Finite Group Databasebeta

← C3×#393929 #72253761

Subgroups — C3×#393929 #72253761

Order 1536.

12952 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#534C211yesmaximal, characteristic, complemented
2C2×C3×#2403C212yesmaximal, complemented
3C2×C3×#2021C214yesmaximal, complemented
4C2×C3×#1781C212yesmaximal, complemented
5C3×#13867C211yesmaximal, characteristic, complemented
6C3×#10995C214yesmaximal, complemented
7C3×#10725C211yesmaximal, characteristic, complemented
8#393929C311yesmaximal, characteristic, direct product factor, Sylow
9C24×C3×D4C2212yes—
10C24×C3×D4C2211yescharacteristic
11C2×C3×#534—216no—
12C2×C3×#534—22no—
13C2×C3×#534—24no—
14C2×C3×#534C2214yes—
15C22×C3×#123—22no—
16C22×C3×#121—22no—
17C22×C3×#120—22no—
18C22×C3×#120—22no—
19C22×C3×#120C2214yescomplemented
20C23×C3×C22⋊C4C2211yescharacteristic
21C22×C3×#99C2218yescomplemented
22C3×#2403—28no—
23C3×#2403—28no—
24C2×C3×#392—24no—
25C2×C3×#386—22no—
26C2×C3×#386—22no—
27C2×C3×#386C2214yescomplemented
28C2×C3×#379C2211yescharacteristic
29C2×C3×#379C2212yes—
30C2×C3×#379C2212yescomplemented
31C3×#2021—216no—
32C3×#1781—28no—
33C2×C3×#342C2214yescomplemented
34C3×#1438—22no—
35C3×C22⋊#95C2212yescomplemented
36C22×#534C2×C311yescharacteristic, complemented
37C2×#2403C2×C312yescomplemented
38C2×#2021C2×C314yescomplemented
39C2×#1781C2×C312yescomplemented
40#13867C2×C311yescharacteristic, complemented
41#10995C2×C314yescomplemented
42#10725C2×C311yescharacteristic, complemented
43C26×C3D412yescomplemented
44C26×C3C2311yescharacteristic
45C26×C3C2311yescharacteristic
46C23×C3×D4—22no—
47C23×C3×D4—216no—
48C23×C3×D4—22no—
49C23×C3×D4—22no—
50C23×C3×D4—22no—
51C23×C3×D4—22no—
52C23×C3×D4—22no—
53C23×C3×D4—21no—
54C23×C3×D4—22no—
55C23×C3×D4—24no—
56C23×C3×D4—24no—
57C23×C3×D4—24no—
58C23×C3×D4—24no—
59C23×C3×D4—21no—
60C23×C3×D4—24no—
61C23×C3×D4—22no—
62C23×C3×D4—24no—
63C23×C3×D4—48no—
64C23×C3×D4—48no—
65C23×C3×D4D414yescomplemented
66C23×C3×D4D414yescomplemented
67C23×C3×D4C2314yes—
68C24×C3×C4D412yescomplemented
69C24×C3×C4D412yescomplemented
70C24×C3×C4C2311yescharacteristic
71C3×#534—232no—
72C3×#534—232no—
73C3×#534—232no—
74C3×#534—216no—
75C3×#534—28no—
76C3×#534D4116yescomplemented
77C2×C3×#123—232no—
78C2×C3×#123—28no—
79C2×C3×#123—28no—
80C2×C3×#121—28no—
81C2×C3×#121—232no—
82C2×C3×#121—28no—
83C2×C3×#120—28no—
84C2×C3×#120—232no—
85C2×C3×#120—216no—
86C2×C3×#120—28no—
87C2×C3×#120—216no—
88C2×C3×#120—28no—
89C2×C3×#120—28no—
90C2×C3×#120—48no—
91C2×C3×#120—416no—
92C22×C3×C4⋊C4—22no—
93C22×C3×C22⋊C4—24no—
94C22×C3×C22⋊C4—28no—
95C22×C3×C22⋊C4—24no—
96C22×C3×C22⋊C4—24no—
97C22×C3×C22⋊C4—22no—
98C22×C3×C22⋊C4—22no—
99C22×C3×C22⋊C4—24no—
100C22×C3×C22⋊C4—22no—
101C22×C3×C22⋊C4—22no—
102C22×C3×C22⋊C4—21no—
103C22×C3×C22⋊C4—21no—
104C22×C3×C22⋊C4D412yescomplemented
105C22×C3×C22⋊C4C2312yes—
106C22×C3×C22⋊C4C2314yes—
107C22×C3×C22⋊C4C2312yes—
108C2×C3×#99—216no—
109C2×C3×#99—216no—
110C2×C3×#99—48no—
111C3×#392—232no—
112C3×#386—216no—
113C3×#386—28no—
114C3×#386—28no—
115C3×#386—48no—
116C3×#379—28no—
117C3×#379—24no—
118C3×#379—24no—
119C3×#379D418yescomplemented
120C2×C3×#95—24no—
121C2×C3×#95—24no—
122C3×#342—28no—
123C24×D4C22×C312yes—
124C24×D4C22×C311yescharacteristic
125C2×#534—24no—
126C2×#534—216no—
127C2×#534—22no—
128C2×#534C22×C314yes—
129C22×#123—22no—
130C22×#121—22no—
131C22×#120—22no—
132C22×#120—22no—
133C22×#120C22×C314yescomplemented
134C23×C22⋊C4C22×C311yescharacteristic
135C22×#99C22×C318yescomplemented
136#2403—28no—
137#2403—28no—
138C2×#392—24no—
139C2×#386—22no—
140C2×#386—22no—
141C2×#386C22×C314yescomplemented
142C2×#379C22×C311yescharacteristic
143C2×#379C22×C312yes—
144C2×#379C22×C312yescomplemented
145#2021—216no—
146#1781—28no—
147C2×#342C22×C314yescomplemented
148#1438—22no—
149C22⋊#95C22×C312yescomplemented
150C25×C3—24no—
151C25×C3—24no—
152C25×C3—22no—
153C25×C3—22no—
154C25×C3—21no—
155C25×C3—22no—
156C25×C3—28no—
157C25×C3—24no—
158C25×C3—22no—
159C25×C3—21no—
160C25×C3—24no—
161C25×C3—24no—
162C25×C3—24no—
163C25×C3—44no—
164C25×C3—44no—
165C25×C3—44no—
166C25×C3—48no—
167C25×C3—82no—
168C25×C3—82no—
169C25×C3—84no—
170C25×C3C2×D412yes—
171C25×C3C2×D411yescharacteristic
172C25×C3C2×D414yes—
173C25×C3C2×D412yes—
174C25×C3C2×D411yescharacteristic
175C25×C3C2×D412yes—
176C25×C3C2×D414yes—
177C25×C3C2×D412yescomplemented
178C25×C3#4112yes—
179C25×C3C2411yescharacteristic
180C22×C3×D4—216no—
181C22×C3×D4—216no—
182C22×C3×D4—216no—
183C22×C3×D4—216no—
184C22×C3×D4—28no—
185C22×C3×D4—216no—
186C22×C3×D4—28no—
187C22×C3×D4—24no—
188C22×C3×D4—24no—
189C22×C3×D4—28no—
190C22×C3×D4—24no—
191C22×C3×D4—24no—
192C22×C3×D4—24no—
193C22×C3×D4—24no—
194C22×C3×D4—24no—
195C22×C3×D4—24no—
196C22×C3×D4—28no—
197C22×C3×D4—24no—
198C22×C3×D4—28no—
199C22×C3×D4—28no—
200C22×C3×D4—216no—
201C22×C3×D4—28no—
202C22×C3×D4—28no—
203C22×C3×D4—28no—
204C22×C3×D4—28no—
205C22×C3×D4—24no—
206C22×C3×D4—216no—
207C22×C3×D4—28no—
208C22×C3×D4—44no—
209C22×C3×D4—44no—
210C22×C3×D4—44no—
211C22×C3×D4—48no—
212C22×C3×D4—416no—
213C22×C3×D4—432no—
214C22×C3×D4—432no—
215C22×C3×D4—432no—
216C22×C3×D4—432no—
217C22×C3×D4—432no—
218C22×C3×D4—416no—
219C22×C3×D4—48no—
220C22×C3×D4—48no—
221C22×C3×D4—48no—
222C22×C3×D4—48no—
223C22×C3×D4—48no—
224C22×C3×D4—44no—
225C22×C3×D4—44no—
226C22×C3×D4—48no—
227C22×C3×D4—42no—
228C22×C3×D4—41no—
229C22×C3×D4—41no—
230C22×C3×D4—44no—
231C22×C3×D4—44no—
232C22×C3×D4—44no—
233C22×C3×D4—44no—
234C22×C3×D4—44no—
235C22×C3×D4—44no—
236C22×C3×D4—44no—
237C22×C3×D4—44no—
238C22×C3×D4—42no—
239C22×C3×D4—42no—
240C22×C3×D4—44no—
241C22×C3×D4—44no—
242C22×C3×D4—416no—
243C22×C3×D4—48no—
244C22×C3×D4—48no—
245C22×C3×D4—84no—
246C22×C3×D4—84no—
247C22×C3×D4—88no—
248C22×C3×D4C2×D4116yes—
249C23×C3×C4—22no—
250C23×C3×C4—22no—
251C23×C3×C4—22no—
252C23×C3×C4—21no—
253C23×C3×C4—22no—
254C23×C3×C4—22no—
255C23×C3×C4—28no—
256C23×C3×C4—28no—
257C23×C3×C4—24no—
258C23×C3×C4—24no—
259C23×C3×C4—22no—
260C23×C3×C4—24no—
261C23×C3×C4—21no—
262C23×C3×C4—22no—
263C23×C3×C4—44no—
264C23×C3×C4—44no—
265C23×C3×C4—44no—
266C23×C3×C4—82no—
267C23×C3×C4C2×D414yes—
268C23×C3×C4C2×D414yes—
269C23×C3×C4C2×D412yescomplemented
270C3×#123—264no—
271C3×#123—232no—
272C3×#123—232no—
273C3×#121—264no—
274C3×#121—232no—
275C3×#121—232no—
276C3×#120—264no—
277C3×#120—232no—
278C3×#120—232no—
279C3×#120—432no—
280C3×#120—432no—
281C3×#120—464no—
282C2×C3×C4⋊C4—216no—
283C2×C3×C4⋊C4—28no—
284C2×C3×C22⋊C4—216no—
285C2×C3×C22⋊C4—216no—
286C2×C3×C22⋊C4—232no—
287C2×C3×C22⋊C4—216no—
288C2×C3×C22⋊C4—24no—
289C2×C3×C22⋊C4—24no—
290C2×C3×C22⋊C4—24no—
291C2×C3×C22⋊C4—28no—
292C2×C3×C22⋊C4—28no—
293C2×C3×C22⋊C4—28no—
294C2×C3×C22⋊C4—216no—
295C2×C3×C22⋊C4—216no—
296C2×C3×C22⋊C4—28no—
297C2×C3×C22⋊C4—24no—
298C2×C3×C22⋊C4—24no—
299C2×C3×C22⋊C4—24no—
300C2×C3×C22⋊C4—24no—
301C2×C3×C22⋊C4—28no—
302C2×C3×C22⋊C4—416no—
303C2×C3×C22⋊C4—48no—
304C2×C3×C22⋊C4—48no—
305C2×C3×C22⋊C4—48no—
306C2×C3×C22⋊C4—48no—
307C2×C3×C22⋊C4—44no—
308C2×C3×C22⋊C4—42no—
309C2×C3×C22⋊C4—42no—
310C2×C3×C22⋊C4—48no—
311C2×C3×C22⋊C4—84no—
312C2×C3×C22⋊C4—84no—
313C2×C3×C22⋊C4—82no—
314C2×C3×C22⋊C4C2×D418yes—
315C2×C3×C22⋊C4C2×D418yescomplemented
316C3×#99—432no—
317C3×#95—216no—
318C3×#95—48no—
319C26C3×D412yescomplemented
320C26C23×C311yescharacteristic
321C26C23×C311yescharacteristic
322C23×D4—22no—
323C23×D4—22no—
324C23×D4—22no—
325C23×D4—22no—
326C23×D4—22no—
327C23×D4—21no—
328C23×D4—22no—
329C23×D4—216no—
330C23×D4—22no—
331C23×D4—24no—
332C23×D4—24no—
333C23×D4—24no—
334C23×D4—21no—
335C23×D4—24no—
336C23×D4—24no—
337C23×D4—22no—
338C23×D4—24no—
339C23×D4—48no—
340C23×D4—48no—
341C23×D4C3×D414yescomplemented
342C23×D4C3×D414yescomplemented
343C23×D4C23×C314yes—
344C24×C4C3×D412yescomplemented
345C24×C4C3×D412yescomplemented
346C24×C4C23×C311yescharacteristic
347#534—232no—
348#534—232no—
349#534—232no—
350#534—216no—
351#534—28no—
352#534C3×D4116yescomplemented
353C2×#123—232no—
354C2×#123—28no—
355C2×#123—28no—
356C2×#121—28no—
357C2×#121—232no—
358C2×#121—28no—
359C2×#120—232no—
360C2×#120—28no—
361C2×#120—28no—
362C2×#120—216no—
363C2×#120—28no—
364C2×#120—28no—
365C2×#120—216no—
366C2×#120—48no—
367C2×#120—416no—
368C22×C4⋊C4—22no—
369C22×C22⋊C4—24no—
370C22×C22⋊C4—22no—
371C22×C22⋊C4—22no—
372C22×C22⋊C4—28no—
373C22×C22⋊C4—24no—
374C22×C22⋊C4—22no—
375C22×C22⋊C4—24no—
376C22×C22⋊C4—22no—
377C22×C22⋊C4—21no—
378C22×C22⋊C4—24no—
379C22×C22⋊C4—21no—
380C22×C22⋊C4C3×D412yescomplemented
381C22×C22⋊C4C23×C312yes—
382C22×C22⋊C4C23×C314yes—
383C22×C22⋊C4C23×C312yes—
384C2×#99—216no—
385C2×#99—216no—
386C2×#99—48no—
387#392—232no—
388#386—216no—
389#386—28no—
390#386—28no—
391#386—48no—
392#379—24no—
393#379—24no—
394#379—28no—
395#379C3×D418yescomplemented
396C2×#95—24no—
397C2×#95—24no—
398#342—28no—
399C24×C3—24no—
400C24×C3—22no—
401C24×C3—24no—
402C24×C3—22no—
403C24×C3—28no—
404C24×C3—24no—
405C24×C3—22no—
406C24×C3—24no—
407C24×C3—24no—
408C24×C3—22no—
409C24×C3—28no—
410C24×C3—216no—
411C24×C3—28no—
412C24×C3—28no—
413C24×C3—24no—
414C24×C3—28no—
415C24×C3—28no—
416C24×C3—24no—
417C24×C3—24no—
418C24×C3—24no—
419C24×C3—22no—
420C24×C3—24no—
421C24×C3—24no—
422C24×C3—24no—
423C24×C3—24no—
424C24×C3—28no—
425C24×C3—42no—
426C24×C3—44no—
427C24×C3—42no—
428C24×C3—42no—
429C24×C3—42no—
430C24×C3—44no—
431C24×C3—44no—
432C24×C3—48no—
433C24×C3—44no—
434C24×C3—44no—
435C24×C3—42no—
436C24×C3—44no—
437C24×C3—416no—
438C24×C3—416no—
439C24×C3—48no—
440C24×C3—48no—
441C24×C3—44no—
442C24×C3—42no—
443C24×C3—44no—
444C24×C3—44no—
445C24×C3—48no—
446C24×C3—44no—
447C24×C3—44no—
448C24×C3—48no—
449C24×C3—48no—
450C24×C3—416no—
451C24×C3—42no—
452C24×C3—44no—
453C24×C3—41no—
454C24×C3—42no—
455C24×C3—41no—
456C24×C3—44no—
457C24×C3—42no—
458C24×C3—44no—
459C24×C3—44no—
460C24×C3—48no—
461C24×C3—48no—
462C24×C3—44no—
463C24×C3—84no—
464C24×C3—84no—
465C24×C3—88no—
466C24×C3—82no—
467C24×C3—84no—
468C24×C3—82no—
469C24×C3—82no—
470C24×C3—816no—
471C24×C3—816no—
472C24×C3—816no—
473C24×C3—816no—
474C24×C3—832no—
475C24×C3—88no—
476C24×C3—84no—
477C24×C3—82no—
478C24×C3—832no—
479C24×C3—88no—
480C24×C3#12012yes—
481C24×C3#12011yescharacteristic
482C24×C3#12014yes—
483C24×C3#12011yescharacteristic
484C24×C3#12014yes—
485C24×C3#12018yescomplemented
486C24×C3#12114yes—
487C24×C3#12112yes—
488C24×C3#12112yes—
489C24×C3#12114yes—
490C24×C3#12712yes—
491C24×C3#12712yes—
492C24×C3C22×D412yes—
493C24×C3C22×D411yescharacteristic
494C24×C3C22×D414yes—
495C24×C3C22×D411yescharacteristic
496C24×C3C22×D412yes—
497C24×C3C2×#4111yescharacteristic
498C24×C3H(5,𝔽2)14yes—
499C2×C3×D4—216no—
500C2×C3×D4—232no—
501C2×C3×D4—216no—
502C2×C3×D4—216no—
503C2×C3×D4—216no—
504C2×C3×D4—216no—
505C2×C3×D4—216no—
506C2×C3×D4—216no—
507C2×C3×D4—216no—
508C2×C3×D4—216no—
509C2×C3×D4—232no—
510C2×C3×D4—416no—
511C2×C3×D4—416no—
512C2×C3×D4—416no—
513C2×C3×D4—48no—
514C2×C3×D4—416no—
515C2×C3×D4—416no—
516C2×C3×D4—416no—
517C2×C3×D4—48no—
518C2×C3×D4—432no—
519C2×C3×D4—432no—
520C2×C3×D4—432no—
521C2×C3×D4—432no—
522C2×C3×D4—432no—
523C2×C3×D4—432no—
524C2×C3×D4—432no—
525C2×C3×D4—432no—
526C2×C3×D4—416no—
527C2×C3×D4—416no—
528C2×C3×D4—48no—
529C2×C3×D4—432no—
530C2×C3×D4—48no—
531C2×C3×D4—48no—
532C2×C3×D4—48no—
533C2×C3×D4—416no—
534C2×C3×D4—432no—
535C2×C3×D4—416no—
536C2×C3×D4—44no—
537C2×C3×D4—44no—
538C2×C3×D4—44no—
539C2×C3×D4—44no—
540C2×C3×D4—48no—
541C2×C3×D4—48no—
542C2×C3×D4—48no—
543C2×C3×D4—48no—
544C2×C3×D4—48no—
545C2×C3×D4—48no—
546C2×C3×D4—48no—
547C2×C3×D4—48no—
548C2×C3×D4—48no—
549C2×C3×D4—44no—
550C2×C3×D4—44no—
551C2×C3×D4—48no—
552C2×C3×D4—432no—
553C2×C3×D4—432no—
554C2×C3×D4—832no—
555C2×C3×D4—88no—
556C2×C3×D4—88no—
557C2×C3×D4—816no—
558C2×C3×D4—832no—
559C2×C3×D4—832no—
560C22×C3×C4—24no—
561C22×C3×C4—28no—
562C22×C3×C4—28no—
563C22×C3×C4—28no—
564C22×C3×C4—28no—
565C22×C3×C4—24no—
566C22×C3×C4—24no—
567C22×C3×C4—24no—
568C22×C3×C4—24no—
569C22×C3×C4—24no—
570C22×C3×C4—24no—
571C22×C3×C4—22no—
572C22×C3×C4—24no—
573C22×C3×C4—24no—
574C22×C3×C4—28no—
575C22×C3×C4—24no—
576C22×C3×C4—28no—
577C22×C3×C4—44no—
578C22×C3×C4—416no—
579C22×C3×C4—416no—
580C22×C3×C4—48no—
581C22×C3×C4—44no—
582C22×C3×C4—44no—
583C22×C3×C4—44no—
584C22×C3×C4—42no—
585C22×C3×C4—44no—
586C22×C3×C4—44no—
587C22×C3×C4—41no—
588C22×C3×C4—42no—
589C22×C3×C4—41no—
590C22×C3×C4—44no—
591C22×C3×C4—44no—
592C22×C3×C4—44no—
593C22×C3×C4—44no—
594C22×C3×C4—44no—
595C22×C3×C4—48no—
596C22×C3×C4—48no—
597C22×C3×C4—44no—
598C22×C3×C4—44no—
599C22×C3×C4—44no—
600C22×C3×C4—44no—
601C22×C3×C4—42no—
602C22×C3×C4—42no—
603C22×C3×C4—42no—
604C22×C3×C4—816no—
605C22×C3×C4—82no—
606C22×C3×C4—82no—
607C22×C3×C4#12018yescomplemented
608C22×C3×C4#12018yescomplemented
609C3×C4⋊C4—232no—
610C3×C22⋊C4—216no—
611C3×C22⋊C4—264no—
612C3×C22⋊C4—216no—
613C3×C22⋊C4—216no—
614C3×C22⋊C4—432no—
615C3×C22⋊C4—432no—
616C3×C22⋊C4—416no—
617C3×C22⋊C4—48no—
618C3×C22⋊C4—48no—
619C3×C22⋊C4—88no—
620C3×C22⋊C4—816no—
621C3×C22⋊C4—84no—
622C3×C22⋊C4—84no—
623C25—24no—
624C25—24no—
625C25—22no—
626C25—21no—
627C25—22no—
628C25—22no—
629C25—28no—
630C25—24no—
631C25—22no—
632C25—21no—
633C25—24no—
634C25—24no—
635C25—24no—
636C25—44no—
637C25—44no—
638C25—44no—
639C25—48no—
640C25—82no—
641C25—82no—
642C25—84no—
643C25C2×C3×D412yes—
644C25C2×C3×D411yescharacteristic
645C25C2×C3×D414yes—
646C25C2×C3×D412yes—
647C25C2×C3×D411yescharacteristic
648C25C2×C3×D412yes—
649C25C2×C3×D414yes—
650C25C2×C3×D412yescomplemented
651C25C3×#4112yes—
652C25C24×C311yescharacteristic
653C22×D4—216no—
654C22×D4—216no—
655C22×D4—216no—
656C22×D4—216no—
657C22×D4—216no—
658C22×D4—28no—
659C22×D4—24no—
660C22×D4—28no—
661C22×D4—24no—
662C22×D4—28no—
663C22×D4—24no—
664C22×D4—24no—
665C22×D4—24no—
666C22×D4—24no—
667C22×D4—24no—
668C22×D4—28no—
669C22×D4—24no—
670C22×D4—24no—
671C22×D4—28no—
672C22×D4—28no—
673C22×D4—216no—
674C22×D4—28no—
675C22×D4—28no—
676C22×D4—28no—
677C22×D4—28no—
678C22×D4—24no—
679C22×D4—216no—
680C22×D4—28no—
681C22×D4—44no—
682C22×D4—44no—
683C22×D4—44no—
684C22×D4—48no—
685C22×D4—416no—
686C22×D4—432no—
687C22×D4—432no—
688C22×D4—432no—
689C22×D4—432no—
690C22×D4—432no—
691C22×D4—416no—
692C22×D4—44no—
693C22×D4—48no—
694C22×D4—48no—
695C22×D4—48no—
696C22×D4—48no—
697C22×D4—48no—
698C22×D4—44no—
699C22×D4—48no—
700C22×D4—44no—
701C22×D4—44no—
702C22×D4—42no—
703C22×D4—41no—
704C22×D4—41no—
705C22×D4—44no—
706C22×D4—44no—
707C22×D4—44no—
708C22×D4—44no—
709C22×D4—44no—
710C22×D4—44no—
711C22×D4—44no—
712C22×D4—44no—
713C22×D4—42no—
714C22×D4—42no—
715C22×D4—416no—
716C22×D4—48no—
717C22×D4—48no—
718C22×D4—84no—
719C22×D4—84no—
720C22×D4—88no—
721C22×D4C2×C3×D4116yes—
722C23×C4—22no—
723C23×C4—22no—
724C23×C4—22no—
725C23×C4—22no—
726C23×C4—21no—
727C23×C4—22no—
728C23×C4—28no—
729C23×C4—28no—
730C23×C4—24no—
731C23×C4—24no—
732C23×C4—24no—
733C23×C4—22no—
734C23×C4—21no—
735C23×C4—22no—
736C23×C4—44no—
737C23×C4—44no—
738C23×C4—44no—
739C23×C4—82no—
740C23×C4C2×C3×D414yes—
741C23×C4C2×C3×D414yes—
742C23×C4C2×C3×D412yescomplemented
743#123—264no—
744#123—232no—
745#123—232no—
746#121—264no—
747#121—232no—
748#121—232no—
749#120—264no—
750#120—232no—
751#120—232no—
752#120—432no—
753#120—432no—
754#120—464no—
755C2×C4⋊C4—216no—
756C2×C4⋊C4—28no—
757C2×C22⋊C4—216no—
758C2×C22⋊C4—216no—
759C2×C22⋊C4—232no—
760C2×C22⋊C4—216no—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—24no—
763C2×C22⋊C4—24no—
764C2×C22⋊C4—28no—
765C2×C22⋊C4—28no—
766C2×C22⋊C4—28no—
767C2×C22⋊C4—216no—
768C2×C22⋊C4—216no—
769C2×C22⋊C4—28no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—28no—
775C2×C22⋊C4—416no—
776C2×C22⋊C4—48no—
777C2×C22⋊C4—48no—
778C2×C22⋊C4—48no—
779C2×C22⋊C4—48no—
780C2×C22⋊C4—44no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—48no—
784C2×C22⋊C4—84no—
785C2×C22⋊C4—84no—
786C2×C22⋊C4—82no—
787C2×C22⋊C4C2×C3×D418yes—
788C2×C22⋊C4C2×C3×D418yescomplemented
789#99—432no—
790#95—216no—
791#95—48no—
792C23×C3—21no—
793C23×C3—21no—
794C23×C3—22no—
795C23×C3—24no—
796C23×C3—22no—
797C23×C3—22no—
798C23×C3—24no—
799C23×C3—22no—
800C23×C3—21no—
801C23×C3—22no—
802C23×C3—21no—
803C23×C3—28no—
804C23×C3—24no—
805C23×C3—28no—
806C23×C3—24no—
807C23×C3—22no—
808C23×C3—24no—
809C23×C3—22no—
810C23×C3—24no—
811C23×C3—28no—
812C23×C3—24no—
813C23×C3—24no—
814C23×C3—28no—
815C23×C3—28no—
816C23×C3—24no—
817C23×C3—28no—
818C23×C3—24no—
819C23×C3—28no—
820C23×C3—24no—
821C23×C3—28no—
822C23×C3—28no—
823C23×C3—28no—
824C23×C3—41no—
825C23×C3—42no—
826C23×C3—41no—
827C23×C3—44no—
828C23×C3—44no—
829C23×C3—48no—
830C23×C3—41no—
831C23×C3—42no—
832C23×C3—41no—
833C23×C3—48no—
834C23×C3—42no—
835C23×C3—42no—
836C23×C3—44no—
837C23×C3—42no—
838C23×C3—44no—
839C23×C3—42no—
840C23×C3—44no—
841C23×C3—42no—
842C23×C3—42no—
843C23×C3—44no—
844C23×C3—48no—
845C23×C3—48no—
846C23×C3—416no—
847C23×C3—416no—
848C23×C3—416no—
849C23×C3—48no—
850C23×C3—48no—
851C23×C3—416no—
852C23×C3—44no—
853C23×C3—42no—
854C23×C3—44no—
855C23×C3—48no—
856C23×C3—416no—
857C23×C3—432no—
858C23×C3—416no—
859C23×C3—48no—
860C23×C3—48no—
861C23×C3—416no—
862C23×C3—416no—
863C23×C3—44no—
864C23×C3—48no—
865C23×C3—44no—
866C23×C3—44no—
867C23×C3—42no—
868C23×C3—48no—
869C23×C3—44no—
870C23×C3—44no—
871C23×C3—44no—
872C23×C3—44no—
873C23×C3—48no—
874C23×C3—48no—
875C23×C3—84no—
876C23×C3—88no—
877C23×C3—88no—
878C23×C3—88no—
879C23×C3—84no—
880C23×C3—84no—
881C23×C3—84no—
882C23×C3—88no—
883C23×C3—84no—
884C23×C3—88no—
885C23×C3—82no—
886C23×C3—84no—
887C23×C3—88no—
888C23×C3—88no—
889C23×C3—84no—
890C23×C3—816no—
891C23×C3—88no—
892C23×C3—88no—
893C23×C3—816no—
894C23×C3—832no—
895C23×C3—816no—
896C23×C3—816no—
897C23×C3—816no—
898C23×C3—832no—
899C23×C3—816no—
900C23×C3—864no—
901C23×C3—864no—
902C23×C3—816no—
903C23×C3—81no—
904C23×C3—81no—
905C23×C3—84no—
906C23×C3—82no—
907C23×C3—82no—
908C23×C3—88no—
909C23×C3#39214yes—
910C23×C3#39212yes—
911C23×C3#39212yes—
912C23×C3B(4,𝔽2)14yes—
913C23×C3C2×#12014yes—
914C23×C3C2×#12012yes—
915C23×C3C2×#12012yes—
916C23×C3C2×#12011yescharacteristic
917C23×C3C2×#12111yescharacteristic
918C23×C3C2×#12112yes—
919C23×C3C2×#12711yescharacteristic
920C23×C3#53414yes—
921C23×C3#53512yes—
922C23×C3D4214yes—
923C23×C3D4218yes—
924C23×C3#54614yes—
925C3×D4—432no—
926C3×D4—432no—
927C3×D4—432no—
928C3×D4—416no—
929C3×D4—416no—
930C3×D4—416no—
931C3×D4—416no—
932C3×D4—416no—
933C3×D4—416no—
934C3×D4—832no—
935C3×D4—864no—
936C2×C3×C4—28no—
937C2×C3×C4—24no—
938C2×C3×C4—28no—
939C2×C3×C4—28no—
940C2×C3×C4—28no—
941C2×C3×C4—28no—
942C2×C3×C4—416no—
943C2×C3×C4—416no—
944C2×C3×C4—44no—
945C2×C3×C4—42no—
946C2×C3×C4—44no—
947C2×C3×C4—48no—
948C2×C3×C4—416no—
949C2×C3×C4—44no—
950C2×C3×C4—44no—
951C2×C3×C4—42no—
952C2×C3×C4—44no—
953C2×C3×C4—44no—
954C2×C3×C4—44no—
955C2×C3×C4—44no—
956C2×C3×C4—44no—
957C2×C3×C4—48no—
958C2×C3×C4—48no—
959C2×C3×C4—48no—
960C2×C3×C4—48no—
961C2×C3×C4—84no—
962C2×C3×C4—88no—
963C2×C3×C4—88no—
964C2×C3×C4—88no—
965C2×C3×C4—84no—
966C2×C3×C4—82no—
967C2×C3×C4—82no—
968C2×C3×C4—84no—
969C2×C3×C4—82no—
970C24—24no—
971C24—28no—
972C24—24no—
973C24—22no—
974C24—24no—
975C24—22no—
976C24—22no—
977C24—24no—
978C24—24no—
979C24—22no—
980C24—28no—
981C24—216no—
982C24—28no—
983C24—28no—
984C24—24no—
985C24—28no—
986C24—28no—
987C24—24no—
988C24—24no—
989C24—24no—
990C24—22no—
991C24—24no—
992C24—24no—
993C24—24no—
994C24—24no—
995C24—28no—
996C24—42no—
997C24—42no—
998C24—44no—
999C24—42no—
1000C24—42no—
1001C24—44no—
1002C24—42no—
1003C24—44no—
1004C24—44no—
1005C24—48no—
1006C24—44no—
1007C24—44no—
1008C24—416no—
1009C24—416no—
1010C24—48no—
1011C24—48no—
1012C24—44no—
1013C24—42no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—48no—
1018C24—44no—
1019C24—48no—
1020C24—48no—
1021C24—416no—
1022C24—44no—
1023C24—44no—
1024C24—48no—
1025C24—42no—
1026C24—44no—
1027C24—41no—
1028C24—42no—
1029C24—41no—
1030C24—44no—
1031C24—42no—
1032C24—48no—
1033C24—44no—
1034C24—84no—
1035C24—84no—
1036C24—88no—
1037C24—82no—
1038C24—84no—
1039C24—82no—
1040C24—82no—
1041C24—816no—
1042C24—816no—
1043C24—816no—
1044C24—816no—
1045C24—832no—
1046C24—88no—
1047C24—84no—
1048C24—82no—
1049C24—832no—
1050C24—88no—
1051C24C3×#12012yes—
1052C24C3×#12011yescharacteristic
1053C24C3×#12014yes—
1054C24C3×#12011yescharacteristic
1055C24C3×#12014yes—
1056C24C3×#12018yescomplemented
1057C24C3×#12114yes—
1058C24C3×#12112yes—
1059C24C3×#12112yes—
1060C24C3×#12114yes—
1061C24C3×#12712yes—
1062C24C3×#12712yes—
1063C24C22×C3×D412yes—
1064C24C22×C3×D411yescharacteristic
1065C24C22×C3×D414yes—
1066C24C22×C3×D411yescharacteristic
1067C24C22×C3×D412yes—
1068C24C2×C3×#4111yescharacteristic
1069C24C3×H(5,𝔽2)14yes—
1070C2×D4—216no—
1071C2×D4—232no—
1072C2×D4—216no—
1073C2×D4—216no—
1074C2×D4—216no—
1075C2×D4—216no—
1076C2×D4—216no—
1077C2×D4—216no—
1078C2×D4—216no—
1079C2×D4—216no—
1080C2×D4—232no—
1081C2×D4—416no—
1082C2×D4—416no—
1083C2×D4—416no—
1084C2×D4—48no—
1085C2×D4—416no—
1086C2×D4—416no—
1087C2×D4—416no—
1088C2×D4—48no—
1089C2×D4—416no—
1090C2×D4—416no—
1091C2×D4—48no—
1092C2×D4—432no—
1093C2×D4—432no—
1094C2×D4—432no—
1095C2×D4—432no—
1096C2×D4—432no—
1097C2×D4—432no—
1098C2×D4—432no—
1099C2×D4—432no—
1100C2×D4—432no—
1101C2×D4—48no—
1102C2×D4—416no—
1103C2×D4—48no—
1104C2×D4—48no—
1105C2×D4—432no—
1106C2×D4—416no—
1107C2×D4—48no—
1108C2×D4—48no—
1109C2×D4—48no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—48no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—48no—
1118C2×D4—48no—
1119C2×D4—48no—
1120C2×D4—48no—
1121C2×D4—48no—
1122C2×D4—48no—
1123C2×D4—432no—
1124C2×D4—432no—
1125C2×D4—832no—
1126C2×D4—88no—
1127C2×D4—88no—
1128C2×D4—816no—
1129C2×D4—832no—
1130C2×D4—832no—
1131C22×C4—24no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—28no—
1135C22×C4—28no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—22no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—28no—
1146C22×C4—24no—
1147C22×C4—28no—
1148C22×C4—44no—
1149C22×C4—416no—
1150C22×C4—416no—
1151C22×C4—48no—
1152C22×C4—44no—
1153C22×C4—42no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—41no—
1162C22×C4—42no—
1163C22×C4—41no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—48no—
1167C22×C4—48no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—816no—
1176C22×C4—82no—
1177C22×C4—82no—
1178C22×C4C3×#12018yescomplemented
1179C22×C4C3×#12018yescomplemented
1180C4⋊C4—232no—
1181C22⋊C4—216no—
1182C22⋊C4—264no—
1183C22⋊C4—216no—
1184C22⋊C4—216no—
1185C22⋊C4—432no—
1186C22⋊C4—432no—
1187C22⋊C4—416no—
1188C22⋊C4—48no—
1189C22⋊C4—48no—
1190C22⋊C4—88no—
1191C22⋊C4—816no—
1192C22⋊C4—84no—
1193C22⋊C4—84no—
1194C22×C3—22no—
1195C22×C3—24no—
1196C22×C3—24no—
1197C22×C3—28no—
1198C22×C3—22no—
1199C22×C3—21no—
1200C22×C3—21no—
1201C22×C3—22no—
1202C22×C3—22no—
1203C22×C3—21no—
1204C22×C3—21no—
1205C22×C3—22no—
1206C22×C3—22no—
1207C22×C3—28no—
1208C22×C3—24no—
1209C22×C3—24no—
1210C22×C3—24no—
1211C22×C3—22no—
1212C22×C3—24no—
1213C22×C3—22no—
1214C22×C3—24no—
1215C22×C3—22no—
1216C22×C3—44no—
1217C22×C3—48no—
1218C22×C3—44no—
1219C22×C3—48no—
1220C22×C3—48no—
1221C22×C3—416no—
1222C22×C3—416no—
1223C22×C3—416no—
1224C22×C3—416no—
1225C22×C3—48no—
1226C22×C3—42no—
1227C22×C3—44no—
1228C22×C3—42no—
1229C22×C3—44no—
1230C22×C3—48no—
1231C22×C3—416no—
1232C22×C3—44no—
1233C22×C3—88no—
1234C22×C3—84no—
1235C22×C3—84no—
1236C22×C3—88no—
1237C22×C3—88no—
1238C22×C3—88no—
1239C22×C3—88no—
1240C22×C3—88no—
1241C22×C3—832no—
1242C22×C3—84no—
1243C22×C3—816no—
1244C22×C3—88no—
1245C22×C3—832no—
1246C22×C3—82no—
1247C22×C3—84no—
1248C22×C3—84no—
1249C22×C3—82no—
1250C22×C3—84no—
1251C22×C3—84no—
1252C22×C3—88no—
1253C22×C3#202114yescomplemented
1254C22×C3C2×#39211yescharacteristic
1255C22×C3#240314yes—
1256C22×C3#240812yes—
1257C22×C3#241014yes—
1258C22×C3#243312yes—
1259C22×C3#261311yescharacteristic
1260C22×C3#284611yescharacteristic
1261C22×C3C2×B(4,𝔽2)12yes—
1262C22×C3#302612yes—
1263C3×C4—48no—
1264C3×C4—48no—
1265C3×C4—44no—
1266C3×C4—88no—
1267C3×C4—162no—
1268C23—22no—
1269C23—24no—
1270C23—22no—
1271C23—22no—
1272C23—24no—
1273C23—21no—
1274C23—21no—
1275C23—28no—
1276C23—24no—
1277C23—24no—
1278C23—28no—
1279C23—28no—
1280C23—24no—
1281C23—28no—
1282C23—24no—
1283C23—22no—
1284C23—24no—
1285C23—22no—
1286C23—24no—
1287C23—22no—
1288C23—21no—
1289C23—22no—
1290C23—21no—
1291C23—28no—
1292C23—24no—
1293C23—28no—
1294C23—24no—
1295C23—28no—
1296C23—24no—
1297C23—28no—
1298C23—28no—
1299C23—28no—
1300C23—41no—
1301C23—42no—
1302C23—41no—
1303C23—44no—
1304C23—44no—
1305C23—48no—
1306C23—41no—
1307C23—42no—
1308C23—41no—
1309C23—48no—
1310C23—42no—
1311C23—42no—
1312C23—44no—
1313C23—42no—
1314C23—44no—
1315C23—42no—
1316C23—44no—
1317C23—42no—
1318C23—42no—
1319C23—44no—
1320C23—48no—
1321C23—416no—
1322C23—416no—
1323C23—48no—
1324C23—416no—
1325C23—48no—
1326C23—48no—
1327C23—416no—
1328C23—44no—
1329C23—42no—
1330C23—44no—
1331C23—48no—
1332C23—416no—
1333C23—432no—
1334C23—416no—
1335C23—48no—
1336C23—48no—
1337C23—416no—
1338C23—416no—
1339C23—44no—
1340C23—48no—
1341C23—44no—
1342C23—42no—
1343C23—48no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—48no—
1349C23—48no—
1350C23—44no—
1351C23—84no—
1352C23—88no—
1353C23—88no—
1354C23—88no—
1355C23—84no—
1356C23—84no—
1357C23—84no—
1358C23—88no—
1359C23—84no—
1360C23—88no—
1361C23—82no—
1362C23—88no—
1363C23—84no—
1364C23—88no—
1365C23—84no—
1366C23—816no—
1367C23—88no—
1368C23—88no—
1369C23—816no—
1370C23—832no—
1371C23—816no—
1372C23—816no—
1373C23—816no—
1374C23—832no—
1375C23—816no—
1376C23—864no—
1377C23—864no—
1378C23—816no—
1379C23—88no—
1380C23—84no—
1381C23—82no—
1382C23—82no—
1383C23—81no—
1384C23—81no—
1385C23C3×#39214yes—
1386C23C3×#39212yes—
1387C23C3×#39212yes—
1388C23C3×B(4,𝔽2)14yes—
1389C23C2×C3×#12012yes—
1390C23C2×C3×#12014yes—
1391C23C2×C3×#12012yes—
1392C23C2×C3×#12011yescharacteristic
1393C23C2×C3×#12111yescharacteristic
1394C23C2×C3×#12112yes—
1395C23C2×C3×#12711yescharacteristic
1396C23C3×#53414yes—
1397C23C3×#53512yes—
1398C23C3×D4214yes—
1399C23C3×D4218yes—
1400C23C3×#54614yes—
1401D4—432no—
1402D4—432no—
1403D4—432no—
1404D4—416no—
1405D4—416no—
1406D4—416no—
1407D4—416no—
1408D4—416no—
1409D4—416no—
1410D4—832no—
1411D4—864no—
1412C2×C4—28no—
1413C2×C4—24no—
1414C2×C4—28no—
1415C2×C4—28no—
1416C2×C4—28no—
1417C2×C4—28no—
1418C2×C4—416no—
1419C2×C4—416no—
1420C2×C4—44no—
1421C2×C4—42no—
1422C2×C4—44no—
1423C2×C4—48no—
1424C2×C4—416no—
1425C2×C4—44no—
1426C2×C4—42no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—48no—
1434C2×C4—48no—
1435C2×C4—48no—
1436C2×C4—48no—
1437C2×C4—84no—
1438C2×C4—88no—
1439C2×C4—88no—
1440C2×C4—88no—
1441C2×C4—84no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4—84no—
1445C2×C4—82no—
1446C2×C3—24no—
1447C2×C3—22no—
1448C2×C3—24no—
1449C2×C3—22no—
1450C2×C3—24no—
1451C2×C3—42no—
1452C2×C3—44no—
1453C2×C3—84no—
1454C2×C3—88no—
1455C2×C3#1471511yescharacteristic
1456C2×C3C2×#202111yescharacteristic
1457C2×C3#2344411yescharacteristic
1458C2×C3#2963412yes—
1459C2×C3#3289812yes—
1460C22—22no—
1461C22—24no—
1462C22—24no—
1463C22—28no—
1464C22—22no—
1465C22—21no—
1466C22—21no—
1467C22—22no—
1468C22—22no—
1469C22—21no—
1470C22—21no—
1471C22—22no—
1472C22—22no—
1473C22—28no—
1474C22—24no—
1475C22—24no—
1476C22—24no—
1477C22—22no—
1478C22—24no—
1479C22—22no—
1480C22—24no—
1481C22—22no—
1482C22—44no—
1483C22—48no—
1484C22—44no—
1485C22—416no—
1486C22—416no—
1487C22—48no—
1488C22—48no—
1489C22—416no—
1490C22—416no—
1491C22—48no—
1492C22—42no—
1493C22—44no—
1494C22—44no—
1495C22—42no—
1496C22—48no—
1497C22—416no—
1498C22—44no—
1499C22—88no—
1500C22—84no—
1501C22—84no—
1502C22—88no—
1503C22—88no—
1504C22—88no—
1505C22—88no—
1506C22—88no—
1507C22—832no—
1508C22—84no—
1509C22—816no—
1510C22—88no—
1511C22—832no—
1512C22—82no—
1513C22—84no—
1514C22—84no—
1515C22—82no—
1516C22—84no—
1517C22—84no—
1518C22—88no—
1519C22C3×#202114yescomplemented
1520C22C2×C3×#39211yescharacteristic
1521C22C3×#240314yes—
1522C22C3×#240812yes—
1523C22C3×#241014yes—
1524C22C3×#243312yes—
1525C22C3×#261311yescharacteristic
1526C22C3×#284611yescharacteristic
1527C22C2×C3×B(4,𝔽2)12yes—
1528C22C3×#302612yes—
1529C4—48no—
1530C4—48no—
1531C4—44no—
1532C4—88no—
1533C4—162no—
1534C3#39392911yescharacteristic, direct product factor, Sylow
1535C2—24no—
1536C2—22no—
1537C2—24no—
1538C2—22no—
1539C2—24no—
1540C2—44no—
1541C2—42no—
1542C2—84no—
1543C2—88no—
1544C2C3×#1471511yescharacteristic
1545C2C2×C3×#202111yescharacteristic
1546C2C3×#2344411yescharacteristic
1547C2C3×#2963412yes—
1548C2C3×#3289812yes—
subgroupG/H
center, socleC23×C3C2×#120
commutator, Frattini, cosocleC25C24×C3
LCSG ▷ C25 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C26×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C3×#534C2semidirect
2. C2×C3×#2403C2semidirect
3. C2×C3×#2021C2semidirect
4. C2×C3×#1781C2semidirect
5. C3×#13867C2semidirect
6. C3×#10995C2semidirect
7. C3×#10725C2semidirect
8. #393929C3direct (N × H)
19. C22×C3×#120C22semidirect
21. C22×C3×#99C22semidirect
27. C2×C3×#386C22semidirect
30. C2×C3×#379C22semidirect
33. C2×C3×#342C22semidirect
35. C3×C22⋊#95C22semidirect
36. C22×#534C2×C3semidirect
37. C2×#2403C2×C3semidirect
38. C2×#2021C2×C3semidirect
39. C2×#1781C2×C3semidirect
40. #13867C2×C3semidirect
41. #10995C2×C3semidirect
42. #10725C2×C3semidirect
43. C26×C3D4semidirect
65. C23×C3×D4D4semidirect
66. C23×C3×D4D4semidirect
68. C24×C3×C4D4semidirect
69. C24×C3×C4D4semidirect
76. C3×#534D4semidirect
104. C22×C3×C22⋊C4D4semidirect
119. C3×#379D4semidirect
133. C22×#120C22×C3semidirect
135. C22×#99C22×C3semidirect
141. C2×#386C22×C3semidirect
144. C2×#379C22×C3semidirect
147. C2×#342C22×C3semidirect
149. C22⋊#95C22×C3semidirect
177. C25×C3C2×D4semidirect
269. C23×C3×C4C2×D4semidirect
315. C2×C3×C22⋊C4C2×D4semidirect
319. C26C3×D4semidirect
341. C23×D4C3×D4semidirect
342. C23×D4C3×D4semidirect
344. C24×C4C3×D4semidirect
345. C24×C4C3×D4semidirect
352. #534C3×D4semidirect
380. C22×C22⋊C4C3×D4semidirect
395. #379C3×D4semidirect
485. C24×C3#120semidirect
607. C22×C3×C4#120semidirect
608. C22×C3×C4#120semidirect
650. C25C2×C3×D4semidirect
742. C23×C4C2×C3×D4semidirect
788. C2×C22⋊C4C2×C3×D4semidirect
1056. C24C3×#120semidirect
1178. C22×C4C3×#120semidirect
1179. C22×C4C3×#120semidirect
1253. C22×C3#2021semidirect
1519. C22C3×#2021semidirect
1534. C3#393929direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#5342
C2×C3×#24032
C2×C3×#20212
C2×C3×#17812
C3×#138672
C3×#109952
C3×#107252
#3939293