Finite Group Databasebeta

← #7672252

Subgroups — #7672252

Order 512.

5698 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59970C214yesmaximal, complemented
2#59685C214yesmaximal, complemented
3#59581C212yesmaximal, complemented
4#59483C212yesmaximal, complemented
5#59062C212yesmaximal, complemented
6#59046C212yesmaximal, complemented
7#39202C211yesmaximal, characteristic, complemented
8#39194C211yesmaximal, characteristic, complemented
9#38966C211yesmaximal, characteristic, complemented
10#38956C211yesmaximal, characteristic, complemented
11#38590C214yesmaximal, complemented
12#38570C214yesmaximal, complemented
13#38216C212yesmaximal, complemented
14#38205C212yesmaximal, complemented
15#36631C211yesmaximal, characteristic, complemented
16#36596C211yesmaximal, characteristic, complemented
17#36552C211yesmaximal, characteristic, complemented
18#36366C212yesmaximal, complemented
19#36362C212yesmaximal, complemented
20#36302C212yesmaximal, complemented
21#36292C212yesmaximal, complemented
22#36168C212yesmaximal, complemented
23#36153C211yesmaximal, characteristic, complemented
24#36144C212yesmaximal, complemented
25#36101C211yesmaximal, characteristic, complemented
26#35614C212yesmaximal, complemented
27#35601C212yesmaximal, complemented
28#35261C212yesmaximal, complemented
29#35184C211yesmaximal, characteristic, complemented
30#35171C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34313C211yesmaximal, characteristic, complemented
33#34202C212yesmaximal, complemented
34C4×#529C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#546C2212yes—
40C2×#540C2212yescomplemented
41C2×#529C2211yescharacteristic
42C2×#529C2212yes—
43C2×#525C2212yes—
44C2×#520C2212yescomplemented
45C22×C4×D4C2211yescharacteristic
46C22×#117C2212yes—
47#2863C2212yescomplemented
48#2861C2212yes—
49#2861C2212yescomplemented
50#2860C2212yescomplemented
51#2860C2212yescomplemented
52#2859C2211yescharacteristic, complemented
53#2858C2211yescharacteristic, complemented
54#2857C2211yescharacteristic
55#2856C2211yescharacteristic
56#2856C2212yes—
57#2856C2212yes—
58#2854C2212yes—
59#2854C2212yes—
60#2854C2212yescomplemented
61#2851C2212yes—
62#2850C2212yes—
63#2847C2212yes—
64#2847C2212yes—
65#2801C2214yescomplemented
66#2800C2214yescomplemented
67#2797C2214yescomplemented
68#2790C2214yescomplemented
69#2768C2214yescomplemented
70#2753C2214yescomplemented
71#2753C2214yescomplemented
72#2752C2214yescomplemented
73#2741C2214yescomplemented
74#2740C2214yescomplemented
75#2722C2214yescomplemented
76#2718C2214yescomplemented
77#2714C2214yes—
78#2705C2214yes—
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2661C2214yescomplemented
82#2654C2214yescomplemented
83#2629C2212yescomplemented
84#2624C2212yescomplemented
85#2624C2212yescomplemented
86#2619C2212yescomplemented
87#2602C2214yescomplemented
88#2598C2214yescomplemented
89#2597C2214yescomplemented
90#2594C2214yescomplemented
91#2591C2214yescomplemented
92#2590C2214yescomplemented
93#2578C2214yescomplemented
94#2576C2214yescomplemented
95#2568C2211yescharacteristic, complemented
96#2566C2212yes—
97#2554C2214yes—
98#2554C2214yes—
99#2554C2214yescomplemented
100#2554C2214yescomplemented
101#2552C2211yescharacteristic, complemented
102#2552C2211yescharacteristic, complemented
103#2552C2212yescomplemented
104#2548C2212yes—
105#2547C2211yescharacteristic
106#2544C2212yes—
107#2543C2214yes—
108#2541C2211yescharacteristic
109#2541C2211yescharacteristic, complemented
110#2539C2214yes—
111#2538C2211yescharacteristic
112#2537C2211yescharacteristic
113#2531C2214yescomplemented
114#2531C2214yescomplemented
115#2526C2214yescomplemented
116#2525C2214yescomplemented
117#2522C2214yescomplemented
118#2518C2214yescomplemented
119#2516C2214yescomplemented
120#2513C2214yescomplemented
121#2512C2212yescomplemented
122#2511C2212yescomplemented
123#2510C2214yes—
124#2510C2214yescomplemented
125#2508C2212yescomplemented
126#2508C2212yescomplemented
127#2505C2214yes—
128#2504C2212yescomplemented
129#2502C2212yes—
130#2500C2212yes—
131#2500C2214yescomplemented
132#2495C2212yescomplemented
133#2494C2212yescomplemented
134#2494C2212yescomplemented
135#2490C2212yes—
136#2490C2212yescomplemented
137#2490C2212yescomplemented
138#2490C2212yescomplemented
139#2486C2212yes—
140#2478C2214yescomplemented
141#2476C2214yescomplemented
142#2476C2214yescomplemented
143#2476C2214yescomplemented
144#2471C2214yes—
145#2471C2214yescomplemented
146#2471C2214yescomplemented
147#2471C2214yescomplemented
148#2470C2214yescomplemented
149#2467C2214yescomplemented
150#2464C2214yes—
151#2464C2214yes—
152#2464C2214yescomplemented
153#2457C2214yescomplemented
154#2456C2214yes—
155#2454C2212yes—
156#2453C2212yescomplemented
157#2453C2212yescomplemented
158#2448C2212yes—
159#2448C2212yescomplemented
160#2447C2212yescomplemented
161#2445C2212yes—
162#2445C2212yescomplemented
163#2443C2214yes—
164#2443C2214yes—
165#2442C2212yescomplemented
166#2441C2212yescomplemented
167#2441C2212yescomplemented
168#2433C2212yes—
169#2431C2212yes—
170#2431C2212yes—
171#2431C2212yescomplemented
172#2428C2212yes—
173#2428C2212yescomplemented
174#2427C2212yes—
175#2427C2212yescomplemented
176#2427C2212yescomplemented
177#2426C2212yescomplemented
178#2425C2214yes—
179#2425C2214yes—
180#2424C2214yes—
181#2424C2214yes—
182#2424C2214yes—
183#2424C2214yes—
184#2423C2212yescomplemented
185#2422C2212yescomplemented
186#2420C2212yescomplemented
187#2419C2214yes—
188#2417C2212yes—
189#2416C2212yes—
190#2416C2212yes—
191#2414C2212yes—
192#2414C2214yes—
193#2413C2214yescomplemented
194#2412C2214yes—
195#2412C2214yes—
196#2407C2212yes—
197#2374C2214yescomplemented
198#2366C2212yes—
199#2366C2212yes—
200#2366C2211yescharacteristic, complemented
201#2365C2211yescharacteristic, complemented
202#2364C2214yes—
203#2363C2212yescomplemented
204#2363C2212yescomplemented
205#2363C2214yescomplemented
206#2362C2212yescomplemented
207#2361C2212yes—
208#2361C2214yescomplemented
209#2361C2212yescomplemented
210#2360C2212yes—
211#2359C2214yescomplemented
212#2359C2214yescomplemented
213#2358C2214yes—
214#2358C2214yes—
215#2358C2214yes—
216#2355C2212yescomplemented
217#2354C2211yescharacteristic
218#2354C2211yescharacteristic, complemented
219#2354C2214yescomplemented
220#2353C2214yescomplemented
221#2352C2214yes—
222#2352C2214yescomplemented
223Q8×C4⋊C4C2211yescharacteristic, complemented
224D4×C4⋊C4C2211yescharacteristic
225D4×C4⋊C4C2214yes—
226D4×C4⋊C4C2212yescomplemented
227#2345C2212yescomplemented
228#2341C2212yes—
229#2341C2212yescomplemented
230#2339C2212yes—
231#2335C2214yescomplemented
232#2324C2212yescomplemented
233#2324C2214yescomplemented
234#2324C2212yescomplemented
235#2324C2212yescomplemented
236#2324C2212yescomplemented
237#2323C2212yescomplemented
238#2323C2212yescomplemented
239#2317C2212yescomplemented
240#2314C2212yescomplemented
241#2311C2212yescomplemented
242C4×C4⋊Q8C2211yescharacteristic, complemented
243C4×#127C2212yes—
244C4×#127C2211yescharacteristic, complemented
245C4×#125C2211yescharacteristic, complemented
246C4×#125C2211yescharacteristic, complemented
247C4×#126C2212yescomplemented
248C4×#126C2212yescomplemented
249C4×#124C2211yescharacteristic, complemented
250C4×#124C2212yescomplemented
251C4×#124C2211yescharacteristic, complemented
252C4×C22⋊Q8C2211yescharacteristic
253C4×C22⋊Q8C2212yes—
254C4×C22⋊Q8C2211yescharacteristic
255C4×C22⋊Q8C2212yescomplemented
256C4×#123C2212yes—
257C4×#123C2212yes—
258C4×#121C2212yes—
259C4×#121C2212yes—
260C4×#121C2211yescharacteristic
261C4×#121C2212yes—
262C4×#121C2211yescharacteristic
263#2298C2212yescomplemented
264#2297C2212yes—
265#2295C2211yescharacteristic, complemented
266#2293C2211yescharacteristic
267#2293C2211yescharacteristic
268#2293C2212yes—
269#2293C2211yescharacteristic
270#2293C2211yescharacteristic
271#2293C2212yes—
272#2293C2212yes—
273#2293C2211yescharacteristic
274#2293C2211yescharacteristic
275#2293C2211yescharacteristic
276#2293C2212yes—
277#2293C2211yescharacteristic
278#2293C2212yescomplemented
279#2293C2212yescomplemented
280#2293C2212yescomplemented
281#2293C2211yescharacteristic, complemented
282C2×#390C2211yescharacteristic
283C2×#390C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286#2290C2212yes—
287C2×#388C2212yes—
288C2×#388C2212yes—
289#2283C2211yescharacteristic
290C2×#380C2212yes—
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2212yescomplemented
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#553—48no—
304#550—28no—
305#547—28no—
306#546—48no—
307#540—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2312yes—
313#529—28no—
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326#525—216no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361#520—48no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×D4—28no—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×#117—48no—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2314yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2312yes—
432C22×C42C2311yescharacteristic
433#401C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2311yescharacteristic
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2312yes—
714#384C2314yes—
715#383C2312yes—
716#383C2314yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—42no—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4—28no—
851C23×C4—28no—
852C23×C4—44no—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C4⋊Q8—24no—
876#127—28no—
877#127—24no—
878#127—44no—
879#127—44no—
880#126—28no—
881#126—48no—
882#126—48no—
883#125—24no—
884#125—44no—
885#125—44no—
886#125—44no—
887#124—24no—
888#124—44no—
889#124—44no—
890#124—44no—
891#123—216no—
892#123—28no—
893#123—216no—
894#123—48no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8#4118yescomplemented
903#121—28no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—216no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—48no—
921#121—48no—
922#120—216no—
923#120—48no—
924#120—48no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—44no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×D4—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—216no—
936C4×D4—24no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—216no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—44no—
946C4×D4—48no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—48no—
955C4×D4—48no—
956C4×D4#4118yes—
957#117—28no—
958#117—28no—
959#117—28no—
960#117—28no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—48no—
969#117—48no—
970#117—44no—
971C2×C4⋊C4—28no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—42no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—48no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C22⋊C4—28no—
1037C2×C22⋊C4—44no—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4—44no—
1040C2×C22⋊C4—48no—
1041C2×C22⋊C4—44no—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42—44no—
1111C2×C42—44no—
1112C2×C42—42no—
1113C2×C42—42no—
1114C2×C42—42no—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—24no—
1216C24—24no—
1217C24—24no—
1218C24—24no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24C2512yes—
1223C24C2512yes—
1224C24C2514yes—
1225C24C2512yes—
1226C24C2511yescharacteristic
1227#41—432no—
1228#41—816no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8C2×#4114yes—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—28no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—416no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4C2×#4114yes—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—28no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—28no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—28no—
1324C22×C4—24no—
1325C22×C4—42no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—432no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4C2×#4114yes—
1352C22×C4C2×#4118yes—
1353C22×C4H(5,𝔽2)14yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—28no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4C2×#4114yes—
1439C4⋊C4C2×#4114yes—
1440C4⋊C4C2×#4118yes—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4C2×#4118yes—
1504C22⋊C4C2×#4118yes—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—28no—
1513C42—24no—
1514C42—24no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—22no—
1531C42—24no—
1532C42—42no—
1533C42—41no—
1534C42—41no—
1535C42—42no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42—41no—
1540C42—41no—
1541C42—41no—
1542C42—42no—
1543C42—42no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—42no—
1548C42—44no—
1549C42C2×#4114yes—
1550C42H(5,𝔽2)14yes—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—24no—
1566C23—24no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—48no—
1583C23—48no—
1584C23—48no—
1585C23—48no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23C22×#4114yes—
1590C23C22×#4112yes—
1591C23C2×H(5,𝔽2)12yes—
1592C23#58512yes—
1593C23C2611yescharacteristic
1594Q8—28no—
1595Q8—48no—
1596D4—28no—
1597D4—48no—
1598D4—416no—
1599D4—416no—
1600D4—48no—
1601D4—44no—
1602D4—48no—
1603D4—48no—
1604D4—44no—
1605D4—84no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—164no—
1610D4—164no—
1611D4—164no—
1612D4—164no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—28no—
1632C2×C4—216no—
1633C2×C4—28no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—48no—
1692C2×C4—48no—
1693C2×C4—416no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—44no—
1701C2×C4—48no—
1702C2×C4—48no—
1703C2×C4—84no—
1704C2×C4—88no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—88no—
1708C2×C4—164no—
1709C2×C4—164no—
1710C2×C4C22×#4112yes—
1711C2×C4C22×#4114yes—
1712C2×C4C22×#4112yes—
1713C2×C4C22×#4114yes—
1714C2×C4C22×#4114yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4#58512yes—
1724C2×C4#58512yes—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—24no—
1732C22—24no—
1733C22—24no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—44no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—44no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—816no—
1760C22#351714yes—
1761C22C23×#4111yescharacteristic
1762C22C23×#4111yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—24no—
1772C4—22no—
1773C4—22no—
1774C4—22no—
1775C4—24no—
1776C4—24no—
1777C4—41no—
1778C4—41no—
1779C4—44no—
1780C4—42no—
1781C4—42no—
1782C4—44no—
1783C4—41no—
1784C4—42no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—42no—
1792C4—44no—
1793C4—42no—
1794C4—42no—
1795C4—42no—
1796C4#348114yes—
1797C4#349414yes—
1798C2—24no—
1799C2—44no—
1800C2—82no—
1801C2—84no—
1802C2—82no—
1803C2C2×#348111yescharacteristic
1804C2C2×#351711yescharacteristic
1805C2C2×#349411yescharacteristic
1806C2#6281011yescharacteristic
1807C2#6281611yescharacteristic
1808C2#6283011yescharacteristic
1809C2#6283411yescharacteristic
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. #59970C2semidirect
2. #59685C2semidirect
3. #59581C2semidirect
4. #59483C2semidirect
5. #59062C2semidirect
6. #59046C2semidirect
7. #39202C2semidirect
8. #39194C2semidirect
9. #38966C2semidirect
10. #38956C2semidirect
11. #38590C2semidirect
12. #38570C2semidirect
13. #38216C2semidirect
14. #38205C2semidirect
15. #36631C2semidirect
16. #36596C2semidirect
17. #36552C2semidirect
18. #36366C2semidirect
19. #36362C2semidirect
20. #36302C2semidirect
21. #36292C2semidirect
22. #36168C2semidirect
23. #36153C2semidirect
24. #36144C2semidirect
25. #36101C2semidirect
26. #35614C2semidirect
27. #35601C2semidirect
28. #35261C2semidirect
29. #35184C2semidirect
30. #35171C2semidirect
31. #34316C2semidirect
32. #34313C2semidirect
33. #34202C2semidirect
34. C4×#529C2semidirect
35. C2×#2293C2semidirect
40. C2×#540C22semidirect
44. C2×#520C22semidirect
47. #2863C22semidirect
49. #2861C22semidirect
50. #2860C22semidirect
51. #2860C22semidirect
52. #2859C22semidirect
53. #2858C22semidirect
60. #2854C22semidirect
65. #2801C22semidirect
66. #2800C22semidirect
67. #2797C22semidirect
68. #2790C22semidirect
69. #2768C22semidirect
70. #2753C22semidirect
71. #2753C22semidirect
72. #2752C22semidirect
73. #2741C22semidirect
74. #2740C22semidirect
75. #2722C22semidirect
76. #2718C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2661C22semidirect
82. #2654C22semidirect
83. #2629C22semidirect
84. #2624C22semidirect
85. #2624C22semidirect
86. #2619C22semidirect
87. #2602C22semidirect
88. #2598C22semidirect
89. #2597C22semidirect
90. #2594C22semidirect
91. #2591C22semidirect
92. #2590C22semidirect
93. #2578C22semidirect
94. #2576C22semidirect
95. #2568C22semidirect
99. #2554C22semidirect
100. #2554C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
103. #2552C22semidirect
109. #2541C22semidirect
113. #2531C22semidirect
114. #2531C22semidirect
115. #2526C22semidirect
116. #2525C22semidirect
117. #2522C22semidirect
118. #2518C22semidirect
119. #2516C22semidirect
120. #2513C22semidirect
121. #2512C22semidirect
122. #2511C22semidirect
124. #2510C22semidirect
125. #2508C22semidirect
126. #2508C22semidirect
128. #2504C22semidirect
131. #2500C22semidirect
132. #2495C22semidirect
133. #2494C22semidirect
134. #2494C22semidirect
136. #2490C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
140. #2478C22semidirect
141. #2476C22semidirect
142. #2476C22semidirect
143. #2476C22semidirect
145. #2471C22semidirect
146. #2471C22semidirect
147. #2471C22semidirect
148. #2470C22semidirect
149. #2467C22semidirect
152. #2464C22semidirect
153. #2457C22semidirect
156. #2453C22semidirect
157. #2453C22semidirect
159. #2448C22semidirect
160. #2447C22semidirect
162. #2445C22semidirect
165. #2442C22semidirect
166. #2441C22semidirect
167. #2441C22semidirect
171. #2431C22semidirect
173. #2428C22semidirect
175. #2427C22semidirect
176. #2427C22semidirect
177. #2426C22semidirect
184. #2423C22semidirect
185. #2422C22semidirect
186. #2420C22semidirect
193. #2413C22semidirect
197. #2374C22semidirect
200. #2366C22semidirect
201. #2365C22semidirect
203. #2363C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
206. #2362C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
211. #2359C22semidirect
212. #2359C22semidirect
216. #2355C22semidirect
218. #2354C22semidirect
219. #2354C22semidirect
220. #2353C22semidirect
222. #2352C22semidirect
223. Q8×C4⋊C4C22semidirect
226. D4×C4⋊C4C22semidirect
227. #2345C22semidirect
229. #2341C22semidirect
231. #2335C22semidirect
232. #2324C22semidirect
233. #2324C22semidirect
234. #2324C22semidirect
235. #2324C22semidirect
236. #2324C22semidirect
237. #2323C22semidirect
238. #2323C22semidirect
239. #2317C22semidirect
240. #2314C22semidirect
241. #2311C22semidirect
242. C4×C4⋊Q8C22semidirect
244. C4×#127C22semidirect
245. C4×#125C22semidirect
246. C4×#125C22semidirect
247. C4×#126C22semidirect
248. C4×#126C22semidirect
249. C4×#124C22semidirect
250. C4×#124C22semidirect
251. C4×#124C22semidirect
255. C4×C22⋊Q8C22semidirect
263. #2298C22semidirect
265. #2295C22semidirect
278. #2293C22semidirect
279. #2293C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
294. C42×D4C22semidirect
295. C4×#117C22semidirect
902. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599702
#596852
#595812
#594832
#590622
#590462
#392022
#391942
#389662
#389562
#385902
#385702
#382162
#382052
#366312
#365962
#365522
#363662
#363622
#363022
#362922
#361682
#361532
#361442
#361012
#356142
#356012
#352612
#351842
#351712
#343162
#343132
#342022
C4×#5292
C2×#22932