Finite Group Databasebeta

← #7690022

Subgroups — #7690022

Order 512.

4926 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59956C214yesmaximal, complemented
2#59895C212yesmaximal, complemented
3#59436C211yesmaximal, characteristic, complemented
4#59309C212yesmaximal, complemented
5#59256C211yesmaximal, characteristic, complemented
6#59254C212yesmaximal, complemented
7#59219C211yesmaximal, characteristic, complemented
8#59197C212yesmaximal, complemented
9#45186C212yesmaximal, complemented
10#45012C212yesmaximal, complemented
11#43689C214yesmaximal, complemented
12#43051C214yesmaximal, complemented
13#39480C211yesmaximal, characteristic, complemented
14#39477C212yesmaximal, complemented
15#38977C211yesmaximal, characteristic, complemented
16#38973C212yesmaximal, complemented
17#38267C212yesmaximal, complemented
18#38256C214yesmaximal, complemented
19#36301C211yesmaximal, characteristic, complemented
20#36275C211yesmaximal, characteristic, complemented
21#36256C212yesmaximal, complemented
22#36239C212yesmaximal, complemented
23#36210C211yesmaximal, characteristic, complemented
24#36167C212yesmaximal, complemented
25#36165C211yesmaximal, characteristic, complemented
26#36154C211yesmaximal, characteristic, complemented
27#36053C212yesmaximal, complemented
28#35791C212yesmaximal
29#34793C211yesmaximal, characteristic, complemented
30C2×#2494C212yesmaximal, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34261C212yesmaximal, complemented
33#34181C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic
35#34127C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#518C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2864C2212yescomplemented
42#2859C2211yescharacteristic, complemented
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic, complemented
45#2855C2212yescomplemented
46#2851C2212yescomplemented
47#2851C2214yescomplemented
48#2848C2212yes—
49#2787C2214yescomplemented
50#2781C2214yes—
51#2779C2214yescomplemented
52#2776C2214yescomplemented
53#2773C2214yescomplemented
54#2771C2214yescomplemented
55#2770C2214yes—
56#2770C2214yes—
57#2766C2214yescomplemented
58#2766C2214yescomplemented
59#2765C2214yescomplemented
60#2765C2214yescomplemented
61#2762C2214yescomplemented
62#2761C2214yescomplemented
63#2747C2214yes—
64#2745C2214yescomplemented
65#2741C2214yes—
66#2739C2214yescomplemented
67#2738C2214yescomplemented
68#2694C2214yescomplemented
69#2690C2214yes—
70#2645C2212yescomplemented
71#2643C2214yescomplemented
72#2625C2212yes—
73#2622C2214yes—
74#2611C2214yescomplemented
75#2599C2214yescomplemented
76#2585C2214yescomplemented
77#2582C2211yescharacteristic, complemented
78#2577C2214yes—
79#2573C2214yescomplemented
80#2571C2211yescharacteristic, complemented
81#2571C2211yescharacteristic, complemented
82#2570C2212yescomplemented
83#2570C2212yescomplemented
84#2570C2212yescomplemented
85#2569C2214yescomplemented
86#2569C2214yescomplemented
87#2567C2211yescharacteristic, complemented
88#2563C2211yescharacteristic
89#2562C2212yes—
90#2538C2211yescharacteristic
91#2536C2212yescomplemented
92#2533C2214yescomplemented
93#2530C2212yes—
94#2530C2214yes—
95#2529C2214yescomplemented
96#2528C2214yescomplemented
97#2528C2214yescomplemented
98#2528C2212yescomplemented
99#2527C2214yescomplemented
100#2517C2212yescomplemented
101#2515C2214yescomplemented
102#2514C2212yescomplemented
103#2514C2212yescomplemented
104#2514C2212yescomplemented
105#2514C2212yescomplemented
106#2511C2211yescharacteristic, complemented
107#2510C2214yescomplemented
108#2510C2214yescomplemented
109#2510C2214yescomplemented
110#2509C2212yescomplemented
111#2508C2212yescomplemented
112#2508C2212yescomplemented
113#2508C2212yescomplemented
114#2508C2212yescomplemented
115#2507C2212yescomplemented
116#2506C2212yescomplemented
117#2506C2212yescomplemented
118#2506C2211yescharacteristic, complemented
119#2505C2214yescomplemented
120#2505C2214yescomplemented
121#2505C2214yescomplemented
122#2505C2214yescomplemented
123#2503C2212yescomplemented
124#2499C2212yes—
125#2499C2211yescharacteristic, complemented
126#2498C2214yescomplemented
127#2495C2212yes—
128#2495C2212yescomplemented
129#2495C2212yescomplemented
130#2494C2214yes—
131#2494C2212yes—
132#2494C2212yes—
133#2494C2212yes—
134#2494C2214yes—
135#2494C2211yescharacteristic
136#2494C2212yescomplemented
137#2494C2214yescomplemented
138#2494C2212yescomplemented
139#2494C2212yescomplemented
140#2494C2212yescomplemented
141#2494C2212yescomplemented
142#2494C2212yescomplemented
143#2494C2212yescomplemented
144#2494C2214yescomplemented
145#2493C2214yescomplemented
146#2493C2214yescomplemented
147#2493C2214yescomplemented
148#2493C2214yescomplemented
149#2493C2214yescomplemented
150#2489C2211yescharacteristic
151#2489C2212yescomplemented
152#2487C2212yes—
153#2487C2212yescomplemented
154#2486C2212yescomplemented
155#2485C2211yescharacteristic
156#2485C2212yes—
157#2485C2212yescomplemented
158#2483C2214yes—
159#2477C2214yescomplemented
160#2475C2214yescomplemented
161#2473C2214yescomplemented
162#2473C2214yescomplemented
163#2470C2214yescomplemented
164#2460C2212yes—
165#2454C2212yes—
166#2453C2212yescomplemented
167#2450C2214yes—
168#2449C2214yescomplemented
169#2447C2212yes—
170#2447C2212yes—
171#2444C2214yes—
172#2443C2214yes—
173#2442C2212yes—
174#2442C2212yescomplemented
175#2442C2212yescomplemented
176#2442C2212yescomplemented
177#2442C2212yescomplemented
178#2441C2211yescharacteristic, complemented
179#2441C2212yescomplemented
180#2438C2214yescomplemented
181#2437C2214yes—
182#2422C2212yes—
183#2421C2212yes—
184#2421C2212yes—
185#2420C2212yes—
186#2419C2214yes—
187#2419C2214yes—
188#2417C2212yes—
189#2417C2212yescomplemented
190#2415C2211yescharacteristic
191#2415C2212yes—
192#2412C2214yes—
193#2401C2212yescomplemented
194C2×#401C2214yescomplemented
195#2395C2212yes—
196C2×#397C2214yes—
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2369C2211yescharacteristic, complemented
200#2367C2211yescharacteristic
201#2364C2212yes—
202#2363C2211yescharacteristic
203#2362C2212yescomplemented
204#2360C2211yescharacteristic
205#2360C2214yescomplemented
206#2360C2212yescomplemented
207#2360C2212yescomplemented
208#2359C2212yes—
209#2358C2212yes—
210#2357C2212yes—
211#2356C2212yescomplemented
212#2355C2211yescharacteristic, complemented
213#2355C2211yescharacteristic, complemented
214#2354C2212yes—
215#2353C2214yes—
216#2352C2214yes—
217#2352C2211yescharacteristic
218#2352C2212yescomplemented
219#2352C2212yescomplemented
220#2352C2212yescomplemented
221Q8×C4⋊C4C2211yescharacteristic, complemented
222#2349C2214yes—
223#2349C2212yes—
224#2349C2212yes—
225#2349C2212yes—
226#2349C2211yescharacteristic
227#2349C2212yes—
228#2349C2212yes—
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2212yes—
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2212yes—
238#2347C2212yes—
239#2347C2212yescomplemented
240#2346C2212yes—
241#2345C2212yescomplemented
242#2344C2212yescomplemented
243#2344C2212yescomplemented
244#2343C2214yescomplemented
245#2343C2214yescomplemented
246#2342C2212yes—
247#2342C2214yes—
248#2342C2214yes—
249#2339C2212yes—
250#2339C2211yescharacteristic
251#2339C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2211yescharacteristic
254#2330C2212yescomplemented
255#2329C2214yescomplemented
256#2319C2212yes—
257#2318C2214yes—
258#2316C2212yes—
259#2315C2214yes—
260#2314C2212yes—
261#2312C2214yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#125C2211yescharacteristic, complemented
264C4×#125C2212yescomplemented
265C4×#124C2211yescharacteristic
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2212yescomplemented
269C4×C22⋊Q8C2211yescharacteristic, complemented
270C4×#123C2212yes—
271C4×#121C2212yes—
272C4×#121C2211yescharacteristic
273C4×#120C2212yes—
274#2298C2212yes—
275#2295C2211yescharacteristic, complemented
276#2295C2212yescomplemented
277#2293C2212yes—
278C2×#389C2212yescomplemented
279C2×#389C2212yescomplemented
280#2290C2214yes—
281#2290C2214yescomplemented
282C2×#388C2214yes—
283C2×#387C2214yescomplemented
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic, complemented
287#2283C2212yescomplemented
288C2×#382C2212yescomplemented
289C2×#380C2212yes—
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×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#546—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×#125C2312yes—
306C2×#125C2311yescharacteristic
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2314yes—
310C2×#124C2311yescharacteristic
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×#121C2311yescharacteristic
322C2×#121C2312yes—
323C2×#120C2312yes—
324#518—216no—
325C4×#41—28no—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×D4—28no—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2314yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2314yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2314yes—
363C2×#117C2312yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2314yes—
384#401C2314yes—
385#401C2312yes—
386#401C2314yes—
387#401C2314yes—
388#401C2314yes—
389#401C2314yes—
390#401C2314yes—
391#401C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#393C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2311yescharacteristic
481#390C2312yes—
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#388C2314yes—
531#388C2314yes—
532#388C2312yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#386C2312yes—
614#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2312yes—
626#386C2312yes—
627#385C2312yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#384C2311yescharacteristic
659#384C2312yes—
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2314yes—
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2314yes—
687#382C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#379C2312yes—
734#379C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799#376C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803C2×#95C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4#4118yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C23×C4—28no—
832C23×C4—44no—
833C23×C4—44no—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856#125—28no—
857#125—42no—
858#125—44no—
859#125—44no—
860#125—84no—
861#124—24no—
862#123—28no—
863#123—84no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—42no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—82no—
872#121—24no—
873#121—28no—
874#120—28no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—44no—
879C4×Q8—82no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—216no—
883C4×D4—216no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—42no—
902C4×D4#4118yes—
903#117—28no—
904#117—28no—
905#117—24no—
906#117—28no—
907#117—48no—
908#117—42no—
909#117—42no—
910#117—82no—
911#117—84no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—48no—
920C2×C4⋊C4—84no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4—216no—
990C2×C22⋊C4—216no—
991C2×C22⋊C4—28no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—44no—
994C2×C22⋊C4—84no—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C42—28no—
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—44no—
1045C2×C42—84no—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—24no—
1165C24—24no—
1166C24—42no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24C2×#4118yes—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C24C2512yes—
1174C24C2512yes—
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—232no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4C2×#4118yes—
1200C2×D4C2×#4114yes—
1201C2×D4C2×#4114yes—
1202C2×D4C2×#4114yes—
1203C2×D42−1+414yes—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—816no—
1266C22×C4C2×#4118yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—41no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4C2×#4114yes—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4C2×#4118yes—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—28no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—24no—
1432C42—22no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—41no—
1444C42—44no—
1445C42—41no—
1446C42C2×#4114yes—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—216no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—48no—
1472C23—48no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23C22×#4112yes—
1478C23C22×#4114yes—
1479C23C22×#4114yes—
1480C23C22×#4114yes—
1481C23C2×2−1+414yes—
1482C23C2611yescharacteristic
1483Q8—44no—
1484Q8—44no—
1485Q8—84no—
1486D4—216no—
1487D4—28no—
1488D4—44no—
1489D4—48no—
1490D4—84no—
1491D4#552116yes—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—28no—
1501C2×C4—216no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—48no—
1583C2×C4—44no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—22no—
1614C22—24no—
1615C22—22no—
1616C22—22no—
1617C22—24no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—816no—
1634C22C2×#55218yes—
1635C22C23×#4111yescharacteristic
1636C22C23×#4111yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C4—22no—
1643C4—22no—
1644C4—24no—
1645C4—22no—
1646C4—41no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—44no—
1664C4—42no—
1665C4—41no—
1666C4—41no—
1667C4—44no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4C2×#55214yes—
1672C4#352114yes—
1673C2—28no—
1674C2—44no—
1675C2—42no—
1676C2—81no—
1677C2C22×#55211yescharacteristic
1678C2C2×#352111yescharacteristic
1679C2#6278111yescharacteristic
1680C2#6295111yescharacteristic
1681C2#6299211yescharacteristic
1682C2#6300811yescharacteristic
1683C2#6302511yescharacteristic
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. #59956C2semidirect
2. #59895C2semidirect
3. #59436C2semidirect
4. #59309C2semidirect
5. #59256C2semidirect
6. #59254C2semidirect
7. #59219C2semidirect
8. #59197C2semidirect
9. #45186C2semidirect
10. #45012C2semidirect
11. #43689C2semidirect
12. #43051C2semidirect
13. #39480C2semidirect
14. #39477C2semidirect
15. #38977C2semidirect
16. #38973C2semidirect
17. #38267C2semidirect
18. #38256C2semidirect
19. #36301C2semidirect
20. #36275C2semidirect
21. #36256C2semidirect
22. #36239C2semidirect
23. #36210C2semidirect
24. #36167C2semidirect
25. #36165C2semidirect
26. #36154C2semidirect
27. #36053C2semidirect
29. #34793C2semidirect
30. C2×#2494C2semidirect
31. #34332C2semidirect
32. #34261C2semidirect
33. #34181C2semidirect
35. #34127C2semidirect
41. #2864C22semidirect
42. #2859C22semidirect
44. #2857C22semidirect
45. #2855C22semidirect
46. #2851C22semidirect
47. #2851C22semidirect
49. #2787C22semidirect
51. #2779C22semidirect
52. #2776C22semidirect
53. #2773C22semidirect
54. #2771C22semidirect
57. #2766C22semidirect
58. #2766C22semidirect
59. #2765C22semidirect
60. #2765C22semidirect
61. #2762C22semidirect
62. #2761C22semidirect
64. #2745C22semidirect
66. #2739C22semidirect
67. #2738C22semidirect
68. #2694C22semidirect
70. #2645C22semidirect
71. #2643C22semidirect
74. #2611C22semidirect
75. #2599C22semidirect
76. #2585C22semidirect
77. #2582C22semidirect
79. #2573C22semidirect
80. #2571C22semidirect
81. #2571C22semidirect
82. #2570C22semidirect
83. #2570C22semidirect
84. #2570C22semidirect
85. #2569C22semidirect
86. #2569C22semidirect
87. #2567C22semidirect
91. #2536C22semidirect
92. #2533C22semidirect
95. #2529C22semidirect
96. #2528C22semidirect
97. #2528C22semidirect
98. #2528C22semidirect
99. #2527C22semidirect
100. #2517C22semidirect
101. #2515C22semidirect
102. #2514C22semidirect
103. #2514C22semidirect
104. #2514C22semidirect
105. #2514C22semidirect
106. #2511C22semidirect
107. #2510C22semidirect
108. #2510C22semidirect
109. #2510C22semidirect
110. #2509C22semidirect
111. #2508C22semidirect
112. #2508C22semidirect
113. #2508C22semidirect
114. #2508C22semidirect
115. #2507C22semidirect
116. #2506C22semidirect
117. #2506C22semidirect
118. #2506C22semidirect
119. #2505C22semidirect
120. #2505C22semidirect
121. #2505C22semidirect
122. #2505C22semidirect
123. #2503C22semidirect
125. #2499C22semidirect
126. #2498C22semidirect
128. #2495C22semidirect
129. #2495C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
138. #2494C22semidirect
139. #2494C22semidirect
140. #2494C22semidirect
141. #2494C22semidirect
142. #2494C22semidirect
143. #2494C22semidirect
144. #2494C22semidirect
145. #2493C22semidirect
146. #2493C22semidirect
147. #2493C22semidirect
148. #2493C22semidirect
149. #2493C22semidirect
151. #2489C22semidirect
153. #2487C22semidirect
154. #2486C22semidirect
157. #2485C22semidirect
159. #2477C22semidirect
160. #2475C22semidirect
161. #2473C22semidirect
162. #2473C22semidirect
163. #2470C22semidirect
166. #2453C22semidirect
168. #2449C22semidirect
174. #2442C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
177. #2442C22semidirect
178. #2441C22semidirect
179. #2441C22semidirect
180. #2438C22semidirect
189. #2417C22semidirect
193. #2401C22semidirect
194. C2×#401C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2369C22semidirect
203. #2362C22semidirect
205. #2360C22semidirect
206. #2360C22semidirect
207. #2360C22semidirect
211. #2356C22semidirect
212. #2355C22semidirect
213. #2355C22semidirect
218. #2352C22semidirect
219. #2352C22semidirect
220. #2352C22semidirect
221. Q8×C4⋊C4C22semidirect
239. #2347C22semidirect
241. #2345C22semidirect
242. #2344C22semidirect
243. #2344C22semidirect
244. #2343C22semidirect
245. #2343C22semidirect
254. #2330C22semidirect
255. #2329C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
275. #2295C22semidirect
276. #2295C22semidirect
278. C2×#389C22semidirect
279. C2×#389C22semidirect
281. #2290C22semidirect
283. C2×#387C22semidirect
286. #2285C22semidirect
287. #2283C22semidirect
288. C2×#382C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#599562
#598952
#594362
#593092
#592562
#592542
#592192
#591972
#451862
#450122
#436892
#430512
#394802
#394772
#389772
#389732
#382672
#382562
#363012
#362752
#362562
#362392
#362102
#361672
#361652
#361542
#360532
#357912
#347932
C2×#24942
#343322
#342612
#341812
C4×#5462
#341272