Finite Group Databasebeta

← #7632732

Subgroups — #7632732

Order 512.

5057 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36554C212yesmaximal, complemented
2#36491C212yesmaximal, complemented
3#36413C212yesmaximal, complemented
4#36343C214yesmaximal, complemented
5#36298C212yesmaximal, complemented
6#36295C214yesmaximal, complemented
7#35999C214yesmaximal, complemented
8#35988C214yesmaximal, complemented
9#35919C212yesmaximal, complemented
10#35899C212yesmaximal, complemented
11#35895C212yesmaximal, complemented
12#35884C212yesmaximal, complemented
13#35668C211yesmaximal, characteristic, complemented
14#35661C211yesmaximal, characteristic
15#35655C212yesmaximal, complemented
16#35609C212yesmaximal, complemented
17#35609C212yesmaximal, complemented
18#35604C212yesmaximal, complemented
19#35555C211yesmaximal, characteristic, complemented
20#35542C211yesmaximal, characteristic
21#35267C211yesmaximal, characteristic, complemented
22#35184C212yesmaximal, complemented
23#35183C212yesmaximal, complemented
24#35182C211yesmaximal, characteristic, complemented
25#34941C212yesmaximal, complemented
26#34898C212yesmaximal, complemented
27#34814C211yesmaximal, characteristic, complemented
28C2×#2423C211yesmaximal, characteristic, complemented
29#34272C211yesmaximal, characteristic, complemented
30#34268C211yesmaximal, characteristic, complemented
31#34203C211yesmaximal, characteristic, complemented
32#34188C211yesmaximal, characteristic, complemented
33#34180C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic
35C4×#519C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2866C2214yes—
46#2865C2214yescomplemented
47#2863C2214yescomplemented
48#2863C2212yescomplemented
49#2861C2214yes—
50#2860C2212yescomplemented
51#2853C2214yes—
52#2655C2214yescomplemented
53#2654C2214yes—
54#2654C2214yescomplemented
55#2651C2214yes—
56#2645C2212yescomplemented
57#2644C2212yescomplemented
58#2623C2214yes—
59#2596C2214yes—
60#2596C2214yes—
61#2595C2214yes—
62#2594C2214yes—
63#2594C2214yescomplemented
64#2594C2214yescomplemented
65#2593C2214yes—
66#2590C2214yescomplemented
67#2590C2214yescomplemented
68#2589C2214yes—
69#2588C2214yescomplemented
70#2585C2214yescomplemented
71#2577C2214yescomplemented
72#2575C2214yes—
73#2574C2214yes—
74#2574C2214yescomplemented
75#2570C2212yescomplemented
76#2570C2212yescomplemented
77#2568C2212yescomplemented
78#2567C2212yescomplemented
79#2565C2212yescomplemented
80#2565C2212yescomplemented
81#2563C2212yes—
82#2562C2212yes—
83#2562C2212yes—
84#2552C2212yescomplemented
85#2552C2212yescomplemented
86#2547C2212yes—
87#2538C2212yes—
88#2538C2212yes—
89#2536C2212yes—
90#2536C2212yes—
91#2532C2214yescomplemented
92#2532C2214yescomplemented
93#2531C2214yes—
94#2531C2214yes—
95#2530C2214yescomplemented
96#2529C2214yes—
97#2528C2214yescomplemented
98#2528C2214yescomplemented
99#2528C2214yescomplemented
100#2527C2214yes—
101#2525C2214yes—
102#2525C2214yescomplemented
103#2524C2214yescomplemented
104#2524C2214yescomplemented
105#2522C2214yes—
106#2522C2214yescomplemented
107#2521C2214yes—
108#2520C2214yescomplemented
109#2519C2214yes—
110#2519C2214yescomplemented
111#2516C2214yes—
112#2510C2214yes—
113#2508C2214yescomplemented
114#2507C2212yescomplemented
115#2507C2212yescomplemented
116#2506C2212yescomplemented
117#2506C2212yescomplemented
118#2497C2211yescharacteristic
119#2497C2211yescharacteristic
120#2497C2212yescomplemented
121#2496C2211yescharacteristic
122#2496C2211yescharacteristic
123#2496C2212yescomplemented
124#2495C2211yescharacteristic
125#2495C2211yescharacteristic
126#2495C2212yescomplemented
127#2494C2211yescharacteristic
128#2494C2211yescharacteristic
129#2494C2212yescomplemented
130#2493C2212yes—
131#2493C2212yes—
132#2492C2212yes—
133#2491C2212yes—
134#2490C2212yes—
135#2489C2212yes—
136#2488C2214yes—
137#2481C2214yes—
138#2480C2212yes—
139#2480C2212yes—
140#2479C2214yes—
141#2479C2214yes—
142#2478C2214yescomplemented
143#2475C2214yes—
144#2475C2214yescomplemented
145#2474C2214yes—
146#2473C2214yes—
147#2473C2214yes—
148#2472C2214yes—
149#2468C2214yes—
150#2454C2214yes—
151#2453C2212yescomplemented
152#2453C2212yescomplemented
153#2453C2214yescomplemented
154#2451C2212yescomplemented
155#2451C2212yescomplemented
156#2448C2214yes—
157#2448C2212yescomplemented
158#2448C2212yescomplemented
159#2446C2212yescomplemented
160#2446C2212yescomplemented
161#2438C2214yes—
162#2438C2214yes—
163#2429C2212yes—
164#2429C2212yes—
165#2426C2212yes—
166#2426C2212yes—
167#2423C2212yes—
168#2423C2212yes—
169#2423C2212yes—
170#2423C2212yes—
171#2423C2212yes—
172#2423C2212yes—
173#2423C2212yes—
174#2423C2212yes—
175#2423C2212yescomplemented
176#2423C2212yescomplemented
177#2421C2212yescomplemented
178#2421C2212yescomplemented
179#2413C2214yes—
180#2411C2214yes—
181#2402C2214yescomplemented
182#2401C2212yes—
183#2401C2212yes—
184#2396C2214yes—
185#2396C2214yescomplemented
186#2395C2214yes—
187C2×#399C2212yes—
188C2×#398C2212yes—
189#2370C2212yescomplemented
190#2370C2212yescomplemented
191#2369C2212yescomplemented
192#2368C2214yes—
193#2367C2212yescomplemented
194#2367C2212yescomplemented
195#2365C2212yescomplemented
196#2365C2212yescomplemented
197#2365C2212yescomplemented
198#2363C2211yescharacteristic
199#2363C2211yescharacteristic
200#2362C2212yes—
201#2362C2211yescharacteristic
202#2362C2212yes—
203#2362C2211yescharacteristic
204#2361C2211yescharacteristic
205#2361C2211yescharacteristic
206#2360C2212yes—
207#2360C2211yescharacteristic
208#2360C2212yes—
209#2360C2211yescharacteristic
210#2360C2214yes—
211#2359C2212yes—
212#2359C2212yes—
213#2359C2214yes—
214#2359C2214yes—
215#2358C2212yes—
216#2358C2212yes—
217#2355C2212yescomplemented
218#2355C2212yescomplemented
219#2354C2212yescomplemented
220#2354C2212yescomplemented
221#2352C2214yes—
222#2352C2214yes—
223#2347C2212yes—
224#2346C2212yes—
225#2345C2212yes—
226#2344C2212yes—
227#2344C2214yes—
228#2343C2214yes—
229#2342C2214yes—
230#2342C2214yes—
231#2331C2212yescomplemented
232#2330C2212yescomplemented
233#2323C2212yes—
234#2323C2212yes—
235#2323C2212yescomplemented
236#2323C2212yescomplemented
237#2317C2211yescharacteristic
238#2317C2211yescharacteristic
239#2317C2211yescharacteristic
240#2316C2211yescharacteristic
241#2314C2212yes—
242#2314C2212yes—
243#2314C2212yescomplemented
244#2314C2212yescomplemented
245#2311C2211yescharacteristic
246#2311C2211yescharacteristic
247#2311C2211yescharacteristic
248#2310C2211yescharacteristic
249C4×C4⋊Q8C2212yescomplemented
250C4×#125C2212yescomplemented
251C4×#125C2214yescomplemented
252C4×#126C2212yes—
253C4×#126C2214yes—
254C4×#126C2212yes—
255C4×C22⋊Q8C2212yes—
256C4×C22⋊Q8C2212yes—
257C4×C22⋊Q8C2212yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259#2298C2214yescomplemented
260#2297C2211yescharacteristic
261#2296C2211yescharacteristic
262#2296C2211yescharacteristic
263#2296C2211yescharacteristic
264C2×#391C2211yescharacteristic
265#2293C2212yes—
266#2293C2214yes—
267C2×#389C2211yescharacteristic
268#2290C2212yes—
269#2290C2212yes—
270C2×#388C2212yes—
271C2×#387C2212yes—
272#2285C2212yes—
273#2285C2211yescharacteristic
274#2285C2212yescomplemented
275#2285C2212yescomplemented
276C2×#384C2211yescharacteristic
277#2283C2212yes—
278#2280C2211yescharacteristic
279#2280C2211yescharacteristic
280C2×#380C2211yescharacteristic
281#2276C2212yescomplemented
282#2276C2212yescomplemented
283#2276C2212yescomplemented
284#2276C2212yescomplemented
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2274C2214yes—
289#2274C2211yescharacteristic
290C42×Q8C2212yescomplemented
291C42×Q8C2212yescomplemented
292C42×Q8C2212yescomplemented
293C42×Q8C2212yescomplemented
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2214yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303#536—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316#525—28no—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×C22⋊Q8—28no—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#120C2312yes—
332#519—28no—
333#519—28no—
334C4×#41—28no—
335C2×C4×Q8—28no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×#117—28no—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2312yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397#401C2314yes—
398#401C2312yes—
399#401C2312yes—
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#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
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#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2312yes—
461#395C2314yes—
462#395C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#393C2314yes—
468#393C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2314yes—
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2314yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2311yescharacteristic
503#389C2314yes—
504#389C2314yes—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#384C2312yes—
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#383C2312yes—
675#383C2314yes—
676#383C2312yes—
677#383C2314yes—
678#382C2314yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2314yes—
685#382C2314yes—
686#382C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2312yes—
690#381C2312yes—
691#380C2312yes—
692#380C2311yescharacteristic
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#379C2312yes—
716#379C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C43C2314yes—
817C43C2312yes—
818C43C2314yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859#126—28no—
860#126—44no—
861#126—84no—
862#125—28no—
863#125—28no—
864#125—48no—
865#125—84no—
866#124—28no—
867#124—84no—
868#123—216no—
869#123—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—24no—
877C22⋊Q8—24no—
878C22⋊Q8—216no—
879#121—24no—
880#121—24no—
881#120—28no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—28no—
896C4×Q8—84no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
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—216no—
914#117—216no—
915#117—28no—
916#117—28no—
917#117—48no—
918#117—84no—
919#117—84no—
920#117#4118yes—
921#117#4118yes—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—82no—
931C2×C4⋊C4—82no—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—24no—
1004C2×C22⋊C4—42no—
1005C2×C22⋊C4—82no—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
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×C22⋊C4C2411yescharacteristic
1053C2×C42—28no—
1054C2×C42—24no—
1055C2×C42—24no—
1056C2×C42—28no—
1057C2×C42—28no—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099#95C2414yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177C24—22no—
1178C24—22no—
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24C2511yescharacteristic
1185C24C2512yes—
1186C24C2511yescharacteristic
1187C24C2511yescharacteristic
1188#41—416no—
1189C2×Q8—232no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—28no—
1198C2×Q8—44no—
1199C2×Q8—44no—
1200C2×Q8C2×#4118yes—
1201C2×Q8C2×#4118yes—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—416no—
1268C22×C4C2×#4118yes—
1269C22×C4C2×#4114yes—
1270C22×C4C2×#4114yes—
1271C22×C4C2×#4114yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4114yes—
1370C4⋊C4C2×#4114yes—
1371C4⋊C4C2×#4114yes—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
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—28no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4C2×#4118yes—
1417C22⋊C4C2×#4118yes—
1418C22⋊C42−1+414yes—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—28no—
1429C42—22no—
1430C42—22no—
1431C42—28no—
1432C42—22no—
1433C42—22no—
1434C42—28no—
1435C42—28no—
1436C42—28no—
1437C42—28no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—24no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—42no—
1457C42—42no—
1458C42C2×#4118yes—
1459C42C2×#4118yes—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—82no—
1489C23—82no—
1490C23—82no—
1491C23C22×#4112yes—
1492C23C22×#4112yes—
1493C23C22×#4112yes—
1494C23C2×2−1+412yes—
1495C23C2611yescharacteristic
1496Q8—216no—
1497Q8—216no—
1498Q8—44no—
1499Q8—88no—
1500D4—48no—
1501D4—48no—
1502D4—44no—
1503D4—84no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—216no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—84no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4#529116yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4114yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4118yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4#58512yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—41no—
1642C22—42no—
1643C22—88no—
1644C22C2×#52914yes—
1645C22C23×#4111yescharacteristic
1646C22C23×#4111yescharacteristic
1647C22C23×#4111yescharacteristic
1648C22C22×2−1+411yescharacteristic
1649C22C2×#58511yescharacteristic
1650C22H(7,𝔽2)11yescharacteristic
1651C222−1+611yescharacteristic
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—22no—
1656C4—24no—
1657C4—24no—
1658C4—24no—
1659C4—28no—
1660C4—42no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—44no—
1672C4—44no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—44no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4C2×#52914yes—
1682C4C2×#52914yes—
1683C2—24no—
1684C2—42no—
1685C2—82no—
1686C2—81no—
1687C2C22×#52911yescharacteristic
1688C2#6280511yescharacteristic
1689C2#6285711yescharacteristic
1690C2#6299311yescharacteristic
1691C2#6299811yescharacteristic
1692C2#6300011yescharacteristic
1693C2#6300611yescharacteristic
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. #36554C2semidirect
2. #36491C2semidirect
3. #36413C2semidirect
4. #36343C2semidirect
5. #36298C2semidirect
6. #36295C2semidirect
7. #35999C2semidirect
8. #35988C2semidirect
9. #35919C2semidirect
10. #35899C2semidirect
11. #35895C2semidirect
12. #35884C2semidirect
13. #35668C2semidirect
15. #35655C2semidirect
16. #35609C2semidirect
17. #35609C2semidirect
18. #35604C2semidirect
19. #35555C2semidirect
21. #35267C2semidirect
22. #35184C2semidirect
23. #35183C2semidirect
24. #35182C2semidirect
25. #34941C2semidirect
26. #34898C2semidirect
27. #34814C2semidirect
28. C2×#2423C2semidirect
29. #34272C2semidirect
30. #34268C2semidirect
31. #34203C2semidirect
32. #34188C2semidirect
33. #34180C2semidirect
35. C4×#519C2semidirect
46. #2865C22semidirect
47. #2863C22semidirect
48. #2863C22semidirect
50. #2860C22semidirect
52. #2655C22semidirect
54. #2654C22semidirect
56. #2645C22semidirect
57. #2644C22semidirect
63. #2594C22semidirect
64. #2594C22semidirect
66. #2590C22semidirect
67. #2590C22semidirect
69. #2588C22semidirect
70. #2585C22semidirect
71. #2577C22semidirect
74. #2574C22semidirect
75. #2570C22semidirect
76. #2570C22semidirect
77. #2568C22semidirect
78. #2567C22semidirect
79. #2565C22semidirect
80. #2565C22semidirect
84. #2552C22semidirect
85. #2552C22semidirect
91. #2532C22semidirect
92. #2532C22semidirect
95. #2530C22semidirect
97. #2528C22semidirect
98. #2528C22semidirect
99. #2528C22semidirect
102. #2525C22semidirect
103. #2524C22semidirect
104. #2524C22semidirect
106. #2522C22semidirect
108. #2520C22semidirect
110. #2519C22semidirect
113. #2508C22semidirect
114. #2507C22semidirect
115. #2507C22semidirect
116. #2506C22semidirect
117. #2506C22semidirect
120. #2497C22semidirect
123. #2496C22semidirect
126. #2495C22semidirect
129. #2494C22semidirect
142. #2478C22semidirect
144. #2475C22semidirect
151. #2453C22semidirect
152. #2453C22semidirect
153. #2453C22semidirect
154. #2451C22semidirect
155. #2451C22semidirect
157. #2448C22semidirect
158. #2448C22semidirect
159. #2446C22semidirect
160. #2446C22semidirect
175. #2423C22semidirect
176. #2423C22semidirect
177. #2421C22semidirect
178. #2421C22semidirect
181. #2402C22semidirect
185. #2396C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2369C22semidirect
193. #2367C22semidirect
194. #2367C22semidirect
195. #2365C22semidirect
196. #2365C22semidirect
197. #2365C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
219. #2354C22semidirect
220. #2354C22semidirect
231. #2331C22semidirect
232. #2330C22semidirect
235. #2323C22semidirect
236. #2323C22semidirect
243. #2314C22semidirect
244. #2314C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×#125C22semidirect
251. C4×#125C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. #2298C22semidirect
274. #2285C22semidirect
275. #2285C22semidirect
281. #2276C22semidirect
282. #2276C22semidirect
283. #2276C22semidirect
284. #2276C22semidirect
290. C42×Q8C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#365542
#364912
#364132
#363432
#362982
#362952
#359992
#359882
#359192
#358992
#358952
#358842
#356682
#356612
#356552
#356092
#356042
#355552
#355422
#352672
#351842
#351832
#351822
#349412
#348982
#348142
C2×#24232
#342722
#342682
#342032
#341882
#341802
#341362
C4×#5192