Finite Group Databasebeta

← #769886

Subgroups — #769886

Order 512.

4354 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2539C211yesmaximal, characteristic
2C2×#2534C212yesmaximal, complemented
3C2×#2501C211yesmaximal, characteristic, complemented
4C2×#2486C212yesmaximal, complemented
5C22×#399C211yesmaximal, characteristic, complemented
6C2×#2325C211yesmaximal, characteristic, complemented
7#15765C214yesmaximal, complemented
8#15696C214yesmaximal, complemented
9#15505C214yesmaximal, complemented
10#15493C214yesmaximal, complemented
11#15069C212yesmaximal, complemented
12#14911C212yesmaximal, complemented
13#13904C211yesmaximal, characteristic, complemented
14#13903C211yesmaximal, characteristic, complemented
15#13778C211yesmaximal, characteristic, complemented
16C22×#123C2212yes—
17C22×#123C2212yes—
18C22×#123C2212yes—
19C22×#121C2211yescharacteristic
20C22×#120C2212yes—
21C22×C4×D4C2212yes—
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2211yescharacteristic
27C23×C22⋊C4C2211yescharacteristic
28#2539—28no—
29#2534—216no—
30#2501—28no—
31#2486—216no—
32C2×#399—28no—
33C2×#399C2212yes—
34C2×#399C2214yes—
35C2×#399C2214yes—
36C2×#399C2214yescomplemented
37C2×#398C2214yescomplemented
38C2×#397C2214yescomplemented
39C2×#396C2214yes—
40C2×#394C2214yes—
41C2×#392C2212yes—
42#2325—28no—
43C2×#390C2214yes—
44C2×#390C2212yescomplemented
45C2×#389C2214yescomplemented
46C2×#388C2214yes—
47C2×#388C2212yescomplemented
48C2×#387C2212yescomplemented
49C2×#386C2214yes—
50C2×#386C2212yes—
51C2×#386C2212yescomplemented
52C2×#385C2212yescomplemented
53C2×#384C2212yescomplemented
54C2×#381C2212yes—
55C2×#381C2212yes—
56C2×#381C2212yes—
57C2×#380C2211yescharacteristic
58C2×#380C2212yes—
59C2×#380C2214yescomplemented
60C2×#379C2212yes—
61C2×C4×C22⋊C4C2211yescharacteristic
62C2×C4×C22⋊C4C2211yescharacteristic
63C22×#95C2211yescharacteristic
64#1445C2214yescomplemented
65#1444C2214yescomplemented
66#1444C2214yescomplemented
67#1439C2214yes—
68#1439C2214yes—
69#1439C2212yes—
70#1439C2212yes—
71#1439C2214yescomplemented
72#1439C2214yescomplemented
73#1438C2214yes—
74#1438C2214yes—
75#1437C2214yes—
76#1436C2214yescomplemented
77#1436C2214yescomplemented
78C4⋊#95C2212yescomplemented
79C4⋊#95C2212yescomplemented
80C22⋊#95C2212yes—
81C26C2311yescharacteristic
82C23×D4C2312yes—
83C23×D4C2314yes—
84C23×D4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2312yes—
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C2×#123—28no—
93C2×#123—28no—
94C2×#123—28no—
95C2×#123—28no—
96C2×#123—28no—
97C2×#123—28no—
98C2×#123—44no—
99C2×#123—44no—
100C2×#123—44no—
101C2×#121—24no—
102C2×#121—24no—
103C2×#121D418yes—
104C2×#120—28no—
105C2×#120—28no—
106C2×#120—44no—
107C2×C4×D4—28no—
108C2×C4×D4—28no—
109C2×C4×D4—28no—
110C22×C4⋊C4—24no—
111C22×C4⋊C4—24no—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—28no—
114C22×C4⋊C4—24no—
115C22×C4⋊C4—24no—
116C22×C4⋊C4—44no—
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2314yes—
129C22×C22⋊C4—24no—
130C22×C22⋊C4—24no—
131C22×C22⋊C4—24no—
132C22×C22⋊C4—28no—
133C22×C22⋊C4—24no—
134C22×C22⋊C4—24no—
135C22×C22⋊C4—44no—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2314yes—
142C22×C22⋊C4C2314yes—
143C22×C22⋊C4C2314yes—
144C22×C22⋊C4C2314yes—
145C22×C22⋊C4C2314yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2314yes—
150C22×C22⋊C4C2314yes—
151C22×C22⋊C4C2312yes—
152C22×C22⋊C4C2312yes—
153C22×C42C2312yes—
154C22×C42C2312yes—
155C22×C42C2312yes—
156#399—28no—
157#399—216no—
158#399—216no—
159#399—216no—
160#398—216no—
161#397—216no—
162#396—216no—
163#394—216no—
164#392—28no—
165#390—28no—
166#390—216no—
167#389—216no—
168#388—28no—
169#388—216no—
170#387—28no—
171#386—28no—
172#386—28no—
173#386—216no—
174#385—28no—
175#384—28no—
176#381—28no—
177#381—28no—
178#381—28no—
179#380—24no—
180#380—216no—
181#380D4116yescomplemented
182#379—28no—
183C4×C22⋊C4—24no—
184C4×C22⋊C4—24no—
185C2×#95D418yescomplemented
186C2×#95C2312yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2312yes—
194C2×#95C2312yes—
195C2×#95C2312yes—
196C2×#95C2312yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2312yes—
201C2×#95C2312yes—
202C25—22no—
203C25—24no—
204C25—22no—
205C25—24no—
206C25—22no—
207C25—24no—
208C25—42no—
209C25—42no—
210C25—42no—
211C25C2412yes—
212C25C2412yes—
213C25C2411yescharacteristic
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—24no—
220C22×D4—28no—
221C22×D4—28no—
222C22×D4—22no—
223C22×D4—28no—
224C22×D4—22no—
225C22×D4—44no—
226C22×D4—42no—
227C22×D4—42no—
228C22×D4—44no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4C2×D418yes—
232C22×D4C2×D414yes—
233C23×C4—24no—
234C23×C4—22no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—24no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—24no—
242C23×C4—24no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—44no—
259C23×C4—44no—
260C23×C4C2×D414yes—
261C23×C4C2×D414yes—
262C23×C4C2×D414yes—
263C23×C4C2×D414yes—
264C23×C4C2×D418yes—
265C23×C4#4114yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2414yes—
272C23×C4C2412yes—
273C23×C4C2412yes—
274C23×C4C2414yes—
275C23×C4C2412yes—
276C23×C4C2411yescharacteristic
277C23×C4C2411yescharacteristic
278#123—432no—
279#123—432no—
280#123—432no—
281#121—232no—
282#120—432no—
283C4×D4—432no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—24no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—28no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—28no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—28no—
300C2×C4⋊C4—28no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—28no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—48no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—44no—
310C2×C4⋊C4—44no—
311C2×C4⋊C4—44no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—416no—
314C2×C4⋊C4—416no—
315C2×C4⋊C4—416no—
316C2×C4⋊C4—42no—
317C2×C4⋊C4—42no—
318C2×C4⋊C4C2×D414yes—
319C2×C4⋊C4C2×D4116yes—
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—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—28no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—28no—
333C2×C22⋊C4—28no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—28no—
345C2×C22⋊C4—28no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—28no—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—48no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—416no—
362C2×C22⋊C4—416no—
363C2×C22⋊C4—416no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4C2×D418yes—
369C2×C22⋊C4C2×D418yes—
370C2×C22⋊C4C2×D418yes—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—42no—
377C2×C42—42no—
378C2×C42—42no—
379C2×C42—42no—
380#95—24no—
381#95—24no—
382#95—28no—
383#95—28no—
384#95—24no—
385#95—28no—
386#95—28no—
387#95—28no—
388#95—28no—
389#95—24no—
390#95—24no—
391#95—44no—
392#95—44no—
393#95C2×D418yes—
394#95C2×D418yes—
395#95C2×D4116yes—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—28no—
401C24—22no—
402C24—22no—
403C24—24no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—24no—
411C24—22no—
412C24—24no—
413C24—22no—
414C24—22no—
415C24—24no—
416C24—24no—
417C24—24no—
418C24—24no—
419C24—24no—
420C24—22no—
421C24—416no—
422C24—48no—
423C24—48no—
424C24—416no—
425C24—44no—
426C24—44no—
427C24—44no—
428C24—44no—
429C24—44no—
430C24—44no—
431C24—48no—
432C24—48no—
433C24—88no—
434C24—84no—
435C24—84no—
436C24—88no—
437C24C22×D414yes—
438C24C22×D412yes—
439C24C22×D412yes—
440C24C22×D414yes—
441C24C2×#4112yes—
442C24H(5,𝔽2)14yes—
443C242−1+414yes—
444C24C2511yescharacteristic
445C2×D4—216no—
446C2×D4—216no—
447C2×D4—216no—
448C2×D4—28no—
449C2×D4—48no—
450C2×D4—416no—
451C2×D4—416no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—416no—
457C2×D4—82no—
458C2×D4—82no—
459C2×D4—84no—
460C2×D4—88no—
461C2×D4—88no—
462C2×D4—88no—
463C2×D4—88no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—28no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—48no—
518C22×C4—416no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—48no—
526C22×C4—416no—
527C22×C4—416no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—48no—
538C22×C4—48no—
539C22×C4—48no—
540C22×C4—48no—
541C22×C4—48no—
542C22×C4—48no—
543C22×C4—48no—
544C22×C4—84no—
545C22×C4—88no—
546C22×C4—84no—
547C22×C4#121116yes—
548C22×C4#127116yes—
549C22×C4C22×D418yes—
550C22×C4C22×D414yes—
551C22×C4C22×D418yes—
552C22×C4C22×D414yes—
553C22×C4C22×D412yes—
554C22×C4C22×D412yes—
555C22×C4C22×D412yes—
556C22×C4C22×D412yes—
557C22×C4C22×D414yes—
558C22×C4C22×D414yes—
559C22×C4C22×D414yes—
560C22×C4C2×#4112yes—
561C22×C4C2×#4112yes—
562C4⋊C4—28no—
563C4⋊C4—416no—
564C4⋊C4—416no—
565C4⋊C4—416no—
566C4⋊C4—416no—
567C4⋊C4—416no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—416no—
571C4⋊C4—48no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C22⋊C4—216no—
575C22⋊C4—216no—
576C22⋊C4—216no—
577C22⋊C4—416no—
578C22⋊C4—416no—
579C22⋊C4—416no—
580C22⋊C4—416no—
581C22⋊C4—416no—
582C22⋊C4—416no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—416no—
587C22⋊C4—48no—
588C22⋊C4—88no—
589C22⋊C4—84no—
590C22⋊C4—84no—
591C42—48no—
592C42—48no—
593C42—84no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—24no—
598C23—28no—
599C23—22no—
600C23—24no—
601C23—28no—
602C23—24no—
603C23—24no—
604C23—28no—
605C23—28no—
606C23—24no—
607C23—24no—
608C23—24no—
609C23—28no—
610C23—24no—
611C23—28no—
612C23—24no—
613C23—28no—
614C23—24no—
615C23—28no—
616C23—416no—
617C23—416no—
618C23—416no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—44no—
625C23—42no—
626C23—42no—
627C23—44no—
628C23—42no—
629C23—42no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—42no—
634C23—44no—
635C23—44no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—44no—
641C23—44no—
642C23—42no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23—42no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—44no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23—832no—
656C23—832no—
657C23—88no—
658C23—88no—
659C23—88no—
660C23—88no—
661C23C2×#12114yes—
662C23C2×#12714yes—
663C23#53514yes—
664C23D4218yes—
665C23#55018yes—
666C23C23×D411yescharacteristic
667C23C23×D411yescharacteristic
668C23C23×D412yes—
669C23C22×#4111yescharacteristic
670C23C2×H(5,𝔽2)12yes—
671C23C2×2−1+412yes—
672C23#58512yes—
673C23#58512yes—
674C23#58512yes—
675D4—432no—
676D4—88no—
677D4—832no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—28no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—28no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—28no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—416no—
703C2×C4—416no—
704C2×C4—416no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—48no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—42no—
738C2×C4—42no—
739C2×C4—44no—
740C2×C4—42no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—816no—
744C2×C4—88no—
745C2×C4—88no—
746C2×C4—88no—
747C2×C4C2×#12114yes—
748C2×C4C2×#12114yes—
749C2×C4C2×#12718yes—
750C22—216no—
751C22—216no—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—24no—
756C22—24no—
757C22—24no—
758C22—48no—
759C22—48no—
760C22—48no—
761C22—48no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—44no—
766C22—44no—
767C22—44no—
768C22—832no—
769C22—84no—
770C22—84no—
771C22—84no—
772C22—84no—
773C22—82no—
774C22—82no—
775C22—82no—
776C22—82no—
777C22—82no—
778C22—82no—
779C22—82no—
780C22—82no—
781C22#254118yes—
782C22C22×#12111yescharacteristic
783C22C22×#12711yescharacteristic
784C22C2×#53511yescharacteristic
785C22C2×D4212yes—
786C22C2×#55012yes—
787C22#348512yes—
788C22#348514yes—
789C22#348511yescharacteristic
790C22#348511yescharacteristic
791C22#348511yescharacteristic
792C22#348611yescharacteristic
793C22#348912yes—
794C22#348914yes—
795C22#349112yes—
796C22#349512yes—
797C22#353314yes—
798C22#353514yes—
799C4—24no—
800C4—24no—
801C4—28no—
802C4—48no—
803C4—48no—
804C4—44no—
805C4—44no—
806C4—82no—
807C4—82no—
808C4—82no—
809C4—82no—
810C4—82no—
811C2—28no—
812C2—84no—
813C2—84no—
814C2C2×#254111yescharacteristic
815C2#3544711yescharacteristic
816C2#3546311yescharacteristic
817C2#3563311yescharacteristic
818C2#3563411yescharacteristic
819C2#3695611yescharacteristic
820C2#3711811yescharacteristic
821C2#4352714yes—
822C2#4352814yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2539C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2534C2semidirect
3. C2×#2501C2semidirect
4. C2×#2486C2semidirect
5. C22×#399C2semidirect
6. C2×#2325C2semidirect
7. #15765C2semidirect
8. #15696C2semidirect
9. #15505C2semidirect
10. #15493C2semidirect
11. #15069C2semidirect
12. #14911C2semidirect
13. #13904C2semidirect
14. #13903C2semidirect
15. #13778C2semidirect
36. C2×#399C22semidirect
37. C2×#398C22semidirect
38. C2×#397C22semidirect
44. C2×#390C22semidirect
45. C2×#389C22semidirect
47. C2×#388C22semidirect
48. C2×#387C22semidirect
51. C2×#386C22semidirect
52. C2×#385C22semidirect
53. C2×#384C22semidirect
59. C2×#380C22semidirect
64. #1445C22semidirect
65. #1444C22semidirect
66. #1444C22semidirect
71. #1439C22semidirect
72. #1439C22semidirect
76. #1436C22semidirect
77. #1436C22semidirect
78. C4⋊#95C22semidirect
79. C4⋊#95C22semidirect
181. #380D4semidirect
185. C2×#95D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25392
C2×#25342
C2×#25012
C2×#24862
C22×#3992
C2×#23252
#157652
#156962
#155052
#154932
#150692
#149112
#139042
#139032
#137782