Finite Group Databasebeta

← #7631653

Subgroups — #7631653

Order 512.

5002 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36507C212yesmaximal, complemented
2#36506C212yesmaximal, complemented
3#36491C212yesmaximal, complemented
4#36489C212yesmaximal, complemented
5#36311C212yesmaximal, complemented
6#36310C212yesmaximal, complemented
7#36178C212yesmaximal, complemented
8#36173C212yesmaximal, complemented
9#36069C212yesmaximal, complemented
10#36055C212yesmaximal, complemented
11#36006C212yesmaximal, complemented
12#35901C212yesmaximal, complemented
13#35900C212yesmaximal, complemented
14#35899C212yesmaximal, complemented
15#35804C212yesmaximal, complemented
16#35803C212yesmaximal, complemented
17#35644C211yesmaximal, characteristic, complemented
18#35633C211yesmaximal, characteristic
19#35585C211yesmaximal, characteristic, complemented
20#35575C211yesmaximal, characteristic, complemented
21#35462C214yesmaximal, complemented
22#35461C214yesmaximal, complemented
23#35313C211yesmaximal, characteristic, complemented
24#35307C211yesmaximal, characteristic, complemented
25#35027C214yesmaximal, complemented
26#34814C211yesmaximal, characteristic, complemented
27#34780C214yesmaximal, complemented
28#34742C211yesmaximal, characteristic
29#34271C211yesmaximal, characteristic, complemented
30#34266C211yesmaximal, characteristic, complemented
31#34201C211yesmaximal, characteristic
32#34187C211yesmaximal, characteristic, complemented
33#34179C211yesmaximal, characteristic, complemented
34C2×#2362C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2866C2214yes—
46#2865C2214yes—
47#2863C2212yescomplemented
48#2863C2212yescomplemented
49#2855C2212yescomplemented
50#2855C2212yescomplemented
51#2853C2214yes—
52#2852C2214yes—
53#2654C2214yes—
54#2653C2214yes—
55#2650C2214yes—
56#2649C2214yes—
57#2645C2212yescomplemented
58#2645C2212yescomplemented
59#2625C2212yescomplemented
60#2625C2212yescomplemented
61#2597C2214yes—
62#2596C2214yes—
63#2596C2214yes—
64#2595C2214yes—
65#2594C2214yes—
66#2594C2214yes—
67#2590C2214yescomplemented
68#2588C2214yescomplemented
69#2577C2214yescomplemented
70#2575C2214yescomplemented
71#2569C2214yes—
72#2564C2214yes—
73#2561C2214yes—
74#2560C2214yes—
75#2558C2214yes—
76#2534C2214yes—
77#2533C2214yescomplemented
78#2533C2214yescomplemented
79#2532C2214yes—
80#2532C2214yes—
81#2531C2214yes—
82#2530C2214yescomplemented
83#2529C2214yes—
84#2529C2214yes—
85#2528C2214yescomplemented
86#2528C2214yescomplemented
87#2527C2214yescomplemented
88#2526C2214yes—
89#2525C2214yes—
90#2525C2214yes—
91#2524C2214yescomplemented
92#2524C2214yescomplemented
93#2524C2214yescomplemented
94#2523C2214yescomplemented
95#2520C2214yescomplemented
96#2519C2214yes—
97#2518C2214yes—
98#2518C2214yes—
99#2517C2214yescomplemented
100#2516C2214yes—
101#2515C2214yescomplemented
102#2515C2214yescomplemented
103#2514C2214yescomplemented
104#2514C2212yescomplemented
105#2514C2212yescomplemented
106#2511C2212yescomplemented
107#2511C2212yescomplemented
108#2510C2214yes—
109#2509C2212yescomplemented
110#2509C2212yescomplemented
111#2508C2212yescomplemented
112#2508C2212yescomplemented
113#2508C2214yescomplemented
114#2507C2212yescomplemented
115#2507C2212yescomplemented
116#2506C2212yescomplemented
117#2506C2212yescomplemented
118#2505C2214yescomplemented
119#2503C2214yes—
120#2497C2211yescharacteristic
121#2497C2211yescharacteristic
122#2496C2211yescharacteristic
123#2496C2211yescharacteristic
124#2495C2211yescharacteristic
125#2495C2211yescharacteristic
126#2495C2214yescomplemented
127#2494C2211yescharacteristic
128#2494C2211yescharacteristic
129#2493C2212yes—
130#2493C2214yes—
131#2493C2214yes—
132#2493C2212yes—
133#2493C2214yescomplemented
134#2492C2212yes—
135#2492C2212yes—
136#2492C2212yes—
137#2492C2212yes—
138#2489C2212yes—
139#2489C2212yes—
140#2489C2212yes—
141#2489C2212yes—
142#2489C2214yescomplemented
143#2488C2214yes—
144#2486C2214yes—
145#2480C2212yes—
146#2480C2212yes—
147#2469C2214yes—
148#2458C2214yes—
149#2454C2212yescomplemented
150#2453C2212yescomplemented
151#2452C2212yescomplemented
152#2451C2212yescomplemented
153#2447C2212yescomplemented
154#2447C2212yescomplemented
155#2446C2212yescomplemented
156#2446C2212yescomplemented
157#2442C2214yes—
158#2442C2212yescomplemented
159#2441C2212yescomplemented
160#2440C2212yescomplemented
161#2439C2212yescomplemented
162#2429C2212yes—
163#2429C2212yes—
164#2427C2212yes—
165#2427C2212yes—
166#2423C2211yescharacteristic
167#2423C2211yescharacteristic
168#2422C2211yescharacteristic
169#2422C2211yescharacteristic
170#2421C2211yescharacteristic
171#2421C2211yescharacteristic
172#2420C2211yescharacteristic
173#2420C2211yescharacteristic
174#2419C2212yes—
175#2419C2214yes—
176#2419C2212yes—
177#2419C2214yes—
178#2418C2212yes—
179#2418C2212yes—
180#2417C2212yes—
181#2417C2212yes—
182#2417C2214yes—
183#2415C2212yes—
184#2415C2212yes—
185#2402C2214yescomplemented
186#2402C2214yescomplemented
187#2401C2212yes—
188#2401C2212yes—
189#2401C2214yescomplemented
190#2401C2214yescomplemented
191#2395C2212yes—
192#2395C2212yes—
193#2370C2212yescomplemented
194#2370C2212yescomplemented
195#2370C2212yescomplemented
196#2370C2212yescomplemented
197#2369C2212yescomplemented
198#2369C2212yescomplemented
199#2367C2212yescomplemented
200#2367C2212yescomplemented
201#2365C2212yescomplemented
202#2365C2212yescomplemented
203#2365C2212yescomplemented
204#2365C2212yescomplemented
205#2363C2212yes—
206#2363C2212yes—
207#2362C2212yes—
208#2362C2212yes—
209#2362C2212yes—
210#2362C2212yes—
211#2362C2212yes—
212#2362C2212yes—
213#2362C2212yes—
214#2362C2212yes—
215#2362C2212yes—
216#2362C2212yes—
217#2362C2212yescomplemented
218#2362C2212yescomplemented
219#2360C2212yescomplemented
220#2360C2212yescomplemented
221#2356C2212yescomplemented
222#2356C2212yescomplemented
223#2356C2212yescomplemented
224#2356C2212yescomplemented
225#2355C2212yescomplemented
226#2355C2212yescomplemented
227#2355C2212yescomplemented
228#2355C2212yescomplemented
229#2354C2212yes—
230#2354C2212yes—
231#2352C2212yes—
232#2352C2212yes—
233#2347C2212yes—
234#2347C2212yes—
235#2347C2212yes—
236#2347C2212yes—
237#2346C2212yes—
238#2346C2212yes—
239#2346C2212yes—
240#2346C2212yes—
241#2329C2214yes—
242#2322C2214yes—
243#2321C2214yes—
244#2317C2211yescharacteristic
245#2316C2211yescharacteristic
246#2316C2211yescharacteristic
247#2316C2211yescharacteristic
248#2313C2214yes—
249#2312C2214yes—
250#2311C2211yescharacteristic
251#2310C2211yescharacteristic
252#2310C2211yescharacteristic
253#2310C2211yescharacteristic
254C4×#125C2214yescomplemented
255C4×#126C2212yes—
256C4×#126C2212yes—
257C4×C22⋊Q8C2214yes—
258C4×C22⋊Q8C2214yescomplemented
259C4×#123C2212yes—
260C4×#123C2214yes—
261C4×#123C2214yes—
262C4×#123C2212yes—
263#2297C2211yescharacteristic
264#2296C2211yescharacteristic
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2295C2214yescomplemented
268C2×#391C2211yescharacteristic
269C2×#389C2211yescharacteristic
270C2×#388C2212yes—
271C2×#388C2212yes—
272C2×#387C2212yes—
273#2285C2211yescharacteristic
274#2285C2211yescharacteristic
275#2283C2214yes—
276#2283C2214yes—
277#2283C2214yescomplemented
278#2280C2211yescharacteristic
279#2280C2211yescharacteristic
280#2280C2211yescharacteristic
281#2276C2212yescomplemented
282#2275C2214yes—
283#2275C2212yescomplemented
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2274C2212yescomplemented
289#2274C2212yescomplemented
290C42×Q8C2212yescomplemented
291C42×D4C2214yes—
292C42×D4C2212yescomplemented
293C4×#117C2211yescharacteristic
294C4×#117C2212yescomplemented
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303#536—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313#525—28no—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×C22⋊Q8—28no—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#120C2312yes—
332#520—28no—
333#520—28no—
334C4×#41—28no—
335C2×C4×Q8—28no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×#117—28no—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2314yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#401C2312yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#395C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
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#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
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#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#386C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2312yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#384C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#383C2312yes—
661#383C2312yes—
662#383C2314yes—
663#383C2314yes—
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#382C2314yes—
669#382C2312yes—
670#382C2314yes—
671#382C2314yes—
672#382C2314yes—
673#382C2314yes—
674#382C2311yescharacteristic
675#382C2311yescharacteristic
676#382C2311yescharacteristic
677#382C2311yescharacteristic
678#382C2314yes—
679#382C2314yes—
680#381C2314yes—
681#381C2314yes—
682#381C2314yes—
683#381C2312yes—
684#381C2314yes—
685#381C2314yes—
686#381C2312yes—
687#381C2312yes—
688#381C2312yes—
689#381C2312yes—
690#380C2312yes—
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2311yescharacteristic
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#379C2312yes—
715#379C2312yes—
716#379C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2314yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41#4118yes—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859#126—44no—
860#126—44no—
861#125—28no—
862#125—28no—
863#125—48no—
864#124—28no—
865#123—28no—
866#123—216no—
867#123—44no—
868#123—44no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—216no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—48no—
879#121—24no—
880#121—24no—
881#120—28no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—48no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—216no—
896C4×D4—216no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901#117—28no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—28no—
910#117—28no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—28no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4#4118yes—
922C2×C4⋊C4#4118yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C22⋊C4—28no—
989C2×C22⋊C4—28no—
990C2×C22⋊C4—42no—
991C2×C22⋊C4—42no—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C42—28no—
1040C2×C42—28no—
1041C2×C42—24no—
1042C2×C42—28no—
1043C2×C42—24no—
1044C2×C42—44no—
1045C2×C42—48no—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2414yes—
1087#95C2411yescharacteristic
1088#95C2414yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169C24—22no—
1170C24—22no—
1171C24—22no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2511yescharacteristic
1180#41—232no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—28no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—416no—
1193C2×Q8C2×#4114yes—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4C2×#4118yes—
1205C2×D4C2×#4114yes—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—416no—
1258C22×C4C2×#4118yes—
1259C22×C4C2×#4118yes—
1260C22×C4C2×#4118yes—
1261C22×C4C2×#4114yes—
1262C22×C4C2×#4114yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
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⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4C2×#4118yes—
1357C4⋊C4C2×#4118yes—
1358C4⋊C4C2×#4118yes—
1359C4⋊C4C2×#4118yes—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C42—22no—
1408C42—28no—
1409C42—28no—
1410C42—24no—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—28no—
1419C42—22no—
1420C42—22no—
1421C42—28no—
1422C42—24no—
1423C42—28no—
1424C42—28no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—28no—
1431C42—24no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23C22×#4114yes—
1476C23C22×#4112yes—
1477C23C22×#4112yes—
1478C23C22×#4112yes—
1479C23C2611yescharacteristic
1480Q8—28no—
1481Q8—48no—
1482Q8—48no—
1483Q8—88no—
1484D4—216no—
1485D4—28no—
1486D4—84no—
1487D4—84no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—216no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—48no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—88no—
1583C2×C4—88no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—82no—
1587C2×C4—84no—
1588C2×C4#529116yes—
1589C2×C4C22×#4118yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4118yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—88no—
1628C22C2×#52914yes—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C23×#4111yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C222−1+611yescharacteristic
1635C222−1+611yescharacteristic
1636C4—28no—
1637C4—22no—
1638C4—22no—
1639C4—28no—
1640C4—24no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—44no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—44no—
1665C4C2×#52914yes—
1666C4C2×#52914yes—
1667C2—24no—
1668C2—44no—
1669C2—81no—
1670C2—81no—
1671C2C22×#52911yescharacteristic
1672C2#6278111yescharacteristic
1673C2#6285011yescharacteristic
1674C2#6299111yescharacteristic
1675C2#6299311yescharacteristic
1676C2#6300511yescharacteristic
1677C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36507C2semidirect
2. #36506C2semidirect
3. #36491C2semidirect
4. #36489C2semidirect
5. #36311C2semidirect
6. #36310C2semidirect
7. #36178C2semidirect
8. #36173C2semidirect
9. #36069C2semidirect
10. #36055C2semidirect
11. #36006C2semidirect
12. #35901C2semidirect
13. #35900C2semidirect
14. #35899C2semidirect
15. #35804C2semidirect
16. #35803C2semidirect
17. #35644C2semidirect
19. #35585C2semidirect
20. #35575C2semidirect
21. #35462C2semidirect
22. #35461C2semidirect
23. #35313C2semidirect
24. #35307C2semidirect
25. #35027C2semidirect
26. #34814C2semidirect
27. #34780C2semidirect
29. #34271C2semidirect
30. #34266C2semidirect
32. #34187C2semidirect
33. #34179C2semidirect
34. C2×#2362C2semidirect
35. C4×#520C2semidirect
47. #2863C22semidirect
48. #2863C22semidirect
49. #2855C22semidirect
50. #2855C22semidirect
57. #2645C22semidirect
58. #2645C22semidirect
59. #2625C22semidirect
60. #2625C22semidirect
67. #2590C22semidirect
68. #2588C22semidirect
69. #2577C22semidirect
70. #2575C22semidirect
77. #2533C22semidirect
78. #2533C22semidirect
82. #2530C22semidirect
85. #2528C22semidirect
86. #2528C22semidirect
87. #2527C22semidirect
91. #2524C22semidirect
92. #2524C22semidirect
93. #2524C22semidirect
94. #2523C22semidirect
95. #2520C22semidirect
99. #2517C22semidirect
101. #2515C22semidirect
102. #2515C22semidirect
103. #2514C22semidirect
104. #2514C22semidirect
105. #2514C22semidirect
106. #2511C22semidirect
107. #2511C22semidirect
109. #2509C22semidirect
110. #2509C22semidirect
111. #2508C22semidirect
112. #2508C22semidirect
113. #2508C22semidirect
114. #2507C22semidirect
115. #2507C22semidirect
116. #2506C22semidirect
117. #2506C22semidirect
118. #2505C22semidirect
126. #2495C22semidirect
133. #2493C22semidirect
142. #2489C22semidirect
149. #2454C22semidirect
150. #2453C22semidirect
151. #2452C22semidirect
152. #2451C22semidirect
153. #2447C22semidirect
154. #2447C22semidirect
155. #2446C22semidirect
156. #2446C22semidirect
158. #2442C22semidirect
159. #2441C22semidirect
160. #2440C22semidirect
161. #2439C22semidirect
185. #2402C22semidirect
186. #2402C22semidirect
189. #2401C22semidirect
190. #2401C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2370C22semidirect
196. #2370C22semidirect
197. #2369C22semidirect
198. #2369C22semidirect
199. #2367C22semidirect
200. #2367C22semidirect
201. #2365C22semidirect
202. #2365C22semidirect
203. #2365C22semidirect
204. #2365C22semidirect
217. #2362C22semidirect
218. #2362C22semidirect
219. #2360C22semidirect
220. #2360C22semidirect
221. #2356C22semidirect
222. #2356C22semidirect
223. #2356C22semidirect
224. #2356C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
227. #2355C22semidirect
228. #2355C22semidirect
254. C4×#125C22semidirect
258. C4×C22⋊Q8C22semidirect
267. #2295C22semidirect
277. #2283C22semidirect
281. #2276C22semidirect
283. #2275C22semidirect
288. #2274C22semidirect
289. #2274C22semidirect
290. C42×Q8C22semidirect
292. C42×D4C22semidirect
294. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#365072
#365062
#364912
#364892
#363112
#363102
#361782
#361732
#360692
#360552
#360062
#359012
#359002
#358992
#358042
#358032
#356442
#356332
#355852
#355752
#354622
#354612
#353132
#353072
#350272
#348142
#347802
#347422
#342712
#342662
#342012
#341872
#341792
C2×#23622
C4×#5202