Finite Group Databasebeta

← #7686121

Subgroups — #7686121

Order 512.

5756 conjugacy classes of subgroups.

The subgroup lattice has 1793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59581C212yesmaximal, complemented
3#59466C212yesmaximal, complemented
4#59385C214yesmaximal, complemented
5#59321C211yesmaximal, characteristic, complemented
6#59214C211yesmaximal, characteristic, complemented
7#59062C212yesmaximal, complemented
8#59022C212yesmaximal, complemented
9#44976C212yesmaximal, complemented
10#44918C212yesmaximal, complemented
11#44215C214yesmaximal, complemented
12#43412C214yesmaximal, complemented
13#40177C212yesmaximal, complemented
14#40057C212yesmaximal, complemented
15#38966C211yesmaximal, characteristic, complemented
16#38909C211yesmaximal, characteristic, complemented
17#38543C214yesmaximal, complemented
18#37851C212yesmaximal, complemented
19#36581C212yesmaximal, complemented
20#36555C211yesmaximal, characteristic, complemented
21#36529C212yesmaximal, complemented
22#36472C211yesmaximal, characteristic, complemented
23#36294C212yesmaximal, complemented
24#36182C211yesmaximal, characteristic, complemented
25#36117C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#35763C212yesmaximal, complemented
28#35725C212yesmaximal, complemented
29#34965C212yesmaximal, complemented
30#34700C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34200C212yesmaximal, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yescomplemented
38C2×#552C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2212yes—
42C2×#525C2212yes—
43C2×#520C2212yescomplemented
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2212yes—
46C23×C4⋊C4C2212yes—
47#2864C2212yescomplemented
48#2860C2212yescomplemented
49#2859C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic, complemented
52#2854C2212yes—
53#2847C2212yes—
54#2847C2214yes—
55#2797C2214yescomplemented
56#2791C2214yescomplemented
57#2790C2214yescomplemented
58#2786C2214yescomplemented
59#2782C2214yescomplemented
60#2780C2214yescomplemented
61#2768C2214yescomplemented
62#2757C2214yescomplemented
63#2753C2214yescomplemented
64#2748C2214yescomplemented
65#2748C2214yescomplemented
66#2743C2214yescomplemented
67#2741C2214yescomplemented
68#2740C2214yescomplemented
69#2722C2214yescomplemented
70#2718C2214yescomplemented
71#2711C2214yescomplemented
72#2705C2214yescomplemented
73#2694C2214yescomplemented
74#2691C2214yescomplemented
75#2671C2214yescomplemented
76#2649C2214yescomplemented
77#2630C2214yescomplemented
78#2629C2212yescomplemented
79#2624C2212yescomplemented
80#2603C2214yes—
81#2603C2214yes—
82#2603C2214yescomplemented
83#2600C2214yescomplemented
84#2597C2214yescomplemented
85#2596C2214yescomplemented
86#2591C2214yescomplemented
87#2587C2214yescomplemented
88#2587C2214yescomplemented
89#2582C2211yescharacteristic, complemented
90#2579C2214yescomplemented
91#2579C2214yescomplemented
92#2578C2214yescomplemented
93#2566C2212yes—
94#2566C2212yes—
95#2566C2212yescomplemented
96#2566C2214yescomplemented
97#2565C2212yescomplemented
98#2552C2211yescharacteristic, complemented
99#2552C2212yescomplemented
100#2552C2211yescharacteristic, complemented
101#2552C2212yescomplemented
102#2548C2211yescharacteristic, complemented
103#2544C2212yes—
104#2544C2212yes—
105#2541C2211yescharacteristic
106#2539C2214yes—
107#2538C2211yescharacteristic
108#2538C2212yescomplemented
109#2534C2214yes—
110#2530C2214yescomplemented
111#2529C2214yescomplemented
112#2522C2214yescomplemented
113#2513C2212yescomplemented
114#2512C2212yescomplemented
115#2512C2212yescomplemented
116#2512C2212yescomplemented
117#2511C2212yescomplemented
118#2509C2212yescomplemented
119#2508C2212yescomplemented
120#2506C2212yescomplemented
121#2504C2212yes—
122#2504C2212yescomplemented
123#2502C2212yes—
124#2501C2212yes—
125#2500C2212yescomplemented
126#2498C2214yes—
127#2497C2212yescomplemented
128#2497C2212yescomplemented
129#2490C2212yescomplemented
130#2490C2212yescomplemented
131#2487C2212yescomplemented
132#2481C2214yes—
133#2481C2214yescomplemented
134#2480C2212yes—
135#2479C2214yescomplemented
136#2478C2214yescomplemented
137#2478C2214yescomplemented
138#2476C2214yescomplemented
139#2473C2214yes—
140#2468C2212yes—
141#2467C2214yes—
142#2467C2214yes—
143#2467C2214yescomplemented
144#2466C2214yescomplemented
145#2464C2214yescomplemented
146#2460C2214yescomplemented
147#2457C2212yes—
148#2456C2214yes—
149#2456C2214yes—
150#2456C2214yes—
151#2454C2212yes—
152#2454C2211yescharacteristic
153#2454C2212yes—
154#2454C2212yescomplemented
155#2454C2214yescomplemented
156#2454C2214yescomplemented
157#2454C2212yescomplemented
158#2453C2212yescomplemented
159#2448C2212yescomplemented
160#2447C2211yescharacteristic
161#2447C2212yescomplemented
162#2445C2212yes—
163#2443C2214yes—
164#2443C2214yescomplemented
165#2442C2211yescharacteristic
166#2442C2212yes—
167#2442C2212yescomplemented
168#2441C2212yescomplemented
169#2441C2212yescomplemented
170#2435C2211yescharacteristic
171#2433C2212yes—
172#2428C2212yes—
173#2428C2212yes—
174#2427C2211yescharacteristic
175#2427C2212yescomplemented
176#2425C2214yes—
177#2425C2214yes—
178#2424C2214yes—
179#2423C2212yescomplemented
180#2422C2212yescomplemented
181#2422C2212yescomplemented
182#2422C2212yescomplemented
183#2420C2211yescharacteristic
184#2420C2212yescomplemented
185#2419C2214yes—
186#2418C2212yes—
187#2417C2211yescharacteristic
188#2416C2212yes—
189#2416C2212yes—
190#2416C2212yescomplemented
191#2414C2212yes—
192#2414C2212yescomplemented
193#2413C2214yescomplemented
194#2411C2214yes—
195#2411C2214yes—
196#2408C2211yescharacteristic
197#2407C2212yes—
198#2407C2212yescomplemented
199#2395C2212yes—
200#2392C2212yes—
201#2392C2214yes—
202#2392C2214yes—
203#2373C2212yescomplemented
204#2373C2214yescomplemented
205#2371C2212yescomplemented
206#2370C2211yescharacteristic, complemented
207#2366C2212yes—
208#2366C2212yes—
209#2366C2212yes—
210#2366C2211yescharacteristic, complemented
211#2363C2212yes—
212#2363C2212yes—
213#2362C2211yescharacteristic, complemented
214#2362C2212yescomplemented
215#2361C2212yes—
216#2361C2212yes—
217#2361C2212yes—
218#2361C2212yes—
219#2361C2212yescomplemented
220#2361C2214yescomplemented
221#2361C2212yescomplemented
222#2361C2212yescomplemented
223#2360C2211yescharacteristic
224#2360C2212yes—
225#2360C2212yescomplemented
226#2360C2212yescomplemented
227#2359C2212yes—
228#2359C2214yes—
229#2356C2211yescharacteristic, complemented
230#2355C2211yescharacteristic, complemented
231#2354C2211yescharacteristic
232#2354C2212yescomplemented
233#2354C2212yescomplemented
234#2352C2211yescharacteristic
235#2352C2214yes—
236#2352C2214yescomplemented
237#2352C2212yescomplemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239Q8×C4⋊C4C2211yescharacteristic, complemented
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2214yes—
249D4×C4⋊C4C2214yes—
250D4×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2214yescomplemented
252#2346C2211yescharacteristic, complemented
253#2345C2212yes—
254#2345C2212yescomplemented
255#2344C2211yescharacteristic
256#2343C2212yes—
257#2341C2212yescomplemented
258#2335C2214yescomplemented
259#2324C2214yescomplemented
260#2324C2212yescomplemented
261#2322C2214yescomplemented
262#2322C2214yescomplemented
263#2317C2212yescomplemented
264#2314C2212yescomplemented
265#2311C2212yescomplemented
266C4×#127C2212yes—
267C4×#127C2212yes—
268C4×#127C2211yescharacteristic, complemented
269C4×#125C2211yescharacteristic, complemented
270C4×#125C2212yescomplemented
271C4×#125C2212yescomplemented
272C4×#126C2212yescomplemented
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×#124C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281C4×#120C2212yes—
282C4×#120C2214yes—
283C4×#120C2214yes—
284C4×#120C2214yes—
285#2293C2211yescharacteristic
286#2293C2212yescomplemented
287C2×#389C2212yes—
288C2×#385C2214yes—
289#2285C2211yescharacteristic, complemented
290C2×#384C2211yescharacteristic
291#2280C2212yes—
292C2×#380C2212yes—
293#2274C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302C24×C4C2314yes—
303#553—48no—
304#553—48no—
305#552—28no—
306#550—28no—
307C2×#127C2312yes—
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310#529—28no—
311#529—48no—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327#525—216no—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#120C2314yes—
356C2×#120C2312yes—
357C2×#120C2314yes—
358#520—48no—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×D4—28no—
366C2×C4×D4—48no—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2314yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2312yes—
410C22×C4⋊C4—48no—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2311yescharacteristic
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2314yes—
419C22×C4⋊C4C2314yes—
420C22×C4⋊C4C2314yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2314yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2314yes—
427C22×C42C2312yes—
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2312yes—
456#398C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2312yes—
507#392C2314yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2314yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2311yescharacteristic
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#383C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2311yescharacteristic
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#379C2312yes—
751#379C2312yes—
752#379C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C23×C4—28no—
846C23×C4—28no—
847C23×C4—44no—
848C23×C4—48no—
849C23×C4—48no—
850C23×C4—84no—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872#127—28no—
873#127—28no—
874#127—24no—
875#126—28no—
876#126—28no—
877#126—48no—
878#126—48no—
879#126—48no—
880#125—24no—
881#125—28no—
882#125—24no—
883#125—44no—
884#125—44no—
885#125—44no—
886#125—84no—
887#124—24no—
888#124—24no—
889#124—44no—
890#123—216no—
891#123—28no—
892#123—28no—
893#123—48no—
894#123—48no—
895#123—48no—
896#123—48no—
897C22⋊Q8—28no—
898C22⋊Q8—24no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8#4118yes—
902#121—24no—
903#121—24no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—216no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—48no—
915#121—82no—
916#121—84no—
917#120—216no—
918#120—48no—
919#120—44no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—216no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—216no—
937C4×D4—24no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—42no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—82no—
955C4×D4—84no—
956C4×D4—84no—
957C4×D4—84no—
958C4×D4#4118yes—
959#117—28no—
960#117—28no—
961#117—24no—
962#117—24no—
963#117—28no—
964#117—44no—
965#117—48no—
966#117—48no—
967#117—44no—
968#117—44no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—28no—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—48no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—48no—
979C2×C4⋊C4—48no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—48no—
982C2×C4⋊C4—82no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C22⋊C4—28no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C42—28no—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212C24—24no—
1213C24—24no—
1214C24—24no—
1215C24—24no—
1216C24—24no—
1217C24—42no—
1218C24—42no—
1219C24C2511yescharacteristic
1220C24C2514yes—
1221C24C2512yes—
1222C24C2512yes—
1223C24C2511yescharacteristic
1224#41—432no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8C2×#4114yes—
1231C2×D4—232no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—22no—
1236C2×D4—28no—
1237C2×D4—22no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—22no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—22no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4C2×#4114yes—
1276C2×D42−1+414yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—28no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—28no—
1310C22×C4—28no—
1311C22×C4—28no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—432no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—41no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—41no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—832no—
1339C22×C4C2×#4114yes—
1340C22×C4C2×#4118yes—
1341C22×C4H(5,𝔽2)14yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—28no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—28no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—41no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4C2×#4114yes—
1437C4⋊C4C2×#4114yes—
1438C4⋊C4C2×#4118yes—
1439C4⋊C4H(5,𝔽2)14yes—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—22no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—22no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—41no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4C2×#4118yes—
1501C22⋊C4C2×#4118yes—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—28no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—22no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—24no—
1525C42—42no—
1526C42—42no—
1527C42—44no—
1528C42—44no—
1529C42—44no—
1530C42—41no—
1531C42—42no—
1532C42—42no—
1533C42—41no—
1534C42—44no—
1535C42C2×#4114yes—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—216no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23—24no—
1556C23—24no—
1557C23—21no—
1558C23—24no—
1559C23—21no—
1560C23—24no—
1561C23—21no—
1562C23—24no—
1563C23—24no—
1564C23—21no—
1565C23—24no—
1566C23—21no—
1567C23—48no—
1568C23—48no—
1569C23—48no—
1570C23—48no—
1571C23—48no—
1572C23—48no—
1573C23C22×#4114yes—
1574C23C22×#4112yes—
1575C23C2×H(5,𝔽2)12yes—
1576C23C2×2−1+414yes—
1577C23#58512yes—
1578C23C2611yescharacteristic
1579Q8—28no—
1580Q8—44no—
1581D4—216no—
1582D4—28no—
1583D4—28no—
1584D4—416no—
1585D4—416no—
1586D4—416no—
1587D4—44no—
1588D4—48no—
1589D4—48no—
1590D4—84no—
1591D4—84no—
1592D4—88no—
1593D4—84no—
1594D4—88no—
1595D4—164no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—28no—
1611C2×C4—216no—
1612C2×C4—28no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—48no—
1677C2×C4—416no—
1678C2×C4—44no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—48no—
1685C2×C4—44no—
1686C2×C4—82no—
1687C2×C4—88no—
1688C2×C4—88no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4—164no—
1694C2×C4C22×#4114yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4114yes—
1697C2×C4C22×#4112yes—
1698C2×C4C22×#4114yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4112yes—
1701C2×C4C22×#4112yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)14yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×2−1+412yes—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—24no—
1714C22—24no—
1715C22—24no—
1716C22—24no—
1717C22—24no—
1718C22—24no—
1719C22—432no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—41no—
1730C22—41no—
1731C22—44no—
1732C22—41no—
1733C22—44no—
1734C22—41no—
1735C22—44no—
1736C22—41no—
1737C22—44no—
1738C22—44no—
1739C22—41no—
1740C22—44no—
1741C22—41no—
1742C22#351714yes—
1743C22C23×#4111yescharacteristic
1744C22C23×#4111yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C22×2−1+411yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22H(7,𝔽2)11yescharacteristic
1750C4—24no—
1751C4—22no—
1752C4—22no—
1753C4—24no—
1754C4—22no—
1755C4—24no—
1756C4—24no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—42no—
1761C4—42no—
1762C4—41no—
1763C4—42no—
1764C4—42no—
1765C4—41no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—44no—
1770C4—41no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—44no—
1775C4—41no—
1776C4—41no—
1777C4—42no—
1778C4#348114yes—
1779C4#349214yes—
1780C2—24no—
1781C2—44no—
1782C2—44no—
1783C2—84no—
1784C2—81no—
1785C2C2×#348111yescharacteristic
1786C2C2×#349211yescharacteristic
1787C2C2×#351711yescharacteristic
1788C2#6291211yescharacteristic
1789C2#6300011yescharacteristic
1790C2#6300811yescharacteristic
1791C2#6301511yescharacteristic
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. #59647C2semidirect
2. #59581C2semidirect
3. #59466C2semidirect
4. #59385C2semidirect
5. #59321C2semidirect
6. #59214C2semidirect
7. #59062C2semidirect
8. #59022C2semidirect
9. #44976C2semidirect
10. #44918C2semidirect
11. #44215C2semidirect
12. #43412C2semidirect
13. #40177C2semidirect
14. #40057C2semidirect
15. #38966C2semidirect
16. #38909C2semidirect
17. #38543C2semidirect
18. #37851C2semidirect
19. #36581C2semidirect
20. #36555C2semidirect
21. #36529C2semidirect
22. #36472C2semidirect
23. #36294C2semidirect
24. #36182C2semidirect
25. #36117C2semidirect
26. #36101C2semidirect
27. #35763C2semidirect
28. #35725C2semidirect
29. #34965C2semidirect
30. #34700C2semidirect
31. #34313C2semidirect
32. #34242C2semidirect
33. #34200C2semidirect
34. C4×#552C2semidirect
35. C2×D4×C4⋊C4C2semidirect
37. C2×#553C22semidirect
43. C2×#520C22semidirect
47. #2864C22semidirect
48. #2860C22semidirect
49. #2859C22semidirect
51. #2856C22semidirect
55. #2797C22semidirect
56. #2791C22semidirect
57. #2790C22semidirect
58. #2786C22semidirect
59. #2782C22semidirect
60. #2780C22semidirect
61. #2768C22semidirect
62. #2757C22semidirect
63. #2753C22semidirect
64. #2748C22semidirect
65. #2748C22semidirect
66. #2743C22semidirect
67. #2741C22semidirect
68. #2740C22semidirect
69. #2722C22semidirect
70. #2718C22semidirect
71. #2711C22semidirect
72. #2705C22semidirect
73. #2694C22semidirect
74. #2691C22semidirect
75. #2671C22semidirect
76. #2649C22semidirect
77. #2630C22semidirect
78. #2629C22semidirect
79. #2624C22semidirect
82. #2603C22semidirect
83. #2600C22semidirect
84. #2597C22semidirect
85. #2596C22semidirect
86. #2591C22semidirect
87. #2587C22semidirect
88. #2587C22semidirect
89. #2582C22semidirect
90. #2579C22semidirect
91. #2579C22semidirect
92. #2578C22semidirect
95. #2566C22semidirect
96. #2566C22semidirect
97. #2565C22semidirect
98. #2552C22semidirect
99. #2552C22semidirect
100. #2552C22semidirect
101. #2552C22semidirect
102. #2548C22semidirect
108. #2538C22semidirect
110. #2530C22semidirect
111. #2529C22semidirect
112. #2522C22semidirect
113. #2513C22semidirect
114. #2512C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2511C22semidirect
118. #2509C22semidirect
119. #2508C22semidirect
120. #2506C22semidirect
122. #2504C22semidirect
125. #2500C22semidirect
127. #2497C22semidirect
128. #2497C22semidirect
129. #2490C22semidirect
130. #2490C22semidirect
131. #2487C22semidirect
133. #2481C22semidirect
135. #2479C22semidirect
136. #2478C22semidirect
137. #2478C22semidirect
138. #2476C22semidirect
143. #2467C22semidirect
144. #2466C22semidirect
145. #2464C22semidirect
146. #2460C22semidirect
154. #2454C22semidirect
155. #2454C22semidirect
156. #2454C22semidirect
157. #2454C22semidirect
158. #2453C22semidirect
159. #2448C22semidirect
161. #2447C22semidirect
164. #2443C22semidirect
167. #2442C22semidirect
168. #2441C22semidirect
169. #2441C22semidirect
175. #2427C22semidirect
179. #2423C22semidirect
180. #2422C22semidirect
181. #2422C22semidirect
182. #2422C22semidirect
184. #2420C22semidirect
190. #2416C22semidirect
192. #2414C22semidirect
193. #2413C22semidirect
198. #2407C22semidirect
203. #2373C22semidirect
204. #2373C22semidirect
205. #2371C22semidirect
206. #2370C22semidirect
210. #2366C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2361C22semidirect
222. #2361C22semidirect
225. #2360C22semidirect
226. #2360C22semidirect
229. #2356C22semidirect
230. #2355C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. Q8×C4⋊C4C22semidirect
239. Q8×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. #2346C22semidirect
254. #2345C22semidirect
257. #2341C22semidirect
258. #2335C22semidirect
259. #2324C22semidirect
260. #2324C22semidirect
261. #2322C22semidirect
262. #2322C22semidirect
263. #2317C22semidirect
264. #2314C22semidirect
265. #2311C22semidirect
268. C4×#127C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×#126C22semidirect
278. C4×C22⋊Q8C22semidirect
286. #2293C22semidirect
289. #2285C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#595812
#594662
#593852
#593212
#592142
#590622
#590222
#449762
#449182
#442152
#434122
#401772
#400572
#389662
#389092
#385432
#378512
#365812
#365552
#365292
#364722
#362942
#361822
#361172
#361012
#357632
#357252
#349652
#347002
#343132
#342422
#342002
C4×#5522
C2×D4×C4⋊C42