Finite Group Databasebeta

← #7712398

Subgroups — #7712398

Order 512.

5442 conjugacy classes of subgroups.

The subgroup lattice has 1791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59701C212yesmaximal, complemented
2#59488C212yesmaximal, complemented
3#59047C212yesmaximal, complemented
4#59030C212yesmaximal, complemented
5#46252C214yesmaximal, complemented
6#45588C214yesmaximal, complemented
7#39202C211yesmaximal, characteristic, complemented
8#39194C211yesmaximal, characteristic, complemented
9#38966C211yesmaximal, characteristic, complemented
10#38957C211yesmaximal, characteristic, complemented
11#38741C214yesmaximal, complemented
12#38545C214yesmaximal, complemented
13#38288C212yesmaximal, complemented
14#38254C212yesmaximal, complemented
15#38212C212yesmaximal, complemented
16#38202C212yesmaximal, complemented
17#38124C212yesmaximal, complemented
18#38084C212yesmaximal, complemented
19#37627C211yesmaximal, characteristic, complemented
20#37625C211yesmaximal, characteristic, complemented
21#37365C212yesmaximal, complemented
22#37355C212yesmaximal, complemented
23#36638C211yesmaximal, characteristic, complemented
24#36631C211yesmaximal, characteristic, complemented
25#36208C212yesmaximal, complemented
26#36186C211yesmaximal, characteristic, complemented
27#36161C211yesmaximal, characteristic, complemented
28#36117C211yesmaximal, characteristic, complemented
29#36107C212yesmaximal, complemented
30D4×#121C211yesmaximal, characteristic
31#35302C212yesmaximal, complemented
32#35262C212yesmaximal, complemented
33#34493C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#552C2212yescomplemented
38C2×D42C2211yescharacteristic
39C2×D42C2212yes—
40C2×#529C2212yescomplemented
41C2×#529C2212yescomplemented
42C22×#121C2212yes—
43C22×C4×D4C2211yescharacteristic
44C22×#117C2212yescomplemented
45#2866C2212yescomplemented
46#2865C2212yescomplemented
47#2864C2211yescharacteristic, complemented
48#2863C2211yescharacteristic, complemented
49#2861C2212yescomplemented
50#2861C2211yescharacteristic, complemented
51#2860C2212yescomplemented
52#2860C2212yescomplemented
53#2860C2211yescharacteristic, complemented
54#2859C2211yescharacteristic, complemented
55#2858C2211yescharacteristic, complemented
56#2857C2211yescharacteristic, complemented
57#2856C2211yescharacteristic
58#2855C2211yescharacteristic, complemented
59#2854C2212yes—
60#2854C2211yescharacteristic
61#2854C2212yescomplemented
62#2854C2212yescomplemented
63#2854C2212yescomplemented
64#2853C2212yescomplemented
65#2852C2212yescomplemented
66#2851C2211yescharacteristic, complemented
67#2850C2211yescharacteristic
68#2850C2212yescomplemented
69#2848C2212yescomplemented
70#2847C2212yes—
71#2837C2214yescomplemented
72#2829C2214yescomplemented
73#2803C2214yescomplemented
74#2803C2214yescomplemented
75#2801C2214yescomplemented
76#2800C2214yescomplemented
77#2800C2214yescomplemented
78#2797C2214yescomplemented
79#2796C2214yescomplemented
80#2795C2214yescomplemented
81#2795C2214yescomplemented
82#2790C2214yescomplemented
83#2786C2214yescomplemented
84#2781C2214yescomplemented
85#2772C2214yescomplemented
86#2768C2214yescomplemented
87#2765C2214yescomplemented
88#2757C2214yescomplemented
89#2756C2214yescomplemented
90#2752C2214yescomplemented
91#2746C2214yescomplemented
92#2735C2214yescomplemented
93#2735C2214yescomplemented
94#2735C2214yescomplemented
95#2727C2214yescomplemented
96#2721C2214yescomplemented
97#2711C2214yescomplemented
98#2711C2214yescomplemented
99#2691C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2685C2214yescomplemented
103#2685C2214yescomplemented
104#2685C2214yescomplemented
105#2651C2214yescomplemented
106#2644C2212yescomplemented
107#2641C2212yescomplemented
108#2630C2214yescomplemented
109#2629C2212yescomplemented
110#2629C2212yescomplemented
111#2625C2212yescomplemented
112#2624C2212yescomplemented
113#2624C2212yescomplemented
114#2624C2212yescomplemented
115#2624C2212yescomplemented
116#2620C2212yescomplemented
117#2620C2212yescomplemented
118#2620C2212yescomplemented
119#2609C2214yescomplemented
120#2609C2214yescomplemented
121#2601C2214yescomplemented
122#2601C2214yescomplemented
123#2579C2214yescomplemented
124#2578C2214yescomplemented
125#2576C2214yescomplemented
126#2566C2212yes—
127#2559C2214yescomplemented
128#2554C2214yescomplemented
129#2552C2211yescharacteristic, complemented
130#2552C2211yescharacteristic, complemented
131#2552C2212yescomplemented
132#2548C2211yescharacteristic, complemented
133#2548C2212yescomplemented
134#2547C2211yescharacteristic, complemented
135#2544C2212yescomplemented
136#2542C2211yescharacteristic, complemented
137#2541C2211yescharacteristic
138#2538C2211yescharacteristic, complemented
139#2537C2211yescharacteristic
140#2534C2214yescomplemented
141#2519C2214yescomplemented
142#2518C2214yescomplemented
143#2518C2214yescomplemented
144#2516C2214yescomplemented
145#2512C2212yescomplemented
146#2512C2212yescomplemented
147#2510C2214yescomplemented
148#2508C2212yescomplemented
149#2506C2212yescomplemented
150#2504C2214yescomplemented
151#2501C2214yescomplemented
152#2501C2212yescomplemented
153#2500C2212yescomplemented
154#2500C2212yescomplemented
155#2500C2214yescomplemented
156#2500C2214yescomplemented
157#2498C2214yescomplemented
158#2497C2212yescomplemented
159#2494C2212yescomplemented
160#2494C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2490C2212yescomplemented
164#2489C2212yescomplemented
165#2485C2212yescomplemented
166#2482C2214yescomplemented
167#2482C2214yescomplemented
168#2480C2214yescomplemented
169#2480C2214yescomplemented
170#2480C2214yescomplemented
171#2479C2214yescomplemented
172#2479C2214yescomplemented
173#2476C2214yescomplemented
174#2476C2214yescomplemented
175#2466C2214yescomplemented
176#2454C2212yes—
177#2454C2212yescomplemented
178#2454C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yes—
182#2447C2212yescomplemented
183#2445C2212yescomplemented
184#2444C2214yescomplemented
185#2442C2212yescomplemented
186#2441C2212yescomplemented
187#2441C2212yescomplemented
188#2441C2214yescomplemented
189#2435C2212yes—
190#2435C2212yes—
191#2435C2212yes—
192#2435C2212yescomplemented
193#2428C2212yes—
194#2427C2212yescomplemented
195#2426C2212yescomplemented
196#2426C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2425C2214yescomplemented
200#2425C2214yescomplemented
201#2424C2214yes—
202#2423C2212yescomplemented
203#2422C2212yescomplemented
204#2420C2212yescomplemented
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2416C2212yes—
208#2416C2212yes—
209#2415C2212yescomplemented
210#2413C2214yescomplemented
211#2411C2214yescomplemented
212#2411C2214yescomplemented
213#2411C2214yescomplemented
214#2410C2214yes—
215#2408C2212yes—
216#2405C2214yescomplemented
217#2405C2214yescomplemented
218#2405C2214yescomplemented
219#2383C2214yescomplemented
220#2375C2214yescomplemented
221#2374C2214yescomplemented
222#2367C2212yes—
223#2367C2212yescomplemented
224#2366C2211yescharacteristic, complemented
225#2365C2211yescharacteristic, complemented
226#2363C2212yescomplemented
227#2363C2212yescomplemented
228#2362C2212yescomplemented
229#2361C2212yescomplemented
230#2360C2212yescomplemented
231#2360C2212yescomplemented
232#2359C2214yescomplemented
233#2354C2211yescharacteristic
234#2354C2212yescomplemented
235#2354C2211yescharacteristic, complemented
236Q8×C4⋊C4C2211yescharacteristic, complemented
237Q8×C4⋊C4C2212yescomplemented
238D4×C4⋊C4C2211yescharacteristic
239#2347C2212yescomplemented
240#2342C2214yescomplemented
241D4×C22⋊C4C2212yes—
242D4×C22⋊C4C2212yes—
243D4×C22⋊C4C2212yescomplemented
244D4×C22⋊C4C2214yescomplemented
245#2334C2214yescomplemented
246#2326C2212yes—
247#2324C2212yescomplemented
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2321C2214yescomplemented
253#2320C2212yescomplemented
254#2317C2212yescomplemented
255#2317C2212yescomplemented
256#2309C2212yes—
257#2309C2212yescomplemented
258#2309C2212yescomplemented
259C4×C4⋊Q8C2211yescharacteristic, complemented
260C4×#127C2211yescharacteristic, complemented
261C4×#125C2211yescharacteristic, complemented
262C4×#126C2212yescomplemented
263C4×#124C2212yescomplemented
264C4×#124C2211yescharacteristic, complemented
265C4×C22⋊Q8C2211yescharacteristic, complemented
266C4×#123C2212yescomplemented
267C4×#121C2211yescharacteristic
268C4×#121C2212yescomplemented
269C4×#121C2212yescomplemented
270#2298C2212yescomplemented
271#2295C2211yescharacteristic, complemented
272#2293C2211yescharacteristic
273#2293C2211yescharacteristic
274#2293C2211yescharacteristic
275#2293C2211yescharacteristic
276#2293C2212yescomplemented
277#2293C2212yescomplemented
278#2293C2211yescharacteristic, complemented
279#2293C2211yescharacteristic, complemented
280#2293C2211yescharacteristic, complemented
281#2293C2212yescomplemented
282#2293C2212yescomplemented
283#2293C2211yescharacteristic, complemented
284#2293C2212yescomplemented
285#2293C2212yescomplemented
286#2293C2211yescharacteristic, complemented
287C2×#390C2211yescharacteristic
288C2×#390C2211yescharacteristic
289C2×#389C2211yescharacteristic, complemented
290C2×#389C2211yescharacteristic, complemented
291#2290C2212yescomplemented
292C2×#388C2212yescomplemented
293C2×#388C2212yescomplemented
294#2285C2212yescomplemented
295#2280C2212yescomplemented
296C2×C4×C4⋊C4C2211yescharacteristic, complemented
297C2×C4×C22⋊C4C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C23×D4C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2314yes—
303C24×C4C2312yes—
304#556—28no—
305#552—48no—
306D42—28no—
307D42—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311#529—48no—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121—48no—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4—28no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×#117—48no—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#392C2314yes—
496#392C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2314yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2311yescharacteristic
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2314yes—
727#384C2314yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#383C2312yes—
732#383C2314yes—
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2314yes—
738#382C2311yescharacteristic
739#381C2314yes—
740#381C2312yes—
741#381C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#379C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2412yes—
820C25C2414yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4—24no—
824C22×D4—28no—
825C22×D4—28no—
826C22×D4—24no—
827C22×D4—42no—
828C22×D4—44no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—48no—
833C22×D4—48no—
834C22×D4—48no—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4—28no—
850C23×C4—28no—
851C23×C4—44no—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C4⋊Q8—24no—
871#127—24no—
872#127—44no—
873#126—216no—
874#126—44no—
875#126—48no—
876#126—48no—
877#126—48no—
878#125—42no—
879#125—44no—
880#125—44no—
881#125—44no—
882#125—48no—
883#124—28no—
884#124—44no—
885#124—42no—
886#124—44no—
887#124—44no—
888#124—44no—
889#123—48no—
890#123—44no—
891#123—48no—
892#123—48no—
893#123—48no—
894#123—48no—
895C22⋊Q8—28no—
896C22⋊Q8—24no—
897C22⋊Q8—28no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901#121—28no—
902#121—24no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—48no—
907#121—48no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—48no—
913#121—44no—
914#120—216no—
915#120—48no—
916#120—48no—
917C4×Q8—28no—
918C4×Q8—24no—
919C4×Q8—44no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4#4118yes—
938#117—28no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—48no—
949#117—48no—
950#117—48no—
951#117—44no—
952#117—44no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—42no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—44no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C42—24no—
1099C2×C42—28no—
1100C2×C42—24no—
1101C2×C42—24no—
1102C2×C42—42no—
1103C2×C42—42no—
1104C2×C42—42no—
1105C2×C42—42no—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—24no—
1202C24—24no—
1203C24—24no—
1204C24—24no—
1205C24—28no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24—44no—
1210C24—44no—
1211C24—44no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24C2512yes—
1216C24C2512yes—
1217C24C2514yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—416no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—816no—
1269C2×D4—816no—
1270C2×D4—832no—
1271C2×D4C2×#4114yes—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—28no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—432no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4C2×#4118yes—
1325C22×C4H(5,𝔽2)14yes—
1326C22×C4H(5,𝔽2)14yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2514yes—
1345C22×C4C2514yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—28no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4C2×#4114yes—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4C2×#4118yes—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—28no—
1493C42—24no—
1494C42—22no—
1495C42—24no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—24no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—24no—
1514C42—41no—
1515C42—41no—
1516C42—41no—
1517C42—41no—
1518C42—41no—
1519C42—41no—
1520C42—41no—
1521C42—41no—
1522C42—41no—
1523C42—41no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—44no—
1528C42—44no—
1529C42C2×#4114yes—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—24no—
1545C23—24no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—24no—
1555C23—24no—
1556C23—22no—
1557C23—24no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—48no—
1562C23—48no—
1563C23—48no—
1564C23—48no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23—88no—
1569C23—88no—
1570C23—88no—
1571C23—88no—
1572C23—88no—
1573C23—164no—
1574C23—164no—
1575C23C22×#4114yes—
1576C23C2×H(5,𝔽2)12yes—
1577C23C2×H(5,𝔽2)12yes—
1578C23#58512yes—
1579C23C2611yescharacteristic
1580Q8—48no—
1581Q8—44no—
1582D4—28no—
1583D4—48no—
1584D4—416no—
1585D4—48no—
1586D4—44no—
1587D4—48no—
1588D4—48no—
1589D4—44no—
1590D4—84no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—88no—
1595D4—164no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—28no—
1607C2×C4—28no—
1608C2×C4—216no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—48no—
1689C2×C4—88no—
1690C2×C4—84no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4C22×#4114yes—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4#58512yes—
1702C2×C4#58512yes—
1703C2×C4#58512yes—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—24no—
1711C22—24no—
1712C22—24no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—44no—
1719C22—42no—
1720C22—44no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—44no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22—42no—
1735C22—44no—
1736C22—42no—
1737C22—42no—
1738C22—816no—
1739C22—1616no—
1740C22#354614yes—
1741C22C23×#4111yescharacteristic
1742C22C22×H(5,𝔽2)11yescharacteristic
1743C22C22×H(5,𝔽2)11yescharacteristic
1744C22C2×#58511yescharacteristic
1745C22C2×#58511yescharacteristic
1746C22C2×#58511yescharacteristic
1747C22C2×#58511yescharacteristic
1748C4—22no—
1749C4—24no—
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—44no—
1759C4—41no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—44no—
1768C4—42no—
1769C4—41no—
1770C4—42no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—44no—
1775C4—42no—
1776C4#349414yes—
1777C4#351314yes—
1778C2—24no—
1779C2—44no—
1780C2—82no—
1781C2—84no—
1782C2—82no—
1783C2C2×#354611yescharacteristic
1784C2#6275911yescharacteristic
1785C2C2×#351311yescharacteristic
1786C2C2×#349411yescharacteristic
1787C2#6281011yescharacteristic
1788C2#6282711yescharacteristic
1789C2#6283011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59701C2semidirect
2. #59488C2semidirect
3. #59047C2semidirect
4. #59030C2semidirect
5. #46252C2semidirect
6. #45588C2semidirect
7. #39202C2semidirect
8. #39194C2semidirect
9. #38966C2semidirect
10. #38957C2semidirect
11. #38741C2semidirect
12. #38545C2semidirect
13. #38288C2semidirect
14. #38254C2semidirect
15. #38212C2semidirect
16. #38202C2semidirect
17. #38124C2semidirect
18. #38084C2semidirect
19. #37627C2semidirect
20. #37625C2semidirect
21. #37365C2semidirect
22. #37355C2semidirect
23. #36638C2semidirect
24. #36631C2semidirect
25. #36208C2semidirect
26. #36186C2semidirect
27. #36161C2semidirect
28. #36117C2semidirect
29. #36107C2semidirect
31. #35302C2semidirect
32. #35262C2semidirect
33. #34493C2semidirect
34. #34481C2semidirect
35. C2×#2293C2semidirect
37. C2×#552C22semidirect
40. C2×#529C22semidirect
41. C2×#529C22semidirect
44. C22×#117C22semidirect
45. #2866C22semidirect
46. #2865C22semidirect
47. #2864C22semidirect
48. #2863C22semidirect
49. #2861C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
52. #2860C22semidirect
53. #2860C22semidirect
54. #2859C22semidirect
55. #2858C22semidirect
56. #2857C22semidirect
58. #2855C22semidirect
61. #2854C22semidirect
62. #2854C22semidirect
63. #2854C22semidirect
64. #2853C22semidirect
65. #2852C22semidirect
66. #2851C22semidirect
68. #2850C22semidirect
69. #2848C22semidirect
71. #2837C22semidirect
72. #2829C22semidirect
73. #2803C22semidirect
74. #2803C22semidirect
75. #2801C22semidirect
76. #2800C22semidirect
77. #2800C22semidirect
78. #2797C22semidirect
79. #2796C22semidirect
80. #2795C22semidirect
81. #2795C22semidirect
82. #2790C22semidirect
83. #2786C22semidirect
84. #2781C22semidirect
85. #2772C22semidirect
86. #2768C22semidirect
87. #2765C22semidirect
88. #2757C22semidirect
89. #2756C22semidirect
90. #2752C22semidirect
91. #2746C22semidirect
92. #2735C22semidirect
93. #2735C22semidirect
94. #2735C22semidirect
95. #2727C22semidirect
96. #2721C22semidirect
97. #2711C22semidirect
98. #2711C22semidirect
99. #2691C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
103. #2685C22semidirect
104. #2685C22semidirect
105. #2651C22semidirect
106. #2644C22semidirect
107. #2641C22semidirect
108. #2630C22semidirect
109. #2629C22semidirect
110. #2629C22semidirect
111. #2625C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2624C22semidirect
116. #2620C22semidirect
117. #2620C22semidirect
118. #2620C22semidirect
119. #2609C22semidirect
120. #2609C22semidirect
121. #2601C22semidirect
122. #2601C22semidirect
123. #2579C22semidirect
124. #2578C22semidirect
125. #2576C22semidirect
127. #2559C22semidirect
128. #2554C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2547C22semidirect
135. #2544C22semidirect
136. #2542C22semidirect
138. #2538C22semidirect
140. #2534C22semidirect
141. #2519C22semidirect
142. #2518C22semidirect
143. #2518C22semidirect
144. #2516C22semidirect
145. #2512C22semidirect
146. #2512C22semidirect
147. #2510C22semidirect
148. #2508C22semidirect
149. #2506C22semidirect
150. #2504C22semidirect
151. #2501C22semidirect
152. #2501C22semidirect
153. #2500C22semidirect
154. #2500C22semidirect
155. #2500C22semidirect
156. #2500C22semidirect
157. #2498C22semidirect
158. #2497C22semidirect
159. #2494C22semidirect
160. #2494C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2489C22semidirect
165. #2485C22semidirect
166. #2482C22semidirect
167. #2482C22semidirect
168. #2480C22semidirect
169. #2480C22semidirect
170. #2480C22semidirect
171. #2479C22semidirect
172. #2479C22semidirect
173. #2476C22semidirect
174. #2476C22semidirect
175. #2466C22semidirect
177. #2454C22semidirect
178. #2454C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
182. #2447C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2442C22semidirect
186. #2441C22semidirect
187. #2441C22semidirect
188. #2441C22semidirect
192. #2435C22semidirect
194. #2427C22semidirect
195. #2426C22semidirect
196. #2426C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2425C22semidirect
200. #2425C22semidirect
202. #2423C22semidirect
203. #2422C22semidirect
204. #2420C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
209. #2415C22semidirect
210. #2413C22semidirect
211. #2411C22semidirect
212. #2411C22semidirect
213. #2411C22semidirect
216. #2405C22semidirect
217. #2405C22semidirect
218. #2405C22semidirect
219. #2383C22semidirect
220. #2375C22semidirect
221. #2374C22semidirect
223. #2367C22semidirect
224. #2366C22semidirect
225. #2365C22semidirect
226. #2363C22semidirect
227. #2363C22semidirect
228. #2362C22semidirect
229. #2361C22semidirect
230. #2360C22semidirect
231. #2360C22semidirect
232. #2359C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. Q8×C4⋊C4C22semidirect
237. Q8×C4⋊C4C22semidirect
239. #2347C22semidirect
240. #2342C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2334C22semidirect
247. #2324C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
252. #2321C22semidirect
253. #2320C22semidirect
254. #2317C22semidirect
255. #2317C22semidirect
257. #2309C22semidirect
258. #2309C22semidirect
259. C4×C4⋊Q8C22semidirect
260. C4×#127C22semidirect
261. C4×#125C22semidirect
262. C4×#126C22semidirect
263. C4×#124C22semidirect
264. C4×#124C22semidirect
265. C4×C22⋊Q8C22semidirect
266. C4×#123C22semidirect
268. C4×#121C22semidirect
269. C4×#121C22semidirect
270. #2298C22semidirect
271. #2295C22semidirect
276. #2293C22semidirect
277. #2293C22semidirect
278. #2293C22semidirect
279. #2293C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
289. C2×#389C22semidirect
290. C2×#389C22semidirect
291. #2290C22semidirect
292. C2×#388C22semidirect
293. C2×#388C22semidirect
294. #2285C22semidirect
295. #2280C22semidirect
296. C2×C4×C4⋊C4C22semidirect
297. C2×C4×C22⋊C4C22semidirect
298. C2×C43C22semidirect

Maximal subgroups

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

subgroupindex
#597012
#594882
#590472
#590302
#462522
#455882
#392022
#391942
#389662
#389572
#387412
#385452
#382882
#382542
#382122
#382022
#381242
#380842
#376272
#376252
#373652
#373552
#366382
#366312
#362082
#361862
#361612
#361172
#361072
D4×#1212
#353022
#352622
#344932
#344812
C2×#22932