Finite Group Databasebeta

← #7695084

Subgroups — #7695084

Order 512.

7439 conjugacy classes of subgroups.

The subgroup lattice has 1729 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C212yesmaximal, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59819C212yesmaximal, complemented
4#59181C214yesmaximal, complemented
5#59026C212yesmaximal, complemented
6#52167C212yesmaximal, complemented
7#52103C211yesmaximal, characteristic, complemented
8#44906C212yesmaximal, complemented
9#44899C212yesmaximal, complemented
10#44893C212yesmaximal, complemented
11#43925C214yesmaximal, complemented
12#43896C214yesmaximal, complemented
13#43109C214yesmaximal, complemented
14#39888C214yesmaximal, complemented
15#39483C211yesmaximal, characteristic, complemented
16#39455C212yesmaximal, complemented
17#39365C211yesmaximal, characteristic, complemented
18#38424C212yesmaximal, complemented
19#37846C212yesmaximal, complemented
20#37814C214yesmaximal, complemented
21#37650C212yesmaximal, complemented
22#36517C212yesmaximal, complemented
23#36468C211yesmaximal, characteristic, complemented
24#35823C212yesmaximal, complemented
25#35768C212yesmaximal, complemented
26#35682C212yesmaximal, complemented
27#34316C211yesmaximal, characteristic, complemented
28#34310C211yesmaximal, characteristic, complemented
29#34201C212yesmaximal, complemented
30#3494—232no—
31C2×#555C2212yes—
32C2×#555C2212yescomplemented
33C2×#553C2212yescomplemented
34C2×#553C2212yescomplemented
35C2×#553C2212yescomplemented
36C2×#553C2212yescomplemented
37C2×#551C2214yescomplemented
38C2×#551C2214yescomplemented
39C2×#547C2211yescharacteristic
40C2×#547C2212yescomplemented
41C2×#546C2214yescomplemented
42C2×#546C2214yescomplemented
43C2×D42C2211yescharacteristic
44C2×#544C2212yescomplemented
45C2×#542C2214yescomplemented
46C2×#540C2214yescomplemented
47C2×#535C2212yes—
48C2×#532C2214yescomplemented
49C2×#529C2214yescomplemented
50C2×#525C2212yes—
51C2×#525C2212yescomplemented
52C22×#121C2212yescomplemented
53C2×#520C2212yescomplemented
54C2×#518C2212yescomplemented
55C22×#117C2212yescomplemented
56#2859C2211yescharacteristic, complemented
57#2854C2212yescomplemented
58#2854C2214yescomplemented
59#2847C2212yescomplemented
60#2734C2212yescomplemented
61#2733C2212yescomplemented
62#2733C2212yescomplemented
63#2732C2212yes—
64#2731C2214yescomplemented
65#2730C2214yescomplemented
66#2727C2212yescomplemented
67#2727C2212yescomplemented
68#2726C2212yescomplemented
69#2715C2214yescomplemented
70#2711C2214yescomplemented
71#2710C2214yescomplemented
72#2710C2214yescomplemented
73#2699C2214yescomplemented
74#2699C2214yescomplemented
75#2687C2214yescomplemented
76#2686C2214yescomplemented
77#2686C2214yescomplemented
78#2685C2214yescomplemented
79#2683C2212yes—
80#2683C2211yescharacteristic, complemented
81#2682C2211yescharacteristic
82#2682C2212yescomplemented
83#2682C2212yescomplemented
84#2682C2214yescomplemented
85#2682C2211yescharacteristic, complemented
86#2681C2212yescomplemented
87#2681C2212yescomplemented
88#2680C2212yescomplemented
89#2679C2211yescharacteristic
90#2678C2214yes—
91#2678C2212yes—
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2212yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2669C2214yes—
101#2669C2212yescomplemented
102#2661C2214yescomplemented
103#2630C2214yescomplemented
104#2630C2214yescomplemented
105#2629C2212yescomplemented
106#2619C2212yescomplemented
107#2615C2212yes—
108#2602C2214yescomplemented
109#2602C2214yescomplemented
110#2602C2214yescomplemented
111#2566C2212yescomplemented
112#2562C2212yescomplemented
113#2560C2214yescomplemented
114#2560C2214yescomplemented
115#2559C2214yescomplemented
116#2556C2214yescomplemented
117#2555C2214yescomplemented
118#2554C2214yescomplemented
119#2554C2214yescomplemented
120#2550C2212yescomplemented
121#2548C2214yescomplemented
122#2545C2214yescomplemented
123#2541C2212yescomplemented
124#2541C2212yescomplemented
125#2539C2214yescomplemented
126#2539C2214yescomplemented
127#2537C2211yescharacteristic
128#2537C2211yescharacteristic, complemented
129#2537C2212yescomplemented
130#2535C2212yescomplemented
131#2534C2214yescomplemented
132#2534C2214yescomplemented
133#2521C2214yescomplemented
134#2501C2212yescomplemented
135#2500C2212yescomplemented
136#2496C2212yescomplemented
137#2491C2212yescomplemented
138#2490C2212yescomplemented
139#2486C2212yescomplemented
140#2485C2212yescomplemented
141#2480C2214yescomplemented
142#2479C2214yescomplemented
143#2479C2214yescomplemented
144#2478C2214yescomplemented
145#2477C2214yescomplemented
146#2476C2214yescomplemented
147#2475C2214yescomplemented
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2471C2214yescomplemented
151#2471C2214yescomplemented
152#2468C2214yescomplemented
153#2465C2214yescomplemented
154#2464C2214yescomplemented
155#2464C2214yescomplemented
156#2463C2214yescomplemented
157#2461C2214yescomplemented
158#2458C2214yescomplemented
159#2457C2214yescomplemented
160#2456C2214yescomplemented
161#2455C2214yescomplemented
162#2455C2214yescomplemented
163#2447C2214yescomplemented
164#2445C2214yescomplemented
165#2445C2214yescomplemented
166#2443C2214yescomplemented
167#2441C2212yescomplemented
168#2441C2212yescomplemented
169#2440C2212yescomplemented
170#2439C2212yescomplemented
171#2435C2214yescomplemented
172#2433C2214yescomplemented
173#2431C2214yescomplemented
174#2429C2214yescomplemented
175#2428C2212yescomplemented
176#2426C2214yescomplemented
177#2424C2214yescomplemented
178#2422C2212yescomplemented
179#2420C2212yescomplemented
180#2418C2214yescomplemented
181#2416C2212yescomplemented
182#2414C2212yes—
183#2414C2212yescomplemented
184#2414C2212yescomplemented
185#2414C2214yescomplemented
186#2414C2212yescomplemented
187#2414C2212yescomplemented
188#2413C2214yescomplemented
189#2411C2214yescomplemented
190#2410C2214yes—
191#2410C2214yescomplemented
192#2408C2212yes—
193#2408C2212yescomplemented
194#2407C2214yescomplemented
195#2403C2214yes—
196#2392C2212yescomplemented
197#2392C2212yescomplemented
198#2392C2214yescomplemented
199#2388C2212yescomplemented
200#2388C2214yescomplemented
201#2388C2214yescomplemented
202#2374C2214yescomplemented
203#2366C2211yescharacteristic, complemented
204#2365C2211yescharacteristic, complemented
205#2363C2214yes—
206#2363C2212yescomplemented
207#2363C2212yescomplemented
208#2363C2214yescomplemented
209#2363C2212yescomplemented
210#2362C2212yescomplemented
211#2362C2214yescomplemented
212#2362C2214yescomplemented
213#2361C2212yescomplemented
214#2361C2212yescomplemented
215#2358C2214yescomplemented
216#2354C2211yescharacteristic
217#2354C2211yescharacteristic, complemented
218#2354C2211yescharacteristic, complemented
219#2354C2212yescomplemented
220#2354C2212yescomplemented
221#2354C2212yescomplemented
222#2354C2211yescharacteristic, complemented
223#2354C2212yescomplemented
224#2352C2212yes—
225#2352C2212yescomplemented
226#2352C2212yescomplemented
227#2352C2212yescomplemented
228D4×C4⋊C4C2211yescharacteristic, complemented
229D4×C4⋊C4C2211yescharacteristic, complemented
230#2345C2212yescomplemented
231#2342C2214yescomplemented
232#2341C2212yescomplemented
233D4×C22⋊C4C2212yes—
234D4×C22⋊C4C2212yescomplemented
235#2335C2214yescomplemented
236#2324C2212yescomplemented
237#2324C2212yescomplemented
238#2321C2214yes—
239#2321C2214yescomplemented
240#2321C2214yescomplemented
241#2317C2212yescomplemented
242#2311C2212yescomplemented
243C4×C4⋊Q8C2211yescharacteristic, complemented
244C4×#127C2211yescharacteristic, complemented
245C4×#127C2211yescharacteristic, complemented
246C4×C22⋊Q8C2212yescomplemented
247C4×#123C2214yescomplemented
248C4×#123C2214yescomplemented
249C4×#123C2214yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#120C2212yescomplemented
253#2297C2212yescomplemented
254#2293C2211yescharacteristic
255#2293C2211yescharacteristic, complemented
256C2×#390C2212yes—
257#2280C2212yescomplemented
258#2274C2212yescomplemented
259C42×D4C2211yescharacteristic, complemented
260C22×#41C2312yes—
261C22×#41C2314yes—
262C22×#41C2312yes—
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2314yes—
266C24×C4C2312yes—
267#555—216no—
268#555—216no—
269#553—216no—
270#553—216no—
271#553—216no—
272#553—216no—
273#551—232no—
274#551—232no—
275#547—216no—
276#547D4116yescomplemented
277#546—232no—
278#546—232no—
279D42—28no—
280#544—216no—
281#542—232no—
282#540—232no—
283#535—216no—
284#532—232no—
285C2×C4⋊Q8C2314yes—
286C2×C4⋊Q8C2312yes—
287C2×C4⋊Q8C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2314yes—
290C2×#127C2311yescharacteristic
291C2×#127C2314yes—
292#529—232no—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#125C2312yes—
298C2×#125C2314yes—
299C2×#125C2312yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306#525—216no—
307#525—216no—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2312yes—
311C2×#123C2312yes—
312C2×#123C2312yes—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×#121—216no—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#120C2312yes—
361C2×#120C2312yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2312yes—
366C2×#120C2312yes—
367C2×#120C2312yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371#520—216no—
372#518—216no—
373C2×C4×Q8C2314yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×#117—216no—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2314yes—
417C2×#117C2314yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C42C2314yes—
432C22×C42C2312yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2312yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#395C2312yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2312yes—
512#392C2314yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2312yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#388C2314yes—
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#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
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#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
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#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#381C2314yes—
678#381C2314yes—
679#381C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C43C2311yescharacteristic
738C25C2414yes—
739C25C2412yes—
740C2×#41—28no—
741C2×#41—216no—
742C2×#41—28no—
743C2×#41—44no—
744C2×#41—82no—
745C2×#41—82no—
746C2×#41—84no—
747C2×#41—84no—
748C2×#41C2×D4116yescomplemented
749C22×Q8C2412yes—
750C22×Q8C2414yes—
751C22×Q8C2412yes—
752C22×D4—28no—
753C22×D4—216no—
754C22×D4—28no—
755C22×D4—28no—
756C22×D4—44no—
757C22×D4—82no—
758C22×D4—82no—
759C22×D4—84no—
760C22×D4—84no—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2411yescharacteristic
787C22×D4C2414yes—
788C22×D4C2411yescharacteristic
789C23×C4—28no—
790C23×C4—28no—
791C23×C4—44no—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2414yes—
809C4⋊Q8—216no—
810C4⋊Q8—28no—
811C4⋊Q8C2×D418yescomplemented
812#127—216no—
813#127—24no—
814#127—42no—
815#127—84no—
816#126—216no—
817#126—216no—
818#126—216no—
819#126—216no—
820#125—216no—
821#125—28no—
822#125—28no—
823#124—216no—
824#124—216no—
825#124—216no—
826#124—216no—
827#124—216no—
828#124—84no—
829#123—216no—
830#123—216no—
831#123—28no—
832#123—216no—
833#123—216no—
834#123—28no—
835#123—28no—
836#123—216no—
837#123—216no—
838#123—28no—
839#123—48no—
840#123—84no—
841#123—84no—
842#123—84no—
843#123C2×D4132yescomplemented
844C22⋊Q8—216no—
845C22⋊Q8—28no—
846C22⋊Q8—216no—
847C22⋊Q8—216no—
848C22⋊Q8—28no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—84no—
852C22⋊Q8C2×D4116yescomplemented
853#121—216no—
854#121—28no—
855#121—28no—
856#121—216no—
857#121—216no—
858#121—28no—
859#121—216no—
860#121—28no—
861#121—28no—
862#121—28no—
863#121—216no—
864#121—28no—
865#121—28no—
866#121—28no—
867#121—216no—
868#121—28no—
869#121—216no—
870#121—28no—
871#121—216no—
872#121—28no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—84no—
877#121—84no—
878#121—82no—
879#121C2×D4116yes—
880#120—28no—
881#120—216no—
882#120—28no—
883#120—28no—
884#120—216no—
885#120—28no—
886#120—216no—
887#120—44no—
888#120—84no—
889#120—84no—
890#120—84no—
891C4×Q8—216no—
892C4×Q8—82no—
893C4×Q8—82no—
894C4×D4—28no—
895C4×D4—216no—
896C4×D4—216no—
897C4×D4—216no—
898C4×D4—216no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—216no—
902C4×D4—216no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—216no—
907C4×D4—216no—
908C4×D4—216no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—82no—
918C4×D4—82no—
919C4×D4—84no—
920C4×D4—82no—
921C4×D4C2×D418yes—
922C4×D4C2×D418yescomplemented
923C4×D4#4118yescomplemented
924#117—28no—
925#117—28no—
926#117—28no—
927#117—216no—
928#117—216no—
929#117—28no—
930#117—28no—
931#117—28no—
932#117—216no—
933#117—216no—
934#117—28no—
935#117—28no—
936#117—44no—
937#117—82no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—28no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—82no—
942C2×C4⋊C4C2×D4116yescomplemented
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4—216no—
995C2×C22⋊C4—216no—
996C2×C22⋊C4—216no—
997C2×C22⋊C4—216no—
998C2×C22⋊C4—48no—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C42—216no—
1071C2×C42—82no—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129C24—24no—
1130C24—28no—
1131C24—24no—
1132C24—28no—
1133C24—42no—
1134C24—42no—
1135C24—42no—
1136C24—44no—
1137C24—42no—
1138C24—42no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24C2512yes—
1144C24C2514yes—
1145C24C2512yes—
1146C24C2512yes—
1147C24C2512yes—
1148C24C2512yes—
1149#41—432no—
1150#41—816no—
1151#41—832no—
1152C2×Q8—24no—
1153C2×Q8—28no—
1154C2×Q8—24no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8C22×D418yes—
1161C2×D4—24no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—22no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—432no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—816no—
1243C2×D4—832no—
1244C2×D4C22×D414yes—
1245C2×D4C22×D4116yes—
1246C2×D4C22×D414yes—
1247C2×D4C2×#4114yes—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—28no—
1270C22×C4—28no—
1271C22×C4—24no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—432no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4C22×D418yes—
1297C22×C4C22×D4116yes—
1298C22×C4C22×D418yes—
1299C22×C4C2×#4118yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—41no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—41no—
1352C4⋊C4—42no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—41no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4C22×D414yes—
1369C4⋊C4C22×D418yes—
1370C4⋊C4C22×D4116yes—
1371C4⋊C4C22×D418yes—
1372C4⋊C4C22×D414yes—
1373C4⋊C4C2×#4114yes—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4C22×D418yes—
1442C22⋊C4C22×D4116yes—
1443C22⋊C4C22×D418yes—
1444C22⋊C4C2×#4118yes—
1445C42—28no—
1446C42—28no—
1447C42—28no—
1448C42—28no—
1449C42—28no—
1450C42—28no—
1451C42—24no—
1452C42—24no—
1453C42—22no—
1454C42—22no—
1455C42—41no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42—44no—
1461C42—41no—
1462C42—41no—
1463C42—44no—
1464C42—44no—
1465C42C22×D414yes—
1466C42C2×#4114yes—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—24no—
1502C23—24no—
1503C23—22no—
1504C23—24no—
1505C23—22no—
1506C23—48no—
1507C23—416no—
1508C23—48no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—88no—
1513C23—88no—
1514C23—88no—
1515C23—88no—
1516C23—84no—
1517C23—84no—
1518C23—164no—
1519C23—164no—
1520C23C23×D414yes—
1521C23C23×D414yes—
1522C23C22×#4114yes—
1523C23C2611yescharacteristic
1524Q8—48no—
1525Q8—48no—
1526Q8—88no—
1527D4—28no—
1528D4—44no—
1529D4—416no—
1530D4—44no—
1531D4—416no—
1532D4—48no—
1533D4—48no—
1534D4—44no—
1535D4—48no—
1536D4—48no—
1537D4—416no—
1538D4—48no—
1539D4—48no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543D4—82no—
1544D4—88no—
1545D4—88no—
1546D4—84no—
1547D4—84no—
1548D4—88no—
1549D4—88no—
1550D4—84no—
1551D4—88no—
1552D4—88no—
1553D4—88no—
1554D4—164no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—216no—
1574C2×C4—216no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—48no—
1615C2×C4—416no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—88no—
1623C2×C4—84no—
1624C2×C4—88no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4C23×D414yes—
1630C2×C4C23×D418yes—
1631C2×C4C23×D414yes—
1632C2×C4C23×D412yes—
1633C2×C4C23×D412yes—
1634C2×C4C23×D412yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4114yes—
1638C2×C4C22×#4112yes—
1639C2×C4#58512yes—
1640C2×C4#58512yes—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—24no—
1646C22—24no—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—44no—
1665C22—44no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—816no—
1684C22—1616no—
1685C22C24×D411yescharacteristic
1686C22C23×#4111yescharacteristic
1687C22C2×#58511yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22H(7,𝔽2)11yescharacteristic
1690C22H(7,𝔽2)11yescharacteristic
1691C22H(7,𝔽2)11yescharacteristic
1692C4—22no—
1693C4—22no—
1694C4—24no—
1695C4—22no—
1696C4—28no—
1697C4—22no—
1698C4—22no—
1699C4—24no—
1700C4—24no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—44no—
1705C4—41no—
1706C4—44no—
1707C4—44no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4D4×#4114yes—
1715C2—44no—
1716C2—44no—
1717C2—44no—
1718C2—82no—
1719C2—82no—
1720C2—84no—
1721C2C2×D4×#4111yescharacteristic
1722C2#6284211yescharacteristic
1723C2#6285511yescharacteristic
1724C2#6290811yescharacteristic
1725C2#6299411yescharacteristic
1726C2#6300311yescharacteristic
1727C2#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×#3494C2semidirect
2. #59822C2semidirect
3. #59819C2semidirect
4. #59181C2semidirect
5. #59026C2semidirect
6. #52167C2semidirect
7. #52103C2semidirect
8. #44906C2semidirect
9. #44899C2semidirect
10. #44893C2semidirect
11. #43925C2semidirect
12. #43896C2semidirect
13. #43109C2semidirect
14. #39888C2semidirect
15. #39483C2semidirect
16. #39455C2semidirect
17. #39365C2semidirect
18. #38424C2semidirect
19. #37846C2semidirect
20. #37814C2semidirect
21. #37650C2semidirect
22. #36517C2semidirect
23. #36468C2semidirect
24. #35823C2semidirect
25. #35768C2semidirect
26. #35682C2semidirect
27. #34316C2semidirect
28. #34310C2semidirect
29. #34201C2semidirect
32. C2×#555C22semidirect
33. C2×#553C22semidirect
34. C2×#553C22semidirect
35. C2×#553C22semidirect
36. C2×#553C22semidirect
37. C2×#551C22semidirect
38. C2×#551C22semidirect
40. C2×#547C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
44. C2×#544C22semidirect
45. C2×#542C22semidirect
46. C2×#540C22semidirect
48. C2×#532C22semidirect
49. C2×#529C22semidirect
51. C2×#525C22semidirect
52. C22×#121C22semidirect
53. C2×#520C22semidirect
54. C2×#518C22semidirect
55. C22×#117C22semidirect
56. #2859C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2847C22semidirect
60. #2734C22semidirect
61. #2733C22semidirect
62. #2733C22semidirect
64. #2731C22semidirect
65. #2730C22semidirect
66. #2727C22semidirect
67. #2727C22semidirect
68. #2726C22semidirect
69. #2715C22semidirect
70. #2711C22semidirect
71. #2710C22semidirect
72. #2710C22semidirect
73. #2699C22semidirect
74. #2699C22semidirect
75. #2687C22semidirect
76. #2686C22semidirect
77. #2686C22semidirect
78. #2685C22semidirect
80. #2683C22semidirect
82. #2682C22semidirect
83. #2682C22semidirect
84. #2682C22semidirect
85. #2682C22semidirect
86. #2681C22semidirect
87. #2681C22semidirect
88. #2680C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
101. #2669C22semidirect
102. #2661C22semidirect
103. #2630C22semidirect
104. #2630C22semidirect
105. #2629C22semidirect
106. #2619C22semidirect
108. #2602C22semidirect
109. #2602C22semidirect
110. #2602C22semidirect
111. #2566C22semidirect
112. #2562C22semidirect
113. #2560C22semidirect
114. #2560C22semidirect
115. #2559C22semidirect
116. #2556C22semidirect
117. #2555C22semidirect
118. #2554C22semidirect
119. #2554C22semidirect
120. #2550C22semidirect
121. #2548C22semidirect
122. #2545C22semidirect
123. #2541C22semidirect
124. #2541C22semidirect
125. #2539C22semidirect
126. #2539C22semidirect
128. #2537C22semidirect
129. #2537C22semidirect
130. #2535C22semidirect
131. #2534C22semidirect
132. #2534C22semidirect
133. #2521C22semidirect
134. #2501C22semidirect
135. #2500C22semidirect
136. #2496C22semidirect
137. #2491C22semidirect
138. #2490C22semidirect
139. #2486C22semidirect
140. #2485C22semidirect
141. #2480C22semidirect
142. #2479C22semidirect
143. #2479C22semidirect
144. #2478C22semidirect
145. #2477C22semidirect
146. #2476C22semidirect
147. #2475C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2471C22semidirect
151. #2471C22semidirect
152. #2468C22semidirect
153. #2465C22semidirect
154. #2464C22semidirect
155. #2464C22semidirect
156. #2463C22semidirect
157. #2461C22semidirect
158. #2458C22semidirect
159. #2457C22semidirect
160. #2456C22semidirect
161. #2455C22semidirect
162. #2455C22semidirect
163. #2447C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2443C22semidirect
167. #2441C22semidirect
168. #2441C22semidirect
169. #2440C22semidirect
170. #2439C22semidirect
171. #2435C22semidirect
172. #2433C22semidirect
173. #2431C22semidirect
174. #2429C22semidirect
175. #2428C22semidirect
176. #2426C22semidirect
177. #2424C22semidirect
178. #2422C22semidirect
179. #2420C22semidirect
180. #2418C22semidirect
181. #2416C22semidirect
183. #2414C22semidirect
184. #2414C22semidirect
185. #2414C22semidirect
186. #2414C22semidirect
187. #2414C22semidirect
188. #2413C22semidirect
189. #2411C22semidirect
191. #2410C22semidirect
193. #2408C22semidirect
194. #2407C22semidirect
196. #2392C22semidirect
197. #2392C22semidirect
198. #2392C22semidirect
199. #2388C22semidirect
200. #2388C22semidirect
201. #2388C22semidirect
202. #2374C22semidirect
203. #2366C22semidirect
204. #2365C22semidirect
206. #2363C22semidirect
207. #2363C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
210. #2362C22semidirect
211. #2362C22semidirect
212. #2362C22semidirect
213. #2361C22semidirect
214. #2361C22semidirect
215. #2358C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
219. #2354C22semidirect
220. #2354C22semidirect
221. #2354C22semidirect
222. #2354C22semidirect
223. #2354C22semidirect
225. #2352C22semidirect
226. #2352C22semidirect
227. #2352C22semidirect
228. D4×C4⋊C4C22semidirect
229. D4×C4⋊C4C22semidirect
230. #2345C22semidirect
231. #2342C22semidirect
232. #2341C22semidirect
234. D4×C22⋊C4C22semidirect
235. #2335C22semidirect
236. #2324C22semidirect
237. #2324C22semidirect
239. #2321C22semidirect
240. #2321C22semidirect
241. #2317C22semidirect
242. #2311C22semidirect
243. C4×C4⋊Q8C22semidirect
244. C4×#127C22semidirect
245. C4×#127C22semidirect
246. C4×C22⋊Q8C22semidirect
247. C4×#123C22semidirect
248. C4×#123C22semidirect
249. C4×#123C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#120C22semidirect
253. #2297C22semidirect
255. #2293C22semidirect
257. #2280C22semidirect
258. #2274C22semidirect
259. C42×D4C22semidirect
276. #547D4semidirect
748. C2×#41C2×D4semidirect
811. C4⋊Q8C2×D4semidirect
843. #123C2×D4semidirect
852. C22⋊Q8C2×D4semidirect
922. C4×D4C2×D4semidirect
923. C4×D4#41semidirect
942. C2×C4⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
#598222
#598192
#591812
#590262
#521672
#521032
#449062
#448992
#448932
#439252
#438962
#431092
#398882
#394832
#394552
#393652
#384242
#378462
#378142
#376502
#365172
#364682
#358232
#357682
#356822
#343162
#343102
#342012