Finite Group Databasebeta

← #8096738

Subgroups — #8096738

Order 512.

5922 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53103C211yesmaximal, characteristic, complemented
2#53087C212yesmaximal, complemented
3#53064C212yesmaximal, complemented
4#53007C211yesmaximal, characteristic, complemented
5#52741C212yesmaximal, complemented
6#52471C214yesmaximal, complemented
7#52339C214yesmaximal, complemented
8#52309C212yesmaximal, complemented
9#52299C211yesmaximal, characteristic, complemented
10C2×#2752C212yesmaximal, complemented
11#45732C214yesmaximal, complemented
12#45721C212yesmaximal, complemented
13#45697C211yesmaximal, characteristic, complemented
14#45647C212yesmaximal, complemented
15#45616C212yesmaximal, complemented
16#45588C214yesmaximal, complemented
17#45563C214yesmaximal, complemented
18#45550C214yesmaximal, complemented
19#45518C212yesmaximal, complemented
20#45473C212yesmaximal, complemented
21#36258C212yesmaximal, complemented
22#36218C212yesmaximal, complemented
23#36217C212yesmaximal, complemented
24#36214C212yesmaximal, complemented
25#36155C211yesmaximal, characteristic, complemented
26#36060C211yesmaximal, characteristic, complemented
27#35873C212yesmaximal, complemented
28#35750C212yesmaximal, complemented
29#35680C211yesmaximal, characteristic, complemented
30C22×H(5,𝔽2)C2211yescharacteristic
31C2×#547C2212yes—
32C2×#547C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×#546C2212yes—
35C2×#546C2212yes—
36C2×#546C2212yescomplemented
37C2×D42C2212yes—
38C2×C4×#41C2212yescomplemented
39C22×C4×D4C2211yescharacteristic, complemented
40#2856C2212yescomplemented
41#2855C2212yescomplemented
42#2855C2211yescharacteristic, complemented
43#2854C2214yescomplemented
44#2854C2214yescomplemented
45#2853C2214yescomplemented
46#2850C2212yescomplemented
47#2850C2212yescomplemented
48#2849C2212yescomplemented
49#2847C2214yescomplemented
50#2841C2212yescomplemented
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2829C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2827C2214yescomplemented
61#2826C2212yescomplemented
62#2826C2214yescomplemented
63#2826C2214yescomplemented
64#2825C2214yescomplemented
65#2823C2212yescomplemented
66#2815C2212yescomplemented
67#2815C2214yescomplemented
68#2812C2212yescomplemented
69#2803C2214yescomplemented
70#2801C2212yescomplemented
71#2797C2214yescomplemented
72#2796C2214yescomplemented
73#2796C2214yescomplemented
74#2796C2214yescomplemented
75#2795C2214yescomplemented
76#2795C2214yescomplemented
77#2795C2214yescomplemented
78#2792C2212yescomplemented
79#2790C2214yescomplemented
80#2780C2214yescomplemented
81#2780C2214yescomplemented
82#2760C2211yescharacteristic, complemented
83#2756C2214yescomplemented
84#2752C2212yescomplemented
85#2752C2212yescomplemented
86#2752C2214yescomplemented
87#2752C2214yescomplemented
88#2752C2214yescomplemented
89#2752C2212yescomplemented
90#2752C2211yescharacteristic, complemented
91#2752C2214yescomplemented
92#2752C2214yescomplemented
93#2752C2212yescomplemented
94#2752C2214yescomplemented
95#2749C2214yescomplemented
96#2746C2214yescomplemented
97#2746C2214yescomplemented
98#2746C2214yescomplemented
99#2742C2211yescharacteristic, complemented
100#2742C2212yescomplemented
101#2737C2214yescomplemented
102#2735C2212yescomplemented
103#2735C2214yescomplemented
104#2714C2214yescomplemented
105#2714C2214yescomplemented
106#2714C2214yescomplemented
107#2714C2214yescomplemented
108#2705C2214yescomplemented
109#2703C2212yescomplemented
110#2703C2212yescomplemented
111#2703C2212yescomplemented
112#2699C2214yescomplemented
113#2699C2214yescomplemented
114#2697C2212yescomplemented
115#2688C2214yescomplemented
116#2685C2214yescomplemented
117#2678C2214yescomplemented
118#2678C2214yescomplemented
119#2675C2211yescharacteristic, complemented
120#2668C2214yescomplemented
121#2658C2211yescharacteristic, complemented
122#2656C2212yescomplemented
123#2644C2212yescomplemented
124#2643C2214yescomplemented
125#2616C2212yescomplemented
126#2615C2211yescharacteristic
127#2613C2212yes—
128#2613C2214yescomplemented
129#2548C2212yescomplemented
130#2545C2212yescomplemented
131#2544C2212yescomplemented
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2542C2211yescharacteristic, complemented
135#2542C2212yescomplemented
136#2540C2212yescomplemented
137#2540C2211yescharacteristic, complemented
138#2539C2212yescomplemented
139#2539C2214yescomplemented
140#2538C2212yescomplemented
141#2536C2212yescomplemented
142#2535C2212yescomplemented
143#2534C2214yescomplemented
144#2534C2214yescomplemented
145#2513C2212yescomplemented
146#2513C2212yescomplemented
147#2512C2212yescomplemented
148#2510C2214yescomplemented
149#2510C2214yescomplemented
150#2503C2211yescharacteristic, complemented
151#2501C2212yescomplemented
152#2501C2214yescomplemented
153#2499C2212yescomplemented
154#2498C2214yescomplemented
155#2496C2212yescomplemented
156#2495C2212yescomplemented
157#2494C2212yescomplemented
158#2486C2211yescharacteristic, complemented
159#2485C2212yescomplemented
160#2484C2214yescomplemented
161#2483C2212yescomplemented
162#2481C2214yescomplemented
163#2480C2214yescomplemented
164#2480C2214yescomplemented
165#2480C2214yescomplemented
166#2447C2212yescomplemented
167#2446C2212yescomplemented
168#2446C2212yescomplemented
169#2444C2214yescomplemented
170#2444C2214yescomplemented
171#2443C2214yescomplemented
172#2435C2212yescomplemented
173#2433C2211yescharacteristic
174#2432C2212yescomplemented
175#2432C2212yescomplemented
176#2431C2212yes—
177#2430C2212yes—
178#2430C2214yescomplemented
179#2429C2212yescomplemented
180#2428C2212yescomplemented
181#2427C2212yescomplemented
182#2426C2212yescomplemented
183#2426C2212yescomplemented
184#2426C2212yescomplemented
185#2425C2214yescomplemented
186#2425C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2423C2212yescomplemented
192#2421C2212yescomplemented
193#2420C2212yescomplemented
194#2419C2214yescomplemented
195#2419C2214yescomplemented
196#2419C2214yescomplemented
197#2417C2212yescomplemented
198#2416C2212yescomplemented
199#2416C2214yescomplemented
200#2415C2212yescomplemented
201#2414C2212yescomplemented
202#2414C2212yescomplemented
203#2414C2212yescomplemented
204#2413C2214yescomplemented
205#2412C2214yescomplemented
206#2412C2212yescomplemented
207#2411C2214yescomplemented
208#2411C2214yescomplemented
209#2411C2214yescomplemented
210#2410C2214yes—
211#2410C2214yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2408C2211yescharacteristic
215#2408C2212yescomplemented
216#2408C2214yescomplemented
217#2407C2212yes—
218#2407C2212yescomplemented
219#2407C2212yescomplemented
220#2406C2214yescomplemented
221#2405C2214yescomplemented
222#2405C2214yescomplemented
223#2404C2212yes—
224#2403C2214yes—
225#2401C2212yescomplemented
226#2397C2211yescharacteristic, complemented
227C2×#399C2212yescomplemented
228C2×#397C2214yescomplemented
229#2388C2211yescharacteristic
230#2388C2212yescomplemented
231C2×#394C2214yescomplemented
232C2×#392C2212yes—
233#2383C2214yescomplemented
234#2377C2214yescomplemented
235#2377C2214yescomplemented
236#2375C2214yescomplemented
237#2375C2212yescomplemented
238#2349C2212yescomplemented
239#2349C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241#2339C2212yes—
242#2339C2211yescharacteristic
243#2339C2212yescomplemented
244D4×C22⋊C4C2212yes—
245D4×C22⋊C4C2212yes—
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2211yescharacteristic, complemented
248C4×#123C2211yescharacteristic, complemented
249C4×#123C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C2×#390C2214yescomplemented
254C2×#388C2214yescomplemented
255C2×#387C2214yescomplemented
256C2×#386C2214yescomplemented
257C2×#381C2212yescomplemented
258#2275C2211yescharacteristic, complemented
259C2×H(5,𝔽2)—48no—
260C2×H(5,𝔽2)—44no—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C22×#41C2312yes—
266C23×D4C2312yes—
267C23×D4C2311yescharacteristic
268C23×D4C2312yes—
269C23×D4C2314yes—
270C23×D4C2311yescharacteristic
271C23×D4C2314yes—
272C24×C4C2312yes—
273#547—48no—
274#547—44no—
275#546—48no—
276#546—48no—
277#546—44no—
278#546—48no—
279D42—48no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2312yes—
282C2×#127C2312yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2311yescharacteristic
289C2×#123C2311yescharacteristic
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2312yes—
296C2×#123C2314yes—
297C2×#123C2312yes—
298C2×#123C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2311yescharacteristic
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#120C2314yes—
327C2×#120C2314yes—
328C2×#120C2312yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2312yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C4×#41—48no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4—44no—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117C2314yes—
356C2×#117C2312yes—
357C22×C4⋊C4C2314yes—
358C22×C4⋊C4C2314yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C22⋊C4C2314yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2314yes—
365C22×C22⋊C4C2314yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2314yes—
369C22×C22⋊C4C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2312yes—
372C22×C42C2314yes—
373#401C2314yes—
374#401C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#399C2314yes—
385#399C2314yes—
386#399C2312yes—
387#399C2312yes—
388#399C2312yes—
389#399C2312yes—
390#399C2314yes—
391#399C2312yes—
392#399C2314yes—
393#399C2311yescharacteristic
394#399C2314yes—
395#399C2312yes—
396#399C2311yescharacteristic
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2312yes—
443#395C2314yes—
444#395C2311yescharacteristic
445#394C2311yescharacteristic
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#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#393C2312yes—
482#393C2311yescharacteristic
483#393C2312yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2312yes—
491#392C2312yes—
492#392C2312yes—
493#392C2312yes—
494#392C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2311yescharacteristic
500#392C2314yes—
501#392C2312yes—
502#392C2312yes—
503#392C2311yescharacteristic
504#392C2311yescharacteristic
505#392C2312yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
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#386C2311yescharacteristic
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#385C2311yescharacteristic
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#384C2312yes—
662#384C2312yes—
663#384C2314yes—
664#383C2314yes—
665#382C2312yes—
666#382C2312yes—
667#381C2312yes—
668#381C2312yes—
669#381C2312yes—
670#381C2312yes—
671#381C2314yes—
672#381C2314yes—
673#381C2314yes—
674#381C2312yes—
675#381C2312yes—
676#381C2314yes—
677#381C2314yes—
678#381C2311yescharacteristic
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2311yescharacteristic
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#379C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2311yescharacteristic
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716#376C2311yescharacteristic
717C2×#95C2312yes—
718C2×#95C2314yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2414yes—
725C25C2412yes—
726H(5,𝔽2)—464no—
727C2×#41—28no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—24no—
731C2×#41—28no—
732C2×#41—44no—
733C2×#41—42no—
734C2×#41—44no—
735C2×#41—48no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C22×Q8C2412yes—
740C22×Q8C2411yescharacteristic
741C22×Q8C2411yescharacteristic
742C22×D4—24no—
743C22×D4—28no—
744C22×D4—28no—
745C22×D4—28no—
746C22×D4—28no—
747C22×D4—42no—
748C22×D4—44no—
749C22×D4—48no—
750C22×D4—44no—
751C22×D4—48no—
752C22×D4—48no—
753C22×D4—48no—
754C22×D4—48no—
755C22×D4—48no—
756C22×D4—48no—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2411yescharacteristic
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2411yescharacteristic
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2411yescharacteristic
783C23×C4—44no—
784C23×C4—44no—
785C23×C4—82no—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2411yescharacteristic
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C4⋊Q8—44no—
805C4⋊Q8—42no—
806#127—44no—
807#126—48no—
808#126—84no—
809#124—44no—
810#124—44no—
811#124—42no—
812#124—44no—
813#123—44no—
814#123—42no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—44no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—82no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8—42no—
826C22⋊Q8—44no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830#121—44no—
831#121—44no—
832#121—44no—
833#121—48no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—42no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—44no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—44no—
848#121—84no—
849#121—84no—
850#120—48no—
851#120—48no—
852#120—48no—
853#120—48no—
854#120—48no—
855#120—48no—
856#120—44no—
857#120—44no—
858#120—84no—
859C4×Q8—44no—
860C4×Q8—44no—
861C4×D4—28no—
862C4×D4—28no—
863C4×D4—28no—
864C4×D4—28no—
865C4×D4—24no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—42no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—42no—
874C4×D4—48no—
875C4×D4—48no—
876C4×D4—48no—
877#117—48no—
878#117—44no—
879C2×C4⋊C4—48no—
880C2×C4⋊C4—42no—
881C2×C4⋊C4—48no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C22⋊C4—48no—
924C2×C22⋊C4—44no—
925C2×C22⋊C4—48no—
926C2×C22⋊C4—48no—
927C2×C22⋊C4—48no—
928C2×C22⋊C4—44no—
929C2×C22⋊C4—84no—
930C2×C22⋊C4—84no—
931C2×C22⋊C4—82no—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2411yescharacteristic
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2411yescharacteristic
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C42—42no—
1008C2×C42—44no—
1009C2×C42—48no—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023#95C2411yescharacteristic
1024#95C2412yes—
1025#95C2412yes—
1026#95C2411yescharacteristic
1027#95C2412yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2411yescharacteristic
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—24no—
1075C24—24no—
1076C24—28no—
1077C24—28no—
1078C24—28no—
1079C24—28no—
1080C24—42no—
1081C24—44no—
1082C24—44no—
1083C24—42no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—42no—
1090C24—42no—
1091C24C2511yescharacteristic
1092C24C2512yes—
1093C24C2514yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2511yescharacteristic
1097C24C2512yes—
1098#41—432no—
1099#41—432no—
1100#41—416no—
1101#41—432no—
1102#41—416no—
1103C2×Q8—24no—
1104C2×Q8—24no—
1105C2×Q8—24no—
1106C2×Q8—22no—
1107C2×Q8—24no—
1108C2×Q8—41no—
1109C2×Q8—42no—
1110C2×D4—24no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—22no—
1122C2×D4—28no—
1123C2×D4—24no—
1124C2×D4—22no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—28no—
1131C2×D4—42no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—41no—
1146C2×D4—42no—
1147C2×D4—41no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—41no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—44no—
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—464no—
1179C2×D4—432no—
1180C2×D4—416no—
1181C2×D4—416no—
1182C2×D4—432no—
1183C2×D4—832no—
1184C2×D4H(5,𝔽2)14yes—
1185C2×D4H(5,𝔽2)18yes—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—24no—
1191C22×C4—28no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—24no—
1196C22×C4—28no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—24no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—41no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—816no—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2514yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—22no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—41no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—41no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—41no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C42—24no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—42no—
1379C42—42no—
1380C42—44no—
1381C42—42no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—42no—
1386C23—24no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—22no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—24no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—24no—
1401C23—24no—
1402C23—22no—
1403C23—21no—
1404C23—22no—
1405C23—24no—
1406C23—24no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—24no—
1413C23—24no—
1414C23—24no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—21no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—48no—
1425C23—416no—
1426C23—48no—
1427C23—48no—
1428C23—416no—
1429C23—84no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—88no—
1434C23—88no—
1435C23—88no—
1436C23—88no—
1437C23—164no—
1438C23—162no—
1439C23—162no—
1440C23—164no—
1441C23C2×H(5,𝔽2)18yes—
1442C23C2×H(5,𝔽2)14yes—
1443C23#58512yes—
1444C23C2611yescharacteristic
1445Q8—44no—
1446Q8—48no—
1447Q8—44no—
1448D4—48no—
1449D4—48no—
1450D4—44no—
1451D4—48no—
1452D4—416no—
1453D4—48no—
1454D4—416no—
1455D4—48no—
1456D4—416no—
1457D4—44no—
1458D4—48no—
1459D4—88no—
1460D4—84no—
1461D4—82no—
1462D4—88no—
1463D4—84no—
1464D4—82no—
1465D4—84no—
1466D4—84no—
1467D4—88no—
1468D4—162no—
1469D4—164no—
1470D4—164no—
1471D4—164no—
1472D4—164no—
1473D4#560116yes—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—416no—
1532C2×C4—44no—
1533C2×C4—416no—
1534C2×C4—48no—
1535C2×C4—416no—
1536C2×C4—44no—
1537C2×C4—48no—
1538C2×C4—44no—
1539C2×C4—48no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—88no—
1545C2×C4—84no—
1546C2×C4—82no—
1547C2×C4—84no—
1548C2×C4—88no—
1549C2×C4C2×H(5,𝔽2)14yes—
1550C2×C4C2×H(5,𝔽2)12yes—
1551C2×C4#58514yes—
1552C22—28no—
1553C22—24no—
1554C22—24no—
1555C22—28no—
1556C22—24no—
1557C22—22no—
1558C22—41no—
1559C22—42no—
1560C22—41no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—44no—
1565C22—44no—
1566C22—42no—
1567C22—44no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22—44no—
1574C22—42no—
1575C22—41no—
1576C22—42no—
1577C22—44no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—44no—
1583C22—44no—
1584C22—44no—
1585C22—42no—
1586C22—42no—
1587C22—44no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—42no—
1592C22—816no—
1593C22—1616no—
1594C22—168no—
1595C22C2×#56018yes—
1596C22C22×H(5,𝔽2)12yes—
1597C22C22×H(5,𝔽2)11yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22C2×#58512yes—
1600C22H(7,𝔽2)11yescharacteristic
1601C4—24no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—41no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—44no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—44no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—42no—
1620C4—41no—
1621C4—44no—
1622C4C2×#56014yes—
1623C2—28no—
1624C2—42no—
1625C2—82no—
1626C2—82no—
1627C2—82no—
1628C2—84no—
1629C2—81no—
1630C2C22×#56011yescharacteristic
1631C2#6291811yescharacteristic
1632C2#6292012yes—
1633C2#6301712yes—
1634C2#6302111yescharacteristic
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. #53103C2semidirect
2. #53087C2semidirect
3. #53064C2semidirect
4. #53007C2semidirect
5. #52741C2semidirect
6. #52471C2semidirect
7. #52339C2semidirect
8. #52309C2semidirect
9. #52299C2semidirect
10. C2×#2752C2semidirect
11. #45732C2semidirect
12. #45721C2semidirect
13. #45697C2semidirect
14. #45647C2semidirect
15. #45616C2semidirect
16. #45588C2semidirect
17. #45563C2semidirect
18. #45550C2semidirect
19. #45518C2semidirect
20. #45473C2semidirect
21. #36258C2semidirect
22. #36218C2semidirect
23. #36217C2semidirect
24. #36214C2semidirect
25. #36155C2semidirect
26. #36060C2semidirect
27. #35873C2semidirect
28. #35750C2semidirect
29. #35680C2semidirect
32. C2×#547C22semidirect
36. C2×#546C22semidirect
38. C2×C4×#41C22semidirect
39. C22×C4×D4C22semidirect
40. #2856C22semidirect
41. #2855C22semidirect
42. #2855C22semidirect
43. #2854C22semidirect
44. #2854C22semidirect
45. #2853C22semidirect
46. #2850C22semidirect
47. #2850C22semidirect
48. #2849C22semidirect
49. #2847C22semidirect
50. #2841C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2829C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2827C22semidirect
61. #2826C22semidirect
62. #2826C22semidirect
63. #2826C22semidirect
64. #2825C22semidirect
65. #2823C22semidirect
66. #2815C22semidirect
67. #2815C22semidirect
68. #2812C22semidirect
69. #2803C22semidirect
70. #2801C22semidirect
71. #2797C22semidirect
72. #2796C22semidirect
73. #2796C22semidirect
74. #2796C22semidirect
75. #2795C22semidirect
76. #2795C22semidirect
77. #2795C22semidirect
78. #2792C22semidirect
79. #2790C22semidirect
80. #2780C22semidirect
81. #2780C22semidirect
82. #2760C22semidirect
83. #2756C22semidirect
84. #2752C22semidirect
85. #2752C22semidirect
86. #2752C22semidirect
87. #2752C22semidirect
88. #2752C22semidirect
89. #2752C22semidirect
90. #2752C22semidirect
91. #2752C22semidirect
92. #2752C22semidirect
93. #2752C22semidirect
94. #2752C22semidirect
95. #2749C22semidirect
96. #2746C22semidirect
97. #2746C22semidirect
98. #2746C22semidirect
99. #2742C22semidirect
100. #2742C22semidirect
101. #2737C22semidirect
102. #2735C22semidirect
103. #2735C22semidirect
104. #2714C22semidirect
105. #2714C22semidirect
106. #2714C22semidirect
107. #2714C22semidirect
108. #2705C22semidirect
109. #2703C22semidirect
110. #2703C22semidirect
111. #2703C22semidirect
112. #2699C22semidirect
113. #2699C22semidirect
114. #2697C22semidirect
115. #2688C22semidirect
116. #2685C22semidirect
117. #2678C22semidirect
118. #2678C22semidirect
119. #2675C22semidirect
120. #2668C22semidirect
121. #2658C22semidirect
122. #2656C22semidirect
123. #2644C22semidirect
124. #2643C22semidirect
125. #2616C22semidirect
128. #2613C22semidirect
129. #2548C22semidirect
130. #2545C22semidirect
131. #2544C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
134. #2542C22semidirect
135. #2542C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2539C22semidirect
139. #2539C22semidirect
140. #2538C22semidirect
141. #2536C22semidirect
142. #2535C22semidirect
143. #2534C22semidirect
144. #2534C22semidirect
145. #2513C22semidirect
146. #2513C22semidirect
147. #2512C22semidirect
148. #2510C22semidirect
149. #2510C22semidirect
150. #2503C22semidirect
151. #2501C22semidirect
152. #2501C22semidirect
153. #2499C22semidirect
154. #2498C22semidirect
155. #2496C22semidirect
156. #2495C22semidirect
157. #2494C22semidirect
158. #2486C22semidirect
159. #2485C22semidirect
160. #2484C22semidirect
161. #2483C22semidirect
162. #2481C22semidirect
163. #2480C22semidirect
164. #2480C22semidirect
165. #2480C22semidirect
166. #2447C22semidirect
167. #2446C22semidirect
168. #2446C22semidirect
169. #2444C22semidirect
170. #2444C22semidirect
171. #2443C22semidirect
172. #2435C22semidirect
174. #2432C22semidirect
175. #2432C22semidirect
178. #2430C22semidirect
179. #2429C22semidirect
180. #2428C22semidirect
181. #2427C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
184. #2426C22semidirect
185. #2425C22semidirect
186. #2425C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2423C22semidirect
192. #2421C22semidirect
193. #2420C22semidirect
194. #2419C22semidirect
195. #2419C22semidirect
196. #2419C22semidirect
197. #2417C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2415C22semidirect
201. #2414C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2413C22semidirect
205. #2412C22semidirect
206. #2412C22semidirect
207. #2411C22semidirect
208. #2411C22semidirect
209. #2411C22semidirect
211. #2410C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
215. #2408C22semidirect
216. #2408C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2406C22semidirect
221. #2405C22semidirect
222. #2405C22semidirect
225. #2401C22semidirect
226. #2397C22semidirect
227. C2×#399C22semidirect
228. C2×#397C22semidirect
230. #2388C22semidirect
231. C2×#394C22semidirect
233. #2383C22semidirect
234. #2377C22semidirect
235. #2377C22semidirect
236. #2375C22semidirect
237. #2375C22semidirect
238. #2349C22semidirect
239. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
243. #2339C22semidirect
247. D4×C22⋊C4C22semidirect
248. C4×#123C22semidirect
249. C4×#123C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C2×#390C22semidirect
254. C2×#388C22semidirect
255. C2×#387C22semidirect
256. C2×#386C22semidirect
257. C2×#381C22semidirect
258. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#531032
#530872
#530642
#530072
#527412
#524712
#523392
#523092
#522992
C2×#27522
#457322
#457212
#456972
#456472
#456162
#455882
#455632
#455502
#455182
#454732
#362582
#362182
#362172
#362142
#361552
#360602
#358732
#357502
#356802