Finite Group Databasebeta

← #8094442

Subgroups — #8094442

Order 512.

5697 conjugacy classes of subgroups.

The subgroup lattice has 1977 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53152C212yesmaximal, complemented
2#53095C212yesmaximal, complemented
3#53014C212yesmaximal, complemented
4#53011C212yesmaximal, complemented
5#53007C212yesmaximal, complemented
6#53006C212yesmaximal, complemented
7#52981C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#52723C214yesmaximal, complemented
10#52347C214yesmaximal, complemented
11#45701C212yesmaximal, complemented
12#45632C212yesmaximal, complemented
13#45623C212yesmaximal, complemented
14#45622C212yesmaximal, complemented
15#45616C212yesmaximal, complemented
16#45598C212yesmaximal, complemented
17#45563C214yesmaximal, complemented
18#45497C212yesmaximal, complemented
19#45493C212yesmaximal, complemented
20#45465C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35634C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic, complemented
26#35544C211yesmaximal, characteristic, complemented
27#35308C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35255C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35227C211yesmaximal, characteristic, complemented
32#35223C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34736C211yesmaximal, characteristic, complemented
35C2×#2417C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#536C2211yescharacteristic, complemented
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic, complemented
46C22×C22⋊Q8C2211yescharacteristic
47C22×C22⋊Q8C2211yescharacteristic, complemented
48C2×#519C2211yescharacteristic, complemented
49C2×C4×#41C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51C23×C4⋊C4C2211yescharacteristic, complemented
52#2857C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2850C2212yescomplemented
56#2849C2214yescomplemented
57#2848C2212yescomplemented
58#2848C2212yescomplemented
59#2848C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2214yescomplemented
62#2843C2214yescomplemented
63#2842C2214yescomplemented
64#2841C2214yescomplemented
65#2841C2214yescomplemented
66#2838C2214yescomplemented
67#2837C2214yescomplemented
68#2837C2214yescomplemented
69#2837C2214yescomplemented
70#2837C2214yescomplemented
71#2834C2214yescomplemented
72#2829C2214yescomplemented
73#2829C2214yescomplemented
74#2829C2214yescomplemented
75#2827C2214yescomplemented
76#2827C2214yescomplemented
77#2826C2214yescomplemented
78#2826C2214yescomplemented
79#2825C2214yescomplemented
80#2823C2214yescomplemented
81#2813C2214yescomplemented
82#2807C2214yescomplemented
83#2795C2214yescomplemented
84#2792C2214yescomplemented
85#2790C2214yescomplemented
86#2790C2214yescomplemented
87#2790C2214yescomplemented
88#2790C2214yescomplemented
89#2784C2214yescomplemented
90#2780C2214yes—
91#2780C2214yescomplemented
92#2780C2214yescomplemented
93#2778C2214yescomplemented
94#2757C2214yescomplemented
95#2756C2214yescomplemented
96#2756C2214yescomplemented
97#2756C2214yescomplemented
98#2752C2214yescomplemented
99#2749C2214yes—
100#2748C2214yescomplemented
101#2748C2214yescomplemented
102#2746C2214yes—
103#2746C2214yescomplemented
104#2746C2214yescomplemented
105#2742C2214yescomplemented
106#2737C2214yescomplemented
107#2735C2214yescomplemented
108#2714C2214yescomplemented
109#2705C2214yescomplemented
110#2705C2214yescomplemented
111#2705C2214yescomplemented
112#2703C2214yescomplemented
113#2703C2214yescomplemented
114#2699C2214yescomplemented
115#2697C2214yes—
116#2697C2214yescomplemented
117#2693C2214yescomplemented
118#2691C2214yescomplemented
119#2685C2214yescomplemented
120#2678C2214yes—
121#2668C2214yes—
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2623C2214yescomplemented
125#2621C2212yescomplemented
126#2620C2212yescomplemented
127#2618C2214yescomplemented
128#2616C2212yescomplemented
129#2616C2212yescomplemented
130#2616C2212yescomplemented
131#2615C2212yescomplemented
132#2542C2212yescomplemented
133#2542C2212yescomplemented
134#2542C2212yescomplemented
135#2542C2212yescomplemented
136#2540C2212yescomplemented
137#2540C2212yescomplemented
138#2540C2212yescomplemented
139#2540C2212yescomplemented
140#2539C2214yescomplemented
141#2538C2211yescharacteristic
142#2538C2211yescharacteristic, complemented
143#2538C2212yescomplemented
144#2538C2212yescomplemented
145#2538C2212yescomplemented
146#2538C2212yescomplemented
147#2537C2211yescharacteristic
148#2537C2211yescharacteristic, complemented
149#2536C2211yescharacteristic
150#2536C2211yescharacteristic, complemented
151#2536C2212yescomplemented
152#2536C2212yescomplemented
153#2536C2212yescomplemented
154#2536C2212yescomplemented
155#2535C2211yescharacteristic
156#2535C2211yescharacteristic, complemented
157#2534C2212yes—
158#2534C2212yescomplemented
159#2514C2212yescomplemented
160#2513C2212yescomplemented
161#2512C2212yescomplemented
162#2511C2212yescomplemented
163#2510C2214yescomplemented
164#2504C2212yescomplemented
165#2503C2212yescomplemented
166#2502C2212yescomplemented
167#2501C2214yescomplemented
168#2501C2212yescomplemented
169#2498C2214yescomplemented
170#2498C2214yescomplemented
171#2497C2212yescomplemented
172#2497C2212yescomplemented
173#2497C2212yescomplemented
174#2496C2212yescomplemented
175#2496C2212yescomplemented
176#2496C2212yescomplemented
177#2495C2212yescomplemented
178#2495C2212yescomplemented
179#2495C2212yescomplemented
180#2494C2212yescomplemented
181#2494C2212yescomplemented
182#2494C2212yescomplemented
183#2493C2214yescomplemented
184#2487C2212yescomplemented
185#2487C2212yescomplemented
186#2486C2212yescomplemented
187#2486C2212yescomplemented
188#2486C2212yescomplemented
189#2481C2214yescomplemented
190#2480C2214yes—
191#2448C2212yescomplemented
192#2448C2212yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2444C2214yescomplemented
196#2443C2214yescomplemented
197#2435C2212yescomplemented
198#2434C2212yescomplemented
199#2432C2212yescomplemented
200#2432C2212yescomplemented
201#2430C2214yes—
202#2429C2212yescomplemented
203#2429C2212yescomplemented
204#2429C2212yescomplemented
205#2429C2212yescomplemented
206#2429C2212yescomplemented
207#2429C2212yescomplemented
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2426C2212yescomplemented
214#2425C2214yescomplemented
215#2425C2214yescomplemented
216#2423C2212yescomplemented
217#2423C2212yescomplemented
218#2423C2212yescomplemented
219#2422C2212yescomplemented
220#2421C2212yescomplemented
221#2421C2212yescomplemented
222#2421C2212yescomplemented
223#2420C2212yescomplemented
224#2417C2212yes—
225#2417C2212yes—
226#2417C2212yes—
227#2417C2212yes—
228#2417C2212yescomplemented
229#2417C2212yescomplemented
230#2417C2212yescomplemented
231#2417C2212yescomplemented
232#2417C2212yescomplemented
233#2417C2212yescomplemented
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2413C2214yescomplemented
241#2413C2214yescomplemented
242#2411C2214yes—
243#2411C2214yescomplemented
244#2410C2214yes—
245#2409C2211yescharacteristic
246#2409C2211yescharacteristic
247#2409C2212yescomplemented
248#2408C2212yes—
249#2408C2211yescharacteristic
250#2408C2211yescharacteristic
251#2408C2212yescomplemented
252#2407C2211yescharacteristic
253#2407C2211yescharacteristic
254#2407C2211yescharacteristic
255#2407C2211yescharacteristic
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2406C2214yes—
259#2406C2212yes—
260#2405C2212yes—
261#2405C2214yes—
262#2404C2212yes—
263#2403C2212yes—
264#2392C2212yes—
265#2392C2212yescomplemented
266C2×#398C2212yescomplemented
267C2×#396C2212yes—
268#2388C2212yes—
269#2388C2212yes—
270#2377C2214yes—
271#2377C2214yescomplemented
272#2376C2214yescomplemented
273#2375C2214yes—
274#2317C2211yescharacteristic, complemented
275#2317C2211yescharacteristic, complemented
276#2317C2211yescharacteristic, complemented
277#2316C2211yescharacteristic, complemented
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic, complemented
283C4×#121C2212yes—
284C4×#121C2212yescomplemented
285C4×#120C2212yes—
286C4×#120C2212yes—
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289C2×#391C2211yescharacteristic, complemented
290C2×#389C2211yescharacteristic, complemented
291C2×#386C2212yes—
292#2285C2211yescharacteristic, complemented
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic, complemented
296C2×#380C2211yescharacteristic
297C2×#380C2212yescomplemented
298#2274C2211yescharacteristic, complemented
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
314C24×C4C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2312yes—
317C24×C4C2312yes—
318#537—44no—
319#537—44no—
320#536—44no—
321#536—44no—
322#536—44no—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331#525—44no—
332#525—44no—
333#525—44no—
334#525—44no—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8—44no—
346C2×C22⋊Q8—44no—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
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×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2311yescharacteristic
389C2×#121C2311yescharacteristic
390C2×#121C2314yes—
391C2×#120C2312yes—
392C2×#120C2312yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2314yes—
398#519—44no—
399C4×#41—44no—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×D4—44no—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2314yes—
434C22×C4⋊C4—44no—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2311yescharacteristic
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454#401C2314yes—
455#401C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2312yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2312yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2312yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#396C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2312yes—
532#396C2314yes—
533#396C2312yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2312yes—
538#395C2312yes—
539#395C2314yes—
540#395C2312yes—
541#395C2314yes—
542#395C2314yes—
543#394C2312yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2312yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2314yes—
574#393C2314yes—
575#393C2312yes—
576#393C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2312yes—
582#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2312yes—
586#392C2312yes—
587#392C2312yes—
588#392C2312yes—
589#392C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
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#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
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#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#384C2314yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2314yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#383C2314yes—
748#383C2314yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2312yes—
758#381C2312yes—
759#381C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2314yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2314yes—
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#379C2312yes—
800#379C2314yes—
801#379C2314yes—
802#379C2314yes—
803#379C2312yes—
804#379C2312yes—
805#379C2312yes—
806#379C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2314yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2411yescharacteristic
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×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×D4—24no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—24no—
902C23×C4—24no—
903C23×C4—44no—
904C23×C4—44no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4—44no—
908C23×C4—82no—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2414yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C4⋊Q8—44no—
937C4⋊Q8—44no—
938C4⋊Q8—44no—
939#126—84no—
940#126—84no—
941#124—44no—
942#124—44no—
943#124—44no—
944#123—48no—
945#123—44no—
946#123—44no—
947#123—44no—
948#123—44no—
949#123—48no—
950#123—48no—
951#123—48no—
952#123—84no—
953#123—84no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—44no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960C22⋊Q8—44no—
961C22⋊Q8—44no—
962C22⋊Q8—42no—
963C22⋊Q8—42no—
964C22⋊Q8—42no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967C22⋊Q8—42no—
968C22⋊Q8—42no—
969C22⋊Q8—42no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980#121—28no—
981#121—44no—
982#121—42no—
983#121—42no—
984#121—42no—
985#121—42no—
986#121—42no—
987#121—42no—
988#121—42no—
989#121—42no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—48no—
995#121—48no—
996#121—48no—
997#121—84no—
998#120—28no—
999#120—44no—
1000#120—44no—
1001#120—44no—
1002#120—44no—
1003#120—44no—
1004#120—84no—
1005C4×Q8—42no—
1006C4×Q8—42no—
1007C4×Q8—44no—
1008C4×Q8—44no—
1009C4×Q8—44no—
1010C4×Q8—44no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4—42no—
1020C4×D4—42no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031#117—24no—
1032#117—24no—
1033#117—24no—
1034#117—24no—
1035#117—24no—
1036#117—44no—
1037#117—48no—
1038C2×C4⋊C4—24no—
1039C2×C4⋊C4—24no—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—44no—
1044C2×C4⋊C4—44no—
1045C2×C4⋊C4—44no—
1046C2×C4⋊C4—42no—
1047C2×C4⋊C4—44no—
1048C2×C4⋊C4—44no—
1049C2×C4⋊C4—82no—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C22⋊C4—42no—
1111C2×C22⋊C4—42no—
1112C2×C22⋊C4—44no—
1113C2×C22⋊C4—44no—
1114C2×C22⋊C4—82no—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C42—24no—
1193C2×C42—44no—
1194C2×C42C2411yescharacteristic
1195C2×C42C2412yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
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#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—24no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—42no—
1275C24—42no—
1276C24—42no—
1277C24—41no—
1278C24—41no—
1279C24—42no—
1280C24—42no—
1281C24—42no—
1282C24C2511yescharacteristic
1283C24C2512yes—
1284C24C2512yes—
1285C24C2512yes—
1286C24C2511yescharacteristic
1287C24C2511yescharacteristic
1288C24C2511yescharacteristic
1289C24C2511yescharacteristic
1290#41—432no—
1291#41—416no—
1292#41—416no—
1293#41—432no—
1294#41—416no—
1295#41—416no—
1296#41—416no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—416no—
1316C2×Q8—416no—
1317C2×D4—24no—
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—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
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—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—416no—
1386C2×D4—432no—
1387C2×D4—416no—
1388C2×D42−1+414yes—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—28no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—41no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—41no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—41no—
1466C22×C4—42no—
1467C22×C4—432no—
1468C22×C4—416no—
1469C22×C4—416no—
1470C22×C4—816no—
1471C22×C4H(5,𝔽2)14yes—
1472C22×C4H(5,𝔽2)14yes—
1473C22×C4H(5,𝔽2)14yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2512yes—
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2514yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2514yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2514yes—
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—41no—
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—41no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—42no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
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—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
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—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—24no—
1643C42—24no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—42no—
1648C42—42no—
1649C42—44no—
1650C42—44no—
1651C42—44no—
1652C42—44no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—28no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—21no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—21no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—21no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—21no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—44no—
1712C23—44no—
1713C23—48no—
1714C23—44no—
1715C23—82no—
1716C23—82no—
1717C23—82no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23—84no—
1723C23—84no—
1724C23C2×H(5,𝔽2)12yes—
1725C23C2×H(5,𝔽2)12yes—
1726C23C2×H(5,𝔽2)12yes—
1727C23C2×2−1+412yes—
1728C23C2×2−1+412yes—
1729C23#58512yes—
1730C23C2611yescharacteristic
1731Q8—48no—
1732Q8—48no—
1733Q8—48no—
1734Q8—44no—
1735Q8—44no—
1736Q8—44no—
1737D4—44no—
1738D4—44no—
1739D4—44no—
1740D4—44no—
1741D4—48no—
1742D4—48no—
1743D4—48no—
1744D4—48no—
1745D4—48no—
1746D4—48no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—84no—
1756D4—84no—
1757D4—84no—
1758D4—164no—
1759D4—164no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—24no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—24no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—48no—
1837C2×C4—48no—
1838C2×C4—48no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—48no—
1853C2×C4—84no—
1854C2×C4—82no—
1855C2×C4—84no—
1856C2×C4—88no—
1857C2×C4—84no—
1858C2×C4—84no—
1859C2×C4—88no—
1860C2×C4#560116yes—
1861C2×C4C2×H(5,𝔽2)12yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4C2×2−1+412yes—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—416no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—41no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—41no—
1908C22—42no—
1909C22—41no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—41no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—41no—
1923C22—42no—
1924C22—88no—
1925C22—816no—
1926C22C2×#56014yes—
1927C22C22×H(5,𝔽2)11yescharacteristic
1928C22C22×H(5,𝔽2)11yescharacteristic
1929C22C22×H(5,𝔽2)11yescharacteristic
1930C22C22×2−1+411yescharacteristic
1931C22C2×#58511yescharacteristic
1932C22H(7,𝔽2)11yescharacteristic
1933C222−1+611yescharacteristic
1934C4—22no—
1935C4—41no—
1936C4—42no—
1937C4—41no—
1938C4—42no—
1939C4—41no—
1940C4—44no—
1941C4—44no—
1942C4—44no—
1943C4—42no—
1944C4—42no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—41no—
1949C4—41no—
1950C4—41no—
1951C4—41no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—44no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4C2×#56014yes—
1960C4C2×#56014yes—
1961C2—24no—
1962C2—42no—
1963C2—42no—
1964C2—42no—
1965C2—82no—
1966C2—81no—
1967C2—82no—
1968C2—82no—
1969C2C22×#56011yescharacteristic
1970C2#6281911yescharacteristic
1971C2#6287511yescharacteristic
1972C2#6292411yescharacteristic
1973C2#6292711yescharacteristic
1974C2#6294211yescharacteristic
1975C2#6294411yescharacteristic
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. #53152C2semidirect
2. #53095C2semidirect
3. #53014C2semidirect
4. #53011C2semidirect
5. #53007C2semidirect
6. #53006C2semidirect
7. #52981C2semidirect
8. #52956C2semidirect
9. #52723C2semidirect
10. #52347C2semidirect
11. #45701C2semidirect
12. #45632C2semidirect
13. #45623C2semidirect
14. #45622C2semidirect
15. #45616C2semidirect
16. #45598C2semidirect
17. #45563C2semidirect
18. #45497C2semidirect
19. #45493C2semidirect
20. #45465C2semidirect
21. #35673C2semidirect
22. #35661C2semidirect
23. #35661C2semidirect
24. #35634C2semidirect
25. #35545C2semidirect
26. #35544C2semidirect
27. #35308C2semidirect
28. #35305C2semidirect
29. #35255C2semidirect
30. #35251C2semidirect
31. #35227C2semidirect
32. #35223C2semidirect
33. #34935C2semidirect
34. #34736C2semidirect
35. C2×#2417C2semidirect
41. C2×#536C22semidirect
45. C2×#525C22semidirect
47. C22×C22⋊Q8C22semidirect
48. C2×#519C22semidirect
49. C2×C4×#41C22semidirect
51. C23×C4⋊C4C22semidirect
52. #2857C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
56. #2849C22semidirect
57. #2848C22semidirect
58. #2848C22semidirect
59. #2848C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2843C22semidirect
63. #2842C22semidirect
64. #2841C22semidirect
65. #2841C22semidirect
66. #2838C22semidirect
67. #2837C22semidirect
68. #2837C22semidirect
69. #2837C22semidirect
70. #2837C22semidirect
71. #2834C22semidirect
72. #2829C22semidirect
73. #2829C22semidirect
74. #2829C22semidirect
75. #2827C22semidirect
76. #2827C22semidirect
77. #2826C22semidirect
78. #2826C22semidirect
79. #2825C22semidirect
80. #2823C22semidirect
81. #2813C22semidirect
82. #2807C22semidirect
83. #2795C22semidirect
84. #2792C22semidirect
85. #2790C22semidirect
86. #2790C22semidirect
87. #2790C22semidirect
88. #2790C22semidirect
89. #2784C22semidirect
91. #2780C22semidirect
92. #2780C22semidirect
93. #2778C22semidirect
94. #2757C22semidirect
95. #2756C22semidirect
96. #2756C22semidirect
97. #2756C22semidirect
98. #2752C22semidirect
100. #2748C22semidirect
101. #2748C22semidirect
103. #2746C22semidirect
104. #2746C22semidirect
105. #2742C22semidirect
106. #2737C22semidirect
107. #2735C22semidirect
108. #2714C22semidirect
109. #2705C22semidirect
110. #2705C22semidirect
111. #2705C22semidirect
112. #2703C22semidirect
113. #2703C22semidirect
114. #2699C22semidirect
116. #2697C22semidirect
117. #2693C22semidirect
118. #2691C22semidirect
119. #2685C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
124. #2623C22semidirect
125. #2621C22semidirect
126. #2620C22semidirect
127. #2618C22semidirect
128. #2616C22semidirect
129. #2616C22semidirect
130. #2616C22semidirect
131. #2615C22semidirect
132. #2542C22semidirect
133. #2542C22semidirect
134. #2542C22semidirect
135. #2542C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2539C22semidirect
142. #2538C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
148. #2537C22semidirect
150. #2536C22semidirect
151. #2536C22semidirect
152. #2536C22semidirect
153. #2536C22semidirect
154. #2536C22semidirect
156. #2535C22semidirect
158. #2534C22semidirect
159. #2514C22semidirect
160. #2513C22semidirect
161. #2512C22semidirect
162. #2511C22semidirect
163. #2510C22semidirect
164. #2504C22semidirect
165. #2503C22semidirect
166. #2502C22semidirect
167. #2501C22semidirect
168. #2501C22semidirect
169. #2498C22semidirect
170. #2498C22semidirect
171. #2497C22semidirect
172. #2497C22semidirect
173. #2497C22semidirect
174. #2496C22semidirect
175. #2496C22semidirect
176. #2496C22semidirect
177. #2495C22semidirect
178. #2495C22semidirect
179. #2495C22semidirect
180. #2494C22semidirect
181. #2494C22semidirect
182. #2494C22semidirect
183. #2493C22semidirect
184. #2487C22semidirect
185. #2487C22semidirect
186. #2486C22semidirect
187. #2486C22semidirect
188. #2486C22semidirect
189. #2481C22semidirect
191. #2448C22semidirect
192. #2448C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
195. #2444C22semidirect
196. #2443C22semidirect
197. #2435C22semidirect
198. #2434C22semidirect
199. #2432C22semidirect
200. #2432C22semidirect
202. #2429C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
206. #2429C22semidirect
207. #2429C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2426C22semidirect
214. #2425C22semidirect
215. #2425C22semidirect
216. #2423C22semidirect
217. #2423C22semidirect
218. #2423C22semidirect
219. #2422C22semidirect
220. #2421C22semidirect
221. #2421C22semidirect
222. #2421C22semidirect
223. #2420C22semidirect
228. #2417C22semidirect
229. #2417C22semidirect
230. #2417C22semidirect
231. #2417C22semidirect
232. #2417C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2413C22semidirect
241. #2413C22semidirect
243. #2411C22semidirect
247. #2409C22semidirect
251. #2408C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
265. #2392C22semidirect
266. C2×#398C22semidirect
271. #2377C22semidirect
272. #2376C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
277. #2316C22semidirect
282. #2311C22semidirect
284. C4×#121C22semidirect
289. C2×#391C22semidirect
290. C2×#389C22semidirect
292. #2285C22semidirect
295. #2280C22semidirect
297. C2×#380C22semidirect
298. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#531522
#530952
#530142
#530112
#530072
#530062
#529812
#529562
#527232
#523472
#457012
#456322
#456232
#456222
#456162
#455982
#455632
#454972
#454932
#454652
#356732
#356612
#356342
#355452
#355442
#353082
#353052
#352552
#352512
#352272
#352232
#349352
#347362
C2×#24172