Finite Group Databasebeta

← #8424617

Subgroups — #8424617

Order 512.

5154 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59444C211yesmaximal, characteristic, complemented
2#59224C212yesmaximal, complemented
3#59127C211yesmaximal, characteristic, complemented
4#59052C211yesmaximal, characteristic, complemented
5#59014C212yesmaximal, complemented
6#58048C214yesmaximal, complemented
7#57311C214yesmaximal, complemented
8#53082C212yesmaximal, complemented
9#53011C212yesmaximal, complemented
10#53006C212yesmaximal, complemented
11#52997C212yesmaximal, complemented
12#52547C214yesmaximal, complemented
13#42994C212yesmaximal, complemented
14#42771C212yesmaximal, complemented
15#42739C212yesmaximal, complemented
16#42497C212yesmaximal, complemented
17#40819C214yesmaximal, complemented
18#39732C212yesmaximal, complemented
19#39618C211yesmaximal, characteristic, complemented
20#39343C211yesmaximal, characteristic, complemented
21#39203C211yesmaximal, characteristic, complemented
22#39121C212yesmaximal, complemented
23#38930C211yesmaximal, characteristic, complemented
24#38056C212yesmaximal, complemented
25#37651C212yesmaximal, complemented
26#37634C211yesmaximal, characteristic, complemented
27#37628C211yesmaximal, characteristic, complemented
28#37623C212yesmaximal, complemented
29#37442C212yesmaximal, complemented
30#36176C211yesmaximal, characteristic, complemented
31#36154C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33C2×#2542C211yesmaximal, characteristic, complemented
34#34780C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#552C2212yescomplemented
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#536C2212yescomplemented
41C2×#533C2211yescharacteristic, complemented
42C2×#532C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×#525C2212yes—
45C22×C22⋊Q8C2212yes—
46C22×C22⋊Q8C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2862C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2854C2212yes—
52#2848C2212yes—
53#2843C2214yescomplemented
54#2843C2214yescomplemented
55#2841C2214yescomplemented
56#2838C2214yescomplemented
57#2837C2214yescomplemented
58#2837C2214yescomplemented
59#2837C2214yescomplemented
60#2836C2214yescomplemented
61#2827C2214yescomplemented
62#2826C2214yescomplemented
63#2820C2214yescomplemented
64#2816C2214yescomplemented
65#2814C2214yescomplemented
66#2814C2214yescomplemented
67#2798C2214yescomplemented
68#2795C2214yescomplemented
69#2793C2214yescomplemented
70#2790C2214yescomplemented
71#2773C2214yescomplemented
72#2768C2214yescomplemented
73#2756C2214yes—
74#2756C2214yes—
75#2754C2214yescomplemented
76#2753C2214yes—
77#2749C2214yes—
78#2746C2214yescomplemented
79#2743C2214yescomplemented
80#2742C2214yescomplemented
81#2738C2214yescomplemented
82#2737C2214yes—
83#2732C2214yescomplemented
84#2729C2214yescomplemented
85#2729C2214yescomplemented
86#2728C2214yescomplemented
87#2728C2214yescomplemented
88#2718C2214yescomplemented
89#2718C2214yescomplemented
90#2706C2214yes—
91#2706C2214yescomplemented
92#2702C2214yescomplemented
93#2694C2214yescomplemented
94#2692C2214yescomplemented
95#2692C2214yescomplemented
96#2690C2214yescomplemented
97#2681C2214yescomplemented
98#2680C2214yescomplemented
99#2677C2214yescomplemented
100#2677C2214yescomplemented
101#2674C2214yescomplemented
102#2674C2214yescomplemented
103#2672C2214yescomplemented
104#2660C2212yescomplemented
105#2660C2212yescomplemented
106#2660C2214yescomplemented
107#2659C2214yescomplemented
108#2654C2214yescomplemented
109#2649C2214yescomplemented
110#2647C2212yescomplemented
111#2647C2214yescomplemented
112#2647C2212yescomplemented
113#2644C2212yes—
114#2641C2212yes—
115#2639C2214yescomplemented
116#2632C2214yescomplemented
117#2628C2214yescomplemented
118#2627C2214yes—
119#2627C2214yes—
120#2625C2212yescomplemented
121#2625C2212yescomplemented
122#2621C2212yescomplemented
123#2618C2214yes—
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2616C2212yescomplemented
127#2610C2214yes—
128#2571C2211yescharacteristic, complemented
129#2571C2212yescomplemented
130#2570C2212yescomplemented
131#2566C2212yescomplemented
132#2563C2212yes—
133#2563C2211yescharacteristic
134#2563C2211yescharacteristic, complemented
135#2561C2214yes—
136#2552C2212yescomplemented
137#2552C2212yescomplemented
138#2551C2212yescomplemented
139#2551C2212yescomplemented
140#2550C2212yescomplemented
141#2546C2211yescharacteristic, complemented
142#2542C2212yes—
143#2542C2211yescharacteristic
144#2542C2212yes—
145#2542C2212yes—
146#2542C2211yescharacteristic
147#2542C2212yes—
148#2542C2211yescharacteristic
149#2542C2211yescharacteristic
150#2542C2214yes—
151#2542C2211yescharacteristic, complemented
152#2542C2212yescomplemented
153#2538C2211yescharacteristic
154#2536C2212yescomplemented
155#2536C2212yescomplemented
156#2536C2212yescomplemented
157#2536C2212yescomplemented
158#2534C2214yes—
159#2532C2214yescomplemented
160#2531C2214yes—
161#2524C2212yescomplemented
162#2515C2212yescomplemented
163#2514C2211yescharacteristic, complemented
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yescomplemented
168#2512C2212yescomplemented
169#2508C2212yescomplemented
170#2508C2211yescharacteristic, complemented
171#2507C2212yescomplemented
172#2503C2211yescharacteristic
173#2503C2212yescomplemented
174#2500C2212yes—
175#2500C2212yescomplemented
176#2497C2212yescomplemented
177#2495C2211yescharacteristic, complemented
178#2495C2212yescomplemented
179#2493C2212yes—
180#2492C2212yescomplemented
181#2491C2212yes—
182#2489C2212yescomplemented
183#2489C2211yescharacteristic, complemented
184#2488C2214yes—
185#2488C2214yescomplemented
186#2487C2212yes—
187#2486C2211yescharacteristic
188#2486C2212yes—
189#2481C2214yes—
190#2479C2214yescomplemented
191#2472C2214yes—
192#2472C2212yes—
193#2464C2212yes—
194#2461C2212yes—
195#2454C2212yes—
196#2454C2212yes—
197#2452C2211yescharacteristic
198#2452C2212yescomplemented
199#2451C2212yescomplemented
200#2450C2214yes—
201#2449C2214yes—
202#2446C2212yescomplemented
203#2445C2211yescharacteristic
204#2445C2212yes—
205#2445C2212yes—
206#2443C2214yes—
207#2442C2212yes—
208#2442C2212yes—
209#2442C2214yes—
210#2442C2211yescharacteristic
211#2441C2212yescomplemented
212#2440C2214yes—
213#2440C2212yes—
214#2440C2211yescharacteristic
215#2439C2212yescomplemented
216#2438C2214yescomplemented
217#2437C2214yes—
218#2434C2212yescomplemented
219#2433C2211yescharacteristic
220#2429C2212yescomplemented
221#2429C2212yescomplemented
222#2429C2212yescomplemented
223#2429C2212yescomplemented
224#2428C2211yescharacteristic
225#2424C2212yes—
226#2423C2214yescomplemented
227#2422C2211yescharacteristic
228#2422C2212yescomplemented
229#2421C2212yescomplemented
230#2421C2212yescomplemented
231#2421C2212yescomplemented
232#2420C2212yes—
233#2419C2212yes—
234#2418C2214yes—
235#2417C2211yescharacteristic
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yescomplemented
239#2417C2212yescomplemented
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2417C2212yescomplemented
243#2416C2211yescharacteristic
244#2415C2212yescomplemented
245#2415C2212yescomplemented
246#2412C2214yes—
247#2412C2214yes—
248#2412C2214yes—
249#2409C2212yes—
250#2409C2212yes—
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2409C2212yescomplemented
254#2408C2211yescharacteristic
255#2402C2212yescomplemented
256#2401C2212yescomplemented
257C2×#399C2214yes—
258#2392C2212yes—
259#2388C2212yes—
260#2369C2211yescharacteristic, complemented
261#2365C2211yescharacteristic, complemented
262#2363C2212yes—
263#2361C2212yes—
264#2360C2212yes—
265#2360C2212yescomplemented
266#2354C2212yes—
267#2354C2211yescharacteristic, complemented
268#2352C2212yes—
269#2352C2212yes—
270#2349C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272#2346C2212yescomplemented
273#2342C2214yes—
274Q8×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276#2328C2212yes—
277#2323C2212yescomplemented
278#2322C2214yes—
279#2319C2212yes—
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#123C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#120C2212yes—
289#2295C2211yescharacteristic, complemented
290#2293C2211yescharacteristic
291C2×#390C2212yes—
292C2×#384C2212yes—
293#2283C2212yes—
294#2283C2212yes—
295#2283C2211yescharacteristic, complemented
296C2×#380C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#554—44no—
305#552—48no—
306D4×Q8—44no—
307D4×Q8—48no—
308#536—48no—
309#533—44no—
310#532—44no—
311C2×C4⋊Q8—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2314yes—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332#525—48no—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8—48no—
341C2×C22⋊Q8—48no—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#120C2312yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×D4—44no—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2314yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2312yes—
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426#401C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2312yes—
482#398C2312yes—
483#398C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2312yes—
513#396C2314yes—
514#396C2312yes—
515#396C2312yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2312yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2314yes—
555#393C2314yes—
556#392C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2314yes—
565#391C2314yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2314yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2314yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2314yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2314yes—
720#384C2312yes—
721#384C2314yes—
722#384C2312yes—
723#384C2314yes—
724#384C2312yes—
725#383C2314yes—
726#383C2312yes—
727#383C2312yes—
728#383C2312yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#381C2312yes—
743#381C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2312yes—
748#381C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2314yes—
777#379C2312yes—
778#379C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817#376C2312yes—
818#376C2314yes—
819C2×#95C2314yes—
820C2×#95C2312yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8—28no—
827C22×Q8—44no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2414yes—
838C22×Q8C2412yes—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—42no—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C23×C4—28no—
856C23×C4—44no—
857C23×C4—44no—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2414yes—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—42no—
882C4⋊Q8—48no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—44no—
886C4⋊Q8—48no—
887#127—24no—
888#127—42no—
889#126—48no—
890#125—24no—
891#125—44no—
892#125—48no—
893#125—44no—
894#124—44no—
895#124—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—44no—
900#123—44no—
901#123—44no—
902#123—48no—
903C22⋊Q8—24no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—24no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932#121—24no—
933#121—24no—
934#121—44no—
935#121—44no—
936#121—42no—
937#121—42no—
938#121—44no—
939#120—44no—
940#120—44no—
941#120—44no—
942C4×Q8—24no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×D4—28no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—44no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—42no—
965C4×D4—48no—
966#117—28no—
967#117—44no—
968#117—48no—
969#117—44no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—42no—
973C2×C4⋊C4—48no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—48no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4—48no—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C42—28no—
1115C2×C42—24no—
1116C2×C42—24no—
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2414yes—
1137C2×C42C2414yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2414yes—
1141C2×C42C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—24no—
1211C24—24no—
1212C24—24no—
1213C24—24no—
1214C24—42no—
1215C24—42no—
1216C24—42no—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222#41—816no—
1223C2×Q8—22no—
1224C2×Q8—24no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—28no—
1234C2×Q8—44no—
1235C2×Q8—42no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—42no—
1239C2×Q8—44no—
1240C2×Q8—42no—
1241C2×Q8—44no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×Q8—816no—
1245C2×Q8—816no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—416no—
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—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D42−1+414yes—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—28no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—42no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—41no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—816no—
1339C22×C4H(5,𝔽2)14yes—
1340C22×C42−1+414yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—41no—
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—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4H(5,𝔽2)14yes—
1443C22⋊C4—22no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—22no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—22no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—41no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—28no—
1509C42—22no—
1510C42—24no—
1511C42—24no—
1512C42—22no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—22no—
1518C42—24no—
1519C42—22no—
1520C42—44no—
1521C42—41no—
1522C42—44no—
1523C42—44no—
1524C42—41no—
1525C42—44no—
1526C42H(5,𝔽2)14yes—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—21no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—48no—
1559C23—48no—
1560C23—48no—
1561C23—48no—
1562C23—84no—
1563C23—84no—
1564C23—84no—
1565C23C2×H(5,𝔽2)12yes—
1566C23C2×2−1+414yes—
1567C23C2×2−1+412yes—
1568C23#58512yes—
1569C23C2611yescharacteristic
1570Q8—48no—
1571Q8—44no—
1572Q8—48no—
1573Q8—84no—
1574Q8—88no—
1575Q8—88no—
1576Q8—84no—
1577D4—28no—
1578D4—48no—
1579D4—48no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—28no—
1599C2×C4—28no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—48no—
1673C2×C4—44no—
1674C2×C4—48no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—82no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—88no—
1684C2×C4—84no—
1685C2×C4—88no—
1686C2×C4—88no—
1687C2×C4—164no—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)14yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×H(5,𝔽2)12yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×2−1+412yes—
1696C2×C4C2×2−1+412yes—
1697C2×C4C2×2−1+412yes—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—41no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—42no—
1721C22—41no—
1722C22—42no—
1723C22—41no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—42no—
1732C22—816no—
1733C22#354714yes—
1734C22C22×H(5,𝔽2)11yescharacteristic
1735C22C22×H(5,𝔽2)11yescharacteristic
1736C22C22×H(5,𝔽2)11yescharacteristic
1737C22C22×2−1+411yescharacteristic
1738C22C22×2−1+411yescharacteristic
1739C22C2×#58511yescharacteristic
1740C222−1+611yescharacteristic
1741C4—22no—
1742C4—22no—
1743C4—24no—
1744C4—22no—
1745C4—41no—
1746C4—42no—
1747C4—42no—
1748C4—41no—
1749C4—42no—
1750C4—42no—
1751C4—44no—
1752C4—44no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—41no—
1757C4—44no—
1758C4—42no—
1759C4—41no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—42no—
1768C4—44no—
1769C4#353814yes—
1770C4#354314yes—
1771C2—24no—
1772C2—44no—
1773C2—81no—
1774C2—82no—
1775C2—82no—
1776C2C2×#353811yescharacteristic
1777C2C2×#354311yescharacteristic
1778C2C2×#354711yescharacteristic
1779C2#6291511yescharacteristic
1780C2#6294211yescharacteristic
1781C2#6295411yescharacteristic
1782C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34681C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59444C2semidirect
2. #59224C2semidirect
3. #59127C2semidirect
4. #59052C2semidirect
5. #59014C2semidirect
6. #58048C2semidirect
7. #57311C2semidirect
8. #53082C2semidirect
9. #53011C2semidirect
10. #53006C2semidirect
11. #52997C2semidirect
12. #52547C2semidirect
13. #42994C2semidirect
14. #42771C2semidirect
15. #42739C2semidirect
16. #42497C2semidirect
17. #40819C2semidirect
18. #39732C2semidirect
19. #39618C2semidirect
20. #39343C2semidirect
21. #39203C2semidirect
22. #39121C2semidirect
23. #38930C2semidirect
24. #38056C2semidirect
25. #37651C2semidirect
26. #37634C2semidirect
27. #37628C2semidirect
28. #37623C2semidirect
29. #37442C2semidirect
30. #36176C2semidirect
31. #36154C2semidirect
32. #36129C2semidirect
33. C2×#2542C2semidirect
34. #34780C2semidirect
37. C2×#552C22semidirect
39. C2×D4×Q8C22semidirect
40. C2×#536C22semidirect
41. C2×#533C22semidirect
48. #2862C22semidirect
50. #2857C22semidirect
53. #2843C22semidirect
54. #2843C22semidirect
55. #2841C22semidirect
56. #2838C22semidirect
57. #2837C22semidirect
58. #2837C22semidirect
59. #2837C22semidirect
60. #2836C22semidirect
61. #2827C22semidirect
62. #2826C22semidirect
63. #2820C22semidirect
64. #2816C22semidirect
65. #2814C22semidirect
66. #2814C22semidirect
67. #2798C22semidirect
68. #2795C22semidirect
69. #2793C22semidirect
70. #2790C22semidirect
71. #2773C22semidirect
72. #2768C22semidirect
75. #2754C22semidirect
78. #2746C22semidirect
79. #2743C22semidirect
80. #2742C22semidirect
81. #2738C22semidirect
83. #2732C22semidirect
84. #2729C22semidirect
85. #2729C22semidirect
86. #2728C22semidirect
87. #2728C22semidirect
88. #2718C22semidirect
89. #2718C22semidirect
91. #2706C22semidirect
92. #2702C22semidirect
93. #2694C22semidirect
94. #2692C22semidirect
95. #2692C22semidirect
96. #2690C22semidirect
97. #2681C22semidirect
98. #2680C22semidirect
99. #2677C22semidirect
100. #2677C22semidirect
101. #2674C22semidirect
102. #2674C22semidirect
103. #2672C22semidirect
104. #2660C22semidirect
105. #2660C22semidirect
106. #2660C22semidirect
107. #2659C22semidirect
108. #2654C22semidirect
109. #2649C22semidirect
110. #2647C22semidirect
111. #2647C22semidirect
112. #2647C22semidirect
115. #2639C22semidirect
116. #2632C22semidirect
117. #2628C22semidirect
120. #2625C22semidirect
121. #2625C22semidirect
122. #2621C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2616C22semidirect
128. #2571C22semidirect
129. #2571C22semidirect
130. #2570C22semidirect
131. #2566C22semidirect
134. #2563C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2551C22semidirect
139. #2551C22semidirect
140. #2550C22semidirect
141. #2546C22semidirect
151. #2542C22semidirect
152. #2542C22semidirect
154. #2536C22semidirect
155. #2536C22semidirect
156. #2536C22semidirect
157. #2536C22semidirect
159. #2532C22semidirect
161. #2524C22semidirect
162. #2515C22semidirect
163. #2514C22semidirect
167. #2513C22semidirect
168. #2512C22semidirect
169. #2508C22semidirect
170. #2508C22semidirect
171. #2507C22semidirect
173. #2503C22semidirect
175. #2500C22semidirect
176. #2497C22semidirect
177. #2495C22semidirect
178. #2495C22semidirect
180. #2492C22semidirect
182. #2489C22semidirect
183. #2489C22semidirect
185. #2488C22semidirect
190. #2479C22semidirect
198. #2452C22semidirect
199. #2451C22semidirect
202. #2446C22semidirect
211. #2441C22semidirect
215. #2439C22semidirect
216. #2438C22semidirect
218. #2434C22semidirect
220. #2429C22semidirect
221. #2429C22semidirect
222. #2429C22semidirect
223. #2429C22semidirect
226. #2423C22semidirect
228. #2422C22semidirect
229. #2421C22semidirect
230. #2421C22semidirect
231. #2421C22semidirect
238. #2417C22semidirect
239. #2417C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
242. #2417C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
253. #2409C22semidirect
255. #2402C22semidirect
256. #2401C22semidirect
260. #2369C22semidirect
261. #2365C22semidirect
265. #2360C22semidirect
267. #2354C22semidirect
272. #2346C22semidirect
277. #2323C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#125C22semidirect
284. C4×C22⋊Q8C22semidirect
289. #2295C22semidirect
295. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#594442
#592242
#591272
#590522
#590142
#580482
#573112
#530822
#530112
#530062
#529972
#525472
#429942
#427712
#427392
#424972
#408192
#397322
#396182
#393432
#392032
#391212
#389302
#380562
#376512
#376342
#376282
#376232
#374422
#361762
#361542
#361292
C2×#25422
#347802
#346812