Finite Group Databasebeta

← #7657771

Subgroups — #7657771

Order 512.

8683 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3487C211yesmaximal, characteristic, complemented
2C2×D4×#41C211yesmaximal, characteristic, complemented
3#42951C213yesmaximal, complemented
4#42950C213yesmaximal, complemented
5#42927C213yesmaximal, complemented
6#42926C213yesmaximal, complemented
7#42435C213yesmaximal, complemented
8#42432C213yesmaximal, complemented
9#42422C213yesmaximal, complemented
10#42420C213yesmaximal, complemented
11#39865C213yesmaximal, complemented
12#39864C213yesmaximal, complemented
13#39861C213yesmaximal, complemented
14#39860C213yesmaximal, complemented
15#37455C213yesmaximal, complemented
16#37444C213yesmaximal, complemented
17#36433C211yesmaximal, characteristic, complemented
18#36432C211yesmaximal, characteristic, complemented
19#36429C211yesmaximal, characteristic, complemented
20#36428C211yesmaximal, characteristic, complemented
21#36029C211yesmaximal, characteristic, complemented
22#35831C211yesmaximal, characteristic, complemented
23#35831C211yesmaximal, characteristic, complemented
24#35801C211yesmaximal, characteristic, complemented
25#35757C211yesmaximal, characteristic, complemented
26#35737C211yesmaximal, characteristic, complemented
27#35723C211yesmaximal, characteristic, complemented
28#35687C211yesmaximal, characteristic, complemented
29#35077C213yesmaximal, complemented
30#34562C213yesmaximal, complemented
31#34175C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C23×#41C2211yescharacteristic
34C23×#41C2211yescharacteristic
35#3487—216no—
36D4×#41—216no—
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2213yescomplemented
40C2×#550C2213yescomplemented
41C2×#550C2211yescharacteristic, complemented
42C2×#550C2211yescharacteristic, complemented
43C2×D4×Q8C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic, complemented
49C2×#548C2213yescomplemented
50C2×#548C2213yescomplemented
51C2×#548C2211yescharacteristic, complemented
52C2×#548C2211yescharacteristic, complemented
53C2×#547C2213yes—
54C2×#546C2213yes—
55C2×#546C2213yes—
56C2×D42C2213yes—
57C2×#535C2213yescomplemented
58C2×#535C2213yescomplemented
59C2×#532C2213yes—
60C2×#525C2213yes—
61C2×#525C2213yes—
62C2×#525C2213yescomplemented
63C2×#525C2213yescomplemented
64C2×#520C2211yescharacteristic, complemented
65C2×#520C2211yescharacteristic, complemented
66C2×#519C2211yescharacteristic, complemented
67C2×C4×#41C2211yescharacteristic
68C22×C4×D4C2213yes—
69#2855C2213yescomplemented
70#2854C2213yescomplemented
71#2848C2213yescomplemented
72#2847C2213yescomplemented
73#2814C2216yescomplemented
74#2813C2216yescomplemented
75#2812C2216yescomplemented
76#2812C2216yescomplemented
77#2717C2216yescomplemented
78#2709C2216yescomplemented
79#2708C2216yescomplemented
80#2708C2216yescomplemented
81#2688C2216yescomplemented
82#2688C2216yescomplemented
83#2686C2216yescomplemented
84#2686C2216yescomplemented
85#2684C2216yescomplemented
86#2673C2216yescomplemented
87#2673C2216yescomplemented
88#2671C2216yescomplemented
89#2671C2216yescomplemented
90#2669C2216yescomplemented
91#2668C2216yescomplemented
92#2668C2216yescomplemented
93#2638C2213yescomplemented
94#2638C2213yescomplemented
95#2635C2213yescomplemented
96#2635C2213yescomplemented
97#2630C2211yescharacteristic
98#2630C2213yes—
99#2630C2213yescomplemented
100#2630C2213yescomplemented
101#2630C2216yescomplemented
102#2630C2216yescomplemented
103#2630C2216yescomplemented
104#2627C2213yescomplemented
105#2626C2213yescomplemented
106#2625C2213yescomplemented
107#2624C2213yescomplemented
108#2622C2213yescomplemented
109#2622C2213yescomplemented
110#2621C2213yescomplemented
111#2620C2213yescomplemented
112#2620C2213yescomplemented
113#2619C2213yescomplemented
114#2618C2213yescomplemented
115#2617C2213yescomplemented
116#2617C2216yescomplemented
117#2617C2216yescomplemented
118#2616C2213yescomplemented
119#2615C2213yescomplemented
120#2613C2213yes—
121#2613C2213yes—
122#2600C2216yescomplemented
123#2600C2216yescomplemented
124#2579C2216yescomplemented
125#2564C2216yescomplemented
126#2547C2213yescomplemented
127#2544C2213yescomplemented
128#2544C2213yescomplemented
129#2543C2216yescomplemented
130#2541C2213yescomplemented
131#2537C2213yescomplemented
132#2537C2213yescomplemented
133#2535C2213yescomplemented
134#2535C2213yescomplemented
135#2534C2216yescomplemented
136#2500C2213yescomplemented
137#2500C2213yescomplemented
138#2499C2213yescomplemented
139#2499C2213yescomplemented
140#2485C2213yes—
141#2485C2213yescomplemented
142#2485C2213yescomplemented
143#2485C2213yescomplemented
144#2448C2213yescomplemented
145#2448C2213yescomplemented
146#2447C2213yescomplemented
147#2447C2213yescomplemented
148#2446C2213yescomplemented
149#2446C2213yescomplemented
150#2445C2213yescomplemented
151#2445C2213yescomplemented
152#2436C2213yescomplemented
153#2435C2213yescomplemented
154#2434C2213yescomplemented
155#2433C2213yescomplemented
156#2432C2213yescomplemented
157#2432C2213yescomplemented
158#2432C2213yescomplemented
159#2432C2213yescomplemented
160#2431C2213yescomplemented
161#2431C2213yescomplemented
162#2431C2213yescomplemented
163#2431C2213yescomplemented
164#2428C2213yescomplemented
165#2428C2213yescomplemented
166#2428C2213yescomplemented
167#2428C2213yescomplemented
168#2427C2213yescomplemented
169#2427C2213yescomplemented
170#2427C2213yescomplemented
171#2427C2213yescomplemented
172#2423C2213yescomplemented
173#2423C2213yescomplemented
174#2422C2213yescomplemented
175#2422C2213yescomplemented
176#2421C2213yescomplemented
177#2421C2213yescomplemented
178#2420C2213yescomplemented
179#2420C2213yescomplemented
180#2417C2213yescomplemented
181#2417C2213yescomplemented
182#2417C2213yescomplemented
183#2417C2213yescomplemented
184#2416C2213yescomplemented
185#2416C2213yescomplemented
186#2416C2213yescomplemented
187#2416C2213yescomplemented
188#2412C2216yescomplemented
189#2410C2216yes—
190#2409C2213yescomplemented
191#2409C2213yescomplemented
192#2408C2213yescomplemented
193#2408C2213yescomplemented
194#2407C2213yes—
195#2407C2213yescomplemented
196#2407C2213yescomplemented
197#2407C2213yescomplemented
198#2407C2213yescomplemented
199#2407C2213yescomplemented
200#2407C2213yescomplemented
201#2407C2213yescomplemented
202#2395C2213yes—
203#2395C2213yescomplemented
204#2392C2213yescomplemented
205#2392C2213yescomplemented
206#2392C2213yescomplemented
207#2392C2213yescomplemented
208#2388C2213yes—
209#2388C2213yescomplemented
210#2351C2211yescharacteristic, complemented
211#2351C2211yescharacteristic, complemented
212Q8×C4⋊C4C2211yescharacteristic, complemented
213Q8×C4⋊C4C2211yescharacteristic, complemented
214#2341C2211yescharacteristic
215#2341C2211yescharacteristic
216#2341C2211yescharacteristic, complemented
217#2341C2211yescharacteristic, complemented
218#2341C2211yescharacteristic, complemented
219#2341C2211yescharacteristic, complemented
220Q8×C22⋊C4C2211yescharacteristic, complemented
221Q8×C22⋊C4C2211yescharacteristic, complemented
222Q8×C22⋊C4C2211yescharacteristic, complemented
223Q8×C22⋊C4C2211yescharacteristic, complemented
224Q8×C22⋊C4C2211yescharacteristic, complemented
225Q8×C22⋊C4C2211yescharacteristic, complemented
226#2339C2213yescomplemented
227#2339C2213yescomplemented
228D4×C22⋊C4C2213yescomplemented
229D4×C22⋊C4C2213yescomplemented
230#2325C2216yescomplemented
231#2325C2216yescomplemented
232#2311C2213yescomplemented
233#2311C2213yescomplemented
234C4×#123C2213yescomplemented
235C4×#123C2213yescomplemented
236C4×#120C2213yescomplemented
237C4×#120C2213yescomplemented
238#2280C2213yescomplemented
239C2×#380C2213yescomplemented
240C2×2−1+4—28no—
241C2×2−1+4—44no—
242C2×2−1+4—44no—
243C22×#41—28no—
244C22×#41—44no—
245C22×#41—44no—
246C22×#41—44no—
247C22×#41—44no—
248C22×#41D4116yescomplemented
249C22×#41C2311yescharacteristic
250C22×#41C2311yescharacteristic
251C22×#41C2311yescharacteristic
252C22×#41C2311yescharacteristic
253C22×#41C2313yes—
254C22×#41C2313yes—
255C22×#41C2313yes—
256C22×#41C2313yes—
257C22×#41C2313yes—
258C22×#41C2313yes—
259C22×#41C2313yes—
260C23×Q8C2311yescharacteristic
261C23×Q8C2311yescharacteristic
262C23×Q8C2311yescharacteristic
263C23×Q8C2313yes—
264C23×D4C2313yes—
265C23×D4C2313yes—
266C23×D4C2313yes—
267C24×C4C2313yes—
268C24×C4C2313yes—
269#550—28no—
270#550—28no—
271#550—28no—
272#550—224no—
273#550—224no—
274#550—44no—
275D4×Q8—28no—
276D4×Q8—44no—
277#548—28no—
278#548—28no—
279#548—28no—
280#548—224no—
281#548—224no—
282#548—28no—
283#548—44no—
284#548—44no—
285#547—224no—
286#546—224no—
287#546—224no—
288D42—224no—
289#535—224no—
290#535—224no—
291#532—224no—
292C2×C4⋊Q8C2313yes—
293C2×C4⋊Q8C2313yes—
294C2×#127C2316yes—
295C2×#127C2313yes—
296C2×#127C2313yes—
297C2×#127C2313yes—
298C2×#127C2313yes—
299C2×#124C2313yes—
300C2×#124C2313yes—
301C2×#124C2313yes—
302C2×#124C2316yes—
303C2×#124C2313yes—
304C2×#124C2313yes—
305C2×#124C2313yes—
306#525—224no—
307#525—224no—
308#525—224no—
309#525—224no—
310C2×#123C2311yescharacteristic
311C2×#123C2313yes—
312C2×#123C2316yes—
313C2×#123C2316yes—
314C2×#123C2313yes—
315C2×#123C2313yes—
316C2×#123C2316yes—
317C2×C22⋊Q8C2313yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2313yes—
323C2×C22⋊Q8C2313yes—
324C2×C22⋊Q8C2313yes—
325C2×C22⋊Q8C2313yes—
326C2×C22⋊Q8C2313yes—
327C2×C22⋊Q8C2313yes—
328C2×C22⋊Q8C2313yes—
329C2×#121C2313yes—
330C2×#121C2313yes—
331C2×#121C2313yes—
332C2×#121C2313yes—
333C2×#121C2313yes—
334C2×#121C2313yes—
335C2×#121C2313yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2316yes—
340C2×#121C2316yes—
341C2×#121C2316yes—
342C2×#121C2316yes—
343C2×#121C2313yes—
344C2×#121C2313yes—
345C2×#121C2316yes—
346C2×#121C2316yes—
347C2×#121C2313yes—
348C2×#121C2313yes—
349C2×#121C2313yes—
350C2×#121C2313yes—
351C2×#121C2316yes—
352C2×#121C2316yes—
353C2×#120C2313yes—
354C2×#120C2313yes—
355C2×#120C2316yes—
356C2×#120C2316yes—
357C2×#120C2316yes—
358C2×#120C2313yes—
359C2×#120C2313yes—
360C2×#120C2316yes—
361#520—44no—
362#520—44no—
363#519—28no—
364C4×#41—28no—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2313yes—
374C2×C4×Q8C2313yes—
375C2×C4×D4—224no—
376C2×C4×D4C2316yes—
377C2×C4×D4C2316yes—
378C2×C4×D4C2316yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2311yescharacteristic
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×D4C2313yes—
395C2×C4×D4C2313yes—
396C2×C4×D4C2313yes—
397C2×C4×D4C2313yes—
398C2×C4×D4C2313yes—
399C2×C4×D4C2313yes—
400C2×C4×D4C2313yes—
401C2×#117C2313yes—
402C2×#117C2313yes—
403C2×#117C2313yes—
404C2×#117C2313yes—
405C2×#117C2313yes—
406C22×C4⋊C4C2313yes—
407C22×C4⋊C4C2313yes—
408C22×C4⋊C4C2313yes—
409C22×C22⋊C4C2313yes—
410C22×C22⋊C4C2313yes—
411C22×C22⋊C4C2316yes—
412C22×C42C2313yes—
413#400C2316yes—
414#400C2313yes—
415#400C2313yes—
416#399C2316yes—
417#399C2313yes—
418#399C2313yes—
419#398C2313yes—
420#398C2316yes—
421#398C2313yes—
422#398C2313yes—
423#398C2313yes—
424#398C2316yes—
425#398C2311yescharacteristic
426#398C2313yes—
427#397C2316yes—
428#397C2316yes—
429#397C2313yes—
430#397C2316yes—
431#397C2313yes—
432#397C2313yes—
433#397C2316yes—
434#397C2316yes—
435#397C2311yescharacteristic
436#397C2313yes—
437#397C2313yes—
438#397C2313yes—
439#397C2313yes—
440#397C2313yes—
441#397C2313yes—
442#397C2316yes—
443#397C2316yes—
444#397C2316yes—
445#396C2313yes—
446#396C2316yes—
447#396C2311yescharacteristic
448#396C2313yes—
449#396C2313yes—
450#396C2313yes—
451#396C2316yes—
452#396C2311yescharacteristic
453#396C2313yes—
454#396C2313yes—
455#395C2316yes—
456#395C2313yes—
457#395C2313yes—
458#394C2316yes—
459#394C2316yes—
460#394C2316yes—
461#394C2316yes—
462#394C2311yescharacteristic
463#394C2313yes—
464#394C2313yes—
465#394C2313yes—
466#394C2313yes—
467#394C2313yes—
468#394C2313yes—
469#394C2313yes—
470#394C2313yes—
471#394C2316yes—
472#394C2316yes—
473#394C2311yescharacteristic
474#394C2313yes—
475#394C2316yes—
476#394C2313yes—
477#394C2313yes—
478#394C2316yes—
479#394C2316yes—
480#394C2316yes—
481#394C2316yes—
482#394C2313yes—
483#394C2313yes—
484#394C2316yes—
485#394C2311yescharacteristic
486#394C2313yes—
487#394C2313yes—
488#394C2313yes—
489#394C2313yes—
490#394C2313yes—
491#394C2313yes—
492#394C2316yes—
493#394C2316yes—
494#394C2316yes—
495#394C2316yes—
496#393C2316yes—
497#393C2313yes—
498#393C2313yes—
499#392C2316yes—
500#392C2316yes—
501#392C2311yescharacteristic
502#392C2313yes—
503#392C2313yes—
504#392C2313yes—
505#392C2313yes—
506#392C2313yes—
507#392C2313yes—
508#392C2313yes—
509#392C2316yes—
510#392C2316yes—
511#392C2313yes—
512#392C2313yes—
513#392C2316yes—
514#392C2316yes—
515#392C2316yes—
516#392C2316yes—
517#391C2313yes—
518#391C2313yes—
519#391C2313yes—
520#391C2313yes—
521#391C2313yes—
522#391C2313yes—
523#391C2313yes—
524#391C2313yes—
525#391C2313yes—
526#391C2313yes—
527#391C2313yes—
528#391C2313yes—
529#390C2313yes—
530#390C2313yes—
531#390C2313yes—
532#390C2313yes—
533#390C2313yes—
534#390C2313yes—
535#390C2313yes—
536#390C2313yes—
537#390C2313yes—
538#390C2313yes—
539#390C2313yes—
540#390C2313yes—
541#389C2313yes—
542#389C2313yes—
543#389C2313yes—
544#389C2313yes—
545#389C2313yes—
546#389C2313yes—
547#389C2313yes—
548#389C2313yes—
549#388C2313yes—
550#388C2316yes—
551#388C2316yes—
552#388C2316yes—
553#388C2313yes—
554#388C2316yes—
555#388C2316yes—
556#388C2311yescharacteristic
557#388C2313yes—
558#387C2313yes—
559#387C2316yes—
560#387C2316yes—
561#387C2316yes—
562#387C2313yes—
563#387C2313yes—
564#387C2316yes—
565#387C2316yes—
566#387C2311yescharacteristic
567#386C2316yes—
568#386C2316yes—
569#386C2316yes—
570#386C2316yes—
571#386C2316yes—
572#386C2316yes—
573#386C2316yes—
574#386C2316yes—
575#386C2313yes—
576#386C2316yes—
577#386C2316yes—
578#386C2316yes—
579#386C2316yes—
580#386C2316yes—
581#386C2316yes—
582#386C2316yes—
583#386C2313yes—
584#386C2316yes—
585#386C2316yes—
586#386C2313yes—
587#386C2313yes—
588#386C2316yes—
589#386C2316yes—
590#386C2313yes—
591#386C2313yes—
592#386C2311yescharacteristic
593#386C2313yes—
594#385C2313yes—
595#385C2316yes—
596#385C2316yes—
597#385C2316yes—
598#385C2316yes—
599#385C2316yes—
600#385C2313yes—
601#385C2313yes—
602#385C2316yes—
603#385C2316yes—
604#385C2313yes—
605#385C2313yes—
606#385C2313yes—
607#385C2313yes—
608#385C2311yescharacteristic
609#384C2313yes—
610#384C2313yes—
611#382C2313yes—
612#382C2313yes—
613#381C2313yes—
614#381C2313yes—
615#381C2316yes—
616#381C2313yes—
617#381C2313yes—
618#380C2316yes—
619#380C2316yes—
620#380C2316yes—
621#380C2313yes—
622#380C2313yes—
623#380C2316yes—
624#380C2316yes—
625#380C2313yes—
626#380C2313yes—
627#380C2313yes—
628#380C2313yes—
629#380C2313yes—
630#380C2313yes—
631#380C2313yes—
632#380C2313yes—
633#380C2313yes—
634#380C2313yes—
635#380C2313yes—
636#380C2313yes—
637#380C2313yes—
638#380C2311yescharacteristic
639#379C2316yes—
640#379C2313yes—
641#379C2313yes—
642#379C2313yes—
643#379C2313yes—
644C4×C4⋊C4C2313yes—
645C4×C4⋊C4C2313yes—
646C4×C4⋊C4C2313yes—
647C4×C4⋊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⋊C4C2313yes—
657C4×C22⋊C4C2313yes—
658C4×C22⋊C4C2313yes—
659C4×C22⋊C4C2313yes—
660C2×#95C2316yes—
661C25C2413yes—
662C25C2413yes—
6632−1+4—464no—
664C2×#41—24no—
665C2×#41—212no—
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—212no—
676C2×#41—212no—
677C2×#41—212no—
678C2×#41—212no—
679C2×#41—46no—
680C2×#41—46no—
681C2×#41—46no—
682C2×#41—46no—
683C2×#41—46no—
684C2×#41—46no—
685C2×#41—46no—
686C2×#41—46no—
687C2×#41—46no—
688C2×#41—46no—
689C2×#41—46no—
690C2×#41—46no—
691C2×#41—46no—
692C2×#41—46no—
693C2×#41—464no—
694C2×#41—464no—
695C2×#41C2×D418yes—
696C2×#41C2×D418yes—
697C2×#41C2×D4124yes—
698C2×#41C2×D4124yes—
699C22×Q8—24no—
700C22×Q8—24no—
701C22×Q8—212no—
702C22×Q8—24no—
703C22×Q8—24no—
704C22×Q8—24no—
705C22×Q8—24no—
706C22×Q8—24no—
707C22×Q8—24no—
708C22×Q8—46no—
709C22×Q8—46no—
710C22×Q8C2×D418yes—
711C22×Q8C2413yes—
712C22×Q8C2413yes—
713C22×Q8C2413yes—
714C22×Q8C2413yes—
715C22×Q8C2411yescharacteristic
716C22×D4—212no—
717C22×D4—212no—
718C22×D4—46no—
719C22×D4—46no—
720C22×D4—46no—
721C22×D4—46no—
722C22×D4—46no—
723C22×D4—46no—
724C22×D4C2×D4124yes—
725C22×D4C2411yescharacteristic
726C22×D4C2413yes—
727C22×D4C2413yes—
728C22×D4C2413yes—
729C22×D4C2413yes—
730C22×D4C2413yes—
731C22×D4C2413yes—
732C22×D4C2411yescharacteristic
733C22×D4C2413yes—
734C22×D4C2413yes—
735C22×D4C2416yes—
736C22×D4C2413yes—
737C22×D4C2413yes—
738C22×D4C2416yes—
739C22×D4C2416yes—
740C22×D4C2413yes—
741C22×D4C2413yes—
742C22×D4C2411yescharacteristic
743C22×D4C2413yes—
744C22×D4C2416yes—
745C22×D4C2413yes—
746C22×D4C2413yes—
747C22×D4C2413yes—
748C22×D4C2416yes—
749C22×D4C2416yes—
750C23×C4—212no—
751C23×C4—46no—
752C23×C4—46no—
753C23×C4—46no—
754C23×C4—46no—
755C23×C4C2×D4124yes—
756C23×C4C2413yes—
757C23×C4C2413yes—
758C23×C4C2413yes—
759C23×C4C2413yes—
760C23×C4C2413yes—
761C23×C4C2413yes—
762C23×C4C2413yes—
763C23×C4C2413yes—
764C23×C4C2413yes—
765C23×C4C2413yes—
766C23×C4C2411yescharacteristic
767C23×C4C2413yes—
768C23×C4C2416yes—
769C23×C4C2416yes—
770C23×C4C2416yes—
771C23×C4C2413yes—
772C23×C4C2413yes—
773C23×C4C2411yescharacteristic
774C4⋊Q8—212no—
775C4⋊Q8—46no—
776#127—212no—
777#127—212no—
778#127—212no—
779#127—224no—
780#127—46no—
781#124—212no—
782#124—212no—
783#124—212no—
784#124—212no—
785#124—224no—
786#124—46no—
787#124—46no—
788#123—224no—
789#123—24no—
790#123—212no—
791#123—224no—
792#123—46no—
793#123—46no—
794#123—86no—
795C22⋊Q8—212no—
796C22⋊Q8—212no—
797C22⋊Q8—212no—
798C22⋊Q8—212no—
799C22⋊Q8—212no—
800C22⋊Q8—212no—
801C22⋊Q8—212no—
802C22⋊Q8—212no—
803C22⋊Q8—46no—
804C22⋊Q8—46no—
805C22⋊Q8—46no—
806C22⋊Q8—46no—
807#121—212no—
808#121—212no—
809#121—224no—
810#121—224no—
811#121—212no—
812#121—212no—
813#121—212no—
814#121—212no—
815#121—224no—
816#121—224no—
817#121—212no—
818#121—212no—
819#121—212no—
820#121—212no—
821#121—212no—
822#121—212no—
823#121—412no—
824#121—412no—
825#121—46no—
826#121—46no—
827#121—46no—
828#121—46no—
829#121—86no—
830#121—86no—
831#120—212no—
832#120—212no—
833#120—224no—
834#120—224no—
835#120—224no—
836#120—46no—
837#120—46no—
838#120—86no—
839C4×Q8—24no—
840C4×Q8—24no—
841C4×Q8—212no—
842C4×Q8—212no—
843C4×Q8—24no—
844C4×Q8—24no—
845C4×Q8—24no—
846C4×Q8—24no—
847C4×Q8—24no—
848C4×Q8—24no—
849C4×D4—212no—
850C4×D4—212no—
851C4×D4—24no—
852C4×D4—212no—
853C4×D4—212no—
854C4×D4—212no—
855C4×D4—212no—
856C4×D4—212no—
857C4×D4—212no—
858C4×D4—212no—
859C4×D4—224no—
860C4×D4—212no—
861C4×D4—212no—
862C4×D4—212no—
863C4×D4—212no—
864C4×D4—224no—
865C4×D4—224no—
866C4×D4—46no—
867C4×D4—46no—
868C4×D4—46no—
869C4×D4—46no—
870C4×D4—46no—
871C4×D4—46no—
872C4×D4—46no—
873C4×D4—46no—
874#117—212no—
875#117—212no—
876#117—212no—
877#117—46no—
878#117—46no—
879C2×C4⋊C4—212no—
880C2×C4⋊C4—46no—
881C2×C4⋊C4—46no—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2416yes—
901C2×C4⋊C4C2413yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2413yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2413yes—
909C2×C4⋊C4C2413yes—
910C2×C4⋊C4C2413yes—
911C2×C4⋊C4C2413yes—
912C2×C4⋊C4C2416yes—
913C2×C4⋊C4C2416yes—
914C2×C4⋊C4C2416yes—
915C2×C4⋊C4C2413yes—
916C2×C4⋊C4C2413yes—
917C2×C4⋊C4C2413yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2413yes—
920C2×C22⋊C4—212no—
921C2×C22⋊C4—212no—
922C2×C22⋊C4—86no—
923C2×C22⋊C4C2411yescharacteristic
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2411yescharacteristic
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2416yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2416yes—
939C2×C22⋊C4C2416yes—
940C2×C22⋊C4C2416yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2416yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2416yes—
953C2×C22⋊C4C2416yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2413yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2416yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2413yes—
974C2×C22⋊C4C2416yes—
975C2×C22⋊C4C2416yes—
976C2×C22⋊C4C2416yes—
977C2×C22⋊C4C2416yes—
978C2×C22⋊C4C2416yes—
979C2×C22⋊C4C2413yes—
980C2×C22⋊C4C2413yes—
981C2×C22⋊C4C2413yes—
982C2×C22⋊C4C2413yes—
983C2×C22⋊C4C2413yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2413yes—
989C2×C22⋊C4C2413yes—
990C2×C42—212no—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2416yes—
995C2×C42C2413yes—
996C2×C42C2413yes—
997C2×C42C2413yes—
998C2×C42C2413yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2413yes—
1001C2×C42C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2416yes—
1005#95C2416yes—
1006#95C2411yescharacteristic
1007#95C2411yescharacteristic
1008#95C2411yescharacteristic
1009#95C2411yescharacteristic
1010#95C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2413yes—
1017#95C2413yes—
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2413yes—
1023#95C2413yes—
1024#95C2413yes—
1025#95C2413yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2411yescharacteristic
1029#95C2411yescharacteristic
1030#95C2413yes—
1031#95C2413yes—
1032#95C2413yes—
1033#95C2413yes—
1034#95C2413yes—
1035#95C2413yes—
1036#95C2416yes—
1037#95C2416yes—
1038#95C2416yes—
1039#95C2416yes—
1040#95C2416yes—
1041#95C2416yes—
1042C24—26no—
1043C24—26no—
1044C24—43no—
1045C24—43no—
1046C24—43no—
1047C24—43no—
1048C24—43no—
1049C24—43no—
1050C24—43no—
1051C24—43no—
1052C24—43no—
1053C24—43no—
1054C24—43no—
1055C24C22×D4112yes—
1056C24C2513yes—
1057C24C2511yescharacteristic
1058C24C2513yes—
1059C24C2511yescharacteristic
1060C24C2513yes—
1061C24C2513yes—
1062C24C2511yescharacteristic
1063#41—232no—
1064#41—232no—
1065#41—448no—
1066#41—448no—
1067#41—448no—
1068#41—448no—
1069#41—448no—
1070#41—448no—
1071#41—448no—
1072#41—416no—
1073#41—416no—
1074C2×Q8—232no—
1075C2×Q8—26no—
1076C2×Q8—26no—
1077C2×Q8—26no—
1078C2×Q8—26no—
1079C2×Q8—26no—
1080C2×Q8—26no—
1081C2×Q8—26no—
1082C2×Q8—26no—
1083C2×Q8—26no—
1084C2×Q8—43no—
1085C2×Q8—43no—
1086C2×Q8—448no—
1087C2×Q8—416no—
1088C2×Q8—416no—
1089C2×Q8C22×D4112yes—
1090C2×Q8C22×D414yes—
1091C2×Q8H(5,𝔽2)14yes—
1092C2×Q8H(5,𝔽2)14yes—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—26no—
1096C2×D4—26no—
1097C2×D4—26no—
1098C2×D4—22no—
1099C2×D4—26no—
1100C2×D4—212no—
1101C2×D4—22no—
1102C2×D4—26no—
1103C2×D4—212no—
1104C2×D4—212no—
1105C2×D4—26no—
1106C2×D4—26no—
1107C2×D4—26no—
1108C2×D4—26no—
1109C2×D4—212no—
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—22no—
1123C2×D4—26no—
1124C2×D4—448no—
1125C2×D4—41no—
1126C2×D4—43no—
1127C2×D4—43no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—46no—
1131C2×D4—46no—
1132C2×D4—46no—
1133C2×D4—46no—
1134C2×D4—41no—
1135C2×D4—43no—
1136C2×D4—43no—
1137C2×D4—41no—
1138C2×D4—43no—
1139C2×D4—41no—
1140C2×D4—43no—
1141C2×D4—43no—
1142C2×D4—43no—
1143C2×D4—43no—
1144C2×D4—43no—
1145C2×D4—43no—
1146C2×D4—43no—
1147C2×D4—43no—
1148C2×D4—43no—
1149C2×D4—46no—
1150C2×D4—46no—
1151C2×D4—46no—
1152C2×D4—43no—
1153C2×D4—46no—
1154C2×D4—43no—
1155C2×D4—43no—
1156C2×D4—43no—
1157C2×D4—43no—
1158C2×D4—43no—
1159C2×D4—46no—
1160C2×D4—46no—
1161C2×D4—43no—
1162C2×D4—43no—
1163C2×D4—46no—
1164C2×D4—46no—
1165C2×D4—46no—
1166C2×D4—448no—
1167C2×D4—448no—
1168C2×D4C22×D4112yes—
1169C2×D4C22×D4112yes—
1170C2×D4C22×D4124yes—
1171C22×C4—26no—
1172C22×C4—26no—
1173C22×C4—26no—
1174C22×C4—26no—
1175C22×C4—26no—
1176C22×C4—26no—
1177C22×C4—26no—
1178C22×C4—26no—
1179C22×C4—26no—
1180C22×C4—22no—
1181C22×C4—26no—
1182C22×C4—212no—
1183C22×C4—26no—
1184C22×C4—26no—
1185C22×C4—26no—
1186C22×C4—26no—
1187C22×C4—26no—
1188C22×C4—26no—
1189C22×C4—26no—
1190C22×C4—26no—
1191C22×C4—26no—
1192C22×C4—26no—
1193C22×C4—26no—
1194C22×C4—26no—
1195C22×C4—26no—
1196C22×C4—448no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—43no—
1202C22×C4—43no—
1203C22×C4—43no—
1204C22×C4—43no—
1205C22×C4—43no—
1206C22×C4—43no—
1207C22×C4—43no—
1208C22×C4—43no—
1209C22×C4—43no—
1210C22×C4—46no—
1211C22×C4—46no—
1212C22×C4—43no—
1213C22×C4—43no—
1214C22×C4—46no—
1215C22×C4—46no—
1216C22×C4—46no—
1217C22×C4—46no—
1218C22×C4—46no—
1219C22×C4—46no—
1220C22×C4—448no—
1221C22×C4C22×D4112yes—
1222C22×C4C22×D4112yes—
1223C22×C4C22×D4112yes—
1224C22×C4C22×D4112yes—
1225C22×C4C22×D4112yes—
1226C22×C4C22×D414yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2513yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2513yes—
1231C22×C4C2513yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2513yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2513yes—
1239C22×C4C2513yes—
1240C22×C4C2513yes—
1241C22×C4C2513yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2513yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2513yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2513yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2513yes—
1251C4⋊C4—22no—
1252C4⋊C4—26no—
1253C4⋊C4—26no—
1254C4⋊C4—26no—
1255C4⋊C4—26no—
1256C4⋊C4—26no—
1257C4⋊C4—26no—
1258C4⋊C4—26no—
1259C4⋊C4—26no—
1260C4⋊C4—26no—
1261C4⋊C4—26no—
1262C4⋊C4—22no—
1263C4⋊C4—26no—
1264C4⋊C4—22no—
1265C4⋊C4—212no—
1266C4⋊C4—26no—
1267C4⋊C4—26no—
1268C4⋊C4—26no—
1269C4⋊C4—26no—
1270C4⋊C4—26no—
1271C4⋊C4—22no—
1272C4⋊C4—43no—
1273C4⋊C4—43no—
1274C4⋊C4—41no—
1275C4⋊C4—43no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—43no—
1280C4⋊C4—43no—
1281C4⋊C4—43no—
1282C4⋊C4—46no—
1283C4⋊C4—43no—
1284C4⋊C4—46no—
1285C4⋊C4—46no—
1286C4⋊C4—43no—
1287C4⋊C4—43no—
1288C4⋊C4—43no—
1289C22⋊C4—22no—
1290C22⋊C4—26no—
1291C22⋊C4—26no—
1292C22⋊C4—26no—
1293C22⋊C4—22no—
1294C22⋊C4—26no—
1295C22⋊C4—212no—
1296C22⋊C4—212no—
1297C22⋊C4—26no—
1298C22⋊C4—26no—
1299C22⋊C4—212no—
1300C22⋊C4—212no—
1301C22⋊C4—26no—
1302C22⋊C4—26no—
1303C22⋊C4—22no—
1304C22⋊C4—26no—
1305C22⋊C4—22no—
1306C22⋊C4—26no—
1307C22⋊C4—26no—
1308C22⋊C4—26no—
1309C22⋊C4—26no—
1310C22⋊C4—22no—
1311C22⋊C4—26no—
1312C22⋊C4—22no—
1313C22⋊C4—212no—
1314C22⋊C4—26no—
1315C22⋊C4—22no—
1316C22⋊C4—43no—
1317C22⋊C4—43no—
1318C22⋊C4—46no—
1319C22⋊C4—46no—
1320C22⋊C4—41no—
1321C22⋊C4—43no—
1322C22⋊C4—43no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—43no—
1327C22⋊C4—43no—
1328C22⋊C4—43no—
1329C22⋊C4—43no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—43no—
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—43no—
1342C22⋊C4—43no—
1343C22⋊C4—46no—
1344C22⋊C4—46no—
1345C22⋊C4—46no—
1346C22⋊C4—46no—
1347C22⋊C4—46no—
1348C22⋊C4—43no—
1349C22⋊C4—43no—
1350C22⋊C4—46no—
1351C22⋊C4—43no—
1352C22⋊C4—43no—
1353C22⋊C4—43no—
1354C22⋊C4—43no—
1355C22⋊C4—43no—
1356C42—22no—
1357C42—26no—
1358C42—26no—
1359C42—26no—
1360C42—212no—
1361C42—26no—
1362C42—26no—
1363C42—26no—
1364C42—26no—
1365C42—26no—
1366C42—26no—
1367C23—21no—
1368C23—21no—
1369C23—23no—
1370C23—23no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—23no—
1375C23—23no—
1376C23—23no—
1377C23—23no—
1378C23—23no—
1379C23—23no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—23no—
1385C23—21no—
1386C23—23no—
1387C23—21no—
1388C23—21no—
1389C23—23no—
1390C23—23no—
1391C23—23no—
1392C23—21no—
1393C23—23no—
1394C23—21no—
1395C23—23no—
1396C23—23no—
1397C23—21no—
1398C23—23no—
1399C23—23no—
1400C23—21no—
1401C23—23no—
1402C23—23no—
1403C23—23no—
1404C23—23no—
1405C23—21no—
1406C23—21no—
1407C23—23no—
1408C23—23no—
1409C23—21no—
1410C23—23no—
1411C23—23no—
1412C23—412no—
1413C23—412no—
1414C23—412no—
1415C23—412no—
1416C23—412no—
1417C23—86no—
1418C23—86no—
1419C23—86no—
1420C23—86no—
1421C23—86no—
1422C23—86no—
1423C23—86no—
1424C23—86no—
1425C23—86no—
1426C23C23×D412yes—
1427C23C23×D416yes—
1428C23C23×D416yes—
1429C23#58512yes—
1430C23C2611yescharacteristic
1431Q8—224no—
1432Q8—412no—
1433Q8—412no—
1434Q8—412no—
1435Q8#534116yes—
1436D4—28no—
1437D4—224no—
1438D4—224no—
1439D4—424no—
1440D4—412no—
1441D4—412no—
1442D4—412no—
1443D4—44no—
1444D4—412no—
1445D4—424no—
1446D4—44no—
1447D4—412no—
1448D4—412no—
1449D4—412no—
1450D4—86no—
1451D4—86no—
1452D4—812no—
1453D4—812no—
1454D4—812no—
1455D4—86no—
1456D4—86no—
1457D4—86no—
1458D4—86no—
1459D4—86no—
1460D4—166no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—23no—
1467C2×C4—23no—
1468C2×C4—21no—
1469C2×C4—224no—
1470C2×C4—224no—
1471C2×C4—224no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—23no—
1475C2×C4—23no—
1476C2×C4—21no—
1477C2×C4—23no—
1478C2×C4—23no—
1479C2×C4—21no—
1480C2×C4—23no—
1481C2×C4—21no—
1482C2×C4—23no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—23no—
1488C2×C4—23no—
1489C2×C4—23no—
1490C2×C4—23no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—23no—
1494C2×C4—23no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—23no—
1498C2×C4—23no—
1499C2×C4—21no—
1500C2×C4—23no—
1501C2×C4—23no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—23no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—23no—
1508C2×C4—23no—
1509C2×C4—23no—
1510C2×C4—23no—
1511C2×C4—23no—
1512C2×C4—21no—
1513C2×C4—23no—
1514C2×C4—23no—
1515C2×C4—23no—
1516C2×C4—23no—
1517C2×C4—21no—
1518C2×C4—23no—
1519C2×C4—23no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—23no—
1527C2×C4—23no—
1528C2×C4—21no—
1529C2×C4—44no—
1530C2×C4—412no—
1531C2×C4—412no—
1532C2×C4—412no—
1533C2×C4—44no—
1534C2×C4—412no—
1535C2×C4—424no—
1536C2×C4—412no—
1537C2×C4—412no—
1538C2×C4—412no—
1539C2×C4—412no—
1540C2×C4—412no—
1541C2×C4—86no—
1542C2×C4—166no—
1543C2×C4—166no—
1544C2×C4C23×D412yes—
1545C2×C4C23×D416yes—
1546C2×C4C23×D412yes—
1547C2×C4C23×D416yes—
1548C2×C4C2×H(5,𝔽2)16yes—
1549C2×C4C2×H(5,𝔽2)16yes—
1550C2×C4#58512yes—
1551C22—26no—
1552C22—22no—
1553C22—22no—
1554C22—26no—
1555C22—26no—
1556C22—26no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—26no—
1562C22—26no—
1563C22—41no—
1564C22—43no—
1565C22—43no—
1566C22—41no—
1567C22—43no—
1568C22—43no—
1569C22—41no—
1570C22—43no—
1571C22—43no—
1572C22—41no—
1573C22—41no—
1574C22—43no—
1575C22—43no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—43no—
1580C22—41no—
1581C22—43no—
1582C22—41no—
1583C22—43no—
1584C22—43no—
1585C22—41no—
1586C22—43no—
1587C22—43no—
1588C22—41no—
1589C22—43no—
1590C22—43no—
1591C22—43no—
1592C22—41no—
1593C22—43no—
1594C22—43no—
1595C22—43no—
1596C22—41no—
1597C22—43no—
1598C22—41no—
1599C22—43no—
1600C22—824no—
1601C22—824no—
1602C22C24×D411yescharacteristic
1603C22C22×H(5,𝔽2)11yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22H(7,𝔽2)11yescharacteristic
1608C222−1+611yescharacteristic
1609C4—22no—
1610C4—22no—
1611C4—22no—
1612C4—26no—
1613C4—43no—
1614C4—41no—
1615C4—43no—
1616C4—41no—
1617C4—43no—
1618C4—43no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—43no—
1623C4—43no—
1624C4—41no—
1625C4—41no—
1626C4—43no—
1627C4—43no—
1628C4—41no—
1629C4—43no—
1630C4—41no—
1631C4—43no—
1632C4C2×#534112yes—
1633C2—46no—
1634C2—46no—
1635C2—42no—
1636C2—42no—
1637C2—81no—
1638C2—83no—
1639C2—83no—
1640C2C22×#53411yescharacteristic
1641C2#6281111yescharacteristic
1642C2#6285311yescharacteristic
1643C2#6289711yescharacteristic
1644C2#6289911yescharacteristic
1645C2#6292211yescharacteristic
1646C2#6292311yescharacteristic
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×#3487C2semidirect
2. C2×D4×#41C2semidirect
3. #42951C2semidirect
4. #42950C2semidirect
5. #42927C2semidirect
6. #42926C2semidirect
7. #42435C2semidirect
8. #42432C2semidirect
9. #42422C2semidirect
10. #42420C2semidirect
11. #39865C2semidirect
12. #39864C2semidirect
13. #39861C2semidirect
14. #39860C2semidirect
15. #37455C2semidirect
16. #37444C2semidirect
17. #36433C2semidirect
18. #36432C2semidirect
19. #36429C2semidirect
20. #36428C2semidirect
21. #36029C2semidirect
22. #35831C2semidirect
23. #35831C2semidirect
24. #35801C2semidirect
25. #35757C2semidirect
26. #35737C2semidirect
27. #35723C2semidirect
28. #35687C2semidirect
29. #35077C2semidirect
30. #34562C2semidirect
31. #34175C2semidirect
32. C22×2−1+4C22semidirect
39. C2×#550C22semidirect
40. C2×#550C22semidirect
41. C2×#550C22semidirect
42. C2×#550C22semidirect
44. C2×D4×Q8C22semidirect
48. C2×#548C22semidirect
49. C2×#548C22semidirect
50. C2×#548C22semidirect
51. C2×#548C22semidirect
52. C2×#548C22semidirect
57. C2×#535C22semidirect
58. C2×#535C22semidirect
62. C2×#525C22semidirect
63. C2×#525C22semidirect
64. C2×#520C22semidirect
65. C2×#520C22semidirect
66. C2×#519C22semidirect
69. #2855C22semidirect
70. #2854C22semidirect
71. #2848C22semidirect
72. #2847C22semidirect
73. #2814C22semidirect
74. #2813C22semidirect
75. #2812C22semidirect
76. #2812C22semidirect
77. #2717C22semidirect
78. #2709C22semidirect
79. #2708C22semidirect
80. #2708C22semidirect
81. #2688C22semidirect
82. #2688C22semidirect
83. #2686C22semidirect
84. #2686C22semidirect
85. #2684C22semidirect
86. #2673C22semidirect
87. #2673C22semidirect
88. #2671C22semidirect
89. #2671C22semidirect
90. #2669C22semidirect
91. #2668C22semidirect
92. #2668C22semidirect
93. #2638C22semidirect
94. #2638C22semidirect
95. #2635C22semidirect
96. #2635C22semidirect
99. #2630C22semidirect
100. #2630C22semidirect
101. #2630C22semidirect
102. #2630C22semidirect
103. #2630C22semidirect
104. #2627C22semidirect
105. #2626C22semidirect
106. #2625C22semidirect
107. #2624C22semidirect
108. #2622C22semidirect
109. #2622C22semidirect
110. #2621C22semidirect
111. #2620C22semidirect
112. #2620C22semidirect
113. #2619C22semidirect
114. #2618C22semidirect
115. #2617C22semidirect
116. #2617C22semidirect
117. #2617C22semidirect
118. #2616C22semidirect
119. #2615C22semidirect
122. #2600C22semidirect
123. #2600C22semidirect
124. #2579C22semidirect
125. #2564C22semidirect
126. #2547C22semidirect
127. #2544C22semidirect
128. #2544C22semidirect
129. #2543C22semidirect
130. #2541C22semidirect
131. #2537C22semidirect
132. #2537C22semidirect
133. #2535C22semidirect
134. #2535C22semidirect
135. #2534C22semidirect
136. #2500C22semidirect
137. #2500C22semidirect
138. #2499C22semidirect
139. #2499C22semidirect
141. #2485C22semidirect
142. #2485C22semidirect
143. #2485C22semidirect
144. #2448C22semidirect
145. #2448C22semidirect
146. #2447C22semidirect
147. #2447C22semidirect
148. #2446C22semidirect
149. #2446C22semidirect
150. #2445C22semidirect
151. #2445C22semidirect
152. #2436C22semidirect
153. #2435C22semidirect
154. #2434C22semidirect
155. #2433C22semidirect
156. #2432C22semidirect
157. #2432C22semidirect
158. #2432C22semidirect
159. #2432C22semidirect
160. #2431C22semidirect
161. #2431C22semidirect
162. #2431C22semidirect
163. #2431C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2428C22semidirect
167. #2428C22semidirect
168. #2427C22semidirect
169. #2427C22semidirect
170. #2427C22semidirect
171. #2427C22semidirect
172. #2423C22semidirect
173. #2423C22semidirect
174. #2422C22semidirect
175. #2422C22semidirect
176. #2421C22semidirect
177. #2421C22semidirect
178. #2420C22semidirect
179. #2420C22semidirect
180. #2417C22semidirect
181. #2417C22semidirect
182. #2417C22semidirect
183. #2417C22semidirect
184. #2416C22semidirect
185. #2416C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
188. #2412C22semidirect
190. #2409C22semidirect
191. #2409C22semidirect
192. #2408C22semidirect
193. #2408C22semidirect
195. #2407C22semidirect
196. #2407C22semidirect
197. #2407C22semidirect
198. #2407C22semidirect
199. #2407C22semidirect
200. #2407C22semidirect
201. #2407C22semidirect
203. #2395C22semidirect
204. #2392C22semidirect
205. #2392C22semidirect
206. #2392C22semidirect
207. #2392C22semidirect
209. #2388C22semidirect
210. #2351C22semidirect
211. #2351C22semidirect
212. Q8×C4⋊C4C22semidirect
213. Q8×C4⋊C4C22semidirect
216. #2341C22semidirect
217. #2341C22semidirect
218. #2341C22semidirect
219. #2341C22semidirect
220. Q8×C22⋊C4C22semidirect
221. Q8×C22⋊C4C22semidirect
222. Q8×C22⋊C4C22semidirect
223. Q8×C22⋊C4C22semidirect
224. Q8×C22⋊C4C22semidirect
225. Q8×C22⋊C4C22semidirect
226. #2339C22semidirect
227. #2339C22semidirect
228. D4×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. #2325C22semidirect
231. #2325C22semidirect
232. #2311C22semidirect
233. #2311C22semidirect
234. C4×#123C22semidirect
235. C4×#123C22semidirect
236. C4×#120C22semidirect
237. C4×#120C22semidirect
238. #2280C22semidirect
239. C2×#380C22semidirect
248. C22×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34872
C2×D4×#412
#429512
#429502
#429272
#429262
#424352
#424322
#424222
#424202
#398652
#398642
#398612
#398602
#374552
#374442
#364332
#364322
#364292
#364282
#360292
#358312
#358012
#357572
#357372
#357232
#356872
#350772
#345622
#341752