4—22no—
207C23×C4—22no—
208C23×C4—22no—
209C23×C4—22no—
210C23×C4—22no—
211C23×C4—22no—
212C23×C4—22no—
213C23×C4—22no—
214C23×C4—82no—
215C23×C4—82no—
216C23×C4—82no—
217C23×C4—82no—
218C23×C4—82no—
219C23×C4—82no—
220C23×C4—82no—
221C23×C4—82no—
222C23×C4C22×C414yes—
223C23×C4C22×C411yescharacteristic
224C23×C4C22×C411yescharacteristic
225C23×C4C22×C411yescharacteristic
226C23×C4C22×C411yescharacteristic
227C23×C4C22×C411yescharacteristic
228C23×C4C22×C411yescharacteristic
229C23×C4C22×C414yes—
230C23×C4C22×C414yes—
231C23×C4C22×C414yes—
232C23×C4C22×C414yes—
233C23×C4C22×C414yes—
234C23×C4C22×C414yes—
235C23×C4C22×C411yescharacteristic
236C23×C4C22×C411yescharacteristic
237C23×C4C22×C411yescharacteristic
238C23×C4C22×C412yes—
239C23×C4C22×C412yes—
240C23×C4C2×D414yes—
241C23×C4C2×D414yes—
242C23×C4C2×D414yes—
243C23×C4C2×D414yes—
244C23×C4C2411yescharacteristic
245C23×C4C2412yes—
246C23×C4C2412yes—
247C2×M16—216no—
248C2×M16—88no—
249C22×C8—28no—
250C22×C8—216no—
251C22×C8—88no—
252C4×D4—232no—
253C4×D4—216no—
254C4×D4—216no—
255C4×D4—216no—
256C4×D4—216no—
257C4×D4—232no—
258C4×D4—232no—
259C4×D4—232no—
260C4×D4—216no—
261C4×D4—216no—
262C4×D4C22⋊C4132yes—
263C4×D4C2×D4132yes—
264#117—232no—
265#117—216no—
266#117—216no—
267C2×C4⋊C4—22no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—22no—
273C2×C4⋊C4C22⋊C414yes—
274C2×C4⋊C4C22⋊C414yes—
275C2×C4⋊C4C22×C414yes—
276C2×C4⋊C4C22×C414yes—
277C2×C4⋊C4C22×C412yes—
278C2×C4⋊C4C22×C414yes—
279C2×C4⋊C4C2412yes—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—22no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—22no—
284C2×C22⋊C4—22no—
285C2×C22⋊C4—22no—
286C2×C22⋊C4—22no—
287C2×C22⋊C4—22no—
288C2×C22⋊C4—22no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—22no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—22no—
294C2×C22⋊C4—216no—
295C2×C22⋊C4—216no—
296C2×C22⋊C4—22no—
297C2×C22⋊C4—22no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—22no—
300C2×C22⋊C4—22no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—216no—
303C2×C22⋊C4—216no—
304C2×C22⋊C4—232no—
305C2×C22⋊C4—232no—
306C2×C22⋊C4C22⋊C414yes—
307C2×C22⋊C4C22⋊C414yes—
308C2×C22⋊C4C22⋊C414yes—
309C2×C22⋊C4C22⋊C414yes—
310C2×C22⋊C4C22×C414yes—
311C2×C22⋊C4C22×C414yes—
312C2×C22⋊C4C22×C414yes—
313C2×C22⋊C4C22×C412yes—
314C2×C22⋊C4C22×C414yes—
315C2×C22⋊C4C22×C414yes—
316C2×C22⋊C4C22×C414yes—
317C2×C22⋊C4C22×C414yes—
318C2×C22⋊C4C22×C412yes—
319C2×C22⋊C4C22×C412yes—
320C2×C22⋊C4C22×C414yes—
321C2×C22⋊C4C22×C414yes—
322C2×C22⋊C4C2412yes—
323C2×C22⋊C4C2412yes—
324C2×C22⋊C4C2412yes—
325C2×C42—22no—
326C2×C42—22no—
327C2×C42—22no—
328C2×C42—22no—
329C2×C42—22no—
330C2×C42—22no—
331C2×C42C22×C414yes—
332C2×C42C22×C414yes—
333C2×C42C22×C414yes—
334C2×C42C22×C412yes—
335C2×C42C2×D414yes—
336C2×C42C2×D414yes—
337C2×C42C2412yes—
338C4⋊C8—216no—
339C22⋊C8—28no—
340C22⋊C8—216no—
341C22⋊C8—216no—
342C22⋊C8C24116yes—
343#97—216no—
344C24—216no—
345C24—216no—
346C24—21no—
347C24—21no—
348C24—21no—
349C24—21no—
350C24—21no—
351C24—21no—
352C24—22no—
353C24—22no—
354C24—22no—
355C24—22no—
356C24—22no—
357C24—28no—
358C24—28no—
359C24—28no—
360C24—28no—
361C24—28no—
362C24—216no—
363C24—216no—
364C24—42no—
365C24—42no—
366C24—42no—
367C24—42no—
368C24—42no—
369C24—42no—
370C24—42no—
371C24—42no—
372C24—42no—
373C24—42no—
374C24—84no—
375C24—84no—
376C24—84no—
377C24—84no—
378C24—816no—
379C24—84no—
380C24—84no—
381C24—84no—
382C24—84no—
383C24—84no—
384C24—84no—
385C24—84no—
386C24—84no—
387C24—816no—
388C24—816no—
389C24—816no—
390C24C2×C22⋊C412yes—
391C24C2×C22⋊C412yes—
392C24C2×C22⋊C412yes—
393C24C2×C22⋊C412yes—
394C24C2×M1614yes—
395C24C2×M1614yes—
396C24C2×M1614yes—
397C24C2×M1614yes—
398C24C2×M1614yes—
399C24C2×M16116yescomplemented
400C24C23×C411yescharacteristic
401C24C23×C412yes—
402C24C23×C412yes—
403C24C23×C412yes—
404C24C23×C412yes—
405C24C23×C412yes—
406C2×D4—2256no—
407C2×D4—216no—
408C2×D4—216no—
409C2×D4—216no—
410C2×D4—216no—
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—28no—
414C2×D4—28no—
415C2×D4—28no—
416C2×D4—28no—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—216no—
420C2×D4—216no—
421C2×D4—216no—
422C2×D4—216no—
423C2×D4—28no—
424C2×D4—28no—
425C2×D4C2×C22⋊C4116yes—
426C2×D4C2×M16116yescomplemented
427C22×C4—216no—
428C22×C4—216no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—28no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—28no—
446C22×C4—28no—
447C22×C4—28no—
448C22×C4—28no—
449C22×C4—28no—
450C22×C4—28no—
451C22×C4—48no—
452C22×C4—48no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—84no—
462C22×C4—84no—
463C22×C4—84no—
464C22×C4—84no—
465C22×C4—82no—
466C22×C4—82no—
467C22×C4—84no—
468C22×C4—84no—
469C22×C4—82no—
470C22×C4—82no—
471C22×C4—84no—
472C22×C4—84no—
473C22×C4—84no—
474C22×C4—84no—
475C22×C4—84no—
476C22×C4—84no—
477C22×C4—84no—
478C22×C4—84no—
479C22×C4—84no—
480C22×C4—84no—
481C22×C4—84no—
482C22×C4—84no—
483C22×C4—84no—
484C22×C4—84no—
485C22×C4C2×C22⋊C412yes—
486C22×C4C2×C22⋊C412yes—
487C22×C4C2×C22⋊C412yes—
488C22×C4C2×C22⋊C412yes—
489C22×C4C2×C22⋊C412yes—
490C22×C4C2×C22⋊C412yes—
491C22×C4C2×C22⋊C412yes—
492C22×C4C2×C22⋊C412yes—
493C22×C4C2×C22⋊C418yes—
494C22×C4C2×C22⋊C418yes—
495C22×C4C2×M1614yes—
496C22×C4C23×C412yes—
497C22×C4C23×C412yes—
498C22×C4C23×C412yes—
499C22×C4C23×C412yes—
500C22×C4C23×C412yes—
501C22×C4C23×C412yes—
502C22×C4C23×C412yes—
503C22×C4C23×C412yes—
504C22×C4C23×C411yescharacteristic
505C22×C4C23×C412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D418yes—
509C22×C4C22×D418yes—
510C22×C4C2511yescharacteristic
511M16—816no—
512C2×C8—216no—
513C2×C8—416no—
514C2×C8—816no—
515C4⋊C4—24no—
516C4⋊C4—28no—
517C4⋊C4—28no—
518C4⋊C4—24no—
519C4⋊C4C2×C22⋊C4116yes—
520C22⋊C4—28no—
521C22⋊C4—28no—
522C22⋊C4—28no—
523C22⋊C4—28no—
524C22⋊C4—24no—
525C22⋊C4—28no—
526C22⋊C4—28no—
527C22⋊C4—28no—
528C22⋊C4—24no—
529C22⋊C4—24no—
530C22⋊C4—24no—
531C22⋊C4—24no—
532C22⋊C4—24no—
533C22⋊C4C2×C22⋊C4116yes—
534C22⋊C4C2×C22⋊C4116yes—
535C42—28no—
536C42—28no—
537C42—28no—
538C42C2×C22⋊C418yes—
539C42C22×D418yes—
540C23—22no—
541C23—24no—
542C23—22no—
543C23—24no—
544C23—232no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—22no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—232no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—48no—
573C23—48no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—48no—
579C23—42no—
580C23—42no—
581C23—48no—
582C23—48no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—48no—
588C23—48no—
589C23—48no—
590C23—48no—
591C23—42no—
592C23—42no—
593C23—48no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—88no—
601C23—88no—
602C23—832no—
603C23—88no—
604C23—88no—
605C23—816no—
606C23—816no—
607C23—832no—
608C23—816no—
609C23—816no—
610C23—832no—
611C23—832no—
612C23#40718yes—
613C23#40718yes—
614C23C22×C22⋊C414yes—
615C23C22×C22⋊C414yes—
616C23C22×C22⋊C411yescharacteristic
617C23C22×C22⋊C411yescharacteristic
618C23C22×M1612yes—
619C23C22×M1612yes—
620C23C22×M1614yes—
621C23C22×M1614yes—
622C23C22×M1614yes—
623C23C22×M1614yes—
624C23C22×M1614yes—
625C23C24×C411yescharacteristic
626D4—232no—
627D4—232no—
628D4—232no—
629D4—232no—
630C2×C4—232no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—48no—
648C2×C4—48no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—48no—
659C2×C4—48no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—88no—
673C2×C4—88no—
674C2×C4—88no—
675C2×C4—88no—
676C2×C4—88no—
677C2×C4—88no—
678C2×C4C22×C22⋊C414yes—
679C2×C4C22×C22⋊C414yes—
680C2×C4C22×C22⋊C414yes—
681C2×C4C22×C22⋊C412yes—
682C2×C4C22×C22⋊C414yes—
683C2×C4C22×M1614yes—
684C2×C4C23×D412yes—
685C8—416no—
686C22—21no—
687C22—21no—
688C22—24no—
689C22—21no—
690C22—21no—
691C22—24no—
692C22—24no—
693C22—24no—
694C22—216no—
695C22—24no—
696C22—24no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—44no—
702C22—44no—
703C22—48no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—48no—
708C22—48no—
709C22—48no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—48no—
715C22—44no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—48no—
723C22—48no—
724C22—48no—
725C22—48no—
726C22—832no—
727C22—832no—
728C22C2×#40712yes—
729C22C2×#40718yes—
730C22C2×#40712yes—
731C22#288312yes—
732C22#288812yes—
733C22C23×C22⋊C411yescharacteristic
734C22C23×M1611yescharacteristic
735C22C23×M1611yescharacteristic
736C4—24no—
737C4—24no—
738C4—22no—
739C4—22no—
740C4—24no—
741C4—24no—
742C4—24no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—42no—
747C2—22no—
748C2—21no—
749C2—21no—
750C2—28no—
751C2—44no—
752C2—44no—
753C2—44no—
754C2—44no—
755C2#1736714yesdirect product factor
756C2C22×#40711yescharacteristic
757C2C2×#288311yescharacteristic
758C2C2×#288811yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC23C24×C4
Frattini, cosocleC22×C4C25
prime radicalC24×D4C4
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2973C2semidirect
3. #17367C2direct (N × H)
4. C2×#1466C2semidirect
5. C2×#1465C2semidirect
6. C2×#1464C2semidirect
7. C2×#1462C2semidirect
8. C2×#1459C2semidirect
9. C22×#323C2semidirect
30. #2973C22semidirect
32. C2×#432C22semidirect
33. C2×#407C22semidirect
34. C22×C22⋊C8C22semidirect
35. #1466C22semidirect
36. #1465C22semidirect
37. #1464C22semidirect
38. #1462C22semidirect
39. #1459C22semidirect
40. C2×#324C22semidirect
42. C2×#323C22semidirect
43. C2×#323C22semidirect
44. C2×#323C22semidirect
140. #432C23semidirect
143. #407C23semidirect
148. C2×C22⋊C8C23semidirect
150. #324C23semidirect
152. #323C23semidirect
153. #323C23semidirect
165. C25M16semidirect
193. C22×D4M16semidirect
399. C24C2×M16semidirect
426. C2×D4C2×M16semidirect
755. C2#17367direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5182
C2×#29732
#173672
C2×#14662
C2×#14652
C2×#14642
C2×#14622
C2×#14592
C22×#3232