Finite Group Databasebeta

← #7683567

Subgroups — #7683567

Order 512.

5741 conjugacy classes of subgroups.

The subgroup lattice has 1651 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60048C212yesmaximal, complemented
2#60038C212yesmaximal, complemented
3#59726C214yesmaximal, complemented
4#59620C212yesmaximal, complemented
5#59419C212yesmaximal, complemented
6#59236C212yesmaximal, complemented
7#59232C212yesmaximal, complemented
8#59097C214yesmaximal, complemented
9#59056C212yesmaximal, complemented
10#59051C212yesmaximal, complemented
11#45437C211yesmaximal, characteristic, complemented
12#45408C211yesmaximal, characteristic, complemented
13#45378C211yesmaximal, characteristic, complemented
14#45364C211yesmaximal, characteristic, complemented
15#45020C212yesmaximal, complemented
16#44933C212yesmaximal, complemented
17#44326C212yesmaximal, complemented
18#44242C212yesmaximal, complemented
19#44158C214yesmaximal, complemented
20#43481C212yesmaximal, complemented
21#43425C214yesmaximal, complemented
22#43389C212yesmaximal, complemented
23#35571C212yesmaximal, complemented
24#35571C212yesmaximal, complemented
25#35567C212yesmaximal, complemented
26#34977C211yesmaximal, characteristic, complemented
27#34937C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34306C212yesmaximal, complemented
30#34298C212yesmaximal, complemented
31#34222C212yesmaximal, complemented
32C2×#555C2212yes—
33C2×#550C2214yes—
34C2×#547C2212yes—
35C2×#540C2212yes—
36C2×#532C2212yes—
37C2×#532C2212yes—
38C2×#532C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2811C2212yes—
43#2806C2214yes—
44#2803C2214yes—
45#2795C2212yes—
46#2792C2212yes—
47#2784C2212yes—
48#2781C2214yes—
49#2775C2214yes—
50#2756C2214yes—
51#2756C2214yes—
52#2737C2214yes—
53#2733C2212yes—
54#2733C2214yes—
55#2733C2214yes—
56#2730C2214yes—
57#2730C2214yes—
58#2699C2212yes—
59#2699C2214yes—
60#2699C2212yes—
61#2699C2212yes—
62#2699C2214yes—
63#2699C2214yes—
64#2686C2214yes—
65#2686C2214yes—
66#2673C2214yes—
67#2673C2214yes—
68#2673C2214yes—
69#2673C2214yes—
70#2611C2211yescharacteristic
71#2611C2211yescharacteristic
72#2610C2211yescharacteristic
73#2610C2211yescharacteristic
74#2610C2214yes—
75#2610C2214yes—
76#2610C2212yes—
77#2610C2212yes—
78#2604C2212yes—
79#2603C2212yes—
80#2602C2214yes—
81#2602C2214yes—
82#2593C2212yes—
83#2586C2212yes—
84#2584C2212yes—
85#2582C2212yes—
86#2572C2212yes—
87#2572C2214yes—
88#2567C2211yescharacteristic
89#2564C2211yescharacteristic
90#2564C2211yescharacteristic
91#2563C2211yescharacteristic
92#2562C2212yes—
93#2559C2214yes—
94#2558C2214yes—
95#2557C2214yes—
96#2557C2214yes—
97#2555C2212yes—
98#2555C2214yes—
99#2555C2214yes—
100#2555C2214yes—
101#2555C2212yes—
102#2555C2212yes—
103#2555C2214yes—
104#2555C2214yes—
105#2554C2214yes—
106#2550C2212yes—
107#2550C2212yes—
108#2548C2211yescharacteristic
109#2548C2211yescharacteristic
110#2548C2212yes—
111#2547C2211yescharacteristic
112#2546C2211yescharacteristic
113#2545C2212yes—
114#2544C2212yes—
115#2543C2211yescharacteristic
116#2543C2214yes—
117#2543C2212yes—
118#2543C2211yescharacteristic
119#2543C2212yes—
120#2543C2214yes—
121#2541C2214yes—
122#2541C2211yescharacteristic
123#2541C2212yes—
124#2541C2212yes—
125#2541C2212yes—
126#2541C2212yes—
127#2541C2211yescharacteristic
128#2541C2212yes—
129#2537C2212yes—
130#2535C2212yes—
131#2535C2212yes—
132#2531C2214yes—
133#2529C2214yes—
134#2526C2214yes—
135#2526C2214yes—
136#2518C2214yes—
137#2500C2212yes—
138#2498C2212yes—
139#2491C2212yes—
140#2491C2214yes—
141#2491C2212yes—
142#2490C2212yes—
143#2490C2212yes—
144#2471C2214yes—
145#2471C2214yes—
146#2464C2214yes—
147#2464C2214yes—
148#2464C2214yes—
149#2461C2214yes—
150#2459C2214yes—
151#2459C2214yes—
152#2459C2214yes—
153#2456C2214yes—
154#2456C2214yes—
155#2451C2214yes—
156#2445C2214yes—
157#2431C2214yes—
158#2431C2214yes—
159#2431C2214yes—
160#2431C2214yes—
161#2431C2214yes—
162#2431C2214yes—
163#2431C2212yes—
164#2431C2214yes—
165#2430C2212yes—
166#2430C2214yes—
167#2430C2214yes—
168#2428C2214yes—
169#2428C2214yes—
170#2428C2212yes—
171#2428C2212yes—
172#2428C2214yes—
173#2428C2212yes—
174#2428C2212yes—
175#2428C2214yes—
176#2426C2214yes—
177#2420C2214yes—
178#2420C2214yes—
179#2416C2212yes—
180#2416C2212yes—
181#2416C2212yes—
182#2416C2212yes—
183#2414C2212yes—
184#2414C2212yes—
185#2414C2212yes—
186#2414C2214yes—
187#2414C2212yes—
188#2414C2214yes—
189#2407C2214yes—
190#2399C2211yescharacteristic
191#2398C2211yescharacteristic
192#2398C2211yescharacteristic
193#2397C2211yescharacteristic
194#2392C2212yes—
195#2392C2212yes—
196#2388C2212yes—
197#2388C2212yes—
198#2374C2214yes—
199#2372C2214yes—
200#2372C2214yes—
201#2372C2214yes—
202#2372C2214yes—
203#2369C2212yes—
204#2368C2214yes—
205#2367C2214yes—
206#2365C2212yes—
207#2364C2214yes—
208#2364C2214yes—
209#2364C2214yes—
210#2363C2212yes—
211#2363C2214yes—
212#2363C2212yes—
213#2363C2214yes—
214#2361C2212yes—
215#2361C2212yes—
216#2359C2214yes—
217#2357C2212yes—
218#2357C2212yes—
219#2353C2214yes—
220#2353C2214yes—
221#2352C2212yes—
222#2352C2212yes—
223#2347C2212yes—
224#2346C2212yes—
225#2345C2212yes—
226#2344C2212yes—
227#2343C2214yes—
228#2339C2214yes—
229#2339C2214yes—
230#2339C2214yes—
231#2337C2214yes—
232#2335C2214yes—
233#2333C2214yes—
234#2332C2214yes—
235#2331C2212yes—
236#2331C2212yes—
237#2328C2212yes—
238#2328C2212yes—
239#2324C2212yes—
240#2324C2212yes—
241#2319C2212yes—
242#2319C2212yes—
243C4×#127C2212yes—
244C4×#124C2214yes—
245C4×#124C2212yes—
246C4×#123C2214yes—
247C4×#121C2212yes—
248C4×#121C2212yes—
249C4×#121C2212yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yes—
255#2298C2214yes—
256#2297C2212yes—
257#2297C2214yes—
258#2290C2212yes—
259#2290C2212yes—
260#2283C2212yes—
261#2275C2212yes—
262#2275C2212yes—
263#2274C2212yes—
264C4×#117C2211yescharacteristic
265C2×C4×C4⋊C4C2211yescharacteristic
266C2×#376C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2314yes—
269C22×#41C2314yes—
270C22×#41C2312yes—
271C22×#41C2312yes—
272#555—216no—
273#550—416no—
274#547—216no—
275#540—48no—
276#532—216no—
277#532—44no—
278#532—44no—
279#532—48no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2314yes—
287C2×#127C2314yes—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2314yes—
293#529—44no—
294C2×#126C2312yes—
295C2×#125C2312yes—
296C2×#125C2311yescharacteristic
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300C2×#124C2311yescharacteristic
301C2×#124C2312yes—
302C2×#124C2314yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2314yes—
308C2×#124C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2311yescharacteristic
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C4×#41—44no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2314yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2312yes—
394#400C2314yes—
395#400C2311yescharacteristic
396#400C2311yescharacteristic
397#400C2312yes—
398#399C2311yescharacteristic
399#399C2311yescharacteristic
400#399C2312yes—
401#398C2311yescharacteristic
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2311yescharacteristic
406#398C2312yes—
407#398C2312yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2312yes—
412#397C2311yescharacteristic
413#397C2311yescharacteristic
414#397C2312yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#395C2311yescharacteristic
423#395C2311yescharacteristic
424#395C2312yes—
425#395C2312yes—
426#395C2314yes—
427#395C2314yes—
428#395C2312yes—
429#395C2314yes—
430#394C2314yes—
431#394C2312yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2312yes—
438#394C2312yes—
439#394C2311yescharacteristic
440#394C2311yescharacteristic
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#393C2312yes—
457#393C2312yes—
458#393C2311yescharacteristic
459#393C2311yescharacteristic
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#392C2314yes—
464#392C2314yes—
465#392C2312yes—
466#392C2312yes—
467#392C2312yes—
468#392C2311yescharacteristic
469#392C2311yescharacteristic
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2312yes—
475#392C2312yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#391C2312yes—
491#391C2314yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#386C2312yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#384C2312yes—
657#383C2314yes—
658#383C2314yes—
659#382C2312yes—
660#382C2312yes—
661#382C2312yes—
662#382C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#381C2314yes—
667#381C2314yes—
668#381C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728#376C2311yescharacteristic
729#376C2311yescharacteristic
730#376C2312yes—
731#376C2312yes—
732#376C2314yes—
733#376C2312yes—
734#376C2311yescharacteristic
735#376C2311yescharacteristic
736#376C2314yes—
737C2×#95C2311yescharacteristic
738C2×#95C2311yescharacteristic
739C2×#95C2314yes—
740C2×#95C2312yes—
741C2×#95C2312yes—
742C2×#95C2314yes—
743C43C2312yes—
744C2×#41—216no—
745C2×#41—216no—
746C2×#41—24no—
747C2×#41—42no—
748C2×#41—44no—
749C2×#41—44no—
750C2×#41—44no—
751C2×#41—48no—
752C2×#41—48no—
753C2×#41—42no—
754C2×#41—44no—
755C2×#41—84no—
756C2×#41—84no—
757C2×#41—84no—
758C22×Q8C2411yescharacteristic
759C22×Q8C2412yes—
760C22×Q8C2411yescharacteristic
761C22×Q8C2412yes—
762C22×Q8C2414yes—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2411yescharacteristic
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2414yes—
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2412yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C23×C4C2414yes—
809C23×C4C2411yescharacteristic
810C4⋊Q8—42no—
811C4⋊Q8—42no—
812C4⋊Q8—44no—
813C4⋊Q8#41116yescomplemented
814#127—28no—
815#127—28no—
816#127—42no—
817#127—42no—
818#127—44no—
819#127—44no—
820#127—48no—
821#127—48no—
822#127—84no—
823#126—44no—
824#125—42no—
825#125—44no—
826#124—216no—
827#124—216no—
828#124—216no—
829#124—42no—
830#124—44no—
831#124—44no—
832#124—44no—
833#124—44no—
834#124—48no—
835#124—44no—
836#124—84no—
837#124—84no—
838#123—216no—
839#123—216no—
840#123—44no—
841#123—48no—
842#123—48no—
843C22⋊Q8—216no—
844C22⋊Q8—42no—
845#121—216no—
846#121—28no—
847#121—28no—
848#121—28no—
849#121—216no—
850#121—28no—
851#121—28no—
852#121—28no—
853#121—28no—
854#121—216no—
855#121—42no—
856#121—44no—
857#121—44no—
858#121—48no—
859#121—48no—
860#121—44no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—44no—
867#121—44no—
868#121—44no—
869#121—44no—
870#121—48no—
871#121—84no—
872#121—84no—
873#121—84no—
874#121—84no—
875#121—84no—
876C4×Q8—42no—
877C4×Q8—42no—
878C4×Q8—42no—
879C4×Q8—48no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—216no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—48no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—42no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901C4×D4—48no—
902C4×D4—48no—
903C4×D4—48no—
904C4×D4—84no—
905C4×D4—84no—
906C4×D4—84no—
907#117—28no—
908#117—28no—
909#117—216no—
910#117—28no—
911#117—42no—
912#117—42no—
913#117—42no—
914#117—84no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C42—28no—
1020C2×C42—24no—
1021C2×C42—24no—
1022C2×C42—24no—
1023C2×C42—44no—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105C24C2511yescharacteristic
1106C24C2514yes—
1107C24C2514yes—
1108C24C2512yes—
1109C24C2511yescharacteristic
1110C24C2511yescharacteristic
1111#41—416no—
1112#41—816no—
1113#41—832no—
1114#41—832no—
1115#41—816no—
1116C2×Q8—22no—
1117C2×Q8—22no—
1118C2×Q8—24no—
1119C2×Q8—41no—
1120C2×Q8—44no—
1121C2×Q8—44no—
1122C2×Q8—41no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—42no—
1126C2×Q8—42no—
1127C2×Q8—44no—
1128C2×Q8C2×#41116yes—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—24no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—41no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4H(5,𝔽2)14yes—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—28no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—44no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2514yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—41no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4C2×#4118yes—
1323C4⋊C4C2×#4118yes—
1324C4⋊C4C2×#41116yes—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—28no—
1392C42—28no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—24no—
1404C42—44no—
1405C42—42no—
1406C42—42no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—42no—
1414C42—44no—
1415C42C2×#4118yes—
1416C42H(5,𝔽2)14yes—
1417C23—22no—
1418C23—22no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—24no—
1426C23—24no—
1427C23—22no—
1428C23—22no—
1429C23—24no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—22no—
1437C23—21no—
1438C23—21no—
1439C23—24no—
1440C23—22no—
1441C23—24no—
1442C23—21no—
1443C23—24no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—22no—
1450C23—22no—
1451C23C2×H(5,𝔽2)12yes—
1452C23C2×H(5,𝔽2)12yes—
1453C23C2611yescharacteristic
1454Q8—416no—
1455Q8—44no—
1456Q8—84no—
1457Q8—82no—
1458Q8—84no—
1459D4—44no—
1460D4—44no—
1461D4—416no—
1462D4—416no—
1463D4—416no—
1464D4—48no—
1465D4—44no—
1466D4—48no—
1467D4—48no—
1468D4—88no—
1469D4—88no—
1470D4—84no—
1471D4—88no—
1472D4—84no—
1473D4—88no—
1474D4—88no—
1475D4—84no—
1476D4—84no—
1477D4—88no—
1478D4—84no—
1479D4—82no—
1480D4—84no—
1481D4—88no—
1482D4—164no—
1483D4—164no—
1484D4—164no—
1485D4—164no—
1486C2×C4—28no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—416no—
1547C2×C4—48no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—48no—
1552C2×C4—44no—
1553C2×C4—84no—
1554C2×C4—88no—
1555C2×C4—82no—
1556C2×C4—82no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—88no—
1562C2×C4—88no—
1563C2×C4C22×#4114yes—
1564C2×C4C22×#4114yes—
1565C2×C4C22×#4118yes—
1566C2×C4C22×#4118yes—
1567C2×C4C22×#4114yes—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C2×C4C2×H(5,𝔽2)12yes—
1570C2×C4C2×H(5,𝔽2)12yes—
1571C2×C4C2×H(5,𝔽2)12yes—
1572C2×C4#58512yes—
1573C22—24no—
1574C22—24no—
1575C22—22no—
1576C22—22no—
1577C22—42no—
1578C22—42no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—42no—
1584C22—44no—
1585C22—44no—
1586C22—44no—
1587C22—44no—
1588C22—42no—
1589C22—42no—
1590C22—44no—
1591C22—42no—
1592C22—42no—
1593C22—44no—
1594C22—44no—
1595C22—44no—
1596C22—42no—
1597C22—41no—
1598C22—44no—
1599C22—44no—
1600C22—42no—
1601C22—41no—
1602C22—44no—
1603C22—42no—
1604C22—44no—
1605C22—41no—
1606C22—42no—
1607C22—44no—
1608C22—44no—
1609C22C23×#4112yes—
1610C22C22×H(5,𝔽2)11yescharacteristic
1611C22C22×H(5,𝔽2)11yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22H(7,𝔽2)12yes—
1614C4—24no—
1615C4—28no—
1616C4—28no—
1617C4—24no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—44no—
1623C4—42no—
1624C4—42no—
1625C4—44no—
1626C4—41no—
1627C4—44no—
1628C4—42no—
1629C4—41no—
1630C4—41no—
1631C4—44no—
1632C4—41no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4#348314yes—
1639C2—42no—
1640C2—42no—
1641C2—82no—
1642C2—84no—
1643C2—84no—
1644C2—81no—
1645C2C2×#348311yescharacteristic
1646C2#6281811yescharacteristic
1647C2#6287411yescharacteristic
1648C2#6298312yes—
1649C2#6300612yes—
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. #60048C2semidirect
2. #60038C2semidirect
3. #59726C2semidirect
4. #59620C2semidirect
5. #59419C2semidirect
6. #59236C2semidirect
7. #59232C2semidirect
8. #59097C2semidirect
9. #59056C2semidirect
10. #59051C2semidirect
11. #45437C2semidirect
12. #45408C2semidirect
13. #45378C2semidirect
14. #45364C2semidirect
15. #45020C2semidirect
16. #44933C2semidirect
17. #44326C2semidirect
18. #44242C2semidirect
19. #44158C2semidirect
20. #43481C2semidirect
21. #43425C2semidirect
22. #43389C2semidirect
23. #35571C2semidirect
24. #35571C2semidirect
25. #35567C2semidirect
26. #34977C2semidirect
27. #34937C2semidirect
28. #34876C2semidirect
29. #34306C2semidirect
30. #34298C2semidirect
31. #34222C2semidirect
813. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600482
#600382
#597262
#596202
#594192
#592362
#592322
#590972
#590562
#590512
#454372
#454082
#453782
#453642
#450202
#449332
#443262
#442422
#441582
#434812
#434252
#433892
#355712
#355672
#349772
#349372
#348762
#343062
#342982
#342222