Finite Group Databasebeta

← #657327

Subgroups — #657327

Order 512.

3742 conjugacy classes of subgroups.

The subgroup lattice has 818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2442C211yesmaximal, characteristic, complemented
2C22×#380C211yesmaximal, characteristic
3#15797C214yesmaximal, complemented
4#15541C214yesmaximal, complemented
5#15216C212yesmaximal, complemented
6#15132C212yesmaximal, complemented
7#15026C212yesmaximal, complemented
8#14820C212yesmaximal
9#14680C211yesmaximal, characteristic
10#13994C212yesmaximal, complemented
11#13971C212yesmaximal
12#13966C212yesmaximal, complemented
13#13924C211yesmaximal, characteristic, complemented
14#13924C211yesmaximal, characteristic, complemented
15#13875C212yesmaximal, complemented
16C22⋊C4×C4⋊C4C211yesmaximal, characteristic, complemented
17C4×#379C211yesmaximal, characteristic
18C25×C4C2211yescharacteristic
19C22×#125C2211yescharacteristic, complemented
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C22⋊C4C2212yes—
23#2442—28no—
24C2×#400C2212yescomplemented
25C2×#398C2212yescomplemented
26C2×#397C2214yes—
27C2×#389C2211yescharacteristic, complemented
28C2×#389C2211yescharacteristic, complemented
29C2×#388C2214yes—
30C2×#385C2212yes—
31C2×#382C2211yescharacteristic, complemented
32C2×#380—28no—
33C2×#380C2212yes—
34C2×#380C2212yes—
35C2×#380C2212yes—
36C2×#380C2211yescharacteristic
37C2×#380C2211yescharacteristic
38C2×#380C2212yes—
39C2×#380C2214yes—
40C2×#380C2212yes—
41C2×#379C2212yes—
42C2×#379C2211yescharacteristic
43C2×#379C2211yescharacteristic
44C2×C4×C4⋊C4C2212yescomplemented
45C2×C4×C22⋊C4C2212yes—
46C2×C4×C22⋊C4C2211yescharacteristic
47C2×C4×C22⋊C4C2211yescharacteristic
48C2×C4×C22⋊C4C2212yes—
49C2×C4×C22⋊C4C2212yes—
50C22×#95C2212yes—
51#1445C2212yescomplemented
52#1445C2214yescomplemented
53#1445C2212yescomplemented
54#1443C2214yescomplemented
55#1443C2214yescomplemented
56#1442C2214yescomplemented
57#1442C2214yescomplemented
58#1442C2214yescomplemented
59#1442C2214yescomplemented
60#1440C2214yes—
61#1440C2214yes—
62#1440C2214yes—
63#1439C2214yes—
64#1439C2214yes—
65#1437C2214yes—
66#1436C2214yescomplemented
67C4⋊#95C2212yescomplemented
68C4⋊#95C2212yescomplemented
69C4⋊#95C2212yescomplemented
70C4⋊#95C2212yescomplemented
71C4⋊#95C2212yescomplemented
72#1434C2214yescomplemented
73#1434C2214yescomplemented
74C22⋊#95C2212yes—
75C22⋊#95C2214yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C22⋊#95C2212yes—
80C22⋊#95C2211yescharacteristic
81C22⋊#95C2211yescharacteristic
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C26C2311yescharacteristic
86C24×C4—24no—
87C24×C4—28no—
88C24×C4—24no—
89C24×C4—24no—
90C24×C4—44no—
91C24×C4C2312yes—
92C24×C4C2311yescharacteristic
93C24×C4C2312yes—
94C24×C4C2311yescharacteristic
95C24×C4C2312yes—
96C24×C4C2312yes—
97C2×#125—24no—
98C2×#125—44no—
99C22×C4⋊C4—24no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—44no—
103C22×C4⋊C4D418yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2312yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2312yes—
115C22×C4⋊C4C2312yes—
116C22×C22⋊C4—28no—
117C22×C22⋊C4—48no—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2311yescharacteristic
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2311yescharacteristic
123C22×C22⋊C4C2311yescharacteristic
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2311yescharacteristic
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C42C2311yescharacteristic
133C22×C42C2312yes—
134C22×C42C2311yescharacteristic
135C22×C42C2314yes—
136#400—28no—
137#398—28no—
138#397—48no—
139#389—24no—
140#389—24no—
141#388—48no—
142#385—28no—
143#382—24no—
144#380—28no—
145#380—24no—
146#380—28no—
147#380—24no—
148#380—28no—
149#380—28no—
150#380—216no—
151#380—44no—
152#379—24no—
153#379—28no—
154#379—24no—
155C4×C4⋊C4—44no—
156C4×C22⋊C4—24no—
157C4×C22⋊C4—24no—
158C4×C22⋊C4—28no—
159C4×C22⋊C4—28no—
160C4×C22⋊C4—44no—
161C2×#95—28no—
162C2×#95C2311yescharacteristic
163C2×#95C2312yes—
164C2×#95C2312yes—
165C2×#95C2311yescharacteristic
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C25—22no—
191C25—24no—
192C25—24no—
193C25—22no—
194C25—22no—
195C25—22no—
196C25—22no—
197C25—22no—
198C25—42no—
199C25—42no—
200C25#4114yes—
201C25C2412yes—
202C25C2411yescharacteristic
203C23×C4—24no—
204C23×C4—24no—
205C23×C4—232no—
206C23×C4—22no—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—24no—
210C23×C4—24no—
211C23×C4—24no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—24no—
223C23×C4—24no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—42no—
227C23×C4—42no—
228C23×C4—42no—
229C23×C4—432no—
230C23×C4—432no—
231C23×C4—44no—
232C23×C4—44no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—416no—
236C23×C4—416no—
237C23×C4C2×D414yes—
238C23×C4C2×D418yes—
239C23×C4#4118yes—
240C23×C4#4114yes—
241C23×C4#4114yes—
242C23×C4C2411yescharacteristic
243C23×C4C2412yes—
244C23×C4C2412yes—
245C23×C4C2411yescharacteristic
246C23×C4C2411yescharacteristic
247C23×C4C2414yes—
248C23×C4C2411yescharacteristic
249C23×C4C2412yes—
250C23×C4C2414yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2411yescharacteristic
256C23×C4C2411yescharacteristic
257#125—416no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—416no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—44no—
280C2×C4⋊C4—44no—
281C2×C4⋊C4—416no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4C2×D414yes—
285C2×C4⋊C4C2×D414yes—
286C2×C4⋊C4C2×D418yes—
287C2×C22⋊C4—22no—
288C2×C22⋊C4—22no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—22no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—22no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—22no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—22no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—28no—
307C2×C22⋊C4—28no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—22no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—432no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4#4114yes—
330C2×C42—22no—
331C2×C42—22no—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—24no—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—28no—
338C2×C42—44no—
339C2×C42—44no—
340#95—28no—
341#95—28no—
342#95—22no—
343#95—22no—
344#95—24no—
345#95—24no—
346#95—24no—
347#95—24no—
348#95—24no—
349#95—28no—
350#95—24no—
351#95—24no—
352#95—24no—
353#95—28no—
354#95—24no—
355#95—44no—
356#95—44no—
357#95—44no—
358#95—44no—
359#95—42no—
360#95—42no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365#95—44no—
366#95—44no—
367#95—44no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—28no—
373C24—28no—
374C24—216no—
375C24—28no—
376C24—216no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—28no—
390C24—28no—
391C24—48no—
392C24—48no—
393C24—48no—
394C24—48no—
395C24—48no—
396C24—48no—
397C24—48no—
398C24—48no—
399C24—48no—
400C24—44no—
401C24—44no—
402C24—48no—
403C24—44no—
404C24—44no—
405C24—44no—
406C24—44no—
407C24C22×D412yes—
408C24C2×#4114yes—
409C24C2×#4114yes—
410C24C2×#4112yes—
411C24C2×#4112yes—
412C24C2×#4112yes—
413C24C2×#4112yes—
414C24H(5,𝔽2)14yes—
415C242−1+412yes—
416C242−1+412yes—
417C24C2511yescharacteristic
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—28no—
421C22×C4—28no—
422C22×C4—216no—
423C22×C4—216no—
424C22×C4—216no—
425C22×C4—28no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—24no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—216no—
447C22×C4—216no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—4128no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4—88no—
522C22×C4—88no—
523C22×C4—88no—
524C22×C4—88no—
525C22×C4#124116yes—
526C22×C4C22×D414yes—
527C22×C4C22×D414yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C2×#4114yes—
531C22×C4C2×#4114yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4114yes—
535C22×C4C2×#4112yes—
536C22×C4C2×#4112yes—
537C22×C4H(5,𝔽2)14yes—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—44no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C4⋊C4—44no—
547C4⋊C4—48no—
548C4⋊C4—84no—
549C4⋊C4—84no—
550C22⋊C4—28no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—416no—
554C22⋊C4—416no—
555C22⋊C4—48no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—48no—
560C22⋊C4—44no—
561C22⋊C4—48no—
562C22⋊C4—416no—
563C22⋊C4—88no—
564C42—44no—
565C42—44no—
566C42—48no—
567C42—88no—
568C23—22no—
569C23—22no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—232no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—432no—
604C23—432no—
605C23—416no—
606C23—416no—
607C23—416no—
608C23—416no—
609C23—432no—
610C23—416no—
611C23—432no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—416no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23C2×#12414yes—
630C23#52914yes—
631C23#54114yes—
632C23#54714yes—
633C23#54814yes—
634C23#55214yes—
635C23#55214yes—
636C23#55318yes—
637C23C23×D411yescharacteristic
638C23C22×#4112yes—
639C23C22×#4111yescharacteristic
640C23C22×#4111yescharacteristic
641C23C22×#4111yescharacteristic
642C23C22×#4111yescharacteristic
643C23C2×H(5,𝔽2)12yes—
644C23C2×H(5,𝔽2)12yes—
645C23C2×2−1+411yescharacteristic
646C23C2×2−1+411yescharacteristic
647C23#58512yes—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—232no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—432no—
666C2×C4—416no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—432no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—42no—
707C2×C4—41no—
708C2×C4—42no—
709C2×C4—41no—
710C2×C4—44no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—44no—
731C2×C4—816no—
732C2×C4—816no—
733C2×C4#52514yes—
734C2×C4C2×#12414yes—
735C2×C4C2×#12414yes—
736C2×C4#53414yes—
737C2×C4#55118yes—
738C2×C4#55118yes—
739C22—24no—
740C22—24no—
741C22—24no—
742C22—24no—
743C22—28no—
744C22—28no—
745C22—28no—
746C22—24no—
747C22—28no—
748C22—24no—
749C22—28no—
750C22—28no—
751C22—28no—
752C22—464no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22#248918yes—
766C22C2×#52511yescharacteristic
767C22C22×#12411yescharacteristic
768C22C2×#52911yescharacteristic
769C22C2×#53411yescharacteristic
770C22C2×#54111yescharacteristic
771C22C2×#54711yescharacteristic
772C22C2×#54811yescharacteristic
773C22C2×#55112yes—
774C22C2×#55112yes—
775C22C2×#55211yescharacteristic
776C22C2×#55211yescharacteristic
777C22C2×#55312yes—
778C22#347512yes—
779C22#348411yescharacteristic
780C22#348711yescharacteristic
781C22#349212yes—
782C22#349412yes—
783C22#349412yes—
784C22#349512yes—
785C22#350512yes—
786C22#351912yes—
787C22#353612yes—
788C22#354112yes—
789C4—24no—
790C4—44no—
791C4—44no—
792C4—44no—
793C4—44no—
794C4—84no—
795C4—81no—
796C4—81no—
797C4—82no—
798C4—82no—
799C4—84no—
800C4—81no—
801C4—81no—
802C4—82no—
803C4#256118yes—
804C2—28no—
805C2—48no—
806C2C2×#248911yescharacteristic
807C2C2×#256111yescharacteristic
808C2#3558411yescharacteristic
809C2#3616812yes—
810C2#3642711yescharacteristic
811C2#3658111yescharacteristic
812C2#3785012yes—
813C2#3891611yescharacteristic
814C2#3972311yescharacteristic
815C2#5919712yes—
816C2#5920512yes—
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×#2442C2semidirect
3. #15797C2semidirect
4. #15541C2semidirect
5. #15216C2semidirect
6. #15132C2semidirect
7. #15026C2semidirect
10. #13994C2semidirect
12. #13966C2semidirect
13. #13924C2semidirect
14. #13924C2semidirect
15. #13875C2semidirect
16. C22⋊C4×C4⋊C4C2semidirect
19. C22×#125C22semidirect
24. C2×#400C22semidirect
25. C2×#398C22semidirect
27. C2×#389C22semidirect
28. C2×#389C22semidirect
31. C2×#382C22semidirect
44. C2×C4×C4⋊C4C22semidirect
51. #1445C22semidirect
52. #1445C22semidirect
53. #1445C22semidirect
54. #1443C22semidirect
55. #1443C22semidirect
56. #1442C22semidirect
57. #1442C22semidirect
58. #1442C22semidirect
59. #1442C22semidirect
66. #1436C22semidirect
67. C4⋊#95C22semidirect
68. C4⋊#95C22semidirect
69. C4⋊#95C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
72. #1434C22semidirect
73. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24422
C22×#3802
#157972
#155412
#152162
#151322
#150262
#148202
#146802
#139942
#139712
#139662
#139242
#138752
C22⋊C4×C4⋊C42
C4×#3792