Finite Group Databasebeta

← #7688957

Subgroups — #7688957

Order 512.

8861 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3488C211yesmaximal, characteristic, complemented
2C2×#3517C211yesmaximal, characteristic, complemented
3#59812C213yesmaximal, complemented
4#59808C213yesmaximal, complemented
5#59412C213yesmaximal, complemented
6#59099C213yesmaximal, complemented
7#59028C213yesmaximal, complemented
8#44881C213yesmaximal, complemented
9#44876C213yesmaximal, complemented
10#44872C213yesmaximal, complemented
11#44869C213yesmaximal, complemented
12#39436C213yesmaximal, complemented
13#39416C213yesmaximal, complemented
14#38034C213yesmaximal, complemented
15#37846C213yesmaximal, complemented
16#36467C211yesmaximal, characteristic, complemented
17#36455C211yesmaximal, characteristic, complemented
18#36433C211yesmaximal, characteristic, complemented
19#36430C211yesmaximal, characteristic, complemented
20#36429C211yesmaximal, characteristic, complemented
21#36362C213yesmaximal, complemented
22#36123C213yesmaximal, complemented
23#36091C211yesmaximal, characteristic, complemented
24#35996C211yesmaximal, characteristic, complemented
25#35831C211yesmaximal, characteristic, complemented
26#35816C211yesmaximal, characteristic, complemented
27#34829C213yesmaximal, complemented
28#34313C211yesmaximal, characteristic, complemented
29#34258C211yesmaximal, characteristic, complemented
30C4×#550C211yesmaximal, characteristic, complemented
31C22⋊C4×#41C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3517—216no—
35#3488—216no—
36C2×#557C2211yescharacteristic, complemented
37C2×#553C2213yescomplemented
38C2×#553C2213yescomplemented
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2213yescomplemented
43C2×#550C2211yescharacteristic, complemented
44C2×#550C2211yescharacteristic, complemented
45C2×#550C2211yescharacteristic, complemented
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic, complemented
49C2×#547C2213yescomplemented
50C2×#546C2213yes—
51C2×#546C2213yes—
52C2×#546C2216yescomplemented
53C2×D42C2213yes—
54C2×D42C2213yes—
55C2×#540C2213yescomplemented
56C2×#540C2213yescomplemented
57C2×#537C2213yes—
58C2×#535C2213yes—
59C2×#532C2213yescomplemented
60C2×#529C2213yescomplemented
61C2×#525C2213yes—
62C22×#121C2213yes—
63C2×#520C2211yescharacteristic
64C2×#520C2211yescharacteristic, complemented
65C2×#520C2211yescharacteristic, complemented
66C2×C4×#41C2211yescharacteristic, complemented
67C2×C4×#41C2211yescharacteristic, complemented
68C2×C4×#41C2211yescharacteristic, complemented
69#2861C2213yescomplemented
70#2856C2213yescomplemented
71#2854C2213yescomplemented
72#2850C2213yescomplemented
73#2847C2213yescomplemented
74#2708C2216yescomplemented
75#2703C2216yescomplemented
76#2701C2216yescomplemented
77#2699C2216yescomplemented
78#2697C2216yescomplemented
79#2688C2216yescomplemented
80#2688C2216yescomplemented
81#2687C2216yescomplemented
82#2681C2216yescomplemented
83#2678C2216yescomplemented
84#2678C2216yescomplemented
85#2678C2216yescomplemented
86#2678C2216yescomplemented
87#2668C2216yescomplemented
88#2629C2213yescomplemented
89#2625C2213yescomplemented
90#2620C2213yescomplemented
91#2615C2213yescomplemented
92#2592C2213yescomplemented
93#2566C2213yescomplemented
94#2562C2213yescomplemented
95#2560C2213yescomplemented
96#2559C2213yescomplemented
97#2558C2213yescomplemented
98#2557C2213yescomplemented
99#2556C2211yescharacteristic, complemented
100#2555C2213yescomplemented
101#2554C2213yescomplemented
102#2554C2216yescomplemented
103#2553C2213yescomplemented
104#2549C2213yescomplemented
105#2544C2213yescomplemented
106#2544C2213yescomplemented
107#2543C2216yescomplemented
108#2543C2213yescomplemented
109#2541C2213yescomplemented
110#2539C2213yescomplemented
111#2538C2213yescomplemented
112#2537C2213yescomplemented
113#2537C2213yescomplemented
114#2535C2216yescomplemented
115#2535C2213yescomplemented
116#2534C2213yescomplemented
117#2534C2216yescomplemented
118#2502C2213yescomplemented
119#2500C2213yescomplemented
120#2492C2213yescomplemented
121#2491C2213yescomplemented
122#2490C2213yescomplemented
123#2489C2213yescomplemented
124#2488C2213yescomplemented
125#2486C2213yescomplemented
126#2485C2213yescomplemented
127#2480C2216yescomplemented
128#2472C2213yescomplemented
129#2472C2216yescomplemented
130#2464C2216yescomplemented
131#2464C2216yescomplemented
132#2464C2216yescomplemented
133#2457C2216yescomplemented
134#2454C2213yescomplemented
135#2452C2213yescomplemented
136#2447C2213yescomplemented
137#2447C2213yescomplemented
138#2445C2213yescomplemented
139#2445C2213yescomplemented
140#2442C2213yescomplemented
141#2440C2213yescomplemented
142#2433C2213yescomplemented
143#2433C2213yescomplemented
144#2433C2213yescomplemented
145#2433C2213yescomplemented
146#2431C2213yescomplemented
147#2431C2213yescomplemented
148#2430C2216yescomplemented
149#2428C2213yescomplemented
150#2428C2213yescomplemented
151#2428C2213yescomplemented
152#2428C2213yescomplemented
153#2427C2213yescomplemented
154#2427C2213yescomplemented
155#2425C2213yescomplemented
156#2424C2216yescomplemented
157#2424C2216yescomplemented
158#2424C2213yescomplemented
159#2422C2213yescomplemented
160#2422C2213yescomplemented
161#2422C2213yescomplemented
162#2420C2213yescomplemented
163#2417C2213yescomplemented
164#2416C2213yescomplemented
165#2415C2213yescomplemented
166#2414C2213yescomplemented
167#2414C2213yescomplemented
168#2414C2213yescomplemented
169#2410C2216yescomplemented
170#2408C2216yescomplemented
171#2408C2213yescomplemented
172#2408C2213yescomplemented
173#2408C2213yescomplemented
174#2408C2213yescomplemented
175#2407C2216yescomplemented
176#2407C2213yescomplemented
177#2407C2213yescomplemented
178#2405C2216yescomplemented
179#2404C2216yescomplemented
180#2396C2213yescomplemented
181#2395C2213yescomplemented
182#2392C2213yescomplemented
183#2388C2213yescomplemented
184#2366C2213yescomplemented
185#2366C2213yescomplemented
186#2363C2213yescomplemented
187#2363C2213yescomplemented
188#2361C2213yescomplemented
189#2361C2213yescomplemented
190#2358C2216yescomplemented
191#2358C2216yescomplemented
192#2354C2213yescomplemented
193#2351C2211yescharacteristic, complemented
194Q8×C4⋊C4C2211yescharacteristic, complemented
195Q8×C4⋊C4C2211yescharacteristic, complemented
196Q8×C4⋊C4C2211yescharacteristic, complemented
197D4×C4⋊C4C2213yescomplemented
198#2341C2211yescharacteristic
199#2341C2211yescharacteristic
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic, complemented
202#2341C2211yescharacteristic, complemented
203#2341C2211yescharacteristic, complemented
204#2341C2211yescharacteristic, complemented
205#2341C2211yescharacteristic, complemented
206#2341C2211yescharacteristic, complemented
207Q8×C22⋊C4C2211yescharacteristic, complemented
208Q8×C22⋊C4C2211yescharacteristic, complemented
209Q8×C22⋊C4C2211yescharacteristic, complemented
210#2339C2213yescomplemented
211#2339C2213yescomplemented
212D4×C22⋊C4C2213yescomplemented
213D4×C22⋊C4C2213yescomplemented
214D4×C22⋊C4C2213yescomplemented
215D4×C22⋊C4C2213yescomplemented
216D4×C22⋊C4C2213yescomplemented
217D4×C22⋊C4C2213yescomplemented
218#2324C2213yescomplemented
219#2324C2213yescomplemented
220#2311C2213yescomplemented
221#2309C2213yescomplemented
222C4×#127C2213yescomplemented
223C4×#127C2213yescomplemented
224C4×#124C2213yescomplemented
225C4×#123C2213yescomplemented
226C4×#121C2213yescomplemented
227C4×#121C2213yescomplemented
228C4×#121C2213yescomplemented
229C4×#121C2213yescomplemented
230C4×#120C2213yescomplemented
231#2297C2213yescomplemented
232#2297C2213yescomplemented
233#2297C2213yescomplemented
234#2293C2213yescomplemented
235C2×#390C2213yescomplemented
236#2280C2213yescomplemented
237C42×Q8C2211yescharacteristic, complemented
238C42×D4C2213yescomplemented
239C2×C4×C22⋊C4C2213yescomplemented
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
253C22×#41C2311yescharacteristic
254C22×#41C2316yes—
255C23×Q8C2311yescharacteristic
256C23×D4C2313yes—
257C23×D4C2313yes—
258C23×D4C2313yes—
259C23×D4C2313yes—
260C23×D4C2316yes—
261C24×C4C2313yes—
262#557—28no—
263#553—224no—
264#553—224no—
265#550—28no—
266#550—28no—
267#550—28no—
268#550—28no—
269#550—224no—
270#550—44no—
271#550D4116yescomplemented
272#548—28no—
273#548—28no—
274#548—44no—
275#547—224no—
276#546—224no—
277#546—224no—
278#546—424no—
279D42—224no—
280D42—224no—
281#540—224no—
282#540—224no—
283#537—224no—
284#535—224no—
285#532—224no—
286C2×C4⋊Q8C2313yes—
287C2×#127C2313yes—
288C2×#127C2313yes—
289C2×#127C2313yes—
290C2×#127C2313yes—
291C2×#127C2313yes—
292C2×#127C2313yes—
293#529—224no—
294C2×#126C2313yes—
295C2×#126C2313yes—
296C2×#125C2313yes—
297C2×#125C2311yescharacteristic
298C2×#125C2313yes—
299C2×#124C2313yes—
300C2×#124C2313yes—
301C2×#124C2313yes—
302C2×#124C2313yes—
303C2×#124C2313yes—
304#525—224no—
305C2×#123C2316yes—
306C2×#123C2313yes—
307C2×#123C2313yes—
308C2×#123C2313yes—
309C2×#123C2313yes—
310C2×#123C2316yes—
311C2×#123C2316yes—
312C2×#123C2316yes—
313C2×#123C2313yes—
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2313yes—
316C2×C22⋊Q8C2313yes—
317C2×C22⋊Q8C2313yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2316yes—
321C2×#121—224no—
322C2×#121C2313yes—
323C2×#121C2313yes—
324C2×#121C2313yes—
325C2×#121C2313yes—
326C2×#121C2313yes—
327C2×#121C2313yes—
328C2×#121C2316yes—
329C2×#121C2313yes—
330C2×#121C2316yes—
331C2×#121C2313yes—
332C2×#121C2313yes—
333C2×#121C2313yes—
334C2×#121C2316yes—
335C2×#121C2316yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2316yes—
340C2×#121C2313yes—
341C2×#121C2316yes—
342C2×#121C2313yes—
343C2×#121C2316yes—
344C2×#121C2313yes—
345C2×#121C2313yes—
346C2×#121C2316yes—
347C2×#121C2313yes—
348C2×#121C2316yes—
349C2×#121C2313yes—
350C2×#121C2313yes—
351C2×#120C2316yes—
352C2×#120C2313yes—
353C2×#120C2313yes—
354C2×#120C2316yes—
355C2×#120C2316yes—
356C2×#120C2316yes—
357C2×#120C2316yes—
358C2×#120C2316yes—
359C2×#120C2313yes—
360#520—28no—
361#520—28no—
362#520—28no—
363C4×#41—28no—
364C4×#41—44no—
365C4×#41—44no—
366C2×C4×Q8C2313yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2313yes—
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2316yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2313yes—
390C2×C4×D4C2313yes—
391C2×C4×D4C2313yes—
392C2×C4×D4C2313yes—
393C2×C4×D4C2313yes—
394C2×C4×D4C2316yes—
395C2×C4×D4C2316yes—
396C2×C4×D4C2313yes—
397C2×C4×D4C2313yes—
398C2×C4×D4C2313yes—
399C2×C4×D4C2313yes—
400C2×C4×D4C2313yes—
401C2×C4×D4C2316yes—
402C2×C4×D4C2313yes—
403C2×#117C2313yes—
404C2×#117C2313yes—
405C2×#117C2313yes—
406C2×#117C2313yes—
407C2×#117C2313yes—
408C2×#117C2313yes—
409C22×C4⋊C4C2313yes—
410C22×C4⋊C4C2313yes—
411C22×C4⋊C4C2313yes—
412C22×C22⋊C4C2313yes—
413C22×C22⋊C4C2316yes—
414C22×C22⋊C4C2316yes—
415C22×C22⋊C4C2313yes—
416C22×C22⋊C4C2316yes—
417C22×C42C2313yes—
418C22×C42C2313yes—
419C22×C42C2313yes—
420#400C2316yes—
421#400C2313yes—
422#400C2313yes—
423#399C2311yescharacteristic
424#399C2313yes—
425#398C2313yes—
426#398C2316yes—
427#398C2316yes—
428#398C2313yes—
429#398C2313yes—
430#398C2311yescharacteristic
431#397C2313yes—
432#397C2316yes—
433#397C2316yes—
434#397C2316yes—
435#397C2313yes—
436#397C2313yes—
437#397C2313yes—
438#397C2316yes—
439#397C2316yes—
440#396C2313yes—
441#396C2316yes—
442#396C2313yes—
443#396C2316yes—
444#396C2316yes—
445#396C2311yescharacteristic
446#396C2313yes—
447#395C2311yescharacteristic
448#395C2313yes—
449#394C2313yes—
450#394C2316yes—
451#394C2316yes—
452#394C2316yes—
453#394C2313yes—
454#394C2313yes—
455#394C2313yes—
456#394C2313yes—
457#394C2313yes—
458#394C2313yes—
459#394C2313yes—
460#394C2316yes—
461#394C2316yes—
462#394C2316yes—
463#394C2316yes—
464#394C2316yes—
465#394C2316yes—
466#394C2316yes—
467#394C2316yes—
468#393C2313yes—
469#393C2316yes—
470#393C2313yes—
471#392C2316yes—
472#392C2316yes—
473#392C2316yes—
474#392C2313yes—
475#392C2313yes—
476#392C2313yes—
477#392C2313yes—
478#392C2316yes—
479#392C2316yes—
480#392C2316yes—
481#392C2316yes—
482#392C2316yes—
483#392C2316yes—
484#391C2313yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2313yes—
489#391C2313yes—
490#391C2313yes—
491#391C2313yes—
492#391C2311yescharacteristic
493#390C2313yes—
494#390C2313yes—
495#390C2316yes—
496#390C2313yes—
497#390C2313yes—
498#390C2313yes—
499#390C2313yes—
500#390C2316yes—
501#390C2316yes—
502#390C2313yes—
503#390C2316yes—
504#390C2313yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2313yes—
510#390C2313yes—
511#390C2313yes—
512#390C2313yes—
513#390C2313yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2313yes—
518#390C2313yes—
519#390C2316yes—
520#390C2313yes—
521#390C2313yes—
522#390C2313yes—
523#389C2313yes—
524#389C2313yes—
525#389C2313yes—
526#389C2313yes—
527#389C2313yes—
528#389C2313yes—
529#389C2313yes—
530#389C2313yes—
531#389C2313yes—
532#389C2313yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#388C2313yes—
536#388C2313yes—
537#388C2313yes—
538#388C2316yes—
539#388C2313yes—
540#388C2313yes—
541#388C2313yes—
542#388C2316yes—
543#388C2313yes—
544#388C2316yes—
545#388C2313yes—
546#388C2316yes—
547#388C2316yes—
548#388C2316yes—
549#388C2316yes—
550#388C2313yes—
551#388C2313yes—
552#388C2313yes—
553#388C2313yes—
554#388C2311yescharacteristic
555#388C2311yescharacteristic
556#387C2313yes—
557#387C2311yescharacteristic
558#386C2313yes—
559#386C2316yes—
560#386C2316yes—
561#386C2316yes—
562#386C2316yes—
563#386C2316yes—
564#386C2316yes—
565#386C2313yes—
566#386C2313yes—
567#386C2313yes—
568#386C2313yes—
569#386C2316yes—
570#386C2316yes—
571#386C2316yes—
572#386C2316yes—
573#386C2316yes—
574#386C2316yes—
575#386C2316yes—
576#386C2313yes—
577#386C2316yes—
578#386C2316yes—
579#386C2316yes—
580#386C2316yes—
581#386C2313yes—
582#386C2313yes—
583#386C2313yes—
584#386C2313yes—
585#386C2313yes—
586#386C2313yes—
587#385C2316yes—
588#385C2316yes—
589#385C2316yes—
590#385C2316yes—
591#385C2316yes—
592#385C2316yes—
593#385C2313yes—
594#385C2313yes—
595#385C2313yes—
596#385C2311yescharacteristic
597#384C2313yes—
598#384C2313yes—
599#384C2313yes—
600#382C2313yes—
601#382C2313yes—
602#381C2316yes—
603#381C2316yes—
604#381C2313yes—
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#380C2316yes—
618#380C2316yes—
619#380C2313yes—
620#380C2313yes—
621#379C2316yes—
622#379C2316yes—
623#379C2316yes—
624#379C2313yes—
625#379C2316yes—
626C4×C4⋊C4C2313yes—
627C4×C4⋊C4C2313yes—
628C4×C4⋊C4C2313yes—
629C4×C4⋊C4C2313yes—
630C4×C4⋊C4C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2311yescharacteristic
635C4×C22⋊C4C2313yes—
636C4×C22⋊C4C2313yes—
637C4×C22⋊C4C2313yes—
638C4×C22⋊C4C2313yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2316yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2313yes—
655C4×C22⋊C4C2311yescharacteristic
656C2×#95C2313yes—
657C2×#95C2313yes—
658C43C2313yes—
659C25C2413yes—
660C25C2416yes—
661H(5,𝔽2)—464no—
662C2×#41—24no—
663C2×#41—24no—
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—24no—
674C2×#41—212no—
675C2×#41—224no—
676C2×#41—212no—
677C2×#41—212no—
678C2×#41—212no—
679C2×#41—212no—
680C2×#41—212no—
681C2×#41—46no—
682C2×#41—46no—
683C2×#41—46no—
684C2×#41—412no—
685C2×#41—464no—
686C2×#41—86no—
687C2×#41C2×D418yes—
688C2×#41C2×D418yes—
689C2×#41#4118yescomplemented
690C22×Q8—24no—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8C2413yes—
694C22×Q8C2413yes—
695C22×Q8C2411yescharacteristic
696C22×Q8C2411yescharacteristic
697C22×D4—212no—
698C22×D4—212no—
699C22×D4—212no—
700C22×D4—212no—
701C22×D4—212no—
702C22×D4—212no—
703C22×D4—224no—
704C22×D4—212no—
705C22×D4—212no—
706C22×D4—46no—
707C22×D4—46no—
708C22×D4—46no—
709C22×D4—46no—
710C22×D4—412no—
711C22×D4—86no—
712C22×D4C2413yes—
713C22×D4C2413yes—
714C22×D4C2413yes—
715C22×D4C2413yes—
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2416yes—
719C22×D4C2413yes—
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2413yes—
726C22×D4C2413yes—
727C22×D4C2416yes—
728C22×D4C2416yes—
729C22×D4C2413yes—
730C22×D4C2413yes—
731C22×D4C2416yes—
732C22×D4C2416yes—
733C22×D4C2416yes—
734C22×D4C2413yes—
735C22×D4C2416yes—
736C23×C4—212no—
737C23×C4—212no—
738C23×C4—46no—
739C23×C4C2413yes—
740C23×C4C2413yes—
741C23×C4C2413yes—
742C23×C4C2413yes—
743C23×C4C2413yes—
744C23×C4C2411yescharacteristic
745C23×C4C2413yes—
746C23×C4C2413yes—
747C23×C4C2413yes—
748C23×C4C2413yes—
749C23×C4C2416yes—
750C23×C4C2413yes—
751C23×C4C2416yes—
752C23×C4C2413yes—
753C23×C4C2413yes—
754C23×C4C2413yes—
755C23×C4C2416yes—
756C23×C4C2413yes—
757C4⋊Q8—212no—
758#127—212no—
759#127—212no—
760#127—212no—
761#127—212no—
762#127—46no—
763#127C2×D4124yes—
764#126—212no—
765#126—212no—
766#125—24no—
767#125—212no—
768#125—212no—
769#124—212no—
770#124—212no—
771#124—212no—
772#124—212no—
773#124—46no—
774#123—212no—
775#123—224no—
776#123—212no—
777#123—212no—
778#123—212no—
779#123—224no—
780#123—46no—
781#123—412no—
782#123—412no—
783C22⋊Q8—212no—
784C22⋊Q8—24no—
785C22⋊Q8—212no—
786C22⋊Q8—212no—
787C22⋊Q8—212no—
788C22⋊Q8—412no—
789C22⋊Q8—46no—
790#121—224no—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—224no—
795#121—224no—
796#121—212no—
797#121—212no—
798#121—224no—
799#121—224no—
800#121—212no—
801#121—212no—
802#121—212no—
803#121—212no—
804#121—212no—
805#121—212no—
806#121—212no—
807#121—212no—
808#121—224no—
809#121—212no—
810#121—412no—
811#121—412no—
812#121—46no—
813#121—46no—
814#121—46no—
815#121—46no—
816#121—86no—
817#121C2×D4124yes—
818#121C2×D4124yes—
819#120—212no—
820#120—224no—
821#120—224no—
822#120—212no—
823#120—412no—
824#120—412no—
825#120—46no—
826#120—412no—
827#120—412no—
828C4×Q8—24no—
829C4×Q8—24no—
830C4×Q8—24no—
831C4×Q8—24no—
832C4×Q8—24no—
833C4×Q8—24no—
834C4×Q8—24no—
835C4×Q8—24no—
836C4×Q8—212no—
837C4×Q8C2×D418yes—
838C4×D4—212no—
839C4×D4—212no—
840C4×D4—212no—
841C4×D4—212no—
842C4×D4—212no—
843C4×D4—212no—
844C4×D4—212no—
845C4×D4—212no—
846C4×D4—212no—
847C4×D4—212no—
848C4×D4—212no—
849C4×D4—224no—
850C4×D4—212no—
851C4×D4—212no—
852C4×D4—212no—
853C4×D4—46no—
854C4×D4—412no—
855C4×D4—46no—
856C4×D4—46no—
857C4×D4—46no—
858C4×D4—46no—
859C4×D4—412no—
860C4×D4—46no—
861C4×D4—46no—
862C4×D4—46no—
863C4×D4—86no—
864C4×D4C2×D4124yes—
865#117—212no—
866#117—212no—
867#117—212no—
868#117—212no—
869#117—46no—
870#117—46no—
871C2×C4⋊C4—212no—
872C2×C4⋊C4—212no—
873C2×C4⋊C4—212no—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2416yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2413yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2416yes—
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2416yes—
907C2×C4⋊C4C2413yes—
908C2×C4⋊C4C2413yes—
909C2×C4⋊C4C2416yes—
910C2×C4⋊C4C2413yes—
911C2×C4⋊C4C2413yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C22⋊C4—224no—
914C2×C22⋊C4—212no—
915C2×C22⋊C4—46no—
916C2×C22⋊C4—412no—
917C2×C22⋊C4—86no—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2416yes—
925C2×C22⋊C4C2416yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2416yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2411yescharacteristic
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2416yes—
956C2×C22⋊C4C2416yes—
957C2×C22⋊C4C2416yes—
958C2×C22⋊C4C2416yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2416yes—
962C2×C22⋊C4C2416yes—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2416yes—
965C2×C22⋊C4C2416yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2416yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2416yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2416yes—
974C2×C22⋊C4C2416yes—
975C2×C22⋊C4C2413yes—
976C2×C22⋊C4C2413yes—
977C2×C22⋊C4C2413yes—
978C2×C22⋊C4C2413yes—
979C2×C22⋊C4C2413yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C42—212no—
982C2×C42—46no—
983C2×C42—46no—
984C2×C42C2413yes—
985C2×C42C2413yes—
986C2×C42C2413yes—
987C2×C42C2413yes—
988C2×C42C2413yes—
989C2×C42C2411yescharacteristic
990C2×C42C2413yes—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2413yes—
995C2×C42C2411yescharacteristic
996C2×C42C2413yes—
997C2×C42C2413yes—
998C2×C42C2413yes—
999C2×C42C2413yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2413yes—
1003#95C2411yescharacteristic
1004#95C2411yescharacteristic
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2411yescharacteristic
1012#95C2411yescharacteristic
1013#95C2411yescharacteristic
1014#95C2411yescharacteristic
1015#95C2411yescharacteristic
1016#95C2411yescharacteristic
1017#95C2411yescharacteristic
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2413yes—
1023#95C2413yes—
1024#95C2413yes—
1025#95C2416yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2416yes—
1029#95C2413yes—
1030#95C2413yes—
1031#95C2416yes—
1032#95C2411yescharacteristic
1033#95C2413yes—
1034#95C2413yes—
1035#95C2413yes—
1036#95C2413yes—
1037#95C2413yes—
1038#95C2416yes—
1039#95C2416yes—
1040C24—26no—
1041C24—26no—
1042C24—26no—
1043C24—212no—
1044C24—212no—
1045C24—43no—
1046C24—43no—
1047C24—43no—
1048C24—46no—
1049C24—43no—
1050C24—46no—
1051C24—46no—
1052C24—46no—
1053C24—46no—
1054C24C2513yes—
1055C24C2513yes—
1056C24C2513yes—
1057C24C2513yes—
1058C24C2513yes—
1059C24C2511yescharacteristic
1060#41—232no—
1061#41—232no—
1062#41—232no—
1063#41—448no—
1064#41—448no—
1065#41—448no—
1066#41—416no—
1067#41—416no—
1068#41—848no—
1069C2×Q8—26no—
1070C2×Q8—22no—
1071C2×Q8—26no—
1072C2×Q8—26no—
1073C2×Q8—22no—
1074C2×Q8—26no—
1075C2×Q8—26no—
1076C2×Q8—41no—
1077C2×Q8—43no—
1078C2×Q8—416no—
1079C2×Q8C22×D414yes—
1080C2×Q8C2×#4114yes—
1081C2×Q8H(5,𝔽2)14yes—
1082C2×D4—26no—
1083C2×D4—26no—
1084C2×D4—212no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—26no—
1089C2×D4—26no—
1090C2×D4—212no—
1091C2×D4—26no—
1092C2×D4—26no—
1093C2×D4—26no—
1094C2×D4—212no—
1095C2×D4—26no—
1096C2×D4—212no—
1097C2×D4—212no—
1098C2×D4—212no—
1099C2×D4—26no—
1100C2×D4—26no—
1101C2×D4—26no—
1102C2×D4—26no—
1103C2×D4—26no—
1104C2×D4—26no—
1105C2×D4—26no—
1106C2×D4—26no—
1107C2×D4—26no—
1108C2×D4—26no—
1109C2×D4—26no—
1110C2×D4—26no—
1111C2×D4—26no—
1112C2×D4—26no—
1113C2×D4—26no—
1114C2×D4—26no—
1115C2×D4—26no—
1116C2×D4—26no—
1117C2×D4—26no—
1118C2×D4—448no—
1119C2×D4—448no—
1120C2×D4—46no—
1121C2×D4—43no—
1122C2×D4—43no—
1123C2×D4—43no—
1124C2×D4—43no—
1125C2×D4—43no—
1126C2×D4—43no—
1127C2×D4—46no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—46no—
1131C2×D4—43no—
1132C2×D4—46no—
1133C2×D4—43no—
1134C2×D4—43no—
1135C2×D4—46no—
1136C2×D4—46no—
1137C2×D4—46no—
1138C2×D4—43no—
1139C2×D4—43no—
1140C2×D4—46no—
1141C2×D4—46no—
1142C2×D4—43no—
1143C2×D4—43no—
1144C2×D4—43no—
1145C2×D4—46no—
1146C2×D4—46no—
1147C2×D4—43no—
1148C2×D4—46no—
1149C2×D4—46no—
1150C2×D4—46no—
1151C2×D4—448no—
1152C2×D4—448no—
1153C2×D4—848no—
1154C2×D4C22×D4112yes—
1155C2×D4C22×D4112yes—
1156C2×D4C22×D4112yes—
1157C2×D4C22×D4124yes—
1158C2×D4C2×#41112yes—
1159C22×C4—26no—
1160C22×C4—26no—
1161C22×C4—26no—
1162C22×C4—26no—
1163C22×C4—26no—
1164C22×C4—26no—
1165C22×C4—26no—
1166C22×C4—26no—
1167C22×C4—26no—
1168C22×C4—26no—
1169C22×C4—212no—
1170C22×C4—26no—
1171C22×C4—26no—
1172C22×C4—26no—
1173C22×C4—26no—
1174C22×C4—22no—
1175C22×C4—26no—
1176C22×C4—22no—
1177C22×C4—26no—
1178C22×C4—26no—
1179C22×C4—26no—
1180C22×C4—26no—
1181C22×C4—26no—
1182C22×C4—26no—
1183C22×C4—26no—
1184C22×C4—212no—
1185C22×C4—212no—
1186C22×C4—26no—
1187C22×C4—26no—
1188C22×C4—26no—
1189C22×C4—41no—
1190C22×C4—43no—
1191C22×C4—43no—
1192C22×C4—43no—
1193C22×C4—448no—
1194C22×C4—43no—
1195C22×C4—43no—
1196C22×C4—43no—
1197C22×C4—43no—
1198C22×C4—46no—
1199C22×C4—43no—
1200C22×C4—43no—
1201C22×C4—46no—
1202C22×C4—46no—
1203C22×C4—46no—
1204C22×C4—43no—
1205C22×C4—43no—
1206C22×C4—43no—
1207C22×C4—46no—
1208C22×C4—46no—
1209C22×C4—43no—
1210C22×C4—43no—
1211C22×C4C22×D4112yes—
1212C22×C4C22×D4112yes—
1213C22×C4C2×#41112yes—
1214C22×C4C2513yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2513yes—
1218C22×C4C2513yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2513yes—
1223C22×C4C2513yes—
1224C22×C4C2513yes—
1225C22×C4C2513yes—
1226C22×C4C2513yes—
1227C22×C4C2513yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2513yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2513yes—
1239C4⋊C4—26no—
1240C4⋊C4—26no—
1241C4⋊C4—26no—
1242C4⋊C4—26no—
1243C4⋊C4—26no—
1244C4⋊C4—26no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—26no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—26no—
1253C4⋊C4—26no—
1254C4⋊C4—212no—
1255C4⋊C4—22no—
1256C4⋊C4—26no—
1257C4⋊C4—26no—
1258C4⋊C4—22no—
1259C4⋊C4—26no—
1260C4⋊C4—26no—
1261C4⋊C4—26no—
1262C4⋊C4—26no—
1263C4⋊C4—26no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—43no—
1268C4⋊C4—41no—
1269C4⋊C4—46no—
1270C4⋊C4—43no—
1271C4⋊C4—46no—
1272C4⋊C4—43no—
1273C4⋊C4—46no—
1274C4⋊C4—43no—
1275C4⋊C4—43no—
1276C4⋊C4C22×D4112yes—
1277C4⋊C4C22×D414yes—
1278C22⋊C4—212no—
1279C22⋊C4—26no—
1280C22⋊C4—212no—
1281C22⋊C4—26no—
1282C22⋊C4—26no—
1283C22⋊C4—26no—
1284C22⋊C4—26no—
1285C22⋊C4—26no—
1286C22⋊C4—26no—
1287C22⋊C4—26no—
1288C22⋊C4—26no—
1289C22⋊C4—26no—
1290C22⋊C4—212no—
1291C22⋊C4—26no—
1292C22⋊C4—26no—
1293C22⋊C4—26no—
1294C22⋊C4—26no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—26no—
1298C22⋊C4—26no—
1299C22⋊C4—26no—
1300C22⋊C4—26no—
1301C22⋊C4—26no—
1302C22⋊C4—26no—
1303C22⋊C4—26no—
1304C22⋊C4—26no—
1305C22⋊C4—26no—
1306C22⋊C4—22no—
1307C22⋊C4—26no—
1308C22⋊C4—26no—
1309C22⋊C4—26no—
1310C22⋊C4—26no—
1311C22⋊C4—22no—
1312C22⋊C4—26no—
1313C22⋊C4—43no—
1314C22⋊C4—43no—
1315C22⋊C4—46no—
1316C22⋊C4—46no—
1317C22⋊C4—43no—
1318C22⋊C4—43no—
1319C22⋊C4—46no—
1320C22⋊C4—46no—
1321C22⋊C4—46no—
1322C22⋊C4—46no—
1323C22⋊C4—43no—
1324C22⋊C4—41no—
1325C22⋊C4—46no—
1326C22⋊C4—46no—
1327C22⋊C4—43no—
1328C22⋊C4—43no—
1329C22⋊C4—43no—
1330C22⋊C4—46no—
1331C22⋊C4—46no—
1332C22⋊C4—43no—
1333C22⋊C4—46no—
1334C22⋊C4—43no—
1335C22⋊C4—43no—
1336C22⋊C4—46no—
1337C22⋊C4—43no—
1338C22⋊C4C22×D4112yes—
1339C22⋊C4C22×D4112yes—
1340C22⋊C4H(5,𝔽2)14yescomplemented
1341C42—22no—
1342C42—26no—
1343C42—26no—
1344C42—26no—
1345C42—26no—
1346C42—26no—
1347C42—26no—
1348C42—26no—
1349C42—26no—
1350C42—26no—
1351C42—26no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—43no—
1356C42—43no—
1357C42—43no—
1358C42—43no—
1359C42C22×D4112yes—
1360C23—21no—
1361C23—23no—
1362C23—21no—
1363C23—23no—
1364C23—23no—
1365C23—23no—
1366C23—23no—
1367C23—23no—
1368C23—23no—
1369C23—23no—
1370C23—21no—
1371C23—23no—
1372C23—21no—
1373C23—23no—
1374C23—23no—
1375C23—23no—
1376C23—23no—
1377C23—21no—
1378C23—23no—
1379C23—23no—
1380C23—23no—
1381C23—23no—
1382C23—23no—
1383C23—21no—
1384C23—23no—
1385C23—23no—
1386C23—23no—
1387C23—23no—
1388C23—23no—
1389C23—23no—
1390C23—23no—
1391C23—23no—
1392C23—23no—
1393C23—23no—
1394C23—23no—
1395C23—23no—
1396C23—23no—
1397C23—23no—
1398C23—412no—
1399C23—412no—
1400C23—412no—
1401C23—424no—
1402C23—86no—
1403C23—86no—
1404C23—86no—
1405C23—812no—
1406C23—812no—
1407C23—812no—
1408C23—812no—
1409C23—86no—
1410C23—166no—
1411C23—166no—
1412C23C23×D416yes—
1413C23C23×D416yes—
1414C23C22×#4116yes—
1415C23C2×H(5,𝔽2)12yes—
1416C23C2611yescharacteristic
1417Q8—44no—
1418Q8—412no—
1419Q8—412no—
1420Q8#546116yescomplemented
1421D4—224no—
1422D4—224no—
1423D4—224no—
1424D4—424no—
1425D4—412no—
1426D4—412no—
1427D4—412no—
1428D4—412no—
1429D4—412no—
1430D4—412no—
1431D4—412no—
1432D4—424no—
1433D4—412no—
1434D4—412no—
1435D4—412no—
1436D4—86no—
1437D4—86no—
1438D4—812no—
1439D4—812no—
1440D4—86no—
1441D4—86no—
1442D4—812no—
1443D4—812no—
1444D4—166no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—23no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—23no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—224no—
1464C2×C4—224no—
1465C2×C4—224no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—23no—
1470C2×C4—23no—
1471C2×C4—23no—
1472C2×C4—23no—
1473C2×C4—21no—
1474C2×C4—23no—
1475C2×C4—21no—
1476C2×C4—23no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—23no—
1480C2×C4—21no—
1481C2×C4—23no—
1482C2×C4—23no—
1483C2×C4—23no—
1484C2×C4—23no—
1485C2×C4—23no—
1486C2×C4—23no—
1487C2×C4—23no—
1488C2×C4—23no—
1489C2×C4—23no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—23no—
1493C2×C4—23no—
1494C2×C4—23no—
1495C2×C4—21no—
1496C2×C4—23no—
1497C2×C4—21no—
1498C2×C4—23no—
1499C2×C4—23no—
1500C2×C4—23no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—23no—
1507C2×C4—21no—
1508C2×C4—23no—
1509C2×C4—23no—
1510C2×C4—23no—
1511C2×C4—44no—
1512C2×C4—412no—
1513C2×C4—412no—
1514C2×C4—412no—
1515C2×C4—412no—
1516C2×C4—412no—
1517C2×C4—412no—
1518C2×C4—86no—
1519C2×C4—86no—
1520C2×C4—86no—
1521C2×C4—812no—
1522C2×C4—812no—
1523C2×C4—86no—
1524C2×C4—812no—
1525C2×C4—86no—
1526C2×C4C23×D412yes—
1527C2×C4C23×D412yes—
1528C2×C4C23×D416yes—
1529C2×C4C23×D412yes—
1530C2×C4C23×D416yes—
1531C2×C4C22×#4112yes—
1532C2×C4C22×#4116yes—
1533C2×C4C2×H(5,𝔽2)12yes—
1534C2×C4C2×H(5,𝔽2)12yes—
1535C2×C4C2×H(5,𝔽2)16yes—
1536C2×C4#58512yes—
1537C2×C4#58512yes—
1538C22—26no—
1539C22—26no—
1540C22—22no—
1541C22—26no—
1542C22—22no—
1543C22—26no—
1544C22—22no—
1545C22—26no—
1546C22—26no—
1547C22—26no—
1548C22—26no—
1549C22—26no—
1550C22—43no—
1551C22—43no—
1552C22—43no—
1553C22—41no—
1554C22—43no—
1555C22—43no—
1556C22—43no—
1557C22—43no—
1558C22—43no—
1559C22—41no—
1560C22—43no—
1561C22—43no—
1562C22—43no—
1563C22—41no—
1564C22—43no—
1565C22—41no—
1566C22—43no—
1567C22—43no—
1568C22—43no—
1569C22—43no—
1570C22—43no—
1571C22—43no—
1572C22—43no—
1573C22—43no—
1574C22—43no—
1575C22—43no—
1576C22—43no—
1577C22—43no—
1578C22—43no—
1579C22—43no—
1580C22—824no—
1581C22—1624no—
1582C22C24×D411yescharacteristic
1583C22C23×#4111yescharacteristic
1584C22C22×H(5,𝔽2)11yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22C2×#58511yescharacteristic
1588C22H(7,𝔽2)11yescharacteristic
1589C4—22no—
1590C4—26no—
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—43no—
1599C4—43no—
1600C4—43no—
1601C4—43no—
1602C4—43no—
1603C4—43no—
1604C4—41no—
1605C4—43no—
1606C4—41no—
1607C4—41no—
1608C4—43no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—43no—
1613C4C2×#546112yes—
1614C2—46no—
1615C2—42no—
1616C2—46no—
1617C2—46no—
1618C2—83no—
1619C2—83no—
1620C2C22×#54611yescharacteristic
1621C2#6280011yescharacteristic
1622C2#6281211yescharacteristic
1623C2#6289911yescharacteristic
1624C2D4×H(5,𝔽2)11yescharacteristic
1625C2#6300811yescharacteristic
1626C2#6301411yescharacteristic
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×#3517C2semidirect
3. #59812C2semidirect
4. #59808C2semidirect
5. #59412C2semidirect
6. #59099C2semidirect
7. #59028C2semidirect
8. #44881C2semidirect
9. #44876C2semidirect
10. #44872C2semidirect
11. #44869C2semidirect
12. #39436C2semidirect
13. #39416C2semidirect
14. #38034C2semidirect
15. #37846C2semidirect
16. #36467C2semidirect
17. #36455C2semidirect
18. #36433C2semidirect
19. #36430C2semidirect
20. #36429C2semidirect
21. #36362C2semidirect
22. #36123C2semidirect
23. #36091C2semidirect
24. #35996C2semidirect
25. #35831C2semidirect
26. #35816C2semidirect
27. #34829C2semidirect
28. #34313C2semidirect
29. #34258C2semidirect
30. C4×#550C2semidirect
31. C22⋊C4×#41C2semidirect
36. C2×#557C22semidirect
37. C2×#553C22semidirect
38. C2×#553C22semidirect
42. C2×#550C22semidirect
43. C2×#550C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
48. C2×#548C22semidirect
49. C2×#547C22semidirect
52. C2×#546C22semidirect
55. C2×#540C22semidirect
56. C2×#540C22semidirect
59. C2×#532C22semidirect
60. C2×#529C22semidirect
64. C2×#520C22semidirect
65. C2×#520C22semidirect
66. C2×C4×#41C22semidirect
67. C2×C4×#41C22semidirect
68. C2×C4×#41C22semidirect
69. #2861C22semidirect
70. #2856C22semidirect
71. #2854C22semidirect
72. #2850C22semidirect
73. #2847C22semidirect
74. #2708C22semidirect
75. #2703C22semidirect
76. #2701C22semidirect
77. #2699C22semidirect
78. #2697C22semidirect
79. #2688C22semidirect
80. #2688C22semidirect
81. #2687C22semidirect
82. #2681C22semidirect
83. #2678C22semidirect
84. #2678C22semidirect
85. #2678C22semidirect
86. #2678C22semidirect
87. #2668C22semidirect
88. #2629C22semidirect
89. #2625C22semidirect
90. #2620C22semidirect
91. #2615C22semidirect
92. #2592C22semidirect
93. #2566C22semidirect
94. #2562C22semidirect
95. #2560C22semidirect
96. #2559C22semidirect
97. #2558C22semidirect
98. #2557C22semidirect
99. #2556C22semidirect
100. #2555C22semidirect
101. #2554C22semidirect
102. #2554C22semidirect
103. #2553C22semidirect
104. #2549C22semidirect
105. #2544C22semidirect
106. #2544C22semidirect
107. #2543C22semidirect
108. #2543C22semidirect
109. #2541C22semidirect
110. #2539C22semidirect
111. #2538C22semidirect
112. #2537C22semidirect
113. #2537C22semidirect
114. #2535C22semidirect
115. #2535C22semidirect
116. #2534C22semidirect
117. #2534C22semidirect
118. #2502C22semidirect
119. #2500C22semidirect
120. #2492C22semidirect
121. #2491C22semidirect
122. #2490C22semidirect
123. #2489C22semidirect
124. #2488C22semidirect
125. #2486C22semidirect
126. #2485C22semidirect
127. #2480C22semidirect
128. #2472C22semidirect
129. #2472C22semidirect
130. #2464C22semidirect
131. #2464C22semidirect
132. #2464C22semidirect
133. #2457C22semidirect
134. #2454C22semidirect
135. #2452C22semidirect
136. #2447C22semidirect
137. #2447C22semidirect
138. #2445C22semidirect
139. #2445C22semidirect
140. #2442C22semidirect
141. #2440C22semidirect
142. #2433C22semidirect
143. #2433C22semidirect
144. #2433C22semidirect
145. #2433C22semidirect
146. #2431C22semidirect
147. #2431C22semidirect
148. #2430C22semidirect
149. #2428C22semidirect
150. #2428C22semidirect
151. #2428C22semidirect
152. #2428C22semidirect
153. #2427C22semidirect
154. #2427C22semidirect
155. #2425C22semidirect
156. #2424C22semidirect
157. #2424C22semidirect
158. #2424C22semidirect
159. #2422C22semidirect
160. #2422C22semidirect
161. #2422C22semidirect
162. #2420C22semidirect
163. #2417C22semidirect
164. #2416C22semidirect
165. #2415C22semidirect
166. #2414C22semidirect
167. #2414C22semidirect
168. #2414C22semidirect
169. #2410C22semidirect
170. #2408C22semidirect
171. #2408C22semidirect
172. #2408C22semidirect
173. #2408C22semidirect
174. #2408C22semidirect
175. #2407C22semidirect
176. #2407C22semidirect
177. #2407C22semidirect
178. #2405C22semidirect
179. #2404C22semidirect
180. #2396C22semidirect
181. #2395C22semidirect
182. #2392C22semidirect
183. #2388C22semidirect
184. #2366C22semidirect
185. #2366C22semidirect
186. #2363C22semidirect
187. #2363C22semidirect
188. #2361C22semidirect
189. #2361C22semidirect
190. #2358C22semidirect
191. #2358C22semidirect
192. #2354C22semidirect
193. #2351C22semidirect
194. Q8×C4⋊C4C22semidirect
195. Q8×C4⋊C4C22semidirect
196. Q8×C4⋊C4C22semidirect
197. D4×C4⋊C4C22semidirect
201. #2341C22semidirect
202. #2341C22semidirect
203. #2341C22semidirect
204. #2341C22semidirect
205. #2341C22semidirect
206. #2341C22semidirect
207. Q8×C22⋊C4C22semidirect
208. Q8×C22⋊C4C22semidirect
209. Q8×C22⋊C4C22semidirect
210. #2339C22semidirect
211. #2339C22semidirect
212. D4×C22⋊C4C22semidirect
213. D4×C22⋊C4C22semidirect
214. D4×C22⋊C4C22semidirect
215. D4×C22⋊C4C22semidirect
216. D4×C22⋊C4C22semidirect
217. D4×C22⋊C4C22semidirect
218. #2324C22semidirect
219. #2324C22semidirect
220. #2311C22semidirect
221. #2309C22semidirect
222. C4×#127C22semidirect
223. C4×#127C22semidirect
224. C4×#124C22semidirect
225. C4×#123C22semidirect
226. C4×#121C22semidirect
227. C4×#121C22semidirect
228. C4×#121C22semidirect
229. C4×#121C22semidirect
230. C4×#120C22semidirect
231. #2297C22semidirect
232. #2297C22semidirect
233. #2297C22semidirect
234. #2293C22semidirect
235. C2×#390C22semidirect
236. #2280C22semidirect
237. C42×Q8C22semidirect
238. C42×D4C22semidirect
239. C2×C4×C22⋊C4C22semidirect
271. #550D4semidirect
689. C2×#41#41semidirect
1340. C22⋊C4H(5,𝔽2)semidirect
1420. Q8#546semidirect

Maximal subgroups

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

subgroupindex
C2×#34882
C2×#35172
#598122
#598082
#594122
#590992
#590282
#448812
#448762
#448722
#448692
#394362
#394162
#380342
#378462
#364672
#364552
#364332
#364302
#364292
#363622
#361232
#360912
#359962
#358312
#358162
#348292
#343132
#342582
C4×#5502
C22⋊C4×#412