Finite Group Databasebeta

← #8459186

Subgroups — #8459186

Order 512.

5808 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59080C211yesmaximal, characteristic, complemented
4#57569C214yesmaximal, complemented
5#56397C214yesmaximal, complemented
6#54858C214yesmaximal, complemented
7#53108C212yesmaximal, complemented
8#52981C212yesmaximal, complemented
9#48341C214yesmaximal, complemented
10#46044C212yesmaximal, complemented
11#45608C212yesmaximal, complemented
12#45422C212yesmaximal, complemented
13#44876C212yesmaximal, complemented
14#42950C212yesmaximal, complemented
15#42486C212yesmaximal, complemented
16#42478C212yesmaximal, complemented
17#42425C212yesmaximal, complemented
18#40141C212yesmaximal, complemented
19#39771C211yesmaximal, characteristic, complemented
20#39743C212yesmaximal, complemented
21#39606C211yesmaximal, characteristic, complemented
22#39416C212yesmaximal, complemented
23#39352C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#38079C212yesmaximal, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37348C212yesmaximal, complemented
28#37334C212yesmaximal, complemented
29#36465C211yesmaximal, characteristic, complemented
30#36274C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic, complemented
34#34941C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yescomplemented
40C2×#548C2212yescomplemented
41C2×#548C2212yescomplemented
42C2×#547C2212yescomplemented
43C2×#546C2212yes—
44C2×#546C2212yes—
45C2×#540C2212yescomplemented
46C2×#535C2212yes—
47C2×#532C2211yescharacteristic
48C22×#127C2211yescharacteristic
49C2×#529C2211yescharacteristic, complemented
50C2×C4×#41C2211yescharacteristic
51#2861C2212yescomplemented
52#2860C2212yescomplemented
53#2858C2211yescharacteristic
54#2858C2212yescomplemented
55#2857C2211yescharacteristic
56#2856C2211yescharacteristic
57#2856C2212yes—
58#2856C2212yes—
59#2855C2212yescomplemented
60#2842C2214yes—
61#2837C2214yescomplemented
62#2829C2214yescomplemented
63#2829C2214yescomplemented
64#2816C2214yescomplemented
65#2814C2214yescomplemented
66#2813C2214yescomplemented
67#2813C2214yescomplemented
68#2803C2214yescomplemented
69#2796C2214yescomplemented
70#2780C2214yescomplemented
71#2768C2214yescomplemented
72#2751C2214yescomplemented
73#2748C2214yes—
74#2748C2214yescomplemented
75#2740C2214yescomplemented
76#2733C2214yescomplemented
77#2732C2214yescomplemented
78#2730C2214yescomplemented
79#2730C2214yescomplemented
80#2714C2214yescomplemented
81#2711C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2710C2214yescomplemented
85#2706C2214yescomplemented
86#2706C2214yescomplemented
87#2706C2214yescomplemented
88#2705C2214yescomplemented
89#2701C2214yescomplemented
90#2699C2214yescomplemented
91#2699C2214yescomplemented
92#2697C2214yes—
93#2692C2214yescomplemented
94#2692C2214yescomplemented
95#2691C2214yescomplemented
96#2691C2214yescomplemented
97#2688C2214yescomplemented
98#2686C2214yescomplemented
99#2685C2214yes—
100#2684C2214yes—
101#2682C2214yescomplemented
102#2678C2214yes—
103#2678C2214yes—
104#2678C2214yes—
105#2676C2214yescomplemented
106#2675C2214yescomplemented
107#2675C2214yescomplemented
108#2673C2214yes—
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2671C2214yescomplemented
115#2670C2214yes—
116#2668C2214yes—
117#2656C2214yescomplemented
118#2651C2214yescomplemented
119#2640C2212yescomplemented
120#2636C2214yescomplemented
121#2630C2214yescomplemented
122#2629C2212yes—
123#2626C2214yes—
124#2626C2214yes—
125#2624C2212yescomplemented
126#2624C2212yescomplemented
127#2620C2212yescomplemented
128#2620C2212yescomplemented
129#2620C2212yescomplemented
130#2619C2214yes—
131#2619C2212yescomplemented
132#2615C2214yescomplemented
133#2592C2212yescomplemented
134#2582C2211yescharacteristic, complemented
135#2580C2212yescomplemented
136#2574C2212yes—
137#2574C2212yescomplemented
138#2568C2211yescharacteristic, complemented
139#2567C2211yescharacteristic, complemented
140#2566C2212yescomplemented
141#2563C2211yescharacteristic
142#2552C2211yescharacteristic, complemented
143#2552C2211yescharacteristic, complemented
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2212yes—
148#2544C2212yes—
149#2544C2212yescomplemented
150#2544C2212yescomplemented
151#2543C2214yescomplemented
152#2543C2214yescomplemented
153#2542C2212yescomplemented
154#2542C2211yescharacteristic, complemented
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2541C2211yescharacteristic
158#2541C2212yes—
159#2541C2212yes—
160#2541C2212yescomplemented
161#2540C2212yescomplemented
162#2540C2214yescomplemented
163#2540C2214yescomplemented
164#2540C2212yescomplemented
165#2538C2211yescharacteristic
166#2538C2212yes—
167#2538C2212yescomplemented
168#2537C2212yescomplemented
169#2537C2212yescomplemented
170#2534C2214yes—
171#2513C2212yescomplemented
172#2512C2212yescomplemented
173#2508C2212yescomplemented
174#2507C2212yescomplemented
175#2502C2212yescomplemented
176#2501C2212yescomplemented
177#2497C2211yescharacteristic
178#2497C2211yescharacteristic, complemented
179#2491C2212yescomplemented
180#2479C2212yescomplemented
181#2471C2212yescomplemented
182#2468C2214yescomplemented
183#2467C2212yes—
184#2463C2214yescomplemented
185#2456C2212yes—
186#2455C2214yescomplemented
187#2454C2212yes—
188#2454C2212yescomplemented
189#2454C2211yescharacteristic, complemented
190#2454C2212yescomplemented
191#2454C2212yescomplemented
192#2454C2212yescomplemented
193#2452C2212yescomplemented
194#2451C2212yescomplemented
195#2450C2214yes—
196#2448C2212yescomplemented
197#2448C2212yescomplemented
198#2448C2211yescharacteristic, complemented
199#2447C2212yescomplemented
200#2447C2212yescomplemented
201#2447C2212yescomplemented
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2445C2212yescomplemented
208#2441C2211yescharacteristic
209#2439C2212yes—
210#2438C2214yescomplemented
211#2437C2214yes—
212#2436C2212yescomplemented
213#2435C2212yes—
214#2433C2212yes—
215#2431C2212yes—
216#2431C2212yes—
217#2431C2211yescharacteristic
218#2430C2214yescomplemented
219#2430C2214yescomplemented
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2211yescharacteristic, complemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2427C2212yescomplemented
227#2426C2212yescomplemented
228#2425C2214yescomplemented
229#2425C2214yescomplemented
230#2424C2214yes—
231#2424C2214yes—
232#2423C2211yescharacteristic
233#2423C2211yescharacteristic, complemented
234#2423C2212yescomplemented
235#2423C2211yescharacteristic, complemented
236#2422C2212yescomplemented
237#2417C2212yes—
238#2417C2212yes—
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2414C2211yescharacteristic
244#2410C2214yes—
245#2409C2212yes—
246#2408C2212yes—
247#2408C2212yes—
248#2408C2214yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2211yescharacteristic
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2214yescomplemented
258#2404C2214yes—
259#2397C2212yes—
260#2396C2212yes—
261#2396C2212yescomplemented
262#2392C2212yes—
263#2377C2214yescomplemented
264#2366C2211yescharacteristic
265#2366C2212yescomplemented
266#2365C2211yescharacteristic, complemented
267#2349C2212yescomplemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269D4×C4⋊C4C2211yescharacteristic, complemented
270#2339C2212yes—
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2326C2212yescomplemented
275#2326C2212yescomplemented
276#2325C2214yescomplemented
277#2324C2212yes—
278#2319C2212yescomplemented
279#2311C2212yescomplemented
280#2309C2212yes—
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic, complemented
284C4×#127C2212yescomplemented
285C4×#125C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291#2295C2211yescharacteristic, complemented
292C2×#391C2212yescomplemented
293#2293C2212yes—
294#2290C2212yescomplemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303C23×Q8C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#550—44no—
308#550—48no—
309D4×Q8—44no—
310#548—48no—
311#548—48no—
312#548—48no—
313#547—48no—
314#546—48no—
315#546—48no—
316#540—48no—
317#535—48no—
318#532—44no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×#127—44no—
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333#529—44no—
334C2×#126C2312yes—
335C2×#126C2314yes—
336C2×#125C2312yes—
337C2×#125C2311yescharacteristic
338C2×#125C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2311yescharacteristic
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C4×#41—44no—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454#400C2314yes—
455#400C2312yes—
456#400C2312yes—
457#399C2312yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2312yes—
465#399C2312yes—
466#399C2314yes—
467#399C2314yes—
468#399C2312yes—
469#399C2312yes—
470#399C2312yes—
471#399C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2312yes—
483#398C2312yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2312yes—
514#395C2312yes—
515#395C2312yes—
516#395C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#393C2312yes—
552#393C2314yes—
553#393C2312yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#392C2312yes—
572#392C2312yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#391C2312yes—
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2311yescharacteristic
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2314yes—
593#391C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2314yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2312yes—
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#382C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2314yes—
783#380C2311yescharacteristic
784#380C2314yes—
785#380C2311yescharacteristic
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820#376C2312yes—
821C2×#95C2314yes—
822C2×#95C2314yes—
823C43C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—48no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—48no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—84no—
838C22×Q8—28no—
839C22×Q8—44no—
840C22×Q8—44no—
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×Q8C2411yescharacteristic
844C22×Q8C2412yes—
845C22×Q8C2414yes—
846C22×D4—28no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—82no—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C4⋊Q8—24no—
901C4⋊Q8—24no—
902C4⋊Q8—44no—
903#127—28no—
904#127—28no—
905#127—24no—
906#127—24no—
907#127—24no—
908#127—44no—
909#127—44no—
910#127—44no—
911#127—44no—
912#127—44no—
913#126—44no—
914#126—84no—
915#125—42no—
916#125—44no—
917#125—44no—
918#124—28no—
919#124—28no—
920#124—48no—
921#124—42no—
922#124—44no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—48no—
927#124—48no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—44no—
933#123—48no—
934#123—48no—
935#123—84no—
936C22⋊Q8—24no—
937C22⋊Q8—24no—
938C22⋊Q8—48no—
939C22⋊Q8—48no—
940C22⋊Q8—48no—
941C22⋊Q8—42no—
942C22⋊Q8—44no—
943C22⋊Q8—48no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—48no—
947C22⋊Q8—44no—
948#121—24no—
949#121—24no—
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—42no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—48no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—48no—
976#121—48no—
977#121—48no—
978#121—84no—
979#121—84no—
980#121—82no—
981#120—48no—
982#120—48no—
983#120—48no—
984#120—48no—
985#120—84no—
986C4×Q8—24no—
987C4×Q8—24no—
988C4×Q8—24no—
989C4×Q8—24no—
990C4×Q8—44no—
991C4×Q8—42no—
992C4×Q8—44no—
993C4×D4—28no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—48no—
1001C4×D4—42no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—48no—
1016C4×D4—42no—
1017C4×D4—44no—
1018C4×D4—48no—
1019C4×D4—82no—
1020#117—44no—
1021#117—44no—
1022#117—44no—
1023#117—44no—
1024#117—42no—
1025C2×C4⋊C4—44no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C22⋊C4—48no—
1090C2×C22⋊C4—48no—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C42—24no—
1166C2×C42—24no—
1167C2×C42—44no—
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2414yes—
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—28no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24C2514yes—
1252C24C2514yes—
1253C24C2511yescharacteristic
1254C24C2512yes—
1255C24C2512yes—
1256C24C2511yescharacteristic
1257#41—416no—
1258#41—816no—
1259#41—816no—
1260#41—832no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—22no—
1269C2×Q8—28no—
1270C2×Q8—22no—
1271C2×Q8—42no—
1272C2×Q8—42no—
1273C2×Q8—44no—
1274C2×Q8—44no—
1275C2×Q8—816no—
1276C2×Q8H(5,𝔽2)14yes—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—22no—
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—28no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—28no—
1311C2×D4—28no—
1312C2×D4—42no—
1313C2×D4—41no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—816no—
1361C2×D4—816no—
1362C2×D4—816no—
1363C2×D4H(5,𝔽2)14yes—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—28no—
1388C22×C4—28no—
1389C22×C4—28no—
1390C22×C4—24no—
1391C22×C4—42no—
1392C22×C4—41no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—41no—
1406C22×C4—44no—
1407C22×C4—41no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C42−1+414yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2514yes—
1428C22×C4C2514yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C22⋊C4—28no—
1507C22⋊C4—24no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—22no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—22no—
1523C22⋊C4—24no—
1524C22⋊C4—22no—
1525C22⋊C4—24no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—41no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—24no—
1587C42—24no—
1588C42—24no—
1589C42—24no—
1590C42—24no—
1591C42—24no—
1592C42—24no—
1593C42—22no—
1594C42—24no—
1595C42—22no—
1596C42—22no—
1597C42—42no—
1598C42—42no—
1599C42—41no—
1600C42—44no—
1601C42—41no—
1602C42—42no—
1603C42—42no—
1604C42H(5,𝔽2)14yes—
1605C42H(5,𝔽2)14yes—
1606C23—21no—
1607C23—21no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—21no—
1619C23—24no—
1620C23—24no—
1621C23—22no—
1622C23—22no—
1623C23—24no—
1624C23—21no—
1625C23—24no—
1626C23—21no—
1627C23—22no—
1628C23—24no—
1629C23—24no—
1630C23—21no—
1631C23—22no—
1632C23—24no—
1633C23—24no—
1634C23—21no—
1635C23—22no—
1636C23—24no—
1637C23—24no—
1638C23—21no—
1639C23—22no—
1640C23—24no—
1641C23—24no—
1642C23—24no—
1643C23—24no—
1644C23—21no—
1645C23—22no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23—164no—
1652C23—164no—
1653C23C2×H(5,𝔽2)14yes—
1654C23C2×2−1+412yes—
1655C23C2611yescharacteristic
1656Q8—28no—
1657Q8—48no—
1658Q8—44no—
1659Q8—48no—
1660Q8—88no—
1661D4—28no—
1662D4—44no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—44no—
1667D4—48no—
1668D4—48no—
1669D4—48no—
1670D4—48no—
1671D4—88no—
1672D4—88no—
1673D4—84no—
1674D4—88no—
1675D4—84no—
1676D4—88no—
1677D4—84no—
1678D4—88no—
1679D4—88no—
1680D4—84no—
1681D4—88no—
1682D4—84no—
1683D4—88no—
1684D4—88no—
1685D4—88no—
1686D4—164no—
1687D4—164no—
1688D4—164no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—28no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—44no—
1772C2×C4—84no—
1773C2×C4—82no—
1774C2×C4—88no—
1775C2×C4—88no—
1776C2×C4—88no—
1777C2×C4—88no—
1778C2×C4—88no—
1779C2×C4—88no—
1780C2×C4—164no—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)14yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4C2×H(5,𝔽2)12yes—
1787C2×C4C2×H(5,𝔽2)12yes—
1788C2×C4C2×H(5,𝔽2)12yes—
1789C2×C4C2×H(5,𝔽2)12yes—
1790C2×C4C2×2−1+412yes—
1791C2×C4C2×2−1+412yes—
1792C2×C4#58512yes—
1793C22—22no—
1794C22—24no—
1795C22—24no—
1796C22—22no—
1797C22—24no—
1798C22—22no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—44no—
1809C22—44no—
1810C22—42no—
1811C22—41no—
1812C22—42no—
1813C22—44no—
1814C22—44no—
1815C22—44no—
1816C22—41no—
1817C22—42no—
1818C22—44no—
1819C22—41no—
1820C22—42no—
1821C22—44no—
1822C22—44no—
1823C22—42no—
1824C22—44no—
1825C22—44no—
1826C22—41no—
1827C22—42no—
1828C22—41no—
1829C22—44no—
1830C22—44no—
1831C22—41no—
1832C22—44no—
1833C22—44no—
1834C22—42no—
1835C22—1616no—
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C22×H(5,𝔽2)11yescharacteristic
1839C22C22×H(5,𝔽2)11yescharacteristic
1840C22C22×2−1+411yescharacteristic
1841C22C2×#58511yescharacteristic
1842C22H(7,𝔽2)11yescharacteristic
1843C4—22no—
1844C4—24no—
1845C4—22no—
1846C4—22no—
1847C4—22no—
1848C4—22no—
1849C4—41no—
1850C4—42no—
1851C4—42no—
1852C4—41no—
1853C4—41no—
1854C4—42no—
1855C4—44no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—44no—
1862C4—42no—
1863C4—42no—
1864C4—42no—
1865C4—41no—
1866C4—42no—
1867C4—41no—
1868C4—42no—
1869C4—42no—
1870C4#353614yes—
1871C4#354314yes—
1872C2—44no—
1873C2—42no—
1874C2—81no—
1875C2—82no—
1876C2—84no—
1877C2—84no—
1878C2C2×#353611yescharacteristic
1879C2C2×#354311yescharacteristic
1880C2#6283511yescharacteristic
1881C2#6291211yescharacteristic
1882C2#6291711yescharacteristic
1883C2#6292411yescharacteristic
1884C2#6301411yescharacteristic
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. #59815C2semidirect
2. #59124C2semidirect
3. #59080C2semidirect
4. #57569C2semidirect
5. #56397C2semidirect
6. #54858C2semidirect
7. #53108C2semidirect
8. #52981C2semidirect
9. #48341C2semidirect
10. #46044C2semidirect
11. #45608C2semidirect
12. #45422C2semidirect
13. #44876C2semidirect
14. #42950C2semidirect
15. #42486C2semidirect
16. #42478C2semidirect
17. #42425C2semidirect
18. #40141C2semidirect
19. #39771C2semidirect
20. #39743C2semidirect
21. #39606C2semidirect
22. #39416C2semidirect
23. #39352C2semidirect
24. #38909C2semidirect
25. #38079C2semidirect
26. #37616C2semidirect
27. #37348C2semidirect
28. #37334C2semidirect
29. #36465C2semidirect
30. #36274C2semidirect
31. #36121C2semidirect
32. #35272C2semidirect
33. #35186C2semidirect
34. #34941C2semidirect
35. #34727C2semidirect
37. C2×#550C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
40. C2×#548C22semidirect
41. C2×#548C22semidirect
42. C2×#547C22semidirect
45. C2×#540C22semidirect
49. C2×#529C22semidirect
51. #2861C22semidirect
52. #2860C22semidirect
54. #2858C22semidirect
59. #2855C22semidirect
61. #2837C22semidirect
62. #2829C22semidirect
63. #2829C22semidirect
64. #2816C22semidirect
65. #2814C22semidirect
66. #2813C22semidirect
67. #2813C22semidirect
68. #2803C22semidirect
69. #2796C22semidirect
70. #2780C22semidirect
71. #2768C22semidirect
72. #2751C22semidirect
74. #2748C22semidirect
75. #2740C22semidirect
76. #2733C22semidirect
77. #2732C22semidirect
78. #2730C22semidirect
79. #2730C22semidirect
80. #2714C22semidirect
81. #2711C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2710C22semidirect
85. #2706C22semidirect
86. #2706C22semidirect
87. #2706C22semidirect
88. #2705C22semidirect
89. #2701C22semidirect
90. #2699C22semidirect
91. #2699C22semidirect
93. #2692C22semidirect
94. #2692C22semidirect
95. #2691C22semidirect
96. #2691C22semidirect
97. #2688C22semidirect
98. #2686C22semidirect
101. #2682C22semidirect
105. #2676C22semidirect
106. #2675C22semidirect
107. #2675C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2671C22semidirect
117. #2656C22semidirect
118. #2651C22semidirect
119. #2640C22semidirect
120. #2636C22semidirect
121. #2630C22semidirect
125. #2624C22semidirect
126. #2624C22semidirect
127. #2620C22semidirect
128. #2620C22semidirect
129. #2620C22semidirect
131. #2619C22semidirect
132. #2615C22semidirect
133. #2592C22semidirect
134. #2582C22semidirect
135. #2580C22semidirect
137. #2574C22semidirect
138. #2568C22semidirect
139. #2567C22semidirect
140. #2566C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
149. #2544C22semidirect
150. #2544C22semidirect
151. #2543C22semidirect
152. #2543C22semidirect
153. #2542C22semidirect
154. #2542C22semidirect
160. #2541C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
163. #2540C22semidirect
164. #2540C22semidirect
167. #2538C22semidirect
168. #2537C22semidirect
169. #2537C22semidirect
171. #2513C22semidirect
172. #2512C22semidirect
173. #2508C22semidirect
174. #2507C22semidirect
175. #2502C22semidirect
176. #2501C22semidirect
178. #2497C22semidirect
179. #2491C22semidirect
180. #2479C22semidirect
181. #2471C22semidirect
182. #2468C22semidirect
184. #2463C22semidirect
186. #2455C22semidirect
188. #2454C22semidirect
189. #2454C22semidirect
190. #2454C22semidirect
191. #2454C22semidirect
192. #2454C22semidirect
193. #2452C22semidirect
194. #2451C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2445C22semidirect
210. #2438C22semidirect
212. #2436C22semidirect
218. #2430C22semidirect
219. #2430C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2427C22semidirect
227. #2426C22semidirect
228. #2425C22semidirect
229. #2425C22semidirect
233. #2423C22semidirect
234. #2423C22semidirect
235. #2423C22semidirect
236. #2422C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
261. #2396C22semidirect
263. #2377C22semidirect
265. #2366C22semidirect
266. #2365C22semidirect
267. #2349C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
274. #2326C22semidirect
275. #2326C22semidirect
276. #2325C22semidirect
278. #2319C22semidirect
279. #2311C22semidirect
281. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×#125C22semidirect
287. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2295C22semidirect
292. C2×#391C22semidirect
294. #2290C22semidirect
296. #2285C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#591242
#590802
#575692
#563972
#548582
#531082
#529812
#483412
#460442
#456082
#454222
#448762
#429502
#424862
#424782
#424252
#401412
#397712
#397432
#396062
#394162
#393522
#389092
#380792
#376162
#373482
#373342
#364652
#362742
#361212
#352722
#351862
#349412
#347272