Finite Group Databasebeta

← #7683790

Subgroups — #7683790

Order 512.

5232 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59920C212yesmaximal, complemented
2#59831C212yesmaximal, complemented
3#59664C212yesmaximal, complemented
4#59569C212yesmaximal, complemented
5#59453C214yesmaximal, complemented
6#59324C212yesmaximal, complemented
7#59323C212yesmaximal, complemented
8#59321C212yesmaximal, complemented
9#59314C212yesmaximal, complemented
10#59155C214yesmaximal, complemented
11#45413C212yesmaximal, complemented
12#45358C212yesmaximal, complemented
13#45275C212yesmaximal, complemented
14#45131C212yesmaximal, complemented
15#45025C212yesmaximal, complemented
16#44946C212yesmaximal, complemented
17#44942C212yesmaximal, complemented
18#44923C212yesmaximal, complemented
19#43128C214yesmaximal, complemented
20#43127C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35566C211yesmaximal, characteristic, complemented
24#35532C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28C2×#2506C211yesmaximal, characteristic, complemented
29#34745C211yesmaximal, characteristic, complemented
30#34274C211yesmaximal, characteristic
31#34267C211yesmaximal, characteristic
32#34267C211yesmaximal, characteristic
33#34250C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34183C211yesmaximal, characteristic, complemented
36C2×#554C2214yes—
37C2×#544C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#125C2212yes—
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2807C2214yes—
49#2805C2214yes—
50#2804C2214yes—
51#2802C2214yes—
52#2792C2214yes—
53#2791C2214yes—
54#2791C2214yes—
55#2790C2214yes—
56#2788C2214yes—
57#2788C2214yes—
58#2784C2214yes—
59#2780C2214yes—
60#2774C2214yes—
61#2763C2214yes—
62#2748C2214yes—
63#2748C2214yes—
64#2742C2214yes—
65#2729C2214yes—
66#2720C2214yes—
67#2720C2214yes—
68#2720C2214yes—
69#2704C2214yes—
70#2704C2214yes—
71#2692C2214yes—
72#2590C2214yes—
73#2589C2214yes—
74#2589C2214yes—
75#2587C2214yes—
76#2587C2214yes—
77#2587C2214yes—
78#2586C2214yes—
79#2586C2214yes—
80#2585C2214yes—
81#2584C2212yes—
82#2584C2214yes—
83#2584C2212yes—
84#2582C2212yes—
85#2582C2212yes—
86#2581C2212yes—
87#2581C2212yes—
88#2580C2212yes—
89#2580C2212yes—
90#2579C2214yes—
91#2574C2214yes—
92#2569C2214yes—
93#2568C2211yescharacteristic
94#2567C2212yes—
95#2567C2212yes—
96#2567C2211yescharacteristic
97#2566C2214yes—
98#2566C2212yes—
99#2566C2211yescharacteristic
100#2566C2211yescharacteristic
101#2565C2211yescharacteristic
102#2565C2211yescharacteristic
103#2565C2212yes—
104#2564C2212yes—
105#2564C2214yes—
106#2564C2212yes—
107#2563C2211yescharacteristic
108#2556C2214yes—
109#2556C2214yes—
110#2552C2214yes—
111#2552C2212yes—
112#2551C2212yes—
113#2550C2214yes—
114#2550C2212yes—
115#2550C2212yes—
116#2549C2214yes—
117#2546C2212yes—
118#2542C2211yescharacteristic
119#2542C2212yes—
120#2538C2212yes—
121#2538C2212yes—
122#2522C2214yes—
123#2522C2214yes—
124#2520C2214yes—
125#2511C2214yes—
126#2509C2212yes—
127#2509C2212yes—
128#2508C2212yes—
129#2508C2212yes—
130#2507C2212yes—
131#2507C2212yes—
132#2506C2212yes—
133#2506C2212yes—
134#2506C2212yes—
135#2506C2212yes—
136#2506C2212yes—
137#2506C2212yes—
138#2506C2212yes—
139#2506C2212yes—
140#2506C2212yes—
141#2506C2212yes—
142#2505C2214yes—
143#2502C2214yes—
144#2487C2214yes—
145#2473C2214yes—
146#2473C2214yes—
147#2473C2214yes—
148#2465C2214yes—
149#2454C2214yes—
150#2454C2214yes—
151#2454C2211yescharacteristic
152#2454C2212yes—
153#2454C2211yescharacteristic
154#2453C2211yescharacteristic
155#2453C2212yes—
156#2453C2211yescharacteristic
157#2452C2211yescharacteristic
158#2452C2212yes—
159#2452C2211yescharacteristic
160#2451C2212yes—
161#2451C2211yescharacteristic
162#2451C2211yescharacteristic
163#2450C2212yes—
164#2450C2214yes—
165#2450C2214yes—
166#2450C2214yes—
167#2450C2212yes—
168#2450C2214yes—
169#2449C2212yes—
170#2449C2214yes—
171#2449C2214yes—
172#2449C2214yes—
173#2449C2214yes—
174#2449C2214yes—
175#2449C2212yes—
176#2449C2214yes—
177#2442C2214yes—
178#2442C2212yes—
179#2442C2212yes—
180#2442C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2441C2212yes—
184#2441C2212yes—
185#2441C2212yes—
186#2440C2214yes—
187#2440C2212yes—
188#2440C2214yes—
189#2440C2212yes—
190#2440C2212yes—
191#2440C2212yes—
192#2440C2212yes—
193#2439C2212yes—
194#2439C2212yes—
195#2439C2212yes—
196#2423C2214yes—
197#2417C2212yes—
198#2417C2214yes—
199#2417C2212yes—
200#2396C2212yes—
201#2396C2212yes—
202#2396C2212yes—
203#2396C2212yes—
204C2×#400C2212yes—
205C2×#398C2212yes—
206#2370C2212yes—
207#2370C2214yes—
208#2370C2212yes—
209#2369C2212yes—
210#2368C2214yes—
211#2365C2212yes—
212#2364C2214yes—
213#2364C2214yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2361C2214yes—
223#2361C2214yes—
224#2361C2212yes—
225#2361C2212yes—
226#2361C2212yes—
227#2361C2212yes—
228#2360C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2355C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2351C2212yes—
236Q8×C4⋊C4C2212yes—
237Q8×C4⋊C4C2212yes—
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2212yes—
240#2349C2214yes—
241#2349C2212yes—
242D4×C4⋊C4C2214yes—
243D4×C4⋊C4C2214yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2214yes—
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248#2345C2214yes—
249#2329C2214yes—
250#2325C2214yes—
251#2324C2212yes—
252#2324C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2317C2211yescharacteristic
256#2317C2212yes—
257#2317C2212yes—
258#2317C2212yes—
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2212yes—
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2214yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×#121C2214yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2212yes—
283#2296C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2212yes—
286C2×#389C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#387C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2212yes—
293C2×#384C2212yes—
294C2×#384C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#554—416no—
302#544—44no—
303#537Q8116yescomplemented
304#533—28no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×#125—48no—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344#520—28no—
345#520—44no—
346#520—44no—
347#520—44no—
348C4×#41—28no—
349C4×#41—44no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C4⋊C4C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2312yes—
418C22×C42C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2312yes—
432#400C2314yes—
433#400C2314yes—
434#399C2312yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#399C2312yes—
442#399C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2312yes—
488#395C2312yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2312yes—
497#395C2314yes—
498#395C2314yes—
499#395C2312yes—
500#393C2312yes—
501#393C2312yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2314yes—
528#391C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2314yes—
541#390C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
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#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2314yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2314yes—
725#384C2314yes—
726#384C2312yes—
727#384C2312yes—
728#384C2314yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2314yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41C2×Q818yes—
827C2×#41C2×Q818yes—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—48no—
868#125—24no—
869#125—24no—
870#125—216no—
871#125—48no—
872#125—42no—
873#125—42no—
874#125—44no—
875#125—44no—
876#125—48no—
877#125—48no—
878#125—48no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—48no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—44no—
893C22⋊Q8C2×Q8116yes—
894C22⋊Q8C2×Q8116yes—
895#121C2×Q8116yes—
896#121C2×Q8116yes—
897#121C2×Q8132yes—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—28no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—48no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—216no—
916C4×D4—28no—
917C4×D4—48no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—48no—
924C4×D4—48no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—48no—
929C4×D4—48no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—28no—
936#117—28no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117#4118yes—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—48no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—48no—
959C2×C4⋊C4—48no—
960C2×C4⋊C4C2×Q818yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—28no—
1093C2×C42—44no—
1094C2×C42—44no—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2511yescharacteristic
1200#41—232no—
1201#41—232no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8C22×Q814yes—
1222C2×Q8C22×Q814yes—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4C22×Q818yes—
1234C2×D4C22×Q818yes—
1235C2×D4C22×Q814yes—
1236C2×D4C22×Q814yes—
1237C2×D4C22×Q8116yes—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4C22×Q818yes—
1296C22×C4C22×Q818yes—
1297C22×C4C22×Q818yes—
1298C22×C4C22×Q814yes—
1299C22×C4C2×#4114yes—
1300C22×C4H(5,𝔽2)14yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—44no—
1376C4⋊C4—41no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—41no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4C22×Q818yes—
1420C4⋊C4C22×Q818yes—
1421C4⋊C4C22×Q8116yes—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4C2×#4114yes—
1424C4⋊C4H(5,𝔽2)14yes—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4C22×Q8116yes—
1459C22⋊C4C22×Q8116yes—
1460C22⋊C4C2×#4118yes—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—28no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—28no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—42no—
1483C42—42no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42C2×#4118yes—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23C23×Q814yes—
1510C23C23×Q814yes—
1511C23C23×Q812yes—
1512C23C22×#4112yes—
1513C23C2×H(5,𝔽2)12yes—
1514C23C2611yescharacteristic
1515Q8—28no—
1516Q8—28no—
1517Q8—48no—
1518Q8—84no—
1519Q8—84no—
1520Q8—84no—
1521Q8—164no—
1522D4—216no—
1523D4—216no—
1524D4—28no—
1525D4—28no—
1526D4—416no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—216no—
1546C2×C4—216no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—48no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—88no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—82no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—82no—
1624C2×C4—84no—
1625C2×C4—164no—
1626C2×C4—164no—
1627C2×C4—164no—
1628C2×C4#554116yescomplemented
1629C2×C4C23×Q818yes—
1630C2×C4C23×Q814yes—
1631C2×C4C23×Q814yes—
1632C2×C4C23×Q812yes—
1633C2×C4C23×Q812yes—
1634C2×C4C22×#4114yes—
1635C2×C4C22×#4114yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4#58512yes—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22C2×#55414yes—
1665C22C24×Q811yescharacteristic
1666C22C23×#4111yescharacteristic
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×H(5,𝔽2)11yescharacteristic
1669C22C2×#58511yescharacteristic
1670C222−1+611yescharacteristic
1671C222−1+611yescharacteristic
1672C4—28no—
1673C4—22no—
1674C4—24no—
1675C4—22no—
1676C4—22no—
1677C4—24no—
1678C4—22no—
1679C4—24no—
1680C4—24no—
1681C4—41no—
1682C4—41no—
1683C4—44no—
1684C4—42no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—41no—
1690C4—42no—
1691C4—44no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4C2×#55414yes—
1703C4C2×#55414yes—
1704C2—24no—
1705C2—44no—
1706C2—44no—
1707C2C22×#55411yescharacteristic
1708C2#6283411yescharacteristic
1709C2#6288811yescharacteristic
1710C2Q8×H(5,𝔽2)11yescharacteristic
1711C2#6298511yescharacteristic
1712C2#6299311yescharacteristic
1713C2#6300411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59920C2semidirect
2. #59831C2semidirect
3. #59664C2semidirect
4. #59569C2semidirect
5. #59453C2semidirect
6. #59324C2semidirect
7. #59323C2semidirect
8. #59321C2semidirect
9. #59314C2semidirect
10. #59155C2semidirect
11. #45413C2semidirect
12. #45358C2semidirect
13. #45275C2semidirect
14. #45131C2semidirect
15. #45025C2semidirect
16. #44946C2semidirect
17. #44942C2semidirect
18. #44923C2semidirect
19. #43128C2semidirect
20. #43127C2semidirect
21. #35585C2semidirect
22. #35575C2semidirect
23. #35566C2semidirect
24. #35532C2semidirect
25. #35519C2semidirect
26. #35519C2semidirect
27. #34947C2semidirect
28. C2×#2506C2semidirect
29. #34745C2semidirect
33. #34250C2semidirect
34. #34213C2semidirect
35. #34183C2semidirect
303. #537Q8semidirect
1628. C2×C4#554semidirect

Maximal subgroups

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

subgroupindex
#599202
#598312
#596642
#595692
#594532
#593242
#593232
#593212
#593142
#591552
#454132
#453582
#452752
#451312
#450252
#449462
#449422
#449232
#431282
#431272
#355852
#355752
#355662
#355322
#355192
#349472
C2×#25062
#347452
#342742
#342672
#342502
#342132
#341832