Finite Group Databasebeta

← #7683686

Subgroups — #7683686

Order 512.

5888 conjugacy classes of subgroups.

The subgroup lattice has 1661 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59921C212yesmaximal, complemented
2#59836C212yesmaximal, complemented
3#59820C212yesmaximal, complemented
4#59744C212yesmaximal, complemented
5#59548C212yesmaximal, complemented
6#59480C214yesmaximal, complemented
7#59408C212yesmaximal, complemented
8#59352C212yesmaximal, complemented
9#59267C212yesmaximal, complemented
10#59045C214yesmaximal, complemented
11#45315C211yesmaximal, characteristic, complemented
12#45251C211yesmaximal, characteristic, complemented
13#45088C211yesmaximal, characteristic, complemented
14#45045C212yesmaximal, complemented
15#44899C212yesmaximal, complemented
16#44870C211yesmaximal, characteristic, complemented
17#44378C212yesmaximal, complemented
18#44241C212yesmaximal, complemented
19#44178C214yesmaximal, complemented
20#43478C212yesmaximal, complemented
21#43442C212yesmaximal, complemented
22#43391C214yesmaximal, complemented
23#35591C212yesmaximal, complemented
24#35549C212yesmaximal, complemented
25#35524C212yesmaximal, complemented
26#34977C211yesmaximal, characteristic, complemented
27#34935C211yesmaximal, characteristic, complemented
28#34909C211yesmaximal, characteristic, complemented
29#34301C212yesmaximal, complemented
30#34290C212yesmaximal, complemented
31#34269C212yesmaximal, complemented
32C2×#553C2212yes—
33C2×#551C2214yescomplemented
34C2×D42C2212yes—
35C2×#535C2212yes—
36C2×#532C2211yescharacteristic, complemented
37C2×#525C2212yescomplemented
38C2×#518C2212yescomplemented
39C2×C4×#41C2211yescharacteristic, complemented
40C2×C4×#41C2211yescharacteristic, complemented
41C22×C4×D4C2211yescharacteristic
42#2797C2214yescomplemented
43#2789C2212yescomplemented
44#2784C2214yescomplemented
45#2782C2212yescomplemented
46#2778C2214yescomplemented
47#2760C2212yes—
48#2753C2214yescomplemented
49#2752C2212yescomplemented
50#2751C2214yescomplemented
51#2749C2214yescomplemented
52#2749C2214yescomplemented
53#2736C2212yescomplemented
54#2732C2214yescomplemented
55#2730C2214yescomplemented
56#2724C2212yescomplemented
57#2714C2214yescomplemented
58#2711C2214yescomplemented
59#2710C2214yescomplemented
60#2705C2214yescomplemented
61#2703C2214yescomplemented
62#2696C2214yescomplemented
63#2685C2214yescomplemented
64#2685C2214yescomplemented
65#2679C2212yes—
66#2678C2214yescomplemented
67#2673C2214yescomplemented
68#2670C2212yes—
69#2669C2214yes—
70#2610C2212yescomplemented
71#2610C2212yescomplemented
72#2609C2212yescomplemented
73#2609C2212yescomplemented
74#2607C2212yescomplemented
75#2600C2212yescomplemented
76#2600C2212yescomplemented
77#2600C2214yescomplemented
78#2600C2212yescomplemented
79#2599C2211yescharacteristic, complemented
80#2599C2211yescharacteristic, complemented
81#2598C2211yescharacteristic
82#2598C2211yescharacteristic, complemented
83#2596C2214yescomplemented
84#2595C2214yescomplemented
85#2593C2212yescomplemented
86#2581C2211yescharacteristic, complemented
87#2580C2211yescharacteristic, complemented
88#2576C2214yescomplemented
89#2575C2214yescomplemented
90#2574C2214yescomplemented
91#2567C2211yescharacteristic, complemented
92#2566C2214yescomplemented
93#2564C2214yescomplemented
94#2563C2211yescharacteristic, complemented
95#2559C2214yescomplemented
96#2558C2214yescomplemented
97#2556C2214yescomplemented
98#2555C2212yes—
99#2554C2214yescomplemented
100#2553C2214yescomplemented
101#2553C2214yescomplemented
102#2548C2211yescharacteristic, complemented
103#2543C2214yescomplemented
104#2541C2211yescharacteristic
105#2539C2214yescomplemented
106#2539C2214yescomplemented
107#2538C2212yescomplemented
108#2537C2212yescomplemented
109#2536C2211yescharacteristic, complemented
110#2536C2212yescomplemented
111#2535C2211yescharacteristic
112#2535C2212yescomplemented
113#2534C2212yescomplemented
114#2534C2214yescomplemented
115#2534C2212yescomplemented
116#2534C2214yescomplemented
117#2525C2214yescomplemented
118#2521C2214yescomplemented
119#2518C2214yescomplemented
120#2512C2212yescomplemented
121#2512C2212yescomplemented
122#2510C2214yescomplemented
123#2510C2214yescomplemented
124#2508C2212yescomplemented
125#2506C2212yescomplemented
126#2501C2212yescomplemented
127#2500C2212yescomplemented
128#2497C2212yescomplemented
129#2497C2214yescomplemented
130#2494C2212yescomplemented
131#2490C2212yescomplemented
132#2490C2212yescomplemented
133#2490C2214yescomplemented
134#2487C2212yescomplemented
135#2486C2211yescharacteristic, complemented
136#2486C2211yescharacteristic, complemented
137#2485C2212yescomplemented
138#2479C2214yescomplemented
139#2472C2214yescomplemented
140#2471C2214yescomplemented
141#2471C2214yescomplemented
142#2471C2214yescomplemented
143#2468C2214yescomplemented
144#2468C2214yescomplemented
145#2467C2214yescomplemented
146#2467C2214yescomplemented
147#2459C2214yescomplemented
148#2457C2214yescomplemented
149#2457C2214yescomplemented
150#2456C2214yescomplemented
151#2456C2214yescomplemented
152#2454C2214yescomplemented
153#2454C2212yescomplemented
154#2452C2212yescomplemented
155#2445C2212yes—
156#2445C2214yescomplemented
157#2445C2212yescomplemented
158#2445C2214yescomplemented
159#2441C2212yescomplemented
160#2439C2212yescomplemented
161#2437C2212yescomplemented
162#2433C2214yes—
163#2433C2212yes—
164#2431C2212yescomplemented
165#2428C2212yes—
166#2428C2212yes—
167#2425C2214yescomplemented
168#2424C2214yescomplemented
169#2424C2214yescomplemented
170#2422C2212yescomplemented
171#2420C2214yescomplemented
172#2420C2212yescomplemented
173#2418C2214yescomplemented
174#2418C2214yescomplemented
175#2414C2212yes—
176#2414C2212yescomplemented
177#2414C2212yescomplemented
178#2414C2212yescomplemented
179#2412C2214yescomplemented
180#2411C2214yescomplemented
181#2411C2214yescomplemented
182#2410C2214yescomplemented
183#2408C2211yescharacteristic
184#2408C2211yescharacteristic
185#2408C2212yescomplemented
186#2407C2214yescomplemented
187#2407C2212yescomplemented
188#2404C2214yescomplemented
189#2403C2212yes—
190#2395C2211yescharacteristic, complemented
191#2395C2211yescharacteristic, complemented
192#2392C2212yescomplemented
193#2392C2212yescomplemented
194#2388C2211yescharacteristic
195#2388C2212yescomplemented
196#2388C2211yescharacteristic, complemented
197#2388C2212yescomplemented
198#2373C2214yescomplemented
199#2370C2212yescomplemented
200#2368C2214yescomplemented
201#2367C2214yescomplemented
202#2367C2214yescomplemented
203#2366C2212yes—
204#2366C2214yescomplemented
205#2366C2214yescomplemented
206#2364C2214yescomplemented
207#2363C2212yes—
208#2363C2212yes—
209#2363C2212yescomplemented
210#2363C2214yescomplemented
211#2361C2212yescomplemented
212#2359C2214yescomplemented
213#2358C2214yescomplemented
214#2358C2214yescomplemented
215#2358C2214yescomplemented
216#2358C2214yescomplemented
217#2358C2214yescomplemented
218#2358C2214yescomplemented
219#2357C2214yescomplemented
220#2354C2212yescomplemented
221#2354C2212yescomplemented
222#2353C2214yescomplemented
223#2352C2212yescomplemented
224#2349C2212yescomplemented
225#2347C2212yescomplemented
226#2344C2212yescomplemented
227D4×C22⋊C4C2212yes—
228D4×C22⋊C4C2214yescomplemented
229D4×C22⋊C4C2214yescomplemented
230D4×C22⋊C4C2212yescomplemented
231#2335C2214yescomplemented
232#2333C2214yescomplemented
233#2330C2212yescomplemented
234#2328C2212yes—
235#2325C2214yescomplemented
236#2324C2212yes—
237#2324C2212yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2321C2214yescomplemented
241#2319C2212yescomplemented
242#2311C2212yescomplemented
243C4×#127C2212yescomplemented
244C4×#126C2214yescomplemented
245C4×#124C2212yescomplemented
246C4×C22⋊Q8C2212yescomplemented
247C4×#121C2212yes—
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#120C2214yescomplemented
255#2296C2212yescomplemented
256#2293C2214yescomplemented
257C2×#390C2212yescomplemented
258#2290C2212yescomplemented
259#2290C2212yescomplemented
260C2×#386C2214yescomplemented
261#2285C2211yescharacteristic, complemented
262#2283C2211yescharacteristic, complemented
263#2280C2212yescomplemented
264#2275C2212yescomplemented
265#2274C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C22×#41C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C23×D4C2314yes—
273C24×C4C2312yes—
274#553—216no—
275#551—416no—
276D42—216no—
277#535—216no—
278#532—44no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×#127C2312yes—
281C2×#127C2314yes—
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#125C2312yes—
288C2×#125C2314yes—
289C2×#124C2314yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292#525—48no—
293C2×#123C2314yes—
294C2×#123C2312yes—
295C2×#123C2312yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×#120C2314yes—
322C2×#120C2312yes—
323C2×#120C2312yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327#518—48no—
328C4×#41—44no—
329C4×#41—44no—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×D4—44no—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2314yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2314yes—
376C2×#117C2314yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2311yescharacteristic
397#400C2311yescharacteristic
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2311yescharacteristic
402#399C2311yescharacteristic
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2311yescharacteristic
409#398C2311yescharacteristic
410#398C2312yes—
411#398C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2311yescharacteristic
418#397C2311yescharacteristic
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#395C2312yes—
435#395C2312yes—
436#395C2311yescharacteristic
437#395C2311yescharacteristic
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2311yescharacteristic
442#394C2311yescharacteristic
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#393C2312yes—
466#393C2312yes—
467#393C2314yes—
468#393C2314yes—
469#393C2311yescharacteristic
470#393C2311yescharacteristic
471#392C2311yescharacteristic
472#392C2311yescharacteristic
473#392C2312yes—
474#392C2312yes—
475#392C2312yes—
476#392C2314yes—
477#392C2312yes—
478#392C2314yes—
479#392C2314yes—
480#392C2312yes—
481#392C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2312yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#383C2314yes—
660#383C2311yescharacteristic
661#383C2311yescharacteristic
662#382C2312yes—
663#382C2314yes—
664#382C2312yes—
665#382C2311yescharacteristic
666#382C2311yescharacteristic
667#382C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2312yes—
671#381C2312yes—
672#381C2312yes—
673#381C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2311yescharacteristic
688#380C2312yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#379C2314yes—
693#379C2314yes—
694#379C2312yes—
695#379C2314yes—
696#379C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2311yescharacteristic
739#376C2312yes—
740#376C2312yes—
741C2×#95C2314yes—
742C2×#95C2314yes—
743C43C2312yes—
744C25C2412yes—
745C25C2414yes—
746C2×#41—24no—
747C2×#41—28no—
748C2×#41—42no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—42no—
752C2×#41—84no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C22×D4—28no—
757C22×D4—28no—
758C22×D4—216no—
759C22×D4—28no—
760C22×D4—42no—
761C22×D4—44no—
762C22×D4—48no—
763C22×D4—84no—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2411yescharacteristic
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C23×C4—44no—
787C23×C4—44no—
788C23×C4—44no—
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2414yes—
809C23×C4C2414yes—
810C4⋊Q8—42no—
811#127—216no—
812#127—28no—
813#127—42no—
814#127—44no—
815#126—216no—
816#126—48no—
817#126—48no—
818#125—28no—
819#125—84no—
820#124—28no—
821#124—216no—
822#124—44no—
823#123—216no—
824#123—48no—
825#123—48no—
826#123—44no—
827#123—44no—
828#123—48no—
829#123—84no—
830#123—84no—
831C22⋊Q8—216no—
832C22⋊Q8—28no—
833C22⋊Q8—84no—
834#121—28no—
835#121—28no—
836#121—216no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—216no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—44no—
845#121—84no—
846#121—84no—
847#121#41116yescomplemented
848#120—216no—
849#120—216no—
850#120—216no—
851#120—216no—
852#120—44no—
853#120—44no—
854#120—48no—
855#120—84no—
856#120—84no—
857C4×Q8—42no—
858C4×Q8—42no—
859C4×Q8—42no—
860C4×Q8—42no—
861C4×D4—216no—
862C4×D4—28no—
863C4×D4—28no—
864C4×D4—28no—
865C4×D4—28no—
866C4×D4—28no—
867C4×D4—28no—
868C4×D4—44no—
869C4×D4—42no—
870C4×D4—42no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—42no—
876C4×D4—42no—
877C4×D4—42no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4—42no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—48no—
885C4×D4—48no—
886C4×D4—48no—
887C4×D4—48no—
888C4×D4—48no—
889C4×D4—48no—
890C4×D4—48no—
891C4×D4—84no—
892C4×D4—84no—
893C4×D4—84no—
894#117—28no—
895#117—28no—
896#117—28no—
897#117—42no—
898#117—42no—
899#117—42no—
900#117—42no—
901#117—48no—
902#117—48no—
903#117—44no—
904#117—44no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—42no—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C22⋊C4—44no—
951C2×C22⋊C4—48no—
952C2×C22⋊C4—48no—
953C2×C22⋊C4—48no—
954C2×C22⋊C4—48no—
955C2×C22⋊C4—84no—
956C2×C22⋊C4—84no—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C42—24no—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—44no—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105C24—28no—
1106C24—24no—
1107C24—28no—
1108C24—28no—
1109C24—42no—
1110C24—44no—
1111C24—44no—
1112C24—42no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24C2514yes—
1118C24C2511yescharacteristic
1119C24C2511yescharacteristic
1120C24C2512yes—
1121C24C2514yes—
1122C24C2511yescharacteristic
1123#41—416no—
1124#41—416no—
1125#41—816no—
1126C2×Q8—24no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×Q8—44no—
1131C2×Q8—42no—
1132C2×Q8H(5,𝔽2)14yes—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—28no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—22no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—24no—
1161C2×D4—432no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—42no—
1168C2×D4—41no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—41no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—416no—
1196C2×D4—832no—
1197C2×D4C2×#4118yes—
1198C2×D4C2×#41116yes—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—28no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—816no—
1256C22×C4C2×#4118yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2514yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4C2×#4118yes—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4C2×#41116yes—
1393C42—28no—
1394C42—28no—
1395C42—24no—
1396C42—24no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—24no—
1408C42—42no—
1409C42—42no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—42no—
1418C42H(5,𝔽2)14yes—
1419C23—22no—
1420C23—22no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—24no—
1426C23—21no—
1427C23—21no—
1428C23—24no—
1429C23—22no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—24no—
1438C23—22no—
1439C23—24no—
1440C23—24no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—24no—
1447C23—21no—
1448C23—22no—
1449C23—24no—
1450C23—24no—
1451C23—22no—
1452C23—48no—
1453C23—416no—
1454C23—416no—
1455C23—84no—
1456C23—88no—
1457C23—88no—
1458C23—88no—
1459C23—88no—
1460C23—88no—
1461C23—84no—
1462C23—164no—
1463C23—164no—
1464C23C22×#4118yes—
1465C23C22×#4114yes—
1466C23#58512yes—
1467C23C2611yescharacteristic
1468Q8—44no—
1469Q8—44no—
1470Q8—84no—
1471D4—216no—
1472D4—416no—
1473D4—416no—
1474D4—416no—
1475D4—44no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—44no—
1482D4—48no—
1483D4—88no—
1484D4—84no—
1485D4—88no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489D4—84no—
1490D4—88no—
1491D4—84no—
1492D4—88no—
1493C2×C4—28no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—216no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—84no—
1560C2×C4—82no—
1561C2×C4—82no—
1562C2×C4—88no—
1563C2×C4—88no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—88no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—164no—
1571C2×C4—164no—
1572C2×C4C22×#4118yes—
1573C2×C4C22×#4114yes—
1574C2×C4C22×#4114yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×H(5,𝔽2)12yes—
1578C2×C4C2×H(5,𝔽2)12yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C22—24no—
1582C22—28no—
1583C22—24no—
1584C22—24no—
1585C22—28no—
1586C22—22no—
1587C22—24no—
1588C22—28no—
1589C22—42no—
1590C22—44no—
1591C22—42no—
1592C22—44no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22—44no—
1599C22—41no—
1600C22—42no—
1601C22—42no—
1602C22—44no—
1603C22—44no—
1604C22—44no—
1605C22—42no—
1606C22—42no—
1607C22—44no—
1608C22—41no—
1609C22—41no—
1610C22—44no—
1611C22—41no—
1612C22—44no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—44no—
1617C22—816no—
1618C22—1616no—
1619C22C23×#4112yes—
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C2×#58511yescharacteristic
1623C22H(7,𝔽2)12yes—
1624C4—28no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—24no—
1631C4—44no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4—44no—
1636C4—42no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—44no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4#348114yes—
1649C2—42no—
1650C2—48no—
1651C2—44no—
1652C2—81no—
1653C2—81no—
1654C2—84no—
1655C2C2×#348111yescharacteristic
1656C2#6281811yescharacteristic
1657C2#6287411yescharacteristic
1658C2#6298612yes—
1659C2#6299012yes—
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. #59921C2semidirect
2. #59836C2semidirect
3. #59820C2semidirect
4. #59744C2semidirect
5. #59548C2semidirect
6. #59480C2semidirect
7. #59408C2semidirect
8. #59352C2semidirect
9. #59267C2semidirect
10. #59045C2semidirect
11. #45315C2semidirect
12. #45251C2semidirect
13. #45088C2semidirect
14. #45045C2semidirect
15. #44899C2semidirect
16. #44870C2semidirect
17. #44378C2semidirect
18. #44241C2semidirect
19. #44178C2semidirect
20. #43478C2semidirect
21. #43442C2semidirect
22. #43391C2semidirect
23. #35591C2semidirect
24. #35549C2semidirect
25. #35524C2semidirect
26. #34977C2semidirect
27. #34935C2semidirect
28. #34909C2semidirect
29. #34301C2semidirect
30. #34290C2semidirect
31. #34269C2semidirect
33. C2×#551C22semidirect
36. C2×#532C22semidirect
37. C2×#525C22semidirect
38. C2×#518C22semidirect
39. C2×C4×#41C22semidirect
40. C2×C4×#41C22semidirect
42. #2797C22semidirect
43. #2789C22semidirect
44. #2784C22semidirect
45. #2782C22semidirect
46. #2778C22semidirect
48. #2753C22semidirect
49. #2752C22semidirect
50. #2751C22semidirect
51. #2749C22semidirect
52. #2749C22semidirect
53. #2736C22semidirect
54. #2732C22semidirect
55. #2730C22semidirect
56. #2724C22semidirect
57. #2714C22semidirect
58. #2711C22semidirect
59. #2710C22semidirect
60. #2705C22semidirect
61. #2703C22semidirect
62. #2696C22semidirect
63. #2685C22semidirect
64. #2685C22semidirect
66. #2678C22semidirect
67. #2673C22semidirect
70. #2610C22semidirect
71. #2610C22semidirect
72. #2609C22semidirect
73. #2609C22semidirect
74. #2607C22semidirect
75. #2600C22semidirect
76. #2600C22semidirect
77. #2600C22semidirect
78. #2600C22semidirect
79. #2599C22semidirect
80. #2599C22semidirect
82. #2598C22semidirect
83. #2596C22semidirect
84. #2595C22semidirect
85. #2593C22semidirect
86. #2581C22semidirect
87. #2580C22semidirect
88. #2576C22semidirect
89. #2575C22semidirect
90. #2574C22semidirect
91. #2567C22semidirect
92. #2566C22semidirect
93. #2564C22semidirect
94. #2563C22semidirect
95. #2559C22semidirect
96. #2558C22semidirect
97. #2556C22semidirect
99. #2554C22semidirect
100. #2553C22semidirect
101. #2553C22semidirect
102. #2548C22semidirect
103. #2543C22semidirect
105. #2539C22semidirect
106. #2539C22semidirect
107. #2538C22semidirect
108. #2537C22semidirect
109. #2536C22semidirect
110. #2536C22semidirect
112. #2535C22semidirect
113. #2534C22semidirect
114. #2534C22semidirect
115. #2534C22semidirect
116. #2534C22semidirect
117. #2525C22semidirect
118. #2521C22semidirect
119. #2518C22semidirect
120. #2512C22semidirect
121. #2512C22semidirect
122. #2510C22semidirect
123. #2510C22semidirect
124. #2508C22semidirect
125. #2506C22semidirect
126. #2501C22semidirect
127. #2500C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2494C22semidirect
131. #2490C22semidirect
132. #2490C22semidirect
133. #2490C22semidirect
134. #2487C22semidirect
135. #2486C22semidirect
136. #2486C22semidirect
137. #2485C22semidirect
138. #2479C22semidirect
139. #2472C22semidirect
140. #2471C22semidirect
141. #2471C22semidirect
142. #2471C22semidirect
143. #2468C22semidirect
144. #2468C22semidirect
145. #2467C22semidirect
146. #2467C22semidirect
147. #2459C22semidirect
148. #2457C22semidirect
149. #2457C22semidirect
150. #2456C22semidirect
151. #2456C22semidirect
152. #2454C22semidirect
153. #2454C22semidirect
154. #2452C22semidirect
156. #2445C22semidirect
157. #2445C22semidirect
158. #2445C22semidirect
159. #2441C22semidirect
160. #2439C22semidirect
161. #2437C22semidirect
164. #2431C22semidirect
167. #2425C22semidirect
168. #2424C22semidirect
169. #2424C22semidirect
170. #2422C22semidirect
171. #2420C22semidirect
172. #2420C22semidirect
173. #2418C22semidirect
174. #2418C22semidirect
176. #2414C22semidirect
177. #2414C22semidirect
178. #2414C22semidirect
179. #2412C22semidirect
180. #2411C22semidirect
181. #2411C22semidirect
182. #2410C22semidirect
185. #2408C22semidirect
186. #2407C22semidirect
187. #2407C22semidirect
188. #2404C22semidirect
190. #2395C22semidirect
191. #2395C22semidirect
192. #2392C22semidirect
193. #2392C22semidirect
195. #2388C22semidirect
196. #2388C22semidirect
197. #2388C22semidirect
198. #2373C22semidirect
199. #2370C22semidirect
200. #2368C22semidirect
201. #2367C22semidirect
202. #2367C22semidirect
204. #2366C22semidirect
205. #2366C22semidirect
206. #2364C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2361C22semidirect
212. #2359C22semidirect
213. #2358C22semidirect
214. #2358C22semidirect
215. #2358C22semidirect
216. #2358C22semidirect
217. #2358C22semidirect
218. #2358C22semidirect
219. #2357C22semidirect
220. #2354C22semidirect
221. #2354C22semidirect
222. #2353C22semidirect
223. #2352C22semidirect
224. #2349C22semidirect
225. #2347C22semidirect
226. #2344C22semidirect
228. D4×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. D4×C22⋊C4C22semidirect
231. #2335C22semidirect
232. #2333C22semidirect
233. #2330C22semidirect
235. #2325C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2321C22semidirect
241. #2319C22semidirect
242. #2311C22semidirect
243. C4×#127C22semidirect
244. C4×#126C22semidirect
245. C4×#124C22semidirect
246. C4×C22⋊Q8C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#120C22semidirect
255. #2296C22semidirect
256. #2293C22semidirect
257. C2×#390C22semidirect
258. #2290C22semidirect
259. #2290C22semidirect
260. C2×#386C22semidirect
261. #2285C22semidirect
262. #2283C22semidirect
263. #2280C22semidirect
264. #2275C22semidirect
265. #2274C22semidirect
266. C4×#117C22semidirect
847. #121#41semidirect

Maximal subgroups

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

subgroupindex
#599212
#598362
#598202
#597442
#595482
#594802
#594082
#593522
#592672
#590452
#453152
#452512
#450882
#450452
#448992
#448702
#443782
#442412
#441782
#434782
#434422
#433912
#355912
#355492
#355242
#349772
#349352
#349092
#343012
#342902
#342692