Finite Group Databasebeta

← C3×#15315 #10633922

Subgroups — C3×#15315 #10633922

Order 768.

2922 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#121C211yesmaximal, characteristic, complemented
2C2×C3×#396C211yesmaximal, characteristic, complemented
3C2×C3×#394C211yesmaximal, characteristic, complemented
4C2×C3×#392C211yesmaximal, characteristic, complemented
5C2×C3×#392C211yesmaximal, characteristic, complemented
6C2×C3×#392C211yesmaximal, characteristic, complemented
7C2×C3×#390C211yesmaximal, characteristic, complemented
8C2×C3×#390C211yesmaximal, characteristic, complemented
9C2×C3×#386C211yesmaximal, characteristic, complemented
10C2×C3×#385C211yesmaximal, characteristic, complemented
11C3×#1439C211yesmaximal, characteristic, complemented
12C3×#1439C211yesmaximal, characteristic, complemented
13C3×#1438C211yesmaximal, characteristic, complemented
14C3×#1438C211yesmaximal, characteristic, complemented
15C3×#1436C211yesmaximal, characteristic, complemented
16#15315C311yesmaximal, characteristic, direct product factor, Sylow
17C23×C3×D4C2211yescharacteristic
18C23×C3×D4C2211yescharacteristic
19C23×C3×D4C2211yescharacteristic
20C23×C3×D4C2211yescharacteristic
21C23×C3×D4C2211yescharacteristic
22C23×C3×D4C2211yescharacteristic
23C24×C3×C4C2211yescharacteristic
24C2×C3×#121—24no—
25C2×C3×#121—24no—
26C2×C3×#121—24no—
27C22×C3×C4⋊C4C2211yescharacteristic
28C22×C3×C4⋊C4C2211yescharacteristic
29C22×C3×C4⋊C4C2211yescharacteristic
30C22×C3×C4⋊C4C2211yescharacteristic
31C22×C3×C22⋊C4C2211yescharacteristic
32C22×C3×C22⋊C4C2211yescharacteristic
33C22×C3×C22⋊C4C2211yescharacteristic
34C22×C3×C22⋊C4C2211yescharacteristic
35C22×C3×C22⋊C4C2211yescharacteristic
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C22×C3×C22⋊C4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C22×C3×C22⋊C4C2211yescharacteristic
42C22×C3×C22⋊C4C2211yescharacteristic
43C22×C3×C22⋊C4C2211yescharacteristic
44C22×C3×C22⋊C4C2211yescharacteristic
45C22×C3×C22⋊C4C2211yescharacteristic
46C22×C3×C42C2211yescharacteristic
47C3×#396—24no—
48C3×#394—24no—
49C3×#392—24no—
50C3×#392—24no—
51C3×#392—24no—
52C3×#390—24no—
53C3×#390—24no—
54C3×#386—24no—
55C3×#385—24no—
56C2×C3×#95C2211yescharacteristic
57C2×C3×#95C2211yescharacteristic
58C2×C3×#95C2211yescharacteristic
59C2×C3×#95C2211yescharacteristic
60C2×C3×#95C2211yescharacteristic
61C2×C3×#95C2211yescharacteristic
62C2×C3×#95C2211yescharacteristic
63C2×C3×#95C2211yescharacteristic
64C22×#121C2×C311yescharacteristic, complemented
65C2×#396C2×C311yescharacteristic, complemented
66C2×#394C2×C311yescharacteristic, complemented
67C2×#392C2×C311yescharacteristic, complemented
68C2×#392C2×C311yescharacteristic, complemented
69C2×#392C2×C311yescharacteristic, complemented
70C2×#390C2×C311yescharacteristic, complemented
71C2×#390C2×C311yescharacteristic, complemented
72C2×#386C2×C311yescharacteristic, complemented
73C2×#385C2×C311yescharacteristic, complemented
74#1439C2×C311yescharacteristic, complemented
75#1439C2×C311yescharacteristic, complemented
76#1438C2×C311yescharacteristic, complemented
77#1438C2×C311yescharacteristic, complemented
78#1436C2×C311yescharacteristic, complemented
79C25×C3C2311yescharacteristic
80C25×C3C2311yescharacteristic
81C25×C3C2311yescharacteristic
82C25×C3C2311yescharacteristic
83C22×C3×D4—22no—
84C22×C3×D4—22no—
85C22×C3×D4—22no—
86C22×C3×D4—22no—
87C22×C3×D4—22no—
88C22×C3×D4—22no—
89C22×C3×D4—22no—
90C22×C3×D4—22no—
91C22×C3×D4—22no—
92C22×C3×D4—22no—
93C22×C3×D4—22no—
94C22×C3×D4—22no—
95C22×C3×D4—22no—
96C22×C3×D4—22no—
97C22×C3×D4—22no—
98C22×C3×D4—22no—
99C22×C3×D4—22no—
100C22×C3×D4—22no—
101C22×C3×D4—22no—
102C22×C3×D4—22no—
103C22×C3×D4—22no—
104C22×C3×D4—22no—
105C22×C3×D4—22no—
106C22×C3×D4—22no—
107C22×C3×D4—22no—
108C22×C3×D4—22no—
109C22×C3×D4—22no—
110C22×C3×D4—41no—
111C22×C3×D4—41no—
112C22×C3×D4—41no—
113C22×C3×D4—41no—
114C22×C3×D4—41no—
115C22×C3×D4—41no—
116C22×C3×D4—41no—
117C22×C3×D4—41no—
118C22×C3×D4—41no—
119C22×C3×D4—41no—
120C22×C3×D4—41no—
121C22×C3×D4—41no—
122C22×C3×D4—41no—
123C22×C3×D4—41no—
124C22×C3×D4D414yescomplemented
125C23×C3×C4—22no—
126C23×C3×C4—22no—
127C23×C3×C4—22no—
128C23×C3×C4—22no—
129C23×C3×C4—22no—
130C23×C3×C4—41no—
131C23×C3×C4—41no—
132C23×C3×C4C2311yescharacteristic
133C23×C3×C4C2311yescharacteristic
134C23×C3×C4C2311yescharacteristic
135C23×C3×C4C2311yescharacteristic
136C23×C3×C4C2311yescharacteristic
137C23×C3×C4C2311yescharacteristic
138C23×C3×C4C2311yescharacteristic
139C23×C3×C4C2311yescharacteristic
140C23×C3×C4C2311yescharacteristic
141C23×C3×C4C2311yescharacteristic
142C23×C3×C4C2311yescharacteristic
143C3×#121—232no—
144C2×C3×C4⋊C4—22no—
145C2×C3×C4⋊C4—22no—
146C2×C3×C4⋊C4—22no—
147C2×C3×C4⋊C4—22no—
148C2×C3×C4⋊C4—22no—
149C2×C3×C4⋊C4—22no—
150C2×C3×C4⋊C4—22no—
151C2×C3×C4⋊C4—22no—
152C2×C3×C4⋊C4—22no—
153C2×C3×C4⋊C4—41no—
154C2×C3×C4⋊C4—41no—
155C2×C3×C4⋊C4D414yescomplemented
156C2×C3×C22⋊C4—22no—
157C2×C3×C22⋊C4—22no—
158C2×C3×C22⋊C4—22no—
159C2×C3×C22⋊C4—22no—
160C2×C3×C22⋊C4—22no—
161C2×C3×C22⋊C4—22no—
162C2×C3×C22⋊C4—22no—
163C2×C3×C22⋊C4—22no—
164C2×C3×C22⋊C4—22no—
165C2×C3×C22⋊C4—22no—
166C2×C3×C22⋊C4—22no—
167C2×C3×C22⋊C4—22no—
168C2×C3×C22⋊C4—22no—
169C2×C3×C22⋊C4—22no—
170C2×C3×C22⋊C4—22no—
171C2×C3×C22⋊C4—22no—
172C2×C3×C22⋊C4—22no—
173C2×C3×C22⋊C4—22no—
174C2×C3×C22⋊C4—22no—
175C2×C3×C22⋊C4—22no—
176C2×C3×C22⋊C4—22no—
177C2×C3×C22⋊C4—22no—
178C2×C3×C22⋊C4—22no—
179C2×C3×C22⋊C4—22no—
180C2×C3×C22⋊C4—22no—
181C2×C3×C22⋊C4—22no—
182C2×C3×C22⋊C4—22no—
183C2×C3×C22⋊C4—22no—
184C2×C3×C22⋊C4—22no—
185C2×C3×C22⋊C4—22no—
186C2×C3×C22⋊C4—22no—
187C2×C3×C22⋊C4—22no—
188C2×C3×C22⋊C4—22no—
189C2×C3×C22⋊C4—41no—
190C2×C3×C22⋊C4—41no—
191C2×C3×C22⋊C4—41no—
192C2×C3×C22⋊C4—41no—
193C2×C3×C22⋊C4—41no—
194C2×C3×C22⋊C4—41no—
195C2×C3×C22⋊C4—41no—
196C2×C3×C22⋊C4—41no—
197C2×C3×C22⋊C4—41no—
198C2×C3×C22⋊C4—41no—
199C2×C3×C22⋊C4D414yescomplemented
200C2×C3×C22⋊C4D414yescomplemented
201C2×C3×C42—22no—
202C2×C3×C42—22no—
203C2×C3×C42—41no—
204C3×#95—22no—
205C3×#95—22no—
206C3×#95—22no—
207C3×#95—22no—
208C3×#95—22no—
209C3×#95—41no—
210C3×#95D414yescomplemented
211C3×#95D414yescomplemented
212C23×D4C22×C311yescharacteristic
213C23×D4C22×C311yescharacteristic
214C23×D4C22×C311yescharacteristic
215C23×D4C22×C311yescharacteristic
216C23×D4C22×C311yescharacteristic
217C23×D4C22×C311yescharacteristic
218C24×C4C22×C311yescharacteristic
219C2×#121—24no—
220C2×#121—24no—
221C2×#121—24no—
222C22×C4⋊C4C22×C311yescharacteristic
223C22×C4⋊C4C22×C311yescharacteristic
224C22×C4⋊C4C22×C311yescharacteristic
225C22×C4⋊C4C22×C311yescharacteristic
226C22×C22⋊C4C22×C311yescharacteristic
227C22×C22⋊C4C22×C311yescharacteristic
228C22×C22⋊C4C22×C311yescharacteristic
229C22×C22⋊C4C22×C311yescharacteristic
230C22×C22⋊C4C22×C311yescharacteristic
231C22×C22⋊C4C22×C311yescharacteristic
232C22×C22⋊C4C22×C311yescharacteristic
233C22×C22⋊C4C22×C311yescharacteristic
234C22×C22⋊C4C22×C311yescharacteristic
235C22×C22⋊C4C22×C311yescharacteristic
236C22×C22⋊C4C22×C311yescharacteristic
237C22×C22⋊C4C22×C311yescharacteristic
238C22×C22⋊C4C22×C311yescharacteristic
239C22×C22⋊C4C22×C311yescharacteristic
240C22×C22⋊C4C22×C311yescharacteristic
241C22×C42C22×C311yescharacteristic
242#396—24no—
243#394—24no—
244#392—24no—
245#392—24no—
246#392—24no—
247#390—24no—
248#390—24no—
249#386—24no—
250#385—24no—
251C2×#95C22×C311yescharacteristic
252C2×#95C22×C311yescharacteristic
253C2×#95C22×C311yescharacteristic
254C2×#95C22×C311yescharacteristic
255C2×#95C22×C311yescharacteristic
256C2×#95C22×C311yescharacteristic
257C2×#95C22×C311yescharacteristic
258C2×#95C22×C311yescharacteristic
259C24×C3—21no—
260C24×C3—21no—
261C24×C3—21no—
262C24×C3—21no—
263C24×C3—21no—
264C24×C3—21no—
265C24×C3—21no—
266C24×C3—21no—
267C24×C3—21no—
268C24×C3—21no—
269C24×C3—21no—
270C24×C3—21no—
271C24×C3—21no—
272C24×C3—21no—
273C24×C3—21no—
274C24×C3—21no—
275C24×C3—21no—
276C24×C3—21no—
277C24×C3—21no—
278C24×C3—21no—
279C24×C3—21no—
280C24×C3—21no—
281C24×C3—21no—
282C24×C3—21no—
283C24×C3—21no—
284C24×C3—21no—
285C24×C3—21no—
286C24×C3—21no—
287C24×C3—21no—
288C24×C3—21no—
289C24×C3—21no—
290C24×C3—21no—
291C24×C3—21no—
292C24×C3—21no—
293C24×C3—21no—
294C24×C3—21no—
295C24×C3—21no—
296C24×C3—21no—
297C24×C3—21no—
298C24×C3—21no—
299C24×C3—21no—
300C24×C3—21no—
301C24×C3—21no—
302C24×C3—21no—
303C24×C3—21no—
304C24×C3—21no—
305C24×C3—21no—
306C24×C3—21no—
307C24×C3—21no—
308C24×C3—21no—
309C24×C3—21no—
310C24×C3—21no—
311C24×C3—21no—
312C24×C3—21no—
313C24×C3C2×D412yes—
314C24×C3C2×D412yes—
315C24×C3C2×D412yes—
316C24×C3C2×D412yes—
317C24×C3#4112yes—
318C24×C3#4112yes—
319C24×C3C2411yescharacteristic
320C2×C3×D4—28no—
321C2×C3×D4—28no—
322C2×C3×D4—28no—
323C2×C3×D4—28no—
324C2×C3×D4—28no—
325C2×C3×D4—28no—
326C2×C3×D4—44no—
327C2×C3×D4—44no—
328C2×C3×D4—44no—
329C2×C3×D4—44no—
330C2×C3×D4—44no—
331C2×C3×D4—44no—
332C2×C3×D4—44no—
333C2×C3×D4—44no—
334C2×C3×D4—44no—
335C2×C3×D4—44no—
336C2×C3×D4—44no—
337C2×C3×D4—44no—
338C2×C3×D4—44no—
339C2×C3×D4—44no—
340C2×C3×D4—44no—
341C2×C3×D4—44no—
342C2×C3×D4—44no—
343C2×C3×D4—44no—
344C2×C3×D4—44no—
345C2×C3×D4—44no—
346C2×C3×D4—44no—
347C2×C3×D4—44no—
348C2×C3×D4—44no—
349C2×C3×D4—44no—
350C2×C3×D4—44no—
351C2×C3×D4—44no—
352C2×C3×D4—44no—
353C2×C3×D4—44no—
354C2×C3×D4—44no—
355C2×C3×D4—44no—
356C2×C3×D4—44no—
357C2×C3×D4—44no—
358C2×C3×D4—44no—
359C2×C3×D4—44no—
360C2×C3×D4—44no—
361C2×C3×D4—44no—
362C22×C3×C4—21no—
363C22×C3×C4—21no—
364C22×C3×C4—21no—
365C22×C3×C4—21no—
366C22×C3×C4—21no—
367C22×C3×C4—21no—
368C22×C3×C4—21no—
369C22×C3×C4—21no—
370C22×C3×C4—21no—
371C22×C3×C4—21no—
372C22×C3×C4—21no—
373C22×C3×C4—21no—
374C22×C3×C4—28no—
375C22×C3×C4—21no—
376C22×C3×C4—21no—
377C22×C3×C4—21no—
378C22×C3×C4—21no—
379C22×C3×C4—21no—
380C22×C3×C4—21no—
381C22×C3×C4—21no—
382C22×C3×C4—21no—
383C22×C3×C4—21no—
384C22×C3×C4—21no—
385C22×C3×C4—21no—
386C22×C3×C4—21no—
387C22×C3×C4—21no—
388C22×C3×C4—21no—
389C22×C3×C4—21no—
390C22×C3×C4—21no—
391C22×C3×C4—21no—
392C22×C3×C4—21no—
393C22×C3×C4—21no—
394C22×C3×C4—21no—
395C22×C3×C4—21no—
396C22×C3×C4—21no—
397C22×C3×C4—21no—
398C22×C3×C4—21no—
399C22×C3×C4—21no—
400C22×C3×C4—21no—
401C22×C3×C4—21no—
402C22×C3×C4—21no—
403C22×C3×C4—21no—
404C22×C3×C4—21no—
405C22×C3×C4—21no—
406C22×C3×C4—21no—
407C22×C3×C4—21no—
408C22×C3×C4—21no—
409C22×C3×C4—21no—
410C22×C3×C4—21no—
411C22×C3×C4—21no—
412C22×C3×C4—21no—
413C22×C3×C4—21no—
414C22×C3×C4—21no—
415C22×C3×C4—21no—
416C22×C3×C4—21no—
417C22×C3×C4—21no—
418C22×C3×C4—21no—
419C22×C3×C4—21no—
420C22×C3×C4—21no—
421C22×C3×C4—21no—
422C22×C3×C4—21no—
423C22×C3×C4—21no—
424C22×C3×C4—21no—
425C22×C3×C4—44no—
426C22×C3×C4—44no—
427C22×C3×C4—44no—
428C22×C3×C4—44no—
429C22×C3×C4—44no—
430C22×C3×C4—44no—
431C22×C3×C4C2×D412yes—
432C22×C3×C4C2×D412yes—
433C22×C3×C4C2×D412yes—
434C22×C3×C4C2×D412yes—
435C22×C3×C4C2×D412yes—
436C22×C3×C4C2×D412yes—
437C22×C3×C4C2×D412yes—
438C22×C3×C4C2×D412yes—
439C22×C3×C4C2×D412yes—
440C22×C3×C4C2×D412yes—
441C22×C3×C4C2×D412yes—
442C22×C3×C4C2×D412yes—
443C22×C3×C4C2×D412yes—
444C22×C3×C4C2×D412yes—
445C22×C3×C4#4112yes—
446C3×C4⋊C4—28no—
447C3×C4⋊C4—44no—
448C3×C4⋊C4—44no—
449C3×C4⋊C4—44no—
450C3×C22⋊C4—28no—
451C3×C22⋊C4—28no—
452C3×C22⋊C4—28no—
453C3×C22⋊C4—44no—
454C3×C22⋊C4—44no—
455C3×C22⋊C4—44no—
456C3×C22⋊C4—44no—
457C3×C22⋊C4—44no—
458C3×C22⋊C4—44no—
459C3×C22⋊C4—44no—
460C3×C22⋊C4—44no—
461C3×C22⋊C4—44no—
462C3×C22⋊C4—44no—
463C3×C22⋊C4—44no—
464C3×C22⋊C4—44no—
465C3×C42—44no—
466C25C23×C311yescharacteristic
467C25C23×C311yescharacteristic
468C25C23×C311yescharacteristic
469C25C23×C311yescharacteristic
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—22no—
497C22×D4—41no—
498C22×D4—41no—
499C22×D4—41no—
500C22×D4—41no—
501C22×D4—41no—
502C22×D4—41no—
503C22×D4—41no—
504C22×D4—41no—
505C22×D4—41no—
506C22×D4—41no—
507C22×D4—41no—
508C22×D4—41no—
509C22×D4—41no—
510C22×D4—41no—
511C22×D4C3×D414yescomplemented
512C23×C4—22no—
513C23×C4—22no—
514C23×C4—22no—
515C23×C4—22no—
516C23×C4—22no—
517C23×C4—41no—
518C23×C4—41no—
519C23×C4C23×C311yescharacteristic
520C23×C4C23×C311yescharacteristic
521C23×C4C23×C311yescharacteristic
522C23×C4C23×C311yescharacteristic
523C23×C4C23×C311yescharacteristic
524C23×C4C23×C311yescharacteristic
525C23×C4C23×C311yescharacteristic
526C23×C4C23×C311yescharacteristic
527C23×C4C23×C311yescharacteristic
528C23×C4C23×C311yescharacteristic
529C23×C4C23×C311yescharacteristic
530#121—232no—
531C2×C4⋊C4—22no—
532C2×C4⋊C4—22no—
533C2×C4⋊C4—22no—
534C2×C4⋊C4—22no—
535C2×C4⋊C4—22no—
536C2×C4⋊C4—22no—
537C2×C4⋊C4—22no—
538C2×C4⋊C4—22no—
539C2×C4⋊C4—22no—
540C2×C4⋊C4—41no—
541C2×C4⋊C4—41no—
542C2×C4⋊C4C3×D414yescomplemented
543C2×C22⋊C4—22no—
544C2×C22⋊C4—22no—
545C2×C22⋊C4—22no—
546C2×C22⋊C4—22no—
547C2×C22⋊C4—22no—
548C2×C22⋊C4—22no—
549C2×C22⋊C4—22no—
550C2×C22⋊C4—22no—
551C2×C22⋊C4—22no—
552C2×C22⋊C4—22no—
553C2×C22⋊C4—22no—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—22no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—22no—
560C2×C22⋊C4—22no—
561C2×C22⋊C4—22no—
562C2×C22⋊C4—22no—
563C2×C22⋊C4—22no—
564C2×C22⋊C4—22no—
565C2×C22⋊C4—22no—
566C2×C22⋊C4—22no—
567C2×C22⋊C4—22no—
568C2×C22⋊C4—22no—
569C2×C22⋊C4—22no—
570C2×C22⋊C4—22no—
571C2×C22⋊C4—22no—
572C2×C22⋊C4—22no—
573C2×C22⋊C4—22no—
574C2×C22⋊C4—22no—
575C2×C22⋊C4—22no—
576C2×C22⋊C4—41no—
577C2×C22⋊C4—41no—
578C2×C22⋊C4—41no—
579C2×C22⋊C4—41no—
580C2×C22⋊C4—41no—
581C2×C22⋊C4—41no—
582C2×C22⋊C4—41no—
583C2×C22⋊C4—41no—
584C2×C22⋊C4—41no—
585C2×C22⋊C4—41no—
586C2×C22⋊C4C3×D414yescomplemented
587C2×C22⋊C4C3×D414yescomplemented
588C2×C42—22no—
589C2×C42—22no—
590C2×C42—41no—
591#95—22no—
592#95—22no—
593#95—22no—
594#95—22no—
595#95—22no—
596#95—41no—
597#95C3×D414yescomplemented
598#95C3×D414yescomplemented
599C23×C3—22no—
600C23×C3—22no—
601C23×C3—22no—
602C23×C3—22no—
603C23×C3—22no—
604C23×C3—22no—
605C23×C3—22no—
606C23×C3—22no—
607C23×C3—22no—
608C23×C3—22no—
609C23×C3—22no—
610C23×C3—22no—
611C23×C3—22no—
612C23×C3—22no—
613C23×C3—22no—
614C23×C3—22no—
615C23×C3—22no—
616C23×C3—22no—
617C23×C3—22no—
618C23×C3—22no—
619C23×C3—22no—
620C23×C3—22no—
621C23×C3—22no—
622C23×C3—22no—
623C23×C3—22no—
624C23×C3—22no—
625C23×C3—22no—
626C23×C3—22no—
627C23×C3—22no—
628C23×C3—22no—
629C23×C3—22no—
630C23×C3—22no—
631C23×C3—22no—
632C23×C3—22no—
633C23×C3—22no—
634C23×C3—22no—
635C23×C3—22no—
636C23×C3—22no—
637C23×C3—22no—
638C23×C3—41no—
639C23×C3—41no—
640C23×C3—41no—
641C23×C3—41no—
642C23×C3—41no—
643C23×C3—41no—
644C23×C3—41no—
645C23×C3—41no—
646C23×C3—41no—
647C23×C3—41no—
648C23×C3—41no—
649C23×C3—41no—
650C23×C3—41no—
651C23×C3—41no—
652C23×C3—41no—
653C23×C3—41no—
654C23×C3—41no—
655C23×C3—41no—
656C23×C3—41no—
657C23×C3—41no—
658C23×C3—41no—
659C23×C3—41no—
660C23×C3—41no—
661C23×C3—41no—
662C23×C3—41no—
663C23×C3—41no—
664C23×C3—41no—
665C23×C3—41no—
666C23×C3—41no—
667C23×C3—41no—
668C23×C3—41no—
669C23×C3—41no—
670C23×C3—41no—
671C23×C3—41no—
672C23×C3—41no—
673C23×C3—41no—
674C23×C3—41no—
675C23×C3—41no—
676C23×C3—41no—
677C23×C3—41no—
678C23×C3—41no—
679C23×C3—41no—
680C23×C3—41no—
681C23×C3—41no—
682C23×C3—41no—
683C23×C3—41no—
684C23×C3—41no—
685C23×C3—41no—
686C23×C3—41no—
687C23×C3—41no—
688C23×C3—41no—
689C23×C3—41no—
690C23×C3—41no—
691C23×C3—41no—
692C23×C3—41no—
693C23×C3—41no—
694C23×C3—41no—
695C23×C3—41no—
696C23×C3—41no—
697C23×C3—41no—
698C23×C3—41no—
699C23×C3—41no—
700C23×C3—41no—
701C23×C3—41no—
702C23×C3—41no—
703C23×C3—41no—
704C23×C3—41no—
705C23×C3—41no—
706C23×C3—41no—
707C23×C3—41no—
708C23×C3—41no—
709C23×C3—41no—
710C23×C3—41no—
711C23×C3—41no—
712C23×C3—41no—
713C23×C3—41no—
714C23×C3—41no—
715C23×C3—41no—
716C23×C3—41no—
717C23×C3—41no—
718C23×C3—41no—
719C23×C3—41no—
720C23×C3—41no—
721C23×C3—41no—
722C23×C3—41no—
723C23×C3—41no—
724C23×C3—41no—
725C23×C3—41no—
726C23×C3—41no—
727C23×C3—41no—
728C23×C3—41no—
729C23×C3—41no—
730C23×C3—41no—
731C23×C3—41no—
732C23×C3—41no—
733C23×C3—41no—
734C23×C3—41no—
735C23×C3—41no—
736C23×C3—41no—
737C23×C3—41no—
738C23×C3#12114yes—
739C23×C3C22×D411yescharacteristic
740C23×C3C22×D411yescharacteristic
741C23×C3C22×D411yescharacteristic
742C23×C3C22×D411yescharacteristic
743C23×C3C22×D411yescharacteristic
744C23×C3C22×D411yescharacteristic
745C23×C3C2×#4111yescharacteristic
746C23×C3C2×#4111yescharacteristic
747C23×C3C2×#4111yescharacteristic
748C23×C3H(5,𝔽2)11yescharacteristic
749C23×C3H(5,𝔽2)11yescharacteristic
750C23×C3H(5,𝔽2)11yescharacteristic
751C23×C3H(5,𝔽2)11yescharacteristic
752C23×C3H(5,𝔽2)11yescharacteristic
753C23×C32−1+411yescharacteristic
754C3×D4—416no—
755C3×D4—416no—
756C3×D4—416no—
757C3×D4—416no—
758C3×D4—416no—
759C3×D4—416no—
760C2×C3×C4—22no—
761C2×C3×C4—22no—
762C2×C3×C4—22no—
763C2×C3×C4—22no—
764C2×C3×C4—22no—
765C2×C3×C4—22no—
766C2×C3×C4—22no—
767C2×C3×C4—22no—
768C2×C3×C4—22no—
769C2×C3×C4—22no—
770C2×C3×C4—22no—
771C2×C3×C4—22no—
772C2×C3×C4—22no—
773C2×C3×C4—22no—
774C2×C3×C4—22no—
775C2×C3×C4—22no—
776C2×C3×C4—22no—
777C2×C3×C4—22no—
778C2×C3×C4—22no—
779C2×C3×C4—22no—
780C2×C3×C4—22no—
781C2×C3×C4—22no—
782C2×C3×C4—22no—
783C2×C3×C4—22no—
784C2×C3×C4—22no—
785C2×C3×C4—22no—
786C2×C3×C4—22no—
787C2×C3×C4—22no—
788C2×C3×C4—22no—
789C2×C3×C4—22no—
790C2×C3×C4—22no—
791C2×C3×C4—22no—
792C2×C3×C4—22no—
793C2×C3×C4—22no—
794C2×C3×C4—22no—
795C2×C3×C4—22no—
796C2×C3×C4—416no—
797C2×C3×C4—41no—
798C2×C3×C4—41no—
799C2×C3×C4—41no—
800C2×C3×C4—41no—
801C2×C3×C4—41no—
802C2×C3×C4—41no—
803C2×C3×C4—41no—
804C2×C3×C4—41no—
805C2×C3×C4—41no—
806C2×C3×C4—41no—
807C2×C3×C4—41no—
808C2×C3×C4—41no—
809C2×C3×C4—41no—
810C2×C3×C4—41no—
811C2×C3×C4—41no—
812C2×C3×C4—41no—
813C2×C3×C4—41no—
814C2×C3×C4—41no—
815C2×C3×C4—41no—
816C2×C3×C4—41no—
817C2×C3×C4—41no—
818C2×C3×C4—41no—
819C2×C3×C4—41no—
820C2×C3×C4—41no—
821C2×C3×C4—41no—
822C2×C3×C4—41no—
823C2×C3×C4—41no—
824C2×C3×C4—41no—
825C2×C3×C4—41no—
826C2×C3×C4—41no—
827C2×C3×C4—41no—
828C2×C3×C4—41no—
829C2×C3×C4—41no—
830C2×C3×C4—41no—
831C2×C3×C4—41no—
832C2×C3×C4—41no—
833C2×C3×C4—41no—
834C2×C3×C4—41no—
835C2×C3×C4#12014yes—
836C2×C3×C4#12114yescomplemented
837C2×C3×C4#12714yes—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24C2×C3×D412yes—
893C24C2×C3×D412yes—
894C24C2×C3×D412yes—
895C24C2×C3×D412yes—
896C24C3×#4112yes—
897C24C3×#4112yes—
898C24C24×C311yescharacteristic
899C2×D4—28no—
900C2×D4—28no—
901C2×D4—28no—
902C2×D4—28no—
903C2×D4—28no—
904C2×D4—28no—
905C2×D4—44no—
906C2×D4—44no—
907C2×D4—44no—
908C2×D4—44no—
909C2×D4—44no—
910C2×D4—44no—
911C2×D4—44no—
912C2×D4—44no—
913C2×D4—44no—
914C2×D4—44no—
915C2×D4—44no—
916C2×D4—44no—
917C2×D4—44no—
918C2×D4—44no—
919C2×D4—44no—
920C2×D4—44no—
921C2×D4—44no—
922C2×D4—44no—
923C2×D4—44no—
924C2×D4—44no—
925C2×D4—44no—
926C2×D4—44no—
927C2×D4—44no—
928C2×D4—44no—
929C2×D4—44no—
930C2×D4—44no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—44no—
936C2×D4—44no—
937C2×D4—44no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—44no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—28no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—44no—
1005C22×C4—44no—
1006C22×C4—44no—
1007C22×C4—44no—
1008C22×C4—44no—
1009C22×C4—44no—
1010C22×C4C2×C3×D412yes—
1011C22×C4C2×C3×D412yes—
1012C22×C4C2×C3×D412yes—
1013C22×C4C2×C3×D412yes—
1014C22×C4C2×C3×D412yes—
1015C22×C4C2×C3×D412yes—
1016C22×C4C2×C3×D412yes—
1017C22×C4C2×C3×D412yes—
1018C22×C4C2×C3×D412yes—
1019C22×C4C2×C3×D412yes—
1020C22×C4C2×C3×D412yes—
1021C22×C4C2×C3×D412yes—
1022C22×C4C2×C3×D412yes—
1023C22×C4C2×C3×D412yes—
1024C22×C4C3×#4112yes—
1025C4⋊C4—28no—
1026C4⋊C4—44no—
1027C4⋊C4—44no—
1028C4⋊C4—44no—
1029C22⋊C4—28no—
1030C22⋊C4—28no—
1031C22⋊C4—28no—
1032C22⋊C4—44no—
1033C22⋊C4—44no—
1034C22⋊C4—44no—
1035C22⋊C4—44no—
1036C22⋊C4—44no—
1037C22⋊C4—44no—
1038C22⋊C4—44no—
1039C22⋊C4—44no—
1040C22⋊C4—44no—
1041C22⋊C4—44no—
1042C22⋊C4—44no—
1043C22⋊C4—44no—
1044C42—44no—
1045C22×C3—24no—
1046C22×C3—24no—
1047C22×C3—24no—
1048C22×C3—42no—
1049C22×C3—42no—
1050C22×C3—42no—
1051C22×C3—42no—
1052C22×C3—42no—
1053C22×C3—42no—
1054C22×C3—42no—
1055C22×C3—42no—
1056C22×C3—42no—
1057C22×C3—42no—
1058C22×C3—42no—
1059C22×C3—42no—
1060C22×C3—42no—
1061C22×C3—42no—
1062C22×C3—42no—
1063C22×C3—42no—
1064C22×C3—42no—
1065C22×C3—42no—
1066C22×C3—42no—
1067C22×C3—42no—
1068C22×C3—42no—
1069C22×C3—42no—
1070C22×C3—42no—
1071C22×C3—42no—
1072C22×C3—42no—
1073C22×C3—42no—
1074C22×C3—42no—
1075C22×C3—42no—
1076C22×C3—42no—
1077C22×C3—42no—
1078C22×C3—42no—
1079C22×C3—42no—
1080C22×C3—42no—
1081C22×C3—81no—
1082C22×C3—81no—
1083C22×C3—81no—
1084C22×C3—81no—
1085C22×C3—81no—
1086C22×C3—81no—
1087C22×C3—81no—
1088C22×C3—81no—
1089C22×C3—81no—
1090C22×C3—81no—
1091C22×C3—81no—
1092C22×C3—81no—
1093C22×C3—81no—
1094C22×C3—81no—
1095C22×C3—81no—
1096C22×C3—81no—
1097C22×C3—81no—
1098C22×C3—81no—
1099C22×C3—81no—
1100C22×C3—81no—
1101C22×C3—81no—
1102C22×C3—81no—
1103C22×C3—81no—
1104C22×C3—81no—
1105C22×C3C2×#12011yescharacteristic
1106C22×C3C2×#12111yescharacteristic
1107C22×C3C2×#12111yescharacteristic
1108C22×C3#52511yescharacteristic
1109C22×C3#52511yescharacteristic
1110C22×C3C2×#12711yescharacteristic
1111C22×C3#53411yescharacteristic
1112C22×C3#53511yescharacteristic
1113C22×C3#53511yescharacteristic
1114C22×C3#53711yescharacteristic
1115C22×C3#53711yescharacteristic
1116C22×C3#53711yescharacteristic
1117C22×C3#53811yescharacteristic
1118C22×C3#53811yescharacteristic
1119C22×C3#53811yescharacteristic
1120C22×C3D4211yescharacteristic
1121C22×C3D4211yescharacteristic
1122C22×C3D4211yescharacteristic
1123C22×C3D4211yescharacteristic
1124C22×C3D4211yescharacteristic
1125C22×C3D4211yescharacteristic
1126C22×C3D4211yescharacteristic
1127C22×C3#54611yescharacteristic
1128C22×C3#54611yescharacteristic
1129C22×C3#54611yescharacteristic
1130C22×C3#54611yescharacteristic
1131C22×C3#54611yescharacteristic
1132C22×C3#54711yescharacteristic
1133C22×C3#54811yescharacteristic
1134C22×C3#54811yescharacteristic
1135C22×C3#55011yescharacteristic
1136C22×C3#55011yescharacteristic
1137C22×C3#55311yescharacteristic
1138C22×C3#56011yescharacteristic
1139C22×C3#56211yescharacteristic
1140C3×C4—24no—
1141C3×C4—24no—
1142C3×C4—24no—
1143C3×C4—42no—
1144C3×C4—42no—
1145C3×C4—42no—
1146C3×C4—42no—
1147C3×C4—42no—
1148C3×C4—42no—
1149C3×C4—81no—
1150C3×C4—81no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23C3×#12114yes—
1291C23C22×C3×D411yescharacteristic
1292C23C22×C3×D411yescharacteristic
1293C23C22×C3×D411yescharacteristic
1294C23C22×C3×D411yescharacteristic
1295C23C22×C3×D411yescharacteristic
1296C23C22×C3×D411yescharacteristic
1297C23C2×C3×#4111yescharacteristic
1298C23C2×C3×#4111yescharacteristic
1299C23C2×C3×#4111yescharacteristic
1300C23C3×H(5,𝔽2)11yescharacteristic
1301C23C3×H(5,𝔽2)11yescharacteristic
1302C23C3×H(5,𝔽2)11yescharacteristic
1303C23C3×H(5,𝔽2)11yescharacteristic
1304C23C3×H(5,𝔽2)11yescharacteristic
1305C23C3×2−1+411yescharacteristic
1306D4—416no—
1307D4—416no—
1308D4—416no—
1309D4—416no—
1310D4—416no—
1311D4—416no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—416no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4C3×#12014yes—
1388C2×C4C3×#12114yescomplemented
1389C2×C4C3×#12714yes—
1390C2×C3—44no—
1391C2×C3—82no—
1392C2×C3—82no—
1393C2×C3—82no—
1394C2×C3#240711yescharacteristic
1395C2×C3#241011yescharacteristic
1396C2×C3#241611yescharacteristic
1397C2×C3#242411yescharacteristic
1398C2×C3#242411yescharacteristic
1399C2×C3#243311yescharacteristic
1400C2×C3#245611yescharacteristic
1401C2×C3#254011yescharacteristic
1402C2×C3#254111yescharacteristic
1403C2×C3#267511yescharacteristic
1404C2×C3#267611yescharacteristic
1405C2×C3#267611yescharacteristic
1406C2×C3#267811yescharacteristic
1407C2×C3#268211yescharacteristic
1408C2×C3#271411yescharacteristic
1409C22—24no—
1410C22—24no—
1411C22—24no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22C2×C3×#12011yescharacteristic
1470C22C2×C3×#12111yescharacteristic
1471C22C2×C3×#12111yescharacteristic
1472C22C3×#52511yescharacteristic
1473C22C3×#52511yescharacteristic
1474C22C2×C3×#12711yescharacteristic
1475C22C3×#53411yescharacteristic
1476C22C3×#53511yescharacteristic
1477C22C3×#53511yescharacteristic
1478C22C3×#53711yescharacteristic
1479C22C3×#53711yescharacteristic
1480C22C3×#53711yescharacteristic
1481C22C3×#53811yescharacteristic
1482C22C3×#53811yescharacteristic
1483C22C3×#53811yescharacteristic
1484C22C3×D4211yescharacteristic
1485C22C3×D4211yescharacteristic
1486C22C3×D4211yescharacteristic
1487C22C3×D4211yescharacteristic
1488C22C3×D4211yescharacteristic
1489C22C3×D4211yescharacteristic
1490C22C3×D4211yescharacteristic
1491C22C3×#54611yescharacteristic
1492C22C3×#54611yescharacteristic
1493C22C3×#54611yescharacteristic
1494C22C3×#54611yescharacteristic
1495C22C3×#54611yescharacteristic
1496C22C3×#54711yescharacteristic
1497C22C3×#54811yescharacteristic
1498C22C3×#54811yescharacteristic
1499C22C3×#55011yescharacteristic
1500C22C3×#55011yescharacteristic
1501C22C3×#55311yescharacteristic
1502C22C3×#56011yescharacteristic
1503C22C3×#56211yescharacteristic
1504C4—24no—
1505C4—24no—
1506C4—24no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—81no—
1514C4—81no—
1515C3#1531511yescharacteristic, direct product factor, Sylow
1516C2—44no—
1517C2—82no—
1518C2—82no—
1519C2—82no—
1520C2C3×#240711yescharacteristic
1521C2C3×#241011yescharacteristic
1522C2C3×#241611yescharacteristic
1523C2C3×#242411yescharacteristic
1524C2C3×#242411yescharacteristic
1525C2C3×#243311yescharacteristic
1526C2C3×#245611yescharacteristic
1527C2C3×#254011yescharacteristic
1528C2C3×#254111yescharacteristic
1529C2C3×#267511yescharacteristic
1530C2C3×#267611yescharacteristic
1531C2C3×#267611yescharacteristic
1532C2C3×#267811yescharacteristic
1533C2C3×#268211yescharacteristic
1534C2C3×#271411yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutator, Frattini, cosocleC24C24×C3
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C3×#121C2semidirect
2. C2×C3×#396C2semidirect
3. C2×C3×#394C2semidirect
4. C2×C3×#392C2semidirect
5. C2×C3×#392C2semidirect
6. C2×C3×#392C2semidirect
7. C2×C3×#390C2semidirect
8. C2×C3×#390C2semidirect
9. C2×C3×#386C2semidirect
10. C2×C3×#385C2semidirect
11. C3×#1439C2semidirect
12. C3×#1439C2semidirect
13. C3×#1438C2semidirect
14. C3×#1438C2semidirect
15. C3×#1436C2semidirect
16. #15315C3direct (N × H)
64. C22×#121C2×C3semidirect
65. C2×#396C2×C3semidirect
66. C2×#394C2×C3semidirect
67. C2×#392C2×C3semidirect
68. C2×#392C2×C3semidirect
69. C2×#392C2×C3semidirect
70. C2×#390C2×C3semidirect
71. C2×#390C2×C3semidirect
72. C2×#386C2×C3semidirect
73. C2×#385C2×C3semidirect
74. #1439C2×C3semidirect
75. #1439C2×C3semidirect
76. #1438C2×C3semidirect
77. #1438C2×C3semidirect
78. #1436C2×C3semidirect
124. C22×C3×D4D4semidirect
155. C2×C3×C4⋊C4D4semidirect
199. C2×C3×C22⋊C4D4semidirect
200. C2×C3×C22⋊C4D4semidirect
210. C3×#95D4semidirect
211. C3×#95D4semidirect
511. C22×D4C3×D4semidirect
542. C2×C4⋊C4C3×D4semidirect
586. C2×C22⋊C4C3×D4semidirect
587. C2×C22⋊C4C3×D4semidirect
597. #95C3×D4semidirect
598. #95C3×D4semidirect
836. C2×C3×C4#121semidirect
1388. C2×C4C3×#121semidirect
1515. C3#15315direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×#1212
C2×C3×#3962
C2×C3×#3942
C2×C3×#3922
C2×C3×#3902
C2×C3×#3862
C2×C3×#3852
C3×#14392
C3×#14382
C3×#14362
#153153