Finite Group Databasebeta

← #6669722

Subgroups — #6669722

Order 512.

2002 conjugacy classes of subgroups.

The subgroup lattice has 1438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic
2C2×#3081C211yesmaximal, characteristic, complemented
3#42914C211yesmaximal, characteristic, complemented
4#35713C211yesmaximal, characteristic, complemented
5#33014C211yesmaximal, characteristic, complemented
6#31174C211yesmaximal, characteristic, complemented
7#31148C211yesmaximal, characteristic, complemented
8#31096C211yesmaximal, characteristic, complemented
9#31086C211yesmaximal, characteristic, complemented
10#30835C211yesmaximal, characteristic, complemented
11#30827C211yesmaximal, characteristic, complemented
12#30675C211yesmaximal, characteristic, complemented
13#30663C211yesmaximal, characteristic, complemented
14#29785C211yesmaximal, characteristic, complemented
15#29647C211yesmaximal, characteristic, complemented
16#27941C211yesmaximal, characteristic, complemented
17#27668C211yesmaximal, characteristic, complemented
18#27240C211yesmaximal, characteristic, complemented
19#27229C211yesmaximal, characteristic, complemented
20#26392C211yesmaximal, characteristic, complemented
21#26388C211yesmaximal, characteristic, complemented
22#26059C211yesmaximal, characteristic, complemented
23#26045C211yesmaximal, characteristic, complemented
24#25958C211yesmaximal, characteristic, complemented
25#25950C211yesmaximal, characteristic, complemented
26#24585C211yesmaximal, characteristic, complemented
27#24526C211yesmaximal, characteristic, complemented
28#24090C211yesmaximal, characteristic, complemented
29#24033C211yesmaximal, characteristic, complemented
30#22580C211yesmaximal, characteristic, complemented
31#22072C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×D42C2211yescharacteristic
34C2×#544C2211yescharacteristic, complemented
35C2×#518C2211yescharacteristic
36#3318—28no—
37C2×#490C2211yescharacteristic
38C2×#481C2211yescharacteristic
39C2×#481C2211yescharacteristic
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic, complemented
42#3081—28no—
43C2×#478C2211yescharacteristic
44C2×#478C2211yescharacteristic
45C2×#478C2211yescharacteristic
46C2×#478C2211yescharacteristic, complemented
47C2×#478C2211yescharacteristic, complemented
48C2×#476C2211yescharacteristic
49C2×#476C2211yescharacteristic, complemented
50C2×#474C2211yescharacteristic
51C2×#474C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#459C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#442C2211yescharacteristic
58C2×#435C2211yescharacteristic
59C2×#428C2211yescharacteristic, complemented
60C2×#427C2211yescharacteristic, complemented
61C2×#424C2211yescharacteristic, complemented
62C2×#418C2211yescharacteristic
63C22×#102C2211yescharacteristic
64C22×#102C2211yescharacteristic
65#2821—21no—
66#2681—21no—
67#2681—21no—
68#2680—21no—
69#2680—21no—
70#2664—21no—
71#2633—21no—
72#2624C2211yescharacteristic
73#2624C2211yescharacteristic, complemented
74#2622—21no—
75#2552C2211yescharacteristic, complemented
76#2552C2211yescharacteristic, complemented
77#2542—21no—
78#2501C2211yescharacteristic, complemented
79#2500C2211yescharacteristic
80#2490C2211yescharacteristic, complemented
81#2490C2211yescharacteristic, complemented
82#2487C2211yescharacteristic
83#2485C2211yescharacteristic
84#2452C2211yescharacteristic, complemented
85#2452C2211yescharacteristic, complemented
86#2445C2211yescharacteristic
87#2445C2211yescharacteristic
88#2444—21no—
89#2443—21no—
90#2440C2211yescharacteristic, complemented
91#2440C2211yescharacteristic, complemented
92#2422C2211yescharacteristic
93#2420C2211yescharacteristic
94#2418—21no—
95#2418—21no—
96#2412—21no—
97#2405—21no—
98#2395C2211yescharacteristic
99C2×#394—21no—
100#2349C2211yescharacteristic
101D4×C4⋊C4C2211yescharacteristic
102#2347C2211yescharacteristic, complemented
103D4×C22⋊C4C2211yescharacteristic
104D4×C22⋊C4C2211yescharacteristic
105D4×C22⋊C4C2211yescharacteristic
106#2094C2211yescharacteristic, complemented
107#2094C2211yescharacteristic, complemented
108#2093C2211yescharacteristic, complemented
109#2092C2211yescharacteristic, complemented
110#2088C2211yescharacteristic, complemented
111#2088C2211yescharacteristic, complemented
112#2088C2211yescharacteristic, complemented
113#2086C2211yescharacteristic, complemented
114#2085C2211yescharacteristic, complemented
115#2084C2211yescharacteristic, complemented
116#2077C2211yescharacteristic, complemented
117#2076C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2065C2211yescharacteristic, complemented
125#2065C2211yescharacteristic, complemented
126#2059C2211yescharacteristic, complemented
127#2059C2211yescharacteristic, complemented
128#2059C2211yescharacteristic, complemented
129#2059C2211yescharacteristic, complemented
130#2058C2211yescharacteristic, complemented
131#2058C2211yescharacteristic, complemented
132#2054C2211yescharacteristic, complemented
133#2054C2211yescharacteristic, complemented
134#2054C2211yescharacteristic, complemented
135#2054C2211yescharacteristic, complemented
136#2041C2211yescharacteristic
137#2041C2211yescharacteristic
138#2034C2211yescharacteristic
139#2034C2211yescharacteristic
140#2034C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2025C2211yescharacteristic, complemented
143#2025C2211yescharacteristic, complemented
144#2023C2211yescharacteristic, complemented
145#2023C2211yescharacteristic, complemented
146#1972C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1949C2211yescharacteristic, complemented
149#1947C2211yescharacteristic, complemented
150#1944C2211yescharacteristic, complemented
151#1943C2211yescharacteristic, complemented
152#1940C2211yescharacteristic, complemented
153#1939C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1926C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1924C2211yescharacteristic, complemented
161#1923C2211yescharacteristic, complemented
162#1917C2211yescharacteristic, complemented
163#1917C2211yescharacteristic, complemented
164#1893C2211yescharacteristic
165#1893C2211yescharacteristic, complemented
166#1879C2211yescharacteristic
167#1879C2211yescharacteristic
168#1879C2211yescharacteristic
169#1879C2211yescharacteristic
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1869C2211yescharacteristic
173#1864C2211yescharacteristic
174#1864C2211yescharacteristic
175#1864C2211yescharacteristic
176#1864C2211yescharacteristic
177#1864C2211yescharacteristic, complemented
178#1864C2211yescharacteristic, complemented
179#1862C2211yescharacteristic
180#1862C2211yescharacteristic
181#1862C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1852C2211yescharacteristic, complemented
185#1850C2211yescharacteristic, complemented
186#1850C2211yescharacteristic, complemented
187#1850C2211yescharacteristic, complemented
188#1847C2211yescharacteristic, complemented
189#1844C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1818C2211yescharacteristic, complemented
194#1809C2211yescharacteristic, complemented
195#1808C2211yescharacteristic, complemented
196#1807C2211yescharacteristic, complemented
197#1802C2211yescharacteristic
198#1802C2211yescharacteristic
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1762C2211yescharacteristic
203C4×#102C2211yescharacteristic
204#1753C2211yescharacteristic, complemented
205C23×D4—21no—
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C23×C8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214#553—24no—
215#553—42no—
216D42—24no—
217D42—42no—
218#544—24no—
219#544—42no—
220C2×C4⋊Q8—21no—
221C2×C4⋊Q8C2311yescharacteristic
222C2×C4⋊Q8C2311yescharacteristic
223C2×#127C2311yescharacteristic
224C2×#126—21no—
225C2×#125—21no—
226C2×#125C2311yescharacteristic
227C2×#125C2311yescharacteristic
228C2×#125C2311yescharacteristic
229C2×#123—21no—
230C2×#123—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#120—21no—
248C2×#120—21no—
249#518—24no—
250#518—42no—
251C2×C4×D4—21no—
252C2×C4×D4—21no—
253C2×C4×D4—21no—
254C2×C4×D4C2311yescharacteristic
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C2×#117C2311yescharacteristic
265C2×#117C2311yescharacteristic
266C22×C4⋊C4—21no—
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C22⋊C4—21no—
270C22×C22⋊C4—21no—
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274#490—24no—
275#482—24no—
276#482—42no—
277#481—24no—
278#481—42no—
279#478—24no—
280#478—24no—
281#478—24no—
282#478—24no—
283#478—24no—
284#476—24no—
285#476—24no—
286#474—24no—
287#474—24no—
288#469—24no—
289#466—24no—
290#459—24no—
291#447—24no—
292#447—24no—
293#442—24no—
294#435—24no—
295#428—24no—
296#427—24no—
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×#106C2311yescharacteristic
312C2×#106C2311yescharacteristic
313C2×#106C2311yescharacteristic
314#424—24no—
315C2×C4⋊C8C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322#418D418yes—
323C2×#102—24no—
324C2×#102—24no—
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×#97C2311yescharacteristic
357C2×#97C2311yescharacteristic
358C2×C4×C8C2311yescharacteristic
359#400—21no—
360#400D411yescharacteristic
361#399—21no—
362#399—21no—
363#399—21no—
364#399—21no—
365#399—21no—
366#399D411yescharacteristic
367#398—21no—
368#398—21no—
369#398—21no—
370#398—21no—
371#398—21no—
372#398—21no—
373#398D411yescharacteristic
374#397—21no—
375#397—21no—
376#397—21no—
377#397—21no—
378#397—21no—
379#397—21no—
380#397—21no—
381#397D411yescharacteristic
382#397D411yescharacteristic
383#397D411yescharacteristic
384#396—21no—
385#396—21no—
386#395—21no—
387#395—21no—
388#394—21no—
389#394—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394D411yescharacteristic
404#394D411yescharacteristic
405#393—21no—
406#393—21no—
407#390—21no—
408#390—21no—
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#389—21no—
420#389—21no—
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#389C2311yescharacteristic
425#389C2311yescharacteristic
426#389C2311yescharacteristic
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#387—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#384—21no—
460#384—21no—
461#384C2311yescharacteristic
462#384C2311yescharacteristic
463#384C2311yescharacteristic
464#383—21no—
465#382C2311yescharacteristic
466#381—21no—
467#380—21no—
468#380—21no—
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#379—21no—
476#379—21no—
477#379—21no—
478C4×C4⋊C4—21no—
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
482C4×C4⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486C2×#95—21no—
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515C25—21no—
516C25—21no—
517C22×Q8—21no—
518C22×Q8—21no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—22no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—22no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—44no—
539C22×D4—82no—
540C22×D4—82no—
541C22×D4C2×D411yescharacteristic
542C22×D4C2×D414yes—
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C2×D8—22no—
560C2×D8—22no—
561C2×D8—22no—
562C2×D8—22no—
563C2×D8—22no—
564C2×D8—41no—
565C2×D8—41no—
566C2×D8—41no—
567C2×D8—41no—
568C2×M16—41no—
569C2×M16—41no—
570C2×M16C2×D414yes—
571C22×C8—22no—
572C22×C8—22no—
573C22×C8—41no—
574C22×C8—41no—
575C22×C8—41no—
576C22×C8—41no—
577C22×C8C2411yescharacteristic
578C22×C8C2411yescharacteristic
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C4⋊Q8—22no—
586C4⋊Q8—22no—
587C4⋊Q8—41no—
588C4⋊Q8—41no—
589C4⋊Q8—44no—
590#127—22no—
591#127—41no—
592#126—44no—
593#125—22no—
594#125—22no—
595#125—22no—
596#125—41no—
597#125—41no—
598#125—41no—
599#125—44no—
600#123—44no—
601#123—82no—
602#123—82no—
603#123—82no—
604#123—82no—
605#123—82no—
606C22⋊Q8—44no—
607C22⋊Q8—44no—
608C22⋊Q8—82no—
609C22⋊Q8—82no—
610C22⋊Q8—82no—
611C22⋊Q8—82no—
612#121—22no—
613#121—22no—
614#121—22no—
615#121—22no—
616#121—22no—
617#121—22no—
618#121—44no—
619#121—41no—
620#121—41no—
621#121—44no—
622#120—44no—
623#120—44no—
624C4×D4—22no—
625C4×D4—22no—
626C4×D4—22no—
627C4×D4—22no—
628C4×D4—22no—
629C4×D4—22no—
630C4×D4—22no—
631C4×D4—22no—
632C4×D4—22no—
633C4×D4—22no—
634C4×D4—44no—
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—44no—
644C4×D4—44no—
645#117—22no—
646#117—22no—
647#117—22no—
648#117—22no—
649#117—22no—
650#117C2×D414yes—
651C2×C4⋊C4—22no—
652C2×C4⋊C4—22no—
653C2×C4⋊C4—22no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
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—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⋊C4—82no—
682C2×C4⋊C4C2×D411yescharacteristic
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2×D411yescharacteristic
687C2×C4⋊C4C2×D411yescharacteristic
688C2×C4⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C4⋊C4C2411yescharacteristic
692C2×C4⋊C4C2411yescharacteristic
693C2×C4⋊C4C2411yescharacteristic
694C2×C4⋊C4C2411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
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—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—44no—
742C2×C22⋊C4—44no—
743C2×C22⋊C4—82no—
744C2×C22⋊C4—82no—
745C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42C2411yescharacteristic
761C2×C42C2411yescharacteristic
762C2×C42C2411yescharacteristic
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765#107—22no—
766#107—22no—
767#107—22no—
768#107—22no—
769#107—22no—
770#107—41no—
771#107—41no—
772#106—22no—
773#106—22no—
774#106—22no—
775#106—22no—
776#106—22no—
777#106—22no—
778#106—41no—
779#106—41no—
780#106—41no—
781#106—41no—
782C4⋊C8—22no—
783C4⋊C8—22no—
784C4⋊C8—22no—
785C4⋊C8—22no—
786C4⋊C8—22no—
787C4⋊C8—41no—
788C4⋊C8—41no—
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—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—41no—
802#102—41no—
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#102C2×D414yes—
812#102C2×D414yes—
813#102C2×D414yes—
814#102C2×D414yes—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820#97—22no—
821#97—41no—
822C4×C8—41no—
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#95—21no—
842#95—21no—
843#95C2×D411yescharacteristic
844#95C2×D411yescharacteristic
845#95C2×D411yescharacteristic
846#95C2×D411yescharacteristic
847#95C2×D411yescharacteristic
848#95C2×D411yescharacteristic
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853C24—21no—
854C24—21no—
855C24—24no—
856C24—21no—
857C24—21no—
858C24—42no—
859C24—42no—
860C24—42no—
861C24—42no—
862C24—42no—
863C24—42no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24—81no—
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873C2×Q8—42no—
874C2×Q8—42no—
875C2×Q8—81no—
876C2×Q8—81no—
877C2×Q8—81no—
878C2×Q8—81no—
879C2×D4—28no—
880C2×D4—22no—
881C2×D4—22no—
882C2×D4—24no—
883C2×D4—21no—
884C2×D4—21no—
885C2×D4—21no—
886C2×D4—21no—
887C2×D4—21no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—21no—
891C2×D4—21no—
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—44no—
904C2×D4—44no—
905C2×D4—44no—
906C2×D4—41no—
907C2×D4—42no—
908C2×D4—42no—
909C2×D4—42no—
910C2×D4—42no—
911C2×D4—42no—
912C2×D4—42no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4—42no—
916C2×D4—44no—
917C2×D4—42no—
918C2×D4—42no—
919C2×D4—42no—
920C2×D4—42no—
921C2×D4—42no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—82no—
926C2×D4—82no—
927C2×D4—82no—
928C2×D4—81no—
929C2×D4—81no—
930C2×D4—81no—
931C2×D4—81no—
932C2×D4—81no—
933C2×D4—81no—
934C2×D4—816no—
935C2×D4C22×D412yes—
936C2×D4C22×D412yes—
937C2×D42−1+412yes—
938C2×D42−1+412yes—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—42no—
962C22×C4—42no—
963C22×C4—42no—
964C22×C4—42no—
965C22×C4—42no—
966C22×C4—42no—
967C22×C4—42no—
968C22×C4—42no—
969C22×C4—42no—
970C22×C4—42no—
971C22×C4—42no—
972C22×C4—42no—
973C22×C4—81no—
974C22×C4—81no—
975C22×C4—81no—
976C22×C4—81no—
977C22×C4—81no—
978C22×C4—81no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—81no—
982C22×C4—81no—
983C22×C4—81no—
984C22×C4—81no—
985C22×C4—81no—
986C22×C4—81no—
987C22×C4—81no—
988C22×C4—81no—
989C22×C4—81no—
990C22×C4—81no—
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C22×D411yescharacteristic
995C22×C4C22×D411yescharacteristic
996C22×C4C22×D411yescharacteristic
997C22×C4C22×D411yescharacteristic
998C22×C4C22×D411yescharacteristic
999C22×C4C22×D411yescharacteristic
1000C22×C4C22×D411yescharacteristic
1001C22×C4C22×D411yescharacteristic
1002C22×C4C22×D412yes—
1003C22×C4C22×D411yescharacteristic
1004C22×C4H(5,𝔽2)12yes—
1005C22×C4C2511yescharacteristic
1006D8—44no—
1007D8—82no—
1008D8—82no—
1009M16—44no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—44no—
1033C2×C8—82no—
1034C2×C8C22×D412yes—
1035C2×C8C22×D412yes—
1036C4⋊C4—22no—
1037C4⋊C4—22no—
1038C4⋊C4—22no—
1039C4⋊C4—22no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—21no—
1048C4⋊C4—21no—
1049C4⋊C4—21no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—21no—
1054C4⋊C4—21no—
1055C4⋊C4—21no—
1056C4⋊C4—21no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—41no—
1063C4⋊C4—41no—
1064C4⋊C4—41no—
1065C4⋊C4—42no—
1066C4⋊C4—42no—
1067C4⋊C4—42no—
1068C4⋊C4—42no—
1069C4⋊C4—42no—
1070C4⋊C4—42no—
1071C4⋊C4—42no—
1072C4⋊C4—42no—
1073C4⋊C4—42no—
1074C4⋊C4—42no—
1075C4⋊C4—42no—
1076C4⋊C4—42no—
1077C4⋊C4—42no—
1078C4⋊C4—42no—
1079C4⋊C4—42no—
1080C4⋊C4—81no—
1081C4⋊C4—81no—
1082C4⋊C4—81no—
1083C4⋊C4—81no—
1084C4⋊C4—81no—
1085C4⋊C4—81no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4—81no—
1090C4⋊C4—81no—
1091C4⋊C4C22×D412yes—
1092C4⋊C4C22×D412yes—
1093C22⋊C4—24no—
1094C22⋊C4—22no—
1095C22⋊C4—22no—
1096C22⋊C4—22no—
1097C22⋊C4—22no—
1098C22⋊C4—22no—
1099C22⋊C4—22no—
1100C22⋊C4—22no—
1101C22⋊C4—22no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—42no—
1105C22⋊C4—42no—
1106C22⋊C4—42no—
1107C22⋊C4—42no—
1108C22⋊C4—42no—
1109C22⋊C4—42no—
1110C22⋊C4—42no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
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—
1143C42—24no—
1144C42—21no—
1145C42—21no—
1146C42—21no—
1147C42—21no—
1148C42—21no—
1149C42—21no—
1150C42—21no—
1151C42—21no—
1152C42—21no—
1153C42—21no—
1154C42—42no—
1155C42—81no—
1156C42—81no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—22no—
1173C23—48no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—84no—
1199C23—84no—
1200C23—84no—
1201C23—84no—
1202C23—84no—
1203C23—84no—
1204C23—162no—
1205C23—162no—
1206C23—162no—
1207C23—162no—
1208C23—162no—
1209C23—162no—
1210C23—162no—
1211C23D4212yes—
1212C23#57712yes—
1213C23C23×D411yescharacteristic
1214Q8—162no—
1215Q8—162no—
1216D4—22no—
1217D4—22no—
1218D4—22no—
1219D4—22no—
1220D4—22no—
1221D4—48no—
1222D4—44no—
1223D4—41no—
1224D4—41no—
1225D4—41no—
1226D4—41no—
1227D4—41no—
1228D4—41no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—84no—
1234D4—84no—
1235D4—84no—
1236D4—84no—
1237D4—84no—
1238D4—162no—
1239D4—162no—
1240D4#53614yes—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—84no—
1320C2×C4—84no—
1321C2×C4—162no—
1322C2×C4—162no—
1323C2×C4—162no—
1324C2×C4—162no—
1325C2×C4—162no—
1326C2×C4—162no—
1327C2×C4—162no—
1328C2×C4—162no—
1329C2×C4D4212yes—
1330C2×C4#57612yes—
1331C2×C4C23×D411yescharacteristic
1332C2×C4C2×H(5,𝔽2)11yescharacteristic
1333C2×C4C2×2−1+411yescharacteristic
1334C2×C4C2×2−1+411yescharacteristic
1335C2×C4#58511yescharacteristic
1336C2×C4#58511yescharacteristic
1337C8—22no—
1338C8—22no—
1339C8—41no—
1340C8—41no—
1341C8—41no—
1342C8—41no—
1343C8—41no—
1344C8—41no—
1345C22—22no—
1346C22—24no—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—42no—
1356C22—42no—
1357C22—41no—
1358C22—42no—
1359C22—41no—
1360C22—42no—
1361C22—42no—
1362C22—41no—
1363C22—41no—
1364C22—42no—
1365C22—41no—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—81no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—168no—
1388C22—168no—
1389C22C2×D4211yescharacteristic
1390C22#348911yescharacteristic
1391C22#348911yescharacteristic
1392C22C2×#57611yescharacteristic
1393C22C2×#57711yescharacteristic
1394C22#358511yescharacteristic
1395C22#358511yescharacteristic
1396C4—22no—
1397C4—22no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—42no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—42no—
1408C4—41no—
1409C4—41no—
1410C4—81no—
1411C4—81no—
1412C4—81no—
1413C4—81no—
1414C4—81no—
1415C4—81no—
1416C4—81no—
1417C4—81no—
1418C4—81no—
1419C4—81no—
1420C4C2×#53611yescharacteristic
1421C4#348511yescharacteristic
1422C4#353511yescharacteristic
1423C4#353511yescharacteristic
1424C2—42no—
1425C2—42no—
1426C2—44no—
1427C2—82no—
1428C2—161no—
1429C2—161no—
1430C2#3764711yescharacteristic
1431C2#6107111yescharacteristic
1432C2#6109311yescharacteristic
1433C2#6215611yescharacteristic
1434C2#6216311yescharacteristic
1435C2#6219911yescharacteristic
1436C2#6223511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3318C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3081C2semidirect
3. #42914C2semidirect
4. #35713C2semidirect
5. #33014C2semidirect
6. #31174C2semidirect
7. #31148C2semidirect
8. #31096C2semidirect
9. #31086C2semidirect
10. #30835C2semidirect
11. #30827C2semidirect
12. #30675C2semidirect
13. #30663C2semidirect
14. #29785C2semidirect
15. #29647C2semidirect
16. #27941C2semidirect
17. #27668C2semidirect
18. #27240C2semidirect
19. #27229C2semidirect
20. #26392C2semidirect
21. #26388C2semidirect
22. #26059C2semidirect
23. #26045C2semidirect
24. #25958C2semidirect
25. #25950C2semidirect
26. #24585C2semidirect
27. #24526C2semidirect
28. #24090C2semidirect
29. #24033C2semidirect
30. #22580C2semidirect
31. #22072C2semidirect
34. C2×#544C22semidirect
41. C2×#482C22semidirect
46. C2×#478C22semidirect
47. C2×#478C22semidirect
49. C2×#476C22semidirect
51. C2×#474C22semidirect
59. C2×#428C22semidirect
60. C2×#427C22semidirect
61. C2×#424C22semidirect
73. #2624C22semidirect
75. #2552C22semidirect
76. #2552C22semidirect
78. #2501C22semidirect
80. #2490C22semidirect
81. #2490C22semidirect
84. #2452C22semidirect
85. #2452C22semidirect
90. #2440C22semidirect
91. #2440C22semidirect
102. #2347C22semidirect
106. #2094C22semidirect
107. #2094C22semidirect
108. #2093C22semidirect
109. #2092C22semidirect
110. #2088C22semidirect
111. #2088C22semidirect
112. #2088C22semidirect
113. #2086C22semidirect
114. #2085C22semidirect
115. #2084C22semidirect
116. #2077C22semidirect
117. #2076C22semidirect
118. #2071C22semidirect
119. #2071C22semidirect
120. #2067C22semidirect
121. #2067C22semidirect
122. #2067C22semidirect
123. #2065C22semidirect
124. #2065C22semidirect
125. #2065C22semidirect
126. #2059C22semidirect
127. #2059C22semidirect
128. #2059C22semidirect
129. #2059C22semidirect
130. #2058C22semidirect
131. #2058C22semidirect
132. #2054C22semidirect
133. #2054C22semidirect
134. #2054C22semidirect
135. #2054C22semidirect
140. #2034C22semidirect
141. #2033C22semidirect
142. #2025C22semidirect
143. #2025C22semidirect
144. #2023C22semidirect
145. #2023C22semidirect
146. #1972C22semidirect
147. #1970C22semidirect
148. #1949C22semidirect
149. #1947C22semidirect
150. #1944C22semidirect
151. #1943C22semidirect
152. #1940C22semidirect
153. #1939C22semidirect
154. #1936C22semidirect
155. #1934C22semidirect
156. #1926C22semidirect
157. #1926C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1924C22semidirect
161. #1923C22semidirect
162. #1917C22semidirect
163. #1917C22semidirect
165. #1893C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
177. #1864C22semidirect
178. #1864C22semidirect
181. #1862C22semidirect
182. #1862C22semidirect
183. #1853C22semidirect
184. #1852C22semidirect
185. #1850C22semidirect
186. #1850C22semidirect
187. #1850C22semidirect
188. #1847C22semidirect
189. #1844C22semidirect
190. #1825C22semidirect
191. #1825C22semidirect
192. #1823C22semidirect
193. #1818C22semidirect
194. #1809C22semidirect
195. #1808C22semidirect
196. #1807C22semidirect
204. #1753C22semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C2×#30812
#429142
#357132
#330142
#311742
#311482
#310962
#310862
#308352
#308272
#306752
#306632
#297852
#296472
#279412
#276682
#272402
#272292
#263922
#263882
#260592
#260452
#259582
#259502
#245852
#245262
#240902
#240332
#225802
#220722