Finite Group Databasebeta

← #7732457

Subgroups — #7732457

Order 512.

7053 conjugacy classes of subgroups.

The subgroup lattice has 1741 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3558C211yesmaximal, characteristic, complemented
3#51213C212yesmaximal, complemented
4#51073C212yesmaximal, complemented
5#50896C212yesmaximal, complemented
6#50693C212yesmaximal, complemented
7#47218C212yesmaximal, complemented
8#46814C212yesmaximal, complemented
9#46427C212yesmaximal, complemented
10#46354C212yesmaximal, complemented
11#45385C212yesmaximal, complemented
12#45352C212yesmaximal, complemented
13#45136C212yesmaximal, complemented
14#44929C212yesmaximal, complemented
15#39960C214yesmaximal, complemented
16#39949C212yesmaximal, complemented
17#39948C212yesmaximal, complemented
18#38428C214yesmaximal, complemented
19#37748C212yesmaximal, complemented
20#37748C212yesmaximal, complemented
21#37711C212yesmaximal, complemented
22#37704C212yesmaximal, complemented
23#37560C211yesmaximal, characteristic, complemented
24#36745C214yesmaximal, complemented
25#36471C212yesmaximal, complemented
26#36238C212yesmaximal, complemented
27#35364C214yesmaximal, complemented
28#35338C211yesmaximal, characteristic, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34910C211yesmaximal, characteristic, complemented
31#34086C211yesmaximal, characteristic, complemented
32#3558—216no—
33C2×#562C2212yes—
34C2×H(3,𝔽4)C2212yes—
35#3511—216no—
36C2×#559C2212yes—
37C2×#556C2212yescomplemented
38C2×#555C2212yescomplemented
39C2×#554C2212yescomplemented
40C2×#553C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#548C2212yes—
43C2×#548C2212yescomplemented
44C2×#548C2212yescomplemented
45C2×#547C2212yescomplemented
46C2×#546C2212yes—
47C2×#546C2214yes—
48C2×D42C2212yes—
49C2×#542C2212yes—
50C2×#542C2212yescomplemented
51C2×#542C2212yescomplemented
52C2×#538C2214yes—
53C2×#538C2212yes—
54C2×#537C2212yescomplemented
55C2×#535C2212yes—
56C2×#534C2212yes—
57C2×#533C2211yescharacteristic, complemented
58C2×#533C2211yescharacteristic, complemented
59C2×#532C2211yescharacteristic
60C2×#532C2211yescharacteristic, complemented
61C2×#532C2211yescharacteristic, complemented
62C22×C4⋊Q8C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C22×#124C2211yescharacteristic
65C2×#520C2212yescomplemented
66C2×C4×#41C2211yescharacteristic, complemented
67#2861C2212yescomplemented
68#2861C2212yescomplemented
69#2854C2214yescomplemented
70#2850C2214yescomplemented
71#2850C2212yescomplemented
72#2850C2212yescomplemented
73#2817C2212yescomplemented
74#2816C2212yes—
75#2731C2214yescomplemented
76#2730C2214yescomplemented
77#2729C2214yescomplemented
78#2728C2214yescomplemented
79#2723C2214yescomplemented
80#2718C2214yescomplemented
81#2716C2214yescomplemented
82#2715C2214yescomplemented
83#2712C2214yescomplemented
84#2703C2214yescomplemented
85#2701C2214yescomplemented
86#2700C2214yescomplemented
87#2700C2214yescomplemented
88#2699C2214yescomplemented
89#2698C2214yescomplemented
90#2697C2214yescomplemented
91#2696C2214yescomplemented
92#2691C2214yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2688C2214yescomplemented
96#2687C2214yescomplemented
97#2686C2214yescomplemented
98#2686C2214yescomplemented
99#2686C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2684C2214yescomplemented
103#2684C2214yescomplemented
104#2684C2214yescomplemented
105#2680C2214yescomplemented
106#2678C2214yescomplemented
107#2676C2214yescomplemented
108#2674C2214yescomplemented
109#2674C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yescomplemented
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2668C2214yescomplemented
115#2663C2214yescomplemented
116#2663C2214yescomplemented
117#2661C2214yescomplemented
118#2640C2212yescomplemented
119#2640C2212yescomplemented
120#2634C2212yescomplemented
121#2632C2212yescomplemented
122#2632C2212yescomplemented
123#2631C2212yescomplemented
124#2628C2212yescomplemented
125#2628C2212yescomplemented
126#2610C2212yescomplemented
127#2610C2212yescomplemented
128#2604C2214yescomplemented
129#2602C2212yescomplemented
130#2602C2214yescomplemented
131#2602C2212yescomplemented
132#2602C2214yescomplemented
133#2601C2212yescomplemented
134#2601C2212yescomplemented
135#2592C2212yescomplemented
136#2592C2212yescomplemented
137#2592C2214yescomplemented
138#2592C2212yescomplemented
139#2591C2214yescomplemented
140#2584C2212yescomplemented
141#2566C2211yescharacteristic, complemented
142#2565C2211yescharacteristic, complemented
143#2562C2212yescomplemented
144#2561C2212yescomplemented
145#2561C2214yescomplemented
146#2561C2212yescomplemented
147#2561C2214yescomplemented
148#2555C2214yescomplemented
149#2553C2214yescomplemented
150#2545C2211yescharacteristic, complemented
151#2544C2211yescharacteristic, complemented
152#2540C2212yescomplemented
153#2521C2214yescomplemented
154#2500C2211yescharacteristic
155#2499C2211yescharacteristic, complemented
156#2492C2212yescomplemented
157#2491C2212yes—
158#2490C2212yes—
159#2489C2212yescomplemented
160#2488C2214yescomplemented
161#2488C2214yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2482C2212yescomplemented
165#2481C2214yescomplemented
166#2476C2214yescomplemented
167#2474C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2469C2214yescomplemented
171#2464C2214yescomplemented
172#2459C2214yescomplemented
173#2458C2214yescomplemented
174#2456C2214yescomplemented
175#2454C2212yescomplemented
176#2453C2212yescomplemented
177#2452C2212yescomplemented
178#2451C2212yescomplemented
179#2450C2214yescomplemented
180#2448C2214yescomplemented
181#2447C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2214yescomplemented
184#2445C2212yes—
185#2445C2212yes—
186#2444C2214yescomplemented
187#2444C2214yescomplemented
188#2444C2214yescomplemented
189#2443C2214yescomplemented
190#2438C2214yescomplemented
191#2436C2214yescomplemented
192#2435C2214yescomplemented
193#2432C2211yescharacteristic, complemented
194#2431C2211yescharacteristic
195#2430C2214yescomplemented
196#2430C2214yescomplemented
197#2428C2212yes—
198#2428C2212yes—
199#2427C2212yescomplemented
200#2427C2212yescomplemented
201#2424C2214yescomplemented
202#2421C2214yescomplemented
203#2420C2214yescomplemented
204#2419C2214yescomplemented
205#2418C2214yescomplemented
206#2418C2214yescomplemented
207#2417C2212yescomplemented
208#2416C2212yes—
209#2415C2212yescomplemented
210#2415C2214yescomplemented
211#2414C2212yes—
212#2414C2214yescomplemented
213#2413C2214yescomplemented
214#2411C2214yescomplemented
215#2411C2214yescomplemented
216#2410C2214yescomplemented
217#2409C2214yescomplemented
218#2409C2211yescharacteristic, complemented
219#2409C2211yescharacteristic, complemented
220#2408C2211yescharacteristic
221#2408C2211yescharacteristic
222#2408C2212yescomplemented
223#2408C2212yescomplemented
224#2408C2214yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2405C2214yescomplemented
228#2404C2214yescomplemented
229#2404C2214yescomplemented
230#2404C2212yescomplemented
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233#2363C2212yescomplemented
234#2362C2212yescomplemented
235#2361C2212yescomplemented
236#2360C2212yescomplemented
237#2339C2212yescomplemented
238#2339C2212yescomplemented
239D4×C22⋊C4C2212yescomplemented
240D4×C22⋊C4C2212yescomplemented
241#2337C2212yescomplemented
242#2337C2212yescomplemented
243#2333C2212yescomplemented
244#2333C2212yescomplemented
245#2331C2212yescomplemented
246#2328C2212yescomplemented
247#2324C2212yescomplemented
248#2324C2212yescomplemented
249#2322C2214yescomplemented
250#2321C2214yescomplemented
251#2321C2212yescomplemented
252#2321C2212yescomplemented
253#2310C2212yescomplemented
254#2309C2212yes—
255C4×C4⋊Q8C2211yescharacteristic, complemented
256C4×#127C2211yescharacteristic, complemented
257C4×#124C2211yescharacteristic, complemented
258C4×#124C2211yescharacteristic, complemented
259C4×#121C2214yescomplemented
260#2297C2214yescomplemented
261#2293C2212yescomplemented
262#2290C2214yescomplemented
263#2290C2212yescomplemented
264#2290C2212yescomplemented
265C2×#388C2214yescomplemented
266#2283C2211yescharacteristic, complemented
267C42×D4C2212yescomplemented
268C4×#117C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C22×#41C2312yes—
272C22×#41C2312yes—
273C22×#41C2312yes—
274C23×Q8C2311yescharacteristic
275C23×Q8C2312yes—
276C23×D4C2311yescharacteristic
277C23×D4C2312yes—
278C23×D4C2314yes—
279#562—216no—
280H(3,𝔽4)—216no—
281#559—216no—
282#556—216no—
283#555—216no—
284#554—216no—
285#553—216no—
286#553—216no—
287#548—216no—
288#548—216no—
289#548—216no—
290#547—216no—
291#546—232no—
292#546—216no—
293D42—216no—
294#542—216no—
295#542—216no—
296#542—216no—
297#538—216no—
298#538—232no—
299#537—216no—
300#535—216no—
301#534—216no—
302#533—28no—
303#533—28no—
304#532—28no—
305#532—28no—
306#532D4116yescomplemented
307C2×C4⋊Q8—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318#529—28no—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#124—28no—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2314yes—
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397#520—216no—
398C4×#41—28no—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2314yes—
438C2×#117C2312yes—
439C2×#117C2314yes—
440C22×C4⋊C4C2314yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2314yes—
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2314yes—
451C22×C42C2311yescharacteristic
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2312yes—
497#395C2312yes—
498#395C2314yes—
499#395C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2312yes—
537#393C2312yes—
538#393C2314yes—
539#393C2314yes—
540#392C2312yes—
541#392C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2314yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2314yes—
562#391C2314yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2314yes—
567#391C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
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#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
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#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#383C2312yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2314yes—
715#381C2312yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2312yes—
737#379C2312yes—
738#379C2314yes—
739#379C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C22⋊C4C2311yescharacteristic
750C4×C22⋊C4C2311yescharacteristic
751C4×C22⋊C4C2312yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2314yes—
763#376C2312yes—
764#376C2312yes—
765C2×#95C2314yes—
766C2×#95C2314yes—
767C43C2311yescharacteristic
768C43C2311yescharacteristic
769C25C2414yes—
770C25C2412yes—
771C2×#41—28no—
772C2×#41—28no—
773C2×#41—28no—
774C2×#41—24no—
775C2×#41—44no—
776C2×#41—42no—
777C2×#41—44no—
778C2×#41—42no—
779C2×#41—44no—
780C2×#41—44no—
781C2×#41—84no—
782C2×#41—84no—
783C2×#41C2×D4116yes—
784C22×Q8—28no—
785C22×Q8—24no—
786C22×Q8—44no—
787C22×Q8—84no—
788C22×Q8C2412yes—
789C22×Q8C2411yescharacteristic
790C22×Q8C2412yes—
791C22×Q8C2411yescharacteristic
792C22×Q8C2412yes—
793C22×Q8C2414yes—
794C22×Q8C2412yes—
795C22×Q8C2412yes—
796C22×D4—216no—
797C22×D4—28no—
798C22×D4—24no—
799C22×D4—44no—
800C22×D4—44no—
801C22×D4—44no—
802C22×D4—84no—
803C22×D4—84no—
804C22×D4C2412yes—
805C22×D4C2411yescharacteristic
806C22×D4C2411yescharacteristic
807C22×D4C2414yes—
808C22×D4C2411yescharacteristic
809C22×D4C2412yes—
810C22×D4C2411yescharacteristic
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2412yes—
814C22×D4C2412yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2414yes—
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2412yes—
822C22×D4C2414yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C4⋊Q8—28no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—42no—
851C4⋊Q8C2×D418yes—
852#127—28no—
853#127—42no—
854#127C2×D418yes—
855#126—216no—
856#126—216no—
857#126—216no—
858#126—28no—
859#125—28no—
860#125—24no—
861#125—28no—
862#124—216no—
863#124—28no—
864#124—28no—
865#124—28no—
866#124—216no—
867#124—216no—
868#124—216no—
869#124—216no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—24no—
875#124—42no—
876#124—42no—
877#124—84no—
878#124C2×D4116yes—
879#123—216no—
880#123—28no—
881#123—216no—
882#123—216no—
883#123—216no—
884#123—216no—
885#123—216no—
886#123—48no—
887#123—84no—
888C22⋊Q8—28no—
889C22⋊Q8—216no—
890C22⋊Q8—24no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—216no—
897C22⋊Q8—216no—
898C22⋊Q8—216no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—84no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—216no—
910#121—216no—
911#121—24no—
912#121—216no—
913#121—28no—
914#121—216no—
915#121—216no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—84no—
920#121—84no—
921#121C2×D4116yes—
922#121C2×D4116yes—
923#120—216no—
924#120—216no—
925#120—216no—
926#120—216no—
927#120—216no—
928#120—44no—
929#120—44no—
930#120—48no—
931#120—84no—
932C4×Q8—28no—
933C4×Q8—28no—
934C4×Q8—28no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—28no—
938C4×Q8—24no—
939C4×Q8—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—216no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—216no—
950C4×D4—28no—
951C4×D4—216no—
952C4×D4—28no—
953C4×D4—216no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—84no—
962C4×D4C2×D4116yes—
963C4×D4C2×D4116yes—
964#117—24no—
965#117—28no—
966#117—28no—
967#117—216no—
968#117—24no—
969#117—24no—
970#117—28no—
971#117—44no—
972#117—84no—
973C2×C4⋊C4—216no—
974C2×C4⋊C4—28no—
975C2×C4⋊C4—28no—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—216no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—84no—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C42—24no—
1096C2×C42—24no—
1097C2×C42—84no—
1098C2×C42C2×D418yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24—24no—
1170C24—28no—
1171C24—44no—
1172C24—44no—
1173C24—44no—
1174C24—44no—
1175C24—44no—
1176C24—44no—
1177C24—42no—
1178C24—42no—
1179C24—44no—
1180C24—44no—
1181C24C2512yes—
1182C24C2514yes—
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185C24C2514yes—
1186C24C2511yescharacteristic
1187#41—416no—
1188#41—432no—
1189#41—816no—
1190#41—816no—
1191#41—816no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—28no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—22no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—41no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—41no—
1209C2×Q8—44no—
1210C2×Q8—41no—
1211C2×Q8—44no—
1212C2×Q8—88no—
1213C2×Q8—816no—
1214C2×Q8C22×D418yes—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—28no—
1221C2×D4—22no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—41no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—41no—
1264C2×D4—44no—
1265C2×D4—41no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—88no—
1276C2×D4—816no—
1277C2×D4—832no—
1278C2×D4C22×D418yes—
1279C2×D4C22×D418yes—
1280C2×D4C22×D418yes—
1281C2×D4C22×D4116yes—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—28no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—44no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4C22×D414yes—
1329C22×C4C22×D414yes—
1330C22×C4C22×D414yes—
1331C22×C4C22×D4116yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—28no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—22no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4C22×D418yes—
1400C4⋊C4C22×D418yes—
1401C22⋊C4—28no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4C22×D4116yes—
1470C22⋊C4C22×D4116yes—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—28no—
1478C42—28no—
1479C42—24no—
1480C42—28no—
1481C42—24no—
1482C42—24no—
1483C42—42no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—42no—
1488C42—41no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C42C22×D414yes—
1493C42C22×D414yes—
1494C42C22×D414yes—
1495C42C22×D414yes—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—21no—
1500C23—21no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—21no—
1506C23—24no—
1507C23—22no—
1508C23—24no—
1509C23—22no—
1510C23—21no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—24no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—24no—
1522C23—24no—
1523C23—21no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—22no—
1529C23—48no—
1530C23—84no—
1531C23—88no—
1532C23—88no—
1533C23—88no—
1534C23—84no—
1535C23—88no—
1536C23—88no—
1537C23—164no—
1538C23—164no—
1539C23—164no—
1540C23—164no—
1541C23C23×D412yes—
1542C23C23×D418yes—
1543C23#58512yes—
1544C23C2611yescharacteristic
1545Q8—48no—
1546Q8—44no—
1547Q8—48no—
1548Q8—48no—
1549Q8—48no—
1550Q8—82no—
1551Q8—84no—
1552Q8—88no—
1553D4—216no—
1554D4—416no—
1555D4—48no—
1556D4—48no—
1557D4—44no—
1558D4—44no—
1559D4—416no—
1560D4—44no—
1561D4—48no—
1562D4—48no—
1563D4—82no—
1564D4—84no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—88no—
1573D4—84no—
1574D4—164no—
1575C2×C4—28no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—28no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—44no—
1636C2×C4—416no—
1637C2×C4—44no—
1638C2×C4—416no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4—84no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4C23×D412yes—
1653C2×C4C23×D412yes—
1654C2×C4C23×D412yes—
1655C2×C4C23×D418yes—
1656C2×C4C23×D412yes—
1657C2×C4C23×D412yes—
1658C2×C4C23×D412yes—
1659C2×C4#58512yes—
1660C2×C4#58514yes—
1661C22—22no—
1662C22—28no—
1663C22—22no—
1664C22—28no—
1665C22—22no—
1666C22—28no—
1667C22—22no—
1668C22—24no—
1669C22—41no—
1670C22—41no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—42no—
1675C22—44no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—44no—
1681C22—41no—
1682C22—42no—
1683C22—44no—
1684C22—41no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—42no—
1691C22—44no—
1692C22—42no—
1693C22—44no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—168no—
1698C22—1616no—
1699C22C24×D411yescharacteristic
1700C22C2×#58512yes—
1701C22C2×#58511yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22H(7,𝔽2)12yes—
1704C4—22no—
1705C4—22no—
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—28no—
1711C4—41no—
1712C4—41no—
1713C4—42no—
1714C4—44no—
1715C4—41no—
1716C4—44no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—44no—
1722C4—42no—
1723C4—42no—
1724C4—44no—
1725C4—42no—
1726C4—44no—
1727C4—42no—
1728C4#350014yes—
1729C2—42no—
1730C2—48no—
1731C2—42no—
1732C2—81no—
1733C2—82no—
1734C2—84no—
1735C2C2×#350011yescharacteristic
1736C2#6281111yescharacteristic
1737C2#6284211yescharacteristic
1738C2#6293812yes—
1739C2#6297012yes—
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×#3511C2semidirect
2. C2×#3558C2semidirect
3. #51213C2semidirect
4. #51073C2semidirect
5. #50896C2semidirect
6. #50693C2semidirect
7. #47218C2semidirect
8. #46814C2semidirect
9. #46427C2semidirect
10. #46354C2semidirect
11. #45385C2semidirect
12. #45352C2semidirect
13. #45136C2semidirect
14. #44929C2semidirect
15. #39960C2semidirect
16. #39949C2semidirect
17. #39948C2semidirect
18. #38428C2semidirect
19. #37748C2semidirect
20. #37748C2semidirect
21. #37711C2semidirect
22. #37704C2semidirect
23. #37560C2semidirect
24. #36745C2semidirect
25. #36471C2semidirect
26. #36238C2semidirect
27. #35364C2semidirect
28. #35338C2semidirect
29. #35129C2semidirect
30. #34910C2semidirect
31. #34086C2semidirect
37. C2×#556C22semidirect
38. C2×#555C22semidirect
39. C2×#554C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
43. C2×#548C22semidirect
44. C2×#548C22semidirect
45. C2×#547C22semidirect
50. C2×#542C22semidirect
51. C2×#542C22semidirect
54. C2×#537C22semidirect
57. C2×#533C22semidirect
58. C2×#533C22semidirect
60. C2×#532C22semidirect
61. C2×#532C22semidirect
62. C22×C4⋊Q8C22semidirect
65. C2×#520C22semidirect
66. C2×C4×#41C22semidirect
67. #2861C22semidirect
68. #2861C22semidirect
69. #2854C22semidirect
70. #2850C22semidirect
71. #2850C22semidirect
72. #2850C22semidirect
73. #2817C22semidirect
75. #2731C22semidirect
76. #2730C22semidirect
77. #2729C22semidirect
78. #2728C22semidirect
79. #2723C22semidirect
80. #2718C22semidirect
81. #2716C22semidirect
82. #2715C22semidirect
83. #2712C22semidirect
84. #2703C22semidirect
85. #2701C22semidirect
86. #2700C22semidirect
87. #2700C22semidirect
88. #2699C22semidirect
89. #2698C22semidirect
90. #2697C22semidirect
91. #2696C22semidirect
92. #2691C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2688C22semidirect
96. #2687C22semidirect
97. #2686C22semidirect
98. #2686C22semidirect
99. #2686C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2684C22semidirect
103. #2684C22semidirect
104. #2684C22semidirect
105. #2680C22semidirect
106. #2678C22semidirect
107. #2676C22semidirect
108. #2674C22semidirect
109. #2674C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2668C22semidirect
115. #2663C22semidirect
116. #2663C22semidirect
117. #2661C22semidirect
118. #2640C22semidirect
119. #2640C22semidirect
120. #2634C22semidirect
121. #2632C22semidirect
122. #2632C22semidirect
123. #2631C22semidirect
124. #2628C22semidirect
125. #2628C22semidirect
126. #2610C22semidirect
127. #2610C22semidirect
128. #2604C22semidirect
129. #2602C22semidirect
130. #2602C22semidirect
131. #2602C22semidirect
132. #2602C22semidirect
133. #2601C22semidirect
134. #2601C22semidirect
135. #2592C22semidirect
136. #2592C22semidirect
137. #2592C22semidirect
138. #2592C22semidirect
139. #2591C22semidirect
140. #2584C22semidirect
141. #2566C22semidirect
142. #2565C22semidirect
143. #2562C22semidirect
144. #2561C22semidirect
145. #2561C22semidirect
146. #2561C22semidirect
147. #2561C22semidirect
148. #2555C22semidirect
149. #2553C22semidirect
150. #2545C22semidirect
151. #2544C22semidirect
152. #2540C22semidirect
153. #2521C22semidirect
155. #2499C22semidirect
156. #2492C22semidirect
159. #2489C22semidirect
160. #2488C22semidirect
161. #2488C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2482C22semidirect
165. #2481C22semidirect
166. #2476C22semidirect
167. #2474C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2469C22semidirect
171. #2464C22semidirect
172. #2459C22semidirect
173. #2458C22semidirect
174. #2456C22semidirect
175. #2454C22semidirect
176. #2453C22semidirect
177. #2452C22semidirect
178. #2451C22semidirect
179. #2450C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
186. #2444C22semidirect
187. #2444C22semidirect
188. #2444C22semidirect
189. #2443C22semidirect
190. #2438C22semidirect
191. #2436C22semidirect
192. #2435C22semidirect
193. #2432C22semidirect
195. #2430C22semidirect
196. #2430C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
201. #2424C22semidirect
202. #2421C22semidirect
203. #2420C22semidirect
204. #2419C22semidirect
205. #2418C22semidirect
206. #2418C22semidirect
207. #2417C22semidirect
209. #2415C22semidirect
210. #2415C22semidirect
212. #2414C22semidirect
213. #2413C22semidirect
214. #2411C22semidirect
215. #2411C22semidirect
216. #2410C22semidirect
217. #2409C22semidirect
218. #2409C22semidirect
219. #2409C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2405C22semidirect
228. #2404C22semidirect
229. #2404C22semidirect
230. #2404C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
233. #2363C22semidirect
234. #2362C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
237. #2339C22semidirect
238. #2339C22semidirect
239. D4×C22⋊C4C22semidirect
240. D4×C22⋊C4C22semidirect
241. #2337C22semidirect
242. #2337C22semidirect
243. #2333C22semidirect
244. #2333C22semidirect
245. #2331C22semidirect
246. #2328C22semidirect
247. #2324C22semidirect
248. #2324C22semidirect
249. #2322C22semidirect
250. #2321C22semidirect
251. #2321C22semidirect
252. #2321C22semidirect
253. #2310C22semidirect
255. C4×C4⋊Q8C22semidirect
256. C4×#127C22semidirect
257. C4×#124C22semidirect
258. C4×#124C22semidirect
259. C4×#121C22semidirect
260. #2297C22semidirect
261. #2293C22semidirect
262. #2290C22semidirect
263. #2290C22semidirect
264. #2290C22semidirect
265. C2×#388C22semidirect
266. #2283C22semidirect
267. C42×D4C22semidirect
268. C4×#117C22semidirect
306. #532D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#35582
#512132
#510732
#508962
#506932
#472182
#468142
#464272
#463542
#453852
#453522
#451362
#449292
#399602
#399492
#399482
#384282
#377482
#377112
#377042
#375602
#367452
#364712
#362382
#353642
#353382
#351292
#349102
#340862