Finite Group Databasebeta

← C3×#394602 #72270366

Subgroups — C3×#394602 #72270366

Order 1536.

5398 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3003C211yesmaximal, characteristic
2C22×C3×#418C211yesmaximal, characteristic, complemented
3C2×C3×#2048C212yesmaximal, complemented
4C3×#20989C211yesmaximal, characteristic, complemented
5C3×#20979C211yesmaximal, characteristic, complemented
6C3×#20851C211yesmaximal, characteristic, complemented
7C2×C3×#1783C211yesmaximal, characteristic, complemented
8C3×#11187C212yesmaximal, complemented
9C3×#11142C212yesmaximal, complemented
10C3×#11034C212yesmaximal, complemented
11C3×#10738C211yesmaximal, characteristic, complemented
12#394602C311yesmaximal, characteristic, direct product factor, Sylow
13C24×C3×D4C2211yescharacteristic
14C22×C3×AGL(1,ℤ/8)C2211yescharacteristic
15C22×C3×AGL(1,ℤ/8)C2211yescharacteristic
16C23×C3×M16C2211yescharacteristic
17C2×C3×#525C2211yescharacteristic
18C22×C3×#117C2211yescharacteristic
19C3×#3003—24no—
20C3×#3003—22no—
21C3×#3003—22no—
22C2×C3×#450—22no—
23C2×C3×#447—22no—
24C2×C3×#430C2212yescomplemented
25C2×C3×#421C2212yescomplemented
26C2×C3×#418—28no—
27C2×C3×#418—22no—
28C2×C3×#418C2212yes—
29C2×C3×#418C2211yescharacteristic
30C2×C3×#418C2211yescharacteristic
31C2×C3×#418C2212yes—
32C22×C3×#102—22no—
33C2×C3×#413C2212yescomplemented
34C22×C3×#100C2212yes—
35C22×C3×#100C2212yes—
36C2×C3×#407C2211yescharacteristic
37C2×C3×#407C2211yescharacteristic
38C2×C3×#407C2211yescharacteristic
39C3×#2048—28no—
40C3×#1901—22no—
41C3×#1900—22no—
42C3×#1897—22no—
43C3×#1896—22no—
44C3×#1855—24no—
45C3×#1783—22no—
46C3×#1783—22no—
47C2×C3×#344C2212yescomplemented
48C2×C3×#344C2212yescomplemented
49C3×#1742C2212yescomplemented
50C3×#1738C2212yescomplemented
51C3×#1733C2212yescomplemented
52C2×#3003C2×C311yescharacteristic
53C22×#418C2×C311yescharacteristic, complemented
54C2×#2048C2×C312yescomplemented
55#20989C2×C311yescharacteristic, complemented
56#20979C2×C311yescharacteristic, complemented
57#20851C2×C311yescharacteristic, complemented
58C2×#1783C2×C311yescharacteristic, complemented
59#11187C2×C312yescomplemented
60#11142C2×C312yescomplemented
61#11034C2×C312yescomplemented
62#10738C2×C311yescharacteristic, complemented
63C26×C3—21no—
64C22×C3×#41C2311yescharacteristic
65C23×C3×D4—21no—
66C23×C3×D4—21no—
67C23×C3×D4—21no—
68C23×C3×D4—24no—
69C23×C3×D4—24no—
70C23×C3×D4—22no—
71C23×C3×D4—22no—
72C23×C3×D4—22no—
73C23×C3×D4—22no—
74C23×C3×D4—42no—
75C23×C3×D4—42no—
76C23×C3×D4D412yes—
77C23×C3×D4D412yes—
78C23×C3×D4C2311yescharacteristic
79C23×C3×D4C2311yescharacteristic
80C24×C3×C4C2311yescharacteristic
81C2×C3×AGL(1,ℤ/8)—22no—
82C2×C3×AGL(1,ℤ/8)—22no—
83C2×C3×AGL(1,ℤ/8)—24no—
84C2×C3×AGL(1,ℤ/8)—24no—
85C2×C3×AGL(1,ℤ/8)—22no—
86C2×C3×AGL(1,ℤ/8)—22no—
87C2×C3×AGL(1,ℤ/8)—42no—
88C2×C3×AGL(1,ℤ/8)—42no—
89C22×C3×SD16—21no—
90C22×C3×SD16—21no—
91C22×C3×D8—21no—
92C22×C3×D8—21no—
93C22×C3×M16—21no—
94C22×C3×M16—24no—
95C22×C3×M16—22no—
96C22×C3×M16—22no—
97C22×C3×M16—42no—
98C22×C3×M16C2312yes—
99C22×C3×M16C2312yes—
100C22×C3×M16C2311yescharacteristic
101C22×C3×M16C2312yes—
102C22×C3×M16C2311yescharacteristic
103C23×C3×C8—21no—
104C3×#525—22no—
105C3×#525—21no—
106C3×#525—21no—
107C3×#525—21no—
108C3×#525—21no—
109C3×#525—22no—
110C2×C3×#123—21no—
111C2×C3×C22⋊Q8D412yes—
112C2×C3×#121D412yes—
113C2×C3×#120—21no—
114C2×C3×C4×D4—22no—
115C2×C3×#117—21no—
116C2×C3×#117—21no—
117C2×C3×#117—21no—
118C2×C3×#117—24no—
119C2×C3×#117—42no—
120C2×C3×#117C2312yes—
121C2×C3×#117C2311yescharacteristic
122C22×C3×C4⋊C4—21no—
123C22×C3×C22⋊C4—21no—
124C22×C3×C42—21no—
125C3×#450—28no—
126C3×#450—28no—
127C3×#447—28no—
128C3×#447—28no—
129C3×#430—24no—
130C3×#430—42no—
131C2×C3×#108—24no—
132C3×#421—24no—
133C3×#421—42no—
134C2×C3×#104—24no—
135C3×#418—216no—
136C3×#418—24no—
137C3×#418—22no—
138C3×#418—22no—
139C3×#418—24no—
140C3×#418—22no—
141C3×#418—22no—
142C3×#418—24no—
143C3×#418D418yescomplemented
144C2×C3×#102—216no—
145C2×C3×#102—24no—
146C2×C3×#102—24no—
147C2×C3×#102—22no—
148C2×C3×#102—22no—
149C3×#413—24no—
150C3×#413—42no—
151C2×C3×#101—22no—
152C2×C3×#100—24no—
153C2×C3×#100—22no—
154C2×C3×#100—24no—
155C2×C3×#100—24no—
156C2×C3×#100—24no—
157C2×C3×#100—42no—
158C2×C3×#100—42no—
159C3×#407—21no—
160C3×#407—21no—
161C3×#407—22no—
162C3×#407—21no—
163C3×#407—21no—
164C3×#407—22no—
165C3×#407D412yes—
166C3×#407D412yes—
167C3×#407D414yes—
168C2×C3×C22⋊C8—22no—
169C2×C3×C22⋊C8—22no—
170C2×C3×C22⋊C8—22no—
171C3×#344—24no—
172C3×#344—42no—
173C3×#343—24no—
174C3×#341—24no—
175C3×#339—24no—
176C24×D4C22×C311yescharacteristic
177C22×AGL(1,ℤ/8)C22×C311yescharacteristic
178C22×AGL(1,ℤ/8)C22×C311yescharacteristic
179C23×M16C22×C311yescharacteristic
180C2×#525C22×C311yescharacteristic
181C22×#117C22×C311yescharacteristic
182#3003—24no—
183#3003—22no—
184#3003—22no—
185C2×#450—22no—
186C2×#447—22no—
187C2×#430C22×C312yescomplemented
188C2×#421C22×C312yescomplemented
189C2×#418—28no—
190C2×#418—22no—
191C2×#418C22×C312yes—
192C2×#418C22×C311yescharacteristic
193C2×#418C22×C311yescharacteristic
194C2×#418C22×C312yes—
195C22×#102—22no—
196C2×#413C22×C312yescomplemented
197C22×#100C22×C312yes—
198C22×#100C22×C312yes—
199C2×#407C22×C311yescharacteristic
200C2×#407C22×C311yescharacteristic
201C2×#407C22×C311yescharacteristic
202#2048—28no—
203#1901—22no—
204#1900—22no—
205#1897—22no—
206#1896—22no—
207#1855—24no—
208#1783—22no—
209#1783—22no—
210C2×#344C22×C312yescomplemented
211C2×#344C22×C312yescomplemented
212#1742C22×C312yescomplemented
213#1738C22×C312yescomplemented
214#1733C22×C312yescomplemented
215C25×C3—21no—
216C25×C3—21no—
217C25×C3—22no—
218C25×C3—22no—
219C25×C3—44no—
220C25×C3—44no—
221C25×C3—42no—
222C25×C3—42no—
223C25×C3—88no—
224C25×C3#4111yescharacteristic
225C2×C3×#41—21no—
226C2×C3×#41—21no—
227C2×C3×#41—22no—
228C2×C3×#41—21no—
229C2×C3×#41—22no—
230C2×C3×#41—21no—
231C2×C3×#41—22no—
232C2×C3×#41—22no—
233C22×C3×Q8C2×D411yescharacteristic
234C22×C3×D4—216no—
235C22×C3×D4—216no—
236C22×C3×D4—24no—
237C22×C3×D4—24no—
238C22×C3×D4—24no—
239C22×C3×D4—24no—
240C22×C3×D4—21no—
241C22×C3×D4—22no—
242C22×C3×D4—24no—
243C22×C3×D4—24no—
244C22×C3×D4—22no—
245C22×C3×D4—22no—
246C22×C3×D4—24no—
247C22×C3×D4—24no—
248C22×C3×D4—21no—
249C22×C3×D4—21no—
250C22×C3×D4—21no—
251C22×C3×D4—21no—
252C22×C3×D4—22no—
253C22×C3×D4—21no—
254C22×C3×D4—21no—
255C22×C3×D4—21no—
256C22×C3×D4—21no—
257C22×C3×D4—21no—
258C22×C3×D4—21no—
259C22×C3×D4—22no—
260C22×C3×D4—22no—
261C22×C3×D4—22no—
262C22×C3×D4—22no—
263C22×C3×D4—22no—
264C22×C3×D4—42no—
265C22×C3×D4—42no—
266C22×C3×D4—42no—
267C22×C3×D4—42no—
268C22×C3×D4—44no—
269C22×C3×D4—44no—
270C22×C3×D4—48no—
271C22×C3×D4—48no—
272C22×C3×D4—48no—
273C22×C3×D4—48no—
274C22×C3×D4—44no—
275C22×C3×D4—44no—
276C22×C3×D4—44no—
277C22×C3×D4—44no—
278C22×C3×D4—48no—
279C22×C3×D4—48no—
280C22×C3×D4—42no—
281C22×C3×D4—42no—
282C22×C3×D4—42no—
283C22×C3×D4—42no—
284C22×C3×D4—42no—
285C22×C3×D4—42no—
286C22×C3×D4C2×D411yescharacteristic
287C22×C3×D4C2×D414yes—
288C22×C3×D4C2×D412yes—
289C22×C3×D4C2×D412yes—
290C22×C3×D4#4114yes—
291C23×C3×C4—22no—
292C23×C3×C4—22no—
293C23×C3×C4—22no—
294C23×C3×C4—22no—
295C23×C3×C4—21no—
296C23×C3×C4—41no—
297C23×C3×C4C2×D412yes—
298C23×C3×C4C2×D412yes—
299C23×C3×C4C2×D411yescharacteristic
300C23×C3×C4C2×D411yescharacteristic
301C23×C3×C4C2×D411yescharacteristic
302C23×C3×C4C2×D411yescharacteristic
303C23×C3×C4#4112yes—
304C23×C3×C4#4111yescharacteristic
305C23×C3×C4#4112yes—
306C23×C3×C4C2411yescharacteristic
307C3×AGL(1,ℤ/8)—48no—
308C3×AGL(1,ℤ/8)—48no—
309C3×AGL(1,ℤ/8)—44no—
310C3×AGL(1,ℤ/8)—44no—
311C3×AGL(1,ℤ/8)—44no—
312C3×AGL(1,ℤ/8)—44no—
313C2×C3×SD16—24no—
314C2×C3×SD16—24no—
315C2×C3×SD16—44no—
316C2×C3×SD16—44no—
317C2×C3×D8—24no—
318C2×C3×D8—24no—
319C2×C3×D8—44no—
320C2×C3×D8—44no—
321C2×C3×M16—24no—
322C2×C3×M16—22no—
323C2×C3×M16—21no—
324C2×C3×M16—21no—
325C2×C3×M16—22no—
326C2×C3×M16—22no—
327C2×C3×M16—22no—
328C2×C3×M16—22no—
329C2×C3×M16—22no—
330C2×C3×M16—22no—
331C2×C3×M16—22no—
332C2×C3×M16—22no—
333C2×C3×M16—22no—
334C2×C3×M16—22no—
335C2×C3×M16—22no—
336C2×C3×M16—22no—
337C2×C3×M16—22no—
338C2×C3×M16—22no—
339C2×C3×M16—22no—
340C2×C3×M16—22no—
341C2×C3×M16—22no—
342C2×C3×M16—22no—
343C2×C3×M16—22no—
344C2×C3×M16—48no—
345C2×C3×M16—48no—
346C2×C3×M16—42no—
347C2×C3×M16—42no—
348C2×C3×M16C2×D414yes—
349C2×C3×M16C2×D412yes—
350C2×C3×M16C2×D412yes—
351C2×C3×M16C2×D414yes—
352C22×C3×C8—24no—
353C22×C3×C8—22no—
354C22×C3×C8—21no—
355C22×C3×C8—21no—
356C22×C3×C8—22no—
357C22×C3×C8—22no—
358C22×C3×C8—42no—
359C22×C3×C8—42no—
360C3×#123—41no—
361C3×#123—41no—
362C3×#123—42no—
363C3×C22⋊Q8—22no—
364C3×C22⋊Q8—22no—
365C3×C22⋊Q8—22no—
366C3×C22⋊Q8—22no—
367C3×#121—22no—
368C3×#121—22no—
369C3×#121—22no—
370C3×#121—22no—
371C3×#120—41no—
372C3×#120—41no—
373C3×#120—42no—
374C3×C4×D4—42no—
375C3×C4×D4—42no—
376C3×C4×D4—42no—
377C3×C4×D4—42no—
378C3×#117—22no—
379C3×#117—22no—
380C3×#117—24no—
381C3×#117—22no—
382C3×#117—21no—
383C3×#117—21no—
384C3×#117—21no—
385C3×#117—21no—
386C3×#117—44no—
387C3×#117—44no—
388C3×#117—42no—
389C3×#117C2×D414yes—
390C2×C3×C4⋊C4—24no—
391C2×C3×C4⋊C4—22no—
392C2×C3×C4⋊C4—22no—
393C2×C3×C4⋊C4—42no—
394C2×C3×C4⋊C4—41no—
395C2×C3×C4⋊C4C2×D412yes—
396C2×C3×C22⋊C4—22no—
397C2×C3×C22⋊C4—22no—
398C2×C3×C22⋊C4—21no—
399C2×C3×C22⋊C4—22no—
400C2×C3×C22⋊C4—44no—
401C2×C3×C22⋊C4—41no—
402C2×C3×C42—22no—
403C2×C3×C42—21no—
404C2×C3×C42—44no—
405C2×C3×C42—41no—
406C3×#108—48no—
407C3×#104—48no—
408C3×#102—216no—
409C3×#102—28no—
410C3×#102—28no—
411C3×#102—216no—
412C3×#101—44no—
413C3×#100—48no—
414C3×#100—48no—
415C3×#100—44no—
416C3×C22⋊C8—24no—
417C3×C22⋊C8—24no—
418C3×C22⋊C8—24no—
419C3×C22⋊C8—24no—
420C3×C22⋊C8—42no—
421C3×C22⋊C8—42no—
422C26—21no—
423C22×#41C23×C311yescharacteristic
424C23×D4—24no—
425C23×D4—24no—
426C23×D4—22no—
427C23×D4—22no—
428C23×D4—21no—
429C23×D4—21no—
430C23×D4—22no—
431C23×D4—22no—
432C23×D4—21no—
433C23×D4—42no—
434C23×D4—42no—
435C23×D4C3×D412yes—
436C23×D4C3×D412yes—
437C23×D4C23×C311yescharacteristic
438C23×D4C23×C311yescharacteristic
439C24×C4C23×C311yescharacteristic
440C2×AGL(1,ℤ/8)—22no—
441C2×AGL(1,ℤ/8)—22no—
442C2×AGL(1,ℤ/8)—24no—
443C2×AGL(1,ℤ/8)—24no—
444C2×AGL(1,ℤ/8)—22no—
445C2×AGL(1,ℤ/8)—22no—
446C2×AGL(1,ℤ/8)—42no—
447C2×AGL(1,ℤ/8)—42no—
448C22×SD16—21no—
449C22×SD16—21no—
450C22×D8—21no—
451C22×D8—21no—
452C22×M16—21no—
453C22×M16—24no—
454C22×M16—22no—
455C22×M16—22no—
456C22×M16—42no—
457C22×M16C23×C312yes—
458C22×M16C23×C312yes—
459C22×M16C23×C311yescharacteristic
460C22×M16C23×C311yescharacteristic
461C22×M16C23×C312yes—
462C23×C8—21no—
463#525—21no—
464#525—21no—
465#525—22no—
466#525—21no—
467#525—21no—
468#525—22no—
469C2×#123—21no—
470C2×C22⋊Q8C3×D412yes—
471C2×#121C3×D412yes—
472C2×#120—21no—
473C2×C4×D4—22no—
474C2×#117—21no—
475C2×#117—21no—
476C2×#117—21no—
477C2×#117—24no—
478C2×#117—42no—
479C2×#117C23×C312yes—
480C2×#117C23×C311yescharacteristic
481C22×C4⋊C4—21no—
482C22×C22⋊C4—21no—
483C22×C42—21no—
484#450—28no—
485#450—28no—
486#447—28no—
487#447—28no—
488#430—24no—
489#430—42no—
490C2×#108—24no—
491#421—24no—
492#421—42no—
493C2×#104—24no—
494#418—216no—
495#418—24no—
496#418—22no—
497#418—22no—
498#418—24no—
499#418—22no—
500#418—22no—
501#418—24no—
502#418C3×D418yescomplemented
503C2×#102—216no—
504C2×#102—24no—
505C2×#102—24no—
506C2×#102—22no—
507C2×#102—22no—
508#413—24no—
509#413—42no—
510C2×#101—22no—
511C2×#100—24no—
512C2×#100—22no—
513C2×#100—24no—
514C2×#100—24no—
515C2×#100—24no—
516C2×#100—42no—
517C2×#100—42no—
518#407—21no—
519#407—21no—
520#407—22no—
521#407—22no—
522#407—21no—
523#407—21no—
524#407C3×D414yes—
525#407C3×D412yes—
526#407C3×D412yes—
527C2×C22⋊C8—22no—
528C2×C22⋊C8—22no—
529C2×C22⋊C8—22no—
530#344—24no—
531#344—42no—
532#343—24no—
533#341—24no—
534#339—24no—
535C24×C3—22no—
536C24×C3—22no—
537C24×C3—22no—
538C24×C3—22no—
539C24×C3—24no—
540C24×C3—24no—
541C24×C3—21no—
542C24×C3—44no—
543C24×C3—44no—
544C24×C3—44no—
545C24×C3—44no—
546C24×C3—44no—
547C24×C3—416no—
548C24×C3—416no—
549C24×C3—41no—
550C24×C3—41no—
551C24×C3—41no—
552C24×C3—41no—
553C24×C3—42no—
554C24×C3—42no—
555C24×C3—44no—
556C24×C3—44no—
557C24×C3—88no—
558C24×C3—88no—
559C24×C3—88no—
560C24×C3—88no—
561C24×C3—84no—
562C24×C3—84no—
563C24×C3—88no—
564C24×C3—88no—
565C24×C3—832no—
566C24×C3—832no—
567C24×C3#12111yescharacteristic
568C24×C3#12111yescharacteristic
569C24×C3#12312yes—
570C24×C3#12412yes—
571C24×C3C2×#4111yescharacteristic
572C3×#41—41no—
573C3×#41—41no—
574C3×#41—42no—
575C3×#41—41no—
576C3×#41—41no—
577C3×#41—42no—
578C3×#41—42no—
579C3×#41—42no—
580C3×#41—42no—
581C3×#41—42no—
582C2×C3×Q8—21no—
583C2×C3×Q8—21no—
584C2×C3×Q8—22no—
585C2×C3×Q8—22no—
586C2×C3×D4—216no—
587C2×C3×D4—216no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—21no—
592C2×C3×D4—21no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—22no—
596C2×C3×D4—24no—
597C2×C3×D4—24no—
598C2×C3×D4—24no—
599C2×C3×D4—24no—
600C2×C3×D4—22no—
601C2×C3×D4—22no—
602C2×C3×D4—22no—
603C2×C3×D4—22no—
604C2×C3×D4—24no—
605C2×C3×D4—24no—
606C2×C3×D4—24no—
607C2×C3×D4—22no—
608C2×C3×D4—24no—
609C2×C3×D4—24no—
610C2×C3×D4—24no—
611C2×C3×D4—22no—
612C2×C3×D4—48no—
613C2×C3×D4—48no—
614C2×C3×D4—48no—
615C2×C3×D4—48no—
616C2×C3×D4—44no—
617C2×C3×D4—44no—
618C2×C3×D4—44no—
619C2×C3×D4—44no—
620C2×C3×D4—416no—
621C2×C3×D4—416no—
622C2×C3×D4—48no—
623C2×C3×D4—48no—
624C2×C3×D4—416no—
625C2×C3×D4—416no—
626C2×C3×D4—416no—
627C2×C3×D4—416no—
628C2×C3×D4—41no—
629C2×C3×D4—41no—
630C2×C3×D4—42no—
631C2×C3×D4—42no—
632C2×C3×D4—42no—
633C2×C3×D4—42no—
634C2×C3×D4—41no—
635C2×C3×D4—41no—
636C2×C3×D4—41no—
637C2×C3×D4—41no—
638C2×C3×D4—42no—
639C2×C3×D4—42no—
640C2×C3×D4—42no—
641C2×C3×D4—42no—
642C2×C3×D4—42no—
643C2×C3×D4—42no—
644C2×C3×D4—42no—
645C2×C3×D4—42no—
646C2×C3×D4—42no—
647C2×C3×D4—42no—
648C2×C3×D4—44no—
649C2×C3×D4—44no—
650C2×C3×D4—84no—
651C2×C3×D4#12014yes—
652C2×C3×D4#12314yes—
653C22×C3×C4—22no—
654C22×C3×C4—22no—
655C22×C3×C4—21no—
656C22×C3×C4—21no—
657C22×C3×C4—21no—
658C22×C3×C4—21no—
659C22×C3×C4—24no—
660C22×C3×C4—24no—
661C22×C3×C4—21no—
662C22×C3×C4—21no—
663C22×C3×C4—21no—
664C22×C3×C4—21no—
665C22×C3×C4—24no—
666C22×C3×C4—24no—
667C22×C3×C4—22no—
668C22×C3×C4—22no—
669C22×C3×C4—24no—
670C22×C3×C4—24no—
671C22×C3×C4—22no—
672C22×C3×C4—22no—
673C22×C3×C4—24no—
674C22×C3×C4—24no—
675C22×C3×C4—21no—
676C22×C3×C4—22no—
677C22×C3×C4—44no—
678C22×C3×C4—42no—
679C22×C3×C4—41no—
680C22×C3×C4—41no—
681C22×C3×C4—42no—
682C22×C3×C4—42no—
683C22×C3×C4—84no—
684C22×C3×C4#12012yes—
685C22×C3×C4#12012yes—
686C22×C3×C4#12112yes—
687C22×C3×C4#12112yes—
688C22×C3×C4#12112yes—
689C22×C3×C4#12112yes—
690C22×C3×C4#12111yescharacteristic
691C22×C3×C4#12111yescharacteristic
692C22×C3×C4#12312yes—
693C22×C3×C4#12312yes—
694C22×C3×C4#12312yes—
695C22×C3×C4#12412yes—
696C22×C3×C4C22×D411yescharacteristic
697C22×C3×C4C22×D411yescharacteristic
698C22×C3×C4C22×D411yescharacteristic
699C22×C3×C4C22×D412yes—
700C22×C3×C4C22×D411yescharacteristic
701C22×C3×C4C2×#4111yescharacteristic
702C22×C3×C4C2×#4111yescharacteristic
703C22×C3×C4C2×#4112yes—
704C22×C3×C4H(5,𝔽2)12yes—
705C22×C3×C4H(5,𝔽2)12yes—
706C3×SD16—48no—
707C3×SD16—48no—
708C3×D8—48no—
709C3×D8—48no—
710C3×M16—24no—
711C3×M16—24no—
712C3×M16—24no—
713C3×M16—24no—
714C3×M16—24no—
715C3×M16—24no—
716C3×M16—48no—
717C3×M16—41no—
718C3×M16—41no—
719C3×M16—42no—
720C3×M16—41no—
721C3×M16—41no—
722C3×M16—42no—
723C3×M16—42no—
724C3×M16—42no—
725C3×M16—42no—
726C3×M16—42no—
727C3×M16—42no—
728C3×M16—42no—
729C2×C3×C8—22no—
730C2×C3×C8—22no—
731C2×C3×C8—24no—
732C2×C3×C8—24no—
733C2×C3×C8—48no—
734C2×C3×C8—42no—
735C2×C3×C8—42no—
736C2×C3×C8—42no—
737C2×C3×C8—42no—
738C2×C3×C8—42no—
739C2×C3×C8—42no—
740C2×C3×C8—42no—
741C2×C3×C8—42no—
742C2×C3×C8—42no—
743C3×C4⋊C4—24no—
744C3×C4⋊C4—22no—
745C3×C4⋊C4—22no—
746C3×C4⋊C4—44no—
747C3×C4⋊C4—42no—
748C3×C4⋊C4—42no—
749C3×C4⋊C4—42no—
750C3×C22⋊C4—24no—
751C3×C22⋊C4—44no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—42no—
755C3×C22⋊C4—42no—
756C3×C22⋊C4—42no—
757C3×C22⋊C4—42no—
758C3×C22⋊C4—42no—
759C3×C42—24no—
760C3×C42—44no—
761C3×C42—41no—
762C3×C42—41no—
763C3×C42—42no—
764C25—21no—
765C25—21no—
766C25—22no—
767C25—22no—
768C25—44no—
769C25—44no—
770C25—42no—
771C25—42no—
772C25—88no—
773C25C3×#4111yescharacteristic
774C2×#41—21no—
775C2×#41—21no—
776C2×#41—21no—
777C2×#41—22no—
778C2×#41—21no—
779C2×#41—22no—
780C2×#41—22no—
781C2×#41—22no—
782C22×Q8C2×C3×D411yescharacteristic
783C22×D4—216no—
784C22×D4—216no—
785C22×D4—24no—
786C22×D4—24no—
787C22×D4—24no—
788C22×D4—24no—
789C22×D4—21no—
790C22×D4—22no—
791C22×D4—24no—
792C22×D4—24no—
793C22×D4—22no—
794C22×D4—22no—
795C22×D4—24no—
796C22×D4—24no—
797C22×D4—21no—
798C22×D4—21no—
799C22×D4—21no—
800C22×D4—21no—
801C22×D4—22no—
802C22×D4—21no—
803C22×D4—21no—
804C22×D4—21no—
805C22×D4—21no—
806C22×D4—21no—
807C22×D4—21no—
808C22×D4—22no—
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—42no—
814C22×D4—42no—
815C22×D4—42no—
816C22×D4—42no—
817C22×D4—44no—
818C22×D4—44no—
819C22×D4—48no—
820C22×D4—48no—
821C22×D4—48no—
822C22×D4—48no—
823C22×D4—44no—
824C22×D4—44no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4—48no—
828C22×D4—48no—
829C22×D4—42no—
830C22×D4—42no—
831C22×D4—42no—
832C22×D4—42no—
833C22×D4—42no—
834C22×D4—42no—
835C22×D4C2×C3×D411yescharacteristic
836C22×D4C2×C3×D414yes—
837C22×D4C2×C3×D412yes—
838C22×D4C2×C3×D412yes—
839C22×D4C3×#4114yes—
840C23×C4—22no—
841C23×C4—22no—
842C23×C4—22no—
843C23×C4—22no—
844C23×C4—21no—
845C23×C4—41no—
846C23×C4C2×C3×D412yes—
847C23×C4C2×C3×D412yes—
848C23×C4C2×C3×D411yescharacteristic
849C23×C4C2×C3×D411yescharacteristic
850C23×C4C2×C3×D411yescharacteristic
851C23×C4C2×C3×D411yescharacteristic
852C23×C4C3×#4112yes—
853C23×C4C3×#4111yescharacteristic
854C23×C4C3×#4112yes—
855C23×C4C24×C311yescharacteristic
856AGL(1,ℤ/8)—48no—
857AGL(1,ℤ/8)—48no—
858AGL(1,ℤ/8)—44no—
859AGL(1,ℤ/8)—44no—
860AGL(1,ℤ/8)—44no—
861AGL(1,ℤ/8)—44no—
862C2×SD16—24no—
863C2×SD16—24no—
864C2×SD16—44no—
865C2×SD16—44no—
866C2×D8—24no—
867C2×D8—24no—
868C2×D8—44no—
869C2×D8—44no—
870C2×M16—24no—
871C2×M16—22no—
872C2×M16—21no—
873C2×M16—21no—
874C2×M16—22no—
875C2×M16—22no—
876C2×M16—22no—
877C2×M16—22no—
878C2×M16—22no—
879C2×M16—22no—
880C2×M16—22no—
881C2×M16—22no—
882C2×M16—22no—
883C2×M16—22no—
884C2×M16—22no—
885C2×M16—22no—
886C2×M16—22no—
887C2×M16—22no—
888C2×M16—22no—
889C2×M16—22no—
890C2×M16—22no—
891C2×M16—22no—
892C2×M16—22no—
893C2×M16—48no—
894C2×M16—48no—
895C2×M16—42no—
896C2×M16—42no—
897C2×M16C2×C3×D414yes—
898C2×M16C2×C3×D412yes—
899C2×M16C2×C3×D412yes—
900C2×M16C2×C3×D414yes—
901C22×C8—24no—
902C22×C8—22no—
903C22×C8—21no—
904C22×C8—21no—
905C22×C8—22no—
906C22×C8—22no—
907C22×C8—42no—
908C22×C8—42no—
909#123—41no—
910#123—41no—
911#123—42no—
912C22⋊Q8—22no—
913C22⋊Q8—22no—
914C22⋊Q8—22no—
915C22⋊Q8—22no—
916#121—22no—
917#121—22no—
918#121—22no—
919#121—22no—
920#120—41no—
921#120—41no—
922#120—42no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927#117—22no—
928#117—22no—
929#117—24no—
930#117—22no—
931#117—21no—
932#117—21no—
933#117—21no—
934#117—21no—
935#117—44no—
936#117—44no—
937#117—42no—
938#117C2×C3×D414yes—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—22no—
941C2×C4⋊C4—22no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4—41no—
944C2×C4⋊C4C2×C3×D412yes—
945C2×C22⋊C4—22no—
946C2×C22⋊C4—22no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—22no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—41no—
951C2×C42—22no—
952C2×C42—21no—
953C2×C42—44no—
954C2×C42—41no—
955#108—48no—
956#104—48no—
957#102—216no—
958#102—28no—
959#102—28no—
960#102—216no—
961#101—44no—
962#100—48no—
963#100—48no—
964#100—44no—
965C22⋊C8—24no—
966C22⋊C8—24no—
967C22⋊C8—24no—
968C22⋊C8—24no—
969C22⋊C8—42no—
970C22⋊C8—42no—
971C23×C3—24no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—24no—
975C23×C3—24no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—24no—
979C23×C3—24no—
980C23×C3—24no—
981C23×C3—24no—
982C23×C3—42no—
983C23×C3—42no—
984C23×C3—42no—
985C23×C3—42no—
986C23×C3—48no—
987C23×C3—48no—
988C23×C3—416no—
989C23×C3—416no—
990C23×C3—42no—
991C23×C3—42no—
992C23×C3—42no—
993C23×C3—42no—
994C23×C3—44no—
995C23×C3—44no—
996C23×C3—44no—
997C23×C3—44no—
998C23×C3—41no—
999C23×C3—42no—
1000C23×C3—84no—
1001C23×C3—84no—
1002C23×C3—84no—
1003C23×C3—84no—
1004C23×C3—88no—
1005C23×C3—816no—
1006C23×C3—816no—
1007C23×C3—84no—
1008C23×C3—84no—
1009C23×C3—88no—
1010C23×C3—88no—
1011C23×C3—82no—
1012C23×C3—88no—
1013C23×C3—88no—
1014C23×C3—88no—
1015C23×C3—88no—
1016C23×C3—864no—
1017C23×C3—864no—
1018C23×C3—816no—
1019C23×C3—816no—
1020C23×C3—88no—
1021C23×C3#39412yes—
1022C23×C3#39412yes—
1023C23×C3C2×#12111yescharacteristic
1024C23×C3C2×#12311yescharacteristic
1025C23×C3C2×#12411yescharacteristic
1026C23×C3#54612yes—
1027C23×C3#55112yes—
1028C3×Q8—41no—
1029C3×Q8—41no—
1030C3×Q8—42no—
1031C3×D4—24no—
1032C3×D4—24no—
1033C3×D4—24no—
1034C3×D4—24no—
1035C3×D4—416no—
1036C3×D4—416no—
1037C3×D4—42no—
1038C3×D4—42no—
1039C3×D4—42no—
1040C3×D4—41no—
1041C3×D4—42no—
1042C3×D4—41no—
1043C3×D4—44no—
1044C3×D4—44no—
1045C3×D4—44no—
1046C3×D4—44no—
1047C3×D4—42no—
1048C3×D4—84no—
1049C3×D4—84no—
1050C3×D4—81no—
1051C3×D4—81no—
1052C3×D4—82no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—24no—
1058C2×C3×C4—24no—
1059C2×C3×C4—22no—
1060C2×C3×C4—22no—
1061C2×C3×C4—22no—
1062C2×C3×C4—22no—
1063C2×C3×C4—22no—
1064C2×C3×C4—22no—
1065C2×C3×C4—22no—
1066C2×C3×C4—22no—
1067C2×C3×C4—24no—
1068C2×C3×C4—24no—
1069C2×C3×C4—24no—
1070C2×C3×C4—24no—
1071C2×C3×C4—42no—
1072C2×C3×C4—41no—
1073C2×C3×C4—44no—
1074C2×C3×C4—42no—
1075C2×C3×C4—88no—
1076C2×C3×C4—84no—
1077C2×C3×C4—81no—
1078C2×C3×C4—81no—
1079C2×C3×C4—82no—
1080C2×C3×C4—82no—
1081C2×C3×C4#39412yes—
1082C2×C3×C4#39412yes—
1083C2×C3×C4C2×#12011yescharacteristic
1084C2×C3×C4C2×#12011yescharacteristic
1085C2×C3×C4C2×#12111yescharacteristic
1086C2×C3×C4C2×#12111yescharacteristic
1087C2×C3×C4C2×#12311yescharacteristic
1088C2×C3×C4C2×#12311yescharacteristic
1089C2×C3×C4#52512yes—
1090C2×C3×C4#52512yes—
1091C2×C3×C4#53411yescharacteristic
1092C2×C3×C4#53411yescharacteristic
1093C2×C3×C4#53812yes—
1094C2×C3×C4#53812yes—
1095C2×C3×C4D4212yes—
1096C2×C3×C4D4212yes—
1097C2×C3×C4D4212yes—
1098C2×C3×C4#54612yes—
1099C2×C3×C4#54612yes—
1100C2×C3×C4#54612yes—
1101C3×C8—44no—
1102C3×C8—42no—
1103C3×C8—42no—
1104C3×C8—44no—
1105C3×C8—82no—
1106C24—22no—
1107C24—22no—
1108C24—22no—
1109C24—22no—
1110C24—24no—
1111C24—24no—
1112C24—21no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—416no—
1119C24—416no—
1120C24—44no—
1121C24—44no—
1122C24—41no—
1123C24—41no—
1124C24—41no—
1125C24—41no—
1126C24—42no—
1127C24—42no—
1128C24—88no—
1129C24—88no—
1130C24—88no—
1131C24—88no—
1132C24—84no—
1133C24—84no—
1134C24—88no—
1135C24—88no—
1136C24—832no—
1137C24—832no—
1138C24C3×#12111yescharacteristic
1139C24C3×#12111yescharacteristic
1140C24C3×#12312yes—
1141C24C3×#12412yes—
1142C24C2×C3×#4111yescharacteristic
1143#41—41no—
1144#41—41no—
1145#41—42no—
1146#41—41no—
1147#41—41no—
1148#41—42no—
1149#41—42no—
1150#41—42no—
1151#41—42no—
1152#41—42no—
1153C2×Q8—21no—
1154C2×Q8—21no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×D4—216no—
1158C2×D4—216no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—48no—
1184C2×D4—48no—
1185C2×D4—48no—
1186C2×D4—48no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—416no—
1192C2×D4—416no—
1193C2×D4—48no—
1194C2×D4—48no—
1195C2×D4—416no—
1196C2×D4—416no—
1197C2×D4—416no—
1198C2×D4—416no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—84no—
1222C2×D4C3×#12014yes—
1223C2×D4C3×#12314yes—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—21no—
1247C22×C4—22no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—84no—
1255C22×C4C3×#12012yes—
1256C22×C4C3×#12012yes—
1257C22×C4C3×#12111yescharacteristic
1258C22×C4C3×#12111yescharacteristic
1259C22×C4C3×#12112yes—
1260C22×C4C3×#12112yes—
1261C22×C4C3×#12112yes—
1262C22×C4C3×#12112yes—
1263C22×C4C3×#12312yes—
1264C22×C4C3×#12312yes—
1265C22×C4C3×#12312yes—
1266C22×C4C3×#12412yes—
1267C22×C4C22×C3×D411yescharacteristic
1268C22×C4C22×C3×D411yescharacteristic
1269C22×C4C22×C3×D411yescharacteristic
1270C22×C4C22×C3×D412yes—
1271C22×C4C22×C3×D411yescharacteristic
1272C22×C4C2×C3×#4111yescharacteristic
1273C22×C4C2×C3×#4111yescharacteristic
1274C22×C4C2×C3×#4112yes—
1275C22×C4C3×H(5,𝔽2)12yes—
1276C22×C4C3×H(5,𝔽2)12yes—
1277SD16—48no—
1278SD16—48no—
1279D8—48no—
1280D8—48no—
1281M16—24no—
1282M16—24no—
1283M16—24no—
1284M16—24no—
1285M16—24no—
1286M16—24no—
1287M16—48no—
1288M16—41no—
1289M16—41no—
1290M16—42no—
1291M16—41no—
1292M16—41no—
1293M16—42no—
1294M16—42no—
1295M16—42no—
1296M16—42no—
1297M16—42no—
1298M16—42no—
1299M16—42no—
1300C2×C8—22no—
1301C2×C8—22no—
1302C2×C8—24no—
1303C2×C8—24no—
1304C2×C8—48no—
1305C2×C8—42no—
1306C2×C8—42no—
1307C2×C8—42no—
1308C2×C8—42no—
1309C2×C8—42no—
1310C2×C8—42no—
1311C2×C8—42no—
1312C2×C8—42no—
1313C2×C8—42no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C22⋊C4—24no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C42—24no—
1331C42—44no—
1332C42—41no—
1333C42—41no—
1334C42—42no—
1335C22×C3—24no—
1336C22×C3—24no—
1337C22×C3—22no—
1338C22×C3—22no—
1339C22×C3—22no—
1340C22×C3—22no—
1341C22×C3—22no—
1342C22×C3—22no—
1343C22×C3—22no—
1344C22×C3—22no—
1345C22×C3—42no—
1346C22×C3—42no—
1347C22×C3—48no—
1348C22×C3—48no—
1349C22×C3—42no—
1350C22×C3—42no—
1351C22×C3—44no—
1352C22×C3—44no—
1353C22×C3—84no—
1354C22×C3—84no—
1355C22×C3—88no—
1356C22×C3—88no—
1357C22×C3—84no—
1358C22×C3—832no—
1359C22×C3—84no—
1360C22×C3—88no—
1361C22×C3—88no—
1362C22×C3—832no—
1363C22×C3—84no—
1364C22×C3—84no—
1365C22×C3—81no—
1366C22×C3—82no—
1367C22×C3—162no—
1368C22×C3#204814yescomplemented
1369C22×C3C2×#39411yescharacteristic
1370C22×C3#241011yescharacteristic
1371C22×C3#241211yescharacteristic
1372C22×C3#241812yes—
1373C22×C3#247212yes—
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—84no—
1377C3×C4—81no—
1378C3×C4—82no—
1379C3×C4#240311yescharacteristic
1380C3×C4#240511yescharacteristic
1381C3×C4#242412yes—
1382C3×C4#242412yes—
1383C3×C4#262211yescharacteristic
1384C3×C4#284911yescharacteristic
1385C23—21no—
1386C23—21no—
1387C23—24no—
1388C23—21no—
1389C23—21no—
1390C23—24no—
1391C23—24no—
1392C23—24no—
1393C23—24no—
1394C23—24no—
1395C23—24no—
1396C23—42no—
1397C23—42no—
1398C23—42no—
1399C23—42no—
1400C23—48no—
1401C23—48no—
1402C23—416no—
1403C23—416no—
1404C23—42no—
1405C23—42no—
1406C23—42no—
1407C23—42no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—41no—
1413C23—42no—
1414C23—84no—
1415C23—84no—
1416C23—816no—
1417C23—816no—
1418C23—84no—
1419C23—84no—
1420C23—88no—
1421C23—88no—
1422C23—84no—
1423C23—84no—
1424C23—88no—
1425C23—82no—
1426C23—88no—
1427C23—88no—
1428C23—88no—
1429C23—88no—
1430C23—864no—
1431C23—864no—
1432C23—816no—
1433C23—816no—
1434C23—88no—
1435C23C3×#39412yes—
1436C23C3×#39412yes—
1437C23C2×C3×#12111yescharacteristic
1438C23C2×C3×#12311yescharacteristic
1439C23C2×C3×#12411yescharacteristic
1440C23C3×#54612yes—
1441C23C3×#55112yes—
1442Q8—41no—
1443Q8—41no—
1444Q8—42no—
1445D4—24no—
1446D4—24no—
1447D4—24no—
1448D4—24no—
1449D4—416no—
1450D4—416no—
1451D4—42no—
1452D4—42no—
1453D4—42no—
1454D4—41no—
1455D4—42no—
1456D4—41no—
1457D4—44no—
1458D4—44no—
1459D4—44no—
1460D4—44no—
1461D4—42no—
1462D4—84no—
1463D4—81no—
1464D4—81no—
1465D4—84no—
1466D4—82no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—42no—
1486C2×C4—41no—
1487C2×C4—44no—
1488C2×C4—42no—
1489C2×C4—88no—
1490C2×C4—84no—
1491C2×C4—81no—
1492C2×C4—82no—
1493C2×C4—81no—
1494C2×C4—82no—
1495C2×C4C3×#39412yes—
1496C2×C4C3×#39412yes—
1497C2×C4C2×C3×#12011yescharacteristic
1498C2×C4C2×C3×#12011yescharacteristic
1499C2×C4C2×C3×#12111yescharacteristic
1500C2×C4C2×C3×#12111yescharacteristic
1501C2×C4C2×C3×#12311yescharacteristic
1502C2×C4C2×C3×#12311yescharacteristic
1503C2×C4C3×#52512yes—
1504C2×C4C3×#52512yes—
1505C2×C4C3×#53411yescharacteristic
1506C2×C4C3×#53411yescharacteristic
1507C2×C4C3×#53812yes—
1508C2×C4C3×#53812yes—
1509C2×C4C3×D4212yes—
1510C2×C4C3×D4212yes—
1511C2×C4C3×D4212yes—
1512C2×C4C3×#54612yes—
1513C2×C4C3×#54612yes—
1514C2×C4C3×#54612yes—
1515C8—44no—
1516C8—42no—
1517C8—42no—
1518C8—44no—
1519C8—82no—
1520C2×C3—21no—
1521C2×C3—24no—
1522C2×C3—21no—
1523C2×C3—22no—
1524C2×C3—22no—
1525C2×C3—42no—
1526C2×C3—84no—
1527C2×C3—84no—
1528C2×C3—161no—
1529C2×C3#1471811yescharacteristic
1530C2×C3C2×#204812yes—
1531C22—24no—
1532C22—24no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—42no—
1542C22—42no—
1543C22—48no—
1544C22—48no—
1545C22—42no—
1546C22—42no—
1547C22—44no—
1548C22—44no—
1549C22—84no—
1550C22—84no—
1551C22—84no—
1552C22—84no—
1553C22—832no—
1554C22—88no—
1555C22—88no—
1556C22—88no—
1557C22—88no—
1558C22—832no—
1559C22—84no—
1560C22—84no—
1561C22—81no—
1562C22—82no—
1563C22—162no—
1564C22C3×#204814yescomplemented
1565C22C2×C3×#39411yescharacteristic
1566C22C3×#241011yescharacteristic
1567C22C3×#241211yescharacteristic
1568C22C3×#241812yes—
1569C22C3×#247212yes—
1570C4—22no—
1571C4—22no—
1572C4—84no—
1573C4—81no—
1574C4—82no—
1575C4C3×#240311yescharacteristic
1576C4C3×#240511yescharacteristic
1577C4C3×#242412yes—
1578C4C3×#242412yes—
1579C4C3×#262211yescharacteristic
1580C4C3×#284911yescharacteristic
1581C3#39460211yescharacteristic, direct product factor, Sylow
1582C2—21no—
1583C2—21no—
1584C2—24no—
1585C2—22no—
1586C2—22no—
1587C2—42no—
1588C2—84no—
1589C2—84no—
1590C2—161no—
1591C2C3×#1471811yescharacteristic
1592C2C2×C3×#204812yes—
subgroupG/H
center, socleC22×C3C2×#394
commutator, Frattini, cosocleC23×C4C24×C3
prime radicalC2×C3×#3003C2
LCSG ▷ C23×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C24×C3×C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C3×#418C2semidirect
3. C2×C3×#2048C2semidirect
4. C3×#20989C2semidirect
5. C3×#20979C2semidirect
6. C3×#20851C2semidirect
7. C2×C3×#1783C2semidirect
8. C3×#11187C2semidirect
9. C3×#11142C2semidirect
10. C3×#11034C2semidirect
11. C3×#10738C2semidirect
12. #394602C3direct (N × H)
24. C2×C3×#430C22semidirect
25. C2×C3×#421C22semidirect
33. C2×C3×#413C22semidirect
47. C2×C3×#344C22semidirect
48. C2×C3×#344C22semidirect
49. C3×#1742C22semidirect
50. C3×#1738C22semidirect
51. C3×#1733C22semidirect
53. C22×#418C2×C3semidirect
54. C2×#2048C2×C3semidirect
55. #20989C2×C3semidirect
56. #20979C2×C3semidirect
57. #20851C2×C3semidirect
58. C2×#1783C2×C3semidirect
59. #11187C2×C3semidirect
60. #11142C2×C3semidirect
61. #11034C2×C3semidirect
62. #10738C2×C3semidirect
143. C3×#418D4semidirect
187. C2×#430C22×C3semidirect
188. C2×#421C22×C3semidirect
196. C2×#413C22×C3semidirect
210. C2×#344C22×C3semidirect
211. C2×#344C22×C3semidirect
212. #1742C22×C3semidirect
213. #1738C22×C3semidirect
214. #1733C22×C3semidirect
502. #418C3×D4semidirect
1368. C22×C3#2048semidirect
1564. C22C3×#2048semidirect
1581. C3#394602direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#30032
C22×C3×#4182
C2×C3×#20482
C3×#209892
C3×#209792
C3×#208512
C2×C3×#17832
C3×#111872
C3×#111422
C3×#110342
C3×#107382
#3946023