Finite Group Databasebeta

← #7629077

Subgroups — #7629077

Order 512.

5140 conjugacy classes of subgroups.

The subgroup lattice has 1691 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35658C212yesmaximal, complemented
2#35656C212yesmaximal, complemented
3#35653C212yesmaximal, complemented
4#35652C212yesmaximal, complemented
5#35632C212yesmaximal, complemented
6#35630C211yesmaximal, characteristic, complemented
7#35628C211yesmaximal, characteristic, complemented
8#35621C211yesmaximal, characteristic
9#35619C211yesmaximal, characteristic, complemented
10#35599C212yesmaximal, complemented
11#35596C212yesmaximal, complemented
12#35561C212yesmaximal, complemented
13#35545C211yesmaximal, characteristic, complemented
14#35543C211yesmaximal, characteristic, complemented
15#35519C211yesmaximal, characteristic, complemented
16#35517C211yesmaximal, characteristic
17#35385C214yesmaximal, complemented
18#35382C214yesmaximal, complemented
19#34960C214yesmaximal, complemented
20#34951C212yesmaximal, complemented
21#34945C212yesmaximal, complemented
22#34918C212yesmaximal, complemented
23#34902C212yesmaximal, complemented
24#34811C214yesmaximal, complemented
25#34803C212yesmaximal, complemented
26#34793C212yesmaximal, complemented
27#34780C212yesmaximal, complemented
28#34772C212yesmaximal, complemented
29C4×#536C211yesmaximal, characteristic, complemented
30C4×#536C211yesmaximal, characteristic, complemented
31#34060C211yesmaximal, characteristic, complemented
32C4×#533C211yesmaximal, characteristic, complemented
33C4×#532C211yesmaximal, characteristic
34C2×#2295C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2597C2214yes—
46#2596C2214yes—
47#2596C2214yes—
48#2595C2214yes—
49#2594C2214yes—
50#2594C2214yes—
51#2592C2212yes—
52#2592C2212yes—
53#2590C2214yes—
54#2588C2214yes—
55#2585C2214yes—
56#2585C2214yes—
57#2582C2212yes—
58#2581C2212yes—
59#2580C2212yes—
60#2577C2214yes—
61#2575C2214yes—
62#2573C2214yes—
63#2573C2214yes—
64#2571C2212yes—
65#2570C2212yes—
66#2570C2212yes—
67#2568C2212yes—
68#2568C2212yes—
69#2560C2214yes—
70#2558C2214yes—
71#2552C2212yes—
72#2547C2212yes—
73#2546C2212yes—
74#2545C2212yes—
75#2544C2212yes—
76#2538C2212yes—
77#2533C2214yes—
78#2533C2214yes—
79#2532C2214yes—
80#2531C2214yes—
81#2530C2214yes—
82#2530C2214yes—
83#2529C2214yes—
84#2528C2214yes—
85#2528C2214yes—
86#2527C2214yes—
87#2527C2214yes—
88#2526C2214yes—
89#2525C2214yes—
90#2524C2214yes—
91#2523C2214yes—
92#2522C2214yes—
93#2520C2214yes—
94#2517C2214yes—
95#2516C2214yes—
96#2515C2214yes—
97#2514C2212yes—
98#2514C2212yes—
99#2514C2212yes—
100#2514C2212yes—
101#2514C2212yes—
102#2513C2212yes—
103#2512C2212yes—
104#2511C2212yes—
105#2511C2212yes—
106#2511C2212yes—
107#2511C2212yes—
108#2511C2212yes—
109#2510C2214yes—
110#2509C2214yes—
111#2509C2212yes—
112#2508C2212yes—
113#2507C2212yes—
114#2506C2212yes—
115#2505C2214yes—
116#2505C2214yes—
117#2503C2212yes—
118#2502C2212yes—
119#2499C2212yes—
120#2499C2212yes—
121#2497C2212yes—
122#2496C2212yes—
123#2495C2212yes—
124#2494C2214yes—
125#2494C2212yes—
126#2493C2214yes—
127#2493C2214yes—
128#2493C2214yes—
129#2492C2212yes—
130#2492C2212yes—
131#2489C2212yes—
132#2489C2212yes—
133#2488C2214yes—
134#2488C2214yes—
135#2487C2212yes—
136#2486C2212yes—
137#2485C2212yes—
138#2485C2212yes—
139#2481C2214yes—
140#2473C2214yes—
141#2469C2214yes—
142#2466C2214yes—
143#2460C2214yes—
144#2458C2214yes—
145#2453C2214yes—
146#2450C2214yes—
147#2450C2214yes—
148#2449C2214yes—
149#2448C2212yes—
150#2447C2212yes—
151#2447C2212yes—
152#2447C2212yes—
153#2446C2212yes—
154#2446C2212yes—
155#2446C2212yes—
156#2445C2212yes—
157#2444C2214yes—
158#2443C2214yes—
159#2442C2212yes—
160#2441C2212yes—
161#2440C2212yes—
162#2439C2212yes—
163#2425C2214yes—
164#2425C2214yes—
165#2421C2214yes—
166#2419C2214yes—
167#2419C2214yes—
168#2419C2214yes—
169#2417C2212yes—
170#2417C2212yes—
171#2415C2212yes—
172#2415C2212yes—
173#2402C2214yes—
174#2402C2214yes—
175#2401C2214yes—
176#2401C2214yes—
177#2401C2214yes—
178#2398C2214yes—
179#2396C2214yes—
180#2395C2214yes—
181#2327C2212yes—
182#2327C2212yes—
183#2326C2212yes—
184#2326C2212yes—
185#2323C2212yes—
186#2323C2212yes—
187#2323C2212yes—
188#2323C2212yes—
189#2322C2214yes—
190#2322C2214yes—
191#2320C2212yes—
192#2319C2212yes—
193#2318C2214yes—
194#2317C2211yescharacteristic
195#2317C2211yescharacteristic
196#2317C2211yescharacteristic
197#2317C2211yescharacteristic
198#2314C2212yes—
199#2314C2212yes—
200#2311C2211yescharacteristic
201#2311C2211yescharacteristic
202#2311C2211yescharacteristic
203#2311C2211yescharacteristic
204#2310C2211yescharacteristic
205#2310C2211yescharacteristic
206C4×C4⋊Q8C2211yescharacteristic
207C4×C4⋊Q8C2211yescharacteristic
208C4×C4⋊Q8C2212yes—
209C4×C4⋊Q8C2212yes—
210C4×C4⋊Q8C2211yescharacteristic
211C4×C4⋊Q8C2211yescharacteristic
212C4×C4⋊Q8C2211yescharacteristic
213C4×C4⋊Q8C2211yescharacteristic
214C4×#127C2211yescharacteristic
215C4×#127C2211yescharacteristic
216C4×#125C2211yescharacteristic
217C4×#125C2211yescharacteristic
218C4×#125C2214yes—
219C4×#125C2211yescharacteristic
220C4×#125C2211yescharacteristic
221C4×#126C2214yes—
222C4×#124C2212yes—
223C4×#124C2212yes—
224C4×#124C2211yescharacteristic
225C4×#124C2211yescharacteristic
226C4×#124C2211yescharacteristic
227C4×#124C2211yescharacteristic
228C4×C22⋊Q8C2212yes—
229C4×C22⋊Q8C2212yes—
230C4×C22⋊Q8C2212yes—
231C4×C22⋊Q8C2212yes—
232C4×C22⋊Q8C2212yes—
233C4×C22⋊Q8C2212yes—
234C4×C22⋊Q8C2214yes—
235C4×C22⋊Q8C2212yes—
236C4×C22⋊Q8C2212yes—
237C4×#123C2214yes—
238C4×#123C2214yes—
239C4×#123C2214yes—
240C4×#121C2212yes—
241C4×#121C2212yes—
242C4×#121C2212yes—
243C4×#121C2212yes—
244#2298C2214yes—
245#2297C2211yescharacteristic
246#2297C2211yescharacteristic
247#2296C2211yescharacteristic
248#2296C2211yescharacteristic
249#2295C2212yes—
250#2295C2212yes—
251#2295C2212yes—
252#2295C2212yes—
253#2295C2212yes—
254#2295C2212yes—
255#2295C2212yes—
256#2295C2212yes—
257#2295C2212yes—
258#2295C2214yes—
259#2295C2212yes—
260#2295C2212yes—
261C2×#391C2211yescharacteristic
262C2×#391C2211yescharacteristic
263#2293C2212yes—
264#2293C2212yes—
265#2293C2212yes—
266C2×#389C2211yescharacteristic
267C2×#389C2211yescharacteristic
268#2290C2214yes—
269#2290C2214yes—
270C2×#387C2212yes—
271C2×#387C2212yes—
272#2285C2212yes—
273#2285C2211yescharacteristic
274#2285C2211yescharacteristic
275#2283C2212yes—
276#2283C2214yes—
277#2276C2212yes—
278#2275C2212yes—
279#2275C2214yes—
280#2274C2212yes—
281#2274C2212yes—
282#2274C2211yescharacteristic
283#2274C2211yescharacteristic
284C42×Q8C2212yes—
285C42×Q8C2212yes—
286C42×Q8C2212yes—
287C42×D4C2212yes—
288C42×D4C2214yes—
289C42×D4C2212yes—
290C42×D4C2212yes—
291C4×#117C2211yescharacteristic
292C4×#117C2211yescharacteristic
293C4×#117C2212yes—
294C2×C4×C4⋊C4C2211yescharacteristic
295C2×C4×C4⋊C4C2212yes—
296C2×C4×C4⋊C4C2212yes—
297C2×#376C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302#536—28no—
303#536—28no—
304#533—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332#520—28no—
333#520—28no—
334C4×#41—28no—
335C4×#41—28no—
336C2×C4×Q8—28no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C42C2312yes—
391C22×C42C2312yes—
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2314yes—
401C22×C42C2311yescharacteristic
402#401C2314yes—
403#401C2314yes—
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#395C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
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#387C2314yes—
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#387C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2311yescharacteristic
671#382C2311yescharacteristic
672#382C2314yes—
673#382C2314yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2311yescharacteristic
680#382C2314yes—
681#382C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2312yes—
703#380C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792#376C2312yes—
793#376C2312yes—
794#376C2314yes—
795#376C2314yes—
796#376C2314yes—
797#376C2314yes—
798#376C2314yes—
799#376C2314yes—
800C2×#95C2312yes—
801C2×#95C2312yes—
802C2×#95C2312yes—
803C2×#95C2314yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C43C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41#4118yes—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C4⋊Q8—24no—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—28no—
864#127—24no—
865#126—48no—
866#125—24no—
867#125—24no—
868#125—48no—
869#124—24no—
870#124—24no—
871#124—28no—
872#124—28no—
873#123—216no—
874#123—216no—
875#123—48no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—48no—
883#121—28no—
884#121—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×D4—216no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—216no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919#117—24no—
920#117—24no—
921#117—28no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—28no—
926#117—28no—
927#117—28no—
928#117—48no—
929#117#4118yes—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—28no—
1041C2×C42—24no—
1042C2×C42—24no—
1043C2×C42—28no—
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—44no—
1047C2×C42—48no—
1048C2×C42—42no—
1049C2×C42—42no—
1050C2×C42—42no—
1051C2×C42#4118yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—232no—
1186#41—416no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—416no—
1205C2×Q8C2×#4114yes—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4C2×#4118yes—
1223C2×D4C2×#4114yes—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4C2×#4114yes—
1276C22×C4C2×#4118yes—
1277C22×C4C2×#4114yes—
1278C22×C4C2×#4114yes—
1279C22×C4C2×#4114yes—
1280C22×C4C2×#4114yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4114yes—
1378C4⋊C4C2×#4114yes—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4C2×#4118yes—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—28no—
1426C42—28no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—28no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—28no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—41no—
1451C42—41no—
1452C42—44no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—44no—
1457C42—41no—
1458C42—44no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C42—44no—
1464C42—44no—
1465C42C2×#4114yes—
1466C42C2×#4114yes—
1467C42C2×#4114yes—
1468C42C2×#4114yes—
1469C42C2×#4118yes—
1470C422−1+414yes—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23C22×#4114yes—
1489C23C22×#4112yes—
1490C23C22×#4112yes—
1491C23C22×#4112yes—
1492C23C2611yescharacteristic
1493Q8—28no—
1494Q8—48no—
1495Q8—48no—
1496Q8—48no—
1497Q8—48no—
1498Q8—44no—
1499D4—216no—
1500D4—28no—
1501D4—48no—
1502D4—48no—
1503D4—48no—
1504D4—44no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—216no—
1526C2×C4—28no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—48no—
1591C2×C4—48no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4#529116yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4114yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C2×C4#58512yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22C2×#52914yes—
1641C22C23×#4111yescharacteristic
1642C22C23×#4111yescharacteristic
1643C22C23×#4111yescharacteristic
1644C22C22×2−1+411yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—24no—
1652C4—22no—
1653C4—22no—
1654C4—24no—
1655C4—22no—
1656C4—22no—
1657C4—24no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—44no—
1669C4—44no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4C2×#52914yes—
1678C4C2×#52914yes—
1679C4#350714yes—
1680C2—24no—
1681C2—44no—
1682C2—82no—
1683C2C22×#52911yescharacteristic
1684C2C2×#350711yescharacteristic
1685C2#6280511yescharacteristic
1686C2#6280511yescharacteristic
1687C2#6281011yescharacteristic
1688C2#6281011yescharacteristic
1689C2#6281511yescharacteristic
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35658C2semidirect
2. #35656C2semidirect
3. #35653C2semidirect
4. #35652C2semidirect
5. #35632C2semidirect
6. #35630C2semidirect
7. #35628C2semidirect
9. #35619C2semidirect
10. #35599C2semidirect
11. #35596C2semidirect
12. #35561C2semidirect
13. #35545C2semidirect
14. #35543C2semidirect
15. #35519C2semidirect
17. #35385C2semidirect
18. #35382C2semidirect
19. #34960C2semidirect
20. #34951C2semidirect
21. #34945C2semidirect
22. #34918C2semidirect
23. #34902C2semidirect
24. #34811C2semidirect
25. #34803C2semidirect
26. #34793C2semidirect
27. #34780C2semidirect
28. #34772C2semidirect
29. C4×#536C2semidirect
30. C4×#536C2semidirect
31. #34060C2semidirect
32. C4×#533C2semidirect
34. C2×#2295C2semidirect
35. C4×#520C2semidirect

Maximal subgroups

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

subgroupindex
#356582
#356562
#356532
#356522
#356322
#356302
#356282
#356212
#356192
#355992
#355962
#355612
#355452
#355432
#355192
#355172
#353852
#353822
#349602
#349512
#349452
#349182
#349022
#348112
#348032
#347932
#347802
#347722
C4×#5362
#340602
C4×#5332
C4×#5322
C2×#22952
C4×#5202