Finite Group Databasebeta

← #8424464

Subgroups — #8424464

Order 512.

5918 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59143C211yesmaximal, characteristic, complemented
3#59143C212yesmaximal, complemented
4#59080C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#55550C214yesmaximal, complemented
7#55525C214yesmaximal, complemented
8#53106C212yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#52995C212yesmaximal, complemented
11#52960C212yesmaximal, complemented
12#52316C214yesmaximal, complemented
13#42805C212yesmaximal, complemented
14#42603C212yesmaximal, complemented
15#42580C212yesmaximal, complemented
16#42444C212yesmaximal, complemented
17#40638C214yesmaximal, complemented
18#39387C211yesmaximal, characteristic, complemented
19#39352C211yesmaximal, characteristic, complemented
20#39171C211yesmaximal, characteristic, complemented
21#39137C211yesmaximal, characteristic, complemented
22#38962C212yesmaximal, complemented
23#38916C212yesmaximal, complemented
24#37694C212yesmaximal, complemented
25#37664C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37492C212yesmaximal, complemented
29#37451C212yesmaximal, complemented
30#36552C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32D4×C22⋊Q8C211yesmaximal, characteristic, complemented
33C2×#2541C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#559C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yescomplemented
40C2×#546C2212yes—
41C2×#542C2212yescomplemented
42C2×#540C2212yescomplemented
43C2×#532C2211yescharacteristic, complemented
44C22×#127C2211yescharacteristic
45C22×#127C2212yes—
46C2×#529C2211yescharacteristic, complemented
47C22×C22⋊Q8C2212yes—
48C22×#121C2212yes—
49C22×#121C2212yes—
50C22×C4×D4C2211yescharacteristic
51#2858C2211yescharacteristic, complemented
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2851C2212yes—
55#2848C2212yes—
56#2830C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2826C2214yescomplemented
61#2826C2214yescomplemented
62#2824C2214yescomplemented
63#2824C2214yescomplemented
64#2819C2214yescomplemented
65#2816C2214yescomplemented
66#2816C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2784C2214yescomplemented
71#2780C2214yescomplemented
72#2748C2214yescomplemented
73#2730C2214yescomplemented
74#2710C2214yescomplemented
75#2709C2214yescomplemented
76#2709C2214yescomplemented
77#2709C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2708C2214yescomplemented
81#2708C2214yescomplemented
82#2706C2214yescomplemented
83#2706C2214yescomplemented
84#2706C2214yescomplemented
85#2705C2214yescomplemented
86#2705C2214yescomplemented
87#2701C2214yescomplemented
88#2696C2214yescomplemented
89#2696C2214yescomplemented
90#2696C2214yescomplemented
91#2693C2214yescomplemented
92#2693C2214yescomplemented
93#2692C2214yescomplemented
94#2691C2214yescomplemented
95#2686C2214yescomplemented
96#2682C2214yescomplemented
97#2681C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2676C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2662C2214yescomplemented
108#2651C2214yescomplemented
109#2644C2212yescomplemented
110#2641C2212yescomplemented
111#2640C2212yescomplemented
112#2636C2214yescomplemented
113#2636C2214yescomplemented
114#2630C2214yescomplemented
115#2630C2214yescomplemented
116#2626C2214yes—
117#2626C2214yes—
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2622C2214yes—
121#2620C2212yescomplemented
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2618C2214yescomplemented
129#2618C2214yescomplemented
130#2590C2214yescomplemented
131#2580C2212yescomplemented
132#2568C2211yescharacteristic, complemented
133#2566C2212yescomplemented
134#2563C2212yescomplemented
135#2552C2211yescharacteristic, complemented
136#2548C2212yescomplemented
137#2548C2212yescomplemented
138#2548C2211yescharacteristic, complemented
139#2548C2211yescharacteristic, complemented
140#2544C2212yescomplemented
141#2544C2212yescomplemented
142#2544C2212yescomplemented
143#2544C2212yescomplemented
144#2544C2214yescomplemented
145#2544C2212yescomplemented
146#2542C2211yescharacteristic, complemented
147#2541C2211yescharacteristic
148#2541C2212yes—
149#2541C2212yes—
150#2541C2212yes—
151#2541C2212yes—
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2541C2214yes—
155#2541C2211yescharacteristic
156#2540C2212yescomplemented
157#2538C2212yescomplemented
158#2538C2211yescharacteristic, complemented
159#2537C2212yescomplemented
160#2537C2212yescomplemented
161#2522C2212yescomplemented
162#2520C2212yescomplemented
163#2512C2212yescomplemented
164#2511C2212yescomplemented
165#2511C2211yescharacteristic, complemented
166#2508C2212yescomplemented
167#2507C2211yescharacteristic, complemented
168#2505C2214yes—
169#2505C2212yes—
170#2502C2212yes—
171#2502C2211yescharacteristic
172#2501C2212yescomplemented
173#2501C2212yescomplemented
174#2497C2211yescharacteristic, complemented
175#2492C2211yescharacteristic, complemented
176#2491C2212yescomplemented
177#2491C2212yescomplemented
178#2487C2211yescharacteristic
179#2480C2214yes—
180#2480C2212yes—
181#2472C2214yes—
182#2468C2212yescomplemented
183#2463C2214yescomplemented
184#2457C2212yescomplemented
185#2455C2214yescomplemented
186#2454C2212yescomplemented
187#2454C2212yescomplemented
188#2454C2212yescomplemented
189#2454C2211yescharacteristic, complemented
190#2453C2212yescomplemented
191#2452C2212yescomplemented
192#2452C2212yescomplemented
193#2450C2212yes—
194#2449C2214yescomplemented
195#2448C2212yescomplemented
196#2447C2211yescharacteristic, complemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2214yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2443C2214yescomplemented
207#2442C2211yescharacteristic
208#2440C2211yescharacteristic
209#2440C2212yes—
210#2437C2214yes—
211#2437C2214yes—
212#2437C2214yes—
213#2436C2212yescomplemented
214#2436C2212yescomplemented
215#2436C2212yescomplemented
216#2435C2212yes—
217#2435C2211yescharacteristic
218#2435C2214yes—
219#2435C2212yes—
220#2435C2212yes—
221#2431C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2427C2212yescomplemented
227#2427C2212yescomplemented
228#2427C2212yescomplemented
229#2427C2212yescomplemented
230#2427C2211yescharacteristic, complemented
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2426C2212yescomplemented
234#2422C2212yescomplemented
235#2422C2212yescomplemented
236#2422C2212yescomplemented
237#2420C2211yescharacteristic, complemented
238#2418C2212yes—
239#2417C2211yescharacteristic
240#2417C2211yescharacteristic
241#2417C2212yescomplemented
242#2416C2212yescomplemented
243#2416C2214yescomplemented
244#2410C2214yes—
245#2410C2214yes—
246#2409C2212yescomplemented
247#2408C2212yes—
248#2408C2212yes—
249#2408C2211yescharacteristic
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2405C2214yes—
254#2405C2214yes—
255#2405C2214yes—
256#2405C2214yes—
257#2405C2214yes—
258#2402C2212yescomplemented
259#2396C2212yescomplemented
260#2395C2212yescomplemented
261#2392C2212yescomplemented
262C2×#392C2214yes—
263#2366C2212yescomplemented
264#2366C2211yescharacteristic, complemented
265#2365C2211yescharacteristic, complemented
266#2361C2212yescomplemented
267#2360C2212yes—
268#2355C2212yescomplemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270D4×C4⋊C4C2212yescomplemented
271D4×C4⋊C4C2211yescharacteristic, complemented
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276D4×C22⋊C4C2214yes—
277D4×C22⋊C4C2212yes—
278#2328C2212yescomplemented
279#2324C2212yescomplemented
280#2315C2214yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic, complemented
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2314yes—
305C23×D4C2312yes—
306C23×D4C2314yes—
307C24×C4C2312yes—
308#559—48no—
309#559—44no—
310D4×Q8—44no—
311#548—48no—
312#546—48no—
313#542—48no—
314#540—48no—
315#532—44no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×#127—44no—
320C2×#127—48no—
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2314yes—
327C2×#127C2314yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332#529—44no—
333C2×#126C2312yes—
334C2×#126C2314yes—
335C2×#125C2311yescharacteristic
336C2×#125C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2311yescharacteristic
348C2×#124C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8—48no—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×#121—48no—
378C2×#121—48no—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#120C2314yes—
404C2×#120C2312yes—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4—44no—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2314yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C22⋊C4C2314yes—
444C22×C22⋊C4C2314yes—
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2314yes—
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2312yes—
452#400C2314yes—
453#400C2312yes—
454#400C2312yes—
455#400C2314yes—
456#400C2314yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2312yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2312yes—
479#398C2312yes—
480#398C2312yes—
481#398C2312yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2312yes—
512#396C2312yes—
513#395C2314yes—
514#395C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2312yes—
561#394C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2312yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2314yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#391C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2311yescharacteristic
630#390C2314yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#384C2312yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#381C2312yes—
755#381C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#379C2314yes—
780#379C2312yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2312yes—
787#379C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822#376C2312yes—
823C2×#95C2312yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2414yes—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×D4—24no—
839C22×D4—28no—
840C22×D4—24no—
841C22×D4—28no—
842C22×D4—42no—
843C22×D4—44no—
844C22×D4—48no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—48no—
850C22×D4—44no—
851C22×D4—48no—
852C22×D4—48no—
853C22×D4—48no—
854C22×D4—82no—
855C22×D4—84no—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C23×C4—28no—
882C23×C4—44no—
883C23×C4—44no—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2414yes—
903C4⋊Q8—24no—
904C4⋊Q8—24no—
905C4⋊Q8—44no—
906#127—28no—
907#127—28no—
908#127—24no—
909#127—24no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—48no—
916#127—48no—
917#126—44no—
918#126—48no—
919#125—42no—
920#125—44no—
921#124—24no—
922#124—48no—
923#124—42no—
924#124—44no—
925#124—44no—
926#124—48no—
927#124—44no—
928#124—44no—
929#124—44no—
930#124—44no—
931#124—44no—
932#124—48no—
933#123—48no—
934#123—48no—
935#123—44no—
936#123—48no—
937#123—48no—
938#123—48no—
939#123—48no—
940#123—48no—
941#123—84no—
942#123—84no—
943#123—84no—
944#123—84no—
945C22⋊Q8—24no—
946C22⋊Q8—28no—
947C22⋊Q8—24no—
948C22⋊Q8—24no—
949C22⋊Q8—48no—
950C22⋊Q8—44no—
951C22⋊Q8—48no—
952C22⋊Q8—48no—
953C22⋊Q8—48no—
954C22⋊Q8—48no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957C22⋊Q8—42no—
958C22⋊Q8—44no—
959C22⋊Q8—44no—
960#121—24no—
961#121—28no—
962#121—28no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—48no—
976#121—42no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—48no—
982#121—84no—
983#121—82no—
984#120—44no—
985#120—48no—
986C4×Q8—28no—
987C4×Q8—24no—
988C4×Q8—24no—
989C4×Q8—44no—
990C4×Q8—44no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—44no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—48no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—42no—
1013C4×D4—48no—
1014C4×D4—82no—
1015#117—44no—
1016#117—44no—
1017#117—44no—
1018C2×C4⋊C4—24no—
1019C2×C4⋊C4—24no—
1020C2×C4⋊C4—42no—
1021C2×C4⋊C4—44no—
1022C2×C4⋊C4—48no—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C22⋊C4—44no—
1084C2×C22⋊C4—48no—
1085C2×C22⋊C4—48no—
1086C2×C22⋊C4—48no—
1087C2×C22⋊C4—48no—
1088C2×C22⋊C4—48no—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C42—24no—
1165C2×C42—24no—
1166C2×C42—44no—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2414yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2414yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—24no—
1245C24—24no—
1246C24—24no—
1247C24—24no—
1248C24—28no—
1249C24—28no—
1250C24—28no—
1251C24—42no—
1252C24—42no—
1253C24—42no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24C2512yes—
1259C24C2514yes—
1260C24C2514yes—
1261C24C2511yescharacteristic
1262C24C2512yes—
1263C24C2511yescharacteristic
1264#41—816no—
1265C2×Q8—22no—
1266C2×Q8—24no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—22no—
1275C2×Q8—42no—
1276C2×Q8—44no—
1277C2×Q8—44no—
1278C2×Q8—44no—
1279C2×Q8—42no—
1280C2×Q8—816no—
1281C2×D4—22no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—28no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—22no—
1305C2×D4—28no—
1306C2×D4—28no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—28no—
1314C2×D4—416no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—816no—
1357C2×D4—816no—
1358C2×D4—832no—
1359C2×D4—816no—
1360C2×D4—832no—
1361C2×D4H(5,𝔽2)14yes—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—28no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—41no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—41no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—41no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—816no—
1418C22×C4H(5,𝔽2)14yes—
1419C22×C42−1+414yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2514yes—
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2514yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—41no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4H(5,𝔽2)14yes—
1509C22⋊C4—22no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—22no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—22no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—22no—
1526C22⋊C4—24no—
1527C22⋊C4—22no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—41no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—24no—
1591C42—24no—
1592C42—22no—
1593C42—24no—
1594C42—24no—
1595C42—24no—
1596C42—22no—
1597C42—24no—
1598C42—22no—
1599C42—28no—
1600C42—22no—
1601C42—42no—
1602C42—42no—
1603C42—41no—
1604C42—44no—
1605C42—41no—
1606C42H(5,𝔽2)14yes—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—24no—
1620C23—24no—
1621C23—21no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—24no—
1627C23—24no—
1628C23—24no—
1629C23—21no—
1630C23—24no—
1631C23—24no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—24no—
1636C23—24no—
1637C23—24no—
1638C23—21no—
1639C23—22no—
1640C23—24no—
1641C23—24no—
1642C23—22no—
1643C23—21no—
1644C23—24no—
1645C23—48no—
1646C23—48no—
1647C23—48no—
1648C23—48no—
1649C23—416no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—88no—
1657C23—88no—
1658C23—88no—
1659C23C2×H(5,𝔽2)14yes—
1660C23C2×H(5,𝔽2)12yes—
1661C23C2×2−1+412yes—
1662C23#58512yes—
1663C23C2611yescharacteristic
1664Q8—44no—
1665Q8—44no—
1666Q8—48no—
1667Q8—84no—
1668Q8—88no—
1669D4—28no—
1670D4—48no—
1671D4—416no—
1672D4—48no—
1673D4—44no—
1674D4—44no—
1675D4—48no—
1676D4—48no—
1677D4—48no—
1678D4—48no—
1679D4—88no—
1680D4—88no—
1681D4—88no—
1682D4—84no—
1683D4—84no—
1684D4—88no—
1685D4—88no—
1686D4—88no—
1687D4—84no—
1688D4—88no—
1689D4—88no—
1690D4—88no—
1691D4—88no—
1692D4—88no—
1693D4—164no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—28no—
1703C2×C4—28no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—24no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—44no—
1777C2×C4—48no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—82no—
1781C2×C4—84no—
1782C2×C4—84no—
1783C2×C4—88no—
1784C2×C4—84no—
1785C2×C4—88no—
1786C2×C4—88no—
1787C2×C4—164no—
1788C2×C4—164no—
1789C2×C4—164no—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×H(5,𝔽2)14yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×H(5,𝔽2)12yes—
1798C2×C4C2×2−1+412yes—
1799C2×C4C2×2−1+412yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—24no—
1807C22—24no—
1808C22—24no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—41no—
1814C22—42no—
1815C22—44no—
1816C22—44no—
1817C22—42no—
1818C22—41no—
1819C22—44no—
1820C22—44no—
1821C22—41no—
1822C22—42no—
1823C22—44no—
1824C22—44no—
1825C22—44no—
1826C22—44no—
1827C22—42no—
1828C22—41no—
1829C22—44no—
1830C22—42no—
1831C22—44no—
1832C22—41no—
1833C22—41no—
1834C22—42no—
1835C22—44no—
1836C22—44no—
1837C22—41no—
1838C22—44no—
1839C22—44no—
1840C22—42no—
1841C22—816no—
1842C22—1616no—
1843C22#355414yes—
1844C22C22×H(5,𝔽2)11yescharacteristic
1845C22C22×H(5,𝔽2)11yescharacteristic
1846C22C22×H(5,𝔽2)11yescharacteristic
1847C22C22×H(5,𝔽2)11yescharacteristic
1848C22C22×2−1+411yescharacteristic
1849C22C2×#58511yescharacteristic
1850C22H(7,𝔽2)11yescharacteristic
1851C4—22no—
1852C4—22no—
1853C4—24no—
1854C4—22no—
1855C4—41no—
1856C4—42no—
1857C4—42no—
1858C4—41no—
1859C4—42no—
1860C4—44no—
1861C4—42no—
1862C4—41no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—44no—
1871C4—41no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—42no—
1877C4—42no—
1878C4#353614yes—
1879C4#354314yes—
1880C2—24no—
1881C2—44no—
1882C2—81no—
1883C2—82no—
1884C2—84no—
1885C2—84no—
1886C2C2×#353611yescharacteristic
1887C2C2×#354311yescharacteristic
1888C2C2×#355411yescharacteristic
1889C2#6291211yescharacteristic
1890C2#6291711yescharacteristic
1891C2#6292411yescharacteristic
1892C2#6301211yescharacteristic
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. #59641C2semidirect
2. #59143C2semidirect
3. #59143C2semidirect
4. #59080C2semidirect
5. #58996C2semidirect
6. #55550C2semidirect
7. #55525C2semidirect
8. #53106C2semidirect
9. #53096C2semidirect
10. #52995C2semidirect
11. #52960C2semidirect
12. #52316C2semidirect
13. #42805C2semidirect
14. #42603C2semidirect
15. #42580C2semidirect
16. #42444C2semidirect
17. #40638C2semidirect
18. #39387C2semidirect
19. #39352C2semidirect
20. #39171C2semidirect
21. #39137C2semidirect
22. #38962C2semidirect
23. #38916C2semidirect
24. #37694C2semidirect
25. #37664C2semidirect
26. #37625C2semidirect
27. #37616C2semidirect
28. #37492C2semidirect
29. #37451C2semidirect
30. #36552C2semidirect
31. #36121C2semidirect
32. D4×C22⋊Q8C2semidirect
33. C2×#2541C2semidirect
34. #34772C2semidirect
35. #34700C2semidirect
36. C2×#559C22semidirect
37. C2×#559C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
41. C2×#542C22semidirect
42. C2×#540C22semidirect
43. C2×#532C22semidirect
46. C2×#529C22semidirect
51. #2858C22semidirect
53. #2856C22semidirect
56. #2830C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2826C22semidirect
61. #2826C22semidirect
62. #2824C22semidirect
63. #2824C22semidirect
64. #2819C22semidirect
65. #2816C22semidirect
66. #2816C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2784C22semidirect
71. #2780C22semidirect
72. #2748C22semidirect
73. #2730C22semidirect
74. #2710C22semidirect
75. #2709C22semidirect
76. #2709C22semidirect
77. #2709C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2708C22semidirect
81. #2708C22semidirect
82. #2706C22semidirect
83. #2706C22semidirect
84. #2706C22semidirect
85. #2705C22semidirect
86. #2705C22semidirect
87. #2701C22semidirect
88. #2696C22semidirect
89. #2696C22semidirect
90. #2696C22semidirect
91. #2693C22semidirect
92. #2693C22semidirect
93. #2692C22semidirect
94. #2691C22semidirect
95. #2686C22semidirect
96. #2682C22semidirect
97. #2681C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2676C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2662C22semidirect
108. #2651C22semidirect
109. #2644C22semidirect
110. #2641C22semidirect
111. #2640C22semidirect
112. #2636C22semidirect
113. #2636C22semidirect
114. #2630C22semidirect
115. #2630C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
121. #2620C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2618C22semidirect
129. #2618C22semidirect
130. #2590C22semidirect
131. #2580C22semidirect
132. #2568C22semidirect
133. #2566C22semidirect
134. #2563C22semidirect
135. #2552C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
138. #2548C22semidirect
139. #2548C22semidirect
140. #2544C22semidirect
141. #2544C22semidirect
142. #2544C22semidirect
143. #2544C22semidirect
144. #2544C22semidirect
145. #2544C22semidirect
146. #2542C22semidirect
156. #2540C22semidirect
157. #2538C22semidirect
158. #2538C22semidirect
159. #2537C22semidirect
160. #2537C22semidirect
161. #2522C22semidirect
162. #2520C22semidirect
163. #2512C22semidirect
164. #2511C22semidirect
165. #2511C22semidirect
166. #2508C22semidirect
167. #2507C22semidirect
172. #2501C22semidirect
173. #2501C22semidirect
174. #2497C22semidirect
175. #2492C22semidirect
176. #2491C22semidirect
177. #2491C22semidirect
182. #2468C22semidirect
183. #2463C22semidirect
184. #2457C22semidirect
185. #2455C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2454C22semidirect
189. #2454C22semidirect
190. #2453C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
194. #2449C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2443C22semidirect
213. #2436C22semidirect
214. #2436C22semidirect
215. #2436C22semidirect
221. #2431C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2427C22semidirect
227. #2427C22semidirect
228. #2427C22semidirect
229. #2427C22semidirect
230. #2427C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
236. #2422C22semidirect
237. #2420C22semidirect
241. #2417C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
246. #2409C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
258. #2402C22semidirect
259. #2396C22semidirect
260. #2395C22semidirect
261. #2392C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2365C22semidirect
266. #2361C22semidirect
268. #2355C22semidirect
269. Q8×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
278. #2328C22semidirect
279. #2324C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
283. C4×#124C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
291. #2295C22semidirect
292. #2293C22semidirect
295. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596412
#591432
#590802
#589962
#555502
#555252
#531062
#530962
#529952
#529602
#523162
#428052
#426032
#425802
#424442
#406382
#393872
#393522
#391712
#391372
#389622
#389162
#376942
#376642
#376252
#376162
#374922
#374512
#365522
#361212
D4×C22⋊Q82
C2×#25412
#347722
#347002