Finite Group Databasebeta

← #7698690

Subgroups — #7698690

Order 512.

8280 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3500C211yesmaximal, characteristic, complemented
2C2×#3522C211yesmaximal, characteristic, complemented
3#59650C213yesmaximal, complemented
4#59147C213yesmaximal, complemented
5#59099C213yesmaximal, complemented
6#52139C213yesmaximal, complemented
7#45353C213yesmaximal, complemented
8#45114C213yesmaximal, complemented
9#45057C213yesmaximal, complemented
10#45049C213yesmaximal, complemented
11#45018C213yesmaximal, complemented
12#44871C213yesmaximal, complemented
13#39471C213yesmaximal, complemented
14#39439C213yesmaximal, complemented
15#38082C213yesmaximal, complemented
16#38034C213yesmaximal, complemented
17#37782C213yesmaximal, complemented
18#37696C213yesmaximal, complemented
19#36578C211yesmaximal, characteristic, complemented
20#36456C211yesmaximal, characteristic, complemented
21#36430C211yesmaximal, characteristic, complemented
22#36091C211yesmaximal, characteristic, complemented
23#36018C211yesmaximal, characteristic, complemented
24#35983C211yesmaximal, characteristic, complemented
25#35948C211yesmaximal, characteristic, complemented
26#35831C211yesmaximal, characteristic, complemented
27#35757C211yesmaximal, characteristic, complemented
28#34295C211yesmaximal, characteristic, complemented
29#34293C211yesmaximal, characteristic, complemented
30#34258C211yesmaximal, characteristic, complemented
31#34257C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C22×H(5,𝔽2)C2211yescharacteristic
34#3522—216no—
35#3500—216no—
36C2×#559C2213yescomplemented
37C2×Q82C2211yescharacteristic, complemented
38C2×#554C2213yescomplemented
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic, complemented
47C2×#548C2211yescharacteristic, complemented
48C2×#547C2213yescomplemented
49C2×#547C2213yescomplemented
50C2×#546C2213yes—
51C2×#546C2213yes—
52C2×#546C2213yes—
53C2×#546C2213yes—
54C2×#542C2213yescomplemented
55C2×#542C2213yescomplemented
56C2×#536C2213yes—
57C2×#535C2213yes—
58C2×#532C2213yes—
59C2×#532C2213yescomplemented
60C2×#529C2213yescomplemented
61C22×#124C2213yes—
62C2×#520C2211yescharacteristic
63C2×#520C2211yescharacteristic, complemented
64C2×#519C2211yescharacteristic, complemented
65C2×C4×#41C2211yescharacteristic
66C2×C4×#41C2211yescharacteristic
67C22×C4×Q8C2211yescharacteristic, complemented
68#2857C2213yescomplemented
69#2854C2213yescomplemented
70#2850C2213yescomplemented
71#2716C2213yescomplemented
72#2715C2213yescomplemented
73#2714C2213yescomplemented
74#2713C2213yescomplemented
75#2712C2213yescomplemented
76#2712C2216yescomplemented
77#2711C2213yescomplemented
78#2710C2216yescomplemented
79#2710C2213yescomplemented
80#2709C2213yescomplemented
81#2708C2213yescomplemented
82#2703C2216yescomplemented
83#2703C2216yescomplemented
84#2703C2213yescomplemented
85#2700C2216yescomplemented
86#2700C2211yescharacteristic, complemented
87#2697C2216yescomplemented
88#2696C2216yescomplemented
89#2696C2216yescomplemented
90#2693C2216yescomplemented
91#2691C2213yescomplemented
92#2688C2213yescomplemented
93#2687C2216yescomplemented
94#2681C2213yescomplemented
95#2678C2216yescomplemented
96#2678C2216yescomplemented
97#2676C2213yescomplemented
98#2673C2213yescomplemented
99#2670C2216yescomplemented
100#2640C2213yescomplemented
101#2625C2213yescomplemented
102#2620C2213yescomplemented
103#2619C2213yescomplemented
104#2615C2213yes—
105#2615C2213yescomplemented
106#2592C2213yescomplemented
107#2563C2213yescomplemented
108#2558C2216yescomplemented
109#2557C2216yescomplemented
110#2557C2216yescomplemented
111#2554C2216yescomplemented
112#2548C2213yescomplemented
113#2547C2213yescomplemented
114#2544C2213yescomplemented
115#2544C2213yescomplemented
116#2540C2216yescomplemented
117#2538C2213yescomplemented
118#2537C2213yescomplemented
119#2536C2213yescomplemented
120#2535C2213yescomplemented
121#2504C2213yescomplemented
122#2503C2213yescomplemented
123#2492C2213yescomplemented
124#2492C2216yescomplemented
125#2492C2213yescomplemented
126#2491C2213yescomplemented
127#2491C2213yescomplemented
128#2487C2213yescomplemented
129#2487C2213yescomplemented
130#2480C2216yescomplemented
131#2472C2216yescomplemented
132#2472C2216yescomplemented
133#2472C2216yescomplemented
134#2459C2216yescomplemented
135#2457C2216yescomplemented
136#2452C2213yescomplemented
137#2452C2213yescomplemented
138#2448C2213yescomplemented
139#2448C2213yescomplemented
140#2447C2213yescomplemented
141#2447C2213yescomplemented
142#2439C2213yescomplemented
143#2439C2213yescomplemented
144#2437C2216yescomplemented
145#2436C2213yescomplemented
146#2433C2213yes—
147#2433C2213yes—
148#2433C2213yes—
149#2431C2213yescomplemented
150#2431C2216yescomplemented
151#2431C2213yescomplemented
152#2428C2213yescomplemented
153#2428C2213yescomplemented
154#2427C2213yescomplemented
155#2427C2213yescomplemented
156#2426C2213yescomplemented
157#2426C2213yescomplemented
158#2424C2216yescomplemented
159#2421C2213yescomplemented
160#2421C2213yescomplemented
161#2420C2213yescomplemented
162#2420C2213yescomplemented
163#2418C2216yescomplemented
164#2417C2213yescomplemented
165#2416C2213yescomplemented
166#2415C2213yescomplemented
167#2414C2213yescomplemented
168#2414C2213yescomplemented
169#2414C2213yescomplemented
170#2412C2216yescomplemented
171#2412C2216yescomplemented
172#2409C2213yescomplemented
173#2408C2213yes—
174#2408C2213yes—
175#2408C2213yes—
176#2407C2213yescomplemented
177#2407C2216yescomplemented
178#2407C2213yescomplemented
179#2404C2216yescomplemented
180#2404C2216yescomplemented
181#2398C2213yescomplemented
182#2395C2213yescomplemented
183#2392C2213yescomplemented
184#2392C2213yescomplemented
185#2388C2213yes—
186#2388C2213yescomplemented
187#2367C2213yescomplemented
188#2366C2213yescomplemented
189#2363C2213yescomplemented
190#2363C2213yescomplemented
191#2362C2213yescomplemented
192#2361C2213yescomplemented
193#2358C2216yescomplemented
194#2354C2213yescomplemented
195#2352C2213yescomplemented
196#2351C2211yescharacteristic, complemented
197#2351C2211yescharacteristic, complemented
198#2351C2211yescharacteristic, complemented
199Q8×C4⋊C4C2211yescharacteristic, complemented
200#2341C2211yescharacteristic
201#2341C2211yescharacteristic
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2211yescharacteristic
206#2341C2211yescharacteristic
207#2341C2213yescomplemented
208#2341C2211yescharacteristic, complemented
209#2341C2213yescomplemented
210Q8×C22⋊C4C2213yescomplemented
211Q8×C22⋊C4C2213yescomplemented
212Q8×C22⋊C4C2211yescharacteristic, complemented
213Q8×C22⋊C4C2211yescharacteristic, complemented
214Q8×C22⋊C4C2211yescharacteristic, complemented
215Q8×C22⋊C4C2211yescharacteristic, complemented
216D4×C22⋊C4C2213yes—
217D4×C22⋊C4C2213yes—
218D4×C22⋊C4C2213yes—
219D4×C22⋊C4C2213yes—
220#2328C2213yescomplemented
221#2326C2213yescomplemented
222#2324C2213yescomplemented
223#2324C2213yescomplemented
224#2311C2213yes—
225#2311C2213yescomplemented
226#2311C2213yescomplemented
227#2309C2213yes—
228C4×C22⋊Q8C2213yescomplemented
229C4×C22⋊Q8C2213yescomplemented
230C4×#123C2213yescomplemented
231C4×#121C2213yescomplemented
232C4×#121C2213yescomplemented
233#2297C2213yes—
234#2297C2213yescomplemented
235#2297C2213yescomplemented
236C2×#390C2213yes—
237#2290C2213yescomplemented
238#2290C2213yescomplemented
239#2276C2211yescharacteristic, complemented
240C2×2−1+4—28no—
241C2×2−1+4—28no—
242C2×2−1+4—44no—
243C2×H(5,𝔽2)—28no—
244C2×H(5,𝔽2)—28no—
245C2×H(5,𝔽2)—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2313yes—
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2313yes—
252C22×#41C2311yescharacteristic
253C22×#41C2311yescharacteristic
254C22×#41C2316yes—
255C23×Q8C2311yescharacteristic
256C23×Q8C2313yes—
257C23×Q8C2311yescharacteristic
258C23×D4C2313yes—
259C23×D4C2313yes—
260C23×D4C2313yes—
261#559—224no—
262Q82—28no—
263#554—224no—
264#550—28no—
265#550—28no—
266#550—44no—
267#548—28no—
268#548—28no—
269#548—28no—
270#548—28no—
271#548—44no—
272#548D4116yescomplemented
273#547—224no—
274#547—224no—
275#546—224no—
276#546—224no—
277#546—224no—
278#546—224no—
279#542—224no—
280#542—224no—
281#536—224no—
282#535—224no—
283#532—224no—
284#532—224no—
285C2×C4⋊Q8C2313yes—
286C2×C4⋊Q8C2313yes—
287C2×C4⋊Q8C2313yes—
288C2×C4⋊Q8C2313yes—
289C2×#127C2313yes—
290C2×#127C2313yes—
291C2×#127C2313yes—
292C2×#127C2313yes—
293#529—224no—
294C2×#126C2313yes—
295C2×#126C2313yes—
296C2×#125C2313yes—
297C2×#124—224no—
298C2×#124C2313yes—
299C2×#124C2313yes—
300C2×#124C2316yes—
301C2×#124C2313yes—
302C2×#124C2313yes—
303C2×#124C2316yes—
304C2×#124C2313yes—
305C2×#124C2311yescharacteristic
306C2×#124C2313yes—
307C2×#124C2313yes—
308C2×#124C2316yes—
309C2×#124C2313yes—
310C2×#123C2316yes—
311C2×#123C2313yes—
312C2×#123C2313yes—
313C2×#123C2316yes—
314C2×#123C2316yes—
315C2×#123C2316yes—
316C2×#123C2313yes—
317C2×C22⋊Q8C2313yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2313yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2316yes—
323C2×C22⋊Q8C2316yes—
324C2×C22⋊Q8C2313yes—
325C2×C22⋊Q8C2313yes—
326C2×C22⋊Q8C2316yes—
327C2×C22⋊Q8C2313yes—
328C2×#121C2313yes—
329C2×#121C2313yes—
330C2×#121C2313yes—
331C2×#121C2313yes—
332C2×#121C2313yes—
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×#121C2316yes—
346C2×#121C2313yes—
347C2×#120C2316yes—
348C2×#120C2316yes—
349C2×#120C2316yes—
350C2×#120C2316yes—
351C2×#120C2316yes—
352#520—28no—
353#520—28no—
354#519—44no—
355C4×#41—28no—
356C4×#41—44no—
357C2×C4×Q8—28no—
358C2×C4×Q8C2313yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2313yes—
367C2×C4×Q8C2313yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2313yes—
370C2×C4×Q8C2313yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×D4C2313yes—
373C2×C4×D4C2313yes—
374C2×C4×D4C2313yes—
375C2×C4×D4C2313yes—
376C2×C4×D4C2313yes—
377C2×C4×D4C2316yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2316yes—
390C2×C4×D4C2313yes—
391C2×#117C2313yes—
392C2×#117C2313yes—
393C2×#117C2313yes—
394C2×#117C2313yes—
395C2×#117C2313yes—
396C2×#117C2313yes—
397C22×C4⋊C4C2313yes—
398C22×C4⋊C4C2313yes—
399C22×C4⋊C4C2313yes—
400C22×C22⋊C4C2316yes—
401C22×C22⋊C4C2316yes—
402C22×C22⋊C4C2316yes—
403C22×C22⋊C4C2316yes—
404C22×C42C2313yes—
405C22×C42C2313yes—
406C22×C42C2313yes—
407#400C2316yes—
408#400C2313yes—
409#400C2313yes—
410#400C2313yes—
411#400C2316yes—
412#399C2313yes—
413#399C2316yes—
414#398C2313yes—
415#398C2313yes—
416#398C2313yes—
417#397C2316yes—
418#397C2316yes—
419#397C2316yes—
420#397C2313yes—
421#397C2311yescharacteristic
422#397C2313yes—
423#397C2311yescharacteristic
424#397C2313yes—
425#397C2313yes—
426#397C2313yes—
427#397C2316yes—
428#397C2316yes—
429#397C2316yes—
430#396C2313yes—
431#396C2316yes—
432#396C2311yescharacteristic
433#396C2313yes—
434#396C2313yes—
435#396C2316yes—
436#396C2316yes—
437#395C2311yescharacteristic
438#395C2313yes—
439#394C2316yes—
440#394C2316yes—
441#394C2316yes—
442#394C2316yes—
443#394C2313yes—
444#394C2313yes—
445#394C2313yes—
446#394C2311yescharacteristic
447#394C2313yes—
448#394C2313yes—
449#394C2313yes—
450#394C2313yes—
451#394C2313yes—
452#394C2313yes—
453#394C2313yes—
454#394C2313yes—
455#394C2313yes—
456#394C2313yes—
457#394C2313yes—
458#394C2313yes—
459#394C2316yes—
460#394C2316yes—
461#393C2316yes—
462#393C2316yes—
463#393C2313yes—
464#393C2313yes—
465#393C2316yes—
466#393C2316yes—
467#393C2316yes—
468#393C2313yes—
469#393C2311yescharacteristic
470#392C2316yes—
471#392C2316yes—
472#392C2316yes—
473#392C2313yes—
474#392C2316yes—
475#392C2316yes—
476#392C2313yes—
477#392C2316yes—
478#392C2313yes—
479#392C2313yes—
480#392C2313yes—
481#392C2313yes—
482#392C2313yes—
483#392C2313yes—
484#392C2316yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2316yes—
489#391C2313yes—
490#391C2313yes—
491#391C2313yes—
492#391C2313yes—
493#391C2313yes—
494#391C2313yes—
495#391C2313yes—
496#391C2313yes—
497#391C2316yes—
498#391C2316yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2316yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2313yes—
510#390C2316yes—
511#390C2313yes—
512#390C2316yes—
513#390C2316yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2313yes—
518#390C2313yes—
519#390C2313yes—
520#390C2313yes—
521#390C2313yes—
522#390C2313yes—
523#390C2313yes—
524#390C2316yes—
525#390C2313yes—
526#390C2316yes—
527#390C2313yes—
528#389C2313yes—
529#389C2313yes—
530#389C2313yes—
531#389C2313yes—
532#389C2313yes—
533#389C2313yes—
534#389C2313yes—
535#389C2313yes—
536#389C2313yes—
537#389C2313yes—
538#388C2316yes—
539#388C2316yes—
540#388C2316yes—
541#388C2316yes—
542#388C2316yes—
543#388C2316yes—
544#388C2313yes—
545#388C2316yes—
546#388C2316yes—
547#388C2316yes—
548#388C2313yes—
549#388C2313yes—
550#388C2313yes—
551#388C2316yes—
552#388C2316yes—
553#388C2311yescharacteristic
554#388C2311yescharacteristic
555#388C2313yes—
556#388C2313yes—
557#387C2313yes—
558#387C2313yes—
559#387C2313yes—
560#387C2313yes—
561#387C2313yes—
562#387C2313yes—
563#387C2313yes—
564#387C2311yescharacteristic
565#386C2316yes—
566#386C2316yes—
567#386C2313yes—
568#386C2316yes—
569#386C2313yes—
570#386C2313yes—
571#386C2316yes—
572#386C2313yes—
573#386C2316yes—
574#386C2316yes—
575#386C2313yes—
576#386C2313yes—
577#386C2313yes—
578#386C2313yes—
579#386C2316yes—
580#386C2316yes—
581#386C2316yes—
582#386C2313yes—
583#386C2316yes—
584#386C2316yes—
585#386C2313yes—
586#386C2313yes—
587#386C2313yes—
588#386C2316yes—
589#386C2316yes—
590#386C2316yes—
591#386C2311yescharacteristic
592#386C2316yes—
593#386C2313yes—
594#386C2313yes—
595#385C2313yes—
596#385C2316yes—
597#385C2313yes—
598#385C2313yes—
599#385C2316yes—
600#385C2313yes—
601#385C2313yes—
602#385C2316yes—
603#385C2313yes—
604#385C2313yes—
605#384C2313yes—
606#382C2313yes—
607#382C2313yes—
608#382C2313yes—
609#381C2316yes—
610#381C2316yes—
611#381C2311yescharacteristic
612#380C2313yes—
613#380C2316yes—
614#380C2313yes—
615#380C2313yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#380C2316yes—
620#380C2316yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625#380C2313yes—
626#380C2313yes—
627#380C2313yes—
628#380C2316yes—
629#380C2313yes—
630#379C2316yes—
631#379C2316yes—
632#379C2316yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C4⋊C4C2313yes—
637C4×C4⋊C4C2313yes—
638C4×C4⋊C4C2313yes—
639C4×C4⋊C4C2313yes—
640C4×C4⋊C4C2316yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2316yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2316yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2313yes—
655C4×C22⋊C4C2316yes—
656C4×C22⋊C4C2316yes—
657#376C2313yes—
658C25C2416yes—
6592−1+4—464no—
660H(5,𝔽2)—464no—
661C2×#41—24no—
662C2×#41—24no—
663C2×#41—212no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—24no—
672C2×#41—224no—
673C2×#41—212no—
674C2×#41—212no—
675C2×#41—212no—
676C2×#41—212no—
677C2×#41—212no—
678C2×#41—212no—
679C2×#41—212no—
680C2×#41—46no—
681C2×#41—46no—
682C2×#41—46no—
683C2×#41—46no—
684C2×#41—86no—
685C2×#41—86no—
686C2×#41C2×D418yes—
687C2×#41#4118yescomplemented
688C22×Q8—24no—
689C22×Q8—24no—
690C22×Q8—212no—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8—24no—
694C22×Q8—212no—
695C22×Q8—46no—
696C22×Q8C2×D418yes—
697C22×Q8C2413yes—
698C22×Q8C2411yescharacteristic
699C22×Q8C2413yes—
700C22×Q8C2411yescharacteristic
701C22×Q8C2413yes—
702C22×Q8C2416yes—
703C22×Q8C2411yescharacteristic
704C22×D4—212no—
705C22×D4—212no—
706C22×D4—212no—
707C22×D4—212no—
708C22×D4—212no—
709C22×D4—212no—
710C22×D4—46no—
711C22×D4—46no—
712C22×D4—46no—
713C22×D4C2413yes—
714C22×D4C2413yes—
715C22×D4C2413yes—
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2413yes—
719C22×D4C2413yes—
720C22×D4C2413yes—
721C22×D4C2411yescharacteristic
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2413yes—
726C22×D4C2413yes—
727C22×D4C2416yes—
728C22×D4C2413yes—
729C22×D4C2413yes—
730C22×D4C2416yes—
731C22×D4C2413yes—
732C22×D4C2413yes—
733C22×D4C2416yes—
734C22×D4C2413yes—
735C23×C4C2413yes—
736C23×C4C2413yes—
737C23×C4C2413yes—
738C23×C4C2416yes—
739C23×C4C2411yescharacteristic
740C23×C4C2413yes—
741C23×C4C2413yes—
742C23×C4C2413yes—
743C23×C4C2416yes—
744C23×C4C2413yes—
745C23×C4C2413yes—
746C23×C4C2413yes—
747C23×C4C2416yes—
748C23×C4C2413yes—
749C23×C4C2413yes—
750C4⋊Q8—212no—
751C4⋊Q8—212no—
752C4⋊Q8—212no—
753C4⋊Q8—212no—
754#127—212no—
755#127—212no—
756#127—212no—
757#127—46no—
758#126—212no—
759#126—212no—
760#125—212no—
761#124—212no—
762#124—212no—
763#124—212no—
764#124—212no—
765#124—224no—
766#124—212no—
767#124—24no—
768#124—224no—
769#124—212no—
770#124—46no—
771#124—86no—
772#124C2×D4124yes—
773#123—212no—
774#123—224no—
775#123—212no—
776#123—224no—
777#123—224no—
778#123—224no—
779#123—46no—
780C22⋊Q8—212no—
781C22⋊Q8—212no—
782C22⋊Q8—212no—
783C22⋊Q8—212no—
784C22⋊Q8—224no—
785C22⋊Q8—24no—
786C22⋊Q8—224no—
787C22⋊Q8—46no—
788C22⋊Q8—46no—
789C22⋊Q8—86no—
790C22⋊Q8C2×D4124yes—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—212no—
795#121—212no—
796#121—212no—
797#121—212no—
798#121—212no—
799#121—212no—
800#121—212no—
801#121—212no—
802#121—212no—
803#121—212no—
804#121—46no—
805#121—46no—
806#121—46no—
807#121—46no—
808#121—86no—
809#121C2×D4124yes—
810#120—224no—
811#120—224no—
812#120—412no—
813#120—86no—
814#120—86no—
815C4×Q8—24no—
816C4×Q8—212no—
817C4×Q8—24no—
818C4×Q8—212no—
819C4×Q8—24no—
820C4×Q8—24no—
821C4×Q8—24no—
822C4×Q8—24no—
823C4×Q8—24no—
824C4×Q8—24no—
825C4×Q8—212no—
826C4×Q8—46no—
827C4×Q8—46no—
828C4×Q8C2×D418yes—
829C4×D4—212no—
830C4×D4—212no—
831C4×D4—212no—
832C4×D4—212no—
833C4×D4—212no—
834C4×D4—212no—
835C4×D4—212no—
836C4×D4—212no—
837C4×D4—212no—
838C4×D4—224no—
839C4×D4—212no—
840C4×D4—212no—
841C4×D4—212no—
842C4×D4—46no—
843C4×D4—46no—
844C4×D4—46no—
845C4×D4—46no—
846C4×D4—86no—
847C4×D4C2×D4124yes—
848#117—212no—
849#117—212no—
850#117—212no—
851#117—46no—
852#117—46no—
853#117—46no—
854C2×C4⋊C4—212no—
855C2×C4⋊C4—212no—
856C2×C4⋊C4—212no—
857C2×C4⋊C4C2413yes—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2413yes—
861C2×C4⋊C4C2413yes—
862C2×C4⋊C4C2416yes—
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2416yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C22⋊C4—224no—
895C2×C22⋊C4—224no—
896C2×C22⋊C4—86no—
897C2×C22⋊C4—86no—
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2413yes—
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2416yes—
902C2×C22⋊C4C2416yes—
903C2×C22⋊C4C2416yes—
904C2×C22⋊C4C2416yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2413yes—
909C2×C22⋊C4C2411yescharacteristic
910C2×C22⋊C4C2411yescharacteristic
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2416yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2416yes—
927C2×C22⋊C4C2416yes—
928C2×C22⋊C4C2416yes—
929C2×C22⋊C4C2416yes—
930C2×C22⋊C4C2411yescharacteristic
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2416yes—
933C2×C22⋊C4C2411yescharacteristic
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⋊C4C2416yes—
943C2×C22⋊C4C2416yes—
944C2×C22⋊C4C2416yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2416yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2416yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2416yes—
961C2×C22⋊C4C2411yescharacteristic
962C2×C42—212no—
963C2×C42—212no—
964C2×C42—46no—
965C2×C42C2413yes—
966C2×C42C2413yes—
967C2×C42C2413yes—
968C2×C42C2413yes—
969C2×C42C2413yes—
970C2×C42C2413yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2413yes—
974C2×C42C2413yes—
975C2×C42C2413yes—
976C2×C42C2411yescharacteristic
977C2×C42C2413yes—
978C2×C42C2416yes—
979C2×C42C2416yes—
980C2×C42C2411yescharacteristic
981C2×C42C2413yes—
982#95C2411yescharacteristic
983#95C2413yes—
984#95C2413yes—
985#95C2413yes—
986#95C2411yescharacteristic
987#95C2413yes—
988#95C2411yescharacteristic
989#95C2411yescharacteristic
990#95C2413yes—
991#95C2411yescharacteristic
992#95C2411yescharacteristic
993#95C2411yescharacteristic
994#95C2413yes—
995#95C2411yescharacteristic
996#95C2413yes—
997#95C2411yescharacteristic
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2416yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2416yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2416yes—
1012#95C2413yes—
1013#95C2413yes—
1014#95C2411yescharacteristic
1015#95C2411yescharacteristic
1016#95C2411yescharacteristic
1017#95C2413yes—
1018#95C2413yes—
1019#95C2416yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2416yes—
1023#95C2416yes—
1024#95C2416yes—
1025C24—212no—
1026C24—212no—
1027C24—46no—
1028C24—46no—
1029C24—46no—
1030C24—46no—
1031C24—46no—
1032C24C2513yes—
1033C24C2513yes—
1034C24C2511yescharacteristic
1035C24C2513yes—
1036C24C2511yescharacteristic
1037C24C2513yes—
1038#41—232no—
1039#41—232no—
1040#41—448no—
1041#41—448no—
1042#41—448no—
1043#41—448no—
1044#41—416no—
1045#41—416no—
1046#41—848no—
1047C2×Q8—232no—
1048C2×Q8—22no—
1049C2×Q8—26no—
1050C2×Q8—26no—
1051C2×Q8—22no—
1052C2×Q8—212no—
1053C2×Q8—26no—
1054C2×Q8—26no—
1055C2×Q8—26no—
1056C2×Q8—22no—
1057C2×Q8—26no—
1058C2×Q8—26no—
1059C2×Q8—22no—
1060C2×Q8—43no—
1061C2×Q8—41no—
1062C2×Q8—41no—
1063C2×Q8—46no—
1064C2×Q8—46no—
1065C2×Q8—448no—
1066C2×Q8—416no—
1067C2×Q8C22×D4112yes—
1068C2×Q8C22×D414yes—
1069C2×Q8C2×#4114yes—
1070C2×Q8H(5,𝔽2)14yes—
1071C2×D4—26no—
1072C2×D4—26no—
1073C2×D4—26no—
1074C2×D4—26no—
1075C2×D4—26no—
1076C2×D4—22no—
1077C2×D4—26no—
1078C2×D4—26no—
1079C2×D4—26no—
1080C2×D4—26no—
1081C2×D4—26no—
1082C2×D4—26no—
1083C2×D4—212no—
1084C2×D4—26no—
1085C2×D4—212no—
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—26no—
1095C2×D4—26no—
1096C2×D4—22no—
1097C2×D4—26no—
1098C2×D4—26no—
1099C2×D4—26no—
1100C2×D4—26no—
1101C2×D4—26no—
1102C2×D4—448no—
1103C2×D4—448no—
1104C2×D4—43no—
1105C2×D4—43no—
1106C2×D4—43no—
1107C2×D4—43no—
1108C2×D4—43no—
1109C2×D4—41no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—43no—
1113C2×D4—43no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—46no—
1118C2×D4—46no—
1119C2×D4—43no—
1120C2×D4—43no—
1121C2×D4—46no—
1122C2×D4—46no—
1123C2×D4—43no—
1124C2×D4—43no—
1125C2×D4—43no—
1126C2×D4—43no—
1127C2×D4—43no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—43no—
1131C2×D4—43no—
1132C2×D4—43no—
1133C2×D4—46no—
1134C2×D4—46no—
1135C2×D4—46no—
1136C2×D4—448no—
1137C2×D4C22×D4112yes—
1138C2×D4C22×D4112yes—
1139C2×D4C2×#41112yes—
1140C22×C4—26no—
1141C22×C4—26no—
1142C22×C4—26no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—26no—
1146C22×C4—22no—
1147C22×C4—26no—
1148C22×C4—212no—
1149C22×C4—212no—
1150C22×C4—212no—
1151C22×C4—26no—
1152C22×C4—26no—
1153C22×C4—26no—
1154C22×C4—26no—
1155C22×C4—26no—
1156C22×C4—26no—
1157C22×C4—26no—
1158C22×C4—26no—
1159C22×C4—26no—
1160C22×C4—22no—
1161C22×C4—26no—
1162C22×C4—26no—
1163C22×C4—212no—
1164C22×C4—41no—
1165C22×C4—46no—
1166C22×C4—43no—
1167C22×C4—43no—
1168C22×C4—43no—
1169C22×C4—43no—
1170C22×C4—43no—
1171C22×C4—43no—
1172C22×C4—46no—
1173C22×C4—46no—
1174C22×C4—43no—
1175C22×C4—46no—
1176C22×C4—43no—
1177C22×C4—46no—
1178C22×C4—43no—
1179C22×C4—43no—
1180C22×C4—43no—
1181C22×C4—43no—
1182C22×C4C22×D4112yes—
1183C22×C4C22×D4112yes—
1184C22×C4C2×#41112yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2513yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2513yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2513yes—
1193C22×C4C2513yes—
1194C22×C4C2513yes—
1195C22×C4C2513yes—
1196C22×C4C2513yes—
1197C22×C4C2513yes—
1198C22×C4C2513yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2513yes—
1205C22×C4C2513yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2513yes—
1210C4⋊C4—26no—
1211C4⋊C4—26no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—212no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—26no—
1219C4⋊C4—22no—
1220C4⋊C4—26no—
1221C4⋊C4—26no—
1222C4⋊C4—26no—
1223C4⋊C4—26no—
1224C4⋊C4—26no—
1225C4⋊C4—26no—
1226C4⋊C4—26no—
1227C4⋊C4—22no—
1228C4⋊C4—26no—
1229C4⋊C4—26no—
1230C4⋊C4—26no—
1231C4⋊C4—26no—
1232C4⋊C4—26no—
1233C4⋊C4—41no—
1234C4⋊C4—43no—
1235C4⋊C4—43no—
1236C4⋊C4—41no—
1237C4⋊C4—43no—
1238C4⋊C4—43no—
1239C4⋊C4—46no—
1240C4⋊C4—43no—
1241C4⋊C4—43no—
1242C4⋊C4—43no—
1243C4⋊C4—43no—
1244C4⋊C4—43no—
1245C4⋊C4C22×D4112yes—
1246C4⋊C4C22×D4112yes—
1247C22⋊C4—26no—
1248C22⋊C4—212no—
1249C22⋊C4—26no—
1250C22⋊C4—26no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—26no—
1256C22⋊C4—26no—
1257C22⋊C4—212no—
1258C22⋊C4—212no—
1259C22⋊C4—212no—
1260C22⋊C4—26no—
1261C22⋊C4—26no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—26no—
1265C22⋊C4—212no—
1266C22⋊C4—26no—
1267C22⋊C4—26no—
1268C22⋊C4—26no—
1269C22⋊C4—26no—
1270C22⋊C4—22no—
1271C22⋊C4—43no—
1272C22⋊C4—43no—
1273C22⋊C4—43no—
1274C22⋊C4—43no—
1275C22⋊C4—46no—
1276C22⋊C4—46no—
1277C22⋊C4—46no—
1278C22⋊C4—46no—
1279C22⋊C4—43no—
1280C22⋊C4—43no—
1281C22⋊C4—46no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—43no—
1287C22⋊C4—46no—
1288C22⋊C4—41no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—43no—
1292C22⋊C4—43no—
1293C22⋊C4—46no—
1294C22⋊C4—43no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4—43no—
1298C22⋊C4—46no—
1299C22⋊C4—46no—
1300C22⋊C4—43no—
1301C22⋊C4—46no—
1302C22⋊C4—43no—
1303C22⋊C4—43no—
1304C22⋊C4—43no—
1305C22⋊C4—43no—
1306C22⋊C4—43no—
1307C22⋊C4—43no—
1308C22⋊C4C22×D4112yes—
1309C22⋊C4C22×D4124yes—
1310C22⋊C4C22×D414yes—
1311C42—22no—
1312C42—26no—
1313C42—26no—
1314C42—26no—
1315C42—26no—
1316C42—26no—
1317C42—26no—
1318C42—26no—
1319C42—26no—
1320C42—26no—
1321C42—26no—
1322C42—26no—
1323C42—41no—
1324C42—43no—
1325C42—46no—
1326C42—46no—
1327C42C22×D4112yes—
1328C23—23no—
1329C23—21no—
1330C23—23no—
1331C23—21no—
1332C23—23no—
1333C23—23no—
1334C23—23no—
1335C23—21no—
1336C23—23no—
1337C23—23no—
1338C23—23no—
1339C23—23no—
1340C23—23no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—23no—
1345C23—23no—
1346C23—23no—
1347C23—23no—
1348C23—21no—
1349C23—23no—
1350C23—21no—
1351C23—23no—
1352C23—23no—
1353C23—21no—
1354C23—23no—
1355C23—23no—
1356C23—21no—
1357C23—23no—
1358C23—21no—
1359C23—23no—
1360C23—23no—
1361C23—21no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—21no—
1366C23—23no—
1367C23—424no—
1368C23—812no—
1369C23—812no—
1370C23—812no—
1371C23—812no—
1372C23—166no—
1373C23—166no—
1374C23C23×D416yes—
1375C23C23×D412yes—
1376C23C22×#4116yes—
1377C23C2611yescharacteristic
1378Q8—224no—
1379Q8—44no—
1380Q8—412no—
1381Q8—44no—
1382Q8—412no—
1383Q8—812no—
1384Q8#546116yes—
1385D4—224no—
1386D4—224no—
1387D4—412no—
1388D4—412no—
1389D4—412no—
1390D4—412no—
1391D4—44no—
1392D4—412no—
1393D4—412no—
1394D4—412no—
1395D4—412no—
1396D4—412no—
1397D4—412no—
1398D4—86no—
1399D4—86no—
1400D4—86no—
1401D4—812no—
1402D4—86no—
1403D4—812no—
1404D4—86no—
1405D4—86no—
1406D4—166no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—23no—
1411C2×C4—21no—
1412C2×C4—23no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—23no—
1416C2×C4—23no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—224no—
1420C2×C4—224no—
1421C2×C4—224no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—23no—
1428C2×C4—23no—
1429C2×C4—23no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—23no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—23no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—23no—
1441C2×C4—23no—
1442C2×C4—23no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—23no—
1446C2×C4—23no—
1447C2×C4—21no—
1448C2×C4—23no—
1449C2×C4—23no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—23no—
1460C2×C4—23no—
1461C2×C4—23no—
1462C2×C4—23no—
1463C2×C4—23no—
1464C2×C4—21no—
1465C2×C4—23no—
1466C2×C4—23no—
1467C2×C4—23no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—23no—
1471C2×C4—21no—
1472C2×C4—23no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—44no—
1477C2×C4—424no—
1478C2×C4—412no—
1479C2×C4—412no—
1480C2×C4—412no—
1481C2×C4—412no—
1482C2×C4—86no—
1483C2×C4—86no—
1484C2×C4—812no—
1485C2×C4—812no—
1486C2×C4—86no—
1487C2×C4—86no—
1488C2×C4C23×D416yes—
1489C2×C4C23×D412yes—
1490C2×C4C23×D416yes—
1491C2×C4C23×D412yes—
1492C2×C4C23×D416yes—
1493C2×C4C22×#4112yes—
1494C2×C4C22×#4116yes—
1495C2×C4C2×H(5,𝔽2)16yes—
1496C2×C4#58512yes—
1497C22—22no—
1498C22—26no—
1499C22—26no—
1500C22—22no—
1501C22—26no—
1502C22—26no—
1503C22—22no—
1504C22—26no—
1505C22—26no—
1506C22—43no—
1507C22—41no—
1508C22—43no—
1509C22—43no—
1510C22—41no—
1511C22—43no—
1512C22—43no—
1513C22—41no—
1514C22—43no—
1515C22—43no—
1516C22—41no—
1517C22—43no—
1518C22—43no—
1519C22—41no—
1520C22—43no—
1521C22—43no—
1522C22—41no—
1523C22—43no—
1524C22—43no—
1525C22—43no—
1526C22—41no—
1527C22—43no—
1528C22—41no—
1529C22—43no—
1530C22—43no—
1531C22—41no—
1532C22—43no—
1533C22—41no—
1534C22—43no—
1535C22—43no—
1536C22—41no—
1537C22—43no—
1538C22—43no—
1539C22—1624no—
1540C22C24×D411yescharacteristic
1541C22C23×#4111yescharacteristic
1542C22C22×H(5,𝔽2)11yescharacteristic
1543C22C2×#58511yescharacteristic
1544C22H(7,𝔽2)11yescharacteristic
1545C22H(7,𝔽2)11yescharacteristic
1546C222−1+611yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—26no—
1550C4—22no—
1551C4—22no—
1552C4—26no—
1553C4—41no—
1554C4—43no—
1555C4—41no—
1556C4—43no—
1557C4—43no—
1558C4—41no—
1559C4—41no—
1560C4—43no—
1561C4—43no—
1562C4—41no—
1563C4—43no—
1564C4—41no—
1565C4—41no—
1566C4—43no—
1567C4—43no—
1568C4—41no—
1569C4—41no—
1570C4—43no—
1571C4C2×#546112yes—
1572C2—42no—
1573C2—46no—
1574C2—46no—
1575C2—83no—
1576C2—81no—
1577C2—83no—
1578C2C22×#54611yescharacteristic
1579C2#6285211yescharacteristic
1580C2#6285711yescharacteristic
1581C2#6292311yescharacteristic
1582C2#6300211yescharacteristic
1583C2#6301011yescharacteristic
1584C2#6305211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3500C2semidirect
2. C2×#3522C2semidirect
3. #59650C2semidirect
4. #59147C2semidirect
5. #59099C2semidirect
6. #52139C2semidirect
7. #45353C2semidirect
8. #45114C2semidirect
9. #45057C2semidirect
10. #45049C2semidirect
11. #45018C2semidirect
12. #44871C2semidirect
13. #39471C2semidirect
14. #39439C2semidirect
15. #38082C2semidirect
16. #38034C2semidirect
17. #37782C2semidirect
18. #37696C2semidirect
19. #36578C2semidirect
20. #36456C2semidirect
21. #36430C2semidirect
22. #36091C2semidirect
23. #36018C2semidirect
24. #35983C2semidirect
25. #35948C2semidirect
26. #35831C2semidirect
27. #35757C2semidirect
28. #34295C2semidirect
29. #34293C2semidirect
30. #34258C2semidirect
31. #34257C2semidirect
36. C2×#559C22semidirect
37. C2×Q82C22semidirect
38. C2×#554C22semidirect
46. C2×#548C22semidirect
47. C2×#548C22semidirect
48. C2×#547C22semidirect
49. C2×#547C22semidirect
54. C2×#542C22semidirect
55. C2×#542C22semidirect
59. C2×#532C22semidirect
60. C2×#529C22semidirect
63. C2×#520C22semidirect
64. C2×#519C22semidirect
67. C22×C4×Q8C22semidirect
68. #2857C22semidirect
69. #2854C22semidirect
70. #2850C22semidirect
71. #2716C22semidirect
72. #2715C22semidirect
73. #2714C22semidirect
74. #2713C22semidirect
75. #2712C22semidirect
76. #2712C22semidirect
77. #2711C22semidirect
78. #2710C22semidirect
79. #2710C22semidirect
80. #2709C22semidirect
81. #2708C22semidirect
82. #2703C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2700C22semidirect
86. #2700C22semidirect
87. #2697C22semidirect
88. #2696C22semidirect
89. #2696C22semidirect
90. #2693C22semidirect
91. #2691C22semidirect
92. #2688C22semidirect
93. #2687C22semidirect
94. #2681C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2676C22semidirect
98. #2673C22semidirect
99. #2670C22semidirect
100. #2640C22semidirect
101. #2625C22semidirect
102. #2620C22semidirect
103. #2619C22semidirect
105. #2615C22semidirect
106. #2592C22semidirect
107. #2563C22semidirect
108. #2558C22semidirect
109. #2557C22semidirect
110. #2557C22semidirect
111. #2554C22semidirect
112. #2548C22semidirect
113. #2547C22semidirect
114. #2544C22semidirect
115. #2544C22semidirect
116. #2540C22semidirect
117. #2538C22semidirect
118. #2537C22semidirect
119. #2536C22semidirect
120. #2535C22semidirect
121. #2504C22semidirect
122. #2503C22semidirect
123. #2492C22semidirect
124. #2492C22semidirect
125. #2492C22semidirect
126. #2491C22semidirect
127. #2491C22semidirect
128. #2487C22semidirect
129. #2487C22semidirect
130. #2480C22semidirect
131. #2472C22semidirect
132. #2472C22semidirect
133. #2472C22semidirect
134. #2459C22semidirect
135. #2457C22semidirect
136. #2452C22semidirect
137. #2452C22semidirect
138. #2448C22semidirect
139. #2448C22semidirect
140. #2447C22semidirect
141. #2447C22semidirect
142. #2439C22semidirect
143. #2439C22semidirect
144. #2437C22semidirect
145. #2436C22semidirect
149. #2431C22semidirect
150. #2431C22semidirect
151. #2431C22semidirect
152. #2428C22semidirect
153. #2428C22semidirect
154. #2427C22semidirect
155. #2427C22semidirect
156. #2426C22semidirect
157. #2426C22semidirect
158. #2424C22semidirect
159. #2421C22semidirect
160. #2421C22semidirect
161. #2420C22semidirect
162. #2420C22semidirect
163. #2418C22semidirect
164. #2417C22semidirect
165. #2416C22semidirect
166. #2415C22semidirect
167. #2414C22semidirect
168. #2414C22semidirect
169. #2414C22semidirect
170. #2412C22semidirect
171. #2412C22semidirect
172. #2409C22semidirect
176. #2407C22semidirect
177. #2407C22semidirect
178. #2407C22semidirect
179. #2404C22semidirect
180. #2404C22semidirect
181. #2398C22semidirect
182. #2395C22semidirect
183. #2392C22semidirect
184. #2392C22semidirect
186. #2388C22semidirect
187. #2367C22semidirect
188. #2366C22semidirect
189. #2363C22semidirect
190. #2363C22semidirect
191. #2362C22semidirect
192. #2361C22semidirect
193. #2358C22semidirect
194. #2354C22semidirect
195. #2352C22semidirect
196. #2351C22semidirect
197. #2351C22semidirect
198. #2351C22semidirect
199. Q8×C4⋊C4C22semidirect
207. #2341C22semidirect
208. #2341C22semidirect
209. #2341C22semidirect
210. Q8×C22⋊C4C22semidirect
211. Q8×C22⋊C4C22semidirect
212. Q8×C22⋊C4C22semidirect
213. Q8×C22⋊C4C22semidirect
214. Q8×C22⋊C4C22semidirect
215. Q8×C22⋊C4C22semidirect
220. #2328C22semidirect
221. #2326C22semidirect
222. #2324C22semidirect
223. #2324C22semidirect
225. #2311C22semidirect
226. #2311C22semidirect
228. C4×C22⋊Q8C22semidirect
229. C4×C22⋊Q8C22semidirect
230. C4×#123C22semidirect
231. C4×#121C22semidirect
232. C4×#121C22semidirect
234. #2297C22semidirect
235. #2297C22semidirect
237. #2290C22semidirect
238. #2290C22semidirect
239. #2276C22semidirect
272. #548D4semidirect
687. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35002
C2×#35222
#596502
#591472
#590992
#521392
#453532
#451142
#450572
#450492
#450182
#448712
#394712
#394392
#380822
#380342
#377822
#376962
#365782
#364562
#364302
#360912
#360182
#359832
#359482
#358312
#357572
#342952
#342932
#342582
#342572