Finite Group Databasebeta

← #7712477

Subgroups — #7712477

Order 512.

6992 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3551C211yesmaximal, characteristic, complemented
2C2×#3444C211yesmaximal, characteristic, complemented
3#59158C214yesmaximal, complemented
4#59156C214yesmaximal, complemented
5#46277C214yesmaximal, complemented
6#46276C214yesmaximal, complemented
7#38915C212yesmaximal, complemented
8#38914C212yesmaximal, complemented
9#38903C212yesmaximal, complemented
10#38902C212yesmaximal, complemented
11#37802C214yesmaximal, complemented
12#37800C214yesmaximal, complemented
13#37742C214yesmaximal, complemented
14#37740C214yesmaximal, complemented
15#37551C212yesmaximal, complemented
16#37374C211yesmaximal, characteristic, complemented
17#37269C211yesmaximal, characteristic, complemented
18#37268C212yesmaximal, complemented
19#36621C212yesmaximal, complemented
20#36375C212yesmaximal, complemented
21#36374C212yesmaximal, complemented
22#36361C212yesmaximal, complemented
23#36360C212yesmaximal, complemented
24#35307C211yesmaximal, characteristic, complemented
25#35255C212yesmaximal, complemented
26#35254C211yesmaximal, characteristic, complemented
27#34369C211yesmaximal, characteristic, complemented
28#3551—216no—
29C2×#563C2212yescomplemented
30C2×#560C2212yescomplemented
31C2×#555C2212yescomplemented
32C2×#553C2212yescomplemented
33C2×#552C2212yescomplemented
34C2×#551C2212yescomplemented
35C2×#548C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×#540C2214yes—
38C2×#538C2214yes—
39C2×#537C2212yes—
40C2×#536C2211yescharacteristic
41C2×#535C2211yescharacteristic
42#3444—216no—
43C2×#533C2211yescharacteristic, complemented
44C2×#533C2212yescomplemented
45C2×#532C2212yes—
46C2×#532C2211yescharacteristic
47C2×#529C2212yes—
48C2×#529C2212yes—
49C2×#529C2212yes—
50C2×#529C2212yes—
51C2×#529C2212yescomplemented
52C2×#529C2212yescomplemented
53C2×#529C2212yescomplemented
54C2×#525C2211yescharacteristic
55C2×#525C2212yes—
56C2×#525C2211yescharacteristic, complemented
57C2×#525C2212yescomplemented
58C2×C4×#41C2212yes—
59C2×C4×#41C2211yescharacteristic
60C2×C4×#41C2212yescomplemented
61C2×C4×#41C2211yescharacteristic, complemented
62C23×C42C2211yescharacteristic, complemented
63#2855C2212yescomplemented
64#2855C2212yescomplemented
65#2855C2212yescomplemented
66#2854C2212yes—
67#2854C2212yescomplemented
68#2854C2212yescomplemented
69#2853C2214yescomplemented
70#2852C2214yescomplemented
71#2852C2214yescomplemented
72#2851C2212yescomplemented
73#2851C2212yescomplemented
74#2850C2212yes—
75#2850C2212yes—
76#2849C2214yescomplemented
77#2848C2212yescomplemented
78#2847C2212yes—
79#2821C2214yescomplemented
80#2821C2214yescomplemented
81#2732C2214yescomplemented
82#2730C2214yes—
83#2729C2214yescomplemented
84#2728C2214yescomplemented
85#2724C2212yescomplemented
86#2723C2214yescomplemented
87#2721C2214yescomplemented
88#2720C2214yescomplemented
89#2719C2214yescomplemented
90#2717C2212yes—
91#2717C2214yescomplemented
92#2709C2212yes—
93#2708C2214yes—
94#2708C2214yes—
95#2708C2214yescomplemented
96#2701C2214yescomplemented
97#2697C2212yes—
98#2697C2212yescomplemented
99#2696C2214yes—
100#2694C2214yescomplemented
101#2692C2214yescomplemented
102#2690C2214yescomplemented
103#2688C2214yescomplemented
104#2688C2214yescomplemented
105#2686C2214yescomplemented
106#2686C2214yescomplemented
107#2684C2212yes—
108#2684C2214yescomplemented
109#2679C2212yes—
110#2678C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2669C2212yes—
114#2668C2214yes—
115#2668C2214yes—
116#2668C2214yescomplemented
117#2663C2214yescomplemented
118#2663C2214yescomplemented
119#2638C2214yescomplemented
120#2638C2214yescomplemented
121#2625C2212yescomplemented
122#2625C2212yescomplemented
123#2625C2212yescomplemented
124#2625C2212yescomplemented
125#2624C2212yes—
126#2624C2212yes—
127#2624C2212yescomplemented
128#2624C2212yescomplemented
129#2611C2214yescomplemented
130#2611C2214yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2584C2212yescomplemented
134#2584C2212yescomplemented
135#2581C2212yescomplemented
136#2581C2212yescomplemented
137#2580C2212yescomplemented
138#2580C2212yescomplemented
139#2559C2214yescomplemented
140#2557C2214yescomplemented
141#2553C2214yes—
142#2553C2214yescomplemented
143#2521C2214yescomplemented
144#2496C2214yescomplemented
145#2487C2212yescomplemented
146#2486C2212yescomplemented
147#2485C2212yes—
148#2485C2212yescomplemented
149#2480C2214yescomplemented
150#2479C2214yescomplemented
151#2478C2214yescomplemented
152#2478C2214yescomplemented
153#2477C2214yescomplemented
154#2476C2214yescomplemented
155#2475C2214yescomplemented
156#2474C2214yescomplemented
157#2471C2214yes—
158#2470C2214yescomplemented
159#2470C2214yescomplemented
160#2469C2214yescomplemented
161#2468C2214yescomplemented
162#2466C2214yes—
163#2466C2214yescomplemented
164#2465C2214yescomplemented
165#2464C2214yes—
166#2462C2214yescomplemented
167#2459C2214yescomplemented
168#2458C2214yescomplemented
169#2457C2214yescomplemented
170#2456C2214yes—
171#2455C2214yescomplemented
172#2455C2214yescomplemented
173#2448C2214yescomplemented
174#2447C2214yes—
175#2446C2214yescomplemented
176#2445C2214yes—
177#2444C2214yescomplemented
178#2444C2214yescomplemented
179#2444C2214yescomplemented
180#2443C2214yescomplemented
181#2443C2214yescomplemented
182#2443C2214yescomplemented
183#2430C2214yescomplemented
184#2430C2214yescomplemented
185#2423C2214yescomplemented
186#2422C2214yescomplemented
187#2422C2214yescomplemented
188#2421C2214yescomplemented
189#2420C2214yescomplemented
190#2419C2214yescomplemented
191#2419C2214yescomplemented
192#2419C2214yescomplemented
193#2418C2214yes—
194#2418C2214yes—
195#2418C2214yescomplemented
196#2418C2214yescomplemented
197#2417C2212yes—
198#2417C2212yescomplemented
199#2416C2212yes—
200#2416C2212yes—
201#2415C2212yes—
202#2415C2212yescomplemented
203#2414C2212yes—
204#2414C2212yes—
205#2409C2212yescomplemented
206#2408C2212yes—
207#2407C2212yes—
208#2407C2212yes—
209#2406C2214yes—
210#2404C2214yes—
211#2381C2212yescomplemented
212#2380C2212yescomplemented
213#2372C2212yescomplemented
214#2372C2212yescomplemented
215#2364C2214yescomplemented
216#2361C2214yescomplemented
217#2359C2214yescomplemented
218#2359C2214yescomplemented
219#2359C2214yescomplemented
220#2358C2214yes—
221#2352C2212yescomplemented
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224#2352C2212yescomplemented
225#2344C2214yescomplemented
226#2342C2214yescomplemented
227#2333C2214yes—
228#2333C2214yescomplemented
229#2317C2212yescomplemented
230#2316C2211yescharacteristic, complemented
231#2316C2211yescharacteristic, complemented
232#2311C2211yescharacteristic
233#2311C2211yescharacteristic
234#2311C2212yescomplemented
235#2311C2212yescomplemented
236#2310C2211yescharacteristic, complemented
237#2309C2211yescharacteristic, complemented
238C4×C22⋊Q8C2212yescomplemented
239C4×C22⋊Q8C2212yescomplemented
240C4×#123C2214yescomplemented
241C4×#121C2212yes—
242C4×#121C2212yes—
243C4×#120C2214yescomplemented
244#2297C2212yescomplemented
245#2296C2211yescharacteristic, complemented
246#2296C2211yescharacteristic, complemented
247C2×#391C2211yescharacteristic, complemented
248C2×#390C2211yescharacteristic, complemented
249C2×#389C2212yescomplemented
250#2290C2214yescomplemented
251#2290C2214yescomplemented
252#2283C2212yescomplemented
253C22×#41C2312yes—
254C22×#41C2312yes—
255C22×#41C2312yes—
256C22×#41C2311yescharacteristic
257C22×#41C2311yescharacteristic
258C23×Q8C2311yescharacteristic
259C23×D4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2312yes—
262#563—216no—
263#560—216no—
264#555—216no—
265#553—216no—
266#552—216no—
267#551—216no—
268#548—216no—
269#546—216no—
270#540—232no—
271#538—232no—
272#537—216no—
273#536—28no—
274#535—28no—
275#533—216no—
276#533—28no—
277#532—216no—
278#532D4116yescomplemented
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2311yescharacteristic
284#529—216no—
285#529—216no—
286#529—216no—
287#529—216no—
288#529—216no—
289#529—216no—
290#529—216no—
291C2×#126C2314yes—
292C2×#126C2312yes—
293C2×#126C2312yes—
294C2×#126C2312yes—
295C2×#126C2312yes—
296C2×#126C2314yes—
297C2×#126C2314yes—
298C2×#125C2312yes—
299C2×#125C2312yes—
300C2×#125C2312yes—
301C2×#125C2312yes—
302C2×#125C2314yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2312yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2314yes—
309C2×#124C2311yescharacteristic
310C2×#124C2311yescharacteristic
311#525—28no—
312#525—28no—
313#525—216no—
314#525—216no—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2311yescharacteristic
319C2×#123C2311yescharacteristic
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#120C2314yes—
365C2×#120C2311yescharacteristic
366C2×#120C2312yes—
367C2×#120C2311yescharacteristic
368C2×#120C2312yes—
369C2×#120C2312yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C4×#41—28no—
373C4×#41—28no—
374C4×#41—216no—
375C4×#41—216no—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C42—28no—
433C22×C42C2312yes—
434C22×C42C2312yes—
435C22×C42C2312yes—
436C22×C42C2312yes—
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2312yes—
440C22×C42C2311yescharacteristic
441C22×C42C2312yes—
442C22×C42C2311yescharacteristic
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#399C2314yes—
457#398C2314yes—
458#398C2314yes—
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#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
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#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#386C2312yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
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#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
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#385C2314yes—
674#385C2314yes—
675#384C2314yes—
676#383C2314yes—
677#382C2314yes—
678#382C2312yes—
679#382C2312yes—
680#381C2314yes—
681#381C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2314yes—
685#381C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722#376C2314yes—
723C2×#95C2314yes—
724C2×#95C2314yes—
725C25C2411yescharacteristic
726C25C2412yes—
727C2×#41—28no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—42no—
731C2×#41—42no—
732C2×#41—42no—
733C2×#41—42no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41C2×D418yes—
741C2×#41C2×D418yes—
742C22×Q8—24no—
743C22×Q8—42no—
744C22×Q8—42no—
745C22×Q8C2412yes—
746C22×Q8C2412yes—
747C22×Q8C2412yes—
748C22×Q8C2412yes—
749C22×Q8C2411yescharacteristic
750C22×Q8C2411yescharacteristic
751C22×D4—24no—
752C22×D4—42no—
753C22×D4—42no—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C22×D4C2411yescharacteristic
772C22×D4C2412yes—
773C23×C4—28no—
774C23×C4—24no—
775C23×C4—44no—
776C23×C4—42no—
777C23×C4—42no—
778C23×C4—44no—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C4⋊Q8—28no—
804C4⋊Q8—28no—
805C4⋊Q8C2×D418yes—
806#127—28no—
807#127C2×D418yes—
808#126—216no—
809#126—28no—
810#126—28no—
811#126—28no—
812#126—28no—
813#126—216no—
814#126—216no—
815#125—28no—
816#125—28no—
817#125—216no—
818#125—28no—
819#125—28no—
820#124—28no—
821#124—28no—
822#124—28no—
823#124—28no—
824#124—216no—
825#124—28no—
826#124C2×D418yes—
827#124C2×D418yes—
828#123—24no—
829#123—28no—
830#123—24no—
831#123—28no—
832#123—28no—
833#123—216no—
834#123—216no—
835#123—216no—
836#123—28no—
837#123—28no—
838#123—28no—
839#123—28no—
840#123—216no—
841#123—48no—
842#123—48no—
843#123—48no—
844#123—48no—
845C22⋊Q8—28no—
846C22⋊Q8—28no—
847C22⋊Q8—216no—
848C22⋊Q8—28no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—216no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858#121—28no—
859#121—28no—
860#121—28no—
861#121—28no—
862#121—216no—
863#121—216no—
864#121—216no—
865#121—216no—
866#121—216no—
867#121—28no—
868#121—28no—
869#121—28no—
870#121—216no—
871#121—48no—
872#121—48no—
873#121—44no—
874#121—44no—
875#121C2×D4116yes—
876#121C2×D4116yes—
877#120—24no—
878#120—28no—
879#120—24no—
880#120—28no—
881#120—28no—
882#120—216no—
883#120—48no—
884#120—48no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—216no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—216no—
910C4×D4—216no—
911C4×D4—28no—
912C4×D4—48no—
913C4×D4—48no—
914C4×D4C2×D4116yes—
915C4×D4C2×D4116yes—
916#117—24no—
917#117—24no—
918#117—28no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—28no—
924#117—28no—
925#117—28no—
926#117—28no—
927#117—28no—
928#117—28no—
929#117—216no—
930#117—216no—
931#117—42no—
932#117—44no—
933#117—42no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C22⋊C4—216no—
988C2×C22⋊C4—48no—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—28no—
1049C2×C42—24no—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—28no—
1053C2×C42—28no—
1054C2×C42—28no—
1055C2×C42—28no—
1056C2×C42—28no—
1057C2×C42C2×D418yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123C24—22no—
1124C24—24no—
1125C24—24no—
1126C24—42no—
1127C24—41no—
1128C24—41no—
1129C24—42no—
1130C24—44no—
1131C24—44no—
1132C24—42no—
1133C24C2514yes—
1134C24C2511yescharacteristic
1135C24C2511yescharacteristic
1136C24C2511yescharacteristic
1137C24C2512yes—
1138C24C2512yes—
1139#41—416no—
1140#41—416no—
1141#41—432no—
1142#41—432no—
1143#41—816no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—41no—
1151C2×Q8—41no—
1152C2×Q8—41no—
1153C2×Q8—41no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—88no—
1161C2×Q8C22×D414yes—
1162C2×Q8C22×D414yes—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—42no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—88no—
1214C2×D4C22×D414yes—
1215C2×D4C22×D414yes—
1216C2×D4C22×D418yes—
1217C2×D4C22×D414yes—
1218C2×D4C22×D414yes—
1219C2×D4C22×D418yes—
1220C2×D4C22×D418yes—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—432no—
1287C22×C4—416no—
1288C22×C4C22×D414yes—
1289C22×C4C22×D418yes—
1290C22×C4C22×D414yes—
1291C22×C4C22×D414yes—
1292C22×C4C22×D418yes—
1293C22×C4C2514yes—
1294C22×C4C2514yes—
1295C22×C4C2514yes—
1296C22×C4C2514yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C22×D418yes—
1361C4⋊C4C22×D418yes—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
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—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4C22×D418yes—
1418C22⋊C4C22×D418yes—
1419C22⋊C4C22×D418yes—
1420C22⋊C4C22×D418yes—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—28no—
1437C42—24no—
1438C42—44no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42C22×D414yes—
1444C42C22×D418yes—
1445C42C22×D414yes—
1446C23—22no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—24no—
1474C23—24no—
1475C23—24no—
1476C23—24no—
1477C23—48no—
1478C23—44no—
1479C23—44no—
1480C23—48no—
1481C23—44no—
1482C23—84no—
1483C23—88no—
1484C23—88no—
1485C23—162no—
1486C23—162no—
1487C23C23×D412yes—
1488C23C23×D412yes—
1489C23C23×D412yes—
1490C23C23×D414yes—
1491C23#58514yes—
1492C23C2611yescharacteristic
1493Q8—44no—
1494Q8—44no—
1495Q8—48no—
1496Q8—48no—
1497Q8—48no—
1498Q8—84no—
1499D4—44no—
1500D4—44no—
1501D4—48no—
1502D4—44no—
1503D4—44no—
1504D4—48no—
1505D4—48no—
1506D4—48no—
1507D4—48no—
1508D4—48no—
1509D4—48no—
1510D4—48no—
1511D4—84no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518C2×C4—216no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—28no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—216no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—48no—
1577C2×C4—48no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—48no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—162no—
1594C2×C4—162no—
1595C2×C4C23×D414yes—
1596C2×C4C23×D412yes—
1597C2×C4C23×D412yes—
1598C2×C4C23×D412yes—
1599C2×C4C23×D414yes—
1600C2×C4C23×D414yes—
1601C2×C4C23×D412yes—
1602C2×C4#58514yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C22—24no—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—22no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—416no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—44no—
1636C22—44no—
1637C22—44no—
1638C22—44no—
1639C22—44no—
1640C22—44no—
1641C22—44no—
1642C22—168no—
1643C22C24×D411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58512yes—
1646C22C2×#58512yes—
1647C22C2×#58511yescharacteristic
1648C4—22no—
1649C4—24no—
1650C4—22no—
1651C4—22no—
1652C4—24no—
1653C4—24no—
1654C4—24no—
1655C4—44no—
1656C4—44no—
1657C4—42no—
1658C4—44no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—44no—
1665C4—44no—
1666C4—44no—
1667C4—44no—
1668C4#348514yes—
1669C2—42no—
1670C2—44no—
1671C2—44no—
1672C2—42no—
1673C2—42no—
1674C2—84no—
1675C2#6274312yes—
1676C2C2×#348511yescharacteristic
1677C2#6281112yes—
1678C2#6282911yescharacteristic
1679C2#6283911yescharacteristic
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×#3551C2semidirect
2. C2×#3444C2semidirect
3. #59158C2semidirect
4. #59156C2semidirect
5. #46277C2semidirect
6. #46276C2semidirect
7. #38915C2semidirect
8. #38914C2semidirect
9. #38903C2semidirect
10. #38902C2semidirect
11. #37802C2semidirect
12. #37800C2semidirect
13. #37742C2semidirect
14. #37740C2semidirect
15. #37551C2semidirect
16. #37374C2semidirect
17. #37269C2semidirect
18. #37268C2semidirect
19. #36621C2semidirect
20. #36375C2semidirect
21. #36374C2semidirect
22. #36361C2semidirect
23. #36360C2semidirect
24. #35307C2semidirect
25. #35255C2semidirect
26. #35254C2semidirect
27. #34369C2semidirect
29. C2×#563C22semidirect
30. C2×#560C22semidirect
31. C2×#555C22semidirect
32. C2×#553C22semidirect
33. C2×#552C22semidirect
34. C2×#551C22semidirect
35. C2×#548C22semidirect
36. C2×#546C22semidirect
43. C2×#533C22semidirect
44. C2×#533C22semidirect
51. C2×#529C22semidirect
52. C2×#529C22semidirect
53. C2×#529C22semidirect
56. C2×#525C22semidirect
57. C2×#525C22semidirect
60. C2×C4×#41C22semidirect
61. C2×C4×#41C22semidirect
62. C23×C42C22semidirect
63. #2855C22semidirect
64. #2855C22semidirect
65. #2855C22semidirect
67. #2854C22semidirect
68. #2854C22semidirect
69. #2853C22semidirect
70. #2852C22semidirect
71. #2852C22semidirect
72. #2851C22semidirect
73. #2851C22semidirect
76. #2849C22semidirect
77. #2848C22semidirect
79. #2821C22semidirect
80. #2821C22semidirect
81. #2732C22semidirect
83. #2729C22semidirect
84. #2728C22semidirect
85. #2724C22semidirect
86. #2723C22semidirect
87. #2721C22semidirect
88. #2720C22semidirect
89. #2719C22semidirect
91. #2717C22semidirect
95. #2708C22semidirect
96. #2701C22semidirect
98. #2697C22semidirect
100. #2694C22semidirect
101. #2692C22semidirect
102. #2690C22semidirect
103. #2688C22semidirect
104. #2688C22semidirect
105. #2686C22semidirect
106. #2686C22semidirect
108. #2684C22semidirect
110. #2678C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
116. #2668C22semidirect
117. #2663C22semidirect
118. #2663C22semidirect
119. #2638C22semidirect
120. #2638C22semidirect
121. #2625C22semidirect
122. #2625C22semidirect
123. #2625C22semidirect
124. #2625C22semidirect
127. #2624C22semidirect
128. #2624C22semidirect
129. #2611C22semidirect
130. #2611C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2584C22semidirect
134. #2584C22semidirect
135. #2581C22semidirect
136. #2581C22semidirect
137. #2580C22semidirect
138. #2580C22semidirect
139. #2559C22semidirect
140. #2557C22semidirect
142. #2553C22semidirect
143. #2521C22semidirect
144. #2496C22semidirect
145. #2487C22semidirect
146. #2486C22semidirect
148. #2485C22semidirect
149. #2480C22semidirect
150. #2479C22semidirect
151. #2478C22semidirect
152. #2478C22semidirect
153. #2477C22semidirect
154. #2476C22semidirect
155. #2475C22semidirect
156. #2474C22semidirect
158. #2470C22semidirect
159. #2470C22semidirect
160. #2469C22semidirect
161. #2468C22semidirect
163. #2466C22semidirect
164. #2465C22semidirect
166. #2462C22semidirect
167. #2459C22semidirect
168. #2458C22semidirect
169. #2457C22semidirect
171. #2455C22semidirect
172. #2455C22semidirect
173. #2448C22semidirect
175. #2446C22semidirect
177. #2444C22semidirect
178. #2444C22semidirect
179. #2444C22semidirect
180. #2443C22semidirect
181. #2443C22semidirect
182. #2443C22semidirect
183. #2430C22semidirect
184. #2430C22semidirect
185. #2423C22semidirect
186. #2422C22semidirect
187. #2422C22semidirect
188. #2421C22semidirect
189. #2420C22semidirect
190. #2419C22semidirect
191. #2419C22semidirect
192. #2419C22semidirect
195. #2418C22semidirect
196. #2418C22semidirect
198. #2417C22semidirect
202. #2415C22semidirect
205. #2409C22semidirect
211. #2381C22semidirect
212. #2380C22semidirect
213. #2372C22semidirect
214. #2372C22semidirect
215. #2364C22semidirect
216. #2361C22semidirect
217. #2359C22semidirect
218. #2359C22semidirect
219. #2359C22semidirect
221. #2352C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. #2352C22semidirect
225. #2344C22semidirect
226. #2342C22semidirect
228. #2333C22semidirect
229. #2317C22semidirect
230. #2316C22semidirect
231. #2316C22semidirect
234. #2311C22semidirect
235. #2311C22semidirect
236. #2310C22semidirect
237. #2309C22semidirect
238. C4×C22⋊Q8C22semidirect
239. C4×C22⋊Q8C22semidirect
240. C4×#123C22semidirect
243. C4×#120C22semidirect
244. #2297C22semidirect
245. #2296C22semidirect
246. #2296C22semidirect
247. C2×#391C22semidirect
248. C2×#390C22semidirect
249. C2×#389C22semidirect
250. #2290C22semidirect
251. #2290C22semidirect
252. #2283C22semidirect
278. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35512
C2×#34442
#591582
#591562
#462772
#462762
#389152
#389142
#389032
#389022
#378022
#378002
#377422
#377402
#375512
#373742
#372692
#372682
#366212
#363752
#363742
#363612
#363602
#353072
#352552
#352542
#343692