Finite Group Databasebeta

← #7019286

Subgroups — #7019286

Order 512.

1835 conjugacy classes of subgroups.

The subgroup lattice has 1469 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45236C211yesmaximal, characteristic, complemented
2#44887C211yesmaximal, characteristic, complemented
3#32062C211yesmaximal, characteristic, complemented
4#32061C211yesmaximal, characteristic, complemented
5#31959C211yesmaximal, characteristic, complemented
6#31949C211yesmaximal, characteristic, complemented
7#31198C211yesmaximal, characteristic, complemented
8#31192C211yesmaximal, characteristic, complemented
9#30571C211yesmaximal, characteristic, complemented
10#30560C211yesmaximal, characteristic, complemented
11#28787C211yesmaximal, characteristic, complemented
12#26808C211yesmaximal, characteristic, complemented
13#26802C211yesmaximal, characteristic, complemented
14#26569C211yesmaximal, characteristic, complemented
15#26555C211yesmaximal, characteristic, complemented
16#25960C211yesmaximal, characteristic, complemented
17#25951C211yesmaximal, characteristic, complemented
18#25544C211yesmaximal, characteristic, complemented
19#25538C211yesmaximal, characteristic, complemented
20#24873C211yesmaximal, characteristic, complemented
21#24870C211yesmaximal, characteristic, complemented
22#24275C211yesmaximal, characteristic, complemented
23#24133C211yesmaximal, characteristic, complemented
24#24125C211yesmaximal, characteristic, complemented
25#24015C211yesmaximal, characteristic, complemented
26#24011C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28#22712C211yesmaximal, characteristic, complemented
29#22443C211yesmaximal, characteristic, complemented
30#22037C211yesmaximal, characteristic, complemented
31#21946C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#555C2211yescharacteristic
34C2×#552C2211yescharacteristic, complemented
35C2×#537C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C2×#484C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic
39C2×#482C2211yescharacteristic
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic, complemented
42C2×#480C2211yescharacteristic, complemented
43C2×#475C2211yescharacteristic, complemented
44C2×#478C2211yescharacteristic
45C2×#466C2211yescharacteristic
46C2×#465C2211yescharacteristic
47C2×#440C2211yescharacteristic
48C2×C4×SD16C2211yescharacteristic
49C2×#435C2211yescharacteristic
50C2×#416C2211yescharacteristic
51C22×#102C2211yescharacteristic
52C2×#408C2211yescharacteristic
53#2714—21no—
54#2712—21no—
55#2703—21no—
56#2703—21no—
57#2690—21no—
58#2684—21no—
59#2673—21no—
60#2670—21no—
61#2560—21no—
62#2544—21no—
63#2536C2211yescharacteristic, complemented
64#2535C2211yescharacteristic
65#2504C2211yescharacteristic, complemented
66#2500C2211yescharacteristic
67#2491C2211yescharacteristic
68#2490—21no—
69#2490C2211yescharacteristic, complemented
70#2476—21no—
71#2476—21no—
72#2474—21no—
73#2442C2211yescharacteristic
74#2439C2211yescharacteristic
75#2424—21no—
76#2422C2211yescharacteristic
77#2421C2211yescharacteristic, complemented
78#2416C2211yescharacteristic
79#2414C2211yescharacteristic
80#2414C2211yescharacteristic, complemented
81#2414C2211yescharacteristic, complemented
82#2411—21no—
83#2408C2211yescharacteristic
84#2407C2211yescharacteristic
85#2388C2211yescharacteristic
86#2362C2211yescharacteristic, complemented
87#2361C2211yescharacteristic
88#2354C2211yescharacteristic
89#2352C2211yescharacteristic
90#2341C2211yescharacteristic
91D4×C22⋊C4C2211yescharacteristic
92#2311C2211yescharacteristic
93#2311C2211yescharacteristic
94#2096C2211yescharacteristic, complemented
95#2092C2211yescharacteristic
96#2092C2211yescharacteristic
97#2092C2211yescharacteristic, complemented
98#2085C2211yescharacteristic, complemented
99#2085C2211yescharacteristic, complemented
100#2073C2211yescharacteristic
101#2071C2211yescharacteristic, complemented
102#2067C2211yescharacteristic
103#2065C2211yescharacteristic
104#2065C2211yescharacteristic, complemented
105#2065C2211yescharacteristic, complemented
106#2059C2211yescharacteristic, complemented
107#2057C2211yescharacteristic, complemented
108#2055C2211yescharacteristic
109#2054C2211yescharacteristic
110#2036C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2034C2211yescharacteristic
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic, complemented
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2025C2211yescharacteristic
123#2023C2211yescharacteristic, complemented
124#2000C2211yescharacteristic
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#1999C2211yescharacteristic
130#1999C2211yescharacteristic
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1993C2211yescharacteristic, complemented
135#1991C2211yescharacteristic, complemented
136#1973C2211yescharacteristic
137#1972C2211yescharacteristic
138#1972C2211yescharacteristic
139#1970C2211yescharacteristic
140#1955C2211yescharacteristic, complemented
141#1954C2211yescharacteristic, complemented
142#1949C2211yescharacteristic, complemented
143#1947C2211yescharacteristic, complemented
144#1943C2211yescharacteristic, complemented
145#1942C2211yescharacteristic, complemented
146#1928C2211yescharacteristic, complemented
147#1926C2211yescharacteristic
148#1926C2211yescharacteristic, complemented
149#1925C2211yescharacteristic
150#1924C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1924C2211yescharacteristic, complemented
153#1923C2211yescharacteristic, complemented
154#1880C2211yescharacteristic
155#1880C2211yescharacteristic
156#1879C2211yescharacteristic
157#1879C2211yescharacteristic
158#1875C2211yescharacteristic
159#1875C2211yescharacteristic, complemented
160#1874C2211yescharacteristic
161#1874C2211yescharacteristic
162#1873C2211yescharacteristic, complemented
163#1873C2211yescharacteristic, complemented
164#1869C2211yescharacteristic
165#1869C2211yescharacteristic, complemented
166#1869C2211yescharacteristic, complemented
167#1865C2211yescharacteristic, complemented
168#1864C2211yescharacteristic
169#1863C2211yescharacteristic, complemented
170#1862C2211yescharacteristic
171#1854C2211yescharacteristic
172#1854C2211yescharacteristic
173#1854C2211yescharacteristic, complemented
174#1854C2211yescharacteristic, complemented
175#1854C2211yescharacteristic, complemented
176#1854C2211yescharacteristic, complemented
177#1854C2211yescharacteristic, complemented
178#1854C2211yescharacteristic, complemented
179#1853C2211yescharacteristic, complemented
180#1853C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1852C2211yescharacteristic
184#1852C2211yescharacteristic
185#1850C2211yescharacteristic
186#1836C2211yescharacteristic, complemented
187#1809C2211yescharacteristic
188#1809C2211yescharacteristic
189#1808C2211yescharacteristic, complemented
190#1807C2211yescharacteristic
191#1807C2211yescharacteristic
192#1805C2211yescharacteristic, complemented
193#1804C2211yescharacteristic
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic
199#1776C2211yescharacteristic, complemented
200#1753C2211yescharacteristic
201#1736C2211yescharacteristic
202#1735C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—24no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215C23×C8C2311yescharacteristic
216#555—42no—
217#555—42no—
218#552—42no—
219#552—42no—
220#537—42no—
221#537—42no—
222#535—42no—
223#535—42no—
224C2×C4⋊Q8C2311yescharacteristic
225C2×#127—21no—
226C2×#126—21no—
227C2×#125—21no—
228C2×#125C2311yescharacteristic
229C2×#124—21no—
230C2×#124—21no—
231C2×#124—21no—
232C2×#124—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×C22⋊Q8—21no—
236C2×C22⋊Q8C2311yescharacteristic
237C2×C22⋊Q8C2311yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121C2311yescharacteristic
245C2×#121C2311yescharacteristic
246C2×#121C2311yescharacteristic
247C2×#121C2311yescharacteristic
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#120—21no—
254C2×#120—21no—
255C2×#120—21no—
256C2×C4×Q8C2311yescharacteristic
257C2×C4×Q8C2311yescharacteristic
258C2×C4×D4—21no—
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×#117—21no—
265C2×#117—21no—
266C2×#117C2311yescharacteristic
267C2×#117C2311yescharacteristic
268C2×#117C2311yescharacteristic
269C2×#117C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C22⋊C4—21no—
275#484—42no—
276#482—42no—
277#482—42no—
278#482—42no—
279#482—42no—
280#480—42no—
281#478—42no—
282#475—42no—
283#466—42no—
284#465—42no—
285#440—42no—
286C4×SD16—42no—
287#435—24no—
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#107C2311yescharacteristic
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#106C2311yescharacteristic
297C2×#106C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307#416—42no—
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#102—42no—
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
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
333#408—24no—
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
348C2×#97C2311yescharacteristic
349C2×C4×C8C2311yescharacteristic
350#400—21no—
351#400—21no—
352#398—21no—
353#398—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#396—21no—
361#396—21no—
362#395D411yescharacteristic
363#394—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394D411yescharacteristic
376#394D411yescharacteristic
377#394D411yescharacteristic
378#393—21no—
379#393—21no—
380#393D411yescharacteristic
381#392—21no—
382#392—21no—
383#392—21no—
384#392—21no—
385#392—21no—
386#392—21no—
387#392D411yescharacteristic
388#392D411yescharacteristic
389#392D411yescharacteristic
390#391—21no—
391#391—21no—
392#391—21no—
393#391C2311yescharacteristic
394#390—21no—
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#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#387—21no—
431#387—21no—
432#387—21no—
433#387—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#385—21no—
449#385—21no—
450#385—21no—
451#385—21no—
452#384C2311yescharacteristic
453#382C2311yescharacteristic
454#382C2311yescharacteristic
455#382C2311yescharacteristic
456#380—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#379—21no—
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⋊C4C2311yescharacteristic
477C4×C22⋊C4C2311yescharacteristic
478C4×C22⋊C4C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
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—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C22×Q8—21no—
519C22×Q8C2×D411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×D4—21no—
522C22×D4—22no—
523C22×D4—21no—
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—21no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2×D411yescharacteristic
543C22×D4C2×D411yescharacteristic
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×C4C2411yescharacteristic
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557AGL(1,ℤ/8)—416no—
558C2×SD16—22no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—41no—
564C2×D8—22no—
565C2×D8—22no—
566C2×D8—22no—
567C2×D8—41no—
568C2×D8—41no—
569C2×D8—41no—
570C2×M16—41no—
571C2×M16—41no—
572C2×M16#4114yes—
573C22×C8—22no—
574C22×C8—22no—
575C22×C8—41no—
576C22×C8—41no—
577C22×C8—41no—
578C22×C8—41no—
579C22×C8C2411yescharacteristic
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C4⋊Q8—22no—
588C4⋊Q8—41no—
589#127—44no—
590#126—44no—
591#125—22no—
592#125—41no—
593#125—44no—
594#124—44no—
595#124—44no—
596#124—44no—
597#124—82no—
598#123—44no—
599#123—82no—
600C22⋊Q8—22no—
601C22⋊Q8—22no—
602C22⋊Q8—22no—
603C22⋊Q8—22no—
604C22⋊Q8—41no—
605C22⋊Q8—41no—
606C22⋊Q8—44no—
607#121—22no—
608#121—22no—
609#121—22no—
610#121—22no—
611#121—22no—
612#121—22no—
613#121—44no—
614#121—44no—
615#121—41no—
616#121—41no—
617#121—41no—
618#121—41no—
619#121—41no—
620#121—41no—
621#121—41no—
622#121—41no—
623#121—44no—
624#121—44no—
625#121—41no—
626#121—41no—
627#121—41no—
628#121—41no—
629#121—82no—
630#120—44no—
631#120—44no—
632#120—82no—
633C4×Q8—22no—
634C4×Q8—41no—
635C4×Q8—41no—
636C4×Q8—41no—
637C4×D4—22no—
638C4×D4—22no—
639C4×D4—22no—
640C4×D4—41no—
641C4×D4—41no—
642C4×D4—41no—
643C4×D4—41no—
644C4×D4—41no—
645C4×D4—41no—
646C4×D4—41no—
647C4×D4—82no—
648#117—22no—
649#117—22no—
650#117—22no—
651#117—44no—
652#117—44no—
653#117—41no—
654#117—41no—
655#117—41no—
656#117—41no—
657#117—41no—
658#117—41no—
659#117—41no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—22no—
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—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4C2×D411yescharacteristic
684C2×C4⋊C4C2×D411yescharacteristic
685C2×C4⋊C4C2×D411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—21no—
699C2×C22⋊C4—21no—
700C2×C22⋊C4—21no—
701C2×C22⋊C4—21no—
702C2×C22⋊C4—21no—
703C2×C22⋊C4—21no—
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—82no—
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—21no—
762C2×C42—21no—
763C2×C42C2411yescharacteristic
764C2×C42C2411yescharacteristic
765C2×C42C2411yescharacteristic
766#107—22no—
767#107—22no—
768#107—22no—
769#107—41no—
770#107—41no—
771#107—41no—
772#107—41no—
773#107—41no—
774#106—22no—
775#106—41no—
776#106—41no—
777#106—41no—
778#106—41no—
779#106—41no—
780#106—41no—
781#106—41no—
782C4⋊C8—22no—
783C4⋊C8—41no—
784C4⋊C8—41no—
785#103—22no—
786#103—22no—
787#103—22no—
788#103—41no—
789#103—41no—
790#103—41no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—22no—
795#102—22no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809C22⋊C8—22no—
810C22⋊C8—22no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—22no—
814C22⋊C8—22no—
815C22⋊C8—22no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822#97—22no—
823#97—41no—
824C4×C8—41no—
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#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855C24—21no—
856C24—21no—
857C24—21no—
858C24—42no—
859C24—42no—
860C24—81no—
861C24—81no—
862C24—81no—
863C24—81no—
864C24—81no—
865C24C22×D411yescharacteristic
866C24C22×D411yescharacteristic
867C24C22×D411yescharacteristic
868C24C22×D411yescharacteristic
869#41—44no—
870#41—44no—
871#41—82no—
872#41—82no—
873#41—82no—
874#41—82no—
875#41—82no—
876#41—82no—
877C2×Q8—22no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—41no—
884C2×Q8—41no—
885C2×Q8—42no—
886C2×Q8—81no—
887C2×Q8—81no—
888C2×Q8H(5,𝔽2)12yes—
889C2×D4—24no—
890C2×D4—22no—
891C2×D4—22no—
892C2×D4—22no—
893C2×D4—22no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—44no—
912C2×D4—44no—
913C2×D4—41no—
914C2×D4—41no—
915C2×D4—41no—
916C2×D4—41no—
917C2×D4—41no—
918C2×D4—41no—
919C2×D4—41no—
920C2×D4—41no—
921C2×D4—41no—
922C2×D4—41no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—42no—
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—82no—
938C2×D4—82no—
939C2×D4—81no—
940C2×D4—81no—
941C2×D4—81no—
942C2×D4—81no—
943C2×D4—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
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×D4H(5,𝔽2)12yes—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—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—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—42no—
998C22×C4—42no—
999C22×C4—42no—
1000C22×C4—42no—
1001C22×C4—42no—
1002C22×C4—42no—
1003C22×C4—81no—
1004C22×C4—81no—
1005C22×C4—81no—
1006C22×C4—81no—
1007C22×C4—81no—
1008C22×C4—81no—
1009C22×C4—81no—
1010C22×C4—81no—
1011C22×C4—81no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4C22×D411yescharacteristic
1016C22×C4C22×D411yescharacteristic
1017C22×C4C22×D411yescharacteristic
1018C22×C4C22×D411yescharacteristic
1019C22×C4C22×D411yescharacteristic
1020C22×C4C22×D411yescharacteristic
1021C22×C4C22×D411yescharacteristic
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C2×#4112yes—
1026C22×C42−1+412yes—
1027C22×C4C2511yescharacteristic
1028SD16—28no—
1029SD16—44no—
1030D8—44no—
1031D8—44no—
1032M16—44no—
1033C2×C8—21no—
1034C2×C8—21no—
1035C2×C8—21no—
1036C2×C8—21no—
1037C2×C8—21no—
1038C2×C8—21no—
1039C2×C8—21no—
1040C2×C8—21no—
1041C2×C8—21no—
1042C2×C8—21no—
1043C2×C8—21no—
1044C2×C8—21no—
1045C2×C8—21no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—82no—
1056C2×C8—82no—
1057C2×C8C2×#4112yes—
1058C2×C8C2×#4112yes—
1059C4⋊C4—24no—
1060C4⋊C4—22no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—21no—
1064C4⋊C4—21no—
1065C4⋊C4—21no—
1066C4⋊C4—21no—
1067C4⋊C4—21no—
1068C4⋊C4—21no—
1069C4⋊C4—21no—
1070C4⋊C4—21no—
1071C4⋊C4—21no—
1072C4⋊C4—21no—
1073C4⋊C4—21no—
1074C4⋊C4—21no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—41no—
1084C4⋊C4—41no—
1085C4⋊C4—42no—
1086C4⋊C4—42no—
1087C4⋊C4—42no—
1088C4⋊C4—42no—
1089C4⋊C4—42no—
1090C4⋊C4—42no—
1091C4⋊C4—42no—
1092C4⋊C4—42no—
1093C4⋊C4—42no—
1094C4⋊C4—81no—
1095C4⋊C4—81no—
1096C4⋊C4—81no—
1097C4⋊C4—81no—
1098C4⋊C4—81no—
1099C4⋊C4—81no—
1100C4⋊C4—81no—
1101C4⋊C4H(5,𝔽2)12yes—
1102C4⋊C4H(5,𝔽2)12yes—
1103C22⋊C4—24no—
1104C22⋊C4—24no—
1105C22⋊C4—22no—
1106C22⋊C4—22no—
1107C22⋊C4—41no—
1108C22⋊C4—41no—
1109C22⋊C4—41no—
1110C22⋊C4—41no—
1111C22⋊C4—41no—
1112C22⋊C4—41no—
1113C22⋊C4—41no—
1114C22⋊C4—41no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—42no—
1125C22⋊C4—42no—
1126C22⋊C4—42no—
1127C22⋊C4—42no—
1128C22⋊C4—42no—
1129C22⋊C4—42no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C22⋊C4—81no—
1142C22⋊C4—81no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C42—21no—
1159C42—21no—
1160C42—21no—
1161C42—21no—
1162C42—21no—
1163C42—21no—
1164C42—42no—
1165C42—42no—
1166C42—42no—
1167C42—42no—
1168C42—42no—
1169C42—42no—
1170C42—81no—
1171C42—81no—
1172C42—81no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—22no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—84no—
1222C23—84no—
1223C23—162no—
1224C23—162no—
1225C23—162no—
1226C23—162no—
1227C23—162no—
1228C23#54712yes—
1229C23C23×D411yescharacteristic
1230Q8—22no—
1231Q8—22no—
1232Q8—41no—
1233Q8—41no—
1234Q8—82no—
1235Q8—162no—
1236D4—22no—
1237D4—22no—
1238D4—41no—
1239D4—41no—
1240D4—41no—
1241D4—41no—
1242D4—41no—
1243D4—41no—
1244D4—41no—
1245D4—41no—
1246D4—41no—
1247D4—41no—
1248D4—82no—
1249D4—84no—
1250D4—82no—
1251D4—82no—
1252D4—82no—
1253D4—84no—
1254D4—84no—
1255D4—82no—
1256D4—82no—
1257D4—162no—
1258D4—162no—
1259D4—162no—
1260D4—162no—
1261D4—162no—
1262D4—162no—
1263D4—162no—
1264D4—162no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
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—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—22no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
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—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—84no—
1350C2×C4—84no—
1351C2×C4—84no—
1352C2×C4—162no—
1353C2×C4—162no—
1354C2×C4—162no—
1355C2×C4#54712yes—
1356C2×C4C22×#4111yescharacteristic
1357C2×C4C2×H(5,𝔽2)11yescharacteristic
1358C2×C4C2×H(5,𝔽2)11yescharacteristic
1359C2×C4C2×H(5,𝔽2)11yescharacteristic
1360C2×C4C2×H(5,𝔽2)11yescharacteristic
1361C2×C4C2×2−1+411yescharacteristic
1362C8—22no—
1363C8—22no—
1364C8—41no—
1365C8—41no—
1366C8—41no—
1367C8—41no—
1368C8—41no—
1369C8—41no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—42no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—42no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—42no—
1399C22—41no—
1400C22—41no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—168no—
1420C22C2×#54711yescharacteristic
1421C22#348411yescharacteristic
1422C22#348411yescharacteristic
1423C22#358411yescharacteristic
1424C22#358411yescharacteristic
1425C22#358511yescharacteristic
1426C22#358511yescharacteristic
1427C4—22no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—42no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—42no—
1438C4—41no—
1439C4—42no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4—81no—
1449C4—81no—
1450C4#349011yescharacteristic
1451C4#350811yescharacteristic
1452C4#353611yescharacteristic
1453C4#353611yescharacteristic
1454C2—42no—
1455C2—81no—
1456C2—81no—
1457C2—81no—
1458C2—82no—
1459C2—161no—
1460C2—161no—
1461C2#4307911yescharacteristic
1462C2#6127411yescharacteristic
1463C2#6128311yescharacteristic
1464C2#6162811yescharacteristic
1465C2#6163811yescharacteristic
1466C2#6167311yescharacteristic
1467C2#6167811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45236C2semidirect
2. #44887C2semidirect
3. #32062C2semidirect
4. #32061C2semidirect
5. #31959C2semidirect
6. #31949C2semidirect
7. #31198C2semidirect
8. #31192C2semidirect
9. #30571C2semidirect
10. #30560C2semidirect
11. #28787C2semidirect
12. #26808C2semidirect
13. #26802C2semidirect
14. #26569C2semidirect
15. #26555C2semidirect
16. #25960C2semidirect
17. #25951C2semidirect
18. #25544C2semidirect
19. #25538C2semidirect
20. #24873C2semidirect
21. #24870C2semidirect
22. #24275C2semidirect
23. #24133C2semidirect
24. #24125C2semidirect
25. #24015C2semidirect
26. #24011C2semidirect
27. #23393C2semidirect
28. #22712C2semidirect
29. #22443C2semidirect
30. #22037C2semidirect
31. #21946C2semidirect
34. C2×#552C22semidirect
37. C2×#484C22semidirect
41. C2×#482C22semidirect
42. C2×#480C22semidirect
43. C2×#475C22semidirect
63. #2536C22semidirect
65. #2504C22semidirect
69. #2490C22semidirect
77. #2421C22semidirect
80. #2414C22semidirect
81. #2414C22semidirect
86. #2362C22semidirect
94. #2096C22semidirect
97. #2092C22semidirect
98. #2085C22semidirect
99. #2085C22semidirect
101. #2071C22semidirect
104. #2065C22semidirect
105. #2065C22semidirect
106. #2059C22semidirect
107. #2057C22semidirect
110. #2036C22semidirect
111. #2036C22semidirect
112. #2035C22semidirect
116. #2034C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
123. #2023C22semidirect
134. #1993C22semidirect
135. #1991C22semidirect
140. #1955C22semidirect
141. #1954C22semidirect
142. #1949C22semidirect
143. #1947C22semidirect
144. #1943C22semidirect
145. #1942C22semidirect
146. #1928C22semidirect
148. #1926C22semidirect
150. #1924C22semidirect
151. #1924C22semidirect
152. #1924C22semidirect
153. #1923C22semidirect
159. #1875C22semidirect
162. #1873C22semidirect
163. #1873C22semidirect
165. #1869C22semidirect
166. #1869C22semidirect
167. #1865C22semidirect
169. #1863C22semidirect
173. #1854C22semidirect
174. #1854C22semidirect
175. #1854C22semidirect
176. #1854C22semidirect
177. #1854C22semidirect
178. #1854C22semidirect
179. #1853C22semidirect
180. #1853C22semidirect
181. #1853C22semidirect
182. #1853C22semidirect
186. #1836C22semidirect
189. #1808C22semidirect
192. #1805C22semidirect
199. #1776C22semidirect
202. #1735C22semidirect

Maximal subgroups

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

subgroupindex
#452362
#448872
#320622
#320612
#319592
#319492
#311982
#311922
#305712
#305602
#287872
#268082
#268022
#265692
#265552
#259602
#259512
#255442
#255382
#248732
#248702
#242752
#241332
#241252
#240152
#240112
#233932
#227122
#224432
#220372
#219462