Finite Group Databasebeta

← #8094446

Subgroups — #8094446

Order 512.

5753 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53088C212yesmaximal, complemented
2#53087C212yesmaximal, complemented
3#53064C212yesmaximal, complemented
4#53044C212yesmaximal, complemented
5#53041C212yesmaximal, complemented
6#53014C212yesmaximal, complemented
7#53000C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#52718C214yesmaximal, complemented
10#52345C214yesmaximal, complemented
11#46063C212yesmaximal, complemented
12#46061C212yesmaximal, complemented
13#46050C212yesmaximal, complemented
14#46048C212yesmaximal, complemented
15#45646C212yesmaximal, complemented
16#45623C212yesmaximal, complemented
17#45598C212yesmaximal, complemented
18#45563C214yesmaximal, complemented
19#45508C212yesmaximal, complemented
20#45465C214yesmaximal, complemented
21#35677C211yesmaximal, characteristic, complemented
22#35673C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35563C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35329C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35267C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35165C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic, complemented
33#34814C211yesmaximal, characteristic, complemented
34#34738C211yesmaximal, characteristic, complemented
35C2×#2427C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic, complemented
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×#124C2211yescharacteristic, complemented
46C2×#525C2211yescharacteristic
47C22×C22⋊Q8C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C2×#520C2211yescharacteristic, complemented
50C2×#519C2211yescharacteristic, complemented
51C22×C4×D4C2211yescharacteristic, complemented
52#2863C2212yescomplemented
53#2860C2212yescomplemented
54#2858C2212yescomplemented
55#2858C2212yescomplemented
56#2849C2214yescomplemented
57#2848C2212yescomplemented
58#2848C2212yescomplemented
59#2847C2212yes—
60#2847C2212yes—
61#2847C2214yescomplemented
62#2841C2214yescomplemented
63#2838C2214yescomplemented
64#2838C2214yescomplemented
65#2830C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2828C2214yescomplemented
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2827C2214yescomplemented
74#2827C2214yescomplemented
75#2826C2214yescomplemented
76#2826C2214yescomplemented
77#2825C2214yescomplemented
78#2825C2214yescomplemented
79#2813C2214yescomplemented
80#2813C2214yescomplemented
81#2812C2214yescomplemented
82#2803C2214yescomplemented
83#2803C2214yescomplemented
84#2797C2214yescomplemented
85#2797C2214yescomplemented
86#2796C2214yescomplemented
87#2796C2214yescomplemented
88#2784C2214yescomplemented
89#2780C2214yescomplemented
90#2780C2214yescomplemented
91#2778C2214yescomplemented
92#2778C2214yescomplemented
93#2757C2214yescomplemented
94#2757C2214yescomplemented
95#2756C2214yescomplemented
96#2756C2214yescomplemented
97#2752C2214yescomplemented
98#2749C2214yescomplemented
99#2749C2214yescomplemented
100#2748C2214yescomplemented
101#2746C2214yescomplemented
102#2746C2214yescomplemented
103#2742C2214yescomplemented
104#2737C2214yescomplemented
105#2737C2214yescomplemented
106#2714C2214yescomplemented
107#2714C2214yescomplemented
108#2705C2214yescomplemented
109#2705C2214yescomplemented
110#2703C2214yescomplemented
111#2703C2214yescomplemented
112#2699C2214yescomplemented
113#2697C2214yescomplemented
114#2693C2214yescomplemented
115#2691C2214yescomplemented
116#2691C2214yescomplemented
117#2685C2214yescomplemented
118#2685C2214yescomplemented
119#2678C2214yescomplemented
120#2678C2214yescomplemented
121#2668C2214yescomplemented
122#2658C2212yescomplemented
123#2657C2212yescomplemented
124#2645C2212yescomplemented
125#2644C2212yescomplemented
126#2622C2214yescomplemented
127#2617C2214yescomplemented
128#2616C2212yescomplemented
129#2616C2212yescomplemented
130#2615C2212yes—
131#2615C2212yes—
132#2548C2212yescomplemented
133#2548C2212yescomplemented
134#2547C2212yescomplemented
135#2547C2212yescomplemented
136#2546C2212yescomplemented
137#2545C2212yescomplemented
138#2545C2212yescomplemented
139#2545C2212yescomplemented
140#2544C2212yescomplemented
141#2544C2212yescomplemented
142#2544C2212yescomplemented
143#2541C2212yescomplemented
144#2540C2212yescomplemented
145#2540C2212yescomplemented
146#2540C2212yescomplemented
147#2540C2212yescomplemented
148#2539C2214yescomplemented
149#2539C2214yescomplemented
150#2538C2212yescomplemented
151#2538C2212yescomplemented
152#2537C2212yescomplemented
153#2537C2212yescomplemented
154#2536C2212yescomplemented
155#2536C2212yescomplemented
156#2535C2212yescomplemented
157#2535C2212yescomplemented
158#2534C2214yescomplemented
159#2510C2214yescomplemented
160#2498C2214yescomplemented
161#2498C2214yescomplemented
162#2497C2211yescharacteristic, complemented
163#2497C2212yescomplemented
164#2497C2211yescharacteristic, complemented
165#2496C2211yescharacteristic, complemented
166#2496C2211yescharacteristic, complemented
167#2496C2212yescomplemented
168#2495C2212yescomplemented
169#2495C2211yescharacteristic, complemented
170#2495C2211yescharacteristic, complemented
171#2494C2212yescomplemented
172#2494C2211yescharacteristic, complemented
173#2494C2211yescharacteristic, complemented
174#2493C2212yescomplemented
175#2493C2212yescomplemented
176#2487C2212yescomplemented
177#2486C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2481C2214yescomplemented
181#2480C2212yes—
182#2480C2212yes—
183#2448C2212yescomplemented
184#2448C2212yescomplemented
185#2448C2212yescomplemented
186#2447C2212yescomplemented
187#2447C2212yescomplemented
188#2447C2212yescomplemented
189#2446C2212yescomplemented
190#2446C2212yescomplemented
191#2446C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2444C2214yescomplemented
196#2443C2214yescomplemented
197#2436C2212yes—
198#2436C2211yescharacteristic, complemented
199#2435C2212yescomplemented
200#2435C2211yescharacteristic, complemented
201#2434C2211yescharacteristic, complemented
202#2434C2212yescomplemented
203#2433C2212yes—
204#2433C2211yescharacteristic, complemented
205#2432C2211yescharacteristic, complemented
206#2432C2212yescomplemented
207#2432C2212yescomplemented
208#2432C2211yescharacteristic, complemented
209#2431C2212yes—
210#2431C2212yes—
211#2431C2211yescharacteristic, complemented
212#2431C2211yescharacteristic, complemented
213#2430C2212yes—
214#2430C2212yes—
215#2429C2212yescomplemented
216#2429C2212yescomplemented
217#2428C2212yes—
218#2428C2212yescomplemented
219#2427C2212yes—
220#2427C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2212yescomplemented
224#2427C2212yescomplemented
225#2427C2212yescomplemented
226#2427C2212yescomplemented
227#2426C2212yes—
228#2426C2212yescomplemented
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2425C2214yescomplemented
236#2425C2214yescomplemented
237#2423C2212yescomplemented
238#2423C2212yescomplemented
239#2422C2212yescomplemented
240#2422C2212yescomplemented
241#2421C2212yescomplemented
242#2421C2212yescomplemented
243#2420C2212yescomplemented
244#2420C2212yescomplemented
245#2417C2212yescomplemented
246#2417C2212yescomplemented
247#2416C2212yes—
248#2416C2212yescomplemented
249#2415C2212yescomplemented
250#2415C2212yescomplemented
251#2414C2212yes—
252#2414C2212yescomplemented
253#2413C2214yescomplemented
254#2411C2214yes—
255#2411C2214yescomplemented
256#2411C2214yescomplemented
257#2410C2212yes—
258#2410C2212yes—
259#2408C2214yes—
260#2406C2214yes—
261#2405C2214yes—
262#2404C2214yes—
263#2403C2214yes—
264#2401C2212yescomplemented
265#2401C2212yescomplemented
266C2×#397C2212yescomplemented
267#2388C2212yescomplemented
268#2388C2212yescomplemented
269C2×#394C2212yes—
270#2377C2214yescomplemented
271#2377C2214yescomplemented
272#2376C2214yescomplemented
273#2375C2214yescomplemented
274#2317C2211yescharacteristic, complemented
275#2316C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281#2309C2211yescharacteristic, complemented
282C4×#126C2212yescomplemented
283C4×#126C2212yescomplemented
284C4×#120C2212yescomplemented
285C4×#120C2212yescomplemented
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic, complemented
289#2296C2211yescharacteristic, complemented
290C2×#391C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#386C2212yes—
293#2285C2211yescharacteristic, complemented
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×D4C2311yescharacteristic
312C23×D4C2312yes—
313C23×D4C2311yescharacteristic
314C23×D4C2312yes—
315C24×C4C2311yescharacteristic
316C24×C4C2312yes—
317C24×C4C2312yes—
318#536—44no—
319#536—44no—
320#536—44no—
321#535—44no—
322#535—44no—
323#535—44no—
324#532—44no—
325#532—44no—
326C2×C4⋊Q8C2312yes—
327C2×C4⋊Q8C2312yes—
328C2×C4⋊Q8C2311yescharacteristic
329C2×C4⋊Q8C2311yescharacteristic
330C2×C4⋊Q8C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#127C2312yes—
336C2×#126C2312yes—
337C2×#126C2312yes—
338C2×#126C2314yes—
339C2×#124—44no—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2311yescharacteristic
351C2×#124C2311yescharacteristic
352C2×#124C2312yes—
353C2×#124C2312yes—
354#525—44no—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×C22⋊Q8—44no—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2311yescharacteristic
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×#121—44no—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2311yescharacteristic
391C2×#121C2311yescharacteristic
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2314yes—
404#520—44no—
405#519—44no—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×D4—44no—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2314yes—
430C2×#117C2312yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2311yescharacteristic
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445#401C2312yes—
446#401C2314yes—
447#401C2312yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2314yes—
454#400C2314yes—
455#400C2312yes—
456#400C2312yes—
457#400C2314yes—
458#400C2312yes—
459#400C2312yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#397C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#395C2314yes—
516#395C2312yes—
517#395C2314yes—
518#395C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2312yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#393C2312yes—
558#393C2314yes—
559#393C2314yes—
560#393C2312yes—
561#392C2312yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2311yescharacteristic
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2314yes—
631#389C2312yes—
632#389C2314yes—
633#389C2314yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#383C2312yes—
747#383C2312yes—
748#383C2314yes—
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2312yes—
756#381C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2314yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2312yes—
790#379C2312yes—
791#379C2312yes—
792#379C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C43C2312yes—
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—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—42no—
852C2×#41—464no—
853C22×Q8—24no—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—42no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4—24no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4—82no—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C23×C4—24no—
903C23×C4—24no—
904C23×C4—24no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4—44no—
908C23×C4—44no—
909C23×C4—44no—
910C23×C4—82no—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2414yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C4⋊Q8—42no—
934C4⋊Q8—42no—
935C4⋊Q8—44no—
936C4⋊Q8—44no—
937C4⋊Q8—44no—
938#127—42no—
939#127—42no—
940#127—44no—
941#127—44no—
942#127—44no—
943#126—44no—
944#126—44no—
945#126—84no—
946#124—44no—
947#124—44no—
948#124—44no—
949#124—44no—
950#124—42no—
951#124—42no—
952#124—42no—
953#124—42no—
954#124—44no—
955#124—44no—
956#124—44no—
957#124—44no—
958#124—44no—
959#124—44no—
960#123—48no—
961#123—44no—
962#123—48no—
963#123—48no—
964#123—48no—
965#123—84no—
966#123—84no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—42no—
972C22⋊Q8—42no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979#121—48no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—48no—
985#121—42no—
986#121—42no—
987#121—44no—
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—84no—
998#121—84no—
999#120—44no—
1000#120—44no—
1001#120—48no—
1002#120—44no—
1003#120—48no—
1004#120—48no—
1005#120—48no—
1006#120—84no—
1007C4×Q8—44no—
1008C4×Q8—44no—
1009C4×Q8—44no—
1010C4×Q8—44no—
1011C4×Q8—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—48no—
1024#117—24no—
1025#117—24no—
1026#117—24no—
1027#117—24no—
1028#117—24no—
1029#117—48no—
1030#117—44no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—82no—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—42no—
1087C2×C22⋊C4—44no—
1088C2×C22⋊C4—44no—
1089C2×C22⋊C4—44no—
1090C2×C22⋊C4—44no—
1091C2×C22⋊C4—44no—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252C24—24no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—24no—
1258C24—24no—
1259C24—24no—
1260C24—41no—
1261C24—42no—
1262C24—42no—
1263C24—42no—
1264C24—42no—
1265C24—42no—
1266C24—42no—
1267C24—41no—
1268C24—41no—
1269C24—42no—
1270C24—42no—
1271C24—42no—
1272C24—42no—
1273C24C2514yes—
1274C24C2511yescharacteristic
1275C24C2512yes—
1276C24C2512yes—
1277C24C2512yes—
1278C24C2511yescharacteristic
1279C24C2511yescharacteristic
1280#41—432no—
1281#41—416no—
1282#41—416no—
1283#41—432no—
1284#41—416no—
1285#41—416no—
1286#41—416no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—42no—
1305C2×Q8—416no—
1306C2×Q8—416no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—24no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—432no—
1383C2×D4—416no—
1384C2×D4—416no—
1385C2×D4—816no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—28no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—42no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—432no—
1450C22×C4—416no—
1451C22×C4—816no—
1452C22×C4H(5,𝔽2)14yes—
1453C22×C4H(5,𝔽2)14yes—
1454C22×C4H(5,𝔽2)14yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2512yes—
1459C22×C4C2514yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2514yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2511yescharacteristic
1478C22×C4C2514yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—44no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—24no—
1619C42—24no—
1620C42—24no—
1621C42—24no—
1622C42—24no—
1623C42—42no—
1624C42—44no—
1625C42—44no—
1626C42—44no—
1627C42—42no—
1628C42—42no—
1629C42—42no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—24no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—24no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—24no—
1663C23—24no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—24no—
1670C23—21no—
1671C23—24no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—44no—
1676C23—44no—
1677C23—44no—
1678C23—48no—
1679C23—48no—
1680C23—48no—
1681C23—44no—
1682C23—48no—
1683C23—84no—
1684C23—84no—
1685C23—82no—
1686C23—84no—
1687C23—82no—
1688C23—82no—
1689C23—84no—
1690C23—84no—
1691C23—84no—
1692C23—84no—
1693C23—84no—
1694C23—84no—
1695C23—84no—
1696C23C2×H(5,𝔽2)12yes—
1697C23C2×H(5,𝔽2)12yes—
1698C23C2×H(5,𝔽2)12yes—
1699C23#58512yes—
1700C23C2611yescharacteristic
1701Q8—48no—
1702Q8—48no—
1703Q8—48no—
1704Q8—44no—
1705Q8—44no—
1706Q8—44no—
1707D4—48no—
1708D4—48no—
1709D4—48no—
1710D4—48no—
1711D4—48no—
1712D4—48no—
1713D4—48no—
1714D4—48no—
1715D4—44no—
1716D4—44no—
1717D4—44no—
1718D4—84no—
1719D4—84no—
1720D4—88no—
1721D4—84no—
1722D4—84no—
1723D4—84no—
1724D4—84no—
1725D4—88no—
1726D4—164no—
1727D4—164no—
1728D4—164no—
1729D4—164no—
1730D4—164no—
1731D4—164no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—44no—
1817C2×C4—44no—
1818C2×C4—44no—
1819C2×C4—44no—
1820C2×C4—48no—
1821C2×C4—48no—
1822C2×C4—48no—
1823C2×C4—88no—
1824C2×C4—82no—
1825C2×C4—82no—
1826C2×C4—82no—
1827C2×C4—84no—
1828C2×C4—88no—
1829C2×C4—164no—
1830C2×C4#560116yes—
1831C2×C4C2×H(5,𝔽2)12yes—
1832C2×C4C2×H(5,𝔽2)12yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×H(5,𝔽2)12yes—
1836C2×C4C2×H(5,𝔽2)12yes—
1837C2×C4#58512yes—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—44no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—41no—
1857C22—42no—
1858C22—44no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—42no—
1863C22—41no—
1864C22—44no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—44no—
1874C22—42no—
1875C22—41no—
1876C22—42no—
1877C22—42no—
1878C22—41no—
1879C22—42no—
1880C22—44no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—44no—
1885C22—41no—
1886C22—88no—
1887C22—816no—
1888C22—816no—
1889C22C2×#56014yes—
1890C22C22×H(5,𝔽2)11yescharacteristic
1891C22C22×H(5,𝔽2)11yescharacteristic
1892C22C22×H(5,𝔽2)11yescharacteristic
1893C22C2×#58511yescharacteristic
1894C22C2×#58511yescharacteristic
1895C22H(7,𝔽2)11yescharacteristic
1896C222−1+611yescharacteristic
1897C4—22no—
1898C4—42no—
1899C4—42no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—42no—
1904C4—44no—
1905C4—41no—
1906C4—41no—
1907C4—44no—
1908C4—41no—
1909C4—42no—
1910C4—42no—
1911C4—42no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—42no—
1917C4—42no—
1918C4—42no—
1919C4—44no—
1920C4—41no—
1921C4—41no—
1922C4—42no—
1923C4C2×#56014yes—
1924C4C2×#56014yes—
1925C2—24no—
1926C2—42no—
1927C2—82no—
1928C2—84no—
1929C2—82no—
1930C2—81no—
1931C2—82no—
1932C2C22×#56011yescharacteristic
1933C2#6283011yescharacteristic
1934C2#6287811yescharacteristic
1935C2#6292411yescharacteristic
1936C2#6292411yescharacteristic
1937C2#6292511yescharacteristic
1938C2#6295411yescharacteristic
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. #53088C2semidirect
2. #53087C2semidirect
3. #53064C2semidirect
4. #53044C2semidirect
5. #53041C2semidirect
6. #53014C2semidirect
7. #53000C2semidirect
8. #52956C2semidirect
9. #52718C2semidirect
10. #52345C2semidirect
11. #46063C2semidirect
12. #46061C2semidirect
13. #46050C2semidirect
14. #46048C2semidirect
15. #45646C2semidirect
16. #45623C2semidirect
17. #45598C2semidirect
18. #45563C2semidirect
19. #45508C2semidirect
20. #45465C2semidirect
21. #35677C2semidirect
22. #35673C2semidirect
23. #35661C2semidirect
24. #35621C2semidirect
25. #35563C2semidirect
26. #35517C2semidirect
27. #35329C2semidirect
28. #35305C2semidirect
29. #35267C2semidirect
30. #35250C2semidirect
31. #35165C2semidirect
32. #35152C2semidirect
33. #34814C2semidirect
34. #34738C2semidirect
35. C2×#2427C2semidirect
39. C2×#536C22semidirect
42. C2×#535C22semidirect
45. C22×#124C22semidirect
49. C2×#520C22semidirect
50. C2×#519C22semidirect
51. C22×C4×D4C22semidirect
52. #2863C22semidirect
53. #2860C22semidirect
54. #2858C22semidirect
55. #2858C22semidirect
56. #2849C22semidirect
57. #2848C22semidirect
58. #2848C22semidirect
61. #2847C22semidirect
62. #2841C22semidirect
63. #2838C22semidirect
64. #2838C22semidirect
65. #2830C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2828C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
73. #2827C22semidirect
74. #2827C22semidirect
75. #2826C22semidirect
76. #2826C22semidirect
77. #2825C22semidirect
78. #2825C22semidirect
79. #2813C22semidirect
80. #2813C22semidirect
81. #2812C22semidirect
82. #2803C22semidirect
83. #2803C22semidirect
84. #2797C22semidirect
85. #2797C22semidirect
86. #2796C22semidirect
87. #2796C22semidirect
88. #2784C22semidirect
89. #2780C22semidirect
90. #2780C22semidirect
91. #2778C22semidirect
92. #2778C22semidirect
93. #2757C22semidirect
94. #2757C22semidirect
95. #2756C22semidirect
96. #2756C22semidirect
97. #2752C22semidirect
98. #2749C22semidirect
99. #2749C22semidirect
100. #2748C22semidirect
101. #2746C22semidirect
102. #2746C22semidirect
103. #2742C22semidirect
104. #2737C22semidirect
105. #2737C22semidirect
106. #2714C22semidirect
107. #2714C22semidirect
108. #2705C22semidirect
109. #2705C22semidirect
110. #2703C22semidirect
111. #2703C22semidirect
112. #2699C22semidirect
113. #2697C22semidirect
114. #2693C22semidirect
115. #2691C22semidirect
116. #2691C22semidirect
117. #2685C22semidirect
118. #2685C22semidirect
119. #2678C22semidirect
120. #2678C22semidirect
121. #2668C22semidirect
122. #2658C22semidirect
123. #2657C22semidirect
124. #2645C22semidirect
125. #2644C22semidirect
126. #2622C22semidirect
127. #2617C22semidirect
128. #2616C22semidirect
129. #2616C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2547C22semidirect
135. #2547C22semidirect
136. #2546C22semidirect
137. #2545C22semidirect
138. #2545C22semidirect
139. #2545C22semidirect
140. #2544C22semidirect
141. #2544C22semidirect
142. #2544C22semidirect
143. #2541C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
148. #2539C22semidirect
149. #2539C22semidirect
150. #2538C22semidirect
151. #2538C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2536C22semidirect
155. #2536C22semidirect
156. #2535C22semidirect
157. #2535C22semidirect
158. #2534C22semidirect
159. #2510C22semidirect
160. #2498C22semidirect
161. #2498C22semidirect
162. #2497C22semidirect
163. #2497C22semidirect
164. #2497C22semidirect
165. #2496C22semidirect
166. #2496C22semidirect
167. #2496C22semidirect
168. #2495C22semidirect
169. #2495C22semidirect
170. #2495C22semidirect
171. #2494C22semidirect
172. #2494C22semidirect
173. #2494C22semidirect
174. #2493C22semidirect
175. #2493C22semidirect
176. #2487C22semidirect
177. #2486C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2481C22semidirect
183. #2448C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2447C22semidirect
187. #2447C22semidirect
188. #2447C22semidirect
189. #2446C22semidirect
190. #2446C22semidirect
191. #2446C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2444C22semidirect
196. #2443C22semidirect
198. #2436C22semidirect
199. #2435C22semidirect
200. #2435C22semidirect
201. #2434C22semidirect
202. #2434C22semidirect
204. #2433C22semidirect
205. #2432C22semidirect
206. #2432C22semidirect
207. #2432C22semidirect
208. #2432C22semidirect
211. #2431C22semidirect
212. #2431C22semidirect
215. #2429C22semidirect
216. #2429C22semidirect
218. #2428C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
225. #2427C22semidirect
226. #2427C22semidirect
228. #2426C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
235. #2425C22semidirect
236. #2425C22semidirect
237. #2423C22semidirect
238. #2423C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2421C22semidirect
242. #2421C22semidirect
243. #2420C22semidirect
244. #2420C22semidirect
245. #2417C22semidirect
246. #2417C22semidirect
248. #2416C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
252. #2414C22semidirect
253. #2413C22semidirect
255. #2411C22semidirect
256. #2411C22semidirect
264. #2401C22semidirect
265. #2401C22semidirect
266. C2×#397C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
270. #2377C22semidirect
271. #2377C22semidirect
272. #2376C22semidirect
273. #2375C22semidirect
274. #2317C22semidirect
275. #2316C22semidirect
280. #2311C22semidirect
281. #2309C22semidirect
282. C4×#126C22semidirect
283. C4×#126C22semidirect
284. C4×#120C22semidirect
285. C4×#120C22semidirect
288. #2296C22semidirect
289. #2296C22semidirect
290. C2×#391C22semidirect
291. C2×#389C22semidirect
293. #2285C22semidirect
296. C2×#380C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#530882
#530872
#530642
#530442
#530412
#530142
#530002
#529562
#527182
#523452
#460632
#460612
#460502
#460482
#456462
#456232
#455982
#455632
#455082
#454652
#356772
#356732
#356612
#356212
#355632
#355172
#353292
#353052
#352672
#352502
#351652
#351522
#348142
#347382
C2×#24272