Finite Group Databasebeta

← #7631611

Subgroups — #7631611

Order 512.

5150 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36553C212yesmaximal, complemented
2#36552C212yesmaximal, complemented
3#36489C212yesmaximal, complemented
4#36487C212yesmaximal, complemented
5#36256C212yesmaximal, complemented
6#36255C212yesmaximal, complemented
7#36178C212yesmaximal, complemented
8#36177C212yesmaximal, complemented
9#35838C212yesmaximal, complemented
10#35804C212yesmaximal, complemented
11#35803C212yesmaximal, complemented
12#35789C212yesmaximal, complemented
13#35789C212yesmaximal, complemented
14#35726C212yesmaximal, complemented
15#35720C212yesmaximal, complemented
16#35710C212yesmaximal, complemented
17#35630C211yesmaximal, characteristic, complemented
18#35628C211yesmaximal, characteristic, complemented
19#35545C211yesmaximal, characteristic, complemented
20#35543C211yesmaximal, characteristic, complemented
21#35458C214yesmaximal, complemented
22#35380C214yesmaximal, complemented
23#35311C211yesmaximal, characteristic, complemented
24#35306C211yesmaximal, characteristic
25#34999C214yesmaximal, complemented
26#34810C211yesmaximal, characteristic
27#34754C214yesmaximal, complemented
28#34739C211yesmaximal, characteristic, complemented
29#34266C211yesmaximal, characteristic, complemented
30#34252C211yesmaximal, characteristic, complemented
31#34213C211yesmaximal, characteristic, complemented
32#34200C211yesmaximal, characteristic
33#34187C211yesmaximal, characteristic, complemented
34C2×#2360C211yesmaximal, characteristic, complemented
35C2×#2274C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C22×C4×Q8C2211yescharacteristic
42C22×#117C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2857C2212yes—
46#2855C2214yes—
47#2855C2212yes—
48#2855C2212yes—
49#2853C2214yes—
50#2852C2214yes—
51#2851C2214yes—
52#2850C2212yes—
53#2653C2214yes—
54#2652C2214yes—
55#2652C2214yes—
56#2649C2214yes—
57#2625C2212yes—
58#2625C2212yes—
59#2621C2212yes—
60#2620C2212yes—
61#2596C2214yescomplemented
62#2596C2214yescomplemented
63#2594C2214yescomplemented
64#2594C2214yescomplemented
65#2592C2212yescomplemented
66#2592C2212yescomplemented
67#2590C2214yescomplemented
68#2590C2214yescomplemented
69#2589C2214yescomplemented
70#2588C2214yescomplemented
71#2588C2214yescomplemented
72#2587C2214yescomplemented
73#2585C2214yescomplemented
74#2585C2214yescomplemented
75#2577C2214yescomplemented
76#2575C2214yescomplemented
77#2574C2214yescomplemented
78#2573C2214yescomplemented
79#2571C2212yescomplemented
80#2570C2212yescomplemented
81#2570C2212yescomplemented
82#2568C2212yescomplemented
83#2568C2212yescomplemented
84#2552C2212yescomplemented
85#2533C2214yescomplemented
86#2533C2214yescomplemented
87#2532C2214yescomplemented
88#2529C2214yescomplemented
89#2528C2214yescomplemented
90#2528C2214yescomplemented
91#2525C2214yescomplemented
92#2524C2214yescomplemented
93#2524C2214yescomplemented
94#2523C2214yes—
95#2523C2214yes—
96#2518C2214yes—
97#2518C2214yes—
98#2517C2214yes—
99#2517C2214yes—
100#2514C2212yescomplemented
101#2514C2212yescomplemented
102#2514C2212yescomplemented
103#2514C2212yescomplemented
104#2514C2214yescomplemented
105#2514C2212yescomplemented
106#2513C2212yescomplemented
107#2512C2212yescomplemented
108#2511C2212yescomplemented
109#2511C2212yescomplemented
110#2511C2212yescomplemented
111#2511C2212yescomplemented
112#2511C2212yescomplemented
113#2510C2214yes—
114#2510C2214yes—
115#2509C2214yescomplemented
116#2509C2212yescomplemented
117#2508C2212yescomplemented
118#2508C2214yescomplemented
119#2507C2212yescomplemented
120#2506C2212yescomplemented
121#2505C2214yes—
122#2505C2214yes—
123#2505C2214yes—
124#2504C2211yescharacteristic
125#2503C2211yescharacteristic
126#2503C2212yes—
127#2502C2212yes—
128#2502C2211yescharacteristic
129#2501C2211yescharacteristic
130#2500C2211yescharacteristic
131#2500C2211yescharacteristic
132#2499C2212yes—
133#2499C2211yescharacteristic
134#2499C2211yescharacteristic
135#2499C2212yes—
136#2498C2212yes—
137#2498C2212yes—
138#2497C2212yescomplemented
139#2496C2212yescomplemented
140#2495C2212yescomplemented
141#2494C2212yescomplemented
142#2493C2214yes—
143#2493C2214yes—
144#2493C2214yes—
145#2493C2214yes—
146#2492C2212yescomplemented
147#2492C2212yescomplemented
148#2489C2212yescomplemented
149#2489C2212yescomplemented
150#2488C2214yes—
151#2488C2214yes—
152#2488C2214yes—
153#2484C2214yes—
154#2483C2214yes—
155#2481C2214yes—
156#2478C2214yescomplemented
157#2475C2214yescomplemented
158#2473C2214yes—
159#2469C2214yescomplemented
160#2466C2214yes—
161#2460C2214yes—
162#2453C2214yescomplemented
163#2450C2214yes—
164#2442C2211yescharacteristic
165#2442C2211yescharacteristic
166#2441C2211yescharacteristic
167#2441C2211yescharacteristic
168#2440C2211yescharacteristic
169#2440C2211yescharacteristic
170#2439C2211yescharacteristic
171#2439C2211yescharacteristic
172#2438C2212yes—
173#2438C2212yes—
174#2437C2212yes—
175#2437C2212yes—
176#2419C2214yes—
177#2417C2212yes—
178#2417C2212yes—
179#2415C2212yes—
180#2415C2212yes—
181#2413C2214yes—
182#2412C2212yes—
183#2412C2214yes—
184#2412C2212yes—
185#2401C2214yes—
186#2401C2214yes—
187#2398C2214yes—
188#2396C2212yes—
189#2396C2212yes—
190#2395C2214yes—
191#2395C2212yes—
192#2395C2212yes—
193#2370C2212yescomplemented
194#2370C2212yescomplemented
195#2369C2212yescomplemented
196#2367C2212yescomplemented
197#2367C2212yescomplemented
198#2365C2212yescomplemented
199#2365C2212yescomplemented
200#2365C2212yescomplemented
201#2362C2212yescomplemented
202#2362C2212yescomplemented
203#2361C2212yes—
204#2361C2212yes—
205#2360C2212yes—
206#2360C2212yes—
207#2360C2212yes—
208#2360C2212yes—
209#2360C2212yes—
210#2360C2212yes—
211#2360C2212yes—
212#2360C2212yes—
213#2360C2212yes—
214#2360C2212yes—
215#2360C2212yescomplemented
216#2360C2212yescomplemented
217#2357C2212yescomplemented
218#2356C2212yescomplemented
219#2356C2212yescomplemented
220#2356C2212yescomplemented
221#2356C2212yescomplemented
222#2356C2212yescomplemented
223#2355C2212yescomplemented
224#2355C2212yescomplemented
225#2355C2212yescomplemented
226#2355C2212yescomplemented
227#2355C2212yescomplemented
228#2355C2212yescomplemented
229#2355C2212yescomplemented
230#2355C2212yescomplemented
231#2354C2212yescomplemented
232#2352C2212yes—
233#2352C2212yes—
234Q8×C4⋊C4C2212yescomplemented
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yes—
237#2347C2212yescomplemented
238#2346C2212yescomplemented
239#2345C2212yescomplemented
240#2344C2212yescomplemented
241#2329C2214yes—
242#2322C2214yes—
243#2322C2214yes—
244#2318C2214yes—
245#2317C2211yescharacteristic
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2313C2214yes—
250#2311C2211yescharacteristic
251#2311C2211yescharacteristic
252#2310C2211yescharacteristic
253#2310C2211yescharacteristic
254#2310C2211yescharacteristic
255C4×C22⋊Q8C2214yes—
256C4×C22⋊Q8C2212yes—
257C4×C22⋊Q8C2212yes—
258C4×C22⋊Q8C2214yes—
259C4×#123C2212yes—
260C4×#123C2214yes—
261C4×#123C2214yes—
262C4×#123C2212yes—
263C4×#120C2214yes—
264#2297C2211yescharacteristic
265#2297C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268C2×#391C2211yescharacteristic
269C2×#389C2212yes—
270C2×#389C2211yescharacteristic
271#2290C2214yes—
272#2290C2214yes—
273C2×#387C2212yes—
274C2×#385C2212yes—
275#2285C2211yescharacteristic
276#2285C2211yescharacteristic
277#2285C2211yescharacteristic
278#2283C2214yes—
279#2283C2214yes—
280#2280C2211yescharacteristic
281#2274C2211yescharacteristic
282#2274C2211yescharacteristic
283#2274C2214yes—
284#2274C2212yes—
285#2274C2212yes—
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2274C2212yes—
289#2274C2211yescharacteristic
290#2274C2212yes—
291C2×C4×C4⋊C4C2212yes—
292C2×C4×C4⋊C4C2212yes—
293C2×C4×C4⋊C4C2211yescharacteristic
294C2×C4×C4⋊C4C2212yes—
295C2×C4×C4⋊C4C2212yes—
296C2×C4×C22⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2214yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2312yes—
303#536—28no—
304#533—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#126C2314yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2314yes—
312C2×#124C2312yes—
313#525—28no—
314C2×#123C2312yes—
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×C22⋊Q8—28no—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#120C2312yes—
334#520—28no—
335C2×C4×Q8—28no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×#117—28no—
351C2×#117—28no—
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2311yescharacteristic
369C22×C4⋊C4—28no—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C42C2312yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2314yes—
397C22×C42C2314yes—
398C22×C42C2312yes—
399#401C2314yes—
400#401C2314yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#399C2312yes—
426#399C2312yes—
427#399C2312yes—
428#399C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#395C2312yes—
468#395C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2312yes—
475#393C2314yes—
476#393C2314yes—
477#393C2312yes—
478#393C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#382C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2314yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2312yes—
702#381C2314yes—
703#381C2312yes—
704#381C2314yes—
705#381C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#379C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808#376C2314yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
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×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—28no—
838C23×C4—44no—
839C23×C4—82no—
840C23×C4#4118yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—28no—
866#126—84no—
867#125—24no—
868#125—24no—
869#125—84no—
870#124—28no—
871#123—28no—
872#123—216no—
873#123—28no—
874#123—44no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—44no—
887#121—24no—
888#121—24no—
889#120—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—84no—
898C4×D4—216no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—48no—
903C4×D4—84no—
904#117—28no—
905#117—28no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—28no—
917#117—28no—
918#117—28no—
919#117—84no—
920#117#4118yes—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—28no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—24no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—82no—
936C2×C4⋊C4#4118yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4—28no—
1009C2×C22⋊C4—28no—
1010C2×C22⋊C4—28no—
1011C2×C22⋊C4—24no—
1012C2×C22⋊C4—42no—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C42—28no—
1058C2×C42—28no—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—28no—
1062C2×C42—48no—
1063C2×C42—82no—
1064C2×C42—84no—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2414yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24C2×#4114yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2511yescharacteristic
1191C24C2511yescharacteristic
1192#41—416no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—416no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—232no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—41no—
1279C22×C4—816no—
1280C22×C4C2×#4114yes—
1281C22×C4C2×#4114yes—
1282C22×C4C2×#4114yes—
1283C22×C4C2×#4114yes—
1284C22×C4C2×#4114yes—
1285C22×C4C2×#4118yes—
1286C22×C4C2×#4114yes—
1287C22×C4C2×#4114yes—
1288C22×C4C2×#4114yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4C2×#4118yes—
1388C4⋊C4C2×#4118yes—
1389C4⋊C4C2×#4114yes—
1390C4⋊C4C2×#4114yes—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4C2×#4118yes—
1434C22⋊C42−1+414yes—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—28no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—28no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—24no—
1453C42—28no—
1454C42—24no—
1455C42—24no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42C2×#4118yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—28no—
1484C23—28no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23C22×#4112yes—
1498C23C22×#4112yes—
1499C23C22×#4112yes—
1500C23C22×#4112yes—
1501C23C22×#4112yes—
1502C23C2×2−1+412yes—
1503C23#58512yes—
1504C23C2611yescharacteristic
1505Q8—48no—
1506Q8—48no—
1507Q8—48no—
1508Q8—44no—
1509Q8—84no—
1510D4—48no—
1511D4—48no—
1512D4—48no—
1513D4—44no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—28no—
1529C2×C4—28no—
1530C2×C4—28no—
1531C2×C4—28no—
1532C2×C4—28no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—48no—
1600C2×C4—48no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—416no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—82no—
1613C2×C4—82no—
1614C2×C4—84no—
1615C2×C4#529116yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4118yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4114yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4C2×2−1+412yes—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—416no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22C2×#52914yes—
1657C22#350714yes—
1658C22C23×#4111yescharacteristic
1659C22C23×#4111yescharacteristic
1660C22C23×#4111yescharacteristic
1661C22C22×2−1+411yescharacteristic
1662C22C2×#58511yescharacteristic
1663C22H(7,𝔽2)11yescharacteristic
1664C222−1+611yescharacteristic
1665C4—28no—
1666C4—24no—
1667C4—22no—
1668C4—24no—
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—44no—
1673C4—41no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—44no—
1691C4—42no—
1692C4—42no—
1693C4—44no—
1694C4C2×#52914yes—
1695C4C2×#52914yes—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—82no—
1700C2C22×#52911yescharacteristic
1701C2C2×#350711yescharacteristic
1702C2#6284511yescharacteristic
1703C2#6299011yescharacteristic
1704C2#6299311yescharacteristic
1705C2#6299811yescharacteristic
1706C2#6300011yescharacteristic
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. #36553C2semidirect
2. #36552C2semidirect
3. #36489C2semidirect
4. #36487C2semidirect
5. #36256C2semidirect
6. #36255C2semidirect
7. #36178C2semidirect
8. #36177C2semidirect
9. #35838C2semidirect
10. #35804C2semidirect
11. #35803C2semidirect
12. #35789C2semidirect
13. #35789C2semidirect
14. #35726C2semidirect
15. #35720C2semidirect
16. #35710C2semidirect
17. #35630C2semidirect
18. #35628C2semidirect
19. #35545C2semidirect
20. #35543C2semidirect
21. #35458C2semidirect
22. #35380C2semidirect
23. #35311C2semidirect
25. #34999C2semidirect
27. #34754C2semidirect
28. #34739C2semidirect
29. #34266C2semidirect
30. #34252C2semidirect
31. #34213C2semidirect
33. #34187C2semidirect
34. C2×#2360C2semidirect
35. C2×#2274C2semidirect
61. #2596C22semidirect
62. #2596C22semidirect
63. #2594C22semidirect
64. #2594C22semidirect
65. #2592C22semidirect
66. #2592C22semidirect
67. #2590C22semidirect
68. #2590C22semidirect
69. #2589C22semidirect
70. #2588C22semidirect
71. #2588C22semidirect
72. #2587C22semidirect
73. #2585C22semidirect
74. #2585C22semidirect
75. #2577C22semidirect
76. #2575C22semidirect
77. #2574C22semidirect
78. #2573C22semidirect
79. #2571C22semidirect
80. #2570C22semidirect
81. #2570C22semidirect
82. #2568C22semidirect
83. #2568C22semidirect
84. #2552C22semidirect
85. #2533C22semidirect
86. #2533C22semidirect
87. #2532C22semidirect
88. #2529C22semidirect
89. #2528C22semidirect
90. #2528C22semidirect
91. #2525C22semidirect
92. #2524C22semidirect
93. #2524C22semidirect
100. #2514C22semidirect
101. #2514C22semidirect
102. #2514C22semidirect
103. #2514C22semidirect
104. #2514C22semidirect
105. #2514C22semidirect
106. #2513C22semidirect
107. #2512C22semidirect
108. #2511C22semidirect
109. #2511C22semidirect
110. #2511C22semidirect
111. #2511C22semidirect
112. #2511C22semidirect
115. #2509C22semidirect
116. #2509C22semidirect
117. #2508C22semidirect
118. #2508C22semidirect
119. #2507C22semidirect
120. #2506C22semidirect
138. #2497C22semidirect
139. #2496C22semidirect
140. #2495C22semidirect
141. #2494C22semidirect
146. #2492C22semidirect
147. #2492C22semidirect
148. #2489C22semidirect
149. #2489C22semidirect
156. #2478C22semidirect
157. #2475C22semidirect
159. #2469C22semidirect
162. #2453C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2369C22semidirect
196. #2367C22semidirect
197. #2367C22semidirect
198. #2365C22semidirect
199. #2365C22semidirect
200. #2365C22semidirect
201. #2362C22semidirect
202. #2362C22semidirect
215. #2360C22semidirect
216. #2360C22semidirect
217. #2357C22semidirect
218. #2356C22semidirect
219. #2356C22semidirect
220. #2356C22semidirect
221. #2356C22semidirect
222. #2356C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
226. #2355C22semidirect
227. #2355C22semidirect
228. #2355C22semidirect
229. #2355C22semidirect
230. #2355C22semidirect
231. #2354C22semidirect
234. Q8×C4⋊C4C22semidirect
237. #2347C22semidirect
238. #2346C22semidirect
239. #2345C22semidirect
240. #2344C22semidirect

Maximal subgroups

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

subgroupindex
#365532
#365522
#364892
#364872
#362562
#362552
#361782
#361772
#358382
#358042
#358032
#357892
#357262
#357202
#357102
#356302
#356282
#355452
#355432
#354582
#353802
#353112
#353062
#349992
#348102
#347542
#347392
#342662
#342522
#342132
#342002
#341872
C2×#23602
C2×#22742