Finite Group Databasebeta

← C3×#22476 #10641083

Subgroups — C3×#22476 #10641083

Order 768.

1696 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×C3×#546C211yesmaximal, characteristic
2C3×D4×C22⋊C4C212yesmaximal, complemented
3C3×#1996C212yesmaximal, complemented
4C3×#1898C214yesmaximal, complemented
5C3×#1819C212yesmaximal, complemented
6C3×#1799C211yesmaximal, characteristic, complemented
7C3×C4×#99C211yesmaximal, characteristic, complemented
8C2×C3×#342C212yesmaximal, complemented
9#22476C311yesmaximal, characteristic, direct product factor, Sylow
10C22×C3×#41C411yescharacteristic, complemented
11C23×C3×D4C2211yescharacteristic
12C3×#546—22no—
13C3×#546—24no—
14C3×#546—22no—
15C2×C3×#124C411yescharacteristic, complemented
16C2×C3×#123C412yescomplemented
17C2×C3×C22⋊Q8C2211yescharacteristic
18C2×C3×#121C411yescharacteristic, complemented
19C2×C3×#121C412yescomplemented
20C2×C3×#120C2212yes—
21C2×C3×C4×D4—22no—
22C2×C3×C4×D4C411yescharacteristic, complemented
23C2×C3×C4×D4C2211yescharacteristic
24C22×C3×C22⋊C4C2212yes—
25C22×C3×C22⋊C4C2214yes—
26C2×C3×#99C2212yes—
27C2×C3×#99C2212yes—
28C3×#390—22no—
29C3×#386—24no—
30C3×#380C2212yes—
31C3×#379C2214yes—
32C3×C4×C22⋊C4C2212yes—
33C3×#342C2211yescharacteristic
34C3×#342C2214yes—
35C3×#342C2212yes—
36C3×#342C2214yes—
37C3×#342C2211yescharacteristic
38C2×#546C2×C311yescharacteristic
39D4×C22⋊C4C2×C312yescomplemented
40#1996C2×C312yescomplemented
41#1898C2×C314yescomplemented
42#1819C2×C312yescomplemented
43#1799C2×C311yescharacteristic, complemented
44C4×#99C2×C311yescharacteristic, complemented
45C2×#342C2×C312yescomplemented
46C25×C3C2312yes—
47C2×C3×#41—21no—
48C2×C3×#41—22no—
49C2×C3×#41—21no—
50C2×C3×#41—44no—
51C22×C3×Q8C2×C411yescharacteristic, complemented
52C22×C3×D4—44no—
53C22×C3×D4C2×C411yescharacteristic
54C22×C3×D4C2×C412yes—
55C22×C3×D4C2×C411yescharacteristic
56C22×C3×D4C2×C412yescomplemented
57C22×C3×D4C2×C412yescomplemented
58C22×C3×D4D412yes—
59C22×C3×D4D414yes—
60C22×C3×D4D412yes—
61C22×C3×D4C2311yescharacteristic
62C23×C3×C4—24no—
63C23×C3×C4C2×C412yescomplemented
64C23×C3×C4C2×C411yescharacteristic, complemented
65C23×C3×C4C2×C412yescomplemented
66C23×C3×C4C2311yescharacteristic
67C3×#124—22no—
68C3×#124—22no—
69C3×#123—24no—
70C3×#123—24no—
71C3×C22⋊Q8—22no—
72C3×C22⋊Q8—22no—
73C3×#121—22no—
74C3×#121—22no—
75C3×#121—24no—
76C3×#121—24no—
77C3×#120—24no—
78C3×#120—24no—
79C3×C4×D4—22no—
80C3×C4×D4—21no—
81C3×C4×D4—21no—
82C3×C4×D4—22no—
83C3×C4×D4—22no—
84C3×C4×D4—48no—
85C2×C3×C4⋊C4—22no—
86C2×C3×C4⋊C4C2×C411yescharacteristic, complemented
87C2×C3×C4⋊C4C2×C411yescharacteristic, complemented
88C2×C3×C4⋊C4C2×C412yescomplemented
89C2×C3×C22⋊C4—24no—
90C2×C3×C22⋊C4—24no—
91C2×C3×C22⋊C4—28no—
92C2×C3×C22⋊C4—24no—
93C2×C3×C22⋊C4—24no—
94C2×C3×C22⋊C4—24no—
95C2×C3×C22⋊C4—44no—
96C2×C3×C22⋊C4C2×C412yescomplemented
97C2×C3×C22⋊C4C2×C412yescomplemented
98C2×C3×C22⋊C4C2×C412yescomplemented
99C2×C3×C22⋊C4C2×C411yescharacteristic, complemented
100C2×C3×C22⋊C4C2×C412yescomplemented
101C2×C3×C22⋊C4C2312yes—
102C2×C3×C22⋊C4C2314yes—
103C2×C3×C22⋊C4C2311yescharacteristic
104C2×C3×C22⋊C4C2312yes—
105C2×C3×C22⋊C4C2312yes—
106C2×C3×C42—22no—
107C2×C3×C42C2×C411yescharacteristic, complemented
108C3×#99—24no—
109C3×#99—42no—
110C3×#95—22no—
111C3×#95—22no—
112C22×#41C3×C411yescharacteristic, complemented
113C23×D4C22×C311yescharacteristic
114#546—22no—
115#546—24no—
116#546—22no—
117C2×#124C3×C411yescharacteristic, complemented
118C2×#123C3×C412yescomplemented
119C2×C22⋊Q8C22×C311yescharacteristic
120C2×#121C3×C411yescharacteristic, complemented
121C2×#121C3×C412yescomplemented
122C2×#120C22×C312yes—
123C2×C4×D4—22no—
124C2×C4×D4C3×C411yescharacteristic, complemented
125C2×C4×D4C22×C311yescharacteristic
126C22×C22⋊C4C22×C312yes—
127C22×C22⋊C4C22×C314yes—
128C2×#99C22×C312yes—
129C2×#99C22×C312yes—
130#390—22no—
131#386—24no—
132#380C22×C312yes—
133#379C22×C314yes—
134C4×C22⋊C4C22×C312yes—
135#342C22×C312yes—
136#342C22×C311yescharacteristic
137#342C22×C314yes—
138#342C22×C314yes—
139#342C22×C311yescharacteristic
140C24×C3—24no—
141C24×C3—22no—
142C24×C3—22no—
143C24×C3—44no—
144C24×C3—82no—
145C24×C3C22×C412yes—
146C24×C3C22×C411yescharacteristic
147C24×C3C22×C412yes—
148C24×C3C2×D414yes—
149C24×C3C2×D414yes—
150C24×C3C2411yescharacteristic
151C3×#41—48no—
152C3×#41—44no—
153C3×#41—44no—
154C2×C3×Q8—21no—
155C2×C3×Q8—21no—
156C2×C3×Q8—42no—
157C2×C3×D4—28no—
158C2×C3×D4—24no—
159C2×C3×D4—22no—
160C2×C3×D4—22no—
161C2×C3×D4—22no—
162C2×C3×D4—22no—
163C2×C3×D4—21no—
164C2×C3×D4—21no—
165C2×C3×D4—24no—
166C2×C3×D4—42no—
167C2×C3×D4—44no—
168C2×C3×D4—44no—
169C2×C3×D4—48no—
170C2×C3×D4—44no—
171C2×C3×D4—82no—
172C2×C3×D4C22⋊C412yes—
173C2×C3×D4C22⋊C411yescharacteristic
174C2×C3×D4C22⋊C414yes—
175C2×C3×D4C22⋊C412yes—
176C2×C3×D4C22⋊C414yes—
177C2×C3×D4C22⋊C412yes—
178C2×C3×D4C22⋊C411yescharacteristic
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—21no—
185C22×C3×C4—21no—
186C22×C3×C4—22no—
187C22×C3×C4—24no—
188C22×C3×C4—42no—
189C22×C3×C4—42no—
190C22×C3×C4—48no—
191C22×C3×C4—44no—
192C22×C3×C4—48no—
193C22×C3×C4—84no—
194C22×C3×C4—82no—
195C22×C3×C4C22×C411yescharacteristic
196C22×C3×C4C22×C411yescharacteristic
197C22×C3×C4C22×C411yescharacteristic
198C22×C3×C4C22×C412yes—
199C22×C3×C4C22×C411yescharacteristic
200C22×C3×C4C22×C412yes—
201C22×C3×C4C22×C411yescharacteristic
202C22×C3×C4C2×D412yes—
203C22×C3×C4C2×D412yes—
204C3×C4⋊C4—21no—
205C3×C4⋊C4—21no—
206C3×C4⋊C4—22no—
207C3×C4⋊C4—24no—
208C3×C4⋊C4—44no—
209C3×C22⋊C4—24no—
210C3×C22⋊C4—24no—
211C3×C22⋊C4—22no—
212C3×C22⋊C4—22no—
213C3×C22⋊C4—24no—
214C3×C22⋊C4—22no—
215C3×C22⋊C4—24no—
216C3×C22⋊C4—22no—
217C3×C22⋊C4—22no—
218C3×C22⋊C4—22no—
219C3×C22⋊C4—24no—
220C3×C22⋊C4—24no—
221C3×C22⋊C4—22no—
222C3×C22⋊C4—48no—
223C3×C22⋊C4—48no—
224C3×C22⋊C4—84no—
225C3×C22⋊C4#4114yescomplemented
226C3×C42—21no—
227C3×C42—21no—
228C3×C42—44no—
229C25C23×C312yes—
230C2×#41—21no—
231C2×#41—22no—
232C2×#41—21no—
233C2×#41—44no—
234C22×Q8C2×C3×C411yescharacteristic, complemented
235C22×D4—44no—
236C22×D4C2×C3×C411yescharacteristic
237C22×D4C2×C3×C412yes—
238C22×D4C2×C3×C411yescharacteristic
239C22×D4C2×C3×C412yescomplemented
240C22×D4C2×C3×C412yescomplemented
241C22×D4C3×D412yes—
242C22×D4C3×D414yes—
243C22×D4C3×D412yes—
244C22×D4C23×C311yescharacteristic
245C23×C4—24no—
246C23×C4C2×C3×C412yescomplemented
247C23×C4C2×C3×C411yescharacteristic, complemented
248C23×C4C2×C3×C412yescomplemented
249C23×C4C23×C311yescharacteristic
250#124—22no—
251#124—22no—
252#123—24no—
253#123—24no—
254C22⋊Q8—22no—
255C22⋊Q8—22no—
256#121—22no—
257#121—22no—
258#121—24no—
259#121—24no—
260#120—24no—
261#120—24no—
262C4×D4—22no—
263C4×D4—21no—
264C4×D4—21no—
265C4×D4—22no—
266C4×D4—22no—
267C4×D4—48no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4C2×C3×C411yescharacteristic, complemented
270C2×C4⋊C4C2×C3×C411yescharacteristic, complemented
271C2×C4⋊C4C2×C3×C412yescomplemented
272C2×C22⋊C4—24no—
273C2×C22⋊C4—24no—
274C2×C22⋊C4—28no—
275C2×C22⋊C4—24no—
276C2×C22⋊C4—24no—
277C2×C22⋊C4—24no—
278C2×C22⋊C4—44no—
279C2×C22⋊C4C2×C3×C412yescomplemented
280C2×C22⋊C4C2×C3×C412yescomplemented
281C2×C22⋊C4C2×C3×C412yescomplemented
282C2×C22⋊C4C2×C3×C411yescharacteristic, complemented
283C2×C22⋊C4C2×C3×C412yescomplemented
284C2×C22⋊C4C23×C314yes—
285C2×C22⋊C4C23×C312yes—
286C2×C22⋊C4C23×C311yescharacteristic
287C2×C22⋊C4C23×C312yes—
288C2×C22⋊C4C23×C312yes—
289C2×C42—22no—
290C2×C42C2×C3×C411yescharacteristic, complemented
291#99—24no—
292#99—42no—
293#95—22no—
294#95—22no—
295C23×C3—22no—
296C23×C3—22no—
297C23×C3—24no—
298C23×C3—24no—
299C23×C3—28no—
300C23×C3—24no—
301C23×C3—22no—
302C23×C3—22no—
303C23×C3—24no—
304C23×C3—24no—
305C23×C3—21no—
306C23×C3—21no—
307C23×C3—21no—
308C23×C3—41no—
309C23×C3—42no—
310C23×C3—44no—
311C23×C3—41no—
312C23×C3—44no—
313C23×C3—42no—
314C23×C3—44no—
315C23×C3—42no—
316C23×C3—41no—
317C23×C3—41no—
318C23×C3—88no—
319C23×C3—84no—
320C23×C3—84no—
321C23×C3C2×C22⋊C414yes—
322C23×C3C2×C22⋊C412yes—
323C23×C3C2×C22⋊C412yes—
324C23×C3C23×C411yescharacteristic
325C23×C3C22×D412yes—
326C23×C3C2×#4112yes—
327C23×C3H(5,𝔽2)11yescharacteristic
328C23×C32−1+411yescharacteristic
329C3×Q8—42no—
330C3×Q8—42no—
331C3×D4—28no—
332C3×D4—24no—
333C3×D4—24no—
334C3×D4—22no—
335C3×D4—42no—
336C3×D4—44no—
337C3×D4—44no—
338C3×D4—42no—
339C3×D4—42no—
340C3×D4—44no—
341C3×D4—84no—
342C3×D4#9914yescomplemented
343C2×C3×C4—24no—
344C2×C3×C4—22no—
345C2×C3×C4—21no—
346C2×C3×C4—21no—
347C2×C3×C4—22no—
348C2×C3×C4—21no—
349C2×C3×C4—22no—
350C2×C3×C4—21no—
351C2×C3×C4—21no—
352C2×C3×C4—24no—
353C2×C3×C4—41no—
354C2×C3×C4—42no—
355C2×C3×C4—42no—
356C2×C3×C4—42no—
357C2×C3×C4—44no—
358C2×C3×C4—42no—
359C2×C3×C4—44no—
360C2×C3×C4—42no—
361C2×C3×C4—41no—
362C2×C3×C4—42no—
363C2×C3×C4—41no—
364C2×C3×C4—42no—
365C2×C3×C4—42no—
366C2×C3×C4—44no—
367C2×C3×C4—42no—
368C2×C3×C4—44no—
369C2×C3×C4—44no—
370C2×C3×C4—42no—
371C2×C3×C4—82no—
372C2×C3×C4—82no—
373C2×C3×C4—816no—
374C2×C3×C4C2×C22⋊C411yescharacteristic
375C2×C3×C4C2×C22⋊C412yes—
376C2×C3×C4C2×C22⋊C411yescharacteristic
377C24—24no—
378C24—22no—
379C24—22no—
380C24—44no—
381C24—82no—
382C24C22×C3×C412yes—
383C24C22×C3×C411yescharacteristic
384C24C22×C3×C412yes—
385C24C2×C3×D414yes—
386C24C2×C3×D414yes—
387C24C24×C311yescharacteristic
388#41—48no—
389#41—44no—
390#41—44no—
391C2×Q8—21no—
392C2×Q8—21no—
393C2×Q8—42no—
394C2×D4—28no—
395C2×D4—24no—
396C2×D4—22no—
397C2×D4—22no—
398C2×D4—22no—
399C2×D4—22no—
400C2×D4—21no—
401C2×D4—21no—
402C2×D4—24no—
403C2×D4—42no—
404C2×D4—44no—
405C2×D4—44no—
406C2×D4—48no—
407C2×D4—44no—
408C2×D4—82no—
409C2×D4C3×C22⋊C412yes—
410C2×D4C3×C22⋊C411yescharacteristic
411C2×D4C3×C22⋊C414yes—
412C2×D4C3×C22⋊C412yes—
413C2×D4C3×C22⋊C414yes—
414C2×D4C3×C22⋊C412yes—
415C2×D4C3×C22⋊C411yescharacteristic
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—24no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—48no—
428C22×C4—44no—
429C22×C4—48no—
430C22×C4—84no—
431C22×C4—82no—
432C22×C4C22×C3×C411yescharacteristic
433C22×C4C22×C3×C411yescharacteristic
434C22×C4C22×C3×C411yescharacteristic
435C22×C4C22×C3×C412yes—
436C22×C4C22×C3×C411yescharacteristic
437C22×C4C22×C3×C412yes—
438C22×C4C22×C3×C411yescharacteristic
439C22×C4C2×C3×D412yes—
440C22×C4C2×C3×D412yes—
441C4⋊C4—21no—
442C4⋊C4—21no—
443C4⋊C4—22no—
444C4⋊C4—24no—
445C4⋊C4—44no—
446C22⋊C4—24no—
447C22⋊C4—24no—
448C22⋊C4—22no—
449C22⋊C4—22no—
450C22⋊C4—24no—
451C22⋊C4—22no—
452C22⋊C4—24no—
453C22⋊C4—22no—
454C22⋊C4—22no—
455C22⋊C4—22no—
456C22⋊C4—24no—
457C22⋊C4—24no—
458C22⋊C4—22no—
459C22⋊C4—48no—
460C22⋊C4—48no—
461C22⋊C4—84no—
462C22⋊C4C3×#4114yescomplemented
463C42—21no—
464C42—21no—
465C42—44no—
466C22×C3—22no—
467C22×C3—22no—
468C22×C3—21no—
469C22×C3—22no—
470C22×C3—21no—
471C22×C3—22no—
472C22×C3—22no—
473C22×C3—24no—
474C22×C3—22no—
475C22×C3—24no—
476C22×C3—22no—
477C22×C3—24no—
478C22×C3—42no—
479C22×C3—41no—
480C22×C3—41no—
481C22×C3—48no—
482C22×C3—48no—
483C22×C3—44no—
484C22×C3—44no—
485C22×C3—41no—
486C22×C3—41no—
487C22×C3—41no—
488C22×C3—84no—
489C22×C3—84no—
490C22×C3—82no—
491C22×C3—82no—
492C22×C3—81no—
493C22×C3—81no—
494C22×C3C2×#9914yes—
495C22×C3C22×C22⋊C411yescharacteristic
496C22×C3C4×#4111yescharacteristic
497C22×C3#52011yescharacteristic
498C22×C3#54612yes—
499C22×C3#54712yes—
500C3×C4—21no—
501C3×C4—22no—
502C3×C4—44no—
503C3×C4—41no—
504C3×C4—41no—
505C3×C4—42no—
506C3×C4—41no—
507C3×C4—42no—
508C3×C4—82no—
509C3×C4—84no—
510C3×C4C2×#9912yes—
511C23—28no—
512C23—24no—
513C23—22no—
514C23—22no—
515C23—24no—
516C23—24no—
517C23—22no—
518C23—22no—
519C23—24no—
520C23—24no—
521C23—21no—
522C23—21no—
523C23—21no—
524C23—41no—
525C23—42no—
526C23—44no—
527C23—41no—
528C23—44no—
529C23—42no—
530C23—44no—
531C23—42no—
532C23—41no—
533C23—41no—
534C23—88no—
535C23—84no—
536C23—84no—
537C23C2×C3×C22⋊C414yes—
538C23C2×C3×C22⋊C412yes—
539C23C2×C3×C22⋊C412yes—
540C23C23×C3×C411yescharacteristic
541C23C22×C3×D412yes—
542C23C2×C3×#4112yes—
543C23C3×H(5,𝔽2)11yescharacteristic
544C23C3×2−1+411yescharacteristic
545Q8—42no—
546Q8—42no—
547D4—24no—
548D4—28no—
549D4—22no—
550D4—24no—
551D4—42no—
552D4—44no—
553D4—44no—
554D4—44no—
555D4—42no—
556D4—42no—
557D4—84no—
558D4C3×#9914yescomplemented
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—24no—
569C2×C4—41no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—44no—
574C2×C4—42no—
575C2×C4—44no—
576C2×C4—42no—
577C2×C4—41no—
578C2×C4—42no—
579C2×C4—41no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—44no—
583C2×C4—42no—
584C2×C4—44no—
585C2×C4—44no—
586C2×C4—42no—
587C2×C4—82no—
588C2×C4—82no—
589C2×C4—816no—
590C2×C4C2×C3×C22⋊C411yescharacteristic
591C2×C4C2×C3×C22⋊C412yes—
592C2×C4C2×C3×C22⋊C411yescharacteristic
593C2×C3—22no—
594C2×C3—22no—
595C2×C3—21no—
596C2×C3—21no—
597C2×C3—24no—
598C2×C3—42no—
599C2×C3—44no—
600C2×C3—81no—
601C2×C3#233911yescharacteristic
602C2×C3C22×#9911yescharacteristic
603C2×C3#288311yescharacteristic
604C22—22no—
605C22—21no—
606C22—22no—
607C22—21no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—24no—
612C22—22no—
613C22—24no—
614C22—22no—
615C22—24no—
616C22—42no—
617C22—41no—
618C22—41no—
619C22—48no—
620C22—48no—
621C22—44no—
622C22—44no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—84no—
627C22—84no—
628C22—82no—
629C22—82no—
630C22—81no—
631C22—81no—
632C22C2×C3×#9914yes—
633C22C22×C3×C22⋊C411yescharacteristic
634C22C3×C4×#4111yescharacteristic
635C22C3×#52011yescharacteristic
636C22C3×#54612yes—
637C22C3×#54712yes—
638C4—21no—
639C4—22no—
640C4—44no—
641C4—41no—
642C4—42no—
643C4—41no—
644C4—42no—
645C4—41no—
646C4—84no—
647C4—82no—
648C4C2×C3×#9912yes—
649C3#2247611yescharacteristic, direct product factor, Sylow
650C2—22no—
651C2—22no—
652C2—21no—
653C2—21no—
654C2—24no—
655C2—42no—
656C2—44no—
657C2—81no—
658C2C3×#233911yescharacteristic
659C2C22×C3×#9911yescharacteristic
660C2C3×#288311yescharacteristic
subgroupG/H
center, socleC22×C3C22×C22⋊C4
commutatorC23C23×C3×C4
Frattini, cosocleC24C24×C3
prime radicalC2×C3×#546C2
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C23×C3×D4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×D4×C22⋊C4C2semidirect
3. C3×#1996C2semidirect
4. C3×#1898C2semidirect
5. C3×#1819C2semidirect
6. C3×#1799C2semidirect
7. C3×C4×#99C2semidirect
8. C2×C3×#342C2semidirect
9. #22476C3direct (N × H)
10. C22×C3×#41C4semidirect
15. C2×C3×#124C4semidirect
16. C2×C3×#123C4semidirect
18. C2×C3×#121C4semidirect
19. C2×C3×#121C4semidirect
22. C2×C3×C4×D4C4semidirect
39. D4×C22⋊C4C2×C3semidirect
40. #1996C2×C3semidirect
41. #1898C2×C3semidirect
42. #1819C2×C3semidirect
43. #1799C2×C3semidirect
44. C4×#99C2×C3semidirect
45. C2×#342C2×C3semidirect
51. C22×C3×Q8C2×C4semidirect
56. C22×C3×D4C2×C4semidirect
57. C22×C3×D4C2×C4semidirect
63. C23×C3×C4C2×C4semidirect
64. C23×C3×C4C2×C4semidirect
65. C23×C3×C4C2×C4semidirect
86. C2×C3×C4⋊C4C2×C4semidirect
87. C2×C3×C4⋊C4C2×C4semidirect
88. C2×C3×C4⋊C4C2×C4semidirect
96. C2×C3×C22⋊C4C2×C4semidirect
97. C2×C3×C22⋊C4C2×C4semidirect
98. C2×C3×C22⋊C4C2×C4semidirect
99. C2×C3×C22⋊C4C2×C4semidirect
100. C2×C3×C22⋊C4C2×C4semidirect
107. C2×C3×C42C2×C4semidirect
112. C22×#41C3×C4semidirect
117. C2×#124C3×C4semidirect
118. C2×#123C3×C4semidirect
120. C2×#121C3×C4semidirect
121. C2×#121C3×C4semidirect
124. C2×C4×D4C3×C4semidirect
225. C3×C22⋊C4#41semidirect
234. C22×Q8C2×C3×C4semidirect
239. C22×D4C2×C3×C4semidirect
240. C22×D4C2×C3×C4semidirect
246. C23×C4C2×C3×C4semidirect
247. C23×C4C2×C3×C4semidirect
248. C23×C4C2×C3×C4semidirect
269. C2×C4⋊C4C2×C3×C4semidirect
270. C2×C4⋊C4C2×C3×C4semidirect
271. C2×C4⋊C4C2×C3×C4semidirect
279. C2×C22⋊C4C2×C3×C4semidirect
280. C2×C22⋊C4C2×C3×C4semidirect
281. C2×C22⋊C4C2×C3×C4semidirect
282. C2×C22⋊C4C2×C3×C4semidirect
283. C2×C22⋊C4C2×C3×C4semidirect
290. C2×C42C2×C3×C4semidirect
342. C3×D4#99semidirect
462. C22⋊C4C3×#41semidirect
558. D4C3×#99semidirect
649. C3#22476direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5462
C3×D4×C22⋊C42
C3×#19962
C3×#18982
C3×#18192
C3×#17992
C3×C4×#992
C2×C3×#3422
#224763