Finite Group Databasebeta

← #7689429

Subgroups — #7689429

Order 512.

5296 conjugacy classes of subgroups.

The subgroup lattice has 1765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59764C212yesmaximal, complemented
2#59729C214yesmaximal, complemented
3#59646C211yesmaximal, characteristic, complemented
4#59275C212yesmaximal, complemented
5#59245C211yesmaximal, characteristic, complemented
6#59234C211yesmaximal, characteristic, complemented
7#59050C212yesmaximal, complemented
8#59018C212yesmaximal, complemented
9#45209C212yesmaximal, complemented
10#45018C212yesmaximal, complemented
11#44278C214yesmaximal, complemented
12#43654C214yesmaximal, complemented
13#40009C212yesmaximal, complemented
14#39934C212yesmaximal, complemented
15#39351C211yesmaximal, characteristic, complemented
16#38978C211yesmaximal, characteristic, complemented
17#38334C214yesmaximal, complemented
18#38250C212yesmaximal, complemented
19#36591C212yesmaximal, complemented
20#36461C212yesmaximal, complemented
21#36410C211yesmaximal, characteristic, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36211C211yesmaximal, characteristic, complemented
24#36208C212yesmaximal, complemented
25#36132C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#35897C212yesmaximal, complemented
28#35800C212yesmaximal, complemented
29#34813C212yesmaximal, complemented
30#34793C211yesmaximal, characteristic, complemented
31#34330C211yesmaximal, characteristic, complemented
32#34285C212yesmaximal, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#542C2212yes—
40C2×#533C2212yescomplemented
41C2×#525C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2861C2214yescomplemented
45#2859C2211yescharacteristic, complemented
46#2858C2212yes—
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic, complemented
49#2854C2212yescomplemented
50#2851C2212yescomplemented
51#2847C2212yes—
52#2803C2214yescomplemented
53#2797C2214yes—
54#2788C2214yes—
55#2779C2214yescomplemented
56#2777C2214yescomplemented
57#2775C2214yescomplemented
58#2772C2214yescomplemented
59#2753C2214yescomplemented
60#2751C2214yescomplemented
61#2749C2214yescomplemented
62#2743C2214yescomplemented
63#2730C2214yes—
64#2730C2214yescomplemented
65#2723C2214yescomplemented
66#2714C2214yes—
67#2697C2214yes—
68#2696C2214yes—
69#2684C2214yes—
70#2678C2214yes—
71#2672C2214yes—
72#2670C2214yes—
73#2648C2214yes—
74#2648C2214yescomplemented
75#2644C2212yes—
76#2624C2212yes—
77#2610C2214yescomplemented
78#2602C2214yescomplemented
79#2597C2214yescomplemented
80#2595C2214yescomplemented
81#2595C2214yescomplemented
82#2588C2214yescomplemented
83#2582C2211yescharacteristic, complemented
84#2576C2214yescomplemented
85#2575C2214yescomplemented
86#2572C2214yescomplemented
87#2568C2212yescomplemented
88#2558C2214yescomplemented
89#2557C2214yes—
90#2557C2214yescomplemented
91#2557C2214yescomplemented
92#2555C2214yescomplemented
93#2554C2214yes—
94#2551C2211yescharacteristic, complemented
95#2551C2211yescharacteristic, complemented
96#2548C2212yes—
97#2548C2211yescharacteristic, complemented
98#2547C2212yescomplemented
99#2542C2212yescomplemented
100#2541C2211yescharacteristic
101#2540C2214yes—
102#2538C2211yescharacteristic
103#2535C2212yes—
104#2532C2214yescomplemented
105#2530C2212yes—
106#2528C2212yescomplemented
107#2526C2214yescomplemented
108#2518C2214yes—
109#2517C2212yescomplemented
110#2516C2214yescomplemented
111#2516C2214yescomplemented
112#2513C2212yes—
113#2513C2212yescomplemented
114#2513C2212yescomplemented
115#2513C2212yescomplemented
116#2512C2212yescomplemented
117#2511C2212yescomplemented
118#2511C2211yescharacteristic, complemented
119#2510C2214yescomplemented
120#2509C2212yescomplemented
121#2509C2212yescomplemented
122#2506C2211yescharacteristic, complemented
123#2500C2212yescomplemented
124#2499C2212yescomplemented
125#2499C2211yescharacteristic, complemented
126#2497C2212yes—
127#2495C2212yescomplemented
128#2495C2212yescomplemented
129#2494C2211yescharacteristic
130#2492C2212yes—
131#2492C2212yescomplemented
132#2491C2212yes—
133#2491C2212yes—
134#2491C2212yescomplemented
135#2491C2212yescomplemented
136#2490C2212yes—
137#2490C2212yescomplemented
138#2490C2212yescomplemented
139#2489C2211yescharacteristic
140#2489C2212yescomplemented
141#2488C2214yescomplemented
142#2488C2214yescomplemented
143#2488C2214yescomplemented
144#2485C2211yescharacteristic
145#2477C2214yescomplemented
146#2476C2214yescomplemented
147#2474C2214yescomplemented
148#2472C2214yes—
149#2472C2214yes—
150#2471C2214yes—
151#2470C2214yescomplemented
152#2465C2214yescomplemented
153#2465C2214yescomplemented
154#2464C2214yescomplemented
155#2460C2212yes—
156#2459C2214yes—
157#2456C2214yes—
158#2452C2212yes—
159#2452C2212yes—
160#2452C2212yescomplemented
161#2448C2212yes—
162#2448C2214yescomplemented
163#2448C2214yescomplemented
164#2448C2212yescomplemented
165#2447C2214yescomplemented
166#2445C2212yes—
167#2445C2212yes—
168#2445C2212yes—
169#2444C2214yescomplemented
170#2441C2212yescomplemented
171#2441C2211yescharacteristic, complemented
172#2439C2212yes—
173#2439C2212yescomplemented
174#2439C2212yescomplemented
175#2433C2212yes—
176#2431C2212yes—
177#2428C2212yes—
178#2426C2214yescomplemented
179#2424C2214yes—
180#2422C2212yes—
181#2422C2212yescomplemented
182#2420C2212yes—
183#2420C2212yescomplemented
184#2418C2214yes—
185#2415C2211yescharacteristic
186#2415C2212yescomplemented
187#2415C2214yescomplemented
188#2414C2212yes—
189#2414C2212yes—
190#2414C2212yes—
191#2414C2212yescomplemented
192#2414C2212yescomplemented
193#2411C2214yes—
194#2407C2212yes—
195#2407C2212yescomplemented
196#2401C2212yescomplemented
197#2398C2214yes—
198#2398C2214yescomplemented
199#2395C2212yes—
200#2374C2214yes—
201#2369C2212yescomplemented
202#2369C2212yescomplemented
203#2368C2214yescomplemented
204#2367C2211yescharacteristic
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2366C2212yes—
208#2366C2212yes—
209#2366C2211yescharacteristic, complemented
210#2365C2212yescomplemented
211#2365C2212yescomplemented
212#2364C2212yes—
213#2364C2214yescomplemented
214#2363C2211yescharacteristic
215#2363C2212yes—
216#2363C2212yescomplemented
217#2363C2212yescomplemented
218#2363C2212yescomplemented
219#2363C2212yescomplemented
220#2363C2212yescomplemented
221#2362C2212yes—
222#2362C2214yescomplemented
223#2361C2212yes—
224#2360C2211yescharacteristic
225#2359C2212yes—
226#2359C2214yes—
227#2359C2214yescomplemented
228#2358C2212yes—
229#2357C2212yes—
230#2357C2214yes—
231#2357C2212yes—
232#2357C2212yescomplemented
233#2357C2212yescomplemented
234#2355C2211yescharacteristic, complemented
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2212yescomplemented
243#2354C2212yescomplemented
244#2352C2211yescharacteristic
245Q8×C4⋊C4C2211yescharacteristic, complemented
246Q8×C4⋊C4C2211yescharacteristic, complemented
247#2349C2211yescharacteristic
248#2347C2212yescomplemented
249#2346C2212yescomplemented
250#2346C2214yescomplemented
251#2342C2212yes—
252#2341C2212yes—
253#2339C2211yescharacteristic
254#2339C2212yescomplemented
255D4×C22⋊C4C2211yescharacteristic
256#2337C2214yes—
257#2334C2214yescomplemented
258#2333C2214yescomplemented
259#2328C2212yes—
260#2320C2212yescomplemented
261#2312C2214yes—
262#2309C2212yes—
263C4×#127C2211yescharacteristic, complemented
264C4×#125C2211yescharacteristic, complemented
265C4×#125C2212yescomplemented
266C4×#126C2214yescomplemented
267C4×#124C2211yescharacteristic
268C4×#124C2214yes—
269C4×#124C2214yescomplemented
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×#123C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yescomplemented
277C4×#120C2212yes—
278#2298C2212yes—
279#2297C2212yescomplemented
280#2297C2212yescomplemented
281#2295C2211yescharacteristic, complemented
282#2293C2212yes—
283#2293C2214yescomplemented
284#2293C2212yescomplemented
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic, complemented
288#2285C2212yescomplemented
289#2280C2212yes—
290#2280C2212yes—
291#2275C2212yescomplemented
292#2274C2212yes—
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#555—48no—
304#550—28no—
305#546—28no—
306#542—216no—
307#533—48no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2314yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#120C2312yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C4×#41—28no—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2314yes—
364C2×C4×D4—28no—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2314yes—
401C2×#117C2314yes—
402C2×#117C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C42C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411#401C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2312yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2311yescharacteristic
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2311yescharacteristic
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#383C2314yes—
697#383C2314yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#381C2312yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#379C2314yes—
733#379C2314yes—
734#379C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—42no—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C23×C4—28no—
848C23×C4—44no—
849C23×C4—44no—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C4⋊Q8—28no—
869C4⋊Q8—28no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872#127—28no—
873#127—24no—
874#127—44no—
875#126—216no—
876#125—24no—
877#125—44no—
878#125—44no—
879#124—28no—
880#124—24no—
881#124—216no—
882#124—48no—
883#124—48no—
884#124—48no—
885#124—84no—
886#123—28no—
887#123—216no—
888#123—48no—
889#123—48no—
890#123—84no—
891C22⋊Q8—216no—
892C22⋊Q8—24no—
893C22⋊Q8—48no—
894C22⋊Q8—48no—
895C22⋊Q8—42no—
896C22⋊Q8—44no—
897C22⋊Q8—84no—
898C22⋊Q8#4118yescomplemented
899#121—28no—
900#121—28no—
901#121—24no—
902#121—28no—
903#121—28no—
904#121—216no—
905#121—44no—
906#121—48no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—82no—
912#120—28no—
913#120—48no—
914#120—84no—
915C4×Q8—28no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—48no—
920C4×Q8—44no—
921C4×Q8—48no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—24no—
934C4×D4—48no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—42no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—82no—
944C4×D4—84no—
945C4×D4#4118yes—
946#117—28no—
947#117—24no—
948#117—28no—
949#117—24no—
950#117—28no—
951#117—48no—
952#117—44no—
953#117—42no—
954#117—44no—
955#117—44no—
956#117—44no—
957#117—44no—
958#117—84no—
959#117—82no—
960C2×C4⋊C4—24no—
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⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C42—28no—
1087C2×C42—24no—
1088C2×C42—24no—
1089C2×C42—44no—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2411yescharacteristic
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24—24no—
1194C24—24no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24C2512yes—
1201C24C2514yes—
1202C24C2511yescharacteristic
1203C24C2511yescharacteristic
1204C24C2512yes—
1205#41—416no—
1206#41—816no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—28no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8C2×#4114yes—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—416no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4C2×#4114yes—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—816no—
1318C22×C4C2×#4118yes—
1319C22×C4C2×#4114yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—41no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4C2×#4114yes—
1404C4⋊C4C2×#4114yes—
1405C4⋊C4C2×#4118yes—
1406C4⋊C4H(5,𝔽2)14yes—
1407C22⋊C4—22no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—41no—
1447C22⋊C4—42no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4C2×#4118yes—
1471C22⋊C4C2×#4118yes—
1472C42—22no—
1473C42—22no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—24no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—24no—
1485C42—28no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—28no—
1490C42—22no—
1491C42—22no—
1492C42—24no—
1493C42—24no—
1494C42—42no—
1495C42—42no—
1496C42—44no—
1497C42—44no—
1498C42—42no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—42no—
1504C42—41no—
1505C42—41no—
1506C42—44no—
1507C42—44no—
1508C42C2×#4114yes—
1509C23—22no—
1510C23—21no—
1511C23—22no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—24no—
1522C23—22no—
1523C23—21no—
1524C23—22no—
1525C23—21no—
1526C23—24no—
1527C23—21no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—21no—
1533C23—22no—
1534C23—24no—
1535C23—24no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—24no—
1542C23—48no—
1543C23—48no—
1544C23—84no—
1545C23—84no—
1546C23—84no—
1547C23—84no—
1548C23—84no—
1549C23C22×#4112yes—
1550C23C22×#4114yes—
1551C23C2611yescharacteristic
1552Q8—28no—
1553Q8—44no—
1554Q8—88no—
1555Q8—88no—
1556D4—28no—
1557D4—48no—
1558D4—48no—
1559D4—44no—
1560D4—48no—
1561D4—44no—
1562D4—48no—
1563D4—84no—
1564D4—84no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—88no—
1569D4—164no—
1570D4—164no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—28no—
1586C2×C4—216no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—44no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—82no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—164no—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4114yes—
1668C2×C4C22×#4114yes—
1669C2×C4C22×#4112yes—
1670C2×C4C22×#4114yes—
1671C2×C4C22×#4112yes—
1672C2×C4C22×#4112yes—
1673C2×C4C22×#4112yes—
1674C2×C4C2×H(5,𝔽2)14yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4#58512yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C22—22no—
1680C22—24no—
1681C22—24no—
1682C22—22no—
1683C22—22no—
1684C22—24no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—41no—
1690C22—42no—
1691C22—42no—
1692C22—41no—
1693C22—44no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—44no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—44no—
1705C22—41no—
1706C22—44no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—44no—
1711C22—44no—
1712C22—42no—
1713C22—41no—
1714C22—816no—
1715C22C23×#4111yescharacteristic
1716C22C23×#4111yescharacteristic
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22H(7,𝔽2)11yescharacteristic
1722C4—24no—
1723C4—22no—
1724C4—22no—
1725C4—24no—
1726C4—24no—
1727C4—22no—
1728C4—24no—
1729C4—41no—
1730C4—42no—
1731C4—44no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—41no—
1737C4—42no—
1738C4—44no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—41no—
1747C4—44no—
1748C4—41no—
1749C4—42no—
1750C4#347514yes—
1751C4#351414yes—
1752C2—44no—
1753C2—42no—
1754C2—84no—
1755C2—81no—
1756C2—82no—
1757C2C2×#347511yescharacteristic
1758C2C2×#351411yescharacteristic
1759C2#6279311yescharacteristic
1760C2#6296611yescharacteristic
1761C2#6298611yescharacteristic
1762C2#6300811yescharacteristic
1763C2#6302111yescharacteristic
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. #59764C2semidirect
2. #59729C2semidirect
3. #59646C2semidirect
4. #59275C2semidirect
5. #59245C2semidirect
6. #59234C2semidirect
7. #59050C2semidirect
8. #59018C2semidirect
9. #45209C2semidirect
10. #45018C2semidirect
11. #44278C2semidirect
12. #43654C2semidirect
13. #40009C2semidirect
14. #39934C2semidirect
15. #39351C2semidirect
16. #38978C2semidirect
17. #38334C2semidirect
18. #38250C2semidirect
19. #36591C2semidirect
20. #36461C2semidirect
21. #36410C2semidirect
22. #36273C2semidirect
23. #36211C2semidirect
24. #36208C2semidirect
25. #36132C2semidirect
26. #36101C2semidirect
27. #35897C2semidirect
28. #35800C2semidirect
29. #34813C2semidirect
30. #34793C2semidirect
31. #34330C2semidirect
32. #34285C2semidirect
33. #34186C2semidirect
34. C4×#546C2semidirect
35. #34129C2semidirect
36. C2×#555C22semidirect
40. C2×#533C22semidirect
44. #2861C22semidirect
45. #2859C22semidirect
48. #2856C22semidirect
49. #2854C22semidirect
50. #2851C22semidirect
52. #2803C22semidirect
55. #2779C22semidirect
56. #2777C22semidirect
57. #2775C22semidirect
58. #2772C22semidirect
59. #2753C22semidirect
60. #2751C22semidirect
61. #2749C22semidirect
62. #2743C22semidirect
64. #2730C22semidirect
65. #2723C22semidirect
74. #2648C22semidirect
77. #2610C22semidirect
78. #2602C22semidirect
79. #2597C22semidirect
80. #2595C22semidirect
81. #2595C22semidirect
82. #2588C22semidirect
83. #2582C22semidirect
84. #2576C22semidirect
85. #2575C22semidirect
86. #2572C22semidirect
87. #2568C22semidirect
88. #2558C22semidirect
90. #2557C22semidirect
91. #2557C22semidirect
92. #2555C22semidirect
94. #2551C22semidirect
95. #2551C22semidirect
97. #2548C22semidirect
98. #2547C22semidirect
99. #2542C22semidirect
104. #2532C22semidirect
106. #2528C22semidirect
107. #2526C22semidirect
109. #2517C22semidirect
110. #2516C22semidirect
111. #2516C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2513C22semidirect
116. #2512C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2510C22semidirect
120. #2509C22semidirect
121. #2509C22semidirect
122. #2506C22semidirect
123. #2500C22semidirect
124. #2499C22semidirect
125. #2499C22semidirect
127. #2495C22semidirect
128. #2495C22semidirect
131. #2492C22semidirect
134. #2491C22semidirect
135. #2491C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
140. #2489C22semidirect
141. #2488C22semidirect
142. #2488C22semidirect
143. #2488C22semidirect
145. #2477C22semidirect
146. #2476C22semidirect
147. #2474C22semidirect
151. #2470C22semidirect
152. #2465C22semidirect
153. #2465C22semidirect
154. #2464C22semidirect
160. #2452C22semidirect
162. #2448C22semidirect
163. #2448C22semidirect
164. #2448C22semidirect
165. #2447C22semidirect
169. #2444C22semidirect
170. #2441C22semidirect
171. #2441C22semidirect
173. #2439C22semidirect
174. #2439C22semidirect
178. #2426C22semidirect
181. #2422C22semidirect
183. #2420C22semidirect
186. #2415C22semidirect
187. #2415C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
195. #2407C22semidirect
196. #2401C22semidirect
198. #2398C22semidirect
201. #2369C22semidirect
202. #2369C22semidirect
203. #2368C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
209. #2366C22semidirect
210. #2365C22semidirect
211. #2365C22semidirect
213. #2364C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2363C22semidirect
220. #2363C22semidirect
222. #2362C22semidirect
227. #2359C22semidirect
232. #2357C22semidirect
233. #2357C22semidirect
234. #2355C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
245. Q8×C4⋊C4C22semidirect
246. Q8×C4⋊C4C22semidirect
248. #2347C22semidirect
249. #2346C22semidirect
250. #2346C22semidirect
254. #2339C22semidirect
257. #2334C22semidirect
258. #2333C22semidirect
260. #2320C22semidirect
263. C4×#127C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
266. C4×#126C22semidirect
269. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
279. #2297C22semidirect
280. #2297C22semidirect
281. #2295C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
287. #2285C22semidirect
288. #2285C22semidirect
291. #2275C22semidirect
293. C42×Q8C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
898. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#597642
#597292
#596462
#592752
#592452
#592342
#590502
#590182
#452092
#450182
#442782
#436542
#400092
#399342
#393512
#389782
#383342
#382502
#365912
#364612
#364102
#362732
#362112
#362082
#361322
#361012
#358972
#358002
#348132
#347932
#343302
#342852
#341862
C4×#5462
#341292