Finite Group Databasebeta

← #7043788

Subgroups — #7043788

Order 512.

1909 conjugacy classes of subgroups.

The subgroup lattice has 1457 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59408C211yesmaximal, characteristic, complemented
2#59304C211yesmaximal, characteristic, complemented
3#32207C211yesmaximal, characteristic, complemented
4#32072C211yesmaximal, characteristic, complemented
5#31834C211yesmaximal, characteristic, complemented
6#31574C211yesmaximal, characteristic, complemented
7#31514C211yesmaximal, characteristic, complemented
8#31474C211yesmaximal, characteristic, complemented
9#31391C211yesmaximal, characteristic, complemented
10#30412C211yesmaximal, characteristic, complemented
11#28117C211yesmaximal, characteristic, complemented
12#27678C211yesmaximal, characteristic, complemented
13#27539C211yesmaximal, characteristic, complemented
14#27427C211yesmaximal, characteristic, complemented
15#27211C211yesmaximal, characteristic, complemented
16#27039C211yesmaximal, characteristic, complemented
17#26214C211yesmaximal, characteristic, complemented
18#25537C211yesmaximal, characteristic, complemented
19#25238C211yesmaximal, characteristic, complemented
20#25221C211yesmaximal, characteristic, complemented
21#25124C211yesmaximal, characteristic, complemented
22#24935C211yesmaximal, characteristic, complemented
23#24865C211yesmaximal, characteristic, complemented
24#24865C211yesmaximal, characteristic, complemented
25#24526C211yesmaximal, characteristic, complemented
26#24424C211yesmaximal, characteristic, complemented
27C2×#2071C211yesmaximal, characteristic, complemented
28#22493C211yesmaximal, characteristic, complemented
29D4×#102C211yesmaximal, characteristic, complemented
30#22184C211yesmaximal, characteristic, complemented
31#22172C211yesmaximal, characteristic, complemented
32C2×#553—21no—
33C2×#553C2211yescharacteristic
34C2×D42C2211yescharacteristic
35C2×#481C2211yescharacteristic
36C2×#481C2211yescharacteristic, complemented
37C2×#469C2211yescharacteristic
38C2×#466C2211yescharacteristic
39C2×#447C2211yescharacteristic
40C2×#447C2211yescharacteristic
41C2×#435C2211yescharacteristic, complemented
42C2×C8×D4C2211yescharacteristic
43C22×#102C2211yescharacteristic
44C22×#102C2211yescharacteristic
45C22×#102C2211yescharacteristic
46#2718—21no—
47#2718—21no—
48#2703—21no—
49#2685—21no—
50#2559—21no—
51#2552C2211yescharacteristic, complemented
52#2539—21no—
53#2537C2211yescharacteristic, complemented
54#2501C2211yescharacteristic, complemented
55#2501C2211yescharacteristic, complemented
56#2496C2211yescharacteristic, complemented
57#2496C2211yescharacteristic, complemented
58#2490C2211yescharacteristic
59#2487—21no—
60#2487C2211yescharacteristic
61#2454C2211yescharacteristic
62#2445C2211yescharacteristic
63#2443—21no—
64#2443—21no—
65#2441—21no—
66#2428C2211yescharacteristic
67#2424—21no—
68#2422—21no—
69#2418—21no—
70#2416C2211yescharacteristic
71#2416C2211yescharacteristic, complemented
72#2414C2211yescharacteristic
73#2410—21no—
74#2408C2211yescharacteristic
75#2408C2211yescharacteristic
76#2363C2211yescharacteristic
77#2354C2211yescharacteristic, complemented
78D4×C4⋊C4C2211yescharacteristic
79D4×C4⋊C4C2211yescharacteristic, complemented
80D4×C4⋊C4C2211yescharacteristic, complemented
81D4×C22⋊C4—21no—
82D4×C22⋊C4C2211yescharacteristic
83C4×#121C2211yescharacteristic
84C4×#121C2211yescharacteristic
85C4×#121C2211yescharacteristic, complemented
86C2×#390C2211yescharacteristic
87C2×#384C2211yescharacteristic, complemented
88#2100C2211yescharacteristic, complemented
89#2100C2211yescharacteristic, complemented
90#2099C2211yescharacteristic, complemented
91#2094C2211yescharacteristic, complemented
92#2094C2211yescharacteristic, complemented
93#2094C2211yescharacteristic, complemented
94#2088C2211yescharacteristic, complemented
95#2084C2211yescharacteristic, complemented
96#2077C2211yescharacteristic, complemented
97#2077C2211yescharacteristic, complemented
98#2077C2211yescharacteristic, complemented
99#2071C2211yescharacteristic
100#2071C2211yescharacteristic
101#2071C2211yescharacteristic
102#2071C2211yescharacteristic
103#2071C2211yescharacteristic
104#2071C2211yescharacteristic, complemented
105#2071C2211yescharacteristic, complemented
106#2071C2211yescharacteristic, complemented
107#2071C2211yescharacteristic, complemented
108#2065C2211yescharacteristic
109#2065C2211yescharacteristic, complemented
110#2065C2211yescharacteristic, complemented
111#2065C2211yescharacteristic, complemented
112#2059C2211yescharacteristic, complemented
113#2054C2211yescharacteristic
114#2054C2211yescharacteristic
115#2054C2211yescharacteristic, complemented
116#2041C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2033C2211yescharacteristic
123#2025C2211yescharacteristic, complemented
124#2011C2211yescharacteristic
125#1999C2211yescharacteristic
126#1999C2211yescharacteristic, complemented
127#1999C2211yescharacteristic, complemented
128#1992C2211yescharacteristic, complemented
129#1989C2211yescharacteristic, complemented
130#1982C2211yescharacteristic
131#1972C2211yescharacteristic, complemented
132#1957C2211yescharacteristic
133#1948C2211yescharacteristic, complemented
134#1948C2211yescharacteristic, complemented
135#1941C2211yescharacteristic, complemented
136#1936C2211yescharacteristic
137#1934C2211yescharacteristic, complemented
138#1926C2211yescharacteristic
139#1926C2211yescharacteristic
140#1926C2211yescharacteristic, complemented
141#1926C2211yescharacteristic, complemented
142#1926C2211yescharacteristic, complemented
143#1926C2211yescharacteristic, complemented
144#1924C2211yescharacteristic, complemented
145#1923C2211yescharacteristic, complemented
146#1921C2211yescharacteristic, complemented
147#1921C2211yescharacteristic, complemented
148#1920C2211yescharacteristic, complemented
149#1920C2211yescharacteristic, complemented
150#1917C2211yescharacteristic, complemented
151#1916C2211yescharacteristic, complemented
152#1895C2211yescharacteristic, complemented
153#1895C2211yescharacteristic, complemented
154#1893C2211yescharacteristic
155#1893C2211yescharacteristic
156#1893C2211yescharacteristic, complemented
157#1893C2211yescharacteristic, complemented
158#1879C2211yescharacteristic
159#1879C2211yescharacteristic
160#1879C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1879C2211yescharacteristic, complemented
163#1879C2211yescharacteristic, complemented
164#1875C2211yescharacteristic, complemented
165#1874C2211yescharacteristic
166#1874C2211yescharacteristic
167#1874C2211yescharacteristic
168#1874C2211yescharacteristic, complemented
169#1874C2211yescharacteristic, complemented
170#1870C2211yescharacteristic, complemented
171#1869C2211yescharacteristic
172#1869C2211yescharacteristic, complemented
173#1869C2211yescharacteristic, complemented
174#1864C2211yescharacteristic, complemented
175#1864C2211yescharacteristic, complemented
176#1864C2211yescharacteristic, complemented
177#1862C2211yescharacteristic
178#1854C2211yescharacteristic, complemented
179#1853C2211yescharacteristic, complemented
180#1853C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1851C2211yescharacteristic, complemented
183#1850C2211yescharacteristic, complemented
184#1825C2211yescharacteristic, complemented
185#1824C2211yescharacteristic, complemented
186#1823C2211yescharacteristic, complemented
187#1807C2211yescharacteristic, complemented
188#1807C2211yescharacteristic, complemented
189#1802C2211yescharacteristic
190#1802C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1802C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1762C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic
199#1736C2211yescharacteristic, complemented
200C2×#340C2211yescharacteristic, complemented
201C2×#340C2211yescharacteristic, complemented
202C2×#336C2211yescharacteristic, complemented
203C23×D4—21no—
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×D8C2311yescharacteristic
207C22×D8C2311yescharacteristic
208C22×D8C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C23×C8C2311yescharacteristic
211C23×C8C2311yescharacteristic
212C23×C8C2311yescharacteristic
213#553—24no—
214#553—42no—
215#553—48no—
216D42—24no—
217D42—42no—
218C2×#127C2311yescharacteristic
219C2×#126—21no—
220C2×#126—21no—
221C2×#126—21no—
222C2×#125—21no—
223C2×#125C2311yescharacteristic
224C2×#123—21no—
225C2×#123—21no—
226C2×#123—21no—
227C2×#123—21no—
228C2×#123—21no—
229C2×#123—21no—
230C2×#121—21no—
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121D411yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#121C2311yescharacteristic
239C2×#121C2311yescharacteristic
240C2×#121C2311yescharacteristic
241C2×#121C2311yescharacteristic
242C2×#121C2311yescharacteristic
243C2×#121C2311yescharacteristic
244C2×#121C2311yescharacteristic
245C2×#120—21no—
246C2×#120—21no—
247C2×#120—21no—
248C2×#120—21no—
249C2×C4×D4—21no—
250C2×C4×D4—21no—
251C2×C4×D4—21no—
252C2×C4×D4—21no—
253C2×C4×D4—21no—
254C2×C4×D4—21no—
255C2×C4×D4C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×C4×D4C2311yescharacteristic
258C2×C4×D4C2311yescharacteristic
259C2×C4×D4C2311yescharacteristic
260C2×C4×D4C2311yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×#117—21no—
263C2×#117C2311yescharacteristic
264C22×C4⋊C4—21no—
265C22×C4⋊C4—21no—
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C22⋊C4—21no—
272C22×C22⋊C4—21no—
273C22×C22⋊C4—21no—
274C22×C42C2311yescharacteristic
275#481—42no—
276#481—42no—
277#469—42no—
278#466—24no—
279#447—42no—
280#447—42no—
281#435—42no—
282C8×D4—42no—
283C2×#107C2311yescharacteristic
284C2×#106C2311yescharacteristic
285C2×#106C2311yescharacteristic
286C2×#106C2311yescharacteristic
287C2×#106C2311yescharacteristic
288C2×#106C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×C4⋊C8C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×#102—42no—
297C2×#102—42no—
298C2×#102—42no—
299C2×#102C2311yescharacteristic
300C2×#102C2311yescharacteristic
301C2×#102C2311yescharacteristic
302C2×#102C2311yescharacteristic
303C2×#102C2311yescharacteristic
304C2×#102C2311yescharacteristic
305C2×#102C2311yescharacteristic
306C2×#102C2311yescharacteristic
307C2×#102C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×C22⋊C8C2311yescharacteristic
328C2×C22⋊C8C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×#97C2311yescharacteristic
334C2×C4×C8C2311yescharacteristic
335#400—21no—
336#400—21no—
337#400—21no—
338#399—21no—
339#399—21no—
340#399—21no—
341#399—21no—
342#399—21no—
343#399—21no—
344#398—21no—
345#398—21no—
346#397—21no—
347#397—21no—
348#397—21no—
349#396—21no—
350#396—21no—
351#396—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#394—21no—
356#394—21no—
357#394—21no—
358#394—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#392—21no—
364#392—21no—
365#392—21no—
366#392—21no—
367#390—21no—
368#390—21no—
369#390—21no—
370#390—21no—
371#390—21no—
372#390D411yescharacteristic
373#390C2311yescharacteristic
374#390C2311yescharacteristic
375#390C2311yescharacteristic
376#390C2311yescharacteristic
377#390C2311yescharacteristic
378#390C2311yescharacteristic
379#390C2311yescharacteristic
380#390C2311yescharacteristic
381#390C2311yescharacteristic
382#390C2311yescharacteristic
383#389—21no—
384#389—21no—
385#389—21no—
386#389—21no—
387#389D411yescharacteristic
388#389C2311yescharacteristic
389#389C2311yescharacteristic
390#389C2311yescharacteristic
391#389C2311yescharacteristic
392#389C2311yescharacteristic
393#389C2311yescharacteristic
394#388—21no—
395#388—21no—
396#388—21no—
397#388—21no—
398#388—21no—
399#388—21no—
400#388—21no—
401#388D411yescharacteristic
402#388D411yescharacteristic
403#387—21no—
404#387—21no—
405#386—21no—
406#386—21no—
407#386—21no—
408#386—21no—
409#386—21no—
410#386—21no—
411#386—21no—
412#386—21no—
413#386—21no—
414#386—21no—
415#386D411yescharacteristic
416#386D411yescharacteristic
417#385—21no—
418#385—21no—
419#385—21no—
420#385—21no—
421#385—21no—
422#385—21no—
423#385—21no—
424#385—21no—
425#384—21no—
426#384—21no—
427#384C2311yescharacteristic
428#384C2311yescharacteristic
429#384C2311yescharacteristic
430#384C2311yescharacteristic
431#384C2311yescharacteristic
432#384C2311yescharacteristic
433#380—21no—
434#380—21no—
435#380—21no—
436#380D411yescharacteristic
437#380C2311yescharacteristic
438#380C2311yescharacteristic
439#380C2311yescharacteristic
440#380C2311yescharacteristic
441#380C2311yescharacteristic
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#379—21no—
446#379—21no—
447#379—21no—
448C4×C4⋊C4C2311yescharacteristic
449C4×C4⋊C4C2311yescharacteristic
450C4×C4⋊C4C2311yescharacteristic
451C4×C4⋊C4C2311yescharacteristic
452C4×C4⋊C4C2311yescharacteristic
453C4×C22⋊C4—21no—
454C4×C22⋊C4—21no—
455C4×C22⋊C4—21no—
456C4×C22⋊C4C2311yescharacteristic
457C4×C22⋊C4C2311yescharacteristic
458#340C2311yescharacteristic
459#340C2311yescharacteristic
460#340C2311yescharacteristic
461#340C2311yescharacteristic
462#340C2311yescharacteristic
463#340C2311yescharacteristic
464#340C2311yescharacteristic
465#340C2311yescharacteristic
466#340C2311yescharacteristic
467#340C2311yescharacteristic
468#340C2311yescharacteristic
469#340C2311yescharacteristic
470#340C2311yescharacteristic
471#340C2311yescharacteristic
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#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494C25—21no—
495C25—21no—
496C22×D4—21no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—21no—
501C22×D4—21no—
502C22×D4—21no—
503C22×D4—21no—
504C22×D4—21no—
505C22×D4—21no—
506C22×D4—21no—
507C22×D4—21no—
508C22×D4—21no—
509C22×D4—21no—
510C22×D4—21no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—44no—
521C22×D4—44no—
522C22×D4—82no—
523C22×D4C2×D411yescharacteristic
524C22×D4C2×D411yescharacteristic
525C22×D4C2×D411yescharacteristic
526C22×D4C2411yescharacteristic
527C22×D4C2411yescharacteristic
528C22×D4C2411yescharacteristic
529C22×D4C2411yescharacteristic
530C23×C4—21no—
531C23×C4—21no—
532C23×C4—21no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4C2×D411yescharacteristic
540C23×C4C2×D411yescharacteristic
541C23×C4C2411yescharacteristic
542C23×C4C2411yescharacteristic
543C23×C4C2411yescharacteristic
544C2×D8—22no—
545C2×D8—22no—
546C2×D8—41no—
547C2×D8—41no—
548C2×D8—41no—
549C2×D8—41no—
550C2×D8—41no—
551C2×D8—41no—
552C2×D8—41no—
553C2×M16—41no—
554C2×M16—41no—
555C2×M16—41no—
556C22×C8—22no—
557C22×C8—22no—
558C22×C8—41no—
559C22×C8—41no—
560C22×C8—41no—
561C22×C8—41no—
562C22×C8—41no—
563C22×C8—41no—
564C22×C8—41no—
565C22×C8C2411yescharacteristic
566C22×C8C2411yescharacteristic
567C22×C8C2411yescharacteristic
568C22×C8C2411yescharacteristic
569C22×C8C2411yescharacteristic
570C22×C8C2411yescharacteristic
571C22×C8C2411yescharacteristic
572C22×C8C2411yescharacteristic
573#127—22no—
574#127—41no—
575#126—44no—
576#126—44no—
577#126—44no—
578#125—22no—
579#125—41no—
580#125—44no—
581#123—44no—
582#123—44no—
583#123—44no—
584#123—82no—
585#123—82no—
586#123—82no—
587#121—24no—
588#121—22no—
589#121—22no—
590#121—22no—
591#121—22no—
592#121—22no—
593#121—22no—
594#121—44no—
595#121—41no—
596#121—41no—
597#121—41no—
598#121—44no—
599#121—44no—
600#121—44no—
601#121—44no—
602#121—41no—
603#121—41no—
604#121—41no—
605#121—41no—
606#121—41no—
607#121—41no—
608#121—82no—
609#121#4114yes—
610#120—44no—
611#120—44no—
612#120—82no—
613#120—82no—
614C4×D4—22no—
615C4×D4—22no—
616C4×D4—22no—
617C4×D4—22no—
618C4×D4—22no—
619C4×D4—22no—
620C4×D4—41no—
621C4×D4—41no—
622C4×D4—41no—
623C4×D4—41no—
624C4×D4—41no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628C4×D4—44no—
629C4×D4—44no—
630C4×D4—44no—
631C4×D4—44no—
632C4×D4—44no—
633C4×D4—82no—
634#117—22no—
635#117—41no—
636#117—44no—
637C2×C4⋊C4—22no—
638C2×C4⋊C4—22no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4—21no—
641C2×C4⋊C4—21no—
642C2×C4⋊C4—21no—
643C2×C4⋊C4—21no—
644C2×C4⋊C4—21no—
645C2×C4⋊C4—21no—
646C2×C4⋊C4—21no—
647C2×C4⋊C4—21no—
648C2×C4⋊C4—21no—
649C2×C4⋊C4—21no—
650C2×C4⋊C4—21no—
651C2×C4⋊C4—21no—
652C2×C4⋊C4—21no—
653C2×C4⋊C4—21no—
654C2×C4⋊C4—21no—
655C2×C4⋊C4—21no—
656C2×C4⋊C4—21no—
657C2×C4⋊C4—21no—
658C2×C4⋊C4—21no—
659C2×C4⋊C4—21no—
660C2×C4⋊C4—21no—
661C2×C4⋊C4—21no—
662C2×C4⋊C4—21no—
663C2×C4⋊C4—21no—
664C2×C4⋊C4—41no—
665C2×C4⋊C4—41no—
666C2×C4⋊C4—41no—
667C2×C4⋊C4—41no—
668C2×C4⋊C4—41no—
669C2×C4⋊C4—41no—
670C2×C4⋊C4—41no—
671C2×C4⋊C4—41no—
672C2×C4⋊C4—44no—
673C2×C4⋊C4—82no—
674C2×C4⋊C4C2×D411yescharacteristic
675C2×C4⋊C4C2×D411yescharacteristic
676C2×C4⋊C4C2×D411yescharacteristic
677C2×C4⋊C4C2×D411yescharacteristic
678C2×C4⋊C4C2×D411yescharacteristic
679C2×C4⋊C4C2411yescharacteristic
680C2×C4⋊C4C2411yescharacteristic
681C2×C4⋊C4C2411yescharacteristic
682C2×C4⋊C4C2411yescharacteristic
683C2×C4⋊C4C2411yescharacteristic
684C2×C4⋊C4C2411yescharacteristic
685C2×C4⋊C4C2411yescharacteristic
686C2×C4⋊C4C2411yescharacteristic
687C2×C4⋊C4C2411yescharacteristic
688C2×C4⋊C4C2411yescharacteristic
689C2×C4⋊C4C2411yescharacteristic
690C2×C4⋊C4C2411yescharacteristic
691C2×C22⋊C4—21no—
692C2×C22⋊C4—21no—
693C2×C22⋊C4—21no—
694C2×C22⋊C4—21no—
695C2×C22⋊C4—21no—
696C2×C22⋊C4—21no—
697C2×C22⋊C4—21no—
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—82no—
733C2×C22⋊C4—82no—
734C2×C22⋊C4—82no—
735C2×C22⋊C4C2×D411yescharacteristic
736C2×C22⋊C4C2×D411yescharacteristic
737C2×C22⋊C4C2×D411yescharacteristic
738C2×C22⋊C4C2×D411yescharacteristic
739C2×C22⋊C4C2×D411yescharacteristic
740C2×C22⋊C4C2×D411yescharacteristic
741C2×C22⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C42—21no—
746C2×C42—21no—
747C2×C42—21no—
748C2×C42—21no—
749C2×C42—21no—
750C2×C42—41no—
751C2×C42—41no—
752C2×C42C2×D411yescharacteristic
753C2×C42C2×D411yescharacteristic
754C2×C42C2411yescharacteristic
755C2×C42C2411yescharacteristic
756C2×C42C2411yescharacteristic
757C2×C42C2411yescharacteristic
758#107—22no—
759#106—41no—
760#106—41no—
761#106—41no—
762#106—41no—
763#106—41no—
764#106—41no—
765#106—41no—
766#106—41no—
767C4⋊C8—41no—
768C4⋊C8—41no—
769C4⋊C8—41no—
770C4⋊C8—41no—
771#102—22no—
772#102—22no—
773#102—22no—
774#102—22no—
775#102—22no—
776#102—22no—
777#102—22no—
778#102—41no—
779#102—41no—
780#102—41no—
781#102—41no—
782#102—41no—
783#102—41no—
784#102—41no—
785#102—41no—
786#102—41no—
787#102—41no—
788#102—41no—
789#102—41no—
790#102—41no—
791#102—41no—
792#102—41no—
793#102—41no—
794#102—41no—
795#102—41no—
796#102—41no—
797C22⋊C8—22no—
798C22⋊C8—22no—
799C22⋊C8—41no—
800C22⋊C8—41no—
801C22⋊C8—41no—
802C22⋊C8—41no—
803C22⋊C8—41no—
804C22⋊C8—41no—
805#97—41no—
806C4×C8—41no—
807#95—21no—
808#95—21no—
809#95—21no—
810#95—21no—
811#95—21no—
812#95—21no—
813#95—21no—
814#95—21no—
815#95—21no—
816#95—21no—
817#95—21no—
818#95—21no—
819#95—21no—
820#95—21no—
821#95—21no—
822#95—21no—
823#95—21no—
824#95—21no—
825#95C2×D411yescharacteristic
826#95C2×D411yescharacteristic
827#95C2×D411yescharacteristic
828#95C2×D411yescharacteristic
829#95C2×D411yescharacteristic
830#95C2×D411yescharacteristic
831C24—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—42no—
836C24—42no—
837C24—42no—
838C24—42no—
839C24—42no—
840C24—42no—
841C24—42no—
842C24—81no—
843C24—81no—
844C24—81no—
845C24—81no—
846C24—81no—
847C24—81no—
848C24—81no—
849C24C22×D411yescharacteristic
850C24C22×D411yescharacteristic
851C24C22×D411yescharacteristic
852C2×D4—22no—
853C2×D4—22no—
854C2×D4—22no—
855C2×D4—24no—
856C2×D4—22no—
857C2×D4—22no—
858C2×D4—22no—
859C2×D4—22no—
860C2×D4—21no—
861C2×D4—21no—
862C2×D4—21no—
863C2×D4—21no—
864C2×D4—21no—
865C2×D4—21no—
866C2×D4—21no—
867C2×D4—21no—
868C2×D4—21no—
869C2×D4—21no—
870C2×D4—21no—
871C2×D4—21no—
872C2×D4—21no—
873C2×D4—21no—
874C2×D4—21no—
875C2×D4—21no—
876C2×D4—21no—
877C2×D4—21no—
878C2×D4—21no—
879C2×D4—21no—
880C2×D4—21no—
881C2×D4—21no—
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—41no—
885C2×D4—42no—
886C2×D4—42no—
887C2×D4—42no—
888C2×D4—42no—
889C2×D4—42no—
890C2×D4—42no—
891C2×D4—44no—
892C2×D4—42no—
893C2×D4—42no—
894C2×D4—42no—
895C2×D4—42no—
896C2×D4—42no—
897C2×D4—42no—
898C2×D4—42no—
899C2×D4—42no—
900C2×D4—42no—
901C2×D4—42no—
902C2×D4—42no—
903C2×D4—42no—
904C2×D4—82no—
905C2×D4—82no—
906C2×D4—81no—
907C2×D4—81no—
908C2×D4—81no—
909C2×D4—81no—
910C2×D4—81no—
911C2×D4—82no—
912C2×D4—82no—
913C2×D4—82no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—81no—
917C2×D4—81no—
918C2×D4—81no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—81no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—816no—
927C2×D4AGL(1,ℤ/8)14yes—
928C2×D4C2×#4112yes—
929C2×D4H(5,𝔽2)12yes—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—22no—
935C22×C4—22no—
936C22×C4—21no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—41no—
963C22×C4—41no—
964C22×C4—42no—
965C22×C4—42no—
966C22×C4—42no—
967C22×C4—42no—
968C22×C4—42no—
969C22×C4—42no—
970C22×C4—42no—
971C22×C4—42no—
972C22×C4—42no—
973C22×C4—42no—
974C22×C4—42no—
975C22×C4—42no—
976C22×C4—81no—
977C22×C4—81no—
978C22×C4—81no—
979C22×C4—81no—
980C22×C4—81no—
981C22×C4—81no—
982C22×C4—81no—
983C22×C4—81no—
984C22×C4—81no—
985C22×C4—81no—
986C22×C4—81no—
987C22×C4—81no—
988C22×C4—81no—
989C22×C4—81no—
990C22×C4—81no—
991C22×C4C22×D411yescharacteristic
992C22×C4C22×D411yescharacteristic
993C22×C4C22×D411yescharacteristic
994C22×C4C22×D411yescharacteristic
995C22×C4C22×D411yescharacteristic
996C22×C4C22×D411yescharacteristic
997C22×C4C22×D411yescharacteristic
998C22×C4C22×D411yescharacteristic
999C22×C4C22×D411yescharacteristic
1000C22×C4C22×D411yescharacteristic
1001C22×C4C22×D411yescharacteristic
1002C22×C4C2×#4112yes—
1003C22×C4H(5,𝔽2)12yes—
1004C22×C4C2511yescharacteristic
1005D8—82no—
1006D8—82no—
1007D8—82no—
1008M16—82no—
1009C2×C8—21no—
1010C2×C8—21no—
1011C2×C8—21no—
1012C2×C8—21no—
1013C2×C8—21no—
1014C2×C8—21no—
1015C2×C8—21no—
1016C2×C8—21no—
1017C2×C8—21no—
1018C2×C8—21no—
1019C2×C8—21no—
1020C2×C8—21no—
1021C2×C8—21no—
1022C2×C8—21no—
1023C2×C8—21no—
1024C2×C8—21no—
1025C2×C8—21no—
1026C2×C8—21no—
1027C2×C8—21no—
1028C2×C8—21no—
1029C2×C8—21no—
1030C2×C8—21no—
1031C2×C8—21no—
1032C2×C8—21no—
1033C2×C8—82no—
1034C2×C8—82no—
1035C2×C8—82no—
1036C4⋊C4—22no—
1037C4⋊C4—22no—
1038C4⋊C4—22no—
1039C4⋊C4—22no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—21no—
1043C4⋊C4—21no—
1044C4⋊C4—21no—
1045C4⋊C4—21no—
1046C4⋊C4—21no—
1047C4⋊C4—21no—
1048C4⋊C4—21no—
1049C4⋊C4—21no—
1050C4⋊C4—21no—
1051C4⋊C4—21no—
1052C4⋊C4—21no—
1053C4⋊C4—21no—
1054C4⋊C4—21no—
1055C4⋊C4—21no—
1056C4⋊C4—21no—
1057C4⋊C4—21no—
1058C4⋊C4—21no—
1059C4⋊C4—21no—
1060C4⋊C4—21no—
1061C4⋊C4—21no—
1062C4⋊C4—21no—
1063C4⋊C4—41no—
1064C4⋊C4—42no—
1065C4⋊C4—42no—
1066C4⋊C4—42no—
1067C4⋊C4—42no—
1068C4⋊C4—42no—
1069C4⋊C4—42no—
1070C4⋊C4—42no—
1071C4⋊C4—42no—
1072C4⋊C4—42no—
1073C4⋊C4—42no—
1074C4⋊C4—42no—
1075C4⋊C4—42no—
1076C4⋊C4—42no—
1077C4⋊C4—42no—
1078C4⋊C4—81no—
1079C4⋊C4—81no—
1080C4⋊C4—81no—
1081C4⋊C4—81no—
1082C4⋊C4—81no—
1083C4⋊C4—81no—
1084C4⋊C4—81no—
1085C4⋊C4—81no—
1086C4⋊C4—81no—
1087C4⋊C4—81no—
1088C4⋊C4—81no—
1089C4⋊C4C2×#4112yes—
1090C22⋊C4—22no—
1091C22⋊C4—22no—
1092C22⋊C4—22no—
1093C22⋊C4—24no—
1094C22⋊C4—22no—
1095C22⋊C4—22no—
1096C22⋊C4—22no—
1097C22⋊C4—22no—
1098C22⋊C4—22no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4—42no—
1102C22⋊C4—42no—
1103C22⋊C4—42no—
1104C22⋊C4—42no—
1105C22⋊C4—42no—
1106C22⋊C4—42no—
1107C22⋊C4—42no—
1108C22⋊C4—42no—
1109C22⋊C4—42no—
1110C22⋊C4—42no—
1111C22⋊C4—42no—
1112C22⋊C4—42no—
1113C22⋊C4—42no—
1114C22⋊C4—42no—
1115C22⋊C4—42no—
1116C22⋊C4—42no—
1117C22⋊C4—42no—
1118C22⋊C4—42no—
1119C22⋊C4—42no—
1120C22⋊C4—42no—
1121C22⋊C4—42no—
1122C22⋊C4—42no—
1123C22⋊C4—42no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C22⋊C4—81no—
1131C22⋊C4—81no—
1132C22⋊C4—81no—
1133C22⋊C4—81no—
1134C22⋊C4—81no—
1135C22⋊C4—81no—
1136C22⋊C4—81no—
1137C22⋊C4—81no—
1138C22⋊C4—81no—
1139C22⋊C4—81no—
1140C22⋊C4—81no—
1141C42—21no—
1142C42—21no—
1143C42—21no—
1144C42—21no—
1145C42—21no—
1146C42—21no—
1147C42—21no—
1148C42—21no—
1149C42—41no—
1150C42—41no—
1151C42—42no—
1152C42—42no—
1153C42—42no—
1154C42—42no—
1155C42—81no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—22no—
1168C23—21no—
1169C23—22no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—84no—
1202C23—84no—
1203C23—84no—
1204C23—84no—
1205C23—84no—
1206C23—84no—
1207C23—84no—
1208C23—162no—
1209C23—162no—
1210C23—162no—
1211C23—162no—
1212C23—162no—
1213C23—162no—
1214C23—162no—
1215C23#54612yes—
1216C23C2×AGL(1,ℤ/8)12yes—
1217C23C2×AGL(1,ℤ/8)12yes—
1218C23#57712yes—
1219C23C23×D411yescharacteristic
1220D4—28no—
1221D4—22no—
1222D4—22no—
1223D4—22no—
1224D4—22no—
1225D4—44no—
1226D4—44no—
1227D4—48no—
1228D4—41no—
1229D4—41no—
1230D4—41no—
1231D4—41no—
1232D4—41no—
1233D4—41no—
1234D4—41no—
1235D4—41no—
1236D4—41no—
1237D4—41no—
1238D4—41no—
1239D4—41no—
1240D4—84no—
1241D4—84no—
1242D4—84no—
1243D4—84no—
1244D4—84no—
1245D4—162no—
1246D4—162no—
1247D4—162no—
1248D4—162no—
1249D4—162no—
1250D4—162no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—22no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—44no—
1286C2×C4—44no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—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—84no—
1331C2×C4—84no—
1332C2×C4—162no—
1333C2×C4—162no—
1334C2×C4—162no—
1335C2×C4—162no—
1336C2×C4—162no—
1337C2×C4—162no—
1338C2×C4—162no—
1339C2×C4#54612yes—
1340C2×C4C2×AGL(1,ℤ/8)12yes—
1341C2×C4#57612yes—
1342C2×C4#57712yes—
1343C2×C4C22×#4111yescharacteristic
1344C2×C4C2×H(5,𝔽2)11yescharacteristic
1345C2×C4C2×H(5,𝔽2)11yescharacteristic
1346C2×C4#58511yescharacteristic
1347C2×C4#58511yescharacteristic
1348C2×C4#58511yescharacteristic
1349C8—41no—
1350C8—41no—
1351C8—41no—
1352C8—41no—
1353C8—41no—
1354C8—41no—
1355C8—41no—
1356C8—41no—
1357C22—22no—
1358C22—22no—
1359C22—22no—
1360C22—22no—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—42no—
1372C22—42no—
1373C22—41no—
1374C22—42no—
1375C22—42no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—42no—
1381C22—42no—
1382C22—41no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—168no—
1406C22—168no—
1407C22#330614yes—
1408C22C2×#54611yescharacteristic
1409C22#348511yescharacteristic
1410C22#348811yescharacteristic
1411C22C22×AGL(1,ℤ/8)11yescharacteristic
1412C22C2×#57611yescharacteristic
1413C22C2×#57711yescharacteristic
1414C22C2×#57711yescharacteristic
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—42no—
1427C4—81no—
1428C4—81no—
1429C4—81no—
1430C4—81no—
1431C4—81no—
1432C4—81no—
1433C4—81no—
1434C4—81no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4#351311yescharacteristic
1439C4#352111yescharacteristic
1440C4#353411yescharacteristic
1441C4#356011yescharacteristic
1442C2—24no—
1443C2—42no—
1444C2—81no—
1445C2—82no—
1446C2—82no—
1447C2—161no—
1448C2—161no—
1449C2#4353011yescharacteristic
1450C2C2×#330611yescharacteristic
1451C2#6121511yescharacteristic
1452C2#6172811yescharacteristic
1453C2#6176611yescharacteristic
1454C2#6197911yescharacteristic
1455C2#6205211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59408C2semidirect
2. #59304C2semidirect
3. #32207C2semidirect
4. #32072C2semidirect
5. #31834C2semidirect
6. #31574C2semidirect
7. #31514C2semidirect
8. #31474C2semidirect
9. #31391C2semidirect
10. #30412C2semidirect
11. #28117C2semidirect
12. #27678C2semidirect
13. #27539C2semidirect
14. #27427C2semidirect
15. #27211C2semidirect
16. #27039C2semidirect
17. #26214C2semidirect
18. #25537C2semidirect
19. #25238C2semidirect
20. #25221C2semidirect
21. #25124C2semidirect
22. #24935C2semidirect
23. #24865C2semidirect
24. #24865C2semidirect
25. #24526C2semidirect
26. #24424C2semidirect
27. C2×#2071C2semidirect
28. #22493C2semidirect
29. D4×#102C2semidirect
30. #22184C2semidirect
31. #22172C2semidirect
36. C2×#481C22semidirect
41. C2×#435C22semidirect
51. #2552C22semidirect
53. #2537C22semidirect
54. #2501C22semidirect
55. #2501C22semidirect
56. #2496C22semidirect
57. #2496C22semidirect
71. #2416C22semidirect
77. #2354C22semidirect
79. D4×C4⋊C4C22semidirect
80. D4×C4⋊C4C22semidirect
85. C4×#121C22semidirect
87. C2×#384C22semidirect
88. #2100C22semidirect
89. #2100C22semidirect
90. #2099C22semidirect
91. #2094C22semidirect
92. #2094C22semidirect
93. #2094C22semidirect
94. #2088C22semidirect
95. #2084C22semidirect
96. #2077C22semidirect
97. #2077C22semidirect
98. #2077C22semidirect
104. #2071C22semidirect
105. #2071C22semidirect
106. #2071C22semidirect
107. #2071C22semidirect
109. #2065C22semidirect
110. #2065C22semidirect
111. #2065C22semidirect
112. #2059C22semidirect
115. #2054C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
123. #2025C22semidirect
126. #1999C22semidirect
127. #1999C22semidirect
128. #1992C22semidirect
129. #1989C22semidirect
131. #1972C22semidirect
133. #1948C22semidirect
134. #1948C22semidirect
135. #1941C22semidirect
137. #1934C22semidirect
140. #1926C22semidirect
141. #1926C22semidirect
142. #1926C22semidirect
143. #1926C22semidirect
144. #1924C22semidirect
145. #1923C22semidirect
146. #1921C22semidirect
147. #1921C22semidirect
148. #1920C22semidirect
149. #1920C22semidirect
150. #1917C22semidirect
151. #1916C22semidirect
152. #1895C22semidirect
153. #1895C22semidirect
156. #1893C22semidirect
157. #1893C22semidirect
160. #1879C22semidirect
161. #1879C22semidirect
162. #1879C22semidirect
163. #1879C22semidirect
164. #1875C22semidirect
168. #1874C22semidirect
169. #1874C22semidirect
170. #1870C22semidirect
172. #1869C22semidirect
173. #1869C22semidirect
174. #1864C22semidirect
175. #1864C22semidirect
176. #1864C22semidirect
178. #1854C22semidirect
179. #1853C22semidirect
180. #1853C22semidirect
181. #1853C22semidirect
182. #1851C22semidirect
183. #1850C22semidirect
184. #1825C22semidirect
185. #1824C22semidirect
186. #1823C22semidirect
187. #1807C22semidirect
188. #1807C22semidirect
190. #1802C22semidirect
191. #1802C22semidirect
192. #1802C22semidirect
193. #1797C22semidirect
197. #1762C22semidirect
199. #1736C22semidirect
200. C2×#340C22semidirect
201. C2×#340C22semidirect
202. C2×#336C22semidirect

Maximal subgroups

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

subgroupindex
#594082
#593042
#322072
#320722
#318342
#315742
#315142
#314742
#313912
#304122
#281172
#276782
#275392
#274272
#272112
#270392
#262142
#255372
#252382
#252212
#251242
#249352
#248652
#245262
#244242
C2×#20712
#224932
D4×#1022
#221842
#221722