Finite Group Databasebeta

← #7720011

Subgroups — #7720011

Order 512.

5961 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51917C214yesmaximal, complemented
2#51914C214yesmaximal, complemented
3#51093C212yesmaximal, complemented
4#51086C212yesmaximal, complemented
5#50718C212yesmaximal, complemented
6#50715C212yesmaximal, complemented
7#43964C212yesmaximal, complemented
8#43963C212yesmaximal, complemented
9#43931C214yesmaximal, complemented
10#43887C214yesmaximal, complemented
11#43080C212yesmaximal, complemented
12#43079C212yesmaximal, complemented
13#39810C212yesmaximal, complemented
14#39808C212yesmaximal, complemented
15#37775C212yesmaximal, complemented
16#37772C212yesmaximal, complemented
17#37696C212yesmaximal, complemented
18#37694C212yesmaximal, complemented
19#37290C212yesmaximal, complemented
20#37290C212yesmaximal, complemented
21#36121C212yesmaximal, complemented
22#36111C212yesmaximal, complemented
23#35304C211yesmaximal, characteristic, complemented
24#35303C212yesmaximal, complemented
25#35276C212yesmaximal, complemented
26#35272C211yesmaximal, characteristic, complemented
27#35129C211yesmaximal, characteristic, complemented
28C2×#2657C211yesmaximal, characteristic, complemented
29#34377C211yesmaximal, characteristic, complemented
30#34364C211yesmaximal, characteristic, complemented
31#34123C211yesmaximal, characteristic, complemented
32C2×#546C2214yes—
33C2×#542C2212yescomplemented
34C2×#540C2212yescomplemented
35C2×#535C2212yes—
36C2×#532C2212yescomplemented
37C22×#127C2211yescharacteristic
38C22×#127C2212yes—
39C2×#529C2212yescomplemented
40C22×#124C2211yescharacteristic
41C22×#124C2212yes—
42C2×C4×#41C2211yescharacteristic
43#2861C2212yescomplemented
44#2858C2212yescomplemented
45#2857C2212yes—
46#2856C2212yescomplemented
47#2856C2212yescomplemented
48#2856C2212yescomplemented
49#2851C2212yes—
50#2850C2212yescomplemented
51#2850C2212yescomplemented
52#2850C2212yescomplemented
53#2803C2214yescomplemented
54#2803C2214yescomplemented
55#2797C2214yescomplemented
56#2797C2214yescomplemented
57#2756C2214yescomplemented
58#2756C2214yescomplemented
59#2753C2214yescomplemented
60#2753C2214yescomplemented
61#2752C2214yescomplemented
62#2749C2214yescomplemented
63#2749C2214yescomplemented
64#2733C2214yescomplemented
65#2730C2214yescomplemented
66#2715C2214yescomplemented
67#2714C2214yescomplemented
68#2714C2214yescomplemented
69#2712C2214yescomplemented
70#2712C2214yescomplemented
71#2710C2214yescomplemented
72#2710C2214yescomplemented
73#2710C2214yescomplemented
74#2709C2214yescomplemented
75#2709C2214yescomplemented
76#2706C2214yescomplemented
77#2706C2214yescomplemented
78#2705C2214yescomplemented
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2700C2214yescomplemented
82#2699C2214yescomplemented
83#2699C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2682C2214yescomplemented
87#2673C2214yescomplemented
88#2673C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2671C2214yescomplemented
92#2671C2214yescomplemented
93#2660C2212yescomplemented
94#2657C2212yes—
95#2657C2212yes—
96#2657C2212yes—
97#2657C2212yes—
98#2657C2212yes—
99#2657C2214yes—
100#2657C2212yes—
101#2647C2212yescomplemented
102#2641C2212yescomplemented
103#2640C2212yescomplemented
104#2632C2212yescomplemented
105#2631C2212yescomplemented
106#2620C2212yescomplemented
107#2619C2212yescomplemented
108#2619C2212yescomplemented
109#2619C2212yescomplemented
110#2612C2214yescomplemented
111#2610C2212yescomplemented
112#2610C2212yescomplemented
113#2610C2214yescomplemented
114#2610C2214yescomplemented
115#2606C2212yescomplemented
116#2605C2212yescomplemented
117#2603C2214yescomplemented
118#2603C2214yescomplemented
119#2602C2214yescomplemented
120#2602C2214yescomplemented
121#2600C2214yescomplemented
122#2592C2212yescomplemented
123#2569C2212yes—
124#2557C2214yescomplemented
125#2557C2214yescomplemented
126#2557C2214yescomplemented
127#2555C2214yescomplemented
128#2555C2214yescomplemented
129#2554C2214yescomplemented
130#2554C2214yescomplemented
131#2549C2212yes—
132#2548C2212yescomplemented
133#2548C2211yescharacteristic, complemented
134#2548C2211yescharacteristic, complemented
135#2544C2214yescomplemented
136#2543C2214yescomplemented
137#2543C2214yescomplemented
138#2541C2212yescomplemented
139#2541C2211yescharacteristic, complemented
140#2541C2211yescharacteristic, complemented
141#2540C2212yescomplemented
142#2521C2214yescomplemented
143#2482C2212yes—
144#2480C2214yes—
145#2480C2214yes—
146#2474C2214yescomplemented
147#2472C2214yes—
148#2471C2214yescomplemented
149#2467C2214yescomplemented
150#2464C2214yescomplemented
151#2464C2214yescomplemented
152#2461C2214yescomplemented
153#2461C2214yescomplemented
154#2459C2214yescomplemented
155#2459C2214yescomplemented
156#2459C2214yescomplemented
157#2456C2214yescomplemented
158#2456C2214yescomplemented
159#2455C2214yescomplemented
160#2448C2212yescomplemented
161#2448C2212yescomplemented
162#2447C2212yescomplemented
163#2447C2212yescomplemented
164#2445C2214yescomplemented
165#2445C2212yescomplemented
166#2445C2212yescomplemented
167#2445C2212yescomplemented
168#2445C2212yescomplemented
169#2438C2214yes—
170#2437C2214yes—
171#2435C2214yes—
172#2431C2214yescomplemented
173#2431C2214yescomplemented
174#2430C2214yescomplemented
175#2430C2214yescomplemented
176#2428C2214yescomplemented
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2428C2214yescomplemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2427C2212yescomplemented
183#2427C2212yescomplemented
184#2426C2212yescomplemented
185#2426C2212yescomplemented
186#2418C2214yes—
187#2414C2214yescomplemented
188#2412C2214yes—
189#2410C2214yes—
190#2410C2214yes—
191#2409C2211yescharacteristic
192#2409C2211yescharacteristic
193#2408C2212yes—
194#2408C2211yescharacteristic
195#2408C2214yes—
196#2408C2211yescharacteristic
197#2408C2212yes—
198#2408C2212yes—
199#2408C2212yes—
200#2407C2214yescomplemented
201#2405C2214yes—
202#2405C2214yes—
203#2404C2212yes—
204C2×#392C2212yes—
205C2×#392C2212yes—
206C2×#392C2214yes—
207#2380C2212yescomplemented
208#2380C2212yescomplemented
209#2379C2214yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2366C2212yescomplemented
213#2366C2212yescomplemented
214#2358C2214yes—
215#2356C2211yescharacteristic, complemented
216#2356C2211yescharacteristic, complemented
217#2353C2211yescharacteristic
218#2353C2211yescharacteristic
219#2353C2211yescharacteristic, complemented
220#2353C2211yescharacteristic, complemented
221#2349C2211yescharacteristic
222#2349C2211yescharacteristic
223#2346C2212yescomplemented
224#2343C2212yes—
225#2343C2212yescomplemented
226#2342C2214yes—
227#2342C2214yes—
228Q8×C22⋊C4C2212yes—
229#2339C2212yes—
230D4×C22⋊C4C2212yes—
231D4×C22⋊C4C2212yes—
232D4×C22⋊C4C2212yes—
233D4×C22⋊C4C2214yes—
234D4×C22⋊C4C2212yes—
235D4×C22⋊C4C2212yes—
236#2337C2212yescomplemented
237#2337C2212yescomplemented
238#2331C2212yescomplemented
239#2330C2212yescomplemented
240#2328C2212yescomplemented
241#2328C2212yescomplemented
242#2328C2214yescomplemented
243#2328C2212yescomplemented
244#2326C2212yescomplemented
245#2326C2212yescomplemented
246#2326C2212yescomplemented
247#2321C2212yes—
248#2321C2212yes—
249#2315C2212yes—
250#2312C2212yes—
251#2309C2212yes—
252#2308C2214yes—
253C4×#127C2212yescomplemented
254C4×#124C2212yescomplemented
255#2295C2212yescomplemented
256#2290C2212yes—
257#2290C2212yescomplemented
258#2285C2211yescharacteristic
259#2283C2211yescharacteristic
260#2283C2211yescharacteristic
261#2283C2211yescharacteristic, complemented
262#2283C2211yescharacteristic, complemented
263C42×D4C2212yes—
264C4×#117C2211yescharacteristic, complemented
265C2×#376C2211yescharacteristic
266C2×#376C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2314yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2312yes—
274C23×D4C2314yes—
275C23×D4C2314yes—
276#546—416no—
277#542—48no—
278#540—48no—
279#535—48no—
280#532—48no—
281C2×C4⋊Q8C2312yes—
282C2×#127—28no—
283C2×#127—48no—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#127C2314yes—
293C2×#127C2312yes—
294C2×#127C2312yes—
295C2×#127C2312yes—
296C2×#127C2312yes—
297#529—48no—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#125C2312yes—
301C2×#124—28no—
302C2×#124—48no—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#124C2312yes—
312C2×#124C2312yes—
313C2×#124C2314yes—
314C2×#124C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#124C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#120C2312yes—
351C2×#120C2314yes—
352C2×#120C2312yes—
353C2×#120C2314yes—
354C4×#41—28no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2312yes—
424#395C2312yes—
425#394C2312yes—
426#394C2314yes—
427#394C2312yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2312yes—
432#394C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2312yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2312yes—
459#393C2312yes—
460#393C2314yes—
461#393C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2312yes—
468#392C2312yes—
469#392C2314yes—
470#392C2314yes—
471#392C2312yes—
472#392C2312yes—
473#392C2314yes—
474#392C2312yes—
475#392C2314yes—
476#392C2312yes—
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#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
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#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2312yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
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#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#384C2312yes—
656#384C2312yes—
657#383C2311yescharacteristic
658#383C2311yescharacteristic
659#383C2312yes—
660#383C2312yes—
661#383C2311yescharacteristic
662#383C2311yescharacteristic
663#382C2312yes—
664#382C2312yes—
665#382C2312yes—
666#382C2312yes—
667#382C2311yescharacteristic
668#382C2311yescharacteristic
669#382C2312yes—
670#381C2312yes—
671#381C2312yes—
672#381C2312yes—
673#381C2314yes—
674#381C2314yes—
675#381C2311yescharacteristic
676#381C2311yescharacteristic
677#380C2311yescharacteristic
678#380C2312yes—
679#380C2314yes—
680#380C2311yescharacteristic
681#380C2314yes—
682#380C2311yescharacteristic
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#380C2311yescharacteristic
688#380C2311yescharacteristic
689#380C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2312yes—
696#379C2312yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2311yescharacteristic
722C4×C22⋊C4C2311yescharacteristic
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725#376C2311yescharacteristic
726#376C2311yescharacteristic
727#376C2312yes—
728#376C2312yes—
729#376C2312yes—
730#376C2312yes—
731#376C2312yes—
732#376C2311yescharacteristic
733#376C2311yescharacteristic
734#376C2311yescharacteristic
735#376C2311yescharacteristic
736#376C2311yescharacteristic
737#376C2311yescharacteristic
738C2×#95C2311yescharacteristic
739C2×#95C2312yes—
740C2×#95C2312yes—
741C2×#95C2311yescharacteristic
742C2×#95C2311yescharacteristic
743C2×#95C2311yescharacteristic
744C43C2312yes—
745C25C2412yes—
746C25C2414yes—
747C2×#41—24no—
748C2×#41—24no—
749C2×#41—42no—
750C2×#41—48no—
751C2×#41—48no—
752C2×#41—84no—
753C22×Q8—24no—
754C22×Q8—44no—
755C22×Q8C2412yes—
756C22×Q8C2411yescharacteristic
757C22×Q8C2414yes—
758C22×Q8C2412yes—
759C22×D4—24no—
760C22×D4—28no—
761C22×D4—28no—
762C22×D4—28no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—44no—
766C22×D4—48no—
767C22×D4—48no—
768C22×D4—44no—
769C22×D4—48no—
770C22×D4—44no—
771C22×D4—48no—
772C22×D4—84no—
773C22×D4—84no—
774C22×D4—84no—
775C22×D4C2411yescharacteristic
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2411yescharacteristic
780C22×D4C2411yescharacteristic
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2412yes—
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2412yes—
813C23×C4C2412yes—
814C23×C4C2411yescharacteristic
815C23×C4C2411yescharacteristic
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2414yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2411yescharacteristic
823C4⋊Q8—28no—
824#127—28no—
825#127—28no—
826#127—24no—
827#127—24no—
828#127—28no—
829#127—28no—
830#127—28no—
831#127—44no—
832#127—44no—
833#127—48no—
834#127—48no—
835#127—44no—
836#127—44no—
837#126—48no—
838#126—48no—
839#125—28no—
840#124—28no—
841#124—28no—
842#124—28no—
843#124—28no—
844#124—28no—
845#124—28no—
846#124—48no—
847#124—48no—
848#124—48no—
849#124—44no—
850#124—44no—
851#124—48no—
852#124—44no—
853#124—44no—
854#124—48no—
855#124—84no—
856#123—48no—
857#123—48no—
858#123—48no—
859#123—48no—
860#123—48no—
861#123—48no—
862#123—84no—
863#123—84no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—48no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—48no—
881#121—48no—
882#121—84no—
883#121—84no—
884#121—84no—
885#121—84no—
886#121—84no—
887#120—216no—
888#120—28no—
889#120—44no—
890#120—48no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—48no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—48no—
911C4×D4—44no—
912C4×D4—84no—
913C4×D4—84no—
914C4×D4—84no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—28no—
919#117—48no—
920#117—44no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C22⋊C4—28no—
955C2×C22⋊C4—28no—
956C2×C22⋊C4—48no—
957C2×C22⋊C4—48no—
958C2×C22⋊C4—48no—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—48no—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C42—24no—
1029C2×C42—24no—
1030C2×C42—28no—
1031C2×C42—28no—
1032C2×C42#4118yescomplemented
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114C24—24no—
1115C24—28no—
1116C24—24no—
1117C24—28no—
1118C24—28no—
1119C24—24no—
1120C24—44no—
1121C24—44no—
1122C24—44no—
1123C24—44no—
1124C24—44no—
1125C24—44no—
1126C24C2514yes—
1127C24C2514yes—
1128C24C2514yes—
1129C24C2511yescharacteristic
1130C24C2511yescharacteristic
1131C24C2511yescharacteristic
1132#41—416no—
1133#41—832no—
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—24no—
1137C2×Q8—24no—
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—28no—
1141C2×Q8—41no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—88no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—28no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—28no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—41no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
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—42no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—88no—
1227C2×D4—816no—
1228C2×D4—816no—
1229C2×D4—816no—
1230C2×D4—832no—
1231C2×D4—832no—
1232C2×D4H(5,𝔽2)14yes—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4C2×#4114yes—
1284C22×C4C2×#4114yes—
1285C22×C4C2×#4114yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2514yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—44no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—44no—
1430C42—42no—
1431C42—44no—
1432C42—42no—
1433C42C2×#4114yes—
1434C42C2×#4114yes—
1435C42C2×#4114yes—
1436C42C2×#4114yes—
1437C42H(5,𝔽2)18yes—
1438C23—22no—
1439C23—22no—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—24no—
1445C23—21no—
1446C23—24no—
1447C23—24no—
1448C23—24no—
1449C23—24no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—21no—
1459C23—24no—
1460C23—24no—
1461C23—24no—
1462C23—21no—
1463C23—24no—
1464C23—22no—
1465C23—24no—
1466C23—24no—
1467C23—24no—
1468C23—24no—
1469C23—24no—
1470C23—416no—
1471C23—48no—
1472C23—84no—
1473C23—88no—
1474C23—88no—
1475C23—88no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—84no—
1480C23—88no—
1481C23—88no—
1482C23C22×#4112yes—
1483C23C2×H(5,𝔽2)12yes—
1484C23C2×H(5,𝔽2)12yes—
1485C23#58512yes—
1486C23C2611yescharacteristic
1487Q8—44no—
1488Q8—48no—
1489Q8—84no—
1490Q8—88no—
1491D4—28no—
1492D4—44no—
1493D4—48no—
1494D4—48no—
1495D4—416no—
1496D4—416no—
1497D4—44no—
1498D4—48no—
1499D4—48no—
1500D4—48no—
1501D4—88no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—88no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—164no—
1517D4—164no—
1518D4—164no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—28no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—82no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—88no—
1592C2×C4—88no—
1593C2×C4—164no—
1594C2×C4—164no—
1595C2×C4—164no—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C2×H(5,𝔽2)14yes—
1603C2×C4C2×H(5,𝔽2)14yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)14yes—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—24no—
1610C22—22no—
1611C22—24no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—44no—
1617C22—44no—
1618C22—44no—
1619C22—41no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—41no—
1624C22—44no—
1625C22—44no—
1626C22—44no—
1627C22—44no—
1628C22—44no—
1629C22—44no—
1630C22—44no—
1631C22—44no—
1632C22—44no—
1633C22—42no—
1634C22—44no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—44no—
1639C22—42no—
1640C22—44no—
1641C22—1616no—
1642C22—168no—
1643C22#349414yes—
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×H(5,𝔽2)12yes—
1647C22C2×#58511yescharacteristic
1648C22H(7,𝔽2)12yes—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—22no—
1653C4—22no—
1654C4—22no—
1655C4—24no—
1656C4—24no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—44no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—44no—
1666C4—44no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4#350814yes—
1674C2—24no—
1675C2—42no—
1676C2—81no—
1677C2—84no—
1678C2—84no—
1679C2—84no—
1680C2C2×#349411yescharacteristic
1681C2C2×#350811yescharacteristic
1682C2#6285511yescharacteristic
1683C2#6291212yes—
1684C2#6292412yes—
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. #51917C2semidirect
2. #51914C2semidirect
3. #51093C2semidirect
4. #51086C2semidirect
5. #50718C2semidirect
6. #50715C2semidirect
7. #43964C2semidirect
8. #43963C2semidirect
9. #43931C2semidirect
10. #43887C2semidirect
11. #43080C2semidirect
12. #43079C2semidirect
13. #39810C2semidirect
14. #39808C2semidirect
15. #37775C2semidirect
16. #37772C2semidirect
17. #37696C2semidirect
18. #37694C2semidirect
19. #37290C2semidirect
20. #37290C2semidirect
21. #36121C2semidirect
22. #36111C2semidirect
23. #35304C2semidirect
24. #35303C2semidirect
25. #35276C2semidirect
26. #35272C2semidirect
27. #35129C2semidirect
28. C2×#2657C2semidirect
29. #34377C2semidirect
30. #34364C2semidirect
31. #34123C2semidirect
33. C2×#542C22semidirect
34. C2×#540C22semidirect
36. C2×#532C22semidirect
39. C2×#529C22semidirect
43. #2861C22semidirect
44. #2858C22semidirect
46. #2856C22semidirect
47. #2856C22semidirect
48. #2856C22semidirect
50. #2850C22semidirect
51. #2850C22semidirect
52. #2850C22semidirect
53. #2803C22semidirect
54. #2803C22semidirect
55. #2797C22semidirect
56. #2797C22semidirect
57. #2756C22semidirect
58. #2756C22semidirect
59. #2753C22semidirect
60. #2753C22semidirect
61. #2752C22semidirect
62. #2749C22semidirect
63. #2749C22semidirect
64. #2733C22semidirect
65. #2730C22semidirect
66. #2715C22semidirect
67. #2714C22semidirect
68. #2714C22semidirect
69. #2712C22semidirect
70. #2712C22semidirect
71. #2710C22semidirect
72. #2710C22semidirect
73. #2710C22semidirect
74. #2709C22semidirect
75. #2709C22semidirect
76. #2706C22semidirect
77. #2706C22semidirect
78. #2705C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2700C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2682C22semidirect
87. #2673C22semidirect
88. #2673C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2671C22semidirect
92. #2671C22semidirect
93. #2660C22semidirect
101. #2647C22semidirect
102. #2641C22semidirect
103. #2640C22semidirect
104. #2632C22semidirect
105. #2631C22semidirect
106. #2620C22semidirect
107. #2619C22semidirect
108. #2619C22semidirect
109. #2619C22semidirect
110. #2612C22semidirect
111. #2610C22semidirect
112. #2610C22semidirect
113. #2610C22semidirect
114. #2610C22semidirect
115. #2606C22semidirect
116. #2605C22semidirect
117. #2603C22semidirect
118. #2603C22semidirect
119. #2602C22semidirect
120. #2602C22semidirect
121. #2600C22semidirect
122. #2592C22semidirect
124. #2557C22semidirect
125. #2557C22semidirect
126. #2557C22semidirect
127. #2555C22semidirect
128. #2555C22semidirect
129. #2554C22semidirect
130. #2554C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2548C22semidirect
135. #2544C22semidirect
136. #2543C22semidirect
137. #2543C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2540C22semidirect
142. #2521C22semidirect
146. #2474C22semidirect
148. #2471C22semidirect
149. #2467C22semidirect
150. #2464C22semidirect
151. #2464C22semidirect
152. #2461C22semidirect
153. #2461C22semidirect
154. #2459C22semidirect
155. #2459C22semidirect
156. #2459C22semidirect
157. #2456C22semidirect
158. #2456C22semidirect
159. #2455C22semidirect
160. #2448C22semidirect
161. #2448C22semidirect
162. #2447C22semidirect
163. #2447C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2445C22semidirect
167. #2445C22semidirect
168. #2445C22semidirect
172. #2431C22semidirect
173. #2431C22semidirect
174. #2430C22semidirect
175. #2430C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
187. #2414C22semidirect
200. #2407C22semidirect
207. #2380C22semidirect
208. #2380C22semidirect
209. #2379C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
215. #2356C22semidirect
216. #2356C22semidirect
219. #2353C22semidirect
220. #2353C22semidirect
223. #2346C22semidirect
225. #2343C22semidirect
236. #2337C22semidirect
237. #2337C22semidirect
238. #2331C22semidirect
239. #2330C22semidirect
240. #2328C22semidirect
241. #2328C22semidirect
242. #2328C22semidirect
243. #2328C22semidirect
244. #2326C22semidirect
245. #2326C22semidirect
246. #2326C22semidirect
253. C4×#127C22semidirect
254. C4×#124C22semidirect
255. #2295C22semidirect
257. #2290C22semidirect
261. #2283C22semidirect
262. #2283C22semidirect
264. C4×#117C22semidirect
266. C2×#376C22semidirect
1032. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#519172
#519142
#510932
#510862
#507182
#507152
#439642
#439632
#439312
#438872
#430802
#430792
#398102
#398082
#377752
#377722
#376962
#376942
#372902
#361212
#361112
#353042
#353032
#352762
#352722
#351292
C2×#26572
#343772
#343642
#341232