Finite Group Databasebeta

← #7699054

Subgroups — #7699054

Order 512.

5775 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59945C213yesmaximal, complemented
2#59637C216yesmaximal, complemented
3#52257C213yesmaximal, complemented
4#45214C213yesmaximal, complemented
5#45115C213yesmaximal, complemented
6#45031C216yesmaximal, complemented
7#45019C216yesmaximal, complemented
8#39567C216yesmaximal, complemented
9#38250C216yesmaximal, complemented
10#38112C216yesmaximal, complemented
11#36583C211yesmaximal, characteristic, complemented
12#36431C212yesmaximal, complemented
13#36091C211yesmaximal, characteristic
14#36076C212yesmaximal, complemented
15#36059C212yesmaximal, complemented
16#36005C211yesmaximal, characteristic, complemented
17#34295C212yesmaximal, complemented
18#34263C212yesmaximal, complemented
19#34258C212yesmaximal, complemented
20C22×H(5,𝔽2)C2211yescharacteristic
21C2×#557C2211yescharacteristic, complemented
22C2×#550C2212yes—
23C2×#550C2211yescharacteristic
24C2×#520C2212yes—
25C2×#520C2211yescharacteristic, complemented
26C2×C4×#41C2212yes—
27#2858C2213yescomplemented
28#2851C2216yescomplemented
29#2799C2213yescomplemented
30#2798C2216yescomplemented
31#2797C2216yescomplemented
32#2797C22112yescomplemented
33#2796C2216yescomplemented
34#2789C2211yescharacteristic, complemented
35#2786C2216yescomplemented
36#2782C2213yescomplemented
37#2778C2216yescomplemented
38#2752C22112yescomplemented
39#2749C22112yescomplemented
40#2740C22112yescomplemented
41#2735C2216yescomplemented
42#2730C2216yescomplemented
43#2728C2213yescomplemented
44#2697C22112yescomplemented
45#2693C2216yescomplemented
46#2684C2216yescomplemented
47#2644C2216yescomplemented
48#2624C2216yescomplemented
49#2624C2213yescomplemented
50#2615C2213yes—
51#2602C22112yescomplemented
52#2598C22112yescomplemented
53#2580C2216yescomplemented
54#2572C2216yescomplemented
55#2566C2216yescomplemented
56#2557C22112yescomplemented
57#2548C2213yescomplemented
58#2547C2213yescomplemented
59#2523C2216yescomplemented
60#2513C2216yescomplemented
61#2513C2216yescomplemented
62#2513C2216yescomplemented
63#2504C2216yescomplemented
64#2501C2213yescomplemented
65#2495C2216yescomplemented
66#2495C2216yescomplemented
67#2495C2216yescomplemented
68#2490C2216yescomplemented
69#2490C2216yescomplemented
70#2487C2213yescomplemented
71#2486C2216yescomplemented
72#2483C2216yescomplemented
73#2482C22112yescomplemented
74#2472C22112yescomplemented
75#2471C22112yescomplemented
76#2454C2216yescomplemented
77#2452C2216yescomplemented
78#2445C2216yescomplemented
79#2445C2216yescomplemented
80#2445C2216yescomplemented
81#2441C2216yescomplemented
82#2439C2216yescomplemented
83#2433C2216yes—
84#2433C2213yes—
85#2422C2216yescomplemented
86#2420C2216yescomplemented
87#2420C2216yescomplemented
88#2418C22112yescomplemented
89#2412C22112yescomplemented
90#2411C22112yescomplemented
91#2408C2213yes—
92#2408C2216yes—
93#2401C2216yescomplemented
94#2395C2213yescomplemented
95#2395C2216yescomplemented
96#2388C2213yes—
97#2366C2216yescomplemented
98#2363C2216yescomplemented
99#2361C2216yescomplemented
100#2358C2216yescomplemented
101#2357C2216yescomplemented
102#2354C2216yescomplemented
103#2352C2216yescomplemented
104#2351C2212yescomplemented
105#2351C2212yescomplemented
106#2351C2212yescomplemented
107Q8×C4⋊C4C2212yescomplemented
108#2345C2216yescomplemented
109#2344C2216yescomplemented
110#2341C2212yes—
111#2341C2212yes—
112#2341C2212yes—
113#2341C2212yes—
114#2341C2212yes—
115#2341C2211yescharacteristic
116#2341C2211yescharacteristic, complemented
117#2341C2212yescomplemented
118D4×C22⋊C4C2216yes—
119D4×C22⋊C4C2216yes—
120D4×C22⋊C4C2216yes—
121D4×C22⋊C4C2216yes—
122#2328C2216yescomplemented
123#2324C2216yescomplemented
124#2319C2216yescomplemented
125#2314C2216yescomplemented
126#2311C2216yes—
127#2309C2216yes—
128C4×#124C2213yescomplemented
129C4×C22⋊Q8C2216yescomplemented
130C4×#121C2216yescomplemented
131#2298C2216yescomplemented
132#2297C2216yes—
133#2293C2216yescomplemented
134C2×#390C2216yes—
135#2290C2216yescomplemented
136#2276C2212yescomplemented
137C42×Q8C2211yescharacteristic, complemented
138C2×H(5,𝔽2)—216no—
139C2×H(5,𝔽2)—44no—
140C22×#41C2311yescharacteristic
141C22×#41C2311yescharacteristic
142C22×#41C2313yes—
143C22×#41C2312yes—
144C23×D4C2316yes—
145C23×D4C2313yes—
146#557—44no—
147#550—216no—
148#550—44no—
149C2×C4⋊Q8C2313yes—
150C2×#127C2316yes—
151C2×#127C2313yes—
152C2×#125C2316yes—
153C2×#124C2313yes—
154C2×#124C2316yes—
155C2×#123C23112yes—
156C2×#123C23112yes—
157C2×C22⋊Q8C2316yes—
158C2×#121C2316yes—
159C2×#121C2316yes—
160C2×#121C2313yes—
161C2×#121C2313yes—
162C2×#120C2316yes—
163C2×#120C23112yes—
164#520—216no—
165#520—44no—
166C4×#41—48no—
167C2×C4×Q8C2312yes—
168C2×C4×Q8C2312yes—
169C2×C4×Q8C2312yes—
170C2×C4×Q8C2311yescharacteristic
171C2×C4×Q8C2312yes—
172C2×C4×Q8C2312yes—
173C2×C4×Q8C2313yes—
174C2×C4×D4C2316yes—
175C2×C4×D4C2316yes—
176C2×C4×D4C2316yes—
177C2×C4×D4C2316yes—
178C2×C4×D4C2316yes—
179C2×C4×D4C2316yes—
180C2×C4×D4C2313yes—
181C2×C4×D4C23112yes—
182C2×#117C2316yes—
183C2×#117C2316yes—
184C2×#117C2313yes—
185C2×#117C23112yes—
186C22×C4⋊C4C2316yes—
187C22×C4⋊C4C2313yes—
188C22×C22⋊C4C23112yes—
189C22×C22⋊C4C23112yes—
190C22×C42C2316yes—
191#401C2312yes—
192#400C2313yes—
193#400C2316yes—
194#400C2312yes—
195#400C2316yes—
196#400C2316yes—
197#399C23112yes—
198#399C2316yes—
199#399C2316yes—
200#399C2313yes—
201#398C2311yescharacteristic
202#398C2316yes—
203#397C2316yes—
204#397C2313yes—
205#397C23112yes—
206#397C23112yes—
207#397C23112yes—
208#397C23112yes—
209#397C2316yes—
210#397C2316yes—
211#397C2316yes—
212#397C2316yes—
213#397C2316yes—
214#397C2316yes—
215#397C2316yes—
216#397C2316yes—
217#396C23112yes—
218#396C23112yes—
219#396C2316yes—
220#395C2311yescharacteristic
221#394C2313yes—
222#394C23112yes—
223#394C23112yes—
224#394C23112yes—
225#394C23112yes—
226#394C2316yes—
227#394C2316yes—
228#394C2316yes—
229#394C2316yes—
230#393C23112yes—
231#393C2313yes—
232#392C2316yes—
233#392C23112yes—
234#392C2313yes—
235#392C2316yes—
236#391C2316yes—
237#391C2313yes—
238#391C2316yes—
239#391C2312yes—
240#390C2316yes—
241#390C2316yes—
242#390C23112yes—
243#390C2316yes—
244#390C2316yes—
245#390C2316yes—
246#390C2316yes—
247#390C2316yes—
248#390C23112yes—
249#390C2316yes—
250#390C2316yes—
251#390C2316yes—
252#390C2316yes—
253#390C2316yes—
254#390C2316yes—
255#390C2316yes—
256#390C2316yes—
257#390C23112yes—
258#390C2313yes—
259#390C2316yes—
260#389C2316yes—
261#389C2316yes—
262#389C2316yes—
263#389C2316yes—
264#389C2316yes—
265#389C2316yes—
266#389C2316yes—
267#389C2316yes—
268#389C2316yes—
269#388C23112yes—
270#388C23112yes—
271#388C23112yes—
272#388C2316yes—
273#388C2316yes—
274#388C23112yes—
275#388C23112yes—
276#388C2316yes—
277#388C2316yes—
278#388C2316yes—
279#388C23112yes—
280#388C2316yes—
281#388C2316yes—
282#388C2316yes—
283#387C2316yes—
284#387C23112yes—
285#387C2316yes—
286#387C23112yes—
287#387C2316yes—
288#387C2316yes—
289#387C2316yes—
290#387C2312yes—
291#387C2312yes—
292#387C2312yes—
293#386C23112yes—
294#386C23112yes—
295#386C23112yes—
296#386C2316yes—
297#386C23112yes—
298#386C23112yes—
299#386C2316yes—
300#386C2316yes—
301#386C2316yes—
302#386C2316yes—
303#386C23112yes—
304#386C2316yes—
305#386C2316yes—
306#386C23112yes—
307#385C2316yes—
308#385C23112yes—
309#385C2316yes—
310#385C2316yes—
311#385C23112yes—
312#385C2316yes—
313#385C2316yes—
314#384C2316yes—
315#383C23112yes—
316#382C2316yes—
317#382C2316yes—
318#382C2316yes—
319#382C2311yescharacteristic
320#381C23112yes—
321#381C23112yes—
322#380C2316yes—
323#380C2316yes—
324#380C2316yes—
325#380C2316yes—
326#380C2316yes—
327#380C23112yes—
328#380C2316yes—
329#380C2313yes—
330#380C2313yes—
331#380C2316yes—
332#379C23112yes—
333#379C23112yes—
334#379C2316yes—
335C4×C4⋊C4C2316yes—
336C4×C4⋊C4C2316yes—
337C4×C4⋊C4C2316yes—
338C4×C4⋊C4C2316yes—
339C4×C4⋊C4C2313yes—
340C4×C4⋊C4C2316yes—
341C4×C4⋊C4C2316yes—
342C4×C4⋊C4C2316yes—
343C4×C4⋊C4C2316yes—
344C4×C22⋊C4C23112yes—
345C4×C22⋊C4C2316yes—
346C4×C22⋊C4C2316yes—
347C4×C22⋊C4C2316yes—
348C4×C22⋊C4C2316yes—
349C4×C22⋊C4C2316yes—
350C4×C22⋊C4C2313yes—
351C4×C22⋊C4C2316yes—
352C4×C22⋊C4C2313yes—
353C4×C22⋊C4C23112yes—
354#376C2316yes—
355C43C2313yes—
356C25C2416yes—
357H(5,𝔽2)—464no—
358C2×#41—28no—
359C2×#41—28no—
360C2×#41—28no—
361C2×#41—28no—
362C2×#41—24no—
363C2×#41—24no—
364C2×#41—224no—
365C2×#41—46no—
366C2×#41#41116yes—
367C22×Q8C2411yescharacteristic
368C22×Q8C2413yes—
369C22×Q8C2411yescharacteristic
370C22×D4—224no—
371C22×D4—224no—
372C22×D4—224no—
373C22×D4—412no—
374C22×D4—46no—
375C22×D4C2413yes—
376C22×D4C2413yes—
377C22×D4C2413yes—
378C22×D4C2416yes—
379C22×D4C2416yes—
380C22×D4C24112yes—
381C22×D4C2416yes—
382C22×D4C2413yes—
383C22×D4C2416yes—
384C23×C4C2413yes—
385C23×C4C2413yes—
386C23×C4C2416yes—
387C23×C4C24112yes—
388C23×C4C2416yes—
389C23×C4C2416yes—
390C23×C4C2416yes—
391C4⋊Q8—46no—
392#127—224no—
393#127—46no—
394#125—412no—
395#124—46no—
396#124—86no—
397#123—812no—
398#123—812no—
399C22⋊Q8—412no—
400#121—224no—
401#121—224no—
402#121—46no—
403#121—46no—
404#120—412no—
405#120—812no—
406C4×Q8—28no—
407C4×Q8—28no—
408C4×Q8—28no—
409C4×Q8—28no—
410C4×Q8—28no—
411C4×Q8—24no—
412C4×Q8—46no—
413C4×D4—224no—
414C4×D4—224no—
415C4×D4—224no—
416C4×D4—412no—
417C4×D4—412no—
418C4×D4—412no—
419C4×D4—46no—
420C4×D4—812no—
421#117—224no—
422#117—46no—
423#117—412no—
424#117—812no—
425C2×C4⋊C4—224no—
426C2×C4⋊C4—46no—
427C2×C4⋊C4C2416yes—
428C2×C4⋊C4C2416yes—
429C2×C4⋊C4C2416yes—
430C2×C4⋊C4C2416yes—
431C2×C4⋊C4C2412yes—
432C2×C4⋊C4C2416yes—
433C2×C4⋊C4C2412yes—
434C2×C4⋊C4C2413yes—
435C2×C4⋊C4C2416yes—
436C2×C4⋊C4C2412yes—
437C2×C4⋊C4C2413yes—
438C2×C4⋊C4C2411yescharacteristic
439C2×C4⋊C4C2416yes—
440C2×C4⋊C4C24112yes—
441C2×C4⋊C4C2411yescharacteristic
442C2×C4⋊C4C2416yes—
443C2×C4⋊C4C2411yescharacteristic
444C2×C4⋊C4C2416yes—
445C2×C4⋊C4C2416yes—
446C2×C4⋊C4C2416yes—
447C2×C4⋊C4C2416yes—
448C2×C4⋊C4C2416yes—
449C2×C4⋊C4C2416yes—
450C2×C4⋊C4C2416yes—
451C2×C22⋊C4—812no—
452C2×C22⋊C4—812no—
453C2×C22⋊C4C2416yes—
454C2×C22⋊C4C2416yes—
455C2×C22⋊C4C2416yes—
456C2×C22⋊C4C2416yes—
457C2×C22⋊C4C2416yes—
458C2×C22⋊C4C2416yes—
459C2×C22⋊C4C2416yes—
460C2×C22⋊C4C2416yes—
461C2×C22⋊C4C2416yes—
462C2×C22⋊C4C24112yes—
463C2×C22⋊C4C24112yes—
464C2×C22⋊C4C24112yes—
465C2×C22⋊C4C24112yes—
466C2×C22⋊C4C2416yes—
467C2×C22⋊C4C24112yes—
468C2×C22⋊C4C2416yes—
469C2×C22⋊C4C24112yes—
470C2×C22⋊C4C2416yes—
471C2×C22⋊C4C2413yes—
472C2×C22⋊C4C2413yes—
473C2×C22⋊C4C2416yes—
474C2×C22⋊C4C2416yes—
475C2×C22⋊C4C2416yes—
476C2×C22⋊C4C2416yes—
477C2×C22⋊C4C2416yes—
478C2×C22⋊C4C2416yes—
479C2×C22⋊C4C2416yes—
480C2×C22⋊C4C24112yes—
481C2×C22⋊C4C2416yes—
482C2×C22⋊C4C2416yes—
483C2×C42—412no—
484C2×C42C2416yes—
485C2×C42C2416yes—
486C2×C42C2416yes—
487C2×C42C2416yes—
488C2×C42C2413yes—
489C2×C42C2416yes—
490C2×C42C2411yescharacteristic
491C2×C42C2416yes—
492C2×C42C2416yes—
493C2×C42C24112yes—
494C2×C42C2413yes—
495C2×C42C2412yes—
496#95C2412yes—
497#95C2416yes—
498#95C2416yes—
499#95C2416yes—
500#95C2416yes—
501#95C2412yes—
502#95C2412yes—
503#95C2412yes—
504#95C2412yes—
505#95C2412yes—
506#95C2412yes—
507#95C2411yescharacteristic
508#95C2411yescharacteristic
509#95C2416yes—
510#95C2413yes—
511#95C2416yes—
512#95C2413yes—
513#95C2416yes—
514#95C2416yes—
515#95C2416yes—
516#95C2416yes—
517#95C24112yes—
518#95C24112yes—
519#95C2412yes—
520#95C2416yes—
521#95C2412yes—
522#95C2412yes—
523#95C2416yes—
524#95C2416yes—
525#95C2416yes—
526#95C2416yes—
527#95C24112yes—
528C24—224no—
529C24—46no—
530C24—46no—
531C24—412no—
532C24—46no—
533C24C2513yes—
534C24C2513yes—
535C24C2516yes—
536#41—264no—
537#41—448no—
538#41—416no—
539#41—416no—
540C2×Q8—24no—
541C2×Q8—26no—
542C2×Q8—41no—
543C2×Q8—43no—
544C2×Q8—43no—
545C2×Q8C2×#4118yes—
546C2×Q8H(5,𝔽2)14yes—
547C2×D4—212no—
548C2×D4—212no—
549C2×D4—212no—
550C2×D4—224no—
551C2×D4—212no—
552C2×D4—212no—
553C2×D4—212no—
554C2×D4—212no—
555C2×D4—212no—
556C2×D4—26no—
557C2×D4—26no—
558C2×D4—26no—
559C2×D4—496no—
560C2×D4—46no—
561C2×D4—43no—
562C2×D4—43no—
563C2×D4—412no—
564C2×D4—412no—
565C2×D4—46no—
566C2×D4—46no—
567C2×D4—43no—
568C2×D4—412no—
569C2×D4—46no—
570C2×D4—448no—
571C2×D4C2×#41124yes—
572C22×C4—212no—
573C22×C4—212no—
574C22×C4—224no—
575C22×C4—212no—
576C22×C4—212no—
577C22×C4—26no—
578C22×C4—26no—
579C22×C4—46no—
580C22×C4—46no—
581C22×C4—46no—
582C22×C4—46no—
583C22×C4—412no—
584C22×C4—412no—
585C22×C4—46no—
586C22×C4—46no—
587C22×C4—46no—
588C22×C4—412no—
589C22×C4C2×#41124yes—
590C22×C4C2511yescharacteristic
591C22×C4C2516yes—
592C22×C4C2512yes—
593C22×C4C2511yescharacteristic
594C22×C4C2516yes—
595C22×C4C2512yes—
596C22×C4C2516yes—
597C22×C4C2512yes—
598C22×C4C2512yes—
599C22×C4C2516yes—
600C22×C4C2512yes—
601C22×C4C2516yes—
602C22×C4C2513yes—
603C22×C4C2512yes—
604C22×C4C2511yescharacteristic
605C22×C4C2513yes—
606C4⋊C4—212no—
607C4⋊C4—212no—
608C4⋊C4—212no—
609C4⋊C4—24no—
610C4⋊C4—24no—
611C4⋊C4—212no—
612C4⋊C4—212no—
613C4⋊C4—212no—
614C4⋊C4—26no—
615C4⋊C4—24no—
616C4⋊C4—43no—
617C4⋊C4—41no—
618C4⋊C4—46no—
619C4⋊C4—412no—
620C4⋊C4—41no—
621C4⋊C4—46no—
622C4⋊C4—41no—
623C4⋊C4—46no—
624C4⋊C4—46no—
625C4⋊C4—46no—
626C4⋊C4—46no—
627C4⋊C4—46no—
628C4⋊C4—46no—
629C4⋊C4—46no—
630C22⋊C4—212no—
631C22⋊C4—212no—
632C22⋊C4—212no—
633C22⋊C4—212no—
634C22⋊C4—212no—
635C22⋊C4—46no—
636C22⋊C4—46no—
637C22⋊C4—46no—
638C22⋊C4—46no—
639C22⋊C4—412no—
640C22⋊C4—412no—
641C22⋊C4—412no—
642C22⋊C4—412no—
643C22⋊C4—46no—
644C22⋊C4—412no—
645C22⋊C4—46no—
646C22⋊C4—412no—
647C22⋊C4—43no—
648C22⋊C4—43no—
649C22⋊C4—46no—
650C22⋊C4—46no—
651C22⋊C4—46no—
652C22⋊C4—46no—
653C22⋊C4—46no—
654C22⋊C4—46no—
655C22⋊C4—46no—
656C22⋊C4—46no—
657C22⋊C4—412no—
658C22⋊C4—46no—
659C22⋊C4—46no—
660C42—212no—
661C42—212no—
662C42—212no—
663C42—212no—
664C42—212no—
665C42—26no—
666C42—22no—
667C42—42no—
668C42—46no—
669C42—46no—
670C42—412no—
671C42—43no—
672C23—26no—
673C23—26no—
674C23—26no—
675C23—26no—
676C23—26no—
677C23—26no—
678C23—26no—
679C23—26no—
680C23—23no—
681C23—23no—
682C23—23no—
683C23—23no—
684C23—23no—
685C23—23no—
686C23—26no—
687C23—26no—
688C23—424no—
689C23—824no—
690C23—824no—
691C23—166no—
692C23—166no—
693C23C22×#41112yes—
694C23C2611yescharacteristic
695Q8—44no—
696Q8—86no—
697Q8#551116yes—
698D4—248no—
699D4—424no—
700D4—412no—
701D4—412no—
702D4—412no—
703D4—86no—
704D4—824no—
705D4—812no—
706D4—166no—
707C2×C4—22no—
708C2×C4—21no—
709C2×C4—22no—
710C2×C4—21no—
711C2×C4—248no—
712C2×C4—22no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—26no—
716C2×C4—26no—
717C2×C4—26no—
718C2×C4—22no—
719C2×C4—22no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—26no—
723C2×C4—26no—
724C2×C4—23no—
725C2×C4—21no—
726C2×C4—21no—
727C2×C4—22no—
728C2×C4—26no—
729C2×C4—22no—
730C2×C4—26no—
731C2×C4—22no—
732C2×C4—26no—
733C2×C4—22no—
734C2×C4—26no—
735C2×C4—26no—
736C2×C4—26no—
737C2×C4—26no—
738C2×C4—22no—
739C2×C4—26no—
740C2×C4—22no—
741C2×C4—22no—
742C2×C4—22no—
743C2×C4—26no—
744C2×C4—26no—
745C2×C4—26no—
746C2×C4—22no—
747C2×C4—22no—
748C2×C4—412no—
749C2×C4—412no—
750C2×C4—824no—
751C2×C4—812no—
752C2×C4—812no—
753C2×C4—166no—
754C2×C4C22×#4114yes—
755C2×C4C22×#41112yes—
756C2×C4C2×H(5,𝔽2)16yes—
757C2×C4#58512yes—
758C22—212no—
759C22—212no—
760C22—212no—
761C22—46no—
762C22—46no—
763C22—46no—
764C22—46no—
765C22—46no—
766C22—46no—
767C22—43no—
768C22—43no—
769C22—46no—
770C22—46no—
771C22—43no—
772C22—43no—
773C22—43no—
774C22—43no—
775C22—1624no—
776C22C23×#4112yes—
777C22C22×H(5,𝔽2)11yescharacteristic
778C22C2×#58511yescharacteristic
779C22H(7,𝔽2)12yes—
780C22H(7,𝔽2)11yescharacteristic
781C4—22no—
782C4—24no—
783C4—42no—
784C4—42no—
785C4—46no—
786C4—42no—
787C4—46no—
788C4—43no—
789C4—46no—
790C4—46no—
791C4—42no—
792C4—42no—
793C4—46no—
794C4—41no—
795C4—41no—
796C4C2×#551112yes—
797C2—412no—
798C2—83no—
799C2—83no—
800C2C22×#55111yescharacteristic
801C2#6285812yes—
802C2#6289911yescharacteristic
803C2#6301012yes—
804C2#6306611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36091C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59945C2semidirect
2. #59637C2semidirect
3. #52257C2semidirect
4. #45214C2semidirect
5. #45115C2semidirect
6. #45031C2semidirect
7. #45019C2semidirect
8. #39567C2semidirect
9. #38250C2semidirect
10. #38112C2semidirect
11. #36583C2semidirect
12. #36431C2semidirect
14. #36076C2semidirect
15. #36059C2semidirect
16. #36005C2semidirect
17. #34295C2semidirect
18. #34263C2semidirect
19. #34258C2semidirect
21. C2×#557C22semidirect
25. C2×#520C22semidirect
27. #2858C22semidirect
28. #2851C22semidirect
29. #2799C22semidirect
30. #2798C22semidirect
31. #2797C22semidirect
32. #2797C22semidirect
33. #2796C22semidirect
34. #2789C22semidirect
35. #2786C22semidirect
36. #2782C22semidirect
37. #2778C22semidirect
38. #2752C22semidirect
39. #2749C22semidirect
40. #2740C22semidirect
41. #2735C22semidirect
42. #2730C22semidirect
43. #2728C22semidirect
44. #2697C22semidirect
45. #2693C22semidirect
46. #2684C22semidirect
47. #2644C22semidirect
48. #2624C22semidirect
49. #2624C22semidirect
51. #2602C22semidirect
52. #2598C22semidirect
53. #2580C22semidirect
54. #2572C22semidirect
55. #2566C22semidirect
56. #2557C22semidirect
57. #2548C22semidirect
58. #2547C22semidirect
59. #2523C22semidirect
60. #2513C22semidirect
61. #2513C22semidirect
62. #2513C22semidirect
63. #2504C22semidirect
64. #2501C22semidirect
65. #2495C22semidirect
66. #2495C22semidirect
67. #2495C22semidirect
68. #2490C22semidirect
69. #2490C22semidirect
70. #2487C22semidirect
71. #2486C22semidirect
72. #2483C22semidirect
73. #2482C22semidirect
74. #2472C22semidirect
75. #2471C22semidirect
76. #2454C22semidirect
77. #2452C22semidirect
78. #2445C22semidirect
79. #2445C22semidirect
80. #2445C22semidirect
81. #2441C22semidirect
82. #2439C22semidirect
85. #2422C22semidirect
86. #2420C22semidirect
87. #2420C22semidirect
88. #2418C22semidirect
89. #2412C22semidirect
90. #2411C22semidirect
93. #2401C22semidirect
94. #2395C22semidirect
95. #2395C22semidirect
97. #2366C22semidirect
98. #2363C22semidirect
99. #2361C22semidirect
100. #2358C22semidirect
101. #2357C22semidirect
102. #2354C22semidirect
103. #2352C22semidirect
104. #2351C22semidirect
105. #2351C22semidirect
106. #2351C22semidirect
107. Q8×C4⋊C4C22semidirect
108. #2345C22semidirect
109. #2344C22semidirect
116. #2341C22semidirect
117. #2341C22semidirect
122. #2328C22semidirect
123. #2324C22semidirect
124. #2319C22semidirect
125. #2314C22semidirect
128. C4×#124C22semidirect
129. C4×C22⋊Q8C22semidirect
130. C4×#121C22semidirect
131. #2298C22semidirect
133. #2293C22semidirect
135. #2290C22semidirect
136. #2276C22semidirect
137. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#599452
#596372
#522572
#452142
#451152
#450312
#450192
#395672
#382502
#381122
#365832
#364312
#360912
#360762
#360592
#360052
#342952
#342632
#342582