Finite Group Databasebeta

← #7746770

Subgroups — #7746770

Order 512.

5049 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45333C212yesmaximal, complemented
2#45331C212yesmaximal, complemented
3#45330C212yesmaximal, complemented
4#45275C212yesmaximal, complemented
5#45120C212yesmaximal, complemented
6#45109C212yesmaximal, complemented
7#44972C212yesmaximal, complemented
8#44972C212yesmaximal, complemented
9#44971C212yesmaximal, complemented
10#44956C212yesmaximal, complemented
11#44917C212yesmaximal, complemented
12#44914C212yesmaximal, complemented
13#42924C212yesmaximal, complemented
14#42921C212yesmaximal, complemented
15#42513C212yesmaximal, complemented
16#42512C212yesmaximal, complemented
17#42458C212yesmaximal, complemented
18#42455C212yesmaximal, complemented
19#36210C211yesmaximal, characteristic, complemented
20#36209C211yesmaximal, characteristic, complemented
21#36194C211yesmaximal, characteristic, complemented
22#36189C211yesmaximal, characteristic, complemented
23#36188C211yesmaximal, characteristic, complemented
24#36181C211yesmaximal, characteristic, complemented
25#36180C211yesmaximal, characteristic, complemented
26#36180C211yesmaximal, characteristic, complemented
27#36089C212yesmaximal, complemented
28#35936C212yesmaximal, complemented
29#35926C212yesmaximal, complemented
30#35747C212yesmaximal, complemented
31#35699C212yesmaximal, complemented
32#35688C212yesmaximal, complemented
33#35297C211yesmaximal, characteristic, complemented
34#35280C211yesmaximal, characteristic, complemented
35#35275C211yesmaximal, characteristic, complemented
36#34547C211yesmaximal, characteristic
37#34225C211yesmaximal, characteristic, complemented
38#34188C211yesmaximal, characteristic, complemented
39#34183C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#554C2212yes—
42C2×#554C2212yes—
43C2×#552C2212yes—
44C2×#544C2212yes—
45C2×#533C2211yescharacteristic
46C2×#520C2212yes—
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49#2868C2211yescharacteristic
50#2868C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2857C2211yescharacteristic
61#2839C2214yes—
62#2838C2214yes—
63#2802C2214yes—
64#2787C2214yes—
65#2782C2214yes—
66#2774C2214yes—
67#2770C2214yes—
68#2770C2214yes—
69#2766C2214yes—
70#2765C2214yes—
71#2764C2214yes—
72#2763C2214yes—
73#2757C2214yes—
74#2757C2214yes—
75#2757C2214yes—
76#2729C2214yes—
77#2728C2214yes—
78#2725C2214yes—
79#2725C2214yes—
80#2723C2214yes—
81#2723C2214yes—
82#2719C2214yes—
83#2698C2214yes—
84#2690C2214yes—
85#2690C2214yes—
86#2674C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2664C2214yes—
90#2660C2212yes—
91#2660C2212yes—
92#2652C2214yes—
93#2638C2214yes—
94#2637C2214yes—
95#2629C2212yes—
96#2629C2212yes—
97#2625C2212yes—
98#2616C2212yes—
99#2612C2214yes—
100#2611C2214yes—
101#2606C2214yes—
102#2606C2214yes—
103#2603C2214yes—
104#2603C2214yes—
105#2600C2214yes—
106#2587C2214yes—
107#2587C2214yes—
108#2586C2214yes—
109#2585C2214yes—
110#2584C2212yes—
111#2582C2212yes—
112#2582C2212yes—
113#2581C2212yes—
114#2571C2212yes—
115#2570C2212yes—
116#2568C2212yes—
117#2567C2212yes—
118#2567C2212yes—
119#2565C2212yes—
120#2563C2212yes—
121#2562C2212yes—
122#2562C2212yes—
123#2556C2214yes—
124#2556C2214yes—
125#2552C2212yes—
126#2552C2212yes—
127#2552C2212yes—
128#2552C2212yes—
129#2552C2212yes—
130#2552C2212yes—
131#2551C2212yes—
132#2551C2212yes—
133#2550C2214yes—
134#2547C2212yes—
135#2547C2212yes—
136#2538C2212yes—
137#2538C2212yes—
138#2538C2212yes—
139#2536C2212yes—
140#2536C2214yes—
141#2536C2212yes—
142#2514C2212yes—
143#2511C2212yes—
144#2509C2212yes—
145#2508C2212yes—
146#2508C2212yes—
147#2507C2212yes—
148#2506C2212yes—
149#2506C2212yes—
150#2503C2212yes—
151#2502C2212yes—
152#2502C2212yes—
153#2502C2212yes—
154#2502C2212yes—
155#2499C2212yes—
156#2499C2212yes—
157#2499C2212yes—
158#2497C2212yes—
159#2497C2212yes—
160#2497C2212yes—
161#2496C2212yes—
162#2496C2212yes—
163#2496C2212yes—
164#2496C2212yes—
165#2496C2212yes—
166#2496C2212yes—
167#2495C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2494C2212yes—
171#2494C2212yes—
172#2492C2212yes—
173#2492C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2487C2212yes—
177#2486C2212yes—
178#2486C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2485C2212yes—
183#2485C2212yes—
184#2475C2214yes—
185#2468C2214yes—
186#2468C2214yes—
187#2466C2214yes—
188#2465C2214yes—
189#2463C2214yes—
190#2462C2214yes—
191#2462C2214yes—
192#2461C2214yes—
193#2461C2214yes—
194#2461C2214yes—
195#2460C2214yes—
196#2460C2214yes—
197#2442C2212yes—
198#2441C2212yes—
199#2440C2212yes—
200#2440C2212yes—
201#2440C2212yes—
202#2440C2212yes—
203#2440C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2212yes—
209#2440C2212yes—
210#2440C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2429C2214yes—
214#2423C2212yes—
215#2421C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2415C2212yes—
222#2415C2212yes—
223#2415C2212yes—
224#2415C2214yes—
225#2399C2211yescharacteristic
226#2399C2214yes—
227#2398C2211yescharacteristic
228#2398C2211yescharacteristic
229#2397C2211yescharacteristic
230#2396C2211yescharacteristic
231#2396C2211yescharacteristic
232#2396C2211yescharacteristic
233#2396C2211yescharacteristic
234#2395C2211yescharacteristic
235#2395C2211yescharacteristic
236#2395C2211yescharacteristic
237#2395C2211yescharacteristic
238#2392C2211yescharacteristic
239#2392C2211yescharacteristic
240#2392C2211yescharacteristic
241#2392C2214yes—
242#2392C2211yescharacteristic
243#2392C2211yescharacteristic
244#2392C2211yescharacteristic
245#2392C2211yescharacteristic
246#2392C2211yescharacteristic
247#2388C2211yescharacteristic
248#2388C2211yescharacteristic
249#2388C2211yescharacteristic
250#2388C2211yescharacteristic
251#2370C2212yes—
252#2370C2212yes—
253#2370C2212yes—
254#2369C2212yes—
255#2365C2212yes—
256#2365C2212yes—
257#2362C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2360C2212yes—
261#2356C2212yes—
262#2356C2212yes—
263#2355C2212yes—
264#2355C2212yes—
265#2355C2212yes—
266#2354C2212yes—
267#2354C2212yes—
268#2354C2212yes—
269#2352C2212yes—
270#2352C2212yes—
271#2352C2212yes—
272#2352C2212yes—
273#2352C2212yes—
274#2351C2212yes—
275Q8×C4⋊C4C2212yes—
276Q8×C4⋊C4C2212yes—
277D4×C4⋊C4C2212yes—
278D4×C4⋊C4C2212yes—
279D4×C4⋊C4C2212yes—
280D4×C4⋊C4C2212yes—
281D4×C4⋊C4C2212yes—
282D4×C4⋊C4C2212yes—
283D4×C4⋊C4C2212yes—
284D4×C4⋊C4C2212yes—
285D4×C4⋊C4C2212yes—
286D4×C4⋊C4C2212yes—
287#2347C2212yes—
288#2347C2212yes—
289#2346C2212yes—
290#2346C2212yes—
291#2346C2212yes—
292#2345C2212yes—
293#2344C2212yes—
294#2344C2212yes—
295#2323C2212yes—
296#2323C2212yes—
297#2323C2212yes—
298#2323C2212yes—
299#2320C2212yes—
300#2317C2212yes—
301#2317C2212yes—
302#2317C2212yes—
303#2317C2212yes—
304#2316C2212yes—
305#2314C2212yes—
306#2314C2212yes—
307#2311C2212yes—
308#2311C2212yes—
309C4×C4⋊Q8C2211yescharacteristic
310C4×C4⋊Q8C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313#2285C2211yescharacteristic
314#2285C2211yescharacteristic
315#2285C2211yescharacteristic
316#2285C2211yescharacteristic
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic
319#2285C2211yescharacteristic
320C2×#384C2211yescharacteristic
321C2×#384C2211yescharacteristic
322C2×#384C2211yescharacteristic
323C2×#384C2211yescharacteristic
324#2276C2212yes—
325#2274C2212yes—
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C42×D4C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C22×#41C2311yescharacteristic
332C22×#41C2311yescharacteristic
333#556—48no—
334#554—48no—
335#554—48no—
336#552—48no—
337#544—48no—
338#533—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#124C2314yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376#520—48no—
377C4×#41—28no—
378C4×#41—28no—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2314yes—
390C2×C4×Q8C2314yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2311yescharacteristic
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2311yescharacteristic
430C2×#117C2311yescharacteristic
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2314yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454#401C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2311yescharacteristic
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2311yescharacteristic
470#400C2311yescharacteristic
471#400C2311yescharacteristic
472#399C2314yes—
473#399C2311yescharacteristic
474#399C2311yescharacteristic
475#399C2311yescharacteristic
476#399C2311yescharacteristic
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2311yescharacteristic
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2311yescharacteristic
494#398C2311yescharacteristic
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2311yescharacteristic
500#398C2311yescharacteristic
501#398C2311yescharacteristic
502#398C2311yescharacteristic
503#398C2311yescharacteristic
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#397C2311yescharacteristic
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2311yescharacteristic
519#397C2311yescharacteristic
520#397C2311yescharacteristic
521#397C2311yescharacteristic
522#397C2311yescharacteristic
523#397C2311yescharacteristic
524#397C2311yescharacteristic
525#397C2314yes—
526#397C2314yes—
527#396C2314yes—
528#396C2311yescharacteristic
529#396C2311yescharacteristic
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2311yescharacteristic
536#396C2311yescharacteristic
537#396C2311yescharacteristic
538#396C2311yescharacteristic
539#396C2311yescharacteristic
540#396C2311yescharacteristic
541#396C2314yes—
542#395C2314yes—
543#395C2314yes—
544#395C2314yes—
545#395C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2311yescharacteristic
549#395C2314yes—
550#395C2311yescharacteristic
551#395C2311yescharacteristic
552#395C2311yescharacteristic
553#395C2314yes—
554#395C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2311yescharacteristic
561#394C2311yescharacteristic
562#394C2311yescharacteristic
563#394C2311yescharacteristic
564#394C2311yescharacteristic
565#394C2311yescharacteristic
566#394C2311yescharacteristic
567#394C2311yescharacteristic
568#394C2311yescharacteristic
569#394C2311yescharacteristic
570#394C2311yescharacteristic
571#394C2311yescharacteristic
572#394C2311yescharacteristic
573#394C2311yescharacteristic
574#394C2311yescharacteristic
575#394C2311yescharacteristic
576#393C2314yes—
577#393C2314yes—
578#393C2311yescharacteristic
579#393C2311yescharacteristic
580#393C2311yescharacteristic
581#393C2311yescharacteristic
582#392C2311yescharacteristic
583#392C2311yescharacteristic
584#392C2311yescharacteristic
585#392C2311yescharacteristic
586#392C2311yescharacteristic
587#392C2311yescharacteristic
588#392C2311yescharacteristic
589#392C2311yescharacteristic
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2314yes—
604#391C2314yes—
605#391C2312yes—
606#391C2314yes—
607#391C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#389C2314yes—
645#389C2312yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
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#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#383C2314yes—
763#383C2314yes—
764#383C2314yes—
765#382C2314yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2312yes—
771#382C2312yes—
772#382C2312yes—
773#382C2312yes—
774#382C2314yes—
775#382C2312yes—
776#382C2314yes—
777#382C2314yes—
778#381C2314yes—
779#381C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2314yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2312yes—
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2312yes—
847C4×C4⋊C4C2312yes—
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2314yes—
851C4×C4⋊C4C2311yescharacteristic
852C4×C4⋊C4C2311yescharacteristic
853C4×C4⋊C4C2311yescharacteristic
854C4×C4⋊C4C2311yescharacteristic
855C4×C4⋊C4C2311yescharacteristic
856C4×C4⋊C4C2311yescharacteristic
857C4×C4⋊C4C2311yescharacteristic
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2314yes—
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882C4×C22⋊C4C2311yescharacteristic
883C4×C22⋊C4C2311yescharacteristic
884C4×C22⋊C4C2311yescharacteristic
885C4×C22⋊C4C2311yescharacteristic
886C4×C22⋊C4C2311yescharacteristic
887C4×C22⋊C4C2311yescharacteristic
888C4×C22⋊C4C2311yescharacteristic
889#376C2311yescharacteristic
890#376C2314yes—
891#376C2314yes—
892#376C2311yescharacteristic
893C43C2311yescharacteristic
894C43C2311yescharacteristic
895C2×#41—24no—
896C2×#41—24no—
897C2×#41—24no—
898C2×#41—24no—
899C2×#41—24no—
900C2×#41—42no—
901C22×Q8C2411yescharacteristic
902C22×Q8C2412yes—
903C22×Q8C2412yes—
904C22×Q8C2411yescharacteristic
905C22×Q8C2414yes—
906C22×Q8C2414yes—
907C22×D4C2411yescharacteristic
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2411yescharacteristic
911C22×D4C2411yescharacteristic
912C22×D4C2411yescharacteristic
913C22×D4C2411yescharacteristic
914C22×D4C2411yescharacteristic
915C22×D4C2411yescharacteristic
916C22×D4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939C4⋊Q8—44no—
940C4⋊Q8—44no—
941C4⋊Q8—44no—
942C4⋊Q8—44no—
943C4⋊Q8—44no—
944C4⋊Q8—48no—
945#126—48no—
946#126—48no—
947#126—48no—
948#125—28no—
949#125—28no—
950#125—44no—
951#125—48no—
952#125—48no—
953#125—48no—
954#125—48no—
955#124—48no—
956#123—48no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—48no—
962C22⋊Q8—48no—
963C22⋊Q8—48no—
964C22⋊Q8—48no—
965C22⋊Q8—48no—
966C22⋊Q8—48no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C4×Q8—24no—
974C4×Q8—24no—
975C4×Q8—24no—
976C4×Q8—24no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—28no—
981C4×Q8—48no—
982C4×Q8—48no—
983C4×Q8—44no—
984C4×Q8—44no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—48no—
1008C4×D4—48no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—48no—
1012C4×D4—48no—
1013C4×D4—48no—
1014#117—24no—
1015#117—24no—
1016#117—28no—
1017#117—28no—
1018#117—28no—
1019#117—24no—
1020#117—24no—
1021#117—24no—
1022#117—24no—
1023#117—24no—
1024#117—24no—
1025#117—48no—
1026#117—44no—
1027#117—44no—
1028#117—44no—
1029#117—44no—
1030#117—44no—
1031C2×C4⋊C4—28no—
1032C2×C4⋊C4—44no—
1033C2×C4⋊C4—44no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2411yescharacteristic
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C42—24no—
1186C2×C42—24no—
1187C2×C42—24no—
1188C2×C42—24no—
1189C2×C42#4118yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2414yes—
1222C2×C42C2414yes—
1223C2×C42C2414yes—
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2411yescharacteristic
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304C24C2511yescharacteristic
1305C24C2511yescharacteristic
1306C24C2511yescharacteristic
1307C24C2511yescharacteristic
1308C24C2511yescharacteristic
1309#41—232no—
1310#41—416no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—28no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—41no—
1324C2×Q8—44no—
1325C2×Q8—44no—
1326C2×Q8—44no—
1327C2×Q8—44no—
1328C2×Q8—44no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—28no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4C2×#4114yes—
1411C22×C4C2×#4114yes—
1412C22×C4C2×#4114yes—
1413C22×C4H(5,𝔽2)14yes—
1414C22×C42−1+414yes—
1415C22×C42−1+414yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2514yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2514yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2514yes—
1427C22×C4C2514yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2514yes—
1434C22×C4C2514yes—
1435C22×C4C2514yes—
1436C22×C4C2514yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—28no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—22no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—28no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—28no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—44no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—41no—
1521C4⋊C4—41no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—28no—
1551C22⋊C4—22no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—22no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—22no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—41no—
1584C22⋊C4—41no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—28no—
1605C42—28no—
1606C42—22no—
1607C42—28no—
1608C42—22no—
1609C42—22no—
1610C42—28no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—28no—
1617C42—22no—
1618C42—22no—
1619C42—44no—
1620C42—44no—
1621C42—44no—
1622C42—44no—
1623C42—44no—
1624C42—44no—
1625C42—44no—
1626C42C2×#4114yes—
1627C42C2×#4114yes—
1628C42C2×#4114yes—
1629C42C2×#4114yes—
1630C42H(5,𝔽2)14yes—
1631C422−1+414yes—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23C22×#4112yes—
1664C23C2×H(5,𝔽2)12yes—
1665C23C2×2−1+412yes—
1666C23C2×2−1+412yes—
1667C23C2611yescharacteristic
1668Q8—28no—
1669Q8—44no—
1670Q8—48no—
1671Q8—48no—
1672Q8—88no—
1673Q8—164no—
1674D4—28no—
1675D4—28no—
1676D4—28no—
1677D4—28no—
1678D4—28no—
1679D4—44no—
1680D4—44no—
1681D4—44no—
1682D4—44no—
1683D4—44no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—28no—
1705C2×C4—28no—
1706C2×C4—28no—
1707C2×C4—28no—
1708C2×C4—28no—
1709C2×C4—28no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—24no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—24no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—24no—
1732C2×C4—24no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—24no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—24no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—88no—
1783C2×C4—164no—
1784C2×C4—164no—
1785C2×C4—164no—
1786C2×C4C22×#4112yes—
1787C2×C4C22×#4112yes—
1788C2×C4C22×#4112yes—
1789C2×C4C22×#4112yes—
1790C2×C4C22×#4112yes—
1791C2×C4C22×#4112yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×H(5,𝔽2)12yes—
1797C2×C4C2×2−1+412yes—
1798C2×C4C2×2−1+412yes—
1799C2×C4C2×2−1+412yes—
1800C2×C4C2×2−1+412yes—
1801C2×C4C2×2−1+412yes—
1802C2×C4C2×2−1+412yes—
1803C2×C4C2×2−1+412yes—
1804C2×C4#58512yes—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22C23×#4111yescharacteristic
1841C22C22×H(5,𝔽2)11yescharacteristic
1842C22C22×H(5,𝔽2)11yescharacteristic
1843C22C22×2−1+411yescharacteristic
1844C22C22×2−1+411yescharacteristic
1845C22C22×2−1+411yescharacteristic
1846C22C2×#58511yescharacteristic
1847C4—22no—
1848C4—22no—
1849C4—22no—
1850C4—22no—
1851C4—22no—
1852C4—22no—
1853C4—22no—
1854C4—22no—
1855C4—22no—
1856C4—22no—
1857C4—41no—
1858C4—41no—
1859C4—44no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—44no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—44no—
1869C4—41no—
1870C4—41no—
1871C4—44no—
1872C4—44no—
1873C4—44no—
1874C4—44no—
1875C4—44no—
1876C4—41no—
1877C4—41no—
1878C4#349214yes—
1879C4#349514yes—
1880C4#351114yes—
1881C2—42no—
1882C2—42no—
1883C2—42no—
1884C2—42no—
1885C2—81no—
1886C2C2×#349211yescharacteristic
1887C2C2×#351111yescharacteristic
1888C2C2×#349511yescharacteristic
1889C2#6283311yescharacteristic
1890C2#6283311yescharacteristic
1891C2#6283411yescharacteristic
1892C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34547C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45333C2semidirect
2. #45331C2semidirect
3. #45330C2semidirect
4. #45275C2semidirect
5. #45120C2semidirect
6. #45109C2semidirect
7. #44972C2semidirect
8. #44972C2semidirect
9. #44971C2semidirect
10. #44956C2semidirect
11. #44917C2semidirect
12. #44914C2semidirect
13. #42924C2semidirect
14. #42921C2semidirect
15. #42513C2semidirect
16. #42512C2semidirect
17. #42458C2semidirect
18. #42455C2semidirect
19. #36210C2semidirect
20. #36209C2semidirect
21. #36194C2semidirect
22. #36189C2semidirect
23. #36188C2semidirect
24. #36181C2semidirect
25. #36180C2semidirect
26. #36180C2semidirect
27. #36089C2semidirect
28. #35936C2semidirect
29. #35926C2semidirect
30. #35747C2semidirect
31. #35699C2semidirect
32. #35688C2semidirect
33. #35297C2semidirect
34. #35280C2semidirect
35. #35275C2semidirect
37. #34225C2semidirect
38. #34188C2semidirect
39. #34183C2semidirect

Maximal subgroups

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

subgroupindex
#453332
#453312
#453302
#452752
#451202
#451092
#449722
#449712
#449562
#449172
#449142
#429242
#429212
#425132
#425122
#424582
#424552
#362102
#362092
#361942
#361892
#361882
#361812
#361802
#360892
#359362
#359262
#357472
#356992
#356882
#352972
#352802
#352752
#345472
#342252
#341882
#341832