Finite Group Databasebeta

← #7658757

Subgroups — #7658757

Order 512.

6032 conjugacy classes of subgroups.

The subgroup lattice has 1637 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42990C212yesmaximal, complemented
2#42977C211yesmaximal, characteristic, complemented
3#42975C211yesmaximal, characteristic, complemented
4#42907C212yesmaximal, complemented
5#42906C212yesmaximal, complemented
6#42895C212yesmaximal, complemented
7#42893C212yesmaximal, complemented
8#42201C212yesmaximal, complemented
9#42011C212yesmaximal, complemented
10#41962C214yesmaximal, complemented
11#40783C214yesmaximal, complemented
12#40762C214yesmaximal, complemented
13#40728C214yesmaximal, complemented
14#40720C214yesmaximal, complemented
15#37517C212yesmaximal, complemented
16#37513C211yesmaximal, characteristic, complemented
17#37496C214yesmaximal, complemented
18#37493C212yesmaximal, complemented
19#36670C211yesmaximal, characteristic, complemented
20C2×#2828C212yesmaximal, complemented
21#36031C211yesmaximal, characteristic, complemented
22#35903C212yesmaximal, complemented
23#35873C212yesmaximal, complemented
24#35728C211yesmaximal, characteristic, complemented
25#35713C212yesmaximal, complemented
26#35691C212yesmaximal, complemented
27#35680C212yesmaximal, complemented
28#34292C212yesmaximal, complemented
29#34258C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#554C2211yescharacteristic, complemented
32C2×#546C2212yes—
33C2×D42C2212yes—
34C2×D42C2212yes—
35C2×D42C2211yescharacteristic, complemented
36C2×#520C2211yescharacteristic
37C2×#518C2212yescomplemented
38C2×C4×#41C2211yescharacteristic
39#2833C2211yescharacteristic, complemented
40#2832C2211yescharacteristic, complemented
41#2832C2212yescomplemented
42#2831C2212yescomplemented
43#2830C2211yescharacteristic, complemented
44#2829C2212yescomplemented
45#2829C2214yescomplemented
46#2828C2214yescomplemented
47#2828C2214yescomplemented
48#2828C2212yescomplemented
49#2828C2211yescharacteristic, complemented
50#2828C2214yescomplemented
51#2828C2214yescomplemented
52#2828C2214yescomplemented
53#2828C2212yescomplemented
54#2828C2212yescomplemented
55#2828C2214yescomplemented
56#2827C2212yescomplemented
57#2826C2212yescomplemented
58#2825C2212yescomplemented
59#2824C2212yescomplemented
60#2803C2214yescomplemented
61#2803C2214yescomplemented
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2779C2214yescomplemented
65#2778C2214yescomplemented
66#2778C2214yescomplemented
67#2778C2214yescomplemented
68#2770C2214yescomplemented
69#2756C2214yescomplemented
70#2750C2214yescomplemented
71#2736C2212yescomplemented
72#2733C2214yescomplemented
73#2714C2214yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2710C2214yescomplemented
77#2708C2214yescomplemented
78#2703C2214yescomplemented
79#2686C2214yescomplemented
80#2685C2214yescomplemented
81#2682C2214yescomplemented
82#2678C2214yescomplemented
83#2670C2212yescomplemented
84#2670C2212yescomplemented
85#2668C2212yescomplemented
86#2662C2214yescomplemented
87#2662C2214yescomplemented
88#2661C2214yescomplemented
89#2661C2214yescomplemented
90#2661C2214yescomplemented
91#2653C2214yescomplemented
92#2653C2214yescomplemented
93#2651C2214yescomplemented
94#2650C2214yescomplemented
95#2649C2214yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2648C2214yescomplemented
99#2648C2214yescomplemented
100#2644C2212yescomplemented
101#2643C2214yescomplemented
102#2641C2212yescomplemented
103#2639C2214yescomplemented
104#2635C2214yescomplemented
105#2631C2214yescomplemented
106#2628C2211yescharacteristic, complemented
107#2627C2212yescomplemented
108#2624C2212yescomplemented
109#2622C2214yescomplemented
110#2622C2214yescomplemented
111#2619C2212yescomplemented
112#2619C2211yescharacteristic, complemented
113#2618C2212yescomplemented
114#2617C2214yescomplemented
115#2617C2214yescomplemented
116#2615C2212yescomplemented
117#2613C2214yescomplemented
118#2597C2214yescomplemented
119#2595C2214yescomplemented
120#2593C2212yescomplemented
121#2591C2214yescomplemented
122#2581C2211yescharacteristic, complemented
123#2572C2212yescomplemented
124#2568C2211yescharacteristic, complemented
125#2564C2212yescomplemented
126#2562C2212yescomplemented
127#2559C2214yescomplemented
128#2557C2214yescomplemented
129#2555C2212yescomplemented
130#2555C2212yescomplemented
131#2554C2214yescomplemented
132#2548C2212yescomplemented
133#2548C2211yescharacteristic, complemented
134#2543C2212yescomplemented
135#2543C2214yescomplemented
136#2541C2212yescomplemented
137#2536C2211yescharacteristic, complemented
138#2535C2212yescomplemented
139#2513C2212yescomplemented
140#2513C2212yescomplemented
141#2512C2212yescomplemented
142#2510C2214yescomplemented
143#2510C2214yescomplemented
144#2500C2212yescomplemented
145#2496C2212yescomplemented
146#2495C2212yescomplemented
147#2494C2212yescomplemented
148#2491C2212yescomplemented
149#2491C2212yescomplemented
150#2490C2212yescomplemented
151#2490C2212yescomplemented
152#2487C2212yescomplemented
153#2485C2212yescomplemented
154#2481C2214yescomplemented
155#2480C2214yescomplemented
156#2480C2214yescomplemented
157#2480C2214yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2472C2214yescomplemented
162#2453C2212yescomplemented
163#2450C2214yescomplemented
164#2445C2212yescomplemented
165#2445C2212yescomplemented
166#2444C2214yescomplemented
167#2443C2214yescomplemented
168#2442C2212yescomplemented
169#2438C2214yescomplemented
170#2435C2214yescomplemented
171#2433C2212yescomplemented
172#2431C2212yescomplemented
173#2431C2212yescomplemented
174#2430C2214yescomplemented
175#2428C2212yescomplemented
176#2428C2212yescomplemented
177#2426C2212yescomplemented
178#2424C2214yescomplemented
179#2424C2214yescomplemented
180#2424C2214yescomplemented
181#2424C2214yescomplemented
182#2422C2212yescomplemented
183#2420C2212yescomplemented
184#2418C2214yescomplemented
185#2418C2214yescomplemented
186#2418C2214yescomplemented
187#2416C2212yescomplemented
188#2414C2212yescomplemented
189#2414C2212yescomplemented
190#2412C2214yescomplemented
191#2411C2214yescomplemented
192#2410C2214yescomplemented
193#2410C2214yescomplemented
194#2410C2214yescomplemented
195#2410C2214yescomplemented
196#2408C2214yescomplemented
197#2408C2212yescomplemented
198#2408C2212yescomplemented
199#2407C2212yescomplemented
200#2407C2212yescomplemented
201#2405C2214yescomplemented
202#2404C2214yescomplemented
203#2403C2214yescomplemented
204#2403C2214yescomplemented
205#2401C2212yescomplemented
206#2398C2212yescomplemented
207#2396C2211yescharacteristic, complemented
208#2395C2212yescomplemented
209C2×#400C2212yescomplemented
210#2392C2212yescomplemented
211#2392C2211yescharacteristic, complemented
212C2×#397C2214yescomplemented
213#2388C2212yescomplemented
214C2×#394C2214yescomplemented
215C2×#394C2212yescomplemented
216C2×#394C2214yescomplemented
217C2×#392C2214yescomplemented
218C2×#392C2214yescomplemented
219#2367C2212yescomplemented
220#2363C2212yescomplemented
221#2362C2212yescomplemented
222#2361C2214yescomplemented
223#2359C2214yescomplemented
224#2358C2214yescomplemented
225#2354C2212yescomplemented
226#2349C2211yescharacteristic, complemented
227#2349C2212yescomplemented
228#2349C2211yescharacteristic, complemented
229D4×C4⋊C4C2212yescomplemented
230#2342C2214yescomplemented
231#2341C2212yescomplemented
232#2341C2212yescomplemented
233#2339C2212yes—
234D4×C22⋊C4C2212yes—
235D4×C22⋊C4C2212yes—
236D4×C22⋊C4C2212yes—
237D4×C22⋊C4C2212yes—
238D4×C22⋊C4C2214yescomplemented
239D4×C22⋊C4C2214yescomplemented
240D4×C22⋊C4C2212yescomplemented
241D4×C22⋊C4C2212yescomplemented
242#2326C2212yescomplemented
243#2325C2214yescomplemented
244#2323C2212yescomplemented
245#2321C2214yescomplemented
246#2311C2212yescomplemented
247#2311C2211yescharacteristic, complemented
248#2309C2211yescharacteristic, complemented
249#2309C2212yescomplemented
250C4×#123C2214yescomplemented
251C4×#121C2212yescomplemented
252#2297C2211yescharacteristic, complemented
253#2297C2212yescomplemented
254C2×#390C2212yescomplemented
255C2×#390C2211yescharacteristic, complemented
256#2290C2212yescomplemented
257C2×#388C2214yescomplemented
258#2275C2212yescomplemented
259C2×H(5,𝔽2)—28no—
260C2×H(5,𝔽2)—44no—
261C2×H(5,𝔽2)—44no—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2312yes—
266C23×D4C2312yes—
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2311yescharacteristic
270C23×D4C2314yes—
271C23×D4C2314yes—
272C23×D4C2314yes—
273C23×D4C2312yes—
274#554—44no—
275#546—216no—
276D42—48no—
277D42—48no—
278D42—44no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×#127C2311yescharacteristic
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#125C2312yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×#121C2314yes—
298C2×#121C2312yes—
299C2×#121C2314yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321#520—44no—
322#518—48no—
323C4×#41—44no—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2314yes—
346C2×#117C2312yes—
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2314yes—
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2314yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2314yes—
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C42C2312yes—
367C22×C42C2311yescharacteristic
368#401C2312yes—
369#401C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2312yes—
380#400C2311yescharacteristic
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#399C2312yes—
387#399C2311yescharacteristic
388#399C2312yes—
389#399C2314yes—
390#398C2312yes—
391#398C2312yes—
392#398C2312yes—
393#398C2314yes—
394#398C2311yescharacteristic
395#398C2312yes—
396#398C2314yes—
397#397C2312yes—
398#397C2312yes—
399#397C2312yes—
400#397C2312yes—
401#397C2312yes—
402#397C2312yes—
403#397C2312yes—
404#397C2311yescharacteristic
405#397C2312yes—
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#396C2312yes—
426#396C2312yes—
427#396C2312yes—
428#396C2312yes—
429#396C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#395C2312yes—
435#395C2311yescharacteristic
436#395C2312yes—
437#395C2312yes—
438#394C2314yes—
439#394C2312yes—
440#394C2312yes—
441#394C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2311yescharacteristic
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2311yescharacteristic
489#393C2312yes—
490#393C2312yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2312yes—
495#393C2314yes—
496#392C2312yes—
497#392C2311yescharacteristic
498#392C2312yes—
499#392C2312yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2312yes—
523#392C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
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#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#384C2312yes—
664#383C2314yes—
665#382C2312yes—
666#382C2311yescharacteristic
667#382C2311yescharacteristic
668#381C2314yes—
669#381C2314yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2312yes—
687#379C2312yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717#376C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C25C2414yes—
724C25C2414yes—
725C25C2412yes—
726H(5,𝔽2)—464no—
727C2×#41—28no—
728C2×#41—24no—
729C2×#41—24no—
730C2×#41—28no—
731C2×#41—24no—
732C2×#41—42no—
733C2×#41—42no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41#4118yes—
739C22×Q8C2411yescharacteristic
740C22×Q8C2411yescharacteristic
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×D4—28no—
744C22×D4—216no—
745C22×D4—28no—
746C22×D4—28no—
747C22×D4—28no—
748C22×D4—28no—
749C22×D4—28no—
750C22×D4—28no—
751C22×D4—24no—
752C22×D4—42no—
753C22×D4—42no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—48no—
757C22×D4—44no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—84no—
762C22×D4—84no—
763C22×D4—84no—
764C22×D4—84no—
765C22×D4—84no—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C4⋊Q8—42no—
808#127—44no—
809#127—42no—
810#127—44no—
811#126—84no—
812#126—84no—
813#125—44no—
814#124—28no—
815#124—84no—
816#124—84no—
817#124—84no—
818#123—216no—
819#123—84no—
820#123—84no—
821#123—84no—
822C22⋊Q8—28no—
823C22⋊Q8—48no—
824C22⋊Q8—44no—
825#121—216no—
826#121—28no—
827#121—44no—
828#121—44no—
829#121—44no—
830#121—44no—
831#121—44no—
832#121—48no—
833#121—44no—
834#121—48no—
835#121—84no—
836#121—84no—
837#121—84no—
838#121—84no—
839#121—84no—
840#120—216no—
841#120—48no—
842#120—48no—
843#120—48no—
844#120—48no—
845#120—48no—
846#120—84no—
847#120—84no—
848#120—84no—
849C4×Q8—42no—
850C4×Q8—44no—
851C4×Q8—42no—
852C4×Q8—42no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—24no—
857C4×D4—24no—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—42no—
864C4×D4—44no—
865C4×D4—48no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—84no—
871#117—44no—
872#117—42no—
873#117—44no—
874#117—44no—
875#117—42no—
876#117—44no—
877C2×C4⋊C4—42no—
878C2×C4⋊C4—44no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—84no—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C22⋊C4—216no—
920C2×C22⋊C4—48no—
921C2×C22⋊C4—48no—
922C2×C22⋊C4—84no—
923C2×C22⋊C4—84no—
924C2×C22⋊C4—84no—
925C2×C22⋊C4—84no—
926C2×C22⋊C4—84no—
927C2×C22⋊C4—84no—
928C2×C22⋊C4—84no—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C42—42no—
1005C2×C42—44no—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2411yescharacteristic
1026#95C2411yescharacteristic
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074C24—28no—
1075C24—24no—
1076C24—28no—
1077C24—28no—
1078C24—28no—
1079C24—28no—
1080C24—28no—
1081C24—42no—
1082C24—42no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24C2512yes—
1094C24C2512yes—
1095C24C2514yes—
1096C24C2514yes—
1097C24C2511yescharacteristic
1098C24C2512yes—
1099#41—232no—
1100#41—432no—
1101#41—416no—
1102#41—432no—
1103C2×Q8—22no—
1104C2×Q8—22no—
1105C2×Q8—22no—
1106C2×Q8—41no—
1107C2×Q8—41no—
1108C2×Q8—41no—
1109C2×Q8—42no—
1110C2×Q8—42no—
1111C2×Q8—44no—
1112C2×Q8C2×#4114yes—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—22no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—41no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—432no—
1150C2×D4—416no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—44no—
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—44no—
1177C2×D4—44no—
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—464no—
1187C2×D4—432no—
1188C2×D4—432no—
1189C2×D4—832no—
1190C2×D4—816no—
1191C2×D4—832no—
1192C2×D4C2×#4118yes—
1193C2×D4C2×#4114yes—
1194C2×D4H(5,𝔽2)14yes—
1195C2×D4H(5,𝔽2)14yes—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—42no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4C2×#4118yes—
1237C22×C4C2×#4114yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2514yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—41no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—41no—
1381C42—41no—
1382C42—42no—
1383C42—44no—
1384C42—44no—
1385C42—42no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C23—24no—
1391C23—24no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—24no—
1400C23—22no—
1401C23—24no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—22no—
1406C23—24no—
1407C23—24no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—48no—
1425C23—416no—
1426C23—416no—
1427C23—88no—
1428C23—88no—
1429C23—88no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—88no—
1434C23—88no—
1435C23—88no—
1436C23—88no—
1437C23—88no—
1438C23—88no—
1439C23—88no—
1440C23—164no—
1441C23—162no—
1442C23—162no—
1443C23C22×#4112yes—
1444C23C22×#4114yes—
1445C23C2×H(5,𝔽2)14yes—
1446C23C2×H(5,𝔽2)14yes—
1447C23C2611yescharacteristic
1448Q8—28no—
1449Q8—44no—
1450Q8—82no—
1451Q8—162no—
1452D4—216no—
1453D4—48no—
1454D4—44no—
1455D4—416no—
1456D4—48no—
1457D4—48no—
1458D4—44no—
1459D4—48no—
1460D4—416no—
1461D4—416no—
1462D4—48no—
1463D4—48no—
1464D4—88no—
1465D4—84no—
1466D4—88no—
1467D4—84no—
1468D4—88no—
1469D4—88no—
1470D4—88no—
1471D4—88no—
1472D4—88no—
1473D4—88no—
1474D4—164no—
1475D4—164no—
1476D4—162no—
1477D4#538116yes—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—216no—
1483C2×C4—28no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
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—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—416no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—88no—
1542C2×C4—84no—
1543C2×C4—88no—
1544C2×C4—88no—
1545C2×C4—84no—
1546C2×C4—88no—
1547C2×C4—84no—
1548C2×C4—162no—
1549C2×C4—164no—
1550C2×C4—164no—
1551C2×C4C22×#4114yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4112yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C22—28no—
1557C22—24no—
1558C22—24no—
1559C22—28no—
1560C22—24no—
1561C22—22no—
1562C22—42no—
1563C22—41no—
1564C22—41no—
1565C22—44no—
1566C22—44no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—44no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—44no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—44no—
1589C22—44no—
1590C22—42no—
1591C22—42no—
1592C22—44no—
1593C22—1616no—
1594C22—1616no—
1595C22—168no—
1596C22C2×#53818yes—
1597C22C23×#4111yescharacteristic
1598C22C22×H(5,𝔽2)11yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22H(7,𝔽2)12yes—
1601C22H(7,𝔽2)12yes—
1602C4—22no—
1603C4—24no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—44no—
1609C4—42no—
1610C4—42no—
1611C4—44no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—41no—
1618C4—41no—
1619C4—42no—
1620C4—44no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4C2×#53814yes—
1625C2—28no—
1626C2—42no—
1627C2—84no—
1628C2—82no—
1629C2—82no—
1630C2—84no—
1631C2C22×#53811yescharacteristic
1632C2#6285812yes—
1633C2#6304112yes—
1634C2#6304111yescharacteristic
1635C2#6304511yescharacteristic
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. #42990C2semidirect
2. #42977C2semidirect
3. #42975C2semidirect
4. #42907C2semidirect
5. #42906C2semidirect
6. #42895C2semidirect
7. #42893C2semidirect
8. #42201C2semidirect
9. #42011C2semidirect
10. #41962C2semidirect
11. #40783C2semidirect
12. #40762C2semidirect
13. #40728C2semidirect
14. #40720C2semidirect
15. #37517C2semidirect
16. #37513C2semidirect
17. #37496C2semidirect
18. #37493C2semidirect
19. #36670C2semidirect
20. C2×#2828C2semidirect
21. #36031C2semidirect
22. #35903C2semidirect
23. #35873C2semidirect
24. #35728C2semidirect
25. #35713C2semidirect
26. #35691C2semidirect
27. #35680C2semidirect
28. #34292C2semidirect
29. #34258C2semidirect
31. C2×#554C22semidirect
35. C2×D42C22semidirect
37. C2×#518C22semidirect
39. #2833C22semidirect
40. #2832C22semidirect
41. #2832C22semidirect
42. #2831C22semidirect
43. #2830C22semidirect
44. #2829C22semidirect
45. #2829C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2828C22semidirect
55. #2828C22semidirect
56. #2827C22semidirect
57. #2826C22semidirect
58. #2825C22semidirect
59. #2824C22semidirect
60. #2803C22semidirect
61. #2803C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2779C22semidirect
65. #2778C22semidirect
66. #2778C22semidirect
67. #2778C22semidirect
68. #2770C22semidirect
69. #2756C22semidirect
70. #2750C22semidirect
71. #2736C22semidirect
72. #2733C22semidirect
73. #2714C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2710C22semidirect
77. #2708C22semidirect
78. #2703C22semidirect
79. #2686C22semidirect
80. #2685C22semidirect
81. #2682C22semidirect
82. #2678C22semidirect
83. #2670C22semidirect
84. #2670C22semidirect
85. #2668C22semidirect
86. #2662C22semidirect
87. #2662C22semidirect
88. #2661C22semidirect
89. #2661C22semidirect
90. #2661C22semidirect
91. #2653C22semidirect
92. #2653C22semidirect
93. #2651C22semidirect
94. #2650C22semidirect
95. #2649C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2648C22semidirect
99. #2648C22semidirect
100. #2644C22semidirect
101. #2643C22semidirect
102. #2641C22semidirect
103. #2639C22semidirect
104. #2635C22semidirect
105. #2631C22semidirect
106. #2628C22semidirect
107. #2627C22semidirect
108. #2624C22semidirect
109. #2622C22semidirect
110. #2622C22semidirect
111. #2619C22semidirect
112. #2619C22semidirect
113. #2618C22semidirect
114. #2617C22semidirect
115. #2617C22semidirect
116. #2615C22semidirect
117. #2613C22semidirect
118. #2597C22semidirect
119. #2595C22semidirect
120. #2593C22semidirect
121. #2591C22semidirect
122. #2581C22semidirect
123. #2572C22semidirect
124. #2568C22semidirect
125. #2564C22semidirect
126. #2562C22semidirect
127. #2559C22semidirect
128. #2557C22semidirect
129. #2555C22semidirect
130. #2555C22semidirect
131. #2554C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2543C22semidirect
135. #2543C22semidirect
136. #2541C22semidirect
137. #2536C22semidirect
138. #2535C22semidirect
139. #2513C22semidirect
140. #2513C22semidirect
141. #2512C22semidirect
142. #2510C22semidirect
143. #2510C22semidirect
144. #2500C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2494C22semidirect
148. #2491C22semidirect
149. #2491C22semidirect
150. #2490C22semidirect
151. #2490C22semidirect
152. #2487C22semidirect
153. #2485C22semidirect
154. #2481C22semidirect
155. #2480C22semidirect
156. #2480C22semidirect
157. #2480C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2472C22semidirect
162. #2453C22semidirect
163. #2450C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2444C22semidirect
167. #2443C22semidirect
168. #2442C22semidirect
169. #2438C22semidirect
170. #2435C22semidirect
171. #2433C22semidirect
172. #2431C22semidirect
173. #2431C22semidirect
174. #2430C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2426C22semidirect
178. #2424C22semidirect
179. #2424C22semidirect
180. #2424C22semidirect
181. #2424C22semidirect
182. #2422C22semidirect
183. #2420C22semidirect
184. #2418C22semidirect
185. #2418C22semidirect
186. #2418C22semidirect
187. #2416C22semidirect
188. #2414C22semidirect
189. #2414C22semidirect
190. #2412C22semidirect
191. #2411C22semidirect
192. #2410C22semidirect
193. #2410C22semidirect
194. #2410C22semidirect
195. #2410C22semidirect
196. #2408C22semidirect
197. #2408C22semidirect
198. #2408C22semidirect
199. #2407C22semidirect
200. #2407C22semidirect
201. #2405C22semidirect
202. #2404C22semidirect
203. #2403C22semidirect
204. #2403C22semidirect
205. #2401C22semidirect
206. #2398C22semidirect
207. #2396C22semidirect
208. #2395C22semidirect
209. C2×#400C22semidirect
210. #2392C22semidirect
211. #2392C22semidirect
212. C2×#397C22semidirect
213. #2388C22semidirect
214. C2×#394C22semidirect
215. C2×#394C22semidirect
216. C2×#394C22semidirect
217. C2×#392C22semidirect
218. C2×#392C22semidirect
219. #2367C22semidirect
220. #2363C22semidirect
221. #2362C22semidirect
222. #2361C22semidirect
223. #2359C22semidirect
224. #2358C22semidirect
225. #2354C22semidirect
226. #2349C22semidirect
227. #2349C22semidirect
228. #2349C22semidirect
229. D4×C4⋊C4C22semidirect
230. #2342C22semidirect
231. #2341C22semidirect
232. #2341C22semidirect
238. D4×C22⋊C4C22semidirect
239. D4×C22⋊C4C22semidirect
240. D4×C22⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2326C22semidirect
243. #2325C22semidirect
244. #2323C22semidirect
245. #2321C22semidirect
246. #2311C22semidirect
247. #2311C22semidirect
248. #2309C22semidirect
249. #2309C22semidirect
250. C4×#123C22semidirect
251. C4×#121C22semidirect
252. #2297C22semidirect
253. #2297C22semidirect
254. C2×#390C22semidirect
255. C2×#390C22semidirect
256. #2290C22semidirect
257. C2×#388C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#429902
#429772
#429752
#429072
#429062
#428952
#428932
#422012
#420112
#419622
#407832
#407622
#407282
#407202
#375172
#375132
#374962
#374932
#366702
C2×#28282
#360312
#359032
#358732
#357282
#357132
#356912
#356802
#342922
#342582