Finite Group Databasebeta

← #7678799

Subgroups — #7678799

Order 512.

5322 conjugacy classes of subgroups.

The subgroup lattice has 1859 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59309C212yesmaximal, complemented
2#59308C212yesmaximal, complemented
3#59307C212yesmaximal, complemented
4#59306C212yesmaximal, complemented
5#59222C212yesmaximal, complemented
6#59221C212yesmaximal, complemented
7#59216C212yesmaximal, complemented
8#59215C212yesmaximal, complemented
9#45310C212yesmaximal, complemented
10#45297C212yesmaximal, complemented
11#45160C212yesmaximal, complemented
12#45158C212yesmaximal, complemented
13#45066C212yesmaximal, complemented
14#45035C212yesmaximal, complemented
15#44974C212yesmaximal, complemented
16#44972C212yesmaximal, complemented
17#39254C214yesmaximal, complemented
18#39252C214yesmaximal, complemented
19#39184C214yesmaximal, complemented
20#36520C214yesmaximal, complemented
21#35544C211yesmaximal, characteristic, complemented
22#35544C211yesmaximal, characteristic, complemented
23#35518C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35227C211yesmaximal, characteristic, complemented
26#35181C211yesmaximal, characteristic, complemented
27#35157C211yesmaximal, characteristic, complemented
28#34935C211yesmaximal, characteristic, complemented
29#34935C211yesmaximal, characteristic, complemented
30#34201C211yesmaximal, characteristic, complemented
31#34200C211yesmaximal, characteristic, complemented
32#34189C211yesmaximal, characteristic, complemented
33#34184C211yesmaximal, characteristic, complemented
34C2×#2352C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C23×C4⋊C4C2211yescharacteristic
48#2853C2214yes—
49#2851C2214yes—
50#2849C2214yes—
51#2801C2214yescomplemented
52#2800C2214yescomplemented
53#2779C2214yescomplemented
54#2776C2214yescomplemented
55#2772C2214yescomplemented
56#2772C2214yescomplemented
57#2770C2214yescomplemented
58#2766C2214yescomplemented
59#2761C2214yes—
60#2757C2214yes—
61#2757C2214yescomplemented
62#2753C2214yes—
63#2753C2214yescomplemented
64#2749C2214yes—
65#2747C2214yescomplemented
66#2746C2214yescomplemented
67#2741C2214yescomplemented
68#2739C2214yescomplemented
69#2725C2214yescomplemented
70#2711C2214yescomplemented
71#2703C2214yes—
72#2701C2214yes—
73#2691C2214yes—
74#2688C2214yes—
75#2646C2214yes—
76#2623C2214yes—
77#2622C2214yes—
78#2608C2214yescomplemented
79#2606C2214yescomplemented
80#2603C2214yes—
81#2602C2214yescomplemented
82#2597C2214yes—
83#2596C2214yescomplemented
84#2587C2214yescomplemented
85#2585C2214yescomplemented
86#2578C2214yescomplemented
87#2578C2214yescomplemented
88#2576C2214yescomplemented
89#2576C2214yescomplemented
90#2571C2212yescomplemented
91#2571C2212yescomplemented
92#2570C2212yescomplemented
93#2570C2212yescomplemented
94#2570C2212yescomplemented
95#2570C2212yescomplemented
96#2569C2214yescomplemented
97#2559C2214yes—
98#2559C2214yescomplemented
99#2558C2214yescomplemented
100#2554C2214yes—
101#2552C2212yescomplemented
102#2552C2212yescomplemented
103#2543C2214yes—
104#2538C2211yescharacteristic
105#2538C2211yescharacteristic
106#2538C2211yescharacteristic
107#2538C2211yescharacteristic
108#2538C2212yescomplemented
109#2538C2212yescomplemented
110#2537C2211yescharacteristic
111#2537C2211yescharacteristic
112#2537C2211yescharacteristic
113#2537C2211yescharacteristic
114#2537C2212yescomplemented
115#2537C2212yescomplemented
116#2536C2211yescharacteristic
117#2536C2211yescharacteristic
118#2536C2211yescharacteristic
119#2536C2211yescharacteristic
120#2536C2212yescomplemented
121#2536C2212yescomplemented
122#2535C2211yescharacteristic
123#2535C2211yescharacteristic
124#2535C2211yescharacteristic
125#2535C2211yescharacteristic
126#2535C2212yescomplemented
127#2535C2212yescomplemented
128#2534C2212yes—
129#2534C2212yes—
130#2534C2212yes—
131#2534C2212yes—
132#2531C2214yescomplemented
133#2530C2214yescomplemented
134#2529C2214yescomplemented
135#2526C2214yes—
136#2525C2214yescomplemented
137#2522C2214yescomplemented
138#2518C2214yescomplemented
139#2518C2214yescomplemented
140#2516C2214yescomplemented
141#2515C2214yescomplemented
142#2510C2214yescomplemented
143#2510C2214yescomplemented
144#2504C2212yescomplemented
145#2503C2212yescomplemented
146#2502C2212yescomplemented
147#2501C2212yescomplemented
148#2500C2212yescomplemented
149#2500C2212yescomplemented
150#2499C2212yescomplemented
151#2499C2212yescomplemented
152#2497C2212yescomplemented
153#2497C2212yescomplemented
154#2497C2212yescomplemented
155#2497C2212yescomplemented
156#2496C2212yescomplemented
157#2496C2212yescomplemented
158#2496C2212yescomplemented
159#2496C2212yescomplemented
160#2495C2212yescomplemented
161#2495C2212yescomplemented
162#2495C2212yescomplemented
163#2495C2212yescomplemented
164#2494C2212yescomplemented
165#2494C2212yescomplemented
166#2494C2212yescomplemented
167#2494C2212yescomplemented
168#2493C2214yes—
169#2493C2214yes—
170#2487C2212yescomplemented
171#2487C2212yescomplemented
172#2486C2212yes—
173#2486C2212yes—
174#2486C2212yescomplemented
175#2486C2212yescomplemented
176#2485C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2480C2214yes—
181#2480C2214yes—
182#2467C2214yescomplemented
183#2464C2214yes—
184#2460C2214yescomplemented
185#2457C2214yescomplemented
186#2444C2214yes—
187#2444C2214yescomplemented
188#2425C2214yes—
189#2425C2214yes—
190#2424C2214yes—
191#2424C2214yes—
192#2417C2212yescomplemented
193#2417C2212yescomplemented
194#2416C2212yescomplemented
195#2416C2212yescomplemented
196#2415C2212yescomplemented
197#2415C2212yescomplemented
198#2414C2212yescomplemented
199#2414C2212yescomplemented
200#2408C2212yes—
201#2408C2212yes—
202#2392C2212yes—
203#2392C2212yes—
204#2392C2212yes—
205#2392C2212yes—
206#2374C2214yescomplemented
207#2373C2214yescomplemented
208#2364C2214yescomplemented
209#2363C2212yescomplemented
210#2363C2212yescomplemented
211#2362C2212yescomplemented
212#2362C2212yescomplemented
213#2361C2212yescomplemented
214#2361C2212yescomplemented
215#2360C2212yescomplemented
216#2360C2212yescomplemented
217#2357C2212yescomplemented
218#2357C2212yescomplemented
219#2356C2212yescomplemented
220#2356C2212yescomplemented
221#2354C2212yescomplemented
222#2354C2212yescomplemented
223#2353C2214yes—
224#2353C2214yes—
225#2353C2214yescomplemented
226#2352C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2352C2212yes—
230#2352C2212yes—
231#2352C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2212yescomplemented
235#2352C2212yescomplemented
236#2352C2212yescomplemented
237#2352C2212yescomplemented
238#2351C2212yescomplemented
239#2351C2212yescomplemented
240#2349C2214yes—
241#2349C2214yes—
242#2349C2212yescomplemented
243#2349C2212yescomplemented
244D4×C4⋊C4C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246#2325C2214yes—
247#2324C2212yescomplemented
248#2324C2212yescomplemented
249#2323C2212yescomplemented
250#2323C2212yescomplemented
251#2322C2214yes—
252#2321C2214yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2212yescomplemented
260#2317C2212yescomplemented
261#2316C2211yescharacteristic
262#2314C2212yescomplemented
263#2314C2212yescomplemented
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268C4×C22⋊Q8C2212yescomplemented
269C4×C22⋊Q8C2212yescomplemented
270C4×#123C2214yes—
271C4×#121C2214yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#120C2214yes—
279C2×#388C2212yes—
280C2×#387C2212yes—
281C2×#386C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2212yescomplemented
285#2283C2212yescomplemented
286#2283C2212yescomplemented
287C2×#382C2211yescharacteristic
288C2×#382C2212yescomplemented
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2312yes—
305#537—28no—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125C2314yes—
309#525—28no—
310#525—28no—
311#525—44no—
312#525—44no—
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2314yes—
346C2×#120C2312yes—
347C2×#120C2312yes—
348C2×#120C2312yes—
349C2×#120C2312yes—
350#520—44no—
351#520—44no—
352C4×#41—28no—
353C4×#41—28no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4—28no—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×#117—44no—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C22×C4⋊C4—44no—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2312yes—
426C22×C42C2312yes—
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2311yescharacteristic
430#401C2314yes—
431#401C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
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#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#384C2311yescharacteristic
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#379C2312yes—
767#379C2312yes—
768#379C2312yes—
769#379C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2314yes—
814#376C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2314yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2411yescharacteristic
823C25C2411yescharacteristic
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41#4118yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×D4—24no—
833C22×D4—42no—
834C22×D4—42no—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C23×C4—24no—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4—24no—
856C23×C4—24no—
857C23×C4—24no—
858C23×C4—44no—
859C23×C4—44no—
860C23×C4—82no—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888#126—48no—
889#126—84no—
890#125—84no—
891#123—28no—
892#123—28no—
893#123—48no—
894#123—44no—
895#123—44no—
896#123—84no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—24no—
900C22⋊Q8—24no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907#121—24no—
908#121—24no—
909#121—24no—
910#121—24no—
911#121—28no—
912#121—216no—
913#121—28no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—42no—
920#121—42no—
921#121—42no—
922#121—42no—
923#121—84no—
924#120—28no—
925#120—28no—
926#120—44no—
927#120—44no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—84no—
964C4×D4—84no—
965#117—24no—
966#117—24no—
967#117—24no—
968#117—24no—
969#117—24no—
970#117—24no—
971#117—28no—
972#117—28no—
973#117—44no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—44no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C22⋊C4—24no—
1055C2×C22⋊C4—24no—
1056C2×C22⋊C4—44no—
1057C2×C22⋊C4—44no—
1058C2×C22⋊C4—82no—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C42—28no—
1128C2×C42—28no—
1129C2×C42—44no—
1130C2×C42—82no—
1131C2×C42#4118yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24C2511yescharacteristic
1231C24C2511yescharacteristic
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237#41—232no—
1238#41—416no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8C2×#4114yes—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—42no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—416no—
1295C2×D4C2×#4118yes—
1296C2×D4C2×#4114yes—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—416no—
1373C22×C4—416no—
1374C22×C4—816no—
1375C22×C4C2×#4118yes—
1376C22×C4C2×#4114yes—
1377C22×C4C2×#4114yes—
1378C22×C4C2×#4114yes—
1379C22×C4C2×#4114yes—
1380C22×C4H(5,𝔽2)14yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2514yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2514yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—28no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
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—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—24no—
1547C42—24no—
1548C42—24no—
1549C42—24no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42—44no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—44no—
1558C42—44no—
1559C42—44no—
1560C42C2×#4114yes—
1561C42C2×#4114yes—
1562C42C2×#4114yes—
1563C42C2×#4114yes—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—28no—
1569C23—22no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—21no—
1583C23—22no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—22no—
1593C23—21no—
1594C23—21no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—21no—
1605C23—21no—
1606C23—22no—
1607C23—21no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23C22×#4114yes—
1622C23C22×#4112yes—
1623C23C22×#4112yes—
1624C23C2×H(5,𝔽2)12yes—
1625C23#58512yes—
1626C23#58512yes—
1627C23C2611yescharacteristic
1628Q8—28no—
1629Q8—44no—
1630D4—216no—
1631D4—28no—
1632D4—44no—
1633D4—44no—
1634D4—44no—
1635D4—44no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—44no—
1640D4—84no—
1641D4—88no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—216no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—48no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—84no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—84no—
1743C2×C4—88no—
1744C2×C4—164no—
1745C2×C4—164no—
1746C2×C4#553116yes—
1747C2×C4C22×#4112yes—
1748C2×C4C22×#4112yes—
1749C2×C4C22×#4112yes—
1750C2×C4C22×#4112yes—
1751C2×C4C22×#4114yes—
1752C2×C4C22×#4112yes—
1753C2×C4C22×#4112yes—
1754C2×C4C22×#4112yes—
1755C2×C4C22×#4112yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—24no—
1766C22—22no—
1767C22—24no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—24no—
1773C22—416no—
1774C22—41no—
1775C22—41no—
1776C22—42no—
1777C22—42no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—41no—
1791C22—41no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—41no—
1797C22—41no—
1798C22—42no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—42no—
1807C22—88no—
1808C22C2×#55314yes—
1809C22C23×#4111yescharacteristic
1810C22C23×#4111yescharacteristic
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22H(7,𝔽2)11yescharacteristic
1815C222−1+611yescharacteristic
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—24no—
1821C4—42no—
1822C4—42no—
1823C4—44no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—44no—
1831C4—44no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4—42no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—42no—
1842C4C2×#55314yes—
1843C4C2×#55314yes—
1844C2—24no—
1845C2—44no—
1846C2—42no—
1847C2—42no—
1848C2—82no—
1849C2—81no—
1850C2—81no—
1851C2C22×#55311yescharacteristic
1852C2#6281411yescharacteristic
1853C2#6285611yescharacteristic
1854C2#6292411yescharacteristic
1855C2#6295411yescharacteristic
1856C2#6299311yescharacteristic
1857C2#6300811yescharacteristic
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. #59309C2semidirect
2. #59308C2semidirect
3. #59307C2semidirect
4. #59306C2semidirect
5. #59222C2semidirect
6. #59221C2semidirect
7. #59216C2semidirect
8. #59215C2semidirect
9. #45310C2semidirect
10. #45297C2semidirect
11. #45160C2semidirect
12. #45158C2semidirect
13. #45066C2semidirect
14. #45035C2semidirect
15. #44974C2semidirect
16. #44972C2semidirect
17. #39254C2semidirect
18. #39252C2semidirect
19. #39184C2semidirect
20. #36520C2semidirect
21. #35544C2semidirect
22. #35544C2semidirect
23. #35518C2semidirect
24. #35518C2semidirect
25. #35227C2semidirect
26. #35181C2semidirect
27. #35157C2semidirect
28. #34935C2semidirect
29. #34935C2semidirect
30. #34201C2semidirect
31. #34200C2semidirect
32. #34189C2semidirect
33. #34184C2semidirect
34. C2×#2352C2semidirect
35. C4×#537C2semidirect
51. #2801C22semidirect
52. #2800C22semidirect
53. #2779C22semidirect
54. #2776C22semidirect
55. #2772C22semidirect
56. #2772C22semidirect
57. #2770C22semidirect
58. #2766C22semidirect
61. #2757C22semidirect
63. #2753C22semidirect
65. #2747C22semidirect
66. #2746C22semidirect
67. #2741C22semidirect
68. #2739C22semidirect
69. #2725C22semidirect
70. #2711C22semidirect
78. #2608C22semidirect
79. #2606C22semidirect
81. #2602C22semidirect
83. #2596C22semidirect
84. #2587C22semidirect
85. #2585C22semidirect
86. #2578C22semidirect
87. #2578C22semidirect
88. #2576C22semidirect
89. #2576C22semidirect
90. #2571C22semidirect
91. #2571C22semidirect
92. #2570C22semidirect
93. #2570C22semidirect
94. #2570C22semidirect
95. #2570C22semidirect
96. #2569C22semidirect
98. #2559C22semidirect
99. #2558C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
108. #2538C22semidirect
109. #2538C22semidirect
114. #2537C22semidirect
115. #2537C22semidirect
120. #2536C22semidirect
121. #2536C22semidirect
126. #2535C22semidirect
127. #2535C22semidirect
132. #2531C22semidirect
133. #2530C22semidirect
134. #2529C22semidirect
136. #2525C22semidirect
137. #2522C22semidirect
138. #2518C22semidirect
139. #2518C22semidirect
140. #2516C22semidirect
141. #2515C22semidirect
142. #2510C22semidirect
143. #2510C22semidirect
144. #2504C22semidirect
145. #2503C22semidirect
146. #2502C22semidirect
147. #2501C22semidirect
148. #2500C22semidirect
149. #2500C22semidirect
150. #2499C22semidirect
151. #2499C22semidirect
152. #2497C22semidirect
153. #2497C22semidirect
154. #2497C22semidirect
155. #2497C22semidirect
156. #2496C22semidirect
157. #2496C22semidirect
158. #2496C22semidirect
159. #2496C22semidirect
160. #2495C22semidirect
161. #2495C22semidirect
162. #2495C22semidirect
163. #2495C22semidirect
164. #2494C22semidirect
165. #2494C22semidirect
166. #2494C22semidirect
167. #2494C22semidirect
170. #2487C22semidirect
171. #2487C22semidirect
174. #2486C22semidirect
175. #2486C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
182. #2467C22semidirect
184. #2460C22semidirect
185. #2457C22semidirect
187. #2444C22semidirect
192. #2417C22semidirect
193. #2417C22semidirect
194. #2416C22semidirect
195. #2416C22semidirect
196. #2415C22semidirect
197. #2415C22semidirect
198. #2414C22semidirect
199. #2414C22semidirect
206. #2374C22semidirect
207. #2373C22semidirect
208. #2364C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2362C22semidirect
212. #2362C22semidirect
213. #2361C22semidirect
214. #2361C22semidirect
215. #2360C22semidirect
216. #2360C22semidirect
217. #2357C22semidirect
218. #2357C22semidirect
219. #2356C22semidirect
220. #2356C22semidirect
221. #2354C22semidirect
222. #2354C22semidirect
225. #2353C22semidirect
234. #2352C22semidirect
235. #2352C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. #2351C22semidirect
239. #2351C22semidirect
242. #2349C22semidirect
243. #2349C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
247. #2324C22semidirect
248. #2324C22semidirect
249. #2323C22semidirect
250. #2323C22semidirect
259. #2317C22semidirect
260. #2317C22semidirect
262. #2314C22semidirect
263. #2314C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
284. #2285C22semidirect
285. #2283C22semidirect
286. #2283C22semidirect
288. C2×#382C22semidirect

Maximal subgroups

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

subgroupindex
#593092
#593082
#593072
#593062
#592222
#592212
#592162
#592152
#453102
#452972
#451602
#451582
#450662
#450352
#449742
#449722
#392542
#392522
#391842
#365202
#355442
#355182
#352272
#351812
#351572
#349352
#342012
#342002
#341892
#341842
C2×#23522
C4×#5372