Finite Group Databasebeta

← #6784953

Subgroups — #6784953

Order 512.

1941 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36410C211yesmaximal, characteristic, complemented
2#36360C211yesmaximal, characteristic, complemented
3#33135C211yesmaximal, characteristic, complemented
4#32675C211yesmaximal, characteristic, complemented
5#32658C211yesmaximal, characteristic, complemented
6#32616C211yesmaximal, characteristic, complemented
7#32613C211yesmaximal, characteristic, complemented
8#31200C211yesmaximal, characteristic, complemented
9#31063C211yesmaximal, characteristic, complemented
10#31036C211yesmaximal, characteristic, complemented
11#31034C211yesmaximal, characteristic, complemented
12#30327C211yesmaximal, characteristic, complemented
13#30322C211yesmaximal, characteristic, complemented
14#29478C211yesmaximal, characteristic, complemented
15#29476C211yesmaximal, characteristic, complemented
16#28318C211yesmaximal, characteristic, complemented
17#28310C211yesmaximal, characteristic, complemented
18#26141C211yesmaximal, characteristic, complemented
19#26127C211yesmaximal, characteristic, complemented
20#24876C211yesmaximal, characteristic, complemented
21#24862C211yesmaximal, characteristic, complemented
22#24510C211yesmaximal, characteristic, complemented
23#24510C211yesmaximal, characteristic, complemented
24#24435C211yesmaximal, characteristic, complemented
25#24428C211yesmaximal, characteristic, complemented
26#23857C211yesmaximal, characteristic, complemented
27#23850C211yesmaximal, characteristic, complemented
28#22051C211yesmaximal, characteristic, complemented
29#22049C211yesmaximal, characteristic, complemented
30#21379C211yesmaximal, characteristic, complemented
31#21228C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C2×#550C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×C4×#41C2211yescharacteristic
36C2×#481C2211yescharacteristic
37C2×#481C2211yescharacteristic
38C2×#485C2211yescharacteristic, complemented
39C2×#482C2211yescharacteristic
40C2×#466C2211yescharacteristic
41C2×#452C2211yescharacteristic, complemented
42C2×#449C2211yescharacteristic
43C2×#449C2211yescharacteristic
44C2×#449C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#450C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#432C2211yescharacteristic, complemented
50C2×#427C2211yescharacteristic, complemented
51C2×#416C2211yescharacteristic
52C2×#416C2211yescharacteristic, complemented
53C22×#97C2211yescharacteristic, complemented
54#2856C2211yescharacteristic
55#2855C2211yescharacteristic
56#2854C2211yescharacteristic
57#2854C2211yescharacteristic, complemented
58#2854C2211yescharacteristic, complemented
59#2850C2211yescharacteristic
60#2592C2211yescharacteristic
61#2582C2211yescharacteristic, complemented
62#2580C2211yescharacteristic
63#2548C2211yescharacteristic, complemented
64#2476—21no—
65#2476—21no—
66#2476—21no—
67#2471—21no—
68#2464—21no—
69#2464—21no—
70#2458—21no—
71#2456—21no—
72#2445—21no—
73#2431—21no—
74#2418—21no—
75#2417C2211yescharacteristic
76#2414C2211yescharacteristic
77#2414C2211yescharacteristic
78#2414C2211yescharacteristic
79#2408C2211yescharacteristic
80#2407C2211yescharacteristic
81#2407C2211yescharacteristic
82#2407C2211yescharacteristic
83#2404—21no—
84#2367—21no—
85#2363—21no—
86#2358—21no—
87#2354C2211yescharacteristic, complemented
88#2352C2211yescharacteristic
89#2342—21no—
90C4×C22⋊Q8C2211yescharacteristic
91C4×#121C2211yescharacteristic
92#2297C2211yescharacteristic
93#2297C2211yescharacteristic, complemented
94#2297C2211yescharacteristic, complemented
95C2×#390C2211yescharacteristic
96#2097C2211yescharacteristic, complemented
97#2094C2211yescharacteristic
98#2094C2211yescharacteristic
99#2092C2211yescharacteristic, complemented
100#2085C2211yescharacteristic, complemented
101#2083C2211yescharacteristic, complemented
102#2077C2211yescharacteristic
103#2077C2211yescharacteristic, complemented
104#2073C2211yescharacteristic, complemented
105#2072C2211yescharacteristic, complemented
106#2067C2211yescharacteristic
107#2067C2211yescharacteristic, complemented
108#2066C2211yescharacteristic, complemented
109#2066C2211yescharacteristic, complemented
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic, complemented
112#2054C2211yescharacteristic
113#2054C2211yescharacteristic
114#2042C2211yescharacteristic
115#2041C2211yescharacteristic, complemented
116#2036C2211yescharacteristic
117#2035C2211yescharacteristic
118#2035C2211yescharacteristic, complemented
119#2034C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic
123#2033C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2014C2211yescharacteristic, complemented
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2001C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic, complemented
134#1999C2211yescharacteristic
135#1999C2211yescharacteristic
136#1985C2211yescharacteristic, complemented
137#1985C2211yescharacteristic, complemented
138#1973C2211yescharacteristic
139#1973C2211yescharacteristic
140#1973C2211yescharacteristic
141#1973C2211yescharacteristic, complemented
142#1973C2211yescharacteristic, complemented
143#1973C2211yescharacteristic, complemented
144#1972C2211yescharacteristic
145#1972C2211yescharacteristic
146#1972C2211yescharacteristic
147#1972C2211yescharacteristic
148#1972C2211yescharacteristic
149#1972C2211yescharacteristic
150#1971C2211yescharacteristic, complemented
151#1971C2211yescharacteristic, complemented
152#1955C2211yescharacteristic
153#1955C2211yescharacteristic
154#1944C2211yescharacteristic, complemented
155#1944C2211yescharacteristic, complemented
156#1936C2211yescharacteristic
157#1936C2211yescharacteristic
158#1936C2211yescharacteristic
159#1936C2211yescharacteristic, complemented
160#1936C2211yescharacteristic, complemented
161#1936C2211yescharacteristic, complemented
162#1935C2211yescharacteristic, complemented
163#1935C2211yescharacteristic, complemented
164#1927C2211yescharacteristic, complemented
165#1927C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1925C2211yescharacteristic
168#1925C2211yescharacteristic
169#1925C2211yescharacteristic, complemented
170#1920C2211yescharacteristic, complemented
171#1919C2211yescharacteristic, complemented
172#1893C2211yescharacteristic
173#1893C2211yescharacteristic, complemented
174#1880C2211yescharacteristic
175#1880C2211yescharacteristic
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic
180#1875C2211yescharacteristic
181#1875C2211yescharacteristic
182#1875C2211yescharacteristic, complemented
183#1872C2211yescharacteristic
184#1869C2211yescharacteristic
185#1869C2211yescharacteristic
186#1869C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1862C2211yescharacteristic
190#1854C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1852C2211yescharacteristic
194#1807C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1749C2211yescharacteristic
200#1749C2211yescharacteristic
201#1749C2211yescharacteristic, complemented
202#1749C2211yescharacteristic, complemented
203C22×#41D411yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C2×#135—24no—
209C2×#135—42no—
210C2×#135—42no—
211C22×Q16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222#550—42no—
223#550—42no—
224#546—42no—
225#546—42no—
226C2×#127—21no—
227C2×#127C2311yescharacteristic
228C2×#124—21no—
229C2×#124C2311yescharacteristic
230C2×#123—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×C22⋊Q8C2311yescharacteristic
235C2×C22⋊Q8C2311yescharacteristic
236C2×C22⋊Q8C2311yescharacteristic
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#120—21no—
250C2×#120—21no—
251C4×#41—42no—
252C4×#41—42no—
253C2×C4×Q8D411yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4—21no—
257C2×C4×D4—21no—
258C2×C4×D4D411yescharacteristic
259C2×C4×D4D411yescharacteristic
260C2×C4×D4D411yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×#117D411yescharacteristic
266C2×#117D411yescharacteristic
267C2×#117D411yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275C22×C42C2311yescharacteristic
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278#485—42no—
279#482—42no—
280#481—42no—
281#481—42no—
282#466—42no—
283#452—42no—
284#450—24no—
285#449—24no—
286#449—42no—
287#449—42no—
288#449—42no—
289#447—42no—
290#447—42no—
291#432—42no—
292#427—42no—
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306#416—42no—
307#416—42no—
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×#97—42no—
349C2×#97C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×#97C2311yescharacteristic
353C2×#97C2311yescharacteristic
354C2×#97C2311yescharacteristic
355#399—21no—
356#398—21no—
357#398—21no—
358#398—21no—
359#397—21no—
360#396—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#393—21no—
371#393—21no—
372#392—21no—
373#392—21no—
374#392—21no—
375#392—21no—
376#392—21no—
377#392—21no—
378#392—21no—
379#391—21no—
380#391C2311yescharacteristic
381#391C2311yescharacteristic
382#391C2311yescharacteristic
383#391C2311yescharacteristic
384#391C2311yescharacteristic
385#391C2311yescharacteristic
386#390—21no—
387#390—21no—
388#390—21no—
389#390—21no—
390#390—21no—
391#390—21no—
392#390—21no—
393#390—21no—
394#390—21no—
395#390C2311yescharacteristic
396#390C2311yescharacteristic
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#389—21no—
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#387—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#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#385—21no—
453#385—21no—
454#385—21no—
455#385—21no—
456#385—21no—
457#385—21no—
458#385—21no—
459#384C2311yescharacteristic
460#382C2311yescharacteristic
461#381—21no—
462#380—21no—
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
470C4×C4⋊C4—21no—
471C4×C4⋊C4—21no—
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C22⋊C4—21no—
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4—21no—
478C4×C22⋊C4—21no—
479C4×C22⋊C4—21no—
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—22no—
512C2×#41—22no—
513C2×#41—42no—
514C2×#41—42no—
515C2×#41—42no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C22×Q8C2×D411yescharacteristic
528C22×Q8C2411yescharacteristic
529C22×Q8C2411yescharacteristic
530C22×D4—22no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4C2×D411yescharacteristic
550C22×D4C2×D411yescharacteristic
551C22×D4C2×D411yescharacteristic
552C22×D4C2411yescharacteristic
553C22×D4C2411yescharacteristic
554C22×D4C2411yescharacteristic
555C22×D4C2411yescharacteristic
556C23×C4—21no—
557C23×C4—21no—
558C23×C4—21no—
559C23×C4—21no—
560C23×C4—21no—
561C23×C4C2×D411yescharacteristic
562C23×C4C2×D411yescharacteristic
563C23×C4C2×D411yescharacteristic
564C23×C4C2×D411yescharacteristic
565C23×C4C2×D411yescharacteristic
566C23×C4C2×D411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570#135—416no—
571C2×Q16—22no—
572C2×Q16—22no—
573C2×Q16—41no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16#4114yescomplemented
586C2×D8—22no—
587C2×D8—22no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C22×C8—22no—
599C22×C8—22no—
600C22×C8—22no—
601C22×C8—22no—
602C22×C8—22no—
603C22×C8—41no—
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612#127—41no—
613#127—41no—
614#127—44no—
615#124—41no—
616#124—41no—
617#124—44no—
618#123—44no—
619#123—82no—
620#123—82no—
621#123—82no—
622C22⋊Q8—22no—
623C22⋊Q8—41no—
624C22⋊Q8—41no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—41no—
628#121—22no—
629#121—22no—
630#121—22no—
631#121—22no—
632#121—22no—
633#121—44no—
634#121—44no—
635#121—44no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—44no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—82no—
647#120—44no—
648#120—44no—
649C4×Q8—41no—
650C4×Q8—41no—
651C4×Q8—42no—
652C4×Q8—41no—
653C4×Q8—41no—
654C4×D4—22no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—22no—
658C4×D4—42no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—42no—
664C4×D4—42no—
665C4×D4—44no—
666C4×D4—82no—
667#117—42no—
668#117—42no—
669#117—42no—
670#117—41no—
671#117—41no—
672#117—41no—
673#117—41no—
674#117—41no—
675#117—41no—
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—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2×D411yescharacteristic
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×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—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—44no—
755C2×C22⋊C4—82no—
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×C42—22no—
763C2×C42—22no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—41no—
771C2×C42—41no—
772C2×C42—41no—
773C2×C42—41no—
774C2×C42C2×D411yescharacteristic
775C2×C42C2×D411yescharacteristic
776C2×C42C2×D411yescharacteristic
777C2×C42C2×D411yescharacteristic
778C2×C42C2×D411yescharacteristic
779C2×C42C2×D411yescharacteristic
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784#107—41no—
785#107—41no—
786#107—41no—
787#107—41no—
788#107—41no—
789#106—22no—
790#106—22no—
791#106—22no—
792#106—41no—
793#106—41no—
794#106—41no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797#103—22no—
798#103—22no—
799#103—22no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—22no—
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#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837#97—41no—
838#97—41no—
839#97—41no—
840#97—41no—
841#97—41no—
842#97—41no—
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#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95—21no—
869#95—21no—
870#95—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—42no—
876C24—42no—
877C24—42no—
878C24—42no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24C22×D411yescharacteristic
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885#41—44no—
886#41—44no—
887#41—44no—
888#41—44no—
889#41—416no—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898C2×Q8—22no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—41no—
911C2×Q8—41no—
912C2×Q8C2×#4112yes—
913C2×D4—22no—
914C2×D4—22no—
915C2×D4—22no—
916C2×D4—22no—
917C2×D4—22no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—41no—
942C2×D4—41no—
943C2×D4—41no—
944C2×D4—41no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—82no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4C2×#4112yes—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—21no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4—81no—
1047C22×C4—81no—
1048C22×C4—81no—
1049C22×C4—81no—
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061C22×C4H(5,𝔽2)12yes—
1062C22×C4H(5,𝔽2)12yes—
1063C22×C4C2511yescharacteristic
1064Q16—44no—
1065SD16—44no—
1066SD16—44no—
1067SD16—82no—
1068SD16—82no—
1069D8—44no—
1070D8—82no—
1071D8—82no—
1072D8—82no—
1073C2×C8—28no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—21no—
1094C2×C8—21no—
1095C2×C8—44no—
1096C2×C8C2×#4112yes—
1097C2×C8H(5,𝔽2)12yes—
1098C2×C8H(5,𝔽2)12yes—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—42no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
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—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—42no—
1169C22⋊C4—42no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C22⋊C4—81no—
1188C22⋊C4—81no—
1189C22⋊C4—81no—
1190C42—22no—
1191C42—22no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—21no—
1198C42—21no—
1199C42—21no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—42no—
1205C42—42no—
1206C42—81no—
1207C42—81no—
1208C42—81no—
1209C42—81no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—22no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—84no—
1258C23—84no—
1259C23—84no—
1260C23—84no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23#53412yes—
1265C23#57512yes—
1266C23C23×D411yescharacteristic
1267Q8—22no—
1268Q8—22no—
1269Q8—44no—
1270Q8—41no—
1271Q8—41no—
1272Q8—41no—
1273Q8—41no—
1274Q8—41no—
1275Q8—41no—
1276D4—22no—
1277D4—22no—
1278D4—44no—
1279D4—44no—
1280D4—44no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—84no—
1296D4—84no—
1297D4—84no—
1298D4—84no—
1299D4—84no—
1300D4—84no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—22no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—44no—
1345C2×C4—44no—
1346C2×C4—44no—
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—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—84no—
1391C2×C4—84no—
1392C2×C4—82no—
1393C2×C4—82no—
1394C2×C4—82no—
1395C2×C4—84no—
1396C2×C4—162no—
1397C2×C4—162no—
1398C2×C4#53412yes—
1399C2×C4#57512yes—
1400C2×C4C22×#4111yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4C2×H(5,𝔽2)11yescharacteristic
1405C2×C4#58511yescharacteristic
1406C8—22no—
1407C8—22no—
1408C8—22no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—42no—
1430C22—41no—
1431C22—42no—
1432C22—41no—
1433C22—42no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—168no—
1464C22C2×#53411yescharacteristic
1465C22D4×#4111yescharacteristic
1466C22#349811yescharacteristic
1467C22C2×#57511yescharacteristic
1468C22C2×#57511yescharacteristic
1469C22#358511yescharacteristic
1470C22#358511yescharacteristic
1471C4—22no—
1472C4—22no—
1473C4—41no—
1474C4—41no—
1475C4—42no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—81no—
1484C4—81no—
1485C4—81no—
1486C4—81no—
1487C4—81no—
1488C4—81no—
1489C4—81no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4#349011yescharacteristic
1495C4#351911yescharacteristic
1496C4#353411yescharacteristic
1497C4#355811yescharacteristic
1498C2—42no—
1499C2—42no—
1500C2—81no—
1501C2—82no—
1502C2—161no—
1503C2—161no—
1504C2—161no—
1505C2#3842411yescharacteristic
1506C2#6074111yescharacteristic
1507C2#6077111yescharacteristic
1508C2#6145611yescharacteristic
1509C2#6145911yescharacteristic
1510C2#6244911yescharacteristic
1511C2#6245111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36410C2semidirect
2. #36360C2semidirect
3. #33135C2semidirect
4. #32675C2semidirect
5. #32658C2semidirect
6. #32616C2semidirect
7. #32613C2semidirect
8. #31200C2semidirect
9. #31063C2semidirect
10. #31036C2semidirect
11. #31034C2semidirect
12. #30327C2semidirect
13. #30322C2semidirect
14. #29478C2semidirect
15. #29476C2semidirect
16. #28318C2semidirect
17. #28310C2semidirect
18. #26141C2semidirect
19. #26127C2semidirect
20. #24876C2semidirect
21. #24862C2semidirect
22. #24510C2semidirect
23. #24510C2semidirect
24. #24435C2semidirect
25. #24428C2semidirect
26. #23857C2semidirect
27. #23850C2semidirect
28. #22051C2semidirect
29. #22049C2semidirect
30. #21379C2semidirect
31. #21228C2semidirect
33. C2×#550C22semidirect
38. C2×#485C22semidirect
41. C2×#452C22semidirect
49. C2×#432C22semidirect
50. C2×#427C22semidirect
52. C2×#416C22semidirect
53. C22×#97C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
61. #2582C22semidirect
63. #2548C22semidirect
87. #2354C22semidirect
93. #2297C22semidirect
94. #2297C22semidirect
96. #2097C22semidirect
99. #2092C22semidirect
100. #2085C22semidirect
101. #2083C22semidirect
103. #2077C22semidirect
104. #2073C22semidirect
105. #2072C22semidirect
107. #2067C22semidirect
108. #2066C22semidirect
109. #2066C22semidirect
111. #2055C22semidirect
115. #2041C22semidirect
118. #2035C22semidirect
123. #2033C22semidirect
125. #2014C22semidirect
133. #2000C22semidirect
136. #1985C22semidirect
137. #1985C22semidirect
141. #1973C22semidirect
142. #1973C22semidirect
143. #1973C22semidirect
150. #1971C22semidirect
151. #1971C22semidirect
154. #1944C22semidirect
155. #1944C22semidirect
159. #1936C22semidirect
160. #1936C22semidirect
161. #1936C22semidirect
162. #1935C22semidirect
163. #1935C22semidirect
164. #1927C22semidirect
165. #1927C22semidirect
166. #1926C22semidirect
169. #1925C22semidirect
170. #1920C22semidirect
171. #1919C22semidirect
173. #1893C22semidirect
178. #1878C22semidirect
182. #1875C22semidirect
186. #1869C22semidirect
187. #1869C22semidirect
188. #1863C22semidirect
190. #1854C22semidirect
191. #1854C22semidirect
192. #1854C22semidirect
194. #1807C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
201. #1749C22semidirect
202. #1749C22semidirect
585. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#364102
#363602
#331352
#326752
#326582
#326162
#326132
#312002
#310632
#310362
#310342
#303272
#303222
#294782
#294762
#283182
#283102
#261412
#261272
#248762
#248622
#245102
#244352
#244282
#238572
#238502
#220512
#220492
#213792
#212282