Finite Group Databasebeta

← #7303062

Subgroups — #7303062

Order 512.

2177 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59051C211yesmaximal, characteristic, complemented
2#38949C211yesmaximal, characteristic, complemented
3#31736C211yesmaximal, characteristic, complemented
4#31720C211yesmaximal, characteristic, complemented
5#30749C211yesmaximal, characteristic, complemented
6#30733C211yesmaximal, characteristic, complemented
7#30719C211yesmaximal, characteristic, complemented
8#30703C211yesmaximal, characteristic, complemented
9#30605C211yesmaximal, characteristic, complemented
10#30593C211yesmaximal, characteristic, complemented
11#30509C211yesmaximal, characteristic, complemented
12#30505C211yesmaximal, characteristic, complemented
13#30468C211yesmaximal, characteristic, complemented
14#30447C211yesmaximal, characteristic, complemented
15#30111C211yesmaximal, characteristic, complemented
16#29667C211yesmaximal, characteristic, complemented
17#28117C211yesmaximal, characteristic, complemented
18#26705C211yesmaximal, characteristic, complemented
19#26689C211yesmaximal, characteristic, complemented
20#26672C211yesmaximal, characteristic, complemented
21#26657C211yesmaximal, characteristic, complemented
22#25770C211yesmaximal, characteristic, complemented
23#25757C211yesmaximal, characteristic, complemented
24#25106C211yesmaximal, characteristic, complemented
25#25088C211yesmaximal, characteristic, complemented
26#24444C211yesmaximal, characteristic, complemented
27#24424C211yesmaximal, characteristic, complemented
28#23972C211yesmaximal, characteristic, complemented
29#23960C211yesmaximal, characteristic, complemented
30#23930C211yesmaximal, characteristic, complemented
31#23331C211yesmaximal, characteristic, complemented
32C2×#550—21no—
33C2×#547C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#532C2211yescharacteristic, complemented
37C2×#496C2211yescharacteristic
38C2×#493C2211yescharacteristic
39C2×#481C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#469C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic
43C2×#465C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic, complemented
46C2×#459C2211yescharacteristic
47C2×#459C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic, complemented
51C2×#447C2211yescharacteristic
52C2×#447C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×#447C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#417C2211yescharacteristic, complemented
58C22×#102C2211yescharacteristic
59#2850C2211yescharacteristic
60#2701—21no—
61#2699—21no—
62#2697—21no—
63#2678—21no—
64#2673—21no—
65#2673—21no—
66#2617—21no—
67#2541C2211yescharacteristic
68#2541C2211yescharacteristic, complemented
69#2541C2211yescharacteristic, complemented
70#2541C2211yescharacteristic, complemented
71#2456—21no—
72#2456—21no—
73#2447C2211yescharacteristic
74#2445C2211yescharacteristic
75#2435C2211yescharacteristic
76#2431—21no—
77#2431C2211yescharacteristic
78#2428C2211yescharacteristic, complemented
79#2428C2211yescharacteristic, complemented
80#2426—21no—
81#2420C2211yescharacteristic
82#2420C2211yescharacteristic
83#2417C2211yescharacteristic
84#2416C2211yescharacteristic
85#2416C2211yescharacteristic
86#2416C2211yescharacteristic, complemented
87#2412—21no—
88#2410—21no—
89#2408C2211yescharacteristic
90#2407—21no—
91#2407C2211yescharacteristic
92#2365C2211yescharacteristic, complemented
93#2361C2211yescharacteristic, complemented
94#2361C2211yescharacteristic, complemented
95#2308—21no—
96C4×#121C2211yescharacteristic
97C4×#121C2211yescharacteristic, complemented
98C2×#390C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2092C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2087C2211yescharacteristic, complemented
103#2065C2211yescharacteristic
104#2065C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2054C2211yescharacteristic
107#2054C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2042C2211yescharacteristic
110#2042C2211yescharacteristic, complemented
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2023C2211yescharacteristic
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2014C2211yescharacteristic, complemented
125#2014C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic, complemented
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic, complemented
131#2011C2211yescharacteristic, complemented
132#2011C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1983C2211yescharacteristic
148#1982C2211yescharacteristic
149#1955C2211yescharacteristic, complemented
150#1954C2211yescharacteristic
151#1936C2211yescharacteristic, complemented
152#1936C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1927C2211yescharacteristic, complemented
157#1926C2211yescharacteristic
158#1926C2211yescharacteristic, complemented
159#1926C2211yescharacteristic, complemented
160#1926C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1923C2211yescharacteristic, complemented
163#1920C2211yescharacteristic, complemented
164#1919C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic
181#1874C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic
191#1851C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1824C2211yescharacteristic, complemented
194#1824C2211yescharacteristic, complemented
195#1823C2211yescharacteristic, complemented
196#1817C2211yescharacteristic, complemented
197#1804C2211yescharacteristic, complemented
198#1804C2211yescharacteristic, complemented
199#1797C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic
203C22×#41—21no—
204C22×#41—21no—
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#550—48no—
224#547—42no—
225#547—42no—
226#546—42no—
227#546—42no—
228D42—42no—
229D42—42no—
230#532—42no—
231#532—42no—
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127—21no—
234C2×#127—21no—
235C2×#127—21no—
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#127C2311yescharacteristic
240C2×#124—21no—
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121D411yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×#120—21no—
278C2×C4×Q8—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4—21no—
282C2×C4×D4—21no—
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C22⋊C4—21no—
295C22×C22⋊C4—21no—
296C22×C22⋊C4—21no—
297C22×C42C2311yescharacteristic
298#496—42no—
299#493—42no—
300#481—42no—
301#469—42no—
302#469—42no—
303#466—42no—
304#465—42no—
305#463—42no—
306#463—42no—
307#459—42no—
308#459—42no—
309#449—42no—
310#449—42no—
311#449—42no—
312#447—42no—
313#447—42no—
314#447—42no—
315#447—42no—
316#447—42no—
317#447—42no—
318C2×#107C2311yescharacteristic
319C2×#106C2311yescharacteristic
320C2×#106C2311yescharacteristic
321C2×#106C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326#417—42no—
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#103C2311yescharacteristic
330C2×#103C2311yescharacteristic
331C2×#103C2311yescharacteristic
332C2×#102—42no—
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×#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×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×#97C2311yescharacteristic
371C2×C4×C8C2311yescharacteristic
372#398—21no—
373#397—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—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#394—21no—
392#394—21no—
393#394—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#391—21no—
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390D411yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#389D411yescharacteristic
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388D411yescharacteristic
438#388D411yescharacteristic
439#387—21no—
440#387—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386D411yescharacteristic
459#386D411yescharacteristic
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#382C2311yescharacteristic
465#381—21no—
466#381—21no—
467#381—21no—
468#380—21no—
469#380D411yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C22⋊C4—21no—
481C4×C22⋊C4C2311yescharacteristic
482C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509C25—21no—
510C25—21no—
511C2×#41—22no—
512C2×#41—41no—
513C2×#41—44no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—44no—
519C2×#41—44no—
520C2×#41—44no—
521C2×#41—82no—
522C2×#41—82no—
523C22×Q8—21no—
524C22×Q8C2411yescharacteristic
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
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—21no—
538C22×D4—21no—
539C22×D4—21no—
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—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—44no—
562C22×D4—44no—
563C22×D4—82no—
564C22×D4C2×D411yescharacteristic
565C22×D4C2×D411yescharacteristic
566C22×D4C2×D411yescharacteristic
567C22×D4C2411yescharacteristic
568C22×D4C2411yescharacteristic
569C22×D4C2411yescharacteristic
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—21no—
582C23×C4C2×D411yescharacteristic
583C23×C4C2×D411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—22no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×M16—41no—
624C2×M16—41no—
625C2×M16—41no—
626C22×C8—41no—
627C22×C8—41no—
628C22×C8—41no—
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C22×C8C2411yescharacteristic
634C22×C8C2411yescharacteristic
635C22×C8C2411yescharacteristic
636C22×C8C2411yescharacteristic
637C4⋊Q8—22no—
638C4⋊Q8—22no—
639#127—22no—
640#127—41no—
641#127—41no—
642#127—41no—
643#127—41no—
644#127—41no—
645#127—41no—
646#127—41no—
647#127—44no—
648#127—44no—
649#127—44no—
650#124—22no—
651#124—41no—
652#124—41no—
653#124—41no—
654#124—44no—
655#123—44no—
656#123—44no—
657#123—44no—
658#123—82no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661C22⋊Q8—44no—
662C22⋊Q8—41no—
663C22⋊Q8—41no—
664#121—24no—
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—44no—
675#121—44no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—44no—
688#121—44no—
689#121—44no—
690#121—44no—
691#121—44no—
692#121—44no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—82no—
700#121—82no—
701#120—44no—
702#120—44no—
703#120—44no—
704#120—82no—
705C4×Q8—44no—
706C4×D4—22no—
707C4×D4—22no—
708C4×D4—22no—
709C4×D4—22no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—41no—
716C4×D4—41no—
717C4×D4—41no—
718C4×D4—41no—
719C4×D4—41no—
720C4×D4—41no—
721C4×D4—41no—
722C4×D4—44no—
723C4×D4—44no—
724C4×D4—44no—
725C4×D4—44no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—22no—
728C2×C4⋊C4—22no—
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—41no—
740C2×C4⋊C4—41no—
741C2×C4⋊C4—41no—
742C2×C4⋊C4—41no—
743C2×C4⋊C4C2×D411yescharacteristic
744C2×C4⋊C4C2×D411yescharacteristic
745C2×C4⋊C4C2×D411yescharacteristic
746C2×C4⋊C4C2×D411yescharacteristic
747C2×C4⋊C4C2×D411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C4⋊C4C2411yescharacteristic
750C2×C4⋊C4C2411yescharacteristic
751C2×C4⋊C4C2411yescharacteristic
752C2×C4⋊C4C2411yescharacteristic
753C2×C4⋊C4C2411yescharacteristic
754C2×C4⋊C4C2411yescharacteristic
755C2×C4⋊C4C2411yescharacteristic
756C2×C4⋊C4C2411yescharacteristic
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—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—44no—
803C2×C22⋊C4—82no—
804C2×C22⋊C4—82no—
805C2×C22⋊C4C2×D411yescharacteristic
806C2×C22⋊C4C2×D411yescharacteristic
807C2×C22⋊C4C2×D411yescharacteristic
808C2×C22⋊C4C2×D411yescharacteristic
809C2×C22⋊C4C2×D411yescharacteristic
810C2×C22⋊C4C2×D411yescharacteristic
811C2×C22⋊C4C2×D411yescharacteristic
812C2×C22⋊C4C2×D411yescharacteristic
813C2×C22⋊C4C2×D411yescharacteristic
814C2×C22⋊C4C2×D411yescharacteristic
815C2×C42—21no—
816C2×C42—21no—
817C2×C42—21no—
818C2×C42—41no—
819C2×C42—41no—
820C2×C42C2×D411yescharacteristic
821C2×C42C2×D411yescharacteristic
822C2×C42C2411yescharacteristic
823C2×C42C2411yescharacteristic
824C2×C42C2411yescharacteristic
825C2×C42C2411yescharacteristic
826#107—41no—
827#106—22no—
828#106—22no—
829#106—41no—
830C4⋊C8—41no—
831C4⋊C8—41no—
832C4⋊C8—41no—
833C4⋊C8—41no—
834#103—22no—
835#103—22no—
836#103—22no—
837#103—41no—
838#103—41no—
839#102—22no—
840#102—22no—
841#102—22no—
842#102—22no—
843#102—22no—
844#102—22no—
845#102—22no—
846#102—22no—
847#102—22no—
848#102—22no—
849#102—22no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860#102—41no—
861#102—41no—
862#102—41no—
863#102—41no—
864#102—41no—
865#102—41no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868C22⋊C8—41no—
869C22⋊C8—41no—
870C22⋊C8—41no—
871C22⋊C8—41no—
872C22⋊C8—41no—
873C22⋊C8—41no—
874C22⋊C8—41no—
875C22⋊C8—41no—
876#97—41no—
877C4×C8—41no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
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#95C2×D411yescharacteristic
896#95C2×D411yescharacteristic
897#95C2×D411yescharacteristic
898#95C2×D411yescharacteristic
899#95C2×D411yescharacteristic
900#95C2×D411yescharacteristic
901C24—24no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—42no—
909C24—42no—
910C24—42no—
911C24—42no—
912C24—81no—
913C24—81no—
914C24—81no—
915C24—81no—
916C24—81no—
917C24—81no—
918C24—81no—
919C24—81no—
920C24—81no—
921C24C22×D411yescharacteristic
922C24C22×D411yescharacteristic
923C24C22×D411yescharacteristic
924#41—44no—
925#41—82no—
926#41—82no—
927#41—82no—
928#41—816no—
929#41—816no—
930C2×Q8—24no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—21no—
937C2×Q8—42no—
938C2×Q8—42no—
939C2×D4—22no—
940C2×D4—24no—
941C2×D4—22no—
942C2×D4—22no—
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—21no—
957C2×D4—21no—
958C2×D4—21no—
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—41no—
978C2×D4—41no—
979C2×D4—41no—
980C2×D4—41no—
981C2×D4—41no—
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—44no—
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—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
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—81no—
1034C2×D4—81no—
1035C2×D4—82no—
1036C2×D4—82no—
1037C2×D4—82no—
1038C2×D4—82no—
1039C2×D4—82no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—816no—
1062C2×D4AGL(1,ℤ/8)14yes—
1063C2×D4H(5,𝔽2)12yes—
1064C2×D4H(5,𝔽2)12yes—
1065C22×C4—22no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—22no—
1070C22×C4—21no—
1071C22×C4—21no—
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—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4—81no—
1118C22×C4—81no—
1119C22×C4—81no—
1120C22×C4—81no—
1121C22×C4—81no—
1122C22×C4—81no—
1123C22×C4—81no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C2511yescharacteristic
1138SD16—82no—
1139SD16—82no—
1140SD16—82no—
1141D8—82no—
1142D8—82no—
1143D8—82no—
1144D8—82no—
1145D8—82no—
1146D8—82no—
1147D8—82no—
1148D8—82no—
1149D8—82no—
1150M16—82no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—82no—
1176C4⋊C4—24no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
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—21no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
1193C4⋊C4—21no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—81no—
1204C4⋊C4—81no—
1205C4⋊C4—81no—
1206C4⋊C4—81no—
1207C4⋊C4H(5,𝔽2)12yes—
1208C4⋊C4H(5,𝔽2)12yes—
1209C4⋊C4H(5,𝔽2)12yes—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
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—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
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—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C42—21no—
1266C42—21no—
1267C42—21no—
1268C42—21no—
1269C42—21no—
1270C42—21no—
1271C42—21no—
1272C42—21no—
1273C42—41no—
1274C42—41no—
1275C42—42no—
1276C42—42no—
1277C42—42no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—22no—
1293C23—22no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—48no—
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—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—84no—
1341C23—84no—
1342C23—84no—
1343C23—84no—
1344C23—162no—
1345C23—162no—
1346C23—162no—
1347C23—162no—
1348C23—162no—
1349C23—162no—
1350C23—162no—
1351C23—162no—
1352C23—162no—
1353C23C2×AGL(1,ℤ/8)12yes—
1354C23C2×AGL(1,ℤ/8)12yes—
1355C23C23×D411yescharacteristic
1356Q8—48no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361D4—22no—
1362D4—22no—
1363D4—22no—
1364D4—22no—
1365D4—44no—
1366D4—44no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—84no—
1388D4—84no—
1389D4—82no—
1390D4—84no—
1391D4—84no—
1392D4—84no—
1393D4—84no—
1394D4—84no—
1395D4—84no—
1396D4—84no—
1397D4—84no—
1398D4—84no—
1399D4—84no—
1400D4—84no—
1401D4—84no—
1402D4—84no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
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—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
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—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4—82no—
1489C2×C4—84no—
1490C2×C4—84no—
1491C2×C4—84no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—162no—
1495C2×C4—162no—
1496C2×C4C2×AGL(1,ℤ/8)12yes—
1497C2×C4#57612yes—
1498C2×C4C2×H(5,𝔽2)11yescharacteristic
1499C2×C4C2×H(5,𝔽2)11yescharacteristic
1500C2×C4C2×H(5,𝔽2)11yescharacteristic
1501C2×C4C2×H(5,𝔽2)11yescharacteristic
1502C2×C4C2×H(5,𝔽2)11yescharacteristic
1503C2×C4#58511yescharacteristic
1504C8—41no—
1505C8—41no—
1506C8—41no—
1507C8—41no—
1508C8—41no—
1509C8—41no—
1510C8—41no—
1511C8—41no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—42no—
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—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—168no—
1576C22—168no—
1577C22#348411yescharacteristic
1578C22#348411yescharacteristic
1579C22#348811yescharacteristic
1580C22C22×AGL(1,ℤ/8)11yescharacteristic
1581C22C2×#57611yescharacteristic
1582C22#358411yescharacteristic
1583C22#358511yescharacteristic
1584C4—22no—
1585C4—22no—
1586C4—42no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4—81no—
1603C4—81no—
1604C4—81no—
1605C4#354211yescharacteristic
1606C4#354211yescharacteristic
1607C4#354311yescharacteristic
1608C4#354311yescharacteristic
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—82no—
1613C2—82no—
1614C2—161no—
1615C2—161no—
1616C2—161no—
1617C2—161no—
1618C2#4783111yescharacteristic
1619C2#6156911yescharacteristic
1620C2#6159111yescharacteristic
1621C2#6161611yescharacteristic
1622C2#6165711yescharacteristic
1623C2#6198911yescharacteristic
1624C2#6203711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59051C2semidirect
2. #38949C2semidirect
3. #31736C2semidirect
4. #31720C2semidirect
5. #30749C2semidirect
6. #30733C2semidirect
7. #30719C2semidirect
8. #30703C2semidirect
9. #30605C2semidirect
10. #30593C2semidirect
11. #30509C2semidirect
12. #30505C2semidirect
13. #30468C2semidirect
14. #30447C2semidirect
15. #30111C2semidirect
16. #29667C2semidirect
17. #28117C2semidirect
18. #26705C2semidirect
19. #26689C2semidirect
20. #26672C2semidirect
21. #26657C2semidirect
22. #25770C2semidirect
23. #25757C2semidirect
24. #25106C2semidirect
25. #25088C2semidirect
26. #24444C2semidirect
27. #24424C2semidirect
28. #23972C2semidirect
29. #23960C2semidirect
30. #23930C2semidirect
31. #23331C2semidirect
33. C2×#547C22semidirect
36. C2×#532C22semidirect
39. C2×#481C22semidirect
41. C2×#469C22semidirect
43. C2×#465C22semidirect
44. C2×#463C22semidirect
45. C2×#463C22semidirect
47. C2×#459C22semidirect
48. C2×#449C22semidirect
49. C2×#449C22semidirect
50. C2×#449C22semidirect
57. C2×#417C22semidirect
68. #2541C22semidirect
69. #2541C22semidirect
70. #2541C22semidirect
78. #2428C22semidirect
79. #2428C22semidirect
86. #2416C22semidirect
92. #2365C22semidirect
93. #2361C22semidirect
94. #2361C22semidirect
97. C4×#121C22semidirect
99. #2101C22semidirect
100. #2092C22semidirect
101. #2088C22semidirect
102. #2087C22semidirect
104. #2065C22semidirect
105. #2055C22semidirect
107. #2054C22semidirect
108. #2054C22semidirect
110. #2042C22semidirect
112. #2041C22semidirect
113. #2041C22semidirect
114. #2035C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
119. #2033C22semidirect
120. #2024C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
124. #2014C22semidirect
125. #2014C22semidirect
127. #2012C22semidirect
130. #2011C22semidirect
131. #2011C22semidirect
132. #2011C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
149. #1955C22semidirect
151. #1936C22semidirect
152. #1936C22semidirect
153. #1934C22semidirect
154. #1933C22semidirect
155. #1928C22semidirect
156. #1927C22semidirect
158. #1926C22semidirect
159. #1926C22semidirect
160. #1926C22semidirect
161. #1924C22semidirect
162. #1923C22semidirect
163. #1920C22semidirect
164. #1919C22semidirect
165. #1917C22semidirect
166. #1916C22semidirect
167. #1895C22semidirect
168. #1893C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1877C22semidirect
181. #1874C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1872C22semidirect
185. #1870C22semidirect
186. #1870C22semidirect
188. #1869C22semidirect
189. #1864C22semidirect
191. #1851C22semidirect
192. #1850C22semidirect
193. #1824C22semidirect
194. #1824C22semidirect
195. #1823C22semidirect
196. #1817C22semidirect
197. #1804C22semidirect
198. #1804C22semidirect
199. #1797C22semidirect
201. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#590512
#389492
#317362
#317202
#307492
#307332
#307192
#307032
#306052
#305932
#305092
#305052
#304682
#304472
#301112
#296672
#281172
#267052
#266892
#266722
#266572
#257702
#257572
#251062
#250882
#244442
#244242
#239722
#239602
#239302
#233312