Finite Group Databasebeta

← #7301205

Subgroups — #7301205

Order 512.

2154 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59013C211yesmaximal, characteristic, complemented
2#39338C211yesmaximal, characteristic, complemented
3#32072C211yesmaximal, characteristic, complemented
4#32020C211yesmaximal, characteristic, complemented
5#31958C211yesmaximal, characteristic, complemented
6#31949C211yesmaximal, characteristic, complemented
7#31851C211yesmaximal, characteristic, complemented
8#31791C211yesmaximal, characteristic, complemented
9#31370C211yesmaximal, characteristic, complemented
10#31140C211yesmaximal, characteristic, complemented
11#31064C211yesmaximal, characteristic, complemented
12#31032C211yesmaximal, characteristic, complemented
13#30575C211yesmaximal, characteristic, complemented
14#30412C211yesmaximal, characteristic, complemented
15#29892C211yesmaximal, characteristic, complemented
16#29592C211yesmaximal, characteristic, complemented
17#27240C211yesmaximal, characteristic, complemented
18#26943C211yesmaximal, characteristic, complemented
19#26563C211yesmaximal, characteristic, complemented
20#25168C211yesmaximal, characteristic, complemented
21#24982C211yesmaximal, characteristic, complemented
22#24913C211yesmaximal, characteristic, complemented
23#24909C211yesmaximal, characteristic, complemented
24#24882C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24248C211yesmaximal, characteristic, complemented
27#24136C211yesmaximal, characteristic, complemented
28#24005C211yesmaximal, characteristic, complemented
29#23973C211yesmaximal, characteristic, complemented
30#23918C211yesmaximal, characteristic, complemented
31#23309C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic, complemented
33C2×D42C2211yescharacteristic, complemented
34C2×#534—21no—
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic, complemented
37C2×#481C2211yescharacteristic, complemented
38C2×#481C2211yescharacteristic, complemented
39C2×#480C2211yescharacteristic, complemented
40C2×#478C2211yescharacteristic, complemented
41C2×#469C2211yescharacteristic, complemented
42C2×#459C2211yescharacteristic, complemented
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#447C2211yescharacteristic
46C2×#447C2211yescharacteristic, complemented
47C2×#447C2211yescharacteristic, complemented
48C2×#447C2211yescharacteristic, complemented
49C2×#447C2211yescharacteristic, complemented
50C2×#442C2211yescharacteristic, complemented
51C2×#442C2211yescharacteristic, complemented
52C2×#418C2211yescharacteristic, complemented
53#2847C2211yescharacteristic
54#2703—21no—
55#2691—21no—
56#2671—21no—
57#2671—21no—
58#2668—21no—
59#2668—21no—
60#2613—21no—
61#2543—21no—
62#2537C2211yescharacteristic
63#2537C2211yescharacteristic, complemented
64#2535C2211yescharacteristic
65#2504C2211yescharacteristic, complemented
66#2501C2211yescharacteristic, complemented
67#2490C2211yescharacteristic, complemented
68#2486C2211yescharacteristic, complemented
69#2480—21no—
70#2444—21no—
71#2442C2211yescharacteristic, complemented
72#2428C2211yescharacteristic
73#2428C2211yescharacteristic, complemented
74#2422C2211yescharacteristic
75#2422C2211yescharacteristic, complemented
76#2420C2211yescharacteristic, complemented
77#2416C2211yescharacteristic, complemented
78#2414C2211yescharacteristic
79#2412—21no—
80#2412—21no—
81#2410—21no—
82#2408C2211yescharacteristic
83#2408C2211yescharacteristic, complemented
84#2408C2211yescharacteristic, complemented
85#2405—21no—
86#2361C2211yescharacteristic, complemented
87#2352C2211yescharacteristic, complemented
88D4×C22⋊C4—21no—
89D4×C22⋊C4C2211yescharacteristic, complemented
90D4×C22⋊C4C2211yescharacteristic, complemented
91C4×#120C2211yescharacteristic
92C2×#380C2211yescharacteristic, complemented
93#2101C2211yescharacteristic, complemented
94#2094C2211yescharacteristic, complemented
95#2094C2211yescharacteristic, complemented
96#2092C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2084C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2077C2211yescharacteristic, complemented
104#2077C2211yescharacteristic, complemented
105#2073C2211yescharacteristic, complemented
106#2071C2211yescharacteristic, complemented
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2054C2211yescharacteristic, complemented
111#2054C2211yescharacteristic, complemented
112#2041C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2025C2211yescharacteristic, complemented
131#2011C2211yescharacteristic, complemented
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic, complemented
137#1999C2211yescharacteristic, complemented
138#1999C2211yescharacteristic, complemented
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1992C2211yescharacteristic, complemented
142#1972C2211yescharacteristic, complemented
143#1972C2211yescharacteristic, complemented
144#1972C2211yescharacteristic, complemented
145#1961C2211yescharacteristic, complemented
146#1955C2211yescharacteristic, complemented
147#1955C2211yescharacteristic, complemented
148#1955C2211yescharacteristic, complemented
149#1948C2211yescharacteristic, complemented
150#1943C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1936C2211yescharacteristic, complemented
153#1926C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1924C2211yescharacteristic, complemented
157#1924C2211yescharacteristic, complemented
158#1924C2211yescharacteristic, complemented
159#1924C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1875C2211yescharacteristic, complemented
169#1874C2211yescharacteristic
170#1874C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1874C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1870C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1853C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1836C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1823C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4—21no—
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217#553—42no—
218#553—42no—
219D42—42no—
220D42—42no—
221#534—48no—
222C2×#127C2311yescharacteristic
223C2×#126—21no—
224C2×#125C2311yescharacteristic
225C2×#123—21no—
226C2×#123—21no—
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—21no—
230C2×#123—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—21no—
242C2×#121—42no—
243C2×#121—42no—
244C2×#121—42no—
245C2×#121—42no—
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×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×#120—21no—
265C2×#120—21no—
266C2×#120D411yescharacteristic
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C22⋊C4—21no—
283C22×C22⋊C4—21no—
284C22×C22⋊C4—21no—
285C22×C22⋊C4—21no—
286C22×C22⋊C4—21no—
287#481—42no—
288#481—42no—
289#480—42no—
290#478—42no—
291#469—42no—
292#459—42no—
293#447—42no—
294#447—42no—
295#447—42no—
296#447—42no—
297#447—42no—
298#447—42no—
299#447—42no—
300#442—42no—
301#442—42no—
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×#106C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315#418—42no—
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×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×#97C2311yescharacteristic
362#400—21no—
363#399—21no—
364#399—21no—
365#398—21no—
366#398—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#396—21no—
376#394—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#394—21no—
389#394—21no—
390#394—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#390—21no—
399#390—21no—
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#387—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386D411yescharacteristic
435#386D411yescharacteristic
436#386D411yescharacteristic
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385D411yescharacteristic
442#385D411yescharacteristic
443#385D411yescharacteristic
444#384C2311yescharacteristic
445#384C2311yescharacteristic
446#382C2311yescharacteristic
447#382C2311yescharacteristic
448#381—21no—
449#381—21no—
450#380—21no—
451#380—21no—
452#380—21no—
453#380—21no—
454#380—21no—
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#379—21no—
466#379—21no—
467#379—21no—
468#379—21no—
469#379—21no—
470#379D411yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C22⋊C4—21no—
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
476C2×#95—21no—
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
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#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503C25—21no—
504C25—21no—
505C25—21no—
506C25C2×D411yescharacteristic
507C22×D4—21no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—21no—
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—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—44no—
545C22×D4—44no—
546C22×D4—44no—
547C22×D4—44no—
548C22×D4—44no—
549C22×D4—44no—
550C22×D4—82no—
551C22×D4—82no—
552C22×D4—82no—
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C22×D4C2411yescharacteristic
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4C2×D411yescharacteristic
577C23×C4C2×D411yescharacteristic
578C23×C4C2×D411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C2×D8—22no—
584C2×D8—22no—
585C2×D8—22no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×M16—41no—
602C2×M16—41no—
603C2×M16—41no—
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612#127—22no—
613#127—41no—
614#126—44no—
615#125—22no—
616#125—41no—
617#123—44no—
618#123—44no—
619#123—44no—
620#123—44no—
621#123—44no—
622#123—82no—
623#121—22no—
624#121—22no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—44no—
634#121—44no—
635#121—44no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—44no—
649#121—44no—
650#121—44no—
651#121—44no—
652#121—44no—
653#121—44no—
654#121—44no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—82no—
662#120—24no—
663#120—44no—
664#120—44no—
665#120—44no—
666#120—44no—
667#120—44no—
668#120—82no—
669C4×D4—22no—
670C4×D4—22no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—44no—
686C4×D4—82no—
687#117—22no—
688#117—41no—
689C2×C4⋊C4—22no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4—41no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4—41no—
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
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—44no—
772C2×C22⋊C4—44no—
773C2×C22⋊C4—44no—
774C2×C22⋊C4—82no—
775C2×C22⋊C4—82no—
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
789C2×C42—21no—
790C2×C42C2411yescharacteristic
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793#107—22no—
794#107—41no—
795#106—41no—
796#106—41no—
797#106—41no—
798#106—41no—
799#106—41no—
800#106—41no—
801#106—41no—
802#106—41no—
803C4⋊C8—41no—
804C4⋊C8—41no—
805C4⋊C8—41no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
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—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849#97—41no—
850#97—41no—
851#97—41no—
852#95—21no—
853#95—21no—
854#95—21no—
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#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877C24—24no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—41no—
884C24—41no—
885C24—41no—
886C24—41no—
887C24—41no—
888C24—41no—
889C24—42no—
890C24—42no—
891C24—42no—
892C24—42no—
893C24—42no—
894C24—42no—
895C24—42no—
896C24—42no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24—81no—
901C24—81no—
902C24—81no—
903C24—81no—
904C24—81no—
905C24—81no—
906C24—81no—
907C24—81no—
908C24—81no—
909C24AGL(1,ℤ/8)14yes—
910C24C22×D411yescharacteristic
911C24C22×D411yescharacteristic
912C24C22×D411yescharacteristic
913C24C22×D411yescharacteristic
914C2×D4—24no—
915C2×D4—22no—
916C2×D4—24no—
917C2×D4—22no—
918C2×D4—22no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
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—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—44no—
960C2×D4—42no—
961C2×D4—42no—
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—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—82no—
993C2×D4—82no—
994C2×D4—82no—
995C2×D4—82no—
996C2×D4—82no—
997C2×D4—82no—
998C2×D4—82no—
999C2×D4—82no—
1000C2×D4—82no—
1001C2×D4—82no—
1002C2×D4—82no—
1003C2×D4—81no—
1004C2×D4—81no—
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—816no—
1020C2×D4—816no—
1021C2×D4—816no—
1022C2×D4H(5,𝔽2)12yes—
1023C2×D4H(5,𝔽2)12yes—
1024C2×D4H(5,𝔽2)12yes—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
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—21no—
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—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—42no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—81no—
1082C22×C4—81no—
1083C22×C4—81no—
1084C22×C4—81no—
1085C22×C4—81no—
1086C22×C4—81no—
1087C22×C4—81no—
1088C22×C4—81no—
1089C22×C4—81no—
1090C22×C4—81no—
1091C22×C4—82no—
1092C22×C4—82no—
1093C22×C4—82no—
1094C22×C4—82no—
1095C22×C4—81no—
1096C22×C4—81no—
1097C22×C4—81no—
1098C22×C4—81no—
1099C22×C4—81no—
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C22×D411yescharacteristic
1103C22×C4C22×D411yescharacteristic
1104C22×C4C22×D411yescharacteristic
1105C22×C4C22×D411yescharacteristic
1106C22×C4C22×D411yescharacteristic
1107C22×C4C22×D411yescharacteristic
1108C22×C4C22×D411yescharacteristic
1109C22×C4C22×D411yescharacteristic
1110C22×C4C2511yescharacteristic
1111D8—44no—
1112D8—44no—
1113D8—82no—
1114D8—82no—
1115D8—82no—
1116D8—82no—
1117M16—82no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—21no—
1128C2×C8—21no—
1129C2×C8—21no—
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—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—21no—
1148C4⋊C4—21no—
1149C4⋊C4—21no—
1150C4⋊C4—21no—
1151C4⋊C4—21no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—42no—
1174C4⋊C4—42no—
1175C4⋊C4—81no—
1176C4⋊C4—81no—
1177C4⋊C4—81no—
1178C4⋊C4—81no—
1179C4⋊C4—81no—
1180C4⋊C4H(5,𝔽2)12yes—
1181C22⋊C4—24no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
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—81no—
1219C22⋊C4—81no—
1220C22⋊C4—81no—
1221C22⋊C4—81no—
1222C22⋊C4—81no—
1223C22⋊C4—81no—
1224C22⋊C4—81no—
1225C22⋊C4—81no—
1226C22⋊C4—81no—
1227C22⋊C4—81no—
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—
1239C42—21no—
1240C42—21no—
1241C42—21no—
1242C42—21no—
1243C42—21no—
1244C42—21no—
1245C42—42no—
1246C42—81no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—22no—
1269C23—21no—
1270C23—22no—
1271C23—22no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—48no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
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—84no—
1312C23—84no—
1313C23—82no—
1314C23—82no—
1315C23—82no—
1316C23—82no—
1317C23—84no—
1318C23—84no—
1319C23—84no—
1320C23—84no—
1321C23—84no—
1322C23—84no—
1323C23—162no—
1324C23—162no—
1325C23—162no—
1326C23—162no—
1327C23—162no—
1328C23—162no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23—162no—
1335C23C2×AGL(1,ℤ/8)12yes—
1336C23C2×AGL(1,ℤ/8)12yes—
1337C23C2×AGL(1,ℤ/8)12yes—
1338C23C23×D411yescharacteristic
1339D4—22no—
1340D4—22no—
1341D4—22no—
1342D4—22no—
1343D4—22no—
1344D4—22no—
1345D4—48no—
1346D4—44no—
1347D4—41no—
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—41no—
1361D4—82no—
1362D4—82no—
1363D4—84no—
1364D4—84no—
1365D4—84no—
1366D4—84no—
1367D4—84no—
1368D4—84no—
1369D4—84no—
1370D4—84no—
1371D4—84no—
1372D4—84no—
1373D4—84no—
1374D4—84no—
1375D4—84no—
1376D4—162no—
1377D4—162no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—21no—
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—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
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—82no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—84no—
1464C2×C4—84no—
1465C2×C4—84no—
1466C2×C4—162no—
1467C2×C4—162no—
1468C2×C4—162no—
1469C2×C4—162no—
1470C2×C4—162no—
1471C2×C4—162no—
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C2×C4C2×H(5,𝔽2)11yescharacteristic
1474C2×C4C2×H(5,𝔽2)11yescharacteristic
1475C2×C4C2×H(5,𝔽2)11yescharacteristic
1476C2×C4#58511yescharacteristic
1477C2×C4#58511yescharacteristic
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—42no—
1510C22—41no—
1511C22—42no—
1512C22—41no—
1513C22—42no—
1514C22—41no—
1515C22—42no—
1516C22—42no—
1517C22—41no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—41no—
1523C22—88no—
1524C22—81no—
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—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—168no—
1551C22—168no—
1552C22—168no—
1553C22#348411yescharacteristic
1554C22#348411yescharacteristic
1555C22#348511yescharacteristic
1556C22C22×AGL(1,ℤ/8)11yescharacteristic
1557C22#358511yescharacteristic
1558C22#358511yescharacteristic
1559C22#358511yescharacteristic
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4—81no—
1578C4—81no—
1579C4—81no—
1580C4—81no—
1581C4#353411yescharacteristic
1582C4#353411yescharacteristic
1583C4#354211yescharacteristic
1584C4#355811yescharacteristic
1585C2—42no—
1586C2—42no—
1587C2—42no—
1588C2—81no—
1589C2—82no—
1590C2—82no—
1591C2—82no—
1592C2—161no—
1593C2—161no—
1594C2#4782611yescharacteristic
1595C2#6156911yescharacteristic
1596C2#6157111yescharacteristic
1597C2#6164811yescharacteristic
1598C2#6165311yescharacteristic
1599C2#6170711yescharacteristic
1600C2#6178311yescharacteristic
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. #59013C2semidirect
2. #39338C2semidirect
3. #32072C2semidirect
4. #32020C2semidirect
5. #31958C2semidirect
6. #31949C2semidirect
7. #31851C2semidirect
8. #31791C2semidirect
9. #31370C2semidirect
10. #31140C2semidirect
11. #31064C2semidirect
12. #31032C2semidirect
13. #30575C2semidirect
14. #30412C2semidirect
15. #29892C2semidirect
16. #29592C2semidirect
17. #27240C2semidirect
18. #26943C2semidirect
19. #26563C2semidirect
20. #25168C2semidirect
21. #24982C2semidirect
22. #24913C2semidirect
23. #24909C2semidirect
24. #24882C2semidirect
25. #24440C2semidirect
26. #24248C2semidirect
27. #24136C2semidirect
28. #24005C2semidirect
29. #23973C2semidirect
30. #23918C2semidirect
31. #23309C2semidirect
32. C2×#553C22semidirect
33. C2×D42C22semidirect
36. C22×#121C22semidirect
37. C2×#481C22semidirect
38. C2×#481C22semidirect
39. C2×#480C22semidirect
40. C2×#478C22semidirect
41. C2×#469C22semidirect
42. C2×#459C22semidirect
46. C2×#447C22semidirect
47. C2×#447C22semidirect
48. C2×#447C22semidirect
49. C2×#447C22semidirect
50. C2×#442C22semidirect
51. C2×#442C22semidirect
52. C2×#418C22semidirect
63. #2537C22semidirect
65. #2504C22semidirect
66. #2501C22semidirect
67. #2490C22semidirect
68. #2486C22semidirect
71. #2442C22semidirect
73. #2428C22semidirect
75. #2422C22semidirect
76. #2420C22semidirect
77. #2416C22semidirect
83. #2408C22semidirect
84. #2408C22semidirect
86. #2361C22semidirect
87. #2352C22semidirect
89. D4×C22⋊C4C22semidirect
90. D4×C22⋊C4C22semidirect
92. C2×#380C22semidirect
93. #2101C22semidirect
94. #2094C22semidirect
95. #2094C22semidirect
96. #2092C22semidirect
97. #2088C22semidirect
98. #2085C22semidirect
99. #2084C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2077C22semidirect
103. #2077C22semidirect
104. #2077C22semidirect
105. #2073C22semidirect
106. #2071C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2054C22semidirect
110. #2054C22semidirect
111. #2054C22semidirect
112. #2041C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2034C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
129. #2025C22semidirect
130. #2025C22semidirect
131. #2011C22semidirect
136. #1999C22semidirect
137. #1999C22semidirect
138. #1999C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1992C22semidirect
142. #1972C22semidirect
143. #1972C22semidirect
144. #1972C22semidirect
145. #1961C22semidirect
146. #1955C22semidirect
147. #1955C22semidirect
148. #1955C22semidirect
149. #1948C22semidirect
150. #1943C22semidirect
151. #1936C22semidirect
152. #1936C22semidirect
153. #1926C22semidirect
154. #1925C22semidirect
155. #1924C22semidirect
156. #1924C22semidirect
157. #1924C22semidirect
158. #1924C22semidirect
159. #1924C22semidirect
160. #1924C22semidirect
161. #1895C22semidirect
162. #1879C22semidirect
163. #1879C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1875C22semidirect
170. #1874C22semidirect
171. #1874C22semidirect
172. #1874C22semidirect
173. #1874C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
179. #1870C22semidirect
180. #1864C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1862C22semidirect
184. #1854C22semidirect
185. #1853C22semidirect
186. #1853C22semidirect
187. #1853C22semidirect
188. #1853C22semidirect
189. #1836C22semidirect
190. #1825C22semidirect
191. #1823C22semidirect
192. #1809C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
195. #1802C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#590132
#393382
#320722
#320202
#319582
#319492
#318512
#317912
#313702
#311402
#310642
#310322
#305752
#304122
#298922
#295922
#272402
#269432
#265632
#251682
#249822
#249132
#249092
#248822
#244402
#242482
#241362
#240052
#239732
#239182
#233092