Finite Group Databasebeta

← #7302729

Subgroups — #7302729

Order 512.

2017 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59043C211yesmaximal, characteristic, complemented
2#38949C211yesmaximal, characteristic, complemented
3#31642C211yesmaximal, characteristic, complemented
4#31637C211yesmaximal, characteristic, complemented
5#31567C211yesmaximal, characteristic, complemented
6#31561C211yesmaximal, characteristic, complemented
7#31406C211yesmaximal, characteristic, complemented
8#31398C211yesmaximal, characteristic, complemented
9#31276C211yesmaximal, characteristic, complemented
10#31275C211yesmaximal, characteristic, complemented
11#31027C211yesmaximal, characteristic, complemented
12#31025C211yesmaximal, characteristic, complemented
13#30996C211yesmaximal, characteristic, complemented
14#30985C211yesmaximal, characteristic, complemented
15#30114C211yesmaximal, characteristic, complemented
16#29666C211yesmaximal, characteristic, complemented
17#28120C211yesmaximal, characteristic, complemented
18#26596C211yesmaximal, characteristic, complemented
19#26593C211yesmaximal, characteristic, complemented
20#24895C211yesmaximal, characteristic, complemented
21#24894C211yesmaximal, characteristic, complemented
22#24373C211yesmaximal, characteristic, complemented
23#24368C211yesmaximal, characteristic, complemented
24#24245C211yesmaximal, characteristic, complemented
25#24240C211yesmaximal, characteristic, complemented
26#23936C211yesmaximal, characteristic, complemented
27#23871C211yesmaximal, characteristic, complemented
28#23866C211yesmaximal, characteristic, complemented
29#23862C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23327C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C2×#548C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#529C2211yescharacteristic, complemented
38C2×#483C2211yescharacteristic, 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×C4×SD16C2211yescharacteristic
53C2×C4×D8C2211yescharacteristic, complemented
54#2850C2211yescharacteristic
55#2701—21no—
56#2699—21no—
57#2697—21no—
58#2691—21no—
59#2689—21no—
60#2678—21no—
61#2617—21no—
62#2565C2211yescharacteristic, complemented
63#2562C2211yescharacteristic, complemented
64#2557—21no—
65#2538C2211yescharacteristic
66#2535C2211yescharacteristic, complemented
67#2474—21no—
68#2464—21no—
69#2457—21no—
70#2450—21no—
71#2447C2211yescharacteristic
72#2445C2211yescharacteristic
73#2435C2211yescharacteristic
74#2431C2211yescharacteristic
75#2422C2211yescharacteristic, complemented
76#2421C2211yescharacteristic, complemented
77#2420C2211yescharacteristic
78#2420C2211yescharacteristic
79#2417C2211yescharacteristic
80#2416C2211yescharacteristic
81#2412—21no—
82#2410—21no—
83#2409C2211yescharacteristic, complemented
84#2408C2211yescharacteristic
85#2407C2211yescharacteristic
86#2407C2211yescharacteristic
87#2367C2211yescharacteristic, complemented
88#2359—21no—
89Q8×C22⋊C4C2211yescharacteristic, complemented
90#2339C2211yescharacteristic, complemented
91#2308—21no—
92C4×C22⋊Q8C2211yescharacteristic, complemented
93C4×#121C2211yescharacteristic
94C2×#390C2211yescharacteristic
95#2101C2211yescharacteristic, complemented
96#2101C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2097C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2073C2211yescharacteristic, complemented
104#2072C2211yescharacteristic, complemented
105#2066C2211yescharacteristic, complemented
106#2065C2211yescharacteristic
107#2065C2211yescharacteristic, 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, complemented
119#2033C2211yescharacteristic
120#2026C2211yescharacteristic, complemented
121#2025C2211yescharacteristic
122#2025C2211yescharacteristic, complemented
123#2025C2211yescharacteristic, 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#1968C2211yescharacteristic, complemented
144#1968C2211yescharacteristic, complemented
145#1958C2211yescharacteristic
146#1957C2211yescharacteristic
147#1954C2211yescharacteristic
148#1954C2211yescharacteristic, complemented
149#1933C2211yescharacteristic, complemented
150#1933C2211yescharacteristic, complemented
151#1927C2211yescharacteristic, complemented
152#1926C2211yescharacteristic
153#1926C2211yescharacteristic, complemented
154#1925C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1916C2211yescharacteristic, 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#1874C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1851C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1817C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1802C2211yescharacteristic
195#1797C2211yescharacteristic, 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—
235C2×#127C2311yescharacteristic
236#529—42no—
237#529—42no—
238C2×#126—21no—
239C2×#125C2311yescharacteristic
240C2×#124—21no—
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121D411yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#120—21no—
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×C4×Q8C2311yescharacteristic
270C2×C4×Q8C2311yescharacteristic
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×#117—21no—
282C22×C4⋊C4C2311yescharacteristic
283C22×C22⋊C4—21no—
284C22×C22⋊C4—21no—
285C22×C22⋊C4—21no—
286C22×C42C2311yescharacteristic
287#483—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—
301C4×SD16—42no—
302C4×D8—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×C4×C8C2311yescharacteristic
354C2×C4×C8C2311yescharacteristic
355#400—21no—
356#400—21no—
357#398—21no—
358#398—21no—
359#398—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#395—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#393—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#391—21no—
392#391—21no—
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#390—21no—
400#390—21no—
401#390—21no—
402#390D411yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#389—21no—
411#389D411yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388D411yescharacteristic
423#388D411yescharacteristic
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#386D411yescharacteristic
445#386D411yescharacteristic
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#384C2311yescharacteristic
454#382C2311yescharacteristic
455#382C2311yescharacteristic
456#381—21no—
457#381—21no—
458#381—21no—
459#381—21no—
460#380—21no—
461#380—21no—
462#380D411yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#379—21no—
471#379—21no—
472#379—21no—
473C4×C4⋊C4—21no—
474C4×C4⋊C4C2311yescharacteristic
475C4×C4⋊C4C2311yescharacteristic
476C4×C22⋊C4—21no—
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—22no—
524C22×Q8—22no—
525C22×Q8—41no—
526C22×Q8—41no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
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—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—41no—
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—44no—
557C22×D4—44no—
558C22×D4—82no—
559C22×D4C2×D411yescharacteristic
560C22×D4C2×D411yescharacteristic
561C22×D4C2×D411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C23×C4—21no—
567C23×C4—21no—
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4C2×D411yescharacteristic
575C23×C4C2×D411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579#137—416no—
580AGL(1,ℤ/8)—416no—
581C2×Q16—22no—
582C2×Q16—22no—
583C2×Q16—41no—
584C2×Q16—41no—
585C2×Q16—41no—
586C2×Q16—41no—
587C2×SD16—22no—
588C2×SD16—22no—
589C2×SD16—22no—
590C2×SD16—22no—
591C2×SD16—22no—
592C2×SD16—22no—
593C2×SD16—22no—
594C2×SD16—22no—
595C2×SD16—22no—
596C2×SD16—22no—
597C2×SD16—22no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×SD16—41no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×D8—22no—
609C2×D8—22no—
610C2×D8—22no—
611C2×D8—22no—
612C2×D8—22no—
613C2×D8—41no—
614C2×D8—41no—
615C2×D8—41no—
616C2×D8—41no—
617C2×M16—41no—
618C2×M16—41no—
619C2×M16—41no—
620C2×M16—41no—
621C2×M16—41no—
622C2×M16—41no—
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631#127—22no—
632#127—41no—
633#126—44no—
634#125—41no—
635#125—41no—
636#124—22no—
637#124—22no—
638#124—22no—
639#124—41no—
640#124—41no—
641#124—41no—
642#124—44no—
643#123—44no—
644#123—44no—
645#123—44no—
646#123—82no—
647C22⋊Q8—22no—
648C22⋊Q8—22no—
649C22⋊Q8—22no—
650C22⋊Q8—44no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—42no—
663#121—44no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—44no—
671#121—44no—
672#121—41no—
673#121—41no—
674#121—82no—
675#120—44no—
676#120—44no—
677#120—44no—
678#120—82no—
679C4×Q8—22no—
680C4×Q8—41no—
681C4×Q8—41no—
682C4×Q8—41no—
683C4×Q8—41no—
684C4×Q8—41no—
685C4×D4—22no—
686C4×D4—22no—
687C4×D4—22no—
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—41no—
698C4×D4—41no—
699C4×D4—44no—
700C4×D4—44no—
701#117—44no—
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—21no—
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—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—44no—
777C2×C22⋊C4—82no—
778C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—21no—
793C2×C42—41no—
794C2×C42—41no—
795C2×C42C2×D411yescharacteristic
796C2×C42C2×D411yescharacteristic
797C2×C42C2411yescharacteristic
798C2×C42C2411yescharacteristic
799C2×C42C2411yescharacteristic
800C2×C42C2411yescharacteristic
801#107—41no—
802#106—41no—
803#106—41no—
804#106—41no—
805C4⋊C8—41no—
806C4⋊C8—41no—
807C4⋊C8—41no—
808C4⋊C8—41no—
809#103—22no—
810#103—22no—
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#103—41no—
820#103—41no—
821#103—41no—
822#102—22no—
823#102—22no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835#102—41no—
836#102—41no—
837#102—41no—
838#102—41no—
839#102—41no—
840#102—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848C22⋊C8—41no—
849C22⋊C8—41no—
850C22⋊C8—41no—
851C4×C8—41no—
852C4×C8—41no—
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#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—42no—
894C24—42no—
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—44no—
934C2×Q8—81no—
935C2×Q8—82no—
936C2×Q8—82no—
937C2×Q8—82no—
938C2×Q8H(5,𝔽2)12yes—
939C2×Q8H(5,𝔽2)12yes—
940C2×D4—22no—
941C2×D4—24no—
942C2×D4—22no—
943C2×D4—22no—
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—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—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
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—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—816no—
1015C2×D4H(5,𝔽2)12yes—
1016C2×D4H(5,𝔽2)12yes—
1017C2×D4H(5,𝔽2)12yes—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—22no—
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—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—42no—
1058C22×C4—42no—
1059C22×C4—42no—
1060C22×C4—42no—
1061C22×C4—42no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—42no—
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—81no—
1077C22×C4—81no—
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×C4C22×D411yescharacteristic
1089C22×C4C2511yescharacteristic
1090Q16—44no—
1091Q16—44no—
1092SD16—44no—
1093SD16—44no—
1094SD16—44no—
1095SD16—44no—
1096SD16—44no—
1097SD16—82no—
1098SD16—82no—
1099D8—44no—
1100D8—44no—
1101D8—44no—
1102M16—44no—
1103M16—44no—
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—
1127C2×C8—21no—
1128C4⋊C4—22no—
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—21no—
1145C4⋊C4—21no—
1146C4⋊C4—21no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C22⋊C4—24no—
1168C22⋊C4—24no—
1169C22⋊C4—22no—
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—42no—
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—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—21no—
1226C42—21no—
1227C42—41no—
1228C42—41no—
1229C42—42no—
1230C42—42no—
1231C42—81no—
1232C42—81no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—22no—
1244C23—22no—
1245C23—21no—
1246C23—22no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—48no—
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—162no—
1287C23—162no—
1288C23—162no—
1289C23—162no—
1290C23—162no—
1291C23—162no—
1292C23—162no—
1293C23—162no—
1294C23—162no—
1295C23#57712yes—
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—
1310D4—22no—
1311D4—22no—
1312D4—22no—
1313D4—22no—
1314D4—22no—
1315D4—22no—
1316D4—44no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—41no—
1326D4—41no—
1327D4—84no—
1328D4—82no—
1329D4—84no—
1330D4—82no—
1331D4—84no—
1332D4—84no—
1333D4—84no—
1334D4—84no—
1335D4—84no—
1336D4—84no—
1337D4—84no—
1338D4—162no—
1339D4—162no—
1340D4—162no—
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—21no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—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—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—84no—
1422C2×C4—82no—
1423C2×C4—82no—
1424C2×C4—84no—
1425C2×C4—84no—
1426C2×C4—84no—
1427C2×C4—84no—
1428C2×C4—162no—
1429C2×C4—162no—
1430C2×C4—162no—
1431C2×C4#57512yes—
1432C2×C4C2×H(5,𝔽2)11yescharacteristic
1433C2×C4C2×H(5,𝔽2)11yescharacteristic
1434C2×C4C2×H(5,𝔽2)11yescharacteristic
1435C2×C4C2×H(5,𝔽2)11yescharacteristic
1436C2×C4C2×H(5,𝔽2)11yescharacteristic
1437C2×C4#58511yescharacteristic
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C8—41no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—42no—
1458C22—41no—
1459C22—41no—
1460C22—42no—
1461C22—41no—
1462C22—42no—
1463C22—41no—
1464C22—42no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—41no—
1474C22—42no—
1475C22—41no—
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—81no—
1494C22—81no—
1495C22—168no—
1496C22—168no—
1497C22#348411yescharacteristic
1498C22#348411yescharacteristic
1499C22#348811yescharacteristic
1500C22C2×#57511yescharacteristic
1501C22C2×#57711yescharacteristic
1502C22#358411yescharacteristic
1503C22#358511yescharacteristic
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—42no—
1514C4—42no—
1515C4—41no—
1516C4—41no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4#353211yescharacteristic
1528C4#353211yescharacteristic
1529C4#353411yescharacteristic
1530C4#353411yescharacteristic
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2—82no—
1535C2—82no—
1536C2—82no—
1537C2—161no—
1538C2#4783011yescharacteristic
1539C2#6159011yescharacteristic
1540C2#6160111yescharacteristic
1541C2#6164111yescharacteristic
1542C2#6167811yescharacteristic
1543C2#6200611yescharacteristic
1544C2#6200911yescharacteristic
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. #59043C2semidirect
2. #38949C2semidirect
3. #31642C2semidirect
4. #31637C2semidirect
5. #31567C2semidirect
6. #31561C2semidirect
7. #31406C2semidirect
8. #31398C2semidirect
9. #31276C2semidirect
10. #31275C2semidirect
11. #31027C2semidirect
12. #31025C2semidirect
13. #30996C2semidirect
14. #30985C2semidirect
15. #30114C2semidirect
16. #29666C2semidirect
17. #28120C2semidirect
18. #26596C2semidirect
19. #26593C2semidirect
20. #24895C2semidirect
21. #24894C2semidirect
22. #24373C2semidirect
23. #24368C2semidirect
24. #24245C2semidirect
25. #24240C2semidirect
26. #23936C2semidirect
27. #23871C2semidirect
28. #23866C2semidirect
29. #23862C2semidirect
30. #23860C2semidirect
31. #23327C2semidirect
32. C22×#137C22semidirect
34. C2×#548C22semidirect
37. C2×#529C22semidirect
38. C2×#483C22semidirect
39. C2×#464C22semidirect
42. C2×#463C22semidirect
43. C2×#452C22semidirect
45. C2×#449C22semidirect
47. C2×#448C22semidirect
53. C2×C4×D8C22semidirect
62. #2565C22semidirect
63. #2562C22semidirect
66. #2535C22semidirect
75. #2422C22semidirect
76. #2421C22semidirect
83. #2409C22semidirect
87. #2367C22semidirect
89. Q8×C22⋊C4C22semidirect
90. #2339C22semidirect
92. C4×C22⋊Q8C22semidirect
95. #2101C22semidirect
96. #2101C22semidirect
97. #2099C22semidirect
98. #2097C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
102. #2075C22semidirect
103. #2073C22semidirect
104. #2072C22semidirect
105. #2066C22semidirect
107. #2065C22semidirect
108. #2065C22semidirect
109. #2056C22semidirect
111. #2055C22semidirect
112. #2055C22semidirect
113. #2042C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
118. #2034C22semidirect
120. #2026C22semidirect
122. #2025C22semidirect
123. #2025C22semidirect
126. #2015C22semidirect
127. #2015C22semidirect
130. #2012C22semidirect
131. #2012C22semidirect
133. #2001C22semidirect
134. #2001C22semidirect
135. #2001C22semidirect
139. #2000C22semidirect
142. #1999C22semidirect
143. #1968C22semidirect
144. #1968C22semidirect
148. #1954C22semidirect
149. #1933C22semidirect
150. #1933C22semidirect
151. #1927C22semidirect
153. #1926C22semidirect
154. #1925C22semidirect
155. #1923C22semidirect
156. #1923C22semidirect
157. #1916C22semidirect
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. #1874C22semidirect
180. #1872C22semidirect
182. #1870C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1864C22semidirect
186. #1863C22semidirect
187. #1851C22semidirect
188. #1851C22semidirect
189. #1823C22semidirect
190. #1817C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
193. #1804C22semidirect
195. #1797C22semidirect
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
#590432
#389492
#316422
#316372
#315672
#315612
#314062
#313982
#312762
#312752
#310272
#310252
#309962
#309852
#301142
#296662
#281202
#265962
#265932
#248952
#248942
#243732
#243682
#242452
#242402
#239362
#238712
#238662
#238622
#238602
#233272