Finite Group Databasebeta

← #6761966

Subgroups — #6761966

Order 512.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1543 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39462C211yesmaximal, characteristic, complemented
2#39334C211yesmaximal, characteristic, complemented
3#32932C211yesmaximal, characteristic, complemented
4#32043C211yesmaximal, characteristic, complemented
5#32002C211yesmaximal, characteristic, complemented
6#31406C211yesmaximal, characteristic, complemented
7#31399C211yesmaximal, characteristic, complemented
8#31332C211yesmaximal, characteristic, complemented
9#31274C211yesmaximal, characteristic, complemented
10#30708C211yesmaximal, characteristic, complemented
11#30397C211yesmaximal, characteristic, complemented
12#30198C211yesmaximal, characteristic, complemented
13#29738C211yesmaximal, characteristic, complemented
14#29161C211yesmaximal, characteristic, complemented
15#28573C211yesmaximal, characteristic, complemented
16#26222C211yesmaximal, characteristic, complemented
17#26215C211yesmaximal, characteristic, complemented
18#25532C211yesmaximal, characteristic, complemented
19#24938C211yesmaximal, characteristic, complemented
20#24873C211yesmaximal, characteristic, complemented
21#24567C211yesmaximal, characteristic, complemented
22#24563C211yesmaximal, characteristic, complemented
23#24434C211yesmaximal, characteristic, complemented
24#24397C211yesmaximal, characteristic, complemented
25#24390C211yesmaximal, characteristic, complemented
26#24050C211yesmaximal, characteristic, complemented
27#23973C211yesmaximal, characteristic, complemented
28#22190C211yesmaximal, characteristic, complemented
29#21772C211yesmaximal, characteristic, complemented
30#20975C211yesmaximal, characteristic, complemented
31#20900C211yesmaximal, characteristic, complemented
32C22×#131C2211yescharacteristic
33C2×#553C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#537C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C2×#485C2211yescharacteristic
39C2×#482C2211yescharacteristic
40C2×#469C2211yescharacteristic
41C2×#466C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#465C2211yescharacteristic, complemented
44C2×#465C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#418C2211yescharacteristic
48C22×#102C2211yescharacteristic
49C2×#408C2211yescharacteristic
50C2×#408C2211yescharacteristic, complemented
51C2×#408C2211yescharacteristic, complemented
52#2851C2211yescharacteristic, complemented
53#2850C2211yescharacteristic
54#2716—21no—
55#2714—21no—
56#2688—21no—
57#2674—21no—
58#2673—21no—
59#2673—21no—
60#2669—21no—
61#2668—21no—
62#2616C2211yescharacteristic
63#2615C2211yescharacteristic
64#2615C2211yescharacteristic
65#2615C2211yescharacteristic, complemented
66#2562C2211yescharacteristic, complemented
67#2557—21no—
68#2555—21no—
69#2540C2211yescharacteristic
70#2535C2211yescharacteristic
71#2535C2211yescharacteristic, complemented
72#2486C2211yescharacteristic, complemented
73#2485C2211yescharacteristic
74#2472—21no—
75#2464—21no—
76#2459—21no—
77#2456—21no—
78#2428—21no—
79#2424—21no—
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic
82#2415C2211yescharacteristic
83#2414C2211yescharacteristic, complemented
84#2408C2211yescharacteristic
85#2407C2211yescharacteristic
86#2352C2211yescharacteristic
87#2352C2211yescharacteristic
88#2311C2211yescharacteristic
89#2311C2211yescharacteristic, complemented
90C4×#121C2211yescharacteristic
91C4×#121C2211yescharacteristic, complemented
92#2101C2211yescharacteristic, complemented
93#2101C2211yescharacteristic, complemented
94#2101C2211yescharacteristic, complemented
95#2092C2211yescharacteristic
96#2085C2211yescharacteristic, complemented
97#2077C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2076C2211yescharacteristic, complemented
100#2076C2211yescharacteristic, complemented
101#2075C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2074C2211yescharacteristic, complemented
104#2073C2211yescharacteristic
105#2073C2211yescharacteristic, complemented
106#2059C2211yescharacteristic, complemented
107#2042C2211yescharacteristic
108#2042C2211yescharacteristic
109#2042C2211yescharacteristic
110#2036C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2026C2211yescharacteristic, complemented
123#2025C2211yescharacteristic
124#2025C2211yescharacteristic
125#2012C2211yescharacteristic
126#2000C2211yescharacteristic, complemented
127#1999C2211yescharacteristic
128#1999C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1928C2211yescharacteristic, complemented
133#1926C2211yescharacteristic
134#1925C2211yescharacteristic
135#1925C2211yescharacteristic, complemented
136#1921C2211yescharacteristic, complemented
137#1920C2211yescharacteristic, complemented
138#1920C2211yescharacteristic, complemented
139#1919C2211yescharacteristic, complemented
140#1895C2211yescharacteristic
141#1895C2211yescharacteristic
142#1895C2211yescharacteristic
143#1895C2211yescharacteristic
144#1895C2211yescharacteristic
145#1895C2211yescharacteristic
146#1895C2211yescharacteristic, complemented
147#1895C2211yescharacteristic, complemented
148#1894C2211yescharacteristic
149#1894C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1894C2211yescharacteristic, complemented
152#1893C2211yescharacteristic
153#1893C2211yescharacteristic
154#1893C2211yescharacteristic
155#1893C2211yescharacteristic
156#1893C2211yescharacteristic
157#1892C2211yescharacteristic, complemented
158#1879C2211yescharacteristic
159#1879C2211yescharacteristic
160#1879C2211yescharacteristic
161#1877C2211yescharacteristic, complemented
162#1875C2211yescharacteristic
163#1875C2211yescharacteristic
164#1874C2211yescharacteristic
165#1874C2211yescharacteristic
166#1874C2211yescharacteristic, complemented
167#1873C2211yescharacteristic, complemented
168#1872C2211yescharacteristic
169#1872C2211yescharacteristic, complemented
170#1870C2211yescharacteristic
171#1870C2211yescharacteristic
172#1870C2211yescharacteristic, complemented
173#1870C2211yescharacteristic, complemented
174#1869C2211yescharacteristic
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic, complemented
177#1869C2211yescharacteristic, complemented
178#1864C2211yescharacteristic
179#1864C2211yescharacteristic
180#1864C2211yescharacteristic, complemented
181#1862C2211yescharacteristic
182#1854C2211yescharacteristic
183#1853C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1852C2211yescharacteristic
186#1825C2211yescharacteristic
187#1825C2211yescharacteristic, complemented
188#1824C2211yescharacteristic, complemented
189#1823C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1808C2211yescharacteristic, complemented
192#1807C2211yescharacteristic
193#1807C2211yescharacteristic, complemented
194#1807C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1786C2211yescharacteristic
199#1736C2211yescharacteristic
200#1735C2211yescharacteristic
201#1728C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C2×#131—42no—
211C2×#131—42no—
212C2×#131—42no—
213C22×M16C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#553—42no—
222#553—42no—
223#546—42no—
224#546—42no—
225#537—24no—
226#537—42no—
227#535—24no—
228#535—42no—
229#532—42no—
230#532—42no—
231C2×C4⋊Q8D411yescharacteristic
232C2×#127—21no—
233C2×#127D411yescharacteristic
234C2×#126—21no—
235C2×#125C2311yescharacteristic
236C2×#124—21no—
237C2×#124D411yescharacteristic
238C2×#124D411yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#123—21no—
241C2×#123—21no—
242C2×#123—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121D411yescharacteristic
256C2×#121D411yescharacteristic
257C2×#121D411yescharacteristic
258C2×#121D411yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×#120—21no—
275C2×C4×D4—21no—
276C2×C4×D4—21no—
277C2×C4×D4—21no—
278C2×C4×D4C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×#117C2311yescharacteristic
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C22⋊C4—21no—
291C22×C42C2311yescharacteristic
292#485—42no—
293#482—42no—
294#469—24no—
295#466—42no—
296#465—42no—
297#465—42no—
298#465—42no—
299#449—42no—
300#447—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×#106C2311yescharacteristic
310#418—42no—
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#102—42no—
319C2×#102C2311yescharacteristic
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
338#408—42no—
339#408—42no—
340#408—42no—
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
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
353#400—21no—
354#399—21no—
355#398—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#396—21no—
362#396—21no—
363#395—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#393—21no—
376#393—21no—
377#393—21no—
378#392—21no—
379#392—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#391—21no—
394#391—21no—
395#391C2311yescharacteristic
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#389—21no—
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#387—21no—
421#387—21no—
422#387—21no—
423#387—21no—
424#387—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#382C2311yescharacteristic
446#382C2311yescharacteristic
447#381—21no—
448#380C2311yescharacteristic
449#380C2311yescharacteristic
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#379—21no—
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4—21no—
471#340C2311yescharacteristic
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
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#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—22no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C22×Q8C2×D411yescharacteristic
525C22×Q8C2×D411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×D4—21no—
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—21no—
541C22×D4—21no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4C2×D411yescharacteristic
548C22×D4C2×D411yescharacteristic
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2×D411yescharacteristic
552C22×D4C2×D411yescharacteristic
553C22×D4C2×D411yescharacteristic
554C22×D4C2×D411yescharacteristic
555C22×D4C2×D411yescharacteristic
556C22×D4C2×D411yescharacteristic
557C22×D4C2411yescharacteristic
558C22×D4C2411yescharacteristic
559C22×D4C2411yescharacteristic
560C23×C4—21no—
561C23×C4—21no—
562C23×C4—21no—
563C23×C4—21no—
564C23×C4—21no—
565C23×C4—21no—
566C23×C4C2×D411yescharacteristic
567C23×C4C2×D411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C2×SD16—22no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×D8—22no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582#131—416no—
583C2×M16—22no—
584C2×M16—22no—
585C2×M16—22no—
586C2×M16—41no—
587C2×M16—41no—
588C2×M16—41no—
589C2×M16—41no—
590C2×M16—41no—
591C2×M16—41no—
592C2×M16—41no—
593C2×M16—41no—
594C2×M16—41no—
595C22×C8—22no—
596C22×C8—22no—
597C22×C8—22no—
598C22×C8—22no—
599C22×C8—22no—
600C22×C8—22no—
601C22×C8—41no—
602C22×C8—41no—
603C22×C8—41no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C4⋊Q8—42no—
616#127—42no—
617#127—44no—
618#126—44no—
619#125—41no—
620#125—41no—
621#124—41no—
622#124—41no—
623#124—42no—
624#124—42no—
625#124—44no—
626#123—44no—
627#123—44no—
628#123—82no—
629C22⋊Q8—22no—
630C22⋊Q8—22no—
631C22⋊Q8—22no—
632C22⋊Q8—22no—
633C22⋊Q8—22no—
634C22⋊Q8—44no—
635C22⋊Q8—41no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638#121—22no—
639#121—22no—
640#121—22no—
641#121—22no—
642#121—22no—
643#121—22no—
644#121—22no—
645#121—22no—
646#121—22no—
647#121—22no—
648#121—42no—
649#121—42no—
650#121—42no—
651#121—42no—
652#121—44no—
653#121—44no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—44no—
662#121—44no—
663#121—44no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—82no—
671#121—82no—
672#121#4114yes—
673#120—44no—
674#120—44no—
675#120—44no—
676#120—82no—
677C4×D4—22no—
678C4×D4—22no—
679C4×D4—22no—
680C4×D4—22no—
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—44no—
690C4×D4—82no—
691C4×D4—82no—
692#117—22no—
693#117—22no—
694#117—22no—
695#117—41no—
696#117—41no—
697#117—41no—
698C2×C4⋊C4—22no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4—41no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4—41no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2×D411yescharacteristic
720C2×C4⋊C4C2×D411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2411yescharacteristic
732C2×C4⋊C4C2411yescharacteristic
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—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—44no—
779C2×C22⋊C4C2×D411yescharacteristic
780C2×C22⋊C4C2×D411yescharacteristic
781C2×C22⋊C4C2×D411yescharacteristic
782C2×C22⋊C4C2×D411yescharacteristic
783C2×C22⋊C4C2×D411yescharacteristic
784C2×C22⋊C4C2×D411yescharacteristic
785C2×C22⋊C4C2×D411yescharacteristic
786C2×C22⋊C4C2×D411yescharacteristic
787C2×C42—21no—
788C2×C42—21no—
789C2×C42—21no—
790C2×C42—21no—
791C2×C42—21no—
792C2×C42—41no—
793C2×C42—41no—
794C2×C42C2×D411yescharacteristic
795C2×C42C2×D411yescharacteristic
796C2×C42C2411yescharacteristic
797C2×C42C2411yescharacteristic
798#107—41no—
799#107—41no—
800#107—41no—
801#107—41no—
802#106—22no—
803#106—22no—
804#106—41no—
805#106—41no—
806#106—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—41no—
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—
831#102—41no—
832#102—41no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—22no—
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#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#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871#95—21no—
872#95—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—42no—
877C24—42no—
878C24—81no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887C24C22×D411yescharacteristic
888#41—44no—
889#41—44no—
890#41—44no—
891#41—44no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898#41—82no—
899#41—82no—
900C2×Q8—22no—
901C2×Q8—22no—
902C2×Q8—22no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—41no—
910C2×Q8—41no—
911C2×Q8—41no—
912C2×D4—22no—
913C2×D4—22no—
914C2×D4—22no—
915C2×D4—22no—
916C2×D4—22no—
917C2×D4—22no—
918C2×D4—24no—
919C2×D4—22no—
920C2×D4—22no—
921C2×D4—22no—
922C2×D4—22no—
923C2×D4—22no—
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—44no—
942C2×D4—44no—
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—41no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—41no—
956C2×D4—41no—
957C2×D4—41no—
958C2×D4—41no—
959C2×D4—41no—
960C2×D4—41no—
961C2×D4—41no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
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×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4C2×#4112yes—
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—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—42no—
1054C22×C4—42no—
1055C22×C4—42no—
1056C22×C4—42no—
1057C22×C4—81no—
1058C22×C4—81no—
1059C22×C4—81no—
1060C22×C4—81no—
1061C22×C4—81no—
1062C22×C4—81no—
1063C22×C4—81no—
1064C22×C4—81no—
1065C22×C4—81no—
1066C22×C4—81no—
1067C22×C4—81no—
1068C22×C4—81no—
1069C22×C4C22×D411yescharacteristic
1070C22×C4C22×D411yescharacteristic
1071C22×C4C22×D411yescharacteristic
1072C22×C4C22×D411yescharacteristic
1073C22×C4C22×D411yescharacteristic
1074C22×C4C22×D411yescharacteristic
1075C22×C4C22×D411yescharacteristic
1076C22×C4C22×D411yescharacteristic
1077C22×C4C22×D411yescharacteristic
1078C22×C4C2×#4112yes—
1079C22×C4H(5,𝔽2)12yes—
1080C22×C4H(5,𝔽2)12yes—
1081C22×C4H(5,𝔽2)12yes—
1082C22×C4C2511yescharacteristic
1083SD16—82no—
1084D8—82no—
1085D8—82no—
1086M16—44no—
1087M16—44no—
1088M16—44no—
1089M16—82no—
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×C8—21no—
1102C2×C8—21no—
1103C2×C8—21no—
1104C2×C8—21no—
1105C2×C8—21no—
1106C2×C8—21no—
1107C2×C8—21no—
1108C2×C8—21no—
1109C2×C8—21no—
1110C2×C8—21no—
1111C2×C8—21no—
1112C2×C8—21no—
1113C2×C8—44no—
1114C2×C8—44no—
1115C2×C8—44no—
1116C2×C8—82no—
1117C2×C8H(5,𝔽2)12yes—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—21no—
1121C4⋊C4—21no—
1122C4⋊C4—21no—
1123C4⋊C4—21no—
1124C4⋊C4—21no—
1125C4⋊C4—21no—
1126C4⋊C4—21no—
1127C4⋊C4—21no—
1128C4⋊C4—21no—
1129C4⋊C4—21no—
1130C4⋊C4—21no—
1131C4⋊C4—21no—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—42no—
1146C4⋊C4—42no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—42no—
1155C4⋊C4—81no—
1156C4⋊C4—81no—
1157C4⋊C4—81no—
1158C4⋊C4C2×#4112yes—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—24no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—42no—
1171C22⋊C4—42no—
1172C22⋊C4—42no—
1173C22⋊C4—42no—
1174C22⋊C4—42no—
1175C22⋊C4—42no—
1176C22⋊C4—42no—
1177C22⋊C4—42no—
1178C22⋊C4—42no—
1179C22⋊C4—42no—
1180C22⋊C4—42no—
1181C22⋊C4—42no—
1182C22⋊C4—42no—
1183C22⋊C4—42no—
1184C22⋊C4—42no—
1185C22⋊C4—42no—
1186C22⋊C4—42no—
1187C22⋊C4—42no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C22⋊C4—81no—
1191C22⋊C4—81no—
1192C22⋊C4—81no—
1193C22⋊C4—81no—
1194C22⋊C4—81no—
1195C22⋊C4—81no—
1196C22⋊C4—81no—
1197C22⋊C4—81no—
1198C22⋊C4—81no—
1199C22⋊C4—81no—
1200C22⋊C4—81no—
1201C22⋊C4—81no—
1202C22⋊C4—81no—
1203C22⋊C4—81no—
1204C22⋊C4—81no—
1205C22⋊C4—81no—
1206C22⋊C4—81no—
1207C22⋊C4—81no—
1208C22⋊C4—81no—
1209C22⋊C4—81no—
1210C22⋊C4—81no—
1211C22⋊C4—81no—
1212C42—21no—
1213C42—21no—
1214C42—21no—
1215C42—21no—
1216C42—41no—
1217C42—41no—
1218C42—42no—
1219C42—42no—
1220C42—81no—
1221C42—81no—
1222C42—81no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—21no—
1235C23—21no—
1236C23—21no—
1237C23—21no—
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—22no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—84no—
1278C23—84no—
1279C23—162no—
1280C23—162no—
1281C23—162no—
1282C23—162no—
1283C23—162no—
1284C23#53412yes—
1285C23#54612yes—
1286C23C23×D411yescharacteristic
1287Q8—44no—
1288Q8—41no—
1289Q8—41no—
1290Q8—41no—
1291Q8—41no—
1292Q8—82no—
1293D4—22no—
1294D4—22no—
1295D4—44no—
1296D4—44no—
1297D4—44no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—41no—
1302D4—41no—
1303D4—41no—
1304D4—41no—
1305D4—41no—
1306D4—41no—
1307D4—41no—
1308D4—82no—
1309D4—84no—
1310D4—82no—
1311D4—82no—
1312D4—82no—
1313D4—82no—
1314D4—84no—
1315D4—82no—
1316D4—82no—
1317D4—84no—
1318D4—84no—
1319D4—84no—
1320D4—162no—
1321D4—162no—
1322D4—162no—
1323D4—162no—
1324D4—162no—
1325D4—162no—
1326D4—162no—
1327D4—162no—
1328D4—162no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—22no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
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—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—82no—
1414C2×C4—82no—
1415C2×C4—84no—
1416C2×C4—162no—
1417C2×C4—162no—
1418C2×C4—162no—
1419C2×C4—162no—
1420C2×C4—162no—
1421C2×C4#53412yes—
1422C2×C4#54612yes—
1423C2×C4C22×#4111yescharacteristic
1424C2×C4C2×H(5,𝔽2)11yescharacteristic
1425C2×C4C2×H(5,𝔽2)11yescharacteristic
1426C2×C4C2×H(5,𝔽2)11yescharacteristic
1427C2×C4C2×H(5,𝔽2)11yescharacteristic
1428C2×C4#58511yescharacteristic
1429C8—22no—
1430C8—41no—
1431C8—41no—
1432C8—41no—
1433C8—41no—
1434C8—41no—
1435C8—41no—
1436C8—41no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—42no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—42no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—42no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—81no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—81no—
1483C22—81no—
1484C22—81no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—81no—
1492C22—81no—
1493C22—168no—
1494C22C2×#53411yescharacteristic
1495C22C2×#54611yescharacteristic
1496C22#349611yescharacteristic
1497C22#358411yescharacteristic
1498C22#358411yescharacteristic
1499C22#358511yescharacteristic
1500C22#358511yescharacteristic
1501C4—22no—
1502C4—22no—
1503C4—42no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4—81no—
1516C4—81no—
1517C4—81no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4#351311yescharacteristic
1524C4#351911yescharacteristic
1525C4#353211yescharacteristic
1526C4#353411yescharacteristic
1527C2—42no—
1528C2—42no—
1529C2—81no—
1530C2—81no—
1531C2—81no—
1532C2—82no—
1533C2—161no—
1534C2—161no—
1535C2#3807611yescharacteristic
1536C2#6076011yescharacteristic
1537C2#6076711yescharacteristic
1538C2#6120111yescharacteristic
1539C2#6120811yescharacteristic
1540C2#6232711yescharacteristic
1541C2#6233411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#532 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #39462C2semidirect
2. #39334C2semidirect
3. #32932C2semidirect
4. #32043C2semidirect
5. #32002C2semidirect
6. #31406C2semidirect
7. #31399C2semidirect
8. #31332C2semidirect
9. #31274C2semidirect
10. #30708C2semidirect
11. #30397C2semidirect
12. #30198C2semidirect
13. #29738C2semidirect
14. #29161C2semidirect
15. #28573C2semidirect
16. #26222C2semidirect
17. #26215C2semidirect
18. #25532C2semidirect
19. #24938C2semidirect
20. #24873C2semidirect
21. #24567C2semidirect
22. #24563C2semidirect
23. #24434C2semidirect
24. #24397C2semidirect
25. #24390C2semidirect
26. #24050C2semidirect
27. #23973C2semidirect
28. #22190C2semidirect
29. #21772C2semidirect
30. #20975C2semidirect
31. #20900C2semidirect
43. C2×#465C22semidirect
44. C2×#465C22semidirect
50. C2×#408C22semidirect
51. C2×#408C22semidirect
52. #2851C22semidirect
65. #2615C22semidirect
66. #2562C22semidirect
71. #2535C22semidirect
72. #2486C22semidirect
83. #2414C22semidirect
89. #2311C22semidirect
91. C4×#121C22semidirect
92. #2101C22semidirect
93. #2101C22semidirect
94. #2101C22semidirect
96. #2085C22semidirect
97. #2077C22semidirect
98. #2077C22semidirect
99. #2076C22semidirect
100. #2076C22semidirect
101. #2075C22semidirect
102. #2075C22semidirect
103. #2074C22semidirect
105. #2073C22semidirect
106. #2059C22semidirect
110. #2036C22semidirect
111. #2036C22semidirect
112. #2035C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2026C22semidirect
126. #2000C22semidirect
132. #1928C22semidirect
135. #1925C22semidirect
136. #1921C22semidirect
137. #1920C22semidirect
138. #1920C22semidirect
139. #1919C22semidirect
146. #1895C22semidirect
147. #1895C22semidirect
149. #1894C22semidirect
150. #1894C22semidirect
151. #1894C22semidirect
157. #1892C22semidirect
161. #1877C22semidirect
166. #1874C22semidirect
167. #1873C22semidirect
169. #1872C22semidirect
172. #1870C22semidirect
173. #1870C22semidirect
176. #1869C22semidirect
177. #1869C22semidirect
180. #1864C22semidirect
183. #1853C22semidirect
184. #1853C22semidirect
187. #1825C22semidirect
188. #1824C22semidirect
189. #1823C22semidirect
190. #1809C22semidirect
191. #1808C22semidirect
193. #1807C22semidirect
194. #1807C22semidirect
201. #1728C22semidirect
202. C2×#336C22semidirect

Maximal subgroups

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

subgroupindex
#394622
#393342
#329322
#320432
#320022
#314062
#313992
#313322
#312742
#307082
#303972
#301982
#297382
#291612
#285732
#262222
#262152
#255322
#249382
#248732
#245672
#245632
#244342
#243972
#243902
#240502
#239732
#221902
#217722
#209752
#209002