Finite Group Databasebeta

← #7689401

Subgroups — #7689401

Order 512.

5304 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59960C212yesmaximal, complemented
2#59721C214yesmaximal, complemented
3#59717C212yesmaximal, complemented
4#59647C211yesmaximal, characteristic, complemented
5#59394C212yesmaximal, complemented
6#59282C212yesmaximal, complemented
7#59245C211yesmaximal, characteristic, complemented
8#59219C211yesmaximal, characteristic, complemented
9#45236C212yesmaximal, complemented
10#45024C212yesmaximal, complemented
11#44626C214yesmaximal, complemented
12#43473C214yesmaximal, complemented
13#40153C212yesmaximal, complemented
14#40145C212yesmaximal, complemented
15#39341C211yesmaximal, characteristic, complemented
16#38967C211yesmaximal, characteristic, complemented
17#38865C214yesmaximal, complemented
18#37975C212yesmaximal, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36588C212yesmaximal, complemented
21#36587C211yesmaximal, characteristic, complemented
22#36463C212yesmaximal, complemented
23#36410C211yesmaximal, characteristic, complemented
24#36373C212yesmaximal, complemented
25#36273C211yesmaximal, characteristic, complemented
26#36211C211yesmaximal, characteristic, complemented
27#36011C212yesmaximal, complemented
28#35756C212yesmaximal, complemented
29#34970C212yesmaximal, complemented
30#34715C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34274C212yesmaximal, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#552C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#537C2212yes—
40C2×#532C2211yescharacteristic
41C2×#520C2212yes—
42C2×#520C2212yes—
43C2×C4×#41C2211yescharacteristic
44#2861C2212yes—
45#2859C2211yescharacteristic
46#2858C2212yes—
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2854C2214yes—
51#2850C2212yes—
52#2800C2214yes—
53#2797C2214yes—
54#2788C2214yes—
55#2788C2214yes—
56#2778C2214yes—
57#2765C2214yes—
58#2765C2214yes—
59#2760C2214yes—
60#2759C2214yes—
61#2752C2214yes—
62#2751C2214yes—
63#2749C2214yes—
64#2749C2214yes—
65#2742C2214yes—
66#2714C2214yes—
67#2703C2214yes—
68#2703C2214yes—
69#2703C2214yes—
70#2690C2214yes—
71#2676C2214yes—
72#2675C2214yes—
73#2635C2214yes—
74#2631C2214yes—
75#2628C2212yes—
76#2615C2212yes—
77#2610C2214yes—
78#2610C2214yes—
79#2602C2214yes—
80#2600C2214yes—
81#2599C2214yes—
82#2597C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2594C2214yes—
86#2593C2214yes—
87#2592C2214yes—
88#2591C2214yes—
89#2588C2214yes—
90#2582C2211yescharacteristic
91#2578C2214yes—
92#2573C2214yes—
93#2571C2211yescharacteristic
94#2568C2212yes—
95#2563C2212yes—
96#2560C2214yes—
97#2557C2214yes—
98#2557C2214yes—
99#2555C2214yes—
100#2551C2211yescharacteristic
101#2550C2212yes—
102#2548C2211yescharacteristic
103#2544C2212yes—
104#2541C2212yes—
105#2541C2211yescharacteristic
106#2538C2211yescharacteristic
107#2536C2212yes—
108#2535C2212yes—
109#2531C2214yes—
110#2530C2214yes—
111#2527C2214yes—
112#2526C2214yes—
113#2526C2214yes—
114#2525C2214yes—
115#2523C2214yes—
116#2514C2212yes—
117#2513C2212yes—
118#2513C2212yes—
119#2513C2212yes—
120#2513C2212yes—
121#2513C2212yes—
122#2513C2212yes—
123#2511C2212yes—
124#2510C2214yes—
125#2509C2212yes—
126#2509C2212yes—
127#2507C2212yes—
128#2504C2212yes—
129#2504C2212yes—
130#2497C2212yes—
131#2494C2212yes—
132#2494C2212yes—
133#2494C2212yes—
134#2492C2212yes—
135#2491C2212yes—
136#2491C2212yes—
137#2490C2212yes—
138#2490C2212yes—
139#2490C2214yes—
140#2490C2212yes—
141#2486C2212yes—
142#2484C2214yes—
143#2476C2214yes—
144#2476C2214yes—
145#2476C2214yes—
146#2476C2212yes—
147#2474C2214yes—
148#2474C2214yes—
149#2474C2212yes—
150#2471C2214yes—
151#2470C2214yes—
152#2464C2214yes—
153#2459C2214yes—
154#2459C2212yes—
155#2459C2214yes—
156#2459C2214yes—
157#2459C2214yes—
158#2456C2214yes—
159#2456C2214yes—
160#2456C2212yes—
161#2454C2212yes—
162#2452C2212yes—
163#2451C2211yescharacteristic
164#2447C2212yes—
165#2447C2212yes—
166#2445C2212yes—
167#2445C2211yescharacteristic
168#2444C2214yes—
169#2444C2214yes—
170#2442C2212yes—
171#2439C2212yes—
172#2439C2211yescharacteristic
173#2439C2212yes—
174#2431C2212yes—
175#2431C2211yescharacteristic
176#2428C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2426C2211yescharacteristic
180#2422C2212yes—
181#2421C2212yes—
182#2420C2212yes—
183#2420C2214yes—
184#2420C2212yes—
185#2420C2212yes—
186#2420C2211yescharacteristic
187#2416C2212yes—
188#2414C2211yescharacteristic
189#2414C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2211yescharacteristic
196#2395C2214yes—
197#2392C2214yes—
198#2392C2212yes—
199#2388C2212yes—
200#2373C2212yes—
201#2372C2214yes—
202#2371C2212yes—
203#2370C2211yescharacteristic
204#2369C2212yes—
205#2367C2212yes—
206#2367C2214yes—
207#2366C2212yes—
208#2366C2212yes—
209#2366C2211yescharacteristic
210#2366C2212yes—
211#2365C2212yes—
212#2363C2212yes—
213#2363C2214yes—
214#2363C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2362C2214yes—
218#2362C2212yes—
219#2362C2211yescharacteristic
220#2362C2212yes—
221#2361C2214yes—
222#2361C2214yes—
223#2361C2212yes—
224#2361C2212yes—
225#2361C2212yes—
226#2360C2214yes—
227#2360C2212yes—
228#2360C2211yescharacteristic
229#2359C2212yes—
230#2357C2212yes—
231#2357C2212yes—
232#2357C2212yes—
233#2356C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2352C2212yes—
239#2352C2212yes—
240#2352C2211yescharacteristic
241#2352C2212yes—
242#2352C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248#2347C2212yes—
249#2347C2212yes—
250#2346C2211yescharacteristic
251#2344C2211yescharacteristic
252#2343C2214yes—
253#2343C2212yes—
254#2341C2212yes—
255#2339C2212yes—
256#2325C2214yes—
257#2325C2214yes—
258#2325C2214yes—
259#2324C2214yes—
260#2324C2212yes—
261#2316C2212yes—
262#2311C2212yes—
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#124C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×#123C2212yes—
274C4×#123C2214yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2214yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2214yes—
282#2297C2212yes—
283#2297C2212yes—
284#2295C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2290C2214yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#555—48no—
303#552—28no—
304#550—28no—
305#537—216no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#126C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2311yescharacteristic
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C2×#121C2312yes—
352#520—48no—
353#520—48no—
354C4×#41—28no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2314yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2314yes—
413#401C2314yes—
414#401C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#395C2314yes—
452#395C2312yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#393C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2312yes—
484#392C2314yes—
485#392C2314yes—
486#392C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2312yes—
490#392C2312yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390C2314yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#383C2312yes—
702#383C2314yes—
703#383C2314yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—42no—
826C2×#41—42no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870#127—24no—
871#127—28no—
872#127—24no—
873#127—44no—
874#126—28no—
875#125—28no—
876#125—24no—
877#125—44no—
878#124—28no—
879#124—48no—
880#124—48no—
881#124—48no—
882#124—44no—
883#124—42no—
884#123—28no—
885#123—48no—
886#123—44no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—24no—
890C22⋊Q8—216no—
891C22⋊Q8—42no—
892C22⋊Q8#4118yescomplemented
893#121—24no—
894#121—28no—
895#121—28no—
896#121—24no—
897#121—28no—
898#121—216no—
899#121—28no—
900#121—216no—
901#121—216no—
902#121—216no—
903#121—44no—
904#121—48no—
905#121—42no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—82no—
911#121—84no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—48no—
918C4×Q8—44no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—42no—
934C4×D4—48no—
935C4×D4—48no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941C4×D4—84no—
942C4×D4—84no—
943C4×D4—82no—
944C4×D4—84no—
945C4×D4#4118yes—
946#117—24no—
947#117—24no—
948#117—28no—
949#117—24no—
950#117—28no—
951#117—28no—
952#117—44no—
953#117—48no—
954#117—44no—
955#117—48no—
956#117—44no—
957#117—44no—
958#117—82no—
959C2×C4⋊C4—24no—
960C2×C4⋊C4—28no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—48no—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C42—28no—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—44no—
1088C2×C42—84no—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2414yes—
1158#95C2414yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2511yescharacteristic
1194C24C2512yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198#41—432no—
1199#41—432no—
1200#41—416no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—42no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8C2×#4114yes—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4C2×#4114yes—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—28no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—42no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—41no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4C2×#4118yes—
1320C22×C4C2×#4114yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—41no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4C2×#4114yes—
1405C4⋊C4C2×#4114yes—
1406C4⋊C4C2×#4118yes—
1407C4⋊C4H(5,𝔽2)14yes—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—22no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—44no—
1443C22⋊C4—41no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4C2×#4118yes—
1469C22⋊C4C2×#4118yes—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—24no—
1483C42—24no—
1484C42—28no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—24no—
1493C42—22no—
1494C42—42no—
1495C42—42no—
1496C42—42no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42—42no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42—41no—
1505C42—42no—
1506C42—41no—
1507C42C2×#4114yes—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—21no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—24no—
1526C23—21no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—24no—
1540C23—22no—
1541C23C22×#4114yes—
1542C23C22×#4112yes—
1543C23C2611yescharacteristic
1544Q8—28no—
1545Q8—48no—
1546Q8—44no—
1547Q8—164no—
1548D4—28no—
1549D4—48no—
1550D4—48no—
1551D4—416no—
1552D4—48no—
1553D4—44no—
1554D4—48no—
1555D4—48no—
1556D4—44no—
1557D4—48no—
1558D4—84no—
1559D4—88no—
1560D4—84no—
1561D4—88no—
1562D4—88no—
1563D4—84no—
1564D4—164no—
1565D4—164no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—216no—
1581C2×C4—28no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—44no—
1646C2×C4—416no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—48no—
1650C2×C4—44no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—82no—
1655C2×C4—88no—
1656C2×C4—88no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—164no—
1660C2×C4—164no—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4114yes—
1663C2×C4C22×#4114yes—
1664C2×C4C22×#4114yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×H(5,𝔽2)14yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4#58512yes—
1672C2×C4#58512yes—
1673C2×C4#58512yes—
1674C22—24no—
1675C22—22no—
1676C22—24no—
1677C22—22no—
1678C22—24no—
1679C22—22no—
1680C22—41no—
1681C22—42no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—41no—
1689C22—44no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—41no—
1694C22—41no—
1695C22—42no—
1696C22—44no—
1697C22—41no—
1698C22—42no—
1699C22—44no—
1700C22—41no—
1701C22—42no—
1702C22—44no—
1703C22—44no—
1704C22—42no—
1705C22—41no—
1706C22—44no—
1707C22—42no—
1708C22—41no—
1709C22C23×#4111yescharacteristic
1710C22C23×#4111yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22H(7,𝔽2)11yescharacteristic
1716C4—22no—
1717C4—22no—
1718C4—24no—
1719C4—24no—
1720C4—24no—
1721C4—22no—
1722C4—24no—
1723C4—42no—
1724C4—41no—
1725C4—42no—
1726C4—41no—
1727C4—44no—
1728C4—41no—
1729C4—41no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—44no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4#348114yes—
1745C4#349314yes—
1746C2—44no—
1747C2—42no—
1748C2—81no—
1749C2—84no—
1750C2—82no—
1751C2C2×#348111yescharacteristic
1752C2C2×#349311yescharacteristic
1753C2#6279311yescharacteristic
1754C2#6292011yescharacteristic
1755C2#6300811yescharacteristic
1756C2#6301011yescharacteristic
1757C2#6303511yescharacteristic
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. #59960C2semidirect
2. #59721C2semidirect
3. #59717C2semidirect
4. #59647C2semidirect
5. #59394C2semidirect
6. #59282C2semidirect
7. #59245C2semidirect
8. #59219C2semidirect
9. #45236C2semidirect
10. #45024C2semidirect
11. #44626C2semidirect
12. #43473C2semidirect
13. #40153C2semidirect
14. #40145C2semidirect
15. #39341C2semidirect
16. #38967C2semidirect
17. #38865C2semidirect
18. #37975C2semidirect
19. #36590C2semidirect
20. #36588C2semidirect
21. #36587C2semidirect
22. #36463C2semidirect
23. #36410C2semidirect
24. #36373C2semidirect
25. #36273C2semidirect
26. #36211C2semidirect
27. #36011C2semidirect
28. #35756C2semidirect
29. #34970C2semidirect
30. #34715C2semidirect
31. #34313C2semidirect
32. #34274C2semidirect
33. #34206C2semidirect
34. C4×#552C2semidirect
35. #34127C2semidirect
892. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599602
#597212
#597172
#596472
#593942
#592822
#592452
#592192
#452362
#450242
#446262
#434732
#401532
#401452
#393412
#389672
#388652
#379752
#365902
#365882
#365872
#364632
#364102
#363732
#362732
#362112
#360112
#357562
#349702
#347152
#343132
#342742
#342062
C4×#5522
#341272