Finite Group Databasebeta

← #7004251

Subgroups — #7004251

Order 512.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1531 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58996C211yesmaximal, characteristic, complemented
2#39349C211yesmaximal, characteristic, complemented
3#32032C211yesmaximal, characteristic, complemented
4#31736C211yesmaximal, characteristic, complemented
5#31494C211yesmaximal, characteristic, complemented
6#31340C211yesmaximal, characteristic, complemented
7#31308C211yesmaximal, characteristic, complemented
8#31010C211yesmaximal, characteristic, complemented
9#30921C211yesmaximal, characteristic, complemented
10#30402C211yesmaximal, characteristic, complemented
11#29054C211yesmaximal, characteristic, complemented
12#28931C211yesmaximal, characteristic, complemented
13#28101C211yesmaximal, characteristic, complemented
14#27262C211yesmaximal, characteristic, complemented
15#27047C211yesmaximal, characteristic, complemented
16#26673C211yesmaximal, characteristic, complemented
17#26342C211yesmaximal, characteristic, complemented
18#26204C211yesmaximal, characteristic, complemented
19#25896C211yesmaximal, characteristic, complemented
20#25397C211yesmaximal, characteristic, complemented
21#25088C211yesmaximal, characteristic, complemented
22#24787C211yesmaximal, characteristic, complemented
23#24441C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24381C211yesmaximal, characteristic, complemented
26#24378C211yesmaximal, characteristic, complemented
27C2×#2033C211yesmaximal, characteristic, complemented
28#23134C211yesmaximal, characteristic, complemented
29#22844C211yesmaximal, characteristic, complemented
30#22419C211yesmaximal, characteristic, complemented
31#21759C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#538—21no—
35C22×C22⋊Q8C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C2×#489C2211yescharacteristic, complemented
38C2×#477C2211yescharacteristic, complemented
39C2×#468C2211yescharacteristic, complemented
40C2×#466C2211yescharacteristic
41C2×#466C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#465C2211yescharacteristic
44C2×#463C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic, complemented
46C2×#448C2211yescharacteristic, complemented
47C2×#447C2211yescharacteristic
48C2×#435C2211yescharacteristic
49C2×#435C2211yescharacteristic, complemented
50C22×#107C2211yescharacteristic
51C2×#417C2211yescharacteristic, complemented
52C22×#102C2211yescharacteristic
53C22×#102C2211yescharacteristic
54C22×C22⋊C8C2211yescharacteristic
55C22×C22⋊C8C2211yescharacteristic
56#2847C2211yescharacteristic
57#2715—21no—
58#2708—21no—
59#2695—21no—
60#2686—21no—
61#2681—21no—
62#2676—21no—
63#2622—21no—
64#2547C2211yescharacteristic, complemented
65#2540C2211yescharacteristic
66#2537C2211yescharacteristic, complemented
67#2496C2211yescharacteristic, complemented
68#2496C2211yescharacteristic, complemented
69#2491C2211yescharacteristic, complemented
70#2486C2211yescharacteristic, complemented
71#2472—21no—
72#2450—21no—
73#2444—21no—
74#2443—21no—
75#2440C2211yescharacteristic
76#2437—21no—
77#2436C2211yescharacteristic
78#2435C2211yescharacteristic
79#2427C2211yescharacteristic
80#2426C2211yescharacteristic
81#2422C2211yescharacteristic, complemented
82#2417C2211yescharacteristic
83#2416—21no—
84#2416C2211yescharacteristic
85#2416C2211yescharacteristic
86#2416C2211yescharacteristic, complemented
87#2410—21no—
88#2407C2211yescharacteristic
89#2361C2211yescharacteristic
90#2361C2211yescharacteristic
91#2360C2211yescharacteristic
92D4×C4⋊C4C2211yescharacteristic
93D4×C22⋊C4—21no—
94C4×#120C2211yescharacteristic
95C2×#380C2211yescharacteristic
96#2100C2211yescharacteristic, complemented
97#2095C2211yescharacteristic, complemented
98#2087C2211yescharacteristic, complemented
99#2076C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2065C2211yescharacteristic, complemented
106#2057C2211yescharacteristic, complemented
107#2054C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2042C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic, complemented
128#2023C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic, complemented
136#1983C2211yescharacteristic, complemented
137#1983C2211yescharacteristic, complemented
138#1973C2211yescharacteristic, complemented
139#1959C2211yescharacteristic, complemented
140#1959C2211yescharacteristic, complemented
141#1955C2211yescharacteristic, complemented
142#1947C2211yescharacteristic, complemented
143#1943C2211yescharacteristic, complemented
144#1936C2211yescharacteristic, complemented
145#1936C2211yescharacteristic, complemented
146#1936C2211yescharacteristic, complemented
147#1935C2211yescharacteristic, complemented
148#1928C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1921C2211yescharacteristic, complemented
153#1921C2211yescharacteristic, complemented
154#1920C2211yescharacteristic, complemented
155#1919C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1893C2211yescharacteristic
158#1893C2211yescharacteristic
159#1892C2211yescharacteristic
160#1892C2211yescharacteristic
161#1892C2211yescharacteristic, complemented
162#1892C2211yescharacteristic, complemented
163#1892C2211yescharacteristic, complemented
164#1892C2211yescharacteristic, complemented
165#1880C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1874C2211yescharacteristic
170#1874C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1872C2211yescharacteristic
173#1872C2211yescharacteristic
174#1872C2211yescharacteristic
175#1872C2211yescharacteristic
176#1872C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1869C2211yescharacteristic
179#1869C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1852C2211yescharacteristic
184#1850C2211yescharacteristic
185#1850C2211yescharacteristic, complemented
186#1824C2211yescharacteristic, complemented
187#1824C2211yescharacteristic, complemented
188#1824C2211yescharacteristic, complemented
189#1809C2211yescharacteristic, complemented
190#1802C2211yescharacteristic, complemented
191#1788C2211yescharacteristic, complemented
192#1788C2211yescharacteristic, complemented
193#1787C2211yescharacteristic, complemented
194#1787C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1763C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1752C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C23×C8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216C23×C8C2311yescharacteristic
217#548—42no—
218#548—42no—
219#546—24no—
220#546—42no—
221#538—48no—
222C2×C4⋊Q8C2311yescharacteristic
223C2×#126—21no—
224C2×#126—21no—
225C2×#124—21no—
226C2×#124—21no—
227C2×#124—21no—
228C2×#124C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#124C2311yescharacteristic
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8—24no—
239C2×C22⋊Q8—42no—
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—42no—
254C2×#121—42no—
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×#120—21no—
266C2×#120D411yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4—21no—
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C22×C4⋊C4—21no—
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C22⋊C4—21no—
284C22×C22⋊C4—21no—
285C22×C22⋊C4—21no—
286C22×C22⋊C4—21no—
287#489—42no—
288#477—42no—
289#468—42no—
290#466—42no—
291#466—42no—
292#465—24no—
293#465—42no—
294#463—42no—
295#449—42no—
296#448—42no—
297#447—42no—
298#435—42no—
299#435—42no—
300C2×#107—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#107C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312#417—42no—
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#102—42no—
328C2×#102—42no—
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#400—21no—
364#400—21no—
365#399—21no—
366#398—21no—
367#398—21no—
368#398—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#397—21no—
376#396—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#395—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#393—21no—
395#393—21no—
396#393—21no—
397#392—21no—
398#392—21no—
399#391—21no—
400#391C2311yescharacteristic
401#391C2311yescharacteristic
402#390—21no—
403#390—21no—
404#390—21no—
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#389—21no—
410#389—21no—
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#387—21no—
422#387—21no—
423#387—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#386—21no—
435#386—21no—
436#386—21no—
437#386D411yescharacteristic
438#386D411yescharacteristic
439#386D411yescharacteristic
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385D411yescharacteristic
449#385D411yescharacteristic
450#385D411yescharacteristic
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#381—21no—
454#380—21no—
455#380—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
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—
507C25C2×D411yescharacteristic
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C22×Q8—21no—
515C22×Q8—21no—
516C22×Q8—22no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×D4—21no—
525C22×D4—22no—
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—22no—
537C22×D4—22no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—44no—
542C22×D4—44no—
543C22×D4—82no—
544C22×D4C2×D411yescharacteristic
545C22×D4C2×D411yescharacteristic
546C22×D4C2×D411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4C2×D411yescharacteristic
566C23×C4C2×D411yescharacteristic
567C23×C4C2×D411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×D8—22no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×M16—22no—
585C2×M16—41no—
586C2×M16—41no—
587C22×C8—22no—
588C22×C8—22no—
589C22×C8—22no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8—41no—
593C22×C8—41no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8—41no—
597C22×C8—41no—
598C22×C8—41no—
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C4⋊Q8—41no—
608C4⋊Q8—41no—
609#126—44no—
610#126—44no—
611#124—22no—
612#124—22no—
613#124—41no—
614#124—41no—
615#124—41no—
616#124—41no—
617#124—44no—
618#124—44no—
619#124—44no—
620#123—44no—
621#123—44no—
622#123—44no—
623C22⋊Q8—22no—
624C22⋊Q8—22no—
625C22⋊Q8—22no—
626C22⋊Q8—22no—
627C22⋊Q8—22no—
628C22⋊Q8—22no—
629C22⋊Q8—44no—
630C22⋊Q8—44no—
631C22⋊Q8—44no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—41no—
635C22⋊Q8—44no—
636C22⋊Q8#4114yes—
637#121—22no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—22no—
642#121—22no—
643#121—22no—
644#121—44no—
645#121—44no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—41no—
650#121—41no—
651#121—44no—
652#121—44no—
653#121—44no—
654#121—44no—
655#121—44no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—82no—
663#120—24no—
664#120—44no—
665#120—44no—
666C4×Q8—22no—
667C4×Q8—41no—
668C4×D4—22no—
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—44no—
679C4×D4—44no—
680C4×D4—44no—
681C4×D4—82no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—22no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
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—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4—41no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4—41no—
711C2×C4⋊C4—41no—
712C2×C4⋊C4—41no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4—44no—
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4C2×D411yescharacteristic
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
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—44no—
770C2×C22⋊C4—44no—
771C2×C22⋊C4—44no—
772C2×C22⋊C4—44no—
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42C2411yescharacteristic
790C2×C42C2411yescharacteristic
791C2×C42C2411yescharacteristic
792#107—22no—
793#107—22no—
794#107—22no—
795#107—41no—
796#107—41no—
797#107—41no—
798#106—22no—
799#106—41no—
800C4⋊C8—22no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803#103—22no—
804#103—22no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
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—
835C22⋊C8—22no—
836C22⋊C8—22no—
837C22⋊C8—22no—
838C22⋊C8—22no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846#97—41no—
847#97—41no—
848#97—41no—
849#95—21no—
850#95—21no—
851#95—21no—
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#95—21no—
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878C24—22no—
879C24—22no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—41no—
884C24—41no—
885C24—41no—
886C24—41no—
887C24—42no—
888C24—42no—
889C24—42no—
890C24—42no—
891C24—81no—
892C24—81no—
893C24—81no—
894C24AGL(1,ℤ/8)14yes—
895C24C22×D411yescharacteristic
896C24C22×D411yescharacteristic
897C24C22×D411yescharacteristic
898C24C22×D411yescharacteristic
899#41—44no—
900#41—82no—
901#41—82no—
902#41—82no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—42no—
915C2×Q8—42no—
916C2×Q8—42no—
917C2×Q8—81no—
918C2×Q8—81no—
919C2×Q8—81no—
920C2×Q8—82no—
921C2×Q8—82no—
922C2×Q8—82no—
923C2×Q8—82no—
924C2×Q8C2×#4112yes—
925C2×D4—24no—
926C2×D4—22no—
927C2×D4—22no—
928C2×D4—22no—
929C2×D4—22no—
930C2×D4—22no—
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—44no—
949C2×D4—44no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—41no—
953C2×D4—41no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
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—82no—
975C2×D4—82no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—816no—
989C2×D4H(5,𝔽2)12yes—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—22no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—42no—
1044C22×C4—42no—
1045C22×C4—42no—
1046C22×C4—42no—
1047C22×C4—82no—
1048C22×C4—82no—
1049C22×C4—82no—
1050C22×C4—82no—
1051C22×C4—81no—
1052C22×C4—81no—
1053C22×C4—81no—
1054C22×C4—81no—
1055C22×C4—81no—
1056C22×C4—81no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4C22×D411yescharacteristic
1066C22×C4C22×D411yescharacteristic
1067C22×C4C22×D411yescharacteristic
1068C22×C4C22×D411yescharacteristic
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C2×#4112yes—
1076C22×C4H(5,𝔽2)12yes—
1077C22×C4C2511yescharacteristic
1078SD16—82no—
1079SD16—82no—
1080D8—82no—
1081D8—82no—
1082M16—82no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—44no—
1107C2×C8—82no—
1108C2×C8—82no—
1109C2×C8—82no—
1110C2×C8H(5,𝔽2)12yes—
1111C4⋊C4—24no—
1112C4⋊C4—22no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—42no—
1136C4⋊C4—42no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—81no—
1149C4⋊C4—81no—
1150C4⋊C4—81no—
1151C4⋊C4—81no—
1152C4⋊C4—81no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4C2×#4112yes—
1157C4⋊C4H(5,𝔽2)12yes—
1158C22⋊C4—24no—
1159C22⋊C4—24no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—42no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C42—21no—
1211C42—21no—
1212C42—21no—
1213C42—21no—
1214C42—21no—
1215C42—21no—
1216C42—42no—
1217C42—42no—
1218C42—42no—
1219C42—81no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—28no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—22no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—44no—
1246C23—44no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—82no—
1268C23—82no—
1269C23—82no—
1270C23—82no—
1271C23—84no—
1272C23—84no—
1273C23—84no—
1274C23—84no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23#54612yes—
1279C23C2×AGL(1,ℤ/8)12yes—
1280C23C2×AGL(1,ℤ/8)12yes—
1281C23C2×AGL(1,ℤ/8)12yes—
1282C23#57812yes—
1283C23C23×D411yescharacteristic
1284Q8—22no—
1285Q8—22no—
1286Q8—41no—
1287Q8—41no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—84no—
1293Q8—162no—
1294D4—22no—
1295D4—22no—
1296D4—48no—
1297D4—44no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—84no—
1309D4—82no—
1310D4—82no—
1311D4—84no—
1312D4—84no—
1313D4—84no—
1314D4—84no—
1315D4—84no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—22no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—82no—
1405C2×C4—82no—
1406C2×C4—82no—
1407C2×C4—84no—
1408C2×C4—84no—
1409C2×C4—84no—
1410C2×C4—84no—
1411C2×C4—162no—
1412C2×C4—162no—
1413C2×C4—162no—
1414C2×C4—162no—
1415C2×C4—162no—
1416C2×C4#54612yes—
1417C2×C4C22×#4111yescharacteristic
1418C2×C4C2×H(5,𝔽2)11yescharacteristic
1419C2×C4C2×H(5,𝔽2)11yescharacteristic
1420C2×C4C2×H(5,𝔽2)11yescharacteristic
1421C2×C4C2×H(5,𝔽2)11yescharacteristic
1422C2×C4#58511yescharacteristic
1423C8—22no—
1424C8—41no—
1425C8—41no—
1426C8—41no—
1427C8—41no—
1428C8—41no—
1429C8—41no—
1430C8—41no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—42no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—42no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—42no—
1461C22—88no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—81no—
1471C22—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—168no—
1481C22#330814yes—
1482C22C2×#54611yescharacteristic
1483C22#348411yescharacteristic
1484C22#349611yescharacteristic
1485C22C22×AGL(1,ℤ/8)11yescharacteristic
1486C22C2×#57811yescharacteristic
1487C22#358411yescharacteristic
1488C22#358511yescharacteristic
1489C4—22no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—42no—
1494C4—41no—
1495C4—42no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—42no—
1500C4—41no—
1501C4—41no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4#351411yescharacteristic
1513C4#351911yescharacteristic
1514C4#353411yescharacteristic
1515C4#353711yescharacteristic
1516C2—24no—
1517C2—42no—
1518C2—42no—
1519C2—81no—
1520C2—82no—
1521C2—161no—
1522C2—161no—
1523C2#4301911yescharacteristic
1524C2C2×#330811yescharacteristic
1525C2#6119611yescharacteristic
1526C2#6156911yescharacteristic
1527C2#6164211yescharacteristic
1528C2#6225311yescharacteristic
1529C2#6231211yescharacteristic
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. #58996C2semidirect
2. #39349C2semidirect
3. #32032C2semidirect
4. #31736C2semidirect
5. #31494C2semidirect
6. #31340C2semidirect
7. #31308C2semidirect
8. #31010C2semidirect
9. #30921C2semidirect
10. #30402C2semidirect
11. #29054C2semidirect
12. #28931C2semidirect
13. #28101C2semidirect
14. #27262C2semidirect
15. #27047C2semidirect
16. #26673C2semidirect
17. #26342C2semidirect
18. #26204C2semidirect
19. #25896C2semidirect
20. #25397C2semidirect
21. #25088C2semidirect
22. #24787C2semidirect
23. #24441C2semidirect
24. #24434C2semidirect
25. #24381C2semidirect
26. #24378C2semidirect
27. C2×#2033C2semidirect
28. #23134C2semidirect
29. #22844C2semidirect
30. #22419C2semidirect
31. #21759C2semidirect
37. C2×#489C22semidirect
38. C2×#477C22semidirect
39. C2×#468C22semidirect
44. C2×#463C22semidirect
45. C2×#449C22semidirect
46. C2×#448C22semidirect
49. C2×#435C22semidirect
51. C2×#417C22semidirect
64. #2547C22semidirect
66. #2537C22semidirect
67. #2496C22semidirect
68. #2496C22semidirect
69. #2491C22semidirect
70. #2486C22semidirect
81. #2422C22semidirect
86. #2416C22semidirect
96. #2100C22semidirect
97. #2095C22semidirect
98. #2087C22semidirect
99. #2076C22semidirect
100. #2072C22semidirect
101. #2071C22semidirect
102. #2068C22semidirect
103. #2068C22semidirect
104. #2067C22semidirect
105. #2065C22semidirect
106. #2057C22semidirect
107. #2054C22semidirect
108. #2042C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
111. #2042C22semidirect
112. #2036C22semidirect
113. #2036C22semidirect
114. #2035C22semidirect
115. #2035C22semidirect
116. #2034C22semidirect
127. #2033C22semidirect
128. #2023C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
135. #1999C22semidirect
136. #1983C22semidirect
137. #1983C22semidirect
138. #1973C22semidirect
139. #1959C22semidirect
140. #1959C22semidirect
141. #1955C22semidirect
142. #1947C22semidirect
143. #1943C22semidirect
144. #1936C22semidirect
145. #1936C22semidirect
146. #1936C22semidirect
147. #1935C22semidirect
148. #1928C22semidirect
149. #1926C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1921C22semidirect
153. #1921C22semidirect
154. #1920C22semidirect
155. #1919C22semidirect
156. #1895C22semidirect
161. #1892C22semidirect
162. #1892C22semidirect
163. #1892C22semidirect
164. #1892C22semidirect
165. #1880C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1877C22semidirect
170. #1874C22semidirect
171. #1874C22semidirect
176. #1872C22semidirect
177. #1870C22semidirect
179. #1869C22semidirect
180. #1864C22semidirect
181. #1863C22semidirect
182. #1853C22semidirect
185. #1850C22semidirect
186. #1824C22semidirect
187. #1824C22semidirect
188. #1824C22semidirect
189. #1809C22semidirect
190. #1802C22semidirect
191. #1788C22semidirect
192. #1788C22semidirect
193. #1787C22semidirect
194. #1787C22semidirect
195. #1787C22semidirect
197. #1763C22semidirect
198. #1762C22semidirect
199. #1762C22semidirect
201. #1752C22semidirect

Maximal subgroups

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

subgroupindex
#589962
#393492
#320322
#317362
#314942
#313402
#313082
#310102
#309212
#304022
#290542
#289312
#281012
#272622
#270472
#266732
#263422
#262042
#258962
#253972
#250882
#247872
#244412
#244342
#243812
#243782
C2×#20332
#231342
#228442
#224192
#217592