Finite Group Databasebeta

← #6502887

Subgroups — #6502887

Order 512.

2303 conjugacy classes of subgroups.

The subgroup lattice has 1597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3194C211yesmaximal, characteristic, complemented
2C2×#2976C211yesmaximal, characteristic, complemented
3#37437C211yesmaximal, characteristic, complemented
4#35223C211yesmaximal, characteristic, complemented
5#28570C211yesmaximal, characteristic, complemented
6#28567C211yesmaximal, characteristic, complemented
7#28560C211yesmaximal, characteristic, complemented
8#28557C211yesmaximal, characteristic, complemented
9#25254C211yesmaximal, characteristic, complemented
10#25250C211yesmaximal, characteristic, complemented
11#25236C211yesmaximal, characteristic, complemented
12#25232C211yesmaximal, characteristic, complemented
13#25128C211yesmaximal, characteristic, complemented
14#25124C211yesmaximal, characteristic, complemented
15#25112C211yesmaximal, characteristic, complemented
16#25108C211yesmaximal, characteristic, complemented
17#24795C211yesmaximal, characteristic, complemented
18#24792C211yesmaximal, characteristic, complemented
19#24790C211yesmaximal, characteristic, complemented
20#24788C211yesmaximal, characteristic, complemented
21#24617C211yesmaximal, characteristic, complemented
22#24615C211yesmaximal, characteristic, complemented
23#24567C211yesmaximal, characteristic, complemented
24#24565C211yesmaximal, characteristic, complemented
25#24519C211yesmaximal, characteristic, complemented
26#24513C211yesmaximal, characteristic, complemented
27#24397C211yesmaximal, characteristic, complemented
28#24391C211yesmaximal, characteristic, complemented
29#21760C211yesmaximal, characteristic, complemented
30C2×#1874C211yesmaximal, characteristic, complemented
31#20844C211yesmaximal, characteristic, complemented
32C2×#537C2211yescharacteristic, complemented
33C2×#525C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C23×C4⋊C4C2211yescharacteristic
37#3194—28no—
38C2×#482C2211yescharacteristic
39C2×#482C2211yescharacteristic
40C2×#483C2211yescharacteristic
41C2×#480C2211yescharacteristic
42C2×#469C2211yescharacteristic
43C2×#469C2211yescharacteristic
44C2×#469C2211yescharacteristic, complemented
45C2×#468C2211yescharacteristic
46C2×#468C2211yescharacteristic
47C2×#468C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic, complemented
49C2×#465C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54#2976—28no—
55C2×#436C2211yescharacteristic, complemented
56C2×#436C2211yescharacteristic, complemented
57C2×#435C2211yescharacteristic
58C2×#435C2211yescharacteristic
59C2×#435C2211yescharacteristic, complemented
60C2×#435C2211yescharacteristic, complemented
61C2×C8×D4C2211yescharacteristic
62C2×C8×D4C2211yescharacteristic
63C2×#433C2211yescharacteristic, complemented
64C2×#433C2211yescharacteristic, complemented
65C2×#428C2211yescharacteristic, complemented
66C2×#428C2211yescharacteristic, complemented
67C22×#102C2211yescharacteristic
68C22×#102C2211yescharacteristic
69C2×#408C2211yescharacteristic, complemented
70C2×#408C2211yescharacteristic, complemented
71C2×#407C2211yescharacteristic
72C22×C22⋊C8C2211yescharacteristic
73#2847—21no—
74#2847—21no—
75#2816—21no—
76#2815—21no—
77#2661—21no—
78#2661—21no—
79#2624C2211yescharacteristic
80#2624C2211yescharacteristic
81#2618—21no—
82#2618—21no—
83#2615C2211yescharacteristic
84#2615C2211yescharacteristic
85#2613—21no—
86#2613—21no—
87#2561—21no—
88#2539—21no—
89#2486C2211yescharacteristic
90#2486C2211yescharacteristic
91#2417—21no—
92#2417—21no—
93#2417C2211yescharacteristic
94#2417C2211yescharacteristic
95#2417C2211yescharacteristic, complemented
96#2417C2211yescharacteristic, complemented
97#2416—21no—
98#2416—21no—
99#2416C2211yescharacteristic
100#2416C2211yescharacteristic
101#2416C2211yescharacteristic, complemented
102#2416C2211yescharacteristic, complemented
103#2414C2211yescharacteristic
104#2414C2211yescharacteristic
105#2414C2211yescharacteristic
106#2414C2211yescharacteristic
107#2408C2211yescharacteristic
108#2408C2211yescharacteristic
109#2316C2211yescharacteristic, complemented
110#2311C2211yescharacteristic, complemented
111#2311C2211yescharacteristic, complemented
112#2280C2211yescharacteristic
113#2088C2211yescharacteristic, complemented
114#2088C2211yescharacteristic, complemented
115#2087C2211yescharacteristic, complemented
116#2086C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2068C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2067C2211yescharacteristic, complemented
125#2066C2211yescharacteristic, complemented
126#2065C2211yescharacteristic, complemented
127#2065C2211yescharacteristic, complemented
128#2065C2211yescharacteristic, complemented
129#2055C2211yescharacteristic, complemented
130#2055C2211yescharacteristic, complemented
131#2054C2211yescharacteristic, complemented
132#2054C2211yescharacteristic, complemented
133#2036C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1973C2211yescharacteristic, complemented
146#1972C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1968C2211yescharacteristic, complemented
149#1944C2211yescharacteristic, complemented
150#1943C2211yescharacteristic, complemented
151#1942C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1936C2211yescharacteristic, complemented
156#1935C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1893C2211yescharacteristic, complemented
170#1892C2211yescharacteristic
171#1892C2211yescharacteristic
172#1892C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic
181#1874C2211yescharacteristic
182#1874C2211yescharacteristic
183#1873C2211yescharacteristic, complemented
184#1873C2211yescharacteristic, complemented
185#1853C2211yescharacteristic
186#1853C2211yescharacteristic
187#1853C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1852C2211yescharacteristic
190#1852C2211yescharacteristic
191#1852C2211yescharacteristic, complemented
192#1852C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1809C2211yescharacteristic, complemented
197#1808C2211yescharacteristic, complemented
198#1807C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C2×#340C2211yescharacteristic
204C2×#340C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C24×C4—21no—
210C24×C4C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#537—42no—
224#537—42no—
225#525—24no—
226#525—24no—
227#525—24no—
228#525—24no—
229C2×#123—21no—
230C2×#123—21no—
231C2×#123—21no—
232C2×#123D411yescharacteristic
233C2×#123D411yescharacteristic
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8D411yescharacteristic
236C2×C22⋊Q8D411yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—24no—
251C2×#121—24no—
252C2×#121D411yescharacteristic
253C2×#121D411yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120D411yescharacteristic
270C2×#120D411yescharacteristic
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C2×#117C2311yescharacteristic
281C22×C4⋊C4—21no—
282C22×C4⋊C4—21no—
283C22×C4⋊C4—21no—
284C22×C4⋊C4—42no—
285C22×C4⋊C4—42no—
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C22⋊C4—21no—
294#483—24no—
295#482—24no—
296#482—24no—
297#480—24no—
298#469—24no—
299#469—24no—
300#469—42no—
301#468—24no—
302#468—24no—
303#468—42no—
304#466—42no—
305#465—42no—
306#450—24no—
307#449—24no—
308#449—24no—
309#447—24no—
310#436—24no—
311#436—24no—
312#435—24no—
313#435—24no—
314#435—24no—
315#435—24no—
316C8×D4—24no—
317C8×D4—24no—
318#433—24no—
319#433—24no—
320#428—42no—
321#428—42no—
322C2×#107C2311yescharacteristic
323C2×#107C2311yescharacteristic
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#107C2311yescharacteristic
328C2×#106C2311yescharacteristic
329C2×#106C2311yescharacteristic
330C2×#106C2311yescharacteristic
331C2×#106C2311yescharacteristic
332C2×#106C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×C4⋊C8C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#102—42no—
345C2×#102—42no—
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364#408—24no—
365#408—24no—
366#407D418yescomplemented
367C2×C22⋊C8—24no—
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
371C2×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×#97C2311yescharacteristic
381C2×#97C2311yescharacteristic
382C2×C4×C8C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384#399—21no—
385#399—21no—
386#398—21no—
387#398—21no—
388#398—21no—
389#398—21no—
390#398—21no—
391#398—21no—
392#397—21no—
393#397—21no—
394#397—21no—
395#397—21no—
396#396—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#393—21no—
419#393—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#391—21no—
433#391C2311yescharacteristic
434#391C2311yescharacteristic
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#389—21no—
447#389—21no—
448#389C2311yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#381—21no—
473#381—21no—
474#381—21no—
475#380—21no—
476#380—21no—
477#380—21no—
478#380—21no—
479#380—21no—
480#380—21no—
481#380—21no—
482#380—21no—
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#379—21no—
496#379—21no—
497#379—21no—
498C4×C22⋊C4—21no—
499C4×C22⋊C4—21no—
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524C25—21no—
525C25C2×D411yescharacteristic
526C2×#41—22no—
527C2×#41—22no—
528C2×#41—22no—
529C2×#41—22no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—41no—
537C2×#41—41no—
538C22×Q8C2×D411yescharacteristic
539C22×Q8C2411yescharacteristic
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—22no—
554C22×D4—21no—
555C22×D4—22no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—44no—
561C22×D4—82no—
562C22×D4—82no—
563C22×D4C2×D411yescharacteristic
564C22×D4C2×D411yescharacteristic
565C22×D4C2×D411yescharacteristic
566C22×D4C2×D411yescharacteristic
567C22×D4C2×D411yescharacteristic
568C22×D4C2×D411yescharacteristic
569C22×D4C2×D411yescharacteristic
570C22×D4C2411yescharacteristic
571C22×D4C2411yescharacteristic
572C22×D4C2411yescharacteristic
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—41no—
582C23×C4—41no—
583C23×C4—41no—
584C23×C4—41no—
585C23×C4—44no—
586C23×C4—82no—
587C23×C4—82no—
588C23×C4C2×D411yescharacteristic
589C23×C4C2×D411yescharacteristic
590C23×C4C2×D411yescharacteristic
591C23×C4C2×D414yes—
592C23×C4#4114yes—
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×D8—22no—
605C2×D8—22no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×M16—22no—
611C2×M16—22no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16—41no—
619C2×M16—41no—
620C2×M16C2×D414yes—
621C2×M16C2×D414yes—
622C22×C8—22no—
623C22×C8—22no—
624C22×C8—22no—
625C22×C8—22no—
626C22×C8—41no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8—41no—
630C22×C8—41no—
631C22×C8—41no—
632C22×C8—41no—
633C22×C8—41no—
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642#123—24no—
643#123—24no—
644#123—44no—
645#123—82no—
646#123—82no—
647C22⋊Q8—24no—
648C22⋊Q8—24no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—22no—
653C22⋊Q8—22no—
654C22⋊Q8—22no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—44no—
658#121—24no—
659#121—24no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—41no—
675#121—41no—
676#121—44no—
677#121—44no—
678#121—44no—
679#121—44no—
680#121—44no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—82no—
690#121—82no—
691#121—82no—
692#121—82no—
693#120—24no—
694#120—24no—
695#120—44no—
696#120—82no—
697#120—82no—
698C4×D4—22no—
699C4×D4—22no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—22no—
705C4×D4—22no—
706C4×D4—44no—
707C4×D4—44no—
708#117—22no—
709#117—22no—
710#117—22no—
711#117—22no—
712#117—41no—
713#117—41no—
714#117—41no—
715#117—41no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—22no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—22no—
720C2×C4⋊C4—22no—
721C2×C4⋊C4—22no—
722C2×C4⋊C4—22no—
723C2×C4⋊C4—22no—
724C2×C4⋊C4—22no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4—21no—
736C2×C4⋊C4—21no—
737C2×C4⋊C4—21no—
738C2×C4⋊C4—21no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—41no—
744C2×C4⋊C4—41no—
745C2×C4⋊C4—41no—
746C2×C4⋊C4—41no—
747C2×C4⋊C4—41no—
748C2×C4⋊C4—41no—
749C2×C4⋊C4—44no—
750C2×C4⋊C4—44no—
751C2×C4⋊C4—44no—
752C2×C4⋊C4C2×D411yescharacteristic
753C2×C4⋊C4C2×D411yescharacteristic
754C2×C4⋊C4C2×D411yescharacteristic
755C2×C4⋊C4C2×D411yescharacteristic
756C2×C4⋊C4C2×D411yescharacteristic
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2411yescharacteristic
759C2×C4⋊C4C2411yescharacteristic
760C2×C4⋊C4C2411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—44no—
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C22⋊C4C2×D411yescharacteristic
816C2×C22⋊C4C2×D411yescharacteristic
817C2×C22⋊C4C2×D411yescharacteristic
818C2×C22⋊C4C2×D411yescharacteristic
819C2×C22⋊C4C2×D411yescharacteristic
820C2×C22⋊C4C2×D411yescharacteristic
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C42—21no—
825C2×C42—21no—
826C2×C42—21no—
827C2×C42C2411yescharacteristic
828C2×C42C2411yescharacteristic
829#107—22no—
830#107—22no—
831#107—22no—
832#107—22no—
833#107—41no—
834#107—41no—
835#106—22no—
836#106—22no—
837#106—22no—
838#106—22no—
839#106—41no—
840#106—41no—
841C4⋊C8—22no—
842C4⋊C8—22no—
843C4⋊C8—22no—
844C4⋊C8—22no—
845#103—22no—
846#103—22no—
847#103—41no—
848#103—41no—
849#103—41no—
850#103—41no—
851#102—22no—
852#102—22no—
853#102—22no—
854#102—22no—
855#102—22no—
856#102—22no—
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866#102—41no—
867#102—41no—
868#102—41no—
869C22⋊C8—22no—
870C22⋊C8—22no—
871C22⋊C8—22no—
872C22⋊C8—22no—
873C22⋊C8—22no—
874C22⋊C8—22no—
875C22⋊C8—22no—
876C22⋊C8—22no—
877C22⋊C8C2×D414yes—
878C22⋊C8C2×D414yes—
879C22⋊C8C2×D414yes—
880C22⋊C8C2×D414yes—
881#97—22no—
882#97—22no—
883C4×C8—22no—
884C4×C8—22no—
885#95—21no—
886#95—21no—
887#95—21no—
888#95—21no—
889#95—21no—
890#95—21no—
891#95—21no—
892#95—21no—
893#95—21no—
894#95—21no—
895#95—21no—
896#95—21no—
897#95—21no—
898#95—21no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909C24—22no—
910C24—22no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—41no—
915C24—41no—
916C24—41no—
917C24—41no—
918C24—42no—
919C24—42no—
920C24—42no—
921C24—81no—
922C24—81no—
923C24—81no—
924C24—81no—
925C24#12114yes—
926C24C22×D411yescharacteristic
927C24C22×D411yescharacteristic
928C24C22×D411yescharacteristic
929C24C22×D411yescharacteristic
930C24C22×D411yescharacteristic
931#41—82no—
932#41—82no—
933#41—82no—
934#41—82no—
935#41—82no—
936#41—82no—
937#41—82no—
938#41—82no—
939C2×Q8—22no—
940C2×Q8—21no—
941C2×Q8—21no—
942C2×Q8—21no—
943C2×Q8—21no—
944C2×Q8—21no—
945C2×Q8—21no—
946C2×Q8—41no—
947C2×Q8—41no—
948C2×D4—22no—
949C2×D4—22no—
950C2×D4—22no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—22no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—41no—
980C2×D4—41no—
981C2×D4—41no—
982C2×D4—41no—
983C2×D4—41no—
984C2×D4—41no—
985C2×D4—41no—
986C2×D4—41no—
987C2×D4—41no—
988C2×D4—41no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—82no—
1006C2×D4—82no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—816no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—24no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—81no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4—81no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—816no—
1106C22×C4#12114yes—
1107C22×C4#12114yes—
1108C22×C4#12114yes—
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D412yes—
1119C22×C4C22×D412yes—
1120C22×C4C22×D412yes—
1121C22×C4C2×#4112yes—
1122C22×C4C2×#4112yes—
1123C22×C4C2×#4112yes—
1124C22×C4C2511yescharacteristic
1125SD16—82no—
1126SD16—82no—
1127D8—82no—
1128D8—82no—
1129M16—44no—
1130M16—44no—
1131M16—82no—
1132M16—82no—
1133C2×C8—21no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—82no—
1154C2×C8—82no—
1155C2×C8—82no—
1156C2×C8—82no—
1157C2×C8C22×D412yes—
1158C2×C8C22×D412yes—
1159C2×C8C22×D412yes—
1160C2×C8C22×D412yes—
1161C4⋊C4—24no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—21no—
1178C4⋊C4—21no—
1179C4⋊C4—21no—
1180C4⋊C4—21no—
1181C4⋊C4—21no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—42no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—81no—
1201C4⋊C4—81no—
1202C4⋊C4—81no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4—81no—
1207C4⋊C4—81no—
1208C4⋊C4H(5,𝔽2)12yes—
1209C4⋊C4H(5,𝔽2)12yes—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
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—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C22⋊C4—81no—
1248C22⋊C4—81no—
1249C22⋊C4—81no—
1250C22⋊C4—81no—
1251C22⋊C4—81no—
1252C22⋊C4—81no—
1253C22⋊C4—81no—
1254C22⋊C4—81no—
1255C22⋊C4—81no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C42—21no—
1264C42—21no—
1265C42—21no—
1266C42—21no—
1267C42—42no—
1268C42—81no—
1269C42—81no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—28no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—44no—
1302C23—44no—
1303C23—44no—
1304C23—44no—
1305C23—44no—
1306C23—44no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—84no—
1329C23—84no—
1330C23—84no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23C2×#12112yes—
1336C23C2×#12112yes—
1337C23C2×#12112yes—
1338C23#57612yes—
1339C23#57712yes—
1340C23C23×D411yescharacteristic
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—82no—
1346D4—44no—
1347D4—44no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—82no—
1361D4—84no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366D4—84no—
1367D4—84no—
1368D4—84no—
1369D4—84no—
1370D4—84no—
1371D4—84no—
1372D4—84no—
1373D4—162no—
1374D4—162no—
1375D4—162no—
1376D4—162no—
1377D4—162no—
1378D4—162no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—84no—
1466C2×C4—84no—
1467C2×C4—84no—
1468C2×C4—84no—
1469C2×C4—84no—
1470C2×C4—84no—
1471C2×C4—84no—
1472C2×C4—84no—
1473C2×C4C2×#12112yes—
1474C2×C4C2×#12112yes—
1475C2×C4C2×#12112yes—
1476C2×C4C23×D411yescharacteristic
1477C2×C4C22×#4111yescharacteristic
1478C2×C4C2×H(5,𝔽2)11yescharacteristic
1479C2×C4C2×H(5,𝔽2)11yescharacteristic
1480C2×C4#58511yescharacteristic
1481C2×C4#58511yescharacteristic
1482C8—22no—
1483C8—22no—
1484C8—22no—
1485C8—22no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—416no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—168no—
1547C22#306214yes—
1548C22C22×#12111yescharacteristic
1549C22#348411yescharacteristic
1550C22#348511yescharacteristic
1551C22C2×#57611yescharacteristic
1552C22C2×#57711yescharacteristic
1553C22#358511yescharacteristic
1554C22#358611yescharacteristic
1555C4—22no—
1556C4—22no—
1557C4—22no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—81no—
1567C4—81no—
1568C4—81no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4#349611yescharacteristic
1578C4#349611yescharacteristic
1579C4#350511yescharacteristic
1580C4#350511yescharacteristic
1581C2—24no—
1582C2—42no—
1583C2—42no—
1584C2—81no—
1585C2—81no—
1586C2—161no—
1587C2—161no—
1588C2—161no—
1589C2#3535811yescharacteristic
1590C2C2×#306211yescharacteristic
1591C2#6045611yescharacteristic
1592C2#6160911yescharacteristic
1593C2#6161111yescharacteristic
1594C2#6174411yescharacteristic
1595C2#6174611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3194C2semidirect
2. C2×#2976C2semidirect
3. #37437C2semidirect
4. #35223C2semidirect
5. #28570C2semidirect
6. #28567C2semidirect
7. #28560C2semidirect
8. #28557C2semidirect
9. #25254C2semidirect
10. #25250C2semidirect
11. #25236C2semidirect
12. #25232C2semidirect
13. #25128C2semidirect
14. #25124C2semidirect
15. #25112C2semidirect
16. #25108C2semidirect
17. #24795C2semidirect
18. #24792C2semidirect
19. #24790C2semidirect
20. #24788C2semidirect
21. #24617C2semidirect
22. #24615C2semidirect
23. #24567C2semidirect
24. #24565C2semidirect
25. #24519C2semidirect
26. #24513C2semidirect
27. #24397C2semidirect
28. #24391C2semidirect
29. #21760C2semidirect
30. C2×#1874C2semidirect
31. #20844C2semidirect
32. C2×#537C22semidirect
44. C2×#469C22semidirect
47. C2×#468C22semidirect
48. C2×#466C22semidirect
49. C2×#465C22semidirect
55. C2×#436C22semidirect
56. C2×#436C22semidirect
59. C2×#435C22semidirect
60. C2×#435C22semidirect
63. C2×#433C22semidirect
64. C2×#433C22semidirect
65. C2×#428C22semidirect
66. C2×#428C22semidirect
69. C2×#408C22semidirect
70. C2×#408C22semidirect
95. #2417C22semidirect
96. #2417C22semidirect
101. #2416C22semidirect
102. #2416C22semidirect
109. #2316C22semidirect
110. #2311C22semidirect
111. #2311C22semidirect
113. #2088C22semidirect
114. #2088C22semidirect
115. #2087C22semidirect
116. #2086C22semidirect
117. #2077C22semidirect
118. #2077C22semidirect
119. #2076C22semidirect
120. #2075C22semidirect
121. #2068C22semidirect
122. #2067C22semidirect
123. #2067C22semidirect
124. #2067C22semidirect
125. #2066C22semidirect
126. #2065C22semidirect
127. #2065C22semidirect
128. #2065C22semidirect
129. #2055C22semidirect
130. #2055C22semidirect
131. #2054C22semidirect
132. #2054C22semidirect
133. #2036C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1973C22semidirect
146. #1972C22semidirect
147. #1970C22semidirect
148. #1968C22semidirect
149. #1944C22semidirect
150. #1943C22semidirect
151. #1942C22semidirect
152. #1941C22semidirect
153. #1936C22semidirect
154. #1936C22semidirect
155. #1936C22semidirect
156. #1935C22semidirect
157. #1934C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1933C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1894C22semidirect
167. #1893C22semidirect
168. #1893C22semidirect
169. #1893C22semidirect
172. #1892C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
183. #1873C22semidirect
184. #1873C22semidirect
187. #1853C22semidirect
188. #1853C22semidirect
191. #1852C22semidirect
192. #1852C22semidirect
193. #1825C22semidirect
194. #1825C22semidirect
195. #1809C22semidirect
196. #1809C22semidirect
197. #1808C22semidirect
198. #1807C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1736C22semidirect
202. #1736C22semidirect
366. #407D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31942
C2×#29762
#374372
#352232
#285702
#285672
#285602
#285572
#252542
#252502
#252362
#252322
#251282
#251242
#251122
#251082
#247952
#247922
#247902
#247882
#246172
#246152
#245672
#245652
#245192
#245132
#243972
#243912
#217602
C2×#18742
#208442