Finite Group Databasebeta

← #7302934

Subgroups — #7302934

Order 512.

1985 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45303C211yesmaximal, characteristic, complemented
2#42474C211yesmaximal, characteristic, complemented
3#31650C211yesmaximal, characteristic, complemented
4#31638C211yesmaximal, characteristic, complemented
5#31566C211yesmaximal, characteristic, complemented
6#31564C211yesmaximal, characteristic, complemented
7#31413C211yesmaximal, characteristic, complemented
8#31407C211yesmaximal, characteristic, complemented
9#31278C211yesmaximal, characteristic, complemented
10#31271C211yesmaximal, characteristic, complemented
11#31047C211yesmaximal, characteristic, complemented
12#31029C211yesmaximal, characteristic, complemented
13#31012C211yesmaximal, characteristic, complemented
14#30985C211yesmaximal, characteristic, complemented
15#30123C211yesmaximal, characteristic, complemented
16#29677C211yesmaximal, characteristic, complemented
17#28130C211yesmaximal, characteristic, complemented
18#26608C211yesmaximal, characteristic, complemented
19#26596C211yesmaximal, characteristic, complemented
20#24911C211yesmaximal, characteristic, complemented
21#24898C211yesmaximal, characteristic, complemented
22#24373C211yesmaximal, characteristic, complemented
23#24368C211yesmaximal, characteristic, complemented
24#24257C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#23945C211yesmaximal, characteristic, complemented
27#23871C211yesmaximal, characteristic, complemented
28#23866C211yesmaximal, characteristic, complemented
29#23862C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23332C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C2×#548C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#542C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic, complemented
39C2×#464C2211yescharacteristic, complemented
40C2×#460C2211yescharacteristic
41C2×#463C2211yescharacteristic
42C2×#463C2211yescharacteristic, complemented
43C2×#452C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic, complemented
46C2×#448C2211yescharacteristic
47C2×#448C2211yescharacteristic, complemented
48C2×#450C2211yescharacteristic
49C2×#450C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#447C2211yescharacteristic
52C2×#442C2211yescharacteristic, complemented
53C2×C4×SD16C2211yescharacteristic
54#2812—21no—
55#2715—21no—
56#2710—21no—
57#2701—21no—
58#2700—21no—
59#2697—21no—
60#2682—21no—
61#2678—21no—
62#2672—21no—
63#2622—21no—
64#2620C2211yescharacteristic
65#2613—21no—
66#2567C2211yescharacteristic, complemented
67#2555—21no—
68#2549—21no—
69#2547C2211yescharacteristic, complemented
70#2538C2211yescharacteristic
71#2537C2211yescharacteristic, complemented
72#2466—21no—
73#2447C2211yescharacteristic
74#2445C2211yescharacteristic
75#2435C2211yescharacteristic
76#2431C2211yescharacteristic
77#2425—21no—
78#2423C2211yescharacteristic, complemented
79#2422C2211yescharacteristic
80#2422C2211yescharacteristic
81#2422C2211yescharacteristic, complemented
82#2415C2211yescharacteristic
83#2414C2211yescharacteristic
84#2409C2211yescharacteristic, complemented
85#2408C2211yescharacteristic
86#2407C2211yescharacteristic
87#2407C2211yescharacteristic
88#2405—21no—
89#2392C2211yescharacteristic
90#2367C2211yescharacteristic, complemented
91Q8×C22⋊C4C2211yescharacteristic, complemented
92#2339C2211yescharacteristic, complemented
93#2323C2211yescharacteristic, complemented
94#2309C2211yescharacteristic
95#2100C2211yescharacteristic, complemented
96#2100C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2096C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2076C2211yescharacteristic, complemented
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic, complemented
105#2067C2211yescharacteristic
106#2067C2211yescharacteristic, complemented
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic, complemented
109#2056C2211yescharacteristic, complemented
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic, complemented
112#2055C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2023C2211yescharacteristic
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic, complemented
127#2015C2211yescharacteristic, complemented
128#2014C2211yescharacteristic
129#2012C2211yescharacteristic
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#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic, complemented
143#1973C2211yescharacteristic, complemented
144#1968C2211yescharacteristic, complemented
145#1959C2211yescharacteristic
146#1957C2211yescharacteristic
147#1955C2211yescharacteristic, complemented
148#1954C2211yescharacteristic
149#1935C2211yescharacteristic, complemented
150#1933C2211yescharacteristic, complemented
151#1927C2211yescharacteristic, complemented
152#1926C2211yescharacteristic
153#1926C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1894C2211yescharacteristic, complemented
164#1894C2211yescharacteristic, complemented
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1878C2211yescharacteristic, complemented
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1873C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1851C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1818C2211yescharacteristic, complemented
191#1803C2211yescharacteristic, complemented
192#1802C2211yescharacteristic
193#1802C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×#137—42no—
210C2×#137—42no—
211C2×#137—42no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229#548—42no—
230#548—42no—
231#546—42no—
232#546—42no—
233D42—42no—
234D42—42no—
235#542—42no—
236#542—42no—
237C2×C4⋊Q8C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#126—21no—
240C2×#124—21no—
241C2×#124—21no—
242C2×#124—21no—
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
245C2×#124C2311yescharacteristic
246C2×#123—21no—
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×#123—21no—
251C2×#123—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×C4×Q8C2311yescharacteristic
274C2×C4×Q8C2311yescharacteristic
275C2×C4×Q8C2311yescharacteristic
276C2×C4×D4—21no—
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×#117C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C22×C22⋊C4—21no—
287#485—42no—
288#464—42no—
289#463—42no—
290#463—42no—
291#460—42no—
292#452—42no—
293#450—42no—
294#450—42no—
295#450—42no—
296#449—42no—
297#449—42no—
298#448—42no—
299#448—42no—
300#447—42no—
301#442—42no—
302C4×SD16—42no—
303C2×#107C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×C4⋊C8C2311yescharacteristic
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×C4×C8C2311yescharacteristic
355#399—21no—
356#398—21no—
357#398D411yescharacteristic
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397D411yescharacteristic
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#396D411yescharacteristic
372#396D411yescharacteristic
373#395—21no—
374#395—21no—
375#395—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#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394D411yescharacteristic
393#394D411yescharacteristic
394#394D411yescharacteristic
395#393—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392D411yescharacteristic
403#391—21no—
404#391—21no—
405#391—21no—
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#389—21no—
424#389—21no—
425#389—21no—
426#389—21no—
427#389—21no—
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#387—21no—
439#387—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#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#384C2311yescharacteristic
457#384C2311yescharacteristic
458#384C2311yescharacteristic
459#381—21no—
460#381—21no—
461#380—21no—
462#380—21no—
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#379—21no—
471#379—21no—
472#379—21no—
473#379—21no—
474#379—21no—
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C22⋊C4—21no—
478C4×C22⋊C4—21no—
479C4×C22⋊C4C2311yescharacteristic
480C4×C22⋊C4C2311yescharacteristic
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×Q8—21no—
523C22×Q8—21no—
524C22×Q8—22no—
525C22×Q8—22no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8—41no—
530C22×Q8C2411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×Q8C2411yescharacteristic
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—44no—
558C22×D4—82no—
559C22×D4—82no—
560C22×D4C2×D411yescharacteristic
561C22×D4C2×D411yescharacteristic
562C22×D4C2×D411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C22×D4C2411yescharacteristic
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577#137—416no—
578AGL(1,ℤ/8)—416no—
579C2×Q16—22no—
580C2×Q16—22no—
581C2×Q16—41no—
582C2×Q16—41no—
583C2×Q16—41no—
584C2×Q16—41no—
585C2×SD16—22no—
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—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×SD16—41no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C2×M16—41no—
619C2×M16—41no—
620C2×M16—41no—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C4⋊Q8—41no—
630C4⋊Q8—41no—
631#127—22no—
632#127—41no—
633#126—44no—
634#124—22no—
635#124—22no—
636#124—22no—
637#124—41no—
638#124—41no—
639#124—41no—
640#124—44no—
641#124—44no—
642#124—82no—
643#123—44no—
644#123—44no—
645#123—82no—
646#123—82no—
647#123—82no—
648#123—82no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—44no—
653C22⋊Q8—44no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658C22⋊Q8—41no—
659C22⋊Q8—41no—
660C22⋊Q8—41no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—44no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—44no—
673#121—44no—
674#121—41no—
675#121—41no—
676#121—82no—
677#120—44no—
678#120—44no—
679#120—44no—
680#120—82no—
681C4×Q8—22no—
682C4×Q8—41no—
683C4×Q8—41no—
684C4×Q8—41no—
685C4×Q8—41no—
686C4×Q8—41no—
687C4×D4—22no—
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—44no—
702#117—41no—
703#117—41no—
704#117—41no—
705#117—41no—
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—21no—
718C2×C4⋊C4—21no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2×D411yescharacteristic
727C2×C4⋊C4C2×D411yescharacteristic
728C2×C4⋊C4C2×D411yescharacteristic
729C2×C4⋊C4C2×D411yescharacteristic
730C2×C4⋊C4C2×D411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
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—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
792C2×C22⋊C4C2×D411yescharacteristic
793C2×C22⋊C4C2×D411yescharacteristic
794C2×C22⋊C4C2×D411yescharacteristic
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C42—21no—
797C2×C42—21no—
798C2×C42—21no—
799C2×C42—21no—
800C2×C42—21no—
801C2×C42C2411yescharacteristic
802C2×C42C2411yescharacteristic
803C2×C42C2411yescharacteristic
804C2×C42C2411yescharacteristic
805#107—41no—
806#106—41no—
807#106—41no—
808#106—41no—
809C4⋊C8—41no—
810C4⋊C8—41no—
811C4⋊C8—41no—
812C4⋊C8—41no—
813#103—22no—
814#103—22no—
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#103—41no—
826#102—22no—
827#102—22no—
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—
842#102—41no—
843#102—41no—
844#102—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C22⋊C8—41no—
852C22⋊C8—41no—
853C22⋊C8—41no—
854C22⋊C8—41no—
855#97—41no—
856C4×C8—41no—
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#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885#95C2×D411yescharacteristic
886C24—24no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—42no—
892C24—42no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24—81no—
901C24—81no—
902C24—81no—
903C24—81no—
904C24C22×D411yescharacteristic
905C24C22×D411yescharacteristic
906C24C22×D411yescharacteristic
907#41—44no—
908#41—44no—
909#41—82no—
910#41—82no—
911#41—82no—
912#41—82no—
913#41—82no—
914#41—82no—
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—42no—
932C2×Q8—42no—
933C2×Q8—42no—
934C2×Q8—44no—
935C2×Q8—81no—
936C2×Q8—81no—
937C2×Q8—81no—
938C2×Q8—82no—
939C2×Q8—82no—
940C2×Q8—82no—
941C2×Q8H(5,𝔽2)12yes—
942C2×Q8H(5,𝔽2)12yes—
943C2×D4—24no—
944C2×D4—22no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—21no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—44no—
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—42no—
988C2×D4—42no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—82no—
997C2×D4—82no—
998C2×D4—82no—
999C2×D4—82no—
1000C2×D4—82no—
1001C2×D4—82no—
1002C2×D4—82no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—816no—
1018C2×D4H(5,𝔽2)12yes—
1019C2×D4H(5,𝔽2)12yes—
1020C2×D4H(5,𝔽2)12yes—
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—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
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×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C22×D411yescharacteristic
1079C22×C4C22×D411yescharacteristic
1080C22×C4C22×D411yescharacteristic
1081C22×C4C22×D411yescharacteristic
1082C22×C4C22×D411yescharacteristic
1083C22×C4C2511yescharacteristic
1084Q16—44no—
1085Q16—44no—
1086SD16—44no—
1087SD16—44no—
1088SD16—44no—
1089SD16—44no—
1090SD16—44no—
1091SD16—82no—
1092SD16—82no—
1093D8—44no—
1094D8—44no—
1095D8—44no—
1096M16—44no—
1097M16—44no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—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—
1122C4⋊C4—22no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
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—
1165C22⋊C4—24no—
1166C22⋊C4—24no—
1167C22⋊C4—22no—
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—41no—
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—
1217C22⋊C4—81no—
1218C22⋊C4—81no—
1219C22⋊C4—81no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—21no—
1228C42—42no—
1229C42—42no—
1230C42—81no—
1231C42—81no—
1232C42—81no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—22no—
1243C23—21no—
1244C23—21no—
1245C23—22no—
1246C23—21no—
1247C23—22no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
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—41no—
1280C23—41no—
1281C23—41no—
1282C23—84no—
1283C23—84no—
1284C23—84no—
1285C23—84no—
1286C23—84no—
1287C23—162no—
1288C23—162no—
1289C23—162no—
1290C23—162no—
1291C23—162no—
1292C23—162no—
1293C23—162no—
1294C23—162no—
1295C23—162no—
1296C23C23×D411yescharacteristic
1297Q8—22no—
1298Q8—22no—
1299Q8—22no—
1300Q8—22no—
1301Q8—41no—
1302Q8—41no—
1303Q8—41no—
1304Q8—41no—
1305Q8—41no—
1306Q8—41no—
1307Q8—41no—
1308Q8—41no—
1309Q8—84no—
1310Q8—162no—
1311D4—22no—
1312D4—22no—
1313D4—22no—
1314D4—22no—
1315D4—22no—
1316D4—22no—
1317D4—44no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—41no—
1328D4—84no—
1329D4—84no—
1330D4—82no—
1331D4—82no—
1332D4—84no—
1333D4—84no—
1334D4—84no—
1335D4—84no—
1336D4—84no—
1337D4—84no—
1338D4—162no—
1339D4—162no—
1340D4—162no—
1341D4—162no—
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—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—22no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
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—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—84no—
1423C2×C4—84no—
1424C2×C4—84no—
1425C2×C4—84no—
1426C2×C4—162no—
1427C2×C4—162no—
1428C2×C4—162no—
1429C2×C4#57712yes—
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×C4C2×H(5,𝔽2)11yescharacteristic
1435C2×C4#58511yescharacteristic
1436C8—41no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C8—41no—
1443C8—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—42no—
1451C22—42no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—42no—
1458C22—41no—
1459C22—42no—
1460C22—42no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—42no—
1474C22—81no—
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—168no—
1495C22#348411yescharacteristic
1496C22#348411yescharacteristic
1497C22#348811yescharacteristic
1498C22C2×#57711yescharacteristic
1499C22#358511yescharacteristic
1500C22#358511yescharacteristic
1501C22#358611yescharacteristic
1502C4—22no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—42no—
1512C4—42no—
1513C4—41no—
1514C4—41no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4#353211yescharacteristic
1526C4#353211yescharacteristic
1527C4#353411yescharacteristic
1528C4#353411yescharacteristic
1529C2—81no—
1530C2—81no—
1531C2—81no—
1532C2—82no—
1533C2—82no—
1534C2—82no—
1535C2—161no—
1536C2#4783011yescharacteristic
1537C2#6161011yescharacteristic
1538C2#6164711yescharacteristic
1539C2#6165311yescharacteristic
1540C2#6169211yescharacteristic
1541C2#6204511yescharacteristic
1542C2#6209211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45303C2semidirect
2. #42474C2semidirect
3. #31650C2semidirect
4. #31638C2semidirect
5. #31566C2semidirect
6. #31564C2semidirect
7. #31413C2semidirect
8. #31407C2semidirect
9. #31278C2semidirect
10. #31271C2semidirect
11. #31047C2semidirect
12. #31029C2semidirect
13. #31012C2semidirect
14. #30985C2semidirect
15. #30123C2semidirect
16. #29677C2semidirect
17. #28130C2semidirect
18. #26608C2semidirect
19. #26596C2semidirect
20. #24911C2semidirect
21. #24898C2semidirect
22. #24373C2semidirect
23. #24368C2semidirect
24. #24257C2semidirect
25. #24240C2semidirect
26. #23945C2semidirect
27. #23871C2semidirect
28. #23866C2semidirect
29. #23862C2semidirect
30. #23860C2semidirect
31. #23332C2semidirect
32. C22×#137C22semidirect
34. C2×#548C22semidirect
37. C2×#542C22semidirect
38. C2×#485C22semidirect
39. C2×#464C22semidirect
42. C2×#463C22semidirect
43. C2×#452C22semidirect
45. C2×#449C22semidirect
47. C2×#448C22semidirect
52. C2×#442C22semidirect
66. #2567C22semidirect
69. #2547C22semidirect
71. #2537C22semidirect
78. #2423C22semidirect
81. #2422C22semidirect
84. #2409C22semidirect
90. #2367C22semidirect
91. Q8×C22⋊C4C22semidirect
92. #2339C22semidirect
93. #2323C22semidirect
95. #2100C22semidirect
96. #2100C22semidirect
97. #2099C22semidirect
98. #2096C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2076C22semidirect
103. #2072C22semidirect
104. #2071C22semidirect
106. #2067C22semidirect
107. #2066C22semidirect
108. #2065C22semidirect
109. #2056C22semidirect
111. #2055C22semidirect
112. #2055C22semidirect
113. #2042C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
119. #2034C22semidirect
120. #2024C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
126. #2015C22semidirect
127. #2015C22semidirect
130. #2012C22semidirect
131. #2012C22semidirect
133. #2001C22semidirect
134. #2001C22semidirect
135. #2001C22semidirect
139. #2000C22semidirect
142. #1999C22semidirect
143. #1973C22semidirect
144. #1968C22semidirect
147. #1955C22semidirect
149. #1935C22semidirect
150. #1933C22semidirect
151. #1927C22semidirect
153. #1926C22semidirect
154. #1925C22semidirect
155. #1924C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1894C22semidirect
164. #1894C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1878C22semidirect
175. #1878C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1873C22semidirect
182. #1870C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1865C22semidirect
186. #1864C22semidirect
187. #1851C22semidirect
188. #1851C22semidirect
189. #1825C22semidirect
190. #1818C22semidirect
191. #1803C22semidirect
193. #1802C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect

Maximal subgroups

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

subgroupindex
#453032
#424742
#316502
#316382
#315662
#315642
#314132
#314072
#312782
#312712
#310472
#310292
#310122
#309852
#301232
#296772
#281302
#266082
#265962
#249112
#248982
#243732
#243682
#242572
#242402
#239452
#238712
#238662
#238622
#238602
#233322