Finite Group Databasebeta

← #4452761

Subgroups — #4452761

Order 512.

3560 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×#2591C211yesmaximal, characteristic, complemented
2C2×#2617C211yesmaximal, characteristic
3C22×#396C211yesmaximal, characteristic, complemented
4C2×#2312C211yesmaximal, characteristic, complemented
5#16817C214yesmaximal, complemented
6#16514C214yesmaximal, complemented
7#16466C214yesmaximal, complemented
8#16290C214yesmaximal, complemented
9#14921C212yesmaximal, complemented
10#14729C212yesmaximal, complemented
11#14718C212yesmaximal, complemented
12#14718C212yesmaximal, complemented
13#14137C211yesmaximal, characteristic, complemented
14#13923C211yesmaximal, characteristic, complemented
15#13880C211yesmaximal, characteristic, complemented
16C22×#121C2211yescharacteristic
17C22×#120C2212yes—
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24#2617—28no—
25#2591—28no—
26C2×#400C2212yescomplemented
27C2×#397C2212yes—
28C2×#396—28no—
29C2×#396C2214yes—
30C2×#396C2214yes—
31C2×#396C2214yescomplemented
32C2×#394C2212yes—
33C2×#394C2212yes—
34C2×#394C2214yes—
35C2×#394C2214yes—
36C2×#394C2212yescomplemented
37C2×#392C2212yes—
38#2312—28no—
39C2×#390C2212yescomplemented
40C2×#388C2214yes—
41C2×#388C2214yes—
42C2×#388C2214yescomplemented
43C2×#386C2212yes—
44C2×#386C2212yes—
45C2×#386C2212yes—
46C2×#386C2212yes—
47C2×#386C2212yes—
48C2×#385C2212yes—
49C2×#385C2212yes—
50C2×#384C2212yescomplemented
51C2×#380C2211yescharacteristic
52C2×#380C2212yes—
53C2×#379C2212yes—
54C2×C4×C22⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2211yescharacteristic
56C22×#95C2211yescharacteristic
57#1444C2214yescomplemented
58#1443C2214yescomplemented
59#1441C2214yescomplemented
60#1441C2214yescomplemented
61#1441C2214yescomplemented
62#1441C2212yescomplemented
63#1441C2212yescomplemented
64#1440C2214yes—
65#1440C2214yes—
66#1439C2214yes—
67#1439C2214yes—
68#1439C2214yescomplemented
69#1439C2214yescomplemented
70#1439C2214yescomplemented
71#1439C2214yescomplemented
72#1438C2214yes—
73#1438C2214yes—
74#1436C2214yescomplemented
75C4⋊#95C2212yescomplemented
76C4⋊#95C2212yescomplemented
77C22⋊#95C2212yes—
78C22⋊#95C2212yes—
79C26C2311yescharacteristic
80C23×D4C2312yes—
81C23×D4C2311yescharacteristic
82C23×D4C2312yes—
83C23×D4C2312yes—
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C2×#121—24no—
91C2×#121—24no—
92C2×#121—24no—
93C2×#120—28no—
94C2×#120—44no—
95C2×#120—44no—
96C22×C4⋊C4—24no—
97C22×C4⋊C4—24no—
98C22×C4⋊C4—24no—
99C22×C4⋊C4—24no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—44no—
102C22×C4⋊C4—44no—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2311yescharacteristic
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2314yes—
112C22×C4⋊C4C2314yes—
113C22×C4⋊C4C2314yes—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—24no—
116C22×C22⋊C4—24no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—44no—
119C22×C22⋊C4—44no—
120C22×C22⋊C4D418yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C42C2312yes—
140C22×C42C2312yes—
141#400—28no—
142#397—28no—
143#396—216no—
144#396—216no—
145#396—48no—
146#394—28no—
147#394—28no—
148#394—28no—
149#394—48no—
150#394—48no—
151#392—28no—
152#390—44no—
153#388—216no—
154#388—216no—
155#388—216no—
156#386—28no—
157#386—28no—
158#386—28no—
159#386—44no—
160#386—44no—
161#385—44no—
162#385—44no—
163#384—44no—
164#380—24no—
165#380—28no—
166#379—28no—
167C4×C22⋊C4—24no—
168C4×C22⋊C4D418yescomplemented
169C2×#95—24no—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2312yes—
173C2×#95C2312yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2312yes—
187C25—24no—
188C25—22no—
189C25—22no—
190C25—24no—
191C25—42no—
192C25—42no—
193C25—42no—
194C25—42no—
195C25C2×D414yes—
196C25C2412yes—
197C25C2412yes—
198C25C2411yescharacteristic
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—24no—
205C22×D4—24no—
206C22×D4—24no—
207C22×D4—24no—
208C22×D4—22no—
209C22×D4—22no—
210C22×D4—22no—
211C22×D4—42no—
212C22×D4—42no—
213C22×D4—42no—
214C22×D4—42no—
215C22×D4—42no—
216C22×D4—42no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—44no—
220C22×D4—44no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—22no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—42no—
236C23×C4—42no—
237C23×C4—42no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4C2×D414yes—
246C23×C4C2×D414yes—
247C23×C4C2×D414yes—
248C23×C4#4114yes—
249C23×C4C2414yes—
250C23×C4C2412yes—
251C23×C4C2412yes—
252C23×C4C2412yes—
253C23×C4C2412yes—
254C23×C4C2412yes—
255C23×C4C2414yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2411yescharacteristic
260C23×C4C2411yescharacteristic
261#121—416no—
262#120—432no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—28no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—22no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—22no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—28no—
278C2×C4⋊C4—28no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—28no—
282C2×C4⋊C4—42no—
283C2×C4⋊C4—42no—
284C2×C4⋊C4—44no—
285C2×C4⋊C4—416no—
286C2×C4⋊C4—416no—
287C2×C4⋊C4—416no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—42no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—44no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—44no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—232no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—24no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—44no—
328C2×C22⋊C4—44no—
329C2×C22⋊C4—44no—
330C2×C22⋊C4—42no—
331C2×C22⋊C4—42no—
332C2×C22⋊C4—42no—
333C2×C22⋊C4—42no—
334C2×C22⋊C4—416no—
335C2×C22⋊C4—416no—
336C2×C22⋊C4—44no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4C2×D418yes—
350C2×C22⋊C4C2×D418yes—
351C2×C22⋊C4C2×D418yes—
352C2×C42—24no—
353C2×C42—42no—
354C2×C42—42no—
355C2×C42—42no—
356C2×C42—42no—
357C2×C42C2×D418yes—
358#95—28no—
359#95—24no—
360#95—28no—
361#95—24no—
362#95—28no—
363#95—28no—
364#95—24no—
365#95—24no—
366#95—28no—
367#95—44no—
368#95—44no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95—44no—
373#95—44no—
374#95C2×D418yes—
375C24—22no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—28no—
380C24—22no—
381C24—22no—
382C24—24no—
383C24—24no—
384C24—22no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—24no—
389C24—24no—
390C24—28no—
391C24—28no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—24no—
396C24—24no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—24no—
402C24—24no—
403C24—44no—
404C24—44no—
405C24—44no—
406C24—44no—
407C24—416no—
408C24—416no—
409C24—48no—
410C24—48no—
411C24—84no—
412C24—84no—
413C24—84no—
414C24—84no—
415C24—88no—
416C24—88no—
417C24C22×D414yes—
418C24C22×D412yes—
419C24C22×D412yes—
420C24C2×#4112yes—
421C24H(5,𝔽2)14yes—
422C242−1+414yes—
423C24C2511yescharacteristic
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—44no—
435C2×D4—82no—
436C2×D4—82no—
437C2×D4—84no—
438C2×D4—84no—
439C2×D4—84no—
440C2×D4—84no—
441C2×D4—84no—
442C2×D4—88no—
443C2×D4—88no—
444C2×D4—88no—
445C2×D4—88no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—28no—
451C22×C4—28no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—28no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—416no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4—84no—
530C22×C4—88no—
531C22×C4#121116yes—
532C22×C4C22×D414yes—
533C22×C4C22×D418yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C2×#4112yes—
539C22×C4C2×#4112yes—
540C22×C4H(5,𝔽2)14yes—
541C22×C4H(5,𝔽2)14yes—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—416no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—44no—
548C4⋊C4—82no—
549C4⋊C4—82no—
550C4⋊C4—88no—
551C4⋊C4—88no—
552C4⋊C4—88no—
553C22⋊C4—216no—
554C22⋊C4—216no—
555C22⋊C4—216no—
556C22⋊C4—416no—
557C22⋊C4—416no—
558C22⋊C4—416no—
559C22⋊C4—48no—
560C22⋊C4—48no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—84no—
565C22⋊C4—84no—
566C22⋊C4—88no—
567C22⋊C4—88no—
568C22⋊C4—88no—
569C22⋊C4—88no—
570C22⋊C4—88no—
571C42—48no—
572C42—84no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—28no—
582C23—28no—
583C23—28no—
584C23—28no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—416no—
593C23—416no—
594C23—416no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—88no—
635C23—88no—
636C23—88no—
637C23—88no—
638C23—832no—
639C23—832no—
640C23C2×#12114yes—
641C23#53514yes—
642C23#53614yes—
643C23#53718yes—
644C23#54218yes—
645C23C23×D411yescharacteristic
646C23C23×D411yescharacteristic
647C23C22×#4111yescharacteristic
648C23C2×H(5,𝔽2)12yes—
649C23C2×H(5,𝔽2)12yes—
650C23C2×H(5,𝔽2)12yes—
651C23C2×2−1+412yes—
652C23#58512yes—
653C23#58512yes—
654D4—88no—
655D4—816no—
656D4—816no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—28no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—28no—
676C2×C4—28no—
677C2×C4—416no—
678C2×C4—416no—
679C2×C4—416no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—88no—
728C2×C4—88no—
729C2×C4—88no—
730C2×C4C2×#12114yes—
731C2×C4C2×#12114yes—
732C22—24no—
733C22—216no—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—216no—
739C22—24no—
740C22—44no—
741C22—44no—
742C22—44no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—832no—
748C22—84no—
749C22—84no—
750C22—84no—
751C22—84no—
752C22—82no—
753C22—82no—
754C22—84no—
755C22—84no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—84no—
761C22—84no—
762C22—82no—
763C22#262018yes—
764C22C22×#12111yescharacteristic
765C22C2×#53511yescharacteristic
766C22C2×#53611yescharacteristic
767C22C2×#53712yes—
768C22C2×#54212yes—
769C22#348411yescharacteristic
770C22#348411yescharacteristic
771C22#348511yescharacteristic
772C22#348511yescharacteristic
773C22#348812yes—
774C22#349412yes—
775C22#349612yes—
776C22#350512yes—
777C22#353714yes—
778C22#354114yes—
779C22#354114yes—
780C22#356014yes—
781C4—24no—
782C4—24no—
783C4—48no—
784C4—44no—
785C4—44no—
786C4—44no—
787C4—82no—
788C4—82no—
789C4—84no—
790C4—82no—
791C4—82no—
792C4—82no—
793C2—28no—
794C2—84no—
795C2—162no—
796C2C2×#262011yescharacteristic
797C2#3535811yescharacteristic
798C2#3551411yescharacteristic
799C2#3670511yescharacteristic
800C2#3671611yescharacteristic
801C2#3671711yescharacteristic
802C2#3696911yescharacteristic
803C2#4051514yes—
804C2#4056114yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2617C2
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×#2591C2semidirect
3. C22×#396C2semidirect
4. C2×#2312C2semidirect
5. #16817C2semidirect
6. #16514C2semidirect
7. #16466C2semidirect
8. #16290C2semidirect
9. #14921C2semidirect
10. #14729C2semidirect
11. #14718C2semidirect
12. #14718C2semidirect
13. #14137C2semidirect
14. #13923C2semidirect
15. #13880C2semidirect
26. C2×#400C22semidirect
31. C2×#396C22semidirect
36. C2×#394C22semidirect
39. C2×#390C22semidirect
42. C2×#388C22semidirect
50. C2×#384C22semidirect
57. #1444C22semidirect
58. #1443C22semidirect
59. #1441C22semidirect
60. #1441C22semidirect
61. #1441C22semidirect
62. #1441C22semidirect
63. #1441C22semidirect
68. #1439C22semidirect
69. #1439C22semidirect
70. #1439C22semidirect
71. #1439C22semidirect
74. #1436C22semidirect
75. C4⋊#95C22semidirect
76. C4⋊#95C22semidirect
168. C4×C22⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25912
C2×#26172
C22×#3962
C2×#23122
#168172
#165142
#164662
#162902
#149212
#147292
#147182
#141372
#139232
#138802