Finite Group Databasebeta

← #8095615

Subgroups — #8095615

Order 512.

5933 conjugacy classes of subgroups.

The subgroup lattice has 2046 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53151C212yesmaximal, complemented
2#53102C212yesmaximal, complemented
3#53064C212yesmaximal, complemented
4#53063C212yesmaximal, complemented
5#53060C212yesmaximal, complemented
6#53055C212yesmaximal, complemented
7#53055C212yesmaximal, complemented
8#53044C212yesmaximal, complemented
9#52372C214yesmaximal, complemented
10#52315C214yesmaximal, complemented
11#45732C214yesmaximal, complemented
12#45716C212yesmaximal, complemented
13#45663C212yesmaximal, complemented
14#45655C212yesmaximal, complemented
15#45646C212yesmaximal, complemented
16#45600C212yesmaximal, complemented
17#45600C212yesmaximal, complemented
18#45556C214yesmaximal, complemented
19#45518C212yesmaximal, complemented
20#45508C212yesmaximal, complemented
21#35565C211yesmaximal, characteristic, complemented
22#35545C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35514C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35256C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35157C211yesmaximal, characteristic, complemented
32#35150C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34736C211yesmaximal, characteristic, complemented
35C2×#2414C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic, complemented
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic, complemented
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic, complemented
48C2×#518C2211yescharacteristic, complemented
49C2×C4×#41C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic, complemented
52#2856C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2214yescomplemented
55#2854C2212yescomplemented
56#2853C2214yescomplemented
57#2850C2212yescomplemented
58#2848C2212yescomplemented
59#2847C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2212yescomplemented
62#2838C2214yescomplemented
63#2830C2214yescomplemented
64#2829C2214yescomplemented
65#2828C2214yescomplemented
66#2828C2214yescomplemented
67#2828C2214yescomplemented
68#2828C2214yescomplemented
69#2828C2214yescomplemented
70#2826C2214yescomplemented
71#2825C2214yescomplemented
72#2825C2214yescomplemented
73#2825C2214yescomplemented
74#2824C2214yescomplemented
75#2824C2214yescomplemented
76#2818C2214yescomplemented
77#2818C2214yescomplemented
78#2815C2214yescomplemented
79#2815C2214yescomplemented
80#2813C2214yescomplemented
81#2812C2214yescomplemented
82#2803C2214yescomplemented
83#2803C2214yescomplemented
84#2797C2214yescomplemented
85#2797C2214yescomplemented
86#2797C2214yescomplemented
87#2797C2214yescomplemented
88#2796C2214yescomplemented
89#2796C2214yescomplemented
90#2780C2214yescomplemented
91#2778C2214yescomplemented
92#2778C2214yescomplemented
93#2778C2214yescomplemented
94#2757C2214yescomplemented
95#2756C2214yescomplemented
96#2752C2214yescomplemented
97#2749C2214yescomplemented
98#2746C2214yescomplemented
99#2742C2214yescomplemented
100#2737C2214yescomplemented
101#2737C2214yescomplemented
102#2737C2214yescomplemented
103#2714C2214yescomplemented
104#2714C2214yescomplemented
105#2714C2214yescomplemented
106#2709C2214yescomplemented
107#2709C2214yescomplemented
108#2705C2214yescomplemented
109#2703C2214yescomplemented
110#2703C2214yescomplemented
111#2691C2214yescomplemented
112#2688C2214yescomplemented
113#2688C2214yescomplemented
114#2685C2214yescomplemented
115#2678C2214yescomplemented
116#2678C2214yescomplemented
117#2678C2214yescomplemented
118#2673C2214yescomplemented
119#2673C2214yescomplemented
120#2669C2214yescomplemented
121#2669C2214yescomplemented
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2622C2214yescomplemented
125#2620C2212yescomplemented
126#2619C2212yescomplemented
127#2617C2214yescomplemented
128#2616C2212yescomplemented
129#2615C2212yescomplemented
130#2615C2212yescomplemented
131#2615C2212yescomplemented
132#2541C2212yescomplemented
133#2541C2212yescomplemented
134#2541C2212yescomplemented
135#2541C2212yescomplemented
136#2540C2212yescomplemented
137#2540C2212yescomplemented
138#2540C2212yescomplemented
139#2540C2212yescomplemented
140#2539C2214yescomplemented
141#2538C2211yescharacteristic, complemented
142#2538C2211yescharacteristic, complemented
143#2537C2211yescharacteristic, complemented
144#2537C2212yescomplemented
145#2537C2211yescharacteristic, complemented
146#2537C2212yescomplemented
147#2537C2212yescomplemented
148#2537C2212yescomplemented
149#2536C2211yescharacteristic, complemented
150#2536C2211yescharacteristic, complemented
151#2535C2211yescharacteristic, complemented
152#2535C2212yescomplemented
153#2535C2211yescharacteristic, complemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2535C2212yescomplemented
157#2534C2212yes—
158#2534C2212yescomplemented
159#2514C2212yescomplemented
160#2513C2212yescomplemented
161#2512C2212yescomplemented
162#2511C2212yescomplemented
163#2510C2214yescomplemented
164#2500C2212yescomplemented
165#2500C2212yescomplemented
166#2499C2212yescomplemented
167#2499C2212yescomplemented
168#2497C2212yescomplemented
169#2497C2212yescomplemented
170#2497C2212yescomplemented
171#2496C2212yescomplemented
172#2496C2212yescomplemented
173#2496C2212yescomplemented
174#2495C2212yescomplemented
175#2495C2212yescomplemented
176#2495C2212yescomplemented
177#2494C2212yescomplemented
178#2494C2212yescomplemented
179#2494C2212yescomplemented
180#2493C2214yescomplemented
181#2486C2212yescomplemented
182#2485C2212yescomplemented
183#2485C2212yescomplemented
184#2485C2212yescomplemented
185#2485C2212yescomplemented
186#2481C2214yescomplemented
187#2480C2214yes—
188#2447C2212yescomplemented
189#2447C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2444C2214yescomplemented
193#2443C2214yescomplemented
194#2436C2212yescomplemented
195#2433C2212yescomplemented
196#2433C2214yescomplemented
197#2431C2212yescomplemented
198#2431C2212yescomplemented
199#2430C2214yes—
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2427C2212yescomplemented
207#2427C2212yescomplemented
208#2427C2212yescomplemented
209#2427C2212yescomplemented
210#2426C2212yescomplemented
211#2426C2212yescomplemented
212#2424C2214yescomplemented
213#2424C2214yescomplemented
214#2423C2212yescomplemented
215#2422C2212yescomplemented
216#2422C2212yescomplemented
217#2422C2212yescomplemented
218#2421C2212yescomplemented
219#2420C2212yescomplemented
220#2420C2212yescomplemented
221#2420C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2414C2212yes—
227#2414C2212yes—
228#2414C2212yes—
229#2414C2212yes—
230#2414C2212yescomplemented
231#2414C2212yescomplemented
232#2414C2212yescomplemented
233#2414C2212yescomplemented
234#2414C2212yescomplemented
235#2414C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2412C2214yescomplemented
239#2412C2214yescomplemented
240#2412C2214yescomplemented
241#2412C2214yescomplemented
242#2410C2214yes—
243#2410C2214yes—
244#2410C2214yescomplemented
245#2409C2211yescharacteristic, complemented
246#2409C2212yescomplemented
247#2409C2211yescharacteristic, complemented
248#2408C2212yes—
249#2408C2211yescharacteristic, complemented
250#2408C2212yescomplemented
251#2408C2211yescharacteristic, complemented
252#2407C2211yescharacteristic, complemented
253#2407C2212yescomplemented
254#2407C2211yescharacteristic, complemented
255#2407C2212yescomplemented
256#2407C2211yescharacteristic, complemented
257#2407C2211yescharacteristic, complemented
258#2406C2212yes—
259#2405C2212yes—
260#2404C2212yes—
261#2404C2214yes—
262#2403C2212yes—
263#2403C2214yes—
264#2392C2212yescomplemented
265#2392C2212yescomplemented
266#2388C2212yescomplemented
267#2388C2212yescomplemented
268C2×#394C2212yescomplemented
269C2×#392C2212yes—
270#2377C2214yescomplemented
271#2377C2214yescomplemented
272#2376C2214yescomplemented
273#2375C2214yescomplemented
274#2317C2211yescharacteristic, complemented
275#2317C2211yescharacteristic, complemented
276#2317C2211yescharacteristic, complemented
277#2316C2211yescharacteristic, complemented
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic, complemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#120C2212yescomplemented
286C4×#120C2212yescomplemented
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289C2×#390C2212yes—
290C2×#390C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#388C2212yescomplemented
293#2285C2211yescharacteristic, complemented
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic, complemented
297C2×#380C2211yescharacteristic
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×D4C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2311yescharacteristic
314C23×D4C2312yes—
315C23×D4C2312yes—
316C24×C4C2311yescharacteristic
317C24×C4C2311yescharacteristic
318C24×C4C2312yes—
319#537—44no—
320#537—44no—
321#535—44no—
322#535—44no—
323#535—44no—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2314yes—
328C2×#127C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334#525—44no—
335#525—44no—
336#525—44no—
337#525—44no—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×#121—44no—
358C2×#121—44no—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2314yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2311yescharacteristic
390C2×#121C2311yescharacteristic
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#120C2314yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407#518—44no—
408C4×#41—44no—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×D4—44no—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×#117—44no—
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C42C2311yescharacteristic
462C22×C42C2312yes—
463C22×C42C2312yes—
464#401C2314yes—
465#401C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2312yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2314yes—
509#396C2312yes—
510#396C2312yes—
511#396C2312yes—
512#395C2314yes—
513#395C2312yes—
514#395C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2312yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#393C2312yes—
561#393C2314yes—
562#393C2312yes—
563#393C2314yes—
564#393C2314yes—
565#392C2312yes—
566#392C2312yes—
567#392C2312yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2312yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2312yes—
587#392C2312yes—
588#392C2312yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#388C2312yes—
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#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#383C2314yes—
756#383C2314yes—
757#382C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2311yescharacteristic
761#382C2311yescharacteristic
762#381C2312yes—
763#381C2314yes—
764#381C2314yes—
765#381C2312yes—
766#381C2312yes—
767#381C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2314yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#379C2314yes—
804#379C2312yes—
805#379C2312yes—
806#379C2312yes—
807#379C2312yes—
808#379C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊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⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C2×#95C2312yes—
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2412yes—
830C25C2411yescharacteristic
831C25C2412yes—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—464no—
854C22×Q8—42no—
855C22×Q8—42no—
856C22×Q8—42no—
857C22×Q8C2411yescharacteristic
858C22×Q8C2411yescharacteristic
859C22×Q8C2411yescharacteristic
860C22×Q8C2412yes—
861C22×D4—24no—
862C22×D4—24no—
863C22×D4—24no—
864C22×D4—42no—
865C22×D4—42no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—44no—
870C22×D4—44no—
871C22×D4—42no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4—82no—
877C22×D4—82no—
878C22×D4—82no—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2414yes—
908C22×D4C2414yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C23×C4—24no—
915C23×C4—24no—
916C23×C4—24no—
917C23×C4—24no—
918C23×C4—24no—
919C23×C4—24no—
920C23×C4—44no—
921C23×C4—44no—
922C23×C4—44no—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2414yes—
943C23×C4C2414yes—
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2411yescharacteristic
949#127—44no—
950#127—44no—
951#127—44no—
952#127—84no—
953#127—84no—
954#126—84no—
955#126—84no—
956#124—44no—
957#124—44no—
958#124—44no—
959#123—48no—
960#123—44no—
961#123—44no—
962#123—44no—
963#123—44no—
964#123—84no—
965#123—84no—
966C22⋊Q8—42no—
967C22⋊Q8—42no—
968C22⋊Q8—42no—
969C22⋊Q8—42no—
970C22⋊Q8—42no—
971C22⋊Q8—42no—
972C22⋊Q8—42no—
973C22⋊Q8—42no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978#121—48no—
979#121—44no—
980#121—48no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—42no—
991#121—42no—
992#121—42no—
993#121—42no—
994#121—42no—
995#121—42no—
996#121—42no—
997#121—42no—
998#121—44no—
999#121—44no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#121—44no—
1008#121—48no—
1009#121—48no—
1010#121—84no—
1011#121—84no—
1012#121—84no—
1013#121—84no—
1014#120—44no—
1015#120—48no—
1016#120—44no—
1017#120—44no—
1018#120—44no—
1019#120—44no—
1020#120—44no—
1021#120—48no—
1022#120—48no—
1023#120—48no—
1024#120—84no—
1025#120—84no—
1026C4×Q8—42no—
1027C4×Q8—42no—
1028C4×D4—42no—
1029C4×D4—42no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—42no—
1038C4×D4—42no—
1039C4×D4—42no—
1040C4×D4—42no—
1041C4×D4—42no—
1042C4×D4—44no—
1043C4×D4—44no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052#117—24no—
1053#117—24no—
1054#117—24no—
1055#117—24no—
1056#117—24no—
1057#117—44no—
1058#117—44no—
1059#117—44no—
1060#117—44no—
1061#117—44no—
1062C2×C4⋊C4—24no—
1063C2×C4⋊C4—24no—
1064C2×C4⋊C4—24no—
1065C2×C4⋊C4—42no—
1066C2×C4⋊C4—82no—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C22⋊C4—44no—
1114C2×C22⋊C4—48no—
1115C2×C22⋊C4—44no—
1116C2×C22⋊C4—42no—
1117C2×C22⋊C4—42no—
1118C2×C22⋊C4—44no—
1119C2×C22⋊C4—44no—
1120C2×C22⋊C4—82no—
1121C2×C22⋊C4—82no—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C42—24no—
1208C2×C42—44no—
1209C2×C42—44no—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2414yes—
1224C2×C42C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—22no—
1277C24—22no—
1278C24—22no—
1279C24—24no—
1280C24—24no—
1281C24—24no—
1282C24—22no—
1283C24—24no—
1284C24—41no—
1285C24—42no—
1286C24—42no—
1287C24—42no—
1288C24—41no—
1289C24—41no—
1290C24—41no—
1291C24—41no—
1292C24—41no—
1293C24—41no—
1294C24—42no—
1295C24—42no—
1296C24—42no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24C2511yescharacteristic
1302C24C2511yescharacteristic
1303C24C2514yes—
1304C24C2511yescharacteristic
1305C24C2512yes—
1306C24C2512yes—
1307C24C2512yes—
1308C24C2511yescharacteristic
1309C24C2511yescharacteristic
1310#41—432no—
1311#41—416no—
1312#41—416no—
1313#41—432no—
1314#41—416no—
1315#41—416no—
1316#41—416no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—22no—
1322C2×Q8—22no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—42no—
1329C2×Q8—416no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
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—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—416no—
1436C2×D4—432no—
1437C2×D4—416no—
1438C2×D4—416no—
1439C2×D4—816no—
1440C2×D4—816no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—41no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—41no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—41no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—432no—
1517C22×C4—416no—
1518C22×C4—416no—
1519C22×C4H(5,𝔽2)14yes—
1520C22×C4H(5,𝔽2)14yes—
1521C22×C4H(5,𝔽2)14yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2514yes—
1533C22×C4C2514yes—
1534C22×C4C2512yes—
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2514yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—41no—
1566C4⋊C4—41no—
1567C4⋊C4—41no—
1568C4⋊C4—41no—
1569C4⋊C4—44no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—42no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—42no—
1580C4⋊C4—42no—
1581C4⋊C4—42no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—44no—
1593C4⋊C4—42no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—41no—
1608C22⋊C4—41no—
1609C22⋊C4—41no—
1610C22⋊C4—41no—
1611C22⋊C4—41no—
1612C22⋊C4—41no—
1613C22⋊C4—41no—
1614C22⋊C4—41no—
1615C22⋊C4—44no—
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—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—42no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C42—22no—
1680C42—22no—
1681C42—22no—
1682C42—22no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—24no—
1687C42—24no—
1688C42—44no—
1689C42—44no—
1690C42—42no—
1691C42—42no—
1692C42—44no—
1693C42—44no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—22no—
1709C23—22no—
1710C23—24no—
1711C23—24no—
1712C23—24no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—24no—
1736C23—21no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—24no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—22no—
1750C23—24no—
1751C23—21no—
1752C23—21no—
1753C23—44no—
1754C23—44no—
1755C23—44no—
1756C23—44no—
1757C23—44no—
1758C23—48no—
1759C23—44no—
1760C23—44no—
1761C23—48no—
1762C23—82no—
1763C23—82no—
1764C23—82no—
1765C23—82no—
1766C23—82no—
1767C23—82no—
1768C23—82no—
1769C23—84no—
1770C23—84no—
1771C23—84no—
1772C23—84no—
1773C23—84no—
1774C23—84no—
1775C23—84no—
1776C23—84no—
1777C23—84no—
1778C23—84no—
1779C23—84no—
1780C23—84no—
1781C23C2×H(5,𝔽2)12yes—
1782C23C2×H(5,𝔽2)12yes—
1783C23C2×H(5,𝔽2)12yes—
1784C23#58512yes—
1785C23C2611yescharacteristic
1786Q8—48no—
1787Q8—44no—
1788Q8—44no—
1789Q8—44no—
1790D4—44no—
1791D4—44no—
1792D4—44no—
1793D4—44no—
1794D4—48no—
1795D4—48no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—48no—
1800D4—48no—
1801D4—48no—
1802D4—44no—
1803D4—44no—
1804D4—44no—
1805D4—84no—
1806D4—88no—
1807D4—84no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811D4—84no—
1812D4—84no—
1813D4—84no—
1814D4—88no—
1815D4—88no—
1816D4—88no—
1817D4—164no—
1818D4—164no—
1819D4—164no—
1820D4—164no—
1821D4—164no—
1822D4—164no—
1823D4—164no—
1824D4—164no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—24no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—24no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—24no—
1883C2×C4—24no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—24no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—24no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—44no—
1897C2×C4—48no—
1898C2×C4—48no—
1899C2×C4—48no—
1900C2×C4—48no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—44no—
1906C2×C4—44no—
1907C2×C4—44no—
1908C2×C4—44no—
1909C2×C4—44no—
1910C2×C4—44no—
1911C2×C4—48no—
1912C2×C4—48no—
1913C2×C4—48no—
1914C2×C4—84no—
1915C2×C4—82no—
1916C2×C4—84no—
1917C2×C4—84no—
1918C2×C4—84no—
1919C2×C4—164no—
1920C2×C4—164no—
1921C2×C4#560116yes—
1922C2×C4C2×H(5,𝔽2)12yes—
1923C2×C4C2×H(5,𝔽2)12yes—
1924C2×C4C2×H(5,𝔽2)12yes—
1925C2×C4C2×H(5,𝔽2)12yes—
1926C2×C4C2×H(5,𝔽2)12yes—
1927C2×C4C2×H(5,𝔽2)12yes—
1928C2×C4#58512yes—
1929C22—22no—
1930C22—22no—
1931C22—22no—
1932C22—22no—
1933C22—22no—
1934C22—22no—
1935C22—22no—
1936C22—22no—
1937C22—22no—
1938C22—41no—
1939C22—41no—
1940C22—41no—
1941C22—41no—
1942C22—42no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—42no—
1947C22—44no—
1948C22—42no—
1949C22—42no—
1950C22—41no—
1951C22—41no—
1952C22—44no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—41no—
1957C22—44no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—41no—
1962C22—42no—
1963C22—44no—
1964C22—42no—
1965C22—41no—
1966C22—41no—
1967C22—41no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—41no—
1973C22—41no—
1974C22—41no—
1975C22—42no—
1976C22—44no—
1977C22—41no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—44no—
1982C22—41no—
1983C22—41no—
1984C22—44no—
1985C22—42no—
1986C22—41no—
1987C22—41no—
1988C22—42no—
1989C22—42no—
1990C22—41no—
1991C22—88no—
1992C22—88no—
1993C22—816no—
1994C22—168no—
1995C22C2×#56014yes—
1996C22C22×H(5,𝔽2)11yescharacteristic
1997C22C22×H(5,𝔽2)11yescharacteristic
1998C22C22×H(5,𝔽2)11yescharacteristic
1999C22C2×#58511yescharacteristic
2000C22C2×#58511yescharacteristic
2001C22H(7,𝔽2)11yescharacteristic
2002C22H(7,𝔽2)11yescharacteristic
2003C4—22no—
2004C4—41no—
2005C4—42no—
2006C4—41no—
2007C4—41no—
2008C4—44no—
2009C4—42no—
2010C4—44no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—41no—
2016C4—41no—
2017C4—41no—
2018C4—41no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—44no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4C2×#56014yes—
2028C4C2×#56014yes—
2029C2—24no—
2030C2—42no—
2031C2—82no—
2032C2—81no—
2033C2—81no—
2034C2—81no—
2035C2—82no—
2036C2—82no—
2037C2—84no—
2038C2C22×#56011yescharacteristic
2039C2#6282111yescharacteristic
2040C2#6287411yescharacteristic
2041C2#6292411yescharacteristic
2042C2#6293011yescharacteristic
2043C2#6295511yescharacteristic
2044C2#6295711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #53151C2semidirect
2. #53102C2semidirect
3. #53064C2semidirect
4. #53063C2semidirect
5. #53060C2semidirect
6. #53055C2semidirect
7. #53055C2semidirect
8. #53044C2semidirect
9. #52372C2semidirect
10. #52315C2semidirect
11. #45732C2semidirect
12. #45716C2semidirect
13. #45663C2semidirect
14. #45655C2semidirect
15. #45646C2semidirect
16. #45600C2semidirect
17. #45600C2semidirect
18. #45556C2semidirect
19. #45518C2semidirect
20. #45508C2semidirect
21. #35565C2semidirect
22. #35545C2semidirect
23. #35544C2semidirect
24. #35541C2semidirect
25. #35514C2semidirect
26. #35514C2semidirect
27. #35256C2semidirect
28. #35255C2semidirect
29. #35251C2semidirect
30. #35250C2semidirect
31. #35157C2semidirect
32. #35150C2semidirect
33. #34935C2semidirect
34. #34736C2semidirect
35. C2×#2414C2semidirect
41. C2×#535C22semidirect
45. C2×#525C22semidirect
47. C22×#121C22semidirect
48. C2×#518C22semidirect
49. C2×C4×#41C22semidirect
51. C22×#117C22semidirect
52. #2856C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2853C22semidirect
57. #2850C22semidirect
58. #2848C22semidirect
59. #2847C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2838C22semidirect
63. #2830C22semidirect
64. #2829C22semidirect
65. #2828C22semidirect
66. #2828C22semidirect
67. #2828C22semidirect
68. #2828C22semidirect
69. #2828C22semidirect
70. #2826C22semidirect
71. #2825C22semidirect
72. #2825C22semidirect
73. #2825C22semidirect
74. #2824C22semidirect
75. #2824C22semidirect
76. #2818C22semidirect
77. #2818C22semidirect
78. #2815C22semidirect
79. #2815C22semidirect
80. #2813C22semidirect
81. #2812C22semidirect
82. #2803C22semidirect
83. #2803C22semidirect
84. #2797C22semidirect
85. #2797C22semidirect
86. #2797C22semidirect
87. #2797C22semidirect
88. #2796C22semidirect
89. #2796C22semidirect
90. #2780C22semidirect
91. #2778C22semidirect
92. #2778C22semidirect
93. #2778C22semidirect
94. #2757C22semidirect
95. #2756C22semidirect
96. #2752C22semidirect
97. #2749C22semidirect
98. #2746C22semidirect
99. #2742C22semidirect
100. #2737C22semidirect
101. #2737C22semidirect
102. #2737C22semidirect
103. #2714C22semidirect
104. #2714C22semidirect
105. #2714C22semidirect
106. #2709C22semidirect
107. #2709C22semidirect
108. #2705C22semidirect
109. #2703C22semidirect
110. #2703C22semidirect
111. #2691C22semidirect
112. #2688C22semidirect
113. #2688C22semidirect
114. #2685C22semidirect
115. #2678C22semidirect
116. #2678C22semidirect
117. #2678C22semidirect
118. #2673C22semidirect
119. #2673C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
124. #2622C22semidirect
125. #2620C22semidirect
126. #2619C22semidirect
127. #2617C22semidirect
128. #2616C22semidirect
129. #2615C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2541C22semidirect
133. #2541C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2539C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
145. #2537C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
148. #2537C22semidirect
149. #2536C22semidirect
150. #2536C22semidirect
151. #2535C22semidirect
152. #2535C22semidirect
153. #2535C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2535C22semidirect
158. #2534C22semidirect
159. #2514C22semidirect
160. #2513C22semidirect
161. #2512C22semidirect
162. #2511C22semidirect
163. #2510C22semidirect
164. #2500C22semidirect
165. #2500C22semidirect
166. #2499C22semidirect
167. #2499C22semidirect
168. #2497C22semidirect
169. #2497C22semidirect
170. #2497C22semidirect
171. #2496C22semidirect
172. #2496C22semidirect
173. #2496C22semidirect
174. #2495C22semidirect
175. #2495C22semidirect
176. #2495C22semidirect
177. #2494C22semidirect
178. #2494C22semidirect
179. #2494C22semidirect
180. #2493C22semidirect
181. #2486C22semidirect
182. #2485C22semidirect
183. #2485C22semidirect
184. #2485C22semidirect
185. #2485C22semidirect
186. #2481C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2444C22semidirect
193. #2443C22semidirect
194. #2436C22semidirect
195. #2433C22semidirect
196. #2433C22semidirect
197. #2431C22semidirect
198. #2431C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2427C22semidirect
207. #2427C22semidirect
208. #2427C22semidirect
209. #2427C22semidirect
210. #2426C22semidirect
211. #2426C22semidirect
212. #2424C22semidirect
213. #2424C22semidirect
214. #2423C22semidirect
215. #2422C22semidirect
216. #2422C22semidirect
217. #2422C22semidirect
218. #2421C22semidirect
219. #2420C22semidirect
220. #2420C22semidirect
221. #2420C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
230. #2414C22semidirect
231. #2414C22semidirect
232. #2414C22semidirect
233. #2414C22semidirect
234. #2414C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2412C22semidirect
239. #2412C22semidirect
240. #2412C22semidirect
241. #2412C22semidirect
244. #2410C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
264. #2392C22semidirect
265. #2392C22semidirect
266. #2388C22semidirect
267. #2388C22semidirect
268. C2×#394C22semidirect
270. #2377C22semidirect
271. #2377C22semidirect
272. #2376C22semidirect
273. #2375C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
277. #2316C22semidirect
282. #2311C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#120C22semidirect
286. C4×#120C22semidirect
290. C2×#390C22semidirect
291. C2×#389C22semidirect
292. C2×#388C22semidirect
293. #2285C22semidirect
296. #2280C22semidirect
298. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#531512
#531022
#530642
#530632
#530602
#530552
#530442
#523722
#523152
#457322
#457162
#456632
#456552
#456462
#456002
#455562
#455182
#455082
#355652
#355452
#355442
#355412
#355142
#352562
#352552
#352512
#352502
#351572
#351502
#349352
#347362
C2×#24142