Finite Group Databasebeta

← #7681161

Subgroups — #7681161

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#59857C212yesmaximal, complemented
2#59856C212yesmaximal, complemented
3#59566C212yesmaximal, complemented
4#59441C212yesmaximal, complemented
5#59389C214yesmaximal, complemented
6#59386C214yesmaximal, complemented
7#45396C212yesmaximal, complemented
8#45372C212yesmaximal, complemented
9#44978C212yesmaximal, complemented
10#44977C212yesmaximal, complemented
11#43287C214yesmaximal, complemented
12#43286C214yesmaximal, complemented
13#39286C212yesmaximal, complemented
14#39283C212yesmaximal, complemented
15#39281C212yesmaximal, complemented
16#39280C212yesmaximal, complemented
17#39146C212yesmaximal, complemented
18#39143C212yesmaximal, complemented
19#36502C212yesmaximal, complemented
20#36481C212yesmaximal, complemented
21#35633C211yesmaximal, characteristic, complemented
22#35621C211yesmaximal, characteristic, complemented
23#35555C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic, complemented
25#35313C211yesmaximal, characteristic, complemented
26#35306C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#34743C211yesmaximal, characteristic
29C2×#2423C211yesmaximal, characteristic, complemented
30#34266C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34207C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34109C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2863C2212yescomplemented
49#2863C2212yescomplemented
50#2863C2212yescomplemented
51#2860C2212yescomplemented
52#2857C2212yes—
53#2850C2212yes—
54#2802C2214yescomplemented
55#2801C2214yes—
56#2796C2214yes—
57#2790C2214yescomplemented
58#2787C2214yescomplemented
59#2786C2214yescomplemented
60#2783C2214yescomplemented
61#2780C2214yes—
62#2779C2214yes—
63#2777C2214yes—
64#2772C2214yes—
65#2770C2214yescomplemented
66#2770C2214yescomplemented
67#2766C2214yescomplemented
68#2765C2214yescomplemented
69#2757C2214yescomplemented
70#2756C2214yes—
71#2747C2214yescomplemented
72#2746C2214yes—
73#2746C2214yes—
74#2741C2214yes—
75#2725C2214yescomplemented
76#2718C2214yes—
77#2711C2214yes—
78#2645C2212yescomplemented
79#2645C2212yescomplemented
80#2645C2212yescomplemented
81#2644C2212yescomplemented
82#2621C2212yes—
83#2620C2212yes—
84#2606C2214yescomplemented
85#2606C2214yescomplemented
86#2602C2214yes—
87#2598C2214yes—
88#2597C2214yes—
89#2596C2214yes—
90#2595C2214yescomplemented
91#2594C2214yes—
92#2594C2214yescomplemented
93#2593C2214yes—
94#2590C2214yescomplemented
95#2587C2214yescomplemented
96#2585C2214yescomplemented
97#2579C2214yescomplemented
98#2577C2214yescomplemented
99#2576C2214yes—
100#2570C2212yescomplemented
101#2570C2212yescomplemented
102#2569C2214yescomplemented
103#2562C2214yes—
104#2558C2214yes—
105#2552C2212yescomplemented
106#2552C2212yescomplemented
107#2547C2212yescomplemented
108#2546C2212yescomplemented
109#2545C2212yescomplemented
110#2544C2212yescomplemented
111#2534C2214yes—
112#2531C2214yescomplemented
113#2525C2214yescomplemented
114#2522C2214yes—
115#2522C2214yes—
116#2516C2214yes—
117#2515C2214yescomplemented
118#2514C2212yescomplemented
119#2514C2212yescomplemented
120#2511C2212yescomplemented
121#2511C2212yescomplemented
122#2510C2214yes—
123#2510C2214yes—
124#2507C2214yescomplemented
125#2507C2212yescomplemented
126#2507C2212yescomplemented
127#2506C2212yescomplemented
128#2506C2212yescomplemented
129#2497C2212yescomplemented
130#2496C2212yescomplemented
131#2495C2212yescomplemented
132#2494C2212yescomplemented
133#2494C2214yescomplemented
134#2493C2214yes—
135#2493C2214yes—
136#2487C2214yes—
137#2487C2212yes—
138#2486C2214yes—
139#2486C2212yes—
140#2485C2212yes—
141#2485C2212yes—
142#2481C2214yes—
143#2476C2214yes—
144#2473C2214yes—
145#2473C2214yes—
146#2468C2214yescomplemented
147#2467C2214yes—
148#2460C2214yescomplemented
149#2443C2214yes—
150#2442C2214yescomplemented
151#2441C2214yes—
152#2429C2212yes—
153#2429C2212yes—
154#2429C2211yescharacteristic
155#2429C2211yescharacteristic
156#2428C2211yescharacteristic
157#2428C2211yescharacteristic
158#2427C2212yes—
159#2427C2212yes—
160#2427C2211yescharacteristic
161#2427C2211yescharacteristic
162#2426C2211yescharacteristic
163#2426C2211yescharacteristic
164#2425C2212yes—
165#2425C2214yes—
166#2425C2214yes—
167#2425C2212yes—
168#2424C2212yes—
169#2424C2212yes—
170#2423C2212yes—
171#2423C2212yes—
172#2423C2212yes—
173#2423C2212yes—
174#2423C2212yes—
175#2423C2212yes—
176#2423C2212yes—
177#2423C2212yes—
178#2423C2212yes—
179#2422C2212yes—
180#2421C2212yes—
181#2420C2212yes—
182#2419C2214yes—
183#2418C2214yes—
184#2417C2212yes—
185#2417C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2417C2212yescomplemented
189#2417C2212yescomplemented
190#2415C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2415C2212yes—
194#2415C2212yescomplemented
195#2415C2212yescomplemented
196#2413C2214yes—
197#2412C2214yes—
198C2×#399C2212yes—
199#2392C2212yes—
200#2392C2212yes—
201C2×#398C2212yes—
202#2370C2214yescomplemented
203#2367C2212yescomplemented
204#2367C2212yescomplemented
205#2365C2212yescomplemented
206#2365C2212yescomplemented
207#2364C2214yes—
208#2362C2212yescomplemented
209#2362C2212yescomplemented
210#2361C2214yes—
211#2361C2214yes—
212#2360C2212yescomplemented
213#2360C2212yescomplemented
214#2359C2214yes—
215#2358C2214yes—
216#2354C2212yes—
217#2354C2212yescomplemented
218#2354C2212yescomplemented
219#2353C2214yescomplemented
220#2352C2212yes—
221#2352C2212yes—
222#2351C2212yescomplemented
223Q8×C4⋊C4C2212yescomplemented
224#2349C2214yes—
225#2349C2212yescomplemented
226D4×C4⋊C4C2214yes—
227D4×C4⋊C4C2212yes—
228D4×C4⋊C4C2212yescomplemented
229D4×C4⋊C4C2212yescomplemented
230D4×C4⋊C4C2212yescomplemented
231#2347C2211yescharacteristic
232#2347C2211yescharacteristic
233#2347C2214yes—
234#2346C2211yescharacteristic
235#2346C2211yescharacteristic
236#2345C2211yescharacteristic
237#2345C2211yescharacteristic
238#2344C2211yescharacteristic
239#2344C2211yescharacteristic
240#2343C2212yes—
241#2343C2212yes—
242#2342C2212yes—
243#2342C2212yes—
244#2327C2212yescomplemented
245#2326C2212yescomplemented
246#2326C2212yescomplemented
247#2326C2212yescomplemented
248#2324C2212yes—
249#2323C2212yes—
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2322C2214yes—
253#2322C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2212yescomplemented
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2316C2212yescomplemented
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2310C2211yescharacteristic
265#2310C2211yescharacteristic
266C4×C4⋊Q8C2212yescomplemented
267C4×C4⋊Q8C2212yescomplemented
268C4×#127C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×#123C2214yes—
274C4×#123C2214yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2298C2212yes—
279#2298C2212yes—
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yescomplemented
285C2×#391C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2212yescomplemented
288C2×#388C2212yes—
289C2×#387C2212yes—
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#536—28no—
304#536—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#126C2314yes—
311C2×#125C2314yes—
312C2×#125C2314yes—
313C2×#124C2311yescharacteristic
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2312yes—
317#525—28no—
318#525—44no—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8—44no—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#120C2312yes—
346C2×#120C2312yes—
347#520—28no—
348#520—44no—
349#520—44no—
350C4×#41—44no—
351C2×C4×Q8—44no—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×#117—28no—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C42C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420C22×C42C2312yes—
421#401C2314yes—
422#401C2314yes—
423#401C2314yes—
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#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#392C2312yes—
500#392C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#390C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
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#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#384C2312yes—
708#384C2312yes—
709#383C2314yes—
710#383C2314yes—
711#383C2312yes—
712#383C2312yes—
713#383C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#379C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2311yescharacteristic
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
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×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—24no—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C4⋊Q8—24no—
873C4⋊Q8—28no—
874C4⋊Q8—28no—
875#127—24no—
876#126—84no—
877#125—48no—
878#125—84no—
879#124—24no—
880#124—24no—
881#124—28no—
882#124—28no—
883#123—28no—
884#123—216no—
885#123—216no—
886#123—44no—
887#123—84no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—42no—
899C22⋊Q8—42no—
900#121—24no—
901#121—24no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—44no—
906#121—42no—
907#121—42no—
908#120—28no—
909#120—44no—
910C4×Q8—28no—
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—28no—
922C4×D4—28no—
923C4×D4—216no—
924C4×D4—28no—
925C4×D4—48no—
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—48no—
935C4×D4—48no—
936C4×D4—84no—
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—28no—
949#117—44no—
950#117—44no—
951#117—44no—
952#117—44no—
953#117#4118yes—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—84no—
966C2×C4⋊C4—82no—
967C2×C4⋊C4—82no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C22⋊C4—28no—
1036C2×C22⋊C4—24no—
1037C2×C22⋊C4—42no—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4—82no—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—28no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
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—24no—
1221C2×Q8—24no—
1222C2×Q8—22no—
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—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4C2×#4118yes—
1259C2×D4C2×#4114yes—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—28no—
1297C22×C4—24no—
1298C22×C4—41no—
1299C22×C4—42no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
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×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—28no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
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—28no—
1391C4⋊C4—24no—
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—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4C2×#4114yes—
1426C4⋊C4C2×#4114yes—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—22no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—24no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4C2×#4118yes—
1481C22⋊C42−1+414yes—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—28no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—42no—
1502C42—42no—
1503C42—44no—
1504C42—44no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—44no—
1509C42—44no—
1510C42—42no—
1511C42—44no—
1512C42—44no—
1513C42—42no—
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—21no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—21no—
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—48no—
1567D4—48no—
1568D4—44no—
1569D4—84no—
1570D4—84no—
1571D4—84no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—216no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—48no—
1662C2×C4—84no—
1663C2×C4—88no—
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—24no—
1692C22—22no—
1693C22—24no—
1694C22—22no—
1695C22—22no—
1696C22—24no—
1697C22—41no—
1698C22—42no—
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—22no—
1730C4—24no—
1731C4—24no—
1732C4—22no—
1733C4—24no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—44no—
1743C4—42no—
1744C4—41no—
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#34743C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59857C2semidirect
2. #59856C2semidirect
3. #59566C2semidirect
4. #59441C2semidirect
5. #59389C2semidirect
6. #59386C2semidirect
7. #45396C2semidirect
8. #45372C2semidirect
9. #44978C2semidirect
10. #44977C2semidirect
11. #43287C2semidirect
12. #43286C2semidirect
13. #39286C2semidirect
14. #39283C2semidirect
15. #39281C2semidirect
16. #39280C2semidirect
17. #39146C2semidirect
18. #39143C2semidirect
19. #36502C2semidirect
20. #36481C2semidirect
21. #35633C2semidirect
22. #35621C2semidirect
23. #35555C2semidirect
24. #35516C2semidirect
25. #35313C2semidirect
26. #35306C2semidirect
27. #35267C2semidirect
29. C2×#2423C2semidirect
30. #34266C2semidirect
31. #34250C2semidirect
32. #34207C2semidirect
33. #34202C2semidirect
34. #34109C2semidirect
35. C4×#536C2semidirect
48. #2863C22semidirect
49. #2863C22semidirect
50. #2863C22semidirect
51. #2860C22semidirect
54. #2802C22semidirect
57. #2790C22semidirect
58. #2787C22semidirect
59. #2786C22semidirect
60. #2783C22semidirect
65. #2770C22semidirect
66. #2770C22semidirect
67. #2766C22semidirect
68. #2765C22semidirect
69. #2757C22semidirect
71. #2747C22semidirect
75. #2725C22semidirect
78. #2645C22semidirect
79. #2645C22semidirect
80. #2645C22semidirect
81. #2644C22semidirect
84. #2606C22semidirect
85. #2606C22semidirect
90. #2595C22semidirect
92. #2594C22semidirect
94. #2590C22semidirect
95. #2587C22semidirect
96. #2585C22semidirect
97. #2579C22semidirect
98. #2577C22semidirect
100. #2570C22semidirect
101. #2570C22semidirect
102. #2569C22semidirect
105. #2552C22semidirect
106. #2552C22semidirect
107. #2547C22semidirect
108. #2546C22semidirect
109. #2545C22semidirect
110. #2544C22semidirect
112. #2531C22semidirect
113. #2525C22semidirect
117. #2515C22semidirect
118. #2514C22semidirect
119. #2514C22semidirect
120. #2511C22semidirect
121. #2511C22semidirect
124. #2507C22semidirect
125. #2507C22semidirect
126. #2507C22semidirect
127. #2506C22semidirect
128. #2506C22semidirect
129. #2497C22semidirect
130. #2496C22semidirect
131. #2495C22semidirect
132. #2494C22semidirect
133. #2494C22semidirect
146. #2468C22semidirect
148. #2460C22semidirect
150. #2442C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
194. #2415C22semidirect
195. #2415C22semidirect
202. #2370C22semidirect
203. #2367C22semidirect
204. #2367C22semidirect
205. #2365C22semidirect
206. #2365C22semidirect
208. #2362C22semidirect
209. #2362C22semidirect
212. #2360C22semidirect
213. #2360C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
219. #2353C22semidirect
222. #2351C22semidirect
223. Q8×C4⋊C4C22semidirect
225. #2349C22semidirect
228. D4×C4⋊C4C22semidirect
229. D4×C4⋊C4C22semidirect
230. D4×C4⋊C4C22semidirect
244. #2327C22semidirect
245. #2326C22semidirect
246. #2326C22semidirect
247. #2326C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
257. #2317C22semidirect
260. #2316C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×#127C22semidirect
269. C4×#124C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
284. #2296C22semidirect
287. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
#598572
#598562
#595662
#594412
#593892
#593862
#453962
#453722
#449782
#449772
#432872
#432862
#392862
#392832
#392812
#392802
#391462
#391432
#365022
#364812
#356332
#356212
#355552
#355162
#353132
#353062
#352672
#347432
C2×#24232
#342662
#342502
#342072
#342022
#341092
C4×#5362