Finite Group Databasebeta

← #62922

Subgroups — #62922

Order 256.

3536 conjugacy classes of subgroups.

The subgroup lattice has 683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3562C216yesmaximal, complemented
2#3552C213yesmaximal, complemented
3#3551C216yesmaximal, complemented
4#3548C213yesmaximal, complemented
5#3546C213yesmaximal, complemented
6#3546C213yesmaximal, complemented
7#3541C216yesmaximal, complemented
8#3539C216yesmaximal, complemented
9#3523C211yesmaximal, characteristic, complemented
10#3520C213yesmaximal, complemented
11#3517C213yesmaximal, complemented
12#3517C211yesmaximal, characteristic, complemented
13#3516C212yesmaximal, complemented
14#3511C213yesmaximal, complemented
15#3499C211yesmaximal, characteristic, complemented
16#3497C212yesmaximal, complemented
17#3497C211yesmaximal, characteristic, complemented
18#3489C212yesmaximal, complemented
19#3487C212yesmaximal, complemented
20#3482C211yesmaximal, characteristic, complemented
21#3480C211yesmaximal, characteristic, complemented
22D4×#41C211yesmaximal, characteristic, complemented
23#3460C213yesmaximal, complemented
24C2×2−1+4C2212yescomplemented
25C2×2−1+4C2212yescomplemented
26C22×#41C2212yes—
27#563C22112yescomplemented
28#562C22112yescomplemented
29#560C22112yescomplemented
30#560C22112yescomplemented
31#559C2213yescomplemented
32#557C2211yescharacteristic, complemented
33#557C2211yescharacteristic, complemented
34#557C2213yescomplemented
35#556C2213yes—
36#556C2213yescomplemented
37#556C2213yescomplemented
38#556C2216yescomplemented
39#555C2216yescomplemented
40#554C2216yescomplemented
41#554C2216yescomplemented
42#554C2216yescomplemented
43#553C2213yescomplemented
44#553C2213yescomplemented
45#553C2216yescomplemented
46#553C2216yescomplemented
47#553C2216yescomplemented
48#553C22112yescomplemented
49#553C2216yescomplemented
50#553C2216yescomplemented
51#552C2216yescomplemented
52#552C2216yescomplemented
53#552C2216yescomplemented
54#551C22112yescomplemented
55#550C2211yescharacteristic
56#550C2211yescharacteristic
57#550C2212yescomplemented
58#550C2216yescomplemented
59#550C2216yescomplemented
60#550C2213yescomplemented
61#550C2216yescomplemented
62#550C2213yescomplemented
63#550C2216yescomplemented
64D4×Q8C2211yescharacteristic
65D4×Q8C2211yescharacteristic, complemented
66D4×Q8C2212yescomplemented
67D4×Q8C2212yescomplemented
68D4×Q8C2213yescomplemented
69D4×Q8C2216yescomplemented
70#548C2212yes—
71#548C2211yescharacteristic
72#548C2212yes—
73#548C2211yescharacteristic, complemented
74#548C2212yescomplemented
75#548C2216yescomplemented
76#548C2216yescomplemented
77#548C2216yescomplemented
78#548C2216yescomplemented
79#548C2216yescomplemented
80#547C2213yes—
81#547C2213yes—
82#547C2213yescomplemented
83#547C2216yescomplemented
84#547C2216yescomplemented
85#547C2213yescomplemented
86#547C2216yescomplemented
87#547C2213yescomplemented
88#546C2216yes—
89#546C2216yes—
90#546C2216yescomplemented
91#546C2216yescomplemented
92D42C2213yes—
93#544C2213yescomplemented
94#542C2213yes—
95#542C2213yescomplemented
96#542C2216yescomplemented
97#542C2216yescomplemented
98#542C2216yescomplemented
99#541C2216yescomplemented
100#541C2216yescomplemented
101#540C2211yescharacteristic
102#540C2213yescomplemented
103#540C2216yescomplemented
104#540C2216yescomplemented
105#540C22112yescomplemented
106#540C22112yescomplemented
107#539C22112yescomplemented
108#539C22112yescomplemented
109#538C2216yescomplemented
110#538C2216yescomplemented
111#538C22112yescomplemented
112#538C22112yescomplemented
113#537C2213yescomplemented
114#537C2216yescomplemented
115#537C2216yescomplemented
116#537C2216yescomplemented
117#537C2216yescomplemented
118#537C2216yescomplemented
119#536C2216yescomplemented
120#536C2216yescomplemented
121#535C2213yes—
122#535C2213yes—
123#535C2216yescomplemented
124#535C2216yescomplemented
125#533C2213yescomplemented
126#533C2213yescomplemented
127#532C2213yes—
128#532C2213yes—
129#532C2213yescomplemented
130#532C2216yescomplemented
131#532C2213yescomplemented
132#532C2213yescomplemented
133#532C2216yescomplemented
134#532C2213yescomplemented
135C2×C4⋊Q8C2213yescomplemented
136#529C2213yes—
137#529C2216yescomplemented
138#529C2213yescomplemented
139#529C2213yescomplemented
140#529C2213yescomplemented
141#529C2216yescomplemented
142#529C2216yescomplemented
143#525C2216yes—
144#525C2216yescomplemented
145#525C2216yescomplemented
146#525C2216yescomplemented
147C2×C22⋊Q8C2216yescomplemented
148#520C2212yescomplemented
149#520C2216yescomplemented
150#519C2212yescomplemented
151C4×#41C2211yescharacteristic
152C4×#41C2213yescomplemented
153C4×#41C2213yescomplemented
154C4×#41C2211yescharacteristic, complemented
155C2×C4×Q8C2211yescharacteristic, complemented
156C2×C4×Q8C2212yescomplemented
157C2×C4×D4C2213yes—
1582−1+4—48no—
1592−1+4—48no—
160C2×#41—48no—
161C2×#41C2311yescharacteristic
162C2×#41C2311yescharacteristic
163C2×#41C2312yes—
164C2×#41C2313yes—
165C2×#41C2313yes—
166C2×#41C2316yes—
167C2×#41C2316yes—
168C2×#41C2316yes—
169C2×#41C2316yes—
170C2×#41C2316yes—
171C2×#41C2316yes—
172C2×#41C2316yes—
173C2×#41C2316yes—
174C2×#41C2316yes—
175C22×Q8C2311yescharacteristic
176C22×Q8C2312yes—
177C22×Q8C2312yes—
178C22×Q8C2316yes—
179C22×Q8C2316yes—
180C22×D4C2313yes—
181C22×D4C2316yes—
182C23×C4C2316yes—
183C4⋊Q8C2313yes—
184C4⋊Q8C2313yes—
185C4⋊Q8C2313yes—
186C4⋊Q8C2316yes—
187C4⋊Q8C2316yes—
188C4⋊Q8C2313yes—
189C4⋊Q8C2316yes—
190C4⋊Q8C2313yes—
191C4⋊Q8C2313yes—
192C4⋊Q8C2316yes—
193#127C2311yescharacteristic
194#127C2313yes—
195#127C2313yes—
196#127C2316yes—
197#127C2313yes—
198#127C2316yes—
199#127C23112yes—
200#126C2316yes—
201#126C2316yes—
202#126C23112yes—
203#126C2316yes—
204#126C2316yes—
205#126C2316yes—
206#126C2316yes—
207#126C23112yes—
208#126C23112yes—
209#126C23112yes—
210#125C2313yes—
211#125C2311yescharacteristic
212#125C2313yes—
213#125C2316yes—
214#125C2316yes—
215#125C2313yes—
216#125C2316yes—
217#125C2316yes—
218#125C23112yes—
219#125C23112yes—
220#124C2313yes—
221#124C2316yes—
222#124C2313yes—
223#124C2313yes—
224#124C2316yes—
225#124C2316yes—
226#124C2313yes—
227#124C2316yes—
228#124C2316yes—
229#124C2316yes—
230#124C2316yes—
231#124C2316yes—
232#124C2316yes—
233#124C23112yes—
234#123C23112yes—
235#123C2316yes—
236#123C2312yes—
237#123C2316yes—
238#123C2316yes—
239#123C2316yes—
240#123C2312yes—
241#123C2316yes—
242#123C2316yes—
243#123C23112yes—
244#123C2316yes—
245#123C2316yes—
246#123C23112yes—
247#123C23112yes—
248#123C23112yes—
249#123C23112yes—
250#123C23112yes—
251#123C23112yes—
252C22⋊Q8C2316yes—
253C22⋊Q8C2313yes—
254C22⋊Q8C2316yes—
255C22⋊Q8C23112yes—
256C22⋊Q8C2316yes—
257C22⋊Q8C2316yes—
258C22⋊Q8C2316yes—
259C22⋊Q8C2316yes—
260C22⋊Q8C2316yes—
261C22⋊Q8C2316yes—
262C22⋊Q8C2316yes—
263C22⋊Q8C2316yes—
264C22⋊Q8C2313yes—
265C22⋊Q8C2316yes—
266C22⋊Q8C2316yes—
267C22⋊Q8C2313yes—
268C22⋊Q8C2313yes—
269C22⋊Q8C2316yes—
270C22⋊Q8C2316yes—
271C22⋊Q8C2316yes—
272C22⋊Q8C23112yes—
273C22⋊Q8C23112yes—
274C22⋊Q8C23112yes—
275C22⋊Q8C23112yes—
276#121C2316yes—
277#121C2316yes—
278#121C2312yes—
279#121C2313yes—
280#121C2316yes—
281#121C2316yes—
282#121C2316yes—
283#121C2316yes—
284#121C2311yescharacteristic
285#121C2313yes—
286#121C2316yes—
287#121C2313yes—
288#121C2316yes—
289#121C2316yes—
290#121C2313yes—
291#121C2313yes—
292#121C2316yes—
293#121C2316yes—
294#121C2316yes—
295#121C2313yes—
296#121C2311yescharacteristic
297#121C2312yes—
298#121C2316yes—
299#121C2316yes—
300#121C2316yes—
301#121C2316yes—
302#121C2316yes—
303#121C2313yes—
304#121C2313yes—
305#121C23112yes—
306#121C2316yes—
307#121C2316yes—
308#121C2316yes—
309#121C23112yes—
310#121C23112yes—
311#121C23112yes—
312#121C23112yes—
313#121C23112yes—
314#121C23112yes—
315#121C23112yes—
316#121C23112yes—
317#120C23112yes—
318#120C2316yes—
319#120C2316yes—
320#120C2316yes—
321#120C2316yes—
322#120C23112yes—
323C4×Q8C2311yescharacteristic
324C4×Q8C2311yescharacteristic
325C4×Q8C2311yescharacteristic
326C4×Q8C2312yes—
327C4×Q8C2313yes—
328C4×Q8C2316yes—
329C4×Q8C2313yes—
330C4×Q8C2316yes—
331C4×Q8C2313yes—
332C4×Q8C2311yescharacteristic
333C4×Q8C2313yes—
334C4×Q8C2313yes—
335C4×Q8C2313yes—
336C4×Q8C2316yes—
337C4×Q8C2316yes—
338C4×Q8C2316yes—
339C4×D4C2311yescharacteristic
340C4×D4C2313yes—
341C4×D4C2316yes—
342C4×D4C2313yes—
343C4×D4C2316yes—
344C4×D4C2313yes—
345C4×D4C2313yes—
346C4×D4C2313yes—
347C4×D4C2311yescharacteristic
348C4×D4C2313yes—
349C4×D4C2316yes—
350C4×D4C2313yes—
351C4×D4C2316yes—
352C4×D4C2313yes—
353C4×D4C2313yes—
354C4×D4C2313yes—
355C4×D4C2313yes—
356C4×D4C2313yes—
357C4×D4C2313yes—
358C4×D4C2313yes—
359C4×D4C23112yes—
360C4×D4C2316yes—
361C4×D4C2316yes—
362C4×D4C23112yes—
363C4×D4C2316yes—
364C4×D4C2316yes—
365C4×D4C2316yes—
366C4×D4C2316yes—
367C4×D4C2316yes—
368C4×D4C2316yes—
369C4×D4C23112yes—
370C4×D4C2316yes—
371C4×D4C23112yes—
372C4×D4C2316yes—
373C4×D4C2316yes—
374C4×D4C23112yes—
375#117C2313yes—
376#117C2311yescharacteristic
377#117C2313yes—
378#117C2313yes—
379#117C2313yes—
380#117C2313yes—
381#117C2316yes—
382#117C2316yes—
383#117C2316yes—
384#117C2316yes—
385#117C23112yes—
386#117C2316yes—
387#117C2316yes—
388C2×C4⋊C4C2313yes—
389C2×C4⋊C4C2316yes—
390C2×C4⋊C4C2313yes—
391C2×C4⋊C4C2316yes—
392C2×C4⋊C4C23112yes—
393C2×C4⋊C4C2316yes—
394C2×C4⋊C4C2316yes—
395C2×C22⋊C4C2316yes—
396C2×C22⋊C4C23112yes—
397C2×C42C2313yes—
398C2×C42C2313yes—
399C2×C42C2316yes—
400C2×C42C2313yes—
401C24C2416yes—
402#41—24no—
403#41—28no—
404#41—24no—
405#41—46no—
406#41—412no—
407#41—412no—
408#41—412no—
409#41—412no—
410#41—46no—
411#41—412no—
412#41—412no—
413#41—412no—
414#41—412no—
415#41—412no—
416C2×Q8—28no—
417C2×Q8—24no—
418C2×Q8—28no—
419C2×Q8—412no—
420C2×Q8—412no—
421C2×Q8C2413yes—
422C2×Q8C2413yes—
423C2×Q8C2416yes—
424C2×Q8C2416yes—
425C2×Q8C2413yes—
426C2×Q8C2416yes—
427C2×Q8C2416yes—
428C2×Q8C2411yescharacteristic
429C2×D4—46no—
430C2×D4—412no—
431C2×D4C2411yescharacteristic
432C2×D4C2413yes—
433C2×D4C2411yescharacteristic
434C2×D4C2413yes—
435C2×D4C2416yes—
436C2×D4C2413yes—
437C2×D4C2412yes—
438C2×D4C2412yes—
439C2×D4C2416yes—
440C2×D4C2416yes—
441C2×D4C2416yes—
442C2×D4C2416yes—
443C2×D4C2413yes—
444C2×D4C2416yes—
445C2×D4C2416yes—
446C2×D4C2413yes—
447C2×D4C24112yes—
448C2×D4C2413yes—
449C2×D4C2416yes—
450C2×D4C2412yes—
451C2×D4C2416yes—
452C2×D4C2416yes—
453C2×D4C24112yes—
454C2×D4C2412yes—
455C2×D4C2416yes—
456C22×C4—412no—
457C22×C4C2411yescharacteristic
458C22×C4C2413yes—
459C22×C4C2413yes—
460C22×C4C2413yes—
461C22×C4C2416yes—
462C22×C4C2413yes—
463C22×C4C2413yes—
464C22×C4C2416yes—
465C22×C4C2416yes—
466C22×C4C2412yes—
467C22×C4C2413yes—
468C22×C4C2413yes—
469C22×C4C2416yes—
470C22×C4C2413yes—
471C22×C4C24112yes—
472C22×C4C24112yes—
473C22×C4C2416yes—
474C22×C4C2416yes—
475C22×C4C24112yes—
476C22×C4C2412yes—
477C4⋊C4C2413yes—
478C4⋊C4C2411yescharacteristic
479C4⋊C4C2413yes—
480C4⋊C4C2413yes—
481C4⋊C4C2413yes—
482C4⋊C4C2416yes—
483C4⋊C4C2413yes—
484C4⋊C4C2416yes—
485C4⋊C4C2416yes—
486C4⋊C4C24112yes—
487C4⋊C4C2416yes—
488C4⋊C4C2413yes—
489C4⋊C4C2413yes—
490C4⋊C4C2416yes—
491C4⋊C4C2416yes—
492C4⋊C4C2416yes—
493C4⋊C4C24112yes—
494C4⋊C4C24112yes—
495C4⋊C4C2416yes—
496C4⋊C4C2413yes—
497C4⋊C4C2411yescharacteristic
498C4⋊C4C2412yes—
499C4⋊C4C2416yes—
500C4⋊C4C2411yescharacteristic
501C4⋊C4C2411yescharacteristic
502C4⋊C4C2413yes—
503C4⋊C4C2413yes—
504C4⋊C4C2416yes—
505C4⋊C4C2416yes—
506C4⋊C4C2416yes—
507C4⋊C4C2416yes—
508C4⋊C4C2412yes—
509C4⋊C4C2416yes—
510C4⋊C4C2416yes—
511C22⋊C4C2412yes—
512C22⋊C4C2416yes—
513C22⋊C4C2416yes—
514C22⋊C4C2416yes—
515C22⋊C4C2416yes—
516C22⋊C4C24112yes—
517C22⋊C4C2416yes—
518C22⋊C4C2416yes—
519C22⋊C4C2412yes—
520C22⋊C4C2416yes—
521C22⋊C4C2412yes—
522C22⋊C4C2416yes—
523C22⋊C4C2413yes—
524C22⋊C4C2411yescharacteristic
525C22⋊C4C2413yes—
526C22⋊C4C2411yescharacteristic
527C22⋊C4C2416yes—
528C22⋊C4C2413yes—
529C22⋊C4C2416yes—
530C22⋊C4C2413yes—
531C22⋊C4C24112yes—
532C22⋊C4C2416yes—
533C22⋊C4C2416yes—
534C22⋊C4C2416yes—
535C22⋊C4C2416yes—
536C22⋊C4C24112yes—
537C22⋊C4C2416yes—
538C22⋊C4C2416yes—
539C22⋊C4C2416yes—
540C22⋊C4C2416yes—
541C22⋊C4C2416yes—
542C22⋊C4C2412yes—
543C42C2411yescharacteristic
544C42C2411yescharacteristic
545C42C2413yes—
546C42C2413yes—
547C42C2413yes—
548C42C2416yes—
549C42C2413yes—
550C42C2416yes—
551C42C2413yes—
552C42C2413yes—
553C42C2413yes—
554C42C2416yes—
555C42C2413yes—
556C42C24112yes—
557C23—46no—
558C23—46no—
559C23—46no—
560C23C2512yes—
561C23C2513yes—
562C23C2516yes—
563C23C2511yescharacteristic
564C23C2512yes—
565C23C2513yes—
566Q8—26no—
567Q8—212no—
568Q8—212no—
569Q8—26no—
570Q8—46no—
571Q8—46no—
572Q8—43no—
573Q8H(5,𝔽2)14yes—
574D4—26no—
575D4—212no—
576D4—26no—
577D4—22no—
578D4—26no—
579D4—22no—
580D4—46no—
581D4—412no—
582D4—42no—
583D4—46no—
584D4—42no—
585D4—46no—
586D4—46no—
587D4—46no—
588D4—43no—
589D4—43no—
590D4—43no—
591D4—412no—
592D4—46no—
593D4—42no—
594D4—42no—
595D4—46no—
596D4—46no—
597D4—46no—
598D4—46no—
599C2×C4—26no—
600C2×C4—212no—
601C2×C4—212no—
602C2×C4—26no—
603C2×C4—212no—
604C2×C4—26no—
605C2×C4—26no—
606C2×C4—26no—
607C2×C4—22no—
608C2×C4—42no—
609C2×C4—46no—
610C2×C4—46no—
611C2×C4—43no—
612C2×C4—42no—
613C2×C4—43no—
614C2×C4—43no—
615C2×C4—412no—
616C2×C4—412no—
617C2×C4—412no—
618C2×C4—46no—
619C2×C4C2511yescharacteristic
620C2×C4C2511yescharacteristic
621C2×C4C2512yes—
622C2×C4C2513yes—
623C2×C4C2511yescharacteristic
624C2×C4C2513yes—
625C2×C4C2511yescharacteristic
626C2×C4C2513yes—
627C2×C4C2516yes—
628C2×C4C2511yescharacteristic
629C2×C4C2513yes—
630C2×C4C2516yes—
631C2×C4C2513yes—
632C2×C4C2516yes—
633C2×C4C2512yes—
634C2×C4C2513yes—
635C2×C4C2511yescharacteristic
636C22—22no—
637C22—21no—
638C22—22no—
639C22—23no—
640C22—26no—
641C22—23no—
642C22—21no—
643C22—23no—
644C22—23no—
645C22—22no—
646C22—26no—
647C22—22no—
648C22—21no—
649C22—22no—
650C22—23no—
651C22—23no—
652C22—26no—
653C22—22no—
654C22—812no—
655C22C2611yescharacteristic
656C4—21no—
657C4—22no—
658C4—21no—
659C4—26no—
660C4—26no—
661C4—23no—
662C4—23no—
663C4—23no—
664C4—21no—
665C4—26no—
666C4—21no—
667C4—23no—
668C4—21no—
669C4—22no—
670C4—23no—
671C4C2×H(5,𝔽2)16yes—
672C4#58512yes—
673C2—41no—
674C2—42no—
675C2—43no—
676C2—46no—
677C2—43no—
678C2—42no—
679C2C22×H(5,𝔽2)11yescharacteristic
680C2C2×#58511yescharacteristic
681C22−1+611yescharacteristic
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. #3562C2semidirect
2. #3552C2semidirect
3. #3551C2semidirect
4. #3548C2semidirect
5. #3546C2semidirect
6. #3546C2semidirect
7. #3541C2semidirect
8. #3539C2semidirect
9. #3523C2semidirect
10. #3520C2semidirect
11. #3517C2semidirect
12. #3517C2semidirect
13. #3516C2semidirect
14. #3511C2semidirect
15. #3499C2semidirect
16. #3497C2semidirect
17. #3497C2semidirect
18. #3489C2semidirect
19. #3487C2semidirect
20. #3482C2semidirect
21. #3480C2semidirect
22. D4×#41C2semidirect
23. #3460C2semidirect
24. C2×2−1+4C22semidirect
25. C2×2−1+4C22semidirect
27. #563C22semidirect
28. #562C22semidirect
29. #560C22semidirect
30. #560C22semidirect
31. #559C22semidirect
32. #557C22semidirect
33. #557C22semidirect
34. #557C22semidirect
36. #556C22semidirect
37. #556C22semidirect
38. #556C22semidirect
39. #555C22semidirect
40. #554C22semidirect
41. #554C22semidirect
42. #554C22semidirect
43. #553C22semidirect
44. #553C22semidirect
45. #553C22semidirect
46. #553C22semidirect
47. #553C22semidirect
48. #553C22semidirect
49. #553C22semidirect
50. #553C22semidirect
51. #552C22semidirect
52. #552C22semidirect
53. #552C22semidirect
54. #551C22semidirect
57. #550C22semidirect
58. #550C22semidirect
59. #550C22semidirect
60. #550C22semidirect
61. #550C22semidirect
62. #550C22semidirect
63. #550C22semidirect
65. D4×Q8C22semidirect
66. D4×Q8C22semidirect
67. D4×Q8C22semidirect
68. D4×Q8C22semidirect
69. D4×Q8C22semidirect
73. #548C22semidirect
74. #548C22semidirect
75. #548C22semidirect
76. #548C22semidirect
77. #548C22semidirect
78. #548C22semidirect
79. #548C22semidirect
82. #547C22semidirect
83. #547C22semidirect
84. #547C22semidirect
85. #547C22semidirect
86. #547C22semidirect
87. #547C22semidirect
90. #546C22semidirect
91. #546C22semidirect
93. #544C22semidirect
95. #542C22semidirect
96. #542C22semidirect
97. #542C22semidirect
98. #542C22semidirect
99. #541C22semidirect
100. #541C22semidirect
102. #540C22semidirect
103. #540C22semidirect
104. #540C22semidirect
105. #540C22semidirect
106. #540C22semidirect
107. #539C22semidirect
108. #539C22semidirect
109. #538C22semidirect
110. #538C22semidirect
111. #538C22semidirect
112. #538C22semidirect
113. #537C22semidirect
114. #537C22semidirect
115. #537C22semidirect
116. #537C22semidirect
117. #537C22semidirect
118. #537C22semidirect
119. #536C22semidirect
120. #536C22semidirect
123. #535C22semidirect
124. #535C22semidirect
125. #533C22semidirect
126. #533C22semidirect
129. #532C22semidirect
130. #532C22semidirect
131. #532C22semidirect
132. #532C22semidirect
133. #532C22semidirect
134. #532C22semidirect
135. C2×C4⋊Q8C22semidirect
137. #529C22semidirect
138. #529C22semidirect
139. #529C22semidirect
140. #529C22semidirect
141. #529C22semidirect
142. #529C22semidirect
144. #525C22semidirect
145. #525C22semidirect
146. #525C22semidirect
147. C2×C22⋊Q8C22semidirect
148. #520C22semidirect
149. #520C22semidirect
150. #519C22semidirect
152. C4×#41C22semidirect
153. C4×#41C22semidirect
154. C4×#41C22semidirect
155. C2×C4×Q8C22semidirect
156. C2×C4×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#35622
#35522
#35512
#35482
#35462
#35412
#35392
#35232
#35202
#35172
#35162
#35112
#34992
#34972
#34892
#34872
#34822
#34802
D4×#412
#34602