Finite Group Databasebeta

← #8197073

Subgroups — #8197073

Order 512.

5969 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59818C211yesmaximal, characteristic, complemented
2#59816C211yesmaximal, characteristic, complemented
3#59222C212yesmaximal, complemented
4#59131C212yesmaximal, complemented
5#59089C212yesmaximal, complemented
6#58310C212yesmaximal, complemented
7#57154C214yesmaximal, complemented
8#53528C212yesmaximal, complemented
9#53014C212yesmaximal, complemented
10#52696C212yesmaximal, complemented
11#49771C212yesmaximal, complemented
12#47932C212yesmaximal, complemented
13#47087C214yesmaximal, complemented
14#46342C211yesmaximal, characteristic, complemented
15#46328C211yesmaximal, characteristic, complemented
16#45452C212yesmaximal, complemented
17#44868C212yesmaximal, complemented
18#43481C212yesmaximal, complemented
19#42984C212yesmaximal, complemented
20#42420C212yesmaximal, complemented
21#40941C214yesmaximal, complemented
22#40140C212yesmaximal, complemented
23#39900C212yesmaximal, complemented
24#39334C212yesmaximal, complemented
25#39024C212yesmaximal, complemented
26#37949C214yesmaximal, complemented
27#36502C212yesmaximal, complemented
28#36214C212yesmaximal, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34977C211yesmaximal, characteristic, complemented
31#34935C211yesmaximal, characteristic, complemented
32C2×#560C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×D42C2212yes—
37C2×D42C2212yes—
38C2×D42C2212yes—
39C2×#537C2212yescomplemented
40C2×#535C2212yescomplemented
41C2×#532C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic, complemented
43C2×#525C2212yescomplemented
44C2×C4×#41C2211yescharacteristic, complemented
45C22×C4×D4C2211yescharacteristic, complemented
46#2863C2212yescomplemented
47#2860C2212yescomplemented
48#2850C2212yescomplemented
49#2850C2212yescomplemented
50#2847C2214yescomplemented
51#2841C2214yescomplemented
52#2830C2212yescomplemented
53#2829C2214yescomplemented
54#2829C2214yescomplemented
55#2823C2212yescomplemented
56#2816C2214yescomplemented
57#2813C2214yescomplemented
58#2812C2214yescomplemented
59#2792C2212yescomplemented
60#2770C2214yescomplemented
61#2768C2214yescomplemented
62#2761C2214yescomplemented
63#2757C2214yescomplemented
64#2756C2214yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2753C2214yescomplemented
68#2749C2214yescomplemented
69#2749C2214yescomplemented
70#2741C2214yescomplemented
71#2737C2214yescomplemented
72#2737C2214yescomplemented
73#2735C2214yescomplemented
74#2709C2212yes—
75#2703C2214yescomplemented
76#2702C2214yescomplemented
77#2699C2214yescomplemented
78#2699C2212yescomplemented
79#2699C2214yescomplemented
80#2697C2212yescomplemented
81#2697C2214yescomplemented
82#2686C2214yescomplemented
83#2686C2214yescomplemented
84#2686C2214yescomplemented
85#2685C2214yescomplemented
86#2684C2214yescomplemented
87#2680C2212yescomplemented
88#2679C2212yes—
89#2679C2212yes—
90#2678C2214yescomplemented
91#2676C2214yescomplemented
92#2674C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2672C2214yescomplemented
96#2672C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2670C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2212yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2214yescomplemented
107#2659C2214yescomplemented
108#2651C2214yescomplemented
109#2648C2214yescomplemented
110#2638C2214yescomplemented
111#2632C2212yescomplemented
112#2631C2212yescomplemented
113#2630C2214yescomplemented
114#2617C2214yescomplemented
115#2616C2212yescomplemented
116#2615C2212yescomplemented
117#2613C2214yescomplemented
118#2610C2212yescomplemented
119#2610C2212yescomplemented
120#2610C2212yescomplemented
121#2610C2212yescomplemented
122#2598C2214yescomplemented
123#2595C2214yescomplemented
124#2592C2212yescomplemented
125#2578C2214yescomplemented
126#2570C2212yescomplemented
127#2567C2211yescharacteristic, complemented
128#2563C2211yescharacteristic, complemented
129#2555C2212yescomplemented
130#2555C2214yescomplemented
131#2555C2214yescomplemented
132#2548C2211yescharacteristic, complemented
133#2544C2212yes—
134#2543C2214yescomplemented
135#2543C2214yescomplemented
136#2541C2211yescharacteristic
137#2540C2212yescomplemented
138#2540C2212yescomplemented
139#2538C2212yescomplemented
140#2537C2212yes—
141#2537C2212yes—
142#2537C2212yes—
143#2537C2212yescomplemented
144#2536C2212yescomplemented
145#2536C2212yescomplemented
146#2535C2212yescomplemented
147#2535C2212yescomplemented
148#2535C2212yescomplemented
149#2534C2212yescomplemented
150#2534C2212yescomplemented
151#2534C2214yescomplemented
152#2531C2214yescomplemented
153#2531C2214yescomplemented
154#2518C2214yescomplemented
155#2502C2212yescomplemented
156#2500C2212yescomplemented
157#2500C2211yescharacteristic, complemented
158#2500C2211yescharacteristic, complemented
159#2497C2212yescomplemented
160#2495C2212yescomplemented
161#2486C2211yescharacteristic, complemented
162#2486C2211yescharacteristic, complemented
163#2486C2212yescomplemented
164#2485C2212yescomplemented
165#2482C2212yescomplemented
166#2476C2214yescomplemented
167#2476C2214yescomplemented
168#2476C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2472C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2468C2214yescomplemented
175#2467C2214yescomplemented
176#2464C2214yescomplemented
177#2464C2214yescomplemented
178#2457C2214yescomplemented
179#2456C2214yescomplemented
180#2450C2214yescomplemented
181#2444C2214yescomplemented
182#2435C2212yescomplemented
183#2431C2212yes—
184#2431C2211yescharacteristic
185#2431C2211yescharacteristic, complemented
186#2428C2212yes—
187#2428C2212yes—
188#2428C2214yescomplemented
189#2428C2214yescomplemented
190#2427C2212yescomplemented
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2426C2212yescomplemented
194#2425C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2423C2212yescomplemented
199#2423C2212yescomplemented
200#2422C2212yescomplemented
201#2420C2212yescomplemented
202#2418C2214yescomplemented
203#2417C2212yescomplemented
204#2416C2212yescomplemented
205#2416C2212yescomplemented
206#2416C2212yescomplemented
207#2415C2212yescomplemented
208#2415C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2412C2214yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2409C2211yescharacteristic, complemented
217#2409C2212yescomplemented
218#2409C2211yescharacteristic, complemented
219#2408C2211yescharacteristic
220#2408C2214yes—
221#2408C2212yes—
222#2408C2211yescharacteristic
223#2408C2214yes—
224#2408C2211yescharacteristic, complemented
225#2408C2214yescomplemented
226#2408C2211yescharacteristic, complemented
227#2408C2212yescomplemented
228#2407C2212yescomplemented
229#2404C2212yescomplemented
230#2392C2212yescomplemented
231#2392C2212yescomplemented
232#2388C2212yescomplemented
233#2388C2212yescomplemented
234#2376C2212yescomplemented
235#2367C2212yescomplemented
236#2364C2214yescomplemented
237#2363C2212yescomplemented
238#2361C2212yescomplemented
239#2358C2212yescomplemented
240#2353C2214yescomplemented
241#2353C2214yescomplemented
242#2352C2212yescomplemented
243#2349C2212yescomplemented
244#2339C2212yescomplemented
245D4×C22⋊C4C2212yescomplemented
246D4×C22⋊C4C2214yescomplemented
247#2335C2214yescomplemented
248#2325C2214yescomplemented
249#2321C2212yescomplemented
250#2321C2212yescomplemented
251#2312C2214yescomplemented
252C4×#127C2211yescharacteristic
253C4×#127C2212yes—
254C4×#127C2211yescharacteristic, complemented
255C4×#124C2211yescharacteristic, complemented
256C4×#124C2212yescomplemented
257C4×#124C2211yescharacteristic, complemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262C2×#386C2214yescomplemented
263#2285C2211yescharacteristic, complemented
264#2283C2211yescharacteristic, complemented
265#2280C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2311yescharacteristic
269C22×#41C2312yes—
270C23×Q8C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2314yes—
274C23×D4C2311yescharacteristic
275C23×D4C2314yes—
276C24×C4C2312yes—
277#560—48no—
278#548—48no—
279#546—48no—
280#546—48no—
281D42—48no—
282D42—48no—
283D42—48no—
284#537—48no—
285#535—48no—
286#532—44no—
287C2×C4⋊Q8C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#127C2314yes—
293C2×#126C2314yes—
294C2×#124—44no—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2311yescharacteristic
304C2×#124C2311yescharacteristic
305#525—48no—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#120C2312yes—
351C2×#120C2312yes—
352C2×#120C2312yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2312yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C4×#41—44no—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×D4—44no—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2312yes—
453#395C2312yes—
454#395C2312yes—
455#395C2314yes—
456#395C2312yes—
457#395C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2312yes—
502#393C2314yes—
503#393C2312yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2312yes—
525#392C2312yes—
526#392C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#388C2312yes—
575#388C2314yes—
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#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#383C2314yes—
677#383C2314yes—
678#383C2312yes—
679#382C2311yescharacteristic
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#381C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2312yes—
689#381C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#380C2314yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2312yes—
712#379C2314yes—
713#379C2314yes—
714#379C2312yes—
715#379C2312yes—
716#379C2314yes—
717#379C2314yes—
718#379C2314yes—
719#379C2312yes—
720#379C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2311yescharacteristic
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2311yescharacteristic
742#376C2312yes—
743#376C2312yes—
744C2×#95C2314yes—
745C2×#95C2314yes—
746C43C2311yescharacteristic
747C43C2311yescharacteristic
748C25C2412yes—
749C25C2412yes—
750C25C2414yes—
751C2×#41—24no—
752C2×#41—28no—
753C2×#41—42no—
754C2×#41—44no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—42no—
758C2×#41—44no—
759C2×#41—44no—
760C22×Q8—42no—
761C22×Q8—44no—
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×Q8C2412yes—
765C22×Q8C2412yes—
766C22×D4—28no—
767C22×D4—28no—
768C22×D4—42no—
769C22×D4—42no—
770C22×D4—44no—
771C22×D4—44no—
772C22×D4—44no—
773C22×D4—48no—
774C22×D4—48no—
775C22×D4—48no—
776C22×D4—48no—
777C22×D4—48no—
778C22×D4—48no—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2411yescharacteristic
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2411yescharacteristic
788C22×D4C2411yescharacteristic
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2411yescharacteristic
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2411yescharacteristic
809C23×C4—44no—
810C23×C4—44no—
811C23×C4—44no—
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C4⋊Q8—42no—
833#127—24no—
834#127—28no—
835#127—24no—
836#127—42no—
837#127—48no—
838#126—48no—
839#124—28no—
840#124—28no—
841#124—44no—
842#124—44no—
843#124—44no—
844#124—44no—
845#124—48no—
846#124—48no—
847#124—42no—
848#124—42no—
849#123—28no—
850#123—48no—
851#123—48no—
852#123—48no—
853#123—48no—
854#123—44no—
855C22⋊Q8—48no—
856C22⋊Q8—48no—
857C22⋊Q8—48no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863#121—28no—
864#121—28no—
865#121—28no—
866#121—28no—
867#121—48no—
868#121—42no—
869#121—42no—
870#121—48no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—48no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—48no—
892#121—48no—
893#120—28no—
894#120—28no—
895#120—44no—
896#120—48no—
897#120—48no—
898#120—44no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—48no—
906#120—48no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—48no—
934C4×D4—48no—
935C4×D4—48no—
936#117—42no—
937#117—42no—
938#117—42no—
939#117—44no—
940#117—44no—
941#117—44no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C22⋊C4—48no—
983C2×C22⋊C4—44no—
984C2×C22⋊C4—44no—
985C2×C22⋊C4—44no—
986C2×C22⋊C4—48no—
987C2×C22⋊C4—48no—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—24no—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131C24—28no—
1132C24—24no—
1133C24—24no—
1134C24—28no—
1135C24—42no—
1136C24—44no—
1137C24—42no—
1138C24—42no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24—42no—
1148C24C2514yes—
1149C24C2512yes—
1150C24C2512yes—
1151C24C2511yescharacteristic
1152C24C2514yes—
1153C24C2511yescharacteristic
1154C24C2511yescharacteristic
1155#41—416no—
1156#41—816no—
1157#41—816no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—41no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—88no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—22no—
1173C2×D4—28no—
1174C2×D4—22no—
1175C2×D4—28no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—24no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—42no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—416no—
1257C2×D4—816no—
1258C2×D4—88no—
1259C2×D4—832no—
1260C2×D4—832no—
1261C2×D4H(5,𝔽2)18yes—
1262C2×D4H(5,𝔽2)14yes—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—28no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—816no—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2514yes—
1327C22×C4C2514yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—42no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—41no—
1475C42—41no—
1476C42H(5,𝔽2)14yes—
1477C23—24no—
1478C23—24no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—21no—
1486C23—24no—
1487C23—21no—
1488C23—22no—
1489C23—24no—
1490C23—22no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—21no—
1517C23—48no—
1518C23—416no—
1519C23—84no—
1520C23—88no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—88no—
1529C23—84no—
1530C23—88no—
1531C23—164no—
1532C23—164no—
1533C23—164no—
1534C23C2×H(5,𝔽2)18yes—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2×H(5,𝔽2)12yes—
1537C23C2611yescharacteristic
1538Q8—44no—
1539Q8—48no—
1540Q8—84no—
1541Q8—84no—
1542D4—216no—
1543D4—44no—
1544D4—48no—
1545D4—416no—
1546D4—48no—
1547D4—44no—
1548D4—48no—
1549D4—416no—
1550D4—44no—
1551D4—48no—
1552D4—84no—
1553D4—82no—
1554D4—82no—
1555D4—88no—
1556D4—84no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—84no—
1565D4—88no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—164no—
1570D4—164no—
1571D4—164no—
1572C2×C4—28no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—48no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—82no—
1639C2×C4—82no—
1640C2×C4—88no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—84no—
1645C2×C4—88no—
1646C2×C4—84no—
1647C2×C4—164no—
1648C2×C4—164no—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)12yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)14yes—
1654C2×C4#58514yes—
1655C2×C4#58512yes—
1656C22—28no—
1657C22—24no—
1658C22—28no—
1659C22—24no—
1660C22—28no—
1661C22—22no—
1662C22—22no—
1663C22—41no—
1664C22—41no—
1665C22—44no—
1666C22—41no—
1667C22—41no—
1668C22—44no—
1669C22—44no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—41no—
1675C22—42no—
1676C22—44no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—44no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—816no—
1700C22—1616no—
1701C22—168no—
1702C22C22×H(5,𝔽2)12yes—
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C2×#58512yes—
1706C22C2×#58511yescharacteristic
1707C4—24no—
1708C4—22no—
1709C4—22no—
1710C4—22no—
1711C4—22no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—41no—
1716C4—41no—
1717C4—44no—
1718C4—44no—
1719C4—44no—
1720C4—44no—
1721C4—42no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—44no—
1727C4—42no—
1728C4—41no—
1729C4—44no—
1730C4#353714yes—
1731C2—42no—
1732C2—48no—
1733C2—42no—
1734C2—82no—
1735C2—81no—
1736C2—82no—
1737C2—84no—
1738C2C2×#353711yescharacteristic
1739C2#6275911yescharacteristic
1740C2#6281811yescharacteristic
1741C2#6301212yes—
1742C2#6302412yes—
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. #59818C2semidirect
2. #59816C2semidirect
3. #59222C2semidirect
4. #59131C2semidirect
5. #59089C2semidirect
6. #58310C2semidirect
7. #57154C2semidirect
8. #53528C2semidirect
9. #53014C2semidirect
10. #52696C2semidirect
11. #49771C2semidirect
12. #47932C2semidirect
13. #47087C2semidirect
14. #46342C2semidirect
15. #46328C2semidirect
16. #45452C2semidirect
17. #44868C2semidirect
18. #43481C2semidirect
19. #42984C2semidirect
20. #42420C2semidirect
21. #40941C2semidirect
22. #40140C2semidirect
23. #39900C2semidirect
24. #39334C2semidirect
25. #39024C2semidirect
26. #37949C2semidirect
27. #36502C2semidirect
28. #36214C2semidirect
29. #35129C2semidirect
30. #34977C2semidirect
31. #34935C2semidirect
32. C2×#560C22semidirect
33. C2×#548C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
39. C2×#537C22semidirect
40. C2×#535C22semidirect
41. C2×#532C22semidirect
42. C22×#124C22semidirect
43. C2×#525C22semidirect
44. C2×C4×#41C22semidirect
45. C22×C4×D4C22semidirect
46. #2863C22semidirect
47. #2860C22semidirect
48. #2850C22semidirect
49. #2850C22semidirect
50. #2847C22semidirect
51. #2841C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2829C22semidirect
55. #2823C22semidirect
56. #2816C22semidirect
57. #2813C22semidirect
58. #2812C22semidirect
59. #2792C22semidirect
60. #2770C22semidirect
61. #2768C22semidirect
62. #2761C22semidirect
63. #2757C22semidirect
64. #2756C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2753C22semidirect
68. #2749C22semidirect
69. #2749C22semidirect
70. #2741C22semidirect
71. #2737C22semidirect
72. #2737C22semidirect
73. #2735C22semidirect
75. #2703C22semidirect
76. #2702C22semidirect
77. #2699C22semidirect
78. #2699C22semidirect
79. #2699C22semidirect
80. #2697C22semidirect
81. #2697C22semidirect
82. #2686C22semidirect
83. #2686C22semidirect
84. #2686C22semidirect
85. #2685C22semidirect
86. #2684C22semidirect
87. #2680C22semidirect
90. #2678C22semidirect
91. #2676C22semidirect
92. #2674C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2672C22semidirect
96. #2672C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
100. #2670C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2659C22semidirect
108. #2651C22semidirect
109. #2648C22semidirect
110. #2638C22semidirect
111. #2632C22semidirect
112. #2631C22semidirect
113. #2630C22semidirect
114. #2617C22semidirect
115. #2616C22semidirect
116. #2615C22semidirect
117. #2613C22semidirect
118. #2610C22semidirect
119. #2610C22semidirect
120. #2610C22semidirect
121. #2610C22semidirect
122. #2598C22semidirect
123. #2595C22semidirect
124. #2592C22semidirect
125. #2578C22semidirect
126. #2570C22semidirect
127. #2567C22semidirect
128. #2563C22semidirect
129. #2555C22semidirect
130. #2555C22semidirect
131. #2555C22semidirect
132. #2548C22semidirect
134. #2543C22semidirect
135. #2543C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2538C22semidirect
143. #2537C22semidirect
144. #2536C22semidirect
145. #2536C22semidirect
146. #2535C22semidirect
147. #2535C22semidirect
148. #2535C22semidirect
149. #2534C22semidirect
150. #2534C22semidirect
151. #2534C22semidirect
152. #2531C22semidirect
153. #2531C22semidirect
154. #2518C22semidirect
155. #2502C22semidirect
156. #2500C22semidirect
157. #2500C22semidirect
158. #2500C22semidirect
159. #2497C22semidirect
160. #2495C22semidirect
161. #2486C22semidirect
162. #2486C22semidirect
163. #2486C22semidirect
164. #2485C22semidirect
165. #2482C22semidirect
166. #2476C22semidirect
167. #2476C22semidirect
168. #2476C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2468C22semidirect
175. #2467C22semidirect
176. #2464C22semidirect
177. #2464C22semidirect
178. #2457C22semidirect
179. #2456C22semidirect
180. #2450C22semidirect
181. #2444C22semidirect
182. #2435C22semidirect
185. #2431C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2426C22semidirect
194. #2425C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2423C22semidirect
199. #2423C22semidirect
200. #2422C22semidirect
201. #2420C22semidirect
202. #2418C22semidirect
203. #2417C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2416C22semidirect
207. #2415C22semidirect
208. #2415C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2412C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2409C22semidirect
217. #2409C22semidirect
218. #2409C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2407C22semidirect
229. #2404C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2388C22semidirect
233. #2388C22semidirect
234. #2376C22semidirect
235. #2367C22semidirect
236. #2364C22semidirect
237. #2363C22semidirect
238. #2361C22semidirect
239. #2358C22semidirect
240. #2353C22semidirect
241. #2353C22semidirect
242. #2352C22semidirect
243. #2349C22semidirect
244. #2339C22semidirect
245. D4×C22⋊C4C22semidirect
246. D4×C22⋊C4C22semidirect
247. #2335C22semidirect
248. #2325C22semidirect
249. #2321C22semidirect
250. #2321C22semidirect
251. #2312C22semidirect
254. C4×#127C22semidirect
255. C4×#124C22semidirect
256. C4×#124C22semidirect
257. C4×#124C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. C2×#386C22semidirect
263. #2285C22semidirect
264. #2283C22semidirect
265. #2280C22semidirect
266. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598182
#598162
#592222
#591312
#590892
#583102
#571542
#535282
#530142
#526962
#497712
#479322
#470872
#463422
#463282
#454522
#448682
#434812
#429842
#424202
#409412
#401402
#399002
#393342
#390242
#379492
#365022
#362142
#351292
#349772
#349352