Finite Group Databasebeta

← #8095552

Subgroups — #8095552

Order 512.

5796 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53073C212yesmaximal, complemented
2#53066C212yesmaximal, complemented
3#53064C212yesmaximal, complemented
4#53044C212yesmaximal, complemented
5#53022C212yesmaximal, complemented
6#53014C212yesmaximal, complemented
7#52977C212yesmaximal, complemented
8#52956C212yesmaximal, complemented
9#52741C214yesmaximal, complemented
10#52397C214yesmaximal, complemented
11#46335C214yesmaximal, complemented
12#46334C214yesmaximal, complemented
13#45708C212yesmaximal, complemented
14#45669C212yesmaximal, complemented
15#45647C212yesmaximal, complemented
16#45646C212yesmaximal, complemented
17#45623C212yesmaximal, complemented
18#45598C212yesmaximal, complemented
19#45522C212yesmaximal, complemented
20#45508C212yesmaximal, complemented
21#35677C211yesmaximal, characteristic, complemented
22#35672C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35617C211yesmaximal, characteristic, complemented
25#35540C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35306C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35252C211yesmaximal, characteristic, complemented
30#35250C211yesmaximal, characteristic, complemented
31#35160C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33C2×#2540C211yesmaximal, characteristic, complemented
34#34809C211yesmaximal, characteristic, complemented
35#34736C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C22×#124C2211yescharacteristic, complemented
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C22×C22⋊Q8C2211yescharacteristic, complemented
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic, complemented
48C2×#519C2211yescharacteristic, complemented
49C2×#518C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic, complemented
52#2857C2212yescomplemented
53#2856C2212yescomplemented
54#2852C2214yescomplemented
55#2852C2214yescomplemented
56#2850C2212yescomplemented
57#2850C2212yescomplemented
58#2848C2212yescomplemented
59#2848C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2212yescomplemented
62#2841C2214yescomplemented
63#2838C2214yescomplemented
64#2838C2214yescomplemented
65#2830C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2828C2214yescomplemented
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2827C2214yescomplemented
74#2827C2214yescomplemented
75#2826C2214yescomplemented
76#2826C2214yescomplemented
77#2825C2214yescomplemented
78#2825C2214yescomplemented
79#2813C2214yescomplemented
80#2813C2214yescomplemented
81#2812C2214yescomplemented
82#2803C2214yescomplemented
83#2803C2214yescomplemented
84#2797C2214yescomplemented
85#2797C2214yescomplemented
86#2796C2214yescomplemented
87#2796C2214yescomplemented
88#2784C2214yescomplemented
89#2780C2214yescomplemented
90#2780C2214yescomplemented
91#2778C2214yescomplemented
92#2778C2214yescomplemented
93#2757C2214yescomplemented
94#2757C2214yescomplemented
95#2756C2214yescomplemented
96#2756C2214yescomplemented
97#2752C2214yescomplemented
98#2749C2214yescomplemented
99#2749C2214yescomplemented
100#2748C2214yescomplemented
101#2746C2214yescomplemented
102#2746C2214yescomplemented
103#2742C2214yescomplemented
104#2737C2214yescomplemented
105#2737C2214yescomplemented
106#2714C2214yescomplemented
107#2714C2214yescomplemented
108#2705C2214yescomplemented
109#2705C2214yescomplemented
110#2703C2214yescomplemented
111#2703C2214yescomplemented
112#2699C2214yescomplemented
113#2697C2214yescomplemented
114#2693C2214yescomplemented
115#2691C2214yescomplemented
116#2691C2214yescomplemented
117#2685C2214yescomplemented
118#2685C2214yescomplemented
119#2678C2214yescomplemented
120#2678C2214yescomplemented
121#2668C2214yescomplemented
122#2643C2214yescomplemented
123#2643C2214yescomplemented
124#2621C2212yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2616C2212yescomplemented
129#2616C2212yescomplemented
130#2615C2212yescomplemented
131#2615C2212yescomplemented
132#2548C2212yescomplemented
133#2548C2212yescomplemented
134#2547C2212yescomplemented
135#2547C2212yescomplemented
136#2545C2212yescomplemented
137#2545C2212yescomplemented
138#2544C2212yescomplemented
139#2544C2212yescomplemented
140#2540C2212yes—
141#2540C2212yes—
142#2540C2212yes—
143#2540C2212yes—
144#2540C2212yescomplemented
145#2540C2212yescomplemented
146#2540C2212yescomplemented
147#2540C2212yescomplemented
148#2538C2212yescomplemented
149#2538C2212yescomplemented
150#2537C2212yescomplemented
151#2537C2212yescomplemented
152#2536C2212yescomplemented
153#2536C2212yescomplemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2514C2212yescomplemented
157#2514C2212yescomplemented
158#2513C2212yescomplemented
159#2513C2212yescomplemented
160#2512C2212yescomplemented
161#2512C2212yescomplemented
162#2511C2212yescomplemented
163#2511C2212yescomplemented
164#2497C2212yescomplemented
165#2497C2212yescomplemented
166#2496C2212yescomplemented
167#2496C2212yescomplemented
168#2495C2212yescomplemented
169#2495C2212yescomplemented
170#2494C2212yescomplemented
171#2494C2212yescomplemented
172#2487C2211yescharacteristic, complemented
173#2487C2211yescharacteristic, complemented
174#2486C2211yescharacteristic, complemented
175#2486C2211yescharacteristic, complemented
176#2485C2211yescharacteristic, complemented
177#2485C2211yescharacteristic, complemented
178#2485C2211yescharacteristic, complemented
179#2485C2211yescharacteristic, complemented
180#2484C2212yescomplemented
181#2484C2214yescomplemented
182#2483C2214yescomplemented
183#2483C2212yescomplemented
184#2482C2214yes—
185#2482C2212yes—
186#2436C2212yescomplemented
187#2435C2212yescomplemented
188#2434C2212yescomplemented
189#2433C2212yescomplemented
190#2432C2212yescomplemented
191#2432C2212yescomplemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2429C2212yescomplemented
195#2429C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2427C2212yescomplemented
200#2427C2212yescomplemented
201#2427C2212yescomplemented
202#2427C2212yescomplemented
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2426C2212yescomplemented
210#2423C2212yescomplemented
211#2423C2212yescomplemented
212#2423C2212yescomplemented
213#2423C2212yescomplemented
214#2422C2212yescomplemented
215#2422C2212yescomplemented
216#2422C2212yescomplemented
217#2422C2212yescomplemented
218#2421C2212yescomplemented
219#2421C2212yescomplemented
220#2421C2212yescomplemented
221#2421C2212yescomplemented
222#2420C2212yescomplemented
223#2420C2212yescomplemented
224#2420C2212yescomplemented
225#2420C2212yescomplemented
226#2417C2212yescomplemented
227#2417C2212yescomplemented
228#2416C2212yescomplemented
229#2416C2212yescomplemented
230#2415C2212yescomplemented
231#2415C2212yescomplemented
232#2414C2212yescomplemented
233#2414C2212yescomplemented
234#2413C2214yescomplemented
235#2413C2214yescomplemented
236#2412C2214yescomplemented
237#2412C2214yescomplemented
238#2412C2214yescomplemented
239#2412C2214yescomplemented
240#2411C2214yescomplemented
241#2411C2214yescomplemented
242#2411C2214yescomplemented
243#2411C2214yescomplemented
244#2410C2214yescomplemented
245#2410C2214yescomplemented
246#2409C2211yescharacteristic, complemented
247#2409C2211yescharacteristic, complemented
248#2408C2211yescharacteristic, complemented
249#2408C2211yescharacteristic, complemented
250#2407C2211yescharacteristic, complemented
251#2407C2211yescharacteristic, complemented
252#2407C2211yescharacteristic, complemented
253#2407C2211yescharacteristic, complemented
254#2406C2212yes—
255#2406C2214yes—
256#2405C2212yes—
257#2405C2214yes—
258#2405C2214yes—
259#2405C2212yes—
260#2404C2214yes—
261#2404C2212yes—
262#2403C2212yes—
263#2403C2214yes—
264#2395C2212yescomplemented
265#2395C2212yescomplemented
266C2×#399C2212yescomplemented
267#2388C2212yescomplemented
268#2388C2212yescomplemented
269C2×#392C2212yes—
270#2377C2214yescomplemented
271#2377C2214yescomplemented
272#2376C2214yescomplemented
273#2375C2214yescomplemented
274#2317C2211yescharacteristic, complemented
275#2317C2211yescharacteristic, complemented
276#2317C2211yescharacteristic, complemented
277#2317C2211yescharacteristic, complemented
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2310C2211yescharacteristic, complemented
283#2309C2211yescharacteristic, complemented
284C4×#123C2212yescomplemented
285C4×#123C2212yescomplemented
286C4×#120C2212yescomplemented
287C4×#120C2212yescomplemented
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic, complemented
291#2296C2211yescharacteristic, complemented
292C2×#390C2212yes—
293C2×#390C2212yescomplemented
294#2280C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297#2280C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2311yescharacteristic
314C23×D4C2312yes—
315C23×D4C2312yes—
316C24×C4C2311yescharacteristic
317C24×C4C2311yescharacteristic
318C24×C4C2312yes—
319#536—44no—
320#536—44no—
321#535—44no—
322#535—44no—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#124—44no—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338#525—44no—
339#525—44no—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×C22⋊Q8—44no—
349C2×C22⋊Q8—44no—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×#121—44no—
367C2×#121—44no—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2311yescharacteristic
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2314yes—
389C2×#120C2312yes—
390C2×#120C2312yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2314yes—
396#519—44no—
397#518—44no—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×D4—44no—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×#117—44no—
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C2×#117C2314yes—
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2312yes—
448C22×C42C2311yescharacteristic
449C22×C42C2312yes—
450C22×C42C2312yes—
451#401C2314yes—
452#401C2314yes—
453#400C2312yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2312yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2312yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2312yes—
504#397C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#395C2314yes—
520#395C2312yes—
521#395C2312yes—
522#395C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#393C2312yes—
564#393C2314yes—
565#393C2314yes—
566#393C2312yes—
567#392C2312yes—
568#392C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2312yes—
586#392C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
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#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#383C2314yes—
752#383C2314yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#381C2314yes—
758#381C2314yes—
759#381C2312yes—
760#381C2314yes—
761#381C2312yes—
762#381C2312yes—
763#381C2312yes—
764#381C2312yes—
765#381C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2314yes—
781#380C2314yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2314yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#379C2314yes—
799#379C2314yes—
800#379C2314yes—
801#379C2312yes—
802#379C2312yes—
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×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⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2411yescharacteristic
830C25C2412yes—
831C25C2412yes—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—42no—
845C2×#41—42no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—464no—
851C22×Q8—24no—
852C22×Q8—24no—
853C22×Q8—24no—
854C22×Q8—42no—
855C22×Q8—42no—
856C22×Q8—42no—
857C22×Q8C2412yes—
858C22×Q8C2412yes—
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×D4—24no—
863C22×D4—24no—
864C22×D4—24no—
865C22×D4—42no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—44no—
870C22×D4—44no—
871C22×D4—42no—
872C22×D4—42no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—44no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—82no—
879C22×D4—82no—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C23×C4—24no—
906C23×C4—24no—
907C23×C4—24no—
908C23×C4—24no—
909C23×C4—24no—
910C23×C4—24no—
911C23×C4—44no—
912C23×C4—44no—
913C23×C4—44no—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2411yescharacteristic
939C4⋊Q8—44no—
940C4⋊Q8—44no—
941#127—44no—
942#127—44no—
943#126—84no—
944#126—84no—
945#124—44no—
946#124—44no—
947#124—44no—
948#124—44no—
949#124—44no—
950#124—44no—
951#124—44no—
952#124—44no—
953#123—44no—
954#123—48no—
955#123—44no—
956#123—44no—
957#123—44no—
958#123—48no—
959#123—48no—
960#123—84no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—42no—
970C22⋊Q8—42no—
971C22⋊Q8—42no—
972C22⋊Q8—42no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977#121—48no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
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—84no—
996#121—84no—
997#120—48no—
998#120—44no—
999#120—44no—
1000#120—44no—
1001#120—48no—
1002#120—48no—
1003#120—44no—
1004#120—84no—
1005C4×Q8—44no—
1006C4×Q8—44no—
1007C4×Q8—44no—
1008C4×Q8—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
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—
1025#117—24no—
1026#117—24no—
1027#117—24no—
1028#117—24no—
1029#117—24no—
1030#117—24no—
1031#117—44no—
1032#117—44no—
1033#117—48no—
1034#117—42no—
1035#117—42no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—42no—
1040C2×C4⋊C4—42no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C22⋊C4—44no—
1096C2×C22⋊C4—48no—
1097C2×C22⋊C4—42no—
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—44no—
1100C2×C22⋊C4—44no—
1101C2×C22⋊C4—44no—
1102C2×C22⋊C4—44no—
1103C2×C22⋊C4—44no—
1104C2×C22⋊C4—44no—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C42—24no—
1188C2×C42—44no—
1189C2×C42—82no—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
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—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—24no—
1269C24—24no—
1270C24—24no—
1271C24—24no—
1272C24—42no—
1273C24—42no—
1274C24—42no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—42no—
1282C24—42no—
1283C24—42no—
1284C24—42no—
1285C24—42no—
1286C24—42no—
1287C24—42no—
1288C24C2511yescharacteristic
1289C24C2514yes—
1290C24C2511yescharacteristic
1291C24C2512yes—
1292C24C2512yes—
1293C24C2511yescharacteristic
1294C24C2511yescharacteristic
1295C24C2511yescharacteristic
1296#41—432no—
1297#41—416no—
1298#41—416no—
1299#41—432no—
1300#41—416no—
1301#41—416no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—416no—
1318C2×Q8—416no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—41no—
1346C2×D4—41no—
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—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—416no—
1395C2×D4—432no—
1396C2×D4—416no—
1397C2×D4—416no—
1398C2×D4—816no—
1399C2×D4—816no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
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—22no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—41no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—432no—
1473C22×C4—416no—
1474C22×C4—416no—
1475C22×C4H(5,𝔽2)14yes—
1476C22×C4H(5,𝔽2)14yes—
1477C22×C4H(5,𝔽2)14yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2514yes—
1491C22×C4C2514yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2514yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
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—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—41no—
1524C4⋊C4—41no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
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—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—42no—
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—42no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—24no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—42no—
1650C42—42no—
1651C42—44no—
1652C42—44no—
1653C42—44no—
1654C42—44no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
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—24no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—24no—
1678C23—24no—
1679C23—21no—
1680C23—21no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—22no—
1686C23—21no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—24no—
1692C23—24no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—21no—
1699C23—21no—
1700C23—24no—
1701C23—21no—
1702C23—21no—
1703C23—24no—
1704C23—22no—
1705C23—22no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—44no—
1712C23—48no—
1713C23—44no—
1714C23—44no—
1715C23—48no—
1716C23—82no—
1717C23—82no—
1718C23—82no—
1719C23—82no—
1720C23—82no—
1721C23—82no—
1722C23—84no—
1723C23—84no—
1724C23—84no—
1725C23—84no—
1726C23—84no—
1727C23—84no—
1728C23—84no—
1729C23—84no—
1730C23—84no—
1731C23—84no—
1732C23—84no—
1733C23—84no—
1734C23C2×H(5,𝔽2)12yes—
1735C23C2×H(5,𝔽2)12yes—
1736C23C2×H(5,𝔽2)12yes—
1737C23#58512yes—
1738C23#58512yes—
1739C23C2611yescharacteristic
1740Q8—48no—
1741Q8—48no—
1742Q8—48no—
1743Q8—44no—
1744Q8—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—48no—
1750D4—48no—
1751D4—48no—
1752D4—48no—
1753D4—48no—
1754D4—48no—
1755D4—48no—
1756D4—44no—
1757D4—44no—
1758D4—84no—
1759D4—84no—
1760D4—88no—
1761D4—88no—
1762D4—84no—
1763D4—84no—
1764D4—88no—
1765D4—88no—
1766D4—164no—
1767D4—164no—
1768D4—164no—
1769D4—164no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—24no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—24no—
1830C2×C4—24no—
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—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—48no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—48no—
1864C2×C4—48no—
1865C2×C4—84no—
1866C2×C4—84no—
1867C2×C4—164no—
1868C2×C4—164no—
1869C2×C4#560116yes—
1870C2×C4C2×H(5,𝔽2)12yes—
1871C2×C4C2×H(5,𝔽2)12yes—
1872C2×C4C2×H(5,𝔽2)12yes—
1873C2×C4C2×H(5,𝔽2)12yes—
1874C2×C4C2×H(5,𝔽2)12yes—
1875C2×C4C2×H(5,𝔽2)12yes—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—42no—
1899C22—44no—
1900C22—42no—
1901C22—42no—
1902C22—44no—
1903C22—41no—
1904C22—42no—
1905C22—41no—
1906C22—44no—
1907C22—41no—
1908C22—41no—
1909C22—44no—
1910C22—41no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—41no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—41no—
1919C22—41no—
1920C22—44no—
1921C22—44no—
1922C22—41no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—44no—
1927C22—41no—
1928C22—41no—
1929C22—42no—
1930C22—41no—
1931C22—88no—
1932C22—88no—
1933C22—816no—
1934C22—168no—
1935C22C2×#56014yes—
1936C22C22×H(5,𝔽2)11yescharacteristic
1937C22C22×H(5,𝔽2)11yescharacteristic
1938C22C22×H(5,𝔽2)11yescharacteristic
1939C22C2×#58511yescharacteristic
1940C22C2×#58511yescharacteristic
1941C22H(7,𝔽2)11yescharacteristic
1942C222−1+611yescharacteristic
1943C4—41no—
1944C4—41no—
1945C4—42no—
1946C4—42no—
1947C4—41no—
1948C4—41no—
1949C4—42no—
1950C4—42no—
1951C4—44no—
1952C4—44no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—41no—
1958C4—41no—
1959C4—41no—
1960C4—41no—
1961C4—42no—
1962C4—42no—
1963C4—44no—
1964C4—42no—
1965C4—42no—
1966C4—42no—
1967C4—42no—
1968C4C2×#56014yes—
1969C4C2×#56014yes—
1970C2—24no—
1971C2—42no—
1972C2—42no—
1973C2—81no—
1974C2—81no—
1975C2—82no—
1976C2—82no—
1977C2—84no—
1978C2C22×#56011yescharacteristic
1979C2#6282111yescharacteristic
1980C2#6287511yescharacteristic
1981C2#6292411yescharacteristic
1982C2#6292411yescharacteristic
1983C2#6295411yescharacteristic
1984C2#6295411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53073C2semidirect
2. #53066C2semidirect
3. #53064C2semidirect
4. #53044C2semidirect
5. #53022C2semidirect
6. #53014C2semidirect
7. #52977C2semidirect
8. #52956C2semidirect
9. #52741C2semidirect
10. #52397C2semidirect
11. #46335C2semidirect
12. #46334C2semidirect
13. #45708C2semidirect
14. #45669C2semidirect
15. #45647C2semidirect
16. #45646C2semidirect
17. #45623C2semidirect
18. #45598C2semidirect
19. #45522C2semidirect
20. #45508C2semidirect
21. #35677C2semidirect
22. #35672C2semidirect
23. #35661C2semidirect
24. #35617C2semidirect
25. #35540C2semidirect
26. #35514C2semidirect
27. #35306C2semidirect
28. #35305C2semidirect
29. #35252C2semidirect
30. #35250C2semidirect
31. #35160C2semidirect
32. #35160C2semidirect
33. C2×#2540C2semidirect
34. #34809C2semidirect
35. #34736C2semidirect
41. C22×#124C22semidirect
45. C22×C22⋊Q8C22semidirect
47. C22×#121C22semidirect
48. C2×#519C22semidirect
49. C2×#518C22semidirect
51. C22×#117C22semidirect
52. #2857C22semidirect
53. #2856C22semidirect
54. #2852C22semidirect
55. #2852C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2848C22semidirect
59. #2848C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2841C22semidirect
63. #2838C22semidirect
64. #2838C22semidirect
65. #2830C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2828C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
73. #2827C22semidirect
74. #2827C22semidirect
75. #2826C22semidirect
76. #2826C22semidirect
77. #2825C22semidirect
78. #2825C22semidirect
79. #2813C22semidirect
80. #2813C22semidirect
81. #2812C22semidirect
82. #2803C22semidirect
83. #2803C22semidirect
84. #2797C22semidirect
85. #2797C22semidirect
86. #2796C22semidirect
87. #2796C22semidirect
88. #2784C22semidirect
89. #2780C22semidirect
90. #2780C22semidirect
91. #2778C22semidirect
92. #2778C22semidirect
93. #2757C22semidirect
94. #2757C22semidirect
95. #2756C22semidirect
96. #2756C22semidirect
97. #2752C22semidirect
98. #2749C22semidirect
99. #2749C22semidirect
100. #2748C22semidirect
101. #2746C22semidirect
102. #2746C22semidirect
103. #2742C22semidirect
104. #2737C22semidirect
105. #2737C22semidirect
106. #2714C22semidirect
107. #2714C22semidirect
108. #2705C22semidirect
109. #2705C22semidirect
110. #2703C22semidirect
111. #2703C22semidirect
112. #2699C22semidirect
113. #2697C22semidirect
114. #2693C22semidirect
115. #2691C22semidirect
116. #2691C22semidirect
117. #2685C22semidirect
118. #2685C22semidirect
119. #2678C22semidirect
120. #2678C22semidirect
121. #2668C22semidirect
122. #2643C22semidirect
123. #2643C22semidirect
124. #2621C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2616C22semidirect
129. #2616C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2547C22semidirect
135. #2547C22semidirect
136. #2545C22semidirect
137. #2545C22semidirect
138. #2544C22semidirect
139. #2544C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
152. #2536C22semidirect
153. #2536C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2514C22semidirect
157. #2514C22semidirect
158. #2513C22semidirect
159. #2513C22semidirect
160. #2512C22semidirect
161. #2512C22semidirect
162. #2511C22semidirect
163. #2511C22semidirect
164. #2497C22semidirect
165. #2497C22semidirect
166. #2496C22semidirect
167. #2496C22semidirect
168. #2495C22semidirect
169. #2495C22semidirect
170. #2494C22semidirect
171. #2494C22semidirect
172. #2487C22semidirect
173. #2487C22semidirect
174. #2486C22semidirect
175. #2486C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2484C22semidirect
181. #2484C22semidirect
182. #2483C22semidirect
183. #2483C22semidirect
186. #2436C22semidirect
187. #2435C22semidirect
188. #2434C22semidirect
189. #2433C22semidirect
190. #2432C22semidirect
191. #2432C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
202. #2427C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
209. #2426C22semidirect
210. #2423C22semidirect
211. #2423C22semidirect
212. #2423C22semidirect
213. #2423C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2422C22semidirect
217. #2422C22semidirect
218. #2421C22semidirect
219. #2421C22semidirect
220. #2421C22semidirect
221. #2421C22semidirect
222. #2420C22semidirect
223. #2420C22semidirect
224. #2420C22semidirect
225. #2420C22semidirect
226. #2417C22semidirect
227. #2417C22semidirect
228. #2416C22semidirect
229. #2416C22semidirect
230. #2415C22semidirect
231. #2415C22semidirect
232. #2414C22semidirect
233. #2414C22semidirect
234. #2413C22semidirect
235. #2413C22semidirect
236. #2412C22semidirect
237. #2412C22semidirect
238. #2412C22semidirect
239. #2412C22semidirect
240. #2411C22semidirect
241. #2411C22semidirect
242. #2411C22semidirect
243. #2411C22semidirect
244. #2410C22semidirect
245. #2410C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
266. C2×#399C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
270. #2377C22semidirect
271. #2377C22semidirect
272. #2376C22semidirect
273. #2375C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
276. #2317C22semidirect
277. #2317C22semidirect
282. #2310C22semidirect
283. #2309C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
286. C4×#120C22semidirect
287. C4×#120C22semidirect
290. #2296C22semidirect
291. #2296C22semidirect
293. C2×#390C22semidirect
297. #2280C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#530732
#530662
#530642
#530442
#530222
#530142
#529772
#529562
#527412
#523972
#463352
#463342
#457082
#456692
#456472
#456462
#456232
#455982
#455222
#455082
#356772
#356722
#356612
#356172
#355402
#355142
#353062
#353052
#352522
#352502
#351602
C2×#25402
#348092
#347362