Finite Group Databasebeta

← #4928804

Subgroups — #4928804

Order 512.

3972 conjugacy classes of subgroups.

The subgroup lattice has 812 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×#2273C211yesmaximal, characteristic, complemented
5#14968C214yesmaximal, complemented
6#14922C214yesmaximal, complemented
7#14833C214yesmaximal, complemented
8#14754C214yesmaximal, complemented
9#14137C211yesmaximal, characteristic, complemented
10#14134C212yesmaximal, complemented
11#14134C212yesmaximal, complemented
12#14020C212yesmaximal, complemented
13#14019C212yesmaximal, complemented
14#13923C211yesmaximal, characteristic, complemented
15#13881C211yesmaximal, characteristic, complemented
16C22×#121C2211yescharacteristic
17C22×#120C2212yes—
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2212yes—
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25#2617—28no—
26#2591—28no—
27C2×#400C2212yescomplemented
28C2×#397C2212yes—
29C2×#396—28no—
30C2×#396C2214yes—
31C2×#396C2214yes—
32C2×#394C2212yes—
33C2×#394C2212yes—
34C2×#394C2212yescomplemented
35C2×#392C2212yes—
36C2×#390C2212yescomplemented
37C2×#388C2214yescomplemented
38C2×#388C2214yescomplemented
39C2×#386C2212yes—
40C2×#386C2212yes—
41C2×#386C2212yes—
42C2×#386C2212yes—
43C2×#386C2212yes—
44C2×#386C2214yes—
45C2×#386C2214yes—
46C2×#382C2212yescomplemented
47C2×#380C2211yescharacteristic
48#2273—28no—
49C2×C4×C22⋊C4C2211yescharacteristic
50C2×C4×C22⋊C4C2214yes—
51C2×C4×C22⋊C4C2214yes—
52C2×C4×C22⋊C4C2212yes—
53C2×C4×C22⋊C4C2211yescharacteristic
54C22×#95C2211yescharacteristic
55#1443C2214yescomplemented
56#1442C2214yescomplemented
57#1442C2214yescomplemented
58#1441C2212yescomplemented
59#1441C2212yescomplemented
60#1440C2214yes—
61#1440C2214yes—
62#1440C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1438C2214yes—
66#1438C2214yes—
67#1437C2214yescomplemented
68#1436C2214yescomplemented
69#1436C2214yescomplemented
70C4⋊#95C2212yescomplemented
71C4⋊#95C2212yescomplemented
72#1434C2214yescomplemented
73C22⋊#95C2212yes—
74C22⋊#95C2212yes—
75C22⋊#95C2214yes—
76C22⋊#95C2212yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yes—
79C26C2311yescharacteristic
80C23×D4C2312yes—
81C23×D4C2311yescharacteristic
82C23×D4C2312yes—
83C23×D4C2312yes—
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2314yes—
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C2×#121—24no—
92C2×#121—24no—
93C2×#121—24no—
94C2×#120—28no—
95C2×#120—28no—
96C2×#120—28no—
97C22×C4⋊C4—24no—
98C22×C4⋊C4—24no—
99C22×C4⋊C4—24no—
100C22×C4⋊C4—24no—
101C22×C4⋊C4—24no—
102C22×C4⋊C4—44no—
103C22×C4⋊C4—44no—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2312yes—
109C22×C4⋊C4C2314yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C22⋊C4—28no—
113C22×C22⋊C4—24no—
114C22×C22⋊C4—24no—
115C22×C22⋊C4—28no—
116C22×C22⋊C4—28no—
117C22×C22⋊C4—24no—
118C22×C22⋊C4—24no—
119C22×C22⋊C4—44no—
120C22×C22⋊C4—44no—
121C22×C22⋊C4D418yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C42C2314yes—
140C22×C42C2312yes—
141C22×C42C2312yes—
142#400—28no—
143#397—28no—
144#396—216no—
145#396—216no—
146#394—28no—
147#394—28no—
148#394—28no—
149#392—28no—
150#390—44no—
151#388—216no—
152#388—48no—
153#386—28no—
154#386—28no—
155#386—28no—
156#386—28no—
157#386—28no—
158#386—48no—
159#386—48no—
160#382—44no—
161#380—24no—
162C4×C22⋊C4—24no—
163C4×C22⋊C4—28no—
164C4×C22⋊C4—216no—
165C4×C22⋊C4—216no—
166C4×C22⋊C4D418yescomplemented
167C2×#95—24no—
168C2×#95C2312yes—
169C2×#95C2312yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2314yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2312yes—
187C25—22no—
188C25—22no—
189C25—24no—
190C25—42no—
191C25—42no—
192C25—42no—
193C25—42no—
194C25C2×D414yes—
195C25#4118yes—
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—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—22no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—42no—
216C22×D4—44no—
217C22×D4—44no—
218C22×D4—44no—
219C22×D4—44no—
220C22×D4—42no—
221C23×C4—22no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—28no—
225C23×C4—22no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—28no—
229C23×C4—28no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—24no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4—42no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4C2×D414yes—
253C23×C4C2×D414yes—
254C23×C4C2×D414yes—
255C23×C4#4114yes—
256C23×C4C2412yes—
257C23×C4C2412yes—
258C23×C4C2412yes—
259C23×C4C2412yes—
260C23×C4C2412yes—
261C23×C4C2412yes—
262C23×C4C2414yes—
263C23×C4C2414yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2411yescharacteristic
267C23×C4C2411yescharacteristic
268#121—416no—
269#120—432no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—24no—
272C2×C4⋊C4—28no—
273C2×C4⋊C4—24no—
274C2×C4⋊C4—24no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—22no—
278C2×C4⋊C4—22no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—42no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—416no—
291C2×C4⋊C4—416no—
292C2×C4⋊C4—416no—
293C2×C4⋊C4—42no—
294C2×C4⋊C4—42no—
295C2×C22⋊C4—264no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—232no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—24no—
304C2×C22⋊C4—24no—
305C2×C22⋊C4—28no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
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—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—28no—
326C2×C22⋊C4—28no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—44no—
335C2×C22⋊C4—44no—
336C2×C22⋊C4—416no—
337C2×C22⋊C4—416no—
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⋊C4C2×D418yes—
345C2×C22⋊C4C2×D418yes—
346C2×C22⋊C4C2×D418yes—
347C2×C22⋊C4#4118yes—
348C2×C42—28no—
349C2×C42—24no—
350C2×C42—42no—
351C2×C42—42no—
352C2×C42—44no—
353C2×C42—42no—
354C2×C42—42no—
355C2×C42—44no—
356C2×C42C2×D418yes—
357#95—28no—
358#95—28no—
359#95—24no—
360#95—24no—
361#95—28no—
362#95—28no—
363#95—24no—
364#95—24no—
365#95—28no—
366#95—28no—
367#95—28no—
368#95—28no—
369#95—44no—
370#95—44no—
371#95—44no—
372#95—44no—
373#95—44no—
374#95—44no—
375#95C2×D418yes—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—22no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—24no—
385C24—24no—
386C24—24no—
387C24—24no—
388C24—28no—
389C24—216no—
390C24—216no—
391C24—28no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—24no—
400C24—24no—
401C24—24no—
402C24—24no—
403C24—44no—
404C24—44no—
405C24—44no—
406C24—44no—
407C24—416no—
408C24—416no—
409C24—84no—
410C24—84no—
411C24—84no—
412C24—84no—
413C24—88no—
414C24—88no—
415C24#124116yes—
416C24C22×D414yes—
417C24C22×D412yes—
418C24C22×D412yes—
419C24C2×#4114yes—
420C24C2×#4114yes—
421C24C2×#4112yes—
422C24C2×#4114yes—
423C24C2×#4114yes—
424C24C2511yescharacteristic
425C2×D4—48no—
426C2×D4—416no—
427C2×D4—416no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—48no—
434C2×D4—48no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—44no—
438C2×D4—82no—
439C2×D4—82no—
440C2×D4—84no—
441C2×D4—84no—
442C2×D4—84no—
443C2×D4—84no—
444C2×D4—84no—
445C2×D4—88no—
446C2×D4—88no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—28no—
452C22×C4—28no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—232no—
480C22×C4—28no—
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—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—416no—
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—44no—
527C22×C4—88no—
528C22×C4—88no—
529C22×C4—88no—
530C22×C4—88no—
531C22×C4—84no—
532C22×C4—84no—
533C22×C4—88no—
534C22×C4—88no—
535C22×C4—84no—
536C22×C4—84no—
537C22×C4—88no—
538C22×C4#121116yes—
539C22×C4C22×D414yes—
540C22×C4C22×D418yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C2×#4118yes—
546C22×C4C2×#4112yes—
547C22×C4C2×#4112yes—
548C22×C4H(5,𝔽2)14yes—
549C22×C4H(5,𝔽2)14yes—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—416no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—82no—
557C4⋊C4—82no—
558C22⋊C4—232no—
559C22⋊C4—216no—
560C22⋊C4—216no—
561C22⋊C4—216no—
562C22⋊C4—216no—
563C22⋊C4—416no—
564C22⋊C4—416no—
565C22⋊C4—416no—
566C22⋊C4—416no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—88no—
574C22⋊C4—88no—
575C42—48no—
576C42—84no—
577C42—88no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—28no—
587C23—28no—
588C23—28no—
589C23—28no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—28no—
601C23—28no—
602C23—28no—
603C23—28no—
604C23—232no—
605C23—416no—
606C23—416no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—44no—
638C23—88no—
639C23—88no—
640C23—88no—
641C23—88no—
642C23—832no—
643C23—832no—
644C23C2×#12114yes—
645C23#52518yes—
646C23C2×#12418yes—
647C23C2×#12414yes—
648C23#52918yes—
649C23#53214yes—
650C23C23×D411yescharacteristic
651C23C23×D411yescharacteristic
652C23C22×#4111yescharacteristic
653C23C22×#4112yes—
654C23C22×#4112yes—
655C23C2×H(5,𝔽2)12yes—
656C23C2×H(5,𝔽2)12yes—
657C23#58512yes—
658C23#58512yes—
659D4—88no—
660D4—816no—
661D4—816no—
662D4—816no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—28no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—416no—
686C2×C4—416no—
687C2×C4—416no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
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—42no—
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—42no—
723C2×C4—42no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—88no—
733C2×C4—832no—
734C2×C4—88no—
735C2×C4—88no—
736C2×C4C2×#12114yes—
737C2×C4C2×#12114yes—
738C22—24no—
739C22—24no—
740C22—24no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—216no—
745C22—216no—
746C22—28no—
747C22—28no—
748C22—28no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—48no—
754C22—48no—
755C22—48no—
756C22—48no—
757C22—832no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—84no—
766C22—84no—
767C22—84no—
768C22—84no—
769C22#285018yes—
770C22C22×#12111yescharacteristic
771C22C2×#52512yes—
772C22C22×#12411yescharacteristic
773C22C2×#52912yes—
774C22C2×#53211yescharacteristic
775C22#348411yescharacteristic
776C22#348411yescharacteristic
777C22#348511yescharacteristic
778C22#348511yescharacteristic
779C22#348812yes—
780C22#349412yes—
781C22#349612yes—
782C22#350512yes—
783C22#350514yes—
784C22#350514yes—
785C22#351914yes—
786C22#352114yes—
787C4—24no—
788C4—24no—
789C4—44no—
790C4—44no—
791C4—44no—
792C4—48no—
793C4—48no—
794C4—82no—
795C4—82no—
796C4—82no—
797C4—82no—
798C4—82no—
799C2—28no—
800C2—48no—
801C2—162no—
802C2#3535811yescharacteristic
803C2#3537711yescharacteristic
804C2#3537711yescharacteristic
805C2#3539511yescharacteristic
806C2#3546711yescharacteristic
807C2#3551411yescharacteristic
808C2#3577714yes—
809C2#3578014yes—
810C2C2×#285011yescharacteristic
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×#2273C2semidirect
5. #14968C2semidirect
6. #14922C2semidirect
7. #14833C2semidirect
8. #14754C2semidirect
9. #14137C2semidirect
10. #14134C2semidirect
11. #14134C2semidirect
12. #14020C2semidirect
13. #14019C2semidirect
14. #13923C2semidirect
15. #13881C2semidirect
27. C2×#400C22semidirect
34. C2×#394C22semidirect
36. C2×#390C22semidirect
37. C2×#388C22semidirect
38. C2×#388C22semidirect
46. C2×#382C22semidirect
55. #1443C22semidirect
56. #1442C22semidirect
57. #1442C22semidirect
58. #1441C22semidirect
59. #1441C22semidirect
62. #1440C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
67. #1437C22semidirect
68. #1436C22semidirect
69. #1436C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
72. #1434C22semidirect
166. 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×#22732
#149682
#149222
#148332
#147542
#141372
#141342
#140202
#140192
#139232
#138812