Finite Group Databasebeta

← #8095334

Subgroups — #8095334

Order 512.

4783 conjugacy classes of subgroups.

The subgroup lattice has 1779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53149C212yesmaximal, complemented
2#53141C212yesmaximal, complemented
3#53122C212yesmaximal, complemented
4#53108C212yesmaximal, complemented
5#53052C212yesmaximal, complemented
6#53021C212yesmaximal, complemented
7#53019C212yesmaximal, complemented
8#53013C212yesmaximal, complemented
9#52550C214yesmaximal, complemented
10#52547C214yesmaximal, complemented
11#45703C212yesmaximal, complemented
12#45675C212yesmaximal, complemented
13#45656C212yesmaximal, complemented
14#45639C212yesmaximal, complemented
15#45631C212yesmaximal, complemented
16#45581C214yesmaximal, complemented
17#45548C214yesmaximal, complemented
18#45519C212yesmaximal, complemented
19#45500C212yesmaximal, complemented
20#45498C212yesmaximal, complemented
21#35633C211yesmaximal, characteristic, complemented
22#35628C211yesmaximal, characteristic, complemented
23#35585C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35532C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35307C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35280C211yesmaximal, characteristic, complemented
30#35263C211yesmaximal, characteristic, complemented
31#35178C211yesmaximal, characteristic, complemented
32#35154C211yesmaximal, characteristic, complemented
33#34743C211yesmaximal, characteristic
34#34739C211yesmaximal, characteristic, complemented
35C2×#2423C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2857C2212yes—
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2855C2214yes—
52#2855C2212yes—
53#2855C2212yescomplemented
54#2855C2212yescomplemented
55#2854C2214yes—
56#2854C2212yes—
57#2850C2212yes—
58#2845C2214yescomplemented
59#2841C2214yes—
60#2841C2214yescomplemented
61#2839C2214yescomplemented
62#2837C2214yes—
63#2837C2214yes—
64#2837C2214yescomplemented
65#2836C2214yes—
66#2836C2214yes—
67#2836C2214yescomplemented
68#2836C2214yescomplemented
69#2836C2214yescomplemented
70#2831C2214yescomplemented
71#2831C2214yescomplemented
72#2829C2214yes—
73#2827C2214yes—
74#2826C2214yes—
75#2820C2214yes—
76#2816C2214yes—
77#2814C2214yescomplemented
78#2806C2214yescomplemented
79#2802C2214yescomplemented
80#2802C2214yescomplemented
81#2802C2214yescomplemented
82#2800C2214yes—
83#2800C2214yescomplemented
84#2798C2214yescomplemented
85#2788C2214yes—
86#2786C2214yescomplemented
87#2783C2214yes—
88#2783C2214yescomplemented
89#2781C2214yescomplemented
90#2779C2214yes—
91#2779C2214yes—
92#2772C2214yescomplemented
93#2768C2214yes—
94#2768C2214yescomplemented
95#2761C2214yes—
96#2755C2214yescomplemented
97#2755C2214yescomplemented
98#2754C2214yes—
99#2751C2214yes—
100#2747C2214yescomplemented
101#2744C2214yescomplemented
102#2743C2214yes—
103#2741C2214yes—
104#2740C2214yescomplemented
105#2732C2214yes—
106#2730C2214yes—
107#2706C2214yes—
108#2704C2214yescomplemented
109#2704C2214yescomplemented
110#2700C2214yes—
111#2694C2214yes—
112#2692C2214yes—
113#2692C2214yescomplemented
114#2687C2214yes—
115#2687C2214yescomplemented
116#2681C2214yes—
117#2672C2214yes—
118#2629C2212yescomplemented
119#2629C2212yescomplemented
120#2627C2214yes—
121#2625C2212yes—
122#2625C2212yescomplemented
123#2625C2212yescomplemented
124#2624C2212yes—
125#2621C2212yes—
126#2620C2212yes—
127#2618C2214yes—
128#2592C2212yescomplemented
129#2592C2212yescomplemented
130#2582C2212yescomplemented
131#2582C2212yescomplemented
132#2569C2214yes—
133#2568C2212yescomplemented
134#2568C2212yescomplemented
135#2567C2212yescomplemented
136#2566C2212yescomplemented
137#2565C2212yescomplemented
138#2563C2212yes—
139#2562C2212yes—
140#2562C2212yes—
141#2548C2212yescomplemented
142#2547C2212yes—
143#2546C2212yescomplemented
144#2545C2212yescomplemented
145#2545C2212yescomplemented
146#2542C2212yescomplemented
147#2538C2212yescomplemented
148#2538C2212yescomplemented
149#2538C2212yescomplemented
150#2538C2212yescomplemented
151#2536C2212yescomplemented
152#2536C2212yescomplemented
153#2534C2214yes—
154#2509C2212yescomplemented
155#2509C2212yescomplemented
156#2508C2212yescomplemented
157#2508C2212yescomplemented
158#2507C2212yescomplemented
159#2507C2212yescomplemented
160#2506C2212yescomplemented
161#2506C2212yescomplemented
162#2498C2214yes—
163#2492C2212yes—
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2212yes—
167#2490C2212yes—
168#2489C2212yes—
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2488C2214yes—
172#2488C2214yes—
173#2488C2214yes—
174#2487C2212yes—
175#2487C2212yescomplemented
176#2486C2214yes—
177#2486C2212yes—
178#2486C2212yescomplemented
179#2485C2212yes—
180#2485C2212yes—
181#2485C2212yescomplemented
182#2485C2212yescomplemented
183#2472C2214yes—
184#2453C2212yescomplemented
185#2453C2212yescomplemented
186#2453C2212yescomplemented
187#2453C2212yescomplemented
188#2451C2212yescomplemented
189#2451C2212yescomplemented
190#2451C2212yescomplemented
191#2451C2212yescomplemented
192#2449C2214yes—
193#2449C2214yes—
194#2448C2212yescomplemented
195#2447C2212yescomplemented
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2446C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2212yescomplemented
201#2445C2212yescomplemented
202#2444C2214yes—
203#2443C2214yes—
204#2442C2214yes—
205#2442C2211yescharacteristic
206#2442C2211yescharacteristic
207#2441C2211yescharacteristic
208#2441C2211yescharacteristic
209#2441C2212yescomplemented
210#2441C2212yescomplemented
211#2440C2211yescharacteristic
212#2440C2211yescharacteristic
213#2440C2212yescomplemented
214#2440C2212yescomplemented
215#2439C2211yescharacteristic
216#2439C2211yescharacteristic
217#2438C2212yes—
218#2438C2212yes—
219#2437C2212yes—
220#2437C2212yes—
221#2429C2211yescharacteristic
222#2429C2212yes—
223#2429C2212yes—
224#2429C2211yescharacteristic
225#2428C2211yescharacteristic
226#2428C2211yescharacteristic
227#2427C2211yescharacteristic
228#2427C2212yes—
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2426C2211yescharacteristic
232#2426C2211yescharacteristic
233#2425C2212yes—
234#2425C2212yes—
235#2424C2212yes—
236#2424C2212yes—
237#2423C2212yes—
238#2423C2212yes—
239#2423C2212yes—
240#2423C2212yes—
241#2423C2212yes—
242#2423C2212yes—
243#2423C2212yes—
244#2423C2212yes—
245#2419C2214yes—
246#2419C2214yes—
247#2417C2214yes—
248#2417C2212yes—
249#2417C2212yes—
250#2417C2212yes—
251#2417C2214yes—
252#2417C2212yes—
253#2415C2212yes—
254#2415C2212yes—
255#2415C2212yes—
256#2415C2212yes—
257#2413C2214yes—
258#2412C2214yes—
259#2412C2214yes—
260#2396C2212yes—
261#2396C2212yes—
262C2×#399C2212yes—
263#2392C2212yes—
264#2392C2212yes—
265C2×#398C2212yes—
266#2378C2214yes—
267#2378C2214yescomplemented
268#2378C2214yescomplemented
269#2377C2214yes—
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2316C2211yescharacteristic
273#2316C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2310C2211yescharacteristic
280#2310C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#388C2212yes—
292C2×#387C2212yes—
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#544—44no—
304#536—44no—
305#536—44no—
306#533—44no—
307#532—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2314yes—
326#525—44no—
327#525—44no—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8—44no—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
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×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#120C2312yes—
365C2×#120C2312yes—
366#520—44no—
367C4×#41—44no—
368C2×C4×Q8—44no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2314yes—
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×#117C2312yes—
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2312yes—
422C22×C42C2312yes—
423C22×C42C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2312yes—
449#399C2314yes—
450#399C2312yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2312yes—
480#398C2314yes—
481#398C2312yes—
482#398C2312yes—
483#398C2314yes—
484#398C2312yes—
485#398C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#396C2312yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2312yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2312yes—
518#396C2312yes—
519#396C2312yes—
520#396C2312yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2312yes—
526#396C2314yes—
527#396C2312yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2312yes—
532#395C2314yes—
533#395C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#394C2312yes—
552#393C2312yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2312yes—
558#392C2312yes—
559#392C2312yes—
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2312yes—
577#391C2314yes—
578#391C2314yes—
579#391C2314yes—
580#391C2314yes—
581#391C2314yes—
582#391C2314yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2314yes—
587#391C2312yes—
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
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#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2314yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2312yes—
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#387C2314yes—
687#387C2312yes—
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#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#382C2314yes—
744#382C2314yes—
745#382C2312yes—
746#382C2314yes—
747#382C2314yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2311yescharacteristic
788#380C2314yes—
789#380C2312yes—
790#379C2312yes—
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×C4⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
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×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4—24no—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2411yescharacteristic
873C4⋊Q8—42no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—42no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880#127—42no—
881#125—42no—
882#125—42no—
883#125—44no—
884#125—44no—
885#125—84no—
886#124—42no—
887#124—42no—
888#124—44no—
889#124—44no—
890#124—84no—
891#123—44no—
892#123—44no—
893#123—48no—
894#123—48no—
895#123—84no—
896#123—84no—
897C22⋊Q8—28no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—48no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911C22⋊Q8—42no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—84no—
917C22⋊Q8—84no—
918#121—28no—
919#121—44no—
920#121—42no—
921#121—42no—
922#121—42no—
923#121—42no—
924#121—44no—
925#121—44no—
926#120—44no—
927#120—44no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—42no—
935C4×Q8—42no—
936C4×Q8—44no—
937C4×D4—42no—
938C4×D4—42no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949#117—24no—
950#117—24no—
951#117—24no—
952#117—24no—
953#117—24no—
954#117—24no—
955#117—44no—
956#117—44no—
957#117—44no—
958#117—42no—
959#117—42no—
960#117—44no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4—42no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—82no—
971C2×C4⋊C4—82no—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C22⋊C4—24no—
1049C2×C22⋊C4—42no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—82no—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C42—24no—
1111C2×C42—24no—
1112C2×C42—44no—
1113C2×C42—44no—
1114C2×C42—44no—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
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—24no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—416no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
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—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—416no—
1333C22×C4H(5,𝔽2)14yes—
1334C22×C4H(5,𝔽2)14yes—
1335C22×C42−1+414yes—
1336C22×C4C2514yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
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—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
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—44no—
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—44no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
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—22no—
1451C22⋊C4—22no—
1452C22⋊C4—24no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—24no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
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—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C42−1+414yes—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—24no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—44no—
1518C42—44no—
1519C42—44no—
1520C42—44no—
1521C42—44no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23C2×H(5,𝔽2)12yes—
1561C23C2×H(5,𝔽2)12yes—
1562C23C2×2−1+412yes—
1563C23C2×2−1+412yes—
1564C23C2611yescharacteristic
1565Q8—48no—
1566Q8—48no—
1567Q8—44no—
1568Q8—44no—
1569Q8—84no—
1570Q8—84no—
1571Q8—164no—
1572D4—48no—
1573D4—48no—
1574D4—44no—
1575D4—44no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582C2×C4—21no—
1583C2×C4—21no—
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—22no—
1594C2×C4—22no—
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—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—48no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—48no—
1673C2×C4—48no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—82no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—84no—
1682C2×C4—164no—
1683C2×C4#562116yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×2−1+412yes—
1689C2×C4C2×2−1+412yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4C2×2−1+412yes—
1692C2×C4#58512yes—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—42no—
1713C22—41no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—42no—
1720C22—41no—
1721C22—41no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—88no—
1728C22C2×#56214yes—
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C22×H(5,𝔽2)11yescharacteristic
1731C22C22×2−1+411yescharacteristic
1732C22C22×2−1+411yescharacteristic
1733C22C2×#58511yescharacteristic
1734C22H(7,𝔽2)11yescharacteristic
1735C222−1+611yescharacteristic
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—44no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—44no—
1758C4—41no—
1759C4—44no—
1760C4—41no—
1761C4—44no—
1762C4—42no—
1763C4—42no—
1764C4C2×#56214yes—
1765C4C2×#56214yes—
1766C2—24no—
1767C2—42no—
1768C2—82no—
1769C2—82no—
1770C2—81no—
1771C2C22×#56211yescharacteristic
1772C2#6283711yescharacteristic
1773C2#6287911yescharacteristic
1774C2#6292711yescharacteristic
1775C2#6294211yescharacteristic
1776C2#6294411yescharacteristic
1777C2#6295511yescharacteristic
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. #53149C2semidirect
2. #53141C2semidirect
3. #53122C2semidirect
4. #53108C2semidirect
5. #53052C2semidirect
6. #53021C2semidirect
7. #53019C2semidirect
8. #53013C2semidirect
9. #52550C2semidirect
10. #52547C2semidirect
11. #45703C2semidirect
12. #45675C2semidirect
13. #45656C2semidirect
14. #45639C2semidirect
15. #45631C2semidirect
16. #45581C2semidirect
17. #45548C2semidirect
18. #45519C2semidirect
19. #45500C2semidirect
20. #45498C2semidirect
21. #35633C2semidirect
22. #35628C2semidirect
23. #35585C2semidirect
24. #35542C2semidirect
25. #35532C2semidirect
26. #35517C2semidirect
27. #35307C2semidirect
28. #35306C2semidirect
29. #35280C2semidirect
30. #35263C2semidirect
31. #35178C2semidirect
32. #35154C2semidirect
34. #34739C2semidirect
35. C2×#2423C2semidirect
49. #2857C22semidirect
50. #2857C22semidirect
53. #2855C22semidirect
54. #2855C22semidirect
58. #2845C22semidirect
60. #2841C22semidirect
61. #2839C22semidirect
64. #2837C22semidirect
67. #2836C22semidirect
68. #2836C22semidirect
69. #2836C22semidirect
70. #2831C22semidirect
71. #2831C22semidirect
77. #2814C22semidirect
78. #2806C22semidirect
79. #2802C22semidirect
80. #2802C22semidirect
81. #2802C22semidirect
83. #2800C22semidirect
84. #2798C22semidirect
86. #2786C22semidirect
88. #2783C22semidirect
89. #2781C22semidirect
92. #2772C22semidirect
94. #2768C22semidirect
96. #2755C22semidirect
97. #2755C22semidirect
100. #2747C22semidirect
101. #2744C22semidirect
104. #2740C22semidirect
108. #2704C22semidirect
109. #2704C22semidirect
113. #2692C22semidirect
115. #2687C22semidirect
118. #2629C22semidirect
119. #2629C22semidirect
122. #2625C22semidirect
123. #2625C22semidirect
128. #2592C22semidirect
129. #2592C22semidirect
130. #2582C22semidirect
131. #2582C22semidirect
133. #2568C22semidirect
134. #2568C22semidirect
135. #2567C22semidirect
136. #2566C22semidirect
137. #2565C22semidirect
141. #2548C22semidirect
143. #2546C22semidirect
144. #2545C22semidirect
145. #2545C22semidirect
146. #2542C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
151. #2536C22semidirect
152. #2536C22semidirect
154. #2509C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2508C22semidirect
158. #2507C22semidirect
159. #2507C22semidirect
160. #2506C22semidirect
161. #2506C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
175. #2487C22semidirect
178. #2486C22semidirect
181. #2485C22semidirect
182. #2485C22semidirect
184. #2453C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
187. #2453C22semidirect
188. #2451C22semidirect
189. #2451C22semidirect
190. #2451C22semidirect
191. #2451C22semidirect
194. #2448C22semidirect
195. #2447C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
198. #2446C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
201. #2445C22semidirect
209. #2441C22semidirect
210. #2441C22semidirect
213. #2440C22semidirect
214. #2440C22semidirect
267. #2378C22semidirect
268. #2378C22semidirect

Maximal subgroups

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

subgroupindex
#531492
#531412
#531222
#531082
#530522
#530212
#530192
#530132
#525502
#525472
#457032
#456752
#456562
#456392
#456312
#455812
#455482
#455192
#455002
#454982
#356332
#356282
#355852
#355422
#355322
#355172
#353072
#353062
#352802
#352632
#351782
#351542
#347432
#347392
C2×#24232