Finite Group Databasebeta

← #8157406

Subgroups — #8157406

Order 512.

6406 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58997C212yesmaximal, complemented
2#58996C212yesmaximal, complemented
3#57178C214yesmaximal, complemented
4#55057C214yesmaximal, complemented
5#53989C214yesmaximal, complemented
6#53625C214yesmaximal, complemented
7#53096C212yesmaximal, complemented
8#53000C212yesmaximal, complemented
9#52471C214yesmaximal, complemented
10#45069C212yesmaximal, complemented
11#44877C212yesmaximal, complemented
12#42565C212yesmaximal, complemented
13#42535C212yesmaximal, complemented
14#42483C212yesmaximal, complemented
15#42422C212yesmaximal, complemented
16#40486C214yesmaximal, complemented
17#39768C211yesmaximal, characteristic, complemented
18#39743C211yesmaximal, characteristic, complemented
19#38123C212yesmaximal, complemented
20#37744C212yesmaximal, complemented
21#37677C212yesmaximal, complemented
22#37672C212yesmaximal, complemented
23#37439C212yesmaximal, complemented
24#36727C212yesmaximal, complemented
25#36101C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35001C211yesmaximal, characteristic, complemented
28C2×#2427C211yesmaximal, characteristic, complemented
29#34570C211yesmaximal, characteristic, complemented
30C2×#550C2211yescharacteristic, complemented
31C2×#548C2212yescomplemented
32C2×#546C2212yescomplemented
33C2×D42C2214yescomplemented
34C2×D42C2212yescomplemented
35C2×D42C2211yescharacteristic, complemented
36C2×D42C2212yescomplemented
37C2×#535C2212yescomplemented
38C2×#534C2212yescomplemented
39C2×#534C2212yescomplemented
40C22×#124C2211yescharacteristic, complemented
41C2×#525C2212yescomplemented
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×#121C2211yescharacteristic
44C22×#121C2212yescomplemented
45C22×#121C2212yescomplemented
46C22×C4×D4C2211yescharacteristic, complemented
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic, complemented
49#2856C2212yescomplemented
50#2847C2212yescomplemented
51#2847C2212yescomplemented
52#2837C2214yescomplemented
53#2829C2214yescomplemented
54#2828C2214yescomplemented
55#2827C2214yescomplemented
56#2826C2214yescomplemented
57#2825C2214yescomplemented
58#2815C2214yescomplemented
59#2813C2214yescomplemented
60#2813C2214yescomplemented
61#2813C2214yescomplemented
62#2812C2214yescomplemented
63#2812C2214yescomplemented
64#2808C2212yescomplemented
65#2804C2212yescomplemented
66#2803C2214yescomplemented
67#2800C2214yescomplemented
68#2796C2214yescomplemented
69#2780C2214yescomplemented
70#2752C2214yescomplemented
71#2751C2214yescomplemented
72#2748C2214yescomplemented
73#2748C2214yescomplemented
74#2746C2214yescomplemented
75#2741C2214yescomplemented
76#2741C2214yescomplemented
77#2735C2214yescomplemented
78#2733C2212yescomplemented
79#2732C2212yescomplemented
80#2730C2214yescomplemented
81#2709C2214yescomplemented
82#2708C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2701C2214yescomplemented
87#2701C2214yescomplemented
88#2697C2214yescomplemented
89#2696C2214yescomplemented
90#2693C2214yescomplemented
91#2688C2214yescomplemented
92#2681C2214yescomplemented
93#2679C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2675C2214yescomplemented
101#2673C2214yescomplemented
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2668C2214yescomplemented
111#2668C2214yescomplemented
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2661C2214yescomplemented
115#2657C2212yescomplemented
116#2656C2212yescomplemented
117#2656C2212yescomplemented
118#2656C2212yescomplemented
119#2653C2212yescomplemented
120#2652C2212yescomplemented
121#2649C2212yescomplemented
122#2648C2212yescomplemented
123#2646C2211yescharacteristic, complemented
124#2644C2212yescomplemented
125#2643C2212yescomplemented
126#2639C2211yescharacteristic, complemented
127#2639C2212yescomplemented
128#2630C2214yescomplemented
129#2626C2211yescharacteristic, complemented
130#2626C2214yescomplemented
131#2624C2214yescomplemented
132#2624C2212yescomplemented
133#2622C2212yescomplemented
134#2620C2212yescomplemented
135#2617C2211yescharacteristic
136#2617C2214yescomplemented
137#2617C2214yescomplemented
138#2615C2214yescomplemented
139#2613C2214yescomplemented
140#2602C2214yescomplemented
141#2592C2212yescomplemented
142#2548C2212yescomplemented
143#2544C2212yescomplemented
144#2544C2212yescomplemented
145#2543C2214yescomplemented
146#2543C2214yescomplemented
147#2541C2211yescharacteristic, complemented
148#2541C2211yescharacteristic, complemented
149#2541C2212yescomplemented
150#2540C2212yescomplemented
151#2539C2214yescomplemented
152#2539C2214yescomplemented
153#2538C2211yescharacteristic, complemented
154#2537C2211yescharacteristic, complemented
155#2511C2212yescomplemented
156#2507C2212yescomplemented
157#2501C2212yescomplemented
158#2501C2212yescomplemented
159#2497C2212yescomplemented
160#2487C2214yescomplemented
161#2472C2214yescomplemented
162#2471C2214yescomplemented
163#2457C2214yescomplemented
164#2456C2214yescomplemented
165#2448C2212yescomplemented
166#2447C2212yescomplemented
167#2445C2212yescomplemented
168#2445C2212yescomplemented
169#2444C2214yescomplemented
170#2444C2214yescomplemented
171#2443C2214yescomplemented
172#2443C2214yescomplemented
173#2443C2214yescomplemented
174#2437C2214yescomplemented
175#2436C2212yescomplemented
176#2435C2212yescomplemented
177#2435C2212yescomplemented
178#2433C2212yescomplemented
179#2433C2212yescomplemented
180#2433C2212yescomplemented
181#2433C2212yescomplemented
182#2431C2212yescomplemented
183#2431C2212yescomplemented
184#2428C2212yes—
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2212yescomplemented
188#2427C2212yescomplemented
189#2427C2212yescomplemented
190#2427C2212yescomplemented
191#2427C2214yescomplemented
192#2427C2212yescomplemented
193#2427C2212yescomplemented
194#2427C2214yescomplemented
195#2426C2212yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2423C2212yescomplemented
204#2418C2214yescomplemented
205#2417C2212yescomplemented
206#2416C2214yescomplemented
207#2416C2214yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2414C2212yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2408C2212yes—
222#2408C2212yescomplemented
223#2408C2214yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2404C2214yescomplemented
228#2403C2214yescomplemented
229#2403C2214yescomplemented
230#2401C2212yescomplemented
231#2398C2212yescomplemented
232#2395C2212yescomplemented
233#2392C2212yescomplemented
234C2×#397C2212yescomplemented
235C2×#394C2212yescomplemented
236#2366C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2361C2212yescomplemented
240#2360C2212yescomplemented
241#2354C2211yescharacteristic, complemented
242D4×C4⋊C4C2211yescharacteristic, complemented
243D4×C22⋊C4C2214yescomplemented
244D4×C22⋊C4C2212yescomplemented
245#2326C2212yescomplemented
246#2325C2212yescomplemented
247#2325C2212yescomplemented
248#2324C2212yescomplemented
249#2319C2212yescomplemented
250C4×C22⋊Q8C2211yescharacteristic, complemented
251C4×#121C2211yescharacteristic, complemented
252C4×#120C2212yescomplemented
253C2×#391C2211yescharacteristic, complemented
254C2×#389C2211yescharacteristic, complemented
255#2290C2212yescomplemented
256C2×#386C2212yescomplemented
257C2×#380C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2314yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C23×D4C2314yes—
267C23×D4C2312yes—
268C23×D4C2314yes—
269C23×D4C2312yes—
270C24×C4C2311yescharacteristic
271C24×C4C2312yes—
272#550—44no—
273#548—48no—
274#546—48no—
275D42—44no—
276D42—48no—
277D42—416no—
278D42—48no—
279#535—48no—
280#534—48no—
281#534—48no—
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284C2×#127C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2314yes—
289C2×#124—44no—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2312yes—
297#525—48no—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×C22⋊Q8—44no—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121—48no—
314C2×#121—48no—
315C2×#121—44no—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2311yescharacteristic
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#120C2312yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4—44no—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2314yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415#401C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#393C2314yes—
518#393C2312yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#392C2314yes—
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#392C2314yes—
537#392C2314yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
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#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#381C2314yes—
684#381C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2311yescharacteristic
688#380C2311yescharacteristic
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#379C2312yes—
701#379C2314yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705#379C2314yes—
706#379C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723#376C2312yes—
724C2×#95C2312yes—
725C2×#95C2311yescharacteristic
726C2×#95C2312yes—
727C2×#95C2311yescharacteristic
728C2×#95C2312yes—
729C25C2412yes—
730C25C2411yescharacteristic
731C25C2414yes—
732C25C2414yes—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—82no—
739C22×Q8—24no—
740C22×Q8—42no—
741C22×Q8—42no—
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×Q8C2412yes—
745C22×D4—216no—
746C22×D4—28no—
747C22×D4—24no—
748C22×D4—28no—
749C22×D4—24no—
750C22×D4—42no—
751C22×D4—44no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—44no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—48no—
766C22×D4—82no—
767C22×D4—82no—
768C22×D4—84no—
769C22×D4C2414yes—
770C22×D4C2411yescharacteristic
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2411yescharacteristic
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C23×C4—24no—
803C23×C4—28no—
804C23×C4—44no—
805C23×C4—42no—
806C23×C4—42no—
807C23×C4—82no—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2412yes—
812C23×C4C2412yes—
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2414yes—
824C23×C4C2412yes—
825C23×C4C2414yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829#127—28no—
830#127—44no—
831#127—42no—
832#127—44no—
833#127—42no—
834#127—44no—
835#127—48no—
836#124—28no—
837#124—44no—
838#124—44no—
839#124—44no—
840#124—44no—
841#124—48no—
842#124—48no—
843#123—48no—
844#123—48no—
845#123—48no—
846#123—48no—
847#123—48no—
848#123—48no—
849#123—84no—
850C22⋊Q8—24no—
851C22⋊Q8—28no—
852C22⋊Q8—48no—
853C22⋊Q8—48no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857#121—28no—
858#121—24no—
859#121—28no—
860#121—28no—
861#121—28no—
862#121—28no—
863#121—28no—
864#121—48no—
865#121—48no—
866#121—44no—
867#121—48no—
868#121—44no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—48no—
874#121—48no—
875#121—48no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—48no—
885#121—48no—
886#121—48no—
887#121—48no—
888#121—44no—
889#121—48no—
890#121—44no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—84no—
895#121—82no—
896#121—82no—
897#120—28no—
898#120—48no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—48no—
906#120—48no—
907#120—48no—
908#120—48no—
909#120—48no—
910#120—48no—
911#120—48no—
912#120—48no—
913#120—48no—
914#120—84no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—48no—
933C4×D4—48no—
934C4×D4—48no—
935#117—44no—
936#117—44no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—42no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—82no—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C22⋊C4—24no—
984C2×C22⋊C4—24no—
985C2×C22⋊C4—44no—
986C2×C22⋊C4—48no—
987C2×C22⋊C4—48no—
988C2×C22⋊C4—44no—
989C2×C22⋊C4—48no—
990C2×C22⋊C4—44no—
991C2×C22⋊C4—44no—
992C2×C22⋊C4—44no—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C42—42no—
1068C2×C42—42no—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123C24—22no—
1124C24—22no—
1125C24—24no—
1126C24—24no—
1127C24—24no—
1128C24—24no—
1129C24—28no—
1130C24—28no—
1131C24—41no—
1132C24—42no—
1133C24—41no—
1134C24—42no—
1135C24—41no—
1136C24—41no—
1137C24—42no—
1138C24—44no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24—44no—
1148C24—44no—
1149C24—44no—
1150C24H(5,𝔽2)14yes—
1151C24C2512yes—
1152C24C2514yes—
1153C24C2514yes—
1154C24C2512yes—
1155C24C2512yes—
1156C24C2512yes—
1157C24C2511yescharacteristic
1158#41—816no—
1159#41—816no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—41no—
1166C2×Q8—41no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—88no—
1170C2×D4—24no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—416no—
1207C2×D4—42no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—41no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
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—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—816no—
1270C2×D4—816no—
1271C2×D4—816no—
1272C2×D4—832no—
1273C2×D4—816no—
1274C2×D4—832no—
1275C2×D4—832no—
1276C2×D4H(5,𝔽2)14yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—28no—
1301C22×C4—24no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—88no—
1339C22×C4—816no—
1340C22×C4H(5,𝔽2)14yes—
1341C22×C4H(5,𝔽2)14yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—28no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—41no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—41no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—42no—
1403C4⋊C4H(5,𝔽2)14yes—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
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—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—41no—
1485C42—41no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—28no—
1507C23—24no—
1508C23—22no—
1509C23—24no—
1510C23—24no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—24no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—24no—
1535C23—44no—
1536C23—44no—
1537C23—48no—
1538C23—48no—
1539C23—48no—
1540C23—48no—
1541C23—82no—
1542C23—84no—
1543C23—82no—
1544C23—84no—
1545C23—82no—
1546C23—84no—
1547C23—82no—
1548C23—88no—
1549C23—88no—
1550C23—88no—
1551C23—88no—
1552C23—88no—
1553C23—88no—
1554C23—88no—
1555C23—88no—
1556C23—88no—
1557C23—88no—
1558C23—164no—
1559C23—164no—
1560C23—164no—
1561C23—164no—
1562C23C2×H(5,𝔽2)14yes—
1563C23C2×H(5,𝔽2)14yes—
1564C23C2×H(5,𝔽2)12yes—
1565C23C2×H(5,𝔽2)12yes—
1566C23C2×H(5,𝔽2)12yes—
1567C23C2611yescharacteristic
1568Q8—44no—
1569Q8—48no—
1570Q8—84no—
1571D4—28no—
1572D4—48no—
1573D4—44no—
1574D4—416no—
1575D4—48no—
1576D4—416no—
1577D4—48no—
1578D4—416no—
1579D4—44no—
1580D4—48no—
1581D4—48no—
1582D4—84no—
1583D4—88no—
1584D4—84no—
1585D4—84no—
1586D4—88no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—88no—
1595D4—88no—
1596D4—88no—
1597D4—88no—
1598D4—164no—
1599D4—164no—
1600D4—162no—
1601D4—162no—
1602D4—164no—
1603D4—164no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—28no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—48no—
1668C2×C4—48no—
1669C2×C4—48no—
1670C2×C4—84no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4—88no—
1674C2×C4—82no—
1675C2×C4—82no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—88no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4—88no—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)14yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—24no—
1698C22—24no—
1699C22—24no—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—44no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—42no—
1720C22—44no—
1721C22—44no—
1722C22—42no—
1723C22—42no—
1724C22—44no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22—44no—
1735C22—44no—
1736C22—44no—
1737C22—42no—
1738C22—42no—
1739C22—88no—
1740C22—816no—
1741C22—1616no—
1742C22—1616no—
1743C22#354314yes—
1744C22C22×H(5,𝔽2)11yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C22×H(5,𝔽2)11yescharacteristic
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22H(7,𝔽2)11yescharacteristic
1750C222−1+611yescharacteristic
1751C4—22no—
1752C4—22no—
1753C4—24no—
1754C4—22no—
1755C4—42no—
1756C4—42no—
1757C4—44no—
1758C4—42no—
1759C4—44no—
1760C4—44no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—44no—
1765C4—42no—
1766C4—42no—
1767C4—41no—
1768C4—41no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4#353714yes—
1773C2—24no—
1774C2—44no—
1775C2—44no—
1776C2—82no—
1777C2—84no—
1778C2—82no—
1779C2—84no—
1780C2C2×#353711yescharacteristic
1781C2C2×#354311yescharacteristic
1782C2#6287811yescharacteristic
1783C2#6289211yescharacteristic
1784C2#6289211yescharacteristic
1785C2#6289511yescharacteristic
1786C2#6291411yescharacteristic
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. #58997C2semidirect
2. #58996C2semidirect
3. #57178C2semidirect
4. #55057C2semidirect
5. #53989C2semidirect
6. #53625C2semidirect
7. #53096C2semidirect
8. #53000C2semidirect
9. #52471C2semidirect
10. #45069C2semidirect
11. #44877C2semidirect
12. #42565C2semidirect
13. #42535C2semidirect
14. #42483C2semidirect
15. #42422C2semidirect
16. #40486C2semidirect
17. #39768C2semidirect
18. #39743C2semidirect
19. #38123C2semidirect
20. #37744C2semidirect
21. #37677C2semidirect
22. #37672C2semidirect
23. #37439C2semidirect
24. #36727C2semidirect
25. #36101C2semidirect
26. D4×#121C2semidirect
27. #35001C2semidirect
28. C2×#2427C2semidirect
29. #34570C2semidirect
30. C2×#550C22semidirect
31. C2×#548C22semidirect
32. C2×#546C22semidirect
33. C2×D42C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×#535C22semidirect
38. C2×#534C22semidirect
39. C2×#534C22semidirect
40. C22×#124C22semidirect
41. C2×#525C22semidirect
42. C22×C22⋊Q8C22semidirect
44. C22×#121C22semidirect
45. C22×#121C22semidirect
46. C22×C4×D4C22semidirect
48. #2856C22semidirect
49. #2856C22semidirect
50. #2847C22semidirect
51. #2847C22semidirect
52. #2837C22semidirect
53. #2829C22semidirect
54. #2828C22semidirect
55. #2827C22semidirect
56. #2826C22semidirect
57. #2825C22semidirect
58. #2815C22semidirect
59. #2813C22semidirect
60. #2813C22semidirect
61. #2813C22semidirect
62. #2812C22semidirect
63. #2812C22semidirect
64. #2808C22semidirect
65. #2804C22semidirect
66. #2803C22semidirect
67. #2800C22semidirect
68. #2796C22semidirect
69. #2780C22semidirect
70. #2752C22semidirect
71. #2751C22semidirect
72. #2748C22semidirect
73. #2748C22semidirect
74. #2746C22semidirect
75. #2741C22semidirect
76. #2741C22semidirect
77. #2735C22semidirect
78. #2733C22semidirect
79. #2732C22semidirect
80. #2730C22semidirect
81. #2709C22semidirect
82. #2708C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2701C22semidirect
87. #2701C22semidirect
88. #2697C22semidirect
89. #2696C22semidirect
90. #2693C22semidirect
91. #2688C22semidirect
92. #2681C22semidirect
93. #2679C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2675C22semidirect
101. #2673C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2668C22semidirect
111. #2668C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2661C22semidirect
115. #2657C22semidirect
116. #2656C22semidirect
117. #2656C22semidirect
118. #2656C22semidirect
119. #2653C22semidirect
120. #2652C22semidirect
121. #2649C22semidirect
122. #2648C22semidirect
123. #2646C22semidirect
124. #2644C22semidirect
125. #2643C22semidirect
126. #2639C22semidirect
127. #2639C22semidirect
128. #2630C22semidirect
129. #2626C22semidirect
130. #2626C22semidirect
131. #2624C22semidirect
132. #2624C22semidirect
133. #2622C22semidirect
134. #2620C22semidirect
136. #2617C22semidirect
137. #2617C22semidirect
138. #2615C22semidirect
139. #2613C22semidirect
140. #2602C22semidirect
141. #2592C22semidirect
142. #2548C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
145. #2543C22semidirect
146. #2543C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2540C22semidirect
151. #2539C22semidirect
152. #2539C22semidirect
153. #2538C22semidirect
154. #2537C22semidirect
155. #2511C22semidirect
156. #2507C22semidirect
157. #2501C22semidirect
158. #2501C22semidirect
159. #2497C22semidirect
160. #2487C22semidirect
161. #2472C22semidirect
162. #2471C22semidirect
163. #2457C22semidirect
164. #2456C22semidirect
165. #2448C22semidirect
166. #2447C22semidirect
167. #2445C22semidirect
168. #2445C22semidirect
169. #2444C22semidirect
170. #2444C22semidirect
171. #2443C22semidirect
172. #2443C22semidirect
173. #2443C22semidirect
174. #2437C22semidirect
175. #2436C22semidirect
176. #2435C22semidirect
177. #2435C22semidirect
178. #2433C22semidirect
179. #2433C22semidirect
180. #2433C22semidirect
181. #2433C22semidirect
182. #2431C22semidirect
183. #2431C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2427C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
195. #2426C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2423C22semidirect
204. #2418C22semidirect
205. #2417C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2414C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2404C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2401C22semidirect
231. #2398C22semidirect
232. #2395C22semidirect
233. #2392C22semidirect
234. C2×#397C22semidirect
235. C2×#394C22semidirect
236. #2366C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2360C22semidirect
241. #2354C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2326C22semidirect
246. #2325C22semidirect
247. #2325C22semidirect
248. #2324C22semidirect
249. #2319C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#121C22semidirect
252. C4×#120C22semidirect
253. C2×#391C22semidirect
254. C2×#389C22semidirect
255. #2290C22semidirect
256. C2×#386C22semidirect
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
#589972
#589962
#571782
#550572
#539892
#536252
#530962
#530002
#524712
#450692
#448772
#425652
#425352
#424832
#424222
#404862
#397682
#397432
#381232
#377442
#376772
#376722
#374392
#367272
#361012
D4×#1212
#350012
C2×#24272
#345702