Finite Group Databasebeta

← #919768

Subgroups — #919768

Order 512.

3852 conjugacy classes of subgroups.

The subgroup lattice has 815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2408C211yesmaximal, characteristic
2C2×#2395C211yesmaximal, characteristic, complemented
3#17141C212yesmaximal, complemented
4#17140C212yesmaximal, complemented
5#16535C214yesmaximal, complemented
6#16255C214yesmaximal, complemented
7#15480C212yesmaximal, complemented
8#15284C212yesmaximal, complemented
9#15222C212yesmaximal, complemented
10#15132C212yesmaximal, complemented
11#15126C212yesmaximal, complemented
12#14257C212yesmaximal, complemented
13#14022C212yesmaximal, complemented
14#13905C211yesmaximal, characteristic, complemented
15#13902C212yesmaximal, complemented
16C24×D4C2211yescharacteristic
17C22×#121C2212yes—
18C22×#120C2212yes—
19C22×C4×D4C2211yescharacteristic
20C22×#117C2211yescharacteristic, complemented
21#2408—28no—
22#2395—28no—
23C2×#400C2211yescharacteristic, complemented
24C2×#399C2211yescharacteristic
25C2×#398C2211yescharacteristic, complemented
26C2×#397C2211yescharacteristic
27C2×#397C2214yes—
28C2×#397C2212yescomplemented
29C2×#394C2212yes—
30C2×#394C2212yes—
31C2×#394C2214yescomplemented
32C2×#392C2212yes—
33C2×#390C2212yes—
34C2×#390C2212yes—
35C2×#390C2212yes—
36C2×#390C2212yes—
37C2×#390C2212yes—
38C2×#389C2212yescomplemented
39C2×#388C2214yescomplemented
40C2×#382C2211yescharacteristic, complemented
41C2×#380C2211yescharacteristic
42C2×#380C2212yes—
43C2×#380C2212yescomplemented
44C2×#379C2212yes—
45C2×#379C2214yes—
46C2×#379C2214yes—
47C2×C4×C4⋊C4C2212yescomplemented
48C2×C4×C4⋊C4C2211yescharacteristic, complemented
49C2×C4×C22⋊C4C2212yes—
50C2×C4×C22⋊C4C2211yescharacteristic, complemented
51#1445C2212yescomplemented
52#1443C2214yescomplemented
53#1442C2214yescomplemented
54#1440C2214yes—
55#1440C2214yescomplemented
56#1440C2214yescomplemented
57#1439C2214yescomplemented
58#1439C2214yescomplemented
59#1439C2214yescomplemented
60#1439C2214yescomplemented
61#1439C2214yescomplemented
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1438C2214yes—
66#1438C2214yes—
67#1438C2212yes—
68#1438C2214yescomplemented
69#1438C2214yescomplemented
70#1438C2214yescomplemented
71#1437C2212yes—
72#1437C2212yescomplemented
73#1437C2214yescomplemented
74C4⋊#95C2212yescomplemented
75C4⋊#95C2212yescomplemented
76C4⋊#95C2212yescomplemented
77C26C2312yes—
78C23×D4—28no—
79C23×D4—24no—
80C23×D4—42no—
81C23×D4—42no—
82C23×D4—44no—
83C23×D4C2312yes—
84C23×D4C2312yes—
85C23×D4C2314yes—
86C23×D4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C2×#121—28no—
90C2×#121—28no—
91C2×#121—44no—
92C2×#120—28no—
93C2×#120—48no—
94C2×C4×D4—42no—
95C2×C4×D4—42no—
96C2×C4×D4D418yes—
97C2×#117—24no—
98C2×#117—42no—
99C2×#117—42no—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2314yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C22⋊C4C2312yes—
110C22×C22⋊C4C2312yes—
111C22×C22⋊C4C2312yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2314yes—
114C22×C22⋊C4C2314yes—
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2311yescharacteristic
129C22×C42C2312yes—
130C22×C42C2312yes—
131C22×C42C2311yescharacteristic
132C22×C42C2312yes—
133#400—24no—
134#399—24no—
135#398—24no—
136#397—24no—
137#397—28no—
138#397—48no—
139#394—28no—
140#394—28no—
141#394—48no—
142#392—28no—
143#390—28no—
144#390—28no—
145#390—44no—
146#390—44no—
147#390—44no—
148#389—44no—
149#388—48no—
150#382—42no—
151#380—24no—
152#380—44no—
153#380—44no—
154#379—28no—
155#379—48no—
156#379—48no—
157C4×C4⋊C4—28no—
158C4×C4⋊C4—42no—
159C4×C22⋊C4—28no—
160C4×C22⋊C4—24no—
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2314yes—
164C2×#95C2312yes—
165C2×#95C2311yescharacteristic
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2311yescharacteristic
169C2×#95C2314yes—
170C2×#95C2314yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2312yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C25—24no—
181C25—28no—
182C25—28no—
183C25—44no—
184C25—42no—
185C25—42no—
186C25—44no—
187C25—44no—
188C25—44no—
189C25C2411yescharacteristic
190C25C2414yes—
191C25C2411yescharacteristic
192C22×D4—24no—
193C22×D4—28no—
194C22×D4—28no—
195C22×D4—28no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—432no—
204C22×D4—41no—
205C22×D4—41no—
206C22×D4—44no—
207C22×D4—42no—
208C22×D4—42no—
209C22×D4—42no—
210C22×D4—416no—
211C22×D4—44no—
212C22×D4—44no—
213C22×D4—44no—
214C22×D4—44no—
215C22×D4—44no—
216C22×D4—416no—
217C22×D4—432no—
218C22×D4—416no—
219C22×D4C2×D414yes—
220C22×D4#4118yes—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—24no—
228C23×C4—24no—
229C23×C4C2×D414yes—
230C23×C4C2×D414yes—
231C23×C4C2414yes—
232C23×C4C2412yes—
233C23×C4C2412yes—
234C23×C4C2412yes—
235C23×C4C2414yes—
236C23×C4C2414yes—
237C23×C4C2411yescharacteristic
238C23×C4C2411yescharacteristic
239C23×C4C2411yescharacteristic
240C23×C4C2411yescharacteristic
241C23×C4C2412yes—
242C23×C4C2411yescharacteristic
243#121—432no—
244#120—432no—
245C4×D4—416no—
246#117—416no—
247C2×C4⋊C4—22no—
248C2×C4⋊C4—22no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—42no—
262C2×C4⋊C4—42no—
263C2×C4⋊C4—42no—
264C2×C4⋊C4—41no—
265C2×C4⋊C4—41no—
266C2×C4⋊C4—41no—
267C2×C4⋊C4—41no—
268C2×C4⋊C4—41no—
269C2×C4⋊C4—41no—
270C2×C4⋊C4—44no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4C2×D414yes—
274C2×C22⋊C4—24no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—28no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—42no—
294C2×C22⋊C4—44no—
295C2×C22⋊C4—42no—
296C2×C22⋊C4—42no—
297C2×C22⋊C4—42no—
298C2×C22⋊C4—41no—
299C2×C22⋊C4—41no—
300C2×C22⋊C4—41no—
301C2×C22⋊C4—41no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—44no—
331C2×C22⋊C4C2×D414yes—
332C2×C22⋊C4C2×D414yes—
333C2×C42—22no—
334C2×C42—22no—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—24no—
340C2×C42—24no—
341C2×C42—42no—
342C2×C42—44no—
343C2×C42C2×D414yes—
344#95—24no—
345#95—22no—
346#95—24no—
347#95—22no—
348#95—24no—
349#95—24no—
350#95—24no—
351#95—28no—
352#95—44no—
353#95—42no—
354#95—44no—
355#95—44no—
356#95—42no—
357#95—42no—
358#95—44no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363C24—22no—
364C24—22no—
365C24—22no—
366C24—21no—
367C24—21no—
368C24—22no—
369C24—22no—
370C24—24no—
371C24—22no—
372C24—24no—
373C24—24no—
374C24—22no—
375C24—24no—
376C24—21no—
377C24—21no—
378C24—24no—
379C24—24no—
380C24—22no—
381C24—24no—
382C24—24no—
383C24—24no—
384C24—24no—
385C24—22no—
386C24—22no—
387C24—24no—
388C24—24no—
389C24—24no—
390C24—22no—
391C24—24no—
392C24—416no—
393C24—48no—
394C24—416no—
395C24—416no—
396C24—48no—
397C24—416no—
398C24—48no—
399C24—48no—
400C24—48no—
401C24—88no—
402C24—88no—
403C24—88no—
404C24—88no—
405C24—88no—
406C24—88no—
407C24—88no—
408C24—88no—
409C24—84no—
410C24—84no—
411C24—88no—
412C24—88no—
413C24C22×D412yes—
414C24C22×D412yes—
415C24C2×#4118yes—
416C24H(5,𝔽2)14yes—
417C24C2511yescharacteristic
418C2×D4—28no—
419C2×D4—216no—
420C2×D4—216no—
421C2×D4—216no—
422C2×D4—44no—
423C2×D4—44no—
424C2×D4—416no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—416no—
430C2×D4—48no—
431C2×D4—4128no—
432C2×D4—416no—
433C2×D4—416no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—88no—
439C2×D4—88no—
440C2×D4—88no—
441C2×D4—88no—
442C2×D4—88no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—216no—
468C22×C4—216no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
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—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4C22×D412yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C2×#4114yes—
523C22×C4H(5,𝔽2)14yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C4H(5,𝔽2)12yes—
526C22×C4H(5,𝔽2)14yes—
527C4⋊C4—44no—
528C4⋊C4—48no—
529C4⋊C4—48no—
530C4⋊C4—44no—
531C4⋊C4—44no—
532C4⋊C4—48no—
533C4⋊C4—48no—
534C4⋊C4—48no—
535C4⋊C4—88no—
536C22⋊C4—44no—
537C22⋊C4—44no—
538C22⋊C4—48no—
539C22⋊C4—48no—
540C22⋊C4—416no—
541C22⋊C4—416no—
542C22⋊C4—416no—
543C22⋊C4—48no—
544C22⋊C4—48no—
545C22⋊C4—48no—
546C22⋊C4—88no—
547C22⋊C4—88no—
548C22⋊C4—88no—
549C22⋊C4—88no—
550C22⋊C4—88no—
551C22⋊C4—88no—
552C22⋊C4—88no—
553C22⋊C4—88no—
554C22⋊C4—88no—
555C22⋊C4—88no—
556C42—28no—
557C42—48no—
558C42—48no—
559C42—84no—
560C23—22no—
561C23—22no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—28no—
574C23—28no—
575C23—24no—
576C23—28no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—28no—
581C23—28no—
582C23—42no—
583C23—41no—
584C23—42no—
585C23—42no—
586C23—41no—
587C23—42no—
588C23—41no—
589C23—41no—
590C23—42no—
591C23—42no—
592C23—432no—
593C23—44no—
594C23—44no—
595C23—44no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—41no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—44no—
605C23—44no—
606C23—42no—
607C23—44no—
608C23—42no—
609C23—44no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—44no—
617C23—44no—
618C23—42no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—42no—
623C23—44no—
624C23—44no—
625C23—41no—
626C23—41no—
627C23—44no—
628C23—42no—
629C23—44no—
630C23—44no—
631C23—42no—
632C23—44no—
633C23—44no—
634C23—42no—
635C23—44no—
636C23—44no—
637C23—832no—
638C23—816no—
639C23—832no—
640C23—832no—
641C23—832no—
642C23—832no—
643C23—816no—
644C23—832no—
645C23#53514yes—
646C23C23×D411yescharacteristic
647C23C22×#4112yes—
648C23C2×H(5,𝔽2)11yescharacteristic
649C23C2×H(5,𝔽2)11yescharacteristic
650C23C2×H(5,𝔽2)12yes—
651C23C2×H(5,𝔽2)12yes—
652C23C2×H(5,𝔽2)12yes—
653C23#58512yes—
654C23#58512yes—
655D4—416no—
656D4—432no—
657D4—432no—
658D4—832no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—416no—
687C2×C4—416no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4#53414yes—
731C2×C4#53818yes—
732C2×C4#54618yes—
733C2×C4#55114yes—
734C2×C4#56014yes—
735C22—24no—
736C22—28no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—42no—
741C22—42no—
742C22—44no—
743C22—44no—
744C22—48no—
745C22—48no—
746C22—48no—
747C22—42no—
748C22—48no—
749C22—44no—
750C22—48no—
751C22—42no—
752C22—48no—
753C22—42no—
754C22—44no—
755C22—48no—
756C22—864no—
757C22—82no—
758C22—82no—
759C22—84no—
760C22—84no—
761C22—82no—
762C22—84no—
763C22—84no—
764C22—84no—
765C22—82no—
766C22—84no—
767C22—84no—
768C22—84no—
769C22C2×#53411yescharacteristic
770C22C2×#53511yescharacteristic
771C22#344911yescharacteristic
772C22C2×#53812yes—
773C22C2×#54612yes—
774C22C2×#55111yescharacteristic
775C22#348812yes—
776C22#351312yes—
777C22#351312yes—
778C22#351912yes—
779C22#352112yes—
780C22C2×#56011yescharacteristic
781C22#354212yes—
782C22#354212yes—
783C22#354312yes—
784C22#354612yes—
785C22#354911yescharacteristic
786C22#355111yescharacteristic
787C22#355812yes—
788C22#355812yes—
789C22#356212yes—
790C4—42no—
791C4—42no—
792C4—42no—
793C4—42no—
794C4—44no—
795C4—84no—
796C4—82no—
797C4—82no—
798C4—84no—
799C4—82no—
800C4—84no—
801C4#269718yes—
802C2—44no—
803C2—82no—
804C2—88no—
805C2#3727311yescharacteristic
806C2#3743711yescharacteristic
807C2#3802612yes—
808C2#3890212yes—
809C2#4253212yes—
810C2#4256312yes—
811C2#4506112yes—
812C2C2×#269711yescharacteristic
813C2#5297712yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2408C2
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×#2395C2semidirect
3. #17141C2semidirect
4. #17140C2semidirect
5. #16535C2semidirect
6. #16255C2semidirect
7. #15480C2semidirect
8. #15284C2semidirect
9. #15222C2semidirect
10. #15132C2semidirect
11. #15126C2semidirect
12. #14257C2semidirect
13. #14022C2semidirect
14. #13905C2semidirect
15. #13902C2semidirect
20. C22×#117C22semidirect
23. C2×#400C22semidirect
25. C2×#398C22semidirect
28. C2×#397C22semidirect
31. C2×#394C22semidirect
38. C2×#389C22semidirect
39. C2×#388C22semidirect
40. C2×#382C22semidirect
43. C2×#380C22semidirect
47. C2×C4×C4⋊C4C22semidirect
48. C2×C4×C4⋊C4C22semidirect
50. C2×C4×C22⋊C4C22semidirect
51. #1445C22semidirect
52. #1443C22semidirect
53. #1442C22semidirect
55. #1440C22semidirect
56. #1440C22semidirect
57. #1439C22semidirect
58. #1439C22semidirect
59. #1439C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
68. #1438C22semidirect
69. #1438C22semidirect
70. #1438C22semidirect
72. #1437C22semidirect
73. #1437C22semidirect
74. C4⋊#95C22semidirect
75. C4⋊#95C22semidirect
76. C4⋊#95C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24082
C2×#23952
#171412
#171402
#165352
#162552
#154802
#152842
#152222
#151322
#151262
#142572
#140222
#139052
#139022