Finite Group Databasebeta

← #7651290

Subgroups — #7651290

Order 512.

4764 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42754C212yesmaximal, complemented
2#42729C212yesmaximal, complemented
3#42699C212yesmaximal, complemented
4#42698C212yesmaximal, complemented
5#42698C212yesmaximal, complemented
6#42635C212yesmaximal, complemented
7#42574C212yesmaximal, complemented
8#42523C212yesmaximal, complemented
9#40870C214yesmaximal, complemented
10#40819C214yesmaximal, complemented
11#40226C212yesmaximal, complemented
12#40179C212yesmaximal, complemented
13#40021C212yesmaximal, complemented
14#40020C212yesmaximal, complemented
15#39515C212yesmaximal, complemented
16#39224C212yesmaximal, complemented
17#39200C212yesmaximal, complemented
18#39033C212yesmaximal, complemented
19#38571C214yesmaximal, complemented
20#38170C214yesmaximal, complemented
21#35630C211yesmaximal, characteristic, complemented
22#35617C211yesmaximal, characteristic
23#35556C211yesmaximal, characteristic
24#35531C211yesmaximal, characteristic
25#35529C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#35338C211yesmaximal, characteristic, complemented
28#35312C211yesmaximal, characteristic, complemented
29#35179C211yesmaximal, characteristic, complemented
30#34938C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2448C211yesmaximal, characteristic, complemented
33#34272C211yesmaximal, characteristic, complemented
34#34266C211yesmaximal, characteristic, complemented
35#34255C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2862C2212yescomplemented
46#2861C2212yes—
47#2861C2212yes—
48#2861C2212yescomplemented
49#2855C2214yes—
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#2642C2212yescomplemented
96#2640C2212yes—
97#2640C2212yes—
98#2640C2212yescomplemented
99#2632C2214yescomplemented
100#2628C2214yescomplemented
101#2627C2214yes—
102#2625C2214yescomplemented
103#2592C2212yes—
104#2592C2212yes—
105#2592C2212yes—
106#2592C2212yes—
107#2592C2212yes—
108#2592C2212yes—
109#2582C2212yescomplemented
110#2582C2212yescomplemented
111#2582C2212yescomplemented
112#2581C2212yescomplemented
113#2581C2212yescomplemented
114#2581C2212yescomplemented
115#2580C2212yescomplemented
116#2568C2212yescomplemented
117#2567C2212yescomplemented
118#2566C2212yes—
119#2566C2212yes—
120#2565C2212yescomplemented
121#2565C2212yescomplemented
122#2563C2212yes—
123#2561C2214yes—
124#2561C2214yes—
125#2552C2211yescharacteristic, complemented
126#2552C2211yescharacteristic, complemented
127#2551C2211yescharacteristic, complemented
128#2551C2211yescharacteristic, complemented
129#2550C2211yescharacteristic, complemented
130#2550C2211yescharacteristic, complemented
131#2550C2211yescharacteristic, complemented
132#2550C2211yescharacteristic, complemented
133#2549C2212yes—
134#2549C2212yes—
135#2548C2212yes—
136#2548C2212yes—
137#2547C2212yes—
138#2547C2212yes—
139#2544C2212yes—
140#2544C2212yes—
141#2542C2212yes—
142#2538C2212yescomplemented
143#2525C2214yescomplemented
144#2525C2214yescomplemented
145#2521C2214yescomplemented
146#2514C2211yescharacteristic, complemented
147#2514C2211yescharacteristic, complemented
148#2514C2212yescomplemented
149#2514C2212yescomplemented
150#2514C2212yescomplemented
151#2514C2212yescomplemented
152#2513C2211yescharacteristic, complemented
153#2513C2211yescharacteristic, complemented
154#2512C2211yescharacteristic, complemented
155#2512C2211yescharacteristic, complemented
156#2511C2211yescharacteristic, complemented
157#2511C2211yescharacteristic, complemented
158#2511C2212yescomplemented
159#2511C2212yescomplemented
160#2511C2212yescomplemented
161#2511C2212yescomplemented
162#2510C2212yes—
163#2510C2212yes—
164#2504C2212yes—
165#2501C2212yes—
166#2500C2212yes—
167#2500C2212yes—
168#2495C2214yescomplemented
169#2494C2214yescomplemented
170#2493C2214yes—
171#2493C2214yes—
172#2492C2214yescomplemented
173#2492C2212yescomplemented
174#2492C2212yescomplemented
175#2491C2212yes—
176#2491C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2489C2212yescomplemented
180#2489C2212yescomplemented
181#2488C2214yes—
182#2488C2214yes—
183#2481C2212yes—
184#2481C2212yes—
185#2479C2214yescomplemented
186#2477C2214yescomplemented
187#2474C2214yescomplemented
188#2472C2214yes—
189#2472C2214yes—
190#2470C2214yescomplemented
191#2458C2214yescomplemented
192#2454C2212yes—
193#2454C2212yes—
194#2452C2212yes—
195#2452C2212yes—
196#2450C2214yes—
197#2449C2214yes—
198#2448C2212yes—
199#2448C2212yes—
200#2448C2212yes—
201#2448C2212yes—
202#2448C2212yes—
203#2448C2212yes—
204#2448C2212yes—
205#2448C2212yes—
206#2448C2212yes—
207#2448C2212yes—
208#2445C2212yes—
209#2445C2212yes—
210#2442C2212yescomplemented
211#2441C2212yescomplemented
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yescomplemented
215#2439C2212yescomplemented
216#2437C2214yes—
217#2437C2214yes—
218#2427C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2427C2212yes—
222#2423C2214yescomplemented
223#2418C2214yes—
224#2418C2214yes—
225#2412C2214yes—
226#2412C2214yes—
227#2401C2212yescomplemented
228#2401C2212yescomplemented
229#2399C2212yescomplemented
230#2399C2212yescomplemented
231C2×#399C2212yes—
232C2×#397C2212yes—
233#2370C2212yescomplemented
234#2370C2212yescomplemented
235#2369C2212yescomplemented
236#2368C2214yes—
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2365C2212yescomplemented
240#2365C2212yescomplemented
241#2365C2212yescomplemented
242#2362C2212yescomplemented
243#2362C2212yescomplemented
244#2360C2214yes—
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2357C2212yes—
248#2357C2212yes—
249#2354C2212yes—
250#2354C2212yes—
251#2342C2214yes—
252#2342C2214yes—
253#2337C2214yescomplemented
254#2335C2214yescomplemented
255#2331C2212yescomplemented
256#2330C2212yescomplemented
257#2323C2214yescomplemented
258#2322C2214yes—
259#2319C2212yes—
260#2319C2212yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2314C2214yescomplemented
265#2311C2211yescharacteristic
266#2310C2211yescharacteristic
267#2310C2211yescharacteristic
268#2310C2211yescharacteristic
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271C4×C4⋊Q8C2212yescomplemented
272C4×C4⋊Q8C2212yescomplemented
273C4×C4⋊Q8C2212yescomplemented
274C4×#125C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#126C2212yescomplemented
277C4×#123C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284C2×#391C2211yescharacteristic
285#2293C2212yes—
286#2293C2212yes—
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#388C2212yes—
291C2×#388C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302#544—28no—
303#536—28no—
304#535—44no—
305#533—44no—
306#533—44no—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#124—44no—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#120C2314yes—
350#520—44no—
351#518—28no—
352C2×C4×Q8—44no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397#401C2312yes—
398#401C2314yes—
399#401C2314yes—
400#401C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#395C2314yes—
476#395C2314yes—
477#395C2312yes—
478#395C2314yes—
479#395C2312yes—
480#395C2312yes—
481#395C2312yes—
482#395C2312yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2314yes—
534#391C2314yes—
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2314yes—
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2314yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
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#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#383C2312yes—
721#383C2312yes—
722#383C2314yes—
723#383C2314yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2314yes—
730#382C2314yes—
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#379C2314yes—
754#379C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859C4⋊Q8—28no—
860C4⋊Q8—44no—
861C4⋊Q8—42no—
862C4⋊Q8—42no—
863C4⋊Q8—42no—
864C4⋊Q8—42no—
865C4⋊Q8—44no—
866#127—44no—
867#126—44no—
868#126—44no—
869#125—28no—
870#125—28no—
871#125—42no—
872#125—42no—
873#125—42no—
874#125—42no—
875#124—28no—
876#124—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—48no—
882#124—84no—
883#123—216no—
884#123—48no—
885#123—84no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—216no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—48no—
894C22⋊Q8—84no—
895C22⋊Q8—84no—
896#121—44no—
897#121—44no—
898#120—48no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—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—
913C4×D4—44no—
914C4×D4—48no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—48no—
922#117—44no—
923#117—84no—
924#117#4118yes—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—42no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—82no—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
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×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4—216no—
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—44no—
1011C2×C22⋊C4—82no—
1012C2×C22⋊C4—82no—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—44no—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
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×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099#95C2414yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24—24no—
1178C24—24no—
1179C24—24no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24C2514yes—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187#41—416no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—28no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—416no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—416no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4C2×#4114yes—
1272C22×C4H(5,𝔽2)14yes—
1273C22×C42−1+414yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
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—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4C2×#4114yes—
1379C4⋊C4C2×#4114yes—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
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—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4C2×#4118yes—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—24no—
1447C42—44no—
1448C42—44no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—44no—
1453C42—42no—
1454C42—44no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42C2×#4118yes—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—24no—
1468C23—24no—
1469C23—22no—
1470C23—22no—
1471C23—24no—
1472C23—22no—
1473C23—24no—
1474C23—24no—
1475C23—22no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—24no—
1480C23—48no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23C22×#4112yes—
1488C23C2×H(5,𝔽2)12yes—
1489C23C2×2−1+412yes—
1490C23C2611yescharacteristic
1491Q8—48no—
1492Q8—48no—
1493Q8—44no—
1494Q8—88no—
1495Q8—84no—
1496Q8—84no—
1497Q8—84no—
1498Q8—84no—
1499D4—48no—
1500D4—48no—
1501D4—48no—
1502D4—44no—
1503D4—164no—
1504D4—164no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4—84no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—84no—
1603C2×C4—164no—
1604C2×C4#542116yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4114yes—
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—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—44no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—44no—
1633C22—42no—
1634C22—44no—
1635C22—168no—
1636C22C2×#54214yes—
1637C22C23×#4111yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C222−1+611yescharacteristic
1644C4—24no—
1645C4—24no—
1646C4—22no—
1647C4—22no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—42no—
1659C4—44no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—44no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4C2×#54214yes—
1675C4C2×#54214yes—
1676C2—24no—
1677C2—82no—
1678C2—84no—
1679C2C22×#54211yescharacteristic
1680C2#6283111yescharacteristic
1681C2#6287911yescharacteristic
1682C2#6295411yescharacteristic
1683C2#6295511yescharacteristic
1684C2#6299511yescharacteristic
1685C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
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. #42699C2semidirect
4. #42698C2semidirect
5. #42698C2semidirect
6. #42635C2semidirect
7. #42574C2semidirect
8. #42523C2semidirect
9. #40870C2semidirect
10. #40819C2semidirect
11. #40226C2semidirect
12. #40179C2semidirect
13. #40021C2semidirect
14. #40020C2semidirect
15. #39515C2semidirect
16. #39224C2semidirect
17. #39200C2semidirect
18. #39033C2semidirect
19. #38571C2semidirect
20. #38170C2semidirect
21. #35630C2semidirect
25. #35529C2semidirect
26. #35519C2semidirect
27. #35338C2semidirect
28. #35312C2semidirect
29. #35179C2semidirect
30. #34938C2semidirect
31. #34816C2semidirect
32. C2×#2448C2semidirect
33. #34272C2semidirect
34. #34266C2semidirect
35. #34255C2semidirect
45. #2862C22semidirect
48. #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. #2642C22semidirect
98. #2640C22semidirect
99. #2632C22semidirect
100. #2628C22semidirect
102. #2625C22semidirect
109. #2582C22semidirect
110. #2582C22semidirect
111. #2582C22semidirect
112. #2581C22semidirect
113. #2581C22semidirect
114. #2581C22semidirect
115. #2580C22semidirect
116. #2568C22semidirect
117. #2567C22semidirect
120. #2565C22semidirect
121. #2565C22semidirect
125. #2552C22semidirect
126. #2552C22semidirect
127. #2551C22semidirect
128. #2551C22semidirect
129. #2550C22semidirect
130. #2550C22semidirect
131. #2550C22semidirect
132. #2550C22semidirect
142. #2538C22semidirect
143. #2525C22semidirect
144. #2525C22semidirect
145. #2521C22semidirect
146. #2514C22semidirect
147. #2514C22semidirect
148. #2514C22semidirect
149. #2514C22semidirect
150. #2514C22semidirect
151. #2514C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2512C22semidirect
155. #2512C22semidirect
156. #2511C22semidirect
157. #2511C22semidirect
158. #2511C22semidirect
159. #2511C22semidirect
160. #2511C22semidirect
161. #2511C22semidirect
168. #2495C22semidirect
169. #2494C22semidirect
172. #2492C22semidirect
173. #2492C22semidirect
174. #2492C22semidirect
179. #2489C22semidirect
180. #2489C22semidirect
185. #2479C22semidirect
186. #2477C22semidirect
187. #2474C22semidirect
190. #2470C22semidirect
191. #2458C22semidirect
210. #2442C22semidirect
211. #2441C22semidirect
214. #2440C22semidirect
215. #2439C22semidirect
222. #2423C22semidirect
227. #2401C22semidirect
228. #2401C22semidirect
229. #2399C22semidirect
230. #2399C22semidirect
233. #2370C22semidirect
234. #2370C22semidirect
235. #2369C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
241. #2365C22semidirect
242. #2362C22semidirect
243. #2362C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
253. #2337C22semidirect
254. #2335C22semidirect
255. #2331C22semidirect
256. #2330C22semidirect
257. #2323C22semidirect
264. #2314C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×#125C22semidirect
275. C4×#126C22semidirect
276. C4×#126C22semidirect

Maximal subgroups

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

subgroupindex
#427542
#427292
#426992
#426982
#426352
#425742
#425232
#408702
#408192
#402262
#401792
#400212
#400202
#395152
#392242
#392002
#390332
#385712
#381702
#356302
#356172
#355562
#355312
#355292
#355192
#353382
#353122
#351792
#349382
#348162
C2×#24482
#342722
#342662
#342552