Finite Group Databasebeta

← #7337149

Subgroups — #7337149

Order 512.

1803 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53059C211yesmaximal, characteristic, complemented
2#45108C211yesmaximal, characteristic, complemented
3#32189C211yesmaximal, characteristic, complemented
4#31921C211yesmaximal, characteristic, complemented
5#31034C211yesmaximal, characteristic, complemented
6#31008C211yesmaximal, characteristic, complemented
7#30898C211yesmaximal, characteristic, complemented
8#30749C211yesmaximal, characteristic, complemented
9#30717C211yesmaximal, characteristic, complemented
10#30613C211yesmaximal, characteristic, complemented
11#30536C211yesmaximal, characteristic, complemented
12#30474C211yesmaximal, characteristic, complemented
13#30471C211yesmaximal, characteristic, complemented
14#30470C211yesmaximal, characteristic, complemented
15#29729C211yesmaximal, characteristic, complemented
16#29669C211yesmaximal, characteristic, complemented
17#29095C211yesmaximal, characteristic, complemented
18#29003C211yesmaximal, characteristic, complemented
19#28479C211yesmaximal, characteristic, complemented
20#28325C211yesmaximal, characteristic, complemented
21#27087C211yesmaximal, characteristic, complemented
22#26942C211yesmaximal, characteristic, complemented
23#26633C211yesmaximal, characteristic, complemented
24#25793C211yesmaximal, characteristic, complemented
25#25770C211yesmaximal, characteristic, complemented
26#25610C211yesmaximal, characteristic, complemented
27#25380C211yesmaximal, characteristic, complemented
28#24909C211yesmaximal, characteristic, complemented
29#24366C211yesmaximal, characteristic, complemented
30#23863C211yesmaximal, characteristic, complemented
31#22370C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#542C2211yescharacteristic
35C2×#497C2211yescharacteristic, complemented
36C2×#496C2211yescharacteristic
37C2×#496C2211yescharacteristic
38C2×#495C2211yescharacteristic
39C2×#489C2211yescharacteristic, complemented
40C2×#481C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic
43C2×#460C2211yescharacteristic, complemented
44C2×#463C2211yescharacteristic
45C2×#463C2211yescharacteristic
46C2×#461C2211yescharacteristic, complemented
47C2×#459C2211yescharacteristic
48C2×#459C2211yescharacteristic
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic
51C2×#452C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#449C2211yescharacteristic
54C2×#449C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#442C2211yescharacteristic
58#2825—21no—
59#2825—21no—
60#2818—21no—
61#2813—21no—
62#2749—21no—
63#2708—21no—
64#2695—21no—
65#2691—21no—
66#2688—21no—
67#2687—21no—
68#2684—21no—
69#2673—21no—
70#2620C2211yescharacteristic, complemented
71#2619C2211yescharacteristic, complemented
72#2547C2211yescharacteristic
73#2544C2211yescharacteristic, complemented
74#2541C2211yescharacteristic
75#2541C2211yescharacteristic, complemented
76#2534—21no—
77#2514C2211yescharacteristic, complemented
78#2512C2211yescharacteristic, complemented
79#2492C2211yescharacteristic
80#2480—21no—
81#2452C2211yescharacteristic
82#2447C2211yescharacteristic
83#2437—21no—
84#2435C2211yescharacteristic
85#2432C2211yescharacteristic
86#2431C2211yescharacteristic
87#2431C2211yescharacteristic
88#2429C2211yescharacteristic
89#2428C2211yescharacteristic, complemented
90#2427—21no—
91#2427C2211yescharacteristic, complemented
92#2422C2211yescharacteristic
93#2420C2211yescharacteristic
94#2417C2211yescharacteristic
95#2407C2211yescharacteristic
96#2395C2211yescharacteristic
97#2367C2211yescharacteristic
98#2361C2211yescharacteristic
99D4×C22⋊C4C2211yescharacteristic
100#2311C2211yescharacteristic
101#2097C2211yescharacteristic, complemented
102#2092C2211yescharacteristic
103#2087C2211yescharacteristic, complemented
104#2077C2211yescharacteristic
105#2072C2211yescharacteristic, complemented
106#2071C2211yescharacteristic
107#2066C2211yescharacteristic, complemented
108#2065C2211yescharacteristic
109#2056C2211yescharacteristic, complemented
110#2056C2211yescharacteristic, complemented
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic, complemented
113#2055C2211yescharacteristic, complemented
114#2054C2211yescharacteristic
115#2054C2211yescharacteristic
116#2043C2211yescharacteristic, complemented
117#2042C2211yescharacteristic
118#2042C2211yescharacteristic, complemented
119#2041C2211yescharacteristic, complemented
120#2035C2211yescharacteristic
121#2033C2211yescharacteristic
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic, complemented
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2014C2211yescharacteristic, complemented
130#2013C2211yescharacteristic, complemented
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1990C2211yescharacteristic, complemented
150#1983C2211yescharacteristic
151#1982C2211yescharacteristic, complemented
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic, complemented
154#1972C2211yescharacteristic
155#1971C2211yescharacteristic, complemented
156#1970C2211yescharacteristic
157#1968C2211yescharacteristic, complemented
158#1959C2211yescharacteristic
159#1955C2211yescharacteristic
160#1940C2211yescharacteristic, complemented
161#1936C2211yescharacteristic
162#1936C2211yescharacteristic, complemented
163#1936C2211yescharacteristic, complemented
164#1935C2211yescharacteristic, complemented
165#1928C2211yescharacteristic, complemented
166#1928C2211yescharacteristic, complemented
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic
169#1924C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1921C2211yescharacteristic, complemented
172#1920C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1895C2211yescharacteristic
176#1894C2211yescharacteristic
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1878C2211yescharacteristic, complemented
184#1877C2211yescharacteristic
185#1877C2211yescharacteristic
186#1877C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1864C2211yescharacteristic, complemented
191#1862C2211yescharacteristic
192#1851C2211yescharacteristic
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic
198#1771C2211yescharacteristic, complemented
199#1762C2211yescharacteristic
200#1762C2211yescharacteristic, complemented
201#1753C2211yescharacteristic
202#1750C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226#546—42no—
227#546—42no—
228#542—42no—
229#542—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127—21no—
233C2×#127C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#126—21no—
237C2×#126—21no—
238C2×#124—21no—
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×C22⋊Q8—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×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×C4×Q8C2311yescharacteristic
265C2×C4×D4—21no—
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C22⋊C4—21no—
275C22×C22⋊C4—21no—
276#497—42no—
277#496—42no—
278#496—42no—
279#495—42no—
280#489—42no—
281#481—42no—
282#480—42no—
283#468—42no—
284#463—42no—
285#463—42no—
286#461—42no—
287#460—42no—
288#459—42no—
289#459—42no—
290#452—42no—
291#452—42no—
292#452—42no—
293#449—42no—
294#449—42no—
295#449—42no—
296#447—42no—
297#447—42no—
298#442—42no—
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×C4⋊C8C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×#97C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×C4×C8C2311yescharacteristic
352#401—21no—
353#400—21no—
354#400—21no—
355#400D411yescharacteristic
356#399D411yescharacteristic
357#398—21no—
358#398—21no—
359#398D411yescharacteristic
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397—21no—
367#397—21no—
368#397D411yescharacteristic
369#397D411yescharacteristic
370#397D411yescharacteristic
371#396—21no—
372#396—21no—
373#396—21no—
374#396—21no—
375#396—21no—
376#396—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394D411yescharacteristic
393#394D411yescharacteristic
394#393—21no—
395#393—21no—
396#392—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#391—21no—
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#390—21no—
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2311yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#389—21no—
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#387—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—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#384C2311yescharacteristic
463#383—21no—
464#382C2311yescharacteristic
465#381—21no—
466#381—21no—
467#380—21no—
468#380—21no—
469#380—21no—
470#380—21no—
471#380—21no—
472#380—21no—
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#379—21no—
476#379—21no—
477#379—21no—
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
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—41no—
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×D4—21no—
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—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4C2×D411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562AGL(1,ℤ/8)—416no—
563C2×Q16—22no—
564C2×Q16—41no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×Q16—41no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
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×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×D8—22no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—22no—
600C2×D8—22no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×M16—22no—
612C2×M16—41no—
613C2×M16—41no—
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C4⋊Q8—22no—
623C4⋊Q8—41no—
624C4⋊Q8—41no—
625C4⋊Q8—41no—
626#127—41no—
627#127—41no—
628#127—41no—
629#127—41no—
630#127—41no—
631#127—41no—
632#127—82no—
633#126—44no—
634#126—82no—
635#124—22no—
636#124—22no—
637#124—22no—
638#124—41no—
639#124—41no—
640#124—41no—
641#124—41no—
642#124—41no—
643#124—41no—
644#124—41no—
645#124—44no—
646#123—44no—
647#123—44no—
648#123—82no—
649C22⋊Q8—22no—
650C22⋊Q8—44no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653C22⋊Q8—41no—
654C22⋊Q8—41no—
655C22⋊Q8—41no—
656C22⋊Q8—41no—
657C22⋊Q8—41no—
658C22⋊Q8—82no—
659#121—22no—
660#121—22no—
661#121—44no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—82no—
673#121—82no—
674#121—82no—
675#120—44no—
676C4×Q8—22no—
677C4×Q8—41no—
678C4×D4—22no—
679C4×D4—22no—
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—82no—
691#117—41no—
692#117—41no—
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—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4C2×D411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
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—21no—
770C2×C22⋊C4—44no—
771C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
782C2×C42—21no—
783C2×C42—21no—
784C2×C42—21no—
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789C2×C42C2411yescharacteristic
790#107—22no—
791#107—41no—
792#106—22no—
793#106—41no—
794C4⋊C8—22no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797C4⋊C8—41no—
798C4⋊C8—41no—
799#103—22no—
800#103—22no—
801#103—41no—
802#103—41no—
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#102—22no—
812#102—22no—
813#102—22no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830#102—41no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838#97—22no—
839#97—41no—
840#97—41no—
841#97—41no—
842C4×C8—41no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
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#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876#95C2×D411yescharacteristic
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—42no—
883C24—42no—
884C24—42no—
885C24—81no—
886C24—81no—
887C24—81no—
888C24—81no—
889C24C22×D411yescharacteristic
890C24C22×D411yescharacteristic
891#41—44no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899C2×Q8—21no—
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—42no—
918C2×Q8—81no—
919C2×Q8—81no—
920C2×D4—24no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
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—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—41no—
950C2×D4—41no—
951C2×D4—41no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—44no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
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—82no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4—81no—
999C2×D4—81no—
1000C2×D4H(5,𝔽2)12yes—
1001C2×D4H(5,𝔽2)12yes—
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—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
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—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4C2511yescharacteristic
1062Q16—82no—
1063Q16—82no—
1064SD16—44no—
1065SD16—44no—
1066SD16—82no—
1067SD16—82no—
1068SD16—82no—
1069SD16—82no—
1070SD16—82no—
1071SD16—82no—
1072D8—44no—
1073D8—44no—
1074D8—44no—
1075D8—82no—
1076D8—82no—
1077D8—82no—
1078M16—44no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—21no—
1096C2×C8—21no—
1097C2×C8—21no—
1098C2×C8—21no—
1099C2×C8—21no—
1100C2×C8—21no—
1101C2×C8H(5,𝔽2)12yes—
1102C2×C8H(5,𝔽2)12yes—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4—81no—
1139C4⋊C4—81no—
1140C4⋊C4H(5,𝔽2)12yes—
1141C22⋊C4—24no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
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—81no—
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—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—21no—
1201C42—21no—
1202C42—21no—
1203C42—21no—
1204C42—21no—
1205C42—21no—
1206C42—42no—
1207C42—42no—
1208C42—81no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—22no—
1218C23—21no—
1219C23—21no—
1220C23—22no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
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—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—84no—
1259C23—84no—
1260C23—84no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23C23×D411yescharacteristic
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276Q8—41no—
1277Q8—41no—
1278Q8—162no—
1279D4—22no—
1280D4—22no—
1281D4—22no—
1282D4—22no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—84no—
1300D4—82no—
1301D4—84no—
1302D4—84no—
1303D4—84no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—22no—
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—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—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—84no—
1393C2×C4—84no—
1394C2×C4—162no—
1395C2×C4—162no—
1396C2×C4—162no—
1397C2×C4—162no—
1398C2×C4—162no—
1399C2×C4—162no—
1400C2×C4C2×H(5,𝔽2)11yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4#58511yescharacteristic
1406C8—22no—
1407C8—22no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—42no—
1418C22—41no—
1419C22—41no—
1420C22—42no—
1421C22—41no—
1422C22—41no—
1423C22—42no—
1424C22—41no—
1425C22—41no—
1426C22—42no—
1427C22—42no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—168no—
1464C22#348411yescharacteristic
1465C22#348811yescharacteristic
1466C22#349811yescharacteristic
1467C22#358511yescharacteristic
1468C22#358511yescharacteristic
1469C22#358511yescharacteristic
1470C22#358611yescharacteristic
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—42no—
1482C4—41no—
1483C4—41no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4#353211yescharacteristic
1495C4#353411yescharacteristic
1496C4#354311yescharacteristic
1497C4#354611yescharacteristic
1498C2—81no—
1499C2—81no—
1500C2—82no—
1501C2—82no—
1502C2—161no—
1503C2—161no—
1504C2—161no—
1505C2#4795211yescharacteristic
1506C2#6165611yescharacteristic
1507C2#6166911yescharacteristic
1508C2#6207611yescharacteristic
1509C2#6207911yescharacteristic
1510C2#6244311yescharacteristic
1511C2#6244611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53059C2semidirect
2. #45108C2semidirect
3. #32189C2semidirect
4. #31921C2semidirect
5. #31034C2semidirect
6. #31008C2semidirect
7. #30898C2semidirect
8. #30749C2semidirect
9. #30717C2semidirect
10. #30613C2semidirect
11. #30536C2semidirect
12. #30474C2semidirect
13. #30471C2semidirect
14. #30470C2semidirect
15. #29729C2semidirect
16. #29669C2semidirect
17. #29095C2semidirect
18. #29003C2semidirect
19. #28479C2semidirect
20. #28325C2semidirect
21. #27087C2semidirect
22. #26942C2semidirect
23. #26633C2semidirect
24. #25793C2semidirect
25. #25770C2semidirect
26. #25610C2semidirect
27. #25380C2semidirect
28. #24909C2semidirect
29. #24366C2semidirect
30. #23863C2semidirect
31. #22370C2semidirect
35. C2×#497C22semidirect
39. C2×#489C22semidirect
40. C2×#481C22semidirect
41. C2×#480C22semidirect
43. C2×#460C22semidirect
46. C2×#461C22semidirect
70. #2620C22semidirect
71. #2619C22semidirect
73. #2544C22semidirect
75. #2541C22semidirect
77. #2514C22semidirect
78. #2512C22semidirect
89. #2428C22semidirect
91. #2427C22semidirect
101. #2097C22semidirect
103. #2087C22semidirect
105. #2072C22semidirect
107. #2066C22semidirect
109. #2056C22semidirect
110. #2056C22semidirect
112. #2055C22semidirect
113. #2055C22semidirect
116. #2043C22semidirect
118. #2042C22semidirect
119. #2041C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
126. #2015C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
129. #2014C22semidirect
130. #2013C22semidirect
138. #2001C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
149. #1990C22semidirect
151. #1982C22semidirect
153. #1973C22semidirect
155. #1971C22semidirect
157. #1968C22semidirect
160. #1940C22semidirect
162. #1936C22semidirect
163. #1936C22semidirect
164. #1935C22semidirect
165. #1928C22semidirect
166. #1928C22semidirect
169. #1924C22semidirect
170. #1924C22semidirect
171. #1921C22semidirect
172. #1920C22semidirect
173. #1917C22semidirect
174. #1917C22semidirect
177. #1880C22semidirect
183. #1878C22semidirect
186. #1877C22semidirect
187. #1874C22semidirect
188. #1872C22semidirect
190. #1864C22semidirect
193. #1805C22semidirect
195. #1798C22semidirect
198. #1771C22semidirect
200. #1762C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#530592
#451082
#321892
#319212
#310342
#310082
#308982
#307492
#307172
#306132
#305362
#304742
#304712
#304702
#297292
#296692
#290952
#290032
#284792
#283252
#270872
#269422
#266332
#257932
#257702
#256102
#253802
#249092
#243662
#238632
#223702