Finite Group Databasebeta

← #7304951

Subgroups — #7304951

Order 512.

1990 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#59035C211yesmaximal, characteristic, complemented
2#39004C211yesmaximal, characteristic, complemented
3#32171C211yesmaximal, characteristic, complemented
4#32039C211yesmaximal, characteristic, complemented
5#31511C211yesmaximal, characteristic, complemented
6#31298C211yesmaximal, characteristic, complemented
7#31279C211yesmaximal, characteristic, complemented
8#31066C211yesmaximal, characteristic, complemented
9#31018C211yesmaximal, characteristic, complemented
10#30910C211yesmaximal, characteristic, complemented
11#30899C211yesmaximal, characteristic, complemented
12#30543C211yesmaximal, characteristic, complemented
13#30504C211yesmaximal, characteristic, complemented
14#30397C211yesmaximal, characteristic, complemented
15#30009C211yesmaximal, characteristic, complemented
16#29629C211yesmaximal, characteristic, complemented
17#29408C211yesmaximal, characteristic, complemented
18#27078C211yesmaximal, characteristic, complemented
19#26942C211yesmaximal, characteristic, complemented
20#26889C211yesmaximal, characteristic, complemented
21#25897C211yesmaximal, characteristic, complemented
22#25150C211yesmaximal, characteristic, complemented
23#25088C211yesmaximal, characteristic, complemented
24#24426C211yesmaximal, characteristic, complemented
25#24373C211yesmaximal, characteristic, complemented
26#24245C211yesmaximal, characteristic, complemented
27#24214C211yesmaximal, characteristic, complemented
28#24032C211yesmaximal, characteristic, complemented
29#23863C211yesmaximal, characteristic, complemented
30#23860C211yesmaximal, characteristic, complemented
31#23331C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#532C2211yescharacteristic
37C2×#489C2211yescharacteristic
38C2×#480C2211yescharacteristic
39C2×#474C2211yescharacteristic, complemented
40C2×#467C2211yescharacteristic, complemented
41C2×#465C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic
43C2×#463C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic, complemented
45C2×#452C2211yescharacteristic, complemented
46C2×#452C2211yescharacteristic, complemented
47C2×#452C2211yescharacteristic, complemented
48C2×#452C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic, complemented
51C2×#449C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic
53C2×#447C2211yescharacteristic
54C2×C4×D8C2211yescharacteristic, complemented
55C22×#102C2211yescharacteristic
56#2855C2211yescharacteristic, complemented
57#2765—21no—
58#2760—21no—
59#2749—21no—
60#2696—21no—
61#2668—21no—
62#2668—21no—
63#2653—21no—
64#2563C2211yescharacteristic, complemented
65#2547C2211yescharacteristic
66#2542C2211yescharacteristic
67#2537—21no—
68#2535C2211yescharacteristic, complemented
69#2514C2211yescharacteristic, complemented
70#2494C2211yescharacteristic, complemented
71#2492C2211yescharacteristic, complemented
72#2486C2211yescharacteristic
73#2456—21no—
74#2452C2211yescharacteristic, complemented
75#2450—21no—
76#2435C2211yescharacteristic
77#2435C2211yescharacteristic
78#2427C2211yescharacteristic
79#2427C2211yescharacteristic
80#2422—21no—
81#2418—21no—
82#2418—21no—
83#2417C2211yescharacteristic, complemented
84#2408—21no—
85#2407C2211yescharacteristic
86#2407C2211yescharacteristic
87#2407C2211yescharacteristic
88#2407C2211yescharacteristic, complemented
89#2366C2211yescharacteristic
90#2361C2211yescharacteristic, complemented
91#2339C2211yescharacteristic, complemented
92D4×C22⋊C4—21no—
93#2318—21no—
94C4×#121C2211yescharacteristic
95C4×#121C2211yescharacteristic
96C4×#121C2211yescharacteristic, complemented
97#2092C2211yescharacteristic, complemented
98#2087C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2075C2211yescharacteristic, complemented
101#2074C2211yescharacteristic, complemented
102#2068C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2056C2211yescharacteristic, complemented
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2043C2211yescharacteristic, complemented
110#2043C2211yescharacteristic, complemented
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic, complemented
113#2042C2211yescharacteristic, complemented
114#2041C2211yescharacteristic
115#2041C2211yescharacteristic
116#2036C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2036C2211yescharacteristic, complemented
121#2036C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic, complemented
128#2024C2211yescharacteristic, complemented
129#2023C2211yescharacteristic, complemented
130#2016C2211yescharacteristic, complemented
131#2015C2211yescharacteristic
132#2015C2211yescharacteristic
133#2015C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic
136#2013C2211yescharacteristic, complemented
137#2012C2211yescharacteristic
138#2011C2211yescharacteristic
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic, complemented
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1983C2211yescharacteristic
146#1983C2211yescharacteristic, complemented
147#1983C2211yescharacteristic, complemented
148#1973C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1969C2211yescharacteristic, complemented
151#1958C2211yescharacteristic
152#1955C2211yescharacteristic, complemented
153#1954C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1927C2211yescharacteristic, complemented
157#1926C2211yescharacteristic, complemented
158#1925C2211yescharacteristic
159#1925C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1918C2211yescharacteristic, complemented
163#1918C2211yescharacteristic, complemented
164#1918C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1894C2211yescharacteristic, complemented
169#1894C2211yescharacteristic, complemented
170#1893C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1872C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic, complemented
185#1862C2211yescharacteristic
186#1862C2211yescharacteristic
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1850C2211yescharacteristic, complemented
191#1817C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1762C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C2×AGL(1,ℤ/8)—42no—
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C22×Q16C2311yescharacteristic
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#546—42no—
225#546—42no—
226#546—42no—
227#546—42no—
228D42—42no—
229D42—42no—
230#532—42no—
231#532—42no—
232C2×C4⋊Q8C2311yescharacteristic
233C2×C4⋊Q8C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121D411yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×C4×D4—21no—
265C2×C4×D4—21no—
266C2×C4×D4—21no—
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281C22×C42C2311yescharacteristic
282#489—42no—
283#480—42no—
284#474—42no—
285#467—42no—
286#465—42no—
287#463—42no—
288#463—42no—
289#463—42no—
290#452—42no—
291#452—42no—
292#452—42no—
293#452—42no—
294#450—42no—
295#449—42no—
296#449—42no—
297#449—42no—
298#447—42no—
299C4×D8—42no—
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309C2×C4⋊C8C2311yescharacteristic
310C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
325C2×#102—42no—
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×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×#97C2311yescharacteristic
358C2×C4×C8C2311yescharacteristic
359#401—21no—
360#401—21no—
361#400—21no—
362#400—21no—
363#399—21no—
364#399—21no—
365#398—21no—
366#398—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#396—21no—
375#396—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#393—21no—
387#393—21no—
388#393—21no—
389#393—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#391—21no—
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#391C2311yescharacteristic
401#391C2311yescharacteristic
402#390—21no—
403#390—21no—
404#390—21no—
405#390D411yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#389D411yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
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#384—21no—
454#383—21no—
455#382—21no—
456#382C2311yescharacteristic
457#381—21no—
458#381—21no—
459#381—21no—
460#380—21no—
461#380—21no—
462#380—21no—
463#380—21no—
464#380—21no—
465#380D411yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379—21no—
476#379—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C2×#95—21no—
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—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C22×Q8—21no—
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×Q8C2411yescharacteristic
532C22×D4—21no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
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—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×C4—21no—
575C23×C4C2×D411yescharacteristic
576C23×C4C2×D411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580AGL(1,ℤ/8)—416no—
581C2×Q16—41no—
582C2×Q16—41no—
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—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—41no—
596C2×SD16—41no—
597C2×SD16—41no—
598C2×SD16—41no—
599C2×SD16—41no—
600C2×SD16—41no—
601C2×SD16—41no—
602C2×D8—22no—
603C2×D8—22no—
604C2×D8—22no—
605C2×D8—22no—
606C2×D8—22no—
607C2×D8—22no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×M16—41no—
612C2×M16—41no—
613C2×M16—41no—
614C22×C8—41no—
615C22×C8—41no—
616C22×C8—41no—
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C4⋊Q8—41no—
626C4⋊Q8—41no—
627C4⋊Q8—41no—
628C4⋊Q8—41no—
629#127—22no—
630#127—22no—
631#124—22no—
632#124—22no—
633#124—22no—
634#124—22no—
635#124—41no—
636#124—41no—
637#124—41no—
638#124—41no—
639#123—44no—
640#123—44no—
641#123—82no—
642C22⋊Q8—22no—
643C22⋊Q8—22no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—82no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—42no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—44no—
667#121—44no—
668#121—44no—
669#121—44no—
670#121—44no—
671#120—44no—
672#120—44no—
673#120—44no—
674#120—44no—
675C4×D4—22no—
676C4×D4—22no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—41no—
688C4×D4—41no—
689C4×D4—41no—
690C4×D4—41no—
691C4×D4—44no—
692C4×D4—44no—
693C4×D4—44no—
694C4×D4—82no—
695C4×D4—82no—
696C4×D4—82no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—41no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4C2×D411yescharacteristic
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
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—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—44no—
770C2×C22⋊C4—44no—
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C22⋊C4C2×D411yescharacteristic
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C42—21no—
782C2×C42—21no—
783C2×C42—21no—
784C2×C42—41no—
785C2×C42—41no—
786C2×C42C2×D411yescharacteristic
787C2×C42C2×D411yescharacteristic
788C2×C42C2411yescharacteristic
789C2×C42C2411yescharacteristic
790C2×C42C2411yescharacteristic
791C2×C42C2411yescharacteristic
792#107—22no—
793#107—22no—
794#107—41no—
795#107—41no—
796#107—41no—
797#106—41no—
798C4⋊C8—41no—
799C4⋊C8—41no—
800C4⋊C8—41no—
801C4⋊C8—41no—
802#103—22no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#103—41no—
815#103—41no—
816#103—41no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—22no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—22no—
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—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845C22⋊C8—41no—
846C22⋊C8—41no—
847C22⋊C8—41no—
848#97—41no—
849C4×C8—41no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95C2×D411yescharacteristic
880#95C2×D411yescharacteristic
881#95C2×D411yescharacteristic
882#95C2×D411yescharacteristic
883#95C2×D411yescharacteristic
884#95C2×D411yescharacteristic
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—42no—
890C24—42no—
891C24—42no—
892C24—42no—
893C24—42no—
894C24—42no—
895C24—81no—
896C24—81no—
897C24—81no—
898C24—81no—
899C24—81no—
900C24—81no—
901C24—81no—
902C24—81no—
903C24C22×D411yescharacteristic
904C24C22×D411yescharacteristic
905C24C22×D411yescharacteristic
906#41—44no—
907#41—82no—
908#41—82no—
909#41—82no—
910#41—82no—
911#41—82no—
912#41—82no—
913#41—82no—
914#41—82no—
915#41—82no—
916#41—82no—
917#41—82no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—21no—
930C2×Q8—21no—
931C2×Q8—21no—
932C2×Q8—21no—
933C2×Q8—21no—
934C2×Q8—21no—
935C2×Q8—21no—
936C2×Q8—81no—
937C2×Q8—81no—
938C2×Q8—81no—
939C2×D4—24no—
940C2×D4—22no—
941C2×D4—24no—
942C2×D4—24no—
943C2×D4—22no—
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—41no—
966C2×D4—42no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—44no—
977C2×D4—44no—
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—42no—
990C2×D4—42no—
991C2×D4—42no—
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—81no—
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—816no—
1013C2×D4H(5,𝔽2)12yes—
1014C2×D4H(5,𝔽2)12yes—
1015C2×D4H(5,𝔽2)12yes—
1016C2×D4H(5,𝔽2)12yes—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—22no—
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—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
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—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×C4—81no—
1079C22×C4—81no—
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×C4C22×D411yescharacteristic
1090C22×C4C22×D411yescharacteristic
1091C22×C4C2511yescharacteristic
1092Q16—82no—
1093Q16—82no—
1094SD16—44no—
1095SD16—44no—
1096SD16—82no—
1097SD16—82no—
1098SD16—82no—
1099D8—44no—
1100D8—44no—
1101D8—44no—
1102M16—44no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—21no—
1114C2×C8—21no—
1115C2×C8—21no—
1116C2×C8—21no—
1117C2×C8—21no—
1118C2×C8—21no—
1119C2×C8—21no—
1120C2×C8—21no—
1121C2×C8—21no—
1122C2×C8—21no—
1123C2×C8—21no—
1124C2×C8—21no—
1125C2×C8—21no—
1126C2×C8—21no—
1127C2×C8—82no—
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—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—81no—
1158C4⋊C4—81no—
1159C4⋊C4—81no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4H(5,𝔽2)12yes—
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—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—42no—
1189C22⋊C4—42no—
1190C22⋊C4—42no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—42no—
1195C22⋊C4—42no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C22⋊C4—81no—
1213C22⋊C4—81no—
1214C22⋊C4—81no—
1215C22⋊C4—81no—
1216C22⋊C4—81no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—21no—
1223C42—21no—
1224C42—21no—
1225C42—41no—
1226C42—41no—
1227C42—42no—
1228C42—42no—
1229C42—81no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—22no—
1241C23—21no—
1242C23—22no—
1243C23—22no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—22no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—84no—
1279C23—84no—
1280C23—84no—
1281C23—84no—
1282C23—84no—
1283C23—84no—
1284C23—162no—
1285C23—162no—
1286C23—162no—
1287C23—162no—
1288C23—162no—
1289C23—162no—
1290C23—162no—
1291C23—162no—
1292C23#57512yes—
1293C23C23×D411yescharacteristic
1294Q8—41no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—41no—
1302Q8—41no—
1303Q8—41no—
1304Q8—41no—
1305Q8—41no—
1306Q8—162no—
1307D4—22no—
1308D4—22no—
1309D4—22no—
1310D4—22no—
1311D4—22no—
1312D4—22no—
1313D4—22no—
1314D4—22no—
1315D4—44no—
1316D4—48no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—41no—
1322D4—41no—
1323D4—41no—
1324D4—41no—
1325D4—82no—
1326D4—84no—
1327D4—84no—
1328D4—82no—
1329D4—84no—
1330D4—84no—
1331D4—84no—
1332D4—84no—
1333D4—84no—
1334D4—84no—
1335D4—84no—
1336D4—84no—
1337D4—84no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—82no—
1419C2×C4—84no—
1420C2×C4—82no—
1421C2×C4—84no—
1422C2×C4—84no—
1423C2×C4—84no—
1424C2×C4—162no—
1425C2×C4—162no—
1426C2×C4—162no—
1427C2×C4—162no—
1428C2×C4—162no—
1429C2×C4#57612yes—
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—22no—
1445C22—22no—
1446C22—22no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—42no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—42no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—42no—
1460C22—41no—
1461C22—41no—
1462C22—42no—
1463C22—42no—
1464C22—41no—
1465C22—42no—
1466C22—42no—
1467C22—41no—
1468C22—41no—
1469C22—42no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
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×#57511yescharacteristic
1499C22C2×#57611yescharacteristic
1500C22#358411yescharacteristic
1501C22#358611yescharacteristic
1502C4—22no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—42no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4#353211yescharacteristic
1526C4#353411yescharacteristic
1527C4#353711yescharacteristic
1528C4#355811yescharacteristic
1529C2—42no—
1530C2—81no—
1531C2—81no—
1532C2—82no—
1533C2—82no—
1534C2—82no—
1535C2—82no—
1536C2#4783811yescharacteristic
1537C2#6158011yescharacteristic
1538C2#6159211yescharacteristic
1539C2#6161311yescharacteristic
1540C2#6165711yescharacteristic
1541C2#6199011yescharacteristic
1542C2#6204111yescharacteristic
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. #59035C2semidirect
2. #39004C2semidirect
3. #32171C2semidirect
4. #32039C2semidirect
5. #31511C2semidirect
6. #31298C2semidirect
7. #31279C2semidirect
8. #31066C2semidirect
9. #31018C2semidirect
10. #30910C2semidirect
11. #30899C2semidirect
12. #30543C2semidirect
13. #30504C2semidirect
14. #30397C2semidirect
15. #30009C2semidirect
16. #29629C2semidirect
17. #29408C2semidirect
18. #27078C2semidirect
19. #26942C2semidirect
20. #26889C2semidirect
21. #25897C2semidirect
22. #25150C2semidirect
23. #25088C2semidirect
24. #24426C2semidirect
25. #24373C2semidirect
26. #24245C2semidirect
27. #24214C2semidirect
28. #24032C2semidirect
29. #23863C2semidirect
30. #23860C2semidirect
31. #23331C2semidirect
39. C2×#474C22semidirect
40. C2×#467C22semidirect
41. C2×#465C22semidirect
43. C2×#463C22semidirect
44. C2×#463C22semidirect
45. C2×#452C22semidirect
46. C2×#452C22semidirect
47. C2×#452C22semidirect
48. C2×#452C22semidirect
50. C2×#449C22semidirect
51. C2×#449C22semidirect
54. C2×C4×D8C22semidirect
56. #2855C22semidirect
64. #2563C22semidirect
68. #2535C22semidirect
69. #2514C22semidirect
70. #2494C22semidirect
71. #2492C22semidirect
74. #2452C22semidirect
83. #2417C22semidirect
88. #2407C22semidirect
90. #2361C22semidirect
91. #2339C22semidirect
96. C4×#121C22semidirect
97. #2092C22semidirect
98. #2087C22semidirect
99. #2077C22semidirect
100. #2075C22semidirect
101. #2074C22semidirect
102. #2068C22semidirect
103. #2068C22semidirect
105. #2056C22semidirect
107. #2055C22semidirect
108. #2054C22semidirect
109. #2043C22semidirect
110. #2043C22semidirect
112. #2042C22semidirect
113. #2042C22semidirect
116. #2036C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
119. #2036C22semidirect
120. #2036C22semidirect
121. #2036C22semidirect
122. #2035C22semidirect
127. #2033C22semidirect
128. #2024C22semidirect
129. #2023C22semidirect
130. #2016C22semidirect
133. #2015C22semidirect
134. #2015C22semidirect
136. #2013C22semidirect
139. #2001C22semidirect
142. #2000C22semidirect
146. #1983C22semidirect
147. #1983C22semidirect
148. #1973C22semidirect
149. #1973C22semidirect
150. #1969C22semidirect
152. #1955C22semidirect
153. #1954C22semidirect
154. #1934C22semidirect
155. #1928C22semidirect
156. #1927C22semidirect
157. #1926C22semidirect
159. #1925C22semidirect
160. #1924C22semidirect
161. #1923C22semidirect
162. #1918C22semidirect
163. #1918C22semidirect
164. #1918C22semidirect
165. #1917C22semidirect
166. #1916C22semidirect
168. #1894C22semidirect
169. #1894C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1872C22semidirect
180. #1872C22semidirect
182. #1870C22semidirect
184. #1869C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1850C22semidirect
191. #1817C22semidirect
192. #1804C22semidirect
193. #1797C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
202. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#590352
#390042
#321712
#320392
#315112
#312982
#312792
#310662
#310182
#309102
#308992
#305432
#305042
#303972
#300092
#296292
#294082
#270782
#269422
#268892
#258972
#251502
#250882
#244262
#243732
#242452
#242142
#240322
#238632
#238602
#233312