Finite Group Databasebeta

← #7680354

Subgroups — #7680354

Order 512.

4869 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#59719C212yesmaximal, complemented
2#59716C212yesmaximal, complemented
3#59710C212yesmaximal, complemented
4#59580C212yesmaximal, complemented
5#59424C214yesmaximal, complemented
6#59423C214yesmaximal, complemented
7#45311C212yesmaximal, complemented
8#45286C212yesmaximal, complemented
9#45193C212yesmaximal, complemented
10#45029C212yesmaximal, complemented
11#43599C214yesmaximal, complemented
12#43177C214yesmaximal, complemented
13#39298C212yesmaximal, complemented
14#39298C212yesmaximal, complemented
15#39297C212yesmaximal, complemented
16#39292C212yesmaximal, complemented
17#39156C212yesmaximal, complemented
18#39152C212yesmaximal, complemented
19#36503C212yesmaximal, complemented
20#36459C212yesmaximal, complemented
21#35640C211yesmaximal, characteristic, complemented
22#35584C211yesmaximal, characteristic
23#35544C211yesmaximal, characteristic, complemented
24#35529C211yesmaximal, characteristic, complemented
25#35266C211yesmaximal, characteristic, complemented
26#35266C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#34814C211yesmaximal, characteristic, complemented
29C2×#2490C211yesmaximal, characteristic
30#34271C211yesmaximal, characteristic, complemented
31#34255C211yesmaximal, characteristic, complemented
32#34217C211yesmaximal, characteristic, complemented
33#34204C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C22×#125C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#518C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2860C2212yescomplemented
43#2860C2212yescomplemented
44#2860C2212yescomplemented
45#2860C2212yescomplemented
46#2857C2212yescomplemented
47#2851C2212yescomplemented
48#2808C2214yescomplemented
49#2800C2214yescomplemented
50#2800C2214yescomplemented
51#2798C2214yescomplemented
52#2793C2214yescomplemented
53#2793C2214yescomplemented
54#2787C2214yescomplemented
55#2787C2214yescomplemented
56#2786C2214yescomplemented
57#2786C2214yescomplemented
58#2786C2214yescomplemented
59#2783C2214yescomplemented
60#2777C2214yescomplemented
61#2777C2214yescomplemented
62#2775C2214yescomplemented
63#2759C2214yescomplemented
64#2745C2214yescomplemented
65#2740C2214yescomplemented
66#2740C2214yescomplemented
67#2740C2214yescomplemented
68#2727C2214yescomplemented
69#2715C2214yescomplemented
70#2700C2214yescomplemented
71#2689C2214yescomplemented
72#2644C2212yescomplemented
73#2644C2212yescomplemented
74#2644C2212yescomplemented
75#2644C2212yescomplemented
76#2629C2212yescomplemented
77#2628C2212yescomplemented
78#2601C2214yescomplemented
79#2601C2214yescomplemented
80#2601C2214yescomplemented
81#2596C2214yescomplemented
82#2594C2214yescomplemented
83#2594C2214yescomplemented
84#2594C2214yescomplemented
85#2592C2214yescomplemented
86#2583C2214yes—
87#2577C2214yescomplemented
88#2573C2214yescomplemented
89#2566C2212yescomplemented
90#2566C2212yescomplemented
91#2563C2212yescomplemented
92#2561C2214yes—
93#2560C2214yescomplemented
94#2560C2214yescomplemented
95#2560C2214yescomplemented
96#2552C2212yescomplemented
97#2552C2212yescomplemented
98#2552C2212yescomplemented
99#2552C2212yescomplemented
100#2550C2212yescomplemented
101#2550C2212yescomplemented
102#2550C2212yescomplemented
103#2550C2212yescomplemented
104#2542C2212yescomplemented
105#2538C2214yescomplemented
106#2532C2214yescomplemented
107#2532C2214yescomplemented
108#2527C2214yescomplemented
109#2523C2214yescomplemented
110#2521C2214yescomplemented
111#2513C2212yescomplemented
112#2513C2212yescomplemented
113#2513C2212yescomplemented
114#2513C2212yescomplemented
115#2512C2214yescomplemented
116#2512C2214yescomplemented
117#2512C2212yescomplemented
118#2512C2212yescomplemented
119#2512C2212yescomplemented
120#2512C2212yescomplemented
121#2502C2214yes—
122#2499C2214yescomplemented
123#2497C2211yescharacteristic, complemented
124#2497C2212yescomplemented
125#2497C2212yescomplemented
126#2497C2211yescharacteristic, complemented
127#2496C2212yescomplemented
128#2496C2214yescomplemented
129#2496C2212yescomplemented
130#2496C2211yescharacteristic, complemented
131#2496C2211yescharacteristic, complemented
132#2495C2212yescomplemented
133#2495C2211yescharacteristic, complemented
134#2495C2212yescomplemented
135#2495C2211yescharacteristic, complemented
136#2494C2212yescomplemented
137#2494C2212yescomplemented
138#2494C2211yescharacteristic, complemented
139#2494C2211yescharacteristic, complemented
140#2493C2212yes—
141#2493C2214yes—
142#2493C2212yes—
143#2491C2212yes—
144#2491C2212yes—
145#2491C2212yes—
146#2491C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2490C2212yes—
150#2490C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2490C2212yes—
156#2490C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2485C2214yescomplemented
160#2480C2214yes—
161#2480C2214yes—
162#2480C2212yes—
163#2480C2214yes—
164#2480C2214yes—
165#2480C2214yes—
166#2480C2212yes—
167#2478C2214yescomplemented
168#2478C2214yescomplemented
169#2474C2214yescomplemented
170#2469C2214yescomplemented
171#2469C2214yescomplemented
172#2466C2214yescomplemented
173#2466C2214yescomplemented
174#2465C2214yescomplemented
175#2454C2212yescomplemented
176#2454C2212yescomplemented
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2448C2214yescomplemented
180#2447C2214yescomplemented
181#2442C2212yescomplemented
182#2441C2212yescomplemented
183#2440C2212yescomplemented
184#2439C2212yescomplemented
185#2438C2214yes—
186#2437C2214yes—
187#2437C2214yes—
188#2437C2214yes—
189#2435C2214yes—
190#2421C2214yescomplemented
191#2415C2214yescomplemented
192#2401C2212yescomplemented
193#2401C2212yescomplemented
194C2×#397C2212yes—
195C2×#394C2212yes—
196#2373C2214yescomplemented
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2370C2212yescomplemented
200#2370C2212yescomplemented
201#2370C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2369C2212yescomplemented
206#2369C2212yescomplemented
207#2367C2214yescomplemented
208#2365C2212yescomplemented
209#2365C2212yescomplemented
210#2363C2212yes—
211#2363C2212yes—
212#2361C2212yes—
213#2361C2212yes—
214#2357C2212yescomplemented
215#2357C2212yescomplemented
216#2354C2214yescomplemented
217#2354C2212yescomplemented
218#2354C2212yescomplemented
219#2347C2214yescomplemented
220#2347C2211yescharacteristic, complemented
221#2347C2211yescharacteristic, complemented
222#2346C2211yescharacteristic, complemented
223#2346C2211yescharacteristic, complemented
224#2345C2214yes—
225#2345C2214yes—
226#2345C2211yescharacteristic, complemented
227#2345C2211yescharacteristic, complemented
228#2344C2211yescharacteristic, complemented
229#2344C2211yescharacteristic, complemented
230#2343C2212yes—
231#2343C2212yes—
232#2342C2214yes—
233#2342C2214yes—
234#2342C2212yes—
235#2342C2212yes—
236#2342C2214yes—
237D4×C22⋊C4C2214yes—
238#2331C2212yescomplemented
239#2331C2212yescomplemented
240#2330C2212yescomplemented
241#2330C2212yescomplemented
242#2330C2212yescomplemented
243#2330C2212yescomplemented
244#2329C2214yes—
245#2329C2214yes—
246#2324C2212yes—
247#2324C2212yes—
248#2319C2212yescomplemented
249#2319C2212yescomplemented
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2316C2211yescharacteristic
255#2316C2211yescharacteristic
256#2316C2211yescharacteristic
257#2309C2211yescharacteristic
258#2309C2211yescharacteristic
259#2309C2211yescharacteristic
260C4×C4⋊Q8C2212yescomplemented
261C4×C4⋊Q8C2212yescomplemented
262C4×#125C2212yescomplemented
263C4×#125C2212yescomplemented
264C4×#125C2212yescomplemented
265C4×#125C2212yescomplemented
266C4×#126C2212yescomplemented
267C4×#126C2212yescomplemented
268C4×C22⋊Q8C2214yes—
269C4×C22⋊Q8C2214yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272#2298C2212yescomplemented
273#2298C2212yescomplemented
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2293C2212yescomplemented
279#2293C2212yescomplemented
280C2×#390C2212yes—
281C2×#390C2211yescharacteristic
282C2×#390C2211yescharacteristic
283C2×#388C2212yes—
284#2285C2211yescharacteristic
285#2283C2212yescomplemented
286#2280C2211yescharacteristic
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289C2×#380C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C24×C4C2311yescharacteristic
302#544—28no—
303#544—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125—28no—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×#121—28no—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336#518—28no—
337C2×C4×Q8C2314yes—
338C2×C4×Q8C2314yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×#117—28no—
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2314yes—
361C2×#117C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383#401C2312yes—
384#401C2312yes—
385#401C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2312yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#390C2314yes—
473#390C2314yes—
474#390C2314yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2314yes—
670#384C2314yes—
671#383C2312yes—
672#383C2312yes—
673#383C2312yes—
674#383C2312yes—
675#383C2314yes—
676#382C2311yescharacteristic
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#381C2312yes—
685#381C2312yes—
686#381C2314yes—
687#381C2314yes—
688#381C2312yes—
689#381C2312yes—
690#381C2312yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2311yescharacteristic
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2314yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722#379C2312yes—
723#379C2312yes—
724#379C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C25C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×D4—24no—
821C22×D4—24no—
822C22×D4—28no—
823C22×D4—24no—
824C22×D4—44no—
825C22×D4—82no—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854#126—44no—
855#126—48no—
856#126—44no—
857#126—84no—
858#126—84no—
859#126—84no—
860#126—84no—
861#125—28no—
862#125—28no—
863#125—28no—
864#125—28no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—28no—
869#124—48no—
870#124—84no—
871C22⋊Q8—216no—
872C22⋊Q8—216no—
873C22⋊Q8—84no—
874C22⋊Q8—84no—
875C22⋊Q8—84no—
876#121—28no—
877#121—28no—
878#121—28no—
879#121—28no—
880C4×Q8—84no—
881C4×Q8—84no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—48no—
887C4×D4—84no—
888#117—24no—
889#117—24no—
890#117—24no—
891#117—24no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—28no—
898#117—28no—
899#117—48no—
900#117—44no—
901#117—44no—
902#117—84no—
903#117#4118yes—
904C2×C4⋊C4—28no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4#4118yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C22⋊C4—28no—
980C2×C22⋊C4—28no—
981C2×C22⋊C4—216no—
982C2×C22⋊C4—42no—
983C2×C22⋊C4—44no—
984C2×C22⋊C4—42no—
985C2×C22⋊C4—82no—
986C2×C22⋊C4—82no—
987C2×C22⋊C4—82no—
988C2×C22⋊C4—82no—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42—28no—
1048C2×C42—82no—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—24no—
1168C24—24no—
1169C24—24no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24C2511yescharacteristic
1178C24C2514yes—
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181C2×Q8—28no—
1182C2×Q8—28no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×D4—28no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—416no—
1200C2×D4—816no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—41no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—416no—
1249C22×C4C2×#4118yes—
1250C22×C4C2×#4114yes—
1251C22×C4C2×#4114yes—
1252C22×C42−1+414yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2514yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4C2×#4114yes—
1349C4⋊C4C2×#4114yes—
1350C4⋊C4C2×#4118yes—
1351C4⋊C4C2×#4118yes—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—22no—
1371C22⋊C4—28no—
1372C22⋊C4—22no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—44no—
1377C22⋊C4—41no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4C2×#4118yes—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—42no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42C2×#4118yes—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—24no—
1458C23—24no—
1459C23—21no—
1460C23—21no—
1461C23—24no—
1462C23—21no—
1463C23—24no—
1464C23—24no—
1465C23—21no—
1466C23—21no—
1467C23—24no—
1468C23—24no—
1469C23—21no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—48no—
1475C23—82no—
1476C23—82no—
1477C23—82no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23C22×#4112yes—
1485C23C22×#4112yes—
1486C23C2×2−1+412yes—
1487C23#58512yes—
1488C23C2611yescharacteristic
1489Q8—88no—
1490Q8—88no—
1491D4—416no—
1492D4—48no—
1493D4—48no—
1494D4—88no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—88no—
1587C2×C4—84no—
1588C2×C4—88no—
1589C2×C4—82no—
1590C2×C4—82no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—82no—
1594C2×C4#556116yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4118yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4#58512yes—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—44no—
1619C22—41no—
1620C22—41no—
1621C22—44no—
1622C22—44no—
1623C22—41no—
1624C22—44no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—44no—
1629C22—44no—
1630C22—41no—
1631C22—44no—
1632C22—88no—
1633C22—168no—
1634C22C2×#55614yes—
1635C22C23×#4111yescharacteristic
1636C22C23×#4111yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22H(7,𝔽2)11yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C4—28no—
1643C4—24no—
1644C4—24no—
1645C4—22no—
1646C4—41no—
1647C4—41no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4C2×#55614yes—
1672C4C2×#55614yes—
1673C2—24no—
1674C2—42no—
1675C2—81no—
1676C2—84no—
1677C2C22×#55611yescharacteristic
1678C2#6281011yescharacteristic
1679C2#6285811yescharacteristic
1680C2#6295811yescharacteristic
1681C2#6295811yescharacteristic
1682C2#6299011yescharacteristic
1683C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59719C2semidirect
2. #59716C2semidirect
3. #59710C2semidirect
4. #59580C2semidirect
5. #59424C2semidirect
6. #59423C2semidirect
7. #45311C2semidirect
8. #45286C2semidirect
9. #45193C2semidirect
10. #45029C2semidirect
11. #43599C2semidirect
12. #43177C2semidirect
13. #39298C2semidirect
14. #39298C2semidirect
15. #39297C2semidirect
16. #39292C2semidirect
17. #39156C2semidirect
18. #39152C2semidirect
19. #36503C2semidirect
20. #36459C2semidirect
21. #35640C2semidirect
23. #35544C2semidirect
24. #35529C2semidirect
25. #35266C2semidirect
26. #35266C2semidirect
27. #35253C2semidirect
28. #34814C2semidirect
30. #34271C2semidirect
31. #34255C2semidirect
32. #34217C2semidirect
34. #34109C2semidirect
35. C4×#544C2semidirect
42. #2860C22semidirect
43. #2860C22semidirect
44. #2860C22semidirect
45. #2860C22semidirect
46. #2857C22semidirect
47. #2851C22semidirect
48. #2808C22semidirect
49. #2800C22semidirect
50. #2800C22semidirect
51. #2798C22semidirect
52. #2793C22semidirect
53. #2793C22semidirect
54. #2787C22semidirect
55. #2787C22semidirect
56. #2786C22semidirect
57. #2786C22semidirect
58. #2786C22semidirect
59. #2783C22semidirect
60. #2777C22semidirect
61. #2777C22semidirect
62. #2775C22semidirect
63. #2759C22semidirect
64. #2745C22semidirect
65. #2740C22semidirect
66. #2740C22semidirect
67. #2740C22semidirect
68. #2727C22semidirect
69. #2715C22semidirect
70. #2700C22semidirect
71. #2689C22semidirect
72. #2644C22semidirect
73. #2644C22semidirect
74. #2644C22semidirect
75. #2644C22semidirect
76. #2629C22semidirect
77. #2628C22semidirect
78. #2601C22semidirect
79. #2601C22semidirect
80. #2601C22semidirect
81. #2596C22semidirect
82. #2594C22semidirect
83. #2594C22semidirect
84. #2594C22semidirect
85. #2592C22semidirect
87. #2577C22semidirect
88. #2573C22semidirect
89. #2566C22semidirect
90. #2566C22semidirect
91. #2563C22semidirect
93. #2560C22semidirect
94. #2560C22semidirect
95. #2560C22semidirect
96. #2552C22semidirect
97. #2552C22semidirect
98. #2552C22semidirect
99. #2552C22semidirect
100. #2550C22semidirect
101. #2550C22semidirect
102. #2550C22semidirect
103. #2550C22semidirect
104. #2542C22semidirect
105. #2538C22semidirect
106. #2532C22semidirect
107. #2532C22semidirect
108. #2527C22semidirect
109. #2523C22semidirect
110. #2521C22semidirect
111. #2513C22semidirect
112. #2513C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2512C22semidirect
120. #2512C22semidirect
122. #2499C22semidirect
123. #2497C22semidirect
124. #2497C22semidirect
125. #2497C22semidirect
126. #2497C22semidirect
127. #2496C22semidirect
128. #2496C22semidirect
129. #2496C22semidirect
130. #2496C22semidirect
131. #2496C22semidirect
132. #2495C22semidirect
133. #2495C22semidirect
134. #2495C22semidirect
135. #2495C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
138. #2494C22semidirect
139. #2494C22semidirect
159. #2485C22semidirect
167. #2478C22semidirect
168. #2478C22semidirect
169. #2474C22semidirect
170. #2469C22semidirect
171. #2469C22semidirect
172. #2466C22semidirect
173. #2466C22semidirect
174. #2465C22semidirect
175. #2454C22semidirect
176. #2454C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2448C22semidirect
180. #2447C22semidirect
181. #2442C22semidirect
182. #2441C22semidirect
183. #2440C22semidirect
184. #2439C22semidirect
190. #2421C22semidirect
191. #2415C22semidirect
192. #2401C22semidirect
193. #2401C22semidirect
196. #2373C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2370C22semidirect
200. #2370C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2369C22semidirect
206. #2369C22semidirect
207. #2367C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
214. #2357C22semidirect
215. #2357C22semidirect
216. #2354C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
219. #2347C22semidirect
220. #2347C22semidirect
221. #2347C22semidirect
222. #2346C22semidirect
223. #2346C22semidirect
226. #2345C22semidirect
227. #2345C22semidirect
228. #2344C22semidirect
229. #2344C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2330C22semidirect
241. #2330C22semidirect
242. #2330C22semidirect
243. #2330C22semidirect
248. #2319C22semidirect
249. #2319C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×#125C22semidirect
263. C4×#125C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
266. C4×#126C22semidirect
267. C4×#126C22semidirect
272. #2298C22semidirect
273. #2298C22semidirect
278. #2293C22semidirect
279. #2293C22semidirect
285. #2283C22semidirect
296. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#597192
#597162
#597102
#595802
#594242
#594232
#453112
#452862
#451932
#450292
#435992
#431772
#392982
#392972
#392922
#391562
#391522
#365032
#364592
#356402
#355842
#355442
#355292
#352662
#352532
#348142
C2×#24902
#342712
#342552
#342172
#342042
#341092
C4×#5442