Finite Group Databasebeta

← #7303196

Subgroups — #7303196

Order 512.

1784 conjugacy classes of subgroups.

The subgroup lattice has 1485 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45112C211yesmaximal, characteristic, complemented
2#42673C211yesmaximal, characteristic, complemented
3#31729C211yesmaximal, characteristic, complemented
4#31724C211yesmaximal, characteristic, complemented
5#30759C211yesmaximal, characteristic, complemented
6#30745C211yesmaximal, characteristic, complemented
7#30726C211yesmaximal, characteristic, complemented
8#30720C211yesmaximal, characteristic, complemented
9#30613C211yesmaximal, characteristic, complemented
10#30611C211yesmaximal, characteristic, complemented
11#30513C211yesmaximal, characteristic, complemented
12#30512C211yesmaximal, characteristic, complemented
13#30467C211yesmaximal, characteristic, complemented
14#30455C211yesmaximal, characteristic, complemented
15#30124C211yesmaximal, characteristic, complemented
16#29672C211yesmaximal, characteristic, complemented
17#28130C211yesmaximal, characteristic, complemented
18#26704C211yesmaximal, characteristic, complemented
19#26689C211yesmaximal, characteristic, complemented
20#26672C211yesmaximal, characteristic, complemented
21#26661C211yesmaximal, characteristic, complemented
22#25769C211yesmaximal, characteristic, complemented
23#25762C211yesmaximal, characteristic, complemented
24#25098C211yesmaximal, characteristic, complemented
25#25094C211yesmaximal, characteristic, complemented
26#24452C211yesmaximal, characteristic, complemented
27#24444C211yesmaximal, characteristic, complemented
28#23981C211yesmaximal, characteristic, complemented
29#23981C211yesmaximal, characteristic, complemented
30#23945C211yesmaximal, characteristic, complemented
31#23332C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic, complemented
33C2×#546C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#542C2211yescharacteristic
36C2×#497C2211yescharacteristic
37C2×#495C2211yescharacteristic
38C2×#485C2211yescharacteristic
39C2×#470C2211yescharacteristic, complemented
40C2×#469C2211yescharacteristic
41C2×#468C2211yescharacteristic
42C2×#468C2211yescharacteristic, complemented
43C2×#462C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#461C2211yescharacteristic
46C2×#461C2211yescharacteristic, complemented
47C2×#452C2211yescharacteristic
48C2×#452C2211yescharacteristic
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#450C2211yescharacteristic
54C2×#450C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#417C2211yescharacteristic
57C2×#417C2211yescharacteristic
58#2812—21no—
59#2732—21no—
60#2730—21no—
61#2724—21no—
62#2721—21no—
63#2701—21no—
64#2701—21no—
65#2699—21no—
66#2694—21no—
67#2622—21no—
68#2622—21no—
69#2621C2211yescharacteristic
70#2545C2211yescharacteristic, complemented
71#2542C2211yescharacteristic
72#2540C2211yescharacteristic
73#2540C2211yescharacteristic, complemented
74#2538—21no—
75#2483—21no—
76#2467—21no—
77#2456—21no—
78#2447C2211yescharacteristic
79#2447C2211yescharacteristic
80#2432C2211yescharacteristic
81#2432C2211yescharacteristic
82#2429C2211yescharacteristic, complemented
83#2427C2211yescharacteristic, complemented
84#2426—21no—
85#2420C2211yescharacteristic
86#2420C2211yescharacteristic
87#2417C2211yescharacteristic
88#2416C2211yescharacteristic
89#2415C2211yescharacteristic
90#2415C2211yescharacteristic
91#2407C2211yescharacteristic
92#2407C2211yescharacteristic
93#2392C2211yescharacteristic
94#2365C2211yescharacteristic, complemented
95#2361C2211yescharacteristic, complemented
96#2360C2211yescharacteristic, complemented
97#2323C2211yescharacteristic
98#2309C2211yescharacteristic
99#2101C2211yescharacteristic, complemented
100#2097C2211yescharacteristic, complemented
101#2088C2211yescharacteristic, complemented
102#2087C2211yescharacteristic, complemented
103#2067C2211yescharacteristic
104#2065C2211yescharacteristic
105#2056C2211yescharacteristic, complemented
106#2055C2211yescharacteristic
107#2055C2211yescharacteristic
108#2055C2211yescharacteristic, complemented
109#2043C2211yescharacteristic, complemented
110#2043C2211yescharacteristic, complemented
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic
113#2042C2211yescharacteristic, complemented
114#2036C2211yescharacteristic
115#2036C2211yescharacteristic, complemented
116#2035C2211yescharacteristic
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic
124#2016C2211yescharacteristic, complemented
125#2016C2211yescharacteristic, complemented
126#2015C2211yescharacteristic
127#2015C2211yescharacteristic, complemented
128#2015C2211yescharacteristic, complemented
129#2015C2211yescharacteristic, complemented
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2001C2211yescharacteristic
134#2001C2211yescharacteristic
135#2001C2211yescharacteristic
136#2001C2211yescharacteristic
137#2001C2211yescharacteristic, complemented
138#2001C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic
147#1983C2211yescharacteristic
148#1983C2211yescharacteristic
149#1955C2211yescharacteristic
150#1954C2211yescharacteristic
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1933C2211yescharacteristic, complemented
154#1933C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1928C2211yescharacteristic, complemented
157#1927C2211yescharacteristic, complemented
158#1927C2211yescharacteristic, complemented
159#1926C2211yescharacteristic
160#1925C2211yescharacteristic
161#1924C2211yescharacteristic, complemented
162#1923C2211yescharacteristic, complemented
163#1921C2211yescharacteristic, complemented
164#1919C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1894C2211yescharacteristic, complemented
168#1894C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic
171#1880C2211yescharacteristic
172#1880C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1877C2211yescharacteristic
179#1875C2211yescharacteristic
180#1874C2211yescharacteristic
181#1874C2211yescharacteristic
182#1873C2211yescharacteristic
183#1872C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1870C2211yescharacteristic
186#1870C2211yescharacteristic
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1864C2211yescharacteristic
190#1862C2211yescharacteristic
191#1851C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1825C2211yescharacteristic
194#1823C2211yescharacteristic, complemented
195#1823C2211yescharacteristic, complemented
196#1818C2211yescharacteristic
197#1805C2211yescharacteristic, complemented
198#1804C2211yescharacteristic, complemented
199#1798C2211yescharacteristic
200#1786C2211yescharacteristic
201#1762C2211yescharacteristic
202C4×#102C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220#554—42no—
221#554—42no—
222#546—42no—
223#546—42no—
224#546—42no—
225#546—42no—
226#542—42no—
227#542—42no—
228C2×C4⋊Q8C2311yescharacteristic
229C2×C4⋊Q8C2311yescharacteristic
230C2×C4⋊Q8C2311yescharacteristic
231C2×#126—21no—
232C2×#125—21no—
233C2×#124—21no—
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#123—21no—
239C2×#123—21no—
240C2×#123—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
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×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#120—21no—
263C2×#120—21no—
264C2×C4×Q8—21no—
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C22⋊C4—21no—
280C22×C22⋊C4—21no—
281#497—42no—
282#495—42no—
283#485—42no—
284#470—42no—
285#469—42no—
286#468—42no—
287#468—42no—
288#463—42no—
289#462—42no—
290#461—42no—
291#461—42no—
292#452—42no—
293#452—42no—
294#452—42no—
295#452—42no—
296#450—42no—
297#450—42no—
298#449—42no—
299#449—42no—
300#447—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×C4⋊C8C2311yescharacteristic
309#417—42no—
310#417—42no—
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×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×C4×C8C2311yescharacteristic
355#399—21no—
356#399—21no—
357#399—21no—
358#399—21no—
359#398—21no—
360#398—21no—
361#398—21no—
362#398—21no—
363#398D411yescharacteristic
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#397—21no—
373#397—21no—
374#397—21no—
375#397D411yescharacteristic
376#396—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—21no—
381#396D411yescharacteristic
382#396D411yescharacteristic
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394D411yescharacteristic
396#394D411yescharacteristic
397#394D411yescharacteristic
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392D411yescharacteristic
403#391—21no—
404#391C2311yescharacteristic
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390—21no—
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#389—21no—
423#389—21no—
424#389—21no—
425#389—21no—
426#389—21no—
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#387—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#384—21no—
463#382C2311yescharacteristic
464#381—21no—
465#381—21no—
466#381—21no—
467#381—21no—
468#380—21no—
469#380—21no—
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475C4×C4⋊C4C2311yescharacteristic
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C22⋊C4—21no—
480C4×C22⋊C4C2311yescharacteristic
481C4×C22⋊C4C2311yescharacteristic
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—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C22×Q8—21no—
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2×D411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C2×Q16—41no—
557C2×Q16—41no—
558C2×Q16—41no—
559C2×Q16—41no—
560C2×Q16—41no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×Q16—41no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×M16—41no—
593C2×M16—41no—
594C2×M16—41no—
595C2×M16—41no—
596C2×M16—41no—
597C2×M16—41no—
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C4⋊Q8—22no—
607C4⋊Q8—22no—
608C4⋊Q8—41no—
609C4⋊Q8—41no—
610C4⋊Q8—41no—
611C4⋊Q8—41no—
612#126—44no—
613#125—44no—
614#124—22no—
615#124—22no—
616#124—41no—
617#124—41no—
618#124—41no—
619#124—41no—
620#124—41no—
621#124—41no—
622#124—44no—
623#123—44no—
624#123—44no—
625#123—44no—
626C22⋊Q8—22no—
627C22⋊Q8—22no—
628C22⋊Q8—22no—
629C22⋊Q8—22no—
630C22⋊Q8—22no—
631C22⋊Q8—41no—
632C22⋊Q8—41no—
633C22⋊Q8—41no—
634C22⋊Q8—41no—
635C22⋊Q8—41no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640C22⋊Q8—44no—
641C22⋊Q8—44no—
642C22⋊Q8—44no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649#121—22no—
650#121—22no—
651#121—22no—
652#121—22no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—44no—
658#121—44no—
659#121—41no—
660#121—41no—
661#121—82no—
662#120—44no—
663#120—44no—
664C4×Q8—22no—
665C4×Q8—41no—
666C4×Q8—41no—
667C4×Q8—41no—
668C4×Q8—82no—
669C4×D4—22no—
670C4×D4—22no—
671C4×D4—22no—
672C4×D4—41no—
673C4×D4—41no—
674C4×D4—41no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—44no—
682C4×D4—82no—
683#117—41no—
684#117—41no—
685#117—41no—
686#117—41no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—22no—
689C2×C4⋊C4—22no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
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—21no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4—41no—
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4C2×D411yescharacteristic
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2×D411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
728C2×C4⋊C4C2411yescharacteristic
729C2×C4⋊C4C2411yescharacteristic
730C2×C4⋊C4C2411yescharacteristic
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—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—44no—
772C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C42—21no—
786C2×C42—21no—
787C2×C42—21no—
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794C2×C42C2411yescharacteristic
795#107—22no—
796#107—41no—
797#106—22no—
798#106—41no—
799C4⋊C8—41no—
800C4⋊C8—41no—
801C4⋊C8—41no—
802C4⋊C8—41no—
803#103—22no—
804#103—22no—
805#103—22no—
806#103—22no—
807#103—22no—
808#103—22no—
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#103—41no—
818#103—41no—
819#103—41no—
820#103—41no—
821#102—22no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—41no—
830#102—41no—
831#102—41no—
832#102—41no—
833#102—41no—
834#102—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—41no—
839C22⋊C8—41no—
840C22⋊C8—41no—
841C22⋊C8—41no—
842C22⋊C8—41no—
843C22⋊C8—41no—
844C22⋊C8—41no—
845#97—41no—
846C4×C8—41no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877#95C2×D411yescharacteristic
878C24—24no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24C22×D411yescharacteristic
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891#41—44no—
892#41—44no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899C2×Q8—24no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
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—81no—
925C2×Q8—81no—
926C2×D4—24no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—82no—
963C2×D4—82no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4H(5,𝔽2)12yes—
980C2×D4H(5,𝔽2)12yes—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C2511yescharacteristic
1045Q16—82no—
1046Q16—82no—
1047Q16—82no—
1048Q16—82no—
1049SD16—82no—
1050SD16—82no—
1051SD16—82no—
1052SD16—82no—
1053SD16—82no—
1054SD16—82no—
1055D8—82no—
1056D8—82no—
1057M16—82no—
1058M16—82no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C4⋊C4—24no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4H(5,𝔽2)12yes—
1130C4⋊C4H(5,𝔽2)12yes—
1131C4⋊C4H(5,𝔽2)12yes—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—42no—
1193C42—42no—
1194C42—42no—
1195C42—81no—
1196C42—81no—
1197C42—81no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—22no—
1213C23—22no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—84no—
1241C23—84no—
1242C23—84no—
1243C23—162no—
1244C23—162no—
1245C23—162no—
1246C23—162no—
1247C23C23×D411yescharacteristic
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—84no—
1265D4—22no—
1266D4—22no—
1267D4—22no—
1268D4—22no—
1269D4—44no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—84no—
1279D4—82no—
1280D4—82no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
1287D4—162no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—22no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—162no—
1375C2×C4—162no—
1376C2×C4—162no—
1377C2×C4—162no—
1378C2×C4—162no—
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4C2×H(5,𝔽2)11yescharacteristic
1381C2×C4C2×H(5,𝔽2)11yescharacteristic
1382C2×C4C2×H(5,𝔽2)11yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4#58511yescharacteristic
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—42no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—42no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—42no—
1416C22—42no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—168no—
1436C22#348411yescharacteristic
1437C22#348411yescharacteristic
1438C22#348811yescharacteristic
1439C22#358411yescharacteristic
1440C22#358511yescharacteristic
1441C22#358611yescharacteristic
1442C22#358611yescharacteristic
1443C4—42no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—42no—
1456C4—42no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4#354211yescharacteristic
1468C4#354211yescharacteristic
1469C4#354311yescharacteristic
1470C4#354311yescharacteristic
1471C2—81no—
1472C2—81no—
1473C2—81no—
1474C2—82no—
1475C2—82no—
1476C2—161no—
1477C2#4783111yescharacteristic
1478C2#6161311yescharacteristic
1479C2#6164611yescharacteristic
1480C2#6164711yescharacteristic
1481C2#6167811yescharacteristic
1482C2#6203011yescharacteristic
1483C2#6207611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45112C2semidirect
2. #42673C2semidirect
3. #31729C2semidirect
4. #31724C2semidirect
5. #30759C2semidirect
6. #30745C2semidirect
7. #30726C2semidirect
8. #30720C2semidirect
9. #30613C2semidirect
10. #30611C2semidirect
11. #30513C2semidirect
12. #30512C2semidirect
13. #30467C2semidirect
14. #30455C2semidirect
15. #30124C2semidirect
16. #29672C2semidirect
17. #28130C2semidirect
18. #26704C2semidirect
19. #26689C2semidirect
20. #26672C2semidirect
21. #26661C2semidirect
22. #25769C2semidirect
23. #25762C2semidirect
24. #25098C2semidirect
25. #25094C2semidirect
26. #24452C2semidirect
27. #24444C2semidirect
28. #23981C2semidirect
29. #23981C2semidirect
30. #23945C2semidirect
31. #23332C2semidirect
32. C2×#554C22semidirect
39. C2×#470C22semidirect
42. C2×#468C22semidirect
43. C2×#462C22semidirect
46. C2×#461C22semidirect
70. #2545C22semidirect
73. #2540C22semidirect
82. #2429C22semidirect
83. #2427C22semidirect
94. #2365C22semidirect
95. #2361C22semidirect
96. #2360C22semidirect
99. #2101C22semidirect
100. #2097C22semidirect
101. #2088C22semidirect
102. #2087C22semidirect
105. #2056C22semidirect
108. #2055C22semidirect
109. #2043C22semidirect
110. #2043C22semidirect
113. #2042C22semidirect
115. #2036C22semidirect
117. #2035C22semidirect
118. #2034C22semidirect
119. #2033C22semidirect
120. #2024C22semidirect
121. #2024C22semidirect
124. #2016C22semidirect
125. #2016C22semidirect
127. #2015C22semidirect
128. #2015C22semidirect
129. #2015C22semidirect
137. #2001C22semidirect
138. #2001C22semidirect
139. #2001C22semidirect
145. #2000C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1933C22semidirect
154. #1933C22semidirect
155. #1928C22semidirect
156. #1928C22semidirect
157. #1927C22semidirect
158. #1927C22semidirect
161. #1924C22semidirect
162. #1923C22semidirect
163. #1921C22semidirect
164. #1919C22semidirect
165. #1917C22semidirect
166. #1916C22semidirect
167. #1894C22semidirect
168. #1894C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
183. #1872C22semidirect
184. #1872C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
191. #1851C22semidirect
192. #1851C22semidirect
194. #1823C22semidirect
195. #1823C22semidirect
197. #1805C22semidirect
198. #1804C22semidirect

Maximal subgroups

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

subgroupindex
#451122
#426732
#317292
#317242
#307592
#307452
#307262
#307202
#306132
#306112
#305132
#305122
#304672
#304552
#301242
#296722
#281302
#267042
#266892
#266722
#266612
#257692
#257622
#250982
#250942
#244522
#244442
#239812
#239452
#233322