Finite Group Databasebeta

← #7650690

Subgroups — #7650690

Order 512.

5063 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42757C212yesmaximal, complemented
2#42724C212yesmaximal, complemented
3#42718C212yesmaximal, complemented
4#42631C212yesmaximal, complemented
5#42601C212yesmaximal, complemented
6#42592C212yesmaximal, complemented
7#42548C212yesmaximal, complemented
8#42540C212yesmaximal, complemented
9#40559C214yesmaximal, complemented
10#40539C214yesmaximal, complemented
11#40168C212yesmaximal, complemented
12#40149C212yesmaximal, complemented
13#40144C212yesmaximal, complemented
14#40045C212yesmaximal, complemented
15#39536C212yesmaximal, complemented
16#39031C212yesmaximal, complemented
17#39021C212yesmaximal, complemented
18#38996C212yesmaximal, complemented
19#38052C214yesmaximal, complemented
20#37849C214yesmaximal, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35585C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35515C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic
27#35334C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic, complemented
29#35152C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic, complemented
31#34739C211yesmaximal, characteristic, complemented
32C2×#2420C211yesmaximal, characteristic, complemented
33#34269C211yesmaximal, characteristic, complemented
34#34204C211yesmaximal, characteristic, complemented
35#34181C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#518C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2855C2212yescomplemented
46#2854C2212yescomplemented
47#2851C2212yescomplemented
48#2851C2212yescomplemented
49#2849C2214yes—
50#2835C2214yescomplemented
51#2827C2214yescomplemented
52#2827C2214yescomplemented
53#2824C2214yescomplemented
54#2796C2214yescomplemented
55#2796C2214yescomplemented
56#2787C2214yescomplemented
57#2782C2214yescomplemented
58#2782C2214yescomplemented
59#2770C2214yescomplemented
60#2750C2214yescomplemented
61#2750C2214yescomplemented
62#2747C2214yescomplemented
63#2746C2214yescomplemented
64#2746C2214yescomplemented
65#2745C2214yescomplemented
66#2744C2214yescomplemented
67#2743C2214yescomplemented
68#2743C2214yescomplemented
69#2740C2214yescomplemented
70#2740C2214yescomplemented
71#2739C2214yescomplemented
72#2738C2214yescomplemented
73#2737C2214yescomplemented
74#2737C2214yescomplemented
75#2723C2214yescomplemented
76#2723C2214yescomplemented
77#2711C2214yescomplemented
78#2708C2214yescomplemented
79#2706C2214yescomplemented
80#2705C2214yescomplemented
81#2696C2214yescomplemented
82#2693C2214yescomplemented
83#2691C2214yescomplemented
84#2690C2214yescomplemented
85#2681C2214yescomplemented
86#2653C2214yescomplemented
87#2652C2214yescomplemented
88#2652C2214yescomplemented
89#2649C2214yescomplemented
90#2643C2214yescomplemented
91#2639C2214yescomplemented
92#2638C2214yescomplemented
93#2636C2214yescomplemented
94#2636C2214yescomplemented
95#2633C2214yescomplemented
96#2628C2212yescomplemented
97#2628C2212yescomplemented
98#2627C2214yescomplemented
99#2625C2212yescomplemented
100#2624C2212yescomplemented
101#2623C2214yescomplemented
102#2622C2214yes—
103#2581C2212yescomplemented
104#2581C2212yescomplemented
105#2580C2212yescomplemented
106#2580C2212yescomplemented
107#2580C2212yescomplemented
108#2580C2212yescomplemented
109#2571C2212yescomplemented
110#2571C2212yescomplemented
111#2570C2212yescomplemented
112#2570C2212yescomplemented
113#2569C2214yes—
114#2564C2214yes—
115#2564C2214yes—
116#2538C2212yescomplemented
117#2538C2212yescomplemented
118#2537C2212yes—
119#2537C2212yes—
120#2535C2212yes—
121#2535C2212yes—
122#2517C2214yescomplemented
123#2514C2212yescomplemented
124#2513C2212yescomplemented
125#2512C2212yescomplemented
126#2511C2212yescomplemented
127#2510C2214yes—
128#2509C2212yescomplemented
129#2509C2212yescomplemented
130#2509C2212yescomplemented
131#2509C2212yescomplemented
132#2508C2212yescomplemented
133#2508C2212yescomplemented
134#2508C2212yescomplemented
135#2508C2212yescomplemented
136#2507C2212yescomplemented
137#2507C2212yescomplemented
138#2506C2212yescomplemented
139#2506C2212yescomplemented
140#2505C2214yes—
141#2505C2214yes—
142#2498C2214yes—
143#2497C2212yescomplemented
144#2497C2212yescomplemented
145#2497C2212yescomplemented
146#2496C2212yescomplemented
147#2496C2212yescomplemented
148#2496C2212yescomplemented
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2495C2212yescomplemented
152#2494C2212yescomplemented
153#2494C2212yescomplemented
154#2494C2212yescomplemented
155#2493C2214yes—
156#2493C2214yescomplemented
157#2493C2214yescomplemented
158#2488C2214yescomplemented
159#2487C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2481C2214yes—
164#2481C2214yescomplemented
165#2480C2214yes—
166#2466C2214yescomplemented
167#2460C2214yescomplemented
168#2455C2214yescomplemented
169#2454C2212yescomplemented
170#2454C2212yescomplemented
171#2452C2212yescomplemented
172#2452C2212yescomplemented
173#2449C2214yescomplemented
174#2447C2212yescomplemented
175#2447C2212yescomplemented
176#2445C2212yescomplemented
177#2445C2212yescomplemented
178#2443C2214yescomplemented
179#2443C2214yescomplemented
180#2442C2214yes—
181#2442C2211yescharacteristic, complemented
182#2442C2211yescharacteristic, complemented
183#2441C2211yescharacteristic, complemented
184#2441C2211yescharacteristic, complemented
185#2440C2211yescharacteristic, complemented
186#2440C2211yescharacteristic, complemented
187#2439C2211yescharacteristic, complemented
188#2439C2211yescharacteristic, complemented
189#2438C2212yes—
190#2438C2212yes—
191#2437C2212yes—
192#2437C2214yes—
193#2437C2214yes—
194#2437C2212yes—
195#2428C2212yes—
196#2428C2212yes—
197#2427C2212yes—
198#2427C2212yes—
199#2423C2211yescharacteristic, complemented
200#2423C2211yescharacteristic, complemented
201#2422C2212yescomplemented
202#2422C2212yescomplemented
203#2422C2211yescharacteristic, complemented
204#2422C2211yescharacteristic, complemented
205#2421C2211yescharacteristic, complemented
206#2421C2211yescharacteristic, complemented
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2420C2212yes—
214#2420C2212yes—
215#2420C2211yescharacteristic, complemented
216#2420C2212yescomplemented
217#2420C2212yescomplemented
218#2420C2211yescharacteristic, complemented
219#2419C2212yes—
220#2419C2212yes—
221#2419C2214yescomplemented
222#2418C2212yes—
223#2418C2212yes—
224#2412C2214yes—
225#2412C2214yes—
226#2410C2214yes—
227#2396C2212yescomplemented
228#2396C2212yescomplemented
229#2395C2212yescomplemented
230#2395C2212yescomplemented
231C2×#397C2212yes—
232C2×#394C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2366C2212yescomplemented
236#2366C2212yescomplemented
237#2363C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2358C2214yes—
242#2358C2214yes—
243#2349C2212yescomplemented
244#2349C2212yescomplemented
245#2349C2212yescomplemented
246#2349C2212yescomplemented
247D4×C4⋊C4C2212yescomplemented
248D4×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251#2342C2214yes—
252D4×C22⋊C4C2214yes—
253#2325C2214yescomplemented
254#2324C2212yes—
255#2324C2212yes—
256#2324C2212yescomplemented
257#2324C2212yescomplemented
258#2322C2214yescomplemented
259#2318C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2315C2214yes—
268#2313C2214yescomplemented
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2309C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#123C2212yescomplemented
276C4×#123C2212yescomplemented
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#390C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#386C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290C2×#382C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#381C2212yes—
294C2×#380C2214yes—
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#535—28no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2314yes—
314C2×#124C2312yes—
315#525—44no—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×#121—28no—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2314yes—
341C2×#120C2314yes—
342C2×#120C2312yes—
343#518—44no—
344#518—44no—
345C4×#41—44no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×D4—28no—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×#117—44no—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2312yes—
441#399C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#398C2312yes—
453#398C2312yes—
454#398C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2312yes—
489#396C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2312yes—
493#395C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2312yes—
515#393C2314yes—
516#393C2314yes—
517#393C2312yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#383C2314yes—
708#383C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#381C2314yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#379C2314yes—
771#379C2312yes—
772#379C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C25C2411yescharacteristic
820C25C2412yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4—28no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—44no—
831C22×D4—82no—
832C22×D4#4118yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C23×C4—28no—
844C23×C4—24no—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—44no—
848C23×C4—82no—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C4⋊Q8—42no—
874C4⋊Q8—42no—
875#127—28no—
876#126—84no—
877#126—84no—
878#125—42no—
879#125—42no—
880#125—84no—
881#124—28no—
882#123—44no—
883#123—44no—
884#123—48no—
885#123—44no—
886#123—84no—
887#123—84no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—42no—
893C22⋊Q8—42no—
894C22⋊Q8—84no—
895C22⋊Q8—84no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—48no—
903#121—42no—
904#121—42no—
905#121—84no—
906#120—216no—
907#120—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—84no—
932C4×D4—84no—
933C4×D4—84no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—44no—
942#117—44no—
943#117—44no—
944#117—42no—
945#117—42no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—48no—
950C2×C4⋊C4—42no—
951C2×C4⋊C4—42no—
952C2×C4⋊C4—84no—
953C2×C4⋊C4—82no—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—28no—
1024C2×C22⋊C4—42no—
1025C2×C22⋊C4—42no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—48no—
1028C2×C22⋊C4—48no—
1029C2×C22⋊C4—82no—
1030C2×C22⋊C4—82no—
1031C2×C22⋊C4—82no—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C42—24no—
1094C2×C42—24no—
1095C2×C42—44no—
1096C2×C42—44no—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
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—
1192C24—24no—
1193C24—24no—
1194C24—22no—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—42no—
1201C24—42no—
1202C24—42no—
1203C24—42no—
1204C24—41no—
1205C24C2×#4118yes—
1206C24C2511yescharacteristic
1207C24C2512yes—
1208C24C2514yes—
1209C24C2511yescharacteristic
1210C24C2511yescharacteristic
1211#41—416no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—232no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—816no—
1251C2×D4C2×#4118yes—
1252C2×D4C2×#4118yes—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—28no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—28no—
1283C22×C4—44no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—41no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—416no—
1323C22×C4—816no—
1324C22×C4C2×#4114yes—
1325C22×C4H(5,𝔽2)14yes—
1326C22×C42−1+414yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2514yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2514yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—24no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—44no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—24no—
1515C23—21no—
1516C23—21no—
1517C23—24no—
1518C23—21no—
1519C23—24no—
1520C23—24no—
1521C23—21no—
1522C23—24no—
1523C23—24no—
1524C23—21no—
1525C23—216no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—22no—
1530C23—21no—
1531C23—22no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—21no—
1540C23—48no—
1541C23—48no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—84no—
1548C23—84no—
1549C23—82no—
1550C23—82no—
1551C23—84no—
1552C23—84no—
1553C23C22×#4118yes—
1554C23C22×#4112yes—
1555C23C2×H(5,𝔽2)12yes—
1556C23C2×2−1+412yes—
1557C23#58512yes—
1558C23C2611yescharacteristic
1559Q8—44no—
1560Q8—84no—
1561Q8—84no—
1562D4—216no—
1563D4—216no—
1564D4—416no—
1565D4—48no—
1566D4—44no—
1567D4—88no—
1568D4—88no—
1569D4—84no—
1570D4—88no—
1571D4—84no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—416no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—82no—
1664C2×C4—84no—
1665C2×C4—82no—
1666C2×C4—82no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—88no—
1670C2×C4—84no—
1671C2×C4—84no—
1672C2×C4—84no—
1673C2×C4—84no—
1674C2×C4—164no—
1675C2×C4—164no—
1676C2×C4—164no—
1677C2×C4—164no—
1678C2×C4#539116yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×2−1+412yes—
1684C2×C4C2×2−1+412yes—
1685C2×C4#58512yes—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—28no—
1693C22—22no—
1694C22—28no—
1695C22—22no—
1696C22—28no—
1697C22—22no—
1698C22—41no—
1699C22—44no—
1700C22—41no—
1701C22—44no—
1702C22—41no—
1703C22—41no—
1704C22—44no—
1705C22—44no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—41no—
1710C22—42no—
1711C22—41no—
1712C22—42no—
1713C22—41no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—41no—
1720C22—816no—
1721C22—88no—
1722C22C2×#53914yes—
1723C22C23×#4111yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C22×2−1+411yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22C2×#58511yescharacteristic
1728C22H(7,𝔽2)11yescharacteristic
1729C22H(7,𝔽2)11yescharacteristic
1730C4—22no—
1731C4—44no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—44no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—41no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—41no—
1756C4—42no—
1757C4—42no—
1758C4C2×#53914yes—
1759C4C2×#53914yes—
1760C2—24no—
1761C2—48no—
1762C2—42no—
1763C2—82no—
1764C2—81no—
1765C2C22×#53911yescharacteristic
1766C2#6283111yescharacteristic
1767C2#6288111yescharacteristic
1768C2#6293011yescharacteristic
1769C2#6295711yescharacteristic
1770C2#6299011yescharacteristic
1771C2#6299011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35514C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42757C2semidirect
2. #42724C2semidirect
3. #42718C2semidirect
4. #42631C2semidirect
5. #42601C2semidirect
6. #42592C2semidirect
7. #42548C2semidirect
8. #42540C2semidirect
9. #40559C2semidirect
10. #40539C2semidirect
11. #40168C2semidirect
12. #40149C2semidirect
13. #40144C2semidirect
14. #40045C2semidirect
15. #39536C2semidirect
16. #39031C2semidirect
17. #39021C2semidirect
18. #38996C2semidirect
19. #38052C2semidirect
20. #37849C2semidirect
21. #35627C2semidirect
22. #35585C2semidirect
23. #35545C2semidirect
24. #35544C2semidirect
25. #35515C2semidirect
27. #35334C2semidirect
28. #35263C2semidirect
29. #35152C2semidirect
30. #34742C2semidirect
31. #34739C2semidirect
32. C2×#2420C2semidirect
33. #34269C2semidirect
34. #34204C2semidirect
35. #34181C2semidirect
45. #2855C22semidirect
46. #2854C22semidirect
47. #2851C22semidirect
48. #2851C22semidirect
50. #2835C22semidirect
51. #2827C22semidirect
52. #2827C22semidirect
53. #2824C22semidirect
54. #2796C22semidirect
55. #2796C22semidirect
56. #2787C22semidirect
57. #2782C22semidirect
58. #2782C22semidirect
59. #2770C22semidirect
60. #2750C22semidirect
61. #2750C22semidirect
62. #2747C22semidirect
63. #2746C22semidirect
64. #2746C22semidirect
65. #2745C22semidirect
66. #2744C22semidirect
67. #2743C22semidirect
68. #2743C22semidirect
69. #2740C22semidirect
70. #2740C22semidirect
71. #2739C22semidirect
72. #2738C22semidirect
73. #2737C22semidirect
74. #2737C22semidirect
75. #2723C22semidirect
76. #2723C22semidirect
77. #2711C22semidirect
78. #2708C22semidirect
79. #2706C22semidirect
80. #2705C22semidirect
81. #2696C22semidirect
82. #2693C22semidirect
83. #2691C22semidirect
84. #2690C22semidirect
85. #2681C22semidirect
86. #2653C22semidirect
87. #2652C22semidirect
88. #2652C22semidirect
89. #2649C22semidirect
90. #2643C22semidirect
91. #2639C22semidirect
92. #2638C22semidirect
93. #2636C22semidirect
94. #2636C22semidirect
95. #2633C22semidirect
96. #2628C22semidirect
97. #2628C22semidirect
98. #2627C22semidirect
99. #2625C22semidirect
100. #2624C22semidirect
101. #2623C22semidirect
103. #2581C22semidirect
104. #2581C22semidirect
105. #2580C22semidirect
106. #2580C22semidirect
107. #2580C22semidirect
108. #2580C22semidirect
109. #2571C22semidirect
110. #2571C22semidirect
111. #2570C22semidirect
112. #2570C22semidirect
116. #2538C22semidirect
117. #2538C22semidirect
122. #2517C22semidirect
123. #2514C22semidirect
124. #2513C22semidirect
125. #2512C22semidirect
126. #2511C22semidirect
128. #2509C22semidirect
129. #2509C22semidirect
130. #2509C22semidirect
131. #2509C22semidirect
132. #2508C22semidirect
133. #2508C22semidirect
134. #2508C22semidirect
135. #2508C22semidirect
136. #2507C22semidirect
137. #2507C22semidirect
138. #2506C22semidirect
139. #2506C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2496C22semidirect
147. #2496C22semidirect
148. #2496C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2495C22semidirect
152. #2494C22semidirect
153. #2494C22semidirect
154. #2494C22semidirect
156. #2493C22semidirect
157. #2493C22semidirect
158. #2488C22semidirect
159. #2487C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
164. #2481C22semidirect
166. #2466C22semidirect
167. #2460C22semidirect
168. #2455C22semidirect
169. #2454C22semidirect
170. #2454C22semidirect
171. #2452C22semidirect
172. #2452C22semidirect
173. #2449C22semidirect
174. #2447C22semidirect
175. #2447C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2443C22semidirect
179. #2443C22semidirect
181. #2442C22semidirect
182. #2442C22semidirect
183. #2441C22semidirect
184. #2441C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2439C22semidirect
188. #2439C22semidirect
199. #2423C22semidirect
200. #2423C22semidirect
201. #2422C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
215. #2420C22semidirect
216. #2420C22semidirect
217. #2420C22semidirect
218. #2420C22semidirect
221. #2419C22semidirect
227. #2396C22semidirect
228. #2396C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2366C22semidirect
243. #2349C22semidirect
244. #2349C22semidirect
245. #2349C22semidirect
246. #2349C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
253. #2325C22semidirect
256. #2324C22semidirect
257. #2324C22semidirect
258. #2322C22semidirect
259. #2318C22semidirect
268. #2313C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×#123C22semidirect
276. C4×#123C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#427572
#427242
#427182
#426312
#426012
#425922
#425482
#425402
#405592
#405392
#401682
#401492
#401442
#400452
#395362
#390312
#390212
#389962
#380522
#378492
#356272
#355852
#355452
#355442
#355152
#355142
#353342
#352632
#351522
#347422
#347392
C2×#24202
#342692
#342042
#341812