Finite Group Databasebeta

← #8383479

Subgroups — #8383479

Order 512.

5471 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59129C212yesmaximal, complemented
2#58935C214yesmaximal, complemented
3#55054C214yesmaximal, complemented
4#53568C214yesmaximal, complemented
5#53450C214yesmaximal, complemented
6#53128C212yesmaximal, complemented
7#50808C214yesmaximal, complemented
8#48696C214yesmaximal, complemented
9#45608C212yesmaximal, complemented
10#45387C211yesmaximal, characteristic, complemented
11#45299C211yesmaximal, characteristic, complemented
12#45070C211yesmaximal, characteristic, complemented
13#44932C211yesmaximal, characteristic, complemented
14#44892C212yesmaximal, complemented
15#42892C212yesmaximal, complemented
16#42880C211yesmaximal, characteristic, complemented
17#42880C211yesmaximal, characteristic, complemented
18#42435C212yesmaximal, complemented
19#41145C214yesmaximal, complemented
20#40723C214yesmaximal, complemented
21#40053C212yesmaximal, complemented
22#39889C212yesmaximal, complemented
23#39361C211yesmaximal, characteristic, complemented
24#39186C211yesmaximal, characteristic, complemented
25#37319C211yesmaximal, characteristic, complemented
26#36536C211yesmaximal, characteristic, complemented
27#36128C211yesmaximal, characteristic, complemented
28#36029C211yesmaximal, characteristic, complemented
29#35728C211yesmaximal, characteristic, complemented
30#35622C211yesmaximal, characteristic, complemented
31#34597C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#550C2212yes—
35C2×#550C2211yescharacteristic, complemented
36C2×#547C2212yescomplemented
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#541C2211yescharacteristic, complemented
41C2×#535C2212yes—
42C2×#532C2212yescomplemented
43C2×#520C2211yescharacteristic
44#2867C2211yescharacteristic
45#2864C2211yescharacteristic, complemented
46#2856C2212yescomplemented
47#2855C2212yescomplemented
48#2829C2214yescomplemented
49#2829C2214yescomplemented
50#2828C2214yescomplemented
51#2827C2214yescomplemented
52#2826C2214yescomplemented
53#2818C2212yes—
54#2818C2212yescomplemented
55#2815C2214yescomplemented
56#2812C2214yescomplemented
57#2803C2214yescomplemented
58#2802C2214yescomplemented
59#2800C2214yes—
60#2797C2214yescomplemented
61#2780C2214yescomplemented
62#2761C2214yescomplemented
63#2757C2214yescomplemented
64#2756C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2749C2214yescomplemented
68#2714C2214yescomplemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2714C2214yescomplemented
72#2711C2214yescomplemented
73#2711C2214yescomplemented
74#2709C2214yescomplemented
75#2709C2214yescomplemented
76#2708C2214yescomplemented
77#2708C2214yescomplemented
78#2701C2214yescomplemented
79#2701C2214yescomplemented
80#2699C2214yescomplemented
81#2699C2214yescomplemented
82#2699C2214yescomplemented
83#2697C2214yescomplemented
84#2695C2214yescomplemented
85#2691C2214yescomplemented
86#2691C2214yescomplemented
87#2688C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2688C2214yescomplemented
91#2682C2214yescomplemented
92#2682C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2675C2214yescomplemented
96#2673C2214yes—
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2671C2214yes—
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2669C2214yes—
105#2669C2214yes—
106#2669C2214yes—
107#2669C2214yescomplemented
108#2669C2214yescomplemented
109#2667C2212yescomplemented
110#2661C2212yes—
111#2661C2214yescomplemented
112#2654C2212yescomplemented
113#2651C2212yescomplemented
114#2649C2212yescomplemented
115#2648C2212yes—
116#2648C2214yescomplemented
117#2648C2214yescomplemented
118#2641C2212yes—
119#2641C2212yescomplemented
120#2635C2212yescomplemented
121#2633C2212yescomplemented
122#2633C2212yescomplemented
123#2630C2214yescomplemented
124#2630C2212yescomplemented
125#2625C2212yescomplemented
126#2622C2214yescomplemented
127#2619C2211yescharacteristic
128#2619C2212yes—
129#2619C2212yescomplemented
130#2619C2211yescharacteristic, complemented
131#2618C2212yes—
132#2617C2214yescomplemented
133#2603C2214yescomplemented
134#2603C2212yescomplemented
135#2603C2212yescomplemented
136#2602C2214yescomplemented
137#2600C2214yescomplemented
138#2597C2214yescomplemented
139#2579C2214yescomplemented
140#2578C2214yescomplemented
141#2578C2214yescomplemented
142#2577C2214yescomplemented
143#2566C2211yescharacteristic
144#2565C2211yescharacteristic, complemented
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic, complemented
148#2547C2211yescharacteristic
149#2546C2211yescharacteristic, complemented
150#2545C2212yescomplemented
151#2544C2212yes—
152#2543C2212yes—
153#2541C2211yescharacteristic
154#2541C2214yescomplemented
155#2541C2212yescomplemented
156#2540C2212yescomplemented
157#2540C2212yescomplemented
158#2537C2212yes—
159#2536C2211yescharacteristic
160#2536C2211yescharacteristic
161#2536C2211yescharacteristic, complemented
162#2535C2211yescharacteristic
163#2535C2212yescomplemented
164#2535C2212yescomplemented
165#2529C2214yescomplemented
166#2526C2214yescomplemented
167#2525C2214yescomplemented
168#2513C2212yescomplemented
169#2512C2212yescomplemented
170#2503C2211yescharacteristic, complemented
171#2502C2211yescharacteristic, complemented
172#2497C2212yescomplemented
173#2495C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2475C2214yescomplemented
177#2473C2214yescomplemented
178#2468C2214yescomplemented
179#2466C2214yescomplemented
180#2464C2214yescomplemented
181#2456C2214yescomplemented
182#2455C2214yescomplemented
183#2447C2212yescomplemented
184#2447C2212yescomplemented
185#2445C2212yescomplemented
186#2445C2212yescomplemented
187#2444C2214yescomplemented
188#2443C2214yescomplemented
189#2443C2214yescomplemented
190#2443C2214yescomplemented
191#2433C2214yes—
192#2433C2212yes—
193#2432C2211yescharacteristic
194#2432C2211yescharacteristic
195#2432C2212yescomplemented
196#2432C2212yescomplemented
197#2431C2212yes—
198#2431C2212yescomplemented
199#2431C2212yescomplemented
200#2429C2212yescomplemented
201#2428C2214yes—
202#2428C2212yes—
203#2428C2214yescomplemented
204#2428C2214yescomplemented
205#2428C2214yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2428C2214yescomplemented
209#2427C2212yes—
210#2426C2212yes—
211#2424C2214yes—
212#2424C2214yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2418C2214yes—
217#2418C2214yescomplemented
218#2416C2212yes—
219#2416C2214yescomplemented
220#2416C2212yescomplemented
221#2416C2214yescomplemented
222#2412C2214yescomplemented
223#2411C2214yes—
224#2410C2214yes—
225#2408C2212yes—
226#2408C2212yes—
227#2407C2212yes—
228#2407C2212yescomplemented
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2407C2212yescomplemented
232#2402C2211yescharacteristic, complemented
233#2397C2211yescharacteristic
234#2395C2212yescomplemented
235#2392C2211yescharacteristic
236#2392C2212yescomplemented
237#2392C2211yescharacteristic, complemented
238#2392C2212yescomplemented
239C2×#394C2212yes—
240#2377C2214yescomplemented
241#2367C2212yescomplemented
242#2366C2212yes—
243#2366C2214yescomplemented
244#2358C2214yescomplemented
245#2356C2211yescharacteristic, complemented
246#2356C2211yescharacteristic, complemented
247#2353C2214yescomplemented
248#2351C2211yescharacteristic, complemented
249#2349C2211yescharacteristic
250#2341C2212yescomplemented
251D4×C22⋊C4C2212yes—
252#2328C2211yescharacteristic
253#2328C2211yescharacteristic, complemented
254#2327C2211yescharacteristic, complemented
255#2326C2211yescharacteristic
256#2323C2212yescomplemented
257#2322C2214yescomplemented
258#2321C2214yescomplemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×#124C2211yescharacteristic
261C4×#123C2212yescomplemented
262C4×#121C2212yes—
263C4×#121C2212yescomplemented
264#2298C2211yescharacteristic, complemented
265#2293C2211yescharacteristic
266C42×D4C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×D4C2312yes—
272C23×D4C2312yes—
273#550—44no—
274#550—44no—
275#550—44no—
276#550—48no—
277#547—48no—
278#546—48no—
279#546—48no—
280D42—44no—
281#541—44no—
282#535—48no—
283#532—48no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2312yes—
294C2×#127C2314yes—
295C2×#127C2312yes—
296C2×#127C2314yes—
297C2×#127C2314yes—
298C2×#126C2312yes—
299C2×#126C2312yes—
300C2×#126C2314yes—
301C2×#125C2311yescharacteristic
302C2×#125C2312yes—
303C2×#125C2312yes—
304C2×#124C2311yescharacteristic
305C2×#124C2312yes—
306C2×#124C2311yescharacteristic
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2312yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359#520—44no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C42C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2311yescharacteristic
419#398C2312yes—
420#398C2311yescharacteristic
421#398C2312yes—
422#398C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2311yescharacteristic
437#397C2311yescharacteristic
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2311yescharacteristic
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2311yescharacteristic
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#392C2311yescharacteristic
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2311yescharacteristic
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2312yes—
532#392C2314yes—
533#392C2312yes—
534#392C2314yes—
535#392C2312yes—
536#392C2312yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
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#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
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#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#383C2312yes—
694#383C2312yes—
695#383C2314yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2312yes—
705#381C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2314yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#379C2314yes—
717#379C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2311yescharacteristic
740C4×C22⋊C4C2312yes—
741#376C2311yescharacteristic
742#376C2312yes—
743#376C2312yes—
744C2×#95C2312yes—
745C43C2311yescharacteristic
746C25C2414yes—
747C2×#41—24no—
748C2×#41—28no—
749C2×#41—24no—
750C2×#41—42no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—44no—
759C22×Q8C2411yescharacteristic
760C22×Q8C2411yescharacteristic
761C22×Q8C2411yescharacteristic
762C22×D4—28no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—84no—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2411yescharacteristic
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2411yescharacteristic
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2414yes—
809C23×C4C2414yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C23×C4C2414yes—
813C4⋊Q8—24no—
814C4⋊Q8—24no—
815C4⋊Q8—42no—
816#127—28no—
817#127—24no—
818#127—24no—
819#127—48no—
820#127—44no—
821#127—44no—
822#127—44no—
823#127—44no—
824#127—44no—
825#127—48no—
826#127—84no—
827#126—44no—
828#126—44no—
829#126—84no—
830#125—42no—
831#125—44no—
832#125—44no—
833#124—28no—
834#124—24no—
835#124—24no—
836#124—44no—
837#124—44no—
838#123—48no—
839#123—44no—
840#123—48no—
841#123—48no—
842#123—48no—
843#123—48no—
844#123—84no—
845C22⋊Q8—28no—
846C22⋊Q8—42no—
847C22⋊Q8—42no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850#121—28no—
851#121—44no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—44no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—44no—
871#121—48no—
872#121—84no—
873#121—84no—
874#121—84no—
875#121—84no—
876#121—84no—
877#121—84no—
878#121—84no—
879#121—84no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—84no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—44no—
897C4×D4—42no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—48no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—48no—
913C4×D4—48no—
914C4×D4—84no—
915#117—24no—
916#117—44no—
917#117—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—42no—
920C2×C4⋊C4—48no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4—48no—
969C2×C22⋊C4—48no—
970C2×C22⋊C4—84no—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C42—44no—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2414yes—
1065#95C2411yescharacteristic
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110C24—28no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24C2512yes—
1118C24C2514yes—
1119C24C2511yescharacteristic
1120C24C2512yes—
1121C24C2514yes—
1122C24C2512yes—
1123#41—416no—
1124#41—816no—
1125#41—816no—
1126#41—816no—
1127C2×Q8—22no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8H(5,𝔽2)14yes—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
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—816no—
1223C2×D4—816no—
1224C2×D4H(5,𝔽2)14yes—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
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—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
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—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—42no—
1428C42H(5,𝔽2)14yes—
1429C23—22no—
1430C23—22no—
1431C23—24no—
1432C23—24no—
1433C23—21no—
1434C23—22no—
1435C23—24no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—24no—
1453C23—22no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—24no—
1462C23—24no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—88no—
1467C23—88no—
1468C23—88no—
1469C23—88no—
1470C23—88no—
1471C23—164no—
1472C23—164no—
1473C23C2×H(5,𝔽2)14yes—
1474C23C2611yescharacteristic
1475Q8—28no—
1476Q8—44no—
1477Q8—44no—
1478D4—28no—
1479D4—48no—
1480D4—44no—
1481D4—44no—
1482D4—48no—
1483D4—48no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—88no—
1488D4—88no—
1489D4—84no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—88no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—88no—
1500D4—88no—
1501D4—88no—
1502D4—164no—
1503D4—164no—
1504D4—164no—
1505D4—164no—
1506D4—164no—
1507D4—164no—
1508D4—164no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—88no—
1580C2×C4—162no—
1581C2×C4—162no—
1582C2×C4—164no—
1583C2×C4—164no—
1584C2×C4C2×H(5,𝔽2)12yes—
1585C2×C4C2×H(5,𝔽2)12yes—
1586C2×C4C2×H(5,𝔽2)14yes—
1587C2×C4C2×H(5,𝔽2)12yes—
1588C2×C4C2×H(5,𝔽2)12yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4#58514yes—
1591C22—24no—
1592C22—28no—
1593C22—42no—
1594C22—42no—
1595C22—44no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—44no—
1600C22—44no—
1601C22—42no—
1602C22—44no—
1603C22—44no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—44no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—44no—
1616C22—44no—
1617C22—44no—
1618C22—42no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—44no—
1628C22—42no—
1629C22—1616no—
1630C22C22×H(5,𝔽2)11yescharacteristic
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C22×H(5,𝔽2)11yescharacteristic
1633C22C2×#58512yes—
1634C22H(7,𝔽2)12yes—
1635C4—24no—
1636C4—22no—
1637C4—22no—
1638C4—24no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4#353714yes—
1660C2—44no—
1661C2—81no—
1662C2—82no—
1663C2—84no—
1664C2—84no—
1665C2—82no—
1666C2C2×#353711yescharacteristic
1667C2#6283611yescharacteristic
1668C2#6287611yescharacteristic
1669C2#6289912yes—
1670C2#6292012yes—
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. #59129C2semidirect
2. #58935C2semidirect
3. #55054C2semidirect
4. #53568C2semidirect
5. #53450C2semidirect
6. #53128C2semidirect
7. #50808C2semidirect
8. #48696C2semidirect
9. #45608C2semidirect
10. #45387C2semidirect
11. #45299C2semidirect
12. #45070C2semidirect
13. #44932C2semidirect
14. #44892C2semidirect
15. #42892C2semidirect
16. #42880C2semidirect
17. #42880C2semidirect
18. #42435C2semidirect
19. #41145C2semidirect
20. #40723C2semidirect
21. #40053C2semidirect
22. #39889C2semidirect
23. #39361C2semidirect
24. #39186C2semidirect
25. #37319C2semidirect
26. #36536C2semidirect
27. #36128C2semidirect
28. #36029C2semidirect
29. #35728C2semidirect
30. #35622C2semidirect
31. #34597C2semidirect
35. C2×#550C22semidirect
36. C2×#547C22semidirect
40. C2×#541C22semidirect
42. C2×#532C22semidirect
45. #2864C22semidirect
46. #2856C22semidirect
47. #2855C22semidirect
48. #2829C22semidirect
49. #2829C22semidirect
50. #2828C22semidirect
51. #2827C22semidirect
52. #2826C22semidirect
54. #2818C22semidirect
55. #2815C22semidirect
56. #2812C22semidirect
57. #2803C22semidirect
58. #2802C22semidirect
60. #2797C22semidirect
61. #2780C22semidirect
62. #2761C22semidirect
63. #2757C22semidirect
64. #2756C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2749C22semidirect
68. #2714C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2711C22semidirect
73. #2711C22semidirect
74. #2709C22semidirect
75. #2709C22semidirect
76. #2708C22semidirect
77. #2708C22semidirect
78. #2701C22semidirect
79. #2701C22semidirect
80. #2699C22semidirect
81. #2699C22semidirect
82. #2699C22semidirect
83. #2697C22semidirect
84. #2695C22semidirect
85. #2691C22semidirect
86. #2691C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
90. #2688C22semidirect
91. #2682C22semidirect
92. #2682C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2675C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
107. #2669C22semidirect
108. #2669C22semidirect
109. #2667C22semidirect
111. #2661C22semidirect
112. #2654C22semidirect
113. #2651C22semidirect
114. #2649C22semidirect
116. #2648C22semidirect
117. #2648C22semidirect
119. #2641C22semidirect
120. #2635C22semidirect
121. #2633C22semidirect
122. #2633C22semidirect
123. #2630C22semidirect
124. #2630C22semidirect
125. #2625C22semidirect
126. #2622C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
132. #2617C22semidirect
133. #2603C22semidirect
134. #2603C22semidirect
135. #2603C22semidirect
136. #2602C22semidirect
137. #2600C22semidirect
138. #2597C22semidirect
139. #2579C22semidirect
140. #2578C22semidirect
141. #2578C22semidirect
142. #2577C22semidirect
144. #2565C22semidirect
147. #2548C22semidirect
149. #2546C22semidirect
150. #2545C22semidirect
154. #2541C22semidirect
155. #2541C22semidirect
156. #2540C22semidirect
157. #2540C22semidirect
161. #2536C22semidirect
163. #2535C22semidirect
164. #2535C22semidirect
165. #2529C22semidirect
166. #2526C22semidirect
167. #2525C22semidirect
168. #2513C22semidirect
169. #2512C22semidirect
170. #2503C22semidirect
171. #2502C22semidirect
172. #2497C22semidirect
173. #2495C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2475C22semidirect
177. #2473C22semidirect
178. #2468C22semidirect
179. #2466C22semidirect
180. #2464C22semidirect
181. #2456C22semidirect
182. #2455C22semidirect
183. #2447C22semidirect
184. #2447C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2444C22semidirect
188. #2443C22semidirect
189. #2443C22semidirect
190. #2443C22semidirect
195. #2432C22semidirect
196. #2432C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
200. #2429C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
212. #2424C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
217. #2418C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2416C22semidirect
222. #2412C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
231. #2407C22semidirect
232. #2402C22semidirect
234. #2395C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
240. #2377C22semidirect
241. #2367C22semidirect
243. #2366C22semidirect
244. #2358C22semidirect
245. #2356C22semidirect
246. #2356C22semidirect
247. #2353C22semidirect
248. #2351C22semidirect
250. #2341C22semidirect
253. #2328C22semidirect
254. #2327C22semidirect
256. #2323C22semidirect
257. #2322C22semidirect
258. #2321C22semidirect
259. C4×C4⋊Q8C22semidirect
261. C4×#123C22semidirect
263. C4×#121C22semidirect
264. #2298C22semidirect
266. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#591292
#589352
#550542
#535682
#534502
#531282
#508082
#486962
#456082
#453872
#452992
#450702
#449322
#448922
#428922
#428802
#424352
#411452
#407232
#400532
#398892
#393612
#391862
#373192
#365362
#361282
#360292
#357282
#356222
#345972