Finite Group Databasebeta

← #704588

Subgroups — #704588

Order 512.

3797 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2498C211yesmaximal, characteristic, complemented
2C2×#2482C211yesmaximal, characteristic, complemented
3C2×#2411C211yesmaximal, characteristic
4C2×#2623C211yesmaximal, characteristic, complemented
5C22×#399C211yesmaximal, characteristic, complemented
6C2×#2317C211yesmaximal, characteristic, complemented
7#17064C212yesmaximal, complemented
8#16692C212yesmaximal, complemented
9#15765C214yesmaximal, complemented
10#15696C214yesmaximal, complemented
11#15155C212yesmaximal, complemented
12#15020C212yesmaximal, complemented
13#14777C212yesmaximal, complemented
14#14734C212yesmaximal, complemented
15#13995C212yesmaximal
16#13880C212yesmaximal, complemented
17#13799C211yesmaximal, characteristic, complemented
18C22×#123C2211yescharacteristic
19C22×#120C2211yescharacteristic
20C22×#117C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2212yes—
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2212yes—
26#2623—28no—
27#2498—28no—
28#2482—28no—
29#2411—28no—
30C2×#400C2212yescomplemented
31C2×#400C2211yescharacteristic, complemented
32C2×#399—28no—
33C2×#399C2212yes—
34C2×#399C2212yes—
35C2×#399C2212yes—
36C2×#399C2214yes—
37C2×#399C2214yes—
38C2×#399C2212yescomplemented
39C2×#399C2211yescharacteristic, complemented
40C2×#399C2214yescomplemented
41C2×#398C2212yescomplemented
42C2×#398C2211yescharacteristic, complemented
43C2×#397C2212yes—
44C2×#397C2212yescomplemented
45C2×#397C2211yescharacteristic, complemented
46C2×#396C2212yes—
47C2×#394C2212yes—
48#2317—28no—
49C2×#390C2212yes—
50C2×#390C2214yes—
51C2×#389C2214yescomplemented
52C2×#388C2214yes—
53C2×#388C2212yes—
54C2×#388C2212yescomplemented
55C2×#387C2212yescomplemented
56C2×#386C2212yes—
57C2×#386C2211yescharacteristic
58C2×#386C2212yes—
59C2×#385C2212yes—
60C2×#385C2212yes—
61C2×#385C2212yes—
62C2×#385C2211yescharacteristic
63C2×#385C2212yes—
64C2×#384C2212yescomplemented
65C2×#384C2214yescomplemented
66C2×#382C2212yescomplemented
67C2×#381C2211yescharacteristic
68C2×#380C2212yes—
69C2×#379C2211yescharacteristic
70C2×#379C2212yes—
71C2×C4×C22⋊C4C2212yes—
72C22×#95C2211yescharacteristic
73#1445C2214yescomplemented
74#1444C2214yescomplemented
75#1444C2214yescomplemented
76#1444C2214yescomplemented
77#1439C2214yes—
78#1439C2214yes—
79#1439C2214yes—
80#1439C2214yes—
81#1439C2214yescomplemented
82#1438C2214yes—
83#1437C2214yes—
84#1436C2214yescomplemented
85C4⋊#95C2214yescomplemented
86#1434C2212yescomplemented
87C22⋊#95C2212yes—
88C4×#95C2212yescomplemented
89C26C2311yescharacteristic
90C23×D4C2311yescharacteristic
91C23×D4C2312yes—
92C24×C4C2312yes—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2312yes—
96C2×#123—24no—
97C2×#123—24no—
98C2×#123—24no—
99C2×#120—24no—
100C2×#120—28no—
101C2×#117—24no—
102C2×#117—24no—
103C2×#117—24no—
104C2×#117—28no—
105C2×#117D418yes—
106C22×C4⋊C4—24no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—28no—
109C22×C4⋊C4—24no—
110C22×C4⋊C4—48no—
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2312yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2314yes—
127C22×C22⋊C4—28no—
128C22×C22⋊C4—24no—
129C22×C22⋊C4—24no—
130C22×C22⋊C4—24no—
131C22×C22⋊C4—48no—
132C22×C22⋊C4C2311yescharacteristic
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2311yescharacteristic
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2311yescharacteristic
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2314yes—
143C22×C22⋊C4C2311yescharacteristic
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2314yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2314yes—
150C22×C22⋊C4C2314yes—
151C22×C22⋊C4C2311yescharacteristic
152C22×C42C2312yes—
153C22×C42C2314yes—
154C22×C42C2312yes—
155#400—28no—
156#400—24no—
157#399—28no—
158#399—216no—
159#399—28no—
160#399—28no—
161#399—28no—
162#399—24no—
163#399—48no—
164#399—48no—
165#398—28no—
166#398—24no—
167#397—28no—
168#397—28no—
169#397—24no—
170#396—28no—
171#394—28no—
172#390—28no—
173#390—48no—
174#389—216no—
175#388—28no—
176#388—216no—
177#388—28no—
178#387—28no—
179#386—28no—
180#386—28no—
181#386—24no—
182#385—28no—
183#385—28no—
184#385—28no—
185#385—24no—
186#385—28no—
187#384—28no—
188#384—48no—
189#382—28no—
190#381D418yescomplemented
191#380—28no—
192#379—24no—
193#379—28no—
194C4×C22⋊C4—28no—
195C2×#95D418yescomplemented
196C2×#95C2312yes—
197C2×#95C2312yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2312yes—
201C2×#95C2314yes—
202C2×#95C2312yes—
203C2×#95C2314yes—
204C2×#95C2312yes—
205C2×#95C2312yes—
206C2×#95C2314yes—
207C2×#95C2314yes—
208C2×#95C2314yes—
209C2×#95C2314yes—
210C2×#95C2312yes—
211C2×#95C2312yes—
212C2×#95C2311yescharacteristic
213C2×#95C2311yescharacteristic
214C2×#95C2312yes—
215C25—22no—
216C25—24no—
217C25—22no—
218C25—22no—
219C25—24no—
220C25—24no—
221C25—44no—
222C25—42no—
223C25C2411yescharacteristic
224C25C2412yes—
225C25C2411yescharacteristic
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—24no—
230C22×D4—24no—
231C22×D4—24no—
232C22×D4—24no—
233C22×D4—28no—
234C22×D4—42no—
235C22×D4—44no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—28no—
241C23×C4—24no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4C2×D418yes—
252C23×C4C2×D414yes—
253C23×C4C2×D414yes—
254C23×C4C2×D414yes—
255C23×C4C2411yescharacteristic
256C23×C4C2412yes—
257C23×C4C2411yescharacteristic
258C23×C4C2412yes—
259C23×C4C2412yes—
260C23×C4C2414yes—
261C23×C4C2411yescharacteristic
262C23×C4C2412yes—
263C23×C4C2414yes—
264C23×C4C2412yes—
265C23×C4C2411yescharacteristic
266C23×C4C2411yescharacteristic
267C23×C4C2412yes—
268C23×C4C2412yes—
269#123—416no—
270#120—416no—
271#117—232no—
272#117—416no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—28no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—28no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—28no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—28no—
304C2×C4⋊C4—44no—
305C2×C4⋊C4—44no—
306C2×C4⋊C4—432no—
307C2×C4⋊C4—416no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4C2×D418yes—
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—22no—
326C2×C22⋊C4—22no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—28no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—28no—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—28no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—42no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—432no—
362C2×C22⋊C4—416no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4C2×D414yes—
371C2×C22⋊C4C2×D418yes—
372C2×C22⋊C4C2×D414yes—
373C2×C22⋊C4#4118yes—
374C2×C42—28no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—28no—
379C2×C42—28no—
380C2×C42—44no—
381C2×C42C2×D418yes—
382#95—24no—
383#95—24no—
384#95—28no—
385#95—28no—
386#95—24no—
387#95—28no—
388#95—28no—
389#95—24no—
390#95—24no—
391#95—24no—
392#95—28no—
393#95—28no—
394#95—28no—
395#95—44no—
396#95C2×D418yes—
397#95C2×D414yes—
398#95C2×D414yes—
399#95C2×D418yes—
400#95C2×D418yes—
401C24—24no—
402C24—22no—
403C24—22no—
404C24—28no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—24no—
409C24—24no—
410C24—24no—
411C24—22no—
412C24—24no—
413C24—22no—
414C24—22no—
415C24—21no—
416C24—21no—
417C24—21no—
418C24—22no—
419C24—24no—
420C24—22no—
421C24—22no—
422C24—22no—
423C24—48no—
424C24—48no—
425C24—416no—
426C24—416no—
427C24—48no—
428C24—44no—
429C24—44no—
430C24—48no—
431C24—44no—
432C24—44no—
433C24—48no—
434C24—84no—
435C24—84no—
436C24—88no—
437C24—88no—
438C24C22×D412yes—
439C24C22×D412yes—
440C24C22×D412yes—
441C24C2×#4114yes—
442C242−1+414yes—
443C242−1+414yes—
444C24C2511yescharacteristic
445C2×D4—48no—
446C2×D4—416no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—84no—
454C2×D4—88no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—216no—
458C22×C4—216no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—216no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—216no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—24no—
518C22×C4—22no—
519C22×C4—24no—
520C22×C4—22no—
521C22×C4—48no—
522C22×C4—416no—
523C22×C4—416no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—44no—
528C22×C4—48no—
529C22×C4—84no—
530C22×C4—88no—
531C22×C4—84no—
532C22×C4—88no—
533C22×C4#127116yes—
534C22×C4C22×D418yes—
535C22×C4C22×D414yes—
536C22×C4C22×D414yes—
537C22×C4C22×D414yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D414yes—
545C22×C4C2×#4118yes—
546C22×C4H(5,𝔽2)18yes—
547C4⋊C4—216no—
548C4⋊C4—416no—
549C4⋊C4—48no—
550C4⋊C4—48no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—48no—
556C4⋊C4—416no—
557C4⋊C4—84no—
558C4⋊C4—84no—
559C4⋊C4—88no—
560C4⋊C4—88no—
561C4⋊C4—88no—
562C4⋊C4—88no—
563C22⋊C4—28no—
564C22⋊C4—216no—
565C22⋊C4—416no—
566C22⋊C4—48no—
567C22⋊C4—416no—
568C22⋊C4—48no—
569C22⋊C4—44no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—48no—
576C22⋊C4—416no—
577C22⋊C4—84no—
578C22⋊C4—88no—
579C22⋊C4—84no—
580C22⋊C4—88no—
581C22⋊C4—84no—
582C22⋊C4#123116yes—
583C42—216no—
584C42—416no—
585C42—48no—
586C23—24no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—28no—
594C23—28no—
595C23—28no—
596C23—28no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—28no—
601C23—28no—
602C23—432no—
603C23—416no—
604C23—42no—
605C23—42no—
606C23—44no—
607C23—42no—
608C23—44no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—41no—
626C23—42no—
627C23—42no—
628C23—41no—
629C23—41no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—816no—
639C23—832no—
640C23—816no—
641C23—816no—
642C23—88no—
643C23—88no—
644C23C2×#12314yes—
645C23C2×#12714yes—
646C23#53614yes—
647C23#54718yes—
648C23#54718yes—
649C23C23×D411yescharacteristic
650C23C23×D411yescharacteristic
651C23C23×D411yescharacteristic
652C23C22×#4112yes—
653C23C2×H(5,𝔽2)14yes—
654C23C2×2−1+412yes—
655C23C2×2−1+412yes—
656C23#58512yes—
657D4—816no—
658D4—88no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—28no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—232no—
675C2×C4—28no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—28no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—28no—
685C2×C4—432no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—41no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—41no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—41no—
713C2×C4—42no—
714C2×C4—41no—
715C2×C4—42no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—816no—
731C2×C4—88no—
732C2×C4C2×#12318yes—
733C2×C4C2×#12714yes—
734C2×C4C2×#12714yes—
735C2×C4#53518yes—
736C22—28no—
737C22—24no—
738C22—28no—
739C22—28no—
740C22—216no—
741C22—24no—
742C22—28no—
743C22—48no—
744C22—44no—
745C22—44no—
746C22—48no—
747C22—44no—
748C22—832no—
749C22—82no—
750C22—84no—
751C22—82no—
752C22—84no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—81no—
757C22—82no—
758C22—82no—
759C22—81no—
760C22—84no—
761C22—81no—
762C22—82no—
763C22#250118yes—
764C22C22×#12311yescharacteristic
765C22C22×#12711yescharacteristic
766C22C2×#53512yes—
767C22C2×#53611yescharacteristic
768C22C2×#54712yes—
769C22C2×#54712yes—
770C22#348511yescharacteristic
771C22#348611yescharacteristic
772C22#348912yes—
773C22#348912yes—
774C22#349812yes—
775C22#349812yes—
776C22#351314yes—
777C22#352014yes—
778C22#353514yes—
779C22#353814yes—
780C4—28no—
781C4—28no—
782C4—24no—
783C4—24no—
784C4—44no—
785C4—44no—
786C4—48no—
787C4—82no—
788C4—81no—
789C4—81no—
790C4—82no—
791C4—81no—
792C4—82no—
793C4—84no—
794C2—28no—
795C2—84no—
796C2—161no—
797C2C2×#250111yescharacteristic
798C2#3527411yescharacteristic
799C2#3563411yescharacteristic
800C2#3598712yes—
801C2#3803912yes—
802C2#3891712yes—
803C2#4195312yes—
804C2#4397614yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
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×#2498C2semidirect
2. C2×#2482C2semidirect
4. C2×#2623C2semidirect
5. C22×#399C2semidirect
6. C2×#2317C2semidirect
7. #17064C2semidirect
8. #16692C2semidirect
9. #15765C2semidirect
10. #15696C2semidirect
11. #15155C2semidirect
12. #15020C2semidirect
13. #14777C2semidirect
14. #14734C2semidirect
16. #13880C2semidirect
17. #13799C2semidirect
30. C2×#400C22semidirect
31. C2×#400C22semidirect
38. C2×#399C22semidirect
39. C2×#399C22semidirect
40. C2×#399C22semidirect
41. C2×#398C22semidirect
42. C2×#398C22semidirect
44. C2×#397C22semidirect
45. C2×#397C22semidirect
51. C2×#389C22semidirect
54. C2×#388C22semidirect
55. C2×#387C22semidirect
64. C2×#384C22semidirect
65. C2×#384C22semidirect
66. C2×#382C22semidirect
73. #1445C22semidirect
74. #1444C22semidirect
75. #1444C22semidirect
76. #1444C22semidirect
81. #1439C22semidirect
84. #1436C22semidirect
85. C4⋊#95C22semidirect
86. #1434C22semidirect
88. C4×#95C22semidirect
190. #381D4semidirect
195. C2×#95D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24982
C2×#24822
C2×#24112
C2×#26232
C22×#3992
C2×#23172
#170642
#166922
#157652
#156962
#151552
#150202
#147772
#147342
#139952
#138802
#137992