Finite Group Databasebeta

← #7202327

Subgroups — #7202327

Order 512.

2031 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45616C211yesmaximal, characteristic, complemented
2#36214C211yesmaximal, characteristic, complemented
3#33009C211yesmaximal, characteristic, complemented
4#32908C211yesmaximal, characteristic, complemented
5#32763C211yesmaximal, characteristic, complemented
6#32728C211yesmaximal, characteristic, complemented
7#32179C211yesmaximal, characteristic, complemented
8#31855C211yesmaximal, characteristic, complemented
9#31736C211yesmaximal, characteristic, complemented
10#31511C211yesmaximal, characteristic, complemented
11#31412C211yesmaximal, characteristic, complemented
12#31408C211yesmaximal, characteristic, complemented
13#31041C211yesmaximal, characteristic, complemented
14#30859C211yesmaximal, characteristic, complemented
15#30756C211yesmaximal, characteristic, complemented
16#30723C211yesmaximal, characteristic, complemented
17#30470C211yesmaximal, characteristic, complemented
18#30414C211yesmaximal, characteristic, complemented
19#27581C211yesmaximal, characteristic, complemented
20#27536C211yesmaximal, characteristic, complemented
21#26186C211yesmaximal, characteristic, complemented
22#25769C211yesmaximal, characteristic, complemented
23#25178C211yesmaximal, characteristic, complemented
24#24545C211yesmaximal, characteristic, complemented
25#24452C211yesmaximal, characteristic, complemented
26#24444C211yesmaximal, characteristic, complemented
27#24367C211yesmaximal, characteristic, complemented
28#24252C211yesmaximal, characteristic, complemented
29#23863C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23334C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C2×#497C2211yescharacteristic, complemented
38C2×#484C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic, complemented
40C2×#468C2211yescharacteristic, complemented
41C2×#460C2211yescharacteristic
42C2×#463C2211yescharacteristic
43C2×#463C2211yescharacteristic, complemented
44C2×#461C2211yescharacteristic
45C2×#452C2211yescharacteristic
46C2×#452C2211yescharacteristic
47C2×#452C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#450C2211yescharacteristic
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×#440C2211yescharacteristic
55C2×#417C2211yescharacteristic
56#2855C2211yescharacteristic, complemented
57#2850C2211yescharacteristic
58#2850C2211yescharacteristic, complemented
59#2847—21no—
60#2826—21no—
61#2795—21no—
62#2790—21no—
63#2752—21no—
64#2746—21no—
65#2746—21no—
66#2699—21no—
67#2544C2211yescharacteristic
68#2543—21no—
69#2542C2211yescharacteristic, complemented
70#2536C2211yescharacteristic
71#2535C2211yescharacteristic
72#2534—21no—
73#2513C2211yescharacteristic, complemented
74#2503C2211yescharacteristic, complemented
75#2494C2211yescharacteristic, complemented
76#2446C2211yescharacteristic, complemented
77#2432C2211yescharacteristic, complemented
78#2428C2211yescharacteristic
79#2427C2211yescharacteristic
80#2426C2211yescharacteristic, complemented
81#2425—21no—
82#2424—21no—
83#2417C2211yescharacteristic
84#2417C2211yescharacteristic, complemented
85#2416C2211yescharacteristic
86#2416C2211yescharacteristic, complemented
87#2412—21no—
88#2410—21no—
89#2407C2211yescharacteristic
90#2407C2211yescharacteristic, complemented
91#2377—21no—
92#2349C2211yescharacteristic
93#2339C2211yescharacteristic
94D4×C22⋊C4C2211yescharacteristic
95C4×#121C2211yescharacteristic
96C2×#386—21no—
97#2101C2211yescharacteristic, complemented
98#2101C2211yescharacteristic, complemented
99#2097C2211yescharacteristic, complemented
100#2087C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2074C2211yescharacteristic, complemented
104#2074C2211yescharacteristic, complemented
105#2074C2211yescharacteristic, complemented
106#2073C2211yescharacteristic, complemented
107#2073C2211yescharacteristic, complemented
108#2068C2211yescharacteristic, complemented
109#2067C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2056C2211yescharacteristic, complemented
112#2056C2211yescharacteristic, complemented
113#2055C2211yescharacteristic, complemented
114#2054C2211yescharacteristic, complemented
115#2043C2211yescharacteristic, complemented
116#2042C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic, complemented
124#2015C2211yescharacteristic, complemented
125#2015C2211yescharacteristic, complemented
126#2015C2211yescharacteristic, complemented
127#2014C2211yescharacteristic
128#2013C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2011C2211yescharacteristic
133#2001C2211yescharacteristic, complemented
134#2001C2211yescharacteristic, complemented
135#2001C2211yescharacteristic, complemented
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1973C2211yescharacteristic, complemented
147#1961C2211yescharacteristic
148#1955C2211yescharacteristic
149#1955C2211yescharacteristic, complemented
150#1936C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1925C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1918C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1917C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1894C2211yescharacteristic, complemented
161#1894C2211yescharacteristic, complemented
162#1894C2211yescharacteristic, complemented
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1879C2211yescharacteristic, complemented
167#1878C2211yescharacteristic, complemented
168#1877C2211yescharacteristic
169#1877C2211yescharacteristic
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1872C2211yescharacteristic, complemented
179#1870C2211yescharacteristic
180#1870C2211yescharacteristic, complemented
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic
185#1862C2211yescharacteristic
186#1862C2211yescharacteristic
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1804C2211yescharacteristic
195#1804C2211yescharacteristic
196#1804C2211yescharacteristic, complemented
197#1797C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1762C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C24×C4—21no—
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226#546—42no—
227#546—42no—
228#546—42no—
229#546—42no—
230D42—42no—
231D42—42no—
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#123—21no—
238C2×#123—21no—
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121D411yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×C4×Q8C2311yescharacteristic
264C2×C4×D4—21no—
265C2×C4×D4—21no—
266C2×C4×D4—42no—
267C2×C4×D4—42no—
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282C22×C22⋊C4—21no—
283C22×C42C2311yescharacteristic
284#497—42no—
285#484—42no—
286#469—42no—
287#468—42no—
288#463—42no—
289#463—42no—
290#461—42no—
291#460—42no—
292#452—42no—
293#452—42no—
294#452—42no—
295#450—42no—
296#450—42no—
297#450—42no—
298#449—42no—
299#449—42no—
300#447—42no—
301#440—42no—
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310#417—42no—
311C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
354C2×#97C2311yescharacteristic
355#401—21no—
356#400—21no—
357#400—21no—
358#400—21no—
359#399—21no—
360#399—21no—
361#398—21no—
362#398—21no—
363#398—21no—
364#398—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#396—21no—
371#396—21no—
372#396—21no—
373#396—21no—
374#396—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#390—21no—
398#390—21no—
399#390D411yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#389D411yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#388—21no—
412#388—21no—
413#388—21no—
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#387—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#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#385—21no—
455#385—21no—
456#385—21no—
457#384—21no—
458#382C2311yescharacteristic
459#382C2311yescharacteristic
460#382C2311yescharacteristic
461#381—21no—
462#381—21no—
463#381—21no—
464#381—21no—
465#380—21no—
466#380—21no—
467#380—21no—
468#380—21no—
469#380D411yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#379—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
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—22no—
512C2×#41—22no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
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—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—44no—
550C22×D4—44no—
551C22×D4—82no—
552C22×D4C2×D411yescharacteristic
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2411yescharacteristic
556C22×D4C2411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C23×C4—21no—
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—44no—
570C23×C4—82no—
571C23×C4—82no—
572C23×C4C2×D411yescharacteristic
573C23×C4C2×D411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577AGL(1,ℤ/8)—416no—
578C2×Q16—41no—
579C2×Q16—41no—
580C2×Q16—41no—
581C2×Q16—41no—
582C2×Q16—41no—
583C2×Q16—41no—
584C2×SD16—22no—
585C2×SD16—22no—
586C2×SD16—22no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×D8—22no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×M16—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16—41no—
619C2×M16—41no—
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C4⋊Q8—41no—
629C4⋊Q8—41no—
630#127—22no—
631#127—41no—
632#124—22no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—41no—
638#123—44no—
639#123—44no—
640C22⋊Q8—22no—
641C22⋊Q8—41no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—42no—
663#121—44no—
664#121—44no—
665#121—44no—
666#121—44no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—82no—
672#121—82no—
673#120—44no—
674#120—44no—
675#120—44no—
676#120—44no—
677C4×Q8—41no—
678C4×Q8—41no—
679C4×D4—22no—
680C4×D4—22no—
681C4×D4—22no—
682C4×D4—22no—
683C4×D4—22no—
684C4×D4—22no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—41no—
692C4×D4—41no—
693C4×D4—41no—
694C4×D4—41no—
695C4×D4—41no—
696C4×D4—41no—
697C4×D4—44no—
698C4×D4—44no—
699C2×C4⋊C4—22no—
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—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—21no—
713C2×C4⋊C4—21no—
714C2×C4⋊C4—21no—
715C2×C4⋊C4—21no—
716C2×C4⋊C4—21no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—44no—
775C2×C22⋊C4—44no—
776C2×C22⋊C4—44no—
777C2×C22⋊C4—82no—
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C22⋊C4C2×D411yescharacteristic
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—41no—
791C2×C42—41no—
792C2×C42C2×D411yescharacteristic
793C2×C42C2×D411yescharacteristic
794C2×C42C2411yescharacteristic
795C2×C42C2411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798#107—22no—
799#107—41no—
800#107—41no—
801#106—41no—
802C4⋊C8—41no—
803C4⋊C8—41no—
804C4⋊C8—41no—
805C4⋊C8—41no—
806#103—22no—
807#103—22no—
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#103—41no—
818#103—41no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848#97—41no—
849#97—41no—
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#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885C24—21no—
886C24—24no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—42no—
891C24—42no—
892C24—42no—
893C24—42no—
894C24—42no—
895C24—42no—
896C24—42no—
897C24—42no—
898C24—81no—
899C24—81no—
900C24—81no—
901C24—81no—
902C24—81no—
903C24C22×D411yescharacteristic
904C24C22×D411yescharacteristic
905C24C22×D411yescharacteristic
906#41—44no—
907#41—44no—
908#41—82no—
909#41—82no—
910#41—82no—
911#41—82no—
912#41—82no—
913#41—82no—
914C2×Q8—21no—
915C2×Q8—21no—
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×D4—24no—
933C2×D4—22no—
934C2×D4—22no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—41no—
963C2×D4—41no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—44no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—82no—
991C2×D4—82no—
992C2×D4—82no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—816no—
1006C2×D4H(5,𝔽2)12yes—
1007C2×D4H(5,𝔽2)12yes—
1008C2×D4H(5,𝔽2)12yes—
1009C2×D4H(5,𝔽2)12yes—
1010C22×C4—21no—
1011C22×C4—24no—
1012C22×C4—22no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
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—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—42no—
1048C22×C4—42no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—42no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4—81no—
1070C22×C4—81no—
1071C22×C4—81no—
1072C22×C4—81no—
1073C22×C4—81no—
1074C22×C4—81no—
1075C22×C4—81no—
1076C22×C4—816no—
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C22×D411yescharacteristic
1084C22×C4C22×D411yescharacteristic
1085C22×C4C22×D411yescharacteristic
1086C22×C4C22×D411yescharacteristic
1087C22×C4C22×D411yescharacteristic
1088C22×C4C2511yescharacteristic
1089Q16—82no—
1090Q16—82no—
1091SD16—44no—
1092SD16—44no—
1093SD16—44no—
1094SD16—82no—
1095SD16—82no—
1096SD16—82no—
1097SD16—82no—
1098D8—44no—
1099D8—44no—
1100D8—82no—
1101M16—44no—
1102M16—82no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
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—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—81no—
1154C4⋊C4—81no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4H(5,𝔽2)12yes—
1167C22⋊C4—24no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
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—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—41no—
1226C42—41no—
1227C42—81no—
1228C42—81no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—22no—
1233C23—21no—
1234C23—22no—
1235C23—21no—
1236C23—21no—
1237C23—22no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—22no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—48no—
1254C23—48no—
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—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—84no—
1280C23—84no—
1281C23—84no—
1282C23—84no—
1283C23—84no—
1284C23—84no—
1285C23—84no—
1286C23—84no—
1287C23—84no—
1288C23—162no—
1289C23—162no—
1290C23—162no—
1291C23#57512yes—
1292C23C23×D411yescharacteristic
1293Q8—41no—
1294Q8—41no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—41no—
1302Q8—41no—
1303Q8—41no—
1304Q8—41no—
1305D4—22no—
1306D4—22no—
1307D4—22no—
1308D4—22no—
1309D4—22no—
1310D4—48no—
1311D4—44no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—82no—
1323D4—84no—
1324D4—82no—
1325D4—84no—
1326D4—84no—
1327D4—84no—
1328D4—84no—
1329D4—84no—
1330D4—162no—
1331D4—162no—
1332D4—162no—
1333D4—162no—
1334D4—162no—
1335D4#56014yes—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
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—21no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—44no—
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—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—82no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—84no—
1422C2×C4—84no—
1423C2×C4—84no—
1424C2×C4—84no—
1425C2×C4—84no—
1426C2×C4—84no—
1427C2×C4—162no—
1428C2×C4—162no—
1429C2×C4C2×H(5,𝔽2)11yescharacteristic
1430C2×C4C2×H(5,𝔽2)11yescharacteristic
1431C2×C4C2×H(5,𝔽2)11yescharacteristic
1432C2×C4C2×H(5,𝔽2)11yescharacteristic
1433C2×C4C2×H(5,𝔽2)11yescharacteristic
1434C2×C4#58511yescharacteristic
1435C8—41no—
1436C8—41no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C8—41no—
1443C22—22no—
1444C22—24no—
1445C22—22no—
1446C22—22no—
1447C22—42no—
1448C22—41no—
1449C22—41no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—41no—
1454C22—42no—
1455C22—42no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—42no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—42no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—42no—
1473C22—41no—
1474C22—816no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—168no—
1494C22#348411yescharacteristic
1495C22#348411yescharacteristic
1496C22#348811yescharacteristic
1497C22C2×#57511yescharacteristic
1498C22#358511yescharacteristic
1499C22#358511yescharacteristic
1500C22#358611yescharacteristic
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—42no—
1511C4—41no—
1512C4—41no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4C2×#56011yescharacteristic
1525C4#353411yescharacteristic
1526C4#353711yescharacteristic
1527C4#354211yescharacteristic
1528C2—42no—
1529C2—44no—
1530C2—81no—
1531C2—81no—
1532C2—82no—
1533C2—161no—
1534C2—161no—
1535C2#4544411yescharacteristic
1536C2#6158011yescharacteristic
1537C2#6158111yescharacteristic
1538C2#6164311yescharacteristic
1539C2#6167011yescharacteristic
1540C2#6197111yescharacteristic
1541C2#6208411yescharacteristic
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. #45616C2semidirect
2. #36214C2semidirect
3. #33009C2semidirect
4. #32908C2semidirect
5. #32763C2semidirect
6. #32728C2semidirect
7. #32179C2semidirect
8. #31855C2semidirect
9. #31736C2semidirect
10. #31511C2semidirect
11. #31412C2semidirect
12. #31408C2semidirect
13. #31041C2semidirect
14. #30859C2semidirect
15. #30756C2semidirect
16. #30723C2semidirect
17. #30470C2semidirect
18. #30414C2semidirect
19. #27581C2semidirect
20. #27536C2semidirect
21. #26186C2semidirect
22. #25769C2semidirect
23. #25178C2semidirect
24. #24545C2semidirect
25. #24452C2semidirect
26. #24444C2semidirect
27. #24367C2semidirect
28. #24252C2semidirect
29. #23863C2semidirect
30. #23860C2semidirect
31. #23334C2semidirect
37. C2×#497C22semidirect
38. C2×#484C22semidirect
39. C2×#469C22semidirect
40. C2×#468C22semidirect
43. C2×#463C22semidirect
47. C2×#452C22semidirect
56. #2855C22semidirect
58. #2850C22semidirect
69. #2542C22semidirect
73. #2513C22semidirect
74. #2503C22semidirect
75. #2494C22semidirect
76. #2446C22semidirect
77. #2432C22semidirect
80. #2426C22semidirect
84. #2417C22semidirect
86. #2416C22semidirect
90. #2407C22semidirect
97. #2101C22semidirect
98. #2101C22semidirect
99. #2097C22semidirect
100. #2087C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
103. #2074C22semidirect
104. #2074C22semidirect
105. #2074C22semidirect
106. #2073C22semidirect
107. #2073C22semidirect
108. #2068C22semidirect
109. #2067C22semidirect
110. #2065C22semidirect
111. #2056C22semidirect
112. #2056C22semidirect
113. #2055C22semidirect
114. #2054C22semidirect
115. #2043C22semidirect
116. #2042C22semidirect
117. #2042C22semidirect
118. #2036C22semidirect
119. #2036C22semidirect
120. #2035C22semidirect
123. #2033C22semidirect
124. #2015C22semidirect
125. #2015C22semidirect
126. #2015C22semidirect
128. #2013C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
131. #2012C22semidirect
133. #2001C22semidirect
134. #2001C22semidirect
135. #2001C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
144. #1999C22semidirect
145. #1983C22semidirect
146. #1973C22semidirect
149. #1955C22semidirect
150. #1936C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1925C22semidirect
154. #1924C22semidirect
155. #1924C22semidirect
156. #1918C22semidirect
157. #1917C22semidirect
158. #1917C22semidirect
160. #1894C22semidirect
161. #1894C22semidirect
162. #1894C22semidirect
166. #1879C22semidirect
167. #1878C22semidirect
172. #1877C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
175. #1874C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1872C22semidirect
180. #1870C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1865C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1851C22semidirect
191. #1824C22semidirect
192. #1824C22semidirect
193. #1817C22semidirect
196. #1804C22semidirect
197. #1797C22semidirect
198. #1788C22semidirect

Maximal subgroups

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

subgroupindex
#456162
#362142
#330092
#329082
#327632
#327282
#321792
#318552
#317362
#315112
#314122
#314082
#310412
#308592
#307562
#307232
#304702
#304142
#275812
#275362
#261862
#257692
#251782
#245452
#244522
#244442
#243672
#242522
#238632
#238602
#233342