Finite Group Databasebeta

← #7665659

Subgroups — #7665659

Order 512.

7096 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3455C212yesmaximal, complemented
2#39411C212yesmaximal, complemented
3#39406C212yesmaximal, complemented
4#39402C212yesmaximal, complemented
5#39399C212yesmaximal, complemented
6#39383C211yesmaximal, characteristic, complemented
7#39375C211yesmaximal, characteristic, complemented
8#39348C212yesmaximal, complemented
9#37743C214yesmaximal, complemented
10#37738C214yesmaximal, complemented
11#37734C214yesmaximal, complemented
12#37731C214yesmaximal, complemented
13#37707C212yesmaximal, complemented
14#37697C212yesmaximal, complemented
15#37666C214yesmaximal, complemented
16#36133C211yesmaximal, characteristic, complemented
17#36126C211yesmaximal, characteristic, complemented
18#36118C212yesmaximal, complemented
19#36117C212yesmaximal, complemented
20#36115C212yesmaximal, complemented
21#36113C212yesmaximal, complemented
22#36102C212yesmaximal, complemented
23#35095C214yesmaximal, complemented
24#35094C212yesmaximal, complemented
25#35007C212yesmaximal, complemented
26#35006C211yesmaximal, characteristic, complemented
27C4×#547C212yesmaximal, complemented
28C2×#2354C211yesmaximal, characteristic, complemented
29C4×#539C211yesmaximal, characteristic, complemented
30C2×#547C2212yes—
31#3455—232no—
32C2×#542C2214yescomplemented
33C2×#542C2214yescomplemented
34C2×#541C2214yescomplemented
35C2×#540C2214yescomplemented
36C2×#539C2212yes—
37C2×#539C2214yes—
38C2×#539C2211yescharacteristic
39C2×#538C2214yes—
40C2×#538C2212yes—
41C2×#538C2212yes—
42C2×#533C2212yes—
43C2×#532C2212yes—
44C2×#529C2214yescomplemented
45C2×#529C2214yescomplemented
46C2×#529C2214yescomplemented
47C2×#529C2214yescomplemented
48C2×#525C2214yes—
49C2×C4×#41C2214yes—
50C22×C4×D4C2211yescharacteristic
51C22×#117C2212yes—
52#2860C2212yes—
53#2858C2212yes—
54#2857C2211yescharacteristic
55#2856C2212yes—
56#2856C2211yescharacteristic
57#2855C2212yes—
58#2854C2212yes—
59#2854C2212yes—
60#2854C2212yes—
61#2854C2214yescomplemented
62#2853C2214yescomplemented
63#2852C2214yescomplemented
64#2850C2214yescomplemented
65#2849C2214yes—
66#2733C2212yes—
67#2731C2214yescomplemented
68#2727C2212yes—
69#2725C2214yescomplemented
70#2721C2214yescomplemented
71#2720C2214yescomplemented
72#2718C2214yescomplemented
73#2716C2214yescomplemented
74#2714C2214yes—
75#2712C2214yescomplemented
76#2711C2214yescomplemented
77#2710C2214yes—
78#2710C2214yescomplemented
79#2704C2214yescomplemented
80#2703C2214yescomplemented
81#2702C2214yescomplemented
82#2692C2214yescomplemented
83#2691C2214yescomplemented
84#2690C2214yescomplemented
85#2682C2212yes—
86#2682C2212yes—
87#2680C2214yescomplemented
88#2674C2214yescomplemented
89#2673C2214yescomplemented
90#2672C2214yescomplemented
91#2671C2214yescomplemented
92#2662C2214yes—
93#2661C2214yes—
94#2639C2212yes—
95#2637C2214yescomplemented
96#2635C2214yescomplemented
97#2632C2214yescomplemented
98#2630C2214yescomplemented
99#2626C2212yes—
100#2623C2214yes—
101#2618C2212yes—
102#2617C2212yes—
103#2560C2214yescomplemented
104#2558C2214yescomplemented
105#2555C2214yes—
106#2554C2214yes—
107#2552C2212yescomplemented
108#2551C2211yescharacteristic, complemented
109#2551C2211yescharacteristic, complemented
110#2548C2212yes—
111#2546C2211yescharacteristic, complemented
112#2542C2212yescomplemented
113#2541C2212yes—
114#2541C2211yescharacteristic, complemented
115#2512C2212yes—
116#2512C2212yes—
117#2512C2212yes—
118#2512C2212yescomplemented
119#2512C2212yescomplemented
120#2506C2212yescomplemented
121#2506C2212yescomplemented
122#2506C2212yescomplemented
123#2501C2212yes—
124#2501C2212yescomplemented
125#2496C2212yescomplemented
126#2491C2212yes—
127#2491C2212yes—
128#2491C2212yescomplemented
129#2479C2214yescomplemented
130#2479C2214yescomplemented
131#2479C2214yescomplemented
132#2477C2214yescomplemented
133#2477C2214yescomplemented
134#2476C2214yescomplemented
135#2475C2214yescomplemented
136#2475C2214yescomplemented
137#2474C2214yescomplemented
138#2472C2214yes—
139#2471C2214yescomplemented
140#2471C2214yescomplemented
141#2471C2214yescomplemented
142#2469C2214yescomplemented
143#2469C2214yescomplemented
144#2468C2214yescomplemented
145#2467C2214yescomplemented
146#2467C2214yescomplemented
147#2464C2214yescomplemented
148#2463C2214yes—
149#2463C2214yes—
150#2462C2214yescomplemented
151#2461C2214yescomplemented
152#2461C2214yescomplemented
153#2460C2214yescomplemented
154#2459C2214yescomplemented
155#2458C2214yescomplemented
156#2458C2214yescomplemented
157#2457C2214yescomplemented
158#2456C2214yes—
159#2456C2214yes—
160#2454C2214yescomplemented
161#2452C2212yes—
162#2452C2212yes—
163#2452C2212yescomplemented
164#2452C2212yescomplemented
165#2451C2212yescomplemented
166#2450C2214yescomplemented
167#2449C2214yes—
168#2448C2214yescomplemented
169#2446C2212yescomplemented
170#2445C2212yes—
171#2445C2212yes—
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2444C2214yescomplemented
175#2443C2214yes—
176#2440C2212yes—
177#2440C2212yescomplemented
178#2438C2214yes—
179#2433C2212yes—
180#2430C2214yes—
181#2428C2212yes—
182#2428C2212yes—
183#2428C2212yes—
184#2427C2214yescomplemented
185#2426C2214yescomplemented
186#2425C2214yescomplemented
187#2425C2214yescomplemented
188#2424C2214yes—
189#2424C2214yes—
190#2422C2212yescomplemented
191#2418C2214yes—
192#2416C2212yes—
193#2416C2212yes—
194#2411C2214yes—
195#2408C2212yes—
196#2404C2214yes—
197#2366C2212yes—
198#2366C2212yes—
199#2366C2211yescharacteristic, complemented
200#2365C2211yescharacteristic, complemented
201#2365C2212yescomplemented
202#2365C2212yescomplemented
203#2362C2214yescomplemented
204#2361C2212yes—
205#2361C2212yes—
206#2361C2212yes—
207#2361C2212yescomplemented
208#2361C2212yescomplemented
209#2359C2214yes—
210#2359C2214yescomplemented
211#2354C2212yes—
212#2354C2212yes—
213#2354C2214yes—
214#2354C2214yes—
215#2354C2212yes—
216#2354C2212yes—
217#2354C2212yescomplemented
218Q8×C4⋊C4C2211yescharacteristic, complemented
219D4×C4⋊C4C2212yes—
220D4×C4⋊C4C2211yescharacteristic, complemented
221#2344C2212yes—
222#2344C2212yescomplemented
223#2339C2214yes—
224#2336C2212yescomplemented
225#2335C2212yescomplemented
226#2334C2212yescomplemented
227#2332C2212yescomplemented
228#2329C2211yescharacteristic
229#2325C2212yes—
230#2325C2211yescharacteristic
231#2322C2212yes—
232#2321C2214yes—
233#2318C2212yes—
234#2313C2211yescharacteristic
235C4×C4⋊Q8C2212yescomplemented
236C4×#125C2212yescomplemented
237C4×#126C2212yescomplemented
238C4×C22⋊Q8C2211yescharacteristic
239C4×C22⋊Q8C2212yescomplemented
240C4×C22⋊Q8C2214yescomplemented
241C4×#123C2212yes—
242C4×#123C2214yes—
243C4×#123C2212yescomplemented
244C4×#123C2214yescomplemented
245C4×#121C2211yescharacteristic
246C4×#121C2212yes—
247C4×#121C2212yescomplemented
248C2×#390C2211yescharacteristic
249C2×#390C2211yescharacteristic
250C2×#388C2212yes—
251C2×#388C2212yes—
252C2×#384C2211yescharacteristic
253C2×#380C2212yes—
254C42×D4C2212yes—
255C42×D4C2212yescomplemented
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C4⋊C4C2211yescharacteristic
259C2×C4×C4⋊C4C2212yescomplemented
260C22×#41C2314yes—
261C23×D4C2311yescharacteristic
262C24×C4C2312yes—
263#547—216no—
264#542—232no—
265#542—232no—
266#541—232no—
267#540—232no—
268#539—232no—
269#539—216no—
270#539D4116yescomplemented
271#538—216no—
272#538—216no—
273#538—232no—
274#533—216no—
275#532—216no—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2312yes—
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2312yes—
286#529—232no—
287#529—232no—
288#529—232no—
289#529—232no—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#126C2312yes—
298C2×#125C2314yes—
299C2×#125C2314yes—
300C2×#125C2314yes—
301C2×#125C2314yes—
302C2×#125C2312yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#124C2314yes—
309#525—232no—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2311yescharacteristic
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C4×#41—232no—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4—28no—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×#117—216no—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C42C2314yes—
408C22×C42C2314yes—
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2312yes—
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
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#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#384C2312yes—
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2314yes—
665#384C2312yes—
666#383C2312yes—
667#382C2312yes—
668#381C2312yes—
669#381C2312yes—
670#381C2314yes—
671#381C2314yes—
672#380C2311yescharacteristic
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#379C2314yes—
685C4×C4⋊C4C2311yescharacteristic
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C2×#95C2311yescharacteristic
729C2×#95C2311yescharacteristic
730C2×#95C2312yes—
731C2×#95C2314yes—
732C2×#95C2312yes—
733C43C2312yes—
734C25C2412yes—
735C2×#41—216no—
736C2×#41—216no—
737C2×#41—48no—
738C22×Q8C2414yes—
739C22×Q8C2414yes—
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×D4—24no—
743C22×D4—42no—
744C22×D4—42no—
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C23×C4—28no—
762C23×C4—28no—
763C23×C4—44no—
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C4⋊Q8—28no—
785C4⋊Q8—28no—
786C4⋊Q8—28no—
787C4⋊Q8—28no—
788C4⋊Q8—42no—
789C4⋊Q8—44no—
790#127—28no—
791#127—42no—
792#127—44no—
793#127—44no—
794#126—216no—
795#126—216no—
796#126—216no—
797#126—216no—
798#126—216no—
799#126—216no—
800#126—216no—
801#126C2×D4116yescomplemented
802#125—216no—
803#125—216no—
804#125—216no—
805#125—216no—
806#125C2×D4116yescomplemented
807#124—216no—
808#124—216no—
809#124—216no—
810#124—216no—
811#124—216no—
812#124—84no—
813#123—216no—
814#123—216no—
815#123—216no—
816#123—216no—
817#123—216no—
818#123—216no—
819#123—216no—
820#123—216no—
821#123—216no—
822#123—216no—
823#123—84no—
824#123—84no—
825#123C2×D4116yes—
826#123C2×D4116yescomplemented
827C22⋊Q8—28no—
828C22⋊Q8—216no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—216no—
832C22⋊Q8—216no—
833C22⋊Q8—216no—
834C22⋊Q8—216no—
835C22⋊Q8—84no—
836C22⋊Q8C2×D418yes—
837C22⋊Q8C2×D4116yescomplemented
838#121—216no—
839#121—216no—
840#121—216no—
841#121—28no—
842#121—28no—
843#121—216no—
844#121—28no—
845#121—216no—
846#121—216no—
847#121—216no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—84no—
853#121—84no—
854#121C2×D418yes—
855#120—216no—
856#120—216no—
857#120—48no—
858C4×Q8—28no—
859C4×Q8—216no—
860C4×Q8—28no—
861C4×Q8—216no—
862C4×Q8—216no—
863C4×Q8—42no—
864C4×D4—216no—
865C4×D4—28no—
866C4×D4—216no—
867C4×D4—216no—
868C4×D4—28no—
869C4×D4—216no—
870C4×D4—216no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—216no—
875C4×D4—28no—
876C4×D4—216no—
877C4×D4—216no—
878C4×D4—216no—
879C4×D4—216no—
880C4×D4—216no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—42no—
884C4×D4—44no—
885C4×D4C2×D4116yes—
886#117—216no—
887#117—216no—
888#117—216no—
889#117—216no—
890#117—216no—
891#117—216no—
892#117—216no—
893C2×C4⋊C4—28no—
894C2×C4⋊C4—28no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4—82no—
900C2×C4⋊C4C2×D418yes—
901C2×C4⋊C4#4118yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C22⋊C4—28no—
961C2×C22⋊C4—28no—
962C2×C22⋊C4—28no—
963C2×C22⋊C4—82no—
964C2×C22⋊C4—82no—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C42—28no—
1020C2×C42—28no—
1021C2×C42—216no—
1022C2×C42—24no—
1023C2×C42—216no—
1024C2×C42—42no—
1025C2×C42—44no—
1026C2×C42—42no—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103C24—24no—
1104C24—24no—
1105C24—24no—
1106C24—42no—
1107C24—42no—
1108C24—42no—
1109C24—42no—
1110C24C2514yes—
1111C24C2514yes—
1112C24C2512yes—
1113C24C2511yescharacteristic
1114#41—464no—
1115C2×Q8—28no—
1116C2×Q8—28no—
1117C2×Q8—24no—
1118C2×Q8—28no—
1119C2×Q8—41no—
1120C2×Q8—41no—
1121C2×Q8—44no—
1122C2×Q8—44no—
1123C2×Q8—42no—
1124C2×Q8—44no—
1125C2×Q8—42no—
1126C2×Q8C22×D414yes—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—28no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—41no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—41no—
1151C2×D4—44no—
1152C2×D4—416no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4C22×D418yes—
1175C2×D4C22×D414yes—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—28no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—28no—
1192C22×C4—24no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—41no—
1202C22×C4—42no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—41no—
1208C22×C4—42no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—432no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4C22×D414yes—
1232C22×C4C22×D414yes—
1233C22×C4C22×D414yes—
1234C22×C4C22×D418yes—
1235C22×C4C2×#4114yes—
1236C22×C4C2×#4118yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2514yes—
1246C22×C4C2514yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—41no—
1295C4⋊C4—42no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4C22×D418yes—
1310C4⋊C4C22×D418yes—
1311C4⋊C4C22×D418yes—
1312C4⋊C4C22×D414yes—
1313C4⋊C4C22×D418yes—
1314C4⋊C4C22×D418yes—
1315C4⋊C4C22×D418yes—
1316C4⋊C4C22×D414yes—
1317C4⋊C4C2×#4114yes—
1318C4⋊C4C2×#4114yes—
1319C4⋊C4C2×#4118yes—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
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—24no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4C22×D418yes—
1370C22⋊C4C22×D418yes—
1371C22⋊C4C22×D418yes—
1372C22⋊C4C22×D418yes—
1373C22⋊C4C22×D418yes—
1374C42—28no—
1375C42—24no—
1376C42—28no—
1377C42—28no—
1378C42—24no—
1379C42—28no—
1380C42—24no—
1381C42—24no—
1382C42—28no—
1383C42—28no—
1384C42—28no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—22no—
1390C42—24no—
1391C42—22no—
1392C42—24no—
1393C42—42no—
1394C42—42no—
1395C42—41no—
1396C42—42no—
1397C42—41no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42C22×D418yes—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—24no—
1413C23—24no—
1414C23—24no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—24no—
1419C23—24no—
1420C23—24no—
1421C23—24no—
1422C23—24no—
1423C23—24no—
1424C23—24no—
1425C23—24no—
1426C23—48no—
1427C23—48no—
1428C23—48no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23C23×D414yes—
1434C23C23×D412yes—
1435C23C22×#4112yes—
1436C23#58512yes—
1437C23C2611yescharacteristic
1438Q8—44no—
1439Q8—416no—
1440Q8—84no—
1441Q8—88no—
1442D4—216no—
1443D4—44no—
1444D4—416no—
1445D4—48no—
1446D4—416no—
1447D4—48no—
1448D4—48no—
1449D4—84no—
1450D4—88no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—162no—
1456D4—164no—
1457D4—164no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—28no—
1479C2×C4—216no—
1480C2×C4—28no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—44no—
1524C2×C4—48no—
1525C2×C4—44no—
1526C2×C4—416no—
1527C2×C4—416no—
1528C2×C4—416no—
1529C2×C4—416no—
1530C2×C4—44no—
1531C2×C4—48no—
1532C2×C4—88no—
1533C2×C4—88no—
1534C2×C4—84no—
1535C2×C4—88no—
1536C2×C4—84no—
1537C2×C4—82no—
1538C2×C4—82no—
1539C2×C4—84no—
1540C2×C4C23×D414yes—
1541C2×C4C23×D412yes—
1542C2×C4C23×D414yes—
1543C2×C4C23×D412yes—
1544C2×C4C23×D414yes—
1545C2×C4C23×D414yes—
1546C2×C4C23×D414yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4114yes—
1549C2×C4C22×#4114yes—
1550C2×C4C22×#4112yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—24no—
1560C22—24no—
1561C22—24no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—44no—
1567C22—44no—
1568C22—44no—
1569C22—44no—
1570C22—44no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—44no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—44no—
1580C22—816no—
1581C22D4×#4114yes—
1582C22C24×D411yescharacteristic
1583C22C23×#4111yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22C2×#58511yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22H(7,𝔽2)11yescharacteristic
1588C222−1+611yescharacteristic
1589C4—24no—
1590C4—22no—
1591C4—24no—
1592C4—22no—
1593C4—24no—
1594C4—22no—
1595C4—24no—
1596C4—24no—
1597C4—24no—
1598C4—24no—
1599C4—44no—
1600C4—44no—
1601C4—42no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—42no—
1608C4—41no—
1609C4—42no—
1610C4—42no—
1611C4—44no—
1612C4—42no—
1613C4#345514yescomplemented
1614C2—24no—
1615C2—44no—
1616C2—84no—
1617C2—84no—
1618C2C2×#345511yescharacteristic
1619C2C2×D4×#4111yescharacteristic
1620C2#6285111yescharacteristic
1621C2#6291011yescharacteristic
1622C2#6296411yescharacteristic
1623C2#6298811yescharacteristic
1624C2#6300311yescharacteristic
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×#3455C2semidirect
2. #39411C2semidirect
3. #39406C2semidirect
4. #39402C2semidirect
5. #39399C2semidirect
6. #39383C2semidirect
7. #39375C2semidirect
8. #39348C2semidirect
9. #37743C2semidirect
10. #37738C2semidirect
11. #37734C2semidirect
12. #37731C2semidirect
13. #37707C2semidirect
14. #37697C2semidirect
15. #37666C2semidirect
16. #36133C2semidirect
17. #36126C2semidirect
18. #36118C2semidirect
19. #36117C2semidirect
20. #36115C2semidirect
21. #36113C2semidirect
22. #36102C2semidirect
23. #35095C2semidirect
24. #35094C2semidirect
25. #35007C2semidirect
26. #35006C2semidirect
27. C4×#547C2semidirect
28. C2×#2354C2semidirect
29. C4×#539C2semidirect
32. C2×#542C22semidirect
33. C2×#542C22semidirect
34. C2×#541C22semidirect
35. C2×#540C22semidirect
44. C2×#529C22semidirect
45. C2×#529C22semidirect
46. C2×#529C22semidirect
47. C2×#529C22semidirect
61. #2854C22semidirect
62. #2853C22semidirect
63. #2852C22semidirect
64. #2850C22semidirect
67. #2731C22semidirect
69. #2725C22semidirect
70. #2721C22semidirect
71. #2720C22semidirect
72. #2718C22semidirect
73. #2716C22semidirect
75. #2712C22semidirect
76. #2711C22semidirect
78. #2710C22semidirect
79. #2704C22semidirect
80. #2703C22semidirect
81. #2702C22semidirect
82. #2692C22semidirect
83. #2691C22semidirect
84. #2690C22semidirect
87. #2680C22semidirect
88. #2674C22semidirect
89. #2673C22semidirect
90. #2672C22semidirect
91. #2671C22semidirect
95. #2637C22semidirect
96. #2635C22semidirect
97. #2632C22semidirect
98. #2630C22semidirect
103. #2560C22semidirect
104. #2558C22semidirect
107. #2552C22semidirect
108. #2551C22semidirect
109. #2551C22semidirect
111. #2546C22semidirect
112. #2542C22semidirect
114. #2541C22semidirect
118. #2512C22semidirect
119. #2512C22semidirect
120. #2506C22semidirect
121. #2506C22semidirect
122. #2506C22semidirect
124. #2501C22semidirect
125. #2496C22semidirect
128. #2491C22semidirect
129. #2479C22semidirect
130. #2479C22semidirect
131. #2479C22semidirect
132. #2477C22semidirect
133. #2477C22semidirect
134. #2476C22semidirect
135. #2475C22semidirect
136. #2475C22semidirect
137. #2474C22semidirect
139. #2471C22semidirect
140. #2471C22semidirect
141. #2471C22semidirect
142. #2469C22semidirect
143. #2469C22semidirect
144. #2468C22semidirect
145. #2467C22semidirect
146. #2467C22semidirect
147. #2464C22semidirect
150. #2462C22semidirect
151. #2461C22semidirect
152. #2461C22semidirect
153. #2460C22semidirect
154. #2459C22semidirect
155. #2458C22semidirect
156. #2458C22semidirect
157. #2457C22semidirect
160. #2454C22semidirect
163. #2452C22semidirect
164. #2452C22semidirect
165. #2451C22semidirect
166. #2450C22semidirect
168. #2448C22semidirect
169. #2446C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2444C22semidirect
177. #2440C22semidirect
184. #2427C22semidirect
185. #2426C22semidirect
186. #2425C22semidirect
187. #2425C22semidirect
190. #2422C22semidirect
199. #2366C22semidirect
200. #2365C22semidirect
201. #2365C22semidirect
202. #2365C22semidirect
203. #2362C22semidirect
207. #2361C22semidirect
208. #2361C22semidirect
210. #2359C22semidirect
217. #2354C22semidirect
218. Q8×C4⋊C4C22semidirect
220. D4×C4⋊C4C22semidirect
222. #2344C22semidirect
224. #2336C22semidirect
225. #2335C22semidirect
226. #2334C22semidirect
227. #2332C22semidirect
235. C4×C4⋊Q8C22semidirect
236. C4×#125C22semidirect
237. C4×#126C22semidirect
239. C4×C22⋊Q8C22semidirect
240. C4×C22⋊Q8C22semidirect
243. C4×#123C22semidirect
244. C4×#123C22semidirect
247. C4×#121C22semidirect
255. C42×D4C22semidirect
259. C2×C4×C4⋊C4C22semidirect
270. #539D4semidirect
801. #126C2×D4semidirect
806. #125C2×D4semidirect
826. #123C2×D4semidirect
837. C22⋊Q8C2×D4semidirect
1613. C4#3455semidirect

Maximal subgroups

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

subgroupindex
C2×#34552
#394112
#394062
#394022
#393992
#393832
#393752
#393482
#377432
#377382
#377342
#377312
#377072
#376972
#376662
#361332
#361262
#361182
#361172
#361152
#361132
#361022
#350952
#350942
#350072
#350062
C4×#5472
C2×#23542
C4×#5392