Finite Group Databasebeta

← #7683764

Subgroups — #7683764

Order 512.

4919 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59708C214yesmaximal, complemented
2#59431C212yesmaximal, complemented
3#59431C212yesmaximal, complemented
4#59428C212yesmaximal, complemented
5#59426C212yesmaximal, complemented
6#59250C212yesmaximal, complemented
7#59249C212yesmaximal, complemented
8#59246C212yesmaximal, complemented
9#59244C212yesmaximal, complemented
10#59170C214yesmaximal, complemented
11#45329C212yesmaximal, complemented
12#45232C212yesmaximal, complemented
13#45197C212yesmaximal, complemented
14#45165C212yesmaximal, complemented
15#45085C212yesmaximal, complemented
16#45065C212yesmaximal, complemented
17#44983C212yesmaximal, complemented
18#44911C212yesmaximal, complemented
19#43248C214yesmaximal, complemented
20#43225C214yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35557C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic
26#35519C211yesmaximal, characteristic, complemented
27#34813C211yesmaximal, characteristic
28C2×#2496C211yesmaximal, characteristic, complemented
29#34739C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34252C211yesmaximal, characteristic, complemented
32#34214C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic
35#34180C211yesmaximal, characteristic, complemented
36C2×#556C2214yes—
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×#126C2212yes—
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C22×#117C2211yescharacteristic
44#2810C2214yescomplemented
45#2800C2214yes—
46#2798C2214yes—
47#2798C2214yescomplemented
48#2793C2214yescomplemented
49#2788C2214yescomplemented
50#2783C2214yes—
51#2777C2214yescomplemented
52#2776C2214yescomplemented
53#2767C2214yescomplemented
54#2767C2214yescomplemented
55#2767C2214yescomplemented
56#2759C2214yes—
57#2759C2214yescomplemented
58#2758C2214yescomplemented
59#2745C2214yes—
60#2740C2214yes—
61#2727C2214yes—
62#2716C2214yes—
63#2715C2214yes—
64#2715C2214yes—
65#2715C2214yes—
66#2689C2214yes—
67#2689C2214yescomplemented
68#2605C2214yescomplemented
69#2605C2214yescomplemented
70#2604C2214yes—
71#2601C2214yes—
72#2592C2214yes—
73#2588C2214yescomplemented
74#2584C2212yescomplemented
75#2584C2212yescomplemented
76#2582C2212yescomplemented
77#2581C2214yescomplemented
78#2581C2212yescomplemented
79#2580C2212yescomplemented
80#2577C2214yescomplemented
81#2567C2212yescomplemented
82#2563C2212yes—
83#2562C2212yes—
84#2562C2212yes—
85#2560C2214yes—
86#2560C2214yes—
87#2552C2212yescomplemented
88#2551C2212yescomplemented
89#2550C2212yescomplemented
90#2550C2212yescomplemented
91#2549C2214yes—
92#2547C2212yes—
93#2546C2212yescomplemented
94#2538C2212yescomplemented
95#2533C2214yescomplemented
96#2528C2214yescomplemented
97#2527C2214yescomplemented
98#2525C2214yes—
99#2525C2214yescomplemented
100#2523C2214yes—
101#2521C2214yes—
102#2514C2212yescomplemented
103#2514C2214yescomplemented
104#2513C2212yescomplemented
105#2512C2214yes—
106#2512C2212yescomplemented
107#2512C2212yescomplemented
108#2512C2212yescomplemented
109#2511C2212yescomplemented
110#2511C2212yescomplemented
111#2511C2212yescomplemented
112#2510C2214yes—
113#2509C2214yescomplemented
114#2497C2212yes—
115#2497C2212yes—
116#2497C2212yescomplemented
117#2497C2212yescomplemented
118#2497C2212yescomplemented
119#2496C2212yes—
120#2496C2212yes—
121#2496C2212yes—
122#2496C2214yes—
123#2496C2212yes—
124#2496C2212yes—
125#2496C2212yes—
126#2496C2212yes—
127#2496C2212yes—
128#2496C2212yes—
129#2496C2212yes—
130#2496C2212yescomplemented
131#2496C2212yescomplemented
132#2496C2212yescomplemented
133#2495C2212yes—
134#2495C2212yes—
135#2495C2212yescomplemented
136#2494C2212yes—
137#2494C2212yes—
138#2494C2212yescomplemented
139#2493C2214yes—
140#2492C2211yescharacteristic
141#2492C2212yes—
142#2492C2211yescharacteristic
143#2491C2211yescharacteristic
144#2491C2212yes—
145#2491C2211yescharacteristic
146#2490C2212yes—
147#2490C2211yescharacteristic
148#2490C2211yescharacteristic
149#2489C2211yescharacteristic
150#2489C2212yes—
151#2489C2211yescharacteristic
152#2488C2212yes—
153#2488C2214yes—
154#2488C2212yes—
155#2485C2214yes—
156#2481C2214yes—
157#2481C2214yes—
158#2481C2214yes—
159#2480C2214yes—
160#2478C2214yes—
161#2478C2214yes—
162#2478C2214yescomplemented
163#2472C2212yes—
164#2472C2214yes—
165#2472C2212yes—
166#2469C2214yes—
167#2469C2214yes—
168#2469C2214yescomplemented
169#2469C2214yescomplemented
170#2469C2214yescomplemented
171#2466C2214yes—
172#2450C2214yes—
173#2449C2214yes—
174#2447C2214yes—
175#2446C2214yescomplemented
176#2442C2211yescharacteristic
177#2442C2211yescharacteristic
178#2442C2212yescomplemented
179#2441C2211yescharacteristic
180#2441C2211yescharacteristic
181#2441C2212yescomplemented
182#2440C2214yes—
183#2440C2211yescharacteristic
184#2440C2211yescharacteristic
185#2440C2212yescomplemented
186#2439C2211yescharacteristic
187#2439C2211yescharacteristic
188#2439C2214yescomplemented
189#2439C2212yescomplemented
190#2438C2212yes—
191#2438C2212yes—
192#2437C2212yes—
193#2437C2212yes—
194#2421C2214yes—
195#2421C2214yescomplemented
196#2398C2212yes—
197#2398C2212yes—
198#2396C2212yes—
199#2396C2212yes—
200C2×#400C2212yes—
201C2×#397C2212yes—
202#2373C2214yes—
203#2373C2214yescomplemented
204#2370C2212yescomplemented
205#2370C2212yescomplemented
206#2370C2212yescomplemented
207#2370C2212yescomplemented
208#2369C2212yescomplemented
209#2369C2212yescomplemented
210#2368C2214yes—
211#2365C2212yescomplemented
212#2365C2212yescomplemented
213#2360C2214yes—
214#2360C2214yes—
215#2360C2214yes—
216#2359C2214yes—
217#2358C2214yes—
218#2357C2212yescomplemented
219#2356C2212yescomplemented
220#2355C2212yescomplemented
221#2355C2212yescomplemented
222#2355C2212yescomplemented
223#2355C2214yescomplemented
224#2355C2212yescomplemented
225#2355C2212yescomplemented
226#2355C2212yescomplemented
227#2354C2212yes—
228#2354C2212yescomplemented
229#2352C2212yes—
230#2352C2212yes—
231Q8×C4⋊C4C2212yescomplemented
232Q8×C4⋊C4C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234D4×C4⋊C4C2212yes—
235#2347C2212yes—
236#2347C2212yescomplemented
237#2346C2212yes—
238#2346C2212yescomplemented
239#2345C2212yes—
240#2345C2212yescomplemented
241#2344C2212yes—
242#2344C2212yescomplemented
243#2343C2214yes—
244#2342C2214yes—
245#2331C2212yescomplemented
246#2330C2212yescomplemented
247#2330C2212yescomplemented
248#2330C2212yescomplemented
249#2329C2214yes—
250#2324C2212yes—
251#2323C2212yes—
252#2318C2214yes—
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2316C2211yescharacteristic
259#2314C2212yes—
260#2314C2212yes—
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264C4×C4⋊Q8C2212yescomplemented
265C4×C4⋊Q8C2212yescomplemented
266C4×C4⋊Q8C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2214yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×#121C2212yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#389C2211yescharacteristic
281#2290C2214yes—
282C2×#387C2212yes—
283#2285C2212yes—
284#2285C2211yescharacteristic
285C2×#384C2211yescharacteristic
286#2283C2212yes—
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289C2×#380C2211yescharacteristic
290C2×#380C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#556—416no—
302#544—28no—
303#533—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2314yes—
312C2×#126—48no—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330#525—28no—
331C2×#123C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#120C2312yes—
345#520—28no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×#117—28no—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2311yescharacteristic
391C22×C42C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2312yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2312yes—
465#395C2314yes—
466#395C2314yes—
467#395C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#393C2312yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2312yes—
479#393C2312yes—
480#393C2312yes—
481#393C2312yes—
482#393C2312yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2311yescharacteristic
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2314yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#382C2312yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2314yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2312yes—
699#381C2314yes—
700#381C2314yes—
701#381C2312yes—
702#381C2312yes—
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#379C2312yes—
734#379C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C25C2411yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4—24no—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859C4⋊Q8—48no—
860#126—216no—
861#126—48no—
862#126—48no—
863#126—48no—
864#126—48no—
865#126—48no—
866#126—48no—
867#126—48no—
868#125—24no—
869#125—24no—
870#125—24no—
871#125—24no—
872#125—28no—
873#125—28no—
874#124—28no—
875#124—44no—
876#124—48no—
877#123—28no—
878C22⋊Q8—24no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—216no—
885C22⋊Q8—28no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888#121—24no—
889#121—24no—
890#120—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—48no—
897C4×Q8—48no—
898C4×Q8—48no—
899C4×Q8—48no—
900C4×D4—216no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—48no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—28no—
913#117—28no—
914#117—28no—
915#117—48no—
916#117—48no—
917#117#4118yes—
918#117#4118yes—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4—28no—
1005C2×C22⋊C4—24no—
1006C2×C22⋊C4—42no—
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42—28no—
1060C2×C42—44no—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095#95C2414yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—22no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—41no—
1178C24—41no—
1179C24—41no—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184#41—416no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—28no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—416no—
1267C22×C4C2×#4114yes—
1268C22×C4C2×#4114yes—
1269C22×C42−1+414yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2514yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4C2×#4114yes—
1372C4⋊C4C2×#4114yes—
1373C4⋊C4C2×#4114yes—
1374C4⋊C4C2×#4114yes—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4C2×#4118yes—
1421C22⋊C4C2×#4118yes—
1422C22⋊C4H(5,𝔽2)14yes—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—28no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—28no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42C2×#4118yes—
1456C42C2×#4118yes—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23C22×#4112yes—
1489C23C22×#4112yes—
1490C23C2×H(5,𝔽2)12yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—48no—
1495Q8—48no—
1496Q8—44no—
1497Q8—88no—
1498Q8—84no—
1499D4—48no—
1500D4—48no—
1501D4—44no—
1502D4—84no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4#556116yescomplemented
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4114yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4#58512yes—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—88no—
1642C22C2×#55614yes—
1643C22C23×#4111yescharacteristic
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C222−1+611yescharacteristic
1649C222−1+611yescharacteristic
1650C4—24no—
1651C4—22no—
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—24no—
1656C4—24no—
1657C4—42no—
1658C4—41no—
1659C4—41no—
1660C4—44no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—44no—
1675C4—42no—
1676C4—41no—
1677C4—41no—
1678C4—42no—
1679C4C2×#55614yes—
1680C4C2×#55614yes—
1681C2—24no—
1682C2—42no—
1683C2—82no—
1684C2—81no—
1685C2C22×#55611yescharacteristic
1686C2#6283511yescharacteristic
1687C2#6288911yescharacteristic
1688C2#6298511yescharacteristic
1689C2#6298511yescharacteristic
1690C2#6299311yescharacteristic
1691C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59708C2semidirect
2. #59431C2semidirect
3. #59431C2semidirect
4. #59428C2semidirect
5. #59426C2semidirect
6. #59250C2semidirect
7. #59249C2semidirect
8. #59246C2semidirect
9. #59244C2semidirect
10. #59170C2semidirect
11. #45329C2semidirect
12. #45232C2semidirect
13. #45197C2semidirect
14. #45165C2semidirect
15. #45085C2semidirect
16. #45065C2semidirect
17. #44983C2semidirect
18. #44911C2semidirect
19. #43248C2semidirect
20. #43225C2semidirect
21. #35566C2semidirect
22. #35557C2semidirect
23. #35545C2semidirect
24. #35544C2semidirect
26. #35519C2semidirect
28. C2×#2496C2semidirect
29. #34739C2semidirect
30. #34272C2semidirect
31. #34252C2semidirect
32. #34214C2semidirect
33. #34213C2semidirect
35. #34180C2semidirect
44. #2810C22semidirect
47. #2798C22semidirect
48. #2793C22semidirect
49. #2788C22semidirect
51. #2777C22semidirect
52. #2776C22semidirect
53. #2767C22semidirect
54. #2767C22semidirect
55. #2767C22semidirect
57. #2759C22semidirect
58. #2758C22semidirect
67. #2689C22semidirect
68. #2605C22semidirect
69. #2605C22semidirect
73. #2588C22semidirect
74. #2584C22semidirect
75. #2584C22semidirect
76. #2582C22semidirect
77. #2581C22semidirect
78. #2581C22semidirect
79. #2580C22semidirect
80. #2577C22semidirect
81. #2567C22semidirect
87. #2552C22semidirect
88. #2551C22semidirect
89. #2550C22semidirect
90. #2550C22semidirect
93. #2546C22semidirect
94. #2538C22semidirect
95. #2533C22semidirect
96. #2528C22semidirect
97. #2527C22semidirect
99. #2525C22semidirect
102. #2514C22semidirect
103. #2514C22semidirect
104. #2513C22semidirect
106. #2512C22semidirect
107. #2512C22semidirect
108. #2512C22semidirect
109. #2511C22semidirect
110. #2511C22semidirect
111. #2511C22semidirect
113. #2509C22semidirect
116. #2497C22semidirect
117. #2497C22semidirect
118. #2497C22semidirect
130. #2496C22semidirect
131. #2496C22semidirect
132. #2496C22semidirect
135. #2495C22semidirect
138. #2494C22semidirect
162. #2478C22semidirect
168. #2469C22semidirect
169. #2469C22semidirect
170. #2469C22semidirect
175. #2446C22semidirect
178. #2442C22semidirect
181. #2441C22semidirect
185. #2440C22semidirect
188. #2439C22semidirect
189. #2439C22semidirect
195. #2421C22semidirect
203. #2373C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2370C22semidirect
207. #2370C22semidirect
208. #2369C22semidirect
209. #2369C22semidirect
211. #2365C22semidirect
212. #2365C22semidirect
218. #2357C22semidirect
219. #2356C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
228. #2354C22semidirect
231. Q8×C4⋊C4C22semidirect
232. Q8×C4⋊C4C22semidirect
233. Q8×C4⋊C4C22semidirect
236. #2347C22semidirect
238. #2346C22semidirect
240. #2345C22semidirect
242. #2344C22semidirect
245. #2331C22semidirect
246. #2330C22semidirect
247. #2330C22semidirect
248. #2330C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×#125C22semidirect
1600. C2×C4#556semidirect

Maximal subgroups

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

subgroupindex
#597082
#594312
#594282
#594262
#592502
#592492
#592462
#592442
#591702
#453292
#452322
#451972
#451652
#450852
#450652
#449832
#449112
#432482
#432252
#355662
#355572
#355452
#355442
#355422
#355192
#348132
C2×#24962
#347392
#342722
#342522
#342142
#342132
#342022
#341802