Finite Group Databasebeta

← #6754248

Subgroups — #6754248

Order 512.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1475 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36124C211yesmaximal, characteristic, complemented
2#34788C211yesmaximal, characteristic, complemented
3#33110C211yesmaximal, characteristic, complemented
4#32183C211yesmaximal, characteristic, complemented
5#32179C211yesmaximal, characteristic, complemented
6#32101C211yesmaximal, characteristic, complemented
7#32097C211yesmaximal, characteristic, complemented
8#31313C211yesmaximal, characteristic, complemented
9#31311C211yesmaximal, characteristic, complemented
10#30549C211yesmaximal, characteristic, complemented
11#30548C211yesmaximal, characteristic, complemented
12#29924C211yesmaximal, characteristic, complemented
13#29800C211yesmaximal, characteristic, complemented
14#29261C211yesmaximal, characteristic, complemented
15#28757C211yesmaximal, characteristic, complemented
16#28348C211yesmaximal, characteristic, complemented
17#28341C211yesmaximal, characteristic, complemented
18#27268C211yesmaximal, characteristic, complemented
19#27264C211yesmaximal, characteristic, complemented
20#24754C211yesmaximal, characteristic, complemented
21#24656C211yesmaximal, characteristic, complemented
22#24439C211yesmaximal, characteristic, complemented
23#24434C211yesmaximal, characteristic, complemented
24#24215C211yesmaximal, characteristic, complemented
25#24214C211yesmaximal, characteristic, complemented
26#24039C211yesmaximal, characteristic, complemented
27#24036C211yesmaximal, characteristic, complemented
28#22750C211yesmaximal, characteristic, complemented
29#22155C211yesmaximal, characteristic, complemented
30#21812C211yesmaximal, characteristic, complemented
31C2×#1983C211yesmaximal, characteristic, complemented
32C2×#548C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C2×#491C2211yescharacteristic, complemented
37C2×#490C2211yescharacteristic
38C2×#484C2211yescharacteristic
39C2×#481C2211yescharacteristic
40C2×#466C2211yescharacteristic
41C2×#465C2211yescharacteristic
42C2×#463C2211yescharacteristic
43C2×#463C2211yescharacteristic
44C2×#463C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic, complemented
47C2×#448C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#432C2211yescharacteristic, complemented
50C22×C4⋊C8C2211yescharacteristic
51C22×#103C2211yescharacteristic
52C22×#103C2211yescharacteristic
53C22×#102C2211yescharacteristic
54C22×#102C2211yescharacteristic
55#2858C2211yescharacteristic
56#2850C2211yescharacteristic
57#2850C2211yescharacteristic
58#2555—21no—
59#2555—21no—
60#2545C2211yescharacteristic
61#2544C2211yescharacteristic
62#2525—21no—
63#2516—21no—
64#2513C2211yescharacteristic, complemented
65#2510—21no—
66#2509C2211yescharacteristic, complemented
67#2504C2211yescharacteristic
68#2494C2211yescharacteristic, complemented
69#2490C2211yescharacteristic, complemented
70#2487C2211yescharacteristic
71#2461—21no—
72#2461—21no—
73#2444—21no—
74#2442C2211yescharacteristic
75#2434C2211yescharacteristic
76#2433C2211yescharacteristic
77#2432C2211yescharacteristic
78#2431C2211yescharacteristic
79#2424—21no—
80#2424—21no—
81#2416C2211yescharacteristic
82#2401—21no—
83#2395—21no—
84#2358—21no—
85#2358—21no—
86C4×#125C2211yescharacteristic, complemented
87C4×#124C2211yescharacteristic
88C4×#121—21no—
89C4×#121C2211yescharacteristic
90C4×#121C2211yescharacteristic, complemented
91#2293C2211yescharacteristic, complemented
92#2290—21no—
93#2283C2211yescharacteristic, complemented
94C42×D4C2211yescharacteristic
95C2×C4×C4⋊C4C2211yescharacteristic
96#2097C2211yescharacteristic, complemented
97#2097C2211yescharacteristic, complemented
98#2092C2211yescharacteristic
99#2092C2211yescharacteristic
100#2074C2211yescharacteristic, complemented
101#2073C2211yescharacteristic
102#2068C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2043C2211yescharacteristic, complemented
107#2043C2211yescharacteristic, complemented
108#2042C2211yescharacteristic
109#2042C2211yescharacteristic
110#2042C2211yescharacteristic
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic
113#2042C2211yescharacteristic, complemented
114#2042C2211yescharacteristic, complemented
115#2042C2211yescharacteristic, complemented
116#2041C2211yescharacteristic
117#2041C2211yescharacteristic
118#2036C2211yescharacteristic, complemented
119#2035C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2034C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic
124#2026C2211yescharacteristic, complemented
125#2025C2211yescharacteristic
126#2013C2211yescharacteristic, complemented
127#2013C2211yescharacteristic, complemented
128#2012C2211yescharacteristic
129#2012C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic, complemented
132#2011C2211yescharacteristic
133#2011C2211yescharacteristic
134#2000C2211yescharacteristic, complemented
135#1999C2211yescharacteristic
136#1983C2211yescharacteristic
137#1983C2211yescharacteristic
138#1983C2211yescharacteristic
139#1983C2211yescharacteristic
140#1983C2211yescharacteristic
141#1983C2211yescharacteristic
142#1983C2211yescharacteristic
143#1983C2211yescharacteristic
144#1983C2211yescharacteristic
145#1983C2211yescharacteristic
146#1983C2211yescharacteristic, complemented
147#1983C2211yescharacteristic, complemented
148#1983C2211yescharacteristic, complemented
149#1973C2211yescharacteristic, complemented
150#1973C2211yescharacteristic, complemented
151#1972C2211yescharacteristic
152#1972C2211yescharacteristic
153#1961C2211yescharacteristic
154#1961C2211yescharacteristic
155#1961C2211yescharacteristic
156#1960C2211yescharacteristic, complemented
157#1960C2211yescharacteristic, complemented
158#1960C2211yescharacteristic, complemented
159#1949C2211yescharacteristic, complemented
160#1949C2211yescharacteristic, complemented
161#1949C2211yescharacteristic, complemented
162#1936C2211yescharacteristic
163#1936C2211yescharacteristic
164#1935C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1927C2211yescharacteristic, complemented
167#1927C2211yescharacteristic, complemented
168#1925C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1924C2211yescharacteristic, complemented
172#1917C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1893C2211yescharacteristic
175#1892C2211yescharacteristic
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic
178#1874C2211yescharacteristic
179#1872C2211yescharacteristic
180#1869C2211yescharacteristic
181#1869C2211yescharacteristic
182#1865C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic
185#1863C2211yescharacteristic, complemented
186#1862C2211yescharacteristic
187#1862C2211yescharacteristic
188#1831C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1797C2211yescharacteristic
191#1797C2211yescharacteristic, complemented
192#1788C2211yescharacteristic
193#1788C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic
199#1786C2211yescharacteristic
200#1767C2211yescharacteristic, complemented
201#1752C2211yescharacteristic
202#1752C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#548—42no—
216#548—42no—
217#546—42no—
218#546—42no—
219#532—24no—
220#532—42no—
221C2×C4⋊Q8C2311yescharacteristic
222C2×C4⋊Q8C2311yescharacteristic
223C2×#127C2311yescharacteristic
224C2×#127C2311yescharacteristic
225C2×#125C2311yescharacteristic
226C2×#124—21no—
227C2×#124—24no—
228C2×#124—21no—
229C2×#124—21no—
230C2×#124—42no—
231C2×#124C2311yescharacteristic
232C2×#124C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#123—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#120—21no—
252C2×#120—21no—
253C2×#120—21no—
254C2×C4×Q8C2311yescharacteristic
255C2×C4×D4—21no—
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4D411yescharacteristic
261C2×C4×D4D411yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×#117—21no—
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C22⋊C4—21no—
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271C22×C42—21no—
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274#491—42no—
275#490—42no—
276#484—42no—
277#481—42no—
278#466—42no—
279#465—42no—
280#463—24no—
281#463—42no—
282#463—42no—
283#449—42no—
284#449—42no—
285#448—42no—
286#447—42no—
287#432—42no—
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×C4⋊C8—42no—
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×#103—42no—
302C2×#103—42no—
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#102—42no—
325C2×#102—42no—
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×#97C2311yescharacteristic
357C2×#97C2311yescharacteristic
358C2×#97C2311yescharacteristic
359#401—21no—
360#400—21no—
361#400—21no—
362#400—21no—
363#400—21no—
364#399—21no—
365#398—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397—21no—
372#396—21no—
373#396—21no—
374#396—21no—
375#395—21no—
376#395—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#389—21no—
403#389C2311yescharacteristic
404#389C2311yescharacteristic
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#387—21no—
426#387—21no—
427#387—21no—
428#387—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#383—21no—
450#382C2311yescharacteristic
451#382C2311yescharacteristic
452#382C2311yescharacteristic
453#382C2311yescharacteristic
454#381—21no—
455#380—21no—
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460C4×C4⋊C4—21no—
461C4×C4⋊C4—21no—
462C4×C4⋊C4—21no—
463C4×C4⋊C4—21no—
464C4×C4⋊C4D411yescharacteristic
465C4×C4⋊C4D411yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4—21no—
478C4×C22⋊C4D411yescharacteristic
479C4×C22⋊C4D411yescharacteristic
480C4×C22⋊C4D411yescharacteristic
481C4×C22⋊C4D411yescharacteristic
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484#376—21no—
485C2×#95—21no—
486C43C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C22×Q8—21no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—22no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8—41no—
525C22×Q8C2411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×Q8C2411yescharacteristic
528C22×D4—22no—
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—22no—
541C22×D4—22no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4C2×D411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4C2×D411yescharacteristic
558C23×C4C2×D411yescharacteristic
559C23×C4C2×D411yescharacteristic
560C23×C4C2×D411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C2×SD16—22no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×D8—22no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C22×C8—22no—
582C22×C8—22no—
583C22×C8—41no—
584C22×C8—41no—
585C22×C8—41no—
586C22×C8—41no—
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C4⋊Q8—22no—
596C4⋊Q8—41no—
597C4⋊Q8—41no—
598C4⋊Q8—41no—
599#127—22no—
600#127—41no—
601#127—41no—
602#127—41no—
603#125—22no—
604#125—41no—
605#124—22no—
606#124—22no—
607#124—22no—
608#124—22no—
609#124—22no—
610#124—22no—
611#124—22no—
612#124—44no—
613#124—44no—
614#124—41no—
615#124—41no—
616#124—41no—
617#124—41no—
618#124—41no—
619#124—41no—
620#124—44no—
621#124#4114yes—
622#123—44no—
623C22⋊Q8—22no—
624C22⋊Q8—22no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—44no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—44no—
634#121—44no—
635#121—44no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—44no—
640#121—44no—
641#120—44no—
642#120—44no—
643#120—44no—
644C4×Q8—41no—
645C4×Q8—41no—
646C4×D4—22no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—22no—
650C4×D4—44no—
651C4×D4—44no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—42no—
655C4×D4—42no—
656C4×D4—44no—
657C4×D4—44no—
658C4×D4—82no—
659#117—82no—
660C2×C4⋊C4—22no—
661C2×C4⋊C4—22no—
662C2×C4⋊C4—22no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—21no—
665C2×C4⋊C4—21no—
666C2×C4⋊C4—21no—
667C2×C4⋊C4—21no—
668C2×C4⋊C4—21no—
669C2×C4⋊C4—21no—
670C2×C4⋊C4—21no—
671C2×C4⋊C4—21no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—21no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4C2×D411yescharacteristic
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
698C2×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
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—44no—
734C2×C22⋊C4—44no—
735C2×C22⋊C4—44no—
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C42—22no—
743C2×C42—22no—
744C2×C42—22no—
745C2×C42—22no—
746C2×C42—21no—
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—21no—
751C2×C42—21no—
752C2×C42—82no—
753C2×C42C2×D411yescharacteristic
754C2×C42C2×D411yescharacteristic
755C2×C42C2×D411yescharacteristic
756C2×C42C2×D411yescharacteristic
757C2×C42C2×D411yescharacteristic
758C2×C42C2×D411yescharacteristic
759C2×C42C2×D411yescharacteristic
760C2×C42C2×D411yescharacteristic
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766#107—41no—
767#107—41no—
768#107—41no—
769#106—41no—
770#106—41no—
771#106—41no—
772C4⋊C8—22no—
773C4⋊C8—22no—
774C4⋊C8—22no—
775C4⋊C8—22no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778#103—22no—
779#103—22no—
780#103—22no—
781#103—22no—
782#103—41no—
783#103—41no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#103—41no—
789#103—41no—
790#103—41no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#103—41no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822C22⋊C8—22no—
823C22⋊C8—22no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828#97—41no—
829#97—41no—
830#97—41no—
831#97—41no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
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#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—42no—
872C24—42no—
873C24—42no—
874C24—42no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24C22×D411yescharacteristic
879C24C22×D411yescharacteristic
880#41—82no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885#41—82no—
886#41—82no—
887#41—82no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—42no—
906C2×Q8—44no—
907C2×Q8—44no—
908C2×Q8—42no—
909C2×Q8—81no—
910C2×Q8—82no—
911C2×Q8—82no—
912C2×Q8C2×#4112yes—
913C2×D4—22no—
914C2×D4—22no—
915C2×D4—22no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
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—44no—
940C2×D4—44no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
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—42no—
961C2×D4—42no—
962C2×D4—82no—
963C2×D4—82no—
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×D4C2×#4112yes—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—22no—
994C22×C4—22no—
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—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
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×C4C22×D411yescharacteristic
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×C4H(5,𝔽2)12yes—
1045C22×C4H(5,𝔽2)12yes—
1046C22×C4C2511yescharacteristic
1047SD16—82no—
1048SD16—82no—
1049SD16—82no—
1050D8—82no—
1051D8—82no—
1052D8—82no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
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—82no—
1078C2×C8—82no—
1079C4⋊C4—22no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
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—41no—
1098C4⋊C4—41no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4H(5,𝔽2)12yes—
1117C22⋊C4—22no—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—24no—
1122C22⋊C4—24no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
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—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C42—22no—
1164C42—22no—
1165C42—22no—
1166C42—22no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—41no—
1176C42—41no—
1177C42—41no—
1178C42—41no—
1179C42—42no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—81no—
1184C42—81no—
1185C42C2×#4112yes—
1186C42H(5,𝔽2)12yes—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—22no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—84no—
1227C23—84no—
1228C23—84no—
1229C23—84no—
1230C23—162no—
1231C23—162no—
1232C23—162no—
1233C23#53512yes—
1234C23#57512yes—
1235C23#57512yes—
1236C23C23×D411yescharacteristic
1237Q8—22no—
1238Q8—22no—
1239Q8—41no—
1240Q8—41no—
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—41no—
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—84no—
1250D4—22no—
1251D4—22no—
1252D4—44no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—84no—
1268D4—84no—
1269D4—84no—
1270D4—84no—
1271D4—84no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
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—22no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—22no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
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—82no—
1358C2×C4—82no—
1359C2×C4—84no—
1360C2×C4—84no—
1361C2×C4—84no—
1362C2×C4—84no—
1363C2×C4—84no—
1364C2×C4—84no—
1365C2×C4—162no—
1366C2×C4#53512yes—
1367C2×C4#54612yes—
1368C2×C4#54612yes—
1369C2×C4C22×#4111yescharacteristic
1370C2×C4C2×H(5,𝔽2)11yescharacteristic
1371C2×C4C2×H(5,𝔽2)11yescharacteristic
1372C2×C4C2×H(5,𝔽2)11yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4#58511yescharacteristic
1375C8—41no—
1376C8—41no—
1377C8—41no—
1378C8—41no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—42no—
1394C22—41no—
1395C22—41no—
1396C22—42no—
1397C22—41no—
1398C22—42no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—168no—
1425C22#321914yes—
1426C22C2×#53511yescharacteristic
1427C22C2×#54611yescharacteristic
1428C22#348811yescharacteristic
1429C22C2×#57511yescharacteristic
1430C22C2×#57511yescharacteristic
1431C22#358411yescharacteristic
1432C22#358511yescharacteristic
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—41no—
1437C4—42no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—42no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4#351311yescharacteristic
1458C4#351911yescharacteristic
1459C4#354311yescharacteristic
1460C4#355811yescharacteristic
1461C2—24no—
1462C2—81no—
1463C2—82no—
1464C2—161no—
1465C2—161no—
1466C2—161no—
1467C2#3802611yescharacteristic
1468C2C2×#321911yescharacteristic
1469C2#6083411yescharacteristic
1470C2#6114111yescharacteristic
1471C2#6116411yescharacteristic
1472C2#6197111yescharacteristic
1473C2#6199211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36124C2semidirect
2. #34788C2semidirect
3. #33110C2semidirect
4. #32183C2semidirect
5. #32179C2semidirect
6. #32101C2semidirect
7. #32097C2semidirect
8. #31313C2semidirect
9. #31311C2semidirect
10. #30549C2semidirect
11. #30548C2semidirect
12. #29924C2semidirect
13. #29800C2semidirect
14. #29261C2semidirect
15. #28757C2semidirect
16. #28348C2semidirect
17. #28341C2semidirect
18. #27268C2semidirect
19. #27264C2semidirect
20. #24754C2semidirect
21. #24656C2semidirect
22. #24439C2semidirect
23. #24434C2semidirect
24. #24215C2semidirect
25. #24214C2semidirect
26. #24039C2semidirect
27. #24036C2semidirect
28. #22750C2semidirect
29. #22155C2semidirect
30. #21812C2semidirect
31. C2×#1983C2semidirect
36. C2×#491C22semidirect
44. C2×#463C22semidirect
46. C2×#449C22semidirect
49. C2×#432C22semidirect
64. #2513C22semidirect
66. #2509C22semidirect
68. #2494C22semidirect
69. #2490C22semidirect
86. C4×#125C22semidirect
90. C4×#121C22semidirect
91. #2293C22semidirect
93. #2283C22semidirect
96. #2097C22semidirect
97. #2097C22semidirect
100. #2074C22semidirect
102. #2068C22semidirect
103. #2065C22semidirect
104. #2055C22semidirect
105. #2054C22semidirect
106. #2043C22semidirect
107. #2043C22semidirect
113. #2042C22semidirect
114. #2042C22semidirect
115. #2042C22semidirect
118. #2036C22semidirect
119. #2035C22semidirect
120. #2035C22semidirect
124. #2026C22semidirect
126. #2013C22semidirect
127. #2013C22semidirect
131. #2012C22semidirect
134. #2000C22semidirect
146. #1983C22semidirect
147. #1983C22semidirect
148. #1983C22semidirect
149. #1973C22semidirect
150. #1973C22semidirect
156. #1960C22semidirect
157. #1960C22semidirect
158. #1960C22semidirect
159. #1949C22semidirect
160. #1949C22semidirect
161. #1949C22semidirect
164. #1935C22semidirect
165. #1935C22semidirect
166. #1927C22semidirect
167. #1927C22semidirect
168. #1925C22semidirect
169. #1925C22semidirect
170. #1924C22semidirect
171. #1924C22semidirect
172. #1917C22semidirect
173. #1917C22semidirect
176. #1880C22semidirect
182. #1865C22semidirect
183. #1865C22semidirect
185. #1863C22semidirect
188. #1831C22semidirect
189. #1804C22semidirect
191. #1797C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
200. #1767C22semidirect

Maximal subgroups

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

subgroupindex
#361242
#347882
#331102
#321832
#321792
#321012
#320972
#313132
#313112
#305492
#305482
#299242
#298002
#292612
#287572
#283482
#283412
#272682
#272642
#247542
#246562
#244392
#244342
#242152
#242142
#240392
#240362
#227502
#221552
#218122
C2×#19832