Finite Group Databasebeta

← #8424434

Subgroups — #8424434

Order 512.

5740 conjugacy classes of subgroups.

The subgroup lattice has 1911 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59654C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59213C211yesmaximal, characteristic, complemented
4#59013C212yesmaximal, complemented
5#58996C212yesmaximal, complemented
6#55039C214yesmaximal, complemented
7#54930C214yesmaximal, complemented
8#53101C212yesmaximal, complemented
9#53014C212yesmaximal, complemented
10#52970C212yesmaximal, complemented
11#52962C212yesmaximal, complemented
12#52394C214yesmaximal, complemented
13#42984C212yesmaximal, complemented
14#42601C212yesmaximal, complemented
15#42591C212yesmaximal, complemented
16#42445C212yesmaximal, complemented
17#40644C214yesmaximal, complemented
18#39378C211yesmaximal, characteristic, complemented
19#39340C211yesmaximal, characteristic, complemented
20#39193C211yesmaximal, characteristic, complemented
21#39124C211yesmaximal, characteristic, complemented
22#38938C212yesmaximal, complemented
23#38928C212yesmaximal, complemented
24#37662C212yesmaximal, complemented
25#37648C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37477C212yesmaximal, complemented
29#37442C212yesmaximal, complemented
30#36189C211yesmaximal, characteristic, complemented
31#36153C211yesmaximal, characteristic, complemented
32D4×C22⋊Q8C211yesmaximal, characteristic, complemented
33C2×#2537C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yescomplemented
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2212yes—
41C2×#540C2212yescomplemented
42C2×#537C2212yescomplemented
43C2×#532C2211yescharacteristic, complemented
44C2×#529C2211yescharacteristic, complemented
45C2×#525C2212yes—
46C22×C22⋊Q8C2212yes—
47C22×#121C2212yes—
48C22×#121C2212yes—
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51#2859C2211yescharacteristic, complemented
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic, complemented
54#2848C2212yes—
55#2847C2212yes—
56#2841C2214yescomplemented
57#2841C2214yescomplemented
58#2837C2214yescomplemented
59#2830C2214yescomplemented
60#2829C2214yescomplemented
61#2829C2214yescomplemented
62#2827C2214yescomplemented
63#2826C2214yescomplemented
64#2824C2214yescomplemented
65#2816C2214yescomplemented
66#2814C2214yescomplemented
67#2814C2214yescomplemented
68#2813C2214yescomplemented
69#2813C2214yescomplemented
70#2790C2214yescomplemented
71#2784C2214yescomplemented
72#2781C2214yescomplemented
73#2779C2214yescomplemented
74#2770C2214yescomplemented
75#2768C2214yescomplemented
76#2761C2214yescomplemented
77#2757C2214yescomplemented
78#2756C2214yescomplemented
79#2750C2214yescomplemented
80#2743C2214yescomplemented
81#2737C2214yescomplemented
82#2723C2214yescomplemented
83#2708C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2701C2214yescomplemented
87#2701C2214yescomplemented
88#2699C2214yescomplemented
89#2696C2214yescomplemented
90#2695C2214yescomplemented
91#2691C2214yescomplemented
92#2691C2214yescomplemented
93#2688C2214yescomplemented
94#2686C2214yescomplemented
95#2686C2214yescomplemented
96#2682C2214yescomplemented
97#2681C2214yescomplemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2676C2214yescomplemented
101#2675C2214yescomplemented
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2662C2214yescomplemented
108#2659C2214yes—
109#2659C2214yescomplemented
110#2651C2214yescomplemented
111#2646C2214yes—
112#2646C2214yescomplemented
113#2639C2214yes—
114#2638C2214yescomplemented
115#2630C2214yescomplemented
116#2629C2212yescomplemented
117#2629C2212yescomplemented
118#2628C2212yescomplemented
119#2628C2212yescomplemented
120#2627C2214yescomplemented
121#2625C2212yescomplemented
122#2625C2212yescomplemented
123#2624C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yescomplemented
126#2618C2214yescomplemented
127#2616C2212yescomplemented
128#2616C2212yescomplemented
129#2615C2212yescomplemented
130#2579C2214yes—
131#2570C2212yescomplemented
132#2566C2212yescomplemented
133#2563C2212yescomplemented
134#2562C2212yescomplemented
135#2552C2211yescharacteristic, complemented
136#2547C2211yescharacteristic, complemented
137#2543C2214yescomplemented
138#2542C2211yescharacteristic, complemented
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2538C2211yescharacteristic, complemented
142#2538C2211yescharacteristic, complemented
143#2537C2211yescharacteristic
144#2537C2212yes—
145#2537C2211yescharacteristic
146#2537C2212yes—
147#2537C2212yes—
148#2537C2212yes—
149#2537C2214yes—
150#2537C2211yescharacteristic
151#2537C2211yescharacteristic
152#2537C2212yescomplemented
153#2537C2212yescomplemented
154#2537C2211yescharacteristic, complemented
155#2536C2212yescomplemented
156#2535C2212yescomplemented
157#2511C2212yescomplemented
158#2507C2212yescomplemented
159#2507C2212yescomplemented
160#2504C2212yescomplemented
161#2502C2212yescomplemented
162#2497C2212yescomplemented
163#2497C2212yescomplemented
164#2497C2212yescomplemented
165#2496C2212yescomplemented
166#2495C2212yescomplemented
167#2495C2212yescomplemented
168#2491C2212yescomplemented
169#2490C2212yescomplemented
170#2490C2212yescomplemented
171#2489C2212yescomplemented
172#2487C2212yes—
173#2486C2212yescomplemented
174#2486C2212yescomplemented
175#2486C2212yescomplemented
176#2486C2212yescomplemented
177#2485C2212yescomplemented
178#2480C2214yes—
179#2480C2212yes—
180#2472C2214yes—
181#2472C2212yes—
182#2468C2214yescomplemented
183#2468C2212yescomplemented
184#2464C2212yescomplemented
185#2461C2214yescomplemented
186#2461C2212yescomplemented
187#2457C2212yescomplemented
188#2454C2211yescharacteristic, complemented
189#2452C2211yescharacteristic, complemented
190#2452C2212yescomplemented
191#2449C2214yescomplemented
192#2447C2211yescharacteristic, complemented
193#2445C2211yescharacteristic, complemented
194#2444C2214yescomplemented
195#2443C2214yescomplemented
196#2442C2211yescharacteristic
197#2442C2212yes—
198#2442C2212yes—
199#2442C2212yescomplemented
200#2442C2212yescomplemented
201#2441C2212yescomplemented
202#2440C2212yes—
203#2440C2211yescharacteristic
204#2440C2212yescomplemented
205#2440C2212yescomplemented
206#2437C2214yes—
207#2437C2214yes—
208#2437C2214yes—
209#2436C2212yescomplemented
210#2435C2211yescharacteristic
211#2433C2211yescharacteristic
212#2428C2212yescomplemented
213#2428C2212yescomplemented
214#2428C2211yescharacteristic, complemented
215#2427C2212yescomplemented
216#2427C2212yescomplemented
217#2427C2211yescharacteristic, complemented
218#2426C2212yescomplemented
219#2425C2214yescomplemented
220#2424C2214yes—
221#2424C2212yes—
222#2423C2212yescomplemented
223#2423C2212yescomplemented
224#2422C2211yescharacteristic, complemented
225#2420C2211yescharacteristic, complemented
226#2420C2212yescomplemented
227#2420C2212yescomplemented
228#2420C2212yescomplemented
229#2418C2214yes—
230#2418C2212yes—
231#2417C2212yes—
232#2417C2212yes—
233#2417C2211yescharacteristic
234#2417C2212yes—
235#2417C2212yescomplemented
236#2417C2212yescomplemented
237#2416C2211yescharacteristic
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2214yescomplemented
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2412C2214yes—
246#2412C2214yes—
247#2412C2214yes—
248#2410C2214yes—
249#2410C2214yes—
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2408C2211yescharacteristic
254#2408C2214yes—
255#2408C2211yescharacteristic
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2395C2212yescomplemented
259#2392C2212yescomplemented
260#2392C2212yescomplemented
261#2388C2212yescomplemented
262C2×#394C2214yes—
263#2361C2212yes—
264#2361C2212yescomplemented
265#2361C2212yescomplemented
266#2360C2212yes—
267#2355C2211yescharacteristic, complemented
268#2352C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2211yescharacteristic, complemented
271D4×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2212yescomplemented
273D4×C4⋊C4C2211yescharacteristic, complemented
274#2345C2212yes—
275#2339C2212yescomplemented
276D4×C22⋊C4C2212yes—
277D4×C22⋊C4C2214yes—
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2318C2214yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic, complemented
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic, complemented
288C4×#120C2212yes—
289C4×#120C2212yes—
290#2293C2211yescharacteristic, complemented
291#2293C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293C2×#384C2211yescharacteristic
294#2280C2212yes—
295C2×#380C2212yes—
296C2×#380C2212yes—
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C23×D4C2311yescharacteristic
304C23×D4C2314yes—
305C24×C4C2312yes—
306C24×C4C2312yes—
307#553—48no—
308D4×Q8—44no—
309#548—48no—
310#547—44no—
311#546—48no—
312#540—48no—
313#537—48no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320#529—44no—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2314yes—
331#525—48no—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×C22⋊Q8—48no—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×#121—48no—
359C2×#121—48no—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2311yescharacteristic
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#120C2314yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×D4—44no—
400C2×C4×D4—44no—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2314yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2312yes—
463#399C2314yes—
464#399C2314yes—
465#399C2312yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2312yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2312yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2314yes—
505#397C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2312yes—
518#396C2314yes—
519#396C2314yes—
520#396C2312yes—
521#396C2312yes—
522#396C2314yes—
523#395C2314yes—
524#395C2312yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2314yes—
574#393C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2312yes—
582#392C2312yes—
583#392C2312yes—
584#392C2312yes—
585#392C2312yes—
586#392C2314yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2314yes—
607#390C2312yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2314yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#383C2314yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#381C2314yes—
746#381C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#379C2314yes—
791#379C2312yes—
792#379C2312yes—
793#379C2312yes—
794#379C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C2×#95C2314yes—
823C2×#95C2314yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2412yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×Q8C2412yes—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—42no—
845C22×D4—42no—
846C22×D4—48no—
847C22×D4—48no—
848C22×D4—48no—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C23×C4—28no—
874C23×C4—28no—
875C23×C4—44no—
876C23×C4—44no—
877C23×C4—44no—
878C23×C4—44no—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2414yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C4⋊Q8—24no—
903C4⋊Q8—42no—
904C4⋊Q8—44no—
905#127—24no—
906#127—42no—
907#126—44no—
908#126—48no—
909#125—42no—
910#125—44no—
911#125—44no—
912#124—24no—
913#124—44no—
914#124—42no—
915#124—44no—
916#124—48no—
917#123—48no—
918#123—48no—
919#123—44no—
920#123—44no—
921#123—44no—
922#123—48no—
923#123—48no—
924#123—48no—
925C22⋊Q8—24no—
926C22⋊Q8—28no—
927C22⋊Q8—48no—
928C22⋊Q8—44no—
929C22⋊Q8—48no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—42no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942#121—28no—
943#121—28no—
944#121—28no—
945#121—28no—
946#121—24no—
947#121—24no—
948#121—24no—
949#121—44no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—42no—
966#121—42no—
967#121—42no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—48no—
973#121—48no—
974#120—44no—
975#120—44no—
976#120—44no—
977#120—44no—
978#120—48no—
979C4×Q8—24no—
980C4×Q8—44no—
981C4×D4—28no—
982C4×D4—24no—
983C4×D4—28no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—42no—
993C4×D4—42no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—48no—
1008C4×D4—42no—
1009C4×D4—48no—
1010C4×D4—48no—
1011#117—44no—
1012#117—44no—
1013#117—44no—
1014#117—44no—
1015C2×C4⋊C4—42no—
1016C2×C4⋊C4—42no—
1017C2×C4⋊C4—44no—
1018C2×C4⋊C4—44no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4—48no—
1021C2×C4⋊C4—44no—
1022C2×C4⋊C4—44no—
1023C2×C4⋊C4—44no—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—44no—
1088C2×C22⋊C4—44no—
1089C2×C22⋊C4—48no—
1090C2×C22⋊C4—48no—
1091C2×C22⋊C4—48no—
1092C2×C22⋊C4—48no—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243C24—24no—
1244C24—24no—
1245C24—24no—
1246C24—24no—
1247C24—24no—
1248C24—24no—
1249C24—24no—
1250C24—24no—
1251C24—42no—
1252C24—42no—
1253C24—42no—
1254C24—42no—
1255C24—42no—
1256C24—42no—
1257C24C2512yes—
1258C24C2512yes—
1259C24C2512yes—
1260C24C2511yescharacteristic
1261C24C2512yes—
1262C24C2512yes—
1263C24C2511yescharacteristic
1264#41—816no—
1265#41—816no—
1266C2×Q8—22no—
1267C2×Q8—24no—
1268C2×Q8—22no—
1269C2×Q8—24no—
1270C2×Q8—22no—
1271C2×Q8—24no—
1272C2×Q8—44no—
1273C2×Q8—42no—
1274C2×Q8—42no—
1275C2×Q8—44no—
1276C2×Q8—44no—
1277C2×Q8—42no—
1278C2×Q8—816no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—28no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—28no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—416no—
1312C2×D4—416no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—832no—
1352C2×D4H(5,𝔽2)14yes—
1353C2×D4H(5,𝔽2)14yes—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—28no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—41no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—41no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—41no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—816no—
1422C22×C4—816no—
1423C22×C4H(5,𝔽2)14yes—
1424C22×C42−1+414yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2514yes—
1435C22×C4C2514yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2514yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—41no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C22⋊C4—24no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—22no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—22no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—24no—
1536C22⋊C4—22no—
1537C22⋊C4—24no—
1538C22⋊C4—22no—
1539C22⋊C4—24no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—41no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—24no—
1601C42—24no—
1602C42—24no—
1603C42—22no—
1604C42—22no—
1605C42—41no—
1606C42—44no—
1607C42—41no—
1608C42—44no—
1609C42—44no—
1610C42H(5,𝔽2)14yes—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—21no—
1634C23—22no—
1635C23—21no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—21no—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—48no—
1656C23—48no—
1657C23—48no—
1658C23—48no—
1659C23—48no—
1660C23—48no—
1661C23—48no—
1662C23—48no—
1663C23—84no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—84no—
1668C23—84no—
1669C23C2×H(5,𝔽2)14yes—
1670C23C2×H(5,𝔽2)14yes—
1671C23C2×H(5,𝔽2)12yes—
1672C23C2×2−1+412yes—
1673C23#58512yes—
1674C23C2611yescharacteristic
1675Q8—44no—
1676Q8—48no—
1677Q8—88no—
1678Q8—84no—
1679D4—28no—
1680D4—28no—
1681D4—48no—
1682D4—48no—
1683D4—416no—
1684D4—48no—
1685D4—44no—
1686D4—44no—
1687D4—44no—
1688D4—44no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696D4—84no—
1697D4—84no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—164no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—28no—
1710C2×C4—28no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—24no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—24no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—24no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—44no—
1788C2×C4—82no—
1789C2×C4—84no—
1790C2×C4—84no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4—88no—
1794C2×C4—84no—
1795C2×C4—84no—
1796C2×C4—88no—
1797C2×C4—88no—
1798C2×C4—88no—
1799C2×C4—164no—
1800C2×C4—164no—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4C2×H(5,𝔽2)12yes—
1805C2×C4C2×H(5,𝔽2)12yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×2−1+412yes—
1809C2×C4C2×2−1+412yes—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—24no—
1817C22—24no—
1818C22—24no—
1819C22—24no—
1820C22—24no—
1821C22—24no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—41no—
1837C22—42no—
1838C22—41no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—41no—
1846C22—41no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—816no—
1859C22—816no—
1860C22#354714yes—
1861C22C22×H(5,𝔽2)11yescharacteristic
1862C22C22×H(5,𝔽2)11yescharacteristic
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22C22×H(5,𝔽2)11yescharacteristic
1865C22C22×2−1+411yescharacteristic
1866C22C2×#58511yescharacteristic
1867C222−1+611yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—41no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—41no—
1878C4—44no—
1879C4—42no—
1880C4—42no—
1881C4—41no—
1882C4—44no—
1883C4—44no—
1884C4—42no—
1885C4—41no—
1886C4—42no—
1887C4—44no—
1888C4—42no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—42no—
1894C4#353614yes—
1895C4#353714yes—
1896C2—24no—
1897C2—44no—
1898C2—44no—
1899C2—81no—
1900C2—82no—
1901C2—82no—
1902C2—82no—
1903C2C2×#353611yescharacteristic
1904C2C2×#353711yescharacteristic
1905C2C2×#354711yescharacteristic
1906C2#6291411yescharacteristic
1907C2#6291511yescharacteristic
1908C2#6292711yescharacteristic
1909C2#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. #59654C2semidirect
2. #59305C2semidirect
3. #59213C2semidirect
4. #59013C2semidirect
5. #58996C2semidirect
6. #55039C2semidirect
7. #54930C2semidirect
8. #53101C2semidirect
9. #53014C2semidirect
10. #52970C2semidirect
11. #52962C2semidirect
12. #52394C2semidirect
13. #42984C2semidirect
14. #42601C2semidirect
15. #42591C2semidirect
16. #42445C2semidirect
17. #40644C2semidirect
18. #39378C2semidirect
19. #39340C2semidirect
20. #39193C2semidirect
21. #39124C2semidirect
22. #38938C2semidirect
23. #38928C2semidirect
24. #37662C2semidirect
25. #37648C2semidirect
26. #37627C2semidirect
27. #37621C2semidirect
28. #37477C2semidirect
29. #37442C2semidirect
30. #36189C2semidirect
31. #36153C2semidirect
32. D4×C22⋊Q8C2semidirect
33. C2×#2537C2semidirect
34. #34700C2semidirect
35. #34681C2semidirect
36. C2×#553C22semidirect
37. C2×D4×Q8C22semidirect
38. C2×#548C22semidirect
39. C2×#547C22semidirect
41. C2×#540C22semidirect
42. C2×#537C22semidirect
43. C2×#532C22semidirect
44. C2×#529C22semidirect
51. #2859C22semidirect
53. #2857C22semidirect
56. #2841C22semidirect
57. #2841C22semidirect
58. #2837C22semidirect
59. #2830C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2827C22semidirect
63. #2826C22semidirect
64. #2824C22semidirect
65. #2816C22semidirect
66. #2814C22semidirect
67. #2814C22semidirect
68. #2813C22semidirect
69. #2813C22semidirect
70. #2790C22semidirect
71. #2784C22semidirect
72. #2781C22semidirect
73. #2779C22semidirect
74. #2770C22semidirect
75. #2768C22semidirect
76. #2761C22semidirect
77. #2757C22semidirect
78. #2756C22semidirect
79. #2750C22semidirect
80. #2743C22semidirect
81. #2737C22semidirect
82. #2723C22semidirect
83. #2708C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2701C22semidirect
87. #2701C22semidirect
88. #2699C22semidirect
89. #2696C22semidirect
90. #2695C22semidirect
91. #2691C22semidirect
92. #2691C22semidirect
93. #2688C22semidirect
94. #2686C22semidirect
95. #2686C22semidirect
96. #2682C22semidirect
97. #2681C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
100. #2676C22semidirect
101. #2675C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2662C22semidirect
109. #2659C22semidirect
110. #2651C22semidirect
112. #2646C22semidirect
114. #2638C22semidirect
115. #2630C22semidirect
116. #2629C22semidirect
117. #2629C22semidirect
118. #2628C22semidirect
119. #2628C22semidirect
120. #2627C22semidirect
121. #2625C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
126. #2618C22semidirect
127. #2616C22semidirect
128. #2616C22semidirect
129. #2615C22semidirect
131. #2570C22semidirect
132. #2566C22semidirect
133. #2563C22semidirect
134. #2562C22semidirect
135. #2552C22semidirect
136. #2547C22semidirect
137. #2543C22semidirect
138. #2542C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2537C22semidirect
155. #2536C22semidirect
156. #2535C22semidirect
157. #2511C22semidirect
158. #2507C22semidirect
159. #2507C22semidirect
160. #2504C22semidirect
161. #2502C22semidirect
162. #2497C22semidirect
163. #2497C22semidirect
164. #2497C22semidirect
165. #2496C22semidirect
166. #2495C22semidirect
167. #2495C22semidirect
168. #2491C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2489C22semidirect
173. #2486C22semidirect
174. #2486C22semidirect
175. #2486C22semidirect
176. #2486C22semidirect
177. #2485C22semidirect
182. #2468C22semidirect
183. #2468C22semidirect
184. #2464C22semidirect
185. #2461C22semidirect
186. #2461C22semidirect
187. #2457C22semidirect
188. #2454C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2449C22semidirect
192. #2447C22semidirect
193. #2445C22semidirect
194. #2444C22semidirect
195. #2443C22semidirect
199. #2442C22semidirect
200. #2442C22semidirect
201. #2441C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
209. #2436C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2427C22semidirect
216. #2427C22semidirect
217. #2427C22semidirect
218. #2426C22semidirect
219. #2425C22semidirect
222. #2423C22semidirect
223. #2423C22semidirect
224. #2422C22semidirect
225. #2420C22semidirect
226. #2420C22semidirect
227. #2420C22semidirect
228. #2420C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2395C22semidirect
259. #2392C22semidirect
260. #2392C22semidirect
261. #2388C22semidirect
264. #2361C22semidirect
265. #2361C22semidirect
267. #2355C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
275. #2339C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
283. C4×#124C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596542
#593052
#592132
#590132
#589962
#550392
#549302
#531012
#530142
#529702
#529622
#523942
#429842
#426012
#425912
#424452
#406442
#393782
#393402
#391932
#391242
#389382
#389282
#376622
#376482
#376272
#376212
#374772
#374422
#361892
#361532
D4×C22⋊Q82
C2×#25372
#347002
#346812