Finite Group Databasebeta

← C3×#418876 #72253359

Subgroups — C3×#418876 #72253359

Order 1536.

4956 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3003C211yesmaximal, characteristic
2C2×C3×#2048C211yesmaximal, characteristic, complemented
3C3×#23521C211yesmaximal, characteristic, complemented
4C3×#21005C211yesmaximal, characteristic, complemented
5C2×C3×#1903C211yesmaximal, characteristic, complemented
6C2×C3×#1891C211yesmaximal, characteristic, complemented
7C3×#20598C211yesmaximal, characteristic, complemented
8C2×C3×#1783C211yesmaximal, characteristic, complemented
9C3×#11181C211yesmaximal, characteristic, complemented
10C3×#11157C211yesmaximal, characteristic, complemented
11C3×#11142C211yesmaximal, characteristic, complemented
12C3×#11101C211yesmaximal, characteristic, complemented
13C3×#11071C211yesmaximal, characteristic, complemented
14C3×#11058C211yesmaximal, characteristic, complemented
15C3×#10994C211yesmaximal, characteristic, complemented
16#418876C311yesmaximal, characteristic, direct product factor, Sylow
17C24×C3×D4C2211yescharacteristic
18C22×C3×AGL(1,ℤ/8)C2211yescharacteristic
19C22×C3×AGL(1,ℤ/8)C2211yescharacteristic
20C2×C3×#568C2211yescharacteristic, complemented
21C2×C3×#525C2211yescharacteristic
22C3×#3003—24no—
23C3×#3003—24no—
24C2×C3×#450—22no—
25C2×C3×#447—22no—
26C2×C3×#430C2211yescharacteristic, complemented
27C3×#2905C2211yescharacteristic, complemented
28C2×C3×#421C2211yescharacteristic, complemented
29C3×#2896C2211yescharacteristic, complemented
30C2×C3×#418C2211yescharacteristic
31C2×C3×#418C2211yescharacteristic
32C2×C3×#418C2211yescharacteristic
33C2×C3×#418C2211yescharacteristic
34C2×C3×#418C2211yescharacteristic
35C2×C3×#418C2211yescharacteristic
36C2×C3×#413C2211yescharacteristic, complemented
37C22×C3×#100C2211yescharacteristic
38C22×C3×#100C2211yescharacteristic
39C22×C3×#100C2211yescharacteristic
40C22×C3×#100C2211yescharacteristic
41C2×C3×#407C2211yescharacteristic
42C2×C3×#407C2211yescharacteristic
43C2×C3×#407C2211yescharacteristic
44C2×C3×#407C2211yescharacteristic
45C3×#2280C2211yescharacteristic
46C3×#2048—24no—
47C3×#2046—22no—
48C3×#2045—22no—
49C3×#1907—24no—
50C3×#1903—24no—
51C3×#1891—24no—
52C3×#1786—24no—
53C3×#1783—24no—
54C2×C3×#344C2211yescharacteristic, complemented
55C2×C3×#344C2211yescharacteristic, complemented
56C2×C3×#344C2211yescharacteristic, complemented
57C2×C3×#344C2211yescharacteristic, complemented
58C3×#1742C2211yescharacteristic, complemented
59C3×#1738C2211yescharacteristic, complemented
60C3×#1738C2211yescharacteristic, complemented
61C3×#1733C2211yescharacteristic, complemented
62C2×C3×#338C2211yescharacteristic, complemented
63C2×C3×H(3,ℤ/4)C2211yescharacteristic, complemented
64C2×#3003C2×C311yescharacteristic
65C2×#2048C2×C311yescharacteristic, complemented
66#23521C2×C311yescharacteristic, complemented
67#21005C2×C311yescharacteristic, complemented
68C2×#1903C2×C311yescharacteristic, complemented
69C2×#1891C2×C311yescharacteristic, complemented
70#20598C2×C311yescharacteristic, complemented
71C2×#1783C2×C311yescharacteristic, complemented
72#11181C2×C311yescharacteristic, complemented
73#11157C2×C311yescharacteristic, complemented
74#11142C2×C311yescharacteristic, complemented
75#11101C2×C311yescharacteristic, complemented
76#11071C2×C311yescharacteristic, complemented
77#11058C2×C311yescharacteristic, complemented
78#10994C2×C311yescharacteristic, complemented
79C26×C3—21no—
80C22×C3×#41C2311yescharacteristic
81C23×C3×D4—22no—
82C23×C3×D4—22no—
83C23×C3×D4—21no—
84C23×C3×D4—22no—
85C23×C3×D4—22no—
86C23×C3×D4—22no—
87C23×C3×D4—22no—
88C23×C3×D4—22no—
89C23×C3×D4—22no—
90C23×C3×D4—41no—
91C23×C3×D4—41no—
92C23×C3×D4—41no—
93C23×C3×D4—41no—
94C23×C3×D4—41no—
95C23×C3×D4—41no—
96C23×C3×D4C2311yescharacteristic
97C23×C3×D4C2311yescharacteristic
98C24×C3×C4C2311yescharacteristic
99C2×C3×AGL(1,ℤ/8)—22no—
100C2×C3×AGL(1,ℤ/8)—22no—
101C2×C3×AGL(1,ℤ/8)—22no—
102C2×C3×AGL(1,ℤ/8)—22no—
103C2×C3×AGL(1,ℤ/8)—22no—
104C2×C3×AGL(1,ℤ/8)—22no—
105C2×C3×AGL(1,ℤ/8)—22no—
106C2×C3×AGL(1,ℤ/8)—41no—
107C2×C3×AGL(1,ℤ/8)—41no—
108C2×C3×AGL(1,ℤ/8)—41no—
109C2×C3×AGL(1,ℤ/8)—41no—
110C2×C3×AGL(1,ℤ/8)D414yes—
111C22×C3×SD16—21no—
112C22×C3×SD16D412yes—
113C22×C3×D8—21no—
114C22×C3×D8D412yes—
115C3×#568—22no—
116C3×#568—22no—
117C3×#568—41no—
118C3×#568—41no—
119C2×C3×#131—22no—
120C2×C3×#131—41no—
121C22×C3×M16—41no—
122C22×C3×M16C2311yescharacteristic
123C22×C3×M16C2311yescharacteristic
124C22×C3×M16C2311yescharacteristic
125C22×C3×M16C2311yescharacteristic
126C22×C3×M16C2311yescharacteristic
127C22×C3×M16C2311yescharacteristic
128C22×C3×M16C2311yescharacteristic
129C22×C3×M16C2311yescharacteristic
130C3×#525—22no—
131C3×#525—22no—
132C3×#525—41no—
133C3×#525D414yes—
134C2×C3×#123—21no—
135C2×C3×C22⋊Q8—21no—
136C2×C3×#121—21no—
137C2×C3×#120—21no—
138C2×C3×C4×D4—41no—
139C2×C3×#117C2311yescharacteristic
140C2×C3×#117C2311yescharacteristic
141C2×C3×#117C2311yescharacteristic
142C3×#450—216no—
143C3×#447—216no—
144C3×#430—22no—
145C3×#430—41no—
146C2×C3×#108—41no—
147C3×#424—22no—
148C3×#424—41no—
149C3×#423—41no—
150C3×#421—22no—
151C3×#421—22no—
152C2×C3×#104—41no—
153C3×#419—21no—
154C3×#418—22no—
155C3×#418—22no—
156C3×#418—22no—
157C3×#418—22no—
158C3×#418—22no—
159C3×#418—22no—
160C3×#418—22no—
161C3×#418—21no—
162C3×#418—22no—
163C3×#418—41no—
164C3×#418—41no—
165C3×#418—41no—
166C3×#418—41no—
167C3×#417—22no—
168C3×#416—41no—
169C2×C3×#102—22no—
170C2×C3×#102—22no—
171C2×C3×#102—22no—
172C2×C3×#102—22no—
173C2×C3×#102—22no—
174C2×C3×#102D414yescomplemented
175C3×#413—22no—
176C3×#413—22no—
177C2×C3×#101—21no—
178C2×C3×#100—22no—
179C2×C3×#100—22no—
180C2×C3×#100—22no—
181C2×C3×#100—22no—
182C2×C3×#100—21no—
183C2×C3×#100—22no—
184C2×C3×#100—22no—
185C2×C3×#100—22no—
186C2×C3×#100—41no—
187C2×C3×#100—41no—
188C2×C3×#100—41no—
189C2×C3×#100—41no—
190C2×C3×#100D414yescomplemented
191C3×#407—22no—
192C3×#407—22no—
193C3×#407—22no—
194C3×#407—22no—
195C3×#407—22no—
196C3×#407—22no—
197C3×#407—22no—
198C3×#407—41no—
199C2×C3×C22⋊C8—22no—
200C2×C3×C22⋊C8—22no—
201C2×C3×C22⋊C8—41no—
202C2×C3×C22⋊C8—41no—
203C3×#381—21no—
204C3×#380—22no—
205C3×#379—21no—
206C3×C4×C22⋊C4—41no—
207C3×#344—22no—
208C3×#344—22no—
209C3×#344—22no—
210C3×#344—22no—
211C3×#343—22no—
212C3×#341—22no—
213C3×#341—22no—
214C3×#339—41no—
215C3×#338—22no—
216C3×H(3,ℤ/4)—41no—
217C24×D4C22×C311yescharacteristic
218C22×AGL(1,ℤ/8)C22×C311yescharacteristic
219C22×AGL(1,ℤ/8)C22×C311yescharacteristic
220C2×#568C22×C311yescharacteristic, complemented
221C2×#525C22×C311yescharacteristic
222#3003—24no—
223#3003—24no—
224C2×#450—22no—
225C2×#447—22no—
226C2×#430C22×C311yescharacteristic, complemented
227#2905C22×C311yescharacteristic, complemented
228C2×#421C22×C311yescharacteristic, complemented
229#2896C22×C311yescharacteristic, complemented
230C2×#418C22×C311yescharacteristic
231C2×#418C22×C311yescharacteristic
232C2×#418C22×C311yescharacteristic
233C2×#418C22×C311yescharacteristic
234C2×#418C22×C311yescharacteristic
235C2×#418C22×C311yescharacteristic
236C2×#413C22×C311yescharacteristic, complemented
237C22×#100C22×C311yescharacteristic
238C22×#100C22×C311yescharacteristic
239C22×#100C22×C311yescharacteristic
240C22×#100C22×C311yescharacteristic
241C2×#407C22×C311yescharacteristic
242C2×#407C22×C311yescharacteristic
243C2×#407C22×C311yescharacteristic
244C2×#407C22×C311yescharacteristic
245#2280C22×C311yescharacteristic
246#2048—24no—
247#2046—22no—
248#2045—22no—
249#1907—24no—
250#1903—24no—
251#1891—24no—
252#1786—24no—
253#1783—24no—
254C2×#344C22×C311yescharacteristic, complemented
255C2×#344C22×C311yescharacteristic, complemented
256C2×#344C22×C311yescharacteristic, complemented
257C2×#344C22×C311yescharacteristic, complemented
258#1742C22×C311yescharacteristic, complemented
259#1738C22×C311yescharacteristic, complemented
260#1738C22×C311yescharacteristic, complemented
261#1733C22×C311yescharacteristic, complemented
262C2×#338C22×C311yescharacteristic, complemented
263C2×H(3,ℤ/4)C22×C311yescharacteristic, complemented
264C25×C3—21no—
265C25×C3—21no—
266C25×C3—24no—
267C25×C3—42no—
268C25×C3—42no—
269C25×C3—42no—
270C25×C3—42no—
271C25×C3—42no—
272C25×C3—42no—
273C25×C3—88no—
274C25×C3#4111yescharacteristic
275C2×C3×#41—21no—
276C2×C3×#41—21no—
277C2×C3×#41—21no—
278C2×C3×#41—21no—
279C2×C3×#41—21no—
280C2×C3×#41—21no—
281C2×C3×#41—21no—
282C2×C3×#41—21no—
283C2×C3×#41—21no—
284C2×C3×#41—21no—
285C2×C3×#41C2×D412yes—
286C2×C3×#41C2×D412yes—
287C22×C3×Q8C2×D411yescharacteristic
288C22×C3×D4—21no—
289C22×C3×D4—28no—
290C22×C3×D4—28no—
291C22×C3×D4—24no—
292C22×C3×D4—21no—
293C22×C3×D4—21no—
294C22×C3×D4—21no—
295C22×C3×D4—21no—
296C22×C3×D4—21no—
297C22×C3×D4—21no—
298C22×C3×D4—21no—
299C22×C3×D4—21no—
300C22×C3×D4—21no—
301C22×C3×D4—21no—
302C22×C3×D4—21no—
303C22×C3×D4—21no—
304C22×C3×D4—21no—
305C22×C3×D4—21no—
306C22×C3×D4—21no—
307C22×C3×D4—21no—
308C22×C3×D4—21no—
309C22×C3×D4—21no—
310C22×C3×D4—21no—
311C22×C3×D4—21no—
312C22×C3×D4—21no—
313C22×C3×D4—21no—
314C22×C3×D4—44no—
315C22×C3×D4—44no—
316C22×C3×D4—44no—
317C22×C3×D4—44no—
318C22×C3×D4—44no—
319C22×C3×D4—44no—
320C22×C3×D4—44no—
321C22×C3×D4—44no—
322C22×C3×D4—42no—
323C22×C3×D4—42no—
324C22×C3×D4—42no—
325C22×C3×D4—42no—
326C22×C3×D4—42no—
327C22×C3×D4—44no—
328C22×C3×D4—44no—
329C22×C3×D4—44no—
330C22×C3×D4—44no—
331C22×C3×D4—44no—
332C22×C3×D4—44no—
333C22×C3×D4—44no—
334C22×C3×D4—44no—
335C22×C3×D4—44no—
336C22×C3×D4—44no—
337C22×C3×D4—44no—
338C22×C3×D4—44no—
339C22×C3×D4—44no—
340C22×C3×D4—44no—
341C22×C3×D4—44no—
342C22×C3×D4—44no—
343C22×C3×D4—44no—
344C22×C3×D4—44no—
345C22×C3×D4—41no—
346C22×C3×D4—42no—
347C22×C3×D4C2×D411yescharacteristic
348C22×C3×D4C2×D412yes—
349C22×C3×D4C2×D412yes—
350C22×C3×D4C2×D412yes—
351C22×C3×D4C2×D412yes—
352C22×C3×D4#4112yes—
353C22×C3×D4#4112yes—
354C23×C3×C4—21no—
355C23×C3×C4—21no—
356C23×C3×C4—21no—
357C23×C3×C4—21no—
358C23×C3×C4—21no—
359C23×C3×C4—21no—
360C23×C3×C4—21no—
361C23×C3×C4—21no—
362C23×C3×C4—21no—
363C23×C3×C4—21no—
364C23×C3×C4—21no—
365C23×C3×C4—21no—
366C23×C3×C4—21no—
367C23×C3×C4C2×D412yes—
368C23×C3×C4#4111yescharacteristic
369C23×C3×C4#4112yes—
370C23×C3×C4C2411yescharacteristic
371C3×AGL(1,ℤ/8)—28no—
372C3×AGL(1,ℤ/8)—44no—
373C3×AGL(1,ℤ/8)—44no—
374C3×AGL(1,ℤ/8)—44no—
375C3×AGL(1,ℤ/8)—44no—
376C3×AGL(1,ℤ/8)—44no—
377C3×AGL(1,ℤ/8)—44no—
378C3×AGL(1,ℤ/8)—44no—
379C2×C3×SD16—24no—
380C2×C3×SD16—24no—
381C2×C3×SD16—24no—
382C2×C3×SD16—42no—
383C2×C3×SD16—42no—
384C2×C3×SD16—42no—
385C2×C3×D8—24no—
386C2×C3×D8—24no—
387C2×C3×D8—24no—
388C2×C3×D8—42no—
389C2×C3×D8—42no—
390C2×C3×D8—42no—
391C3×#131—44no—
392C3×#131—44no—
393C3×#131—44no—
394C3×#131—44no—
395C2×C3×M16—21no—
396C2×C3×M16—21no—
397C2×C3×M16—21no—
398C2×C3×M16—21no—
399C2×C3×M16—21no—
400C2×C3×M16—21no—
401C2×C3×M16—21no—
402C2×C3×M16—21no—
403C2×C3×M16—21no—
404C2×C3×M16—21no—
405C2×C3×M16—21no—
406C2×C3×M16—21no—
407C2×C3×M16—21no—
408C2×C3×M16—21no—
409C2×C3×M16—21no—
410C2×C3×M16—21no—
411C2×C3×M16—21no—
412C2×C3×M16—21no—
413C2×C3×M16—21no—
414C2×C3×M16—21no—
415C2×C3×M16—21no—
416C2×C3×M16—21no—
417C2×C3×M16—21no—
418C2×C3×M16—21no—
419C2×C3×M16—21no—
420C2×C3×M16—21no—
421C2×C3×M16—21no—
422C2×C3×M16—21no—
423C2×C3×M16—21no—
424C2×C3×M16—21no—
425C2×C3×M16—21no—
426C2×C3×M16—21no—
427C2×C3×M16—21no—
428C2×C3×M16—21no—
429C2×C3×M16—21no—
430C2×C3×M16—21no—
431C2×C3×M16—21no—
432C2×C3×M16—21no—
433C2×C3×M16—21no—
434C2×C3×M16—21no—
435C2×C3×M16—21no—
436C2×C3×M16—21no—
437C2×C3×M16—21no—
438C2×C3×M16—21no—
439C2×C3×M16—21no—
440C2×C3×M16—42no—
441C2×C3×M16—44no—
442C2×C3×M16—44no—
443C2×C3×M16C2×D412yes—
444C2×C3×M16C2×D412yes—
445C2×C3×M16C2×D412yes—
446C22×C3×C8—21no—
447C22×C3×C8—21no—
448C22×C3×C8—21no—
449C22×C3×C8—21no—
450C22×C3×C8—21no—
451C22×C3×C8—21no—
452C22×C3×C8—42no—
453C22×C3×C8C2×D412yes—
454C22×C3×C8C2×D412yes—
455C3×#123—24no—
456C3×#123—42no—
457C3×C22⋊Q8—24no—
458C3×C22⋊Q8—42no—
459C3×#121—24no—
460C3×#121—42no—
461C3×#120—24no—
462C3×#120—42no—
463C3×C4×D4—44no—
464C3×C4×D4—44no—
465C3×#117—21no—
466C3×#117—21no—
467C3×#117—21no—
468C3×#117—21no—
469C3×#117—21no—
470C3×#117—21no—
471C3×#117—21no—
472C3×#117—21no—
473C3×#117—21no—
474C3×#117—21no—
475C3×#117—21no—
476C3×#117C2×D412yes—
477C2×C3×C4⋊C4—21no—
478C2×C3×C4⋊C4—21no—
479C2×C3×C4⋊C4—41no—
480C2×C3×C4⋊C4C2×D412yes—
481C2×C3×C22⋊C4—21no—
482C2×C3×C22⋊C4—21no—
483C2×C3×C22⋊C4—21no—
484C2×C3×C22⋊C4—41no—
485C2×C3×C22⋊C4—41no—
486C2×C3×C22⋊C4—42no—
487C2×C3×C42—21no—
488C2×C3×C42—21no—
489C2×C3×C42—21no—
490C3×#108—44no—
491C3×C4⋊C8—44no—
492C3×#104—44no—
493C3×#103—42no—
494C3×#102—28no—
495C3×#102—28no—
496C3×#102—44no—
497C3×#102—44no—
498C3×#102—42no—
499C3×#102—44no—
500C3×#102—44no—
501C3×#101—42no—
502C3×#100—44no—
503C3×#100—44no—
504C3×#100—44no—
505C3×#100—42no—
506C3×#100—44no—
507C3×C22⋊C8—28no—
508C3×C22⋊C8—44no—
509C3×C22⋊C8—44no—
510C3×C22⋊C8—44no—
511C3×#95—42no—
512C26—21no—
513C22×#41C23×C311yescharacteristic
514C23×D4—22no—
515C23×D4—22no—
516C23×D4—22no—
517C23×D4—22no—
518C23×D4—22no—
519C23×D4—22no—
520C23×D4—22no—
521C23×D4—22no—
522C23×D4—21no—
523C23×D4—41no—
524C23×D4—41no—
525C23×D4—41no—
526C23×D4—41no—
527C23×D4—41no—
528C23×D4—41no—
529C23×D4C23×C311yescharacteristic
530C23×D4C23×C311yescharacteristic
531C24×C4C23×C311yescharacteristic
532C2×AGL(1,ℤ/8)—22no—
533C2×AGL(1,ℤ/8)—22no—
534C2×AGL(1,ℤ/8)—22no—
535C2×AGL(1,ℤ/8)—22no—
536C2×AGL(1,ℤ/8)—22no—
537C2×AGL(1,ℤ/8)—22no—
538C2×AGL(1,ℤ/8)—22no—
539C2×AGL(1,ℤ/8)—41no—
540C2×AGL(1,ℤ/8)—41no—
541C2×AGL(1,ℤ/8)—41no—
542C2×AGL(1,ℤ/8)—41no—
543C2×AGL(1,ℤ/8)C3×D414yes—
544C22×SD16—21no—
545C22×SD16C3×D412yes—
546C22×D8—21no—
547C22×D8C3×D412yes—
548#568—22no—
549#568—22no—
550#568—41no—
551#568—41no—
552C2×#131—22no—
553C2×#131—41no—
554C22×M16—41no—
555C22×M16C23×C311yescharacteristic
556C22×M16C23×C311yescharacteristic
557C22×M16C23×C311yescharacteristic
558C22×M16C23×C311yescharacteristic
559C22×M16C23×C311yescharacteristic
560C22×M16C23×C311yescharacteristic
561C22×M16C23×C311yescharacteristic
562C22×M16C23×C311yescharacteristic
563#525—22no—
564#525—22no—
565#525—41no—
566#525C3×D414yes—
567C2×#123—21no—
568C2×C22⋊Q8—21no—
569C2×#121—21no—
570C2×#120—21no—
571C2×C4×D4—41no—
572C2×#117C23×C311yescharacteristic
573C2×#117C23×C311yescharacteristic
574C2×#117C23×C311yescharacteristic
575#450—216no—
576#447—216no—
577#430—22no—
578#430—41no—
579C2×#108—41no—
580#424—22no—
581#424—41no—
582#423—41no—
583#421—22no—
584#421—22no—
585C2×#104—41no—
586#419—21no—
587#418—22no—
588#418—22no—
589#418—22no—
590#418—22no—
591#418—22no—
592#418—22no—
593#418—22no—
594#418—21no—
595#418—22no—
596#418—41no—
597#418—41no—
598#418—41no—
599#418—41no—
600#417—22no—
601#416—41no—
602C2×#102—22no—
603C2×#102—22no—
604C2×#102—22no—
605C2×#102—22no—
606C2×#102—22no—
607C2×#102C3×D414yescomplemented
608#413—22no—
609#413—22no—
610C2×#101—21no—
611C2×#100—22no—
612C2×#100—22no—
613C2×#100—22no—
614C2×#100—22no—
615C2×#100—21no—
616C2×#100—22no—
617C2×#100—22no—
618C2×#100—22no—
619C2×#100—41no—
620C2×#100—41no—
621C2×#100—41no—
622C2×#100—41no—
623C2×#100C3×D414yescomplemented
624#407—22no—
625#407—22no—
626#407—22no—
627#407—22no—
628#407—22no—
629#407—22no—
630#407—22no—
631#407—41no—
632C2×C22⋊C8—22no—
633C2×C22⋊C8—22no—
634C2×C22⋊C8—41no—
635C2×C22⋊C8—41no—
636#381—21no—
637#380—22no—
638#379—21no—
639C4×C22⋊C4—41no—
640#344—22no—
641#344—22no—
642#344—22no—
643#344—22no—
644#343—22no—
645#341—22no—
646#341—22no—
647#339—41no—
648#338—22no—
649H(3,ℤ/4)—41no—
650C24×C3—21no—
651C24×C3—21no—
652C24×C3—21no—
653C24×C3—21no—
654C24×C3—21no—
655C24×C3—21no—
656C24×C3—22no—
657C24×C3—22no—
658C24×C3—22no—
659C24×C3—22no—
660C24×C3—22no—
661C24×C3—21no—
662C24×C3—22no—
663C24×C3—44no—
664C24×C3—48no—
665C24×C3—48no—
666C24×C3—48no—
667C24×C3—48no—
668C24×C3—48no—
669C24×C3—48no—
670C24×C3—48no—
671C24×C3—41no—
672C24×C3—41no—
673C24×C3—41no—
674C24×C3—41no—
675C24×C3—41no—
676C24×C3—41no—
677C24×C3—41no—
678C24×C3—41no—
679C24×C3—88no—
680C24×C3—88no—
681C24×C3—88no—
682C24×C3—84no—
683C24×C3—84no—
684C24×C3—816no—
685C24×C3—816no—
686C24×C3—88no—
687C24×C3—88no—
688C24×C3—88no—
689C24×C3—816no—
690C24×C3—816no—
691C24×C3#12312yes—
692C24×C3C2×#4111yescharacteristic
693C3×#41—22no—
694C3×#41—22no—
695C3×#41—22no—
696C3×#41—22no—
697C3×#41—22no—
698C3×#41—22no—
699C3×#41—22no—
700C3×#41—22no—
701C3×#41—41no—
702C3×#41—41no—
703C3×#41—41no—
704C3×#41—41no—
705C3×#41—41no—
706C3×#41—41no—
707C3×#41—41no—
708C3×#41—41no—
709C2×C3×Q8—21no—
710C2×C3×Q8—21no—
711C2×C3×Q8—21no—
712C2×C3×Q8—21no—
713C2×C3×Q8—21no—
714C2×C3×Q8#12012yes—
715C2×C3×D4—22no—
716C2×C3×D4—22no—
717C2×C3×D4—22no—
718C2×C3×D4—22no—
719C2×C3×D4—21no—
720C2×C3×D4—22no—
721C2×C3×D4—22no—
722C2×C3×D4—22no—
723C2×C3×D4—21no—
724C2×C3×D4—22no—
725C2×C3×D4—22no—
726C2×C3×D4—22no—
727C2×C3×D4—22no—
728C2×C3×D4—22no—
729C2×C3×D4—21no—
730C2×C3×D4—22no—
731C2×C3×D4—22no—
732C2×C3×D4—22no—
733C2×C3×D4—22no—
734C2×C3×D4—22no—
735C2×C3×D4—22no—
736C2×C3×D4—22no—
737C2×C3×D4—22no—
738C2×C3×D4—21no—
739C2×C3×D4—22no—
740C2×C3×D4—22no—
741C2×C3×D4—22no—
742C2×C3×D4—22no—
743C2×C3×D4—22no—
744C2×C3×D4—22no—
745C2×C3×D4—22no—
746C2×C3×D4—22no—
747C2×C3×D4—21no—
748C2×C3×D4—22no—
749C2×C3×D4—22no—
750C2×C3×D4—22no—
751C2×C3×D4—22no—
752C2×C3×D4—48no—
753C2×C3×D4—48no—
754C2×C3×D4—48no—
755C2×C3×D4—416no—
756C2×C3×D4—416no—
757C2×C3×D4—416no—
758C2×C3×D4—416no—
759C2×C3×D4—48no—
760C2×C3×D4—48no—
761C2×C3×D4—48no—
762C2×C3×D4—48no—
763C2×C3×D4—416no—
764C2×C3×D4—416no—
765C2×C3×D4—416no—
766C2×C3×D4—416no—
767C2×C3×D4—41no—
768C2×C3×D4—41no—
769C2×C3×D4—41no—
770C2×C3×D4—41no—
771C2×C3×D4—44no—
772C2×C3×D4—41no—
773C2×C3×D4—41no—
774C2×C3×D4—41no—
775C2×C3×D4—41no—
776C2×C3×D4—41no—
777C2×C3×D4—41no—
778C2×C3×D4—41no—
779C2×C3×D4—41no—
780C2×C3×D4—41no—
781C2×C3×D4—41no—
782C2×C3×D4—41no—
783C2×C3×D4—41no—
784C2×C3×D4—41no—
785C2×C3×D4—41no—
786C2×C3×D4—41no—
787C2×C3×D4—41no—
788C2×C3×D4—41no—
789C2×C3×D4—41no—
790C2×C3×D4—41no—
791C2×C3×D4—41no—
792C2×C3×D4—41no—
793C2×C3×D4—41no—
794C2×C3×D4—41no—
795C2×C3×D4—41no—
796C2×C3×D4—84no—
797C2×C3×D4#12012yes—
798C2×C3×D4#12114yes—
799C2×C3×D4#12114yes—
800C22×C3×C4—21no—
801C22×C3×C4—21no—
802C22×C3×C4—21no—
803C22×C3×C4—21no—
804C22×C3×C4—21no—
805C22×C3×C4—21no—
806C22×C3×C4—21no—
807C22×C3×C4—22no—
808C22×C3×C4—22no—
809C22×C3×C4—22no—
810C22×C3×C4—22no—
811C22×C3×C4—22no—
812C22×C3×C4—22no—
813C22×C3×C4—22no—
814C22×C3×C4—22no—
815C22×C3×C4—22no—
816C22×C3×C4—22no—
817C22×C3×C4—22no—
818C22×C3×C4—22no—
819C22×C3×C4—22no—
820C22×C3×C4—22no—
821C22×C3×C4—22no—
822C22×C3×C4—41no—
823C22×C3×C4—41no—
824C22×C3×C4—41no—
825C22×C3×C4—41no—
826C22×C3×C4—41no—
827C22×C3×C4—41no—
828C22×C3×C4—41no—
829C22×C3×C4—41no—
830C22×C3×C4—41no—
831C22×C3×C4—41no—
832C22×C3×C4—41no—
833C22×C3×C4—41no—
834C22×C3×C4—41no—
835C22×C3×C4—41no—
836C22×C3×C4—41no—
837C22×C3×C4—41no—
838C22×C3×C4—41no—
839C22×C3×C4—41no—
840C22×C3×C4—41no—
841C22×C3×C4—41no—
842C22×C3×C4—41no—
843C22×C3×C4—41no—
844C22×C3×C4#12312yes—
845C22×C3×C4C22×D411yescharacteristic
846C22×C3×C4C22×D411yescharacteristic
847C22×C3×C4C22×D411yescharacteristic
848C22×C3×C4C22×D411yescharacteristic
849C22×C3×C4C22×D411yescharacteristic
850C22×C3×C4C2×#4111yescharacteristic
851C22×C3×C4C2×#4111yescharacteristic
852C22×C3×C4C2×#4111yescharacteristic
853C22×C3×C4H(5,𝔽2)11yescharacteristic
854C22×C3×C4H(5,𝔽2)11yescharacteristic
855C22×C3×C4H(5,𝔽2)11yescharacteristic
856C22×C3×C4H(5,𝔽2)11yescharacteristic
857C22×C3×C4H(5,𝔽2)11yescharacteristic
858C22×C3×C4H(5,𝔽2)11yescharacteristic
859C3×SD16—48no—
860C3×SD16—48no—
861C3×D8—48no—
862C3×D8—48no—
863C3×M16—22no—
864C3×M16—22no—
865C3×M16—22no—
866C3×M16—22no—
867C3×M16—22no—
868C3×M16—22no—
869C3×M16—48no—
870C3×M16—41no—
871C3×M16—41no—
872C3×M16—41no—
873C3×M16—41no—
874C3×M16—41no—
875C3×M16—41no—
876C3×M16—41no—
877C3×M16—41no—
878C3×M16—41no—
879C3×M16—41no—
880C3×M16—41no—
881C3×M16—41no—
882C3×M16—41no—
883C3×M16—41no—
884C3×M16—41no—
885C3×M16—41no—
886C3×M16—41no—
887C3×M16—41no—
888C3×M16—41no—
889C3×M16—41no—
890C3×M16—41no—
891C3×M16—41no—
892C3×M16—41no—
893C3×M16—41no—
894C3×M16—41no—
895C3×M16—41no—
896C2×C3×C8—22no—
897C2×C3×C8—22no—
898C2×C3×C8—22no—
899C2×C3×C8—22no—
900C2×C3×C8—22no—
901C2×C3×C8—22no—
902C2×C3×C8—22no—
903C2×C3×C8—22no—
904C2×C3×C8—22no—
905C2×C3×C8—48no—
906C2×C3×C8—41no—
907C2×C3×C8—41no—
908C2×C3×C8—41no—
909C2×C3×C8—41no—
910C2×C3×C8—41no—
911C2×C3×C8—41no—
912C2×C3×C8—41no—
913C2×C3×C8—41no—
914C2×C3×C8—41no—
915C2×C3×C8—41no—
916C2×C3×C8—41no—
917C2×C3×C8—41no—
918C2×C3×C8—41no—
919C2×C3×C8—41no—
920C2×C3×C8—41no—
921C3×C4⋊C4—22no—
922C3×C4⋊C4—22no—
923C3×C4⋊C4—22no—
924C3×C4⋊C4—44no—
925C3×C4⋊C4—41no—
926C3×C4⋊C4—41no—
927C3×C4⋊C4—41no—
928C3×C22⋊C4—22no—
929C3×C22⋊C4—44no—
930C3×C22⋊C4—44no—
931C3×C22⋊C4—41no—
932C3×C22⋊C4—41no—
933C3×C22⋊C4—41no—
934C3×C22⋊C4—41no—
935C3×C22⋊C4—41no—
936C3×C22⋊C4—84no—
937C3×C42—22no—
938C3×C42—41no—
939C3×C42—41no—
940C3×C42—41no—
941C3×C42—41no—
942C3×C42—41no—
943C25—21no—
944C25—21no—
945C25—24no—
946C25—42no—
947C25—42no—
948C25—42no—
949C25—42no—
950C25—42no—
951C25—42no—
952C25—88no—
953C25C3×#4111yescharacteristic
954C2×#41—21no—
955C2×#41—21no—
956C2×#41—21no—
957C2×#41—21no—
958C2×#41—21no—
959C2×#41—21no—
960C2×#41—21no—
961C2×#41—21no—
962C2×#41—21no—
963C2×#41—21no—
964C2×#41C2×C3×D412yes—
965C2×#41C2×C3×D412yes—
966C22×Q8C2×C3×D411yescharacteristic
967C22×D4—21no—
968C22×D4—28no—
969C22×D4—28no—
970C22×D4—24no—
971C22×D4—21no—
972C22×D4—21no—
973C22×D4—21no—
974C22×D4—21no—
975C22×D4—21no—
976C22×D4—21no—
977C22×D4—21no—
978C22×D4—21no—
979C22×D4—21no—
980C22×D4—21no—
981C22×D4—21no—
982C22×D4—21no—
983C22×D4—21no—
984C22×D4—21no—
985C22×D4—21no—
986C22×D4—21no—
987C22×D4—21no—
988C22×D4—21no—
989C22×D4—21no—
990C22×D4—21no—
991C22×D4—21no—
992C22×D4—21no—
993C22×D4—44no—
994C22×D4—44no—
995C22×D4—44no—
996C22×D4—44no—
997C22×D4—44no—
998C22×D4—44no—
999C22×D4—44no—
1000C22×D4—44no—
1001C22×D4—42no—
1002C22×D4—42no—
1003C22×D4—42no—
1004C22×D4—42no—
1005C22×D4—42no—
1006C22×D4—44no—
1007C22×D4—44no—
1008C22×D4—44no—
1009C22×D4—44no—
1010C22×D4—44no—
1011C22×D4—44no—
1012C22×D4—44no—
1013C22×D4—44no—
1014C22×D4—44no—
1015C22×D4—44no—
1016C22×D4—44no—
1017C22×D4—44no—
1018C22×D4—44no—
1019C22×D4—44no—
1020C22×D4—44no—
1021C22×D4—44no—
1022C22×D4—44no—
1023C22×D4—44no—
1024C22×D4—41no—
1025C22×D4—42no—
1026C22×D4C2×C3×D411yescharacteristic
1027C22×D4C2×C3×D412yes—
1028C22×D4C2×C3×D412yes—
1029C22×D4C2×C3×D412yes—
1030C22×D4C2×C3×D412yes—
1031C22×D4C3×#4112yes—
1032C22×D4C3×#4112yes—
1033C23×C4—21no—
1034C23×C4—21no—
1035C23×C4—21no—
1036C23×C4—21no—
1037C23×C4—21no—
1038C23×C4—21no—
1039C23×C4—21no—
1040C23×C4—21no—
1041C23×C4—21no—
1042C23×C4—21no—
1043C23×C4—21no—
1044C23×C4—21no—
1045C23×C4—21no—
1046C23×C4C2×C3×D412yes—
1047C23×C4C3×#4111yescharacteristic
1048C23×C4C3×#4112yes—
1049C23×C4C24×C311yescharacteristic
1050AGL(1,ℤ/8)—28no—
1051AGL(1,ℤ/8)—44no—
1052AGL(1,ℤ/8)—44no—
1053AGL(1,ℤ/8)—44no—
1054AGL(1,ℤ/8)—44no—
1055AGL(1,ℤ/8)—44no—
1056AGL(1,ℤ/8)—44no—
1057AGL(1,ℤ/8)—44no—
1058C2×SD16—24no—
1059C2×SD16—24no—
1060C2×SD16—24no—
1061C2×SD16—42no—
1062C2×SD16—42no—
1063C2×SD16—42no—
1064C2×D8—24no—
1065C2×D8—24no—
1066C2×D8—24no—
1067C2×D8—42no—
1068C2×D8—42no—
1069C2×D8—42no—
1070#131—44no—
1071#131—44no—
1072#131—44no—
1073#131—44no—
1074C2×M16—21no—
1075C2×M16—21no—
1076C2×M16—21no—
1077C2×M16—21no—
1078C2×M16—21no—
1079C2×M16—21no—
1080C2×M16—21no—
1081C2×M16—21no—
1082C2×M16—21no—
1083C2×M16—21no—
1084C2×M16—21no—
1085C2×M16—21no—
1086C2×M16—21no—
1087C2×M16—21no—
1088C2×M16—21no—
1089C2×M16—21no—
1090C2×M16—21no—
1091C2×M16—21no—
1092C2×M16—21no—
1093C2×M16—21no—
1094C2×M16—21no—
1095C2×M16—21no—
1096C2×M16—21no—
1097C2×M16—21no—
1098C2×M16—21no—
1099C2×M16—21no—
1100C2×M16—21no—
1101C2×M16—21no—
1102C2×M16—21no—
1103C2×M16—21no—
1104C2×M16—21no—
1105C2×M16—21no—
1106C2×M16—21no—
1107C2×M16—21no—
1108C2×M16—21no—
1109C2×M16—21no—
1110C2×M16—21no—
1111C2×M16—21no—
1112C2×M16—21no—
1113C2×M16—21no—
1114C2×M16—21no—
1115C2×M16—21no—
1116C2×M16—21no—
1117C2×M16—21no—
1118C2×M16—21no—
1119C2×M16—42no—
1120C2×M16—44no—
1121C2×M16—44no—
1122C2×M16C2×C3×D412yes—
1123C2×M16C2×C3×D412yes—
1124C2×M16C2×C3×D412yes—
1125C22×C8—21no—
1126C22×C8—21no—
1127C22×C8—21no—
1128C22×C8—21no—
1129C22×C8—21no—
1130C22×C8—21no—
1131C22×C8—42no—
1132C22×C8C2×C3×D412yes—
1133C22×C8C2×C3×D412yes—
1134#123—24no—
1135#123—42no—
1136C22⋊Q8—24no—
1137C22⋊Q8—42no—
1138#121—24no—
1139#121—42no—
1140#120—24no—
1141#120—42no—
1142C4×D4—44no—
1143C4×D4—44no—
1144#117—21no—
1145#117—21no—
1146#117—21no—
1147#117—21no—
1148#117—21no—
1149#117—21no—
1150#117—21no—
1151#117—21no—
1152#117—21no—
1153#117—21no—
1154#117—21no—
1155#117C2×C3×D412yes—
1156C2×C4⋊C4—21no—
1157C2×C4⋊C4—21no—
1158C2×C4⋊C4—41no—
1159C2×C4⋊C4C2×C3×D412yes—
1160C2×C22⋊C4—21no—
1161C2×C22⋊C4—21no—
1162C2×C22⋊C4—21no—
1163C2×C22⋊C4—41no—
1164C2×C22⋊C4—41no—
1165C2×C22⋊C4—42no—
1166C2×C42—21no—
1167C2×C42—21no—
1168C2×C42—21no—
1169#108—44no—
1170C4⋊C8—44no—
1171#104—44no—
1172#103—42no—
1173#102—28no—
1174#102—28no—
1175#102—44no—
1176#102—44no—
1177#102—42no—
1178#102—44no—
1179#102—44no—
1180#101—42no—
1181#100—44no—
1182#100—44no—
1183#100—44no—
1184#100—42no—
1185#100—44no—
1186C22⋊C8—28no—
1187C22⋊C8—44no—
1188C22⋊C8—44no—
1189C22⋊C8—44no—
1190#95—42no—
1191C23×C3—24no—
1192C23×C3—24no—
1193C23×C3—24no—
1194C23×C3—22no—
1195C23×C3—22no—
1196C23×C3—22no—
1197C23×C3—22no—
1198C23×C3—24no—
1199C23×C3—24no—
1200C23×C3—44no—
1201C23×C3—42no—
1202C23×C3—42no—
1203C23×C3—42no—
1204C23×C3—42no—
1205C23×C3—44no—
1206C23×C3—44no—
1207C23×C3—44no—
1208C23×C3—41no—
1209C23×C3—41no—
1210C23×C3—41no—
1211C23×C3—41no—
1212C23×C3—432no—
1213C23×C3—42no—
1214C23×C3—42no—
1215C23×C3—41no—
1216C23×C3—42no—
1217C23×C3—42no—
1218C23×C3—42no—
1219C23×C3—42no—
1220C23×C3—42no—
1221C23×C3—42no—
1222C23×C3—42no—
1223C23×C3—42no—
1224C23×C3—42no—
1225C23×C3—42no—
1226C23×C3—41no—
1227C23×C3—84no—
1228C23×C3—84no—
1229C23×C3—84no—
1230C23×C3—84no—
1231C23×C3—816no—
1232C23×C3—84no—
1233C23×C3—84no—
1234C23×C3—816no—
1235C23×C3—816no—
1236C23×C3—82no—
1237C23×C3—84no—
1238C23×C3—84no—
1239C23×C3—84no—
1240C23×C3—84no—
1241C23×C3—84no—
1242C23×C3—84no—
1243C23×C3—84no—
1244C23×C3—84no—
1245C23×C3—832no—
1246C23×C3—832no—
1247C23×C3—816no—
1248C23×C3—832no—
1249C23×C3—816no—
1250C23×C3—816no—
1251C23×C3—832no—
1252C23×C3C2×#12311yescharacteristic
1253C23×C3#52511yescharacteristic
1254C23×C3#53811yescharacteristic
1255C23×C3#54611yescharacteristic
1256C23×C3#54611yescharacteristic
1257C23×C3#54611yescharacteristic
1258C23×C3#55111yescharacteristic
1259C3×Q8—22no—
1260C3×Q8—22no—
1261C3×Q8—41no—
1262C3×Q8—41no—
1263C3×D4—22no—
1264C3×D4—22no—
1265C3×D4—24no—
1266C3×D4—24no—
1267C3×D4—24no—
1268C3×D4—24no—
1269C3×D4—432no—
1270C3×D4—42no—
1271C3×D4—42no—
1272C3×D4—42no—
1273C3×D4—42no—
1274C3×D4—42no—
1275C3×D4—42no—
1276C3×D4—42no—
1277C3×D4—42no—
1278C3×D4—42no—
1279C3×D4—42no—
1280C3×D4—42no—
1281C3×D4—41no—
1282C3×D4—42no—
1283C3×D4—42no—
1284C3×D4—41no—
1285C3×D4—42no—
1286C3×D4—42no—
1287C3×D4—42no—
1288C3×D4—88no—
1289C2×C3×C4—22no—
1290C2×C3×C4—22no—
1291C2×C3×C4—22no—
1292C2×C3×C4—22no—
1293C2×C3×C4—41no—
1294C2×C3×C4—41no—
1295C2×C3×C4—41no—
1296C2×C3×C4—41no—
1297C2×C3×C4—41no—
1298C2×C3×C4—41no—
1299C2×C3×C4—42no—
1300C2×C3×C4—42no—
1301C2×C3×C4—42no—
1302C2×C3×C4—42no—
1303C2×C3×C4—42no—
1304C2×C3×C4—42no—
1305C2×C3×C4—42no—
1306C2×C3×C4—42no—
1307C2×C3×C4—42no—
1308C2×C3×C4—42no—
1309C2×C3×C4—42no—
1310C2×C3×C4—42no—
1311C2×C3×C4—42no—
1312C2×C3×C4—42no—
1313C2×C3×C4—82no—
1314C2×C3×C4—82no—
1315C2×C3×C4—82no—
1316C2×C3×C4—81no—
1317C2×C3×C4C2×#12011yescharacteristic
1318C2×C3×C4C2×#12111yescharacteristic
1319C2×C3×C4C2×#12111yescharacteristic
1320C2×C3×C4#52511yescharacteristic
1321C2×C3×C4#53411yescharacteristic
1322C2×C3×C4#53411yescharacteristic
1323C2×C3×C4#53411yescharacteristic
1324C2×C3×C4#53411yescharacteristic
1325C2×C3×C4#53411yescharacteristic
1326C2×C3×C4#53811yescharacteristic
1327C2×C3×C4#53811yescharacteristic
1328C2×C3×C4#53811yescharacteristic
1329C2×C3×C4D4211yescharacteristic
1330C2×C3×C4D4211yescharacteristic
1331C2×C3×C4D4211yescharacteristic
1332C2×C3×C4D4211yescharacteristic
1333C2×C3×C4D4211yescharacteristic
1334C2×C3×C4#54611yescharacteristic
1335C2×C3×C4#54611yescharacteristic
1336C2×C3×C4#54611yescharacteristic
1337C2×C3×C4#54611yescharacteristic
1338C2×C3×C4#54611yescharacteristic
1339C2×C3×C4#54611yescharacteristic
1340C2×C3×C4#54611yescharacteristic
1341C2×C3×C4#55111yescharacteristic
1342C2×C3×C4#55111yescharacteristic
1343C2×C3×C4#56011yescharacteristic
1344C2×C3×C4H(3,𝔽4)11yescharacteristic
1345C3×C8—42no—
1346C3×C8—42no—
1347C3×C8—42no—
1348C3×C8—42no—
1349C3×C8—42no—
1350C3×C8—81no—
1351C3×C8—81no—
1352C3×C8—81no—
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356C24—21no—
1357C24—21no—
1358C24—21no—
1359C24—22no—
1360C24—22no—
1361C24—21no—
1362C24—22no—
1363C24—22no—
1364C24—22no—
1365C24—22no—
1366C24—44no—
1367C24—48no—
1368C24—48no—
1369C24—48no—
1370C24—48no—
1371C24—48no—
1372C24—48no—
1373C24—48no—
1374C24—41no—
1375C24—41no—
1376C24—41no—
1377C24—41no—
1378C24—41no—
1379C24—41no—
1380C24—41no—
1381C24—41no—
1382C24—88no—
1383C24—88no—
1384C24—88no—
1385C24—84no—
1386C24—84no—
1387C24—816no—
1388C24—816no—
1389C24—88no—
1390C24—88no—
1391C24—816no—
1392C24—816no—
1393C24—88no—
1394C24C3×#12312yes—
1395C24C2×C3×#4111yescharacteristic
1396#41—22no—
1397#41—22no—
1398#41—22no—
1399#41—22no—
1400#41—22no—
1401#41—22no—
1402#41—22no—
1403#41—22no—
1404#41—41no—
1405#41—41no—
1406#41—41no—
1407#41—41no—
1408#41—41no—
1409#41—41no—
1410#41—41no—
1411#41—41no—
1412C2×Q8—21no—
1413C2×Q8—21no—
1414C2×Q8—21no—
1415C2×Q8—21no—
1416C2×Q8—21no—
1417C2×Q8C3×#12012yes—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—21no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—21no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—21no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—22no—
1440C2×D4—22no—
1441C2×D4—21no—
1442C2×D4—22no—
1443C2×D4—22no—
1444C2×D4—22no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—22no—
1448C2×D4—22no—
1449C2×D4—22no—
1450C2×D4—21no—
1451C2×D4—22no—
1452C2×D4—22no—
1453C2×D4—22no—
1454C2×D4—22no—
1455C2×D4—48no—
1456C2×D4—48no—
1457C2×D4—48no—
1458C2×D4—416no—
1459C2×D4—416no—
1460C2×D4—416no—
1461C2×D4—416no—
1462C2×D4—48no—
1463C2×D4—48no—
1464C2×D4—48no—
1465C2×D4—48no—
1466C2×D4—416no—
1467C2×D4—416no—
1468C2×D4—416no—
1469C2×D4—416no—
1470C2×D4—41no—
1471C2×D4—41no—
1472C2×D4—41no—
1473C2×D4—41no—
1474C2×D4—44no—
1475C2×D4—41no—
1476C2×D4—41no—
1477C2×D4—41no—
1478C2×D4—41no—
1479C2×D4—41no—
1480C2×D4—41no—
1481C2×D4—41no—
1482C2×D4—41no—
1483C2×D4—41no—
1484C2×D4—41no—
1485C2×D4—41no—
1486C2×D4—41no—
1487C2×D4—41no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—41no—
1498C2×D4—41no—
1499C2×D4—84no—
1500C2×D4C3×#12012yes—
1501C2×D4C3×#12114yes—
1502C2×D4C3×#12114yes—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—22no—
1516C22×C4—22no—
1517C22×C4—22no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—22no—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—22no—
1524C22×C4—22no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—41no—
1531C22×C4—41no—
1532C22×C4—41no—
1533C22×C4—41no—
1534C22×C4—41no—
1535C22×C4—41no—
1536C22×C4—41no—
1537C22×C4—41no—
1538C22×C4—41no—
1539C22×C4—41no—
1540C22×C4—41no—
1541C22×C4—41no—
1542C22×C4—41no—
1543C22×C4—41no—
1544C22×C4—41no—
1545C22×C4—41no—
1546C22×C4—41no—
1547C22×C4C3×#12312yes—
1548C22×C4C22×C3×D411yescharacteristic
1549C22×C4C22×C3×D411yescharacteristic
1550C22×C4C22×C3×D411yescharacteristic
1551C22×C4C22×C3×D411yescharacteristic
1552C22×C4C22×C3×D411yescharacteristic
1553C22×C4C2×C3×#4111yescharacteristic
1554C22×C4C2×C3×#4111yescharacteristic
1555C22×C4C2×C3×#4111yescharacteristic
1556C22×C4C3×H(5,𝔽2)11yescharacteristic
1557C22×C4C3×H(5,𝔽2)11yescharacteristic
1558C22×C4C3×H(5,𝔽2)11yescharacteristic
1559C22×C4C3×H(5,𝔽2)11yescharacteristic
1560C22×C4C3×H(5,𝔽2)11yescharacteristic
1561C22×C4C3×H(5,𝔽2)11yescharacteristic
1562SD16—48no—
1563SD16—48no—
1564D8—48no—
1565D8—48no—
1566M16—22no—
1567M16—22no—
1568M16—22no—
1569M16—22no—
1570M16—22no—
1571M16—22no—
1572M16—48no—
1573M16—41no—
1574M16—41no—
1575M16—41no—
1576M16—41no—
1577M16—41no—
1578M16—41no—
1579M16—41no—
1580M16—41no—
1581M16—41no—
1582M16—41no—
1583M16—41no—
1584M16—41no—
1585M16—41no—
1586M16—41no—
1587M16—41no—
1588M16—41no—
1589M16—41no—
1590M16—41no—
1591M16—41no—
1592M16—41no—
1593M16—41no—
1594M16—41no—
1595M16—41no—
1596M16—41no—
1597M16—41no—
1598M16—41no—
1599C2×C8—22no—
1600C2×C8—22no—
1601C2×C8—22no—
1602C2×C8—22no—
1603C2×C8—22no—
1604C2×C8—22no—
1605C2×C8—22no—
1606C2×C8—22no—
1607C2×C8—22no—
1608C2×C8—48no—
1609C2×C8—41no—
1610C2×C8—41no—
1611C2×C8—41no—
1612C2×C8—41no—
1613C2×C8—41no—
1614C2×C8—41no—
1615C2×C8—41no—
1616C2×C8—41no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8—41no—
1620C2×C8—41no—
1621C2×C8—41no—
1622C2×C8—41no—
1623C2×C8—41no—
1624C4⋊C4—22no—
1625C4⋊C4—22no—
1626C4⋊C4—22no—
1627C4⋊C4—44no—
1628C4⋊C4—41no—
1629C4⋊C4—41no—
1630C4⋊C4—41no—
1631C22⋊C4—22no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—41no—
1635C22⋊C4—41no—
1636C22⋊C4—41no—
1637C22⋊C4—41no—
1638C22⋊C4—41no—
1639C22⋊C4—84no—
1640C42—22no—
1641C42—41no—
1642C42—41no—
1643C42—41no—
1644C42—41no—
1645C42—41no—
1646C22×C3—22no—
1647C22×C3—22no—
1648C22×C3—22no—
1649C22×C3—24no—
1650C22×C3—24no—
1651C22×C3—24no—
1652C22×C3—41no—
1653C22×C3—41no—
1654C22×C3—41no—
1655C22×C3—41no—
1656C22×C3—42no—
1657C22×C3—44no—
1658C22×C3—42no—
1659C22×C3—42no—
1660C22×C3—44no—
1661C22×C3—44no—
1662C22×C3—42no—
1663C22×C3—44no—
1664C22×C3—42no—
1665C22×C3—44no—
1666C22×C3—44no—
1667C22×C3—82no—
1668C22×C3—84no—
1669C22×C3—84no—
1670C22×C3—84no—
1671C22×C3—84no—
1672C22×C3—84no—
1673C22×C3—84no—
1674C22×C3—84no—
1675C22×C3—84no—
1676C22×C3—84no—
1677C22×C3—84no—
1678C22×C3—84no—
1679C22×C3—84no—
1680C22×C3—864no—
1681C22×C3—82no—
1682C22×C3—84no—
1683C22×C3—84no—
1684C22×C3—161no—
1685C22×C3#240511yescharacteristic
1686C22×C3#241811yescharacteristic
1687C22×C3#241811yescharacteristic
1688C22×C3#242411yescharacteristic
1689C22×C3#253411yescharacteristic
1690C22×C3#266811yescharacteristic
1691C22×C3#268411yescharacteristic
1692C3×C4—42no—
1693C3×C4—42no—
1694C3×C4—82no—
1695C3×C4—82no—
1696C3×C4—161no—
1697C3×C4#241011yescharacteristic
1698C3×C4#241011yescharacteristic
1699C3×C4#242411yescharacteristic
1700C3×C4#253411yescharacteristic
1701C3×C4#266811yescharacteristic
1702C3×C4#267911yescharacteristic
1703C3×C4#268411yescharacteristic
1704C3×C4#269711yescharacteristic
1705C23—24no—
1706C23—24no—
1707C23—24no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—24no—
1714C23—44no—
1715C23—42no—
1716C23—42no—
1717C23—42no—
1718C23—42no—
1719C23—44no—
1720C23—44no—
1721C23—44no—
1722C23—41no—
1723C23—41no—
1724C23—41no—
1725C23—41no—
1726C23—432no—
1727C23—42no—
1728C23—42no—
1729C23—41no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—42no—
1734C23—42no—
1735C23—42no—
1736C23—42no—
1737C23—42no—
1738C23—42no—
1739C23—42no—
1740C23—41no—
1741C23—84no—
1742C23—84no—
1743C23—84no—
1744C23—84no—
1745C23—816no—
1746C23—816no—
1747C23—84no—
1748C23—84no—
1749C23—816no—
1750C23—82no—
1751C23—84no—
1752C23—84no—
1753C23—84no—
1754C23—84no—
1755C23—84no—
1756C23—84no—
1757C23—84no—
1758C23—84no—
1759C23—832no—
1760C23—832no—
1761C23—816no—
1762C23—816no—
1763C23—816no—
1764C23—832no—
1765C23—832no—
1766C23C2×C3×#12311yescharacteristic
1767C23C3×#52511yescharacteristic
1768C23C3×#53811yescharacteristic
1769C23C3×#54611yescharacteristic
1770C23C3×#54611yescharacteristic
1771C23C3×#54611yescharacteristic
1772C23C3×#55111yescharacteristic
1773Q8—22no—
1774Q8—22no—
1775Q8—41no—
1776Q8—41no—
1777D4—22no—
1778D4—22no—
1779D4—24no—
1780D4—24no—
1781D4—24no—
1782D4—24no—
1783D4—432no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—41no—
1796D4—42no—
1797D4—42no—
1798D4—41no—
1799D4—42no—
1800D4—42no—
1801D4—42no—
1802D4—88no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—42no—
1817C2×C4—42no—
1818C2×C4—42no—
1819C2×C4—42no—
1820C2×C4—42no—
1821C2×C4—42no—
1822C2×C4—42no—
1823C2×C4—42no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—82no—
1828C2×C4—82no—
1829C2×C4—82no—
1830C2×C4—81no—
1831C2×C4C2×C3×#12011yescharacteristic
1832C2×C4C2×C3×#12111yescharacteristic
1833C2×C4C2×C3×#12111yescharacteristic
1834C2×C4C3×#52511yescharacteristic
1835C2×C4C3×#53411yescharacteristic
1836C2×C4C3×#53411yescharacteristic
1837C2×C4C3×#53411yescharacteristic
1838C2×C4C3×#53411yescharacteristic
1839C2×C4C3×#53411yescharacteristic
1840C2×C4C3×#53811yescharacteristic
1841C2×C4C3×#53811yescharacteristic
1842C2×C4C3×#53811yescharacteristic
1843C2×C4C3×D4211yescharacteristic
1844C2×C4C3×D4211yescharacteristic
1845C2×C4C3×D4211yescharacteristic
1846C2×C4C3×D4211yescharacteristic
1847C2×C4C3×D4211yescharacteristic
1848C2×C4C3×#54611yescharacteristic
1849C2×C4C3×#54611yescharacteristic
1850C2×C4C3×#54611yescharacteristic
1851C2×C4C3×#54611yescharacteristic
1852C2×C4C3×#54611yescharacteristic
1853C2×C4C3×#54611yescharacteristic
1854C2×C4C3×#54611yescharacteristic
1855C2×C4C3×#55111yescharacteristic
1856C2×C4C3×#55111yescharacteristic
1857C2×C4C3×#56011yescharacteristic
1858C2×C4C3×H(3,𝔽4)11yescharacteristic
1859C8—42no—
1860C8—42no—
1861C8—42no—
1862C8—42no—
1863C8—42no—
1864C8—81no—
1865C8—81no—
1866C8—81no—
1867C2×C3—21no—
1868C2×C3—21no—
1869C2×C3—21no—
1870C2×C3—21no—
1871C2×C3—21no—
1872C2×C3—21no—
1873C2×C3—44no—
1874C2×C3—84no—
1875C2×C3—84no—
1876C2×C3—82no—
1877C2×C3#1526611yescharacteristic
1878C2×C3#3043412yes—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—24no—
1883C22—24no—
1884C22—24no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—42no—
1890C22—44no—
1891C22—42no—
1892C22—42no—
1893C22—44no—
1894C22—44no—
1895C22—42no—
1896C22—44no—
1897C22—42no—
1898C22—44no—
1899C22—44no—
1900C22—82no—
1901C22—84no—
1902C22—84no—
1903C22—84no—
1904C22—84no—
1905C22—84no—
1906C22—84no—
1907C22—84no—
1908C22—84no—
1909C22—84no—
1910C22—84no—
1911C22—84no—
1912C22—84no—
1913C22—864no—
1914C22—84no—
1915C22—84no—
1916C22—82no—
1917C22—161no—
1918C22C3×#240511yescharacteristic
1919C22C3×#241811yescharacteristic
1920C22C3×#241811yescharacteristic
1921C22C3×#242411yescharacteristic
1922C22C3×#253411yescharacteristic
1923C22C3×#266811yescharacteristic
1924C22C3×#268411yescharacteristic
1925C4—42no—
1926C4—42no—
1927C4—82no—
1928C4—82no—
1929C4—161no—
1930C4C3×#241011yescharacteristic
1931C4C3×#241011yescharacteristic
1932C4C3×#242411yescharacteristic
1933C4C3×#253411yescharacteristic
1934C4C3×#266811yescharacteristic
1935C4C3×#267911yescharacteristic
1936C4C3×#268411yescharacteristic
1937C4C3×#269711yescharacteristic
1938C3#41887611yescharacteristic, direct product factor, Sylow
1939C2—21no—
1940C2—21no—
1941C2—21no—
1942C2—21no—
1943C2—21no—
1944C2—21no—
1945C2—44no—
1946C2—84no—
1947C2—84no—
1948C2—82no—
1949C2C3×#1526611yescharacteristic
1950C2C3×#3043412yes—
subgroupG/H
center, socleC22×C3#2668
commutator, Frattini, cosocleC23×C4C24×C3
prime radicalC2×C3×#3003C2
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
2. C2×C3×#2048C2semidirect
3. C3×#23521C2semidirect
4. C3×#21005C2semidirect
5. C2×C3×#1903C2semidirect
6. C2×C3×#1891C2semidirect
7. C3×#20598C2semidirect
8. C2×C3×#1783C2semidirect
9. C3×#11181C2semidirect
10. C3×#11157C2semidirect
11. C3×#11142C2semidirect
12. C3×#11101C2semidirect
13. C3×#11071C2semidirect
14. C3×#11058C2semidirect
15. C3×#10994C2semidirect
16. #418876C3direct (N × H)
20. C2×C3×#568C22semidirect
26. C2×C3×#430C22semidirect
27. C3×#2905C22semidirect
28. C2×C3×#421C22semidirect
29. C3×#2896C22semidirect
36. C2×C3×#413C22semidirect
54. C2×C3×#344C22semidirect
55. C2×C3×#344C22semidirect
56. C2×C3×#344C22semidirect
57. C2×C3×#344C22semidirect
58. C3×#1742C22semidirect
59. C3×#1738C22semidirect
60. C3×#1738C22semidirect
61. C3×#1733C22semidirect
62. C2×C3×#338C22semidirect
63. C2×C3×H(3,ℤ/4)C22semidirect
65. C2×#2048C2×C3semidirect
66. #23521C2×C3semidirect
67. #21005C2×C3semidirect
68. C2×#1903C2×C3semidirect
69. C2×#1891C2×C3semidirect
70. #20598C2×C3semidirect
71. C2×#1783C2×C3semidirect
72. #11181C2×C3semidirect
73. #11157C2×C3semidirect
74. #11142C2×C3semidirect
75. #11101C2×C3semidirect
76. #11071C2×C3semidirect
77. #11058C2×C3semidirect
78. #10994C2×C3semidirect
174. C2×C3×#102D4semidirect
190. C2×C3×#100D4semidirect
220. C2×#568C22×C3semidirect
226. C2×#430C22×C3semidirect
227. #2905C22×C3semidirect
228. C2×#421C22×C3semidirect
229. #2896C22×C3semidirect
236. C2×#413C22×C3semidirect
254. C2×#344C22×C3semidirect
255. C2×#344C22×C3semidirect
256. C2×#344C22×C3semidirect
257. C2×#344C22×C3semidirect
258. #1742C22×C3semidirect
259. #1738C22×C3semidirect
260. #1738C22×C3semidirect
261. #1733C22×C3semidirect
262. C2×#338C22×C3semidirect
263. C2×H(3,ℤ/4)C22×C3semidirect
607. C2×#102C3×D4semidirect
623. C2×#100C3×D4semidirect
1938. C3#418876direct (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
C2×C3×#20482
C3×#235212
C3×#210052
C2×C3×#19032
C2×C3×#18912
C3×#205982
C2×C3×#17832
C3×#111812
C3×#111572
C3×#111422
C3×#111012
C3×#110712
C3×#110582
C3×#109942
#4188763