Finite Group Databasebeta

← #7690736

Subgroups — #7690736

Order 512.

4665 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59697C212yesmaximal, complemented
2#59653C211yesmaximal, characteristic, complemented
3#59638C212yesmaximal, complemented
4#59535C214yesmaximal, complemented
5#59509C212yesmaximal, complemented
6#59502C212yesmaximal, complemented
7#59421C211yesmaximal, characteristic
8#59413C211yesmaximal, characteristic, complemented
9#45284C212yesmaximal, complemented
10#45227C212yesmaximal, complemented
11#44343C214yesmaximal, complemented
12#43872C214yesmaximal, complemented
13#40465C214yesmaximal, complemented
14#40220C212yesmaximal, complemented
15#40098C212yesmaximal, complemented
16#39377C211yesmaximal, characteristic
17#39296C212yesmaximal, complemented
18#38976C211yesmaximal, characteristic, complemented
19#36598C211yesmaximal, characteristic, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36554C212yesmaximal, complemented
22#36453C211yesmaximal, characteristic
23#36448C212yesmaximal, complemented
24#36299C211yesmaximal, characteristic, complemented
25#36299C211yesmaximal, characteristic, complemented
26#36279C212yesmaximal, complemented
27#35875C212yesmaximal, complemented
28#35783C212yesmaximal, complemented
29#34974C212yesmaximal, complemented
30#34902C211yesmaximal, characteristic, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34322C211yesmaximal, characteristic, complemented
33#34285C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#542C2212yes—
41#2868C2211yescharacteristic
42#2863C2214yes—
43#2863C2212yes—
44#2863C2212yes—
45#2862C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2855C2212yes—
49#2810C2214yes—
50#2798C2214yes—
51#2781C2214yes—
52#2777C2214yes—
53#2775C2214yes—
54#2767C2214yes—
55#2766C2214yes—
56#2762C2214yes—
57#2759C2214yes—
58#2754C2214yes—
59#2744C2214yes—
60#2725C2214yes—
61#2719C2214yes—
62#2718C2214yes—
63#2718C2214yes—
64#2715C2214yes—
65#2704C2214yes—
66#2702C2214yes—
67#2698C2214yes—
68#2689C2214yes—
69#2674C2214yes—
70#2665C2214yes—
71#2652C2214yes—
72#2645C2212yes—
73#2628C2212yes—
74#2612C2214yes—
75#2611C2214yes—
76#2607C2214yes—
77#2605C2214yes—
78#2596C2214yes—
79#2596C2212yes—
80#2594C2212yes—
81#2592C2211yescharacteristic
82#2590C2214yes—
83#2589C2214yes—
84#2588C2214yes—
85#2586C2214yes—
86#2585C2214yes—
87#2582C2211yescharacteristic
88#2582C2211yescharacteristic
89#2582C2212yes—
90#2582C2211yescharacteristic
91#2581C2211yescharacteristic
92#2576C2214yes—
93#2576C2214yes—
94#2575C2214yes—
95#2574C2214yes—
96#2571C2212yes—
97#2570C2211yescharacteristic
98#2570C2214yes—
99#2568C2212yes—
100#2567C2212yes—
101#2560C2214yes—
102#2558C2214yes—
103#2556C2214yes—
104#2552C2212yes—
105#2550C2212yes—
106#2550C2212yes—
107#2550C2212yes—
108#2545C2212yes—
109#2545C2211yescharacteristic
110#2538C2211yescharacteristic
111#2538C2211yescharacteristic
112#2537C2211yescharacteristic
113#2532C2214yes—
114#2529C2214yes—
115#2528C2214yes—
116#2525C2212yes—
117#2522C2214yes—
118#2520C2214yes—
119#2519C2214yes—
120#2515C2214yes—
121#2515C2214yes—
122#2514C2214yes—
123#2514C2212yes—
124#2514C2211yescharacteristic
125#2514C2214yes—
126#2512C2211yescharacteristic
127#2511C2212yes—
128#2511C2212yes—
129#2511C2214yes—
130#2511C2212yes—
131#2509C2212yes—
132#2509C2212yes—
133#2508C2212yes—
134#2507C2212yes—
135#2507C2212yes—
136#2506C2212yes—
137#2506C2212yes—
138#2505C2214yes—
139#2501C2212yes—
140#2498C2214yes—
141#2496C2212yes—
142#2496C2214yes—
143#2495C2214yes—
144#2495C2212yes—
145#2495C2212yes—
146#2494C2214yes—
147#2494C2212yes—
148#2494C2212yes—
149#2492C2212yes—
150#2491C2212yes—
151#2489C2212yes—
152#2488C2214yes—
153#2479C2214yes—
154#2475C2214yes—
155#2475C2214yes—
156#2474C2214yes—
157#2470C2214yes—
158#2469C2212yes—
159#2462C2214yes—
160#2460C2214yes—
161#2454C2212yes—
162#2451C2212yes—
163#2451C2212yes—
164#2451C2212yes—
165#2448C2212yes—
166#2448C2211yescharacteristic
167#2447C2212yes—
168#2447C2212yes—
169#2446C2212yes—
170#2446C2214yes—
171#2446C2212yes—
172#2446C2211yescharacteristic
173#2441C2212yes—
174#2441C2214yes—
175#2440C2212yes—
176#2439C2212yes—
177#2438C2214yes—
178#2436C2212yes—
179#2434C2212yes—
180#2429C2212yes—
181#2429C2212yes—
182#2427C2212yes—
183#2427C2212yes—
184#2426C2212yes—
185#2423C2212yes—
186#2423C2212yes—
187#2422C2212yes—
188#2421C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2420C2212yes—
192#2419C2214yes—
193#2401C2212yes—
194#2396C2214yes—
195#2396C2212yes—
196#2395C2214yes—
197#2374C2214yes—
198#2373C2212yes—
199#2373C2214yes—
200#2373C2212yes—
201#2370C2212yes—
202#2370C2214yes—
203#2369C2212yes—
204#2369C2212yes—
205#2368C2214yes—
206#2368C2214yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2211yescharacteristic
210#2367C2211yescharacteristic
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2363C2212yes—
216#2362C2212yes—
217#2362C2214yes—
218#2362C2212yes—
219#2361C2212yes—
220#2360C2212yes—
221#2360C2212yes—
222#2360C2212yes—
223#2360C2212yes—
224#2359C2214yes—
225#2356C2211yescharacteristic
226#2356C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2212yes—
230#2355C2211yescharacteristic
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2355C2212yes—
234#2354C2211yescharacteristic
235#2351C2212yes—
236#2351C2212yes—
237#2351C2212yes—
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240#2349C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243#2347C2212yes—
244#2346C2212yes—
245#2345C2212yes—
246#2344C2212yes—
247#2344C2212yes—
248#2343C2214yes—
249Q8×C22⋊C4C2212yes—
250Q8×C22⋊C4C2212yes—
251Q8×C22⋊C4C2212yes—
252#2337C2214yes—
253#2334C2214yes—
254#2334C2214yes—
255#2331C2212yes—
256#2329C2214yes—
257#2323C2212yes—
258#2320C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×#125C2214yes—
267C4×#125C2212yes—
268C4×#126C2212yes—
269C4×#126C2212yes—
270C4×#126C2214yes—
271C4×#126C2212yes—
272C4×#126C2214yes—
273C4×#124C2211yescharacteristic
274C4×#124C2214yes—
275C4×#124C2212yes—
276C4×#124C2211yescharacteristic
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×#121C2212yes—
282#2298C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285C2×#391C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2275C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#557—28no—
301#556—28no—
302#556—28no—
303D4×Q8—28no—
304#542—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2312yes—
379#401C2314yes—
380#401C2314yes—
381#401C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2312yes—
456#393C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#390C2314yes—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2314yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#383C2314yes—
681#383C2312yes—
682#383C2312yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#382C2312yes—
687#382C2314yes—
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2314yes—
694#382C2314yes—
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C43C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8—28no—
816C22×Q8—44no—
817C22×Q8—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—44no—
841C4⋊Q8—42no—
842C4⋊Q8—82no—
843C4⋊Q8#4118yes—
844#126—216no—
845#126—28no—
846#126—216no—
847#126—28no—
848#126—28no—
849#125—216no—
850#125—28no—
851#125—84no—
852#125—82no—
853#125—82no—
854#124—28no—
855#124—24no—
856#124—216no—
857#124—42no—
858#124—42no—
859#124#4118yes—
860#123—216no—
861#123—84no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—216no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—28no—
868C22⋊Q8—44no—
869#121—28no—
870#121—44no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—42no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8—84no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—44no—
900C4×D4—84no—
901#117—28no—
902#117—28no—
903#117—28no—
904#117—28no—
905#117—84no—
906#117—84no—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C42—44no—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155C24C2512yes—
1156C24C2512yes—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—28no—
1164C2×Q8—28no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—41no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—816no—
1180C2×Q8C2×#4114yes—
1181C2×Q8C2×#4118yes—
1182C2×D4—28no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4C2×#4114yes—
1191C22×C4—24no—
1192C22×C4—28no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—24no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2514yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2514yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—28no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4C2×#4118yes—
1319C4⋊C4C2×#4118yes—
1320C4⋊C42−1+414yes—
1321C4⋊C42−1+414yes—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4C2×#4118yes—
1356C22⋊C4C2×#4118yes—
1357C42—24no—
1358C42—24no—
1359C42—28no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—22no—
1364C42—24no—
1365C42—28no—
1366C42—24no—
1367C42—24no—
1368C42—28no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C42—42no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—42no—
1400C42—42no—
1401C42—41no—
1402C42—41no—
1403C42—41no—
1404C42C2×#4114yes—
1405C42C2×#4114yes—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23C22×#4114yes—
1420C23C2611yescharacteristic
1421Q8—28no—
1422Q8—216no—
1423Q8—44no—
1424Q8—44no—
1425Q8—44no—
1426Q8—44no—
1427Q8—88no—
1428Q8—88no—
1429D4—28no—
1430D4—44no—
1431D4—88no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—48no—
1517C2×C4—48no—
1518C2×C4—48no—
1519C2×C4—88no—
1520C2×C4—84no—
1521C2×C4—88no—
1522C2×C4—88no—
1523C2×C4C22×#4114yes—
1524C2×C4C22×#4112yes—
1525C2×C4C22×#4118yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4112yes—
1529C2×C4C22×#4112yes—
1530C2×C4C22×#4112yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+414yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4#58512yes—
1537C2×C4#58512yes—
1538C22—24no—
1539C22—24no—
1540C22—24no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22C23×#4111yescharacteristic
1553C22C23×#4111yescharacteristic
1554C22C22×2−1+411yescharacteristic
1555C22C22×2−1+411yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22H(7,𝔽2)11yescharacteristic
1559C4—22no—
1560C4—22no—
1561C4—22no—
1562C4—22no—
1563C4—28no—
1564C4—22no—
1565C4—22no—
1566C4—24no—
1567C4—24no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—44no—
1576C4—44no—
1577C4—41no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—44no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4#348214yes—
1591C4#352114yes—
1592C2—44no—
1593C2—82no—
1594C2C2×#348211yescharacteristic
1595C2C2×#352111yescharacteristic
1596C2#6280511yescharacteristic
1597C2#6295111yescharacteristic
1598C2#6299911yescharacteristic
1599C2#6301011yescharacteristic
1600C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59697C2semidirect
2. #59653C2semidirect
3. #59638C2semidirect
4. #59535C2semidirect
5. #59509C2semidirect
6. #59502C2semidirect
8. #59413C2semidirect
9. #45284C2semidirect
10. #45227C2semidirect
11. #44343C2semidirect
12. #43872C2semidirect
13. #40465C2semidirect
14. #40220C2semidirect
15. #40098C2semidirect
17. #39296C2semidirect
18. #38976C2semidirect
19. #36598C2semidirect
20. #36563C2semidirect
21. #36554C2semidirect
23. #36448C2semidirect
24. #36299C2semidirect
25. #36299C2semidirect
26. #36279C2semidirect
27. #35875C2semidirect
28. #35783C2semidirect
29. #34974C2semidirect
30. #34902C2semidirect
31. #34334C2semidirect
32. #34322C2semidirect
33. #34285C2semidirect
34. C4×#557C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#596972
#596532
#596382
#595352
#595092
#595022
#594212
#594132
#452842
#452272
#443432
#438722
#404652
#402202
#400982
#393772
#392962
#389762
#365982
#365632
#365542
#364532
#364482
#362992
#362792
#358752
#357832
#349742
#349022
#343342
#343222
#342852
C4×#5572
C4×#5562