Finite Group Databasebeta

← #7652441

Subgroups — #7652441

Order 512.

4776 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42902C212yesmaximal, complemented
2#42899C212yesmaximal, complemented
3#42897C212yesmaximal, complemented
4#42873C212yesmaximal, complemented
5#42868C212yesmaximal, complemented
6#42845C212yesmaximal, complemented
7#42841C212yesmaximal, complemented
8#42833C212yesmaximal, complemented
9#41974C214yesmaximal, complemented
10#41964C214yesmaximal, complemented
11#40191C212yesmaximal, complemented
12#40128C212yesmaximal, complemented
13#40123C212yesmaximal, complemented
14#40099C212yesmaximal, complemented
15#39782C212yesmaximal, complemented
16#39249C212yesmaximal, complemented
17#39243C212yesmaximal, complemented
18#39226C212yesmaximal, complemented
19#38402C214yesmaximal, complemented
20#38400C214yesmaximal, complemented
21#35677C211yesmaximal, characteristic
22#35668C211yesmaximal, characteristic, complemented
23#35575C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic
25#35531C211yesmaximal, characteristic
26#35529C211yesmaximal, characteristic, complemented
27#35266C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35182C211yesmaximal, characteristic, complemented
30#34948C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2448C211yesmaximal, characteristic, complemented
33#34276C211yesmaximal, characteristic, complemented
34#34211C211yesmaximal, characteristic, complemented
35#34182C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2864C2212yescomplemented
46#2860C2212yes—
47#2860C2212yes—
48#2859C2212yescomplemented
49#2853C2214yes—
50#2838C2214yescomplemented
51#2837C2214yescomplemented
52#2837C2214yescomplemented
53#2836C2214yescomplemented
54#2808C2214yescomplemented
55#2807C2214yescomplemented
56#2798C2214yescomplemented
57#2796C2214yescomplemented
58#2796C2214yescomplemented
59#2795C2214yescomplemented
60#2793C2214yescomplemented
61#2790C2214yescomplemented
62#2787C2214yescomplemented
63#2785C2214yescomplemented
64#2783C2214yescomplemented
65#2783C2214yescomplemented
66#2782C2214yescomplemented
67#2781C2214yescomplemented
68#2781C2214yescomplemented
69#2777C2214yescomplemented
70#2775C2214yescomplemented
71#2773C2214yescomplemented
72#2771C2214yescomplemented
73#2765C2214yescomplemented
74#2744C2214yescomplemented
75#2732C2214yescomplemented
76#2727C2214yescomplemented
77#2724C2214yescomplemented
78#2721C2214yescomplemented
79#2720C2214yescomplemented
80#2718C2214yescomplemented
81#2718C2214yescomplemented
82#2694C2214yescomplemented
83#2694C2214yescomplemented
84#2689C2214yescomplemented
85#2680C2214yescomplemented
86#2667C2214yescomplemented
87#2664C2214yescomplemented
88#2663C2214yescomplemented
89#2663C2214yescomplemented
90#2654C2214yescomplemented
91#2654C2214yescomplemented
92#2652C2214yescomplemented
93#2651C2214yescomplemented
94#2651C2214yescomplemented
95#2650C2214yescomplemented
96#2649C2214yescomplemented
97#2649C2214yescomplemented
98#2647C2212yescomplemented
99#2647C2212yescomplemented
100#2644C2212yes—
101#2644C2212yes—
102#2623C2214yes—
103#2596C2214yescomplemented
104#2594C2214yescomplemented
105#2577C2214yescomplemented
106#2575C2214yescomplemented
107#2573C2214yescomplemented
108#2571C2211yescharacteristic, complemented
109#2571C2211yescharacteristic, complemented
110#2570C2211yescharacteristic, complemented
111#2570C2211yescharacteristic, complemented
112#2570C2211yescharacteristic, complemented
113#2570C2211yescharacteristic, complemented
114#2569C2212yes—
115#2569C2212yes—
116#2568C2212yescomplemented
117#2567C2212yescomplemented
118#2566C2212yes—
119#2566C2212yes—
120#2565C2212yescomplemented
121#2565C2212yescomplemented
122#2564C2214yes—
123#2563C2212yes—
124#2560C2214yescomplemented
125#2560C2214yescomplemented
126#2558C2214yescomplemented
127#2558C2214yescomplemented
128#2556C2214yescomplemented
129#2553C2214yescomplemented
130#2553C2214yescomplemented
131#2552C2211yescharacteristic, complemented
132#2552C2211yescharacteristic, complemented
133#2548C2212yes—
134#2548C2212yes—
135#2545C2212yes—
136#2545C2212yes—
137#2542C2212yes—
138#2514C2211yescharacteristic, complemented
139#2514C2211yescharacteristic, complemented
140#2513C2212yes—
141#2513C2212yes—
142#2513C2211yescharacteristic, complemented
143#2513C2211yescharacteristic, complemented
144#2512C2212yes—
145#2512C2212yes—
146#2512C2211yescharacteristic, complemented
147#2512C2211yescharacteristic, complemented
148#2511C2211yescharacteristic, complemented
149#2511C2211yescharacteristic, complemented
150#2510C2212yes—
151#2510C2212yes—
152#2509C2212yescomplemented
153#2508C2212yescomplemented
154#2507C2212yescomplemented
155#2506C2212yescomplemented
156#2505C2214yes—
157#2504C2212yes—
158#2501C2212yes—
159#2500C2212yes—
160#2500C2212yes—
161#2481C2212yes—
162#2481C2212yes—
163#2480C2214yes—
164#2480C2214yes—
165#2473C2214yes—
166#2454C2212yes—
167#2454C2212yes—
168#2454C2212yescomplemented
169#2453C2212yescomplemented
170#2453C2212yescomplemented
171#2453C2212yescomplemented
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yescomplemented
175#2451C2212yescomplemented
176#2451C2212yescomplemented
177#2451C2212yescomplemented
178#2448C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2448C2212yes—
182#2448C2212yes—
183#2448C2212yes—
184#2448C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2448C2212yes—
188#2448C2212yescomplemented
189#2448C2212yescomplemented
190#2447C2212yes—
191#2447C2212yes—
192#2446C2212yescomplemented
193#2446C2212yescomplemented
194#2445C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2445C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2442C2212yescomplemented
201#2441C2212yescomplemented
202#2440C2212yescomplemented
203#2439C2212yescomplemented
204#2438C2214yes—
205#2438C2214yes—
206#2437C2214yes—
207#2437C2214yes—
208#2426C2212yes—
209#2426C2212yes—
210#2426C2212yes—
211#2426C2212yes—
212#2423C2212yescomplemented
213#2423C2212yescomplemented
214#2422C2212yes—
215#2422C2212yes—
216#2421C2212yescomplemented
217#2421C2212yescomplemented
218#2420C2212yes—
219#2420C2212yes—
220#2418C2214yes—
221#2418C2214yes—
222#2417C2214yes—
223#2412C2214yes—
224#2412C2214yes—
225#2411C2214yes—
226#2411C2214yes—
227#2402C2212yescomplemented
228#2402C2212yescomplemented
229#2401C2212yescomplemented
230#2401C2212yescomplemented
231C2×#399C2212yes—
232C2×#397C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2359C2214yes—
242#2359C2214yes—
243#2351C2212yescomplemented
244#2351C2212yescomplemented
245#2351C2212yescomplemented
246#2351C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249Q8×C4⋊C4C2212yescomplemented
250Q8×C4⋊C4C2212yescomplemented
251#2342C2214yes—
252#2342C2214yes—
253#2335C2214yescomplemented
254#2335C2214yescomplemented
255#2334C2214yescomplemented
256#2332C2214yescomplemented
257#2327C2212yescomplemented
258#2326C2212yes—
259#2326C2212yes—
260#2326C2212yescomplemented
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2214yes—
267#2311C2211yescharacteristic
268#2310C2211yescharacteristic
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271C4×C4⋊Q8C2212yescomplemented
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yescomplemented
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#388C2212yes—
290C2×#388C2212yes—
291#2285C2211yescharacteristic
292#2285C2214yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302#544—44no—
303#536—28no—
304#535—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124—28no—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#120C2314yes—
339#520—44no—
340#519—44no—
341#519—44no—
342#518—44no—
343C2×C4×Q8—28no—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391#401C2312yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
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#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2314yes—
718#384C2314yes—
719#384C2311yescharacteristic
720#383C2312yes—
721#383C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#379C2314yes—
757#379C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C4⋊Q8—28no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856#127—44no—
857#126—48no—
858#126—44no—
859#126—44no—
860#126—84no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—84no—
866#124—28no—
867#124—28no—
868#124—28no—
869#124—28no—
870#124—28no—
871#124—44no—
872#123—216no—
873#123—48no—
874#123—48no—
875#123—84no—
876#123—84no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—84no—
882C22⋊Q8—84no—
883#121—44no—
884#121—44no—
885#120—48no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—48no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—48no—
913#117—48no—
914#117—44no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—42no—
919C2×C4⋊C4—42no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C22⋊C4—28no—
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—44no—
1003C2×C22⋊C4—44no—
1004C2×C22⋊C4—48no—
1005C2×C22⋊C4—82no—
1006C2×C22⋊C4—82no—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C42—28no—
1056C2×C42—24no—
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
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—
1171C24—24no—
1172C24—24no—
1173C24—24no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24C2514yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181#41—416no—
1182C2×Q8—232no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8C2×#4118yes—
1194C2×Q8C2×#4118yes—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—416no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4C2×#4118yes—
1253C22×C4C2×#4114yes—
1254C22×C4H(5,𝔽2)14yes—
1255C22×C42−1+414yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C42—28no—
1415C42—22no—
1416C42—22no—
1417C42—28no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—42no—
1437C42—42no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—24no—
1454C23—24no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—24no—
1460C23—24no—
1461C23—22no—
1462C23—24no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—48no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23C22×#4112yes—
1474C23C2×H(5,𝔽2)12yes—
1475C23C2×2−1+412yes—
1476C23C2611yescharacteristic
1477Q8—216no—
1478Q8—216no—
1479Q8—44no—
1480Q8—164no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—44no—
1485D4—164no—
1486D4—164no—
1487C2×C4—21no—
1488C2×C4—24no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—216no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—48no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—84no—
1581C2×C4—82no—
1582C2×C4—82no—
1583C2×C4—84no—
1584C2×C4—164no—
1585C2×C4—164no—
1586C2×C4—164no—
1587C2×C4#539116yes—
1588C2×C4C22×#4118yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)12yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—42no—
1604C22—44no—
1605C22—42no—
1606C22—44no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—44no—
1614C22—42no—
1615C22—42no—
1616C22—44no—
1617C22—168no—
1618C22C2×#53914yes—
1619C22C23×#4111yescharacteristic
1620C22C22×H(5,𝔽2)11yescharacteristic
1621C22C22×2−1+411yescharacteristic
1622C22C2×#58511yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22H(7,𝔽2)11yescharacteristic
1625C222−1+611yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—28no—
1629C4—42no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—44no—
1637C4—41no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4C2×#53914yes—
1657C4C2×#53914yes—
1658C2—24no—
1659C2—82no—
1660C2—84no—
1661C2C22×#53911yescharacteristic
1662C2#6283111yescharacteristic
1663C2#6287911yescharacteristic
1664C2#6293111yescharacteristic
1665C2#6296111yescharacteristic
1666C2#6300511yescharacteristic
1667C2#6300611yescharacteristic
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. #42902C2semidirect
2. #42899C2semidirect
3. #42897C2semidirect
4. #42873C2semidirect
5. #42868C2semidirect
6. #42845C2semidirect
7. #42841C2semidirect
8. #42833C2semidirect
9. #41974C2semidirect
10. #41964C2semidirect
11. #40191C2semidirect
12. #40128C2semidirect
13. #40123C2semidirect
14. #40099C2semidirect
15. #39782C2semidirect
16. #39249C2semidirect
17. #39243C2semidirect
18. #39226C2semidirect
19. #38402C2semidirect
20. #38400C2semidirect
22. #35668C2semidirect
23. #35575C2semidirect
26. #35529C2semidirect
27. #35266C2semidirect
28. #35265C2semidirect
29. #35182C2semidirect
30. #34948C2semidirect
31. #34816C2semidirect
32. C2×#2448C2semidirect
33. #34276C2semidirect
34. #34211C2semidirect
35. #34182C2semidirect
45. #2864C22semidirect
48. #2859C22semidirect
50. #2838C22semidirect
51. #2837C22semidirect
52. #2837C22semidirect
53. #2836C22semidirect
54. #2808C22semidirect
55. #2807C22semidirect
56. #2798C22semidirect
57. #2796C22semidirect
58. #2796C22semidirect
59. #2795C22semidirect
60. #2793C22semidirect
61. #2790C22semidirect
62. #2787C22semidirect
63. #2785C22semidirect
64. #2783C22semidirect
65. #2783C22semidirect
66. #2782C22semidirect
67. #2781C22semidirect
68. #2781C22semidirect
69. #2777C22semidirect
70. #2775C22semidirect
71. #2773C22semidirect
72. #2771C22semidirect
73. #2765C22semidirect
74. #2744C22semidirect
75. #2732C22semidirect
76. #2727C22semidirect
77. #2724C22semidirect
78. #2721C22semidirect
79. #2720C22semidirect
80. #2718C22semidirect
81. #2718C22semidirect
82. #2694C22semidirect
83. #2694C22semidirect
84. #2689C22semidirect
85. #2680C22semidirect
86. #2667C22semidirect
87. #2664C22semidirect
88. #2663C22semidirect
89. #2663C22semidirect
90. #2654C22semidirect
91. #2654C22semidirect
92. #2652C22semidirect
93. #2651C22semidirect
94. #2651C22semidirect
95. #2650C22semidirect
96. #2649C22semidirect
97. #2649C22semidirect
98. #2647C22semidirect
99. #2647C22semidirect
103. #2596C22semidirect
104. #2594C22semidirect
105. #2577C22semidirect
106. #2575C22semidirect
107. #2573C22semidirect
108. #2571C22semidirect
109. #2571C22semidirect
110. #2570C22semidirect
111. #2570C22semidirect
112. #2570C22semidirect
113. #2570C22semidirect
116. #2568C22semidirect
117. #2567C22semidirect
120. #2565C22semidirect
121. #2565C22semidirect
124. #2560C22semidirect
125. #2560C22semidirect
126. #2558C22semidirect
127. #2558C22semidirect
128. #2556C22semidirect
129. #2553C22semidirect
130. #2553C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
138. #2514C22semidirect
139. #2514C22semidirect
142. #2513C22semidirect
143. #2513C22semidirect
146. #2512C22semidirect
147. #2512C22semidirect
148. #2511C22semidirect
149. #2511C22semidirect
152. #2509C22semidirect
153. #2508C22semidirect
154. #2507C22semidirect
155. #2506C22semidirect
168. #2454C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
171. #2453C22semidirect
174. #2452C22semidirect
175. #2451C22semidirect
176. #2451C22semidirect
177. #2451C22semidirect
188. #2448C22semidirect
189. #2448C22semidirect
192. #2446C22semidirect
193. #2446C22semidirect
200. #2442C22semidirect
201. #2441C22semidirect
202. #2440C22semidirect
203. #2439C22semidirect
212. #2423C22semidirect
213. #2423C22semidirect
216. #2421C22semidirect
217. #2421C22semidirect
227. #2402C22semidirect
228. #2402C22semidirect
229. #2401C22semidirect
230. #2401C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
243. #2351C22semidirect
244. #2351C22semidirect
245. #2351C22semidirect
246. #2351C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
249. Q8×C4⋊C4C22semidirect
250. Q8×C4⋊C4C22semidirect
253. #2335C22semidirect
254. #2335C22semidirect
255. #2334C22semidirect
256. #2332C22semidirect
257. #2327C22semidirect
260. #2326C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect
278. C4×#124C22semidirect

Maximal subgroups

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

subgroupindex
#429022
#428992
#428972
#428732
#428682
#428452
#428412
#428332
#419742
#419642
#401912
#401282
#401232
#400992
#397822
#392492
#392432
#392262
#384022
#384002
#356772
#356682
#355752
#355412
#355312
#355292
#352662
#352652
#351822
#349482
#348162
C2×#24482
#342762
#342112
#341822