Finite Group Databasebeta

← #7688835

Subgroups — #7688835

Order 512.

6365 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59952C211yesmaximal, characteristic, complemented
2#59947C212yesmaximal, complemented
3#59750C212yesmaximal, complemented
4#59236C212yesmaximal, complemented
5#59160C214yesmaximal, complemented
6#59026C214yesmaximal, complemented
7#45437C211yesmaximal, characteristic, complemented
8#45378C211yesmaximal, characteristic, complemented
9#45208C212yesmaximal, complemented
10#43963C214yesmaximal, complemented
11#43575C212yesmaximal, complemented
12#43265C212yesmaximal, complemented
13#38286C212yesmaximal, complemented
14#38283C214yesmaximal, complemented
15#37954C212yesmaximal, complemented
16#37949C214yesmaximal, complemented
17#36339C214yesmaximal, complemented
18#36289C211yesmaximal, characteristic, complemented
19#36273C212yesmaximal, complemented
20D4×#124C212yesmaximal, complemented
21D4×#121C212yesmaximal, complemented
22#35928C211yesmaximal, characteristic, complemented
23#35903C211yesmaximal, characteristic, complemented
24#35691C212yesmaximal, complemented
25#34874C211yesmaximal, characteristic, complemented
26C2×#2555C212yesmaximal, complemented
27#34290C212yesmaximal, complemented
28#34261C212yesmaximal, complemented
29#34126C212yesmaximal, complemented
30C2×#555C2214yescomplemented
31C2×#554C2211yescharacteristic
32C2×D4×Q8C2211yescharacteristic
33C2×D42C2212yes—
34C2×D42C2212yes—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C22×#124C2214yescomplemented
38C22×#121C2214yescomplemented
39C2×#518C2212yes—
40C22×C4×D4C2212yes—
41#2858C2212yescomplemented
42#2858C2211yescharacteristic, complemented
43#2856C2212yescomplemented
44#2850C2214yescomplemented
45#2850C2212yescomplemented
46#2847C2214yescomplemented
47#2803C2214yescomplemented
48#2803C2214yescomplemented
49#2803C2214yescomplemented
50#2795C2212yescomplemented
51#2785C2212yescomplemented
52#2784C2212yescomplemented
53#2775C2214yescomplemented
54#2756C2214yescomplemented
55#2756C2214yescomplemented
56#2756C2214yescomplemented
57#2737C2214yescomplemented
58#2737C2214yescomplemented
59#2733C2214yescomplemented
60#2733C2212yescomplemented
61#2731C2214yescomplemented
62#2699C2212yescomplemented
63#2699C2212yescomplemented
64#2699C2214yescomplemented
65#2699C2214yescomplemented
66#2699C2214yescomplemented
67#2686C2214yescomplemented
68#2686C2214yescomplemented
69#2686C2214yescomplemented
70#2686C2214yescomplemented
71#2660C2211yescharacteristic, complemented
72#2659C2212yescomplemented
73#2641C2211yescharacteristic, complemented
74#2639C2212yescomplemented
75#2619C2212yescomplemented
76#2617C2214yescomplemented
77#2612C2211yescharacteristic, complemented
78#2610C2214yescomplemented
79#2610C2214yescomplemented
80#2610C2214yescomplemented
81#2610C2212yescomplemented
82#2610C2214yescomplemented
83#2609C2211yescharacteristic, complemented
84#2593C2211yescharacteristic, complemented
85#2591C2212yescomplemented
86#2584C2211yescharacteristic, complemented
87#2583C2212yescomplemented
88#2574C2214yescomplemented
89#2574C2212yescomplemented
90#2567C2211yescharacteristic, complemented
91#2563C2211yescharacteristic, complemented
92#2562C2211yescharacteristic, complemented
93#2555C2211yescharacteristic
94#2555C2212yescomplemented
95#2555C2214yescomplemented
96#2555C2212yescomplemented
97#2555C2212yescomplemented
98#2555C2214yescomplemented
99#2555C2214yescomplemented
100#2555C2214yescomplemented
101#2555C2214yescomplemented
102#2555C2214yescomplemented
103#2555C2212yescomplemented
104#2555C2214yescomplemented
105#2555C2214yescomplemented
106#2551C2212yescomplemented
107#2550C2212yescomplemented
108#2549C2214yescomplemented
109#2548C2212yescomplemented
110#2548C2211yescharacteristic, complemented
111#2548C2211yescharacteristic, complemented
112#2547C2212yescomplemented
113#2543C2214yescomplemented
114#2541C2212yescomplemented
115#2541C2212yescomplemented
116#2537C2212yescomplemented
117#2537C2212yescomplemented
118#2535C2212yescomplemented
119#2531C2212yescomplemented
120#2531C2214yescomplemented
121#2531C2214yescomplemented
122#2529C2212yescomplemented
123#2526C2214yescomplemented
124#2518C2214yescomplemented
125#2518C2214yescomplemented
126#2504C2212yescomplemented
127#2500C2214yescomplemented
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2491C2212yescomplemented
131#2491C2212yescomplemented
132#2491C2214yescomplemented
133#2491C2214yescomplemented
134#2491C2212yescomplemented
135#2490C2212yescomplemented
136#2490C2212yescomplemented
137#2490C2212yescomplemented
138#2476C2214yescomplemented
139#2476C2212yescomplemented
140#2476C2214yescomplemented
141#2476C2214yescomplemented
142#2474C2212yescomplemented
143#2474C2214yescomplemented
144#2472C2214yescomplemented
145#2472C2214yescomplemented
146#2472C2214yescomplemented
147#2472C2214yescomplemented
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2459C2214yescomplemented
153#2459C2214yescomplemented
154#2459C2214yescomplemented
155#2440C2214yescomplemented
156#2436C2214yescomplemented
157#2435C2214yescomplemented
158#2435C2212yescomplemented
159#2435C2212yescomplemented
160#2434C2212yescomplemented
161#2428C2212yescomplemented
162#2428C2212yescomplemented
163#2428C2212yescomplemented
164#2428C2212yescomplemented
165#2424C2214yescomplemented
166#2424C2214yescomplemented
167#2424C2214yescomplemented
168#2424C2214yescomplemented
169#2420C2214yescomplemented
170#2416C2214yescomplemented
171#2416C2212yescomplemented
172#2416C2212yescomplemented
173#2414C2214yescomplemented
174#2414C2214yescomplemented
175#2414C2212yescomplemented
176#2414C2212yescomplemented
177#2414C2214yescomplemented
178#2410C2214yescomplemented
179#2410C2214yescomplemented
180#2410C2214yescomplemented
181#2410C2214yescomplemented
182#2408C2214yescomplemented
183#2408C2214yescomplemented
184#2399C2211yescharacteristic, complemented
185#2398C2211yescharacteristic, complemented
186#2392C2212yescomplemented
187C2×#395C2212yescomplemented
188C2×#394C2212yescomplemented
189C2×#392C2214yescomplemented
190#2372C2214yescomplemented
191#2372C2212yescomplemented
192#2366C2212yescomplemented
193#2364C2214yescomplemented
194#2363C2214yescomplemented
195#2363C2212yescomplemented
196#2363C2214yescomplemented
197#2361C2212yescomplemented
198#2358C2214yescomplemented
199#2358C2214yescomplemented
200#2357C2212yescomplemented
201#2357C2212yescomplemented
202#2357C2212yescomplemented
203#2354C2212yescomplemented
204#2353C2214yescomplemented
205#2353C2214yescomplemented
206#2353C2214yescomplemented
207#2352C2214yescomplemented
208#2352C2212yescomplemented
209#2349C2212yes—
210#2349C2212yes—
211D4×C4⋊C4C2212yes—
212#2347C2212yescomplemented
213#2346C2212yescomplemented
214#2345C2212yescomplemented
215#2345C2212yescomplemented
216#2342C2214yescomplemented
217#2342C2214yescomplemented
218#2342C2214yescomplemented
219#2342C2214yescomplemented
220D4×C22⋊C4C2212yes—
221D4×C22⋊C4C2212yes—
222D4×C22⋊C4C2212yes—
223D4×C22⋊C4C2212yes—
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2214yescomplemented
227#2328C2212yescomplemented
228#2325C2214yescomplemented
229#2324C2212yescomplemented
230#2321C2214yescomplemented
231#2319C2212yescomplemented
232#2318C2214yescomplemented
233#2314C2212yescomplemented
234#2312C2214yescomplemented
235C4×#124C2212yescomplemented
236C4×#124C2211yescharacteristic, complemented
237C4×#121C2212yescomplemented
238C4×#121C2212yescomplemented
239C4×#120C2214yescomplemented
240#2298C2212yescomplemented
241#2293C2212yescomplemented
242#2293C2212yescomplemented
243#2293C2212yescomplemented
244C2×#390C2212yescomplemented
245#2290C2214yescomplemented
246#2290C2214yescomplemented
247#2290C2214yescomplemented
248#2290C2212yescomplemented
249C2×#388C2214yescomplemented
250C2×#386C2214yescomplemented
251#2283C2212yescomplemented
252#2280C2214yescomplemented
253#2275C2211yescharacteristic
254#2275C2211yescharacteristic
255C42×D4C2212yes—
256C42×D4C2211yescharacteristic
257C4×#117C2212yescomplemented
258C2×C4×C22⋊C4C2214yescomplemented
259C23×Q8C2312yes—
260C23×D4C2312yes—
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2314yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2314yes—
267#555—416no—
268#554—44no—
269D4×Q8—44no—
270D42—216no—
271D42—48no—
272D42—44no—
273D42—44no—
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2314yes—
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2311yescharacteristic
281C2×#127C2311yescharacteristic
282C2×#125C2311yescharacteristic
283C2×#125C2311yescharacteristic
284C2×#124—416no—
285C2×#124C2314yes—
286C2×#124C2312yes—
287C2×#124C2314yes—
288C2×#124C2314yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2311yescharacteristic
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×#121—416no—
305C2×#121C2312yes—
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335#518—216no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4—216no—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2314yes—
368C2×#117C2314yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C42C2312yes—
382C22×C42C2314yes—
383C22×C42C2312yes—
384#400C2312yes—
385#400C2311yescharacteristic
386#400C2311yescharacteristic
387#398C2312yes—
388#398C2311yescharacteristic
389#398C2312yes—
390#398C2311yescharacteristic
391#398C2312yes—
392#398C2314yes—
393#398C2314yes—
394#397C2312yes—
395#397C2314yes—
396#397C2314yes—
397#397C2312yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#396C2312yes—
403#396C2314yes—
404#396C2312yes—
405#396C2314yes—
406#395C2312yes—
407#395C2312yes—
408#395C2314yes—
409#395C2312yes—
410#395C2312yes—
411#395C2312yes—
412#395C2314yes—
413#395C2311yescharacteristic
414#395C2312yes—
415#395C2314yes—
416#395C2311yescharacteristic
417#394C2312yes—
418#394C2312yes—
419#394C2312yes—
420#394C2312yes—
421#394C2311yescharacteristic
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2312yes—
431#394C2312yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2312yes—
436#394C2312yes—
437#394C2311yescharacteristic
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#393C2314yes—
453#393C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2312yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2314yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#388C2314yes—
522#388C2312yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2312yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
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#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2314yes—
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#384C2312yes—
632#384C2312yes—
633#383C2314yes—
634#383C2314yes—
635#382C2312yes—
636#382C2312yes—
637#382C2314yes—
638#382C2312yes—
639#382C2312yes—
640#382C2311yescharacteristic
641#381C2314yes—
642#381C2314yes—
643#381C2314yes—
644#381C2314yes—
645#381C2314yes—
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2314yes—
651#380C2314yes—
652#380C2312yes—
653#380C2314yes—
654#380C2312yes—
655#380C2314yes—
656#380C2314yes—
657#380C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#379C2314yes—
662#379C2314yes—
663#379C2314yes—
664#379C2314yes—
665#379C2314yes—
666#379C2314yes—
667C4×C4⋊C4C2311yescharacteristic
668C4×C4⋊C4C2311yescharacteristic
669C4×C4⋊C4C2311yescharacteristic
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2312yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711#376C2311yescharacteristic
712#376C2311yescharacteristic
713#376C2314yes—
714#376C2312yes—
715#376C2312yes—
716#376C2314yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C43C2311yescharacteristic
722C43C2312yes—
723C25C2414yes—
724C25C2414yes—
725C22×Q8—44no—
726C22×Q8—48no—
727C22×Q8C2411yescharacteristic
728C22×Q8C2411yescharacteristic
729C22×Q8C2414yes—
730C22×Q8C2412yes—
731C22×Q8C2412yes—
732C22×D4—28no—
733C22×D4—28no—
734C22×D4—28no—
735C22×D4—28no—
736C22×D4—28no—
737C22×D4—28no—
738C22×D4—216no—
739C22×D4—48no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—48no—
743C22×D4—44no—
744C22×D4—48no—
745C22×D4—48no—
746C22×D4—48no—
747C22×D4—82no—
748C22×D4—84no—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2411yescharacteristic
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2411yescharacteristic
772C23×C4—216no—
773C23×C4—48no—
774C23×C4—84no—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C4⋊Q8—44no—
792C4⋊Q8—42no—
793C4⋊Q8—42no—
794C4⋊Q8—48no—
795#127—28no—
796#127—42no—
797#127—42no—
798#127—44no—
799#125—42no—
800#125—42no—
801#124—28no—
802#124—216no—
803#124—48no—
804#124—48no—
805#124—48no—
806#124—42no—
807#124—48no—
808#124—48no—
809#124—48no—
810#124—48no—
811#124—48no—
812#124—48no—
813#124—44no—
814#124—82no—
815C22⋊Q8—44no—
816C22⋊Q8—48no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820#121—216no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—216no—
825#121—48no—
826#121—48no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—48no—
840#121—44no—
841#121—48no—
842#121—84no—
843#121—84no—
844#120—216no—
845#120—216no—
846#120—48no—
847#120—48no—
848#120—48no—
849#120—48no—
850C4×Q8—42no—
851C4×Q8—42no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—24no—
856C4×D4—24no—
857C4×D4—24no—
858C4×D4—216no—
859C4×D4—216no—
860C4×D4—28no—
861C4×D4—28no—
862C4×D4—216no—
863C4×D4—216no—
864C4×D4—28no—
865C4×D4—28no—
866C4×D4—28no—
867C4×D4—42no—
868C4×D4—42no—
869C4×D4—44no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—84no—
873C4×D4#41116yes—
874#117—28no—
875#117—28no—
876#117—28no—
877#117—48no—
878#117—44no—
879#117—48no—
880#117—48no—
881#117—84no—
882C2×C4⋊C4—28no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C22⋊C4—216no—
926C2×C22⋊C4—216no—
927C2×C22⋊C4—216no—
928C2×C22⋊C4—216no—
929C2×C22⋊C4—48no—
930C2×C22⋊C4—48no—
931C2×C22⋊C4—48no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—48no—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C42—28no—
1003C2×C42—48no—
1004C2×C42—82no—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2411yescharacteristic
1034#95C2411yescharacteristic
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2411yescharacteristic
1047#95C2414yes—
1048#95C2412yes—
1049#95C2411yescharacteristic
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080C24—28no—
1081C24—28no—
1082C24—28no—
1083C24—28no—
1084C24—28no—
1085C24—28no—
1086C24—28no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24C2512yes—
1095C24C2514yes—
1096C24C2514yes—
1097C24C2512yes—
1098C24C2512yes—
1099C2×Q8—24no—
1100C2×Q8—28no—
1101C2×Q8—22no—
1102C2×Q8—41no—
1103C2×Q8—41no—
1104C2×Q8—44no—
1105C2×Q8—42no—
1106C2×Q8—44no—
1107C2×Q8—44no—
1108C2×Q8—41no—
1109C2×Q8—42no—
1110C2×Q8—44no—
1111C2×Q8—816no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—22no—
1138C2×D4—24no—
1139C2×D4—41no—
1140C2×D4—42no—
1141C2×D4—41no—
1142C2×D4—44no—
1143C2×D4—41no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—432no—
1176C2×D4—432no—
1177C2×D4—832no—
1178C2×D4—832no—
1179C2×D4—816no—
1180C2×D4—816no—
1181C2×D4C2×#4118yes—
1182C2×D4H(5,𝔽2)14yes—
1183C22×C4—28no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—28no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—28no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—832no—
1229C22×C4C2×#41116yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—41no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4C2×#4118yes—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—24no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4C2×#41116yes—
1361C22⋊C4H(5,𝔽2)18yes—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—28no—
1366C42—24no—
1367C42—24no—
1368C42—28no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—44no—
1377C42—44no—
1378C42—41no—
1379C42—44no—
1380C42—42no—
1381C42—42no—
1382C42—44no—
1383C42—42no—
1384C42—44no—
1385C42—42no—
1386C42—42no—
1387C42C2×#4118yes—
1388C23—24no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—24no—
1400C23—22no—
1401C23—24no—
1402C23—24no—
1403C23—22no—
1404C23—24no—
1405C23—24no—
1406C23—24no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—24no—
1411C23—24no—
1412C23—24no—
1413C23—22no—
1414C23—24no—
1415C23—24no—
1416C23—24no—
1417C23—22no—
1418C23—416no—
1419C23—416no—
1420C23—416no—
1421C23—416no—
1422C23—416no—
1423C23—88no—
1424C23—88no—
1425C23—88no—
1426C23—88no—
1427C23—88no—
1428C23—88no—
1429C23—88no—
1430C23—88no—
1431C23—88no—
1432C23C22×#4118yes—
1433C23C2×H(5,𝔽2)14yes—
1434C23C2×H(5,𝔽2)14yes—
1435C23C2611yescharacteristic
1436Q8—44no—
1437Q8—82no—
1438Q8—88no—
1439Q8—84no—
1440Q8—162no—
1441D4—416no—
1442D4—48no—
1443D4—48no—
1444D4—44no—
1445D4—44no—
1446D4—416no—
1447D4—416no—
1448D4—48no—
1449D4—48no—
1450D4—88no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—84no—
1455D4—88no—
1456D4—88no—
1457D4—88no—
1458D4—84no—
1459D4—88no—
1460D4—162no—
1461D4—164no—
1462D4—162no—
1463D4#555116yescomplemented
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—24no—
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—21no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—416no—
1523C2×C4—416no—
1524C2×C4—48no—
1525C2×C4—48no—
1526C2×C4—416no—
1527C2×C4—48no—
1528C2×C4—416no—
1529C2×C4—48no—
1530C2×C4—48no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4—88no—
1534C2×C4—88no—
1535C2×C4—88no—
1536C2×C4—84no—
1537C2×C4—84no—
1538C2×C4C22×#4114yes—
1539C2×C4C22×#4114yes—
1540C2×C4C22×#4118yes—
1541C2×C4C22×#4114yes—
1542C2×C4C2×H(5,𝔽2)14yes—
1543C2×C4C2×H(5,𝔽2)14yes—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4#58512yes—
1546C22—28no—
1547C22—24no—
1548C22—28no—
1549C22—24no—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—44no—
1558C22—44no—
1559C22—42no—
1560C22—44no—
1561C22—44no—
1562C22—42no—
1563C22—42no—
1564C22—44no—
1565C22—44no—
1566C22—44no—
1567C22—44no—
1568C22—44no—
1569C22—44no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—44no—
1575C22—42no—
1576C22—44no—
1577C22—44no—
1578C22—832no—
1579C22—1616no—
1580C22C2×#55518yes—
1581C22C23×#4112yes—
1582C22C22×H(5,𝔽2)12yes—
1583C22C22×H(5,𝔽2)11yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22H(7,𝔽2)11yescharacteristic
1586C4—24no—
1587C4—24no—
1588C4—28no—
1589C4—24no—
1590C4—24no—
1591C4—22no—
1592C4—44no—
1593C4—42no—
1594C4—44no—
1595C4—41no—
1596C4—41no—
1597C4—42no—
1598C4—42no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—41no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4C2×#55514yes—
1610C2—28no—
1611C2—44no—
1612C2—84no—
1613C2—84no—
1614C2—82no—
1615C2C22×#55511yescharacteristic
1616C2#6280012yes—
1617C2#6291811yescharacteristic
1618C2#6298312yes—
1619C2#6301111yescharacteristic
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. #59952C2semidirect
2. #59947C2semidirect
3. #59750C2semidirect
4. #59236C2semidirect
5. #59160C2semidirect
6. #59026C2semidirect
7. #45437C2semidirect
8. #45378C2semidirect
9. #45208C2semidirect
10. #43963C2semidirect
11. #43575C2semidirect
12. #43265C2semidirect
13. #38286C2semidirect
14. #38283C2semidirect
15. #37954C2semidirect
16. #37949C2semidirect
17. #36339C2semidirect
18. #36289C2semidirect
19. #36273C2semidirect
20. D4×#124C2semidirect
21. D4×#121C2semidirect
22. #35928C2semidirect
23. #35903C2semidirect
24. #35691C2semidirect
25. #34874C2semidirect
26. C2×#2555C2semidirect
27. #34290C2semidirect
28. #34261C2semidirect
29. #34126C2semidirect
30. C2×#555C22semidirect
37. C22×#124C22semidirect
38. C22×#121C22semidirect
41. #2858C22semidirect
42. #2858C22semidirect
43. #2856C22semidirect
44. #2850C22semidirect
45. #2850C22semidirect
46. #2847C22semidirect
47. #2803C22semidirect
48. #2803C22semidirect
49. #2803C22semidirect
50. #2795C22semidirect
51. #2785C22semidirect
52. #2784C22semidirect
53. #2775C22semidirect
54. #2756C22semidirect
55. #2756C22semidirect
56. #2756C22semidirect
57. #2737C22semidirect
58. #2737C22semidirect
59. #2733C22semidirect
60. #2733C22semidirect
61. #2731C22semidirect
62. #2699C22semidirect
63. #2699C22semidirect
64. #2699C22semidirect
65. #2699C22semidirect
66. #2699C22semidirect
67. #2686C22semidirect
68. #2686C22semidirect
69. #2686C22semidirect
70. #2686C22semidirect
71. #2660C22semidirect
72. #2659C22semidirect
73. #2641C22semidirect
74. #2639C22semidirect
75. #2619C22semidirect
76. #2617C22semidirect
77. #2612C22semidirect
78. #2610C22semidirect
79. #2610C22semidirect
80. #2610C22semidirect
81. #2610C22semidirect
82. #2610C22semidirect
83. #2609C22semidirect
84. #2593C22semidirect
85. #2591C22semidirect
86. #2584C22semidirect
87. #2583C22semidirect
88. #2574C22semidirect
89. #2574C22semidirect
90. #2567C22semidirect
91. #2563C22semidirect
92. #2562C22semidirect
94. #2555C22semidirect
95. #2555C22semidirect
96. #2555C22semidirect
97. #2555C22semidirect
98. #2555C22semidirect
99. #2555C22semidirect
100. #2555C22semidirect
101. #2555C22semidirect
102. #2555C22semidirect
103. #2555C22semidirect
104. #2555C22semidirect
105. #2555C22semidirect
106. #2551C22semidirect
107. #2550C22semidirect
108. #2549C22semidirect
109. #2548C22semidirect
110. #2548C22semidirect
111. #2548C22semidirect
112. #2547C22semidirect
113. #2543C22semidirect
114. #2541C22semidirect
115. #2541C22semidirect
116. #2537C22semidirect
117. #2537C22semidirect
118. #2535C22semidirect
119. #2531C22semidirect
120. #2531C22semidirect
121. #2531C22semidirect
122. #2529C22semidirect
123. #2526C22semidirect
124. #2518C22semidirect
125. #2518C22semidirect
126. #2504C22semidirect
127. #2500C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
130. #2491C22semidirect
131. #2491C22semidirect
132. #2491C22semidirect
133. #2491C22semidirect
134. #2491C22semidirect
135. #2490C22semidirect
136. #2490C22semidirect
137. #2490C22semidirect
138. #2476C22semidirect
139. #2476C22semidirect
140. #2476C22semidirect
141. #2476C22semidirect
142. #2474C22semidirect
143. #2474C22semidirect
144. #2472C22semidirect
145. #2472C22semidirect
146. #2472C22semidirect
147. #2472C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2459C22semidirect
153. #2459C22semidirect
154. #2459C22semidirect
155. #2440C22semidirect
156. #2436C22semidirect
157. #2435C22semidirect
158. #2435C22semidirect
159. #2435C22semidirect
160. #2434C22semidirect
161. #2428C22semidirect
162. #2428C22semidirect
163. #2428C22semidirect
164. #2428C22semidirect
165. #2424C22semidirect
166. #2424C22semidirect
167. #2424C22semidirect
168. #2424C22semidirect
169. #2420C22semidirect
170. #2416C22semidirect
171. #2416C22semidirect
172. #2416C22semidirect
173. #2414C22semidirect
174. #2414C22semidirect
175. #2414C22semidirect
176. #2414C22semidirect
177. #2414C22semidirect
178. #2410C22semidirect
179. #2410C22semidirect
180. #2410C22semidirect
181. #2410C22semidirect
182. #2408C22semidirect
183. #2408C22semidirect
184. #2399C22semidirect
185. #2398C22semidirect
186. #2392C22semidirect
187. C2×#395C22semidirect
188. C2×#394C22semidirect
189. C2×#392C22semidirect
190. #2372C22semidirect
191. #2372C22semidirect
192. #2366C22semidirect
193. #2364C22semidirect
194. #2363C22semidirect
195. #2363C22semidirect
196. #2363C22semidirect
197. #2361C22semidirect
198. #2358C22semidirect
199. #2358C22semidirect
200. #2357C22semidirect
201. #2357C22semidirect
202. #2357C22semidirect
203. #2354C22semidirect
204. #2353C22semidirect
205. #2353C22semidirect
206. #2353C22semidirect
207. #2352C22semidirect
208. #2352C22semidirect
212. #2347C22semidirect
213. #2346C22semidirect
214. #2345C22semidirect
215. #2345C22semidirect
216. #2342C22semidirect
217. #2342C22semidirect
218. #2342C22semidirect
219. #2342C22semidirect
226. D4×C22⋊C4C22semidirect
227. #2328C22semidirect
228. #2325C22semidirect
229. #2324C22semidirect
230. #2321C22semidirect
231. #2319C22semidirect
232. #2318C22semidirect
233. #2314C22semidirect
234. #2312C22semidirect
235. C4×#124C22semidirect
236. C4×#124C22semidirect
237. C4×#121C22semidirect
238. C4×#121C22semidirect
239. C4×#120C22semidirect
240. #2298C22semidirect
241. #2293C22semidirect
242. #2293C22semidirect
243. #2293C22semidirect
244. C2×#390C22semidirect
245. #2290C22semidirect
246. #2290C22semidirect
247. #2290C22semidirect
248. #2290C22semidirect
249. C2×#388C22semidirect
250. C2×#386C22semidirect
251. #2283C22semidirect
252. #2280C22semidirect
257. C4×#117C22semidirect
258. C2×C4×C22⋊C4C22semidirect
1463. D4#555semidirect

Maximal subgroups

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

subgroupindex
#599522
#599472
#597502
#592362
#591602
#590262
#454372
#453782
#452082
#439632
#435752
#432652
#382862
#382832
#379542
#379492
#363392
#362892
#362732
D4×#1242
D4×#1212
#359282
#359032
#356912
#348742
C2×#25552
#342902
#342612
#341262