Finite Group Databasebeta

← C2×#13129522 #16770360

Subgroups — C2×#13129522 #16770360

Order 3328.

6662 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129522C2132yesmaximal, direct product factor
2C2×C13⋊#564C211yesmaximal, characteristic, complemented
3C2×#11719372C211yesmaximal, characteristic, complemented
4C2×#11719352C211yesmaximal, characteristic, complemented
5C2×#11719352C211yesmaximal, characteristic, complemented
6C2×#11719400C211yesmaximal, characteristic, complemented
7C2×#11719414C211yesmaximal, characteristic, complemented
8C2×#11719263C211yesmaximal, characteristic, complemented
9C2×#11719219C211yesmaximal, characteristic, complemented
10C2×#11719270C211yesmaximal, characteristic, complemented
11C2×#11719366C211yesmaximal, characteristic, complemented
12C2×#11719347C211yesmaximal, characteristic, complemented
13C2×#11719399C211yesmaximal, characteristic, complemented
14C2×#11719413C211yesmaximal, characteristic, complemented
15C2×#11719218C211yesmaximal, characteristic, complemented
16C2×#11719344C211yesmaximal, characteristic, complemented
17C2×#11719398C211yesmaximal, characteristic, complemented
18C2×#11719324C211yesmaximal, characteristic, complemented
19C2×#11719368C211yesmaximal, characteristic, complemented
20C2×#11719368C211yesmaximal, characteristic, complemented
21C2×#11719368C211yesmaximal, characteristic, complemented
22C2×#11719267C211yesmaximal, characteristic, complemented
23C2×#11719320C211yesmaximal, characteristic, complemented
24C2×#11719343C211yesmaximal, characteristic, complemented
25C2×#11719370C211yesmaximal, characteristic, complemented
26C2×#11719365C211yesmaximal, characteristic, complemented
27C2×#11719412C211yesmaximal, characteristic, complemented
28C2×#11719412C211yesmaximal, characteristic, complemented
29C2×#11719329C211yesmaximal, characteristic, complemented
30C2×#11719243C211yesmaximal, characteristic, complemented
31C2×#11719354C211yesmaximal, characteristic, complemented
32C2×C13×#539C211yesmaximal, characteristic, complemented
33C13×#539C22116yescomplemented
34C2×C13×#126C2211yescharacteristic
35C2×C13×#126C2211yescharacteristic
36C2×C13×#125C2211yescharacteristic
37C2×C13×#125C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic
39C2×C13×#123C2211yescharacteristic
40C2×C13×#123C2211yescharacteristic
41C2×C13×#123C2211yescharacteristic
42C2×C13×C22⋊Q8C2211yescharacteristic
43C2×C13×C22⋊Q8C2211yescharacteristic
44C2×C13×C22⋊Q8C2211yescharacteristic
45C2×C13×#121C2211yescharacteristic
46C2×C4×D4×C13C2211yescharacteristic
47C2×C4×D4×C13C2211yescharacteristic
48C22×C13×C4⋊C4C2211yescharacteristic
49C2×#88201C2211yescharacteristic
50C2×#88200C2211yescharacteristic
51C2×#88200C2211yescharacteristic
52C2×Q8×Dic13C2211yescharacteristic
53C2×#88194C2211yescharacteristic
54C2×#88194C2211yescharacteristic
55C2×#88193C2211yescharacteristic
56C2×#88193C2211yescharacteristic
57C2×#88193C2211yescharacteristic
58C2×#88193C2211yescharacteristic
59C2×#88193C2211yescharacteristic
60C2×#88192C2211yescharacteristic
61C2×#88192C2211yescharacteristic
62C2×#88192C2211yescharacteristic
63C2×#88189C2211yescharacteristic
64C2×D4×Dic13C2211yescharacteristic
65C2×#88184C2211yescharacteristic
66C2×#88184C2211yescharacteristic
67C2×#88184C2211yescharacteristic
68C2×#88184C2211yescharacteristic
69C2×#88184C2211yescharacteristic
70C2×#88183C2211yescharacteristic
71C2×#88183C2211yescharacteristic
72C2×#88183C2211yescharacteristic
73C2×#88183C2211yescharacteristic
74C2×C4×C22⋊D13C2211yescharacteristic
75C2×C4×C22⋊D13C2211yescharacteristic
76C2×C4×C22⋊D13C2211yescharacteristic
77C2×C4×C22⋊D13C2211yescharacteristic
78C2×C4×C22⋊D13C2211yescharacteristic
79C2×C4×C22⋊D13C2211yescharacteristic
80C2×#88180C2211yescharacteristic
81C2×#88180C2211yescharacteristic
82C22×C4⋊Dic13C2211yescharacteristic
83C2×#88178C2211yescharacteristic
84C22×C4×Dic13C2211yescharacteristic
85#11719414C22116yescomplemented
86#11719413C22116yescomplemented
87#11719412C22116yescomplemented
88#11719412C22116yescomplemented
89#11719400C22116yescomplemented
90#11719399C22116yescomplemented
91#11719398C22116yescomplemented
92C13⋊#564C22116yescomplemented
93#11719372C22116yescomplemented
94#11719370C22116yescomplemented
95#11719368C22116yescomplemented
96#11719368C22116yescomplemented
97#11719368C22116yescomplemented
98#11719366C22116yescomplemented
99#11719365C22116yescomplemented
100#11719354C22116yescomplemented
101#11719352C22116yescomplemented
102#11719352C22116yescomplemented
103#11719347C22116yescomplemented
104#11719344C22116yescomplemented
105#11719343C22116yescomplemented
106#11719329C22116yescomplemented
107#11719324C22116yescomplemented
108#11719320C22116yescomplemented
109#11719270C22116yescomplemented
110#11719267C22116yescomplemented
111#11719263C22116yescomplemented
112#11719243C22116yescomplemented
113#11719219C22116yescomplemented
114#11719218C22116yescomplemented
115C2×#88152C2211yescharacteristic
116C2×#88152C2211yescharacteristic
117C2×#88152C2211yescharacteristic
118C2×#88152C2211yescharacteristic
119C2×#88152C2211yescharacteristic
120C2×#88152C2211yescharacteristic
121C2×#88152C2211yescharacteristic
122C2×#88152C2211yescharacteristic
123C2×#88151C2211yescharacteristic
124C2×#88151C2211yescharacteristic
125C2×#88151C2211yescharacteristic
126C2×#88150C2211yescharacteristic
127C2×#88150C2211yescharacteristic
128C2×#88150C2211yescharacteristic
129C2×#88149C2211yescharacteristic
130C2×#88149C2211yescharacteristic
131C2×#88149C2211yescharacteristic
132C2×#88149C2211yescharacteristic
133C2×#88148C2211yescharacteristic
134C2×#88148C2211yescharacteristic
135C2×#88148C2211yescharacteristic
136C2×#88148C2211yescharacteristic
137C2×#88148C2211yescharacteristic
138C2×#88148C2211yescharacteristic
139C2×#88148C2211yescharacteristic
140C2×#88147C2211yescharacteristic
141C2×#88147C2211yescharacteristic
142C2×#88147C2211yescharacteristic
143C2×#88146C2211yescharacteristic
144C2×#88146C2211yescharacteristic
145C2×#88146C2211yescharacteristic
146C2×#88146C2211yescharacteristic
147C2×#88146C2211yescharacteristic
148C2×#88146C2211yescharacteristic
149C2×C4⋊C4×D13C2211yescharacteristic
150C2×C4⋊C4×D13C2211yescharacteristic
151C2×C4⋊C4×D13C2211yescharacteristic
152C2×C4⋊C4×D13C2211yescharacteristic
153C2×#88144C2211yescharacteristic
154C2×#88144C2211yescharacteristic
155C2×#88144C2211yescharacteristic
156C2×#88144C2211yescharacteristic
157C2×#88144C2211yescharacteristic
158C2×#88144C2211yescharacteristic
159C2×#88144C2211yescharacteristic
160C2×#88143C2211yescharacteristic
161C2×#88143C2211yescharacteristic
162C2×#88143C2211yescharacteristic
163C2×#88143C2211yescharacteristic
164C2×#88143C2211yescharacteristic
165C2×#88143C2211yescharacteristic
166C2×#88143C2211yescharacteristic
167C2×#88143C2211yescharacteristic
168C2×#88143C2211yescharacteristic
169C2×#88143C2211yescharacteristic
170C2×#88141C2211yescharacteristic
171C2×#88140C2211yescharacteristic
172C2×#88140C2211yescharacteristic
173C2×#88140C2211yescharacteristic
174C2×#88140C2211yescharacteristic
175C2×#88140C2211yescharacteristic
176C2×#88139C2211yescharacteristic
177C2×#88139C2211yescharacteristic
178C2×#88138C2211yescharacteristic
179C2×#88138C2211yescharacteristic
180C2×#88138C2211yescharacteristic
181C2×#88138C2211yescharacteristic
182C2×#88138C2211yescharacteristic
183C2×#88138C2211yescharacteristic
184C2×#88138C2211yescharacteristic
185C2×#88138C2211yescharacteristic
186C2×#88138C2211yescharacteristic
187C2×#88137C2211yescharacteristic
188C2×#88137C2211yescharacteristic
189C2×#88137C2211yescharacteristic
190C2×#88137C2211yescharacteristic
191C2×#88137C2211yescharacteristic
192C2×#88137C2211yescharacteristic
193C2×#88137C2211yescharacteristic
194C2×#88137C2211yescharacteristic
195C2×#88137C2211yescharacteristic
196C2×#88135C2211yescharacteristic
197C2×#88135C2211yescharacteristic
198C2×#88135C2211yescharacteristic
199C2×#88135C2211yescharacteristic
200C2×#88135C2211yescharacteristic
201C2×#88135C2211yescharacteristic
202C2×#88133C2211yescharacteristic
203C2×#88133C2211yescharacteristic
204C2×#88133C2211yescharacteristic
205C2×#88133C2211yescharacteristic
206C2×#88132C2211yescharacteristic
207C2×#88132C2211yescharacteristic
208C2×#88132C2211yescharacteristic
209C2×#88131C2211yescharacteristic
210C2×#88131C2211yescharacteristic
211C2×C4×D52C2211yescharacteristic
212C2×C4×D52C2211yescharacteristic
213C2×C4×D52C2211yescharacteristic
214C2×#88126C2211yescharacteristic
215C2×#88126C2211yescharacteristic
216C2×#88124C2211yescharacteristic
217C2×#88124C2211yescharacteristic
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
234C22×C22⋊D13C2311yescharacteristic
235C22×C22⋊D13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C23×Dic13C2311yescharacteristic
241C23×Dic13C2311yescharacteristic
242C23×Dic13C2311yescharacteristic
243C23×Dic13C2311yescharacteristic
244C22×D52C2311yescharacteristic
245C22×D52C2311yescharacteristic
246C22×D52C2311yescharacteristic
247C22×D52C2311yescharacteristic
248C22×D52C2311yescharacteristic
249C22×D52C2311yescharacteristic
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×C4×D13C2311yescharacteristic
260C22×C4×D13C2311yescharacteristic
261C22×C4×D13C2311yescharacteristic
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
313#88201C2318yes—
314#88200C2318yes—
315#88200C2318yes—
316Q8×Dic13C2318yes—
317#88194C2318yes—
318#88194C2318yes—
319#88193C2318yes—
320#88193C2318yes—
321#88193C2318yes—
322#88193C2318yes—
323#88193C2318yes—
324#88192C2318yes—
325#88192C2318yes—
326#88192C2318yes—
327#88189C2318yes—
328D4×Dic13C2318yes—
329#88184C2318yes—
330#88184C2318yes—
331#88184C2318yes—
332#88184C2318yes—
333#88184C2318yes—
334#88183C2318yes—
335#88183C2318yes—
336#88183C2318yes—
337#88183C2318yes—
338C4×C22⋊D13C2318yes—
339C4×C22⋊D13C2318yes—
340C4×C22⋊D13C2318yes—
341C4×C22⋊D13C2318yes—
342C4×C22⋊D13C2318yes—
343C4×C22⋊D13C2318yes—
344C2×#6103C2311yescharacteristic
345C2×#6103C2311yescharacteristic
346C2×#6103C2311yescharacteristic
347C2×#6103C2311yescharacteristic
348C2×#6103C2311yescharacteristic
349C2×#6103C2311yescharacteristic
350C2×#6103C2311yescharacteristic
351C2×#6103C2311yescharacteristic
352C2×#6103C2311yescharacteristic
353C2×#6103C2311yescharacteristic
354C2×#6103C2311yescharacteristic
355C2×#6103C2311yescharacteristic
356C2×#6103C2311yescharacteristic
357C2×#6103C2311yescharacteristic
358C2×#6103C2311yescharacteristic
359C2×#6103C2311yescharacteristic
360C2×#6103C2311yescharacteristic
361C2×#6103C2311yescharacteristic
362C2×#6103C2311yescharacteristic
363C2×#6103C2311yescharacteristic
364C2×#6103C2311yescharacteristic
365C2×#6103C2311yescharacteristic
366C2×#6103C2311yescharacteristic
367C2×#6103C2311yescharacteristic
368#88180C2318yes—
369#88180C2318yes—
370C2×C4⋊Dic13C2311yescharacteristic
371C2×C4⋊Dic13C2311yescharacteristic
372C2×C4⋊Dic13C2311yescharacteristic
373C2×C4⋊Dic13C2311yescharacteristic
374C2×C4⋊Dic13C2311yescharacteristic
375C2×C4⋊Dic13C2311yescharacteristic
376C2×C4⋊Dic13C2311yescharacteristic
377C2×C4⋊Dic13C2311yescharacteristic
378C2×C4⋊Dic13C2311yescharacteristic
379C2×C4⋊Dic13C2311yescharacteristic
380C2×C4⋊Dic13C2311yescharacteristic
381C2×C4⋊Dic13C2311yescharacteristic
382C2×C4⋊Dic13C2311yescharacteristic
383C2×C4⋊Dic13C2311yescharacteristic
384C2×C4⋊Dic13C2311yescharacteristic
385C2×C4⋊Dic13C2311yescharacteristic
386C2×C4⋊Dic13C2318yes—
387#88178C2318yes—
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×#6101C2311yescharacteristic
404C2×#6101C2311yescharacteristic
405C2×#6101C2311yescharacteristic
406C2×#6101C2311yescharacteristic
407C2×#6101C2311yescharacteristic
408C2×#6101C2311yescharacteristic
409C2×#6101C2311yescharacteristic
410C2×#6101C2311yescharacteristic
411C2×#6101C2311yescharacteristic
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×Dic13C2318yes—
425#88152C2318yes—
426#88152C2318yes—
427#88152C2318yes—
428#88152C2318yes—
429#88152C2318yes—
430#88152C2318yes—
431#88152C2318yes—
432#88152C2318yes—
433#88151C2318yes—
434#88151C2318yes—
435#88151C2318yes—
436#88150C2318yes—
437#88150C2318yes—
438#88150C2318yes—
439#88149C2318yes—
440#88149C2318yes—
441#88149C2318yes—
442#88149C2318yes—
443#88148C2318yes—
444#88148C2318yes—
445#88148C2318yes—
446#88148C2318yes—
447#88148C2318yes—
448#88148C2318yes—
449#88148C2318yes—
450#88147C2318yes—
451#88147C2318yes—
452#88147C2318yes—
453#88146C2318yes—
454#88146C2318yes—
455#88146C2318yes—
456#88146C2318yes—
457#88146C2318yes—
458#88146C2318yes—
459C4⋊C4×D13C2318yes—
460C4⋊C4×D13C2318yes—
461C4⋊C4×D13C2318yes—
462C4⋊C4×D13C2318yes—
463#88144C2318yes—
464#88144C2318yes—
465#88144C2318yes—
466#88144C2318yes—
467#88144C2318yes—
468#88144C2318yes—
469#88144C2318yes—
470#88143C2318yes—
471#88143C2318yes—
472#88143C2318yes—
473#88143C2318yes—
474#88143C2318yes—
475#88143C2318yes—
476#88143C2318yes—
477#88143C2318yes—
478#88143C2318yes—
479#88143C2318yes—
480#88141C2318yes—
481#88140C2318yes—
482#88140C2318yes—
483#88140C2318yes—
484#88140C2318yes—
485#88140C2318yes—
486#88139C2318yes—
487#88139C2318yes—
488#88138C2318yes—
489#88138C2318yes—
490#88138C2318yes—
491#88138C2318yes—
492#88138C2318yes—
493#88138C2318yes—
494#88138C2318yes—
495#88138C2318yes—
496#88138C2318yes—
497#88137C2318yes—
498#88137C2318yes—
499#88137C2318yes—
500#88137C2318yes—
501#88137C2318yes—
502#88137C2318yes—
503#88137C2318yes—
504#88137C2318yes—
505#88137C2318yes—
506#88135C2318yes—
507#88135C2318yes—
508#88135C2318yes—
509#88135C2318yes—
510#88135C2318yes—
511#88135C2318yes—
512#88133C2318yes—
513#88133C2318yes—
514#88133C2318yes—
515#88133C2318yes—
516#88132C2318yes—
517#88132C2318yes—
518#88132C2318yes—
519#88131C2318yes—
520#88131C2318yes—
521C4×D52C2318yes—
522C4×D52C2318yes—
523C4×D52C2318yes—
524#88126C2318yes—
525#88126C2318yes—
526#88124C2318yes—
527#88124C2318yes—
528C4×Dic26C2318yes—
529C2×#3567—131nomaximal, Sylow
530C24×C13C2411yescharacteristic
531C24×C13C2411yescharacteristic
532C24×C13C2411yescharacteristic
533C23×D13C2411yescharacteristic
534C23×D13C2411yescharacteristic
535C23×D13C2411yescharacteristic
536C23×D13C2411yescharacteristic
537C2×Q8×C13—42no—
538C2×Q8×C13C2414yes—
539C2×D4×C13—42no—
540C2×D4×C13—42no—
541C2×D4×C13—42no—
542C2×D4×C13C2414yes—
543C2×D4×C13C2414yes—
544C2×D4×C13C2414yes—
545C22×C4×C13—42no—
546C22×C4×C13—42no—
547C22×C4×C13—42no—
548C22×C4×C13—42no—
549C22×C4×C13—42no—
550C22×C4×C13C2411yescharacteristic
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×C13C2414yes—
563C22×C4×C13C2414yes—
564C22×C4×C13C2414yes—
565C22×C4×C13C2414yes—
566C22×C4×C13C2414yes—
567C2×C22⋊D13—42no—
568C2×C22⋊D13—42no—
569C2×C22⋊D13—42no—
570C2×C22⋊D13—42no—
571C2×C22⋊D13—42no—
572C2×C22⋊D13—42no—
573C2×C22⋊D13—42no—
574C2×C22⋊D13—42no—
575C2×C22⋊D13—42no—
576C2×C22⋊D13—42no—
577C2×C22⋊D13—42no—
578C2×C22⋊D13—42no—
579C2×C22⋊D13C2414yes—
580C2×C22⋊D13C2414yes—
581C2×C22⋊D13C2414yes—
582C2×C22⋊D13C2414yes—
583C2×C22⋊D13C2414yes—
584C2×C22⋊D13C2414yes—
585C2×C22⋊D13C2414yes—
586C2×C22⋊D13C2414yes—
587C2×C22⋊D13C2414yes—
588C2×C22⋊D13C2414yes—
589C2×C22⋊D13C2414yes—
590C2×C22⋊D13C2414yes—
591C22×Dic13—42no—
592C22×Dic13—42no—
593C22×Dic13—42no—
594C22×Dic13—42no—
595C22×Dic13C2411yescharacteristic
596C22×Dic13C2411yescharacteristic
597C22×Dic13C2411yescharacteristic
598C22×Dic13C2411yescharacteristic
599C22×Dic13C2411yescharacteristic
600C22×Dic13C2411yescharacteristic
601C22×Dic13C2411yescharacteristic
602C22×Dic13C2411yescharacteristic
603C22×Dic13C2411yescharacteristic
604C22×Dic13C2411yescharacteristic
605C22×Dic13C2411yescharacteristic
606C22×Dic13C2411yescharacteristic
607C22×Dic13C2414yes—
608C22×Dic13C2414yes—
609C22×Dic13C2414yes—
610C22×Dic13C2414yes—
611C2×D52—42no—
612C2×D52—42no—
613C2×D52—42no—
614C2×D52—42no—
615C2×D52—42no—
616C2×D52—42no—
617C2×D52C2414yes—
618C2×D52C2414yes—
619C2×D52C2414yes—
620C2×D52C2414yes—
621C2×D52C2414yes—
622C2×D52C2414yes—
623C2×C4×D13—42no—
624C2×C4×D13—42no—
625C2×C4×D13—42no—
626C2×C4×D13—42no—
627C2×C4×D13—42no—
628C2×C4×D13—42no—
629C2×C4×D13—42no—
630C2×C4×D13—42no—
631C2×C4×D13—42no—
632C2×C4×D13—42no—
633C2×C4×D13—42no—
634C2×C4×D13—42no—
635C2×C4×D13C2414yes—
636C2×C4×D13C2414yes—
637C2×C4×D13C2414yes—
638C2×C4×D13C2414yes—
639C2×C4×D13C2414yes—
640C2×C4×D13C2414yes—
641C2×C4×D13C2414yes—
642C2×C4×D13C2414yes—
643C2×C4×D13C2414yes—
644C2×C4×D13C2414yes—
645C2×C4×D13C2414yes—
646C2×C4×D13C2414yes—
647C2×Dic26—42no—
648C2×Dic26—42no—
649C2×Dic26C2414yes—
650C2×Dic26C2414yes—
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×C4⋊C4C2414yes—
660C13×C4⋊C4C2414yes—
661C13×C4⋊C4C2414yes—
662C13×C4⋊C4C2414yes—
663C13×C4⋊C4C2414yes—
664C13×C4⋊C4C2414yes—
665C13×C22⋊C4C2414yes—
666C13×C22⋊C4C2414yes—
667C13×C22⋊C4C2414yes—
668C13×C22⋊C4C2414yes—
669C13×C22⋊C4C2414yes—
670C13×C22⋊C4C2414yes—
671C13×C22⋊C4C2414yes—
672C13×C22⋊C4C2414yes—
673C13×C22⋊C4C2414yes—
674C13×C22⋊C4C2414yes—
675C42×C13C2414yes—
676C42×C13C2414yes—
677C22⋊Dic13C2414yes—
678C22⋊Dic13C2414yes—
679C22⋊Dic13C2414yes—
680C22⋊Dic13C2414yes—
681C22⋊Dic13C2414yes—
682C22⋊Dic13C2414yes—
683C22⋊Dic13C2414yes—
684C22⋊Dic13C2414yes—
685#6103C2414yes—
686#6103C2414yes—
687#6103C2414yes—
688#6103C2414yes—
689#6103C2414yes—
690#6103C2414yes—
691#6103C2414yes—
692#6103C2414yes—
693#6103C2414yes—
694#6103C2414yes—
695#6103C2414yes—
696#6103C2414yes—
697#6103C2414yes—
698#6103C2414yes—
699#6103C2414yes—
700#6103C2414yes—
701#6103C2414yes—
702#6103C2414yes—
703#6103C2414yes—
704#6103C2414yes—
705#6103C2414yes—
706#6103C2414yes—
707#6103C2414yes—
708#6103C2414yes—
709C4⋊Dic13C2414yes—
710C4⋊Dic13C2414yes—
711C4⋊Dic13C2414yes—
712C4⋊Dic13C2414yes—
713C4⋊Dic13C2414yes—
714C4⋊Dic13C2414yes—
715C4⋊Dic13C2414yes—
716C4⋊Dic13C2414yes—
717C4⋊Dic13C2414yes—
718C4⋊Dic13C2414yes—
719C4⋊Dic13C2414yes—
720C4⋊Dic13C2414yes—
721C4⋊Dic13C2414yes—
722C4⋊Dic13C2414yes—
723C4⋊Dic13C2414yes—
724C4⋊Dic13C2414yes—
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—
743#6101C2414yes—
744#6101C2414yes—
745#6101C2414yes—
746#6101C2414yes—
747#6101C2414yes—
748#6101C2414yes—
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#3567—1332no—
762C2×#564—131no—
763C2×#562—131no—
764C2×#562—131no—
765C2×#562—131no—
766C2×#553—131no—
767C2×#553—131no—
768C2×#553—131no—
769C2×#553—131no—
770C2×#553—131no—
771C2×#553—131no—
772C2×#552—131no—
773C2×#552—131no—
774C2×#552—131no—
775C2×#552—131no—
776C2×#552—131no—
777C2×#552—131no—
778C2×#540—131no—
779C2×#540—131no—
780C2×#540—131no—
781C2×#540—131no—
782C2×#540—131no—
783C2×#540—131no—
784C2×#539—131no—
785C2×#539—131no—
786C2×#539—131no—
787C2×#539—131no—
788C2×#539—131no—
789C2×#539D1311yescharacteristic, complemented
790C2×#529—131no—
791C2×#529—131no—
792C2×#529—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×C13—22no—
802C23×C13C2512yes—
803C23×C13C2512yes—
804C23×C13C2512yes—
805C23×C13C2511yescharacteristic
806C22×D13—22no—
807C22×D13—22no—
808C22×D13—22no—
809C22×D13—22no—
810C22×D13—22no—
811C22×D13—22no—
812C22×D13—22no—
813C22×D13—22no—
814C22×D13—22no—
815C22×D13—22no—
816C22×D13—22no—
817C22×D13—22no—
818C22×D13C2512yes—
819C22×D13C2512yes—
820C22×D13C2512yes—
821C22×D13C2512yes—
822Q8×C13—44no—
823D4×C13—44no—
824D4×C13—44no—
825D4×C13—44no—
826C2×C4×C13—22no—
827C2×C4×C13—22no—
828C2×C4×C13—22no—
829C2×C4×C13—22no—
830C2×C4×C13—22no—
831C2×C4×C13—22no—
832C2×C4×C13—22no—
833C2×C4×C13—22no—
834C2×C4×C13—22no—
835C2×C4×C13—22no—
836C2×C4×C13—22no—
837C2×C4×C13—22no—
838C2×C4×C13—44no—
839C2×C4×C13—44no—
840C2×C4×C13—44no—
841C2×C4×C13—44no—
842C2×C4×C13—44no—
843C2×C4×C13C2512yes—
844C2×C4×C13C2512yes—
845C2×C4×C13C2512yes—
846C2×C4×C13C2512yes—
847C2×C4×C13C2512yes—
848C2×C4×C13C2512yes—
849C2×C4×C13C2512yes—
850C2×C4×C13C2512yes—
851C2×C4×C13C2512yes—
852C2×C4×C13C2512yes—
853C2×C4×C13C2512yes—
854C2×C4×C13C2512yes—
855C22⋊D13—44no—
856C22⋊D13—44no—
857C22⋊D13—44no—
858C22⋊D13—44no—
859C22⋊D13—44no—
860C22⋊D13—44no—
861C22⋊D13—44no—
862C22⋊D13—44no—
863C22⋊D13—44no—
864C22⋊D13—44no—
865C22⋊D13—44no—
866C22⋊D13—44no—
867C2×Dic13—22no—
868C2×Dic13—22no—
869C2×Dic13—22no—
870C2×Dic13—22no—
871C2×Dic13—22no—
872C2×Dic13—22no—
873C2×Dic13—22no—
874C2×Dic13—22no—
875C2×Dic13—22no—
876C2×Dic13—22no—
877C2×Dic13—22no—
878C2×Dic13—22no—
879C2×Dic13—44no—
880C2×Dic13—44no—
881C2×Dic13—44no—
882C2×Dic13—44no—
883C2×Dic13C2512yes—
884C2×Dic13C2512yes—
885C2×Dic13C2512yes—
886C2×Dic13C2512yes—
887C2×Dic13C2512yes—
888C2×Dic13C2512yes—
889C2×Dic13C2512yes—
890C2×Dic13C2512yes—
891C2×Dic13C2512yes—
892C2×Dic13C2512yes—
893C2×Dic13C2512yes—
894C2×Dic13C2512yes—
895D52—44no—
896D52—44no—
897D52—44no—
898D52—44no—
899D52—44no—
900D52—44no—
901C4×D13—44no—
902C4×D13—44no—
903C4×D13—44no—
904C4×D13—44no—
905C4×D13—44no—
906C4×D13—44no—
907C4×D13—44no—
908C4×D13—44no—
909C4×D13—44no—
910C4×D13—44no—
911C4×D13—44no—
912C4×D13—44no—
913Dic26—44no—
914Dic26—44no—
915#564—1316no—
916#562—1316no—
917#562—1316no—
918#562—1316no—
919#553—1316no—
920#553—1316no—
921#553—1316no—
922#553—1316no—
923#553—1316no—
924#553—1316no—
925#552—1316no—
926#552—1316no—
927#552—1316no—
928#552—1316no—
929#552—1316no—
930#552—1316no—
931#540—1316no—
932#540—1316no—
933#540—1316no—
934#540—1316no—
935#540—1316no—
936#540—1316no—
937#539—1316no—
938#539—1316no—
939#539—1316no—
940#539—1316no—
941#539—1316no—
942#539C2×D13116yescomplemented
943C2×#127—131no—
944C2×#127—131no—
945#529—1316no—
946#529—1316no—
947#529—1316no—
948C2×#126—131no—
949C2×#126—131no—
950C2×#126—131no—
951C2×#126—131no—
952C2×#126—131no—
953C2×#126—131no—
954C2×#126—131no—
955C2×#126—131no—
956C2×#126—131no—
957C2×#126—131no—
958C2×#126—131no—
959C2×#126—131no—
960C2×#126C2×D1311yescharacteristic
961C2×#126C2×D1311yescharacteristic
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—131no—
971C2×#125—131no—
972C2×#125—131no—
973C2×#125—131no—
974C2×#125—131no—
975C2×#125—131no—
976C2×#125—131no—
977C2×#125—131no—
978C2×#125—131no—
979C2×#125—131no—
980C2×#125—131no—
981C2×#125C2×D1311yescharacteristic
982C2×#125C2×D1311yescharacteristic
983C2×#124—131no—
984C2×#124—131no—
985C2×#124—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×#123—131no—
995C2×#123—131no—
996C2×#123—131no—
997C2×#123—131no—
998C2×#123—131no—
999C2×#123—131no—
1000C2×#123—131no—
1001C2×#123—131no—
1002C2×#123—131no—
1003C2×#123—131no—
1004C2×#123—131no—
1005C2×#123—131no—
1006C2×#123—131no—
1007C2×#123—131no—
1008C2×#123—131no—
1009C2×#123—131no—
1010C2×#123—131no—
1011C2×#123—131no—
1012C2×#123C2×D1311yescharacteristic
1013C2×#123C2×D1311yescharacteristic
1014C2×#123C2×D1311yescharacteristic
1015C2×#123C2×D1311yescharacteristic
1016C2×C22⋊Q8—131no—
1017C2×C22⋊Q8—131no—
1018C2×C22⋊Q8—131no—
1019C2×C22⋊Q8—131no—
1020C2×C22⋊Q8—131no—
1021C2×C22⋊Q8—131no—
1022C2×C22⋊Q8—131no—
1023C2×C22⋊Q8—131no—
1024C2×C22⋊Q8—131no—
1025C2×C22⋊Q8—131no—
1026C2×C22⋊Q8—131no—
1027C2×C22⋊Q8—131no—
1028C2×C22⋊Q8C2×D1311yescharacteristic
1029C2×C22⋊Q8C2×D1311yescharacteristic
1030C2×C22⋊Q8C2×D1311yescharacteristic
1031C2×#121—131no—
1032C2×#121—131no—
1033C2×#121—131no—
1034C2×#121—131no—
1035C2×#121—131no—
1036C2×#121—131no—
1037C2×#121—131no—
1038C2×#121—131no—
1039C2×#121—131no—
1040C2×#121—131no—
1041C2×#121—131no—
1042C2×#121—131no—
1043C2×#121—131no—
1044C2×#121—131no—
1045C2×#121—131no—
1046C2×#121—131no—
1047C2×#121—131no—
1048C2×#121—131no—
1049C2×#121—131no—
1050C2×#121—131no—
1051C2×#121—131no—
1052C2×#121—131no—
1053C2×#121—131no—
1054C2×#121—131no—
1055C2×#121—131no—
1056C2×#121—131no—
1057C2×#121C2×D1311yescharacteristic
1058C2×C4×Q8—131no—
1059C2×C4×Q8—131no—
1060C2×C4×Q8—131no—
1061C2×C4×D4—131no—
1062C2×C4×D4—131no—
1063C2×C4×D4—131no—
1064C2×C4×D4—131no—
1065C2×C4×D4—131no—
1066C2×C4×D4—131no—
1067C2×C4×D4—131no—
1068C2×C4×D4—131no—
1069C2×C4×D4—131no—
1070C2×C4×D4—131no—
1071C2×C4×D4—131no—
1072C2×C4×D4—131no—
1073C2×C4×D4—131no—
1074C2×C4×D4—131no—
1075C2×C4×D4—131no—
1076C2×C4×D4—131no—
1077C2×C4×D4—131no—
1078C2×C4×D4—131no—
1079C2×C4×D4—131no—
1080C2×C4×D4C2×D1311yescharacteristic
1081C2×C4×D4C2×D1311yescharacteristic
1082C2×#117—131no—
1083C2×#117—131no—
1084C2×#117—131no—
1085C2×#117—131no—
1086C2×#117—131no—
1087C2×#117—131no—
1088C2×#117—131no—
1089C2×#117—131no—
1090C2×#117—131no—
1091C2×#117—131no—
1092C2×#117—131no—
1093C2×#117—131no—
1094C22×C4⋊C4—131no—
1095C22×C4⋊C4—131no—
1096C22×C4⋊C4—131no—
1097C22×C4⋊C4—131no—
1098C22×C4⋊C4—131no—
1099C22×C4⋊C4C2×D1311yescharacteristic
1100C22×C42—131no—
1101C22×C13—22no—
1102C22×C13—22no—
1103C22×C13—22no—
1104C22×C13—22no—
1105C22×C13—22no—
1106C22×C13—22no—
1107C22×C13—22no—
1108C22×C13—22no—
1109C22×C13—22no—
1110C22×C13—44no—
1111C22×C13—44no—
1112C22×C13—44no—
1113C22×C13#58512yes—
1114C22×C13#58512yes—
1115C22×C13#58512yes—
1116C22×C13C2611yescharacteristic
1117C2×D13—22no—
1118C2×D13—22no—
1119C2×D13—22no—
1120C2×D13—22no—
1121C2×D13—22no—
1122C2×D13—22no—
1123C2×D13—22no—
1124C2×D13—22no—
1125C2×D13—22no—
1126C2×D13—22no—
1127C2×D13—22no—
1128C2×D13—22no—
1129C2×D13—44no—
1130C2×D13—44no—
1131C2×D13—44no—
1132C2×D13—44no—
1133C4×C13—22no—
1134C4×C13—22no—
1135C4×C13—22no—
1136C4×C13—22no—
1137C4×C13—22no—
1138C4×C13—22no—
1139C4×C13—22no—
1140C4×C13—22no—
1141C4×C13—22no—
1142C4×C13—22no—
1143C4×C13—22no—
1144C4×C13—22no—
1145Dic13—22no—
1146Dic13—22no—
1147Dic13—22no—
1148Dic13—22no—
1149Dic13—22no—
1150Dic13—22no—
1151Dic13—22no—
1152Dic13—22no—
1153Dic13—22no—
1154Dic13—22no—
1155Dic13—22no—
1156Dic13—22no—
1157C22×Q8—131no—
1158C22×Q8—131no—
1159C22×Q8C22×D1311yescharacteristic
1160C22×D4—131no—
1161C22×D4—131no—
1162C22×D4—131no—
1163C22×D4—131no—
1164C22×D4—131no—
1165C22×D4—131no—
1166C22×D4—131no—
1167C22×D4—131no—
1168C22×D4—131no—
1169C22×D4—131no—
1170C22×D4—131no—
1171C22×D4—131no—
1172C22×D4—131no—
1173C22×D4—131no—
1174C22×D4—131no—
1175C22×D4—131no—
1176C22×D4—131no—
1177C22×D4—131no—
1178C22×D4C22×D1311yescharacteristic
1179C22×D4C22×D1311yescharacteristic
1180C22×D4C22×D1311yescharacteristic
1181C23×C4—131no—
1182C23×C4—131no—
1183C23×C4—131no—
1184C23×C4—131no—
1185C23×C4—131no—
1186C23×C4—131no—
1187C23×C4—131no—
1188C23×C4—131no—
1189C23×C4—131no—
1190C23×C4—131no—
1191C23×C4—131no—
1192C23×C4—131no—
1193C23×C4—131no—
1194C23×C4—131no—
1195C23×C4—131no—
1196C23×C4—131no—
1197C23×C4C22×D1311yescharacteristic
1198C23×C4C22×D1311yescharacteristic
1199C23×C4C22×D1311yescharacteristic
1200C23×C4C22×D1311yescharacteristic
1201C23×C4C22×D1311yescharacteristic
1202#127—138no—
1203#127—138no—
1204#126—138no—
1205#126—138no—
1206#126—138no—
1207#126—138no—
1208#126—138no—
1209#126—138no—
1210#126—138no—
1211#126—138no—
1212#126—138no—
1213#126—138no—
1214#126—138no—
1215#126—138no—
1216#126C22×D1318yes—
1217#126C22×D1318yes—
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#125—138no—
1228#125—138no—
1229#125—138no—
1230#125—138no—
1231#125—138no—
1232#125—138no—
1233#125—138no—
1234#125—138no—
1235#125—138no—
1236#125—138no—
1237#125C22×D1318yes—
1238#125C22×D1318yes—
1239#124—138no—
1240#124—138no—
1241#124—138no—
1242#123—138no—
1243#123—138no—
1244#123—138no—
1245#123—138no—
1246#123—138no—
1247#123—138no—
1248#123—138no—
1249#123—138no—
1250#123—138no—
1251#123—138no—
1252#123—138no—
1253#123—138no—
1254#123—138no—
1255#123—138no—
1256#123—138no—
1257#123—138no—
1258#123—138no—
1259#123—138no—
1260#123—138no—
1261#123—138no—
1262#123—138no—
1263#123—138no—
1264#123—138no—
1265#123—138no—
1266#123—138no—
1267#123—138no—
1268#123C22×D1318yes—
1269#123C22×D1318yes—
1270#123C22×D1318yes—
1271#123C22×D1318yes—
1272C22⋊Q8—138no—
1273C22⋊Q8—138no—
1274C22⋊Q8—138no—
1275C22⋊Q8—138no—
1276C22⋊Q8—138no—
1277C22⋊Q8—138no—
1278C22⋊Q8—138no—
1279C22⋊Q8—138no—
1280C22⋊Q8—138no—
1281C22⋊Q8—138no—
1282C22⋊Q8—138no—
1283C22⋊Q8—138no—
1284C22⋊Q8C22×D1318yes—
1285C22⋊Q8C22×D1318yes—
1286C22⋊Q8C22×D1318yes—
1287#121—138no—
1288#121—138no—
1289#121—138no—
1290#121—138no—
1291#121—138no—
1292#121—138no—
1293#121—138no—
1294#121—138no—
1295#121—138no—
1296#121—138no—
1297#121—138no—
1298#121—138no—
1299#121—138no—
1300#121—138no—
1301#121—138no—
1302#121—138no—
1303#121—138no—
1304#121—138no—
1305#121—138no—
1306#121—138no—
1307#121—138no—
1308#121—138no—
1309#121—138no—
1310#121—138no—
1311#121—138no—
1312#121—138no—
1313#121C22×D1318yes—
1314C4×Q8—138no—
1315C4×Q8—138no—
1316C4×Q8—138no—
1317C4×D4—138no—
1318C4×D4—138no—
1319C4×D4—138no—
1320C4×D4—138no—
1321C4×D4—138no—
1322C4×D4—138no—
1323C4×D4—138no—
1324C4×D4—138no—
1325C4×D4—138no—
1326C4×D4—138no—
1327C4×D4—138no—
1328C4×D4—138no—
1329C4×D4—138no—
1330C4×D4—138no—
1331C4×D4—138no—
1332C4×D4—138no—
1333C4×D4—138no—
1334C4×D4—138no—
1335C4×D4—138no—
1336C4×D4C22×D1318yes—
1337C4×D4C22×D1318yes—
1338#117—138no—
1339#117—138no—
1340#117—138no—
1341#117—138no—
1342#117—138no—
1343#117—138no—
1344#117—138no—
1345#117—138no—
1346#117—138no—
1347#117—138no—
1348#117—138no—
1349#117—138no—
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—131no—
1360C2×C4⋊C4—131no—
1361C2×C4⋊C4—131no—
1362C2×C4⋊C4—131no—
1363C2×C4⋊C4—131no—
1364C2×C4⋊C4—131no—
1365C2×C4⋊C4—131no—
1366C2×C4⋊C4—138no—
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—131no—
1378C2×C4⋊C4—131no—
1379C2×C4⋊C4—131no—
1380C2×C4⋊C4—131no—
1381C2×C4⋊C4—131no—
1382C2×C4⋊C4—131no—
1383C2×C4⋊C4—131no—
1384C2×C4⋊C4—131no—
1385C2×C4⋊C4—131no—
1386C2×C4⋊C4—131no—
1387C2×C4⋊C4—131no—
1388C2×C4⋊C4—131no—
1389C2×C4⋊C4—131no—
1390C2×C4⋊C4—131no—
1391C2×C4⋊C4—138no—
1392C2×C4⋊C4—138no—
1393C2×C4⋊C4—138no—
1394C2×C4⋊C4—138no—
1395C2×C4⋊C4C22×D1311yescharacteristic
1396C2×C4⋊C4C22×D1311yescharacteristic
1397C2×C4⋊C4C22×D1311yescharacteristic
1398C2×C4⋊C4C22×D1311yescharacteristic
1399C2×C4⋊C4C22×D1311yescharacteristic
1400C2×C4⋊C4C22×D1311yescharacteristic
1401C2×C4⋊C4C22×D1311yescharacteristic
1402C2×C4⋊C4C22×D1311yescharacteristic
1403C2×C4⋊C4C22×D1318yes—
1404C2×C4⋊C4C22×D1311yescharacteristic
1405C2×C4⋊C4C22×D1311yescharacteristic
1406C2×C4⋊C4C22×D1311yescharacteristic
1407C2×C4⋊C4C22×D1311yescharacteristic
1408C2×C4⋊C4C22×D1311yescharacteristic
1409C2×C4⋊C4C22×D1311yescharacteristic
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⋊C4—131no—
1422C2×C22⋊C4—131no—
1423C2×C22⋊C4—131no—
1424C2×C22⋊C4—131no—
1425C2×C22⋊C4—131no—
1426C2×C22⋊C4—131no—
1427C2×C22⋊C4—131no—
1428C2×C22⋊C4—131no—
1429C2×C22⋊C4—131no—
1430C2×C22⋊C4—131no—
1431C2×C22⋊C4—131no—
1432C2×C22⋊C4—131no—
1433C2×C22⋊C4—131no—
1434C2×C22⋊C4—131no—
1435C2×C22⋊C4—131no—
1436C2×C22⋊C4—131no—
1437C2×C22⋊C4—131no—
1438C2×C22⋊C4—131no—
1439C2×C22⋊C4—131no—
1440C2×C22⋊C4—131no—
1441C2×C22⋊C4—131no—
1442C2×C22⋊C4C22×D1311yescharacteristic
1443C2×C22⋊C4C22×D1311yescharacteristic
1444C2×C22⋊C4C22×D1311yescharacteristic
1445C2×C22⋊C4C22×D1311yescharacteristic
1446C2×C22⋊C4C22×D1311yescharacteristic
1447C2×C22⋊C4C22×D1311yescharacteristic
1448C2×C22⋊C4C22×D1311yescharacteristic
1449C2×C22⋊C4C22×D1311yescharacteristic
1450C2×C22⋊C4C22×D1311yescharacteristic
1451C2×C22⋊C4C22×D1311yescharacteristic
1452C2×C42—131no—
1453C2×C42—131no—
1454C2×C42—131no—
1455C2×C42—131no—
1456C2×C42—131no—
1457C2×C42—131no—
1458C2×C42—131no—
1459C2×C42—131no—
1460C2×C42—131no—
1461C2×C42—131no—
1462C2×C42—131no—
1463C2×C42—131no—
1464C2×C42—138no—
1465C2×C42C22×D1311yescharacteristic
1466C2×C42C22×D1311yescharacteristic
1467C2×C13—42no—
1468C2×C13—42no—
1469C2×C13—42no—
1470C2×C13#356714yescomplemented
1471C2×C13C2×#58511yescharacteristic
1472C2×C13C2×#58511yescharacteristic
1473C2×C13C2×#58511yescharacteristic
1474D13—42no—
1475D13—42no—
1476D13—42no—
1477D13—42no—
1478C24—131no—
1479C24—131no—
1480C24—131no—
1481C24—131no—
1482C24C23×D1311yescharacteristic
1483C24C23×D1311yescharacteristic
1484C24C23×D1311yescharacteristic
1485C2×Q8—42no—
1486C2×Q8—134no—
1487C2×Q8—134no—
1488C2×Q8—522no—
1489C2×Q8—522no—
1490C2×Q8C23×D1314yes—
1491C2×D4—42no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—134no—
1495C2×D4—134no—
1496C2×D4—134no—
1497C2×D4—134no—
1498C2×D4—134no—
1499C2×D4—134no—
1500C2×D4—134no—
1501C2×D4—134no—
1502C2×D4—134no—
1503C2×D4—134no—
1504C2×D4—134no—
1505C2×D4—134no—
1506C2×D4—134no—
1507C2×D4—134no—
1508C2×D4—134no—
1509C2×D4—134no—
1510C2×D4—134no—
1511C2×D4—134no—
1512C2×D4—522no—
1513C2×D4—522no—
1514C2×D4—522no—
1515C2×D4—522no—
1516C2×D4—522no—
1517C2×D4—522no—
1518C2×D4—522no—
1519C2×D4—522no—
1520C2×D4—522no—
1521C2×D4—522no—
1522C2×D4—522no—
1523C2×D4—522no—
1524C2×D4—522no—
1525C2×D4—522no—
1526C2×D4—522no—
1527C2×D4—522no—
1528C2×D4—522no—
1529C2×D4—522no—
1530C2×D4C23×D1314yes—
1531C2×D4C23×D1314yes—
1532C2×D4C23×D1314yes—
1533C22×C4—42no—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—131no—
1539C22×C4—131no—
1540C22×C4—131no—
1541C22×C4—131no—
1542C22×C4—131no—
1543C22×C4—131no—
1544C22×C4—131no—
1545C22×C4—131no—
1546C22×C4—131no—
1547C22×C4—131no—
1548C22×C4—131no—
1549C22×C4—131no—
1550C22×C4—134no—
1551C22×C4—134no—
1552C22×C4—134no—
1553C22×C4—134no—
1554C22×C4—134no—
1555C22×C4—134no—
1556C22×C4—134no—
1557C22×C4—134no—
1558C22×C4—134no—
1559C22×C4—134no—
1560C22×C4—134no—
1561C22×C4—134no—
1562C22×C4—134no—
1563C22×C4—134no—
1564C22×C4—134no—
1565C22×C4—134no—
1566C22×C4—522no—
1567C22×C4—522no—
1568C22×C4—522no—
1569C22×C4—522no—
1570C22×C4—522no—
1571C22×C4—522no—
1572C22×C4—522no—
1573C22×C4—522no—
1574C22×C4—522no—
1575C22×C4—522no—
1576C22×C4—522no—
1577C22×C4—522no—
1578C22×C4—522no—
1579C22×C4—522no—
1580C22×C4—522no—
1581C22×C4—522no—
1582C22×C4C23×D1311yescharacteristic
1583C22×C4C23×D1311yescharacteristic
1584C22×C4C23×D1311yescharacteristic
1585C22×C4C23×D1311yescharacteristic
1586C22×C4C23×D1311yescharacteristic
1587C22×C4C23×D1311yescharacteristic
1588C22×C4C23×D1311yescharacteristic
1589C22×C4C23×D1311yescharacteristic
1590C22×C4C23×D1311yescharacteristic
1591C22×C4C23×D1311yescharacteristic
1592C22×C4C23×D1311yescharacteristic
1593C22×C4C23×D1311yescharacteristic
1594C22×C4C23×D1314yes—
1595C22×C4C23×D1314yes—
1596C22×C4C23×D1314yes—
1597C22×C4C23×D1314yes—
1598C22×C4C23×D1314yes—
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⋊C4—134no—
1626C4⋊C4—134no—
1627C4⋊C4—134no—
1628C4⋊C4—134no—
1629C4⋊C4—134no—
1630C4⋊C4—134no—
1631C4⋊C4—134no—
1632C4⋊C4—134no—
1633C4⋊C4—134no—
1634C4⋊C4—134no—
1635C4⋊C4—134no—
1636C4⋊C4—134no—
1637C4⋊C4—134no—
1638C4⋊C4—134no—
1639C4⋊C4C23×D1314yes—
1640C4⋊C4C23×D1314yes—
1641C4⋊C4C23×D1314yes—
1642C4⋊C4C23×D1314yes—
1643C4⋊C4C23×D1314yes—
1644C4⋊C4C23×D1314yes—
1645C4⋊C4C23×D1314yes—
1646C4⋊C4C23×D1314yes—
1647C4⋊C4C23×D1314yes—
1648C4⋊C4C23×D1314yes—
1649C4⋊C4C23×D1314yes—
1650C4⋊C4C23×D1314yes—
1651C4⋊C4C23×D1314yes—
1652C4⋊C4C23×D1314yes—
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⋊C4—134no—
1662C22⋊C4—134no—
1663C22⋊C4—134no—
1664C22⋊C4—134no—
1665C22⋊C4—134no—
1666C22⋊C4—134no—
1667C22⋊C4—134no—
1668C22⋊C4—134no—
1669C22⋊C4—134no—
1670C22⋊C4—134no—
1671C22⋊C4—134no—
1672C22⋊C4—134no—
1673C22⋊C4—134no—
1674C22⋊C4—134no—
1675C22⋊C4—134no—
1676C22⋊C4—134no—
1677C22⋊C4—134no—
1678C22⋊C4—134no—
1679C22⋊C4—134no—
1680C22⋊C4—134no—
1681C22⋊C4—134no—
1682C22⋊C4—134no—
1683C22⋊C4—134no—
1684C22⋊C4—134no—
1685C22⋊C4C23×D1314yes—
1686C22⋊C4C23×D1314yes—
1687C22⋊C4C23×D1314yes—
1688C22⋊C4C23×D1314yes—
1689C22⋊C4C23×D1314yes—
1690C22⋊C4C23×D1314yes—
1691C22⋊C4C23×D1314yes—
1692C22⋊C4C23×D1314yes—
1693C22⋊C4C23×D1314yes—
1694C22⋊C4C23×D1314yes—
1695C42—134no—
1696C42—134no—
1697C42—134no—
1698C42—134no—
1699C42—134no—
1700C42—134no—
1701C42—134no—
1702C42—134no—
1703C42—134no—
1704C42—134no—
1705C42—134no—
1706C42—134no—
1707C42C23×D1314yes—
1708C42C23×D1314yes—
1709C13C2×#356711yescharacteristic, complemented, Sylow
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—132no—
1720C23—132no—
1721C23—132no—
1722C23—132no—
1723C23—262no—
1724C23—262no—
1725C23—262no—
1726C23—262no—
1727C23—262no—
1728C23—262no—
1729C23—262no—
1730C23—262no—
1731C23—262no—
1732C23—262no—
1733C23—262no—
1734C23—262no—
1735C23C24×D1312yes—
1736C23C24×D1312yes—
1737C23C24×D1312yes—
1738C23C24×D1311yescharacteristic
1739Q8—44no—
1740Q8—524no—
1741Q8—524no—
1742D4—44no—
1743D4—44no—
1744D4—44no—
1745D4—524no—
1746D4—524no—
1747D4—524no—
1748D4—524no—
1749D4—524no—
1750D4—524no—
1751D4—524no—
1752D4—524no—
1753D4—524no—
1754D4—524no—
1755D4—524no—
1756D4—524no—
1757D4—524no—
1758D4—524no—
1759D4—524no—
1760D4—524no—
1761D4—524no—
1762D4—524no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—132no—
1781C2×C4—132no—
1782C2×C4—132no—
1783C2×C4—132no—
1784C2×C4—132no—
1785C2×C4—132no—
1786C2×C4—132no—
1787C2×C4—132no—
1788C2×C4—132no—
1789C2×C4—132no—
1790C2×C4—132no—
1791C2×C4—132no—
1792C2×C4—262no—
1793C2×C4—262no—
1794C2×C4—262no—
1795C2×C4—262no—
1796C2×C4—262no—
1797C2×C4—262no—
1798C2×C4—262no—
1799C2×C4—262no—
1800C2×C4—262no—
1801C2×C4—262no—
1802C2×C4—262no—
1803C2×C4—262no—
1804C2×C4—524no—
1805C2×C4—524no—
1806C2×C4—524no—
1807C2×C4—524no—
1808C2×C4—524no—
1809C2×C4—524no—
1810C2×C4—524no—
1811C2×C4—524no—
1812C2×C4—524no—
1813C2×C4—524no—
1814C2×C4—524no—
1815C2×C4—524no—
1816C2×C4—524no—
1817C2×C4—524no—
1818C2×C4—524no—
1819C2×C4—524no—
1820C2×C4C24×D1312yes—
1821C2×C4C24×D1312yes—
1822C2×C4C24×D1312yes—
1823C2×C4C24×D1312yes—
1824C2×C4C24×D1312yes—
1825C2×C4C24×D1312yes—
1826C2×C4C24×D1312yes—
1827C2×C4C24×D1312yes—
1828C2×C4C24×D1312yes—
1829C2×C4C24×D1312yes—
1830C2×C4C24×D1312yes—
1831C2×C4C24×D1312yes—
1832C22—22no—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—44no—
1842C22—44no—
1843C22—44no—
1844C22—262no—
1845C22—262no—
1846C22—262no—
1847C22—262no—
1848C22—262no—
1849C22—262no—
1850C22—262no—
1851C22—262no—
1852C22—262no—
1853C22—262no—
1854C22—262no—
1855C22—262no—
1856C22—524no—
1857C22—524no—
1858C22—524no—
1859C22—524no—
1860C22#1171964812yes—
1861C22#1171965012yes—
1862C22#1171965212yes—
1863C22C25×D1311yescharacteristic
1864C4—22no—
1865C4—22no—
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—262no—
1877C4—262no—
1878C4—262no—
1879C4—262no—
1880C4—262no—
1881C4—262no—
1882C4—262no—
1883C4—262no—
1884C4—262no—
1885C4—262no—
1886C4—262no—
1887C4—262no—
1888C2—42no—
1889C2—42no—
1890C2—42no—
1891C2—522no—
1892C2—522no—
1893C2—522no—
1894C2—522no—
1895C2#1312952214yesdirect product factor
1896C2C2×#1171965011yescharacteristic
1897C2C2×#1171964811yescharacteristic
1898C2C2×#1171965211yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#539C2
socleC23×C13C25
hypercenterC2×#539D13
hypocenterC13C2×#3567
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13129522C2direct (N × H)
2. C2×C13⋊#564C2semidirect
3. C2×#11719372C2semidirect
4. C2×#11719352C2semidirect
5. C2×#11719352C2semidirect
6. C2×#11719400C2semidirect
7. C2×#11719414C2semidirect
8. C2×#11719263C2semidirect
9. C2×#11719219C2semidirect
10. C2×#11719270C2semidirect
11. C2×#11719366C2semidirect
12. C2×#11719347C2semidirect
13. C2×#11719399C2semidirect
14. C2×#11719413C2semidirect
15. C2×#11719218C2semidirect
16. C2×#11719344C2semidirect
17. C2×#11719398C2semidirect
18. C2×#11719324C2semidirect
19. C2×#11719368C2semidirect
20. C2×#11719368C2semidirect
21. C2×#11719368C2semidirect
22. C2×#11719267C2semidirect
23. C2×#11719320C2semidirect
24. C2×#11719343C2semidirect
25. C2×#11719370C2semidirect
26. C2×#11719365C2semidirect
27. C2×#11719412C2semidirect
28. C2×#11719412C2semidirect
29. C2×#11719329C2semidirect
30. C2×#11719243C2semidirect
31. C2×#11719354C2semidirect
32. C2×C13×#539C2semidirect
33. C13×#539C22semidirect
85. #11719414C22semidirect
86. #11719413C22semidirect
87. #11719412C22semidirect
88. #11719412C22semidirect
89. #11719400C22semidirect
90. #11719399C22semidirect
91. #11719398C22semidirect
92. C13⋊#564C22semidirect
93. #11719372C22semidirect
94. #11719370C22semidirect
95. #11719368C22semidirect
96. #11719368C22semidirect
97. #11719368C22semidirect
98. #11719366C22semidirect
99. #11719365C22semidirect
100. #11719354C22semidirect
101. #11719352C22semidirect
102. #11719352C22semidirect
103. #11719347C22semidirect
104. #11719344C22semidirect
105. #11719343C22semidirect
106. #11719329C22semidirect
107. #11719324C22semidirect
108. #11719320C22semidirect
109. #11719270C22semidirect
110. #11719267C22semidirect
111. #11719263C22semidirect
112. #11719243C22semidirect
113. #11719219C22semidirect
114. #11719218C22semidirect
789. C2×#539D13semidirect
942. #539C2×D13semidirect
1470. C2×C13#3567semidirect
1709. C13C2×#3567semidirect
1895. C2#13129522direct (N × H)

Maximal subgroups

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

subgroupindex
#131295222
C2×C13⋊#5642
C2×#117193722
C2×#117193522
C2×#117194002
C2×#117194142
C2×#117192632
C2×#117192192
C2×#117192702
C2×#117193662
C2×#117193472
C2×#117193992
C2×#117194132
C2×#117192182
C2×#117193442
C2×#117193982
C2×#117193242
C2×#117193682
C2×#117192672
C2×#117193202
C2×#117193432
C2×#117193702
C2×#117193652
C2×#117194122
C2×#117193292
C2×#117192432
C2×#117193542
C2×C13×#5392
C2×#356713