Finite Group Databasebeta

← #7657484

Subgroups — #7657484

Order 512.

5718 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42588C212yesmaximal, complemented
2#42585C212yesmaximal, complemented
3#42583C212yesmaximal, complemented
4#42579C212yesmaximal, complemented
5#40789C214yesmaximal, complemented
6#40786C214yesmaximal, complemented
7#40785C214yesmaximal, complemented
8#40781C214yesmaximal, complemented
9#39737C211yesmaximal, characteristic, complemented
10#39736C211yesmaximal, characteristic, complemented
11#39505C211yesmaximal, characteristic, complemented
12#39387C211yesmaximal, characteristic, complemented
13#37892C212yesmaximal, complemented
14#37696C212yesmaximal, complemented
15#37665C212yesmaximal, complemented
16#37664C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37494C212yesmaximal, complemented
20#37492C212yesmaximal, complemented
21#36180C211yesmaximal, characteristic, complemented
22D4×#124C211yesmaximal, characteristic, complemented
23D4×C22⋊Q8C211yesmaximal, characteristic, complemented
24D4×#121C211yesmaximal, characteristic
25#35914C212yesmaximal, complemented
26#35903C212yesmaximal, complemented
27#35776C212yesmaximal, complemented
28#35713C212yesmaximal, complemented
29#35277C211yesmaximal, characteristic, complemented
30#35260C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32C2×#2620C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×#542C2212yescomplemented
41C2×#542C2212yescomplemented
42C22×#124C2212yescomplemented
43C22×C22⋊Q8C2212yescomplemented
44C22×#121C2212yes—
45C2×#518C2212yes—
46C22×C4×D4C2211yescharacteristic
47C22×#117C2212yescomplemented
48#2868C2211yescharacteristic, complemented
49#2858C2211yescharacteristic, complemented
50#2857C2211yescharacteristic, complemented
51#2857C2212yescomplemented
52#2856C2211yescharacteristic
53#2850C2212yescomplemented
54#2848C2212yescomplemented
55#2847C2212yes—
56#2837C2214yescomplemented
57#2832C2214yescomplemented
58#2831C2214yescomplemented
59#2830C2214yescomplemented
60#2829C2214yescomplemented
61#2829C2214yescomplemented
62#2795C2214yescomplemented
63#2795C2214yescomplemented
64#2793C2214yescomplemented
65#2790C2214yescomplemented
66#2772C2214yescomplemented
67#2761C2214yescomplemented
68#2741C2214yescomplemented
69#2731C2214yescomplemented
70#2730C2214yescomplemented
71#2718C2214yescomplemented
72#2715C2214yescomplemented
73#2712C2214yescomplemented
74#2710C2214yescomplemented
75#2705C2214yescomplemented
76#2702C2214yescomplemented
77#2701C2214yescomplemented
78#2700C2214yescomplemented
79#2700C2214yescomplemented
80#2692C2214yescomplemented
81#2691C2214yescomplemented
82#2691C2214yescomplemented
83#2687C2214yescomplemented
84#2686C2214yescomplemented
85#2672C2214yescomplemented
86#2665C2214yescomplemented
87#2662C2214yescomplemented
88#2654C2212yescomplemented
89#2653C2212yescomplemented
90#2653C2214yescomplemented
91#2651C2214yescomplemented
92#2651C2214yescomplemented
93#2650C2212yescomplemented
94#2649C2212yescomplemented
95#2647C2211yescharacteristic, complemented
96#2645C2211yescharacteristic, complemented
97#2644C2211yescharacteristic, complemented
98#2644C2212yescomplemented
99#2643C2214yescomplemented
100#2641C2212yescomplemented
101#2640C2211yescharacteristic, complemented
102#2640C2212yescomplemented
103#2639C2214yescomplemented
104#2630C2214yescomplemented
105#2629C2212yescomplemented
106#2628C2211yescharacteristic, complemented
107#2626C2214yescomplemented
108#2625C2211yescharacteristic, complemented
109#2625C2212yescomplemented
110#2624C2211yescharacteristic
111#2624C2212yescomplemented
112#2624C2212yescomplemented
113#2622C2214yescomplemented
114#2620C2212yes—
115#2620C2211yescharacteristic
116#2620C2212yescomplemented
117#2620C2212yescomplemented
118#2620C2212yescomplemented
119#2620C2214yescomplemented
120#2620C2214yescomplemented
121#2620C2214yescomplemented
122#2620C2214yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2591C2214yescomplemented
127#2579C2214yescomplemented
128#2567C2212yescomplemented
129#2566C2212yescomplemented
130#2562C2212yescomplemented
131#2552C2211yescharacteristic, complemented
132#2552C2211yescharacteristic, complemented
133#2552C2212yescomplemented
134#2548C2211yescharacteristic, complemented
135#2548C2212yescomplemented
136#2547C2211yescharacteristic, complemented
137#2542C2211yescharacteristic, complemented
138#2541C2211yescharacteristic
139#2538C2211yescharacteristic, complemented
140#2538C2212yescomplemented
141#2537C2211yescharacteristic
142#2512C2212yescomplemented
143#2512C2212yescomplemented
144#2512C2212yescomplemented
145#2512C2212yescomplemented
146#2512C2212yescomplemented
147#2511C2212yescomplemented
148#2502C2214yescomplemented
149#2500C2212yescomplemented
150#2497C2212yescomplemented
151#2497C2212yescomplemented
152#2497C2212yescomplemented
153#2492C2212yescomplemented
154#2491C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2491C2212yescomplemented
158#2491C2212yescomplemented
159#2491C2212yescomplemented
160#2490C2212yescomplemented
161#2490C2212yescomplemented
162#2485C2212yescomplemented
163#2481C2214yescomplemented
164#2481C2214yescomplemented
165#2481C2214yescomplemented
166#2480C2214yescomplemented
167#2480C2214yescomplemented
168#2480C2214yescomplemented
169#2479C2214yescomplemented
170#2477C2214yescomplemented
171#2474C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2472C2214yescomplemented
178#2470C2214yescomplemented
179#2454C2212yescomplemented
180#2452C2212yescomplemented
181#2452C2212yescomplemented
182#2452C2212yescomplemented
183#2450C2214yescomplemented
184#2449C2214yescomplemented
185#2449C2214yescomplemented
186#2448C2212yescomplemented
187#2447C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2444C2214yescomplemented
191#2443C2214yescomplemented
192#2441C2212yescomplemented
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2440C2214yescomplemented
196#2440C2212yescomplemented
197#2439C2212yescomplemented
198#2437C2214yescomplemented
199#2437C2214yescomplemented
200#2437C2214yescomplemented
201#2436C2212yescomplemented
202#2435C2212yescomplemented
203#2435C2214yescomplemented
204#2428C2212yes—
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2424C2214yes—
210#2423C2212yescomplemented
211#2422C2212yescomplemented
212#2422C2212yescomplemented
213#2422C2212yescomplemented
214#2420C2212yescomplemented
215#2418C2214yescomplemented
216#2418C2214yescomplemented
217#2417C2212yescomplemented
218#2417C2214yescomplemented
219#2416C2212yes—
220#2416C2212yes—
221#2412C2214yescomplemented
222#2410C2214yes—
223#2409C2212yescomplemented
224#2408C2212yes—
225#2405C2214yescomplemented
226#2401C2212yescomplemented
227#2398C2212yescomplemented
228#2396C2212yescomplemented
229#2395C2212yescomplemented
230C2×#396C2214yescomplemented
231C2×#396C2214yescomplemented
232C2×#394C2214yescomplemented
233C2×#394C2214yescomplemented
234#2369C2212yescomplemented
235#2368C2214yescomplemented
236#2366C2211yescharacteristic, complemented
237#2365C2211yescharacteristic, complemented
238#2363C2212yescomplemented
239#2361C2212yescomplemented
240#2360C2212yescomplemented
241#2358C2214yescomplemented
242#2355C2211yescharacteristic, complemented
243#2354C2211yescharacteristic, complemented
244#2354C2211yescharacteristic, complemented
245#2354C2211yescharacteristic, complemented
246#2352C2212yescomplemented
247#2352C2212yescomplemented
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yes—
255#2344C2211yescharacteristic, complemented
256#2344C2211yescharacteristic, complemented
257#2342C2212yescomplemented
258#2342C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2211yescharacteristic
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2211yescharacteristic
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yescomplemented
268#2331C2212yescomplemented
269#2329C2214yescomplemented
270#2326C2212yescomplemented
271#2324C2212yescomplemented
272#2324C2212yescomplemented
273#2323C2212yescomplemented
274#2321C2214yescomplemented
275#2314C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#121C2211yescharacteristic
283C4×#121C2212yescomplemented
284#2295C2211yescharacteristic, complemented
285C2×#391C2212yescomplemented
286#2293C2211yescharacteristic, complemented
287#2293C2211yescharacteristic, complemented
288#2293C2211yescharacteristic, complemented
289C2×#390C2212yescomplemented
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293C2×#384C2212yescomplemented
294#2280C2212yescomplemented
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2314yes—
304C24×C4C2312yes—
305#554—48no—
306D4×Q8—28no—
307D42—28no—
308D42—48no—
309#542—48no—
310#542—48no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#124—48no—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8—48no—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121—48no—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370#518—48no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×D4—28no—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×#117—48no—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2314yes—
417C22×C4⋊C4C2314yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C42C2312yes—
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431#401C2312yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2312yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2312yes—
547#393C2312yes—
548#393C2312yes—
549#392C2314yes—
550#392C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2314yes—
559#391C2314yes—
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2314yes—
598#390C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2314yes—
726#384C2312yes—
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2314yes—
734#382C2312yes—
735#382C2311yescharacteristic
736#382C2312yes—
737#381C2312yes—
738#381C2312yes—
739#381C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2312yes—
767#379C2312yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2311yescharacteristic
816#376C2312yes—
817#376C2311yescharacteristic
818C2×#95C2314yes—
819C2×#95C2314yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2412yes—
823C25C2414yes—
824C22×Q8—28no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C22×Q8C2414yes—
832C22×D4—24no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—28no—
838C22×D4—28no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—48no—
842C22×D4—48no—
843C22×D4—84no—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2411yescharacteristic
858C23×C4—28no—
859C23×C4—28no—
860C23×C4—44no—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C4⋊Q8—28no—
880C4⋊Q8—24no—
881C4⋊Q8—24no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884C4⋊Q8—82no—
885#127—24no—
886#127—44no—
887#126—48no—
888#126—48no—
889#126—84no—
890#125—44no—
891#125—44no—
892#124—24no—
893#124—28no—
894#124—48no—
895#124—48no—
896#124—44no—
897#124—44no—
898#124—44no—
899#124—48no—
900#124—48no—
901#124—84no—
902#123—48no—
903#123—48no—
904#123—84no—
905C22⋊Q8—28no—
906C22⋊Q8—24no—
907C22⋊Q8—28no—
908C22⋊Q8—216no—
909C22⋊Q8—48no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919#121—28no—
920#121—24no—
921#121—28no—
922#121—28no—
923#121—48no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—48no—
931#121—82no—
932#120—216no—
933#120—48no—
934#120—48no—
935C4×Q8—24no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—28no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—48no—
959C4×D4—82no—
960C4×D4#4118yes—
961#117—24no—
962#117—24no—
963#117—28no—
964#117—44no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—44no—
970#117—44no—
971#117—44no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—48no—
978C2×C4⋊C4—48no—
979C2×C4⋊C4—84no—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C22⋊C4—28no—
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4—44no—
1047C2×C22⋊C4—48no—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4—48no—
1050C2×C22⋊C4—48no—
1051C2×C22⋊C4—48no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4—84no—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C42—24no—
1126C2×C42—28no—
1127C2×C42—44no—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—24no—
1218C24—24no—
1219C24—24no—
1220C24—24no—
1221C24—28no—
1222C24—28no—
1223C24—28no—
1224C24—42no—
1225C24—42no—
1226C24—42no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2514yes—
1234C24C2511yescharacteristic
1235C24C2512yes—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—28no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—42no—
1245C2×Q8—44no—
1246C2×Q8—44no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—816no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—416no—
1292C2×D4—432no—
1293C2×D4—816no—
1294C2×D4—832no—
1295C2×D4C2×#4114yes—
1296C2×D4H(5,𝔽2)14yes—
1297C2×D42−1+414yes—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—28no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—432no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4C2×#4118yes—
1352C22×C4H(5,𝔽2)14yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2514yes—
1371C22×C4C2514yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2514yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4C2×#4114yes—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4C2×#4118yes—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—22no—
1526C42—24no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—24no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—42no—
1536C42—42no—
1537C42—41no—
1538C42—41no—
1539C42—44no—
1540C42—41no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42—41no—
1545C42C2×#4114yes—
1546C42H(5,𝔽2)14yes—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—22no—
1558C23—22no—
1559C23—24no—
1560C23—22no—
1561C23—24no—
1562C23—22no—
1563C23—24no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—48no—
1579C23—48no—
1580C23—48no—
1581C23—48no—
1582C23—416no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23C22×#4114yes—
1593C23C2×H(5,𝔽2)12yes—
1594C23C2×H(5,𝔽2)14yes—
1595C23C2×2−1+414yes—
1596C23C2611yescharacteristic
1597Q8—48no—
1598Q8—44no—
1599Q8—84no—
1600Q8—88no—
1601Q8—164no—
1602D4—48no—
1603D4—48no—
1604D4—416no—
1605D4—44no—
1606D4—48no—
1607D4—48no—
1608D4—44no—
1609D4—84no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—164no—
1615D4#542116yescomplemented
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—28no—
1627C2×C4—216no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—82no—
1706C2×C4—88no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—88no—
1710C2×C4—88no—
1711C2×C4—164no—
1712C2×C4—164no—
1713C2×C4C22×#4112yes—
1714C2×C4C22×#4114yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×2−1+412yes—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—44no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—44no—
1757C22—42no—
1758C22—816no—
1759C22—1616no—
1760C22C2×#54218yes—
1761C22C23×#4111yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C22×2−1+411yescharacteristic
1766C22H(7,𝔽2)11yescharacteristic
1767C222−1+611yescharacteristic
1768C4—22no—
1769C4—24no—
1770C4—22no—
1771C4—22no—
1772C4—22no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—42no—
1777C4—41no—
1778C4—42no—
1779C4—42no—
1780C4—44no—
1781C4—44no—
1782C4—41no—
1783C4—41no—
1784C4—42no—
1785C4—41no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—41no—
1792C4—41no—
1793C4—42no—
1794C4—42no—
1795C4—41no—
1796C4C2×#54214yes—
1797C4#351914yes—
1798C2—28no—
1799C2—42no—
1800C2—82no—
1801C2—84no—
1802C2—82no—
1803C2C22×#54211yescharacteristic
1804C2C2×#351911yescharacteristic
1805C2#6285711yescharacteristic
1806C2#6291211yescharacteristic
1807C2#6291411yescharacteristic
1808C2#6294211yescharacteristic
1809C2#6294411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42588C2semidirect
2. #42585C2semidirect
3. #42583C2semidirect
4. #42579C2semidirect
5. #40789C2semidirect
6. #40786C2semidirect
7. #40785C2semidirect
8. #40781C2semidirect
9. #39737C2semidirect
10. #39736C2semidirect
11. #39505C2semidirect
12. #39387C2semidirect
13. #37892C2semidirect
14. #37696C2semidirect
15. #37665C2semidirect
16. #37664C2semidirect
17. #37627C2semidirect
18. #37625C2semidirect
19. #37494C2semidirect
20. #37492C2semidirect
21. #36180C2semidirect
22. D4×#124C2semidirect
23. D4×C22⋊Q8C2semidirect
25. #35914C2semidirect
26. #35903C2semidirect
27. #35776C2semidirect
28. #35713C2semidirect
29. #35277C2semidirect
30. #35260C2semidirect
31. #34619C2semidirect
32. C2×#2620C2semidirect
33. #34334C2semidirect
34. #34310C2semidirect
35. D4×#117C2semidirect
40. C2×#542C22semidirect
41. C2×#542C22semidirect
42. C22×#124C22semidirect
43. C22×C22⋊Q8C22semidirect
47. C22×#117C22semidirect
48. #2868C22semidirect
49. #2858C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2850C22semidirect
54. #2848C22semidirect
56. #2837C22semidirect
57. #2832C22semidirect
58. #2831C22semidirect
59. #2830C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2795C22semidirect
63. #2795C22semidirect
64. #2793C22semidirect
65. #2790C22semidirect
66. #2772C22semidirect
67. #2761C22semidirect
68. #2741C22semidirect
69. #2731C22semidirect
70. #2730C22semidirect
71. #2718C22semidirect
72. #2715C22semidirect
73. #2712C22semidirect
74. #2710C22semidirect
75. #2705C22semidirect
76. #2702C22semidirect
77. #2701C22semidirect
78. #2700C22semidirect
79. #2700C22semidirect
80. #2692C22semidirect
81. #2691C22semidirect
82. #2691C22semidirect
83. #2687C22semidirect
84. #2686C22semidirect
85. #2672C22semidirect
86. #2665C22semidirect
87. #2662C22semidirect
88. #2654C22semidirect
89. #2653C22semidirect
90. #2653C22semidirect
91. #2651C22semidirect
92. #2651C22semidirect
93. #2650C22semidirect
94. #2649C22semidirect
95. #2647C22semidirect
96. #2645C22semidirect
97. #2644C22semidirect
98. #2644C22semidirect
99. #2643C22semidirect
100. #2641C22semidirect
101. #2640C22semidirect
102. #2640C22semidirect
103. #2639C22semidirect
104. #2630C22semidirect
105. #2629C22semidirect
106. #2628C22semidirect
107. #2626C22semidirect
108. #2625C22semidirect
109. #2625C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2622C22semidirect
116. #2620C22semidirect
117. #2620C22semidirect
118. #2620C22semidirect
119. #2620C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2591C22semidirect
127. #2579C22semidirect
128. #2567C22semidirect
129. #2566C22semidirect
130. #2562C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
133. #2552C22semidirect
134. #2548C22semidirect
135. #2548C22semidirect
136. #2547C22semidirect
137. #2542C22semidirect
139. #2538C22semidirect
140. #2538C22semidirect
142. #2512C22semidirect
143. #2512C22semidirect
144. #2512C22semidirect
145. #2512C22semidirect
146. #2512C22semidirect
147. #2511C22semidirect
148. #2502C22semidirect
149. #2500C22semidirect
150. #2497C22semidirect
151. #2497C22semidirect
152. #2497C22semidirect
153. #2492C22semidirect
154. #2491C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2491C22semidirect
160. #2490C22semidirect
161. #2490C22semidirect
162. #2485C22semidirect
163. #2481C22semidirect
164. #2481C22semidirect
165. #2481C22semidirect
166. #2480C22semidirect
167. #2480C22semidirect
168. #2480C22semidirect
169. #2479C22semidirect
170. #2477C22semidirect
171. #2474C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2470C22semidirect
179. #2454C22semidirect
180. #2452C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
183. #2450C22semidirect
184. #2449C22semidirect
185. #2449C22semidirect
186. #2448C22semidirect
187. #2447C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2444C22semidirect
191. #2443C22semidirect
192. #2441C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2439C22semidirect
198. #2437C22semidirect
199. #2437C22semidirect
200. #2437C22semidirect
201. #2436C22semidirect
202. #2435C22semidirect
203. #2435C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
210. #2423C22semidirect
211. #2422C22semidirect
212. #2422C22semidirect
213. #2422C22semidirect
214. #2420C22semidirect
215. #2418C22semidirect
216. #2418C22semidirect
217. #2417C22semidirect
218. #2417C22semidirect
221. #2412C22semidirect
223. #2409C22semidirect
225. #2405C22semidirect
226. #2401C22semidirect
227. #2398C22semidirect
228. #2396C22semidirect
229. #2395C22semidirect
230. C2×#396C22semidirect
231. C2×#396C22semidirect
232. C2×#394C22semidirect
233. C2×#394C22semidirect
234. #2369C22semidirect
235. #2368C22semidirect
236. #2366C22semidirect
237. #2365C22semidirect
238. #2363C22semidirect
239. #2361C22semidirect
240. #2360C22semidirect
241. #2358C22semidirect
242. #2355C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2352C22semidirect
247. #2352C22semidirect
255. #2344C22semidirect
256. #2344C22semidirect
257. #2342C22semidirect
258. #2342C22semidirect
259. Q8×C22⋊C4C22semidirect
267. D4×C22⋊C4C22semidirect
268. #2331C22semidirect
269. #2329C22semidirect
270. #2326C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2321C22semidirect
275. #2314C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
283. C4×#121C22semidirect
284. #2295C22semidirect
285. C2×#391C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. C2×#390C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
292. #2285C22semidirect
293. C2×#384C22semidirect
294. #2280C22semidirect
298. C4×#117C22semidirect
1615. D4#542semidirect

Maximal subgroups

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

subgroupindex
#425882
#425852
#425832
#425792
#407892
#407862
#407852
#407812
#397372
#397362
#395052
#393872
#378922
#376962
#376652
#376642
#376272
#376252
#374942
#374922
#361802
D4×#1242
D4×C22⋊Q82
D4×#1212
#359142
#359032
#357762
#357132
#352772
#352602
#346192
C2×#26202
#343342
#343102
D4×#1172