Finite Group Databasebeta

← #7650761

Subgroups — #7650761

Order 512.

5287 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42752C212yesmaximal, complemented
2#42726C212yesmaximal, complemented
3#42726C212yesmaximal, complemented
4#42633C212yesmaximal, complemented
5#42633C212yesmaximal, complemented
6#42620C212yesmaximal, complemented
7#42570C212yesmaximal, complemented
8#42541C212yesmaximal, complemented
9#41395C214yesmaximal, complemented
10#40565C214yesmaximal, complemented
11#40198C212yesmaximal, complemented
12#40175C212yesmaximal, complemented
13#40092C212yesmaximal, complemented
14#40046C212yesmaximal, complemented
15#39664C212yesmaximal, complemented
16#39664C212yesmaximal, complemented
17#39028C212yesmaximal, complemented
18#39028C212yesmaximal, complemented
19#38388C214yesmaximal, complemented
20#37851C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic, complemented
23#35634C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic, complemented
25#35585C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35307C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic, complemented
29#35223C211yesmaximal, characteristic, complemented
30#34935C211yesmaximal, characteristic, complemented
31#34737C211yesmaximal, characteristic, complemented
32C2×#2417C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34178C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#519C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×#117C2211yescharacteristic
50C23×C4⋊C4C2211yescharacteristic
51#2855C2212yescomplemented
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2847C2214yes—
56#2836C2214yescomplemented
57#2836C2214yescomplemented
58#2836C2214yescomplemented
59#2829C2214yescomplemented
60#2800C2214yescomplemented
61#2800C2214yescomplemented
62#2791C2214yescomplemented
63#2791C2214yescomplemented
64#2791C2214yescomplemented
65#2791C2214yescomplemented
66#2786C2214yescomplemented
67#2786C2214yescomplemented
68#2780C2214yescomplemented
69#2780C2214yescomplemented
70#2761C2214yescomplemented
71#2761C2214yescomplemented
72#2748C2214yes—
73#2748C2214yescomplemented
74#2748C2214yescomplemented
75#2743C2214yes—
76#2743C2214yescomplemented
77#2743C2214yescomplemented
78#2741C2214yes—
79#2741C2214yescomplemented
80#2741C2214yescomplemented
81#2740C2214yes—
82#2740C2214yescomplemented
83#2740C2214yescomplemented
84#2740C2214yescomplemented
85#2740C2214yescomplemented
86#2707C2214yescomplemented
87#2707C2214yescomplemented
88#2703C2214yes—
89#2699C2214yes—
90#2688C2214yes—
91#2671C2214yes—
92#2667C2214yescomplemented
93#2667C2214yescomplemented
94#2667C2214yescomplemented
95#2654C2214yescomplemented
96#2654C2214yescomplemented
97#2654C2214yescomplemented
98#2648C2214yes—
99#2648C2214yes—
100#2648C2214yescomplemented
101#2630C2214yescomplemented
102#2629C2214yescomplemented
103#2625C2212yescomplemented
104#2625C2212yescomplemented
105#2625C2212yescomplemented
106#2624C2212yescomplemented
107#2624C2214yescomplemented
108#2618C2214yes—
109#2569C2214yes—
110#2542C2212yescomplemented
111#2542C2212yescomplemented
112#2542C2212yescomplemented
113#2542C2212yescomplemented
114#2540C2212yescomplemented
115#2540C2212yescomplemented
116#2540C2212yescomplemented
117#2540C2212yescomplemented
118#2539C2214yes—
119#2538C2211yescharacteristic
120#2538C2211yescharacteristic
121#2538C2212yescomplemented
122#2538C2212yescomplemented
123#2537C2211yescharacteristic
124#2537C2211yescharacteristic
125#2536C2211yescharacteristic
126#2536C2211yescharacteristic
127#2536C2212yescomplemented
128#2536C2212yescomplemented
129#2535C2211yescharacteristic
130#2535C2211yescharacteristic
131#2534C2214yes—
132#2534C2212yes—
133#2534C2212yes—
134#2522C2214yescomplemented
135#2522C2214yescomplemented
136#2522C2214yescomplemented
137#2509C2212yescomplemented
138#2509C2212yescomplemented
139#2508C2212yescomplemented
140#2508C2212yescomplemented
141#2507C2212yescomplemented
142#2507C2212yescomplemented
143#2506C2212yescomplemented
144#2506C2212yescomplemented
145#2501C2214yes—
146#2498C2214yes—
147#2498C2214yes—
148#2498C2214yes—
149#2497C2214yescomplemented
150#2497C2214yescomplemented
151#2490C2214yescomplemented
152#2487C2212yescomplemented
153#2487C2212yescomplemented
154#2486C2214yes—
155#2486C2212yes—
156#2486C2212yescomplemented
157#2486C2212yescomplemented
158#2485C2212yescomplemented
159#2485C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2476C2214yes—
163#2476C2214yes—
164#2471C2214yes—
165#2471C2214yes—
166#2457C2214yescomplemented
167#2448C2212yescomplemented
168#2448C2212yescomplemented
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2446C2212yescomplemented
172#2446C2212yescomplemented
173#2446C2212yescomplemented
174#2446C2212yescomplemented
175#2442C2214yes—
176#2429C2212yescomplemented
177#2429C2212yescomplemented
178#2429C2212yescomplemented
179#2429C2212yescomplemented
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2426C2212yescomplemented
183#2426C2212yescomplemented
184#2423C2212yescomplemented
185#2423C2212yescomplemented
186#2423C2212yescomplemented
187#2422C2212yescomplemented
188#2421C2212yescomplemented
189#2421C2212yescomplemented
190#2421C2212yescomplemented
191#2420C2214yescomplemented
192#2420C2212yescomplemented
193#2419C2214yes—
194#2419C2214yes—
195#2419C2214yes—
196#2418C2214yes—
197#2417C2212yes—
198#2417C2212yes—
199#2417C2212yes—
200#2417C2212yes—
201#2417C2212yes—
202#2417C2212yes—
203#2417C2212yes—
204#2417C2212yes—
205#2417C2211yescharacteristic
206#2417C2211yescharacteristic
207#2417C2212yescomplemented
208#2417C2212yescomplemented
209#2417C2212yescomplemented
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2416C2211yescharacteristic
214#2416C2211yescharacteristic
215#2416C2212yescomplemented
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2416C2212yescomplemented
219#2415C2211yescharacteristic
220#2415C2211yescharacteristic
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2414C2211yescharacteristic
224#2414C2211yescharacteristic
225#2413C2214yes—
226#2413C2212yes—
227#2412C2212yes—
228#2412C2214yes—
229#2411C2214yes—
230#2411C2212yes—
231#2410C2212yes—
232#2408C2212yes—
233#2392C2212yes—
234#2392C2212yes—
235#2392C2212yes—
236#2392C2212yes—
237C2×#398C2212yes—
238C2×#396C2212yes—
239#2364C2214yes—
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2362C2212yescomplemented
244#2361C2214yes—
245#2361C2212yescomplemented
246#2360C2212yescomplemented
247#2360C2212yescomplemented
248#2360C2212yescomplemented
249#2345C2212yescomplemented
250#2345C2212yescomplemented
251#2345C2212yescomplemented
252#2345C2212yescomplemented
253#2344C2214yes—
254#2344C2212yescomplemented
255#2344C2212yescomplemented
256#2344C2212yescomplemented
257#2344C2212yescomplemented
258#2342C2214yes—
259#2333C2214yes—
260#2333C2214yes—
261#2324C2212yescomplemented
262#2324C2214yescomplemented
263#2323C2212yescomplemented
264#2323C2212yescomplemented
265#2323C2212yescomplemented
266#2317C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2211yescharacteristic
271#2314C2214yescomplemented
272#2313C2214yes—
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2310C2211yescharacteristic
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yescomplemented
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#386C2212yes—
290#2285C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2214yes—
295C2×#380C2211yescharacteristic
296C2×#380C2212yes—
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305C24×C4C2312yes—
306#537—28no—
307#536—44no—
308#536—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314#525—44no—
315#525—44no—
316#525—44no—
317#525—44no—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8—28no—
327C2×C22⋊Q8—44no—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#120C2312yes—
368C2×#120C2312yes—
369C2×#120C2312yes—
370C2×#120C2312yes—
371#520—44no—
372#519—44no—
373C4×#41—44no—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×D4—44no—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×#117—44no—
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2314yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2314yes—
421C22×C4⋊C4—28no—
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2311yescharacteristic
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2312yes—
443C22×C42C2311yescharacteristic
444C22×C42C2312yes—
445C22×C42C2312yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2312yes—
488#398C2312yes—
489#398C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2312yes—
506#397C2312yes—
507#397C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2312yes—
518#396C2312yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2312yes—
525#396C2312yes—
526#396C2312yes—
527#396C2312yes—
528#396C2314yes—
529#396C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#392C2314yes—
553#392C2312yes—
554#392C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2311yescharacteristic
566#391C2312yes—
567#391C2312yes—
568#391C2311yescharacteristic
569#391C2312yes—
570#391C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#384C2314yes—
727#384C2312yes—
728#384C2314yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#382C2314yes—
732#382C2312yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#381C2314yes—
736#381C2312yes—
737#381C2312yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2312yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#379C2312yes—
788#379C2312yes—
789#379C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C25C2411yescharacteristic
826C25C2411yescharacteristic
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C22×Q8—24no—
834C22×Q8—24no—
835C22×Q8—24no—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×D4—24no—
841C22×D4—42no—
842C22×D4—42no—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C23×C4—24no—
861C23×C4—24no—
862C23×C4—24no—
863C23×C4—24no—
864C23×C4—24no—
865C23×C4—24no—
866C23×C4—28no—
867C23×C4—44no—
868C23×C4—82no—
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C4⋊Q8—44no—
896C4⋊Q8—44no—
897#125—84no—
898#124—44no—
899#124—44no—
900#123—44no—
901#123—44no—
902#123—44no—
903#123—44no—
904#123—48no—
905#123—48no—
906#123—84no—
907#123—84no—
908C22⋊Q8—28no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—42no—
919C22⋊Q8—42no—
920C22⋊Q8—42no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—42no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—28no—
931#121—28no—
932#121—216no—
933#121—28no—
934#121—28no—
935#121—44no—
936#121—44no—
937#121—42no—
938#121—42no—
939#121—42no—
940#121—42no—
941#121—42no—
942#121—42no—
943#121—42no—
944#121—42no—
945#121—48no—
946#121—84no—
947#120—44no—
948#120—44no—
949#120—44no—
950#120—44no—
951C4×Q8—42no—
952C4×Q8—42no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—42no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—84no—
981#117—24no—
982#117—24no—
983#117—24no—
984#117—24no—
985#117—24no—
986#117—24no—
987#117—44no—
988#117—44no—
989#117—44no—
990#117—48no—
991#117—48no—
992#117—42no—
993#117—42no—
994#117—44no—
995#117—84no—
996C2×C4⋊C4—28no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—28no—
999C2×C4⋊C4—24no—
1000C2×C4⋊C4—28no—
1001C2×C4⋊C4—28no—
1002C2×C4⋊C4—28no—
1003C2×C4⋊C4—28no—
1004C2×C4⋊C4—42no—
1005C2×C4⋊C4—42no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4—42no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—82no—
1010C2×C4⋊C4#4118yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C22⋊C4—28no—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—42no—
1083C2×C22⋊C4—44no—
1084C2×C22⋊C4—82no—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C42—24no—
1155C2×C42—44no—
1156C2×C42—44no—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234C24—22no—
1235C24—22no—
1236C24—22no—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24C2511yescharacteristic
1249C24C2512yes—
1250C24C2512yes—
1251C24C2511yescharacteristic
1252C24C2511yescharacteristic
1253C24C2511yescharacteristic
1254C24C2511yescharacteristic
1255#41—416no—
1256#41—416no—
1257C2×Q8—24no—
1258C2×Q8—24no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—22no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—24no—
1268C2×Q8—22no—
1269C2×Q8—416no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—28no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—416no—
1321C2×D42−1+414yes—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—28no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—28no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—28no—
1370C22×C4—24no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—41no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—416no—
1397C22×C4—416no—
1398C22×C4—816no—
1399C22×C4C2×#4118yes—
1400C22×C4C2×#4114yes—
1401C22×C4H(5,𝔽2)14yes—
1402C22×C4H(5,𝔽2)14yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2514yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2514yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4C2×#4118yes—
1498C4⋊C4C2×#4118yes—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—24no—
1573C42—24no—
1574C42—24no—
1575C42—24no—
1576C42—24no—
1577C42—24no—
1578C42—42no—
1579C42—42no—
1580C42—42no—
1581C42—42no—
1582C42—44no—
1583C42—44no—
1584C42—44no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—28no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—22no—
1618C23—21no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—21no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—21no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—44no—
1638C23—44no—
1639C23—44no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—82no—
1644C23—82no—
1645C23—82no—
1646C23C22×#4112yes—
1647C23C2×H(5,𝔽2)12yes—
1648C23C2×H(5,𝔽2)12yes—
1649C23C2×2−1+412yes—
1650C23C2×2−1+412yes—
1651C23#58512yes—
1652C23C2611yescharacteristic
1653Q8—48no—
1654Q8—48no—
1655Q8—44no—
1656Q8—44no—
1657D4—44no—
1658D4—44no—
1659D4—44no—
1660D4—44no—
1661D4—48no—
1662D4—48no—
1663D4—44no—
1664D4—44no—
1665D4—88no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—48no—
1751C2×C4—416no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—84no—
1767C2×C4—88no—
1768C2×C4—82no—
1769C2×C4—84no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—84no—
1774C2×C4—164no—
1775C2×C4#540116yes—
1776C2×C4C22×#4118yes—
1777C2×C4C22×#4112yes—
1778C2×C4C22×#4112yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×2−1+412yes—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—416no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—42no—
1819C22—41no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—41no—
1826C22—42no—
1827C22—41no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—88no—
1834C22C2×#54014yes—
1835C22C23×#4111yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C22×2−1+411yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22H(7,𝔽2)11yescharacteristic
1841C222−1+611yescharacteristic
1842C4—28no—
1843C4—22no—
1844C4—44no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4—41no—
1849C4—41no—
1850C4—44no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—42no—
1862C4—42no—
1863C4—44no—
1864C4—42no—
1865C4—42no—
1866C4—42no—
1867C4—42no—
1868C4C2×#54014yes—
1869C4C2×#54014yes—
1870C2—24no—
1871C2—42no—
1872C2—42no—
1873C2—42no—
1874C2—82no—
1875C2—82no—
1876C2—81no—
1877C2C22×#54011yescharacteristic
1878C2#6281911yescharacteristic
1879C2#6287511yescharacteristic
1880C2#6292711yescharacteristic
1881C2#6294411yescharacteristic
1882C2#6299011yescharacteristic
1883C2#6299811yescharacteristic
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. #42752C2semidirect
2. #42726C2semidirect
3. #42726C2semidirect
4. #42633C2semidirect
5. #42633C2semidirect
6. #42620C2semidirect
7. #42570C2semidirect
8. #42541C2semidirect
9. #41395C2semidirect
10. #40565C2semidirect
11. #40198C2semidirect
12. #40175C2semidirect
13. #40092C2semidirect
14. #40046C2semidirect
15. #39664C2semidirect
16. #39664C2semidirect
17. #39028C2semidirect
18. #39028C2semidirect
19. #38388C2semidirect
20. #37851C2semidirect
21. #35673C2semidirect
22. #35661C2semidirect
23. #35634C2semidirect
24. #35633C2semidirect
25. #35585C2semidirect
26. #35516C2semidirect
27. #35307C2semidirect
28. #35263C2semidirect
29. #35223C2semidirect
30. #34935C2semidirect
31. #34737C2semidirect
32. C2×#2417C2semidirect
33. #34267C2semidirect
34. #34203C2semidirect
35. #34178C2semidirect
51. #2855C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
56. #2836C22semidirect
57. #2836C22semidirect
58. #2836C22semidirect
59. #2829C22semidirect
60. #2800C22semidirect
61. #2800C22semidirect
62. #2791C22semidirect
63. #2791C22semidirect
64. #2791C22semidirect
65. #2791C22semidirect
66. #2786C22semidirect
67. #2786C22semidirect
68. #2780C22semidirect
69. #2780C22semidirect
70. #2761C22semidirect
71. #2761C22semidirect
73. #2748C22semidirect
74. #2748C22semidirect
76. #2743C22semidirect
77. #2743C22semidirect
79. #2741C22semidirect
80. #2741C22semidirect
82. #2740C22semidirect
83. #2740C22semidirect
84. #2740C22semidirect
85. #2740C22semidirect
86. #2707C22semidirect
87. #2707C22semidirect
92. #2667C22semidirect
93. #2667C22semidirect
94. #2667C22semidirect
95. #2654C22semidirect
96. #2654C22semidirect
97. #2654C22semidirect
100. #2648C22semidirect
101. #2630C22semidirect
102. #2629C22semidirect
103. #2625C22semidirect
104. #2625C22semidirect
105. #2625C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
110. #2542C22semidirect
111. #2542C22semidirect
112. #2542C22semidirect
113. #2542C22semidirect
114. #2540C22semidirect
115. #2540C22semidirect
116. #2540C22semidirect
117. #2540C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
127. #2536C22semidirect
128. #2536C22semidirect
134. #2522C22semidirect
135. #2522C22semidirect
136. #2522C22semidirect
137. #2509C22semidirect
138. #2509C22semidirect
139. #2508C22semidirect
140. #2508C22semidirect
141. #2507C22semidirect
142. #2507C22semidirect
143. #2506C22semidirect
144. #2506C22semidirect
149. #2497C22semidirect
150. #2497C22semidirect
151. #2490C22semidirect
152. #2487C22semidirect
153. #2487C22semidirect
156. #2486C22semidirect
157. #2486C22semidirect
158. #2485C22semidirect
159. #2485C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
166. #2457C22semidirect
167. #2448C22semidirect
168. #2448C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
171. #2446C22semidirect
172. #2446C22semidirect
173. #2446C22semidirect
174. #2446C22semidirect
176. #2429C22semidirect
177. #2429C22semidirect
178. #2429C22semidirect
179. #2429C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
184. #2423C22semidirect
185. #2423C22semidirect
186. #2423C22semidirect
187. #2422C22semidirect
188. #2421C22semidirect
189. #2421C22semidirect
190. #2421C22semidirect
191. #2420C22semidirect
192. #2420C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2416C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2362C22semidirect
245. #2361C22semidirect
246. #2360C22semidirect
247. #2360C22semidirect
248. #2360C22semidirect
249. #2345C22semidirect
250. #2345C22semidirect
251. #2345C22semidirect
252. #2345C22semidirect
254. #2344C22semidirect
255. #2344C22semidirect
256. #2344C22semidirect
257. #2344C22semidirect
261. #2324C22semidirect
262. #2324C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
265. #2323C22semidirect
271. #2314C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
284. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#427522
#427262
#426332
#426202
#425702
#425412
#413952
#405652
#401982
#401752
#400922
#400462
#396642
#390282
#383882
#378512
#356732
#356612
#356342
#356332
#355852
#355162
#353072
#352632
#352232
#349352
#347372
C2×#24172
#342672
#342032
#341782