Finite Group Databasebeta

← #7063287

Subgroups — #7063287

Order 512.

1875 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59197C211yesmaximal, characteristic, complemented
2#39339C211yesmaximal, characteristic
3#32206C211yesmaximal, characteristic, complemented
4#32036C211yesmaximal, characteristic, complemented
5#32035C211yesmaximal, characteristic, complemented
6#31796C211yesmaximal, characteristic, complemented
7#31768C211yesmaximal, characteristic, complemented
8#31499C211yesmaximal, characteristic, complemented
9#31328C211yesmaximal, characteristic, complemented
10#30647C211yesmaximal, characteristic, complemented
11#29051C211yesmaximal, characteristic, complemented
12#28609C211yesmaximal, characteristic, complemented
13#28107C211yesmaximal, characteristic, complemented
14#28079C211yesmaximal, characteristic, complemented
15#27407C211yesmaximal, characteristic, complemented
16#27343C211yesmaximal, characteristic, complemented
17#27264C211yesmaximal, characteristic, complemented
18#26246C211yesmaximal, characteristic, complemented
19#26215C211yesmaximal, characteristic, complemented
20#25998C211yesmaximal, characteristic, complemented
21#25243C211yesmaximal, characteristic, complemented
22#24873C211yesmaximal, characteristic, complemented
23#24553C211yesmaximal, characteristic, complemented
24#24550C211yesmaximal, characteristic, complemented
25#24476C211yesmaximal, characteristic, complemented
26#24088C211yesmaximal, characteristic, complemented
27C2×#2033C211yesmaximal, characteristic, complemented
28#22844C211yesmaximal, characteristic, complemented
29#22617C211yesmaximal, characteristic, complemented
30#22495C211yesmaximal, characteristic, complemented
31#21758C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#535—21no—
34C22×#121C2211yescharacteristic
35C2×#490C2211yescharacteristic, complemented
36C2×#481C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic, complemented
38C2×#480C2211yescharacteristic
39C2×#435C2211yescharacteristic
40C2×#435C2211yescharacteristic, complemented
41C22×#107C2211yescharacteristic
42C22×#102C2211yescharacteristic
43C22×#102C2211yescharacteristic
44C22×C22⋊C8C2211yescharacteristic
45C22×C22⋊C8C2211yescharacteristic
46#2847C2211yescharacteristic
47#2747—21no—
48#2741—21no—
49#2676—21no—
50#2676—21no—
51#2673—21no—
52#2673—21no—
53#2613—21no—
54#2569—21no—
55#2562C2211yescharacteristic, complemented
56#2541C2211yescharacteristic
57#2541C2211yescharacteristic
58#2510—21no—
59#2498—21no—
60#2495C2211yescharacteristic, complemented
61#2494C2211yescharacteristic, complemented
62#2493—21no—
63#2491C2211yescharacteristic
64#2491C2211yescharacteristic
65#2487C2211yescharacteristic, complemented
66#2486C2211yescharacteristic
67#2485C2211yescharacteristic, complemented
68#2442C2211yescharacteristic
69#2442C2211yescharacteristic, complemented
70#2433C2211yescharacteristic
71#2428C2211yescharacteristic
72#2428C2211yescharacteristic
73#2416C2211yescharacteristic
74#2416C2211yescharacteristic
75#2412—21no—
76#2411—21no—
77#2408C2211yescharacteristic
78#2404—21no—
79#2352C2211yescharacteristic
80#2352C2211yescharacteristic, complemented
81#2345C2211yescharacteristic, complemented
82#2344C2211yescharacteristic
83#2344C2211yescharacteristic
84#2342—21no—
85C4×#120C2211yescharacteristic
86C2×#380C2211yescharacteristic
87C2×#380C2211yescharacteristic
88#2101C2211yescharacteristic, complemented
89#2092C2211yescharacteristic, complemented
90#2088C2211yescharacteristic, complemented
91#2087C2211yescharacteristic, complemented
92#2077C2211yescharacteristic, complemented
93#2077C2211yescharacteristic, complemented
94#2075C2211yescharacteristic, complemented
95#2075C2211yescharacteristic, complemented
96#2073C2211yescharacteristic, complemented
97#2073C2211yescharacteristic, complemented
98#2067C2211yescharacteristic, complemented
99#2067C2211yescharacteristic, complemented
100#2065C2211yescharacteristic, complemented
101#2065C2211yescharacteristic, complemented
102#2059C2211yescharacteristic, complemented
103#2057C2211yescharacteristic, complemented
104#2057C2211yescharacteristic, complemented
105#2041C2211yescharacteristic, complemented
106#2041C2211yescharacteristic, complemented
107#2041C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2034C2211yescharacteristic, complemented
110#2034C2211yescharacteristic, complemented
111#2034C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2033C2211yescharacteristic
115#2033C2211yescharacteristic
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic, complemented
123#2033C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2025C2211yescharacteristic, complemented
128#1993C2211yescharacteristic, complemented
129#1989C2211yescharacteristic, complemented
130#1987C2211yescharacteristic, complemented
131#1982C2211yescharacteristic, complemented
132#1982C2211yescharacteristic, complemented
133#1961C2211yescharacteristic, complemented
134#1955C2211yescharacteristic, complemented
135#1949C2211yescharacteristic, complemented
136#1943C2211yescharacteristic, complemented
137#1943C2211yescharacteristic, complemented
138#1936C2211yescharacteristic, complemented
139#1936C2211yescharacteristic, complemented
140#1936C2211yescharacteristic, complemented
141#1936C2211yescharacteristic, complemented
142#1926C2211yescharacteristic, complemented
143#1925C2211yescharacteristic, complemented
144#1925C2211yescharacteristic, complemented
145#1925C2211yescharacteristic, complemented
146#1924C2211yescharacteristic, complemented
147#1924C2211yescharacteristic, complemented
148#1921C2211yescharacteristic, complemented
149#1921C2211yescharacteristic, complemented
150#1921C2211yescharacteristic, complemented
151#1921C2211yescharacteristic, complemented
152#1921C2211yescharacteristic, complemented
153#1919C2211yescharacteristic, complemented
154#1895C2211yescharacteristic, complemented
155#1895C2211yescharacteristic, complemented
156#1895C2211yescharacteristic, complemented
157#1893C2211yescharacteristic
158#1893C2211yescharacteristic
159#1893C2211yescharacteristic
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic
162#1893C2211yescharacteristic
163#1893C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1875C2211yescharacteristic, complemented
166#1875C2211yescharacteristic, complemented
167#1874C2211yescharacteristic
168#1874C2211yescharacteristic
169#1874C2211yescharacteristic
170#1874C2211yescharacteristic
171#1874C2211yescharacteristic
172#1874C2211yescharacteristic, complemented
173#1870C2211yescharacteristic, complemented
174#1869C2211yescharacteristic
175#1869C2211yescharacteristic, complemented
176#1862C2211yescharacteristic, complemented
177#1862C2211yescharacteristic, complemented
178#1853C2211yescharacteristic, complemented
179#1852C2211yescharacteristic
180#1852C2211yescharacteristic, complemented
181#1852C2211yescharacteristic, complemented
182#1850C2211yescharacteristic
183#1850C2211yescharacteristic, complemented
184#1824C2211yescharacteristic, complemented
185#1824C2211yescharacteristic, complemented
186#1823C2211yescharacteristic
187#1823C2211yescharacteristic
188#1823C2211yescharacteristic
189#1808C2211yescharacteristic, complemented
190#1808C2211yescharacteristic, complemented
191#1807C2211yescharacteristic
192#1807C2211yescharacteristic
193#1804C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic
196#1776C2211yescharacteristic, complemented
197#1776C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199#1752C2211yescharacteristic
200#1752C2211yescharacteristic, complemented
201#1736C2211yescharacteristic, complemented
202C2×#340C2211yescharacteristic
203C22×#41—21no—
204C23×D4—21no—
205C23×D4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C22×M16C2311yescharacteristic
208C23×C8C2311yescharacteristic
209C23×C8C2311yescharacteristic
210C23×C8C2311yescharacteristic
211C23×C8C2311yescharacteristic
212#547—24no—
213#547—42no—
214#535—48no—
215C2×C4⋊Q8C2311yescharacteristic
216C2×#127—21no—
217C2×#127—21no—
218C2×#127C2311yescharacteristic
219C2×#127C2311yescharacteristic
220C2×#125C2311yescharacteristic
221C2×#124—21no—
222C2×#124—21no—
223C2×#123—21no—
224C2×#123—21no—
225C2×#123—21no—
226C2×C22⋊Q8—21no—
227C2×#121—21no—
228C2×#121—21no—
229C2×#121—21no—
230C2×#121—21no—
231C2×#121—21no—
232C2×#121—21no—
233C2×#121—24no—
234C2×#121—42no—
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
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×#120D411yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×C4×D4C2311yescharacteristic
254C2×#117—21no—
255C2×#117—21no—
256C2×#117C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C22⋊C4—21no—
264C22×C22⋊C4—21no—
265C22×C22⋊C4—21no—
266#490—42no—
267#482—42no—
268#481—42no—
269#480—42no—
270#435—42no—
271#435—42no—
272C2×#107—24no—
273C2×#107C2311yescharacteristic
274C2×#107C2311yescharacteristic
275C2×#107C2311yescharacteristic
276C2×#107C2311yescharacteristic
277C2×#107C2311yescharacteristic
278C2×#107C2311yescharacteristic
279C2×#107C2311yescharacteristic
280C2×#107C2311yescharacteristic
281C2×#106C2311yescharacteristic
282C2×#106C2311yescharacteristic
283C2×#106C2311yescharacteristic
284C2×#106C2311yescharacteristic
285C2×C4⋊C8C2311yescharacteristic
286C2×C4⋊C8C2311yescharacteristic
287C2×C4⋊C8C2311yescharacteristic
288C2×#102—42no—
289C2×#102—42no—
290C2×#102C2311yescharacteristic
291C2×#102C2311yescharacteristic
292C2×#102C2311yescharacteristic
293C2×#102C2311yescharacteristic
294C2×#102C2311yescharacteristic
295C2×#102C2311yescharacteristic
296C2×#102C2311yescharacteristic
297C2×#102C2311yescharacteristic
298C2×#102C2311yescharacteristic
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×C22⋊C8—42no—
315C2×C22⋊C8—42no—
316C2×C22⋊C8C2311yescharacteristic
317C2×C22⋊C8C2311yescharacteristic
318C2×C22⋊C8C2311yescharacteristic
319C2×C22⋊C8C2311yescharacteristic
320C2×C22⋊C8C2311yescharacteristic
321C2×C22⋊C8C2311yescharacteristic
322C2×C22⋊C8C2311yescharacteristic
323C2×C22⋊C8C2311yescharacteristic
324C2×C22⋊C8C2311yescharacteristic
325C2×C22⋊C8C2311yescharacteristic
326C2×C22⋊C8C2311yescharacteristic
327C2×#97C2311yescharacteristic
328C2×#97C2311yescharacteristic
329C2×#97C2311yescharacteristic
330#401—21no—
331#400—21no—
332#400—21no—
333#400—21no—
334#400—21no—
335#400—21no—
336#399—21no—
337#398—21no—
338#398—21no—
339#398—21no—
340#397—21no—
341#397—21no—
342#397—21no—
343#397—21no—
344#396—21no—
345#396—21no—
346#394—21no—
347#394—21no—
348#394—21no—
349#394—21no—
350#394—21no—
351#394—21no—
352#394—21no—
353#394—21no—
354#394—21no—
355#393—21no—
356#393—21no—
357#392—21no—
358#392—21no—
359#392—21no—
360#392—21no—
361#392—21no—
362#392—21no—
363#392—21no—
364#392—21no—
365#392—21no—
366#390—21no—
367#390—21no—
368#390C2311yescharacteristic
369#390C2311yescharacteristic
370#390C2311yescharacteristic
371#390C2311yescharacteristic
372#389C2311yescharacteristic
373#389C2311yescharacteristic
374#389C2311yescharacteristic
375#389C2311yescharacteristic
376#389C2311yescharacteristic
377#389C2311yescharacteristic
378#389C2311yescharacteristic
379#389C2311yescharacteristic
380#388—21no—
381#388—21no—
382#388—21no—
383#388—21no—
384#388—21no—
385#388—21no—
386#388—21no—
387#388—21no—
388#388—21no—
389#387—21no—
390#387—21no—
391#387—21no—
392#387—21no—
393#387—21no—
394#387—21no—
395#387—21no—
396#387—21no—
397#387—21no—
398#387—21no—
399#386—21no—
400#386—21no—
401#386—21no—
402#386—21no—
403#386—21no—
404#386—21no—
405#386—21no—
406#386—21no—
407#386—21no—
408#386—21no—
409#386D411yescharacteristic
410#386D411yescharacteristic
411#386D411yescharacteristic
412#385—21no—
413#385—21no—
414#385—21no—
415#385D411yescharacteristic
416#385D411yescharacteristic
417#385D411yescharacteristic
418#383—21no—
419#382C2311yescharacteristic
420#382C2311yescharacteristic
421#381—21no—
422#381—21no—
423#381—21no—
424#380—21no—
425#380—21no—
426#380—21no—
427#380—21no—
428#380—21no—
429#380—21no—
430#380—21no—
431#380C2311yescharacteristic
432#380C2311yescharacteristic
433#380C2311yescharacteristic
434#380C2311yescharacteristic
435#380C2311yescharacteristic
436#380C2311yescharacteristic
437#380C2311yescharacteristic
438#380C2311yescharacteristic
439#380C2311yescharacteristic
440#380C2311yescharacteristic
441#380C2311yescharacteristic
442#380C2311yescharacteristic
443#380C2311yescharacteristic
444#380C2311yescharacteristic
445#379—21no—
446#379D411yescharacteristic
447C4×C4⋊C4C2311yescharacteristic
448C4×C4⋊C4C2311yescharacteristic
449C4×C4⋊C4C2311yescharacteristic
450C4×C4⋊C4C2311yescharacteristic
451C4×C4⋊C4C2311yescharacteristic
452C4×C22⋊C4—21no—
453C4×C22⋊C4—21no—
454C4×C22⋊C4—21no—
455C4×C22⋊C4C2311yescharacteristic
456C4×C22⋊C4C2311yescharacteristic
457C4×C22⋊C4C2311yescharacteristic
458C2×#95—21no—
459C2×#95—21no—
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#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494C25—21no—
495C25C2×D411yescharacteristic
496C2×#41—44no—
497C2×#41—44no—
498C2×#41—82no—
499C22×Q8—21no—
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—21no—
512C22×D4—21no—
513C22×D4—21no—
514C22×D4—21no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—44no—
522C22×D4—44no—
523C22×D4—82no—
524C22×D4C2×D411yescharacteristic
525C22×D4C2×D411yescharacteristic
526C22×D4C2×D411yescharacteristic
527C22×D4C2411yescharacteristic
528C22×D4C2411yescharacteristic
529C22×D4C2411yescharacteristic
530C23×C4—21no—
531C23×C4—22no—
532C23×C4—22no—
533C23×C4—21no—
534C23×C4—21no—
535C23×C4—21no—
536C23×C4—21no—
537C23×C4—21no—
538C23×C4—21no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4C2×D411yescharacteristic
544C23×C4C2×D411yescharacteristic
545C23×C4C2×D411yescharacteristic
546C23×C4C2411yescharacteristic
547C23×C4C2411yescharacteristic
548C23×C4C2411yescharacteristic
549C23×C4C2411yescharacteristic
550C2×M16—41no—
551C2×M16—41no—
552C2×M16—41no—
553C22×C8—22no—
554C22×C8—22no—
555C22×C8—22no—
556C22×C8—41no—
557C22×C8—41no—
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
573C4⋊Q8—22no—
574C4⋊Q8—41no—
575#127—41no—
576#127—41no—
577#127—41no—
578#127—41no—
579#127—44no—
580#127—44no—
581#125—41no—
582#125—41no—
583#124—44no—
584#124—44no—
585#123—44no—
586#123—44no—
587#123—82no—
588C22⋊Q8—44no—
589#121—22no—
590#121—22no—
591#121—22no—
592#121—22no—
593#121—22no—
594#121—22no—
595#121—22no—
596#121—44no—
597#121—44no—
598#121—41no—
599#121—41no—
600#121—41no—
601#121—41no—
602#121—41no—
603#121—44no—
604#121—44no—
605#121—44no—
606#121—44no—
607#121—41no—
608#121—41no—
609#121—41no—
610#121—41no—
611#121—41no—
612#121—41no—
613#121—41no—
614#121—41no—
615#120—24no—
616#120—44no—
617#120—44no—
618#120—44no—
619#120—82no—
620C4×D4—22no—
621C4×D4—22no—
622C4×D4—22no—
623C4×D4—41no—
624C4×D4—41no—
625C4×D4—41no—
626C4×D4—41no—
627C4×D4—41no—
628#117—44no—
629#117—41no—
630#117—41no—
631#117—82no—
632C2×C4⋊C4—21no—
633C2×C4⋊C4—22no—
634C2×C4⋊C4—22no—
635C2×C4⋊C4—22no—
636C2×C4⋊C4—22no—
637C2×C4⋊C4—21no—
638C2×C4⋊C4—21no—
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—41no—
654C2×C4⋊C4—41no—
655C2×C4⋊C4—41no—
656C2×C4⋊C4—41no—
657C2×C4⋊C4—41no—
658C2×C4⋊C4—41no—
659C2×C4⋊C4—41no—
660C2×C4⋊C4C2×D411yescharacteristic
661C2×C4⋊C4C2×D411yescharacteristic
662C2×C4⋊C4C2×D411yescharacteristic
663C2×C4⋊C4#4114yes—
664C2×C4⋊C4C2411yescharacteristic
665C2×C4⋊C4C2411yescharacteristic
666C2×C4⋊C4C2411yescharacteristic
667C2×C4⋊C4C2411yescharacteristic
668C2×C4⋊C4C2411yescharacteristic
669C2×C4⋊C4C2411yescharacteristic
670C2×C4⋊C4C2411yescharacteristic
671C2×C4⋊C4C2411yescharacteristic
672C2×C4⋊C4C2411yescharacteristic
673C2×C4⋊C4C2411yescharacteristic
674C2×C4⋊C4C2411yescharacteristic
675C2×C4⋊C4C2411yescharacteristic
676C2×C4⋊C4C2411yescharacteristic
677C2×C22⋊C4—21no—
678C2×C22⋊C4—21no—
679C2×C22⋊C4—21no—
680C2×C22⋊C4—21no—
681C2×C22⋊C4—21no—
682C2×C22⋊C4—21no—
683C2×C22⋊C4—21no—
684C2×C22⋊C4—21no—
685C2×C22⋊C4—21no—
686C2×C22⋊C4—21no—
687C2×C22⋊C4—21no—
688C2×C22⋊C4—21no—
689C2×C22⋊C4—21no—
690C2×C22⋊C4—21no—
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—44no—
712C2×C22⋊C4—44no—
713C2×C22⋊C4—82no—
714C2×C22⋊C4C2×D411yescharacteristic
715C2×C22⋊C4C2×D411yescharacteristic
716C2×C22⋊C4C2×D411yescharacteristic
717C2×C22⋊C4C2×D411yescharacteristic
718C2×C22⋊C4C2×D411yescharacteristic
719C2×C22⋊C4C2×D411yescharacteristic
720C2×C22⋊C4C2×D411yescharacteristic
721C2×C22⋊C4C2×D411yescharacteristic
722C2×C22⋊C4C2×D411yescharacteristic
723C2×C22⋊C4C2×D411yescharacteristic
724C2×C22⋊C4C2×D411yescharacteristic
725C2×C22⋊C4C2×D411yescharacteristic
726C2×C42—21no—
727C2×C42—21no—
728C2×C42—21no—
729C2×C42—21no—
730C2×C42—21no—
731C2×C42—21no—
732C2×C42C2411yescharacteristic
733C2×C42C2411yescharacteristic
734C2×C42C2411yescharacteristic
735#107—22no—
736#107—22no—
737#107—22no—
738#107—22no—
739#107—41no—
740#107—41no—
741#107—41no—
742#107—41no—
743#106—22no—
744#106—41no—
745#106—41no—
746#106—41no—
747C4⋊C8—41no—
748C4⋊C8—41no—
749C4⋊C8—41no—
750#102—22no—
751#102—22no—
752#102—22no—
753#102—41no—
754#102—41no—
755#102—41no—
756#102—41no—
757#102—41no—
758#102—41no—
759#102—41no—
760#102—41no—
761#102—41no—
762#102—41no—
763#102—41no—
764#102—41no—
765#102—41no—
766#102—41no—
767#102—41no—
768#102—41no—
769#102—41no—
770#102—41no—
771#102—41no—
772#102—41no—
773#102—41no—
774C22⋊C8—22no—
775C22⋊C8—22no—
776C22⋊C8—22no—
777C22⋊C8—22no—
778C22⋊C8—22no—
779C22⋊C8—41no—
780C22⋊C8—41no—
781C22⋊C8—41no—
782C22⋊C8—41no—
783C22⋊C8—41no—
784C22⋊C8—41no—
785#97—22no—
786#97—41no—
787#97—41no—
788#95—21no—
789#95—21no—
790#95—21no—
791#95—21no—
792#95—21no—
793#95—21no—
794#95—21no—
795#95—21no—
796#95—21no—
797#95—21no—
798#95—21no—
799#95—21no—
800#95—21no—
801#95—21no—
802#95—21no—
803#95—21no—
804#95—21no—
805#95—21no—
806#95—21no—
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#95C2×D411yescharacteristic
820#95C2×D411yescharacteristic
821#95C2×D411yescharacteristic
822#95C2×D411yescharacteristic
823#95C2×D411yescharacteristic
824#95C2×D411yescharacteristic
825C24—22no—
826C24—22no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—41no—
831C24—41no—
832C24—41no—
833C24—41no—
834C24—42no—
835C24—42no—
836C24—42no—
837C24—81no—
838C24—81no—
839C24—81no—
840C24—81no—
841C24AGL(1,ℤ/8)14yes—
842C24C22×D411yescharacteristic
843C24C22×D411yescharacteristic
844C24C22×D411yescharacteristic
845C24C22×D411yescharacteristic
846#41—816no—
847C2×Q8—42no—
848C2×Q8—42no—
849C2×Q8—81no—
850C2×D4—22no—
851C2×D4—22no—
852C2×D4—22no—
853C2×D4—22no—
854C2×D4—22no—
855C2×D4—21no—
856C2×D4—21no—
857C2×D4—21no—
858C2×D4—21no—
859C2×D4—21no—
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—44no—
874C2×D4—44no—
875C2×D4—41no—
876C2×D4—41no—
877C2×D4—41no—
878C2×D4—41no—
879C2×D4—42no—
880C2×D4—42no—
881C2×D4—42no—
882C2×D4—42no—
883C2×D4—42no—
884C2×D4—42no—
885C2×D4—42no—
886C2×D4—42no—
887C2×D4—42no—
888C2×D4—42no—
889C2×D4—42no—
890C2×D4—42no—
891C2×D4—42no—
892C2×D4—42no—
893C2×D4—42no—
894C2×D4—42no—
895C2×D4—42no—
896C2×D4—42no—
897C2×D4—42no—
898C2×D4—42no—
899C2×D4—82no—
900C2×D4—82no—
901C2×D4—81no—
902C2×D4—81no—
903C2×D4—81no—
904C2×D4—81no—
905C2×D4—81no—
906C2×D4—81no—
907C2×D4—81no—
908C2×D4—81no—
909C2×D4—81no—
910C2×D4—81no—
911C2×D4—81no—
912C2×D4—81no—
913C2×D4—81no—
914C2×D4—81no—
915C2×D4—81no—
916C2×D4—81no—
917C2×D4—81no—
918C2×D4—816no—
919C2×D4—81no—
920C2×D4—81no—
921C2×D4—81no—
922C2×D4—81no—
923C2×D4—81no—
924C2×D4—81no—
925C2×D4—81no—
926C2×D4—81no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—24no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—22no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
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—22no—
954C22×C4—22no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—41no—
967C22×C4—41no—
968C22×C4—41no—
969C22×C4—41no—
970C22×C4—41no—
971C22×C4—41no—
972C22×C4—42no—
973C22×C4—42no—
974C22×C4—42no—
975C22×C4—42no—
976C22×C4—42no—
977C22×C4—42no—
978C22×C4—42no—
979C22×C4—42no—
980C22×C4—42no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—82no—
985C22×C4—82no—
986C22×C4—82no—
987C22×C4—82no—
988C22×C4—81no—
989C22×C4—81no—
990C22×C4—81no—
991C22×C4—81no—
992C22×C4—81no—
993C22×C4—81no—
994C22×C4—81no—
995C22×C4—81no—
996C22×C4C22×D411yescharacteristic
997C22×C4C22×D411yescharacteristic
998C22×C4C22×D411yescharacteristic
999C22×C4C22×D411yescharacteristic
1000C22×C4C22×D411yescharacteristic
1001C22×C4C22×D411yescharacteristic
1002C22×C4C22×D411yescharacteristic
1003C22×C4C22×D411yescharacteristic
1004C22×C4C22×D411yescharacteristic
1005C22×C4C22×D411yescharacteristic
1006C22×C4C2×#4112yes—
1007C22×C4H(5,𝔽2)12yes—
1008C22×C4C2511yescharacteristic
1009M16—82no—
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—44no—
1034C2×C8—82no—
1035C2×C8—82no—
1036C2×C8—82no—
1037C2×C8H(5,𝔽2)12yes—
1038C4⋊C4—24no—
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—21no—
1064C4⋊C4—41no—
1065C4⋊C4—41no—
1066C4⋊C4—42no—
1067C4⋊C4—42no—
1068C4⋊C4—42no—
1069C4⋊C4—42no—
1070C4⋊C4—42no—
1071C4⋊C4—42no—
1072C4⋊C4—81no—
1073C4⋊C4—81no—
1074C4⋊C4—81no—
1075C4⋊C4—81no—
1076C4⋊C4—81no—
1077C4⋊C4—81no—
1078C4⋊C4—81no—
1079C4⋊C4—81no—
1080C4⋊C4—81no—
1081C4⋊C4—81no—
1082C4⋊C4C2×#4112yes—
1083C4⋊C4C2×#4112yes—
1084C22⋊C4—22no—
1085C22⋊C4—22no—
1086C22⋊C4—22no—
1087C22⋊C4—22no—
1088C22⋊C4—22no—
1089C22⋊C4—22no—
1090C22⋊C4—41no—
1091C22⋊C4—41no—
1092C22⋊C4—41no—
1093C22⋊C4—41no—
1094C22⋊C4—41no—
1095C22⋊C4—41no—
1096C22⋊C4—42no—
1097C22⋊C4—42no—
1098C22⋊C4—42no—
1099C22⋊C4—42no—
1100C22⋊C4—42no—
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—81no—
1117C22⋊C4—81no—
1118C22⋊C4—81no—
1119C22⋊C4—81no—
1120C22⋊C4—81no—
1121C22⋊C4—81no—
1122C22⋊C4—81no—
1123C22⋊C4—81no—
1124C22⋊C4—81no—
1125C22⋊C4—81no—
1126C22⋊C4—81no—
1127C22⋊C4—81no—
1128C22⋊C4—81no—
1129C22⋊C4—81no—
1130C42—21no—
1131C42—21no—
1132C42—21no—
1133C42—21no—
1134C42—21no—
1135C42—21no—
1136C42—42no—
1137C42—42no—
1138C42—81no—
1139C42—81no—
1140C42—81no—
1141C42—81no—
1142C23—21no—
1143C23—21no—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—28no—
1159C23—21no—
1160C23—21no—
1161C23—21no—
1162C23—21no—
1163C23—21no—
1164C23—21no—
1165C23—21no—
1166C23—44no—
1167C23—44no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23—41no—
1174C23—41no—
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—82no—
1190C23—82no—
1191C23—82no—
1192C23—82no—
1193C23—84no—
1194C23—84no—
1195C23—84no—
1196C23—162no—
1197C23—162no—
1198C23—162no—
1199C23—162no—
1200C23#54612yes—
1201C23C2×AGL(1,ℤ/8)12yes—
1202C23C2×AGL(1,ℤ/8)12yes—
1203C23C2×AGL(1,ℤ/8)12yes—
1204C23#57612yes—
1205C23C23×D411yescharacteristic
1206Q8—84no—
1207D4—44no—
1208D4—41no—
1209D4—41no—
1210D4—41no—
1211D4—41no—
1212D4—41no—
1213D4—41no—
1214D4—41no—
1215D4—41no—
1216D4—41no—
1217D4—41no—
1218D4—41no—
1219D4—41no—
1220D4—84no—
1221D4—82no—
1222D4—82no—
1223D4—84no—
1224D4—84no—
1225D4—84no—
1226D4—84no—
1227D4—84no—
1228D4—84no—
1229D4—162no—
1230D4—162no—
1231D4—162no—
1232D4—162no—
1233D4—162no—
1234D4—162no—
1235D4—162no—
1236D4—162no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—48no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
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—82no—
1323C2×C4—82no—
1324C2×C4—82no—
1325C2×C4—84no—
1326C2×C4—84no—
1327C2×C4—84no—
1328C2×C4—162no—
1329C2×C4—162no—
1330C2×C4—162no—
1331C2×C4#54612yes—
1332C2×C4C22×#4111yescharacteristic
1333C2×C4C2×H(5,𝔽2)11yescharacteristic
1334C2×C4C2×H(5,𝔽2)11yescharacteristic
1335C2×C4#58511yescharacteristic
1336C2×C4#58511yescharacteristic
1337C2×C4#58511yescharacteristic
1338C8—22no—
1339C8—41no—
1340C8—41no—
1341C8—41no—
1342C8—41no—
1343C8—41no—
1344C8—41no—
1345C8—41no—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—22no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—41no—
1363C22—41no—
1364C22—41no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—88no—
1374C22—81no—
1375C22—81no—
1376C22—81no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
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—168no—
1396C22#331814yes—
1397C22C2×#54611yescharacteristic
1398C22#348511yescharacteristic
1399C22#349611yescharacteristic
1400C22C22×AGL(1,ℤ/8)11yescharacteristic
1401C22C2×#57611yescharacteristic
1402C22#358411yescharacteristic
1403C22#358611yescharacteristic
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—42no—
1415C4—42no—
1416C4—81no—
1417C4—81no—
1418C4—81no—
1419C4—81no—
1420C4—81no—
1421C4—81no—
1422C4—81no—
1423C4—81no—
1424C4—81no—
1425C4—81no—
1426C4—81no—
1427C4#349411yescharacteristic
1428C4#351011yescharacteristic
1429C4#353311yescharacteristic
1430C4#354211yescharacteristic
1431C2—24no—
1432C2—42no—
1433C2—42no—
1434C2—81no—
1435C2—161no—
1436C2—161no—
1437C2—161no—
1438C2#4390511yescharacteristic
1439C2C2×#331811yescharacteristic
1440C2#6119011yescharacteristic
1441C2#6170411yescharacteristic
1442C2#6177211yescharacteristic
1443C2#6225311yescharacteristic
1444C2#6231111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#39339C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59197C2semidirect
3. #32206C2semidirect
4. #32036C2semidirect
5. #32035C2semidirect
6. #31796C2semidirect
7. #31768C2semidirect
8. #31499C2semidirect
9. #31328C2semidirect
10. #30647C2semidirect
11. #29051C2semidirect
12. #28609C2semidirect
13. #28107C2semidirect
14. #28079C2semidirect
15. #27407C2semidirect
16. #27343C2semidirect
17. #27264C2semidirect
18. #26246C2semidirect
19. #26215C2semidirect
20. #25998C2semidirect
21. #25243C2semidirect
22. #24873C2semidirect
23. #24553C2semidirect
24. #24550C2semidirect
25. #24476C2semidirect
26. #24088C2semidirect
27. C2×#2033C2semidirect
28. #22844C2semidirect
29. #22617C2semidirect
30. #22495C2semidirect
31. #21758C2semidirect
35. C2×#490C22semidirect
36. C2×#481C22semidirect
37. C2×#482C22semidirect
40. C2×#435C22semidirect
55. #2562C22semidirect
60. #2495C22semidirect
61. #2494C22semidirect
65. #2487C22semidirect
67. #2485C22semidirect
69. #2442C22semidirect
80. #2352C22semidirect
81. #2345C22semidirect
88. #2101C22semidirect
89. #2092C22semidirect
90. #2088C22semidirect
91. #2087C22semidirect
92. #2077C22semidirect
93. #2077C22semidirect
94. #2075C22semidirect
95. #2075C22semidirect
96. #2073C22semidirect
97. #2073C22semidirect
98. #2067C22semidirect
99. #2067C22semidirect
100. #2065C22semidirect
101. #2065C22semidirect
102. #2059C22semidirect
103. #2057C22semidirect
104. #2057C22semidirect
105. #2041C22semidirect
106. #2041C22semidirect
107. #2041C22semidirect
108. #2041C22semidirect
109. #2034C22semidirect
110. #2034C22semidirect
111. #2034C22semidirect
112. #2034C22semidirect
113. #2034C22semidirect
122. #2033C22semidirect
123. #2033C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2025C22semidirect
128. #1993C22semidirect
129. #1989C22semidirect
130. #1987C22semidirect
131. #1982C22semidirect
132. #1982C22semidirect
133. #1961C22semidirect
134. #1955C22semidirect
135. #1949C22semidirect
136. #1943C22semidirect
137. #1943C22semidirect
138. #1936C22semidirect
139. #1936C22semidirect
140. #1936C22semidirect
141. #1936C22semidirect
142. #1926C22semidirect
143. #1925C22semidirect
144. #1925C22semidirect
145. #1925C22semidirect
146. #1924C22semidirect
147. #1924C22semidirect
148. #1921C22semidirect
149. #1921C22semidirect
150. #1921C22semidirect
151. #1921C22semidirect
152. #1921C22semidirect
153. #1919C22semidirect
154. #1895C22semidirect
155. #1895C22semidirect
156. #1895C22semidirect
163. #1893C22semidirect
164. #1893C22semidirect
165. #1875C22semidirect
166. #1875C22semidirect
172. #1874C22semidirect
173. #1870C22semidirect
175. #1869C22semidirect
176. #1862C22semidirect
177. #1862C22semidirect
178. #1853C22semidirect
180. #1852C22semidirect
181. #1852C22semidirect
183. #1850C22semidirect
184. #1824C22semidirect
185. #1824C22semidirect
189. #1808C22semidirect
190. #1808C22semidirect
193. #1804C22semidirect
196. #1776C22semidirect
197. #1776C22semidirect
198. #1762C22semidirect
200. #1752C22semidirect
201. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#591972
#393392
#322062
#320362
#320352
#317962
#317682
#314992
#313282
#306472
#290512
#286092
#281072
#280792
#274072
#273432
#272642
#262462
#262152
#259982
#252432
#248732
#245532
#245502
#244762
#240882
C2×#20332
#228442
#226172
#224952
#217582