Finite Group Databasebeta

← #72314933

Subgroups — #72314933

Order 1024.

15655 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#481C211yesmaximal, characteristic, complemented
2C22×#3092C211yesmaximal, characteristic, complemented
3#7641850C211yesmaximal, characteristic
4C2×#34178C211yesmaximal, characteristic, complemented
5#6629688C214yesmaximal, complemented
6#6477653C214yesmaximal, complemented
7#6477650C214yesmaximal, complemented
8#6477639C218yesmaximal, complemented
9#6477626C218yesmaximal, complemented
10#6477609C214yesmaximal, complemented
11#6477607C214yesmaximal, complemented
12#6453098C214yesmaximal, complemented
13#6453073C214yesmaximal, complemented
14#6451937C214yesmaximal, complemented
15#6451911C214yesmaximal, complemented
16#6433212C214yesmaximal, complemented
17#6374882C211yesmaximal, characteristic, complemented
18#6374218C211yesmaximal, characteristic, complemented
19#6374152C211yesmaximal, characteristic, complemented
20C22×#525C2211yescharacteristic
21C23×#121C2211yescharacteristic
22C24×C4⋊C4C2211yescharacteristic
23C2×#3092—216no—
24C2×#3092C2214yes—
25C2×#3092C2214yescomplemented
26C2×#3092C2214yescomplemented
27C2×#3092C2212yescomplemented
28C2×#3092C2212yescomplemented
29C22×#484C2212yescomplemented
30C22×#481—216no—
31C22×#481C2214yes—
32C22×#481C2214yes—
33C22×#481C2214yes—
34C22×#481C2212yescomplemented
35C22×#481C2214yescomplemented
36C22×#481C2214yescomplemented
37C22×#481C2212yescomplemented
38C22×#481C2212yescomplemented
39C22×#483C2212yescomplemented
40C22×#480C2212yescomplemented
41C22×#428C2212yescomplemented
42C23×#106C2212yescomplemented
43C22×#417C2212yescomplemented
44C23×#102C2212yescomplemented
45C22×#407C2211yescharacteristic
46C23×C22⋊C8C2211yescharacteristic
47#37451C2212yes—
48#37450C2212yes—
49#37448C2214yes—
50#37446—22no—
51#37440—22no—
52#37439—22no—
53#37437—22no—
54#35262C2212yes—
55#35252C2214yes—
56#35250C2212yes—
57#35227C2212yes—
58#35222C2212yes—
59#35078C2214yes—
60#35076—22no—
61#35050—22no—
62#35019C2212yes—
63#35001C2212yes—
64#35000—22no—
65#34980—22no—
66#34178—22no—
67#34178—22no—
68#34178—22no—
69#34178—22no—
70#34178C2214yescomplemented
71#34178C2214yescomplemented
72#34178C2214yescomplemented
73#34178C2214yescomplemented
74C2×#2345—22no—
75C2×#2345C2214yescomplemented
76C2×#2344—22no—
77C2×#2344C2214yescomplemented
78C2×#2316C2212yescomplemented
79C2×#2313—22no—
80C2×#2280—22no—
81C2×#2280C2211yescharacteristic
82C2×#2280C2211yescharacteristic
83C2×#2274C2212yescomplemented
84#33121C22116yescomplemented
85#33118C22116yescomplemented
86#33110C22116yescomplemented
87#33107C22116yescomplemented
88#29768C22116yescomplemented
89#29763C22116yescomplemented
90#29761C22116yescomplemented
91#29755C22116yescomplemented
92#24589C22132yescomplemented
93#24583C22116yescomplemented
94#24581C22116yescomplemented
95#24580C22116yescomplemented
96#24579C22116yescomplemented
97#24578C22116yescomplemented
98#24578C22116yescomplemented
99#24488C22132yescomplemented
100#24483C22116yescomplemented
101#24479C22116yescomplemented
102#24478C22116yescomplemented
103#24478C22116yescomplemented
104#24477C22116yescomplemented
105#24476C22116yescomplemented
106#23661C2218yescomplemented
107#23614C2218yescomplemented
108#23610C2218yescomplemented
109#23511C2218yescomplemented
110#21933C2214yescomplemented
111#21932C2214yescomplemented
112#21931C2214yescomplemented
113#21930C2214yescomplemented
114#21767C2214yescomplemented
115#21764C2214yescomplemented
116#21763C2214yescomplemented
117#21762C2212yescomplemented
118#21761C2214yes—
119#21761C2212yescomplemented
120#21760C2214yescomplemented
121#21759C2212yescomplemented
122#21758C2214yes—
123#21758C2212yescomplemented
124#21263C2218yescomplemented
125#21174C2218yescomplemented
126#21068C2218yescomplemented
127#21063C2218yescomplemented
128#20973C2214yes—
129#20967C2214yes—
130#20912C2214yescomplemented
131#20908C2214yescomplemented
132#20836C2214yescomplemented
133#20834C2214yescomplemented
134#20700C2212yescomplemented
135#20699C2212yescomplemented
136#20628C2214yescomplemented
137#20598C2212yescomplemented
138#20597C2212yescomplemented
139C23×#41C2311yescharacteristic
140C24×D4—21no—
141C24×D4C2311yescharacteristic
142C25×C4—21no—
143C25×C4C2311yescharacteristic
144C23×M16C2312yes—
145C24×C8C2312yes—
146C2×#535C2314yes—
147C2×#534—24no—
148C2×#525—21no—
149C2×#525—21no—
150C2×#525—21no—
151C2×#525—21no—
152C2×#525—28no—
153C2×#525—28no—
154C2×#525C2312yes—
155C2×#525C2312yes—
156C2×#525C2312yes—
157C2×#525C2312yes—
158C22×#123—21no—
159C22×C22⋊Q8C2311yescharacteristic
160C22×C22⋊Q8C2311yescharacteristic
161C22×#121—21no—
162C22×#121—21no—
163C22×#121—21no—
164C22×#121—21no—
165C22×#121—21no—
166C22×#121—21no—
167C22×#121—28no—
168C22×#121—28no—
169C22×#121C2312yes—
170C22×#121C2311yescharacteristic
171C22×#121C2312yes—
172C22×#121C2312yes—
173C22×#121C2312yes—
174C22×#121C2312yes—
175C22×#121C2312yes—
176C22×#121C2311yescharacteristic
177C22×#120—21no—
178C22×C4×D4—21no—
179C22×C4×D4—21no—
180C22×#117—24no—
181C22×#117C2311yescharacteristic
182C22×#117C2312yes—
183C22×#117C2312yes—
184C23×C4⋊C4—21no—
185C23×C4⋊C4—21no—
186C23×C4⋊C4—21no—
187C23×C4⋊C4—21no—
188C23×C4⋊C4—21no—
189C23×C4⋊C4—21no—
190C23×C4⋊C4—21no—
191C23×C4⋊C4—28no—
192C23×C4⋊C4D4116yescomplemented
193C23×C4⋊C4C2311yescharacteristic
194C23×C4⋊C4C2311yescharacteristic
195C23×C4⋊C4C2312yes—
196C23×C4⋊C4C2312yes—
197C23×C4⋊C4C2312yes—
198C23×C4⋊C4C2312yes—
199C23×C4⋊C4C2312yes—
200C23×C4⋊C4C2311yescharacteristic
201C23×C4⋊C4C2312yes—
202C23×C22⋊C4—21no—
203#3092—232no—
204#3092—216no—
205#3092—216no—
206#3092—232no—
207#3092—232no—
208C2×#484—216no—
209C2×#484C2318yes—
210C2×#484C2314yescomplemented
211C2×#484C2314yescomplemented
212C2×#481—232no—
213C2×#481—232no—
214C2×#481—232no—
215C2×#481—216no—
216C2×#481—232no—
217C2×#481—232no—
218C2×#481—216no—
219C2×#481—216no—
220C2×#481C2318yes—
221C2×#481C23116yes—
222C2×#481C23116yes—
223C2×#481C2318yes—
224C2×#481C2318yes—
225C2×#481C2318yes—
226C2×#481C2318yes—
227C2×#481C2314yescomplemented
228C2×#481C2314yescomplemented
229C2×#483—216no—
230C2×#483C2318yes—
231C2×#483C2314yescomplemented
232C2×#483C2314yescomplemented
233C2×#480—216no—
234C2×#480C2318yes—
235C2×#480C2314yescomplemented
236C2×#480C2314yescomplemented
237C2×#428—216no—
238C2×#428C2314yes—
239C2×#428C2314yes—
240C2×#428C2318yescomplemented
241C22×#107C2314yescomplemented
242C22×#106—216no—
243C22×#106C2318yes—
244C22×#106C2318yes—
245C22×#106C2314yes—
246C22×#106C2314yes—
247C22×#106C2314yescomplemented
248C2×#424C2318yes—
249C2×#417—216no—
250C2×#417C2314yes—
251C2×#417C2314yes—
252C2×#417C2318yescomplemented
253C2×#418C2318yes—
254C2×#416C2318yes—
255C22×#103C2314yescomplemented
256C22×#102—216no—
257C22×#102C2314yes—
258C22×#102C2314yes—
259C22×#102C2318yes—
260C22×#102C2318yes—
261C22×#102C2314yescomplemented
262C2×#407—28no—
263C2×#407C2312yes—
264C2×#407C2312yes—
265C2×#407C2312yes—
266C2×#407C2312yes—
267C22×C22⋊C8—28no—
268C22×C22⋊C8C2312yes—
269C22×C22⋊C8C2312yes—
270C22×C22⋊C8C2312yes—
271C22×C22⋊C8C2312yes—
272C22×C22⋊C8C2312yes—
273C22×C22⋊C8C2312yes—
274C22×C22⋊C8C2312yes—
275C22×C22⋊C8C2312yes—
276#2856C2318yes—
277#2854—24no—
278#2850C2318yes—
279#2849—24no—
280#2847—24no—
281#2846—24no—
282#2816—24no—
283#2815—24no—
284#2813—28no—
285#2661—28no—
286#2656—24no—
287#2639—24no—
288#2635—28no—
289#2626—24no—
290#2624—24no—
291#2623—24no—
292#2620C2318yes—
293#2619C2318yes—
294#2618—24no—
295#2617—24no—
296#2617—24no—
297#2615—24no—
298#2613—24no—
299#2613—28no—
300#2591—24no—
301#2561—24no—
302#2543—28no—
303#2539—24no—
304#2539—24no—
305#2534—28no—
306#2504C2314yes—
307#2504C2314yes—
308#2503C2314yes—
309#2502C2314yes—
310#2501C2314yes—
311#2501C2314yes—
312#2500C2318yes—
313#2487—24no—
314#2486—24no—
315#2482—24no—
316#2436C2314yes—
317#2435C2314yes—
318#2435C2314yes—
319#2433C2314yes—
320#2433C2314yes—
321#2433C2314yes—
322#2431C2318yes—
323#2416—28no—
324#2414—28no—
325#2411—28no—
326#2410—28no—
327#2410—28no—
328#2408—24no—
329#2408—24no—
330#2405—24no—
331#2405—24no—
332#2404—24no—
333#2403—24no—
334#2403—24no—
335#2345—28no—
336#2345—28no—
337#2345—28no—
338#2345—28no—
339#2345—28no—
340#2345—28no—
341#2345C23116yes—
342#2345C23116yescomplemented
343#2344—28no—
344#2344—28no—
345#2344—28no—
346#2344—28no—
347#2344—28no—
348#2344—28no—
349#2344C23116yes—
350#2344C23116yescomplemented
351#2321—28no—
352#2317C2314yes—
353#2316—24no—
354#2316—24no—
355#2316C2318yes—
356#2316C2318yescomplemented
357#2313—28no—
358#2313—28no—
359#2313—28no—
360#2313—28no—
361#2311C2314yes—
362#2309C2314yes—
363#2308—24no—
364C2×#389—24no—
365C2×#389C2318yescomplemented
366C2×#387—28no—
367C2×#387—28no—
368#2280—28no—
369#2280—28no—
370#2280—28no—
371#2280—28no—
372#2280—21no—
373#2280—21no—
374#2280—21no—
375#2280—21no—
376#2280D412yes—
377#2280D412yes—
378#2280D412yes—
379#2280D412yes—
380#2280C2312yes—
381#2280C2312yes—
382#2280C2312yes—
383#2280C2312yes—
384#2280C2312yes—
385#2280C2312yes—
386#2280C2312yes—
387#2280C2312yes—
388C2×#381—21no—
389C2×#381—24no—
390C2×#381D412yes—
391C2×#380—24no—
392C2×#380—24no—
393C2×#380D412yes—
394C2×#380D412yes—
395C2×#380C2312yes—
396C2×#380C2312yes—
397C2×#379—21no—
398C2×#379D412yes—
399#2274—24no—
400#2274—24no—
401#2274C2318yes—
402#2274C2318yescomplemented
403C2×C4×C4⋊C4—24no—
404C2×C4×C4⋊C4C2318yescomplemented
405C2×C4×C22⋊C4—21no—
406C2×C4×C22⋊C4—21no—
407C2×C4×C22⋊C4—24no—
408C2×C4×C22⋊C4—24no—
409C2×C4×C22⋊C4C2312yes—
410C2×C4×C22⋊C4C2312yes—
411#2085C23132yescomplemented
412#2084C23132yescomplemented
413#2067C23132yescomplemented
414#2066C23132yescomplemented
415#2065C23132yescomplemented
416#2065C23132yescomplemented
417#2042C23132yescomplemented
418#2041C23132yescomplemented
419#1983C23132yescomplemented
420#1982C23132yescomplemented
421#1949C23132yescomplemented
422#1948C23132yescomplemented
423#1927C23132yescomplemented
424#1926C23132yescomplemented
425#1926C23132yescomplemented
426#1925C23132yescomplemented
427#1895C23116yes—
428#1893C2318yes—
429#1893C23116yes—
430#1893C2318yes—
431#1892C2318yes—
432#1892C2318yes—
433#1875C23116yes—
434#1875C2318yescomplemented
435#1874C23116yes—
436#1874C2318yescomplemented
437#1873C2318yescomplemented
438#1872C2318yescomplemented
439#1851C23116yescomplemented
440#1850C23116yes—
441#1850C23116yes—
442#1850C23116yescomplemented
443#1825C2318yescomplemented
444#1824C2318yes—
445#1824C2314yescomplemented
446#1823C2318yes—
447#1823C2314yescomplemented
448#1798C23116yescomplemented
449#1797C23116yescomplemented
450#1788C2318yescomplemented
451#1787C2314yescomplemented
452#1786C2318yes—
453#1786C2318yes—
454#1786C2314yescomplemented
455#1736C2318yes—
456#1735C2318yes—
457#1729C2318yes—
458C26—21no—
459C26C2×D411yescharacteristic
460C22×#41—21no—
461C22×#41—21no—
462C22×#41—24no—
463C22×#41—24no—
464C22×#41—48no—
465C22×#41C2412yes—
466C22×#41C2412yes—
467C23×Q8C2411yescharacteristic
468C23×D4—22no—
469C23×D4—21no—
470C23×D4—22no—
471C23×D4—22no—
472C23×D4—22no—
473C23×D4—22no—
474C23×D4—22no—
475C23×D4—21no—
476C23×D4—21no—
477C23×D4—24no—
478C23×D4—21no—
479C23×D4—21no—
480C23×D4—21no—
481C23×D4—24no—
482C23×D4—48no—
483C23×D4—48no—
484C23×D4—88no—
485C23×D4C2412yes—
486C23×D4C2412yes—
487C23×D4C2412yes—
488C23×D4C2411yescharacteristic
489C24×C4—22no—
490C24×C4—216no—
491C24×C4—21no—
492C24×C4—22no—
493C24×C4—21no—
494C24×C4—22no—
495C24×C4—22no—
496C24×C4—22no—
497C24×C4—22no—
498C24×C4—21no—
499C24×C4—21no—
500C24×C4—48no—
501C24×C4—88no—
502C24×C4C2×D411yescharacteristic
503C24×C4C2×D411yescharacteristic
504C24×C4C2×D411yescharacteristic
505C24×C4C2×D411yescharacteristic
506C24×C4C2×D411yescharacteristic
507C24×C4C2×D411yescharacteristic
508C24×C4C2×D411yescharacteristic
509C24×C4C2×D418yes—
510C24×C4#4118yes—
511C24×C4C2411yescharacteristic
512C24×C4C2411yescharacteristic
513C24×C4C2411yescharacteristic
514C24×C4C2411yescharacteristic
515C24×C4C2411yescharacteristic
516C24×C4C2411yescharacteristic
517C24×C4C2411yescharacteristic
518C22×M16—28no—
519C22×M16—48no—
520C22×M16C2414yes—
521C22×M16C2414yes—
522C23×C8—28no—
523C23×C8—48no—
524C23×C8C2414yes—
525C23×C8C2414yes—
526C23×C8C2414yes—
527C23×C8C2414yes—
528#535—416no—
529#534—816no—
530C2×#127C2418yes—
531C2×#124C2418yes—
532#525—28no—
533#525—28no—
534#525—28no—
535#525—28no—
536#525—28no—
537#525—28no—
538#525—28no—
539#525—28no—
540#525—48no—
541#525—48no—
542#525—48no—
543#525—48no—
544C2×#123—22no—
545C2×#123—22no—
546C2×#123—22no—
547C2×#123—22no—
548C2×#123—28no—
549C2×#123—28no—
550C2×#123—48no—
551C2×C22⋊Q8—21no—
552C2×C22⋊Q8—21no—
553C2×C22⋊Q8—21no—
554C2×C22⋊Q8—21no—
555C2×C22⋊Q8—24no—
556C2×C22⋊Q8—24no—
557C2×C22⋊Q8—24no—
558C2×C22⋊Q8—24no—
559C2×C22⋊Q8C2412yes—
560C2×C22⋊Q8C2412yes—
561C2×C22⋊Q8C2412yes—
562C2×C22⋊Q8C2412yes—
563C2×#121—22no—
564C2×#121—22no—
565C2×#121—22no—
566C2×#121—22no—
567C2×#121—21no—
568C2×#121—22no—
569C2×#121—22no—
570C2×#121—22no—
571C2×#121—21no—
572C2×#121—22no—
573C2×#121—22no—
574C2×#121—22no—
575C2×#121—22no—
576C2×#121—22no—
577C2×#121—21no—
578C2×#121—21no—
579C2×#121—216no—
580C2×#121—28no—
581C2×#121—24no—
582C2×#121—28no—
583C2×#121—28no—
584C2×#121—28no—
585C2×#121—28no—
586C2×#121—28no—
587C2×#121—28no—
588C2×#121—24no—
589C2×#121—28no—
590C2×#121—28no—
591C2×#121—28no—
592C2×#121—28no—
593C2×#121—28no—
594C2×#121—28no—
595C2×#121—24no—
596C2×#121—24no—
597C2×#121—48no—
598C2×#121—48no—
599C2×#121—48no—
600C2×#121—48no—
601C2×#121—48no—
602C2×#121—48no—
603C2×#121C2412yes—
604C2×#121C2412yes—
605C2×#121C2414yes—
606C2×#121C2414yes—
607C2×#121C2414yes—
608C2×#121C2412yes—
609C2×#121C2414yes—
610C2×#121C2412yes—
611C2×#120—22no—
612C2×#120—22no—
613C2×#120—22no—
614C2×#120—22no—
615C2×#120—28no—
616C2×#120—28no—
617C2×#120—28no—
618C2×#120—28no—
619C2×#120—48no—
620C2×C4×D4—22no—
621C2×C4×D4—22no—
622C2×C4×D4—22no—
623C2×C4×D4—22no—
624C2×C4×D4—22no—
625C2×C4×D4—22no—
626C2×C4×D4—22no—
627C2×C4×D4—22no—
628C2×C4×D4—48no—
629C2×C4×D4—48no—
630C2×#117—22no—
631C2×#117—22no—
632C2×#117—21no—
633C2×#117—21no—
634C2×#117—216no—
635C2×#117—216no—
636C2×#117—24no—
637C2×#117—24no—
638C2×#117—48no—
639C2×#117—48no—
640C2×#117—816no—
641C2×#117C2×D414yes—
642C2×#117C2×D414yes—
643C2×#117C2412yes—
644C2×#117C2414yes—
645C2×#117C2412yes—
646C2×#117C2414yes—
647C2×#117C2414yes—
648C2×#117C2414yes—
649C22×C4⋊C4—216no—
650C22×C4⋊C4—216no—
651C22×C4⋊C4—216no—
652C22×C4⋊C4—216no—
653C22×C4⋊C4—216no—
654C22×C4⋊C4—216no—
655C22×C4⋊C4—216no—
656C22×C4⋊C4—22no—
657C22×C4⋊C4—22no—
658C22×C4⋊C4—22no—
659C22×C4⋊C4—22no—
660C22×C4⋊C4—21no—
661C22×C4⋊C4—21no—
662C22×C4⋊C4—22no—
663C22×C4⋊C4—22no—
664C22×C4⋊C4—22no—
665C22×C4⋊C4—22no—
666C22×C4⋊C4—22no—
667C22×C4⋊C4—22no—
668C22×C4⋊C4—22no—
669C22×C4⋊C4—22no—
670C22×C4⋊C4—22no—
671C22×C4⋊C4—22no—
672C22×C4⋊C4—22no—
673C22×C4⋊C4—22no—
674C22×C4⋊C4—21no—
675C22×C4⋊C4—21no—
676C22×C4⋊C4—21no—
677C22×C4⋊C4—22no—
678C22×C4⋊C4—22no—
679C22×C4⋊C4—21no—
680C22×C4⋊C4—28no—
681C22×C4⋊C4—28no—
682C22×C4⋊C4—28no—
683C22×C4⋊C4—24no—
684C22×C4⋊C4—24no—
685C22×C4⋊C4—28no—
686C22×C4⋊C4—28no—
687C22×C4⋊C4—28no—
688C22×C4⋊C4—24no—
689C22×C4⋊C4—24no—
690C22×C4⋊C4—21no—
691C22×C4⋊C4—21no—
692C22×C4⋊C4—21no—
693C22×C4⋊C4—21no—
694C22×C4⋊C4—21no—
695C22×C4⋊C4—28no—
696C22×C4⋊C4C2×D4116yes—
697C22×C4⋊C4C2×D4116yes—
698C22×C4⋊C4C2×D418yes—
699C22×C4⋊C4C2×D418yes—
700C22×C4⋊C4C2×D4116yes—
701C22×C4⋊C4C2×D4116yes—
702C22×C4⋊C4C2×D4116yes—
703C22×C4⋊C4C2×D4116yes—
704C22×C4⋊C4C2×D414yes—
705C22×C4⋊C4C2412yes—
706C22×C4⋊C4C2412yes—
707C22×C4⋊C4C2411yescharacteristic
708C22×C4⋊C4C2412yes—
709C22×C4⋊C4C2411yescharacteristic
710C22×C4⋊C4C2412yes—
711C22×C4⋊C4C2412yes—
712C22×C4⋊C4C2414yes—
713C22×C4⋊C4C2412yes—
714C22×C4⋊C4C2412yes—
715C22×C4⋊C4C2412yes—
716C22×C4⋊C4C2414yes—
717C22×C4⋊C4C2414yes—
718C22×C4⋊C4C2414yes—
719C22×C4⋊C4C2412yes—
720C22×C4⋊C4C2414yes—
721C22×C22⋊C4—21no—
722C22×C22⋊C4—22no—
723C22×C22⋊C4—21no—
724C22×C22⋊C4—22no—
725C22×C22⋊C4—21no—
726C22×C22⋊C4—22no—
727C22×C22⋊C4—22no—
728C22×C22⋊C4—22no—
729C22×C22⋊C4—21no—
730C22×C22⋊C4—22no—
731C22×C22⋊C4—22no—
732C22×C22⋊C4—22no—
733C22×C22⋊C4—22no—
734C22×C22⋊C4—21no—
735C22×C22⋊C4—48no—
736C22×C22⋊C4C2×D414yes—
737C22×C22⋊C4C2×D414yes—
738C22×C22⋊C4C2×D414yes—
739C22×C42—21no—
740C22×C42—22no—
741C22×C42—28no—
742C22×C42C2414yes—
743#484—232no—
744#484—216no—
745#484—216no—
746#483—232no—
747#483—216no—
748#483—216no—
749#481—264no—
750#481—264no—
751#481—232no—
752#481—232no—
753#481—232no—
754#481—232no—
755#481—232no—
756#481—216no—
757#481—216no—
758#480—232no—
759#480—216no—
760#480—216no—
761#428—216no—
762#428—216no—
763#428—232no—
764C2×#107—216no—
765C2×#107C2418yes—
766C2×#107C2418yes—
767C2×#106—216no—
768C2×#106—216no—
769C2×#106—216no—
770C2×#106—232no—
771C2×#106—232no—
772C2×#106C2418yes—
773C2×#106C2418yes—
774C2×#106C24116yes—
775C2×#106C24116yes—
776#424—416no—
777C2×C4⋊C8C24132yes—
778#418—416no—
779#417—216no—
780#417—216no—
781#417—232no—
782#416—416no—
783C2×#103—216no—
784C2×#103C2418yes—
785C2×#103C2418yes—
786C2×#103C24116yes—
787C2×#102—216no—
788C2×#102—216no—
789C2×#102—216no—
790C2×#102—232no—
791C2×#102—232no—
792C2×#102C2418yes—
793C2×#102C2418yes—
794C2×#102C24116yes—
795C2×#102C24116yes—
796C2×#102C24116yes—
797C2×#102C24132yes—
798#407—28no—
799#407—28no—
800#407—28no—
801#407—28no—
802C2×C22⋊C8—28no—
803C2×C22⋊C8—28no—
804C2×C22⋊C8—28no—
805C2×C22⋊C8—28no—
806C2×C22⋊C8—28no—
807C2×C22⋊C8—28no—
808C2×C22⋊C8—28no—
809C2×C22⋊C8—28no—
810C2×C22⋊C8C2414yes—
811C2×C22⋊C8C2414yes—
812C2×C22⋊C8C2414yes—
813C2×C22⋊C8C2414yes—
814C2×C22⋊C8C2414yes—
815C2×C22⋊C8C2414yes—
816C2×C22⋊C8C2414yes—
817C2×C22⋊C8C2414yes—
818#400—28no—
819#399—28no—
820#399—28no—
821#398—28no—
822#397—28no—
823#397—28no—
824#396—216no—
825#394—216no—
826#394—216no—
827#394—216no—
828#394—28no—
829#394—28no—
830#393—28no—
831#392—216no—
832#392—216no—
833#392—28no—
834#392—28no—
835#392—28no—
836#391C2418yes—
837#390—28no—
838#390—216no—
839#390C2418yes—
840#390C2418yes—
841#390C2418yes—
842#389—216no—
843#389—216no—
844#389—28no—
845#389—216no—
846#389C24132yes—
847#388—216no—
848#388—216no—
849#387—232no—
850#387—232no—
851#387—232no—
852#387—232no—
853#386—216no—
854#386—28no—
855#386—28no—
856#386—28no—
857#386—28no—
858#386—216no—
859#385—28no—
860#385—28no—
861#384C2418yes—
862#382C2418yes—
863#381—22no—
864#381—22no—
865#381—22no—
866#381—22no—
867#381—28no—
868#381—216no—
869#381—216no—
870#381C2×D414yes—
871#381C2×D414yes—
872#381C2×D414yes—
873#381C2×D414yes—
874#380—22no—
875#380—22no—
876#380—22no—
877#380—22no—
878#380—28no—
879#380—216no—
880#380—216no—
881#380—216no—
882#380—216no—
883#380C2×D414yes—
884#380C2×D414yes—
885#380C2×D414yes—
886#380C2×D414yes—
887#380C2×D414yes—
888#380C2×D414yes—
889#380C2×D414yes—
890#380C2×D414yes—
891#380C2414yes—
892#380C2414yes—
893#380C2414yes—
894#380C2414yes—
895#379—22no—
896#379—22no—
897#379—22no—
898#379—22no—
899#379—28no—
900#379—28no—
901#379—28no—
902#379C2×D414yes—
903#379C2×D414yes—
904#379C2×D414yes—
905#379C2×D414yes—
906C4×C4⋊C4—216no—
907C4×C4⋊C4—216no—
908C4×C4⋊C4—216no—
909C4×C4⋊C4C24132yes—
910C4×C22⋊C4—22no—
911C4×C22⋊C4—22no—
912C4×C22⋊C4—22no—
913C4×C22⋊C4—22no—
914C4×C22⋊C4—22no—
915C4×C22⋊C4—22no—
916C4×C22⋊C4—22no—
917C4×C22⋊C4—22no—
918C4×C22⋊C4—216no—
919C4×C22⋊C4—216no—
920C4×C22⋊C4—216no—
921C4×C22⋊C4—216no—
922C4×C22⋊C4C2×D414yes—
923C4×C22⋊C4C2×D414yes—
924C4×C22⋊C4C2×D414yes—
925C4×C22⋊C4C2×D414yes—
926C4×C22⋊C4C2414yes—
927C4×C22⋊C4C2414yes—
928C4×C22⋊C4C2414yes—
929C4×C22⋊C4C2414yes—
930C2×#95—28no—
931C2×#95—28no—
932C2×#95—22no—
933C2×#95—22no—
934C2×#95C2×D414yes—
935C2×#95C2×D414yes—
936#340C24116yes—
937#340C24132yes—
938#340C24116yes—
939#336C24132yes—
940C25—28no—
941C25—21no—
942C25—22no—
943C25—22no—
944C25—22no—
945C25—44no—
946C25—44no—
947C25—44no—
948C25—84no—
949C25—84no—
950C25—84no—
951C25#12118yes—
952C25C22×D411yescharacteristic
953C25C22×D411yescharacteristic
954C25C22×D411yescharacteristic
955C25C22×D411yescharacteristic
956C25C22×D411yescharacteristic
957C25C22×D411yescharacteristic
958C25C22×D411yescharacteristic
959C2×#41—24no—
960C2×#41—24no—
961C2×#41—24no—
962C2×#41—24no—
963C2×#41—216no—
964C2×#41—48no—
965C2×#41—432no—
966C2×#41—44no—
967C2×#41—44no—
968C2×#41—84no—
969C2×#41—84no—
970C2×#41—816no—
971C22×Q8—21no—
972C22×Q8—22no—
973C22×Q8—22no—
974C22×Q8—44no—
975C22×Q8C2512yes—
976C22×D4—22no—
977C22×D4—22no—
978C22×D4—22no—
979C22×D4—22no—
980C22×D4—24no—
981C22×D4—24no—
982C22×D4—22no—
983C22×D4—22no—
984C22×D4—24no—
985C22×D4—24no—
986C22×D4—24no—
987C22×D4—24no—
988C22×D4—24no—
989C22×D4—22no—
990C22×D4—22no—
991C22×D4—22no—
992C22×D4—22no—
993C22×D4—21no—
994C22×D4—216no—
995C22×D4—24no—
996C22×D4—24no—
997C22×D4—24no—
998C22×D4—22no—
999C22×D4—216no—
1000C22×D4—48no—
1001C22×D4—48no—
1002C22×D4—44no—
1003C22×D4—432no—
1004C22×D4—44no—
1005C22×D4—44no—
1006C22×D4—44no—
1007C22×D4—48no—
1008C22×D4—48no—
1009C22×D4—48no—
1010C22×D4—48no—
1011C22×D4—48no—
1012C22×D4—48no—
1013C22×D4—48no—
1014C22×D4—416no—
1015C22×D4—44no—
1016C22×D4—44no—
1017C22×D4—44no—
1018C22×D4—84no—
1019C22×D4—84no—
1020C22×D4—816no—
1021C22×D4—84no—
1022C22×D4—88no—
1023C22×D4—84no—
1024C22×D4—88no—
1025C22×D4—88no—
1026C22×D4—88no—
1027C22×D4—88no—
1028C22×D4—84no—
1029C22×D4—864no—
1030C22×D4C2514yes—
1031C22×D4C2512yes—
1032C23×C4—28no—
1033C23×C4—28no—
1034C23×C4—28no—
1035C23×C4—216no—
1036C23×C4—22no—
1037C23×C4—24no—
1038C23×C4—24no—
1039C23×C4—22no—
1040C23×C4—216no—
1041C23×C4—216no—
1042C23×C4—216no—
1043C23×C4—28no—
1044C23×C4—28no—
1045C23×C4—216no—
1046C23×C4—216no—
1047C23×C4—22no—
1048C23×C4—22no—
1049C23×C4—24no—
1050C23×C4—24no—
1051C23×C4—22no—
1052C23×C4—22no—
1053C23×C4—24no—
1054C23×C4—21no—
1055C23×C4—22no—
1056C23×C4—21no—
1057C23×C4—21no—
1058C23×C4—22no—
1059C23×C4—22no—
1060C23×C4—22no—
1061C23×C4—22no—
1062C23×C4—432no—
1063C23×C4—44no—
1064C23×C4—44no—
1065C23×C4—44no—
1066C23×C4—44no—
1067C23×C4—432no—
1068C23×C4—44no—
1069C23×C4—44no—
1070C23×C4—44no—
1071C23×C4—44no—
1072C23×C4—44no—
1073C23×C4—44no—
1074C23×C4—44no—
1075C23×C4—416no—
1076C23×C4—44no—
1077C23×C4—44no—
1078C23×C4—84no—
1079C23×C4—88no—
1080C23×C4—88no—
1081C23×C4—84no—
1082C23×C4—84no—
1083C23×C4—88no—
1084C23×C4—84no—
1085C23×C4—88no—
1086C23×C4—88no—
1087C23×C4—864no—
1088C23×C4#12118yes—
1089C23×C4#12118yes—
1090C23×C4#12118yes—
1091C23×C4#12118yes—
1092C23×C4#12118yes—
1093C23×C4#12118yes—
1094C23×C4#12118yes—
1095C23×C4C22×D411yescharacteristic
1096C23×C4C22×D411yescharacteristic
1097C23×C4C22×D411yescharacteristic
1098C23×C4C22×D411yescharacteristic
1099C23×C4C22×D411yescharacteristic
1100C23×C4C22×D411yescharacteristic
1101C23×C4C22×D411yescharacteristic
1102C23×C4C22×D411yescharacteristic
1103C23×C4C22×D411yescharacteristic
1104C23×C4C22×D414yes—
1105C23×C4C22×D414yes—
1106C23×C4C22×D414yes—
1107C23×C4C22×D418yes—
1108C23×C4C22×D411yescharacteristic
1109C23×C4C22×D411yescharacteristic
1110C23×C4C22×D411yescharacteristic
1111C23×C4C22×D411yescharacteristic
1112C23×C4C22×D411yescharacteristic
1113C23×C4C22×D411yescharacteristic
1114C23×C4C22×D411yescharacteristic
1115C23×C4C22×D411yescharacteristic
1116C23×C4C22×D411yescharacteristic
1117C23×C4C22×D411yescharacteristic
1118C23×C4C22×D411yescharacteristic
1119C23×C4C22×D411yescharacteristic
1120C23×C4C22×D414yes—
1121C23×C4C22×D414yes—
1122C23×C4C22×D414yes—
1123C23×C4C22×D414yes—
1124C23×C4C2×#4114yes—
1125C23×C4C2×#4114yes—
1126C23×C4C2×#4114yes—
1127C23×C4C2×#4114yes—
1128C23×C4C2×#4114yes—
1129C23×C4C2×#4114yes—
1130C23×C4C2×#4114yes—
1131C23×C4C2511yescharacteristic
1132C23×C4C2511yescharacteristic
1133C23×C4C2511yescharacteristic
1134C23×C4C2511yescharacteristic
1135C23×C4C2511yescharacteristic
1136C23×C4C2511yescharacteristic
1137C23×C4C2511yescharacteristic
1138C2×M16—28no—
1139C2×M16—28no—
1140C2×M16—216no—
1141C2×M16—48no—
1142C2×M16—432no—
1143C22×C8—28no—
1144C22×C8—28no—
1145C22×C8—28no—
1146C22×C8—28no—
1147C22×C8—216no—
1148C22×C8—48no—
1149C22×C8—48no—
1150C22×C8—48no—
1151C22×C8—432no—
1152C22×C8C2518yes—
1153C22×C8C2518yes—
1154#127—416no—
1155#124—416no—
1156#123—48no—
1157#123—48no—
1158#123—48no—
1159#123—48no—
1160#123—816no—
1161#123—816no—
1162C22⋊Q8—24no—
1163C22⋊Q8—24no—
1164C22⋊Q8—24no—
1165C22⋊Q8—24no—
1166C22⋊Q8—24no—
1167C22⋊Q8—24no—
1168C22⋊Q8—24no—
1169C22⋊Q8—24no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174#121—28no—
1175#121—28no—
1176#121—28no—
1177#121—28no—
1178#121—24no—
1179#121—24no—
1180#121—24no—
1181#121—24no—
1182#121—28no—
1183#121—28no—
1184#121—28no—
1185#121—28no—
1186#121—24no—
1187#121—24no—
1188#121—24no—
1189#121—24no—
1190#121—48no—
1191#121—48no—
1192#121—48no—
1193#121—48no—
1194#121—48no—
1195#121—48no—
1196#121—48no—
1197#121—48no—
1198#121—48no—
1199#121—48no—
1200#121—48no—
1201#121—48no—
1202#121—44no—
1203#121—44no—
1204#121—44no—
1205#121—44no—
1206#121—816no—
1207#121—832no—
1208#120—48no—
1209#120—48no—
1210#120—48no—
1211#120—48no—
1212#120—816no—
1213#120—816no—
1214#120—816no—
1215#120—816no—
1216C4×D4—48no—
1217C4×D4—48no—
1218C4×D4—48no—
1219C4×D4—48no—
1220C4×D4—48no—
1221C4×D4—48no—
1222C4×D4—48no—
1223C4×D4—48no—
1224#117—216no—
1225#117—24no—
1226#117—24no—
1227#117—24no—
1228#117—24no—
1229#117—216no—
1230#117—48no—
1231#117—48no—
1232#117—48no—
1233#117—48no—
1234#117—48no—
1235#117—48no—
1236#117—44no—
1237#117—44no—
1238#117—832no—
1239#117—832no—
1240C2×C4⋊C4—216no—
1241C2×C4⋊C4—216no—
1242C2×C4⋊C4—28no—
1243C2×C4⋊C4—28no—
1244C2×C4⋊C4—216no—
1245C2×C4⋊C4—216no—
1246C2×C4⋊C4—216no—
1247C2×C4⋊C4—216no—
1248C2×C4⋊C4—216no—
1249C2×C4⋊C4—216no—
1250C2×C4⋊C4—216no—
1251C2×C4⋊C4—216no—
1252C2×C4⋊C4—28no—
1253C2×C4⋊C4—28no—
1254C2×C4⋊C4—216no—
1255C2×C4⋊C4—216no—
1256C2×C4⋊C4—28no—
1257C2×C4⋊C4—28no—
1258C2×C4⋊C4—216no—
1259C2×C4⋊C4—216no—
1260C2×C4⋊C4—216no—
1261C2×C4⋊C4—216no—
1262C2×C4⋊C4—216no—
1263C2×C4⋊C4—216no—
1264C2×C4⋊C4—22no—
1265C2×C4⋊C4—22no—
1266C2×C4⋊C4—22no—
1267C2×C4⋊C4—24no—
1268C2×C4⋊C4—24no—
1269C2×C4⋊C4—24no—
1270C2×C4⋊C4—24no—
1271C2×C4⋊C4—22no—
1272C2×C4⋊C4—22no—
1273C2×C4⋊C4—22no—
1274C2×C4⋊C4—28no—
1275C2×C4⋊C4—28no—
1276C2×C4⋊C4—24no—
1277C2×C4⋊C4—24no—
1278C2×C4⋊C4—28no—
1279C2×C4⋊C4—28no—
1280C2×C4⋊C4—24no—
1281C2×C4⋊C4—24no—
1282C2×C4⋊C4—24no—
1283C2×C4⋊C4—24no—
1284C2×C4⋊C4—24no—
1285C2×C4⋊C4—24no—
1286C2×C4⋊C4—24no—
1287C2×C4⋊C4—22no—
1288C2×C4⋊C4—22no—
1289C2×C4⋊C4—24no—
1290C2×C4⋊C4—24no—
1291C2×C4⋊C4—24no—
1292C2×C4⋊C4—22no—
1293C2×C4⋊C4—22no—
1294C2×C4⋊C4—22no—
1295C2×C4⋊C4—22no—
1296C2×C4⋊C4—22no—
1297C2×C4⋊C4—22no—
1298C2×C4⋊C4—22no—
1299C2×C4⋊C4—22no—
1300C2×C4⋊C4—22no—
1301C2×C4⋊C4—21no—
1302C2×C4⋊C4—21no—
1303C2×C4⋊C4—24no—
1304C2×C4⋊C4—232no—
1305C2×C4⋊C4—216no—
1306C2×C4⋊C4—48no—
1307C2×C4⋊C4—48no—
1308C2×C4⋊C4—44no—
1309C2×C4⋊C4—44no—
1310C2×C4⋊C4—44no—
1311C2×C4⋊C4—44no—
1312C2×C4⋊C4—44no—
1313C2×C4⋊C4—816no—
1314C2×C4⋊C4C22×D418yes—
1315C2×C4⋊C4C22×D418yes—
1316C2×C4⋊C4C22×D418yes—
1317C2×C4⋊C4C22×D4116yes—
1318C2×C4⋊C4C22×D4116yes—
1319C2×C4⋊C4C22×D4116yes—
1320C2×C4⋊C4C22×D4116yes—
1321C2×C4⋊C4C22×D418yes—
1322C2×C4⋊C4C22×D418yes—
1323C2×C4⋊C4C22×D418yes—
1324C2×C4⋊C4C22×D418yes—
1325C2×C4⋊C4C22×D418yes—
1326C2×C4⋊C4C2514yes—
1327C2×C4⋊C4C2512yes—
1328C2×C4⋊C4C2512yes—
1329C2×C4⋊C4C2518yes—
1330C2×C4⋊C4C2514yes—
1331C2×C4⋊C4C2514yes—
1332C2×C22⋊C4—216no—
1333C2×C22⋊C4—24no—
1334C2×C22⋊C4—24no—
1335C2×C22⋊C4—22no—
1336C2×C22⋊C4—22no—
1337C2×C22⋊C4—24no—
1338C2×C22⋊C4—24no—
1339C2×C22⋊C4—22no—
1340C2×C22⋊C4—22no—
1341C2×C22⋊C4—22no—
1342C2×C22⋊C4—22no—
1343C2×C22⋊C4—24no—
1344C2×C22⋊C4—24no—
1345C2×C22⋊C4—24no—
1346C2×C22⋊C4—24no—
1347C2×C22⋊C4—24no—
1348C2×C22⋊C4—24no—
1349C2×C22⋊C4—22no—
1350C2×C22⋊C4—22no—
1351C2×C22⋊C4—22no—
1352C2×C22⋊C4—22no—
1353C2×C22⋊C4—216no—
1354C2×C22⋊C4—216no—
1355C2×C22⋊C4—216no—
1356C2×C22⋊C4—216no—
1357C2×C22⋊C4—48no—
1358C2×C22⋊C4—48no—
1359C2×C22⋊C4—48no—
1360C2×C22⋊C4—48no—
1361C2×C22⋊C4—44no—
1362C2×C22⋊C4—44no—
1363C2×C22⋊C4—44no—
1364C2×C22⋊C4—48no—
1365C2×C22⋊C4—48no—
1366C2×C22⋊C4—48no—
1367C2×C22⋊C4—48no—
1368C2×C22⋊C4—48no—
1369C2×C22⋊C4—48no—
1370C2×C22⋊C4—48no—
1371C2×C22⋊C4—44no—
1372C2×C22⋊C4—44no—
1373C2×C22⋊C4C22×D418yes—
1374C2×C22⋊C4C22×D418yes—
1375C2×C22⋊C4C22×D418yes—
1376C2×C22⋊C4C22×D418yes—
1377C2×C22⋊C4C22×D418yes—
1378C2×C22⋊C4C22×D418yes—
1379C2×C42—22no—
1380C2×C42—22no—
1381C2×C42—24no—
1382C2×C42—24no—
1383C2×C42—232no—
1384C2×C42—48no—
1385C2×C42—48no—
1386C2×C42—44no—
1387C2×C42—816no—
1388C2×C42C22×D418yes—
1389C2×C42C2518yes—
1390#107—216no—
1391#107—216no—
1392#106—232no—
1393#106—232no—
1394#106—216no—
1395#106—216no—
1396C4⋊C8—432no—
1397#103—216no—
1398#103—216no—
1399#103—416no—
1400#102—232no—
1401#102—232no—
1402#102—216no—
1403#102—216no—
1404#102—416no—
1405#102—432no—
1406C22⋊C8—28no—
1407C22⋊C8—28no—
1408C22⋊C8—28no—
1409C22⋊C8—28no—
1410C22⋊C8—28no—
1411C22⋊C8—28no—
1412C22⋊C8—28no—
1413C22⋊C8—28no—
1414#95—232no—
1415#95—232no—
1416#95—24no—
1417#95—24no—
1418#95—24no—
1419#95—24no—
1420#95—216no—
1421#95—216no—
1422#95C22×D418yes—
1423#95C22×D418yes—
1424#95C22×D418yes—
1425#95C22×D418yes—
1426C24—24no—
1427C24—24no—
1428C24—24no—
1429C24—24no—
1430C24—24no—
1431C24—24no—
1432C24—24no—
1433C24—232no—
1434C24—24no—
1435C24—24no—
1436C24—24no—
1437C24—24no—
1438C24—24no—
1439C24—24no—
1440C24—22no—
1441C24—416no—
1442C24—42no—
1443C24—42no—
1444C24—42no—
1445C24—42no—
1446C24—416no—
1447C24—42no—
1448C24—42no—
1449C24—42no—
1450C24—42no—
1451C24—464no—
1452C24—42no—
1453C24—44no—
1454C24—44no—
1455C24—44no—
1456C24—48no—
1457C24—48no—
1458C24—44no—
1459C24—48no—
1460C24—82no—
1461C24—84no—
1462C24—84no—
1463C24—84no—
1464C24—84no—
1465C24—82no—
1466C24—84no—
1467C24—84no—
1468C24—816no—
1469C24—816no—
1470C24—816no—
1471C24—1632no—
1472C24C2×#12114yes—
1473C24C2×#12114yes—
1474C24C2×#12114yes—
1475C24C2×#12114yes—
1476C24C2×#12114yes—
1477C24C2×#12114yes—
1478C24C2×#12114yes—
1479C24#57718yes—
1480C24C23×D411yescharacteristic
1481C24C23×D411yescharacteristic
1482C24C23×D411yescharacteristic
1483C24C23×D411yescharacteristic
1484C24C23×D411yescharacteristic
1485C24C23×D411yescharacteristic
1486C24C23×D411yescharacteristic
1487#41—416no—
1488#41—416no—
1489#41—416no—
1490#41—88no—
1491#41—816no—
1492#41—816no—
1493C2×Q8—22no—
1494C2×Q8—22no—
1495C2×Q8—28no—
1496C2×Q8—48no—
1497C2×Q8—42no—
1498C2×Q8—82no—
1499C2×Q8—84no—
1500C2×D4—24no—
1501C2×D4—22no—
1502C2×D4—24no—
1503C2×D4—22no—
1504C2×D4—216no—
1505C2×D4—28no—
1506C2×D4—416no—
1507C2×D4—416no—
1508C2×D4—48no—
1509C2×D4—48no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—48no—
1517C2×D4—48no—
1518C2×D4—48no—
1519C2×D4—48no—
1520C2×D4—48no—
1521C2×D4—48no—
1522C2×D4—416no—
1523C2×D4—48no—
1524C2×D4—416no—
1525C2×D4—44no—
1526C2×D4—44no—
1527C2×D4—44no—
1528C2×D4—42no—
1529C2×D4—416no—
1530C2×D4—48no—
1531C2×D4—416no—
1532C2×D4—88no—
1533C2×D4—88no—
1534C2×D4—84no—
1535C2×D4—84no—
1536C2×D4—84no—
1537C2×D4—82no—
1538C2×D4—816no—
1539C2×D4—816no—
1540C2×D4—816no—
1541C2×D4—816no—
1542C2×D4—816no—
1543C2×D4—816no—
1544C2×D4—84no—
1545C2×D4—88no—
1546C2×D4—88no—
1547C2×D4—84no—
1548C2×D4—816no—
1549C2×D4—832no—
1550C2×D4—832no—
1551C2×D4—832no—
1552C2×D4—832no—
1553C2×D4—832no—
1554C2×D4—816no—
1555C2×D4—816no—
1556C2×D4—832no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—24no—
1566C22×C4—216no—
1567C22×C4—216no—
1568C22×C4—216no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—24no—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—216no—
1576C22×C4—216no—
1577C22×C4—216no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—216no—
1581C22×C4—28no—
1582C22×C4—28no—
1583C22×C4—216no—
1584C22×C4—28no—
1585C22×C4—28no—
1586C22×C4—216no—
1587C22×C4—216no—
1588C22×C4—28no—
1589C22×C4—28no—
1590C22×C4—216no—
1591C22×C4—28no—
1592C22×C4—22no—
1593C22×C4—22no—
1594C22×C4—24no—
1595C22×C4—22no—
1596C22×C4—416no—
1597C22×C4—416no—
1598C22×C4—416no—
1599C22×C4—416no—
1600C22×C4—48no—
1601C22×C4—48no—
1602C22×C4—48no—
1603C22×C4—48no—
1604C22×C4—48no—
1605C22×C4—48no—
1606C22×C4—48no—
1607C22×C4—48no—
1608C22×C4—416no—
1609C22×C4—416no—
1610C22×C4—416no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—48no—
1624C22×C4—48no—
1625C22×C4—48no—
1626C22×C4—48no—
1627C22×C4—416no—
1628C22×C4—464no—
1629C22×C4—416no—
1630C22×C4—48no—
1631C22×C4—48no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—44no—
1635C22×C4—44no—
1636C22×C4—44no—
1637C22×C4—42no—
1638C22×C4—48no—
1639C22×C4—44no—
1640C22×C4—48no—
1641C22×C4—44no—
1642C22×C4—44no—
1643C22×C4—48no—
1644C22×C4—84no—
1645C22×C4—816no—
1646C22×C4—832no—
1647C22×C4—832no—
1648C22×C4—84no—
1649C22×C4—84no—
1650C22×C4—88no—
1651C22×C4—88no—
1652C22×C4—84no—
1653C22×C4—84no—
1654C22×C4—84no—
1655C22×C4—84no—
1656C22×C4—82no—
1657C22×C4—82no—
1658C22×C4—816no—
1659C22×C4—832no—
1660C22×C4—816no—
1661C22×C4—832no—
1662C22×C4—832no—
1663C22×C4—816no—
1664C22×C4C2×#12114yes—
1665C22×C4C2×#12114yes—
1666C22×C4C2×#12114yes—
1667C22×C4C2×#12114yes—
1668C22×C4C2×#12114yes—
1669C22×C4C2×#12114yes—
1670C22×C4C2×#12114yes—
1671C22×C4C2×#12114yes—
1672C22×C4C2×#12114yes—
1673C22×C4C2×#12114yes—
1674C22×C4C2×#12114yes—
1675C22×C4C2×#12114yes—
1676C22×C4C2×#12114yes—
1677C22×C4C2×#12114yes—
1678C22×C4C2×#12114yes—
1679C22×C4C2×#12114yes—
1680C22×C4C2×#12114yes—
1681C22×C4C2×#12114yes—
1682C22×C4C2×#12114yes—
1683C22×C4C2×#12114yes—
1684C22×C4C2×#12114yes—
1685C22×C4C23×D4116yes—
1686C22×C4C23×D412yes—
1687C22×C4C23×D412yes—
1688C22×C4C23×D412yes—
1689C22×C4C23×D412yes—
1690C22×C4C23×D412yes—
1691C22×C4C23×D412yes—
1692C22×C4C23×D411yescharacteristic
1693C22×C4C23×D411yescharacteristic
1694C22×C4C23×D411yescharacteristic
1695C22×C4C23×D411yescharacteristic
1696C22×C4C23×D411yescharacteristic
1697C22×C4C23×D411yescharacteristic
1698C22×C4C23×D412yes—
1699C22×C4C23×D411yescharacteristic
1700C22×C4C22×#4112yes—
1701C22×C4C22×#4112yes—
1702C22×C4C22×#4112yes—
1703C22×C4C22×#4112yes—
1704C22×C4C22×#4112yes—
1705C22×C4C22×#4112yes—
1706C22×C4C22×#4112yes—
1707C22×C4#58518yes—
1708C22×C4C2611yescharacteristic
1709M16—416no—
1710M16—416no—
1711C2×C8—28no—
1712C2×C8—28no—
1713C2×C8—216no—
1714C2×C8—216no—
1715C2×C8—416no—
1716C2×C8—416no—
1717C2×C8—416no—
1718C2×C8—416no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—216no—
1722C4⋊C4—28no—
1723C4⋊C4—28no—
1724C4⋊C4—28no—
1725C4⋊C4—28no—
1726C4⋊C4—216no—
1727C4⋊C4—216no—
1728C4⋊C4—216no—
1729C4⋊C4—28no—
1730C4⋊C4—28no—
1731C4⋊C4—216no—
1732C4⋊C4—24no—
1733C4⋊C4—22no—
1734C4⋊C4—22no—
1735C4⋊C4—24no—
1736C4⋊C4—22no—
1737C4⋊C4—22no—
1738C4⋊C4—216no—
1739C4⋊C4—48no—
1740C4⋊C4—48no—
1741C4⋊C4—44no—
1742C4⋊C4—44no—
1743C4⋊C4—44no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—44no—
1747C4⋊C4—44no—
1748C4⋊C4—44no—
1749C4⋊C4—44no—
1750C4⋊C4—832no—
1751C4⋊C4—816no—
1752C4⋊C4C23×D418yes—
1753C4⋊C4C23×D418yes—
1754C22⋊C4—216no—
1755C22⋊C4—216no—
1756C22⋊C4—216no—
1757C22⋊C4—216no—
1758C22⋊C4—48no—
1759C22⋊C4—48no—
1760C22⋊C4—48no—
1761C22⋊C4—48no—
1762C22⋊C4—48no—
1763C22⋊C4—44no—
1764C22⋊C4—44no—
1765C22⋊C4—44no—
1766C22⋊C4—44no—
1767C22⋊C4—44no—
1768C22⋊C4—44no—
1769C22⋊C4—48no—
1770C22⋊C4—48no—
1771C22⋊C4—48no—
1772C22⋊C4—48no—
1773C22⋊C4—48no—
1774C22⋊C4—48no—
1775C22⋊C4—48no—
1776C22⋊C4—44no—
1777C22⋊C4—44no—
1778C22⋊C4—44no—
1779C22⋊C4—44no—
1780C22⋊C4—816no—
1781C22⋊C4—816no—
1782C22⋊C4—816no—
1783C22⋊C4—816no—
1784C42—216no—
1785C42—48no—
1786C42—48no—
1787C42—44no—
1788C42—44no—
1789C42—48no—
1790C42—832no—
1791C23—232no—
1792C23—28no—
1793C23—28no—
1794C23—28no—
1795C23—22no—
1796C23—22no—
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—22no—
1802C23—22no—
1803C23—22no—
1804C23—22no—
1805C23—28no—
1806C23—28no—
1807C23—28no—
1808C23—28no—
1809C23—28no—
1810C23—28no—
1811C23—28no—
1812C23—28no—
1813C23—28no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—44no—
1821C23—44no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—416no—
1829C23—416no—
1830C23—416no—
1831C23—416no—
1832C23—416no—
1833C23—4128no—
1834C23—416no—
1835C23—48no—
1836C23—44no—
1837C23—44no—
1838C23—48no—
1839C23—48no—
1840C23—44no—
1841C23—42no—
1842C23—44no—
1843C23—84no—
1844C23—88no—
1845C23—88no—
1846C23—88no—
1847C23—88no—
1848C23—84no—
1849C23—88no—
1850C23—88no—
1851C23—88no—
1852C23—84no—
1853C23—88no—
1854C23—88no—
1855C23—168no—
1856C23—1616no—
1857C23—1616no—
1858C23—1616no—
1859C23—1664no—
1860C23#3043116yes—
1861C23C22×#12112yes—
1862C23C22×#12112yes—
1863C23C22×#12112yes—
1864C23C22×#12112yes—
1865C23C22×#12112yes—
1866C23C22×#12112yes—
1867C23C22×#12112yes—
1868C23#348514yes—
1869C23C2×#57714yes—
1870C23C2×#57714yes—
1871C23C2×#57714yes—
1872C23#358514yes—
1873C23C24×D411yescharacteristic
1874Q8—44no—
1875Q8—44no—
1876Q8—84no—
1877D4—48no—
1878D4—44no—
1879D4—48no—
1880D4—44no—
1881D4—88no—
1882D4—88no—
1883D4—84no—
1884D4—88no—
1885D4—816no—
1886D4—816no—
1887D4—88no—
1888D4—88no—
1889D4—88no—
1890D4—816no—
1891D4—816no—
1892D4—88no—
1893D4—88no—
1894D4—88no—
1895D4—3216no—
1896C2×C4—28no—
1897C2×C4—28no—
1898C2×C4—28no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—28no—
1906C2×C4—28no—
1907C2×C4—28no—
1908C2×C4—28no—
1909C2×C4—28no—
1910C2×C4—28no—
1911C2×C4—24no—
1912C2×C4—24no—
1913C2×C4—24no—
1914C2×C4—24no—
1915C2×C4—24no—
1916C2×C4—24no—
1917C2×C4—24no—
1918C2×C4—24no—
1919C2×C4—24no—
1920C2×C4—24no—
1921C2×C4—24no—
1922C2×C4—24no—
1923C2×C4—216no—
1924C2×C4—216no—
1925C2×C4—216no—
1926C2×C4—28no—
1927C2×C4—28no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—44no—
1932C2×C4—44no—
1933C2×C4—44no—
1934C2×C4—44no—
1935C2×C4—44no—
1936C2×C4—44no—
1937C2×C4—44no—
1938C2×C4—44no—
1939C2×C4—44no—
1940C2×C4—416no—
1941C2×C4—416no—
1942C2×C4—432no—
1943C2×C4—432no—
1944C2×C4—48no—
1945C2×C4—48no—
1946C2×C4—48no—
1947C2×C4—44no—
1948C2×C4—48no—
1949C2×C4—44no—
1950C2×C4—48no—
1951C2×C4—48no—
1952C2×C4—44no—
1953C2×C4—42no—
1954C2×C4—42no—
1955C2×C4—44no—
1956C2×C4—42no—
1957C2×C4—88no—
1958C2×C4—816no—
1959C2×C4—816no—
1960C2×C4—88no—
1961C2×C4—816no—
1962C2×C4—88no—
1963C2×C4—88no—
1964C2×C4—88no—
1965C2×C4—816no—
1966C2×C4—88no—
1967C2×C4—88no—
1968C2×C4—84no—
1969C2×C4—84no—
1970C2×C4—88no—
1971C2×C4—84no—
1972C2×C4—88no—
1973C2×C4C22×#12112yes—
1974C2×C4C22×#12112yes—
1975C2×C4C22×#12112yes—
1976C2×C4C22×#12112yes—
1977C2×C4C22×#12112yes—
1978C2×C4C22×#12112yes—
1979C2×C4C22×#12112yes—
1980C2×C4#344918yes—
1981C2×C4#348514yes—
1982C2×C4#349118yes—
1983C2×C4C24×D411yescharacteristic
1984C2×C4C23×#4111yescharacteristic
1985C2×C4C2×#58514yes—
1986C8—48no—
1987C8—48no—
1988C22—232no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—28no—
1998C22—28no—
1999C22—28no—
2000C22—28no—
2001C22—28no—
2002C22—22no—
2003C22—22no—
2004C22—22no—
2005C22—22no—
2006C22—22no—
2007C22—22no—
2008C22—22no—
2009C22—22no—
2010C22—416no—
2011C22—416no—
2012C22—416no—
2013C22—416no—
2014C22—416no—
2015C22—416no—
2016C22—44no—
2017C22—44no—
2018C22—82no—
2019C22—84no—
2020C22—82no—
2021C22—84no—
2022C22—88no—
2023C22—816no—
2024C22—84no—
2025C22—82no—
2026C22—168no—
2027C22—1616no—
2028C22—1616no—
2029C22—1616no—
2030C22#3508914yes—
2031C22C2×#304314yes—
2032C22C2×#304314yes—
2033C22C2×#304314yes—
2034C22#6042314yes—
2035C22C23×#12111yescharacteristic
2036C22C2×#348512yes—
2037C22C22×#57712yes—
2038C22C2×#358512yes—
2039C4—22no—
2040C4—22no—
2041C4—22no—
2042C4—22no—
2043C4—22no—
2044C4—22no—
2045C4—48no—
2046C4—48no—
2047C4—416no—
2048C4—82no—
2049C4—82no—
2050C4—88no—
2051C4—84no—
2052C4—82no—
2053C4#3508914yes—
2054C4C2×#344912yes—
2055C4C2×#349112yes—
2056C2—24no—
2057C2—24no—
2058C2—24no—
2059C2—24no—
2060C2—24no—
2061C2—42no—
2062C2—42no—
2063C2—162no—
2064C2—164no—
2065C2C2×#3508911yescharacteristic
2066C2C2×#6042311yescharacteristic
2067C2C22×#304311yescharacteristic
2068C2#1057803114yes—
subgroupG/H
center, socleC23C24×D4
commutator, Frattini, cosocleC22×C4C26
prime radical#7641850C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#481C2semidirect
2. C22×#3092C2semidirect
4. C2×#34178C2semidirect
5. #6629688C2semidirect
6. #6477653C2semidirect
7. #6477650C2semidirect
8. #6477639C2semidirect
9. #6477626C2semidirect
10. #6477609C2semidirect
11. #6477607C2semidirect
12. #6453098C2semidirect
13. #6453073C2semidirect
14. #6451937C2semidirect
15. #6451911C2semidirect
16. #6433212C2semidirect
17. #6374882C2semidirect
18. #6374218C2semidirect
19. #6374152C2semidirect
25. C2×#3092C22semidirect
26. C2×#3092C22semidirect
27. C2×#3092C22semidirect
28. C2×#3092C22semidirect
29. C22×#484C22semidirect
34. C22×#481C22semidirect
35. C22×#481C22semidirect
36. C22×#481C22semidirect
37. C22×#481C22semidirect
38. C22×#481C22semidirect
39. C22×#483C22semidirect
40. C22×#480C22semidirect
41. C22×#428C22semidirect
42. C23×#106C22semidirect
43. C22×#417C22semidirect
44. C23×#102C22semidirect
70. #34178C22semidirect
71. #34178C22semidirect
72. #34178C22semidirect
73. #34178C22semidirect
75. C2×#2345C22semidirect
77. C2×#2344C22semidirect
78. C2×#2316C22semidirect
83. C2×#2274C22semidirect
84. #33121C22semidirect
85. #33118C22semidirect
86. #33110C22semidirect
87. #33107C22semidirect
88. #29768C22semidirect
89. #29763C22semidirect
90. #29761C22semidirect
91. #29755C22semidirect
92. #24589C22semidirect
93. #24583C22semidirect
94. #24581C22semidirect
95. #24580C22semidirect
96. #24579C22semidirect
97. #24578C22semidirect
98. #24578C22semidirect
99. #24488C22semidirect
100. #24483C22semidirect
101. #24479C22semidirect
102. #24478C22semidirect
103. #24478C22semidirect
104. #24477C22semidirect
105. #24476C22semidirect
106. #23661C22semidirect
107. #23614C22semidirect
108. #23610C22semidirect
109. #23511C22semidirect
110. #21933C22semidirect
111. #21932C22semidirect
112. #21931C22semidirect
113. #21930C22semidirect
114. #21767C22semidirect
115. #21764C22semidirect
116. #21763C22semidirect
117. #21762C22semidirect
119. #21761C22semidirect
120. #21760C22semidirect
121. #21759C22semidirect
123. #21758C22semidirect
124. #21263C22semidirect
125. #21174C22semidirect
126. #21068C22semidirect
127. #21063C22semidirect
130. #20912C22semidirect
131. #20908C22semidirect
132. #20836C22semidirect
133. #20834C22semidirect
134. #20700C22semidirect
135. #20699C22semidirect
136. #20628C22semidirect
137. #20598C22semidirect
138. #20597C22semidirect
192. C23×C4⋊C4D4semidirect
210. C2×#484C23semidirect
211. C2×#484C23semidirect
227. C2×#481C23semidirect
228. C2×#481C23semidirect
231. C2×#483C23semidirect
232. C2×#483C23semidirect
235. C2×#480C23semidirect
236. C2×#480C23semidirect
240. C2×#428C23semidirect
241. C22×#107C23semidirect
247. C22×#106C23semidirect
252. C2×#417C23semidirect
255. C22×#103C23semidirect
261. C22×#102C23semidirect
342. #2345C23semidirect
350. #2344C23semidirect
356. #2316C23semidirect
365. C2×#389C23semidirect
402. #2274C23semidirect
404. C2×C4×C4⋊C4C23semidirect
411. #2085C23semidirect
412. #2084C23semidirect
413. #2067C23semidirect
414. #2066C23semidirect
415. #2065C23semidirect
416. #2065C23semidirect
417. #2042C23semidirect
418. #2041C23semidirect
419. #1983C23semidirect
420. #1982C23semidirect
421. #1949C23semidirect
422. #1948C23semidirect
423. #1927C23semidirect
424. #1926C23semidirect
425. #1926C23semidirect
426. #1925C23semidirect
434. #1875C23semidirect
436. #1874C23semidirect
437. #1873C23semidirect
438. #1872C23semidirect
439. #1851C23semidirect
442. #1850C23semidirect
443. #1825C23semidirect
445. #1824C23semidirect
447. #1823C23semidirect
448. #1798C23semidirect
449. #1797C23semidirect
450. #1788C23semidirect
451. #1787C23semidirect
454. #1786C23semidirect

Maximal subgroups

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

subgroupindex
C23×#4812
C22×#30922
#76418502
C2×#341782
#66296882
#64776532
#64776502
#64776392
#64776262
#64776092
#64776072
#64530982
#64530732
#64519372
#64519112
#64332122
#63748822
#63742182
#63741522