Finite Group Databasebeta

← #7699027

Subgroups — #7699027

Order 512.

5775 conjugacy classes of subgroups.

The subgroup lattice has 1392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59637C213yesmaximal, complemented
2#59480C213yesmaximal, complemented
3#59208C213yesmaximal, complemented
4#52197C213yesmaximal, complemented
5#45380C213yesmaximal, complemented
6#45188C213yesmaximal, complemented
7#45061C213yesmaximal, complemented
8#45013C213yesmaximal, complemented
9#44959C213yesmaximal, complemented
10#44916C213yesmaximal, complemented
11#39565C213yesmaximal, complemented
12#39066C213yesmaximal, complemented
13#38206C213yesmaximal, complemented
14#38112C213yesmaximal, complemented
15#38056C213yesmaximal, complemented
16#37975C213yesmaximal, complemented
17#36585C211yesmaximal, characteristic, complemented
18#36433C211yesmaximal, characteristic, complemented
19#36431C211yesmaximal, characteristic, complemented
20#36091C211yesmaximal, characteristic
21#36076C211yesmaximal, characteristic, complemented
22#36076C211yesmaximal, characteristic, complemented
23#36049C211yesmaximal, characteristic, complemented
24#36040C211yesmaximal, characteristic, complemented
25#35898C211yesmaximal, characteristic, complemented
26#34313C211yesmaximal, characteristic, complemented
27#34295C211yesmaximal, characteristic, complemented
28#34263C211yesmaximal, characteristic, complemented
29#34258C211yesmaximal, characteristic, complemented
30#34258C211yesmaximal, characteristic, complemented
31#34197C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#520C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×#520C2211yescharacteristic, complemented
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2860C2213yescomplemented
43#2854C2213yescomplemented
44#2851C2213yescomplemented
45#2797C2216yescomplemented
46#2786C2216yescomplemented
47#2778C2216yescomplemented
48#2760C2216yescomplemented
49#2759C2213yescomplemented
50#2758C2211yescharacteristic, complemented
51#2757C2213yescomplemented
52#2756C2213yescomplemented
53#2755C2213yescomplemented
54#2754C2213yescomplemented
55#2753C2216yescomplemented
56#2753C2213yescomplemented
57#2752C2216yescomplemented
58#2752C2213yescomplemented
59#2751C2213yescomplemented
60#2750C2213yescomplemented
61#2749C2216yescomplemented
62#2749C2213yescomplemented
63#2746C2216yescomplemented
64#2746C2213yescomplemented
65#2740C2213yescomplemented
66#2736C2216yescomplemented
67#2723C2213yescomplemented
68#2706C2216yescomplemented
69#2705C2213yescomplemented
70#2696C2213yescomplemented
71#2685C2216yescomplemented
72#2685C2216yescomplemented
73#2684C2216yescomplemented
74#2644C2213yescomplemented
75#2641C2213yescomplemented
76#2628C2213yescomplemented
77#2624C2213yescomplemented
78#2624C2213yescomplemented
79#2615C2213yes—
80#2610C2216yescomplemented
81#2603C2216yescomplemented
82#2602C2216yescomplemented
83#2600C2216yescomplemented
84#2580C2213yescomplemented
85#2580C2213yescomplemented
86#2566C2213yescomplemented
87#2563C2213yescomplemented
88#2562C2213yescomplemented
89#2557C2216yescomplemented
90#2548C2213yescomplemented
91#2534C2216yescomplemented
92#2534C2216yescomplemented
93#2527C2216yescomplemented
94#2526C2216yescomplemented
95#2513C2213yescomplemented
96#2513C2213yescomplemented
97#2513C2213yescomplemented
98#2513C2213yescomplemented
99#2512C2213yescomplemented
100#2512C2213yescomplemented
101#2504C2213yescomplemented
102#2504C2213yescomplemented
103#2500C2213yescomplemented
104#2497C2213yescomplemented
105#2496C2213yescomplemented
106#2494C2213yescomplemented
107#2494C2213yescomplemented
108#2494C2213yescomplemented
109#2494C2213yescomplemented
110#2491C2213yescomplemented
111#2491C2213yescomplemented
112#2490C2213yescomplemented
113#2490C2213yescomplemented
114#2486C2213yescomplemented
115#2486C2213yescomplemented
116#2485C2213yescomplemented
117#2483C2216yescomplemented
118#2482C2216yescomplemented
119#2480C2216yescomplemented
120#2472C2216yescomplemented
121#2471C2216yescomplemented
122#2467C2216yescomplemented
123#2457C2216yescomplemented
124#2454C2213yescomplemented
125#2454C2213yescomplemented
126#2454C2213yescomplemented
127#2452C2213yescomplemented
128#2445C2213yescomplemented
129#2445C2213yescomplemented
130#2445C2213yescomplemented
131#2445C2213yescomplemented
132#2445C2213yescomplemented
133#2445C2213yescomplemented
134#2442C2213yescomplemented
135#2442C2213yescomplemented
136#2441C2213yescomplemented
137#2439C2213yescomplemented
138#2433C2213yes—
139#2433C2213yes—
140#2433C2213yes—
141#2422C2213yescomplemented
142#2420C2213yescomplemented
143#2420C2213yescomplemented
144#2420C2213yescomplemented
145#2420C2213yescomplemented
146#2420C2213yescomplemented
147#2418C2216yescomplemented
148#2418C2216yescomplemented
149#2412C2216yescomplemented
150#2412C2216yescomplemented
151#2411C2216yescomplemented
152#2408C2213yes—
153#2408C2213yes—
154#2408C2213yes—
155#2401C2213yescomplemented
156#2398C2213yescomplemented
157#2396C2213yescomplemented
158#2395C2213yescomplemented
159#2395C2213yescomplemented
160#2388C2213yes—
161#2366C2213yescomplemented
162#2366C2213yescomplemented
163#2363C2213yescomplemented
164#2361C2213yescomplemented
165#2361C2213yescomplemented
166#2361C2213yescomplemented
167#2358C2216yescomplemented
168#2357C2213yescomplemented
169#2357C2213yescomplemented
170#2357C2213yescomplemented
171#2354C2213yescomplemented
172#2352C2213yescomplemented
173#2351C2211yescharacteristic, complemented
174#2351C2211yescharacteristic, complemented
175#2351C2211yescharacteristic, complemented
176#2351C2211yescharacteristic, complemented
177#2351C2211yescharacteristic, complemented
178#2351C2211yescharacteristic, complemented
179Q8×C4⋊C4C2211yescharacteristic, complemented
180Q8×C4⋊C4C2211yescharacteristic, complemented
181D4×C4⋊C4C2213yescomplemented
182#2346C2213yescomplemented
183#2346C2213yescomplemented
184#2345C2213yescomplemented
185#2344C2213yescomplemented
186#2341C2211yescharacteristic
187#2341C2211yescharacteristic
188#2341C2211yescharacteristic
189#2341C2211yescharacteristic
190#2341C2211yescharacteristic
191#2341C2211yescharacteristic
192#2341C2211yescharacteristic
193#2341C2211yescharacteristic
194#2341C2211yescharacteristic
195#2341C2211yescharacteristic
196#2341C2211yescharacteristic
197#2341C2211yescharacteristic, complemented
198#2341C2211yescharacteristic, complemented
199#2341C2211yescharacteristic, complemented
200D4×C22⋊C4C2213yes—
201D4×C22⋊C4C2213yes—
202D4×C22⋊C4C2213yes—
203D4×C22⋊C4C2213yes—
204D4×C22⋊C4C2213yes—
205D4×C22⋊C4C2213yes—
206D4×C22⋊C4C2213yes—
207D4×C22⋊C4C2213yes—
208#2328C2213yescomplemented
209#2324C2213yescomplemented
210#2324C2213yescomplemented
211#2324C2213yescomplemented
212#2319C2213yescomplemented
213#2319C2213yescomplemented
214#2319C2213yescomplemented
215#2314C2213yescomplemented
216#2311C2213yes—
217#2311C2213yes—
218#2309C2213yes—
219#2309C2213yes—
220C4×#127C2213yescomplemented
221C4×#126C2213yescomplemented
222C4×C22⋊Q8C2213yescomplemented
223C4×#123C2213yescomplemented
224C4×#121C2213yescomplemented
225#2298C2213yescomplemented
226#2297C2213yes—
227#2297C2213yes—
228#2293C2213yescomplemented
229#2293C2213yescomplemented
230C2×#390C2213yes—
231C2×#390C2213yes—
232#2290C2213yescomplemented
233#2283C2213yescomplemented
234#2283C2213yescomplemented
235#2276C2211yescharacteristic, complemented
236#2276C2211yescharacteristic, complemented
237C42×Q8C2211yescharacteristic, complemented
238C2×H(5,𝔽2)—28no—
239C2×H(5,𝔽2)—28no—
240C2×H(5,𝔽2)—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2313yes—
244C22×#41C2311yescharacteristic
245C22×#41C2311yescharacteristic
246C23×D4C2313yes—
247C23×D4C2313yes—
248C23×D4C2313yes—
249#557—44no—
250#550—28no—
251#550—28no—
252#550—44no—
253C2×C4⋊Q8C2313yes—
254C2×#127C2313yes—
255C2×#127C2313yes—
256C2×#127C2313yes—
257C2×#126C2313yes—
258C2×#126C2316yes—
259C2×#125C2313yes—
260C2×#125C2313yes—
261C2×#124C2316yes—
262C2×#123C2313yes—
263C2×#123C2316yes—
264C2×#123C2316yes—
265C2×#123C2316yes—
266C2×C22⋊Q8C2313yes—
267C2×#121C2313yes—
268C2×#121C2313yes—
269C2×#121C2313yes—
270C2×#121C2313yes—
271C2×#121C2313yes—
272C2×#121C2313yes—
273C2×#120C2316yes—
274C2×#120C2316yes—
275C2×#120C2316yes—
276#520—28no—
277#520—44no—
278#520—44no—
279C4×#41—28no—
280C4×#41—44no—
281C2×C4×Q8C2311yescharacteristic
282C2×C4×Q8C2311yescharacteristic
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×Q8C2311yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2313yes—
293C2×C4×D4C2313yes—
294C2×C4×D4C2313yes—
295C2×C4×D4C2313yes—
296C2×C4×D4C2313yes—
297C2×C4×D4C2313yes—
298C2×C4×D4C2313yes—
299C2×C4×D4C2313yes—
300C2×C4×D4C2313yes—
301C2×C4×D4C2313yes—
302C2×C4×D4C2313yes—
303C2×C4×D4C2313yes—
304C2×C4×D4C2313yes—
305C2×C4×D4C2313yes—
306C2×C4×D4C2316yes—
307C2×C4×D4C2316yes—
308C2×C4×D4C2316yes—
309C2×#117C2313yes—
310C2×#117C2313yes—
311C2×#117C2313yes—
312C2×#117C2313yes—
313C2×#117C2313yes—
314C2×#117C2316yes—
315C22×C4⋊C4C2313yes—
316C22×C4⋊C4C2313yes—
317C22×C4⋊C4C2313yes—
318C22×C22⋊C4C2316yes—
319C22×C22⋊C4C2316yes—
320C22×C22⋊C4C2316yes—
321C22×C22⋊C4C2316yes—
322C22×C42C2313yes—
323C22×C42C2313yes—
324#401C2313yes—
325#401C2316yes—
326#400C2313yes—
327#400C2316yes—
328#400C2311yescharacteristic
329#400C2311yescharacteristic
330#400C2311yescharacteristic
331#400C2311yescharacteristic
332#400C2311yescharacteristic
333#400C2313yes—
334#400C2313yes—
335#399C2313yes—
336#399C2316yes—
337#399C2313yes—
338#399C2313yes—
339#399C2316yes—
340#398C2313yes—
341#398C2313yes—
342#398C2313yes—
343#398C2313yes—
344#397C2313yes—
345#397C2316yes—
346#397C2316yes—
347#397C2316yes—
348#397C2313yes—
349#397C2316yes—
350#397C2316yes—
351#397C2313yes—
352#397C2313yes—
353#397C2313yes—
354#397C2313yes—
355#397C2313yes—
356#397C2313yes—
357#397C2313yes—
358#397C2313yes—
359#397C2313yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#396C2316yes—
364#396C2316yes—
365#396C2316yes—
366#396C2313yes—
367#396C2313yes—
368#396C2313yes—
369#395C2313yes—
370#395C2311yescharacteristic
371#394C2316yes—
372#394C2316yes—
373#394C2316yes—
374#394C2316yes—
375#394C2316yes—
376#394C2316yes—
377#394C2316yes—
378#394C2313yes—
379#394C2316yes—
380#394C2316yes—
381#394C2313yes—
382#394C2313yes—
383#394C2313yes—
384#394C2313yes—
385#394C2313yes—
386#394C2313yes—
387#394C2313yes—
388#394C2313yes—
389#394C2316yes—
390#393C2313yes—
391#393C2316yes—
392#393C2316yes—
393#393C2313yes—
394#393C2313yes—
395#393C2313yes—
396#392C2316yes—
397#392C2313yes—
398#392C2316yes—
399#392C2316yes—
400#392C2313yes—
401#392C2313yes—
402#391C2313yes—
403#391C2313yes—
404#391C2313yes—
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#390C2313yes—
408#390C2313yes—
409#390C2316yes—
410#390C2313yes—
411#390C2313yes—
412#390C2313yes—
413#390C2313yes—
414#390C2313yes—
415#390C2316yes—
416#390C2316yes—
417#390C2313yes—
418#390C2313yes—
419#390C2313yes—
420#390C2313yes—
421#390C2313yes—
422#390C2313yes—
423#390C2313yes—
424#390C2313yes—
425#390C2313yes—
426#390C2313yes—
427#390C2313yes—
428#390C2313yes—
429#390C2313yes—
430#390C2316yes—
431#390C2313yes—
432#390C2313yes—
433#390C2313yes—
434#390C2313yes—
435#390C2313yes—
436#390C2313yes—
437#390C2313yes—
438#390C2313yes—
439#390C2313yes—
440#390C2313yes—
441#390C2313yes—
442#390C2316yes—
443#390C2313yes—
444#390C2313yes—
445#390C2313yes—
446#389C2313yes—
447#389C2313yes—
448#389C2313yes—
449#389C2313yes—
450#389C2313yes—
451#389C2313yes—
452#389C2313yes—
453#389C2313yes—
454#389C2313yes—
455#389C2313yes—
456#389C2313yes—
457#389C2313yes—
458#389C2313yes—
459#389C2313yes—
460#389C2313yes—
461#389C2313yes—
462#389C2313yes—
463#389C2313yes—
464#389C2311yescharacteristic
465#388C2313yes—
466#388C2313yes—
467#388C2313yes—
468#388C2316yes—
469#388C2316yes—
470#388C2316yes—
471#388C2316yes—
472#388C2313yes—
473#388C2316yes—
474#388C2316yes—
475#388C2316yes—
476#388C2316yes—
477#388C2313yes—
478#388C2313yes—
479#388C2316yes—
480#388C2313yes—
481#388C2316yes—
482#388C2316yes—
483#388C2316yes—
484#388C2313yes—
485#388C2316yes—
486#388C2316yes—
487#388C2313yes—
488#388C2316yes—
489#388C2313yes—
490#388C2313yes—
491#388C2313yes—
492#388C2313yes—
493#388C2313yes—
494#388C2313yes—
495#387C2313yes—
496#387C2313yes—
497#387C2313yes—
498#387C2313yes—
499#387C2316yes—
500#387C2313yes—
501#387C2316yes—
502#387C2313yes—
503#387C2316yes—
504#387C2313yes—
505#387C2313yes—
506#387C2311yescharacteristic
507#387C2313yes—
508#387C2311yescharacteristic
509#387C2311yescharacteristic
510#387C2311yescharacteristic
511#386C2316yes—
512#386C2316yes—
513#386C2316yes—
514#386C2316yes—
515#386C2316yes—
516#386C2316yes—
517#386C2316yes—
518#386C2313yes—
519#386C2316yes—
520#386C2316yes—
521#386C2313yes—
522#386C2313yes—
523#386C2313yes—
524#386C2313yes—
525#386C2313yes—
526#386C2313yes—
527#386C2313yes—
528#386C2313yes—
529#386C2316yes—
530#386C2316yes—
531#386C2316yes—
532#386C2313yes—
533#386C2316yes—
534#386C2316yes—
535#386C2313yes—
536#385C2313yes—
537#385C2316yes—
538#385C2313yes—
539#385C2316yes—
540#385C2316yes—
541#385C2313yes—
542#385C2316yes—
543#385C2316yes—
544#385C2316yes—
545#385C2313yes—
546#385C2313yes—
547#384C2313yes—
548#384C2313yes—
549#383C2311yescharacteristic
550#383C2313yes—
551#383C2311yescharacteristic
552#382C2313yes—
553#382C2313yes—
554#382C2313yes—
555#382C2313yes—
556#382C2313yes—
557#382C2313yes—
558#382C2313yes—
559#382C2313yes—
560#381C2316yes—
561#381C2316yes—
562#381C2316yes—
563#381C2313yes—
564#381C2313yes—
565#381C2316yes—
566#381C2313yes—
567#380C2313yes—
568#380C2313yes—
569#380C2313yes—
570#380C2313yes—
571#380C2316yes—
572#380C2316yes—
573#380C2313yes—
574#380C2313yes—
575#380C2313yes—
576#380C2313yes—
577#380C2313yes—
578#380C2313yes—
579#380C2313yes—
580#380C2313yes—
581#380C2313yes—
582#380C2316yes—
583#380C2313yes—
584#380C2313yes—
585#380C2313yes—
586#380C2313yes—
587#379C2316yes—
588#379C2316yes—
589#379C2316yes—
590#379C2316yes—
591#379C2316yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2313yes—
601C4×C4⋊C4C2313yes—
602C4×C4⋊C4C2313yes—
603C4×C4⋊C4C2313yes—
604C4×C4⋊C4C2313yes—
605C4×C4⋊C4C2313yes—
606C4×C4⋊C4C2313yes—
607C4×C4⋊C4C2313yes—
608C4×C4⋊C4C2313yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2313yes—
611C4×C22⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2313yes—
615C4×C22⋊C4C2313yes—
616C4×C22⋊C4C2313yes—
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2313yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2316yes—
624C4×C22⋊C4C2316yes—
625C4×C22⋊C4C2316yes—
626#376C2313yes—
627#376C2313yes—
628#376C2316yes—
629C43C2313yes—
630C25C2416yes—
631H(5,𝔽2)—464no—
632C2×#41—24no—
633C2×#41—24no—
634C2×#41—24no—
635C2×#41—24no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—212no—
643C2×#41—212no—
644C2×#41—46no—
645C2×#41#4118yes—
646C2×#41#4118yes—
647C22×Q8C2411yescharacteristic
648C22×Q8C2413yes—
649C22×Q8C2411yescharacteristic
650C22×D4—212no—
651C22×D4—212no—
652C22×D4—212no—
653C22×D4—212no—
654C22×D4—212no—
655C22×D4—212no—
656C22×D4—46no—
657C22×D4—46no—
658C22×D4—46no—
659C22×D4C2413yes—
660C22×D4C2413yes—
661C22×D4C2413yes—
662C22×D4C2413yes—
663C22×D4C2413yes—
664C22×D4C2413yes—
665C22×D4C2413yes—
666C22×D4C2413yes—
667C22×D4C2416yes—
668C22×D4C2416yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2416yes—
672C23×C4C2413yes—
673C23×C4C2413yes—
674C23×C4C2413yes—
675C23×C4C2413yes—
676C23×C4C2416yes—
677C23×C4C2413yes—
678C23×C4C2413yes—
679C23×C4C2416yes—
680C23×C4C2413yes—
681C23×C4C2413yes—
682C23×C4C2416yes—
683C4⋊Q8—46no—
684#127—212no—
685#127—212no—
686#127—46no—
687#126—46no—
688#126—86no—
689#125—46no—
690#125—46no—
691#124—86no—
692#123—46no—
693#123—86no—
694#123—86no—
695#123—86no—
696C22⋊Q8—46no—
697#121—212no—
698#121—212no—
699#121—212no—
700#121—212no—
701#121—46no—
702#121—46no—
703#120—412no—
704#120—86no—
705#120—86no—
706C4×Q8—24no—
707C4×Q8—24no—
708C4×Q8—24no—
709C4×Q8—24no—
710C4×Q8—24no—
711C4×Q8—24no—
712C4×Q8—24no—
713C4×Q8—24no—
714C4×Q8—24no—
715C4×Q8—24no—
716C4×Q8—24no—
717C4×Q8—46no—
718C4×D4—212no—
719C4×D4—212no—
720C4×D4—212no—
721C4×D4—212no—
722C4×D4—212no—
723C4×D4—212no—
724C4×D4—46no—
725C4×D4—46no—
726C4×D4—46no—
727C4×D4—46no—
728C4×D4—46no—
729C4×D4—46no—
730C4×D4—46no—
731C4×D4—86no—
732C4×D4—86no—
733C4×D4—86no—
734#117—212no—
735#117—212no—
736#117—46no—
737#117—46no—
738#117—46no—
739#117—86no—
740C2×C4⋊C4—212no—
741C2×C4⋊C4—46no—
742C2×C4⋊C4—46no—
743C2×C4⋊C4C2413yes—
744C2×C4⋊C4C2413yes—
745C2×C4⋊C4C2413yes—
746C2×C4⋊C4C2413yes—
747C2×C4⋊C4C2413yes—
748C2×C4⋊C4C2413yes—
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2413yes—
751C2×C4⋊C4C2413yes—
752C2×C4⋊C4C2413yes—
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2413yes—
756C2×C4⋊C4C2413yes—
757C2×C4⋊C4C2413yes—
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2413yes—
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2413yes—
762C2×C4⋊C4C2413yes—
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2416yes—
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2413yes—
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2416yes—
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2413yes—
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2413yes—
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2416yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2413yes—
784C2×C4⋊C4C2413yes—
785C2×C22⋊C4—86no—
786C2×C22⋊C4—86no—
787C2×C22⋊C4—86no—
788C2×C22⋊C4—86no—
789C2×C22⋊C4C2413yes—
790C2×C22⋊C4C2416yes—
791C2×C22⋊C4C2413yes—
792C2×C22⋊C4C2413yes—
793C2×C22⋊C4C2413yes—
794C2×C22⋊C4C2413yes—
795C2×C22⋊C4C2413yes—
796C2×C22⋊C4C2413yes—
797C2×C22⋊C4C2413yes—
798C2×C22⋊C4C2413yes—
799C2×C22⋊C4C2413yes—
800C2×C22⋊C4C2413yes—
801C2×C22⋊C4C2413yes—
802C2×C22⋊C4C2413yes—
803C2×C22⋊C4C2413yes—
804C2×C22⋊C4C2413yes—
805C2×C22⋊C4C2413yes—
806C2×C22⋊C4C2416yes—
807C2×C22⋊C4C2416yes—
808C2×C22⋊C4C2416yes—
809C2×C22⋊C4C2416yes—
810C2×C22⋊C4C2416yes—
811C2×C22⋊C4C2416yes—
812C2×C22⋊C4C2416yes—
813C2×C22⋊C4C2416yes—
814C2×C22⋊C4C2413yes—
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2416yes—
817C2×C22⋊C4C2413yes—
818C2×C22⋊C4C2413yes—
819C2×C22⋊C4C2413yes—
820C2×C22⋊C4C2416yes—
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2413yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2413yes—
825C2×C22⋊C4C2413yes—
826C2×C22⋊C4C2416yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2413yes—
831C2×C22⋊C4C2416yes—
832C2×C22⋊C4C2416yes—
833C2×C22⋊C4C2413yes—
834C2×C22⋊C4C2413yes—
835C2×C22⋊C4C2416yes—
836C2×C22⋊C4C2416yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C22⋊C4C2413yes—
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2413yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2413yes—
845C2×C42—212no—
846C2×C42—46no—
847C2×C42C2413yes—
848C2×C42C2413yes—
849C2×C42C2413yes—
850C2×C42C2413yes—
851C2×C42C2413yes—
852C2×C42C2413yes—
853C2×C42C2413yes—
854C2×C42C2413yes—
855C2×C42C2413yes—
856C2×C42C2413yes—
857C2×C42C2413yes—
858C2×C42C2413yes—
859C2×C42C2411yescharacteristic
860C2×C42C2411yescharacteristic
861C2×C42C2413yes—
862C2×C42C2413yes—
863C2×C42C2416yes—
864C2×C42C2413yes—
865C2×C42C2413yes—
866C2×C42C2416yes—
867C2×C42C2411yescharacteristic
868#95C2411yescharacteristic
869#95C2411yescharacteristic
870#95C2413yes—
871#95C2413yes—
872#95C2413yes—
873#95C2413yes—
874#95C2413yes—
875#95C2413yes—
876#95C2413yes—
877#95C2413yes—
878#95C2416yes—
879#95C2416yes—
880#95C2413yes—
881#95C2411yescharacteristic
882#95C2411yescharacteristic
883#95C2411yescharacteristic
884#95C2411yescharacteristic
885#95C2411yescharacteristic
886#95C2411yescharacteristic
887#95C2411yescharacteristic
888#95C2411yescharacteristic
889#95C2411yescharacteristic
890#95C2411yescharacteristic
891#95C2411yescharacteristic
892#95C2411yescharacteristic
893#95C2411yescharacteristic
894#95C2411yescharacteristic
895#95C2413yes—
896#95C2413yes—
897#95C2413yes—
898#95C2413yes—
899#95C2413yes—
900#95C2413yes—
901#95C2413yes—
902#95C2413yes—
903#95C2413yes—
904#95C2413yes—
905#95C2413yes—
906#95C2413yes—
907#95C2413yes—
908#95C2413yes—
909#95C2416yes—
910#95C2416yes—
911#95C2411yescharacteristic
912#95C2416yes—
913#95C2411yescharacteristic
914#95C2411yescharacteristic
915#95C2411yescharacteristic
916#95C2411yescharacteristic
917#95C2411yescharacteristic
918#95C2413yes—
919#95C2413yes—
920#95C2413yes—
921#95C2413yes—
922#95C2413yes—
923#95C2413yes—
924#95C2413yes—
925#95C2416yes—
926#95C2416yes—
927C24—212no—
928C24—212no—
929C24—46no—
930C24—46no—
931C24—46no—
932C24—46no—
933C24—46no—
934C24C2513yes—
935C24C2513yes—
936C24C2513yes—
937C24C2513yes—
938#41—232no—
939#41—232no—
940#41—448no—
941#41—416no—
942#41—416no—
943C2×Q8—22no—
944C2×Q8—22no—
945C2×Q8—41no—
946C2×Q8—43no—
947C2×Q8—43no—
948C2×Q8—43no—
949C2×Q8C2×#4114yes—
950C2×Q8C2×#4114yes—
951C2×Q8H(5,𝔽2)14yes—
952C2×D4—26no—
953C2×D4—26no—
954C2×D4—26no—
955C2×D4—26no—
956C2×D4—26no—
957C2×D4—26no—
958C2×D4—212no—
959C2×D4—212no—
960C2×D4—26no—
961C2×D4—26no—
962C2×D4—26no—
963C2×D4—26no—
964C2×D4—26no—
965C2×D4—26no—
966C2×D4—26no—
967C2×D4—26no—
968C2×D4—26no—
969C2×D4—26no—
970C2×D4—26no—
971C2×D4—26no—
972C2×D4—26no—
973C2×D4—448no—
974C2×D4—448no—
975C2×D4—43no—
976C2×D4—43no—
977C2×D4—43no—
978C2×D4—43no—
979C2×D4—43no—
980C2×D4—46no—
981C2×D4—46no—
982C2×D4—46no—
983C2×D4—43no—
984C2×D4—43no—
985C2×D4—46no—
986C2×D4—43no—
987C2×D4—43no—
988C2×D4—46no—
989C2×D4—46no—
990C2×D4—46no—
991C2×D4—448no—
992C2×D4C2×#41112yes—
993C2×D4C2×#41112yes—
994C22×C4—26no—
995C22×C4—26no—
996C22×C4—26no—
997C22×C4—26no—
998C22×C4—26no—
999C22×C4—26no—
1000C22×C4—212no—
1001C22×C4—26no—
1002C22×C4—26no—
1003C22×C4—26no—
1004C22×C4—26no—
1005C22×C4—26no—
1006C22×C4—26no—
1007C22×C4—43no—
1008C22×C4—43no—
1009C22×C4—43no—
1010C22×C4—43no—
1011C22×C4—43no—
1012C22×C4—43no—
1013C22×C4—46no—
1014C22×C4—46no—
1015C22×C4—43no—
1016C22×C4—43no—
1017C22×C4—43no—
1018C22×C4—43no—
1019C22×C4—46no—
1020C22×C4—46no—
1021C22×C4—46no—
1022C22×C4—46no—
1023C22×C4—46no—
1024C22×C4—46no—
1025C22×C4C2×#41112yes—
1026C22×C4C2×#41112yes—
1027C22×C4C2511yescharacteristic
1028C22×C4C2511yescharacteristic
1029C22×C4C2511yescharacteristic
1030C22×C4C2513yes—
1031C22×C4C2511yescharacteristic
1032C22×C4C2511yescharacteristic
1033C22×C4C2513yes—
1034C22×C4C2511yescharacteristic
1035C22×C4C2511yescharacteristic
1036C22×C4C2513yes—
1037C22×C4C2513yes—
1038C22×C4C2513yes—
1039C22×C4C2513yes—
1040C22×C4C2513yes—
1041C22×C4C2511yescharacteristic
1042C22×C4C2513yes—
1043C22×C4C2511yescharacteristic
1044C22×C4C2513yes—
1045C22×C4C2511yescharacteristic
1046C22×C4C2511yescharacteristic
1047C22×C4C2513yes—
1048C22×C4C2513yes—
1049C22×C4C2511yescharacteristic
1050C22×C4C2511yescharacteristic
1051C22×C4C2511yescharacteristic
1052C22×C4C2511yescharacteristic
1053C22×C4C2513yes—
1054C4⋊C4—26no—
1055C4⋊C4—26no—
1056C4⋊C4—26no—
1057C4⋊C4—22no—
1058C4⋊C4—26no—
1059C4⋊C4—26no—
1060C4⋊C4—22no—
1061C4⋊C4—22no—
1062C4⋊C4—26no—
1063C4⋊C4—26no—
1064C4⋊C4—26no—
1065C4⋊C4—26no—
1066C4⋊C4—26no—
1067C4⋊C4—26no—
1068C4⋊C4—26no—
1069C4⋊C4—22no—
1070C4⋊C4—26no—
1071C4⋊C4—22no—
1072C4⋊C4—43no—
1073C4⋊C4—43no—
1074C4⋊C4—41no—
1075C4⋊C4—41no—
1076C4⋊C4—43no—
1077C4⋊C4—46no—
1078C4⋊C4—41no—
1079C4⋊C4—43no—
1080C4⋊C4—43no—
1081C4⋊C4—46no—
1082C4⋊C4—41no—
1083C4⋊C4—43no—
1084C4⋊C4—43no—
1085C4⋊C4—43no—
1086C4⋊C4—43no—
1087C4⋊C4—43no—
1088C4⋊C4—43no—
1089C4⋊C4—43no—
1090C4⋊C4—43no—
1091C4⋊C4—46no—
1092C4⋊C4—43no—
1093C4⋊C4—43no—
1094C4⋊C4—43no—
1095C4⋊C4—43no—
1096C22⋊C4—26no—
1097C22⋊C4—26no—
1098C22⋊C4—212no—
1099C22⋊C4—26no—
1100C22⋊C4—26no—
1101C22⋊C4—26no—
1102C22⋊C4—26no—
1103C22⋊C4—26no—
1104C22⋊C4—26no—
1105C22⋊C4—43no—
1106C22⋊C4—43no—
1107C22⋊C4—43no—
1108C22⋊C4—43no—
1109C22⋊C4—43no—
1110C22⋊C4—43no—
1111C22⋊C4—43no—
1112C22⋊C4—43no—
1113C22⋊C4—46no—
1114C22⋊C4—46no—
1115C22⋊C4—46no—
1116C22⋊C4—46no—
1117C22⋊C4—46no—
1118C22⋊C4—46no—
1119C22⋊C4—46no—
1120C22⋊C4—46no—
1121C22⋊C4—43no—
1122C22⋊C4—43no—
1123C22⋊C4—43no—
1124C22⋊C4—43no—
1125C22⋊C4—46no—
1126C22⋊C4—43no—
1127C22⋊C4—46no—
1128C22⋊C4—43no—
1129C22⋊C4—43no—
1130C22⋊C4—43no—
1131C22⋊C4—43no—
1132C22⋊C4—43no—
1133C22⋊C4—46no—
1134C22⋊C4—46no—
1135C22⋊C4—43no—
1136C22⋊C4—43no—
1137C22⋊C4—43no—
1138C22⋊C4—43no—
1139C22⋊C4—46no—
1140C22⋊C4—43no—
1141C22⋊C4—43no—
1142C22⋊C4—43no—
1143C22⋊C4—43no—
1144C22⋊C4—46no—
1145C22⋊C4—43no—
1146C22⋊C4—46no—
1147C22⋊C4—43no—
1148C22⋊C4—43no—
1149C22⋊C4—43no—
1150C22⋊C4—43no—
1151C22⋊C4—43no—
1152C42—22no—
1153C42—26no—
1154C42—26no—
1155C42—26no—
1156C42—26no—
1157C42—26no—
1158C42—26no—
1159C42—26no—
1160C42—26no—
1161C42—26no—
1162C42—26no—
1163C42—26no—
1164C42—26no—
1165C42—22no—
1166C42—41no—
1167C42—43no—
1168C42—43no—
1169C42—46no—
1170C42—43no—
1171C42—43no—
1172C42—46no—
1173C23—23no—
1174C23—23no—
1175C23—23no—
1176C23—23no—
1177C23—23no—
1178C23—23no—
1179C23—23no—
1180C23—23no—
1181C23—23no—
1182C23—23no—
1183C23—23no—
1184C23—23no—
1185C23—23no—
1186C23—23no—
1187C23—23no—
1188C23—23no—
1189C23—23no—
1190C23—23no—
1191C23—23no—
1192C23—23no—
1193C23—23no—
1194C23—23no—
1195C23—23no—
1196C23—23no—
1197C23—23no—
1198C23—23no—
1199C23—424no—
1200C23—812no—
1201C23—812no—
1202C23—812no—
1203C23—812no—
1204C23—166no—
1205C23—166no—
1206C23C22×#4116yes—
1207C23C22×#4116yes—
1208C23C2611yescharacteristic
1209Q8—44no—
1210Q8—86no—
1211Q8#551116yes—
1212D4—224no—
1213D4—224no—
1214D4—412no—
1215D4—412no—
1216D4—412no—
1217D4—412no—
1218D4—412no—
1219D4—412no—
1220D4—812no—
1221D4—812no—
1222D4—86no—
1223D4—86no—
1224D4—166no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—224no—
1232C2×C4—224no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—23no—
1239C2×C4—23no—
1240C2×C4—23no—
1241C2×C4—23no—
1242C2×C4—23no—
1243C2×C4—23no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—23no—
1254C2×C4—23no—
1255C2×C4—23no—
1256C2×C4—23no—
1257C2×C4—23no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—23no—
1263C2×C4—23no—
1264C2×C4—21no—
1265C2×C4—23no—
1266C2×C4—23no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—23no—
1272C2×C4—21no—
1273C2×C4—23no—
1274C2×C4—23no—
1275C2×C4—23no—
1276C2×C4—23no—
1277C2×C4—23no—
1278C2×C4—23no—
1279C2×C4—23no—
1280C2×C4—23no—
1281C2×C4—23no—
1282C2×C4—23no—
1283C2×C4—23no—
1284C2×C4—23no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—23no—
1293C2×C4—23no—
1294C2×C4—23no—
1295C2×C4—23no—
1296C2×C4—23no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—412no—
1303C2×C4—412no—
1304C2×C4—86no—
1305C2×C4—86no—
1306C2×C4—812no—
1307C2×C4—86no—
1308C2×C4—86no—
1309C2×C4—166no—
1310C2×C4—166no—
1311C2×C4C22×#4112yes—
1312C2×C4C22×#4112yes—
1313C2×C4C22×#4116yes—
1314C2×C4C22×#4116yes—
1315C2×C4C2×H(5,𝔽2)16yes—
1316C2×C4#58512yes—
1317C22—26no—
1318C22—26no—
1319C22—26no—
1320C22—26no—
1321C22—26no—
1322C22—26no—
1323C22—43no—
1324C22—43no—
1325C22—43no—
1326C22—43no—
1327C22—43no—
1328C22—43no—
1329C22—43no—
1330C22—43no—
1331C22—43no—
1332C22—43no—
1333C22—43no—
1334C22—43no—
1335C22—43no—
1336C22—43no—
1337C22—43no—
1338C22—43no—
1339C22—43no—
1340C22—43no—
1341C22—43no—
1342C22—43no—
1343C22—43no—
1344C22—43no—
1345C22—1624no—
1346C22C23×#4111yescharacteristic
1347C22C23×#4111yescharacteristic
1348C22C22×H(5,𝔽2)11yescharacteristic
1349C22C2×#58511yescharacteristic
1350C22H(7,𝔽2)11yescharacteristic
1351C22H(7,𝔽2)11yescharacteristic
1352C22H(7,𝔽2)11yescharacteristic
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—43no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—43no—
1361C4—41no—
1362C4—43no—
1363C4—43no—
1364C4—43no—
1365C4—41no—
1366C4—43no—
1367C4—43no—
1368C4—43no—
1369C4—41no—
1370C4—43no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—43no—
1375C4—43no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4C2×#551112yes—
1380C2—46no—
1381C2—46no—
1382C2—83no—
1383C2—83no—
1384C2C22×#55111yescharacteristic
1385C2#6285811yescharacteristic
1386C2#6285811yescharacteristic
1387C2#6292311yescharacteristic
1388C2#6300811yescharacteristic
1389C2#6301011yescharacteristic
1390C2#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. #59637C2semidirect
2. #59480C2semidirect
3. #59208C2semidirect
4. #52197C2semidirect
5. #45380C2semidirect
6. #45188C2semidirect
7. #45061C2semidirect
8. #45013C2semidirect
9. #44959C2semidirect
10. #44916C2semidirect
11. #39565C2semidirect
12. #39066C2semidirect
13. #38206C2semidirect
14. #38112C2semidirect
15. #38056C2semidirect
16. #37975C2semidirect
17. #36585C2semidirect
18. #36433C2semidirect
19. #36431C2semidirect
21. #36076C2semidirect
22. #36076C2semidirect
23. #36049C2semidirect
24. #36040C2semidirect
25. #35898C2semidirect
26. #34313C2semidirect
27. #34295C2semidirect
28. #34263C2semidirect
29. #34258C2semidirect
30. #34258C2semidirect
31. #34197C2semidirect
33. C2×#557C22semidirect
39. C2×#520C22semidirect
42. #2860C22semidirect
43. #2854C22semidirect
44. #2851C22semidirect
45. #2797C22semidirect
46. #2786C22semidirect
47. #2778C22semidirect
48. #2760C22semidirect
49. #2759C22semidirect
50. #2758C22semidirect
51. #2757C22semidirect
52. #2756C22semidirect
53. #2755C22semidirect
54. #2754C22semidirect
55. #2753C22semidirect
56. #2753C22semidirect
57. #2752C22semidirect
58. #2752C22semidirect
59. #2751C22semidirect
60. #2750C22semidirect
61. #2749C22semidirect
62. #2749C22semidirect
63. #2746C22semidirect
64. #2746C22semidirect
65. #2740C22semidirect
66. #2736C22semidirect
67. #2723C22semidirect
68. #2706C22semidirect
69. #2705C22semidirect
70. #2696C22semidirect
71. #2685C22semidirect
72. #2685C22semidirect
73. #2684C22semidirect
74. #2644C22semidirect
75. #2641C22semidirect
76. #2628C22semidirect
77. #2624C22semidirect
78. #2624C22semidirect
80. #2610C22semidirect
81. #2603C22semidirect
82. #2602C22semidirect
83. #2600C22semidirect
84. #2580C22semidirect
85. #2580C22semidirect
86. #2566C22semidirect
87. #2563C22semidirect
88. #2562C22semidirect
89. #2557C22semidirect
90. #2548C22semidirect
91. #2534C22semidirect
92. #2534C22semidirect
93. #2527C22semidirect
94. #2526C22semidirect
95. #2513C22semidirect
96. #2513C22semidirect
97. #2513C22semidirect
98. #2513C22semidirect
99. #2512C22semidirect
100. #2512C22semidirect
101. #2504C22semidirect
102. #2504C22semidirect
103. #2500C22semidirect
104. #2497C22semidirect
105. #2496C22semidirect
106. #2494C22semidirect
107. #2494C22semidirect
108. #2494C22semidirect
109. #2494C22semidirect
110. #2491C22semidirect
111. #2491C22semidirect
112. #2490C22semidirect
113. #2490C22semidirect
114. #2486C22semidirect
115. #2486C22semidirect
116. #2485C22semidirect
117. #2483C22semidirect
118. #2482C22semidirect
119. #2480C22semidirect
120. #2472C22semidirect
121. #2471C22semidirect
122. #2467C22semidirect
123. #2457C22semidirect
124. #2454C22semidirect
125. #2454C22semidirect
126. #2454C22semidirect
127. #2452C22semidirect
128. #2445C22semidirect
129. #2445C22semidirect
130. #2445C22semidirect
131. #2445C22semidirect
132. #2445C22semidirect
133. #2445C22semidirect
134. #2442C22semidirect
135. #2442C22semidirect
136. #2441C22semidirect
137. #2439C22semidirect
141. #2422C22semidirect
142. #2420C22semidirect
143. #2420C22semidirect
144. #2420C22semidirect
145. #2420C22semidirect
146. #2420C22semidirect
147. #2418C22semidirect
148. #2418C22semidirect
149. #2412C22semidirect
150. #2412C22semidirect
151. #2411C22semidirect
155. #2401C22semidirect
156. #2398C22semidirect
157. #2396C22semidirect
158. #2395C22semidirect
159. #2395C22semidirect
161. #2366C22semidirect
162. #2366C22semidirect
163. #2363C22semidirect
164. #2361C22semidirect
165. #2361C22semidirect
166. #2361C22semidirect
167. #2358C22semidirect
168. #2357C22semidirect
169. #2357C22semidirect
170. #2357C22semidirect
171. #2354C22semidirect
172. #2352C22semidirect
173. #2351C22semidirect
174. #2351C22semidirect
175. #2351C22semidirect
176. #2351C22semidirect
177. #2351C22semidirect
178. #2351C22semidirect
179. Q8×C4⋊C4C22semidirect
180. Q8×C4⋊C4C22semidirect
181. D4×C4⋊C4C22semidirect
182. #2346C22semidirect
183. #2346C22semidirect
184. #2345C22semidirect
185. #2344C22semidirect
197. #2341C22semidirect
198. #2341C22semidirect
199. #2341C22semidirect
208. #2328C22semidirect
209. #2324C22semidirect
210. #2324C22semidirect
211. #2324C22semidirect
212. #2319C22semidirect
213. #2319C22semidirect
214. #2319C22semidirect
215. #2314C22semidirect
220. C4×#127C22semidirect
221. C4×#126C22semidirect
222. C4×C22⋊Q8C22semidirect
223. C4×#123C22semidirect
224. C4×#121C22semidirect
225. #2298C22semidirect
228. #2293C22semidirect
229. #2293C22semidirect
232. #2290C22semidirect
233. #2283C22semidirect
234. #2283C22semidirect
235. #2276C22semidirect
236. #2276C22semidirect
237. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596372
#594802
#592082
#521972
#453802
#451882
#450612
#450132
#449592
#449162
#395652
#390662
#382062
#381122
#380562
#379752
#365852
#364332
#364312
#360912
#360762
#360492
#360402
#358982
#343132
#342952
#342632
#342582
#341972