Finite Group Databasebeta

← #7683811

Subgroups — #7683811

Order 512.

4848 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59922C212yesmaximal, complemented
2#59868C212yesmaximal, complemented
3#59756C212yesmaximal, complemented
4#59664C212yesmaximal, complemented
5#59467C212yesmaximal, complemented
6#59464C212yesmaximal, complemented
7#59463C212yesmaximal, complemented
8#59462C212yesmaximal, complemented
9#59319C214yesmaximal, complemented
10#59291C214yesmaximal, complemented
11#45413C212yesmaximal, complemented
12#45405C212yesmaximal, complemented
13#45278C212yesmaximal, complemented
14#45278C212yesmaximal, complemented
15#45233C212yesmaximal, complemented
16#45190C212yesmaximal, complemented
17#45180C212yesmaximal, complemented
18#45086C212yesmaximal, complemented
19#44463C214yesmaximal, complemented
20#43937C214yesmaximal, complemented
21#35668C211yesmaximal, characteristic, complemented
22#35662C211yesmaximal, characteristic, complemented
23#35639C211yesmaximal, characteristic
24#35575C211yesmaximal, characteristic
25#35566C211yesmaximal, characteristic, complemented
26#35543C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic
28#34815C211yesmaximal, characteristic, complemented
29C2×#2453C211yesmaximal, characteristic, complemented
30#34276C211yesmaximal, characteristic
31#34268C211yesmaximal, characteristic
32#34266C211yesmaximal, characteristic
33#34250C211yesmaximal, characteristic
34#34217C211yesmaximal, characteristic, complemented
35#34182C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46#2807C2214yes—
47#2807C2214yes—
48#2805C2214yes—
49#2805C2214yes—
50#2802C2214yes—
51#2802C2214yes—
52#2792C2214yes—
53#2792C2214yes—
54#2791C2214yes—
55#2791C2214yes—
56#2790C2214yes—
57#2790C2214yes—
58#2788C2214yes—
59#2774C2214yes—
60#2774C2214yes—
61#2774C2214yes—
62#2774C2214yes—
63#2768C2214yes—
64#2768C2214yes—
65#2768C2214yes—
66#2742C2214yes—
67#2742C2214yes—
68#2729C2214yes—
69#2720C2214yes—
70#2590C2214yes—
71#2590C2214yes—
72#2590C2214yes—
73#2590C2214yes—
74#2589C2214yes—
75#2589C2214yes—
76#2588C2214yes—
77#2588C2214yes—
78#2587C2214yes—
79#2587C2214yes—
80#2585C2214yes—
81#2585C2214yes—
82#2584C2212yes—
83#2584C2212yes—
84#2583C2214yes—
85#2582C2212yes—
86#2582C2212yes—
87#2581C2212yes—
88#2581C2212yes—
89#2579C2214yes—
90#2574C2214yes—
91#2574C2214yes—
92#2571C2212yes—
93#2570C2212yes—
94#2570C2212yes—
95#2568C2212yes—
96#2568C2211yescharacteristic
97#2567C2212yes—
98#2567C2212yes—
99#2567C2211yescharacteristic
100#2566C2211yescharacteristic
101#2566C2211yescharacteristic
102#2565C2212yes—
103#2565C2211yescharacteristic
104#2565C2212yes—
105#2565C2211yescharacteristic
106#2564C2212yes—
107#2564C2212yes—
108#2564C2214yes—
109#2563C2211yescharacteristic
110#2556C2214yes—
111#2556C2214yes—
112#2552C2212yes—
113#2552C2214yes—
114#2552C2212yes—
115#2551C2212yes—
116#2550C2214yes—
117#2550C2212yes—
118#2550C2212yes—
119#2549C2214yes—
120#2546C2212yes—
121#2542C2211yescharacteristic
122#2522C2214yes—
123#2522C2214yes—
124#2520C2214yes—
125#2520C2214yes—
126#2509C2211yescharacteristic
127#2509C2214yes—
128#2509C2214yes—
129#2509C2211yescharacteristic
130#2509C2212yes—
131#2508C2212yes—
132#2508C2214yes—
133#2508C2211yescharacteristic
134#2508C2211yescharacteristic
135#2507C2212yes—
136#2507C2214yes—
137#2507C2211yescharacteristic
138#2507C2211yescharacteristic
139#2507C2214yes—
140#2507C2214yes—
141#2506C2211yescharacteristic
142#2506C2211yescharacteristic
143#2506C2212yes—
144#2505C2214yes—
145#2505C2214yes—
146#2505C2214yes—
147#2505C2212yes—
148#2505C2214yes—
149#2505C2212yes—
150#2497C2214yes—
151#2497C2214yes—
152#2487C2214yes—
153#2473C2214yes—
154#2473C2212yes—
155#2473C2214yes—
156#2473C2212yes—
157#2454C2212yes—
158#2454C2212yes—
159#2454C2212yes—
160#2453C2212yes—
161#2453C2212yes—
162#2453C2212yes—
163#2453C2212yes—
164#2453C2212yes—
165#2453C2212yes—
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2453C2212yes—
174#2453C2212yes—
175#2452C2212yes—
176#2451C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2442C2212yes—
182#2442C2212yes—
183#2442C2212yes—
184#2441C2212yes—
185#2441C2212yes—
186#2441C2212yes—
187#2440C2214yes—
188#2440C2212yes—
189#2440C2214yes—
190#2439C2212yes—
191#2438C2214yes—
192#2438C2214yes—
193#2438C2214yes—
194#2438C2214yes—
195#2417C2212yes—
196#2417C2212yes—
197#2417C2214yes—
198#2402C2212yes—
199#2402C2212yes—
200#2396C2212yes—
201#2396C2212yes—
202C2×#400C2212yes—
203C2×#398C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2214yes—
207#2370C2212yes—
208#2370C2212yes—
209#2369C2214yes—
210#2368C2214yes—
211#2367C2212yes—
212#2367C2212yes—
213#2367C2212yes—
214#2367C2212yes—
215#2365C2212yes—
216#2365C2212yes—
217#2365C2212yes—
218#2365C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2360C2212yes—
224#2360C2212yes—
225#2360C2212yes—
226#2360C2212yes—
227#2359C2214yes—
228#2359C2214yes—
229#2359C2214yes—
230#2359C2214yes—
231#2351C2212yes—
232#2351C2212yes—
233#2351C2212yes—
234#2351C2212yes—
235#2351C2212yes—
236Q8×C4⋊C4C2212yes—
237Q8×C4⋊C4C2212yes—
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2212yes—
240Q8×C4⋊C4C2212yes—
241#2349C2212yes—
242#2349C2214yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2214yes—
245#2345C2214yes—
246#2345C2214yes—
247#2345C2214yes—
248#2330C2212yes—
249#2330C2212yes—
250#2327C2212yes—
251#2326C2212yes—
252#2323C2212yes—
253#2323C2212yes—
254#2322C2214yes—
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2212yes—
258#2317C2211yescharacteristic
259#2316C2211yescharacteristic
260#2316C2211yescharacteristic
261#2316C2212yes—
262#2316C2214yes—
263#2316C2211yescharacteristic
264#2311C2211yescharacteristic
265#2310C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2214yes—
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2296C2212yes—
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#389C2212yes—
287C2×#389C2212yes—
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#387C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2214yes—
294#2285C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#544—44no—
302#536Q8116yescomplemented
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×#125—28no—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332#520—28no—
333#520—44no—
334#519—44no—
335#519—44no—
336C4×#41—44no—
337C2×C4×Q8—28no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#399C2312yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#396C2312yes—
461#396C2312yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#395C2312yes—
469#395C2312yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#393C2312yes—
480#393C2312yes—
481#393C2314yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2311yescharacteristic
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
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#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2314yes—
705#384C2312yes—
706#384C2314yes—
707#384C2311yescharacteristic
708#384C2314yes—
709#384C2311yescharacteristic
710#384C2314yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2314yes—
726#381C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C43C2312yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41C2×Q818yes—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8C2×Q818yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—42no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—48no—
855C4⋊Q8C2×Q8116yes—
856#125—28no—
857#125—28no—
858#125—28no—
859#125—28no—
860#125—42no—
861#125—42no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—48no—
866#125—44no—
867#124C2×Q8116yes—
868#123C2×Q8132yes—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—48no—
872C22⋊Q8—44no—
873C22⋊Q8—48no—
874C22⋊Q8—44no—
875C22⋊Q8C2×Q8116yes—
876C22⋊Q8C2×Q8116yes—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×Q8—42no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—48no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—28no—
910#117—44no—
911#117—48no—
912#117—48no—
913#117—44no—
914#117C2×Q818yes—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—48no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4#4118yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C42—28no—
1049C2×C42—24no—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—44no—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174#41—232no—
1175C2×Q8—232no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8C22×Q818yes—
1192C2×Q8C22×Q818yes—
1193C2×Q8C22×Q814yes—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4C22×Q818yes—
1199C2×D4C22×Q814yes—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—42no—
1217C22×C4—41no—
1218C22×C4—42no—
1219C22×C4—41no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4C22×Q818yes—
1243C22×C4C22×Q818yes—
1244C22×C4C22×Q814yes—
1245C22×C4C2×#4118yes—
1246C22×C4C2×#4114yes—
1247C22×C4H(5,𝔽2)14yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—44no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4C22×Q814yes—
1373C4⋊C4C22×Q814yes—
1374C4⋊C4C22×Q8116yes—
1375C4⋊C4C22×Q8116yes—
1376C4⋊C4C2×#4118yes—
1377C4⋊C4C2×#4118yes—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4C22×Q818yes—
1399C22⋊C4C22×Q8116yes—
1400C22⋊C4C22×Q8116yes—
1401C42—28no—
1402C42—22no—
1403C42—22no—
1404C42—28no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—28no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—42no—
1436C42—44no—
1437C42C22×Q818yes—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23C23×Q814yes—
1449C23C23×Q812yes—
1450C23C22×#4112yes—
1451C23C2×H(5,𝔽2)12yes—
1452C23C2611yescharacteristic
1453Q8—216no—
1454Q8—216no—
1455Q8—28no—
1456Q8—84no—
1457Q8—84no—
1458Q8—164no—
1459D4—216no—
1460D4—28no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—216no—
1476C2×C4—216no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—48no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—82no—
1555C2×C4—82no—
1556C2×C4—82no—
1557C2×C4—84no—
1558C2×C4—84no—
1559C2×C4—82no—
1560C2×C4—84no—
1561C2×C4—164no—
1562C2×C4#554116yes—
1563C2×C4C23×Q814yes—
1564C2×C4C23×Q814yes—
1565C2×C4C23×Q818yes—
1566C2×C4C23×Q814yes—
1567C2×C4C23×Q812yes—
1568C2×C4C23×Q812yes—
1569C2×C4C22×#4118yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4#58512yes—
1575C2×C4#58512yes—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22C2×#55414yes—
1590C22C24×Q811yescharacteristic
1591C22C23×#4111yescharacteristic
1592C22C22×H(5,𝔽2)11yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C222−1+611yescharacteristic
1596C222−1+611yescharacteristic
1597C4—28no—
1598C4—24no—
1599C4—24no—
1600C4—22no—
1601C4—22no—
1602C4—24no—
1603C4—28no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—44no—
1614C4—41no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—41no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4C2×#55414yes—
1629C4C2×#55414yes—
1630C2—24no—
1631C2—44no—
1632C2C22×#55411yescharacteristic
1633C2#6283011yescharacteristic
1634C2#6288811yescharacteristic
1635C2#6299111yescharacteristic
1636C2#6300411yescharacteristic
1637C2#6300411yescharacteristic
1638C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59922C2semidirect
2. #59868C2semidirect
3. #59756C2semidirect
4. #59664C2semidirect
5. #59467C2semidirect
6. #59464C2semidirect
7. #59463C2semidirect
8. #59462C2semidirect
9. #59319C2semidirect
10. #59291C2semidirect
11. #45413C2semidirect
12. #45405C2semidirect
13. #45278C2semidirect
14. #45278C2semidirect
15. #45233C2semidirect
16. #45190C2semidirect
17. #45180C2semidirect
18. #45086C2semidirect
19. #44463C2semidirect
20. #43937C2semidirect
21. #35668C2semidirect
22. #35662C2semidirect
25. #35566C2semidirect
26. #35543C2semidirect
28. #34815C2semidirect
29. C2×#2453C2semidirect
34. #34217C2semidirect
35. #34182C2semidirect
302. #536Q8semidirect

Maximal subgroups

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

subgroupindex
#599222
#598682
#597562
#596642
#594672
#594642
#594632
#594622
#593192
#592912
#454132
#454052
#452782
#452332
#451902
#451802
#450862
#444632
#439372
#356682
#356622
#356392
#355752
#355662
#355432
#349472
#348152
C2×#24532
#342762
#342682
#342662
#342502
#342172
#341822