Finite Group Databasebeta

← #7695088

Subgroups — #7695088

Order 512.

7097 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3493C212yesmaximal, complemented
2#59834C212yesmaximal, complemented
3#59822C211yesmaximal, characteristic, complemented
4#59165C214yesmaximal, complemented
5#59022C212yesmaximal, complemented
6#52160C212yesmaximal, complemented
7#52103C211yesmaximal, characteristic, complemented
8#45261C212yesmaximal, complemented
9#45258C212yesmaximal, complemented
10#44893C212yesmaximal, complemented
11#44270C214yesmaximal, complemented
12#44209C214yesmaximal, complemented
13#44184C214yesmaximal, complemented
14#39882C214yesmaximal, complemented
15#39483C211yesmaximal, characteristic, complemented
16#39444C212yesmaximal, complemented
17#39365C211yesmaximal, characteristic, complemented
18#38435C212yesmaximal, complemented
19#37836C212yesmaximal, complemented
20#37805C214yesmaximal, complemented
21#37657C212yesmaximal, complemented
22#36270C211yesmaximal, characteristic, complemented
23#36235C212yesmaximal, complemented
24#35830C212yesmaximal, complemented
25#35772C212yesmaximal, complemented
26#35689C212yesmaximal, complemented
27#34322C211yesmaximal, characteristic, complemented
28#34313C211yesmaximal, characteristic, complemented
29#34202C212yesmaximal, complemented
30#3493—232no—
31C2×#556C2211yescharacteristic
32C2×#556C2214yescomplemented
33C2×#556C2212yescomplemented
34C2×#555C2212yes—
35C2×#555C2214yes—
36C2×#555C2212yescomplemented
37C2×#553C2212yes—
38C2×#553C2214yes—
39C2×#553C2212yescomplemented
40C2×#552C2212yes—
41C2×#552C2214yescomplemented
42C2×#552C2212yescomplemented
43C2×#550C2211yescharacteristic
44C2×#544C2212yescomplemented
45C2×#538C2214yes—
46C2×#538C2214yescomplemented
47C2×#537C2212yes—
48C2×#529C2214yes—
49C2×#529C2214yescomplemented
50C2×#525C2212yes—
51C2×#525C2212yes—
52C2×#525C2212yescomplemented
53C2×#520C2212yes—
54C2×#520C2212yescomplemented
55C22×#117C2212yescomplemented
56#2860C2212yes—
57#2859C2211yescharacteristic, complemented
58#2850C2214yes—
59#2847C2212yescomplemented
60#2734C2212yescomplemented
61#2733C2212yes—
62#2733C2212yescomplemented
63#2732C2212yes—
64#2731C2214yescomplemented
65#2730C2214yescomplemented
66#2727C2212yescomplemented
67#2727C2212yescomplemented
68#2727C2214yescomplemented
69#2726C2212yescomplemented
70#2721C2214yescomplemented
71#2718C2214yes—
72#2714C2214yescomplemented
73#2711C2214yescomplemented
74#2710C2214yes—
75#2705C2214yes—
76#2705C2214yescomplemented
77#2702C2214yescomplemented
78#2702C2214yescomplemented
79#2694C2214yescomplemented
80#2693C2214yes—
81#2691C2214yescomplemented
82#2683C2211yescharacteristic
83#2683C2212yes—
84#2682C2212yes—
85#2682C2212yes—
86#2682C2211yescharacteristic
87#2682C2211yescharacteristic
88#2681C2212yes—
89#2681C2212yes—
90#2681C2214yescomplemented
91#2680C2212yes—
92#2679C2211yescharacteristic
93#2678C2212yes—
94#2678C2212yes—
95#2676C2214yes—
96#2676C2214yes—
97#2673C2214yes—
98#2671C2214yes—
99#2669C2214yes—
100#2669C2212yes—
101#2669C2214yescomplemented
102#2662C2214yescomplemented
103#2636C2214yes—
104#2636C2214yescomplemented
105#2629C2212yescomplemented
106#2619C2212yescomplemented
107#2615C2212yes—
108#2610C2214yes—
109#2609C2214yescomplemented
110#2609C2214yescomplemented
111#2604C2214yescomplemented
112#2601C2214yescomplemented
113#2601C2214yescomplemented
114#2601C2214yescomplemented
115#2580C2214yescomplemented
116#2566C2212yescomplemented
117#2562C2212yescomplemented
118#2559C2214yes—
119#2558C2214yescomplemented
120#2557C2214yescomplemented
121#2556C2214yescomplemented
122#2555C2214yescomplemented
123#2555C2214yescomplemented
124#2550C2212yescomplemented
125#2548C2214yescomplemented
126#2545C2214yescomplemented
127#2544C2214yescomplemented
128#2543C2214yes—
129#2541C2212yes—
130#2541C2212yescomplemented
131#2539C2214yes—
132#2538C2211yescharacteristic
133#2538C2211yescharacteristic, complemented
134#2537C2212yescomplemented
135#2536C2212yescomplemented
136#2506C2212yescomplemented
137#2501C2212yescomplemented
138#2500C2212yescomplemented
139#2491C2212yescomplemented
140#2490C2212yescomplemented
141#2487C2212yescomplemented
142#2485C2212yes—
143#2478C2214yescomplemented
144#2477C2214yescomplemented
145#2476C2214yes—
146#2475C2214yescomplemented
147#2474C2214yescomplemented
148#2474C2214yescomplemented
149#2473C2214yescomplemented
150#2472C2214yescomplemented
151#2469C2214yescomplemented
152#2467C2214yes—
153#2465C2214yescomplemented
154#2464C2214yes—
155#2464C2214yes—
156#2463C2214yescomplemented
157#2460C2214yescomplemented
158#2456C2214yes—
159#2456C2214yes—
160#2456C2214yescomplemented
161#2456C2214yescomplemented
162#2455C2214yes—
163#2455C2214yescomplemented
164#2455C2214yescomplemented
165#2455C2214yescomplemented
166#2454C2214yescomplemented
167#2453C2214yescomplemented
168#2450C2214yescomplemented
169#2445C2212yes—
170#2443C2214yescomplemented
171#2441C2212yescomplemented
172#2441C2212yescomplemented
173#2440C2212yescomplemented
174#2439C2212yescomplemented
175#2429C2214yescomplemented
176#2428C2214yes—
177#2428C2214yes—
178#2426C2214yes—
179#2426C2214yescomplemented
180#2425C2214yes—
181#2424C2214yes—
182#2424C2214yes—
183#2424C2214yescomplemented
184#2423C2212yescomplemented
185#2421C2212yescomplemented
186#2416C2212yes—
187#2416C2212yes—
188#2416C2212yescomplemented
189#2414C2212yes—
190#2414C2212yescomplemented
191#2414C2212yescomplemented
192#2414C2214yescomplemented
193#2411C2214yescomplemented
194#2407C2212yes—
195#2407C2212yescomplemented
196#2397C2214yescomplemented
197#2392C2212yes—
198#2392C2212yes—
199#2392C2214yescomplemented
200#2392C2214yescomplemented
201#2388C2212yes—
202#2373C2214yescomplemented
203#2367C2212yes—
204#2366C2212yes—
205#2366C2211yescharacteristic, complemented
206#2365C2211yescharacteristic, complemented
207#2363C2212yescomplemented
208#2361C2214yescomplemented
209#2361C2212yescomplemented
210#2361C2212yescomplemented
211#2360C2212yescomplemented
212#2359C2214yes—
213#2359C2214yescomplemented
214#2359C2214yescomplemented
215#2358C2214yes—
216#2358C2214yescomplemented
217#2355C2211yescharacteristic, complemented
218#2354C2212yes—
219#2354C2211yescharacteristic
220#2354C2212yescomplemented
221#2354C2212yescomplemented
222#2352C2212yes—
223#2352C2212yes—
224#2352C2212yescomplemented
225#2352C2212yescomplemented
226#2351C2212yescomplemented
227Q8×C4⋊C4C2211yescharacteristic, complemented
228D4×C4⋊C4C2211yescharacteristic
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2212yescomplemented
231D4×C4⋊C4C2211yescharacteristic, complemented
232D4×C4⋊C4C2212yescomplemented
233#2346C2212yescomplemented
234#2341C2212yescomplemented
235#2334C2214yescomplemented
236#2324C2214yes—
237#2324C2212yescomplemented
238#2324C2214yescomplemented
239#2323C2212yescomplemented
240#2323C2214yescomplemented
241#2317C2212yescomplemented
242#2311C2212yes—
243C4×C4⋊Q8C2211yescharacteristic, complemented
244C4×#127C2212yes—
245C4×#127C2211yescharacteristic
246C4×#127C2211yescharacteristic, complemented
247C4×#124C2212yes—
248C4×C22⋊Q8C2214yescomplemented
249C4×#121C2214yes—
250C4×#120C2212yes—
251#2295C2212yescomplemented
252#2293C2211yescharacteristic
253#2293C2211yescharacteristic
254#2293C2212yescomplemented
255#2293C2212yescomplemented
256#2290C2214yescomplemented
257C2×#380C2212yescomplemented
258#2274C2212yescomplemented
259C42×Q8C2211yescharacteristic, complemented
260C22×#41C2312yes—
261C22×#41C2312yes—
262C24×C4C2312yes—
263#556—216no—
264#556—232no—
265#556D4116yescomplemented
266#555—216no—
267#555—232no—
268#555—216no—
269#553—232no—
270#553—216no—
271#553—216no—
272#552—232no—
273#552—216no—
274#552—216no—
275#550—28no—
276#544—216no—
277#538—232no—
278#538—232no—
279#537—216no—
280C2×C4⋊Q8C2314yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2311yescharacteristic
286C2×#127C2314yes—
287#529—232no—
288#529—232no—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#125C2312yes—
297C2×#125C2314yes—
298C2×#125C2314yes—
299C2×#125C2312yes—
300C2×#125C2314yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2312yes—
308#525—216no—
309#525—216no—
310#525—216no—
311C2×#123C2312yes—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#120C2312yes—
357C2×#120C2312yes—
358C2×#120C2314yes—
359C2×#120C2312yes—
360C2×#120C2312yes—
361C2×#120C2312yes—
362C2×#120C2314yes—
363#520—216no—
364#520—216no—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×#117—216no—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2312yes—
411C2×#117C2314yes—
412C2×#117C2314yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2314yes—
419C2×#117C2314yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C42C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#395C2312yes—
469#395C2314yes—
470#395C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2314yes—
555#390C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
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#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2312yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#379C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734#376C2314yes—
735C2×#95C2314yes—
736C43C2311yescharacteristic
737C43C2312yes—
738C25C2412yes—
739C2×#41—28no—
740C2×#41—28no—
741C2×#41—28no—
742C2×#41—28no—
743C2×#41—44no—
744C2×#41—44no—
745C22×Q8C2412yes—
746C22×Q8C2411yescharacteristic
747C22×Q8C2414yes—
748C22×Q8C2412yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2411yescharacteristic
772C22×D4C2411yescharacteristic
773C23×C4—28no—
774C23×C4—28no—
775C23×C4—44no—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2414yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C4⋊Q8—216no—
792C4⋊Q8—28no—
793C4⋊Q8C2×D418yes—
794#127—28no—
795#127—24no—
796#127—42no—
797#127—84no—
798#126—216no—
799#126—216no—
800#126—216no—
801#126—216no—
802#126—216no—
803#126—216no—
804#126C2×D4132yes—
805#125—216no—
806#125—216no—
807#125—216no—
808#125—28no—
809#125—28no—
810#124—216no—
811#124—216no—
812#124—216no—
813#124—216no—
814#124—216no—
815#124—84no—
816#124C2×D4116yes—
817#123—216no—
818#123—28no—
819#123—216no—
820#123—28no—
821#123—28no—
822#123—216no—
823#123—216no—
824#123—216no—
825#123—28no—
826#123—48no—
827#123—84no—
828C22⋊Q8—28no—
829C22⋊Q8—216no—
830C22⋊Q8—28no—
831C22⋊Q8—28no—
832C22⋊Q8—216no—
833C22⋊Q8—216no—
834C22⋊Q8—28no—
835C22⋊Q8—28no—
836C22⋊Q8—28no—
837C22⋊Q8—84no—
838C22⋊Q8C2×D4116yes—
839#121—28no—
840#121—216no—
841#121—28no—
842#121—28no—
843#121—28no—
844#121—28no—
845#121—28no—
846#121—216no—
847#121—28no—
848#121—216no—
849#121—28no—
850#121—216no—
851#121—216no—
852#121—216no—
853#121—216no—
854#121—28no—
855#121—216no—
856#121—44no—
857#121—44no—
858#121—84no—
859#121—84no—
860#121—84no—
861#121—84no—
862#120—28no—
863#120—28no—
864#120—216no—
865#120—28no—
866#120—28no—
867#120—44no—
868#120—84no—
869C4×Q8—28no—
870C4×Q8—216no—
871C4×Q8—216no—
872C4×Q8—24no—
873C4×Q8—42no—
874C4×Q8—82no—
875C4×Q8—82no—
876C4×Q8C2×D418yes—
877C4×Q8C2×D4116yes—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—216no—
883C4×D4—28no—
884C4×D4—216no—
885C4×D4—28no—
886C4×D4—216no—
887C4×D4—216no—
888C4×D4—216no—
889C4×D4—216no—
890C4×D4—216no—
891C4×D4—216no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—216no—
895C4×D4—28no—
896C4×D4—48no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—42no—
900C4×D4—42no—
901C4×D4—82no—
902C4×D4—84no—
903C4×D4—84no—
904C4×D4—82no—
905C4×D4—82no—
906C4×D4—82no—
907C4×D4C2×D418yes—
908C4×D4#4118yes—
909#117—28no—
910#117—28no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—216no—
915#117—216no—
916#117—216no—
917#117—216no—
918#117—28no—
919#117—216no—
920#117—216no—
921#117—216no—
922#117—28no—
923#117C2×D4116yes—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—216no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4—216no—
990C2×C22⋊C4—84no—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C42—216no—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118C24—24no—
1119C24—24no—
1120C24—42no—
1121C24—42no—
1122C24—42no—
1123C24—42no—
1124C24—42no—
1125C24C2512yes—
1126C24C2512yes—
1127C24C2514yes—
1128C24C2512yes—
1129C24C2512yes—
1130#41—432no—
1131#41—432no—
1132C2×Q8—24no—
1133C2×Q8—28no—
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8C22×D414yes—
1143C2×Q8C22×D418yes—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—28no—
1152C2×D4—24no—
1153C2×D4—28no—
1154C2×D4—24no—
1155C2×D4—28no—
1156C2×D4—24no—
1157C2×D4—28no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—41no—
1174C2×D4—42no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—41no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—41no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4C22×D414yes—
1215C2×D4C2×#4114yes—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—432no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4C22×D418yes—
1261C22×C4C2×#4118yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—41no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4C22×D414yes—
1339C4⋊C4C22×D418yes—
1340C4⋊C4C22×D418yes—
1341C4⋊C4C22×D418yes—
1342C4⋊C4C22×D4116yes—
1343C4⋊C4C22×D414yes—
1344C4⋊C4C2×#4114yes—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4C22×D4116yes—
1406C22⋊C4C22×D4116yes—
1407C22⋊C4C22×D418yes—
1408C22⋊C4C2×#4118yes—
1409C42—28no—
1410C42—28no—
1411C42—28no—
1412C42—28no—
1413C42—28no—
1414C42—28no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—41no—
1422C42—42no—
1423C42—41no—
1424C42—44no—
1425C42—42no—
1426C42—42no—
1427C42—41no—
1428C42—44no—
1429C42—44no—
1430C42C22×D4116yes—
1431C42C22×D418yes—
1432C42C22×D414yes—
1433C42C2×#4114yes—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—24no—
1449C23—22no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—22no—
1454C23—24no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—22no—
1462C23—24no—
1463C23—22no—
1464C23—24no—
1465C23—22no—
1466C23—22no—
1467C23—48no—
1468C23—48no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23C23×D414yes—
1475C23C22×#4114yes—
1476C23C2611yescharacteristic
1477Q8—28no—
1478Q8—48no—
1479Q8—48no—
1480Q8—88no—
1481D4—44no—
1482D4—44no—
1483D4—48no—
1484D4—48no—
1485D4—416no—
1486D4—48no—
1487D4—44no—
1488D4—48no—
1489D4—48no—
1490D4—48no—
1491D4—84no—
1492D4—84no—
1493D4—84no—
1494D4—88no—
1495D4—88no—
1496D4—82no—
1497D4—84no—
1498D4—88no—
1499D4—88no—
1500D4—84no—
1501D4—88no—
1502D4—84no—
1503D4—88no—
1504D4—164no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—216no—
1526C2×C4—216no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—48no—
1567C2×C4—416no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—88no—
1575C2×C4—88no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—164no—
1579C2×C4C23×D418yes—
1580C2×C4C23×D414yes—
1581C2×C4C23×D414yes—
1582C2×C4C23×D414yes—
1583C2×C4C23×D412yes—
1584C2×C4C23×D412yes—
1585C2×C4C23×D412yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4112yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C22—24no—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—42no—
1613C22—44no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—816no—
1628C22C24×D411yescharacteristic
1629C22C23×#4111yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22H(7,𝔽2)11yescharacteristic
1633C22H(7,𝔽2)11yescharacteristic
1634C222−1+611yescharacteristic
1635C4—22no—
1636C4—24no—
1637C4—22no—
1638C4—22no—
1639C4—28no—
1640C4—22no—
1641C4—22no—
1642C4—24no—
1643C4—24no—
1644C4—24no—
1645C4—42no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—44no—
1650C4—41no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4D4×#4114yes—
1659C2—44no—
1660C2—44no—
1661C2—84no—
1662C2—82no—
1663C2—82no—
1664C2C2×D4×#4111yescharacteristic
1665C2#6284511yescharacteristic
1666C2#6285311yescharacteristic
1667C2#6290711yescharacteristic
1668C2#6299411yescharacteristic
1669C2#6300311yescharacteristic
1670C2#6305111yescharacteristic
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. C2×#3493C2semidirect
2. #59834C2semidirect
3. #59822C2semidirect
4. #59165C2semidirect
5. #59022C2semidirect
6. #52160C2semidirect
7. #52103C2semidirect
8. #45261C2semidirect
9. #45258C2semidirect
10. #44893C2semidirect
11. #44270C2semidirect
12. #44209C2semidirect
13. #44184C2semidirect
14. #39882C2semidirect
15. #39483C2semidirect
16. #39444C2semidirect
17. #39365C2semidirect
18. #38435C2semidirect
19. #37836C2semidirect
20. #37805C2semidirect
21. #37657C2semidirect
22. #36270C2semidirect
23. #36235C2semidirect
24. #35830C2semidirect
25. #35772C2semidirect
26. #35689C2semidirect
27. #34322C2semidirect
28. #34313C2semidirect
29. #34202C2semidirect
32. C2×#556C22semidirect
33. C2×#556C22semidirect
36. C2×#555C22semidirect
39. C2×#553C22semidirect
41. C2×#552C22semidirect
42. C2×#552C22semidirect
44. C2×#544C22semidirect
46. C2×#538C22semidirect
49. C2×#529C22semidirect
52. C2×#525C22semidirect
54. C2×#520C22semidirect
55. C22×#117C22semidirect
57. #2859C22semidirect
59. #2847C22semidirect
60. #2734C22semidirect
62. #2733C22semidirect
64. #2731C22semidirect
65. #2730C22semidirect
66. #2727C22semidirect
67. #2727C22semidirect
68. #2727C22semidirect
69. #2726C22semidirect
70. #2721C22semidirect
72. #2714C22semidirect
73. #2711C22semidirect
76. #2705C22semidirect
77. #2702C22semidirect
78. #2702C22semidirect
79. #2694C22semidirect
81. #2691C22semidirect
90. #2681C22semidirect
101. #2669C22semidirect
102. #2662C22semidirect
104. #2636C22semidirect
105. #2629C22semidirect
106. #2619C22semidirect
109. #2609C22semidirect
110. #2609C22semidirect
111. #2604C22semidirect
112. #2601C22semidirect
113. #2601C22semidirect
114. #2601C22semidirect
115. #2580C22semidirect
116. #2566C22semidirect
117. #2562C22semidirect
119. #2558C22semidirect
120. #2557C22semidirect
121. #2556C22semidirect
122. #2555C22semidirect
123. #2555C22semidirect
124. #2550C22semidirect
125. #2548C22semidirect
126. #2545C22semidirect
127. #2544C22semidirect
130. #2541C22semidirect
133. #2538C22semidirect
134. #2537C22semidirect
135. #2536C22semidirect
136. #2506C22semidirect
137. #2501C22semidirect
138. #2500C22semidirect
139. #2491C22semidirect
140. #2490C22semidirect
141. #2487C22semidirect
143. #2478C22semidirect
144. #2477C22semidirect
146. #2475C22semidirect
147. #2474C22semidirect
148. #2474C22semidirect
149. #2473C22semidirect
150. #2472C22semidirect
151. #2469C22semidirect
153. #2465C22semidirect
156. #2463C22semidirect
157. #2460C22semidirect
160. #2456C22semidirect
161. #2456C22semidirect
163. #2455C22semidirect
164. #2455C22semidirect
165. #2455C22semidirect
166. #2454C22semidirect
167. #2453C22semidirect
168. #2450C22semidirect
170. #2443C22semidirect
171. #2441C22semidirect
172. #2441C22semidirect
173. #2440C22semidirect
174. #2439C22semidirect
175. #2429C22semidirect
179. #2426C22semidirect
183. #2424C22semidirect
184. #2423C22semidirect
185. #2421C22semidirect
188. #2416C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
193. #2411C22semidirect
195. #2407C22semidirect
196. #2397C22semidirect
199. #2392C22semidirect
200. #2392C22semidirect
202. #2373C22semidirect
205. #2366C22semidirect
206. #2365C22semidirect
207. #2363C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2361C22semidirect
211. #2360C22semidirect
213. #2359C22semidirect
214. #2359C22semidirect
216. #2358C22semidirect
217. #2355C22semidirect
220. #2354C22semidirect
221. #2354C22semidirect
224. #2352C22semidirect
225. #2352C22semidirect
226. #2351C22semidirect
227. Q8×C4⋊C4C22semidirect
230. D4×C4⋊C4C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
233. #2346C22semidirect
234. #2341C22semidirect
235. #2334C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2323C22semidirect
240. #2323C22semidirect
241. #2317C22semidirect
243. C4×C4⋊Q8C22semidirect
246. C4×#127C22semidirect
248. C4×C22⋊Q8C22semidirect
251. #2295C22semidirect
254. #2293C22semidirect
255. #2293C22semidirect
256. #2290C22semidirect
257. C2×#380C22semidirect
258. #2274C22semidirect
259. C42×Q8C22semidirect
265. #556D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34932
#598342
#598222
#591652
#590222
#521602
#521032
#452612
#452582
#448932
#442702
#442092
#441842
#398822
#394832
#394442
#393652
#384352
#378362
#378052
#376572
#362702
#362352
#358302
#357722
#356892
#343222
#343132
#342022