Finite Group Databasebeta

← #7683819

Subgroups — #7683819

Order 512.

5422 conjugacy classes of subgroups.

The subgroup lattice has 1789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59857C212yesmaximal, complemented
2#59826C212yesmaximal, complemented
3#59753C212yesmaximal, complemented
4#59697C212yesmaximal, complemented
5#59695C212yesmaximal, complemented
6#59693C212yesmaximal, complemented
7#59691C212yesmaximal, complemented
8#59675C214yesmaximal, complemented
9#59441C212yesmaximal, complemented
10#59139C214yesmaximal, complemented
11#45398C212yesmaximal, complemented
12#45372C212yesmaximal, complemented
13#45285C212yesmaximal, complemented
14#45220C212yesmaximal, complemented
15#45068C212yesmaximal, complemented
16#45000C212yesmaximal, complemented
17#44977C212yesmaximal, complemented
18#44976C212yesmaximal, complemented
19#43155C214yesmaximal, complemented
20#43154C214yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35564C211yesmaximal, characteristic, complemented
24#35545C211yesmaximal, characteristic, complemented
25#35530C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#34937C211yesmaximal, characteristic, complemented
28#34816C211yesmaximal, characteristic, complemented
29C2×#2506C211yesmaximal, characteristic, complemented
30#34274C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34250C211yesmaximal, characteristic, complemented
34#34207C211yesmaximal, characteristic, complemented
35#34206C211yesmaximal, characteristic, complemented
36C2×#553C2214yes—
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×#125C2212yes—
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×#520C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic
50#2803C2214yes—
51#2797C2214yes—
52#2790C2214yes—
53#2787C2214yes—
54#2786C2214yes—
55#2782C2214yes—
56#2779C2214yes—
57#2778C2214yes—
58#2777C2214yes—
59#2770C2214yes—
60#2766C2214yes—
61#2765C2214yes—
62#2757C2214yes—
63#2756C2214yes—
64#2753C2214yes—
65#2747C2214yes—
66#2746C2214yes—
67#2725C2214yes—
68#2725C2214yes—
69#2718C2214yes—
70#2711C2214yes—
71#2711C2214yes—
72#2703C2214yes—
73#2701C2214yes—
74#2606C2214yes—
75#2603C2214yes—
76#2598C2214yes—
77#2597C2214yes—
78#2597C2214yes—
79#2596C2214yes—
80#2595C2214yes—
81#2594C2214yes—
82#2593C2214yes—
83#2590C2214yes—
84#2579C2214yes—
85#2578C2214yes—
86#2576C2214yes—
87#2566C2214yes—
88#2562C2214yes—
89#2558C2214yes—
90#2558C2214yes—
91#2548C2211yescharacteristic
92#2547C2211yescharacteristic
93#2546C2211yescharacteristic
94#2545C2211yescharacteristic
95#2545C2211yescharacteristic
96#2544C2211yescharacteristic
97#2544C2211yescharacteristic
98#2543C2212yes—
99#2543C2214yes—
100#2543C2214yes—
101#2543C2212yes—
102#2543C2214yes—
103#2541C2211yescharacteristic
104#2529C2214yes—
105#2525C2214yes—
106#2525C2214yes—
107#2522C2214yes—
108#2514C2211yescharacteristic
109#2514C2211yescharacteristic
110#2514C2212yes—
111#2513C2211yescharacteristic
112#2513C2211yescharacteristic
113#2513C2212yes—
114#2512C2211yescharacteristic
115#2512C2211yescharacteristic
116#2512C2212yes—
117#2511C2211yescharacteristic
118#2511C2211yescharacteristic
119#2511C2212yes—
120#2510C2212yes—
121#2510C2212yes—
122#2510C2214yes—
123#2510C2214yes—
124#2506C2212yes—
125#2506C2212yes—
126#2506C2212yes—
127#2506C2212yes—
128#2506C2212yes—
129#2506C2212yes—
130#2506C2212yes—
131#2506C2212yes—
132#2502C2212yes—
133#2501C2212yes—
134#2500C2212yes—
135#2499C2212yes—
136#2497C2212yes—
137#2496C2212yes—
138#2495C2212yes—
139#2494C2212yes—
140#2490C2214yes—
141#2490C2214yes—
142#2487C2212yes—
143#2486C2212yes—
144#2485C2212yes—
145#2485C2212yes—
146#2481C2212yes—
147#2481C2212yes—
148#2481C2214yes—
149#2470C2214yes—
150#2467C2214yes—
151#2466C2214yes—
152#2464C2214yes—
153#2460C2214yes—
154#2460C2214yes—
155#2456C2214yes—
156#2448C2212yes—
157#2447C2212yes—
158#2446C2212yes—
159#2445C2212yes—
160#2444C2214yes—
161#2444C2214yes—
162#2444C2214yes—
163#2443C2214yes—
164#2443C2214yes—
165#2443C2214yes—
166#2443C2214yes—
167#2442C2214yes—
168#2441C2214yes—
169#2429C2212yes—
170#2429C2212yes—
171#2429C2212yes—
172#2428C2212yes—
173#2428C2212yes—
174#2428C2212yes—
175#2427C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2426C2212yes—
179#2426C2212yes—
180#2426C2212yes—
181#2423C2212yes—
182#2423C2212yes—
183#2422C2212yes—
184#2422C2212yes—
185#2417C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2416C2212yes—
189#2416C2214yes—
190#2416C2214yes—
191#2416C2214yes—
192#2416C2212yes—
193#2416C2212yes—
194#2416C2212yes—
195#2416C2212yes—
196#2415C2212yes—
197#2415C2212yes—
198#2415C2212yes—
199#2414C2212yes—
200#2414C2212yes—
201#2414C2212yes—
202#2401C2212yes—
203#2401C2212yes—
204C2×#400C2212yes—
205#2392C2212yes—
206#2392C2212yes—
207C2×#398C2212yes—
208#2374C2214yes—
209#2370C2214yes—
210#2367C2212yes—
211#2367C2212yes—
212#2366C2212yes—
213#2365C2212yes—
214#2364C2214yes—
215#2363C2212yes—
216#2363C2212yes—
217#2363C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2361C2214yes—
222#2361C2214yes—
223#2361C2214yes—
224#2361C2212yes—
225#2361C2212yes—
226#2361C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2360C2212yes—
230#2354C2212yes—
231#2354C2212yes—
232#2354C2212yes—
233#2353C2214yes—
234#2353C2214yes—
235#2352C2214yes—
236#2352C2212yes—
237#2352C2212yes—
238#2351C2212yes—
239Q8×C4⋊C4C2212yes—
240#2349C2212yes—
241#2349C2214yes—
242D4×C4⋊C4C2214yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2212yes—
247#2347C2212yes—
248#2346C2212yes—
249#2345C2212yes—
250#2344C2212yes—
251#2326C2212yes—
252#2326C2212yes—
253#2325C2214yes—
254#2325C2214yes—
255#2324C2212yes—
256#2323C2212yes—
257#2320C2212yes—
258#2319C2212yes—
259#2317C2212yes—
260#2317C2211yescharacteristic
261#2316C2212yes—
262#2316C2211yescharacteristic
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×#127C2212yes—
270C4×#126C2212yes—
271C4×#126C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×#121C2214yes—
274C4×#121C2214yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yes—
285#2295C2212yes—
286#2293C2212yes—
287C2×#389C2212yes—
288C2×#389C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#387C2212yes—
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303#553—416no—
304#537—28no—
305#537—28no—
306#537—44no—
307#532—28no—
308#532—28no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125—48no—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359#520—28no—
360#520—28no—
361#520—44no—
362#520—44no—
363#520—44no—
364C4×#41—44no—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2314yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2312yes—
431#401C2312yes—
432#401C2314yes—
433#401C2312yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2314yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2311yescharacteristic
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
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#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
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#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#384C2312yes—
722#384C2314yes—
723#384C2312yes—
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#383C2312yes—
730#383C2312yes—
731#383C2314yes—
732#383C2314yes—
733#382C2314yes—
734#382C2314yes—
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#381C2314yes—
739#381C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2314yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2311yescharacteristic
823C43C2312yes—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41#4118yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C4⋊Q8—24no—
880C4⋊Q8—24no—
881C4⋊Q8—42no—
882#127—24no—
883#127—24no—
884#127—42no—
885#126—28no—
886#126—44no—
887#126—48no—
888#125—216no—
889#125—48no—
890#125—48no—
891#125—48no—
892#124—24no—
893#124—24no—
894#124—24no—
895#124—24no—
896#124—42no—
897#124—42no—
898#123—48no—
899#123—48no—
900#123—48no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907#121—28no—
908#121—28no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—216no—
913#121—28no—
914#121—216no—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—44no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—48no—
927C4×Q8—28no—
928C4×Q8—28no—
929C4×Q8—42no—
930C4×Q8—42no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×D4—216no—
935C4×D4—216no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—48no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—28no—
964#117—28no—
965#117—44no—
966#117—48no—
967#117—44no—
968#117—44no—
969#117—44no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—28no—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—48no—
987C2×C4⋊C4#4118yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C42—24no—
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—44no—
1115C2×C42—44no—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2414yes—
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2512yes—
1216C24C2512yes—
1217C24C2511yescharacteristic
1218#41—232no—
1219#41—416no—
1220#41—416no—
1221#41—416no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8C2×#4114yes—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—28no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4C2×#4118yes—
1284C2×D4C2×#4114yes—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—28no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—42no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4C2×#4118yes—
1347C22×C4C2×#4118yes—
1348C22×C4C2×#4114yes—
1349C22×C4C2×#4114yes—
1350C22×C4H(5,𝔽2)14yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2514yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—28no—
1384C4⋊C4—28no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—28no—
1409C4⋊C4—28no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4C2×#4118yes—
1443C4⋊C4C2×#4118yes—
1444C4⋊C4H(5,𝔽2)14yes—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—28no—
1513C42—28no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—24no—
1521C42—28no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—42no—
1526C42—42no—
1527C42—44no—
1528C42—42no—
1529C42—42no—
1530C42—44no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—44no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23C22×#4114yes—
1567C23C22×#4112yes—
1568C23C22×#4112yes—
1569C23C2×H(5,𝔽2)12yes—
1570C23C2611yescharacteristic
1571Q8—28no—
1572Q8—44no—
1573Q8—44no—
1574Q8—44no—
1575D4—216no—
1576D4—28no—
1577D4—48no—
1578D4—48no—
1579D4—48no—
1580D4—48no—
1581D4—48no—
1582D4—48no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—88no—
1587D4—84no—
1588D4—88no—
1589D4—84no—
1590D4—84no—
1591D4—164no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—216no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—24no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—48no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—88no—
1680C2×C4—88no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—82no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—82no—
1687C2×C4—84no—
1688C2×C4—164no—
1689C2×C4—164no—
1690C2×C4—164no—
1691C2×C4#553116yescomplemented
1692C2×C4C22×#4118yes—
1693C2×C4C22×#4114yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4112yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4#58512yes—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—24no—
1711C22—24no—
1712C22—24no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22C2×#55314yes—
1739C22C23×#4111yescharacteristic
1740C22C23×#4111yescharacteristic
1741C22C22×H(5,𝔽2)11yescharacteristic
1742C22C22×H(5,𝔽2)11yescharacteristic
1743C22C2×#58511yescharacteristic
1744C222−1+611yescharacteristic
1745C222−1+611yescharacteristic
1746C4—28no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—22no—
1751C4—24no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—41no—
1756C4—44no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—42no—
1761C4—42no—
1762C4—41no—
1763C4—42no—
1764C4—44no—
1765C4—44no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—41no—
1770C4—41no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4C2×#55314yes—
1775C4C2×#55314yes—
1776C2—24no—
1777C2—44no—
1778C2—82no—
1779C2—82no—
1780C2—82no—
1781C2C22×#55311yescharacteristic
1782C2#6283411yescharacteristic
1783C2#6288811yescharacteristic
1784C2#6298411yescharacteristic
1785C2#6298511yescharacteristic
1786C2#6299311yescharacteristic
1787C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59857C2semidirect
2. #59826C2semidirect
3. #59753C2semidirect
4. #59697C2semidirect
5. #59695C2semidirect
6. #59693C2semidirect
7. #59691C2semidirect
8. #59675C2semidirect
9. #59441C2semidirect
10. #59139C2semidirect
11. #45398C2semidirect
12. #45372C2semidirect
13. #45285C2semidirect
14. #45220C2semidirect
15. #45068C2semidirect
16. #45000C2semidirect
17. #44977C2semidirect
18. #44976C2semidirect
19. #43155C2semidirect
20. #43154C2semidirect
21. #35564C2semidirect
22. #35564C2semidirect
23. #35564C2semidirect
24. #35545C2semidirect
25. #35530C2semidirect
26. #35517C2semidirect
27. #34937C2semidirect
28. #34816C2semidirect
29. C2×#2506C2semidirect
30. #34274C2semidirect
31. #34267C2semidirect
32. #34253C2semidirect
33. #34250C2semidirect
34. #34207C2semidirect
35. #34206C2semidirect
1691. C2×C4#553semidirect

Maximal subgroups

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

subgroupindex
#598572
#598262
#597532
#596972
#596952
#596932
#596912
#596752
#594412
#591392
#453982
#453722
#452852
#452202
#450682
#450002
#449772
#449762
#431552
#431542
#355642
#355452
#355302
#355172
#349372
#348162
C2×#25062
#342742
#342672
#342532
#342502
#342072
#342062