Finite Group Databasebeta

← #10596293⋊C3 #13153714

Subgroups — #10596293⋊C3 #13153714

Order 1728.

1081 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×H(3,𝔽3)C211yesmaximal, characteristic, complemented
2C2×#3828⋊C3C211yesmaximal, characteristic, complemented
3#64159⋊C3C214yesmaximal, complemented
4#64158⋊C3C212yesmaximal, complemented
5#64160⋊C3C212yesmaximal, complemented
6#64151⋊C3C212yesmaximal, complemented
7#64141⋊C3C212yesmaximal, complemented
8C2×#3748⋊C3C211yesmaximal, characteristic, complemented
9#10596293C311yesmaximal, characteristic, complemented
10C3×#5822—31nomaximal
11#41×H(3,𝔽3)—21no—
12#41×H(3,𝔽3)—21no—
13#41×H(3,𝔽3)C2212yes—
14#41×H(3,𝔽3)C2212yescomplemented
15C2×Q8×H(3,𝔽3)C2211yescharacteristic, complemented
16C2×D4×H(3,𝔽3)—21no—
17C2×D4×H(3,𝔽3)C2211yescharacteristic, complemented
18C22×C4×H(3,𝔽3)—21no—
19C22×C4×H(3,𝔽3)C2211yescharacteristic
20C2×#638⋊C3—21no—
21#3828⋊C3—21no—
22#3828⋊C3—21no—
23#3828⋊C3C2212yes—
24#3828⋊C3C2212yescomplemented
25C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic, complemented
26C2×C4×(C3⋊D3)⋊C3—21no—
27C2×#634⋊C3C2211yescharacteristic, complemented
28#3755⋊C3C2214yescomplemented
29#3756⋊C3C2214yescomplemented
30#3753⋊C3C2214yescomplemented
31#3754⋊C3C2214yescomplemented
32#3748⋊C3C2212yescomplemented
33#3748⋊C3C2212yescomplemented
34C2×(C3⋊(C3⋊C8))⋊C3C2212yescomplemented
35C2×C32×#41—21no—
36C2×C32×#41D311yescharacteristic, complemented
37C2×C32×#41C2×C311yescharacteristic, complemented
38C2×#3828C2×C311yescharacteristic, complemented
39C2×C3×#235—31no—
40#64160C2×C312yescomplemented
41#64159C2×C314yescomplemented
42#64158C2×C312yescomplemented
43#64151C2×C312yescomplemented
44#64141C2×C312yescomplemented
45C2×#3748C2×C311yescharacteristic, complemented
46C3×#951—32no—
47C3×#950—34no—
48C3×#949—32no—
49C3×#942—32no—
50C3×#932—32no—
51C2×C3×#208—31no—
52C23×H(3,𝔽3)—21no—
53C23×H(3,𝔽3)D411yescharacteristic
54C22×(C3⋊D3)⋊C3—21no—
55Q8×H(3,𝔽3)—21no—
56Q8×H(3,𝔽3)C2312yes—
57D4×H(3,𝔽3)—22no—
58D4×H(3,𝔽3)—22no—
59D4×H(3,𝔽3)—21no—
60D4×H(3,𝔽3)C2312yes—
61C2×C4×H(3,𝔽3)—21no—
62C2×C4×H(3,𝔽3)—22no—
63C2×C4×H(3,𝔽3)—22no—
64C2×C4×H(3,𝔽3)D411yescharacteristic
65C2×C4×H(3,𝔽3)D411yescharacteristic
66C2×C4×H(3,𝔽3)D411yescharacteristic
67C2×C4×H(3,𝔽3)C2311yescharacteristic
68C2×C4×H(3,𝔽3)C2311yescharacteristic
69C2×C4×H(3,𝔽3)C2311yescharacteristic
70#638⋊C3—22no—
71#638⋊C3—22no—
72C2×(C3⋊Dic3)⋊C3—21no—
73C4⋊((C3⋊D3)⋊C3)—21no—
74C4⋊((C3⋊D3)⋊C3)C2312yes—
75C4×(C3⋊D3)⋊C3—22no—
76C4×(C3⋊D3)⋊C3—22no—
77#634⋊C3—21no—
78#634⋊C3C2312yes—
79(C3⋊(C3⋊C8))⋊C3C2314yes—
80C3×#575—91no—
81#5822—31no—
82#5822—91no—
83C32×#41—22no—
84C32×#41—22no—
85C32×#41—22no—
86C32×#41—22no—
87C32×#41—21no—
88C32×#41—21no—
89C32×#41—21no—
90C32×#41—21no—
91C32×#41C2×D312yes—
92C32×#41C2×D312yescomplemented
93C32×#41C22×C312yes—
94C32×#41C22×C312yescomplemented
95C2×C32×Q8—21no—
96C2×C32×Q8C2×D311yescharacteristic, complemented
97C2×C32×Q8C22×C311yescharacteristic, complemented
98C2×C32×D4—22no—
99C2×C32×D4—21no—
100C2×C32×D4—21no—
101C2×C32×D4—21no—
102C2×C32×D4C2×D311yescharacteristic, complemented
103C2×C32×D4C22×C311yescharacteristic, complemented
104C22×C32×C4—22no—
105C22×C32×C4—21no—
106C22×C32×C4—21no—
107C22×C32×C4—21no—
108C22×C32×C4C2×D311yescharacteristic
109C22×C32×C4C22×C311yescharacteristic
110C2×#638—21no—
111#3828—21no—
112#3828—21no—
113#3828C22×C312yes—
114#3828C22×C312yescomplemented
115C2×C4⋊(C3⋊D3)C22×C311yescharacteristic, complemented
116C2×C4×C3⋊D3—21no—
117C2×#634C22×C311yescharacteristic, complemented
118C2×C3×#67—61no—
119C3×#235—32no—
120C3×#235—32no—
121C3×#235—61no—
122C3×#235—61no—
123C2×C3×D12—31no—
124C2×C3×C4×D3—61no—
125C2×C3×Dic6—31no—
126#3756C22×C314yescomplemented
127#3755C22×C314yescomplemented
128#3754C22×C314yescomplemented
129#3753C22×C314yescomplemented
130#3748C22×C312yescomplemented
131#3748C22×C312yescomplemented
132C2×C3⋊(C3⋊C8)C22×C312yescomplemented
133C3×#216—34no—
134C3×#215—34no—
135C3×#214—34no—
136C3×#213—34no—
137C3×#208—32no—
138C3×#208—32no—
139C2×C3×C3⋊C8—32no—
140C22×H(3,𝔽3)—22no—
141C22×H(3,𝔽3)—41no—
142C22×H(3,𝔽3)—42no—
143C22×H(3,𝔽3)C2×D411yescharacteristic
144C22×H(3,𝔽3)C2×D411yescharacteristic
145C22×H(3,𝔽3)C2×D411yescharacteristic
146C2×(C3⋊D3)⋊C3—22no—
147C2×(C3⋊D3)⋊C3—42no—
148C4×H(3,𝔽3)—22no—
149C4×H(3,𝔽3)C2×D411yescharacteristic
150C4×H(3,𝔽3)C2×D411yescharacteristic
151C4×H(3,𝔽3)C2×D411yescharacteristic
152C4×H(3,𝔽3)C2411yescharacteristic
153(C3⋊Dic3)⋊C3—22no—
154C2×C3×#41—31no—
155C2×C3×#41—31no—
156C2×C3×#41—61no—
157C2×C3×#41—91no—
158C2×C3×#41C3×D311yescharacteristic
159C2×#235—31no—
160C2×#235—91no—
161C3×#137—92no—
162C3×#137—92no—
163C3×AGL(1,ℤ/8)—92no—
164C3×AGL(1,ℤ/8)—92no—
165C3×#135—94no—
166C2×C3×M16—91no—
167#951—32no—
168#951—92no—
169#950—34no—
170#950—94no—
171#949—32no—
172#949—92no—
173#942—32no—
174#942—92no—
175#932—32no—
176#932—92no—
177C2×#208—31no—
178C2×#208—91no—
179C23×C32—22no—
180C23×C32—21no—
181C23×C32—21no—
182C23×C32—21no—
183C23×C32#6711yescharacteristic
184C23×C32C3×D411yescharacteristic
185C22×C3⋊D3—21no—
186C22×C3×D3—61no—
187C32×Q8—22no—
188C32×Q8—21no—
189C32×Q8—21no—
190C32×Q8—22no—
191C32×Q8C22×D312yes—
192C32×Q8C23×C312yes—
193C32×D4—24no—
194C32×D4—24no—
195C32×D4—22no—
196C32×D4—22no—
197C32×D4—22no—
198C32×D4—22no—
199C32×D4—22no—
200C32×D4—21no—
201C32×D4—21no—
202C32×D4—22no—
203C32×D4C22×D312yes—
204C32×D4C23×C312yes—
205C2×C32×C4—22no—
206C2×C32×C4—24no—
207C2×C32×C4—24no—
208C2×C32×C4—21no—
209C2×C32×C4—21no—
210C2×C32×C4—22no—
211C2×C32×C4—22no—
212C2×C32×C4—22no—
213C2×C32×C4—22no—
214C2×C32×C4—21no—
215C2×C32×C4—21no—
216C2×C32×C4—21no—
217C2×C32×C4—21no—
218C2×C32×C4—21no—
219C2×C32×C4—21no—
220C2×C32×C4#6711yescharacteristic
221C2×C32×C4#6711yescharacteristic
222C2×C32×C4#6711yescharacteristic
223C2×C32×C4C3×D411yescharacteristic
224C2×C32×C4C3×D411yescharacteristic
225C2×C32×C4C3×D411yescharacteristic
226C2×C32×C4C22×D311yescharacteristic
227C2×C32×C4C22×D311yescharacteristic
228C2×C32×C4C22×D311yescharacteristic
229C2×C32×C4C23×C311yescharacteristic
230C2×C32×C4C23×C311yescharacteristic
231C2×C32×C4C23×C311yescharacteristic
232#638—22no—
233#638—22no—
234C2×C3⋊Dic3—21no—
235C4⋊(C3⋊D3)—21no—
236C4⋊(C3⋊D3)C23×C312yes—
237C4×C3⋊D3—22no—
238C4×C3⋊D3—22no—
239#634—21no—
240#634C23×C312yes—
241C3×#67—62no—
242C3×#67—62no—
243C2×C3×Dic3—61no—
244C3×D12—32no—
245C3×D12—61no—
246C3×C4×D3—62no—
247C3×C4×D3—62no—
248C3×Dic6—32no—
249C3×Dic6—61no—
250C3⋊(C3⋊C8)C23×C314yes—
251C3×C3⋊C8—34no—
252#575—91noSylow
253C2×H(3,𝔽3)—21no—
254C2×H(3,𝔽3)—21no—
255C2×H(3,𝔽3)—21no—
256C2×H(3,𝔽3)—42no—
257C2×H(3,𝔽3)C22×D411yescharacteristic
258(C3⋊D3)⋊C3—42no—
259C3×#41—21no—
260C3×#41—21no—
261C3×#41—32no—
262C3×#41—32no—
263C3×#41—32no—
264C3×#41—32no—
265C3×#41—61no—
266C3×#41—61no—
267C3×#41—61no—
268C3×#41—61no—
269C3×#41—62no—
270C3×#41—62no—
271C3×#41—62no—
272C3×#41—62no—
273C3×#41—92no—
274C3×#41—92no—
275C3×#41—181no—
276C3×#41—181no—
277C3×#41C2×C3×D312yes—
278C3×#41C2×C3×D312yes—
279C2×C3×Q8—31no—
280C2×C3×Q8—31no—
281C2×C3×Q8—61no—
282C2×C3×Q8—91no—
283C2×C3×Q8C2×C3×D311yescharacteristic
284C2×C3×D4—21no—
285C2×C3×D4—31no—
286C2×C3×D4—31no—
287C2×C3×D4—61no—
288C2×C3×D4—61no—
289C2×C3×D4—62no—
290C2×C3×D4—61no—
291C2×C3×D4—91no—
292C2×C3×D4—181no—
293C2×C3×D4C2×C3×D311yescharacteristic
294C22×C3×C4—21no—
295C22×C3×C4—31no—
296C22×C3×C4—31no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4—62no—
300C22×C3×C4—61no—
301C22×C3×C4—181no—
302C22×C3×C4C2×C3×D311yescharacteristic
303C2×#67—61no—
304C2×#67—181no—
305#235—32no—
306#235—32no—
307#235—61no—
308#235—61no—
309#235—92no—
310#235—92no—
311#235—181no—
312#235—181no—
313C2×D12—31no—
314C2×D12—91no—
315C2×C4×D3—61no—
316C2×C4×D3—181no—
317C2×Dic6—31no—
318C2×Dic6—91no—
319C3×Q16—94no—
320C3×SD16—94no—
321C3×SD16—94no—
322C3×D8—94no—
323C3×M16—92no—
324C3×M16—92no—
325C2×C3×C8—92no—
326#216—34no—
327#216—94no—
328#215—34no—
329#215—94no—
330#214—34no—
331#214—94no—
332#213—34no—
333#213—94no—
334#208—32no—
335#208—32no—
336#208—92no—
337#208—92no—
338C2×C3⋊C8—32no—
339C2×C3⋊C8—92no—
340C22×C32—24no—
341C22×C32—22no—
342C22×C32—22no—
343C22×C32—21no—
344C22×C32—21no—
345C22×C32—21no—
346C22×C32—41no—
347C22×C32—41no—
348C22×C32—42no—
349C22×C32—44no—
350C22×C32—42no—
351C22×C32—42no—
352C22×C32C2×#6711yescharacteristic
353C22×C32C2×#6711yescharacteristic
354C22×C32C2×#6711yescharacteristic
355C22×C32C2×C3×D411yescharacteristic
356C22×C32C2×C3×D411yescharacteristic
357C22×C32C2×C3×D411yescharacteristic
358C2×C3⋊D3—22no—
359C2×C3⋊D3—42no—
360C2×C3×D3—62no—
361C2×C3×D3—122no—
362C32×C4—24no—
363C32×C4—22no—
364C32×C4—22no—
365C32×C4—21no—
366C32×C4—21no—
367C32×C4—21no—
368C32×C4—21no—
369C32×C4C2×#6711yescharacteristic
370C32×C4C2×#6711yescharacteristic
371C32×C4C2×#6711yescharacteristic
372C32×C4C2×C3×D411yescharacteristic
373C32×C4C2×C3×D411yescharacteristic
374C32×C4C2×C3×D411yescharacteristic
375C32×C4C23×D311yescharacteristic
376C32×C4C24×C311yescharacteristic
377C3⋊Dic3—22no—
378C3×Dic3—62no—
379C2×#41—91no—
380C2×#41(C3⋊D3)⋊C311yescharacteristic, complemented
381#137—92no—
382#137—92no—
383AGL(1,ℤ/8)—92no—
384AGL(1,ℤ/8)—92no—
385#135—94no—
386C2×M16—91no—
387H(3,𝔽3)#57511yescharacteristic, complemented, Sylow
388C23×C3—21no—
389C23×C3—31no—
390C23×C3—31no—
391C23×C3—61no—
392C23×C3—61no—
393C23×C3—62no—
394C23×C3—61no—
395C23×C3—181no—
396C23×C3C3×#6711yescharacteristic
397C22×D3—61no—
398C22×D3—181no—
399C3×Q8—21no—
400C3×Q8—32no—
401C3×Q8—32no—
402C3×Q8—61no—
403C3×Q8—61no—
404C3×Q8—62no—
405C3×Q8—62no—
406C3×Q8—92no—
407C3×Q8—181no—
408C3×Q8C22×C3×D312yes—
409C3×D4—22no—
410C3×D4—22no—
411C3×D4—21no—
412C3×D4—32no—
413C3×D4—32no—
414C3×D4—61no—
415C3×D4—61no—
416C3×D4—62no—
417C3×D4—62no—
418C3×D4—62no—
419C3×D4—62no—
420C3×D4—64no—
421C3×D4—64no—
422C3×D4—62no—
423C3×D4—62no—
424C3×D4—92no—
425C3×D4—181no—
426C3×D4—182no—
427C3×D4—182no—
428C3×D4C22×C3×D312yes—
429C2×C3×C4—21no—
430C2×C3×C4—22no—
431C2×C3×C4—22no—
432C2×C3×C4—31no—
433C2×C3×C4—31no—
434C2×C3×C4—31no—
435C2×C3×C4—31no—
436C2×C3×C4—31no—
437C2×C3×C4—31no—
438C2×C3×C4—31no—
439C2×C3×C4—31no—
440C2×C3×C4—31no—
441C2×C3×C4—31no—
442C2×C3×C4—31no—
443C2×C3×C4—31no—
444C2×C3×C4—62no—
445C2×C3×C4—62no—
446C2×C3×C4—62no—
447C2×C3×C4—62no—
448C2×C3×C4—61no—
449C2×C3×C4—61no—
450C2×C3×C4—62no—
451C2×C3×C4—64no—
452C2×C3×C4—64no—
453C2×C3×C4—61no—
454C2×C3×C4—61no—
455C2×C3×C4—61no—
456C2×C3×C4—61no—
457C2×C3×C4—61no—
458C2×C3×C4—61no—
459C2×C3×C4—182no—
460C2×C3×C4—182no—
461C2×C3×C4—181no—
462C2×C3×C4C3×#6711yescharacteristic
463C2×C3×C4C3×#6711yescharacteristic
464C2×C3×C4C3×#6711yescharacteristic
465C2×C3×C4C22×C3×D311yescharacteristic
466C2×C3×C4C22×C3×D311yescharacteristic
467C2×C3×C4C22×C3×D311yescharacteristic
468#67—62no—
469#67—62no—
470#67—182no—
471#67—182no—
472C2×Dic3—61no—
473C2×Dic3—181no—
474D12—32no—
475D12—61no—
476D12—92no—
477D12—181no—
478C4×D3—62no—
479C4×D3—62no—
480C4×D3—182no—
481C4×D3—182no—
482Dic6—32no—
483Dic6—61no—
484Dic6—92no—
485Dic6—181no—
486C3×C8—94no—
487C3⋊C8—34no—
488C3⋊C8—94no—
489C2×C32—22no—
490C2×C32—21no—
491C2×C32—21no—
492C2×C32—21no—
493C2×C32—21no—
494C2×C32—21no—
495C2×C32—21no—
496C2×C32—21no—
497C2×C32—41no—
498C2×C32—41no—
499C2×C32—44no—
500C2×C32—42no—
501C2×C32—42no—
502C2×C32C22×#6711yescharacteristic
503C2×C32C22×C3×D411yescharacteristic
504C3⋊D3—42no—
505C3×D3—122no—
506#41—21no—
507#41—21no—
508#41—92no—
509#41—92no—
510#41—181no—
511#41—181no—
512#41C2×(C3⋊D3)⋊C312yes—
513#41C2×(C3⋊D3)⋊C312yescomplemented
514C2×Q8—91no—
515C2×Q8C2×(C3⋊D3)⋊C311yescharacteristic, complemented
516C2×D4—21no—
517C2×D4—91no—
518C2×D4—181no—
519C2×D4C2×(C3⋊D3)⋊C311yescharacteristic, complemented
520C22×C4—21no—
521C22×C4—181no—
522C22×C4C2×(C3⋊D3)⋊C311yescharacteristic
523Q16—94no—
524SD16—94no—
525SD16—94no—
526D8—94no—
527M16—92no—
528M16—92no—
529C2×C8—92no—
530C22×C3—22no—
531C22×C3—31no—
532C22×C3—31no—
533C22×C3—31no—
534C22×C3—31no—
535C22×C3—31no—
536C22×C3—31no—
537C22×C3—41no—
538C22×C3—42no—
539C22×C3—62no—
540C22×C3—62no—
541C22×C3—64no—
542C22×C3—61no—
543C22×C3—61no—
544C22×C3—61no—
545C22×C3—121no—
546C22×C3—121no—
547C22×C3—122no—
548C22×C3—122no—
549C22×C3—122no—
550C22×C3—124no—
551C22×C3—182no—
552C22×C3—362no—
553C22×C3C2×C3×#6711yescharacteristic
554C22×C3C2×C3×#6711yescharacteristic
555C22×C3C2×C3×#6711yescharacteristic
556C2×D3—62no—
557C2×D3—122no—
558C2×D3—182no—
559C2×D3—362no—
560C3×C4—22no—
561C3×C4—31no—
562C3×C4—31no—
563C3×C4—31no—
564C3×C4—31no—
565C3×C4—31no—
566C3×C4—31no—
567C3×C4—31no—
568C3×C4—31no—
569C3×C4—62no—
570C3×C4—62no—
571C3×C4—64no—
572C3×C4—61no—
573C3×C4—61no—
574C3×C4—61no—
575C3×C4—61no—
576C3×C4—182no—
577C3×C4C2×C3×#6711yescharacteristic
578C3×C4C2×C3×#6711yescharacteristic
579C3×C4C2×C3×#6711yescharacteristic
580C3×C4C23×C3×D311yescharacteristic
581Dic3—62no—
582Dic3—182no—
583C32—21no—
584C32#582211yescharacteristic, complemented
585C32C3×#57511yescharacteristic, complemented
586C23—21no—
587C23—181no—
588C23#638⋊C311yescharacteristic
589Q8—21no—
590Q8—92no—
591Q8—181no—
592Q8C22×(C3⋊D3)⋊C312yes—
593D4—22no—
594D4—22no—
595D4—21no—
596D4—92no—
597D4—182no—
598D4—182no—
599D4—181no—
600D4C22×(C3⋊D3)⋊C312yes—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—181no—
605C2×C4—182no—
606C2×C4—182no—
607C2×C4#638⋊C311yescharacteristic
608C2×C4#638⋊C311yescharacteristic
609C2×C4#638⋊C311yescharacteristic
610C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
611C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
612C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
613C8—94no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—31no—
618C2×C3—31no—
619C2×C3—42no—
620C2×C3—61no—
621C2×C3—61no—
622C2×C3—61no—
623C2×C3—61no—
624C2×C3—61no—
625C2×C3—61no—
626C2×C3—62no—
627C2×C3—61no—
628C2×C3—121no—
629C2×C3—121no—
630C2×C3—122no—
631C2×C3—122no—
632C2×C3—124no—
633C2×C3—362no—
634C2×C3C22×C3×#6711yescharacteristic
635D3—122no—
636D3—362no—
637C22—22no—
638C22—41no—
639C22—42no—
640C22—182no—
641C22—362no—
642C22C2×#638⋊C311yescharacteristic
643C22C2×#638⋊C311yescharacteristic
644C22C2×#638⋊C311yescharacteristic
645C4—22no—
646C4—182no—
647C4C2×#638⋊C311yescharacteristic
648C4C2×#638⋊C311yescharacteristic
649C4C2×#638⋊C311yescharacteristic
650C4C23×(C3⋊D3)⋊C311yescharacteristic
651C3—31no—
652C3—31no—
653C3—61no—
654C3C3×#582211yescharacteristic
655C2—21no—
656C2—21no—
657C2—21no—
658C2—42no—
659C2—362no—
660C2C22×#638⋊C311yescharacteristic
subgroupG/H
centerC4C2×#638⋊C3
commutator, cosocleC32×C4C24×C3
FrattiniC3×C4C23×C3×D3
FittingC2×#41×H(3,𝔽3)C2
socleC2×C3C22×C3×#67
hypercenterC2×#41(C3⋊D3)⋊C3
hypocenterC32C3×#575
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C4 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#41×H(3,𝔽3)C2semidirect
2. C2×#3828⋊C3C2semidirect
3. #64159⋊C3C2semidirect
4. #64158⋊C3C2semidirect
5. #64160⋊C3C2semidirect
6. #64151⋊C3C2semidirect
7. #64141⋊C3C2semidirect
8. C2×#3748⋊C3C2semidirect
9. #10596293C3semidirect
14. #41×H(3,𝔽3)C22semidirect
15. C2×Q8×H(3,𝔽3)C22semidirect
17. C2×D4×H(3,𝔽3)C22semidirect
24. #3828⋊C3C22semidirect
25. C2×C4⋊((C3⋊D3)⋊C3)C22semidirect
27. C2×#634⋊C3C22semidirect
28. #3755⋊C3C22semidirect
29. #3756⋊C3C22semidirect
30. #3753⋊C3C22semidirect
31. #3754⋊C3C22semidirect
32. #3748⋊C3C22semidirect
33. #3748⋊C3C22semidirect
34. C2×(C3⋊(C3⋊C8))⋊C3C22semidirect
36. C2×C32×#41D3semidirect
37. C2×C32×#41C2×C3semidirect
38. C2×#3828C2×C3semidirect
40. #64160C2×C3semidirect
41. #64159C2×C3semidirect
42. #64158C2×C3semidirect
43. #64151C2×C3semidirect
44. #64141C2×C3semidirect
45. C2×#3748C2×C3semidirect
92. C32×#41C2×D3semidirect
94. C32×#41C22×C3semidirect
96. C2×C32×Q8C2×D3semidirect
97. C2×C32×Q8C22×C3semidirect
102. C2×C32×D4C2×D3semidirect
103. C2×C32×D4C22×C3semidirect
114. #3828C22×C3semidirect
115. C2×C4⋊(C3⋊D3)C22×C3semidirect
117. C2×#634C22×C3semidirect
126. #3756C22×C3semidirect
127. #3755C22×C3semidirect
128. #3754C22×C3semidirect
129. #3753C22×C3semidirect
130. #3748C22×C3semidirect
131. #3748C22×C3semidirect
132. C2×C3⋊(C3⋊C8)C22×C3semidirect
380. C2×#41(C3⋊D3)⋊C3semidirect
387. H(3,𝔽3)#575semidirect
513. #41C2×(C3⋊D3)⋊C3semidirect
515. C2×Q8C2×(C3⋊D3)⋊C3semidirect
519. C2×D4C2×(C3⋊D3)⋊C3semidirect
584. C32#5822semidirect
585. C32C3×#575semidirect

Maximal subgroups

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

subgroupindex
C2×#41×H(3,𝔽3)2
C2×#3828⋊C32
#64159⋊C32
#64158⋊C32
#64160⋊C32
#64151⋊C32
#64141⋊C32
C2×#3748⋊C32
#105962933
C3×#58223