Finite Group Databasebeta

← #8893340

Subgroups — #8893340

Order 512.

5848 conjugacy classes of subgroups.

The subgroup lattice has 1521 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#56791C214yesmaximal, complemented
2#53914C214yesmaximal, complemented
3#53608C214yesmaximal, complemented
4#51566C214yesmaximal, complemented
5#50856C212yesmaximal, complemented
6#49562C214yesmaximal, complemented
7#47848C212yesmaximal, complemented
8#47177C214yesmaximal, complemented
9#47156C214yesmaximal, complemented
10#46523C214yesmaximal, complemented
11#46452C212yesmaximal, complemented
12#46429C212yesmaximal, complemented
13#46354C212yesmaximal, complemented
14#38372C214yesmaximal, complemented
15#38208C214yesmaximal, complemented
16#37949C212yesmaximal, complemented
17#37940C212yesmaximal, complemented
18#36816C212yesmaximal, complemented
19#36717C211yesmaximal, characteristic, complemented
20#35584C211yesmaximal, characteristic, complemented
21#35513C212yesmaximal, complemented
22#35441C212yesmaximal, complemented
23#35347C211yesmaximal, characteristic, complemented
24C22×H(5,𝔽2)C2211yescharacteristic, complemented
25C2×H(3,𝔽4)C2212yescomplemented
26C2×#551C2212yescomplemented
27C2×#544C2211yescharacteristic, complemented
28C2×#537C2212yes—
29C2×#535C2212yescomplemented
30C2×#534C2211yescharacteristic
31C2×#534C2211yescharacteristic
32C2×#534C2211yescharacteristic, complemented
33C2×#532C2212yescomplemented
34C22×#121C2211yescharacteristic
35#2852C2214yescomplemented
36#2847C2212yescomplemented
37#2832C2214yescomplemented
38#2829C2214yescomplemented
39#2828C2214yescomplemented
40#2825C2214yescomplemented
41#2816C2212yescomplemented
42#2803C2214yescomplemented
43#2797C2214yescomplemented
44#2787C2214yescomplemented
45#2786C2214yescomplemented
46#2784C2214yescomplemented
47#2778C2214yescomplemented
48#2759C2214yescomplemented
49#2757C2214yescomplemented
50#2756C2214yescomplemented
51#2756C2214yescomplemented
52#2756C2214yescomplemented
53#2746C2214yescomplemented
54#2737C2214yescomplemented
55#2730C2214yescomplemented
56#2729C2214yescomplemented
57#2717C2212yescomplemented
58#2716C2214yescomplemented
59#2715C2214yescomplemented
60#2714C2214yescomplemented
61#2714C2214yescomplemented
62#2712C2214yescomplemented
63#2712C2214yescomplemented
64#2711C2214yescomplemented
65#2711C2214yescomplemented
66#2710C2214yescomplemented
67#2709C2214yescomplemented
68#2708C2214yescomplemented
69#2703C2214yescomplemented
70#2703C2214yescomplemented
71#2699C2214yescomplemented
72#2697C2212yescomplemented
73#2696C2214yescomplemented
74#2691C2214yescomplemented
75#2688C2214yescomplemented
76#2687C2214yescomplemented
77#2686C2214yescomplemented
78#2686C2214yescomplemented
79#2685C2214yescomplemented
80#2685C2214yescomplemented
81#2684C2214yescomplemented
82#2684C2214yescomplemented
83#2684C2214yescomplemented
84#2684C2212yescomplemented
85#2681C2214yescomplemented
86#2679C2214yescomplemented
87#2679C2212yescomplemented
88#2678C2214yescomplemented
89#2677C2214yescomplemented
90#2676C2214yescomplemented
91#2676C2214yescomplemented
92#2676C2214yescomplemented
93#2672C2214yescomplemented
94#2670C2214yescomplemented
95#2670C2214yescomplemented
96#2670C2214yescomplemented
97#2669C2214yescomplemented
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2668C2214yescomplemented
101#2668C2214yescomplemented
102#2659C2212yescomplemented
103#2653C2214yescomplemented
104#2646C2212yescomplemented
105#2638C2214yescomplemented
106#2630C2214yescomplemented
107#2622C2214yescomplemented
108#2617C2212yescomplemented
109#2617C2212yescomplemented
110#2617C2214yescomplemented
111#2617C2212yescomplemented
112#2610C2214yescomplemented
113#2607C2212yescomplemented
114#2605C2214yescomplemented
115#2603C2214yescomplemented
116#2603C2214yescomplemented
117#2598C2214yescomplemented
118#2598C2214yescomplemented
119#2597C2214yescomplemented
120#2595C2214yescomplemented
121#2595C2214yescomplemented
122#2591C2212yescomplemented
123#2578C2214yescomplemented
124#2561C2212yescomplemented
125#2561C2212yescomplemented
126#2560C2214yescomplemented
127#2557C2214yescomplemented
128#2557C2214yescomplemented
129#2556C2214yescomplemented
130#2555C2214yescomplemented
131#2555C2214yescomplemented
132#2555C2214yescomplemented
133#2544C2214yescomplemented
134#2544C2214yescomplemented
135#2531C2214yescomplemented
136#2510C2214yescomplemented
137#2491C2214yescomplemented
138#2491C2214yescomplemented
139#2491C2214yescomplemented
140#2490C2214yescomplemented
141#2490C2214yescomplemented
142#2480C2214yescomplemented
143#2476C2214yescomplemented
144#2476C2214yescomplemented
145#2476C2214yescomplemented
146#2474C2214yescomplemented
147#2474C2214yescomplemented
148#2474C2214yescomplemented
149#2473C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2472C2214yescomplemented
153#2471C2214yescomplemented
154#2467C2214yescomplemented
155#2464C2214yescomplemented
156#2464C2214yescomplemented
157#2443C2214yescomplemented
158#2435C2212yescomplemented
159#2435C2212yescomplemented
160#2435C2212yescomplemented
161#2433C2212yes—
162#2433C2212yescomplemented
163#2432C2214yescomplemented
164#2432C2212yescomplemented
165#2432C2212yescomplemented
166#2431C2212yes—
167#2431C2212yescomplemented
168#2430C2214yescomplemented
169#2430C2214yescomplemented
170#2427C2214yescomplemented
171#2424C2214yescomplemented
172#2424C2214yescomplemented
173#2424C2214yescomplemented
174#2418C2214yescomplemented
175#2414C2214yescomplemented
176#2410C2214yescomplemented
177#2410C2214yescomplemented
178#2410C2214yescomplemented
179#2410C2214yescomplemented
180#2410C2214yescomplemented
181#2410C2214yescomplemented
182#2410C2214yescomplemented
183#2408C2214yescomplemented
184#2408C2214yescomplemented
185#2408C2214yescomplemented
186#2407C2214yescomplemented
187#2407C2214yescomplemented
188#2406C2212yescomplemented
189#2405C2212yescomplemented
190#2404C2212yes—
191#2404C2214yescomplemented
192#2403C2212yes—
193#2403C2212yescomplemented
194#2403C2212yescomplemented
195#2376C2212yescomplemented
196#2358C2214yescomplemented
197#2358C2212yescomplemented
198#2353C2214yescomplemented
199#2337C2214yescomplemented
200#2333C2212yescomplemented
201#2332C2212yescomplemented
202#2325C2212yescomplemented
203#2325C2212yescomplemented
204#2321C2214yescomplemented
205#2321C2214yescomplemented
206#2315C2212yescomplemented
207#2312C2212yescomplemented
208#2312C2211yescharacteristic, complemented
209#2311C2212yescomplemented
210#2309C2212yescomplemented
211#2308C2211yescharacteristic, complemented
212#2297C2212yescomplemented
213C2×#390C2212yescomplemented
214#2290C2214yescomplemented
215C2×#386C2211yescharacteristic, complemented
216C2×#386C2211yescharacteristic, complemented
217#2280C2212yescomplemented
218#2274C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—44no—
220C2×H(5,𝔽2)—44no—
221C2×H(5,𝔽2)—44no—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C22×#41C2312yes—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2312yes—
230C23×D4C2311yescharacteristic
231C23×D4C2312yes—
232C23×D4C2312yes—
233C23×D4C2311yescharacteristic
234C23×D4C2312yes—
235C24×C4C2311yescharacteristic
236H(3,𝔽4)—48no—
237#551—48no—
238#544—44no—
239#537—48no—
240#535—48no—
241#534—44no—
242#534—44no—
243#534—44no—
244#532—48no—
245C2×C4⋊Q8C2312yes—
246C2×C4⋊Q8C2314yes—
247C2×#127C2312yes—
248C2×#127C2312yes—
249C2×#127C2312yes—
250C2×#126C2314yes—
251C2×#126C2314yes—
252C2×#125C2314yes—
253C2×#124C2314yes—
254C2×#124C2314yes—
255C2×#124C2314yes—
256C2×#124C2314yes—
257C2×#124C2312yes—
258C2×#124C2312yes—
259C2×#124C2312yes—
260C2×#124C2312yes—
261C2×#124C2312yes—
262C2×#124C2312yes—
263C2×#124C2314yes—
264C2×#124C2314yes—
265C2×#123C2312yes—
266C2×#123C2312yes—
267C2×#123C2312yes—
268C2×#123C2314yes—
269C2×#123C2312yes—
270C2×#123C2314yes—
271C2×C22⋊Q8C2312yes—
272C2×C22⋊Q8C2312yes—
273C2×C22⋊Q8C2314yes—
274C2×C22⋊Q8C2314yes—
275C2×C22⋊Q8C2312yes—
276C2×C22⋊Q8C2314yes—
277C2×#121—44no—
278C2×#121C2312yes—
279C2×#121C2312yes—
280C2×#121C2312yes—
281C2×#121C2312yes—
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#120C2312yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299C2×#120C2314yes—
300C2×#120C2312yes—
301C2×#120C2312yes—
302C2×#120C2312yes—
303C2×#120C2312yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307C2×#120C2312yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2314yes—
318C2×#117C2312yes—
319C2×#117C2312yes—
320C2×#117C2312yes—
321C2×#117C2314yes—
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2312yes—
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2312yes—
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2314yes—
331C22×C22⋊C4C2314yes—
332C22×C22⋊C4C2314yes—
333C22×C42C2312yes—
334#401C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#399C2314yes—
340#399C2314yes—
341#399C2314yes—
342#398C2314yes—
343#398C2314yes—
344#398C2314yes—
345#398C2314yes—
346#398C2314yes—
347#398C2314yes—
348#397C2314yes—
349#397C2314yes—
350#397C2314yes—
351#397C2314yes—
352#397C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#397C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#395C2314yes—
371#395C2314yes—
372#395C2314yes—
373#395C2314yes—
374#394C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2314yes—
382#394C2314yes—
383#394C2314yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#393C2314yes—
414#393C2314yes—
415#393C2314yes—
416#393C2314yes—
417#393C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#392C2314yes—
423#392C2314yes—
424#392C2314yes—
425#392C2314yes—
426#392C2314yes—
427#392C2314yes—
428#392C2314yes—
429#392C2314yes—
430#392C2314yes—
431#392C2314yes—
432#392C2314yes—
433#392C2314yes—
434#392C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2314yes—
439#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#391C2314yes—
443#391C2312yes—
444#391C2312yes—
445#391C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#390C2312yes—
450#390C2314yes—
451#390C2314yes—
452#390C2314yes—
453#390C2314yes—
454#390C2312yes—
455#390C2314yes—
456#390C2314yes—
457#390C2314yes—
458#390C2314yes—
459#390C2312yes—
460#390C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2312yes—
464#390C2314yes—
465#390C2312yes—
466#390C2314yes—
467#390C2314yes—
468#390C2314yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
472#389C2314yes—
473#389C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2312yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2312yes—
555#386C2314yes—
556#386C2312yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2312yes—
561#386C2312yes—
562#386C2312yes—
563#386C2314yes—
564#386C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#383C2314yes—
584#383C2314yes—
585#381C2312yes—
586#381C2314yes—
587#381C2314yes—
588#380C2314yes—
589#380C2314yes—
590#380C2312yes—
591#380C2312yes—
592#380C2312yes—
593#380C2312yes—
594#380C2312yes—
595#380C2314yes—
596#380C2312yes—
597#380C2312yes—
598#380C2314yes—
599#380C2314yes—
600#379C2314yes—
601#379C2314yes—
602#379C2312yes—
603#379C2312yes—
604#379C2314yes—
605#379C2314yes—
606#379C2314yes—
607#379C2314yes—
608#379C2314yes—
609C4×C4⋊C4C2314yes—
610C4×C4⋊C4C2314yes—
611C4×C4⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2312yes—
614C4×C22⋊C4C2312yes—
615C4×C22⋊C4C2312yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2312yes—
621C4×C22⋊C4C2312yes—
622C4×C22⋊C4C2314yes—
623C4×C22⋊C4C2314yes—
624#376C2314yes—
625C2×#95C2312yes—
626C2×#95C2312yes—
627C25C2411yescharacteristic
628C25C2411yescharacteristic
629C25C2412yes—
630C25C2411yescharacteristic
631C25C2411yescharacteristic
632C25C2412yes—
633C25C2411yescharacteristic
634H(5,𝔽2)—464no—
635C2×#41—28no—
636C2×#41—28no—
637C2×#41—44no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—44no—
641C2×#41—44no—
642C2×#41—44no—
643C2×#41—44no—
644C2×#41—44no—
645C2×#41—44no—
646C2×#41—44no—
647C22×Q8C2412yes—
648C22×Q8C2412yes—
649C22×Q8C2412yes—
650C22×Q8C2414yes—
651C22×D4—24no—
652C22×D4—28no—
653C22×D4—24no—
654C22×D4—24no—
655C22×D4—44no—
656C22×D4—44no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—44no—
663C22×D4—42no—
664C22×D4—44no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4—44no—
669C22×D4—44no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—44no—
675C22×D4—84no—
676C22×D4C2412yes—
677C22×D4C2412yes—
678C22×D4C2412yes—
679C22×D4C2412yes—
680C22×D4C2412yes—
681C22×D4C2412yes—
682C22×D4C2412yes—
683C22×D4C2412yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2412yes—
690C22×D4C2412yes—
691C22×D4C2414yes—
692C22×D4C2412yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2412yes—
700C22×D4C2414yes—
701C22×D4C2412yes—
702C23×C4—44no—
703C23×C4—42no—
704C23×C4C2411yescharacteristic
705C23×C4C2412yes—
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2414yes—
709C23×C4C2412yes—
710C23×C4C2412yes—
711C23×C4C2412yes—
712C23×C4C2412yes—
713C23×C4C2411yescharacteristic
714C23×C4C2414yes—
715C23×C4C2412yes—
716C23×C4C2414yes—
717C23×C4C2412yes—
718C23×C4C2414yes—
719C23×C4C2412yes—
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C4⋊Q8—44no—
723C4⋊Q8—48no—
724#127—44no—
725#127—44no—
726#127—44no—
727#126—48no—
728#126—84no—
729#125—48no—
730#124—48no—
731#124—44no—
732#124—44no—
733#124—44no—
734#124—44no—
735#124—48no—
736#124—48no—
737#124—48no—
738#124—48no—
739#124—44no—
740#124—44no—
741#124—84no—
742#123—28no—
743#123—48no—
744#123—44no—
745#123—48no—
746#123—44no—
747#123—44no—
748C22⋊Q8—28no—
749C22⋊Q8—44no—
750C22⋊Q8—48no—
751C22⋊Q8—48no—
752C22⋊Q8—44no—
753C22⋊Q8—84no—
754#121—28no—
755#121—44no—
756#121—44no—
757#121—48no—
758#121—48no—
759#121—48no—
760#121—48no—
761#121—48no—
762#121—48no—
763#121—48no—
764#121—48no—
765#121—48no—
766#121—48no—
767#121—48no—
768#121—44no—
769#121—44no—
770#121—84no—
771#121—84no—
772#120—28no—
773#120—216no—
774#120—48no—
775#120—48no—
776#120—48no—
777#120—44no—
778#120—44no—
779#120—48no—
780#120—44no—
781#120—44no—
782#120—48no—
783#120—44no—
784#120—84no—
785#120—84no—
786#120—84no—
787#120—84no—
788#120—84no—
789C4×D4—216no—
790C4×D4—48no—
791C4×D4—48no—
792C4×D4—84no—
793C4×D4—84no—
794#117—44no—
795#117—48no—
796#117—44no—
797#117—44no—
798C2×C4⋊C4—24no—
799C2×C4⋊C4—44no—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C22⋊C4—24no—
829C2×C22⋊C4—44no—
830C2×C22⋊C4—44no—
831C2×C22⋊C4—48no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—84no—
836C2×C22⋊C4—84no—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2412yes—
842C2×C22⋊C4C2412yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2412yes—
856C2×C22⋊C4C2412yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C42—44no—
902C2×C42C2414yes—
903C2×C42C2414yes—
904C2×C42C2412yes—
905C2×C42C2412yes—
906C2×C42C2412yes—
907C2×C42C2414yes—
908C2×C42C2414yes—
909C2×C42C2414yes—
910C2×C42C2414yes—
911C2×C42C2412yes—
912C2×C42C2412yes—
913C2×C42C2412yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—24no—
956C24—22no—
957C24—42no—
958C24—42no—
959C24—41no—
960C24—41no—
961C24—41no—
962C24—41no—
963C24—42no—
964C24—42no—
965C24—41no—
966C24—41no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—44no—
972C24—42no—
973C24—44no—
974C24—41no—
975C24—41no—
976C24—42no—
977C24—44no—
978C24—44no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24H(5,𝔽2)14yes—
985C24C2512yes—
986C24C2512yes—
987C24C2512yes—
988C24C2514yes—
989C24C2511yescharacteristic
990C24C2512yes—
991C24C2511yescharacteristic
992C24C2511yescharacteristic
993#41—432no—
994#41—432no—
995#41—432no—
996#41—816no—
997C2×Q8—24no—
998C2×Q8—24no—
999C2×Q8—24no—
1000C2×Q8—42no—
1001C2×Q8—42no—
1002C2×Q8—42no—
1003C2×Q8—42no—
1004C2×Q8—42no—
1005C2×Q8—44no—
1006C2×Q8—44no—
1007C2×Q8—42no—
1008C2×Q8—44no—
1009C2×D4—24no—
1010C2×D4—24no—
1011C2×D4—24no—
1012C2×D4—24no—
1013C2×D4—24no—
1014C2×D4—24no—
1015C2×D4—24no—
1016C2×D4—24no—
1017C2×D4—24no—
1018C2×D4—24no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—28no—
1024C2×D4—24no—
1025C2×D4—24no—
1026C2×D4—28no—
1027C2×D4—24no—
1028C2×D4—24no—
1029C2×D4—24no—
1030C2×D4—24no—
1031C2×D4—24no—
1032C2×D4—24no—
1033C2×D4—24no—
1034C2×D4—28no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—432no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—44no—
1073C2×D4—42no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—44no—
1088C2×D4—416no—
1089C2×D4—416no—
1090C2×D4—416no—
1091C2×D4—432no—
1092C2×D4—432no—
1093C2×D4—88no—
1094C2×D4—88no—
1095C2×D4—816no—
1096C22×C4—22no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—28no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—41no—
1110C22×C4—42no—
1111C22×C4—41no—
1112C22×C4—42no—
1113C22×C4—41no—
1114C22×C4—42no—
1115C22×C4—41no—
1116C22×C4—42no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—88no—
1146C22×C4H(5,𝔽2)14yes—
1147C22×C4H(5,𝔽2)14yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2514yes—
1153C22×C4C2514yes—
1154C22×C4C2514yes—
1155C22×C4C2514yes—
1156C22×C4C2514yes—
1157C22×C4C2514yes—
1158C22×C4C2514yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C4⋊C4—28no—
1164C4⋊C4—24no—
1165C4⋊C4—24no—
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—28no—
1169C4⋊C4—44no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—42no—
1175C4⋊C4—42no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—42no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C22⋊C4—24no—
1192C22⋊C4—24no—
1193C22⋊C4—28no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—42no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—42no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C42—28no—
1256C42—28no—
1257C42—42no—
1258C42—42no—
1259C42—42no—
1260C42—42no—
1261C42—42no—
1262C42—44no—
1263C42—44no—
1264C42—44no—
1265C42—42no—
1266C42—44no—
1267C23—28no—
1268C23—21no—
1269C23—21no—
1270C23—22no—
1271C23—22no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—24no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—24no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—24no—
1287C23—24no—
1288C23—22no—
1289C23—24no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—24no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—24no—
1301C23—24no—
1302C23—24no—
1303C23—24no—
1304C23—24no—
1305C23—24no—
1306C23—44no—
1307C23—48no—
1308C23—48no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—82no—
1313C23—82no—
1314C23—84no—
1315C23—84no—
1316C23—82no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—88no—
1321C23—84no—
1322C23—84no—
1323C23—88no—
1324C23—161no—
1325C23—161no—
1326C23—162no—
1327C23—161no—
1328C23—162no—
1329C23—161no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—164no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23—162no—
1339C23—164no—
1340C23C2×H(5,𝔽2)14yes—
1341C23C2×H(5,𝔽2)12yes—
1342C23C2×H(5,𝔽2)12yes—
1343C23C2×H(5,𝔽2)12yes—
1344C23C2611yescharacteristic
1345Q8—48no—
1346Q8—84no—
1347Q8—162no—
1348Q8—164no—
1349D4—48no—
1350D4—48no—
1351D4—48no—
1352D4—48no—
1353D4—48no—
1354D4—48no—
1355D4—48no—
1356D4—48no—
1357D4—48no—
1358D4—88no—
1359D4—84no—
1360D4—88no—
1361D4—88no—
1362D4—88no—
1363D4—88no—
1364D4—84no—
1365D4—84no—
1366D4—88no—
1367D4—88no—
1368D4—88no—
1369D4—88no—
1370D4—162no—
1371D4—164no—
1372D4—164no—
1373D4—164no—
1374D4—164no—
1375C2×C4—28no—
1376C2×C4—216no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—24no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—24no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—48no—
1422C2×C4—48no—
1423C2×C4—44no—
1424C2×C4—84no—
1425C2×C4—84no—
1426C2×C4—88no—
1427C2×C4—82no—
1428C2×C4—82no—
1429C2×C4—88no—
1430C2×C4—88no—
1431C2×C4—84no—
1432C2×C4—164no—
1433C2×C4—162no—
1434C2×C4—162no—
1435C2×C4C2×H(5,𝔽2)14yes—
1436C2×C4C2×H(5,𝔽2)14yes—
1437C2×C4#58514yes—
1438C22—24no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—24no—
1445C22—28no—
1446C22—24no—
1447C22—41no—
1448C22—41no—
1449C22—42no—
1450C22—42no—
1451C22—41no—
1452C22—41no—
1453C22—42no—
1454C22—42no—
1455C22—44no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—44no—
1465C22—42no—
1466C22—42no—
1467C22—44no—
1468C22—42no—
1469C22—42no—
1470C22—44no—
1471C22—44no—
1472C22—44no—
1473C22—44no—
1474C22—44no—
1475C22—44no—
1476C22—44no—
1477C22—44no—
1478C22—44no—
1479C22—44no—
1480C22—88no—
1481C22—164no—
1482C22—164no—
1483C22—164no—
1484C22—164no—
1485C22—168no—
1486C22—168no—
1487C22C22×H(5,𝔽2)11yescharacteristic
1488C22C22×H(5,𝔽2)11yescharacteristic
1489C22C22×H(5,𝔽2)11yescharacteristic
1490C22C2×#58512yes—
1491C22H(7,𝔽2)12yes—
1492C4—24no—
1493C4—24no—
1494C4—24no—
1495C4—42no—
1496C4—42no—
1497C4—44no—
1498C4—42no—
1499C4—44no—
1500C4—44no—
1501C4—44no—
1502C4—44no—
1503C4—44no—
1504C4—44no—
1505C4—44no—
1506C4—44no—
1507C2—42no—
1508C2—42no—
1509C2—42no—
1510C2—44no—
1511C2—84no—
1512C2—82no—
1513C2—82no—
1514C2—82no—
1515C2#6281711yescharacteristic
1516C2#6282411yescharacteristic
1517C2#6287611yescharacteristic
1518C2#6290512yes—
1519C2#6293012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #56791C2semidirect
2. #53914C2semidirect
3. #53608C2semidirect
4. #51566C2semidirect
5. #50856C2semidirect
6. #49562C2semidirect
7. #47848C2semidirect
8. #47177C2semidirect
9. #47156C2semidirect
10. #46523C2semidirect
11. #46452C2semidirect
12. #46429C2semidirect
13. #46354C2semidirect
14. #38372C2semidirect
15. #38208C2semidirect
16. #37949C2semidirect
17. #37940C2semidirect
18. #36816C2semidirect
19. #36717C2semidirect
20. #35584C2semidirect
21. #35513C2semidirect
22. #35441C2semidirect
23. #35347C2semidirect
24. C22×H(5,𝔽2)C22semidirect
25. C2×H(3,𝔽4)C22semidirect
26. C2×#551C22semidirect
27. C2×#544C22semidirect
29. C2×#535C22semidirect
32. C2×#534C22semidirect
33. C2×#532C22semidirect
35. #2852C22semidirect
36. #2847C22semidirect
37. #2832C22semidirect
38. #2829C22semidirect
39. #2828C22semidirect
40. #2825C22semidirect
41. #2816C22semidirect
42. #2803C22semidirect
43. #2797C22semidirect
44. #2787C22semidirect
45. #2786C22semidirect
46. #2784C22semidirect
47. #2778C22semidirect
48. #2759C22semidirect
49. #2757C22semidirect
50. #2756C22semidirect
51. #2756C22semidirect
52. #2756C22semidirect
53. #2746C22semidirect
54. #2737C22semidirect
55. #2730C22semidirect
56. #2729C22semidirect
57. #2717C22semidirect
58. #2716C22semidirect
59. #2715C22semidirect
60. #2714C22semidirect
61. #2714C22semidirect
62. #2712C22semidirect
63. #2712C22semidirect
64. #2711C22semidirect
65. #2711C22semidirect
66. #2710C22semidirect
67. #2709C22semidirect
68. #2708C22semidirect
69. #2703C22semidirect
70. #2703C22semidirect
71. #2699C22semidirect
72. #2697C22semidirect
73. #2696C22semidirect
74. #2691C22semidirect
75. #2688C22semidirect
76. #2687C22semidirect
77. #2686C22semidirect
78. #2686C22semidirect
79. #2685C22semidirect
80. #2685C22semidirect
81. #2684C22semidirect
82. #2684C22semidirect
83. #2684C22semidirect
84. #2684C22semidirect
85. #2681C22semidirect
86. #2679C22semidirect
87. #2679C22semidirect
88. #2678C22semidirect
89. #2677C22semidirect
90. #2676C22semidirect
91. #2676C22semidirect
92. #2676C22semidirect
93. #2672C22semidirect
94. #2670C22semidirect
95. #2670C22semidirect
96. #2670C22semidirect
97. #2669C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2668C22semidirect
101. #2668C22semidirect
102. #2659C22semidirect
103. #2653C22semidirect
104. #2646C22semidirect
105. #2638C22semidirect
106. #2630C22semidirect
107. #2622C22semidirect
108. #2617C22semidirect
109. #2617C22semidirect
110. #2617C22semidirect
111. #2617C22semidirect
112. #2610C22semidirect
113. #2607C22semidirect
114. #2605C22semidirect
115. #2603C22semidirect
116. #2603C22semidirect
117. #2598C22semidirect
118. #2598C22semidirect
119. #2597C22semidirect
120. #2595C22semidirect
121. #2595C22semidirect
122. #2591C22semidirect
123. #2578C22semidirect
124. #2561C22semidirect
125. #2561C22semidirect
126. #2560C22semidirect
127. #2557C22semidirect
128. #2557C22semidirect
129. #2556C22semidirect
130. #2555C22semidirect
131. #2555C22semidirect
132. #2555C22semidirect
133. #2544C22semidirect
134. #2544C22semidirect
135. #2531C22semidirect
136. #2510C22semidirect
137. #2491C22semidirect
138. #2491C22semidirect
139. #2491C22semidirect
140. #2490C22semidirect
141. #2490C22semidirect
142. #2480C22semidirect
143. #2476C22semidirect
144. #2476C22semidirect
145. #2476C22semidirect
146. #2474C22semidirect
147. #2474C22semidirect
148. #2474C22semidirect
149. #2473C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2472C22semidirect
153. #2471C22semidirect
154. #2467C22semidirect
155. #2464C22semidirect
156. #2464C22semidirect
157. #2443C22semidirect
158. #2435C22semidirect
159. #2435C22semidirect
160. #2435C22semidirect
162. #2433C22semidirect
163. #2432C22semidirect
164. #2432C22semidirect
165. #2432C22semidirect
167. #2431C22semidirect
168. #2430C22semidirect
169. #2430C22semidirect
170. #2427C22semidirect
171. #2424C22semidirect
172. #2424C22semidirect
173. #2424C22semidirect
174. #2418C22semidirect
175. #2414C22semidirect
176. #2410C22semidirect
177. #2410C22semidirect
178. #2410C22semidirect
179. #2410C22semidirect
180. #2410C22semidirect
181. #2410C22semidirect
182. #2410C22semidirect
183. #2408C22semidirect
184. #2408C22semidirect
185. #2408C22semidirect
186. #2407C22semidirect
187. #2407C22semidirect
188. #2406C22semidirect
189. #2405C22semidirect
191. #2404C22semidirect
193. #2403C22semidirect
194. #2403C22semidirect
195. #2376C22semidirect
196. #2358C22semidirect
197. #2358C22semidirect
198. #2353C22semidirect
199. #2337C22semidirect
200. #2333C22semidirect
201. #2332C22semidirect
202. #2325C22semidirect
203. #2325C22semidirect
204. #2321C22semidirect
205. #2321C22semidirect
206. #2315C22semidirect
207. #2312C22semidirect
208. #2312C22semidirect
209. #2311C22semidirect
210. #2309C22semidirect
211. #2308C22semidirect
212. #2297C22semidirect
213. C2×#390C22semidirect
214. #2290C22semidirect
215. C2×#386C22semidirect
216. C2×#386C22semidirect
217. #2280C22semidirect
218. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#567912
#539142
#536082
#515662
#508562
#495622
#478482
#471772
#471562
#465232
#464522
#464292
#463542
#383722
#382082
#379492
#379402
#368162
#367172
#355842
#355132
#354412
#353472