Finite Group Databasebeta

← #7697173

Subgroups — #7697173

Order 512.

7107 conjugacy classes of subgroups.

The subgroup lattice has 1635 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C212yesmaximal, complemented
2#59836C212yesmaximal, complemented
3#59823C211yesmaximal, characteristic, complemented
4#59167C214yesmaximal, complemented
5#59046C212yesmaximal, complemented
6#52160C212yesmaximal, complemented
7#52152C211yesmaximal, characteristic, complemented
8#45175C212yesmaximal, complemented
9#45111C212yesmaximal, complemented
10#44892C212yesmaximal, complemented
11#44398C214yesmaximal, complemented
12#44165C214yesmaximal, complemented
13#44162C214yesmaximal, complemented
14#39883C214yesmaximal, complemented
15#39444C212yesmaximal, complemented
16#39381C211yesmaximal, characteristic, complemented
17#39355C211yesmaximal, characteristic, complemented
18#38434C212yesmaximal, complemented
19#38024C212yesmaximal, complemented
20#37799C212yesmaximal, complemented
21#37724C214yesmaximal, complemented
22#36271C211yesmaximal, characteristic, complemented
23#36230C212yesmaximal, complemented
24#35995C212yesmaximal, complemented
25#35787C212yesmaximal, complemented
26#35736C212yesmaximal, complemented
27#34322C211yesmaximal, characteristic, complemented
28#34313C211yesmaximal, characteristic, complemented
29#34269C212yesmaximal, complemented
30#3521—232no—
31C2×#556C2211yescharacteristic
32C2×#556C2212yescomplemented
33C2×#554C2212yescomplemented
34C2×#553C2214yes—
35C2×#553C2212yes—
36C2×#552C2214yescomplemented
37C2×#552C2212yescomplemented
38C2×#551C2214yes—
39C2×#551C2214yescomplemented
40C2×#550C2211yescharacteristic
41C2×#547C2212yes—
42C2×#546C2212yes—
43C2×#546C2212yescomplemented
44C2×#542C2212yescomplemented
45C2×#541C2212yescomplemented
46C2×#539C2214yes—
47C2×#538C2214yes—
48C2×#535C2212yes—
49C2×#529C2212yes—
50C2×#529C2212yes—
51C2×#529C2214yescomplemented
52C22×#126C2214yescomplemented
53C2×#520C2212yescomplemented
54C2×#518C2212yescomplemented
55C2×C4×#41C2212yes—
56#2860C2212yescomplemented
57#2858C2211yescharacteristic
58#2855C2212yescomplemented
59#2851C2214yescomplemented
60#2733C2212yescomplemented
61#2732C2212yescomplemented
62#2732C2212yescomplemented
63#2732C2212yescomplemented
64#2730C2214yescomplemented
65#2728C2214yescomplemented
66#2727C2212yescomplemented
67#2727C2211yescharacteristic, complemented
68#2726C2211yescharacteristic, complemented
69#2725C2214yescomplemented
70#2725C2212yescomplemented
71#2724C2211yescharacteristic
72#2723C2214yescomplemented
73#2721C2214yescomplemented
74#2718C2214yescomplemented
75#2718C2212yescomplemented
76#2718C2214yescomplemented
77#2714C2214yescomplemented
78#2710C2212yescomplemented
79#2707C2214yescomplemented
80#2707C2214yescomplemented
81#2705C2214yescomplemented
82#2705C2214yescomplemented
83#2701C2212yes—
84#2696C2214yescomplemented
85#2695C2214yescomplemented
86#2694C2214yescomplemented
87#2691C2214yes—
88#2691C2214yescomplemented
89#2689C2212yescomplemented
90#2682C2211yescharacteristic
91#2682C2212yes—
92#2682C2212yes—
93#2682C2214yescomplemented
94#2682C2212yescomplemented
95#2679C2212yes—
96#2679C2212yes—
97#2678C2214yescomplemented
98#2676C2214yes—
99#2674C2212yescomplemented
100#2673C2214yescomplemented
101#2669C2214yescomplemented
102#2664C2214yescomplemented
103#2636C2214yescomplemented
104#2636C2214yescomplemented
105#2624C2212yes—
106#2620C2212yes—
107#2620C2212yescomplemented
108#2611C2214yescomplemented
109#2609C2214yescomplemented
110#2609C2214yescomplemented
111#2603C2214yescomplemented
112#2601C2214yescomplemented
113#2601C2214yescomplemented
114#2601C2214yescomplemented
115#2592C2212yescomplemented
116#2566C2214yescomplemented
117#2560C2214yescomplemented
118#2559C2214yescomplemented
119#2559C2214yescomplemented
120#2554C2214yescomplemented
121#2553C2214yescomplemented
122#2553C2214yescomplemented
123#2552C2212yescomplemented
124#2548C2211yescharacteristic
125#2546C2211yescharacteristic, complemented
126#2545C2212yescomplemented
127#2544C2212yes—
128#2542C2212yescomplemented
129#2540C2212yescomplemented
130#2539C2214yescomplemented
131#2538C2214yescomplemented
132#2538C2212yescomplemented
133#2536C2214yescomplemented
134#2535C2214yescomplemented
135#2534C2214yes—
136#2512C2212yescomplemented
137#2490C2212yescomplemented
138#2489C2212yescomplemented
139#2481C2214yescomplemented
140#2481C2214yescomplemented
141#2475C2214yescomplemented
142#2473C2214yescomplemented
143#2471C2214yescomplemented
144#2468C2214yescomplemented
145#2468C2214yescomplemented
146#2467C2214yescomplemented
147#2466C2214yescomplemented
148#2466C2214yescomplemented
149#2464C2214yescomplemented
150#2463C2214yescomplemented
151#2457C2214yescomplemented
152#2455C2214yescomplemented
153#2454C2212yescomplemented
154#2454C2212yescomplemented
155#2454C2212yescomplemented
156#2453C2212yescomplemented
157#2452C2212yescomplemented
158#2449C2214yescomplemented
159#2448C2212yescomplemented
160#2446C2212yescomplemented
161#2443C2214yescomplemented
162#2443C2214yescomplemented
163#2442C2214yescomplemented
164#2441C2214yescomplemented
165#2437C2214yescomplemented
166#2433C2212yes—
167#2432C2212yes—
168#2432C2212yescomplemented
169#2431C2212yes—
170#2429C2212yescomplemented
171#2428C2212yes—
172#2428C2212yes—
173#2427C2212yescomplemented
174#2426C2214yescomplemented
175#2426C2214yescomplemented
176#2424C2214yes—
177#2424C2214yes—
178#2424C2214yes—
179#2424C2214yescomplemented
180#2424C2214yescomplemented
181#2424C2214yescomplemented
182#2424C2214yescomplemented
183#2422C2214yescomplemented
184#2418C2214yescomplemented
185#2418C2214yescomplemented
186#2418C2214yescomplemented
187#2417C2214yescomplemented
188#2417C2212yescomplemented
189#2416C2212yes—
190#2416C2214yescomplemented
191#2414C2214yescomplemented
192#2412C2214yescomplemented
193#2412C2214yescomplemented
194#2408C2212yescomplemented
195#2407C2212yes—
196#2397C2214yescomplemented
197#2396C2212yescomplemented
198#2395C2212yescomplemented
199#2392C2212yescomplemented
200#2392C2214yescomplemented
201#2392C2214yescomplemented
202#2373C2214yescomplemented
203#2367C2212yes—
204#2367C2212yescomplemented
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2367C2212yescomplemented
208#2366C2211yescharacteristic
209#2366C2212yes—
210#2366C2212yes—
211#2366C2211yescharacteristic
212#2366C2212yes—
213#2366C2212yescomplemented
214#2365C2211yescharacteristic, complemented
215#2365C2211yescharacteristic, complemented
216#2361C2214yescomplemented
217#2361C2212yescomplemented
218#2361C2212yescomplemented
219#2360C2212yescomplemented
220#2360C2212yescomplemented
221#2358C2214yescomplemented
222#2358C2214yescomplemented
223#2358C2214yescomplemented
224#2358C2214yescomplemented
225#2358C2214yescomplemented
226#2355C2211yescharacteristic, complemented
227#2351C2212yescomplemented
228Q8×C4⋊C4C2211yescharacteristic, complemented
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2212yescomplemented
231D4×C4⋊C4C2211yescharacteristic, complemented
232D4×C4⋊C4C2212yescomplemented
233#2346C2212yescomplemented
234#2341C2212yescomplemented
235#2334C2214yescomplemented
236#2324C2212yescomplemented
237#2324C2214yescomplemented
238#2324C2214yescomplemented
239#2324C2214yescomplemented
240#2323C2212yescomplemented
241#2311C2212yes—
242C4×C4⋊Q8C2211yescharacteristic, complemented
243C4×C4⋊Q8C2211yescharacteristic, complemented
244C4×#127C2211yescharacteristic
245C4×#127C2212yescomplemented
246C4×#124C2212yes—
247C4×#123C2212yescomplemented
248C4×#121C2214yescomplemented
249C4×#121C2214yescomplemented
250#2296C2212yescomplemented
251#2295C2212yescomplemented
252#2293C2211yescharacteristic
253#2293C2212yescomplemented
254#2293C2211yescharacteristic, complemented
255#2293C2212yescomplemented
256C2×#390C2212yescomplemented
257#2290C2214yescomplemented
258#2274C2212yescomplemented
259C42×Q8C2211yescharacteristic, complemented
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×D4C2312yes—
263#556—216no—
264#556D4116yescomplemented
265#554—216no—
266#553—232no—
267#553—216no—
268#552—232no—
269#552—216no—
270#551—232no—
271#551—232no—
272#550—28no—
273#547—216no—
274#546—216no—
275#546—216no—
276#542—216no—
277#541—216no—
278#539—232no—
279#538—232no—
280#535—216no—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289#529—216no—
290#529—232no—
291#529—216no—
292C2×#126—232no—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2312yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2312yes—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#125C2314yes—
305C2×#125C2312yes—
306C2×#125C2312yes—
307C2×#125C2314yes—
308C2×#125C2314yes—
309C2×#125C2312yes—
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361#520—216no—
362#518—216no—
363C4×#41—216no—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2314yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2314yes—
417C22×C4⋊C4C2312yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C42C2314yes—
425C22×C42C2312yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2312yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#395C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2314yes—
683#382C2314yes—
684#382C2314yes—
685#382C2312yes—
686#381C2314yes—
687#381C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2312yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#379C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735#376C2314yes—
736C43C2311yescharacteristic
737C43C2312yes—
738C25C2414yes—
739C2×#41—28no—
740C2×#41—28no—
741C2×#41—28no—
742C2×#41—28no—
743C2×#41—44no—
744C2×#41—44no—
745C22×Q8C2412yes—
746C22×Q8C2411yescharacteristic
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×D4—28no—
750C22×D4—28no—
751C22×D4—44no—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C4⋊Q8—28no—
786C4⋊Q8—42no—
787C4⋊Q8—42no—
788C4⋊Q8C2×D418yes—
789#127—28no—
790#127—28no—
791#127—42no—
792#127#4118yes—
793#126—216no—
794#126—216no—
795#126—216no—
796#126—28no—
797#126—28no—
798#126—216no—
799#126—216no—
800#126—216no—
801#126—216no—
802#126—216no—
803#126C2×D4132yes—
804#125—216no—
805#125—28no—
806#125—28no—
807#125—216no—
808#125—28no—
809#125—216no—
810#124—216no—
811#124—28no—
812#124—28no—
813#124—28no—
814#124—28no—
815#124—28no—
816#124C2×D4116yes—
817#123—28no—
818#123—216no—
819#123—216no—
820#123—216no—
821#123—216no—
822#123—216no—
823#123—28no—
824#123—216no—
825#123—216no—
826#123—216no—
827#123—44no—
828C22⋊Q8—216no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—28no—
832C22⋊Q8—216no—
833C22⋊Q8—216no—
834C22⋊Q8—28no—
835C22⋊Q8—28no—
836C22⋊Q8—44no—
837C22⋊Q8—84no—
838C22⋊Q8C2×D4116yes—
839#121—28no—
840#121—216no—
841#121—216no—
842#121—28no—
843#121—216no—
844#121—28no—
845#121—216no—
846#121—28no—
847#121—216no—
848#121—216no—
849#121—216no—
850#121—44no—
851#121—84no—
852#121—84no—
853#121—84no—
854#120—216no—
855#120—216no—
856#120—216no—
857#120—216no—
858#120—48no—
859#120—84no—
860#120—84no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—42no—
867C4×Q8—82no—
868C4×Q8—82no—
869C4×Q8C2×D418yes—
870C4×Q8C2×D4116yes—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—216no—
880C4×D4—216no—
881C4×D4—216no—
882C4×D4—216no—
883C4×D4—216no—
884C4×D4—216no—
885C4×D4—216no—
886C4×D4—28no—
887C4×D4—216no—
888C4×D4—24no—
889C4×D4—48no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—82no—
893C4×D4—84no—
894C4×D4—84no—
895C4×D4—82no—
896C4×D4—82no—
897C4×D4—84no—
898C4×D4—84no—
899C4×D4—82no—
900C4×D4C2×D418yes—
901#117—28no—
902#117—216no—
903#117—216no—
904#117—28no—
905#117—216no—
906#117—216no—
907#117—216no—
908#117—28no—
909#117C2×D4116yes—
910C2×C4⋊C4—216no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—216no—
913C2×C4⋊C4—216no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C22⋊C4—216no—
979C2×C22⋊C4—216no—
980C2×C22⋊C4—216no—
981C2×C22⋊C4—216no—
982C2×C22⋊C4—84no—
983C2×C22⋊C4—84no—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C42—28no—
1046C2×C42—216no—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114C24—28no—
1115C24—28no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24C2514yes—
1122C24C2512yes—
1123C24C2512yes—
1124C24C2514yes—
1125#41—432no—
1126#41—432no—
1127C2×Q8—24no—
1128C2×Q8—24no—
1129C2×Q8—22no—
1130C2×Q8—24no—
1131C2×Q8—22no—
1132C2×Q8—24no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8C22×D414yes—
1138C2×Q8C22×D418yes—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—24no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—24no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—24no—
1153C2×D4—28no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—432no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4C22×D414yes—
1194C2×D4C2×#4118yes—
1195C2×D4C2×#4118yes—
1196C2×D4C2×#4118yes—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—28no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4C22×D418yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—44no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—41no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4C22×D414yes—
1322C4⋊C4C22×D418yes—
1323C4⋊C4C22×D418yes—
1324C4⋊C4C22×D4116yes—
1325C4⋊C4C22×D418yes—
1326C4⋊C4C22×D414yes—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4C22×D4116yes—
1386C22⋊C4C22×D418yes—
1387C22⋊C4C22×D4116yes—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—28no—
1392C42—24no—
1393C42—28no—
1394C42—28no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—41no—
1402C42—42no—
1403C42—41no—
1404C42—44no—
1405C42—44no—
1406C42—42no—
1407C42—44no—
1408C42—42no—
1409C42—41no—
1410C42C22×D4116yes—
1411C42C22×D418yes—
1412C42C22×D414yes—
1413C42C2×#4114yes—
1414C23—24no—
1415C23—22no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23—24no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—22no—
1426C23—24no—
1427C23—22no—
1428C23—24no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—24no—
1434C23—22no—
1435C23—24no—
1436C23—24no—
1437C23—22no—
1438C23—22no—
1439C23—24no—
1440C23—416no—
1441C23—88no—
1442C23—88no—
1443C23—88no—
1444C23—88no—
1445C23—164no—
1446C23—164no—
1447C23C23×D414yes—
1448C23C22×#4118yes—
1449C23C2611yescharacteristic
1450Q8—28no—
1451Q8—48no—
1452Q8—48no—
1453Q8—84no—
1454D4—216no—
1455D4—44no—
1456D4—48no—
1457D4—48no—
1458D4—416no—
1459D4—416no—
1460D4—44no—
1461D4—416no—
1462D4—48no—
1463D4—88no—
1464D4—84no—
1465D4—88no—
1466D4—88no—
1467D4—88no—
1468D4—84no—
1469D4—88no—
1470D4—84no—
1471D4—88no—
1472D4—162no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—216no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—416no—
1538C2×C4—416no—
1539C2×C4—48no—
1540C2×C4—88no—
1541C2×C4—88no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—88no—
1545C2×C4—88no—
1546C2×C4—88no—
1547C2×C4—84no—
1548C2×C4—84no—
1549C2×C4—164no—
1550C2×C4C23×D414yes—
1551C2×C4C23×D414yes—
1552C2×C4C23×D414yes—
1553C2×C4C23×D418yes—
1554C2×C4C23×D412yes—
1555C2×C4C23×D412yes—
1556C2×C4C23×D412yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4#58512yes—
1561C2×C4#58512yes—
1562C22—28no—
1563C22—24no—
1564C22—28no—
1565C22—24no—
1566C22—24no—
1567C22—28no—
1568C22—42no—
1569C22—44no—
1570C22—42no—
1571C22—44no—
1572C22—42no—
1573C22—44no—
1574C22—44no—
1575C22—42no—
1576C22—42no—
1577C22—44no—
1578C22—42no—
1579C22—44no—
1580C22—42no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—44no—
1585C22—42no—
1586C22—42no—
1587C22—44no—
1588C22—44no—
1589C22—42no—
1590C22—1616no—
1591C22C24×D411yescharacteristic
1592C22C23×#4111yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22H(7,𝔽2)11yescharacteristic
1596C22H(7,𝔽2)11yescharacteristic
1597C222−1+611yescharacteristic
1598C4—22no—
1599C4—24no—
1600C4—22no—
1601C4—22no—
1602C4—28no—
1603C4—22no—
1604C4—24no—
1605C4—24no—
1606C4—22no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—44no—
1615C4—41no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4D4×#4114yes—
1623C2—48no—
1624C2—44no—
1625C2—82no—
1626C2—84no—
1627C2C2×D4×#4111yescharacteristic
1628C2#6284711yescharacteristic
1629C2#6285311yescharacteristic
1630C2#6296411yescharacteristic
1631C2#6299211yescharacteristic
1632C2#6300311yescharacteristic
1633C2#6306011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3521C2semidirect
2. #59836C2semidirect
3. #59823C2semidirect
4. #59167C2semidirect
5. #59046C2semidirect
6. #52160C2semidirect
7. #52152C2semidirect
8. #45175C2semidirect
9. #45111C2semidirect
10. #44892C2semidirect
11. #44398C2semidirect
12. #44165C2semidirect
13. #44162C2semidirect
14. #39883C2semidirect
15. #39444C2semidirect
16. #39381C2semidirect
17. #39355C2semidirect
18. #38434C2semidirect
19. #38024C2semidirect
20. #37799C2semidirect
21. #37724C2semidirect
22. #36271C2semidirect
23. #36230C2semidirect
24. #35995C2semidirect
25. #35787C2semidirect
26. #35736C2semidirect
27. #34322C2semidirect
28. #34313C2semidirect
29. #34269C2semidirect
32. C2×#556C22semidirect
33. C2×#554C22semidirect
36. C2×#552C22semidirect
37. C2×#552C22semidirect
39. C2×#551C22semidirect
43. C2×#546C22semidirect
44. C2×#542C22semidirect
45. C2×#541C22semidirect
51. C2×#529C22semidirect
52. C22×#126C22semidirect
53. C2×#520C22semidirect
54. C2×#518C22semidirect
56. #2860C22semidirect
58. #2855C22semidirect
59. #2851C22semidirect
60. #2733C22semidirect
61. #2732C22semidirect
62. #2732C22semidirect
63. #2732C22semidirect
64. #2730C22semidirect
65. #2728C22semidirect
66. #2727C22semidirect
67. #2727C22semidirect
68. #2726C22semidirect
69. #2725C22semidirect
70. #2725C22semidirect
72. #2723C22semidirect
73. #2721C22semidirect
74. #2718C22semidirect
75. #2718C22semidirect
76. #2718C22semidirect
77. #2714C22semidirect
78. #2710C22semidirect
79. #2707C22semidirect
80. #2707C22semidirect
81. #2705C22semidirect
82. #2705C22semidirect
84. #2696C22semidirect
85. #2695C22semidirect
86. #2694C22semidirect
88. #2691C22semidirect
89. #2689C22semidirect
93. #2682C22semidirect
94. #2682C22semidirect
97. #2678C22semidirect
99. #2674C22semidirect
100. #2673C22semidirect
101. #2669C22semidirect
102. #2664C22semidirect
103. #2636C22semidirect
104. #2636C22semidirect
107. #2620C22semidirect
108. #2611C22semidirect
109. #2609C22semidirect
110. #2609C22semidirect
111. #2603C22semidirect
112. #2601C22semidirect
113. #2601C22semidirect
114. #2601C22semidirect
115. #2592C22semidirect
116. #2566C22semidirect
117. #2560C22semidirect
118. #2559C22semidirect
119. #2559C22semidirect
120. #2554C22semidirect
121. #2553C22semidirect
122. #2553C22semidirect
123. #2552C22semidirect
125. #2546C22semidirect
126. #2545C22semidirect
128. #2542C22semidirect
129. #2540C22semidirect
130. #2539C22semidirect
131. #2538C22semidirect
132. #2538C22semidirect
133. #2536C22semidirect
134. #2535C22semidirect
136. #2512C22semidirect
137. #2490C22semidirect
138. #2489C22semidirect
139. #2481C22semidirect
140. #2481C22semidirect
141. #2475C22semidirect
142. #2473C22semidirect
143. #2471C22semidirect
144. #2468C22semidirect
145. #2468C22semidirect
146. #2467C22semidirect
147. #2466C22semidirect
148. #2466C22semidirect
149. #2464C22semidirect
150. #2463C22semidirect
151. #2457C22semidirect
152. #2455C22semidirect
153. #2454C22semidirect
154. #2454C22semidirect
155. #2454C22semidirect
156. #2453C22semidirect
157. #2452C22semidirect
158. #2449C22semidirect
159. #2448C22semidirect
160. #2446C22semidirect
161. #2443C22semidirect
162. #2443C22semidirect
163. #2442C22semidirect
164. #2441C22semidirect
165. #2437C22semidirect
168. #2432C22semidirect
170. #2429C22semidirect
173. #2427C22semidirect
174. #2426C22semidirect
175. #2426C22semidirect
179. #2424C22semidirect
180. #2424C22semidirect
181. #2424C22semidirect
182. #2424C22semidirect
183. #2422C22semidirect
184. #2418C22semidirect
185. #2418C22semidirect
186. #2418C22semidirect
187. #2417C22semidirect
188. #2417C22semidirect
190. #2416C22semidirect
191. #2414C22semidirect
192. #2412C22semidirect
193. #2412C22semidirect
194. #2408C22semidirect
196. #2397C22semidirect
197. #2396C22semidirect
198. #2395C22semidirect
199. #2392C22semidirect
200. #2392C22semidirect
201. #2392C22semidirect
202. #2373C22semidirect
204. #2367C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
213. #2366C22semidirect
214. #2365C22semidirect
215. #2365C22semidirect
216. #2361C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2360C22semidirect
220. #2360C22semidirect
221. #2358C22semidirect
222. #2358C22semidirect
223. #2358C22semidirect
224. #2358C22semidirect
225. #2358C22semidirect
226. #2355C22semidirect
227. #2351C22semidirect
228. Q8×C4⋊C4C22semidirect
230. D4×C4⋊C4C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
233. #2346C22semidirect
234. #2341C22semidirect
235. #2334C22semidirect
236. #2324C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2323C22semidirect
242. C4×C4⋊Q8C22semidirect
243. C4×C4⋊Q8C22semidirect
245. C4×#127C22semidirect
247. C4×#123C22semidirect
248. C4×#121C22semidirect
249. C4×#121C22semidirect
250. #2296C22semidirect
251. #2295C22semidirect
253. #2293C22semidirect
254. #2293C22semidirect
255. #2293C22semidirect
256. C2×#390C22semidirect
257. #2290C22semidirect
258. #2274C22semidirect
259. C42×Q8C22semidirect
264. #556D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
#598362
#598232
#591672
#590462
#521602
#521522
#451752
#451112
#448922
#443982
#441652
#441622
#398832
#394442
#393812
#393552
#384342
#380242
#377992
#377242
#362712
#362302
#359952
#357872
#357362
#343222
#343132
#342692