Finite Group Databasebeta

← #63015

Subgroups — #63015

Order 256.

3583 conjugacy classes of subgroups.

The subgroup lattice has 687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3561C216yesmaximal, complemented
2#3554C213yesmaximal, complemented
3#3552C213yesmaximal, complemented
4#3547C213yesmaximal, complemented
5#3541C216yesmaximal, complemented
6#3536C216yesmaximal, complemented
7#3522C211yesmaximal, characteristic, complemented
8#3520C216yesmaximal, complemented
9#3519C213yesmaximal, complemented
10#3518C211yesmaximal, characteristic, complemented
11#3516C212yesmaximal, complemented
12#3514C213yesmaximal, complemented
13#3511C213yesmaximal, complemented
14#3501C213yesmaximal, complemented
15#3497C211yesmaximal, characteristic, complemented
16#3489C212yesmaximal, complemented
17#3486C212yesmaximal, complemented
18#3482C211yesmaximal, characteristic, complemented
19#3481C213yesmaximal, complemented
20Q8×#41C211yesmaximal, characteristic, complemented
21D4×#41C211yesmaximal, characteristic, complemented
22C2×D4×Q8C211yesmaximal, characteristic, complemented
23C2×#548C212yesmaximal, complemented
24C2×2−1+4C2212yescomplemented
25C22×#41C2212yescomplemented
26C23×Q8C2212yescomplemented
27#563C22112yescomplemented
28#562C22112yescomplemented
29#562C22112yescomplemented
30#559C2213yescomplemented
31#559C2213yescomplemented
32Q82C2211yescharacteristic, complemented
33#557C2213yescomplemented
34#557C2211yescharacteristic, complemented
35#556C2213yescomplemented
36#556C2216yescomplemented
37#556C2213yescomplemented
38#556C2216yescomplemented
39#555C2216yescomplemented
40#555C2213yescomplemented
41#554C2213yes—
42#554C2213yes—
43#554C2216yescomplemented
44#554C2213yescomplemented
45#554C2216yescomplemented
46#554C2216yescomplemented
47#554C22112yescomplemented
48#554C2213yescomplemented
49#553C2213yescomplemented
50#553C2216yescomplemented
51#553C2213yescomplemented
52#553C2216yescomplemented
53#553C2216yescomplemented
54#552C2213yescomplemented
55#552C2213yescomplemented
56#552C2216yescomplemented
57#551C2216yescomplemented
58#551C2216yescomplemented
59#551C22112yescomplemented
60#550C2211yescharacteristic, complemented
61#550C2213yescomplemented
62D4×Q8C2211yescharacteristic
63D4×Q8C2213yes—
64D4×Q8C2212yescomplemented
65D4×Q8C2211yescharacteristic, complemented
66D4×Q8C2216yescomplemented
67D4×Q8C2213yescomplemented
68D4×Q8C2212yescomplemented
69D4×Q8C2211yescharacteristic, complemented
70D4×Q8C2216yescomplemented
71D4×Q8C2216yescomplemented
72D4×Q8C2213yescomplemented
73#548C2211yescharacteristic
74#548C2212yescomplemented
75#548C2212yescomplemented
76#548C2212yescomplemented
77#548C2216yescomplemented
78#548C2216yescomplemented
79#548C2216yescomplemented
80#548C2216yescomplemented
81#548C2212yescomplemented
82#548C2211yescharacteristic, complemented
83#548C2216yescomplemented
84#548C2216yescomplemented
85#548C2216yescomplemented
86#547C2213yescomplemented
87#547C2213yescomplemented
88#547C2216yescomplemented
89#547C2216yescomplemented
90#547C2216yescomplemented
91#546C2211yescharacteristic
92#546C2213yes—
93#546C2216yescomplemented
94#546C2216yescomplemented
95#546C2216yescomplemented
96#546C2216yescomplemented
97#546C22112yescomplemented
98D42C2213yes—
99D42C2213yes—
100#544C2216yescomplemented
101#543C22112yescomplemented
102#542C2216yescomplemented
103#542C2216yescomplemented
104#542C2216yescomplemented
105#542C2216yescomplemented
106#542C2216yescomplemented
107#542C22112yescomplemented
108#542C2216yescomplemented
109#541C2216yescomplemented
110#540C2216yescomplemented
111#539C22112yescomplemented
112#539C22112yescomplemented
113#538C22112yescomplemented
114#538C22112yescomplemented
115#537C2216yescomplemented
116#537C2216yescomplemented
117#537C2216yescomplemented
118#536C2216yescomplemented
119#536C2216yescomplemented
120#536C2216yescomplemented
121#533C2213yescomplemented
122#533C2216yescomplemented
123#533C2213yescomplemented
124#533C2213yescomplemented
125#532C2213yescomplemented
126#532C2213yescomplemented
127#532C2213yescomplemented
128#532C2213yescomplemented
129C2×C4⋊Q8C2213yescomplemented
130#529C2216yescomplemented
131#529C2213yescomplemented
132#529C2213yescomplemented
133#529C2213yescomplemented
134#529C2213yescomplemented
135#529C2216yescomplemented
136C2×#124C2216yescomplemented
137#525C2216yescomplemented
138#525C2216yescomplemented
139#525C2216yescomplemented
140#525C2216yescomplemented
141C2×C22⋊Q8C2216yescomplemented
142C2×C22⋊Q8C2216yescomplemented
143C2×C22⋊Q8C2216yescomplemented
144C2×#121C2216yescomplemented
145#520C2212yescomplemented
146#520C2216yescomplemented
147#519C2212yescomplemented
148#518C2216yes—
149C4×#41C2213yes—
150C4×#41C2211yescharacteristic, complemented
151C4×#41C2213yescomplemented
152C2×C4×Q8C2212yescomplemented
153C2×C4×Q8C2211yescharacteristic, complemented
154C2×C4×Q8C2211yescharacteristic, complemented
155C2×C4×D4C2213yes—
156C2×C4×D4C2213yes—
157C2×C4×D4C2216yescomplemented
1582−1+4—48no—
159C2×#41—48no—
160C2×#41C2311yescharacteristic
161C2×#41C2311yescharacteristic
162C2×#41C2312yes—
163C2×#41C2313yes—
164C2×#41C2316yes—
165C2×#41C2316yes—
166C2×#41C2316yes—
167C2×#41C2316yes—
168C2×#41C2316yes—
169C2×#41C2316yes—
170C22×Q8—48no—
171C22×Q8C2311yescharacteristic
172C22×Q8C2312yes—
173C22×Q8C2311yescharacteristic
174C22×Q8C2312yes—
175C22×Q8C2316yes—
176C22×Q8C2316yes—
177C22×Q8C2316yes—
178C22×Q8C2316yes—
179C22×D4C2311yescharacteristic
180C22×D4C2313yes—
181C22×D4C2316yes—
182C22×D4C2316yes—
183C23×C4C2316yes—
184C23×C4C2316yes—
185C4⋊Q8C2313yes—
186C4⋊Q8C2313yes—
187C4⋊Q8C2316yes—
188C4⋊Q8C2316yes—
189C4⋊Q8C2316yes—
190C4⋊Q8C2313yes—
191C4⋊Q8C2313yes—
192C4⋊Q8C2316yes—
193C4⋊Q8C2313yes—
194C4⋊Q8C2313yes—
195C4⋊Q8C2316yes—
196C4⋊Q8C23112yes—
197#127C2313yes—
198#127C2313yes—
199#126C2316yes—
200#126C23112yes—
201#126C2316yes—
202#126C2316yes—
203#126C2316yes—
204#126C2316yes—
205#126C2316yes—
206#126C23112yes—
207#126C23112yes—
208#125C2313yes—
209#125C2313yes—
210#125C2313yes—
211#125C2316yes—
212#125C2313yes—
213#125C2316yes—
214#125C23112yes—
215#125C2316yes—
216#125C23112yes—
217#124C2313yes—
218#124C2316yes—
219#124C2316yes—
220#124C2316yes—
221#124C23112yes—
222#124C23112yes—
223#124C2311yescharacteristic
224#124C2313yes—
225#124C2313yes—
226#124C2316yes—
227#124C2316yes—
228#124C2316yes—
229#124C2316yes—
230#124C23112yes—
231#124C23112yes—
232#123C23112yes—
233#123C2316yes—
234#123C2316yes—
235#123C2316yes—
236#123C23112yes—
237#123C2316yes—
238#123C2316yes—
239#123C2312yes—
240#123C2316yes—
241#123C2316yes—
242#123C2316yes—
243#123C2316yes—
244#123C23112yes—
245#123C23112yes—
246#123C23112yes—
247#123C23112yes—
248C22⋊Q8C2316yes—
249C22⋊Q8C2316yes—
250C22⋊Q8C2313yes—
251C22⋊Q8C2316yes—
252C22⋊Q8C2313yes—
253C22⋊Q8C2316yes—
254C22⋊Q8C2316yes—
255C22⋊Q8C23112yes—
256C22⋊Q8C2316yes—
257C22⋊Q8C2316yes—
258C22⋊Q8C2316yes—
259C22⋊Q8C2316yes—
260C22⋊Q8C23112yes—
261C22⋊Q8C23112yes—
262C22⋊Q8C23112yes—
263C22⋊Q8C23112yes—
264C22⋊Q8C2313yes—
265C22⋊Q8C2316yes—
266C22⋊Q8C2316yes—
267C22⋊Q8C2316yes—
268C22⋊Q8C2316yes—
269C22⋊Q8C2311yescharacteristic
270C22⋊Q8C2313yes—
271C22⋊Q8C2313yes—
272C22⋊Q8C2316yes—
273C22⋊Q8C2316yes—
274C22⋊Q8C2316yes—
275C22⋊Q8C2316yes—
276C22⋊Q8C23112yes—
277C22⋊Q8C2316yes—
278C22⋊Q8C23112yes—
279C22⋊Q8C23112yes—
280C22⋊Q8C23112yes—
281C22⋊Q8C23112yes—
282C22⋊Q8C23112yes—
283#121C2313yes—
284#121C2316yes—
285#121C23112yes—
286#121C2316yes—
287#121C2316yes—
288#121C23112yes—
289#121C2312yes—
290#121C2316yes—
291#121C2316yes—
292#121C2316yes—
293#121C2316yes—
294#121C2316yes—
295#121C2313yes—
296#121C2313yes—
297#121C2316yes—
298#121C2313yes—
299#121C2311yescharacteristic
300#121C2313yes—
301#121C2316yes—
302#121C2316yes—
303#121C2316yes—
304#121C2316yes—
305#121C23112yes—
306#121C23112yes—
307#121C23112yes—
308#120C2316yes—
309#120C2312yes—
310#120C2316yes—
311#120C23112yes—
312#120C2316yes—
313C4×Q8C2311yescharacteristic
314C4×Q8C2311yescharacteristic
315C4×Q8C2312yes—
316C4×Q8C2311yescharacteristic
317C4×Q8C2313yes—
318C4×Q8C2313yes—
319C4×Q8C2316yes—
320C4×Q8C2313yes—
321C4×Q8C2316yes—
322C4×Q8C2313yes—
323C4×Q8C2313yes—
324C4×Q8C2313yes—
325C4×Q8C2311yescharacteristic
326C4×Q8C2313yes—
327C4×Q8C2313yes—
328C4×Q8C2316yes—
329C4×Q8C2316yes—
330C4×Q8C2316yes—
331C4×Q8C2316yes—
332C4×D4C2311yescharacteristic
333C4×D4C2313yes—
334C4×D4C2313yes—
335C4×D4C2316yes—
336C4×D4C2316yes—
337C4×D4C2316yes—
338C4×D4C2313yes—
339C4×D4C2313yes—
340C4×D4C2313yes—
341C4×D4C2316yes—
342C4×D4C2313yes—
343C4×D4C2313yes—
344C4×D4C2316yes—
345C4×D4C2316yes—
346C4×D4C2316yes—
347C4×D4C2316yes—
348C4×D4C2316yes—
349C4×D4C2316yes—
350C4×D4C2316yes—
351C4×D4C2313yes—
352C4×D4C2316yes—
353C4×D4C2316yes—
354C4×D4C2311yescharacteristic
355C4×D4C2313yes—
356C4×D4C2313yes—
357C4×D4C2313yes—
358C4×D4C2313yes—
359C4×D4C2313yes—
360C4×D4C2313yes—
361C4×D4C23112yes—
362C4×D4C23112yes—
363C4×D4C2316yes—
364C4×D4C2316yes—
365C4×D4C2316yes—
366C4×D4C23112yes—
367C4×D4C2316yes—
368C4×D4C2316yes—
369C4×D4C2316yes—
370#117C2316yes—
371#117C2313yes—
372#117C2313yes—
373#117C2313yes—
374#117C2313yes—
375#117C2313yes—
376#117C2316yes—
377#117C2316yes—
378#117C2316yes—
379#117C2316yes—
380#117C2316yes—
381#117C23112yes—
382C2×C4⋊C4C2313yes—
383C2×C4⋊C4C2313yes—
384C2×C4⋊C4C2316yes—
385C2×C4⋊C4C2316yes—
386C2×C4⋊C4C2313yes—
387C2×C4⋊C4C2313yes—
388C2×C4⋊C4C2316yes—
389C2×C4⋊C4C2316yes—
390C2×C4⋊C4C23112yes—
391C2×C22⋊C4C2316yes—
392C2×C22⋊C4C2316yes—
393C2×C22⋊C4C2312yes—
394C2×C22⋊C4C2316yes—
395C2×C22⋊C4C23112yes—
396C2×C22⋊C4C23112yes—
397C2×C42C2313yes—
398C2×C42C2313yes—
399C2×C42C2316yes—
400C2×C42C2313yes—
401C24C2412yes—
402C24C2416yes—
403#41—24no—
404#41—28no—
405#41—24no—
406#41—412no—
407#41—46no—
408#41—412no—
409#41—412no—
410#41—412no—
411#41—412no—
412#41—412no—
413C2×Q8—24no—
414C2×Q8—28no—
415C2×Q8—28no—
416C2×Q8—24no—
417C2×Q8—412no—
418C2×Q8—412no—
419C2×Q8—412no—
420C2×Q8—412no—
421C2×Q8C2411yescharacteristic
422C2×Q8C2413yes—
423C2×Q8C2416yes—
424C2×Q8C2413yes—
425C2×Q8C2416yes—
426C2×Q8C2413yes—
427C2×Q8C2416yes—
428C2×Q8C2416yes—
429C2×Q8C24112yes—
430C2×Q8C2411yescharacteristic
431C2×D4—24no—
432C2×D4—212no—
433C2×D4—412no—
434C2×D4—412no—
435C2×D4C2412yes—
436C2×D4C2416yes—
437C2×D4C2412yes—
438C2×D4C2413yes—
439C2×D4C2411yescharacteristic
440C2×D4C2411yescharacteristic
441C2×D4C2416yes—
442C2×D4C2413yes—
443C2×D4C2413yes—
444C2×D4C2416yes—
445C2×D4C2413yes—
446C2×D4C2416yes—
447C2×D4C2416yes—
448C2×D4C2416yes—
449C2×D4C2416yes—
450C2×D4C2412yes—
451C2×D4C2416yes—
452C2×D4C24112yes—
453C2×D4C2411yescharacteristic
454C22×C4—412no—
455C22×C4—412no—
456C22×C4C2412yes—
457C22×C4C2411yescharacteristic
458C22×C4C2411yescharacteristic
459C22×C4C2413yes—
460C22×C4C2413yes—
461C22×C4C2413yes—
462C22×C4C2416yes—
463C22×C4C2413yes—
464C22×C4C2413yes—
465C22×C4C2416yes—
466C22×C4C2416yes—
467C22×C4C2416yes—
468C22×C4C2413yes—
469C22×C4C2413yes—
470C22×C4C2416yes—
471C22×C4C2416yes—
472C22×C4C2412yes—
473C22×C4C24112yes—
474C22×C4C24112yes—
475C22×C4C2416yes—
476C22×C4C2416yes—
477C22×C4C2416yes—
478C4⋊C4C2413yes—
479C4⋊C4C2411yescharacteristic
480C4⋊C4C2413yes—
481C4⋊C4C2416yes—
482C4⋊C4C2413yes—
483C4⋊C4C2413yes—
484C4⋊C4C2413yes—
485C4⋊C4C2416yes—
486C4⋊C4C2413yes—
487C4⋊C4C2416yes—
488C4⋊C4C24112yes—
489C4⋊C4C2413yes—
490C4⋊C4C2416yes—
491C4⋊C4C2416yes—
492C4⋊C4C2416yes—
493C4⋊C4C2416yes—
494C4⋊C4C2416yes—
495C4⋊C4C2416yes—
496C4⋊C4C24112yes—
497C4⋊C4C24112yes—
498C4⋊C4C2416yes—
499C4⋊C4C2416yes—
500C4⋊C4C2413yes—
501C4⋊C4C2413yes—
502C4⋊C4C2413yes—
503C4⋊C4C2411yescharacteristic
504C4⋊C4C2412yes—
505C4⋊C4C2416yes—
506C4⋊C4C2416yes—
507C4⋊C4C2413yes—
508C4⋊C4C2413yes—
509C4⋊C4C2416yes—
510C4⋊C4C2416yes—
511C4⋊C4C2416yes—
512C4⋊C4C2416yes—
513C22⋊C4C2412yes—
514C22⋊C4C2416yes—
515C22⋊C4C2411yescharacteristic
516C22⋊C4C2416yes—
517C22⋊C4C2416yes—
518C22⋊C4C2413yes—
519C22⋊C4C2416yes—
520C22⋊C4C24112yes—
521C22⋊C4C2416yes—
522C22⋊C4C2416yes—
523C22⋊C4C2412yes—
524C22⋊C4C2412yes—
525C22⋊C4C2412yes—
526C22⋊C4C2416yes—
527C22⋊C4C24112yes—
528C22⋊C4C2416yes—
529C22⋊C4C2416yes—
530C22⋊C4C2416yes—
531C22⋊C4C2416yes—
532C22⋊C4C24112yes—
533C22⋊C4C2416yes—
534C22⋊C4C2411yescharacteristic
535C22⋊C4C2416yes—
536C22⋊C4C2412yes—
537C22⋊C4C2413yes—
538C22⋊C4C2413yes—
539C22⋊C4C2416yes—
540C22⋊C4C24112yes—
541C22⋊C4C2416yes—
542C22⋊C4C2416yes—
543C22⋊C4C2416yes—
544C22⋊C4C2413yes—
545C42C2411yescharacteristic
546C42C2413yes—
547C42C2413yes—
548C42C2413yes—
549C42C2416yes—
550C42C2413yes—
551C42C2413yes—
552C42C2413yes—
553C42C2416yes—
554C42C2413yes—
555C42C2413yes—
556C42C2413yes—
557C42C2416yes—
558C42C24112yes—
559C23—24no—
560C23—24no—
561C23—212no—
562C23—42no—
563C23—46no—
564C23—46no—
565C23C2513yes—
566C23C2512yes—
567C23C2516yes—
568C23C2511yescharacteristic
569C23C2512yes—
570C23C2511yescharacteristic
571Q8—26no—
572Q8—212no—
573Q8—212no—
574Q8—26no—
575Q8—22no—
576Q8—412no—
577Q8—46no—
578Q8—43no—
579Q8—46no—
580Q8H(5,𝔽2)14yes—
581D4—24no—
582D4—212no—
583D4—24no—
584D4—26no—
585D4—212no—
586D4—22no—
587D4—26no—
588D4—212no—
589D4—22no—
590D4—26no—
591D4—46no—
592D4—46no—
593D4—412no—
594D4—43no—
595D4—46no—
596D4—42no—
597D4—46no—
598D4—46no—
599D42−1+414yescomplemented
600C2×C4—24no—
601C2×C4—26no—
602C2×C4—212no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—212no—
606C2×C4—212no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—26no—
610C2×C4—22no—
611C2×C4—42no—
612C2×C4—46no—
613C2×C4—46no—
614C2×C4—46no—
615C2×C4—46no—
616C2×C4—46no—
617C2×C4—46no—
618C2×C4—412no—
619C2×C4—412no—
620C2×C4—43no—
621C2×C4—43no—
622C2×C4C2511yescharacteristic
623C2×C4C2512yes—
624C2×C4C2513yes—
625C2×C4C2511yescharacteristic
626C2×C4C2511yescharacteristic
627C2×C4C2513yes—
628C2×C4C2516yes—
629C2×C4C2513yes—
630C2×C4C2511yescharacteristic
631C2×C4C2513yes—
632C2×C4C2513yes—
633C2×C4C2516yes—
634C2×C4C2513yes—
635C2×C4C2516yes—
636C2×C4C2512yes—
637C2×C4C2513yes—
638C2×C4C2511yescharacteristic
639C22—21no—
640C22—22no—
641C22—21no—
642C22—22no—
643C22—22no—
644C22—21no—
645C22—26no—
646C22—23no—
647C22—21no—
648C22—23no—
649C22—22no—
650C22—26no—
651C22—21no—
652C22—26no—
653C22—23no—
654C22—22no—
655C22—48no—
656C22—812no—
657C22C2×2−1+414yes—
658C22#58512yes—
659C22C2611yescharacteristic
660C4—21no—
661C4—22no—
662C4—26no—
663C4—23no—
664C4—26no—
665C4—23no—
666C4—21no—
667C4—21no—
668C4—23no—
669C4—22no—
670C4—23no—
671C4—23no—
672C4—23no—
673C4—26no—
674C4—21no—
675C4C2×H(5,𝔽2)16yes—
676C4C2×2−1+412yes—
677C2—22no—
678C2—24no—
679C2—41no—
680C2—42no—
681C2—46no—
682C2—43no—
683C2C22×H(5,𝔽2)11yescharacteristic
684C2C22×2−1+411yescharacteristic
685C2C2×#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. #3561C2semidirect
2. #3554C2semidirect
3. #3552C2semidirect
4. #3547C2semidirect
5. #3541C2semidirect
6. #3536C2semidirect
7. #3522C2semidirect
8. #3520C2semidirect
9. #3519C2semidirect
10. #3518C2semidirect
11. #3516C2semidirect
12. #3514C2semidirect
13. #3511C2semidirect
14. #3501C2semidirect
15. #3497C2semidirect
16. #3489C2semidirect
17. #3486C2semidirect
18. #3482C2semidirect
19. #3481C2semidirect
20. Q8×#41C2semidirect
21. D4×#41C2semidirect
22. C2×D4×Q8C2semidirect
23. C2×#548C2semidirect
24. C2×2−1+4C22semidirect
25. C22×#41C22semidirect
26. C23×Q8C22semidirect
27. #563C22semidirect
28. #562C22semidirect
29. #562C22semidirect
30. #559C22semidirect
31. #559C22semidirect
32. Q82C22semidirect
33. #557C22semidirect
34. #557C22semidirect
35. #556C22semidirect
36. #556C22semidirect
37. #556C22semidirect
38. #556C22semidirect
39. #555C22semidirect
40. #555C22semidirect
43. #554C22semidirect
44. #554C22semidirect
45. #554C22semidirect
46. #554C22semidirect
47. #554C22semidirect
48. #554C22semidirect
49. #553C22semidirect
50. #553C22semidirect
51. #553C22semidirect
52. #553C22semidirect
53. #553C22semidirect
54. #552C22semidirect
55. #552C22semidirect
56. #552C22semidirect
57. #551C22semidirect
58. #551C22semidirect
59. #551C22semidirect
60. #550C22semidirect
61. #550C22semidirect
64. D4×Q8C22semidirect
65. D4×Q8C22semidirect
66. D4×Q8C22semidirect
67. D4×Q8C22semidirect
68. D4×Q8C22semidirect
69. D4×Q8C22semidirect
70. D4×Q8C22semidirect
71. D4×Q8C22semidirect
72. D4×Q8C22semidirect
74. #548C22semidirect
75. #548C22semidirect
76. #548C22semidirect
77. #548C22semidirect
78. #548C22semidirect
79. #548C22semidirect
80. #548C22semidirect
81. #548C22semidirect
82. #548C22semidirect
83. #548C22semidirect
84. #548C22semidirect
85. #548C22semidirect
86. #547C22semidirect
87. #547C22semidirect
88. #547C22semidirect
89. #547C22semidirect
90. #547C22semidirect
93. #546C22semidirect
94. #546C22semidirect
95. #546C22semidirect
96. #546C22semidirect
97. #546C22semidirect
100. #544C22semidirect
101. #543C22semidirect
102. #542C22semidirect
103. #542C22semidirect
104. #542C22semidirect
105. #542C22semidirect
106. #542C22semidirect
107. #542C22semidirect
108. #542C22semidirect
109. #541C22semidirect
110. #540C22semidirect
111. #539C22semidirect
112. #539C22semidirect
113. #538C22semidirect
114. #538C22semidirect
115. #537C22semidirect
116. #537C22semidirect
117. #537C22semidirect
118. #536C22semidirect
119. #536C22semidirect
120. #536C22semidirect
121. #533C22semidirect
122. #533C22semidirect
123. #533C22semidirect
124. #533C22semidirect
125. #532C22semidirect
126. #532C22semidirect
127. #532C22semidirect
128. #532C22semidirect
129. C2×C4⋊Q8C22semidirect
130. #529C22semidirect
131. #529C22semidirect
132. #529C22semidirect
133. #529C22semidirect
134. #529C22semidirect
135. #529C22semidirect
136. C2×#124C22semidirect
137. #525C22semidirect
138. #525C22semidirect
139. #525C22semidirect
140. #525C22semidirect
141. C2×C22⋊Q8C22semidirect
142. C2×C22⋊Q8C22semidirect
143. C2×C22⋊Q8C22semidirect
144. C2×#121C22semidirect
145. #520C22semidirect
146. #520C22semidirect
147. #519C22semidirect
150. C4×#41C22semidirect
151. C4×#41C22semidirect
152. C2×C4×Q8C22semidirect
153. C2×C4×Q8C22semidirect
154. C2×C4×Q8C22semidirect
157. C2×C4×D4C22semidirect
599. D42−1+4semidirect

Maximal subgroups

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

subgroupindex
#35612
#35542
#35522
#35472
#35412
#35362
#35222
#35202
#35192
#35182
#35162
#35142
#35112
#35012
#34972
#34892
#34862
#34822
#34812
Q8×#412
D4×#412
C2×D4×Q82
C2×#5482