Finite Group Databasebeta

← #7034908

Subgroups — #7034908

Order 512.

2005 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3350C211yesmaximal, characteristic, complemented
2C2×#3188C211yesmaximal, characteristic, complemented
3#59028C211yesmaximal, characteristic, complemented
4#59017C211yesmaximal, characteristic, complemented
5#31108C211yesmaximal, characteristic, complemented
6#31105C211yesmaximal, characteristic, complemented
7#31036C211yesmaximal, characteristic, complemented
8#31033C211yesmaximal, characteristic, complemented
9#30804C211yesmaximal, characteristic, complemented
10#30791C211yesmaximal, characteristic, complemented
11#30424C211yesmaximal, characteristic, complemented
12#30413C211yesmaximal, characteristic, complemented
13#28562C211yesmaximal, characteristic, complemented
14#27935C211yesmaximal, characteristic, complemented
15#27249C211yesmaximal, characteristic, complemented
16#27243C211yesmaximal, characteristic, complemented
17#26157C211yesmaximal, characteristic, complemented
18#26146C211yesmaximal, characteristic, complemented
19#25540C211yesmaximal, characteristic, complemented
20#25534C211yesmaximal, characteristic, complemented
21#25207C211yesmaximal, characteristic, complemented
22#25203C211yesmaximal, characteristic, complemented
23#25024C211yesmaximal, characteristic, complemented
24#25023C211yesmaximal, characteristic, complemented
25#24921C211yesmaximal, characteristic, complemented
26#24916C211yesmaximal, characteristic, complemented
27#24009C211yesmaximal, characteristic, complemented
28#24008C211yesmaximal, characteristic, complemented
29#23638C211yesmaximal, characteristic, complemented
30#23135C211yesmaximal, characteristic, complemented
31#22034C211yesmaximal, characteristic, complemented
32C2×#556C2211yescharacteristic, complemented
33C2×#553C2211yescharacteristic
34C2×#525C2211yescharacteristic
35C22×#121C2211yescharacteristic
36#3350—28no—
37#3188—28no—
38C2×#501C2211yescharacteristic, complemented
39C2×#484C2211yescharacteristic
40C2×#481C2211yescharacteristic
41C2×#485C2211yescharacteristic, complemented
42C2×#482C2211yescharacteristic
43C2×#482C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#482C2211yescharacteristic
46C2×#482C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic, complemented
48C2×#483C2211yescharacteristic, complemented
49C2×#479C2211yescharacteristic, complemented
50C2×#476C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#450C2211yescharacteristic
59C2×#447C2211yescharacteristic
60C2×#440C2211yescharacteristic, complemented
61C2×#435C2211yescharacteristic, complemented
62C2×#428C2211yescharacteristic, complemented
63C2×#427C2211yescharacteristic, complemented
64C22×C22⋊C8C2211yescharacteristic
65#2701—21no—
66#2688—21no—
67#2685—21no—
68#2670—21no—
69#2559—21no—
70#2554—21no—
71#2536C2211yescharacteristic
72#2535C2211yescharacteristic
73#2500C2211yescharacteristic
74#2500C2211yescharacteristic, complemented
75#2491C2211yescharacteristic
76#2490C2211yescharacteristic
77#2480—21no—
78#2468—21no—
79#2467—21no—
80#2464—21no—
81#2459—21no—
82#2458—21no—
83#2442C2211yescharacteristic
84#2439C2211yescharacteristic, complemented
85#2423C2211yescharacteristic
86#2422C2211yescharacteristic
87#2416C2211yescharacteristic
88#2414C2211yescharacteristic
89#2414C2211yescharacteristic
90#2414C2211yescharacteristic, complemented
91#2408—21no—
92#2408C2211yescharacteristic
93#2407C2211yescharacteristic, complemented
94#2405—21no—
95#2367—21no—
96#2363C2211yescharacteristic
97#2362C2211yescharacteristic, complemented
98#2358—21no—
99#2354C2211yescharacteristic, complemented
100D4×C4⋊C4C2211yescharacteristic
101#2341C2211yescharacteristic, complemented
102D4×C22⋊C4C2211yescharacteristic
103C4×#120C2211yescharacteristic
104#2280C2211yescharacteristic
105#2280C2211yescharacteristic
106#2093C2211yescharacteristic, complemented
107#2093C2211yescharacteristic, complemented
108#2092C2211yescharacteristic, complemented
109#2092C2211yescharacteristic, complemented
110#2086C2211yescharacteristic, complemented
111#2084C2211yescharacteristic, complemented
112#2083C2211yescharacteristic, complemented
113#2077C2211yescharacteristic
114#2077C2211yescharacteristic
115#2077C2211yescharacteristic, complemented
116#2077C2211yescharacteristic, complemented
117#2076C2211yescharacteristic
118#2076C2211yescharacteristic, complemented
119#2075C2211yescharacteristic
120#2075C2211yescharacteristic, complemented
121#2075C2211yescharacteristic, complemented
122#2074C2211yescharacteristic, complemented
123#2073C2211yescharacteristic, complemented
124#2067C2211yescharacteristic, complemented
125#2065C2211yescharacteristic, complemented
126#2059C2211yescharacteristic, complemented
127#2058C2211yescharacteristic, complemented
128#2055C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2054C2211yescharacteristic, complemented
131#2036C2211yescharacteristic
132#2035C2211yescharacteristic
133#2035C2211yescharacteristic, complemented
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic
136#2034C2211yescharacteristic
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic
139#2033C2211yescharacteristic
140#2033C2211yescharacteristic
141#2025C2211yescharacteristic, complemented
142#2023C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1972C2211yescharacteristic, complemented
147#1972C2211yescharacteristic, complemented
148#1955C2211yescharacteristic
149#1955C2211yescharacteristic, complemented
150#1949C2211yescharacteristic, complemented
151#1949C2211yescharacteristic, complemented
152#1936C2211yescharacteristic, complemented
153#1936C2211yescharacteristic, complemented
154#1936C2211yescharacteristic, complemented
155#1935C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1924C2211yescharacteristic
159#1924C2211yescharacteristic
160#1924C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1920C2211yescharacteristic, complemented
163#1919C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1877C2211yescharacteristic, complemented
172#1875C2211yescharacteristic
173#1875C2211yescharacteristic
174#1875C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1873C2211yescharacteristic, complemented
178#1870C2211yescharacteristic
179#1870C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1854C2211yescharacteristic, complemented
185#1854C2211yescharacteristic, complemented
186#1853C2211yescharacteristic
187#1852C2211yescharacteristic
188#1852C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1847C2211yescharacteristic, complemented
191#1847C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1779C2211yescharacteristic
199#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1752C2211yescharacteristic, complemented
202#1735C2211yescharacteristic, complemented
203#1735C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#556—24no—
217#556—42no—
218#553—24no—
219#553—42no—
220C2×C4⋊Q8C2311yescharacteristic
221C2×#126—21no—
222C2×#126—21no—
223C2×#126—21no—
224C2×#125C2311yescharacteristic
225C2×#124—21no—
226C2×#124—21no—
227#525—24no—
228#525—42no—
229C2×#123—21no—
230C2×#123—21no—
231C2×#123—21no—
232C2×C22⋊Q8C2311yescharacteristic
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—24no—
240C2×#121—42no—
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#120—21no—
251C2×#120—21no—
252C2×#120D411yescharacteristic
253C2×C4×Q8—21no—
254C2×C4×Q8C2311yescharacteristic
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4—21no—
259C2×C4×D4—21no—
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×#117C2311yescharacteristic
266C2×#117C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275#501—24no—
276#485—24no—
277#484—24no—
278#483—24no—
279#482—24no—
280#482—24no—
281#482—24no—
282#482—24no—
283#482—42no—
284#482—42no—
285#481—24no—
286#479—24no—
287#476—24no—
288#468—24no—
289#466—24no—
290#466—24no—
291#465—24no—
292#465D418yescomplemented
293#450—24no—
294#449—24no—
295#449—24no—
296#447—24no—
297#440—24no—
298#435—24no—
299#428—24no—
300#427—24no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#107C2311yescharacteristic
307C2×#107C2311yescharacteristic
308C2×#107C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×#106C2311yescharacteristic
312C2×#106C2311yescharacteristic
313C2×#106C2311yescharacteristic
314C2×#106C2311yescharacteristic
315C2×#106C2311yescharacteristic
316C2×#106C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
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×C22⋊C8—24no—
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×C22⋊C8C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×#97C2311yescharacteristic
359C2×#97C2311yescharacteristic
360C2×#97C2311yescharacteristic
361#400—21no—
362#399—21no—
363#398—21no—
364#398—21no—
365#398—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#396—21no—
370#396—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#393—21no—
386#393—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#391—21no—
394#391C2311yescharacteristic
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#389—21no—
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#387—21no—
433#387—21no—
434#387—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386D411yescharacteristic
443#386D411yescharacteristic
444#386D411yescharacteristic
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#385—21no—
450#385D411yescharacteristic
451#385D411yescharacteristic
452#385D411yescharacteristic
453#384C2311yescharacteristic
454#384C2311yescharacteristic
455#382C2311yescharacteristic
456#382C2311yescharacteristic
457#381—21no—
458#381—21no—
459#380—21no—
460#380—21no—
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#380C2311yescharacteristic
470#380C2311yescharacteristic
471#379—21no—
472#379—21no—
473#379—21no—
474#379—21no—
475#379D411yescharacteristic
476C4×C4⋊C4—21no—
477C4×C4⋊C4—21no—
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4—21no—
484C4×C22⋊C4—21no—
485C4×C22⋊C4—21no—
486C4×C22⋊C4C2311yescharacteristic
487C4×C22⋊C4C2311yescharacteristic
488C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515C25—21no—
516C25C2×D411yescharacteristic
517C2×#41—22no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C22×Q8—21no—
524C22×Q8C2411yescharacteristic
525C22×D4—21no—
526C22×D4—22no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—44no—
543C22×D4—82no—
544C22×D4—82no—
545C22×D4C2×D411yescharacteristic
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4C2×D411yescharacteristic
563C23×C4C2×D411yescharacteristic
564C23×C4C2×D411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C2×SD16—22no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16C2×D414yes—
575C2×D8—22no—
576C2×D8—22no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×M16—22no—
582C2×M16—41no—
583C2×M16—41no—
584C22×C8—22no—
585C22×C8—41no—
586C22×C8—41no—
587C22×C8—41no—
588C22×C8—41no—
589C22×C8C2×D414yes—
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593C22×C8C2411yescharacteristic
594C22×C8C2411yescharacteristic
595C22×C8C2411yescharacteristic
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C4⋊Q8—22no—
599C4⋊Q8—41no—
600#126—44no—
601#126—44no—
602#126—44no—
603#125—22no—
604#125—41no—
605#124—44no—
606#124—44no—
607#123—44no—
608#123—44no—
609#123—82no—
610C22⋊Q8—22no—
611C22⋊Q8—22no—
612C22⋊Q8—22no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8C2×D414yes—
616#121—22no—
617#121—22no—
618#121—22no—
619#121—22no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—22no—
624#121—22no—
625#121—44no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—44no—
631#121—44no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—82no—
637#121C2×D414yes—
638#120—42no—
639#120—44no—
640#120—44no—
641C4×Q8—22no—
642C4×Q8—41no—
643C4×Q8—41no—
644C4×Q8—41no—
645C4×Q8—44no—
646C4×D4—22no—
647C4×D4—22no—
648C4×D4—22no—
649C4×D4—41no—
650C4×D4—41no—
651C4×D4—41no—
652C4×D4—41no—
653C4×D4—41no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—44no—
657C4×D4—44no—
658C4×D4—44no—
659C4×D4—82no—
660#117—22no—
661#117—22no—
662#117—22no—
663#117—22no—
664#117—22no—
665#117—22no—
666#117—41no—
667#117—41no—
668#117—41no—
669#117—41no—
670#117—41no—
671#117—41no—
672C2×C4⋊C4—21no—
673C2×C4⋊C4—22no—
674C2×C4⋊C4—22no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2×D411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
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—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—44no—
754C2×C22⋊C4—82no—
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779C2×C42C2411yescharacteristic
780#107—22no—
781#107—22no—
782#107—22no—
783#107—22no—
784#107—22no—
785#107—22no—
786#107—41no—
787#107—41no—
788#106—22no—
789#106—22no—
790#106—22no—
791#106—22no—
792#106—22no—
793#106—41no—
794#106—41no—
795#106C2×D414yes—
796C4⋊C8—22no—
797C4⋊C8—41no—
798C4⋊C8—41no—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—41no—
803#103—41no—
804#103C2×D414yes—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—41no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102C2×D414yes—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—22no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836#97—22no—
837#97—41no—
838#97—41no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867C24—21no—
868C24—22no—
869C24—22no—
870C24—21no—
871C24—21no—
872C24—41no—
873C24—41no—
874C24—41no—
875C24—41no—
876C24—41no—
877C24—42no—
878C24—42no—
879C24—42no—
880C24—42no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24C22×D411yescharacteristic
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887C24C22×D411yescharacteristic
888#41—82no—
889#41—82no—
890#41—82no—
891#41—82no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—42no—
898C2×Q8—42no—
899C2×Q8—81no—
900C2×Q8C22×D412yes—
901C2×D4—22no—
902C2×D4—22no—
903C2×D4—24no—
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—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—42no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—81no—
944C2×D4—82no—
945C2×D4—82no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—816no—
965C2×D4C22×D412yes—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—22no—
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—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—82no—
1017C22×C4—82no—
1018C22×C4—82no—
1019C22×C4—82no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D412yes—
1040C22×C4H(5,𝔽2)12yes—
1041C22×C4C2511yescharacteristic
1042SD16—44no—
1043SD16—82no—
1044D8—82no—
1045D8—82no—
1046M16—44no—
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×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—44no—
1070C2×C8—82no—
1071C2×C8C22×D412yes—
1072C2×C8C22×D412yes—
1073C4⋊C4—24no—
1074C4⋊C4—22no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4C22×D412yes—
1117C4⋊C4C22×D412yes—
1118C22⋊C4—24no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—24no—
1122C22⋊C4—22no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—42no—
1184C42—42no—
1185C42—42no—
1186C42—81no—
1187C42—81no—
1188C42—81no—
1189C42—81no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—22no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—44no—
1218C23—44no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—82no—
1240C23—82no—
1241C23—82no—
1242C23—84no—
1243C23—84no—
1244C23—82no—
1245C23—82no—
1246C23—84no—
1247C23—84no—
1248C23—162no—
1249C23—162no—
1250C23—162no—
1251C23D4212yes—
1252C23#57512yes—
1253C23C23×D411yescharacteristic
1254Q8—22no—
1255Q8—22no—
1256Q8—41no—
1257Q8—41no—
1258Q8—84no—
1259D4—22no—
1260D4—22no—
1261D4—44no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—82no—
1273D4—84no—
1274D4—84no—
1275D4—82no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—162no—
1284D4—162no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—22no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—22no—
1306C2×C4—22no—
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—21no—
1319C2×C4—21no—
1320C2×C4—21no—
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—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—82no—
1370C2×C4—82no—
1371C2×C4—82no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—162no—
1375C2×C4—162no—
1376C2×C4—162no—
1377C2×C4D4212yes—
1378C2×C4C23×D411yescharacteristic
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4#58511yescharacteristic
1381C2×C4#58511yescharacteristic
1382C2×C4#58511yescharacteristic
1383C2×C4#58511yescharacteristic
1384C8—22no—
1385C8—22no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—42no—
1416C22—41no—
1417C22—41no—
1418C22—42no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—42no—
1423C22—88no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—168no—
1443C22C2×D4211yescharacteristic
1444C22#348511yescharacteristic
1445C22#348511yescharacteristic
1446C22C2×#57511yescharacteristic
1447C22#358411yescharacteristic
1448C22#358511yescharacteristic
1449C22#358511yescharacteristic
1450C4—22no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—42no—
1457C4—41no—
1458C4—42no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—42no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4#348511yescharacteristic
1474C4#350011yescharacteristic
1475C4#356011yescharacteristic
1476C4#356011yescharacteristic
1477C2—42no—
1478C2—42no—
1479C2—81no—
1480C2—81no—
1481C2—82no—
1482C2—161no—
1483C2—161no—
1484C2#4349211yescharacteristic
1485C2#6103011yescharacteristic
1486C2#6105911yescharacteristic
1487C2#6171311yescharacteristic
1488C2#6171411yescharacteristic
1489C2#6175111yescharacteristic
1490C2#6176211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3350C2semidirect
2. C2×#3188C2semidirect
3. #59028C2semidirect
4. #59017C2semidirect
5. #31108C2semidirect
6. #31105C2semidirect
7. #31036C2semidirect
8. #31033C2semidirect
9. #30804C2semidirect
10. #30791C2semidirect
11. #30424C2semidirect
12. #30413C2semidirect
13. #28562C2semidirect
14. #27935C2semidirect
15. #27249C2semidirect
16. #27243C2semidirect
17. #26157C2semidirect
18. #26146C2semidirect
19. #25540C2semidirect
20. #25534C2semidirect
21. #25207C2semidirect
22. #25203C2semidirect
23. #25024C2semidirect
24. #25023C2semidirect
25. #24921C2semidirect
26. #24916C2semidirect
27. #24009C2semidirect
28. #24008C2semidirect
29. #23638C2semidirect
30. #23135C2semidirect
31. #22034C2semidirect
32. C2×#556C22semidirect
38. C2×#501C22semidirect
41. C2×#485C22semidirect
46. C2×#482C22semidirect
47. C2×#482C22semidirect
48. C2×#483C22semidirect
49. C2×#479C22semidirect
50. C2×#476C22semidirect
51. C2×#468C22semidirect
60. C2×#440C22semidirect
61. C2×#435C22semidirect
62. C2×#428C22semidirect
63. C2×#427C22semidirect
74. #2500C22semidirect
84. #2439C22semidirect
90. #2414C22semidirect
93. #2407C22semidirect
97. #2362C22semidirect
99. #2354C22semidirect
101. #2341C22semidirect
106. #2093C22semidirect
107. #2093C22semidirect
108. #2092C22semidirect
109. #2092C22semidirect
110. #2086C22semidirect
111. #2084C22semidirect
112. #2083C22semidirect
115. #2077C22semidirect
116. #2077C22semidirect
118. #2076C22semidirect
120. #2075C22semidirect
121. #2075C22semidirect
122. #2074C22semidirect
123. #2073C22semidirect
124. #2067C22semidirect
125. #2065C22semidirect
126. #2059C22semidirect
127. #2058C22semidirect
128. #2055C22semidirect
129. #2054C22semidirect
130. #2054C22semidirect
133. #2035C22semidirect
137. #2034C22semidirect
141. #2025C22semidirect
142. #2023C22semidirect
143. #2000C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1972C22semidirect
147. #1972C22semidirect
149. #1955C22semidirect
150. #1949C22semidirect
151. #1949C22semidirect
152. #1936C22semidirect
153. #1936C22semidirect
154. #1936C22semidirect
155. #1935C22semidirect
156. #1926C22semidirect
157. #1925C22semidirect
160. #1924C22semidirect
161. #1924C22semidirect
162. #1920C22semidirect
163. #1919C22semidirect
164. #1895C22semidirect
165. #1895C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1877C22semidirect
174. #1875C22semidirect
175. #1875C22semidirect
176. #1874C22semidirect
177. #1873C22semidirect
179. #1870C22semidirect
180. #1869C22semidirect
181. #1863C22semidirect
182. #1862C22semidirect
183. #1854C22semidirect
184. #1854C22semidirect
185. #1854C22semidirect
188. #1852C22semidirect
189. #1850C22semidirect
190. #1847C22semidirect
191. #1847C22semidirect
192. #1803C22semidirect
193. #1802C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
199. #1763C22semidirect
200. #1762C22semidirect
201. #1752C22semidirect
202. #1735C22semidirect
203. #1735C22semidirect
204. #1735C22semidirect
292. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33502
C2×#31882
#590282
#590172
#311082
#311052
#310362
#310332
#308042
#307912
#304242
#304132
#285622
#279352
#272492
#272432
#261572
#261462
#255402
#255342
#252072
#252032
#250242
#250232
#249212
#249162
#240092
#240082
#236382
#231352
#220342