Finite Group Databasebeta

← #7652094

Subgroups — #7652094

Order 512.

5389 conjugacy classes of subgroups.

The subgroup lattice has 1787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42900C212yesmaximal, complemented
2#42866C212yesmaximal, complemented
3#42860C212yesmaximal, complemented
4#42858C212yesmaximal, complemented
5#42851C212yesmaximal, complemented
6#42844C212yesmaximal, complemented
7#42835C212yesmaximal, complemented
8#42828C212yesmaximal, complemented
9#42191C214yesmaximal, complemented
10#42012C214yesmaximal, complemented
11#40218C212yesmaximal, complemented
12#40214C212yesmaximal, complemented
13#40190C212yesmaximal, complemented
14#40100C212yesmaximal, complemented
15#39783C212yesmaximal, complemented
16#39659C212yesmaximal, complemented
17#39654C212yesmaximal, complemented
18#39215C212yesmaximal, complemented
19#38468C214yesmaximal, complemented
20#38467C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35666C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35659C211yesmaximal, characteristic
25#35628C211yesmaximal, characteristic, complemented
26#35545C211yesmaximal, characteristic, complemented
27#35306C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35179C211yesmaximal, characteristic, complemented
30#34813C211yesmaximal, characteristic, complemented
31#34810C211yesmaximal, characteristic, complemented
32C2×#2429C211yesmaximal, characteristic, complemented
33#34257C211yesmaximal, characteristic, complemented
34#34209C211yesmaximal, characteristic, complemented
35#34203C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C2×#519C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2863C2212yescomplemented
50#2860C2212yescomplemented
51#2857C2212yes—
52#2855C2214yes—
53#2850C2212yes—
54#2833C2214yescomplemented
55#2831C2214yes—
56#2830C2214yescomplemented
57#2829C2214yes—
58#2808C2214yescomplemented
59#2806C2214yescomplemented
60#2805C2214yescomplemented
61#2803C2214yes—
62#2803C2214yes—
63#2800C2214yescomplemented
64#2800C2214yescomplemented
65#2797C2214yes—
66#2788C2214yes—
67#2788C2214yescomplemented
68#2788C2214yescomplemented
69#2787C2214yescomplemented
70#2787C2214yescomplemented
71#2786C2214yes—
72#2784C2214yes—
73#2781C2214yes—
74#2780C2214yes—
75#2779C2214yes—
76#2775C2214yes—
77#2774C2214yescomplemented
78#2774C2214yescomplemented
79#2770C2214yescomplemented
80#2770C2214yescomplemented
81#2768C2214yescomplemented
82#2768C2214yescomplemented
83#2759C2214yes—
84#2750C2214yes—
85#2745C2214yes—
86#2727C2214yescomplemented
87#2715C2214yes—
88#2710C2214yes—
89#2695C2214yes—
90#2666C2214yescomplemented
91#2666C2214yescomplemented
92#2665C2214yes—
93#2662C2214yes—
94#2653C2214yes—
95#2652C2214yescomplemented
96#2652C2214yescomplemented
97#2651C2214yescomplemented
98#2651C2214yescomplemented
99#2650C2214yes—
100#2649C2214yes—
101#2648C2214yes—
102#2645C2212yescomplemented
103#2644C2212yescomplemented
104#2627C2214yes—
105#2621C2212yes—
106#2620C2212yes—
107#2597C2214yes—
108#2595C2214yes—
109#2593C2214yescomplemented
110#2592C2212yescomplemented
111#2592C2212yescomplemented
112#2589C2214yescomplemented
113#2589C2214yescomplemented
114#2587C2214yescomplemented
115#2587C2214yescomplemented
116#2586C2214yescomplemented
117#2582C2212yescomplemented
118#2582C2212yescomplemented
119#2581C2212yescomplemented
120#2581C2212yescomplemented
121#2578C2214yes—
122#2576C2214yes—
123#2574C2214yes—
124#2568C2212yescomplemented
125#2568C2212yescomplemented
126#2568C2212yescomplemented
127#2567C2212yescomplemented
128#2565C2212yescomplemented
129#2565C2212yescomplemented
130#2554C2214yes—
131#2538C2212yes—
132#2538C2212yes—
133#2536C2212yes—
134#2536C2212yes—
135#2514C2212yescomplemented
136#2513C2212yescomplemented
137#2512C2212yescomplemented
138#2511C2212yescomplemented
139#2510C2214yes—
140#2510C2214yes—
141#2504C2211yescharacteristic
142#2503C2211yescharacteristic
143#2502C2211yescharacteristic
144#2501C2211yescharacteristic
145#2500C2211yescharacteristic
146#2500C2211yescharacteristic
147#2499C2211yescharacteristic
148#2499C2211yescharacteristic
149#2498C2214yes—
150#2498C2212yes—
151#2498C2214yes—
152#2498C2212yes—
153#2497C2212yescomplemented
154#2497C2212yescomplemented
155#2496C2212yescomplemented
156#2496C2212yescomplemented
157#2495C2212yescomplemented
158#2495C2212yescomplemented
159#2494C2212yescomplemented
160#2494C2212yescomplemented
161#2492C2211yescharacteristic
162#2492C2211yescharacteristic
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2491C2211yescharacteristic
166#2491C2211yescharacteristic
167#2490C2211yescharacteristic
168#2490C2211yescharacteristic
169#2489C2211yescharacteristic
170#2489C2211yescharacteristic
171#2489C2212yescomplemented
172#2489C2212yescomplemented
173#2488C2214yes—
174#2488C2214yes—
175#2488C2212yes—
176#2488C2212yes—
177#2481C2214yes—
178#2481C2214yes—
179#2472C2212yes—
180#2472C2212yes—
181#2448C2212yescomplemented
182#2448C2212yescomplemented
183#2446C2212yescomplemented
184#2446C2212yescomplemented
185#2434C2212yescomplemented
186#2434C2212yescomplemented
187#2434C2212yescomplemented
188#2434C2212yescomplemented
189#2432C2212yescomplemented
190#2432C2212yescomplemented
191#2432C2212yescomplemented
192#2432C2212yescomplemented
193#2429C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2429C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yes—
200#2429C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2423C2212yescomplemented
206#2423C2212yescomplemented
207#2421C2212yescomplemented
208#2421C2212yescomplemented
209#2417C2212yes—
210#2417C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2413C2214yes—
214#2413C2214yes—
215#2412C2212yes—
216#2412C2214yes—
217#2412C2212yes—
218#2411C2214yes—
219#2409C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2406C2214yes—
228#2406C2214yes—
229#2406C2214yes—
230#2404C2214yes—
231#2398C2212yes—
232#2398C2212yes—
233#2395C2212yes—
234#2395C2212yes—
235C2×#398C2212yes—
236C2×#396C2212yes—
237#2365C2212yescomplemented
238#2365C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2362C2212yes—
242#2362C2212yes—
243#2360C2212yes—
244#2360C2212yes—
245#2344C2214yes—
246#2344C2214yes—
247#2344C2214yes—
248#2342C2214yes—
249#2341C2212yescomplemented
250#2341C2212yescomplemented
251#2341C2212yescomplemented
252#2341C2212yescomplemented
253Q8×C22⋊C4C2212yescomplemented
254Q8×C22⋊C4C2212yescomplemented
255Q8×C22⋊C4C2212yescomplemented
256Q8×C22⋊C4C2212yescomplemented
257#2337C2214yes—
258#2335C2214yes—
259#2334C2214yescomplemented
260#2334C2214yescomplemented
261#2327C2212yescomplemented
262#2327C2212yescomplemented
263#2323C2212yes—
264#2323C2212yes—
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2316C2211yescharacteristic
268#2311C2214yes—
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2310C2211yescharacteristic
274#2310C2211yescharacteristic
275#2310C2211yescharacteristic
276C4×C4⋊Q8C2212yescomplemented
277C4×C4⋊Q8C2212yescomplemented
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×#123C2212yes—
283C4×#123C2212yes—
284#2297C2211yescharacteristic
285#2297C2214yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#389C2212yes—
291C2×#389C2211yescharacteristic
292C2×#388C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311C24×C4C2311yescharacteristic
312#536—44no—
313#536—44no—
314#533—44no—
315C2×C4⋊Q8—28no—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332#525—44no—
333#525—44no—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×C22⋊Q8—28no—
341C2×C22⋊Q8—44no—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#120C2312yes—
365C2×#120C2312yes—
366#519—44no—
367#519—44no—
368C2×C4×Q8—44no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×#117—44no—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2314yes—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2312yes—
418C22×C42C2312yes—
419#401C2314yes—
420#401C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#399C2314yes—
442#399C2312yes—
443#399C2314yes—
444#399C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#394C2314yes—
521#393C2314yes—
522#393C2312yes—
523#393C2314yes—
524#393C2314yes—
525#393C2312yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#392C2314yes—
530#392C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2314yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2314yes—
562#391C2314yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
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#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#383C2314yes—
732#383C2314yes—
733#382C2312yes—
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2312yes—
742#382C2312yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2312yes—
747#381C2312yes—
748#381C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#379C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C43C2312yes—
825C25C2411yescharacteristic
8262−1+4—464no—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—216no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—48no—
837C2×#41—48no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C2×#41—44no—
842C22×Q8—28no—
843C22×Q8—28no—
844C22×Q8—24no—
845C22×Q8—24no—
846C22×Q8—24no—
847C22×Q8—24no—
848C22×Q8—24no—
849C22×Q8—44no—
850C22×Q8—44no—
851C22×Q8—44no—
852C22×Q8—44no—
853C22×Q8#4118yes—
854C22×Q8C2412yes—
855C22×Q8C2412yes—
856C22×Q8C2411yescharacteristic
857C22×Q8C2411yescharacteristic
858C22×Q8C2412yes—
859C22×Q8C2412yes—
860C22×Q8C2412yes—
861C22×Q8C2414yes—
862C22×Q8C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C23×C4—24no—
873C23×C4—24no—
874C23×C4—24no—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—28no—
899C4⋊Q8—42no—
900C4⋊Q8—42no—
901C4⋊Q8—44no—
902C4⋊Q8—44no—
903#126—48no—
904#126—48no—
905#125—42no—
906#125—42no—
907#124—28no—
908#124—44no—
909#124—44no—
910#124—44no—
911#123—28no—
912#123—44no—
913#123—44no—
914#123—44no—
915#123—48no—
916#123—48no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935#121—42no—
936#121—42no—
937#121—42no—
938#121—42no—
939#120—44no—
940#120—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959#117—24no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—24no—
964#117—24no—
965#117—44no—
966#117—44no—
967#117—48no—
968#117—48no—
969#117—42no—
970#117—42no—
971C2×C4⋊C4—28no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—28no—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—42no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C22⋊C4—28no—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4—42no—
1046C2×C22⋊C4—44no—
1047C2×C22⋊C4—44no—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42—44no—
1111C2×C42—44no—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—22no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24C2511yescharacteristic
1222C24C2512yes—
1223C24C2512yes—
1224C24C2511yescharacteristic
1225C24C2511yescharacteristic
1226#41—464no—
1227#41—432no—
1228#41—432no—
1229#41—416no—
1230#41—416no—
1231C2×Q8—232no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—28no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—24no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8—432no—
1258C2×Q8—432no—
1259C2×Q8—416no—
1260C2×Q8C2×#4118yes—
1261C2×Q8C2×#4118yes—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—28no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—42no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—41no—
1345C22×C4—416no—
1346C22×C4C2×#4118yes—
1347C22×C4C2×#4114yes—
1348C22×C4H(5,𝔽2)14yes—
1349C22×C4H(5,𝔽2)14yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2514yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2514yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2514yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2514yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—24no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C42−1+414yescomplemented
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—24no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—42no—
1519C42—42no—
1520C42—44no—
1521C42—44no—
1522C42—42no—
1523C42—42no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—44no—
1528C42—44no—
1529C42—44no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—21no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—22no—
1553C23—22no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—21no—
1561C23—44no—
1562C23—44no—
1563C23—44no—
1564C23—44no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23C22×#4112yes—
1569C23C2×H(5,𝔽2)12yes—
1570C23C2×H(5,𝔽2)12yes—
1571C23C2×2−1+412yes—
1572C23C2611yescharacteristic
1573Q8—216no—
1574Q8—216no—
1575Q8—416no—
1576Q8—48no—
1577Q8—48no—
1578Q8—44no—
1579Q8—44no—
1580Q8—84no—
1581Q8—84no—
1582D4—416no—
1583D4—48no—
1584D4—48no—
1585D4—44no—
1586D4—44no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—216no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—416no—
1676C2×C4—416no—
1677C2×C4—48no—
1678C2×C4—44no—
1679C2×C4—48no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—82no—
1689C2×C4—84no—
1690C2×C4#538116yes—
1691C2×C4C22×#4118yes—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4112yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C2×C4#58512yes—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—42no—
1715C22—42no—
1716C22—41no—
1717C22—42no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—41no—
1723C22—41no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—41no—
1732C22—42no—
1733C22—42no—
1734C22—41no—
1735C22—88no—
1736C22C2×#53814yes—
1737C22C23×#4111yescharacteristic
1738C22C22×H(5,𝔽2)11yescharacteristic
1739C22C22×H(5,𝔽2)11yescharacteristic
1740C22C22×2−1+411yescharacteristic
1741C22C2×#58511yescharacteristic
1742C222−1+611yescharacteristic
1743C222−1+611yescharacteristic
1744C4—22no—
1745C4—22no—
1746C4—28no—
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—44no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—44no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—41no—
1765C4—41no—
1766C4—42no—
1767C4—42no—
1768C4—44no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4C2×#53814yes—
1773C4C2×#53814yes—
1774C2—24no—
1775C2—42no—
1776C2—82no—
1777C2—82no—
1778C2—81no—
1779C2C22×#53811yescharacteristic
1780C2#6283511yescharacteristic
1781C2#6288811yescharacteristic
1782C2#6292511yescharacteristic
1783C2#6294211yescharacteristic
1784C2#6299811yescharacteristic
1785C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35659C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42900C2semidirect
2. #42866C2semidirect
3. #42860C2semidirect
4. #42858C2semidirect
5. #42851C2semidirect
6. #42844C2semidirect
7. #42835C2semidirect
8. #42828C2semidirect
9. #42191C2semidirect
10. #42012C2semidirect
11. #40218C2semidirect
12. #40214C2semidirect
13. #40190C2semidirect
14. #40100C2semidirect
15. #39783C2semidirect
16. #39659C2semidirect
17. #39654C2semidirect
18. #39215C2semidirect
19. #38468C2semidirect
20. #38467C2semidirect
21. #35673C2semidirect
22. #35666C2semidirect
23. #35661C2semidirect
25. #35628C2semidirect
26. #35545C2semidirect
27. #35306C2semidirect
28. #35267C2semidirect
29. #35179C2semidirect
30. #34813C2semidirect
31. #34810C2semidirect
32. C2×#2429C2semidirect
33. #34257C2semidirect
34. #34209C2semidirect
35. #34203C2semidirect
49. #2863C22semidirect
50. #2860C22semidirect
54. #2833C22semidirect
56. #2830C22semidirect
58. #2808C22semidirect
59. #2806C22semidirect
60. #2805C22semidirect
63. #2800C22semidirect
64. #2800C22semidirect
67. #2788C22semidirect
68. #2788C22semidirect
69. #2787C22semidirect
70. #2787C22semidirect
77. #2774C22semidirect
78. #2774C22semidirect
79. #2770C22semidirect
80. #2770C22semidirect
81. #2768C22semidirect
82. #2768C22semidirect
86. #2727C22semidirect
90. #2666C22semidirect
91. #2666C22semidirect
95. #2652C22semidirect
96. #2652C22semidirect
97. #2651C22semidirect
98. #2651C22semidirect
102. #2645C22semidirect
103. #2644C22semidirect
109. #2593C22semidirect
110. #2592C22semidirect
111. #2592C22semidirect
112. #2589C22semidirect
113. #2589C22semidirect
114. #2587C22semidirect
115. #2587C22semidirect
116. #2586C22semidirect
117. #2582C22semidirect
118. #2582C22semidirect
119. #2581C22semidirect
120. #2581C22semidirect
124. #2568C22semidirect
125. #2568C22semidirect
126. #2568C22semidirect
127. #2567C22semidirect
128. #2565C22semidirect
129. #2565C22semidirect
135. #2514C22semidirect
136. #2513C22semidirect
137. #2512C22semidirect
138. #2511C22semidirect
153. #2497C22semidirect
154. #2497C22semidirect
155. #2496C22semidirect
156. #2496C22semidirect
157. #2495C22semidirect
158. #2495C22semidirect
159. #2494C22semidirect
160. #2494C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
171. #2489C22semidirect
172. #2489C22semidirect
181. #2448C22semidirect
182. #2448C22semidirect
183. #2446C22semidirect
184. #2446C22semidirect
185. #2434C22semidirect
186. #2434C22semidirect
187. #2434C22semidirect
188. #2434C22semidirect
189. #2432C22semidirect
190. #2432C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
207. #2421C22semidirect
208. #2421C22semidirect
237. #2365C22semidirect
238. #2365C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
249. #2341C22semidirect
250. #2341C22semidirect
251. #2341C22semidirect
252. #2341C22semidirect
253. Q8×C22⋊C4C22semidirect
254. Q8×C22⋊C4C22semidirect
255. Q8×C22⋊C4C22semidirect
256. Q8×C22⋊C4C22semidirect
259. #2334C22semidirect
260. #2334C22semidirect
261. #2327C22semidirect
262. #2327C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
1501. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#429002
#428662
#428602
#428582
#428512
#428442
#428352
#428282
#421912
#420122
#402182
#402142
#401902
#401002
#397832
#396592
#396542
#392152
#384682
#384672
#356732
#356662
#356612
#356592
#356282
#355452
#353062
#352672
#351792
#348132
#348102
C2×#24292
#342572
#342092
#342032