Finite Group Databasebeta

← C2×#13128803 #16771022

Subgroups — C2×#13128803 #16771022

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#13128803C2132yesmaximal, direct product factor
2C2×#11719390C211yesmaximal, characteristic, complemented
3C2×#11719341C211yesmaximal, characteristic, complemented
4C2×#11719341C211yesmaximal, characteristic, complemented
5C2×#11719414C211yesmaximal, characteristic, complemented
6C2×#11719245C211yesmaximal, characteristic, complemented
7C2×#11719286C211yesmaximal, characteristic, complemented
8C2×#11719413C211yesmaximal, characteristic, complemented
9C2×#11719236C211yesmaximal, characteristic, complemented
10C2×#11719236C211yesmaximal, characteristic, complemented
11C2×#11719236C211yesmaximal, characteristic, complemented
12C2×#11719398C211yesmaximal, characteristic, complemented
13C2×#11719398C211yesmaximal, characteristic, complemented
14C2×#11719212C211yesmaximal, characteristic, complemented
15C2×#11719360C211yesmaximal, characteristic, complemented
16C2×#11719360C211yesmaximal, characteristic, complemented
17C2×#11719401C211yesmaximal, characteristic, complemented
18C2×#11719406C211yesmaximal, characteristic, complemented
19C2×#11719350C211yesmaximal, characteristic, complemented
20C2×#11719397C211yesmaximal, characteristic, complemented
21C2×#11719343C211yesmaximal, characteristic, complemented
22C2×#11719370C211yesmaximal, characteristic, complemented
23C2×#11719283C211yesmaximal, characteristic, complemented
24C2×#11719411C211yesmaximal, characteristic, complemented
25C2×#11719233C211yesmaximal, characteristic, complemented
26C2×#11719354C211yesmaximal, characteristic, complemented
27C22×#88143C211yesmaximal, characteristic, complemented
28C2×D13×#125C211yesmaximal, characteristic, complemented
29C2×#11719228C211yesmaximal, characteristic, complemented
30C2×#11719251C211yesmaximal, characteristic, complemented
31C2×#11719227C211yesmaximal, characteristic, complemented
32C2×C13×#552C211yesmaximal, characteristic, complemented
33C22×#6129C2211yescharacteristic
34C22×#6127C2211yescharacteristic
35C22×#6127C2211yescharacteristic
36C13×#552C22116yescomplemented
37C2×C13×#126C2211yescharacteristic
38C2×C13×#126C2211yescharacteristic
39C2×C13×#125C2211yescharacteristic
40C2×C13×#125C2211yescharacteristic
41C2×C13×#125C2211yescharacteristic
42C2×C13×#123C2211yescharacteristic
43C2×C13×#123C2211yescharacteristic
44C2×C13×C22⋊Q8C2211yescharacteristic
45C2×C13×C22⋊Q8C2211yescharacteristic
46C2×C4×Q8×C13C2211yescharacteristic
47C2×C4×D4×C13C2211yescharacteristic
48C2×C13×#117C2211yescharacteristic
49C2×C13×#117C2211yescharacteristic
50C2×C13×#117C2211yescharacteristic
51C22×C13×C4⋊C4C2211yescharacteristic
52C2×#88200C2211yescharacteristic
53C2×#88200C2211yescharacteristic
54C2×#88200C2211yescharacteristic
55C2×#88198C2211yescharacteristic
56C2×#88193C2211yescharacteristic
57C2×#88193C2211yescharacteristic
58C2×D4×Dic13C2211yescharacteristic
59C2×#88184C2211yescharacteristic
60C2×#88183C2211yescharacteristic
61C2×#88183C2211yescharacteristic
62C2×#88183C2211yescharacteristic
63C2×C4×C22⋊D13C2211yescharacteristic
64C2×C4×C22⋊D13C2211yescharacteristic
65C2×C4×C22⋊D13C2211yescharacteristic
66C22×C4⋊Dic13C2211yescharacteristic
67C22×#6101C2211yescharacteristic
68C22×#6101C2211yescharacteristic
69C22×#6101C2211yescharacteristic
70C22×#6101C2211yescharacteristic
71C22×#6101C2211yescharacteristic
72C22×C4×Dic13C2211yescharacteristic
73#11719414C22116yescomplemented
74#11719413C22116yescomplemented
75#11719411C22116yescomplemented
76#11719406C22116yescomplemented
77#11719401C22116yescomplemented
78#11719398C22116yescomplemented
79#11719398C22116yescomplemented
80#11719397C22116yescomplemented
81D13×#125C22116yescomplemented
82#11719390C22116yescomplemented
83#11719370C22116yescomplemented
84#11719360C22116yescomplemented
85#11719360C22116yescomplemented
86#11719354C22116yescomplemented
87#11719350C22116yescomplemented
88#11719343C22116yescomplemented
89#11719341C22116yescomplemented
90#11719341C22116yescomplemented
91#11719286C22116yescomplemented
92#11719283C22116yescomplemented
93#11719251C22116yescomplemented
94#11719245C22116yescomplemented
95#11719236C22116yescomplemented
96#11719236C22116yescomplemented
97#11719236C22116yescomplemented
98#11719233C22116yescomplemented
99#11719228C22116yescomplemented
100#11719227C22116yescomplemented
101C2×#88152C2211yescharacteristic
102C2×#88152C2211yescharacteristic
103C2×#88152C2211yescharacteristic
104C2×#88152C2211yescharacteristic
105C2×#88152C2211yescharacteristic
106C2×#88152C2211yescharacteristic
107C2×#88151C2211yescharacteristic
108C2×#88150C2211yescharacteristic
109C2×#88150C2211yescharacteristic
110C2×#88150C2211yescharacteristic
111C2×#88150C2211yescharacteristic
112C2×#88150C2211yescharacteristic
113C2×#88150C2211yescharacteristic
114C2×#88150C2211yescharacteristic
115C2×#88150C2211yescharacteristic
116#11719212C22116yescomplemented
117C2×#88149C2211yescharacteristic
118C2×#88148C2211yescharacteristic
119C2×#88148C2211yescharacteristic
120C2×#88148C2211yescharacteristic
121C2×#88148C2211yescharacteristic
122C2×#88148C2211yescharacteristic
123C2×#88148C2211yescharacteristic
124C2×#88148C2211yescharacteristic
125C2×#88147C2211yescharacteristic
126C2×#88147C2211yescharacteristic
127C2×#88147C2211yescharacteristic
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×#88143C2211yescharacteristic
142C2×#88143C2211yescharacteristic
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×#88143C22116yescomplemented
159C2×#88142C2211yescharacteristic
160C2×#88142C2211yescharacteristic
161C2×#88142C2211yescharacteristic
162C2×#88141C2211yescharacteristic
163C2×#88141C2211yescharacteristic
164C2×#88141C2211yescharacteristic
165C2×#88141C2211yescharacteristic
166C2×#88141C2211yescharacteristic
167C2×#88140C2211yescharacteristic
168C2×#88140C2211yescharacteristic
169C2×#88140C2211yescharacteristic
170C2×#88139C2211yescharacteristic
171C2×#88138C2211yescharacteristic
172C2×#88138C2211yescharacteristic
173C2×#88138C2211yescharacteristic
174C2×#88137C2211yescharacteristic
175C2×#88137C2211yescharacteristic
176C2×#88137C2211yescharacteristic
177C2×#88135C2211yescharacteristic
178C2×#88135C2211yescharacteristic
179C2×#88135C2211yescharacteristic
180C2×#88135C2211yescharacteristic
181C2×#88135C2211yescharacteristic
182C2×#88135C2211yescharacteristic
183C2×#88135C2211yescharacteristic
184C2×#88135C2211yescharacteristic
185C2×#88135C2211yescharacteristic
186C2×#88135C2211yescharacteristic
187C2×#88135C2211yescharacteristic
188C2×#88133C2211yescharacteristic
189C2×#88133C2211yescharacteristic
190C2×#88133C2211yescharacteristic
191C2×#88132C2211yescharacteristic
192C2×#88132C2211yescharacteristic
193C2×#88132C2211yescharacteristic
194C2×#88132C2211yescharacteristic
195C2×#88132C2211yescharacteristic
196C2×#88131C2211yescharacteristic
197C2×#88131C2211yescharacteristic
198C2×#88131C2211yescharacteristic
199C2×#88130C2211yescharacteristic
200C2×#88130C2211yescharacteristic
201C2×#88130C2211yescharacteristic
202C2×C4×D52C2211yescharacteristic
203C2×C4×D52C2211yescharacteristic
204C2×#88126C2211yescharacteristic
205C2×#88126C2211yescharacteristic
206C2×#88126C2211yescharacteristic
207C2×#88126C2211yescharacteristic
208C2×#88126C2211yescharacteristic
209C2×#88126C2211yescharacteristic
210C2×C42×D13C2211yescharacteristic
211C2×C42×D13C2211yescharacteristic
212C2×#88124C2211yescharacteristic
213C2×#88124C2211yescharacteristic
214C2×C4×Dic26C2211yescharacteristic
215C2×C4×Dic26C2211yescharacteristic
216C2×C4×Dic26C2211yescharacteristic
217C2×C4×Dic26C2211yescharacteristic
218C2×C4×Dic26C2211yescharacteristic
219C22×Q8×C13C2311yescharacteristic
220C22×D4×C13C2311yescharacteristic
221C23×C4×C13C2311yescharacteristic
222C23×C4×C13C2311yescharacteristic
223C23×C4×C13C2311yescharacteristic
224C23×C4×C13C2311yescharacteristic
225C22×C22⋊D13C2311yescharacteristic
226C22×C22⋊D13C2311yescharacteristic
227C22×C22⋊D13C2311yescharacteristic
228C22×C22⋊D13C2311yescharacteristic
229C22×C22⋊D13C2311yescharacteristic
230C22×C22⋊D13C2311yescharacteristic
231C23×Dic13C2311yescharacteristic
232C23×Dic13C2311yescharacteristic
233C23×Dic13C2311yescharacteristic
234C23×Dic13C2311yescharacteristic
235C23×Dic13C2311yescharacteristic
236C23×Dic13C2311yescharacteristic
237C2×#6129—28no—
238C2×#6129C2318yes—
239C2×#6127—28no—
240C2×#6127—28no—
241C2×#6127C2318yes—
242C2×#6127C2318yes—
243C22×D52C2311yescharacteristic
244C22×D52C2311yescharacteristic
245C22×D52C2311yescharacteristic
246C22×C4×D13C2311yescharacteristic
247C22×C4×D13C2311yescharacteristic
248C22×C4×D13C2311yescharacteristic
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×#125C2318yes—
269C13×#123C2318yes—
270C13×#123C2318yes—
271C13×C22⋊Q8C2318yes—
272C13×C22⋊Q8C2318yes—
273C4×Q8×C13C2318yes—
274C4×D4×C13C2318yes—
275C13×#117C2318yes—
276C13×#117C2318yes—
277C13×#117C2318yes—
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⋊C4C2311yescharacteristic
293C2×C13×C4⋊C4C2318yes—
294C2×C13×C4⋊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×C42×C13C2311yescharacteristic
306C2×C42×C13C2311yescharacteristic
307C2×C42×C13C2311yescharacteristic
308C2×C22⋊Dic13C2311yescharacteristic
309C2×C22⋊Dic13C2311yescharacteristic
310C2×C22⋊Dic13C2311yescharacteristic
311C2×C22⋊Dic13C2311yescharacteristic
312#88200C2318yes—
313#88200C2318yes—
314#88200C2318yes—
315#88198C2318yes—
316#88193C2318yes—
317#88193C2318yes—
318D4×Dic13C2318yes—
319#88184C2318yes—
320#88183C2318yes—
321#88183C2318yes—
322#88183C2318yes—
323C4×C22⋊D13C2318yes—
324C4×C22⋊D13C2318yes—
325C4×C22⋊D13C2318yes—
326C2×#6103C2311yescharacteristic
327C2×#6103C2311yescharacteristic
328C2×#6103C2311yescharacteristic
329C2×#6103C2311yescharacteristic
330C2×#6103C2311yescharacteristic
331C2×#6103C2311yescharacteristic
332C2×#6103C2311yescharacteristic
333C2×#6103C2311yescharacteristic
334C2×#6103C2311yescharacteristic
335C2×#6103C2311yescharacteristic
336C2×#6103C2311yescharacteristic
337C2×#6103C2311yescharacteristic
338C2×#6103C2311yescharacteristic
339C2×#6103C2311yescharacteristic
340C2×#6103C2311yescharacteristic
341C2×#6103C2311yescharacteristic
342C2×#6103C2311yescharacteristic
343C2×#6103C2311yescharacteristic
344C2×#6103C2311yescharacteristic
345C2×#6103C2311yescharacteristic
346C2×C4⋊Dic13C2311yescharacteristic
347C2×C4⋊Dic13C2311yescharacteristic
348C2×C4⋊Dic13C2311yescharacteristic
349C2×C4⋊Dic13C2311yescharacteristic
350C2×C4⋊Dic13C2311yescharacteristic
351C2×C4⋊Dic13C2311yescharacteristic
352C2×C4⋊Dic13C2311yescharacteristic
353C2×C4⋊Dic13C2311yescharacteristic
354C2×C4⋊Dic13C2311yescharacteristic
355C2×C4⋊Dic13C2311yescharacteristic
356C2×C4⋊Dic13C2311yescharacteristic
357C2×C4⋊Dic13C2311yescharacteristic
358C2×C4⋊Dic13C2318yes—
359C2×#6101C2311yescharacteristic
360C2×#6101C2311yescharacteristic
361C2×#6101C2311yescharacteristic
362C2×#6101C2311yescharacteristic
363C2×#6101C2311yescharacteristic
364C2×#6101C2311yescharacteristic
365C2×#6101C2311yescharacteristic
366C2×#6101C2311yescharacteristic
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×#6101C2318yes—
396C2×#6101C2318yes—
397C2×#6101C2318yes—
398C2×#6101C2318yes—
399C2×#6101C2318yes—
400C2×C4×Dic13C2311yescharacteristic
401C2×C4×Dic13C2311yescharacteristic
402C2×C4×Dic13C2311yescharacteristic
403C2×C4×Dic13C2311yescharacteristic
404C2×C4×Dic13C2311yescharacteristic
405C2×C4×Dic13C2311yescharacteristic
406C2×C4×Dic13C2311yescharacteristic
407C2×C4×Dic13C2311yescharacteristic
408C2×C4×Dic13C2311yescharacteristic
409C2×C4×Dic13C2311yescharacteristic
410C2×C4×Dic13C2311yescharacteristic
411C2×C4×Dic13C2311yescharacteristic
412C2×C4×Dic13C2311yescharacteristic
413C2×C4×Dic13C2311yescharacteristic
414C2×C4×Dic13C2311yescharacteristic
415C2×C4×Dic13C2318yes—
416#88152C2318yes—
417#88152C2318yes—
418#88152C2318yes—
419#88152C2318yes—
420#88152C2318yes—
421#88152C2318yes—
422#88151C2318yes—
423#88150C2318yes—
424#88150C2318yes—
425#88150C2318yes—
426#88150C2318yes—
427#88150C2318yes—
428#88150C2318yes—
429#88150C2318yes—
430#88150C2318yes—
431#88149C2318yes—
432#88148C2318yes—
433#88148C2318yes—
434#88148C2318yes—
435#88148C2318yes—
436#88148C2318yes—
437#88148C2318yes—
438#88148C2318yes—
439#88147C2318yes—
440#88147C2318yes—
441#88147C2318yes—
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#88143C2318yes—
456#88143C2318yes—
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#88142C2318yes—
473#88142C2318yes—
474#88142C2318yes—
475#88141C2318yes—
476#88141C2318yes—
477#88141C2318yes—
478#88141C2318yes—
479#88141C2318yes—
480#88140C2318yes—
481#88140C2318yes—
482#88140C2318yes—
483#88139C2318yes—
484#88138C2318yes—
485#88138C2318yes—
486#88138C2318yes—
487#88137C2318yes—
488#88137C2318yes—
489#88137C2318yes—
490#88135C2318yes—
491#88135C2318yes—
492#88135C2318yes—
493#88135C2318yes—
494#88135C2318yes—
495#88135C2318yes—
496#88135C2318yes—
497#88135C2318yes—
498#88135C2318yes—
499#88135C2318yes—
500#88135C2318yes—
501#88133C2318yes—
502#88133C2318yes—
503#88133C2318yes—
504#88132C2318yes—
505#88132C2318yes—
506#88132C2318yes—
507#88132C2318yes—
508#88132C2318yes—
509#88131C2318yes—
510#88131C2318yes—
511#88131C2318yes—
512#88130C2318yes—
513#88130C2318yes—
514#88130C2318yes—
515C4×D52C2318yes—
516C4×D52C2318yes—
517#88126C2318yes—
518#88126C2318yes—
519#88126C2318yes—
520#88126C2318yes—
521#88126C2318yes—
522#88126C2318yes—
523C42×D13C2318yes—
524C42×D13C2318yes—
525#88124C2318yes—
526#88124C2318yes—
527C4×Dic26C2318yes—
528C4×Dic26C2318yes—
529C4×Dic26C2318yes—
530C4×Dic26C2318yes—
531C4×Dic26C2318yes—
532C2×#3515—131nomaximal, Sylow
533C24×C13C2411yescharacteristic
534C24×C13C2411yescharacteristic
535C23×D13C2411yescharacteristic
536C23×D13C2411yescharacteristic
537C23×D13C2411yescharacteristic
538C2×Q8×C13—42no—
539C2×Q8×C13C2414yes—
540C2×D4×C13—24no—
541C2×D4×C13C2414yes—
542C22×C4×C13—24no—
543C22×C4×C13—24no—
544C22×C4×C13—42no—
545C22×C4×C13—42no—
546C22×C4×C13C2411yescharacteristic
547C22×C4×C13C2411yescharacteristic
548C22×C4×C13C2411yescharacteristic
549C22×C4×C13C2411yescharacteristic
550C22×C4×C13C2414yes—
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×C13C2414yes—
561C22×C4×C13C2414yes—
562C22×C4×C13C2414yes—
563C2×C22⋊D13—24no—
564C2×C22⋊D13—24no—
565C2×C22⋊D13—24no—
566C2×C22⋊D13—24no—
567C2×C22⋊D13—42no—
568C2×C22⋊D13#4118yes—
569C2×C22⋊D13C2414yes—
570C2×C22⋊D13C2414yes—
571C2×C22⋊D13C2414yes—
572C2×C22⋊D13C2414yes—
573C2×C22⋊D13C2414yes—
574C2×C22⋊D13C2414yes—
575C22×Dic13—24no—
576C22×Dic13—24no—
577C22×Dic13—24no—
578C22×Dic13—42no—
579C22×Dic13—42no—
580C22×Dic13—42no—
581C22×Dic13C2414yes—
582C22×Dic13C2414yes—
583C22×Dic13C2414yes—
584C22×Dic13C2411yescharacteristic
585C22×Dic13C2411yescharacteristic
586C22×Dic13C2411yescharacteristic
587C22×Dic13C2411yescharacteristic
588C22×Dic13C2411yescharacteristic
589C22×Dic13C2411yescharacteristic
590C22×Dic13C2411yescharacteristic
591C22×Dic13C2411yescharacteristic
592C22×Dic13C2411yescharacteristic
593C22×Dic13C2411yescharacteristic
594C22×Dic13C2411yescharacteristic
595C22×Dic13C2414yes—
596C22×Dic13C2414yes—
597C22×Dic13C2414yes—
598C22×Dic13C2411yescharacteristic
599C22×Dic13C2411yescharacteristic
600#6129—232no—
601#6127—232no—
602#6127—232no—
603C2×D52—24no—
604C2×D52—24no—
605C2×D52—42no—
606C2×D52C2414yes—
607C2×D52C2414yes—
608C2×D52C2414yes—
609C2×C4×D13—24no—
610C2×C4×D13—24no—
611C2×C4×D13—24no—
612C2×C4×D13—24no—
613C2×C4×D13—24no—
614C2×C4×D13—24no—
615C2×C4×D13—24no—
616C2×C4×D13—42no—
617C2×C4×D13—42no—
618C2×C4×D13—42no—
619C2×C4×D13—42no—
620C2×C4×D13—42no—
621C2×C4×D13—42no—
622C2×C4×D13C2414yes—
623C2×C4×D13C2414yes—
624C2×C4×D13C2414yes—
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×C4⋊C4C2414yes—
660C13×C4⋊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—
671C42×C13C2414yes—
672C42×C13C2414yes—
673C42×C13C2414yes—
674C22⋊Dic13C2414yes—
675C22⋊Dic13C2414yes—
676C22⋊Dic13C2414yes—
677C22⋊Dic13C2414yes—
678#6103C2414yes—
679#6103C2414yes—
680#6103C2414yes—
681#6103C2414yes—
682#6103C2414yes—
683#6103C2414yes—
684#6103C2414yes—
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—
698C4⋊Dic13C2414yes—
699C4⋊Dic13C2414yes—
700C4⋊Dic13C2414yes—
701C4⋊Dic13C2414yes—
702C4⋊Dic13C2414yes—
703C4⋊Dic13C2414yes—
704C4⋊Dic13C2414yes—
705C4⋊Dic13C2414yes—
706C4⋊Dic13C2414yes—
707C4⋊Dic13C2414yes—
708C4⋊Dic13C2414yes—
709C4⋊Dic13C2414yes—
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—
743#6101C2414yes—
744#6101C2414yes—
745#6101C2414yes—
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×#552D1311yescharacteristic, complemented
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×#539—131no—
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×C13C2×#4114yes—
799C23×C13C2512yes—
800C23×C13C2512yes—
801C23×C13C2511yescharacteristic
802C22×D13—22no—
803C22×D13—22no—
804C22×D13—22no—
805C22×D13—22no—
806C22×D13—22no—
807C22×D13—22no—
808C22×D13—22no—
809C22×D13—22no—
810C22×D13C2×#4114yes—
811C22×D13C2512yes—
812C22×D13C2512yes—
813C22×D13C2512yes—
814Q8×C13—44no—
815D4×C13—28no—
816C2×C4×C13—22no—
817C2×C4×C13—22no—
818C2×C4×C13—22no—
819C2×C4×C13—22no—
820C2×C4×C13—22no—
821C2×C4×C13—28no—
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×C13C2512yes—
834C2×C4×C13C2512yes—
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—
846C22⋊D13—28no—
847C22⋊D13—28no—
848C22⋊D13—28no—
849C22⋊D13—28no—
850C22⋊D13—44no—
851C22⋊D13C2×#41116yes—
852C2×Dic13—22no—
853C2×Dic13—22no—
854C2×Dic13—22no—
855C2×Dic13—22no—
856C2×Dic13—28no—
857C2×Dic13—22no—
858C2×Dic13—22no—
859C2×Dic13—22no—
860C2×Dic13—22no—
861C2×Dic13—22no—
862C2×Dic13—22no—
863C2×Dic13—22no—
864C2×Dic13—28no—
865C2×Dic13—28no—
866C2×Dic13—44no—
867C2×Dic13—44no—
868C2×Dic13—44no—
869C2×Dic13C2×#4114yes—
870C2×Dic132−1+414yes—
871C2×Dic13C2512yes—
872C2×Dic13C2512yes—
873C2×Dic13C2512yes—
874C2×Dic13C2512yes—
875C2×Dic13C2512yes—
876C2×Dic13C2512yes—
877C2×Dic13C2512yes—
878C2×Dic13C2512yes—
879C2×Dic13C2512yes—
880C2×Dic13C2512yes—
881C2×Dic13C2512yes—
882C2×Dic13C2512yes—
883C2×Dic13C2512yes—
884D52—28no—
885D52—28no—
886D52—44no—
887C4×D13—28no—
888C4×D13—28no—
889C4×D13—28no—
890C4×D13—28no—
891C4×D13—28no—
892C4×D13—28no—
893C4×D13—28no—
894C4×D13—44no—
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#552C2×D13116yescomplemented
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#539—1316no—
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×#125C2×D1311yescharacteristic
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×#123—131no—
995C2×#123—131no—
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⋊Q8—131no—
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×#121—131no—
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×Q8C2×D1311yescharacteristic
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×D4—131no—
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×#117C2×D1311yescharacteristic
1072C2×#117C2×D1311yescharacteristic
1073C2×#117C2×D1311yescharacteristic
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—44no—
1098C22×C13C22×#4114yes—
1099C22×C13C22×#4112yes—
1100C22×C13C2×2−1+412yes—
1101C22×C13#58512yes—
1102C22×C13C2611yescharacteristic
1103C2×D13—22no—
1104C2×D13—22no—
1105C2×D13—28no—
1106C2×D13—22no—
1107C2×D13—22no—
1108C2×D13—22no—
1109C2×D13—22no—
1110C2×D13—22no—
1111C2×D13—22no—
1112C2×D13—44no—
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—
1127C4×C13—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×D4—131no—
1161C22×D4—131no—
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×C4—131no—
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#125C22×D1318yes—
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#123—138no—
1245#123—138no—
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⋊Q8—138no—
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#121—138no—
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×Q8C22×D1318yes—
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×D4—138no—
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#117C22×D1318yes—
1319#117C22×D1318yes—
1320#117C22×D1318yes—
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—138no—
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—131no—
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—138no—
1376C2×C4⋊C4—138no—
1377C2×C4⋊C4—138no—
1378C2×C4⋊C4—138no—
1379C2×C4⋊C4—138no—
1380C2×C4⋊C4—138no—
1381C2×C4⋊C4—138no—
1382C2×C4⋊C4C22×D1311yescharacteristic
1383C2×C4⋊C4C22×D1311yescharacteristic
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×D1318yes—
1392C2×C4⋊C4C22×D1311yescharacteristic
1393C2×C4⋊C4C22×D1311yescharacteristic
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⋊C4—131no—
1422C2×C22⋊C4—131no—
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—138no—
1446C2×C42—131no—
1447C2×C42—138no—
1448C2×C42—138no—
1449C2×C42C22×D1311yescharacteristic
1450C2×C42C22×D1311yescharacteristic
1451C2×C42C22×D1311yescharacteristic
1452C2×C42C22×D1311yescharacteristic
1453C2×C42C22×D1311yescharacteristic
1454C2×C13—24no—
1455C2×C13—42no—
1456C2×C13#351514yescomplemented
1457C2×C13C23×#4111yescharacteristic
1458C2×C13C22×2−1+411yescharacteristic
1459C2×C13C2×#58511yescharacteristic
1460D13—24no—
1461D13—42no—
1462D13—42no—
1463C24—131no—
1464C24—131no—
1465C24—131no—
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—138no—
1485C2×D4—134no—
1486C2×D4—134no—
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—264no—
1500C2×D4—522no—
1501C2×D4—522no—
1502C2×D4C23×D1314yes—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—131no—
1508C22×C4—131no—
1509C22×C4—134no—
1510C22×C4—134no—
1511C22×C4—134no—
1512C22×C4—131no—
1513C22×C4—131no—
1514C22×C4—131no—
1515C22×C4—131no—
1516C22×C4—131no—
1517C22×C4—131no—
1518C22×C4—131no—
1519C22×C4—131no—
1520C22×C4—131no—
1521C22×C4—131no—
1522C22×C4—131no—
1523C22×C4—134no—
1524C22×C4—134no—
1525C22×C4—134no—
1526C22×C4—134no—
1527C22×C4—134no—
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—264no—
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—522no—
1550C22×C4—522no—
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×D1314yes—
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×D1311yescharacteristic
1572C22×C4C23×D1311yescharacteristic
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⋊C4C23×D1314yes—
1624C4⋊C4C23×D1314yes—
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⋊C4—134no—
1662C22⋊C4—134no—
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—
1686C42C23×D1314yes—
1687C42C23×D1314yes—
1688C42C23×D1314yes—
1689C42C23×D1314yes—
1690C42C23×D1314yes—
1691C13C2×#351511yescharacteristic, complemented, Sylow
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—134no—
1698C23—132no—
1699C23—132no—
1700C23—132no—
1701C23—262no—
1702C23—262no—
1703C23—262no—
1704C23—262no—
1705C23—262no—
1706C23—262no—
1707C23—262no—
1708C23—262no—
1709C23#41×D1314yes—
1710C23C24×D1312yes—
1711C23C24×D1312yes—
1712C23C24×D1311yescharacteristic
1713Q8—44no—
1714Q8—268no—
1715Q8—268no—
1716Q8—268no—
1717Q8—268no—
1718Q8—524no—
1719D4—28no—
1720D4—1316no—
1721D4—268no—
1722D4—268no—
1723D4—268no—
1724D4—268no—
1725D4—268no—
1726D4—268no—
1727D4—524no—
1728D4—524no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—28no—
1734C2×C4—28no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
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—268no—
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—262no—
1771C2×C4—262no—
1772C2×C4—262no—
1773C2×C4—262no—
1774C2×C4—268no—
1775C2×C4—262no—
1776C2×C4—262no—
1777C2×C4—262no—
1778C2×C4—262no—
1779C2×C4—262no—
1780C2×C4—262no—
1781C2×C4—262no—
1782C2×C4—524no—
1783C2×C4—524no—
1784C2×C4—524no—
1785C2×C4—524no—
1786C2×C4—524no—
1787C2×C4—524no—
1788C2×C4—524no—
1789C2×C4—524no—
1790C2×C4—524no—
1791C2×C4C24×D1312yes—
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—44no—
1811C22—134no—
1812C22—268no—
1813C22—262no—
1814C22—262no—
1815C22—262no—
1816C22—262no—
1817C22—262no—
1818C22—262no—
1819C22—262no—
1820C22—262no—
1821C22—524no—
1822C22—524no—
1823C22C2×#41×D1314yes—
1824C22C2×#41×D1312yes—
1825C22#1171964812yes—
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—22no—
1841C4—134no—
1842C4—134no—
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—264no—
1857C2—522no—
1858C2—522no—
1859C2#1312880314yesdirect product factor
1860C2C22×#41×D1311yescharacteristic
1861C2C2×D13×2−1+411yescharacteristic
1862C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#552C2
socleC23×C13C25
hypercenterC2×#552D13
hypocenterC13C2×#3515
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #13128803C2direct (N × H)
2. C2×#11719390C2semidirect
3. C2×#11719341C2semidirect
4. C2×#11719341C2semidirect
5. C2×#11719414C2semidirect
6. C2×#11719245C2semidirect
7. C2×#11719286C2semidirect
8. C2×#11719413C2semidirect
9. C2×#11719236C2semidirect
10. C2×#11719236C2semidirect
11. C2×#11719236C2semidirect
12. C2×#11719398C2semidirect
13. C2×#11719398C2semidirect
14. C2×#11719212C2semidirect
15. C2×#11719360C2semidirect
16. C2×#11719360C2semidirect
17. C2×#11719401C2semidirect
18. C2×#11719406C2semidirect
19. C2×#11719350C2semidirect
20. C2×#11719397C2semidirect
21. C2×#11719343C2semidirect
22. C2×#11719370C2semidirect
23. C2×#11719283C2semidirect
24. C2×#11719411C2semidirect
25. C2×#11719233C2semidirect
26. C2×#11719354C2semidirect
27. C22×#88143C2semidirect
28. C2×D13×#125C2semidirect
29. C2×#11719228C2semidirect
30. C2×#11719251C2semidirect
31. C2×#11719227C2semidirect
32. C2×C13×#552C2semidirect
36. C13×#552C22semidirect
73. #11719414C22semidirect
74. #11719413C22semidirect
75. #11719411C22semidirect
76. #11719406C22semidirect
77. #11719401C22semidirect
78. #11719398C22semidirect
79. #11719398C22semidirect
80. #11719397C22semidirect
81. D13×#125C22semidirect
82. #11719390C22semidirect
83. #11719370C22semidirect
84. #11719360C22semidirect
85. #11719360C22semidirect
86. #11719354C22semidirect
87. #11719350C22semidirect
88. #11719343C22semidirect
89. #11719341C22semidirect
90. #11719341C22semidirect
91. #11719286C22semidirect
92. #11719283C22semidirect
93. #11719251C22semidirect
94. #11719245C22semidirect
95. #11719236C22semidirect
96. #11719236C22semidirect
97. #11719236C22semidirect
98. #11719233C22semidirect
99. #11719228C22semidirect
100. #11719227C22semidirect
116. #11719212C22semidirect
158. C2×#88143C22semidirect
774. C2×#552D13semidirect
920. #552C2×D13semidirect
1456. C2×C13#3515semidirect
1691. C13C2×#3515semidirect
1859. C2#13128803direct (N × H)

Maximal subgroups

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

subgroupindex
#131288032
C2×#117193902
C2×#117193412
C2×#117194142
C2×#117192452
C2×#117192862
C2×#117194132
C2×#117192362
C2×#117193982
C2×#117192122
C2×#117193602
C2×#117194012
C2×#117194062
C2×#117193502
C2×#117193972
C2×#117193432
C2×#117193702
C2×#117192832
C2×#117194112
C2×#117192332
C2×#117193542
C22×#881432
C2×D13×#1252
C2×#117192282
C2×#117192512
C2×#117192272
C2×C13×#5522
C2×#351513