Finite Group Databasebeta

← #7689422

Subgroups — #7689422

Order 512.

5168 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59565C212yesmaximal, complemented
2#59450C211yesmaximal, characteristic, complemented
3#59338C214yesmaximal, complemented
4#59253C212yesmaximal, complemented
5#59242C211yesmaximal, characteristic, complemented
6#59235C211yesmaximal, characteristic, complemented
7#59140C212yesmaximal, complemented
8#59014C212yesmaximal, complemented
9#45172C212yesmaximal, complemented
10#45128C212yesmaximal, complemented
11#43624C214yesmaximal, complemented
12#43507C214yesmaximal, complemented
13#39478C211yesmaximal, characteristic, complemented
14#39477C212yesmaximal, complemented
15#38977C211yesmaximal, characteristic, complemented
16#38974C212yesmaximal, complemented
17#38263C212yesmaximal, complemented
18#38258C214yesmaximal, complemented
19#36274C211yesmaximal, characteristic, complemented
20#36272C211yesmaximal, characteristic, complemented
21#36256C212yesmaximal, complemented
22#36209C211yesmaximal, characteristic, complemented
23#36167C212yesmaximal, complemented
24#36165C212yesmaximal, complemented
25D4×#125C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35888C212yesmaximal, complemented
28#35791C212yesmaximal
29#34793C211yesmaximal, characteristic, complemented
30C2×#2489C212yesmaximal, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34261C212yesmaximal, complemented
33#34181C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic
35#34127C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×D4×Q8C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C22×#125C2212yescomplemented
40C22×C22⋊Q8C2212yes—
41C2×#518C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44#2859C2211yescharacteristic, complemented
45#2859C2212yescomplemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2855C2212yescomplemented
49#2851C2212yescomplemented
50#2851C2214yescomplemented
51#2848C2212yes—
52#2787C2214yes—
53#2787C2214yes—
54#2781C2214yescomplemented
55#2779C2214yes—
56#2775C2214yescomplemented
57#2774C2214yescomplemented
58#2771C2214yescomplemented
59#2770C2214yescomplemented
60#2767C2214yescomplemented
61#2765C2214yescomplemented
62#2764C2214yescomplemented
63#2758C2214yescomplemented
64#2751C2214yescomplemented
65#2747C2214yes—
66#2745C2214yescomplemented
67#2744C2214yescomplemented
68#2739C2214yescomplemented
69#2719C2214yescomplemented
70#2707C2214yescomplemented
71#2702C2214yes—
72#2690C2214yes—
73#2645C2212yescomplemented
74#2643C2214yescomplemented
75#2625C2212yes—
76#2622C2214yes—
77#2612C2214yescomplemented
78#2611C2214yescomplemented
79#2609C2214yescomplemented
80#2585C2214yescomplemented
81#2582C2211yescharacteristic, complemented
82#2577C2214yes—
83#2575C2214yescomplemented
84#2573C2214yescomplemented
85#2571C2212yescomplemented
86#2571C2212yescomplemented
87#2568C2211yescharacteristic, complemented
88#2565C2212yescomplemented
89#2562C2212yescomplemented
90#2553C2214yescomplemented
91#2552C2211yescharacteristic, complemented
92#2552C2211yescharacteristic, complemented
93#2542C2211yescharacteristic
94#2538C2211yescharacteristic
95#2536C2212yes—
96#2530C2214yes—
97#2530C2212yes—
98#2528C2212yescomplemented
99#2528C2214yescomplemented
100#2527C2214yescomplemented
101#2524C2214yescomplemented
102#2519C2214yescomplemented
103#2517C2212yescomplemented
104#2514C2212yescomplemented
105#2514C2212yescomplemented
106#2511C2212yescomplemented
107#2511C2212yescomplemented
108#2511C2212yescomplemented
109#2511C2211yescharacteristic, complemented
110#2510C2214yescomplemented
111#2508C2212yescomplemented
112#2508C2212yescomplemented
113#2508C2212yescomplemented
114#2508C2212yescomplemented
115#2508C2212yescomplemented
116#2506C2212yescomplemented
117#2506C2212yescomplemented
118#2506C2211yescharacteristic, complemented
119#2505C2214yescomplemented
120#2505C2214yescomplemented
121#2505C2214yescomplemented
122#2505C2214yescomplemented
123#2503C2212yescomplemented
124#2503C2212yescomplemented
125#2499C2212yes—
126#2499C2211yescharacteristic, complemented
127#2497C2212yescomplemented
128#2496C2212yescomplemented
129#2495C2212yes—
130#2495C2212yes—
131#2495C2212yescomplemented
132#2494C2211yescharacteristic
133#2494C2212yescomplemented
134#2493C2214yescomplemented
135#2493C2214yescomplemented
136#2493C2214yescomplemented
137#2493C2214yescomplemented
138#2489C2212yes—
139#2489C2212yes—
140#2489C2214yes—
141#2489C2212yes—
142#2489C2214yes—
143#2489C2211yescharacteristic
144#2489C2212yescomplemented
145#2489C2212yescomplemented
146#2489C2212yescomplemented
147#2489C2212yescomplemented
148#2489C2214yescomplemented
149#2489C2212yescomplemented
150#2489C2214yescomplemented
151#2488C2214yescomplemented
152#2485C2211yescharacteristic
153#2485C2212yes—
154#2485C2212yes—
155#2483C2214yes—
156#2481C2214yescomplemented
157#2481C2214yescomplemented
158#2475C2214yescomplemented
159#2475C2214yescomplemented
160#2473C2214yescomplemented
161#2473C2214yescomplemented
162#2460C2212yes—
163#2452C2212yes—
164#2451C2212yescomplemented
165#2450C2214yescomplemented
166#2449C2214yes—
167#2447C2212yes—
168#2447C2212yes—
169#2444C2214yes—
170#2443C2214yes—
171#2442C2212yescomplemented
172#2442C2214yescomplemented
173#2442C2212yescomplemented
174#2442C2212yescomplemented
175#2442C2214yescomplemented
176#2441C2211yescharacteristic, complemented
177#2440C2212yes—
178#2439C2212yescomplemented
179#2438C2214yescomplemented
180#2438C2214yescomplemented
181#2437C2214yes—
182#2422C2212yes—
183#2421C2212yes—
184#2421C2212yescomplemented
185#2420C2212yes—
186#2419C2214yes—
187#2419C2214yes—
188#2417C2212yes—
189#2417C2212yescomplemented
190#2417C2212yescomplemented
191#2415C2211yescharacteristic
192#2415C2212yescomplemented
193#2412C2214yes—
194#2409C2212yes—
195#2409C2212yescomplemented
196#2401C2212yescomplemented
197#2395C2212yes—
198C2×#400C2214yescomplemented
199C2×#397C2214yes—
200#2370C2212yescomplemented
201#2369C2212yescomplemented
202#2368C2214yescomplemented
203#2367C2211yescharacteristic
204#2365C2211yescharacteristic, complemented
205#2364C2212yes—
206#2363C2211yescharacteristic
207#2360C2211yescharacteristic
208#2360C2212yescomplemented
209#2360C2212yescomplemented
210#2360C2212yescomplemented
211#2359C2212yes—
212#2358C2212yes—
213#2357C2212yes—
214#2356C2212yescomplemented
215#2355C2211yescharacteristic, complemented
216#2355C2211yescharacteristic, complemented
217#2355C2211yescharacteristic, complemented
218#2354C2212yes—
219#2353C2214yes—
220#2352C2214yes—
221#2352C2211yescharacteristic
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224#2349C2212yes—
225#2349C2212yes—
226#2349C2211yescharacteristic
227#2349C2212yes—
228#2349C2214yes—
229#2349C2212yes—
230D4×C4⋊C4C2212yes—
231D4×C4⋊C4C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2347C2212yescomplemented
242#2346C2212yes—
243#2346C2212yescomplemented
244#2344C2212yescomplemented
245#2343C2214yescomplemented
246#2343C2214yescomplemented
247#2342C2214yes—
248#2342C2212yes—
249#2342C2214yes—
250Q8×C22⋊C4C2212yescomplemented
251#2339C2211yescharacteristic
252#2339C2212yes—
253#2339C2212yes—
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2212yes—
256#2331C2212yescomplemented
257#2329C2214yescomplemented
258#2319C2212yes—
259#2318C2214yes—
260#2316C2212yes—
261#2315C2214yes—
262#2314C2212yes—
263#2312C2214yes—
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#125C2211yescharacteristic, complemented
266C4×#125C2212yescomplemented
267C4×#124C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yescomplemented
271C4×C22⋊Q8C2211yescharacteristic, complemented
272C4×#123C2212yes—
273C4×#121C2212yes—
274C4×#121C2211yescharacteristic
275C4×#120C2212yes—
276#2298C2212yes—
277#2295C2211yescharacteristic, complemented
278#2295C2212yescomplemented
279C2×#391C2212yescomplemented
280C2×#391C2212yescomplemented
281#2293C2212yes—
282#2290C2214yes—
283#2290C2214yescomplemented
284C2×#388C2214yes—
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic, complemented
288#2283C2212yescomplemented
289C2×#382C2214yescomplemented
290C2×#380C2212yes—
291C2×#380C2212yes—
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#552—48no—
304D4×Q8—28no—
305#546—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#126C2314yes—
309C2×#125—48no—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8—48no—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#120C2312yes—
337#518—216no—
338C4×#41—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×D4—28no—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2314yes—
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396C22×C42C2314yes—
397#401C2314yes—
398#401C2314yes—
399#401C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#399C2314yes—
428#399C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2312yes—
473#393C2314yes—
474#393C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2312yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2312yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2314yes—
687#382C2314yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#379C2312yes—
738#379C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4#4118yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C23×C4—28no—
839C23×C4—44no—
840C23×C4—44no—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C4⋊Q8—28no—
863C4⋊Q8—24no—
864#126—48no—
865#125—24no—
866#125—28no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—48no—
871#125—48no—
872#125—48no—
873#124—24no—
874#123—28no—
875#123—48no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—42no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888#121—24no—
889#121—28no—
890#120—28no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—216no—
899C4×D4—216no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4#4118yes—
919#117—28no—
920#117—28no—
921#117—24no—
922#117—24no—
923#117—28no—
924#117—44no—
925#117—48no—
926#117—48no—
927#117—42no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—48no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—48no—
935C2×C4⋊C4—48no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4—216no—
1007C2×C22⋊C4—216no—
1008C2×C22⋊C4—28no—
1009C2×C22⋊C4—28no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4—48no—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—28no—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42—48no—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2411yescharacteristic
1146#95C2414yes—
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—24no—
1180C24—24no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24—42no—
1185C24C2×#4118yes—
1186C24C2511yescharacteristic
1187C24C2511yescharacteristic
1188C24C2512yes—
1189C24C2512yes—
1190#41—416no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—28no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—816no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—232no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4C2×#4118yes—
1219C2×D4C2×#4114yes—
1220C2×D4C2×#4114yes—
1221C2×D4C2×#4114yes—
1222C2×D42−1+414yes—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—816no—
1285C22×C4C2×#4118yes—
1286C22×C4C2×#4114yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—41no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4C2×#4114yes—
1386C4⋊C4H(5,𝔽2)14yes—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—22no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—24no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4C2×#4118yes—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—28no—
1443C42—24no—
1444C42—24no—
1445C42—22no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—22no—
1452C42—24no—
1453C42—28no—
1454C42—22no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—41no—
1461C42—44no—
1462C42—42no—
1463C42—44no—
1464C42—41no—
1465C42—44no—
1466C42C2×#4114yes—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—216no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—48no—
1492C23—48no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23C22×#4112yes—
1498C23C22×#4114yes—
1499C23C22×#4114yes—
1500C23C22×#4114yes—
1501C23C2×2−1+414yes—
1502C23C2611yescharacteristic
1503Q8—44no—
1504Q8—48no—
1505Q8—44no—
1506Q8—88no—
1507D4—216no—
1508D4—28no—
1509D4—44no—
1510D4—48no—
1511D4—84no—
1512D4#552116yescomplemented
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—28no—
1524C2×C4—216no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—416no—
1600C2×C4—48no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—48no—
1604C2×C4—44no—
1605C2×C4—82no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—88no—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C2×H(5,𝔽2)14yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×2−1+412yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—22no—
1635C22—24no—
1636C22—22no—
1637C22—22no—
1638C22—24no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—816no—
1655C22C2×#55218yes—
1656C22C23×#4111yescharacteristic
1657C22C23×#4111yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×2−1+411yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C222−1+611yescharacteristic
1663C4—22no—
1664C4—22no—
1665C4—24no—
1666C4—24no—
1667C4—22no—
1668C4—41no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—41no—
1676C4—44no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—44no—
1684C4—44no—
1685C4—42no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4C2×#55214yes—
1693C4#351414yes—
1694C2—28no—
1695C2—44no—
1696C2—42no—
1697C2—81no—
1698C2C22×#55211yescharacteristic
1699C2C2×#351411yescharacteristic
1700C2#6278111yescharacteristic
1701C2#6295011yescharacteristic
1702C2#6298411yescharacteristic
1703C2#6299311yescharacteristic
1704C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59565C2semidirect
2. #59450C2semidirect
3. #59338C2semidirect
4. #59253C2semidirect
5. #59242C2semidirect
6. #59235C2semidirect
7. #59140C2semidirect
8. #59014C2semidirect
9. #45172C2semidirect
10. #45128C2semidirect
11. #43624C2semidirect
12. #43507C2semidirect
13. #39478C2semidirect
14. #39477C2semidirect
15. #38977C2semidirect
16. #38974C2semidirect
17. #38263C2semidirect
18. #38258C2semidirect
19. #36274C2semidirect
20. #36272C2semidirect
21. #36256C2semidirect
22. #36209C2semidirect
23. #36167C2semidirect
24. #36165C2semidirect
25. D4×#125C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35888C2semidirect
29. #34793C2semidirect
30. C2×#2489C2semidirect
31. #34334C2semidirect
32. #34261C2semidirect
33. #34181C2semidirect
35. #34127C2semidirect
36. C2×#552C22semidirect
39. C22×#125C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
49. #2851C22semidirect
50. #2851C22semidirect
54. #2781C22semidirect
56. #2775C22semidirect
57. #2774C22semidirect
58. #2771C22semidirect
59. #2770C22semidirect
60. #2767C22semidirect
61. #2765C22semidirect
62. #2764C22semidirect
63. #2758C22semidirect
64. #2751C22semidirect
66. #2745C22semidirect
67. #2744C22semidirect
68. #2739C22semidirect
69. #2719C22semidirect
70. #2707C22semidirect
73. #2645C22semidirect
74. #2643C22semidirect
77. #2612C22semidirect
78. #2611C22semidirect
79. #2609C22semidirect
80. #2585C22semidirect
81. #2582C22semidirect
83. #2575C22semidirect
84. #2573C22semidirect
85. #2571C22semidirect
86. #2571C22semidirect
87. #2568C22semidirect
88. #2565C22semidirect
89. #2562C22semidirect
90. #2553C22semidirect
91. #2552C22semidirect
92. #2552C22semidirect
98. #2528C22semidirect
99. #2528C22semidirect
100. #2527C22semidirect
101. #2524C22semidirect
102. #2519C22semidirect
103. #2517C22semidirect
104. #2514C22semidirect
105. #2514C22semidirect
106. #2511C22semidirect
107. #2511C22semidirect
108. #2511C22semidirect
109. #2511C22semidirect
110. #2510C22semidirect
111. #2508C22semidirect
112. #2508C22semidirect
113. #2508C22semidirect
114. #2508C22semidirect
115. #2508C22semidirect
116. #2506C22semidirect
117. #2506C22semidirect
118. #2506C22semidirect
119. #2505C22semidirect
120. #2505C22semidirect
121. #2505C22semidirect
122. #2505C22semidirect
123. #2503C22semidirect
124. #2503C22semidirect
126. #2499C22semidirect
127. #2497C22semidirect
128. #2496C22semidirect
131. #2495C22semidirect
133. #2494C22semidirect
134. #2493C22semidirect
135. #2493C22semidirect
136. #2493C22semidirect
137. #2493C22semidirect
144. #2489C22semidirect
145. #2489C22semidirect
146. #2489C22semidirect
147. #2489C22semidirect
148. #2489C22semidirect
149. #2489C22semidirect
150. #2489C22semidirect
151. #2488C22semidirect
156. #2481C22semidirect
157. #2481C22semidirect
158. #2475C22semidirect
159. #2475C22semidirect
160. #2473C22semidirect
161. #2473C22semidirect
164. #2451C22semidirect
165. #2450C22semidirect
171. #2442C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
174. #2442C22semidirect
175. #2442C22semidirect
176. #2441C22semidirect
178. #2439C22semidirect
179. #2438C22semidirect
180. #2438C22semidirect
184. #2421C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
192. #2415C22semidirect
195. #2409C22semidirect
196. #2401C22semidirect
198. C2×#400C22semidirect
200. #2370C22semidirect
201. #2369C22semidirect
202. #2368C22semidirect
204. #2365C22semidirect
208. #2360C22semidirect
209. #2360C22semidirect
210. #2360C22semidirect
214. #2356C22semidirect
215. #2355C22semidirect
216. #2355C22semidirect
217. #2355C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
241. #2347C22semidirect
243. #2346C22semidirect
244. #2344C22semidirect
245. #2343C22semidirect
246. #2343C22semidirect
250. Q8×C22⋊C4C22semidirect
256. #2331C22semidirect
257. #2329C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
277. #2295C22semidirect
278. #2295C22semidirect
279. C2×#391C22semidirect
280. C2×#391C22semidirect
283. #2290C22semidirect
287. #2285C22semidirect
288. #2283C22semidirect
289. C2×#382C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect
1512. D4#552semidirect

Maximal subgroups

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

subgroupindex
#595652
#594502
#593382
#592532
#592422
#592352
#591402
#590142
#451722
#451282
#436242
#435072
#394782
#394772
#389772
#389742
#382632
#382582
#362742
#362722
#362562
#362092
#361672
#361652
D4×#1252
D4×C22⋊Q82
#358882
#357912
#347932
C2×#24892
#343342
#342612
#341812
C4×#5462
#341272