Finite Group Databasebeta

← #7698499

Subgroups — #7698499

Order 512.

9002 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3498C211yesmaximal, characteristic, complemented
2C2×#3517C211yesmaximal, characteristic, complemented
3#59808C213yesmaximal, complemented
4#59124C213yesmaximal, complemented
5#59095C213yesmaximal, complemented
6#52139C213yesmaximal, complemented
7#45352C213yesmaximal, complemented
8#45105C213yesmaximal, complemented
9#44936C213yesmaximal, complemented
10#44881C213yesmaximal, complemented
11#44872C213yesmaximal, complemented
12#44871C213yesmaximal, complemented
13#39462C213yesmaximal, complemented
14#39434C213yesmaximal, complemented
15#38080C213yesmaximal, complemented
16#38026C213yesmaximal, complemented
17#37782C213yesmaximal, complemented
18#37694C213yesmaximal, complemented
19#36455C211yesmaximal, characteristic, complemented
20#36433C211yesmaximal, characteristic, complemented
21#36431C211yesmaximal, characteristic, complemented
22#36091C211yesmaximal, characteristic, complemented
23#36091C211yesmaximal, characteristic, complemented
24#36076C211yesmaximal, characteristic, complemented
25#36049C211yesmaximal, characteristic, complemented
26#36029C211yesmaximal, characteristic, complemented
27#36029C211yesmaximal, characteristic, complemented
28#34295C211yesmaximal, characteristic, complemented
29#34295C211yesmaximal, characteristic, complemented
30#34258C211yesmaximal, characteristic, complemented
31#34258C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×H(5,𝔽2)C2211yescharacteristic
34#3517—216no—
35#3498—216no—
36C2×#557C2211yescharacteristic, complemented
37C2×#553C2213yescomplemented
38C2×#553C2213yescomplemented
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic, complemented
45C2×#550C2213yescomplemented
46C2×#550C2211yescharacteristic, complemented
47C2×#550C2211yescharacteristic, complemented
48C2×#550C2211yescharacteristic, complemented
49C2×#547C2213yescomplemented
50C2×#546C2216yescomplemented
51C2×D42C2213yes—
52C2×D42C2213yes—
53C2×D42C2213yes—
54C2×D42C2213yes—
55C2×#540C2213yescomplemented
56C2×#540C2213yescomplemented
57C2×#535C2213yes—
58C2×#535C2213yes—
59C2×#532C2213yes—
60C2×#532C2213yescomplemented
61C22×#127C2213yes—
62C2×#529C2213yescomplemented
63C2×#520C2211yescharacteristic, complemented
64C2×#520C2211yescharacteristic, complemented
65C2×#520C2211yescharacteristic, complemented
66C2×C4×#41C2211yescharacteristic
67C2×C4×#41C2211yescharacteristic, complemented
68C2×C4×#41C2211yescharacteristic, complemented
69#2856C2213yescomplemented
70#2854C2213yescomplemented
71#2851C2213yescomplemented
72#2716C2213yescomplemented
73#2715C2213yescomplemented
74#2714C2216yescomplemented
75#2714C2213yescomplemented
76#2713C2211yescharacteristic, complemented
77#2712C2213yescomplemented
78#2711C2213yescomplemented
79#2710C2213yescomplemented
80#2709C2216yescomplemented
81#2709C2213yescomplemented
82#2708C2213yescomplemented
83#2703C2213yescomplemented
84#2700C2213yescomplemented
85#2697C2216yescomplemented
86#2691C2213yescomplemented
87#2688C2216yescomplemented
88#2688C2213yescomplemented
89#2685C2216yescomplemented
90#2681C2213yescomplemented
91#2678C2216yescomplemented
92#2678C2216yescomplemented
93#2678C2216yescomplemented
94#2676C2213yescomplemented
95#2673C2216yescomplemented
96#2673C2216yescomplemented
97#2673C2213yescomplemented
98#2670C2216yescomplemented
99#2668C2216yescomplemented
100#2668C2216yescomplemented
101#2641C2213yescomplemented
102#2624C2213yescomplemented
103#2619C2213yescomplemented
104#2619C2213yescomplemented
105#2615C2213yescomplemented
106#2615C2213yescomplemented
107#2580C2213yescomplemented
108#2566C2213yescomplemented
109#2562C2213yescomplemented
110#2557C2216yescomplemented
111#2548C2213yescomplemented
112#2541C2213yescomplemented
113#2541C2213yescomplemented
114#2541C2213yescomplemented
115#2539C2216yescomplemented
116#2537C2213yescomplemented
117#2535C2213yescomplemented
118#2535C2213yescomplemented
119#2534C2216yescomplemented
120#2504C2213yescomplemented
121#2500C2213yescomplemented
122#2491C2213yescomplemented
123#2491C2213yescomplemented
124#2490C2213yescomplemented
125#2490C2213yescomplemented
126#2486C2213yescomplemented
127#2485C2213yescomplemented
128#2472C2216yescomplemented
129#2464C2216yescomplemented
130#2459C2216yescomplemented
131#2456C2216yescomplemented
132#2454C2213yescomplemented
133#2452C2213yescomplemented
134#2445C2213yescomplemented
135#2445C2213yescomplemented
136#2445C2213yescomplemented
137#2445C2213yescomplemented
138#2441C2213yescomplemented
139#2439C2213yescomplemented
140#2433C2213yescomplemented
141#2433C2213yescomplemented
142#2433C2213yescomplemented
143#2433C2213yescomplemented
144#2433C2213yescomplemented
145#2433C2213yescomplemented
146#2431C2216yescomplemented
147#2428C2216yescomplemented
148#2428C2213yescomplemented
149#2428C2213yescomplemented
150#2428C2213yescomplemented
151#2428C2213yescomplemented
152#2428C2213yescomplemented
153#2428C2213yescomplemented
154#2424C2216yescomplemented
155#2424C2216yescomplemented
156#2424C2216yescomplemented
157#2422C2213yescomplemented
158#2420C2213yescomplemented
159#2420C2213yescomplemented
160#2420C2213yescomplemented
161#2416C2213yescomplemented
162#2416C2213yescomplemented
163#2416C2213yescomplemented
164#2416C2213yescomplemented
165#2414C2213yescomplemented
166#2414C2213yescomplemented
167#2410C2216yescomplemented
168#2410C2216yescomplemented
169#2410C2216yescomplemented
170#2410C2216yescomplemented
171#2408C2216yescomplemented
172#2408C2213yescomplemented
173#2408C2213yescomplemented
174#2408C2213yescomplemented
175#2408C2213yescomplemented
176#2408C2213yescomplemented
177#2408C2213yescomplemented
178#2405C2216yescomplemented
179#2405C2216yescomplemented
180#2404C2216yescomplemented
181#2404C2216yescomplemented
182#2398C2213yescomplemented
183#2395C2213yescomplemented
184#2392C2213yescomplemented
185#2392C2213yescomplemented
186#2388C2213yescomplemented
187#2388C2213yescomplemented
188#2366C2213yescomplemented
189#2366C2213yescomplemented
190#2363C2213yescomplemented
191#2363C2213yescomplemented
192#2361C2213yescomplemented
193#2361C2213yescomplemented
194#2352C2213yescomplemented
195#2352C2213yescomplemented
196#2351C2211yescharacteristic, complemented
197#2351C2211yescharacteristic, complemented
198#2351C2211yescharacteristic, complemented
199Q8×C4⋊C4C2211yescharacteristic, complemented
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic, complemented
204#2341C2211yescharacteristic, complemented
205#2341C2211yescharacteristic, complemented
206#2341C2211yescharacteristic, complemented
207#2341C2211yescharacteristic, complemented
208#2341C2211yescharacteristic, complemented
209#2341C2211yescharacteristic, complemented
210#2341C2211yescharacteristic, complemented
211#2341C2211yescharacteristic, complemented
212D4×C22⋊C4C2213yescomplemented
213D4×C22⋊C4C2213yescomplemented
214D4×C22⋊C4C2213yescomplemented
215D4×C22⋊C4C2213yescomplemented
216D4×C22⋊C4C2213yescomplemented
217D4×C22⋊C4C2213yescomplemented
218D4×C22⋊C4C2213yescomplemented
219D4×C22⋊C4C2213yescomplemented
220#2328C2213yescomplemented
221#2328C2213yescomplemented
222#2324C2213yescomplemented
223#2324C2213yescomplemented
224#2311C2213yescomplemented
225#2311C2213yescomplemented
226#2309C2213yescomplemented
227#2309C2213yescomplemented
228C4×C22⋊Q8C2213yescomplemented
229C4×#123C2213yescomplemented
230C4×#121C2213yescomplemented
231C4×#121C2213yescomplemented
232C4×#121C2213yescomplemented
233#2297C2213yescomplemented
234#2297C2213yescomplemented
235C2×#390C2213yescomplemented
236C2×#390C2213yescomplemented
237#2290C2213yescomplemented
238#2290C2213yescomplemented
239#2276C2211yescharacteristic, complemented
240C2×H(5,𝔽2)—28no—
241C2×H(5,𝔽2)—28no—
242C2×H(5,𝔽2)—28no—
243C2×H(5,𝔽2)—28no—
244C2×H(5,𝔽2)—44no—
245C2×H(5,𝔽2)—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2311yescharacteristic
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2311yescharacteristic
252C22×#41C2311yescharacteristic
253C22×#41C2311yescharacteristic
254C22×#41C2316yes—
255C23×D4C2313yes—
256C23×D4C2313yes—
257C23×D4C2313yes—
258C23×D4C2313yes—
259C23×D4C2313yes—
260C23×D4C2313yes—
261C23×D4C2316yes—
262C23×D4C2316yes—
263#557—28no—
264#553—224no—
265#553—224no—
266#550—28no—
267#550—28no—
268#550—28no—
269#550—28no—
270#550—28no—
271#550—224no—
272#550—28no—
273#550—44no—
274#550—44no—
275#550D4116yescomplemented
276#547—224no—
277#546—424no—
278D42—224no—
279D42—224no—
280D42—224no—
281D42—224no—
282#540—224no—
283#540—224no—
284#535—224no—
285#535—224no—
286#532—224no—
287#532—224no—
288C2×C4⋊Q8C2311yescharacteristic
289C2×C4⋊Q8C2313yes—
290C2×#127—224no—
291C2×#127C2313yes—
292C2×#127C2313yes—
293C2×#127C2313yes—
294C2×#127C2316yes—
295C2×#127C2313yes—
296C2×#127C2313yes—
297C2×#127C2313yes—
298C2×#127C2313yes—
299C2×#127C2313yes—
300C2×#127C2313yes—
301C2×#127C2313yes—
302#529—224no—
303C2×#126C2313yes—
304C2×#126C2313yes—
305C2×#125C2313yes—
306C2×#125C2311yescharacteristic
307C2×#125C2313yes—
308C2×#124C2313yes—
309C2×#124C2313yes—
310C2×#124C2313yes—
311C2×#124C2316yes—
312C2×#123C2313yes—
313C2×#123C2316yes—
314C2×#123C2313yes—
315C2×#123C2313yes—
316C2×#123C2316yes—
317C2×#123C2316yes—
318C2×#123C2316yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×#121C2313yes—
322C2×#121C2313yes—
323C2×#121C2313yes—
324C2×#121C2313yes—
325C2×#121C2313yes—
326C2×#121C2313yes—
327C2×#121C2313yes—
328C2×#121C2313yes—
329C2×#121C2316yes—
330C2×#121C2313yes—
331C2×#121C2316yes—
332C2×#121C2316yes—
333C2×#121C2313yes—
334C2×#121C2313yes—
335C2×#121C2313yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2313yes—
340C2×#121C2313yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2313yes—
344C2×#121C2313yes—
345C2×#121C2313yes—
346C2×#121C2316yes—
347C2×#121C2316yes—
348C2×#121C2316yes—
349C2×#121C2316yes—
350C2×#121C2316yes—
351C2×#121C2316yes—
352C2×#121C2313yes—
353C2×#121C2313yes—
354C2×#120C2316yes—
355C2×#120C2316yes—
356C2×#120C2316yes—
357C2×#120C2316yes—
358C2×#120C2316yes—
359C2×#120C2316yes—
360C2×#120C2316yes—
361C2×#120C2316yes—
362C2×#120C2316yes—
363C2×#120C2316yes—
364#520—28no—
365#520—28no—
366#520—44no—
367C4×#41—28no—
368C4×#41—28no—
369C4×#41—44no—
370C2×C4×Q8C2313yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
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×D4C2313yes—
390C2×C4×D4C2313yes—
391C2×C4×D4C2313yes—
392C2×C4×D4C2313yes—
393C2×C4×D4C2313yes—
394C2×C4×D4C2316yes—
395C2×C4×D4C2313yes—
396C2×C4×D4C2313yes—
397C2×C4×D4C2313yes—
398C2×C4×D4C2313yes—
399C2×C4×D4C2316yes—
400C2×C4×D4C2316yes—
401C2×C4×D4C2313yes—
402C2×C4×D4C2313yes—
403C2×C4×D4C2313yes—
404C2×#117C2313yes—
405C2×#117C2313yes—
406C2×#117C2313yes—
407C2×#117C2313yes—
408C2×#117C2313yes—
409C2×#117C2313yes—
410C22×C4⋊C4C2313yes—
411C22×C4⋊C4C2313yes—
412C22×C4⋊C4C2313yes—
413C22×C22⋊C4C2316yes—
414C22×C22⋊C4C2316yes—
415C22×C22⋊C4C2316yes—
416C22×C22⋊C4C2316yes—
417C22×C42C2313yes—
418C22×C42C2313yes—
419C22×C42C2313yes—
420#400C2313yes—
421#400C2311yescharacteristic
422#400C2311yescharacteristic
423#399C2316yes—
424#399C2313yes—
425#398C2311yescharacteristic
426#398C2311yescharacteristic
427#398C2313yes—
428#397C2316yes—
429#397C2313yes—
430#397C2313yes—
431#397C2313yes—
432#397C2313yes—
433#397C2313yes—
434#397C2313yes—
435#397C2313yes—
436#397C2316yes—
437#396C2316yes—
438#396C2316yes—
439#396C2313yes—
440#396C2313yes—
441#396C2313yes—
442#396C2313yes—
443#395C2311yescharacteristic
444#395C2311yescharacteristic
445#394C2316yes—
446#394C2313yes—
447#394C2313yes—
448#394C2316yes—
449#394C2316yes—
450#394C2316yes—
451#394C2316yes—
452#394C2313yes—
453#394C2316yes—
454#394C2316yes—
455#394C2313yes—
456#394C2313yes—
457#394C2313yes—
458#394C2313yes—
459#394C2313yes—
460#394C2313yes—
461#394C2313yes—
462#394C2313yes—
463#394C2313yes—
464#394C2313yes—
465#394C2313yes—
466#394C2313yes—
467#394C2313yes—
468#394C2316yes—
469#394C2316yes—
470#394C2316yes—
471#394C2316yes—
472#394C2316yes—
473#393C2316yes—
474#393C2313yes—
475#393C2313yes—
476#393C2313yes—
477#393C2313yes—
478#392C2316yes—
479#392C2316yes—
480#392C2316yes—
481#392C2316yes—
482#392C2316yes—
483#392C2316yes—
484#392C2316yes—
485#392C2316yes—
486#392C2316yes—
487#392C2316yes—
488#392C2313yes—
489#392C2313yes—
490#392C2313yes—
491#392C2313yes—
492#392C2313yes—
493#392C2313yes—
494#392C2313yes—
495#392C2313yes—
496#392C2316yes—
497#392C2316yes—
498#391C2313yes—
499#391C2313yes—
500#391C2313yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2316yes—
507#390C2316yes—
508#390C2313yes—
509#390C2313yes—
510#390C2313yes—
511#390C2313yes—
512#390C2313yes—
513#390C2313yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2316yes—
518#390C2316yes—
519#390C2313yes—
520#390C2313yes—
521#390C2313yes—
522#390C2313yes—
523#390C2313yes—
524#390C2313yes—
525#390C2313yes—
526#390C2313yes—
527#390C2313yes—
528#390C2313yes—
529#390C2313yes—
530#390C2313yes—
531#390C2313yes—
532#390C2313yes—
533#390C2313yes—
534#390C2316yes—
535#390C2316yes—
536#390C2313yes—
537#390C2313yes—
538#389C2313yes—
539#389C2313yes—
540#389C2313yes—
541#389C2313yes—
542#389C2313yes—
543#389C2313yes—
544#389C2313yes—
545#389C2313yes—
546#389C2311yescharacteristic
547#389C2313yes—
548#388C2316yes—
549#388C2316yes—
550#388C2316yes—
551#388C2316yes—
552#388C2313yes—
553#388C2316yes—
554#388C2313yes—
555#388C2313yes—
556#388C2313yes—
557#388C2313yes—
558#388C2313yes—
559#388C2313yes—
560#388C2313yes—
561#387C2313yes—
562#387C2316yes—
563#387C2313yes—
564#387C2313yes—
565#387C2311yescharacteristic
566#387C2311yescharacteristic
567#387C2313yes—
568#387C2311yescharacteristic
569#387C2311yescharacteristic
570#386C2316yes—
571#386C2316yes—
572#386C2316yes—
573#386C2316yes—
574#386C2316yes—
575#386C2316yes—
576#386C2313yes—
577#386C2313yes—
578#386C2316yes—
579#386C2316yes—
580#386C2316yes—
581#386C2316yes—
582#386C2313yes—
583#386C2313yes—
584#386C2313yes—
585#386C2313yes—
586#386C2313yes—
587#386C2313yes—
588#386C2313yes—
589#386C2313yes—
590#386C2316yes—
591#386C2313yes—
592#386C2313yes—
593#386C2313yes—
594#386C2316yes—
595#386C2316yes—
596#386C2316yes—
597#386C2316yes—
598#386C2313yes—
599#386C2316yes—
600#386C2313yes—
601#386C2316yes—
602#385C2313yes—
603#385C2316yes—
604#385C2313yes—
605#385C2313yes—
606#385C2313yes—
607#385C2316yes—
608#385C2313yes—
609#385C2313yes—
610#385C2313yes—
611#384C2313yes—
612#382C2313yes—
613#382C2313yes—
614#382C2313yes—
615#381C2313yes—
616#381C2316yes—
617#380C2313yes—
618#380C2313yes—
619#380C2313yes—
620#380C2313yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625#380C2313yes—
626#380C2313yes—
627#380C2313yes—
628#380C2313yes—
629#380C2313yes—
630#380C2313yes—
631#379C2316yes—
632#379C2316yes—
633#379C2316yes—
634#379C2316yes—
635#379C2316yes—
636#379C2316yes—
637C4×C4⋊C4C2313yes—
638C4×C4⋊C4C2313yes—
639C4×C4⋊C4C2313yes—
640C4×C4⋊C4C2313yes—
641C4×C4⋊C4C2313yes—
642C4×C4⋊C4C2313yes—
643C4×C4⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2313yes—
655C4×C22⋊C4C2313yes—
656C4×C22⋊C4C2316yes—
657C4×C22⋊C4C2316yes—
658#376C2313yes—
659C25C2416yes—
660C25C2416yes—
661H(5,𝔽2)—464no—
662H(5,𝔽2)—464no—
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—24no—
675C2×#41—24no—
676C2×#41—24no—
677C2×#41—24no—
678C2×#41—224no—
679C2×#41—212no—
680C2×#41—212no—
681C2×#41—212no—
682C2×#41—212no—
683C2×#41—46no—
684C2×#41—46no—
685C2×#41—412no—
686C2×#41—86no—
687C2×#41C2×D418yes—
688C2×#41C2×D418yes—
689C2×#41#4118yescomplemented
690C22×Q8C2413yes—
691C22×Q8C2411yescharacteristic
692C22×Q8C2411yescharacteristic
693C22×Q8C2411yescharacteristic
694C22×D4—212no—
695C22×D4—212no—
696C22×D4—212no—
697C22×D4—212no—
698C22×D4—212no—
699C22×D4—212no—
700C22×D4—212no—
701C22×D4—212no—
702C22×D4—224no—
703C22×D4—224no—
704C22×D4—212no—
705C22×D4—212no—
706C22×D4—212no—
707C22×D4—212no—
708C22×D4—46no—
709C22×D4—46no—
710C22×D4—46no—
711C22×D4—46no—
712C22×D4—46no—
713C22×D4—46no—
714C22×D4—412no—
715C22×D4—86no—
716C22×D4—86no—
717C22×D4—86no—
718C22×D4C2413yes—
719C22×D4C2413yes—
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2413yes—
726C22×D4C2413yes—
727C22×D4C2413yes—
728C22×D4C2413yes—
729C22×D4C2413yes—
730C22×D4C2413yes—
731C22×D4C2413yes—
732C22×D4C2413yes—
733C22×D4C2416yes—
734C22×D4C2413yes—
735C22×D4C2416yes—
736C22×D4C2413yes—
737C22×D4C2413yes—
738C22×D4C2413yes—
739C22×D4C2416yes—
740C22×D4C2416yes—
741C22×D4C2416yes—
742C22×D4C2416yes—
743C22×D4C2413yes—
744C22×D4C2416yes—
745C22×D4C2416yes—
746C22×D4C2416yes—
747C22×D4C2413yes—
748C23×C4C2413yes—
749C23×C4C2413yes—
750C23×C4C2413yes—
751C23×C4C2413yes—
752C23×C4C2413yes—
753C23×C4C2413yes—
754C23×C4C2413yes—
755C23×C4C2413yes—
756C23×C4C2416yes—
757C23×C4C2413yes—
758C23×C4C2413yes—
759C23×C4C2416yes—
760C23×C4C2413yes—
761C23×C4C2416yes—
762C23×C4C2413yes—
763C4⋊Q8—24no—
764C4⋊Q8—212no—
765#127—212no—
766#127—224no—
767#127—212no—
768#127—212no—
769#127—212no—
770#127—212no—
771#127—212no—
772#127—212no—
773#127—46no—
774#127—46no—
775#127C2×D4124yes—
776#126—212no—
777#126—212no—
778#125—24no—
779#125—212no—
780#125—212no—
781#124—212no—
782#124—212no—
783#124—212no—
784#124—412no—
785#123—212no—
786#123—224no—
787#123—212no—
788#123—212no—
789#123—224no—
790#123—412no—
791#123—86no—
792C22⋊Q8—212no—
793C22⋊Q8—212no—
794#121—212no—
795#121—224no—
796#121—212no—
797#121—212no—
798#121—212no—
799#121—212no—
800#121—224no—
801#121—224no—
802#121—212no—
803#121—212no—
804#121—212no—
805#121—212no—
806#121—212no—
807#121—212no—
808#121—212no—
809#121—212no—
810#121—212no—
811#121—212no—
812#121—212no—
813#121—212no—
814#121—212no—
815#121—412no—
816#121—412no—
817#121—46no—
818#121—46no—
819#121—46no—
820#121—46no—
821#121—86no—
822#121—86no—
823#121—86no—
824#121—86no—
825#121C2×D4124yes—
826#121C2×D4124yes—
827#120—224no—
828#120—224no—
829#120—224no—
830#120—224no—
831#120—412no—
832#120—412no—
833#120—86no—
834#120—86no—
835#120—86no—
836#120—86no—
837C4×Q8—24no—
838C4×Q8—24no—
839C4×Q8—24no—
840C4×Q8—24no—
841C4×Q8—24no—
842C4×Q8—24no—
843C4×Q8—24no—
844C4×Q8—24no—
845C4×Q8—212no—
846C4×Q8C2×D418yes—
847C4×D4—212no—
848C4×D4—212no—
849C4×D4—212no—
850C4×D4—212no—
851C4×D4—212no—
852C4×D4—212no—
853C4×D4—212no—
854C4×D4—212no—
855C4×D4—212no—
856C4×D4—212no—
857C4×D4—212no—
858C4×D4—224no—
859C4×D4—212no—
860C4×D4—212no—
861C4×D4—212no—
862C4×D4—46no—
863C4×D4—46no—
864C4×D4—46no—
865C4×D4—46no—
866C4×D4—46no—
867C4×D4—46no—
868C4×D4—412no—
869C4×D4—412no—
870C4×D4C2×D4124yes—
871#117—212no—
872#117—212no—
873#117—212no—
874#117—212no—
875#117—46no—
876#117—46no—
877C2×C4⋊C4—212no—
878C2×C4⋊C4—212no—
879C2×C4⋊C4—46no—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2416yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2413yes—
902C2×C4⋊C4C2413yes—
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2413yes—
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2413yes—
910C2×C4⋊C4C2413yes—
911C2×C4⋊C4C2413yes—
912C2×C4⋊C4C2416yes—
913C2×C4⋊C4C2413yes—
914C2×C4⋊C4C2413yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C22⋊C4—412no—
918C2×C22⋊C4—412no—
919C2×C22⋊C4—86no—
920C2×C22⋊C4—86no—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2416yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2416yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
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⋊C4C2416yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2416yes—
952C2×C22⋊C4C2416yes—
953C2×C22⋊C4C2416yes—
954C2×C22⋊C4C2416yes—
955C2×C22⋊C4C2416yes—
956C2×C22⋊C4C2416yes—
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2416yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2416yes—
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2413yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2416yes—
974C2×C22⋊C4C2416yes—
975C2×C22⋊C4C2416yes—
976C2×C22⋊C4C2413yes—
977C2×C22⋊C4C2413yes—
978C2×C22⋊C4C2413yes—
979C2×C22⋊C4C2416yes—
980C2×C22⋊C4C2413yes—
981C2×C22⋊C4C2413yes—
982C2×C22⋊C4C2413yes—
983C2×C22⋊C4C2413yes—
984C2×C42—212no—
985C2×C42—212no—
986C2×C42—46no—
987C2×C42C2413yes—
988C2×C42C2413yes—
989C2×C42C2413yes—
990C2×C42C2413yes—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2413yes—
995C2×C42C2413yes—
996C2×C42C2413yes—
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2413yes—
1000C2×C42C2416yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2413yes—
1003#95C2411yescharacteristic
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2411yescharacteristic
1010#95C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2411yescharacteristic
1013#95C2411yescharacteristic
1014#95C2411yescharacteristic
1015#95C2411yescharacteristic
1016#95C2411yescharacteristic
1017#95C2411yescharacteristic
1018#95C2411yescharacteristic
1019#95C2411yescharacteristic
1020#95C2411yescharacteristic
1021#95C2413yes—
1022#95C2413yes—
1023#95C2413yes—
1024#95C2413yes—
1025#95C2413yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2413yes—
1029#95C2413yes—
1030#95C2413yes—
1031#95C2416yes—
1032#95C2416yes—
1033#95C2411yescharacteristic
1034#95C2411yescharacteristic
1035#95C2411yescharacteristic
1036#95C2413yes—
1037#95C2413yes—
1038#95C2413yes—
1039#95C2413yes—
1040#95C2413yes—
1041#95C2416yes—
1042C24—212no—
1043C24—212no—
1044C24—212no—
1045C24—212no—
1046C24—46no—
1047C24—46no—
1048C24—46no—
1049C24—46no—
1050C24—46no—
1051C24—46no—
1052C24—46no—
1053C24—46no—
1054C24—46no—
1055C24—46no—
1056C24C2513yes—
1057C24C2513yes—
1058C24C2513yes—
1059C24C2513yes—
1060C24C2513yes—
1061C24C2513yes—
1062#41—232no—
1063#41—232no—
1064#41—232no—
1065#41—448no—
1066#41—448no—
1067#41—416no—
1068#41—416no—
1069#41—416no—
1070#41—848no—
1071C2×Q8—26no—
1072C2×Q8—22no—
1073C2×Q8—22no—
1074C2×Q8—22no—
1075C2×Q8—22no—
1076C2×Q8—26no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—43no—
1080C2×Q8C22×D414yes—
1081C2×Q8C2×#4114yes—
1082C2×Q8H(5,𝔽2)14yes—
1083C2×D4—26no—
1084C2×D4—26no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—26no—
1089C2×D4—26no—
1090C2×D4—26no—
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—212no—
1101C2×D4—26no—
1102C2×D4—26no—
1103C2×D4—26no—
1104C2×D4—26no—
1105C2×D4—26no—
1106C2×D4—26no—
1107C2×D4—26no—
1108C2×D4—212no—
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—26no—
1119C2×D4—26no—
1120C2×D4—26no—
1121C2×D4—26no—
1122C2×D4—26no—
1123C2×D4—26no—
1124C2×D4—26no—
1125C2×D4—26no—
1126C2×D4—448no—
1127C2×D4—448no—
1128C2×D4—448no—
1129C2×D4—448no—
1130C2×D4—46no—
1131C2×D4—43no—
1132C2×D4—43no—
1133C2×D4—43no—
1134C2×D4—43no—
1135C2×D4—43no—
1136C2×D4—43no—
1137C2×D4—43no—
1138C2×D4—43no—
1139C2×D4—43no—
1140C2×D4—43no—
1141C2×D4—43no—
1142C2×D4—43no—
1143C2×D4—46no—
1144C2×D4—43no—
1145C2×D4—46no—
1146C2×D4—43no—
1147C2×D4—43no—
1148C2×D4—46no—
1149C2×D4—46no—
1150C2×D4—43no—
1151C2×D4—43no—
1152C2×D4—43no—
1153C2×D4—43no—
1154C2×D4—46no—
1155C2×D4—46no—
1156C2×D4—46no—
1157C2×D4—46no—
1158C2×D4—43no—
1159C2×D4—43no—
1160C2×D4—43no—
1161C2×D4—46no—
1162C2×D4—46no—
1163C2×D4—46no—
1164C2×D4—46no—
1165C2×D4—46no—
1166C2×D4—46no—
1167C2×D4—46no—
1168C2×D4—46no—
1169C2×D4—46no—
1170C2×D4—46no—
1171C2×D4—46no—
1172C2×D4—448no—
1173C2×D4—448no—
1174C2×D4—848no—
1175C2×D4—848no—
1176C2×D4C22×D4112yes—
1177C2×D4C22×D4112yes—
1178C2×D4C22×D4112yes—
1179C2×D4C22×D4124yes—
1180C2×D4C2×#41112yes—
1181C22×C4—26no—
1182C22×C4—26no—
1183C22×C4—26no—
1184C22×C4—26no—
1185C22×C4—26no—
1186C22×C4—26no—
1187C22×C4—26no—
1188C22×C4—26no—
1189C22×C4—212no—
1190C22×C4—26no—
1191C22×C4—26no—
1192C22×C4—26no—
1193C22×C4—26no—
1194C22×C4—26no—
1195C22×C4—26no—
1196C22×C4—26no—
1197C22×C4—26no—
1198C22×C4—26no—
1199C22×C4—26no—
1200C22×C4—26no—
1201C22×C4—26no—
1202C22×C4—26no—
1203C22×C4—212no—
1204C22×C4—26no—
1205C22×C4—43no—
1206C22×C4—43no—
1207C22×C4—43no—
1208C22×C4—43no—
1209C22×C4—43no—
1210C22×C4—43no—
1211C22×C4—46no—
1212C22×C4—43no—
1213C22×C4—43no—
1214C22×C4—46no—
1215C22×C4—46no—
1216C22×C4—43no—
1217C22×C4—43no—
1218C22×C4—46no—
1219C22×C4—43no—
1220C22×C4—46no—
1221C22×C4—46no—
1222C22×C4—46no—
1223C22×C4C22×D4112yes—
1224C22×C4C22×D4112yes—
1225C22×C4C2×#41112yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2513yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2513yes—
1233C22×C4C2513yes—
1234C22×C4C2513yes—
1235C22×C4C2513yes—
1236C22×C4C2513yes—
1237C22×C4C2513yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2513yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2513yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2513yes—
1251C4⋊C4—26no—
1252C4⋊C4—26no—
1253C4⋊C4—26no—
1254C4⋊C4—26no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—26no—
1258C4⋊C4—26no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—212no—
1265C4⋊C4—22no—
1266C4⋊C4—26no—
1267C4⋊C4—26no—
1268C4⋊C4—22no—
1269C4⋊C4—26no—
1270C4⋊C4—26no—
1271C4⋊C4—26no—
1272C4⋊C4—26no—
1273C4⋊C4—26no—
1274C4⋊C4—26no—
1275C4⋊C4—26no—
1276C4⋊C4—43no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—43no—
1281C4⋊C4—43no—
1282C4⋊C4—43no—
1283C4⋊C4—46no—
1284C4⋊C4—43no—
1285C4⋊C4C22×D4112yes—
1286C4⋊C4C22×D414yes—
1287C4⋊C4H(5,𝔽2)14yescomplemented
1288C22⋊C4—26no—
1289C22⋊C4—212no—
1290C22⋊C4—26no—
1291C22⋊C4—26no—
1292C22⋊C4—26no—
1293C22⋊C4—26no—
1294C22⋊C4—26no—
1295C22⋊C4—26no—
1296C22⋊C4—212no—
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—26no—
1307C22⋊C4—26no—
1308C22⋊C4—26no—
1309C22⋊C4—26no—
1310C22⋊C4—26no—
1311C22⋊C4—26no—
1312C22⋊C4—26no—
1313C22⋊C4—46no—
1314C22⋊C4—46no—
1315C22⋊C4—46no—
1316C22⋊C4—43no—
1317C22⋊C4—43no—
1318C22⋊C4—43no—
1319C22⋊C4—43no—
1320C22⋊C4—46no—
1321C22⋊C4—46no—
1322C22⋊C4—46no—
1323C22⋊C4—46no—
1324C22⋊C4—43no—
1325C22⋊C4—43no—
1326C22⋊C4—46no—
1327C22⋊C4—46no—
1328C22⋊C4—43no—
1329C22⋊C4—43no—
1330C22⋊C4—43no—
1331C22⋊C4—43no—
1332C22⋊C4—46no—
1333C22⋊C4—43no—
1334C22⋊C4—43no—
1335C22⋊C4—43no—
1336C22⋊C4—43no—
1337C22⋊C4—43no—
1338C22⋊C4—43no—
1339C22⋊C4—43no—
1340C22⋊C4—43no—
1341C22⋊C4—46no—
1342C22⋊C4—46no—
1343C22⋊C4—43no—
1344C22⋊C4—43no—
1345C22⋊C4—46no—
1346C22⋊C4—43no—
1347C22⋊C4—43no—
1348C22⋊C4—43no—
1349C22⋊C4C22×D4112yes—
1350C22⋊C4C22×D4112yes—
1351C42—22no—
1352C42—22no—
1353C42—26no—
1354C42—26no—
1355C42—26no—
1356C42—26no—
1357C42—26no—
1358C42—26no—
1359C42—26no—
1360C42—26no—
1361C42—26no—
1362C42—26no—
1363C42—41no—
1364C42—43no—
1365C42—46no—
1366C42C22×D4112yes—
1367C23—23no—
1368C23—23no—
1369C23—23no—
1370C23—23no—
1371C23—23no—
1372C23—23no—
1373C23—23no—
1374C23—23no—
1375C23—23no—
1376C23—23no—
1377C23—23no—
1378C23—23no—
1379C23—23no—
1380C23—23no—
1381C23—23no—
1382C23—23no—
1383C23—23no—
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—23no—
1399C23—23no—
1400C23—23no—
1401C23—23no—
1402C23—23no—
1403C23—23no—
1404C23—23no—
1405C23—23no—
1406C23—424no—
1407C23—424no—
1408C23—812no—
1409C23—812no—
1410C23—812no—
1411C23—812no—
1412C23—812no—
1413C23—812no—
1414C23—812no—
1415C23—812no—
1416C23—166no—
1417C23—166no—
1418C23—166no—
1419C23—166no—
1420C23C23×D416yes—
1421C23C23×D416yes—
1422C23C22×#4116yes—
1423C23C2611yescharacteristic
1424Q8—44no—
1425Q8—44no—
1426Q8—412no—
1427Q8#546116yescomplemented
1428D4—224no—
1429D4—224no—
1430D4—224no—
1431D4—412no—
1432D4—424no—
1433D4—412no—
1434D4—412no—
1435D4—412no—
1436D4—412no—
1437D4—412no—
1438D4—412no—
1439D4—412no—
1440D4—412no—
1441D4—412no—
1442D4—412no—
1443D4—412no—
1444D4—412no—
1445D4—412no—
1446D4—86no—
1447D4—812no—
1448D4—812no—
1449D4—812no—
1450D4—86no—
1451D4—86no—
1452D4—812no—
1453D4—812no—
1454D4—812no—
1455D4—86no—
1456D4—166no—
1457D4—166no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—23no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—23no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—224no—
1475C2×C4—224no—
1476C2×C4—224no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—23no—
1480C2×C4—23no—
1481C2×C4—23no—
1482C2×C4—23no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—23no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—23no—
1494C2×C4—23no—
1495C2×C4—23no—
1496C2×C4—23no—
1497C2×C4—23no—
1498C2×C4—23no—
1499C2×C4—23no—
1500C2×C4—23no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—23no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—23no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—23no—
1514C2×C4—23no—
1515C2×C4—23no—
1516C2×C4—23no—
1517C2×C4—23no—
1518C2×C4—23no—
1519C2×C4—23no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—23no—
1524C2×C4—23no—
1525C2×C4—412no—
1526C2×C4—412no—
1527C2×C4—412no—
1528C2×C4—412no—
1529C2×C4—412no—
1530C2×C4—412no—
1531C2×C4—86no—
1532C2×C4—812no—
1533C2×C4—86no—
1534C2×C4—812no—
1535C2×C4—86no—
1536C2×C4—166no—
1537C2×C4C23×D412yes—
1538C2×C4C23×D412yes—
1539C2×C4C23×D416yes—
1540C2×C4C23×D412yes—
1541C2×C4C23×D416yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4116yes—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×H(5,𝔽2)16yes—
1548C22—26no—
1549C22—26no—
1550C22—26no—
1551C22—26no—
1552C22—26no—
1553C22—26no—
1554C22—26no—
1555C22—26no—
1556C22—26no—
1557C22—43no—
1558C22—43no—
1559C22—43no—
1560C22—43no—
1561C22—43no—
1562C22—43no—
1563C22—43no—
1564C22—43no—
1565C22—43no—
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—43no—
1581C22—43no—
1582C22—43no—
1583C22—43no—
1584C22—43no—
1585C22—43no—
1586C22—43no—
1587C22—43no—
1588C22—43no—
1589C22—43no—
1590C22—1624no—
1591C22—1624no—
1592C22C24×D411yescharacteristic
1593C22C23×#4111yescharacteristic
1594C22C22×H(5,𝔽2)11yescharacteristic
1595C22C22×H(5,𝔽2)11yescharacteristic
1596C22H(7,𝔽2)11yescharacteristic
1597C22H(7,𝔽2)11yescharacteristic
1598C22H(7,𝔽2)11yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—26no—
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—22no—
1606C4—22no—
1607C4—43no—
1608C4—43no—
1609C4—43no—
1610C4—41no—
1611C4—43no—
1612C4—41no—
1613C4—43no—
1614C4—41no—
1615C4—43no—
1616C4—41no—
1617C4—41no—
1618C4—43no—
1619C4—43no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4C2×#546112yes—
1624C2—46no—
1625C2—46no—
1626C2—46no—
1627C2—83no—
1628C2—83no—
1629C2—83no—
1630C2C22×#54611yescharacteristic
1631C2#6285211yescharacteristic
1632C2#6285811yescharacteristic
1633C2#6291611yescharacteristic
1634C2D4×H(5,𝔽2)11yescharacteristic
1635C2#6298611yescharacteristic
1636C2#6306611yescharacteristic
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×#3498C2semidirect
2. C2×#3517C2semidirect
3. #59808C2semidirect
4. #59124C2semidirect
5. #59095C2semidirect
6. #52139C2semidirect
7. #45352C2semidirect
8. #45105C2semidirect
9. #44936C2semidirect
10. #44881C2semidirect
11. #44872C2semidirect
12. #44871C2semidirect
13. #39462C2semidirect
14. #39434C2semidirect
15. #38080C2semidirect
16. #38026C2semidirect
17. #37782C2semidirect
18. #37694C2semidirect
19. #36455C2semidirect
20. #36433C2semidirect
21. #36431C2semidirect
22. #36091C2semidirect
23. #36091C2semidirect
24. #36076C2semidirect
25. #36049C2semidirect
26. #36029C2semidirect
27. #36029C2semidirect
28. #34295C2semidirect
29. #34295C2semidirect
30. #34258C2semidirect
31. #34258C2semidirect
36. C2×#557C22semidirect
37. C2×#553C22semidirect
38. C2×#553C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
46. C2×#550C22semidirect
47. C2×#550C22semidirect
48. C2×#550C22semidirect
49. C2×#547C22semidirect
50. C2×#546C22semidirect
55. C2×#540C22semidirect
56. C2×#540C22semidirect
60. C2×#532C22semidirect
62. C2×#529C22semidirect
63. C2×#520C22semidirect
64. C2×#520C22semidirect
65. C2×#520C22semidirect
67. C2×C4×#41C22semidirect
68. C2×C4×#41C22semidirect
69. #2856C22semidirect
70. #2854C22semidirect
71. #2851C22semidirect
72. #2716C22semidirect
73. #2715C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2713C22semidirect
77. #2712C22semidirect
78. #2711C22semidirect
79. #2710C22semidirect
80. #2709C22semidirect
81. #2709C22semidirect
82. #2708C22semidirect
83. #2703C22semidirect
84. #2700C22semidirect
85. #2697C22semidirect
86. #2691C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2685C22semidirect
90. #2681C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2676C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2670C22semidirect
99. #2668C22semidirect
100. #2668C22semidirect
101. #2641C22semidirect
102. #2624C22semidirect
103. #2619C22semidirect
104. #2619C22semidirect
105. #2615C22semidirect
106. #2615C22semidirect
107. #2580C22semidirect
108. #2566C22semidirect
109. #2562C22semidirect
110. #2557C22semidirect
111. #2548C22semidirect
112. #2541C22semidirect
113. #2541C22semidirect
114. #2541C22semidirect
115. #2539C22semidirect
116. #2537C22semidirect
117. #2535C22semidirect
118. #2535C22semidirect
119. #2534C22semidirect
120. #2504C22semidirect
121. #2500C22semidirect
122. #2491C22semidirect
123. #2491C22semidirect
124. #2490C22semidirect
125. #2490C22semidirect
126. #2486C22semidirect
127. #2485C22semidirect
128. #2472C22semidirect
129. #2464C22semidirect
130. #2459C22semidirect
131. #2456C22semidirect
132. #2454C22semidirect
133. #2452C22semidirect
134. #2445C22semidirect
135. #2445C22semidirect
136. #2445C22semidirect
137. #2445C22semidirect
138. #2441C22semidirect
139. #2439C22semidirect
140. #2433C22semidirect
141. #2433C22semidirect
142. #2433C22semidirect
143. #2433C22semidirect
144. #2433C22semidirect
145. #2433C22semidirect
146. #2431C22semidirect
147. #2428C22semidirect
148. #2428C22semidirect
149. #2428C22semidirect
150. #2428C22semidirect
151. #2428C22semidirect
152. #2428C22semidirect
153. #2428C22semidirect
154. #2424C22semidirect
155. #2424C22semidirect
156. #2424C22semidirect
157. #2422C22semidirect
158. #2420C22semidirect
159. #2420C22semidirect
160. #2420C22semidirect
161. #2416C22semidirect
162. #2416C22semidirect
163. #2416C22semidirect
164. #2416C22semidirect
165. #2414C22semidirect
166. #2414C22semidirect
167. #2410C22semidirect
168. #2410C22semidirect
169. #2410C22semidirect
170. #2410C22semidirect
171. #2408C22semidirect
172. #2408C22semidirect
173. #2408C22semidirect
174. #2408C22semidirect
175. #2408C22semidirect
176. #2408C22semidirect
177. #2408C22semidirect
178. #2405C22semidirect
179. #2405C22semidirect
180. #2404C22semidirect
181. #2404C22semidirect
182. #2398C22semidirect
183. #2395C22semidirect
184. #2392C22semidirect
185. #2392C22semidirect
186. #2388C22semidirect
187. #2388C22semidirect
188. #2366C22semidirect
189. #2366C22semidirect
190. #2363C22semidirect
191. #2363C22semidirect
192. #2361C22semidirect
193. #2361C22semidirect
194. #2352C22semidirect
195. #2352C22semidirect
196. #2351C22semidirect
197. #2351C22semidirect
198. #2351C22semidirect
199. Q8×C4⋊C4C22semidirect
203. #2341C22semidirect
204. #2341C22semidirect
205. #2341C22semidirect
206. #2341C22semidirect
207. #2341C22semidirect
208. #2341C22semidirect
209. #2341C22semidirect
210. #2341C22semidirect
211. #2341C22semidirect
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. D4×C22⋊C4C22semidirect
219. D4×C22⋊C4C22semidirect
220. #2328C22semidirect
221. #2328C22semidirect
222. #2324C22semidirect
223. #2324C22semidirect
224. #2311C22semidirect
225. #2311C22semidirect
226. #2309C22semidirect
227. #2309C22semidirect
228. C4×C22⋊Q8C22semidirect
229. C4×#123C22semidirect
230. C4×#121C22semidirect
231. C4×#121C22semidirect
232. C4×#121C22semidirect
233. #2297C22semidirect
234. #2297C22semidirect
235. C2×#390C22semidirect
236. C2×#390C22semidirect
237. #2290C22semidirect
238. #2290C22semidirect
239. #2276C22semidirect
275. #550D4semidirect
689. C2×#41#41semidirect
1287. C4⋊C4H(5,𝔽2)semidirect
1427. Q8#546semidirect

Maximal subgroups

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

subgroupindex
C2×#34982
C2×#35172
#598082
#591242
#590952
#521392
#453522
#451052
#449362
#448812
#448722
#448712
#394622
#394342
#380802
#380262
#377822
#376942
#364552
#364332
#364312
#360912
#360762
#360492
#360292
#342952
#342582