Finite Group Databasebeta

← #63030

Subgroups — #63030

Order 256.

3313 conjugacy classes of subgroups.

The subgroup lattice has 695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3566C218yesmaximal, complemented
2#3562C214yesmaximal, complemented
3#3561C214yesmaximal, complemented
4#3557C214yesmaximal, complemented
5#3554C212yesmaximal, complemented
6#3543C211yesmaximal, characteristic, complemented
7#3533C214yesmaximal, complemented
8#3524C214yesmaximal, complemented
9#3523C212yesmaximal, complemented
10#3514C214yesmaximal, complemented
11#3514C212yesmaximal, complemented
12#3513C214yesmaximal, complemented
13#3510C214yesmaximal, complemented
14#3508C211yesmaximal, characteristic, complemented
15#3507C212yesmaximal, complemented
16#3491C214yesmaximal, complemented
17#3482C212yesmaximal, complemented
18#3480C212yesmaximal, complemented
19C2×#559C211yesmaximal, characteristic, complemented
20#3475C214yesmaximal, complemented
21#563C2214yescomplemented
22#563C2218yescomplemented
23#562C2218yescomplemented
24#562C2218yescomplemented
25#560C2214yes—
26#560C2214yescomplemented
27#559C2212yes—
28#559C2211yescharacteristic
29#559C2211yescharacteristic, complemented
30#559C2214yescomplemented
31#559C2211yescharacteristic, complemented
32#559C2214yescomplemented
33#559C2214yescomplemented
34#559C2214yescomplemented
35#559C2214yescomplemented
36#559C2214yescomplemented
37#559C2214yescomplemented
38#557C2212yescomplemented
39#557C2212yescomplemented
40#557C2212yescomplemented
41#557C2214yescomplemented
42#556C2214yescomplemented
43#556C2212yescomplemented
44#556C2214yescomplemented
45#556C2212yescomplemented
46#556C2214yescomplemented
47#556C2214yescomplemented
48#556C2214yescomplemented
49#556C2214yescomplemented
50#555C2214yescomplemented
51#555C2218yescomplemented
52#554C2214yescomplemented
53#554C2214yescomplemented
54#553C2218yescomplemented
55#553C2214yescomplemented
56#553C2218yescomplemented
57#553C2218yescomplemented
58#552C2212yescomplemented
59#552C2214yescomplemented
60#552C2218yescomplemented
61#552C2214yescomplemented
62#552C2212yescomplemented
63#552C2214yescomplemented
64#552C2218yescomplemented
65#552C2218yescomplemented
66#552C2218yescomplemented
67#551C2218yescomplemented
68#551C2218yescomplemented
69#551C2218yescomplemented
70#551C2218yescomplemented
71#551C2218yescomplemented
72#551C2214yescomplemented
73#551C2218yescomplemented
74#551C2218yescomplemented
75#550C2212yes—
76#550C2214yescomplemented
77D4×Q8C2212yescomplemented
78D4×Q8C2212yescomplemented
79D4×Q8C2214yescomplemented
80#548C2212yes—
81#548C2214yescomplemented
82#548C2212yescomplemented
83#548C2214yescomplemented
84#548C2214yescomplemented
85#547C2212yes—
86#547C2214yescomplemented
87#547C2214yescomplemented
88#546C2214yes—
89#546C2214yescomplemented
90#546C2214yescomplemented
91#546C2218yescomplemented
92#546C2214yescomplemented
93#546C2214yescomplemented
94D42C2214yes—
95D42C2211yescharacteristic
96#543C2214yescomplemented
97#542C2218yescomplemented
98#542C2218yescomplemented
99#542C2214yescomplemented
100#542C2214yescomplemented
101#542C2218yescomplemented
102#542C2214yescomplemented
103#542C2218yescomplemented
104#541C2214yescomplemented
105#541C2218yescomplemented
106#540C2214yes—
107#540C2214yescomplemented
108#540C2214yescomplemented
109#540C2218yescomplemented
110#539C2218yescomplemented
111#539C2218yescomplemented
112#539C2218yescomplemented
113#539C2218yescomplemented
114#538C2218yescomplemented
115#538C2218yescomplemented
116#538C2218yescomplemented
117#538C2218yescomplemented
118#536C2214yescomplemented
119#536C2214yescomplemented
120#535C2214yes—
121#535C2212yescomplemented
122#534C2214yes—
123#533C2214yescomplemented
124#533C2212yescomplemented
125#533C2214yescomplemented
126#533C2211yescharacteristic, complemented
127#532C2212yes—
128#532C2212yescomplemented
129#532C2214yescomplemented
130C2×#127C2211yescharacteristic
131#529C2212yes—
132#529C2214yes—
133#529C2214yescomplemented
134#529C2218yescomplemented
135#529C2214yescomplemented
136#529C2218yescomplemented
137#529C2218yescomplemented
138#529C2214yescomplemented
139#529C2214yescomplemented
140#529C2212yescomplemented
141#529C2214yescomplemented
142#529C2218yescomplemented
143#529C2214yescomplemented
144C2×#124C2214yescomplemented
145C2×#124C2214yescomplemented
146#525C2218yescomplemented
147C2×#123C2214yescomplemented
148C2×#123C2214yescomplemented
149#520C2214yescomplemented
150#519C2214yescomplemented
151#518C2212yescomplemented
152#518C2214yescomplemented
153#518C2214yescomplemented
154C4×#41C2214yescomplemented
155C4×#41C2214yescomplemented
156C4×#41C2214yescomplemented
157C4×#41C2212yescomplemented
158C4×#41C2211yescharacteristic, complemented
159C2×C4×Q8C2212yescomplemented
160C2×C4×Q8C2212yescomplemented
161C2×C4×D4C2214yescomplemented
162C2×#117C2214yescomplemented
163C2×#41C2314yes—
164C2×#41C2312yes—
165C2×#41C2314yes—
166C2×#41C2314yes—
167C2×#41C2311yescharacteristic
168C2×#41C2314yes—
169C22×Q8C2312yes—
170C22×Q8C2312yes—
171C22×Q8C2314yes—
172C22×D4C2314yes—
173C22×D4C2312yes—
174C22×D4C2314yes—
175C22×D4C2314yes—
176C23×C4C2314yes—
177C4⋊Q8C2312yes—
178C4⋊Q8C2314yes—
179C4⋊Q8C2314yes—
180C4⋊Q8C2312yes—
181C4⋊Q8C2312yes—
182C4⋊Q8C2314yes—
183C4⋊Q8C2314yes—
184C4⋊Q8C2314yes—
185C4⋊Q8C2318yes—
186#127C2311yescharacteristic
187#127C2311yescharacteristic
188#127C2314yes—
189#127C2312yes—
190#127C2314yes—
191#127C2314yes—
192#126C2318yes—
193#126C2314yes—
194#126C2318yes—
195#126C2314yes—
196#126C2314yes—
197#126C2318yes—
198#126C2318yes—
199#126C2318yes—
200#126C2318yes—
201#126C2318yes—
202#126C2314yes—
203#126C2318yes—
204#126C2318yes—
205#126C2314yes—
206#126C2314yes—
207#126C2318yes—
208#126C2318yes—
209#126C2318yes—
210#125C2314yes—
211#125C2312yes—
212#125C2312yes—
213#125C2314yes—
214#125C2314yes—
215#125C2314yes—
216#125C2314yes—
217#125C2318yes—
218#125C2318yes—
219#125C2314yes—
220#125C2314yes—
221#125C2312yes—
222#125C2318yes—
223#125C2318yes—
224#125C2318yes—
225#124C2312yes—
226#124C2314yes—
227#124C2314yes—
228#124C2318yes—
229#124C2314yes—
230#124C2314yes—
231#124C2314yes—
232#124C2314yes—
233#124C2318yes—
234#124C2318yes—
235#124C2318yes—
236#124C2312yes—
237#124C2314yes—
238#124C2314yes—
239#124C2314yes—
240#124C2318yes—
241#124C2318yes—
242#124C2314yes—
243#124C2314yes—
244#124C2318yes—
245#124C2318yes—
246#123C2314yes—
247#123C2318yes—
248#123C2318yes—
249#123C2314yes—
250#123C2314yes—
251#123C2318yes—
252#123C2318yes—
253#123C2314yes—
254#123C2314yes—
255#123C2318yes—
256#123C2314yes—
257#123C2314yes—
258#123C2318yes—
259#123C2318yes—
260#123C2314yes—
261#123C2314yes—
262#123C2318yes—
263#123C2318yes—
264#123C2318yes—
265#123C2318yes—
266#123C2314yes—
267#123C2318yes—
268#123C2318yes—
269#123C2314yes—
270#123C2314yes—
271#123C2318yes—
272#123C2318yes—
273#123C2318yes—
274#123C2318yes—
275C22⋊Q8C2318yes—
276C22⋊Q8C2318yes—
277C22⋊Q8C2312yes—
278C22⋊Q8C2314yes—
279C22⋊Q8C2312yes—
280C22⋊Q8C2312yes—
281C22⋊Q8C2318yes—
282C22⋊Q8C2318yes—
283C22⋊Q8C2318yes—
284C22⋊Q8C2318yes—
285C22⋊Q8C2314yes—
286C22⋊Q8C2314yes—
287C22⋊Q8C2312yes—
288C22⋊Q8C2314yes—
289C22⋊Q8C2314yes—
290C22⋊Q8C2318yes—
291C22⋊Q8C2314yes—
292C22⋊Q8C2314yes—
293C22⋊Q8C2314yes—
294C22⋊Q8C2314yes—
295C22⋊Q8C2314yes—
296C22⋊Q8C2318yes—
297C22⋊Q8C2318yes—
298C22⋊Q8C2318yes—
299C22⋊Q8C2318yes—
300C22⋊Q8C2318yes—
301C22⋊Q8C2318yes—
302#121C2318yes—
303#121C2318yes—
304#121C2312yes—
305#121C2314yes—
306#121C2318yes—
307#121C2318yes—
308#121C2318yes—
309#121C2314yes—
310#121C2318yes—
311#121C2314yes—
312#121C2314yes—
313#121C2312yes—
314#121C2314yes—
315#121C2314yes—
316#121C2314yes—
317#121C2318yes—
318#121C2318yes—
319#121C2314yes—
320#121C2318yes—
321#121C2318yes—
322#121C2318yes—
323#121C2318yes—
324#120C2318yes—
325#120C2318yes—
326#120C2314yes—
327#120C2314yes—
328#120C2318yes—
329#120C2318yes—
330C4×Q8C2312yes—
331C4×Q8C2312yes—
332C4×Q8C2312yes—
333C4×Q8C2312yes—
334C4×Q8C2312yes—
335C4×Q8C2314yes—
336C4×Q8C2312yes—
337C4×Q8C2314yes—
338C4×Q8C2314yes—
339C4×Q8C2312yes—
340C4×Q8C2314yes—
341C4×Q8C2314yes—
342C4×Q8C2314yes—
343C4×Q8C2314yes—
344C4×Q8C2314yes—
345C4×Q8C2312yes—
346C4×Q8C2312yes—
347C4×Q8C2314yes—
348C4×Q8C2318yes—
349C4×Q8C2314yes—
350C4×Q8C2318yes—
351C4×Q8C2314yes—
352C4×Q8C2314yes—
353C4×D4C2314yes—
354C4×D4C2314yes—
355C4×D4C2314yes—
356C4×D4C2318yes—
357C4×D4C2318yes—
358C4×D4C2314yes—
359C4×D4C2312yes—
360C4×D4C2312yes—
361C4×D4C2314yes—
362C4×D4C2318yes—
363C4×D4C2318yes—
364C4×D4C2314yes—
365C4×D4C2312yes—
366C4×D4C2312yes—
367C4×D4C2314yes—
368C4×D4C2314yes—
369C4×D4C2312yes—
370C4×D4C2314yes—
371C4×D4C2318yes—
372C4×D4C2314yes—
373C4×D4C2314yes—
374C4×D4C2314yes—
375C4×D4C2314yes—
376C4×D4C2318yes—
377C4×D4C2318yes—
378C4×D4C2318yes—
379C4×D4C2314yes—
380C4×D4C2318yes—
381C4×D4C2314yes—
382C4×D4C2318yes—
383C4×D4C2318yes—
384C4×D4C2318yes—
385C4×D4C2314yes—
386C4×D4C2314yes—
387C4×D4C2318yes—
388C4×D4C2318yes—
389C4×D4C2314yes—
390#117C2314yes—
391#117C2318yes—
392#117C2318yes—
393#117C2318yes—
394#117C2312yes—
395#117C2311yescharacteristic
396#117C2314yes—
397#117C2314yes—
398#117C2314yes—
399#117C2318yes—
400#117C2314yes—
401#117C2312yes—
402#117C2318yes—
403#117C2314yes—
404#117C2318yes—
405#117C2312yes—
406#117C2314yes—
407#117C2318yes—
408#117C2318yes—
409#117C2314yes—
410#117C2318yes—
411C2×C4⋊C4C2318yes—
412C2×C4⋊C4C2312yes—
413C2×C4⋊C4C2312yes—
414C2×C4⋊C4C2314yes—
415C2×C4⋊C4C2314yes—
416C2×C4⋊C4C2318yes—
417C2×C22⋊C4C2314yes—
418C2×C22⋊C4C2314yes—
419C2×C22⋊C4C2318yes—
420C2×C22⋊C4C2314yes—
421C2×C22⋊C4C2318yes—
422C2×C22⋊C4C2314yes—
423C2×C22⋊C4C2318yes—
424C2×C22⋊C4C2318yes—
425C2×C42C2318yes—
426C2×C42C2314yes—
427C2×C42C2311yescharacteristic
428C2×C42C2314yes—
429C2×C42C2312yes—
430C2×C42C2314yes—
431C24C2414yes—
432C24C2414yes—
433#41—48no—
434#41—42no—
435#41—48no—
436#41—48no—
437#41—44no—
438#41—48no—
439C2×Q8—44no—
440C2×Q8—48no—
441C2×Q8—44no—
442C2×Q8C2412yes—
443C2×Q8C2412yes—
444C2×Q8C2412yes—
445C2×Q8C2414yes—
446C2×Q8C2414yes—
447C2×Q8C2414yes—
448C2×Q8C2418yes—
449C2×Q8C2414yes—
450C2×Q8C2411yescharacteristic
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—44no—
454C2×D4—48no—
455C2×D4C2412yes—
456C2×D4C2414yes—
457C2×D4C2414yes—
458C2×D4C2412yes—
459C2×D4C2414yes—
460C2×D4C2418yes—
461C2×D4C2414yes—
462C2×D4C2414yes—
463C2×D4C2418yes—
464C2×D4C2418yes—
465C2×D4C2412yes—
466C2×D4C2418yes—
467C2×D4C2418yes—
468C2×D4C2418yes—
469C2×D4C2414yes—
470C2×D4C2412yes—
471C2×D4C2411yescharacteristic
472C22×C4—48no—
473C22×C4C2412yes—
474C22×C4C2412yes—
475C22×C4C2414yes—
476C22×C4C2411yescharacteristic
477C22×C4C2412yes—
478C22×C4C2414yes—
479C22×C4C2414yes—
480C22×C4C2414yes—
481C22×C4C2414yes—
482C22×C4C2414yes—
483C22×C4C2418yes—
484C22×C4C2418yes—
485C22×C4C2414yes—
486C22×C4C2412yes—
487C22×C4C2414yes—
488C22×C4C2418yes—
489C22×C4C2418yes—
490C22×C4C2418yes—
491C22×C4C2414yes—
492C22×C4C2414yes—
493C4⋊C4C2414yes—
494C4⋊C4C2412yes—
495C4⋊C4C2414yes—
496C4⋊C4C2414yes—
497C4⋊C4C2414yes—
498C4⋊C4C2414yes—
499C4⋊C4C2414yes—
500C4⋊C4C2418yes—
501C4⋊C4C2414yes—
502C4⋊C4C2418yes—
503C4⋊C4C2418yes—
504C4⋊C4C2412yes—
505C4⋊C4C2414yes—
506C4⋊C4C2412yes—
507C4⋊C4C2418yes—
508C4⋊C4C2414yes—
509C4⋊C4C2414yes—
510C4⋊C4C2414yes—
511C4⋊C4C2414yes—
512C4⋊C4C2414yes—
513C4⋊C4C2412yes—
514C4⋊C4C2414yes—
515C4⋊C4C2412yes—
516C4⋊C4C2412yes—
517C4⋊C4C2414yes—
518C4⋊C4C2414yes—
519C4⋊C4C2418yes—
520C4⋊C4C2414yes—
521C4⋊C4C2414yes—
522C4⋊C4C2414yes—
523C4⋊C4C2418yes—
524C4⋊C4C2418yes—
525C4⋊C4C2414yes—
526C4⋊C4C2414yes—
527C4⋊C4C2412yes—
528C4⋊C4C2414yes—
529C4⋊C4C2418yes—
530C4⋊C4C2414yes—
531C4⋊C4C2418yes—
532C22⋊C4C2411yescharacteristic
533C22⋊C4C2411yescharacteristic
534C22⋊C4C2414yes—
535C22⋊C4C2414yes—
536C22⋊C4C2418yes—
537C22⋊C4C2418yes—
538C22⋊C4C2414yes—
539C22⋊C4C2418yes—
540C22⋊C4C2414yes—
541C22⋊C4C2414yes—
542C22⋊C4C2418yes—
543C22⋊C4C2414yes—
544C22⋊C4C2418yes—
545C22⋊C4C2414yes—
546C22⋊C4C2414yes—
547C22⋊C4C2418yes—
548C22⋊C4C2418yes—
549C22⋊C4C2418yes—
550C22⋊C4C2418yes—
551C22⋊C4C2418yes—
552C22⋊C4C2414yes—
553C22⋊C4C2418yes—
554C22⋊C4C2414yes—
555C22⋊C4C2412yes—
556C22⋊C4C2414yes—
557C22⋊C4C2414yes—
558C22⋊C4C2414yes—
559C22⋊C4C2414yes—
560C22⋊C4C2414yes—
561C22⋊C4C2418yes—
562C22⋊C4C2418yes—
563C22⋊C4C2418yes—
564C22⋊C4C2412yes—
565C22⋊C4C2414yes—
566C22⋊C4C2414yes—
567C22⋊C4C2414yes—
568C42C2414yes—
569C42C2414yes—
570C42C2414yes—
571C42C2412yes—
572C42C2411yescharacteristic
573C42C2412yes—
574C42C2414yes—
575C42C2418yes—
576C42C2418yes—
577C42C2414yes—
578C42C2414yes—
579C42C2412yes—
580C42C2414yes—
581C42C2414yes—
582C42C2412yes—
583C42C2411yescharacteristic
584C42C2414yes—
585C42C2418yes—
586C42C2414yes—
587C23—28no—
588C23—48no—
589C23—48no—
590C23—44no—
591C23C2514yes—
592C23C2514yes—
593C23C2514yes—
594C23C2512yes—
595C23C2511yescharacteristic
596Q8—24no—
597Q8—24no—
598Q8—28no—
599Q8—24no—
600Q8—44no—
601Q8—48no—
602Q8—44no—
603Q8—44no—
604Q8—41no—
605D4—28no—
606D4—24no—
607D4—28no—
608D4—24no—
609D4—28no—
610D4—42no—
611D4—42no—
612D4—48no—
613D4—44no—
614D4—48no—
615D4—48no—
616D4—44no—
617D4—41no—
618D4—48no—
619D4—48no—
620D4—48no—
621D4—44no—
622C2×C4—28no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—28no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—44no—
629C2×C4—48no—
630C2×C4—44no—
631C2×C4—44no—
632C2×C4—44no—
633C2×C4—48no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—48no—
638C2×C4—44no—
639C2×C4—48no—
640C2×C4—42no—
641C2×C4—48no—
642C2×C4C2512yes—
643C2×C4C2514yes—
644C2×C4C2512yes—
645C2×C4C2511yescharacteristic
646C2×C4C2514yes—
647C2×C4C2512yes—
648C2×C4C2514yes—
649C2×C4C2514yes—
650C2×C4C2514yes—
651C2×C4C2518yes—
652C2×C4C2514yes—
653C2×C4C2511yescharacteristic
654C2×C4C2512yes—
655C2×C4C2514yes—
656C2×C4C2512yes—
657C22—22no—
658C22—22no—
659C22—24no—
660C22—22no—
661C22—22no—
662C22—24no—
663C22—28no—
664C22—24no—
665C22—28no—
666C22—24no—
667C22—24no—
668C22—88no—
669C22—164no—
670C22#58512yes—
671C22C2611yescharacteristic
672C4—24no—
673C4—22no—
674C4—24no—
675C4—22no—
676C4—21no—
677C4—24no—
678C4—21no—
679C4—22no—
680C4—24no—
681C4—22no—
682C4—24no—
683C4—28no—
684C4—24no—
685C4—24no—
686C4#58514yes—
687C2—22no—
688C2—42no—
689C2—44no—
690C2—44no—
691C2—44no—
692C2C2×#58511yescharacteristic
693C2C2×#58512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC22C26
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ G
LECSG ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #3566C2semidirect
2. #3562C2semidirect
3. #3561C2semidirect
4. #3557C2semidirect
5. #3554C2semidirect
6. #3543C2semidirect
7. #3533C2semidirect
8. #3524C2semidirect
9. #3523C2semidirect
10. #3514C2semidirect
11. #3514C2semidirect
12. #3513C2semidirect
13. #3510C2semidirect
14. #3508C2semidirect
15. #3507C2semidirect
16. #3491C2semidirect
17. #3482C2semidirect
18. #3480C2semidirect
19. C2×#559C2semidirect
20. #3475C2semidirect
21. #563C22semidirect
22. #563C22semidirect
23. #562C22semidirect
24. #562C22semidirect
26. #560C22semidirect
29. #559C22semidirect
30. #559C22semidirect
31. #559C22semidirect
32. #559C22semidirect
33. #559C22semidirect
34. #559C22semidirect
35. #559C22semidirect
36. #559C22semidirect
37. #559C22semidirect
38. #557C22semidirect
39. #557C22semidirect
40. #557C22semidirect
41. #557C22semidirect
42. #556C22semidirect
43. #556C22semidirect
44. #556C22semidirect
45. #556C22semidirect
46. #556C22semidirect
47. #556C22semidirect
48. #556C22semidirect
49. #556C22semidirect
50. #555C22semidirect
51. #555C22semidirect
52. #554C22semidirect
53. #554C22semidirect
54. #553C22semidirect
55. #553C22semidirect
56. #553C22semidirect
57. #553C22semidirect
58. #552C22semidirect
59. #552C22semidirect
60. #552C22semidirect
61. #552C22semidirect
62. #552C22semidirect
63. #552C22semidirect
64. #552C22semidirect
65. #552C22semidirect
66. #552C22semidirect
67. #551C22semidirect
68. #551C22semidirect
69. #551C22semidirect
70. #551C22semidirect
71. #551C22semidirect
72. #551C22semidirect
73. #551C22semidirect
74. #551C22semidirect
76. #550C22semidirect
77. D4×Q8C22semidirect
78. D4×Q8C22semidirect
79. D4×Q8C22semidirect
81. #548C22semidirect
82. #548C22semidirect
83. #548C22semidirect
84. #548C22semidirect
86. #547C22semidirect
87. #547C22semidirect
89. #546C22semidirect
90. #546C22semidirect
91. #546C22semidirect
92. #546C22semidirect
93. #546C22semidirect
96. #543C22semidirect
97. #542C22semidirect
98. #542C22semidirect
99. #542C22semidirect
100. #542C22semidirect
101. #542C22semidirect
102. #542C22semidirect
103. #542C22semidirect
104. #541C22semidirect
105. #541C22semidirect
107. #540C22semidirect
108. #540C22semidirect
109. #540C22semidirect
110. #539C22semidirect
111. #539C22semidirect
112. #539C22semidirect
113. #539C22semidirect
114. #538C22semidirect
115. #538C22semidirect
116. #538C22semidirect
117. #538C22semidirect
118. #536C22semidirect
119. #536C22semidirect
121. #535C22semidirect
123. #533C22semidirect
124. #533C22semidirect
125. #533C22semidirect
126. #533C22semidirect
128. #532C22semidirect
129. #532C22semidirect
133. #529C22semidirect
134. #529C22semidirect
135. #529C22semidirect
136. #529C22semidirect
137. #529C22semidirect
138. #529C22semidirect
139. #529C22semidirect
140. #529C22semidirect
141. #529C22semidirect
142. #529C22semidirect
143. #529C22semidirect
144. C2×#124C22semidirect
145. C2×#124C22semidirect
146. #525C22semidirect
147. C2×#123C22semidirect
148. C2×#123C22semidirect
149. #520C22semidirect
150. #519C22semidirect
151. #518C22semidirect
152. #518C22semidirect
153. #518C22semidirect
154. C4×#41C22semidirect
155. C4×#41C22semidirect
156. C4×#41C22semidirect
157. C4×#41C22semidirect
158. C4×#41C22semidirect
159. C2×C4×Q8C22semidirect
160. C2×C4×Q8C22semidirect
161. C2×C4×D4C22semidirect
162. C2×#117C22semidirect

Maximal subgroups

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

subgroupindex
#35662
#35622
#35612
#35572
#35542
#35432
#35332
#35242
#35232
#35142
#35132
#35102
#35082
#35072
#34912
#34822
#34802
C2×#5592
#34752