Finite Group Databasebeta

← #8701332

Subgroups — #8701332

Order 512.

6153 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59843C211yesmaximal, characteristic, complemented
2#59802C212yesmaximal, complemented
3#59765C212yesmaximal, complemented
4#58997C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#56394C214yesmaximal, complemented
7#56381C214yesmaximal, complemented
8#56379C214yesmaximal, complemented
9#52301C211yesmaximal, characteristic, complemented
10#52031C212yesmaximal, complemented
11#51060C212yesmaximal, complemented
12#48555C214yesmaximal, complemented
13#48083C214yesmaximal, complemented
14#45598C212yesmaximal, complemented
15#45478C211yesmaximal, characteristic, complemented
16#45319C212yesmaximal, complemented
17#45140C212yesmaximal, complemented
18#45057C212yesmaximal, complemented
19#42829C212yesmaximal, complemented
20#42598C212yesmaximal, complemented
21#42552C212yesmaximal, complemented
22#39953C212yesmaximal, complemented
23#39171C211yesmaximal, characteristic, complemented
24#39121C211yesmaximal, characteristic, complemented
25#38916C212yesmaximal, complemented
26#36840C212yesmaximal, complemented
27#36775C214yesmaximal, complemented
28#36428C211yesmaximal, characteristic, complemented
29#36212C212yesmaximal, complemented
30C23×#41C2211yescharacteristic, complemented
31C2×#560C2212yescomplemented
32C2×#559C2211yescharacteristic, complemented
33C2×#559C2212yescomplemented
34C2×#551C2212yescomplemented
35C2×D4×Q8C2211yescharacteristic, complemented
36C2×#548C2212yescomplemented
37C2×#546C2212yescomplemented
38C2×#546C2212yescomplemented
39C2×D42C2212yes—
40C2×D42C2212yes—
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×#121C2212yescomplemented
43#2858C2211yescharacteristic, complemented
44#2849C2214yescomplemented
45#2848C2211yescharacteristic, complemented
46#2848C2211yescharacteristic, complemented
47#2848C2212yescomplemented
48#2847C2212yescomplemented
49#2831C2214yescomplemented
50#2827C2214yescomplemented
51#2827C2214yescomplemented
52#2824C2214yescomplemented
53#2812C2212yescomplemented
54#2804C2212yescomplemented
55#2804C2214yescomplemented
56#2804C2211yescharacteristic, complemented
57#2796C2214yescomplemented
58#2788C2214yescomplemented
59#2782C2212yescomplemented
60#2782C2212yescomplemented
61#2782C2212yescomplemented
62#2778C2214yescomplemented
63#2778C2214yescomplemented
64#2778C2214yescomplemented
65#2765C2214yescomplemented
66#2760C2214yescomplemented
67#2750C2214yescomplemented
68#2748C2214yescomplemented
69#2746C2214yescomplemented
70#2746C2214yescomplemented
71#2743C2214yescomplemented
72#2729C2214yescomplemented
73#2728C2212yescomplemented
74#2728C2214yescomplemented
75#2712C2214yescomplemented
76#2710C2214yescomplemented
77#2710C2214yescomplemented
78#2709C2212yescomplemented
79#2708C2214yescomplemented
80#2708C2214yescomplemented
81#2708C2214yescomplemented
82#2708C2214yescomplemented
83#2708C2214yescomplemented
84#2706C2214yescomplemented
85#2703C2214yescomplemented
86#2702C2214yescomplemented
87#2697C2212yescomplemented
88#2696C2214yescomplemented
89#2696C2214yescomplemented
90#2695C2214yescomplemented
91#2693C2214yescomplemented
92#2693C2212yescomplemented
93#2691C2214yescomplemented
94#2691C2214yescomplemented
95#2688C2214yescomplemented
96#2688C2214yescomplemented
97#2687C2214yescomplemented
98#2685C2214yescomplemented
99#2684C2211yescharacteristic
100#2684C2214yescomplemented
101#2684C2212yescomplemented
102#2684C2214yescomplemented
103#2684C2211yescharacteristic, complemented
104#2684C2212yescomplemented
105#2681C2214yescomplemented
106#2679C2211yescharacteristic
107#2678C2214yescomplemented
108#2678C2214yescomplemented
109#2676C2214yescomplemented
110#2676C2214yescomplemented
111#2675C2212yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2670C2214yescomplemented
116#2669C2212yes—
117#2668C2214yescomplemented
118#2661C2214yescomplemented
119#2653C2214yescomplemented
120#2653C2214yescomplemented
121#2646C2214yescomplemented
122#2645C2212yescomplemented
123#2643C2214yescomplemented
124#2640C2212yescomplemented
125#2636C2214yescomplemented
126#2635C2214yescomplemented
127#2627C2212yescomplemented
128#2622C2214yescomplemented
129#2609C2212yescomplemented
130#2603C2214yescomplemented
131#2592C2212yescomplemented
132#2582C2212yescomplemented
133#2580C2212yescomplemented
134#2568C2211yescharacteristic, complemented
135#2563C2212yescomplemented
136#2561C2212yescomplemented
137#2559C2214yescomplemented
138#2557C2214yescomplemented
139#2544C2212yescomplemented
140#2541C2211yescharacteristic
141#2540C2212yescomplemented
142#2538C2212yescomplemented
143#2537C2212yescomplemented
144#2537C2212yescomplemented
145#2536C2212yescomplemented
146#2534C2212yes—
147#2527C2214yescomplemented
148#2505C2214yescomplemented
149#2503C2211yescharacteristic, complemented
150#2502C2212yescomplemented
151#2496C2212yescomplemented
152#2496C2212yescomplemented
153#2494C2212yescomplemented
154#2487C2212yescomplemented
155#2486C2211yescharacteristic, complemented
156#2480C2214yescomplemented
157#2479C2214yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2464C2214yescomplemented
161#2459C2214yescomplemented
162#2457C2214yescomplemented
163#2457C2214yescomplemented
164#2450C2214yescomplemented
165#2450C2214yescomplemented
166#2444C2214yescomplemented
167#2443C2214yescomplemented
168#2437C2214yescomplemented
169#2436C2212yescomplemented
170#2436C2212yescomplemented
171#2435C2212yescomplemented
172#2435C2212yescomplemented
173#2435C2211yescharacteristic, complemented
174#2433C2212yescomplemented
175#2432C2212yescomplemented
176#2432C2214yescomplemented
177#2431C2212yescomplemented
178#2431C2212yescomplemented
179#2430C2214yescomplemented
180#2430C2214yescomplemented
181#2429C2212yescomplemented
182#2428C2212yescomplemented
183#2428C2212yescomplemented
184#2427C2212yescomplemented
185#2427C2212yescomplemented
186#2427C2212yescomplemented
187#2427C2212yescomplemented
188#2426C2212yescomplemented
189#2426C2212yescomplemented
190#2425C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2423C2212yescomplemented
194#2422C2212yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2421C2212yescomplemented
198#2420C2212yescomplemented
199#2418C2214yescomplemented
200#2418C2214yescomplemented
201#2417C2212yescomplemented
202#2416C2212yes—
203#2416C2214yescomplemented
204#2416C2212yescomplemented
205#2414C2214yescomplemented
206#2412C2214yescomplemented
207#2411C2214yescomplemented
208#2410C2214yes—
209#2410C2214yescomplemented
210#2410C2214yescomplemented
211#2410C2214yescomplemented
212#2409C2212yescomplemented
213#2408C2211yescharacteristic
214#2408C2212yescomplemented
215#2407C2212yes—
216#2407C2212yes—
217#2407C2212yescomplemented
218#2407C2214yescomplemented
219#2405C2214yescomplemented
220#2405C2214yescomplemented
221#2405C2214yescomplemented
222#2404C2214yescomplemented
223#2404C2214yescomplemented
224#2403C2214yescomplemented
225#2403C2212yescomplemented
226#2398C2212yescomplemented
227#2398C2212yescomplemented
228#2398C2212yescomplemented
229#2377C2214yescomplemented
230#2361C2212yescomplemented
231#2361C2212yescomplemented
232#2360C2212yescomplemented
233#2359C2214yescomplemented
234#2341C2212yescomplemented
235Q8×C22⋊C4C2211yescharacteristic, complemented
236Q8×C22⋊C4C2211yescharacteristic, complemented
237#2339C2212yescomplemented
238#2339C2212yescomplemented
239D4×C22⋊C4C2212yescomplemented
240D4×C22⋊C4C2212yescomplemented
241D4×C22⋊C4C2214yescomplemented
242#2328C2212yescomplemented
243#2328C2212yescomplemented
244#2326C2212yescomplemented
245#2326C2212yescomplemented
246#2322C2212yescomplemented
247#2321C2214yescomplemented
248#2315C2214yescomplemented
249C4×#124C2211yescharacteristic, complemented
250C4×#124C2212yescomplemented
251C4×#120C2211yescharacteristic
252C4×#120C2212yescomplemented
253C4×#120C2212yescomplemented
254C4×#120C2211yescharacteristic, complemented
255C4×#120C2212yescomplemented
256#2295C2211yescharacteristic, complemented
257#2293C2212yescomplemented
258C2×#386C2214yescomplemented
259C22×#41—48no—
260C22×#41—44no—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2314yes—
264C23×Q8C2311yescharacteristic
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2314yes—
270C23×D4C2314yes—
271C24×C4C2311yescharacteristic
272C24×C4C2312yes—
273C24×C4C2311yescharacteristic
274#560—48no—
275#559—48no—
276#559—44no—
277#551—48no—
278D4×Q8—44no—
279#548—48no—
280#546—48no—
281#546—48no—
282D42—48no—
283D42—48no—
284C2×C4⋊Q8C2312yes—
285C2×C4⋊Q8C2311yescharacteristic
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2311yescharacteristic
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×C22⋊Q8—44no—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×#121—48no—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#120C2312yes—
342C2×#120C2311yescharacteristic
343C2×#120C2311yescharacteristic
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2312yes—
352C2×#120C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×#117C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384#401C2314yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#393C2312yes—
487#393C2312yes—
488#393C2312yes—
489#393C2312yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#391C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2311yescharacteristic
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2311yescharacteristic
625#385C2314yes—
626#385C2312yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2311yescharacteristic
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2311yescharacteristic
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#384C2312yes—
661#384C2312yes—
662#382C2311yescharacteristic
663#382C2312yes—
664#382C2312yes—
665#382C2312yes—
666#381C2312yes—
667#381C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2312yes—
671#381C2314yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2314yes—
685#380C2312yes—
686#380C2314yes—
687#380C2312yes—
688#380C2314yes—
689#380C2314yes—
690#379C2311yescharacteristic
691#379C2312yes—
692#379C2314yes—
693#379C2312yes—
694#379C2312yes—
695#379C2312yes—
696#379C2314yes—
697#379C2312yes—
698#379C2314yes—
699#379C2314yes—
700#379C2312yes—
701#379C2312yes—
702#379C2311yescharacteristic
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721#376C2312yes—
722#376C2312yes—
723C2×#95C2314yes—
724C2×#95C2314yes—
725C43C2311yescharacteristic
726C25C2412yes—
727C25C2411yescharacteristic
728C25C2414yes—
729C25C2411yescharacteristic
730C2×#41—28no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—48no—
734C2×#41—48no—
735C2×#41—48no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—464no—
740C22×Q8—24no—
741C22×Q8—24no—
742C22×Q8—44no—
743C22×Q8—44no—
744C22×Q8C2411yescharacteristic
745C22×Q8C2411yescharacteristic
746C22×Q8C2411yescharacteristic
747C22×Q8C2411yescharacteristic
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×D4—28no—
752C22×D4—28no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—48no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2411yescharacteristic
786C23×C4—44no—
787C23×C4—44no—
788C23×C4—42no—
789C23×C4—44no—
790C23×C4—42no—
791C23×C4—48no—
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2411yescharacteristic
808C23×C4C2414yes—
809C23×C4C2411yescharacteristic
810C23×C4C2412yes—
811C4⋊Q8—44no—
812C4⋊Q8—42no—
813#127—28no—
814#127—28no—
815#127—42no—
816#126—48no—
817#126—48no—
818#124—28no—
819#124—28no—
820#124—24no—
821#124—44no—
822#124—44no—
823#124—44no—
824#124—44no—
825#124—48no—
826#124—48no—
827#123—28no—
828#123—48no—
829#123—48no—
830#123—48no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836C22⋊Q8—28no—
837C22⋊Q8—48no—
838C22⋊Q8—48no—
839C22⋊Q8—48no—
840C22⋊Q8—44no—
841C22⋊Q8—44no—
842C22⋊Q8—44no—
843C22⋊Q8—42no—
844C22⋊Q8—42no—
845C22⋊Q8—44no—
846C22⋊Q8—44no—
847#121—28no—
848#121—28no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—44no—
860#121—44no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—48no—
865#121—48no—
866#120—24no—
867#120—28no—
868#120—24no—
869#120—48no—
870#120—48no—
871#120—44no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—48no—
876#120—44no—
877#120—48no—
878C4×Q8—24no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×D4—28no—
884C4×D4—48no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896C4×D4—48no—
897C4×D4—48no—
898C4×D4—48no—
899#117—48no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—42no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—48no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4—48no—
946C2×C22⋊C4—48no—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086C24—24no—
1087C24—22no—
1088C24—28no—
1089C24—24no—
1090C24—28no—
1091C24—28no—
1092C24—22no—
1093C24—41no—
1094C24—42no—
1095C24—41no—
1096C24—42no—
1097C24—42no—
1098C24—44no—
1099C24—44no—
1100C24—42no—
1101C24—41no—
1102C24—42no—
1103C24—41no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24C2514yes—
1109C24C2512yes—
1110C24C2511yescharacteristic
1111C24C2514yes—
1112C24C2511yescharacteristic
1113C24C2512yes—
1114#41—432no—
1115#41—432no—
1116#41—464no—
1117C2×Q8—24no—
1118C2×Q8—24no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—24no—
1122C2×Q8—22no—
1123C2×Q8—22no—
1124C2×Q8—24no—
1125C2×Q8—44no—
1126C2×Q8—41no—
1127C2×Q8—42no—
1128C2×Q8—44no—
1129C2×Q8—42no—
1130C2×Q8—41no—
1131C2×Q8—42no—
1132C2×Q8—416no—
1133C2×Q8—88no—
1134C2×Q8H(5,𝔽2)14yes—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—41no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—41no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—416no—
1198C2×D4—432no—
1199C2×D4—816no—
1200C2×D4—832no—
1201C2×D4—832no—
1202C2×D4H(5,𝔽2)18yes—
1203C2×D4H(5,𝔽2)14yes—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—28no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—41no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—41no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—432no—
1256C22×C4—416no—
1257C22×C4—88no—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—41no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—22no—
1328C22⋊C4—24no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—41no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—41no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C42—22no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—22no—
1402C42—41no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42—42no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—21no—
1411C23—21no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—22no—
1422C23—22no—
1423C23—21no—
1424C23—24no—
1425C23—21no—
1426C23—22no—
1427C23—24no—
1428C23—22no—
1429C23—24no—
1430C23—24no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—22no—
1441C23—48no—
1442C23—48no—
1443C23—416no—
1444C23—44no—
1445C23—416no—
1446C23—44no—
1447C23—84no—
1448C23—82no—
1449C23—84no—
1450C23—82no—
1451C23—84no—
1452C23—88no—
1453C23—88no—
1454C23—88no—
1455C23—88no—
1456C23—88no—
1457C23—82no—
1458C23—84no—
1459C23—82no—
1460C23—84no—
1461C23—164no—
1462C23—164no—
1463C23C2×H(5,𝔽2)12yes—
1464C23C2×H(5,𝔽2)18yes—
1465C23C2×H(5,𝔽2)12yes—
1466C23#58514yes—
1467C23C2611yescharacteristic
1468Q8—28no—
1469Q8—48no—
1470Q8—44no—
1471Q8—44no—
1472Q8—82no—
1473Q8—84no—
1474Q8—84no—
1475D4—216no—
1476D4—44no—
1477D4—416no—
1478D4—48no—
1479D4—416no—
1480D4—416no—
1481D4—48no—
1482D4—416no—
1483D4—48no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—88no—
1488D4—84no—
1489D4—88no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—164no—
1495D4—162no—
1496D4—164no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—416no—
1555C2×C4—48no—
1556C2×C4—416no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—48no—
1562C2×C4—44no—
1563C2×C4—84no—
1564C2×C4—88no—
1565C2×C4—84no—
1566C2×C4—82no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—88no—
1570C2×C4—164no—
1571C2×C4—164no—
1572C2×C4—164no—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)14yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)14yes—
1577C22—28no—
1578C22—24no—
1579C22—24no—
1580C22—24no—
1581C22—24no—
1582C22—22no—
1583C22—22no—
1584C22—24no—
1585C22—28no—
1586C22—28no—
1587C22—42no—
1588C22—44no—
1589C22—41no—
1590C22—44no—
1591C22—41no—
1592C22—44no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—44no—
1602C22—44no—
1603C22—42no—
1604C22—42no—
1605C22—44no—
1606C22—42no—
1607C22—44no—
1608C22—42no—
1609C22—42no—
1610C22—44no—
1611C22—44no—
1612C22—42no—
1613C22—42no—
1614C22—44no—
1615C22—88no—
1616C22—816no—
1617C22—88no—
1618C22—1616no—
1619C22C22×H(5,𝔽2)11yescharacteristic
1620C22C22×H(5,𝔽2)12yes—
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C2×#58512yes—
1623C222−1+611yescharacteristic
1624C4—22no—
1625C4—24no—
1626C4—42no—
1627C4—44no—
1628C4—42no—
1629C4—44no—
1630C4—44no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4#353214yes—
1647C2—42no—
1648C2—42no—
1649C2—48no—
1650C2—44no—
1651C2—82no—
1652C2—84no—
1653C2C2×#353211yescharacteristic
1654C2#6289511yescharacteristic
1655C2#6289812yes—
1656C2#6301212yes—
1657C2#6302011yescharacteristic
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. #59843C2semidirect
2. #59802C2semidirect
3. #59765C2semidirect
4. #58997C2semidirect
5. #58996C2semidirect
6. #56394C2semidirect
7. #56381C2semidirect
8. #56379C2semidirect
9. #52301C2semidirect
10. #52031C2semidirect
11. #51060C2semidirect
12. #48555C2semidirect
13. #48083C2semidirect
14. #45598C2semidirect
15. #45478C2semidirect
16. #45319C2semidirect
17. #45140C2semidirect
18. #45057C2semidirect
19. #42829C2semidirect
20. #42598C2semidirect
21. #42552C2semidirect
22. #39953C2semidirect
23. #39171C2semidirect
24. #39121C2semidirect
25. #38916C2semidirect
26. #36840C2semidirect
27. #36775C2semidirect
28. #36428C2semidirect
29. #36212C2semidirect
30. C23×#41C22semidirect
31. C2×#560C22semidirect
32. C2×#559C22semidirect
33. C2×#559C22semidirect
34. C2×#551C22semidirect
35. C2×D4×Q8C22semidirect
36. C2×#548C22semidirect
37. C2×#546C22semidirect
38. C2×#546C22semidirect
41. C22×C22⋊Q8C22semidirect
42. C22×#121C22semidirect
43. #2858C22semidirect
44. #2849C22semidirect
45. #2848C22semidirect
46. #2848C22semidirect
47. #2848C22semidirect
48. #2847C22semidirect
49. #2831C22semidirect
50. #2827C22semidirect
51. #2827C22semidirect
52. #2824C22semidirect
53. #2812C22semidirect
54. #2804C22semidirect
55. #2804C22semidirect
56. #2804C22semidirect
57. #2796C22semidirect
58. #2788C22semidirect
59. #2782C22semidirect
60. #2782C22semidirect
61. #2782C22semidirect
62. #2778C22semidirect
63. #2778C22semidirect
64. #2778C22semidirect
65. #2765C22semidirect
66. #2760C22semidirect
67. #2750C22semidirect
68. #2748C22semidirect
69. #2746C22semidirect
70. #2746C22semidirect
71. #2743C22semidirect
72. #2729C22semidirect
73. #2728C22semidirect
74. #2728C22semidirect
75. #2712C22semidirect
76. #2710C22semidirect
77. #2710C22semidirect
78. #2709C22semidirect
79. #2708C22semidirect
80. #2708C22semidirect
81. #2708C22semidirect
82. #2708C22semidirect
83. #2708C22semidirect
84. #2706C22semidirect
85. #2703C22semidirect
86. #2702C22semidirect
87. #2697C22semidirect
88. #2696C22semidirect
89. #2696C22semidirect
90. #2695C22semidirect
91. #2693C22semidirect
92. #2693C22semidirect
93. #2691C22semidirect
94. #2691C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
97. #2687C22semidirect
98. #2685C22semidirect
100. #2684C22semidirect
101. #2684C22semidirect
102. #2684C22semidirect
103. #2684C22semidirect
104. #2684C22semidirect
105. #2681C22semidirect
107. #2678C22semidirect
108. #2678C22semidirect
109. #2676C22semidirect
110. #2676C22semidirect
111. #2675C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
115. #2670C22semidirect
117. #2668C22semidirect
118. #2661C22semidirect
119. #2653C22semidirect
120. #2653C22semidirect
121. #2646C22semidirect
122. #2645C22semidirect
123. #2643C22semidirect
124. #2640C22semidirect
125. #2636C22semidirect
126. #2635C22semidirect
127. #2627C22semidirect
128. #2622C22semidirect
129. #2609C22semidirect
130. #2603C22semidirect
131. #2592C22semidirect
132. #2582C22semidirect
133. #2580C22semidirect
134. #2568C22semidirect
135. #2563C22semidirect
136. #2561C22semidirect
137. #2559C22semidirect
138. #2557C22semidirect
139. #2544C22semidirect
141. #2540C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
145. #2536C22semidirect
147. #2527C22semidirect
148. #2505C22semidirect
149. #2503C22semidirect
150. #2502C22semidirect
151. #2496C22semidirect
152. #2496C22semidirect
153. #2494C22semidirect
154. #2487C22semidirect
155. #2486C22semidirect
156. #2480C22semidirect
157. #2479C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2464C22semidirect
161. #2459C22semidirect
162. #2457C22semidirect
163. #2457C22semidirect
164. #2450C22semidirect
165. #2450C22semidirect
166. #2444C22semidirect
167. #2443C22semidirect
168. #2437C22semidirect
169. #2436C22semidirect
170. #2436C22semidirect
171. #2435C22semidirect
172. #2435C22semidirect
173. #2435C22semidirect
174. #2433C22semidirect
175. #2432C22semidirect
176. #2432C22semidirect
177. #2431C22semidirect
178. #2431C22semidirect
179. #2430C22semidirect
180. #2430C22semidirect
181. #2429C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2425C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2423C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2421C22semidirect
198. #2420C22semidirect
199. #2418C22semidirect
200. #2418C22semidirect
201. #2417C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2414C22semidirect
206. #2412C22semidirect
207. #2411C22semidirect
209. #2410C22semidirect
210. #2410C22semidirect
211. #2410C22semidirect
212. #2409C22semidirect
214. #2408C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
219. #2405C22semidirect
220. #2405C22semidirect
221. #2405C22semidirect
222. #2404C22semidirect
223. #2404C22semidirect
224. #2403C22semidirect
225. #2403C22semidirect
226. #2398C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2377C22semidirect
230. #2361C22semidirect
231. #2361C22semidirect
232. #2360C22semidirect
233. #2359C22semidirect
234. #2341C22semidirect
235. Q8×C22⋊C4C22semidirect
236. Q8×C22⋊C4C22semidirect
237. #2339C22semidirect
238. #2339C22semidirect
239. D4×C22⋊C4C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2328C22semidirect
243. #2328C22semidirect
244. #2326C22semidirect
245. #2326C22semidirect
246. #2322C22semidirect
247. #2321C22semidirect
248. #2315C22semidirect
249. C4×#124C22semidirect
250. C4×#124C22semidirect
252. C4×#120C22semidirect
253. C4×#120C22semidirect
254. C4×#120C22semidirect
255. C4×#120C22semidirect
256. #2295C22semidirect
257. #2293C22semidirect
258. C2×#386C22semidirect

Maximal subgroups

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

subgroupindex
#598432
#598022
#597652
#589972
#589962
#563942
#563812
#563792
#523012
#520312
#510602
#485552
#480832
#455982
#454782
#453192
#451402
#450572
#428292
#425982
#425522
#399532
#391712
#391212
#389162
#368402
#367752
#364282
#362122