Finite Group Databasebeta

← #7987040

Subgroups — #7987040

Order 512.

5170 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59664C212yesmaximal, complemented
2#59428C211yesmaximal, characteristic, complemented
3#59322C211yesmaximal, characteristic, complemented
4#59258C211yesmaximal, characteristic, complemented
5#59204C212yesmaximal, complemented
6#48721C214yesmaximal, complemented
7#48331C214yesmaximal, complemented
8#45561C214yesmaximal, complemented
9#45381C212yesmaximal, complemented
10#45288C212yesmaximal, complemented
11#45077C212yesmaximal, complemented
12#44971C212yesmaximal, complemented
13#42639C212yesmaximal, complemented
14#42631C212yesmaximal, complemented
15#42501C212yesmaximal, complemented
16#42452C212yesmaximal, complemented
17#39370C211yesmaximal, characteristic, complemented
18#39350C211yesmaximal, characteristic, complemented
19#38977C211yesmaximal, characteristic, complemented
20#38923C211yesmaximal, characteristic, complemented
21#38389C214yesmaximal, complemented
22#38122C212yesmaximal, complemented
23#37850C212yesmaximal, complemented
24#36599C211yesmaximal, characteristic, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36163C212yesmaximal, complemented
27#36161C211yesmaximal, characteristic, complemented
28#36161C212yesmaximal, complemented
29#35225C212yesmaximal
30#35224C212yesmaximal, complemented
31#34772C211yesmaximal, characteristic, complemented
32#34700C211yesmaximal, characteristic
33#34481C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#552C2212yescomplemented
39C2×#544C2212yescomplemented
40C2×#542C2212yes—
41C2×#529C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2212yes—
44C23×C4⋊C4C2212yes—
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic, complemented
49#2849C2214yes—
50#2848C2212yes—
51#2848C2214yes—
52#2848C2214yes—
53#2835C2214yescomplemented
54#2827C2214yescomplemented
55#2805C2214yescomplemented
56#2802C2214yescomplemented
57#2792C2214yescomplemented
58#2791C2214yescomplemented
59#2787C2214yescomplemented
60#2783C2214yescomplemented
61#2776C2214yescomplemented
62#2771C2214yescomplemented
63#2765C2214yescomplemented
64#2747C2214yescomplemented
65#2747C2214yescomplemented
66#2745C2214yescomplemented
67#2744C2214yescomplemented
68#2744C2214yescomplemented
69#2740C2214yescomplemented
70#2739C2214yescomplemented
71#2739C2214yescomplemented
72#2738C2214yescomplemented
73#2729C2214yescomplemented
74#2725C2214yescomplemented
75#2723C2214yescomplemented
76#2722C2214yescomplemented
77#2722C2214yescomplemented
78#2718C2214yescomplemented
79#2717C2214yescomplemented
80#2704C2214yescomplemented
81#2698C2214yescomplemented
82#2695C2214yescomplemented
83#2695C2214yescomplemented
84#2690C2214yescomplemented
85#2689C2214yescomplemented
86#2689C2214yescomplemented
87#2674C2214yescomplemented
88#2652C2214yescomplemented
89#2652C2214yescomplemented
90#2645C2212yescomplemented
91#2638C2214yes—
92#2630C2214yes—
93#2629C2212yescomplemented
94#2627C2214yescomplemented
95#2627C2214yescomplemented
96#2625C2212yescomplemented
97#2625C2212yescomplemented
98#2590C2214yescomplemented
99#2585C2214yescomplemented
100#2583C2214yes—
101#2582C2211yescharacteristic, complemented
102#2581C2212yescomplemented
103#2577C2214yescomplemented
104#2570C2212yescomplemented
105#2569C2214yes—
106#2569C2214yes—
107#2567C2212yescomplemented
108#2567C2212yescomplemented
109#2552C2211yescharacteristic, complemented
110#2551C2211yescharacteristic, complemented
111#2550C2214yescomplemented
112#2547C2212yes—
113#2547C2211yescharacteristic
114#2547C2212yescomplemented
115#2546C2211yescharacteristic, complemented
116#2546C2212yescomplemented
117#2538C2211yescharacteristic
118#2538C2212yes—
119#2522C2212yescomplemented
120#2521C2214yescomplemented
121#2520C2212yescomplemented
122#2511C2212yescomplemented
123#2511C2212yescomplemented
124#2511C2211yescharacteristic, complemented
125#2510C2214yes—
126#2509C2212yescomplemented
127#2508C2212yescomplemented
128#2507C2212yescomplemented
129#2507C2212yescomplemented
130#2507C2212yescomplemented
131#2507C2211yescharacteristic, complemented
132#2506C2212yescomplemented
133#2506C2212yescomplemented
134#2505C2214yes—
135#2505C2212yes—
136#2503C2212yescomplemented
137#2502C2211yescharacteristic
138#2497C2211yescharacteristic, complemented
139#2497C2212yescomplemented
140#2496C2212yescomplemented
141#2496C2212yescomplemented
142#2496C2212yescomplemented
143#2496C2212yescomplemented
144#2494C2212yescomplemented
145#2492C2211yescharacteristic, complemented
146#2489C2212yescomplemented
147#2487C2211yescharacteristic
148#2487C2212yes—
149#2486C2212yescomplemented
150#2485C2212yes—
151#2485C2214yes—
152#2485C2212yescomplemented
153#2485C2212yescomplemented
154#2484C2214yescomplemented
155#2481C2214yes—
156#2481C2214yescomplemented
157#2480C2214yes—
158#2480C2214yes—
159#2480C2214yes—
160#2480C2212yes—
161#2480C2214yes—
162#2478C2214yescomplemented
163#2478C2214yescomplemented
164#2475C2214yescomplemented
165#2475C2214yescomplemented
166#2473C2214yes—
167#2473C2214yescomplemented
168#2472C2214yes—
169#2468C2212yes—
170#2468C2214yes—
171#2466C2214yes—
172#2466C2214yes—
173#2466C2214yes—
174#2461C2214yes—
175#2457C2212yes—
176#2454C2211yescharacteristic
177#2453C2212yescomplemented
178#2452C2212yes—
179#2451C2212yescomplemented
180#2450C2212yes—
181#2447C2212yes—
182#2447C2212yes—
183#2447C2212yes—
184#2447C2212yes—
185#2447C2211yescharacteristic
186#2446C2212yescomplemented
187#2446C2212yescomplemented
188#2442C2211yescharacteristic
189#2442C2212yes—
190#2442C2212yes—
191#2442C2214yes—
192#2442C2212yescomplemented
193#2442C2212yescomplemented
194#2442C2214yescomplemented
195#2442C2212yescomplemented
196#2441C2212yescomplemented
197#2440C2214yes—
198#2440C2212yes—
199#2440C2212yes—
200#2440C2211yescharacteristic
201#2440C2214yescomplemented
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2439C2212yescomplemented
205#2435C2211yescharacteristic
206#2435C2212yes—
207#2429C2212yescomplemented
208#2427C2212yes—
209#2427C2211yescharacteristic
210#2423C2212yescomplemented
211#2422C2212yes—
212#2421C2212yescomplemented
213#2420C2211yescharacteristic
214#2418C2212yes—
215#2417C2211yescharacteristic
216#2417C2212yes—
217#2417C2211yescharacteristic
218#2417C2212yescomplemented
219#2415C2214yes—
220#2415C2212yes—
221#2413C2214yescomplemented
222#2408C2211yescharacteristic
223#2402C2212yescomplemented
224#2396C2212yescomplemented
225#2395C2212yes—
226#2392C2212yes—
227#2383C2214yescomplemented
228#2376C2214yescomplemented
229#2370C2212yescomplemented
230#2370C2212yescomplemented
231#2368C2214yes—
232#2367C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2365C2211yescharacteristic, complemented
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2360C2212yes—
240#2360C2212yescomplemented
241#2355C2211yescharacteristic, complemented
242#2354C2212yes—
243#2354C2211yescharacteristic
244#2354C2212yescomplemented
245#2352C2212yes—
246#2352C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2211yescharacteristic, complemented
249Q8×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2214yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2212yes—
259#2347C2212yescomplemented
260#2345C2212yes—
261#2345C2212yes—
262#2344C2212yescomplemented
263#2334C2214yescomplemented
264#2334C2214yescomplemented
265#2326C2212yes—
266#2324C2212yes—
267#2323C2212yescomplemented
268#2323C2212yescomplemented
269#2320C2212yescomplemented
270#2319C2212yes—
271#2317C2212yescomplemented
272#2317C2212yescomplemented
273#2316C2212yescomplemented
274#2314C2212yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#120C2212yes—
285#2295C2211yescharacteristic, complemented
286#2293C2211yescharacteristic
287C2×#389C2212yes—
288#2290C2212yes—
289C2×#385C2214yes—
290#2285C2211yescharacteristic, complemented
291#2285C2211yescharacteristic, complemented
292C2×#384C2211yescharacteristic
293#2280C2214yes—
294#2280C2212yes—
295#2280C2212yes—
296C2×#380C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301C24×C4C2314yes—
302#556—28no—
303#556—48no—
304#552—48no—
305#544—48no—
306#542—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×#120C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4—28no—
359C2×C4×D4—48no—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C22×C4⋊C4—48no—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2314yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2314yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2312yes—
456#398C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#393C2314yes—
504#393C2312yes—
505#392C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2314yes—
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
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#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2314yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#383C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2311yescharacteristic
760#379C2312yes—
761#379C2312yes—
762#379C2314yes—
763#379C2314yes—
764#379C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—28no—
835C23×C4—28no—
836C23×C4—44no—
837C23×C4—48no—
838C23×C4—48no—
839C23×C4—48no—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—48no—
864#126—28no—
865#126—216no—
866#126—48no—
867#126—48no—
868#126—48no—
869#126—48no—
870#125—24no—
871#125—28no—
872#125—44no—
873#125—48no—
874#125—48no—
875#124—24no—
876#124—28no—
877#124—28no—
878#124—24no—
879#124—48no—
880#123—28no—
881#123—48no—
882#123—48no—
883C22⋊Q8—28no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—24no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—48no—
894C22⋊Q8—44no—
895C22⋊Q8—48no—
896C22⋊Q8—44no—
897#121—24no—
898#121—24no—
899#120—44no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—42no—
924C4×D4#4118yes—
925#117—28no—
926#117—28no—
927#117—44no—
928#117—44no—
929#117—48no—
930#117—44no—
931#117—44no—
932#117—48no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4—48no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—48no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C22⋊C4—28no—
1028C2×C22⋊C4—48no—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C42—24no—
1079C2×C42—24no—
1080C2×C42—44no—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2414yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24—24no—
1185C24—24no—
1186C24—24no—
1187C24—24no—
1188C24—24no—
1189C24—42no—
1190C24—42no—
1191C24C2511yescharacteristic
1192C24C2512yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—22no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×D4—232no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4C2×#4114yes—
1228C2×D4H(5,𝔽2)14yes—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—28no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—432no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—832no—
1282C22×C4C2×#4118yes—
1283C22×C42−1+414yes—
1284C22×C42−1+414yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—28no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—41no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4H(5,𝔽2)14yes—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—41no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4C2×#4118yes—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—24no—
1453C42—28no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—42no—
1464C42—42no—
1465C42—41no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—41no—
1473C42—44no—
1474C42C2×#4114yes—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—216no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—48no—
1500C23—48no—
1501C23—48no—
1502C23—48no—
1503C23—48no—
1504C23—48no—
1505C23C22×#4114yes—
1506C23C2×H(5,𝔽2)14yes—
1507C23C2×2−1+412yes—
1508C23C2×2−1+412yes—
1509C23#58512yes—
1510C23C2611yescharacteristic
1511Q8—44no—
1512Q8—48no—
1513Q8—44no—
1514Q8—84no—
1515Q8—164no—
1516D4—216no—
1517D4—28no—
1518D4—28no—
1519D4—44no—
1520D4—84no—
1521D4—84no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—28no—
1533C2×C4—28no—
1534C2×C4—216no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—48no—
1611C2×C4—416no—
1612C2×C4—48no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—82no—
1617C2×C4—88no—
1618C2×C4—84no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4114yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C2×H(5,𝔽2)14yes—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×2−1+412yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4C2×2−1+412yes—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—24no—
1640C22—24no—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—432no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22#355514yes—
1662C22C23×#4111yescharacteristic
1663C22C22×H(5,𝔽2)11yescharacteristic
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C22×2−1+411yescharacteristic
1666C22C22×2−1+411yescharacteristic
1667C22C2×#58511yescharacteristic
1668C222−1+611yescharacteristic
1669C4—22no—
1670C4—24no—
1671C4—22no—
1672C4—22no—
1673C4—24no—
1674C4—42no—
1675C4—41no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4—42no—
1681C4—44no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—44no—
1688C4—41no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—41no—
1693C4—44no—
1694C4—41no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4#349214yes—
1699C4#352014yes—
1700C2—24no—
1701C2—44no—
1702C2—44no—
1703C2—81no—
1704C2C2×#355511yescharacteristic
1705C2C2×#349211yescharacteristic
1706C2C2×#352011yescharacteristic
1707C2#6291311yescharacteristic
1708C2#6291511yescharacteristic
1709C2#6299311yescharacteristic
1710C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59664C2semidirect
2. #59428C2semidirect
3. #59322C2semidirect
4. #59258C2semidirect
5. #59204C2semidirect
6. #48721C2semidirect
7. #48331C2semidirect
8. #45561C2semidirect
9. #45381C2semidirect
10. #45288C2semidirect
11. #45077C2semidirect
12. #44971C2semidirect
13. #42639C2semidirect
14. #42631C2semidirect
15. #42501C2semidirect
16. #42452C2semidirect
17. #39370C2semidirect
18. #39350C2semidirect
19. #38977C2semidirect
20. #38923C2semidirect
21. #38389C2semidirect
22. #38122C2semidirect
23. #37850C2semidirect
24. #36599C2semidirect
25. #36189C2semidirect
26. #36163C2semidirect
27. #36161C2semidirect
28. #36161C2semidirect
30. #35224C2semidirect
31. #34772C2semidirect
33. #34481C2semidirect
34. #34383C2semidirect
35. C2×D4×C4⋊C4C2semidirect
38. C2×#552C22semidirect
39. C2×#544C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
53. #2835C22semidirect
54. #2827C22semidirect
55. #2805C22semidirect
56. #2802C22semidirect
57. #2792C22semidirect
58. #2791C22semidirect
59. #2787C22semidirect
60. #2783C22semidirect
61. #2776C22semidirect
62. #2771C22semidirect
63. #2765C22semidirect
64. #2747C22semidirect
65. #2747C22semidirect
66. #2745C22semidirect
67. #2744C22semidirect
68. #2744C22semidirect
69. #2740C22semidirect
70. #2739C22semidirect
71. #2739C22semidirect
72. #2738C22semidirect
73. #2729C22semidirect
74. #2725C22semidirect
75. #2723C22semidirect
76. #2722C22semidirect
77. #2722C22semidirect
78. #2718C22semidirect
79. #2717C22semidirect
80. #2704C22semidirect
81. #2698C22semidirect
82. #2695C22semidirect
83. #2695C22semidirect
84. #2690C22semidirect
85. #2689C22semidirect
86. #2689C22semidirect
87. #2674C22semidirect
88. #2652C22semidirect
89. #2652C22semidirect
90. #2645C22semidirect
93. #2629C22semidirect
94. #2627C22semidirect
95. #2627C22semidirect
96. #2625C22semidirect
97. #2625C22semidirect
98. #2590C22semidirect
99. #2585C22semidirect
101. #2582C22semidirect
102. #2581C22semidirect
103. #2577C22semidirect
104. #2570C22semidirect
107. #2567C22semidirect
108. #2567C22semidirect
109. #2552C22semidirect
110. #2551C22semidirect
111. #2550C22semidirect
114. #2547C22semidirect
115. #2546C22semidirect
116. #2546C22semidirect
119. #2522C22semidirect
120. #2521C22semidirect
121. #2520C22semidirect
122. #2511C22semidirect
123. #2511C22semidirect
124. #2511C22semidirect
126. #2509C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2507C22semidirect
130. #2507C22semidirect
131. #2507C22semidirect
132. #2506C22semidirect
133. #2506C22semidirect
136. #2503C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
140. #2496C22semidirect
141. #2496C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2494C22semidirect
145. #2492C22semidirect
146. #2489C22semidirect
149. #2486C22semidirect
152. #2485C22semidirect
153. #2485C22semidirect
154. #2484C22semidirect
156. #2481C22semidirect
162. #2478C22semidirect
163. #2478C22semidirect
164. #2475C22semidirect
165. #2475C22semidirect
167. #2473C22semidirect
177. #2453C22semidirect
179. #2451C22semidirect
186. #2446C22semidirect
187. #2446C22semidirect
192. #2442C22semidirect
193. #2442C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2441C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2439C22semidirect
207. #2429C22semidirect
210. #2423C22semidirect
212. #2421C22semidirect
218. #2417C22semidirect
221. #2413C22semidirect
223. #2402C22semidirect
224. #2396C22semidirect
227. #2383C22semidirect
228. #2376C22semidirect
229. #2370C22semidirect
230. #2370C22semidirect
235. #2365C22semidirect
240. #2360C22semidirect
241. #2355C22semidirect
244. #2354C22semidirect
246. #2352C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
249. Q8×C4⋊C4C22semidirect
259. #2347C22semidirect
262. #2344C22semidirect
263. #2334C22semidirect
264. #2334C22semidirect
267. #2323C22semidirect
268. #2323C22semidirect
269. #2320C22semidirect
271. #2317C22semidirect
272. #2317C22semidirect
273. #2316C22semidirect
274. #2314C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
285. #2295C22semidirect
290. #2285C22semidirect
291. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596642
#594282
#593222
#592582
#592042
#487212
#483312
#455612
#453812
#452882
#450772
#449712
#426392
#426312
#425012
#424522
#393702
#393502
#389772
#389232
#383892
#381222
#378502
#365992
#361892
#361632
#361612
#352252
#352242
#347722
#347002
#344812
#343832
C2×D4×C4⋊C42