Finite Group Databasebeta

← #72271425

Subgroups — #72271425

Order 1536.

9516 conjugacy classes of subgroups.

The subgroup lattice has 1852 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#84107C211yesmaximal, characteristic, complemented
2C2×#71848C212yesmaximal, complemented
3C2×#71669C212yesmaximal, complemented
4#10794324C211yesmaximal, characteristic, complemented
5C2×#72130C212yesmaximal, complemented
6#10701798C212yesmaximal, complemented
7#10701710C212yesmaximal, complemented
8#10700636C212yesmaximal, complemented
9C2×C3×#3484C211yesmaximal, characteristic
10#359591—31nomaximal, Sylow
11C22×C3×H(5,𝔽2)C2211yescharacteristic
12C24×C3×D4C2211yescharacteristic
13C3×#3484—28no—
14C3×#3484—28no—
15C2×C3×#546—22no—
16C2×C3×#546—22no—
17C2×C3×D42—22no—
18C2×C3×D42—22no—
19C2×C3×#535C412yescomplemented
20C2×C3×#534C412yescomplemented
21C2×C3×#534C2211yescharacteristic
22C2×C3×#534C2211yescharacteristic
23C2×C3×#525C412yescomplemented
24C22×C3×#120C412yescomplemented
25C22×C3×#120C2211yescharacteristic
26C22×C3×#120C2211yescharacteristic
27C2×C3×#518C2211yescharacteristic
28C2×#5798C2212yescomplemented
29C2×#5247C2214yescomplemented
30#84107—28no—
31C2×#5240—22no—
32#84043C2212yescomplemented
33C22×#834—22no—
34C22×#834C2212yes—
35C22×#834C2212yes—
36C22×#834C2212yescomplemented
37C22×#834C2212yescomplemented
38C22×#834C2214yescomplemented
39#72139—22no—
40#72130—28no—
41#72130—22no—
42#71848—28no—
43#71669—28no—
44C2×#4527C2214yescomplemented
45C2×#4527C2214yescomplemented
46C2×#3484D311yescharacteristic
47C2×#2883—31no—
48C2×#1913—32no—
49C2×#1889—32no—
50#20585—31no—
51C2×#1781—32no—
52#10991—32no—
53#10972—32no—
54#10768—32no—
55C26×C3C2×C411yescharacteristic, complemented
56C26×C3C2311yescharacteristic
57C2×C3×H(5,𝔽2)—24no—
58C2×C3×H(5,𝔽2)—24no—
59C2×C3×H(5,𝔽2)—24no—
60C2×C3×H(5,𝔽2)—24no—
61C2×C3×H(5,𝔽2)—44no—
62C22×C3×#41C2×C412yes—
63C22×C3×#41D412yes—
64C22×C3×#41D412yes—
65C23×C3×D4—22no—
66C23×C3×D4—22no—
67C23×C3×D4—24no—
68C23×C3×D4—24no—
69C23×C3×D4—24no—
70C23×C3×D4—22no—
71C23×C3×D4—24no—
72C23×C3×D4—21no—
73C23×C3×D4—21no—
74C23×C3×D4—44no—
75C23×C3×D4C2×C412yes—
76C23×C3×D4C2×C411yescharacteristic, complemented
77C23×C3×D4C2×C411yescharacteristic, complemented
78C23×C3×D4D412yes—
79C23×C3×D4D412yes—
80C23×C3×D4C2311yescharacteristic
81C23×C3×D4C2311yescharacteristic
82C23×C3×D4C2311yescharacteristic
83C23×C3×D4C2311yescharacteristic
84C24×C3×C4C2×C411yescharacteristic, complemented
85C3×#546—232no—
86C3×#546—232no—
87C3×D42—232no—
88C3×D42—232no—
89C3×#535—28no—
90C3×#535—28no—
91C3×#534—24no—
92C3×#534—24no—
93C3×#534—28no—
94C3×#534—28no—
95C3×#534—24no—
96C3×#534D418yes—
97C2×C3×#127—22no—
98C2×C3×#124—22no—
99C3×#525—28no—
100C3×#525—28no—
101C2×C3×#123—22no—
102C2×C3×#123—21no—
103C2×C3×#123—21no—
104C2×C3×#123C2×C412yes—
105C2×C3×#123C2×C412yescomplemented
106C2×C3×C22⋊Q8—22no—
107C2×C3×#121—22no—
108C2×C3×#121—22no—
109C2×C3×#121—22no—
110C2×C3×#121—22no—
111C2×C3×#121—22no—
112C2×C3×#121—22no—
113C2×C3×#121—22no—
114C2×C3×#120—22no—
115C2×C3×#120—22no—
116C2×C3×#120—22no—
117C2×C3×#120—22no—
118C2×C3×#120—24no—
119C2×C3×#120—28no—
120C2×C3×#120—28no—
121C2×C3×#120—24no—
122C2×C3×#120—22no—
123C2×C3×#120—24no—
124C2×C3×#120—21no—
125C2×C3×#120—21no—
126C2×C3×#120C2×C412yes—
127C2×C3×#120C2×C412yes—
128C2×C3×#120C2×C412yes—
129C2×C3×#120C2×C412yescomplemented
130C2×C3×#120C2×C412yescomplemented
131C2×C3×#120C2×C412yescomplemented
132C2×C3×#120D418yes—
133C3×#518—24no—
134C3×#518—24no—
135C2×C3×C4×D4—22no—
136C2×C3×C4×D4—22no—
137C2×C3×C4×D4—22no—
138C2×C3×C4×D4—22no—
139C2×C3×#117C2×C412yescomplemented
140C22×C3×C22⋊C4—22no—
141C22×C3×C22⋊C4—21no—
142C22×C3×C22⋊C4—21no—
143C22×C3×C22⋊C4C2×C412yescomplemented
144C22×C3×C22⋊C4C2311yescharacteristic
145C22×C3×C22⋊C4C2311yescharacteristic
146C22×#217—22no—
147C22×#217—44no—
148C22×#217C2314yes—
149C22×#217C2314yes—
150#5798—28no—
151#5798—24no—
152#5798—24no—
153C2×D4×Dic3—44no—
154C2×#926—22no—
155#5247—28no—
156#5247—22no—
157#5247—28no—
158#5240—216no—
159#5220—44no—
160C2×#834—216no—
161C2×#834—24no—
162C2×#834—24no—
163C2×#834—24no—
164C2×#834—28no—
165C2×#834—24no—
166C2×#834—24no—
167C2×#834—28no—
168C2×#834—24no—
169C2×#834—24no—
170C2×#834—24no—
171C2×#834—24no—
172C2×#834—28no—
173C2×#834—44no—
174C2×#834D418yescomplemented
175#5211—22no—
176#4527—28no—
177#4527—28no—
178C22×H(5,𝔽2)C2×D311yescharacteristic
179C24×D4C2×D311yescharacteristic
180#3484—28no—
181#3484—28no—
182C2×#546—22no—
183C2×#546—22no—
184C2×D42—22no—
185C2×D42—22no—
186C2×#535Dic312yescomplemented
187C2×#534Dic312yescomplemented
188C2×#534C2×D311yescharacteristic
189C2×#534C2×D311yescharacteristic
190C2×#525Dic312yescomplemented
191C22×#120Dic312yescomplemented
192C22×#120C2×D311yescharacteristic
193C22×#120C2×D311yescharacteristic
194C2×#518—32no—
195C2×#518C2×D311yescharacteristic
196#2883—68no—
197C2×#410—62no—
198C22×#99—32no—
199C22×#99—32no—
200C22×#99—32no—
201C22×#99—32no—
202C22×#99—34no—
203C22×#99—62no—
204#2308—32no—
205C2×#379—34no—
206#1913—68no—
207#1889—68no—
208#1782—62no—
209#1781—68no—
210#1781—62no—
211C2×#342—34no—
212C2×#342—34no—
213C25×C3—22no—
214C25×C3—21no—
215C25×C3—21no—
216C25×C3—24no—
217C25×C3—22no—
218C25×C3—22no—
219C25×C3—22no—
220C25×C3—22no—
221C25×C3—22no—
222C25×C3—24no—
223C25×C3—42no—
224C25×C3—84no—
225C25×C3—84no—
226C25×C3C22⋊C412yescomplemented
227C25×C3C22×C411yescharacteristic
228C25×C3C22×C411yescharacteristic
229C25×C3C22×C411yescharacteristic
230C25×C3C22×C411yescharacteristic
231C25×C3C2×D411yescharacteristic
232C25×C3C2×D414yes—
233C25×C3C2×D411yescharacteristic
234C25×C3C2411yescharacteristic
235C3×H(5,𝔽2)—416no—
236C3×H(5,𝔽2)—416no—
237C3×H(5,𝔽2)—416no—
238C3×H(5,𝔽2)—416no—
239C2×C3×#41—24no—
240C2×C3×#41—24no—
241C2×C3×#41—24no—
242C2×C3×#41—28no—
243C2×C3×#41—28no—
244C2×C3×#41—24no—
245C2×C3×#41—28no—
246C2×C3×#41—28no—
247C2×C3×#41—44no—
248C2×C3×#41—44no—
249C2×C3×#41—44no—
250C22×C3×Q8C22⋊C412yescomplemented
251C22×C3×D4—22no—
252C22×C3×D4—22no—
253C22×C3×D4—22no—
254C22×C3×D4—22no—
255C22×C3×D4—24no—
256C22×C3×D4—24no—
257C22×C3×D4—216no—
258C22×C3×D4—216no—
259C22×C3×D4—22no—
260C22×C3×D4—22no—
261C22×C3×D4—22no—
262C22×C3×D4—22no—
263C22×C3×D4—22no—
264C22×C3×D4—22no—
265C22×C3×D4—28no—
266C22×C3×D4—28no—
267C22×C3×D4—22no—
268C22×C3×D4—21no—
269C22×C3×D4—21no—
270C22×C3×D4—22no—
271C22×C3×D4—22no—
272C22×C3×D4—22no—
273C22×C3×D4—22no—
274C22×C3×D4—22no—
275C22×C3×D4—22no—
276C22×C3×D4—24no—
277C22×C3×D4—24no—
278C22×C3×D4—216no—
279C22×C3×D4—28no—
280C22×C3×D4—22no—
281C22×C3×D4—22no—
282C22×C3×D4—22no—
283C22×C3×D4—22no—
284C22×C3×D4—28no—
285C22×C3×D4—24no—
286C22×C3×D4—24no—
287C22×C3×D4—24no—
288C22×C3×D4—28no—
289C22×C3×D4—28no—
290C22×C3×D4—24no—
291C22×C3×D4—24no—
292C22×C3×D4—22no—
293C22×C3×D4—22no—
294C22×C3×D4—24no—
295C22×C3×D4—42no—
296C22×C3×D4—42no—
297C22×C3×D4—44no—
298C22×C3×D4—44no—
299C22×C3×D4—44no—
300C22×C3×D4—416no—
301C22×C3×D4—416no—
302C22×C3×D4—416no—
303C22×C3×D4—416no—
304C22×C3×D4—48no—
305C22×C3×D4—48no—
306C22×C3×D4—44no—
307C22×C3×D4—48no—
308C22×C3×D4—44no—
309C22×C3×D4—84no—
310C22×C3×D4—84no—
311C22×C3×D4—88no—
312C22×C3×D4C22⋊C412yescomplemented
313C22×C3×D4C22⋊C412yescomplemented
314C22×C3×D4C22⋊C412yescomplemented
315C22×C3×D4C22×C412yes—
316C22×C3×D4C22×C412yes—
317C22×C3×D4C2×D414yes—
318C22×C3×D4C2×D414yes—
319C22×C3×D4C2×D412yes—
320C22×C3×D4C2×D412yes—
321C22×C3×D4C2×D412yes—
322C22×C3×D4C2×D412yes—
323C22×C3×D4C2×D414yes—
324C22×C3×D4C2×D414yes—
325C22×C3×D4#4114yes—
326C23×C3×C4—22no—
327C23×C3×C4—22no—
328C23×C3×C4—21no—
329C23×C3×C4—21no—
330C23×C3×C4—22no—
331C23×C3×C4—22no—
332C23×C3×C4—24no—
333C23×C3×C4—42no—
334C23×C3×C4C22⋊C412yescomplemented
335C23×C3×C4C22⋊C412yescomplemented
336C23×C3×C4C22⋊C412yescomplemented
337C23×C3×C4C22×C411yescharacteristic
338C23×C3×C4C22×C411yescharacteristic
339C23×C3×C4C2×D411yescharacteristic
340C23×C3×C4C2×D411yescharacteristic
341C23×Dic3—24no—
342C23×Dic3—24no—
343C23×Dic3—42no—
344C3×#127—216no—
345C3×#124—216no—
346C3×#123—216no—
347C3×#123—28no—
348C3×#123—24no—
349C3×#123—24no—
350C3×#123—28no—
351C3×#123—24no—
352C3×#123C22⋊C418yescomplemented
353C3×C22⋊Q8—216no—
354C3×#121—216no—
355C3×#121—216no—
356C3×#121—216no—
357C3×#121—216no—
358C3×#121—216no—
359C3×#121—216no—
360C3×#121—216no—
361C3×#120—216no—
362C3×#120—216no—
363C3×#120—216no—
364C3×#120—216no—
365C3×#120—28no—
366C3×#120—24no—
367C3×#120—24no—
368C3×#120—24no—
369C3×#120—28no—
370C3×#120—24no—
371C3×#120—24no—
372C3×#120—24no—
373C3×#120—216no—
374C3×#120—24no—
375C3×#120—24no—
376C3×#120—24no—
377C3×#120C22⋊C418yescomplemented
378C3×#120C22⋊C418yescomplemented
379C3×#120C22⋊C418yescomplemented
380C3×C4×D4—216no—
381C3×C4×D4—216no—
382C3×C4×D4—216no—
383C3×C4×D4—216no—
384C3×#117—24no—
385C3×#117—24no—
386C2×C3×C4⋊C4—22no—
387C2×C3×C4⋊C4—22no—
388C2×C3×C4⋊C4—22no—
389C2×C3×C22⋊C4—28no—
390C2×C3×C22⋊C4—216no—
391C2×C3×C22⋊C4—22no—
392C2×C3×C22⋊C4—22no—
393C2×C3×C22⋊C4—22no—
394C2×C3×C22⋊C4—21no—
395C2×C3×C22⋊C4—21no—
396C2×C3×C22⋊C4—22no—
397C2×C3×C22⋊C4—22no—
398C2×C3×C22⋊C4—22no—
399C2×C3×C22⋊C4—22no—
400C2×C3×C22⋊C4—22no—
401C2×C3×C22⋊C4—22no—
402C2×C3×C22⋊C4—22no—
403C2×C3×C22⋊C4—22no—
404C2×C3×C22⋊C4—28no—
405C2×C3×C22⋊C4—24no—
406C2×C3×C22⋊C4—24no—
407C2×C3×C22⋊C4C22×C412yes—
408C2×C3×C22⋊C4C22×C412yes—
409C2×C3×C22⋊C4C2×D414yes—
410C2×C3×C22⋊C4C2×D414yes—
411C2×C3×C42—22no—
412C2×#217—28no—
413C2×#217—24no—
414C2×#217—24no—
415C2×#217—24no—
416C2×#217—24no—
417C2×#217—24no—
418C2×#217—24no—
419C2×#217—24no—
420C2×#217—24no—
421C2×#217—24no—
422C2×#217—24no—
423C2×#217—24no—
424C2×#217—42no—
425C2×#217—44no—
426C2×#217—416no—
427C2×#217—44no—
428C2×#217—816no—
429C2×#217C2×D418yescomplemented
430D4×Dic3—416no—
431D4×Dic3—416no—
432#926—28no—
433#926—44no—
434C2×C4⋊Dic3—42no—
435C2×C4×Dic3—42no—
436#834—216no—
437#834—216no—
438#834—416no—
439#834—48no—
440#834—48no—
441C3⋊#95—44no—
442C26C2×Dic311yescharacteristic, complemented
443C26C22×D311yescharacteristic
444C2×H(5,𝔽2)—24no—
445C2×H(5,𝔽2)—24no—
446C2×H(5,𝔽2)—24no—
447C2×H(5,𝔽2)—24no—
448C2×H(5,𝔽2)—44no—
449C22×#41C2×Dic312yes—
450C22×#41#6712yes—
451C22×#41#6712yes—
452C23×D4—24no—
453C23×D4—22no—
454C23×D4—21no—
455C23×D4—21no—
456C23×D4—22no—
457C23×D4—22no—
458C23×D4—24no—
459C23×D4—24no—
460C23×D4—24no—
461C23×D4—44no—
462C23×D4C2×Dic312yes—
463C23×D4C2×Dic311yescharacteristic, complemented
464C23×D4C2×Dic311yescharacteristic, complemented
465C23×D4#6712yes—
466C23×D4#6712yes—
467C23×D4C22×D311yescharacteristic
468C23×D4C22×D311yescharacteristic
469C23×D4C22×D311yescharacteristic
470C23×D4C22×D311yescharacteristic
471C24×C4C2×Dic311yescharacteristic, complemented
472#546—232no—
473#546—232no—
474D42—232no—
475D42—232no—
476#535—28no—
477#535—28no—
478#534—24no—
479#534—24no—
480#534—28no—
481#534—28no—
482#534—24no—
483#534#6718yes—
484C2×#127—22no—
485C2×#124—22no—
486#525—28no—
487#525—28no—
488C2×#123—22no—
489C2×#123—21no—
490C2×#123—21no—
491C2×#123C2×Dic312yes—
492C2×#123C2×Dic312yescomplemented
493C2×C22⋊Q8—22no—
494C2×#121—22no—
495C2×#121—22no—
496C2×#121—22no—
497C2×#121—22no—
498C2×#121—22no—
499C2×#121—22no—
500C2×#121—22no—
501C2×#120—22no—
502C2×#120—24no—
503C2×#120—21no—
504C2×#120—21no—
505C2×#120—22no—
506C2×#120—22no—
507C2×#120—22no—
508C2×#120—22no—
509C2×#120—24no—
510C2×#120—28no—
511C2×#120—28no—
512C2×#120—24no—
513C2×#120C2×Dic312yes—
514C2×#120C2×Dic312yes—
515C2×#120C2×Dic312yes—
516C2×#120C2×Dic312yescomplemented
517C2×#120C2×Dic312yescomplemented
518C2×#120C2×Dic312yescomplemented
519C2×#120#6718yes—
520#518—24no—
521#518—24no—
522#518—68no—
523#518—64no—
524#518—64no—
525C2×C4×D4—22no—
526C2×C4×D4—22no—
527C2×C4×D4—22no—
528C2×C4×D4—22no—
529C2×C4×D4—124no—
530C2×#117—62no—
531C2×#117C2×Dic312yescomplemented
532C22×C22⋊C4—22no—
533C22×C22⋊C4—21no—
534C22×C22⋊C4—21no—
535C22×C22⋊C4—34no—
536C22×C22⋊C4—34no—
537C22×C22⋊C4—62no—
538C22×C22⋊C4—124no—
539C22×C22⋊C4C2×Dic312yescomplemented
540C22×C22⋊C4C22×D311yescharacteristic
541C22×C22⋊C4C22×D311yescharacteristic
542#410—616no—
543C2×#99—38no—
544C2×#99—68no—
545C2×#99—616no—
546C2×#99—64no—
547C2×#99—64no—
548C2×#99—64no—
549C2×#99—68no—
550C2×#99—64no—
551C2×#99—64no—
552C2×#99—64no—
553C2×#99—68no—
554C2×#99—64no—
555C2×#99—64no—
556C2×#99—64no—
557C2×#99—124no—
558#386—124no—
559#381—62no—
560#379—68no—
561#379—62no—
562#379—68no—
563#342—68no—
564#342—68no—
565C24×C3—21no—
566C24×C3—22no—
567C24×C3—21no—
568C24×C3—21no—
569C24×C3—22no—
570C24×C3—22no—
571C24×C3—21no—
572C24×C3—21no—
573C24×C3—28no—
574C24×C3—21no—
575C24×C3—21no—
576C24×C3—21no—
577C24×C3—22no—
578C24×C3—22no—
579C24×C3—24no—
580C24×C3—24no—
581C24×C3—28no—
582C24×C3—28no—
583C24×C3—21no—
584C24×C3—21no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—24no—
591C24×C3—22no—
592C24×C3—24no—
593C24×C3—44no—
594C24×C3—42no—
595C24×C3—48no—
596C24×C3—48no—
597C24×C3—44no—
598C24×C3—416no—
599C24×C3—44no—
600C24×C3—44no—
601C24×C3—48no—
602C24×C3—41no—
603C24×C3—42no—
604C24×C3—41no—
605C24×C3—42no—
606C24×C3—42no—
607C24×C3—44no—
608C24×C3—44no—
609C24×C3—44no—
610C24×C3—88no—
611C24×C3—82no—
612C24×C3—88no—
613C24×C3—82no—
614C24×C3—82no—
615C24×C3—82no—
616C24×C3—88no—
617C24×C3—82no—
618C24×C3—82no—
619C24×C3—88no—
620C24×C3—84no—
621C24×C3—88no—
622C24×C3—88no—
623C24×C3—88no—
624C24×C3—88no—
625C24×C3—82no—
626C24×C3—82no—
627C24×C3—84no—
628C24×C3—816no—
629C24×C3—88no—
630C24×C3C2×C22⋊C412yes—
631C24×C3C2×C22⋊C412yes—
632C24×C3C2×C22⋊C412yes—
633C24×C3C2×C22⋊C412yes—
634C24×C3C2×C22⋊C412yes—
635C24×C3C2×C22⋊C412yes—
636C24×C3C4×D414yes—
637C24×C3#12014yes—
638C24×C3C23×C411yescharacteristic
639C24×C3C22×D412yes—
640C24×C3C22×D411yescharacteristic
641C24×C3C22×D411yescharacteristic
642C24×C3C22×D412yes—
643C24×C3C22×D412yes—
644C24×C3C2×#4112yes—
645C24×C3H(5,𝔽2)14yes—
646C3×#41—416no—
647C3×#41—416no—
648C3×#41—416no—
649C3×#41—416no—
650C3×#41—432no—
651C2×C3×Q8—24no—
652C2×C3×Q8—24no—
653C2×C3×Q8—42no—
654C2×C3×D4—24no—
655C2×C3×D4—24no—
656C2×C3×D4—24no—
657C2×C3×D4—24no—
658C2×C3×D4—24no—
659C2×C3×D4—24no—
660C2×C3×D4—24no—
661C2×C3×D4—24no—
662C2×C3×D4—28no—
663C2×C3×D4—28no—
664C2×C3×D4—28no—
665C2×C3×D4—28no—
666C2×C3×D4—28no—
667C2×C3×D4—28no—
668C2×C3×D4—28no—
669C2×C3×D4—28no—
670C2×C3×D4—28no—
671C2×C3×D4—28no—
672C2×C3×D4—28no—
673C2×C3×D4—22no—
674C2×C3×D4—22no—
675C2×C3×D4—24no—
676C2×C3×D4—24no—
677C2×C3×D4—22no—
678C2×C3×D4—24no—
679C2×C3×D4—24no—
680C2×C3×D4—24no—
681C2×C3×D4—22no—
682C2×C3×D4—24no—
683C2×C3×D4—28no—
684C2×C3×D4—28no—
685C2×C3×D4—28no—
686C2×C3×D4—24no—
687C2×C3×D4—24no—
688C2×C3×D4—24no—
689C2×C3×D4—24no—
690C2×C3×D4—28no—
691C2×C3×D4—28no—
692C2×C3×D4—28no—
693C2×C3×D4—28no—
694C2×C3×D4—24no—
695C2×C3×D4—24no—
696C2×C3×D4—42no—
697C2×C3×D4—42no—
698C2×C3×D4—42no—
699C2×C3×D4—48no—
700C2×C3×D4—48no—
701C2×C3×D4—48no—
702C2×C3×D4—44no—
703C2×C3×D4—432no—
704C2×C3×D4—416no—
705C2×C3×D4—416no—
706C2×C3×D4—416no—
707C2×C3×D4—416no—
708C2×C3×D4—432no—
709C2×C3×D4—432no—
710C2×C3×D4—464no—
711C2×C3×D4—48no—
712C2×C3×D4—44no—
713C2×C3×D4—48no—
714C2×C3×D4—48no—
715C2×C3×D4—41no—
716C2×C3×D4—42no—
717C2×C3×D4—41no—
718C2×C3×D4—42no—
719C2×C3×D4—42no—
720C2×C3×D4—44no—
721C2×C3×D4—44no—
722C2×C3×D4—44no—
723C2×C3×D4—44no—
724C2×C3×D4—44no—
725C2×C3×D4—44no—
726C2×C3×D4—44no—
727C2×C3×D4—44no—
728C2×C3×D4—84no—
729C2×C3×D4—84no—
730C2×C3×D4—84no—
731C2×C3×D4—84no—
732C2×C3×D4—816no—
733C2×C3×D4—816no—
734C2×C3×D4—832no—
735C2×C3×D4C2×C22⋊C414yes—
736C2×C3×D4C2×C22⋊C414yes—
737C2×C3×D4#12014yes—
738C2×C3×D4#12018yes—
739C2×C3×D4#12118yes—
740C2×C3×D4#12314yes—
741C22×C3×C4—21no—
742C22×C3×C4—21no—
743C22×C3×C4—22no—
744C22×C3×C4—21no—
745C22×C3×C4—21no—
746C22×C3×C4—22no—
747C22×C3×C4—28no—
748C22×C3×C4—22no—
749C22×C3×C4—22no—
750C22×C3×C4—21no—
751C22×C3×C4—21no—
752C22×C3×C4—22no—
753C22×C3×C4—22no—
754C22×C3×C4—22no—
755C22×C3×C4—22no—
756C22×C3×C4—22no—
757C22×C3×C4—24no—
758C22×C3×C4—24no—
759C22×C3×C4—28no—
760C22×C3×C4—24no—
761C22×C3×C4—24no—
762C22×C3×C4—24no—
763C22×C3×C4—24no—
764C22×C3×C4—24no—
765C22×C3×C4—24no—
766C22×C3×C4—42no—
767C22×C3×C4—42no—
768C22×C3×C4—42no—
769C22×C3×C4—48no—
770C22×C3×C4—48no—
771C22×C3×C4—44no—
772C22×C3×C4—44no—
773C22×C3×C4—82no—
774C22×C3×C4—82no—
775C22×C3×C4—84no—
776C22×C3×C4C2×C22⋊C412yes—
777C22×C3×C4C2×C22⋊C412yes—
778C22×C3×C4C2×C22⋊C412yes—
779C22×C3×C4C2×C22⋊C412yes—
780C22×C3×C4C4×D414yes—
781C22×C3×C4#12014yes—
782C22×Dic3—28no—
783C22×Dic3—44no—
784C22×Dic3—48no—
785C22×Dic3—44no—
786C22×Dic3—44no—
787C22×Dic3—44no—
788C22×Dic3—44no—
789C22×Dic3—88no—
790C22×Dic3—88no—
791C22×Dic3—164no—
792C3×C4⋊C4—28no—
793C3×C4⋊C4—28no—
794C3×C4⋊C4—28no—
795C3×C22⋊C4—28no—
796C3×C22⋊C4—28no—
797C3×C22⋊C4—28no—
798C3×C22⋊C4—28no—
799C3×C22⋊C4—28no—
800C3×C22⋊C4—22no—
801C3×C22⋊C4—22no—
802C3×C22⋊C4—24no—
803C3×C22⋊C4—24no—
804C3×C22⋊C4—28no—
805C3×C22⋊C4—28no—
806C3×C22⋊C4—28no—
807C3×C22⋊C4—28no—
808C3×C22⋊C4C2×C22⋊C414yes—
809C3×C22⋊C4C2×C22⋊C414yes—
810C3×C42—28no—
811#217—28no—
812#217—28no—
813#217—48no—
814#217—44no—
815#217—44no—
816#217—44no—
817#217—44no—
818#217—44no—
819#217—44no—
820#217—832no—
821#217—164no—
822C4⋊Dic3—48no—
823C4×Dic3—48no—
824C25—22no—
825C25—24no—
826C25—21no—
827C25—21no—
828C25—22no—
829C25—22no—
830C25—22no—
831C25—22no—
832C25—22no—
833C25—24no—
834C25—42no—
835C25—84no—
836C25—84no—
837C25#21712yescomplemented
838C25C22×Dic311yescharacteristic
839C25C22×Dic311yescharacteristic
840C25C22×Dic311yescharacteristic
841C25C22×Dic311yescharacteristic
842C25C2×#6714yes—
843C25C2×#6711yescharacteristic
844C25C2×#6711yescharacteristic
845C25C23×D311yescharacteristic
846H(5,𝔽2)—416no—
847H(5,𝔽2)—416no—
848H(5,𝔽2)—416no—
849H(5,𝔽2)—416no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C22×Q8#21712yescomplemented
862C22×D4—22no—
863C22×D4—22no—
864C22×D4—24no—
865C22×D4—24no—
866C22×D4—22no—
867C22×D4—22no—
868C22×D4—216no—
869C22×D4—216no—
870C22×D4—28no—
871C22×D4—22no—
872C22×D4—22no—
873C22×D4—22no—
874C22×D4—22no—
875C22×D4—22no—
876C22×D4—22no—
877C22×D4—28no—
878C22×D4—22no—
879C22×D4—22no—
880C22×D4—22no—
881C22×D4—22no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—22no—
885C22×D4—22no—
886C22×D4—21no—
887C22×D4—21no—
888C22×D4—22no—
889C22×D4—216no—
890C22×D4—28no—
891C22×D4—22no—
892C22×D4—22no—
893C22×D4—22no—
894C22×D4—22no—
895C22×D4—28no—
896C22×D4—24no—
897C22×D4—24no—
898C22×D4—28no—
899C22×D4—24no—
900C22×D4—24no—
901C22×D4—28no—
902C22×D4—24no—
903C22×D4—24no—
904C22×D4—22no—
905C22×D4—22no—
906C22×D4—42no—
907C22×D4—42no—
908C22×D4—44no—
909C22×D4—44no—
910C22×D4—44no—
911C22×D4—416no—
912C22×D4—416no—
913C22×D4—416no—
914C22×D4—416no—
915C22×D4—48no—
916C22×D4—48no—
917C22×D4—44no—
918C22×D4—44no—
919C22×D4—48no—
920C22×D4—84no—
921C22×D4—84no—
922C22×D4—88no—
923C22×D4#21712yescomplemented
924C22×D4#21712yescomplemented
925C22×D4#21712yescomplemented
926C22×D4D3×D414yes—
927C22×D4#23714yes—
928C22×D4C22×Dic312yes—
929C22×D4C22×Dic312yes—
930C22×D4C2×#6712yes—
931C22×D4C2×#6714yes—
932C22×D4C2×#6712yes—
933C22×D4C2×#6712yes—
934C22×D4C2×#6712yes—
935C22×D4C2×#6714yes—
936C22×D4C2×#6714yes—
937C23×C4—22no—
938C23×C4—22no—
939C23×C4—21no—
940C23×C4—21no—
941C23×C4—22no—
942C23×C4—22no—
943C23×C4—24no—
944C23×C4—42no—
945C23×C4—64no—
946C23×C4—64no—
947C23×C4—122no—
948C23×C4#21712yescomplemented
949C23×C4#21712yescomplemented
950C23×C4#21712yescomplemented
951C23×C4C22×Dic311yescharacteristic
952C23×C4C22×Dic311yescharacteristic
953C23×C4C2×#6711yescharacteristic
954C23×C4C2×#6711yescharacteristic
955#127—216no—
956#124—216no—
957#123—216no—
958#123—28no—
959#123—24no—
960#123—24no—
961#123—28no—
962#123—24no—
963#123#21718yescomplemented
964C22⋊Q8—216no—
965#121—216no—
966#121—216no—
967#121—216no—
968#121—216no—
969#121—216no—
970#121—216no—
971#121—216no—
972#120—216no—
973#120—216no—
974#120—216no—
975#120—216no—
976#120—28no—
977#120—24no—
978#120—24no—
979#120—24no—
980#120—28no—
981#120—24no—
982#120—24no—
983#120—24no—
984#120—216no—
985#120—24no—
986#120—24no—
987#120—24no—
988#120#21718yescomplemented
989#120#21718yescomplemented
990#120#21718yescomplemented
991C4×D4—216no—
992C4×D4—216no—
993C4×D4—216no—
994C4×D4—216no—
995C4×D4—1216no—
996C4×D4—1216no—
997#117—24no—
998#117—24no—
999#117—68no—
1000#117—124no—
1001C2×C4⋊C4—22no—
1002C2×C4⋊C4—22no—
1003C2×C4⋊C4—22no—
1004C2×C4⋊C4—122no—
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—216no—
1007C2×C22⋊C4—22no—
1008C2×C22⋊C4—22no—
1009C2×C22⋊C4—22no—
1010C2×C22⋊C4—21no—
1011C2×C22⋊C4—21no—
1012C2×C22⋊C4—22no—
1013C2×C22⋊C4—22no—
1014C2×C22⋊C4—22no—
1015C2×C22⋊C4—22no—
1016C2×C22⋊C4—22no—
1017C2×C22⋊C4—22no—
1018C2×C22⋊C4—22no—
1019C2×C22⋊C4—22no—
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—24no—
1022C2×C22⋊C4—24no—
1023C2×C22⋊C4—38no—
1024C2×C22⋊C4—68no—
1025C2×C22⋊C4—64no—
1026C2×C22⋊C4—64no—
1027C2×C22⋊C4—64no—
1028C2×C22⋊C4—64no—
1029C2×C22⋊C4—64no—
1030C2×C22⋊C4—64no—
1031C2×C22⋊C4—64no—
1032C2×C22⋊C4—64no—
1033C2×C22⋊C4—64no—
1034C2×C22⋊C4—64no—
1035C2×C22⋊C4—64no—
1036C2×C22⋊C4—122no—
1037C2×C22⋊C4—124no—
1038C2×C22⋊C4—1216no—
1039C2×C22⋊C4—124no—
1040C2×C22⋊C4—2416no—
1041C2×C22⋊C4C22×Dic312yes—
1042C2×C22⋊C4C22×Dic312yes—
1043C2×C22⋊C4C2×#6714yes—
1044C2×C22⋊C4C2×#6714yes—
1045C2×C42—22no—
1046C2×C42—122no—
1047#99—616no—
1048#99—616no—
1049#99—1216no—
1050#99—128no—
1051#99—128no—
1052#95—124no—
1053C23×C3—24no—
1054C23×C3—28no—
1055C23×C3—22no—
1056C23×C3—22no—
1057C23×C3—24no—
1058C23×C3—22no—
1059C23×C3—22no—
1060C23×C3—24no—
1061C23×C3—24no—
1062C23×C3—24no—
1063C23×C3—24no—
1064C23×C3—22no—
1065C23×C3—22no—
1066C23×C3—24no—
1067C23×C3—22no—
1068C23×C3—22no—
1069C23×C3—22no—
1070C23×C3—24no—
1071C23×C3—22no—
1072C23×C3—48no—
1073C23×C3—42no—
1074C23×C3—42no—
1075C23×C3—44no—
1076C23×C3—42no—
1077C23×C3—48no—
1078C23×C3—44no—
1079C23×C3—42no—
1080C23×C3—44no—
1081C23×C3—44no—
1082C23×C3—48no—
1083C23×C3—44no—
1084C23×C3—44no—
1085C23×C3—416no—
1086C23×C3—416no—
1087C23×C3—42no—
1088C23×C3—42no—
1089C23×C3—44no—
1090C23×C3—48no—
1091C23×C3—48no—
1092C23×C3—416no—
1093C23×C3—48no—
1094C23×C3—416no—
1095C23×C3—41no—
1096C23×C3—42no—
1097C23×C3—41no—
1098C23×C3—41no—
1099C23×C3—41no—
1100C23×C3—42no—
1101C23×C3—42no—
1102C23×C3—44no—
1103C23×C3—44no—
1104C23×C3—48no—
1105C23×C3—41no—
1106C23×C3—41no—
1107C23×C3—44no—
1108C23×C3—84no—
1109C23×C3—84no—
1110C23×C3—84no—
1111C23×C3—88no—
1112C23×C3—88no—
1113C23×C3—84no—
1114C23×C3—816no—
1115C23×C3—82no—
1116C23×C3—82no—
1117C23×C3—82no—
1118C23×C3—82no—
1119C23×C3—82no—
1120C23×C3—84no—
1121C23×C3—82no—
1122C23×C3—84no—
1123C23×C3—88no—
1124C23×C3—84no—
1125C23×C3—84no—
1126C23×C3—82no—
1127C23×C3—82no—
1128C23×C3—82no—
1129C23×C3—82no—
1130C23×C3—84no—
1131C23×C3—88no—
1132C23×C3—88no—
1133C23×C3—84no—
1134C23×C3—88no—
1135C23×C3—816no—
1136C23×C3—816no—
1137C23×C3—84no—
1138C23×C3—88no—
1139C23×C3—84no—
1140C23×C3—816no—
1141C23×C3—816no—
1142C23×C3—84no—
1143C23×C3—832no—
1144C23×C3—816no—
1145C23×C3—164no—
1146C23×C3—161no—
1147C23×C3—161no—
1148C23×C3—162no—
1149C23×C3—164no—
1150C23×C3#37914yes—
1151C23×C3#38614yes—
1152C23×C3C22×C22⋊C411yescharacteristic
1153C23×C3C22×C22⋊C411yescharacteristic
1154C23×C3C22×C22⋊C411yescharacteristic
1155C23×C3C2×C4×D412yes—
1156C23×C3#51812yes—
1157C23×C3C2×#12011yescharacteristic
1158C23×C3C2×#12012yes—
1159C23×C3C2×#12012yes—
1160C23×C3C2×#12112yes—
1161C23×C3C2×#12311yescharacteristic
1162C23×C3#53412yes—
1163C23×C3#53412yes—
1164C23×C3D4214yes—
1165C23×C3D4214yes—
1166C23×C3#54614yes—
1167C23×C3#54614yes—
1168C3×Q8—48no—
1169C3×D4—28no—
1170C3×D4—28no—
1171C3×D4—28no—
1172C3×D4—28no—
1173C3×D4—216no—
1174C3×D4—216no—
1175C3×D4—48no—
1176C3×D4—48no—
1177C3×D4—416no—
1178C3×D4—48no—
1179C3×D4—416no—
1180C3×D4—416no—
1181C3×D4—416no—
1182C3×D4—44no—
1183C3×D4—44no—
1184C3×D4—44no—
1185C3×D4—44no—
1186C3×D4—44no—
1187C3×D4—44no—
1188C3×D4—48no—
1189C3×D4—88no—
1190C3×D4—88no—
1191C3×D4—88no—
1192C3×D4—88no—
1193C2×C3×C4—22no—
1194C2×C3×C4—22no—
1195C2×C3×C4—24no—
1196C2×C3×C4—24no—
1197C2×C3×C4—24no—
1198C2×C3×C4—24no—
1199C2×C3×C4—22no—
1200C2×C3×C4—22no—
1201C2×C3×C4—22no—
1202C2×C3×C4—24no—
1203C2×C3×C4—24no—
1204C2×C3×C4—24no—
1205C2×C3×C4—22no—
1206C2×C3×C4—22no—
1207C2×C3×C4—22no—
1208C2×C3×C4—48no—
1209C2×C3×C4—48no—
1210C2×C3×C4—48no—
1211C2×C3×C4—416no—
1212C2×C3×C4—44no—
1213C2×C3×C4—44no—
1214C2×C3×C4—41no—
1215C2×C3×C4—42no—
1216C2×C3×C4—44no—
1217C2×C3×C4—41no—
1218C2×C3×C4—84no—
1219C2×C3×C4—84no—
1220C2×C3×C4—88no—
1221C2×C3×C4#37914yes—
1222C2×C3×C4#38614yes—
1223C2×Dic3—48no—
1224C2×Dic3—88no—
1225C2×Dic3—88no—
1226C2×Dic3—88no—
1227C2×Dic3—88no—
1228C2×Dic3—84no—
1229C2×Dic3—164no—
1230C2×Dic3—168no—
1231C2×Dic3—164no—
1232C24—22no—
1233C24—21no—
1234C24—22no—
1235C24—22no—
1236C24—21no—
1237C24—21no—
1238C24—21no—
1239C24—21no—
1240C24—28no—
1241C24—22no—
1242C24—22no—
1243C24—21no—
1244C24—21no—
1245C24—21no—
1246C24—28no—
1247C24—28no—
1248C24—24no—
1249C24—24no—
1250C24—24no—
1251C24—22no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—21no—
1256C24—21no—
1257C24—22no—
1258C24—24no—
1259C24—22no—
1260C24—44no—
1261C24—42no—
1262C24—48no—
1263C24—48no—
1264C24—416no—
1265C24—44no—
1266C24—44no—
1267C24—44no—
1268C24—48no—
1269C24—44no—
1270C24—41no—
1271C24—41no—
1272C24—44no—
1273C24—42no—
1274C24—42no—
1275C24—42no—
1276C24—44no—
1277C24—88no—
1278C24—82no—
1279C24—88no—
1280C24—82no—
1281C24—82no—
1282C24—82no—
1283C24—82no—
1284C24—82no—
1285C24—88no—
1286C24—88no—
1287C24—84no—
1288C24—88no—
1289C24—88no—
1290C24—88no—
1291C24—88no—
1292C24—82no—
1293C24—82no—
1294C24—84no—
1295C24—816no—
1296C24—88no—
1297C24D4×Dic314yes—
1298C24C2×#21712yes—
1299C24C2×#21712yes—
1300C24C2×#21712yes—
1301C24C2×#21712yes—
1302C24C2×#21712yes—
1303C24C2×#21712yes—
1304C24#95314yes—
1305C24C2×D3×D412yes—
1306C24C2×#23712yes—
1307C24#100414yes—
1308C24C23×Dic311yescharacteristic
1309C24C22×#6711yescharacteristic
1310C24C22×#6711yescharacteristic
1311C24C22×#6712yes—
1312C24C22×#6712yes—
1313#41—416no—
1314#41—416no—
1315#41—416no—
1316#41—416no—
1317#41—432no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—42no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—28no—
1325C2×D4—28no—
1326C2×D4—28no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—28no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—28no—
1338C2×D4—28no—
1339C2×D4—28no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—28no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—28no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—28no—
1358C2×D4—28no—
1359C2×D4—28no—
1360C2×D4—28no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—48no—
1367C2×D4—48no—
1368C2×D4—48no—
1369C2×D4—44no—
1370C2×D4—432no—
1371C2×D4—416no—
1372C2×D4—416no—
1373C2×D4—416no—
1374C2×D4—416no—
1375C2×D4—432no—
1376C2×D4—464no—
1377C2×D4—432no—
1378C2×D4—48no—
1379C2×D4—44no—
1380C2×D4—48no—
1381C2×D4—48no—
1382C2×D4—44no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—84no—
1396C2×D4—84no—
1397C2×D4—84no—
1398C2×D4—84no—
1399C2×D4—816no—
1400C2×D4—816no—
1401C2×D4—832no—
1402C2×D4#93514yes—
1403C2×D4#93714yes—
1404C2×D4#93918yes—
1405C2×D4C2×#21714yes—
1406C2×D4C2×#21714yes—
1407C2×D4#95318yes—
1408C22×C4—21no—
1409C22×C4—22no—
1410C22×C4—21no—
1411C22×C4—22no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—28no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—22no—
1426C22×C4—28no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—48no—
1437C22×C4—48no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—68no—
1441C22×C4—82no—
1442C22×C4—82no—
1443C22×C4—84no—
1444C22×C4—124no—
1445C22×C4—128no—
1446C22×C4—124no—
1447C22×C4—124no—
1448C22×C4—124no—
1449C22×C4—124no—
1450C22×C4—248no—
1451C22×C4—248no—
1452C22×C4—484no—
1453C22×C4D4×Dic314yes—
1454C22×C4C2×#21712yes—
1455C22×C4C2×#21712yes—
1456C22×C4C2×#21712yes—
1457C22×C4C2×#21712yes—
1458C22×C4#95314yes—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—128no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—68no—
1477C22⋊C4—68no—
1478C22⋊C4—128no—
1479C22⋊C4—124no—
1480C22⋊C4—124no—
1481C22⋊C4—124no—
1482C22⋊C4—124no—
1483C22⋊C4—124no—
1484C22⋊C4—124no—
1485C22⋊C4—2432no—
1486C22⋊C4—484no—
1487C22⋊C4C2×#21714yes—
1488C22⋊C4C2×#21714yes—
1489C42—28no—
1490C42—128no—
1491C22×C3—24no—
1492C22×C3—24no—
1493C22×C3—22no—
1494C22×C3—24no—
1495C22×C3—24no—
1496C22×C3—28no—
1497C22×C3—24no—
1498C22×C3—24no—
1499C22×C3—44no—
1500C22×C3—44no—
1501C22×C3—44no—
1502C22×C3—42no—
1503C22×C3—42no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—42no—
1507C22×C3—44no—
1508C22×C3—41no—
1509C22×C3—42no—
1510C22×C3—41no—
1511C22×C3—44no—
1512C22×C3—44no—
1513C22×C3—44no—
1514C22×C3—42no—
1515C22×C3—44no—
1516C22×C3—44no—
1517C22×C3—48no—
1518C22×C3—44no—
1519C22×C3—42no—
1520C22×C3—42no—
1521C22×C3—44no—
1522C22×C3—48no—
1523C22×C3—44no—
1524C22×C3—44no—
1525C22×C3—44no—
1526C22×C3—42no—
1527C22×C3—44no—
1528C22×C3—42no—
1529C22×C3—42no—
1530C22×C3—42no—
1531C22×C3—84no—
1532C22×C3—82no—
1533C22×C3—84no—
1534C22×C3—84no—
1535C22×C3—84no—
1536C22×C3—88no—
1537C22×C3—816no—
1538C22×C3—88no—
1539C22×C3—82no—
1540C22×C3—84no—
1541C22×C3—82no—
1542C22×C3—82no—
1543C22×C3—84no—
1544C22×C3—84no—
1545C22×C3—832no—
1546C22×C3—82no—
1547C22×C3—82no—
1548C22×C3—164no—
1549C22×C3—168no—
1550C22×C3C2×#37911yescharacteristic
1551C22×C3C2×#38611yescharacteristic
1552C22×C3#230811yescharacteristic
1553C22×C3D4×C22⋊C412yes—
1554C22×C3D4×C22⋊C412yes—
1555C22×C3#240312yes—
1556C22×C3#240512yes—
1557C22×C3#241014yes—
1558C3×C4—24no—
1559C3×C4—24no—
1560C3×C4—44no—
1561C3×C4—44no—
1562C3×C4—42no—
1563C3×C4—42no—
1564Dic3—88no—
1565Dic3—164no—
1566C23—24no—
1567C23—28no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—24no—
1576C23—24no—
1577C23—24no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—24no—
1585C23—42no—
1586C23—42no—
1587C23—48no—
1588C23—44no—
1589C23—42no—
1590C23—48no—
1591C23—44no—
1592C23—42no—
1593C23—44no—
1594C23—44no—
1595C23—48no—
1596C23—44no—
1597C23—44no—
1598C23—416no—
1599C23—416no—
1600C23—42no—
1601C23—42no—
1602C23—44no—
1603C23—48no—
1604C23—48no—
1605C23—416no—
1606C23—48no—
1607C23—416no—
1608C23—41no—
1609C23—41no—
1610C23—42no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—42no—
1616C23—42no—
1617C23—44no—
1618C23—48no—
1619C23—44no—
1620C23—44no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—88no—
1625C23—88no—
1626C23—84no—
1627C23—816no—
1628C23—82no—
1629C23—82no—
1630C23—82no—
1631C23—82no—
1632C23—82no—
1633C23—84no—
1634C23—84no—
1635C23—82no—
1636C23—84no—
1637C23—84no—
1638C23—88no—
1639C23—84no—
1640C23—82no—
1641C23—82no—
1642C23—82no—
1643C23—82no—
1644C23—88no—
1645C23—88no—
1646C23—84no—
1647C23—88no—
1648C23—816no—
1649C23—816no—
1650C23—84no—
1651C23—84no—
1652C23—88no—
1653C23—816no—
1654C23—816no—
1655C23—84no—
1656C23—832no—
1657C23—816no—
1658C23—164no—
1659C23—161no—
1660C23—161no—
1661C23—162no—
1662C23—164no—
1663C23#522014yes—
1664C23#524714yes—
1665C23C2×D4×Dic312yes—
1666C23C2×#93511yescharacteristic
1667C23#579812yes—
1668C23C2×#93711yescharacteristic
1669C23D4×#6714yes—
1670C23D4×#6714yes—
1671C23C2×#93912yes—
1672C23#580412yes—
1673C23#580412yes—
1674C23#580614yes—
1675C23#580614yes—
1676C23C22×#21711yescharacteristic
1677C23C22×#21711yescharacteristic
1678C23C22×#21711yescharacteristic
1679C23C2×#95312yes—
1680C23C2×#95312yes—
1681Q8—48no—
1682D4—28no—
1683D4—28no—
1684D4—28no—
1685D4—216no—
1686D4—216no—
1687D4—28no—
1688D4—48no—
1689D4—48no—
1690D4—416no—
1691D4—48no—
1692D4—416no—
1693D4—416no—
1694D4—416no—
1695D4—44no—
1696D4—44no—
1697D4—44no—
1698D4—44no—
1699D4—48no—
1700D4—44no—
1701D4—44no—
1702D4—88no—
1703D4—88no—
1704D4—88no—
1705D4—88no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—416no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—42no—
1730C2×C4—44no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—88no—
1734C2×C4—128no—
1735C2×C4—248no—
1736C2×C4—248no—
1737C2×C4—248no—
1738C2×C4—248no—
1739C2×C4—244no—
1740C2×C4—484no—
1741C2×C4—488no—
1742C2×C4—484no—
1743C2×C4#522014yes—
1744C2×C4#524714yes—
1745C2×C3—22no—
1746C2×C3—24no—
1747C2×C3—21no—
1748C2×C3—22no—
1749C2×C3—21no—
1750C2×C3—22no—
1751C2×C3—22no—
1752C2×C3—44no—
1753C2×C3—44no—
1754C2×C3—44no—
1755C2×C3—82no—
1756C2×C3—82no—
1757C2×C3—82no—
1758C2×C3#1386711yescharacteristic
1759C2×C3#2177612yes—
1760C22—22no—
1761C22—24no—
1762C22—24no—
1763C22—24no—
1764C22—24no—
1765C22—28no—
1766C22—24no—
1767C22—24no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22—44no—
1772C22—44no—
1773C22—42no—
1774C22—41no—
1775C22—41no—
1776C22—44no—
1777C22—41no—
1778C22—41no—
1779C22—42no—
1780C22—44no—
1781C22—44no—
1782C22—44no—
1783C22—42no—
1784C22—44no—
1785C22—44no—
1786C22—48no—
1787C22—44no—
1788C22—42no—
1789C22—42no—
1790C22—44no—
1791C22—48no—
1792C22—44no—
1793C22—44no—
1794C22—44no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—84no—
1801C22—82no—
1802C22—84no—
1803C22—84no—
1804C22—84no—
1805C22—88no—
1806C22—816no—
1807C22—88no—
1808C22—82no—
1809C22—84no—
1810C22—82no—
1811C22—82no—
1812C22—84no—
1813C22—84no—
1814C22—832no—
1815C22—82no—
1816C22—82no—
1817C22—164no—
1818C22—168no—
1819C22C2×#522011yescharacteristic
1820C22#8404311yescharacteristic
1821C22D4×#21712yes—
1822C22D4×#21712yes—
1823C22#8404712yes—
1824C22#8404814yes—
1825C22#8405212yes—
1826C22C2×#524711yescharacteristic
1827C4—24no—
1828C4—24no—
1829C4—44no—
1830C4—44no—
1831C4—42no—
1832C4—42no—
1833C4—248no—
1834C4—484no—
1835C3#35959111yescharacteristic, complemented, Sylow
1836C2—21no—
1837C2—22no—
1838C2—24no—
1839C2—22no—
1840C2—21no—
1841C2—22no—
1842C2—22no—
1843C2—44no—
1844C2—44no—
1845C2—44no—
1846C2—82no—
1847C2—82no—
1848C2—82no—
1849C2#1071705711yescharacteristic
1850C2#1080433912yes—
subgroupG/H
centerC22#84043
commutatorC24×C3C23×C4
FrattiniC25C23×D3
Fitting, prime radicalC2×C3×#3484C2
socleC22×C3#2308
cosocleC25×C3C24
hypercenterC2×#3484D3
hypocenterC3#359591
LCSG ▷ C24×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C25 ◁ C2×#3484

Complements

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

NH ≅ G/Ntype
1. C2×#84107C2semidirect
2. C2×#71848C2semidirect
3. C2×#71669C2semidirect
4. #10794324C2semidirect
5. C2×#72130C2semidirect
6. #10701798C2semidirect
7. #10701710C2semidirect
8. #10700636C2semidirect
19. C2×C3×#535C4semidirect
20. C2×C3×#534C4semidirect
23. C2×C3×#525C4semidirect
24. C22×C3×#120C4semidirect
28. C2×#5798C22semidirect
29. C2×#5247C22semidirect
32. #84043C22semidirect
36. C22×#834C22semidirect
37. C22×#834C22semidirect
38. C22×#834C22semidirect
44. C2×#4527C22semidirect
45. C2×#4527C22semidirect
55. C26×C3C2×C4semidirect
76. C23×C3×D4C2×C4semidirect
77. C23×C3×D4C2×C4semidirect
84. C24×C3×C4C2×C4semidirect
105. C2×C3×#123C2×C4semidirect
129. C2×C3×#120C2×C4semidirect
130. C2×C3×#120C2×C4semidirect
131. C2×C3×#120C2×C4semidirect
139. C2×C3×#117C2×C4semidirect
143. C22×C3×C22⋊C4C2×C4semidirect
174. C2×#834D4semidirect
186. C2×#535Dic3semidirect
187. C2×#534Dic3semidirect
190. C2×#525Dic3semidirect
191. C22×#120Dic3semidirect
226. C25×C3C22⋊C4semidirect
250. C22×C3×Q8C22⋊C4semidirect
312. C22×C3×D4C22⋊C4semidirect
313. C22×C3×D4C22⋊C4semidirect
314. C22×C3×D4C22⋊C4semidirect
334. C23×C3×C4C22⋊C4semidirect
335. C23×C3×C4C22⋊C4semidirect
336. C23×C3×C4C22⋊C4semidirect
352. C3×#123C22⋊C4semidirect
377. C3×#120C22⋊C4semidirect
378. C3×#120C22⋊C4semidirect
379. C3×#120C22⋊C4semidirect
429. C2×#217C2×D4semidirect
442. C26C2×Dic3semidirect
463. C23×D4C2×Dic3semidirect
464. C23×D4C2×Dic3semidirect
471. C24×C4C2×Dic3semidirect
492. C2×#123C2×Dic3semidirect
516. C2×#120C2×Dic3semidirect
517. C2×#120C2×Dic3semidirect
518. C2×#120C2×Dic3semidirect
531. C2×#117C2×Dic3semidirect
539. C22×C22⋊C4C2×Dic3semidirect
837. C25#217semidirect
861. C22×Q8#217semidirect
923. C22×D4#217semidirect
924. C22×D4#217semidirect
925. C22×D4#217semidirect
948. C23×C4#217semidirect
949. C23×C4#217semidirect
950. C23×C4#217semidirect
963. #123#217semidirect
988. #120#217semidirect
989. #120#217semidirect
990. #120#217semidirect
1835. C3#359591semidirect

Maximal subgroups

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

subgroupindex
C2×#841072
C2×#718482
C2×#716692
#107943242
C2×#721302
#107017982
#107017102
#107006362
C2×C3×#34842
#3595913