Finite Group Databasebeta

← #7650833

Subgroups — #7650833

Order 512.

4855 conjugacy classes of subgroups.

The subgroup lattice has 1713 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42754C212yesmaximal, complemented
2#42729C212yesmaximal, complemented
3#42725C212yesmaximal, complemented
4#42635C212yesmaximal, complemented
5#42632C212yesmaximal, complemented
6#42621C212yesmaximal, complemented
7#42574C212yesmaximal, complemented
8#42542C212yesmaximal, complemented
9#41391C214yesmaximal, complemented
10#40560C214yesmaximal, complemented
11#40226C212yesmaximal, complemented
12#40222C212yesmaximal, complemented
13#40179C212yesmaximal, complemented
14#40047C212yesmaximal, complemented
15#39792C212yesmaximal, complemented
16#39224C212yesmaximal, complemented
17#39033C212yesmaximal, complemented
18#39029C212yesmaximal, complemented
19#38390C214yesmaximal, complemented
20#37853C214yesmaximal, complemented
21#35679C211yesmaximal, characteristic, complemented
22#35668C211yesmaximal, characteristic, complemented
23#35644C211yesmaximal, characteristic, complemented
24#35630C211yesmaximal, characteristic, complemented
25#35584C211yesmaximal, characteristic
26#35566C211yesmaximal, characteristic, complemented
27#35338C211yesmaximal, characteristic, complemented
28#35262C211yesmaximal, characteristic
29#35174C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31#34739C211yesmaximal, characteristic, complemented
32C2×#2427C211yesmaximal, characteristic
33#34272C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34186C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2861C2212yescomplemented
46#2861C2212yescomplemented
47#2854C2212yes—
48#2854C2212yes—
49#2848C2214yes—
50#2838C2214yescomplemented
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2832C2214yescomplemented
54#2801C2214yescomplemented
55#2800C2214yescomplemented
56#2798C2214yescomplemented
57#2798C2214yescomplemented
58#2795C2214yescomplemented
59#2779C2214yescomplemented
60#2773C2214yescomplemented
61#2773C2214yescomplemented
62#2759C2214yescomplemented
63#2759C2214yescomplemented
64#2757C2214yescomplemented
65#2754C2214yescomplemented
66#2754C2214yescomplemented
67#2747C2214yescomplemented
68#2747C2214yescomplemented
69#2746C2214yescomplemented
70#2745C2214yescomplemented
71#2745C2214yescomplemented
72#2742C2214yescomplemented
73#2742C2214yescomplemented
74#2741C2214yescomplemented
75#2738C2214yescomplemented
76#2738C2214yescomplemented
77#2737C2214yescomplemented
78#2731C2214yescomplemented
79#2718C2214yescomplemented
80#2717C2214yescomplemented
81#2702C2214yescomplemented
82#2700C2214yescomplemented
83#2692C2214yescomplemented
84#2687C2214yescomplemented
85#2674C2214yescomplemented
86#2663C2214yescomplemented
87#2654C2214yescomplemented
88#2654C2214yescomplemented
89#2653C2214yescomplemented
90#2653C2214yescomplemented
91#2651C2214yescomplemented
92#2650C2214yescomplemented
93#2650C2214yescomplemented
94#2649C2214yescomplemented
95#2640C2212yescomplemented
96#2640C2212yescomplemented
97#2632C2214yescomplemented
98#2628C2214yescomplemented
99#2626C2214yes—
100#2625C2214yescomplemented
101#2624C2212yes—
102#2624C2212yes—
103#2592C2212yescomplemented
104#2592C2212yescomplemented
105#2592C2212yescomplemented
106#2592C2212yescomplemented
107#2584C2212yescomplemented
108#2584C2212yescomplemented
109#2568C2212yescomplemented
110#2567C2212yescomplemented
111#2567C2212yescomplemented
112#2565C2212yescomplemented
113#2565C2212yescomplemented
114#2561C2214yes—
115#2561C2214yes—
116#2561C2214yes—
117#2561C2214yes—
118#2552C2212yescomplemented
119#2551C2212yescomplemented
120#2550C2212yescomplemented
121#2550C2212yescomplemented
122#2549C2214yes—
123#2546C2212yescomplemented
124#2525C2214yescomplemented
125#2525C2214yescomplemented
126#2521C2214yescomplemented
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2514C2212yescomplemented
130#2514C2212yescomplemented
131#2511C2212yescomplemented
132#2511C2212yescomplemented
133#2511C2212yescomplemented
134#2511C2212yescomplemented
135#2504C2212yes—
136#2503C2214yes—
137#2501C2212yes—
138#2500C2212yes—
139#2500C2212yes—
140#2497C2211yescharacteristic, complemented
141#2497C2211yescharacteristic, complemented
142#2496C2211yescharacteristic, complemented
143#2496C2211yescharacteristic, complemented
144#2495C2211yescharacteristic, complemented
145#2495C2214yescomplemented
146#2495C2211yescharacteristic, complemented
147#2494C2211yescharacteristic, complemented
148#2494C2211yescharacteristic, complemented
149#2494C2214yescomplemented
150#2493C2214yes—
151#2493C2214yes—
152#2493C2212yes—
153#2493C2212yes—
154#2492C2214yescomplemented
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2491C2212yes—
160#2491C2212yes—
161#2491C2212yes—
162#2491C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2490C2212yes—
166#2490C2212yes—
167#2489C2212yescomplemented
168#2489C2212yescomplemented
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2482C2214yes—
172#2482C2214yes—
173#2482C2214yes—
174#2480C2212yes—
175#2480C2212yes—
176#2479C2214yescomplemented
177#2477C2214yescomplemented
178#2474C2214yescomplemented
179#2470C2214yescomplemented
180#2458C2214yescomplemented
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2453C2212yescomplemented
186#2453C2212yescomplemented
187#2452C2212yescomplemented
188#2452C2212yescomplemented
189#2452C2212yescomplemented
190#2452C2212yescomplemented
191#2451C2212yescomplemented
192#2451C2212yescomplemented
193#2448C2212yescomplemented
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2448C2212yescomplemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2448C2212yescomplemented
201#2442C2211yescharacteristic, complemented
202#2442C2211yescharacteristic, complemented
203#2441C2211yescharacteristic, complemented
204#2441C2211yescharacteristic, complemented
205#2440C2214yes—
206#2440C2211yescharacteristic, complemented
207#2440C2211yescharacteristic, complemented
208#2439C2211yescharacteristic, complemented
209#2439C2211yescharacteristic, complemented
210#2438C2214yes—
211#2438C2214yes—
212#2438C2212yes—
213#2438C2212yes—
214#2437C2212yes—
215#2437C2212yes—
216#2435C2214yes—
217#2427C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2423C2214yescomplemented
226#2405C2214yes—
227#2401C2212yescomplemented
228#2401C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#397C2212yes—
232C2×#394C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2368C2214yes—
237#2365C2212yescomplemented
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2360C2214yes—
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2357C2212yescomplemented
244#2357C2212yescomplemented
245#2357C2212yescomplemented
246#2357C2212yescomplemented
247#2354C2212yescomplemented
248#2354C2212yescomplemented
249#2354C2212yescomplemented
250#2354C2212yescomplemented
251#2344C2214yes—
252#2342C2214yes—
253#2337C2214yescomplemented
254#2335C2214yescomplemented
255#2331C2212yescomplemented
256#2330C2212yescomplemented
257#2323C2212yescomplemented
258#2323C2214yescomplemented
259#2323C2212yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2316C2211yescharacteristic
263#2314C2214yescomplemented
264#2312C2214yes—
265#2310C2211yescharacteristic
266#2310C2211yescharacteristic
267#2310C2211yescharacteristic
268#2309C2211yescharacteristic
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271#2309C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#386C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2214yes—
293C2×#380C2212yes—
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#544—28no—
305#544—44no—
306#533—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2314yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#124—44no—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8—28no—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×#121—44no—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349#519—44no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×D4—28no—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×#117—44no—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2314yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2312yes—
396#401C2314yes—
397#401C2314yes—
398#401C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2314yes—
427#399C2312yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2312yes—
481#395C2314yes—
482#395C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2314yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2312yes—
703#383C2312yes—
704#383C2314yes—
705#383C2314yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2311yescharacteristic
709#382C2314yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2314yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#379C2314yes—
750#379C2314yes—
751#379C2312yes—
752#379C2312yes—
753#379C2314yes—
754#379C2314yes—
755#379C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2412yes—
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8—24no—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—82no—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—28no—
844C23×C4—44no—
845C23×C4—82no—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—42no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868C4⋊Q8—44no—
869C4⋊Q8—84no—
870#126—44no—
871#126—44no—
872#125—28no—
873#125—28no—
874#125—42no—
875#125—42no—
876#125—44no—
877#125—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—48no—
883#124—84no—
884#123—48no—
885#123—84no—
886C22⋊Q8—216no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—48no—
897C22⋊Q8—84no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—84no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—44no—
922#117—44no—
923#117—48no—
924#117—42no—
925#117—42no—
926#117—48no—
927#117—84no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4—42no—
932C2×C4⋊C4—82no—
933C2×C4⋊C4#4118yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C22⋊C4—28no—
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—42no—
1007C2×C22⋊C4—42no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4—44no—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C42—24no—
1069C2×C42—24no—
1070C2×C42—44no—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—24no—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—24no—
1185C24—24no—
1186C24—41no—
1187C24—42no—
1188C24—42no—
1189C24—42no—
1190C24—41no—
1191C24—41no—
1192C24—42no—
1193C24C2511yescharacteristic
1194C24C2514yes—
1195C24C2511yescharacteristic
1196C24C2511yescharacteristic
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—28no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—416no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—416no—
1229C2×D4—816no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—416no—
1278C22×C4—816no—
1279C22×C4C2×#4118yes—
1280C22×C4C2×#4114yes—
1281C22×C4H(5,𝔽2)14yes—
1282C22×C42−1+414yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2514yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4C2×#4118yes—
1383C4⋊C4C2×#4118yes—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
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—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—42no—
1466C42—44no—
1467C42—44no—
1468C42—42no—
1469C42—42no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—24no—
1482C23—24no—
1483C23—21no—
1484C23—21no—
1485C23—24no—
1486C23—21no—
1487C23—24no—
1488C23—24no—
1489C23—21no—
1490C23—24no—
1491C23—21no—
1492C23—21no—
1493C23—24no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—48no—
1498C23—48no—
1499C23—44no—
1500C23—48no—
1501C23—84no—
1502C23—82no—
1503C23—84no—
1504C23—84no—
1505C23—82no—
1506C23—84no—
1507C23—82no—
1508C23C22×#4112yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×2−1+412yes—
1511C23#58512yes—
1512C23C2611yescharacteristic
1513Q8—48no—
1514Q8—48no—
1515Q8—88no—
1516Q8—84no—
1517Q8—84no—
1518Q8—164no—
1519D4—48no—
1520D4—48no—
1521D4—88no—
1522D4—88no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—48no—
1609C2×C4—416no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—48no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—88no—
1618C2×C4—82no—
1619C2×C4—84no—
1620C2×C4—82no—
1621C2×C4—82no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4#542116yes—
1625C2×C4C22×#4118yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4#58512yes—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—44no—
1647C22—41no—
1648C22—41no—
1649C22—44no—
1650C22—41no—
1651C22—44no—
1652C22—41no—
1653C22—44no—
1654C22—41no—
1655C22—44no—
1656C22—44no—
1657C22—41no—
1658C22—41no—
1659C22—44no—
1660C22—88no—
1661C22—816no—
1662C22C2×#54214yes—
1663C22C23×#4111yescharacteristic
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C22×2−1+411yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22C2×#58511yescharacteristic
1668C22H(7,𝔽2)11yescharacteristic
1669C222−1+611yescharacteristic
1670C4—22no—
1671C4—28no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—44no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—44no—
1699C4C2×#54214yes—
1700C4C2×#54214yes—
1701C2—24no—
1702C2—42no—
1703C2—84no—
1704C2—81no—
1705C2C22×#54211yescharacteristic
1706C2#6283111yescharacteristic
1707C2#6287911yescharacteristic
1708C2#6292411yescharacteristic
1709C2#6292511yescharacteristic
1710C2#6299011yescharacteristic
1711C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42754C2semidirect
2. #42729C2semidirect
3. #42725C2semidirect
4. #42635C2semidirect
5. #42632C2semidirect
6. #42621C2semidirect
7. #42574C2semidirect
8. #42542C2semidirect
9. #41391C2semidirect
10. #40560C2semidirect
11. #40226C2semidirect
12. #40222C2semidirect
13. #40179C2semidirect
14. #40047C2semidirect
15. #39792C2semidirect
16. #39224C2semidirect
17. #39033C2semidirect
18. #39029C2semidirect
19. #38390C2semidirect
20. #37853C2semidirect
21. #35679C2semidirect
22. #35668C2semidirect
23. #35644C2semidirect
24. #35630C2semidirect
26. #35566C2semidirect
27. #35338C2semidirect
29. #35174C2semidirect
30. #34814C2semidirect
31. #34739C2semidirect
33. #34272C2semidirect
34. #34203C2semidirect
35. #34186C2semidirect
45. #2861C22semidirect
46. #2861C22semidirect
50. #2838C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2832C22semidirect
54. #2801C22semidirect
55. #2800C22semidirect
56. #2798C22semidirect
57. #2798C22semidirect
58. #2795C22semidirect
59. #2779C22semidirect
60. #2773C22semidirect
61. #2773C22semidirect
62. #2759C22semidirect
63. #2759C22semidirect
64. #2757C22semidirect
65. #2754C22semidirect
66. #2754C22semidirect
67. #2747C22semidirect
68. #2747C22semidirect
69. #2746C22semidirect
70. #2745C22semidirect
71. #2745C22semidirect
72. #2742C22semidirect
73. #2742C22semidirect
74. #2741C22semidirect
75. #2738C22semidirect
76. #2738C22semidirect
77. #2737C22semidirect
78. #2731C22semidirect
79. #2718C22semidirect
80. #2717C22semidirect
81. #2702C22semidirect
82. #2700C22semidirect
83. #2692C22semidirect
84. #2687C22semidirect
85. #2674C22semidirect
86. #2663C22semidirect
87. #2654C22semidirect
88. #2654C22semidirect
89. #2653C22semidirect
90. #2653C22semidirect
91. #2651C22semidirect
92. #2650C22semidirect
93. #2650C22semidirect
94. #2649C22semidirect
95. #2640C22semidirect
96. #2640C22semidirect
97. #2632C22semidirect
98. #2628C22semidirect
100. #2625C22semidirect
103. #2592C22semidirect
104. #2592C22semidirect
105. #2592C22semidirect
106. #2592C22semidirect
107. #2584C22semidirect
108. #2584C22semidirect
109. #2568C22semidirect
110. #2567C22semidirect
111. #2567C22semidirect
112. #2565C22semidirect
113. #2565C22semidirect
118. #2552C22semidirect
119. #2551C22semidirect
120. #2550C22semidirect
121. #2550C22semidirect
123. #2546C22semidirect
124. #2525C22semidirect
125. #2525C22semidirect
126. #2521C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2514C22semidirect
131. #2511C22semidirect
132. #2511C22semidirect
133. #2511C22semidirect
134. #2511C22semidirect
140. #2497C22semidirect
141. #2497C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2495C22semidirect
145. #2495C22semidirect
146. #2495C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
167. #2489C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
176. #2479C22semidirect
177. #2477C22semidirect
178. #2474C22semidirect
179. #2470C22semidirect
180. #2458C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2453C22semidirect
186. #2453C22semidirect
187. #2452C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2451C22semidirect
192. #2451C22semidirect
193. #2448C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
200. #2448C22semidirect
201. #2442C22semidirect
202. #2442C22semidirect
203. #2441C22semidirect
204. #2441C22semidirect
206. #2440C22semidirect
207. #2440C22semidirect
208. #2439C22semidirect
209. #2439C22semidirect
225. #2423C22semidirect
227. #2401C22semidirect
228. #2401C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
237. #2365C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2357C22semidirect
244. #2357C22semidirect
245. #2357C22semidirect
246. #2357C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
253. #2337C22semidirect
254. #2335C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2323C22semidirect
258. #2323C22semidirect
259. #2323C22semidirect
263. #2314C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×#125C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#427542
#427292
#427252
#426352
#426322
#426212
#425742
#425422
#413912
#405602
#402262
#402222
#401792
#400472
#397922
#392242
#390332
#390292
#383902
#378532
#356792
#356682
#356442
#356302
#355842
#355662
#353382
#352622
#351742
#348142
#347392
C2×#24272
#342722
#342032
#341862