Finite Group Databasebeta

← #642526

Subgroups — #642526

Order 512.

3246 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2627C211yesmaximal, characteristic, complemented
2C2×#2626C211yesmaximal, characteristic
3C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
4C22×#388C211yesmaximal, characteristic
5#17039C212yesmaximal, complemented
6#17023C212yesmaximal, complemented
7#16818C214yesmaximal, complemented
8#15176C212yesmaximal, complemented
9#15175C212yesmaximal, complemented
10#15074C214yesmaximal, complemented
11#14955C212yesmaximal, complemented
12#14918C212yesmaximal
13#14682C211yesmaximal, characteristic, complemented
14#14339C211yesmaximal, characteristic, complemented
15#14338C211yesmaximal, characteristic
16#13992C212yesmaximal, complemented
17#13991C212yesmaximal
18C22×C22⋊Q8C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic, complemented
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C42C2211yescharacteristic
25#2627—28no—
26#2626—28no—
27C2×#400C2212yescomplemented
28C2×#399C2212yes—
29C2×#398C2214yescomplemented
30C2×#396C2214yes—
31C2×#395C2212yescomplemented
32C2×#393C2212yes—
33C4×C22⋊Q8—28no—
34C2×#391C2211yescharacteristic, complemented
35C2×#389C2211yescharacteristic, complemented
36C2×#388—28no—
37C2×#388C2212yes—
38C2×#388C2212yes—
39C2×#388C2212yes—
40C2×#388C2212yes—
41C2×#388C2214yes—
42C2×#387C2212yescomplemented
43C2×#385C2212yes—
44C2×#385C2212yes—
45C2×#385C2212yes—
46C2×#382C2212yescomplemented
47C2×#381C2212yes—
48C2×#381C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×#379C2212yes—
53C2×#379C2212yes—
54C2×C4×C4⋊C4C2211yescharacteristic, complemented
55C2×C4×C4⋊C4C2212yescomplemented
56C2×C4×C22⋊C4C2212yes—
57C22×#95C2211yescharacteristic
58C22×#95C2211yescharacteristic
59#1443C2214yescomplemented
60#1442C2214yescomplemented
61#1442C2214yescomplemented
62#1442C2214yescomplemented
63#1441C2212yescomplemented
64#1441C2212yescomplemented
65#1441C2214yescomplemented
66#1441C2214yescomplemented
67#1441C2214yescomplemented
68#1440C2214yes—
69#1440C2214yes—
70#1440C2214yes—
71#1439C2212yes—
72#1439C2212yes—
73#1439C2214yes—
74#1439C2214yes—
75#1439C2214yes—
76#1439C2214yes—
77#1437C2214yes—
78#1436C2214yescomplemented
79C4⋊#95C2212yescomplemented
80#1434C2212yescomplemented
81#1434C2214yescomplemented
82#1434C2212yescomplemented
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C26C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C2×C22⋊Q8—24no—
96C2×C22⋊Q8—24no—
97C2×C22⋊Q8D418yes—
98C2×C4×Q8—24no—
99C2×C4×Q8—44no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—24no—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2312yes—
115C22×C22⋊C4—24no—
116C22×C22⋊C4—24no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—24no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—44no—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2314yes—
136C22×C22⋊C4C2314yes—
137C22×C42—44no—
138C22×C42D418yes—
139C22×C42C2312yes—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2312yes—
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145#400—28no—
146#399—28no—
147#398—216no—
148#396—216no—
149#395—28no—
150#393—28no—
151#391—24no—
152#389—24no—
153#388—28no—
154#388—28no—
155#388—28no—
156#388—28no—
157#388—48no—
158#387—28no—
159#385—28no—
160#385—28no—
161#385—28no—
162#382—44no—
163#381—28no—
164#381—28no—
165#380—24no—
166#380—24no—
167#380—24no—
168#379—28no—
169#379—28no—
170C4×C4⋊C4—28no—
171C4×C4⋊C4—24no—
172C4×C22⋊C4—28no—
173C2×#95—24no—
174C2×#95—24no—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C25—22no—
201C25—22no—
202C25—22no—
203C25—22no—
204C25—22no—
205C25—22no—
206C25—42no—
207C25—42no—
208C25—42no—
209C25—42no—
210C25#4114yes—
211C25C2412yes—
212C25C2411yescharacteristic
213C22×Q8—22no—
214C22×Q8—22no—
215C22×Q8—42no—
216C22×Q8—42no—
217C22×Q8C2×D414yes—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—22no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4C2×D414yes—
245C23×C4C2×D414yes—
246C23×C4C2×D414yes—
247C23×C4C2×D414yes—
248C23×C4#4114yes—
249C23×C4#4114yes—
250C23×C4C2412yes—
251C23×C4C2414yes—
252C23×C4C2414yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2412yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2411yescharacteristic
259C23×C4C2411yescharacteristic
260C23×C4C2411yescharacteristic
261C23×C4C2412yes—
262C23×C4C2411yescharacteristic
263C23×C4C2411yescharacteristic
264C23×C4C2411yescharacteristic
265C22⋊Q8—232no—
266C4×Q8—416no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—22no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—22no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—416no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—42no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—42no—
296C2×C4⋊C4—42no—
297C2×C4⋊C4—44no—
298C2×C4⋊C4C2×D418yes—
299C2×C4⋊C4C2×D414yes—
300C2×C22⋊C4—232no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—24no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—416no—
335C2×C22⋊C4—416no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4C2×D418yes—
343C2×C42—24no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—28no—
348C2×C42—416no—
349C2×C42—42no—
350C2×C42—42no—
351C2×C42—44no—
352C2×C42C2×D414yes—
353C2×C42C2×D414yes—
354C2×C42C2×D414yes—
355C2×C42C2×D414yes—
356#95—24no—
357#95—24no—
358#95—24no—
359#95—24no—
360#95—24no—
361#95—24no—
362#95—24no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—28no—
368#95—28no—
369#95—28no—
370#95—28no—
371#95—28no—
372#95—28no—
373#95—28no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95—44no—
380#95—44no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—28no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—22no—
390C24—24no—
391C24—22no—
392C24—22no—
393C24—24no—
394C24—24no—
395C24—24no—
396C24—28no—
397C24—28no—
398C24—48no—
399C24—48no—
400C24—44no—
401C24—44no—
402C24—44no—
403C24—44no—
404C24—48no—
405C24—48no—
406C24—44no—
407C24—44no—
408C24—44no—
409C24—44no—
410C24—84no—
411C24—84no—
412C24—84no—
413C24—84no—
414C24—84no—
415C24—84no—
416C24—84no—
417C24—84no—
418C24C22×D412yes—
419C24C22×D412yes—
420C24C2×#4114yes—
421C24C2×#4112yes—
422C24C2×#4112yes—
423C24C2×#4112yes—
424C242−1+412yes—
425C242−1+412yes—
426C24C2511yescharacteristic
427C2×Q8—28no—
428C2×Q8—48no—
429C2×Q8—44no—
430C2×Q8—44no—
431C2×Q8—48no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—28no—
443C22×C4—28no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—28no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—44no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4—84no—
530C22×C4#121116yes—
531C22×C4C22×D412yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D414yes—
535C22×C4C22×D414yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C2×#4114yes—
542C22×C4C2×#4112yes—
543C22×C4C2×#4112yes—
544C22×C4H(5,𝔽2)14yes—
545C4⋊C4—28no—
546C4⋊C4—216no—
547C4⋊C4—44no—
548C4⋊C4—48no—
549C4⋊C4—44no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—48no—
553C4⋊C4—84no—
554C4⋊C4—84no—
555C4⋊C4—88no—
556C4⋊C4—88no—
557C22⋊C4—216no—
558C22⋊C4—216no—
559C22⋊C4—216no—
560C22⋊C4—48no—
561C22⋊C4—416no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—88no—
569C22⋊C4—88no—
570C22⋊C4—88no—
571C42—28no—
572C42—28no—
573C42—44no—
574C42—44no—
575C42—48no—
576C42—48no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—28no—
595C23—24no—
596C23—24no—
597C23—28no—
598C23—416no—
599C23—416no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—42no—
608C23—42no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—416no—
617C23—44no—
618C23—44no—
619C23—816no—
620C23—816no—
621C23—88no—
622C23—816no—
623C23—88no—
624C23—88no—
625C23—88no—
626C23—816no—
627C23C2×#12114yes—
628C23#52514yes—
629C23#53614yes—
630C23#54814yes—
631C23#54814yes—
632C23#55214yes—
633C23#55214yes—
634C23C23×D411yescharacteristic
635C23C23×D411yescharacteristic
636C23C22×#4111yescharacteristic
637C23C22×#4111yescharacteristic
638C23C22×#4111yescharacteristic
639C23C2×H(5,𝔽2)12yes—
640C23C2×2−1+411yescharacteristic
641C23C2×2−1+411yescharacteristic
642C23#58512yes—
643C23#58512yes—
644C23#58512yes—
645Q8—416no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—416no—
675C2×C4—416no—
676C2×C4—416no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—416no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—88no—
729C2×C4—88no—
730C2×C4C2×#12114yes—
731C2×C4C2×#12114yes—
732C2×C4#53414yes—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—28no—
737C22—28no—
738C22—24no—
739C22—24no—
740C22—28no—
741C22—24no—
742C22—28no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—48no—
747C22—48no—
748C22—832no—
749C22—82no—
750C22—84no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—84no—
755C22#253618yes—
756C22C22×#12111yescharacteristic
757C22C2×#52511yescharacteristic
758C22C2×#53411yescharacteristic
759C22C2×#53611yescharacteristic
760C22#344911yescharacteristic
761C22#344911yescharacteristic
762C22#344911yescharacteristic
763C22#345912yes—
764C22#346012yes—
765C22C2×#54811yescharacteristic
766C22C2×#54811yescharacteristic
767C22C2×#55211yescharacteristic
768C22C2×#55211yescharacteristic
769C22#349112yes—
770C22#349312yes—
771C22#349612yes—
772C22#350012yes—
773C22#350512yes—
774C22#351012yes—
775C22#353512yes—
776C22#353512yes—
777C22#356412yes—
778C22#356412yes—
779C4—24no—
780C4—24no—
781C4—24no—
782C4—42no—
783C4—42no—
784C4—42no—
785C4—44no—
786C4—44no—
787C4—44no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—84no—
792C4—82no—
793C4—84no—
794C2—28no—
795C2—84no—
796C2#3456211yescharacteristic
797C2C2×#253611yescharacteristic
798C2#3500011yescharacteristic
799C2#3511811yescharacteristic
800C2#3532711yescharacteristic
801C2#3744111yescharacteristic
802C2#3754811yescharacteristic
803C2#3942212yes—
804C2#3942312yes—
805C2#3954212yes—
806C2#3954312yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2627C2semidirect
3. C2×C4×C22⋊Q8C2semidirect
5. #17039C2semidirect
6. #17023C2semidirect
7. #16818C2semidirect
8. #15176C2semidirect
9. #15175C2semidirect
10. #15074C2semidirect
11. #14955C2semidirect
13. #14682C2semidirect
14. #14339C2semidirect
16. #13992C2semidirect
19. C22×C4×Q8C22semidirect
27. C2×#400C22semidirect
29. C2×#398C22semidirect
31. C2×#395C22semidirect
34. C2×#391C22semidirect
35. C2×#389C22semidirect
42. C2×#387C22semidirect
46. C2×#382C22semidirect
54. C2×C4×C4⋊C4C22semidirect
55. C2×C4×C4⋊C4C22semidirect
59. #1443C22semidirect
60. #1442C22semidirect
61. #1442C22semidirect
62. #1442C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
65. #1441C22semidirect
66. #1441C22semidirect
67. #1441C22semidirect
78. #1436C22semidirect
79. C4⋊#95C22semidirect
80. #1434C22semidirect
81. #1434C22semidirect
82. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#26272
C2×#26262
C2×C4×C22⋊Q82
C22×#3882
#170392
#170232
#168182
#151762
#151752
#150742
#149552
#149182
#146822
#143392
#143382
#139922
#139912