Finite Group Databasebeta

← #620252

Subgroups — #620252

Order 512.

5238 conjugacy classes of subgroups.

The subgroup lattice has 832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#538C211yesmaximal, characteristic
2C2×#2622C212yesmaximal, complemented
3C22×#380C211yesmaximal, characteristic, complemented
4#15911C214yesmaximal, complemented
5#15311C214yesmaximal, complemented
6#15274C214yesmaximal, complemented
7#15269C214yesmaximal, complemented
8#14914C211yesmaximal, characteristic, complemented
9#14913C211yesmaximal, characteristic, complemented
10#14720C211yesmaximal, characteristic, complemented
11#14719C211yesmaximal, characteristic, complemented
12#14694C212yesmaximal, complemented
13#14341C211yesmaximal, characteristic, complemented
14#14016C212yesmaximal, complemented
15#14015C212yesmaximal, complemented
16C25×C4C2211yescharacteristic
17C2×#538—216no—
18C2×#538—28no—
19C22×#126C2212yes—
20C22×#124C2212yes—
21C22×#123C2212yes—
22C22×C22⋊Q8C2211yescharacteristic
23C22×#121C2211yescharacteristic
24C22×#121C2212yes—
25C22×#120C2212yes—
26C22×C4×D4C2212yes—
27C23×C4⋊C4C2211yescharacteristic
28C23×C4⋊C4C2211yescharacteristic
29C23×C22⋊C4C2211yescharacteristic
30C23×C22⋊C4C2211yescharacteristic
31#2622—216no—
32C2×#397C2214yes—
33C2×#397C2214yes—
34C2×#395C2212yescomplemented
35C2×#394C2214yes—
36C2×#394C2214yes—
37C2×#394C2212yescomplemented
38C2×#386C2212yes—
39C2×#386C2212yes—
40C2×#386C2212yes—
41C2×#386C2212yes—
42C2×#386C2214yes—
43C2×#386C2214yes—
44C2×#385C2212yes—
45C2×#385C2212yes—
46C2×#385C2214yescomplemented
47C2×#380—28no—
48C2×#380C2214yes—
49C2×#380C2214yes—
50C2×#379C2212yes—
51C22×#95C2211yescharacteristic
52C22×#95C2211yescharacteristic
53#1446C2212yescomplemented
54#1444C2214yescomplemented
55#1444C2214yescomplemented
56#1444C2212yescomplemented
57#1442C2212yescomplemented
58#1442C2214yescomplemented
59#1441C2212yescomplemented
60#1441C2214yescomplemented
61#1441C2212yescomplemented
62#1440C2214yes—
63#1440C2214yes—
64#1440C2214yescomplemented
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1438C2212yescomplemented
69#1436C2214yescomplemented
70#1436C2214yescomplemented
71C22⋊#95C2211yescharacteristic
72C22⋊#95C2211yescharacteristic
73C22⋊#95C2212yes—
74C22⋊#95C2214yes—
75C22⋊#95C2214yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yescomplemented
79C26C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4C2312yes—
82C23×D4C2311yescharacteristic
83C23×D4C2312yes—
84C23×D4C2312yes—
85C24×C4—24no—
86C24×C4—24no—
87C24×C4—24no—
88C24×C4—44no—
89C24×C4—44no—
90C24×C4C2311yescharacteristic
91C24×C4C2314yes—
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2312yes—
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98#538—2128no—
99C2×#126—28no—
100C2×#126—28no—
101C2×#126—28no—
102C2×#124—28no—
103C2×#124—28no—
104C2×#124—28no—
105C2×#123—28no—
106C2×#123—28no—
107C2×#123—28no—
108C2×C22⋊Q8—24no—
109C2×C22⋊Q8—28no—
110C2×#121—28no—
111C2×#121—28no—
112C2×#121—28no—
113C2×#121—24no—
114C2×#121—28no—
115C2×#120—28no—
116C2×#120—28no—
117C2×#120D4116yes—
118C2×C4×D4—28no—
119C2×C4×D4—28no—
120C2×C4×D4—28no—
121C22×C4⋊C4—24no—
122C22×C4⋊C4—24no—
123C22×C4⋊C4—44no—
124C22×C4⋊C4—44no—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2312yes—
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2314yes—
132C22×C4⋊C4C2314yes—
133C22×C4⋊C4C2314yes—
134C22×C22⋊C4—28no—
135C22×C22⋊C4—28no—
136C22×C22⋊C4—24no—
137C22×C22⋊C4D418yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C22⋊C4C2312yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2314yes—
150C22×C22⋊C4C2314yes—
151C22×C22⋊C4C2314yes—
152C22×C22⋊C4C2314yes—
153C22×C22⋊C4C2314yes—
154C22×C42C2312yes—
155#397—216no—
156#397—216no—
157#395—44no—
158#394—216no—
159#394—216no—
160#394—44no—
161#386—28no—
162#386—28no—
163#386—28no—
164#386—28no—
165#386—48no—
166#386—48no—
167#385—28no—
168#385—28no—
169#385—48no—
170#380—216no—
171#380—216no—
172#379—28no—
173C2×#95—24no—
174C2×#95—24no—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C25—22no—
195C25—22no—
196C25—24no—
197C25—42no—
198C25—42no—
199C25—42no—
200C25—42no—
201C25C2×D418yes—
202C25C2×D414yes—
203C25C2412yes—
204C25C2412yes—
205C25C2411yescharacteristic
206C22×Q8—22no—
207C22×Q8—24no—
208C22×Q8—42no—
209C22×Q8—42no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—24no—
220C22×D4—24no—
221C22×D4—22no—
222C22×D4—44no—
223C22×D4—44no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—42no—
227C22×D4—42no—
228C22×D4C2×D418yes—
229C22×D4C2×D418yes—
230C22×D4C2×D418yes—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—232no—
236C23×C4—22no—
237C23×C4—28no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—28no—
243C23×C4—28no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—28no—
251C23×C4—28no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4—416no—
267C23×C4—416no—
268C23×C4—432no—
269C23×C4—432no—
270C23×C4C2×D414yes—
271C23×C4C2×D414yes—
272C23×C4#4114yes—
273C23×C4#4114yes—
274C23×C4C2414yes—
275C23×C4C2414yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2411yescharacteristic
279C23×C4C2412yes—
280C23×C4C2412yes—
281C23×C4C2412yes—
282C23×C4C2412yes—
283C23×C4C2411yescharacteristic
284C23×C4C2412yes—
285C23×C4C2412yes—
286#126—264no—
287#124—264no—
288#123—264no—
289C22⋊Q8—232no—
290#121—264no—
291#121—232no—
292#120—264no—
293C4×D4—264no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—24no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—24no—
307C2×C4⋊C4—28no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—44no—
313C2×C4⋊C4—42no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—416no—
316C2×C4⋊C4—416no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—44no—
321C2×C22⋊C4—232no—
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—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—28no—
340C2×C22⋊C4—28no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—28no—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—28no—
354C2×C22⋊C4—28no—
355C2×C22⋊C4—416no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4C2×D418yes—
367C2×C22⋊C4C2×D418yes—
368C2×C22⋊C4C2×D418yes—
369C2×C22⋊C4C2×D418yes—
370C2×C22⋊C4C2×D418yes—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—24no—
374#95—28no—
375#95—24no—
376#95—24no—
377#95—28no—
378#95—28no—
379#95—28no—
380#95—28no—
381#95—28no—
382#95—28no—
383#95—28no—
384#95—28no—
385#95—44no—
386#95—42no—
387#95—42no—
388#95—44no—
389#95—44no—
390#95—44no—
391#95—42no—
392#95—42no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—28no—
398C24—28no—
399C24—216no—
400C24—216no—
401C24—22no—
402C24—22no—
403C24—24no—
404C24—24no—
405C24—22no—
406C24—22no—
407C24—24no—
408C24—24no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—24no—
414C24—24no—
415C24—22no—
416C24—22no—
417C24—24no—
418C24—24no—
419C24—44no—
420C24—44no—
421C24—44no—
422C24—44no—
423C24—416no—
424C24—416no—
425C24—48no—
426C24—48no—
427C24—48no—
428C24—48no—
429C24—416no—
430C24—416no—
431C24#120116yes—
432C24C22×D414yes—
433C24C22×D414yes—
434C24C22×D414yes—
435C24C22×D414yes—
436C24C22×D412yes—
437C24C22×D414yes—
438C24C2×#4112yes—
439C24C2×#4112yes—
440C242−1+414yes—
441C24C2511yescharacteristic
442C2×Q8—28no—
443C2×Q8—82no—
444C2×Q8—82no—
445C2×Q8—88no—
446C2×D4—216no—
447C2×D4—216no—
448C2×D4—216no—
449C2×D4—28no—
450C2×D4—216no—
451C2×D4—216no—
452C2×D4—416no—
453C2×D4—416no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—48no—
457C2×D4—48no—
458C2×D4—82no—
459C2×D4—82no—
460C2×D4—84no—
461C2×D4—84no—
462C2×D4—84no—
463C2×D4—84no—
464C2×D4—88no—
465C2×D4—88no—
466C2×D4—88no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—216no—
470C22×C4—28no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—216no—
476C22×C4—232no—
477C22×C4—28no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—216no—
507C22×C4—28no—
508C22×C4—28no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—24no—
520C22×C4—24no—
521C22×C4—22no—
522C22×C4—24no—
523C22×C4—22no—
524C22×C4—24no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—22no—
531C22×C4—24no—
532C22×C4—22no—
533C22×C4—48no—
534C22×C4—416no—
535C22×C4—416no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—416no—
541C22×C4—416no—
542C22×C4—4128no—
543C22×C4—416no—
544C22×C4—48no—
545C22×C4—44no—
546C22×C4—44no—
547C22×C4—416no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—44no—
552C22×C4—44no—
553C22×C4—44no—
554C22×C4—84no—
555C22×C4—84no—
556C22×C4—88no—
557C22×C4—88no—
558C22×C4—88no—
559C22×C4—88no—
560C22×C4—88no—
561C22×C4—88no—
562C22×C4C22×D414yes—
563C22×C4C22×D414yes—
564C22×C4C22×D414yes—
565C22×C4C22×D412yes—
566C22×C4C22×D414yes—
567C22×C4C22×D412yes—
568C22×C4C2×#4114yes—
569C22×C4C2×#4114yes—
570C22×C4H(5,𝔽2)14yes—
571C22×C4H(5,𝔽2)14yes—
572C4⋊C4—216no—
573C4⋊C4—216no—
574C4⋊C4—28no—
575C4⋊C4—28no—
576C4⋊C4—416no—
577C4⋊C4—48no—
578C4⋊C4—48no—
579C4⋊C4—88no—
580C4⋊C4—88no—
581C22⋊C4—216no—
582C22⋊C4—216no—
583C22⋊C4—216no—
584C22⋊C4—216no—
585C22⋊C4—216no—
586C22⋊C4—216no—
587C22⋊C4—216no—
588C22⋊C4—416no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—416no—
592C22⋊C4—88no—
593C22⋊C4—88no—
594C22⋊C4—88no—
595C22⋊C4—88no—
596C22⋊C4—88no—
597C42—216no—
598C23—24no—
599C23—24no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—24no—
605C23—24no—
606C23—28no—
607C23—28no—
608C23—28no—
609C23—28no—
610C23—232no—
611C23—24no—
612C23—24no—
613C23—24no—
614C23—24no—
615C23—24no—
616C23—24no—
617C23—24no—
618C23—24no—
619C23—24no—
620C23—24no—
621C23—28no—
622C23—28no—
623C23—28no—
624C23—28no—
625C23—24no—
626C23—24no—
627C23—24no—
628C23—28no—
629C23—28no—
630C23—416no—
631C23—416no—
632C23—416no—
633C23—416no—
634C23—416no—
635C23—416no—
636C23—464no—
637C23—464no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—42no—
647C23—42no—
648C23—44no—
649C23—44no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—44no—
657C23—44no—
658C23—44no—
659C23—44no—
660C23—44no—
661C23—44no—
662C23—44no—
663C23—44no—
664C23C2×#12018yes—
665C23C2×#12014yes—
666C23#52514yes—
667C23#53614yes—
668C23#54718yes—
669C23#54718yes—
670C23C23×D411yescharacteristic
671C23C23×D412yes—
672C23C22×#4111yescharacteristic
673C23C22×#4111yescharacteristic
674C23C2×H(5,𝔽2)12yes—
675C23C2×H(5,𝔽2)12yes—
676C23C2×2−1+412yes—
677C23#58512yes—
678C23#58512yes—
679Q8—88no—
680D4—432no—
681D4—816no—
682D4—816no—
683D4—88no—
684C2×C4—232no—
685C2×C4—24no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—24no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—24no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—24no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—28no—
707C2×C4—28no—
708C2×C4—28no—
709C2×C4—464no—
710C2×C4—416no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—42no—
737C2×C4—42no—
738C2×C4—44no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—44no—
744C2×C4—44no—
745C2×C4—44no—
746C2×C4—44no—
747C2×C4—44no—
748C2×C4—44no—
749C2×C4—44no—
750C2×C4—44no—
751C2×C4—44no—
752C2×C4—88no—
753C2×C4—88no—
754C2×C4—816no—
755C2×C4—88no—
756C2×C4—88no—
757C2×C4#53818yescomplemented
758C22—24no—
759C22—24no—
760C22—24no—
761C22—24no—
762C22—24no—
763C22—24no—
764C22—216no—
765C22—216no—
766C22—28no—
767C22—28no—
768C22—28no—
769C22—464no—
770C22—44no—
771C22—44no—
772C22—44no—
773C22—44no—
774C22—48no—
775C22—48no—
776C22—48no—
777C22—48no—
778C22—44no—
779C22—44no—
780C22—44no—
781C22—48no—
782C22—48no—
783C22—82no—
784C22—82no—
785C22—82no—
786C22—82no—
787C22—84no—
788C22—84no—
789C22#240618yes—
790C22C22×#12011yescharacteristic
791C22C2×#52511yescharacteristic
792C22C2×#53611yescharacteristic
793C22C2×#53812yes—
794C22#345512yes—
795C22C2×#54712yes—
796C22C2×#54712yes—
797C22#348411yescharacteristic
798C22#348411yescharacteristic
799C22#348511yescharacteristic
800C22#348511yescharacteristic
801C22#349012yes—
802C22#349312yes—
803C22#349614yes—
804C22#349614yes—
805C22#354114yes—
806C22#354114yes—
807C4—28no—
808C4—44no—
809C4—42no—
810C4—44no—
811C4—42no—
812C4—44no—
813C4—44no—
814C4—44no—
815C4—82no—
816C4—82no—
817C4—84no—
818C4—84no—
819C2—28no—
820C2—48no—
821C2—84no—
822C2C2×#240611yescharacteristic
823C2#3498811yescharacteristic
824C2#3509311yescharacteristic
825C2#3534711yescharacteristic
826C2#3534711yescharacteristic
827C2#3670511yescharacteristic
828C2#3671611yescharacteristic
829C2#3934414yes—
830C2#3934914yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#538C2
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×#2622C2semidirect
3. C22×#380C2semidirect
4. #15911C2semidirect
5. #15311C2semidirect
6. #15274C2semidirect
7. #15269C2semidirect
8. #14914C2semidirect
9. #14913C2semidirect
10. #14720C2semidirect
11. #14719C2semidirect
12. #14694C2semidirect
13. #14341C2semidirect
14. #14016C2semidirect
15. #14015C2semidirect
34. C2×#395C22semidirect
37. C2×#394C22semidirect
46. C2×#385C22semidirect
53. #1446C22semidirect
54. #1444C22semidirect
55. #1444C22semidirect
56. #1444C22semidirect
57. #1442C22semidirect
58. #1442C22semidirect
59. #1441C22semidirect
60. #1441C22semidirect
61. #1441C22semidirect
64. #1440C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1438C22semidirect
69. #1436C22semidirect
70. #1436C22semidirect
78. C22⋊#95C22semidirect
757. C2×C4#538semidirect

Maximal subgroups

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

subgroupindex
C22×#5382
C2×#26222
C22×#3802
#159112
#153112
#152742
#152692
#149142
#149132
#147202
#147192
#146942
#143412
#140162
#140152