Finite Group Databasebeta

← #7650689

Subgroups — #7650689

Order 512.

4860 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42742C212yesmaximal, complemented
2#42727C212yesmaximal, complemented
3#42721C212yesmaximal, complemented
4#42639C212yesmaximal, complemented
5#42622C212yesmaximal, complemented
6#42567C212yesmaximal, complemented
7#42559C212yesmaximal, complemented
8#42543C212yesmaximal, complemented
9#40559C214yesmaximal, complemented
10#40558C214yesmaximal, complemented
11#40165C212yesmaximal, complemented
12#40080C212yesmaximal, complemented
13#40072C212yesmaximal, complemented
14#40048C212yesmaximal, complemented
15#39524C212yesmaximal, complemented
16#39035C212yesmaximal, complemented
17#39025C212yesmaximal, complemented
18#39008C212yesmaximal, complemented
19#38064C214yesmaximal, complemented
20#37849C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35668C211yesmaximal, characteristic, complemented
23#35619C211yesmaximal, characteristic, complemented
24#35617C211yesmaximal, characteristic
25#35575C211yesmaximal, characteristic, complemented
26#35529C211yesmaximal, characteristic, complemented
27#35313C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35152C211yesmaximal, characteristic
30#34948C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic, complemented
32C2×#2447C211yesmaximal, characteristic, complemented
33#34275C211yesmaximal, characteristic
34#34211C211yesmaximal, characteristic, complemented
35#34181C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2863C2212yescomplemented
48#2859C2212yescomplemented
49#2849C2214yes—
50#2835C2214yescomplemented
51#2834C2214yescomplemented
52#2827C2214yescomplemented
53#2827C2214yescomplemented
54#2796C2214yescomplemented
55#2787C2214yescomplemented
56#2787C2214yescomplemented
57#2786C2214yescomplemented
58#2782C2214yescomplemented
59#2770C2214yescomplemented
60#2770C2214yescomplemented
61#2757C2214yescomplemented
62#2750C2214yescomplemented
63#2747C2214yescomplemented
64#2747C2214yescomplemented
65#2746C2214yescomplemented
66#2746C2214yescomplemented
67#2745C2214yescomplemented
68#2745C2214yescomplemented
69#2744C2214yescomplemented
70#2744C2214yescomplemented
71#2743C2214yescomplemented
72#2740C2214yescomplemented
73#2739C2214yescomplemented
74#2739C2214yescomplemented
75#2738C2214yescomplemented
76#2738C2214yescomplemented
77#2737C2214yescomplemented
78#2728C2214yescomplemented
79#2723C2214yescomplemented
80#2707C2214yescomplemented
81#2695C2214yescomplemented
82#2694C2214yescomplemented
83#2690C2214yescomplemented
84#2690C2214yescomplemented
85#2687C2214yescomplemented
86#2653C2214yescomplemented
87#2652C2214yescomplemented
88#2652C2214yescomplemented
89#2652C2214yescomplemented
90#2652C2214yescomplemented
91#2649C2214yescomplemented
92#2647C2212yescomplemented
93#2647C2212yescomplemented
94#2646C2214yescomplemented
95#2645C2212yescomplemented
96#2645C2212yescomplemented
97#2643C2214yescomplemented
98#2638C2214yescomplemented
99#2633C2214yescomplemented
100#2627C2214yescomplemented
101#2623C2214yescomplemented
102#2622C2214yes—
103#2571C2211yescharacteristic, complemented
104#2571C2211yescharacteristic, complemented
105#2570C2211yescharacteristic, complemented
106#2570C2211yescharacteristic, complemented
107#2570C2211yescharacteristic, complemented
108#2570C2211yescharacteristic, complemented
109#2569C2212yes—
110#2569C2212yes—
111#2568C2212yescomplemented
112#2567C2212yescomplemented
113#2566C2212yes—
114#2566C2212yes—
115#2565C2212yescomplemented
116#2565C2212yescomplemented
117#2564C2214yes—
118#2563C2212yes—
119#2552C2211yescharacteristic, complemented
120#2552C2211yescharacteristic, complemented
121#2547C2212yes—
122#2547C2212yes—
123#2544C2212yes—
124#2544C2212yes—
125#2542C2212yes—
126#2523C2214yescomplemented
127#2517C2214yescomplemented
128#2514C2211yescharacteristic, complemented
129#2514C2211yescharacteristic, complemented
130#2514C2212yescomplemented
131#2514C2212yescomplemented
132#2513C2211yescharacteristic, complemented
133#2513C2211yescharacteristic, complemented
134#2512C2211yescharacteristic, complemented
135#2512C2211yescharacteristic, complemented
136#2511C2211yescharacteristic, complemented
137#2511C2211yescharacteristic, complemented
138#2511C2212yescomplemented
139#2511C2212yescomplemented
140#2510C2212yes—
141#2510C2212yes—
142#2509C2212yescomplemented
143#2508C2212yescomplemented
144#2507C2212yescomplemented
145#2506C2212yescomplemented
146#2505C2214yes—
147#2503C2212yescomplemented
148#2502C2212yescomplemented
149#2499C2212yescomplemented
150#2499C2212yescomplemented
151#2498C2214yes—
152#2498C2214yes—
153#2493C2214yes—
154#2493C2214yes—
155#2493C2214yescomplemented
156#2493C2214yescomplemented
157#2488C2214yescomplemented
158#2481C2212yes—
159#2481C2212yes—
160#2481C2214yescomplemented
161#2473C2214yes—
162#2473C2214yescomplemented
163#2473C2214yescomplemented
164#2466C2214yescomplemented
165#2460C2214yescomplemented
166#2454C2212yes—
167#2454C2212yes—
168#2454C2212yescomplemented
169#2453C2212yescomplemented
170#2453C2212yescomplemented
171#2453C2212yescomplemented
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yescomplemented
175#2451C2212yescomplemented
176#2451C2212yescomplemented
177#2451C2212yescomplemented
178#2449C2214yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yes—
182#2447C2212yes—
183#2447C2212yes—
184#2447C2212yes—
185#2447C2212yes—
186#2447C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yes—
190#2447C2212yes—
191#2447C2212yescomplemented
192#2447C2212yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2446C2212yescomplemented
196#2446C2212yescomplemented
197#2445C2212yes—
198#2445C2212yes—
199#2442C2212yes—
200#2442C2212yes—
201#2442C2212yescomplemented
202#2441C2212yescomplemented
203#2440C2212yescomplemented
204#2439C2212yescomplemented
205#2438C2214yes—
206#2438C2214yes—
207#2437C2214yes—
208#2437C2214yes—
209#2427C2212yes—
210#2427C2212yes—
211#2427C2212yes—
212#2427C2212yes—
213#2423C2212yescomplemented
214#2423C2212yescomplemented
215#2422C2212yes—
216#2422C2212yes—
217#2421C2212yescomplemented
218#2421C2212yescomplemented
219#2420C2212yes—
220#2420C2212yes—
221#2419C2214yes—
222#2419C2214yes—
223#2419C2214yescomplemented
224#2417C2214yes—
225#2412C2214yes—
226#2412C2214yes—
227#2402C2212yescomplemented
228#2402C2212yescomplemented
229#2401C2212yescomplemented
230#2401C2212yescomplemented
231C2×#397C2212yes—
232C2×#397C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2358C2214yes—
242#2358C2214yes—
243#2349C2212yes—
244#2349C2212yes—
245#2349C2212yes—
246#2349C2212yes—
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2212yes—
251#2342C2214yes—
252#2342C2214yes—
253#2329C2214yescomplemented
254#2328C2212yes—
255#2326C2212yes—
256#2326C2212yes—
257#2326C2212yes—
258#2322C2214yescomplemented
259#2318C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2315C2214yes—
266#2313C2214yescomplemented
267#2311C2211yescharacteristic
268#2310C2211yescharacteristic
269#2310C2211yescharacteristic
270#2309C2211yescharacteristic
271C4×#127C2212yes—
272C4×#125C2212yescomplemented
273C4×#125C2212yescomplemented
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#391C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#385C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#381C2212yes—
295C2×#380C2214yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#544—44no—
304#536—44no—
305#535—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#124—28no—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#120C2314yes—
336#520—44no—
337#519—44no—
338#518—44no—
339#518—44no—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—28no—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2314yes—
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389#401C2312yes—
390#401C2314yes—
391#401C2314yes—
392#401C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#383C2312yes—
709#383C2312yes—
710#383C2314yes—
711#383C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#379C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2312yes—
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
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×D4—24no—
831C22×D4—24no—
832C22×D4#4118yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—28no—
840C23×C4—44no—
841C23×C4—82no—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863#127—28no—
864#126—44no—
865#126—44no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—84no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—28no—
875#124—28no—
876#124—44no—
877#123—48no—
878#123—48no—
879#123—84no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—84no—
885C22⋊Q8—84no—
886#121—28no—
887#121—28no—
888#120—216no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—48no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—48no—
909C4×D4—84no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—48no—
918#117—44no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—48no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—84no—
926C2×C4⋊C4—82no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
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×C22⋊C4—28no—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—44no—
1005C2×C22⋊C4—48no—
1006C2×C22⋊C4—48no—
1007C2×C22⋊C4—82no—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C42—24no—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
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#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
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#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24—24no—
1172C24—24no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24C2×#4118yes—
1178C24C2512yes—
1179C24C2514yes—
1180C24C2511yescharacteristic
1181#41—416no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—416no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—28no—
1200C2×D4—232no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4C2×#4118yes—
1213C2×D4C2×#4118yes—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—28no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—44no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—816no—
1266C22×C4C2×#4114yes—
1267C22×C4H(5,𝔽2)14yes—
1268C22×C42−1+414yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
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—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—216no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—48no—
1468C23—48no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23C22×#4118yes—
1474C23C22×#4112yes—
1475C23C2×H(5,𝔽2)12yes—
1476C23C2×2−1+412yes—
1477C23C2611yescharacteristic
1478Q8—48no—
1479Q8—48no—
1480Q8—44no—
1481Q8—164no—
1482D4—216no—
1483D4—216no—
1484D4—48no—
1485D4—44no—
1486D4—88no—
1487D4—88no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—24no—
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—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—44no—
1577C2×C4—416no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—82no—
1582C2×C4—82no—
1583C2×C4—82no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—88no—
1588C2×C4—164no—
1589C2×C4—164no—
1590C2×C4—164no—
1591C2×C4—164no—
1592C2×C4—164no—
1593C2×C4#539116yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4C2×2−1+412yes—
1600C2×C4#58512yes—
1601C2×C4#58512yes—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—28no—
1609C22—28no—
1610C22—28no—
1611C22—44no—
1612C22—44no—
1613C22—44no—
1614C22—44no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—816no—
1623C22C2×#53914yes—
1624C22C23×#4111yescharacteristic
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22H(7,𝔽2)11yescharacteristic
1630C222−1+611yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—44no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—41no—
1647C4—41no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4C2×#53914yes—
1662C4C2×#53914yes—
1663C2—24no—
1664C2—48no—
1665C2—82no—
1666C2C22×#53911yescharacteristic
1667C2#6283111yescharacteristic
1668C2#6287911yescharacteristic
1669C2#6293111yescharacteristic
1670C2#6296111yescharacteristic
1671C2#6299011yescharacteristic
1672C2#6299111yescharacteristic
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. #42742C2semidirect
2. #42727C2semidirect
3. #42721C2semidirect
4. #42639C2semidirect
5. #42622C2semidirect
6. #42567C2semidirect
7. #42559C2semidirect
8. #42543C2semidirect
9. #40559C2semidirect
10. #40558C2semidirect
11. #40165C2semidirect
12. #40080C2semidirect
13. #40072C2semidirect
14. #40048C2semidirect
15. #39524C2semidirect
16. #39035C2semidirect
17. #39025C2semidirect
18. #39008C2semidirect
19. #38064C2semidirect
20. #37849C2semidirect
21. #35673C2semidirect
22. #35668C2semidirect
23. #35619C2semidirect
25. #35575C2semidirect
26. #35529C2semidirect
27. #35313C2semidirect
28. #35265C2semidirect
30. #34948C2semidirect
31. #34816C2semidirect
32. C2×#2447C2semidirect
34. #34211C2semidirect
35. #34181C2semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2859C22semidirect
50. #2835C22semidirect
51. #2834C22semidirect
52. #2827C22semidirect
53. #2827C22semidirect
54. #2796C22semidirect
55. #2787C22semidirect
56. #2787C22semidirect
57. #2786C22semidirect
58. #2782C22semidirect
59. #2770C22semidirect
60. #2770C22semidirect
61. #2757C22semidirect
62. #2750C22semidirect
63. #2747C22semidirect
64. #2747C22semidirect
65. #2746C22semidirect
66. #2746C22semidirect
67. #2745C22semidirect
68. #2745C22semidirect
69. #2744C22semidirect
70. #2744C22semidirect
71. #2743C22semidirect
72. #2740C22semidirect
73. #2739C22semidirect
74. #2739C22semidirect
75. #2738C22semidirect
76. #2738C22semidirect
77. #2737C22semidirect
78. #2728C22semidirect
79. #2723C22semidirect
80. #2707C22semidirect
81. #2695C22semidirect
82. #2694C22semidirect
83. #2690C22semidirect
84. #2690C22semidirect
85. #2687C22semidirect
86. #2653C22semidirect
87. #2652C22semidirect
88. #2652C22semidirect
89. #2652C22semidirect
90. #2652C22semidirect
91. #2649C22semidirect
92. #2647C22semidirect
93. #2647C22semidirect
94. #2646C22semidirect
95. #2645C22semidirect
96. #2645C22semidirect
97. #2643C22semidirect
98. #2638C22semidirect
99. #2633C22semidirect
100. #2627C22semidirect
101. #2623C22semidirect
103. #2571C22semidirect
104. #2571C22semidirect
105. #2570C22semidirect
106. #2570C22semidirect
107. #2570C22semidirect
108. #2570C22semidirect
111. #2568C22semidirect
112. #2567C22semidirect
115. #2565C22semidirect
116. #2565C22semidirect
119. #2552C22semidirect
120. #2552C22semidirect
126. #2523C22semidirect
127. #2517C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2514C22semidirect
131. #2514C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
134. #2512C22semidirect
135. #2512C22semidirect
136. #2511C22semidirect
137. #2511C22semidirect
138. #2511C22semidirect
139. #2511C22semidirect
142. #2509C22semidirect
143. #2508C22semidirect
144. #2507C22semidirect
145. #2506C22semidirect
147. #2503C22semidirect
148. #2502C22semidirect
149. #2499C22semidirect
150. #2499C22semidirect
155. #2493C22semidirect
156. #2493C22semidirect
157. #2488C22semidirect
160. #2481C22semidirect
162. #2473C22semidirect
163. #2473C22semidirect
164. #2466C22semidirect
165. #2460C22semidirect
168. #2454C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
171. #2453C22semidirect
174. #2452C22semidirect
175. #2451C22semidirect
176. #2451C22semidirect
177. #2451C22semidirect
178. #2449C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
195. #2446C22semidirect
196. #2446C22semidirect
201. #2442C22semidirect
202. #2441C22semidirect
203. #2440C22semidirect
204. #2439C22semidirect
213. #2423C22semidirect
214. #2423C22semidirect
217. #2421C22semidirect
218. #2421C22semidirect
223. #2419C22semidirect
227. #2402C22semidirect
228. #2402C22semidirect
229. #2401C22semidirect
230. #2401C22semidirect
253. #2329C22semidirect
258. #2322C22semidirect
259. #2318C22semidirect
266. #2313C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect

Maximal subgroups

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

subgroupindex
#427422
#427272
#427212
#426392
#426222
#425672
#425592
#425432
#405592
#405582
#401652
#400802
#400722
#400482
#395242
#390352
#390252
#390082
#380642
#378492
#356732
#356682
#356192
#356172
#355752
#355292
#353132
#352652
#351522
#349482
#348162
C2×#24472
#342752
#342112
#341812