Finite Group Databasebeta

← #7968146

Subgroups — #7968146

Order 512.

5224 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59659C211yesmaximal, characteristic, complemented
2#59650C212yesmaximal, complemented
3#59314C211yesmaximal, characteristic, complemented
4#59244C211yesmaximal, characteristic, complemented
5#59025C212yesmaximal, complemented
6#51701C214yesmaximal, complemented
7#48286C214yesmaximal, complemented
8#45717C212yesmaximal, complemented
9#45670C212yesmaximal, complemented
10#45406C212yesmaximal, complemented
11#45360C212yesmaximal, complemented
12#43203C214yesmaximal, complemented
13#42904C212yesmaximal, complemented
14#42583C212yesmaximal, complemented
15#40789C214yesmaximal, complemented
16#39759C212yesmaximal, complemented
17#39239C212yesmaximal, complemented
18#39136C212yesmaximal, complemented
19#38978C211yesmaximal, characteristic, complemented
20#38938C212yesmaximal, complemented
21#38922C211yesmaximal, characteristic, complemented
22#38110C212yesmaximal, complemented
23Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
24#36456C211yesmaximal, characteristic, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36160C211yesmaximal, characteristic, complemented
27#36114C211yesmaximal, characteristic, complemented
28#36108C212yesmaximal, complemented
29#35189C211yesmaximal, characteristic, complemented
30#35177C211yesmaximal, characteristic, complemented
31#35079C212yesmaximal, complemented
32C2×#2538C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34464C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#556C2212yescomplemented
38C2×#555C2211yescharacteristic
39C2×#554C2212yes—
40C2×#546C2211yescharacteristic
41C2×#529C2211yescharacteristic, complemented
42C2×#529C2212yescomplemented
43C22×C22⋊Q8C2212yes—
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47#2859C2211yescharacteristic, complemented
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2857C2211yescharacteristic, complemented
53#2855C2212yescomplemented
54#2851C2212yescomplemented
55#2851C2212yescomplemented
56#2850C2212yescomplemented
57#2847C2212yes—
58#2837C2214yescomplemented
59#2830C2214yescomplemented
60#2810C2214yescomplemented
61#2798C2214yescomplemented
62#2798C2214yescomplemented
63#2796C2214yes—
64#2793C2214yescomplemented
65#2790C2214yescomplemented
66#2788C2214yescomplemented
67#2784C2214yescomplemented
68#2783C2214yescomplemented
69#2781C2214yescomplemented
70#2777C2214yescomplemented
71#2772C2214yescomplemented
72#2761C2214yescomplemented
73#2756C2214yescomplemented
74#2751C2214yes—
75#2740C2214yescomplemented
76#2731C2214yescomplemented
77#2730C2214yes—
78#2727C2214yescomplemented
79#2727C2214yescomplemented
80#2720C2214yescomplemented
81#2715C2214yescomplemented
82#2715C2214yescomplemented
83#2711C2214yes—
84#2705C2214yes—
85#2705C2214yescomplemented
86#2700C2214yescomplemented
87#2700C2214yescomplemented
88#2696C2214yes—
89#2692C2214yescomplemented
90#2689C2214yescomplemented
91#2686C2214yescomplemented
92#2672C2214yescomplemented
93#2667C2214yescomplemented
94#2665C2214yescomplemented
95#2665C2214yescomplemented
96#2654C2214yescomplemented
97#2644C2212yes—
98#2639C2214yes—
99#2630C2214yescomplemented
100#2624C2212yes—
101#2620C2214yescomplemented
102#2601C2214yescomplemented
103#2582C2211yescharacteristic, complemented
104#2582C2212yescomplemented
105#2573C2214yescomplemented
106#2570C2212yescomplemented
107#2569C2214yescomplemented
108#2567C2211yescharacteristic, complemented
109#2567C2212yescomplemented
110#2563C2211yescharacteristic
111#2563C2212yescomplemented
112#2560C2214yescomplemented
113#2560C2214yescomplemented
114#2558C2214yes—
115#2551C2211yescharacteristic, complemented
116#2549C2214yescomplemented
117#2545C2214yescomplemented
118#2542C2212yescomplemented
119#2540C2214yes—
120#2538C2211yescharacteristic
121#2538C2211yescharacteristic
122#2538C2211yescharacteristic
123#2538C2212yes—
124#2538C2212yes—
125#2538C2212yes—
126#2538C2212yes—
127#2538C2211yescharacteristic
128#2538C2214yes—
129#2538C2211yescharacteristic, complemented
130#2538C2214yescomplemented
131#2538C2212yescomplemented
132#2537C2211yescharacteristic
133#2537C2212yescomplemented
134#2512C2212yes—
135#2511C2212yescomplemented
136#2509C2212yescomplemented
137#2509C2212yescomplemented
138#2507C2212yescomplemented
139#2506C2212yescomplemented
140#2499C2212yescomplemented
141#2497C2212yescomplemented
142#2497C2212yescomplemented
143#2496C2212yescomplemented
144#2496C2212yescomplemented
145#2495C2212yescomplemented
146#2492C2212yescomplemented
147#2491C2212yes—
148#2491C2212yes—
149#2491C2212yescomplemented
150#2489C2212yescomplemented
151#2488C2214yescomplemented
152#2487C2212yes—
153#2487C2212yes—
154#2485C2212yes—
155#2485C2212yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2481C2214yes—
159#2481C2214yes—
160#2481C2212yes—
161#2480C2214yes—
162#2477C2214yescomplemented
163#2472C2214yes—
164#2472C2214yes—
165#2472C2214yes—
166#2470C2214yescomplemented
167#2469C2214yescomplemented
168#2469C2212yescomplemented
169#2466C2214yescomplemented
170#2465C2214yescomplemented
171#2465C2214yescomplemented
172#2459C2214yes—
173#2458C2212yescomplemented
174#2453C2211yescharacteristic, complemented
175#2452C2212yes—
176#2452C2212yes—
177#2452C2214yescomplemented
178#2451C2212yescomplemented
179#2451C2214yescomplemented
180#2450C2214yescomplemented
181#2449C2214yes—
182#2448C2212yes—
183#2448C2211yescharacteristic, complemented
184#2443C2212yes—
185#2442C2211yescharacteristic
186#2442C2212yes—
187#2441C2212yescomplemented
188#2441C2212yescomplemented
189#2441C2212yescomplemented
190#2440C2212yes—
191#2440C2212yes—
192#2440C2214yes—
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2439C2212yescomplemented
196#2439C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2214yescomplemented
199#2437C2214yes—
200#2437C2214yes—
201#2436C2211yescharacteristic
202#2427C2212yescomplemented
203#2426C2212yes—
204#2426C2212yescomplemented
205#2426C2211yescharacteristic, complemented
206#2424C2214yes—
207#2423C2212yescomplemented
208#2423C2212yescomplemented
209#2422C2212yes—
210#2421C2212yescomplemented
211#2421C2212yescomplemented
212#2421C2211yescharacteristic, complemented
213#2420C2212yes—
214#2420C2212yescomplemented
215#2417C2212yes—
216#2416C2212yes—
217#2416C2211yescharacteristic
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2414C2212yes—
221#2414C2212yescomplemented
222#2412C2214yes—
223#2409C2211yescharacteristic
224#2408C2212yes—
225#2407C2212yes—
226#2398C2212yescomplemented
227#2396C2212yescomplemented
228C2×#396C2214yes—
229#2382C2214yescomplemented
230#2378C2214yescomplemented
231#2367C2211yescharacteristic
232#2365C2212yescomplemented
233#2364C2212yes—
234#2363C2212yes—
235#2363C2211yescharacteristic
236#2362C2212yescomplemented
237#2362C2212yescomplemented
238#2361C2212yes—
239#2361C2212yes—
240#2360C2212yes—
241#2360C2211yescharacteristic
242#2360C2214yes—
243#2359C2212yes—
244#2358C2214yes—
245#2358C2212yes—
246#2354C2211yescharacteristic
247#2352C2214yes—
248#2352C2212yes—
249#2352C2212yes—
250#2352C2211yescharacteristic
251#2351C2212yescomplemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253Q8×C4⋊C4C2211yescharacteristic, complemented
254Q8×C4⋊C4C2212yescomplemented
255#2349C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic, complemented
257#2345C2212yes—
258#2344C2212yescomplemented
259#2342C2212yes—
260#2341C2212yes—
261Q8×C22⋊C4C2212yes—
262#2339C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264#2336C2214yescomplemented
265#2331C2212yescomplemented
266#2329C2214yes—
267#2329C2214yes—
268#2324C2212yes—
269#2323C2212yescomplemented
270#2323C2214yescomplemented
271#2320C2212yescomplemented
272#2319C2212yes—
273#2318C2214yes—
274#2316C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic, complemented
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#120C2212yes—
288#2295C2211yescharacteristic, complemented
289C2×#390C2212yes—
290C2×#389C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic, complemented
293C2×#384C2211yescharacteristic
294#2280C2212yes—
295C2×#380C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303Q82—44no—
304#556—48no—
305#555—44no—
306#554—216no—
307#546—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314#529—44no—
315#529—48no—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#125C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×C22⋊Q8—48no—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2314yes—
361C2×#120C2312yes—
362C2×#120C2314yes—
363C4×#41—44no—
364C2×C4×Q8—44no—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2314yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×D4—44no—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2312yes—
425C22×C42C2312yes—
426C22×C42C2312yes—
427#400C2312yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2312yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#393C2312yes—
510#393C2312yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2312yes—
517#393C2314yes—
518#393C2314yes—
519#392C2314yes—
520#392C2314yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2314yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2314yes—
718#384C2312yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#383C2314yes—
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#381C2312yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#379C2312yes—
769#379C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2312yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C25C2412yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—42no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—42no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—42no—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C23×C4—28no—
850C23×C4—44no—
851C23×C4—44no—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C4⋊Q8—28no—
873C4⋊Q8—24no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—48no—
878#126—44no—
879#126—48no—
880#126—48no—
881#126—48no—
882#125—216no—
883#125—42no—
884#125—44no—
885#124—24no—
886#124—24no—
887#124—48no—
888#124—42no—
889#124—48no—
890#124—84no—
891#123—28no—
892#123—48no—
893#123—44no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—24no—
898C22⋊Q8—216no—
899C22⋊Q8—216no—
900C22⋊Q8—48no—
901C22⋊Q8—44no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—84no—
908C22⋊Q8—84no—
909C22⋊Q8—82no—
910C22⋊Q8—84no—
911C22⋊Q8#4118yes—
912#121—28no—
913#121—24no—
914#121—24no—
915#121—28no—
916#121—42no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—84no—
922#120—28no—
923#120—48no—
924C4×Q8—28no—
925C4×Q8—28no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×Q8—48no—
932C4×Q8—42no—
933C4×Q8—42no—
934C4×Q8—42no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—82no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—216no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4—42no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—42no—
959#117—44no—
960#117—44no—
961#117—48no—
962#117—42no—
963#117—44no—
964#117—44no—
965#117—44no—
966#117—44no—
967C2×C4⋊C4—28no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—42no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—48no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—82no—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C22⋊C4—28no—
1044C2×C22⋊C4—44no—
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—44no—
1047C2×C22⋊C4—84no—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C42—24no—
1110C2×C42—24no—
1111C2×C42—44no—
1112C2×C42—44no—
1113C2×C42—44no—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209C24—24no—
1210C24—24no—
1211C24—24no—
1212C24—24no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2511yescharacteristic
1219C24C2512yes—
1220C24C2511yescharacteristic
1221#41—416no—
1222C2×Q8—28no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—42no—
1234C2×Q8—44no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—416no—
1242C2×Q8C2×#4114yes—
1243C2×Q8H(5,𝔽2)14yes—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—416no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D42−1+414yes—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—28no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—41no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—44no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—816no—
1337C22×C4C2×#4114yes—
1338C22×C42−1+414yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—28no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—28no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—41no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4C2×#4114yes—
1436C4⋊C4C2×#4118yes—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—22no—
1441C22⋊C4—28no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—22no—
1461C22⋊C4—24no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—41no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4C2×#4118yes—
1498C42—22no—
1499C42—28no—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—28no—
1513C42—22no—
1514C42—22no—
1515C42—42no—
1516C42—42no—
1517C42—42no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C42—41no—
1525C42—44no—
1526C42—41no—
1527C42—44no—
1528C42H(5,𝔽2)14yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—21no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—21no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—21no—
1560C23—48no—
1561C23—48no—
1562C23—48no—
1563C23—48no—
1564C23—84no—
1565C23—84no—
1566C23—84no—
1567C23C22×#4112yes—
1568C23C2×2−1+414yes—
1569C23C2×2−1+412yes—
1570C23#58512yes—
1571C23C2611yescharacteristic
1572Q8—28no—
1573Q8—28no—
1574Q8—48no—
1575Q8—44no—
1576Q8—88no—
1577Q8—84no—
1578Q8—164no—
1579D4—28no—
1580D4—48no—
1581D4—48no—
1582D4—48no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—84no—
1587D4—88no—
1588D4—84no—
1589D4—164no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—28no—
1603C2×C4—28no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—44no—
1671C2×C4—48no—
1672C2×C4—48no—
1673C2×C4—48no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—84no—
1679C2×C4—88no—
1680C2×C4—82no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—88no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4C22×#4114yes—
1689C2×C4C22×#4112yes—
1690C2×C4C22×#4114yes—
1691C2×C4C22×#4112yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×H(5,𝔽2)14yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×2−1+412yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—24no—
1707C22—24no—
1708C22—24no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—42no—
1720C22—41no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—41no—
1732C22—42no—
1733C22—42no—
1734C22—816no—
1735C22#351814yes—
1736C22C23×#4111yescharacteristic
1737C22C22×H(5,𝔽2)11yescharacteristic
1738C22C22×H(5,𝔽2)11yescharacteristic
1739C22C22×2−1+411yescharacteristic
1740C22C22×2−1+411yescharacteristic
1741C22C2×#58511yescharacteristic
1742C22H(7,𝔽2)11yescharacteristic
1743C4—22no—
1744C4—24no—
1745C4—24no—
1746C4—22no—
1747C4—24no—
1748C4—22no—
1749C4—41no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—44no—
1755C4—44no—
1756C4—42no—
1757C4—42no—
1758C4—41no—
1759C4—44no—
1760C4—42no—
1761C4—41no—
1762C4—42no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—44no—
1771C4#352014yes—
1772C4#353614yes—
1773C2—24no—
1774C2—44no—
1775C2—81no—
1776C2—82no—
1777C2—82no—
1778C2C2×#353611yescharacteristic
1779C2C2×#352011yescharacteristic
1780C2C2×#351811yescharacteristic
1781C2#6294511yescharacteristic
1782C2#6295711yescharacteristic
1783C2#6298611yescharacteristic
1784C2#6301511yescharacteristic
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. #59659C2semidirect
2. #59650C2semidirect
3. #59314C2semidirect
4. #59244C2semidirect
5. #59025C2semidirect
6. #51701C2semidirect
7. #48286C2semidirect
8. #45717C2semidirect
9. #45670C2semidirect
10. #45406C2semidirect
11. #45360C2semidirect
12. #43203C2semidirect
13. #42904C2semidirect
14. #42583C2semidirect
15. #40789C2semidirect
16. #39759C2semidirect
17. #39239C2semidirect
18. #39136C2semidirect
19. #38978C2semidirect
20. #38938C2semidirect
21. #38922C2semidirect
22. #38110C2semidirect
23. Q8×C22⋊Q8C2semidirect
24. #36456C2semidirect
25. #36189C2semidirect
26. #36160C2semidirect
27. #36114C2semidirect
28. #36108C2semidirect
29. #35189C2semidirect
30. #35177C2semidirect
31. #35079C2semidirect
32. C2×#2538C2semidirect
33. #34708C2semidirect
34. #34464C2semidirect
35. C4×#546C2semidirect
36. C2×Q82C22semidirect
37. C2×#556C22semidirect
41. C2×#529C22semidirect
42. C2×#529C22semidirect
47. #2859C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
53. #2855C22semidirect
54. #2851C22semidirect
55. #2851C22semidirect
56. #2850C22semidirect
58. #2837C22semidirect
59. #2830C22semidirect
60. #2810C22semidirect
61. #2798C22semidirect
62. #2798C22semidirect
64. #2793C22semidirect
65. #2790C22semidirect
66. #2788C22semidirect
67. #2784C22semidirect
68. #2783C22semidirect
69. #2781C22semidirect
70. #2777C22semidirect
71. #2772C22semidirect
72. #2761C22semidirect
73. #2756C22semidirect
75. #2740C22semidirect
76. #2731C22semidirect
78. #2727C22semidirect
79. #2727C22semidirect
80. #2720C22semidirect
81. #2715C22semidirect
82. #2715C22semidirect
85. #2705C22semidirect
86. #2700C22semidirect
87. #2700C22semidirect
89. #2692C22semidirect
90. #2689C22semidirect
91. #2686C22semidirect
92. #2672C22semidirect
93. #2667C22semidirect
94. #2665C22semidirect
95. #2665C22semidirect
96. #2654C22semidirect
99. #2630C22semidirect
101. #2620C22semidirect
102. #2601C22semidirect
103. #2582C22semidirect
104. #2582C22semidirect
105. #2573C22semidirect
106. #2570C22semidirect
107. #2569C22semidirect
108. #2567C22semidirect
109. #2567C22semidirect
111. #2563C22semidirect
112. #2560C22semidirect
113. #2560C22semidirect
115. #2551C22semidirect
116. #2549C22semidirect
117. #2545C22semidirect
118. #2542C22semidirect
129. #2538C22semidirect
130. #2538C22semidirect
131. #2538C22semidirect
133. #2537C22semidirect
135. #2511C22semidirect
136. #2509C22semidirect
137. #2509C22semidirect
138. #2507C22semidirect
139. #2506C22semidirect
140. #2499C22semidirect
141. #2497C22semidirect
142. #2497C22semidirect
143. #2496C22semidirect
144. #2496C22semidirect
145. #2495C22semidirect
146. #2492C22semidirect
149. #2491C22semidirect
150. #2489C22semidirect
151. #2488C22semidirect
155. #2485C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
162. #2477C22semidirect
166. #2470C22semidirect
167. #2469C22semidirect
168. #2469C22semidirect
169. #2466C22semidirect
170. #2465C22semidirect
171. #2465C22semidirect
173. #2458C22semidirect
174. #2453C22semidirect
177. #2452C22semidirect
178. #2451C22semidirect
179. #2451C22semidirect
180. #2450C22semidirect
183. #2448C22semidirect
187. #2441C22semidirect
188. #2441C22semidirect
189. #2441C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
195. #2439C22semidirect
196. #2439C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
202. #2427C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
210. #2421C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
214. #2420C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
221. #2414C22semidirect
226. #2398C22semidirect
227. #2396C22semidirect
229. #2382C22semidirect
230. #2378C22semidirect
232. #2365C22semidirect
236. #2362C22semidirect
237. #2362C22semidirect
251. #2351C22semidirect
252. Q8×C4⋊C4C22semidirect
253. Q8×C4⋊C4C22semidirect
254. Q8×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
258. #2344C22semidirect
264. #2336C22semidirect
265. #2331C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2320C22semidirect
274. #2316C22semidirect
275. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
288. #2295C22semidirect
292. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596592
#596502
#593142
#592442
#590252
#517012
#482862
#457172
#456702
#454062
#453602
#432032
#429042
#425832
#407892
#397592
#392392
#391362
#389782
#389382
#389222
#381102
Q8×C22⋊Q82
#364562
#361892
#361602
#361142
#361082
#351892
#351772
#350792
C2×#25382
#347082
#344642
C4×#5462