Finite Group Databasebeta

← #8094474

Subgroups — #8094474

Order 512.

5681 conjugacy classes of subgroups.

The subgroup lattice has 1979 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53128C212yesmaximal, complemented
2#53102C212yesmaximal, complemented
3#53064C212yesmaximal, complemented
4#53055C212yesmaximal, complemented
5#53053C212yesmaximal, complemented
6#53014C212yesmaximal, complemented
7#53011C212yesmaximal, complemented
8#53006C212yesmaximal, complemented
9#52529C214yesmaximal, complemented
10#52471C214yesmaximal, complemented
11#46038C214yesmaximal, complemented
12#45982C214yesmaximal, complemented
13#45721C212yesmaximal, complemented
14#45701C212yesmaximal, complemented
15#45663C212yesmaximal, complemented
16#45624C212yesmaximal, complemented
17#45623C212yesmaximal, complemented
18#45599C212yesmaximal, complemented
19#45593C212yesmaximal, complemented
20#45508C212yesmaximal, complemented
21#35618C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35564C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35328C211yesmaximal, characteristic, complemented
28#35255C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35166C211yesmaximal, characteristic, complemented
32#35160C211yesmaximal, characteristic, complemented
33C2×#2495C211yesmaximal, characteristic, complemented
34#34743C211yesmaximal, characteristic, complemented
35#34738C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#537C2211yescharacteristic, complemented
42C2×#537C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic, complemented
46C2×#525C2211yescharacteristic
47C2×#525C2211yescharacteristic
48C2×#525C2211yescharacteristic
49C2×#520C2211yescharacteristic, complemented
50C2×#520C2211yescharacteristic, complemented
51C2×C4×#41C2211yescharacteristic, complemented
52#2856C2214yescomplemented
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2852C2214yescomplemented
56#2850C2212yescomplemented
57#2850C2212yescomplemented
58#2848C2212yes—
59#2848C2212yes—
60#2847C2212yes—
61#2847C2212yes—
62#2843C2214yescomplemented
63#2841C2214yescomplemented
64#2838C2214yescomplemented
65#2837C2214yescomplemented
66#2837C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2828C2214yescomplemented
70#2828C2214yescomplemented
71#2828C2214yescomplemented
72#2827C2214yes—
73#2827C2214yescomplemented
74#2826C2214yescomplemented
75#2826C2214yescomplemented
76#2825C2214yescomplemented
77#2824C2214yescomplemented
78#2818C2214yescomplemented
79#2815C2214yescomplemented
80#2813C2214yescomplemented
81#2812C2214yes—
82#2807C2214yescomplemented
83#2803C2214yescomplemented
84#2797C2214yes—
85#2796C2214yes—
86#2796C2214yescomplemented
87#2795C2214yescomplemented
88#2790C2214yes—
89#2780C2214yescomplemented
90#2778C2214yescomplemented
91#2757C2214yescomplemented
92#2757C2214yescomplemented
93#2757C2214yescomplemented
94#2756C2214yescomplemented
95#2756C2214yescomplemented
96#2756C2214yescomplemented
97#2756C2214yescomplemented
98#2752C2214yescomplemented
99#2749C2214yes—
100#2749C2214yescomplemented
101#2749C2214yescomplemented
102#2749C2214yescomplemented
103#2746C2214yes—
104#2742C2214yescomplemented
105#2737C2214yescomplemented
106#2737C2214yescomplemented
107#2737C2214yescomplemented
108#2735C2214yes—
109#2714C2214yescomplemented
110#2703C2214yescomplemented
111#2703C2214yescomplemented
112#2699C2214yescomplemented
113#2697C2214yes—
114#2693C2214yescomplemented
115#2688C2214yes—
116#2688C2214yescomplemented
117#2685C2214yes—
118#2678C2214yes—
119#2673C2214yescomplemented
120#2669C2214yes—
121#2668C2214yes—
122#2656C2214yescomplemented
123#2643C2214yescomplemented
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2621C2212yescomplemented
127#2619C2212yescomplemented
128#2616C2212yes—
129#2616C2212yes—
130#2615C2212yes—
131#2615C2212yes—
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2543C2214yescomplemented
135#2543C2214yescomplemented
136#2542C2212yescomplemented
137#2542C2212yescomplemented
138#2541C2212yescomplemented
139#2541C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2540C2212yescomplemented
143#2540C2212yescomplemented
144#2538C2212yes—
145#2538C2212yescomplemented
146#2537C2212yes—
147#2537C2212yescomplemented
148#2536C2212yes—
149#2536C2212yescomplemented
150#2536C2212yescomplemented
151#2536C2212yescomplemented
152#2535C2212yes—
153#2535C2212yescomplemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2514C2212yescomplemented
157#2513C2212yescomplemented
158#2512C2212yescomplemented
159#2511C2212yescomplemented
160#2504C2212yescomplemented
161#2503C2212yescomplemented
162#2500C2212yescomplemented
163#2499C2212yescomplemented
164#2497C2212yescomplemented
165#2496C2212yescomplemented
166#2495C2212yes—
167#2495C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2495C2212yescomplemented
171#2495C2212yescomplemented
172#2495C2212yescomplemented
173#2495C2212yescomplemented
174#2495C2212yescomplemented
175#2494C2212yescomplemented
176#2487C2212yescomplemented
177#2486C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yescomplemented
182#2446C2212yescomplemented
183#2445C2212yescomplemented
184#2444C2214yescomplemented
185#2444C2214yescomplemented
186#2444C2214yescomplemented
187#2444C2214yescomplemented
188#2443C2214yescomplemented
189#2443C2214yescomplemented
190#2436C2211yescharacteristic
191#2435C2211yescharacteristic
192#2434C2211yescharacteristic
193#2433C2211yescharacteristic
194#2432C2211yescharacteristic
195#2432C2211yescharacteristic
196#2431C2211yescharacteristic
197#2431C2211yescharacteristic
198#2430C2212yes—
199#2430C2214yes—
200#2430C2214yes—
201#2430C2212yes—
202#2429C2211yescharacteristic
203#2429C2211yescharacteristic, complemented
204#2429C2212yescomplemented
205#2429C2212yescomplemented
206#2428C2211yescharacteristic
207#2428C2212yescomplemented
208#2428C2211yescharacteristic, complemented
209#2428C2212yescomplemented
210#2427C2211yescharacteristic
211#2427C2212yescomplemented
212#2427C2212yescomplemented
213#2427C2211yescharacteristic, complemented
214#2426C2211yescharacteristic
215#2426C2211yescharacteristic, complemented
216#2426C2212yescomplemented
217#2426C2212yescomplemented
218#2425C2212yescomplemented
219#2425C2214yescomplemented
220#2425C2214yescomplemented
221#2425C2212yescomplemented
222#2424C2212yes—
223#2424C2212yes—
224#2424C2214yes—
225#2424C2214yes—
226#2423C2212yescomplemented
227#2422C2212yescomplemented
228#2421C2212yescomplemented
229#2421C2212yescomplemented
230#2421C2212yescomplemented
231#2420C2212yescomplemented
232#2420C2212yescomplemented
233#2420C2212yescomplemented
234#2417C2212yes—
235#2417C2212yescomplemented
236#2417C2212yescomplemented
237#2417C2212yescomplemented
238#2416C2212yes—
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2214yescomplemented
242#2416C2214yescomplemented
243#2416C2212yescomplemented
244#2415C2212yes—
245#2415C2212yescomplemented
246#2415C2212yescomplemented
247#2415C2212yescomplemented
248#2414C2212yes—
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2414C2212yescomplemented
252#2410C2212yes—
253#2410C2212yes—
254#2410C2214yes—
255#2410C2214yes—
256#2409C2212yes—
257#2409C2212yes—
258#2408C2212yes—
259#2408C2212yes—
260#2407C2212yes—
261#2407C2212yes—
262#2407C2212yes—
263#2407C2212yes—
264C2×#400C2212yescomplemented
265#2392C2212yes—
266#2392C2212yescomplemented
267C2×#397C2212yes—
268#2388C2212yes—
269#2388C2212yes—
270#2383C2214yescomplemented
271#2380C2214yescomplemented
272#2377C2214yes—
273#2375C2214yes—
274#2317C2211yescharacteristic, complemented
275#2317C2211yescharacteristic, complemented
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic, complemented
281#2311C2211yescharacteristic, complemented
282C4×#121C2212yes—
283C4×#121C2212yescomplemented
284C4×#120C2212yes—
285C4×#120C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic, complemented
289#2296C2211yescharacteristic, complemented
290C2×#389C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#388C2212yes—
293C2×#383C2212yescomplemented
294C2×#382C2211yescharacteristic, complemented
295C2×#380C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C23×Q8C2311yescharacteristic
312C23×D4C2311yescharacteristic
313C23×D4C2312yes—
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316#537—44no—
317#537—44no—
318#537—44no—
319#537—44no—
320#537—44no—
321#537—44no—
322#532—44no—
323#532—44no—
324#532—44no—
325C2×C4⋊Q8C2311yescharacteristic
326C2×C4⋊Q8C2311yescharacteristic
327C2×C4⋊Q8C2311yescharacteristic
328C2×#127C2314yes—
329C2×#127C2311yescharacteristic
330C2×#127C2311yescharacteristic
331C2×#127C2311yescharacteristic
332C2×#126C2314yes—
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339#525—44no—
340#525—44no—
341#525—44no—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2311yescharacteristic
392C2×#121C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#120C2314yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407C2×#120C2314yes—
408#520—44no—
409#520—44no—
410C4×#41—44no—
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2311yescharacteristic
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×#117C2311yescharacteristic
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C22⋊C4C2311yescharacteristic
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2312yes—
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2312yes—
456C22×C42C2312yes—
457#401C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2312yes—
484#398C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2312yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2312yes—
521#396C2312yes—
522#396C2312yes—
523#395C2312yes—
524#395C2314yes—
525#395C2314yes—
526#395C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2312yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2312yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#393C2312yes—
566#393C2314yes—
567#393C2314yes—
568#393C2312yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2312yes—
581#392C2314yes—
582#392C2314yes—
583#392C2312yes—
584#392C2312yes—
585#392C2312yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2312yes—
590#392C2312yes—
591#392C2314yes—
592#392C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2311yescharacteristic
601#391C2311yescharacteristic
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2312yes—
615#390C2314yes—
616#390C2311yescharacteristic
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2314yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
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#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2314yes—
754#383C2314yes—
755#383C2314yes—
756#383C2314yes—
757#383C2314yes—
758#383C2314yes—
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#379C2314yes—
796#379C2314yes—
797#379C2312yes—
798#379C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2311yescharacteristic
827C2×#95C2312yes—
828C25C2411yescharacteristic
829C25C2412yes—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—24no—
844C2×#41—24no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—464no—
858C22×Q8—42no—
859C22×Q8—42no—
860C22×Q8—42no—
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2411yescharacteristic
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C23×C4—24no—
905C23×C4—24no—
906C23×C4—24no—
907C23×C4—44no—
908C23×C4—44no—
909C23×C4—44no—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C4⋊Q8—42no—
937C4⋊Q8—42no—
938C4⋊Q8—42no—
939#127—48no—
940#127—42no—
941#127—42no—
942#127—42no—
943#126—48no—
944#124—42no—
945#124—42no—
946#124—42no—
947#124—42no—
948#124—42no—
949#124—42no—
950#123—44no—
951#123—44no—
952#123—44no—
953#123—84no—
954#123—84no—
955C22⋊Q8—42no—
956C22⋊Q8—42no—
957C22⋊Q8—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961C22⋊Q8—44no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965C22⋊Q8—44no—
966C22⋊Q8—44no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973#121—44no—
974#121—48no—
975#121—44no—
976#121—42no—
977#121—42no—
978#121—42no—
979#121—42no—
980#121—42no—
981#121—42no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—48no—
1001#121—48no—
1002#121—48no—
1003#121—48no—
1004#121—48no—
1005#121—48no—
1006#121—84no—
1007#121—84no—
1008#121—84no—
1009#120—44no—
1010#120—44no—
1011#120—48no—
1012#120—44no—
1013#120—44no—
1014#120—44no—
1015#120—84no—
1016C4×Q8—42no—
1017C4×Q8—42no—
1018C4×Q8—44no—
1019C4×Q8—44no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—48no—
1039C4×D4—48no—
1040#117—24no—
1041#117—24no—
1042#117—24no—
1043#117—44no—
1044#117—44no—
1045#117—44no—
1046C2×C4⋊C4—24no—
1047C2×C4⋊C4—24no—
1048C2×C4⋊C4—24no—
1049C2×C4⋊C4—24no—
1050C2×C4⋊C4—44no—
1051C2×C4⋊C4—44no—
1052C2×C4⋊C4—82no—
1053C2×C4⋊C4—82no—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C22⋊C4—42no—
1103C2×C22⋊C4—42no—
1104C2×C22⋊C4—44no—
1105C2×C22⋊C4—82no—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C42—24no—
1186C2×C42—24no—
1187C2×C42—44no—
1188C2×C42—44no—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2414yes—
1201C2×C42C2414yes—
1202C2×C42C2414yes—
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—24no—
1265C24—41no—
1266C24—41no—
1267C24—42no—
1268C24—42no—
1269C24—42no—
1270C24—41no—
1271C24—42no—
1272C24—42no—
1273C24—42no—
1274C24C2511yescharacteristic
1275C24C2512yes—
1276C24C2512yes—
1277C24C2512yes—
1278C24C2512yes—
1279C24C2512yes—
1280C24C2511yescharacteristic
1281C24C2511yescharacteristic
1282#41—432no—
1283#41—416no—
1284#41—416no—
1285#41—432no—
1286#41—416no—
1287#41—416no—
1288#41—416no—
1289#41—416no—
1290#41—416no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—42no—
1307C2×Q8—42no—
1308C2×Q8—42no—
1309C2×Q8—416no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—432no—
1404C2×D4—416no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—41no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—41no—
1466C22×C4—42no—
1467C22×C4—41no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—41no—
1473C22×C4—42no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4—432no—
1481C22×C4—416no—
1482C22×C4H(5,𝔽2)14yes—
1483C22×C4H(5,𝔽2)14yes—
1484C22×C4H(5,𝔽2)14yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2514yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2514yes—
1502C22×C4C2512yes—
1503C22×C4C2514yes—
1504C22×C4C2512yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—28no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—24no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—44no—
1573C22⋊C4—41no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—24no—
1648C42—24no—
1649C42—24no—
1650C42—28no—
1651C42—44no—
1652C42—42no—
1653C42—42no—
1654C42—44no—
1655C42—44no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—21no—
1686C23—21no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—48no—
1712C23—44no—
1713C23—82no—
1714C23—82no—
1715C23—82no—
1716C23—84no—
1717C23—84no—
1718C23—84no—
1719C23—84no—
1720C23—84no—
1721C23—84no—
1722C23C2×H(5,𝔽2)12yes—
1723C23C2×H(5,𝔽2)12yes—
1724C23C2×H(5,𝔽2)12yes—
1725C23#58512yes—
1726C23C2611yescharacteristic
1727Q8—48no—
1728Q8—44no—
1729Q8—44no—
1730Q8—44no—
1731Q8—44no—
1732Q8—44no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—48no—
1738D4—48no—
1739D4—48no—
1740D4—48no—
1741D4—44no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—44no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—84no—
1750D4—84no—
1751D4—84no—
1752D4—84no—
1753D4—84no—
1754D4—84no—
1755D4—84no—
1756D4—84no—
1757D4—84no—
1758D4—164no—
1759D4—164no—
1760D4—164no—
1761D4—164no—
1762D4—164no—
1763D4—164no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—24no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—21no—
1827C2×C4—24no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—24no—
1836C2×C4—22no—
1837C2×C4—21no—
1838C2×C4—44no—
1839C2×C4—48no—
1840C2×C4—48no—
1841C2×C4—48no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—48no—
1851C2×C4—48no—
1852C2×C4—84no—
1853C2×C4—84no—
1854C2×C4—82no—
1855C2×C4—82no—
1856C2×C4—84no—
1857C2×C4—84no—
1858C2×C4—82no—
1859C2×C4—84no—
1860C2×C4—84no—
1861C2×C4—164no—
1862C2×C4—164no—
1863C2×C4#560116yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4C2×H(5,𝔽2)12yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4C2×H(5,𝔽2)12yes—
1870C2×C4#58512yes—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—41no—
1889C22—42no—
1890C22—42no—
1891C22—41no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—41no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—41no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—41no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—41no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—41no—
1926C22—88no—
1927C22—816no—
1928C22C2×#56014yes—
1929C22C22×H(5,𝔽2)11yescharacteristic
1930C22C22×H(5,𝔽2)11yescharacteristic
1931C22C22×H(5,𝔽2)11yescharacteristic
1932C22C2×#58511yescharacteristic
1933C22C2×#58511yescharacteristic
1934C22H(7,𝔽2)11yescharacteristic
1935C222−1+611yescharacteristic
1936C4—22no—
1937C4—44no—
1938C4—42no—
1939C4—44no—
1940C4—42no—
1941C4—41no—
1942C4—41no—
1943C4—42no—
1944C4—41no—
1945C4—42no—
1946C4—41no—
1947C4—42no—
1948C4—41no—
1949C4—44no—
1950C4—41no—
1951C4—41no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—44no—
1958C4—41no—
1959C4—41no—
1960C4—42no—
1961C4C2×#56014yes—
1962C4C2×#56014yes—
1963C2—24no—
1964C2—42no—
1965C2—82no—
1966C2—82no—
1967C2—82no—
1968C2—82no—
1969C2—81no—
1970C2—82no—
1971C2C22×#56011yescharacteristic
1972C2#6283011yescharacteristic
1973C2#6287811yescharacteristic
1974C2#6292711yescharacteristic
1975C2#6292711yescharacteristic
1976C2#6293011yescharacteristic
1977C2#6295711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53128C2semidirect
2. #53102C2semidirect
3. #53064C2semidirect
4. #53055C2semidirect
5. #53053C2semidirect
6. #53014C2semidirect
7. #53011C2semidirect
8. #53006C2semidirect
9. #52529C2semidirect
10. #52471C2semidirect
11. #46038C2semidirect
12. #45982C2semidirect
13. #45721C2semidirect
14. #45701C2semidirect
15. #45663C2semidirect
16. #45624C2semidirect
17. #45623C2semidirect
18. #45599C2semidirect
19. #45593C2semidirect
20. #45508C2semidirect
21. #35618C2semidirect
22. #35564C2semidirect
23. #35564C2semidirect
24. #35518C2semidirect
25. #35518C2semidirect
26. #35517C2semidirect
27. #35328C2semidirect
28. #35255C2semidirect
29. #35251C2semidirect
30. #35251C2semidirect
31. #35166C2semidirect
32. #35160C2semidirect
33. C2×#2495C2semidirect
34. #34743C2semidirect
35. #34738C2semidirect
41. C2×#537C22semidirect
42. C2×#537C22semidirect
45. C2×#532C22semidirect
49. C2×#520C22semidirect
50. C2×#520C22semidirect
51. C2×C4×#41C22semidirect
52. #2856C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2852C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
62. #2843C22semidirect
63. #2841C22semidirect
64. #2838C22semidirect
65. #2837C22semidirect
66. #2837C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2828C22semidirect
70. #2828C22semidirect
71. #2828C22semidirect
73. #2827C22semidirect
74. #2826C22semidirect
75. #2826C22semidirect
76. #2825C22semidirect
77. #2824C22semidirect
78. #2818C22semidirect
79. #2815C22semidirect
80. #2813C22semidirect
82. #2807C22semidirect
83. #2803C22semidirect
86. #2796C22semidirect
87. #2795C22semidirect
89. #2780C22semidirect
90. #2778C22semidirect
91. #2757C22semidirect
92. #2757C22semidirect
93. #2757C22semidirect
94. #2756C22semidirect
95. #2756C22semidirect
96. #2756C22semidirect
97. #2756C22semidirect
98. #2752C22semidirect
100. #2749C22semidirect
101. #2749C22semidirect
102. #2749C22semidirect
104. #2742C22semidirect
105. #2737C22semidirect
106. #2737C22semidirect
107. #2737C22semidirect
109. #2714C22semidirect
110. #2703C22semidirect
111. #2703C22semidirect
112. #2699C22semidirect
114. #2693C22semidirect
116. #2688C22semidirect
119. #2673C22semidirect
122. #2656C22semidirect
123. #2643C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
126. #2621C22semidirect
127. #2619C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
134. #2543C22semidirect
135. #2543C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2540C22semidirect
143. #2540C22semidirect
145. #2538C22semidirect
147. #2537C22semidirect
149. #2536C22semidirect
150. #2536C22semidirect
151. #2536C22semidirect
153. #2535C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2514C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
159. #2511C22semidirect
160. #2504C22semidirect
161. #2503C22semidirect
162. #2500C22semidirect
163. #2499C22semidirect
164. #2497C22semidirect
165. #2496C22semidirect
170. #2495C22semidirect
171. #2495C22semidirect
172. #2495C22semidirect
173. #2495C22semidirect
174. #2495C22semidirect
175. #2494C22semidirect
176. #2487C22semidirect
177. #2486C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2446C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2444C22semidirect
186. #2444C22semidirect
187. #2444C22semidirect
188. #2443C22semidirect
189. #2443C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2429C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
211. #2427C22semidirect
212. #2427C22semidirect
213. #2427C22semidirect
215. #2426C22semidirect
216. #2426C22semidirect
217. #2426C22semidirect
218. #2425C22semidirect
219. #2425C22semidirect
220. #2425C22semidirect
221. #2425C22semidirect
226. #2423C22semidirect
227. #2422C22semidirect
228. #2421C22semidirect
229. #2421C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
232. #2420C22semidirect
233. #2420C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
245. #2415C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
264. C2×#400C22semidirect
266. #2392C22semidirect
270. #2383C22semidirect
271. #2380C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
280. #2311C22semidirect
281. #2311C22semidirect
283. C4×#121C22semidirect
288. #2297C22semidirect
289. #2296C22semidirect
290. C2×#389C22semidirect
291. C2×#389C22semidirect
293. C2×#383C22semidirect
294. C2×#382C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#531282
#531022
#530642
#530552
#530532
#530142
#530112
#530062
#525292
#524712
#460382
#459822
#457212
#457012
#456632
#456242
#456232
#455992
#455932
#455082
#356182
#355642
#355182
#355172
#353282
#352552
#352512
#351662
#351602
C2×#24952
#347432
#347382