Finite Group Databasebeta

← D13×#2449 #16030397

Subgroups — D13×#2449 #16030397

Order 3328.

3830 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
3C2×C4×D4×D13C211yesmaximal, characteristic
4C22×C4⋊C4×D13C211yesmaximal, characteristic, complemented
5#13118652C211yesmaximal, characteristic, complemented
6#13118651C211yesmaximal, characteristic, complemented
7#13118650C211yesmaximal, characteristic, complemented
8#13118649C211yesmaximal, characteristic, complemented
9#13118648C211yesmaximal, characteristic, complemented
10#13118647C211yesmaximal, characteristic, complemented
11#13118646C211yesmaximal, characteristic, complemented
12#13118645C211yesmaximal, characteristic, complemented
13#13118644C211yesmaximal, characteristic, complemented
14#13118643C211yesmaximal, characteristic, complemented
15#13118642C211yesmaximal, characteristic, complemented
16#13118641C211yesmaximal, characteristic, complemented
17#13118640C211yesmaximal, characteristic, complemented
18#13118639C211yesmaximal, characteristic, complemented
19#13118638C211yesmaximal, characteristic, complemented
20D13×#399C211yesmaximal, characteristic, complemented
21D13×#398C211yesmaximal, characteristic, complemented
22D13×#396C211yesmaximal, characteristic, complemented
23D13×#395C211yesmaximal, characteristic, complemented
24D13×#389C211yesmaximal, characteristic, complemented
25D13×#387C211yesmaximal, characteristic, complemented
26D13×#386C211yesmaximal, characteristic
27D13×#386C211yesmaximal, characteristic
28D13×#385C211yesmaximal, characteristic, complemented
29D13×#385C211yesmaximal, characteristic, complemented
30D13×#385C211yesmaximal, characteristic, complemented
31C13×#2449C211yesmaximal, characteristic, complemented
32C22×Q8×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C23×C4×D13C2211yescharacteristic
37C23×C4×D13C2211yescharacteristic
38C2×C13×C22⋊Q8C2211yescharacteristic, complemented
39C2×C13×C22⋊Q8C2211yescharacteristic, complemented
40C2×C4×D4×C13C2211yescharacteristic
41C22×C13×C4⋊C4C2211yescharacteristic, complemented
42C2×#88200C2211yescharacteristic, complemented
43C2×#88200C2211yescharacteristic, complemented
44C2×D4×Dic13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C22×C4⋊Dic13C2211yescharacteristic, complemented
48C2×#88178C2211yescharacteristic, complemented
49C2×#88178C2211yescharacteristic, complemented
50C22×#6101C2211yescharacteristic, complemented
51C22×#6101C2211yescharacteristic, complemented
52D13×C22⋊Q8—28no—
53D13×C22⋊Q8—28no—
54C4×D4×D13—28no—
55C2×#88151C2211yescharacteristic, complemented
56C2×#88151C2211yescharacteristic, complemented
57C2×#88150C2211yescharacteristic, complemented
58C2×#88150C2211yescharacteristic, complemented
59C2×#88150C2211yescharacteristic, complemented
60C2×#88150C2211yescharacteristic, complemented
61C2×#88147C2211yescharacteristic
62C2×C4⋊C4×D13—28no—
63C2×C4⋊C4×D13C2211yescharacteristic
64C2×C4⋊C4×D13C2211yescharacteristic
65C2×C4⋊C4×D13C2211yescharacteristic
66C2×C4⋊C4×D13C2211yescharacteristic
67C2×C4⋊C4×D13C2211yescharacteristic
68C2×C4⋊C4×D13C2211yescharacteristic
69C2×C4⋊C4×D13C2211yescharacteristic
70C2×C4⋊C4×D13C2211yescharacteristic
71C2×C4⋊C4×D13C2211yescharacteristic
72C2×C4⋊C4×D13C2211yescharacteristic
73C2×C4⋊C4×D13C2211yescharacteristic
74C2×C4⋊C4×D13C2211yescharacteristic
75C2×C4⋊C4×D13C2211yescharacteristic, complemented
76C2×C4⋊C4×D13C2211yescharacteristic, complemented
77C2×C4⋊C4×D13C2211yescharacteristic, complemented
78C2×C4⋊C4×D13C2211yescharacteristic, complemented
79C2×#88135C2211yescharacteristic
80C2×#88135C2211yescharacteristic
81C2×C22⋊C4×D13C2211yescharacteristic
82C2×C22⋊C4×D13C2211yescharacteristic
83C2×C22⋊C4×D13C2211yescharacteristic
84C2×C22⋊C4×D13C2211yescharacteristic
85C2×C22⋊C4×D13C2211yescharacteristic
86C2×C22⋊C4×D13C2211yescharacteristic
87C2×C22⋊C4×D13C2211yescharacteristic
88C2×C22⋊C4×D13C2211yescharacteristic
89C2×#88132C2211yescharacteristic, complemented
90C2×#88132C2211yescharacteristic, complemented
91C2×#88132C2211yescharacteristic, complemented
92C2×#88132C2211yescharacteristic, complemented
93C2×C4×D52C2211yescharacteristic
94C2×C42×D13C2211yescharacteristic
95C13×#399C2211yescharacteristic, complemented
96C13×#398C2211yescharacteristic, complemented
97C13×#396C2211yescharacteristic, complemented
98C13×#395C2211yescharacteristic, complemented
99C13×#389C2211yescharacteristic, complemented
100C13×#387C2211yescharacteristic, complemented
101C13×#386C2211yescharacteristic
102C13×#386C2211yescharacteristic
103C13×#385C2211yescharacteristic, complemented
104C13×#385C2211yescharacteristic, complemented
105C13×#385C2211yescharacteristic, complemented
106#11718890C2211yescharacteristic, complemented
107#11718881C2211yescharacteristic
108#11718881C2211yescharacteristic
109#11718874C2211yescharacteristic
110#11718874C2211yescharacteristic
111#11718871C2211yescharacteristic, complemented
112#11718871C2211yescharacteristic, complemented
113#11718871C2211yescharacteristic, complemented
114#11718655C2211yescharacteristic, complemented
115#11718655C2211yescharacteristic, complemented
116#11718655C2211yescharacteristic, complemented
117#11718653C2211yescharacteristic, complemented
118#11718653C2211yescharacteristic, complemented
119#11718653C2211yescharacteristic, complemented
120#11718650C2211yescharacteristic, complemented
121#11718650C2211yescharacteristic, complemented
122#11718650C2211yescharacteristic, complemented
123#11718650C2211yescharacteristic, complemented
124#11718650C2211yescharacteristic, complemented
125#11718650C2211yescharacteristic, complemented
126#11718646C2211yescharacteristic, complemented
127#11718645C2211yescharacteristic, complemented
128#11718645C2211yescharacteristic, complemented
129#11718644C2211yescharacteristic, complemented
130#11718642C2211yescharacteristic, complemented
131#11718641C2211yescharacteristic, complemented
132#11718640C2211yescharacteristic, complemented
133#11718640C2211yescharacteristic, complemented
134#11718640C2211yescharacteristic, complemented
135#11718639C2211yescharacteristic, complemented
136#11718634C2211yescharacteristic, complemented
137#11718633C2211yescharacteristic, complemented
138#11718633C2211yescharacteristic, complemented
139#11718619C2211yescharacteristic
140#11718619C2211yescharacteristic
141#11718617C2211yescharacteristic
142#11718617C2211yescharacteristic
143#11718617C2211yescharacteristic
144#11718617C2211yescharacteristic
145#11718611C2211yescharacteristic, complemented
146#11718611C2211yescharacteristic, complemented
147#11718611C2211yescharacteristic, complemented
148#11718610C2211yescharacteristic, complemented
149#11718610C2211yescharacteristic, complemented
150#11718610C2211yescharacteristic, complemented
151#11718609C2211yescharacteristic, complemented
152#11718609C2211yescharacteristic, complemented
153#11718609C2211yescharacteristic, complemented
154#11718607C2211yescharacteristic, complemented
155#11718607C2211yescharacteristic, complemented
156#11718607C2211yescharacteristic, complemented
157#11718594C2211yescharacteristic, complemented
158#11718589C2211yescharacteristic, complemented
159#11718338C2211yescharacteristic, complemented
160#11718337C2211yescharacteristic, complemented
161#11718329C2211yescharacteristic, complemented
162#11718329C2211yescharacteristic, complemented
163#11718329C2211yescharacteristic, complemented
164#11718329C2211yescharacteristic, complemented
165#11718329C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177D13×#95C2211yescharacteristic
178D13×#95C2211yescharacteristic
179#11718322C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718317C2211yescharacteristic, complemented
183#11718317C2211yescharacteristic, complemented
184#11718317C2211yescharacteristic, complemented
185#11718316C2211yescharacteristic, complemented
186#11718315C2211yescharacteristic, complemented
187#11718314C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189#11718308C2211yescharacteristic, complemented
190#11718308C2211yescharacteristic, complemented
191C24×D13C2311yescharacteristic
192C24×D13C2311yescharacteristic
193C22×Q8×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C2×Q8×D13—24no—
206C2×Q8×D13—24no—
207C2×Q8×D13—42no—
208C2×D4×D13—24no—
209C2×D4×D13—24no—
210C2×D4×D13Q818yescomplemented
211C22×D52C2311yescharacteristic
212C22×C4×D13—24no—
213C22×C4×D13—24no—
214C22×C4×D13—24no—
215C22×C4×D13—24no—
216C22×C4×D13—24no—
217C22×C4×D13—24no—
218C22×C4×D13—24no—
219C22×C4×D13—24no—
220C22×C4×D13—24no—
221C22×C4×D13—42no—
222C22×C4×D13—42no—
223C22×C4×D13—42no—
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×C4×D13C2311yescharacteristic
232C22×C4×D13C2311yescharacteristic
233C22×C4×D13C2311yescharacteristic
234C22×C4×D13C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C22×C4×D13C2311yescharacteristic
237C22×C4×D13C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C22×C4×D13C2311yescharacteristic
240C22×C4×D13C2311yescharacteristic
241C22×C4×D13C2311yescharacteristic
242C22×C4×D13C2311yescharacteristic
243C22×C4×D13C2311yescharacteristic
244C22×C4×D13C2311yescharacteristic
245C22×Dic26C2311yescharacteristic
246C22×Dic26C2311yescharacteristic
247C22×Dic26C2311yescharacteristic
248C13×C22⋊Q8—24no—
249C13×C22⋊Q8—24no—
250C4×D4×C13—24no—
251C2×C13×C4⋊C4—24no—
252C2×C13×C4⋊C4C2311yescharacteristic
253C2×C13×C4⋊C4C2311yescharacteristic
254C2×C13×C4⋊C4C2311yescharacteristic
255C2×C13×C4⋊C4C2311yescharacteristic
256C2×C13×C4⋊C4C2311yescharacteristic
257C2×C13×C4⋊C4C2311yescharacteristic
258C2×C13×C4⋊C4C2311yescharacteristic
259C2×C13×C4⋊C4C2311yescharacteristic
260C2×C13×C4⋊C4C2311yescharacteristic
261C2×C13×C4⋊C4C2311yescharacteristic
262C2×C13×C4⋊C4C2311yescharacteristic
263C2×C13×C4⋊C4C2311yescharacteristic
264C2×C13×C22⋊C4C2311yescharacteristic
265C2×C13×C22⋊C4C2311yescharacteristic
266C2×C13×C22⋊C4C2311yescharacteristic
267C2×C13×C22⋊C4C2311yescharacteristic
268C2×C13×C22⋊C4C2311yescharacteristic
269C2×C13×C22⋊C4C2311yescharacteristic
270C2×C13×C22⋊C4C2311yescharacteristic
271C2×C13×C22⋊C4C2311yescharacteristic
272C2×C42×C13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279C2×C22⋊Dic13C2311yescharacteristic
280C2×C22⋊Dic13C2311yescharacteristic
281#88200—24no—
282#88200—24no—
283D4×Dic13—24no—
284C4×C22⋊D13—24no—
285C4×C22⋊D13—24no—
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×C4⋊Dic13—24no—
303C2×C4⋊Dic13C2311yescharacteristic
304C2×C4⋊Dic13C2311yescharacteristic
305C2×C4⋊Dic13C2311yescharacteristic
306C2×C4⋊Dic13C2311yescharacteristic
307C2×C4⋊Dic13C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×C4⋊Dic13C2311yescharacteristic
312C2×C4⋊Dic13C2311yescharacteristic
313C2×C4⋊Dic13C2311yescharacteristic
314C2×C4⋊Dic13C2311yescharacteristic
315#88178—24no—
316#88178—24no—
317C2×#6101—24no—
318C2×#6101—24no—
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×#6101C2311yescharacteristic
331C2×#6101C2311yescharacteristic
332C2×#6101C2311yescharacteristic
333C2×#6101C2311yescharacteristic
334C2×#6101C2311yescharacteristic
335C2×#6101C2311yescharacteristic
336C2×#6101C2311yescharacteristic
337C2×#6101C2311yescharacteristic
338C2×#6101C2311yescharacteristic
339C2×#6101C2311yescharacteristic
340C2×#6101C2311yescharacteristic
341C2×#6101C2311yescharacteristic
342C2×#6101C2311yescharacteristic
343C2×C4×Dic13C2311yescharacteristic
344C2×C4×Dic13C2311yescharacteristic
345C2×C4×Dic13C2311yescharacteristic
346#88151—24no—
347#88151—24no—
348#88150—24no—
349#88150—24no—
350#88150—24no—
351#88150—24no—
352#88147—24no—
353C4⋊C4×D13—24no—
354C4⋊C4×D13—24no—
355C4⋊C4×D13—24no—
356C4⋊C4×D13—24no—
357C4⋊C4×D13—24no—
358C4⋊C4×D13—24no—
359C4⋊C4×D13—24no—
360C4⋊C4×D13—24no—
361C4⋊C4×D13—24no—
362C4⋊C4×D13—24no—
363C4⋊C4×D13—24no—
364C4⋊C4×D13—24no—
365C4⋊C4×D13—24no—
366C4⋊C4×D13—24no—
367C4⋊C4×D13—42no—
368C4⋊C4×D13D418yescomplemented
369#88135—24no—
370#88135—24no—
371C22⋊C4×D13—24no—
372C22⋊C4×D13—24no—
373C22⋊C4×D13—24no—
374C22⋊C4×D13—24no—
375C22⋊C4×D13—24no—
376C22⋊C4×D13—24no—
377C22⋊C4×D13—42no—
378C22⋊C4×D13D418yes—
379#88132—24no—
380#88132—24no—
381#88132—24no—
382#88132—24no—
383C4×D52—24no—
384C42×D13—24no—
385C13×#95C2311yescharacteristic
386C13×#95C2311yescharacteristic
387C13×#95C2311yescharacteristic
388C13×#95C2311yescharacteristic
389C13×#95C2311yescharacteristic
390C13×#95C2311yescharacteristic
391C13×#95C2311yescharacteristic
392C13×#95C2311yescharacteristic
393#88071C2311yescharacteristic
394#88071C2311yescharacteristic
395#88071C2311yescharacteristic
396#88071C2311yescharacteristic
397#88071C2311yescharacteristic
398#88071C2311yescharacteristic
399#88071C2311yescharacteristic
400#88071C2311yescharacteristic
401#88071C2311yescharacteristic
402#88071C2311yescharacteristic
403#88071C2311yescharacteristic
404#88071C2311yescharacteristic
405#88071C2311yescharacteristic
406#88071C2311yescharacteristic
407#88071C2311yescharacteristic
408#88071C2311yescharacteristic
409#88071C2311yescharacteristic
410#88071C2311yescharacteristic
411#88071C2311yescharacteristic
412#88071C2311yescharacteristic
413#88071C2311yescharacteristic
414#88071C2311yescharacteristic
415#88071C2311yescharacteristic
416#88071C2311yescharacteristic
417C2×#2449—131nomaximal, Sylow
418C24×C13C2411yescharacteristic
419C24×C13C2411yescharacteristic
420C23×D13—22no—
421C23×D13—22no—
422C23×D13—22no—
423C23×D13—22no—
424C23×D13—22no—
425C23×D13—22no—
426C23×D13—22no—
427C23×D13—22no—
428C23×D13—22no—
429C23×D13—22no—
430C23×D13C2×D414yes—
431C23×D13C2×Q814yes—
432C23×D13C2×Q814yes—
433C23×D13#4114yes—
434C23×D13C2411yescharacteristic
435C23×D13C2411yescharacteristic
436C23×D13C2411yescharacteristic
437C2×Q8×C13—22no—
438C2×Q8×C13—22no—
439C2×Q8×C13—41no—
440C2×D4×C13—22no—
441C2×D4×C13—22no—
442C2×D4×C13C2×Q814yescomplemented
443C22×C4×C13—22no—
444C22×C4×C13—22no—
445C22×C4×C13—22no—
446C22×C4×C13—22no—
447C22×C4×C13—22no—
448C22×C4×C13—22no—
449C22×C4×C13—22no—
450C22×C4×C13—22no—
451C22×C4×C13—22no—
452C22×C4×C13—41no—
453C22×C4×C13—41no—
454C22×C4×C13—41no—
455C22×C4×C13C2411yescharacteristic
456C22×C4×C13C2411yescharacteristic
457C22×C4×C13C2411yescharacteristic
458C22×C4×C13C2411yescharacteristic
459C22×C4×C13C2411yescharacteristic
460C22×C4×C13C2411yescharacteristic
461C22×C4×C13C2411yescharacteristic
462C22×C4×C13C2411yescharacteristic
463C22×C4×C13C2411yescharacteristic
464C22×C4×C13C2411yescharacteristic
465C22×C4×C13C2411yescharacteristic
466C22×C4×C13C2411yescharacteristic
467C22×C4×C13C2411yescharacteristic
468C2×C22⋊D13—22no—
469C2×C22⋊D13—22no—
470C2×C22⋊D13—22no—
471C2×C22⋊D13—22no—
472C2×C22⋊D13C2×Q814yescomplemented
473C2×C22⋊D13C2×Q814yescomplemented
474C22×Dic13—22no—
475C22×Dic13—22no—
476C22×Dic13—22no—
477C22×Dic13—22no—
478C22×Dic13—22no—
479C22×Dic13—22no—
480C22×Dic13—22no—
481C22×Dic13—22no—
482C22×Dic13—22no—
483C22×Dic13—41no—
484C22×Dic13—41no—
485C22×Dic13—41no—
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491C22×Dic13C2411yescharacteristic
492C22×Dic13C2411yescharacteristic
493C22×Dic13C2411yescharacteristic
494C22×Dic13C2411yescharacteristic
495C22×Dic13C2411yescharacteristic
496C22×Dic13C2411yescharacteristic
497C22×Dic13C2411yescharacteristic
498C22×Dic13C2411yescharacteristic
499Q8×D13—416no—
500D4×D13—232no—
501C2×D52—22no—
502C2×D52—22no—
503C2×D52C2×Q814yescomplemented
504C2×C4×D13—232no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—22no—
516C2×C4×D13—22no—
517C2×C4×D13—22no—
518C2×C4×D13—22no—
519C2×C4×D13—22no—
520C2×C4×D13—22no—
521C2×C4×D13—22no—
522C2×C4×D13—22no—
523C2×C4×D13—22no—
524C2×C4×D13—22no—
525C2×C4×D13—22no—
526C2×C4×D13—22no—
527C2×C4×D13—22no—
528C2×C4×D13—22no—
529C2×C4×D13—22no—
530C2×C4×D13—22no—
531C2×C4×D13—22no—
532C2×C4×D13—22no—
533C2×C4×D13—22no—
534C2×C4×D13—22no—
535C2×C4×D13—22no—
536C2×C4×D13—22no—
537C2×C4×D13—22no—
538C2×C4×D13—22no—
539C2×C4×D13—22no—
540C2×C4×D13—22no—
541C2×C4×D13—22no—
542C2×C4×D13—22no—
543C2×C4×D13—22no—
544C2×C4×D13—22no—
545C2×C4×D13—22no—
546C2×C4×D13—22no—
547C2×C4×D13—22no—
548C2×C4×D13—22no—
549C2×C4×D13—22no—
550C2×C4×D13—22no—
551C2×C4×D13—22no—
552C2×C4×D13—22no—
553C2×C4×D13—22no—
554C2×C4×D13—22no—
555C2×C4×D13—416no—
556C2×C4×D13—416no—
557C2×C4×D13—416no—
558C2×C4×D13—41no—
559C2×C4×D13—41no—
560C2×C4×D13—41no—
561C2×C4×D13—41no—
562C2×C4×D13—41no—
563C2×C4×D13—41no—
564C2×C4×D13C2×D414yes—
565C2×C4×D13C2×D414yes—
566C2×C4×D13C2×D414yes—
567C2×C4×D13C2×D414yes—
568C2×C4×D13C2×D414yes—
569C2×C4×D13C2×Q814yes—
570C2×C4×D13#4114yes—
571C2×Dic26—22no—
572C2×Dic26—22no—
573C2×Dic26—22no—
574C2×Dic26—22no—
575C2×Dic26—22no—
576C2×Dic26—22no—
577C2×Dic26—41no—
578C2×Dic26—41no—
579C2×Dic26—41no—
580C13×C4⋊C4—22no—
581C13×C4⋊C4—22no—
582C13×C4⋊C4—22no—
583C13×C4⋊C4—22no—
584C13×C4⋊C4—22no—
585C13×C4⋊C4—22no—
586C13×C4⋊C4—22no—
587C13×C4⋊C4—22no—
588C13×C4⋊C4—22no—
589C13×C4⋊C4—22no—
590C13×C4⋊C4—41no—
591C13×C4⋊C4C2×D414yescomplemented
592C13×C22⋊C4—22no—
593C13×C22⋊C4—22no—
594C13×C22⋊C4—22no—
595C13×C22⋊C4—22no—
596C13×C22⋊C4—22no—
597C13×C22⋊C4—22no—
598C13×C22⋊C4—41no—
599C13×C22⋊C4C2×D414yes—
600C42×C13—22no—
601C22⋊Dic13—22no—
602C22⋊Dic13—22no—
603C22⋊Dic13—22no—
604C22⋊Dic13—22no—
605C22⋊Dic13—22no—
606C22⋊Dic13—22no—
607C22⋊Dic13—41no—
608C22⋊Dic13C2×D414yes—
609#6103—22no—
610#6103—22no—
611#6103—22no—
612#6103—22no—
613#6103—22no—
614#6103—22no—
615#6103—22no—
616#6103—22no—
617#6103—22no—
618#6103—22no—
619#6103—22no—
620#6103—22no—
621#6103—41no—
622#6103—41no—
623#6103C2×D414yes—
624#6103C2×D414yes—
625C4⋊Dic13—22no—
626C4⋊Dic13—22no—
627C4⋊Dic13—22no—
628C4⋊Dic13—22no—
629C4⋊Dic13—22no—
630C4⋊Dic13—22no—
631C4⋊Dic13—22no—
632C4⋊Dic13—22no—
633C4⋊Dic13—22no—
634C4⋊Dic13—22no—
635C4⋊Dic13—41no—
636C4⋊Dic13C2×D414yescomplemented
637#6101—22no—
638#6101—22no—
639#6101—22no—
640#6101—22no—
641#6101—22no—
642#6101—22no—
643#6101—22no—
644#6101—22no—
645#6101—22no—
646#6101—22no—
647#6101—22no—
648#6101—22no—
649#6101—22no—
650#6101—22no—
651#6101—22no—
652#6101—22no—
653#6101—22no—
654#6101—22no—
655#6101—22no—
656#6101—22no—
657#6101—41no—
658#6101—41no—
659#6101C2×D414yescomplemented
660#6101C2×D414yescomplemented
661C4×Dic13—22no—
662C4×Dic13—22no—
663C4×Dic13—22no—
664C22×C22⋊Q8—131no—
665C22×C22⋊Q8—131no—
666C22×C4×D4—131no—
667C23×C4⋊C4—131no—
668#2449—131no—
669#2449—131no—
670#2449—131no—
671#2449—131no—
672#2449—131no—
673#2449—131no—
674#2449—131no—
675#2449—131no—
676#2449—131no—
677#2449—131no—
678#2449—131no—
679#2449—131no—
680#2449—131no—
681#2449—131no—
682#2449—131no—
683#2449D1311yescharacteristic, direct product factor
684C2×#399—131no—
685C2×#398—131no—
686C2×#396—131no—
687C2×#395—131no—
688C2×#389—131no—
689C2×#387—131no—
690C2×#386—131no—
691C2×#386—131no—
692C2×#385—131no—
693C2×#385—131no—
694C2×#385—131no—
695C23×C13—21no—
696C23×C13—21no—
697C23×C13—21no—
698C23×C13—21no—
699C23×C13—21no—
700C23×C13—21no—
701C23×C13—21no—
702C23×C13—21no—
703C23×C13—21no—
704C23×C13—21no—
705C23×C13C22×D412yes—
706C23×C13C22×Q812yes—
707C23×C13C22×Q812yes—
708C23×C13C2×#4112yes—
709C23×C13C2511yescharacteristic
710C22×D13—21no—
711C22×D13—21no—
712C22×D13—21no—
713C22×D13—21no—
714C22×D13—28no—
715C22×D13—28no—
716C22×D13—28no—
717C22×D13—28no—
718C22×D13—28no—
719C22×D13—28no—
720C22×D13—21no—
721C22×D13—21no—
722C22×D13—21no—
723C22×D13—21no—
724C22×D13—21no—
725C22×D13—21no—
726C22×D13—28no—
727C22×D13—28no—
728C22×D13—28no—
729C22×D13—44no—
730C22×D13—44no—
731C22×D13—44no—
732C22×D13—44no—
733C22×D13C22⋊Q8116yescomplemented
734C22×D13C22×D412yes—
735C22×D13C22×D412yes—
736C22×D13C22×D412yes—
737C22×D13C22×Q812yes—
738C22×D13C22×Q812yes—
739C22×D13C22×Q812yes—
740C22×D13C2×#4112yes—
741C22×D13C2×#4112yes—
742C22×D13C2×#4112yes—
743C22×D13H(5,𝔽2)12yes—
744C22×D132−1+412yes—
745Q8×C13—44no—
746D4×C13—28no—
747C2×C4×C13—28no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—21no—
772C2×C4×C13—21no—
773C2×C4×C13—21no—
774C2×C4×C13—21no—
775C2×C4×C13—21no—
776C2×C4×C13—21no—
777C2×C4×C13—21no—
778C2×C4×C13—21no—
779C2×C4×C13—21no—
780C2×C4×C13—44no—
781C2×C4×C13—44no—
782C2×C4×C13—44no—
783C2×C4×C13C22×D412yes—
784C2×C4×C13C22×D412yes—
785C2×C4×C13C22×D412yes—
786C2×C4×C13C22×D412yes—
787C2×C4×C13C22×D412yes—
788C2×C4×C13C22×Q812yes—
789C2×C4×C13C2×#4112yes—
790C22⋊D13—28no—
791C22⋊D13—28no—
792C2×Dic13—28no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—21no—
808C2×Dic13—21no—
809C2×Dic13—21no—
810C2×Dic13—21no—
811C2×Dic13—21no—
812C2×Dic13—21no—
813C2×Dic13—21no—
814C2×Dic13—21no—
815C2×Dic13—21no—
816C2×Dic13—21no—
817C2×Dic13—21no—
818C2×Dic13—21no—
819C2×Dic13—21no—
820C2×Dic13—21no—
821C2×Dic13—21no—
822C2×Dic13—21no—
823C2×Dic13—21no—
824C2×Dic13—21no—
825C2×Dic13—44no—
826C2×Dic13—44no—
827C2×Dic13—44no—
828C2×Dic13C22×D412yes—
829C2×Dic13C22×D412yes—
830C2×Dic13C22×D412yes—
831C2×Dic13C22×D412yes—
832C2×Dic13C22×D412yes—
833C2×Dic13C22×Q812yes—
834C2×Dic13C2×#4112yes—
835D52—28no—
836C4×D13—28no—
837C4×D13—28no—
838C4×D13—28no—
839C4×D13—28no—
840C4×D13—28no—
841C4×D13—28no—
842C4×D13—28no—
843C4×D13—28no—
844C4×D13—28no—
845C4×D13—44no—
846C4×D13—44no—
847C4×D13—44no—
848C4×D13—44no—
849C4×D13—44no—
850C4×D13—44no—
851C4×D13—44no—
852C4×D13—44no—
853C4×D13—44no—
854C4×D13—44no—
855C4×D13—44no—
856C4×D13—44no—
857Dic26—44no—
858Dic26—44no—
859Dic26—44no—
860C23×Q8—131no—
861C23×D4—131no—
862C24×C4—131no—
863C24×C4—131no—
864C24×C4—131no—
865C24×C4—131no—
866C2×C22⋊Q8—131no—
867C2×C22⋊Q8—131no—
868C2×C22⋊Q8—131no—
869C2×C22⋊Q8—131no—
870C2×C22⋊Q8—131no—
871C2×C22⋊Q8—131no—
872C2×C22⋊Q8—131no—
873C2×C22⋊Q8—131no—
874C2×C22⋊Q8—131no—
875C2×C22⋊Q8—131no—
876C2×C22⋊Q8—131no—
877C2×C22⋊Q8—131no—
878C2×C22⋊Q8—131no—
879C2×C22⋊Q8—131no—
880C2×C22⋊Q8—268no—
881C2×C22⋊Q8—268no—
882C2×C22⋊Q8C2×D1311yescharacteristic, complemented
883C2×C22⋊Q8C2×D1311yescharacteristic, complemented
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—131no—
887C2×C4×D4—131no—
888C2×C4×D4—131no—
889C2×C4×D4—131no—
890C2×C4×D4—131no—
891C2×C4×D4—268no—
892C2×C4×D4C2×D1311yescharacteristic
893C22×C4⋊C4—131no—
894C22×C4⋊C4—131no—
895C22×C4⋊C4—131no—
896C22×C4⋊C4—131no—
897C22×C4⋊C4—131no—
898C22×C4⋊C4—131no—
899C22×C4⋊C4—131no—
900C22×C4⋊C4—131no—
901C22×C4⋊C4—131no—
902C22×C4⋊C4—131no—
903C22×C4⋊C4—131no—
904C22×C4⋊C4—131no—
905C22×C4⋊C4—131no—
906C22×C4⋊C4—131no—
907C22×C4⋊C4—131no—
908C22×C4⋊C4—131no—
909C22×C4⋊C4—131no—
910C22×C4⋊C4—131no—
911C22×C4⋊C4—131no—
912C22×C4⋊C4—268no—
913C22×C4⋊C4C2×D1311yescharacteristic, complemented
914C22×C22⋊C4—131no—
915C22×C22⋊C4—131no—
916C22×C22⋊C4—131no—
917C22×C22⋊C4—131no—
918C22×C22⋊C4—131no—
919C22×C22⋊C4—131no—
920C22×C22⋊C4—131no—
921C22×C22⋊C4—131no—
922C22×C42—131no—
923#399—131no—
924#399—131no—
925#399—131no—
926#399—131no—
927#399—131no—
928#399—131no—
929#399—131no—
930#399C2×D1311yescharacteristic, complemented
931#398—131no—
932#398—131no—
933#398—131no—
934#398—131no—
935#398—131no—
936#398—131no—
937#398—131no—
938#398C2×D1311yescharacteristic, complemented
939#396—131no—
940#396—131no—
941#396—131no—
942#396—131no—
943#396—131no—
944#396—131no—
945#396—131no—
946#396C2×D1311yescharacteristic, complemented
947#395—131no—
948#395—131no—
949#395—131no—
950#395—131no—
951#395—131no—
952#395—131no—
953#395—131no—
954#395C2×D1311yescharacteristic, complemented
955#389—131no—
956#389—131no—
957#389—131no—
958#389—131no—
959#389—131no—
960#389—131no—
961#389—131no—
962#389C2×D1311yescharacteristic, complemented
963#387—131no—
964#387—131no—
965#387—131no—
966#387—131no—
967#387—131no—
968#387—131no—
969#387—131no—
970#387C2×D1311yescharacteristic, complemented
971#386—131no—
972#386—131no—
973#386—131no—
974#386—131no—
975#386—131no—
976#386—131no—
977#386—131no—
978#386—131no—
979#386—131no—
980#386—131no—
981#386—131no—
982#386—131no—
983#386—131no—
984#386—131no—
985#386C2×D1311yescharacteristic
986#386C2×D1311yescharacteristic
987#385—131no—
988#385—131no—
989#385—131no—
990#385—131no—
991#385—131no—
992#385—131no—
993#385—131no—
994#385—131no—
995#385—131no—
996#385—131no—
997#385—131no—
998#385—131no—
999#385—131no—
1000#385—131no—
1001#385—131no—
1002#385—131no—
1003#385—131no—
1004#385—131no—
1005#385—131no—
1006#385—131no—
1007#385—131no—
1008#385C2×D1311yescharacteristic, complemented
1009#385C2×D1311yescharacteristic, complemented
1010#385C2×D1311yescharacteristic, complemented
1011C2×#95—131no—
1012C2×#95—131no—
1013C2×#95—131no—
1014C2×#95—131no—
1015C2×#95—131no—
1016C2×#95—131no—
1017C2×#95—131no—
1018C2×#95—131no—
1019C22×C13—22no—
1020C22×C13—22no—
1021C22×C13—22no—
1022C22×C13—22no—
1023C22×C13—22no—
1024C22×C13—22no—
1025C22×C13—22no—
1026C22×C13—22no—
1027C22×C13—22no—
1028C22×C13—41no—
1029C22×C13—41no—
1030C22×C13—41no—
1031C22×C13—41no—
1032C22×C13C2×C22⋊Q814yescomplemented
1033C22×C13C23×D411yescharacteristic
1034C22×C13C23×D411yescharacteristic
1035C22×C13C23×Q811yescharacteristic
1036C22×C13C22×#4111yescharacteristic
1037C22×C13C22×#4111yescharacteristic
1038C22×C13C2×H(5,𝔽2)11yescharacteristic
1039C22×C13C2×2−1+411yescharacteristic
1040C2×D13—22no—
1041C2×D13—22no—
1042C2×D13—22no—
1043C2×D13—22no—
1044C2×D13—22no—
1045C2×D13—22no—
1046C2×D13—232no—
1047C2×D13—22no—
1048C2×D13—22no—
1049C2×D13—22no—
1050C2×D13—41no—
1051C2×D13—41no—
1052C2×D13—41no—
1053C2×D13—41no—
1054C2×D13—416no—
1055C2×D13C2×C22⋊Q814yes—
1056C2×D13C2×C22⋊Q814yescomplemented
1057C2×D13#52514yes—
1058C2×D13#53914yes—
1059C2×D13D4214yes—
1060C2×D13#54714yes—
1061C2×D13D4×Q814yes—
1062C2×D13#55414yes—
1063C4×C13—22no—
1064C4×C13—22no—
1065C4×C13—22no—
1066C4×C13—22no—
1067C4×C13—22no—
1068C4×C13—22no—
1069C4×C13—22no—
1070C4×C13—41no—
1071C4×C13—41no—
1072C4×C13—41no—
1073C4×C13—41no—
1074C4×C13—41no—
1075C4×C13—41no—
1076Dic13—22no—
1077Dic13—22no—
1078Dic13—22no—
1079Dic13—22no—
1080Dic13—22no—
1081Dic13—22no—
1082Dic13—22no—
1083Dic13—41no—
1084Dic13—41no—
1085Dic13—41no—
1086Dic13—41no—
1087Dic13—41no—
1088Dic13—41no—
1089C25—131no—
1090C25—131no—
1091C22×Q8—131no—
1092C22×Q8—131no—
1093C22×Q8—131no—
1094C22×Q8—264no—
1095C22×Q8—264no—
1096C22×Q8—522no—
1097C22×Q8C22×D1311yescharacteristic
1098C22×D4—131no—
1099C22×D4—131no—
1100C22×D4—138no—
1101C22×D4—131no—
1102C22×D4—264no—
1103C22×D4—264no—
1104C22×D4C22×D1311yescharacteristic
1105C23×C4—131no—
1106C23×C4—131no—
1107C23×C4—131no—
1108C23×C4—131no—
1109C23×C4—131no—
1110C23×C4—131no—
1111C23×C4—131no—
1112C23×C4—131no—
1113C23×C4—131no—
1114C23×C4—131no—
1115C23×C4—131no—
1116C23×C4—131no—
1117C23×C4—131no—
1118C23×C4—131no—
1119C23×C4—131no—
1120C23×C4—131no—
1121C23×C4—131no—
1122C23×C4—131no—
1123C23×C4—131no—
1124C23×C4—131no—
1125C23×C4—131no—
1126C23×C4—131no—
1127C23×C4—131no—
1128C23×C4—131no—
1129C23×C4—131no—
1130C23×C4—264no—
1131C23×C4—264no—
1132C23×C4—264no—
1133C23×C4—264no—
1134C23×C4—264no—
1135C23×C4—264no—
1136C23×C4—264no—
1137C23×C4—264no—
1138C23×C4—264no—
1139C23×C4—522no—
1140C23×C4—522no—
1141C23×C4—522no—
1142C23×C4C22×D1311yescharacteristic
1143C23×C4C22×D1311yescharacteristic
1144C23×C4C22×D1311yescharacteristic
1145C23×C4C22×D1311yescharacteristic
1146C22⋊Q8—24no—
1147C22⋊Q8—24no—
1148C22⋊Q8—264no—
1149C22⋊Q8—264no—
1150C22⋊Q8—264no—
1151C22⋊Q8—264no—
1152C22⋊Q8—264no—
1153C22⋊Q8—264no—
1154C22⋊Q8—264no—
1155C22⋊Q8—264no—
1156C22⋊Q8—264no—
1157C22⋊Q8—264no—
1158C22⋊Q8—264no—
1159C22⋊Q8—264no—
1160C22⋊Q8—264no—
1161C22⋊Q8—264no—
1162C4×D4—24no—
1163C4×D4—264no—
1164C4×D4—264no—
1165C4×D4—264no—
1166C4×D4—264no—
1167C4×D4—264no—
1168C4×D4—264no—
1169C4×D4—264no—
1170C2×C4⋊C4—24no—
1171C2×C4⋊C4—131no—
1172C2×C4⋊C4—131no—
1173C2×C4⋊C4—131no—
1174C2×C4⋊C4—138no—
1175C2×C4⋊C4—131no—
1176C2×C4⋊C4—131no—
1177C2×C4⋊C4—131no—
1178C2×C4⋊C4—131no—
1179C2×C4⋊C4—131no—
1180C2×C4⋊C4—131no—
1181C2×C4⋊C4—131no—
1182C2×C4⋊C4—131no—
1183C2×C4⋊C4—131no—
1184C2×C4⋊C4—131no—
1185C2×C4⋊C4—131no—
1186C2×C4⋊C4—131no—
1187C2×C4⋊C4—131no—
1188C2×C4⋊C4—131no—
1189C2×C4⋊C4—131no—
1190C2×C4⋊C4—131no—
1191C2×C4⋊C4—131no—
1192C2×C4⋊C4—131no—
1193C2×C4⋊C4—131no—
1194C2×C4⋊C4—131no—
1195C2×C4⋊C4—131no—
1196C2×C4⋊C4—131no—
1197C2×C4⋊C4—131no—
1198C2×C4⋊C4—131no—
1199C2×C4⋊C4—131no—
1200C2×C4⋊C4—131no—
1201C2×C4⋊C4—131no—
1202C2×C4⋊C4—131no—
1203C2×C4⋊C4—131no—
1204C2×C4⋊C4—131no—
1205C2×C4⋊C4—131no—
1206C2×C4⋊C4—131no—
1207C2×C4⋊C4—131no—
1208C2×C4⋊C4—264no—
1209C2×C4⋊C4—264no—
1210C2×C4⋊C4—264no—
1211C2×C4⋊C4—264no—
1212C2×C4⋊C4—264no—
1213C2×C4⋊C4—264no—
1214C2×C4⋊C4—264no—
1215C2×C4⋊C4—264no—
1216C2×C4⋊C4—264no—
1217C2×C4⋊C4—264no—
1218C2×C4⋊C4—264no—
1219C2×C4⋊C4—264no—
1220C2×C4⋊C4—264no—
1221C2×C4⋊C4—264no—
1222C2×C4⋊C4—264no—
1223C2×C4⋊C4—264no—
1224C2×C4⋊C4—264no—
1225C2×C4⋊C4—522no—
1226C2×C4⋊C4C22×D1311yescharacteristic
1227C2×C4⋊C4C22×D1311yescharacteristic
1228C2×C4⋊C4C22×D1311yescharacteristic
1229C2×C4⋊C4C22×D1311yescharacteristic
1230C2×C4⋊C4C22×D1311yescharacteristic
1231C2×C4⋊C4C22×D1311yescharacteristic
1232C2×C4⋊C4C22×D1311yescharacteristic
1233C2×C4⋊C4C22×D1311yescharacteristic
1234C2×C4⋊C4C22×D1311yescharacteristic
1235C2×C4⋊C4C22×D1311yescharacteristic
1236C2×C4⋊C4C22×D1311yescharacteristic
1237C2×C4⋊C4C22×D1311yescharacteristic
1238C2×C22⋊C4—131no—
1239C2×C22⋊C4—131no—
1240C2×C22⋊C4—131no—
1241C2×C22⋊C4—138no—
1242C2×C22⋊C4—131no—
1243C2×C22⋊C4—131no—
1244C2×C22⋊C4—131no—
1245C2×C22⋊C4—131no—
1246C2×C22⋊C4—131no—
1247C2×C22⋊C4—131no—
1248C2×C22⋊C4—131no—
1249C2×C22⋊C4—131no—
1250C2×C22⋊C4—131no—
1251C2×C22⋊C4—131no—
1252C2×C22⋊C4—131no—
1253C2×C22⋊C4—131no—
1254C2×C22⋊C4—131no—
1255C2×C22⋊C4—131no—
1256C2×C22⋊C4—131no—
1257C2×C22⋊C4—131no—
1258C2×C22⋊C4—131no—
1259C2×C22⋊C4—131no—
1260C2×C22⋊C4—131no—
1261C2×C22⋊C4—131no—
1262C2×C22⋊C4—131no—
1263C2×C22⋊C4—264no—
1264C2×C22⋊C4—264no—
1265C2×C22⋊C4—264no—
1266C2×C22⋊C4—264no—
1267C2×C22⋊C4—264no—
1268C2×C22⋊C4—264no—
1269C2×C22⋊C4—522no—
1270C2×C22⋊C4C22×D1311yescharacteristic
1271C2×C22⋊C4C22×D1311yescharacteristic
1272C2×C22⋊C4C22×D1311yescharacteristic
1273C2×C22⋊C4C22×D1311yescharacteristic
1274C2×C22⋊C4C22×D1311yescharacteristic
1275C2×C22⋊C4C22×D1311yescharacteristic
1276C2×C22⋊C4C22×D1311yescharacteristic
1277C2×C22⋊C4C22×D1311yescharacteristic
1278C2×C42—131no—
1279C2×C42—131no—
1280C2×C42—131no—
1281C2×C42—264no—
1282C2×C42C22×D1311yescharacteristic
1283#95—131no—
1284#95—131no—
1285#95—131no—
1286#95—131no—
1287#95—131no—
1288#95—131no—
1289#95—131no—
1290#95—131no—
1291#95—131no—
1292#95—131no—
1293#95—131no—
1294#95—131no—
1295#95—131no—
1296#95—131no—
1297#95—131no—
1298#95—131no—
1299#95—131no—
1300#95—131no—
1301#95—131no—
1302#95—131no—
1303#95—131no—
1304#95—131no—
1305#95—131no—
1306#95—131no—
1307#95C22×D1311yescharacteristic
1308#95C22×D1311yescharacteristic
1309#95C22×D1311yescharacteristic
1310#95C22×D1311yescharacteristic
1311#95C22×D1311yescharacteristic
1312#95C22×D1311yescharacteristic
1313#95C22×D1311yescharacteristic
1314#95C22×D1311yescharacteristic
1315C2×C13—24no—
1316C2×C13—42no—
1317C2×C13C22×C22⋊Q811yescharacteristic
1318C2×C13C2×#52511yescharacteristic
1319C2×C13C2×#53911yescharacteristic
1320C2×C13C2×D4211yescharacteristic
1321C2×C13C2×#54711yescharacteristic
1322C2×C13C2×D4×Q811yescharacteristic
1323C2×C13C2×#55411yescharacteristic
1324D13—24no—
1325D13—42no—
1326D13#244918yesdirect product factor
1327C24—131no—
1328C24—134no—
1329C24—134no—
1330C24—134no—
1331C24—131no—
1332C24—134no—
1333C24—131no—
1334C24—262no—
1335C24—262no—
1336C24—262no—
1337C24—262no—
1338C24—262no—
1339C24—262no—
1340C24—262no—
1341C24—262no—
1342C24—262no—
1343C24—262no—
1344C24C23×D1311yescharacteristic
1345C24C23×D1311yescharacteristic
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—41no—
1349C2×Q8—262no—
1350C2×Q8—262no—
1351C2×Q8—262no—
1352C2×Q8—262no—
1353C2×Q8—262no—
1354C2×Q8—262no—
1355C2×Q8—521no—
1356C2×Q8—521no—
1357C2×Q8—521no—
1358C2×Q8—5216no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—134no—
1362C2×D4—134no—
1363C2×D4—134no—
1364C2×D4—262no—
1365C2×D4—262no—
1366C2×D4—2632no—
1367C2×D4—262no—
1368C2×D4—262no—
1369C2×D4—262no—
1370C2×D4—262no—
1371C2×D4Q8×D1314yescomplemented
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—131no—
1385C22×C4—131no—
1386C22×C4—131no—
1387C22×C4—131no—
1388C22×C4—131no—
1389C22×C4—131no—
1390C22×C4—131no—
1391C22×C4—134no—
1392C22×C4—134no—
1393C22×C4—134no—
1394C22×C4—134no—
1395C22×C4—134no—
1396C22×C4—134no—
1397C22×C4—134no—
1398C22×C4—131no—
1399C22×C4—131no—
1400C22×C4—131no—
1401C22×C4—131no—
1402C22×C4—131no—
1403C22×C4—131no—
1404C22×C4—262no—
1405C22×C4—262no—
1406C22×C4—262no—
1407C22×C4—262no—
1408C22×C4—262no—
1409C22×C4—262no—
1410C22×C4—262no—
1411C22×C4—262no—
1412C22×C4—262no—
1413C22×C4—262no—
1414C22×C4—262no—
1415C22×C4—262no—
1416C22×C4—262no—
1417C22×C4—262no—
1418C22×C4—262no—
1419C22×C4—262no—
1420C22×C4—262no—
1421C22×C4—262no—
1422C22×C4—262no—
1423C22×C4—262no—
1424C22×C4—262no—
1425C22×C4—262no—
1426C22×C4—2632no—
1427C22×C4—262no—
1428C22×C4—262no—
1429C22×C4—262no—
1430C22×C4—262no—
1431C22×C4—262no—
1432C22×C4—262no—
1433C22×C4—262no—
1434C22×C4—262no—
1435C22×C4—262no—
1436C22×C4—262no—
1437C22×C4—262no—
1438C22×C4—262no—
1439C22×C4—262no—
1440C22×C4—262no—
1441C22×C4—262no—
1442C22×C4—262no—
1443C22×C4—262no—
1444C22×C4—262no—
1445C22×C4—262no—
1446C22×C4—262no—
1447C22×C4—262no—
1448C22×C4—262no—
1449C22×C4—262no—
1450C22×C4—262no—
1451C22×C4—262no—
1452C22×C4—262no—
1453C22×C4—262no—
1454C22×C4—262no—
1455C22×C4—262no—
1456C22×C4—262no—
1457C22×C4—262no—
1458C22×C4—262no—
1459C22×C4—262no—
1460C22×C4—262no—
1461C22×C4—262no—
1462C22×C4—262no—
1463C22×C4—262no—
1464C22×C4—521no—
1465C22×C4—521no—
1466C22×C4—521no—
1467C22×C4—521no—
1468C22×C4—521no—
1469C22×C4—521no—
1470C22×C4—5216no—
1471C22×C4—5216no—
1472C22×C4—5216no—
1473C22×C4—521no—
1474C22×C4—521no—
1475C22×C4—521no—
1476C22×C4C23×D1311yescharacteristic
1477C22×C4C23×D1311yescharacteristic
1478C22×C4C23×D1311yescharacteristic
1479C22×C4C23×D1311yescharacteristic
1480C22×C4C23×D1311yescharacteristic
1481C22×C4C23×D1311yescharacteristic
1482C22×C4C23×D1311yescharacteristic
1483C22×C4C23×D1311yescharacteristic
1484C22×C4C23×D1311yescharacteristic
1485C22×C4C23×D1311yescharacteristic
1486C22×C4C23×D1311yescharacteristic
1487C22×C4C23×D1311yescharacteristic
1488C22×C4C23×D1311yescharacteristic
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—41no—
1500C4⋊C4—134no—
1501C4⋊C4—134no—
1502C4⋊C4—134no—
1503C4⋊C4—262no—
1504C4⋊C4—262no—
1505C4⋊C4—262no—
1506C4⋊C4—262no—
1507C4⋊C4—262no—
1508C4⋊C4—262no—
1509C4⋊C4—262no—
1510C4⋊C4—262no—
1511C4⋊C4—262no—
1512C4⋊C4—262no—
1513C4⋊C4—262no—
1514C4⋊C4—262no—
1515C4⋊C4—262no—
1516C4⋊C4—262no—
1517C4⋊C4—262no—
1518C4⋊C4—262no—
1519C4⋊C4—262no—
1520C4⋊C4—262no—
1521C4⋊C4—262no—
1522C4⋊C4—262no—
1523C4⋊C4—262no—
1524C4⋊C4—262no—
1525C4⋊C4—262no—
1526C4⋊C4—262no—
1527C4⋊C4—262no—
1528C4⋊C4—262no—
1529C4⋊C4—262no—
1530C4⋊C4—262no—
1531C4⋊C4—262no—
1532C4⋊C4—262no—
1533C4⋊C4—521no—
1534C4⋊C4—521no—
1535C4⋊C4—521no—
1536C4⋊C4D4×D1314yescomplemented
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—41no—
1544C22⋊C4—134no—
1545C22⋊C4—134no—
1546C22⋊C4—134no—
1547C22⋊C4—262no—
1548C22⋊C4—262no—
1549C22⋊C4—262no—
1550C22⋊C4—262no—
1551C22⋊C4—262no—
1552C22⋊C4—262no—
1553C22⋊C4—262no—
1554C22⋊C4—262no—
1555C22⋊C4—262no—
1556C22⋊C4—262no—
1557C22⋊C4—262no—
1558C22⋊C4—262no—
1559C22⋊C4—262no—
1560C22⋊C4—262no—
1561C22⋊C4—262no—
1562C22⋊C4—262no—
1563C22⋊C4—262no—
1564C22⋊C4—262no—
1565C22⋊C4—521no—
1566C22⋊C4—521no—
1567C22⋊C4—521no—
1568C22⋊C4D4×D1314yes—
1569C42—22no—
1570C42—262no—
1571C42—262no—
1572C42—262no—
1573C13C2×#244911yescharacteristic, complemented, Sylow
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—132no—
1585C23—132no—
1586C23—132no—
1587C23—132no—
1588C23—132no—
1589C23—132no—
1590C23—132no—
1591C23—1316no—
1592C23—132no—
1593C23—132no—
1594C23—132no—
1595C23—132no—
1596C23—268no—
1597C23—268no—
1598C23—268no—
1599C23—268no—
1600C23—268no—
1601C23—268no—
1602C23—268no—
1603C23—268no—
1604C23—268no—
1605C23—261no—
1606C23—261no—
1607C23—261no—
1608C23—261no—
1609C23—261no—
1610C23—261no—
1611C23—261no—
1612C23—261no—
1613C23—261no—
1614C23—261no—
1615C23—524no—
1616C23—524no—
1617C23—524no—
1618C23—524no—
1619C23C2×D4×D1312yes—
1620C23C2×Q8×D1312yes—
1621C23C2×Q8×D1312yes—
1622C23#41×D1312yes—
1623C23C24×D1311yescharacteristic
1624Q8—44no—
1625Q8—524no—
1626Q8—524no—
1627Q8—524no—
1628D4—28no—
1629D4—268no—
1630D4—268no—
1631D4—268no—
1632C2×C4—28no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—132no—
1669C2×C4—132no—
1670C2×C4—132no—
1671C2×C4—132no—
1672C2×C4—132no—
1673C2×C4—132no—
1674C2×C4—132no—
1675C2×C4—268no—
1676C2×C4—268no—
1677C2×C4—268no—
1678C2×C4—268no—
1679C2×C4—268no—
1680C2×C4—268no—
1681C2×C4—268no—
1682C2×C4—268no—
1683C2×C4—268no—
1684C2×C4—268no—
1685C2×C4—261no—
1686C2×C4—261no—
1687C2×C4—261no—
1688C2×C4—261no—
1689C2×C4—261no—
1690C2×C4—261no—
1691C2×C4—261no—
1692C2×C4—261no—
1693C2×C4—261no—
1694C2×C4—261no—
1695C2×C4—261no—
1696C2×C4—261no—
1697C2×C4—261no—
1698C2×C4—261no—
1699C2×C4—261no—
1700C2×C4—261no—
1701C2×C4—261no—
1702C2×C4—261no—
1703C2×C4—261no—
1704C2×C4—261no—
1705C2×C4—261no—
1706C2×C4—261no—
1707C2×C4—261no—
1708C2×C4—261no—
1709C2×C4—261no—
1710C2×C4—261no—
1711C2×C4—261no—
1712C2×C4—261no—
1713C2×C4—261no—
1714C2×C4—261no—
1715C2×C4—261no—
1716C2×C4—261no—
1717C2×C4—524no—
1718C2×C4—524no—
1719C2×C4—524no—
1720C2×C4—524no—
1721C2×C4—524no—
1722C2×C4—524no—
1723C2×C4—524no—
1724C2×C4—524no—
1725C2×C4—524no—
1726C2×C4—524no—
1727C2×C4—524no—
1728C2×C4—524no—
1729C2×C4—524no—
1730C2×C4—524no—
1731C2×C4—524no—
1732C2×C4C2×D4×D1312yes—
1733C2×C4C2×D4×D1312yes—
1734C2×C4C2×D4×D1312yes—
1735C2×C4C2×D4×D1312yes—
1736C2×C4C2×D4×D1312yes—
1737C2×C4C2×Q8×D1312yes—
1738C2×C4#41×D1312yes—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—134no—
1753C22—134no—
1754C22—134no—
1755C22—134no—
1756C22—134no—
1757C22—134no—
1758C22—134no—
1759C22—134no—
1760C22—2632no—
1761C22—262no—
1762C22—262no—
1763C22—262no—
1764C22—262no—
1765C22—262no—
1766C22—262no—
1767C22—262no—
1768C22—262no—
1769C22—262no—
1770C22—5216no—
1771C22—521no—
1772C22—521no—
1773C22—521no—
1774C22—521no—
1775C22D13×C22⋊Q814yescomplemented
1776C22C22×D4×D1311yescharacteristic
1777C22C22×D4×D1311yescharacteristic
1778C22C22×Q8×D1311yescharacteristic
1779C22C2×#41×D1311yescharacteristic
1780C22C2×#41×D1311yescharacteristic
1781C22D13×H(5,𝔽2)11yescharacteristic
1782C22D13×2−1+411yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—262no—
1797C4—262no—
1798C4—262no—
1799C4—262no—
1800C4—262no—
1801C4—262no—
1802C4—262no—
1803C4—521no—
1804C4—521no—
1805C4—521no—
1806C4—521no—
1807C4—521no—
1808C4—521no—
1809C2—24no—
1810C2—42no—
1811C2—138no—
1812C2—264no—
1813C2—522no—
1814C2C2×D13×C22⋊Q811yescharacteristic
1815C2D13×#52511yescharacteristic
1816C2D13×#53911yescharacteristic
1817C2D42×D1311yescharacteristic
1818C2D13×#54711yescharacteristic
1819C2D4×Q8×D1311yescharacteristic
1820C2D13×#55411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2449C2
prime radicalC22×D4×D13C22
hypercenter#2449D13
hypocenterC13C2×#2449
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×D13×C22⋊Q8C2semidirect
2. C2×D13×C22⋊Q8C2semidirect
4. C22×C4⋊C4×D13C2semidirect
5. #13118652C2semidirect
6. #13118651C2semidirect
7. #13118650C2semidirect
8. #13118649C2semidirect
9. #13118648C2semidirect
10. #13118647C2semidirect
11. #13118646C2semidirect
12. #13118645C2semidirect
13. #13118644C2semidirect
14. #13118643C2semidirect
15. #13118642C2semidirect
16. #13118641C2semidirect
17. #13118640C2semidirect
18. #13118639C2semidirect
19. #13118638C2semidirect
20. D13×#399C2semidirect
21. D13×#398C2semidirect
22. D13×#396C2semidirect
23. D13×#395C2semidirect
24. D13×#389C2semidirect
25. D13×#387C2semidirect
28. D13×#385C2semidirect
29. D13×#385C2semidirect
30. D13×#385C2semidirect
31. C13×#2449C2semidirect
38. C2×C13×C22⋊Q8C22semidirect
39. C2×C13×C22⋊Q8C22semidirect
41. C22×C13×C4⋊C4C22semidirect
42. C2×#88200C22semidirect
43. C2×#88200C22semidirect
47. C22×C4⋊Dic13C22semidirect
48. C2×#88178C22semidirect
49. C2×#88178C22semidirect
50. C22×#6101C22semidirect
51. C22×#6101C22semidirect
55. C2×#88151C22semidirect
56. C2×#88151C22semidirect
57. C2×#88150C22semidirect
58. C2×#88150C22semidirect
59. C2×#88150C22semidirect
60. C2×#88150C22semidirect
75. C2×C4⋊C4×D13C22semidirect
76. C2×C4⋊C4×D13C22semidirect
77. C2×C4⋊C4×D13C22semidirect
78. C2×C4⋊C4×D13C22semidirect
89. C2×#88132C22semidirect
90. C2×#88132C22semidirect
91. C2×#88132C22semidirect
92. C2×#88132C22semidirect
95. C13×#399C22semidirect
96. C13×#398C22semidirect
97. C13×#396C22semidirect
98. C13×#395C22semidirect
99. C13×#389C22semidirect
100. C13×#387C22semidirect
103. C13×#385C22semidirect
104. C13×#385C22semidirect
105. C13×#385C22semidirect
106. #11718890C22semidirect
111. #11718871C22semidirect
112. #11718871C22semidirect
113. #11718871C22semidirect
114. #11718655C22semidirect
115. #11718655C22semidirect
116. #11718655C22semidirect
117. #11718653C22semidirect
118. #11718653C22semidirect
119. #11718653C22semidirect
120. #11718650C22semidirect
121. #11718650C22semidirect
122. #11718650C22semidirect
123. #11718650C22semidirect
124. #11718650C22semidirect
125. #11718650C22semidirect
126. #11718646C22semidirect
127. #11718645C22semidirect
128. #11718645C22semidirect
129. #11718644C22semidirect
130. #11718642C22semidirect
131. #11718641C22semidirect
132. #11718640C22semidirect
133. #11718640C22semidirect
134. #11718640C22semidirect
135. #11718639C22semidirect
136. #11718634C22semidirect
137. #11718633C22semidirect
138. #11718633C22semidirect
145. #11718611C22semidirect
146. #11718611C22semidirect
147. #11718611C22semidirect
148. #11718610C22semidirect
149. #11718610C22semidirect
150. #11718610C22semidirect
151. #11718609C22semidirect
152. #11718609C22semidirect
153. #11718609C22semidirect
154. #11718607C22semidirect
155. #11718607C22semidirect
156. #11718607C22semidirect
157. #11718594C22semidirect
158. #11718589C22semidirect
159. #11718338C22semidirect
160. #11718337C22semidirect
161. #11718329C22semidirect
162. #11718329C22semidirect
163. #11718329C22semidirect
164. #11718329C22semidirect
165. #11718329C22semidirect
166. #11718329C22semidirect
179. #11718322C22semidirect
180. #11718318C22semidirect
181. #11718318C22semidirect
182. #11718317C22semidirect
183. #11718317C22semidirect
184. #11718317C22semidirect
185. #11718316C22semidirect
186. #11718315C22semidirect
187. #11718314C22semidirect
188. #11718313C22semidirect
189. #11718308C22semidirect
190. #11718308C22semidirect
210. C2×D4×D13Q8semidirect
368. C4⋊C4×D13D4semidirect
442. C2×D4×C13C2×Q8semidirect
472. C2×C22⋊D13C2×Q8semidirect
473. C2×C22⋊D13C2×Q8semidirect
503. C2×D52C2×Q8semidirect
591. C13×C4⋊C4C2×D4semidirect
636. C4⋊Dic13C2×D4semidirect
659. #6101C2×D4semidirect
660. #6101C2×D4semidirect
683. #2449D13direct (N × H)
733. C22×D13C22⋊Q8semidirect
882. C2×C22⋊Q8C2×D13semidirect
883. C2×C22⋊Q8C2×D13semidirect
913. C22×C4⋊C4C2×D13semidirect
930. #399C2×D13semidirect
938. #398C2×D13semidirect
946. #396C2×D13semidirect
954. #395C2×D13semidirect
962. #389C2×D13semidirect
970. #387C2×D13semidirect
1008. #385C2×D13semidirect
1009. #385C2×D13semidirect
1010. #385C2×D13semidirect
1032. C22×C13C2×C22⋊Q8semidirect
1056. C2×D13C2×C22⋊Q8semidirect
1326. D13#2449direct (N × H)
1371. C2×D4Q8×D13semidirect
1536. C4⋊C4D4×D13semidirect
1573. C13C2×#2449semidirect
1775. C22D13×C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C2×D13×C22⋊Q82
C2×C4×D4×D132
C22×C4⋊C4×D132
#131186522
#131186512
#131186502
#131186492
#131186482
#131186472
#131186462
#131186452
#131186442
#131186432
#131186422
#131186412
#131186402
#131186392
#131186382
D13×#3992
D13×#3982
D13×#3962
D13×#3952
D13×#3892
D13×#3872
D13×#3862
D13×#3852
C13×#24492
C2×#244913