Finite Group Databasebeta

← C2×#13128806 #16771028

Subgroups — C2×#13128806 #16771028

Order 3328.

7142 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128806C2132yesmaximal, direct product factor
2C2×#11719390C211yesmaximal, characteristic, complemented
3C2×#11719341C211yesmaximal, characteristic, complemented
4C2×#11719341C211yesmaximal, characteristic, complemented
5C2×#11719366C211yesmaximal, characteristic, complemented
6C2×#11719306C211yesmaximal, characteristic, complemented
7C2×#11719347C211yesmaximal, characteristic, complemented
8C2×#11719355C211yesmaximal, characteristic, complemented
9C2×#11719355C211yesmaximal, characteristic, complemented
10C2×#11719355C211yesmaximal, characteristic, complemented
11C2×#11719413C211yesmaximal, characteristic, complemented
12C2×#11719413C211yesmaximal, characteristic, complemented
13C2×#11719344C211yesmaximal, characteristic, complemented
14C2×#11719398C211yesmaximal, characteristic, complemented
15C2×#11719316C211yesmaximal, characteristic, complemented
16C2×#11719360C211yesmaximal, characteristic, complemented
17C2×#11719360C211yesmaximal, characteristic, complemented
18C2×#11719401C211yesmaximal, characteristic, complemented
19C2×#11719406C211yesmaximal, characteristic, complemented
20C2×#11719343C211yesmaximal, characteristic, complemented
21C2×#11719365C211yesmaximal, characteristic, complemented
22C2×#11719269C211yesmaximal, characteristic, complemented
23C2×#11719327C211yesmaximal, characteristic, complemented
24C2×#11719411C211yesmaximal, characteristic, complemented
25C2×#11719243C211yesmaximal, characteristic, complemented
26C2×#11719354C211yesmaximal, characteristic, complemented
27C22×#88143C211yesmaximal, characteristic, complemented
28C2×D13×#125C211yesmaximal, characteristic, complemented
29C2×#11719209C211yesmaximal, characteristic, complemented
30C2×#11719251C211yesmaximal, characteristic, complemented
31C2×C4×#6129C211yesmaximal, characteristic, complemented
32C2×C13×#539C211yesmaximal, characteristic, complemented
33C22×#6129C2211yescharacteristic
34C22×#6129C2211yescharacteristic
35C22×#6127C2211yescharacteristic
36C13×#539C22116yescomplemented
37C2×C13×#126C2211yescharacteristic
38C2×C13×#126C2211yescharacteristic
39C2×C13×#125C2211yescharacteristic
40C2×C13×#125C2211yescharacteristic
41C2×C13×#123C2211yescharacteristic
42C2×C13×#123C2211yescharacteristic
43C2×C13×#123C2211yescharacteristic
44C2×C13×#123C2211yescharacteristic
45C2×C13×C22⋊Q8C2211yescharacteristic
46C2×C13×C22⋊Q8C2211yescharacteristic
47C2×C13×C22⋊Q8C2211yescharacteristic
48C2×C13×#121C2211yescharacteristic
49C2×C4×D4×C13C2211yescharacteristic
50C2×C4×D4×C13C2211yescharacteristic
51C22×C13×C4⋊C4C2211yescharacteristic
52C2×#88200C2211yescharacteristic
53C2×#88200C2211yescharacteristic
54C2×Q8×Dic13C2211yescharacteristic
55C2×#88198C2211yescharacteristic
56C2×#88193C2211yescharacteristic
57C2×#88193C2211yescharacteristic
58C2×#88193C2211yescharacteristic
59C2×#88192C2211yescharacteristic
60C2×#88189C2211yescharacteristic
61C2×#88189C2211yescharacteristic
62C2×#88189C2211yescharacteristic
63C2×D4×Dic13C2211yescharacteristic
64C2×D4×Dic13C2211yescharacteristic
65C2×D4×Dic13C2211yescharacteristic
66C2×#88183C2211yescharacteristic
67C2×C4×C22⋊D13C2211yescharacteristic
68C2×C4×C22⋊D13C2211yescharacteristic
69C2×C4×C22⋊D13C2211yescharacteristic
70C2×C4×C22⋊D13C2211yescharacteristic
71C2×C4×C22⋊D13C2211yescharacteristic
72C2×C4×C22⋊D13C2211yescharacteristic
73C2×C4×C22⋊D13C2211yescharacteristic
74C2×#88180C2211yescharacteristic
75C2×#88180C2211yescharacteristic
76C22×C4⋊Dic13C2211yescharacteristic
77C2×#88178C2211yescharacteristic
78C22×#6101C2211yescharacteristic
79C22×#6101C2211yescharacteristic
80C22×#6101C2211yescharacteristic
81C22×#6101C2211yescharacteristic
82C22×#6101C2211yescharacteristic
83C22×C4×Dic13C2211yescharacteristic
84C22×C4×Dic13C2211yescharacteristic
85#11719413C22116yescomplemented
86#11719413C22116yescomplemented
87#11719411C22116yescomplemented
88#11719406C22116yescomplemented
89#11719401C22116yescomplemented
90#11719398C22116yescomplemented
91D13×#125C22116yescomplemented
92#11719390C22116yescomplemented
93#11719366C22116yescomplemented
94#11719365C22116yescomplemented
95#11719360C22116yescomplemented
96#11719360C22116yescomplemented
97#11719355C22116yescomplemented
98#11719355C22116yescomplemented
99#11719355C22116yescomplemented
100#11719354C22116yescomplemented
101#11719347C22116yescomplemented
102#11719344C22116yescomplemented
103#11719343C22116yescomplemented
104#11719341C22116yescomplemented
105#11719341C22116yescomplemented
106#11719327C22116yescomplemented
107#11719316C22116yescomplemented
108#11719306C22116yescomplemented
109#11719269C22116yescomplemented
110#11719251C22116yescomplemented
111#11719243C22116yescomplemented
112C4×#6129C22116yescomplemented
113C2×#88152C2211yescharacteristic
114C2×#88152C2211yescharacteristic
115C2×#88152C2211yescharacteristic
116C2×#88152C2211yescharacteristic
117C2×#88150C2211yescharacteristic
118C2×#88150C2211yescharacteristic
119C2×#88150C2211yescharacteristic
120C2×#88150C2211yescharacteristic
121C2×#88150C2211yescharacteristic
122C2×#88148C2211yescharacteristic
123C2×#88148C2211yescharacteristic
124#11719209C22116yescomplemented
125C2×#88147C2211yescharacteristic
126C2×#88147C2211yescharacteristic
127C2×#88146C2211yescharacteristic
128C2×#88146C2211yescharacteristic
129C2×#88146C2211yescharacteristic
130C2×#88146C2211yescharacteristic
131C2×C4⋊C4×D13C2211yescharacteristic
132C2×C4⋊C4×D13C2211yescharacteristic
133C2×C4⋊C4×D13C2211yescharacteristic
134C2×C4⋊C4×D13C2211yescharacteristic
135C2×C4⋊C4×D13C2211yescharacteristic
136C2×C4⋊C4×D13C2211yescharacteristic
137C2×C4⋊C4×D13C2211yescharacteristic
138C2×#88144C2211yescharacteristic
139C2×#88144C2211yescharacteristic
140C2×#88144C2211yescharacteristic
141C2×#88144C2211yescharacteristic
142C2×#88144C2211yescharacteristic
143C2×#88143C2211yescharacteristic
144C2×#88143C2211yescharacteristic
145C2×#88143C2211yescharacteristic
146C2×#88143C2211yescharacteristic
147C2×#88143C2211yescharacteristic
148C2×#88143C2211yescharacteristic
149C2×#88143C2211yescharacteristic
150C2×#88143C2211yescharacteristic
151C2×#88143C2211yescharacteristic
152C2×#88143C2211yescharacteristic
153C2×#88143C2211yescharacteristic
154C2×#88143C2211yescharacteristic
155C2×#88143C2211yescharacteristic
156C2×#88143C2211yescharacteristic
157C2×#88143C2211yescharacteristic
158C2×#88143C2211yescharacteristic
159C2×#88143C2211yescharacteristic
160C2×#88143C22116yescomplemented
161C2×#88142C2211yescharacteristic
162C2×#88142C2211yescharacteristic
163C2×#88142C2211yescharacteristic
164C2×#88141C2211yescharacteristic
165C2×#88141C2211yescharacteristic
166C2×#88141C2211yescharacteristic
167C2×#88141C2211yescharacteristic
168C2×#88141C2211yescharacteristic
169C2×#88141C2211yescharacteristic
170C2×#88141C2211yescharacteristic
171C2×#88140C2211yescharacteristic
172C2×#88140C2211yescharacteristic
173C2×#88139C2211yescharacteristic
174C2×#88138C2211yescharacteristic
175C2×#88138C2211yescharacteristic
176C2×#88137C2211yescharacteristic
177C2×#88137C2211yescharacteristic
178C2×#88137C2211yescharacteristic
179C2×#88137C2211yescharacteristic
180C2×#88137C2211yescharacteristic
181C2×#88137C2211yescharacteristic
182C2×#88135C2211yescharacteristic
183C2×#88135C2211yescharacteristic
184C2×#88135C2211yescharacteristic
185C2×#88135C2211yescharacteristic
186C2×#88135C2211yescharacteristic
187C2×#88135C2211yescharacteristic
188C2×#88135C2211yescharacteristic
189C2×#88133C2211yescharacteristic
190C2×#88133C2211yescharacteristic
191C2×#88133C2211yescharacteristic
192C2×#88133C2211yescharacteristic
193C2×#88133C2211yescharacteristic
194C2×#88133C2211yescharacteristic
195C2×#88133C2211yescharacteristic
196C2×#88132C2211yescharacteristic
197C2×#88132C2211yescharacteristic
198C2×#88132C2211yescharacteristic
199C2×#88132C2211yescharacteristic
200C2×#88132C2211yescharacteristic
201C2×#88132C2211yescharacteristic
202C2×#88132C2211yescharacteristic
203C2×#88132C2211yescharacteristic
204C2×#88131C2211yescharacteristic
205C2×#88131C2211yescharacteristic
206C2×#88131C2211yescharacteristic
207C2×#88131C2211yescharacteristic
208C2×#88131C2211yescharacteristic
209C2×#88131C2211yescharacteristic
210C2×#88131C2211yescharacteristic
211C2×#88130C2211yescharacteristic
212C2×#88126C2211yescharacteristic
213C2×#88126C2211yescharacteristic
214C2×C42×D13C2211yescharacteristic
215C2×#88124C2211yescharacteristic
216C2×C4×Dic26C2211yescharacteristic
217C2×C4×Dic26C2211yescharacteristic
218C2×C4×Dic26C2211yescharacteristic
219C22×Q8×C13C2311yescharacteristic
220C22×D4×C13C2311yescharacteristic
221C22×D4×C13C2311yescharacteristic
222C22×D4×C13C2311yescharacteristic
223C23×C4×C13C2311yescharacteristic
224C23×C4×C13C2311yescharacteristic
225C23×C4×C13C2311yescharacteristic
226C23×C4×C13C2311yescharacteristic
227C23×C4×C13C2311yescharacteristic
228C22×C22⋊D13C2311yescharacteristic
229C22×C22⋊D13C2311yescharacteristic
230C22×C22⋊D13C2311yescharacteristic
231C22×C22⋊D13C2311yescharacteristic
232C22×C22⋊D13C2311yescharacteristic
233C22×C22⋊D13C2311yescharacteristic
234C23×Dic13C2311yescharacteristic
235C23×Dic13C2311yescharacteristic
236C23×Dic13C2311yescharacteristic
237C23×Dic13C2311yescharacteristic
238C23×Dic13C2311yescharacteristic
239C23×Dic13C2311yescharacteristic
240C23×Dic13C2311yescharacteristic
241C23×Dic13C2311yescharacteristic
242C2×#6129—28no—
243C2×#6129—28no—
244C2×#6129C2318yes—
245C2×#6129C2318yes—
246C2×#6127—28no—
247C2×#6127C2318yes—
248C22×D52C2311yescharacteristic
249C22×C4×D13C2311yescharacteristic
250C22×C4×D13C2311yescharacteristic
251C22×C4×D13C2311yescharacteristic
252C22×C4×D13C2311yescharacteristic
253C22×C4×D13C2311yescharacteristic
254C22×C4×D13C2311yescharacteristic
255C22×C4×D13C2311yescharacteristic
256C22×C4×D13C2311yescharacteristic
257C22×C4×D13C2311yescharacteristic
258C22×C4×D13C2311yescharacteristic
259C22×Dic26C2311yescharacteristic
260C22×Dic26C2311yescharacteristic
261C22×Dic26C2311yescharacteristic
262C22×Dic26C2311yescharacteristic
263C22×Dic26C2311yescharacteristic
264C13×#126C2318yes—
265C13×#126C2318yes—
266C13×#125C2318yes—
267C13×#125C2318yes—
268C13×#123C2318yes—
269C13×#123C2318yes—
270C13×#123C2318yes—
271C13×#123C2318yes—
272C13×C22⋊Q8C2318yes—
273C13×C22⋊Q8C2318yes—
274C13×C22⋊Q8C2318yes—
275C13×#121C2318yes—
276C4×D4×C13C2318yes—
277C4×D4×C13C2318yes—
278C2×C13×C4⋊C4C2311yescharacteristic
279C2×C13×C4⋊C4C2311yescharacteristic
280C2×C13×C4⋊C4C2311yescharacteristic
281C2×C13×C4⋊C4C2311yescharacteristic
282C2×C13×C4⋊C4C2311yescharacteristic
283C2×C13×C4⋊C4C2311yescharacteristic
284C2×C13×C4⋊C4C2311yescharacteristic
285C2×C13×C4⋊C4C2311yescharacteristic
286C2×C13×C4⋊C4C2311yescharacteristic
287C2×C13×C4⋊C4C2311yescharacteristic
288C2×C13×C4⋊C4C2311yescharacteristic
289C2×C13×C4⋊C4C2311yescharacteristic
290C2×C13×C4⋊C4C2311yescharacteristic
291C2×C13×C4⋊C4C2311yescharacteristic
292C2×C13×C4⋊C4C2318yes—
293C2×C13×C22⋊C4C2311yescharacteristic
294C2×C13×C22⋊C4C2311yescharacteristic
295C2×C13×C22⋊C4C2311yescharacteristic
296C2×C13×C22⋊C4C2311yescharacteristic
297C2×C13×C22⋊C4C2311yescharacteristic
298C2×C13×C22⋊C4C2311yescharacteristic
299C2×C13×C22⋊C4C2311yescharacteristic
300C2×C13×C22⋊C4C2311yescharacteristic
301C2×C13×C22⋊C4C2311yescharacteristic
302C2×C13×C22⋊C4C2311yescharacteristic
303C2×C42×C13C2311yescharacteristic
304C2×C42×C13C2311yescharacteristic
305C2×C22⋊Dic13C2311yescharacteristic
306C2×C22⋊Dic13C2311yescharacteristic
307C2×C22⋊Dic13C2311yescharacteristic
308C2×C22⋊Dic13C2311yescharacteristic
309C2×C22⋊Dic13C2311yescharacteristic
310C2×C22⋊Dic13C2311yescharacteristic
311C2×C22⋊Dic13C2311yescharacteristic
312C2×C22⋊Dic13C2311yescharacteristic
313C2×C22⋊Dic13C2311yescharacteristic
314C2×C22⋊Dic13C2311yescharacteristic
315#88200C2318yes—
316#88200C2318yes—
317Q8×Dic13C2318yes—
318#88198C2318yes—
319#88193C2318yes—
320#88193C2318yes—
321#88193C2318yes—
322#88192C2318yes—
323#88189C2318yes—
324#88189C2318yes—
325#88189C2318yes—
326D4×Dic13C2318yes—
327D4×Dic13C2318yes—
328D4×Dic13C2318yes—
329#88183C2318yes—
330C4×C22⋊D13C2318yes—
331C4×C22⋊D13C2318yes—
332C4×C22⋊D13C2318yes—
333C4×C22⋊D13C2318yes—
334C4×C22⋊D13C2318yes—
335C4×C22⋊D13C2318yes—
336C4×C22⋊D13C2318yes—
337C2×#6103C2311yescharacteristic
338C2×#6103C2311yescharacteristic
339C2×#6103C2311yescharacteristic
340C2×#6103C2311yescharacteristic
341C2×#6103C2311yescharacteristic
342C2×#6103C2311yescharacteristic
343C2×#6103C2311yescharacteristic
344C2×#6103C2311yescharacteristic
345C2×#6103C2311yescharacteristic
346C2×#6103C2311yescharacteristic
347C2×#6103C2311yescharacteristic
348C2×#6103C2311yescharacteristic
349#88180C2318yes—
350#88180C2318yes—
351C2×C4⋊Dic13C2311yescharacteristic
352C2×C4⋊Dic13C2311yescharacteristic
353C2×C4⋊Dic13C2311yescharacteristic
354C2×C4⋊Dic13C2311yescharacteristic
355C2×C4⋊Dic13C2311yescharacteristic
356C2×C4⋊Dic13C2311yescharacteristic
357C2×C4⋊Dic13C2311yescharacteristic
358C2×C4⋊Dic13C2311yescharacteristic
359C2×C4⋊Dic13C2311yescharacteristic
360C2×C4⋊Dic13C2311yescharacteristic
361C2×C4⋊Dic13C2311yescharacteristic
362C2×C4⋊Dic13C2311yescharacteristic
363C2×C4⋊Dic13C2311yescharacteristic
364C2×C4⋊Dic13C2311yescharacteristic
365C2×C4⋊Dic13C2318yes—
366#88178C2318yes—
367C2×#6101C2311yescharacteristic
368C2×#6101C2311yescharacteristic
369C2×#6101C2311yescharacteristic
370C2×#6101C2311yescharacteristic
371C2×#6101C2311yescharacteristic
372C2×#6101C2311yescharacteristic
373C2×#6101C2311yescharacteristic
374C2×#6101C2311yescharacteristic
375C2×#6101C2311yescharacteristic
376C2×#6101C2311yescharacteristic
377C2×#6101C2311yescharacteristic
378C2×#6101C2311yescharacteristic
379C2×#6101C2311yescharacteristic
380C2×#6101C2311yescharacteristic
381C2×#6101C2311yescharacteristic
382C2×#6101C2311yescharacteristic
383C2×#6101C2311yescharacteristic
384C2×#6101C2311yescharacteristic
385C2×#6101C2311yescharacteristic
386C2×#6101C2311yescharacteristic
387C2×#6101C2311yescharacteristic
388C2×#6101C2311yescharacteristic
389C2×#6101C2311yescharacteristic
390C2×#6101C2311yescharacteristic
391C2×#6101C2311yescharacteristic
392C2×#6101C2311yescharacteristic
393C2×#6101C2311yescharacteristic
394C2×#6101C2311yescharacteristic
395C2×#6101C2311yescharacteristic
396C2×#6101C2311yescharacteristic
397C2×#6101C2311yescharacteristic
398C2×#6101C2311yescharacteristic
399C2×#6101C2311yescharacteristic
400C2×#6101C2311yescharacteristic
401C2×#6101C2311yescharacteristic
402C2×#6101C2311yescharacteristic
403C2×#6101C2318yes—
404C2×#6101C2318yes—
405C2×#6101C2318yes—
406C2×#6101C2318yes—
407C2×#6101C2318yes—
408C2×C4×Dic13C2311yescharacteristic
409C2×C4×Dic13C2311yescharacteristic
410C2×C4×Dic13C2311yescharacteristic
411C2×C4×Dic13C2311yescharacteristic
412C2×C4×Dic13C2311yescharacteristic
413C2×C4×Dic13C2311yescharacteristic
414C2×C4×Dic13C2311yescharacteristic
415C2×C4×Dic13C2311yescharacteristic
416C2×C4×Dic13C2311yescharacteristic
417C2×C4×Dic13C2311yescharacteristic
418C2×C4×Dic13C2311yescharacteristic
419C2×C4×Dic13C2311yescharacteristic
420C2×C4×Dic13C2311yescharacteristic
421C2×C4×Dic13C2311yescharacteristic
422C2×C4×Dic13C2311yescharacteristic
423C2×C4×Dic13C2311yescharacteristic
424C2×C4×Dic13C2311yescharacteristic
425C2×C4×Dic13C2311yescharacteristic
426C2×C4×Dic13C2318yes—
427C2×C4×Dic13C2318yes—
428#88152C2318yes—
429#88152C2318yes—
430#88152C2318yes—
431#88152C2318yes—
432#88150C2318yes—
433#88150C2318yes—
434#88150C2318yes—
435#88150C2318yes—
436#88150C2318yes—
437#88148C2318yes—
438#88148C2318yes—
439#88147C2318yes—
440#88147C2318yes—
441#88146C2318yes—
442#88146C2318yes—
443#88146C2318yes—
444#88146C2318yes—
445C4⋊C4×D13C2318yes—
446C4⋊C4×D13C2318yes—
447C4⋊C4×D13C2318yes—
448C4⋊C4×D13C2318yes—
449C4⋊C4×D13C2318yes—
450C4⋊C4×D13C2318yes—
451C4⋊C4×D13C2318yes—
452#88144C2318yes—
453#88144C2318yes—
454#88144C2318yes—
455#88144C2318yes—
456#88144C2318yes—
457#88143C2318yes—
458#88143C2318yes—
459#88143C2318yes—
460#88143C2318yes—
461#88143C2318yes—
462#88143C2318yes—
463#88143C2318yes—
464#88143C2318yes—
465#88143C2318yes—
466#88143C2318yes—
467#88143C2318yes—
468#88143C2318yes—
469#88143C2318yes—
470#88143C2318yes—
471#88143C2318yes—
472#88143C2318yes—
473#88143C2318yes—
474#88142C2318yes—
475#88142C2318yes—
476#88142C2318yes—
477#88141C2318yes—
478#88141C2318yes—
479#88141C2318yes—
480#88141C2318yes—
481#88141C2318yes—
482#88141C2318yes—
483#88141C2318yes—
484#88140C2318yes—
485#88140C2318yes—
486#88139C2318yes—
487#88138C2318yes—
488#88138C2318yes—
489#88137C2318yes—
490#88137C2318yes—
491#88137C2318yes—
492#88137C2318yes—
493#88137C2318yes—
494#88137C2318yes—
495#88135C2318yes—
496#88135C2318yes—
497#88135C2318yes—
498#88135C2318yes—
499#88135C2318yes—
500#88135C2318yes—
501#88135C2318yes—
502#88133C2318yes—
503#88133C2318yes—
504#88133C2318yes—
505#88133C2318yes—
506#88133C2318yes—
507#88133C2318yes—
508#88133C2318yes—
509#88132C2318yes—
510#88132C2318yes—
511#88132C2318yes—
512#88132C2318yes—
513#88132C2318yes—
514#88132C2318yes—
515#88132C2318yes—
516#88132C2318yes—
517#88131C2318yes—
518#88131C2318yes—
519#88131C2318yes—
520#88131C2318yes—
521#88131C2318yes—
522#88131C2318yes—
523#88131C2318yes—
524#88130C2318yes—
525#88126C2318yes—
526#88126C2318yes—
527C42×D13C2318yes—
528#88124C2318yes—
529C4×Dic26C2318yes—
530C4×Dic26C2318yes—
531C4×Dic26C2318yes—
532C2×#3515—131nomaximal, Sylow
533C24×C13C2411yescharacteristic
534C24×C13C2411yescharacteristic
535C24×C13C2411yescharacteristic
536C23×D13C2411yescharacteristic
537C23×D13C2411yescharacteristic
538C2×Q8×C13—42no—
539C2×Q8×C13C2414yes—
540C2×D4×C13—24no—
541C2×D4×C13—24no—
542C2×D4×C13—42no—
543C2×D4×C13C2414yes—
544C2×D4×C13C2414yes—
545C2×D4×C13C2414yes—
546C22×C4×C13—24no—
547C22×C4×C13—42no—
548C22×C4×C13—42no—
549C22×C4×C13—42no—
550C22×C4×C13—42no—
551C22×C4×C13C2411yescharacteristic
552C22×C4×C13C2411yescharacteristic
553C22×C4×C13C2411yescharacteristic
554C22×C4×C13C2411yescharacteristic
555C22×C4×C13C2411yescharacteristic
556C22×C4×C13C2411yescharacteristic
557C22×C4×C13C2411yescharacteristic
558C22×C4×C13C2411yescharacteristic
559C22×C4×C13C2411yescharacteristic
560C22×C4×C13C2411yescharacteristic
561C22×C4×C13C2411yescharacteristic
562C22×C4×C13C2411yescharacteristic
563C22×C4×C13C2414yes—
564C22×C4×C13C2414yes—
565C22×C4×C13C2414yes—
566C22×C4×C13C2414yes—
567C22×C4×C13C2414yes—
568C2×C22⋊D13—24no—
569C2×C22⋊D13—24no—
570C2×C22⋊D13—24no—
571C2×C22⋊D13—24no—
572C2×C22⋊D13—42no—
573C2×C22⋊D13#4118yes—
574C2×C22⋊D13C2414yes—
575C2×C22⋊D13C2414yes—
576C2×C22⋊D13C2414yes—
577C2×C22⋊D13C2414yes—
578C2×C22⋊D13C2414yes—
579C2×C22⋊D13C2414yes—
580C22×Dic13—24no—
581C22×Dic13—24no—
582C22×Dic13—24no—
583C22×Dic13—24no—
584C22×Dic13—24no—
585C22×Dic13—24no—
586C22×Dic13—42no—
587C22×Dic13—42no—
588C22×Dic13C2414yes—
589C22×Dic13C2414yes—
590C22×Dic13C2414yes—
591C22×Dic13C2414yes—
592C22×Dic13C2414yes—
593C22×Dic13C2414yes—
594C22×Dic13C2411yescharacteristic
595C22×Dic13C2411yescharacteristic
596C22×Dic13C2411yescharacteristic
597C22×Dic13C2411yescharacteristic
598C22×Dic13C2411yescharacteristic
599C22×Dic13C2411yescharacteristic
600C22×Dic13C2411yescharacteristic
601C22×Dic13C2411yescharacteristic
602C22×Dic13C2411yescharacteristic
603C22×Dic13C2411yescharacteristic
604C22×Dic13C2411yescharacteristic
605C22×Dic13C2411yescharacteristic
606C22×Dic13C2414yes—
607C22×Dic13C2414yes—
608C22×Dic13C2411yescharacteristic
609C22×Dic13C2411yescharacteristic
610#6129—232no—
611#6129—232no—
612#6127—232no—
613C2×D52—24no—
614C2×D52C2414yes—
615C2×C4×D13—24no—
616C2×C4×D13—24no—
617C2×C4×D13—24no—
618C2×C4×D13—24no—
619C2×C4×D13—24no—
620C2×C4×D13—42no—
621C2×C4×D13—42no—
622C2×C4×D13—42no—
623C2×C4×D13—42no—
624C2×C4×D13—42no—
625C2×C4×D13C2414yes—
626C2×C4×D13C2414yes—
627C2×C4×D13C2414yes—
628C2×C4×D13C2414yes—
629C2×C4×D13C2414yes—
630C2×C4×D13C2414yes—
631C2×C4×D13C2414yes—
632C2×C4×D13C2414yes—
633C2×C4×D13C2414yes—
634C2×C4×D13C2414yes—
635C2×Dic26—24no—
636C2×Dic26—24no—
637C2×Dic26—24no—
638C2×Dic26—24no—
639C2×Dic26—42no—
640C2×Dic26C2414yes—
641C2×Dic26C2414yes—
642C2×Dic26C2414yes—
643C2×Dic26C2414yes—
644C2×Dic26C2414yes—
645C13×C4⋊C4C2414yes—
646C13×C4⋊C4C2414yes—
647C13×C4⋊C4C2414yes—
648C13×C4⋊C4C2414yes—
649C13×C4⋊C4C2414yes—
650C13×C4⋊C4C2414yes—
651C13×C4⋊C4C2414yes—
652C13×C4⋊C4C2414yes—
653C13×C4⋊C4C2414yes—
654C13×C4⋊C4C2414yes—
655C13×C4⋊C4C2414yes—
656C13×C4⋊C4C2414yes—
657C13×C4⋊C4C2414yes—
658C13×C4⋊C4C2414yes—
659C13×C22⋊C4C2414yes—
660C13×C22⋊C4C2414yes—
661C13×C22⋊C4C2414yes—
662C13×C22⋊C4C2414yes—
663C13×C22⋊C4C2414yes—
664C13×C22⋊C4C2414yes—
665C13×C22⋊C4C2414yes—
666C13×C22⋊C4C2414yes—
667C13×C22⋊C4C2414yes—
668C13×C22⋊C4C2414yes—
669C42×C13C2414yes—
670C42×C13C2414yes—
671C22⋊Dic13C2414yes—
672C22⋊Dic13C2414yes—
673C22⋊Dic13C2414yes—
674C22⋊Dic13C2414yes—
675C22⋊Dic13C2414yes—
676C22⋊Dic13C2414yes—
677C22⋊Dic13C2414yes—
678C22⋊Dic13C2414yes—
679C22⋊Dic13C2414yes—
680C22⋊Dic13C2414yes—
681#6103C2414yes—
682#6103C2414yes—
683#6103C2414yes—
684#6103C2414yes—
685#6103C2414yes—
686#6103C2414yes—
687#6103C2414yes—
688#6103C2414yes—
689#6103C2414yes—
690#6103C2414yes—
691#6103C2414yes—
692#6103C2414yes—
693C4⋊Dic13C2414yes—
694C4⋊Dic13C2414yes—
695C4⋊Dic13C2414yes—
696C4⋊Dic13C2414yes—
697C4⋊Dic13C2414yes—
698C4⋊Dic13C2414yes—
699C4⋊Dic13C2414yes—
700C4⋊Dic13C2414yes—
701C4⋊Dic13C2414yes—
702C4⋊Dic13C2414yes—
703C4⋊Dic13C2414yes—
704C4⋊Dic13C2414yes—
705C4⋊Dic13C2414yes—
706C4⋊Dic13C2414yes—
707#6101C2414yes—
708#6101C2414yes—
709#6101C2414yes—
710#6101C2414yes—
711#6101C2414yes—
712#6101C2414yes—
713#6101C2414yes—
714#6101C2414yes—
715#6101C2414yes—
716#6101C2414yes—
717#6101C2414yes—
718#6101C2414yes—
719#6101C2414yes—
720#6101C2414yes—
721#6101C2414yes—
722#6101C2414yes—
723#6101C2414yes—
724#6101C2414yes—
725#6101C2414yes—
726#6101C2414yes—
727#6101C2414yes—
728#6101C2414yes—
729#6101C2414yes—
730#6101C2414yes—
731#6101C2414yes—
732#6101C2414yes—
733#6101C2414yes—
734#6101C2414yes—
735#6101C2414yes—
736#6101C2414yes—
737#6101C2414yes—
738#6101C2414yes—
739#6101C2414yes—
740#6101C2414yes—
741#6101C2414yes—
742#6101C2414yes—
743C4×Dic13C2414yes—
744C4×Dic13C2414yes—
745C4×Dic13C2414yes—
746C4×Dic13C2414yes—
747C4×Dic13C2414yes—
748C4×Dic13C2414yes—
749C4×Dic13C2414yes—
750C4×Dic13C2414yes—
751C4×Dic13C2414yes—
752C4×Dic13C2414yes—
753C4×Dic13C2414yes—
754C4×Dic13C2414yes—
755C4×Dic13C2414yes—
756C4×Dic13C2414yes—
757C4×Dic13C2414yes—
758C4×Dic13C2414yes—
759C4×Dic13C2414yes—
760C4×Dic13C2414yes—
761#3515—1332no—
762C2×#557—131no—
763C2×#554—131no—
764C2×#554—131no—
765C2×#553—131no—
766C2×#553—131no—
767C2×#552—131no—
768C2×#552—131no—
769C2×#552—131no—
770C2×#552—131no—
771C2×#552—131no—
772C2×#552—131no—
773C2×#552—131no—
774C2×#552—131no—
775C2×#547—131no—
776C2×#547—131no—
777C2×#547—131no—
778C2×#541—131no—
779C2×#541—131no—
780C2×#539—131no—
781C2×#539—131no—
782C2×#539—131no—
783C2×#539D1311yescharacteristic, complemented
784C2×#533—131no—
785C2×#529—131no—
786C2×#529—131no—
787C2×#529—131no—
788C22×#125—131no—
789C22×#125—131no—
790C2×#520—131no—
791C2×#520—131no—
792C2×C4×#41—131no—
793C23×C13—22no—
794C23×C13—22no—
795C23×C13—22no—
796C23×C13—22no—
797C23×C13—22no—
798C23×C13—22no—
799C23×C13—22no—
800C23×C13—22no—
801C23×C13C2×#4114yes—
802C23×C13C2512yes—
803C23×C13C2512yes—
804C23×C13C2512yes—
805C23×C13C2511yescharacteristic
806C22×D13—22no—
807C22×D13—22no—
808C22×D13—22no—
809C22×D13—22no—
810C22×D13—22no—
811C22×D13C2×#4114yes—
812C22×D13C2512yes—
813C22×D13C2512yes—
814Q8×C13—44no—
815D4×C13—28no—
816D4×C13—28no—
817D4×C13—44no—
818C2×C4×C13—22no—
819C2×C4×C13—22no—
820C2×C4×C13—22no—
821C2×C4×C13—22no—
822C2×C4×C13—28no—
823C2×C4×C13—22no—
824C2×C4×C13—22no—
825C2×C4×C13—22no—
826C2×C4×C13—22no—
827C2×C4×C13—22no—
828C2×C4×C13—22no—
829C2×C4×C13—22no—
830C2×C4×C13—22no—
831C2×C4×C13—44no—
832C2×C4×C13—44no—
833C2×C4×C13—44no—
834C2×C4×C13—44no—
835C2×C4×C13C2512yes—
836C2×C4×C13C2512yes—
837C2×C4×C13C2512yes—
838C2×C4×C13C2512yes—
839C2×C4×C13C2512yes—
840C2×C4×C13C2512yes—
841C2×C4×C13C2512yes—
842C2×C4×C13C2512yes—
843C2×C4×C13C2512yes—
844C2×C4×C13C2512yes—
845C2×C4×C13C2512yes—
846C2×C4×C13C2512yes—
847C22⋊D13—28no—
848C22⋊D13—28no—
849C22⋊D13—28no—
850C22⋊D13—28no—
851C22⋊D13—44no—
852C22⋊D13C2×#41116yes—
853C2×Dic13—22no—
854C2×Dic13—22no—
855C2×Dic13—22no—
856C2×Dic13—22no—
857C2×Dic13—22no—
858C2×Dic13—28no—
859C2×Dic13—28no—
860C2×Dic13—22no—
861C2×Dic13—22no—
862C2×Dic13—22no—
863C2×Dic13—22no—
864C2×Dic13—22no—
865C2×Dic13—22no—
866C2×Dic13—22no—
867C2×Dic13—28no—
868C2×Dic13—28no—
869C2×Dic13—28no—
870C2×Dic13—28no—
871C2×Dic13—44no—
872C2×Dic13—44no—
873C2×Dic13C2×#4114yes—
874C2×Dic132−1+414yes—
875C2×Dic13C2512yes—
876C2×Dic13C2512yes—
877C2×Dic13C2512yes—
878C2×Dic13C2512yes—
879C2×Dic13C2512yes—
880C2×Dic13C2512yes—
881C2×Dic13C2512yes—
882C2×Dic13C2512yes—
883C2×Dic13C2512yes—
884C2×Dic13C2512yes—
885C2×Dic13C2512yes—
886C2×Dic13C2512yes—
887C2×Dic13C2512yes—
888C2×Dic13C2512yes—
889D52—28no—
890C4×D13—28no—
891C4×D13—28no—
892C4×D13—28no—
893C4×D13—28no—
894C4×D13—28no—
895C4×D13—44no—
896C4×D13—44no—
897C4×D13—44no—
898C4×D13—44no—
899C4×D13—44no—
900Dic26—28no—
901Dic26—28no—
902Dic26—28no—
903Dic26—28no—
904Dic26—44no—
905C22×#41—131no—
906C22×#41—131no—
907C22×#41—131no—
908#557—1316no—
909#554—1316no—
910#554—1316no—
911#553—1316no—
912#553—1316no—
913#552—1316no—
914#552—1316no—
915#552—1316no—
916#552—1316no—
917#552—1316no—
918#552—1316no—
919#552—1316no—
920#552—1316no—
921#547—1316no—
922#547—1316no—
923#547—1316no—
924#541—1316no—
925#541—1316no—
926#539—1316no—
927#539—1316no—
928#539—1316no—
929#539C2×D13116yescomplemented
930#533—1316no—
931C2×C4⋊Q8—131no—
932C2×C4⋊Q8—131no—
933C2×C4⋊Q8—131no—
934C2×C4⋊Q8—131no—
935#529—1316no—
936#529—1316no—
937#529—1316no—
938C2×#126—131no—
939C2×#126—131no—
940C2×#126—131no—
941C2×#126—131no—
942C2×#126—131no—
943C2×#126—131no—
944C2×#126—131no—
945C2×#126—131no—
946C2×#126—131no—
947C2×#126—131no—
948C2×#126—131no—
949C2×#126—131no—
950C2×#126C2×D1311yescharacteristic
951C2×#126C2×D1311yescharacteristic
952C2×#125—1316no—
953C2×#125—131no—
954C2×#125—131no—
955C2×#125—131no—
956C2×#125—131no—
957C2×#125—131no—
958C2×#125—131no—
959C2×#125—131no—
960C2×#125—131no—
961C2×#125—131no—
962C2×#125—131no—
963C2×#125—131no—
964C2×#125—131no—
965C2×#125—131no—
966C2×#125—131no—
967C2×#125—131no—
968C2×#125—131no—
969C2×#125—131no—
970C2×#125—1316no—
971C2×#125—131no—
972C2×#125—131no—
973C2×#125—131no—
974C2×#125—131no—
975C2×#125—131no—
976C2×#125—131no—
977C2×#125C2×D1311yescharacteristic
978C2×#125C2×D1311yescharacteristic
979C2×#124—131no—
980C2×#123—131no—
981C2×#123—131no—
982C2×#123—131no—
983C2×#123—131no—
984C2×#123—131no—
985C2×#123—131no—
986C2×#123—131no—
987C2×#123—131no—
988C2×#123—131no—
989C2×#123—131no—
990C2×#123—131no—
991C2×#123—131no—
992C2×#123—131no—
993C2×#123—131no—
994C2×#123C2×D1311yescharacteristic
995C2×#123C2×D1311yescharacteristic
996C2×#123C2×D1311yescharacteristic
997C2×#123C2×D1311yescharacteristic
998C2×C22⋊Q8—131no—
999C2×C22⋊Q8—131no—
1000C2×C22⋊Q8—131no—
1001C2×C22⋊Q8—131no—
1002C2×C22⋊Q8—131no—
1003C2×C22⋊Q8—131no—
1004C2×C22⋊Q8—131no—
1005C2×C22⋊Q8—131no—
1006C2×C22⋊Q8—131no—
1007C2×C22⋊Q8—131no—
1008C2×C22⋊Q8—131no—
1009C2×C22⋊Q8—131no—
1010C2×C22⋊Q8—131no—
1011C2×C22⋊Q8—131no—
1012C2×C22⋊Q8—131no—
1013C2×C22⋊Q8—131no—
1014C2×C22⋊Q8C2×D1311yescharacteristic
1015C2×C22⋊Q8C2×D1311yescharacteristic
1016C2×C22⋊Q8C2×D1311yescharacteristic
1017C2×#121—131no—
1018C2×#121—131no—
1019C2×#121—131no—
1020C2×#121—131no—
1021C2×#121—131no—
1022C2×#121—131no—
1023C2×#121C2×D1311yescharacteristic
1024#520—1316no—
1025#520—1316no—
1026C4×#41—1316no—
1027C2×C4×Q8—131no—
1028C2×C4×Q8—131no—
1029C2×C4×Q8—131no—
1030C2×C4×Q8—131no—
1031C2×C4×Q8—131no—
1032C2×C4×Q8—131no—
1033C2×C4×Q8—131no—
1034C2×C4×Q8—131no—
1035C2×C4×Q8—131no—
1036C2×C4×Q8—131no—
1037C2×C4×Q8—131no—
1038C2×C4×D4—131no—
1039C2×C4×D4—131no—
1040C2×C4×D4—131no—
1041C2×C4×D4—131no—
1042C2×C4×D4—131no—
1043C2×C4×D4—131no—
1044C2×C4×D4—131no—
1045C2×C4×D4—131no—
1046C2×C4×D4—131no—
1047C2×C4×D4—131no—
1048C2×C4×D4—131no—
1049C2×C4×D4—131no—
1050C2×C4×D4—131no—
1051C2×C4×D4—131no—
1052C2×C4×D4—131no—
1053C2×C4×D4—131no—
1054C2×C4×D4—131no—
1055C2×C4×D4—131no—
1056C2×C4×D4—131no—
1057C2×C4×D4C2×D1311yescharacteristic
1058C2×C4×D4C2×D1311yescharacteristic
1059C2×#117—131no—
1060C2×#117—131no—
1061C2×#117—131no—
1062C2×#117—131no—
1063C2×#117—131no—
1064C2×#117—131no—
1065C2×#117—131no—
1066C2×#117—131no—
1067C2×#117—131no—
1068C2×#117—131no—
1069C2×#117—131no—
1070C2×#117—131no—
1071C2×#117—131no—
1072C2×#117—131no—
1073C2×#117—131no—
1074C22×C4⋊C4—131no—
1075C22×C4⋊C4—131no—
1076C22×C4⋊C4—131no—
1077C22×C4⋊C4—131no—
1078C22×C4⋊C4—131no—
1079C22×C4⋊C4—131no—
1080C22×C4⋊C4—131no—
1081C22×C4⋊C4—131no—
1082C22×C4⋊C4—131no—
1083C22×C4⋊C4—131no—
1084C22×C4⋊C4—131no—
1085C22×C4⋊C4—131no—
1086C22×C4⋊C4—131no—
1087C22×C4⋊C4C2×D1311yescharacteristic
1088C22×C42—131no—
1089C22×C42—131no—
1090C22×C42—131no—
1091C22×C13—22no—
1092C22×C13—22no—
1093C22×C13—28no—
1094C22×C13—22no—
1095C22×C13—22no—
1096C22×C13—22no—
1097C22×C13—22no—
1098C22×C13—22no—
1099C22×C13—22no—
1100C22×C13—44no—
1101C22×C13—44no—
1102C22×C13C22×#4114yes—
1103C22×C13C22×#4112yes—
1104C22×C13C2×2−1+412yes—
1105C22×C13#58512yes—
1106C22×C13C2611yescharacteristic
1107C2×D13—22no—
1108C2×D13—22no—
1109C2×D13—28no—
1110C2×D13—22no—
1111C2×D13—22no—
1112C2×D13—22no—
1113C2×D13—44no—
1114C2×D13C22×#4114yes—
1115C4×C13—22no—
1116C4×C13—22no—
1117C4×C13—22no—
1118C4×C13—22no—
1119C4×C13—22no—
1120C4×C13—22no—
1121C4×C13—22no—
1122C4×C13—22no—
1123C4×C13—22no—
1124C4×C13—22no—
1125C4×C13—22no—
1126C4×C13—22no—
1127Dic13—22no—
1128Dic13—22no—
1129Dic13—22no—
1130Dic13—22no—
1131Dic13—22no—
1132Dic13—22no—
1133Dic13—22no—
1134Dic13—22no—
1135Dic13—22no—
1136Dic13—22no—
1137Dic13—22no—
1138Dic13—22no—
1139Dic13C22×#4114yes—
1140Dic13C2×2−1+414yes—
1141C2×#41—138no—
1142C2×#41—138no—
1143C2×#41—138no—
1144C2×#41—268no—
1145C2×#41—268no—
1146C2×#41—268no—
1147C22×Q8—131no—
1148C22×Q8—131no—
1149C22×Q8—131no—
1150C22×Q8—131no—
1151C22×Q8—131no—
1152C22×Q8C22×D1311yescharacteristic
1153C22×D4—131no—
1154C22×D4—131no—
1155C22×D4—131no—
1156C22×D4—131no—
1157C22×D4—131no—
1158C22×D4—131no—
1159C22×D4—131no—
1160C22×D4C22×D1311yescharacteristic
1161C22×D4C22×D1311yescharacteristic
1162C22×D4C22×D1311yescharacteristic
1163C23×C4—131no—
1164C23×C4—131no—
1165C23×C4—131no—
1166C23×C4—131no—
1167C23×C4—131no—
1168C23×C4—131no—
1169C23×C4—131no—
1170C23×C4—131no—
1171C23×C4—131no—
1172C23×C4—131no—
1173C23×C4—131no—
1174C23×C4—131no—
1175C23×C4—131no—
1176C23×C4—131no—
1177C23×C4—131no—
1178C23×C4—131no—
1179C23×C4—131no—
1180C23×C4—131no—
1181C23×C4C22×D1311yescharacteristic
1182C23×C4C22×D1311yescharacteristic
1183C23×C4C22×D1311yescharacteristic
1184C23×C4C22×D1311yescharacteristic
1185C23×C4C22×D1311yescharacteristic
1186C4⋊Q8—138no—
1187C4⋊Q8—138no—
1188C4⋊Q8—138no—
1189C4⋊Q8—138no—
1190#126—138no—
1191#126—138no—
1192#126—138no—
1193#126—138no—
1194#126—138no—
1195#126—138no—
1196#126—138no—
1197#126—138no—
1198#126—138no—
1199#126—138no—
1200#126—138no—
1201#126—138no—
1202#126C22×D1318yes—
1203#126C22×D1318yes—
1204#125—138no—
1205#125—138no—
1206#125—138no—
1207#125—138no—
1208#125—138no—
1209#125—138no—
1210#125—138no—
1211#125—138no—
1212#125—138no—
1213#125—138no—
1214#125—138no—
1215#125—138no—
1216#125—138no—
1217#125—138no—
1218#125—138no—
1219#125—138no—
1220#125—138no—
1221#125—138no—
1222#125—138no—
1223#125—138no—
1224#125—138no—
1225#125—138no—
1226#125—138no—
1227#125C22×D1318yes—
1228#125C22×D1318yes—
1229#124—138no—
1230#123—138no—
1231#123—138no—
1232#123—138no—
1233#123—138no—
1234#123—138no—
1235#123—138no—
1236#123—138no—
1237#123—138no—
1238#123—138no—
1239#123—138no—
1240#123—138no—
1241#123—138no—
1242#123—138no—
1243#123—138no—
1244#123C22×D1318yes—
1245#123C22×D1318yes—
1246#123C22×D1318yes—
1247#123C22×D1318yes—
1248C22⋊Q8—138no—
1249C22⋊Q8—138no—
1250C22⋊Q8—138no—
1251C22⋊Q8—138no—
1252C22⋊Q8—138no—
1253C22⋊Q8—138no—
1254C22⋊Q8—138no—
1255C22⋊Q8—138no—
1256C22⋊Q8—138no—
1257C22⋊Q8—138no—
1258C22⋊Q8—138no—
1259C22⋊Q8—138no—
1260C22⋊Q8—138no—
1261C22⋊Q8—138no—
1262C22⋊Q8—138no—
1263C22⋊Q8—138no—
1264C22⋊Q8C22×D1318yes—
1265C22⋊Q8C22×D1318yes—
1266C22⋊Q8C22×D1318yes—
1267#121—138no—
1268#121—138no—
1269#121—138no—
1270#121—138no—
1271#121—138no—
1272#121—138no—
1273#121C22×D1318yes—
1274C4×Q8—138no—
1275C4×Q8—138no—
1276C4×Q8—138no—
1277C4×Q8—138no—
1278C4×Q8—138no—
1279C4×Q8—138no—
1280C4×Q8—138no—
1281C4×Q8—138no—
1282C4×Q8—138no—
1283C4×Q8—138no—
1284C4×Q8—138no—
1285C4×D4—138no—
1286C4×D4—138no—
1287C4×D4—138no—
1288C4×D4—138no—
1289C4×D4—138no—
1290C4×D4—138no—
1291C4×D4—138no—
1292C4×D4—138no—
1293C4×D4—138no—
1294C4×D4—138no—
1295C4×D4—138no—
1296C4×D4—138no—
1297C4×D4—138no—
1298C4×D4—138no—
1299C4×D4—138no—
1300C4×D4—138no—
1301C4×D4—138no—
1302C4×D4—138no—
1303C4×D4—138no—
1304C4×D4C22×D1318yes—
1305C4×D4C22×D1318yes—
1306#117—138no—
1307#117—138no—
1308#117—138no—
1309#117—138no—
1310#117—138no—
1311#117—138no—
1312#117—138no—
1313#117—138no—
1314#117—138no—
1315#117—138no—
1316#117—138no—
1317#117—138no—
1318#117—138no—
1319#117—138no—
1320#117—138no—
1321C2×C4⋊C4—131no—
1322C2×C4⋊C4—131no—
1323C2×C4⋊C4—131no—
1324C2×C4⋊C4—131no—
1325C2×C4⋊C4—131no—
1326C2×C4⋊C4—131no—
1327C2×C4⋊C4—131no—
1328C2×C4⋊C4—131no—
1329C2×C4⋊C4—131no—
1330C2×C4⋊C4—131no—
1331C2×C4⋊C4—131no—
1332C2×C4⋊C4—131no—
1333C2×C4⋊C4—131no—
1334C2×C4⋊C4—131no—
1335C2×C4⋊C4—131no—
1336C2×C4⋊C4—131no—
1337C2×C4⋊C4—131no—
1338C2×C4⋊C4—131no—
1339C2×C4⋊C4—131no—
1340C2×C4⋊C4—131no—
1341C2×C4⋊C4—131no—
1342C2×C4⋊C4—131no—
1343C2×C4⋊C4—131no—
1344C2×C4⋊C4—131no—
1345C2×C4⋊C4—138no—
1346C2×C4⋊C4—138no—
1347C2×C4⋊C4—131no—
1348C2×C4⋊C4—131no—
1349C2×C4⋊C4—131no—
1350C2×C4⋊C4—131no—
1351C2×C4⋊C4—131no—
1352C2×C4⋊C4—131no—
1353C2×C4⋊C4—131no—
1354C2×C4⋊C4—131no—
1355C2×C4⋊C4—131no—
1356C2×C4⋊C4—131no—
1357C2×C4⋊C4—131no—
1358C2×C4⋊C4—131no—
1359C2×C4⋊C4—138no—
1360C2×C4⋊C4—138no—
1361C2×C4⋊C4—138no—
1362C2×C4⋊C4—138no—
1363C2×C4⋊C4—131no—
1364C2×C4⋊C4—131no—
1365C2×C4⋊C4—131no—
1366C2×C4⋊C4—131no—
1367C2×C4⋊C4—131no—
1368C2×C4⋊C4—131no—
1369C2×C4⋊C4—131no—
1370C2×C4⋊C4—131no—
1371C2×C4⋊C4—131no—
1372C2×C4⋊C4—131no—
1373C2×C4⋊C4—131no—
1374C2×C4⋊C4—131no—
1375C2×C4⋊C4—131no—
1376C2×C4⋊C4—131no—
1377C2×C4⋊C4—138no—
1378C2×C4⋊C4—138no—
1379C2×C4⋊C4—138no—
1380C2×C4⋊C4—138no—
1381C2×C4⋊C4—138no—
1382C2×C4⋊C4—138no—
1383C2×C4⋊C4—138no—
1384C2×C4⋊C4C22×D1311yescharacteristic
1385C2×C4⋊C4C22×D1311yescharacteristic
1386C2×C4⋊C4C22×D1311yescharacteristic
1387C2×C4⋊C4C22×D1311yescharacteristic
1388C2×C4⋊C4C22×D1311yescharacteristic
1389C2×C4⋊C4C22×D1311yescharacteristic
1390C2×C4⋊C4C22×D1311yescharacteristic
1391C2×C4⋊C4C22×D1311yescharacteristic
1392C2×C4⋊C4C22×D1311yescharacteristic
1393C2×C4⋊C4C22×D1318yes—
1394C2×C4⋊C4C22×D1311yescharacteristic
1395C2×C4⋊C4C22×D1311yescharacteristic
1396C2×C4⋊C4C22×D1311yescharacteristic
1397C2×C4⋊C4C22×D1311yescharacteristic
1398C2×C4⋊C4C22×D1311yescharacteristic
1399C2×C22⋊C4—131no—
1400C2×C22⋊C4—131no—
1401C2×C22⋊C4—131no—
1402C2×C22⋊C4—131no—
1403C2×C22⋊C4—131no—
1404C2×C22⋊C4—131no—
1405C2×C22⋊C4—131no—
1406C2×C22⋊C4—131no—
1407C2×C22⋊C4—131no—
1408C2×C22⋊C4—131no—
1409C2×C22⋊C4—131no—
1410C2×C22⋊C4—131no—
1411C2×C22⋊C4—131no—
1412C2×C22⋊C4—131no—
1413C2×C22⋊C4—131no—
1414C2×C22⋊C4—131no—
1415C2×C22⋊C4—131no—
1416C2×C22⋊C4—131no—
1417C2×C22⋊C4—131no—
1418C2×C22⋊C4—131no—
1419C2×C22⋊C4—131no—
1420C2×C22⋊C4—131no—
1421C2×C22⋊C4C22×D1311yescharacteristic
1422C2×C22⋊C4C22×D1311yescharacteristic
1423C2×C22⋊C4C22×D1311yescharacteristic
1424C2×C22⋊C4C22×D1311yescharacteristic
1425C2×C22⋊C4C22×D1311yescharacteristic
1426C2×C22⋊C4C22×D1311yescharacteristic
1427C2×C22⋊C4C22×D1311yescharacteristic
1428C2×C22⋊C4C22×D1311yescharacteristic
1429C2×C22⋊C4C22×D1311yescharacteristic
1430C2×C22⋊C4C22×D1311yescharacteristic
1431C2×C42—131no—
1432C2×C42—131no—
1433C2×C42—131no—
1434C2×C42—131no—
1435C2×C42—131no—
1436C2×C42—131no—
1437C2×C42—131no—
1438C2×C42—131no—
1439C2×C42—131no—
1440C2×C42—131no—
1441C2×C42—131no—
1442C2×C42—131no—
1443C2×C42—131no—
1444C2×C42—131no—
1445C2×C42—131no—
1446C2×C42—131no—
1447C2×C42—131no—
1448C2×C42—138no—
1449C2×C42—138no—
1450C2×C42—131no—
1451C2×C42—138no—
1452C2×C42C22×D1311yescharacteristic
1453C2×C42C22×D1311yescharacteristic
1454C2×C13—24no—
1455C2×C13—42no—
1456C2×C13—42no—
1457C2×C13#351514yescomplemented
1458C2×C13C23×#4111yescharacteristic
1459C2×C13C22×2−1+411yescharacteristic
1460C2×C13C2×#58511yescharacteristic
1461D13—24no—
1462D13—42no—
1463C24—131no—
1464C24—131no—
1465C24C23×D1311yescharacteristic
1466C24C23×D1311yescharacteristic
1467C24C23×D1311yescharacteristic
1468#41—2632no—
1469#41—2632no—
1470#41—2632no—
1471C2×Q8—42no—
1472C2×Q8—134no—
1473C2×Q8—134no—
1474C2×Q8—134no—
1475C2×Q8—134no—
1476C2×Q8—134no—
1477C2×Q8—264no—
1478C2×Q8—264no—
1479C2×Q8—264no—
1480C2×Q8—264no—
1481C2×Q8—522no—
1482C2×Q8C23×D1314yes—
1483C2×D4—24no—
1484C2×D4—24no—
1485C2×D4—42no—
1486C2×D4—138no—
1487C2×D4—134no—
1488C2×D4—134no—
1489C2×D4—134no—
1490C2×D4—134no—
1491C2×D4—134no—
1492C2×D4—134no—
1493C2×D4—134no—
1494C2×D4—264no—
1495C2×D4—264no—
1496C2×D4—264no—
1497C2×D4—264no—
1498C2×D4—264no—
1499C2×D4—522no—
1500C2×D4C23×D1314yes—
1501C2×D4C23×D1314yes—
1502C2×D4C23×D1314yes—
1503C22×C4—24no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—131no—
1509C22×C4—131no—
1510C22×C4—134no—
1511C22×C4—134no—
1512C22×C4—134no—
1513C22×C4—134no—
1514C22×C4—134no—
1515C22×C4—134no—
1516C22×C4—131no—
1517C22×C4—131no—
1518C22×C4—131no—
1519C22×C4—131no—
1520C22×C4—131no—
1521C22×C4—131no—
1522C22×C4—131no—
1523C22×C4—131no—
1524C22×C4—131no—
1525C22×C4—131no—
1526C22×C4—131no—
1527C22×C4—131no—
1528C22×C4—134no—
1529C22×C4—134no—
1530C22×C4—134no—
1531C22×C4—134no—
1532C22×C4—134no—
1533C22×C4—134no—
1534C22×C4—134no—
1535C22×C4—134no—
1536C22×C4—134no—
1537C22×C4—134no—
1538C22×C4—134no—
1539C22×C4—134no—
1540C22×C4—264no—
1541C22×C4—264no—
1542C22×C4—264no—
1543C22×C4—264no—
1544C22×C4—264no—
1545C22×C4—264no—
1546C22×C4—264no—
1547C22×C4—264no—
1548C22×C4—264no—
1549C22×C4—264no—
1550C22×C4—264no—
1551C22×C4—522no—
1552C22×C4—522no—
1553C22×C4—522no—
1554C22×C4—522no—
1555C22×C4—522no—
1556C22×C4—522no—
1557C22×C4—522no—
1558C22×C4C23×D1314yes—
1559C22×C4C23×D1311yescharacteristic
1560C22×C4C23×D1311yescharacteristic
1561C22×C4C23×D1311yescharacteristic
1562C22×C4C23×D1311yescharacteristic
1563C22×C4C23×D1311yescharacteristic
1564C22×C4C23×D1311yescharacteristic
1565C22×C4C23×D1311yescharacteristic
1566C22×C4C23×D1311yescharacteristic
1567C22×C4C23×D1311yescharacteristic
1568C22×C4C23×D1311yescharacteristic
1569C22×C4C23×D1311yescharacteristic
1570C22×C4C23×D1311yescharacteristic
1571C22×C4C23×D1314yes—
1572C22×C4C23×D1314yes—
1573C22×C4C23×D1314yes—
1574C22×C4C23×D1314yes—
1575C4⋊C4—134no—
1576C4⋊C4—134no—
1577C4⋊C4—134no—
1578C4⋊C4—134no—
1579C4⋊C4—134no—
1580C4⋊C4—134no—
1581C4⋊C4—134no—
1582C4⋊C4—134no—
1583C4⋊C4—134no—
1584C4⋊C4—134no—
1585C4⋊C4—134no—
1586C4⋊C4—134no—
1587C4⋊C4—134no—
1588C4⋊C4—134no—
1589C4⋊C4—134no—
1590C4⋊C4—134no—
1591C4⋊C4—134no—
1592C4⋊C4—134no—
1593C4⋊C4—134no—
1594C4⋊C4—134no—
1595C4⋊C4—134no—
1596C4⋊C4—134no—
1597C4⋊C4—134no—
1598C4⋊C4—134no—
1599C4⋊C4—134no—
1600C4⋊C4—134no—
1601C4⋊C4—134no—
1602C4⋊C4—134no—
1603C4⋊C4—134no—
1604C4⋊C4—134no—
1605C4⋊C4—134no—
1606C4⋊C4—134no—
1607C4⋊C4—134no—
1608C4⋊C4—134no—
1609C4⋊C4—134no—
1610C4⋊C4—134no—
1611C4⋊C4—134no—
1612C4⋊C4—134no—
1613C4⋊C4—134no—
1614C4⋊C4—134no—
1615C4⋊C4—134no—
1616C4⋊C4—134no—
1617C4⋊C4—134no—
1618C4⋊C4—134no—
1619C4⋊C4—134no—
1620C4⋊C4—134no—
1621C4⋊C4—134no—
1622C4⋊C4—134no—
1623C4⋊C4—134no—
1624C4⋊C4—134no—
1625C4⋊C4C23×D1314yes—
1626C4⋊C4C23×D1314yes—
1627C4⋊C4C23×D1314yes—
1628C4⋊C4C23×D1314yes—
1629C4⋊C4C23×D1314yes—
1630C4⋊C4C23×D1314yes—
1631C4⋊C4C23×D1314yes—
1632C4⋊C4C23×D1314yes—
1633C4⋊C4C23×D1314yes—
1634C4⋊C4C23×D1314yes—
1635C4⋊C4C23×D1314yes—
1636C4⋊C4C23×D1314yes—
1637C4⋊C4C23×D1314yes—
1638C4⋊C4C23×D1314yes—
1639C22⋊C4—134no—
1640C22⋊C4—134no—
1641C22⋊C4—134no—
1642C22⋊C4—134no—
1643C22⋊C4—134no—
1644C22⋊C4—134no—
1645C22⋊C4—134no—
1646C22⋊C4—134no—
1647C22⋊C4—134no—
1648C22⋊C4—134no—
1649C22⋊C4—134no—
1650C22⋊C4—134no—
1651C22⋊C4—134no—
1652C22⋊C4—134no—
1653C22⋊C4—134no—
1654C22⋊C4—134no—
1655C22⋊C4—134no—
1656C22⋊C4—134no—
1657C22⋊C4—134no—
1658C22⋊C4—134no—
1659C22⋊C4—134no—
1660C22⋊C4—134no—
1661C22⋊C4C23×D1314yes—
1662C22⋊C4C23×D1314yes—
1663C22⋊C4C23×D1314yes—
1664C22⋊C4C23×D1314yes—
1665C22⋊C4C23×D1314yes—
1666C22⋊C4C23×D1314yes—
1667C22⋊C4C23×D1314yes—
1668C22⋊C4C23×D1314yes—
1669C22⋊C4C23×D1314yes—
1670C22⋊C4C23×D1314yes—
1671C42—134no—
1672C42—134no—
1673C42—134no—
1674C42—134no—
1675C42—134no—
1676C42—134no—
1677C42—134no—
1678C42—134no—
1679C42—134no—
1680C42—134no—
1681C42—134no—
1682C42—134no—
1683C42—134no—
1684C42—134no—
1685C42—134no—
1686C42—134no—
1687C42—134no—
1688C42—134no—
1689C42C23×D1314yes—
1690C42C23×D1314yes—
1691C13C2×#351511yescharacteristic, complemented, Sylow
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—134no—
1701C23—132no—
1702C23—132no—
1703C23—262no—
1704C23—262no—
1705C23—262no—
1706C23—262no—
1707C23—262no—
1708C23#41×D1314yes—
1709C23C24×D1312yes—
1710C23C24×D1312yes—
1711C23C24×D1312yes—
1712C23C24×D1311yescharacteristic
1713Q8—44no—
1714Q8—268no—
1715Q8—268no—
1716Q8—268no—
1717Q8—268no—
1718Q8—524no—
1719D4—28no—
1720D4—28no—
1721D4—44no—
1722D4—1316no—
1723D4—268no—
1724D4—268no—
1725D4—268no—
1726D4—268no—
1727D4—268no—
1728D4—524no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—28no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—134no—
1747C2×C4—134no—
1748C2×C4—132no—
1749C2×C4—132no—
1750C2×C4—132no—
1751C2×C4—132no—
1752C2×C4—132no—
1753C2×C4—132no—
1754C2×C4—132no—
1755C2×C4—132no—
1756C2×C4—132no—
1757C2×C4—132no—
1758C2×C4—132no—
1759C2×C4—132no—
1760C2×C4—132no—
1761C2×C4—132no—
1762C2×C4—268no—
1763C2×C4—268no—
1764C2×C4—268no—
1765C2×C4—268no—
1766C2×C4—268no—
1767C2×C4—268no—
1768C2×C4—268no—
1769C2×C4—268no—
1770C2×C4—268no—
1771C2×C4—262no—
1772C2×C4—262no—
1773C2×C4—262no—
1774C2×C4—262no—
1775C2×C4—262no—
1776C2×C4—268no—
1777C2×C4—268no—
1778C2×C4—262no—
1779C2×C4—262no—
1780C2×C4—262no—
1781C2×C4—262no—
1782C2×C4—262no—
1783C2×C4—262no—
1784C2×C4—262no—
1785C2×C4—524no—
1786C2×C4—524no—
1787C2×C4—524no—
1788C2×C4—524no—
1789C2×C4—524no—
1790C2×C4—524no—
1791C2×C4—524no—
1792C2×C4C24×D1312yes—
1793C2×C4C24×D1312yes—
1794C2×C4C24×D1312yes—
1795C2×C4C24×D1312yes—
1796C2×C4C24×D1312yes—
1797C2×C4C24×D1312yes—
1798C2×C4C24×D1312yes—
1799C2×C4C24×D1312yes—
1800C2×C4C24×D1312yes—
1801C2×C4C24×D1312yes—
1802C2×C4C24×D1312yes—
1803C2×C4C24×D1312yes—
1804C22—28no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—44no—
1814C22—44no—
1815C22—134no—
1816C22—268no—
1817C22—262no—
1818C22—262no—
1819C22—262no—
1820C22—262no—
1821C22—262no—
1822C22—524no—
1823C22C2×#41×D1314yes—
1824C22C2×#41×D1312yes—
1825C22#1171965012yes—
1826C22D13×2−1+412yes—
1827C22C25×D1311yescharacteristic
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—22no—
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—134no—
1841C4—134no—
1842C4—262no—
1843C4—262no—
1844C4—262no—
1845C4—262no—
1846C4—262no—
1847C4—262no—
1848C4—262no—
1849C4—262no—
1850C4—262no—
1851C4—262no—
1852C4—262no—
1853C4—262no—
1854C2—24no—
1855C2—42no—
1856C2—42no—
1857C2—264no—
1858C2—522no—
1859C2#1312880614yesdirect product factor
1860C2C22×#41×D1311yescharacteristic
1861C2C2×D13×2−1+411yescharacteristic
1862C2C2×#1171965011yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#539C2
socleC23×C13C25
hypercenterC2×#539D13
hypocenterC13C2×#3515
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13128806C2direct (N × H)
2. C2×#11719390C2semidirect
3. C2×#11719341C2semidirect
4. C2×#11719341C2semidirect
5. C2×#11719366C2semidirect
6. C2×#11719306C2semidirect
7. C2×#11719347C2semidirect
8. C2×#11719355C2semidirect
9. C2×#11719355C2semidirect
10. C2×#11719355C2semidirect
11. C2×#11719413C2semidirect
12. C2×#11719413C2semidirect
13. C2×#11719344C2semidirect
14. C2×#11719398C2semidirect
15. C2×#11719316C2semidirect
16. C2×#11719360C2semidirect
17. C2×#11719360C2semidirect
18. C2×#11719401C2semidirect
19. C2×#11719406C2semidirect
20. C2×#11719343C2semidirect
21. C2×#11719365C2semidirect
22. C2×#11719269C2semidirect
23. C2×#11719327C2semidirect
24. C2×#11719411C2semidirect
25. C2×#11719243C2semidirect
26. C2×#11719354C2semidirect
27. C22×#88143C2semidirect
28. C2×D13×#125C2semidirect
29. C2×#11719209C2semidirect
30. C2×#11719251C2semidirect
31. C2×C4×#6129C2semidirect
32. C2×C13×#539C2semidirect
36. C13×#539C22semidirect
85. #11719413C22semidirect
86. #11719413C22semidirect
87. #11719411C22semidirect
88. #11719406C22semidirect
89. #11719401C22semidirect
90. #11719398C22semidirect
91. D13×#125C22semidirect
92. #11719390C22semidirect
93. #11719366C22semidirect
94. #11719365C22semidirect
95. #11719360C22semidirect
96. #11719360C22semidirect
97. #11719355C22semidirect
98. #11719355C22semidirect
99. #11719355C22semidirect
100. #11719354C22semidirect
101. #11719347C22semidirect
102. #11719344C22semidirect
103. #11719343C22semidirect
104. #11719341C22semidirect
105. #11719341C22semidirect
106. #11719327C22semidirect
107. #11719316C22semidirect
108. #11719306C22semidirect
109. #11719269C22semidirect
110. #11719251C22semidirect
111. #11719243C22semidirect
112. C4×#6129C22semidirect
124. #11719209C22semidirect
160. C2×#88143C22semidirect
783. C2×#539D13semidirect
929. #539C2×D13semidirect
1457. C2×C13#3515semidirect
1691. C13C2×#3515semidirect
1859. C2#13128806direct (N × H)

Maximal subgroups

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

subgroupindex
#131288062
C2×#117193902
C2×#117193412
C2×#117193662
C2×#117193062
C2×#117193472
C2×#117193552
C2×#117194132
C2×#117193442
C2×#117193982
C2×#117193162
C2×#117193602
C2×#117194012
C2×#117194062
C2×#117193432
C2×#117193652
C2×#117192692
C2×#117193272
C2×#117194112
C2×#117192432
C2×#117193542
C22×#881432
C2×D13×#1252
C2×#117192092
C2×#117192512
C2×C4×#61292
C2×C13×#5392
C2×#351513