Finite Group Databasebeta

← #8157110

Subgroups — #8157110

Order 512.

5884 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59808C212yesmaximal, complemented
2#59303C212yesmaximal, complemented
3#56606C214yesmaximal, complemented
4#55697C214yesmaximal, complemented
5#54486C214yesmaximal, complemented
6#54011C214yesmaximal, complemented
7#53071C212yesmaximal, complemented
8#52957C212yesmaximal, complemented
9#52530C214yesmaximal, complemented
10#45088C212yesmaximal, complemented
11#44887C212yesmaximal, complemented
12#42923C212yesmaximal, complemented
13#42578C212yesmaximal, complemented
14#42548C212yesmaximal, complemented
15#42420C212yesmaximal, complemented
16#40512C214yesmaximal, complemented
17#39504C211yesmaximal, characteristic, complemented
18#39359C211yesmaximal, characteristic, complemented
19#37948C212yesmaximal, complemented
20#37839C212yesmaximal, complemented
21#37673C212yesmaximal, complemented
22#37650C212yesmaximal, complemented
23#37440C212yesmaximal, complemented
24#36710C212yesmaximal, complemented
25#36160C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35005C211yesmaximal, characteristic, complemented
28C2×#2422C211yesmaximal, characteristic, complemented
29#34575C211yesmaximal, characteristic, complemented
30C2×#555C2211yescharacteristic, complemented
31C2×#547C2212yescomplemented
32C2×#546C2214yescomplemented
33C2×D42C2212yes—
34C2×D42C2211yescharacteristic, complemented
35C2×#538C2212yescomplemented
36C2×#537C2212yescomplemented
37C2×#535C2212yes—
38C2×#525C2212yescomplemented
39C22×#123C2212yescomplemented
40C22×#121C2211yescharacteristic
41C22×#121C2212yes—
42C22×C4×D4C2211yescharacteristic
43#2857C2211yescharacteristic, complemented
44#2856C2211yescharacteristic
45#2847C2212yes—
46#2847C2212yescomplemented
47#2847C2212yescomplemented
48#2835C2214yescomplemented
49#2832C2214yescomplemented
50#2832C2214yescomplemented
51#2828C2214yescomplemented
52#2828C2214yescomplemented
53#2824C2214yescomplemented
54#2824C2214yescomplemented
55#2819C2214yescomplemented
56#2813C2214yescomplemented
57#2813C2214yescomplemented
58#2813C2214yescomplemented
59#2812C2214yescomplemented
60#2809C2212yescomplemented
61#2808C2212yescomplemented
62#2795C2214yescomplemented
63#2795C2214yescomplemented
64#2784C2214yescomplemented
65#2783C2214yescomplemented
66#2782C2214yescomplemented
67#2782C2214yescomplemented
68#2781C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2744C2214yescomplemented
72#2736C2214yescomplemented
73#2723C2214yescomplemented
74#2714C2214yescomplemented
75#2712C2214yescomplemented
76#2710C2214yescomplemented
77#2706C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2696C2214yescomplemented
81#2696C2214yescomplemented
82#2696C2214yescomplemented
83#2696C2214yescomplemented
84#2696C2214yescomplemented
85#2696C2214yescomplemented
86#2692C2214yescomplemented
87#2686C2214yescomplemented
88#2684C2214yescomplemented
89#2684C2214yescomplemented
90#2683C2212yescomplemented
91#2682C2212yescomplemented
92#2681C2214yescomplemented
93#2681C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2675C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2672C2214yescomplemented
106#2671C2214yescomplemented
107#2670C2214yescomplemented
108#2669C2214yescomplemented
109#2669C2214yescomplemented
110#2663C2212yescomplemented
111#2663C2212yescomplemented
112#2662C2214yescomplemented
113#2661C2212yescomplemented
114#2661C2212yescomplemented
115#2661C2214yescomplemented
116#2661C2214yescomplemented
117#2659C2211yescharacteristic, complemented
118#2656C2211yescharacteristic
119#2639C2212yescomplemented
120#2639C2212yescomplemented
121#2636C2214yescomplemented
122#2628C2212yescomplemented
123#2623C2214yescomplemented
124#2619C2212yescomplemented
125#2619C2214yescomplemented
126#2618C2212yes—
127#2618C2212yescomplemented
128#2617C2211yescharacteristic
129#2617C2212yescomplemented
130#2617C2211yescharacteristic, complemented
131#2617C2212yescomplemented
132#2617C2214yescomplemented
133#2615C2212yescomplemented
134#2615C2212yescomplemented
135#2613C2214yescomplemented
136#2609C2214yescomplemented
137#2591C2214yescomplemented
138#2591C2214yescomplemented
139#2574C2214yescomplemented
140#2571C2212yescomplemented
141#2563C2212yescomplemented
142#2563C2211yescharacteristic, complemented
143#2559C2214yescomplemented
144#2557C2214yescomplemented
145#2544C2214yescomplemented
146#2541C2212yescomplemented
147#2541C2211yescharacteristic, complemented
148#2539C2214yescomplemented
149#2537C2211yescharacteristic, complemented
150#2537C2212yescomplemented
151#2537C2211yescharacteristic, complemented
152#2535C2212yes—
153#2535C2212yescomplemented
154#2534C2214yescomplemented
155#2508C2212yescomplemented
156#2500C2214yescomplemented
157#2500C2212yescomplemented
158#2500C2212yescomplemented
159#2497C2212yescomplemented
160#2497C2212yescomplemented
161#2497C2212yescomplemented
162#2497C2214yescomplemented
163#2496C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2212yescomplemented
166#2488C2214yescomplemented
167#2488C2214yescomplemented
168#2487C2212yescomplemented
169#2486C2212yescomplemented
170#2485C2212yescomplemented
171#2485C2212yescomplemented
172#2476C2214yescomplemented
173#2474C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2464C2214yescomplemented
178#2459C2214yescomplemented
179#2452C2212yescomplemented
180#2452C2212yescomplemented
181#2449C2214yescomplemented
182#2445C2212yescomplemented
183#2440C2212yescomplemented
184#2439C2212yescomplemented
185#2437C2214yescomplemented
186#2433C2214yescomplemented
187#2430C2214yescomplemented
188#2430C2214yescomplemented
189#2428C2212yescomplemented
190#2428C2212yescomplemented
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2422C2212yes—
196#2422C2212yes—
197#2422C2214yescomplemented
198#2422C2212yescomplemented
199#2422C2212yescomplemented
200#2422C2212yescomplemented
201#2422C2214yescomplemented
202#2420C2212yescomplemented
203#2416C2212yes—
204#2416C2212yescomplemented
205#2416C2214yescomplemented
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2411C2214yescomplemented
213#2411C2214yescomplemented
214#2411C2214yescomplemented
215#2410C2214yes—
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2405C2214yescomplemented
223#2404C2214yescomplemented
224#2404C2214yescomplemented
225#2403C2214yescomplemented
226#2395C2212yescomplemented
227#2395C2212yescomplemented
228C2×#397C2212yescomplemented
229#2388C2212yescomplemented
230#2388C2212yescomplemented
231C2×#394C2212yescomplemented
232#2363C2212yescomplemented
233#2361C2212yescomplemented
234#2354C2211yescharacteristic, complemented
235#2354C2212yescomplemented
236#2354C2212yescomplemented
237#2352C2212yescomplemented
238#2352C2214yescomplemented
239#2352C2212yescomplemented
240D4×C4⋊C4C2211yescharacteristic, complemented
241D4×C22⋊C4C2212yescomplemented
242D4×C22⋊C4C2212yescomplemented
243#2325C2212yescomplemented
244#2324C2212yes—
245#2324C2212yescomplemented
246#2313C2212yescomplemented
247#2311C2212yescomplemented
248C4×#121C2211yescharacteristic
249C4×#121C2211yescharacteristic, complemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C2×#390C2211yescharacteristic
253C2×#389C2211yescharacteristic, complemented
254C2×#385C2212yescomplemented
255C2×#384C2211yescharacteristic, complemented
256#2280C2212yescomplemented
257C2×#380C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2314yes—
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267C24×C4C2312yes—
268#555—44no—
269#547—48no—
270#546—416no—
271D42—48no—
272D42—44no—
273#538—48no—
274#537—48no—
275#535—48no—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2312yes—
278C2×#127C2311yescharacteristic
279C2×#127C2312yes—
280C2×#127C2314yes—
281C2×#127C2314yes—
282C2×#126C2314yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287#525—48no—
288C2×#123—48no—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×#121—48no—
308C2×#121—44no—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2311yescharacteristic
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2311yescharacteristic
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×C4×D4—44no—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#399C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#395C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2312yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2312yes—
525#392C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
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#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2312yes—
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#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#384C2312yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2314yes—
666#382C2312yes—
667#382C2314yes—
668#382C2314yes—
669#382C2312yes—
670#382C2314yes—
671#381C2314yes—
672#381C2314yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2312yes—
692#380C2314yes—
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2314yes—
696#380C2312yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C2×#95C2311yescharacteristic
722C2×#95C2311yescharacteristic
723C2×#95C2312yes—
724C2×#95C2312yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C25C2414yes—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—48no—
732C2×#41—48no—
733C2×#41—48no—
734C22×Q8C2414yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×D4—24no—
738C22×D4—28no—
739C22×D4—24no—
740C22×D4—42no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—44no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—82no—
751C22×D4—82no—
752C22×D4C2411yescharacteristic
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C23×C4—28no—
783C23×C4—24no—
784C23×C4—42no—
785C23×C4—42no—
786C23×C4—44no—
787C23×C4—82no—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C4⋊Q8—44no—
810C4⋊Q8—42no—
811#127—42no—
812#127—44no—
813#127—48no—
814#127—84no—
815#126—48no—
816#124—48no—
817#124—48no—
818#124—48no—
819#124—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—48no—
825#123—48no—
826#123—44no—
827#123—44no—
828#123—48no—
829#123—48no—
830#123—48no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—48no—
836C22⋊Q8—48no—
837C22⋊Q8—44no—
838#121—28no—
839#121—28no—
840#121—24no—
841#121—28no—
842#121—24no—
843#121—28no—
844#121—28no—
845#121—48no—
846#121—44no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—44no—
858#121—44no—
859#121—44no—
860#121—44no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—48no—
865#121—44no—
866#121—48no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—82no—
871#121—84no—
872#121—82no—
873#120—48no—
874#120—48no—
875#120—44no—
876#120—44no—
877#120—48no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882#120—48no—
883#120—84no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—216no—
889C4×D4—48no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—44no—
902#117—44no—
903#117—44no—
904#117—44no—
905#117—44no—
906#117—82no—
907#117—84no—
908C2×C4⋊C4—28no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—42no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—82no—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C22⋊C4—24no—
961C2×C22⋊C4—24no—
962C2×C22⋊C4—28no—
963C2×C22⋊C4—48no—
964C2×C22⋊C4—48no—
965C2×C22⋊C4—44no—
966C2×C22⋊C4—44no—
967C2×C22⋊C4—44no—
968C2×C22⋊C4—44no—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—42no—
1043C2×C42—42no—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099C24—22no—
1100C24—24no—
1101C24—24no—
1102C24—24no—
1103C24—24no—
1104C24—22no—
1105C24—22no—
1106C24—28no—
1107C24—41no—
1108C24—41no—
1109C24—42no—
1110C24—42no—
1111C24—41no—
1112C24—42no—
1113C24—41no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24C2512yes—
1121C24C2512yes—
1122C24C2512yes—
1123C24C2514yes—
1124C24C2512yes—
1125C24C2512yes—
1126C24C2511yescharacteristic
1127#41—816no—
1128#41—832no—
1129C2×Q8—42no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×D4—24no—
1139C2×D4—28no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—416no—
1165C2×D4—41no—
1166C2×D4—42no—
1167C2×D4—41no—
1168C2×D4—44no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—41no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—816no—
1229C2×D4—816no—
1230C2×D4—832no—
1231C2×D4—816no—
1232C2×D4H(5,𝔽2)14yes—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—88no—
1294C22×C4—816no—
1295C22×C4H(5,𝔽2)14yes—
1296C22×C4H(5,𝔽2)14yes—
1297C22×C4H(5,𝔽2)14yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—41no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—41no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—28no—
1442C42—24no—
1443C42—42no—
1444C42—41no—
1445C42—41no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—24no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—24no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—48no—
1496C23—48no—
1497C23—48no—
1498C23—44no—
1499C23—44no—
1500C23—48no—
1501C23—44no—
1502C23—82no—
1503C23—84no—
1504C23—82no—
1505C23—84no—
1506C23—82no—
1507C23—82no—
1508C23—84no—
1509C23—88no—
1510C23—88no—
1511C23—88no—
1512C23—88no—
1513C23—88no—
1514C23—164no—
1515C23—164no—
1516C23C2×H(5,𝔽2)14yes—
1517C23C2×H(5,𝔽2)12yes—
1518C23C2×H(5,𝔽2)12yes—
1519C23C2×H(5,𝔽2)12yes—
1520C23C2611yescharacteristic
1521Q8—84no—
1522Q8—88no—
1523Q8—162no—
1524D4—28no—
1525D4—48no—
1526D4—44no—
1527D4—48no—
1528D4—416no—
1529D4—48no—
1530D4—44no—
1531D4—48no—
1532D4—82no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—84no—
1539D4—84no—
1540D4—88no—
1541D4—88no—
1542D4—88no—
1543D4—88no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547D4—88no—
1548D4—164no—
1549D4—164no—
1550D4—164no—
1551D4—164no—
1552D4—162no—
1553D4—164no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—28no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—88no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—82no—
1628C2×C4—82no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4C2×H(5,𝔽2)14yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4#58512yes—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—44no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—42no—
1689C22—816no—
1690C22—88no—
1691C22—1616no—
1692C22#354914yes—
1693C22C22×H(5,𝔽2)11yescharacteristic
1694C22C22×H(5,𝔽2)11yescharacteristic
1695C22C22×H(5,𝔽2)11yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22H(7,𝔽2)11yescharacteristic
1699C222−1+611yescharacteristic
1700C4—22no—
1701C4—22no—
1702C4—22no—
1703C4—24no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—44no—
1708C4—42no—
1709C4—44no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—44no—
1716C4—44no—
1717C4—41no—
1718C4—41no—
1719C4—44no—
1720C4—42no—
1721C4#353414yes—
1722C2—24no—
1723C2—44no—
1724C2—82no—
1725C2—82no—
1726C2—82no—
1727C2—84no—
1728C2—82no—
1729C2C2×#353411yescharacteristic
1730C2C2×#354911yescharacteristic
1731C2#6287811yescharacteristic
1732C2#6289211yescharacteristic
1733C2#6290511yescharacteristic
1734C2#6291411yescharacteristic
1735C2#6292511yescharacteristic
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. #59808C2semidirect
2. #59303C2semidirect
3. #56606C2semidirect
4. #55697C2semidirect
5. #54486C2semidirect
6. #54011C2semidirect
7. #53071C2semidirect
8. #52957C2semidirect
9. #52530C2semidirect
10. #45088C2semidirect
11. #44887C2semidirect
12. #42923C2semidirect
13. #42578C2semidirect
14. #42548C2semidirect
15. #42420C2semidirect
16. #40512C2semidirect
17. #39504C2semidirect
18. #39359C2semidirect
19. #37948C2semidirect
20. #37839C2semidirect
21. #37673C2semidirect
22. #37650C2semidirect
23. #37440C2semidirect
24. #36710C2semidirect
25. #36160C2semidirect
26. D4×#121C2semidirect
27. #35005C2semidirect
28. C2×#2422C2semidirect
29. #34575C2semidirect
30. C2×#555C22semidirect
31. C2×#547C22semidirect
32. C2×#546C22semidirect
34. C2×D42C22semidirect
35. C2×#538C22semidirect
36. C2×#537C22semidirect
38. C2×#525C22semidirect
39. C22×#123C22semidirect
43. #2857C22semidirect
46. #2847C22semidirect
47. #2847C22semidirect
48. #2835C22semidirect
49. #2832C22semidirect
50. #2832C22semidirect
51. #2828C22semidirect
52. #2828C22semidirect
53. #2824C22semidirect
54. #2824C22semidirect
55. #2819C22semidirect
56. #2813C22semidirect
57. #2813C22semidirect
58. #2813C22semidirect
59. #2812C22semidirect
60. #2809C22semidirect
61. #2808C22semidirect
62. #2795C22semidirect
63. #2795C22semidirect
64. #2784C22semidirect
65. #2783C22semidirect
66. #2782C22semidirect
67. #2782C22semidirect
68. #2781C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2744C22semidirect
72. #2736C22semidirect
73. #2723C22semidirect
74. #2714C22semidirect
75. #2712C22semidirect
76. #2710C22semidirect
77. #2706C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2696C22semidirect
81. #2696C22semidirect
82. #2696C22semidirect
83. #2696C22semidirect
84. #2696C22semidirect
85. #2696C22semidirect
86. #2692C22semidirect
87. #2686C22semidirect
88. #2684C22semidirect
89. #2684C22semidirect
90. #2683C22semidirect
91. #2682C22semidirect
92. #2681C22semidirect
93. #2681C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2675C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2672C22semidirect
106. #2671C22semidirect
107. #2670C22semidirect
108. #2669C22semidirect
109. #2669C22semidirect
110. #2663C22semidirect
111. #2663C22semidirect
112. #2662C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
116. #2661C22semidirect
117. #2659C22semidirect
119. #2639C22semidirect
120. #2639C22semidirect
121. #2636C22semidirect
122. #2628C22semidirect
123. #2623C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
127. #2618C22semidirect
129. #2617C22semidirect
130. #2617C22semidirect
131. #2617C22semidirect
132. #2617C22semidirect
133. #2615C22semidirect
134. #2615C22semidirect
135. #2613C22semidirect
136. #2609C22semidirect
137. #2591C22semidirect
138. #2591C22semidirect
139. #2574C22semidirect
140. #2571C22semidirect
141. #2563C22semidirect
142. #2563C22semidirect
143. #2559C22semidirect
144. #2557C22semidirect
145. #2544C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2539C22semidirect
149. #2537C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
153. #2535C22semidirect
154. #2534C22semidirect
155. #2508C22semidirect
156. #2500C22semidirect
157. #2500C22semidirect
158. #2500C22semidirect
159. #2497C22semidirect
160. #2497C22semidirect
161. #2497C22semidirect
162. #2497C22semidirect
163. #2496C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
166. #2488C22semidirect
167. #2488C22semidirect
168. #2487C22semidirect
169. #2486C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2476C22semidirect
173. #2474C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2464C22semidirect
178. #2459C22semidirect
179. #2452C22semidirect
180. #2452C22semidirect
181. #2449C22semidirect
182. #2445C22semidirect
183. #2440C22semidirect
184. #2439C22semidirect
185. #2437C22semidirect
186. #2433C22semidirect
187. #2430C22semidirect
188. #2430C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
197. #2422C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2420C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2411C22semidirect
213. #2411C22semidirect
214. #2411C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2405C22semidirect
223. #2404C22semidirect
224. #2404C22semidirect
225. #2403C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. C2×#397C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
231. C2×#394C22semidirect
232. #2363C22semidirect
233. #2361C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
239. #2352C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. D4×C22⋊C4C22semidirect
243. #2325C22semidirect
245. #2324C22semidirect
246. #2313C22semidirect
247. #2311C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
253. C2×#389C22semidirect
254. C2×#385C22semidirect
255. C2×#384C22semidirect
256. #2280C22semidirect
257. C2×#380C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598082
#593032
#566062
#556972
#544862
#540112
#530712
#529572
#525302
#450882
#448872
#429232
#425782
#425482
#424202
#405122
#395042
#393592
#379482
#378392
#376732
#376502
#374402
#367102
#361602
D4×#1212
#350052
C2×#24222
#345752