Finite Group Databasebeta

← #7302832

Subgroups — #7302832

Order 512.

2077 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59041C211yesmaximal, characteristic, complemented
2#39166C211yesmaximal, characteristic, complemented
3#31663C211yesmaximal, characteristic, complemented
4#31643C211yesmaximal, characteristic, complemented
5#31567C211yesmaximal, characteristic, complemented
6#31553C211yesmaximal, characteristic, complemented
7#31408C211yesmaximal, characteristic, complemented
8#31396C211yesmaximal, characteristic, complemented
9#31272C211yesmaximal, characteristic, complemented
10#31268C211yesmaximal, characteristic, complemented
11#31032C211yesmaximal, characteristic, complemented
12#31024C211yesmaximal, characteristic, complemented
13#31003C211yesmaximal, characteristic, complemented
14#30994C211yesmaximal, characteristic, complemented
15#30107C211yesmaximal, characteristic, complemented
16#29667C211yesmaximal, characteristic, complemented
17#28115C211yesmaximal, characteristic, complemented
18#26602C211yesmaximal, characteristic, complemented
19#26586C211yesmaximal, characteristic, complemented
20#24917C211yesmaximal, characteristic, complemented
21#24905C211yesmaximal, characteristic, complemented
22#24367C211yesmaximal, characteristic, complemented
23#24359C211yesmaximal, characteristic, complemented
24#24251C211yesmaximal, characteristic, complemented
25#24244C211yesmaximal, characteristic, complemented
26#23931C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23855C211yesmaximal, characteristic, complemented
30#23849C211yesmaximal, characteristic, complemented
31#23329C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34C2×D4×Q8C2211yescharacteristic, complemented
35C2×#548C2211yescharacteristic, complemented
36C2×D42C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C2×#481C2211yescharacteristic
39C2×#463C2211yescharacteristic, complemented
40C2×#463C2211yescharacteristic, complemented
41C2×#463C2211yescharacteristic, complemented
42C2×#461C2211yescharacteristic, complemented
43C2×#449C2211yescharacteristic
44C2×#448C2211yescharacteristic
45C2×#448C2211yescharacteristic
46C2×#448C2211yescharacteristic, complemented
47C2×#448C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#440C2211yescharacteristic, complemented
53C2×C4×SD16C2211yescharacteristic, complemented
54#2850C2211yescharacteristic, complemented
55#2731—21no—
56#2730—21no—
57#2729—21no—
58#2728—21no—
59#2684—21no—
60#2684—21no—
61#2639—21no—
62#2564—21no—
63#2563C2211yescharacteristic
64#2563C2211yescharacteristic
65#2543—21no—
66#2535—21no—
67#2535C2211yescharacteristic
68#2535C2211yescharacteristic
69#2448C2211yescharacteristic, complemented
70#2446C2211yescharacteristic, complemented
71#2436C2211yescharacteristic, complemented
72#2432C2211yescharacteristic, complemented
73#2421C2211yescharacteristic, complemented
74#2421C2211yescharacteristic, complemented
75#2420—21no—
76#2420C2211yescharacteristic
77#2420C2211yescharacteristic
78#2417C2211yescharacteristic, complemented
79#2416C2211yescharacteristic, complemented
80#2409C2211yescharacteristic
81#2408—21no—
82#2408C2211yescharacteristic
83#2408C2211yescharacteristic
84#2407C2211yescharacteristic
85#2404—21no—
86#2404—21no—
87#2366C2211yescharacteristic
88D4×C22⋊C4—21no—
89D4×C22⋊C4C2211yescharacteristic
90D4×C22⋊C4C2211yescharacteristic
91#2325—21no—
92C4×#121C2211yescharacteristic
93C4×#121C2211yescharacteristic
94C2×#391C2211yescharacteristic, complemented
95#2101C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2101C2211yescharacteristic, complemented
98#2092C2211yescharacteristic
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2074C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2066C2211yescharacteristic, complemented
106#2066C2211yescharacteristic, complemented
107#2065C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic
112#2054C2211yescharacteristic
113#2042C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2036C2211yescharacteristic, complemented
116#2035C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2024C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2014C2211yescharacteristic
125#2014C2211yescharacteristic
126#2014C2211yescharacteristic
127#2013C2211yescharacteristic
128#2013C2211yescharacteristic, complemented
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic, complemented
132#2011C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1972C2211yescharacteristic, complemented
144#1968C2211yescharacteristic, complemented
145#1960C2211yescharacteristic, complemented
146#1958C2211yescharacteristic, complemented
147#1955C2211yescharacteristic, complemented
148#1954C2211yescharacteristic, complemented
149#1936C2211yescharacteristic
150#1934C2211yescharacteristic
151#1927C2211yescharacteristic, complemented
152#1927C2211yescharacteristic, complemented
153#1927C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1894C2211yescharacteristic, complemented
161#1894C2211yescharacteristic, complemented
162#1893C2211yescharacteristic
163#1893C2211yescharacteristic, complemented
164#1892C2211yescharacteristic, complemented
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic, complemented
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic, complemented
175#1877C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1850C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1817C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×SD16—42no—
214C22×SD16—42no—
215C22×SD16—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C23×C8C2311yescharacteristic
230D4×Q8—42no—
231D4×Q8—42no—
232#548—42no—
233#548—42no—
234D42—42no—
235D42—42no—
236#532—42no—
237#532—42no—
238C2×C4⋊Q8—21no—
239C2×C4⋊Q8C2311yescharacteristic
240C2×C4⋊Q8C2311yescharacteristic
241C2×#127C2311yescharacteristic
242C2×#124—21no—
243C2×#124—21no—
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121D411yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×C4×Q8C2311yescharacteristic
270C2×C4×Q8C2311yescharacteristic
271C2×C4×D4—21no—
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4—21no—
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C22⋊C4—21no—
286C22×C22⋊C4—21no—
287C22×C42C2311yescharacteristic
288#481—42no—
289#463—42no—
290#463—42no—
291#463—42no—
292#461—42no—
293#450—42no—
294#450—42no—
295#450—42no—
296#449—42no—
297#448—42no—
298#448—42no—
299#448—42no—
300#448—42no—
301#447—42no—
302#440—42no—
303C4×SD16—42no—
304C2×#107C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×#103C2311yescharacteristic
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×#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×#97C2311yescharacteristic
355C2×C4×C8C2311yescharacteristic
356#400—21no—
357#400—21no—
358#400—21no—
359#399—21no—
360#398—21no—
361#398—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#396—21no—
370#396—21no—
371#395—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#393—21no—
381#393—21no—
382#393—21no—
383#393—21no—
384#393—21no—
385#393—21no—
386#393—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#391—21no—
393#391—21no—
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#390—21no—
401#390—21no—
402#390D411yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#389D411yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388D411yescharacteristic
422#388D411yescharacteristic
423#387—21no—
424#387—21no—
425#387—21no—
426#387—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#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386D411yescharacteristic
449#386D411yescharacteristic
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#382—21no—
455#382C2311yescharacteristic
456#382C2311yescharacteristic
457#382C2311yescharacteristic
458#381—21no—
459#381—21no—
460#380—21no—
461#380—21no—
462#380—21no—
463#380D411yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#379—21no—
472#379—21no—
473#379—21no—
474#379—21no—
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C22⋊C4—21no—
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480C2×#95—21no—
481C2×#95—21no—
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#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C25—21no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—44no—
517C2×#41—82no—
518C2×#41—82no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—21no—
522C22×Q8—21no—
523C22×Q8—21no—
524C22×Q8—22no—
525C22×Q8—41no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8—41no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8—41no—
533C22×Q8—41no—
534C22×Q8C2411yescharacteristic
535C22×Q8C2411yescharacteristic
536C22×Q8C2411yescharacteristic
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—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
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4—21no—
575C23×C4—21no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4C2×D411yescharacteristic
581C23×C4C2×D411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585AGL(1,ℤ/8)—416no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—22no—
599C2×SD16—22no—
600C2×SD16—22no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—416no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—22no—
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—41no—
639C4⋊Q8—41no—
640C4⋊Q8—41no—
641C4⋊Q8—44no—
642#127—22no—
643#127—22no—
644#124—22no—
645#124—41no—
646#124—41no—
647#124—41no—
648#124—44no—
649#124—44no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—44no—
657C22⋊Q8—44no—
658C22⋊Q8—44no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—42no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—44no—
675#121—44no—
676#121—44no—
677#121—44no—
678#121—41no—
679#121—41no—
680#120—44no—
681#120—44no—
682#120—82no—
683#120—82no—
684C4×Q8—22no—
685C4×Q8—22no—
686C4×Q8—41no—
687C4×Q8—41no—
688C4×D4—22no—
689C4×D4—22no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—41no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—41no—
698C4×D4—41no—
699C4×D4—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—44no—
705C4×D4—44no—
706C4×D4—44no—
707C4×D4—82no—
708C4×D4—82no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—41no—
723C2×C4⋊C4—41no—
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2×D411yescharacteristic
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—82no—
780C2×C22⋊C4—82no—
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C22⋊C4C2×D411yescharacteristic
789C2×C22⋊C4C2×D411yescharacteristic
790C2×C22⋊C4C2×D411yescharacteristic
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—21no—
794C2×C42—41no—
795C2×C42—41no—
796C2×C42C2×D411yescharacteristic
797C2×C42C2×D411yescharacteristic
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801C2×C42C2411yescharacteristic
802#107—41no—
803#106—41no—
804#106—41no—
805#106—41no—
806C4⋊C8—41no—
807C4⋊C8—41no—
808C4⋊C8—41no—
809C4⋊C8—41no—
810#103—22no—
811#103—22no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#103—41no—
822#103—41no—
823#103—41no—
824#103—41no—
825#102—22no—
826#102—22no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841#102—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852#97—41no—
853C4×C8—41no—
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#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886#95C2×D411yescharacteristic
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—42no—
894C24—42no—
895C24—42no—
896C24—42no—
897C24—42no—
898C24—42no—
899C24—81no—
900C24—81no—
901C24—81no—
902C24—81no—
903C24—81no—
904C24—81no—
905C24—81no—
906C24—81no—
907C24C22×D411yescharacteristic
908C24C22×D411yescharacteristic
909C24C22×D411yescharacteristic
910#41—44no—
911#41—82no—
912#41—82no—
913#41—82no—
914#41—816no—
915C2×Q8—24no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—42no—
933C2×Q8—42no—
934C2×Q8—44no—
935C2×Q8—81no—
936C2×Q8—81no—
937C2×Q8—81no—
938C2×Q8—81no—
939C2×Q8—81no—
940C2×Q8—81no—
941C2×Q8—82no—
942C2×Q8—82no—
943C2×Q8—82no—
944C2×Q8—82no—
945C2×Q8—82no—
946C2×Q8—82no—
947C2×Q8—82no—
948C2×Q8H(5,𝔽2)12yes—
949C2×Q8H(5,𝔽2)12yes—
950C2×D4—24no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—24no—
955C2×D4—22no—
956C2×D4—22no—
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—21no—
978C2×D4—41no—
979C2×D4—41no—
980C2×D4—42no—
981C2×D4—41no—
982C2×D4—41no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—42no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—82no—
1010C2×D4—82no—
1011C2×D4—82no—
1012C2×D4—82no—
1013C2×D4—82no—
1014C2×D4—82no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—81no—
1022C2×D4—81no—
1023C2×D4—81no—
1024C2×D4—816no—
1025C2×D4H(5,𝔽2)12yes—
1026C2×D4H(5,𝔽2)12yes—
1027C2×D4H(5,𝔽2)12yes—
1028C22×C4—22no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—24no—
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—22no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—42no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—42no—
1069C22×C4—42no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—42no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—81no—
1076C22×C4—81no—
1077C22×C4—81no—
1078C22×C4—81no—
1079C22×C4—81no—
1080C22×C4—81no—
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×C4C22×D411yescharacteristic
1092C22×C4C22×D411yescharacteristic
1093C22×C4C22×D411yescharacteristic
1094C22×C4C22×D411yescharacteristic
1095C22×C4C22×D411yescharacteristic
1096C22×C4C22×D411yescharacteristic
1097C22×C4C22×D411yescharacteristic
1098C22×C4C22×D411yescharacteristic
1099C22×C4C22×D411yescharacteristic
1100C22×C4C22×D411yescharacteristic
1101C22×C4C22×D411yescharacteristic
1102C22×C4C2511yescharacteristic
1103SD16—44no—
1104SD16—44no—
1105SD16—44no—
1106SD16—44no—
1107SD16—44no—
1108SD16—44no—
1109SD16—44no—
1110SD16—44no—
1111SD16—82no—
1112D8—44no—
1113D8—44no—
1114D8—82no—
1115M16—44no—
1116C2×C8—21no—
1117C2×C8—21no—
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—44no—
1141C4⋊C4—22no—
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—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—42no—
1169C4⋊C4—42no—
1170C4⋊C4—42no—
1171C4⋊C4—42no—
1172C4⋊C4—42no—
1173C4⋊C4—81no—
1174C4⋊C4—81no—
1175C4⋊C4—81no—
1176C4⋊C4—81no—
1177C22⋊C4—22no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
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—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C22⋊C4—81no—
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—
1228C42—21no—
1229C42—21no—
1230C42—21no—
1231C42—21no—
1232C42—21no—
1233C42—21no—
1234C42—21no—
1235C42—21no—
1236C42—41no—
1237C42—41no—
1238C42—42no—
1239C42—42no—
1240C42—42no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—22no—
1256C23—22no—
1257C23—21no—
1258C23—22no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—84no—
1289C23—84no—
1290C23—84no—
1291C23—84no—
1292C23—84no—
1293C23—84no—
1294C23—162no—
1295C23—162no—
1296C23—162no—
1297C23—162no—
1298C23—162no—
1299C23—162no—
1300C23—162no—
1301C23—162no—
1302C23#57512yes—
1303C23#57712yes—
1304C23C23×D411yescharacteristic
1305Q8—22no—
1306Q8—22no—
1307Q8—22no—
1308Q8—22no—
1309Q8—41no—
1310Q8—41no—
1311Q8—41no—
1312Q8—41no—
1313Q8—41no—
1314Q8—41no—
1315Q8—41no—
1316Q8—41no—
1317Q8—84no—
1318Q8—84no—
1319Q8—84no—
1320D4—22no—
1321D4—22no—
1322D4—22no—
1323D4—22no—
1324D4—22no—
1325D4—22no—
1326D4—44no—
1327D4—48no—
1328D4—44no—
1329D4—41no—
1330D4—41no—
1331D4—41no—
1332D4—41no—
1333D4—41no—
1334D4—41no—
1335D4—41no—
1336D4—41no—
1337D4—41no—
1338D4—41no—
1339D4—82no—
1340D4—84no—
1341D4—84no—
1342D4—84no—
1343D4—84no—
1344D4—84no—
1345D4—84no—
1346D4—84no—
1347D4—84no—
1348D4—84no—
1349D4—84no—
1350D4—162no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—44no—
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—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
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—82no—
1433C2×C4—84no—
1434C2×C4—84no—
1435C2×C4—84no—
1436C2×C4—84no—
1437C2×C4—84no—
1438C2×C4—84no—
1439C2×C4—162no—
1440C2×C4—162no—
1441C2×C4—162no—
1442C2×C4#57712yes—
1443C2×C4C2×H(5,𝔽2)11yescharacteristic
1444C2×C4C2×H(5,𝔽2)11yescharacteristic
1445C2×C4C2×H(5,𝔽2)11yescharacteristic
1446C2×C4C2×H(5,𝔽2)11yescharacteristic
1447C2×C4C2×H(5,𝔽2)11yescharacteristic
1448C2×C4#58511yescharacteristic
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—42no—
1473C22—42no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—41no—
1482C22—41no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—41no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—168no—
1507C22—168no—
1508C22#348411yescharacteristic
1509C22#348411yescharacteristic
1510C22#348811yescharacteristic
1511C22C2×#57511yescharacteristic
1512C22C2×#57711yescharacteristic
1513C22C2×#57711yescharacteristic
1514C22#358511yescharacteristic
1515C4—22no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—42no—
1525C4—42no—
1526C4—41no—
1527C4—41no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4—81no—
1534C4—81no—
1535C4—81no—
1536C4—81no—
1537C4—81no—
1538C4#353211yescharacteristic
1539C4#353211yescharacteristic
1540C4#353411yescharacteristic
1541C4#353411yescharacteristic
1542C2—42no—
1543C2—42no—
1544C2—81no—
1545C2—82no—
1546C2—82no—
1547C2—82no—
1548C2—161no—
1549C2#4783011yescharacteristic
1550C2#6159411yescharacteristic
1551C2#6160111yescharacteristic
1552C2#6161011yescharacteristic
1553C2#6168211yescharacteristic
1554C2#6197111yescharacteristic
1555C2#6205211yescharacteristic
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. #59041C2semidirect
2. #39166C2semidirect
3. #31663C2semidirect
4. #31643C2semidirect
5. #31567C2semidirect
6. #31553C2semidirect
7. #31408C2semidirect
8. #31396C2semidirect
9. #31272C2semidirect
10. #31268C2semidirect
11. #31032C2semidirect
12. #31024C2semidirect
13. #31003C2semidirect
14. #30994C2semidirect
15. #30107C2semidirect
16. #29667C2semidirect
17. #28115C2semidirect
18. #26602C2semidirect
19. #26586C2semidirect
20. #24917C2semidirect
21. #24905C2semidirect
22. #24367C2semidirect
23. #24359C2semidirect
24. #24251C2semidirect
25. #24244C2semidirect
26. #23931C2semidirect
27. #23866C2semidirect
28. #23860C2semidirect
29. #23855C2semidirect
30. #23849C2semidirect
31. #23329C2semidirect
34. C2×D4×Q8C22semidirect
35. C2×#548C22semidirect
39. C2×#463C22semidirect
40. C2×#463C22semidirect
41. C2×#463C22semidirect
42. C2×#461C22semidirect
46. C2×#448C22semidirect
47. C2×#448C22semidirect
52. C2×#440C22semidirect
53. C2×C4×SD16C22semidirect
54. #2850C22semidirect
69. #2448C22semidirect
70. #2446C22semidirect
71. #2436C22semidirect
72. #2432C22semidirect
73. #2421C22semidirect
74. #2421C22semidirect
78. #2417C22semidirect
79. #2416C22semidirect
94. C2×#391C22semidirect
95. #2101C22semidirect
96. #2101C22semidirect
97. #2101C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
103. #2074C22semidirect
104. #2073C22semidirect
105. #2066C22semidirect
106. #2066C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
113. #2042C22semidirect
114. #2036C22semidirect
115. #2036C22semidirect
116. #2035C22semidirect
117. #2035C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
122. #2024C22semidirect
123. #2023C22semidirect
128. #2013C22semidirect
131. #2012C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1972C22semidirect
144. #1968C22semidirect
145. #1960C22semidirect
146. #1958C22semidirect
147. #1955C22semidirect
148. #1954C22semidirect
151. #1927C22semidirect
152. #1927C22semidirect
153. #1927C22semidirect
154. #1925C22semidirect
155. #1924C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
160. #1894C22semidirect
161. #1894C22semidirect
163. #1893C22semidirect
164. #1892C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
170. #1879C22semidirect
174. #1877C22semidirect
175. #1877C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
182. #1870C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1862C22semidirect
187. #1851C22semidirect
188. #1850C22semidirect
189. #1824C22semidirect
190. #1817C22semidirect
191. #1805C22semidirect
192. #1805C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
195. #1797C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect

Maximal subgroups

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

subgroupindex
#590412
#391662
#316632
#316432
#315672
#315532
#314082
#313962
#312722
#312682
#310322
#310242
#310032
#309942
#301072
#296672
#281152
#266022
#265862
#249172
#249052
#243672
#243592
#242512
#242442
#239312
#238662
#238602
#238552
#238492
#233292