Finite Group Databasebeta

← #8197081

Subgroups — #8197081

Order 512.

5894 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59412C212yesmaximal, complemented
2#59267C212yesmaximal, complemented
3#59215C212yesmaximal, complemented
4#59129C212yesmaximal, complemented
5#57509C212yesmaximal, complemented
6#57213C212yesmaximal, complemented
7#55680C214yesmaximal, complemented
8#53007C211yesmaximal, characteristic, complemented
9#52966C211yesmaximal, characteristic, complemented
10#52696C212yesmaximal, complemented
11#49959C214yesmaximal, complemented
12#47678C212yesmaximal, complemented
13#46972C212yesmaximal, complemented
14#46339C212yesmaximal, complemented
15#45471C212yesmaximal, complemented
16#45103C211yesmaximal, characteristic, complemented
17#44870C211yesmaximal, characteristic, complemented
18#43481C212yesmaximal, complemented
19#42909C212yesmaximal, complemented
20#42432C212yesmaximal, complemented
21#41304C214yesmaximal, complemented
22#40081C212yesmaximal, complemented
23#39926C212yesmaximal, complemented
24#39396C212yesmaximal, complemented
25#39334C212yesmaximal, complemented
26#37769C214yesmaximal, complemented
27#36502C212yesmaximal, complemented
28#36214C212yesmaximal, complemented
29#35190C211yesmaximal, characteristic, complemented
30#34977C211yesmaximal, characteristic, complemented
31#34935C211yesmaximal, characteristic, complemented
32C2×#550C2212yes—
33C2×#546C2212yes—
34C2×#546C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×D42C2212yes—
37C2×#538C2214yescomplemented
38C2×#537C2212yescomplemented
39C2×#535C2212yes—
40C2×#532C2211yescharacteristic, complemented
41C2×#532C2211yescharacteristic, complemented
42C2×#525C2212yescomplemented
43C2×C4×#41C2211yescharacteristic, complemented
44C22×C4×D4C2211yescharacteristic
45#2863C2212yescomplemented
46#2860C2212yescomplemented
47#2850C2212yescomplemented
48#2850C2212yescomplemented
49#2847C2214yescomplemented
50#2841C2212yescomplemented
51#2837C2214yescomplemented
52#2830C2212yescomplemented
53#2829C2214yescomplemented
54#2825C2214yescomplemented
55#2823C2212yescomplemented
56#2816C2214yescomplemented
57#2815C2212yescomplemented
58#2812C2214yescomplemented
59#2792C2212yescomplemented
60#2790C2214yescomplemented
61#2773C2214yescomplemented
62#2765C2214yescomplemented
63#2761C2214yescomplemented
64#2760C2212yescomplemented
65#2756C2214yescomplemented
66#2752C2212yes—
67#2749C2214yescomplemented
68#2748C2214yescomplemented
69#2746C2214yescomplemented
70#2741C2214yescomplemented
71#2730C2214yescomplemented
72#2730C2214yescomplemented
73#2717C2214yescomplemented
74#2709C2214yescomplemented
75#2706C2214yescomplemented
76#2705C2214yescomplemented
77#2705C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2699C2212yescomplemented
81#2691C2214yescomplemented
82#2688C2214yescomplemented
83#2686C2214yescomplemented
84#2685C2214yescomplemented
85#2680C2212yescomplemented
86#2679C2212yes—
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2674C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2671C2214yescomplemented
101#2670C2212yes—
102#2669C2214yes—
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2212yescomplemented
107#2656C2214yescomplemented
108#2651C2214yescomplemented
109#2648C2214yescomplemented
110#2636C2214yescomplemented
111#2635C2214yescomplemented
112#2635C2212yescomplemented
113#2635C2212yescomplemented
114#2622C2214yescomplemented
115#2617C2214yescomplemented
116#2616C2212yescomplemented
117#2615C2212yescomplemented
118#2610C2211yescharacteristic
119#2610C2211yescharacteristic, complemented
120#2610C2211yescharacteristic, complemented
121#2610C2211yescharacteristic, complemented
122#2603C2214yescomplemented
123#2598C2214yescomplemented
124#2598C2212yescomplemented
125#2598C2212yescomplemented
126#2595C2214yescomplemented
127#2578C2214yescomplemented
128#2570C2212yescomplemented
129#2568C2211yescharacteristic, complemented
130#2567C2211yescharacteristic, complemented
131#2564C2214yescomplemented
132#2563C2211yescharacteristic, complemented
133#2555C2212yes—
134#2555C2214yescomplemented
135#2548C2211yescharacteristic, complemented
136#2548C2211yescharacteristic, complemented
137#2544C2212yes—
138#2543C2214yescomplemented
139#2542C2211yescharacteristic, complemented
140#2541C2211yescharacteristic
141#2541C2211yescharacteristic
142#2540C2212yescomplemented
143#2538C2212yescomplemented
144#2538C2212yescomplemented
145#2537C2212yescomplemented
146#2537C2212yescomplemented
147#2537C2212yescomplemented
148#2536C2212yescomplemented
149#2535C2212yes—
150#2535C2212yes—
151#2535C2212yescomplemented
152#2535C2212yescomplemented
153#2534C2212yescomplemented
154#2534C2214yescomplemented
155#2534C2212yescomplemented
156#2531C2214yescomplemented
157#2530C2214yescomplemented
158#2518C2214yescomplemented
159#2510C2214yescomplemented
160#2510C2214yescomplemented
161#2501C2212yescomplemented
162#2500C2212yescomplemented
163#2500C2212yescomplemented
164#2499C2212yescomplemented
165#2496C2212yescomplemented
166#2494C2212yescomplemented
167#2487C2212yescomplemented
168#2486C2211yescharacteristic, complemented
169#2486C2211yescharacteristic, complemented
170#2485C2212yescomplemented
171#2476C2214yescomplemented
172#2472C2214yescomplemented
173#2471C2214yescomplemented
174#2471C2214yescomplemented
175#2468C2214yescomplemented
176#2467C2214yescomplemented
177#2467C2214yescomplemented
178#2464C2214yescomplemented
179#2456C2214yescomplemented
180#2455C2214yescomplemented
181#2437C2212yescomplemented
182#2433C2214yes—
183#2433C2212yes—
184#2433C2214yescomplemented
185#2432C2212yescomplemented
186#2431C2212yescomplemented
187#2431C2212yescomplemented
188#2429C2212yescomplemented
189#2428C2212yes—
190#2428C2212yes—
191#2428C2214yescomplemented
192#2428C2214yescomplemented
193#2428C2214yescomplemented
194#2428C2212yescomplemented
195#2427C2212yes—
196#2427C2212yescomplemented
197#2425C2214yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2423C2212yescomplemented
206#2423C2212yescomplemented
207#2422C2214yescomplemented
208#2422C2212yescomplemented
209#2420C2212yescomplemented
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2415C2212yescomplemented
216#2414C2212yes—
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2412C2214yescomplemented
220#2412C2214yescomplemented
221#2410C2214yescomplemented
222#2408C2211yescharacteristic
223#2408C2211yescharacteristic
224#2408C2212yescomplemented
225#2407C2212yes—
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2407C2212yescomplemented
230#2403C2212yes—
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233#2388C2211yescharacteristic
234#2388C2211yescharacteristic, complemented
235#2388C2211yescharacteristic, complemented
236#2388C2211yescharacteristic, complemented
237#2377C2214yescomplemented
238#2367C2212yescomplemented
239#2364C2214yescomplemented
240#2364C2214yescomplemented
241#2363C2212yes—
242#2361C2212yescomplemented
243#2358C2214yescomplemented
244#2353C2214yescomplemented
245#2352C2212yescomplemented
246#2349C2212yescomplemented
247#2339C2212yescomplemented
248D4×C22⋊C4C2214yescomplemented
249D4×C22⋊C4C2212yescomplemented
250#2335C2214yescomplemented
251#2329C2214yescomplemented
252#2328C2212yescomplemented
253#2326C2212yescomplemented
254C4×#127C2212yes—
255C4×#127C2212yescomplemented
256C4×#124C2212yescomplemented
257C4×#124C2212yescomplemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262C2×#386C2214yescomplemented
263#2285C2211yescharacteristic, complemented
264#2283C2211yescharacteristic, complemented
265#2280C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2311yescharacteristic
269C22×#41C2311yescharacteristic
270C22×#41C2311yescharacteristic
271C22×#41C2312yes—
272C23×D4C2311yescharacteristic
273C23×D4C2312yes—
274C23×D4C2314yes—
275C24×C4C2312yes—
276#550—48no—
277#546—48no—
278#546—48no—
279#546—48no—
280D42—48no—
281#538—416no—
282#537—48no—
283#535—48no—
284#532—44no—
285#532—44no—
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#127C2311yescharacteristic
293C2×#127C2314yes—
294C2×#127C2311yescharacteristic
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2311yescharacteristic
302C2×#124C2311yescharacteristic
303C2×#124C2314yes—
304#525—48no—
305C2×#123C2314yes—
306C2×#123C2312yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2312yes—
358C2×#120C2312yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C4×#41—44no—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×D4—44no—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411#401C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2311yescharacteristic
458#395C2311yescharacteristic
459#395C2311yescharacteristic
460#395C2311yescharacteristic
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2311yescharacteristic
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2311yescharacteristic
486#394C2311yescharacteristic
487#394C2311yescharacteristic
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2311yescharacteristic
504#393C2314yes—
505#393C2311yescharacteristic
506#393C2311yescharacteristic
507#393C2311yescharacteristic
508#392C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2311yescharacteristic
517#392C2311yescharacteristic
518#392C2311yescharacteristic
519#392C2311yescharacteristic
520#392C2314yes—
521#392C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2312yes—
528#392C2312yes—
529#392C2312yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2312yes—
684#383C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#381C2314yes—
691#381C2312yes—
692#381C2314yes—
693#381C2312yes—
694#381C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2312yes—
715#379C2312yes—
716#379C2314yes—
717#379C2314yes—
718#379C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2311yescharacteristic
740C4×C22⋊C4C2311yescharacteristic
741#376C2312yes—
742#376C2311yescharacteristic
743#376C2311yescharacteristic
744C2×#95C2314yes—
745C2×#95C2314yes—
746C43C2312yes—
747C25C2412yes—
748C25C2414yes—
749C2×#41—24no—
750C2×#41—28no—
751C2×#41—42no—
752C2×#41—42no—
753C2×#41—42no—
754C2×#41—44no—
755C2×#41—44no—
756C2×#41—42no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—44no—
760C2×#41—44no—
761C2×#41—44no—
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×Q8C2411yescharacteristic
765C22×Q8C2411yescharacteristic
766C22×D4—28no—
767C22×D4—28no—
768C22×D4—42no—
769C22×D4—44no—
770C22×D4—44no—
771C22×D4—48no—
772C22×D4—48no—
773C22×D4—48no—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2411yescharacteristic
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2411yescharacteristic
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2412yes—
805C22×D4C2411yescharacteristic
806C23×C4—44no—
807C23×C4—44no—
808C23×C4—44no—
809C23×C4C2411yescharacteristic
810C23×C4C2412yes—
811C23×C4C2411yescharacteristic
812C23×C4C2412yes—
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2411yescharacteristic
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2414yes—
819C23×C4C2412yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C4⋊Q8—42no—
830C4⋊Q8—42no—
831#127—28no—
832#127—42no—
833#127—42no—
834#127—44no—
835#127—44no—
836#127—48no—
837#127—48no—
838#126—48no—
839#126—48no—
840#124—28no—
841#124—28no—
842#124—28no—
843#124—28no—
844#124—42no—
845#124—42no—
846#124—48no—
847#123—48no—
848#123—48no—
849#123—48no—
850#123—48no—
851#123—48no—
852#123—48no—
853#123—44no—
854#123—44no—
855C22⋊Q8—216no—
856C22⋊Q8—48no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—28no—
863#121—28no—
864#121—28no—
865#121—28no—
866#121—48no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—48no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—48no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—48no—
891#121—48no—
892#121—48no—
893#120—48no—
894#120—44no—
895#120—44no—
896#120—48no—
897#120—48no—
898#120—48no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—48no—
934C4×D4—48no—
935#117—42no—
936#117—42no—
937#117—42no—
938#117—44no—
939#117—44no—
940#117—44no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C22⋊C4—44no—
983C2×C22⋊C4—48no—
984C2×C22⋊C4—48no—
985C2×C22⋊C4—48no—
986C2×C22⋊C4—48no—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128C24—28no—
1129C24—24no—
1130C24—28no—
1131C24—42no—
1132C24—44no—
1133C24—42no—
1134C24—44no—
1135C24—44no—
1136C24—44no—
1137C24—44no—
1138C24—44no—
1139C24—44no—
1140C24C2512yes—
1141C24C2514yes—
1142C24C2512yes—
1143C24C2511yescharacteristic
1144C24C2511yescharacteristic
1145C24C2514yes—
1146C24C2511yescharacteristic
1147#41—416no—
1148#41—88no—
1149#41—88no—
1150#41—816no—
1151#41—816no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—41no—
1156C2×Q8—41no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—41no—
1160C2×Q8—41no—
1161C2×Q8H(5,𝔽2)14yes—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—24no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—28no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—28no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—42no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—41no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
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—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—416no—
1254C2×D4—816no—
1255C2×D4—832no—
1256C2×D4H(5,𝔽2)18yes—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—28no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—42no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—816no—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
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—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—42no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—42no—
1467C42—42no—
1468C42H(5,𝔽2)14yes—
1469C23—24no—
1470C23—24no—
1471C23—21no—
1472C23—22no—
1473C23—21no—
1474C23—24no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—24no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—24no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—22no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—24no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—24no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—48no—
1511C23—416no—
1512C23—84no—
1513C23—88no—
1514C23—88no—
1515C23—88no—
1516C23—88no—
1517C23—84no—
1518C23—88no—
1519C23—88no—
1520C23—164no—
1521C23—164no—
1522C23C2×H(5,𝔽2)18yes—
1523C23#58512yes—
1524C23C2611yescharacteristic
1525Q8—44no—
1526Q8—48no—
1527Q8—82no—
1528Q8—82no—
1529D4—216no—
1530D4—416no—
1531D4—48no—
1532D4—44no—
1533D4—44no—
1534D4—44no—
1535D4—48no—
1536D4—48no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—88no—
1545D4—84no—
1546D4—88no—
1547D4—88no—
1548D4—88no—
1549D4—88no—
1550D4—84no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—82no—
1555D4—82no—
1556D4—88no—
1557D4—164no—
1558D4—164no—
1559D4—164no—
1560D4—164no—
1561C2×C4—28no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—82no—
1627C2×C4—82no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—88no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—164no—
1635C2×C4—164no—
1636C2×C4—164no—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)14yes—
1644C2×C4#58514yes—
1645C22—28no—
1646C22—28no—
1647C22—24no—
1648C22—28no—
1649C22—22no—
1650C22—41no—
1651C22—44no—
1652C22—42no—
1653C22—41no—
1654C22—44no—
1655C22—44no—
1656C22—44no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—44no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—44no—
1687C22—42no—
1688C22—816no—
1689C22—1616no—
1690C22C22×H(5,𝔽2)12yes—
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C2×#58512yes—
1694C22C2×#58511yescharacteristic
1695C4—22no—
1696C4—24no—
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—22no—
1701C4—41no—
1702C4—42no—
1703C4—41no—
1704C4—42no—
1705C4—41no—
1706C4—44no—
1707C4—42no—
1708C4—44no—
1709C4—44no—
1710C4—44no—
1711C4—42no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—44no—
1716C4—42no—
1717C4—44no—
1718C4#353714yes—
1719C2—42no—
1720C2—48no—
1721C2—82no—
1722C2—81no—
1723C2—81no—
1724C2—84no—
1725C2—82no—
1726C2C2×#353711yescharacteristic
1727C2#6275911yescharacteristic
1728C2#6281811yescharacteristic
1729C2#6301412yes—
1730C2#6301712yes—
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. #59412C2semidirect
2. #59267C2semidirect
3. #59215C2semidirect
4. #59129C2semidirect
5. #57509C2semidirect
6. #57213C2semidirect
7. #55680C2semidirect
8. #53007C2semidirect
9. #52966C2semidirect
10. #52696C2semidirect
11. #49959C2semidirect
12. #47678C2semidirect
13. #46972C2semidirect
14. #46339C2semidirect
15. #45471C2semidirect
16. #45103C2semidirect
17. #44870C2semidirect
18. #43481C2semidirect
19. #42909C2semidirect
20. #42432C2semidirect
21. #41304C2semidirect
22. #40081C2semidirect
23. #39926C2semidirect
24. #39396C2semidirect
25. #39334C2semidirect
26. #37769C2semidirect
27. #36502C2semidirect
28. #36214C2semidirect
29. #35190C2semidirect
30. #34977C2semidirect
31. #34935C2semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
37. C2×#538C22semidirect
38. C2×#537C22semidirect
40. C2×#532C22semidirect
41. C2×#532C22semidirect
42. C2×#525C22semidirect
43. C2×C4×#41C22semidirect
45. #2863C22semidirect
46. #2860C22semidirect
47. #2850C22semidirect
48. #2850C22semidirect
49. #2847C22semidirect
50. #2841C22semidirect
51. #2837C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2825C22semidirect
55. #2823C22semidirect
56. #2816C22semidirect
57. #2815C22semidirect
58. #2812C22semidirect
59. #2792C22semidirect
60. #2790C22semidirect
61. #2773C22semidirect
62. #2765C22semidirect
63. #2761C22semidirect
64. #2760C22semidirect
65. #2756C22semidirect
67. #2749C22semidirect
68. #2748C22semidirect
69. #2746C22semidirect
70. #2741C22semidirect
71. #2730C22semidirect
72. #2730C22semidirect
73. #2717C22semidirect
74. #2709C22semidirect
75. #2706C22semidirect
76. #2705C22semidirect
77. #2705C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2699C22semidirect
81. #2691C22semidirect
82. #2688C22semidirect
83. #2686C22semidirect
84. #2685C22semidirect
85. #2680C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2674C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
100. #2671C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2656C22semidirect
108. #2651C22semidirect
109. #2648C22semidirect
110. #2636C22semidirect
111. #2635C22semidirect
112. #2635C22semidirect
113. #2635C22semidirect
114. #2622C22semidirect
115. #2617C22semidirect
116. #2616C22semidirect
117. #2615C22semidirect
119. #2610C22semidirect
120. #2610C22semidirect
121. #2610C22semidirect
122. #2603C22semidirect
123. #2598C22semidirect
124. #2598C22semidirect
125. #2598C22semidirect
126. #2595C22semidirect
127. #2578C22semidirect
128. #2570C22semidirect
129. #2568C22semidirect
130. #2567C22semidirect
131. #2564C22semidirect
132. #2563C22semidirect
134. #2555C22semidirect
135. #2548C22semidirect
136. #2548C22semidirect
138. #2543C22semidirect
139. #2542C22semidirect
142. #2540C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2537C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
148. #2536C22semidirect
151. #2535C22semidirect
152. #2535C22semidirect
153. #2534C22semidirect
154. #2534C22semidirect
155. #2534C22semidirect
156. #2531C22semidirect
157. #2530C22semidirect
158. #2518C22semidirect
159. #2510C22semidirect
160. #2510C22semidirect
161. #2501C22semidirect
162. #2500C22semidirect
163. #2500C22semidirect
164. #2499C22semidirect
165. #2496C22semidirect
166. #2494C22semidirect
167. #2487C22semidirect
168. #2486C22semidirect
169. #2486C22semidirect
170. #2485C22semidirect
171. #2476C22semidirect
172. #2472C22semidirect
173. #2471C22semidirect
174. #2471C22semidirect
175. #2468C22semidirect
176. #2467C22semidirect
177. #2467C22semidirect
178. #2464C22semidirect
179. #2456C22semidirect
180. #2455C22semidirect
181. #2437C22semidirect
184. #2433C22semidirect
185. #2432C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
188. #2429C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
196. #2427C22semidirect
197. #2425C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2420C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2412C22semidirect
220. #2412C22semidirect
221. #2410C22semidirect
224. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
234. #2388C22semidirect
235. #2388C22semidirect
236. #2388C22semidirect
237. #2377C22semidirect
238. #2367C22semidirect
239. #2364C22semidirect
240. #2364C22semidirect
242. #2361C22semidirect
243. #2358C22semidirect
244. #2353C22semidirect
245. #2352C22semidirect
246. #2349C22semidirect
247. #2339C22semidirect
248. D4×C22⋊C4C22semidirect
249. D4×C22⋊C4C22semidirect
250. #2335C22semidirect
251. #2329C22semidirect
252. #2328C22semidirect
253. #2326C22semidirect
255. C4×#127C22semidirect
256. C4×#124C22semidirect
257. C4×#124C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. C2×#386C22semidirect
263. #2285C22semidirect
264. #2283C22semidirect
265. #2280C22semidirect
266. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#594122
#592672
#592152
#591292
#575092
#572132
#556802
#530072
#529662
#526962
#499592
#476782
#469722
#463392
#454712
#451032
#448702
#434812
#429092
#424322
#413042
#400812
#399262
#393962
#393342
#377692
#365022
#362142
#351902
#349772
#349352