Finite Group Databasebeta

← #6598702

Subgroups — #6598702

Order 512.

2205 conjugacy classes of subgroups.

The subgroup lattice has 1472 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3306C211yesmaximal, characteristic, complemented
2C2×#2965C211yesmaximal, characteristic, complemented
3#36360C211yesmaximal, characteristic, complemented
4#36259C211yesmaximal, characteristic, complemented
5#33143C211yesmaximal, characteristic, complemented
6#33128C211yesmaximal, characteristic, complemented
7#33057C211yesmaximal, characteristic, complemented
8#28649C211yesmaximal, characteristic, complemented
9#28567C211yesmaximal, characteristic, complemented
10#28565C211yesmaximal, characteristic, complemented
11#28197C211yesmaximal, characteristic, complemented
12#28113C211yesmaximal, characteristic, complemented
13#28107C211yesmaximal, characteristic, complemented
14#25485C211yesmaximal, characteristic, complemented
15#25309C211yesmaximal, characteristic, complemented
16#25260C211yesmaximal, characteristic, complemented
17#25254C211yesmaximal, characteristic, complemented
18#25133C211yesmaximal, characteristic, complemented
19#25124C211yesmaximal, characteristic, complemented
20#24701C211yesmaximal, characteristic, complemented
21#24654C211yesmaximal, characteristic, complemented
22#24603C211yesmaximal, characteristic, complemented
23#24601C211yesmaximal, characteristic, complemented
24#24504C211yesmaximal, characteristic, complemented
25#24500C211yesmaximal, characteristic, complemented
26#22711C211yesmaximal, characteristic, complemented
27#22495C211yesmaximal, characteristic, complemented
28#22419C211yesmaximal, characteristic, complemented
29#21538C211yesmaximal, characteristic, complemented
30#21093C211yesmaximal, characteristic, complemented
31C2×#1934C211yesmaximal, characteristic, complemented
32C2×#547—21no—
33C2×#547C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×C4×#41C2211yescharacteristic
36#3306—28no—
37C2×#489C2211yescharacteristic
38C2×#481C2211yescharacteristic
39C2×#483C2211yescharacteristic
40C2×#476C2211yescharacteristic
41C2×#469C2211yescharacteristic
42C2×#469C2211yescharacteristic
43C2×#465C2211yescharacteristic
44C2×#463C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#447C2211yescharacteristic
47#2965—28no—
48C2×#446C2211yescharacteristic, complemented
49C2×#446C2211yescharacteristic, complemented
50C2×#442C2211yescharacteristic
51C2×#436C2211yescharacteristic, complemented
52C2×#436C2211yescharacteristic, complemented
53C2×#435C2211yescharacteristic
54C2×#435C2211yescharacteristic
55C2×#435C2211yescharacteristic
56C2×#435C2211yescharacteristic
57C2×#431C2211yescharacteristic
58C2×#431C2211yescharacteristic, complemented
59C2×#431C2211yescharacteristic, complemented
60C2×#417C2211yescharacteristic
61C2×#417C2211yescharacteristic
62C22×#102C2211yescharacteristic
63C22×#102C2211yescharacteristic
64C2×C4×M16C2211yescharacteristic, complemented
65C2×C4×M16C2211yescharacteristic, complemented
66C22×C4×C8C2211yescharacteristic
67#2857C2211yescharacteristic, complemented
68#2855C2211yescharacteristic
69#2854C2211yescharacteristic
70#2854C2211yescharacteristic
71#2854C2211yescharacteristic, complemented
72#2850C2211yescharacteristic
73#2592C2211yescharacteristic
74#2580C2211yescharacteristic
75#2546C2211yescharacteristic, complemented
76#2538C2211yescharacteristic, complemented
77#2486C2211yescharacteristic
78#2486C2211yescharacteristic, complemented
79#2476—21no—
80#2471—21no—
81#2458—21no—
82#2456—21no—
83#2429—21no—
84#2425—21no—
85#2425—21no—
86#2418—21no—
87#2417C2211yescharacteristic
88#2416C2211yescharacteristic
89#2416C2211yescharacteristic, complemented
90#2415—21no—
91#2414C2211yescharacteristic
92#2413—21no—
93#2413—21no—
94#2408C2211yescharacteristic
95#2407C2211yescharacteristic
96#2404—21no—
97#2358—21no—
98#2352C2211yescharacteristic
99D4×C4⋊C4C2211yescharacteristic
100#2342—21no—
101#2339—21no—
102C4×#121C2211yescharacteristic
103C4×#121C2211yescharacteristic, complemented
104#2297C2211yescharacteristic
105C2×#390C2211yescharacteristic
106C2×#389C2211yescharacteristic
107C2×#389C2211yescharacteristic, complemented
108#2088C2211yescharacteristic, complemented
109#2088C2211yescharacteristic, complemented
110#2088C2211yescharacteristic, complemented
111#2088C2211yescharacteristic, complemented
112#2077C2211yescharacteristic, complemented
113#2077C2211yescharacteristic, complemented
114#2068C2211yescharacteristic, complemented
115#2067C2211yescharacteristic
116#2067C2211yescharacteristic
117#2066C2211yescharacteristic, complemented
118#2066C2211yescharacteristic, complemented
119#2065C2211yescharacteristic
120#2065C2211yescharacteristic
121#2065C2211yescharacteristic
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic
125#2054C2211yescharacteristic
126#2036C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1993C2211yescharacteristic, complemented
133#1987C2211yescharacteristic, complemented
134#1983C2211yescharacteristic
135#1972C2211yescharacteristic
136#1970C2211yescharacteristic
137#1970C2211yescharacteristic
138#1968C2211yescharacteristic, complemented
139#1968C2211yescharacteristic, complemented
140#1959C2211yescharacteristic
141#1949C2211yescharacteristic, complemented
142#1948C2211yescharacteristic, complemented
143#1943C2211yescharacteristic, complemented
144#1941C2211yescharacteristic, complemented
145#1941C2211yescharacteristic, complemented
146#1941C2211yescharacteristic, complemented
147#1941C2211yescharacteristic, complemented
148#1936C2211yescharacteristic
149#1936C2211yescharacteristic
150#1936C2211yescharacteristic
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1935C2211yescharacteristic, complemented
154#1934C2211yescharacteristic
155#1934C2211yescharacteristic
156#1934C2211yescharacteristic
157#1934C2211yescharacteristic
158#1934C2211yescharacteristic
159#1934C2211yescharacteristic
160#1934C2211yescharacteristic
161#1934C2211yescharacteristic
162#1934C2211yescharacteristic
163#1934C2211yescharacteristic
164#1934C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1933C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1933C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic
172#1895C2211yescharacteristic
173#1895C2211yescharacteristic
174#1895C2211yescharacteristic, complemented
175#1895C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1893C2211yescharacteristic
179#1892C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1874C2211yescharacteristic
182#1874C2211yescharacteristic
183#1872C2211yescharacteristic
184#1854C2211yescharacteristic, complemented
185#1853C2211yescharacteristic
186#1853C2211yescharacteristic, complemented
187#1852C2211yescharacteristic
188#1836C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1823C2211yescharacteristic
191#1809C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1807C2211yescharacteristic
194#1804C2211yescharacteristic, complemented
195#1802C2211yescharacteristic
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic
198#1776C2211yescharacteristic, complemented
199#1762C2211yescharacteristic
200#1762C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C2×#340C2211yescharacteristic
204C2×#340C2211yescharacteristic
205C22×#41—21no—
206C22×#41D411yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×M16C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C23×C8C2311yescharacteristic
217C23×C8C2311yescharacteristic
218#547—24no—
219#547—24no—
220#547—48no—
221#546—24no—
222#546—24no—
223C2×C4⋊Q8—21no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#124C2311yescharacteristic
226C2×#123—21no—
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—21no—
230C2×#123—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×C22⋊Q8—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#120—21no—
249C2×#120—21no—
250C4×#41—24no—
251C4×#41—24no—
252C2×C4×Q8D411yescharacteristic
253C2×C4×Q8C2311yescharacteristic
254C2×C4×D4—21no—
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4D411yescharacteristic
258C2×C4×D4D411yescharacteristic
259C2×C4×D4D411yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×#117D411yescharacteristic
266C2×#117D411yescharacteristic
267C2×#117D411yescharacteristic
268C2×#117C2311yescharacteristic
269C22×C4⋊C4—21no—
270C22×C4⋊C4—21no—
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C22⋊C4—21no—
277C22×C22⋊C4—21no—
278C22×C22⋊C4—21no—
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282#489—24no—
283#483—24no—
284#481—24no—
285#476—24no—
286#469—24no—
287#469—24no—
288#465—24no—
289#463—24no—
290#449—24no—
291#447—24no—
292#446—24no—
293#446—24no—
294#442—24no—
295#436—24no—
296#436—24no—
297#435—24no—
298#435—24no—
299#435—24no—
300#435D418yescomplemented
301#431—24no—
302#431—24no—
303#431—24no—
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×#106C2311yescharacteristic
312C2×#106C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315C2×C4⋊C8C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319#417—24no—
320#417—24no—
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#102—24no—
329C2×#102—24no—
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×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C4×M16—24no—
356C4×M16—24no—
357C2×#97C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361C2×C4×C8—24no—
362C2×C4×C8C2311yescharacteristic
363C2×C4×C8C2311yescharacteristic
364C2×C4×C8C2311yescharacteristic
365C2×C4×C8C2311yescharacteristic
366C2×C4×C8C2311yescharacteristic
367C2×C4×C8C2311yescharacteristic
368#399—21no—
369#398—21no—
370#398—21no—
371#398—21no—
372#398—21no—
373#398—21no—
374#397—21no—
375#397—21no—
376#397—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#396—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#393—21no—
388#393—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#391—21no—
393#391—21no—
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#390—21no—
398#390—21no—
399#390—21no—
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#389—21no—
410#389—21no—
411#389—21no—
412#389—21no—
413#389—21no—
414#389—21no—
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#389C2311yescharacteristic
418#389C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#389C2311yescharacteristic
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#384C2311yescharacteristic
465#382C2311yescharacteristic
466#381—21no—
467#381—21no—
468#381—21no—
469#380—21no—
470#380—21no—
471#380—21no—
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#379—21no—
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4—21no—
484C4×C22⋊C4—21no—
485C4×C22⋊C4—21no—
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C2×#95—21no—
489C2×#95—21no—
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516C25—21no—
517C2×#41—24no—
518C2×#41—24no—
519C2×#41—22no—
520C2×#41—22no—
521C2×#41—22no—
522C2×#41—42no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—44no—
527C2×#41—44no—
528C2×#41—44no—
529C22×Q8—21no—
530C22×Q8C2×D411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×D4—22no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—22no—
541C22×D4—21no—
542C22×D4—22no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2×D411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
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×C4C2×D411yescharacteristic
561C23×C4C2×D411yescharacteristic
562C23×C4C2×D411yescharacteristic
563C23×C4C2×D411yescharacteristic
564C23×C4C2×D411yescharacteristic
565C23×C4C2×D411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C2×SD16—22no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—22no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×M16—22no—
579C2×M16—22no—
580C2×M16—22no—
581C2×M16—22no—
582C2×M16—22no—
583C2×M16—41no—
584C2×M16—41no—
585C2×M16—41no—
586C2×M16—41no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16C2×D414yes—
590C22×C8—22no—
591C22×C8—22no—
592C22×C8—41no—
593C22×C8—41no—
594C22×C8—41no—
595C22×C8C2×D414yes—
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C4⋊Q8—22no—
605C4⋊Q8—22no—
606C4⋊Q8—44no—
607#124—22no—
608#124—22no—
609#123—44no—
610#123—44no—
611#123—44no—
612#123—44no—
613#123—44no—
614#123—44no—
615#123—44no—
616#123—82no—
617C22⋊Q8—22no—
618C22⋊Q8—22no—
619C22⋊Q8—44no—
620C22⋊Q8—44no—
621C22⋊Q8—44no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624#121—22no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—41no—
633#121—41no—
634#121—44no—
635#121—44no—
636#121—44no—
637#121—41no—
638#121—41no—
639#120—44no—
640#120—44no—
641C4×Q8—24no—
642C4×Q8—22no—
643C4×Q8—22no—
644C4×D4—24no—
645C4×D4—22no—
646C4×D4—22no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—24no—
650C4×D4—24no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—22no—
655C4×D4—44no—
656C4×D4—44no—
657C4×D4—82no—
658C4×D4C2×D414yes—
659C4×D4#4114yes—
660#117—24no—
661#117—24no—
662#117—24no—
663#117—41no—
664#117—41no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
668C2×C4⋊C4—22no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—22no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
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—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4—44no—
698C2×C4⋊C4—44no—
699C2×C4⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—44no—
757C2×C22⋊C4—44no—
758C2×C22⋊C4—82no—
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C42—22no—
766C2×C42—22no—
767C2×C42—22no—
768C2×C42—22no—
769C2×C42—22no—
770C2×C42—22no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42C2×D411yescharacteristic
775C2×C42C2×D411yescharacteristic
776C2×C42C2×D411yescharacteristic
777C2×C42C2×D411yescharacteristic
778C2×C42C2×D411yescharacteristic
779C2×C42C2×D411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784#107—41no—
785#107—41no—
786#106—22no—
787#106—22no—
788#106—22no—
789#106—22no—
790#106—41no—
791#106—41no—
792#106—41no—
793C4⋊C8—22no—
794C4⋊C8—22no—
795C4⋊C8—22no—
796C4⋊C8—22no—
797C4⋊C8—22no—
798C4⋊C8C2×D414yes—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—22no—
803#103—22no—
804#103—41no—
805#103—41no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102#4114yescomplemented
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8C2×D414yes—
830C22⋊C8C2×D414yes—
831#97—22no—
832#97—22no—
833#97—22no—
834#97C2×D414yes—
835C4×C8—22no—
836C4×C8—22no—
837C4×C8—22no—
838C4×C8—22no—
839C4×C8—22no—
840C4×C8—22no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
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—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—42no—
875C24—42no—
876C24—42no—
877C24—42no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24C22×D411yescharacteristic
882C24C22×D411yescharacteristic
883C24C22×D411yescharacteristic
884#41—416no—
885#41—44no—
886#41—44no—
887#41—82no—
888#41—82no—
889#41—816no—
890C2×Q8—22no—
891C2×Q8—22no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—41no—
899C2×Q8—42no—
900C2×Q8—42no—
901C2×Q8—42no—
902C2×D4—22no—
903C2×D4—22no—
904C2×D4—22no—
905C2×D4—22no—
906C2×D4—22no—
907C2×D4—22no—
908C2×D4—22no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—44no—
927C2×D4—44no—
928C2×D4—41no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—82no—
946C2×D4—82no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4#12114yes—
956C2×D4C2×#4112yes—
957C22×C4—22no—
958C22×C4—22no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—22no—
968C22×C4—22no—
969C22×C4—22no—
970C22×C4—21no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4AGL(1,ℤ/8)14yes—
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D412yes—
1035C22×C4C22×D412yes—
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C2×#4112yes—
1040C22×C4C2×#4112yes—
1041C22×C4C2511yescharacteristic
1042SD16—82no—
1043D8—44no—
1044D8—82no—
1045M16—44no—
1046M16—44no—
1047M16—44no—
1048M16—44no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—44no—
1069C2×C8—44no—
1070C2×C8C22×D412yes—
1071C2×C8C22×D412yes—
1072C2×C8C22×D412yes—
1073C2×C8C22×D412yes—
1074C2×C8C2×#4112yes—
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4#12114yes—
1126C4⋊C4C2×#4112yes—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4#12114yes—
1171C22⋊C4#12114yes—
1172C42—22no—
1173C42—22no—
1174C42—22no—
1175C42—22no—
1176C42—22no—
1177C42—22no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—42no—
1185C42—81no—
1186C42—81no—
1187C42C22×D412yes—
1188C42C2×#4112yes—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—22no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—84no—
1228C23—84no—
1229C23—84no—
1230C23—84no—
1231C23—162no—
1232C23—162no—
1233C23—162no—
1234C23C2×#12112yes—
1235C23C2×#12112yes—
1236C23C2×AGL(1,ℤ/8)12yes—
1237C23#57512yes—
1238C23C23×D411yescharacteristic
1239Q8—44no—
1240Q8—41no—
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—84no—
1245D4—28no—
1246D4—22no—
1247D4—22no—
1248D4—44no—
1249D4—44no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—84no—
1261D4—84no—
1262D4—84no—
1263D4—84no—
1264D4—84no—
1265D4—84no—
1266D4—162no—
1267D4—162no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—28no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—22no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—44no—
1305C2×C4—44no—
1306C2×C4—44no—
1307C2×C4—44no—
1308C2×C4—44no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—84no—
1352C2×C4—84no—
1353C2×C4—84no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—84no—
1357C2×C4—162no—
1358C2×C4—162no—
1359C2×C4C2×#12112yes—
1360C2×C4C2×#12112yes—
1361C2×C4C2×#12112yes—
1362C2×C4C2×#12112yes—
1363C2×C4C2×AGL(1,ℤ/8)12yes—
1364C2×C4C2×AGL(1,ℤ/8)12yes—
1365C2×C4#57712yes—
1366C2×C4C23×D411yescharacteristic
1367C2×C4C22×#4111yescharacteristic
1368C2×C4C22×#4111yescharacteristic
1369C2×C4#58511yescharacteristic
1370C2×C4#58511yescharacteristic
1371C2×C4#58511yescharacteristic
1372C8—22no—
1373C8—22no—
1374C8—22no—
1375C8—22no—
1376C8—22no—
1377C8—41no—
1378C8—41no—
1379C8—41no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—42no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—42no—
1401C22—41no—
1402C22—42no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—168no—
1422C22#305514yes—
1423C22C22×#12111yescharacteristic
1424C22D4×#4111yescharacteristic
1425C22#350011yescharacteristic
1426C22C22×AGL(1,ℤ/8)11yescharacteristic
1427C22C2×#57511yescharacteristic
1428C22C2×#57711yescharacteristic
1429C22#358411yescharacteristic
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—42no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4D4×#4111yescharacteristic
1455C4#347511yescharacteristic
1456C4#348511yescharacteristic
1457C4#352111yescharacteristic
1458C2—24no—
1459C2—42no—
1460C2—81no—
1461C2—82no—
1462C2—161no—
1463C2—161no—
1464C2#3621811yescharacteristic
1465C2C2×#305511yescharacteristic
1466C2#6045711yescharacteristic
1467C2#6143711yescharacteristic
1468C2#6144511yescharacteristic
1469C2#6254111yescharacteristic
1470C2#6254711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3306C2semidirect
2. C2×#2965C2semidirect
3. #36360C2semidirect
4. #36259C2semidirect
5. #33143C2semidirect
6. #33128C2semidirect
7. #33057C2semidirect
8. #28649C2semidirect
9. #28567C2semidirect
10. #28565C2semidirect
11. #28197C2semidirect
12. #28113C2semidirect
13. #28107C2semidirect
14. #25485C2semidirect
15. #25309C2semidirect
16. #25260C2semidirect
17. #25254C2semidirect
18. #25133C2semidirect
19. #25124C2semidirect
20. #24701C2semidirect
21. #24654C2semidirect
22. #24603C2semidirect
23. #24601C2semidirect
24. #24504C2semidirect
25. #24500C2semidirect
26. #22711C2semidirect
27. #22495C2semidirect
28. #22419C2semidirect
29. #21538C2semidirect
30. #21093C2semidirect
31. C2×#1934C2semidirect
48. C2×#446C22semidirect
49. C2×#446C22semidirect
51. C2×#436C22semidirect
52. C2×#436C22semidirect
58. C2×#431C22semidirect
59. C2×#431C22semidirect
64. C2×C4×M16C22semidirect
65. C2×C4×M16C22semidirect
67. #2857C22semidirect
71. #2854C22semidirect
75. #2546C22semidirect
76. #2538C22semidirect
78. #2486C22semidirect
89. #2416C22semidirect
103. C4×#121C22semidirect
107. C2×#389C22semidirect
108. #2088C22semidirect
109. #2088C22semidirect
110. #2088C22semidirect
111. #2088C22semidirect
112. #2077C22semidirect
113. #2077C22semidirect
114. #2068C22semidirect
117. #2066C22semidirect
118. #2066C22semidirect
122. #2055C22semidirect
126. #2036C22semidirect
130. #2000C22semidirect
132. #1993C22semidirect
133. #1987C22semidirect
138. #1968C22semidirect
139. #1968C22semidirect
141. #1949C22semidirect
142. #1948C22semidirect
143. #1943C22semidirect
144. #1941C22semidirect
145. #1941C22semidirect
146. #1941C22semidirect
147. #1941C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1935C22semidirect
164. #1934C22semidirect
165. #1934C22semidirect
166. #1933C22semidirect
167. #1933C22semidirect
168. #1933C22semidirect
169. #1933C22semidirect
174. #1895C22semidirect
175. #1895C22semidirect
176. #1894C22semidirect
177. #1894C22semidirect
180. #1875C22semidirect
184. #1854C22semidirect
186. #1853C22semidirect
188. #1836C22semidirect
189. #1824C22semidirect
191. #1809C22semidirect
192. #1809C22semidirect
194. #1804C22semidirect
198. #1776C22semidirect
200. #1762C22semidirect
201. #1736C22semidirect
202. #1736C22semidirect
300. #435D4semidirect
824. #102#41semidirect

Maximal subgroups

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

subgroupindex
C2×#33062
C2×#29652
#363602
#362592
#331432
#331282
#330572
#286492
#285672
#285652
#281972
#281132
#281072
#254852
#253092
#252602
#252542
#251332
#251242
#247012
#246542
#246032
#246012
#245042
#245002
#227112
#224952
#224192
#215382
#210932
C2×#19342