Finite Group Databasebeta

← #8639589

Subgroups — #8639589

Order 512.

5910 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59017C212yesmaximal, complemented
2#58114C214yesmaximal, complemented
3#57971C212yesmaximal, complemented
4#55423C214yesmaximal, complemented
5#53103C211yesmaximal, characteristic, complemented
6#51940C214yesmaximal, complemented
7#48583C214yesmaximal, complemented
8#48391C214yesmaximal, complemented
9#47169C214yesmaximal, complemented
10#47096C212yesmaximal, complemented
11#45645C211yesmaximal, characteristic, complemented
12#45642C212yesmaximal, complemented
13#45265C212yesmaximal, complemented
14#45251C211yesmaximal, characteristic, complemented
15#44378C212yesmaximal, complemented
16#42974C212yesmaximal, complemented
17#42887C211yesmaximal, characteristic, complemented
18#41001C212yesmaximal, complemented
19#39795C212yesmaximal, complemented
20#39467C212yesmaximal, complemented
21#39133C211yesmaximal, characteristic, complemented
22#39041C212yesmaximal, complemented
23#37847C212yesmaximal, complemented
24#37371C212yesmaximal, complemented
25#36097C212yesmaximal, complemented
26#36082C211yesmaximal, characteristic, complemented
27#35512C212yesmaximal, complemented
28#35076C212yesmaximal, complemented
29#34655C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic, complemented
31C2×#556C2211yescharacteristic, complemented
32C2×#552C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#548C2211yescharacteristic, complemented
35C2×#525C2212yes—
36C2×#525C2212yescomplemented
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C22×#121C2212yescomplemented
39C22×C4×D4C2212yescomplemented
40#2854C2212yescomplemented
41#2854C2212yescomplemented
42#2850C2212yescomplemented
43#2848C2212yescomplemented
44#2847C2212yescomplemented
45#2847C2211yescharacteristic, complemented
46#2829C2214yescomplemented
47#2829C2214yescomplemented
48#2825C2214yescomplemented
49#2824C2212yescomplemented
50#2819C2212yescomplemented
51#2815C2212yescomplemented
52#2812C2212yescomplemented
53#2808C2214yescomplemented
54#2803C2214yescomplemented
55#2803C2214yescomplemented
56#2801C2214yescomplemented
57#2800C2214yescomplemented
58#2797C2214yescomplemented
59#2797C2214yescomplemented
60#2789C2212yescomplemented
61#2787C2214yescomplemented
62#2778C2214yescomplemented
63#2761C2214yescomplemented
64#2760C2212yescomplemented
65#2753C2214yescomplemented
66#2752C2212yescomplemented
67#2751C2214yescomplemented
68#2749C2214yescomplemented
69#2748C2214yescomplemented
70#2747C2214yescomplemented
71#2736C2214yescomplemented
72#2735C2214yescomplemented
73#2735C2214yescomplemented
74#2735C2214yescomplemented
75#2735C2212yescomplemented
76#2732C2214yescomplemented
77#2730C2214yescomplemented
78#2723C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2711C2214yescomplemented
83#2711C2214yescomplemented
84#2710C2214yescomplemented
85#2710C2214yescomplemented
86#2705C2214yescomplemented
87#2703C2214yescomplemented
88#2702C2214yescomplemented
89#2701C2214yescomplemented
90#2697C2214yescomplemented
91#2697C2214yescomplemented
92#2697C2214yescomplemented
93#2690C2214yescomplemented
94#2689C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2684C2214yescomplemented
100#2684C2214yescomplemented
101#2679C2212yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2670C2212yescomplemented
106#2670C2214yescomplemented
107#2661C2214yescomplemented
108#2661C2214yescomplemented
109#2651C2214yescomplemented
110#2644C2212yescomplemented
111#2640C2211yescharacteristic, complemented
112#2635C2214yescomplemented
113#2635C2214yescomplemented
114#2632C2212yescomplemented
115#2631C2212yescomplemented
116#2629C2212yescomplemented
117#2618C2212yescomplemented
118#2616C2212yescomplemented
119#2616C2211yescharacteristic, complemented
120#2613C2214yescomplemented
121#2609C2212yescomplemented
122#2607C2212yescomplemented
123#2601C2214yescomplemented
124#2597C2214yescomplemented
125#2593C2214yescomplemented
126#2591C2214yescomplemented
127#2580C2212yescomplemented
128#2577C2214yescomplemented
129#2563C2211yescharacteristic, complemented
130#2562C2212yescomplemented
131#2558C2214yescomplemented
132#2556C2214yescomplemented
133#2554C2214yescomplemented
134#2554C2214yescomplemented
135#2553C2214yescomplemented
136#2540C2212yescomplemented
137#2540C2211yescharacteristic, complemented
138#2539C2214yescomplemented
139#2539C2212yescomplemented
140#2538C2212yescomplemented
141#2536C2212yescomplemented
142#2534C2212yescomplemented
143#2513C2212yescomplemented
144#2512C2212yescomplemented
145#2501C2211yescharacteristic, complemented
146#2500C2212yescomplemented
147#2494C2212yescomplemented
148#2491C2212yescomplemented
149#2490C2212yescomplemented
150#2490C2212yescomplemented
151#2490C2212yescomplemented
152#2487C2212yescomplemented
153#2487C2212yescomplemented
154#2486C2211yescharacteristic, complemented
155#2485C2212yescomplemented
156#2482C2214yescomplemented
157#2476C2214yescomplemented
158#2476C2214yescomplemented
159#2474C2214yescomplemented
160#2472C2214yescomplemented
161#2471C2214yescomplemented
162#2471C2214yescomplemented
163#2470C2214yescomplemented
164#2468C2214yescomplemented
165#2467C2214yescomplemented
166#2467C2214yescomplemented
167#2463C2214yescomplemented
168#2463C2211yescharacteristic, complemented
169#2461C2214yescomplemented
170#2459C2214yescomplemented
171#2458C2214yescomplemented
172#2456C2212yescomplemented
173#2455C2211yescharacteristic, complemented
174#2454C2214yescomplemented
175#2453C2212yescomplemented
176#2449C2214yescomplemented
177#2449C2212yescomplemented
178#2448C2212yescomplemented
179#2443C2214yescomplemented
180#2443C2212yescomplemented
181#2439C2212yescomplemented
182#2437C2211yescharacteristic, complemented
183#2435C2212yescomplemented
184#2435C2212yescomplemented
185#2435C2211yescharacteristic, complemented
186#2435C2214yescomplemented
187#2426C2212yescomplemented
188#2426C2212yescomplemented
189#2424C2212yescomplemented
190#2423C2212yescomplemented
191#2418C2212yescomplemented
192#2416C2212yescomplemented
193#2415C2212yescomplemented
194#2415C2212yescomplemented
195#2414C2212yescomplemented
196#2414C2212yescomplemented
197#2414C2212yescomplemented
198#2414C2212yescomplemented
199#2414C2212yescomplemented
200#2411C2214yescomplemented
201#2410C2214yescomplemented
202#2410C2212yescomplemented
203#2409C2212yescomplemented
204#2408C2212yes—
205#2408C2212yes—
206#2408C2214yes—
207#2408C2212yescomplemented
208#2408C2214yescomplemented
209#2408C2214yescomplemented
210#2408C2212yescomplemented
211#2408C2212yescomplemented
212#2408C2212yescomplemented
213#2408C2211yescharacteristic, complemented
214#2407C2212yes—
215#2407C2214yescomplemented
216#2407C2214yescomplemented
217#2407C2212yescomplemented
218#2407C2212yescomplemented
219#2407C2212yescomplemented
220#2405C2214yescomplemented
221#2405C2214yescomplemented
222#2405C2214yescomplemented
223#2403C2214yes—
224#2403C2214yescomplemented
225#2403C2211yescharacteristic, complemented
226#2403C2214yescomplemented
227#2397C2211yescharacteristic, complemented
228#2392C2212yescomplemented
229#2388C2211yescharacteristic
230#2388C2212yescomplemented
231#2375C2212yescomplemented
232#2375C2214yescomplemented
233#2367C2214yescomplemented
234#2362C2212yescomplemented
235#2361C2214yescomplemented
236#2358C2214yescomplemented
237#2354C2212yescomplemented
238#2352C2212yescomplemented
239#2344C2212yescomplemented
240#2341C2211yescharacteristic, complemented
241#2341C2212yescomplemented
242Q8×C22⋊C4C2211yescharacteristic, complemented
243#2335C2214yescomplemented
244#2323C2212yescomplemented
245#2322C2212yescomplemented
246#2321C2214yescomplemented
247#2321C2214yescomplemented
248#2320C2211yescharacteristic, complemented
249#2311C2212yescomplemented
250#2311C2212yescomplemented
251#2309C2214yescomplemented
252#2309C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#120C2212yescomplemented
256C4×#120C2211yescharacteristic, complemented
257#2290C2212yescomplemented
258#2280C2212yescomplemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C23×Q8C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2312yes—
268C23×D4C2314yes—
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2314yes—
272C24×C4C2312yes—
273C24×C4C2311yescharacteristic
274#556—44no—
275#552—48no—
276#548—48no—
277#548—44no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#125C2312yes—
283C2×#125C2314yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2311yescharacteristic
289C2×#124C2314yes—
290#525—48no—
291#525—48no—
292C2×#123C2312yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2312yes—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2312yes—
301C2×C22⋊Q8—44no—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×#121—48no—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2311yescharacteristic
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2312yes—
334C2×#120C2314yes—
335C2×#120C2312yes—
336C2×#120C2312yes—
337C2×#120C2314yes—
338C2×#120C2312yes—
339C2×#120C2311yescharacteristic
340C2×#120C2312yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4—48no—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C42C2312yes—
380#401C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#399C2312yes—
386#399C2314yes—
387#399C2311yescharacteristic
388#399C2312yes—
389#399C2314yes—
390#399C2311yescharacteristic
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2312yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2312yes—
401#398C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#396C2314yes—
420#396C2312yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2312yes—
430#396C2314yes—
431#395C2311yescharacteristic
432#395C2312yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2311yescharacteristic
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2312yes—
475#393C2312yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2311yescharacteristic
480#393C2312yes—
481#393C2314yes—
482#392C2311yescharacteristic
483#392C2312yes—
484#392C2314yes—
485#392C2312yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2311yescharacteristic
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2311yescharacteristic
499#392C2312yes—
500#392C2312yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2311yescharacteristic
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#385C2311yescharacteristic
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#384C2312yes—
663#383C2312yes—
664#382C2312yes—
665#382C2312yes—
666#382C2312yes—
667#381C2312yes—
668#381C2314yes—
669#381C2314yes—
670#380C2311yescharacteristic
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#379C2312yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2311yescharacteristic
702#379C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2311yescharacteristic
723C25C2411yescharacteristic
724C25C2412yes—
725C25C2414yes—
726C25C2412yes—
727H(5,𝔽2)—464no—
728C2×#41—28no—
729C2×#41—24no—
730C2×#41—28no—
731C2×#41—28no—
732C2×#41—42no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—48no—
737C22×Q8—24no—
738C22×Q8—44no—
739C22×Q8C2411yescharacteristic
740C22×Q8C2411yescharacteristic
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2412yes—
744C22×D4—28no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—48no—
751C22×D4—42no—
752C22×D4—48no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—48no—
757C22×D4—48no—
758C22×D4—48no—
759C22×D4—84no—
760C22×D4C2411yescharacteristic
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2411yescharacteristic
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C23×C4—28no—
786C23×C4—44no—
787C23×C4—42no—
788C23×C4—44no—
789C23×C4—44no—
790C23×C4C2411yescharacteristic
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2411yescharacteristic
806C23×C4C2412yes—
807C4⋊Q8—42no—
808#126—48no—
809#126—48no—
810#126—84no—
811#125—44no—
812#125—48no—
813#124—44no—
814#124—44no—
815#124—42no—
816#124—44no—
817#124—48no—
818#124—48no—
819#123—44no—
820#123—44no—
821#123—48no—
822#123—48no—
823#123—44no—
824#123—48no—
825#123—82no—
826#123—82no—
827#123—84no—
828C22⋊Q8—28no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—48no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834C22⋊Q8—48no—
835C22⋊Q8—44no—
836C22⋊Q8—42no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839#121—44no—
840#121—44no—
841#121—48no—
842#121—44no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—48no—
847#121—48no—
848#121—44no—
849#121—44no—
850#121—42no—
851#121—44no—
852#121—44no—
853#121—48no—
854#121—44no—
855#120—44no—
856#120—48no—
857#120—42no—
858#120—48no—
859#120—44no—
860#120—48no—
861#120—48no—
862#120—44no—
863#120—48no—
864#120—44no—
865#120—84no—
866#120—82no—
867#120—84no—
868C4×Q8—24no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—42no—
880C4×D4—44no—
881C4×D4—42no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—48no—
885C4×D4—48no—
886C4×D4—48no—
887C4×D4—44no—
888C4×D4—44no—
889#117—44no—
890#117—48no—
891#117—44no—
892#117—44no—
893#117—44no—
894#117—84no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C22⋊C4—44no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C42—44no—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039#95C2411yescharacteristic
1040#95C2411yescharacteristic
1041#95C2412yes—
1042#95C2411yescharacteristic
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2411yescharacteristic
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082C24—24no—
1083C24—24no—
1084C24—22no—
1085C24—28no—
1086C24—24no—
1087C24—41no—
1088C24—42no—
1089C24—42no—
1090C24—42no—
1091C24—42no—
1092C24—44no—
1093C24—44no—
1094C24—42no—
1095C24—44no—
1096C24—42no—
1097C24—42no—
1098C24—41no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—42no—
1105C24—42no—
1106C24C2511yescharacteristic
1107C24C2514yes—
1108C24C2512yes—
1109C24C2512yes—
1110C24C2512yes—
1111C24C2512yes—
1112C24C2511yescharacteristic
1113#41—416no—
1114#41—432no—
1115#41—416no—
1116#41—432no—
1117C2×Q8—24no—
1118C2×Q8—24no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—24no—
1122C2×Q8—41no—
1123C2×Q8—42no—
1124C2×Q8—44no—
1125C2×Q8—44no—
1126C2×Q8—88no—
1127C2×Q8H(5,𝔽2)14yes—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—28no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—41no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—432no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—41no—
1175C2×D4—44no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—41no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—432no—
1200C2×D4—464no—
1201C2×D4—432no—
1202C2×D4—416no—
1203C2×D4—832no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—816no—
1250C22×C4—88no—
1251C22×C4H(5,𝔽2)18yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2514yes—
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—22no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—41no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—41no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—41no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—42no—
1400C42—42no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—42no—
1406C42—44no—
1407C42—44no—
1408C42—44no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23—24no—
1430C23—22no—
1431C23—24no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—22no—
1437C23—22no—
1438C23—24no—
1439C23—24no—
1440C23—22no—
1441C23—21no—
1442C23—22no—
1443C23—24no—
1444C23—22no—
1445C23—24no—
1446C23—21no—
1447C23—22no—
1448C23—22no—
1449C23—48no—
1450C23—48no—
1451C23—44no—
1452C23—48no—
1453C23—416no—
1454C23—48no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—82no—
1459C23—84no—
1460C23—88no—
1461C23—88no—
1462C23—82no—
1463C23—84no—
1464C23—84no—
1465C23—164no—
1466C23—164no—
1467C23—164no—
1468C23—164no—
1469C23—162no—
1470C23—164no—
1471C23—162no—
1472C23—164no—
1473C23C2×H(5,𝔽2)14yes—
1474C23#58514yes—
1475C23#58512yes—
1476C23C2611yescharacteristic
1477Q8—28no—
1478Q8—44no—
1479Q8—44no—
1480Q8—84no—
1481Q8—84no—
1482D4—48no—
1483D4—416no—
1484D4—416no—
1485D4—48no—
1486D4—48no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—48no—
1491D4—48no—
1492D4—44no—
1493D4—48no—
1494D4—88no—
1495D4—88no—
1496D4—84no—
1497D4—82no—
1498D4—84no—
1499D4—84no—
1500D4—88no—
1501D4—88no—
1502D4—82no—
1503D4—88no—
1504D4—84no—
1505D4—88no—
1506D4—88no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—216no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—416no—
1565C2×C4—48no—
1566C2×C4—416no—
1567C2×C4—48no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—82no—
1579C2×C4—84no—
1580C2×C4C2×H(5,𝔽2)14yes—
1581C2×C4C2×H(5,𝔽2)14yes—
1582C2×C4C2×H(5,𝔽2)14yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—22no—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—44no—
1605C22—41no—
1606C22—42no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—42no—
1611C22—44no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—41no—
1627C22—88no—
1628C22—816no—
1629C22—1616no—
1630C22—168no—
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C22×H(5,𝔽2)12yes—
1633C22C2×#58512yes—
1634C22C2×#58511yescharacteristic
1635C22H(7,𝔽2)11yescharacteristic
1636C4—24no—
1637C4—24no—
1638C4—44no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4—44no—
1645C4—42no—
1646C4—41no—
1647C4—44no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4#353214yes—
1658C2—42no—
1659C2—44no—
1660C2—44no—
1661C2—82no—
1662C2—84no—
1663C2—81no—
1664C2—82no—
1665C2C2×#353211yescharacteristic
1666C2#6282112yes—
1667C2#6289911yescharacteristic
1668C2#6292412yes—
1669C2#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. #59017C2semidirect
2. #58114C2semidirect
3. #57971C2semidirect
4. #55423C2semidirect
5. #53103C2semidirect
6. #51940C2semidirect
7. #48583C2semidirect
8. #48391C2semidirect
9. #47169C2semidirect
10. #47096C2semidirect
11. #45645C2semidirect
12. #45642C2semidirect
13. #45265C2semidirect
14. #45251C2semidirect
15. #44378C2semidirect
16. #42974C2semidirect
17. #42887C2semidirect
18. #41001C2semidirect
19. #39795C2semidirect
20. #39467C2semidirect
21. #39133C2semidirect
22. #39041C2semidirect
23. #37847C2semidirect
24. #37371C2semidirect
25. #36097C2semidirect
26. #36082C2semidirect
27. #35512C2semidirect
28. #35076C2semidirect
29. #34655C2semidirect
30. C22×H(5,𝔽2)C22semidirect
31. C2×#556C22semidirect
32. C2×#552C22semidirect
33. C2×#548C22semidirect
34. C2×#548C22semidirect
36. C2×#525C22semidirect
37. C22×C22⋊Q8C22semidirect
38. C22×#121C22semidirect
39. C22×C4×D4C22semidirect
40. #2854C22semidirect
41. #2854C22semidirect
42. #2850C22semidirect
43. #2848C22semidirect
44. #2847C22semidirect
45. #2847C22semidirect
46. #2829C22semidirect
47. #2829C22semidirect
48. #2825C22semidirect
49. #2824C22semidirect
50. #2819C22semidirect
51. #2815C22semidirect
52. #2812C22semidirect
53. #2808C22semidirect
54. #2803C22semidirect
55. #2803C22semidirect
56. #2801C22semidirect
57. #2800C22semidirect
58. #2797C22semidirect
59. #2797C22semidirect
60. #2789C22semidirect
61. #2787C22semidirect
62. #2778C22semidirect
63. #2761C22semidirect
64. #2760C22semidirect
65. #2753C22semidirect
66. #2752C22semidirect
67. #2751C22semidirect
68. #2749C22semidirect
69. #2748C22semidirect
70. #2747C22semidirect
71. #2736C22semidirect
72. #2735C22semidirect
73. #2735C22semidirect
74. #2735C22semidirect
75. #2735C22semidirect
76. #2732C22semidirect
77. #2730C22semidirect
78. #2723C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2711C22semidirect
83. #2711C22semidirect
84. #2710C22semidirect
85. #2710C22semidirect
86. #2705C22semidirect
87. #2703C22semidirect
88. #2702C22semidirect
89. #2701C22semidirect
90. #2697C22semidirect
91. #2697C22semidirect
92. #2697C22semidirect
93. #2690C22semidirect
94. #2689C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2684C22semidirect
100. #2684C22semidirect
101. #2679C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2661C22semidirect
108. #2661C22semidirect
109. #2651C22semidirect
110. #2644C22semidirect
111. #2640C22semidirect
112. #2635C22semidirect
113. #2635C22semidirect
114. #2632C22semidirect
115. #2631C22semidirect
116. #2629C22semidirect
117. #2618C22semidirect
118. #2616C22semidirect
119. #2616C22semidirect
120. #2613C22semidirect
121. #2609C22semidirect
122. #2607C22semidirect
123. #2601C22semidirect
124. #2597C22semidirect
125. #2593C22semidirect
126. #2591C22semidirect
127. #2580C22semidirect
128. #2577C22semidirect
129. #2563C22semidirect
130. #2562C22semidirect
131. #2558C22semidirect
132. #2556C22semidirect
133. #2554C22semidirect
134. #2554C22semidirect
135. #2553C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2539C22semidirect
139. #2539C22semidirect
140. #2538C22semidirect
141. #2536C22semidirect
142. #2534C22semidirect
143. #2513C22semidirect
144. #2512C22semidirect
145. #2501C22semidirect
146. #2500C22semidirect
147. #2494C22semidirect
148. #2491C22semidirect
149. #2490C22semidirect
150. #2490C22semidirect
151. #2490C22semidirect
152. #2487C22semidirect
153. #2487C22semidirect
154. #2486C22semidirect
155. #2485C22semidirect
156. #2482C22semidirect
157. #2476C22semidirect
158. #2476C22semidirect
159. #2474C22semidirect
160. #2472C22semidirect
161. #2471C22semidirect
162. #2471C22semidirect
163. #2470C22semidirect
164. #2468C22semidirect
165. #2467C22semidirect
166. #2467C22semidirect
167. #2463C22semidirect
168. #2463C22semidirect
169. #2461C22semidirect
170. #2459C22semidirect
171. #2458C22semidirect
172. #2456C22semidirect
173. #2455C22semidirect
174. #2454C22semidirect
175. #2453C22semidirect
176. #2449C22semidirect
177. #2449C22semidirect
178. #2448C22semidirect
179. #2443C22semidirect
180. #2443C22semidirect
181. #2439C22semidirect
182. #2437C22semidirect
183. #2435C22semidirect
184. #2435C22semidirect
185. #2435C22semidirect
186. #2435C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2424C22semidirect
190. #2423C22semidirect
191. #2418C22semidirect
192. #2416C22semidirect
193. #2415C22semidirect
194. #2415C22semidirect
195. #2414C22semidirect
196. #2414C22semidirect
197. #2414C22semidirect
198. #2414C22semidirect
199. #2414C22semidirect
200. #2411C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2409C22semidirect
207. #2408C22semidirect
208. #2408C22semidirect
209. #2408C22semidirect
210. #2408C22semidirect
211. #2408C22semidirect
212. #2408C22semidirect
213. #2408C22semidirect
215. #2407C22semidirect
216. #2407C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2405C22semidirect
221. #2405C22semidirect
222. #2405C22semidirect
224. #2403C22semidirect
225. #2403C22semidirect
226. #2403C22semidirect
227. #2397C22semidirect
228. #2392C22semidirect
230. #2388C22semidirect
231. #2375C22semidirect
232. #2375C22semidirect
233. #2367C22semidirect
234. #2362C22semidirect
235. #2361C22semidirect
236. #2358C22semidirect
237. #2354C22semidirect
238. #2352C22semidirect
239. #2344C22semidirect
240. #2341C22semidirect
241. #2341C22semidirect
242. Q8×C22⋊C4C22semidirect
243. #2335C22semidirect
244. #2323C22semidirect
245. #2322C22semidirect
246. #2321C22semidirect
247. #2321C22semidirect
248. #2320C22semidirect
249. #2311C22semidirect
250. #2311C22semidirect
251. #2309C22semidirect
252. #2309C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×#121C22semidirect
255. C4×#120C22semidirect
256. C4×#120C22semidirect
257. #2290C22semidirect
258. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#590172
#581142
#579712
#554232
#531032
#519402
#485832
#483912
#471692
#470962
#456452
#456422
#452652
#452512
#443782
#429742
#428872
#410012
#397952
#394672
#391332
#390412
#378472
#373712
#360972
#360822
#355122
#350762
#346552