Finite Group Databasebeta

← #8399372

Subgroups — #8399372

Order 512.

5807 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59420C212yesmaximal, complemented
2#59095C212yesmaximal, complemented
3#55014C214yesmaximal, complemented
4#53447C214yesmaximal, complemented
5#50979C214yesmaximal, complemented
6#48661C214yesmaximal, complemented
7#48341C214yesmaximal, complemented
8#47833C214yesmaximal, complemented
9#46042C212yesmaximal, complemented
10#45670C212yesmaximal, complemented
11#45421C211yesmaximal, characteristic, complemented
12#45337C211yesmaximal, characteristic, complemented
13#44947C211yesmaximal, characteristic, complemented
14#44936C211yesmaximal, characteristic, complemented
15#43101C214yesmaximal, complemented
16#43002C214yesmaximal, complemented
17#42794C211yesmaximal, characteristic, complemented
18#42429C211yesmaximal, characteristic, complemented
19#40152C212yesmaximal, complemented
20#40049C212yesmaximal, complemented
21#39853C212yesmaximal, complemented
22#39367C212yesmaximal, complemented
23#37322C211yesmaximal, characteristic, complemented
24#36566C211yesmaximal, characteristic, complemented
25#36465C211yesmaximal, characteristic, complemented
26#36289C211yesmaximal, characteristic, complemented
27#36149C211yesmaximal, characteristic, complemented
28#35702C211yesmaximal, characteristic, complemented
29#35691C211yesmaximal, characteristic, complemented
30#35536C211yesmaximal, characteristic, complemented
31#34968C211yesmaximal, characteristic, complemented
32C2×#559C2212yescomplemented
33C2×#554C2211yescharacteristic, complemented
34C2×#550C2211yescharacteristic, complemented
35C2×D4×Q8C2211yescharacteristic, complemented
36C2×#548C2214yescomplemented
37C2×#546C2214yescomplemented
38C2×D42C2212yes—
39C2×D42C2211yescharacteristic
40C2×#543C2214yescomplemented
41C2×#542C2211yescharacteristic, complemented
42C2×#532C2212yescomplemented
43C2×#518C2211yescharacteristic
44#2864C2212yescomplemented
45#2862C2211yescharacteristic, complemented
46#2858C2212yescomplemented
47#2858C2211yescharacteristic, complemented
48#2857C2212yescomplemented
49#2850C2212yescomplemented
50#2837C2214yescomplemented
51#2829C2214yescomplemented
52#2820C2212yescomplemented
53#2813C2212yescomplemented
54#2798C2214yescomplemented
55#2786C2214yescomplemented
56#2761C2214yescomplemented
57#2751C2214yescomplemented
58#2749C2214yescomplemented
59#2748C2214yescomplemented
60#2740C2214yescomplemented
61#2737C2214yescomplemented
62#2732C2214yescomplemented
63#2730C2214yescomplemented
64#2730C2214yescomplemented
65#2730C2214yescomplemented
66#2730C2214yescomplemented
67#2728C2214yescomplemented
68#2712C2214yescomplemented
69#2712C2214yescomplemented
70#2706C2214yescomplemented
71#2700C2214yescomplemented
72#2700C2214yescomplemented
73#2700C2214yescomplemented
74#2697C2214yescomplemented
75#2697C2214yescomplemented
76#2696C2214yescomplemented
77#2696C2214yescomplemented
78#2692C2214yescomplemented
79#2692C2214yescomplemented
80#2692C2214yescomplemented
81#2692C2214yescomplemented
82#2691C2214yescomplemented
83#2691C2214yescomplemented
84#2690C2214yescomplemented
85#2688C2214yescomplemented
86#2686C2214yescomplemented
87#2685C2214yescomplemented
88#2684C2214yescomplemented
89#2683C2214yescomplemented
90#2683C2214yescomplemented
91#2681C2214yescomplemented
92#2676C2214yescomplemented
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2676C2214yescomplemented
96#2676C2214yescomplemented
97#2672C2214yescomplemented
98#2672C2214yescomplemented
99#2671C2214yescomplemented
100#2670C2214yescomplemented
101#2668C2214yescomplemented
102#2664C2212yescomplemented
103#2648C2214yescomplemented
104#2639C2212yescomplemented
105#2638C2214yescomplemented
106#2636C2212yescomplemented
107#2630C2214yescomplemented
108#2628C2211yescharacteristic, complemented
109#2626C2212yescomplemented
110#2626C2214yescomplemented
111#2619C2211yescharacteristic
112#2617C2212yes—
113#2616C2212yescomplemented
114#2589C2214yescomplemented
115#2581C2211yescharacteristic, complemented
116#2580C2211yescharacteristic
117#2580C2212yescomplemented
118#2574C2214yescomplemented
119#2570C2212yescomplemented
120#2564C2212yescomplemented
121#2564C2214yescomplemented
122#2563C2211yescharacteristic
123#2563C2211yescharacteristic, complemented
124#2548C2211yescharacteristic, complemented
125#2544C2211yescharacteristic
126#2544C2212yescomplemented
127#2544C2211yescharacteristic, complemented
128#2543C2212yes—
129#2542C2211yescharacteristic
130#2542C2211yescharacteristic, complemented
131#2542C2212yescomplemented
132#2541C2211yescharacteristic
133#2541C2212yescomplemented
134#2540C2212yes—
135#2540C2214yescomplemented
136#2540C2214yescomplemented
137#2540C2214yescomplemented
138#2538C2212yes—
139#2538C2212yescomplemented
140#2538C2212yescomplemented
141#2535C2211yescharacteristic
142#2535C2211yescharacteristic, complemented
143#2534C2214yescomplemented
144#2534C2214yescomplemented
145#2525C2212yescomplemented
146#2521C2212yescomplemented
147#2520C2212yescomplemented
148#2515C2212yescomplemented
149#2513C2212yescomplemented
150#2504C2212yescomplemented
151#2500C2211yescharacteristic, complemented
152#2499C2211yescharacteristic, complemented
153#2492C2212yescomplemented
154#2491C2212yescomplemented
155#2490C2214yescomplemented
156#2472C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2468C2212yescomplemented
161#2467C2214yescomplemented
162#2465C2214yescomplemented
163#2465C2212yescomplemented
164#2463C2214yescomplemented
165#2463C2214yescomplemented
166#2463C2214yescomplemented
167#2461C2212yes—
168#2461C2214yescomplemented
169#2459C2214yescomplemented
170#2458C2212yescomplemented
171#2456C2214yescomplemented
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yescomplemented
175#2452C2212yescomplemented
176#2451C2212yescomplemented
177#2450C2214yescomplemented
178#2450C2214yescomplemented
179#2448C2212yescomplemented
180#2447C2214yescomplemented
181#2445C2212yescomplemented
182#2440C2212yescomplemented
183#2440C2212yescomplemented
184#2439C2212yescomplemented
185#2437C2214yescomplemented
186#2437C2214yescomplemented
187#2437C2214yescomplemented
188#2435C2211yescharacteristic
189#2435C2212yes—
190#2435C2214yescomplemented
191#2433C2212yes—
192#2433C2211yescharacteristic
193#2430C2212yescomplemented
194#2430C2214yescomplemented
195#2428C2212yes—
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2214yescomplemented
200#2427C2212yescomplemented
201#2427C2214yescomplemented
202#2426C2212yescomplemented
203#2425C2214yescomplemented
204#2424C2214yes—
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2420C2214yescomplemented
208#2420C2212yescomplemented
209#2420C2212yescomplemented
210#2420C2212yescomplemented
211#2420C2212yescomplemented
212#2419C2214yescomplemented
213#2418C2214yescomplemented
214#2416C2212yescomplemented
215#2414C2212yes—
216#2410C2214yes—
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2409C2214yescomplemented
220#2409C2212yescomplemented
221#2408C2212yes—
222#2407C2214yescomplemented
223#2407C2214yescomplemented
224#2404C2214yescomplemented
225#2404C2214yescomplemented
226#2399C2211yescharacteristic, complemented
227#2398C2211yescharacteristic, complemented
228#2396C2211yescharacteristic, complemented
229#2392C2211yescharacteristic
230C2×#393C2212yescomplemented
231C2×#392C2212yes—
232#2378C2214yescomplemented
233#2377C2214yescomplemented
234#2368C2214yescomplemented
235#2366C2212yes—
236#2361C2212yescomplemented
237#2351C2211yescharacteristic, complemented
238#2349C2211yescharacteristic
239#2349C2211yescharacteristic, complemented
240#2349C2211yescharacteristic, complemented
241#2349C2212yescomplemented
242#2339C2214yescomplemented
243D4×C22⋊C4C2212yes—
244D4×C22⋊C4C2212yes—
245D4×C22⋊C4C2212yes—
246D4×C22⋊C4C2214yescomplemented
247D4×C22⋊C4C2214yescomplemented
248#2331C2211yescharacteristic, complemented
249#2328C2211yescharacteristic
250#2328C2211yescharacteristic, complemented
251#2326C2211yescharacteristic, complemented
252#2325C2214yescomplemented
253#2325C2214yescomplemented
254#2321C2214yescomplemented
255C4×#127C2212yescomplemented
256C4×#127C2211yescharacteristic, complemented
257C4×#126C2212yescomplemented
258C4×#124C2212yes—
259C4×#124C2211yescharacteristic
260C4×#124C2212yescomplemented
261C4×C22⋊Q8C2212yescomplemented
262C4×#123C2212yescomplemented
263#2298C2211yescharacteristic, complemented
264C2×#390C2212yes—
265C42×Q8C2211yescharacteristic, complemented
266C42×D4C2211yescharacteristic, complemented
267C22×#41C2314yes—
268C22×#41C2312yes—
269C23×Q8C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C23×D4C2312yes—
273C23×D4C2314yes—
274#559—48no—
275#554—44no—
276#550—44no—
277D4×Q8—44no—
278#548—416no—
279#546—416no—
280D42—44no—
281D42—48no—
282#543—416no—
283#542—44no—
284#532—48no—
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2312yes—
288C2×C4⋊Q8C2312yes—
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#127C2312yes—
294C2×#126C2312yes—
295C2×#126C2312yes—
296C2×#125C2312yes—
297C2×#124C2311yescharacteristic
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308C2×#124C2311yescharacteristic
309C2×#123C2312yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357#518—44no—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398#400C2311yescharacteristic
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#399C2312yes—
405#399C2312yes—
406#399C2312yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2311yescharacteristic
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2311yescharacteristic
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#397C2311yescharacteristic
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2312yes—
454#395C2312yes—
455#395C2314yes—
456#395C2314yes—
457#395C2312yes—
458#395C2311yescharacteristic
459#395C2312yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2311yescharacteristic
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2312yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2312yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2311yescharacteristic
501#393C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2312yes—
509#392C2312yes—
510#392C2314yes—
511#392C2312yes—
512#392C2311yescharacteristic
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#383C2312yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2314yes—
708#379C2314yes—
709#379C2314yes—
710#379C2314yes—
711#379C2314yes—
712#379C2314yes—
713#379C2314yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2311yescharacteristic
739#376C2311yescharacteristic
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2314yes—
743C2×#95C2312yes—
744C43C2312yes—
745C43C2311yescharacteristic
746C25C2412yes—
747C25C2414yes—
748C2×#41—48no—
749C2×#41—48no—
750C2×#41—48no—
751C2×#41—48no—
752C2×#41—44no—
753C22×Q8—48no—
754C22×Q8—44no—
755C22×Q8C2411yescharacteristic
756C22×Q8C2411yescharacteristic
757C22×Q8C2412yes—
758C22×Q8C2414yes—
759C22×Q8C2412yes—
760C22×Q8C2414yes—
761C22×Q8C2412yes—
762C22×D4—24no—
763C22×D4—24no—
764C22×D4—28no—
765C22×D4—42no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—44no—
769C22×D4—48no—
770C22×D4—48no—
771C22×D4—48no—
772C22×D4—48no—
773C22×D4C2411yescharacteristic
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2411yescharacteristic
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2414yes—
809C23×C4C2414yes—
810C4⋊Q8—24no—
811C4⋊Q8—44no—
812C4⋊Q8—42no—
813C4⋊Q8—44no—
814#127—24no—
815#127—28no—
816#127—24no—
817#127—24no—
818#127—44no—
819#126—44no—
820#126—44no—
821#125—44no—
822#124—24no—
823#124—24no—
824#124—44no—
825#124—48no—
826#124—48no—
827#124—42no—
828#124—48no—
829#124—44no—
830#124—44no—
831#124—48no—
832#124—48no—
833#124—48no—
834#123—28no—
835#123—48no—
836#123—44no—
837#123—48no—
838#123—48no—
839C22⋊Q8—28no—
840C22⋊Q8—216no—
841C22⋊Q8—216no—
842C22⋊Q8—48no—
843C22⋊Q8—48no—
844C22⋊Q8—48no—
845C22⋊Q8—48no—
846C22⋊Q8—48no—
847C22⋊Q8—48no—
848C22⋊Q8—48no—
849C22⋊Q8—48no—
850C22⋊Q8—48no—
851C22⋊Q8—48no—
852C22⋊Q8—44no—
853C22⋊Q8—48no—
854C22⋊Q8—42no—
855C22⋊Q8—48no—
856C22⋊Q8—48no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859#121—28no—
860#121—216no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—44no—
871#121—42no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#120—48no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—48no—
897C4×D4—48no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—48no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907C4×D4—48no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—48no—
911#117—24no—
912#117—42no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C22⋊C4—44no—
962C2×C22⋊C4—44no—
963C2×C22⋊C4—48no—
964C2×C22⋊C4—48no—
965C2×C22⋊C4—48no—
966C2×C22⋊C4—48no—
967C2×C22⋊C4—48no—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C42—44no—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111C24—24no—
1112C24—28no—
1113C24—24no—
1114C24—28no—
1115C24—44no—
1116C24—42no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24C2511yescharacteristic
1124C24C2514yes—
1125C24C2512yes—
1126C24C2512yes—
1127C24C2512yes—
1128C24C2512yes—
1129#41—832no—
1130#41—816no—
1131C2×Q8—24no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—28no—
1137C2×Q8—28no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—42no—
1149C2×Q8—816no—
1150C2×D4—24no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—28no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—416no—
1208C2×D4—816no—
1209C2×D4—816no—
1210C2×D4—832no—
1211C2×D4H(5,𝔽2)14yes—
1212C2×D42−1+414yes—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4H(5,𝔽2)18yes—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—42no—
1416C42—42no—
1417C42H(5,𝔽2)14yes—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—24no—
1430C23—22no—
1431C23—24no—
1432C23—21no—
1433C23—24no—
1434C23—22no—
1435C23—24no—
1436C23—22no—
1437C23—24no—
1438C23—22no—
1439C23—24no—
1440C23—21no—
1441C23—24no—
1442C23—21no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—48no—
1450C23—416no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—88no—
1455C23—88no—
1456C23—88no—
1457C23—164no—
1458C23—162no—
1459C23—162no—
1460C23—164no—
1461C23C2×H(5,𝔽2)14yes—
1462C23C2×2−1+414yes—
1463C23#58514yes—
1464C23C2611yescharacteristic
1465Q8—28no—
1466Q8—44no—
1467Q8—84no—
1468Q8—88no—
1469Q8—84no—
1470Q8—88no—
1471Q8—162no—
1472D4—28no—
1473D4—28no—
1474D4—28no—
1475D4—416no—
1476D4—48no—
1477D4—416no—
1478D4—48no—
1479D4—416no—
1480D4—44no—
1481D4—48no—
1482D4—84no—
1483D4—88no—
1484D4—84no—
1485D4—88no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489D4—88no—
1490D4—88no—
1491D4—164no—
1492D4—162no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—48no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—84no—
1556C2×C4—88no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—88no—
1560C2×C4—84no—
1561C2×C4—88no—
1562C2×C4—88no—
1563C2×C4—88no—
1564C2×C4—164no—
1565C2×C4—162no—
1566C2×C4—164no—
1567C2×C4—162no—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C2×C4C2×H(5,𝔽2)14yes—
1570C2×C4C2×H(5,𝔽2)14yes—
1571C2×C4C2×H(5,𝔽2)14yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×2−1+412yes—
1576C22—24no—
1577C22—24no—
1578C22—24no—
1579C22—28no—
1580C22—28no—
1581C22—24no—
1582C22—24no—
1583C22—42no—
1584C22—44no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—44no—
1595C22—42no—
1596C22—44no—
1597C22—44no—
1598C22—42no—
1599C22—44no—
1600C22—44no—
1601C22—44no—
1602C22—44no—
1603C22—42no—
1604C22—44no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—44no—
1609C22—41no—
1610C22—168no—
1611C22—1616no—
1612C22C22×H(5,𝔽2)11yescharacteristic
1613C22C22×H(5,𝔽2)11yescharacteristic
1614C22C22×H(5,𝔽2)12yes—
1615C22C22×2−1+411yescharacteristic
1616C22C2×#58512yes—
1617C4—24no—
1618C4—24no—
1619C4—22no—
1620C4—24no—
1621C4—22no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—44no—
1627C4—44no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—42no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—42no—
1640C4—41no—
1641C4#353614yes—
1642C2—44no—
1643C2—44no—
1644C2—44no—
1645C2—82no—
1646C2—84no—
1647C2—81no—
1648C2C2×#353611yescharacteristic
1649C2#6282411yescharacteristic
1650C2#6283211yescharacteristic
1651C2#6301212yes—
1652C2#6301512yes—
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. #59420C2semidirect
2. #59095C2semidirect
3. #55014C2semidirect
4. #53447C2semidirect
5. #50979C2semidirect
6. #48661C2semidirect
7. #48341C2semidirect
8. #47833C2semidirect
9. #46042C2semidirect
10. #45670C2semidirect
11. #45421C2semidirect
12. #45337C2semidirect
13. #44947C2semidirect
14. #44936C2semidirect
15. #43101C2semidirect
16. #43002C2semidirect
17. #42794C2semidirect
18. #42429C2semidirect
19. #40152C2semidirect
20. #40049C2semidirect
21. #39853C2semidirect
22. #39367C2semidirect
23. #37322C2semidirect
24. #36566C2semidirect
25. #36465C2semidirect
26. #36289C2semidirect
27. #36149C2semidirect
28. #35702C2semidirect
29. #35691C2semidirect
30. #35536C2semidirect
31. #34968C2semidirect
32. C2×#559C22semidirect
33. C2×#554C22semidirect
34. C2×#550C22semidirect
35. C2×D4×Q8C22semidirect
36. C2×#548C22semidirect
37. C2×#546C22semidirect
40. C2×#543C22semidirect
41. C2×#542C22semidirect
42. C2×#532C22semidirect
44. #2864C22semidirect
45. #2862C22semidirect
46. #2858C22semidirect
47. #2858C22semidirect
48. #2857C22semidirect
49. #2850C22semidirect
50. #2837C22semidirect
51. #2829C22semidirect
52. #2820C22semidirect
53. #2813C22semidirect
54. #2798C22semidirect
55. #2786C22semidirect
56. #2761C22semidirect
57. #2751C22semidirect
58. #2749C22semidirect
59. #2748C22semidirect
60. #2740C22semidirect
61. #2737C22semidirect
62. #2732C22semidirect
63. #2730C22semidirect
64. #2730C22semidirect
65. #2730C22semidirect
66. #2730C22semidirect
67. #2728C22semidirect
68. #2712C22semidirect
69. #2712C22semidirect
70. #2706C22semidirect
71. #2700C22semidirect
72. #2700C22semidirect
73. #2700C22semidirect
74. #2697C22semidirect
75. #2697C22semidirect
76. #2696C22semidirect
77. #2696C22semidirect
78. #2692C22semidirect
79. #2692C22semidirect
80. #2692C22semidirect
81. #2692C22semidirect
82. #2691C22semidirect
83. #2691C22semidirect
84. #2690C22semidirect
85. #2688C22semidirect
86. #2686C22semidirect
87. #2685C22semidirect
88. #2684C22semidirect
89. #2683C22semidirect
90. #2683C22semidirect
91. #2681C22semidirect
92. #2676C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
95. #2676C22semidirect
96. #2676C22semidirect
97. #2672C22semidirect
98. #2672C22semidirect
99. #2671C22semidirect
100. #2670C22semidirect
101. #2668C22semidirect
102. #2664C22semidirect
103. #2648C22semidirect
104. #2639C22semidirect
105. #2638C22semidirect
106. #2636C22semidirect
107. #2630C22semidirect
108. #2628C22semidirect
109. #2626C22semidirect
110. #2626C22semidirect
113. #2616C22semidirect
114. #2589C22semidirect
115. #2581C22semidirect
117. #2580C22semidirect
118. #2574C22semidirect
119. #2570C22semidirect
120. #2564C22semidirect
121. #2564C22semidirect
123. #2563C22semidirect
124. #2548C22semidirect
126. #2544C22semidirect
127. #2544C22semidirect
130. #2542C22semidirect
131. #2542C22semidirect
133. #2541C22semidirect
135. #2540C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
139. #2538C22semidirect
140. #2538C22semidirect
142. #2535C22semidirect
143. #2534C22semidirect
144. #2534C22semidirect
145. #2525C22semidirect
146. #2521C22semidirect
147. #2520C22semidirect
148. #2515C22semidirect
149. #2513C22semidirect
150. #2504C22semidirect
151. #2500C22semidirect
152. #2499C22semidirect
153. #2492C22semidirect
154. #2491C22semidirect
155. #2490C22semidirect
156. #2472C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2468C22semidirect
161. #2467C22semidirect
162. #2465C22semidirect
163. #2465C22semidirect
164. #2463C22semidirect
165. #2463C22semidirect
166. #2463C22semidirect
168. #2461C22semidirect
169. #2459C22semidirect
170. #2458C22semidirect
171. #2456C22semidirect
174. #2452C22semidirect
175. #2452C22semidirect
176. #2451C22semidirect
177. #2450C22semidirect
178. #2450C22semidirect
179. #2448C22semidirect
180. #2447C22semidirect
181. #2445C22semidirect
182. #2440C22semidirect
183. #2440C22semidirect
184. #2439C22semidirect
185. #2437C22semidirect
186. #2437C22semidirect
187. #2437C22semidirect
190. #2435C22semidirect
193. #2430C22semidirect
194. #2430C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2425C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
211. #2420C22semidirect
212. #2419C22semidirect
213. #2418C22semidirect
214. #2416C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2404C22semidirect
225. #2404C22semidirect
226. #2399C22semidirect
227. #2398C22semidirect
228. #2396C22semidirect
230. C2×#393C22semidirect
232. #2378C22semidirect
233. #2377C22semidirect
234. #2368C22semidirect
236. #2361C22semidirect
237. #2351C22semidirect
239. #2349C22semidirect
240. #2349C22semidirect
241. #2349C22semidirect
242. #2339C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. #2331C22semidirect
250. #2328C22semidirect
251. #2326C22semidirect
252. #2325C22semidirect
253. #2325C22semidirect
254. #2321C22semidirect
255. C4×#127C22semidirect
256. C4×#127C22semidirect
257. C4×#126C22semidirect
260. C4×#124C22semidirect
261. C4×C22⋊Q8C22semidirect
262. C4×#123C22semidirect
263. #2298C22semidirect
265. C42×Q8C22semidirect
266. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594202
#590952
#550142
#534472
#509792
#486612
#483412
#478332
#460422
#456702
#454212
#453372
#449472
#449362
#431012
#430022
#427942
#424292
#401522
#400492
#398532
#393672
#373222
#365662
#364652
#362892
#361492
#357022
#356912
#355362
#349682