Finite Group Databasebeta

← #8424458

Subgroups — #8424458

Order 512.

5246 conjugacy classes of subgroups.

The subgroup lattice has 1809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59817C211yesmaximal, characteristic, complemented
2#59637C212yesmaximal, complemented
3#59302C211yesmaximal, characteristic, complemented
4#59219C211yesmaximal, characteristic, complemented
5#58998C212yesmaximal, complemented
6#55053C214yesmaximal, complemented
7#54941C214yesmaximal, complemented
8#53136C212yesmaximal, complemented
9#53099C212yesmaximal, complemented
10#53007C212yesmaximal, complemented
11#52974C212yesmaximal, complemented
12#52473C214yesmaximal, complemented
13#42862C212yesmaximal, complemented
14#42786C212yesmaximal, complemented
15#42556C212yesmaximal, complemented
16#42496C212yesmaximal, complemented
17#40789C214yesmaximal, complemented
18#39623C212yesmaximal, complemented
19#39596C211yesmaximal, characteristic, complemented
20#39343C211yesmaximal, characteristic, complemented
21#39192C211yesmaximal, characteristic, complemented
22#39154C212yesmaximal, complemented
23#38975C211yesmaximal, characteristic, complemented
24#38110C212yesmaximal, complemented
25#37651C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37628C211yesmaximal, characteristic, complemented
28#37505C212yesmaximal, complemented
29#37442C212yesmaximal, complemented
30Q8×#121C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32D4×C22⋊Q8C211yesmaximal, characteristic, complemented
33C2×#2538C211yesmaximal, characteristic, complemented
34#34691C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic
36C2×D4×Q8C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2212yescomplemented
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#536C2212yescomplemented
41C2×#533C2211yescharacteristic, complemented
42C2×#532C2211yescharacteristic
43C2×#525C2212yes—
44C22×C22⋊Q8C2212yes—
45C22×C22⋊Q8C2212yes—
46C22×C4×Q8C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2859C2211yescharacteristic, complemented
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2211yescharacteristic, complemented
52#2848C2212yes—
53#2841C2214yescomplemented
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2836C2214yescomplemented
59#2831C2214yescomplemented
60#2830C2214yescomplemented
61#2827C2214yescomplemented
62#2823C2214yescomplemented
63#2820C2214yescomplemented
64#2814C2214yescomplemented
65#2814C2214yescomplemented
66#2814C2214yescomplemented
67#2806C2214yescomplemented
68#2797C2214yes—
69#2796C2214yes—
70#2793C2214yescomplemented
71#2792C2214yescomplemented
72#2792C2214yescomplemented
73#2790C2214yescomplemented
74#2788C2214yescomplemented
75#2787C2214yescomplemented
76#2786C2214yescomplemented
77#2772C2214yescomplemented
78#2765C2214yescomplemented
79#2761C2214yescomplemented
80#2752C2214yes—
81#2751C2214yes—
82#2734C2214yescomplemented
83#2731C2214yescomplemented
84#2730C2214yes—
85#2729C2214yescomplemented
86#2725C2214yescomplemented
87#2720C2214yescomplemented
88#2715C2214yescomplemented
89#2715C2214yescomplemented
90#2707C2214yescomplemented
91#2705C2214yes—
92#2705C2214yescomplemented
93#2695C2214yescomplemented
94#2692C2214yescomplemented
95#2683C2214yescomplemented
96#2683C2214yescomplemented
97#2681C2214yescomplemented
98#2680C2214yescomplemented
99#2677C2214yescomplemented
100#2677C2214yescomplemented
101#2674C2214yescomplemented
102#2674C2214yescomplemented
103#2672C2214yescomplemented
104#2665C2214yescomplemented
105#2663C2214yescomplemented
106#2659C2214yes—
107#2654C2214yescomplemented
108#2652C2214yescomplemented
109#2647C2212yescomplemented
110#2644C2212yes—
111#2644C2212yescomplemented
112#2643C2214yes—
113#2639C2214yes—
114#2630C2214yescomplemented
115#2628C2212yescomplemented
116#2627C2214yescomplemented
117#2625C2212yescomplemented
118#2625C2212yescomplemented
119#2624C2212yes—
120#2624C2212yescomplemented
121#2621C2212yescomplemented
122#2620C2214yescomplemented
123#2618C2214yescomplemented
124#2616C2212yescomplemented
125#2616C2212yescomplemented
126#2616C2212yescomplemented
127#2602C2214yes—
128#2580C2212yes—
129#2571C2211yescharacteristic, complemented
130#2570C2212yescomplemented
131#2570C2212yescomplemented
132#2567C2212yescomplemented
133#2567C2212yescomplemented
134#2557C2214yes—
135#2551C2212yescomplemented
136#2551C2212yescomplemented
137#2548C2212yes—
138#2547C2212yescomplemented
139#2546C2212yescomplemented
140#2546C2211yescharacteristic, complemented
141#2542C2211yescharacteristic
142#2542C2212yescomplemented
143#2542C2212yescomplemented
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2214yes—
148#2538C2212yes—
149#2538C2211yescharacteristic
150#2538C2212yes—
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic
153#2538C2212yes—
154#2538C2211yescharacteristic, complemented
155#2538C2211yescharacteristic, complemented
156#2538C2212yescomplemented
157#2538C2212yescomplemented
158#2536C2212yescomplemented
159#2513C2212yes—
160#2513C2212yes—
161#2512C2212yes—
162#2512C2212yescomplemented
163#2511C2212yescomplemented
164#2509C2212yescomplemented
165#2507C2212yescomplemented
166#2507C2212yescomplemented
167#2507C2212yescomplemented
168#2507C2212yescomplemented
169#2507C2212yescomplemented
170#2504C2212yes—
171#2499C2212yescomplemented
172#2497C2212yescomplemented
173#2496C2212yescomplemented
174#2496C2212yescomplemented
175#2494C2212yescomplemented
176#2494C2212yescomplemented
177#2492C2212yescomplemented
178#2491C2212yes—
179#2487C2212yes—
180#2486C2212yescomplemented
181#2486C2212yescomplemented
182#2485C2212yescomplemented
183#2481C2214yes—
184#2480C2214yes—
185#2473C2212yes—
186#2472C2214yes—
187#2472C2214yes—
188#2472C2212yes—
189#2470C2214yescomplemented
190#2465C2212yescomplemented
191#2464C2212yes—
192#2462C2212yescomplemented
193#2461C2212yes—
194#2452C2211yescharacteristic
195#2452C2212yes—
196#2452C2212yes—
197#2452C2214yescomplemented
198#2452C2212yescomplemented
199#2451C2211yescharacteristic, complemented
200#2449C2214yes—
201#2449C2212yes—
202#2449C2214yes—
203#2449C2214yescomplemented
204#2446C2211yescharacteristic, complemented
205#2445C2212yes—
206#2445C2211yescharacteristic
207#2445C2212yes—
208#2443C2214yes—
209#2442C2212yes—
210#2441C2212yescomplemented
211#2440C2214yes—
212#2440C2214yes—
213#2440C2211yescharacteristic
214#2440C2212yes—
215#2440C2211yescharacteristic
216#2440C2214yescomplemented
217#2437C2214yes—
218#2437C2214yes—
219#2434C2211yescharacteristic
220#2434C2212yescomplemented
221#2433C2211yescharacteristic
222#2429C2214yescomplemented
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2211yescharacteristic, complemented
227#2428C2211yescharacteristic
228#2424C2212yes—
229#2423C2211yescharacteristic, complemented
230#2423C2212yescomplemented
231#2422C2212yes—
232#2422C2211yescharacteristic
233#2422C2212yescomplemented
234#2421C2212yescomplemented
235#2418C2214yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2211yescharacteristic
239#2417C2212yes—
240#2417C2212yes—
241#2417C2214yes—
242#2417C2212yescomplemented
243#2416C2211yescharacteristic
244#2415C2212yescomplemented
245#2415C2212yescomplemented
246#2412C2214yes—
247#2412C2214yes—
248#2409C2211yescharacteristic
249#2409C2212yes—
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2409C2212yescomplemented
254#2408C2211yescharacteristic
255#2399C2212yescomplemented
256#2396C2212yescomplemented
257#2392C2212yes—
258C2×#396C2214yes—
259#2388C2212yes—
260#2366C2212yes—
261#2360C2212yes—
262#2360C2212yescomplemented
263#2358C2214yes—
264#2357C2212yes—
265#2355C2211yescharacteristic, complemented
266#2354C2211yescharacteristic, complemented
267#2352C2212yes—
268#2352C2212yes—
269Q8×C4⋊C4C2211yescharacteristic, complemented
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272#2345C2212yes—
273#2345C2212yes—
274Q8×C22⋊C4C2212yescomplemented
275D4×C22⋊C4C2212yes—
276#2329C2214yes—
277#2324C2212yes—
278#2323C2212yescomplemented
279#2319C2212yes—
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#120C2212yes—
290#2295C2211yescharacteristic, complemented
291#2293C2211yescharacteristic
292C2×#390C2212yes—
293C2×#389C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic, complemented
296C2×#384C2211yescharacteristic
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2311yescharacteristic
301C23×Q8C2312yes—
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305D4×Q8—44no—
306D4×Q8—44no—
307D4×Q8—48no—
308D4×Q8—48no—
309#536—48no—
310#533—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2314yes—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332#525—48no—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8—48no—
340C2×C22⋊Q8—48no—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2312yes—
382C2×C4×Q8—44no—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×D4—44no—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2314yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2314yes—
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2312yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2314yes—
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2312yes—
434#401C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2312yes—
451#399C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#398C2312yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2314yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2312yes—
520#396C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2312yes—
531#395C2312yes—
532#395C2312yes—
533#395C2312yes—
534#395C2312yes—
535#395C2312yes—
536#395C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2314yes—
541#394C2312yes—
542#394C2314yes—
543#394C2312yes—
544#394C2314yes—
545#394C2312yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2312yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2312yes—
561#393C2314yes—
562#393C2312yes—
563#393C2314yes—
564#392C2312yes—
565#392C2312yes—
566#392C2312yes—
567#392C2312yes—
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2311yescharacteristic
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2312yes—
575#391C2314yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2312yes—
673#388C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2314yes—
741#384C2314yes—
742#384C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2312yes—
748#384C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#381C2314yes—
755#381C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#379C2314yes—
785#379C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8—24no—
827C22×Q8—28no—
828C22×Q8—24no—
829C22×Q8—42no—
830C22×Q8—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×Q8C2414yes—
842C22×Q8C2414yes—
843C22×Q8C2412yes—
844C22×D4—24no—
845C22×D4—24no—
846C22×D4—42no—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C23×C4—28no—
861C23×C4—44no—
862C23×C4—44no—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C4⋊Q8—24no—
882C4⋊Q8—24no—
883C4⋊Q8—42no—
884C4⋊Q8—42no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—42no—
888C4⋊Q8—44no—
889C4⋊Q8—48no—
890C4⋊Q8—48no—
891C4⋊Q8—48no—
892#127—24no—
893#127—42no—
894#126—84no—
895#126—84no—
896#125—44no—
897#125—82no—
898#124—44no—
899#124—48no—
900#124—84no—
901#123—44no—
902#123—44no—
903#123—48no—
904#123—48no—
905#123—84no—
906#123—84no—
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909C22⋊Q8—24no—
910C22⋊Q8—24no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—48no—
914C22⋊Q8—44no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—42no—
931C22⋊Q8—42no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938#121—24no—
939#121—24no—
940#121—44no—
941#121—44no—
942#121—42no—
943#121—42no—
944#121—44no—
945#120—28no—
946#120—44no—
947#120—44no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—42no—
955C4×Q8—42no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×D4—28no—
959C4×D4—24no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—44no—
967C4×D4—42no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—48no—
977C4×D4—48no—
978#117—44no—
979#117—44no—
980#117—44no—
981#117—82no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—42no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—42no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—48no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—48no—
990C2×C4⋊C4—82no—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4—48no—
1071C2×C22⋊C4—48no—
1072C2×C22⋊C4—84no—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C42—24no—
1133C2×C42—24no—
1134C2×C42—44no—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24—24no—
1221C24—24no—
1222C24—24no—
1223C24—24no—
1224C24—42no—
1225C24—42no—
1226C24—42no—
1227C24C2512yes—
1228C24C2511yescharacteristic
1229C24C2512yes—
1230C24C2512yes—
1231C24C2511yescharacteristic
1232#41—816no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—28no—
1247C2×Q8—24no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—44no—
1251C2×Q8—42no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—42no—
1257C2×Q8—42no—
1258C2×Q8—42no—
1259C2×Q8—416no—
1260C2×Q8—816no—
1261C2×Q8—816no—
1262C2×Q8H(5,𝔽2)14yes—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—416no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D42−1+414yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—28no—
1334C22×C4—24no—
1335C22×C4—42no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—816no—
1356C22×C4H(5,𝔽2)14yes—
1357C22×C42−1+414yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2514yes—
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2514yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—28no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—28no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—22no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—22no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—22no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C42−1+414yes—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—24no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—22no—
1541C42—42no—
1542C42—42no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—41no—
1548C42—44no—
1549C42H(5,𝔽2)14yes—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—48no—
1582C23—48no—
1583C23—48no—
1584C23—48no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23C2×H(5,𝔽2)12yes—
1589C23C2×2−1+414yes—
1590C23C2×2−1+412yes—
1591C23C2×2−1+412yes—
1592C23C2611yescharacteristic
1593Q8—28no—
1594Q8—48no—
1595Q8—44no—
1596Q8—44no—
1597Q8—48no—
1598Q8—84no—
1599Q8—88no—
1600Q8—88no—
1601Q8—84no—
1602D4—28no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607D4—44no—
1608D4—44no—
1609D4—84no—
1610D4—84no—
1611D4—84no—
1612D4—84no—
1613D4—84no—
1614D4—84no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—28no—
1628C2×C4—28no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—48no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—84no—
1704C2×C4—84no—
1705C2×C4—88no—
1706C2×C4—88no—
1707C2×C4—88no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—88no—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)14yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4C2×2−1+412yes—
1720C2×C4C2×2−1+412yes—
1721C2×C4C2×2−1+412yes—
1722C2×C4C2×2−1+412yes—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—41no—
1739C22—41no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—41no—
1749C22—42no—
1750C22—42no—
1751C22—41no—
1752C22—41no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—816no—
1758C22#355014yes—
1759C22C22×H(5,𝔽2)11yescharacteristic
1760C22C22×H(5,𝔽2)11yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C22×2−1+411yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C22×2−1+411yescharacteristic
1765C22H(7,𝔽2)11yescharacteristic
1766C4—22no—
1767C4—24no—
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—22no—
1772C4—42no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—44no—
1779C4—41no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4—41no—
1784C4—44no—
1785C4—44no—
1786C4—41no—
1787C4—42no—
1788C4—44no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—41no—
1793C4—42no—
1794C4#353714yes—
1795C4#353814yes—
1796C2—24no—
1797C2—44no—
1798C2—82no—
1799C2—81no—
1800C2—82no—
1801C2C2×#353711yescharacteristic
1802C2C2×#353811yescharacteristic
1803C2C2×#355011yescharacteristic
1804C2#6291711yescharacteristic
1805C2#6294411yescharacteristic
1806C2#6294411yescharacteristic
1807C2#6301611yescharacteristic
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. #59817C2semidirect
2. #59637C2semidirect
3. #59302C2semidirect
4. #59219C2semidirect
5. #58998C2semidirect
6. #55053C2semidirect
7. #54941C2semidirect
8. #53136C2semidirect
9. #53099C2semidirect
10. #53007C2semidirect
11. #52974C2semidirect
12. #52473C2semidirect
13. #42862C2semidirect
14. #42786C2semidirect
15. #42556C2semidirect
16. #42496C2semidirect
17. #40789C2semidirect
18. #39623C2semidirect
19. #39596C2semidirect
20. #39343C2semidirect
21. #39192C2semidirect
22. #39154C2semidirect
23. #38975C2semidirect
24. #38110C2semidirect
25. #37651C2semidirect
26. #37640C2semidirect
27. #37628C2semidirect
28. #37505C2semidirect
29. #37442C2semidirect
30. Q8×#121C2semidirect
31. #36189C2semidirect
32. D4×C22⋊Q8C2semidirect
33. C2×#2538C2semidirect
34. #34691C2semidirect
38. C2×D4×Q8C22semidirect
39. C2×D4×Q8C22semidirect
40. C2×#536C22semidirect
41. C2×#533C22semidirect
48. #2859C22semidirect
51. #2857C22semidirect
53. #2841C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2836C22semidirect
59. #2831C22semidirect
60. #2830C22semidirect
61. #2827C22semidirect
62. #2823C22semidirect
63. #2820C22semidirect
64. #2814C22semidirect
65. #2814C22semidirect
66. #2814C22semidirect
67. #2806C22semidirect
70. #2793C22semidirect
71. #2792C22semidirect
72. #2792C22semidirect
73. #2790C22semidirect
74. #2788C22semidirect
75. #2787C22semidirect
76. #2786C22semidirect
77. #2772C22semidirect
78. #2765C22semidirect
79. #2761C22semidirect
82. #2734C22semidirect
83. #2731C22semidirect
85. #2729C22semidirect
86. #2725C22semidirect
87. #2720C22semidirect
88. #2715C22semidirect
89. #2715C22semidirect
90. #2707C22semidirect
92. #2705C22semidirect
93. #2695C22semidirect
94. #2692C22semidirect
95. #2683C22semidirect
96. #2683C22semidirect
97. #2681C22semidirect
98. #2680C22semidirect
99. #2677C22semidirect
100. #2677C22semidirect
101. #2674C22semidirect
102. #2674C22semidirect
103. #2672C22semidirect
104. #2665C22semidirect
105. #2663C22semidirect
107. #2654C22semidirect
108. #2652C22semidirect
109. #2647C22semidirect
111. #2644C22semidirect
114. #2630C22semidirect
115. #2628C22semidirect
116. #2627C22semidirect
117. #2625C22semidirect
118. #2625C22semidirect
120. #2624C22semidirect
121. #2621C22semidirect
122. #2620C22semidirect
123. #2618C22semidirect
124. #2616C22semidirect
125. #2616C22semidirect
126. #2616C22semidirect
129. #2571C22semidirect
130. #2570C22semidirect
131. #2570C22semidirect
132. #2567C22semidirect
133. #2567C22semidirect
135. #2551C22semidirect
136. #2551C22semidirect
138. #2547C22semidirect
139. #2546C22semidirect
140. #2546C22semidirect
142. #2542C22semidirect
143. #2542C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
156. #2538C22semidirect
157. #2538C22semidirect
158. #2536C22semidirect
162. #2512C22semidirect
163. #2511C22semidirect
164. #2509C22semidirect
165. #2507C22semidirect
166. #2507C22semidirect
167. #2507C22semidirect
168. #2507C22semidirect
169. #2507C22semidirect
171. #2499C22semidirect
172. #2497C22semidirect
173. #2496C22semidirect
174. #2496C22semidirect
175. #2494C22semidirect
176. #2494C22semidirect
177. #2492C22semidirect
180. #2486C22semidirect
181. #2486C22semidirect
182. #2485C22semidirect
189. #2470C22semidirect
190. #2465C22semidirect
192. #2462C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2451C22semidirect
203. #2449C22semidirect
204. #2446C22semidirect
210. #2441C22semidirect
216. #2440C22semidirect
220. #2434C22semidirect
222. #2429C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
229. #2423C22semidirect
230. #2423C22semidirect
233. #2422C22semidirect
234. #2421C22semidirect
242. #2417C22semidirect
244. #2415C22semidirect
245. #2415C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
253. #2409C22semidirect
255. #2399C22semidirect
256. #2396C22semidirect
262. #2360C22semidirect
265. #2355C22semidirect
266. #2354C22semidirect
269. Q8×C4⋊C4C22semidirect
274. Q8×C22⋊C4C22semidirect
278. #2323C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
290. #2295C22semidirect
295. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#598172
#596372
#593022
#592192
#589982
#550532
#549412
#531362
#530992
#530072
#529742
#524732
#428622
#427862
#425562
#424962
#407892
#396232
#395962
#393432
#391922
#391542
#389752
#381102
#376512
#376402
#376282
#375052
#374422
Q8×#1212
#361892
D4×C22⋊Q82
C2×#25382
#346912
#346812