Finite Group Databasebeta

← #8094451

Subgroups — #8094451

Order 512.

5901 conjugacy classes of subgroups.

The subgroup lattice has 2001 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53073C212yesmaximal, complemented
2#53064C212yesmaximal, complemented
3#53059C212yesmaximal, complemented
4#53055C212yesmaximal, complemented
5#53022C212yesmaximal, complemented
6#53014C212yesmaximal, complemented
7#52969C212yesmaximal, complemented
8#52966C212yesmaximal, complemented
9#52369C214yesmaximal, complemented
10#52313C214yesmaximal, complemented
11#45727C214yesmaximal, complemented
12#45708C212yesmaximal, complemented
13#45683C212yesmaximal, complemented
14#45647C212yesmaximal, complemented
15#45604C212yesmaximal, complemented
16#45600C212yesmaximal, complemented
17#45599C212yesmaximal, complemented
18#45598C212yesmaximal, complemented
19#45508C212yesmaximal, complemented
20#45473C214yesmaximal, complemented
21#35629C211yesmaximal, characteristic, complemented
22#35565C211yesmaximal, characteristic, complemented
23#35564C211yesmaximal, characteristic, complemented
24#35545C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35328C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35168C211yesmaximal, characteristic, complemented
32#35165C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic, complemented
35C2×#2420C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic, complemented
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic, complemented
43C2×#535C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#525C2211yescharacteristic
47C2×#525C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C2×#520C2211yescharacteristic, complemented
50C2×C4×#41C2211yescharacteristic, complemented
51C22×C4×D4C2211yescharacteristic, complemented
52#2856C2212yescomplemented
53#2850C2212yescomplemented
54#2850C2212yescomplemented
55#2850C2212yescomplemented
56#2848C2212yescomplemented
57#2847C2212yes—
58#2847C2212yes—
59#2847C2212yescomplemented
60#2847C2214yescomplemented
61#2847C2214yescomplemented
62#2841C2214yescomplemented
63#2838C2214yescomplemented
64#2830C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2828C2214yescomplemented
68#2828C2214yescomplemented
69#2828C2214yescomplemented
70#2827C2214yescomplemented
71#2826C2214yescomplemented
72#2825C2214yescomplemented
73#2825C2214yescomplemented
74#2825C2214yescomplemented
75#2825C2214yescomplemented
76#2824C2214yescomplemented
77#2818C2214yescomplemented
78#2815C2214yescomplemented
79#2815C2214yescomplemented
80#2813C2214yescomplemented
81#2812C2214yescomplemented
82#2803C2214yescomplemented
83#2797C2214yescomplemented
84#2797C2214yescomplemented
85#2796C2214yescomplemented
86#2778C2214yescomplemented
87#2778C2214yescomplemented
88#2778C2214yescomplemented
89#2760C2214yescomplemented
90#2757C2214yescomplemented
91#2756C2214yescomplemented
92#2756C2214yescomplemented
93#2752C2214yescomplemented
94#2749C2214yescomplemented
95#2749C2214yescomplemented
96#2749C2214yescomplemented
97#2748C2214yescomplemented
98#2746C2214yescomplemented
99#2746C2214yescomplemented
100#2737C2214yescomplemented
101#2737C2214yescomplemented
102#2737C2214yescomplemented
103#2714C2214yescomplemented
104#2709C2214yescomplemented
105#2703C2214yescomplemented
106#2703C2214yescomplemented
107#2699C2214yescomplemented
108#2699C2214yescomplemented
109#2691C2214yescomplemented
110#2688C2214yescomplemented
111#2688C2214yescomplemented
112#2688C2214yescomplemented
113#2685C2214yescomplemented
114#2678C2214yescomplemented
115#2673C2214yescomplemented
116#2673C2214yescomplemented
117#2673C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2668C2214yescomplemented
121#2668C2214yescomplemented
122#2621C2212yescomplemented
123#2620C2212yescomplemented
124#2619C2212yescomplemented
125#2619C2212yescomplemented
126#2617C2214yescomplemented
127#2617C2214yescomplemented
128#2616C2212yescomplemented
129#2615C2212yes—
130#2615C2212yes—
131#2615C2212yescomplemented
132#2548C2212yescomplemented
133#2547C2212yescomplemented
134#2545C2212yescomplemented
135#2544C2212yescomplemented
136#2544C2212yescomplemented
137#2544C2212yescomplemented
138#2543C2214yescomplemented
139#2543C2214yescomplemented
140#2543C2214yescomplemented
141#2541C2212yes—
142#2541C2212yes—
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2541C2212yescomplemented
147#2540C2212yes—
148#2540C2212yes—
149#2540C2212yescomplemented
150#2540C2212yescomplemented
151#2539C2214yescomplemented
152#2537C2212yescomplemented
153#2537C2212yescomplemented
154#2536C2212yescomplemented
155#2536C2212yescomplemented
156#2535C2212yescomplemented
157#2535C2212yescomplemented
158#2535C2212yescomplemented
159#2535C2212yescomplemented
160#2514C2212yescomplemented
161#2514C2212yescomplemented
162#2514C2212yescomplemented
163#2513C2212yescomplemented
164#2513C2212yescomplemented
165#2513C2212yescomplemented
166#2512C2212yescomplemented
167#2511C2212yescomplemented
168#2510C2214yescomplemented
169#2510C2214yescomplemented
170#2510C2214yescomplemented
171#2497C2212yescomplemented
172#2496C2212yescomplemented
173#2495C2212yescomplemented
174#2495C2212yescomplemented
175#2495C2212yescomplemented
176#2494C2212yescomplemented
177#2494C2212yescomplemented
178#2494C2212yescomplemented
179#2487C2212yescomplemented
180#2486C2212yescomplemented
181#2485C2212yescomplemented
182#2485C2212yescomplemented
183#2481C2214yescomplemented
184#2436C2212yes—
185#2436C2211yescharacteristic, complemented
186#2435C2211yescharacteristic, complemented
187#2434C2211yescharacteristic, complemented
188#2433C2212yes—
189#2433C2214yes—
190#2433C2211yescharacteristic, complemented
191#2432C2211yescharacteristic, complemented
192#2432C2211yescharacteristic, complemented
193#2431C2212yes—
194#2431C2212yes—
195#2431C2211yescharacteristic, complemented
196#2431C2211yescharacteristic, complemented
197#2430C2212yes—
198#2430C2214yes—
199#2430C2212yes—
200#2429C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2427C2212yescomplemented
211#2427C2212yescomplemented
212#2427C2212yescomplemented
213#2426C2212yescomplemented
214#2426C2212yescomplemented
215#2426C2212yescomplemented
216#2424C2214yescomplemented
217#2424C2214yescomplemented
218#2424C2214yescomplemented
219#2424C2214yescomplemented
220#2423C2211yescharacteristic, complemented
221#2423C2211yescharacteristic, complemented
222#2423C2212yescomplemented
223#2422C2211yescharacteristic, complemented
224#2422C2212yescomplemented
225#2422C2211yescharacteristic, complemented
226#2421C2211yescharacteristic, complemented
227#2421C2212yescomplemented
228#2421C2211yescharacteristic, complemented
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yescomplemented
234#2420C2211yescharacteristic, complemented
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2420C2212yescomplemented
238#2420C2212yescomplemented
239#2420C2211yescharacteristic, complemented
240#2419C2212yescomplemented
241#2419C2214yescomplemented
242#2419C2212yescomplemented
243#2418C2212yes—
244#2418C2214yes—
245#2418C2212yes—
246#2417C2212yescomplemented
247#2416C2212yescomplemented
248#2416C2212yescomplemented
249#2416C2212yescomplemented
250#2416C2214yescomplemented
251#2415C2212yescomplemented
252#2414C2212yescomplemented
253#2414C2212yescomplemented
254#2414C2212yescomplemented
255#2410C2212yes—
256#2410C2214yes—
257#2410C2212yes—
258#2409C2212yescomplemented
259#2408C2212yescomplemented
260#2407C2212yescomplemented
261#2407C2212yescomplemented
262#2404C2214yes—
263#2403C2214yes—
264#2395C2212yescomplemented
265#2395C2212yescomplemented
266C2×#397C2212yescomplemented
267#2388C2212yescomplemented
268#2388C2212yescomplemented
269C2×#394C2212yes—
270#2380C2214yescomplemented
271#2377C2214yescomplemented
272#2377C2214yescomplemented
273#2375C2214yescomplemented
274#2317C2211yescharacteristic, complemented
275#2316C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283C4×#120C2212yescomplemented
284C4×#120C2212yescomplemented
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic, complemented
288#2296C2211yescharacteristic, complemented
289C2×#390C2211yescharacteristic, complemented
290C2×#389C2211yescharacteristic, complemented
291C2×#386C2212yes—
292#2285C2211yescharacteristic, complemented
293C2×#382C2211yescharacteristic, complemented
294#2280C2211yescharacteristic
295C2×#381C2212yescomplemented
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C23×D4C2312yes—
315C24×C4C2311yescharacteristic
316C24×C4C2312yes—
317C24×C4C2312yes—
318#537—44no—
319#537—44no—
320#537—44no—
321#535—44no—
322#535—44no—
323#535—44no—
324#535—44no—
325#532—44no—
326#532—44no—
327C2×C4⋊Q8C2311yescharacteristic
328C2×C4⋊Q8C2311yescharacteristic
329C2×#127C2312yes—
330C2×#127C2311yescharacteristic
331C2×#127C2314yes—
332C2×#127C2311yescharacteristic
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2314yes—
337C2×#126C2314yes—
338C2×#124C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346#525—44no—
347#525—44no—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×#121—44no—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2311yescharacteristic
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413#520—44no—
414C4×#41—44no—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2312yes—
418C2×C4×D4—44no—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2312yes—
442C2×#117C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2311yescharacteristic
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2312yes—
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457C22×C42C2312yes—
458#401C2314yes—
459#401C2314yes—
460#401C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2312yes—
467#400C2314yes—
468#400C2312yes—
469#399C2314yes—
470#399C2314yes—
471#399C2312yes—
472#399C2314yes—
473#399C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2312yes—
479#398C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2314yes—
503#397C2312yes—
504#397C2312yes—
505#397C2312yes—
506#397C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#395C2312yes—
515#395C2314yes—
516#395C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#393C2312yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2312yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2312yes—
584#392C2312yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2312yes—
591#392C2312yes—
592#392C2314yes—
593#392C2314yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2312yes—
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#383C2314yes—
750#383C2314yes—
751#383C2314yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2311yescharacteristic
758#382C2311yescharacteristic
759#381C2314yes—
760#381C2314yes—
761#381C2312yes—
762#381C2312yes—
763#381C2312yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#379C2314yes—
794#379C2312yes—
795#379C2312yes—
796#379C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2314yes—
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2412yes—
830C25C2412yes—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—464no—
856C22×Q8—42no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×D4—24no—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—82no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C23×C4—24no—
911C23×C4—24no—
912C23×C4—24no—
913C23×C4—44no—
914C23×C4—44no—
915C23×C4—44no—
916C23×C4—44no—
917C23×C4—44no—
918C23×C4—82no—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C4⋊Q8—42no—
945C4⋊Q8—42no—
946#127—42no—
947#127—42no—
948#127—44no—
949#127—44no—
950#127—44no—
951#127—44no—
952#127—48no—
953#127—84no—
954#126—84no—
955#124—42no—
956#124—42no—
957#124—42no—
958#124—42no—
959#124—44no—
960#124—44no—
961#124—44no—
962#124—44no—
963#123—44no—
964#123—44no—
965#123—44no—
966#123—44no—
967#123—84no—
968C22⋊Q8—42no—
969C22⋊Q8—42no—
970C22⋊Q8—42no—
971C22⋊Q8—42no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978#121—48no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—48no—
984#121—42no—
985#121—42no—
986#121—42no—
987#121—42no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—48no—
1007#121—48no—
1008#121—48no—
1009#121—84no—
1010#121—84no—
1011#121—84no—
1012#121—84no—
1013#121—84no—
1014#121—84no—
1015#121—84no—
1016#120—44no—
1017#120—44no—
1018#120—48no—
1019#120—44no—
1020#120—44no—
1021#120—48no—
1022#120—48no—
1023#120—48no—
1024#120—48no—
1025#120—84no—
1026#120—84no—
1027C4×Q8—42no—
1028C4×Q8—42no—
1029C4×Q8—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—48no—
1048#117—24no—
1049#117—24no—
1050#117—24no—
1051#117—24no—
1052#117—44no—
1053#117—44no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—44no—
1058C2×C4⋊C4—82no—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C22⋊C4—42no—
1102C2×C22⋊C4—42no—
1103C2×C22⋊C4—44no—
1104C2×C22⋊C4—44no—
1105C2×C22⋊C4—82no—
1106C2×C22⋊C4—82no—
1107C2×C22⋊C4—82no—
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C42—24no—
1190C2×C42—24no—
1191C2×C42—44no—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265C24—24no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—24no—
1271C24—24no—
1272C24—24no—
1273C24—41no—
1274C24—41no—
1275C24—42no—
1276C24—42no—
1277C24—42no—
1278C24—42no—
1279C24—42no—
1280C24—42no—
1281C24—42no—
1282C24—41no—
1283C24—42no—
1284C24—42no—
1285C24—42no—
1286C24C2514yes—
1287C24C2511yescharacteristic
1288C24C2512yes—
1289C24C2512yes—
1290C24C2512yes—
1291C24C2512yes—
1292C24C2511yescharacteristic
1293C24C2511yescharacteristic
1294#41—432no—
1295#41—416no—
1296#41—416no—
1297#41—432no—
1298#41—416no—
1299#41—416no—
1300#41—416no—
1301#41—416no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—416no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—432no—
1421C2×D4—416no—
1422C2×D4—416no—
1423C2×D4—816no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—28no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—41no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—41no—
1481C22×C4—42no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—44no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—432no—
1497C22×C4—416no—
1498C22×C4—816no—
1499C22×C4H(5,𝔽2)14yes—
1500C22×C4H(5,𝔽2)14yes—
1501C22×C4H(5,𝔽2)14yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2514yes—
1505C22×C4C2514yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2514yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2511yescharacteristic
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—22no—
1577C22⋊C4—24no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—41no—
1583C22⋊C4—41no—
1584C22⋊C4—41no—
1585C22⋊C4—41no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—42no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—24no—
1661C42—24no—
1662C42—24no—
1663C42—24no—
1664C42—42no—
1665C42—42no—
1666C42—44no—
1667C42—44no—
1668C42—44no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—24no—
1684C23—24no—
1685C23—24no—
1686C23—21no—
1687C23—21no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—24no—
1707C23—22no—
1708C23—24no—
1709C23—21no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—24no—
1716C23—24no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—21no—
1721C23—44no—
1722C23—44no—
1723C23—44no—
1724C23—48no—
1725C23—48no—
1726C23—48no—
1727C23—44no—
1728C23—48no—
1729C23—84no—
1730C23—82no—
1731C23—84no—
1732C23—82no—
1733C23—82no—
1734C23—84no—
1735C23—84no—
1736C23—84no—
1737C23—84no—
1738C23—84no—
1739C23—84no—
1740C23—84no—
1741C23—84no—
1742C23C2×H(5,𝔽2)12yes—
1743C23C2×H(5,𝔽2)12yes—
1744C23C2×H(5,𝔽2)12yes—
1745C23#58512yes—
1746C23C2611yescharacteristic
1747Q8—48no—
1748Q8—44no—
1749Q8—44no—
1750Q8—44no—
1751Q8—44no—
1752D4—48no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—48no—
1759D4—48no—
1760D4—48no—
1761D4—44no—
1762D4—44no—
1763D4—44no—
1764D4—44no—
1765D4—84no—
1766D4—84no—
1767D4—84no—
1768D4—88no—
1769D4—84no—
1770D4—84no—
1771D4—84no—
1772D4—84no—
1773D4—84no—
1774D4—88no—
1775D4—164no—
1776D4—164no—
1777D4—164no—
1778D4—164no—
1779D4—164no—
1780D4—164no—
1781D4—164no—
1782D4—164no—
1783D4—164no—
1784D4—164no—
1785D4—164no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—24no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—24no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—44no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—48no—
1864C2×C4—44no—
1865C2×C4—44no—
1866C2×C4—44no—
1867C2×C4—44no—
1868C2×C4—44no—
1869C2×C4—48no—
1870C2×C4—48no—
1871C2×C4—48no—
1872C2×C4—48no—
1873C2×C4—88no—
1874C2×C4—84no—
1875C2×C4—82no—
1876C2×C4—82no—
1877C2×C4—82no—
1878C2×C4—84no—
1879C2×C4—84no—
1880C2×C4—84no—
1881C2×C4—84no—
1882C2×C4—88no—
1883C2×C4—164no—
1884C2×C4#560116yes—
1885C2×C4C2×H(5,𝔽2)12yes—
1886C2×C4C2×H(5,𝔽2)12yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4C2×H(5,𝔽2)12yes—
1889C2×C4C2×H(5,𝔽2)12yes—
1890C2×C4C2×H(5,𝔽2)12yes—
1891C2×C4#58512yes—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—42no—
1906C22—42no—
1907C22—44no—
1908C22—42no—
1909C22—41no—
1910C22—42no—
1911C22—42no—
1912C22—41no—
1913C22—42no—
1914C22—44no—
1915C22—42no—
1916C22—42no—
1917C22—44no—
1918C22—41no—
1919C22—44no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—41no—
1931C22—42no—
1932C22—42no—
1933C22—44no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—42no—
1940C22—44no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—44no—
1945C22—42no—
1946C22—41no—
1947C22—88no—
1948C22—816no—
1949C22—816no—
1950C22C2×#56014yes—
1951C22C22×H(5,𝔽2)11yescharacteristic
1952C22C22×H(5,𝔽2)11yescharacteristic
1953C22C22×H(5,𝔽2)11yescharacteristic
1954C22C2×#58511yescharacteristic
1955C22C2×#58511yescharacteristic
1956C22H(7,𝔽2)11yescharacteristic
1957C22H(7,𝔽2)11yescharacteristic
1958C4—22no—
1959C4—42no—
1960C4—42no—
1961C4—44no—
1962C4—42no—
1963C4—42no—
1964C4—41no—
1965C4—41no—
1966C4—44no—
1967C4—41no—
1968C4—44no—
1969C4—41no—
1970C4—41no—
1971C4—42no—
1972C4—42no—
1973C4—41no—
1974C4—41no—
1975C4—42no—
1976C4—42no—
1977C4—42no—
1978C4—42no—
1979C4—41no—
1980C4—41no—
1981C4—42no—
1982C4—42no—
1983C4C2×#56014yes—
1984C4C2×#56014yes—
1985C2—24no—
1986C2—42no—
1987C2—82no—
1988C2—82no—
1989C2—84no—
1990C2—82no—
1991C2—81no—
1992C2—82no—
1993C2C22×#56011yescharacteristic
1994C2#6283011yescharacteristic
1995C2#6288011yescharacteristic
1996C2#6292411yescharacteristic
1997C2#6292411yescharacteristic
1998C2#6293011yescharacteristic
1999C2#6295711yescharacteristic
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. #53073C2semidirect
2. #53064C2semidirect
3. #53059C2semidirect
4. #53055C2semidirect
5. #53022C2semidirect
6. #53014C2semidirect
7. #52969C2semidirect
8. #52966C2semidirect
9. #52369C2semidirect
10. #52313C2semidirect
11. #45727C2semidirect
12. #45708C2semidirect
13. #45683C2semidirect
14. #45647C2semidirect
15. #45604C2semidirect
16. #45600C2semidirect
17. #45599C2semidirect
18. #45598C2semidirect
19. #45508C2semidirect
20. #45473C2semidirect
21. #35629C2semidirect
22. #35565C2semidirect
23. #35564C2semidirect
24. #35545C2semidirect
25. #35533C2semidirect
26. #35516C2semidirect
27. #35328C2semidirect
28. #35256C2semidirect
29. #35251C2semidirect
30. #35250C2semidirect
31. #35168C2semidirect
32. #35165C2semidirect
33. #34742C2semidirect
34. #34738C2semidirect
35. C2×#2420C2semidirect
39. C2×#537C22semidirect
42. C2×#535C22semidirect
43. C2×#535C22semidirect
49. C2×#520C22semidirect
50. C2×C4×#41C22semidirect
51. C22×C4×D4C22semidirect
52. #2856C22semidirect
53. #2850C22semidirect
54. #2850C22semidirect
55. #2850C22semidirect
56. #2848C22semidirect
59. #2847C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2841C22semidirect
63. #2838C22semidirect
64. #2830C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2828C22semidirect
68. #2828C22semidirect
69. #2828C22semidirect
70. #2827C22semidirect
71. #2826C22semidirect
72. #2825C22semidirect
73. #2825C22semidirect
74. #2825C22semidirect
75. #2825C22semidirect
76. #2824C22semidirect
77. #2818C22semidirect
78. #2815C22semidirect
79. #2815C22semidirect
80. #2813C22semidirect
81. #2812C22semidirect
82. #2803C22semidirect
83. #2797C22semidirect
84. #2797C22semidirect
85. #2796C22semidirect
86. #2778C22semidirect
87. #2778C22semidirect
88. #2778C22semidirect
89. #2760C22semidirect
90. #2757C22semidirect
91. #2756C22semidirect
92. #2756C22semidirect
93. #2752C22semidirect
94. #2749C22semidirect
95. #2749C22semidirect
96. #2749C22semidirect
97. #2748C22semidirect
98. #2746C22semidirect
99. #2746C22semidirect
100. #2737C22semidirect
101. #2737C22semidirect
102. #2737C22semidirect
103. #2714C22semidirect
104. #2709C22semidirect
105. #2703C22semidirect
106. #2703C22semidirect
107. #2699C22semidirect
108. #2699C22semidirect
109. #2691C22semidirect
110. #2688C22semidirect
111. #2688C22semidirect
112. #2688C22semidirect
113. #2685C22semidirect
114. #2678C22semidirect
115. #2673C22semidirect
116. #2673C22semidirect
117. #2673C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2668C22semidirect
121. #2668C22semidirect
122. #2621C22semidirect
123. #2620C22semidirect
124. #2619C22semidirect
125. #2619C22semidirect
126. #2617C22semidirect
127. #2617C22semidirect
128. #2616C22semidirect
131. #2615C22semidirect
132. #2548C22semidirect
133. #2547C22semidirect
134. #2545C22semidirect
135. #2544C22semidirect
136. #2544C22semidirect
137. #2544C22semidirect
138. #2543C22semidirect
139. #2543C22semidirect
140. #2543C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
149. #2540C22semidirect
150. #2540C22semidirect
151. #2539C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2536C22semidirect
155. #2536C22semidirect
156. #2535C22semidirect
157. #2535C22semidirect
158. #2535C22semidirect
159. #2535C22semidirect
160. #2514C22semidirect
161. #2514C22semidirect
162. #2514C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
165. #2513C22semidirect
166. #2512C22semidirect
167. #2511C22semidirect
168. #2510C22semidirect
169. #2510C22semidirect
170. #2510C22semidirect
171. #2497C22semidirect
172. #2496C22semidirect
173. #2495C22semidirect
174. #2495C22semidirect
175. #2495C22semidirect
176. #2494C22semidirect
177. #2494C22semidirect
178. #2494C22semidirect
179. #2487C22semidirect
180. #2486C22semidirect
181. #2485C22semidirect
182. #2485C22semidirect
183. #2481C22semidirect
185. #2436C22semidirect
186. #2435C22semidirect
187. #2434C22semidirect
190. #2433C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
195. #2431C22semidirect
196. #2431C22semidirect
200. #2429C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2426C22semidirect
214. #2426C22semidirect
215. #2426C22semidirect
216. #2424C22semidirect
217. #2424C22semidirect
218. #2424C22semidirect
219. #2424C22semidirect
220. #2423C22semidirect
221. #2423C22semidirect
222. #2423C22semidirect
223. #2422C22semidirect
224. #2422C22semidirect
225. #2422C22semidirect
226. #2421C22semidirect
227. #2421C22semidirect
228. #2421C22semidirect
233. #2420C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
240. #2419C22semidirect
241. #2419C22semidirect
242. #2419C22semidirect
246. #2417C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
250. #2416C22semidirect
251. #2415C22semidirect
252. #2414C22semidirect
253. #2414C22semidirect
254. #2414C22semidirect
258. #2409C22semidirect
259. #2408C22semidirect
260. #2407C22semidirect
261. #2407C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
266. C2×#397C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
270. #2380C22semidirect
271. #2377C22semidirect
272. #2377C22semidirect
273. #2375C22semidirect
274. #2317C22semidirect
275. #2316C22semidirect
280. #2311C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
283. C4×#120C22semidirect
284. C4×#120C22semidirect
287. #2297C22semidirect
288. #2296C22semidirect
289. C2×#390C22semidirect
290. C2×#389C22semidirect
292. #2285C22semidirect
293. C2×#382C22semidirect
295. C2×#381C22semidirect
297. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#530732
#530642
#530592
#530552
#530222
#530142
#529692
#529662
#523692
#523132
#457272
#457082
#456832
#456472
#456042
#456002
#455992
#455982
#455082
#454732
#356292
#355652
#355642
#355452
#355332
#355162
#353282
#352562
#352512
#352502
#351682
#351652
#347422
#347382
C2×#24202