Finite Group Databasebeta

← #7673914

Subgroups — #7673914

Order 512.

4794 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45311C212yesmaximal, complemented
2#45286C212yesmaximal, complemented
3#45193C212yesmaximal, complemented
4#45067C212yesmaximal, complemented
5#45040C212yesmaximal, complemented
6#45039C212yesmaximal, complemented
7#45032C212yesmaximal, complemented
8#45029C212yesmaximal, complemented
9#39290C214yesmaximal, complemented
10#39289C214yesmaximal, complemented
11#39154C214yesmaximal, complemented
12#39150C214yesmaximal, complemented
13#38987C212yesmaximal, complemented
14#38985C212yesmaximal, complemented
15#38981C212yesmaximal, complemented
16#38980C212yesmaximal, complemented
17#38242C212yesmaximal, complemented
18#38241C212yesmaximal, complemented
19#38238C212yesmaximal, complemented
20#38237C212yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35558C211yesmaximal, characteristic, complemented
24#35556C211yesmaximal, characteristic
25#35266C211yesmaximal, characteristic, complemented
26#35264C211yesmaximal, characteristic
27#35174C211yesmaximal, characteristic, complemented
28#35160C211yesmaximal, characteristic, complemented
29#34639C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34271C211yesmaximal, characteristic, complemented
32#34265C211yesmaximal, characteristic
33#34253C211yesmaximal, characteristic, complemented
34#34074C211yesmaximal, characteristic, complemented
35C2×#2319C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2861C2212yes—
43#2860C2212yes—
44#2860C2212yes—
45#2858C2212yes—
46#2852C2214yes—
47#2848C2214yes—
48#2808C2214yescomplemented
49#2800C2214yescomplemented
50#2800C2214yescomplemented
51#2798C2214yescomplemented
52#2793C2214yescomplemented
53#2788C2214yescomplemented
54#2788C2214yescomplemented
55#2787C2214yescomplemented
56#2787C2214yescomplemented
57#2786C2214yescomplemented
58#2786C2214yescomplemented
59#2786C2214yescomplemented
60#2783C2214yescomplemented
61#2777C2214yescomplemented
62#2775C2214yescomplemented
63#2759C2214yescomplemented
64#2759C2214yescomplemented
65#2745C2214yescomplemented
66#2745C2214yescomplemented
67#2740C2214yescomplemented
68#2740C2214yescomplemented
69#2740C2214yescomplemented
70#2727C2214yescomplemented
71#2716C2214yescomplemented
72#2715C2214yescomplemented
73#2715C2214yescomplemented
74#2715C2214yescomplemented
75#2700C2214yescomplemented
76#2700C2214yescomplemented
77#2700C2214yescomplemented
78#2689C2214yescomplemented
79#2689C2214yescomplemented
80#2645C2211yescharacteristic, complemented
81#2645C2211yescharacteristic, complemented
82#2645C2211yescharacteristic, complemented
83#2645C2211yescharacteristic, complemented
84#2644C2212yes—
85#2644C2212yes—
86#2644C2211yescharacteristic, complemented
87#2644C2211yescharacteristic, complemented
88#2644C2211yescharacteristic, complemented
89#2644C2211yescharacteristic, complemented
90#2643C2212yes—
91#2643C2212yes—
92#2643C2212yes—
93#2643C2212yes—
94#2643C2214yes—
95#2641C2212yes—
96#2640C2212yes—
97#2626C2214yes—
98#2604C2214yescomplemented
99#2601C2214yescomplemented
100#2596C2214yescomplemented
101#2594C2214yescomplemented
102#2594C2214yescomplemented
103#2592C2212yes—
104#2592C2212yes—
105#2592C2214yescomplemented
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2573C2214yescomplemented
109#2573C2214yescomplemented
110#2567C2212yescomplemented
111#2564C2214yes—
112#2560C2214yescomplemented
113#2552C2212yescomplemented
114#2551C2212yescomplemented
115#2550C2212yescomplemented
116#2550C2212yescomplemented
117#2549C2214yes—
118#2548C2212yes—
119#2548C2212yes—
120#2547C2214yescomplemented
121#2546C2212yescomplemented
122#2545C2214yescomplemented
123#2538C2214yescomplemented
124#2532C2214yescomplemented
125#2527C2214yescomplemented
126#2527C2214yescomplemented
127#2525C2214yescomplemented
128#2521C2214yescomplemented
129#2514C2212yescomplemented
130#2513C2212yes—
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yescomplemented
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2512C2212yes—
142#2512C2212yes—
143#2512C2212yescomplemented
144#2512C2214yescomplemented
145#2511C2212yescomplemented
146#2497C2212yescomplemented
147#2496C2212yescomplemented
148#2496C2214yescomplemented
149#2495C2212yescomplemented
150#2494C2214yescomplemented
151#2494C2212yescomplemented
152#2492C2214yescomplemented
153#2491C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2490C2212yes—
160#2490C2212yes—
161#2485C2214yescomplemented
162#2480C2214yes—
163#2480C2214yes—
164#2480C2214yes—
165#2480C2214yes—
166#2474C2214yescomplemented
167#2472C2214yes—
168#2472C2214yes—
169#2472C2214yes—
170#2472C2214yes—
171#2469C2214yescomplemented
172#2469C2214yescomplemented
173#2466C2214yescomplemented
174#2466C2214yescomplemented
175#2454C2212yes—
176#2454C2212yes—
177#2454C2212yes—
178#2454C2212yes—
179#2454C2212yescomplemented
180#2453C2212yescomplemented
181#2452C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2452C2212yes—
185#2452C2212yescomplemented
186#2451C2212yescomplemented
187#2448C2214yescomplemented
188#2447C2214yescomplemented
189#2447C2214yescomplemented
190#2442C2212yescomplemented
191#2441C2212yescomplemented
192#2440C2214yes—
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2421C2214yescomplemented
196#2417C2214yes—
197#2415C2214yescomplemented
198#2401C2212yescomplemented
199#2401C2212yescomplemented
200#2401C2212yescomplemented
201#2401C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2212yescomplemented
204#2370C2212yescomplemented
205#2370C2212yescomplemented
206#2370C2212yescomplemented
207#2370C2212yescomplemented
208#2369C2212yescomplemented
209#2369C2212yescomplemented
210#2369C2212yescomplemented
211#2368C2214yes—
212#2367C2212yes—
213#2367C2212yes—
214#2366C2212yes—
215#2366C2212yes—
216#2365C2212yescomplemented
217#2365C2212yescomplemented
218#2365C2212yescomplemented
219#2363C2212yes—
220#2363C2212yes—
221#2361C2212yes—
222#2361C2212yes—
223#2360C2214yes—
224#2353C2214yes—
225#2352C2214yes—
226#2347C2212yescomplemented
227#2346C2212yescomplemented
228#2345C2212yescomplemented
229#2344C2212yescomplemented
230#2331C2211yescharacteristic, complemented
231#2331C2211yescharacteristic, complemented
232#2331C2211yescharacteristic, complemented
233#2331C2211yescharacteristic, complemented
234#2331C2212yescomplemented
235#2330C2211yescharacteristic, complemented
236#2330C2211yescharacteristic, complemented
237#2330C2211yescharacteristic, complemented
238#2330C2211yescharacteristic, complemented
239#2330C2212yescomplemented
240#2329C2212yes—
241#2329C2212yes—
242#2329C2212yes—
243#2329C2212yes—
244#2329C2214yes—
245#2321C2214yes—
246#2320C2212yescomplemented
247#2319C2212yes—
248#2319C2212yes—
249#2319C2212yes—
250#2319C2212yes—
251#2319C2212yes—
252#2319C2212yes—
253#2319C2212yes—
254#2319C2212yes—
255#2319C2212yescomplemented
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2309C2211yescharacteristic
263#2309C2211yescharacteristic
264#2309C2211yescharacteristic
265C4×C4⋊Q8C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×C22⋊Q8C2214yes—
268C4×#120C2214yes—
269#2297C2211yescharacteristic
270#2297C2211yescharacteristic
271#2297C2211yescharacteristic
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2211yescharacteristic
277#2295C2212yescomplemented
278#2295C2212yescomplemented
279#2295C2212yescomplemented
280#2295C2212yescomplemented
281#2295C2212yescomplemented
282#2293C2212yescomplemented
283C2×#390C2211yescharacteristic
284C2×#390C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#388C2212yes—
288C2×#388C2212yes—
289#2285C2211yescharacteristic
290C2×#381C2212yes—
291C2×#380C2212yes—
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#544—28no—
303#544—28no—
304#535—28no—
305#533—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#120C2314yes—
340#520—28no—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2314yes—
346C2×C4×D4—28no—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C22⋊C4C2312yes—
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379#401C2312yes—
380#401C2312yes—
381#401C2312yes—
382#401C2312yes—
383#401C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#397C2312yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2312yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2312yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2314yes—
499#391C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2311yescharacteristic
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#384C2312yes—
702#384C2314yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
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⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2311yescharacteristic
797#376C2311yescharacteristic
798#376C2311yescharacteristic
799#376C2311yescharacteristic
800#376C2311yescharacteristic
801#376C2311yescharacteristic
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2311yescharacteristic
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C25C2412yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4—28no—
835C23×C4—82no—
836C23×C4—82no—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—28no—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—84no—
858#127—28no—
859#126—84no—
860#126—84no—
861#126—84no—
862#126—84no—
863#126—84no—
864#125—24no—
865#125—24no—
866#125—28no—
867#125—28no—
868#125—28no—
869#125—28no—
870#124—28no—
871#124—84no—
872#124—84no—
873#124—84no—
874#124—84no—
875C22⋊Q8—216no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—84no—
880C22⋊Q8—84no—
881C22⋊Q8—84no—
882#121—28no—
883#121—28no—
884#120—216no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—84no—
889C4×Q8—84no—
890C4×D4—216no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—84no—
897C4×D4—84no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—28no—
905#117—84no—
906#117#4118yes—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—82no—
911C2×C4⋊C4—82no—
912C2×C4⋊C4#4118yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4—28no—
983C2×C22⋊C4—82no—
984C2×C22⋊C4—82no—
985C2×C22⋊C4—82no—
986C2×C22⋊C4—82no—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42—24no—
1036C2×C42—24no—
1037C2×C42—24no—
1038C2×C42—82no—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24—24no—
1160C24—24no—
1161C24—24no—
1162C24—42no—
1163C24—42no—
1164C24—42no—
1165C24—42no—
1166C24C2514yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169#41—416no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—28no—
1175C2×Q8—28no—
1176C2×Q8—22no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—416no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—816no—
1243C22×C4C2×#4118yes—
1244C22×C4C2×#4114yes—
1245C22×C4C2×#4114yes—
1246C22×C42−1+414yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4C2×#4118yes—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4114yes—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4C2×#4118yes—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—28no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—44no—
1416C42—44no—
1417C42—42no—
1418C42—42no—
1419C42—42no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—42no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—42no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42C2×#4118yes—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—22no—
1437C23—24no—
1438C23—24no—
1439C23—22no—
1440C23—22no—
1441C23—24no—
1442C23—22no—
1443C23—24no—
1444C23—22no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—24no—
1450C23—48no—
1451C23—48no—
1452C23—48no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23C22×#4112yes—
1458C23C22×#4112yes—
1459C23C2×2−1+412yes—
1460C23C2611yescharacteristic
1461Q8—44no—
1462Q8—88no—
1463Q8—84no—
1464Q8—88no—
1465Q8—84no—
1466D4—48no—
1467D4—48no—
1468D4—48no—
1469D4—44no—
1470D4—88no—
1471D4—88no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—48no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—88no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—84no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—84no—
1572C2×C4#556116yes—
1573C2×C4C22×#4118yes—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4114yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4C2×2−1+412yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—42no—
1597C22—44no—
1598C22—42no—
1599C22—44no—
1600C22—42no—
1601C22—44no—
1602C22—816no—
1603C22C2×#55614yes—
1604C22C23×#4111yescharacteristic
1605C22C23×#4111yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22H(7,𝔽2)11yescharacteristic
1608C22H(7,𝔽2)11yescharacteristic
1609C22H(7,𝔽2)11yescharacteristic
1610C222−1+611yescharacteristic
1611C4—28no—
1612C4—24no—
1613C4—24no—
1614C4—41no—
1615C4—41no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—41no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—44no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—41no—
1638C4—41no—
1639C4—44no—
1640C4—42no—
1641C4C2×#55614yes—
1642C4C2×#55614yes—
1643C2—24no—
1644C2—82no—
1645C2—84no—
1646C2C22×#55611yescharacteristic
1647C2#6284611yescharacteristic
1648C2#6285111yescharacteristic
1649C2#6285711yescharacteristic
1650C2#6285811yescharacteristic
1651C2#6287911yescharacteristic
1652C2#6288111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45311C2semidirect
2. #45286C2semidirect
3. #45193C2semidirect
4. #45067C2semidirect
5. #45040C2semidirect
6. #45039C2semidirect
7. #45032C2semidirect
8. #45029C2semidirect
9. #39290C2semidirect
10. #39289C2semidirect
11. #39154C2semidirect
12. #39150C2semidirect
13. #38987C2semidirect
14. #38985C2semidirect
15. #38981C2semidirect
16. #38980C2semidirect
17. #38242C2semidirect
18. #38241C2semidirect
19. #38238C2semidirect
20. #38237C2semidirect
21. #35575C2semidirect
22. #35566C2semidirect
23. #35558C2semidirect
25. #35266C2semidirect
27. #35174C2semidirect
28. #35160C2semidirect
29. #34639C2semidirect
30. #34272C2semidirect
31. #34271C2semidirect
33. #34253C2semidirect
34. #34074C2semidirect
35. C2×#2319C2semidirect
48. #2808C22semidirect
49. #2800C22semidirect
50. #2800C22semidirect
51. #2798C22semidirect
52. #2793C22semidirect
53. #2788C22semidirect
54. #2788C22semidirect
55. #2787C22semidirect
56. #2787C22semidirect
57. #2786C22semidirect
58. #2786C22semidirect
59. #2786C22semidirect
60. #2783C22semidirect
61. #2777C22semidirect
62. #2775C22semidirect
63. #2759C22semidirect
64. #2759C22semidirect
65. #2745C22semidirect
66. #2745C22semidirect
67. #2740C22semidirect
68. #2740C22semidirect
69. #2740C22semidirect
70. #2727C22semidirect
71. #2716C22semidirect
72. #2715C22semidirect
73. #2715C22semidirect
74. #2715C22semidirect
75. #2700C22semidirect
76. #2700C22semidirect
77. #2700C22semidirect
78. #2689C22semidirect
79. #2689C22semidirect
80. #2645C22semidirect
81. #2645C22semidirect
82. #2645C22semidirect
83. #2645C22semidirect
86. #2644C22semidirect
87. #2644C22semidirect
88. #2644C22semidirect
89. #2644C22semidirect
98. #2604C22semidirect
99. #2601C22semidirect
100. #2596C22semidirect
101. #2594C22semidirect
102. #2594C22semidirect
105. #2592C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
108. #2573C22semidirect
109. #2573C22semidirect
110. #2567C22semidirect
112. #2560C22semidirect
113. #2552C22semidirect
114. #2551C22semidirect
115. #2550C22semidirect
116. #2550C22semidirect
120. #2547C22semidirect
121. #2546C22semidirect
122. #2545C22semidirect
123. #2538C22semidirect
124. #2532C22semidirect
125. #2527C22semidirect
126. #2527C22semidirect
127. #2525C22semidirect
128. #2521C22semidirect
129. #2514C22semidirect
136. #2513C22semidirect
143. #2512C22semidirect
144. #2512C22semidirect
145. #2511C22semidirect
146. #2497C22semidirect
147. #2496C22semidirect
148. #2496C22semidirect
149. #2495C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
152. #2492C22semidirect
161. #2485C22semidirect
166. #2474C22semidirect
171. #2469C22semidirect
172. #2469C22semidirect
173. #2466C22semidirect
174. #2466C22semidirect
179. #2454C22semidirect
180. #2453C22semidirect
185. #2452C22semidirect
186. #2451C22semidirect
187. #2448C22semidirect
188. #2447C22semidirect
189. #2447C22semidirect
190. #2442C22semidirect
191. #2441C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
195. #2421C22semidirect
197. #2415C22semidirect
198. #2401C22semidirect
199. #2401C22semidirect
200. #2401C22semidirect
201. #2401C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2370C22semidirect
207. #2370C22semidirect
208. #2369C22semidirect
209. #2369C22semidirect
210. #2369C22semidirect
216. #2365C22semidirect
217. #2365C22semidirect
218. #2365C22semidirect
226. #2347C22semidirect
227. #2346C22semidirect
228. #2345C22semidirect
229. #2344C22semidirect
230. #2331C22semidirect
231. #2331C22semidirect
232. #2331C22semidirect
233. #2331C22semidirect
234. #2331C22semidirect
235. #2330C22semidirect
236. #2330C22semidirect
237. #2330C22semidirect
238. #2330C22semidirect
239. #2330C22semidirect
246. #2320C22semidirect
255. #2319C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#125C22semidirect
277. #2295C22semidirect
278. #2295C22semidirect
279. #2295C22semidirect
280. #2295C22semidirect
281. #2295C22semidirect
282. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#453112
#452862
#451932
#450672
#450402
#450392
#450322
#450292
#392902
#392892
#391542
#391502
#389872
#389852
#389812
#389802
#382422
#382412
#382382
#382372
#355752
#355662
#355582
#355562
#352662
#352642
#351742
#351602
#346392
#342722
#342712
#342652
#342532
#340742
C2×#23192