Finite Group Databasebeta

← #7681110

Subgroups — #7681110

Order 512.

5157 conjugacy classes of subgroups.

The subgroup lattice has 1771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59404C212yesmaximal, complemented
2#59398C212yesmaximal, complemented
3#59395C212yesmaximal, complemented
4#59393C212yesmaximal, complemented
5#59388C214yesmaximal, complemented
6#59387C214yesmaximal, complemented
7#45348C212yesmaximal, complemented
8#45203C212yesmaximal, complemented
9#45090C212yesmaximal, complemented
10#45089C212yesmaximal, complemented
11#43287C214yesmaximal, complemented
12#43286C214yesmaximal, complemented
13#39554C212yesmaximal, complemented
14#39553C212yesmaximal, complemented
15#37947C212yesmaximal, complemented
16#37945C212yesmaximal, complemented
17#37897C212yesmaximal, complemented
18#37892C212yesmaximal, complemented
19#36202C212yesmaximal, complemented
20#36189C212yesmaximal, complemented
21#35633C211yesmaximal, characteristic, complemented
22#35630C211yesmaximal, characteristic, complemented
23#35557C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic
25#35308C211yesmaximal, characteristic, complemented
26#35306C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#34742C211yesmaximal, characteristic, complemented
29C2×#2423C211yesmaximal, characteristic, complemented
30#34267C211yesmaximal, characteristic, complemented
31#34266C211yesmaximal, characteristic, complemented
32#34183C211yesmaximal, characteristic, complemented
33#34180C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2864C2212yescomplemented
49#2859C2212yescomplemented
50#2857C2212yes—
51#2857C2212yescomplemented
52#2850C2212yes—
53#2850C2212yescomplemented
54#2802C2214yescomplemented
55#2801C2214yes—
56#2796C2214yes—
57#2795C2214yes—
58#2793C2214yescomplemented
59#2790C2214yescomplemented
60#2787C2214yescomplemented
61#2781C2214yescomplemented
62#2780C2214yes—
63#2778C2214yes—
64#2777C2214yes—
65#2776C2214yescomplemented
66#2770C2214yescomplemented
67#2765C2214yescomplemented
68#2757C2214yescomplemented
69#2747C2214yescomplemented
70#2747C2214yescomplemented
71#2746C2214yes—
72#2741C2214yes—
73#2741C2214yes—
74#2739C2214yes—
75#2725C2214yescomplemented
76#2718C2214yes—
77#2711C2214yes—
78#2647C2212yescomplemented
79#2647C2212yescomplemented
80#2621C2212yes—
81#2621C2212yescomplemented
82#2620C2212yes—
83#2620C2212yescomplemented
84#2608C2214yescomplemented
85#2606C2214yescomplemented
86#2601C2214yes—
87#2598C2214yes—
88#2597C2214yes—
89#2596C2214yes—
90#2596C2214yes—
91#2594C2214yes—
92#2591C2214yes—
93#2590C2214yescomplemented
94#2585C2214yescomplemented
95#2585C2214yescomplemented
96#2579C2214yescomplemented
97#2578C2214yes—
98#2578C2214yescomplemented
99#2577C2214yescomplemented
100#2576C2214yescomplemented
101#2570C2214yescomplemented
102#2559C2214yes—
103#2538C2212yes—
104#2537C2212yes—
105#2536C2212yes—
106#2535C2212yes—
107#2534C2214yes—
108#2531C2214yescomplemented
109#2530C2214yescomplemented
110#2525C2214yescomplemented
111#2525C2214yescomplemented
112#2522C2214yes—
113#2518C2214yes—
114#2516C2214yes—
115#2514C2212yescomplemented
116#2514C2212yescomplemented
117#2514C2212yescomplemented
118#2514C2212yescomplemented
119#2512C2212yescomplemented
120#2512C2212yescomplemented
121#2511C2212yescomplemented
122#2511C2212yescomplemented
123#2511C2212yescomplemented
124#2511C2212yescomplemented
125#2511C2212yescomplemented
126#2511C2212yescomplemented
127#2509C2212yescomplemented
128#2508C2212yescomplemented
129#2507C2212yescomplemented
130#2507C2214yescomplemented
131#2506C2212yescomplemented
132#2505C2214yes—
133#2497C2214yes—
134#2497C2212yescomplemented
135#2497C2212yescomplemented
136#2496C2212yescomplemented
137#2496C2212yescomplemented
138#2493C2214yes—
139#2493C2214yes—
140#2487C2214yes—
141#2486C2214yes—
142#2481C2214yes—
143#2481C2214yes—
144#2481C2214yescomplemented
145#2473C2214yes—
146#2468C2214yescomplemented
147#2467C2214yes—
148#2457C2214yes—
149#2443C2214yes—
150#2442C2214yescomplemented
151#2441C2214yes—
152#2429C2212yes—
153#2429C2212yes—
154#2429C2212yescomplemented
155#2429C2212yescomplemented
156#2427C2212yes—
157#2427C2212yes—
158#2427C2212yescomplemented
159#2427C2212yescomplemented
160#2425C2214yes—
161#2425C2214yes—
162#2425C2214yes—
163#2424C2214yes—
164#2423C2212yes—
165#2423C2212yes—
166#2423C2212yes—
167#2423C2211yescharacteristic
168#2423C2212yes—
169#2423C2212yes—
170#2423C2212yes—
171#2423C2211yescharacteristic
172#2423C2212yes—
173#2423C2212yes—
174#2422C2211yescharacteristic
175#2422C2211yescharacteristic
176#2421C2211yescharacteristic
177#2421C2211yescharacteristic
178#2420C2211yescharacteristic
179#2420C2211yescharacteristic
180#2419C2212yes—
181#2419C2212yes—
182#2418C2212yes—
183#2418C2212yes—
184#2417C2212yes—
185#2417C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2417C2212yes—
189#2416C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2415C2212yes—
194#2415C2212yes—
195#2414C2212yes—
196#2413C2214yes—
197#2412C2214yes—
198#2395C2212yes—
199#2395C2212yes—
200C2×#399C2212yes—
201C2×#398C2212yes—
202#2374C2214yes—
203#2373C2214yescomplemented
204#2367C2212yescomplemented
205#2367C2212yescomplemented
206#2365C2212yescomplemented
207#2365C2212yescomplemented
208#2364C2214yes—
209#2363C2211yescharacteristic
210#2363C2211yescharacteristic
211#2363C2212yescomplemented
212#2362C2211yescharacteristic
213#2362C2211yescharacteristic
214#2362C2212yescomplemented
215#2362C2212yescomplemented
216#2362C2212yescomplemented
217#2361C2211yescharacteristic
218#2361C2214yes—
219#2361C2211yescharacteristic
220#2361C2212yescomplemented
221#2360C2211yescharacteristic
222#2360C2211yescharacteristic
223#2360C2212yescomplemented
224#2360C2212yescomplemented
225#2360C2212yescomplemented
226#2359C2212yes—
227#2359C2212yes—
228#2358C2212yes—
229#2358C2212yes—
230#2352C2214yes—
231Q8×C4⋊C4C2212yescomplemented
232Q8×C4⋊C4C2212yescomplemented
233D4×C4⋊C4C2214yes—
234D4×C4⋊C4C2214yes—
235D4×C4⋊C4C2212yescomplemented
236D4×C4⋊C4C2212yescomplemented
237#2347C2212yes—
238#2346C2212yes—
239#2345C2212yes—
240#2345C2214yescomplemented
241#2344C2212yes—
242#2343C2214yes—
243#2342C2214yes—
244#2327C2212yescomplemented
245#2326C2212yescomplemented
246#2324C2212yescomplemented
247#2323C2212yescomplemented
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2322C2214yes—
251#2322C2214yes—
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2212yescomplemented
257#2317C2212yescomplemented
258#2316C2211yescharacteristic
259#2314C2212yes—
260#2314C2212yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2310C2211yescharacteristic
264#2310C2211yescharacteristic
265C4×C4⋊Q8C2212yescomplemented
266C4×#124C2212yescomplemented
267C4×C22⋊Q8C2212yescomplemented
268C4×C22⋊Q8C2212yescomplemented
269C4×C22⋊Q8C2212yescomplemented
270C4×#123C2212yes—
271C4×#123C2212yes—
272C4×#123C2214yes—
273C4×#123C2214yes—
274C4×#121C2212yescomplemented
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279C2×#391C2211yescharacteristic
280#2293C2212yes—
281C2×#389C2211yescharacteristic
282#2290C2212yes—
283#2290C2212yes—
284C2×#388C2212yes—
285C2×#387C2212yes—
286#2285C2211yescharacteristic
287#2285C2212yes—
288#2285C2212yescomplemented
289C2×#384C2211yescharacteristic
290C2×#384C2212yescomplemented
291#2283C2212yes—
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#537—28no—
304#536—28no—
305#536—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2314yes—
311C2×#124C2312yes—
312C2×#124C2312yes—
313#525—28no—
314#525—44no—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×C22⋊Q8—44no—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2314yes—
344C2×#120C2312yes—
345C2×#120C2312yes—
346#520—44no—
347#520—44no—
348C4×#41—28no—
349C4×#41—44no—
350C2×C4×Q8—44no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×#117—28no—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2314yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420C22×C42C2312yes—
421#401C2314yes—
422#401C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2312yes—
438#400C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#392C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2314yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2314yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2314yes—
708#384C2312yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#383C2314yes—
714#383C2314yes—
715#383C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2314yes—
728#381C2312yes—
729#381C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#379C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2314yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41#4118yes—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C4⋊Q8—28no—
873C4⋊Q8—28no—
874#126—48no—
875#126—84no—
876#125—84no—
877#124—28no—
878#124—28no—
879#123—28no—
880#123—216no—
881#123—216no—
882#123—28no—
883#123—44no—
884#123—44no—
885C22⋊Q8—24no—
886C22⋊Q8—24no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—42no—
898C22⋊Q8—42no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—216no—
903#121—28no—
904#121—42no—
905#121—42no—
906#121—84no—
907#120—28no—
908#120—44no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—42no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4—84no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—28no—
946#117—28no—
947#117—28no—
948#117—44no—
949#117—44no—
950#117—44no—
951#117—84no—
952#117#4118yes—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—48no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—84no—
965C2×C4⋊C4—82no—
966C2×C4⋊C4—82no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C22⋊C4—28no—
1035C2×C22⋊C4—24no—
1036C2×C22⋊C4—42no—
1037C2×C22⋊C4—44no—
1038C2×C22⋊C4—82no—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—28no—
1098C2×C42—28no—
1099C2×C42—44no—
1100C2×C42—44no—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24C2511yescharacteristic
1211C24C2512yes—
1212C24C2512yes—
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215#41—232no—
1216#41—416no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—416no—
1229C2×Q8C2×#4114yes—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4C2×#4118yes—
1256C2×D4C2×#4114yes—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—416no—
1326C22×C4C2×#4118yes—
1327C22×C4C2×#4114yes—
1328C22×C4C2×#4114yes—
1329C22×C4H(5,𝔽2)14yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2514yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4C2×#4114yes—
1426C4⋊C4C2×#4114yes—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—24no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4C2×#4118yes—
1482C22⋊C42−1+414yes—
1483C42—22no—
1484C42—24no—
1485C42—24no—
1486C42—22no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—22no—
1491C42—22no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—42no—
1502C42—42no—
1503C42—44no—
1504C42—44no—
1505C42—42no—
1506C42—44no—
1507C42—44no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—42no—
1512C42—42no—
1513C42—44no—
1514C42C2×#4118yes—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—22no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—22no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—82no—
1550C23—82no—
1551C23—82no—
1552C23C22×#4114yes—
1553C23C22×#4112yes—
1554C23C22×#4112yes—
1555C23C2×H(5,𝔽2)12yes—
1556C23C2×2−1+412yes—
1557C23C2611yescharacteristic
1558Q8—28no—
1559Q8—48no—
1560Q8—48no—
1561Q8—44no—
1562D4—216no—
1563D4—28no—
1564D4—48no—
1565D4—48no—
1566D4—44no—
1567D4—88no—
1568D4—84no—
1569D4—84no—
1570D4—84no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—216no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—82no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4—164no—
1671C2×C4—164no—
1672C2×C4#553116yes—
1673C2×C4C22×#4114yes—
1674C2×C4C22×#4114yes—
1675C2×C4C22×#4114yes—
1676C2×C4C22×#4112yes—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×2−1+412yes—
1683C2×C4C2×2−1+412yes—
1684C2×C4#58512yes—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—24no—
1694C22—24no—
1695C22—22no—
1696C22—24no—
1697C22—42no—
1698C22—41no—
1699C22—42no—
1700C22—41no—
1701C22—42no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—41no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—41no—
1717C22—41no—
1718C22—42no—
1719C22—88no—
1720C22C2×#55314yes—
1721C22C23×#4111yescharacteristic
1722C22C23×#4111yescharacteristic
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C22×2−1+411yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22H(7,𝔽2)11yescharacteristic
1727C222−1+611yescharacteristic
1728C4—22no—
1729C4—24no—
1730C4—22no—
1731C4—24no—
1732C4—22no—
1733C4—24no—
1734C4—41no—
1735C4—42no—
1736C4—41no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—44no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—44no—
1749C4—44no—
1750C4—42no—
1751C4—42no—
1752C4—41no—
1753C4—41no—
1754C4—42no—
1755C4—44no—
1756C4C2×#55314yes—
1757C4C2×#55314yes—
1758C2—24no—
1759C2—44no—
1760C2—42no—
1761C2—82no—
1762C2—81no—
1763C2C22×#55311yescharacteristic
1764C2#6280511yescharacteristic
1765C2#6285711yescharacteristic
1766C2#6294211yescharacteristic
1767C2#6295511yescharacteristic
1768C2#6299311yescharacteristic
1769C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35518C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59404C2semidirect
2. #59398C2semidirect
3. #59395C2semidirect
4. #59393C2semidirect
5. #59388C2semidirect
6. #59387C2semidirect
7. #45348C2semidirect
8. #45203C2semidirect
9. #45090C2semidirect
10. #45089C2semidirect
11. #43287C2semidirect
12. #43286C2semidirect
13. #39554C2semidirect
14. #39553C2semidirect
15. #37947C2semidirect
16. #37945C2semidirect
17. #37897C2semidirect
18. #37892C2semidirect
19. #36202C2semidirect
20. #36189C2semidirect
21. #35633C2semidirect
22. #35630C2semidirect
23. #35557C2semidirect
25. #35308C2semidirect
26. #35306C2semidirect
27. #35265C2semidirect
28. #34742C2semidirect
29. C2×#2423C2semidirect
30. #34267C2semidirect
31. #34266C2semidirect
32. #34183C2semidirect
33. #34180C2semidirect
34. #34136C2semidirect
35. C4×#536C2semidirect
48. #2864C22semidirect
49. #2859C22semidirect
51. #2857C22semidirect
53. #2850C22semidirect
54. #2802C22semidirect
58. #2793C22semidirect
59. #2790C22semidirect
60. #2787C22semidirect
61. #2781C22semidirect
65. #2776C22semidirect
66. #2770C22semidirect
67. #2765C22semidirect
68. #2757C22semidirect
69. #2747C22semidirect
70. #2747C22semidirect
75. #2725C22semidirect
78. #2647C22semidirect
79. #2647C22semidirect
81. #2621C22semidirect
83. #2620C22semidirect
84. #2608C22semidirect
85. #2606C22semidirect
93. #2590C22semidirect
94. #2585C22semidirect
95. #2585C22semidirect
96. #2579C22semidirect
98. #2578C22semidirect
99. #2577C22semidirect
100. #2576C22semidirect
101. #2570C22semidirect
108. #2531C22semidirect
109. #2530C22semidirect
110. #2525C22semidirect
111. #2525C22semidirect
115. #2514C22semidirect
116. #2514C22semidirect
117. #2514C22semidirect
118. #2514C22semidirect
119. #2512C22semidirect
120. #2512C22semidirect
121. #2511C22semidirect
122. #2511C22semidirect
123. #2511C22semidirect
124. #2511C22semidirect
125. #2511C22semidirect
126. #2511C22semidirect
127. #2509C22semidirect
128. #2508C22semidirect
129. #2507C22semidirect
130. #2507C22semidirect
131. #2506C22semidirect
134. #2497C22semidirect
135. #2497C22semidirect
136. #2496C22semidirect
137. #2496C22semidirect
144. #2481C22semidirect
146. #2468C22semidirect
150. #2442C22semidirect
154. #2429C22semidirect
155. #2429C22semidirect
158. #2427C22semidirect
159. #2427C22semidirect
203. #2373C22semidirect
204. #2367C22semidirect
205. #2367C22semidirect
206. #2365C22semidirect
207. #2365C22semidirect
211. #2363C22semidirect
214. #2362C22semidirect
215. #2362C22semidirect
216. #2362C22semidirect
220. #2361C22semidirect
223. #2360C22semidirect
224. #2360C22semidirect
225. #2360C22semidirect
231. Q8×C4⋊C4C22semidirect
232. Q8×C4⋊C4C22semidirect
235. D4×C4⋊C4C22semidirect
236. D4×C4⋊C4C22semidirect
240. #2345C22semidirect
244. #2327C22semidirect
245. #2326C22semidirect
246. #2324C22semidirect
247. #2323C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
256. #2317C22semidirect
257. #2317C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#124C22semidirect
267. C4×C22⋊Q8C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
274. C4×#121C22semidirect
288. #2285C22semidirect
290. C2×#384C22semidirect

Maximal subgroups

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

subgroupindex
#594042
#593982
#593952
#593932
#593882
#593872
#453482
#452032
#450902
#450892
#432872
#432862
#395542
#395532
#379472
#379452
#378972
#378922
#362022
#361892
#356332
#356302
#355572
#355182
#353082
#353062
#352652
#347422
C2×#24232
#342672
#342662
#341832
#341802
#341362
C4×#5362