Finite Group Databasebeta

← #7679888

Subgroups — #7679888

Order 512.

5186 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59316C212yesmaximal, complemented
2#59307C212yesmaximal, complemented
3#59236C212yesmaximal, complemented
4#59221C212yesmaximal, complemented
5#59204C212yesmaximal, complemented
6#59200C212yesmaximal, complemented
7#59022C212yesmaximal, complemented
8#59017C212yesmaximal, complemented
9#44313C214yesmaximal, complemented
10#44185C214yesmaximal, complemented
11#43948C214yesmaximal, complemented
12#43942C214yesmaximal, complemented
13#39544C212yesmaximal, complemented
14#39507C211yesmaximal, characteristic, complemented
15#39419C212yesmaximal, complemented
16#39377C211yesmaximal, characteristic, complemented
17#39194C211yesmaximal, characteristic, complemented
18#39191C211yesmaximal, characteristic, complemented
19#38205C212yesmaximal, complemented
20#38202C212yesmaximal, complemented
21#36594C211yesmaximal, characteristic, complemented
22#36555C211yesmaximal, characteristic, complemented
23#36312C211yesmaximal, characteristic, complemented
24#36270C211yesmaximal, characteristic, complemented
25#35587C212yesmaximal, complemented
26#35549C212yesmaximal, complemented
27#35294C211yesmaximal, characteristic, complemented
28#35268C212yesmaximal, complemented
29#34976C211yesmaximal, characteristic, complemented
30#34935C211yesmaximal, characteristic, complemented
31#34279C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34193C211yesmaximal, characteristic, complemented
34#34125C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×#542C2212yes—
39C2×#535C2211yescharacteristic
40C2×#525C2212yes—
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2868C2211yescharacteristic, complemented
45#2864C2212yescomplemented
46#2860C2212yes—
47#2860C2212yescomplemented
48#2859C2211yescharacteristic, complemented
49#2859C2211yescharacteristic, complemented
50#2859C2211yescharacteristic, complemented
51#2858C2212yes—
52#2803C2214yescomplemented
53#2803C2214yescomplemented
54#2801C2214yescomplemented
55#2800C2214yescomplemented
56#2776C2214yescomplemented
57#2775C2214yescomplemented
58#2757C2214yes—
59#2756C2214yes—
60#2753C2214yescomplemented
61#2745C2214yes—
62#2741C2214yescomplemented
63#2740C2214yes—
64#2735C2214yes—
65#2722C2214yescomplemented
66#2718C2214yescomplemented
67#2711C2214yescomplemented
68#2705C2214yes—
69#2703C2214yes—
70#2694C2214yes—
71#2685C2214yes—
72#2685C2214yes—
73#2674C2214yescomplemented
74#2672C2214yes—
75#2670C2214yes—
76#2629C2212yes—
77#2628C2212yes—
78#2628C2212yescomplemented
79#2624C2212yes—
80#2624C2212yescomplemented
81#2619C2212yes—
82#2609C2214yescomplemented
83#2601C2214yescomplemented
84#2596C2214yescomplemented
85#2587C2214yescomplemented
86#2582C2211yescharacteristic, complemented
87#2577C2214yescomplemented
88#2576C2214yescomplemented
89#2575C2214yes—
90#2573C2214yescomplemented
91#2570C2212yescomplemented
92#2570C2212yescomplemented
93#2562C2212yescomplemented
94#2559C2214yes—
95#2558C2214yescomplemented
96#2555C2214yes—
97#2554C2214yes—
98#2554C2214yes—
99#2553C2214yescomplemented
100#2550C2212yescomplemented
101#2550C2212yescomplemented
102#2547C2212yescomplemented
103#2545C2214yescomplemented
104#2539C2214yes—
105#2538C2211yescharacteristic
106#2538C2211yescharacteristic
107#2538C2211yescharacteristic, complemented
108#2538C2212yescomplemented
109#2538C2211yescharacteristic, complemented
110#2537C2211yescharacteristic
111#2537C2211yescharacteristic
112#2537C2211yescharacteristic, complemented
113#2536C2212yes—
114#2536C2212yescomplemented
115#2535C2212yes—
116#2534C2214yes—
117#2531C2214yescomplemented
118#2529C2214yescomplemented
119#2529C2214yescomplemented
120#2526C2214yes—
121#2526C2214yescomplemented
122#2522C2214yescomplemented
123#2522C2214yescomplemented
124#2521C2214yescomplemented
125#2521C2214yescomplemented
126#2519C2214yescomplemented
127#2519C2214yescomplemented
128#2518C2214yescomplemented
129#2516C2214yescomplemented
130#2516C2214yescomplemented
131#2516C2214yescomplemented
132#2512C2212yes—
133#2512C2212yescomplemented
134#2512C2214yescomplemented
135#2510C2214yescomplemented
136#2508C2212yescomplemented
137#2506C2212yescomplemented
138#2501C2212yescomplemented
139#2500C2212yescomplemented
140#2497C2212yescomplemented
141#2497C2212yescomplemented
142#2496C2212yescomplemented
143#2496C2212yescomplemented
144#2494C2212yescomplemented
145#2494C2212yescomplemented
146#2491C2212yescomplemented
147#2490C2212yes—
148#2490C2212yescomplemented
149#2490C2212yescomplemented
150#2487C2212yescomplemented
151#2486C2212yes—
152#2485C2212yes—
153#2485C2212yes—
154#2485C2212yescomplemented
155#2485C2212yescomplemented
156#2485C2212yescomplemented
157#2480C2214yes—
158#2479C2214yes—
159#2472C2214yes—
160#2468C2214yescomplemented
161#2467C2214yescomplemented
162#2467C2214yescomplemented
163#2467C2214yescomplemented
164#2462C2214yescomplemented
165#2459C2214yescomplemented
166#2459C2214yescomplemented
167#2458C2214yes—
168#2457C2214yescomplemented
169#2454C2212yes—
170#2454C2214yescomplemented
171#2453C2212yescomplemented
172#2448C2212yes—
173#2445C2212yes—
174#2441C2212yes—
175#2441C2212yes—
176#2441C2212yescomplemented
177#2440C2212yescomplemented
178#2439C2212yes—
179#2439C2212yes—
180#2428C2212yes—
181#2426C2212yes—
182#2425C2214yescomplemented
183#2423C2212yescomplemented
184#2423C2212yescomplemented
185#2423C2212yescomplemented
186#2422C2212yes—
187#2420C2214yescomplemented
188#2416C2212yescomplemented
189#2414C2212yescomplemented
190#2414C2212yescomplemented
191#2414C2212yescomplemented
192#2411C2214yes—
193#2408C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2392C2214yes—
197#2392C2214yes—
198#2374C2214yescomplemented
199#2373C2214yescomplemented
200#2373C2214yescomplemented
201#2372C2214yescomplemented
202#2368C2214yescomplemented
203#2367C2214yescomplemented
204#2362C2212yescomplemented
205#2362C2214yescomplemented
206#2360C2212yescomplemented
207#2359C2214yescomplemented
208#2357C2212yes—
209#2357C2212yes—
210#2357C2211yescharacteristic, complemented
211#2357C2211yescharacteristic, complemented
212#2354C2211yescharacteristic
213#2354C2212yes—
214#2354C2212yes—
215#2354C2211yescharacteristic
216#2354C2211yescharacteristic, complemented
217#2354C2212yescomplemented
218#2354C2211yescharacteristic, complemented
219#2352C2212yes—
220#2352C2212yes—
221#2352C2212yescomplemented
222#2351C2211yescharacteristic, complemented
223#2351C2211yescharacteristic, complemented
224Q8×C4⋊C4C2211yescharacteristic, complemented
225Q8×C4⋊C4C2211yescharacteristic, complemented
226D4×C4⋊C4C2211yescharacteristic
227D4×C4⋊C4C2211yescharacteristic
228#2347C2212yes—
229#2347C2211yescharacteristic
230#2347C2211yescharacteristic
231#2347C2212yescomplemented
232#2347C2214yescomplemented
233#2347C2212yescomplemented
234#2346C2212yescomplemented
235#2345C2212yes—
236#2345C2212yescomplemented
237#2342C2214yes—
238#2341C2212yes—
239#2341C2211yescharacteristic
240#2341C2211yescharacteristic
241D4×C22⋊C4C2212yes—
242#2331C2212yescomplemented
243#2330C2212yescomplemented
244#2328C2211yescharacteristic
245#2328C2211yescharacteristic
246#2326C2211yescharacteristic
247#2326C2211yescharacteristic
248#2324C2212yes—
249#2324C2212yes—
250#2324C2212yes—
251#2323C2212yescomplemented
252#2321C2212yes—
253#2321C2212yes—
254#2319C2212yes—
255#2319C2214yes—
256#2319C2212yescomplemented
257#2318C2214yes—
258#2317C2211yescharacteristic
259#2314C2212yescomplemented
260#2311C2211yescharacteristic
261#2309C2211yescharacteristic
262C4×C4⋊Q8C2212yescomplemented
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#124C2211yescharacteristic
266C4×#124C2211yescharacteristic
267C4×#124C2212yes—
268C4×C22⋊Q8C2212yescomplemented
269C4×C22⋊Q8C2212yescomplemented
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#120C2212yes—
277C4×#120C2212yes—
278#2295C2212yescomplemented
279#2293C2212yes—
280#2293C2212yes—
281#2293C2212yes—
282#2293C2211yescharacteristic, complemented
283#2293C2211yescharacteristic, complemented
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2212yescomplemented
287#2283C2211yescharacteristic
288#2283C2212yescomplemented
289#2283C2212yescomplemented
290#2280C2212yes—
291#2280C2212yes—
292C2×#380C2212yes—
293#2276C2212yescomplemented
294#2275C2212yes—
295C42×Q8C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic
298C4×#117C2212yescomplemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#556—48no—
304#552—48no—
305#542—216no—
306#535—28no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#120C2312yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348C4×#41—28no—
349C4×#41—28no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4—28no—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2314yes—
405C22×C42C2312yes—
406C22×C42C2312yes—
407C22×C42C2311yescharacteristic
408#401C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#381C2314yes—
704#381C2312yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#381C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#379C2312yes—
741#379C2312yes—
742#379C2314yes—
743#379C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—42no—
824C2×#41—42no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—42no—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—28no—
846C23×C4—44no—
847C23×C4—44no—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—28no—
865C4⋊Q8—44no—
866C4⋊Q8—82no—
867#127—24no—
868#127—24no—
869#126—216no—
870#126—48no—
871#126—48no—
872#126—48no—
873#126—84no—
874#125—44no—
875#125—44no—
876#125—48no—
877#125—82no—
878#124—24no—
879#124—216no—
880#124—48no—
881#124—84no—
882#124#4118yescomplemented
883#123—216no—
884#123—48no—
885#123—48no—
886#123—84no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—216no—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—84no—
901#120—28no—
902#120—28no—
903#120—48no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—48no—
912C4×Q8—44no—
913C4×Q8—42no—
914C4×Q8—42no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4—84no—
938#117—24no—
939#117—24no—
940#117—28no—
941#117—28no—
942#117—24no—
943#117—28no—
944#117—44no—
945#117—42no—
946#117—48no—
947#117—44no—
948#117—44no—
949#117—44no—
950#117—44no—
951#117—44no—
952#117—82no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—84no—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C42—28no—
1088C2×C42—28no—
1089C2×C42#4118yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2414yes—
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190C24—24no—
1191C24—24no—
1192C24—42no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202#41—416no—
1203#41—416no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—28no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8C2×#4114yes—
1212C2×Q8H(5,𝔽2)14yes—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—416no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4C2×#4114yes—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—816no—
1302C22×C4C2×#4114yes—
1303C22×C4C2×#4114yes—
1304C22×C4C2×#4114yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2514yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2514yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4C2×#4118yes—
1463C22⋊C4C2×#4118yes—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—28no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—41no—
1483C42—42no—
1484C42—41no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—42no—
1493C42—42no—
1494C42—44no—
1495C42—42no—
1496C42—41no—
1497C42—42no—
1498C42—41no—
1499C42C2×#4114yes—
1500C42C2×#4114yes—
1501C42C2×#4114yes—
1502C42C2×#4114yes—
1503C42C2×#4114yes—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—48no—
1538C23—48no—
1539C23—84no—
1540C23—84no—
1541C23—84no—
1542C23—84no—
1543C23—84no—
1544C23C22×#4114yes—
1545C23C22×#4112yes—
1546C23C2611yescharacteristic
1547Q8—28no—
1548Q8—28no—
1549Q8—88no—
1550D4—28no—
1551D4—48no—
1552D4—48no—
1553D4—48no—
1554D4—44no—
1555D4—44no—
1556D4—44no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—88no—
1561D4—84no—
1562D4—88no—
1563D4—88no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—28no—
1581C2×C4—28no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—88no—
1654C2×C4—84no—
1655C2×C4—164no—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C22×#4112yes—
1659C2×C4C22×#4114yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4112yes—
1666C2×C4C2×H(5,𝔽2)14yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4#58512yes—
1669C2×C4#58512yes—
1670C22—24no—
1671C22—24no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—24no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—816no—
1706C22C23×#4111yescharacteristic
1707C22C23×#4111yescharacteristic
1708C22C22×H(5,𝔽2)11yescharacteristic
1709C22C2×#58511yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22H(7,𝔽2)11yescharacteristic
1712C222−1+611yescharacteristic
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—24no—
1717C4—22no—
1718C4—22no—
1719C4—22no—
1720C4—24no—
1721C4—42no—
1722C4—44no—
1723C4—41no—
1724C4—44no—
1725C4—42no—
1726C4—41no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—41no—
1735C4—44no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—44no—
1740C4—42no—
1741C4#347514yes—
1742C4#349414yes—
1743C2—44no—
1744C2—42no—
1745C2—82no—
1746C2—82no—
1747C2—82no—
1748C2C2×#347511yescharacteristic
1749C2C2×#349411yescharacteristic
1750C2#6285611yescharacteristic
1751C2#6292211yescharacteristic
1752C2#6293811yescharacteristic
1753C2#6298611yescharacteristic
1754C2#6299511yescharacteristic
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. #59316C2semidirect
2. #59307C2semidirect
3. #59236C2semidirect
4. #59221C2semidirect
5. #59204C2semidirect
6. #59200C2semidirect
7. #59022C2semidirect
8. #59017C2semidirect
9. #44313C2semidirect
10. #44185C2semidirect
11. #43948C2semidirect
12. #43942C2semidirect
13. #39544C2semidirect
14. #39507C2semidirect
15. #39419C2semidirect
16. #39377C2semidirect
17. #39194C2semidirect
18. #39191C2semidirect
19. #38205C2semidirect
20. #38202C2semidirect
21. #36594C2semidirect
22. #36555C2semidirect
23. #36312C2semidirect
24. #36270C2semidirect
25. #35587C2semidirect
26. #35549C2semidirect
27. #35294C2semidirect
28. #35268C2semidirect
29. #34976C2semidirect
30. #34935C2semidirect
31. #34279C2semidirect
32. #34194C2semidirect
33. #34193C2semidirect
34. #34125C2semidirect
35. C4×#535C2semidirect
36. C2×#556C22semidirect
37. C2×#552C22semidirect
44. #2868C22semidirect
45. #2864C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
49. #2859C22semidirect
50. #2859C22semidirect
52. #2803C22semidirect
53. #2803C22semidirect
54. #2801C22semidirect
55. #2800C22semidirect
56. #2776C22semidirect
57. #2775C22semidirect
60. #2753C22semidirect
62. #2741C22semidirect
65. #2722C22semidirect
66. #2718C22semidirect
67. #2711C22semidirect
73. #2674C22semidirect
78. #2628C22semidirect
80. #2624C22semidirect
82. #2609C22semidirect
83. #2601C22semidirect
84. #2596C22semidirect
85. #2587C22semidirect
86. #2582C22semidirect
87. #2577C22semidirect
88. #2576C22semidirect
90. #2573C22semidirect
91. #2570C22semidirect
92. #2570C22semidirect
93. #2562C22semidirect
95. #2558C22semidirect
99. #2553C22semidirect
100. #2550C22semidirect
101. #2550C22semidirect
102. #2547C22semidirect
103. #2545C22semidirect
107. #2538C22semidirect
108. #2538C22semidirect
109. #2538C22semidirect
112. #2537C22semidirect
114. #2536C22semidirect
117. #2531C22semidirect
118. #2529C22semidirect
119. #2529C22semidirect
121. #2526C22semidirect
122. #2522C22semidirect
123. #2522C22semidirect
124. #2521C22semidirect
125. #2521C22semidirect
126. #2519C22semidirect
127. #2519C22semidirect
128. #2518C22semidirect
129. #2516C22semidirect
130. #2516C22semidirect
131. #2516C22semidirect
133. #2512C22semidirect
134. #2512C22semidirect
135. #2510C22semidirect
136. #2508C22semidirect
137. #2506C22semidirect
138. #2501C22semidirect
139. #2500C22semidirect
140. #2497C22semidirect
141. #2497C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2494C22semidirect
145. #2494C22semidirect
146. #2491C22semidirect
148. #2490C22semidirect
149. #2490C22semidirect
150. #2487C22semidirect
154. #2485C22semidirect
155. #2485C22semidirect
156. #2485C22semidirect
160. #2468C22semidirect
161. #2467C22semidirect
162. #2467C22semidirect
163. #2467C22semidirect
164. #2462C22semidirect
165. #2459C22semidirect
166. #2459C22semidirect
168. #2457C22semidirect
170. #2454C22semidirect
171. #2453C22semidirect
176. #2441C22semidirect
177. #2440C22semidirect
182. #2425C22semidirect
183. #2423C22semidirect
184. #2423C22semidirect
185. #2423C22semidirect
187. #2420C22semidirect
188. #2416C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
198. #2374C22semidirect
199. #2373C22semidirect
200. #2373C22semidirect
201. #2372C22semidirect
202. #2368C22semidirect
203. #2367C22semidirect
204. #2362C22semidirect
205. #2362C22semidirect
206. #2360C22semidirect
207. #2359C22semidirect
210. #2357C22semidirect
211. #2357C22semidirect
216. #2354C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
221. #2352C22semidirect
222. #2351C22semidirect
223. #2351C22semidirect
224. Q8×C4⋊C4C22semidirect
225. Q8×C4⋊C4C22semidirect
231. #2347C22semidirect
232. #2347C22semidirect
233. #2347C22semidirect
234. #2346C22semidirect
236. #2345C22semidirect
242. #2331C22semidirect
243. #2330C22semidirect
251. #2323C22semidirect
256. #2319C22semidirect
259. #2314C22semidirect
262. C4×C4⋊Q8C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
278. #2295C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
286. #2285C22semidirect
288. #2283C22semidirect
289. #2283C22semidirect
293. #2276C22semidirect
295. C42×Q8C22semidirect
296. C42×Q8C22semidirect
298. C4×#117C22semidirect
882. #124#41semidirect

Maximal subgroups

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

subgroupindex
#593162
#593072
#592362
#592212
#592042
#592002
#590222
#590172
#443132
#441852
#439482
#439422
#395442
#395072
#394192
#393772
#391942
#391912
#382052
#382022
#365942
#365552
#363122
#362702
#355872
#355492
#352942
#352682
#349762
#349352
#342792
#341942
#341932
#341252
C4×#5352