Finite Group Databasebeta

← #62762

Subgroups — #62762

Order 256.

3312 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3566C218yesmaximal, complemented
2#3565C214yesmaximal, complemented
3#3562C214yesmaximal, complemented
4#3555C212yesmaximal, complemented
5#3554C212yesmaximal, complemented
6#3547C212yesmaximal, complemented
7#3546C212yesmaximal, complemented
8#3540C214yesmaximal, complemented
9#3539C214yesmaximal, complemented
10#3529C214yesmaximal, complemented
11#3483C211yesmaximal, characteristic, complemented
12#3482C212yesmaximal, complemented
13#3481C211yesmaximal, characteristic, complemented
14#3480C214yesmaximal, complemented
15#3475C214yesmaximal, complemented
16#3461C214yesmaximal, complemented
17#3460C214yesmaximal, complemented
18#3455C214yesmaximal, complemented
19#3444C212yesmaximal, complemented
20#3444C211yesmaximal, characteristic, complemented
21#563C2218yescomplemented
22#563C2214yescomplemented
23#562C2218yescomplemented
24#562C2218yescomplemented
25#562C2218yescomplemented
26H(3,𝔽4)C2214yescomplemented
27#560C2218yes—
28#560C2214yescomplemented
29#560C2218yescomplemented
30#560C2214yescomplemented
31#559C2218yescomplemented
32#559C2214yescomplemented
33#559C2211yescharacteristic, complemented
34Q82C2211yescharacteristic, complemented
35#557C2214yescomplemented
36#557C2212yescomplemented
37#556C2214yescomplemented
38#556C2214yescomplemented
39#556C2218yescomplemented
40#556C2214yescomplemented
41#556C2212yescomplemented
42#555C2214yes—
43#555C2214yescomplemented
44#555C2211yescharacteristic, complemented
45#555C2214yescomplemented
46#554C2214yescomplemented
47#554C2212yescomplemented
48#553C2214yes—
49#553C2218yescomplemented
50#553C2214yescomplemented
51#553C2218yescomplemented
52#553C2214yescomplemented
53#553C2218yescomplemented
54#552C2214yescomplemented
55#552C2214yescomplemented
56#552C2218yescomplemented
57#552C2214yescomplemented
58#552C2218yescomplemented
59#551C2218yescomplemented
60#551C2218yescomplemented
61#551C2214yescomplemented
62#550C2214yes—
63#550C2214yescomplemented
64#550C2212yescomplemented
65D4×Q8C2212yescomplemented
66#548C2214yes—
67#548C2214yescomplemented
68#548C2214yescomplemented
69#547C2214yescomplemented
70#547C2214yescomplemented
71#547C2212yescomplemented
72#546C2214yes—
73#546C2214yes—
74#546C2214yescomplemented
75D42C2211yescharacteristic, complemented
76#544C2214yescomplemented
77#544C2214yescomplemented
78#542C2214yes—
79#542C2218yescomplemented
80#542C2218yescomplemented
81#542C2214yescomplemented
82#542C2218yescomplemented
83#542C2214yescomplemented
84#542C2218yescomplemented
85#542C2214yescomplemented
86#541C2218yescomplemented
87#541C2214yescomplemented
88#541C2214yescomplemented
89#541C2218yescomplemented
90#540C2218yescomplemented
91#540C2214yescomplemented
92#540C2218yescomplemented
93#540C2214yescomplemented
94#539C2218yescomplemented
95#539C2218yescomplemented
96#539C2218yescomplemented
97#539C2218yescomplemented
98#538C2218yescomplemented
99#538C2218yescomplemented
100#538C2218yescomplemented
101#538C2218yescomplemented
102#537C2214yes—
103#537C2214yescomplemented
104#536C2214yescomplemented
105#536C2214yescomplemented
106#535C2214yes—
107#535C2214yescomplemented
108#533C2212yescomplemented
109#533C2211yescharacteristic, complemented
110#533C2212yescomplemented
111#533C2212yescomplemented
112#533C2212yescomplemented
113#533C2214yescomplemented
114#533C2214yescomplemented
115#532C2212yes—
116#532C2211yescharacteristic
117#532C2212yes—
118#532C2212yes—
119#532C2212yes—
120#532C2214yescomplemented
121#532C2214yescomplemented
122#532C2218yescomplemented
123#529C2212yes—
124#529C2212yes—
125#529C2214yescomplemented
126#529C2214yescomplemented
127#529C2212yescomplemented
128#529C2212yescomplemented
129#529C2214yescomplemented
130#529C2214yescomplemented
131#529C2214yescomplemented
132#529C2214yescomplemented
133#529C2214yescomplemented
134#529C2218yescomplemented
135#529C2218yescomplemented
136#529C2218yescomplemented
137#529C2214yescomplemented
138#529C2218yescomplemented
139#529C2214yescomplemented
140#529C2218yescomplemented
141#525C2212yes—
142#525C2214yes—
143#525C2214yescomplemented
144#525C2212yescomplemented
145#525C2212yescomplemented
146#525C2214yescomplemented
147#525C2214yescomplemented
148#525C2214yescomplemented
149#525C2218yescomplemented
150C4×#41C2212yes—
151C4×#41C2212yescomplemented
152C4×#41C2214yescomplemented
153C4×#41C2214yescomplemented
154C4×#41C2214yescomplemented
155C4×#41C2212yescomplemented
156C4×#41C2214yescomplemented
157C4×#41C2214yescomplemented
158C4×#41C2214yescomplemented
159C2×C4×Q8C2214yescomplemented
160C2×C4×D4C2214yescomplemented
161C2×#117C2214yescomplemented
162C22×C42C2211yescharacteristic, complemented
163C2×#41C2312yes—
164C2×#41C2312yes—
165C2×#41C2314yes—
166C2×#41C2314yes—
167C2×#41C2314yes—
168C2×#41C2312yes—
169C2×#41C2314yes—
170C2×#41C2314yes—
171C2×#41C2314yes—
172C22×Q8C2314yes—
173C22×D4C2314yes—
174C23×C4C2314yes—
175C23×C4C2312yes—
176C23×C4C2311yescharacteristic
177C4⋊Q8C2312yes—
178C4⋊Q8C2312yes—
179C4⋊Q8C2312yes—
180C4⋊Q8C2312yes—
181C4⋊Q8C2311yescharacteristic
182C4⋊Q8C2314yes—
183C4⋊Q8C2314yes—
184C4⋊Q8C2318yes—
185C4⋊Q8C2318yes—
186C4⋊Q8C2314yes—
187C4⋊Q8C2314yes—
188#127C2312yes—
189#127C2311yescharacteristic
190#127C2318yes—
191#127C2314yes—
192#127C2314yes—
193#126C2314yes—
194#126C2314yes—
195#126C2318yes—
196#126C2314yes—
197#126C2314yes—
198#126C2318yes—
199#126C2318yes—
200#126C2318yes—
201#126C2318yes—
202#126C2318yes—
203#126C2318yes—
204#126C2318yes—
205#126C2318yes—
206#126C2318yes—
207#126C2318yes—
208#126C2318yes—
209#126C2318yes—
210#125C2312yes—
211#125C2312yes—
212#125C2314yes—
213#125C2314yes—
214#125C2314yes—
215#125C2312yes—
216#125C2318yes—
217#125C2318yes—
218#125C2318yes—
219#125C2314yes—
220#125C2318yes—
221#125C2318yes—
222#125C2314yes—
223#125C2318yes—
224#125C2318yes—
225#124C2312yes—
226#124C2314yes—
227#124C2314yes—
228#124C2314yes—
229#124C2312yes—
230#124C2312yes—
231#124C2318yes—
232#124C2314yes—
233#124C2314yes—
234#124C2318yes—
235#124C2318yes—
236#124C2318yes—
237#124C2318yes—
238#124C2318yes—
239#124C2318yes—
240#124C2318yes—
241#124C2314yes—
242#124C2314yes—
243#123C2314yes—
244#123C2314yes—
245#123C2314yes—
246#123C2314yes—
247#123C2314yes—
248#123C2318yes—
249#123C2314yes—
250#123C2314yes—
251#123C2314yes—
252#123C2314yes—
253#123C2318yes—
254#123C2318yes—
255#123C2318yes—
256#123C2318yes—
257#123C2318yes—
258#123C2318yes—
259#123C2318yes—
260#123C2318yes—
261#123C2318yes—
262#123C2318yes—
263#123C2318yes—
264#123C2318yes—
265#123C2318yes—
266#123C2318yes—
267#123C2318yes—
268C22⋊Q8C2312yes—
269C22⋊Q8C2312yes—
270C22⋊Q8C2318yes—
271C22⋊Q8C2312yes—
272C22⋊Q8C2312yes—
273C22⋊Q8C2314yes—
274C22⋊Q8C2314yes—
275C22⋊Q8C2314yes—
276C22⋊Q8C2314yes—
277C22⋊Q8C2314yes—
278C22⋊Q8C2314yes—
279C22⋊Q8C2314yes—
280C22⋊Q8C2318yes—
281C22⋊Q8C2318yes—
282C22⋊Q8C2318yes—
283C22⋊Q8C2314yes—
284C22⋊Q8C2318yes—
285C22⋊Q8C2318yes—
286C22⋊Q8C2314yes—
287C22⋊Q8C2318yes—
288C22⋊Q8C2318yes—
289C22⋊Q8C2318yes—
290C22⋊Q8C2318yes—
291C22⋊Q8C2314yes—
292C22⋊Q8C2318yes—
293C22⋊Q8C2314yes—
294C22⋊Q8C2318yes—
295#121C2312yes—
296#121C2312yes—
297#121C2318yes—
298#121C2314yes—
299#121C2312yes—
300#121C2314yes—
301#121C2314yes—
302#121C2314yes—
303#121C2312yes—
304#121C2314yes—
305#121C2314yes—
306#121C2314yes—
307#121C2318yes—
308#121C2318yes—
309#121C2318yes—
310#121C2314yes—
311#121C2318yes—
312#121C2318yes—
313#121C2314yes—
314#121C2318yes—
315#121C2318yes—
316#121C2318yes—
317#121C2314yes—
318#121C2318yes—
319#121C2314yes—
320#121C2318yes—
321#121C2318yes—
322#121C2318yes—
323#121C2318yes—
324#121C2318yes—
325#121C2318yes—
326#120C2314yes—
327#120C2314yes—
328#120C2314yes—
329#120C2314yes—
330#120C2314yes—
331#120C2318yes—
332#120C2318yes—
333#120C2318yes—
334C4×Q8C2312yes—
335C4×Q8C2314yes—
336C4×Q8C2318yes—
337C4×Q8C2314yes—
338C4×Q8C2314yes—
339C4×Q8C2318yes—
340C4×Q8C2312yes—
341C4×Q8C2312yes—
342C4×Q8C2312yes—
343C4×Q8C2314yes—
344C4×Q8C2314yes—
345C4×Q8C2314yes—
346C4×Q8C2314yes—
347C4×Q8C2314yes—
348C4×Q8C2314yes—
349C4×Q8C2314yes—
350C4×Q8C2318yes—
351C4×Q8C2314yes—
352C4×D4C2312yes—
353C4×D4C2314yes—
354C4×D4C2318yes—
355C4×D4C2314yes—
356C4×D4C2314yes—
357C4×D4C2318yes—
358C4×D4C2314yes—
359C4×D4C2314yes—
360C4×D4C2312yes—
361C4×D4C2312yes—
362C4×D4C2314yes—
363C4×D4C2314yes—
364C4×D4C2314yes—
365C4×D4C2314yes—
366C4×D4C2318yes—
367C4×D4C2318yes—
368C4×D4C2314yes—
369C4×D4C2314yes—
370C4×D4C2314yes—
371C4×D4C2318yes—
372C4×D4C2318yes—
373C4×D4C2314yes—
374C4×D4C2314yes—
375C4×D4C2314yes—
376C4×D4C2318yes—
377C4×D4C2314yes—
378C4×D4C2314yes—
379C4×D4C2314yes—
380C4×D4C2314yes—
381C4×D4C2314yes—
382C4×D4C2312yes—
383C4×D4C2314yes—
384C4×D4C2318yes—
385C4×D4C2318yes—
386C4×D4C2318yes—
387C4×D4C2318yes—
388C4×D4C2314yes—
389C4×D4C2318yes—
390C4×D4C2314yes—
391#117C2314yes—
392#117C2318yes—
393#117C2318yes—
394#117C2318yes—
395#117C2312yes—
396#117C2314yes—
397#117C2314yes—
398#117C2314yes—
399#117C2312yes—
400#117C2314yes—
401#117C2312yes—
402#117C2314yes—
403#117C2314yes—
404#117C2314yes—
405#117C2314yes—
406#117C2314yes—
407#117C2318yes—
408#117C2314yes—
409#117C2314yes—
410#117C2314yes—
411#117C2318yes—
412#117C2318yes—
413C2×C4⋊C4C2318yes—
414C2×C4⋊C4C2314yes—
415C2×C4⋊C4C2314yes—
416C2×C4⋊C4C2318yes—
417C2×C22⋊C4C2318yes—
418C2×C22⋊C4C2318yes—
419C2×C42C2314yes—
420C2×C42C2314yes—
421C2×C42C2314yes—
422C2×C42C2314yes—
423C2×C42C2318yes—
424C2×C42C2311yescharacteristic
425C2×C42C2312yes—
426C2×C42C2311yescharacteristic
427C2×C42C2312yes—
428C2×C42C2312yes—
429C2×C42C2312yes—
430C2×C42C2312yes—
431C24C2414yes—
432C24C2411yescharacteristic
433#41—48no—
434#41—44no—
435#41—48no—
436#41—48no—
437#41—44no—
438#41—48no—
439#41—44no—
440#41—48no—
441#41—48no—
442C2×Q8—48no—
443C2×Q8C2412yes—
444C2×Q8C2414yes—
445C2×Q8C2412yes—
446C2×Q8C2418yes—
447C2×Q8C2414yes—
448C2×Q8C2414yes—
449C2×Q8C2412yes—
450C2×Q8C2414yes—
451C2×D4—48no—
452C2×D4C2412yes—
453C2×D4C2414yes—
454C2×D4C2412yes—
455C2×D4C2414yes—
456C2×D4C2414yes—
457C2×D4C2414yes—
458C2×D4C2414yes—
459C2×D4C2418yes—
460C2×D4C2414yes—
461C2×D4C2418yes—
462C2×D4C2414yes—
463C2×D4C2412yes—
464C2×D4C2414yes—
465C2×D4C2418yes—
466C2×D4C2414yes—
467C2×D4C2414yes—
468C2×D4C2418yes—
469C2×D4C2418yes—
470C2×D4C2414yes—
471C22×C4—48no—
472C22×C4—44no—
473C22×C4—42no—
474C22×C4C2412yes—
475C22×C4C2412yes—
476C22×C4C2412yes—
477C22×C4C2414yes—
478C22×C4C2414yes—
479C22×C4C2414yes—
480C22×C4C2414yes—
481C22×C4C2411yescharacteristic
482C22×C4C2412yes—
483C22×C4C2414yes—
484C22×C4C2412yes—
485C22×C4C2412yes—
486C22×C4C2412yes—
487C22×C4C2412yes—
488C22×C4C2411yescharacteristic
489C22×C4C2414yes—
490C22×C4C2418yes—
491C22×C4C2418yes—
492C22×C4C2414yes—
493C22×C4C2418yes—
494C22×C4C2418yes—
495C22×C4C2418yes—
496C22×C4C2414yes—
497C4⋊C4C2414yes—
498C4⋊C4C2414yes—
499C4⋊C4C2412yes—
500C4⋊C4C2412yes—
501C4⋊C4C2414yes—
502C4⋊C4C2414yes—
503C4⋊C4C2414yes—
504C4⋊C4C2418yes—
505C4⋊C4C2418yes—
506C4⋊C4C2418yes—
507C4⋊C4C2418yes—
508C4⋊C4C2418yes—
509C4⋊C4C2418yes—
510C4⋊C4C2418yes—
511C4⋊C4C2412yes—
512C4⋊C4C2414yes—
513C4⋊C4C2412yes—
514C4⋊C4C2414yes—
515C4⋊C4C2414yes—
516C4⋊C4C2414yes—
517C4⋊C4C2414yes—
518C4⋊C4C2414yes—
519C4⋊C4C2418yes—
520C4⋊C4C2414yes—
521C4⋊C4C2418yes—
522C4⋊C4C2418yes—
523C4⋊C4C2414yes—
524C4⋊C4C2414yes—
525C4⋊C4C2414yes—
526C4⋊C4C2418yes—
527C4⋊C4C2414yes—
528C4⋊C4C2418yes—
529C4⋊C4C2414yes—
530C4⋊C4C2414yes—
531C4⋊C4C2414yes—
532C22⋊C4C2414yes—
533C22⋊C4C2414yes—
534C22⋊C4C2414yes—
535C22⋊C4C2418yes—
536C22⋊C4C2418yes—
537C22⋊C4C2418yes—
538C22⋊C4C2418yes—
539C22⋊C4C2418yes—
540C22⋊C4C2414yes—
541C22⋊C4C2414yes—
542C22⋊C4C2414yes—
543C22⋊C4C2414yes—
544C22⋊C4C2414yes—
545C22⋊C4C2414yes—
546C22⋊C4C2418yes—
547C22⋊C4C2414yes—
548C22⋊C4C2414yes—
549C22⋊C4C2414yes—
550C22⋊C4C2414yes—
551C22⋊C4C2414yes—
552C22⋊C4C2418yes—
553C22⋊C4C2418yes—
554C22⋊C4C2418yes—
555C22⋊C4C2414yes—
556C22⋊C4C2414yes—
557C22⋊C4C2418yes—
558C22⋊C4C2414yes—
559C22⋊C4C2414yes—
560C22⋊C4C2414yes—
561C22⋊C4C2418yes—
562C22⋊C4C2414yes—
563C22⋊C4C2414yes—
564C22⋊C4C2418yes—
565C42C2411yescharacteristic
566C42C2412yes—
567C42C2412yes—
568C42C2412yes—
569C42C2411yescharacteristic
570C42C2412yes—
571C42C2412yes—
572C42C2414yes—
573C42C2414yes—
574C42C2418yes—
575C42C2414yes—
576C42C2414yes—
577C42C2414yes—
578C42C2414yes—
579C42C2418yes—
580C42C2418yes—
581C42C2411yescharacteristic
582C42C2412yes—
583C42C2414yes—
584C42C2414yes—
585C42C2414yes—
586C42C2411yescharacteristic
587C23—42no—
588C23—41no—
589C23—44no—
590C23—48no—
591C23C2514yes—
592C23C2512yes—
593C23C2511yescharacteristic
594C23C2514yes—
595C23C2514yes—
596Q8—24no—
597Q8—28no—
598Q8—24no—
599Q8—48no—
600Q8—44no—
601Q8—44no—
602Q8—42no—
603Q8—44no—
604D4—24no—
605D4—28no—
606D4—24no—
607D4—48no—
608D4—44no—
609D4—44no—
610D4—44no—
611D4—44no—
612D4—44no—
613D4—42no—
614D4—44no—
615D4—44no—
616D4—44no—
617D4—48no—
618D4—48no—
619D4—44no—
620D4—48no—
621D4—48no—
622D4—44no—
623C2×C4—28no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—28no—
629C2×C4—24no—
630C2×C4—28no—
631C2×C4—28no—
632C2×C4—28no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—44no—
637C2×C4—48no—
638C2×C4—42no—
639C2×C4—41no—
640C2×C4—48no—
641C2×C4—44no—
642C2×C4—48no—
643C2×C4—44no—
644C2×C4—48no—
645C2×C4—48no—
646C2×C4C2512yes—
647C2×C4C2512yes—
648C2×C4C2514yes—
649C2×C4C2514yes—
650C2×C4C2514yes—
651C2×C4C2511yescharacteristic
652C2×C4C2512yes—
653C2×C4C2512yes—
654C2×C4C2514yes—
655C2×C4C2518yes—
656C2×C4C2514yes—
657C2×C4C2514yes—
658C2×C4C2514yes—
659C2×C4C2512yes—
660C2×C4C2511yescharacteristic
661C22—24no—
662C22—24no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—21no—
668C22—24no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—28no—
673C22—24no—
674C22—44no—
675C22—88no—
676C22C2611yescharacteristic
677C4—22no—
678C4—22no—
679C4—24no—
680C4—24no—
681C4—22no—
682C4—24no—
683C4—21no—
684C4—22no—
685C4—24no—
686C4—24no—
687C4—24no—
688C4—28no—
689C4—24no—
690C4#58512yes—
691C4#58514yes—
692C2—44no—
693C2—41no—
694C2—42no—
695C2—44no—
696C2—44no—
697C2C2×#58512yes—
698C2C2×#58511yescharacteristic
subgroupG/H
centerC2×C4C25
commutator, Frattini, socle, cosocleC22C26
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #3566C2semidirect
2. #3565C2semidirect
3. #3562C2semidirect
4. #3555C2semidirect
5. #3554C2semidirect
6. #3547C2semidirect
7. #3546C2semidirect
8. #3540C2semidirect
9. #3539C2semidirect
10. #3529C2semidirect
11. #3483C2semidirect
12. #3482C2semidirect
13. #3481C2semidirect
14. #3480C2semidirect
15. #3475C2semidirect
16. #3461C2semidirect
17. #3460C2semidirect
18. #3455C2semidirect
19. #3444C2semidirect
20. #3444C2semidirect
21. #563C22semidirect
22. #563C22semidirect
23. #562C22semidirect
24. #562C22semidirect
25. #562C22semidirect
26. H(3,𝔽4)C22semidirect
28. #560C22semidirect
29. #560C22semidirect
30. #560C22semidirect
31. #559C22semidirect
32. #559C22semidirect
33. #559C22semidirect
34. Q82C22semidirect
35. #557C22semidirect
36. #557C22semidirect
37. #556C22semidirect
38. #556C22semidirect
39. #556C22semidirect
40. #556C22semidirect
41. #556C22semidirect
43. #555C22semidirect
44. #555C22semidirect
45. #555C22semidirect
46. #554C22semidirect
47. #554C22semidirect
49. #553C22semidirect
50. #553C22semidirect
51. #553C22semidirect
52. #553C22semidirect
53. #553C22semidirect
54. #552C22semidirect
55. #552C22semidirect
56. #552C22semidirect
57. #552C22semidirect
58. #552C22semidirect
59. #551C22semidirect
60. #551C22semidirect
61. #551C22semidirect
63. #550C22semidirect
64. #550C22semidirect
65. D4×Q8C22semidirect
67. #548C22semidirect
68. #548C22semidirect
69. #547C22semidirect
70. #547C22semidirect
71. #547C22semidirect
74. #546C22semidirect
75. D42C22semidirect
76. #544C22semidirect
77. #544C22semidirect
79. #542C22semidirect
80. #542C22semidirect
81. #542C22semidirect
82. #542C22semidirect
83. #542C22semidirect
84. #542C22semidirect
85. #542C22semidirect
86. #541C22semidirect
87. #541C22semidirect
88. #541C22semidirect
89. #541C22semidirect
90. #540C22semidirect
91. #540C22semidirect
92. #540C22semidirect
93. #540C22semidirect
94. #539C22semidirect
95. #539C22semidirect
96. #539C22semidirect
97. #539C22semidirect
98. #538C22semidirect
99. #538C22semidirect
100. #538C22semidirect
101. #538C22semidirect
103. #537C22semidirect
104. #536C22semidirect
105. #536C22semidirect
107. #535C22semidirect
108. #533C22semidirect
109. #533C22semidirect
110. #533C22semidirect
111. #533C22semidirect
112. #533C22semidirect
113. #533C22semidirect
114. #533C22semidirect
120. #532C22semidirect
121. #532C22semidirect
122. #532C22semidirect
125. #529C22semidirect
126. #529C22semidirect
127. #529C22semidirect
128. #529C22semidirect
129. #529C22semidirect
130. #529C22semidirect
131. #529C22semidirect
132. #529C22semidirect
133. #529C22semidirect
134. #529C22semidirect
135. #529C22semidirect
136. #529C22semidirect
137. #529C22semidirect
138. #529C22semidirect
139. #529C22semidirect
140. #529C22semidirect
143. #525C22semidirect
144. #525C22semidirect
145. #525C22semidirect
146. #525C22semidirect
147. #525C22semidirect
148. #525C22semidirect
149. #525C22semidirect
151. C4×#41C22semidirect
152. C4×#41C22semidirect
153. C4×#41C22semidirect
154. C4×#41C22semidirect
155. C4×#41C22semidirect
156. C4×#41C22semidirect
157. C4×#41C22semidirect
158. C4×#41C22semidirect
159. C2×C4×Q8C22semidirect
160. C2×C4×D4C22semidirect
161. C2×#117C22semidirect
162. C22×C42C22semidirect

Maximal subgroups

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

subgroupindex
#35662
#35652
#35622
#35552
#35542
#35472
#35462
#35402
#35392
#35292
#34832
#34822
#34812
#34802
#34752
#34612
#34602
#34552
#34442