Finite Group Databasebeta

← #7674074

Subgroups — #7674074

Order 512.

7144 conjugacy classes of subgroups.

The subgroup lattice has 1705 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3514C211yesmaximal, characteristic, complemented
3#45385C212yesmaximal, complemented
4#45353C212yesmaximal, complemented
5#45338C211yesmaximal, characteristic, complemented
6#45337C211yesmaximal, characteristic, complemented
7#45141C211yesmaximal, characteristic, complemented
8#45140C211yesmaximal, characteristic, complemented
9#45138C211yesmaximal, characteristic, complemented
10#45137C211yesmaximal, characteristic, complemented
11#45134C212yesmaximal, complemented
12#44934C211yesmaximal, characteristic, complemented
13#44932C211yesmaximal, characteristic, complemented
14#44928C212yesmaximal, complemented
15#39956C214yesmaximal, complemented
16#39941C214yesmaximal, complemented
17#38428C214yesmaximal, complemented
18#38422C214yesmaximal, complemented
19#37830C214yesmaximal, complemented
20#37820C214yesmaximal, complemented
21#37740C214yesmaximal, complemented
22#37718C214yesmaximal, complemented
23#35611C212yesmaximal, complemented
24#35606C212yesmaximal, complemented
25#35245C211yesmaximal, characteristic, complemented
26#35210C211yesmaximal, characteristic, complemented
27#35170C212yesmaximal, complemented
28#34643C211yesmaximal, characteristic, complemented
29#34309C212yesmaximal, complemented
30C4×#536C211yesmaximal, characteristic, complemented
31#34086C211yesmaximal, characteristic, complemented
32#3522—216no—
33#3514—216no—
34C2×#559C2211yescharacteristic
35C2×#559C2211yescharacteristic
36C2×#559C2212yescomplemented
37C2×Q82C2211yescharacteristic, complemented
38C2×#556C2211yescharacteristic
39C2×#555C2212yes—
40C2×#554C2212yescomplemented
41C2×#554C2211yescharacteristic, complemented
42C2×#551C2214yes—
43C2×#550C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×#548C2212yes—
46C2×#548C2212yescomplemented
47C2×#547C2214yescomplemented
48C2×#547C2212yescomplemented
49C2×#546C2212yes—
50C2×#546C2212yes—
51C2×#546C2212yes—
52C2×D42C2211yescharacteristic
53C2×#542C2212yes—
54C2×#542C2212yescomplemented
55C2×#542C2214yescomplemented
56C2×#538C2214yes—
57C2×#536C2211yescharacteristic
58C2×#532C2211yescharacteristic
59C2×#532C2212yescomplemented
60C2×#529C2211yescharacteristic
61C2×#529C2212yes—
62C2×#529C2211yescharacteristic, complemented
63C2×#529C2212yescomplemented
64C22×#124C2212yes—
65C2×#520C2212yescomplemented
66C2×#518C2212yes—
67C2×C4×#41C2211yescharacteristic
68C22×C4×Q8C2211yescharacteristic, complemented
69#2857C2214yescomplemented
70#2854C2214yescomplemented
71#2853C2214yescomplemented
72#2852C2214yescomplemented
73#2731C2214yes—
74#2730C2214yes—
75#2729C2214yescomplemented
76#2728C2214yescomplemented
77#2721C2214yescomplemented
78#2717C2214yescomplemented
79#2717C2214yescomplemented
80#2717C2214yescomplemented
81#2716C2214yescomplemented
82#2712C2214yescomplemented
83#2709C2214yescomplemented
84#2708C2214yes—
85#2708C2214yescomplemented
86#2701C2214yescomplemented
87#2700C2214yescomplemented
88#2699C2214yescomplemented
89#2697C2214yescomplemented
90#2693C2214yescomplemented
91#2690C2214yescomplemented
92#2687C2214yescomplemented
93#2686C2214yescomplemented
94#2686C2214yescomplemented
95#2684C2214yes—
96#2680C2214yescomplemented
97#2678C2214yescomplemented
98#2677C2214yescomplemented
99#2674C2214yescomplemented
100#2672C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yes—
103#2671C2214yescomplemented
104#2669C2214yes—
105#2664C2212yescomplemented
106#2664C2212yescomplemented
107#2663C2214yescomplemented
108#2663C2212yescomplemented
109#2663C2214yescomplemented
110#2663C2212yescomplemented
111#2662C2212yes—
112#2662C2212yescomplemented
113#2661C2212yes—
114#2661C2212yescomplemented
115#2638C2212yescomplemented
116#2635C2212yescomplemented
117#2634C2212yescomplemented
118#2632C2212yes—
119#2611C2212yescomplemented
120#2610C2212yescomplemented
121#2604C2214yescomplemented
122#2602C2214yescomplemented
123#2602C2214yescomplemented
124#2602C2214yescomplemented
125#2591C2212yes—
126#2583C2212yescomplemented
127#2583C2214yescomplemented
128#2581C2211yescharacteristic, complemented
129#2581C2211yescharacteristic, complemented
130#2581C2211yescharacteristic, complemented
131#2580C2211yescharacteristic
132#2561C2214yescomplemented
133#2551C2212yescomplemented
134#2547C2212yescomplemented
135#2542C2212yescomplemented
136#2537C2212yes—
137#2536C2211yescharacteristic
138#2536C2211yescharacteristic
139#2536C2211yescharacteristic, complemented
140#2535C2211yescharacteristic
141#2521C2214yescomplemented
142#2521C2214yescomplemented
143#2496C2214yescomplemented
144#2492C2212yescomplemented
145#2492C2212yescomplemented
146#2491C2214yescomplemented
147#2487C2212yescomplemented
148#2485C2212yescomplemented
149#2480C2214yescomplemented
150#2478C2214yescomplemented
151#2474C2214yescomplemented
152#2474C2214yescomplemented
153#2472C2214yescomplemented
154#2472C2214yescomplemented
155#2470C2214yescomplemented
156#2469C2214yescomplemented
157#2468C2214yescomplemented
158#2467C2214yescomplemented
159#2466C2214yescomplemented
160#2465C2214yescomplemented
161#2463C2214yescomplemented
162#2461C2214yescomplemented
163#2459C2214yescomplemented
164#2452C2212yes—
165#2451C2212yescomplemented
166#2447C2214yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2446C2214yescomplemented
170#2444C2214yescomplemented
171#2444C2214yescomplemented
172#2440C2212yescomplemented
173#2439C2212yescomplemented
174#2438C2214yescomplemented
175#2438C2214yescomplemented
176#2437C2214yescomplemented
177#2437C2214yescomplemented
178#2435C2212yes—
179#2434C2214yescomplemented
180#2432C2214yescomplemented
181#2432C2212yescomplemented
182#2430C2214yescomplemented
183#2429C2212yescomplemented
184#2427C2212yes—
185#2427C2212yes—
186#2427C2212yescomplemented
187#2423C2214yescomplemented
188#2422C2212yes—
189#2422C2214yescomplemented
190#2420C2212yescomplemented
191#2419C2214yescomplemented
192#2419C2214yescomplemented
193#2419C2214yescomplemented
194#2418C2214yes—
195#2418C2214yes—
196#2418C2214yescomplemented
197#2418C2214yescomplemented
198#2417C2212yescomplemented
199#2415C2214yescomplemented
200#2415C2214yescomplemented
201#2415C2212yescomplemented
202#2413C2214yescomplemented
203#2411C2214yescomplemented
204#2410C2214yes—
205#2409C2214yescomplemented
206#2409C2212yescomplemented
207#2408C2212yes—
208#2407C2212yes—
209#2407C2212yes—
210#2407C2214yescomplemented
211#2405C2214yes—
212#2404C2214yescomplemented
213#2399C2211yescharacteristic, complemented
214#2398C2211yescharacteristic
215#2398C2211yescharacteristic, complemented
216#2397C2211yescharacteristic
217#2392C2212yescomplemented
218#2392C2212yescomplemented
219#2367C2212yes—
220#2364C2214yescomplemented
221#2362C2212yescomplemented
222#2361C2212yes—
223#2359C2214yescomplemented
224#2358C2214yescomplemented
225#2352C2212yescomplemented
226#2349C2212yescomplemented
227#2342C2214yescomplemented
228#2339C2212yescomplemented
229D4×C22⋊C4C2212yes—
230#2337C2214yescomplemented
231#2333C2214yescomplemented
232#2331C2211yescharacteristic, complemented
233#2331C2211yescharacteristic, complemented
234#2328C2211yescharacteristic
235#2328C2211yescharacteristic
236#2327C2211yescharacteristic, complemented
237#2327C2211yescharacteristic, complemented
238#2326C2211yescharacteristic
239#2326C2211yescharacteristic
240#2324C2212yes—
241#2324C2212yescomplemented
242#2324C2212yescomplemented
243#2323C2212yescomplemented
244#2323C2214yescomplemented
245#2323C2212yescomplemented
246#2323C2212yescomplemented
247#2322C2214yescomplemented
248#2322C2214yescomplemented
249#2321C2214yescomplemented
250#2317C2211yescharacteristic, complemented
251#2311C2211yescharacteristic
252#2310C2211yescharacteristic, complemented
253C4×C4⋊Q8C2211yescharacteristic, complemented
254C4×C4⋊Q8C2211yescharacteristic, complemented
255C4×#124C2211yescharacteristic
256C4×#124C2211yescharacteristic
257C4×C22⋊Q8C2214yescomplemented
258C4×#123C2214yescomplemented
259C4×#121C2214yescomplemented
260#2297C2214yescomplemented
261#2293C2212yescomplemented
262#2293C2212yescomplemented
263#2293C2212yescomplemented
264#2290C2214yescomplemented
265C2×#388C2214yescomplemented
266#2283C2211yescharacteristic, complemented
267C42×D4C2212yescomplemented
268C4×#117C2211yescharacteristic, complemented
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2314yes—
272C22×#41C2312yes—
273C23×Q8C2311yescharacteristic
274C23×Q8C2312yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277#559—28no—
278#559—28no—
279#559—216no—
280Q82—28no—
281#556—28no—
282#555—216no—
283#554—28no—
284#554—216no—
285#551—232no—
286#550—28no—
287D4×Q8—28no—
288#548—216no—
289#548—216no—
290#547—232no—
291#547—216no—
292#546—216no—
293#546—216no—
294#546—216no—
295D42—28no—
296#542—232no—
297#542—216no—
298#542—216no—
299#538—232no—
300#536—28no—
301#532—216no—
302#532D4116yescomplemented
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2312yes—
312C2×#127C2311yescharacteristic
313#529—216no—
314#529—216no—
315#529—28no—
316#529—28no—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#124—216no—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388#520—216no—
389#518—216no—
390C4×#41—28no—
391C2×C4×Q8—28no—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2314yes—
438C2×#117C2312yes—
439C2×#117C2314yes—
440C2×#117C2311yescharacteristic
441C2×#117C2314yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2314yes—
445C22×C4⋊C4C2312yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2314yes—
448C22×C22⋊C4C2314yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C42C2312yes—
452C22×C42C2312yes—
453C22×C42C2314yes—
454C22×C42C2311yescharacteristic
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2314yes—
459#400C2312yes—
460#400C2312yes—
461#400C2314yes—
462#400C2314yes—
463#399C2312yes—
464#399C2314yes—
465#399C2312yes—
466#399C2312yes—
467#399C2314yes—
468#399C2314yes—
469#398C2312yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#396C2312yes—
499#396C2312yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#395C2312yes—
507#395C2312yes—
508#395C2312yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2312yes—
513#395C2312yes—
514#395C2314yes—
515#395C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2312yes—
546#393C2314yes—
547#393C2312yes—
548#393C2312yes—
549#393C2314yes—
550#393C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2312yes—
558#392C2312yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2314yes—
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
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#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2314yes—
710#383C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#381C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2312yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2314yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764#376C2311yescharacteristic
765#376C2311yescharacteristic
766#376C2312yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C43C2311yescharacteristic
770C43C2311yescharacteristic
771C25C2414yes—
772C2×#41—28no—
773C2×#41—28no—
774C2×#41—216no—
775C2×#41—24no—
776C2×#41—24no—
777C2×#41—42no—
778C2×#41—44no—
779C2×#41—84no—
780C2×#41—84no—
781C2×#41—84no—
782C2×#41C2×D4116yes—
783C22×Q8—24no—
784C22×Q8—28no—
785C22×Q8—24no—
786C22×Q8—42no—
787C22×Q8—84no—
788C22×Q8C2411yescharacteristic
789C22×Q8C2411yescharacteristic
790C22×Q8C2412yes—
791C22×Q8C2411yescharacteristic
792C22×Q8C2411yescharacteristic
793C22×Q8C2411yescharacteristic
794C22×Q8C2414yes—
795C22×Q8C2414yes—
796C22×Q8C2412yes—
797C22×D4—28no—
798C22×D4—28no—
799C22×D4—28no—
800C22×D4—44no—
801C22×D4—84no—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2411yescharacteristic
807C22×D4C2411yescharacteristic
808C22×D4C2412yes—
809C22×D4C2414yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2411yescharacteristic
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2414yes—
818C22×D4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C4⋊Q8—216no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—24no—
843C4⋊Q8—84no—
844C4⋊Q8C2×D418yes—
845#127—28no—
846#127C2×D418yes—
847#126—216no—
848#126—216no—
849#126—216no—
850#126—28no—
851#126—28no—
852#125—28no—
853#125—24no—
854#125—24no—
855#124—28no—
856#124—28no—
857#124—28no—
858#124—216no—
859#124—28no—
860#124—28no—
861#124—24no—
862#124—216no—
863#124—216no—
864#124—216no—
865#124—216no—
866#124—24no—
867#124—24no—
868#124C2×D4116yes—
869#124#4118yescomplemented
870#123—216no—
871#123—216no—
872#123—216no—
873#123—28no—
874#123—28no—
875#123—216no—
876#123—216no—
877#123—216no—
878#123—216no—
879#123—216no—
880#123—216no—
881#123—84no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—28no—
885C22⋊Q8—24no—
886C22⋊Q8—24no—
887C22⋊Q8—216no—
888C22⋊Q8—216no—
889C22⋊Q8—216no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—216no—
893C22⋊Q8—216no—
894C22⋊Q8—216no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—84no—
898C22⋊Q8—84no—
899#121—28no—
900#121—216no—
901#121—216no—
902#121—216no—
903#121—28no—
904#121—28no—
905#121—216no—
906#121—28no—
907#121—24no—
908#121—24no—
909#121—216no—
910#121—84no—
911#121C2×D4116yes—
912#121C2×D4116yes—
913#120—216no—
914#120—216no—
915#120—216no—
916#120—84no—
917C4×Q8—28no—
918C4×Q8—28no—
919C4×Q8—28no—
920C4×Q8—24no—
921C4×Q8—28no—
922C4×Q8—24no—
923C4×Q8—24no—
924C4×Q8—24no—
925C4×Q8—28no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—216no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—216no—
939C4×D4—216no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—216no—
945C4×D4—216no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—84no—
955C4×D4C2×D4116yes—
956C4×D4C2×D4116yes—
957#117—24no—
958#117—28no—
959#117—216no—
960#117—216no—
961#117—28no—
962#117—28no—
963#117—28no—
964#117—24no—
965#117—42no—
966#117—84no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—216no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C22⋊C4—216no—
1026C2×C22⋊C4—216no—
1027C2×C22⋊C4—216no—
1028C2×C22⋊C4—216no—
1029C2×C22⋊C4—84no—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C42—28no—
1093C2×C42—28no—
1094C2×C42—84no—
1095C2×C42C2×D418yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—28no—
1171C24—28no—
1172C24—44no—
1173C24—44no—
1174C24—44no—
1175C24—44no—
1176C24—44no—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2514yes—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182#41—416no—
1183#41—432no—
1184#41—816no—
1185#41—832no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—28no—
1193C2×Q8—28no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—416no—
1209C2×Q8—816no—
1210C2×Q8C22×D418yes—
1211C2×Q8C2×#4114yes—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—432no—
1255C2×D4—816no—
1256C2×D4C22×D418yes—
1257C2×D4C22×D418yes—
1258C2×D4C22×D4116yes—
1259C2×D4C22×D418yes—
1260C2×D4C2×#4114yes—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—28no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—28no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4C22×D414yes—
1307C22×C4C22×D414yes—
1308C22×C4C22×D414yes—
1309C22×C4C22×D4116yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4C22×D418yes—
1389C4⋊C4C22×D418yes—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4C22×D4116yes—
1450C22⋊C4C22×D4116yes—
1451C22⋊C4C2×#41116yes—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—28no—
1460C42—24no—
1461C42—28no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—42no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42C22×D414yes—
1474C42C22×D414yes—
1475C42C22×D414yes—
1476C42C22×D414yes—
1477C42C2×#4114yes—
1478C23—22no—
1479C23—21no—
1480C23—24no—
1481C23—21no—
1482C23—24no—
1483C23—22no—
1484C23—24no—
1485C23—24no—
1486C23—24no—
1487C23—22no—
1488C23—22no—
1489C23—24no—
1490C23—24no—
1491C23—24no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—416no—
1507C23—88no—
1508C23—88no—
1509C23—88no—
1510C23—88no—
1511C23—164no—
1512C23—164no—
1513C23C23×D418yes—
1514C23C23×D412yes—
1515C23C22×#4114yes—
1516C23C2611yescharacteristic
1517Q8—28no—
1518Q8—48no—
1519Q8—48no—
1520Q8—44no—
1521Q8—44no—
1522Q8—44no—
1523Q8—44no—
1524Q8—88no—
1525Q8—88no—
1526D4—28no—
1527D4—216no—
1528D4—48no—
1529D4—48no—
1530D4—416no—
1531D4—416no—
1532D4—44no—
1533D4—44no—
1534D4—416no—
1535D4—48no—
1536D4—48no—
1537D4—84no—
1538D4—88no—
1539D4—84no—
1540D4—88no—
1541D4—88no—
1542D4—84no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—28no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
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—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—44no—
1604C2×C4—416no—
1605C2×C4—44no—
1606C2×C4—48no—
1607C2×C4—48no—
1608C2×C4—416no—
1609C2×C4—48no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—48no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—88no—
1616C2×C4—88no—
1617C2×C4—88no—
1618C2×C4—88no—
1619C2×C4—88no—
1620C2×C4C23×D412yes—
1621C2×C4C23×D412yes—
1622C2×C4C23×D412yes—
1623C2×C4C23×D412yes—
1624C2×C4C23×D418yes—
1625C2×C4C23×D412yes—
1626C2×C4C23×D412yes—
1627C2×C4C22×#4114yes—
1628C2×C4C22×#4114yes—
1629C2×C4C22×#4112yes—
1630C2×C4#58512yes—
1631C22—22no—
1632C22—28no—
1633C22—28no—
1634C22—22no—
1635C22—28no—
1636C22—22no—
1637C22—24no—
1638C22—28no—
1639C22—42no—
1640C22—44no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—42no—
1646C22—44no—
1647C22—44no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—1616no—
1663C22C24×D411yescharacteristic
1664C22C23×#4111yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22H(7,𝔽2)12yes—
1667C222−1+612yes—
1668C4—22no—
1669C4—22no—
1670C4—28no—
1671C4—24no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—24no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—44no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—44no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4D4×#4114yes—
1694C2—42no—
1695C2—48no—
1696C2—44no—
1697C2—82no—
1698C2—82no—
1699C2C2×D4×#4111yescharacteristic
1700C2#6284211yescharacteristic
1701C2#6285712yes—
1702C2#6285911yescharacteristic
1703C2#6288212yes—
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×#3522C2semidirect
2. C2×#3514C2semidirect
3. #45385C2semidirect
4. #45353C2semidirect
5. #45338C2semidirect
6. #45337C2semidirect
7. #45141C2semidirect
8. #45140C2semidirect
9. #45138C2semidirect
10. #45137C2semidirect
11. #45134C2semidirect
12. #44934C2semidirect
13. #44932C2semidirect
14. #44928C2semidirect
15. #39956C2semidirect
16. #39941C2semidirect
17. #38428C2semidirect
18. #38422C2semidirect
19. #37830C2semidirect
20. #37820C2semidirect
21. #37740C2semidirect
22. #37718C2semidirect
23. #35611C2semidirect
24. #35606C2semidirect
25. #35245C2semidirect
26. #35210C2semidirect
27. #35170C2semidirect
28. #34643C2semidirect
29. #34309C2semidirect
30. C4×#536C2semidirect
31. #34086C2semidirect
36. C2×#559C22semidirect
37. C2×Q82C22semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
46. C2×#548C22semidirect
47. C2×#547C22semidirect
48. C2×#547C22semidirect
54. C2×#542C22semidirect
55. C2×#542C22semidirect
59. C2×#532C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
65. C2×#520C22semidirect
68. C22×C4×Q8C22semidirect
69. #2857C22semidirect
70. #2854C22semidirect
71. #2853C22semidirect
72. #2852C22semidirect
75. #2729C22semidirect
76. #2728C22semidirect
77. #2721C22semidirect
78. #2717C22semidirect
79. #2717C22semidirect
80. #2717C22semidirect
81. #2716C22semidirect
82. #2712C22semidirect
83. #2709C22semidirect
85. #2708C22semidirect
86. #2701C22semidirect
87. #2700C22semidirect
88. #2699C22semidirect
89. #2697C22semidirect
90. #2693C22semidirect
91. #2690C22semidirect
92. #2687C22semidirect
93. #2686C22semidirect
94. #2686C22semidirect
96. #2680C22semidirect
97. #2678C22semidirect
98. #2677C22semidirect
99. #2674C22semidirect
100. #2672C22semidirect
101. #2672C22semidirect
103. #2671C22semidirect
105. #2664C22semidirect
106. #2664C22semidirect
107. #2663C22semidirect
108. #2663C22semidirect
109. #2663C22semidirect
110. #2663C22semidirect
112. #2662C22semidirect
114. #2661C22semidirect
115. #2638C22semidirect
116. #2635C22semidirect
117. #2634C22semidirect
119. #2611C22semidirect
120. #2610C22semidirect
121. #2604C22semidirect
122. #2602C22semidirect
123. #2602C22semidirect
124. #2602C22semidirect
126. #2583C22semidirect
127. #2583C22semidirect
128. #2581C22semidirect
129. #2581C22semidirect
130. #2581C22semidirect
132. #2561C22semidirect
133. #2551C22semidirect
134. #2547C22semidirect
135. #2542C22semidirect
139. #2536C22semidirect
141. #2521C22semidirect
142. #2521C22semidirect
143. #2496C22semidirect
144. #2492C22semidirect
145. #2492C22semidirect
146. #2491C22semidirect
147. #2487C22semidirect
148. #2485C22semidirect
149. #2480C22semidirect
150. #2478C22semidirect
151. #2474C22semidirect
152. #2474C22semidirect
153. #2472C22semidirect
154. #2472C22semidirect
155. #2470C22semidirect
156. #2469C22semidirect
157. #2468C22semidirect
158. #2467C22semidirect
159. #2466C22semidirect
160. #2465C22semidirect
161. #2463C22semidirect
162. #2461C22semidirect
163. #2459C22semidirect
165. #2451C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2446C22semidirect
170. #2444C22semidirect
171. #2444C22semidirect
172. #2440C22semidirect
173. #2439C22semidirect
174. #2438C22semidirect
175. #2438C22semidirect
176. #2437C22semidirect
177. #2437C22semidirect
179. #2434C22semidirect
180. #2432C22semidirect
181. #2432C22semidirect
182. #2430C22semidirect
183. #2429C22semidirect
186. #2427C22semidirect
187. #2423C22semidirect
189. #2422C22semidirect
190. #2420C22semidirect
191. #2419C22semidirect
192. #2419C22semidirect
193. #2419C22semidirect
196. #2418C22semidirect
197. #2418C22semidirect
198. #2417C22semidirect
199. #2415C22semidirect
200. #2415C22semidirect
201. #2415C22semidirect
202. #2413C22semidirect
203. #2411C22semidirect
205. #2409C22semidirect
206. #2409C22semidirect
210. #2407C22semidirect
212. #2404C22semidirect
213. #2399C22semidirect
215. #2398C22semidirect
217. #2392C22semidirect
218. #2392C22semidirect
220. #2364C22semidirect
221. #2362C22semidirect
223. #2359C22semidirect
224. #2358C22semidirect
225. #2352C22semidirect
226. #2349C22semidirect
227. #2342C22semidirect
228. #2339C22semidirect
230. #2337C22semidirect
231. #2333C22semidirect
232. #2331C22semidirect
233. #2331C22semidirect
236. #2327C22semidirect
237. #2327C22semidirect
241. #2324C22semidirect
242. #2324C22semidirect
243. #2323C22semidirect
244. #2323C22semidirect
245. #2323C22semidirect
246. #2323C22semidirect
247. #2322C22semidirect
248. #2322C22semidirect
249. #2321C22semidirect
250. #2317C22semidirect
252. #2310C22semidirect
253. C4×C4⋊Q8C22semidirect
254. C4×C4⋊Q8C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×#123C22semidirect
259. C4×#121C22semidirect
260. #2297C22semidirect
261. #2293C22semidirect
262. #2293C22semidirect
263. #2293C22semidirect
264. #2290C22semidirect
265. C2×#388C22semidirect
266. #2283C22semidirect
267. C42×D4C22semidirect
268. C4×#117C22semidirect
302. #532D4semidirect
869. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#35142
#453852
#453532
#453382
#453372
#451412
#451402
#451382
#451372
#451342
#449342
#449322
#449282
#399562
#399412
#384282
#384222
#378302
#378202
#377402
#377182
#356112
#356062
#352452
#352102
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