Finite Group Databasebeta

← #8505364

Subgroups — #8505364

Order 512.

6139 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59818C211yesmaximal, characteristic, complemented
2#57974C214yesmaximal, complemented
3#57189C214yesmaximal, complemented
4#56405C214yesmaximal, complemented
5#54843C214yesmaximal, complemented
6#54180C214yesmaximal, complemented
7#53264C214yesmaximal, complemented
8#53059C212yesmaximal, complemented
9#52273C211yesmaximal, characteristic, complemented
10#48088C212yesmaximal, complemented
11#47846C212yesmaximal, complemented
12#46324C212yesmaximal, complemented
13#45683C211yesmaximal, characteristic, complemented
14#45487C211yesmaximal, characteristic, complemented
15#45140C212yesmaximal, complemented
16#44936C212yesmaximal, complemented
17#42890C212yesmaximal, complemented
18#42483C212yesmaximal, complemented
19#42422C212yesmaximal, complemented
20#39745C212yesmaximal, complemented
21#39336C211yesmaximal, characteristic, complemented
22#38906C211yesmaximal, characteristic, complemented
23#37677C212yesmaximal, complemented
24#37674C212yesmaximal, complemented
25#37362C212yesmaximal, complemented
26#37332C212yesmaximal, complemented
27#37232C212yesmaximal, complemented
28D4×#127C211yesmaximal, characteristic, complemented
29#35219C212yesmaximal, complemented
30C2×#560C2212yescomplemented
31C2×#559C2212yescomplemented
32C2×#550C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×D42C2212yes—
36C2×D42C2211yescharacteristic
37C2×D42C2212yescomplemented
38C2×D42C2211yescharacteristic, complemented
39C2×#535C2212yes—
40C2×#534C2212yescomplemented
41C22×#127C2212yes—
42C22×#127C2211yescharacteristic
43C22×#124C2211yescharacteristic, complemented
44#2867C2211yescharacteristic, complemented
45#2856C2212yescomplemented
46#2856C2212yescomplemented
47#2854C2211yescharacteristic, complemented
48#2854C2211yescharacteristic, complemented
49#2853C2214yescomplemented
50#2852C2214yescomplemented
51#2850C2212yescomplemented
52#2825C2214yescomplemented
53#2825C2214yescomplemented
54#2824C2212yescomplemented
55#2819C2214yescomplemented
56#2818C2214yescomplemented
57#2815C2214yescomplemented
58#2815C2212yescomplemented
59#2813C2214yescomplemented
60#2812C2214yescomplemented
61#2808C2212yescomplemented
62#2804C2211yescharacteristic, complemented
63#2797C2214yescomplemented
64#2796C2212yescomplemented
65#2796C2212yescomplemented
66#2794C2212yescomplemented
67#2786C2214yescomplemented
68#2778C2214yescomplemented
69#2760C2212yescomplemented
70#2756C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2751C2212yescomplemented
74#2751C2212yescomplemented
75#2749C2214yescomplemented
76#2749C2214yescomplemented
77#2740C2214yescomplemented
78#2737C2214yescomplemented
79#2724C2211yescharacteristic, complemented
80#2714C2214yescomplemented
81#2709C2211yescharacteristic
82#2709C2211yescharacteristic
83#2709C2214yescomplemented
84#2709C2212yescomplemented
85#2709C2214yescomplemented
86#2708C2214yescomplemented
87#2708C2214yescomplemented
88#2706C2214yescomplemented
89#2703C2214yescomplemented
90#2703C2214yescomplemented
91#2703C2214yescomplemented
92#2699C2214yescomplemented
93#2696C2214yescomplemented
94#2696C2214yescomplemented
95#2691C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2688C2214yescomplemented
101#2686C2214yescomplemented
102#2684C2214yescomplemented
103#2684C2214yescomplemented
104#2684C2214yescomplemented
105#2680C2212yescomplemented
106#2678C2214yescomplemented
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2675C2212yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2673C2214yescomplemented
113#2673C2214yescomplemented
114#2673C2214yescomplemented
115#2673C2214yescomplemented
116#2673C2214yescomplemented
117#2673C2214yescomplemented
118#2673C2214yescomplemented
119#2673C2214yescomplemented
120#2673C2214yescomplemented
121#2673C2214yescomplemented
122#2671C2214yescomplemented
123#2671C2214yescomplemented
124#2670C2214yescomplemented
125#2670C2214yescomplemented
126#2669C2212yes—
127#2669C2214yescomplemented
128#2669C2214yescomplemented
129#2669C2214yescomplemented
130#2669C2214yescomplemented
131#2669C2212yescomplemented
132#2669C2214yescomplemented
133#2668C2214yescomplemented
134#2668C2214yescomplemented
135#2668C2214yescomplemented
136#2668C2214yescomplemented
137#2657C2212yescomplemented
138#2657C2212yescomplemented
139#2653C2214yescomplemented
140#2649C2214yescomplemented
141#2631C2214yescomplemented
142#2631C2214yescomplemented
143#2624C2212yescomplemented
144#2622C2212yescomplemented
145#2620C2212yescomplemented
146#2619C2212yescomplemented
147#2617C2214yescomplemented
148#2617C2214yescomplemented
149#2615C2214yescomplemented
150#2613C2214yescomplemented
151#2613C2212yescomplemented
152#2592C2212yescomplemented
153#2580C2212yescomplemented
154#2578C2214yescomplemented
155#2576C2214yescomplemented
156#2572C2214yescomplemented
157#2570C2212yescomplemented
158#2555C2212yescomplemented
159#2553C2214yescomplemented
160#2548C2212yescomplemented
161#2544C2212yes—
162#2544C2212yescomplemented
163#2544C2212yescomplemented
164#2541C2211yescharacteristic
165#2541C2212yes—
166#2541C2211yescharacteristic, complemented
167#2541C2212yescomplemented
168#2541C2212yescomplemented
169#2541C2212yescomplemented
170#2541C2212yescomplemented
171#2536C2212yescomplemented
172#2535C2212yescomplemented
173#2535C2214yescomplemented
174#2514C2212yescomplemented
175#2512C2212yescomplemented
176#2472C2214yescomplemented
177#2464C2214yescomplemented
178#2447C2212yescomplemented
179#2445C2212yes—
180#2436C2212yescomplemented
181#2436C2211yescharacteristic, complemented
182#2435C2212yes—
183#2435C2212yescomplemented
184#2433C2214yes—
185#2433C2212yes—
186#2433C2212yes—
187#2433C2212yes—
188#2433C2212yescomplemented
189#2433C2214yescomplemented
190#2433C2212yescomplemented
191#2433C2211yescharacteristic, complemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2431C2214yescomplemented
195#2431C2214yescomplemented
196#2431C2212yescomplemented
197#2428C2214yescomplemented
198#2428C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2427C2212yescomplemented
204#2427C2212yescomplemented
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2422C2212yescomplemented
210#2422C2212yescomplemented
211#2420C2212yescomplemented
212#2420C2212yescomplemented
213#2418C2214yescomplemented
214#2418C2214yescomplemented
215#2412C2212yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2410C2212yescomplemented
222#2410C2214yescomplemented
223#2410C2214yescomplemented
224#2409C2211yescharacteristic, complemented
225#2408C2211yescharacteristic, complemented
226#2407C2212yescomplemented
227#2405C2214yescomplemented
228#2405C2214yescomplemented
229#2405C2212yescomplemented
230#2404C2214yescomplemented
231#2404C2214yescomplemented
232#2404C2214yescomplemented
233#2403C2214yescomplemented
234#2403C2214yescomplemented
235#2403C2212yescomplemented
236#2398C2212yescomplemented
237#2398C2212yescomplemented
238#2395C2212yescomplemented
239#2380C2212yescomplemented
240#2358C2212yescomplemented
241D4×C22⋊C4C2211yescharacteristic
242D4×C22⋊C4C2212yescomplemented
243D4×C22⋊C4C2211yescharacteristic, complemented
244#2328C2212yes—
245#2328C2212yescomplemented
246#2328C2212yescomplemented
247#2326C2212yescomplemented
248#2320C2212yescomplemented
249#2319C2212yescomplemented
250#2308C2212yescomplemented
251C4×#127C2211yescharacteristic
252C4×#124C2212yescomplemented
253C4×#123C2211yescharacteristic, complemented
254C4×#123C2211yescharacteristic, complemented
255#2295C2212yescomplemented
256#2290C2212yescomplemented
257#2290C2212yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2314yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2312yes—
266C23×D4C2311yescharacteristic
267C23×D4C2312yes—
268C23×D4C2312yes—
269C23×D4C2314yes—
270C23×D4C2314yes—
271C23×D4C2312yes—
272#560—48no—
273#559—48no—
274#550—48no—
275#548—48no—
276#546—48no—
277D42—48no—
278D42—48no—
279D42—44no—
280D42—44no—
281#535—48no—
282#534—48no—
283C2×#127—48no—
284C2×#127—44no—
285C2×#127C2311yescharacteristic
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2311yescharacteristic
294C2×#127C2311yescharacteristic
295C2×#127C2312yes—
296C2×#127C2312yes—
297C2×#127C2312yes—
298C2×#127C2314yes—
299C2×#127C2314yes—
300C2×#127C2314yes—
301C2×#127C2314yes—
302C2×#127C2312yes—
303C2×#126C2314yes—
304C2×#124—44no—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2314yes—
309C2×#124C2312yes—
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2312yes—
313C2×#124C2314yes—
314C2×#123C2311yescharacteristic
315C2×#123C2311yescharacteristic
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#120C2312yes—
360C2×#120C2314yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2312yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2312yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×#117C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2314yes—
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2312yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#393C2312yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2312yes—
491#393C2312yes—
492#393C2312yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#386C2311yescharacteristic
607#386C2312yes—
608#386C2312yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2311yescharacteristic
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#385C2311yescharacteristic
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2311yescharacteristic
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#383C2314yes—
681#383C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2311yescharacteristic
688#381C2314yes—
689#381C2314yes—
690#381C2311yescharacteristic
691#380C2314yes—
692#380C2311yescharacteristic
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#379C2314yes—
700#379C2312yes—
701#379C2314yes—
702#379C2312yes—
703#379C2314yes—
704#379C2312yes—
705#379C2314yes—
706#379C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723#376C2312yes—
724#376C2312yes—
725C43C2311yescharacteristic
726C25C2412yes—
727C25C2412yes—
728C25C2412yes—
729C25C2414yes—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—48no—
734C2×#41—84no—
735C2×#41—84no—
736C22×Q8—42no—
737C22×Q8—44no—
738C22×Q8C2412yes—
739C22×Q8C2412yes—
740C22×Q8C2412yes—
741C22×D4—24no—
742C22×D4—28no—
743C22×D4—24no—
744C22×D4—28no—
745C22×D4—42no—
746C22×D4—44no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—44no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—48no—
758C22×D4—48no—
759C22×D4—44no—
760C22×D4—44no—
761C22×D4—82no—
762C22×D4—84no—
763C22×D4—84no—
764C22×D4—82no—
765C22×D4—82no—
766C22×D4—84no—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2411yescharacteristic
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2411yescharacteristic
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2414yes—
814C23×C4C2414yes—
815C23×C4C2411yescharacteristic
816C23×C4C2412yes—
817C23×C4C2411yescharacteristic
818C23×C4C2414yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2411yescharacteristic
824#127—24no—
825#127—28no—
826#127—28no—
827#127—28no—
828#127—28no—
829#127—44no—
830#127—44no—
831#127—44no—
832#127—44no—
833#127—42no—
834#127—42no—
835#127—44no—
836#127—44no—
837#127—48no—
838#127—48no—
839#127—48no—
840#127—82no—
841#127—84no—
842#126—48no—
843#124—28no—
844#124—28no—
845#124—48no—
846#124—44no—
847#124—44no—
848#124—48no—
849#124—44no—
850#124—44no—
851#124—48no—
852#123—24no—
853#123—24no—
854#123—48no—
855#123—48no—
856#123—48no—
857#123—44no—
858#123—48no—
859#123—48no—
860#123—82no—
861#123—84no—
862C22⋊Q8—48no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—48no—
874#121—48no—
875#121—42no—
876#121—42no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—48no—
883#121—48no—
884#121—44no—
885#121—44no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—48no—
890#121—84no—
891#121—84no—
892#121—84no—
893#121—84no—
894#121—84no—
895#121—84no—
896#121—84no—
897#120—28no—
898#120—48no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—44no—
904#120—48no—
905#120—48no—
906#120—48no—
907#120—48no—
908#120—44no—
909#120—44no—
910#120—48no—
911#120—84no—
912#120—84no—
913#120—84no—
914#120—82no—
915#120—84no—
916C4×Q8—28no—
917C4×Q8—28no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—42no—
931#117—44no—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C22⋊C4—48no—
961C2×C22⋊C4—44no—
962C2×C22⋊C4—44no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—82no—
965C2×C22⋊C4—84no—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C42—42no—
1043C2×C42—44no—
1044C2×C42—42no—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106C24—24no—
1107C24—24no—
1108C24—24no—
1109C24—24no—
1110C24—24no—
1111C24—28no—
1112C24—42no—
1113C24—42no—
1114C24—44no—
1115C24—42no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24—44no—
1127C24—42no—
1128C24C2512yes—
1129C24C2514yes—
1130C24C2512yes—
1131C24C2512yes—
1132C24C2514yes—
1133C24C2511yescharacteristic
1134C24C2512yes—
1135C24C2511yescharacteristic
1136#41—816no—
1137#41—832no—
1138C2×Q8—24no—
1139C2×Q8—24no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—88no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—28no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—41no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
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—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—88no—
1261C2×D4—88no—
1262C2×D4—816no—
1263C2×D4—88no—
1264C2×D4—816no—
1265C2×D4—816no—
1266C2×D4—832no—
1267C2×D4—832no—
1268C2×D4—816no—
1269C2×D4—816no—
1270C2×D4H(5,𝔽2)14yes—
1271C2×D4H(5,𝔽2)14yes—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—44no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—41no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—22no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—41no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—28no—
1446C42—24no—
1447C42—24no—
1448C42—42no—
1449C42—44no—
1450C42—42no—
1451C42—41no—
1452C42—42no—
1453C42H(5,𝔽2)18yes—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—24no—
1467C23—24no—
1468C23—22no—
1469C23—24no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—22no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23—24no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—24no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—24no—
1493C23—24no—
1494C23—24no—
1495C23—24no—
1496C23—22no—
1497C23—48no—
1498C23—48no—
1499C23—84no—
1500C23—84no—
1501C23—88no—
1502C23—84no—
1503C23—84no—
1504C23—88no—
1505C23—88no—
1506C23—88no—
1507C23—84no—
1508C23—88no—
1509C23—88no—
1510C23—84no—
1511C23—84no—
1512C23—88no—
1513C23—88no—
1514C23—164no—
1515C23—164no—
1516C23—164no—
1517C23—164no—
1518C23—164no—
1519C23C2×H(5,𝔽2)14yes—
1520C23C2×H(5,𝔽2)12yes—
1521C23C2×H(5,𝔽2)12yes—
1522C23C2611yescharacteristic
1523Q8—48no—
1524Q8—48no—
1525Q8—84no—
1526D4—28no—
1527D4—44no—
1528D4—48no—
1529D4—48no—
1530D4—44no—
1531D4—44no—
1532D4—48no—
1533D4—44no—
1534D4—48no—
1535D4—88no—
1536D4—84no—
1537D4—84no—
1538D4—88no—
1539D4—88no—
1540D4—88no—
1541D4—88no—
1542D4—88no—
1543D4—84no—
1544D4—84no—
1545D4—88no—
1546D4—84no—
1547D4—88no—
1548D4—84no—
1549D4—88no—
1550D4—88no—
1551D4—84no—
1552D4—88no—
1553D4—88no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—88no—
1559D4—88no—
1560D4—164no—
1561D4—162no—
1562D4—162no—
1563D4—164no—
1564D4—164no—
1565D4—164no—
1566D4—164no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—48no—
1622C2×C4—416no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—88no—
1629C2×C4—82no—
1630C2×C4—82no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—88no—
1635C2×C4—164no—
1636C2×C4—164no—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)14yes—
1639C2×C4C2×H(5,𝔽2)14yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)14yes—
1642C22—24no—
1643C22—24no—
1644C22—22no—
1645C22—24no—
1646C22—22no—
1647C22—24no—
1648C22—24no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—44no—
1656C22—44no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—42no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—44no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—44no—
1669C22—44no—
1670C22—44no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—44no—
1678C22—44no—
1679C22—42no—
1680C22—44no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—44no—
1686C22—44no—
1687C22—44no—
1688C22—168no—
1689C22—168no—
1690C22—168no—
1691C22—1616no—
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C22×H(5,𝔽2)12yes—
1694C22C22×H(5,𝔽2)11yescharacteristic
1695C22H(7,𝔽2)12yes—
1696C22H(7,𝔽2)11yescharacteristic
1697C4—24no—
1698C4—22no—
1699C4—24no—
1700C4—42no—
1701C4—41no—
1702C4—41no—
1703C4—44no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—44no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—44no—
1714C4—44no—
1715C4—42no—
1716C4—42no—
1717C4#354314yes—
1718C2—42no—
1719C2—44no—
1720C2—42no—
1721C2—84no—
1722C2—82no—
1723C2—84no—
1724C2—82no—
1725C2—82no—
1726C2C2×#354311yescharacteristic
1727C2#6287612yes—
1728C2#6289211yescharacteristic
1729C2#6291212yes—
1730C2#6304111yescharacteristic
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. #57974C2semidirect
3. #57189C2semidirect
4. #56405C2semidirect
5. #54843C2semidirect
6. #54180C2semidirect
7. #53264C2semidirect
8. #53059C2semidirect
9. #52273C2semidirect
10. #48088C2semidirect
11. #47846C2semidirect
12. #46324C2semidirect
13. #45683C2semidirect
14. #45487C2semidirect
15. #45140C2semidirect
16. #44936C2semidirect
17. #42890C2semidirect
18. #42483C2semidirect
19. #42422C2semidirect
20. #39745C2semidirect
21. #39336C2semidirect
22. #38906C2semidirect
23. #37677C2semidirect
24. #37674C2semidirect
25. #37362C2semidirect
26. #37332C2semidirect
27. #37232C2semidirect
28. D4×#127C2semidirect
29. #35219C2semidirect
30. C2×#560C22semidirect
31. C2×#559C22semidirect
32. C2×#550C22semidirect
33. C2×#548C22semidirect
34. C2×#546C22semidirect
37. C2×D42C22semidirect
38. C2×D42C22semidirect
40. C2×#534C22semidirect
43. C22×#124C22semidirect
44. #2867C22semidirect
45. #2856C22semidirect
46. #2856C22semidirect
47. #2854C22semidirect
48. #2854C22semidirect
49. #2853C22semidirect
50. #2852C22semidirect
51. #2850C22semidirect
52. #2825C22semidirect
53. #2825C22semidirect
54. #2824C22semidirect
55. #2819C22semidirect
56. #2818C22semidirect
57. #2815C22semidirect
58. #2815C22semidirect
59. #2813C22semidirect
60. #2812C22semidirect
61. #2808C22semidirect
62. #2804C22semidirect
63. #2797C22semidirect
64. #2796C22semidirect
65. #2796C22semidirect
66. #2794C22semidirect
67. #2786C22semidirect
68. #2778C22semidirect
69. #2760C22semidirect
70. #2756C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2751C22semidirect
74. #2751C22semidirect
75. #2749C22semidirect
76. #2749C22semidirect
77. #2740C22semidirect
78. #2737C22semidirect
79. #2724C22semidirect
80. #2714C22semidirect
83. #2709C22semidirect
84. #2709C22semidirect
85. #2709C22semidirect
86. #2708C22semidirect
87. #2708C22semidirect
88. #2706C22semidirect
89. #2703C22semidirect
90. #2703C22semidirect
91. #2703C22semidirect
92. #2699C22semidirect
93. #2696C22semidirect
94. #2696C22semidirect
95. #2691C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
100. #2688C22semidirect
101. #2686C22semidirect
102. #2684C22semidirect
103. #2684C22semidirect
104. #2684C22semidirect
105. #2680C22semidirect
106. #2678C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
109. #2675C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
112. #2673C22semidirect
113. #2673C22semidirect
114. #2673C22semidirect
115. #2673C22semidirect
116. #2673C22semidirect
117. #2673C22semidirect
118. #2673C22semidirect
119. #2673C22semidirect
120. #2673C22semidirect
121. #2673C22semidirect
122. #2671C22semidirect
123. #2671C22semidirect
124. #2670C22semidirect
125. #2670C22semidirect
127. #2669C22semidirect
128. #2669C22semidirect
129. #2669C22semidirect
130. #2669C22semidirect
131. #2669C22semidirect
132. #2669C22semidirect
133. #2668C22semidirect
134. #2668C22semidirect
135. #2668C22semidirect
136. #2668C22semidirect
137. #2657C22semidirect
138. #2657C22semidirect
139. #2653C22semidirect
140. #2649C22semidirect
141. #2631C22semidirect
142. #2631C22semidirect
143. #2624C22semidirect
144. #2622C22semidirect
145. #2620C22semidirect
146. #2619C22semidirect
147. #2617C22semidirect
148. #2617C22semidirect
149. #2615C22semidirect
150. #2613C22semidirect
151. #2613C22semidirect
152. #2592C22semidirect
153. #2580C22semidirect
154. #2578C22semidirect
155. #2576C22semidirect
156. #2572C22semidirect
157. #2570C22semidirect
158. #2555C22semidirect
159. #2553C22semidirect
160. #2548C22semidirect
162. #2544C22semidirect
163. #2544C22semidirect
166. #2541C22semidirect
167. #2541C22semidirect
168. #2541C22semidirect
169. #2541C22semidirect
170. #2541C22semidirect
171. #2536C22semidirect
172. #2535C22semidirect
173. #2535C22semidirect
174. #2514C22semidirect
175. #2512C22semidirect
176. #2472C22semidirect
177. #2464C22semidirect
178. #2447C22semidirect
180. #2436C22semidirect
181. #2436C22semidirect
183. #2435C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2431C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2427C22semidirect
204. #2427C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2422C22semidirect
210. #2422C22semidirect
211. #2420C22semidirect
212. #2420C22semidirect
213. #2418C22semidirect
214. #2418C22semidirect
215. #2412C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
221. #2410C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2409C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2405C22semidirect
228. #2405C22semidirect
229. #2405C22semidirect
230. #2404C22semidirect
231. #2404C22semidirect
232. #2404C22semidirect
233. #2403C22semidirect
234. #2403C22semidirect
235. #2403C22semidirect
236. #2398C22semidirect
237. #2398C22semidirect
238. #2395C22semidirect
239. #2380C22semidirect
240. #2358C22semidirect
242. D4×C22⋊C4C22semidirect
243. D4×C22⋊C4C22semidirect
245. #2328C22semidirect
246. #2328C22semidirect
247. #2326C22semidirect
248. #2320C22semidirect
249. #2319C22semidirect
250. #2308C22semidirect
252. C4×#124C22semidirect
253. C4×#123C22semidirect
254. C4×#123C22semidirect
255. #2295C22semidirect
256. #2290C22semidirect
257. #2290C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598182
#579742
#571892
#564052
#548432
#541802
#532642
#530592
#522732
#480882
#478462
#463242
#456832
#454872
#451402
#449362
#428902
#424832
#424222
#397452
#393362
#389062
#376772
#376742
#373622
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D4×#1272
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