Finite Group Databasebeta

← C3×#82836 #11803358

Subgroups — C3×#82836 #11803358

Order 1152.

1435 conjugacy classes of subgroups.

The subgroup lattice has 649 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#123C211yesmaximal, characteristic
2C2×C3×D4×Dic3C211yesmaximal, characteristic
3C22×C3×C4⋊Dic3C211yesmaximal, characteristic, complemented
4C3×#5220C211yesmaximal, characteristic
5C3×#5211C211yesmaximal, characteristic, complemented
6C3×#4984C212yesmaximal, complemented
7C3×#4980C212yesmaximal, complemented
8C3×#4951C212yesmaximal, complemented
9C3×#4950C212yesmaximal, complemented
10C3×#4950C211yesmaximal, characteristic, complemented
11C3×Dic3×C22⋊C4C211yesmaximal, characteristic, complemented
12C3×#2322—31nomaximal
13#82836C311yesmaximal, characteristic, direct product factor
14C22×C32×D4C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C23×C3×Dic3C2211yescharacteristic
19C32×#123C418yescomplemented
20C2×C32×C4⋊C4C2212yes—
21C2×C32×C22⋊C4C2211yescharacteristic
22C2×C32×C22⋊C4C2212yes—
23C2×C3×#217C2211yescharacteristic
24C2×C3×#217C2211yescharacteristic
25C2×C3×#217C2211yescharacteristic
26C2×C3×#217C2212yes—
27C3×D4×Dic3—24no—
28C2×C3×C4⋊Dic3—24no—
29C2×C3×C4⋊Dic3C2212yes—
30C2×C3×C4⋊Dic3C2212yes—
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×C4⋊Dic3C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C2×C3×C4×Dic3C2212yes—
35C3×C3⋊#95C2212yes—
36C3×C3⋊#95C2212yes—
37C3×C3⋊#95C2212yes—
38C3×C3⋊#95C2212yes—
39C3×C3⋊#95C2212yes—
40C2×C3×#123—21no—
41C2×C3×#123D311yescharacteristic
42C2×C3×#123C2×C311yescharacteristic
43C2×C3×C4×D4—31no—
44C22×C3×C4⋊C4—31no—
45C2×D4×Dic3C2×C311yescharacteristic
46C22×C4⋊Dic3C2×C311yescharacteristic, complemented
47C3×#389—32no—
48C3×#388—32no—
49C3×#387—32no—
50C3×#386—31no—
51C3×#385—32no—
52C3×#385—31no—
53C3×#381—31no—
54C3×C4×C22⋊C4—31no—
55#5220C2×C311yescharacteristic
56#5211C2×C311yescharacteristic, complemented
57#4984C2×C312yescomplemented
58#4980C2×C312yescomplemented
59#4951C2×C312yescomplemented
60#4950C2×C312yescomplemented
61#4950C2×C311yescharacteristic, complemented
62Dic3×C22⋊C4C2×C311yescharacteristic, complemented
63C24×C32C2311yescharacteristic
64C24×C32C2311yescharacteristic
65C2×C32×D4—22no—
66C2×C32×D4—22no—
67C2×C32×D4C2×C414yes—
68C22×C32×C4—22no—
69C22×C32×C4—22no—
70C22×C32×C4C2×C414yescomplemented
71C22×C32×C4C2311yescharacteristic
72C22×C32×C4C2312yes—
73C22×C32×C4C2312yes—
74C22×C3×Dic3—22no—
75C22×C3×Dic3—22no—
76C22×C3×Dic3—42no—
77C22×C3×Dic3—42no—
78C22×C3×Dic3—42no—
79C22×C3×Dic3D414yes—
80C22×C3×Dic3C2311yescharacteristic
81C22×C3×Dic3C2312yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2311yescharacteristic
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C32×C4⋊C4C2×C418yescomplemented
87C32×C22⋊C4C2×C414yescomplemented
88C32×C22⋊C4C2×C418yescomplemented
89C3×#217—22no—
90C3×#217—22no—
91C3×#217—22no—
92C3×#217—42no—
93C3×C4⋊Dic3—24no—
94C3×C4⋊Dic3—24no—
95C3×C4⋊Dic3—22no—
96C3×C4⋊Dic3—42no—
97C3×C4×Dic3—22no—
98C3×C4×Dic3—42no—
99#2322—31noSylow
100C22×C3×D4—21no—
101C22×C3×D4C2×D311yescharacteristic
102C22×C3×D4C22×C311yescharacteristic
103C23×C3×C4—21no—
104C23×C3×C4—31no—
105C23×C3×C4—31no—
106C23×C3×C4—31no—
107C23×C3×C4C2×D311yescharacteristic
108C23×C3×C4C22×C311yescharacteristic
109C23×Dic3C22×C311yescharacteristic
110C23×Dic3C22×C311yescharacteristic
111C23×Dic3C22×C311yescharacteristic
112C3×#123—28no—
113C3×#123Dic318yescomplemented
114C3×#123C3×C418yescomplemented
115C3×C4×D4—64no—
116C2×C3×C4⋊C4—22no—
117C2×C3×C4⋊C4—32no—
118C2×C3×C4⋊C4—32no—
119C2×C3×C4⋊C4—31no—
120C2×C3×C4⋊C4—32no—
121C2×C3×C4⋊C4—64no—
122C2×C3×C4⋊C4C2×D312yes—
123C2×C3×C4⋊C4C22×C312yes—
124C2×C3×C22⋊C4—21no—
125C2×C3×C22⋊C4—22no—
126C2×C3×C22⋊C4—31no—
127C2×C3×C22⋊C4—31no—
128C2×C3×C22⋊C4—31no—
129C2×C3×C22⋊C4—32no—
130C2×C3×C22⋊C4C2×D311yescharacteristic
131C2×C3×C22⋊C4C2×D312yes—
132C2×C3×C22⋊C4C22×C311yescharacteristic
133C2×C3×C22⋊C4C22×C312yes—
134C2×C3×C42—31no—
135C2×C3×C42—32no—
136C2×#217C22×C311yescharacteristic
137C2×#217C22×C311yescharacteristic
138C2×#217C22×C311yescharacteristic
139C2×#217C22×C312yes—
140D4×Dic3—24no—
141C2×C4⋊Dic3—24no—
142C2×C4⋊Dic3C22×C312yes—
143C2×C4⋊Dic3C22×C312yes—
144C2×C4⋊Dic3C22×C311yescharacteristic
145C2×C4⋊Dic3C22×C312yes—
146C2×C4×Dic3C22×C311yescharacteristic
147C2×C4×Dic3C22×C312yes—
148C3×#95—32no—
149C3×#95—32no—
150C3×#95—32no—
151C3×#95—32no—
152C3×#95—32no—
153C3⋊#95C22×C312yes—
154C3⋊#95C22×C312yes—
155C3⋊#95C22×C312yes—
156C3⋊#95C22×C312yes—
157C3⋊#95C22×C312yes—
158C23×C32—22no—
159C23×C32—22no—
160C23×C32—21no—
161C23×C32—21no—
162C23×C32—22no—
163C23×C32—22no—
164C23×C32C22×C412yes—
165C23×C32C22×C412yes—
166C23×C32C2×D412yes—
167C23×C32#4112yes—
168C23×C32C2411yescharacteristic
169C32×D4—28no—
170C2×C32×C4—28no—
171C2×C32×C4—21no—
172C2×C32×C4—22no—
173C2×C32×C4—22no—
174C2×C32×C4—21no—
175C2×C32×C4—22no—
176C2×C32×C4—22no—
177C2×C32×C4C22×C414yes—
178C2×C32×C4C22×C414yes—
179C2×C32×C4C22×C412yes—
180C2×C3×Dic3—22no—
181C2×C3×Dic3—22no—
182C2×C3×Dic3—21no—
183C2×C3×Dic3—22no—
184C2×C3×Dic3—21no—
185C2×C3×Dic3—22no—
186C2×C3×Dic3—22no—
187C2×C3×Dic3—22no—
188C2×C3×Dic3—22no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—22no—
191C2×C3×Dic3—22no—
192C2×C3×Dic3—44no—
193C2×C3×Dic3—44no—
194C2×C3×Dic3—44no—
195C2×C3×Dic3C2×D412yes—
196C2×C3×Dic3C2×D412yes—
197C2×#123C3×D311yescharacteristic
198C2×C4×D4—31no—
199C22×C4⋊C4—31no—
200#389—32no—
201#388—32no—
202#387—32no—
203#386—31no—
204#385—32no—
205#385—31no—
206#381—31no—
207C4×C22⋊C4—31no—
208C24×C3—21no—
209C24×C3—21no—
210C24×C3C22×D311yescharacteristic
211C24×C3C22×D311yescharacteristic
212C24×C3C23×C311yescharacteristic
213C24×C3C23×C311yescharacteristic
214C2×C3×D4—22no—
215C2×C3×D4—22no—
216C2×C3×D4—22no—
217C2×C3×D4—22no—
218C2×C3×D4—24no—
219C2×C3×D4—42no—
220C2×C3×D4—42no—
221C2×C3×D4C2×Dic314yes—
222C2×C3×D4C2×C3×C414yes—
223C22×C3×C4—22no—
224C22×C3×C4—22no—
225C22×C3×C4—22no—
226C22×C3×C4—22no—
227C22×C3×C4—24no—
228C22×C3×C4—22no—
229C22×C3×C4—22no—
230C22×C3×C4—21no—
231C22×C3×C4—31no—
232C22×C3×C4—31no—
233C22×C3×C4—34no—
234C22×C3×C4—31no—
235C22×C3×C4—32no—
236C22×C3×C4—31no—
237C22×C3×C4—32no—
238C22×C3×C4—42no—
239C22×C3×C4—42no—
240C22×C3×C4—62no—
241C22×C3×C4—62no—
242C22×C3×C4—122no—
243C22×C3×C4—122no—
244C22×C3×C4—122no—
245C22×C3×C4C2×Dic314yescomplemented
246C22×C3×C4C2×C3×C414yescomplemented
247C22×C3×C4C22×D312yes—
248C22×C3×C4C22×D311yescharacteristic
249C22×C3×C4C22×D312yes—
250C22×C3×C4C23×C312yes—
251C22×C3×C4C23×C311yescharacteristic
252C22×C3×C4C23×C312yes—
253C22×Dic3—22no—
254C22×Dic3—22no—
255C22×Dic3—42no—
256C22×Dic3—42no—
257C22×Dic3—42no—
258C22×Dic3C3×D414yes—
259C22×Dic3C23×C311yescharacteristic
260C22×Dic3C23×C312yes—
261C22×Dic3C23×C312yes—
262C22×Dic3C23×C311yescharacteristic
263C22×Dic3C23×C311yescharacteristic
264C22×Dic3C23×C311yescharacteristic
265C3×C4⋊C4—28no—
266C3×C4⋊C4—64no—
267C3×C4⋊C4—64no—
268C3×C4⋊C4—62no—
269C3×C4⋊C4—122no—
270C3×C4⋊C4C2×Dic318yescomplemented
271C3×C4⋊C4C2×C3×C418yescomplemented
272C3×C22⋊C4—24no—
273C3×C22⋊C4—28no—
274C3×C22⋊C4—62no—
275C3×C22⋊C4—62no—
276C3×C22⋊C4—62no—
277C3×C22⋊C4—122no—
278C3×C22⋊C4C2×Dic314yescomplemented
279C3×C22⋊C4C2×Dic318yescomplemented
280C3×C22⋊C4C2×C3×C414yescomplemented
281C3×C22⋊C4C2×C3×C418yescomplemented
282C3×C42—62no—
283C3×C42—122no—
284#217—22no—
285#217—22no—
286#217—22no—
287#217—42no—
288C4⋊Dic3—24no—
289C4⋊Dic3—24no—
290C4⋊Dic3—22no—
291C4⋊Dic3—42no—
292C4×Dic3—22no—
293C4×Dic3—42no—
294C22×C32—24no—
295C22×C32—22no—
296C22×C32—22no—
297C22×C32—24no—
298C22×C32—22no—
299C22×C32—24no—
300C22×C32—41no—
301C22×C32—41no—
302C22×C32—42no—
303C22×C32C4×D414yes—
304C22×C32C23×C411yescharacteristic
305C22×C32C22×D411yescharacteristic
306C22×C32C2×#4111yescharacteristic
307C22×C32H(5,𝔽2)12yes—
308C22×C322−1+412yes—
309C32×C4—24no—
310C32×C4—22no—
311C32×C4—24no—
312C3×Dic3—22no—
313C3×Dic3—22no—
314C3×Dic3—42no—
315C3×Dic3—41no—
316C3×Dic3—41no—
317C3×Dic3—42no—
318C22×D4C2×C3×D311yescharacteristic
319C23×C4—31no—
320C23×C4—31no—
321C23×C4—31no—
322C23×C4C2×C3×D311yescharacteristic
323#123C3×Dic318yescomplemented
324C4×D4—64no—
325C2×C4⋊C4—32no—
326C2×C4⋊C4—32no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—32no—
329C2×C4⋊C4—64no—
330C2×C4⋊C4C2×C3×D312yes—
331C2×C22⋊C4—31no—
332C2×C22⋊C4—31no—
333C2×C22⋊C4—31no—
334C2×C22⋊C4—32no—
335C2×C22⋊C4C2×C3×D311yescharacteristic
336C2×C22⋊C4C2×C3×D312yes—
337C2×C42—31no—
338C2×C42—32no—
339#95—32no—
340#95—32no—
341#95—32no—
342#95—32no—
343#95—32no—
344C23×C3—22no—
345C23×C3—22no—
346C23×C3—22no—
347C23×C3—22no—
348C23×C3—21no—
349C23×C3—21no—
350C23×C3—22no—
351C23×C3—22no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—22no—
355C23×C3—22no—
356C23×C3—21no—
357C23×C3—22no—
358C23×C3—22no—
359C23×C3—22no—
360C23×C3—22no—
361C23×C3—42no—
362C23×C3—42no—
363C23×C3—41no—
364C23×C3—41no—
365C23×C3—42no—
366C23×C3—42no—
367C23×C3D3×D412yes—
368C23×C3#23712yes—
369C23×C3C22×Dic312yes—
370C23×C3C22×Dic312yes—
371C23×C3C22×C3×C412yes—
372C23×C3C22×C3×C412yes—
373C23×C3C2×C3×D412yes—
374C23×C3C3×#4112yes—
375C23×C3C23×D311yescharacteristic
376C23×C3C24×C311yescharacteristic
377C3×D4—28no—
378C3×D4—28no—
379C3×D4—48no—
380C2×C3×C4—28no—
381C2×C3×C4—28no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—21no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—21no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—21no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—24no—
395C2×C3×C4—24no—
396C2×C3×C4—22no—
397C2×C3×C4—32no—
398C2×C3×C4—32no—
399C2×C3×C4—42no—
400C2×C3×C4—42no—
401C2×C3×C4—48no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—62no—
407C2×C3×C4—62no—
408C2×C3×C4—61no—
409C2×C3×C4—61no—
410C2×C3×C4—62no—
411C2×C3×C4—62no—
412C2×C3×C4—62no—
413C2×C3×C4—62no—
414C2×C3×C4—62no—
415C2×C3×C4—62no—
416C2×C3×C4—62no—
417C2×C3×C4—62no—
418C2×C3×C4—124no—
419C2×C3×C4—124no—
420C2×C3×C4—124no—
421C2×C3×C4C22×Dic314yes—
422C2×C3×C4C22×Dic314yes—
423C2×C3×C4C22×Dic312yes—
424C2×C3×C4C22×C3×C414yes—
425C2×C3×C4C22×C3×C414yes—
426C2×C3×C4C22×C3×C412yes—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—21no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—22no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—44no—
440C2×Dic3—44no—
441C2×Dic3—44no—
442C2×Dic3C2×C3×D412yes—
443C2×Dic3C2×C3×D412yes—
444C2×C32—24no—
445C2×C32—42no—
446C2×C32C2×C4×D411yescharacteristic
447C2×C32#52012yes—
448C2×C32#53411yescharacteristic
449C2×C32#53611yescharacteristic
450C2×C32#53912yes—
451C24C22×C3×D311yescharacteristic
452C24C22×C3×D311yescharacteristic
453C2×D4—22no—
454C2×D4—22no—
455C2×D4C2×C3×Dic314yes—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—31no—
459C22×C4—31no—
460C22×C4—34no—
461C22×C4—31no—
462C22×C4—32no—
463C22×C4—31no—
464C22×C4—32no—
465C22×C4—62no—
466C22×C4—62no—
467C22×C4—122no—
468C22×C4—122no—
469C22×C4—122no—
470C22×C4C2×C3×Dic314yescomplemented
471C22×C4C22×C3×D312yes—
472C22×C4C22×C3×D311yescharacteristic
473C22×C4C22×C3×D312yes—
474C4⋊C4—64no—
475C4⋊C4—64no—
476C4⋊C4—62no—
477C4⋊C4—122no—
478C4⋊C4C2×C3×Dic318yescomplemented
479C22⋊C4—62no—
480C22⋊C4—62no—
481C22⋊C4—62no—
482C22⋊C4—122no—
483C22⋊C4C2×C3×Dic314yescomplemented
484C22⋊C4C2×C3×Dic318yescomplemented
485C42—62no—
486C42—122no—
487C22×C3—22no—
488C22×C3—22no—
489C22×C3—24no—
490C22×C3—24no—
491C22×C3—24no—
492C22×C3—22no—
493C22×C3—22no—
494C22×C3—24no—
495C22×C3—22no—
496C22×C3—24no—
497C22×C3—22no—
498C22×C3—24no—
499C22×C3—24no—
500C22×C3—21no—
501C22×C3—21no—
502C22×C3—22no—
503C22×C3—22no—
504C22×C3—21no—
505C22×C3—44no—
506C22×C3—42no—
507C22×C3—42no—
508C22×C3—44no—
509C22×C3—42no—
510C22×C3—44no—
511C22×C3—41no—
512C22×C3—41no—
513C22×C3—42no—
514C22×C3—41no—
515C22×C3—41no—
516C22×C3—42no—
517C22×C3—81no—
518C22×C3—81no—
519C22×C3—82no—
520C22×C3D4×Dic314yes—
521C22×C3C3×C4×D414yes—
522C22×C3C2×D3×D411yescharacteristic
523C22×C3C2×#23711yescharacteristic
524C22×C3#100912yes—
525C22×C3#101012yes—
526C22×C3C23×Dic311yescharacteristic
527C22×C3C23×C3×C411yescharacteristic
528C22×C3C22×C3×D411yescharacteristic
529C22×C3C2×C3×#4111yescharacteristic
530C22×C3C3×H(5,𝔽2)12yes—
531C22×C3C3×2−1+412yes—
532C3×C4—24no—
533C3×C4—22no—
534C3×C4—24no—
535C3×C4—24no—
536C3×C4—22no—
537C3×C4—24no—
538C3×C4—44no—
539C3×C4—42no—
540C3×C4—44no—
541C3×C4—62no—
542C3×C4—62no—
543C3×C4—121no—
544C3×C4—121no—
545C3×C4—122no—
546C3×C4—122no—
547Dic3—22no—
548Dic3—22no—
549Dic3—42no—
550Dic3—41no—
551Dic3—41no—
552Dic3—42no—
553C32#232211yescharacteristic, complemented, Sylow
554C23—22no—
555C23—22no—
556C23—21no—
557C23—21no—
558C23—22no—
559C23—22no—
560C23C3×D3×D412yes—
561C23C3×#23712yes—
562C23C22×C3×Dic312yes—
563C23C22×C3×Dic312yes—
564C23C23×C3×D311yescharacteristic
565D4—28no—
566C2×C4—28no—
567C2×C4—21no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—32no—
574C2×C4—32no—
575C2×C4—62no—
576C2×C4—62no—
577C2×C4—61no—
578C2×C4—61no—
579C2×C4—62no—
580C2×C4—62no—
581C2×C4—62no—
582C2×C4—62no—
583C2×C4—62no—
584C2×C4—62no—
585C2×C4—62no—
586C2×C4—62no—
587C2×C4—124no—
588C2×C4—124no—
589C2×C4—124no—
590C2×C4C22×C3×Dic314yes—
591C2×C4C22×C3×Dic314yes—
592C2×C4C22×C3×Dic312yes—
593C2×C3—24no—
594C2×C3—24no—
595C2×C3—21no—
596C2×C3—22no—
597C2×C3—21no—
598C2×C3—21no—
599C2×C3—22no—
600C2×C3—44no—
601C2×C3—42no—
602C2×C3—42no—
603C2×C3—82no—
604C2×C3#564811yescharacteristic
605C2×C3#565311yescharacteristic
606C2×C3#566512yes—
607C2×C3C2×D4×Dic311yescharacteristic
608C2×C3#582712yes—
609C2×C3C2×C3×C4×D411yescharacteristic
610C2×C3C3×#52012yes—
611C2×C3C3×#53411yescharacteristic
612C2×C3C3×#53611yescharacteristic
613C2×C3C3×#53912yes—
614C22—24no—
615C22—22no—
616C22—22no—
617C22—24no—
618C22—22no—
619C22—24no—
620C22—41no—
621C22—41no—
622C22—42no—
623C22C3×D4×Dic314yes—
624C22C2×C3×D3×D411yescharacteristic
625C22C2×C3×#23711yescharacteristic
626C22C3×#100912yes—
627C22C3×#101012yes—
628C22C23×C3×Dic311yescharacteristic
629C4—24no—
630C4—22no—
631C4—24no—
632C4—62no—
633C4—62no—
634C4—121no—
635C4—121no—
636C4—122no—
637C4—122no—
638C3—21no—
639C3#8283611yescharacteristic, direct product factor
640C3C3×#232211yescharacteristic, complemented
641C2—24no—
642C2—42no—
643C2C3×#564811yescharacteristic
644C2C3×#565311yescharacteristic
645C2C3×#566512yes—
646C2C2×C3×D4×Dic311yescharacteristic
647C2C3×#582712yes—
subgroupG/H
centerC23×C3C23×D3
commutatorC22×C3C23×C3×C4
FrattiniC23C23×C3×D3
FittingC2×C32×#123C2
socleC23×C32C24
prime radicalC22×C32×D4C22
cosocleC23×C3C24×C3
hypercenterC2×C3×#123D3
hypocenterC3C3×#2322
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C3 ◁ C2×C3×#123

Complements

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

NH ≅ G/Ntype
3. C22×C3×C4⋊Dic3C2semidirect
5. C3×#5211C2semidirect
6. C3×#4984C2semidirect
7. C3×#4980C2semidirect
8. C3×#4951C2semidirect
9. C3×#4950C2semidirect
10. C3×#4950C2semidirect
11. C3×Dic3×C22⋊C4C2semidirect
13. #82836C3direct (N × H)
19. C32×#123C4semidirect
46. C22×C4⋊Dic3C2×C3semidirect
56. #5211C2×C3semidirect
57. #4984C2×C3semidirect
58. #4980C2×C3semidirect
59. #4951C2×C3semidirect
60. #4950C2×C3semidirect
61. #4950C2×C3semidirect
62. Dic3×C22⋊C4C2×C3semidirect
70. C22×C32×C4C2×C4semidirect
86. C32×C4⋊C4C2×C4semidirect
87. C32×C22⋊C4C2×C4semidirect
88. C32×C22⋊C4C2×C4semidirect
113. C3×#123Dic3semidirect
114. C3×#123C3×C4semidirect
245. C22×C3×C4C2×Dic3semidirect
246. C22×C3×C4C2×C3×C4semidirect
270. C3×C4⋊C4C2×Dic3semidirect
271. C3×C4⋊C4C2×C3×C4semidirect
278. C3×C22⋊C4C2×Dic3semidirect
279. C3×C22⋊C4C2×Dic3semidirect
280. C3×C22⋊C4C2×C3×C4semidirect
281. C3×C22⋊C4C2×C3×C4semidirect
323. #123C3×Dic3semidirect
470. C22×C4C2×C3×Dic3semidirect
478. C4⋊C4C2×C3×Dic3semidirect
483. C22⋊C4C2×C3×Dic3semidirect
484. C22⋊C4C2×C3×Dic3semidirect
553. C32#2322semidirect
639. C3#82836direct (N × H)
640. C3C3×#2322semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#1232
C2×C3×D4×Dic32
C22×C3×C4⋊Dic32
C3×#52202
C3×#52112
C3×#49842
C3×#49802
C3×#49512
C3×#49502
C3×Dic3×C22⋊C42
C3×#23223
#828363