Finite Group Databasebeta

← #7710223

Subgroups — #7710223

Order 512.

5292 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59639C211yesmaximal, characteristic, complemented
3#59413C211yesmaximal, characteristic, complemented
4#59411C211yesmaximal, characteristic, complemented
5#59326C212yesmaximal, complemented
6#59147C212yesmaximal, complemented
7#46104C212yesmaximal, complemented
8#46043C212yesmaximal, complemented
9#45549C214yesmaximal, complemented
10#40128C212yesmaximal, complemented
11#40057C212yesmaximal, complemented
12#39242C212yesmaximal, complemented
13#39174C211yesmaximal, characteristic, complemented
14#39171C211yesmaximal, characteristic, complemented
15#39000C212yesmaximal, complemented
16#38978C211yesmaximal, characteristic, complemented
17#38977C211yesmaximal, characteristic, complemented
18#38580C214yesmaximal, complemented
19#38140C214yesmaximal, complemented
20#38056C212yesmaximal, complemented
21#38055C212yesmaximal, complemented
22#37572C212yesmaximal, complemented
23#37084C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36580C211yesmaximal, characteristic, complemented
27#36577C211yesmaximal, characteristic, complemented
28#36143C212yesmaximal, complemented
29#36108C212yesmaximal, complemented
30#36101C211yesmaximal, characteristic
31D4×C22⋊Q8C211yesmaximal, characteristic, complemented
32#35085C212yesmaximal, complemented
33#35080C212yesmaximal, complemented
34#34500C212yesmaximal, complemented
35C2×C4×#124C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic, complemented
38C2×#557C2211yescharacteristic, complemented
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×#529C2212yes—
42C22×#124C2211yescharacteristic
43C2×#525C2212yes—
44C22×C22⋊Q8C2212yes—
45C22×C4×Q8C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47#2864C2212yescomplemented
48#2863C2211yescharacteristic, complemented
49#2863C2211yescharacteristic, complemented
50#2863C2212yescomplemented
51#2862C2211yescharacteristic, complemented
52#2861C2212yescomplemented
53#2860C2212yescomplemented
54#2860C2212yescomplemented
55#2859C2211yescharacteristic, complemented
56#2859C2211yescharacteristic, complemented
57#2858C2211yescharacteristic, complemented
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2212yes—
61#2857C2211yescharacteristic
62#2856C2211yescharacteristic
63#2855C2211yescharacteristic
64#2855C2211yescharacteristic
65#2855C2212yes—
66#2854C2212yes—
67#2854C2212yes—
68#2851C2212yes—
69#2850C2212yes—
70#2850C2212yes—
71#2848C2212yes—
72#2847C2212yes—
73#2837C2214yescomplemented
74#2832C2214yescomplemented
75#2808C2214yescomplemented
76#2798C2214yescomplemented
77#2786C2214yescomplemented
78#2785C2214yescomplemented
79#2782C2214yescomplemented
80#2781C2214yescomplemented
81#2777C2214yescomplemented
82#2772C2214yescomplemented
83#2768C2214yescomplemented
84#2765C2214yescomplemented
85#2764C2214yescomplemented
86#2763C2214yescomplemented
87#2763C2214yescomplemented
88#2759C2214yescomplemented
89#2756C2214yes—
90#2754C2214yescomplemented
91#2753C2214yes—
92#2749C2214yes—
93#2743C2214yescomplemented
94#2739C2214yescomplemented
95#2712C2214yes—
96#2711C2214yescomplemented
97#2711C2214yescomplemented
98#2710C2214yes—
99#2710C2214yescomplemented
100#2706C2214yes—
101#2704C2214yescomplemented
102#2701C2214yescomplemented
103#2696C2214yescomplemented
104#2696C2214yescomplemented
105#2694C2214yescomplemented
106#2694C2214yescomplemented
107#2663C2214yescomplemented
108#2663C2214yescomplemented
109#2653C2214yescomplemented
110#2653C2214yescomplemented
111#2649C2214yescomplemented
112#2649C2214yescomplemented
113#2645C2212yescomplemented
114#2644C2212yes—
115#2641C2212yes—
116#2640C2212yescomplemented
117#2596C2214yescomplemented
118#2592C2212yes—
119#2592C2212yescomplemented
120#2582C2211yescharacteristic, complemented
121#2582C2211yescharacteristic, complemented
122#2582C2212yescomplemented
123#2580C2212yescomplemented
124#2580C2212yescomplemented
125#2574C2214yescomplemented
126#2568C2211yescharacteristic, complemented
127#2568C2212yescomplemented
128#2566C2212yescomplemented
129#2564C2214yes—
130#2564C2214yes—
131#2563C2212yescomplemented
132#2560C2214yescomplemented
133#2557C2214yes—
134#2556C2214yescomplemented
135#2553C2214yescomplemented
136#2550C2212yescomplemented
137#2548C2212yes—
138#2548C2211yescharacteristic, complemented
139#2544C2212yes—
140#2544C2212yes—
141#2542C2211yescharacteristic
142#2541C2211yescharacteristic
143#2538C2211yescharacteristic
144#2538C2211yescharacteristic
145#2534C2214yes—
146#2513C2212yes—
147#2511C2212yescomplemented
148#2510C2214yes—
149#2509C2212yescomplemented
150#2508C2212yescomplemented
151#2505C2214yescomplemented
152#2503C2212yescomplemented
153#2501C2212yescomplemented
154#2499C2212yescomplemented
155#2499C2212yescomplemented
156#2495C2212yescomplemented
157#2494C2212yescomplemented
158#2492C2212yescomplemented
159#2491C2212yescomplemented
160#2489C2212yescomplemented
161#2489C2212yescomplemented
162#2488C2214yes—
163#2481C2214yescomplemented
164#2477C2214yescomplemented
165#2472C2214yes—
166#2470C2214yescomplemented
167#2466C2214yescomplemented
168#2459C2214yes—
169#2458C2214yescomplemented
170#2456C2214yes—
171#2455C2214yescomplemented
172#2454C2212yes—
173#2453C2212yescomplemented
174#2453C2214yescomplemented
175#2452C2212yes—
176#2451C2212yescomplemented
177#2450C2214yes—
178#2450C2214yes—
179#2449C2214yes—
180#2448C2212yes—
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2447C2212yes—
184#2447C2212yescomplemented
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yes—
188#2443C2214yes—
189#2442C2212yes—
190#2442C2214yes—
191#2442C2212yescomplemented
192#2441C2212yescomplemented
193#2440C2212yes—
194#2437C2214yes—
195#2436C2212yes—
196#2436C2212yescomplemented
197#2436C2212yescomplemented
198#2434C2212yescomplemented
199#2433C2212yes—
200#2432C2212yescomplemented
201#2432C2212yescomplemented
202#2432C2212yescomplemented
203#2429C2212yescomplemented
204#2427C2212yescomplemented
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2425C2214yescomplemented
210#2424C2214yes—
211#2423C2212yescomplemented
212#2422C2212yescomplemented
213#2422C2212yescomplemented
214#2421C2212yescomplemented
215#2419C2214yes—
216#2418C2214yes—
217#2418C2214yes—
218#2417C2212yes—
219#2414C2212yes—
220#2412C2214yes—
221#2412C2214yes—
222#2412C2214yes—
223#2409C2212yes—
224#2407C2212yes—
225#2379C2214yescomplemented
226#2376C2214yescomplemented
227#2367C2212yes—
228#2367C2212yescomplemented
229#2366C2212yes—
230#2362C2212yescomplemented
231#2361C2212yes—
232#2361C2212yes—
233#2361C2212yescomplemented
234#2359C2214yescomplemented
235#2358C2214yes—
236#2355C2211yescharacteristic, complemented
237#2355C2212yescomplemented
238#2354C2211yescharacteristic
239#2352C2214yescomplemented
240#2351C2212yescomplemented
241Q8×C4⋊C4C2211yescharacteristic, complemented
242#2349C2214yes—
243#2349C2212yescomplemented
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246Q8×C22⋊C4C2212yes—
247Q8×C22⋊C4C2212yescomplemented
248#2339C2212yescomplemented
249D4×C22⋊C4C2212yes—
250#2337C2214yescomplemented
251#2335C2214yescomplemented
252#2335C2214yescomplemented
253#2328C2212yes—
254#2326C2212yescomplemented
255#2322C2214yescomplemented
256#2322C2214yescomplemented
257#2320C2212yescomplemented
258#2319C2212yes—
259#2318C2214yescomplemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#127C2211yescharacteristic, complemented
264C4×#125C2212yescomplemented
265C4×#124C2211yescharacteristic
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2295C2211yescharacteristic, complemented
286#2295C2211yescharacteristic, complemented
287#2295C2212yescomplemented
288C2×#391C2211yescharacteristic
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291C2×#390C2211yescharacteristic
292C2×#388C2212yes—
293C2×#388C2212yes—
294#2283C2212yes—
295C2×#382C2211yescharacteristic
296C2×C4×C22⋊C4C2212yes—
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2311yescharacteristic
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#559—216no—
305#559—44no—
306#557—44no—
307#550—44no—
308D4×Q8—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317#529—48no—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124—28no—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336#525—48no—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8—48no—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×C4×Q8—44no—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×D4—44no—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×#117C2314yes—
401C2×#117C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421#401C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2314yes—
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#383C2314yes—
724#383C2312yes—
725#383C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2314yes—
731#382C2312yes—
732#382C2314yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2312yes—
745#381C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#379C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—42no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—42no—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4—28no—
854C23×C4—44no—
855C23×C4—44no—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C4⋊Q8—24no—
876C4⋊Q8—42no—
877C4⋊Q8—44no—
878C4⋊Q8—42no—
879C4⋊Q8—44no—
880#127—28no—
881#127—24no—
882#127—44no—
883#126—48no—
884#125—44no—
885#125—44no—
886#125—44no—
887#125—48no—
888#124—24no—
889#124—28no—
890#124—24no—
891#124—28no—
892#124—28no—
893#124—216no—
894#124—24no—
895#124—44no—
896#124—44no—
897#124—44no—
898#124—44no—
899#124#4118yescomplemented
900#123—216no—
901#123—216no—
902#123—48no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907C22⋊Q8—24no—
908C22⋊Q8—28no—
909C22⋊Q8—24no—
910C22⋊Q8—48no—
911C22⋊Q8—44no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919#121—28no—
920#121—28no—
921#121—48no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#120—48no—
927#120—48no—
928C4×Q8—28no—
929C4×Q8—28no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—24no—
933C4×Q8—24no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—42no—
937C4×Q8—42no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×D4—28no—
942C4×D4—216no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—48no—
958C4×D4—48no—
959C4×D4—48no—
960#117—48no—
961#117—44no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—48no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C22⋊C4—28no—
1028C2×C22⋊C4—28no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—44no—
1031C2×C22⋊C4—48no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—44no—
1093C2×C42—42no—
1094C2×C42—42no—
1095C2×C42—42no—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—24no—
1206C24—24no—
1207C24—24no—
1208C24—24no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24C2512yes—
1213C24C2514yes—
1214C24C2512yes—
1215C24C2511yescharacteristic
1216#41—816no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—42no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—44no—
1240C2×Q8—416no—
1241C2×Q8—816no—
1242C2×Q8C2×#4114yes—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—28no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—416no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4C2×#4114yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—28no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—42no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—816no—
1333C22×C4H(5,𝔽2)14yes—
1334C22×C42−1+414yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4C2×#4118yes—
1480C22⋊C4C2×#4118yes—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—28no—
1485C42—24no—
1486C42—24no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—41no—
1507C42—41no—
1508C42—41no—
1509C42—41no—
1510C42—41no—
1511C42—41no—
1512C42—41no—
1513C42—41no—
1514C42—42no—
1515C42—42no—
1516C42—44no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42C2×#4114yes—
1521C42H(5,𝔽2)14yes—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—24no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—24no—
1542C23—22no—
1543C23—24no—
1544C23—22no—
1545C23—24no—
1546C23—48no—
1547C23—48no—
1548C23—48no—
1549C23—48no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23C22×#4114yes—
1554C23C2×H(5,𝔽2)12yes—
1555C23C2×2−1+412yes—
1556C23#58512yes—
1557C23C2611yescharacteristic
1558Q8—28no—
1559Q8—48no—
1560Q8—44no—
1561Q8—48no—
1562Q8—44no—
1563Q8—44no—
1564Q8—84no—
1565Q8—88no—
1566D4—28no—
1567D4—48no—
1568D4—416no—
1569D4—48no—
1570D4—44no—
1571D4—48no—
1572D4—84no—
1573D4—88no—
1574D4—88no—
1575D4—88no—
1576D4—164no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—48no—
1667C2×C4—88no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4—88no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4—88no—
1674C2×C4—88no—
1675C2×C4—164no—
1676C2×C4C22×#4114yes—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×2−1+412yes—
1686C2×C4C2×2−1+412yes—
1687C2×C4#58512yes—
1688C2×C4#58512yes—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—24no—
1696C22—24no—
1697C22—24no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—44no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—44no—
1709C22—42no—
1710C22—44no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—816no—
1717C22#355414yes—
1718C22C23×#4111yescharacteristic
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22C2×#58511yescharacteristic
1724C22C2×#58511yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—24no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—44no—
1737C4—41no—
1738C4—41no—
1739C4—44no—
1740C4—42no—
1741C4—41no—
1742C4—44no—
1743C4—42no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4#352014yes—
1755C4#355814yes—
1756C2—24no—
1757C2—44no—
1758C2—84no—
1759C2—82no—
1760C2C2×#355811yescharacteristic
1761C2C2×#355411yescharacteristic
1762C2C2×#352011yescharacteristic
1763C2#6280011yescharacteristic
1764C2#6281611yescharacteristic
1765C2#6283011yescharacteristic
1766C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36101C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59641C2semidirect
2. #59639C2semidirect
3. #59413C2semidirect
4. #59411C2semidirect
5. #59326C2semidirect
6. #59147C2semidirect
7. #46104C2semidirect
8. #46043C2semidirect
9. #45549C2semidirect
10. #40128C2semidirect
11. #40057C2semidirect
12. #39242C2semidirect
13. #39174C2semidirect
14. #39171C2semidirect
15. #39000C2semidirect
16. #38978C2semidirect
17. #38977C2semidirect
18. #38580C2semidirect
19. #38140C2semidirect
20. #38056C2semidirect
21. #38055C2semidirect
22. #37572C2semidirect
23. #37084C2semidirect
24. #36635C2semidirect
25. #36631C2semidirect
26. #36580C2semidirect
27. #36577C2semidirect
28. #36143C2semidirect
29. #36108C2semidirect
31. D4×C22⋊Q8C2semidirect
32. #35085C2semidirect
33. #35080C2semidirect
34. #34500C2semidirect
35. C2×C4×#124C2semidirect
37. C2×#559C22semidirect
38. C2×#557C22semidirect
47. #2864C22semidirect
48. #2863C22semidirect
49. #2863C22semidirect
50. #2863C22semidirect
51. #2862C22semidirect
52. #2861C22semidirect
53. #2860C22semidirect
54. #2860C22semidirect
55. #2859C22semidirect
56. #2859C22semidirect
57. #2858C22semidirect
73. #2837C22semidirect
74. #2832C22semidirect
75. #2808C22semidirect
76. #2798C22semidirect
77. #2786C22semidirect
78. #2785C22semidirect
79. #2782C22semidirect
80. #2781C22semidirect
81. #2777C22semidirect
82. #2772C22semidirect
83. #2768C22semidirect
84. #2765C22semidirect
85. #2764C22semidirect
86. #2763C22semidirect
87. #2763C22semidirect
88. #2759C22semidirect
90. #2754C22semidirect
93. #2743C22semidirect
94. #2739C22semidirect
96. #2711C22semidirect
97. #2711C22semidirect
99. #2710C22semidirect
101. #2704C22semidirect
102. #2701C22semidirect
103. #2696C22semidirect
104. #2696C22semidirect
105. #2694C22semidirect
106. #2694C22semidirect
107. #2663C22semidirect
108. #2663C22semidirect
109. #2653C22semidirect
110. #2653C22semidirect
111. #2649C22semidirect
112. #2649C22semidirect
113. #2645C22semidirect
116. #2640C22semidirect
117. #2596C22semidirect
119. #2592C22semidirect
120. #2582C22semidirect
121. #2582C22semidirect
122. #2582C22semidirect
123. #2580C22semidirect
124. #2580C22semidirect
125. #2574C22semidirect
126. #2568C22semidirect
127. #2568C22semidirect
128. #2566C22semidirect
131. #2563C22semidirect
132. #2560C22semidirect
134. #2556C22semidirect
135. #2553C22semidirect
136. #2550C22semidirect
138. #2548C22semidirect
147. #2511C22semidirect
149. #2509C22semidirect
150. #2508C22semidirect
151. #2505C22semidirect
152. #2503C22semidirect
153. #2501C22semidirect
154. #2499C22semidirect
155. #2499C22semidirect
156. #2495C22semidirect
157. #2494C22semidirect
158. #2492C22semidirect
159. #2491C22semidirect
160. #2489C22semidirect
161. #2489C22semidirect
163. #2481C22semidirect
164. #2477C22semidirect
166. #2470C22semidirect
167. #2466C22semidirect
169. #2458C22semidirect
171. #2455C22semidirect
173. #2453C22semidirect
174. #2453C22semidirect
176. #2451C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
184. #2447C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
196. #2436C22semidirect
197. #2436C22semidirect
198. #2434C22semidirect
200. #2432C22semidirect
201. #2432C22semidirect
202. #2432C22semidirect
203. #2429C22semidirect
204. #2427C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
209. #2425C22semidirect
211. #2423C22semidirect
212. #2422C22semidirect
213. #2422C22semidirect
214. #2421C22semidirect
225. #2379C22semidirect
226. #2376C22semidirect
228. #2367C22semidirect
230. #2362C22semidirect
233. #2361C22semidirect
234. #2359C22semidirect
236. #2355C22semidirect
237. #2355C22semidirect
239. #2352C22semidirect
240. #2351C22semidirect
241. Q8×C4⋊C4C22semidirect
243. #2349C22semidirect
247. Q8×C22⋊C4C22semidirect
248. #2339C22semidirect
250. #2337C22semidirect
251. #2335C22semidirect
252. #2335C22semidirect
254. #2326C22semidirect
255. #2322C22semidirect
256. #2322C22semidirect
257. #2320C22semidirect
259. #2318C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#127C22semidirect
264. C4×#125C22semidirect
277. C4×#124C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
287. #2295C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
899. #124#41semidirect

Maximal subgroups

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

subgroupindex
#596412
#596392
#594132
#594112
#593262
#591472
#461042
#460432
#455492
#401282
#400572
#392422
#391742
#391712
#390002
#389782
#389772
#385802
#381402
#380562
#380552
#375722
#370842
#366352
#366312
#365802
#365772
#361432
#361082
#361012
D4×C22⋊Q82
#350852
#350802
#345002
C2×C4×#1242