Finite Group Databasebeta

← #10729016

Subgroups — #10729016

Order 768.

4146 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#937C211yesmaximal, characteristic
2C22×#883C211yesmaximal, characteristic, complemented
3C22×D3×C22⋊C4C211yesmaximal, characteristic, complemented
4C2×#4956C211yesmaximal, characteristic, complemented
5C2×#4955C211yesmaximal, characteristic, complemented
6C2×#4664C211yesmaximal, characteristic, complemented
7C3×#1438C211yesmaximal, characteristic, complemented
8#72131C211yesmaximal, characteristic, complemented
9#71550C211yesmaximal, characteristic, complemented
10#71550C211yesmaximal, characteristic, complemented
11#71547C211yesmaximal, characteristic, complemented
12#71546C211yesmaximal, characteristic, complemented
13#69428C211yesmaximal, characteristic, complemented
14#69427C211yesmaximal, characteristic, complemented
15(C2×D3)⋊#95C211yesmaximal, characteristic, complemented
16#14911—31nomaximal, Sylow
17C25×D3C2211yescharacteristic
18C23×C3×D4C2211yescharacteristic
19C23×#67C2211yescharacteristic
20C23×#67C2211yescharacteristic
21C23×C4×D3C2211yescharacteristic
22C23×C4×D3C2211yescharacteristic
23C22×C3×C22⋊C4C2211yescharacteristic
24C22×C3×C22⋊C4C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic, complemented
26C22×C3×C22⋊C4C2211yescharacteristic, complemented
27C22×#217C2211yescharacteristic
28C22×#217C2211yescharacteristic
29C22×#217C2211yescharacteristic
30C22×#217C2211yescharacteristic, complemented
31C22×#217C2211yescharacteristic, complemented
32C2×#937—24no—
33C2×#937—24no—
34C2×#937—24no—
35C22×(C2×D3)⋊C4C2211yescharacteristic
36C22×(C2×D3)⋊C4C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic
38C22×(C2×D3)⋊C4C2211yescharacteristic
39C22×(C2×D3)⋊C4C2211yescharacteristic
40C22×(C2×D3)⋊C4C2211yescharacteristic
41C22×(C2×D3)⋊C4C2211yescharacteristic
42C22×(C2×D3)⋊C4C2211yescharacteristic
43C22×C4⋊Dic3C2211yescharacteristic, complemented
44C22×Dic3⋊C4C2211yescharacteristic, complemented
45C2×#883—24no—
46C2×#883—24no—
47C2×#883—24no—
48C2×D3×C22⋊C4—24no—
49C2×D3×C22⋊C4—24no—
50C2×D3×C22⋊C4—24no—
51C2×C3×#95C2211yescharacteristic, complemented
52C2×C3×#95C2211yescharacteristic, complemented
53C2×C3⋊#95C2211yescharacteristic, complemented
54C2×C3⋊#95C2211yescharacteristic, complemented
55C2×C3⋊#95C2211yescharacteristic, complemented
56C2×C3⋊#95C2211yescharacteristic, complemented
57C2×C3⋊#95C2211yescharacteristic, complemented
58C2×C3⋊#95C2211yescharacteristic, complemented
59C2×C3⋊#95C2211yescharacteristic, complemented
60C2×C3⋊#95C2211yescharacteristic, complemented
61#4956—24no—
62#4955—24no—
63#4664—24no—
64C22×#123—31no—
65C22×#120—31no—
66C23×C22⋊C4—31no—
67C2×#386—31no—
68C2×#381—31no—
69C2×#379—31no—
70#1439—31no—
71#1439—31no—
72#1439—31no—
73#1439—31no—
74#1438—31no—
75#1438—31no—
76#1438—31no—
77#1438D311yescharacteristic, complemented
78C22⋊#95—31no—
79C25×C3C2311yescharacteristic
80C25×C3C2311yescharacteristic
81C24×D3—22no—
82C24×D3—22no—
83C24×D3—22no—
84C24×D3—22no—
85C24×D3—22no—
86C24×D3—22no—
87C24×D3—22no—
88C24×D3—22no—
89C24×D3—22no—
90C24×D3—22no—
91C24×D3—41no—
92C24×D3—41no—
93C24×D3—41no—
94C24×D3—41no—
95C24×D3D414yes—
96C24×D3C2311yescharacteristic
97C24×D3C2311yescharacteristic
98C22×C3×D4—22no—
99C22×C3×D4—22no—
100C22×C3×D4—22no—
101C22×C3×D4—22no—
102C22×C3×D4—22no—
103C22×C3×D4—41no—
104C22×C3×D4—41no—
105C23×C3×C4C2311yescharacteristic
106C23×C3×C4C2311yescharacteristic
107C23×C3×C4C2311yescharacteristic
108C23×C3×C4C2311yescharacteristic
109C23×C3×C4C2311yescharacteristic
110C22×#67—22no—
111C22×#67—22no—
112C22×#67—22no—
113C22×#67—22no—
114C22×#67—22no—
115C22×#67—22no—
116C22×#67—22no—
117C22×#67—22no—
118C22×#67—22no—
119C22×#67—22no—
120C22×#67—22no—
121C22×#67—41no—
122C22×#67—41no—
123C22×#67D414yes—
124C23×Dic3C2311yescharacteristic
125C23×Dic3C2311yescharacteristic
126C23×Dic3C2311yescharacteristic
127C23×Dic3C2311yescharacteristic
128C23×Dic3C2311yescharacteristic
129C23×Dic3C2311yescharacteristic
130C22×C4×D3—22no—
131C22×C4×D3—22no—
132C22×C4×D3—22no—
133C22×C4×D3—22no—
134C22×C4×D3—22no—
135C22×C4×D3—22no—
136C22×C4×D3—22no—
137C22×C4×D3—22no—
138C22×C4×D3—41no—
139C22×C4×D3—41no—
140C22×C4×D3—41no—
141C22×C4×D3—41no—
142C22×C4×D3D414yescomplemented
143C22×C4×D3D414yescomplemented
144C2×C3×C22⋊C4—22no—
145C2×C3×C22⋊C4—22no—
146C2×C3×C22⋊C4—22no—
147C2×C3×C22⋊C4—22no—
148C2×C3×C22⋊C4—22no—
149C2×C3×C22⋊C4—22no—
150C2×C3×C22⋊C4—22no—
151C2×C3×C22⋊C4—22no—
152C2×C3×C22⋊C4—22no—
153C2×C3×C22⋊C4—41no—
154C2×C3×C22⋊C4—41no—
155C2×C3×C22⋊C4—41no—
156C2×#217—22no—
157C2×#217—22no—
158C2×#217—22no—
159C2×#217—22no—
160C2×#217—22no—
161C2×#217—22no—
162C2×#217—22no—
163C2×#217—22no—
164C2×#217—22no—
165C2×#217—22no—
166C2×#217—22no—
167C2×#217—22no—
168C2×#217—41no—
169C2×#217—41no—
170C2×#217—41no—
171#937—232no—
172C2×(C2×D3)⋊C4—22no—
173C2×(C2×D3)⋊C4—22no—
174C2×(C2×D3)⋊C4—22no—
175C2×(C2×D3)⋊C4—22no—
176C2×(C2×D3)⋊C4—22no—
177C2×(C2×D3)⋊C4—22no—
178C2×(C2×D3)⋊C4—22no—
179C2×(C2×D3)⋊C4—22no—
180C2×(C2×D3)⋊C4—22no—
181C2×(C2×D3)⋊C4—22no—
182C2×(C2×D3)⋊C4—22no—
183C2×(C2×D3)⋊C4—22no—
184C2×(C2×D3)⋊C4—22no—
185C2×(C2×D3)⋊C4—22no—
186C2×(C2×D3)⋊C4—22no—
187C2×(C2×D3)⋊C4—22no—
188C2×(C2×D3)⋊C4—22no—
189C2×(C2×D3)⋊C4—22no—
190C2×(C2×D3)⋊C4—22no—
191C2×(C2×D3)⋊C4—22no—
192C2×(C2×D3)⋊C4—41no—
193C2×(C2×D3)⋊C4—41no—
194C2×(C2×D3)⋊C4D414yes—
195C2×(C2×D3)⋊C4D414yescomplemented
196C2×C4⋊Dic3—22no—
197C2×C4⋊Dic3—22no—
198C2×C4⋊Dic3—22no—
199C2×Dic3⋊C4—22no—
200C2×Dic3⋊C4—22no—
201C2×Dic3⋊C4—22no—
202#883—232no—
203D3×C22⋊C4—232no—
204C3×#95—22no—
205C3×#95—41no—
206C3⋊#95—22no—
207C3⋊#95—22no—
208C3⋊#95—22no—
209C3⋊#95—22no—
210C3⋊#95—22no—
211C3⋊#95—41no—
212C3⋊#95—41no—
213C3⋊#95—41no—
214C26—31no—
215C23×D4—31no—
216C23×D4—31no—
217C23×D4C2×D311yescharacteristic
218C24×C4—31no—
219C24×C4—31no—
220C2×#123—64no—
221C2×#123—64no—
222C2×#123—64no—
223C2×#120—64no—
224C2×#120—64no—
225C2×#120—64no—
226C22×C4⋊C4—31no—
227C22×C4⋊C4—31no—
228C22×C22⋊C4—31no—
229C22×C22⋊C4—31no—
230C22×C22⋊C4—31no—
231C22×C22⋊C4—31no—
232C22×C22⋊C4—31no—
233C22×C22⋊C4—31no—
234C22×C22⋊C4—31no—
235C22×C22⋊C4—31no—
236C22×C22⋊C4—31no—
237C22×C22⋊C4—31no—
238C22×C22⋊C4—31no—
239C22×C22⋊C4—31no—
240C22×C22⋊C4—31no—
241C22×C22⋊C4—64no—
242C22×C22⋊C4—64no—
243C22×C22⋊C4—64no—
244C22×C22⋊C4C2×D311yescharacteristic
245C22×C22⋊C4C2×D311yescharacteristic
246C22×C22⋊C4C2×D311yescharacteristic, complemented
247C22×C22⋊C4C2×D311yescharacteristic, complemented
248#386—64no—
249#381—64no—
250#379—64no—
251C2×#95—31no—
252C2×#95—31no—
253C2×#95—31no—
254C2×#95—31no—
255C2×#95—31no—
256C2×#95—31no—
257C2×#95—31no—
258C2×#95—31no—
259C2×#95C2×D311yescharacteristic, complemented
260C2×#95C2×D311yescharacteristic, complemented
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×C3C2×D412yes—
288C24×C3C2×D412yes—
289C24×C3#4112yes—
290C24×C3#4112yes—
291C24×C3C2411yescharacteristic
292C23×D3—21no—
293C23×D3—21no—
294C23×D3—21no—
295C23×D3—21no—
296C23×D3—21no—
297C23×D3—21no—
298C23×D3—21no—
299C23×D3—21no—
300C23×D3—28no—
301C23×D3—28no—
302C23×D3—28no—
303C23×D3—28no—
304C23×D3—28no—
305C23×D3—21no—
306C23×D3—21no—
307C23×D3—21no—
308C23×D3—21no—
309C23×D3—21no—
310C23×D3—21no—
311C23×D3—21no—
312C23×D3—21no—
313C23×D3—21no—
314C23×D3—21no—
315C23×D3—21no—
316C23×D3—21no—
317C23×D3—28no—
318C23×D3—28no—
319C23×D3—28no—
320C23×D3—28no—
321C23×D3—44no—
322C23×D3—44no—
323C23×D3—44no—
324C23×D3—44no—
325C23×D3—44no—
326C23×D3—44no—
327C23×D3—44no—
328C23×D3—44no—
329C23×D3—44no—
330C23×D3—44no—
331C23×D3—44no—
332C23×D3—44no—
333C23×D3—44no—
334C23×D3—44no—
335C23×D3—44no—
336C23×D3—44no—
337C23×D3—44no—
338C23×D3—44no—
339C23×D3—44no—
340C23×D3—44no—
341C23×D3—44no—
342C23×D3—44no—
343C23×D3—44no—
344C23×D3—44no—
345C23×D3—44no—
346C23×D3—44no—
347C23×D3C2×D412yes—
348C23×D3C2×D412yes—
349C23×D3C2×D412yes—
350C23×D3C2×D412yes—
351C23×D3C2×D412yes—
352C23×D3C2×D412yes—
353C23×D3C2×D412yes—
354C23×D3#4112yes—
355C23×D3#4112yes—
356C23×D3#4112yes—
357C2×C3×D4—28no—
358C2×C3×D4—44no—
359C2×C3×D4—44no—
360C2×C3×D4—44no—
361C2×C3×D4—44no—
362C2×C3×D4—44no—
363C2×C3×D4—44no—
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—21no—
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×C4C2×D412yes—
396C22×C3×C4C2×D412yes—
397C22×C3×C4C2×D412yes—
398C22×C3×C4C2×D412yes—
399C2×#67—28no—
400C2×#67—28no—
401C2×#67—28no—
402C2×#67—28no—
403C2×#67—44no—
404C2×#67—44no—
405C2×#67—44no—
406C2×#67—44no—
407C2×#67—44no—
408C2×#67—44no—
409C2×#67—44no—
410C2×#67—44no—
411C2×#67—44no—
412C2×#67—44no—
413C22×Dic3—21no—
414C22×Dic3—21no—
415C22×Dic3—21no—
416C22×Dic3—21no—
417C22×Dic3—21no—
418C22×Dic3—21no—
419C22×Dic3—21no—
420C22×Dic3—21no—
421C22×Dic3—21no—
422C22×Dic3—21no—
423C22×Dic3—21no—
424C22×Dic3—21no—
425C22×Dic3—21no—
426C22×Dic3—21no—
427C22×Dic3—21no—
428C22×Dic3—21no—
429C22×Dic3—21no—
430C22×Dic3—21no—
431C22×Dic3—21no—
432C22×Dic3—21no—
433C22×Dic3—21no—
434C22×Dic3—21no—
435C22×Dic3—21no—
436C22×Dic3—21no—
437C22×Dic3—21no—
438C22×Dic3—21no—
439C22×Dic3—21no—
440C22×Dic3—21no—
441C22×Dic3—21no—
442C22×Dic3—21no—
443C22×Dic3—21no—
444C22×Dic3—21no—
445C22×Dic3—21no—
446C22×Dic3—21no—
447C22×Dic3—21no—
448C22×Dic3—21no—
449C22×Dic3—21no—
450C22×Dic3C2×D412yes—
451C22×Dic3C2×D412yes—
452C22×Dic3C2×D412yes—
453C22×Dic3C2×D412yes—
454C22×Dic3C2×D412yes—
455C2×C4×D3—28no—
456C2×C4×D3—28no—
457C2×C4×D3—28no—
458C2×C4×D3—28no—
459C2×C4×D3—44no—
460C2×C4×D3—44no—
461C2×C4×D3—44no—
462C2×C4×D3—44no—
463C2×C4×D3—44no—
464C2×C4×D3—44no—
465C2×C4×D3—44no—
466C2×C4×D3—44no—
467C2×C4×D3—44no—
468C2×C4×D3—44no—
469C3×C22⋊C4—28no—
470C3×C22⋊C4—28no—
471C3×C22⋊C4—44no—
472C3×C22⋊C4—44no—
473#217—28no—
474#217—28no—
475#217—28no—
476#217—44no—
477#217—44no—
478(C2×D3)⋊C4—28no—
479(C2×D3)⋊C4—28no—
480(C2×D3)⋊C4—28no—
481(C2×D3)⋊C4—28no—
482(C2×D3)⋊C4—28no—
483(C2×D3)⋊C4—44no—
484(C2×D3)⋊C4—44no—
485(C2×D3)⋊C4—44no—
486C4⋊Dic3—28no—
487Dic3⋊C4—28no—
488C25—31no—
489C25—31no—
490C25—34no—
491C25—62no—
492C25—62no—
493C25—62no—
494C25—62no—
495C25—62no—
496C25—62no—
497C25—62no—
498C25—62no—
499C25—62no—
500C25—62no—
501C25—121no—
502C25—121no—
503C25—121no—
504C25—121no—
505C25C22×D311yescharacteristic
506C25C22×D311yescharacteristic
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—34no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—62no—
516C22×D4—62no—
517C22×D4—62no—
518C22×D4—62no—
519C22×D4—62no—
520C22×D4—62no—
521C22×D4—62no—
522C22×D4—62no—
523C22×D4—62no—
524C22×D4—62no—
525C22×D4—62no—
526C22×D4—121no—
527C22×D4—121no—
528C23×C4—31no—
529C23×C4—31no—
530C23×C4—31no—
531C23×C4—31no—
532C23×C4—31no—
533C23×C4—34no—
534C23×C4—34no—
535C23×C4—31no—
536C23×C4—62no—
537C23×C4—62no—
538C23×C4—62no—
539C23×C4—62no—
540C23×C4—62no—
541C23×C4—62no—
542C23×C4—62no—
543C23×C4—62no—
544C23×C4—121no—
545C23×C4—121no—
546C23×C4—121no—
547C23×C4—121no—
548C23×C4C22×D311yescharacteristic
549C23×C4C22×D311yescharacteristic
550C23×C4C22×D311yescharacteristic
551C23×C4C22×D311yescharacteristic
552C23×C4C22×D311yescharacteristic
553#123—632no—
554#120—632no—
555C2×C4⋊C4—62no—
556C2×C4⋊C4—62no—
557C2×C4⋊C4—62no—
558C2×C4⋊C4—62no—
559C2×C4⋊C4—62no—
560C2×C4⋊C4—62no—
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—34no—
571C2×C22⋊C4—34no—
572C2×C22⋊C4—41no—
573C2×C22⋊C4—41no—
574C2×C22⋊C4—41no—
575C2×C22⋊C4—632no—
576C2×C22⋊C4—62no—
577C2×C22⋊C4—62no—
578C2×C22⋊C4—62no—
579C2×C22⋊C4—62no—
580C2×C22⋊C4—62no—
581C2×C22⋊C4—62no—
582C2×C22⋊C4—62no—
583C2×C22⋊C4—62no—
584C2×C22⋊C4—62no—
585C2×C22⋊C4—62no—
586C2×C22⋊C4—62no—
587C2×C22⋊C4—62no—
588C2×C22⋊C4—62no—
589C2×C22⋊C4—62no—
590C2×C22⋊C4—62no—
591C2×C22⋊C4—62no—
592C2×C22⋊C4—62no—
593C2×C22⋊C4—62no—
594C2×C22⋊C4—62no—
595C2×C22⋊C4—62no—
596C2×C22⋊C4—62no—
597C2×C22⋊C4—62no—
598C2×C22⋊C4—62no—
599C2×C22⋊C4—62no—
600C2×C22⋊C4—62no—
601C2×C22⋊C4—62no—
602C2×C22⋊C4—62no—
603C2×C22⋊C4—62no—
604C2×C22⋊C4—62no—
605C2×C22⋊C4—62no—
606C2×C22⋊C4—62no—
607C2×C22⋊C4—62no—
608C2×C22⋊C4—121no—
609C2×C22⋊C4—121no—
610C2×C22⋊C4—121no—
611C2×C22⋊C4—121no—
612C2×C22⋊C4—121no—
613#95—22no—
614#95—41no—
615#95—62no—
616#95—62no—
617#95—62no—
618#95—62no—
619#95—62no—
620#95—121no—
621#95—121no—
622#95—121no—
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—22no—
639C23×C3—22no—
640C23×C3—22no—
641C23×C3—22no—
642C23×C3—22no—
643C23×C3—22no—
644C23×C3—22no—
645C23×C3—22no—
646C23×C3—22no—
647C23×C3—22no—
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#12314yescomplemented
693C23×C3C22×D411yescharacteristic
694C23×C3C22×D411yescharacteristic
695C23×C3C22×D411yescharacteristic
696C23×C3C22×D411yescharacteristic
697C23×C3C22×D411yescharacteristic
698C23×C3C22×D411yescharacteristic
699C23×C3C2×#4111yescharacteristic
700C23×C3C2×#4111yescharacteristic
701C23×C3C2×#4111yescharacteristic
702C23×C3C2×#4111yescharacteristic
703C23×C3C2×#4111yescharacteristic
704C23×C3H(5,𝔽2)11yescharacteristic
705C23×C3H(5,𝔽2)11yescharacteristic
706C23×C3H(5,𝔽2)11yescharacteristic
707C23×C3H(5,𝔽2)11yescharacteristic
708C22×D3—22no—
709C22×D3—22no—
710C22×D3—22no—
711C22×D3—22no—
712C22×D3—22no—
713C22×D3—22no—
714C22×D3—22no—
715C22×D3—22no—
716C22×D3—22no—
717C22×D3—22no—
718C22×D3—22no—
719C22×D3—22no—
720C22×D3—22no—
721C22×D3—22no—
722C22×D3—22no—
723C22×D3—22no—
724C22×D3—22no—
725C22×D3—22no—
726C22×D3—22no—
727C22×D3—22no—
728C22×D3—22no—
729C22×D3—22no—
730C22×D3—22no—
731C22×D3—22no—
732C22×D3—22no—
733C22×D3—22no—
734C22×D3—22no—
735C22×D3—22no—
736C22×D3—232no—
737C22×D3—22no—
738C22×D3—22no—
739C22×D3—22no—
740C22×D3—22no—
741C22×D3—22no—
742C22×D3—22no—
743C22×D3—22no—
744C22×D3—22no—
745C22×D3—22no—
746C22×D3—22no—
747C22×D3—22no—
748C22×D3—22no—
749C22×D3—22no—
750C22×D3—22no—
751C22×D3—22no—
752C22×D3—22no—
753C22×D3—22no—
754C22×D3—22no—
755C22×D3—416no—
756C22×D3—416no—
757C22×D3—416no—
758C22×D3—416no—
759C22×D3—416no—
760C22×D3—416no—
761C22×D3—416no—
762C22×D3—416no—
763C22×D3—416no—
764C22×D3—416no—
765C22×D3—416no—
766C22×D3—416no—
767C22×D3—416no—
768C22×D3—41no—
769C22×D3—41no—
770C22×D3—41no—
771C22×D3—41no—
772C22×D3—41no—
773C22×D3—41no—
774C22×D3—41no—
775C22×D3—41no—
776C22×D3—41no—
777C22×D3—41no—
778C22×D3—41no—
779C22×D3—41no—
780C22×D3—41no—
781C22×D3—41no—
782C22×D3—41no—
783C22×D3—41no—
784C22×D3—416no—
785C22×D3#12014yes—
786C22×D3#12014yes—
787C22×D3#12014yes—
788C22×D3#12114yes—
789C22×D3#12114yes—
790C22×D3#12114yes—
791C22×D3#12314yescomplemented
792C22×D3#12714yes—
793C3×D4—416no—
794C2×C3×C4—22no—
795C2×C3×C4—22no—
796C2×C3×C4—22no—
797C2×C3×C4—22no—
798C2×C3×C4—22no—
799C2×C3×C4—22no—
800C2×C3×C4—22no—
801C2×C3×C4—22no—
802C2×C3×C4—22no—
803C2×C3×C4—22no—
804C2×C3×C4—22no—
805C2×C3×C4—22no—
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—
829#67—416no—
830#67—416no—
831C2×Dic3—22no—
832C2×Dic3—22no—
833C2×Dic3—22no—
834C2×Dic3—22no—
835C2×Dic3—22no—
836C2×Dic3—22no—
837C2×Dic3—22no—
838C2×Dic3—22no—
839C2×Dic3—22no—
840C2×Dic3—22no—
841C2×Dic3—22no—
842C2×Dic3—22no—
843C2×Dic3—22no—
844C2×Dic3—22no—
845C2×Dic3—22no—
846C2×Dic3—41no—
847C2×Dic3—41no—
848C2×Dic3—41no—
849C2×Dic3—41no—
850C2×Dic3—41no—
851C2×Dic3—41no—
852C2×Dic3—41no—
853C2×Dic3—41no—
854C2×Dic3—41no—
855C2×Dic3—41no—
856C2×Dic3—41no—
857C2×Dic3—41no—
858C2×Dic3—41no—
859C2×Dic3—41no—
860C2×Dic3—41no—
861C2×Dic3—41no—
862C2×Dic3—41no—
863C2×Dic3—41no—
864C2×Dic3—41no—
865C2×Dic3—41no—
866C2×Dic3—41no—
867C2×Dic3—41no—
868C2×Dic3—41no—
869C2×Dic3—41no—
870C2×Dic3—41no—
871C2×Dic3—41no—
872C2×Dic3—41no—
873C4×D3—416no—
874C4×D3—416no—
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—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—32no—
902C24—32no—
903C24—32no—
904C24—32no—
905C24—32no—
906C24—32no—
907C24—32no—
908C24—32no—
909C24—32no—
910C24—32no—
911C24—68no—
912C24—68no—
913C24—68no—
914C24—68no—
915C24—68no—
916C24—68no—
917C24—68no—
918C24—68no—
919C24—61no—
920C24—61no—
921C24—61no—
922C24—61no—
923C24—61no—
924C24—61no—
925C24—61no—
926C24—61no—
927C24—68no—
928C24—61no—
929C24—61no—
930C24—61no—
931C24—61no—
932C24—61no—
933C24—61no—
934C24—61no—
935C24—61no—
936C24—61no—
937C24—61no—
938C24—61no—
939C24—61no—
940C24—124no—
941C24—124no—
942C24—124no—
943C24—124no—
944C24—124no—
945C24—124no—
946C24—124no—
947C24—124no—
948C24—124no—
949C24—124no—
950C24—124no—
951C24—124no—
952C24—124no—
953C24—124no—
954C24—124no—
955C24—124no—
956C24—124no—
957C24—124no—
958C24—124no—
959C24—124no—
960C24—124no—
961C24—124no—
962C24—124no—
963C24—124no—
964C24—124no—
965C24—124no—
966C24#23512yes—
967C24D3×D412yes—
968C24D3×D412yes—
969C24#23712yes—
970C24C23×D311yescharacteristic
971C2×D4—28no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—68no—
979C2×D4—68no—
980C2×D4—68no—
981C2×D4—68no—
982C2×D4—124no—
983C2×D4—124no—
984C2×D4—124no—
985C2×D4—124no—
986C2×D4—124no—
987C2×D4—124no—
988C2×D4—124no—
989C2×D4—124no—
990C2×D4—124no—
991C2×D4—124no—
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—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—32no—
1024C22×C4—32no—
1025C22×C4—32no—
1026C22×C4—32no—
1027C22×C4—32no—
1028C22×C4—68no—
1029C22×C4—68no—
1030C22×C4—68no—
1031C22×C4—68no—
1032C22×C4—61no—
1033C22×C4—61no—
1034C22×C4—61no—
1035C22×C4—61no—
1036C22×C4—61no—
1037C22×C4—61no—
1038C22×C4—61no—
1039C22×C4—61no—
1040C22×C4—61no—
1041C22×C4—61no—
1042C22×C4—61no—
1043C22×C4—61no—
1044C22×C4—61no—
1045C22×C4—61no—
1046C22×C4—61no—
1047C22×C4—61no—
1048C22×C4—61no—
1049C22×C4—61no—
1050C22×C4—61no—
1051C22×C4—61no—
1052C22×C4—61no—
1053C22×C4—61no—
1054C22×C4—61no—
1055C22×C4—61no—
1056C22×C4—61no—
1057C22×C4—61no—
1058C22×C4—61no—
1059C22×C4—61no—
1060C22×C4—61no—
1061C22×C4—61no—
1062C22×C4—61no—
1063C22×C4—61no—
1064C22×C4—61no—
1065C22×C4—61no—
1066C22×C4—61no—
1067C22×C4—61no—
1068C22×C4—61no—
1069C22×C4—124no—
1070C22×C4—124no—
1071C22×C4—124no—
1072C22×C4—124no—
1073C22×C4—124no—
1074C22×C4—124no—
1075C22×C4—124no—
1076C22×C4—124no—
1077C22×C4—124no—
1078C22×C4—124no—
1079C22×C4D3×D412yes—
1080C22×C4D3×D412yes—
1081C22×C4D3×D412yes—
1082C22×C4D3×D412yes—
1083C4⋊C4—68no—
1084C4⋊C4—68no—
1085C22⋊C4—28no—
1086C22⋊C4—28no—
1087C22⋊C4—44no—
1088C22⋊C4—44no—
1089C22⋊C4—68no—
1090C22⋊C4—68no—
1091C22⋊C4—68no—
1092C22⋊C4—68no—
1093C22⋊C4—68no—
1094C22⋊C4—68no—
1095C22⋊C4—68no—
1096C22⋊C4—68no—
1097C22⋊C4—124no—
1098C22⋊C4—124no—
1099C22⋊C4—124no—
1100C22⋊C4—124no—
1101C22⋊C4—124no—
1102C22×C3—24no—
1103C22×C3—24no—
1104C22×C3—24no—
1105C22×C3—42no—
1106C22×C3—42no—
1107C22×C3—42no—
1108C22×C3—42no—
1109C22×C3—42no—
1110C22×C3—42no—
1111C22×C3—42no—
1112C22×C3—42no—
1113C22×C3—42no—
1114C22×C3—42no—
1115C22×C3—42no—
1116C22×C3—42no—
1117C22×C3—42no—
1118C22×C3—42no—
1119C22×C3—42no—
1120C22×C3—42no—
1121C22×C3—42no—
1122C22×C3—42no—
1123C22×C3—42no—
1124C22×C3—81no—
1125C22×C3—81no—
1126C22×C3—81no—
1127C22×C3—81no—
1128C22×C3—81no—
1129C22×C3—81no—
1130C22×C3—81no—
1131C22×C3—81no—
1132C22×C3C2×#12011yescharacteristic
1133C22×C3C2×#12011yescharacteristic
1134C22×C3C2×#12011yescharacteristic
1135C22×C3C2×#12111yescharacteristic
1136C22×C3C2×#12111yescharacteristic
1137C22×C3C2×#12111yescharacteristic
1138C22×C3C2×#12311yescharacteristic
1139C22×C3C2×#12311yescharacteristic
1140C22×C3#52511yescharacteristic
1141C22×C3#52511yescharacteristic
1142C22×C3#52511yescharacteristic
1143C22×C3#52511yescharacteristic
1144C22×C3C2×#12711yescharacteristic
1145C22×C3#53411yescharacteristic
1146C22×C3#53411yescharacteristic
1147C22×C3#53411yescharacteristic
1148C22×C3#53411yescharacteristic
1149C22×C3#53511yescharacteristic
1150C22×C3#53511yescharacteristic
1151C22×C3#54611yescharacteristic
1152C22×C3#54611yescharacteristic
1153C22×C3#54611yescharacteristic
1154C22×C3#54611yescharacteristic
1155C22×C3#54611yescharacteristic
1156C22×C3#54611yescharacteristic
1157C22×C3#54611yescharacteristic
1158C22×C3#54611yescharacteristic
1159C22×C3#54611yescharacteristic
1160C22×C3#54611yescharacteristic
1161C22×C3#54611yescharacteristic
1162C22×C3#54611yescharacteristic
1163C22×C3#55111yescharacteristic
1164C22×C3#55111yescharacteristic
1165C22×C3#55111yescharacteristic
1166C22×C3#55111yescharacteristic
1167C2×D3—24no—
1168C2×D3—24no—
1169C2×D3—24no—
1170C2×D3—24no—
1171C2×D3—24no—
1172C2×D3—24no—
1173C2×D3—24no—
1174C2×D3—24no—
1175C2×D3—24no—
1176C2×D3—24no—
1177C2×D3—24no—
1178C2×D3—24no—
1179C2×D3—24no—
1180C2×D3—24no—
1181C2×D3—24no—
1182C2×D3—24no—
1183C2×D3—24no—
1184C2×D3—464no—
1185C2×D3—42no—
1186C2×D3—42no—
1187C2×D3—42no—
1188C2×D3—42no—
1189C2×D3—42no—
1190C2×D3—42no—
1191C2×D3—42no—
1192C2×D3—42no—
1193C2×D3—42no—
1194C2×D3—42no—
1195C2×D3—42no—
1196C2×D3—42no—
1197C2×D3#39218yes—
1198C3×C4—42no—
1199C3×C4—42no—
1200C3×C4—42no—
1201C3×C4—42no—
1202C3×C4—81no—
1203Dic3—42no—
1204Dic3—42no—
1205Dic3—42no—
1206Dic3—42no—
1207Dic3—42no—
1208Dic3—81no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—34no—
1235C23—34no—
1236C23—34no—
1237C23—34no—
1238C23—34no—
1239C23—34no—
1240C23—34no—
1241C23—34no—
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—632no—
1287C23—62no—
1288C23—62no—
1289C23—62no—
1290C23—62no—
1291C23—62no—
1292C23—62no—
1293C23—62no—
1294C23—62no—
1295C23—62no—
1296C23—62no—
1297C23—62no—
1298C23—62no—
1299C23—62no—
1300C23—62no—
1301C23—62no—
1302C23—62no—
1303C23—62no—
1304C23—62no—
1305C23—62no—
1306C23—62no—
1307C23—62no—
1308C23—62no—
1309C23—62no—
1310C23—62no—
1311C23—62no—
1312C23—62no—
1313C23—62no—
1314C23—62no—
1315C23—62no—
1316C23—62no—
1317C23—62no—
1318C23—62no—
1319C23—62no—
1320C23—62no—
1321C23—62no—
1322C23—62no—
1323C23—62no—
1324C23—62no—
1325C23—62no—
1326C23—62no—
1327C23—62no—
1328C23—62no—
1329C23—62no—
1330C23—62no—
1331C23—62no—
1332C23—62no—
1333C23—1216no—
1334C23—1216no—
1335C23—1216no—
1336C23—1216no—
1337C23—1216no—
1338C23—1216no—
1339C23—1216no—
1340C23—1216no—
1341C23—1216no—
1342C23—1216no—
1343C23—1216no—
1344C23—1216no—
1345C23—1216no—
1346C23—1216no—
1347C23—121no—
1348C23—121no—
1349C23—121no—
1350C23—121no—
1351C23—121no—
1352C23—121no—
1353C23—121no—
1354C23—121no—
1355C23—121no—
1356C23—121no—
1357C23—121no—
1358C23—121no—
1359C23—121no—
1360C23—121no—
1361C23—121no—
1362C23—121no—
1363C23#88314yescomplemented
1364C23C2×#23511yescharacteristic
1365C23C2×D3×D411yescharacteristic
1366C23C2×D3×D411yescharacteristic
1367C23C2×D3×D411yescharacteristic
1368C23C2×D3×D411yescharacteristic
1369C23C2×D3×D411yescharacteristic
1370C23C2×D3×D411yescharacteristic
1371C23C2×#23711yescharacteristic
1372C23#100411yescharacteristic
1373C23#100411yescharacteristic
1374C23#100411yescharacteristic
1375C23D3×#4111yescharacteristic
1376C23D3×#4111yescharacteristic
1377C23D3×#4111yescharacteristic
1378C23#100911yescharacteristic
1379D4—416no—
1380D4—1216no—
1381D4—1216no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—62no—
1418C2×C4—62no—
1419C2×C4—62no—
1420C2×C4—62no—
1421C2×C4—62no—
1422C2×C4—62no—
1423C2×C4—62no—
1424C2×C4—62no—
1425C2×C4—62no—
1426C2×C4—62no—
1427C2×C4—62no—
1428C2×C4—62no—
1429C2×C4—62no—
1430C2×C4—62no—
1431C2×C4—62no—
1432C2×C4—1216no—
1433C2×C4—1216no—
1434C2×C4—121no—
1435C2×C4—121no—
1436C2×C4—121no—
1437C2×C4—121no—
1438C2×C4—121no—
1439C2×C4—121no—
1440C2×C4—121no—
1441C2×C4—121no—
1442C2×C4—121no—
1443C2×C4—121no—
1444C2×C4—121no—
1445C2×C4—121no—
1446C2×C4—121no—
1447C2×C4—121no—
1448C2×C4—121no—
1449C2×C4—121no—
1450C2×C4—121no—
1451C2×C4—121no—
1452C2×C4—121no—
1453C2×C4—121no—
1454C2×C4—121no—
1455C2×C4—121no—
1456C2×C4—121no—
1457C2×C4—121no—
1458C2×C4—121no—
1459C2×C4—121no—
1460C2×C4—121no—
1461C2×C3—44no—
1462C2×C3—82no—
1463C2×C3C2×#39211yescharacteristic
1464C2×C3#240411yescharacteristic
1465C2×C3#240411yescharacteristic
1466C2×C3#240511yescharacteristic
1467C2×C3#240511yescharacteristic
1468C2×C3#241111yescharacteristic
1469C2×C3#241111yescharacteristic
1470C2×C3#241211yescharacteristic
1471C2×C3#241211yescharacteristic
1472C2×C3#253411yescharacteristic
1473C2×C3#253411yescharacteristic
1474C2×C3#253911yescharacteristic
1475C2×C3#253911yescharacteristic
1476C2×C3#261311yescharacteristic
1477C2×C3#284911yescharacteristic
1478D3—28no—
1479D3—44no—
1480C22—24no—
1481C22—24no—
1482C22—24no—
1483C22—38no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—64no—
1504C22—64no—
1505C22—64no—
1506C22—64no—
1507C22—64no—
1508C22—64no—
1509C22—64no—
1510C22—64no—
1511C22—64no—
1512C22—64no—
1513C22—64no—
1514C22—64no—
1515C22—64no—
1516C22—64no—
1517C22—64no—
1518C22—64no—
1519C22—64no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—1264no—
1529C22—122no—
1530C22—122no—
1531C22—122no—
1532C22—122no—
1533C22—122no—
1534C22—122no—
1535C22—122no—
1536C22—122no—
1537C22—122no—
1538C22—122no—
1539C22—122no—
1540C22—122no—
1541C22C2×#88311yescharacteristic
1542C22#549011yescharacteristic
1543C22#549011yescharacteristic
1544C22#554711yescharacteristic
1545C22#554711yescharacteristic
1546C22#555011yescharacteristic
1547C22#555611yescharacteristic
1548C22D3×#12011yescharacteristic
1549C22D3×#12011yescharacteristic
1550C22D3×#12011yescharacteristic
1551C22#558911yescharacteristic
1552C22#558911yescharacteristic
1553C22#559111yescharacteristic
1554C22#559111yescharacteristic
1555C22#559111yescharacteristic
1556C22D3×#12111yescharacteristic
1557C22D3×#12111yescharacteristic
1558C22D3×#12111yescharacteristic
1559C22#560511yescharacteristic
1560C22#560511yescharacteristic
1561C22#560611yescharacteristic
1562C22#560611yescharacteristic
1563C22#560711yescharacteristic
1564C22#561011yescharacteristic
1565C22#561011yescharacteristic
1566C22#561211yescharacteristic
1567C22#561211yescharacteristic
1568C22D3×#12311yescharacteristic
1569C22#565411yescharacteristic
1570C22#565811yescharacteristic
1571C22#565911yescharacteristic
1572C22#567611yescharacteristic
1573C22#567911yescharacteristic
1574C22D3×#12711yescharacteristic
1575C22#571511yescharacteristic
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—81no—
1581C4—122no—
1582C4—122no—
1583C4—122no—
1584C4—122no—
1585C4—122no—
1586C4—241no—
1587C3#1491111yescharacteristic, complemented, Sylow
1588C2—44no—
1589C2—68no—
1590C2—82no—
1591C2—124no—
1592C2#7385311yescharacteristic
1593C2#7488611yescharacteristic
1594C2#7489011yescharacteristic
1595C2#7490111yescharacteristic
1596C2#7493611yescharacteristic
1597C2#7643711yescharacteristic
1598C2#7645411yescharacteristic
1599C2D3×#39211yescharacteristic
1600C2#7675411yescharacteristic
1601C2#7675811yescharacteristic
1602C2#7676011yescharacteristic
1603C2#7710611yescharacteristic
1604C2#7710911yescharacteristic
1605C2#7711011yescharacteristic
1606C2#7711911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1438C2
prime radicalC22×#937C2
hypercenter#1438D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1438

Complements

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

NH ≅ G/Ntype
2. C22×#883C2semidirect
3. C22×D3×C22⋊C4C2semidirect
4. C2×#4956C2semidirect
5. C2×#4955C2semidirect
6. C2×#4664C2semidirect
7. C3×#1438C2semidirect
8. #72131C2semidirect
9. #71550C2semidirect
10. #71550C2semidirect
11. #71547C2semidirect
12. #71546C2semidirect
13. #69428C2semidirect
14. #69427C2semidirect
15. (C2×D3)⋊#95C2semidirect
25. C22×C3×C22⋊C4C22semidirect
26. C22×C3×C22⋊C4C22semidirect
30. C22×#217C22semidirect
31. C22×#217C22semidirect
43. C22×C4⋊Dic3C22semidirect
44. C22×Dic3⋊C4C22semidirect
51. C2×C3×#95C22semidirect
52. C2×C3×#95C22semidirect
53. C2×C3⋊#95C22semidirect
54. C2×C3⋊#95C22semidirect
55. C2×C3⋊#95C22semidirect
56. C2×C3⋊#95C22semidirect
57. C2×C3⋊#95C22semidirect
58. C2×C3⋊#95C22semidirect
59. C2×C3⋊#95C22semidirect
60. C2×C3⋊#95C22semidirect
77. #1438D3semidirect
142. C22×C4×D3D4semidirect
143. C22×C4×D3D4semidirect
195. C2×(C2×D3)⋊C4D4semidirect
246. C22×C22⋊C4C2×D3semidirect
247. C22×C22⋊C4C2×D3semidirect
259. C2×#95C2×D3semidirect
260. C2×#95C2×D3semidirect
692. C23×C3#123semidirect
791. C22×D3#123semidirect
1363. C23#883semidirect
1587. C3#14911semidirect

Maximal subgroups

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

subgroupindex
C22×#9372
C22×#8832
C22×D3×C22⋊C42
C2×#49562
C2×#49552
C2×#46642
C3×#14382
#721312
#715502
#715472
#715462
#694282
#694272
(C2×D3)⋊#952
#149113