Finite Group Databasebeta

← #63019

Subgroups — #63019

Order 256.

3631 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3562C216yesmaximal, complemented
2#3554C213yesmaximal, complemented
3#3546C213yesmaximal, complemented
4#3543C213yesmaximal, complemented
5#3542C216yesmaximal, complemented
6#3539C216yesmaximal, complemented
7#3524C212yesmaximal, complemented
8#3523C211yesmaximal, characteristic, complemented
9#3520C213yesmaximal, complemented
10#3517C211yesmaximal, characteristic, complemented
11#3517C213yesmaximal, complemented
12#3508C213yesmaximal, complemented
13#3506C213yesmaximal, complemented
14#3505C216yesmaximal, complemented
15#3497C211yesmaximal, characteristic, complemented
16#3489C212yesmaximal, complemented
17#3487C212yesmaximal, complemented
18#3482C211yesmaximal, characteristic, complemented
19#3481C213yesmaximal, complemented
20#3480C211yesmaximal, characteristic, complemented
21D4×#41C212yesmaximal, complemented
22D4×#41C211yesmaximal, characteristic, complemented
23C2×#550C211yesmaximal, characteristic, complemented
24C2×2−1+4C2212yescomplemented
25C22×#41C2212yescomplemented
26C22×#41C2212yescomplemented
27#562C22112yescomplemented
28#560C22112yescomplemented
29#560C22112yescomplemented
30#559C2213yescomplemented
31#559C2213yescomplemented
32#559C2216yescomplemented
33#559C2216yescomplemented
34#557C2211yescharacteristic, complemented
35#557C2211yescharacteristic, complemented
36#557C2213yescomplemented
37#556C2213yescomplemented
38#556C2213yescomplemented
39#556C2213yescomplemented
40#555C2216yescomplemented
41#554C2213yescomplemented
42#554C2213yescomplemented
43#553C2211yescharacteristic
44#553C2216yescomplemented
45#553C2213yescomplemented
46#553C2216yescomplemented
47#553C22112yescomplemented
48#553C2216yescomplemented
49#553C22112yescomplemented
50#553C2216yescomplemented
51#552C2213yescomplemented
52#552C2213yescomplemented
53#552C2216yescomplemented
54#552C2216yescomplemented
55#551C2216yescomplemented
56#551C2216yescomplemented
57#551C22112yescomplemented
58#550C2211yescharacteristic
59#550C2212yescomplemented
60#550C2211yescharacteristic, complemented
61#550C2213yescomplemented
62#550C2216yescomplemented
63#550C2213yescomplemented
64#550C2212yescomplemented
65#550C2216yescomplemented
66#550C2216yescomplemented
67#550C2213yescomplemented
68#550C2216yescomplemented
69#550C2213yescomplemented
70D4×Q8C2212yescomplemented
71D4×Q8C2211yescharacteristic, complemented
72D4×Q8C2211yescharacteristic, complemented
73D4×Q8C2213yescomplemented
74#548C2211yescharacteristic
75#548C2212yescomplemented
76#548C2212yescomplemented
77#548C2212yescomplemented
78#548C2211yescharacteristic, complemented
79#548C2216yescomplemented
80#548C2216yescomplemented
81#548C2216yescomplemented
82#547C2213yescomplemented
83#547C2216yescomplemented
84#547C2213yescomplemented
85#547C2216yescomplemented
86#547C2216yescomplemented
87#547C2213yescomplemented
88#546C2216yescomplemented
89#546C2216yescomplemented
90#546C2216yescomplemented
91#546C2213yescomplemented
92#546C2216yescomplemented
93#546C2213yescomplemented
94#546C2216yescomplemented
95#546C2216yescomplemented
96#546C2216yescomplemented
97D42C2213yes—
98D42C2216yescomplemented
99D42C2213yescomplemented
100#542C2216yescomplemented
101#542C2216yescomplemented
102#541C2216yescomplemented
103#540C2216yescomplemented
104#540C2216yescomplemented
105#540C22112yescomplemented
106#540C2216yescomplemented
107#540C2216yescomplemented
108#540C2216yescomplemented
109#539C22112yescomplemented
110#539C22112yescomplemented
111#538C22112yescomplemented
112#538C22112yescomplemented
113#537C2216yescomplemented
114#537C2216yescomplemented
115#536C2216yescomplemented
116#535C2216yescomplemented
117#535C2216yescomplemented
118#535C2216yescomplemented
119#535C2216yescomplemented
120#534C22112yescomplemented
121#533C2213yescomplemented
122#533C2213yescomplemented
123#532C2213yescomplemented
124#532C2216yescomplemented
125#532C2213yescomplemented
126#532C2213yescomplemented
127#532C2213yescomplemented
128#532C2213yescomplemented
129C2×#127C2213yescomplemented
130#529C2213yes—
131#529C2216yescomplemented
132#529C2213yescomplemented
133#529C2216yescomplemented
134#529C2213yescomplemented
135#529C2213yescomplemented
136#529C2216yescomplemented
137#525C2216yescomplemented
138#525C2216yescomplemented
139#525C2216yescomplemented
140#525C2216yescomplemented
141#525C2216yescomplemented
142#525C2216yescomplemented
143C2×C22⋊Q8C2216yescomplemented
144C2×#121C2216yescomplemented
145#520C2212yescomplemented
146#520C2216yescomplemented
147#519C2212yescomplemented
148#518C2216yescomplemented
149C4×#41C2212yescomplemented
150C4×#41C2211yescharacteristic, complemented
151C4×#41C2213yescomplemented
152C4×#41C2213yescomplemented
153C2×C4×Q8C2211yescharacteristic, complemented
154C2×C4×Q8C2211yescharacteristic, complemented
155C2×C4×D4C2213yescomplemented
156C2×C4×D4C2216yescomplemented
157C2×C4×D4C2213yescomplemented
1582−1+4—48no—
159C2×#41—48no—
160C2×#41—48no—
161C2×#41C2311yescharacteristic
162C2×#41C2312yes—
163C2×#41C2312yes—
164C2×#41C2313yes—
165C2×#41C2313yes—
166C2×#41C2316yes—
167C2×#41C2316yes—
168C2×#41C2316yes—
169C2×#41C2316yes—
170C2×#41C2316yes—
171C2×#41C2316yes—
172C2×#41C2316yes—
173C2×#41C2316yes—
174C22×Q8C2311yescharacteristic
175C22×Q8C2311yescharacteristic
176C22×Q8C2312yes—
177C22×Q8C2316yes—
178C22×D4C2313yes—
179C22×D4C2316yes—
180C22×D4C2313yes—
181C22×D4C2316yes—
182C22×D4C2316yes—
183C22×D4C2316yes—
184C23×C4C2316yes—
185C23×C4C2316yes—
186C4⋊Q8C2313yes—
187C4⋊Q8C2313yes—
188C4⋊Q8C2316yes—
189C4⋊Q8C2313yes—
190C4⋊Q8C2313yes—
191C4⋊Q8C2313yes—
192#127C2313yes—
193#127C2313yes—
194#127C2316yes—
195#127C2316yes—
196#127C2316yes—
197#127C2313yes—
198#127C2316yes—
199#127C23112yes—
200#126C2316yes—
201#126C2312yes—
202#126C2316yes—
203#126C2316yes—
204#126C23112yes—
205#126C2316yes—
206#126C2316yes—
207#126C23112yes—
208#126C23112yes—
209#125C2313yes—
210#125C2313yes—
211#125C2311yescharacteristic
212#125C2316yes—
213#125C2313yes—
214#125C2316yes—
215#125C2316yes—
216#125C2316yes—
217#125C23112yes—
218#124C2313yes—
219#124C2313yes—
220#124C2316yes—
221#124C2313yes—
222#124C2313yes—
223#124C2316yes—
224#124C2316yes—
225#124C2316yes—
226#124C2316yes—
227#124C2316yes—
228#124C23112yes—
229#124C23112yes—
230#123C2316yes—
231#123C2312yes—
232#123C2316yes—
233#123C23112yes—
234#123C23112yes—
235#123C23112yes—
236#123C2316yes—
237#123C2316yes—
238#123C2316yes—
239#123C23112yes—
240#123C23112yes—
241#123C2316yes—
242#123C2316yes—
243#123C2316yes—
244#123C2316yes—
245#123C23112yes—
246#123C23112yes—
247#123C23112yes—
248#123C23112yes—
249C22⋊Q8C2316yes—
250C22⋊Q8C2313yes—
251C22⋊Q8C2316yes—
252C22⋊Q8C2316yes—
253C22⋊Q8C2316yes—
254C22⋊Q8C23112yes—
255C22⋊Q8C2313yes—
256C22⋊Q8C2313yes—
257C22⋊Q8C2316yes—
258C22⋊Q8C2316yes—
259C22⋊Q8C2316yes—
260C22⋊Q8C2316yes—
261C22⋊Q8C2316yes—
262C22⋊Q8C2316yes—
263C22⋊Q8C2313yes—
264C22⋊Q8C2313yes—
265C22⋊Q8C2313yes—
266C22⋊Q8C2316yes—
267C22⋊Q8C2316yes—
268C22⋊Q8C23112yes—
269#121C2316yes—
270#121C2316yes—
271#121C2316yes—
272#121C2316yes—
273#121C23112yes—
274#121C23112yes—
275#121C2312yes—
276#121C2313yes—
277#121C2316yes—
278#121C2316yes—
279#121C2316yes—
280#121C2316yes—
281#121C2316yes—
282#121C2316yes—
283#121C2316yes—
284#121C2311yescharacteristic
285#121C2313yes—
286#121C2313yes—
287#121C2316yes—
288#121C2311yescharacteristic
289#121C2313yes—
290#121C2316yes—
291#121C2316yes—
292#121C2316yes—
293#121C2316yes—
294#121C2316yes—
295#121C2316yes—
296#121C23112yes—
297#121C23112yes—
298#121C2316yes—
299#121C23112yes—
300#121C23112yes—
301#121C23112yes—
302#121C23112yes—
303#121C23112yes—
304#121C23112yes—
305#121C23112yes—
306#120C2316yes—
307#120C23112yes—
308#120C23112yes—
309#120C23112yes—
310#120C2316yes—
311#120C2316yes—
312#120C2316yes—
313#120C23112yes—
314C4×Q8C2311yescharacteristic
315C4×Q8C2311yescharacteristic
316C4×Q8C2311yescharacteristic
317C4×Q8C2313yes—
318C4×Q8C2313yes—
319C4×Q8C2313yes—
320C4×Q8C2313yes—
321C4×Q8C2312yes—
322C4×Q8C2311yescharacteristic
323C4×Q8C2313yes—
324C4×Q8C2313yes—
325C4×Q8C2313yes—
326C4×Q8C2313yes—
327C4×Q8C2316yes—
328C4×Q8C2316yes—
329C4×Q8C2316yes—
330C4×D4C2312yes—
331C4×D4C2311yescharacteristic
332C4×D4C2313yes—
333C4×D4C2313yes—
334C4×D4C2313yes—
335C4×D4C2316yes—
336C4×D4C2316yes—
337C4×D4C2316yes—
338C4×D4C2316yes—
339C4×D4C2316yes—
340C4×D4C2316yes—
341C4×D4C2316yes—
342C4×D4C2313yes—
343C4×D4C2316yes—
344C4×D4C2313yes—
345C4×D4C2313yes—
346C4×D4C2316yes—
347C4×D4C2316yes—
348C4×D4C2313yes—
349C4×D4C2311yescharacteristic
350C4×D4C2313yes—
351C4×D4C2316yes—
352C4×D4C2313yes—
353C4×D4C2313yes—
354C4×D4C2313yes—
355C4×D4C2313yes—
356C4×D4C2316yes—
357C4×D4C2313yes—
358C4×D4C2313yes—
359C4×D4C2316yes—
360C4×D4C2316yes—
361C4×D4C2316yes—
362C4×D4C23112yes—
363C4×D4C2316yes—
364C4×D4C23112yes—
365C4×D4C2316yes—
366C4×D4C2316yes—
367C4×D4C23112yes—
368C4×D4C23112yes—
369C4×D4C2316yes—
370C4×D4C2316yes—
371C4×D4C2316yes—
372#117C2311yescharacteristic
373#117C2313yes—
374#117C2313yes—
375#117C2316yes—
376#117C2316yes—
377#117C2313yes—
378#117C2313yes—
379#117C2316yes—
380#117C2316yes—
381#117C2316yes—
382#117C2316yes—
383#117C2316yes—
384#117C23112yes—
385C2×C4⋊C4C2311yescharacteristic
386C2×C4⋊C4C2313yes—
387C2×C4⋊C4C2316yes—
388C2×C4⋊C4C2313yes—
389C2×C4⋊C4C2313yes—
390C2×C4⋊C4C2316yes—
391C2×C4⋊C4C23112yes—
392C2×C22⋊C4C2316yes—
393C2×C22⋊C4C2316yes—
394C2×C22⋊C4C2316yes—
395C2×C22⋊C4C2316yes—
396C2×C22⋊C4C23112yes—
397C2×C42C2313yes—
398C2×C42C2316yes—
399C2×C42C2313yes—
400C2×C42C2313yes—
401C24C2416yes—
402C24C2416yes—
403#41—24no—
404#41—28no—
405#41—28no—
406#41—412no—
407#41—46no—
408#41—412no—
409#41—412no—
410#41—412no—
411#41—412no—
412#41—412no—
413#41—46no—
414#41—412no—
415#41—412no—
416C2×Q8—24no—
417C2×Q8—28no—
418C2×Q8—24no—
419C2×Q8—412no—
420C2×Q8C2413yes—
421C2×Q8C2413yes—
422C2×Q8C2416yes—
423C2×Q8C2413yes—
424C2×Q8C2413yes—
425C2×Q8C2416yes—
426C2×Q8C2411yescharacteristic
427C2×D4—46no—
428C2×D4—46no—
429C2×D4—412no—
430C2×D4—412no—
431C2×D4—412no—
432C2×D4—412no—
433C2×D4C2411yescharacteristic
434C2×D4C2413yes—
435C2×D4C2412yes—
436C2×D4C2411yescharacteristic
437C2×D4C2413yes—
438C2×D4C2413yes—
439C2×D4C2413yes—
440C2×D4C2416yes—
441C2×D4C2416yes—
442C2×D4C2416yes—
443C2×D4C24112yes—
444C2×D4C2416yes—
445C2×D4C2416yes—
446C2×D4C2416yes—
447C2×D4C2413yes—
448C2×D4C2416yes—
449C2×D4C24112yes—
450C2×D4C2416yes—
451C2×D4C2416yes—
452C2×D4C2416yes—
453C2×D4C2412yes—
454C2×D4C24112yes—
455C2×D4C2416yes—
456C2×D4C24112yes—
457C22×C4—412no—
458C22×C4—412no—
459C22×C4C2411yescharacteristic
460C22×C4C2411yescharacteristic
461C22×C4C2413yes—
462C22×C4C2413yes—
463C22×C4C2413yes—
464C22×C4C2413yes—
465C22×C4C2416yes—
466C22×C4C2413yes—
467C22×C4C2416yes—
468C22×C4C2416yes—
469C22×C4C2416yes—
470C22×C4C2413yes—
471C22×C4C2413yes—
472C22×C4C2416yes—
473C22×C4C2412yes—
474C22×C4C24112yes—
475C22×C4C2416yes—
476C22×C4C2416yes—
477C22×C4C24112yes—
478C22×C4C2416yes—
479C22×C4C2416yes—
480C22×C4C2412yes—
481C4⋊C4C2411yescharacteristic
482C4⋊C4C2416yes—
483C4⋊C4C2412yes—
484C4⋊C4C2413yes—
485C4⋊C4C2416yes—
486C4⋊C4C2413yes—
487C4⋊C4C2413yes—
488C4⋊C4C2416yes—
489C4⋊C4C2416yes—
490C4⋊C4C2413yes—
491C4⋊C4C2416yes—
492C4⋊C4C2413yes—
493C4⋊C4C2411yescharacteristic
494C4⋊C4C2412yes—
495C4⋊C4C2413yes—
496C4⋊C4C2416yes—
497C4⋊C4C2416yes—
498C4⋊C4C24112yes—
499C4⋊C4C2416yes—
500C4⋊C4C2416yes—
501C4⋊C4C2411yescharacteristic
502C4⋊C4C2416yes—
503C4⋊C4C2412yes—
504C4⋊C4C2413yes—
505C4⋊C4C2413yes—
506C4⋊C4C2411yescharacteristic
507C4⋊C4C2416yes—
508C4⋊C4C2416yes—
509C4⋊C4C2413yes—
510C4⋊C4C2416yes—
511C4⋊C4C2413yes—
512C4⋊C4C2416yes—
513C4⋊C4C2416yes—
514C22⋊C4C2411yescharacteristic
515C22⋊C4C2413yes—
516C22⋊C4C2416yes—
517C22⋊C4C2412yes—
518C22⋊C4C2412yes—
519C22⋊C4C2416yes—
520C22⋊C4C2413yes—
521C22⋊C4C2416yes—
522C22⋊C4C2416yes—
523C22⋊C4C2416yes—
524C22⋊C4C2416yes—
525C22⋊C4C2416yes—
526C22⋊C4C2416yes—
527C22⋊C4C24112yes—
528C22⋊C4C24112yes—
529C22⋊C4C2416yes—
530C22⋊C4C2416yes—
531C22⋊C4C2416yes—
532C22⋊C4C2411yescharacteristic
533C22⋊C4C2412yes—
534C22⋊C4C2416yes—
535C22⋊C4C2412yes—
536C22⋊C4C2413yes—
537C22⋊C4C2416yes—
538C22⋊C4C2416yes—
539C22⋊C4C2416yes—
540C22⋊C4C2416yes—
541C22⋊C4C24112yes—
542C22⋊C4C24112yes—
543C22⋊C4C2416yes—
544C22⋊C4C2416yes—
545C22⋊C4C2413yes—
546C42C2412yes—
547C42C2413yes—
548C42C2411yescharacteristic
549C42C2413yes—
550C42C2413yes—
551C42C2416yes—
552C42C2413yes—
553C42C2413yes—
554C42C2416yes—
555C42C2413yes—
556C42C2413yes—
557C42C2413yes—
558C42C2413yes—
559C42C24112yes—
560C23—212no—
561C23—46no—
562C23—46no—
563C23—46no—
564C23—46no—
565C23—46no—
566C23C2512yes—
567C23C2513yes—
568C23C2516yes—
569C23C2516yes—
570C23C2511yescharacteristic
571C23C2511yescharacteristic
572Q8—26no—
573Q8—212no—
574Q8—26no—
575Q8—26no—
576Q8—46no—
577Q8—43no—
578Q8H(5,𝔽2)14yes—
579D4—24no—
580D4—26no—
581D4—22no—
582D4—212no—
583D4—26no—
584D4—212no—
585D4—22no—
586D4—26no—
587D4—26no—
588D4—46no—
589D4—46no—
590D4—46no—
591D4—46no—
592D4—412no—
593D4—46no—
594D4—46no—
595D4—412no—
596D4—412no—
597D4—43no—
598D4—46no—
599D4—412no—
600D4—42no—
601D4—46no—
602D4—46no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—212no—
606C2×C4—26no—
607C2×C4—212no—
608C2×C4—212no—
609C2×C4—26no—
610C2×C4—22no—
611C2×C4—26no—
612C2×C4—22no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—46no—
616C2×C4—46no—
617C2×C4—46no—
618C2×C4—46no—
619C2×C4—46no—
620C2×C4—412no—
621C2×C4—46no—
622C2×C4—412no—
623C2×C4—43no—
624C2×C4—43no—
625C2×C4C2511yescharacteristic
626C2×C4C2513yes—
627C2×C4C2511yescharacteristic
628C2×C4C2511yescharacteristic
629C2×C4C2513yes—
630C2×C4C2516yes—
631C2×C4C2513yes—
632C2×C4C2512yes—
633C2×C4C2512yes—
634C2×C4C2511yescharacteristic
635C2×C4C2513yes—
636C2×C4C2513yes—
637C2×C4C2516yes—
638C2×C4C2513yes—
639C2×C4C2512yes—
640C2×C4C2513yes—
641C2×C4C2511yescharacteristic
642C22—21no—
643C22—21no—
644C22—22no—
645C22—21no—
646C22—26no—
647C22—23no—
648C22—26no—
649C22—21no—
650C22—23no—
651C22—21no—
652C22—26no—
653C22—23no—
654C22—26no—
655C22—26no—
656C22—22no—
657C22—22no—
658C22—26no—
659C22—812no—
660C22—812no—
661C22#58512yes—
662C22C2611yescharacteristic
663C4—21no—
664C4—22no—
665C4—22no—
666C4—23no—
667C4—26no—
668C4—23no—
669C4—21no—
670C4—23no—
671C4—23no—
672C4—21no—
673C4—23no—
674C4—22no—
675C4—23no—
676C4—21no—
677C4—26no—
678C4C2×H(5,𝔽2)16yes—
679C4#58512yes—
680C2—22no—
681C2—41no—
682C2—46no—
683C2—43no—
684C2—46no—
685C2—42no—
686C2C22×H(5,𝔽2)11yescharacteristic
687C2C2×#58511yescharacteristic
688C2C2×#58511yescharacteristic
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. #3554C2semidirect
3. #3546C2semidirect
4. #3543C2semidirect
5. #3542C2semidirect
6. #3539C2semidirect
7. #3524C2semidirect
8. #3523C2semidirect
9. #3520C2semidirect
10. #3517C2semidirect
11. #3517C2semidirect
12. #3508C2semidirect
13. #3506C2semidirect
14. #3505C2semidirect
15. #3497C2semidirect
16. #3489C2semidirect
17. #3487C2semidirect
18. #3482C2semidirect
19. #3481C2semidirect
20. #3480C2semidirect
21. D4×#41C2semidirect
22. D4×#41C2semidirect
23. C2×#550C2semidirect
24. C2×2−1+4C22semidirect
25. C22×#41C22semidirect
26. C22×#41C22semidirect
27. #562C22semidirect
28. #560C22semidirect
29. #560C22semidirect
30. #559C22semidirect
31. #559C22semidirect
32. #559C22semidirect
33. #559C22semidirect
34. #557C22semidirect
35. #557C22semidirect
36. #557C22semidirect
37. #556C22semidirect
38. #556C22semidirect
39. #556C22semidirect
40. #555C22semidirect
41. #554C22semidirect
42. #554C22semidirect
44. #553C22semidirect
45. #553C22semidirect
46. #553C22semidirect
47. #553C22semidirect
48. #553C22semidirect
49. #553C22semidirect
50. #553C22semidirect
51. #552C22semidirect
52. #552C22semidirect
53. #552C22semidirect
54. #552C22semidirect
55. #551C22semidirect
56. #551C22semidirect
57. #551C22semidirect
59. #550C22semidirect
60. #550C22semidirect
61. #550C22semidirect
62. #550C22semidirect
63. #550C22semidirect
64. #550C22semidirect
65. #550C22semidirect
66. #550C22semidirect
67. #550C22semidirect
68. #550C22semidirect
69. #550C22semidirect
70. D4×Q8C22semidirect
71. D4×Q8C22semidirect
72. D4×Q8C22semidirect
73. D4×Q8C22semidirect
75. #548C22semidirect
76. #548C22semidirect
77. #548C22semidirect
78. #548C22semidirect
79. #548C22semidirect
80. #548C22semidirect
81. #548C22semidirect
82. #547C22semidirect
83. #547C22semidirect
84. #547C22semidirect
85. #547C22semidirect
86. #547C22semidirect
87. #547C22semidirect
88. #546C22semidirect
89. #546C22semidirect
90. #546C22semidirect
91. #546C22semidirect
92. #546C22semidirect
93. #546C22semidirect
94. #546C22semidirect
95. #546C22semidirect
96. #546C22semidirect
98. D42C22semidirect
99. D42C22semidirect
100. #542C22semidirect
101. #542C22semidirect
102. #541C22semidirect
103. #540C22semidirect
104. #540C22semidirect
105. #540C22semidirect
106. #540C22semidirect
107. #540C22semidirect
108. #540C22semidirect
109. #539C22semidirect
110. #539C22semidirect
111. #538C22semidirect
112. #538C22semidirect
113. #537C22semidirect
114. #537C22semidirect
115. #536C22semidirect
116. #535C22semidirect
117. #535C22semidirect
118. #535C22semidirect
119. #535C22semidirect
120. #534C22semidirect
121. #533C22semidirect
122. #533C22semidirect
123. #532C22semidirect
124. #532C22semidirect
125. #532C22semidirect
126. #532C22semidirect
127. #532C22semidirect
128. #532C22semidirect
129. C2×#127C22semidirect
131. #529C22semidirect
132. #529C22semidirect
133. #529C22semidirect
134. #529C22semidirect
135. #529C22semidirect
136. #529C22semidirect
137. #525C22semidirect
138. #525C22semidirect
139. #525C22semidirect
140. #525C22semidirect
141. #525C22semidirect
142. #525C22semidirect
143. C2×C22⋊Q8C22semidirect
144. C2×#121C22semidirect
145. #520C22semidirect
146. #520C22semidirect
147. #519C22semidirect
148. #518C22semidirect
149. C4×#41C22semidirect
150. C4×#41C22semidirect
151. C4×#41C22semidirect
152. C4×#41C22semidirect
153. C2×C4×Q8C22semidirect
154. C2×C4×Q8C22semidirect
155. C2×C4×D4C22semidirect
156. C2×C4×D4C22semidirect
157. C2×C4×D4C22semidirect

Maximal subgroups

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

subgroupindex
#35622
#35542
#35462
#35432
#35422
#35392
#35242
#35232
#35202
#35172
#35082
#35062
#35052
#34972
#34892
#34872
#34822
#34812
#34802
D4×#412
C2×#5502