Finite Group Databasebeta

← #7690029

Subgroups — #7690029

Order 512.

4762 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59906C214yesmaximal, complemented
2#59895C212yesmaximal, complemented
3#59434C211yesmaximal, characteristic, complemented
4#59292C212yesmaximal, complemented
5#59259C211yesmaximal, characteristic, complemented
6#59243C212yesmaximal, complemented
7#59218C211yesmaximal, characteristic, complemented
8#59200C212yesmaximal, complemented
9#45230C212yesmaximal, complemented
10#45187C212yesmaximal
11#43766C214yesmaximal, complemented
12#43695C214yesmaximal, complemented
13#40011C212yesmaximal, complemented
14#39932C212yesmaximal, complemented
15#39353C211yesmaximal, characteristic, complemented
16#38978C211yesmaximal, characteristic, complemented
17#38338C214yesmaximal, complemented
18#38254C212yesmaximal, complemented
19#36506C212yesmaximal, complemented
20#36485C212yesmaximal, complemented
21#36405C211yesmaximal, characteristic, complemented
22#36315C211yesmaximal, characteristic, complemented
23#36210C211yesmaximal, characteristic, complemented
24#36207C212yesmaximal, complemented
25#36192C211yesmaximal, characteristic, complemented
26#36161C211yesmaximal, characteristic, complemented
27#36058C212yesmaximal, complemented
28#35803C212yesmaximal, complemented
29#34814C212yesmaximal, complemented
30#34793C211yesmaximal, characteristic, complemented
31#34324C211yesmaximal, characteristic, complemented
32#34286C212yesmaximal, complemented
33#34186C211yesmaximal, characteristic, complemented
34C4×#546C211yesmaximal, characteristic
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×#541C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2865C2214yescomplemented
42#2861C2212yes—
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic, complemented
46#2855C2212yescomplemented
47#2851C2212yescomplemented
48#2848C2212yes—
49#2796C2214yes—
50#2787C2214yescomplemented
51#2786C2214yes—
52#2786C2214yescomplemented
53#2783C2214yescomplemented
54#2777C2214yescomplemented
55#2777C2214yescomplemented
56#2772C2214yescomplemented
57#2771C2214yescomplemented
58#2768C2214yes—
59#2761C2214yescomplemented
60#2757C2214yescomplemented
61#2744C2214yescomplemented
62#2735C2214yes—
63#2735C2214yes—
64#2722C2214yes—
65#2719C2214yescomplemented
66#2711C2214yes—
67#2694C2214yes—
68#2685C2214yes—
69#2685C2214yes—
70#2651C2214yescomplemented
71#2649C2214yes—
72#2644C2212yes—
73#2625C2212yes—
74#2611C2214yescomplemented
75#2601C2214yes—
76#2601C2214yescomplemented
77#2596C2214yescomplemented
78#2595C2214yescomplemented
79#2594C2214yescomplemented
80#2594C2214yescomplemented
81#2594C2214yescomplemented
82#2594C2214yescomplemented
83#2587C2214yescomplemented
84#2585C2214yescomplemented
85#2582C2211yescharacteristic, complemented
86#2575C2214yescomplemented
87#2575C2214yescomplemented
88#2575C2214yescomplemented
89#2573C2214yescomplemented
90#2565C2212yescomplemented
91#2562C2212yes—
92#2558C2214yes—
93#2552C2211yescharacteristic, complemented
94#2552C2211yescharacteristic, complemented
95#2552C2212yescomplemented
96#2547C2211yescharacteristic
97#2546C2211yescharacteristic, complemented
98#2545C2212yes—
99#2538C2211yescharacteristic
100#2538C2212yescomplemented
101#2533C2214yescomplemented
102#2531C2214yescomplemented
103#2530C2212yes—
104#2529C2214yescomplemented
105#2529C2214yescomplemented
106#2529C2214yescomplemented
107#2528C2212yescomplemented
108#2526C2214yescomplemented
109#2522C2214yescomplemented
110#2522C2214yescomplemented
111#2519C2214yescomplemented
112#2518C2214yes—
113#2517C2214yes—
114#2517C2212yescomplemented
115#2516C2214yes—
116#2516C2214yescomplemented
117#2515C2214yescomplemented
118#2515C2214yescomplemented
119#2514C2212yescomplemented
120#2514C2212yescomplemented
121#2513C2214yescomplemented
122#2512C2212yes—
123#2511C2211yescharacteristic, complemented
124#2509C2212yescomplemented
125#2509C2212yescomplemented
126#2508C2212yescomplemented
127#2508C2214yescomplemented
128#2507C2212yescomplemented
129#2506C2212yescomplemented
130#2506C2211yescharacteristic, complemented
131#2505C2214yescomplemented
132#2499C2212yescomplemented
133#2499C2211yescharacteristic, complemented
134#2497C2212yes—
135#2497C2212yescomplemented
136#2497C2212yescomplemented
137#2497C2212yescomplemented
138#2496C2212yes—
139#2496C2212yes—
140#2496C2212yescomplemented
141#2495C2212yes—
142#2495C2212yescomplemented
143#2494C2212yes—
144#2494C2211yescharacteristic
145#2494C2212yescomplemented
146#2494C2212yescomplemented
147#2494C2214yescomplemented
148#2493C2214yescomplemented
149#2493C2214yescomplemented
150#2490C2214yes—
151#2490C2212yes—
152#2489C2211yescharacteristic
153#2489C2212yescomplemented
154#2489C2212yescomplemented
155#2485C2211yescharacteristic
156#2485C2212yes—
157#2485C2212yes—
158#2485C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2482C2214yes—
162#2480C2214yes—
163#2480C2214yes—
164#2480C2214yes—
165#2480C2214yes—
166#2478C2214yescomplemented
167#2468C2214yescomplemented
168#2466C2214yes—
169#2460C2212yes—
170#2454C2212yes—
171#2454C2212yes—
172#2453C2212yescomplemented
173#2448C2212yes—
174#2448C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2446C2212yescomplemented
178#2441C2212yes—
179#2441C2212yescomplemented
180#2441C2212yescomplemented
181#2441C2212yescomplemented
182#2441C2211yescharacteristic, complemented
183#2441C2212yescomplemented
184#2435C2212yes—
185#2432C2212yes—
186#2426C2212yes—
187#2423C2212yes—
188#2421C2212yescomplemented
189#2415C2212yes—
190#2415C2212yes—
191#2415C2211yescharacteristic
192#2415C2212yescomplemented
193#2401C2214yes—
194#2401C2212yescomplemented
195#2401C2214yescomplemented
196#2395C2212yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2214yescomplemented
200#2371C2214yescomplemented
201#2370C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2212yescomplemented
204#2370C2214yescomplemented
205#2370C2212yescomplemented
206#2367C2212yes—
207#2367C2212yes—
208#2367C2211yescharacteristic
209#2365C2211yescharacteristic, complemented
210#2365C2212yescomplemented
211#2365C2212yescomplemented
212#2364C2212yes—
213#2363C2211yescharacteristic
214#2362C2212yes—
215#2362C2212yes—
216#2362C2212yescomplemented
217#2362C2212yescomplemented
218#2362C2212yescomplemented
219#2360C2212yes—
220#2360C2211yescharacteristic
221#2359C2212yes—
222#2358C2212yes—
223#2357C2214yes—
224#2357C2212yes—
225#2357C2212yes—
226#2355C2212yescomplemented
227#2355C2212yescomplemented
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2212yes—
235#2354C2212yescomplemented
236#2354C2212yescomplemented
237#2354C2212yescomplemented
238#2352C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic, complemented
240Q8×C4⋊C4C2211yescharacteristic, complemented
241Q8×C4⋊C4C2211yescharacteristic, complemented
242#2349C2211yescharacteristic
243#2347C2212yescomplemented
244#2347C2212yescomplemented
245#2346C2212yescomplemented
246#2346C2214yescomplemented
247#2346C2212yescomplemented
248#2346C2212yescomplemented
249#2343C2214yescomplemented
250#2342C2212yes—
251#2341C2212yes—
252#2339C2211yescharacteristic
253D4×C22⋊C4C2211yescharacteristic
254#2336C2214yescomplemented
255#2334C2214yes—
256#2334C2214yescomplemented
257#2326C2212yes—
258#2320C2212yescomplemented
259#2312C2214yes—
260#2309C2212yes—
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#125C2214yescomplemented
263C4×#125C2211yescharacteristic, complemented
264C4×#125C2212yescomplemented
265C4×#126C2214yes—
266C4×#126C2214yescomplemented
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#2296C2212yescomplemented
278#2296C2212yescomplemented
279#2295C2211yescharacteristic, complemented
280#2295C2212yescomplemented
281#2293C2212yes—
282#2293C2214yescomplemented
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic, complemented
286#2285C2212yescomplemented
287#2285C2212yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290#2280C2212yes—
291#2276C2212yescomplemented
292#2274C2212yes—
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#546—28no—
304#541—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#120C2312yes—
332C4×#41—28no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4—28no—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2314yes—
381#401C2314yes—
382#401C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#391C2312yes—
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2311yescharacteristic
472#390C2312yes—
473#390C2314yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2314yes—
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2311yescharacteristic
491#389C2314yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#382C2314yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2314yes—
680#382C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2314yes—
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2312yes—
687#381C2314yes—
688#381C2312yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722#379C2312yes—
723#379C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C25C2412yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×D4—24no—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C23×C4—28no—
832C23×C4—44no—
833C23×C4—44no—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C4⋊Q8—28no—
850C4⋊Q8—24no—
851#126—216no—
852#126—216no—
853#126—216no—
854#126—48no—
855#125—28no—
856#125—216no—
857#125—216no—
858#125—42no—
859#125—44no—
860#125—44no—
861#125—44no—
862#124—24no—
863#124—28no—
864#124—44no—
865#123—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—42no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—42no—
872C22⋊Q8#4118yes—
873#121—24no—
874#121—28no—
875#120—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—42no—
896C4×D4—44no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4#4118yes—
900#117—28no—
901#117—28no—
902#117—24no—
903#117—28no—
904#117—48no—
905#117—44no—
906#117—42no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—42no—
911#117—44no—
912#117—44no—
913#117—44no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C22⋊C4—28no—
986C2×C22⋊C4—28no—
987C2×C22⋊C4—44no—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—28no—
1041C2×C42—24no—
1042C2×C42—24no—
1043C2×C42—44no—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24—24no—
1161C24—24no—
1162C24—42no—
1163C24—42no—
1164C24—42no—
1165C24—42no—
1166C24—42no—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C24C2511yescharacteristic
1170C24C2512yes—
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8C2×#4114yes—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—416no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4C2×#4114yes—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—816no—
1244C22×C4C2×#4118yes—
1245C22×C4C2×#4114yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4118yes—
1347C22⋊C4—22no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—22no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—24no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4C2×#4118yes—
1398C22⋊C4C2×#4118yes—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—28no—
1410C42—24no—
1411C42—22no—
1412C42—24no—
1413C42—28no—
1414C42—28no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—28no—
1419C42—22no—
1420C42—22no—
1421C42—24no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—41no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—42no—
1431C42—44no—
1432C42—42no—
1433C42—44no—
1434C42—41no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42C2×#4114yes—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—48no—
1466C23—48no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23C22×#4112yes—
1473C23C22×#4114yes—
1474C23C2611yescharacteristic
1475Q8—28no—
1476Q8—48no—
1477Q8—44no—
1478D4—28no—
1479D4—48no—
1480D4—48no—
1481D4—44no—
1482D4—44no—
1483D4—84no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—28no—
1497C2×C4—216no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—82no—
1575C2×C4—84no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4C22×#4114yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4114yes—
1583C2×C4C22×#4114yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4#58512yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C22—24no—
1593C22—22no—
1594C22—24no—
1595C22—22no—
1596C22—22no—
1597C22—24no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—41no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—816no—
1621C22C23×#4111yescharacteristic
1622C22C23×#4111yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58511yescharacteristic
1627C222−1+611yescharacteristic
1628C4—22no—
1629C4—22no—
1630C4—24no—
1631C4—24no—
1632C4—22no—
1633C4—24no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—44no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—41no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—41no—
1652C4—41no—
1653C4—44no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4#347514yes—
1658C4#352114yes—
1659C2—44no—
1660C2—42no—
1661C2—81no—
1662C2—82no—
1663C2C2×#347511yescharacteristic
1664C2C2×#352111yescharacteristic
1665C2#6279311yescharacteristic
1666C2#6296711yescharacteristic
1667C2#6299311yescharacteristic
1668C2#6299511yescharacteristic
1669C2#6303111yescharacteristic
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. #59906C2semidirect
2. #59895C2semidirect
3. #59434C2semidirect
4. #59292C2semidirect
5. #59259C2semidirect
6. #59243C2semidirect
7. #59218C2semidirect
8. #59200C2semidirect
9. #45230C2semidirect
11. #43766C2semidirect
12. #43695C2semidirect
13. #40011C2semidirect
14. #39932C2semidirect
15. #39353C2semidirect
16. #38978C2semidirect
17. #38338C2semidirect
18. #38254C2semidirect
19. #36506C2semidirect
20. #36485C2semidirect
21. #36405C2semidirect
22. #36315C2semidirect
23. #36210C2semidirect
24. #36207C2semidirect
25. #36192C2semidirect
26. #36161C2semidirect
27. #36058C2semidirect
28. #35803C2semidirect
29. #34814C2semidirect
30. #34793C2semidirect
31. #34324C2semidirect
32. #34286C2semidirect
33. #34186C2semidirect
35. #34129C2semidirect
41. #2865C22semidirect
43. #2859C22semidirect
45. #2857C22semidirect
46. #2855C22semidirect
47. #2851C22semidirect
50. #2787C22semidirect
52. #2786C22semidirect
53. #2783C22semidirect
54. #2777C22semidirect
55. #2777C22semidirect
56. #2772C22semidirect
57. #2771C22semidirect
59. #2761C22semidirect
60. #2757C22semidirect
61. #2744C22semidirect
65. #2719C22semidirect
70. #2651C22semidirect
74. #2611C22semidirect
76. #2601C22semidirect
77. #2596C22semidirect
78. #2595C22semidirect
79. #2594C22semidirect
80. #2594C22semidirect
81. #2594C22semidirect
82. #2594C22semidirect
83. #2587C22semidirect
84. #2585C22semidirect
85. #2582C22semidirect
86. #2575C22semidirect
87. #2575C22semidirect
88. #2575C22semidirect
89. #2573C22semidirect
90. #2565C22semidirect
93. #2552C22semidirect
94. #2552C22semidirect
95. #2552C22semidirect
97. #2546C22semidirect
100. #2538C22semidirect
101. #2533C22semidirect
102. #2531C22semidirect
104. #2529C22semidirect
105. #2529C22semidirect
106. #2529C22semidirect
107. #2528C22semidirect
108. #2526C22semidirect
109. #2522C22semidirect
110. #2522C22semidirect
111. #2519C22semidirect
114. #2517C22semidirect
116. #2516C22semidirect
117. #2515C22semidirect
118. #2515C22semidirect
119. #2514C22semidirect
120. #2514C22semidirect
121. #2513C22semidirect
123. #2511C22semidirect
124. #2509C22semidirect
125. #2509C22semidirect
126. #2508C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2506C22semidirect
130. #2506C22semidirect
131. #2505C22semidirect
132. #2499C22semidirect
133. #2499C22semidirect
135. #2497C22semidirect
136. #2497C22semidirect
137. #2497C22semidirect
140. #2496C22semidirect
142. #2495C22semidirect
145. #2494C22semidirect
146. #2494C22semidirect
147. #2494C22semidirect
148. #2493C22semidirect
149. #2493C22semidirect
153. #2489C22semidirect
154. #2489C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
166. #2478C22semidirect
167. #2468C22semidirect
172. #2453C22semidirect
177. #2446C22semidirect
179. #2441C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
188. #2421C22semidirect
192. #2415C22semidirect
194. #2401C22semidirect
195. #2401C22semidirect
199. #2373C22semidirect
200. #2371C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
209. #2365C22semidirect
210. #2365C22semidirect
211. #2365C22semidirect
216. #2362C22semidirect
217. #2362C22semidirect
218. #2362C22semidirect
226. #2355C22semidirect
227. #2355C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
239. Q8×C4⋊C4C22semidirect
240. Q8×C4⋊C4C22semidirect
241. Q8×C4⋊C4C22semidirect
243. #2347C22semidirect
244. #2347C22semidirect
245. #2346C22semidirect
246. #2346C22semidirect
247. #2346C22semidirect
248. #2346C22semidirect
249. #2343C22semidirect
254. #2336C22semidirect
256. #2334C22semidirect
258. #2320C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#125C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
266. C4×#126C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
277. #2296C22semidirect
278. #2296C22semidirect
279. #2295C22semidirect
280. #2295C22semidirect
282. #2293C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. #2285C22semidirect
291. #2276C22semidirect
293. C42×Q8C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#599062
#598952
#594342
#592922
#592592
#592432
#592182
#592002
#452302
#451872
#437662
#436952
#400112
#399322
#393532
#389782
#383382
#382542
#365062
#364852
#364052
#363152
#362102
#362072
#361922
#361612
#360582
#358032
#348142
#347932
#343242
#342862
#341862
C4×#5462
#341292