Finite Group Databasebeta

← #7732467

Subgroups — #7732467

Order 512.

6569 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3561C211yesmaximal, characteristic, complemented
3#51210C212yesmaximal, complemented
4#51070C212yesmaximal, complemented
5#50899C212yesmaximal, complemented
6#50696C212yesmaximal, complemented
7#47215C212yesmaximal, complemented
8#46815C212yesmaximal, complemented
9#46430C212yesmaximal, complemented
10#46357C212yesmaximal, complemented
11#45416C212yesmaximal, complemented
12#45404C212yesmaximal, complemented
13#45291C212yesmaximal, complemented
14#45023C212yesmaximal, complemented
15#39951C212yesmaximal, complemented
16#39950C212yesmaximal, complemented
17#39947C214yesmaximal, complemented
18#38438C214yesmaximal, complemented
19#37749C212yesmaximal, complemented
20#37749C212yesmaximal, complemented
21#37711C212yesmaximal, complemented
22#37704C212yesmaximal, complemented
23#37560C211yesmaximal, characteristic, complemented
24#37193C214yesmaximal, complemented
25#36467C212yesmaximal, complemented
26#36268C212yesmaximal, complemented
27#35675C214yesmaximal, complemented
28#35338C211yesmaximal, characteristic, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34910C211yesmaximal, characteristic, complemented
31#34085C211yesmaximal, characteristic, complemented
32#3561—216no—
33C2×#563C2212yes—
34C2×#562C2212yes—
35#3509—216no—
36C2×#557C2212yescomplemented
37C2×#557C2212yescomplemented
38C2×#556C2212yes—
39C2×#556C2212yes—
40C2×#556C2212yes—
41C2×#552C2212yes—
42C2×#552C2212yes—
43C2×#552C2212yescomplemented
44C2×#552C2212yescomplemented
45C2×#551C2214yes—
46C2×D4×Q8C2212yes—
47C2×#548C2212yes—
48C2×#546C2212yes—
49C2×#543C2212yes—
50C2×#542C2212yes—
51C2×#542C2214yes—
52C2×#541C2212yes—
53C2×#541C2212yescomplemented
54C2×#538C2212yes—
55C2×#536C2212yes—
56C2×#536C2212yes—
57C2×#533C2211yescharacteristic
58C2×#533C2211yescharacteristic
59C2×#533C2211yescharacteristic, complemented
60C2×#533C2211yescharacteristic, complemented
61C2×#533C2211yescharacteristic, complemented
62C22×C4⋊Q8C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C22×#124C2211yescharacteristic
65C2×#519C2212yescomplemented
66C2×C4×#41C2211yescharacteristic
67#2861C2212yes—
68#2861C2212yes—
69#2861C2214yescomplemented
70#2860C2214yescomplemented
71#2850C2212yes—
72#2850C2212yes—
73#2817C2212yes—
74#2816C2212yes—
75#2731C2214yescomplemented
76#2730C2214yescomplemented
77#2729C2214yescomplemented
78#2728C2214yescomplemented
79#2723C2214yescomplemented
80#2721C2214yescomplemented
81#2720C2214yescomplemented
82#2716C2214yescomplemented
83#2716C2214yescomplemented
84#2716C2214yescomplemented
85#2714C2214yes—
86#2713C2214yescomplemented
87#2711C2214yes—
88#2711C2214yescomplemented
89#2707C2214yes—
90#2705C2214yes—
91#2704C2214yescomplemented
92#2702C2214yescomplemented
93#2700C2214yes—
94#2698C2214yes—
95#2696C2214yescomplemented
96#2696C2214yescomplemented
97#2696C2214yescomplemented
98#2696C2214yescomplemented
99#2694C2214yescomplemented
100#2694C2214yescomplemented
101#2692C2214yescomplemented
102#2692C2214yescomplemented
103#2690C2214yescomplemented
104#2690C2214yescomplemented
105#2690C2214yescomplemented
106#2689C2214yes—
107#2687C2214yes—
108#2685C2214yes—
109#2685C2214yes—
110#2678C2214yes—
111#2677C2214yescomplemented
112#2674C2214yescomplemented
113#2673C2214yescomplemented
114#2670C2214yes—
115#2664C2214yescomplemented
116#2663C2214yes—
117#2662C2214yescomplemented
118#2640C2212yes—
119#2640C2212yes—
120#2634C2212yescomplemented
121#2632C2212yes—
122#2632C2212yescomplemented
123#2631C2212yes—
124#2628C2212yescomplemented
125#2628C2212yescomplemented
126#2611C2214yescomplemented
127#2610C2212yes—
128#2610C2212yes—
129#2610C2214yescomplemented
130#2604C2214yescomplemented
131#2604C2214yescomplemented
132#2603C2214yescomplemented
133#2602C2212yes—
134#2602C2212yes—
135#2601C2214yescomplemented
136#2601C2214yescomplemented
137#2601C2212yescomplemented
138#2601C2212yescomplemented
139#2592C2212yes—
140#2592C2212yes—
141#2592C2214yes—
142#2592C2212yes—
143#2592C2214yescomplemented
144#2584C2212yescomplemented
145#2566C2211yescharacteristic, complemented
146#2565C2211yescharacteristic, complemented
147#2562C2212yescomplemented
148#2562C2214yescomplemented
149#2561C2214yes—
150#2561C2212yes—
151#2561C2212yes—
152#2556C2214yescomplemented
153#2554C2214yescomplemented
154#2545C2211yescharacteristic, complemented
155#2544C2211yescharacteristic, complemented
156#2540C2212yes—
157#2519C2214yescomplemented
158#2500C2211yescharacteristic
159#2499C2211yescharacteristic
160#2492C2214yescomplemented
161#2492C2212yescomplemented
162#2491C2212yes—
163#2491C2214yescomplemented
164#2490C2212yes—
165#2490C2214yescomplemented
166#2489C2212yescomplemented
167#2489C2214yescomplemented
168#2485C2212yes—
169#2485C2212yes—
170#2482C2212yes—
171#2481C2214yescomplemented
172#2480C2214yes—
173#2480C2214yes—
174#2477C2214yescomplemented
175#2477C2214yescomplemented
176#2477C2214yescomplemented
177#2472C2214yes—
178#2471C2214yes—
179#2471C2214yescomplemented
180#2471C2214yescomplemented
181#2469C2214yescomplemented
182#2468C2214yes—
183#2466C2214yes—
184#2465C2214yescomplemented
185#2465C2214yescomplemented
186#2465C2214yescomplemented
187#2461C2214yescomplemented
188#2459C2214yes—
189#2458C2214yes—
190#2458C2214yescomplemented
191#2458C2214yescomplemented
192#2458C2214yescomplemented
193#2457C2214yes—
194#2454C2212yes—
195#2453C2212yescomplemented
196#2452C2212yes—
197#2451C2214yescomplemented
198#2451C2212yescomplemented
199#2448C2212yes—
200#2448C2212yes—
201#2448C2214yescomplemented
202#2446C2212yescomplemented
203#2446C2212yescomplemented
204#2443C2214yescomplemented
205#2439C2214yescomplemented
206#2436C2214yescomplemented
207#2432C2211yescharacteristic
208#2431C2211yescharacteristic
209#2429C2212yescomplemented
210#2429C2212yescomplemented
211#2426C2214yes—
212#2426C2212yes—
213#2426C2212yes—
214#2421C2214yescomplemented
215#2418C2214yes—
216#2417C2212yescomplemented
217#2416C2212yes—
218#2415C2212yescomplemented
219#2414C2212yes—
220#2414C2214yes—
221#2409C2211yescharacteristic
222#2409C2211yescharacteristic
223#2409C2212yescomplemented
224#2409C2212yescomplemented
225#2409C2214yescomplemented
226#2408C2211yescharacteristic
227#2408C2211yescharacteristic
228#2407C2212yes—
229#2407C2212yes—
230#2404C2212yes—
231#2392C2212yes—
232#2392C2212yes—
233#2363C2212yes—
234#2362C2212yescomplemented
235#2361C2212yes—
236#2360C2212yescomplemented
237#2341C2212yes—
238#2341C2212yes—
239Q8×C22⋊C4C2212yescomplemented
240Q8×C22⋊C4C2212yescomplemented
241#2336C2212yescomplemented
242#2336C2212yescomplemented
243#2332C2212yes—
244#2332C2212yes—
245#2331C2212yescomplemented
246#2327C2212yescomplemented
247#2324C2214yescomplemented
248#2323C2212yes—
249#2323C2212yes—
250#2323C2214yescomplemented
251#2321C2212yes—
252#2321C2212yes—
253#2310C2212yes—
254#2309C2212yes—
255C4×C4⋊Q8C2211yescharacteristic, complemented
256C4×#127C2211yescharacteristic, complemented
257C4×#124C2214yescomplemented
258C4×#124C2211yescharacteristic, complemented
259C4×#124C2211yescharacteristic, complemented
260#2298C2214yes—
261#2295C2212yescomplemented
262#2295C2214yescomplemented
263#2293C2214yescomplemented
264#2290C2212yescomplemented
265#2290C2212yescomplemented
266#2283C2211yescharacteristic
267C42×Q8C2212yescomplemented
268C4×#117C2211yescharacteristic
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C23×Q8C2311yescharacteristic
272C23×Q8C2312yes—
273C23×Q8C2312yes—
274C23×D4C2311yescharacteristic
275#563—216no—
276#562—216no—
277#557—216no—
278#557—216no—
279#556—216no—
280#556—216no—
281#556—216no—
282#552—216no—
283#552—216no—
284#552—216no—
285#552—216no—
286#551—232no—
287D4×Q8—216no—
288#548—216no—
289#546—216no—
290#543—216no—
291#542—216no—
292#542—232no—
293#541—216no—
294#541—216no—
295#538—216no—
296#536—216no—
297#536—216no—
298#533—28no—
299#533—28no—
300#533—28no—
301#533—28no—
302#533D4116yescomplemented
303C2×C4⋊Q8—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316#529—28no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2312yes—
335C2×#124—28no—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2311yescharacteristic
347C2×#124C2311yescharacteristic
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#120C2314yes—
385C2×#120C2312yes—
386C2×#120C2312yes—
387#519—216no—
388C4×#41—28no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2314yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2314yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×#117C2312yes—
422C2×#117C2314yes—
423C2×#117C2314yes—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2314yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2314yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2312yes—
496#395C2312yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2312yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#392C2312yes—
535#392C2312yes—
536#392C2314yes—
537#392C2312yes—
538#392C2312yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#391C2311yescharacteristic
545#391C2314yes—
546#391C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2314yes—
556#391C2312yes—
557#391C2312yes—
558#391C2314yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#391C2314yes—
563#391C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#383C2312yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2314yes—
717#381C2312yes—
718#381C2314yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2314yes—
731#380C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2312yes—
735#379C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C22⋊C4C2311yescharacteristic
750C4×C22⋊C4C2311yescharacteristic
751C4×C22⋊C4C2312yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2312yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2314yes—
763#376C2312yes—
764#376C2314yes—
765#376C2312yes—
766C43C2311yescharacteristic
767C43C2314yes—
768C43C2311yescharacteristic
769C25C2412yes—
770C2×#41—28no—
771C2×#41—24no—
772C2×#41—42no—
773C2×#41—42no—
774C2×#41—44no—
775C2×#41—44no—
776C22×Q8—28no—
777C22×Q8—28no—
778C22×Q8—24no—
779C22×Q8—44no—
780C22×Q8—44no—
781C22×Q8—44no—
782C22×Q8—44no—
783C22×Q8—44no—
784C22×Q8C2412yes—
785C22×Q8C2414yes—
786C22×Q8C2411yescharacteristic
787C22×Q8C2412yes—
788C22×Q8C2412yes—
789C22×Q8C2412yes—
790C22×Q8C2411yescharacteristic
791C22×Q8C2414yes—
792C22×Q8C2412yes—
793C22×Q8C2412yes—
794C22×D4—24no—
795C22×D4—44no—
796C22×D4C2412yes—
797C22×D4C2411yescharacteristic
798C22×D4C2411yescharacteristic
799C22×D4C2411yescharacteristic
800C22×D4C2412yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2411yescharacteristic
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2412yes—
813C23×C4C2414yes—
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2414yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C4⋊Q8—28no—
825C4⋊Q8—28no—
826C4⋊Q8—28no—
827C4⋊Q8—28no—
828C4⋊Q8—216no—
829C4⋊Q8—216no—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—42no—
833C4⋊Q8C2×D418yes—
834C4⋊Q8C2×D418yes—
835#127—42no—
836#126—216no—
837#126—216no—
838#126—216no—
839#126—216no—
840#126—216no—
841#126—28no—
842#126—216no—
843#126—216no—
844#125—28no—
845#125—28no—
846#125—28no—
847#125—216no—
848#125—216no—
849#125—216no—
850#125—24no—
851#125—28no—
852#125—216no—
853#125C2×D4116yes—
854#124—28no—
855#124—216no—
856#124—216no—
857#124—28no—
858#124—28no—
859#124—28no—
860#124—28no—
861#124—24no—
862#124—216no—
863#124—42no—
864#124—48no—
865#124—42no—
866#123—28no—
867#123—216no—
868#123—216no—
869#123—216no—
870#123—216no—
871#123—216no—
872#123—216no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—24no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—28no—
886C22⋊Q8—216no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—216no—
890C22⋊Q8—48no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8C2×D4116yes—
894C22⋊Q8C2×D4116yes—
895#121—24no—
896#121—216no—
897#121—28no—
898#121—216no—
899#121—44no—
900#121—44no—
901#121—48no—
902#120—216no—
903#120—44no—
904#120—44no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—216no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—28no—
916C4×Q8—216no—
917C4×Q8—24no—
918C4×Q8—28no—
919C4×Q8—44no—
920C4×Q8—44no—
921C4×Q8C2×D4116yes—
922C4×Q8C2×D4116yes—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—216no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—216no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—48no—
937#117—24no—
938#117—28no—
939#117—28no—
940#117—216no—
941#117—28no—
942#117—28no—
943#117—24no—
944#117—24no—
945#117—216no—
946#117—28no—
947#117—216no—
948#117—44no—
949#117C2×D4116yes—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C22⋊C4—28no—
1009C2×C22⋊C4—28no—
1010C2×C22⋊C4—216no—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C42—24no—
1073C2×C42—24no—
1074C2×C42C2×D418yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154C24—24no—
1155C24—44no—
1156C24—42no—
1157C24—42no—
1158C24—44no—
1159C24C2514yes—
1160C24C2511yescharacteristic
1161C24C2512yes—
1162C24C2511yescharacteristic
1163C24C2511yescharacteristic
1164#41—416no—
1165#41—816no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—28no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—28no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—28no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—41no—
1187C2×Q8—41no—
1188C2×Q8—41no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—432no—
1193C2×Q8—88no—
1194C2×Q8—816no—
1195C2×Q8C22×D418yes—
1196C2×Q8C22×D418yes—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—22no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—41no—
1223C2×D4—44no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—88no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—28no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4C22×D414yes—
1272C22×C4C22×D414yes—
1273C22×C4C22×D414yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4C22×D418yes—
1351C4⋊C4C22×D418yes—
1352C4⋊C4C22×D418yes—
1353C4⋊C4C22×D4116yes—
1354C4⋊C4C22×D418yes—
1355C4⋊C4C22×D4116yes—
1356C22⋊C4—24no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—28no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4C22×D4116yes—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—28no—
1424C42—28no—
1425C42—28no—
1426C42—24no—
1427C42—28no—
1428C42—28no—
1429C42—24no—
1430C42—24no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—41no—
1438C42—41no—
1439C42—44no—
1440C42—41no—
1441C42—41no—
1442C42C22×D414yes—
1443C42C22×D414yes—
1444C42C22×D414yes—
1445C42C22×D414yes—
1446C42C22×D4116yes—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—24no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—24no—
1468C23—21no—
1469C23—24no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23—48no—
1475C23—84no—
1476C23—84no—
1477C23—164no—
1478C23—164no—
1479C23C23×D412yes—
1480C23#58512yes—
1481C23C2611yescharacteristic
1482Q8—216no—
1483Q8—48no—
1484Q8—416no—
1485Q8—44no—
1486Q8—48no—
1487Q8—48no—
1488Q8—48no—
1489Q8—82no—
1490Q8—84no—
1491Q8—88no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—48no—
1496D4—48no—
1497D4—88no—
1498D4—82no—
1499D4—84no—
1500D4—88no—
1501D4—88no—
1502D4—84no—
1503D4—84no—
1504D4—164no—
1505C2×C4—28no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—28no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—416no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—84no—
1580C2×C4C23×D412yes—
1581C2×C4C23×D412yes—
1582C2×C4C23×D412yes—
1583C2×C4C23×D418yes—
1584C2×C4C23×D418yes—
1585C2×C4C23×D412yes—
1586C2×C4C23×D412yes—
1587C2×C4C23×D412yes—
1588C2×C4#58512yes—
1589C2×C4#58514yes—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—24no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—44no—
1603C22—41no—
1604C22—44no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—44no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—168no—
1620C22C24×D411yescharacteristic
1621C22C2×#58512yes—
1622C22C2×#58511yescharacteristic
1623C22C2×#58511yescharacteristic
1624C222−1+612yes—
1625C4—22no—
1626C4—28no—
1627C4—22no—
1628C4—22no—
1629C4—28no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—44no—
1637C4—41no—
1638C4—44no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4#350014yes—
1651C2—42no—
1652C2—42no—
1653C2—82no—
1654C2—81no—
1655C2—84no—
1656C2C2×#350011yescharacteristic
1657C2#6281111yescharacteristic
1658C2#6284811yescharacteristic
1659C2#6294012yes—
1660C2#6296812yes—
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×#3509C2semidirect
2. C2×#3561C2semidirect
3. #51210C2semidirect
4. #51070C2semidirect
5. #50899C2semidirect
6. #50696C2semidirect
7. #47215C2semidirect
8. #46815C2semidirect
9. #46430C2semidirect
10. #46357C2semidirect
11. #45416C2semidirect
12. #45404C2semidirect
13. #45291C2semidirect
14. #45023C2semidirect
15. #39951C2semidirect
16. #39950C2semidirect
17. #39947C2semidirect
18. #38438C2semidirect
19. #37749C2semidirect
20. #37749C2semidirect
21. #37711C2semidirect
22. #37704C2semidirect
23. #37560C2semidirect
24. #37193C2semidirect
25. #36467C2semidirect
26. #36268C2semidirect
27. #35675C2semidirect
28. #35338C2semidirect
29. #35129C2semidirect
30. #34910C2semidirect
31. #34085C2semidirect
36. C2×#557C22semidirect
37. C2×#557C22semidirect
43. C2×#552C22semidirect
44. C2×#552C22semidirect
53. C2×#541C22semidirect
59. C2×#533C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
62. C22×C4⋊Q8C22semidirect
65. C2×#519C22semidirect
69. #2861C22semidirect
70. #2860C22semidirect
75. #2731C22semidirect
76. #2730C22semidirect
77. #2729C22semidirect
78. #2728C22semidirect
79. #2723C22semidirect
80. #2721C22semidirect
81. #2720C22semidirect
82. #2716C22semidirect
83. #2716C22semidirect
84. #2716C22semidirect
86. #2713C22semidirect
88. #2711C22semidirect
91. #2704C22semidirect
92. #2702C22semidirect
95. #2696C22semidirect
96. #2696C22semidirect
97. #2696C22semidirect
98. #2696C22semidirect
99. #2694C22semidirect
100. #2694C22semidirect
101. #2692C22semidirect
102. #2692C22semidirect
103. #2690C22semidirect
104. #2690C22semidirect
105. #2690C22semidirect
111. #2677C22semidirect
112. #2674C22semidirect
113. #2673C22semidirect
115. #2664C22semidirect
117. #2662C22semidirect
120. #2634C22semidirect
122. #2632C22semidirect
124. #2628C22semidirect
125. #2628C22semidirect
126. #2611C22semidirect
129. #2610C22semidirect
130. #2604C22semidirect
131. #2604C22semidirect
132. #2603C22semidirect
135. #2601C22semidirect
136. #2601C22semidirect
137. #2601C22semidirect
138. #2601C22semidirect
143. #2592C22semidirect
144. #2584C22semidirect
145. #2566C22semidirect
146. #2565C22semidirect
147. #2562C22semidirect
148. #2562C22semidirect
152. #2556C22semidirect
153. #2554C22semidirect
154. #2545C22semidirect
155. #2544C22semidirect
157. #2519C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
163. #2491C22semidirect
165. #2490C22semidirect
166. #2489C22semidirect
167. #2489C22semidirect
171. #2481C22semidirect
174. #2477C22semidirect
175. #2477C22semidirect
176. #2477C22semidirect
179. #2471C22semidirect
180. #2471C22semidirect
181. #2469C22semidirect
184. #2465C22semidirect
185. #2465C22semidirect
186. #2465C22semidirect
187. #2461C22semidirect
190. #2458C22semidirect
191. #2458C22semidirect
192. #2458C22semidirect
195. #2453C22semidirect
197. #2451C22semidirect
198. #2451C22semidirect
201. #2448C22semidirect
202. #2446C22semidirect
203. #2446C22semidirect
204. #2443C22semidirect
205. #2439C22semidirect
206. #2436C22semidirect
209. #2429C22semidirect
210. #2429C22semidirect
214. #2421C22semidirect
216. #2417C22semidirect
218. #2415C22semidirect
223. #2409C22semidirect
224. #2409C22semidirect
225. #2409C22semidirect
234. #2362C22semidirect
236. #2360C22semidirect
239. Q8×C22⋊C4C22semidirect
240. Q8×C22⋊C4C22semidirect
241. #2336C22semidirect
242. #2336C22semidirect
245. #2331C22semidirect
246. #2327C22semidirect
247. #2324C22semidirect
250. #2323C22semidirect
255. C4×C4⋊Q8C22semidirect
256. C4×#127C22semidirect
257. C4×#124C22semidirect
258. C4×#124C22semidirect
259. C4×#124C22semidirect
261. #2295C22semidirect
262. #2295C22semidirect
263. #2293C22semidirect
264. #2290C22semidirect
265. #2290C22semidirect
267. C42×Q8C22semidirect
302. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#35612
#512102
#510702
#508992
#506962
#472152
#468152
#464302
#463572
#454162
#454042
#452912
#450232
#399512
#399502
#399472
#384382
#377492
#377112
#377042
#375602
#371932
#364672
#362682
#356752
#353382
#351292
#349102
#340852