Finite Group Databasebeta

← #8424436

Subgroups — #8424436

Order 512.

5828 conjugacy classes of subgroups.

The subgroup lattice has 1917 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59678C211yesmaximal, characteristic, complemented
2#59131C212yesmaximal, complemented
3#59125C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#59013C212yesmaximal, complemented
6#53614C214yesmaximal, complemented
7#53506C214yesmaximal, complemented
8#53088C212yesmaximal, complemented
9#53066C212yesmaximal, complemented
10#52967C212yesmaximal, complemented
11#52963C212yesmaximal, complemented
12#52471C214yesmaximal, complemented
13#42989C212yesmaximal, complemented
14#42634C212yesmaximal, complemented
15#42619C212yesmaximal, complemented
16#42435C212yesmaximal, complemented
17#40762C214yesmaximal, complemented
18#39743C212yesmaximal, complemented
19#39471C211yesmaximal, characteristic, complemented
20#39362C211yesmaximal, characteristic, complemented
21#39202C211yesmaximal, characteristic, complemented
22#39146C211yesmaximal, characteristic, complemented
23#39144C212yesmaximal, complemented
24#37836C212yesmaximal, complemented
25#37677C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37618C211yesmaximal, characteristic, complemented
28#37494C212yesmaximal, complemented
29#37439C212yesmaximal, complemented
30#36596C211yesmaximal, characteristic, complemented
31#36122C211yesmaximal, characteristic, complemented
32D4×#121C211yesmaximal, characteristic, complemented
33C2×#2547C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#548C2212yescomplemented
38C2×#548C2212yescomplemented
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2212yes—
41C2×D42C2212yes—
42C2×D42C2211yescharacteristic
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic, complemented
46C22×C4⋊Q8C2211yescharacteristic, complemented
47C22×#124C2212yes—
48C2×#525C2212yescomplemented
49C22×#121C2212yes—
50C22×C4×D4C2211yescharacteristic
51#2858C2211yescharacteristic, complemented
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2847C2212yes—
56#2837C2214yescomplemented
57#2832C2214yescomplemented
58#2831C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2827C2214yescomplemented
63#2827C2214yescomplemented
64#2826C2214yescomplemented
65#2825C2214yescomplemented
66#2815C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2812C2214yescomplemented
70#2797C2214yescomplemented
71#2797C2214yescomplemented
72#2796C2214yescomplemented
73#2780C2214yescomplemented
74#2779C2214yescomplemented
75#2778C2214yescomplemented
76#2778C2214yescomplemented
77#2770C2214yescomplemented
78#2752C2214yescomplemented
79#2746C2214yescomplemented
80#2736C2214yescomplemented
81#2735C2214yescomplemented
82#2733C2214yescomplemented
83#2732C2214yescomplemented
84#2730C2214yescomplemented
85#2730C2214yescomplemented
86#2710C2214yescomplemented
87#2708C2214yescomplemented
88#2708C2214yescomplemented
89#2705C2214yescomplemented
90#2703C2214yescomplemented
91#2703C2214yescomplemented
92#2702C2214yescomplemented
93#2693C2214yescomplemented
94#2691C2214yescomplemented
95#2688C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2674C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yescomplemented
103#2670C2214yescomplemented
104#2670C2214yescomplemented
105#2670C2214yescomplemented
106#2668C2214yescomplemented
107#2665C2214yescomplemented
108#2657C2212yescomplemented
109#2656C2214yescomplemented
110#2653C2214yescomplemented
111#2653C2214yescomplemented
112#2651C2214yescomplemented
113#2645C2212yescomplemented
114#2643C2214yescomplemented
115#2640C2212yescomplemented
116#2639C2214yescomplemented
117#2631C2214yescomplemented
118#2629C2212yescomplemented
119#2626C2214yescomplemented
120#2625C2212yescomplemented
121#2624C2212yescomplemented
122#2624C2212yescomplemented
123#2622C2214yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2617C2214yescomplemented
127#2615C2212yescomplemented
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2597C2214yescomplemented
131#2562C2212yescomplemented
132#2562C2212yescomplemented
133#2555C2214yescomplemented
134#2554C2214yescomplemented
135#2552C2211yescharacteristic, complemented
136#2548C2212yescomplemented
137#2547C2211yescharacteristic
138#2547C2212yes—
139#2547C2211yescharacteristic
140#2547C2214yescomplemented
141#2547C2211yescharacteristic, complemented
142#2547C2211yescharacteristic, complemented
143#2547C2212yescomplemented
144#2547C2212yescomplemented
145#2547C2212yescomplemented
146#2547C2211yescharacteristic, complemented
147#2545C2212yescomplemented
148#2544C2212yes—
149#2544C2212yescomplemented
150#2543C2214yescomplemented
151#2543C2214yescomplemented
152#2543C2214yescomplemented
153#2542C2211yescharacteristic, complemented
154#2541C2211yescharacteristic
155#2541C2211yescharacteristic, complemented
156#2540C2212yescomplemented
157#2537C2211yescharacteristic
158#2537C2212yescomplemented
159#2535C2212yescomplemented
160#2535C2212yescomplemented
161#2525C2212yescomplemented
162#2516C2212yescomplemented
163#2513C2211yescharacteristic, complemented
164#2512C2212yescomplemented
165#2511C2212yescomplemented
166#2510C2212yescomplemented
167#2509C2211yescharacteristic, complemented
168#2504C2211yescharacteristic
169#2497C2212yescomplemented
170#2494C2212yescomplemented
171#2494C2211yescharacteristic, complemented
172#2492C2212yescomplemented
173#2491C2212yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2490C2212yescomplemented
177#2490C2212yescomplemented
178#2490C2212yescomplemented
179#2490C2211yescharacteristic, complemented
180#2487C2212yescomplemented
181#2487C2212yescomplemented
182#2487C2212yescomplemented
183#2487C2211yescharacteristic, complemented
184#2485C2212yescomplemented
185#2480C2214yescomplemented
186#2472C2212yescomplemented
187#2472C2214yescomplemented
188#2464C2212yescomplemented
189#2461C2212yescomplemented
190#2452C2211yescharacteristic
191#2452C2212yescomplemented
192#2452C2212yescomplemented
193#2450C2214yescomplemented
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2447C2212yescomplemented
197#2445C2211yescharacteristic, complemented
198#2445C2212yescomplemented
199#2444C2214yescomplemented
200#2444C2212yescomplemented
201#2443C2214yescomplemented
202#2442C2212yescomplemented
203#2442C2211yescharacteristic, complemented
204#2440C2211yescharacteristic, complemented
205#2440C2212yescomplemented
206#2436C2212yescomplemented
207#2435C2212yes—
208#2435C2212yes—
209#2433C2211yescharacteristic
210#2432C2212yescomplemented
211#2432C2212yescomplemented
212#2431C2212yescomplemented
213#2431C2212yescomplemented
214#2431C2212yescomplemented
215#2431C2212yescomplemented
216#2429C2212yescomplemented
217#2428C2212yes—
218#2428C2211yescharacteristic
219#2427C2212yes—
220#2427C2212yescomplemented
221#2426C2212yescomplemented
222#2424C2214yes—
223#2424C2214yescomplemented
224#2424C2214yescomplemented
225#2424C2212yescomplemented
226#2424C2214yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2422C2211yescharacteristic, complemented
230#2422C2212yescomplemented
231#2420C2212yescomplemented
232#2418C2214yescomplemented
233#2418C2214yescomplemented
234#2416C2211yescharacteristic
235#2416C2212yes—
236#2416C2212yes—
237#2416C2212yes—
238#2416C2212yescomplemented
239#2416C2212yescomplemented
240#2416C2212yescomplemented
241#2416C2211yescharacteristic, complemented
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2414C2212yescomplemented
245#2412C2214yescomplemented
246#2410C2214yes—
247#2410C2214yescomplemented
248#2410C2214yescomplemented
249#2410C2214yescomplemented
250#2409C2212yescomplemented
251#2408C2211yescharacteristic
252#2408C2212yes—
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2401C2212yescomplemented
259#2395C2212yescomplemented
260#2392C2212yescomplemented
261C2×#397C2214yescomplemented
262#2388C2212yescomplemented
263#2367C2212yes—
264#2366C2211yescharacteristic, complemented
265#2365C2211yescharacteristic, complemented
266#2363C2212yescomplemented
267#2361C2212yescomplemented
268#2361C2212yescomplemented
269#2354C2211yescharacteristic, complemented
270#2352C2212yescomplemented
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2212yescomplemented
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2214yescomplemented
275D4×C22⋊C4C2212yescomplemented
276#2326C2212yes—
277#2325C2214yescomplemented
278#2324C2212yescomplemented
279#2311C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yescomplemented
290C2×#391C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293#2290C2212yescomplemented
294#2283C2211yescharacteristic, complemented
295C2×#380C2212yescomplemented
296C2×#380C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2314yes—
307C24×C4C2312yes—
308#553—48no—
309#548—48no—
310#548—48no—
311#547—44no—
312#546—48no—
313D42—44no—
314D42—48no—
315#535—48no—
316#532—44no—
317#532—44no—
318C2×C4⋊Q8—44no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2311yescharacteristic
329C2×#127C2312yes—
330C2×#126C2314yes—
331C2×#125C2311yescharacteristic
332C2×#125C2312yes—
333C2×#124—48no—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347#525—48no—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×#121—48no—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2311yescharacteristic
388C2×#121C2311yescharacteristic
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2312yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×D4—44no—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C22⋊C4C2314yes—
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2314yes—
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2312yes—
452#401C2314yes—
453#401C2312yes—
454#400C2314yes—
455#400C2314yes—
456#400C2312yes—
457#400C2314yes—
458#400C2312yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2312yes—
464#400C2312yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2312yes—
476#398C2314yes—
477#398C2314yes—
478#398C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2312yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2314yes—
505#397C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2312yes—
519#395C2314yes—
520#395C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2312yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2312yes—
583#392C2312yes—
584#392C2312yes—
585#392C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2312yes—
605#390C2314yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2314yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#383C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2311yescharacteristic
751#381C2314yes—
752#381C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#379C2314yes—
783#379C2312yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820#376C2312yes—
821C2×#95C2314yes—
822C2×#95C2312yes—
823C2×#95C2314yes—
824C43C2311yescharacteristic
825C25C2412yes—
826C25C2414yes—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C22×Q8—28no—
837C22×Q8—44no—
838C22×Q8—44no—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×Q8C2414yes—
842C22×Q8C2412yes—
843C22×D4—24no—
844C22×D4—28no—
845C22×D4—24no—
846C22×D4—42no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—48no—
853C22×D4—48no—
854C22×D4—48no—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2414yes—
884C23×C4—28no—
885C23×C4—44no—
886C23×C4—44no—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—44no—
910C4⋊Q8—44no—
911C4⋊Q8—42no—
912C4⋊Q8—44no—
913#127—24no—
914#127—24no—
915#127—42no—
916#127—44no—
917#127—44no—
918#126—48no—
919#125—42no—
920#125—44no—
921#124—28no—
922#124—28no—
923#124—44no—
924#124—44no—
925#124—44no—
926#124—44no—
927#124—44no—
928#124—44no—
929#124—44no—
930#124—48no—
931#124—48no—
932#124—48no—
933#124—48no—
934#123—48no—
935#123—48no—
936#123—48no—
937#123—44no—
938#123—44no—
939C22⋊Q8—44no—
940C22⋊Q8—48no—
941C22⋊Q8—48no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947#121—24no—
948#121—24no—
949#121—28no—
950#121—28no—
951#121—24no—
952#121—48no—
953#121—44no—
954#121—44no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—42no—
963#121—44no—
964#121—42no—
965#121—44no—
966#121—44no—
967#121—42no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—48no—
974#121—44no—
975#121—44no—
976#121—48no—
977#121—44no—
978#121—48no—
979#121—48no—
980#121—48no—
981#120—48no—
982#120—48no—
983#120—44no—
984#120—44no—
985#120—44no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×D4—24no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—44no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—42no—
1015C4×D4—48no—
1016C4×D4—48no—
1017C4×D4—48no—
1018#117—44no—
1019#117—44no—
1020#117—44no—
1021C2×C4⋊C4—24no—
1022C2×C4⋊C4—42no—
1023C2×C4⋊C4—42no—
1024C2×C4⋊C4—44no—
1025C2×C4⋊C4—44no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4—44no—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—48no—
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4—48no—
1084C2×C22⋊C4—48no—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C42—24no—
1166C2×C42—24no—
1167C2×C42—44no—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—24no—
1245C24—24no—
1246C24—24no—
1247C24—24no—
1248C24—28no—
1249C24—42no—
1250C24—42no—
1251C24—42no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24C2512yes—
1259C24C2514yes—
1260C24C2512yes—
1261C24C2511yescharacteristic
1262C24C2512yes—
1263C24C2512yes—
1264C24C2511yescharacteristic
1265#41—816no—
1266#41—816no—
1267#41—816no—
1268C2×Q8—24no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—24no—
1272C2×Q8—24no—
1273C2×Q8—24no—
1274C2×Q8—28no—
1275C2×Q8—42no—
1276C2×Q8—44no—
1277C2×Q8—42no—
1278C2×Q8—44no—
1279C2×Q8—42no—
1280C2×Q8—816no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—28no—
1287C2×D4—28no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—28no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—28no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—22no—
1317C2×D4—416no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—816no—
1369C2×D4—816no—
1370C2×D4—832no—
1371C2×D4H(5,𝔽2)14yes—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—28no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—41no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—41no—
1420C22×C4—44no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—41no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—816no—
1431C22×C4H(5,𝔽2)14yes—
1432C22×C4H(5,𝔽2)14yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2514yes—
1452C22×C4C2514yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—22no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—41no—
1497C4⋊C4—42no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—22no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—22no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—22no—
1533C22⋊C4—28no—
1534C22⋊C4—24no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—41no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—24no—
1600C42—24no—
1601C42—22no—
1602C42—22no—
1603C42—24no—
1604C42—24no—
1605C42—22no—
1606C42—22no—
1607C42—42no—
1608C42—42no—
1609C42—41no—
1610C42—44no—
1611C42—41no—
1612C42—44no—
1613C42—44no—
1614C42H(5,𝔽2)14yes—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—24no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—24no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—24no—
1639C23—24no—
1640C23—22no—
1641C23—21no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—22no—
1647C23—24no—
1648C23—24no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—22no—
1656C23—21no—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—48no—
1661C23—48no—
1662C23—48no—
1663C23—48no—
1664C23—84no—
1665C23—84no—
1666C23—84no—
1667C23—88no—
1668C23—88no—
1669C23—88no—
1670C23—88no—
1671C23—88no—
1672C23—164no—
1673C23—164no—
1674C23C2×H(5,𝔽2)14yes—
1675C23C2×H(5,𝔽2)12yes—
1676C23C2×H(5,𝔽2)12yes—
1677C23#58512yes—
1678C23C2611yescharacteristic
1679Q8—48no—
1680Q8—48no—
1681Q8—88no—
1682Q8—84no—
1683D4—28no—
1684D4—48no—
1685D4—44no—
1686D4—48no—
1687D4—416no—
1688D4—48no—
1689D4—44no—
1690D4—48no—
1691D4—44no—
1692D4—48no—
1693D4—44no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—88no—
1703D4—88no—
1704D4—88no—
1705D4—88no—
1706D4—84no—
1707D4—84no—
1708D4—84no—
1709D4—164no—
1710D4—164no—
1711D4—164no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—28no—
1719C2×C4—28no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—44no—
1790C2×C4—48no—
1791C2×C4—44no—
1792C2×C4—48no—
1793C2×C4—48no—
1794C2×C4—48no—
1795C2×C4—44no—
1796C2×C4—82no—
1797C2×C4—84no—
1798C2×C4—84no—
1799C2×C4—84no—
1800C2×C4—84no—
1801C2×C4—84no—
1802C2×C4—88no—
1803C2×C4—88no—
1804C2×C4—88no—
1805C2×C4—88no—
1806C2×C4—164no—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4C2×H(5,𝔽2)12yes—
1811C2×C4C2×H(5,𝔽2)12yes—
1812C2×C4C2×H(5,𝔽2)12yes—
1813C2×C4C2×H(5,𝔽2)12yes—
1814C2×C4C2×H(5,𝔽2)12yes—
1815C2×C4#58512yes—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—44no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—44no—
1839C22—42no—
1840C22—44no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—44no—
1848C22—42no—
1849C22—44no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—44no—
1856C22—41no—
1857C22—42no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—42no—
1862C22—44no—
1863C22—42no—
1864C22—816no—
1865C22—1616no—
1866C22#354614yes—
1867C22C22×H(5,𝔽2)11yescharacteristic
1868C22C22×H(5,𝔽2)11yescharacteristic
1869C22C22×H(5,𝔽2)11yescharacteristic
1870C22C22×H(5,𝔽2)11yescharacteristic
1871C22C2×#58511yescharacteristic
1872C22C2×#58511yescharacteristic
1873C222−1+611yescharacteristic
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—41no—
1878C4—42no—
1879C4—44no—
1880C4—44no—
1881C4—42no—
1882C4—42no—
1883C4—41no—
1884C4—42no—
1885C4—42no—
1886C4—44no—
1887C4—41no—
1888C4—42no—
1889C4—42no—
1890C4—42no—
1891C4—41no—
1892C4—42no—
1893C4—42no—
1894C4—42no—
1895C4—41no—
1896C4—41no—
1897C4—42no—
1898C4—41no—
1899C4—41no—
1900C4#353714yes—
1901C4#355814yes—
1902C2—24no—
1903C2—44no—
1904C2—81no—
1905C2—82no—
1906C2—82no—
1907C2—84no—
1908C2—82no—
1909C2C2×#353711yescharacteristic
1910C2C2×#355811yescharacteristic
1911C2C2×#354611yescharacteristic
1912C2#6291411yescharacteristic
1913C2#6293111yescharacteristic
1914C2#6295411yescharacteristic
1915C2#6301811yescharacteristic
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. #59678C2semidirect
2. #59131C2semidirect
3. #59125C2semidirect
4. #59035C2semidirect
5. #59013C2semidirect
6. #53614C2semidirect
7. #53506C2semidirect
8. #53088C2semidirect
9. #53066C2semidirect
10. #52967C2semidirect
11. #52963C2semidirect
12. #52471C2semidirect
13. #42989C2semidirect
14. #42634C2semidirect
15. #42619C2semidirect
16. #42435C2semidirect
17. #40762C2semidirect
18. #39743C2semidirect
19. #39471C2semidirect
20. #39362C2semidirect
21. #39202C2semidirect
22. #39146C2semidirect
23. #39144C2semidirect
24. #37836C2semidirect
25. #37677C2semidirect
26. #37627C2semidirect
27. #37618C2semidirect
28. #37494C2semidirect
29. #37439C2semidirect
30. #36596C2semidirect
31. #36122C2semidirect
32. D4×#121C2semidirect
33. C2×#2547C2semidirect
34. #34788C2semidirect
35. #34681C2semidirect
36. C2×#553C22semidirect
37. C2×#548C22semidirect
38. C2×#548C22semidirect
39. C2×#547C22semidirect
44. C2×#532C22semidirect
45. C2×#532C22semidirect
46. C22×C4⋊Q8C22semidirect
48. C2×#525C22semidirect
51. #2858C22semidirect
52. #2857C22semidirect
54. #2856C22semidirect
56. #2837C22semidirect
57. #2832C22semidirect
58. #2831C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2827C22semidirect
63. #2827C22semidirect
64. #2826C22semidirect
65. #2825C22semidirect
66. #2815C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2812C22semidirect
70. #2797C22semidirect
71. #2797C22semidirect
72. #2796C22semidirect
73. #2780C22semidirect
74. #2779C22semidirect
75. #2778C22semidirect
76. #2778C22semidirect
77. #2770C22semidirect
78. #2752C22semidirect
79. #2746C22semidirect
80. #2736C22semidirect
81. #2735C22semidirect
82. #2733C22semidirect
83. #2732C22semidirect
84. #2730C22semidirect
85. #2730C22semidirect
86. #2710C22semidirect
87. #2708C22semidirect
88. #2708C22semidirect
89. #2705C22semidirect
90. #2703C22semidirect
91. #2703C22semidirect
92. #2702C22semidirect
93. #2693C22semidirect
94. #2691C22semidirect
95. #2688C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2674C22semidirect
101. #2672C22semidirect
102. #2671C22semidirect
103. #2670C22semidirect
104. #2670C22semidirect
105. #2670C22semidirect
106. #2668C22semidirect
107. #2665C22semidirect
108. #2657C22semidirect
109. #2656C22semidirect
110. #2653C22semidirect
111. #2653C22semidirect
112. #2651C22semidirect
113. #2645C22semidirect
114. #2643C22semidirect
115. #2640C22semidirect
116. #2639C22semidirect
117. #2631C22semidirect
118. #2629C22semidirect
119. #2626C22semidirect
120. #2625C22semidirect
121. #2624C22semidirect
122. #2624C22semidirect
123. #2622C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2617C22semidirect
127. #2615C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2597C22semidirect
131. #2562C22semidirect
132. #2562C22semidirect
133. #2555C22semidirect
134. #2554C22semidirect
135. #2552C22semidirect
136. #2548C22semidirect
140. #2547C22semidirect
141. #2547C22semidirect
142. #2547C22semidirect
143. #2547C22semidirect
144. #2547C22semidirect
145. #2547C22semidirect
146. #2547C22semidirect
147. #2545C22semidirect
149. #2544C22semidirect
150. #2543C22semidirect
151. #2543C22semidirect
152. #2543C22semidirect
153. #2542C22semidirect
155. #2541C22semidirect
156. #2540C22semidirect
158. #2537C22semidirect
159. #2535C22semidirect
160. #2535C22semidirect
161. #2525C22semidirect
162. #2516C22semidirect
163. #2513C22semidirect
164. #2512C22semidirect
165. #2511C22semidirect
166. #2510C22semidirect
167. #2509C22semidirect
169. #2497C22semidirect
170. #2494C22semidirect
171. #2494C22semidirect
172. #2492C22semidirect
173. #2491C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2490C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
179. #2490C22semidirect
180. #2487C22semidirect
181. #2487C22semidirect
182. #2487C22semidirect
183. #2487C22semidirect
184. #2485C22semidirect
185. #2480C22semidirect
186. #2472C22semidirect
187. #2472C22semidirect
188. #2464C22semidirect
189. #2461C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
193. #2450C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2444C22semidirect
200. #2444C22semidirect
201. #2443C22semidirect
202. #2442C22semidirect
203. #2442C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2436C22semidirect
210. #2432C22semidirect
211. #2432C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
215. #2431C22semidirect
216. #2429C22semidirect
220. #2427C22semidirect
221. #2426C22semidirect
223. #2424C22semidirect
224. #2424C22semidirect
225. #2424C22semidirect
226. #2424C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
229. #2422C22semidirect
230. #2422C22semidirect
231. #2420C22semidirect
232. #2418C22semidirect
233. #2418C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2414C22semidirect
245. #2412C22semidirect
247. #2410C22semidirect
248. #2410C22semidirect
249. #2410C22semidirect
250. #2409C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2401C22semidirect
259. #2395C22semidirect
260. #2392C22semidirect
261. C2×#397C22semidirect
262. #2388C22semidirect
264. #2366C22semidirect
265. #2365C22semidirect
266. #2363C22semidirect
267. #2361C22semidirect
268. #2361C22semidirect
269. #2354C22semidirect
270. #2352C22semidirect
272. D4×C4⋊C4C22semidirect
274. D4×C22⋊C4C22semidirect
275. D4×C22⋊C4C22semidirect
277. #2325C22semidirect
278. #2324C22semidirect
279. #2311C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#125C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#120C22semidirect
290. C2×#391C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. #2290C22semidirect
294. #2283C22semidirect
295. C2×#380C22semidirect
296. C2×#380C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596782
#591312
#591252
#590352
#590132
#536142
#535062
#530882
#530662
#529672
#529632
#524712
#429892
#426342
#426192
#424352
#407622
#397432
#394712
#393622
#392022
#391462
#391442
#378362
#376772
#376272
#376182
#374942
#374392
#365962
#361222
D4×#1212
C2×#25472
#347882
#346812