Finite Group Databasebeta

← C3×#394249 #72248824

Subgroups — C3×#394249 #72248824

Order 1536.

6564 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#60423C211yesmaximal, characteristic, complemented
2C2×C3×#3003C212yesmaximal, complemented
3C3×#34171C211yesmaximal, characteristic, complemented
4C3×#23443C211yesmaximal, characteristic, complemented
5C3×#23407C211yesmaximal, characteristic, complemented
6C2×C3×#1904C212yesmaximal, complemented
7C3×#11073C211yesmaximal, characteristic, complemented
8C3×#11071C211yesmaximal, characteristic, complemented
9C3×#11030C212yesmaximal, complemented
10C3×#10994C212yesmaximal, complemented
11C3×#10776C211yesmaximal, characteristic, complemented
12#394249C311yesmaximal, characteristic, direct product factor, Sylow
13C24×C3×D4C2211yescharacteristic
14C22×C3×AGL(1,ℤ/8)C2212yes—
15C22×C3×AGL(1,ℤ/8)C2212yes—
16C3×#3449C2211yescharacteristic, complemented
17C2×C3×#525C2212yes—
18C2×C3×#518C2211yescharacteristic
19C2×C3×#518C2211yescharacteristic
20C3×#3042—24no—
21C3×#3041—24no—
22C3×#3036—24no—
23C3×#3003—28no—
24C3×#3003—28no—
25C2×C3×#450—24no—
26C2×C3×#447—24no—
27C3×#2905C2211yescharacteristic, complemented
28C2×C3×#421C2212yescomplemented
29C3×#2896C2212yescomplemented
30C2×C3×#418C2212yes—
31C2×C3×#418C2212yes—
32C2×C3×#410C2212yescomplemented
33C2×C3×#407C2212yes—
34C3×D4×C22⋊C4—24no—
35C3×D4×C22⋊C4—24no—
36C3×#2309C2211yescharacteristic
37C3×#2309C2211yescharacteristic
38C3×#2308—22no—
39C3×#2280C2211yescharacteristic
40C3×#2280C2211yescharacteristic
41C2×C3×#379—22no—
42C3×#2022—22no—
43C3×#2021—22no—
44C3×#2006—24no—
45C3×#1904—28no—
46C2×C3×#344C2212yescomplemented
47C3×#1742C2211yescharacteristic, complemented
48C3×#1740C2211yescharacteristic, complemented
49C3×#1733C2212yescomplemented
50C2×C3×H(3,ℤ/4)C2212yescomplemented
51#60423C2×C311yescharacteristic, complemented
52C2×#3003C2×C312yescomplemented
53#34171C2×C311yescharacteristic, complemented
54#23443C2×C311yescharacteristic, complemented
55#23407C2×C311yescharacteristic, complemented
56C2×#1904C2×C312yescomplemented
57#11073C2×C311yescharacteristic, complemented
58#11071C2×C311yescharacteristic, complemented
59#11030C2×C312yescomplemented
60#10994C2×C312yescomplemented
61#10776C2×C311yescharacteristic, complemented
62C26×C3—21no—
63C22×C3×#41C2312yes—
64C23×C3×D4—22no—
65C23×C3×D4—22no—
66C23×C3×D4—22no—
67C23×C3×D4—22no—
68C23×C3×D4—21no—
69C23×C3×D4—22no—
70C23×C3×D4—24no—
71C23×C3×D4—24no—
72C23×C3×D4—42no—
73C23×C3×D4—42no—
74C23×C3×D4D414yescomplemented
75C23×C3×D4C2311yescharacteristic
76C23×C3×D4C2311yescharacteristic
77C24×C3×C4C2311yescharacteristic
78C2×C3×AGL(1,ℤ/8)—24no—
79C2×C3×AGL(1,ℤ/8)—24no—
80C2×C3×AGL(1,ℤ/8)—24no—
81C2×C3×AGL(1,ℤ/8)—24no—
82C2×C3×AGL(1,ℤ/8)—24no—
83C2×C3×AGL(1,ℤ/8)—24no—
84C2×C3×AGL(1,ℤ/8)—24no—
85C2×C3×AGL(1,ℤ/8)—24no—
86C2×C3×AGL(1,ℤ/8)—24no—
87C2×C3×AGL(1,ℤ/8)—24no—
88C2×C3×AGL(1,ℤ/8)—42no—
89C2×C3×AGL(1,ℤ/8)—42no—
90C22×C3×SD16—22no—
91C22×C3×SD16D414yescomplemented
92C22×C3×D8—22no—
93C22×C3×D8D414yescomplemented
94C22×C3×M16C2312yes—
95C22×C3×M16C2312yes—
96C3×#537—22no—
97C3×#536—22no—
98C3×#535—22no—
99C3×#534—22no—
100C3×#532—22no—
101C3×#525—24no—
102C3×#525—24no—
103C3×#525—24no—
104C3×#525—42no—
105C3×#525—42no—
106C2×C3×#123—22no—
107C2×C3×C22⋊Q8—22no—
108C2×C3×#121—22no—
109C2×C3×#120—22no—
110C3×#518—24no—
111C3×#518—24no—
112C3×#518—42no—
113C3×#518—42no—
114C2×C3×C4×D4—22no—
115C2×C3×C4×D4—22no—
116C2×C3×C4×D4—22no—
117C2×C3×C4×D4—42no—
118C2×C3×C4×D4D414yescomplemented
119C2×C3×#117C2312yes—
120C2×C3×#117C2311yescharacteristic
121C2×C3×#117C2311yescharacteristic
122C2×C3×#117C2311yescharacteristic
123C2×C3×#117C2311yescharacteristic
124C22×C3×C22⋊C4—28no—
125C22×C3×C22⋊C4—22no—
126C22×C3×C22⋊C4—22no—
127C3×#463—216no—
128C3×#461—28no—
129C3×#459—28no—
130C3×#450—232no—
131C3×#447—232no—
132C3×#424—24no—
133C3×#423—22no—
134C3×#421—24no—
135C3×#421—42no—
136C2×C3×#104—24no—
137C3×#419—22no—
138C3×#418—24no—
139C3×#418—24no—
140C3×#418—22no—
141C3×#418—24no—
142C3×#418D418yescomplemented
143C3×#417—24no—
144C3×#416—24no—
145C2×C3×#102—24no—
146C2×C3×#102—24no—
147C3×#410—24no—
148C3×#410—42no—
149C2×C3×#99—24no—
150C3×#407—24no—
151C3×#407—24no—
152C2×C3×C22⋊C8—24no—
153C3×#390—22no—
154C3×#390—22no—
155C3×#390—22no—
156C3×#390D414yescomplemented
157C3×#386—28no—
158C3×#386—28no—
159C3×#381—21no—
160C3×#381D412yes—
161C3×#380—22no—
162C3×#380—22no—
163C3×#379—28no—
164C3×#379—22no—
165C3×#379—22no—
166C3×#379—21no—
167C3×#379D412yes—
168C3×C4×C22⋊C4—22no—
169C3×C4×C22⋊C4—22no—
170C3×#344—24no—
171C3×#343—22no—
172C3×#342—22no—
173C3×#339—42no—
174C3×H(3,ℤ/4)—24no—
175C24×D4C22×C311yescharacteristic
176C22×AGL(1,ℤ/8)C22×C312yes—
177C22×AGL(1,ℤ/8)C22×C312yes—
178#3449C22×C311yescharacteristic, complemented
179C2×#525C22×C312yes—
180C2×#518C22×C311yescharacteristic
181C2×#518C22×C311yescharacteristic
182#3042—24no—
183#3041—24no—
184#3036—24no—
185#3003—28no—
186#3003—28no—
187C2×#450—24no—
188C2×#447—24no—
189#2905C22×C311yescharacteristic, complemented
190C2×#421C22×C312yescomplemented
191#2896C22×C312yescomplemented
192C2×#418C22×C312yes—
193C2×#418C22×C312yes—
194C2×#410C22×C312yescomplemented
195C2×#407C22×C312yes—
196D4×C22⋊C4—24no—
197D4×C22⋊C4—24no—
198#2309C22×C311yescharacteristic
199#2309C22×C311yescharacteristic
200#2308—22no—
201#2280C22×C311yescharacteristic
202#2280C22×C311yescharacteristic
203C2×#379—22no—
204#2022—22no—
205#2021—22no—
206#2006—24no—
207#1904—28no—
208C2×#344C22×C312yescomplemented
209#1742C22×C311yescharacteristic, complemented
210#1740C22×C311yescharacteristic, complemented
211#1733C22×C312yescomplemented
212C2×H(3,ℤ/4)C22×C312yescomplemented
213C25×C3—21no—
214C25×C3—24no—
215C25×C3—24no—
216C25×C3—24no—
217C25×C3—21no—
218C25×C3—44no—
219C25×C3—44no—
220C25×C3—88no—
221C25×C3C2×D411yescharacteristic
222C2×C3×#41—22no—
223C2×C3×#41—22no—
224C2×C3×#41—22no—
225C2×C3×#41—22no—
226C2×C3×#41—22no—
227C2×C3×#41—22no—
228C2×C3×#41—22no—
229C2×C3×#41—22no—
230C2×C3×#41—22no—
231C2×C3×#41—22no—
232C2×C3×#41—22no—
233C2×C3×#41—22no—
234C22×C3×Q8C2×D412yes—
235C22×C3×D4—24no—
236C22×C3×D4—28no—
237C22×C3×D4—28no—
238C22×C3×D4—24no—
239C22×C3×D4—28no—
240C22×C3×D4—28no—
241C22×C3×D4—216no—
242C22×C3×D4—22no—
243C22×C3×D4—24no—
244C22×C3×D4—21no—
245C22×C3×D4—22no—
246C22×C3×D4—22no—
247C22×C3×D4—21no—
248C22×C3×D4—21no—
249C22×C3×D4—21no—
250C22×C3×D4—21no—
251C22×C3×D4—21no—
252C22×C3×D4—22no—
253C22×C3×D4—22no—
254C22×C3×D4—22no—
255C22×C3×D4—22no—
256C22×C3×D4—48no—
257C22×C3×D4—48no—
258C22×C3×D4—48no—
259C22×C3×D4—44no—
260C22×C3×D4—44no—
261C22×C3×D4—48no—
262C22×C3×D4—48no—
263C22×C3×D4—48no—
264C22×C3×D4—48no—
265C22×C3×D4—44no—
266C22×C3×D4—44no—
267C22×C3×D4—48no—
268C22×C3×D4—44no—
269C22×C3×D4—48no—
270C22×C3×D4—44no—
271C22×C3×D4—42no—
272C22×C3×D4C2×D412yes—
273C22×C3×D4C2×D412yes—
274C22×C3×D4C2×D412yes—
275C22×C3×D4C2×D414yes—
276C22×C3×D4C2×D412yes—
277C22×C3×D4C2×D414yes—
278C22×C3×D4C2×D412yes—
279C22×C3×D4#4112yes—
280C22×C3×D4#4112yes—
281C23×C3×C4—21no—
282C23×C3×C4—21no—
283C23×C3×C4—22no—
284C23×C3×C4—22no—
285C23×C3×C4—21no—
286C23×C3×C4—21no—
287C23×C3×C4—22no—
288C23×C3×C4—22no—
289C23×C3×C4—24no—
290C23×C3×C4—22no—
291C23×C3×C4—24no—
292C23×C3×C4C2×D411yescharacteristic
293C23×C3×C4C2×D412yes—
294C23×C3×C4#4112yes—
295C23×C3×C4C2411yescharacteristic
296C3×AGL(1,ℤ/8)—48no—
297C3×AGL(1,ℤ/8)—48no—
298C3×AGL(1,ℤ/8)—48no—
299C3×AGL(1,ℤ/8)—48no—
300C3×AGL(1,ℤ/8)—48no—
301C3×AGL(1,ℤ/8)—48no—
302C3×AGL(1,ℤ/8)—48no—
303C3×AGL(1,ℤ/8)—48no—
304C2×C3×SD16—28no—
305C2×C3×SD16—28no—
306C2×C3×SD16—28no—
307C2×C3×SD16—28no—
308C2×C3×SD16—44no—
309C2×C3×SD16—44no—
310C2×C3×D8—28no—
311C2×C3×D8—28no—
312C2×C3×D8—28no—
313C2×C3×D8—28no—
314C2×C3×D8—44no—
315C2×C3×D8—44no—
316C2×C3×M16—22no—
317C2×C3×M16—22no—
318C2×C3×M16—22no—
319C2×C3×M16—22no—
320C2×C3×M16—22no—
321C2×C3×M16—22no—
322C2×C3×M16—22no—
323C2×C3×M16—22no—
324C2×C3×M16—22no—
325C2×C3×M16—22no—
326C2×C3×M16—22no—
327C2×C3×M16C2×D414yes—
328C22×C3×C8—22no—
329C22×C3×C8C2×D414yes—
330C3×C4⋊Q8—22no—
331C3×#127—22no—
332C3×#124—24no—
333C3×#123—44no—
334C3×#123—44no—
335C3×#123—44no—
336C3×C22⋊Q8—28no—
337C3×C22⋊Q8—44no—
338C3×C22⋊Q8—44no—
339C3×#121—28no—
340C3×#121—44no—
341C3×#121—44no—
342C3×#121—44no—
343C3×#120—44no—
344C3×#120—44no—
345C3×#120—44no—
346C3×C4×D4—28no—
347C3×C4×D4—44no—
348C3×C4×D4—48no—
349C3×C4×D4—48no—
350C3×C4×D4—44no—
351C3×C4×D4—48no—
352C3×C4×D4—48no—
353C3×C4×D4—44no—
354C3×C4×D4—44no—
355C3×#117—22no—
356C3×#117—22no—
357C3×#117—22no—
358C3×#117—22no—
359C3×#117—22no—
360C3×#117—22no—
361C3×#117—22no—
362C3×#117—22no—
363C3×#117—22no—
364C3×#117—22no—
365C3×#117—22no—
366C3×#117C2×D414yes—
367C2×C3×C4⋊C4—22no—
368C2×C3×C4⋊C4—21no—
369C2×C3×C4⋊C4—21no—
370C2×C3×C4⋊C4—42no—
371C2×C3×C4⋊C4C2×D412yes—
372C2×C3×C4⋊C4C2×D412yes—
373C2×C3×C22⋊C4—22no—
374C2×C3×C22⋊C4—24no—
375C2×C3×C22⋊C4—24no—
376C2×C3×C22⋊C4—21no—
377C2×C3×C22⋊C4—21no—
378C2×C3×C22⋊C4—24no—
379C2×C3×C22⋊C4—24no—
380C2×C3×C22⋊C4—28no—
381C2×C3×C22⋊C4—28no—
382C2×C3×C22⋊C4—48no—
383C2×C3×C22⋊C4—48no—
384C2×C3×C22⋊C4—42no—
385C2×C3×C22⋊C4—42no—
386C2×C3×C22⋊C4—816no—
387C2×C3×C22⋊C4C2×D412yes—
388C2×C3×C22⋊C4C2×D412yes—
389C2×C3×C42—22no—
390C2×C3×C42—21no—
391C2×C3×C42—21no—
392C2×C3×C42C2×D412yes—
393C2×C3×C42C2×D412yes—
394C3×C4⋊C8—28no—
395C3×#104—48no—
396C3×#103—28no—
397C3×#102—216no—
398C3×#102—28no—
399C3×#102—216no—
400C3×#99—48no—
401C3×C22⋊C8—216no—
402C3×#95—24no—
403C3×#95—24no—
404C26—21no—
405C22×#41C23×C312yes—
406C23×D4—22no—
407C23×D4—22no—
408C23×D4—22no—
409C23×D4—22no—
410C23×D4—24no—
411C23×D4—24no—
412C23×D4—21no—
413C23×D4—22no—
414C23×D4—42no—
415C23×D4—42no—
416C23×D4C3×D414yescomplemented
417C23×D4C23×C311yescharacteristic
418C23×D4C23×C311yescharacteristic
419C24×C4C23×C311yescharacteristic
420C2×AGL(1,ℤ/8)—24no—
421C2×AGL(1,ℤ/8)—24no—
422C2×AGL(1,ℤ/8)—24no—
423C2×AGL(1,ℤ/8)—24no—
424C2×AGL(1,ℤ/8)—24no—
425C2×AGL(1,ℤ/8)—24no—
426C2×AGL(1,ℤ/8)—24no—
427C2×AGL(1,ℤ/8)—24no—
428C2×AGL(1,ℤ/8)—24no—
429C2×AGL(1,ℤ/8)—24no—
430C2×AGL(1,ℤ/8)—42no—
431C2×AGL(1,ℤ/8)—42no—
432C22×SD16—22no—
433C22×SD16C3×D414yescomplemented
434C22×D8—22no—
435C22×D8C3×D414yescomplemented
436C22×M16C23×C312yes—
437C22×M16C23×C312yes—
438#537—22no—
439#536—22no—
440#535—22no—
441#534—22no—
442#532—22no—
443#525—24no—
444#525—24no—
445#525—24no—
446#525—42no—
447#525—42no—
448C2×#123—22no—
449C2×C22⋊Q8—22no—
450C2×#121—22no—
451C2×#120—22no—
452#518—24no—
453#518—24no—
454#518—42no—
455#518—42no—
456C2×C4×D4—22no—
457C2×C4×D4—22no—
458C2×C4×D4—22no—
459C2×C4×D4—42no—
460C2×C4×D4C3×D414yescomplemented
461C2×#117C23×C312yes—
462C2×#117C23×C311yescharacteristic
463C2×#117C23×C311yescharacteristic
464C2×#117C23×C311yescharacteristic
465C2×#117C23×C311yescharacteristic
466C22×C22⋊C4—28no—
467C22×C22⋊C4—22no—
468C22×C22⋊C4—22no—
469#463—216no—
470#461—28no—
471#459—28no—
472#450—232no—
473#447—232no—
474#424—24no—
475#423—22no—
476#421—24no—
477#421—42no—
478C2×#104—24no—
479#419—22no—
480#418—24no—
481#418—24no—
482#418—22no—
483#418—24no—
484#418C3×D418yescomplemented
485#417—24no—
486#416—24no—
487C2×#102—24no—
488C2×#102—24no—
489#410—24no—
490#410—42no—
491C2×#99—24no—
492#407—24no—
493#407—24no—
494C2×C22⋊C8—24no—
495#390—22no—
496#390—22no—
497#390—22no—
498#390C3×D414yescomplemented
499#386—28no—
500#386—28no—
501#381—21no—
502#381C3×D412yes—
503#380—22no—
504#380—22no—
505#379—28no—
506#379—21no—
507#379—22no—
508#379—22no—
509#379C3×D412yes—
510C4×C22⋊C4—22no—
511C4×C22⋊C4—22no—
512#344—24no—
513#343—22no—
514#342—22no—
515#339—42no—
516H(3,ℤ/4)—24no—
517C24×C3—21no—
518C24×C3—22no—
519C24×C3—22no—
520C24×C3—22no—
521C24×C3—22no—
522C24×C3—24no—
523C24×C3—24no—
524C24×C3—216no—
525C24×C3—22no—
526C24×C3—21no—
527C24×C3—22no—
528C24×C3—22no—
529C24×C3—22no—
530C24×C3—22no—
531C24×C3—44no—
532C24×C3—416no—
533C24×C3—48no—
534C24×C3—48no—
535C24×C3—416no—
536C24×C3—416no—
537C24×C3—42no—
538C24×C3—42no—
539C24×C3—816no—
540C24×C3—816no—
541C24×C3—84no—
542C24×C3—84no—
543C24×C3—88no—
544C24×C3—816no—
545C24×C3—816no—
546C24×C3—832no—
547C24×C3#12112yes—
548C24×C3C22×D411yescharacteristic
549C3×#41—42no—
550C3×#41—42no—
551C3×#41—42no—
552C3×#41—42no—
553C3×#41—42no—
554C3×#41—42no—
555C3×#41—42no—
556C3×#41—42no—
557C3×#41—42no—
558C3×#41—42no—
559C3×#41—42no—
560C3×#41—42no—
561C3×#41—42no—
562C3×#41—42no—
563C3×#41—42no—
564C3×#41—42no—
565C2×C3×Q8—22no—
566C2×C3×Q8—22no—
567C2×C3×Q8—22no—
568C2×C3×Q8—22no—
569C2×C3×Q8—22no—
570C2×C3×Q8—22no—
571C2×C3×D4—216no—
572C2×C3×D4—24no—
573C2×C3×D4—22no—
574C2×C3×D4—22no—
575C2×C3×D4—22no—
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—22no—
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—24no—
584C2×C3×D4—24no—
585C2×C3×D4—22no—
586C2×C3×D4—24no—
587C2×C3×D4—24no—
588C2×C3×D4—24no—
589C2×C3×D4—24no—
590C2×C3×D4—24no—
591C2×C3×D4—22no—
592C2×C3×D4—24no—
593C2×C3×D4—24no—
594C2×C3×D4—24no—
595C2×C3×D4—24no—
596C2×C3×D4—24no—
597C2×C3×D4—24no—
598C2×C3×D4—22no—
599C2×C3×D4—22no—
600C2×C3×D4—416no—
601C2×C3×D4—44no—
602C2×C3×D4—432no—
603C2×C3×D4—416no—
604C2×C3×D4—416no—
605C2×C3×D4—432no—
606C2×C3×D4—416no—
607C2×C3×D4—48no—
608C2×C3×D4—416no—
609C2×C3×D4—48no—
610C2×C3×D4—416no—
611C2×C3×D4—48no—
612C2×C3×D4—42no—
613C2×C3×D4—42no—
614C2×C3×D4—42no—
615C2×C3×D4—42no—
616C2×C3×D4—42no—
617C2×C3×D4—42no—
618C2×C3×D4—41no—
619C2×C3×D4—42no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—42no—
624C2×C3×D4—42no—
625C2×C3×D4—42no—
626C2×C3×D4—88no—
627C2×C3×D4#12018yes—
628C2×C3×D4#12014yes—
629C2×C3×D4#12114yes—
630C2×C3×D4#12118yes—
631C2×C3×D4#12114yes—
632C2×C3×D4#12714yes—
633C22×C3×C4—21no—
634C22×C3×C4—21no—
635C22×C3×C4—22no—
636C22×C3×C4—22no—
637C22×C3×C4—24no—
638C22×C3×C4—22no—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—24no—
643C22×C3×C4—24no—
644C22×C3×C4—24no—
645C22×C3×C4—22no—
646C22×C3×C4—22no—
647C22×C3×C4—22no—
648C22×C3×C4—22no—
649C22×C3×C4—48no—
650C22×C3×C4—41no—
651C22×C3×C4—42no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—42no—
656C22×C3×C4—42no—
657C22×C3×C4—42no—
658C22×C3×C4—42no—
659C22×C3×C4—42no—
660C22×C3×C4—42no—
661C22×C3×C4—48no—
662C22×C3×C4—42no—
663C22×C3×C4—42no—
664C22×C3×C4—42no—
665C22×C3×C4—42no—
666C22×C3×C4—42no—
667C22×C3×C4—42no—
668C22×C3×C4—88no—
669C22×C3×C4—88no—
670C22×C3×C4#12014yes—
671C22×C3×C4#12112yes—
672C22×C3×C4C22×D411yescharacteristic
673C22×C3×C4C22×D412yes—
674C22×C3×C4C22×D411yescharacteristic
675C22×C3×C4C22×D412yes—
676C22×C3×C4C22×D411yescharacteristic
677C22×C3×C4C2×#4111yescharacteristic
678C22×C3×C4C2×#4111yescharacteristic
679C22×C3×C4C2×#4111yescharacteristic
680C22×C3×C4H(5,𝔽2)12yes—
681C22×C3×C4H(5,𝔽2)12yes—
682C3×SD16—416no—
683C3×SD16—416no—
684C3×D8—416no—
685C3×D8—416no—
686C3×M16—24no—
687C3×M16—24no—
688C3×M16—42no—
689C3×M16—42no—
690C3×M16—42no—
691C3×M16—42no—
692C3×M16—42no—
693C3×M16—42no—
694C2×C3×C8—24no—
695C2×C3×C8—24no—
696C2×C3×C8—24no—
697C2×C3×C8—24no—
698C2×C3×C8—42no—
699C2×C3×C8—42no—
700C3×C4⋊C4—24no—
701C3×C4⋊C4—24no—
702C3×C4⋊C4—22no—
703C3×C4⋊C4—22no—
704C3×C4⋊C4—48no—
705C3×C4⋊C4—44no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—42no—
709C3×C4⋊C4—42no—
710C3×C22⋊C4—24no—
711C3×C22⋊C4—24no—
712C3×C22⋊C4—24no—
713C3×C22⋊C4—48no—
714C3×C22⋊C4—48no—
715C3×C22⋊C4—48no—
716C3×C22⋊C4—48no—
717C3×C22⋊C4—48no—
718C3×C22⋊C4—48no—
719C3×C22⋊C4—48no—
720C3×C22⋊C4—42no—
721C3×C22⋊C4—42no—
722C3×C22⋊C4—42no—
723C3×C22⋊C4—88no—
724C3×C22⋊C4—88no—
725C3×C42—22no—
726C3×C42—22no—
727C3×C42—24no—
728C3×C42—24no—
729C3×C42—41no—
730C3×C42—42no—
731C3×C42—41no—
732C3×C42—42no—
733C25—21no—
734C25—24no—
735C25—24no—
736C25—24no—
737C25—21no—
738C25—44no—
739C25—44no—
740C25—88no—
741C25C2×C3×D411yescharacteristic
742C2×#41—22no—
743C2×#41—22no—
744C2×#41—22no—
745C2×#41—22no—
746C2×#41—22no—
747C2×#41—22no—
748C2×#41—22no—
749C2×#41—22no—
750C2×#41—22no—
751C2×#41—22no—
752C2×#41—22no—
753C2×#41—22no—
754C22×Q8C2×C3×D412yes—
755C22×D4—24no—
756C22×D4—24no—
757C22×D4—28no—
758C22×D4—28no—
759C22×D4—28no—
760C22×D4—28no—
761C22×D4—216no—
762C22×D4—22no—
763C22×D4—24no—
764C22×D4—21no—
765C22×D4—22no—
766C22×D4—22no—
767C22×D4—21no—
768C22×D4—21no—
769C22×D4—21no—
770C22×D4—21no—
771C22×D4—21no—
772C22×D4—22no—
773C22×D4—22no—
774C22×D4—22no—
775C22×D4—22no—
776C22×D4—48no—
777C22×D4—48no—
778C22×D4—48no—
779C22×D4—44no—
780C22×D4—44no—
781C22×D4—48no—
782C22×D4—48no—
783C22×D4—48no—
784C22×D4—48no—
785C22×D4—44no—
786C22×D4—44no—
787C22×D4—48no—
788C22×D4—44no—
789C22×D4—48no—
790C22×D4—44no—
791C22×D4—42no—
792C22×D4C2×C3×D412yes—
793C22×D4C2×C3×D412yes—
794C22×D4C2×C3×D412yes—
795C22×D4C2×C3×D414yes—
796C22×D4C2×C3×D412yes—
797C22×D4C2×C3×D412yes—
798C22×D4C2×C3×D414yes—
799C22×D4C3×#4112yes—
800C22×D4C3×#4112yes—
801C23×C4—22no—
802C23×C4—22no—
803C23×C4—21no—
804C23×C4—21no—
805C23×C4—21no—
806C23×C4—21no—
807C23×C4—22no—
808C23×C4—22no—
809C23×C4—24no—
810C23×C4—22no—
811C23×C4—24no—
812C23×C4C2×C3×D411yescharacteristic
813C23×C4C2×C3×D412yes—
814C23×C4C3×#4112yes—
815C23×C4C24×C311yescharacteristic
816AGL(1,ℤ/8)—48no—
817AGL(1,ℤ/8)—48no—
818AGL(1,ℤ/8)—48no—
819AGL(1,ℤ/8)—48no—
820AGL(1,ℤ/8)—48no—
821AGL(1,ℤ/8)—48no—
822AGL(1,ℤ/8)—48no—
823AGL(1,ℤ/8)—48no—
824C2×SD16—28no—
825C2×SD16—28no—
826C2×SD16—28no—
827C2×SD16—28no—
828C2×SD16—44no—
829C2×SD16—44no—
830C2×D8—28no—
831C2×D8—28no—
832C2×D8—28no—
833C2×D8—28no—
834C2×D8—44no—
835C2×D8—44no—
836C2×M16—22no—
837C2×M16—22no—
838C2×M16—22no—
839C2×M16—22no—
840C2×M16—22no—
841C2×M16—22no—
842C2×M16—22no—
843C2×M16—22no—
844C2×M16—22no—
845C2×M16—22no—
846C2×M16—22no—
847C2×M16C2×C3×D414yes—
848C22×C8—22no—
849C22×C8C2×C3×D414yes—
850C4⋊Q8—22no—
851#127—22no—
852#124—24no—
853#123—44no—
854#123—44no—
855#123—44no—
856C22⋊Q8—28no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859#121—28no—
860#121—44no—
861#121—44no—
862#121—44no—
863#120—44no—
864#120—44no—
865#120—44no—
866C4×D4—28no—
867C4×D4—44no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—44no—
871C4×D4—48no—
872C4×D4—48no—
873C4×D4—44no—
874C4×D4—44no—
875#117—22no—
876#117—22no—
877#117—22no—
878#117—22no—
879#117—22no—
880#117—22no—
881#117—22no—
882#117—22no—
883#117—22no—
884#117—22no—
885#117—22no—
886#117C2×C3×D414yes—
887C2×C4⋊C4—22no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—42no—
891C2×C4⋊C4C2×C3×D412yes—
892C2×C4⋊C4C2×C3×D412yes—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—24no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—24no—
899C2×C22⋊C4—24no—
900C2×C22⋊C4—28no—
901C2×C22⋊C4—28no—
902C2×C22⋊C4—48no—
903C2×C22⋊C4—48no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—816no—
907C2×C22⋊C4C2×C3×D412yes—
908C2×C22⋊C4C2×C3×D412yes—
909C2×C42—22no—
910C2×C42—21no—
911C2×C42—21no—
912C2×C42C2×C3×D412yes—
913C2×C42C2×C3×D412yes—
914C4⋊C8—28no—
915#104—48no—
916#103—28no—
917#102—216no—
918#102—28no—
919#102—216no—
920#99—48no—
921C22⋊C8—216no—
922#95—24no—
923#95—24no—
924C23×C3—24no—
925C23×C3—28no—
926C23×C3—22no—
927C23×C3—24no—
928C23×C3—24no—
929C23×C3—24no—
930C23×C3—24no—
931C23×C3—28no—
932C23×C3—28no—
933C23×C3—24no—
934C23×C3—44no—
935C23×C3—42no—
936C23×C3—48no—
937C23×C3—42no—
938C23×C3—44no—
939C23×C3—48no—
940C23×C3—44no—
941C23×C3—48no—
942C23×C3—432no—
943C23×C3—432no—
944C23×C3—41no—
945C23×C3—42no—
946C23×C3—41no—
947C23×C3—42no—
948C23×C3—44no—
949C23×C3—44no—
950C23×C3—42no—
951C23×C3—42no—
952C23×C3—42no—
953C23×C3—42no—
954C23×C3—88no—
955C23×C3—88no—
956C23×C3—832no—
957C23×C3—84no—
958C23×C3—84no—
959C23×C3—84no—
960C23×C3—84no—
961C23×C3—84no—
962C23×C3—88no—
963C23×C3—816no—
964C23×C3—832no—
965C23×C3—832no—
966C23×C3—88no—
967C23×C3—832no—
968C23×C3—864no—
969C23×C3C2×#12011yescharacteristic
970C23×C3C2×#12111yescharacteristic
971C23×C3#52511yescharacteristic
972C23×C3D4212yes—
973C23×C3D4212yes—
974C3×Q8—42no—
975C3×Q8—42no—
976C3×Q8—42no—
977C3×Q8—42no—
978C3×D4—24no—
979C3×D4—24no—
980C3×D4—28no—
981C3×D4—28no—
982C3×D4—28no—
983C3×D4—24no—
984C3×D4—432no—
985C3×D4—42no—
986C3×D4—42no—
987C3×D4—42no—
988C3×D4—42no—
989C3×D4—42no—
990C3×D4—42no—
991C3×D4—44no—
992C3×D4—42no—
993C3×D4—42no—
994C3×D4—816no—
995C3×D4—82no—
996C3×D4—82no—
997C3×D4—82no—
998C3×D4—82no—
999C3×D4—164no—
1000C3×D4#39218yes—
1001C2×C3×C4—22no—
1002C2×C3×C4—24no—
1003C2×C3×C4—24no—
1004C2×C3×C4—41no—
1005C2×C3×C4—42no—
1006C2×C3×C4—41no—
1007C2×C3×C4—42no—
1008C2×C3×C4—42no—
1009C2×C3×C4—42no—
1010C2×C3×C4—44no—
1011C2×C3×C4—44no—
1012C2×C3×C4—42no—
1013C2×C3×C4—44no—
1014C2×C3×C4—44no—
1015C2×C3×C4—44no—
1016C2×C3×C4—44no—
1017C2×C3×C4—42no—
1018C2×C3×C4—42no—
1019C2×C3×C4—44no—
1020C2×C3×C4—42no—
1021C2×C3×C4—42no—
1022C2×C3×C4—42no—
1023C2×C3×C4—42no—
1024C2×C3×C4—84no—
1025C2×C3×C4—82no—
1026C2×C3×C4—82no—
1027C2×C3×C4—82no—
1028C2×C3×C4—82no—
1029C2×C3×C4—168no—
1030C2×C3×C4—168no—
1031C2×C3×C4C2×#12011yescharacteristic
1032C2×C3×C4C2×#12012yes—
1033C2×C3×C4C2×#12111yescharacteristic
1034C2×C3×C4C2×#12112yes—
1035C2×C3×C4C2×#12111yescharacteristic
1036C2×C3×C4#52511yescharacteristic
1037C2×C3×C4#52511yescharacteristic
1038C2×C3×C4C2×#12711yescharacteristic
1039C2×C3×C4#53412yes—
1040C2×C3×C4#53411yescharacteristic
1041C2×C3×C4#53511yescharacteristic
1042C2×C3×C4#53812yes—
1043C2×C3×C4D4212yes—
1044C2×C3×C4D4212yes—
1045C2×C3×C4#54612yes—
1046C2×C3×C4#54612yes—
1047C2×C3×C4#54612yes—
1048C2×C3×C4#54612yes—
1049C3×C8—44no—
1050C3×C8—44no—
1051C24—21no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—24no—
1057C24—24no—
1058C24—216no—
1059C24—22no—
1060C24—21no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—44no—
1066C24—416no—
1067C24—416no—
1068C24—48no—
1069C24—48no—
1070C24—416no—
1071C24—42no—
1072C24—42no—
1073C24—816no—
1074C24—816no—
1075C24—84no—
1076C24—84no—
1077C24—88no—
1078C24—816no—
1079C24—816no—
1080C24—832no—
1081C24C3×#12112yes—
1082C24C22×C3×D411yescharacteristic
1083#41—42no—
1084#41—42no—
1085#41—42no—
1086#41—42no—
1087#41—42no—
1088#41—42no—
1089#41—42no—
1090#41—42no—
1091#41—42no—
1092#41—42no—
1093#41—42no—
1094#41—42no—
1095#41—42no—
1096#41—42no—
1097#41—42no—
1098#41—42no—
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—22no—
1102C2×Q8—22no—
1103C2×Q8—22no—
1104C2×Q8—22no—
1105C2×D4—216no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—22no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—416no—
1135C2×D4—44no—
1136C2×D4—432no—
1137C2×D4—416no—
1138C2×D4—416no—
1139C2×D4—432no—
1140C2×D4—416no—
1141C2×D4—48no—
1142C2×D4—416no—
1143C2×D4—48no—
1144C2×D4—416no—
1145C2×D4—48no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—41no—
1153C2×D4—42no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—88no—
1161C2×D4C3×#12018yes—
1162C2×D4C3×#12014yes—
1163C2×D4C3×#12114yes—
1164C2×D4C3×#12118yes—
1165C2×D4C3×#12114yes—
1166C2×D4C3×#12714yes—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—48no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—48no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—88no—
1203C22×C4—88no—
1204C22×C4C3×#12014yes—
1205C22×C4C3×#12112yes—
1206C22×C4C22×C3×D411yescharacteristic
1207C22×C4C22×C3×D412yes—
1208C22×C4C22×C3×D411yescharacteristic
1209C22×C4C22×C3×D412yes—
1210C22×C4C22×C3×D411yescharacteristic
1211C22×C4C2×C3×#4111yescharacteristic
1212C22×C4C2×C3×#4111yescharacteristic
1213C22×C4C2×C3×#4111yescharacteristic
1214C22×C4C3×H(5,𝔽2)12yes—
1215C22×C4C3×H(5,𝔽2)12yes—
1216SD16—416no—
1217SD16—416no—
1218D8—416no—
1219D8—416no—
1220M16—24no—
1221M16—24no—
1222M16—42no—
1223M16—42no—
1224M16—42no—
1225M16—42no—
1226M16—42no—
1227M16—42no—
1228C2×C8—24no—
1229C2×C8—24no—
1230C2×C8—24no—
1231C2×C8—24no—
1232C2×C8—42no—
1233C2×C8—42no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—48no—
1239C4⋊C4—44no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C22⋊C4—24no—
1245C22⋊C4—24no—
1246C22⋊C4—24no—
1247C22⋊C4—48no—
1248C22⋊C4—48no—
1249C22⋊C4—48no—
1250C22⋊C4—48no—
1251C22⋊C4—48no—
1252C22⋊C4—48no—
1253C22⋊C4—48no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—88no—
1258C22⋊C4—88no—
1259C42—22no—
1260C42—22no—
1261C42—24no—
1262C42—24no—
1263C42—41no—
1264C42—42no—
1265C42—41no—
1266C42—42no—
1267C22×C3—22no—
1268C22×C3—24no—
1269C22×C3—28no—
1270C22×C3—24no—
1271C22×C3—28no—
1272C22×C3—41no—
1273C22×C3—41no—
1274C22×C3—42no—
1275C22×C3—48no—
1276C22×C3—48no—
1277C22×C3—44no—
1278C22×C3—44no—
1279C22×C3—42no—
1280C22×C3—48no—
1281C22×C3—48no—
1282C22×C3—48no—
1283C22×C3—44no—
1284C22×C3—42no—
1285C22×C3—44no—
1286C22×C3—88no—
1287C22×C3—88no—
1288C22×C3—84no—
1289C22×C3—88no—
1290C22×C3—88no—
1291C22×C3—84no—
1292C22×C3—864no—
1293C22×C3—84no—
1294C22×C3—84no—
1295C22×C3—82no—
1296C22×C3—162no—
1297C22×C3#240311yescharacteristic
1298C22×C3#241012yes—
1299C22×C3#242412yes—
1300C22×C3#243311yescharacteristic
1301C22×C3#284711yescharacteristic
1302C3×C4—44no—
1303C3×C4—42no—
1304C3×C4—82no—
1305C3×C4—82no—
1306C3×C4—84no—
1307C3×C4—82no—
1308C3×C4—82no—
1309C3×C4C2×#39211yescharacteristic
1310C3×C4#240411yescharacteristic
1311C3×C4#241012yes—
1312C3×C4#242412yes—
1313C3×C4#253911yescharacteristic
1314C3×C4#261711yescharacteristic
1315C23—24no—
1316C23—28no—
1317C23—24no—
1318C23—24no—
1319C23—24no—
1320C23—22no—
1321C23—24no—
1322C23—28no—
1323C23—28no—
1324C23—24no—
1325C23—44no—
1326C23—42no—
1327C23—48no—
1328C23—42no—
1329C23—44no—
1330C23—48no—
1331C23—44no—
1332C23—48no—
1333C23—432no—
1334C23—432no—
1335C23—41no—
1336C23—42no—
1337C23—41no—
1338C23—42no—
1339C23—44no—
1340C23—44no—
1341C23—42no—
1342C23—42no—
1343C23—42no—
1344C23—42no—
1345C23—88no—
1346C23—88no—
1347C23—832no—
1348C23—84no—
1349C23—84no—
1350C23—84no—
1351C23—84no—
1352C23—84no—
1353C23—88no—
1354C23—816no—
1355C23—832no—
1356C23—832no—
1357C23—88no—
1358C23—832no—
1359C23—864no—
1360C23C2×C3×#12011yescharacteristic
1361C23C2×C3×#12111yescharacteristic
1362C23C3×#52511yescharacteristic
1363C23C3×D4212yes—
1364C23C3×D4212yes—
1365Q8—42no—
1366Q8—42no—
1367Q8—42no—
1368Q8—42no—
1369D4—24no—
1370D4—24no—
1371D4—28no—
1372D4—28no—
1373D4—28no—
1374D4—24no—
1375D4—432no—
1376D4—42no—
1377D4—42no—
1378D4—42no—
1379D4—42no—
1380D4—42no—
1381D4—42no—
1382D4—44no—
1383D4—42no—
1384D4—42no—
1385D4—816no—
1386D4—82no—
1387D4—82no—
1388D4—82no—
1389D4—82no—
1390D4—164no—
1391D4C3×#39218yes—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—41no—
1396C2×C4—42no—
1397C2×C4—41no—
1398C2×C4—42no—
1399C2×C4—42no—
1400C2×C4—42no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—42no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—42no—
1409C2×C4—42no—
1410C2×C4—44no—
1411C2×C4—42no—
1412C2×C4—42no—
1413C2×C4—42no—
1414C2×C4—42no—
1415C2×C4—84no—
1416C2×C4—82no—
1417C2×C4—82no—
1418C2×C4—82no—
1419C2×C4—82no—
1420C2×C4—168no—
1421C2×C4—168no—
1422C2×C4C2×C3×#12011yescharacteristic
1423C2×C4C2×C3×#12012yes—
1424C2×C4C2×C3×#12111yescharacteristic
1425C2×C4C2×C3×#12112yes—
1426C2×C4C2×C3×#12111yescharacteristic
1427C2×C4C3×#52511yescharacteristic
1428C2×C4C3×#52511yescharacteristic
1429C2×C4C2×C3×#12711yescharacteristic
1430C2×C4C3×#53412yes—
1431C2×C4C3×#53411yescharacteristic
1432C2×C4C3×#53511yescharacteristic
1433C2×C4C3×#53812yes—
1434C2×C4C3×D4212yes—
1435C2×C4C3×D4212yes—
1436C2×C4C3×#54612yes—
1437C2×C4C3×#54612yes—
1438C2×C4C3×#54612yes—
1439C2×C4C3×#54612yes—
1440C8—44no—
1441C8—44no—
1442C2×C3—21no—
1443C2×C3—22no—
1444C2×C3—21no—
1445C2×C3—22no—
1446C2×C3—44no—
1447C2×C3—48no—
1448C2×C3—84no—
1449C2×C3—162no—
1450C2×C3#1471611yescharacteristic
1451C2×C3#2388212yes—
1452C22—22no—
1453C22—24no—
1454C22—28no—
1455C22—24no—
1456C22—28no—
1457C22—41no—
1458C22—41no—
1459C22—42no—
1460C22—48no—
1461C22—44no—
1462C22—44no—
1463C22—42no—
1464C22—48no—
1465C22—48no—
1466C22—48no—
1467C22—48no—
1468C22—44no—
1469C22—42no—
1470C22—44no—
1471C22—88no—
1472C22—88no—
1473C22—84no—
1474C22—88no—
1475C22—88no—
1476C22—84no—
1477C22—864no—
1478C22—84no—
1479C22—84no—
1480C22—82no—
1481C22—162no—
1482C22C3×#240311yescharacteristic
1483C22C3×#241012yes—
1484C22C3×#242412yes—
1485C22C3×#243311yescharacteristic
1486C22C3×#284711yescharacteristic
1487C4—44no—
1488C4—42no—
1489C4—82no—
1490C4—82no—
1491C4—84no—
1492C4—82no—
1493C4—82no—
1494C4C2×C3×#39211yescharacteristic
1495C4C3×#240411yescharacteristic
1496C4C3×#241012yes—
1497C4C3×#242412yes—
1498C4C3×#253911yescharacteristic
1499C4C3×#261711yescharacteristic
1500C3#39424911yescharacteristic, direct product factor, Sylow
1501C2—21no—
1502C2—22no—
1503C2—21no—
1504C2—22no—
1505C2—44no—
1506C2—48no—
1507C2—84no—
1508C2—162no—
1509C2C3×#1471611yescharacteristic
1510C2C3×#2388212yes—
subgroupG/H
center, socleC22×C3#2403
commutator, Frattini, cosocleC23×C4C24×C3
LCSG ▷ C23×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#60423C2semidirect
2. C2×C3×#3003C2semidirect
3. C3×#34171C2semidirect
4. C3×#23443C2semidirect
5. C3×#23407C2semidirect
6. C2×C3×#1904C2semidirect
7. C3×#11073C2semidirect
8. C3×#11071C2semidirect
9. C3×#11030C2semidirect
10. C3×#10994C2semidirect
11. C3×#10776C2semidirect
12. #394249C3direct (N × H)
16. C3×#3449C22semidirect
27. C3×#2905C22semidirect
28. C2×C3×#421C22semidirect
29. C3×#2896C22semidirect
32. C2×C3×#410C22semidirect
46. C2×C3×#344C22semidirect
47. C3×#1742C22semidirect
48. C3×#1740C22semidirect
49. C3×#1733C22semidirect
50. C2×C3×H(3,ℤ/4)C22semidirect
51. #60423C2×C3semidirect
52. C2×#3003C2×C3semidirect
53. #34171C2×C3semidirect
54. #23443C2×C3semidirect
55. #23407C2×C3semidirect
56. C2×#1904C2×C3semidirect
57. #11073C2×C3semidirect
58. #11071C2×C3semidirect
59. #11030C2×C3semidirect
60. #10994C2×C3semidirect
61. #10776C2×C3semidirect
74. C23×C3×D4D4semidirect
91. C22×C3×SD16D4semidirect
93. C22×C3×D8D4semidirect
118. C2×C3×C4×D4D4semidirect
142. C3×#418D4semidirect
156. C3×#390D4semidirect
178. #3449C22×C3semidirect
189. #2905C22×C3semidirect
190. C2×#421C22×C3semidirect
191. #2896C22×C3semidirect
194. C2×#410C22×C3semidirect
208. C2×#344C22×C3semidirect
209. #1742C22×C3semidirect
210. #1740C22×C3semidirect
211. #1733C22×C3semidirect
212. C2×H(3,ℤ/4)C22×C3semidirect
416. C23×D4C3×D4semidirect
433. C22×SD16C3×D4semidirect
435. C22×D8C3×D4semidirect
460. C2×C4×D4C3×D4semidirect
484. #418C3×D4semidirect
498. #390C3×D4semidirect
1500. C3#394249direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#604232
C2×C3×#30032
C3×#341712
C3×#234432
C3×#234072
C2×C3×#19042
C3×#110732
C3×#110712
C3×#110302
C3×#109942
C3×#107762
#3942493