Finite Group Databasebeta

← #8458719

Subgroups — #8458719

Order 512.

5439 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#59313C211yesmaximal, characteristic, complemented
3#59233C211yesmaximal, characteristic, complemented
4#57995C214yesmaximal, complemented
5#57255C214yesmaximal, complemented
6#55491C214yesmaximal, complemented
7#53098C212yesmaximal, complemented
8#52972C212yesmaximal, complemented
9#51132C214yesmaximal, complemented
10#45600C212yesmaximal, complemented
11#45498C212yesmaximal, complemented
12#44930C212yesmaximal, complemented
13#44916C212yesmaximal, complemented
14#42746C212yesmaximal, complemented
15#42746C212yesmaximal, complemented
16#42478C212yesmaximal, complemented
17#42421C212yesmaximal, complemented
18#39957C212yesmaximal, complemented
19#39605C212yesmaximal, complemented
20#39471C211yesmaximal, characteristic, complemented
21#39191C211yesmaximal, characteristic, complemented
22#38975C211yesmaximal, characteristic, complemented
23#38908C211yesmaximal, characteristic, complemented
24#38116C212yesmaximal, complemented
25#37839C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37346C212yesmaximal, complemented
28#37268C212yesmaximal, complemented
29#36404C211yesmaximal, characteristic, complemented
30#36189C211yesmaximal, characteristic, complemented
31#36153C211yesmaximal, characteristic, complemented
32#35273C211yesmaximal, characteristic, complemented
33#35236C211yesmaximal, characteristic, complemented
34#34727C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#550C2212yes—
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#547C2211yescharacteristic, complemented
40C2×#547C2212yescomplemented
41C2×#546C2212yes—
42C2×#537C2212yescomplemented
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×#525C2212yes—
46C2×C4×#41C2211yescharacteristic, complemented
47C22×C4×D4C2211yescharacteristic
48#2859C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2857C2212yescomplemented
52#2856C2212yes—
53#2855C2212yescomplemented
54#2848C2212yes—
55#2847C2212yes—
56#2847C2212yes—
57#2841C2214yescomplemented
58#2838C2214yescomplemented
59#2837C2214yescomplemented
60#2837C2214yescomplemented
61#2827C2214yescomplemented
62#2825C2214yes—
63#2816C2214yes—
64#2813C2214yescomplemented
65#2797C2214yescomplemented
66#2797C2214yescomplemented
67#2788C2214yes—
68#2786C2214yescomplemented
69#2785C2214yescomplemented
70#2784C2214yescomplemented
71#2780C2214yes—
72#2778C2214yescomplemented
73#2768C2214yescomplemented
74#2768C2214yescomplemented
75#2761C2214yescomplemented
76#2755C2214yescomplemented
77#2753C2214yescomplemented
78#2750C2214yescomplemented
79#2746C2214yescomplemented
80#2732C2214yes—
81#2728C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2709C2214yescomplemented
85#2708C2214yescomplemented
86#2707C2214yescomplemented
87#2706C2214yes—
88#2706C2214yes—
89#2706C2214yescomplemented
90#2703C2214yes—
91#2703C2214yescomplemented
92#2701C2214yescomplemented
93#2701C2214yescomplemented
94#2696C2214yescomplemented
95#2696C2214yescomplemented
96#2695C2214yescomplemented
97#2693C2214yes—
98#2692C2214yes—
99#2692C2214yescomplemented
100#2688C2214yes—
101#2688C2214yescomplemented
102#2686C2214yescomplemented
103#2682C2214yescomplemented
104#2680C2214yescomplemented
105#2678C2214yes—
106#2678C2214yes—
107#2676C2214yescomplemented
108#2673C2214yes—
109#2672C2214yescomplemented
110#2671C2214yes—
111#2671C2214yescomplemented
112#2669C2214yes—
113#2668C2214yes—
114#2661C2214yes—
115#2661C2214yescomplemented
116#2650C2214yescomplemented
117#2645C2212yescomplemented
118#2644C2212yescomplemented
119#2644C2214yescomplemented
120#2640C2212yes—
121#2636C2214yes—
122#2628C2212yescomplemented
123#2626C2214yes—
124#2625C2212yescomplemented
125#2625C2212yescomplemented
126#2624C2212yescomplemented
127#2620C2214yescomplemented
128#2615C2214yes—
129#2615C2212yescomplemented
130#2610C2214yes—
131#2602C2214yes—
132#2570C2212yescomplemented
133#2568C2211yescharacteristic, complemented
134#2563C2212yes—
135#2563C2212yes—
136#2562C2212yes—
137#2551C2211yescharacteristic, complemented
138#2547C2211yescharacteristic
139#2541C2212yescomplemented
140#2540C2212yes—
141#2540C2212yes—
142#2539C2214yes—
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2538C2211yescharacteristic, complemented
146#2538C2212yescomplemented
147#2538C2212yescomplemented
148#2537C2211yescharacteristic
149#2537C2211yescharacteristic
150#2537C2211yescharacteristic
151#2537C2212yescomplemented
152#2537C2211yescharacteristic, complemented
153#2535C2212yes—
154#2527C2214yescomplemented
155#2526C2214yescomplemented
156#2526C2214yescomplemented
157#2511C2212yescomplemented
158#2507C2212yescomplemented
159#2507C2212yescomplemented
160#2505C2214yescomplemented
161#2497C2212yes—
162#2497C2212yescomplemented
163#2494C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2488C2214yescomplemented
169#2487C2212yes—
170#2487C2212yes—
171#2487C2212yescomplemented
172#2487C2212yescomplemented
173#2486C2212yes—
174#2486C2212yescomplemented
175#2486C2212yescomplemented
176#2486C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2479C2212yescomplemented
180#2472C2212yes—
181#2471C2212yes—
182#2470C2214yescomplemented
183#2467C2212yescomplemented
184#2464C2212yes—
185#2461C2212yes—
186#2457C2214yescomplemented
187#2457C2214yescomplemented
188#2456C2212yes—
189#2454C2211yescharacteristic, complemented
190#2452C2211yescharacteristic
191#2451C2212yescomplemented
192#2450C2214yescomplemented
193#2448C2212yes—
194#2448C2211yescharacteristic, complemented
195#2445C2212yes—
196#2445C2211yescharacteristic
197#2445C2214yescomplemented
198#2442C2212yescomplemented
199#2442C2212yescomplemented
200#2441C2212yes—
201#2441C2211yescharacteristic, complemented
202#2440C2211yescharacteristic
203#2440C2212yescomplemented
204#2440C2212yescomplemented
205#2433C2211yescharacteristic
206#2431C2212yes—
207#2431C2214yescomplemented
208#2431C2211yescharacteristic, complemented
209#2430C2214yescomplemented
210#2428C2211yescharacteristic
211#2428C2211yescharacteristic
212#2428C2212yescomplemented
213#2427C2212yes—
214#2427C2212yescomplemented
215#2425C2214yes—
216#2424C2212yes—
217#2423C2212yes—
218#2423C2211yescharacteristic
219#2422C2212yes—
220#2422C2211yescharacteristic
221#2422C2212yescomplemented
222#2420C2212yescomplemented
223#2417C2212yes—
224#2417C2212yes—
225#2417C2212yes—
226#2417C2212yes—
227#2417C2212yescomplemented
228#2416C2212yes—
229#2416C2212yes—
230#2416C2211yescharacteristic
231#2416C2212yes—
232#2416C2212yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2416C2214yescomplemented
236#2415C2212yescomplemented
237#2415C2212yescomplemented
238#2414C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2414C2211yescharacteristic
242#2414C2212yescomplemented
243#2412C2214yes—
244#2411C2214yes—
245#2408C2212yes—
246#2408C2211yescharacteristic
247#2407C2212yes—
248#2407C2212yes—
249#2407C2211yescharacteristic
250#2407C2212yes—
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2406C2214yescomplemented
255#2404C2214yes—
256#2397C2212yes—
257#2392C2212yes—
258#2392C2212yescomplemented
259#2388C2212yes—
260#2377C2214yes—
261#2360C2212yescomplemented
262#2360C2212yescomplemented
263#2354C2211yescharacteristic, complemented
264#2354C2211yescharacteristic, complemented
265#2352C2212yes—
266#2352C2212yescomplemented
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic, complemented
269D4×C4⋊C4C2212yescomplemented
270#2346C2212yescomplemented
271#2346C2212yescomplemented
272#2345C2212yescomplemented
273#2339C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yescomplemented
277#2321C2214yes—
278#2319C2212yes—
279#2311C2212yescomplemented
280#2311C2212yescomplemented
281#2311C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#127C2211yescharacteristic, complemented
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2297C2212yes—
292#2295C2211yescharacteristic, complemented
293#2293C2211yescharacteristic
294#2290C2212yescomplemented
295#2285C2211yescharacteristic
296C2×#384C2211yescharacteristic, complemented
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×D4C2311yescharacteristic
305C24×C4C2312yes—
306#550—48no—
307#547—48no—
308#547—44no—
309#547—44no—
310#547—48no—
311#546—48no—
312#537—48no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2314yes—
322#529—44no—
323C2×#126C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330#525—48no—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#120C2312yes—
385C2×#120C2314yes—
386C2×#120C2312yes—
387C2×#120C2312yes—
388C2×#120C2314yes—
389C4×#41—44no—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×D4—44no—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2312yes—
442#401C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#399C2312yes—
454#399C2314yes—
455#399C2312yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2312yes—
460#399C2312yes—
461#399C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2312yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2312yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2312yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2312yes—
553#392C2312yes—
554#392C2312yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2312yes—
563#392C2312yes—
564#392C2312yes—
565#392C2312yes—
566#392C2314yes—
567#392C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2314yes—
572#391C2314yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2311yescharacteristic
578#391C2314yes—
579#391C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2311yescharacteristic
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2312yes—
745#382C2314yes—
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2314yes—
788#380C2311yescharacteristic
789#380C2314yes—
790#379C2314yes—
791#379C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819#376C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—48no—
829C2×#41—48no—
830C2×#41—42no—
831C2×#41—42no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—84no—
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2414yes—
842C22×D4—24no—
843C22×D4—42no—
844C22×D4—42no—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C23×C4—44no—
873C23×C4—44no—
874C23×C4—44no—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C4⋊Q8—24no—
897C4⋊Q8—42no—
898C4⋊Q8—44no—
899C4⋊Q8—44no—
900#127—24no—
901#127—42no—
902#127—42no—
903#127—48no—
904#126—44no—
905#125—42no—
906#125—82no—
907#124—44no—
908#124—42no—
909#124—44no—
910#124—84no—
911#123—48no—
912#123—48no—
913#123—48no—
914#123—44no—
915#123—48no—
916#123—48no—
917#123—44no—
918#123—48no—
919#123—48no—
920#123—44no—
921#123—84no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—42no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—48no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935#121—24no—
936#121—28no—
937#121—24no—
938#121—28no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—48no—
943#121—42no—
944#121—42no—
945#121—44no—
946#121—44no—
947#121—42no—
948#121—42no—
949#121—42no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—84no—
963#121—84no—
964#120—28no—
965#120—44no—
966#120—48no—
967#120—44no—
968#120—84no—
969C4×Q8—24no—
970C4×Q8—42no—
971C4×Q8—44no—
972C4×D4—28no—
973C4×D4—24no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—44no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—48no—
1000#117—44no—
1001#117—44no—
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—42no—
1006#117—82no—
1007C2×C4⋊C4—28no—
1008C2×C4⋊C4—42no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—82no—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C22⋊C4—44no—
1076C2×C22⋊C4—48no—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42—44no—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2412yes—
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230C24—24no—
1231C24—24no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24C2512yes—
1238C24C2512yes—
1239C24C2512yes—
1240C24C2512yes—
1241C24C2512yes—
1242C24C2511yescharacteristic
1243C24C2511yescharacteristic
1244#41—416no—
1245#41—816no—
1246#41—816no—
1247#41—816no—
1248#41—832no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—24no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—42no—
1259C2×Q8—44no—
1260C2×Q8—42no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—41no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—416no—
1342C2×D4H(5,𝔽2)14yes—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—28no—
1347C22×C4—28no—
1348C22×C4—28no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—24no—
1373C22×C4—22no—
1374C22×C4—24no—
1375C22×C4—22no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—42no—
1399C22×C4—44no—
1400C22×C4—42no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—816no—
1406C22×C4H(5,𝔽2)14yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2514yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2514yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—41no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C22⋊C4—28no—
1496C22⋊C4—22no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—22no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—22no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C42−1+414yes—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—24no—
1578C42—22no—
1579C42—24no—
1580C42—24no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—42no—
1586C42—42no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42—44no—
1591C42—41no—
1592C42H(5,𝔽2)14yes—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
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—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—48no—
1640C23—48no—
1641C23—84no—
1642C23—84no—
1643C23—84no—
1644C23—84no—
1645C23—84no—
1646C23C2×H(5,𝔽2)14yes—
1647C23C2×H(5,𝔽2)12yes—
1648C23C2×2−1+412yes—
1649C23C2611yescharacteristic
1650Q8—44no—
1651Q8—48no—
1652Q8—84no—
1653Q8—88no—
1654D4—28no—
1655D4—48no—
1656D4—44no—
1657D4—48no—
1658D4—48no—
1659D4—48no—
1660D4—48no—
1661D4—44no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—84no—
1674D4—84no—
1675D4—88no—
1676D4—84no—
1677D4—88no—
1678D4—164no—
1679D4—164no—
1680D4—164no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—28no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—48no—
1767C2×C4—84no—
1768C2×C4—88no—
1769C2×C4—88no—
1770C2×C4—88no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4—88no—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×2−1+412yes—
1783C2×C4C2×2−1+412yes—
1784C2×C4#58512yes—
1785C2×C4#58512yes—
1786C22—24no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—24no—
1792C22—22no—
1793C22—22no—
1794C22—24no—
1795C22—41no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—42no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—41no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—816no—
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C22×H(5,𝔽2)11yescharacteristic
1839C22C22×2−1+411yescharacteristic
1840C22C2×#58511yescharacteristic
1841C22C2×#58511yescharacteristic
1842C22H(7,𝔽2)11yescharacteristic
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—42no—
1848C4—41no—
1849C4—42no—
1850C4—44no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—41no—
1855C4—41no—
1856C4—44no—
1857C4—41no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—44no—
1869C4#354214yes—
1870C4#354214yes—
1871C2—42no—
1872C2—44no—
1873C2—42no—
1874C2—82no—
1875C2—82no—
1876C2—82no—
1877C2—82no—
1878C2C2×#354211yescharacteristic
1879C2C2×#354211yescharacteristic
1880C2#6283511yescharacteristic
1881C2#6291211yescharacteristic
1882C2#6293711yescharacteristic
1883C2#6294411yescharacteristic
1884C2#6301311yescharacteristic
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. #59313C2semidirect
3. #59233C2semidirect
4. #57995C2semidirect
5. #57255C2semidirect
6. #55491C2semidirect
7. #53098C2semidirect
8. #52972C2semidirect
9. #51132C2semidirect
10. #45600C2semidirect
11. #45498C2semidirect
12. #44930C2semidirect
13. #44916C2semidirect
14. #42746C2semidirect
15. #42746C2semidirect
16. #42478C2semidirect
17. #42421C2semidirect
18. #39957C2semidirect
19. #39605C2semidirect
20. #39471C2semidirect
21. #39191C2semidirect
22. #38975C2semidirect
23. #38908C2semidirect
24. #38116C2semidirect
25. #37839C2semidirect
26. #37631C2semidirect
27. #37346C2semidirect
28. #37268C2semidirect
29. #36404C2semidirect
30. #36189C2semidirect
31. #36153C2semidirect
32. #35273C2semidirect
33. #35236C2semidirect
34. #34727C2semidirect
35. #34681C2semidirect
39. C2×#547C22semidirect
40. C2×#547C22semidirect
42. C2×#537C22semidirect
46. C2×C4×#41C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2855C22semidirect
57. #2841C22semidirect
58. #2838C22semidirect
59. #2837C22semidirect
60. #2837C22semidirect
61. #2827C22semidirect
64. #2813C22semidirect
65. #2797C22semidirect
66. #2797C22semidirect
68. #2786C22semidirect
69. #2785C22semidirect
70. #2784C22semidirect
72. #2778C22semidirect
73. #2768C22semidirect
74. #2768C22semidirect
75. #2761C22semidirect
76. #2755C22semidirect
77. #2753C22semidirect
78. #2750C22semidirect
79. #2746C22semidirect
81. #2728C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2709C22semidirect
85. #2708C22semidirect
86. #2707C22semidirect
89. #2706C22semidirect
91. #2703C22semidirect
92. #2701C22semidirect
93. #2701C22semidirect
94. #2696C22semidirect
95. #2696C22semidirect
96. #2695C22semidirect
99. #2692C22semidirect
101. #2688C22semidirect
102. #2686C22semidirect
103. #2682C22semidirect
104. #2680C22semidirect
107. #2676C22semidirect
109. #2672C22semidirect
111. #2671C22semidirect
115. #2661C22semidirect
116. #2650C22semidirect
117. #2645C22semidirect
118. #2644C22semidirect
119. #2644C22semidirect
122. #2628C22semidirect
124. #2625C22semidirect
125. #2625C22semidirect
126. #2624C22semidirect
127. #2620C22semidirect
129. #2615C22semidirect
132. #2570C22semidirect
133. #2568C22semidirect
137. #2551C22semidirect
139. #2541C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
154. #2527C22semidirect
155. #2526C22semidirect
156. #2526C22semidirect
157. #2511C22semidirect
158. #2507C22semidirect
159. #2507C22semidirect
160. #2505C22semidirect
162. #2497C22semidirect
163. #2494C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2488C22semidirect
171. #2487C22semidirect
172. #2487C22semidirect
174. #2486C22semidirect
175. #2486C22semidirect
176. #2486C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2479C22semidirect
182. #2470C22semidirect
183. #2467C22semidirect
186. #2457C22semidirect
187. #2457C22semidirect
189. #2454C22semidirect
191. #2451C22semidirect
192. #2450C22semidirect
194. #2448C22semidirect
197. #2445C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
201. #2441C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
207. #2431C22semidirect
208. #2431C22semidirect
209. #2430C22semidirect
212. #2428C22semidirect
214. #2427C22semidirect
221. #2422C22semidirect
222. #2420C22semidirect
227. #2417C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2415C22semidirect
237. #2415C22semidirect
242. #2414C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2406C22semidirect
258. #2392C22semidirect
261. #2360C22semidirect
262. #2360C22semidirect
263. #2354C22semidirect
264. #2354C22semidirect
266. #2352C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. #2346C22semidirect
271. #2346C22semidirect
272. #2345C22semidirect
276. #2324C22semidirect
279. #2311C22semidirect
280. #2311C22semidirect
281. #2311C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#127C22semidirect
289. C4×#121C22semidirect
292. #2295C22semidirect
294. #2290C22semidirect
296. C2×#384C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#593132
#592332
#579952
#572552
#554912
#530982
#529722
#511322
#456002
#454982
#449302
#449162
#427462
#424782
#424212
#399572
#396052
#394712
#391912
#389752
#389082
#381162
#378392
#376312
#373462
#372682
#364042
#361892
#361532
#352732
#352362
#347272
#346812