Finite Group Databasebeta

← #7650840

Subgroups — #7650840

Order 512.

4850 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42959C212yesmaximal, complemented
2#42939C212yesmaximal, complemented
3#42902C212yesmaximal, complemented
4#42845C212yesmaximal, complemented
5#42551C212yesmaximal, complemented
6#42536C212yesmaximal, complemented
7#42521C212yesmaximal, complemented
8#42516C212yesmaximal, complemented
9#41444C214yesmaximal, complemented
10#40752C214yesmaximal, complemented
11#40191C212yesmaximal, complemented
12#40057C212yesmaximal, complemented
13#40035C212yesmaximal, complemented
14#40034C212yesmaximal, complemented
15#39782C212yesmaximal, complemented
16#39199C212yesmaximal, complemented
17#39001C212yesmaximal, complemented
18#38982C212yesmaximal, complemented
19#38541C214yesmaximal, complemented
20#37901C214yesmaximal, complemented
21#35679C211yesmaximal, characteristic, complemented
22#35662C211yesmaximal, characteristic, complemented
23#35630C211yesmaximal, characteristic, complemented
24#35619C211yesmaximal, characteristic, complemented
25#35543C211yesmaximal, characteristic, complemented
26#35531C211yesmaximal, characteristic
27#35327C211yesmaximal, characteristic
28#35266C211yesmaximal, characteristic, complemented
29#35172C211yesmaximal, characteristic, complemented
30#34948C211yesmaximal, characteristic, complemented
31#34745C211yesmaximal, characteristic, complemented
32C2×#2447C211yesmaximal, characteristic, complemented
33#34276C211yesmaximal, characteristic, complemented
34#34265C211yesmaximal, characteristic
35#34250C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2860C2212yes—
46#2860C2212yes—
47#2850C2212yes—
48#2850C2212yes—
49#2848C2214yes—
50#2838C2214yescomplemented
51#2836C2214yescomplemented
52#2827C2214yescomplemented
53#2827C2214yescomplemented
54#2807C2214yescomplemented
55#2798C2214yescomplemented
56#2796C2214yescomplemented
57#2793C2214yescomplemented
58#2790C2214yescomplemented
59#2787C2214yescomplemented
60#2786C2214yescomplemented
61#2783C2214yescomplemented
62#2783C2214yescomplemented
63#2782C2214yescomplemented
64#2777C2214yescomplemented
65#2775C2214yescomplemented
66#2773C2214yescomplemented
67#2771C2214yescomplemented
68#2765C2214yescomplemented
69#2757C2214yescomplemented
70#2750C2214yescomplemented
71#2746C2214yescomplemented
72#2746C2214yescomplemented
73#2744C2214yescomplemented
74#2743C2214yescomplemented
75#2740C2214yescomplemented
76#2737C2214yescomplemented
77#2728C2214yescomplemented
78#2723C2214yescomplemented
79#2721C2214yescomplemented
80#2720C2214yescomplemented
81#2707C2214yescomplemented
82#2695C2214yescomplemented
83#2694C2214yescomplemented
84#2689C2214yescomplemented
85#2687C2214yescomplemented
86#2667C2214yescomplemented
87#2664C2214yescomplemented
88#2654C2214yescomplemented
89#2654C2214yescomplemented
90#2653C2214yescomplemented
91#2652C2214yescomplemented
92#2650C2214yescomplemented
93#2649C2214yescomplemented
94#2644C2212yes—
95#2644C2212yes—
96#2643C2214yescomplemented
97#2638C2214yescomplemented
98#2633C2214yescomplemented
99#2626C2214yes—
100#2623C2214yescomplemented
101#2620C2212yes—
102#2620C2212yes—
103#2596C2214yescomplemented
104#2594C2214yescomplemented
105#2582C2212yescomplemented
106#2582C2212yescomplemented
107#2581C2212yescomplemented
108#2581C2212yescomplemented
109#2580C2212yes—
110#2580C2212yes—
111#2577C2214yescomplemented
112#2575C2214yescomplemented
113#2573C2214yescomplemented
114#2571C2211yescharacteristic, complemented
115#2571C2212yescomplemented
116#2571C2211yescharacteristic, complemented
117#2570C2212yescomplemented
118#2570C2211yescharacteristic, complemented
119#2570C2212yescomplemented
120#2570C2211yescharacteristic, complemented
121#2570C2211yescharacteristic, complemented
122#2570C2211yescharacteristic, complemented
123#2569C2212yes—
124#2569C2212yes—
125#2566C2212yes—
126#2566C2212yes—
127#2563C2212yes—
128#2556C2214yescomplemented
129#2552C2211yescharacteristic, complemented
130#2552C2212yescomplemented
131#2552C2211yescharacteristic, complemented
132#2545C2212yes—
133#2545C2212yes—
134#2544C2212yes—
135#2544C2212yes—
136#2542C2212yes—
137#2538C2212yes—
138#2538C2212yes—
139#2534C2214yes—
140#2534C2214yes—
141#2514C2212yescomplemented
142#2514C2212yescomplemented
143#2514C2212yescomplemented
144#2514C2212yescomplemented
145#2513C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2512C2212yes—
149#2511C2212yescomplemented
150#2511C2212yescomplemented
151#2511C2212yescomplemented
152#2511C2212yescomplemented
153#2509C2212yescomplemented
154#2508C2212yescomplemented
155#2507C2212yescomplemented
156#2506C2212yescomplemented
157#2505C2214yes—
158#2504C2212yes—
159#2503C2212yescomplemented
160#2502C2212yescomplemented
161#2501C2212yes—
162#2500C2212yes—
163#2500C2212yes—
164#2499C2212yescomplemented
165#2499C2212yescomplemented
166#2493C2214yes—
167#2493C2214yes—
168#2488C2214yescomplemented
169#2482C2214yes—
170#2482C2214yes—
171#2481C2214yescomplemented
172#2480C2214yes—
173#2480C2214yes—
174#2473C2214yes—
175#2466C2214yescomplemented
176#2460C2214yescomplemented
177#2454C2211yescharacteristic, complemented
178#2454C2211yescharacteristic, complemented
179#2453C2212yescomplemented
180#2453C2212yescomplemented
181#2453C2211yescharacteristic, complemented
182#2453C2211yescharacteristic, complemented
183#2452C2211yescharacteristic, complemented
184#2452C2211yescharacteristic, complemented
185#2451C2212yescomplemented
186#2451C2212yescomplemented
187#2451C2211yescharacteristic, complemented
188#2451C2211yescharacteristic, complemented
189#2450C2212yes—
190#2450C2212yes—
191#2449C2212yes—
192#2449C2212yes—
193#2449C2214yescomplemented
194#2448C2212yes—
195#2448C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2448C2212yes—
201#2448C2212yes—
202#2448C2212yes—
203#2448C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2447C2212yes—
208#2447C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2447C2212yes—
212#2447C2212yescomplemented
213#2447C2212yescomplemented
214#2446C2212yescomplemented
215#2446C2212yescomplemented
216#2445C2212yes—
217#2445C2212yes—
218#2442C2212yes—
219#2442C2212yes—
220#2438C2214yes—
221#2438C2214yes—
222#2419C2214yes—
223#2419C2214yes—
224#2419C2214yescomplemented
225#2418C2214yes—
226#2418C2214yes—
227#2402C2212yescomplemented
228#2402C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#397C2212yes—
232C2×#397C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2366C2212yes—
236#2366C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2362C2212yescomplemented
240#2362C2212yescomplemented
241#2361C2212yes—
242#2361C2212yes—
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2359C2214yes—
246#2359C2214yes—
247#2351C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249#2349C2214yes—
250#2349C2212yescomplemented
251D4×C4⋊C4C2214yes—
252D4×C4⋊C4C2212yescomplemented
253#2334C2214yescomplemented
254#2332C2214yescomplemented
255#2327C2212yescomplemented
256#2326C2212yescomplemented
257#2322C2214yescomplemented
258#2321C2214yes—
259#2318C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2212yescomplemented
265#2316C2211yescharacteristic
266#2316C2212yescomplemented
267#2310C2211yescharacteristic
268#2310C2211yescharacteristic
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271#2309C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#120C2214yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2212yescomplemented
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2212yescomplemented
291C2×#385C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C2×#381C2212yes—
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#536—28no—
304#535—28no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2314yes—
317C2×#124—44no—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#120C2314yes—
338#520—28no—
339#520—44no—
340#519—44no—
341C4×#41—44no—
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×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×D4—44no—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2314yes—
396#401C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2312yes—
430#399C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#395C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#384C2312yes—
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2314yes—
724#383C2314yes—
725#383C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2314yes—
739#382C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810C2×#95C2311yescharacteristic
811C2×#95C2311yescharacteristic
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41#4118yes—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4—82no—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—28no—
861C4⋊Q8—42no—
862C4⋊Q8—42no—
863#127—28no—
864#126—48no—
865#126—84no—
866#125—44no—
867#125—42no—
868#125—42no—
869#125—44no—
870#125—84no—
871#124—28no—
872#124—28no—
873#124—44no—
874#124—44no—
875#124—44no—
876#124—44no—
877#123—216no—
878#123—48no—
879#123—84no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—84no—
888#121—28no—
889#121—28no—
890#120—216no—
891C4×Q8—28no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×D4—216no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—48no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—84no—
915#117—28no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—44no—
924#117—48no—
925#117—44no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—42no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—84no—
933C2×C4⋊C4—82no—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4—44no—
1016C2×C22⋊C4—44no—
1017C2×C22⋊C4—44no—
1018C2×C22⋊C4—82no—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—24no—
1067C2×C42—44no—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
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#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24—24no—
1178C24—24no—
1179C24—24no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24C2514yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187#41—232no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—416no—
1203C2×Q8C2×#4114yes—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—416no—
1221C2×D4C2×#4118yes—
1222C2×D4C2×#4114yes—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—816no—
1271C22×C4C2×#4118yes—
1272C22×C4C2×#4114yes—
1273C22×C4H(5,𝔽2)14yes—
1274C22×C42−1+414yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—24no—
1452C42—24no—
1453C42—42no—
1454C42—42no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—42no—
1462C42—42no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—24no—
1474C23—24no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—24no—
1480C23—48no—
1481C23—48no—
1482C23—48no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23C22×#4114yes—
1488C23C22×#4112yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×2−1+412yes—
1491C23C2611yescharacteristic
1492Q8—28no—
1493Q8—48no—
1494Q8—48no—
1495Q8—84no—
1496Q8—84no—
1497D4—216no—
1498D4—28no—
1499D4—48no—
1500D4—48no—
1501D4—88no—
1502D4—88no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—216no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4—88no—
1597C2×C4—82no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—82no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—88no—
1605C2×C4—164no—
1606C2×C4#539116yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C2×C4#58512yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—44no—
1631C22—44no—
1632C22—44no—
1633C22—44no—
1634C22—44no—
1635C22—44no—
1636C22—816no—
1637C22C2×#53914yes—
1638C22C23×#4111yescharacteristic
1639C22C22×H(5,𝔽2)11yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22H(7,𝔽2)11yescharacteristic
1644C222−1+611yescharacteristic
1645C4—22no—
1646C4—22no—
1647C4—24no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—44no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—44no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—44no—
1675C4C2×#53914yes—
1676C4C2×#53914yes—
1677C2—24no—
1678C2—44no—
1679C2—84no—
1680C2C22×#53911yescharacteristic
1681C2#6283111yescharacteristic
1682C2#6287911yescharacteristic
1683C2#6292411yescharacteristic
1684C2#6292511yescharacteristic
1685C2#6299511yescharacteristic
1686C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42959C2semidirect
2. #42939C2semidirect
3. #42902C2semidirect
4. #42845C2semidirect
5. #42551C2semidirect
6. #42536C2semidirect
7. #42521C2semidirect
8. #42516C2semidirect
9. #41444C2semidirect
10. #40752C2semidirect
11. #40191C2semidirect
12. #40057C2semidirect
13. #40035C2semidirect
14. #40034C2semidirect
15. #39782C2semidirect
16. #39199C2semidirect
17. #39001C2semidirect
18. #38982C2semidirect
19. #38541C2semidirect
20. #37901C2semidirect
21. #35679C2semidirect
22. #35662C2semidirect
23. #35630C2semidirect
24. #35619C2semidirect
25. #35543C2semidirect
28. #35266C2semidirect
29. #35172C2semidirect
30. #34948C2semidirect
31. #34745C2semidirect
32. C2×#2447C2semidirect
33. #34276C2semidirect
35. #34250C2semidirect
50. #2838C22semidirect
51. #2836C22semidirect
52. #2827C22semidirect
53. #2827C22semidirect
54. #2807C22semidirect
55. #2798C22semidirect
56. #2796C22semidirect
57. #2793C22semidirect
58. #2790C22semidirect
59. #2787C22semidirect
60. #2786C22semidirect
61. #2783C22semidirect
62. #2783C22semidirect
63. #2782C22semidirect
64. #2777C22semidirect
65. #2775C22semidirect
66. #2773C22semidirect
67. #2771C22semidirect
68. #2765C22semidirect
69. #2757C22semidirect
70. #2750C22semidirect
71. #2746C22semidirect
72. #2746C22semidirect
73. #2744C22semidirect
74. #2743C22semidirect
75. #2740C22semidirect
76. #2737C22semidirect
77. #2728C22semidirect
78. #2723C22semidirect
79. #2721C22semidirect
80. #2720C22semidirect
81. #2707C22semidirect
82. #2695C22semidirect
83. #2694C22semidirect
84. #2689C22semidirect
85. #2687C22semidirect
86. #2667C22semidirect
87. #2664C22semidirect
88. #2654C22semidirect
89. #2654C22semidirect
90. #2653C22semidirect
91. #2652C22semidirect
92. #2650C22semidirect
93. #2649C22semidirect
96. #2643C22semidirect
97. #2638C22semidirect
98. #2633C22semidirect
100. #2623C22semidirect
103. #2596C22semidirect
104. #2594C22semidirect
105. #2582C22semidirect
106. #2582C22semidirect
107. #2581C22semidirect
108. #2581C22semidirect
111. #2577C22semidirect
112. #2575C22semidirect
113. #2573C22semidirect
114. #2571C22semidirect
115. #2571C22semidirect
116. #2571C22semidirect
117. #2570C22semidirect
118. #2570C22semidirect
119. #2570C22semidirect
120. #2570C22semidirect
121. #2570C22semidirect
122. #2570C22semidirect
128. #2556C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
141. #2514C22semidirect
142. #2514C22semidirect
143. #2514C22semidirect
144. #2514C22semidirect
149. #2511C22semidirect
150. #2511C22semidirect
151. #2511C22semidirect
152. #2511C22semidirect
153. #2509C22semidirect
154. #2508C22semidirect
155. #2507C22semidirect
156. #2506C22semidirect
159. #2503C22semidirect
160. #2502C22semidirect
164. #2499C22semidirect
165. #2499C22semidirect
168. #2488C22semidirect
171. #2481C22semidirect
175. #2466C22semidirect
176. #2460C22semidirect
177. #2454C22semidirect
178. #2454C22semidirect
179. #2453C22semidirect
180. #2453C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
193. #2449C22semidirect
212. #2447C22semidirect
213. #2447C22semidirect
214. #2446C22semidirect
215. #2446C22semidirect
224. #2419C22semidirect
227. #2402C22semidirect
228. #2402C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
247. #2351C22semidirect
248. Q8×C4⋊C4C22semidirect
250. #2349C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2334C22semidirect
254. #2332C22semidirect
255. #2327C22semidirect
256. #2326C22semidirect
257. #2322C22semidirect
259. #2318C22semidirect
264. #2317C22semidirect
266. #2316C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×#125C22semidirect
274. C4×#125C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
285. #2296C22semidirect
290. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
#429592
#429392
#429022
#428452
#425512
#425362
#425212
#425162
#414442
#407522
#401912
#400572
#400352
#400342
#397822
#391992
#390012
#389822
#385412
#379012
#356792
#356622
#356302
#356192
#355432
#355312
#353272
#352662
#351722
#349482
#347452
C2×#24472
#342762
#342652
#342502