Finite Group Databasebeta

← #6538722

Subgroups — #6538722

Order 512.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37664C211yesmaximal, characteristic, complemented
2#34363C211yesmaximal, characteristic, complemented
3#30119C211yesmaximal, characteristic, complemented
4#30031C211yesmaximal, characteristic, complemented
5#29897C211yesmaximal, characteristic, complemented
6#29485C211yesmaximal, characteristic, complemented
7#29418C211yesmaximal, characteristic, complemented
8#27406C211yesmaximal, characteristic, complemented
9#27397C211yesmaximal, characteristic, complemented
10#27326C211yesmaximal, characteristic, complemented
11#27243C211yesmaximal, characteristic, complemented
12#27179C211yesmaximal, characteristic, complemented
13#26425C211yesmaximal, characteristic, complemented
14#26359C211yesmaximal, characteristic, complemented
15#25164C211yesmaximal, characteristic, complemented
16#25160C211yesmaximal, characteristic, complemented
17#25101C211yesmaximal, characteristic, complemented
18#25101C211yesmaximal, characteristic, complemented
19#24893C211yesmaximal, characteristic, complemented
20#24667C211yesmaximal, characteristic, complemented
21#24385C211yesmaximal, characteristic, complemented
22#24166C211yesmaximal, characteristic, complemented
23#23918C211yesmaximal, characteristic
24#23703C211yesmaximal, characteristic, complemented
25#23579C211yesmaximal, characteristic, complemented
26#23480C211yesmaximal, characteristic, complemented
27#23142C211yesmaximal, characteristic, complemented
28#23041C211yesmaximal, characteristic, complemented
29#22880C211yesmaximal, characteristic, complemented
30#22880C211yesmaximal, characteristic, complemented
31#22559C211yesmaximal, characteristic, complemented
32C2×#542C2211yescharacteristic, complemented
33C22×#121C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C2×#476C2211yescharacteristic, complemented
36C2×#468C2211yescharacteristic
37C2×#468C2211yescharacteristic
38C2×#463C2211yescharacteristic, complemented
39C2×#463C2211yescharacteristic, complemented
40C2×#450C2211yescharacteristic, complemented
41C2×#447C2211yescharacteristic
42C2×#447C2211yescharacteristic
43C2×#447C2211yescharacteristic
44C2×#447C2211yescharacteristic
45C2×#440C2211yescharacteristic, complemented
46C2×C4×D8C2211yescharacteristic, complemented
47C2×C4×D8C2211yescharacteristic, complemented
48C2×#433C2211yescharacteristic, complemented
49C2×#428C2211yescharacteristic, complemented
50C2×#418C2211yescharacteristic, complemented
51C2×#418C2211yescharacteristic, complemented
52C2×#407C2211yescharacteristic
53#2848C2211yescharacteristic
54#2701—21no—
55#2691—21no—
56#2686—21no—
57#2672—21no—
58#2624C2211yescharacteristic, complemented
59#2620C2211yescharacteristic, complemented
60#2491C2211yescharacteristic
61#2480—21no—
62#2440C2211yescharacteristic, complemented
63#2437—21no—
64#2435—21no—
65#2435C2211yescharacteristic, complemented
66#2427C2211yescharacteristic
67#2426C2211yescharacteristic
68#2422C2211yescharacteristic
69#2405—21no—
70#2377—21no—
71#2377—21no—
72#2363C2211yescharacteristic
73#2363C2211yescharacteristic
74#2363C2211yescharacteristic
75#2363C2211yescharacteristic
76#2360C2211yescharacteristic, complemented
77#2344C2211yescharacteristic, complemented
78#2344C2211yescharacteristic, complemented
79#2342—21no—
80#2342—21no—
81D4×C22⋊C4C2211yescharacteristic, complemented
82D4×C22⋊C4C2211yescharacteristic, complemented
83D4×C22⋊C4C2211yescharacteristic, complemented
84#2333—21no—
85#2333—21no—
86#2324C2211yescharacteristic, complemented
87#2324C2211yescharacteristic, complemented
88#2324C2211yescharacteristic, complemented
89#2324C2211yescharacteristic, complemented
90#2324C2211yescharacteristic, complemented
91#2309—21no—
92#2308—21no—
93#2280C2211yescharacteristic
94#2280C2211yescharacteristic
95#2100C2211yescharacteristic, complemented
96#2093C2211yescharacteristic, complemented
97#2087C2211yescharacteristic, complemented
98#2087C2211yescharacteristic, complemented
99#2077C2211yescharacteristic, complemented
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic, complemented
102#2075C2211yescharacteristic, complemented
103#2067C2211yescharacteristic, complemented
104#2067C2211yescharacteristic, complemented
105#2067C2211yescharacteristic, complemented
106#2067C2211yescharacteristic, complemented
107#2057C2211yescharacteristic, complemented
108#2054C2211yescharacteristic, complemented
109#2054C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2042C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2035C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic, complemented
123#2033C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2023C2211yescharacteristic, complemented
127#2012C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2000C2211yescharacteristic, complemented
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1999C2211yescharacteristic
135#1988C2211yescharacteristic, complemented
136#1983C2211yescharacteristic, complemented
137#1983C2211yescharacteristic, complemented
138#1972C2211yescharacteristic, complemented
139#1972C2211yescharacteristic, complemented
140#1968C2211yescharacteristic, complemented
141#1948C2211yescharacteristic, complemented
142#1943C2211yescharacteristic, complemented
143#1935C2211yescharacteristic, complemented
144#1934C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1934C2211yescharacteristic, complemented
147#1928C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1925C2211yescharacteristic, complemented
151#1925C2211yescharacteristic, complemented
152#1925C2211yescharacteristic, complemented
153#1924C2211yescharacteristic, complemented
154#1924C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1921C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1919C2211yescharacteristic, complemented
160#1918C2211yescharacteristic, complemented
161#1895C2211yescharacteristic
162#1895C2211yescharacteristic
163#1880C2211yescharacteristic, complemented
164#1879C2211yescharacteristic, complemented
165#1879C2211yescharacteristic, complemented
166#1879C2211yescharacteristic, complemented
167#1879C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1877C2211yescharacteristic, complemented
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic
173#1874C2211yescharacteristic
174#1874C2211yescharacteristic
175#1873C2211yescharacteristic, complemented
176#1873C2211yescharacteristic, complemented
177#1872C2211yescharacteristic, complemented
178#1865C2211yescharacteristic, complemented
179#1864C2211yescharacteristic, complemented
180#1864C2211yescharacteristic, complemented
181#1864C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1862C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1851C2211yescharacteristic, complemented
188#1851C2211yescharacteristic, complemented
189#1818C2211yescharacteristic, complemented
190#1802C2211yescharacteristic, complemented
191#1798C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1779C2211yescharacteristic
194C4×#107C2211yescharacteristic, complemented
195#1762C2211yescharacteristic, complemented
196#1762C2211yescharacteristic, complemented
197#1762C2211yescharacteristic, complemented
198C4×#103C2211yescharacteristic, complemented
199#1753C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1750C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×M16C2311yescharacteristic
215C22×M16C2311yescharacteristic
216#542—42no—
217#542—42no—
218C2×C4⋊Q8C2311yescharacteristic
219C2×#126—21no—
220C2×#124—21no—
221C2×#124—21no—
222C2×#124C2311yescharacteristic
223C2×#124C2311yescharacteristic
224C2×#123—21no—
225C2×#123—21no—
226C2×C22⋊Q8—21no—
227C2×C22⋊Q8—21no—
228C2×C22⋊Q8C2311yescharacteristic
229C2×C22⋊Q8C2311yescharacteristic
230C2×C22⋊Q8C2311yescharacteristic
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—24no—
234C2×#121—24no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—42no—
238C2×#121—42no—
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×C4×Q8C2311yescharacteristic
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×#117—21no—
255C2×#117—21no—
256C2×#117C2311yescharacteristic
257C2×#117C2311yescharacteristic
258C2×#117C2311yescharacteristic
259C2×#117C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C22⋊C4—21no—
263C22×C22⋊C4—21no—
264C22×C22⋊C4—21no—
265C22×C22⋊C4—21no—
266C22×C22⋊C4—21no—
267#476—42no—
268#468—24no—
269#468—24no—
270#463—42no—
271#463—42no—
272#450—42no—
273#447—24no—
274#447—24no—
275#447—42no—
276#447—42no—
277#440—42no—
278C4×D8—42no—
279C4×D8—42no—
280#433—42no—
281#428—42no—
282C2×#107C2311yescharacteristic
283C2×#107C2311yescharacteristic
284C2×#107C2311yescharacteristic
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296#418—42no—
297#418—42no—
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326#407—42no—
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×#97C2311yescharacteristic
338C2×#97C2311yescharacteristic
339C2×C4×C8C2311yescharacteristic
340C2×C4×C8C2311yescharacteristic
341#399—21no—
342#398—21no—
343#397—21no—
344#397—21no—
345#397—21no—
346#396—21no—
347#396—21no—
348#396—21no—
349#395—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#393—21no—
361#391C2311yescharacteristic
362#390—21no—
363#390—21no—
364#390—21no—
365#390—21no—
366#390—21no—
367#390—21no—
368#390—21no—
369#390—21no—
370#390—21no—
371#390—21no—
372#390C2311yescharacteristic
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#390C2311yescharacteristic
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#389—21no—
381#389C2311yescharacteristic
382#389C2311yescharacteristic
383#389C2311yescharacteristic
384#389C2311yescharacteristic
385#389C2311yescharacteristic
386#389C2311yescharacteristic
387#389C2311yescharacteristic
388#388—21no—
389#388—21no—
390#388—21no—
391#388—21no—
392#388—21no—
393#388—21no—
394#388—21no—
395#388—21no—
396#388—21no—
397#388—21no—
398#388—21no—
399#387—21no—
400#387—21no—
401#387—21no—
402#387—21no—
403#387—21no—
404#386—21no—
405#386—21no—
406#386—21no—
407#386—21no—
408#386—21no—
409#386—21no—
410#386—21no—
411#386—21no—
412#386—21no—
413#386—21no—
414#386—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#385—21no—
421#385—21no—
422#385—21no—
423#385—21no—
424#385—21no—
425#385—21no—
426#385—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#384C2311yescharacteristic
432#381—21no—
433#381—21no—
434#381—21no—
435#381D411yescharacteristic
436#381D411yescharacteristic
437#380—21no—
438#380D411yescharacteristic
439#380D411yescharacteristic
440#380D411yescharacteristic
441#380D411yescharacteristic
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#380C2311yescharacteristic
446#380C2311yescharacteristic
447#380C2311yescharacteristic
448#380C2311yescharacteristic
449#379—21no—
450#379—21no—
451#379—21no—
452#379—21no—
453#379—21no—
454#379—21no—
455#379—21no—
456#379D411yescharacteristic
457#379D411yescharacteristic
458C4×C4⋊C4C2311yescharacteristic
459C4×C4⋊C4C2311yescharacteristic
460C4×C4⋊C4C2311yescharacteristic
461C4×C4⋊C4C2311yescharacteristic
462C4×C4⋊C4C2311yescharacteristic
463C4×C22⋊C4—21no—
464C4×C22⋊C4—21no—
465C4×C22⋊C4—21no—
466C4×C22⋊C4—21no—
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C25C2×D411yescharacteristic
505C22×Q8—21no—
506C22×Q8C2411yescharacteristic
507C22×D4—28no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—21no—
512C22×D4—21no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—44no—
531C22×D4—82no—
532C22×D4—82no—
533C22×D4—82no—
534C22×D4—82no—
535C22×D4C2411yescharacteristic
536C22×D4C2411yescharacteristic
537C22×D4C2411yescharacteristic
538C22×D4C2411yescharacteristic
539C23×C4—21no—
540C23×C4—22no—
541C23×C4—22no—
542C23×C4—21no—
543C23×C4—21no—
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4C2×D411yescharacteristic
554C23×C4C2×D411yescharacteristic
555C23×C4C2×D411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×M16—22no—
578C2×M16—22no—
579C2×M16—22no—
580C2×M16—41no—
581C2×M16—41no—
582C2×M16—41no—
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C4⋊Q8—22no—
592C4⋊Q8—41no—
593#126—44no—
594#124—22no—
595#124—41no—
596#124—41no—
597#124—41no—
598#124—44no—
599#124—82no—
600#123—44no—
601#123—82no—
602C22⋊Q8—22no—
603C22⋊Q8—22no—
604C22⋊Q8—44no—
605C22⋊Q8—41no—
606C22⋊Q8—41no—
607C22⋊Q8—41no—
608C22⋊Q8—41no—
609C22⋊Q8—82no—
610#121—28no—
611#121—28no—
612#121—22no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—44no—
623#121—41no—
624#121—41no—
625#121—41no—
626#121—41no—
627#121—44no—
628#121#4114yes—
629#121#4114yes—
630C4×Q8—22no—
631C4×Q8—41no—
632C4×D4—22no—
633C4×D4—41no—
634C4×D4—41no—
635C4×D4—41no—
636C4×D4—41no—
637C4×D4—41no—
638C4×D4—41no—
639C4×D4—41no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644#117—41no—
645#117—41no—
646#117—41no—
647#117—41no—
648#117—41no—
649#117—41no—
650#117—41no—
651#117—41no—
652#117—82no—
653#117—82no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—22no—
656C2×C4⋊C4—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
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—41no—
674C2×C4⋊C4C2×D411yescharacteristic
675C2×C4⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2×D411yescharacteristic
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C22⋊C4—28no—
690C2×C22⋊C4—21no—
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
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—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—44no—
737C2×C22⋊C4—82no—
738C2×C22⋊C4—82no—
739C2×C22⋊C4—82no—
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C42—21no—
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42C2411yescharacteristic
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764#107—22no—
765#107—22no—
766#107—22no—
767#107—41no—
768#107—41no—
769#107—41no—
770#106—22no—
771#106—41no—
772#106—41no—
773#106—41no—
774C4⋊C8—22no—
775C4⋊C8—41no—
776C4⋊C8—41no—
777C4⋊C8—41no—
778#103—22no—
779#103—22no—
780#103—41no—
781#103—41no—
782#103—41no—
783#103—41no—
784#102—22no—
785#102—22no—
786#102—22no—
787#102—22no—
788#102—22no—
789#102—22no—
790#102—22no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—22no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806C22⋊C8—22no—
807C22⋊C8—22no—
808C22⋊C8—22no—
809C22⋊C8—22no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816#97—41no—
817#97—41no—
818C4×C8—22no—
819C4×C8—41no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
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#95C2×D411yescharacteristic
842#95C2×D411yescharacteristic
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849C24—24no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—22no—
854C24—22no—
855C24—21no—
856C24—41no—
857C24—41no—
858C24—41no—
859C24—41no—
860C24—41no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—42no—
865C24—42no—
866C24—42no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C2×Q8—21no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—42no—
884C2×Q8—81no—
885C2×Q8—81no—
886C2×D4—24no—
887C2×D4—24no—
888C2×D4—24no—
889C2×D4—24no—
890C2×D4—24no—
891C2×D4—24no—
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—44no—
914C2×D4—44no—
915C2×D4—42no—
916C2×D4—42no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—82no—
923C2×D4—82no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C2×D4—82no—
928C2×D4—82no—
929C2×D4—82no—
930C2×D4—82no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—81no—
935C2×D4—81no—
936C2×D4—81no—
937C2×D4—81no—
938C2×D4—81no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—816no—
946C2×D4—816no—
947C2×D4C2×#4112yes—
948C2×D4C2×#4112yes—
949C2×D4H(5,𝔽2)12yes—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—24no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—22no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—41no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—41no—
986C22×C4—41no—
987C22×C4—41no—
988C22×C4—42no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—42no—
993C22×C4—82no—
994C22×C4—82no—
995C22×C4—82no—
996C22×C4—82no—
997C22×C4—81no—
998C22×C4—81no—
999C22×C4—81no—
1000C22×C4—81no—
1001C22×C4—81no—
1002C22×C4—81no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4—81no—
1006C22×C4—81no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C2×#4112yes—
1027C22×C4C2×#4112yes—
1028C22×C4C2511yescharacteristic
1029SD16—44no—
1030SD16—82no—
1031D8—44no—
1032D8—44no—
1033D8—82no—
1034D8—82no—
1035M16—44no—
1036M16—82no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8H(5,𝔽2)12yes—
1061C4⋊C4—24no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—41no—
1082C4⋊C4—41no—
1083C4⋊C4—41no—
1084C4⋊C4—41no—
1085C4⋊C4—42no—
1086C4⋊C4—42no—
1087C4⋊C4—42no—
1088C4⋊C4—42no—
1089C4⋊C4—42no—
1090C4⋊C4—81no—
1091C4⋊C4—81no—
1092C4⋊C4—81no—
1093C4⋊C4—81no—
1094C4⋊C4—81no—
1095C4⋊C4—81no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4C2×#4112yes—
1101C4⋊C4C2×#4112yes—
1102C4⋊C4H(5,𝔽2)12yes—
1103C22⋊C4—24no—
1104C22⋊C4—24no—
1105C22⋊C4—24no—
1106C22⋊C4—22no—
1107C22⋊C4—22no—
1108C22⋊C4—24no—
1109C22⋊C4—24no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—21no—
1165C42—21no—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—42no—
1170C42—81no—
1171C42—81no—
1172C42—81no—
1173C42—81no—
1174C42—81no—
1175C42—81no—
1176C42—81no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—22no—
1193C23—22no—
1194C23—21no—
1195C23—22no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—44no—
1200C23—44no—
1201C23—48no—
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—41no—
1227C23—82no—
1228C23—82no—
1229C23—82no—
1230C23—84no—
1231C23—84no—
1232C23—82no—
1233C23—82no—
1234C23—84no—
1235C23—84no—
1236C23—84no—
1237C23—84no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23—162no—
1243C23—162no—
1244C23—162no—
1245C23#52512yes—
1246C23#57612yes—
1247C23C23×D411yescharacteristic
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—162no—
1253D4—22no—
1254D4—22no—
1255D4—22no—
1256D4—22no—
1257D4—22no—
1258D4—22no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—84no—
1270D4—84no—
1271D4—84no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
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—22no—
1299C2×C4—22no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—22no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
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—21no—
1318C2×C4—48no—
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—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—82no—
1361C2×C4—82no—
1362C2×C4—82no—
1363C2×C4—84no—
1364C2×C4—162no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4—162no—
1368C2×C4—162no—
1369C2×C4—162no—
1370C2×C4#52512yes—
1371C2×C4C22×#4111yescharacteristic
1372C2×C4C22×#4111yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4#58511yescharacteristic
1377C8—22no—
1378C8—41no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—41no—
1406C22—42no—
1407C22—42no—
1408C22—41no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—41no—
1413C22—41no—
1414C22—42no—
1415C22—88no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—168no—
1436C22—168no—
1437C22C2×#52511yescharacteristic
1438C22#348411yescharacteristic
1439C22#349611yescharacteristic
1440C22C2×#57611yescharacteristic
1441C22#358511yescharacteristic
1442C22#358511yescharacteristic
1443C22#358611yescharacteristic
1444C4—22no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—42no—
1452C4—42no—
1453C4—41no—
1454C4—41no—
1455C4—42no—
1456C4—41no—
1457C4—41no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4#351311yescharacteristic
1468C4#351411yescharacteristic
1469C4#351911yescharacteristic
1470C4#351911yescharacteristic
1471C2—42no—
1472C2—42no—
1473C2—81no—
1474C2—82no—
1475C2—82no—
1476C2—82no—
1477C2—161no—
1478C2#3571411yescharacteristic
1479C2#6056711yescharacteristic
1480C2#6057811yescharacteristic
1481C2#6160911yescharacteristic
1482C2#6165611yescharacteristic
1483C2#6228311yescharacteristic
1484C2#6231111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23918C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #37664C2semidirect
2. #34363C2semidirect
3. #30119C2semidirect
4. #30031C2semidirect
5. #29897C2semidirect
6. #29485C2semidirect
7. #29418C2semidirect
8. #27406C2semidirect
9. #27397C2semidirect
10. #27326C2semidirect
11. #27243C2semidirect
12. #27179C2semidirect
13. #26425C2semidirect
14. #26359C2semidirect
15. #25164C2semidirect
16. #25160C2semidirect
17. #25101C2semidirect
18. #25101C2semidirect
19. #24893C2semidirect
20. #24667C2semidirect
21. #24385C2semidirect
22. #24166C2semidirect
24. #23703C2semidirect
25. #23579C2semidirect
26. #23480C2semidirect
27. #23142C2semidirect
28. #23041C2semidirect
29. #22880C2semidirect
30. #22880C2semidirect
31. #22559C2semidirect
32. C2×#542C22semidirect
35. C2×#476C22semidirect
38. C2×#463C22semidirect
39. C2×#463C22semidirect
40. C2×#450C22semidirect
45. C2×#440C22semidirect
46. C2×C4×D8C22semidirect
47. C2×C4×D8C22semidirect
48. C2×#433C22semidirect
49. C2×#428C22semidirect
50. C2×#418C22semidirect
51. C2×#418C22semidirect
58. #2624C22semidirect
59. #2620C22semidirect
62. #2440C22semidirect
65. #2435C22semidirect
76. #2360C22semidirect
77. #2344C22semidirect
78. #2344C22semidirect
81. D4×C22⋊C4C22semidirect
82. D4×C22⋊C4C22semidirect
83. D4×C22⋊C4C22semidirect
86. #2324C22semidirect
87. #2324C22semidirect
88. #2324C22semidirect
89. #2324C22semidirect
90. #2324C22semidirect
95. #2100C22semidirect
96. #2093C22semidirect
97. #2087C22semidirect
98. #2087C22semidirect
99. #2077C22semidirect
100. #2077C22semidirect
101. #2076C22semidirect
102. #2075C22semidirect
103. #2067C22semidirect
104. #2067C22semidirect
105. #2067C22semidirect
106. #2067C22semidirect
107. #2057C22semidirect
108. #2054C22semidirect
109. #2054C22semidirect
110. #2042C22semidirect
111. #2042C22semidirect
112. #2036C22semidirect
113. #2036C22semidirect
114. #2035C22semidirect
115. #2035C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
122. #2033C22semidirect
123. #2033C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2023C22semidirect
127. #2012C22semidirect
128. #2012C22semidirect
129. #2000C22semidirect
130. #2000C22semidirect
135. #1988C22semidirect
136. #1983C22semidirect
137. #1983C22semidirect
138. #1972C22semidirect
139. #1972C22semidirect
140. #1968C22semidirect
141. #1948C22semidirect
142. #1943C22semidirect
143. #1935C22semidirect
144. #1934C22semidirect
145. #1934C22semidirect
146. #1934C22semidirect
147. #1928C22semidirect
148. #1926C22semidirect
149. #1925C22semidirect
150. #1925C22semidirect
151. #1925C22semidirect
152. #1925C22semidirect
153. #1924C22semidirect
154. #1924C22semidirect
155. #1923C22semidirect
156. #1923C22semidirect
157. #1921C22semidirect
158. #1919C22semidirect
159. #1919C22semidirect
160. #1918C22semidirect
163. #1880C22semidirect
164. #1879C22semidirect
165. #1879C22semidirect
166. #1879C22semidirect
167. #1879C22semidirect
168. #1879C22semidirect
169. #1879C22semidirect
170. #1877C22semidirect
175. #1873C22semidirect
176. #1873C22semidirect
177. #1872C22semidirect
178. #1865C22semidirect
179. #1864C22semidirect
180. #1864C22semidirect
181. #1864C22semidirect
182. #1864C22semidirect
183. #1862C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
186. #1852C22semidirect
187. #1851C22semidirect
188. #1851C22semidirect
189. #1818C22semidirect
190. #1802C22semidirect
191. #1798C22semidirect
192. #1786C22semidirect
194. C4×#107C22semidirect
195. #1762C22semidirect
196. #1762C22semidirect
197. #1762C22semidirect
198. C4×#103C22semidirect
199. #1753C22semidirect
200. #1753C22semidirect
201. #1750C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#376642
#343632
#301192
#300312
#298972
#294852
#294182
#274062
#273972
#273262
#272432
#271792
#264252
#263592
#251642
#251602
#251012
#248932
#246672
#243852
#241662
#239182
#237032
#235792
#234802
#231422
#230412
#228802
#225592