Finite Group Databasebeta

← #10729021

Subgroups — #10729021

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×#894C211yesmaximal, characteristic, complemented
2C22×#882C211yesmaximal, characteristic
3C22×D3×C22⋊C4C211yesmaximal, characteristic, complemented
4C2×#4955C211yesmaximal, characteristic, complemented
5C2×#4665C211yesmaximal, characteristic, complemented
6C2×#4664C211yesmaximal, characteristic, complemented
7C3×#1439C211yesmaximal, characteristic, complemented
8#71570C211yesmaximal, characteristic, complemented
9#71550C211yesmaximal, characteristic, complemented
10#71550C211yesmaximal, characteristic, complemented
11#71547C211yesmaximal, characteristic, complemented
12#69428C211yesmaximal, characteristic, complemented
13#69426C211yesmaximal, characteristic, complemented
14#69426C211yesmaximal, characteristic, complemented
15(C2×D3)⋊#95C211yesmaximal, characteristic, complemented
16#14911—31nomaximal, Sylow
17C25×D3C2211yescharacteristic
18C23×#67C2211yescharacteristic
19C23×D12C2211yescharacteristic
20C23×D12C2211yescharacteristic
21C23×C4×D3C2211yescharacteristic
22C23×C4×D3C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic, complemented
24C22×C3×C22⋊C4C2211yescharacteristic
25C22×C3×C22⋊C4C2211yescharacteristic
26C22×C3×C22⋊C4C2211yescharacteristic
27C22×#217C2211yescharacteristic
28C22×#217C2211yescharacteristic
29C22×(C2×D3)⋊C4C2211yescharacteristic
30C22×(C2×D3)⋊C4C2211yescharacteristic
31C22×(C2×D3)⋊C4C2211yescharacteristic
32C22×(C2×D3)⋊C4C2211yescharacteristic
33C22×(C2×D3)⋊C4C2211yescharacteristic
34C22×(C2×D3)⋊C4C2211yescharacteristic
35C22×(C2×D3)⋊C4C2211yescharacteristic
36C22×(C2×D3)⋊C4C2211yescharacteristic
37C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
38C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
39C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
40C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
41C22×Dic3⋊C4C2211yescharacteristic, complemented
42C2×#894—24no—
43C2×#894—24no—
44C2×#894—24no—
45C2×#882—24no—
46C2×#882—24no—
47C2×#882—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#4955—24no—
62#4665—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#1439D311yescharacteristic, complemented
74#1438—31no—
75#1438—31no—
76#1438—31no—
77#1438—31no—
78C22⋊#95—31no—
79C25×C3C2311yescharacteristic
80C24×D3—22no—
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—41no—
91C24×D3—41no—
92C24×D3—41no—
93C24×D3—41no—
94C24×D3D414yes—
95C24×D3C2311yescharacteristic
96C24×D3C2311yescharacteristic
97C24×D3C2311yescharacteristic
98C23×C3×C4C2311yescharacteristic
99C23×C3×C4C2311yescharacteristic
100C23×C3×C4C2311yescharacteristic
101C23×C3×C4C2311yescharacteristic
102C23×C3×C4C2311yescharacteristic
103C23×C3×C4C2311yescharacteristic
104C22×#67—22no—
105C22×#67—22no—
106C22×#67—22no—
107C22×#67—22no—
108C22×#67—22no—
109C22×#67—41no—
110C22×#67—41no—
111C23×Dic3C2311yescharacteristic
112C23×Dic3C2311yescharacteristic
113C23×Dic3C2311yescharacteristic
114C23×Dic3C2311yescharacteristic
115C23×Dic3C2311yescharacteristic
116C22×D12—22no—
117C22×D12—22no—
118C22×D12—22no—
119C22×D12—22no—
120C22×D12—22no—
121C22×D12—22no—
122C22×D12—22no—
123C22×D12—22no—
124C22×D12—22no—
125C22×D12—22no—
126C22×D12—22no—
127C22×D12—41no—
128C22×D12—41no—
129C22×D12D414yes—
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×C4⋊C4—22no—
145C2×C3×C4⋊C4—22no—
146C2×C3×C4⋊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—22no—
154C2×C3×C22⋊C4—22no—
155C2×C3×C22⋊C4—41no—
156C2×#217—22no—
157C2×#217—22no—
158C2×#217—22no—
159C2×#217—22no—
160C2×#217—22no—
161C2×#217—41no—
162C2×(C2×D3)⋊C4—22no—
163C2×(C2×D3)⋊C4—22no—
164C2×(C2×D3)⋊C4—22no—
165C2×(C2×D3)⋊C4—22no—
166C2×(C2×D3)⋊C4—22no—
167C2×(C2×D3)⋊C4—22no—
168C2×(C2×D3)⋊C4—22no—
169C2×(C2×D3)⋊C4—22no—
170C2×(C2×D3)⋊C4—22no—
171C2×(C2×D3)⋊C4—22no—
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—41no—
191C2×(C2×D3)⋊C4—41no—
192C2×(C2×D3)⋊C4—41no—
193C2×(C2×D3)⋊C4—41no—
194C2×(C2×D3)⋊C4—41no—
195C2×(C2×D3)⋊C4—41no—
196C2×(C2×D3)⋊C4D414yes—
197C2×(C2×D3)⋊C4D414yescomplemented
198C2×Dic3⋊C4—22no—
199C2×Dic3⋊C4—22no—
200C2×Dic3⋊C4—22no—
201#894—232no—
202#882—232no—
203D3×C22⋊C4—232no—
204C3×#95—22no—
205C3×#95—22no—
206C3×#95—41no—
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×D4—31no—
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⋊C4C2×D311yescharacteristic, complemented
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—31no—
242C22×C22⋊C4—64no—
243C22×C22⋊C4—64no—
244C22×C22⋊C4—64no—
245C22×C22⋊C4C2×D311yescharacteristic
246C22×C22⋊C4C2×D311yescharacteristic
247C22×C22⋊C4C2×D311yescharacteristic
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×#95C2×D311yescharacteristic, complemented
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×C3C2×D412yes—
274C24×C3#4112yes—
275C24×C3#4112yes—
276C24×C3C2411yescharacteristic
277C23×D3—21no—
278C23×D3—21no—
279C23×D3—21no—
280C23×D3—21no—
281C23×D3—21no—
282C23×D3—21no—
283C23×D3—21no—
284C23×D3—21no—
285C23×D3—28no—
286C23×D3—28no—
287C23×D3—28no—
288C23×D3—28no—
289C23×D3—28no—
290C23×D3—21no—
291C23×D3—21no—
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—21no—
301C23×D3—21no—
302C23×D3—28no—
303C23×D3—28no—
304C23×D3—21no—
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—21no—
318C23×D3—28no—
319C23×D3—28no—
320C23×D3—44no—
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×D3C2×D412yes—
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—
357C22×C3×C4—21no—
358C22×C3×C4—21no—
359C22×C3×C4—21no—
360C22×C3×C4—21no—
361C22×C3×C4—21no—
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—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×C4C2×D412yes—
395C22×C3×C4C2×D412yes—
396C22×C3×C4C2×D412yes—
397C22×C3×C4C2×D412yes—
398C22×C3×C4C2×D412yes—
399C2×#67—28no—
400C2×#67—44no—
401C2×#67—44no—
402C2×#67—44no—
403C2×#67—44no—
404C2×#67—44no—
405C2×#67—44no—
406C22×Dic3—21no—
407C22×Dic3—21no—
408C22×Dic3—21no—
409C22×Dic3—21no—
410C22×Dic3—21no—
411C22×Dic3—21no—
412C22×Dic3—21no—
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×Dic3C2×D412yes—
438C22×Dic3C2×D412yes—
439C22×Dic3C2×D412yes—
440C22×Dic3C2×D412yes—
441C2×D12—28no—
442C2×D12—28no—
443C2×D12—28no—
444C2×D12—28no—
445C2×D12—44no—
446C2×D12—44no—
447C2×D12—44no—
448C2×D12—44no—
449C2×D12—44no—
450C2×D12—44no—
451C2×D12—44no—
452C2×D12—44no—
453C2×D12—44no—
454C2×D12—44no—
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×C4⋊C4—28no—
470C3×C22⋊C4—28no—
471C3×C22⋊C4—28no—
472C3×C22⋊C4—44no—
473#217—28no—
474#217—44no—
475(C2×D3)⋊C4—28no—
476(C2×D3)⋊C4—28no—
477(C2×D3)⋊C4—28no—
478(C2×D3)⋊C4—28no—
479(C2×D3)⋊C4—28no—
480(C2×D3)⋊C4—28no—
481(C2×D3)⋊C4—28no—
482(C2×D3)⋊C4—44no—
483(C2×D3)⋊C4—44no—
484(C2×D3)⋊C4—44no—
485(C2×D3)⋊C4—44no—
486(C2×D3)⋊C4—44no—
487Dic3⋊C4—28no—
488C25—31no—
489C25—31no—
490C25—31no—
491C25—34no—
492C25—62no—
493C25—62no—
494C25—62no—
495C25—62no—
496C25—62no—
497C25—62no—
498C25—62no—
499C25—62no—
500C25—62no—
501C25—62no—
502C25—121no—
503C25—121no—
504C25—121no—
505C25—121no—
506C25C22×D311yescharacteristic
507C22×D4—34no—
508C22×D4—62no—
509C22×D4—62no—
510C22×D4—62no—
511C22×D4—62no—
512C22×D4—62no—
513C22×D4—62no—
514C22×D4—62no—
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—121no—
525C22×D4—121no—
526C22×D4—121no—
527C22×D4—121no—
528C23×C4—31no—
529C23×C4—31no—
530C23×C4—31no—
531C23×C4—31no—
532C23×C4—34no—
533C23×C4—34no—
534C23×C4—31no—
535C23×C4—62no—
536C23×C4—62no—
537C23×C4—62no—
538C23×C4—62no—
539C23×C4—62no—
540C23×C4—62no—
541C23×C4—62no—
542C23×C4—62no—
543C23×C4—121no—
544C23×C4—121no—
545C23×C4—121no—
546C23×C4—121no—
547C23×C4C22×D311yescharacteristic
548C23×C4C22×D311yescharacteristic
549C23×C4C22×D311yescharacteristic
550C23×C4C22×D311yescharacteristic
551C23×C4C22×D311yescharacteristic
552C23×C4C22×D311yescharacteristic
553#123—632no—
554#120—632no—
555C2×C4⋊C4—22no—
556C2×C4⋊C4—22no—
557C2×C4⋊C4—22no—
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—34no—
570C2×C22⋊C4—34no—
571C2×C22⋊C4—41no—
572C2×C22⋊C4—632no—
573C2×C22⋊C4—62no—
574C2×C22⋊C4—62no—
575C2×C22⋊C4—62no—
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—121no—
607C2×C22⋊C4—121no—
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—22no—
615#95—41no—
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—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#12314yescomplemented
658C23×C3C22×D411yescharacteristic
659C23×C3C22×D411yescharacteristic
660C23×C3C22×D411yescharacteristic
661C23×C3C22×D411yescharacteristic
662C23×C3C22×D411yescharacteristic
663C23×C3C22×D411yescharacteristic
664C23×C3C2×#4111yescharacteristic
665C23×C3C2×#4111yescharacteristic
666C23×C3C2×#4111yescharacteristic
667C23×C3C2×#4111yescharacteristic
668C23×C3C2×#4111yescharacteristic
669C23×C3H(5,𝔽2)11yescharacteristic
670C23×C3H(5,𝔽2)11yescharacteristic
671C23×C3H(5,𝔽2)11yescharacteristic
672C23×C3H(5,𝔽2)11yescharacteristic
673C22×D3—22no—
674C22×D3—22no—
675C22×D3—22no—
676C22×D3—22no—
677C22×D3—22no—
678C22×D3—22no—
679C22×D3—22no—
680C22×D3—22no—
681C22×D3—22no—
682C22×D3—22no—
683C22×D3—22no—
684C22×D3—22no—
685C22×D3—22no—
686C22×D3—22no—
687C22×D3—22no—
688C22×D3—22no—
689C22×D3—22no—
690C22×D3—22no—
691C22×D3—22no—
692C22×D3—22no—
693C22×D3—22no—
694C22×D3—22no—
695C22×D3—22no—
696C22×D3—22no—
697C22×D3—22no—
698C22×D3—22no—
699C22×D3—22no—
700C22×D3—22no—
701C22×D3—232no—
702C22×D3—22no—
703C22×D3—22no—
704C22×D3—22no—
705C22×D3—22no—
706C22×D3—22no—
707C22×D3—22no—
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—416no—
728C22×D3—416no—
729C22×D3—416no—
730C22×D3—416no—
731C22×D3—416no—
732C22×D3—416no—
733C22×D3—416no—
734C22×D3—416no—
735C22×D3—416no—
736C22×D3—416no—
737C22×D3—416no—
738C22×D3—416no—
739C22×D3—416no—
740C22×D3—41no—
741C22×D3—41no—
742C22×D3—41no—
743C22×D3—41no—
744C22×D3—41no—
745C22×D3—41no—
746C22×D3—41no—
747C22×D3—41no—
748C22×D3—41no—
749C22×D3—41no—
750C22×D3—41no—
751C22×D3—41no—
752C22×D3—41no—
753C22×D3—41no—
754C22×D3—41no—
755C22×D3—41no—
756C22×D3—416no—
757C22×D3—41no—
758C22×D3—41no—
759C22×D3—41no—
760C22×D3—41no—
761C22×D3—41no—
762C22×D3—41no—
763C22×D3—41no—
764C22×D3—41no—
765C22×D3—41no—
766C22×D3—41no—
767C22×D3—41no—
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—41no—
785C22×D3#12014yes—
786C22×D3#12014yes—
787C22×D3#12014yes—
788C22×D3#12114yes—
789C22×D3#12114yes—
790C22×D3#12114yes—
791C22×D3#12314yescomplemented
792C22×D3#12714yes—
793C2×C3×C4—22no—
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—22no—
807C2×C3×C4—22no—
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—
835#67—416no—
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—22no—
847C2×Dic3—22no—
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—
871D12—416no—
872D12—416no—
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—32no—
888C24—32no—
889C24—32no—
890C24—32no—
891C24—32no—
892C24—32no—
893C24—32no—
894C24—32no—
895C24—32no—
896C24—32no—
897C24—32no—
898C24—68no—
899C24—68no—
900C24—68no—
901C24—68no—
902C24—68no—
903C24—68no—
904C24—68no—
905C24—68no—
906C24—61no—
907C24—61no—
908C24—61no—
909C24—61no—
910C24—61no—
911C24—61no—
912C24—61no—
913C24—61no—
914C24—68no—
915C24—61no—
916C24—61no—
917C24—61no—
918C24—61no—
919C24—61no—
920C24—61no—
921C24—61no—
922C24—61no—
923C24—61no—
924C24—61no—
925C24—61no—
926C24—61no—
927C24—61no—
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—61no—
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—124no—
967C24#23512yes—
968C24D3×D412yes—
969C24#23912yes—
970C24C23×D311yescharacteristic
971C2×D4—68no—
972C2×D4—68no—
973C2×D4—68no—
974C2×D4—68no—
975C2×D4—68no—
976C2×D4—124no—
977C2×D4—124no—
978C2×D4—124no—
979C2×D4—124no—
980C2×D4—124no—
981C2×D4—124no—
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—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—32no—
1030C22×C4—32no—
1031C22×C4—32no—
1032C22×C4—32no—
1033C22×C4—68no—
1034C22×C4—68no—
1035C22×C4—68no—
1036C22×C4—68no—
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—124no—
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×C4D3×D412yes—
1079C22×C4D3×D412yes—
1080C22×C4D3×D412yes—
1081C22×C4D3×D412yes—
1082C22×C4D3×D412yes—
1083C4⋊C4—28no—
1084C4⋊C4—68no—
1085C22⋊C4—28no—
1086C22⋊C4—28no—
1087C22⋊C4—44no—
1088C22⋊C4—68no—
1089C22⋊C4—68no—
1090C22⋊C4—68no—
1091C22⋊C4—68no—
1092C22⋊C4—68no—
1093C22⋊C4—68no—
1094C22⋊C4—68no—
1095C22⋊C4—68no—
1096C22⋊C4—124no—
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×C3C2×#12011yescharacteristic
1118C22×C3C2×#12011yescharacteristic
1119C22×C3C2×#12011yescharacteristic
1120C22×C3C2×#12111yescharacteristic
1121C22×C3C2×#12111yescharacteristic
1122C22×C3C2×#12111yescharacteristic
1123C22×C3C2×#12311yescharacteristic
1124C22×C3C2×#12311yescharacteristic
1125C22×C3#52511yescharacteristic
1126C22×C3#52511yescharacteristic
1127C22×C3#52511yescharacteristic
1128C22×C3#52511yescharacteristic
1129C22×C3C2×#12711yescharacteristic
1130C22×C3#53411yescharacteristic
1131C22×C3#53411yescharacteristic
1132C22×C3#53411yescharacteristic
1133C22×C3#53411yescharacteristic
1134C22×C3#53511yescharacteristic
1135C22×C3#53511yescharacteristic
1136C22×C3#54611yescharacteristic
1137C22×C3#54611yescharacteristic
1138C22×C3#54611yescharacteristic
1139C22×C3#54611yescharacteristic
1140C22×C3#54611yescharacteristic
1141C22×C3#54611yescharacteristic
1142C22×C3#54611yescharacteristic
1143C22×C3#54611yescharacteristic
1144C22×C3#54611yescharacteristic
1145C22×C3#54611yescharacteristic
1146C22×C3#54611yescharacteristic
1147C22×C3#54611yescharacteristic
1148C22×C3#55111yescharacteristic
1149C22×C3#55111yescharacteristic
1150C22×C3#55111yescharacteristic
1151C22×C3#55111yescharacteristic
1152C2×D3—24no—
1153C2×D3—24no—
1154C2×D3—24no—
1155C2×D3—24no—
1156C2×D3—24no—
1157C2×D3—24no—
1158C2×D3—24no—
1159C2×D3—24no—
1160C2×D3—24no—
1161C2×D3—24no—
1162C2×D3—24no—
1163C2×D3—24no—
1164C2×D3—24no—
1165C2×D3—24no—
1166C2×D3—24no—
1167C2×D3—24no—
1168C2×D3—24no—
1169C2×D3—464no—
1170C2×D3—42no—
1171C2×D3—42no—
1172C2×D3—42no—
1173C2×D3—42no—
1174C2×D3—42no—
1175C2×D3—42no—
1176C2×D3—42no—
1177C2×D3—42no—
1178C2×D3—42no—
1179C2×D3—42no—
1180C2×D3—42no—
1181C2×D3—42no—
1182C2×D3—42no—
1183C2×D3—42no—
1184C2×D3—42no—
1185C2×D3—42no—
1186C2×D3—42no—
1187C2×D3—42no—
1188C2×D3—42no—
1189C2×D3—81no—
1190C2×D3—81no—
1191C2×D3—81no—
1192C2×D3—81no—
1193C2×D3—81no—
1194C2×D3—81no—
1195C2×D3—81no—
1196C2×D3—81no—
1197C2×D3#39218yes—
1198C3×C4—42no—
1199C3×C4—42no—
1200C3×C4—42no—
1201C3×C4—42no—
1202C3×C4—42no—
1203C3×C4—81no—
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—34no—
1228C23—34no—
1229C23—34no—
1230C23—34no—
1231C23—34no—
1232C23—34no—
1233C23—34no—
1234C23—34no—
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—632no—
1252C23—62no—
1253C23—62no—
1254C23—62no—
1255C23—62no—
1256C23—62no—
1257C23—62no—
1258C23—62no—
1259C23—62no—
1260C23—62no—
1261C23—62no—
1262C23—62no—
1263C23—62no—
1264C23—62no—
1265C23—62no—
1266C23—62no—
1267C23—62no—
1268C23—62no—
1269C23—62no—
1270C23—62no—
1271C23—62no—
1272C23—62no—
1273C23—62no—
1274C23—62no—
1275C23—62no—
1276C23—62no—
1277C23—62no—
1278C23—62no—
1279C23—62no—
1280C23—62no—
1281C23—62no—
1282C23—62no—
1283C23—62no—
1284C23—62no—
1285C23—62no—
1286C23—62no—
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—1216no—
1306C23—1216no—
1307C23—1216no—
1308C23—1216no—
1309C23—1216no—
1310C23—1216no—
1311C23—1216no—
1312C23—1216no—
1313C23—1216no—
1314C23—1216no—
1315C23—1216no—
1316C23—1216no—
1317C23—1216no—
1318C23—1216no—
1319C23—121no—
1320C23—121no—
1321C23—121no—
1322C23—121no—
1323C23—121no—
1324C23—121no—
1325C23—121no—
1326C23—121no—
1327C23—121no—
1328C23—121no—
1329C23—121no—
1330C23—121no—
1331C23—121no—
1332C23—121no—
1333C23—121no—
1334C23—121no—
1335C23—121no—
1336C23—121no—
1337C23—121no—
1338C23—121no—
1339C23—121no—
1340C23—121no—
1341C23—121no—
1342C23—121no—
1343C23—121no—
1344C23—121no—
1345C23—121no—
1346C23—121no—
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#89414yescomplemented
1364C23C2×#23511yescharacteristic
1365C23C2×D3×D411yescharacteristic
1366C23C2×D3×D411yescharacteristic
1367C23C2×D3×D411yescharacteristic
1368C23C2×D3×D411yescharacteristic
1369C23C2×D3×D411yescharacteristic
1370C23C2×D3×D411yescharacteristic
1371C23#100411yescharacteristic
1372C23C2×#23911yescharacteristic
1373C23D3×#4111yescharacteristic
1374C23D3×#4111yescharacteristic
1375C23D3×#4111yescharacteristic
1376C23#100911yescharacteristic
1377C23#100911yescharacteristic
1378C23#100911yescharacteristic
1379D4—1216no—
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—22no—
1395C2×C4—22no—
1396C2×C4—22no—
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—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
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—62no—
1433C2×C4—62no—
1434C2×C4—62no—
1435C2×C4—62no—
1436C2×C4—1216no—
1437C2×C4—1216no—
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×C3C2×#39211yescharacteristic
1463C2×C3#240411yescharacteristic
1464C2×C3#240411yescharacteristic
1465C2×C3#240511yescharacteristic
1466C2×C3#240511yescharacteristic
1467C2×C3#241111yescharacteristic
1468C2×C3#241111yescharacteristic
1469C2×C3#241211yescharacteristic
1470C2×C3#241211yescharacteristic
1471C2×C3#253411yescharacteristic
1472C2×C3#253411yescharacteristic
1473C2×C3#253911yescharacteristic
1474C2×C3#253911yescharacteristic
1475C2×C3#261311yescharacteristic
1476C2×C3#284911yescharacteristic
1477D3—28no—
1478D3—44no—
1479D3—82no—
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—64no—
1497C22—64no—
1498C22—64no—
1499C22—64no—
1500C22—64no—
1501C22—64no—
1502C22—64no—
1503C22—64no—
1504C22—64no—
1505C22—64no—
1506C22—64no—
1507C22—64no—
1508C22—64no—
1509C22—64no—
1510C22—64no—
1511C22—64no—
1512C22—64no—
1513C22—1264no—
1514C22—122no—
1515C22—122no—
1516C22—122no—
1517C22—122no—
1518C22—122no—
1519C22—122no—
1520C22—122no—
1521C22—122no—
1522C22—122no—
1523C22—122no—
1524C22—122no—
1525C22—122no—
1526C22—122no—
1527C22—122no—
1528C22—122no—
1529C22—122no—
1530C22—122no—
1531C22—122no—
1532C22—122no—
1533C22—241no—
1534C22—241no—
1535C22—241no—
1536C22—241no—
1537C22—241no—
1538C22—241no—
1539C22—241no—
1540C22—241no—
1541C22#549011yescharacteristic
1542C22C2×#89411yescharacteristic
1543C22#552711yescharacteristic
1544C22#554711yescharacteristic
1545C22#554711yescharacteristic
1546C22#555011yescharacteristic
1547C22#555011yescharacteristic
1548C22D3×#12011yescharacteristic
1549C22D3×#12011yescharacteristic
1550C22D3×#12011yescharacteristic
1551C22D3×#12111yescharacteristic
1552C22D3×#12111yescharacteristic
1553C22D3×#12111yescharacteristic
1554C22#560511yescharacteristic
1555C22#560511yescharacteristic
1556C22#560711yescharacteristic
1557C22#561011yescharacteristic
1558C22#561211yescharacteristic
1559C22#562711yescharacteristic
1560C22#562711yescharacteristic
1561C22#563011yescharacteristic
1562C22#563011yescharacteristic
1563C22#563011yescharacteristic
1564C22#563711yescharacteristic
1565C22D3×#12311yescharacteristic
1566C22#565311yescharacteristic
1567C22#565311yescharacteristic
1568C22#565411yescharacteristic
1569C22#565411yescharacteristic
1570C22#567411yescharacteristic
1571C22#567611yescharacteristic
1572C22#567611yescharacteristic
1573C22#570511yescharacteristic
1574C22#570511yescharacteristic
1575C22D3×#12711yescharacteristic
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—81no—
1582C4—122no—
1583C4—122no—
1584C4—122no—
1585C4—122no—
1586C4—241no—
1587C3#1491111yescharacteristic, complemented, Sylow
1588C2—44no—
1589C2—68no—
1590C2—124no—
1591C2—242no—
1592C2#7401811yescharacteristic
1593C2#7459911yescharacteristic
1594C2#7465611yescharacteristic
1595C2#7488611yescharacteristic
1596C2#7584211yescharacteristic
1597C2#7588111yescharacteristic
1598C2#7645411yescharacteristic
1599C2D3×#39211yescharacteristic
1600C2#7686311yescharacteristic
1601C2#7710611yescharacteristic
1602C2#7712211yescharacteristic
1603C2#7741411yescharacteristic
1604C2#7742111yescharacteristic
1605C2#7766811yescharacteristic
1606C2#7810711yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1439C2
prime radicalC22×#882C2
hypercenter#1439D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
1. C22×#894C2semidirect
3. C22×D3×C22⋊C4C2semidirect
4. C2×#4955C2semidirect
5. C2×#4665C2semidirect
6. C2×#4664C2semidirect
7. C3×#1439C2semidirect
8. #71570C2semidirect
9. #71550C2semidirect
10. #71550C2semidirect
11. #71547C2semidirect
12. #69428C2semidirect
13. #69426C2semidirect
14. #69426C2semidirect
15. (C2×D3)⋊#95C2semidirect
23. C22×C3×C4⋊C4C22semidirect
37. C22×(C2×D3)⋊C4C22semidirect
38. C22×(C2×D3)⋊C4C22semidirect
39. C22×(C2×D3)⋊C4C22semidirect
40. C22×(C2×D3)⋊C4C22semidirect
41. 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
73. #1439D3semidirect
142. C22×C4×D3D4semidirect
143. C22×C4×D3D4semidirect
197. C2×(C2×D3)⋊C4D4semidirect
227. C22×C4⋊C4C2×D3semidirect
258. C2×#95C2×D3semidirect
259. C2×#95C2×D3semidirect
260. C2×#95C2×D3semidirect
657. C23×C3#123semidirect
791. C22×D3#123semidirect
1363. C23#894semidirect
1587. C3#14911semidirect

Maximal subgroups

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

subgroupindex
C22×#8942
C22×#8822
C22×D3×C22⋊C42
C2×#49552
C2×#46652
C2×#46642
C3×#14392
#715702
#715502
#715472
#694282
#694262
(C2×D3)⋊#952
#149113