Finite Group Databasebeta

← #8157316

Subgroups — #8157316

Order 512.

6152 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59013C212yesmaximal, complemented
2#58997C212yesmaximal, complemented
3#57142C214yesmaximal, complemented
4#55752C214yesmaximal, complemented
5#54481C214yesmaximal, complemented
6#54197C214yesmaximal, complemented
7#53115C212yesmaximal, complemented
8#52969C212yesmaximal, complemented
9#52471C214yesmaximal, complemented
10#45019C212yesmaximal, complemented
11#44936C212yesmaximal, complemented
12#42589C212yesmaximal, complemented
13#42576C212yesmaximal, complemented
14#42475C212yesmaximal, complemented
15#42468C212yesmaximal, complemented
16#40486C214yesmaximal, complemented
17#39767C211yesmaximal, characteristic, complemented
18#39742C211yesmaximal, characteristic, complemented
19#38080C212yesmaximal, complemented
20#37893C212yesmaximal, complemented
21#37744C212yesmaximal, complemented
22#37672C212yesmaximal, complemented
23#37446C212yesmaximal, complemented
24#36731C212yesmaximal, complemented
25#36101C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35001C211yesmaximal, characteristic, complemented
28C2×#2420C211yesmaximal, characteristic, complemented
29#34570C211yesmaximal, characteristic, complemented
30C2×#553C2212yescomplemented
31C2×#550C2211yescharacteristic, complemented
32C2×D42C2214yescomplemented
33C2×D42C2212yescomplemented
34C2×D42C2212yescomplemented
35C2×D42C2211yescharacteristic, complemented
36C2×#534C2212yescomplemented
37C2×#534C2212yescomplemented
38C2×#525C2212yescomplemented
39C22×#121C2211yescharacteristic
40C22×#121C2212yescomplemented
41C22×#121C2212yescomplemented
42C22×C4×D4C2211yescharacteristic, complemented
43#2856C2211yescharacteristic
44#2856C2211yescharacteristic, complemented
45#2856C2212yescomplemented
46#2847C2212yescomplemented
47#2847C2212yescomplemented
48#2837C2214yescomplemented
49#2829C2214yescomplemented
50#2828C2214yescomplemented
51#2827C2214yescomplemented
52#2826C2214yescomplemented
53#2825C2214yescomplemented
54#2816C2214yescomplemented
55#2815C2214yescomplemented
56#2815C2214yescomplemented
57#2813C2214yescomplemented
58#2812C2214yescomplemented
59#2812C2214yescomplemented
60#2808C2212yescomplemented
61#2796C2214yescomplemented
62#2796C2214yescomplemented
63#2761C2214yescomplemented
64#2761C2214yescomplemented
65#2753C2214yescomplemented
66#2753C2214yescomplemented
67#2752C2214yescomplemented
68#2746C2214yescomplemented
69#2743C2214yescomplemented
70#2743C2214yescomplemented
71#2740C2214yescomplemented
72#2740C2214yescomplemented
73#2735C2214yescomplemented
74#2727C2212yescomplemented
75#2724C2212yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2709C2214yescomplemented
79#2708C2214yescomplemented
80#2705C2214yescomplemented
81#2703C2214yescomplemented
82#2703C2214yescomplemented
83#2701C2214yescomplemented
84#2699C2214yescomplemented
85#2699C2214yescomplemented
86#2697C2214yescomplemented
87#2696C2214yescomplemented
88#2693C2214yescomplemented
89#2691C2214yescomplemented
90#2688C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2682C2212yescomplemented
94#2679C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2675C2214yescomplemented
101#2673C2214yescomplemented
102#2671C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2668C2214yescomplemented
107#2668C2214yescomplemented
108#2668C2214yescomplemented
109#2668C2214yescomplemented
110#2661C2214yescomplemented
111#2656C2212yescomplemented
112#2656C2212yescomplemented
113#2656C2212yescomplemented
114#2653C2212yescomplemented
115#2652C2212yescomplemented
116#2649C2212yescomplemented
117#2648C2212yescomplemented
118#2647C2212yescomplemented
119#2646C2211yescharacteristic, complemented
120#2643C2212yescomplemented
121#2641C2212yescomplemented
122#2639C2211yescharacteristic, complemented
123#2639C2212yescomplemented
124#2635C2214yescomplemented
125#2635C2214yescomplemented
126#2630C2214yescomplemented
127#2626C2211yescharacteristic, complemented
128#2623C2214yescomplemented
129#2622C2212yescomplemented
130#2619C2212yescomplemented
131#2619C2212yescomplemented
132#2617C2211yescharacteristic
133#2617C2214yescomplemented
134#2613C2214yescomplemented
135#2613C2214yescomplemented
136#2602C2214yescomplemented
137#2580C2212yescomplemented
138#2570C2212yescomplemented
139#2566C2212yescomplemented
140#2543C2214yescomplemented
141#2543C2214yescomplemented
142#2543C2214yescomplemented
143#2541C2211yescharacteristic, complemented
144#2541C2211yescharacteristic, complemented
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2539C2214yescomplemented
148#2539C2214yescomplemented
149#2538C2211yescharacteristic, complemented
150#2537C2211yescharacteristic, complemented
151#2535C2212yescomplemented
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2513C2212yescomplemented
155#2504C2212yescomplemented
156#2501C2212yescomplemented
157#2501C2212yescomplemented
158#2500C2212yescomplemented
159#2490C2212yescomplemented
160#2482C2214yescomplemented
161#2480C2214yescomplemented
162#2471C2214yescomplemented
163#2457C2214yescomplemented
164#2456C2214yescomplemented
165#2454C2212yescomplemented
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yescomplemented
169#2444C2214yescomplemented
170#2444C2214yescomplemented
171#2443C2214yescomplemented
172#2443C2214yescomplemented
173#2442C2212yescomplemented
174#2441C2212yescomplemented
175#2433C2212yescomplemented
176#2433C2212yescomplemented
177#2433C2212yescomplemented
178#2433C2212yescomplemented
179#2433C2212yescomplemented
180#2428C2212yes—
181#2428C2212yescomplemented
182#2428C2212yescomplemented
183#2428C2212yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2420C2212yescomplemented
192#2420C2212yescomplemented
193#2420C2214yescomplemented
194#2420C2212yescomplemented
195#2420C2212yescomplemented
196#2420C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2212yescomplemented
199#2420C2214yescomplemented
200#2418C2214yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2416C2214yescomplemented
204#2416C2212yescomplemented
205#2416C2212yescomplemented
206#2414C2212yescomplemented
207#2414C2212yescomplemented
208#2414C2212yescomplemented
209#2412C2214yescomplemented
210#2410C2214yescomplemented
211#2410C2214yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2212yes—
219#2408C2212yescomplemented
220#2408C2212yescomplemented
221#2407C2212yescomplemented
222#2404C2214yescomplemented
223#2404C2214yescomplemented
224#2403C2214yescomplemented
225#2403C2214yescomplemented
226#2401C2212yescomplemented
227#2398C2212yescomplemented
228#2395C2212yescomplemented
229#2392C2212yescomplemented
230C2×#397C2212yescomplemented
231C2×#394C2212yescomplemented
232#2366C2212yescomplemented
233#2361C2212yescomplemented
234#2361C2212yescomplemented
235#2361C2212yescomplemented
236#2354C2211yescharacteristic, complemented
237#2352C2212yescomplemented
238D4×C4⋊C4C2211yescharacteristic, complemented
239D4×C22⋊C4C2214yescomplemented
240D4×C22⋊C4C2212yescomplemented
241D4×C22⋊C4C2212yescomplemented
242#2328C2212yescomplemented
243#2328C2212yescomplemented
244#2325C2212yescomplemented
245#2325C2212yescomplemented
246#2314C2212yescomplemented
247#2309C2212yescomplemented
248C4×C22⋊Q8C2211yescharacteristic, complemented
249C4×#121C2211yescharacteristic, complemented
250C4×#120C2212yescomplemented
251C2×#390C2211yescharacteristic, complemented
252C2×#389C2211yescharacteristic, complemented
253#2290C2212yescomplemented
254C2×#386C2212yescomplemented
255C2×#382C2211yescharacteristic, complemented
256C2×#381C2212yescomplemented
257C2×#380C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2314yes—
266C23×D4C2312yes—
267C23×D4C2314yes—
268C24×C4C2311yescharacteristic
269C24×C4C2312yes—
270#553—48no—
271#550—44no—
272D42—48no—
273D42—44no—
274D42—416no—
275D42—48no—
276#534—48no—
277#534—48no—
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2314yes—
285C2×#126C2314yes—
286C2×#125C2312yes—
287#525—48no—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2312yes—
297C2×#121—48no—
298C2×#121—48no—
299C2×#121—44no—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2311yescharacteristic
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#120C2312yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4—44no—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400#401C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#391C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2314yes—
565#390C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
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#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#382C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2314yes—
675#381C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2314yes—
679#381C2314yes—
680#381C2314yes—
681#381C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2311yescharacteristic
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2312yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2311yescharacteristic
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2312yes—
719C2×#95C2312yes—
720C2×#95C2311yescharacteristic
721C2×#95C2312yes—
722C2×#95C2311yescharacteristic
723C2×#95C2312yes—
724C2×#95C2312yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C25C2414yes—
728C25C2414yes—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—82no—
732C22×Q8C2411yescharacteristic
733C22×D4—216no—
734C22×D4—28no—
735C22×D4—24no—
736C22×D4—28no—
737C22×D4—24no—
738C22×D4—42no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—44no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—48no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—48no—
754C22×D4—82no—
755C22×D4—82no—
756C22×D4—84no—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C23×C4—24no—
791C23×C4—28no—
792C23×C4—42no—
793C23×C4—42no—
794C23×C4—44no—
795C23×C4—82no—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2411yescharacteristic
801C23×C4C2412yes—
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2412yes—
806C23×C4C2411yescharacteristic
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2414yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2414yes—
813C23×C4C2414yes—
814C23×C4C2414yes—
815C23×C4C2414yes—
816C23×C4C2411yescharacteristic
817#127—28no—
818#127—44no—
819#127—44no—
820#127—42no—
821#127—44no—
822#127—42no—
823#127—48no—
824#126—48no—
825#125—44no—
826#123—48no—
827#123—48no—
828#123—48no—
829#123—48no—
830#123—48no—
831#123—48no—
832#123—84no—
833C22⋊Q8—24no—
834C22⋊Q8—44no—
835#121—28no—
836#121—24no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—28no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—44no—
858#121—44no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—44no—
863#121—48no—
864#121—44no—
865#121—44no—
866#121—48no—
867#121—48no—
868#121—44no—
869#121—48no—
870#121—82no—
871#121—84no—
872#121—84no—
873#121—82no—
874#121—84no—
875#120—28no—
876#120—48no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—48no—
888#120—48no—
889#120—84no—
890#120—84no—
891#120—84no—
892#120—84no—
893C4×Q8—42no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—48no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—48no—
911C4×D4—48no—
912C4×D4—48no—
913#117—44no—
914#117—44no—
915#117—44no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—42no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—42no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C22⋊C4—24no—
963C2×C22⋊C4—24no—
964C2×C22⋊C4—48no—
965C2×C22⋊C4—48no—
966C2×C22⋊C4—44no—
967C2×C22⋊C4—44no—
968C2×C22⋊C4—82no—
969C2×C22⋊C4—84no—
970C2×C22⋊C4—82no—
971C2×C22⋊C4—82no—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C42—42no—
1047C2×C42—42no—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104C24—22no—
1105C24—22no—
1106C24—24no—
1107C24—24no—
1108C24—24no—
1109C24—24no—
1110C24—28no—
1111C24—28no—
1112C24—41no—
1113C24—42no—
1114C24—42no—
1115C24—41no—
1116C24—41no—
1117C24—42no—
1118C24—41no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24—44no—
1130C24—44no—
1131C24H(5,𝔽2)14yes—
1132C24C2512yes—
1133C24C2514yes—
1134C24C2514yes—
1135C24C2512yes—
1136C24C2512yes—
1137C24C2512yes—
1138C24C2511yescharacteristic
1139#41—816no—
1140C2×Q8—22no—
1141C2×Q8—41no—
1142C2×Q8—41no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—416no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—41no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
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—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—816no—
1243C2×D4—816no—
1244C2×D4—816no—
1245C2×D4—832no—
1246C2×D4—816no—
1247C2×D4—832no—
1248C2×D4—832no—
1249C2×D4H(5,𝔽2)14yes—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—28no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—42no—
1307C22×C4—41no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—88no—
1312C22×C4—816no—
1313C22×C4H(5,𝔽2)14yes—
1314C22×C4H(5,𝔽2)14yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2514yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—41no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—41no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
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—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—42no—
1458C42—41no—
1459C42—41no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—28no—
1480C23—24no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—24no—
1485C23—24no—
1486C23—22no—
1487C23—24no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—24no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—24no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—44no—
1509C23—44no—
1510C23—48no—
1511C23—48no—
1512C23—48no—
1513C23—48no—
1514C23—82no—
1515C23—82no—
1516C23—84no—
1517C23—82no—
1518C23—84no—
1519C23—84no—
1520C23—82no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23—88no—
1527C23—88no—
1528C23—88no—
1529C23—88no—
1530C23—88no—
1531C23—164no—
1532C23—164no—
1533C23—164no—
1534C23—164no—
1535C23C2×H(5,𝔽2)14yes—
1536C23C2×H(5,𝔽2)14yes—
1537C23C2×H(5,𝔽2)12yes—
1538C23C2×H(5,𝔽2)12yes—
1539C23C2×H(5,𝔽2)12yes—
1540C23C2611yescharacteristic
1541Q8—44no—
1542D4—28no—
1543D4—48no—
1544D4—44no—
1545D4—416no—
1546D4—48no—
1547D4—416no—
1548D4—48no—
1549D4—416no—
1550D4—44no—
1551D4—48no—
1552D4—48no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—88no—
1557D4—88no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—164no—
1569D4—164no—
1570D4—162no—
1571D4—162no—
1572D4—164no—
1573D4—164no—
1574D4—164no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—28no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—44no—
1637C2×C4—48no—
1638C2×C4—48no—
1639C2×C4—48no—
1640C2×C4—48no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—84no—
1645C2×C4—82no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—82no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—84no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—88no—
1655C2×C4—164no—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4#58512yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—44no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—44no—
1706C22—42no—
1707C22—44no—
1708C22—44no—
1709C22—42no—
1710C22—88no—
1711C22—816no—
1712C22—1616no—
1713C22—1616no—
1714C22#354314yes—
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C22×H(5,𝔽2)11yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22H(7,𝔽2)11yescharacteristic
1721C22H(7,𝔽2)11yescharacteristic
1722C4—22no—
1723C4—22no—
1724C4—22no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—44no—
1729C4—44no—
1730C4—44no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—44no—
1736C4—42no—
1737C4—41no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4#353414yes—
1744C2—24no—
1745C2—44no—
1746C2—44no—
1747C2—82no—
1748C2—84no—
1749C2—82no—
1750C2—84no—
1751C2C2×#353411yescharacteristic
1752C2C2×#354311yescharacteristic
1753C2#6288011yescharacteristic
1754C2#6289211yescharacteristic
1755C2#6289211yescharacteristic
1756C2#6290511yescharacteristic
1757C2#6293011yescharacteristic
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. #59013C2semidirect
2. #58997C2semidirect
3. #57142C2semidirect
4. #55752C2semidirect
5. #54481C2semidirect
6. #54197C2semidirect
7. #53115C2semidirect
8. #52969C2semidirect
9. #52471C2semidirect
10. #45019C2semidirect
11. #44936C2semidirect
12. #42589C2semidirect
13. #42576C2semidirect
14. #42475C2semidirect
15. #42468C2semidirect
16. #40486C2semidirect
17. #39767C2semidirect
18. #39742C2semidirect
19. #38080C2semidirect
20. #37893C2semidirect
21. #37744C2semidirect
22. #37672C2semidirect
23. #37446C2semidirect
24. #36731C2semidirect
25. #36101C2semidirect
26. D4×#121C2semidirect
27. #35001C2semidirect
28. C2×#2420C2semidirect
29. #34570C2semidirect
30. C2×#553C22semidirect
31. C2×#550C22semidirect
32. C2×D42C22semidirect
33. C2×D42C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×#534C22semidirect
37. C2×#534C22semidirect
38. C2×#525C22semidirect
40. C22×#121C22semidirect
41. C22×#121C22semidirect
42. C22×C4×D4C22semidirect
44. #2856C22semidirect
45. #2856C22semidirect
46. #2847C22semidirect
47. #2847C22semidirect
48. #2837C22semidirect
49. #2829C22semidirect
50. #2828C22semidirect
51. #2827C22semidirect
52. #2826C22semidirect
53. #2825C22semidirect
54. #2816C22semidirect
55. #2815C22semidirect
56. #2815C22semidirect
57. #2813C22semidirect
58. #2812C22semidirect
59. #2812C22semidirect
60. #2808C22semidirect
61. #2796C22semidirect
62. #2796C22semidirect
63. #2761C22semidirect
64. #2761C22semidirect
65. #2753C22semidirect
66. #2753C22semidirect
67. #2752C22semidirect
68. #2746C22semidirect
69. #2743C22semidirect
70. #2743C22semidirect
71. #2740C22semidirect
72. #2740C22semidirect
73. #2735C22semidirect
74. #2727C22semidirect
75. #2724C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2709C22semidirect
79. #2708C22semidirect
80. #2705C22semidirect
81. #2703C22semidirect
82. #2703C22semidirect
83. #2701C22semidirect
84. #2699C22semidirect
85. #2699C22semidirect
86. #2697C22semidirect
87. #2696C22semidirect
88. #2693C22semidirect
89. #2691C22semidirect
90. #2688C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2682C22semidirect
94. #2679C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2675C22semidirect
101. #2673C22semidirect
102. #2671C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2668C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2668C22semidirect
110. #2661C22semidirect
111. #2656C22semidirect
112. #2656C22semidirect
113. #2656C22semidirect
114. #2653C22semidirect
115. #2652C22semidirect
116. #2649C22semidirect
117. #2648C22semidirect
118. #2647C22semidirect
119. #2646C22semidirect
120. #2643C22semidirect
121. #2641C22semidirect
122. #2639C22semidirect
123. #2639C22semidirect
124. #2635C22semidirect
125. #2635C22semidirect
126. #2630C22semidirect
127. #2626C22semidirect
128. #2623C22semidirect
129. #2622C22semidirect
130. #2619C22semidirect
131. #2619C22semidirect
133. #2617C22semidirect
134. #2613C22semidirect
135. #2613C22semidirect
136. #2602C22semidirect
137. #2580C22semidirect
138. #2570C22semidirect
139. #2566C22semidirect
140. #2543C22semidirect
141. #2543C22semidirect
142. #2543C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2539C22semidirect
148. #2539C22semidirect
149. #2538C22semidirect
150. #2537C22semidirect
151. #2535C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2513C22semidirect
155. #2504C22semidirect
156. #2501C22semidirect
157. #2501C22semidirect
158. #2500C22semidirect
159. #2490C22semidirect
160. #2482C22semidirect
161. #2480C22semidirect
162. #2471C22semidirect
163. #2457C22semidirect
164. #2456C22semidirect
165. #2454C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2444C22semidirect
169. #2444C22semidirect
170. #2444C22semidirect
171. #2443C22semidirect
172. #2443C22semidirect
173. #2442C22semidirect
174. #2441C22semidirect
175. #2433C22semidirect
176. #2433C22semidirect
177. #2433C22semidirect
178. #2433C22semidirect
179. #2433C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2420C22semidirect
192. #2420C22semidirect
193. #2420C22semidirect
194. #2420C22semidirect
195. #2420C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2418C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2412C22semidirect
210. #2410C22semidirect
211. #2410C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2407C22semidirect
222. #2404C22semidirect
223. #2404C22semidirect
224. #2403C22semidirect
225. #2403C22semidirect
226. #2401C22semidirect
227. #2398C22semidirect
228. #2395C22semidirect
229. #2392C22semidirect
230. C2×#397C22semidirect
231. C2×#394C22semidirect
232. #2366C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2354C22semidirect
237. #2352C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C22⋊C4C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2328C22semidirect
243. #2328C22semidirect
244. #2325C22semidirect
245. #2325C22semidirect
246. #2314C22semidirect
247. #2309C22semidirect
248. C4×C22⋊Q8C22semidirect
249. C4×#121C22semidirect
250. C4×#120C22semidirect
251. C2×#390C22semidirect
252. C2×#389C22semidirect
253. #2290C22semidirect
254. C2×#386C22semidirect
255. C2×#382C22semidirect
256. C2×#381C22semidirect
257. C2×#380C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#590132
#589972
#571422
#557522
#544812
#541972
#531152
#529692
#524712
#450192
#449362
#425892
#425762
#424752
#424682
#404862
#397672
#397422
#380802
#378932
#377442
#376722
#374462
#367312
#361012
D4×#1212
#350012
C2×#24202
#345702