Finite Group Databasebeta

← #7681081

Subgroups — #7681081

Order 512.

5013 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59695C212yesmaximal, complemented
2#59694C212yesmaximal, complemented
3#59582C212yesmaximal, complemented
4#59575C212yesmaximal, complemented
5#59210C214yesmaximal, complemented
6#59209C214yesmaximal, complemented
7#45342C212yesmaximal, complemented
8#45220C212yesmaximal, complemented
9#45184C212yesmaximal, complemented
10#45173C212yesmaximal, complemented
11#43515C214yesmaximal, complemented
12#43059C214yesmaximal, complemented
13#39058C212yesmaximal, complemented
14#39053C212yesmaximal, complemented
15#38217C212yesmaximal, complemented
16#38215C212yesmaximal, complemented
17#38128C212yesmaximal, complemented
18#38122C212yesmaximal, complemented
19#36382C212yesmaximal, complemented
20#36278C212yesmaximal, complemented
21#35674C211yesmaximal, characteristic, complemented
22#35633C211yesmaximal, characteristic
23#35633C211yesmaximal, characteristic
24#35585C211yesmaximal, characteristic, complemented
25#35316C211yesmaximal, characteristic, complemented
26#35313C211yesmaximal, characteristic, complemented
27#35311C211yesmaximal, characteristic, complemented
28#34814C211yesmaximal, characteristic, complemented
29C2×#2429C211yesmaximal, characteristic, complemented
30#34276C211yesmaximal, characteristic, complemented
31#34266C211yesmaximal, characteristic, complemented
32#34250C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic
35#34059C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#519C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2863C2212yescomplemented
49#2863C2212yescomplemented
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2855C2212yes—
53#2855C2212yes—
54#2802C2214yescomplemented
55#2802C2214yescomplemented
56#2793C2214yes—
57#2790C2214yes—
58#2787C2214yescomplemented
59#2787C2214yescomplemented
60#2786C2214yes—
61#2783C2214yes—
62#2782C2214yes—
63#2781C2214yes—
64#2779C2214yes—
65#2776C2214yescomplemented
66#2776C2214yescomplemented
67#2772C2214yes—
68#2770C2214yescomplemented
69#2770C2214yescomplemented
70#2766C2214yescomplemented
71#2766C2214yescomplemented
72#2765C2214yes—
73#2757C2214yes—
74#2750C2214yes—
75#2747C2214yescomplemented
76#2747C2214yescomplemented
77#2725C2214yes—
78#2645C2212yescomplemented
79#2645C2212yescomplemented
80#2625C2212yes—
81#2625C2212yes—
82#2621C2212yescomplemented
83#2621C2212yescomplemented
84#2608C2214yes—
85#2606C2214yescomplemented
86#2606C2214yescomplemented
87#2595C2214yes—
88#2594C2214yes—
89#2590C2214yescomplemented
90#2590C2214yescomplemented
91#2587C2214yes—
92#2587C2214yes—
93#2585C2214yescomplemented
94#2585C2214yescomplemented
95#2579C2214yes—
96#2578C2214yes—
97#2577C2214yescomplemented
98#2577C2214yescomplemented
99#2576C2214yes—
100#2573C2214yes—
101#2570C2214yescomplemented
102#2569C2214yes—
103#2569C2214yescomplemented
104#2569C2214yescomplemented
105#2547C2212yescomplemented
106#2547C2212yescomplemented
107#2546C2212yescomplemented
108#2546C2212yescomplemented
109#2534C2214yes—
110#2534C2214yes—
111#2531C2214yes—
112#2530C2214yescomplemented
113#2530C2214yescomplemented
114#2529C2214yes—
115#2525C2214yes—
116#2525C2214yes—
117#2515C2214yes—
118#2514C2212yescomplemented
119#2514C2212yescomplemented
120#2511C2212yescomplemented
121#2511C2212yescomplemented
122#2510C2214yes—
123#2509C2212yescomplemented
124#2509C2212yescomplemented
125#2509C2214yescomplemented
126#2508C2212yescomplemented
127#2508C2212yescomplemented
128#2507C2212yescomplemented
129#2507C2212yescomplemented
130#2507C2214yescomplemented
131#2506C2212yescomplemented
132#2506C2212yescomplemented
133#2503C2212yes—
134#2502C2212yes—
135#2499C2212yes—
136#2499C2212yes—
137#2497C2211yescharacteristic
138#2497C2211yescharacteristic
139#2496C2211yescharacteristic
140#2496C2211yescharacteristic
141#2495C2211yescharacteristic
142#2495C2211yescharacteristic
143#2495C2214yescomplemented
144#2494C2211yescharacteristic
145#2494C2211yescharacteristic
146#2494C2214yescomplemented
147#2493C2214yes—
148#2493C2212yes—
149#2493C2214yes—
150#2493C2212yes—
151#2486C2214yes—
152#2486C2214yes—
153#2486C2214yes—
154#2486C2214yes—
155#2484C2214yes—
156#2484C2214yes—
157#2484C2214yes—
158#2483C2214yes—
159#2481C2214yes—
160#2480C2212yes—
161#2480C2212yes—
162#2468C2214yes—
163#2460C2214yes—
164#2446C2212yescomplemented
165#2446C2212yescomplemented
166#2446C2212yescomplemented
167#2446C2212yescomplemented
168#2446C2212yescomplemented
169#2446C2212yescomplemented
170#2446C2212yescomplemented
171#2446C2212yescomplemented
172#2442C2214yes—
173#2442C2214yescomplemented
174#2429C2212yes—
175#2429C2212yes—
176#2429C2212yes—
177#2429C2212yes—
178#2429C2212yes—
179#2429C2212yes—
180#2429C2212yes—
181#2429C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2429C2212yes—
185#2429C2212yes—
186#2427C2212yes—
187#2427C2212yes—
188#2427C2212yes—
189#2427C2212yes—
190#2417C2212yes—
191#2417C2212yes—
192#2417C2212yes—
193#2417C2212yes—
194#2415C2212yes—
195#2415C2212yes—
196#2415C2212yes—
197#2415C2212yes—
198#2401C2212yes—
199#2401C2212yes—
200C2×#398C2212yes—
201C2×#396C2212yes—
202#2373C2214yes—
203#2370C2214yescomplemented
204#2367C2212yescomplemented
205#2367C2212yescomplemented
206#2365C2212yescomplemented
207#2365C2212yescomplemented
208#2363C2211yescharacteristic
209#2363C2211yescharacteristic
210#2362C2211yescharacteristic
211#2362C2212yes—
212#2362C2211yescharacteristic
213#2362C2212yes—
214#2362C2212yescomplemented
215#2362C2212yescomplemented
216#2362C2212yescomplemented
217#2362C2212yescomplemented
218#2361C2211yescharacteristic
219#2361C2211yescharacteristic
220#2360C2211yescharacteristic
221#2360C2212yes—
222#2360C2211yescharacteristic
223#2360C2212yes—
224#2360C2212yescomplemented
225#2360C2212yescomplemented
226#2360C2212yescomplemented
227#2360C2212yescomplemented
228#2359C2214yes—
229#2359C2212yes—
230#2359C2214yes—
231#2359C2212yes—
232#2358C2212yes—
233#2358C2212yes—
234#2353C2214yes—
235#2351C2212yescomplemented
236Q8×C4⋊C4C2212yescomplemented
237#2349C2214yes—
238#2349C2212yescomplemented
239D4×C4⋊C4C2214yes—
240D4×C4⋊C4C2212yescomplemented
241#2345C2214yescomplemented
242#2344C2214yes—
243#2342C2214yes—
244#2327C2212yescomplemented
245#2326C2212yescomplemented
246#2323C2212yes—
247#2323C2212yes—
248#2322C2214yes—
249#2320C2212yescomplemented
250#2320C2212yescomplemented
251#2320C2212yescomplemented
252#2320C2212yescomplemented
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2212yescomplemented
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2316C2211yescharacteristic
259#2316C2212yescomplemented
260#2313C2214yes—
261#2310C2211yescharacteristic
262#2310C2211yescharacteristic
263#2310C2211yescharacteristic
264#2310C2211yescharacteristic
265#2310C2211yescharacteristic
266C4×C4⋊Q8C2212yescomplemented
267C4×#126C2212yes—
268C4×#126C2212yes—
269C4×#124C2212yescomplemented
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×#123C2214yes—
273#2297C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2212yescomplemented
278#2295C2212yescomplemented
279#2295C2212yescomplemented
280#2295C2212yescomplemented
281#2295C2212yescomplemented
282C2×#391C2211yescharacteristic
283#2293C2212yes—
284C2×#389C2211yescharacteristic
285C2×#389C2212yes—
286C2×#389C2212yescomplemented
287#2290C2212yes—
288#2290C2212yes—
289C2×#388C2212yes—
290#2285C2211yescharacteristic
291#2283C2214yes—
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#536—28no—
304#536—28no—
305C2×C4⋊Q8—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317#525—28no—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8—28no—
322C2×C22⋊Q8—44no—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#120C2312yes—
340#520—28no—
341#520—44no—
342#519—44no—
343C4×#41—44no—
344C2×C4×Q8—28no—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×#117—44no—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#401C2312yes—
411#401C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2314yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
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#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#383C2312yes—
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#379C2312yes—
748#379C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813#376C2314yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41#4118yes—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C4⋊Q8—28no—
866C4⋊Q8—28no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—44no—
871#126—28no—
872#126—44no—
873#125—48no—
874#124—28no—
875#124—28no—
876#123—28no—
877#123—216no—
878#123—216no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893#121—24no—
894#121—24no—
895#120—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×D4—216no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—24no—
926#117—24no—
927#117—28no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—48no—
932#117—42no—
933#117—42no—
934#117—44no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—48no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4#4118yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—24no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4—44no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C42—28no—
1069C2×C42—24no—
1070C2×C42—24no—
1071C2×C42—44no—
1072C2×C42—44no—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24C2511yescharacteristic
1198C24C2512yes—
1199C24C2511yescharacteristic
1200C24C2511yescharacteristic
1201#41—232no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—416no—
1217C2×Q8—416no—
1218C2×Q8C2×#4114yes—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4C2×#4118yes—
1230C2×D4C2×#4114yes—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—416no—
1290C22×C4C2×#4118yes—
1291C22×C4C2×#4118yes—
1292C22×C4C2×#4114yes—
1293C22×C4C2×#4114yes—
1294C22×C4H(5,𝔽2)14yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2514yes—
1314C22×C4C2514yes—
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—28no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4C2×#4118yes—
1395C4⋊C4C2×#4118yes—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C42−1+414yes—
1441C42—22no—
1442C42—22no—
1443C42—28no—
1444C42—22no—
1445C42—22no—
1446C42—28no—
1447C42—24no—
1448C42—28no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—44no—
1468C42—42no—
1469C42—42no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—42no—
1474C42—44no—
1475C42—42no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—82no—
1504C23—82no—
1505C23—82no—
1506C23C22×#4114yes—
1507C23C22×#4112yes—
1508C23C22×#4112yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×2−1+412yes—
1511C23C2611yescharacteristic
1512Q8—28no—
1513Q8—48no—
1514Q8—48no—
1515Q8—48no—
1516Q8—48no—
1517D4—216no—
1518D4—28no—
1519D4—48no—
1520D4—84no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—216no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—48no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—48no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—88no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—82no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—164no—
1623C2×C4#553116yes—
1624C2×C4C22×#4118yes—
1625C2×C4C22×#4114yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4#58512yes—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—24no—
1644C22—24no—
1645C22—22no—
1646C22—24no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—42no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—88no—
1663C22C2×#55314yes—
1664C22C23×#4111yescharacteristic
1665C22C23×#4111yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×2−1+411yescharacteristic
1668C22C2×#58511yescharacteristic
1669C222−1+611yescharacteristic
1670C222−1+611yescharacteristic
1671C4—28no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—24no—
1676C4—41no—
1677C4—41no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—41no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—44no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—44no—
1699C4—44no—
1700C4C2×#55314yes—
1701C4C2×#55314yes—
1702C2—24no—
1703C2—44no—
1704C2—42no—
1705C2—81no—
1706C2C22×#55311yescharacteristic
1707C2#6280511yescharacteristic
1708C2#6286111yescharacteristic
1709C2#6294211yescharacteristic
1710C2#6295411yescharacteristic
1711C2#6299111yescharacteristic
1712C2#6299811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59695C2semidirect
2. #59694C2semidirect
3. #59582C2semidirect
4. #59575C2semidirect
5. #59210C2semidirect
6. #59209C2semidirect
7. #45342C2semidirect
8. #45220C2semidirect
9. #45184C2semidirect
10. #45173C2semidirect
11. #43515C2semidirect
12. #43059C2semidirect
13. #39058C2semidirect
14. #39053C2semidirect
15. #38217C2semidirect
16. #38215C2semidirect
17. #38128C2semidirect
18. #38122C2semidirect
19. #36382C2semidirect
20. #36278C2semidirect
21. #35674C2semidirect
24. #35585C2semidirect
25. #35316C2semidirect
26. #35313C2semidirect
27. #35311C2semidirect
28. #34814C2semidirect
29. C2×#2429C2semidirect
30. #34276C2semidirect
31. #34266C2semidirect
32. #34250C2semidirect
33. #34203C2semidirect
35. #34059C2semidirect
48. #2863C22semidirect
49. #2863C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
54. #2802C22semidirect
55. #2802C22semidirect
58. #2787C22semidirect
59. #2787C22semidirect
65. #2776C22semidirect
66. #2776C22semidirect
68. #2770C22semidirect
69. #2770C22semidirect
70. #2766C22semidirect
71. #2766C22semidirect
75. #2747C22semidirect
76. #2747C22semidirect
78. #2645C22semidirect
79. #2645C22semidirect
82. #2621C22semidirect
83. #2621C22semidirect
85. #2606C22semidirect
86. #2606C22semidirect
89. #2590C22semidirect
90. #2590C22semidirect
93. #2585C22semidirect
94. #2585C22semidirect
97. #2577C22semidirect
98. #2577C22semidirect
101. #2570C22semidirect
103. #2569C22semidirect
104. #2569C22semidirect
105. #2547C22semidirect
106. #2547C22semidirect
107. #2546C22semidirect
108. #2546C22semidirect
112. #2530C22semidirect
113. #2530C22semidirect
118. #2514C22semidirect
119. #2514C22semidirect
120. #2511C22semidirect
121. #2511C22semidirect
123. #2509C22semidirect
124. #2509C22semidirect
125. #2509C22semidirect
126. #2508C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2507C22semidirect
130. #2507C22semidirect
131. #2506C22semidirect
132. #2506C22semidirect
143. #2495C22semidirect
146. #2494C22semidirect
164. #2446C22semidirect
165. #2446C22semidirect
166. #2446C22semidirect
167. #2446C22semidirect
168. #2446C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
171. #2446C22semidirect
173. #2442C22semidirect
203. #2370C22semidirect
204. #2367C22semidirect
205. #2367C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
214. #2362C22semidirect
215. #2362C22semidirect
216. #2362C22semidirect
217. #2362C22semidirect
224. #2360C22semidirect
225. #2360C22semidirect
226. #2360C22semidirect
227. #2360C22semidirect
235. #2351C22semidirect
236. Q8×C4⋊C4C22semidirect
238. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
241. #2345C22semidirect
244. #2327C22semidirect
245. #2326C22semidirect
249. #2320C22semidirect
250. #2320C22semidirect
251. #2320C22semidirect
252. #2320C22semidirect
255. #2317C22semidirect
259. #2316C22semidirect
266. C4×C4⋊Q8C22semidirect
269. C4×#124C22semidirect
277. #2296C22semidirect
278. #2295C22semidirect
279. #2295C22semidirect
280. #2295C22semidirect
281. #2295C22semidirect
286. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
#596952
#596942
#595822
#595752
#592102
#592092
#453422
#452202
#451842
#451732
#435152
#430592
#390582
#390532
#382172
#382152
#381282
#381222
#363822
#362782
#356742
#356332
#355852
#353162
#353132
#353112
#348142
C2×#24292
#342762
#342662
#342502
#342032
#341362
#340592