Finite Group Databasebeta

← #7643461

Subgroups — #7643461

Order 512.

8844 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3488C211yesmaximal, characteristic, complemented
3#39961C214yesmaximal, complemented
4#39960C214yesmaximal, complemented
5#39166C214yesmaximal, complemented
6#38949C214yesmaximal, complemented
7#38428C218yesmaximal, complemented
8#38076C218yesmaximal, complemented
9#37419C212yesmaximal, complemented
10#37418C212yesmaximal, complemented
11#37388C212yesmaximal, complemented
12#37300C212yesmaximal, complemented
13#36624C211yesmaximal, characteristic, complemented
14C2×#2850C211yesmaximal, characteristic, complemented
15#35676C211yesmaximal, characteristic, complemented
16#35660C211yesmaximal, characteristic, complemented
17#35619C211yesmaximal, characteristic, complemented
18#35618C211yesmaximal, characteristic, complemented
19#35618C211yesmaximal, characteristic, complemented
20#35616C211yesmaximal, characteristic, complemented
21#35531C211yesmaximal, characteristic, complemented
22#35513C211yesmaximal, characteristic, complemented
23#35306C211yesmaximal, characteristic, complemented
24#35252C211yesmaximal, characteristic, complemented
25#35085C212yesmaximal, complemented
26#35078C212yesmaximal, complemented
27#35032C212yesmaximal, complemented
28#35019C212yesmaximal, complemented
29C2×#2297C211yesmaximal, characteristic, complemented
30C22×2−1+4C2211yescharacteristic, complemented
31C22×H(5,𝔽2)C2211yescharacteristic
32C23×#41C2211yescharacteristic
33#3489—216no—
34#3488—216no—
35C2×#550C2212yes—
36C2×D4×Q8C2212yescomplemented
37C2×#548C2212yes—
38C2×#548C2212yescomplemented
39C2×#547C2212yescomplemented
40C2×#547C2214yescomplemented
41C2×#546C2212yes—
42C2×#546C2214yes—
43C2×#546C2212yescomplemented
44C2×#546C2214yescomplemented
45C2×D42C2212yes—
46C2×D42C2214yes—
47C2×#537C2212yes—
48C2×#537C2211yescharacteristic
49C2×#537C2211yescharacteristic
50C2×#537C2212yescomplemented
51C2×#536C2211yescharacteristic
52C2×#536C2212yescomplemented
53C2×#536C2211yescharacteristic, complemented
54C2×#535C2212yes—
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic, complemented
57C2×#532C2211yescharacteristic, complemented
58C22×#124C2211yescharacteristic, complemented
59C2×#525C2212yes—
60C2×#525C2211yescharacteristic
61C2×#525C2212yescomplemented
62C2×#525C2211yescharacteristic, complemented
63C22×C22⋊Q8C2211yescharacteristic, complemented
64C22×C22⋊Q8C2212yescomplemented
65C22×#121C2212yes—
66C22×#121C2211yescharacteristic
67C2×#520C2211yescharacteristic
68C2×#520C2211yescharacteristic, complemented
69C22×#117C2211yescharacteristic, complemented
70C23×C42C2211yescharacteristic, complemented
71#2857C2211yescharacteristic, complemented
72#2857C2211yescharacteristic, complemented
73#2857C2212yescomplemented
74#2856C2211yescharacteristic, complemented
75#2856C2212yescomplemented
76#2856C2211yescharacteristic, complemented
77#2854C2214yescomplemented
78#2850C2212yescomplemented
79#2850C2212yescomplemented
80#2850C2212yescomplemented
81#2850C2214yescomplemented
82#2850C2214yescomplemented
83#2850C2212yescomplemented
84#2850C2212yescomplemented
85#2850C2212yescomplemented
86#2850C2211yescharacteristic, complemented
87#2850C2211yescharacteristic, complemented
88#2850C2211yescharacteristic, complemented
89#2850C2211yescharacteristic, complemented
90#2847C2214yescomplemented
91#2731C2218yescomplemented
92#2730C2218yescomplemented
93#2729C2218yescomplemented
94#2728C2218yescomplemented
95#2709C2218yescomplemented
96#2708C2218yescomplemented
97#2701C2218yescomplemented
98#2699C2218yescomplemented
99#2697C2218yescomplemented
100#2688C2218yescomplemented
101#2688C2218yescomplemented
102#2686C2218yescomplemented
103#2684C2218yescomplemented
104#2678C2218yescomplemented
105#2673C2218yescomplemented
106#2668C2218yescomplemented
107#2663C2218yescomplemented
108#2661C2218yescomplemented
109#2639C2218yescomplemented
110#2621C2212yescomplemented
111#2620C2212yescomplemented
112#2620C2212yescomplemented
113#2619C2212yescomplemented
114#2617C2218yescomplemented
115#2602C2218yescomplemented
116#2602C2218yescomplemented
117#2591C2218yescomplemented
118#2564C2218yescomplemented
119#2561C2218yescomplemented
120#2543C2218yescomplemented
121#2504C2212yescomplemented
122#2504C2212yescomplemented
123#2504C2212yescomplemented
124#2503C2212yescomplemented
125#2503C2212yescomplemented
126#2503C2212yescomplemented
127#2502C2212yescomplemented
128#2501C2212yescomplemented
129#2500C2212yescomplemented
130#2500C2212yescomplemented
131#2500C2212yescomplemented
132#2500C2212yescomplemented
133#2499C2212yescomplemented
134#2499C2212yescomplemented
135#2499C2212yescomplemented
136#2499C2212yescomplemented
137#2448C2214yescomplemented
138#2447C2214yescomplemented
139#2446C2214yescomplemented
140#2445C2214yescomplemented
141#2444C2218yescomplemented
142#2444C2218yescomplemented
143#2436C2212yescomplemented
144#2436C2212yescomplemented
145#2436C2214yescomplemented
146#2436C2212yescomplemented
147#2435C2212yescomplemented
148#2435C2214yescomplemented
149#2435C2212yescomplemented
150#2435C2212yescomplemented
151#2434C2212yescomplemented
152#2433C2212yescomplemented
153#2432C2212yescomplemented
154#2432C2212yescomplemented
155#2432C2212yescomplemented
156#2432C2214yescomplemented
157#2432C2212yescomplemented
158#2431C2212yescomplemented
159#2431C2212yescomplemented
160#2431C2214yescomplemented
161#2431C2212yescomplemented
162#2431C2212yescomplemented
163#2430C2218yescomplemented
164#2421C2214yescomplemented
165#2421C2214yescomplemented
166#2420C2214yescomplemented
167#2420C2214yescomplemented
168#2419C2218yescomplemented
169#2418C2218yescomplemented
170#2417C2214yescomplemented
171#2416C2214yescomplemented
172#2415C2214yescomplemented
173#2414C2214yescomplemented
174#2413C2214yescomplemented
175#2412C2218yescomplemented
176#2412C2214yescomplemented
177#2411C2214yescomplemented
178#2410C2218yescomplemented
179#2410C2218yescomplemented
180#2410C2214yescomplemented
181#2409C2214yescomplemented
182#2408C2214yescomplemented
183#2407C2214yescomplemented
184#2407C2214yescomplemented
185#2405C2218yescomplemented
186#2404C2218yescomplemented
187#2325C2218yescomplemented
188#2322C2218yescomplemented
189#2321C2218yescomplemented
190#2317C2211yescharacteristic, complemented
191#2317C2211yescharacteristic, complemented
192#2311C2211yescharacteristic, complemented
193#2311C2211yescharacteristic, complemented
194#2310C2211yescharacteristic, complemented
195#2309C2211yescharacteristic, complemented
196#2308C2218yescomplemented
197C4×#121C2214yescomplemented
198C4×#121C2214yescomplemented
199#2297C2211yescharacteristic
200#2297C2211yescharacteristic
201#2297C2212yescomplemented
202#2297C2211yescharacteristic, complemented
203#2297C2211yescharacteristic, complemented
204#2297C2212yescomplemented
205#2297C2212yescomplemented
206#2297C2214yescomplemented
207#2297C2211yescharacteristic, complemented
208#2297C2212yescomplemented
209#2297C2211yescharacteristic, complemented
210C2×#391C2211yescharacteristic, complemented
211C2×#391C2212yescomplemented
212C2×#390C2211yescharacteristic, complemented
213C2×#390C2212yescomplemented
214C2×#388C2214yescomplemented
215C2×#386C2214yescomplemented
216C2×#386C2214yescomplemented
217#2285C2211yescharacteristic, complemented
218C2×#382C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2212yescomplemented
220C2×C4×C22⋊C4C2212yescomplemented
221C2×2−1+4—28no—
222C2×2−1+4—44no—
223C2×2−1+4—44no—
224C2×H(5,𝔽2)—28no—
225C2×H(5,𝔽2)—44no—
226C2×H(5,𝔽2)—44no—
227C22×#41—44no—
228C22×#41—44no—
229C22×#41D4116yescomplemented
230C22×#41C2311yescharacteristic
231C22×#41C2311yescharacteristic
232C22×#41C2311yescharacteristic
233C22×#41C2311yescharacteristic
234C22×#41C2312yes—
235C22×#41C2312yes—
236C22×#41C2314yes—
237C22×#41C2312yes—
238C22×#41C2312yes—
239C22×#41C2312yes—
240C22×#41C2312yes—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C23×Q8C2311yescharacteristic
244C23×Q8C2312yes—
245C23×Q8C2312yes—
246C23×Q8C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2314yes—
249C23×D4C2314yes—
250C23×D4C2312yes—
251C23×D4C2312yes—
252C23×D4C2312yes—
253C23×D4C2312yes—
254C23×D4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2312yes—
257C24×C4C2312yes—
258#550—216no—
259D4×Q8—216no—
260#548—216no—
261#548—216no—
262#547—232no—
263#547—216no—
264#546—232no—
265#546—216no—
266#546—216no—
267#546—232no—
268D42—216no—
269D42—232no—
270#537—28no—
271#537—216no—
272#537—28no—
273#537—216no—
274#536—28no—
275#536—216no—
276#536—44no—
277#535—28no—
278#535—216no—
279#535—44no—
280#532—44no—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2312yes—
285C2×#127C2314yes—
286C2×#127C2312yes—
287C2×#127C2311yescharacteristic
288C2×#127C2312yes—
289C2×#124—44no—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2314yes—
297C2×#124C2311yescharacteristic
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301#525—28no—
302#525—216no—
303#525—28no—
304#525—216no—
305C2×#123C2312yes—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2318yes—
313C2×#123C2314yes—
314C2×C22⋊Q8—28no—
315C2×C22⋊Q8—216no—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×#121—28no—
336C2×#121—216no—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2318yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#120C2312yes—
367C2×#120C2312yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2318yes—
374C2×#120C2314yes—
375#520—28no—
376#520—28no—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×#117—44no—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2314yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C22⋊C4C2314yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2314yes—
418C22×C42—44no—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427C22×C42C2312yes—
428C22×C42C2312yes—
429#400C2318yes—
430#400C2318yes—
431#400C2318yes—
432#399C2318yes—
433#398C2318yes—
434#398C2318yes—
435#397C2318yes—
436#397C2318yes—
437#397C2318yes—
438#397C2318yes—
439#397C2318yes—
440#397C2318yes—
441#397C2318yes—
442#397C2318yes—
443#396C2318yes—
444#396C2318yes—
445#395C2318yes—
446#394C2318yes—
447#394C2318yes—
448#394C2318yes—
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#393C2318yes—
461#393C2318yes—
462#393C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yes—
466#392C2318yes—
467#392C2318yes—
468#392C2318yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#390C2318yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2318yes—
512#389C2314yes—
513#388C2314yes—
514#388C2318yes—
515#388C2318yes—
516#388C2318yes—
517#388C2318yes—
518#388C2318yes—
519#388C2318yes—
520#388C2318yes—
521#388C2318yes—
522#388C2318yes—
523#388C2318yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#387C2318yes—
528#387C2318yes—
529#387C2318yes—
530#387C2318yes—
531#386C2314yes—
532#386C2318yes—
533#386C2318yes—
534#386C2318yes—
535#386C2318yes—
536#386C2318yes—
537#386C2318yes—
538#386C2318yes—
539#386C2318yes—
540#386C2314yes—
541#386C2314yes—
542#386C2318yes—
543#386C2318yes—
544#386C2318yes—
545#386C2318yes—
546#386C2314yes—
547#386C2318yes—
548#386C2318yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2318yes—
554#386C2318yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#385C2318yes—
564#385C2318yes—
565#385C2314yes—
566#385C2314yes—
567#385C2318yes—
568#385C2318yes—
569#385C2318yes—
570#385C2318yes—
571#384C2312yes—
572#384C2312yes—
573#384C2311yescharacteristic
574#384C2311yescharacteristic
575#382C2312yes—
576#382C2312yes—
577#382C2314yes—
578#382C2311yescharacteristic
579#382C2312yes—
580#382C2312yes—
581#382C2311yescharacteristic
582#381C2318yes—
583#381C2318yes—
584#381C2314yes—
585#381C2318yes—
586#380C2314yes—
587#380C2318yes—
588#380C2314yes—
589#380C2314yes—
590#380C2314yes—
591#380C2314yes—
592#379C2318yes—
593#379C2318yes—
594#379C2314yes—
595#379C2318yes—
596C4×C4⋊C4C2314yes—
597C4×C22⋊C4C2314yes—
598C4×C22⋊C4C2314yes—
599C4×C22⋊C4C2314yes—
600C4×C22⋊C4C2314yes—
601C4×C22⋊C4C2314yes—
602C4×C22⋊C4C2314yes—
603C4×C22⋊C4C2312yes—
604C4×C22⋊C4C2312yes—
605C4×C22⋊C4C2312yes—
606C4×C22⋊C4C2312yes—
607C4×C22⋊C4C2312yes—
608C4×C22⋊C4C2312yes—
609C4×C22⋊C4C2312yes—
610C4×C22⋊C4C2312yes—
611C2×#95C2314yes—
612C2×#95C2314yes—
613C2×#95C2314yes—
614C2×#95C2314yes—
615C25C2411yescharacteristic
616C25C2412yes—
617C25C2412yes—
618C25C2414yes—
6192−1+4—464no—
620H(5,𝔽2)—464no—
621C2×#41—28no—
622C2×#41—216no—
623C2×#41—28no—
624C2×#41—28no—
625C2×#41—24no—
626C2×#41—28no—
627C2×#41—24no—
628C2×#41—24no—
629C2×#41—24no—
630C2×#41—24no—
631C2×#41—24no—
632C2×#41—24no—
633C2×#41—24no—
634C2×#41—24no—
635C2×#41—24no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—48no—
641C2×#41—48no—
642C2×#41—42no—
643C2×#41—42no—
644C2×#41—42no—
645C2×#41—42no—
646C2×#41—44no—
647C2×#41—44no—
648C2×#41—44no—
649C2×#41—44no—
650C2×#41—44no—
651C2×#41—44no—
652C2×#41—44no—
653C2×#41—44no—
654C2×#41—464no—
655C2×#41C2×D418yes—
656C2×#41C2×D418yes—
657C2×#41C2×D4116yes—
658C2×#41C2×D4116yes—
659C2×#41C2×D418yes—
660C2×#41C2×D418yes—
661C22×Q8—28no—
662C22×Q8—28no—
663C22×Q8—24no—
664C22×Q8—24no—
665C22×Q8—24no—
666C22×Q8—42no—
667C22×Q8—42no—
668C22×Q8—44no—
669C22×Q8—44no—
670C22×Q8—44no—
671C22×Q8—44no—
672C22×Q8C2×D418yes—
673C22×Q8C2412yes—
674C22×Q8C2411yescharacteristic
675C22×Q8C2412yes—
676C22×Q8C2411yescharacteristic
677C22×Q8C2411yescharacteristic
678C22×Q8C2411yescharacteristic
679C22×Q8C2414yes—
680C22×Q8C2412yes—
681C22×D4—28no—
682C22×D4—216no—
683C22×D4—216no—
684C22×D4—28no—
685C22×D4—28no—
686C22×D4—24no—
687C22×D4—24no—
688C22×D4—24no—
689C22×D4—42no—
690C22×D4—42no—
691C22×D4—44no—
692C22×D4—44no—
693C22×D4—44no—
694C22×D4—44no—
695C22×D4—44no—
696C22×D4—44no—
697C22×D4—48no—
698C22×D4—48no—
699C22×D4—48no—
700C22×D4—416no—
701C22×D4C2×D418yes—
702C22×D4C2×D4116yes—
703C22×D4C2412yes—
704C22×D4C2414yes—
705C22×D4C2412yes—
706C22×D4C2412yes—
707C22×D4C2412yes—
708C22×D4C2412yes—
709C22×D4C2411yescharacteristic
710C22×D4C2412yes—
711C22×D4C2411yescharacteristic
712C22×D4C2412yes—
713C22×D4C2412yes—
714C22×D4C2411yescharacteristic
715C22×D4C2411yescharacteristic
716C22×D4C2414yes—
717C22×D4C2412yes—
718C22×D4C2414yes—
719C22×D4C2414yes—
720C22×D4C2412yes—
721C22×D4C2414yes—
722C22×D4C2414yes—
723C22×D4C2414yes—
724C22×D4C2414yes—
725C22×D4C2414yes—
726C22×D4C2414yes—
727C22×D4C2418yes—
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C23×C4—24no—
732C23×C4—24no—
733C23×C4—44no—
734C23×C4—44no—
735C23×C4—44no—
736C23×C4—44no—
737C23×C4—44no—
738C23×C4C2×D418yes—
739C23×C4C2×D4116yes—
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2412yes—
753C23×C4C2414yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2414yes—
757C23×C4C2412yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2411yescharacteristic
768C4⋊Q8—28no—
769C4⋊Q8—216no—
770C4⋊Q8—42no—
771C4⋊Q8—44no—
772#127—28no—
773#127—216no—
774#127—42no—
775#127—44no—
776#124—28no—
777#124—216no—
778#124—28no—
779#124—216no—
780#124—44no—
781#124—44no—
782#124—48no—
783#124—42no—
784#124—42no—
785#124—44no—
786#124—44no—
787#123—216no—
788#123—216no—
789#123—216no—
790#123—28no—
791#123—216no—
792#123—28no—
793#123—216no—
794#123—416no—
795#123—48no—
796C22⋊Q8—28no—
797C22⋊Q8—216no—
798C22⋊Q8—28no—
799C22⋊Q8—216no—
800C22⋊Q8—28no—
801C22⋊Q8—24no—
802C22⋊Q8—28no—
803C22⋊Q8—28no—
804C22⋊Q8—28no—
805C22⋊Q8—28no—
806C22⋊Q8—216no—
807C22⋊Q8—28no—
808C22⋊Q8—216no—
809C22⋊Q8—24no—
810C22⋊Q8—28no—
811C22⋊Q8—24no—
812C22⋊Q8—28no—
813C22⋊Q8—24no—
814C22⋊Q8—48no—
815#121—216no—
816#121—216no—
817#121—216no—
818#121—28no—
819#121—216no—
820#121—216no—
821#121—216no—
822#121—216no—
823#121—28no—
824#121—216no—
825#121—28no—
826#121—24no—
827#121—28no—
828#121—28no—
829#121—28no—
830#121—28no—
831#121—216no—
832#121—28no—
833#121—216no—
834#121—24no—
835#121—28no—
836#121—24no—
837#121—28no—
838#121—24no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—416no—
843#121—48no—
844#120—28no—
845#120—216no—
846#120—28no—
847#120—216no—
848#120—216no—
849#120—216no—
850#120—216no—
851#120—416no—
852#120—48no—
853C4×Q8—28no—
854C4×Q8—28no—
855C4×D4—216no—
856C4×D4—28no—
857C4×D4—216no—
858C4×D4—28no—
859C4×D4—28no—
860C4×D4—216no—
861C4×D4—28no—
862C4×D4—216no—
863C4×D4—28no—
864C4×D4—216no—
865C4×D4—28no—
866C4×D4—216no—
867C4×D4—48no—
868#117—28no—
869#117—24no—
870#117—28no—
871#117—24no—
872#117—24no—
873#117—24no—
874#117—44no—
875#117—44no—
876#117—44no—
877C2×C4⋊C4—28no—
878C2×C4⋊C4—24no—
879C2×C4⋊C4—28no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—28no—
882C2×C4⋊C4—216no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2418yes—
911C2×C4⋊C4C2418yes—
912C2×C4⋊C4C2418yes—
913C2×C22⋊C4—28no—
914C2×C22⋊C4—216no—
915C2×C22⋊C4—28no—
916C2×C22⋊C4—216no—
917C2×C22⋊C4—48no—
918C2×C22⋊C4—48no—
919C2×C22⋊C4—44no—
920C2×C22⋊C4—48no—
921C2×C22⋊C4—48no—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2418yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2418yes—
953C2×C22⋊C4C2418yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2418yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2418yes—
964C2×C22⋊C4C2418yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2418yes—
970C2×C22⋊C4C2418yes—
971C2×C22⋊C4C2418yes—
972C2×C22⋊C4C2418yes—
973C2×C42—24no—
974C2×C42—24no—
975C2×C42—44no—
976C2×C42—44no—
977C2×C42—44no—
978C2×C42—42no—
979C2×C42—42no—
980C2×C42—42no—
981C2×C42—42no—
982C2×C42—44no—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2414yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2414yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2418yes—
1009#95C2418yes—
1010#95C2418yes—
1011#95C2418yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2418yes—
1019#95C2418yes—
1020#95C2418yes—
1021#95C2418yes—
1022#95C2418yes—
1023#95C2418yes—
1024C24—22no—
1025C24—22no—
1026C24—24no—
1027C24—28no—
1028C24—28no—
1029C24—24no—
1030C24—24no—
1031C24—24no—
1032C24—42no—
1033C24—44no—
1034C24—42no—
1035C24—42no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—48no—
1041C24—48no—
1042C24C22×D414yes—
1043C24C22×D418yes—
1044C24C2512yes—
1045C24C2514yes—
1046C24C2512yes—
1047C24C2512yes—
1048C24C2511yescharacteristic
1049C24C2512yes—
1050C24C2511yescharacteristic
1051C24C2511yescharacteristic
1052#41—232no—
1053#41—232no—
1054#41—432no—
1055#41—432no—
1056#41—416no—
1057#41—416no—
1058#41—432no—
1059#41—432no—
1060#41—464no—
1061#41—432no—
1062#41—432no—
1063#41—416no—
1064#41—416no—
1065C2×Q8—24no—
1066C2×Q8—22no—
1067C2×Q8—22no—
1068C2×Q8—28no—
1069C2×Q8—24no—
1070C2×Q8—22no—
1071C2×Q8—22no—
1072C2×Q8—22no—
1073C2×Q8—22no—
1074C2×Q8—24no—
1075C2×Q8—24no—
1076C2×Q8—24no—
1077C2×Q8—22no—
1078C2×Q8—24no—
1079C2×Q8—22no—
1080C2×Q8—22no—
1081C2×Q8—22no—
1082C2×Q8—44no—
1083C2×Q8—44no—
1084C2×Q8—42no—
1085C2×Q8—42no—
1086C2×Q8—416no—
1087C2×Q8—432no—
1088C2×Q8—432no—
1089C2×Q8—416no—
1090C2×Q8C22×D414yes—
1091C2×Q8C22×D414yes—
1092C2×Q8C22×D418yes—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—24no—
1102C2×D4—28no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—216no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—22no—
1131C2×D4—24no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—28no—
1136C2×D4—416no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—432no—
1150C2×D4—44no—
1151C2×D4—48no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—48no—
1156C2×D4—48no—
1157C2×D4—48no—
1158C2×D4—48no—
1159C2×D4—48no—
1160C2×D4—48no—
1161C2×D4—48no—
1162C2×D4—432no—
1163C2×D4—464no—
1164C2×D4—432no—
1165C2×D4—416no—
1166C2×D4—816no—
1167C2×D4—832no—
1168C2×D4C22×D418yes—
1169C2×D4C22×D418yes—
1170C2×D4C22×D414yes—
1171C2×D4C22×D414yes—
1172C2×D4C22×D418yes—
1173C2×D4C22×D418yes—
1174C2×D4C22×D418yes—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—232no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—28no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—28no—
1201C22×C4—24no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—432no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—48no—
1242C22×C4—44no—
1243C22×C4—48no—
1244C22×C4—432no—
1245C22×C4C22×D414yes—
1246C22×C4C22×D418yes—
1247C22×C4C22×D418yes—
1248C22×C4C22×D414yes—
1249C22×C4C22×D414yes—
1250C22×C4C22×D414yes—
1251C22×C4C22×D414yes—
1252C22×C4C22×D418yes—
1253C22×C4C22×D418yes—
1254C22×C4C22×D418yes—
1255C22×C4C22×D414yes—
1256C22×C4H(5,𝔽2)14yes—
1257C22×C4H(5,𝔽2)14yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2514yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—48no—
1306C4⋊C4—48no—
1307C4⋊C4—48no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—216no—
1336C22⋊C4—28no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—48no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—48no—
1346C22⋊C4—48no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—48no—
1350C22⋊C4—48no—
1351C22⋊C4—48no—
1352C22⋊C4—48no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—48no—
1358C22⋊C4—48no—
1359C42—28no—
1360C42—24no—
1361C42—28no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—24no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—44no—
1376C23—21no—
1377C23—21no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—24no—
1388C23—24no—
1389C23—24no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—28no—
1394C23—28no—
1395C23—216no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—22no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—28no—
1406C23—24no—
1407C23—24no—
1408C23—24no—
1409C23—24no—
1410C23—28no—
1411C23—44no—
1412C23—48no—
1413C23—48no—
1414C23—48no—
1415C23—48no—
1416C23—416no—
1417C23—48no—
1418C23—88no—
1419C23—88no—
1420C23—84no—
1421C23—88no—
1422C23—84no—
1423C23—88no—
1424C23—88no—
1425C23—88no—
1426C23—168no—
1427C23—168no—
1428C23C23×D414yes—
1429C23C23×D412yes—
1430C23C23×D414yes—
1431C23C23×D412yes—
1432C23C23×D412yes—
1433C23C2×H(5,𝔽2)12yes—
1434C23C2×H(5,𝔽2)12yes—
1435C23#58514yes—
1436C23C2611yescharacteristic
1437Q8—28no—
1438Q8—28no—
1439Q8—48no—
1440Q8—416no—
1441Q8—48no—
1442Q8—44no—
1443Q8—48no—
1444Q8—44no—
1445D4—216no—
1446D4—216no—
1447D4—28no—
1448D4—28no—
1449D4—48no—
1450D4—48no—
1451D4—48no—
1452D4—416no—
1453D4—416no—
1454D4—416no—
1455D4—48no—
1456D4—48no—
1457D4—48no—
1458D4—416no—
1459D4—48no—
1460D4—48no—
1461D4—44no—
1462D4—48no—
1463D4—44no—
1464D4—88no—
1465D4—84no—
1466D4—88no—
1467D4—88no—
1468D4—84no—
1469D4—88no—
1470D4—88no—
1471D4—88no—
1472D4—168no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—28no—
1484C2×C4—28no—
1485C2×C4—28no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—216no—
1489C2×C4—216no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—28no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—28no—
1525C2×C4—24no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—48no—
1529C2×C4—48no—
1530C2×C4—48no—
1531C2×C4—48no—
1532C2×C4—416no—
1533C2×C4—416no—
1534C2×C4—48no—
1535C2×C4—48no—
1536C2×C4—416no—
1537C2×C4—48no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—84no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—84no—
1545C2×C4—88no—
1546C2×C4#534116yes—
1547C2×C4C23×D414yes—
1548C2×C4C23×D414yes—
1549C2×C4C23×D412yes—
1550C2×C4C23×D412yes—
1551C2×C4C23×D412yes—
1552C2×C4C23×D412yes—
1553C2×C4C2×H(5,𝔽2)12yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C2×C4#58514yes—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—24no—
1562C22—24no—
1563C22—24no—
1564C22—24no—
1565C22—22no—
1566C22—24no—
1567C22—22no—
1568C22—24no—
1569C22—24no—
1570C22—22no—
1571C22—24no—
1572C22—22no—
1573C22—24no—
1574C22—24no—
1575C22—416no—
1576C22—42no—
1577C22—44no—
1578C22—44no—
1579C22—42no—
1580C22—44no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—44no—
1589C22—44no—
1590C22—48no—
1591C22—44no—
1592C22—48no—
1593C22—44no—
1594C22—42no—
1595C22—44no—
1596C22—42no—
1597C22—816no—
1598C22—168no—
1599C22—1616no—
1600C22C2×#53414yes—
1601C22#350014yes—
1602C22C24×D411yescharacteristic
1603C22C22×H(5,𝔽2)11yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C2×#58512yes—
1606C22C2×#58512yes—
1607C4—24no—
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—24no—
1612C4—44no—
1613C4—42no—
1614C4—42no—
1615C4—44no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4—44no—
1623C4—42no—
1624C4—42no—
1625C4—44no—
1626C4C2×#53414yes—
1627C4C2×#53414yes—
1628C2—24no—
1629C2—24no—
1630C2—42no—
1631C2—44no—
1632C2—44no—
1633C2—82no—
1634C2—82no—
1635C2—84no—
1636C2C22×#53411yescharacteristic
1637C2C2×#350011yescharacteristic
1638C2#6281211yescharacteristic
1639C2#6282112yes—
1640C2#6283012yes—
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×#3489C2semidirect
2. C2×#3488C2semidirect
3. #39961C2semidirect
4. #39960C2semidirect
5. #39166C2semidirect
6. #38949C2semidirect
7. #38428C2semidirect
8. #38076C2semidirect
9. #37419C2semidirect
10. #37418C2semidirect
11. #37388C2semidirect
12. #37300C2semidirect
13. #36624C2semidirect
14. C2×#2850C2semidirect
15. #35676C2semidirect
16. #35660C2semidirect
17. #35619C2semidirect
18. #35618C2semidirect
19. #35618C2semidirect
20. #35616C2semidirect
21. #35531C2semidirect
22. #35513C2semidirect
23. #35306C2semidirect
24. #35252C2semidirect
25. #35085C2semidirect
26. #35078C2semidirect
27. #35032C2semidirect
28. #35019C2semidirect
29. C2×#2297C2semidirect
30. C22×2−1+4C22semidirect
36. C2×D4×Q8C22semidirect
38. C2×#548C22semidirect
39. C2×#547C22semidirect
40. C2×#547C22semidirect
43. C2×#546C22semidirect
44. C2×#546C22semidirect
50. C2×#537C22semidirect
52. C2×#536C22semidirect
53. C2×#536C22semidirect
56. C2×#535C22semidirect
57. C2×#532C22semidirect
58. C22×#124C22semidirect
61. C2×#525C22semidirect
62. C2×#525C22semidirect
63. C22×C22⋊Q8C22semidirect
64. C22×C22⋊Q8C22semidirect
68. C2×#520C22semidirect
69. C22×#117C22semidirect
70. C23×C42C22semidirect
71. #2857C22semidirect
72. #2857C22semidirect
73. #2857C22semidirect
74. #2856C22semidirect
75. #2856C22semidirect
76. #2856C22semidirect
77. #2854C22semidirect
78. #2850C22semidirect
79. #2850C22semidirect
80. #2850C22semidirect
81. #2850C22semidirect
82. #2850C22semidirect
83. #2850C22semidirect
84. #2850C22semidirect
85. #2850C22semidirect
86. #2850C22semidirect
87. #2850C22semidirect
88. #2850C22semidirect
89. #2850C22semidirect
90. #2847C22semidirect
91. #2731C22semidirect
92. #2730C22semidirect
93. #2729C22semidirect
94. #2728C22semidirect
95. #2709C22semidirect
96. #2708C22semidirect
97. #2701C22semidirect
98. #2699C22semidirect
99. #2697C22semidirect
100. #2688C22semidirect
101. #2688C22semidirect
102. #2686C22semidirect
103. #2684C22semidirect
104. #2678C22semidirect
105. #2673C22semidirect
106. #2668C22semidirect
107. #2663C22semidirect
108. #2661C22semidirect
109. #2639C22semidirect
110. #2621C22semidirect
111. #2620C22semidirect
112. #2620C22semidirect
113. #2619C22semidirect
114. #2617C22semidirect
115. #2602C22semidirect
116. #2602C22semidirect
117. #2591C22semidirect
118. #2564C22semidirect
119. #2561C22semidirect
120. #2543C22semidirect
121. #2504C22semidirect
122. #2504C22semidirect
123. #2504C22semidirect
124. #2503C22semidirect
125. #2503C22semidirect
126. #2503C22semidirect
127. #2502C22semidirect
128. #2501C22semidirect
129. #2500C22semidirect
130. #2500C22semidirect
131. #2500C22semidirect
132. #2500C22semidirect
133. #2499C22semidirect
134. #2499C22semidirect
135. #2499C22semidirect
136. #2499C22semidirect
137. #2448C22semidirect
138. #2447C22semidirect
139. #2446C22semidirect
140. #2445C22semidirect
141. #2444C22semidirect
142. #2444C22semidirect
143. #2436C22semidirect
144. #2436C22semidirect
145. #2436C22semidirect
146. #2436C22semidirect
147. #2435C22semidirect
148. #2435C22semidirect
149. #2435C22semidirect
150. #2435C22semidirect
151. #2434C22semidirect
152. #2433C22semidirect
153. #2432C22semidirect
154. #2432C22semidirect
155. #2432C22semidirect
156. #2432C22semidirect
157. #2432C22semidirect
158. #2431C22semidirect
159. #2431C22semidirect
160. #2431C22semidirect
161. #2431C22semidirect
162. #2431C22semidirect
163. #2430C22semidirect
164. #2421C22semidirect
165. #2421C22semidirect
166. #2420C22semidirect
167. #2420C22semidirect
168. #2419C22semidirect
169. #2418C22semidirect
170. #2417C22semidirect
171. #2416C22semidirect
172. #2415C22semidirect
173. #2414C22semidirect
174. #2413C22semidirect
175. #2412C22semidirect
176. #2412C22semidirect
177. #2411C22semidirect
178. #2410C22semidirect
179. #2410C22semidirect
180. #2410C22semidirect
181. #2409C22semidirect
182. #2408C22semidirect
183. #2407C22semidirect
184. #2407C22semidirect
185. #2405C22semidirect
186. #2404C22semidirect
187. #2325C22semidirect
188. #2322C22semidirect
189. #2321C22semidirect
190. #2317C22semidirect
191. #2317C22semidirect
192. #2311C22semidirect
193. #2311C22semidirect
194. #2310C22semidirect
195. #2309C22semidirect
196. #2308C22semidirect
197. C4×#121C22semidirect
198. C4×#121C22semidirect
201. #2297C22semidirect
202. #2297C22semidirect
203. #2297C22semidirect
204. #2297C22semidirect
205. #2297C22semidirect
206. #2297C22semidirect
207. #2297C22semidirect
208. #2297C22semidirect
209. #2297C22semidirect
210. C2×#391C22semidirect
211. C2×#391C22semidirect
212. C2×#390C22semidirect
213. C2×#390C22semidirect
214. C2×#388C22semidirect
215. C2×#386C22semidirect
216. C2×#386C22semidirect
217. #2285C22semidirect
218. C2×#382C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C2×C4×C22⋊C4C22semidirect
229. C22×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34882
#399612
#399602
#391662
#389492
#384282
#380762
#374192
#374182
#373882
#373002
#366242
C2×#28502
#356762
#356602
#356192
#356182
#356162
#355312
#355132
#353062
#352522
#350852
#350782
#350322
#350192
C2×#22972