Finite Group Databasebeta

← #7646609

Subgroups — #7646609

Order 512.

4636 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42766C212yesmaximal, complemented
2#42763C212yesmaximal, complemented
3#42756C212yesmaximal, complemented
4#42754C212yesmaximal, complemented
5#42729C212yesmaximal, complemented
6#42722C212yesmaximal, complemented
7#42717C212yesmaximal, complemented
8#42711C212yesmaximal, complemented
9#40179C212yesmaximal, complemented
10#40166C212yesmaximal, complemented
11#40083C212yesmaximal, complemented
12#40074C212yesmaximal, complemented
13#39535C212yesmaximal, complemented
14#39527C212yesmaximal, complemented
15#39033C212yesmaximal, complemented
16#39026C212yesmaximal, complemented
17#37485C214yesmaximal, complemented
18#36999C214yesmaximal, complemented
19#36988C214yesmaximal, complemented
20#35644C211yesmaximal, characteristic, complemented
21#35633C211yesmaximal, characteristic
22#35575C211yesmaximal, characteristic, complemented
23#35566C211yesmaximal, characteristic, complemented
24#35313C211yesmaximal, characteristic, complemented
25#35312C211yesmaximal, characteristic, complemented
26#35228C214yesmaximal, complemented
27#35182C211yesmaximal, characteristic, complemented
28#35179C211yesmaximal, characteristic, complemented
29#35157C211yesmaximal, characteristic
30#35151C211yesmaximal, characteristic, complemented
31#34814C211yesmaximal, characteristic, complemented
32#34813C211yesmaximal, characteristic
33#34252C211yesmaximal, characteristic, complemented
34C2×#2362C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2863C2212yescomplemented
46#2863C2212yescomplemented
47#2862C2212yescomplemented
48#2861C2212yescomplemented
49#2855C2214yes—
50#2855C2214yes—
51#2853C2214yes—
52#2853C2214yes—
53#2838C2214yes—
54#2837C2214yes—
55#2832C2214yes—
56#2831C2214yes—
57#2801C2214yes—
58#2800C2214yes—
59#2799C2214yescomplemented
60#2798C2214yescomplemented
61#2795C2214yes—
62#2793C2214yes—
63#2777C2214yes—
64#2775C2214yes—
65#2774C2214yescomplemented
66#2773C2214yescomplemented
67#2772C2214yes—
68#2772C2214yes—
69#2767C2214yescomplemented
70#2767C2214yescomplemented
71#2766C2214yescomplemented
72#2762C2214yescomplemented
73#2759C2214yes—
74#2759C2214yescomplemented
75#2758C2214yescomplemented
76#2755C2214yescomplemented
77#2754C2214yes—
78#2754C2214yescomplemented
79#2747C2214yescomplemented
80#2745C2214yescomplemented
81#2742C2214yescomplemented
82#2741C2214yes—
83#2738C2214yescomplemented
84#2737C2214yes—
85#2731C2214yes—
86#2716C2214yes—
87#2702C2214yes—
88#2700C2214yes—
89#2655C2214yescomplemented
90#2655C2214yescomplemented
91#2654C2214yes—
92#2653C2214yes—
93#2651C2214yes—
94#2650C2214yes—
95#2650C2214yes—
96#2650C2214yescomplemented
97#2650C2214yescomplemented
98#2649C2214yes—
99#2645C2212yescomplemented
100#2645C2212yescomplemented
101#2642C2212yescomplemented
102#2640C2212yescomplemented
103#2637C2214yes—
104#2632C2214yes—
105#2627C2214yes—
106#2626C2214yes—
107#2623C2214yes—
108#2622C2214yes—
109#2584C2212yescomplemented
110#2584C2212yescomplemented
111#2582C2212yescomplemented
112#2582C2212yescomplemented
113#2581C2212yescomplemented
114#2581C2212yescomplemented
115#2568C2212yescomplemented
116#2567C2212yescomplemented
117#2567C2212yescomplemented
118#2565C2212yescomplemented
119#2565C2212yescomplemented
120#2564C2214yes—
121#2561C2214yes—
122#2552C2212yescomplemented
123#2551C2212yescomplemented
124#2550C2212yescomplemented
125#2550C2212yescomplemented
126#2549C2214yes—
127#2546C2212yescomplemented
128#2534C2214yes—
129#2532C2214yes—
130#2529C2214yes—
131#2525C2214yescomplemented
132#2525C2214yescomplemented
133#2520C2214yescomplemented
134#2520C2214yescomplemented
135#2514C2212yescomplemented
136#2514C2212yescomplemented
137#2511C2212yescomplemented
138#2511C2214yescomplemented
139#2511C2212yescomplemented
140#2509C2214yescomplemented
141#2503C2214yes—
142#2500C2212yes—
143#2500C2212yes—
144#2499C2212yes—
145#2499C2212yes—
146#2497C2211yescharacteristic
147#2497C2211yescharacteristic
148#2496C2211yescharacteristic
149#2496C2211yescharacteristic
150#2495C2211yescharacteristic
151#2495C2211yescharacteristic
152#2494C2211yescharacteristic
153#2494C2211yescharacteristic
154#2494C2214yescomplemented
155#2493C2214yes—
156#2493C2214yes—
157#2493C2212yes—
158#2493C2212yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2492C2211yescharacteristic
164#2492C2211yescharacteristic
165#2492C2214yescomplemented
166#2492C2212yescomplemented
167#2492C2212yescomplemented
168#2491C2211yescharacteristic
169#2491C2211yescharacteristic
170#2490C2211yescharacteristic
171#2490C2211yescharacteristic
172#2489C2211yescharacteristic
173#2489C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2489C2211yescharacteristic
178#2489C2212yescomplemented
179#2489C2212yescomplemented
180#2488C2214yes—
181#2488C2214yes—
182#2488C2212yes—
183#2488C2212yes—
184#2486C2214yes—
185#2485C2212yes—
186#2485C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2480C2212yes—
190#2480C2212yes—
191#2479C2214yes—
192#2474C2214yes—
193#2472C2212yes—
194#2472C2212yes—
195#2454C2212yescomplemented
196#2453C2212yescomplemented
197#2452C2212yescomplemented
198#2451C2212yescomplemented
199#2448C2212yescomplemented
200#2448C2212yescomplemented
201#2446C2212yescomplemented
202#2446C2212yescomplemented
203#2442C2212yescomplemented
204#2441C2212yes—
205#2441C2212yes—
206#2441C2212yes—
207#2441C2212yes—
208#2441C2212yescomplemented
209#2440C2214yes—
210#2440C2212yescomplemented
211#2439C2212yes—
212#2439C2212yes—
213#2439C2212yes—
214#2439C2212yes—
215#2439C2212yescomplemented
216#2429C2212yes—
217#2429C2212yes—
218#2427C2212yes—
219#2427C2212yes—
220#2423C2212yescomplemented
221#2423C2212yescomplemented
222#2421C2212yescomplemented
223#2421C2212yescomplemented
224#2417C2212yes—
225#2417C2212yes—
226#2417C2214yes—
227#2415C2212yes—
228#2415C2212yes—
229#2401C2212yes—
230#2401C2212yes—
231#2398C2212yes—
232#2398C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2357C2212yescomplemented
242#2356C2212yescomplemented
243#2355C2212yescomplemented
244#2354C2212yescomplemented
245#2347C2212yescomplemented
246#2346C2212yescomplemented
247#2345C2212yescomplemented
248#2344C2212yescomplemented
249#2331C2212yescomplemented
250#2331C2212yescomplemented
251#2331C2214yescomplemented
252#2330C2212yescomplemented
253#2330C2212yescomplemented
254#2329C2214yes—
255#2323C2214yescomplemented
256#2320C2214yescomplemented
257#2318C2214yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2211yescharacteristic
264#2314C2214yescomplemented
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2310C2211yescharacteristic
268#2310C2211yescharacteristic
269#2310C2211yescharacteristic
270C4×C4⋊Q8C2212yescomplemented
271C4×C4⋊Q8C2212yescomplemented
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×C22⋊Q8C2214yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#389C2211yescharacteristic
285#2290C2214yes—
286C2×#388C2212yes—
287C2×#388C2212yes—
288C2×#387C2212yes—
289#2285C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2274C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303#544—44no—
304#536—44no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325#525—44no—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×C22⋊Q8—28no—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#120C2312yes—
345#520—28no—
346C2×C4×Q8—44no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×#117—44no—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#401C2312yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2312yes—
499#393C2312yes—
500#393C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2314yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
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#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#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#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2312yes—
703#383C2312yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2314yes—
718#382C2314yes—
719#382C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#379C2312yes—
752#379C2312yes—
753#379C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
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×Q8C2414yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—48no—
864#126—44no—
865#126—44no—
866#125—28no—
867#125—28no—
868#125—42no—
869#125—42no—
870#125—44no—
871#125—44no—
872#124—44no—
873#124—44no—
874#124—44no—
875#123—44no—
876#123—48no—
877C22⋊Q8—216no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890#121—42no—
891#121—42no—
892#120—44no—
893C4×Q8—28no—
894C4×Q8—48no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×D4—216no—
902C4×D4—28no—
903C4×D4—44no—
904C4×D4—44no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—28no—
913#117—48no—
914#117—44no—
915#117—44no—
916#117—44no—
917#117—44no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4#4118yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—42no—
994C2×C22⋊C4—42no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—44no—
1049C2×C42—44no—
1050C2×C42—44no—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—22no—
1170C24—22no—
1171C24—22no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2511yescharacteristic
1180#41—416no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—28no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—416no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—28no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—416no—
1260C22×C4C2×#4118yes—
1261C22×C4C2×#4114yes—
1262C22×C4H(5,𝔽2)14yes—
1263C22×C42−1+414yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C2×#4118yes—
1361C4⋊C4C2×#4118yes—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C42—28no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—28no—
1429C42—24no—
1430C42—24no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23C22×#4112yes—
1477C23C2×H(5,𝔽2)12yes—
1478C23C2×2−1+412yes—
1479C23C2611yescharacteristic
1480Q8—48no—
1481Q8—48no—
1482Q8—44no—
1483Q8—88no—
1484Q8—84no—
1485Q8—84no—
1486Q8—164no—
1487D4—48no—
1488D4—44no—
1489D4—84no—
1490D4—84no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—88no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—82no—
1590C2×C4#542116yes—
1591C2×C4C22×#4118yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—42no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—88no—
1628C22C2×#54214yes—
1629C22C23×#4111yescharacteristic
1630C22C22×H(5,𝔽2)11yescharacteristic
1631C22C22×2−1+411yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C222−1+611yescharacteristic
1635C222−1+611yescharacteristic
1636C4—28no—
1637C4—22no—
1638C4—22no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—44no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4—41no—
1658C4—44no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—41no—
1665C4C2×#54214yes—
1666C4C2×#54214yes—
1667C2—24no—
1668C2—82no—
1669C2—81no—
1670C2—81no—
1671C2C22×#54211yescharacteristic
1672C2#6278111yescharacteristic
1673C2#6285011yescharacteristic
1674C2#6292511yescharacteristic
1675C2#6292811yescharacteristic
1676C2#6295411yescharacteristic
1677C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42766C2semidirect
2. #42763C2semidirect
3. #42756C2semidirect
4. #42754C2semidirect
5. #42729C2semidirect
6. #42722C2semidirect
7. #42717C2semidirect
8. #42711C2semidirect
9. #40179C2semidirect
10. #40166C2semidirect
11. #40083C2semidirect
12. #40074C2semidirect
13. #39535C2semidirect
14. #39527C2semidirect
15. #39033C2semidirect
16. #39026C2semidirect
17. #37485C2semidirect
18. #36999C2semidirect
19. #36988C2semidirect
20. #35644C2semidirect
22. #35575C2semidirect
23. #35566C2semidirect
24. #35313C2semidirect
25. #35312C2semidirect
26. #35228C2semidirect
27. #35182C2semidirect
28. #35179C2semidirect
30. #35151C2semidirect
31. #34814C2semidirect
33. #34252C2semidirect
34. C2×#2362C2semidirect
35. C4×#544C2semidirect
45. #2863C22semidirect
46. #2863C22semidirect
47. #2862C22semidirect
48. #2861C22semidirect
59. #2799C22semidirect
60. #2798C22semidirect
65. #2774C22semidirect
66. #2773C22semidirect
69. #2767C22semidirect
70. #2767C22semidirect
71. #2766C22semidirect
72. #2762C22semidirect
74. #2759C22semidirect
75. #2758C22semidirect
76. #2755C22semidirect
78. #2754C22semidirect
79. #2747C22semidirect
80. #2745C22semidirect
81. #2742C22semidirect
83. #2738C22semidirect
89. #2655C22semidirect
90. #2655C22semidirect
96. #2650C22semidirect
97. #2650C22semidirect
99. #2645C22semidirect
100. #2645C22semidirect
101. #2642C22semidirect
102. #2640C22semidirect
109. #2584C22semidirect
110. #2584C22semidirect
111. #2582C22semidirect
112. #2582C22semidirect
113. #2581C22semidirect
114. #2581C22semidirect
115. #2568C22semidirect
116. #2567C22semidirect
117. #2567C22semidirect
118. #2565C22semidirect
119. #2565C22semidirect
122. #2552C22semidirect
123. #2551C22semidirect
124. #2550C22semidirect
125. #2550C22semidirect
127. #2546C22semidirect
131. #2525C22semidirect
132. #2525C22semidirect
133. #2520C22semidirect
134. #2520C22semidirect
135. #2514C22semidirect
136. #2514C22semidirect
137. #2511C22semidirect
138. #2511C22semidirect
139. #2511C22semidirect
140. #2509C22semidirect
154. #2494C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
167. #2492C22semidirect
178. #2489C22semidirect
179. #2489C22semidirect
195. #2454C22semidirect
196. #2453C22semidirect
197. #2452C22semidirect
198. #2451C22semidirect
199. #2448C22semidirect
200. #2448C22semidirect
201. #2446C22semidirect
202. #2446C22semidirect
203. #2442C22semidirect
208. #2441C22semidirect
210. #2440C22semidirect
215. #2439C22semidirect
220. #2423C22semidirect
221. #2423C22semidirect
222. #2421C22semidirect
223. #2421C22semidirect
241. #2357C22semidirect
242. #2356C22semidirect
243. #2355C22semidirect
244. #2354C22semidirect
245. #2347C22semidirect
246. #2346C22semidirect
247. #2345C22semidirect
248. #2344C22semidirect
249. #2331C22semidirect
250. #2331C22semidirect
251. #2331C22semidirect
252. #2330C22semidirect
253. #2330C22semidirect
255. #2323C22semidirect
256. #2320C22semidirect
264. #2314C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#427662
#427632
#427562
#427542
#427292
#427222
#427172
#427112
#401792
#401662
#400832
#400742
#395352
#395272
#390332
#390262
#374852
#369992
#369882
#356442
#356332
#355752
#355662
#353132
#353122
#352282
#351822
#351792
#351572
#351512
#348142
#348132
#342522
C2×#23622
C4×#5442