Finite Group Databasebeta

← #7686299

Subgroups — #7686299

Order 512.

5257 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59678C211yesmaximal, characteristic, complemented
2#59532C214yesmaximal, complemented
3#59484C212yesmaximal, complemented
4#59234C211yesmaximal, characteristic, complemented
5#59230C211yesmaximal, characteristic, complemented
6#59204C212yesmaximal, complemented
7#59201C212yesmaximal, complemented
8#59138C212yesmaximal, complemented
9#45008C212yesmaximal, complemented
10#44874C212yesmaximal
11#43678C214yesmaximal, complemented
12#43674C214yesmaximal, complemented
13#39911C212yesmaximal, complemented
14#39908C212yesmaximal, complemented
15#39350C211yesmaximal, characteristic, complemented
16#39096C214yesmaximal, complemented
17#39070C212yesmaximal, complemented
18#38940C211yesmaximal, characteristic, complemented
19#36514C212yesmaximal, complemented
20#36490C212yesmaximal, complemented
21#36270C211yesmaximal, characteristic, complemented
22#36210C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36161C211yesmaximal, characteristic, complemented
25#36156C212yesmaximal, complemented
26#36132C211yesmaximal, characteristic, complemented
27#35970C212yesmaximal, complemented
28#35726C212yesmaximal, complemented
29#34946C212yesmaximal, complemented
30#34898C211yesmaximal, characteristic, complemented
31#34285C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#552C2212yescomplemented
38C2×D42C2211yescharacteristic
39C2×#542C2212yes—
40C2×#533C2212yescomplemented
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2212yes—
44#2866C2214yescomplemented
45#2860C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2857C2211yescharacteristic, complemented
48#2857C2211yescharacteristic, complemented
49#2851C2212yescomplemented
50#2848C2212yescomplemented
51#2848C2212yescomplemented
52#2796C2214yescomplemented
53#2784C2214yescomplemented
54#2775C2214yescomplemented
55#2775C2214yescomplemented
56#2765C2214yescomplemented
57#2764C2214yescomplemented
58#2751C2214yescomplemented
59#2750C2214yescomplemented
60#2745C2214yescomplemented
61#2740C2214yescomplemented
62#2737C2214yescomplemented
63#2736C2214yescomplemented
64#2736C2214yescomplemented
65#2735C2214yescomplemented
66#2717C2214yescomplemented
67#2698C2214yescomplemented
68#2697C2214yes—
69#2690C2214yescomplemented
70#2685C2214yes—
71#2684C2214yes—
72#2681C2214yes—
73#2653C2214yescomplemented
74#2652C2214yescomplemented
75#2640C2212yescomplemented
76#2625C2212yescomplemented
77#2601C2214yescomplemented
78#2597C2214yescomplemented
79#2597C2214yescomplemented
80#2595C2214yescomplemented
81#2589C2214yescomplemented
82#2589C2214yescomplemented
83#2578C2214yescomplemented
84#2578C2214yescomplemented
85#2577C2214yescomplemented
86#2577C2212yescomplemented
87#2577C2214yescomplemented
88#2575C2212yescomplemented
89#2574C2214yescomplemented
90#2572C2214yescomplemented
91#2572C2214yescomplemented
92#2570C2211yescharacteristic, complemented
93#2565C2211yescharacteristic, complemented
94#2563C2212yescomplemented
95#2563C2212yescomplemented
96#2563C2212yescomplemented
97#2562C2212yes—
98#2562C2211yescharacteristic
99#2562C2212yescomplemented
100#2562C2212yescomplemented
101#2561C2214yescomplemented
102#2561C2214yescomplemented
103#2560C2214yescomplemented
104#2559C2214yes—
105#2558C2214yescomplemented
106#2551C2211yescharacteristic, complemented
107#2551C2211yescharacteristic, complemented
108#2547C2211yescharacteristic, complemented
109#2547C2211yescharacteristic, complemented
110#2547C2212yescomplemented
111#2547C2212yescomplemented
112#2544C2212yes—
113#2538C2211yescharacteristic, complemented
114#2538C2211yescharacteristic, complemented
115#2536C2211yescharacteristic
116#2536C2212yescomplemented
117#2533C2214yescomplemented
118#2531C2214yescomplemented
119#2524C2212yescomplemented
120#2523C2214yescomplemented
121#2521C2214yescomplemented
122#2515C2214yescomplemented
123#2515C2214yescomplemented
124#2514C2212yescomplemented
125#2513C2212yescomplemented
126#2511C2212yescomplemented
127#2510C2214yescomplemented
128#2509C2212yescomplemented
129#2508C2212yescomplemented
130#2506C2212yescomplemented
131#2503C2214yescomplemented
132#2496C2211yescharacteristic, complemented
133#2496C2212yescomplemented
134#2495C2212yescomplemented
135#2495C2211yescharacteristic, complemented
136#2495C2212yescomplemented
137#2495C2212yescomplemented
138#2494C2212yescomplemented
139#2494C2212yescomplemented
140#2492C2212yescomplemented
141#2492C2212yescomplemented
142#2492C2212yescomplemented
143#2491C2212yes—
144#2487C2212yescomplemented
145#2486C2212yescomplemented
146#2485C2212yes—
147#2485C2212yescomplemented
148#2485C2212yescomplemented
149#2485C2212yescomplemented
150#2485C2212yescomplemented
151#2480C2214yescomplemented
152#2480C2214yescomplemented
153#2480C2214yescomplemented
154#2480C2214yescomplemented
155#2477C2214yescomplemented
156#2474C2214yescomplemented
157#2473C2214yescomplemented
158#2472C2214yes—
159#2469C2214yescomplemented
160#2468C2212yes—
161#2468C2214yescomplemented
162#2466C2214yescomplemented
163#2466C2214yescomplemented
164#2465C2214yescomplemented
165#2465C2214yescomplemented
166#2460C2214yes—
167#2458C2214yescomplemented
168#2453C2214yescomplemented
169#2452C2212yes—
170#2452C2212yes—
171#2451C2212yescomplemented
172#2448C2212yescomplemented
173#2447C2212yes—
174#2447C2212yes—
175#2447C2212yescomplemented
176#2445C2212yes—
177#2440C2212yescomplemented
178#2439C2212yescomplemented
179#2439C2212yescomplemented
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2435C2212yes—
183#2435C2212yes—
184#2435C2214yes—
185#2426C2212yes—
186#2423C2211yescharacteristic, complemented
187#2421C2211yescharacteristic, complemented
188#2421C2212yescomplemented
189#2419C2214yescomplemented
190#2417C2212yescomplemented
191#2415C2212yes—
192#2415C2212yescomplemented
193#2415C2212yescomplemented
194#2415C2212yescomplemented
195#2405C2214yes—
196#2402C2212yescomplemented
197#2398C2214yes—
198#2398C2214yescomplemented
199#2395C2212yes—
200#2374C2214yescomplemented
201#2373C2214yescomplemented
202#2370C2212yescomplemented
203#2369C2212yescomplemented
204#2368C2214yescomplemented
205#2367C2212yes—
206#2367C2212yescomplemented
207#2367C2212yescomplemented
208#2367C2212yescomplemented
209#2366C2211yescharacteristic
210#2365C2211yescharacteristic, complemented
211#2365C2212yescomplemented
212#2365C2212yescomplemented
213#2363C2212yes—
214#2362C2214yescomplemented
215#2362C2212yescomplemented
216#2362C2212yescomplemented
217#2361C2211yescharacteristic
218#2361C2212yes—
219#2361C2211yescharacteristic
220#2360C2212yescomplemented
221#2360C2212yescomplemented
222#2359C2214yescomplemented
223#2358C2212yes—
224#2358C2212yes—
225#2357C2212yes—
226#2357C2212yescomplemented
227#2357C2214yescomplemented
228#2356C2212yescomplemented
229#2355C2211yescharacteristic, complemented
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2212yescomplemented
234#2354C2211yescharacteristic, complemented
235#2354C2211yescharacteristic, complemented
236#2354C2212yescomplemented
237#2352C2212yescomplemented
238#2352C2212yescomplemented
239#2352C2212yescomplemented
240#2352C2212yescomplemented
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic, complemented
244D4×C4⋊C4C2211yescharacteristic, complemented
245#2347C2212yescomplemented
246#2347C2212yescomplemented
247#2347C2212yescomplemented
248#2345C2212yescomplemented
249#2345C2212yescomplemented
250#2342C2214yescomplemented
251#2342C2214yescomplemented
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2211yescharacteristic
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256#2337C2214yescomplemented
257#2334C2214yescomplemented
258#2320C2212yescomplemented
259#2319C2212yes—
260#2318C2214yescomplemented
261#2312C2214yescomplemented
262#2309C2212yes—
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#127C2211yescharacteristic
265C4×#125C2211yescharacteristic, complemented
266C4×#126C2212yescomplemented
267C4×#126C2214yescomplemented
268C4×#126C2214yescomplemented
269C4×#124C2212yes—
270C4×#124C2214yescomplemented
271C4×#124C2214yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2211yescharacteristic, complemented
274C4×C22⋊Q8C2211yescharacteristic, complemented
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#120C2212yes—
279C4×#120C2212yes—
280#2298C2212yescomplemented
281#2293C2212yescomplemented
282#2285C2211yescharacteristic, complemented
283#2285C2211yescharacteristic, complemented
284#2285C2211yescharacteristic, complemented
285#2283C2211yescharacteristic, complemented
286#2280C2212yescomplemented
287#2280C2212yescomplemented
288#2280C2212yescomplemented
289#2280C2212yescomplemented
290#2280C2212yescomplemented
291C2×#380C2212yescomplemented
292#2275C2212yescomplemented
293#2274C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×Q8C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yescomplemented
299C23×D4C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2312yes—
303C24×C4C2312yes—
304#556—28no—
305#552—48no—
306D42—28no—
307#542—216no—
308#533—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#120C2312yes—
343C2×#120C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2314yes—
352C2×C4×D4—28no—
353C2×C4×D4—28no—
354C2×C4×D4—48no—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2314yes—
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404#401C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2312yes—
420#399C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2314yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#390C2314yes—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
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#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#383C2312yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2312yes—
679#382C2311yescharacteristic
680#382C2314yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#379C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2312yes—
739#379C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2314yes—
814C2×#95C2314yes—
815C43C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C25C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—28no—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—44no—
830C22×D4—42no—
831C22×D4—42no—
832C22×D4—44no—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C23×C4—28no—
844C23×C4—28no—
845C23×C4—44no—
846C23×C4—44no—
847C23×C4—44no—
848C23×C4—44no—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C4⋊Q8—28no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873#127—24no—
874#126—216no—
875#126—216no—
876#126—48no—
877#126—44no—
878#125—24no—
879#125—28no—
880#125—48no—
881#124—28no—
882#124—216no—
883#124—28no—
884#124—44no—
885#124—48no—
886#123—216no—
887#123—48no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—216no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—42no—
894C22⋊Q8—42no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—24no—
899#121—28no—
900#121#4118yes—
901#120—28no—
902#120—28no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—48no—
908C4×Q8—48no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—42no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—42no—
936C4×D4#4118yes—
937#117—28no—
938#117—28no—
939#117—48no—
940#117—44no—
941#117—44no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—44no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4—28no—
1015C2×C22⋊C4—28no—
1016C2×C22⋊C4—44no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—48no—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—28no—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24—24no—
1189C24—24no—
1190C24—24no—
1191C24—24no—
1192C24—24no—
1193C24—42no—
1194C24—42no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24C2512yes—
1203C24C2512yes—
1204C24C2511yescharacteristic
1205C24C2512yes—
1206C24C2511yescharacteristic
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—28no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—44no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—416no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—416no—
1248C2×D4—432no—
1249C2×D4C2×#4114yes—
1250C2×D4C2×#4114yes—
1251C2×D4C2×#4118yes—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—816no—
1308C22×C4—816no—
1309C22×C4C2×#4114yes—
1310C22×C4C2×#4118yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—41no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4C2×#4114yes—
1402C4⋊C4C2×#4114yes—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—22no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—41no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4C2×#4118yes—
1463C22⋊C4C2×#4118yes—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—24no—
1471C42—28no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—28no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—41no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—41no—
1493C42—44no—
1494C42—42no—
1495C42—44no—
1496C42—42no—
1497C42C2×#4114yes—
1498C42H(5,𝔽2)14yes—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—22no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—48no—
1531C23—48no—
1532C23—48no—
1533C23—48no—
1534C23—48no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23—84no—
1539C23—84no—
1540C23—84no—
1541C23—84no—
1542C23—84no—
1543C23—84no—
1544C23C22×#4112yes—
1545C23C22×#4114yes—
1546C23C22×#4114yes—
1547C23#58512yes—
1548C23C2611yescharacteristic
1549Q8—48no—
1550Q8—44no—
1551Q8—88no—
1552Q8—88no—
1553D4—28no—
1554D4—28no—
1555D4—28no—
1556D4—48no—
1557D4—48no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—44no—
1562D4—84no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—28no—
1576C2×C4—216no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—82no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—88no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—164no—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4114yes—
1662C2×C4C22×#4114yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4112yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4#58512yes—
1671C2×C4#58512yes—
1672C22—22no—
1673C22—24no—
1674C22—24no—
1675C22—22no—
1676C22—24no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—24no—
1681C22—22no—
1682C22—24no—
1683C22—24no—
1684C22—41no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22—41no—
1693C22—41no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—816no—
1708C22—816no—
1709C22C23×#4111yescharacteristic
1710C22C23×#4111yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C222−1+611yescharacteristic
1716C4—22no—
1717C4—22no—
1718C4—24no—
1719C4—24no—
1720C4—22no—
1721C4—22no—
1722C4—42no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—44no—
1730C4—42no—
1731C4—41no—
1732C4—44no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—42no—
1742C4—41no—
1743C4—44no—
1744C4#347514yes—
1745C4#351414yes—
1746C2—44no—
1747C2—42no—
1748C2—44no—
1749C2—42no—
1750C2—82no—
1751C2C2×#347511yescharacteristic
1752C2#6277311yescharacteristic
1753C2C2×#351411yescharacteristic
1754C2#6296011yescharacteristic
1755C2#6299311yescharacteristic
1756C2#6299511yescharacteristic
1757C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59678C2semidirect
2. #59532C2semidirect
3. #59484C2semidirect
4. #59234C2semidirect
5. #59230C2semidirect
6. #59204C2semidirect
7. #59201C2semidirect
8. #59138C2semidirect
9. #45008C2semidirect
11. #43678C2semidirect
12. #43674C2semidirect
13. #39911C2semidirect
14. #39908C2semidirect
15. #39350C2semidirect
16. #39096C2semidirect
17. #39070C2semidirect
18. #38940C2semidirect
19. #36514C2semidirect
20. #36490C2semidirect
21. #36270C2semidirect
22. #36210C2semidirect
23. #36161C2semidirect
24. #36161C2semidirect
25. #36156C2semidirect
26. #36132C2semidirect
27. #35970C2semidirect
28. #35726C2semidirect
29. #34946C2semidirect
30. #34898C2semidirect
31. #34285C2semidirect
32. #34194C2semidirect
33. #34186C2semidirect
34. C4×#556C2semidirect
37. C2×#552C22semidirect
40. C2×#533C22semidirect
44. #2866C22semidirect
45. #2860C22semidirect
46. #2859C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
49. #2851C22semidirect
50. #2848C22semidirect
51. #2848C22semidirect
52. #2796C22semidirect
53. #2784C22semidirect
54. #2775C22semidirect
55. #2775C22semidirect
56. #2765C22semidirect
57. #2764C22semidirect
58. #2751C22semidirect
59. #2750C22semidirect
60. #2745C22semidirect
61. #2740C22semidirect
62. #2737C22semidirect
63. #2736C22semidirect
64. #2736C22semidirect
65. #2735C22semidirect
66. #2717C22semidirect
67. #2698C22semidirect
69. #2690C22semidirect
73. #2653C22semidirect
74. #2652C22semidirect
75. #2640C22semidirect
76. #2625C22semidirect
77. #2601C22semidirect
78. #2597C22semidirect
79. #2597C22semidirect
80. #2595C22semidirect
81. #2589C22semidirect
82. #2589C22semidirect
83. #2578C22semidirect
84. #2578C22semidirect
85. #2577C22semidirect
86. #2577C22semidirect
87. #2577C22semidirect
88. #2575C22semidirect
89. #2574C22semidirect
90. #2572C22semidirect
91. #2572C22semidirect
92. #2570C22semidirect
93. #2565C22semidirect
94. #2563C22semidirect
95. #2563C22semidirect
96. #2563C22semidirect
99. #2562C22semidirect
100. #2562C22semidirect
101. #2561C22semidirect
102. #2561C22semidirect
103. #2560C22semidirect
105. #2558C22semidirect
106. #2551C22semidirect
107. #2551C22semidirect
108. #2547C22semidirect
109. #2547C22semidirect
110. #2547C22semidirect
111. #2547C22semidirect
113. #2538C22semidirect
114. #2538C22semidirect
116. #2536C22semidirect
117. #2533C22semidirect
118. #2531C22semidirect
119. #2524C22semidirect
120. #2523C22semidirect
121. #2521C22semidirect
122. #2515C22semidirect
123. #2515C22semidirect
124. #2514C22semidirect
125. #2513C22semidirect
126. #2511C22semidirect
127. #2510C22semidirect
128. #2509C22semidirect
129. #2508C22semidirect
130. #2506C22semidirect
131. #2503C22semidirect
132. #2496C22semidirect
133. #2496C22semidirect
134. #2495C22semidirect
135. #2495C22semidirect
136. #2495C22semidirect
137. #2495C22semidirect
138. #2494C22semidirect
139. #2494C22semidirect
140. #2492C22semidirect
141. #2492C22semidirect
142. #2492C22semidirect
144. #2487C22semidirect
145. #2486C22semidirect
147. #2485C22semidirect
148. #2485C22semidirect
149. #2485C22semidirect
150. #2485C22semidirect
151. #2480C22semidirect
152. #2480C22semidirect
153. #2480C22semidirect
154. #2480C22semidirect
155. #2477C22semidirect
156. #2474C22semidirect
157. #2473C22semidirect
159. #2469C22semidirect
161. #2468C22semidirect
162. #2466C22semidirect
163. #2466C22semidirect
164. #2465C22semidirect
165. #2465C22semidirect
167. #2458C22semidirect
168. #2453C22semidirect
171. #2451C22semidirect
172. #2448C22semidirect
175. #2447C22semidirect
177. #2440C22semidirect
178. #2439C22semidirect
179. #2439C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
186. #2423C22semidirect
187. #2421C22semidirect
188. #2421C22semidirect
189. #2419C22semidirect
190. #2417C22semidirect
192. #2415C22semidirect
193. #2415C22semidirect
194. #2415C22semidirect
196. #2402C22semidirect
198. #2398C22semidirect
200. #2374C22semidirect
201. #2373C22semidirect
202. #2370C22semidirect
203. #2369C22semidirect
204. #2368C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
208. #2367C22semidirect
210. #2365C22semidirect
211. #2365C22semidirect
212. #2365C22semidirect
214. #2362C22semidirect
215. #2362C22semidirect
216. #2362C22semidirect
220. #2360C22semidirect
221. #2360C22semidirect
222. #2359C22semidirect
226. #2357C22semidirect
227. #2357C22semidirect
228. #2356C22semidirect
229. #2355C22semidirect
233. #2354C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2352C22semidirect
238. #2352C22semidirect
239. #2352C22semidirect
240. #2352C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. #2347C22semidirect
246. #2347C22semidirect
247. #2347C22semidirect
248. #2345C22semidirect
249. #2345C22semidirect
250. #2342C22semidirect
251. #2342C22semidirect
256. #2337C22semidirect
257. #2334C22semidirect
258. #2320C22semidirect
260. #2318C22semidirect
261. #2312C22semidirect
263. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#126C22semidirect
267. C4×#126C22semidirect
268. C4×#126C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
280. #2298C22semidirect
281. #2293C22semidirect
282. #2285C22semidirect
283. #2285C22semidirect
284. #2285C22semidirect
285. #2283C22semidirect
286. #2280C22semidirect
287. #2280C22semidirect
288. #2280C22semidirect
289. #2280C22semidirect
290. #2280C22semidirect
291. C2×#380C22semidirect
292. #2275C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596782
#595322
#594842
#592342
#592302
#592042
#592012
#591382
#450082
#448742
#436782
#436742
#399112
#399082
#393502
#390962
#390702
#389402
#365142
#364902
#362702
#362102
#361612
#361562
#361322
#359702
#357262
#349462
#348982
#342852
#341942
#341862
C4×#5562
C4×D422