Finite Group Databasebeta

← #7698529

Subgroups — #7698529

Order 512.

8319 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3488C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic, complemented
3#59650C213yesmaximal, complemented
4#59038C213yesmaximal, complemented
5#59028C213yesmaximal, complemented
6#52117C213yesmaximal, complemented
7#45352C213yesmaximal, complemented
8#45187C213yesmaximal, complemented
9#45084C213yesmaximal, complemented
10#44955C213yesmaximal, complemented
11#44915C213yesmaximal, complemented
12#44874C213yesmaximal, complemented
13#39437C213yesmaximal, complemented
14#38910C213yesmaximal, complemented
15#38084C213yesmaximal, complemented
16#37847C213yesmaximal, complemented
17#37751C213yesmaximal, complemented
18#37664C213yesmaximal, complemented
19#36576C211yesmaximal, characteristic, complemented
20#36430C211yesmaximal, characteristic, complemented
21#36428C211yesmaximal, characteristic, complemented
22#36082C211yesmaximal, characteristic, complemented
23#36049C211yesmaximal, characteristic, complemented
24#36005C211yesmaximal, characteristic, complemented
25#35816C211yesmaximal, characteristic, complemented
26#35801C211yesmaximal, characteristic, complemented
27#35771C211yesmaximal, characteristic, complemented
28#34294C211yesmaximal, characteristic, complemented
29#34293C211yesmaximal, characteristic, complemented
30#34258C211yesmaximal, characteristic, complemented
31#34174C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3516—216no—
35#3488—216no—
36C2×#557C2211yescharacteristic, complemented
37C2×#556C2213yescomplemented
38C2×#554C2213yescomplemented
39C2×#553C2213yescomplemented
40C2×#552C2213yescomplemented
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×D4×Q8C2211yescharacteristic, complemented
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic, complemented
48C2×#548C2211yescharacteristic, complemented
49C2×#548C2211yescharacteristic, complemented
50C2×#546C2213yes—
51C2×#546C2213yes—
52C2×D42C2213yes—
53C2×D42C2213yes—
54C2×#542C2213yescomplemented
55C2×#541C2213yescomplemented
56C2×#537C2213yes—
57C2×#535C2213yes—
58C2×#529C2213yescomplemented
59C2×#529C2213yescomplemented
60C2×#525C2213yes—
61C22×#121C2213yes—
62C2×#520C2211yescharacteristic
63C2×#520C2211yescharacteristic, complemented
64C2×#519C2211yescharacteristic, complemented
65C2×#519C2211yescharacteristic, complemented
66C2×C4×#41C2211yescharacteristic, complemented
67C22×C4×Q8C2211yescharacteristic, complemented
68#2856C2213yescomplemented
69#2850C2213yescomplemented
70#2848C2213yescomplemented
71#2711C2216yescomplemented
72#2711C2216yescomplemented
73#2701C2216yescomplemented
74#2697C2216yescomplemented
75#2696C2213yescomplemented
76#2695C2213yescomplemented
77#2694C2213yescomplemented
78#2693C2213yescomplemented
79#2692C2213yescomplemented
80#2691C2216yescomplemented
81#2691C2216yescomplemented
82#2691C2213yescomplemented
83#2690C2213yescomplemented
84#2689C2213yescomplemented
85#2688C2213yescomplemented
86#2687C2211yescharacteristic, complemented
87#2686C2213yescomplemented
88#2685C2216yescomplemented
89#2685C2216yescomplemented
90#2685C2216yescomplemented
91#2685C2213yescomplemented
92#2685C2216yescomplemented
93#2684C2213yescomplemented
94#2681C2216yescomplemented
95#2678C2216yescomplemented
96#2678C2213yescomplemented
97#2672C2216yescomplemented
98#2671C2213yescomplemented
99#2668C2213yescomplemented
100#2641C2213yescomplemented
101#2629C2213yescomplemented
102#2624C2213yescomplemented
103#2624C2213yescomplemented
104#2620C2213yescomplemented
105#2616C2213yescomplemented
106#2566C2213yescomplemented
107#2562C2213yescomplemented
108#2559C2216yescomplemented
109#2559C2216yescomplemented
110#2558C2216yescomplemented
111#2556C2216yescomplemented
112#2548C2213yescomplemented
113#2548C2213yescomplemented
114#2545C2213yescomplemented
115#2544C2213yescomplemented
116#2540C2216yescomplemented
117#2538C2213yescomplemented
118#2538C2213yescomplemented
119#2538C2213yescomplemented
120#2535C2213yescomplemented
121#2501C2213yescomplemented
122#2500C2213yescomplemented
123#2491C2213yescomplemented
124#2491C2213yescomplemented
125#2490C2213yescomplemented
126#2490C2216yescomplemented
127#2490C2213yescomplemented
128#2487C2213yescomplemented
129#2485C2213yescomplemented
130#2480C2216yescomplemented
131#2480C2216yescomplemented
132#2476C2216yescomplemented
133#2472C2216yescomplemented
134#2470C2216yescomplemented
135#2464C2216yescomplemented
136#2456C2216yescomplemented
137#2454C2213yescomplemented
138#2452C2213yescomplemented
139#2448C2213yescomplemented
140#2448C2213yescomplemented
141#2445C2213yescomplemented
142#2445C2213yescomplemented
143#2442C2213yescomplemented
144#2440C2213yescomplemented
145#2437C2216yescomplemented
146#2435C2213yescomplemented
147#2435C2216yescomplemented
148#2435C2213yescomplemented
149#2435C2213yescomplemented
150#2435C2213yescomplemented
151#2432C2213yescomplemented
152#2432C2213yescomplemented
153#2429C2213yescomplemented
154#2428C2213yescomplemented
155#2427C2213yescomplemented
156#2426C2213yescomplemented
157#2426C2213yescomplemented
158#2426C2213yescomplemented
159#2424C2216yescomplemented
160#2423C2213yescomplemented
161#2422C2213yescomplemented
162#2422C2213yescomplemented
163#2421C2213yescomplemented
164#2416C2213yescomplemented
165#2416C2213yescomplemented
166#2415C2213yescomplemented
167#2415C2213yescomplemented
168#2414C2213yescomplemented
169#2414C2213yescomplemented
170#2411C2216yescomplemented
171#2411C2216yescomplemented
172#2408C2213yescomplemented
173#2408C2213yescomplemented
174#2408C2216yescomplemented
175#2408C2213yescomplemented
176#2408C2213yescomplemented
177#2407C2213yescomplemented
178#2407C2213yescomplemented
179#2405C2216yescomplemented
180#2405C2216yescomplemented
181#2398C2213yescomplemented
182#2396C2213yescomplemented
183#2395C2213yescomplemented
184#2395C2213yescomplemented
185#2392C2213yescomplemented
186#2388C2213yescomplemented
187#2367C2213yescomplemented
188#2367C2213yescomplemented
189#2363C2213yescomplemented
190#2362C2213yescomplemented
191#2361C2213yescomplemented
192#2360C2213yescomplemented
193#2358C2216yescomplemented
194#2354C2213yescomplemented
195#2351C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197Q8×C4⋊C4C2211yescharacteristic, complemented
198Q8×C4⋊C4C2211yescharacteristic, complemented
199D4×C4⋊C4C2213yescomplemented
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2213yescomplemented
204#2341C2213yescomplemented
205#2341C2211yescharacteristic, complemented
206#2341C2211yescharacteristic, complemented
207#2341C2213yescomplemented
208#2341C2213yescomplemented
209#2341C2211yescharacteristic, complemented
210#2341C2211yescharacteristic, complemented
211#2341C2211yescharacteristic, complemented
212#2341C2211yescharacteristic, complemented
213#2341C2211yescharacteristic, complemented
214Q8×C22⋊C4C2211yescharacteristic, complemented
215Q8×C22⋊C4C2211yescharacteristic, complemented
216D4×C22⋊C4C2213yescomplemented
217D4×C22⋊C4C2213yescomplemented
218D4×C22⋊C4C2213yescomplemented
219D4×C22⋊C4C2213yescomplemented
220#2326C2213yescomplemented
221#2326C2213yescomplemented
222#2324C2213yescomplemented
223#2323C2213yescomplemented
224#2311C2213yescomplemented
225#2309C2213yescomplemented
226#2309C2213yescomplemented
227#2309C2213yescomplemented
228C4×C22⋊Q8C2213yescomplemented
229C4×#121C2213yescomplemented
230C4×#121C2213yescomplemented
231C4×#121C2213yescomplemented
232C4×#120C2213yescomplemented
233#2297C2213yescomplemented
234C2×#390C2213yescomplemented
235#2290C2213yescomplemented
236#2290C2213yescomplemented
237#2280C2213yescomplemented
238#2280C2213yescomplemented
239#2276C2211yescharacteristic, complemented
240C2×H(5,𝔽2)—28no—
241C2×H(5,𝔽2)—28no—
242C2×H(5,𝔽2)—44no—
243C22×#41—28no—
244C22×#41—28no—
245C22×#41—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2313yes—
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2311yescharacteristic
252C22×#41C2311yescharacteristic
253C23×Q8C2311yescharacteristic
254C23×Q8C2311yescharacteristic
255C23×D4C2313yes—
256C23×D4C2313yes—
257C23×D4C2313yes—
258C23×D4C2313yes—
259C23×D4C2316yes—
260C24×C4C2313yes—
261#557—28no—
262#556—224no—
263#554—224no—
264#553—224no—
265#552—224no—
266#550—28no—
267#550—28no—
268D4×Q8—28no—
269#548—28no—
270#548—28no—
271#548—28no—
272#548—44no—
273#548—44no—
274#548D4116yescomplemented
275#546—224no—
276#546—224no—
277D42—224no—
278D42—224no—
279#542—224no—
280#541—224no—
281#537—224no—
282#535—224no—
283C2×C4⋊Q8C2313yes—
284C2×C4⋊Q8C2313yes—
285C2×#127C2313yes—
286C2×#127C2313yes—
287#529—224no—
288#529—224no—
289C2×#126C2313yes—
290C2×#126C2313yes—
291C2×#126C2316yes—
292C2×#126C2316yes—
293C2×#125C2313yes—
294C2×#125C2313yes—
295C2×#125C2313yes—
296C2×#125C2316yes—
297C2×#124C2313yes—
298C2×#124C2313yes—
299C2×#124C2313yes—
300C2×#124C2313yes—
301C2×#124C2313yes—
302C2×#124C2313yes—
303C2×#124C2316yes—
304C2×#124C2313yes—
305#525—224no—
306C2×#123C2316yes—
307C2×#123C2313yes—
308C2×#123C2313yes—
309C2×#123C2313yes—
310C2×#123C2311yescharacteristic
311C2×#123C2316yes—
312C2×#123C2316yes—
313C2×C22⋊Q8C2313yes—
314C2×C22⋊Q8C2313yes—
315C2×C22⋊Q8C2313yes—
316C2×C22⋊Q8C2313yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2316yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2313yes—
323C2×C22⋊Q8C2313yes—
324C2×C22⋊Q8C2316yes—
325C2×C22⋊Q8C2313yes—
326C2×#121—224no—
327C2×#121C2313yes—
328C2×#121C2313yes—
329C2×#121C2313yes—
330C2×#121C2313yes—
331C2×#121C2313yes—
332C2×#121C2313yes—
333C2×#121C2313yes—
334C2×#121C2316yes—
335C2×#121C2313yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2316yes—
339C2×#121C2316yes—
340C2×#121C2313yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2313yes—
344C2×#121C2316yes—
345C2×#121C2313yes—
346C2×#120C2316yes—
347C2×#120C2313yes—
348C2×#120C2313yes—
349C2×#120C2316yes—
350C2×#120C2316yes—
351C2×#120C2313yes—
352#520—28no—
353#520—28no—
354#519—28no—
355#519—44no—
356C4×#41—44no—
357C2×C4×Q8—28no—
358C2×C4×Q8C2313yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2313yes—
368C2×C4×Q8C2313yes—
369C2×C4×Q8C2313yes—
370C2×C4×Q8C2313yes—
371C2×C4×Q8C2313yes—
372C2×C4×Q8C2313yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×D4C2313yes—
375C2×C4×D4C2313yes—
376C2×C4×D4C2313yes—
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2316yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2316yes—
390C2×C4×D4C2313yes—
391C2×#117C2313yes—
392C2×#117C2313yes—
393C2×#117C2313yes—
394C2×#117C2313yes—
395C2×#117C2316yes—
396C2×#117C2313yes—
397C2×#117C2313yes—
398C2×#117C2313yes—
399C22×C4⋊C4C2313yes—
400C22×C4⋊C4C2313yes—
401C22×C4⋊C4C2313yes—
402C22×C22⋊C4C2316yes—
403C22×C22⋊C4C2316yes—
404C22×C22⋊C4C2316yes—
405C22×C42C2313yes—
406C22×C42C2313yes—
407#400C2313yes—
408#400C2313yes—
409#400C2313yes—
410#400C2313yes—
411#400C2311yescharacteristic
412#399C2316yes—
413#399C2316yes—
414#399C2313yes—
415#399C2313yes—
416#399C2313yes—
417#398C2313yes—
418#398C2316yes—
419#398C2313yes—
420#398C2311yescharacteristic
421#398C2313yes—
422#398C2311yescharacteristic
423#397C2313yes—
424#397C2316yes—
425#397C2313yes—
426#397C2311yescharacteristic
427#397C2313yes—
428#397C2313yes—
429#397C2313yes—
430#397C2313yes—
431#397C2313yes—
432#397C2313yes—
433#397C2316yes—
434#396C2313yes—
435#396C2316yes—
436#396C2316yes—
437#396C2316yes—
438#396C2316yes—
439#396C2313yes—
440#396C2313yes—
441#396C2313yes—
442#396C2316yes—
443#396C2316yes—
444#395C2313yes—
445#395C2313yes—
446#394C2316yes—
447#394C2316yes—
448#394C2316yes—
449#394C2316yes—
450#394C2313yes—
451#394C2316yes—
452#394C2313yes—
453#394C2316yes—
454#394C2316yes—
455#394C2316yes—
456#394C2313yes—
457#394C2316yes—
458#394C2316yes—
459#394C2313yes—
460#394C2313yes—
461#394C2313yes—
462#394C2311yescharacteristic
463#394C2313yes—
464#394C2313yes—
465#394C2313yes—
466#394C2313yes—
467#394C2313yes—
468#394C2316yes—
469#394C2316yes—
470#394C2316yes—
471#394C2316yes—
472#394C2316yes—
473#394C2316yes—
474#394C2316yes—
475#393C2311yescharacteristic
476#393C2313yes—
477#393C2313yes—
478#393C2313yes—
479#392C2313yes—
480#392C2313yes—
481#392C2313yes—
482#392C2313yes—
483#392C2316yes—
484#392C2316yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2313yes—
489#391C2313yes—
490#391C2311yescharacteristic
491#390C2313yes—
492#390C2313yes—
493#390C2313yes—
494#390C2316yes—
495#390C2313yes—
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2316yes—
503#390C2316yes—
504#390C2313yes—
505#390C2313yes—
506#390C2316yes—
507#390C2316yes—
508#390C2313yes—
509#390C2313yes—
510#390C2316yes—
511#390C2313yes—
512#390C2313yes—
513#390C2313yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2313yes—
518#390C2316yes—
519#390C2316yes—
520#390C2316yes—
521#390C2316yes—
522#390C2313yes—
523#390C2313yes—
524#390C2313yes—
525#389C2316yes—
526#389C2313yes—
527#389C2313yes—
528#389C2313yes—
529#389C2313yes—
530#389C2313yes—
531#389C2313yes—
532#389C2313yes—
533#389C2313yes—
534#389C2313yes—
535#389C2316yes—
536#389C2313yes—
537#388C2316yes—
538#388C2316yes—
539#388C2316yes—
540#388C2316yes—
541#388C2316yes—
542#388C2313yes—
543#388C2316yes—
544#388C2316yes—
545#388C2313yes—
546#388C2316yes—
547#388C2313yes—
548#388C2316yes—
549#388C2313yes—
550#388C2316yes—
551#388C2316yes—
552#388C2316yes—
553#388C2316yes—
554#388C2313yes—
555#388C2313yes—
556#388C2311yescharacteristic
557#388C2311yescharacteristic
558#387C2313yes—
559#387C2313yes—
560#387C2313yes—
561#387C2316yes—
562#387C2313yes—
563#386C2316yes—
564#386C2316yes—
565#386C2313yes—
566#386C2313yes—
567#386C2313yes—
568#386C2313yes—
569#386C2313yes—
570#386C2316yes—
571#386C2316yes—
572#386C2313yes—
573#386C2313yes—
574#386C2313yes—
575#386C2313yes—
576#386C2313yes—
577#386C2313yes—
578#386C2313yes—
579#386C2313yes—
580#386C2316yes—
581#386C2313yes—
582#386C2311yescharacteristic
583#385C2316yes—
584#385C2316yes—
585#385C2316yes—
586#385C2313yes—
587#385C2316yes—
588#385C2316yes—
589#385C2313yes—
590#385C2316yes—
591#385C2316yes—
592#385C2313yes—
593#385C2316yes—
594#385C2313yes—
595#385C2311yescharacteristic
596#385C2313yes—
597#385C2313yes—
598#384C2313yes—
599#384C2313yes—
600#384C2313yes—
601#382C2313yes—
602#381C2311yescharacteristic
603#381C2313yes—
604#380C2313yes—
605#380C2313yes—
606#380C2313yes—
607#380C2313yes—
608#380C2313yes—
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2313yes—
615#380C2313yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#380C2313yes—
620#380C2316yes—
621#380C2313yes—
622#380C2311yescharacteristic
623#379C2313yes—
624#379C2316yes—
625#379C2313yes—
626#379C2316yes—
627#379C2316yes—
628#379C2316yes—
629#379C2313yes—
630#379C2316yes—
631#379C2316yes—
632#379C2316yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C4⋊C4C2313yes—
637C4×C4⋊C4C2313yes—
638C4×C4⋊C4C2313yes—
639C4×C4⋊C4C2313yes—
640C4×C4⋊C4C2316yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2316yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2316yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2313yes—
655C4×C22⋊C4C2316yes—
656C4×C22⋊C4C2316yes—
657#376C2313yes—
658C25C2416yes—
659C25C2413yes—
660H(5,𝔽2)—464no—
661C2×#41—24no—
662C2×#41—212no—
663C2×#41—212no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—24no—
672C2×#41—24no—
673C2×#41—212no—
674C2×#41—212no—
675C2×#41—212no—
676C2×#41—212no—
677C2×#41—46no—
678C2×#41—46no—
679C2×#41—46no—
680C2×#41—464no—
681C2×#41C2×D418yes—
682C2×#41#4118yes—
683C22×Q8—24no—
684C22×Q8—24no—
685C22×Q8—24no—
686C22×Q8—24no—
687C22×Q8—24no—
688C22×Q8C2×D418yes—
689C22×Q8C2413yes—
690C22×Q8C2411yescharacteristic
691C22×Q8C2413yes—
692C22×Q8C2413yes—
693C22×Q8C2411yescharacteristic
694C22×D4—212no—
695C22×D4—212no—
696C22×D4—212no—
697C22×D4—212no—
698C22×D4—212no—
699C22×D4—224no—
700C22×D4—212no—
701C22×D4—212no—
702C22×D4—212no—
703C22×D4—46no—
704C22×D4—46no—
705C22×D4—46no—
706C22×D4—46no—
707C22×D4—86no—
708C22×D4—86no—
709C22×D4C2413yes—
710C22×D4C2413yes—
711C22×D4C2411yescharacteristic
712C22×D4C2413yes—
713C22×D4C2413yes—
714C22×D4C2416yes—
715C22×D4C2413yes—
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2413yes—
719C22×D4C2413yes—
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2416yes—
726C22×D4C2416yes—
727C22×D4C2413yes—
728C23×C4—212no—
729C23×C4—212no—
730C23×C4—46no—
731C23×C4C2413yes—
732C23×C4C2413yes—
733C23×C4C2413yes—
734C23×C4C2413yes—
735C23×C4C2411yescharacteristic
736C23×C4C2413yes—
737C23×C4C2411yescharacteristic
738C23×C4C2413yes—
739C23×C4C2413yes—
740C23×C4C2413yes—
741C23×C4C2416yes—
742C23×C4C2416yes—
743C23×C4C2413yes—
744C23×C4C2413yes—
745C23×C4C2413yes—
746C4⋊Q8—212no—
747C4⋊Q8—212no—
748#127—212no—
749#127—212no—
750#126—224no—
751#126—212no—
752#126—212no—
753#126—224no—
754#125—212no—
755#125—224no—
756#125—212no—
757#125—212no—
758#124—212no—
759#124—212no—
760#124—212no—
761#124—212no—
762#124—46no—
763#124—46no—
764#124—86no—
765#124C2×D4124yes—
766#123—224no—
767#123—212no—
768#123—212no—
769#123—24no—
770#123—212no—
771#123—86no—
772#123—86no—
773C22⋊Q8—212no—
774C22⋊Q8—212no—
775C22⋊Q8—212no—
776C22⋊Q8—212no—
777C22⋊Q8—212no—
778C22⋊Q8—212no—
779C22⋊Q8—212no—
780C22⋊Q8—24no—
781C22⋊Q8—224no—
782C22⋊Q8—46no—
783C22⋊Q8—46no—
784C22⋊Q8—86no—
785C22⋊Q8C2×D4124yes—
786#121—212no—
787#121—212no—
788#121—212no—
789#121—212no—
790#121—212no—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—224no—
795#121—212no—
796#121—224no—
797#121—212no—
798#121—224no—
799#121—46no—
800#121—46no—
801#121—46no—
802#121—46no—
803#121—86no—
804#121C2×D4124yes—
805#120—212no—
806#120—212no—
807#120—224no—
808#120—224no—
809#120—46no—
810#120—412no—
811C4×Q8—24no—
812C4×Q8—212no—
813C4×Q8—24no—
814C4×Q8—212no—
815C4×Q8—24no—
816C4×Q8—24no—
817C4×Q8—24no—
818C4×Q8—24no—
819C4×Q8—24no—
820C4×Q8—24no—
821C4×Q8—212no—
822C4×Q8—212no—
823C4×Q8—212no—
824C4×Q8—46no—
825C4×Q8—46no—
826C4×Q8C2×D418yes—
827C4×D4—212no—
828C4×D4—212no—
829C4×D4—212no—
830C4×D4—212no—
831C4×D4—212no—
832C4×D4—212no—
833C4×D4—212no—
834C4×D4—212no—
835C4×D4—224no—
836C4×D4—212no—
837C4×D4—212no—
838C4×D4—46no—
839C4×D4—46no—
840C4×D4—46no—
841C4×D4—46no—
842C4×D4—86no—
843C4×D4C2×D4124yes—
844#117—212no—
845#117—212no—
846#117—212no—
847#117—224no—
848#117—212no—
849#117—46no—
850#117—46no—
851#117—46no—
852C2×C4⋊C4—212no—
853C2×C4⋊C4—212no—
854C2×C4⋊C4—212no—
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2413yes—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2416yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2416yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2416yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2416yes—
886C2×C4⋊C4C2416yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2416yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C22⋊C4—224no—
899C2×C22⋊C4—86no—
900C2×C22⋊C4—86no—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2416yes—
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2411yescharacteristic
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2413yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2416yes—
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2411yescharacteristic
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2416yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2416yes—
928C2×C22⋊C4C2416yes—
929C2×C22⋊C4C2416yes—
930C2×C22⋊C4C2416yes—
931C2×C22⋊C4C2411yescharacteristic
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2416yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2416yes—
942C2×C22⋊C4C2416yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2416yes—
945C2×C22⋊C4C2416yes—
946C2×C22⋊C4C2416yes—
947C2×C22⋊C4C2416yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2416yes—
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2413yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2416yes—
965C2×C22⋊C4C2416yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C42—212no—
969C2×C42—46no—
970C2×C42C2413yes—
971C2×C42C2416yes—
972C2×C42C2413yes—
973C2×C42C2413yes—
974C2×C42C2413yes—
975C2×C42C2413yes—
976C2×C42C2413yes—
977C2×C42C2413yes—
978C2×C42C2413yes—
979C2×C42C2413yes—
980C2×C42C2413yes—
981C2×C42C2413yes—
982C2×C42C2416yes—
983C2×C42C2416yes—
984C2×C42C2411yescharacteristic
985C2×C42C2413yes—
986#95C2411yescharacteristic
987#95C2413yes—
988#95C2413yes—
989#95C2413yes—
990#95C2411yescharacteristic
991#95C2411yescharacteristic
992#95C2413yes—
993#95C2411yescharacteristic
994#95C2413yes—
995#95C2413yes—
996#95C2413yes—
997#95C2411yescharacteristic
998#95C2411yescharacteristic
999#95C2411yescharacteristic
1000#95C2411yescharacteristic
1001#95C2413yes—
1002#95C2411yescharacteristic
1003#95C2411yescharacteristic
1004#95C2411yescharacteristic
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2413yes—
1013#95C2413yes—
1014#95C2416yes—
1015#95C2413yes—
1016#95C2413yes—
1017#95C2411yescharacteristic
1018#95C2413yes—
1019#95C2416yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2413yes—
1023#95C2413yes—
1024#95C2416yes—
1025C24—26no—
1026C24—212no—
1027C24—26no—
1028C24—212no—
1029C24—43no—
1030C24—43no—
1031C24—43no—
1032C24—46no—
1033C24—43no—
1034C24—43no—
1035C24—46no—
1036C24—46no—
1037C24—46no—
1038C24—46no—
1039C24C2513yes—
1040C24C2513yes—
1041C24C2511yescharacteristic
1042C24C2513yes—
1043C24C2513yes—
1044C24C2511yescharacteristic
1045#41—232no—
1046#41—232no—
1047#41—448no—
1048#41—448no—
1049#41—448no—
1050#41—416no—
1051#41—416no—
1052C2×Q8—232no—
1053C2×Q8—26no—
1054C2×Q8—22no—
1055C2×Q8—26no—
1056C2×Q8—26no—
1057C2×Q8—26no—
1058C2×Q8—22no—
1059C2×Q8—26no—
1060C2×Q8—26no—
1061C2×Q8—41no—
1062C2×Q8—43no—
1063C2×Q8—43no—
1064C2×Q8—416no—
1065C2×Q8C22×D4112yes—
1066C2×Q8C22×D414yes—
1067C2×Q8C2×#4114yes—
1068C2×Q8H(5,𝔽2)14yes—
1069C2×D4—22no—
1070C2×D4—26no—
1071C2×D4—26no—
1072C2×D4—26no—
1073C2×D4—26no—
1074C2×D4—26no—
1075C2×D4—26no—
1076C2×D4—26no—
1077C2×D4—212no—
1078C2×D4—22no—
1079C2×D4—26no—
1080C2×D4—26no—
1081C2×D4—26no—
1082C2×D4—212no—
1083C2×D4—26no—
1084C2×D4—26no—
1085C2×D4—26no—
1086C2×D4—212no—
1087C2×D4—26no—
1088C2×D4—26no—
1089C2×D4—26no—
1090C2×D4—26no—
1091C2×D4—212no—
1092C2×D4—26no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—26no—
1096C2×D4—26no—
1097C2×D4—26no—
1098C2×D4—26no—
1099C2×D4—26no—
1100C2×D4—448no—
1101C2×D4—448no—
1102C2×D4—448no—
1103C2×D4—43no—
1104C2×D4—43no—
1105C2×D4—43no—
1106C2×D4—43no—
1107C2×D4—46no—
1108C2×D4—43no—
1109C2×D4—43no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—43no—
1113C2×D4—41no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—43no—
1118C2×D4—43no—
1119C2×D4—43no—
1120C2×D4—46no—
1121C2×D4—46no—
1122C2×D4—46no—
1123C2×D4—46no—
1124C2×D4—43no—
1125C2×D4—43no—
1126C2×D4—448no—
1127C2×D4—848no—
1128C2×D4C22×D4112yes—
1129C2×D4C22×D4112yes—
1130C2×D4C2×#41112yes—
1131C22×C4—26no—
1132C22×C4—26no—
1133C22×C4—26no—
1134C22×C4—26no—
1135C22×C4—26no—
1136C22×C4—26no—
1137C22×C4—22no—
1138C22×C4—26no—
1139C22×C4—22no—
1140C22×C4—212no—
1141C22×C4—22no—
1142C22×C4—26no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—26no—
1146C22×C4—26no—
1147C22×C4—26no—
1148C22×C4—22no—
1149C22×C4—26no—
1150C22×C4—26no—
1151C22×C4—26no—
1152C22×C4—26no—
1153C22×C4—26no—
1154C22×C4—26no—
1155C22×C4—26no—
1156C22×C4—212no—
1157C22×C4—41no—
1158C22×C4—43no—
1159C22×C4—43no—
1160C22×C4—41no—
1161C22×C4—448no—
1162C22×C4—43no—
1163C22×C4—43no—
1164C22×C4—43no—
1165C22×C4—43no—
1166C22×C4—46no—
1167C22×C4—46no—
1168C22×C4—43no—
1169C22×C4—46no—
1170C22×C4—43no—
1171C22×C4—43no—
1172C22×C4—46no—
1173C22×C4—43no—
1174C22×C4C22×D4112yes—
1175C22×C4C22×D4112yes—
1176C22×C4C2×#41112yes—
1177C22×C4C2511yescharacteristic
1178C22×C4C2511yescharacteristic
1179C22×C4C2511yescharacteristic
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2513yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2513yes—
1185C22×C4C2513yes—
1186C22×C4C2513yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2513yes—
1191C22×C4C2513yes—
1192C22×C4C2513yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2513yes—
1195C22×C4C2513yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2513yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2513yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2513yes—
1202C4⋊C4—26no—
1203C4⋊C4—26no—
1204C4⋊C4—26no—
1205C4⋊C4—26no—
1206C4⋊C4—26no—
1207C4⋊C4—212no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—26no—
1211C4⋊C4—26no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—212no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—26no—
1218C4⋊C4—26no—
1219C4⋊C4—212no—
1220C4⋊C4—26no—
1221C4⋊C4—22no—
1222C4⋊C4—26no—
1223C4⋊C4—26no—
1224C4⋊C4—26no—
1225C4⋊C4—26no—
1226C4⋊C4—26no—
1227C4⋊C4—26no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—43no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—43no—
1235C4⋊C4—46no—
1236C4⋊C4—43no—
1237C4⋊C4—43no—
1238C4⋊C4—46no—
1239C4⋊C4—43no—
1240C4⋊C4—46no—
1241C4⋊C4—43no—
1242C4⋊C4—43no—
1243C4⋊C4C22×D4112yes—
1244C4⋊C4C22×D4112yes—
1245C22⋊C4—26no—
1246C22⋊C4—26no—
1247C22⋊C4—22no—
1248C22⋊C4—26no—
1249C22⋊C4—26no—
1250C22⋊C4—212no—
1251C22⋊C4—22no—
1252C22⋊C4—26no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—212no—
1256C22⋊C4—22no—
1257C22⋊C4—26no—
1258C22⋊C4—212no—
1259C22⋊C4—26no—
1260C22⋊C4—26no—
1261C22⋊C4—22no—
1262C22⋊C4—26no—
1263C22⋊C4—26no—
1264C22⋊C4—26no—
1265C22⋊C4—26no—
1266C22⋊C4—22no—
1267C22⋊C4—43no—
1268C22⋊C4—43no—
1269C22⋊C4—43no—
1270C22⋊C4—43no—
1271C22⋊C4—46no—
1272C22⋊C4—46no—
1273C22⋊C4—46no—
1274C22⋊C4—46no—
1275C22⋊C4—43no—
1276C22⋊C4—41no—
1277C22⋊C4—46no—
1278C22⋊C4—43no—
1279C22⋊C4—43no—
1280C22⋊C4—43no—
1281C22⋊C4—41no—
1282C22⋊C4—43no—
1283C22⋊C4—46no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—46no—
1291C22⋊C4—46no—
1292C22⋊C4—43no—
1293C22⋊C4—43no—
1294C22⋊C4—46no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4—43no—
1298C22⋊C4—46no—
1299C22⋊C4—46no—
1300C22⋊C4—46no—
1301C22⋊C4—43no—
1302C22⋊C4—43no—
1303C22⋊C4—43no—
1304C22⋊C4—43no—
1305C22⋊C4—43no—
1306C22⋊C4—46no—
1307C22⋊C4—43no—
1308C22⋊C4—43no—
1309C22⋊C4C22×D4124yes—
1310C22⋊C4C22×D4112yes—
1311C22⋊C4C22×D414yes—
1312C42—26no—
1313C42—26no—
1314C42—26no—
1315C42—212no—
1316C42—26no—
1317C42—26no—
1318C42—26no—
1319C42—26no—
1320C42—26no—
1321C42—26no—
1322C42—26no—
1323C42—41no—
1324C42—43no—
1325C42—46no—
1326C42—46no—
1327C42C22×D4112yes—
1328C23—21no—
1329C23—23no—
1330C23—21no—
1331C23—21no—
1332C23—23no—
1333C23—21no—
1334C23—21no—
1335C23—23no—
1336C23—23no—
1337C23—21no—
1338C23—23no—
1339C23—23no—
1340C23—23no—
1341C23—21no—
1342C23—23no—
1343C23—23no—
1344C23—23no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—23no—
1349C23—21no—
1350C23—21no—
1351C23—23no—
1352C23—23no—
1353C23—23no—
1354C23—23no—
1355C23—23no—
1356C23—23no—
1357C23—23no—
1358C23—23no—
1359C23—23no—
1360C23—23no—
1361C23—23no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—23no—
1366C23—412no—
1367C23—424no—
1368C23—412no—
1369C23—86no—
1370C23—86no—
1371C23—86no—
1372C23—812no—
1373C23—812no—
1374C23—812no—
1375C23—812no—
1376C23—86no—
1377C23—86no—
1378C23—166no—
1379C23—166no—
1380C23C23×D412yes—
1381C23C23×D416yes—
1382C23C22×#4116yes—
1383C23#58512yes—
1384C23C2611yescharacteristic
1385Q8—224no—
1386Q8—44no—
1387Q8—412no—
1388Q8—86no—
1389Q8#546116yes—
1390D4—224no—
1391D4—224no—
1392D4—412no—
1393D4—412no—
1394D4—412no—
1395D4—424no—
1396D4—412no—
1397D4—44no—
1398D4—412no—
1399D4—412no—
1400D4—412no—
1401D4—412no—
1402D4—412no—
1403D4—86no—
1404D4—812no—
1405D4—86no—
1406D4—86no—
1407D4—86no—
1408D4—812no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—23no—
1412C2×C4—21no—
1413C2×C4—23no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—21no—
1419C2×C4—224no—
1420C2×C4—224no—
1421C2×C4—224no—
1422C2×C4—21no—
1423C2×C4—23no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—23no—
1427C2×C4—21no—
1428C2×C4—23no—
1429C2×C4—23no—
1430C2×C4—23no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—23no—
1435C2×C4—23no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—23no—
1442C2×C4—23no—
1443C2×C4—23no—
1444C2×C4—23no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—23no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—23no—
1463C2×C4—23no—
1464C2×C4—23no—
1465C2×C4—23no—
1466C2×C4—23no—
1467C2×C4—23no—
1468C2×C4—21no—
1469C2×C4—23no—
1470C2×C4—23no—
1471C2×C4—21no—
1472C2×C4—23no—
1473C2×C4—23no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—412no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—412no—
1483C2×C4—412no—
1484C2×C4—412no—
1485C2×C4—412no—
1486C2×C4—86no—
1487C2×C4—812no—
1488C2×C4—812no—
1489C2×C4—86no—
1490C2×C4—86no—
1491C2×C4C23×D412yes—
1492C2×C4C23×D416yes—
1493C2×C4C23×D416yes—
1494C2×C4C23×D412yes—
1495C2×C4C23×D416yes—
1496C2×C4C22×#4112yes—
1497C2×C4C22×#4116yes—
1498C2×C4C2×H(5,𝔽2)16yes—
1499C22—22no—
1500C22—26no—
1501C22—22no—
1502C22—22no—
1503C22—26no—
1504C22—26no—
1505C22—22no—
1506C22—26no—
1507C22—22no—
1508C22—22no—
1509C22—26no—
1510C22—26no—
1511C22—43no—
1512C22—43no—
1513C22—41no—
1514C22—43no—
1515C22—41no—
1516C22—41no—
1517C22—43no—
1518C22—41no—
1519C22—43no—
1520C22—41no—
1521C22—43no—
1522C22—41no—
1523C22—43no—
1524C22—41no—
1525C22—43no—
1526C22—41no—
1527C22—43no—
1528C22—43no—
1529C22—43no—
1530C22—43no—
1531C22—43no—
1532C22—43no—
1533C22—43no—
1534C22—43no—
1535C22—43no—
1536C22—43no—
1537C22—43no—
1538C22—43no—
1539C22—43no—
1540C22—43no—
1541C22—824no—
1542C22—1624no—
1543C22C24×D411yescharacteristic
1544C22C23×#4111yescharacteristic
1545C22C22×H(5,𝔽2)11yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22H(7,𝔽2)11yescharacteristic
1548C22H(7,𝔽2)11yescharacteristic
1549C222−1+611yescharacteristic
1550C4—22no—
1551C4—26no—
1552C4—22no—
1553C4—22no—
1554C4—26no—
1555C4—41no—
1556C4—41no—
1557C4—43no—
1558C4—41no—
1559C4—43no—
1560C4—41no—
1561C4—43no—
1562C4—41no—
1563C4—43no—
1564C4—43no—
1565C4—43no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—43no—
1570C4—43no—
1571C4—41no—
1572C4—41no—
1573C4—43no—
1574C4C2×#546112yes—
1575C2—42no—
1576C2—42no—
1577C2—46no—
1578C2—46no—
1579C2—83no—
1580C2—83no—
1581C2C22×#54611yescharacteristic
1582C2#6285211yescharacteristic
1583C2#6285711yescharacteristic
1584C2#6289911yescharacteristic
1585C2#6300211yescharacteristic
1586C2#6300811yescharacteristic
1587C2#6305211yescharacteristic
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×#3488C2semidirect
2. C2×#3516C2semidirect
3. #59650C2semidirect
4. #59038C2semidirect
5. #59028C2semidirect
6. #52117C2semidirect
7. #45352C2semidirect
8. #45187C2semidirect
9. #45084C2semidirect
10. #44955C2semidirect
11. #44915C2semidirect
12. #44874C2semidirect
13. #39437C2semidirect
14. #38910C2semidirect
15. #38084C2semidirect
16. #37847C2semidirect
17. #37751C2semidirect
18. #37664C2semidirect
19. #36576C2semidirect
20. #36430C2semidirect
21. #36428C2semidirect
22. #36082C2semidirect
23. #36049C2semidirect
24. #36005C2semidirect
25. #35816C2semidirect
26. #35801C2semidirect
27. #35771C2semidirect
28. #34294C2semidirect
29. #34293C2semidirect
30. #34258C2semidirect
31. #34174C2semidirect
36. C2×#557C22semidirect
37. C2×#556C22semidirect
38. C2×#554C22semidirect
39. C2×#553C22semidirect
40. C2×#552C22semidirect
43. C2×D4×Q8C22semidirect
47. C2×#548C22semidirect
48. C2×#548C22semidirect
49. C2×#548C22semidirect
54. C2×#542C22semidirect
55. C2×#541C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
63. C2×#520C22semidirect
64. C2×#519C22semidirect
65. C2×#519C22semidirect
66. C2×C4×#41C22semidirect
67. C22×C4×Q8C22semidirect
68. #2856C22semidirect
69. #2850C22semidirect
70. #2848C22semidirect
71. #2711C22semidirect
72. #2711C22semidirect
73. #2701C22semidirect
74. #2697C22semidirect
75. #2696C22semidirect
76. #2695C22semidirect
77. #2694C22semidirect
78. #2693C22semidirect
79. #2692C22semidirect
80. #2691C22semidirect
81. #2691C22semidirect
82. #2691C22semidirect
83. #2690C22semidirect
84. #2689C22semidirect
85. #2688C22semidirect
86. #2687C22semidirect
87. #2686C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2685C22semidirect
93. #2684C22semidirect
94. #2681C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2672C22semidirect
98. #2671C22semidirect
99. #2668C22semidirect
100. #2641C22semidirect
101. #2629C22semidirect
102. #2624C22semidirect
103. #2624C22semidirect
104. #2620C22semidirect
105. #2616C22semidirect
106. #2566C22semidirect
107. #2562C22semidirect
108. #2559C22semidirect
109. #2559C22semidirect
110. #2558C22semidirect
111. #2556C22semidirect
112. #2548C22semidirect
113. #2548C22semidirect
114. #2545C22semidirect
115. #2544C22semidirect
116. #2540C22semidirect
117. #2538C22semidirect
118. #2538C22semidirect
119. #2538C22semidirect
120. #2535C22semidirect
121. #2501C22semidirect
122. #2500C22semidirect
123. #2491C22semidirect
124. #2491C22semidirect
125. #2490C22semidirect
126. #2490C22semidirect
127. #2490C22semidirect
128. #2487C22semidirect
129. #2485C22semidirect
130. #2480C22semidirect
131. #2480C22semidirect
132. #2476C22semidirect
133. #2472C22semidirect
134. #2470C22semidirect
135. #2464C22semidirect
136. #2456C22semidirect
137. #2454C22semidirect
138. #2452C22semidirect
139. #2448C22semidirect
140. #2448C22semidirect
141. #2445C22semidirect
142. #2445C22semidirect
143. #2442C22semidirect
144. #2440C22semidirect
145. #2437C22semidirect
146. #2435C22semidirect
147. #2435C22semidirect
148. #2435C22semidirect
149. #2435C22semidirect
150. #2435C22semidirect
151. #2432C22semidirect
152. #2432C22semidirect
153. #2429C22semidirect
154. #2428C22semidirect
155. #2427C22semidirect
156. #2426C22semidirect
157. #2426C22semidirect
158. #2426C22semidirect
159. #2424C22semidirect
160. #2423C22semidirect
161. #2422C22semidirect
162. #2422C22semidirect
163. #2421C22semidirect
164. #2416C22semidirect
165. #2416C22semidirect
166. #2415C22semidirect
167. #2415C22semidirect
168. #2414C22semidirect
169. #2414C22semidirect
170. #2411C22semidirect
171. #2411C22semidirect
172. #2408C22semidirect
173. #2408C22semidirect
174. #2408C22semidirect
175. #2408C22semidirect
176. #2408C22semidirect
177. #2407C22semidirect
178. #2407C22semidirect
179. #2405C22semidirect
180. #2405C22semidirect
181. #2398C22semidirect
182. #2396C22semidirect
183. #2395C22semidirect
184. #2395C22semidirect
185. #2392C22semidirect
186. #2388C22semidirect
187. #2367C22semidirect
188. #2367C22semidirect
189. #2363C22semidirect
190. #2362C22semidirect
191. #2361C22semidirect
192. #2360C22semidirect
193. #2358C22semidirect
194. #2354C22semidirect
195. #2351C22semidirect
196. Q8×C4⋊C4C22semidirect
197. Q8×C4⋊C4C22semidirect
198. Q8×C4⋊C4C22semidirect
199. D4×C4⋊C4C22semidirect
203. #2341C22semidirect
204. #2341C22semidirect
205. #2341C22semidirect
206. #2341C22semidirect
207. #2341C22semidirect
208. #2341C22semidirect
209. #2341C22semidirect
210. #2341C22semidirect
211. #2341C22semidirect
212. #2341C22semidirect
213. #2341C22semidirect
214. Q8×C22⋊C4C22semidirect
215. Q8×C22⋊C4C22semidirect
216. D4×C22⋊C4C22semidirect
217. D4×C22⋊C4C22semidirect
218. D4×C22⋊C4C22semidirect
219. D4×C22⋊C4C22semidirect
220. #2326C22semidirect
221. #2326C22semidirect
222. #2324C22semidirect
223. #2323C22semidirect
224. #2311C22semidirect
225. #2309C22semidirect
226. #2309C22semidirect
227. #2309C22semidirect
228. C4×C22⋊Q8C22semidirect
229. C4×#121C22semidirect
230. C4×#121C22semidirect
231. C4×#121C22semidirect
232. C4×#120C22semidirect
233. #2297C22semidirect
234. C2×#390C22semidirect
235. #2290C22semidirect
236. #2290C22semidirect
237. #2280C22semidirect
238. #2280C22semidirect
239. #2276C22semidirect
274. #548D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34882
C2×#35162
#596502
#590382
#590282
#521172
#453522
#451872
#450842
#449552
#449152
#448742
#394372
#389102
#380842
#378472
#377512
#376642
#365762
#364302
#364282
#360822
#360492
#360052
#358162
#358012
#357712
#342942
#342932
#342582
#341742