Finite Group Databasebeta

← #7626775

Subgroups — #7626775

Order 512.

9766 conjugacy classes of subgroups.

The subgroup lattice has 1203 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#534C211yesmaximal, characteristic
2#34437C214yesmaximal, complemented
3#34437C214yesmaximal, complemented
4#34408C218yesmaximal, complemented
5#34407C218yesmaximal, complemented
6#34379C212yesmaximal, complemented
7#34376C214yesmaximal, complemented
8#34358C212yesmaximal, complemented
9#34356C214yesmaximal, complemented
10#34273C212yesmaximal, complemented
11#34264C214yesmaximal, complemented
12#34246C212yesmaximal, complemented
13#34238C214yesmaximal, complemented
14#34204C212yesmaximal, complemented
15#34198C214yesmaximal, complemented
16#34176C211yesmaximal, characteristic, complemented
17#34171C212yesmaximal, complemented
18C2×#2342C211yesmaximal, characteristic, complemented
19C2×D4×C22⋊C4C212yesmaximal, complemented
20C4×#534C212yesmaximal, complemented
21C24×D4C2212yes—
22C2×#534C4132yescomplemented
23C2×#534C2211yescharacteristic
24C2×#534C2214yes—
25C2×#534C2214yes—
26C2×#534C2212yes—
27C2×#534C2212yes—
28C2×#534C2212yes—
29C2×#534C2211yescharacteristic
30C22×#123C2214yes—
31C22×#121C2212yes—
32C22×#121C2212yes—
33C22×#120C2214yes—
34C2×#518C2212yescomplemented
35C2×#518C2214yescomplemented
36C22×C4×D4C2214yescomplemented
37C22×#117C2211yescharacteristic, complemented
38C23×C22⋊C4C2211yescharacteristic
39C23×C22⋊C4C2211yescharacteristic
40C23×C22⋊C4C2212yescomplemented
41#2377C2218yescomplemented
42#2377C2214yescomplemented
43#2377C2214yescomplemented
44#2376C2218yescomplemented
45#2376C2218yescomplemented
46#2375C2218yescomplemented
47#2375C2218yescomplemented
48#2374C2218yescomplemented
49#2374C2218yescomplemented
50#2364C2218yescomplemented
51#2364C2218yescomplemented
52#2363C2214yescomplemented
53#2363C2218yescomplemented
54#2363C2214yescomplemented
55#2361C2218yescomplemented
56#2361C2218yescomplemented
57#2359C2218yescomplemented
58#2359C2218yescomplemented
59#2359C2218yescomplemented
60#2359C2218yescomplemented
61#2358C2218yescomplemented
62#2358C2218yescomplemented
63#2358C2218yescomplemented
64#2358C2218yescomplemented
65#2358C2218yescomplemented
66#2358C2218yescomplemented
67#2345C2212yescomplemented
68#2345C2214yescomplemented
69#2345C2212yescomplemented
70#2342C2214yescomplemented
71#2342C2214yescomplemented
72#2342C2214yescomplemented
73#2342C2214yescomplemented
74#2342C2214yescomplemented
75#2342C2214yescomplemented
76#2342C2214yescomplemented
77#2342C2214yescomplemented
78#2342C2218yescomplemented
79#2342C2218yescomplemented
80D4×C22⋊C4C2214yes—
81D4×C22⋊C4C2214yes—
82D4×C22⋊C4C2214yes—
83D4×C22⋊C4C2214yes—
84D4×C22⋊C4C2214yescomplemented
85D4×C22⋊C4C2214yescomplemented
86D4×C22⋊C4C2212yescomplemented
87D4×C22⋊C4C2214yescomplemented
88D4×C22⋊C4C2214yescomplemented
89D4×C22⋊C4C2214yescomplemented
90D4×C22⋊C4C2212yescomplemented
91D4×C22⋊C4C2218yescomplemented
92D4×C22⋊C4C2218yescomplemented
93D4×C22⋊C4C2218yescomplemented
94D4×C22⋊C4C2218yescomplemented
95#2335C2218yescomplemented
96#2335C2218yescomplemented
97#2335C2218yescomplemented
98#2335C2218yescomplemented
99#2333C2214yescomplemented
100#2333C2214yescomplemented
101#2333C2218yescomplemented
102#2325C2214yescomplemented
103#2325C2214yescomplemented
104#2325C2214yescomplemented
105#2325C2214yescomplemented
106#2324C2218yescomplemented
107#2324C2214yescomplemented
108#2324C2214yescomplemented
109#2322C2218yescomplemented
110#2322C2218yescomplemented
111#2321C2218yescomplemented
112#2321C2218yescomplemented
113#2321C2218yescomplemented
114#2321C2218yescomplemented
115#2321C2218yescomplemented
116#2321C2218yescomplemented
117#2316C2212yescomplemented
118#2315C2214yescomplemented
119#2315C2212yescomplemented
120#2313C2214yescomplemented
121#2312C2214yescomplemented
122#2312C2214yescomplemented
123#2312C2212yescomplemented
124#2312C2212yescomplemented
125#2309C2212yescomplemented
126#2309C2214yescomplemented
127#2308C2214yescomplemented
128#2308C2214yescomplemented
129#2308C2214yescomplemented
130C4×#123C2218yescomplemented
131C4×#123C2218yescomplemented
132C4×#121C2214yescomplemented
133C4×#121C2214yescomplemented
134C4×#121C2214yescomplemented
135C4×#121C2214yescomplemented
136C4×#120C2218yescomplemented
137C4×#120C2218yescomplemented
138C2×#390C2214yescomplemented
139C2×#388C2212yescomplemented
140C2×#388C2212yescomplemented
141C2×#386C2214yescomplemented
142C2×#386C2214yescomplemented
143C2×#385C2212yescomplemented
144#2280C2212yescomplemented
145#2280C2214yescomplemented
146#2280C2212yescomplemented
147C2×#381C2211yescharacteristic, complemented
148C2×#380C2212yescomplemented
149C2×#380C2211yescharacteristic, complemented
150C2×#379C2212yes—
151C2×#379C2211yescharacteristic
152C2×#379C2212yescomplemented
153C2×#379C2214yescomplemented
154#2274C2212yescomplemented
155#2273C2214yescomplemented
156#2273C2212yescomplemented
157C2×C4×C22⋊C4C2212yescomplemented
158C2×C4×C22⋊C4C2211yescharacteristic, complemented
159C2×C4×C22⋊C4C2212yescomplemented
160C26C2311yescharacteristic
161C26C2312yes—
162C23×D4—416no—
163C23×D4C2×C4132yescomplemented
164C23×D4C2312yes—
165C23×D4C2312yes—
166C23×D4C2314yes—
167C23×D4C2314yes—
168C23×D4C2312yes—
169C23×D4C2312yes—
170C23×D4C2312yes—
171C23×D4C2314yes—
172C23×D4C2314yes—
173C23×D4C2312yes—
174C24×C4C2312yes—
175C24×C4C2312yes—
176C24×C4C2311yescharacteristic
177C24×C4C2311yescharacteristic
178C24×C4C2314yescomplemented
179#534C2×C4116yescomplemented
180#534C2×C4132yescomplemented
181#534C2×C4116yescomplemented
182#534C2×C4164yescomplemented
183#534C2×C4164yescomplemented
184#534C2×C4132yescomplemented
185#534C2×C4132yescomplemented
186C2×#123C2×C4164yescomplemented
187C2×#123C2314yes—
188C2×#123C2314yes—
189C2×#123C2314yes—
190C2×#123C2314yes—
191C2×#123C2314yes—
192C2×#123C2314yes—
193C2×#123C2314yes—
194C2×#123C2314yes—
195C2×#121C2×C4132yescomplemented
196C2×#121C2×C4132yescomplemented
197C2×#121C2312yes—
198C2×#121C2312yes—
199C2×#121C2314yes—
200C2×#121C2312yes—
201C2×#121C2312yes—
202C2×#121C2312yes—
203C2×#121C2312yes—
204C2×#121C2314yes—
205C2×#121C2314yes—
206C2×#121C2312yes—
207C2×#121C2314yes—
208C2×#121C2312yes—
209C2×#120C2×C4164yescomplemented
210C2×#120C2314yes—
211C2×#120C2314yes—
212C2×#120C2314yes—
213C2×#120C2314yes—
214C2×#120C2314yes—
215C2×#120C2314yes—
216C2×#120C2314yes—
217C2×#120C2314yes—
218#518—48no—
219#518—416no—
220C2×C4×D4—416no—
221C2×C4×D4C2318yes—
222C2×C4×D4C2318yes—
223C2×C4×D4C2318yes—
224C2×C4×D4C2318yes—
225C2×C4×D4C2314yescomplemented
226C2×C4×D4C2318yescomplemented
227C2×C4×D4C2314yescomplemented
228C2×C4×D4C2318yescomplemented
229C2×C4×D4C2318yescomplemented
230C2×C4×D4C2318yescomplemented
231C2×C4×D4C2318yescomplemented
232C2×C4×D4C2314yescomplemented
233C2×C4×D4C2318yescomplemented
234C2×C4×D4C2314yescomplemented
235C2×#117—44no—
236C2×#117C2312yes—
237C2×#117C2312yes—
238C2×#117C2312yes—
239C2×#117C2312yes—
240C2×#117C2318yescomplemented
241C2×#117C2314yescomplemented
242C2×#117C2314yescomplemented
243C22×C4⋊C4C2312yes—
244C22×C4⋊C4C2312yes—
245C22×C4⋊C4C2314yescomplemented
246C22×C4⋊C4C2312yescomplemented
247C22×C4⋊C4C2312yescomplemented
248C22×C22⋊C4—44no—
249C22×C22⋊C4—48no—
250C22×C22⋊C4C2×C4116yescomplemented
251C22×C22⋊C4C2312yes—
252C22×C22⋊C4C2314yes—
253C22×C22⋊C4C2312yes—
254C22×C22⋊C4C2314yes—
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2314yes—
257C22×C22⋊C4C2314yes—
258C22×C22⋊C4C2314yes—
259C22×C22⋊C4C2312yes—
260C22×C22⋊C4C2312yes—
261C22×C22⋊C4C2312yes—
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2312yes—
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2314yes—
267C22×C22⋊C4C2312yes—
268C22×C22⋊C4C2314yes—
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2314yes—
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2314yes—
275C22×C22⋊C4C2314yes—
276C22×C22⋊C4C2314yes—
277C22×C22⋊C4C2318yescomplemented
278C22×C22⋊C4C2314yescomplemented
279C22×C22⋊C4C2318yescomplemented
280C22×C22⋊C4C2314yescomplemented
281C22×C22⋊C4C2318yescomplemented
282C22×C22⋊C4C2314yescomplemented
283C22×C42C2312yescomplemented
284C22×C42C2314yescomplemented
285C22×C42C2312yescomplemented
286#390C2318yes—
287#390C2318yes—
288#390C2318yes—
289#390C2318yes—
290#390C2314yescomplemented
291#390C2318yescomplemented
292#390C2318yescomplemented
293#390C2314yescomplemented
294#390C2318yescomplemented
295#390C2318yescomplemented
296#390C2314yescomplemented
297#390C2314yescomplemented
298#390C2318yescomplemented
299#390C2318yescomplemented
300#389C2314yescomplemented
301#389C2318yescomplemented
302#389C2314yescomplemented
303#389C2314yescomplemented
304#389C2318yescomplemented
305#389C2314yescomplemented
306#388C2318yescomplemented
307#388C2318yescomplemented
308#388C2318yescomplemented
309#388C2318yescomplemented
310#388C2318yescomplemented
311#388C2318yescomplemented
312#388C2318yescomplemented
313#388C2318yescomplemented
314#388C2318yescomplemented
315#388C2318yescomplemented
316#388C2318yescomplemented
317#388C2318yescomplemented
318#388C2318yescomplemented
319#388C2318yescomplemented
320#388C2318yescomplemented
321#388C2318yescomplemented
322#388C2318yescomplemented
323#388C2318yescomplemented
324#388C2318yescomplemented
325#388C2318yescomplemented
326#388C2318yescomplemented
327#388C2318yescomplemented
328#388C2318yescomplemented
329#388C2318yescomplemented
330#387C2318yescomplemented
331#387C2318yescomplemented
332#387C2318yescomplemented
333#387C2318yescomplemented
334#387C2318yescomplemented
335#387C2318yescomplemented
336#387C2318yescomplemented
337#387C2318yescomplemented
338#386C2318yes—
339#386C2318yes—
340#386C2318yes—
341#386C2318yes—
342#386C2318yes—
343#386C2318yes—
344#386C2318yes—
345#386C2318yes—
346#386C2318yescomplemented
347#386C2318yescomplemented
348#386C2318yescomplemented
349#386C2318yescomplemented
350#386C2318yescomplemented
351#386C2318yescomplemented
352#386C2318yescomplemented
353#386C2318yescomplemented
354#386C2318yescomplemented
355#386C2318yescomplemented
356#386C2318yescomplemented
357#386C2318yescomplemented
358#386C2318yescomplemented
359#386C2318yescomplemented
360#386C2318yescomplemented
361#386C2318yescomplemented
362#385C2318yescomplemented
363#385C2318yescomplemented
364#385C2318yescomplemented
365#385C2318yescomplemented
366#385C2318yescomplemented
367#385C2318yescomplemented
368#385C2318yescomplemented
369#385C2318yescomplemented
370#385C2318yescomplemented
371#385C2318yescomplemented
372#385C2318yescomplemented
373#385C2318yescomplemented
374#381C2314yes—
375#381C2314yes—
376#381C2318yescomplemented
377#381C2314yescomplemented
378#381C2314yescomplemented
379#380C2312yes—
380#380C2314yes—
381#380C2314yes—
382#380C2314yes—
383#380C2314yes—
384#380C2312yes—
385#380C2314yes—
386#380C2314yescomplemented
387#380C2314yescomplemented
388#380C2314yescomplemented
389#380C2314yescomplemented
390#380C2318yescomplemented
391#380C2318yescomplemented
392#379C2314yes—
393#379C2314yes—
394#379C2314yes—
395#379C2314yes—
396#379C2314yes—
397#379C2314yes—
398#379C2314yes—
399#379C2314yes—
400#379C2314yes—
401#379C2314yes—
402#379C2318yescomplemented
403#379C2318yescomplemented
404#379C2318yescomplemented
405C4×C4⋊C4C2314yescomplemented
406C4×C4⋊C4C2318yescomplemented
407C4×C4⋊C4C2314yescomplemented
408C4×C4⋊C4C2314yescomplemented
409C4×C4⋊C4C2318yescomplemented
410C4×C4⋊C4C2314yescomplemented
411C4×C22⋊C4C2312yes—
412C4×C22⋊C4C2314yes—
413C4×C22⋊C4C2314yes—
414C4×C22⋊C4C2314yes—
415C4×C22⋊C4C2314yes—
416C4×C22⋊C4C2314yes—
417C4×C22⋊C4C2312yes—
418C4×C22⋊C4C2314yescomplemented
419C4×C22⋊C4C2314yescomplemented
420C4×C22⋊C4C2318yescomplemented
421C4×C22⋊C4C2318yescomplemented
422C4×C22⋊C4C2318yescomplemented
423C4×C22⋊C4C2318yescomplemented
424C4×C22⋊C4C2318yescomplemented
425C4×C22⋊C4C2318yescomplemented
426C4×C22⋊C4C2318yescomplemented
427C4×C22⋊C4C2314yescomplemented
428C4×C22⋊C4C2314yescomplemented
429C4×C22⋊C4C2318yescomplemented
430C4×C22⋊C4C2318yescomplemented
431C4×C22⋊C4C2318yescomplemented
432C4×C22⋊C4C2318yescomplemented
433C4×C22⋊C4C2318yescomplemented
434C4×C22⋊C4C2318yescomplemented
435C4×C22⋊C4C2318yescomplemented
436C2×#95C2312yescomplemented
437C2×#95C2312yescomplemented
438C2×#95C2314yescomplemented
439C2×#95C2314yescomplemented
440C2×#95C2312yescomplemented
441C2×#95C2312yescomplemented
442C25—28no—
443C25—42no—
444C25—44no—
445C25—48no—
446C25—42no—
447C25—44no—
448C25—82no—
449C25—84no—
450C25C22×C418yes—
451C25C22×C4116yescomplemented
452C25C2412yes—
453C25C2411yescharacteristic
454C25C2414yes—
455C25C2412yes—
456C25C2411yescharacteristic
457C25C2412yes—
458C25C2412yes—
459C25C2414yes—
460C25C2411yescharacteristic
461C22×D4—216no—
462C22×D4—216no—
463C22×D4—44no—
464C22×D4—48no—
465C22×D4—48no—
466C22×D4—44no—
467C22×D4—4128no—
468C22×D4—416no—
469C22×D4—416no—
470C22×D4—416no—
471C22×D4—416no—
472C22×D4—84no—
473C22×D4C22×C4116yes—
474C22×D4C22×C4116yes—
475C22×D4C22×C4132yes—
476C22×D4C22×C4132yes—
477C22×D4C22×C4116yescomplemented
478C22×D4C22×C4132yescomplemented
479C22×D4C22×C4116yescomplemented
480C22×D4C22×C4116yescomplemented
481C22×D4C22×C4132yescomplemented
482C22×D4C22×C4116yescomplemented
483C22×D4C2414yes—
484C22×D4C2414yes—
485C22×D4C2414yes—
486C22×D4C2414yes—
487C22×D4C2412yes—
488C22×D4C2414yes—
489C22×D4C2412yes—
490C22×D4C2412yes—
491C22×D4C2414yes—
492C22×D4C2412yes—
493C22×D4C2414yes—
494C22×D4C2414yes—
495C22×D4C2414yes—
496C22×D4C2414yes—
497C23×C4—28no—
498C23×C4—44no—
499C23×C4—48no—
500C23×C4—42no—
501C23×C4—42no—
502C23×C4—48no—
503C23×C4—48no—
504C23×C4—82no—
505C23×C4—82no—
506C23×C4—84no—
507C23×C4C22×C418yescomplemented
508C23×C4C22×C4116yescomplemented
509C23×C4C22×C418yescomplemented
510C23×C4C2414yes—
511C23×C4C2412yes—
512C23×C4C2412yes—
513C23×C4C2412yes—
514C23×C4C2412yes—
515C23×C4C2414yes—
516C23×C4C2414yes—
517C23×C4C2412yes—
518C23×C4C2412yes—
519C23×C4C2414yes—
520C23×C4C2412yes—
521C23×C4C2418yes—
522C23×C4C2418yes—
523C23×C4C2418yes—
524C23×C4C2418yes—
525C23×C4C2412yes—
526C23×C4C2414yes—
527C23×C4C2411yescharacteristic
528C23×C4C2411yescharacteristic
529C23×C4C2412yes—
530C23×C4C2412yes—
531C23×C4C2411yescharacteristic
532C23×C4C2411yescharacteristic
533C23×C4C2414yes—
534#123C22×C4132yes—
535#123C22×C4132yes—
536#123C22×C4132yescomplemented
537#123C22×C4132yescomplemented
538#123C22×C4132yescomplemented
539#123C22×C4132yescomplemented
540#123C22×C4132yescomplemented
541#123C22×C4132yescomplemented
542#121C22×C4116yes—
543#121C22×C4116yes—
544#121C22×C4132yescomplemented
545#121C22×C4132yescomplemented
546#121C22×C4116yescomplemented
547#121C22×C4116yescomplemented
548#121C22×C4132yescomplemented
549#121C22×C4132yescomplemented
550#121C22×C4116yescomplemented
551#121C22×C4116yescomplemented
552#121C22×C4116yescomplemented
553#121C22×C4116yescomplemented
554#120C22×C4132yes—
555#120C22×C4132yes—
556#120C22×C4132yescomplemented
557#120C22×C4132yescomplemented
558#120C22×C4132yescomplemented
559#120C22×C4132yescomplemented
560#120C22×C4132yescomplemented
561#120C22×C4132yescomplemented
562C4×D4—48no—
563C4×D4—48no—
564C4×D4—416no—
565C4×D4—416no—
566C4×D4—416no—
567C4×D4—416no—
568C4×D4—416no—
569C4×D4—416no—
570C4×D4—416no—
571C4×D4—416no—
572C4×D4—416no—
573C4×D4—84no—
574C4×D4—84no—
575C4×D4—88no—
576#117—28no—
577#117—48no—
578#117—44no—
579#117—44no—
580#117—44no—
581#117—416no—
582#117—84no—
583C2×C4⋊C4—44no—
584C2×C4⋊C4—48no—
585C2×C4⋊C4—82no—
586C2×C4⋊C4C22×C4116yescomplemented
587C2×C4⋊C4C22×C4116yescomplemented
588C2×C4⋊C4C2414yes—
589C2×C4⋊C4C2414yes—
590C2×C4⋊C4C2418yes—
591C2×C4⋊C4C2418yes—
592C2×C4⋊C4C2418yes—
593C2×C4⋊C4C2414yes—
594C2×C4⋊C4C2414yes—
595C2×C4⋊C4C2418yes—
596C2×C4⋊C4C2418yes—
597C2×C4⋊C4C2414yes—
598C2×C4⋊C4C2414yes—
599C2×C4⋊C4C2412yes—
600C2×C4⋊C4C2412yes—
601C2×C4⋊C4C2414yes—
602C2×C4⋊C4C2414yes—
603C2×C4⋊C4C2412yes—
604C2×C4⋊C4C2412yes—
605C2×C22⋊C4—216no—
606C2×C22⋊C4—28no—
607C2×C22⋊C4—28no—
608C2×C22⋊C4—24no—
609C2×C22⋊C4—216no—
610C2×C22⋊C4—44no—
611C2×C22⋊C4—48no—
612C2×C22⋊C4—416no—
613C2×C22⋊C4—48no—
614C2×C22⋊C4—42no—
615C2×C22⋊C4—48no—
616C2×C22⋊C4—44no—
617C2×C22⋊C4—44no—
618C2×C22⋊C4—42no—
619C2×C22⋊C4—48no—
620C2×C22⋊C4—44no—
621C2×C22⋊C4—42no—
622C2×C22⋊C4—48no—
623C2×C22⋊C4—416no—
624C2×C22⋊C4—48no—
625C2×C22⋊C4—82no—
626C2×C22⋊C4—84no—
627C2×C22⋊C4—88no—
628C2×C22⋊C4—84no—
629C2×C22⋊C4C22×C418yes—
630C2×C22⋊C4C22×C418yes—
631C2×C22⋊C4C22×C4132yescomplemented
632C2×C22⋊C4C22×C4132yescomplemented
633C2×C22⋊C4C22×C418yescomplemented
634C2×C22⋊C4C22×C418yescomplemented
635C2×C22⋊C4C22×C4132yescomplemented
636C2×C22⋊C4C22×C4132yescomplemented
637C2×C22⋊C4C2412yes—
638C2×C22⋊C4C2414yes—
639C2×C22⋊C4C2414yes—
640C2×C22⋊C4C2411yescharacteristic
641C2×C22⋊C4C2412yes—
642C2×C22⋊C4C2412yes—
643C2×C22⋊C4C2412yes—
644C2×C22⋊C4C2414yes—
645C2×C22⋊C4C2418yes—
646C2×C22⋊C4C2418yes—
647C2×C22⋊C4C2418yes—
648C2×C22⋊C4C2418yes—
649C2×C22⋊C4C2414yes—
650C2×C22⋊C4C2412yes—
651C2×C22⋊C4C2414yes—
652C2×C22⋊C4C2418yes—
653C2×C22⋊C4C2418yes—
654C2×C22⋊C4C2418yes—
655C2×C22⋊C4C2412yes—
656C2×C22⋊C4C2418yes—
657C2×C22⋊C4C2418yes—
658C2×C22⋊C4C2414yes—
659C2×C22⋊C4C2412yes—
660C2×C22⋊C4C2418yes—
661C2×C22⋊C4C2418yes—
662C2×C22⋊C4C2418yes—
663C2×C22⋊C4C2418yes—
664C2×C22⋊C4C2418yes—
665C2×C22⋊C4C2418yes—
666C2×C22⋊C4C2418yes—
667C2×C22⋊C4C2418yes—
668C2×C22⋊C4C2418yes—
669C2×C22⋊C4C2414yes—
670C2×C22⋊C4C2414yes—
671C2×C22⋊C4C2414yes—
672C2×C22⋊C4C2414yes—
673C2×C22⋊C4C2414yes—
674C2×C22⋊C4C2414yes—
675C2×C22⋊C4C2414yes—
676C2×C22⋊C4C2414yes—
677C2×C22⋊C4C2414yes—
678C2×C22⋊C4C2414yes—
679C2×C22⋊C4C2414yes—
680C2×C22⋊C4C2414yes—
681C2×C22⋊C4C2411yescharacteristic
682C2×C42—44no—
683C2×C42—48no—
684C2×C42—82no—
685C2×C42C2414yes—
686C2×C42C2414yes—
687C2×C42C2414yes—
688C2×C42C2414yes—
689C2×C42C2418yes—
690C2×C42C2418yes—
691C2×C42C2418yes—
692C2×C42C2418yes—
693C2×C42C2418yes—
694C2×C42C2414yes—
695C2×C42C2414yes—
696#95C2414yes—
697#95C2418yes—
698#95C2414yes—
699#95C2418yes—
700#95C2418yes—
701#95C2418yes—
702#95C2418yes—
703#95C2418yes—
704#95C2418yes—
705#95C2418yes—
706#95C2418yes—
707#95C2418yes—
708#95C2414yes—
709#95C2414yes—
710#95C2418yes—
711#95C2418yes—
712#95C2418yes—
713#95C2418yes—
714C24—22no—
715C24—24no—
716C24—28no—
717C24—28no—
718C24—24no—
719C24—22no—
720C24—24no—
721C24—232no—
722C24—28no—
723C24—28no—
724C24—24no—
725C24—28no—
726C24—28no—
727C24—41no—
728C24—42no—
729C24—42no—
730C24—42no—
731C24—44no—
732C24—41no—
733C24—42no—
734C24—44no—
735C24—41no—
736C24—42no—
737C24—42no—
738C24—44no—
739C24—42no—
740C24—44no—
741C24—44no—
742C24—48no—
743C24—432no—
744C24—48no—
745C24—48no—
746C24—48no—
747C24—416no—
748C24—432no—
749C24—41no—
750C24—42no—
751C24—42no—
752C24—44no—
753C24—88no—
754C24—816no—
755C24—816no—
756C24—816no—
757C24—832no—
758C24—832no—
759C24C23×C418yes—
760C24C23×C414yes—
761C24C23×C418yes—
762C24C23×C4116yes—
763C24C23×C414yes—
764C24C23×C418yes—
765C24C23×C418yes—
766C24C23×C4116yes—
767C24C23×C414yes—
768C24H(5,𝔽2)18yes—
769C24C2512yes—
770C24C2511yescharacteristic
771C24C2514yes—
772C24C2514yes—
773C24C2512yes—
774C24C2511yescharacteristic
775C24C2511yescharacteristic
776C2×D4—264no—
777C2×D4—264no—
778C2×D4—216no—
779C2×D4—216no—
780C2×D4—216no—
781C2×D4—216no—
782C2×D4—42no—
783C2×D4—42no—
784C2×D4—44no—
785C2×D4—44no—
786C2×D4—44no—
787C2×D4—48no—
788C2×D4—432no—
789C2×D4—432no—
790C2×D4—48no—
791C2×D4—48no—
792C2×D4—48no—
793C2×D4—48no—
794C2×D4—432no—
795C2×D4—44no—
796C2×D4—42no—
797C2×D4—42no—
798C2×D4—464no—
799C2×D4—464no—
800C2×D4—464no—
801C2×D4—464no—
802C2×D4—816no—
803C2×D4C23×C4116yes—
804C2×D4C23×C4116yes—
805C2×D4C23×C4116yes—
806C2×D4C23×C4116yes—
807C2×D4C23×C418yes—
808C2×D4C23×C418yes—
809C2×D4C23×C4116yes—
810C2×D4C23×C4116yes—
811C2×D4C23×C418yes—
812C2×D4C23×C418yes—
813C2×D4C23×C4116yes—
814C2×D4C23×C4116yes—
815C2×D4C23×C4116yes—
816C2×D4C23×C4116yes—
817C22×C4—28no—
818C22×C4—24no—
819C22×C4—28no—
820C22×C4—24no—
821C22×C4—28no—
822C22×C4—24no—
823C22×C4—28no—
824C22×C4—28no—
825C22×C4—24no—
826C22×C4—24no—
827C22×C4—28no—
828C22×C4—24no—
829C22×C4—24no—
830C22×C4—28no—
831C22×C4—216no—
832C22×C4—41no—
833C22×C4—42no—
834C22×C4—42no—
835C22×C4—41no—
836C22×C4—42no—
837C22×C4—42no—
838C22×C4—44no—
839C22×C4—416no—
840C22×C4—432no—
841C22×C4—41no—
842C22×C4—42no—
843C22×C4—41no—
844C22×C4—48no—
845C22×C4—48no—
846C22×C4—44no—
847C22×C4—44no—
848C22×C4—42no—
849C22×C4—42no—
850C22×C4—44no—
851C22×C4—44no—
852C22×C4—48no—
853C22×C4—42no—
854C22×C4—44no—
855C22×C4—42no—
856C22×C4—44no—
857C22×C4—42no—
858C22×C4—44no—
859C22×C4—44no—
860C22×C4—42no—
861C22×C4—48no—
862C22×C4—48no—
863C22×C4—48no—
864C22×C4—48no—
865C22×C4—48no—
866C22×C4—48no—
867C22×C4—48no—
868C22×C4—48no—
869C22×C4—48no—
870C22×C4—48no—
871C22×C4—88no—
872C22×C4—816no—
873C22×C4—832no—
874C22×C4C23×C418yes—
875C22×C4C23×C418yes—
876C22×C4C23×C418yes—
877C22×C4C23×C414yes—
878C22×C4C23×C414yes—
879C22×C4C23×C414yes—
880C22×C4C23×C414yes—
881C22×C4C23×C418yes—
882C22×C4C23×C4116yes—
883C22×C4C23×C418yes—
884C22×C4C23×C418yes—
885C22×C4C23×C4116yes—
886C22×C4C2514yes—
887C22×C4C2514yes—
888C22×C4C2518yes—
889C22×C4C2518yes—
890C22×C4C2514yes—
891C22×C4C2512yes—
892C22×C4C2512yes—
893C22×C4C2512yes—
894C22×C4C2512yes—
895C22×C4C2512yes—
896C22×C4C2514yes—
897C22×C4C2514yes—
898C22×C4C2512yes—
899C4⋊C4—28no—
900C4⋊C4—44no—
901C4⋊C4—48no—
902C4⋊C4—48no—
903C4⋊C4—48no—
904C4⋊C4—44no—
905C4⋊C4—44no—
906C4⋊C4—48no—
907C4⋊C4—48no—
908C4⋊C4—44no—
909C4⋊C4—44no—
910C4⋊C4C23×C418yes—
911C4⋊C4C23×C418yes—
912C4⋊C4C23×C4116yes—
913C4⋊C4C23×C4116yes—
914C4⋊C4C23×C418yes—
915C4⋊C4C23×C418yes—
916C22⋊C4—24no—
917C22⋊C4—28no—
918C22⋊C4—22no—
919C22⋊C4—216no—
920C22⋊C4—216no—
921C22⋊C4—216no—
922C22⋊C4—24no—
923C22⋊C4—24no—
924C22⋊C4—28no—
925C22⋊C4—28no—
926C22⋊C4—24no—
927C22⋊C4—216no—
928C22⋊C4—44no—
929C22⋊C4—44no—
930C22⋊C4—48no—
931C22⋊C4—42no—
932C22⋊C4—44no—
933C22⋊C4—48no—
934C22⋊C4—42no—
935C22⋊C4—42no—
936C22⋊C4—48no—
937C22⋊C4—48no—
938C22⋊C4—48no—
939C22⋊C4—48no—
940C22⋊C4—48no—
941C22⋊C4—48no—
942C22⋊C4—48no—
943C22⋊C4—48no—
944C22⋊C4—48no—
945C22⋊C4—48no—
946C22⋊C4—48no—
947C22⋊C4—48no—
948C22⋊C4C23×C4116yes—
949C22⋊C4C23×C4116yes—
950C22⋊C4C23×C4116yes—
951C22⋊C4C23×C4116yes—
952C22⋊C4C23×C4116yes—
953C22⋊C4C23×C4116yes—
954C22⋊C4C23×C4116yes—
955C22⋊C4C23×C4116yes—
956C22⋊C4C23×C4116yes—
957C22⋊C4C23×C4116yes—
958C22⋊C4C23×C4116yes—
959C22⋊C4C23×C4116yes—
960C22⋊C4H(5,𝔽2)14yes—
961C42—28no—
962C42—44no—
963C42—48no—
964C42—48no—
965C42—44no—
966C42—44no—
967C42—44no—
968C42—44no—
969C42—48no—
970C42—48no—
971C42—48no—
972C23—21no—
973C23—22no—
974C23—22no—
975C23—21no—
976C23—22no—
977C23—22no—
978C23—24no—
979C23—22no—
980C23—21no—
981C23—22no—
982C23—24no—
983C23—24no—
984C23—28no—
985C23—28no—
986C23—24no—
987C23—22no—
988C23—21no—
989C23—24no—
990C23—22no—
991C23—24no—
992C23—22no—
993C23—24no—
994C23—28no—
995C23—28no—
996C23—216no—
997C23—216no—
998C23—28no—
999C23—28no—
1000C23—216no—
1001C23—216no—
1002C23—28no—
1003C23—216no—
1004C23—232no—
1005C23—44no—
1006C23—48no—
1007C23—44no—
1008C23—48no—
1009C23—48no—
1010C23—44no—
1011C23—48no—
1012C23—48no—
1013C23—416no—
1014C23—416no—
1015C23—416no—
1016C23—44no—
1017C23—48no—
1018C23—48no—
1019C23—416no—
1020C23—44no—
1021C23—48no—
1022C23—48no—
1023C23—416no—
1024C23—48no—
1025C23—48no—
1026C23—416no—
1027C23—416no—
1028C23—416no—
1029C23—416no—
1030C23—88no—
1031C23—88no—
1032C23—84no—
1033C23—816no—
1034C23—88no—
1035C23—88no—
1036C23—84no—
1037C23—816no—
1038C23—864no—
1039C23—816no—
1040C23—816no—
1041C23—8128no—
1042C23#518116yescomplemented
1043C23C24×C414yes—
1044C23C24×C418yes—
1045C23C24×C418yes—
1046C23C24×C412yes—
1047C23C24×C414yes—
1048C23C24×C412yes—
1049C23C24×C412yes—
1050C23C2×H(5,𝔽2)18yes—
1051C23C2×H(5,𝔽2)14yes—
1052C23C2×H(5,𝔽2)12yes—
1053C23#58512yes—
1054C23C2611yescharacteristic
1055D4—232no—
1056D4—232no—
1057D4—232no—
1058D4—232no—
1059D4—416no—
1060D4—416no—
1061D4—416no—
1062D4—416no—
1063D4—48no—
1064D4—416no—
1065D4—48no—
1066D4—48no—
1067D4—416no—
1068D4—48no—
1069C2×C4—22no—
1070C2×C4—22no—
1071C2×C4—22no—
1072C2×C4—28no—
1073C2×C4—28no—
1074C2×C4—22no—
1075C2×C4—22no—
1076C2×C4—24no—
1077C2×C4—24no—
1078C2×C4—22no—
1079C2×C4—216no—
1080C2×C4—216no—
1081C2×C4—216no—
1082C2×C4—24no—
1083C2×C4—28no—
1084C2×C4—22no—
1085C2×C4—24no—
1086C2×C4—24no—
1087C2×C4—24no—
1088C2×C4—28no—
1089C2×C4—28no—
1090C2×C4—24no—
1091C2×C4—22no—
1092C2×C4—28no—
1093C2×C4—24no—
1094C2×C4—22no—
1095C2×C4—24no—
1096C2×C4—28no—
1097C2×C4—28no—
1098C2×C4—24no—
1099C2×C4—24no—
1100C2×C4—44no—
1101C2×C4—44no—
1102C2×C4—48no—
1103C2×C4—416no—
1104C2×C4—416no—
1105C2×C4—44no—
1106C2×C4—44no—
1107C2×C4—48no—
1108C2×C4—48no—
1109C2×C4—48no—
1110C2×C4—416no—
1111C2×C4—816no—
1112C2×C4—84no—
1113C2×C4—88no—
1114C2×C4—84no—
1115C2×C4—88no—
1116C2×C4—84no—
1117C2×C4—88no—
1118C2×C4—816no—
1119C2×C4—168no—
1120C2×C4—168no—
1121C2×C4C24×C414yes—
1122C2×C4C24×C414yes—
1123C2×C4C24×C414yes—
1124C2×C4C24×C414yes—
1125C2×C4C24×C418yes—
1126C2×C4C24×C418yes—
1127C2×C4C2×H(5,𝔽2)14yes—
1128C22—28no—
1129C22—24no—
1130C22—24no—
1131C22—28no—
1132C22—24no—
1133C22—24no—
1134C22—22no—
1135C22—22no—
1136C22—24no—
1137C22—22no—
1138C22—22no—
1139C22—24no—
1140C22—24no—
1141C22—28no—
1142C22—28no—
1143C22—22no—
1144C22—22no—
1145C22—28no—
1146C22—28no—
1147C22—24no—
1148C22—22no—
1149C22—28no—
1150C22—28no—
1151C22—24no—
1152C22—416no—
1153C22—416no—
1154C22—432no—
1155C22—432no—
1156C22—48no—
1157C22—48no—
1158C22—42no—
1159C22—44no—
1160C22—48no—
1161C22—48no—
1162C22—42no—
1163C22—44no—
1164C22—832no—
1165C22—816no—
1166C22—816no—
1167C22—88no—
1168C22—832no—
1169C22C2×#51818yes—
1170C22C2×#51814yes—
1171C22C4×H(5,𝔽2)14yes—
1172C22C25×C411yescharacteristic
1173C22C22×H(5,𝔽2)11yescharacteristic
1174C22C22×H(5,𝔽2)12yes—
1175C22C2×#58511yescharacteristic
1176C22H(7,𝔽2)12yes—
1177C4—24no—
1178C4—28no—
1179C4—28no—
1180C4—24no—
1181C4—24no—
1182C4—24no—
1183C4—24no—
1184C4—42no—
1185C4—44no—
1186C4—48no—
1187C4—44no—
1188C4—48no—
1189C4—44no—
1190C2—24no—
1191C2—28no—
1192C2—24no—
1193C2—48no—
1194C2—42no—
1195C2—44no—
1196C2—48no—
1197C2C22×#51811yescharacteristic
1198C2C2×C4×H(5,𝔽2)11yescharacteristic
1199C2#6265211yescharacteristic
1200C2#6289212yes—
1201C2#6290012yes—
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC22×#534C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34437C2semidirect
3. #34437C2semidirect
4. #34408C2semidirect
5. #34407C2semidirect
6. #34379C2semidirect
7. #34376C2semidirect
8. #34358C2semidirect
9. #34356C2semidirect
10. #34273C2semidirect
11. #34264C2semidirect
12. #34246C2semidirect
13. #34238C2semidirect
14. #34204C2semidirect
15. #34198C2semidirect
16. #34176C2semidirect
17. #34171C2semidirect
18. C2×#2342C2semidirect
19. C2×D4×C22⋊C4C2semidirect
20. C4×#534C2semidirect
22. C2×#534C4semidirect
34. C2×#518C22semidirect
35. C2×#518C22semidirect
36. C22×C4×D4C22semidirect
37. C22×#117C22semidirect
40. C23×C22⋊C4C22semidirect
41. #2377C22semidirect
42. #2377C22semidirect
43. #2377C22semidirect
44. #2376C22semidirect
45. #2376C22semidirect
46. #2375C22semidirect
47. #2375C22semidirect
48. #2374C22semidirect
49. #2374C22semidirect
50. #2364C22semidirect
51. #2364C22semidirect
52. #2363C22semidirect
53. #2363C22semidirect
54. #2363C22semidirect
55. #2361C22semidirect
56. #2361C22semidirect
57. #2359C22semidirect
58. #2359C22semidirect
59. #2359C22semidirect
60. #2359C22semidirect
61. #2358C22semidirect
62. #2358C22semidirect
63. #2358C22semidirect
64. #2358C22semidirect
65. #2358C22semidirect
66. #2358C22semidirect
67. #2345C22semidirect
68. #2345C22semidirect
69. #2345C22semidirect
70. #2342C22semidirect
71. #2342C22semidirect
72. #2342C22semidirect
73. #2342C22semidirect
74. #2342C22semidirect
75. #2342C22semidirect
76. #2342C22semidirect
77. #2342C22semidirect
78. #2342C22semidirect
79. #2342C22semidirect
84. D4×C22⋊C4C22semidirect
85. D4×C22⋊C4C22semidirect
86. D4×C22⋊C4C22semidirect
87. D4×C22⋊C4C22semidirect
88. D4×C22⋊C4C22semidirect
89. D4×C22⋊C4C22semidirect
90. D4×C22⋊C4C22semidirect
91. D4×C22⋊C4C22semidirect
92. D4×C22⋊C4C22semidirect
93. D4×C22⋊C4C22semidirect
94. D4×C22⋊C4C22semidirect
95. #2335C22semidirect
96. #2335C22semidirect
97. #2335C22semidirect
98. #2335C22semidirect
99. #2333C22semidirect
100. #2333C22semidirect
101. #2333C22semidirect
102. #2325C22semidirect
103. #2325C22semidirect
104. #2325C22semidirect
105. #2325C22semidirect
106. #2324C22semidirect
107. #2324C22semidirect
108. #2324C22semidirect
109. #2322C22semidirect
110. #2322C22semidirect
111. #2321C22semidirect
112. #2321C22semidirect
113. #2321C22semidirect
114. #2321C22semidirect
115. #2321C22semidirect
116. #2321C22semidirect
117. #2316C22semidirect
118. #2315C22semidirect
119. #2315C22semidirect
120. #2313C22semidirect
121. #2312C22semidirect
122. #2312C22semidirect
123. #2312C22semidirect
124. #2312C22semidirect
125. #2309C22semidirect
126. #2309C22semidirect
127. #2308C22semidirect
128. #2308C22semidirect
129. #2308C22semidirect
130. C4×#123C22semidirect
131. C4×#123C22semidirect
132. C4×#121C22semidirect
133. C4×#121C22semidirect
134. C4×#121C22semidirect
135. C4×#121C22semidirect
136. C4×#120C22semidirect
137. C4×#120C22semidirect
138. C2×#390C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#386C22semidirect
142. C2×#386C22semidirect
143. C2×#385C22semidirect
144. #2280C22semidirect
145. #2280C22semidirect
146. #2280C22semidirect
147. C2×#381C22semidirect
148. C2×#380C22semidirect
149. C2×#380C22semidirect
152. C2×#379C22semidirect
153. C2×#379C22semidirect
154. #2274C22semidirect
155. #2273C22semidirect
156. #2273C22semidirect
157. C2×C4×C22⋊C4C22semidirect
158. C2×C4×C22⋊C4C22semidirect
159. C2×C4×C22⋊C4C22semidirect
163. C23×D4C2×C4semidirect
178. C24×C4C23semidirect
179. #534C2×C4semidirect
180. #534C2×C4semidirect
181. #534C2×C4semidirect
182. #534C2×C4semidirect
183. #534C2×C4semidirect
184. #534C2×C4semidirect
185. #534C2×C4semidirect
186. C2×#123C2×C4semidirect
195. C2×#121C2×C4semidirect
196. C2×#121C2×C4semidirect
209. C2×#120C2×C4semidirect
225. C2×C4×D4C23semidirect
226. C2×C4×D4C23semidirect
227. C2×C4×D4C23semidirect
228. C2×C4×D4C23semidirect
229. C2×C4×D4C23semidirect
230. C2×C4×D4C23semidirect
231. C2×C4×D4C23semidirect
232. C2×C4×D4C23semidirect
233. C2×C4×D4C23semidirect
234. C2×C4×D4C23semidirect
240. C2×#117C23semidirect
241. C2×#117C23semidirect
242. C2×#117C23semidirect
245. C22×C4⋊C4C23semidirect
246. C22×C4⋊C4C23semidirect
247. C22×C4⋊C4C23semidirect
250. C22×C22⋊C4C2×C4semidirect
277. C22×C22⋊C4C23semidirect
278. C22×C22⋊C4C23semidirect
279. C22×C22⋊C4C23semidirect
280. C22×C22⋊C4C23semidirect
281. C22×C22⋊C4C23semidirect
282. C22×C22⋊C4C23semidirect
283. C22×C42C23semidirect
284. C22×C42C23semidirect
285. C22×C42C23semidirect
290. #390C23semidirect
291. #390C23semidirect
292. #390C23semidirect
293. #390C23semidirect
294. #390C23semidirect
295. #390C23semidirect
296. #390C23semidirect
297. #390C23semidirect
298. #390C23semidirect
299. #390C23semidirect
300. #389C23semidirect
301. #389C23semidirect
302. #389C23semidirect
303. #389C23semidirect
304. #389C23semidirect
305. #389C23semidirect
306. #388C23semidirect
307. #388C23semidirect
308. #388C23semidirect
309. #388C23semidirect
310. #388C23semidirect
311. #388C23semidirect
312. #388C23semidirect
313. #388C23semidirect
314. #388C23semidirect
315. #388C23semidirect
316. #388C23semidirect
317. #388C23semidirect
318. #388C23semidirect
319. #388C23semidirect
320. #388C23semidirect
321. #388C23semidirect
322. #388C23semidirect
323. #388C23semidirect
324. #388C23semidirect
325. #388C23semidirect
326. #388C23semidirect
327. #388C23semidirect
328. #388C23semidirect
329. #388C23semidirect
330. #387C23semidirect
331. #387C23semidirect
332. #387C23semidirect
333. #387C23semidirect
334. #387C23semidirect
335. #387C23semidirect
336. #387C23semidirect
337. #387C23semidirect
346. #386C23semidirect
347. #386C23semidirect
348. #386C23semidirect
349. #386C23semidirect
350. #386C23semidirect
351. #386C23semidirect
352. #386C23semidirect
353. #386C23semidirect
354. #386C23semidirect
355. #386C23semidirect
356. #386C23semidirect
357. #386C23semidirect
358. #386C23semidirect
359. #386C23semidirect
360. #386C23semidirect
361. #386C23semidirect
362. #385C23semidirect
363. #385C23semidirect
364. #385C23semidirect
365. #385C23semidirect
366. #385C23semidirect
367. #385C23semidirect
368. #385C23semidirect
369. #385C23semidirect
370. #385C23semidirect
371. #385C23semidirect
372. #385C23semidirect
373. #385C23semidirect
376. #381C23semidirect
377. #381C23semidirect
378. #381C23semidirect
386. #380C23semidirect
387. #380C23semidirect
388. #380C23semidirect
389. #380C23semidirect
390. #380C23semidirect
391. #380C23semidirect
402. #379C23semidirect
403. #379C23semidirect
404. #379C23semidirect
405. C4×C4⋊C4C23semidirect
406. C4×C4⋊C4C23semidirect
407. C4×C4⋊C4C23semidirect
408. C4×C4⋊C4C23semidirect
409. C4×C4⋊C4C23semidirect
410. C4×C4⋊C4C23semidirect
418. C4×C22⋊C4C23semidirect
419. C4×C22⋊C4C23semidirect
420. C4×C22⋊C4C23semidirect
421. C4×C22⋊C4C23semidirect
422. C4×C22⋊C4C23semidirect
423. C4×C22⋊C4C23semidirect
424. C4×C22⋊C4C23semidirect
425. C4×C22⋊C4C23semidirect
426. C4×C22⋊C4C23semidirect
427. C4×C22⋊C4C23semidirect
428. C4×C22⋊C4C23semidirect
429. C4×C22⋊C4C23semidirect
430. C4×C22⋊C4C23semidirect
431. C4×C22⋊C4C23semidirect
432. C4×C22⋊C4C23semidirect
433. C4×C22⋊C4C23semidirect
434. C4×C22⋊C4C23semidirect
435. C4×C22⋊C4C23semidirect
436. C2×#95C23semidirect
437. C2×#95C23semidirect
438. C2×#95C23semidirect
439. C2×#95C23semidirect
440. C2×#95C23semidirect
441. C2×#95C23semidirect
451. C25C22×C4semidirect
477. C22×D4C22×C4semidirect
478. C22×D4C22×C4semidirect
479. C22×D4C22×C4semidirect
480. C22×D4C22×C4semidirect
481. C22×D4C22×C4semidirect
482. C22×D4C22×C4semidirect
507. C23×C4C22×C4semidirect
508. C23×C4C22×C4semidirect
509. C23×C4C22×C4semidirect
536. #123C22×C4semidirect
537. #123C22×C4semidirect
538. #123C22×C4semidirect
539. #123C22×C4semidirect
540. #123C22×C4semidirect
541. #123C22×C4semidirect
544. #121C22×C4semidirect
545. #121C22×C4semidirect
546. #121C22×C4semidirect
547. #121C22×C4semidirect
548. #121C22×C4semidirect
549. #121C22×C4semidirect
550. #121C22×C4semidirect
551. #121C22×C4semidirect
552. #121C22×C4semidirect
553. #121C22×C4semidirect
556. #120C22×C4semidirect
557. #120C22×C4semidirect
558. #120C22×C4semidirect
559. #120C22×C4semidirect
560. #120C22×C4semidirect
561. #120C22×C4semidirect
586. C2×C4⋊C4C22×C4semidirect
587. C2×C4⋊C4C22×C4semidirect
631. C2×C22⋊C4C22×C4semidirect
632. C2×C22⋊C4C22×C4semidirect
633. C2×C22⋊C4C22×C4semidirect
634. C2×C22⋊C4C22×C4semidirect
635. C2×C22⋊C4C22×C4semidirect
636. C2×C22⋊C4C22×C4semidirect
1042. C23#518semidirect

Maximal subgroups

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

subgroupindex
C22×#5342
#344372
#344082
#344072
#343792
#343762
#343582
#343562
#342732
#342642
#342462
#342382
#342042
#341982
#341762
#341712
C2×#23422
C2×D4×C22⋊C42
C4×#5342