Finite Group Databasebeta

← #7302780

Subgroups — #7302780

Order 512.

1991 conjugacy classes of subgroups.

The subgroup lattice has 1541 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59039C211yesmaximal, characteristic, complemented
2#39960C211yesmaximal, characteristic, complemented
3#31652C211yesmaximal, characteristic, complemented
4#31650C211yesmaximal, characteristic, complemented
5#31563C211yesmaximal, characteristic, complemented
6#31561C211yesmaximal, characteristic, complemented
7#31413C211yesmaximal, characteristic, complemented
8#31411C211yesmaximal, characteristic, complemented
9#31272C211yesmaximal, characteristic, complemented
10#31270C211yesmaximal, characteristic, complemented
11#31045C211yesmaximal, characteristic, complemented
12#31037C211yesmaximal, characteristic, complemented
13#31010C211yesmaximal, characteristic, complemented
14#31008C211yesmaximal, characteristic, complemented
15#30114C211yesmaximal, characteristic, complemented
16#29667C211yesmaximal, characteristic, complemented
17#28125C211yesmaximal, characteristic, complemented
18#26602C211yesmaximal, characteristic, complemented
19#26600C211yesmaximal, characteristic, complemented
20#24923C211yesmaximal, characteristic, complemented
21#24915C211yesmaximal, characteristic, complemented
22#24377C211yesmaximal, characteristic, complemented
23#24373C211yesmaximal, characteristic, complemented
24#24257C211yesmaximal, characteristic, complemented
25#24256C211yesmaximal, characteristic, complemented
26#23932C211yesmaximal, characteristic, complemented
27#23871C211yesmaximal, characteristic, complemented
28#23870C211yesmaximal, characteristic, complemented
29#23869C211yesmaximal, characteristic, complemented
30#23863C211yesmaximal, characteristic, complemented
31#23334C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#548C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#532C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic, complemented
39C2×#463C2211yescharacteristic
40C2×#463C2211yescharacteristic
41C2×#463C2211yescharacteristic
42C2×#463C2211yescharacteristic
43C2×#452C2211yescharacteristic
44C2×#452C2211yescharacteristic
45C2×#452C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#448C2211yescharacteristic, complemented
51C2×#447C2211yescharacteristic
52C2×#442C2211yescharacteristic
53C2×#440C2211yescharacteristic, complemented
54#2850C2211yescharacteristic
55#2688—21no—
56#2686—21no—
57#2686—21no—
58#2686—21no—
59#2684—21no—
60#2668—21no—
61#2663—21no—
62#2602—21no—
63#2567C2211yescharacteristic, complemented
64#2563C2211yescharacteristic
65#2561—21no—
66#2537C2211yescharacteristic
67#2537C2211yescharacteristic, complemented
68#2448C2211yescharacteristic
69#2447C2211yescharacteristic
70#2445—21no—
71#2436C2211yescharacteristic
72#2435C2211yescharacteristic
73#2430—21no—
74#2430—21no—
75#2428—21no—
76#2422C2211yescharacteristic
77#2422C2211yescharacteristic, complemented
78#2421C2211yescharacteristic
79#2420—21no—
80#2420C2211yescharacteristic
81#2415C2211yescharacteristic
82#2414C2211yescharacteristic
83#2409C2211yescharacteristic
84#2408C2211yescharacteristic
85#2407C2211yescharacteristic
86#2407C2211yescharacteristic, complemented
87#2366C2211yescharacteristic, complemented
88#2349—21no—
89#2339C2211yescharacteristic
90#2339C2211yescharacteristic, complemented
91#2321—21no—
92C4×C22⋊Q8C2211yescharacteristic, complemented
93C4×#121C2211yescharacteristic
94#2297C2211yescharacteristic
95#2101C2211yescharacteristic, complemented
96#2099C2211yescharacteristic, complemented
97#2099C2211yescharacteristic, complemented
98#2097C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic
102#2076C2211yescharacteristic
103#2072C2211yescharacteristic, complemented
104#2071C2211yescharacteristic
105#2068C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2065C2211yescharacteristic
108#2065C2211yescharacteristic, complemented
109#2056C2211yescharacteristic, complemented
110#2056C2211yescharacteristic, complemented
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic
113#2042C2211yescharacteristic
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic
116#2035C2211yescharacteristic
117#2034C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2024C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic
133#2001C2211yescharacteristic, complemented
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1973C2211yescharacteristic, complemented
144#1972C2211yescharacteristic
145#1959C2211yescharacteristic
146#1959C2211yescharacteristic
147#1955C2211yescharacteristic
148#1955C2211yescharacteristic, complemented
149#1935C2211yescharacteristic, complemented
150#1935C2211yescharacteristic, complemented
151#1927C2211yescharacteristic, complemented
152#1927C2211yescharacteristic, complemented
153#1925C2211yescharacteristic
154#1925C2211yescharacteristic
155#1924C2211yescharacteristic
156#1924C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1917C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic, complemented
163#1894C2211yescharacteristic
164#1894C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1878C2211yescharacteristic, complemented
173#1878C2211yescharacteristic, complemented
174#1878C2211yescharacteristic, complemented
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1851C2211yescharacteristic
188#1851C2211yescharacteristic, complemented
189#1825C2211yescharacteristic, complemented
190#1817C2211yescharacteristic, complemented
191#1804C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic
202#1786C2211yescharacteristic
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
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×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229#550—42no—
230#550—42no—
231#548—42no—
232#548—42no—
233#546—42no—
234#546—42no—
235#532—42no—
236#532—42no—
237C2×C4⋊Q8C2311yescharacteristic
238C2×#127—21no—
239C2×#127C2311yescharacteristic
240C2×#124—21no—
241C2×#124—21no—
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#124C2311yescharacteristic
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×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121D411yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#120—21no—
269C2×#120—21no—
270C2×C4×Q8C2311yescharacteristic
271C2×C4×Q8C2311yescharacteristic
272C2×C4×D4—21no—
273C2×C4×D4—21no—
274C2×C4×D4—21no—
275C2×C4×D4—21no—
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×#117C2311yescharacteristic
285C22×C22⋊C4—21no—
286C22×C42C2311yescharacteristic
287#485—42no—
288#463—42no—
289#463—42no—
290#463—42no—
291#463—42no—
292#452—42no—
293#452—42no—
294#452—42no—
295#449—42no—
296#449—42no—
297#449—42no—
298#449—42no—
299#448—42no—
300#447—42no—
301#442—42no—
302#440—42no—
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
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×#103C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×#97C2311yescharacteristic
355#400—21no—
356#399—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#395—21no—
366#395—21no—
367#395—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—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#393—21no—
383#393—21no—
384#393—21no—
385#393—21no—
386#393—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#390—21no—
399#390—21no—
400#390—21no—
401#390D411yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#389—21no—
409#389—21no—
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#386—21no—
427#386—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#386D411yescharacteristic
443#386D411yescharacteristic
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#382—21no—
454#382C2311yescharacteristic
455#381—21no—
456#381—21no—
457#381—21no—
458#381—21no—
459#380—21no—
460#380—21no—
461#380D411yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
470#379—21no—
471#379—21no—
472C4×C4⋊C4—21no—
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4—21no—
478C4×C22⋊C4C2311yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480C2×#95—21no—
481C2×#95—21no—
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—22no—
514C2×#41—22no—
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—44no—
528C2×#41—82no—
529C2×#41—82no—
530C22×Q8—21no—
531C22×Q8—21no—
532C22×Q8—22no—
533C22×Q8—41no—
534C22×Q8—41no—
535C22×Q8—41no—
536C22×Q8—41no—
537C22×Q8—41no—
538C22×Q8C2411yescharacteristic
539C22×Q8C2411yescharacteristic
540C22×Q8C2411yescharacteristic
541C22×D4—21no—
542C22×D4—22no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
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×C4—21no—
575C23×C4—21no—
576C23×C4C2×D411yescharacteristic
577C23×C4C2×D411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581#137—416no—
582AGL(1,ℤ/8)—416no—
583C2×Q16—22no—
584C2×Q16—22no—
585C2×Q16—22no—
586C2×Q16—41no—
587C2×Q16—41no—
588C2×Q16—41no—
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×D8—22no—
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×D8—41no—
618C2×D8—41no—
619C2×M16—41no—
620C2×M16—41no—
621C2×M16—41no—
622C2×M16—41no—
623C2×M16—41no—
624C2×M16—41no—
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C22×C8C2411yescharacteristic
632C22×C8C2411yescharacteristic
633C4⋊Q8—41no—
634C4⋊Q8—41no—
635#127—22no—
636#127—22no—
637#127—44no—
638#124—22no—
639#124—22no—
640#124—41no—
641#124—41no—
642#124—41no—
643#124—41no—
644#124—44no—
645#124—44no—
646#123—44no—
647#123—82no—
648#123—82no—
649C22⋊Q8—22no—
650C22⋊Q8—22no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—44no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—42no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—44no—
672#121—44no—
673#121—44no—
674#121—44no—
675#121—44no—
676#121—41no—
677#121—41no—
678#121—82no—
679#121—82no—
680#120—44no—
681#120—44no—
682C4×Q8—22no—
683C4×Q8—41no—
684C4×Q8—41no—
685C4×Q8—41no—
686C4×D4—22no—
687C4×D4—22no—
688C4×D4—22no—
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—41no—
700C4×D4—41no—
701C4×D4—41no—
702C4×D4—44no—
703C4×D4—44no—
704C4×D4—44no—
705C4×D4—44no—
706#117—41no—
707#117—41no—
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⋊C4C2×D411yescharacteristic
723C2×C4⋊C4C2×D411yescharacteristic
724C2×C4⋊C4C2×D411yescharacteristic
725C2×C4⋊C4C2×D411yescharacteristic
726C2×C4⋊C4C2×D411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
731C2×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
733C2×C4⋊C4C2411yescharacteristic
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
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—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—44no—
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#107—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—22no—
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#103—41no—
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—
851#97—41no—
852#97—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—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—42no—
891C24—42no—
892C24—81no—
893C24—81no—
894C24—81no—
895C24—81no—
896C24—81no—
897C24C22×D411yescharacteristic
898C24C22×D411yescharacteristic
899C24C22×D411yescharacteristic
900#41—44no—
901#41—44no—
902#41—82no—
903#41—82no—
904#41—82no—
905#41—82no—
906#41—82no—
907#41—82no—
908#41—82no—
909#41—82no—
910#41—82no—
911#41—82no—
912#41—816no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—21no—
925C2×Q8—21no—
926C2×Q8—21no—
927C2×Q8—21no—
928C2×Q8—21no—
929C2×Q8—42no—
930C2×Q8—42no—
931C2×Q8—44no—
932C2×Q8—81no—
933C2×Q8—81no—
934C2×Q8—81no—
935C2×Q8—81no—
936C2×Q8—82no—
937C2×Q8—82no—
938C2×Q8—82no—
939C2×Q8H(5,𝔽2)12yes—
940C2×Q8H(5,𝔽2)12yes—
941C2×D4—24no—
942C2×D4—24no—
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—42no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—41no—
973C2×D4—41no—
974C2×D4—41no—
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—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—81no—
1000C2×D4—81no—
1001C2×D4—81no—
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—81no—
1013C2×D4—81no—
1014C2×D4H(5,𝔽2)12yes—
1015C2×D4H(5,𝔽2)12yes—
1016C2×D4H(5,𝔽2)12yes—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—24no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—22no—
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—42no—
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—44no—
1093Q16—44no—
1094SD16—44no—
1095SD16—44no—
1096SD16—44no—
1097SD16—44no—
1098SD16—44no—
1099SD16—82no—
1100D8—44no—
1101D8—44no—
1102D8—44no—
1103D8—82no—
1104M16—44no—
1105M16—44no—
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—
1128C2×C8—21no—
1129C2×C8—21no—
1130C4⋊C4—22no—
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—21no—
1148C4⋊C4—21no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—81no—
1161C4⋊C4—81no—
1162C4⋊C4—81no—
1163C4⋊C4—81no—
1164C4⋊C4—81no—
1165C4⋊C4—81no—
1166C4⋊C4—81no—
1167C22⋊C4—41no—
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—42no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
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—42no—
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—22no—
1247C23—21no—
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—162no—
1285C23—162no—
1286C23—162no—
1287C23—162no—
1288C23—162no—
1289C23C23×D411yescharacteristic
1290Q8—22no—
1291Q8—22no—
1292Q8—22no—
1293Q8—22no—
1294Q8—41no—
1295Q8—41no—
1296Q8—41no—
1297Q8—41no—
1298Q8—41no—
1299Q8—41no—
1300Q8—41no—
1301Q8—41no—
1302Q8—84no—
1303Q8—84no—
1304D4—22no—
1305D4—22no—
1306D4—22no—
1307D4—22no—
1308D4—22no—
1309D4—22no—
1310D4—48no—
1311D4—41no—
1312D4—41no—
1313D4—41no—
1314D4—41no—
1315D4—41no—
1316D4—41no—
1317D4—41no—
1318D4—41no—
1319D4—41no—
1320D4—41no—
1321D4—82no—
1322D4—84no—
1323D4—84no—
1324D4—82no—
1325D4—82no—
1326D4—84no—
1327D4—84no—
1328D4—84no—
1329D4—84no—
1330D4—84no—
1331D4—84no—
1332D4—162no—
1333D4—162no—
1334D4—162no—
1335D4—162no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—44no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—82no—
1418C2×C4—84no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—84no—
1422C2×C4—84no—
1423C2×C4—84no—
1424C2×C4—162no—
1425C2×C4—162no—
1426C2×C4—162no—
1427C2×C4#57512yes—
1428C2×C4C2×H(5,𝔽2)11yescharacteristic
1429C2×C4C2×H(5,𝔽2)11yescharacteristic
1430C2×C4C2×H(5,𝔽2)11yescharacteristic
1431C2×C4C2×H(5,𝔽2)11yescharacteristic
1432C2×C4C2×H(5,𝔽2)11yescharacteristic
1433C2×C4#58511yescharacteristic
1434C8—41no—
1435C8—41no—
1436C8—41no—
1437C8—41no—
1438C8—41no—
1439C8—41no—
1440C8—41no—
1441C8—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—42no—
1450C22—42no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—42no—
1457C22—41no—
1458C22—42no—
1459C22—42no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—81no—
1473C22—81no—
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—168no—
1492C22#348411yescharacteristic
1493C22#348411yescharacteristic
1494C22#348811yescharacteristic
1495C22C2×#57511yescharacteristic
1496C22#358511yescharacteristic
1497C22#358511yescharacteristic
1498C22#358611yescharacteristic
1499C4—22no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—42no—
1509C4—42no—
1510C4—41no—
1511C4—41no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4#353211yescharacteristic
1523C4#353211yescharacteristic
1524C4#353411yescharacteristic
1525C4#353411yescharacteristic
1526C2—81no—
1527C2—81no—
1528C2—81no—
1529C2—82no—
1530C2—82no—
1531C2—82no—
1532C2—161no—
1533C2#4783011yescharacteristic
1534C2#6157511yescharacteristic
1535C2#6159011yescharacteristic
1536C2#6164411yescharacteristic
1537C2#6167711yescharacteristic
1538C2#6197511yescharacteristic
1539C2#6207811yescharacteristic
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. #59039C2semidirect
2. #39960C2semidirect
3. #31652C2semidirect
4. #31650C2semidirect
5. #31563C2semidirect
6. #31561C2semidirect
7. #31413C2semidirect
8. #31411C2semidirect
9. #31272C2semidirect
10. #31270C2semidirect
11. #31045C2semidirect
12. #31037C2semidirect
13. #31010C2semidirect
14. #31008C2semidirect
15. #30114C2semidirect
16. #29667C2semidirect
17. #28125C2semidirect
18. #26602C2semidirect
19. #26600C2semidirect
20. #24923C2semidirect
21. #24915C2semidirect
22. #24377C2semidirect
23. #24373C2semidirect
24. #24257C2semidirect
25. #24256C2semidirect
26. #23932C2semidirect
27. #23871C2semidirect
28. #23870C2semidirect
29. #23869C2semidirect
30. #23863C2semidirect
31. #23334C2semidirect
32. C22×#137C22semidirect
37. C2×#532C22semidirect
38. C2×#485C22semidirect
50. C2×#448C22semidirect
53. C2×#440C22semidirect
63. #2567C22semidirect
67. #2537C22semidirect
77. #2422C22semidirect
86. #2407C22semidirect
87. #2366C22semidirect
90. #2339C22semidirect
92. C4×C22⋊Q8C22semidirect
95. #2101C22semidirect
96. #2099C22semidirect
97. #2099C22semidirect
98. #2097C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
103. #2072C22semidirect
105. #2068C22semidirect
106. #2067C22semidirect
108. #2065C22semidirect
109. #2056C22semidirect
110. #2056C22semidirect
114. #2036C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
133. #2001C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
143. #1973C22semidirect
148. #1955C22semidirect
149. #1935C22semidirect
150. #1935C22semidirect
151. #1927C22semidirect
152. #1927C22semidirect
156. #1924C22semidirect
157. #1917C22semidirect
158. #1917C22semidirect
162. #1895C22semidirect
167. #1880C22semidirect
172. #1878C22semidirect
173. #1878C22semidirect
174. #1878C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
184. #1870C22semidirect
185. #1864C22semidirect
186. #1862C22semidirect
188. #1851C22semidirect
189. #1825C22semidirect
190. #1817C22semidirect
191. #1804C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
195. #1797C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
200. #1787C22semidirect

Maximal subgroups

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

subgroupindex
#590392
#399602
#316522
#316502
#315632
#315612
#314132
#314112
#312722
#312702
#310452
#310372
#310102
#310082
#301142
#296672
#281252
#266022
#266002
#249232
#249152
#243772
#243732
#242572
#242562
#239322
#238712
#238702
#238692
#238632
#233342