Finite Group Databasebeta

← #8095276

Subgroups — #8095276

Order 512.

4815 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53148C212yesmaximal, complemented
2#53140C212yesmaximal, complemented
3#53130C212yesmaximal, complemented
4#53097C212yesmaximal, complemented
5#53054C212yesmaximal, complemented
6#53027C212yesmaximal, complemented
7#52982C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#52740C214yesmaximal, complemented
10#52412C214yesmaximal, complemented
11#46098C214yesmaximal, complemented
12#46030C214yesmaximal, complemented
13#45714C212yesmaximal, complemented
14#45675C212yesmaximal, complemented
15#45656C212yesmaximal, complemented
16#45631C212yesmaximal, complemented
17#45594C212yesmaximal, complemented
18#45519C212yesmaximal, complemented
19#45500C212yesmaximal, complemented
20#45498C212yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35662C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35574C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35307C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35279C211yesmaximal, characteristic, complemented
30#35263C211yesmaximal, characteristic, complemented
31#35180C211yesmaximal, characteristic, complemented
32#35159C211yesmaximal, characteristic, complemented
33C2×#2492C211yesmaximal, characteristic, complemented
34#34743C211yesmaximal, characteristic
35#34739C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2857C2212yes—
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2855C2212yes—
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yes—
55#2851C2214yes—
56#2850C2214yes—
57#2850C2212yes—
58#2841C2214yes—
59#2841C2214yescomplemented
60#2839C2214yescomplemented
61#2839C2214yescomplemented
62#2837C2214yescomplemented
63#2836C2214yescomplemented
64#2836C2214yescomplemented
65#2832C2214yes—
66#2832C2214yes—
67#2831C2214yes—
68#2831C2214yes—
69#2831C2214yescomplemented
70#2831C2214yescomplemented
71#2831C2214yescomplemented
72#2830C2214yes—
73#2829C2214yes—
74#2827C2214yescomplemented
75#2824C2214yes—
76#2816C2214yes—
77#2814C2214yes—
78#2808C2214yescomplemented
79#2806C2214yescomplemented
80#2806C2214yescomplemented
81#2802C2214yescomplemented
82#2802C2214yescomplemented
83#2800C2214yes—
84#2798C2214yes—
85#2798C2214yescomplemented
86#2788C2214yes—
87#2788C2214yescomplemented
88#2781C2214yes—
89#2781C2214yes—
90#2779C2214yescomplemented
91#2772C2214yes—
92#2768C2214yes—
93#2755C2214yescomplemented
94#2755C2214yescomplemented
95#2754C2214yescomplemented
96#2754C2214yescomplemented
97#2751C2214yes—
98#2750C2214yes—
99#2747C2214yescomplemented
100#2743C2214yescomplemented
101#2741C2214yes—
102#2740C2214yes—
103#2739C2214yescomplemented
104#2732C2214yescomplemented
105#2710C2214yes—
106#2704C2214yescomplemented
107#2704C2214yescomplemented
108#2700C2214yescomplemented
109#2700C2214yescomplemented
110#2696C2214yes—
111#2694C2214yes—
112#2694C2214yes—
113#2692C2214yes—
114#2692C2214yes—
115#2687C2214yes—
116#2681C2214yes—
117#2672C2214yes—
118#2646C2214yes—
119#2639C2214yes—
120#2628C2212yescomplemented
121#2628C2212yescomplemented
122#2625C2212yes—
123#2625C2212yescomplemented
124#2625C2212yescomplemented
125#2624C2212yes—
126#2621C2212yes—
127#2620C2212yes—
128#2592C2212yescomplemented
129#2592C2212yescomplemented
130#2582C2212yescomplemented
131#2582C2212yescomplemented
132#2581C2212yescomplemented
133#2581C2212yescomplemented
134#2579C2214yes—
135#2568C2212yescomplemented
136#2568C2212yescomplemented
137#2567C2212yescomplemented
138#2563C2212yescomplemented
139#2563C2212yescomplemented
140#2562C2212yescomplemented
141#2562C2212yescomplemented
142#2548C2212yescomplemented
143#2547C2212yescomplemented
144#2547C2212yescomplemented
145#2546C2212yescomplemented
146#2545C2212yescomplemented
147#2544C2212yescomplemented
148#2542C2212yescomplemented
149#2538C2212yes—
150#2538C2212yes—
151#2536C2212yes—
152#2536C2212yes—
153#2509C2212yescomplemented
154#2509C2212yescomplemented
155#2508C2212yescomplemented
156#2508C2212yescomplemented
157#2507C2212yescomplemented
158#2507C2212yescomplemented
159#2506C2212yescomplemented
160#2506C2212yescomplemented
161#2498C2214yes—
162#2498C2214yes—
163#2498C2214yes—
164#2492C2212yes—
165#2492C2212yes—
166#2492C2212yes—
167#2492C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2492C2212yes—
171#2492C2212yes—
172#2487C2214yes—
173#2487C2212yes—
174#2487C2212yes—
175#2486C2212yes—
176#2486C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2453C2212yescomplemented
182#2453C2212yescomplemented
183#2452C2212yescomplemented
184#2452C2212yescomplemented
185#2451C2212yescomplemented
186#2451C2212yescomplemented
187#2451C2212yescomplemented
188#2451C2212yescomplemented
189#2448C2212yescomplemented
190#2448C2212yescomplemented
191#2447C2212yescomplemented
192#2447C2212yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2446C2212yescomplemented
196#2446C2212yescomplemented
197#2442C2211yescharacteristic
198#2442C2211yescharacteristic
199#2441C2211yescharacteristic
200#2441C2211yescharacteristic
201#2440C2211yescharacteristic
202#2440C2211yescharacteristic
203#2440C2212yescomplemented
204#2440C2212yescomplemented
205#2439C2211yescharacteristic
206#2439C2211yescharacteristic
207#2439C2212yescomplemented
208#2439C2212yescomplemented
209#2438C2212yes—
210#2438C2214yes—
211#2438C2212yes—
212#2438C2214yes—
213#2437C2212yes—
214#2437C2212yes—
215#2429C2212yes—
216#2429C2212yes—
217#2429C2211yescharacteristic
218#2429C2211yescharacteristic
219#2428C2211yescharacteristic
220#2428C2211yescharacteristic
221#2427C2211yescharacteristic
222#2427C2211yescharacteristic
223#2426C2212yes—
224#2426C2212yes—
225#2426C2211yescharacteristic
226#2426C2211yescharacteristic
227#2425C2212yes—
228#2425C2214yes—
229#2425C2212yes—
230#2425C2214yes—
231#2424C2212yes—
232#2424C2212yes—
233#2423C2212yes—
234#2423C2212yescomplemented
235#2423C2212yescomplemented
236#2422C2212yes—
237#2421C2212yes—
238#2421C2212yescomplemented
239#2421C2212yescomplemented
240#2420C2212yes—
241#2419C2214yes—
242#2419C2214yes—
243#2419C2214yes—
244#2418C2214yes—
245#2417C2212yes—
246#2417C2212yes—
247#2417C2212yescomplemented
248#2417C2212yescomplemented
249#2415C2212yes—
250#2415C2212yes—
251#2415C2212yescomplemented
252#2415C2212yescomplemented
253#2413C2214yes—
254#2413C2214yes—
255#2412C2214yes—
256#2412C2214yes—
257#2411C2214yes—
258#2409C2214yes—
259#2409C2214yes—
260#2396C2212yes—
261#2396C2212yes—
262C2×#400C2212yes—
263#2392C2212yes—
264#2392C2212yes—
265C2×#393C2212yes—
266#2378C2214yes—
267#2378C2214yescomplemented
268#2378C2214yescomplemented
269#2377C2214yes—
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2310C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2212yes—
291C2×#391C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#388C2212yes—
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×Q8C2312yes—
303C24×C4C2311yescharacteristic
304#536—44no—
305#536—44no—
306#533—44no—
307#532—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327#525—44no—
328#525—44no—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8—44no—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#120C2312yes—
365C2×#120C2312yes—
366#520—44no—
367#519—44no—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×#117—44no—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2314yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420C22×C42C2312yes—
421C22×C42C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2312yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2312yes—
479#398C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2312yes—
499#397C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2312yes—
507#396C2312yes—
508#396C2314yes—
509#396C2312yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#396C2312yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2312yes—
525#395C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2312yes—
555#393C2314yes—
556#392C2312yes—
557#392C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2314yes—
568#391C2314yes—
569#391C2314yes—
570#391C2312yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2312yes—
575#391C2312yes—
576#391C2314yes—
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2314yes—
587#391C2314yes—
588#391C2312yes—
589#391C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2312yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#382C2312yes—
744#382C2312yes—
745#382C2314yes—
746#382C2312yes—
747#382C2314yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#379C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—82no—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×Q8C2414yes—
841C22×Q8C2412yes—
842C22×Q8C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C23×C4—24no—
854C23×C4—24no—
855C23×C4—24no—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2411yescharacteristic
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—42no—
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886#127—42no—
887#125—42no—
888#125—42no—
889#125—84no—
890#124—42no—
891#124—42no—
892#124—44no—
893#124—44no—
894#124—84no—
895#123—44no—
896#123—44no—
897#123—48no—
898#123—48no—
899#123—84no—
900#123—84no—
901C22⋊Q8—28no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—48no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—48no—
911C22⋊Q8—42no—
912C22⋊Q8—42no—
913C22⋊Q8—42no—
914C22⋊Q8—42no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—84no—
920C22⋊Q8—84no—
921#121—28no—
922#121—44no—
923#121—42no—
924#121—42no—
925#121—42no—
926#121—42no—
927#121—44no—
928#121—44no—
929#120—44no—
930#120—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—42no—
934C4×Q8—42no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952#117—24no—
953#117—24no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—24no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—48no—
962#117—42no—
963#117—42no—
964#117—44no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4—42no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C22⋊C4—24no—
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4—44no—
1049C2×C22⋊C4—44no—
1050C2×C22⋊C4—82no—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
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×C42—82no—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—22no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C2511yescharacteristic
1214C24C2512yes—
1215C24C2512yes—
1216C24C2511yescharacteristic
1217C24C2511yescharacteristic
1218#41—416no—
1219#41—416no—
1220C2×Q8—24no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—28no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—42no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×Q8—42no—
1244C2×Q8—416no—
1245C2×Q8—816no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—41no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—42no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—41no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—416no—
1337C22×C4H(5,𝔽2)14yes—
1338C22×C4H(5,𝔽2)14yes—
1339C22×C42−1+414yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—24no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—24no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
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—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C42−1+414yes—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—42no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—21no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23C2×H(5,𝔽2)12yes—
1562C23C2×H(5,𝔽2)12yes—
1563C23C2×2−1+412yes—
1564C23C2×2−1+412yes—
1565C23C2611yescharacteristic
1566Q8—48no—
1567Q8—48no—
1568Q8—44no—
1569Q8—44no—
1570Q8—84no—
1571Q8—88no—
1572Q8—84no—
1573Q8—88no—
1574D4—48no—
1575D4—48no—
1576D4—44no—
1577D4—44no—
1578D4—84no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582D4—84no—
1583D4—84no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—48no—
1676C2×C4—48no—
1677C2×C4—84no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—82no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—164no—
1685C2×C4#562116yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4C2×2−1+412yes—
1692C2×C4C2×2−1+412yes—
1693C2×C4C2×2−1+412yes—
1694C2×C4#58512yes—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—42no—
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—42no—
1727C22—41no—
1728C22—42no—
1729C22—88no—
1730C22C2×#56214yes—
1731C22C22×H(5,𝔽2)11yescharacteristic
1732C22C22×H(5,𝔽2)11yescharacteristic
1733C22C22×2−1+411yescharacteristic
1734C22C22×2−1+411yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22H(7,𝔽2)11yescharacteristic
1737C222−1+611yescharacteristic
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—44no—
1742C4—44no—
1743C4—41no—
1744C4—44no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—44no—
1760C4—42no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4C2×#56214yes—
1767C4C2×#56214yes—
1768C2—24no—
1769C2—42no—
1770C2—82no—
1771C2—82no—
1772C2—81no—
1773C2C22×#56211yescharacteristic
1774C2#6283711yescharacteristic
1775C2#6287911yescharacteristic
1776C2#6292411yescharacteristic
1777C2#6294211yescharacteristic
1778C2#6294411yescharacteristic
1779C2#6296011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34743C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53148C2semidirect
2. #53140C2semidirect
3. #53130C2semidirect
4. #53097C2semidirect
5. #53054C2semidirect
6. #53027C2semidirect
7. #52982C2semidirect
8. #52964C2semidirect
9. #52740C2semidirect
10. #52412C2semidirect
11. #46098C2semidirect
12. #46030C2semidirect
13. #45714C2semidirect
14. #45675C2semidirect
15. #45656C2semidirect
16. #45631C2semidirect
17. #45594C2semidirect
18. #45519C2semidirect
19. #45500C2semidirect
20. #45498C2semidirect
21. #35673C2semidirect
22. #35662C2semidirect
23. #35661C2semidirect
24. #35621C2semidirect
25. #35574C2semidirect
26. #35516C2semidirect
27. #35307C2semidirect
28. #35306C2semidirect
29. #35279C2semidirect
30. #35263C2semidirect
31. #35180C2semidirect
32. #35159C2semidirect
33. C2×#2492C2semidirect
35. #34739C2semidirect
49. #2857C22semidirect
50. #2857C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
59. #2841C22semidirect
60. #2839C22semidirect
61. #2839C22semidirect
62. #2837C22semidirect
63. #2836C22semidirect
64. #2836C22semidirect
69. #2831C22semidirect
70. #2831C22semidirect
71. #2831C22semidirect
74. #2827C22semidirect
78. #2808C22semidirect
79. #2806C22semidirect
80. #2806C22semidirect
81. #2802C22semidirect
82. #2802C22semidirect
85. #2798C22semidirect
87. #2788C22semidirect
90. #2779C22semidirect
93. #2755C22semidirect
94. #2755C22semidirect
95. #2754C22semidirect
96. #2754C22semidirect
99. #2747C22semidirect
100. #2743C22semidirect
103. #2739C22semidirect
104. #2732C22semidirect
106. #2704C22semidirect
107. #2704C22semidirect
108. #2700C22semidirect
109. #2700C22semidirect
120. #2628C22semidirect
121. #2628C22semidirect
123. #2625C22semidirect
124. #2625C22semidirect
128. #2592C22semidirect
129. #2592C22semidirect
130. #2582C22semidirect
131. #2582C22semidirect
132. #2581C22semidirect
133. #2581C22semidirect
135. #2568C22semidirect
136. #2568C22semidirect
137. #2567C22semidirect
138. #2563C22semidirect
139. #2563C22semidirect
140. #2562C22semidirect
141. #2562C22semidirect
142. #2548C22semidirect
143. #2547C22semidirect
144. #2547C22semidirect
145. #2546C22semidirect
146. #2545C22semidirect
147. #2544C22semidirect
148. #2542C22semidirect
153. #2509C22semidirect
154. #2509C22semidirect
155. #2508C22semidirect
156. #2508C22semidirect
157. #2507C22semidirect
158. #2507C22semidirect
159. #2506C22semidirect
160. #2506C22semidirect
181. #2453C22semidirect
182. #2453C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
189. #2448C22semidirect
190. #2448C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
195. #2446C22semidirect
196. #2446C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
207. #2439C22semidirect
208. #2439C22semidirect
234. #2423C22semidirect
235. #2423C22semidirect
238. #2421C22semidirect
239. #2421C22semidirect
247. #2417C22semidirect
248. #2417C22semidirect
251. #2415C22semidirect
252. #2415C22semidirect
267. #2378C22semidirect
268. #2378C22semidirect

Maximal subgroups

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

subgroupindex
#531482
#531402
#531302
#530972
#530542
#530272
#529822
#529642
#527402
#524122
#460982
#460302
#457142
#456752
#456562
#456312
#455942
#455192
#455002
#454982
#356732
#356622
#356612
#356212
#355742
#355162
#353072
#353062
#352792
#352632
#351802
#351592
C2×#24922
#347432
#347392