Finite Group Databasebeta

← #7732010

Subgroups — #7732010

Order 512.

6200 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48015C214yesmaximal, complemented
2#48013C214yesmaximal, complemented
3#47027C214yesmaximal, complemented
4#46449C214yesmaximal, complemented
5#43080C214yesmaximal, complemented
6#43002C214yesmaximal, complemented
7#39433C212yesmaximal, complemented
8#39064C212yesmaximal, complemented
9#38249C212yesmaximal, complemented
10#38110C212yesmaximal, complemented
11#37957C212yesmaximal, complemented
12#37949C212yesmaximal, complemented
13#37872C212yesmaximal, complemented
14#37860C212yesmaximal, complemented
15#37780C212yesmaximal, complemented
16#37696C212yesmaximal, complemented
17#37439C211yesmaximal, characteristic, complemented
18#37346C212yesmaximal, complemented
19#37343C212yesmaximal, complemented
20#36277C212yesmaximal, complemented
21#36121C212yesmaximal, complemented
22#35600C212yesmaximal, complemented
23#35539C212yesmaximal, complemented
24#35251C211yesmaximal, characteristic, complemented
25#35002C211yesmaximal, characteristic, complemented
26C2×#2431C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34175C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#546C2214yes—
32C2×#543C2212yes—
33C2×#542C2212yescomplemented
34C2×#537C2211yescharacteristic, complemented
35C2×#537C2211yescharacteristic, complemented
36C2×#532C2212yescomplemented
37C22×#127C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C2×#520C2211yescharacteristic, complemented
42C2×#520C2211yescharacteristic, complemented
43#2863C2212yescomplemented
44#2858C2212yescomplemented
45#2857C2212yes—
46#2857C2212yes—
47#2856C2212yescomplemented
48#2855C2212yescomplemented
49#2848C2212yes—
50#2847C2212yes—
51#2813C2214yescomplemented
52#2797C2214yescomplemented
53#2797C2214yescomplemented
54#2796C2214yescomplemented
55#2786C2214yescomplemented
56#2784C2214yescomplemented
57#2780C2214yescomplemented
58#2756C2214yescomplemented
59#2751C2214yescomplemented
60#2749C2214yescomplemented
61#2749C2214yescomplemented
62#2748C2214yescomplemented
63#2740C2214yescomplemented
64#2737C2214yescomplemented
65#2730C2214yescomplemented
66#2730C2214yescomplemented
67#2730C2214yescomplemented
68#2717C2214yescomplemented
69#2715C2214yescomplemented
70#2715C2214yescomplemented
71#2714C2214yescomplemented
72#2714C2214yescomplemented
73#2712C2214yescomplemented
74#2710C2214yescomplemented
75#2708C2214yescomplemented
76#2705C2214yescomplemented
77#2700C2214yescomplemented
78#2700C2214yescomplemented
79#2699C2214yescomplemented
80#2696C2214yescomplemented
81#2696C2214yescomplemented
82#2692C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2686C2214yescomplemented
86#2686C2214yescomplemented
87#2676C2214yescomplemented
88#2676C2214yescomplemented
89#2676C2214yescomplemented
90#2676C2214yescomplemented
91#2671C2214yescomplemented
92#2659C2212yes—
93#2659C2212yes—
94#2656C2212yescomplemented
95#2644C2212yescomplemented
96#2640C2212yescomplemented
97#2639C2212yescomplemented
98#2626C2212yes—
99#2624C2212yescomplemented
100#2624C2212yescomplemented
101#2620C2212yescomplemented
102#2617C2212yes—
103#2616C2212yescomplemented
104#2615C2212yescomplemented
105#2615C2212yescomplemented
106#2610C2214yescomplemented
107#2607C2214yescomplemented
108#2605C2214yescomplemented
109#2603C2214yescomplemented
110#2603C2214yescomplemented
111#2601C2214yescomplemented
112#2600C2214yescomplemented
113#2600C2214yescomplemented
114#2589C2214yescomplemented
115#2588C2214yescomplemented
116#2579C2214yescomplemented
117#2569C2214yes—
118#2564C2214yes—
119#2564C2214yescomplemented
120#2560C2214yescomplemented
121#2555C2214yescomplemented
122#2549C2214yescomplemented
123#2549C2214yescomplemented
124#2544C2214yescomplemented
125#2540C2214yescomplemented
126#2540C2214yescomplemented
127#2531C2214yescomplemented
128#2521C2214yescomplemented
129#2512C2212yescomplemented
130#2511C2212yescomplemented
131#2492C2212yescomplemented
132#2491C2212yescomplemented
133#2487C2212yes—
134#2480C2214yes—
135#2480C2214yes—
136#2476C2214yescomplemented
137#2474C2214yescomplemented
138#2472C2214yes—
139#2472C2214yes—
140#2464C2214yescomplemented
141#2464C2214yescomplemented
142#2463C2214yescomplemented
143#2463C2214yescomplemented
144#2461C2214yescomplemented
145#2461C2214yescomplemented
146#2456C2214yescomplemented
147#2456C2214yescomplemented
148#2452C2212yescomplemented
149#2451C2212yescomplemented
150#2450C2214yescomplemented
151#2449C2214yescomplemented
152#2448C2212yescomplemented
153#2447C2212yescomplemented
154#2445C2212yescomplemented
155#2445C2212yescomplemented
156#2445C2214yescomplemented
157#2443C2214yescomplemented
158#2440C2212yescomplemented
159#2440C2212yescomplemented
160#2440C2212yescomplemented
161#2440C2212yescomplemented
162#2437C2214yes—
163#2437C2214yes—
164#2435C2214yes—
165#2431C2212yes—
166#2431C2212yes—
167#2431C2214yes—
168#2431C2214yes—
169#2431C2212yes—
170#2431C2212yes—
171#2431C2214yescomplemented
172#2430C2214yescomplemented
173#2430C2214yescomplemented
174#2428C2212yescomplemented
175#2428C2214yescomplemented
176#2428C2212yescomplemented
177#2427C2212yescomplemented
178#2426C2212yescomplemented
179#2423C2212yescomplemented
180#2422C2212yescomplemented
181#2419C2214yescomplemented
182#2416C2212yescomplemented
183#2416C2212yescomplemented
184#2412C2214yes—
185#2412C2214yes—
186#2410C2214yes—
187#2410C2214yes—
188#2409C2212yes—
189#2408C2214yes—
190#2408C2212yes—
191#2408C2212yes—
192#2407C2214yescomplemented
193#2407C2212yescomplemented
194#2407C2214yescomplemented
195#2407C2212yescomplemented
196#2406C2214yescomplemented
197C2×#392C2212yes—
198C2×#392C2212yes—
199#2377C2214yescomplemented
200#2368C2214yes—
201#2361C2212yescomplemented
202#2361C2212yescomplemented
203#2353C2214yes—
204#2345C2212yes—
205#2341C2212yescomplemented
206Q8×C22⋊C4C2212yes—
207#2339C2214yescomplemented
208#2339C2212yescomplemented
209D4×C22⋊C4C2212yes—
210D4×C22⋊C4C2214yes—
211D4×C22⋊C4C2212yes—
212D4×C22⋊C4C2214yes—
213D4×C22⋊C4C2214yes—
214#2335C2212yescomplemented
215#2335C2212yescomplemented
216#2333C2212yescomplemented
217#2332C2212yescomplemented
218#2329C2211yescharacteristic
219#2329C2211yescharacteristic
220#2326C2212yescomplemented
221#2325C2211yescharacteristic
222#2325C2211yescharacteristic
223#2325C2212yescomplemented
224#2325C2212yescomplemented
225#2324C2212yescomplemented
226#2324C2212yescomplemented
227#2324C2212yescomplemented
228#2321C2212yes—
229#2321C2212yes—
230#2319C2212yescomplemented
231#2315C2212yes—
232#2315C2212yes—
233#2312C2212yes—
234#2311C2211yescharacteristic, complemented
235#2311C2212yescomplemented
236#2311C2212yescomplemented
237#2311C2211yescharacteristic, complemented
238#2311C2211yescharacteristic, complemented
239#2311C2211yescharacteristic, complemented
240C4×#127C2212yescomplemented
241C4×C22⋊Q8C2212yescomplemented
242#2298C2212yescomplemented
243#2297C2212yescomplemented
244#2295C2212yescomplemented
245C2×#391C2211yescharacteristic
246#2293C2212yescomplemented
247C2×#390C2211yescharacteristic
248#2290C2212yes—
249#2290C2212yescomplemented
250C2×#386C2212yes—
251C2×#386C2212yes—
252#2280C2211yescharacteristic
253#2280C2212yes—
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256C2×#380C2212yes—
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C22×#41C2311yescharacteristic
266C22×#41C2312yes—
267C22×#41C2312yes—
268C22×#41C2311yescharacteristic
269C22×#41C2314yes—
270C23×Q8C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2311yescharacteristic
274C23×D4C2312yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277C24×C4C2312yes—
278C24×C4C2311yescharacteristic
279#546—416no—
280#543—48no—
281#542—48no—
282#537—44no—
283#537—44no—
284#532—48no—
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2312yes—
287C2×#127—44no—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#124—44no—
294C2×#124C2312yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302#525—28no—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×#121—28no—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2311yescharacteristic
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#120C2312yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347#520—44no—
348#520—44no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2312yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2312yes—
599#386C2312yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#384C2312yes—
652#384C2312yes—
653#383C2314yes—
654#381C2314yes—
655#381C2312yes—
656#381C2314yes—
657#381C2314yes—
658#381C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2312yes—
662#380C2314yes—
663#380C2311yescharacteristic
664#380C2311yescharacteristic
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2314yes—
676#380C2311yescharacteristic
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#379C2314yes—
689#379C2312yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717#376C2312yes—
718#376C2314yes—
719C2×#95C2312yes—
720C2×#95C2314yes—
721C2×#95C2312yes—
722C2×#95C2311yescharacteristic
723C2×#95C2311yescharacteristic
724C2×#95C2312yes—
725C2×#95C2312yes—
726C43C2312yes—
727C25C2412yes—
728C25C2412yes—
729C25C2411yescharacteristic
730C2×#41—24no—
731C2×#41—24no—
732C2×#41—24no—
733C2×#41—24no—
734C2×#41—24no—
735C2×#41—28no—
736C2×#41—24no—
737C2×#41—24no—
738C2×#41—24no—
739C2×#41—28no—
740C2×#41—24no—
741C2×#41—42no—
742C2×#41—42no—
743C2×#41—44no—
744C2×#41—44no—
745C2×#41—48no—
746C2×#41—42no—
747C2×#41—44no—
748C2×#41—42no—
749C2×#41—42no—
750C2×#41—42no—
751C2×#41—44no—
752C2×#41—48no—
753C2×#41—464no—
754C2×#41—84no—
755C22×Q8—24no—
756C22×Q8—24no—
757C22×Q8—42no—
758C22×Q8C2411yescharacteristic
759C22×Q8C2412yes—
760C22×Q8C2411yescharacteristic
761C22×Q8C2411yescharacteristic
762C22×Q8C2414yes—
763C22×Q8C2414yes—
764C22×D4—28no—
765C22×D4—28no—
766C22×D4—24no—
767C22×D4—24no—
768C22×D4—24no—
769C22×D4—28no—
770C22×D4—28no—
771C22×D4—42no—
772C22×D4—44no—
773C22×D4—42no—
774C22×D4—42no—
775C22×D4—44no—
776C22×D4—44no—
777C22×D4—44no—
778C22×D4—82no—
779C22×D4—82no—
780C22×D4—82no—
781C22×D4—82no—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2411yescharacteristic
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2411yescharacteristic
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2411yescharacteristic
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C23×C4—28no—
806C23×C4—42no—
807C23×C4—42no—
808C23×C4—44no—
809C23×C4—44no—
810C23×C4#4118yescomplemented
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840#127—28no—
841#127—44no—
842#127—48no—
843#126—48no—
844#126—84no—
845#124—28no—
846#124—48no—
847#124—44no—
848#124—48no—
849#124—48no—
850#124—48no—
851#124—84no—
852#124—84no—
853#123—28no—
854#123—48no—
855#123—48no—
856#123—48no—
857#123—84no—
858C22⋊Q8—28no—
859C22⋊Q8—24no—
860C22⋊Q8—24no—
861C22⋊Q8—216no—
862C22⋊Q8—44no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—48no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—84no—
872#121—28no—
873#121—28no—
874#121—28no—
875#121—28no—
876#121—28no—
877#121—24no—
878#121—24no—
879#121—44no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—48no—
889#121—44no—
890#121—84no—
891#121—84no—
892#121—84no—
893#120—28no—
894#120—48no—
895#120—48no—
896C4×Q8—28no—
897C4×Q8—44no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4—48no—
910C4×D4—84no—
911C4×D4—84no—
912C4×D4—84no—
913#117—24no—
914#117—42no—
915#117—42no—
916#117—44no—
917#117—44no—
918#117—44no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—42no—
921C2×C4⋊C4—42no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4—28no—
969C2×C22⋊C4—24no—
970C2×C22⋊C4—24no—
971C2×C22⋊C4—44no—
972C2×C22⋊C4—44no—
973C2×C22⋊C4—44no—
974C2×C22⋊C4—44no—
975C2×C22⋊C4—48no—
976C2×C22⋊C4—48no—
977C2×C22⋊C4—82no—
978C2×C22⋊C4—82no—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C42—42no—
1043C2×C42—42no—
1044C2×C42—44no—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110C24—22no—
1111C24—22no—
1112C24—24no—
1113C24—24no—
1114C24—24no—
1115C24—24no—
1116C24—24no—
1117C24—24no—
1118C24—24no—
1119C24—42no—
1120C24—42no—
1121C24—41no—
1122C24—42no—
1123C24—41no—
1124C24—41no—
1125C24—41no—
1126C24—42no—
1127C24—42no—
1128C24—42no—
1129C24—42no—
1130C24C2×#4114yes—
1131C24C2514yes—
1132C24C2512yes—
1133C24C2512yes—
1134C24C2511yescharacteristic
1135C24C2511yescharacteristic
1136C24C2512yes—
1137C24C2511yescharacteristic
1138#41—232no—
1139#41—416no—
1140#41—416no—
1141#41—432no—
1142#41—416no—
1143#41—432no—
1144#41—88no—
1145#41—832no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—28no—
1155C2×Q8—42no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—416no—
1164C2×Q8H(5,𝔽2)14yes—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—28no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—28no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—22no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—28no—
1199C2×D4—416no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—432no—
1235C2×D4—88no—
1236C2×D4—816no—
1237C2×D4—816no—
1238C2×D4—816no—
1239C2×D4H(5,𝔽2)14yes—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—28no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—416no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—432no—
1315C22×C4C2×#4114yes—
1316C22×C4C2×#4114yes—
1317C22×C4C2×#4114yes—
1318C22×C4C2×#4114yes—
1319C22×C4C2×#4114yes—
1320C22×C4C2×#4114yes—
1321C22×C4H(5,𝔽2)14yes—
1322C22×C42−1+414yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—28no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—28no—
1456C42—24no—
1457C42—24no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—44no—
1463C42—42no—
1464C42—44no—
1465C42—44no—
1466C42—42no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—21no—
1489C23—28no—
1490C23—22no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—24no—
1511C23—44no—
1512C23—44no—
1513C23—48no—
1514C23—48no—
1515C23—48no—
1516C23—48no—
1517C23—48no—
1518C23—84no—
1519C23—82no—
1520C23—82no—
1521C23—82no—
1522C23—84no—
1523C23—82no—
1524C23—84no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23C22×#4112yes—
1532C23C22×#4112yes—
1533C23C22×#4112yes—
1534C23C2×H(5,𝔽2)14yes—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2×2−1+412yes—
1537C23C2611yescharacteristic
1538Q8—28no—
1539Q8—48no—
1540Q8—44no—
1541Q8—82no—
1542Q8—88no—
1543Q8—164no—
1544D4—216no—
1545D4—28no—
1546D4—48no—
1547D4—48no—
1548D4—416no—
1549D4—416no—
1550D4—48no—
1551D4—48no—
1552D4—416no—
1553D4—48no—
1554D4—44no—
1555D4—48no—
1556D4—84no—
1557D4—88no—
1558D4—88no—
1559D4—82no—
1560D4—84no—
1561D4—88no—
1562D4—84no—
1563D4—88no—
1564D4—88no—
1565D4—164no—
1566D4—164no—
1567C2×C4—216no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—28no—
1581C2×C4—28no—
1582C2×C4—28no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—48no—
1638C2×C4—48no—
1639C2×C4—84no—
1640C2×C4—82no—
1641C2×C4—82no—
1642C2×C4—84no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—162no—
1646C2×C4—162no—
1647C2×C4—164no—
1648C2×C4—164no—
1649C2×C4—162no—
1650C2×C4—162no—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4112yes—
1654C2×C4C22×#4112yes—
1655C2×C4C2×H(5,𝔽2)14yes—
1656C2×C4C2×H(5,𝔽2)14yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×2−1+414yes—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—24no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—24no—
1674C22—24no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—44no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—42no—
1702C22—44no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—88no—
1709C22—816no—
1710C22—168no—
1711C22#351114yes—
1712C22C23×#4111yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×2−1+411yescharacteristic
1717C22H(7,𝔽2)11yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—24no—
1723C4—24no—
1724C4—24no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—44no—
1732C4—44no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—44no—
1737C4—44no—
1738C4—42no—
1739C4—42no—
1740C4#349014yes—
1741C2—24no—
1742C2—42no—
1743C2—44no—
1744C2—42no—
1745C2—82no—
1746C2—82no—
1747C2—84no—
1748C2C2×#349011yescharacteristic
1749C2C2×#351111yescharacteristic
1750C2#6285511yescharacteristic
1751C2#6289211yescharacteristic
1752C2#6289411yescharacteristic
1753C2#6291611yescharacteristic
1754C2#6291711yescharacteristic
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. #48015C2semidirect
2. #48013C2semidirect
3. #47027C2semidirect
4. #46449C2semidirect
5. #43080C2semidirect
6. #43002C2semidirect
7. #39433C2semidirect
8. #39064C2semidirect
9. #38249C2semidirect
10. #38110C2semidirect
11. #37957C2semidirect
12. #37949C2semidirect
13. #37872C2semidirect
14. #37860C2semidirect
15. #37780C2semidirect
16. #37696C2semidirect
17. #37439C2semidirect
18. #37346C2semidirect
19. #37343C2semidirect
20. #36277C2semidirect
21. #36121C2semidirect
22. #35600C2semidirect
23. #35539C2semidirect
24. #35251C2semidirect
25. #35002C2semidirect
26. C2×#2431C2semidirect
27. #34379C2semidirect
28. #34175C2semidirect
29. #34082C2semidirect
33. C2×#542C22semidirect
34. C2×#537C22semidirect
35. C2×#537C22semidirect
36. C2×#532C22semidirect
41. C2×#520C22semidirect
42. C2×#520C22semidirect
43. #2863C22semidirect
44. #2858C22semidirect
47. #2856C22semidirect
48. #2855C22semidirect
51. #2813C22semidirect
52. #2797C22semidirect
53. #2797C22semidirect
54. #2796C22semidirect
55. #2786C22semidirect
56. #2784C22semidirect
57. #2780C22semidirect
58. #2756C22semidirect
59. #2751C22semidirect
60. #2749C22semidirect
61. #2749C22semidirect
62. #2748C22semidirect
63. #2740C22semidirect
64. #2737C22semidirect
65. #2730C22semidirect
66. #2730C22semidirect
67. #2730C22semidirect
68. #2717C22semidirect
69. #2715C22semidirect
70. #2715C22semidirect
71. #2714C22semidirect
72. #2714C22semidirect
73. #2712C22semidirect
74. #2710C22semidirect
75. #2708C22semidirect
76. #2705C22semidirect
77. #2700C22semidirect
78. #2700C22semidirect
79. #2699C22semidirect
80. #2696C22semidirect
81. #2696C22semidirect
82. #2692C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2686C22semidirect
86. #2686C22semidirect
87. #2676C22semidirect
88. #2676C22semidirect
89. #2676C22semidirect
90. #2676C22semidirect
91. #2671C22semidirect
94. #2656C22semidirect
95. #2644C22semidirect
96. #2640C22semidirect
97. #2639C22semidirect
99. #2624C22semidirect
100. #2624C22semidirect
101. #2620C22semidirect
103. #2616C22semidirect
104. #2615C22semidirect
105. #2615C22semidirect
106. #2610C22semidirect
107. #2607C22semidirect
108. #2605C22semidirect
109. #2603C22semidirect
110. #2603C22semidirect
111. #2601C22semidirect
112. #2600C22semidirect
113. #2600C22semidirect
114. #2589C22semidirect
115. #2588C22semidirect
116. #2579C22semidirect
119. #2564C22semidirect
120. #2560C22semidirect
121. #2555C22semidirect
122. #2549C22semidirect
123. #2549C22semidirect
124. #2544C22semidirect
125. #2540C22semidirect
126. #2540C22semidirect
127. #2531C22semidirect
128. #2521C22semidirect
129. #2512C22semidirect
130. #2511C22semidirect
131. #2492C22semidirect
132. #2491C22semidirect
136. #2476C22semidirect
137. #2474C22semidirect
140. #2464C22semidirect
141. #2464C22semidirect
142. #2463C22semidirect
143. #2463C22semidirect
144. #2461C22semidirect
145. #2461C22semidirect
146. #2456C22semidirect
147. #2456C22semidirect
148. #2452C22semidirect
149. #2451C22semidirect
150. #2450C22semidirect
151. #2449C22semidirect
152. #2448C22semidirect
153. #2447C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2443C22semidirect
158. #2440C22semidirect
159. #2440C22semidirect
160. #2440C22semidirect
161. #2440C22semidirect
171. #2431C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2427C22semidirect
178. #2426C22semidirect
179. #2423C22semidirect
180. #2422C22semidirect
181. #2419C22semidirect
182. #2416C22semidirect
183. #2416C22semidirect
192. #2407C22semidirect
193. #2407C22semidirect
194. #2407C22semidirect
195. #2407C22semidirect
196. #2406C22semidirect
199. #2377C22semidirect
201. #2361C22semidirect
202. #2361C22semidirect
205. #2341C22semidirect
207. #2339C22semidirect
208. #2339C22semidirect
214. #2335C22semidirect
215. #2335C22semidirect
216. #2333C22semidirect
217. #2332C22semidirect
220. #2326C22semidirect
223. #2325C22semidirect
224. #2325C22semidirect
225. #2324C22semidirect
226. #2324C22semidirect
227. #2324C22semidirect
230. #2319C22semidirect
234. #2311C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
237. #2311C22semidirect
238. #2311C22semidirect
239. #2311C22semidirect
240. C4×#127C22semidirect
241. C4×C22⋊Q8C22semidirect
242. #2298C22semidirect
243. #2297C22semidirect
244. #2295C22semidirect
246. #2293C22semidirect
249. #2290C22semidirect
810. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#480152
#480132
#470272
#464492
#430802
#430022
#394332
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