Finite Group Databasebeta

← #7004255

Subgroups — #7004255

Order 512.

2259 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58997C211yesmaximal, characteristic, complemented
2#39733C211yesmaximal, characteristic, complemented
3#32035C211yesmaximal, characteristic, complemented
4#31728C211yesmaximal, characteristic, complemented
5#31499C211yesmaximal, characteristic, complemented
6#31342C211yesmaximal, characteristic, complemented
7#31314C211yesmaximal, characteristic, complemented
8#31000C211yesmaximal, characteristic, complemented
9#30919C211yesmaximal, characteristic, complemented
10#30400C211yesmaximal, characteristic, complemented
11#29047C211yesmaximal, characteristic, complemented
12#28930C211yesmaximal, characteristic, complemented
13#28100C211yesmaximal, characteristic, complemented
14#27264C211yesmaximal, characteristic, complemented
15#27046C211yesmaximal, characteristic, complemented
16#26672C211yesmaximal, characteristic, complemented
17#26348C211yesmaximal, characteristic, complemented
18#26208C211yesmaximal, characteristic, complemented
19#25891C211yesmaximal, characteristic, complemented
20#25396C211yesmaximal, characteristic, complemented
21#25076C211yesmaximal, characteristic, complemented
22#24782C211yesmaximal, characteristic, complemented
23#24440C211yesmaximal, characteristic, complemented
24#24424C211yesmaximal, characteristic, complemented
25#24378C211yesmaximal, characteristic, complemented
26#24378C211yesmaximal, characteristic, complemented
27C2×#2034C211yesmaximal, characteristic, complemented
28#23132C211yesmaximal, characteristic, complemented
29#22844C211yesmaximal, characteristic, complemented
30#22423C211yesmaximal, characteristic, complemented
31#21758C211yesmaximal, characteristic, complemented
32C2×D42—21no—
33C2×D42C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C2×#490C2211yescharacteristic, complemented
38C2×#478C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic
41C2×#466C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic, complemented
43C2×#466C2211yescharacteristic, complemented
44C2×#459C2211yescharacteristic, complemented
45C2×#447C2211yescharacteristic, complemented
46C2×#447C2211yescharacteristic, complemented
47C2×#447C2211yescharacteristic, complemented
48C2×#435C2211yescharacteristic, complemented
49C2×#435C2211yescharacteristic, complemented
50C22×#106C2211yescharacteristic, complemented
51C2×#418C2211yescharacteristic, complemented
52C22×#102C2211yescharacteristic, complemented
53C22×#102C2211yescharacteristic, complemented
54C22×C22⋊C8C2211yescharacteristic, complemented
55C22×C22⋊C8C2211yescharacteristic, complemented
56#2847C2211yescharacteristic, complemented
57#2786—21no—
58#2778—21no—
59#2756—21no—
60#2750—21no—
61#2675—21no—
62#2669—21no—
63#2617—21no—
64#2562C2211yescharacteristic, complemented
65#2541C2211yescharacteristic
66#2535C2211yescharacteristic, complemented
67#2510—21no—
68#2495C2211yescharacteristic, complemented
69#2494C2211yescharacteristic, complemented
70#2490C2211yescharacteristic, complemented
71#2485C2211yescharacteristic, complemented
72#2444—21no—
73#2442C2211yescharacteristic, complemented
74#2433C2211yescharacteristic
75#2433C2211yescharacteristic
76#2428C2211yescharacteristic
77#2428C2211yescharacteristic
78#2424—21no—
79#2424—21no—
80#2420C2211yescharacteristic, complemented
81#2416C2211yescharacteristic
82#2416C2211yescharacteristic
83#2416C2211yescharacteristic, complemented
84#2414C2211yescharacteristic, complemented
85#2410—21no—
86#2410—21no—
87#2408C2211yescharacteristic
88#2403—21no—
89#2361C2211yescharacteristic
90#2361C2211yescharacteristic
91#2361C2211yescharacteristic, complemented
92#2352C2211yescharacteristic, complemented
93#2321—21no—
94C4×#120C2211yescharacteristic
95C2×#380C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2092C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2076C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2065C2211yescharacteristic, complemented
106#2059C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2041C2211yescharacteristic, complemented
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2025C2211yescharacteristic, complemented
129#2011C2211yescharacteristic, complemented
130#2011C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic, complemented
133#1999C2211yescharacteristic, complemented
134#1999C2211yescharacteristic, complemented
135#1999C2211yescharacteristic, complemented
136#1982C2211yescharacteristic, complemented
137#1982C2211yescharacteristic, complemented
138#1972C2211yescharacteristic, complemented
139#1961C2211yescharacteristic, complemented
140#1961C2211yescharacteristic, complemented
141#1955C2211yescharacteristic, complemented
142#1949C2211yescharacteristic, complemented
143#1944C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1936C2211yescharacteristic, complemented
148#1925C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1921C2211yescharacteristic, complemented
153#1921C2211yescharacteristic, complemented
154#1921C2211yescharacteristic, complemented
155#1919C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1893C2211yescharacteristic
158#1893C2211yescharacteristic, complemented
159#1893C2211yescharacteristic, complemented
160#1893C2211yescharacteristic, complemented
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1893C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1875C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic
173#1874C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1869C2211yescharacteristic, complemented
179#1869C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1862C2211yescharacteristic, complemented
182#1852C2211yescharacteristic, complemented
183#1852C2211yescharacteristic, complemented
184#1850C2211yescharacteristic, complemented
185#1850C2211yescharacteristic, complemented
186#1825C2211yescharacteristic, complemented
187#1823C2211yescharacteristic, complemented
188#1823C2211yescharacteristic, complemented
189#1809C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1786C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1762C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1752C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220D42—24no—
221D42—42no—
222D42—42no—
223D42—48no—
224D42—42no—
225C2×#127—21no—
226C2×#127C2311yescharacteristic
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#125C2311yescharacteristic
230C2×#121—21no—
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—24no—
242C2×#121—42no—
243C2×#121—42no—
244C2×#121—42no—
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120D411yescharacteristic
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C22⋊C4—21no—
285C22×C22⋊C4—21no—
286C22×C22⋊C4—21no—
287#490—42no—
288#478—42no—
289#469—42no—
290#466—24no—
291#466—42no—
292#466—42no—
293#466—42no—
294#459—42no—
295#447—42no—
296#447—42no—
297#447—42no—
298#435—42no—
299#435—42no—
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#106—42no—
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312#418—42no—
313C2×#102—42no—
314C2×#102—42no—
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×C22⋊C8—42no—
348C2×C22⋊C8—42no—
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×#97C2311yescharacteristic
362C2×#97C2311yescharacteristic
363#401—21no—
364#400—21no—
365#400—21no—
366#400—21no—
367#398—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#396—21no—
375#396—21no—
376#396—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#387—21no—
426#387—21no—
427#387—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386D411yescharacteristic
444#386D411yescharacteristic
445#386D411yescharacteristic
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385D411yescharacteristic
451#385D411yescharacteristic
452#385D411yescharacteristic
453#383—21no—
454#382C2311yescharacteristic
455#382C2311yescharacteristic
456#381—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#379—21no—
471#379D411yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479C2×#95—21no—
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506C25—21no—
507C25—21no—
508C25—21no—
509C25C2×D411yescharacteristic
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—44no—
552C22×D4—44no—
553C22×D4—44no—
554C22×D4—44no—
555C22×D4—44no—
556C22×D4—44no—
557C22×D4—44no—
558C22×D4—44no—
559C22×D4—82no—
560C22×D4—82no—
561C22×D4—82no—
562C22×D4—82no—
563C22×D4C2×D411yescharacteristic
564C22×D4C2×D411yescharacteristic
565C22×D4C2×D411yescharacteristic
566C22×D4C2411yescharacteristic
567C22×D4C2411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
570C22×D4C2411yescharacteristic
571C23×C4—22no—
572C23×C4—22no—
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4—41no—
583C23×C4—41no—
584C23×C4C2×D411yescharacteristic
585C23×C4C2×D411yescharacteristic
586C23×C4C2×D411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—22no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×M16—22no—
604C2×M16—41no—
605C2×M16—41no—
606C22×C8—22no—
607C22×C8—22no—
608C22×C8—22no—
609C22×C8—41no—
610C22×C8—41no—
611C22×C8—41no—
612C22×C8—41no—
613C22×C8—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8—41no—
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626#127—22no—
627#127—22no—
628#127—41no—
629#127—41no—
630#127—41no—
631#127—41no—
632#127—44no—
633#125—41no—
634#125—41no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—22no—
642#121—22no—
643#121—22no—
644#121—22no—
645#121—22no—
646#121—22no—
647#121—22no—
648#121—44no—
649#121—44no—
650#121—44no—
651#121—44no—
652#121—44no—
653#121—44no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—44no—
663#121—44no—
664#121—44no—
665#121—44no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—82no—
673#121#4114yes—
674#120—24no—
675#120—44no—
676#120—44no—
677#120—44no—
678#120—44no—
679#120—44no—
680#120—44no—
681#120—44no—
682#120—44no—
683#120—82no—
684#120—82no—
685C4×D4—22no—
686C4×D4—22no—
687C4×D4—22no—
688C4×D4—22no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—41no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—44no—
698C4×D4—44no—
699C4×D4—82no—
700#117—41no—
701#117—41no—
702C2×C4⋊C4—22no—
703C2×C4⋊C4—22no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4—41no—
721C2×C4⋊C4—41no—
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
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—44no—
777C2×C22⋊C4—44no—
778C2×C22⋊C4—82no—
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—21no—
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798#107—22no—
799#107—22no—
800#107—41no—
801#107—41no—
802#106—22no—
803#106—22no—
804#106—41no—
805#106—41no—
806C4⋊C8—22no—
807C4⋊C8—41no—
808C4⋊C8—41no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841C22⋊C8—22no—
842C22⋊C8—22no—
843C22⋊C8—22no—
844C22⋊C8—22no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852#97—41no—
853#97—41no—
854#97—41no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95C2×D411yescharacteristic
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884C24—22no—
885C24—22no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—41no—
892C24—41no—
893C24—41no—
894C24—41no—
895C24—42no—
896C24—42no—
897C24—42no—
898C24—42no—
899C24—42no—
900C24—42no—
901C24—42no—
902C24—42no—
903C24—42no—
904C24—42no—
905C24—42no—
906C24—81no—
907C24—81no—
908C24—81no—
909C24—81no—
910C24—81no—
911C24—81no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24AGL(1,ℤ/8)14yes—
917C24C22×D411yescharacteristic
918C24C22×D411yescharacteristic
919C24C22×D411yescharacteristic
920C24C22×D411yescharacteristic
921C2×D4—24no—
922C2×D4—22no—
923C2×D4—24no—
924C2×D4—22no—
925C2×D4—22no—
926C2×D4—22no—
927C2×D4—22no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—44no—
957C2×D4—44no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—44no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—42no—
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—82no—
1004C2×D4—82no—
1005C2×D4—81no—
1006C2×D4—81no—
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—82no—
1020C2×D4—82no—
1021C2×D4—82no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—82no—
1025C2×D4—82no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—816no—
1040C2×D4—816no—
1041C2×D4—816no—
1042C2×D4—816no—
1043C2×D4C2×#4112yes—
1044C2×D4H(5,𝔽2)12yes—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—22no—
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—22no—
1071C22×C4—22no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
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—82no—
1098C22×C4—82no—
1099C22×C4—82no—
1100C22×C4—82no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4—81no—
1110C22×C4—81no—
1111C22×C4—81no—
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C22×D411yescharacteristic
1121C22×C4C22×D411yescharacteristic
1122C22×C4C2×#4112yes—
1123C22×C4H(5,𝔽2)12yes—
1124C22×C4C2511yescharacteristic
1125D8—82no—
1126D8—82no—
1127D8—82no—
1128D8—82no—
1129M16—82no—
1130C2×C8—21no—
1131C2×C8—21no—
1132C2×C8—21no—
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—44no—
1154C2×C8—82no—
1155C2×C8—82no—
1156C2×C8—82no—
1157C2×C8H(5,𝔽2)12yes—
1158C4⋊C4—22no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
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—41no—
1180C4⋊C4—41no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4—81no—
1190C4⋊C4—81no—
1191C4⋊C4—81no—
1192C4⋊C4—81no—
1193C4⋊C4C2×#4112yes—
1194C4⋊C4H(5,𝔽2)12yes—
1195C22⋊C4—24no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—24no—
1202C22⋊C4—22no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
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—81no—
1229C22⋊C4—81no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
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—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—42no—
1254C42—81no—
1255C42—81no—
1256C42—81no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—28no—
1274C23—21no—
1275C23—21no—
1276C23—22no—
1277C23—21no—
1278C23—22no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—44no—
1284C23—44no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—84no—
1323C23—84no—
1324C23—84no—
1325C23—84no—
1326C23—84no—
1327C23—84no—
1328C23—84no—
1329C23—84no—
1330C23—84no—
1331C23—84no—
1332C23—84no—
1333C23—162no—
1334C23—162no—
1335C23—162no—
1336C23—162no—
1337C23—162no—
1338C23—162no—
1339C23—162no—
1340C23—162no—
1341C23—162no—
1342C23—162no—
1343C23#54612yes—
1344C23C2×AGL(1,ℤ/8)12yes—
1345C23C2×AGL(1,ℤ/8)12yes—
1346C23C2×AGL(1,ℤ/8)12yes—
1347C23#57612yes—
1348C23C23×D411yescharacteristic
1349D4—22no—
1350D4—22no—
1351D4—22no—
1352D4—22no—
1353D4—44no—
1354D4—48no—
1355D4—44no—
1356D4—48no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—84no—
1374D4—82no—
1375D4—84no—
1376D4—84no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—84no—
1381D4—84no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—84no—
1386D4—84no—
1387D4—84no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394D4—162no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
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—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
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—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—84no—
1477C2×C4—84no—
1478C2×C4—84no—
1479C2×C4—84no—
1480C2×C4—162no—
1481C2×C4—162no—
1482C2×C4—162no—
1483C2×C4#54612yes—
1484C2×C4C22×#4111yescharacteristic
1485C2×C4C2×H(5,𝔽2)11yescharacteristic
1486C2×C4C2×H(5,𝔽2)11yescharacteristic
1487C2×C4C2×H(5,𝔽2)11yescharacteristic
1488C2×C4C2×H(5,𝔽2)11yescharacteristic
1489C2×C4#58511yescharacteristic
1490C8—22no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C8—41no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—42no—
1527C22—41no—
1528C22—42no—
1529C22—41no—
1530C22—42no—
1531C22—88no—
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—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—168no—
1562C22—168no—
1563C22—168no—
1564C22#331814yes—
1565C22C2×#54611yescharacteristic
1566C22#348411yescharacteristic
1567C22#349611yescharacteristic
1568C22C22×AGL(1,ℤ/8)11yescharacteristic
1569C22C2×#57611yescharacteristic
1570C22#358411yescharacteristic
1571C22#358511yescharacteristic
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—42no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—81no—
1585C4—81no—
1586C4—81no—
1587C4—81no—
1588C4—81no—
1589C4—81no—
1590C4—81no—
1591C4—81no—
1592C4—81no—
1593C4#351411yescharacteristic
1594C4#351911yescharacteristic
1595C4#353411yescharacteristic
1596C4#353711yescharacteristic
1597C2—24no—
1598C2—42no—
1599C2—42no—
1600C2—81no—
1601C2—82no—
1602C2—82no—
1603C2—161no—
1604C2—161no—
1605C2—161no—
1606C2#4301911yescharacteristic
1607C2C2×#331811yescharacteristic
1608C2#6119511yescharacteristic
1609C2#6157111yescharacteristic
1610C2#6163911yescharacteristic
1611C2#6225311yescharacteristic
1612C2#6231511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58997C2semidirect
2. #39733C2semidirect
3. #32035C2semidirect
4. #31728C2semidirect
5. #31499C2semidirect
6. #31342C2semidirect
7. #31314C2semidirect
8. #31000C2semidirect
9. #30919C2semidirect
10. #30400C2semidirect
11. #29047C2semidirect
12. #28930C2semidirect
13. #28100C2semidirect
14. #27264C2semidirect
15. #27046C2semidirect
16. #26672C2semidirect
17. #26348C2semidirect
18. #26208C2semidirect
19. #25891C2semidirect
20. #25396C2semidirect
21. #25076C2semidirect
22. #24782C2semidirect
23. #24440C2semidirect
24. #24424C2semidirect
25. #24378C2semidirect
26. #24378C2semidirect
27. C2×#2034C2semidirect
28. #23132C2semidirect
29. #22844C2semidirect
30. #22423C2semidirect
31. #21758C2semidirect
37. C2×#490C22semidirect
38. C2×#478C22semidirect
39. C2×#469C22semidirect
41. C2×#466C22semidirect
42. C2×#466C22semidirect
43. C2×#466C22semidirect
44. C2×#459C22semidirect
45. C2×#447C22semidirect
46. C2×#447C22semidirect
47. C2×#447C22semidirect
48. C2×#435C22semidirect
49. C2×#435C22semidirect
50. C22×#106C22semidirect
51. C2×#418C22semidirect
52. C22×#102C22semidirect
53. C22×#102C22semidirect
54. C22×C22⋊C8C22semidirect
55. C22×C22⋊C8C22semidirect
56. #2847C22semidirect
64. #2562C22semidirect
66. #2535C22semidirect
68. #2495C22semidirect
69. #2494C22semidirect
70. #2490C22semidirect
71. #2485C22semidirect
73. #2442C22semidirect
80. #2420C22semidirect
83. #2416C22semidirect
84. #2414C22semidirect
91. #2361C22semidirect
92. #2352C22semidirect
95. C2×#380C22semidirect
96. #2101C22semidirect
97. #2092C22semidirect
98. #2088C22semidirect
99. #2076C22semidirect
100. #2073C22semidirect
101. #2073C22semidirect
102. #2067C22semidirect
103. #2065C22semidirect
104. #2065C22semidirect
105. #2065C22semidirect
106. #2059C22semidirect
107. #2054C22semidirect
108. #2041C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
111. #2041C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
123. #2033C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2033C22semidirect
128. #2025C22semidirect
129. #2011C22semidirect
130. #2011C22semidirect
132. #1999C22semidirect
133. #1999C22semidirect
134. #1999C22semidirect
135. #1999C22semidirect
136. #1982C22semidirect
137. #1982C22semidirect
138. #1972C22semidirect
139. #1961C22semidirect
140. #1961C22semidirect
141. #1955C22semidirect
142. #1949C22semidirect
143. #1944C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1936C22semidirect
148. #1925C22semidirect
149. #1925C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1921C22semidirect
153. #1921C22semidirect
154. #1921C22semidirect
155. #1919C22semidirect
156. #1895C22semidirect
158. #1893C22semidirect
159. #1893C22semidirect
160. #1893C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1893C22semidirect
164. #1893C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1875C22semidirect
170. #1875C22semidirect
173. #1874C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1870C22semidirect
178. #1869C22semidirect
179. #1869C22semidirect
180. #1864C22semidirect
181. #1862C22semidirect
182. #1852C22semidirect
183. #1852C22semidirect
184. #1850C22semidirect
185. #1850C22semidirect
186. #1825C22semidirect
187. #1823C22semidirect
188. #1823C22semidirect
189. #1809C22semidirect
190. #1804C22semidirect
191. #1786C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1762C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
200. #1752C22semidirect
201. #1752C22semidirect
202. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
#589972
#397332
#320352
#317282
#314992
#313422
#313142
#310002
#309192
#304002
#290472
#289302
#281002
#272642
#270462
#266722
#263482
#262082
#258912
#253962
#250762
#247822
#244402
#244242
#243782
C2×#20342
#231322
#228442
#224232
#217582