Finite Group Databasebeta

← #8346336

Subgroups — #8346336

Order 512.

6088 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59412C212yesmaximal, complemented
2#59026C212yesmaximal, complemented
3#58997C212yesmaximal, complemented
4#57149C214yesmaximal, complemented
5#56660C212yesmaximal, complemented
6#56413C212yesmaximal, complemented
7#54919C214yesmaximal, complemented
8#54815C214yesmaximal, complemented
9#52969C212yesmaximal, complemented
10#52309C212yesmaximal, complemented
11#52245C211yesmaximal, characteristic, complemented
12#48456C214yesmaximal, complemented
13#47838C214yesmaximal, complemented
14#46042C212yesmaximal, complemented
15#45188C212yesmaximal, complemented
16#43098C212yesmaximal, complemented
17#42971C211yesmaximal, characteristic, complemented
18#42522C211yesmaximal, characteristic, complemented
19#42475C212yesmaximal, complemented
20#42471C212yesmaximal, complemented
21#40498C214yesmaximal, complemented
22#40152C212yesmaximal, complemented
23#39552C212yesmaximal, complemented
24#39405C212yesmaximal, complemented
25#38953C212yesmaximal, complemented
26#37450C211yesmaximal, characteristic, complemented
27#35741C211yesmaximal, characteristic, complemented
28#35691C211yesmaximal, characteristic, complemented
29#35540C211yesmaximal, characteristic, complemented
30C2×#555C2212yescomplemented
31C2×#550C2211yescharacteristic, complemented
32C2×#546C2214yescomplemented
33C2×D42C2212yescomplemented
34C2×D42C2212yescomplemented
35C2×D42C2214yescomplemented
36C2×D42C2211yescharacteristic, complemented
37C2×#538C2214yescomplemented
38C22×#121C2211yescharacteristic
39C22×#121C2212yescomplemented
40C2×#518C2211yescharacteristic, complemented
41#2864C2212yescomplemented
42#2858C2212yescomplemented
43#2829C2214yescomplemented
44#2828C2214yescomplemented
45#2828C2214yescomplemented
46#2826C2212yescomplemented
47#2819C2212yescomplemented
48#2815C2214yescomplemented
49#2815C2214yescomplemented
50#2815C2212yescomplemented
51#2815C2212yescomplemented
52#2812C2214yescomplemented
53#2812C2214yescomplemented
54#2803C2214yescomplemented
55#2800C2214yescomplemented
56#2797C2214yescomplemented
57#2797C2214yescomplemented
58#2795C2212yescomplemented
59#2786C2214yescomplemented
60#2786C2214yescomplemented
61#2786C2214yescomplemented
62#2781C2214yescomplemented
63#2779C2212yescomplemented
64#2768C2212yescomplemented
65#2764C2211yescharacteristic, complemented
66#2761C2212yescomplemented
67#2761C2214yescomplemented
68#2756C2212yescomplemented
69#2752C2211yescharacteristic, complemented
70#2751C2214yescomplemented
71#2737C2214yescomplemented
72#2736C2214yescomplemented
73#2735C2211yescharacteristic, complemented
74#2730C2214yescomplemented
75#2715C2212yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2712C2212yescomplemented
79#2709C2214yescomplemented
80#2700C2214yescomplemented
81#2699C2214yescomplemented
82#2699C2214yescomplemented
83#2699C2214yescomplemented
84#2696C2214yescomplemented
85#2691C2214yescomplemented
86#2686C2214yescomplemented
87#2686C2214yescomplemented
88#2685C2212yescomplemented
89#2684C2214yescomplemented
90#2680C2212yescomplemented
91#2679C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2676C2214yescomplemented
101#2675C2214yescomplemented
102#2675C2212yescomplemented
103#2673C2214yescomplemented
104#2670C2211yescharacteristic
105#2670C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2668C2214yescomplemented
114#2648C2214yescomplemented
115#2638C2214yescomplemented
116#2635C2212yescomplemented
117#2631C2214yescomplemented
118#2630C2214yescomplemented
119#2630C2214yescomplemented
120#2620C2214yescomplemented
121#2619C2211yescharacteristic
122#2619C2212yescomplemented
123#2619C2212yescomplemented
124#2619C2211yescharacteristic, complemented
125#2619C2212yescomplemented
126#2617C2214yescomplemented
127#2617C2214yescomplemented
128#2617C2212yescomplemented
129#2613C2214yescomplemented
130#2613C2214yescomplemented
131#2609C2212yescomplemented
132#2602C2214yescomplemented
133#2600C2214yescomplemented
134#2580C2211yescharacteristic, complemented
135#2570C2212yescomplemented
136#2563C2212yescomplemented
137#2557C2214yescomplemented
138#2555C2214yescomplemented
139#2543C2212yescomplemented
140#2541C2212yescomplemented
141#2541C2211yescharacteristic, complemented
142#2541C2212yescomplemented
143#2541C2211yescharacteristic, complemented
144#2539C2212yescomplemented
145#2538C2212yescomplemented
146#2537C2212yescomplemented
147#2535C2214yescomplemented
148#2535C2211yescharacteristic, complemented
149#2534C2214yescomplemented
150#2513C2212yescomplemented
151#2513C2212yescomplemented
152#2512C2212yescomplemented
153#2504C2212yescomplemented
154#2504C2212yescomplemented
155#2500C2212yescomplemented
156#2500C2212yescomplemented
157#2491C2212yescomplemented
158#2483C2212yescomplemented
159#2483C2212yescomplemented
160#2480C2214yescomplemented
161#2476C2214yescomplemented
162#2472C2214yescomplemented
163#2467C2214yescomplemented
164#2466C2214yescomplemented
165#2464C2214yescomplemented
166#2464C2214yescomplemented
167#2463C2212yescomplemented
168#2463C2214yescomplemented
169#2456C2214yescomplemented
170#2456C2214yescomplemented
171#2452C2212yescomplemented
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2440C2212yescomplemented
175#2439C2212yescomplemented
176#2435C2214yescomplemented
177#2433C2212yescomplemented
178#2433C2212yescomplemented
179#2433C2212yescomplemented
180#2433C2212yescomplemented
181#2433C2212yescomplemented
182#2428C2212yes—
183#2428C2212yescomplemented
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2422C2212yescomplemented
194#2422C2212yescomplemented
195#2422C2214yescomplemented
196#2422C2212yescomplemented
197#2420C2214yescomplemented
198#2420C2212yescomplemented
199#2420C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2419C2214yescomplemented
203#2416C2212yescomplemented
204#2416C2212yescomplemented
205#2414C2214yescomplemented
206#2414C2214yescomplemented
207#2414C2212yescomplemented
208#2414C2212yescomplemented
209#2414C2212yescomplemented
210#2410C2214yescomplemented
211#2410C2214yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2408C2212yes—
215#2408C2214yescomplemented
216#2408C2212yescomplemented
217#2408C2214yescomplemented
218#2408C2214yescomplemented
219#2408C2212yescomplemented
220#2407C2214yescomplemented
221#2405C2212yescomplemented
222#2405C2212yescomplemented
223#2404C2212yescomplemented
224#2403C2214yescomplemented
225#2403C2212yescomplemented
226#2403C2212yescomplemented
227#2403C2214yescomplemented
228#2396C2211yescharacteristic, complemented
229#2395C2212yescomplemented
230#2392C2211yescharacteristic, complemented
231#2392C2212yescomplemented
232#2388C2212yescomplemented
233C2×#392C2212yescomplemented
234#2377C2214yescomplemented
235#2366C2212yescomplemented
236#2363C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2357C2211yescharacteristic, complemented
240#2352C2212yescomplemented
241#2349C2211yescharacteristic, complemented
242#2342C2214yescomplemented
243D4×C22⋊C4C2212yescomplemented
244D4×C22⋊C4C2212yescomplemented
245#2325C2214yescomplemented
246#2317C2211yescharacteristic, complemented
247#2317C2211yescharacteristic, complemented
248#2314C2212yescomplemented
249#2309C2211yescharacteristic, complemented
250#2309C2212yescomplemented
251C4×#127C2212yescomplemented
252C4×#127C2212yescomplemented
253C4×#126C2212yescomplemented
254C4×#124C2212yescomplemented
255C4×#120C2212yescomplemented
256#2293C2212yescomplemented
257#2280C2211yescharacteristic, complemented
258#2280C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265C23×D4C2314yes—
266C23×D4C2314yes—
267C23×D4C2312yes—
268C24×C4C2311yescharacteristic
269#555—48no—
270#550—44no—
271#546—416no—
272D42—48no—
273D42—44no—
274D42—416no—
275D42—48no—
276#538—416no—
277C2×C4⋊Q8C2312yes—
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284C2×#127C2314yes—
285C2×#126C2312yes—
286C2×#126C2314yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×#121—48no—
302C2×#121—44no—
303C2×#121C2314yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#120C2312yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351#518—44no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2314yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2311yescharacteristic
392#399C2311yescharacteristic
393#399C2312yes—
394#399C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2311yescharacteristic
398#398C2312yes—
399#398C2312yes—
400#398C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2311yescharacteristic
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2312yes—
427#396C2314yes—
428#396C2312yes—
429#396C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2312yes—
433#396C2314yes—
434#395C2314yes—
435#395C2311yescharacteristic
436#394C2311yescharacteristic
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2312yes—
442#394C2314yes—
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#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#393C2314yes—
488#393C2311yescharacteristic
489#392C2314yes—
490#392C2314yes—
491#392C2312yes—
492#392C2312yes—
493#392C2312yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2311yescharacteristic
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2314yes—
530#391C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
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#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#383C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2311yescharacteristic
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#381C2314yes—
674#381C2314yes—
675#381C2312yes—
676#381C2314yes—
677#381C2314yes—
678#381C2312yes—
679#381C2311yescharacteristic
680#381C2311yescharacteristic
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2312yes—
692#379C2314yes—
693#379C2314yes—
694#379C2312yes—
695#379C2312yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2311yescharacteristic
701#379C2311yescharacteristic
702#379C2312yes—
703#379C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C2×#95C2312yes—
722C43C2312yes—
723C25C2411yescharacteristic
724C25C2412yes—
725C25C2414yes—
726C25C2414yes—
727C2×#41—44no—
728C2×#41—48no—
729C22×Q8C2411yescharacteristic
730C22×Q8C2414yes—
731C22×D4—24no—
732C22×D4—28no—
733C22×D4—24no—
734C22×D4—42no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—48no—
739C22×D4—48no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—48no—
745C22×D4—48no—
746C22×D4—48no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—84no—
751C22×D4—84no—
752C22×D4—84no—
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C23×C4—24no—
787C23×C4—42no—
788C23×C4—42no—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2414yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C4⋊Q8—44no—
805#127—28no—
806#127—44no—
807#127—44no—
808#127—42no—
809#127—44no—
810#127—42no—
811#127—48no—
812#126—28no—
813#126—48no—
814#124—28no—
815#124—48no—
816#124—48no—
817#124—48no—
818#124—48no—
819#124—84no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—84no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—84no—
828#121—28no—
829#121—28no—
830#121—28no—
831#121—216no—
832#121—216no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—48no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—48no—
853#121—44no—
854#121—44no—
855#121—84no—
856#121—84no—
857#121—84no—
858#120—28no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—48no—
865#120—48no—
866#120—48no—
867#120—48no—
868#120—48no—
869#120—48no—
870#120—48no—
871#120—84no—
872#120—84no—
873#120—84no—
874#120—84no—
875#120—84no—
876C4×Q8—42no—
877C4×D4—24no—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—48no—
881C4×D4—42no—
882C4×D4—42no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—48no—
889C4×D4—42no—
890C4×D4—44no—
891C4×D4—48no—
892C4×D4—48no—
893C4×D4—48no—
894C4×D4—48no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—84no—
898#117—24no—
899#117—42no—
900#117—44no—
901#117—42no—
902#117—48no—
903#117—42no—
904#117—44no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—42no—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C22⋊C4—216no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4—48no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044#95C2411yescharacteristic
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2411yescharacteristic
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088C24—24no—
1089C24—22no—
1090C24—24no—
1091C24—24no—
1092C24—28no—
1093C24—28no—
1094C24—41no—
1095C24—42no—
1096C24—42no—
1097C24—44no—
1098C24—41no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24C2514yes—
1113C24C2512yes—
1114C24C2514yes—
1115C24C2512yes—
1116C24C2511yescharacteristic
1117C24C2512yes—
1118C24C2512yes—
1119#41—816no—
1120C2×Q8—24no—
1121C2×Q8—41no—
1122C2×Q8—44no—
1123C2×Q8—44no—
1124C2×Q8—44no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—28no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—28no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—416no—
1156C2×D4—42no—
1157C2×D4—41no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—816no—
1220C2×D4—816no—
1221C2×D4—832no—
1222C2×D4—816no—
1223C2×D4—832no—
1224C2×D4—832no—
1225C2×D4—816no—
1226C2×D4H(5,𝔽2)14yes—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—41no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—88no—
1267C22×C4H(5,𝔽2)14yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—41no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—41no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4H(5,𝔽2)18yes—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—44no—
1416C42—42no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C42—42no—
1421C23—22no—
1422C23—22no—
1423C23—21no—
1424C23—24no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—22no—
1435C23—24no—
1436C23—22no—
1437C23—24no—
1438C23—22no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—44no—
1462C23—48no—
1463C23—48no—
1464C23—82no—
1465C23—84no—
1466C23—88no—
1467C23—84no—
1468C23—88no—
1469C23—88no—
1470C23—88no—
1471C23—88no—
1472C23—84no—
1473C23—88no—
1474C23—88no—
1475C23—82no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—88no—
1480C23—164no—
1481C23—164no—
1482C23—164no—
1483C23—164no—
1484C23—164no—
1485C23C2×H(5,𝔽2)14yes—
1486C23C2×H(5,𝔽2)14yes—
1487C23C2×H(5,𝔽2)12yes—
1488C23C2611yescharacteristic
1489Q8—44no—
1490Q8—164no—
1491D4—28no—
1492D4—48no—
1493D4—48no—
1494D4—48no—
1495D4—416no—
1496D4—416no—
1497D4—416no—
1498D4—44no—
1499D4—44no—
1500D4—48no—
1501D4—48no—
1502D4—88no—
1503D4—88no—
1504D4—84no—
1505D4—88no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—84no—
1516D4—88no—
1517D4—88no—
1518D4—84no—
1519D4—162no—
1520D4—162no—
1521D4—164no—
1522D4—164no—
1523D4—164no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—28no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—88no—
1582C2×C4—84no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—82no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—162no—
1592C2×C4—162no—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)14yes—
1595C2×C4C2×H(5,𝔽2)14yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4#58512yes—
1599C22—22no—
1600C22—24no—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—42no—
1608C22—41no—
1609C22—41no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—44no—
1620C22—44no—
1621C22—44no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—44no—
1628C22—44no—
1629C22—42no—
1630C22—44no—
1631C22—44no—
1632C22—44no—
1633C22—42no—
1634C22—44no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—88no—
1643C22—168no—
1644C22—1616no—
1645C22—1616no—
1646C22C22×H(5,𝔽2)11yescharacteristic
1647C22C22×H(5,𝔽2)11yescharacteristic
1648C22C22×H(5,𝔽2)12yes—
1649C22C2×#58511yescharacteristic
1650C22H(7,𝔽2)12yes—
1651C4—22no—
1652C4—24no—
1653C4—24no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—44no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4#353414yes—
1673C2—42no—
1674C2—44no—
1675C2—44no—
1676C2—82no—
1677C2—84no—
1678C2—82no—
1679C2—84no—
1680C2C2×#353411yescharacteristic
1681C2#6291212yes—
1682C2#6293012yes—
1683C2#6301111yescharacteristic
1684C2#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. #59412C2semidirect
2. #59026C2semidirect
3. #58997C2semidirect
4. #57149C2semidirect
5. #56660C2semidirect
6. #56413C2semidirect
7. #54919C2semidirect
8. #54815C2semidirect
9. #52969C2semidirect
10. #52309C2semidirect
11. #52245C2semidirect
12. #48456C2semidirect
13. #47838C2semidirect
14. #46042C2semidirect
15. #45188C2semidirect
16. #43098C2semidirect
17. #42971C2semidirect
18. #42522C2semidirect
19. #42475C2semidirect
20. #42471C2semidirect
21. #40498C2semidirect
22. #40152C2semidirect
23. #39552C2semidirect
24. #39405C2semidirect
25. #38953C2semidirect
26. #37450C2semidirect
27. #35741C2semidirect
28. #35691C2semidirect
29. #35540C2semidirect
30. C2×#555C22semidirect
31. C2×#550C22semidirect
32. C2×#546C22semidirect
33. C2×D42C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×#538C22semidirect
39. C22×#121C22semidirect
40. C2×#518C22semidirect
41. #2864C22semidirect
42. #2858C22semidirect
43. #2829C22semidirect
44. #2828C22semidirect
45. #2828C22semidirect
46. #2826C22semidirect
47. #2819C22semidirect
48. #2815C22semidirect
49. #2815C22semidirect
50. #2815C22semidirect
51. #2815C22semidirect
52. #2812C22semidirect
53. #2812C22semidirect
54. #2803C22semidirect
55. #2800C22semidirect
56. #2797C22semidirect
57. #2797C22semidirect
58. #2795C22semidirect
59. #2786C22semidirect
60. #2786C22semidirect
61. #2786C22semidirect
62. #2781C22semidirect
63. #2779C22semidirect
64. #2768C22semidirect
65. #2764C22semidirect
66. #2761C22semidirect
67. #2761C22semidirect
68. #2756C22semidirect
69. #2752C22semidirect
70. #2751C22semidirect
71. #2737C22semidirect
72. #2736C22semidirect
73. #2735C22semidirect
74. #2730C22semidirect
75. #2715C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2712C22semidirect
79. #2709C22semidirect
80. #2700C22semidirect
81. #2699C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2696C22semidirect
85. #2691C22semidirect
86. #2686C22semidirect
87. #2686C22semidirect
88. #2685C22semidirect
89. #2684C22semidirect
90. #2680C22semidirect
91. #2679C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2676C22semidirect
101. #2675C22semidirect
102. #2675C22semidirect
103. #2673C22semidirect
105. #2670C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2668C22semidirect
114. #2648C22semidirect
115. #2638C22semidirect
116. #2635C22semidirect
117. #2631C22semidirect
118. #2630C22semidirect
119. #2630C22semidirect
120. #2620C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
126. #2617C22semidirect
127. #2617C22semidirect
128. #2617C22semidirect
129. #2613C22semidirect
130. #2613C22semidirect
131. #2609C22semidirect
132. #2602C22semidirect
133. #2600C22semidirect
134. #2580C22semidirect
135. #2570C22semidirect
136. #2563C22semidirect
137. #2557C22semidirect
138. #2555C22semidirect
139. #2543C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2539C22semidirect
145. #2538C22semidirect
146. #2537C22semidirect
147. #2535C22semidirect
148. #2535C22semidirect
149. #2534C22semidirect
150. #2513C22semidirect
151. #2513C22semidirect
152. #2512C22semidirect
153. #2504C22semidirect
154. #2504C22semidirect
155. #2500C22semidirect
156. #2500C22semidirect
157. #2491C22semidirect
158. #2483C22semidirect
159. #2483C22semidirect
160. #2480C22semidirect
161. #2476C22semidirect
162. #2472C22semidirect
163. #2467C22semidirect
164. #2466C22semidirect
165. #2464C22semidirect
166. #2464C22semidirect
167. #2463C22semidirect
168. #2463C22semidirect
169. #2456C22semidirect
170. #2456C22semidirect
171. #2452C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2440C22semidirect
175. #2439C22semidirect
176. #2435C22semidirect
177. #2433C22semidirect
178. #2433C22semidirect
179. #2433C22semidirect
180. #2433C22semidirect
181. #2433C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2422C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2419C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2414C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2410C22semidirect
211. #2410C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
215. #2408C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2407C22semidirect
221. #2405C22semidirect
222. #2405C22semidirect
223. #2404C22semidirect
224. #2403C22semidirect
225. #2403C22semidirect
226. #2403C22semidirect
227. #2403C22semidirect
228. #2396C22semidirect
229. #2395C22semidirect
230. #2392C22semidirect
231. #2392C22semidirect
232. #2388C22semidirect
233. C2×#392C22semidirect
234. #2377C22semidirect
235. #2366C22semidirect
236. #2363C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2357C22semidirect
240. #2352C22semidirect
241. #2349C22semidirect
242. #2342C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2325C22semidirect
246. #2317C22semidirect
247. #2317C22semidirect
248. #2314C22semidirect
249. #2309C22semidirect
250. #2309C22semidirect
251. C4×#127C22semidirect
252. C4×#127C22semidirect
253. C4×#126C22semidirect
254. C4×#124C22semidirect
255. C4×#120C22semidirect
256. #2293C22semidirect
257. #2280C22semidirect
258. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#594122
#590262
#589972
#571492
#566602
#564132
#549192
#548152
#529692
#523092
#522452
#484562
#478382
#460422
#451882
#430982
#429712
#425222
#424752
#424712
#404982
#401522
#395522
#394052
#389532
#374502
#357412
#356912
#355402