Finite Group Databasebeta

← #7683643

Subgroups — #7683643

Order 512.

5967 conjugacy classes of subgroups.

The subgroup lattice has 1675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60040C212yesmaximal, complemented
2#59628C211yesmaximal, characteristic, complemented
3#59518C214yesmaximal, complemented
4#59420C212yesmaximal, complemented
5#59403C212yesmaximal, complemented
6#59378C211yesmaximal, characteristic, complemented
7#59223C214yesmaximal, complemented
8#59201C211yesmaximal, characteristic, complemented
9#59173C212yesmaximal, complemented
10#59089C212yesmaximal, complemented
11#59026C212yesmaximal, complemented
12#58997C211yesmaximal, characteristic, complemented
13#45367C212yesmaximal, complemented
14#45360C212yesmaximal, complemented
15#45024C212yesmaximal, complemented
16#44929C212yesmaximal, complemented
17#44325C212yesmaximal, complemented
18#44241C212yesmaximal, complemented
19#44157C214yesmaximal, complemented
20#43473C212yesmaximal, complemented
21#43419C212yesmaximal, complemented
22#43377C214yesmaximal, complemented
23#35589C212yesmaximal, complemented
24#35546C212yesmaximal, complemented
25#35524C212yesmaximal, complemented
26#34977C211yesmaximal, characteristic, complemented
27#34935C211yesmaximal, characteristic, complemented
28#34875C211yesmaximal, characteristic, complemented
29#34306C212yesmaximal, complemented
30#34290C212yesmaximal, complemented
31#34204C212yesmaximal, complemented
32C2×#559C2212yescomplemented
33C2×#555C2212yes—
34C2×D42C2212yes—
35C2×D42C2212yes—
36C2×#532C2211yescharacteristic, complemented
37C2×#525C2212yescomplemented
38C22×#121C2212yes—
39C2×#518C2212yescomplemented
40C2×C4×#41C2211yescharacteristic, complemented
41C22×C4×D4C2211yescharacteristic, complemented
42C22×#117C2211yescharacteristic, complemented
43#2800C2214yescomplemented
44#2790C2214yescomplemented
45#2788C2214yescomplemented
46#2784C2214yescomplemented
47#2781C2214yescomplemented
48#2778C2214yescomplemented
49#2765C2214yescomplemented
50#2760C2212yescomplemented
51#2756C2214yescomplemented
52#2756C2214yescomplemented
53#2749C2214yescomplemented
54#2736C2212yescomplemented
55#2712C2212yescomplemented
56#2709C2212yescomplemented
57#2703C2214yescomplemented
58#2699C2214yescomplemented
59#2697C2212yes—
60#2697C2212yescomplemented
61#2697C2214yescomplemented
62#2692C2214yescomplemented
63#2686C2214yescomplemented
64#2685C2214yescomplemented
65#2684C2214yescomplemented
66#2678C2214yescomplemented
67#2676C2214yescomplemented
68#2675C2212yes—
69#2670C2214yescomplemented
70#2669C2212yes—
71#2610C2212yescomplemented
72#2610C2212yescomplemented
73#2609C2212yescomplemented
74#2609C2212yescomplemented
75#2603C2214yescomplemented
76#2602C2214yescomplemented
77#2600C2214yescomplemented
78#2600C2212yescomplemented
79#2599C2212yescomplemented
80#2598C2212yescomplemented
81#2594C2214yescomplemented
82#2579C2211yescharacteristic, complemented
83#2579C2211yescharacteristic, complemented
84#2578C2214yescomplemented
85#2576C2214yescomplemented
86#2576C2214yescomplemented
87#2574C2214yescomplemented
88#2572C2214yescomplemented
89#2572C2214yescomplemented
90#2567C2211yescharacteristic, complemented
91#2563C2211yescharacteristic, complemented
92#2561C2214yescomplemented
93#2560C2214yescomplemented
94#2559C2214yescomplemented
95#2555C2214yescomplemented
96#2554C2214yescomplemented
97#2549C2214yescomplemented
98#2548C2211yescharacteristic, complemented
99#2543C2214yescomplemented
100#2541C2211yescharacteristic
101#2538C2214yescomplemented
102#2538C2212yescomplemented
103#2537C2212yescomplemented
104#2536C2212yescomplemented
105#2535C2212yescomplemented
106#2534C2211yescharacteristic
107#2534C2212yescomplemented
108#2534C2214yescomplemented
109#2534C2214yescomplemented
110#2534C2211yescharacteristic, complemented
111#2534C2212yescomplemented
112#2531C2214yescomplemented
113#2526C2214yescomplemented
114#2523C2212yescomplemented
115#2518C2214yescomplemented
116#2515C2214yescomplemented
117#2513C2212yescomplemented
118#2512C2212yescomplemented
119#2509C2212yescomplemented
120#2507C2212yescomplemented
121#2500C2212yescomplemented
122#2500C2212yescomplemented
123#2495C2212yescomplemented
124#2494C2212yescomplemented
125#2491C2212yescomplemented
126#2491C2212yescomplemented
127#2488C2214yescomplemented
128#2486C2211yescharacteristic, complemented
129#2486C2211yescharacteristic, complemented
130#2485C2212yescomplemented
131#2484C2211yescharacteristic, complemented
132#2482C2211yescharacteristic, complemented
133#2476C2214yescomplemented
134#2476C2214yescomplemented
135#2476C2214yescomplemented
136#2474C2214yescomplemented
137#2472C2214yescomplemented
138#2472C2214yescomplemented
139#2472C2214yescomplemented
140#2468C2214yescomplemented
141#2465C2214yescomplemented
142#2463C2212yescomplemented
143#2461C2214yescomplemented
144#2459C2214yescomplemented
145#2459C2214yescomplemented
146#2459C2214yescomplemented
147#2458C2214yescomplemented
148#2457C2214yescomplemented
149#2456C2214yescomplemented
150#2456C2214yescomplemented
151#2452C2212yescomplemented
152#2452C2212yescomplemented
153#2450C2214yescomplemented
154#2445C2212yescomplemented
155#2445C2212yescomplemented
156#2444C2214yescomplemented
157#2440C2212yescomplemented
158#2439C2212yescomplemented
159#2435C2214yescomplemented
160#2435C2214yescomplemented
161#2433C2212yes—
162#2431C2212yescomplemented
163#2428C2212yes—
164#2428C2212yescomplemented
165#2427C2214yescomplemented
166#2427C2214yescomplemented
167#2424C2214yes—
168#2424C2214yescomplemented
169#2420C2214yescomplemented
170#2420C2212yescomplemented
171#2420C2214yescomplemented
172#2420C2212yescomplemented
173#2416C2212yes—
174#2414C2212yescomplemented
175#2414C2212yescomplemented
176#2414C2212yescomplemented
177#2411C2214yescomplemented
178#2410C2214yes—
179#2410C2214yescomplemented
180#2410C2214yescomplemented
181#2408C2211yescharacteristic
182#2408C2211yescharacteristic, complemented
183#2408C2212yescomplemented
184#2407C2214yescomplemented
185#2406C2211yescharacteristic, complemented
186#2404C2211yescharacteristic
187#2404C2214yescomplemented
188#2403C2212yes—
189#2396C2212yescomplemented
190#2392C2212yescomplemented
191#2392C2212yescomplemented
192#2392C2212yescomplemented
193#2388C2212yescomplemented
194#2388C2212yescomplemented
195#2374C2212yescomplemented
196#2372C2214yescomplemented
197#2367C2214yescomplemented
198#2366C2212yescomplemented
199#2365C2212yescomplemented
200#2364C2214yescomplemented
201#2364C2214yescomplemented
202#2363C2212yes—
203#2363C2212yescomplemented
204#2363C2214yescomplemented
205#2363C2214yescomplemented
206#2361C2212yes—
207#2361C2214yescomplemented
208#2361C2214yescomplemented
209#2361C2212yescomplemented
210#2358C2214yescomplemented
211#2358C2214yescomplemented
212#2358C2212yescomplemented
213#2357C2212yescomplemented
214#2353C2214yescomplemented
215#2352C2212yescomplemented
216#2352C2212yescomplemented
217#2349C2212yescomplemented
218#2347C2212yescomplemented
219#2346C2212yescomplemented
220#2343C2214yescomplemented
221#2342C2214yescomplemented
222#2342C2214yescomplemented
223#2342C2214yescomplemented
224D4×C22⋊C4C2214yescomplemented
225D4×C22⋊C4C2214yescomplemented
226D4×C22⋊C4C2212yescomplemented
227D4×C22⋊C4C2212yescomplemented
228D4×C22⋊C4C2214yescomplemented
229#2337C2214yescomplemented
230#2333C2214yescomplemented
231#2331C2212yescomplemented
232#2328C2212yescomplemented
233#2325C2214yescomplemented
234#2324C2212yes—
235#2324C2212yes—
236#2324C2212yescomplemented
237#2324C2212yescomplemented
238#2321C2214yescomplemented
239#2319C2212yescomplemented
240#2316C2212yescomplemented
241#2309C2212yescomplemented
242C4×#127C2212yescomplemented
243C4×#124C2214yescomplemented
244C4×#124C2212yescomplemented
245C4×#123C2211yescharacteristic, complemented
246C4×#123C2211yescharacteristic, complemented
247C4×#121C2212yescomplemented
248C4×#121C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#120C2211yescharacteristic
254C4×#120C2214yescomplemented
255C4×#120C2211yescharacteristic, complemented
256#2298C2214yescomplemented
257#2290C2212yescomplemented
258#2290C2212yescomplemented
259C2×#386C2214yescomplemented
260#2285C2211yescharacteristic, complemented
261#2283C2211yescharacteristic, complemented
262#2280C2212yescomplemented
263#2280C2212yescomplemented
264#2275C2212yescomplemented
265#2274C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C23×D4C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2314yes—
272C23×D4C2314yes—
273C24×C4C2311yescharacteristic
274C24×C4C2312yes—
275#559—48no—
276#555—216no—
277D42—216no—
278D42—48no—
279#532—44no—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#126C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2312yes—
292#525—48no—
293C2×#123C2312yes—
294C2×#123C2311yescharacteristic
295C2×#123C2312yes—
296C2×#123C2311yescharacteristic
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×#121—216no—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#120C2314yes—
321C2×#120C2312yes—
322C2×#120C2314yes—
323C2×#120C2311yescharacteristic
324C2×#120C2311yescharacteristic
325C2×#120C2312yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2314yes—
329#518—48no—
330C4×#41—44no—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2314yes—
334C2×C4×D4—44no—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×#117—44no—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#399C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2312yes—
405#398C2312yes—
406#398C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2314yes—
414#397C2312yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2312yes—
422#396C2312yes—
423#396C2312yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2312yes—
430#395C2312yes—
431#395C2314yes—
432#395C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2312yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2312yes—
462#393C2314yes—
463#393C2312yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2312yes—
468#392C2312yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2312yes—
474#392C2314yes—
475#392C2312yes—
476#392C2312yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2314yes—
525#388C2312yes—
526#388C2314yes—
527#388C2314yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#387C2314yes—
569#387C2312yes—
570#387C2314yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#386C2314yes—
586#386C2312yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2311yescharacteristic
598#386C2311yescharacteristic
599#386C2311yescharacteristic
600#386C2311yescharacteristic
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2312yes—
634#385C2312yes—
635#385C2311yescharacteristic
636#385C2311yescharacteristic
637#385C2311yescharacteristic
638#385C2311yescharacteristic
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#384C2312yes—
650#384C2312yes—
651#383C2312yes—
652#383C2314yes—
653#383C2314yes—
654#382C2312yes—
655#382C2312yes—
656#382C2312yes—
657#382C2312yes—
658#382C2314yes—
659#382C2312yes—
660#381C2314yes—
661#381C2314yes—
662#381C2312yes—
663#381C2314yes—
664#381C2314yes—
665#381C2311yescharacteristic
666#381C2314yes—
667#381C2311yescharacteristic
668#381C2311yescharacteristic
669#381C2311yescharacteristic
670#381C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2311yescharacteristic
677#380C2311yescharacteristic
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2311yescharacteristic
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#379C2312yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2311yescharacteristic
696#379C2312yes—
697#379C2311yescharacteristic
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2311yescharacteristic
739#376C2312yes—
740#376C2312yes—
741#376C2314yes—
742C2×#95C2314yes—
743C2×#95C2314yes—
744C43C2312yes—
745C25C2412yes—
746C25C2411yescharacteristic
747C25C2414yes—
748C2×#41—24no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—42no—
752C2×#41—84no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2414yes—
755C22×Q8C2412yes—
756C22×D4—28no—
757C22×D4—28no—
758C22×D4—216no—
759C22×D4—216no—
760C22×D4—28no—
761C22×D4—42no—
762C22×D4—44no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—84no—
766C22×D4—84no—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2411yescharacteristic
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2411yescharacteristic
787C23×C4—28no—
788C23×C4—42no—
789C23×C4—44no—
790C23×C4—44no—
791C23×C4—44no—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2412yes—
806C23×C4C2414yes—
807C23×C4C2414yes—
808C23×C4C2414yes—
809C23×C4C2414yes—
810C23×C4C2414yes—
811C23×C4C2411yescharacteristic
812C23×C4C2414yes—
813C23×C4C2411yescharacteristic
814C23×C4C2414yes—
815C4⋊Q8—28no—
816C4⋊Q8—42no—
817#127—28no—
818#127—28no—
819#127—42no—
820#126—84no—
821#124—216no—
822#124—216no—
823#124—44no—
824#124—48no—
825#124—48no—
826#124—44no—
827#123—28no—
828#123—24no—
829#123—44no—
830#123—42no—
831#123—48no—
832#123—84no—
833C22⋊Q8—48no—
834C22⋊Q8—84no—
835C22⋊Q8—84no—
836C22⋊Q8—84no—
837#121—28no—
838#121—216no—
839#121—28no—
840#121—216no—
841#121—28no—
842#121—28no—
843#121—28no—
844#121—216no—
845#121—216no—
846#121—44no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—44no—
851#121—84no—
852#121#41116yescomplemented
853#120—216no—
854#120—28no—
855#120—24no—
856#120—216no—
857#120—42no—
858#120—48no—
859#120—44no—
860#120—84no—
861#120—84no—
862C4×Q8—42no—
863C4×Q8—42no—
864C4×Q8—48no—
865C4×D4—28no—
866C4×D4—28no—
867C4×D4—28no—
868C4×D4—28no—
869C4×D4—28no—
870C4×D4—28no—
871C4×D4—44no—
872C4×D4—48no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4—42no—
881C4×D4—42no—
882C4×D4—42no—
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—216no—
897#117—28no—
898#117—44no—
899#117—42no—
900#117—42no—
901#117—42no—
902#117—44no—
903#117—44no—
904#117—44no—
905#117—44no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—42no—
908C2×C4⋊C4—42no—
909C2×C4⋊C4—42no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C22⋊C4—216no—
951C2×C22⋊C4—48no—
952C2×C22⋊C4—42no—
953C2×C22⋊C4—42no—
954C2×C22⋊C4—44no—
955C2×C22⋊C4—48no—
956C2×C22⋊C4—48no—
957C2×C22⋊C4—84no—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—24no—
1032C2×C42—42no—
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108C24—28no—
1109C24—24no—
1110C24—24no—
1111C24—22no—
1112C24—28no—
1113C24—28no—
1114C24—41no—
1115C24—42no—
1116C24—44no—
1117C24—42no—
1118C24—44no—
1119C24—41no—
1120C24—42no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24C2514yes—
1126C24C2511yescharacteristic
1127C24C2512yes—
1128C24C2514yes—
1129C24C2511yescharacteristic
1130C24C2511yescharacteristic
1131#41—416no—
1132#41—816no—
1133C2×Q8—28no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—41no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—42no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—432no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—416no—
1198C2×D4—832no—
1199C2×D4—832no—
1200C2×D4C2×#4118yes—
1201C2×D4C2×#41116yes—
1202C2×D4H(5,𝔽2)14yes—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—28no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—416no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—41no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—816no—
1265C22×C4C2×#4118yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4C2×#4118yes—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—41no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—41no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4C2×#41116yes—
1402C42—28no—
1403C42—28no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—42no—
1418C42—44no—
1419C42—44no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—44no—
1425C42—42no—
1426C42H(5,𝔽2)14yes—
1427C23—22no—
1428C23—24no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—24no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—21no—
1439C23—24no—
1440C23—21no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23—22no—
1447C23—22no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—21no—
1452C23—24no—
1453C23—21no—
1454C23—24no—
1455C23—21no—
1456C23—24no—
1457C23—24no—
1458C23—22no—
1459C23—44no—
1460C23—48no—
1461C23—48no—
1462C23—416no—
1463C23—416no—
1464C23—84no—
1465C23—88no—
1466C23—84no—
1467C23—82no—
1468C23—88no—
1469C23—88no—
1470C23—88no—
1471C23—88no—
1472C23—82no—
1473C23—84no—
1474C23—164no—
1475C23—164no—
1476C23C22×#4114yes—
1477C23C22×#4118yes—
1478C23C2×H(5,𝔽2)12yes—
1479C23C2×H(5,𝔽2)12yes—
1480C23C2611yescharacteristic
1481Q8—44no—
1482Q8—88no—
1483Q8—84no—
1484D4—216no—
1485D4—416no—
1486D4—44no—
1487D4—416no—
1488D4—416no—
1489D4—416no—
1490D4—44no—
1491D4—48no—
1492D4—416no—
1493D4—48no—
1494D4—44no—
1495D4—48no—
1496D4—84no—
1497D4—88no—
1498D4—84no—
1499D4—88no—
1500D4—88no—
1501D4—88no—
1502D4—84no—
1503D4—88no—
1504C2×C4—28no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—216no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—48no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4—88no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—88no—
1580C2×C4—88no—
1581C2×C4—82no—
1582C2×C4—84no—
1583C2×C4—82no—
1584C2×C4—164no—
1585C2×C4—164no—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4118yes—
1588C2×C4C22×#4114yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4C2×H(5,𝔽2)12yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4#58512yes—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—28no—
1598C22—28no—
1599C22—24no—
1600C22—22no—
1601C22—22no—
1602C22—24no—
1603C22—28no—
1604C22—42no—
1605C22—44no—
1606C22—42no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—44no—
1615C22—42no—
1616C22—41no—
1617C22—41no—
1618C22—44no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—44no—
1624C22—41no—
1625C22—44no—
1626C22—41no—
1627C22—44no—
1628C22—41no—
1629C22—44no—
1630C22—88no—
1631C22—816no—
1632C22—1616no—
1633C22C23×#4112yes—
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22H(7,𝔽2)12yes—
1638C4—28no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—24no—
1644C4—42no—
1645C4—44no—
1646C4—44no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—41no—
1652C4—44no—
1653C4—42no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—44no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4#348114yes—
1663C2—42no—
1664C2—42no—
1665C2—48no—
1666C2—44no—
1667C2—81no—
1668C2—84no—
1669C2C2×#348111yescharacteristic
1670C2#6281811yescharacteristic
1671C2#6287411yescharacteristic
1672C2#6298312yes—
1673C2#6299412yes—
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. #60040C2semidirect
2. #59628C2semidirect
3. #59518C2semidirect
4. #59420C2semidirect
5. #59403C2semidirect
6. #59378C2semidirect
7. #59223C2semidirect
8. #59201C2semidirect
9. #59173C2semidirect
10. #59089C2semidirect
11. #59026C2semidirect
12. #58997C2semidirect
13. #45367C2semidirect
14. #45360C2semidirect
15. #45024C2semidirect
16. #44929C2semidirect
17. #44325C2semidirect
18. #44241C2semidirect
19. #44157C2semidirect
20. #43473C2semidirect
21. #43419C2semidirect
22. #43377C2semidirect
23. #35589C2semidirect
24. #35546C2semidirect
25. #35524C2semidirect
26. #34977C2semidirect
27. #34935C2semidirect
28. #34875C2semidirect
29. #34306C2semidirect
30. #34290C2semidirect
31. #34204C2semidirect
32. C2×#559C22semidirect
36. C2×#532C22semidirect
37. C2×#525C22semidirect
39. C2×#518C22semidirect
40. C2×C4×#41C22semidirect
41. C22×C4×D4C22semidirect
42. C22×#117C22semidirect
43. #2800C22semidirect
44. #2790C22semidirect
45. #2788C22semidirect
46. #2784C22semidirect
47. #2781C22semidirect
48. #2778C22semidirect
49. #2765C22semidirect
50. #2760C22semidirect
51. #2756C22semidirect
52. #2756C22semidirect
53. #2749C22semidirect
54. #2736C22semidirect
55. #2712C22semidirect
56. #2709C22semidirect
57. #2703C22semidirect
58. #2699C22semidirect
60. #2697C22semidirect
61. #2697C22semidirect
62. #2692C22semidirect
63. #2686C22semidirect
64. #2685C22semidirect
65. #2684C22semidirect
66. #2678C22semidirect
67. #2676C22semidirect
69. #2670C22semidirect
71. #2610C22semidirect
72. #2610C22semidirect
73. #2609C22semidirect
74. #2609C22semidirect
75. #2603C22semidirect
76. #2602C22semidirect
77. #2600C22semidirect
78. #2600C22semidirect
79. #2599C22semidirect
80. #2598C22semidirect
81. #2594C22semidirect
82. #2579C22semidirect
83. #2579C22semidirect
84. #2578C22semidirect
85. #2576C22semidirect
86. #2576C22semidirect
87. #2574C22semidirect
88. #2572C22semidirect
89. #2572C22semidirect
90. #2567C22semidirect
91. #2563C22semidirect
92. #2561C22semidirect
93. #2560C22semidirect
94. #2559C22semidirect
95. #2555C22semidirect
96. #2554C22semidirect
97. #2549C22semidirect
98. #2548C22semidirect
99. #2543C22semidirect
101. #2538C22semidirect
102. #2538C22semidirect
103. #2537C22semidirect
104. #2536C22semidirect
105. #2535C22semidirect
107. #2534C22semidirect
108. #2534C22semidirect
109. #2534C22semidirect
110. #2534C22semidirect
111. #2534C22semidirect
112. #2531C22semidirect
113. #2526C22semidirect
114. #2523C22semidirect
115. #2518C22semidirect
116. #2515C22semidirect
117. #2513C22semidirect
118. #2512C22semidirect
119. #2509C22semidirect
120. #2507C22semidirect
121. #2500C22semidirect
122. #2500C22semidirect
123. #2495C22semidirect
124. #2494C22semidirect
125. #2491C22semidirect
126. #2491C22semidirect
127. #2488C22semidirect
128. #2486C22semidirect
129. #2486C22semidirect
130. #2485C22semidirect
131. #2484C22semidirect
132. #2482C22semidirect
133. #2476C22semidirect
134. #2476C22semidirect
135. #2476C22semidirect
136. #2474C22semidirect
137. #2472C22semidirect
138. #2472C22semidirect
139. #2472C22semidirect
140. #2468C22semidirect
141. #2465C22semidirect
142. #2463C22semidirect
143. #2461C22semidirect
144. #2459C22semidirect
145. #2459C22semidirect
146. #2459C22semidirect
147. #2458C22semidirect
148. #2457C22semidirect
149. #2456C22semidirect
150. #2456C22semidirect
151. #2452C22semidirect
152. #2452C22semidirect
153. #2450C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2444C22semidirect
157. #2440C22semidirect
158. #2439C22semidirect
159. #2435C22semidirect
160. #2435C22semidirect
162. #2431C22semidirect
164. #2428C22semidirect
165. #2427C22semidirect
166. #2427C22semidirect
168. #2424C22semidirect
169. #2420C22semidirect
170. #2420C22semidirect
171. #2420C22semidirect
172. #2420C22semidirect
174. #2414C22semidirect
175. #2414C22semidirect
176. #2414C22semidirect
177. #2411C22semidirect
179. #2410C22semidirect
180. #2410C22semidirect
182. #2408C22semidirect
183. #2408C22semidirect
184. #2407C22semidirect
185. #2406C22semidirect
187. #2404C22semidirect
189. #2396C22semidirect
190. #2392C22semidirect
191. #2392C22semidirect
192. #2392C22semidirect
193. #2388C22semidirect
194. #2388C22semidirect
195. #2374C22semidirect
196. #2372C22semidirect
197. #2367C22semidirect
198. #2366C22semidirect
199. #2365C22semidirect
200. #2364C22semidirect
201. #2364C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
207. #2361C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2358C22semidirect
211. #2358C22semidirect
212. #2358C22semidirect
213. #2357C22semidirect
214. #2353C22semidirect
215. #2352C22semidirect
216. #2352C22semidirect
217. #2349C22semidirect
218. #2347C22semidirect
219. #2346C22semidirect
220. #2343C22semidirect
221. #2342C22semidirect
222. #2342C22semidirect
223. #2342C22semidirect
224. D4×C22⋊C4C22semidirect
225. D4×C22⋊C4C22semidirect
226. D4×C22⋊C4C22semidirect
227. D4×C22⋊C4C22semidirect
228. D4×C22⋊C4C22semidirect
229. #2337C22semidirect
230. #2333C22semidirect
231. #2331C22semidirect
232. #2328C22semidirect
233. #2325C22semidirect
236. #2324C22semidirect
237. #2324C22semidirect
238. #2321C22semidirect
239. #2319C22semidirect
240. #2316C22semidirect
241. #2309C22semidirect
242. C4×#127C22semidirect
243. C4×#124C22semidirect
244. C4×#124C22semidirect
245. C4×#123C22semidirect
246. C4×#123C22semidirect
247. C4×#121C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
254. C4×#120C22semidirect
255. C4×#120C22semidirect
256. #2298C22semidirect
257. #2290C22semidirect
258. #2290C22semidirect
259. C2×#386C22semidirect
260. #2285C22semidirect
261. #2283C22semidirect
262. #2280C22semidirect
263. #2280C22semidirect
264. #2275C22semidirect
265. #2274C22semidirect
266. C4×#117C22semidirect
852. #121#41semidirect

Maximal subgroups

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

subgroupindex
#600402
#596282
#595182
#594202
#594032
#593782
#592232
#592012
#591732
#590892
#590262
#589972
#453672
#453602
#450242
#449292
#443252
#442412
#441572
#434732
#434192
#433772
#355892
#355462
#355242
#349772
#349352
#348752
#343062
#342902
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