Finite Group Databasebeta

← #7779561

Subgroups — #7779561

Order 512.

5913 conjugacy classes of subgroups.

The subgroup lattice has 1927 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59408C212yesmaximal, complemented
2#59243C211yesmaximal, characteristic, complemented
3#59214C211yesmaximal, characteristic, complemented
4#59143C211yesmaximal, characteristic, complemented
5#59126C211yesmaximal, characteristic, complemented
6#59058C212yesmaximal, complemented
7#49914C214yesmaximal, complemented
8#48487C214yesmaximal, complemented
9#46697C214yesmaximal, complemented
10#46605C214yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#45642C212yesmaximal, complemented
13#44899C212yesmaximal, complemented
14#44868C212yesmaximal, complemented
15#42629C212yesmaximal, complemented
16#42616C212yesmaximal, complemented
17#40174C212yesmaximal, complemented
18#40044C212yesmaximal, complemented
19#39198C212yesmaximal, complemented
20#39137C211yesmaximal, characteristic, complemented
21#38945C212yesmaximal, complemented
22#38910C211yesmaximal, characteristic, complemented
23#38910C212yesmaximal, complemented
24#38214C212yesmaximal, complemented
25#37365C212yesmaximal, complemented
26#36596C211yesmaximal, characteristic, complemented
27#36493C211yesmaximal, characteristic, complemented
28#36472C211yesmaximal, characteristic, complemented
29#36302C211yesmaximal, characteristic, complemented
30#36258C211yesmaximal, characteristic, complemented
31#36117C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#34911C211yesmaximal, characteristic, complemented
34#34493C212yesmaximal, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#553C2212yescomplemented
38C2×#553C2212yescomplemented
39C2×#546C2212yescomplemented
40C2×D42C2212yes—
41C2×D42C2212yes—
42C2×D42C2211yescharacteristic
43C2×#537C2211yescharacteristic
44C2×#535C2212yescomplemented
45C22×#127C2211yescharacteristic
46C2×#529C2212yescomplemented
47C2×#529C2211yescharacteristic, complemented
48C2×C4×#41C2211yescharacteristic, complemented
49C2×C4×#41C2211yescharacteristic, complemented
50#2861C2212yescomplemented
51#2860C2212yescomplemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2856C2211yescharacteristic, complemented
56#2856C2211yescharacteristic, complemented
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2850C2212yescomplemented
60#2828C2214yescomplemented
61#2825C2214yescomplemented
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2803C2214yescomplemented
65#2803C2214yescomplemented
66#2801C2214yescomplemented
67#2800C2214yescomplemented
68#2797C2214yescomplemented
69#2786C2214yescomplemented
70#2780C2214yescomplemented
71#2778C2214yescomplemented
72#2778C2214yescomplemented
73#2741C2214yescomplemented
74#2735C2214yescomplemented
75#2735C2214yescomplemented
76#2727C2214yescomplemented
77#2714C2214yescomplemented
78#2710C2214yescomplemented
79#2709C2214yescomplemented
80#2705C2214yescomplemented
81#2705C2214yescomplemented
82#2705C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2682C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2673C2214yescomplemented
98#2672C2214yescomplemented
99#2669C2214yes—
100#2669C2214yescomplemented
101#2668C2214yescomplemented
102#2649C2214yescomplemented
103#2630C2214yescomplemented
104#2624C2212yescomplemented
105#2624C2214yescomplemented
106#2622C2214yescomplemented
107#2620C2212yescomplemented
108#2619C2212yescomplemented
109#2619C2212yescomplemented
110#2604C2212yescomplemented
111#2603C2212yescomplemented
112#2603C2214yescomplemented
113#2602C2212yescomplemented
114#2602C2212yescomplemented
115#2594C2214yescomplemented
116#2592C2211yescharacteristic, complemented
117#2587C2214yescomplemented
118#2584C2211yescharacteristic, complemented
119#2566C2212yescomplemented
120#2562C2211yescharacteristic, complemented
121#2559C2214yescomplemented
122#2554C2214yescomplemented
123#2552C2211yescharacteristic, complemented
124#2552C2211yescharacteristic, complemented
125#2548C2211yescharacteristic
126#2548C2211yescharacteristic
127#2548C2212yescomplemented
128#2548C2212yescomplemented
129#2548C2212yescomplemented
130#2544C2212yescomplemented
131#2544C2212yescomplemented
132#2543C2214yescomplemented
133#2541C2211yescharacteristic
134#2541C2211yescharacteristic
135#2541C2212yescomplemented
136#2541C2212yescomplemented
137#2540C2211yescharacteristic
138#2540C2212yescomplemented
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2539C2214yescomplemented
142#2538C2212yescomplemented
143#2538C2211yescharacteristic, complemented
144#2538C2211yescharacteristic, complemented
145#2537C2212yescomplemented
146#2535C2212yescomplemented
147#2531C2214yescomplemented
148#2521C2214yescomplemented
149#2513C2212yescomplemented
150#2513C2212yescomplemented
151#2512C2212yescomplemented
152#2512C2212yescomplemented
153#2509C2212yescomplemented
154#2501C2212yescomplemented
155#2500C2212yescomplemented
156#2499C2212yescomplemented
157#2497C2212yescomplemented
158#2494C2212yescomplemented
159#2494C2212yescomplemented
160#2490C2212yes—
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2487C2212yescomplemented
166#2479C2214yescomplemented
167#2476C2214yescomplemented
168#2472C2214yescomplemented
169#2471C2214yescomplemented
170#2471C2214yescomplemented
171#2470C2214yescomplemented
172#2467C2214yescomplemented
173#2464C2214yescomplemented
174#2456C2214yescomplemented
175#2456C2214yescomplemented
176#2456C2214yescomplemented
177#2454C2212yescomplemented
178#2454C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2445C2212yescomplemented
182#2445C2212yescomplemented
183#2445C2212yescomplemented
184#2445C2214yescomplemented
185#2441C2212yescomplemented
186#2435C2212yescomplemented
187#2435C2212yescomplemented
188#2435C2212yescomplemented
189#2433C2212yes—
190#2433C2212yes—
191#2431C2212yescomplemented
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yescomplemented
195#2428C2214yescomplemented
196#2428C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2425C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2422C2212yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2418C2214yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2415C2212yescomplemented
210#2415C2211yescharacteristic, complemented
211#2415C2211yescharacteristic, complemented
212#2414C2211yescharacteristic
213#2414C2212yescomplemented
214#2414C2214yescomplemented
215#2414C2212yescomplemented
216#2414C2211yescharacteristic, complemented
217#2414C2212yescomplemented
218#2411C2214yescomplemented
219#2410C2214yescomplemented
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yescomplemented
223#2408C2212yescomplemented
224#2408C2212yescomplemented
225#2408C2214yescomplemented
226#2408C2212yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2408C2212yescomplemented
230#2405C2214yescomplemented
231#2403C2214yes—
232#2395C2212yescomplemented
233#2388C2212yescomplemented
234#2375C2214yescomplemented
235#2375C2214yescomplemented
236#2370C2212yescomplemented
237#2366C2211yescharacteristic
238#2366C2211yescharacteristic, complemented
239#2366C2212yescomplemented
240#2363C2212yes—
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2214yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2360C2212yescomplemented
248#2355C2211yescharacteristic, complemented
249#2354C2212yescomplemented
250#2354C2212yescomplemented
251#2354C2211yescharacteristic, complemented
252#2354C2212yescomplemented
253Q8×C4⋊C4C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic, complemented
255D4×C22⋊C4C2212yescomplemented
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2214yescomplemented
258D4×C22⋊C4C2212yescomplemented
259#2325C2212yescomplemented
260#2325C2212yescomplemented
261#2324C2211yescharacteristic
262#2324C2212yescomplemented
263#2324C2211yescharacteristic, complemented
264#2324C2212yescomplemented
265#2324C2214yescomplemented
266#2323C2211yescharacteristic, complemented
267#2323C2211yescharacteristic, complemented
268#2323C2212yescomplemented
269#2321C2214yescomplemented
270#2321C2214yescomplemented
271#2316C2211yescharacteristic, complemented
272#2311C2211yescharacteristic, complemented
273#2311C2211yescharacteristic, complemented
274#2309C2214yescomplemented
275#2309C2212yescomplemented
276#2309C2212yescomplemented
277C4×#127C2212yescomplemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2212yescomplemented
292#2293C2212yescomplemented
293#2293C2212yescomplemented
294#2293C2212yescomplemented
295C2×#390C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2314yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#559—44no—
308#553—48no—
309#553—48no—
310#546—48no—
311D42—216no—
312D42—44no—
313D42—48no—
314#537—28no—
315#535—48no—
316C2×#127—44no—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2314yes—
324C2×#127C2312yes—
325#529—44no—
326#529—48no—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#125C2312yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2311yescharacteristic
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C4×#41—44no—
400C4×#41—44no—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×#117C2311yescharacteristic
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2314yes—
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2314yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2312yes—
457C22×C42C2312yes—
458#401C2314yes—
459#400C2312yes—
460#400C2314yes—
461#400C2314yes—
462#399C2312yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#398C2312yes—
470#398C2314yes—
471#398C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#395C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
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#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#393C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2314yes—
747#385C2314yes—
748#384C2312yes—
749#384C2312yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2312yes—
753#382C2312yes—
754#382C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2312yes—
823C43C2312yes—
824C25C2414yes—
825C25C2414yes—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—42no—
831C2×#41—42no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4—216no—
836C22×D4—28no—
837C22×D4—28no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—48no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—84no—
851C22×D4—82no—
852C22×D4—82no—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902#127—28no—
903#127—24no—
904#127—24no—
905#127—44no—
906#127—44no—
907#127—44no—
908#127—44no—
909#127—48no—
910#126—44no—
911#126—48no—
912#126—48no—
913#126—48no—
914#125—28no—
915#125—42no—
916#125—44no—
917#124—42no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—44no—
922#124—48no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—44no—
927#123—48no—
928#123—48no—
929#123—84no—
930#123—84no—
931C22⋊Q8—24no—
932C22⋊Q8—24no—
933C22⋊Q8—24no—
934C22⋊Q8—28no—
935C22⋊Q8—42no—
936C22⋊Q8—44no—
937C22⋊Q8—42no—
938C22⋊Q8—44no—
939#121—24no—
940#121—28no—
941#121—28no—
942#121—28no—
943#121—28no—
944#121—28no—
945#121—24no—
946#121—28no—
947#121—28no—
948#121—216no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—42no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—42no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—48no—
965#121—82no—
966#121—84no—
967#121—82no—
968#121—82no—
969#121—82no—
970#121—84no—
971#121#4118yes—
972#120—216no—
973#120—216no—
974#120—48no—
975#120—48no—
976#120—48no—
977#120—48no—
978#120—48no—
979#120—48no—
980#120—84no—
981#120—84no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—42no—
985C4×Q8—42no—
986C4×Q8—42no—
987C4×Q8—44no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—42no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—48no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—48no—
1013C4×D4—48no—
1014C4×D4—84no—
1015C4×D4—84no—
1016#117—24no—
1017#117—42no—
1018#117—42no—
1019#117—42no—
1020#117—44no—
1021#117—44no—
1022#117—42no—
1023#117—42no—
1024#117—48no—
1025#117—44no—
1026#117—44no—
1027#117—84no—
1028C2×C4⋊C4—24no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C22⋊C4—48no—
1087C2×C22⋊C4—84no—
1088C2×C22⋊C4—84no—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C42—24no—
1172C2×C42—24no—
1173C2×C42—24no—
1174C2×C42—44no—
1175C2×C42—44no—
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248C24—28no—
1249C24—28no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24C2512yes—
1263C24C2514yes—
1264C24C2514yes—
1265C24C2511yescharacteristic
1266C24C2511yescharacteristic
1267C24C2512yes—
1268C24C2511yescharacteristic
1269#41—416no—
1270#41—416no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—22no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—41no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—28no—
1293C2×D4—28no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—28no—
1298C2×D4—28no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—28no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—44no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
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×D4—816no—
1372C2×D4—816no—
1373C2×D4—816no—
1374C2×D4C2×#4114yes—
1375C2×D4C2×#4118yes—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—28no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—42no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4C2×#4114yes—
1432C22×C4H(5,𝔽2)14yes—
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—44no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—42no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4C2×#4114yes—
1515C4⋊C4H(5,𝔽2)14yes—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—28no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4C2×#4118yes—
1598C42—24no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—42no—
1615C42—42no—
1616C42—42no—
1617C42—42no—
1618C42—42no—
1619C42—44no—
1620C42—44no—
1621C42—44no—
1622C42—42no—
1623C42—44no—
1624C42—42no—
1625C42H(5,𝔽2)14yes—
1626C23—21no—
1627C23—21no—
1628C23—22no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—24no—
1646C23—22no—
1647C23—24no—
1648C23—21no—
1649C23—22no—
1650C23—24no—
1651C23—22no—
1652C23—24no—
1653C23—24no—
1654C23—24no—
1655C23—22no—
1656C23—21no—
1657C23—24no—
1658C23—24no—
1659C23—21no—
1660C23—21no—
1661C23—24no—
1662C23—22no—
1663C23—24no—
1664C23—24no—
1665C23—22no—
1666C23—24no—
1667C23—21no—
1668C23—24no—
1669C23—22no—
1670C23—24no—
1671C23—21no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—88no—
1681C23—88no—
1682C23—164no—
1683C23—164no—
1684C23—164no—
1685C23—164no—
1686C23C22×#4112yes—
1687C23C22×#4114yes—
1688C23C2×H(5,𝔽2)12yes—
1689C23C2611yescharacteristic
1690Q8—44no—
1691Q8—44no—
1692Q8—44no—
1693D4—28no—
1694D4—48no—
1695D4—416no—
1696D4—48no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—48no—
1701D4—48no—
1702D4—48no—
1703D4—48no—
1704D4—44no—
1705D4—48no—
1706D4—88no—
1707D4—88no—
1708D4—84no—
1709D4—84no—
1710D4—84no—
1711D4—88no—
1712D4—88no—
1713D4—84no—
1714D4—88no—
1715D4—88no—
1716D4—84no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—164no—
1721D4—164no—
1722D4—164no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—28no—
1734C2×C4—28no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—24no—
1797C2×C4—21no—
1798C2×C4—416no—
1799C2×C4—48no—
1800C2×C4—44no—
1801C2×C4—48no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—48no—
1806C2×C4—44no—
1807C2×C4—84no—
1808C2×C4—82no—
1809C2×C4—82no—
1810C2×C4—84no—
1811C2×C4—84no—
1812C2×C4—164no—
1813C2×C4—164no—
1814C2×C4—164no—
1815C2×C4C22×#4114yes—
1816C2×C4C22×#4112yes—
1817C2×C4C22×#4112yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)14yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4C2×H(5,𝔽2)12yes—
1824C2×C4C2×H(5,𝔽2)12yes—
1825C2×C4#58512yes—
1826C22—22no—
1827C22—24no—
1828C22—24no—
1829C22—22no—
1830C22—22no—
1831C22—22no—
1832C22—24no—
1833C22—22no—
1834C22—22no—
1835C22—41no—
1836C22—41no—
1837C22—42no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—41no—
1847C22—44no—
1848C22—42no—
1849C22—44no—
1850C22—41no—
1851C22—41no—
1852C22—42no—
1853C22—44no—
1854C22—44no—
1855C22—44no—
1856C22—41no—
1857C22—44no—
1858C22—42no—
1859C22—41no—
1860C22—42no—
1861C22—44no—
1862C22—44no—
1863C22—41no—
1864C22—44no—
1865C22—44no—
1866C22—42no—
1867C22—44no—
1868C22—44no—
1869C22—41no—
1870C22—42no—
1871C22—42no—
1872C22—44no—
1873C22—41no—
1874C22—44no—
1875C22—1616no—
1876C22—1616no—
1877C22C23×#4111yescharacteristic
1878C22C22×H(5,𝔽2)11yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×H(5,𝔽2)11yescharacteristic
1881C22C2×#58511yescharacteristic
1882C22H(7,𝔽2)11yescharacteristic
1883C22H(7,𝔽2)11yescharacteristic
1884C4—24no—
1885C4—24no—
1886C4—22no—
1887C4—22no—
1888C4—22no—
1889C4—42no—
1890C4—41no—
1891C4—41no—
1892C4—42no—
1893C4—41no—
1894C4—42no—
1895C4—42no—
1896C4—41no—
1897C4—42no—
1898C4—42no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—42no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—44no—
1908C4—42no—
1909C4—44no—
1910C4#351914yes—
1911C4#354614yes—
1912C2—42no—
1913C2—44no—
1914C2—42no—
1915C2—81no—
1916C2—84no—
1917C2—84no—
1918C2—82no—
1919C2C2×#354611yescharacteristic
1920C2C2×#351911yescharacteristic
1921C2#6287411yescharacteristic
1922C2#6291611yescharacteristic
1923C2#6295511yescharacteristic
1924C2#6298311yescharacteristic
1925C2#6301011yescharacteristic
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. #59408C2semidirect
2. #59243C2semidirect
3. #59214C2semidirect
4. #59143C2semidirect
5. #59126C2semidirect
6. #59058C2semidirect
7. #49914C2semidirect
8. #48487C2semidirect
9. #46697C2semidirect
10. #46605C2semidirect
11. #45655C2semidirect
12. #45642C2semidirect
13. #44899C2semidirect
14. #44868C2semidirect
15. #42629C2semidirect
16. #42616C2semidirect
17. #40174C2semidirect
18. #40044C2semidirect
19. #39198C2semidirect
20. #39137C2semidirect
21. #38945C2semidirect
22. #38910C2semidirect
23. #38910C2semidirect
24. #38214C2semidirect
25. #37365C2semidirect
26. #36596C2semidirect
27. #36493C2semidirect
28. #36472C2semidirect
29. #36302C2semidirect
30. #36258C2semidirect
31. #36117C2semidirect
32. #35272C2semidirect
33. #34911C2semidirect
34. #34493C2semidirect
35. C4×#537C2semidirect
36. C2×#559C22semidirect
37. C2×#553C22semidirect
38. C2×#553C22semidirect
39. C2×#546C22semidirect
44. C2×#535C22semidirect
46. C2×#529C22semidirect
47. C2×#529C22semidirect
48. C2×C4×#41C22semidirect
49. C2×C4×#41C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
54. #2856C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2850C22semidirect
60. #2828C22semidirect
61. #2825C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2803C22semidirect
65. #2803C22semidirect
66. #2801C22semidirect
67. #2800C22semidirect
68. #2797C22semidirect
69. #2786C22semidirect
70. #2780C22semidirect
71. #2778C22semidirect
72. #2778C22semidirect
73. #2741C22semidirect
74. #2735C22semidirect
75. #2735C22semidirect
76. #2727C22semidirect
77. #2714C22semidirect
78. #2710C22semidirect
79. #2709C22semidirect
80. #2705C22semidirect
81. #2705C22semidirect
82. #2705C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2682C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2673C22semidirect
98. #2672C22semidirect
100. #2669C22semidirect
101. #2668C22semidirect
102. #2649C22semidirect
103. #2630C22semidirect
104. #2624C22semidirect
105. #2624C22semidirect
106. #2622C22semidirect
107. #2620C22semidirect
108. #2619C22semidirect
109. #2619C22semidirect
110. #2604C22semidirect
111. #2603C22semidirect
112. #2603C22semidirect
113. #2602C22semidirect
114. #2602C22semidirect
115. #2594C22semidirect
116. #2592C22semidirect
117. #2587C22semidirect
118. #2584C22semidirect
119. #2566C22semidirect
120. #2562C22semidirect
121. #2559C22semidirect
122. #2554C22semidirect
123. #2552C22semidirect
124. #2552C22semidirect
127. #2548C22semidirect
128. #2548C22semidirect
129. #2548C22semidirect
130. #2544C22semidirect
131. #2544C22semidirect
132. #2543C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2539C22semidirect
142. #2538C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2537C22semidirect
146. #2535C22semidirect
147. #2531C22semidirect
148. #2521C22semidirect
149. #2513C22semidirect
150. #2513C22semidirect
151. #2512C22semidirect
152. #2512C22semidirect
153. #2509C22semidirect
154. #2501C22semidirect
155. #2500C22semidirect
156. #2499C22semidirect
157. #2497C22semidirect
158. #2494C22semidirect
159. #2494C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2487C22semidirect
166. #2479C22semidirect
167. #2476C22semidirect
168. #2472C22semidirect
169. #2471C22semidirect
170. #2471C22semidirect
171. #2470C22semidirect
172. #2467C22semidirect
173. #2464C22semidirect
174. #2456C22semidirect
175. #2456C22semidirect
176. #2456C22semidirect
177. #2454C22semidirect
178. #2454C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2441C22semidirect
186. #2435C22semidirect
187. #2435C22semidirect
188. #2435C22semidirect
191. #2431C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2427C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2425C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2422C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2411C22semidirect
219. #2410C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2405C22semidirect
232. #2395C22semidirect
233. #2388C22semidirect
234. #2375C22semidirect
235. #2375C22semidirect
236. #2370C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2360C22semidirect
248. #2355C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
253. Q8×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C22⋊C4C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. #2325C22semidirect
260. #2325C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2324C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
269. #2321C22semidirect
270. #2321C22semidirect
271. #2316C22semidirect
272. #2311C22semidirect
273. #2311C22semidirect
274. #2309C22semidirect
275. #2309C22semidirect
276. #2309C22semidirect
277. C4×#127C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2293C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. C2×#390C22semidirect
296. #2285C22semidirect
297. C4×#117C22semidirect
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
#594082
#592432
#592142
#591432
#591262
#590582
#499142
#484872
#466972
#466052
#456552
#456422
#448992
#448682
#426292
#426162
#401742
#400442
#391982
#391372
#389452
#389102
#382142
#373652
#365962
#364932
#364722
#363022
#362582
#361172
#352722
#349112
#344932
C4×#5372