Finite Group Databasebeta

← #6908231

Subgroups — #6908231

Order 512.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37846C211yesmaximal, characteristic, complemented
2#37649C211yesmaximal, characteristic, complemented
3#32783C211yesmaximal, characteristic, complemented
4#32706C211yesmaximal, characteristic, complemented
5#32040C211yesmaximal, characteristic, complemented
6#32009C211yesmaximal, characteristic, complemented
7#31346C211yesmaximal, characteristic, complemented
8#31267C211yesmaximal, characteristic, complemented
9#30704C211yesmaximal, characteristic, complemented
10#30588C211yesmaximal, characteristic, complemented
11#30557C211yesmaximal, characteristic, complemented
12#30415C211yesmaximal, characteristic, complemented
13#30184C211yesmaximal, characteristic, complemented
14#30117C211yesmaximal, characteristic, complemented
15#29896C211yesmaximal, characteristic, complemented
16#29740C211yesmaximal, characteristic, complemented
17#29595C211yesmaximal, characteristic, complemented
18#29420C211yesmaximal, characteristic, complemented
19#26151C211yesmaximal, characteristic, complemented
20#26142C211yesmaximal, characteristic, complemented
21#25535C211yesmaximal, characteristic, complemented
22#24933C211yesmaximal, characteristic, complemented
23#24872C211yesmaximal, characteristic, complemented
24#24564C211yesmaximal, characteristic, complemented
25#24425C211yesmaximal, characteristic, complemented
26#24391C211yesmaximal, characteristic, complemented
27#24051C211yesmaximal, characteristic, complemented
28#24010C211yesmaximal, characteristic, complemented
29#23975C211yesmaximal, characteristic, complemented
30#23485C211yesmaximal, characteristic, complemented
31#21744C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#537C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C2×#484C2211yescharacteristic, complemented
38C2×#485C2211yescharacteristic
39C2×#485C2211yescharacteristic
40C2×#480C2211yescharacteristic
41C2×#468C2211yescharacteristic, complemented
42C2×#466C2211yescharacteristic, complemented
43C2×#465C2211yescharacteristic, complemented
44C2×#449C2211yescharacteristic, complemented
45C2×#448C2211yescharacteristic
46C2×#428C2211yescharacteristic, complemented
47C2×#417C2211yescharacteristic, complemented
48C2×#416C2211yescharacteristic, complemented
49C2×#408C2211yescharacteristic
50C2×#408C2211yescharacteristic
51#2847C2211yescharacteristic
52#2847C2211yescharacteristic
53#2699—21no—
54#2687—21no—
55#2683—21no—
56#2681—21no—
57#2678—21no—
58#2678—21no—
59#2676—21no—
60#2672—21no—
61#2629C2211yescharacteristic
62#2620C2211yescharacteristic
63#2616C2211yescharacteristic
64#2615C2211yescharacteristic
65#2562C2211yescharacteristic
66#2560—21no—
67#2554—21no—
68#2540C2211yescharacteristic
69#2538C2211yescharacteristic
70#2537C2211yescharacteristic
71#2486C2211yescharacteristic
72#2485C2211yescharacteristic
73#2464—21no—
74#2457—21no—
75#2449—21no—
76#2424—21no—
77#2424—21no—
78#2417C2211yescharacteristic
79#2416—21no—
80#2416C2211yescharacteristic
81#2414C2211yescharacteristic
82#2414C2211yescharacteristic
83#2409C2211yescharacteristic
84#2407C2211yescharacteristic
85#2354C2211yescharacteristic
86D4×C4⋊C4C2211yescharacteristic
87#2324C2211yescharacteristic
88#2323C2211yescharacteristic
89#2311C2211yescharacteristic
90#2280C2211yescharacteristic
91#2099C2211yescharacteristic, complemented
92#2095C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2093C2211yescharacteristic, complemented
95#2083C2211yescharacteristic, complemented
96#2083C2211yescharacteristic, complemented
97#2083C2211yescharacteristic, complemented
98#2077C2211yescharacteristic
99#2077C2211yescharacteristic
100#2077C2211yescharacteristic, complemented
101#2076C2211yescharacteristic
102#2075C2211yescharacteristic
103#2075C2211yescharacteristic
104#2075C2211yescharacteristic
105#2075C2211yescharacteristic
106#2072C2211yescharacteristic, complemented
107#2059C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2042C2211yescharacteristic, complemented
111#2036C2211yescharacteristic
112#2036C2211yescharacteristic
113#2036C2211yescharacteristic
114#2036C2211yescharacteristic
115#2036C2211yescharacteristic
116#2036C2211yescharacteristic
117#2036C2211yescharacteristic, complemented
118#2036C2211yescharacteristic, complemented
119#2035C2211yescharacteristic
120#2035C2211yescharacteristic
121#2035C2211yescharacteristic, complemented
122#2034C2211yescharacteristic
123#2034C2211yescharacteristic
124#2034C2211yescharacteristic, complemented
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2033C2211yescharacteristic
128#2033C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2026C2211yescharacteristic, complemented
136#2026C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1928C2211yescharacteristic, complemented
148#1927C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1926C2211yescharacteristic, complemented
151#1921C2211yescharacteristic, complemented
152#1920C2211yescharacteristic, complemented
153#1918C2211yescharacteristic, complemented
154#1918C2211yescharacteristic, complemented
155#1895C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1894C2211yescharacteristic, complemented
158#1894C2211yescharacteristic, complemented
159#1892C2211yescharacteristic, complemented
160#1892C2211yescharacteristic, complemented
161#1880C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1877C2211yescharacteristic, complemented
164#1877C2211yescharacteristic, complemented
165#1875C2211yescharacteristic
166#1875C2211yescharacteristic
167#1874C2211yescharacteristic, complemented
168#1873C2211yescharacteristic
169#1873C2211yescharacteristic
170#1873C2211yescharacteristic, complemented
171#1870C2211yescharacteristic
172#1870C2211yescharacteristic
173#1870C2211yescharacteristic
174#1870C2211yescharacteristic
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic
177#1869C2211yescharacteristic
178#1869C2211yescharacteristic
179#1865C2211yescharacteristic, complemented
180#1863C2211yescharacteristic, complemented
181#1863C2211yescharacteristic, complemented
182#1862C2211yescharacteristic, complemented
183#1854C2211yescharacteristic
184#1854C2211yescharacteristic
185#1854C2211yescharacteristic, complemented
186#1853C2211yescharacteristic
187#1852C2211yescharacteristic
188#1852C2211yescharacteristic, complemented
189#1823C2211yescharacteristic
190#1823C2211yescharacteristic, complemented
191#1818C2211yescharacteristic
192#1818C2211yescharacteristic
193#1809C2211yescharacteristic, complemented
194#1808C2211yescharacteristic, complemented
195#1808C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic
198#1787C2211yescharacteristic
199#1787C2211yescharacteristic
200#1779C2211yescharacteristic
201#1779C2211yescharacteristic
202C2×#340C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C22×M16C2311yescharacteristic
212C23×C8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214#553—42no—
215#553—42no—
216#548—42no—
217#548—42no—
218#537—42no—
219#537—42no—
220C2×#126—21no—
221C2×#125C2311yescharacteristic
222C2×#124—21no—
223C2×#124C2311yescharacteristic
224#525—42no—
225#525—42no—
226C2×#123—21no—
227C2×#123—21no—
228C2×#123D411yescharacteristic
229C2×#123D411yescharacteristic
230C2×C22⋊Q8—21no—
231C2×C22⋊Q8—21no—
232C2×C22⋊Q8—21no—
233C2×C22⋊Q8—21no—
234C2×C22⋊Q8—42no—
235C2×C22⋊Q8—42no—
236C2×C22⋊Q8D411yescharacteristic
237C2×C22⋊Q8D411yescharacteristic
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121D411yescharacteristic
253C2×#121D411yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#120—21no—
264C2×#120—21no—
265C2×#120D411yescharacteristic
266C2×#120D411yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—21no—
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×#117C2311yescharacteristic
277C2×#117C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C2×#117C2311yescharacteristic
280C22×C4⋊C4—21no—
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C22⋊C4—21no—
285#485—42no—
286#485—42no—
287#484—42no—
288#480—42no—
289#468—42no—
290#466—42no—
291#465—42no—
292#449—42no—
293#448—42no—
294#428—42no—
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#107C2311yescharacteristic
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#106C2311yescharacteristic
305C2×#106C2311yescharacteristic
306C2×#106C2311yescharacteristic
307C2×#106C2311yescharacteristic
308#417—42no—
309#416—42no—
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336#408—42no—
337#408—42no—
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×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354#400—21no—
355#399—21no—
356#398—21no—
357#398—21no—
358#398—21no—
359#398—21no—
360#397—21no—
361#397—21no—
362#396—21no—
363#396—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#395—21no—
371#395—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#392—21no—
394#391—21no—
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390—21no—
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#389—21no—
408#389—21no—
409#389—21no—
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#387—21no—
425#387—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#384C2311yescharacteristic
445#384C2311yescharacteristic
446#381—21no—
447#381—21no—
448#380—21no—
449#380—21no—
450#380C2311yescharacteristic
451#380C2311yescharacteristic
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#380C2311yescharacteristic
466#379—21no—
467C4×C4⋊C4—21no—
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472#340C2311yescharacteristic
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25C2×D411yescharacteristic
503C2×#41—22no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C22×Q8—21no—
516C22×Q8—22no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8C2×D411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
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—21no—
534C22×D4—21no—
535C22×D4C2×D411yescharacteristic
536C22×D4C2×D411yescharacteristic
537C22×D4C2×D411yescharacteristic
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2×D411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C23×C4—21no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4C2×D411yescharacteristic
557C23×C4C2×D411yescharacteristic
558C23×C4C2×D411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C2×SD16—22no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×M16—22no—
574C2×M16—41no—
575C2×M16—41no—
576C2×M16—41no—
577C2×M16—41no—
578C2×M16—41no—
579C22×C8—22no—
580C22×C8—41no—
581C22×C8—41no—
582C22×C8—41no—
583C22×C8—41no—
584C22×C8—41no—
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C22×C8C2411yescharacteristic
593#126—44no—
594#125—41no—
595#125—41no—
596#124—41no—
597#124—41no—
598#124—44no—
599#123—42no—
600#123—44no—
601#123—42no—
602#123—82no—
603C22⋊Q8—22no—
604C22⋊Q8—22no—
605C22⋊Q8—22no—
606C22⋊Q8—22no—
607C22⋊Q8—22no—
608C22⋊Q8—22no—
609C22⋊Q8—22no—
610C22⋊Q8—42no—
611C22⋊Q8—42no—
612C22⋊Q8—44no—
613C22⋊Q8—41no—
614C22⋊Q8—41no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617C22⋊Q8—41no—
618C22⋊Q8—44no—
619C22⋊Q8—44no—
620C22⋊Q8—44no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623#121—22no—
624#121—22no—
625#121—22no—
626#121—42no—
627#121—42no—
628#121—44no—
629#121—44no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—44no—
640#121—44no—
641#121—44no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—82no—
649#121—82no—
650#120—42no—
651#120—42no—
652#120—82no—
653#120—82no—
654C4×Q8—41no—
655C4×Q8—41no—
656C4×D4—22no—
657C4×D4—22no—
658C4×D4—22no—
659C4×D4—22no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—44no—
667C4×D4—44no—
668C4×D4—82no—
669#117—41no—
670#117—41no—
671#117—41no—
672#117—41no—
673#117—41no—
674#117—41no—
675#117—41no—
676#117—41no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—22no—
679C2×C4⋊C4—22no—
680C2×C4⋊C4—22no—
681C2×C4⋊C4—22no—
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—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—44no—
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
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—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—44no—
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42—21no—
781C2×C42—21no—
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784#107—22no—
785#107—22no—
786#107—41no—
787#107—41no—
788#107—41no—
789#107—41no—
790#107—41no—
791#107—41no—
792#107—41no—
793#106—22no—
794#106—41no—
795#106—41no—
796#106—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#103—41no—
808#103—41no—
809#103—41no—
810#103—41no—
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#102—41no—
823C22⋊C8—22no—
824C22⋊C8—22no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837C22⋊C8—41no—
838C22⋊C8—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#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865C24—22no—
866C24—21no—
867C24—21no—
868C24—41no—
869C24—41no—
870C24—41no—
871C24—41no—
872C24—41no—
873C24—41no—
874C24C22×D411yescharacteristic
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878C24C22×D411yescharacteristic
879#41—44no—
880#41—44no—
881#41—82no—
882#41—82no—
883#41—82no—
884#41—82no—
885#41—82no—
886#41—82no—
887C2×Q8—22no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—41no—
900C2×Q8—41no—
901C2×Q8—42no—
902C2×Q8—42no—
903C2×Q8—81no—
904C2×Q8—82no—
905C2×Q8—82no—
906C2×Q8—82no—
907C2×Q8—82no—
908C2×Q8H(5,𝔽2)12yes—
909C2×D4—22no—
910C2×D4—22no—
911C2×D4—22no—
912C2×D4—22no—
913C2×D4—22no—
914C2×D4—22no—
915C2×D4—22no—
916C2×D4—21no—
917C2×D4—21no—
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—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
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—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—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
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—21no—
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—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—82no—
1036C22×C4—82no—
1037C22×C4—82no—
1038C22×C4—82no—
1039C22×C4—81no—
1040C22×C4—81no—
1041C22×C4—81no—
1042C22×C4—81no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4H(5,𝔽2)12yes—
1055C22×C4H(5,𝔽2)12yes—
1056C22×C4C2511yescharacteristic
1057SD16—82no—
1058SD16—82no—
1059D8—82no—
1060M16—44no—
1061M16—82no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
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—82no—
1087C2×C8—82no—
1088C4⋊C4—24no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
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—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C4⋊C4—81no—
1136C4⋊C4—81no—
1137C4⋊C4—81no—
1138C4⋊C4H(5,𝔽2)12yes—
1139C22⋊C4—24no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
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—81no—
1169C22⋊C4—81no—
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—
1190C22⋊C4—81no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—42no—
1196C42—42no—
1197C42—81no—
1198C42—81no—
1199C42—81no—
1200C42—81no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
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—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—44no—
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—82no—
1250C23—82no—
1251C23—82no—
1252C23—82no—
1253C23—82no—
1254C23—82no—
1255C23#53412yes—
1256C23#57612yes—
1257C23C23×D411yescharacteristic
1258Q8—22no—
1259Q8—22no—
1260Q8—41no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—82no—
1267Q8—84no—
1268D4—44no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—82no—
1278D4—82no—
1279D4—82no—
1280D4—82no—
1281D4—82no—
1282D4—84no—
1283D4—82no—
1284D4—84no—
1285D4—84no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
1291D4—162no—
1292D4—162no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—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—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—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—84no—
1382C2×C4—82no—
1383C2×C4—82no—
1384C2×C4—82no—
1385C2×C4—84no—
1386C2×C4—84no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4—162no—
1390C2×C4#53412yes—
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4C2×H(5,𝔽2)11yescharacteristic
1394C2×C4C2×H(5,𝔽2)11yescharacteristic
1395C2×C4#58511yescharacteristic
1396C2×C4#58511yescharacteristic
1397C8—41no—
1398C8—41no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—88no—
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—
1455C22C2×#53411yescharacteristic
1456C22#348411yescharacteristic
1457C22#348511yescharacteristic
1458C22C2×#57611yescharacteristic
1459C22#358411yescharacteristic
1460C22#358611yescharacteristic
1461C22#358611yescharacteristic
1462C4—22no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—42no—
1472C4—42no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4#353411yescharacteristic
1486C4#353411yescharacteristic
1487C4#354211yescharacteristic
1488C4#355811yescharacteristic
1489C2—42no—
1490C2—42no—
1491C2—81no—
1492C2—81no—
1493C2—81no—
1494C2—161no—
1495C2—161no—
1496C2#4058511yescharacteristic
1497C2#6076111yescharacteristic
1498C2#6076211yescharacteristic
1499C2#6163911yescharacteristic
1500C2#6164511yescharacteristic
1501C2#6175011yescharacteristic
1502C2#6175911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #37846C2semidirect
2. #37649C2semidirect
3. #32783C2semidirect
4. #32706C2semidirect
5. #32040C2semidirect
6. #32009C2semidirect
7. #31346C2semidirect
8. #31267C2semidirect
9. #30704C2semidirect
10. #30588C2semidirect
11. #30557C2semidirect
12. #30415C2semidirect
13. #30184C2semidirect
14. #30117C2semidirect
15. #29896C2semidirect
16. #29740C2semidirect
17. #29595C2semidirect
18. #29420C2semidirect
19. #26151C2semidirect
20. #26142C2semidirect
21. #25535C2semidirect
22. #24933C2semidirect
23. #24872C2semidirect
24. #24564C2semidirect
25. #24425C2semidirect
26. #24391C2semidirect
27. #24051C2semidirect
28. #24010C2semidirect
29. #23975C2semidirect
30. #23485C2semidirect
31. #21744C2semidirect
37. C2×#484C22semidirect
41. C2×#468C22semidirect
42. C2×#466C22semidirect
43. C2×#465C22semidirect
44. C2×#449C22semidirect
46. C2×#428C22semidirect
47. C2×#417C22semidirect
48. C2×#416C22semidirect
91. #2099C22semidirect
92. #2095C22semidirect
93. #2094C22semidirect
94. #2093C22semidirect
95. #2083C22semidirect
96. #2083C22semidirect
97. #2083C22semidirect
100. #2077C22semidirect
106. #2072C22semidirect
107. #2059C22semidirect
108. #2042C22semidirect
109. #2042C22semidirect
110. #2042C22semidirect
117. #2036C22semidirect
118. #2036C22semidirect
121. #2035C22semidirect
124. #2034C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2026C22semidirect
136. #2026C22semidirect
137. #2025C22semidirect
138. #2012C22semidirect
143. #2000C22semidirect
147. #1928C22semidirect
148. #1927C22semidirect
149. #1926C22semidirect
150. #1926C22semidirect
151. #1921C22semidirect
152. #1920C22semidirect
153. #1918C22semidirect
154. #1918C22semidirect
155. #1895C22semidirect
156. #1895C22semidirect
157. #1894C22semidirect
158. #1894C22semidirect
159. #1892C22semidirect
160. #1892C22semidirect
161. #1880C22semidirect
162. #1879C22semidirect
163. #1877C22semidirect
164. #1877C22semidirect
167. #1874C22semidirect
170. #1873C22semidirect
179. #1865C22semidirect
180. #1863C22semidirect
181. #1863C22semidirect
182. #1862C22semidirect
185. #1854C22semidirect
188. #1852C22semidirect
190. #1823C22semidirect
193. #1809C22semidirect
194. #1808C22semidirect
195. #1808C22semidirect
196. #1788C22semidirect
202. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
#378462
#376492
#327832
#327062
#320402
#320092
#313462
#312672
#307042
#305882
#305572
#304152
#301842
#301172
#298962
#297402
#295952
#294202
#261512
#261422
#255352
#249332
#248722
#245642
#244252
#243912
#240512
#240102
#239752
#234852
#217442