Finite Group Databasebeta

← D13×#2488 #16031845

Subgroups — D13×#2488 #16031845

Order 3328.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#123C211yesmaximal, characteristic
2C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13119169C211yesmaximal, characteristic, complemented
4#13119168C211yesmaximal, characteristic, complemented
5#13119167C211yesmaximal, characteristic, complemented
6#13119166C211yesmaximal, characteristic, complemented
7#13119165C211yesmaximal, characteristic, complemented
8#13119164C211yesmaximal, characteristic, complemented
9#13119163C211yesmaximal, characteristic, complemented
10#13119162C211yesmaximal, characteristic, complemented
11#13119161C211yesmaximal, characteristic, complemented
12#13119160C211yesmaximal, characteristic, complemented
13#13119159C211yesmaximal, characteristic, complemented
14#13119158C211yesmaximal, characteristic, complemented
15#13119157C211yesmaximal, characteristic, complemented
16#13119156C211yesmaximal, characteristic, complemented
17#13119155C211yesmaximal, characteristic, complemented
18D13×#400C211yesmaximal, characteristic, complemented
19D13×#400C211yesmaximal, characteristic, complemented
20D13×#397C211yesmaximal, characteristic, complemented
21D13×#393C211yesmaximal, characteristic, complemented
22D13×#391C211yesmaximal, characteristic, complemented
23D13×#388C211yesmaximal, characteristic, complemented
24D13×#388C211yesmaximal, characteristic, complemented
25D13×#386C211yesmaximal, characteristic
26D13×#386C211yesmaximal, characteristic
27D13×#382C211yesmaximal, characteristic, complemented
28D13×#381C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
30C2×D13×#95C211yesmaximal, characteristic, complemented
31C13×#2488C211yesmaximal, characteristic, complemented
32C22×Q8×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C23×C4×D13C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C13×C22⋊Q8C2211yescharacteristic, complemented
39C2×#88200C2211yescharacteristic, complemented
40C2×#88189C2211yescharacteristic
41C2×#88183C2211yescharacteristic
42C2×#88178C2211yescharacteristic, complemented
43D13×#123—28no—
44D13×C22⋊Q8—28no—
45C2×#88151C2211yescharacteristic, complemented
46C2×#88150C2211yescharacteristic, complemented
47C2×#88150C2211yescharacteristic, complemented
48C2×#88148C2211yescharacteristic
49C2×#88148C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×C4⋊C4×D13C2211yescharacteristic
55C2×#88140C2211yescharacteristic
56C2×#88137C2211yescharacteristic
57C2×#88137C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×#88132C2211yescharacteristic, complemented
68C2×#88132C2211yescharacteristic, complemented
69C2×C42×D13C2211yescharacteristic
70C2×C42×D13C2211yescharacteristic
71C13×#400C2211yescharacteristic, complemented
72C13×#400C2211yescharacteristic, complemented
73C13×#397C2211yescharacteristic, complemented
74C13×#393C2211yescharacteristic, complemented
75C13×#391C2211yescharacteristic, complemented
76C13×#388C2211yescharacteristic, complemented
77C13×#388C2211yescharacteristic, complemented
78C13×#386C2211yescharacteristic
79C13×#386C2211yescharacteristic
80C13×#382C2211yescharacteristic, complemented
81C13×#381C2211yescharacteristic, complemented
82C4×C13×C22⋊C4C2211yescharacteristic, complemented
83C2×C13×#95C2211yescharacteristic, complemented
84#11718892C2211yescharacteristic, complemented
85#11718891C2211yescharacteristic, complemented
86#11718881C2211yescharacteristic
87#11718881C2211yescharacteristic
88#11718874C2211yescharacteristic
89#11718874C2211yescharacteristic
90#11718872C2211yescharacteristic, complemented
91C4×C22⋊Dic13C2211yescharacteristic, complemented
92C2×#88071C2211yescharacteristic, complemented
93C2×#88071C2211yescharacteristic, complemented
94C2×#88071C2211yescharacteristic, complemented
95#11718654C2211yescharacteristic, complemented
96#11718651C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718647C2211yescharacteristic, complemented
99#11718647C2211yescharacteristic, complemented
100#11718643C2211yescharacteristic, complemented
101#11718643C2211yescharacteristic, complemented
102#11718638C2211yescharacteristic, complemented
103#11718638C2211yescharacteristic, complemented
104#11718635C2211yescharacteristic, complemented
105#11718619C2211yescharacteristic
106#11718619C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718614C2211yescharacteristic, complemented
112#11718613C2211yescharacteristic, complemented
113#11718613C2211yescharacteristic, complemented
114#11718612C2211yescharacteristic, complemented
115#11718612C2211yescharacteristic, complemented
116#11718608C2211yescharacteristic, complemented
117#11718608C2211yescharacteristic, complemented
118#11718608C2211yescharacteristic, complemented
119#11718606C2211yescharacteristic, complemented
120#11718606C2211yescharacteristic, complemented
121#11718605C2211yescharacteristic, complemented
122#11718605C2211yescharacteristic, complemented
123#11718604C2211yescharacteristic, complemented
124#11718604C2211yescharacteristic, complemented
125C22⋊C4×Dic13C2211yescharacteristic, complemented
126C22⋊C4×Dic13C2211yescharacteristic, complemented
127#11718601C2211yescharacteristic, complemented
128#11718601C2211yescharacteristic, complemented
129C4×#6103C2211yescharacteristic, complemented
130C4×#6103C2211yescharacteristic, complemented
131#11718597C2211yescharacteristic, complemented
132#11718590C2211yescharacteristic, complemented
133#11718336C2211yescharacteristic, complemented
134#11718336C2211yescharacteristic, complemented
135#11718335C2211yescharacteristic, complemented
136#11718334C2211yescharacteristic, complemented
137#11718334C2211yescharacteristic, complemented
138#11718334C2211yescharacteristic, complemented
139#11718331C2211yescharacteristic, complemented
140#11718331C2211yescharacteristic, complemented
141#11718330C2211yescharacteristic, complemented
142#11718330C2211yescharacteristic, complemented
143#11718327C2211yescharacteristic, complemented
144#11718327C2211yescharacteristic, complemented
145#11718326C2211yescharacteristic
146#11718326C2211yescharacteristic
147#11718326C2211yescharacteristic
148#11718326C2211yescharacteristic
149#11718325C2211yescharacteristic, complemented
150#11718325C2211yescharacteristic, complemented
151#11718325C2211yescharacteristic, complemented
152#11718325C2211yescharacteristic, complemented
153D13×#95C2211yescharacteristic
154D13×#95C2211yescharacteristic
155D13×#95C2211yescharacteristic
156D13×#95C2211yescharacteristic
157D13×#95C2211yescharacteristic
158D13×#95C2211yescharacteristic
159D13×#95C2211yescharacteristic
160D13×#95C2211yescharacteristic
161D13×#95C2211yescharacteristic
162D13×#95C2211yescharacteristic
163D13×#95C2211yescharacteristic
164D13×#95C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic, complemented
168D13×#95C2211yescharacteristic, complemented
169D13×#95C2211yescharacteristic, complemented
170D13×#95C2211yescharacteristic, complemented
171#11718321C2211yescharacteristic, complemented
172#11718321C2211yescharacteristic, complemented
173#11718321C2211yescharacteristic, complemented
174#11718321C2211yescharacteristic, complemented
175#11718320C2211yescharacteristic, complemented
176#11718320C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718311C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718311C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C2×Q8×D13—24no—
202C2×Q8×D13—24no—
203C2×Q8×D13—42no—
204C2×D4×D13—24no—
205C2×D4×D13—24no—
206C2×D4×D13—24no—
207C22×D52C2311yescharacteristic
208C22×C4×D13—24no—
209C22×C4×D13—24no—
210C22×C4×D13—24no—
211C22×C4×D13—24no—
212C22×C4×D13—24no—
213C22×C4×D13—24no—
214C22×C4×D13—24no—
215C22×C4×D13—42no—
216C22×C4×D13—42no—
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
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×Dic26C2311yescharacteristic
237C22×Dic26C2311yescharacteristic
238C22×Dic26C2311yescharacteristic
239C13×#123—24no—
240C13×C22⋊Q8—24no—
241C2×C13×C4⋊C4C2311yescharacteristic
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C42×C13C2311yescharacteristic
256C2×C42×C13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266#88200—24no—
267#88189—24no—
268#88183—24no—
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292#88178—24no—
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309#88151—24no—
310#88150—24no—
311#88150—24no—
312#88148—24no—
313#88148—24no—
314C4⋊C4×D13—24no—
315C4⋊C4×D13—24no—
316C4⋊C4×D13—24no—
317C4⋊C4×D13—24no—
318C4⋊C4×D13—24no—
319#88140—24no—
320#88137—24no—
321#88137—24no—
322C22⋊C4×D13—24no—
323C22⋊C4×D13—24no—
324C22⋊C4×D13—24no—
325C22⋊C4×D13—24no—
326C22⋊C4×D13—24no—
327C22⋊C4×D13—24no—
328C22⋊C4×D13—42no—
329C22⋊C4×D13—42no—
330C22⋊C4×D13D418yes—
331#88132—24no—
332#88132—24no—
333C42×D13—24no—
334C42×D13—42no—
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391C2×#2488—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—22no—
405C23×D13C2×D414yes—
406C23×D13#4114yes—
407C23×D13#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C2×Q8×C13—22no—
412C2×Q8×C13—22no—
413C2×Q8×C13—41no—
414C2×D4×C13—22no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—22no—
421C22×C4×C13—22no—
422C22×C4×C13—22no—
423C22×C4×C13—22no—
424C22×C4×C13—41no—
425C22×C4×C13—41no—
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—41no—
453C22×Dic13—41no—
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467Q8×D13—416no—
468D4×D13—416no—
469C2×D52—22no—
470C2×D52—22no—
471C2×D52—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
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—416no—
522C2×C4×D13—416no—
523C2×C4×D13—41no—
524C2×C4×D13—41no—
525C2×C4×D13—41no—
526C2×C4×D13—41no—
527C2×C4×D13—416no—
528C2×C4×D13C2×D414yes—
529C2×C4×D13C2×D414yes—
530C2×C4×D13#4114yes—
531C2×C4×D13#4114yes—
532C2×Dic26—22no—
533C2×Dic26—22no—
534C2×Dic26—22no—
535C2×Dic26—22no—
536C2×Dic26—22no—
537C2×Dic26—22no—
538C2×Dic26—41no—
539C2×Dic26—41no—
540C2×Dic26—41no—
541C13×C4⋊C4—22no—
542C13×C4⋊C4—22no—
543C13×C4⋊C4—22no—
544C13×C4⋊C4—22no—
545C13×C4⋊C4—22no—
546C13×C22⋊C4—22no—
547C13×C22⋊C4—22no—
548C13×C22⋊C4—22no—
549C13×C22⋊C4—22no—
550C13×C22⋊C4—22no—
551C13×C22⋊C4—22no—
552C13×C22⋊C4—41no—
553C13×C22⋊C4—41no—
554C13×C22⋊C4C2×D414yes—
555C42×C13—22no—
556C42×C13—41no—
557C22⋊Dic13—22no—
558C22⋊Dic13—22no—
559C22⋊Dic13—22no—
560C22⋊Dic13—22no—
561C22⋊Dic13—22no—
562C22⋊Dic13—22no—
563C22⋊Dic13—41no—
564C22⋊Dic13—41no—
565C22⋊Dic13C2×D414yes—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
573#6103—22no—
574#6103—22no—
575#6103—22no—
576#6103—22no—
577#6103—22no—
578#6103—41no—
579#6103—41no—
580#6103—41no—
581#6103—41no—
582#6103C2×D414yes—
583#6103C2×D414yes—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586C4⋊Dic13—22no—
587C4⋊Dic13—22no—
588C4⋊Dic13—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599C4×Dic13—22no—
600C4×Dic13—22no—
601C4×Dic13—22no—
602C4×Dic13—41no—
603C4×Dic13—41no—
604C4×Dic13—41no—
605C22×#123—131no—
606C22×C22⋊Q8—131no—
607#2488—131no—
608#2488—131no—
609#2488—131no—
610#2488—131no—
611#2488—131no—
612#2488—131no—
613#2488—131no—
614#2488—131no—
615#2488—131no—
616#2488—131no—
617#2488—131no—
618#2488—131no—
619#2488—131no—
620#2488—131no—
621#2488—131no—
622#2488D1311yescharacteristic, direct product factor
623C2×#400—131no—
624C2×#400—131no—
625C2×#397—131no—
626C2×#393—131no—
627C2×#391—131no—
628C2×#388—131no—
629C2×#388—131no—
630C2×#386—131no—
631C2×#386—131no—
632C2×#382—131no—
633C2×#381—131no—
634C2×C4×C22⋊C4—131no—
635C22×#95—131no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13C22×D412yes—
648C23×C13C2×#4112yes—
649C23×C13C2×#4112yes—
650C23×C13C2511yescharacteristic
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—28no—
656C22×D13—28no—
657C22×D13—28no—
658C22×D13—28no—
659C22×D13—28no—
660C22×D13—28no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—21no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13—44no—
673C22×D13—44no—
674C22×D13—44no—
675C22×D13#124116yes—
676C22×D13C22×D412yes—
677C22×D13C22×D412yes—
678C22×D13C2×#4112yes—
679C22×D13C2×#4112yes—
680C22×D13C2×#4112yes—
681C22×D13C2×#4112yes—
682C22×D13C2×#4112yes—
683C22×D13C2×#4112yes—
684C22×D13H(5,𝔽2)12yes—
685C22×D132−1+412yes—
686Q8×C13—44no—
687D4×C13—44no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—44no—
724C2×C4×C13—44no—
725C2×C4×C13—44no—
726C2×C4×C13C22×D412yes—
727C2×C4×C13C22×D412yes—
728C2×C4×C13C2×#4112yes—
729C2×C4×C13C2×#4112yes—
730C22⋊D13—44no—
731C22⋊D13—44no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—44no—
768C2×Dic13—44no—
769C2×Dic13—44no—
770C2×Dic13C22×D412yes—
771C2×Dic13C22×D412yes—
772C2×Dic13C2×#4112yes—
773C2×Dic13C2×#4112yes—
774D52—44no—
775C4×D13—28no—
776C4×D13—28no—
777C4×D13—28no—
778C4×D13—28no—
779C4×D13—44no—
780C4×D13—44no—
781C4×D13—44no—
782C4×D13—44no—
783C4×D13—44no—
784C4×D13—44no—
785C4×D13—44no—
786C4×D13—44no—
787C4×D13—44no—
788C4×D13—44no—
789C4×D13—44no—
790C4×D13—44no—
791C4×D13—44no—
792C4×D13—44no—
793C4×D13—44no—
794Dic26—44no—
795Dic26—44no—
796Dic26—44no—
797C23×Q8—131no—
798C23×D4—131no—
799C24×C4—131no—
800C24×C4—131no—
801C24×C4—131no—
802C2×#123—131no—
803C2×#123—131no—
804C2×#123—131no—
805C2×#123—131no—
806C2×#123—131no—
807C2×#123—131no—
808C2×#123—131no—
809C2×#123—268no—
810C2×#123C2×D1311yescharacteristic
811C2×C22⋊Q8—131no—
812C2×C22⋊Q8—131no—
813C2×C22⋊Q8—131no—
814C2×C22⋊Q8—131no—
815C2×C22⋊Q8—131no—
816C2×C22⋊Q8—131no—
817C2×C22⋊Q8—131no—
818C2×C22⋊Q8—268no—
819C2×C22⋊Q8C2×D1311yescharacteristic, complemented
820C22×C4⋊C4—131no—
821C22×C4⋊C4—131no—
822C22×C4⋊C4—131no—
823C22×C4⋊C4—131no—
824C22×C4⋊C4—131no—
825C22×C22⋊C4—131no—
826C22×C22⋊C4—131no—
827C22×C22⋊C4—131no—
828C22×C22⋊C4—131no—
829C22×C22⋊C4—131no—
830C22×C22⋊C4—131no—
831C22×C22⋊C4—131no—
832C22×C22⋊C4—131no—
833C22×C22⋊C4—131no—
834C22×C42—131no—
835C22×C42—131no—
836#400—131no—
837#400—131no—
838#400—131no—
839#400—131no—
840#400—131no—
841#400—131no—
842#400—131no—
843#400—131no—
844#400—131no—
845#400—131no—
846#400—131no—
847#400—131no—
848#400—131no—
849#400—131no—
850#400C2×D1311yescharacteristic, complemented
851#400C2×D1311yescharacteristic, complemented
852#397—131no—
853#397—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397C2×D1311yescharacteristic, complemented
860#393—131no—
861#393—131no—
862#393—131no—
863#393—131no—
864#393—131no—
865#393—131no—
866#393—131no—
867#393C2×D1311yescharacteristic, complemented
868#391—131no—
869#391—131no—
870#391—131no—
871#391—131no—
872#391—131no—
873#391—131no—
874#391—131no—
875#391C2×D1311yescharacteristic, complemented
876#388—131no—
877#388—131no—
878#388—131no—
879#388—131no—
880#388—131no—
881#388—131no—
882#388—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388C2×D1311yescharacteristic, complemented
891#388C2×D1311yescharacteristic, complemented
892#386—131no—
893#386—131no—
894#386—131no—
895#386—131no—
896#386—131no—
897#386—131no—
898#386—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386C2×D1311yescharacteristic
907#386C2×D1311yescharacteristic
908#382—131no—
909#382—131no—
910#382—131no—
911#382—131no—
912#382—131no—
913#382—131no—
914#382—131no—
915#382C2×D1311yescharacteristic, complemented
916#381—131no—
917#381—131no—
918#381—131no—
919#381—131no—
920#381—131no—
921#381—131no—
922#381—131no—
923#381C2×D1311yescharacteristic, complemented
924C4×C22⋊C4—131no—
925C4×C22⋊C4—131no—
926C4×C22⋊C4—131no—
927C4×C22⋊C4—131no—
928C4×C22⋊C4—131no—
929C4×C22⋊C4—131no—
930C4×C22⋊C4—131no—
931C4×C22⋊C4C2×D1311yescharacteristic, complemented
932C2×#95—131no—
933C2×#95—131no—
934C2×#95—131no—
935C2×#95—131no—
936C2×#95—131no—
937C2×#95—131no—
938C2×#95—131no—
939C2×#95—131no—
940C2×#95—131no—
941C2×#95—131no—
942C2×#95—131no—
943C2×#95—131no—
944C2×#95—131no—
945C2×#95—131no—
946C2×#95—131no—
947C2×#95—131no—
948C2×#95—131no—
949C2×#95—131no—
950C2×#95—131no—
951C2×#95—131no—
952C2×#95—131no—
953C2×#95C2×D1311yescharacteristic, complemented
954C22×C13—22no—
955C22×C13—22no—
956C22×C13—22no—
957C22×C13—22no—
958C22×C13—22no—
959C22×C13—22no—
960C22×C13—41no—
961C22×C13—41no—
962C22×C13—41no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13C2×#12414yes—
968C22×C13C23×D411yescharacteristic
969C22×C13C22×#4111yescharacteristic
970C22×C13C22×#4111yescharacteristic
971C22×C13C22×#4111yescharacteristic
972C22×C13C22×#4111yescharacteristic
973C22×C13C2×H(5,𝔽2)11yescharacteristic
974C22×C13C2×2−1+411yescharacteristic
975C2×D13—22no—
976C2×D13—22no—
977C2×D13—22no—
978C2×D13—22no—
979C2×D13—22no—
980C2×D13—22no—
981C2×D13—232no—
982C2×D13—41no—
983C2×D13—41no—
984C2×D13—41no—
985C2×D13—41no—
986C2×D13—41no—
987C2×D13—41no—
988C2×D13—41no—
989C2×D13—88no—
990C2×D13C2×#12414yes—
991C2×D13C2×#12414yes—
992C2×D13#52914yes—
993C2×D13#53914yes—
994C2×D13#54614yes—
995C2×D13#54714yes—
996C2×D13#55114yes—
997C2×D13#55214yes—
998C4×C13—22no—
999C4×C13—22no—
1000C4×C13—22no—
1001C4×C13—22no—
1002C4×C13—41no—
1003C4×C13—41no—
1004C4×C13—41no—
1005C4×C13—41no—
1006C4×C13—41no—
1007C4×C13—41no—
1008C4×C13—41no—
1009C4×C13—41no—
1010C4×C13—41no—
1011Dic13—22no—
1012Dic13—22no—
1013Dic13—22no—
1014Dic13—22no—
1015Dic13—41no—
1016Dic13—41no—
1017Dic13—41no—
1018Dic13—41no—
1019Dic13—41no—
1020Dic13—41no—
1021Dic13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024C25—131no—
1025C25—131no—
1026C22×Q8—131no—
1027C22×Q8—131no—
1028C22×Q8—131no—
1029C22×Q8—264no—
1030C22×Q8—264no—
1031C22×Q8—522no—
1032C22×Q8C22×D1311yescharacteristic
1033C22×D4—131no—
1034C22×D4—131no—
1035C22×D4—131no—
1036C22×D4—264no—
1037C22×D4—264no—
1038C22×D4—264no—
1039C22×D4C22×D1311yescharacteristic
1040C23×C4—131no—
1041C23×C4—131no—
1042C23×C4—131no—
1043C23×C4—131no—
1044C23×C4—131no—
1045C23×C4—131no—
1046C23×C4—131no—
1047C23×C4—131no—
1048C23×C4—131no—
1049C23×C4—131no—
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—264no—
1063C23×C4—264no—
1064C23×C4—264no—
1065C23×C4—264no—
1066C23×C4—264no—
1067C23×C4—264no—
1068C23×C4—264no—
1069C23×C4—522no—
1070C23×C4—522no—
1071C23×C4C22×D1311yescharacteristic
1072C23×C4C22×D1311yescharacteristic
1073C23×C4C22×D1311yescharacteristic
1074#123—24no—
1075#123—264no—
1076#123—264no—
1077#123—264no—
1078#123—264no—
1079#123—264no—
1080#123—264no—
1081#123—264no—
1082C22⋊Q8—24no—
1083C22⋊Q8—264no—
1084C22⋊Q8—264no—
1085C22⋊Q8—264no—
1086C22⋊Q8—264no—
1087C22⋊Q8—264no—
1088C22⋊Q8—264no—
1089C22⋊Q8—264no—
1090C2×C4⋊C4—131no—
1091C2×C4⋊C4—131no—
1092C2×C4⋊C4—131no—
1093C2×C4⋊C4—131no—
1094C2×C4⋊C4—131no—
1095C2×C4⋊C4—131no—
1096C2×C4⋊C4—131no—
1097C2×C4⋊C4—131no—
1098C2×C4⋊C4—131no—
1099C2×C4⋊C4—131no—
1100C2×C4⋊C4—131no—
1101C2×C4⋊C4—131no—
1102C2×C4⋊C4—131no—
1103C2×C4⋊C4—131no—
1104C2×C4⋊C4—131no—
1105C2×C4⋊C4—264no—
1106C2×C4⋊C4—264no—
1107C2×C4⋊C4—264no—
1108C2×C4⋊C4—264no—
1109C2×C4⋊C4—264no—
1110C2×C4⋊C4C22×D1311yescharacteristic
1111C2×C4⋊C4C22×D1311yescharacteristic
1112C2×C4⋊C4C22×D1311yescharacteristic
1113C2×C4⋊C4C22×D1311yescharacteristic
1114C2×C4⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—138no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—264no—
1144C2×C22⋊C4—264no—
1145C2×C22⋊C4—264no—
1146C2×C22⋊C4—264no—
1147C2×C22⋊C4—264no—
1148C2×C22⋊C4—264no—
1149C2×C22⋊C4—522no—
1150C2×C22⋊C4—522no—
1151C2×C22⋊C4C22×D1311yescharacteristic
1152C2×C22⋊C4C22×D1311yescharacteristic
1153C2×C22⋊C4C22×D1311yescharacteristic
1154C2×C22⋊C4C22×D1311yescharacteristic
1155C2×C22⋊C4C22×D1311yescharacteristic
1156C2×C22⋊C4C22×D1311yescharacteristic
1157C2×C22⋊C4C22×D1311yescharacteristic
1158C2×C22⋊C4C22×D1311yescharacteristic
1159C2×C22⋊C4C22×D1311yescharacteristic
1160C2×C42—131no—
1161C2×C42—131no—
1162C2×C42—131no—
1163C2×C42—131no—
1164C2×C42—131no—
1165C2×C42—131no—
1166C2×C42—264no—
1167C2×C42—522no—
1168C2×C42C22×D1311yescharacteristic
1169C2×C42C22×D1311yescharacteristic
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95—131no—
1183#95—131no—
1184#95—131no—
1185#95—131no—
1186#95—131no—
1187#95—131no—
1188#95—131no—
1189#95—131no—
1190#95—131no—
1191#95—131no—
1192#95—131no—
1193#95—131no—
1194#95—131no—
1195#95—131no—
1196#95—131no—
1197#95—131no—
1198#95—131no—
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95C22×D1311yescharacteristic
1213#95C22×D1311yescharacteristic
1214#95C22×D1311yescharacteristic
1215#95C22×D1311yescharacteristic
1216#95C22×D1311yescharacteristic
1217#95C22×D1311yescharacteristic
1218#95C22×D1311yescharacteristic
1219#95C22×D1311yescharacteristic
1220#95C22×D1311yescharacteristic
1221#95C22×D1311yescharacteristic
1222#95C22×D1311yescharacteristic
1223#95C22×D1311yescharacteristic
1224#95C22×D1311yescharacteristic
1225#95C22×D1311yescharacteristic
1226C2×C13—24no—
1227C2×C13—81no—
1228C2×C13C22×#12411yescharacteristic
1229C2×C13C2×#52911yescharacteristic
1230C2×C13C2×#53911yescharacteristic
1231C2×C13C2×#54611yescharacteristic
1232C2×C13C2×#54711yescharacteristic
1233C2×C13C2×#55111yescharacteristic
1234C2×C13C2×#55211yescharacteristic
1235D13—24no—
1236D13—81no—
1237D13#248818yesdirect product factor
1238C24—131no—
1239C24—134no—
1240C24—134no—
1241C24—134no—
1242C24—131no—
1243C24—131no—
1244C24—262no—
1245C24—262no—
1246C24—262no—
1247C24—262no—
1248C24—262no—
1249C24—262no—
1250C24—262no—
1251C24—262no—
1252C24—262no—
1253C24—262no—
1254C24—262no—
1255C24C23×D1311yescharacteristic
1256C24C23×D1311yescharacteristic
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—41no—
1260C2×Q8—262no—
1261C2×Q8—262no—
1262C2×Q8—262no—
1263C2×Q8—262no—
1264C2×Q8—262no—
1265C2×Q8—262no—
1266C2×Q8—521no—
1267C2×Q8—521no—
1268C2×Q8—521no—
1269C2×Q8—5216no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—262no—
1274C2×D4—262no—
1275C2×D4—262no—
1276C2×D4—262no—
1277C2×D4—262no—
1278C2×D4—262no—
1279C2×D4—262no—
1280C2×D4—262no—
1281C2×D4—262no—
1282C2×D4—5216no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—131no—
1293C22×C4—131no—
1294C22×C4—131no—
1295C22×C4—131no—
1296C22×C4—134no—
1297C22×C4—134no—
1298C22×C4—134no—
1299C22×C4—134no—
1300C22×C4—131no—
1301C22×C4—131no—
1302C22×C4—131no—
1303C22×C4—131no—
1304C22×C4—131no—
1305C22×C4—131no—
1306C22×C4—131no—
1307C22×C4—131no—
1308C22×C4—131no—
1309C22×C4—262no—
1310C22×C4—262no—
1311C22×C4—262no—
1312C22×C4—262no—
1313C22×C4—262no—
1314C22×C4—262no—
1315C22×C4—262no—
1316C22×C4—262no—
1317C22×C4—262no—
1318C22×C4—262no—
1319C22×C4—262no—
1320C22×C4—262no—
1321C22×C4—262no—
1322C22×C4—262no—
1323C22×C4—262no—
1324C22×C4—262no—
1325C22×C4—262no—
1326C22×C4—262no—
1327C22×C4—262no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
1338C22×C4—262no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—262no—
1342C22×C4—262no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—262no—
1346C22×C4—262no—
1347C22×C4—262no—
1348C22×C4—262no—
1349C22×C4—262no—
1350C22×C4—262no—
1351C22×C4—262no—
1352C22×C4—262no—
1353C22×C4—262no—
1354C22×C4—262no—
1355C22×C4—262no—
1356C22×C4—262no—
1357C22×C4—262no—
1358C22×C4—262no—
1359C22×C4—262no—
1360C22×C4—262no—
1361C22×C4—262no—
1362C22×C4—262no—
1363C22×C4—262no—
1364C22×C4—262no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—521no—
1368C22×C4—521no—
1369C22×C4—5216no—
1370C22×C4—5216no—
1371C22×C4—5216no—
1372C22×C4—521no—
1373C22×C4—521no—
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C22×C4C23×D1311yescharacteristic
1385C22×C4C23×D1311yescharacteristic
1386C22×C4C23×D1311yescharacteristic
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—262no—
1393C4⋊C4—262no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—262no—
1404C4⋊C4—262no—
1405C4⋊C4—262no—
1406C4⋊C4—262no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—134no—
1416C22⋊C4—134no—
1417C22⋊C4—134no—
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—262no—
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—521no—
1437C22⋊C4—521no—
1438C22⋊C4—521no—
1439C22⋊C4—521no—
1440C22⋊C4—521no—
1441C22⋊C4—521no—
1442C22⋊C4D4×D1314yes—
1443C42—22no—
1444C42—41no—
1445C42—262no—
1446C42—262no—
1447C42—262no—
1448C42—521no—
1449C42—521no—
1450C42—521no—
1451C13C2×#248811yescharacteristic, complemented, Sylow
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—132no—
1464C23—132no—
1465C23—132no—
1466C23—132no—
1467C23—132no—
1468C23—132no—
1469C23—132no—
1470C23—1316no—
1471C23—132no—
1472C23—132no—
1473C23—132no—
1474C23—268no—
1475C23—268no—
1476C23—268no—
1477C23—268no—
1478C23—268no—
1479C23—268no—
1480C23—261no—
1481C23—261no—
1482C23—261no—
1483C23—261no—
1484C23—261no—
1485C23—261no—
1486C23—261no—
1487C23—261no—
1488C23—261no—
1489C23—261no—
1490C23—261no—
1491C23—524no—
1492C23—524no—
1493C23—524no—
1494C23—524no—
1495C23—524no—
1496C23—524no—
1497C23—524no—
1498C23C2×D4×D1312yes—
1499C23#41×D1312yes—
1500C23#41×D1312yes—
1501C23C24×D1311yescharacteristic
1502Q8—44no—
1503Q8—524no—
1504Q8—524no—
1505Q8—524no—
1506D4—44no—
1507D4—524no—
1508D4—524no—
1509D4—524no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—132no—
1549C2×C4—132no—
1550C2×C4—132no—
1551C2×C4—132no—
1552C2×C4—268no—
1553C2×C4—268no—
1554C2×C4—268no—
1555C2×C4—268no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—261no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—524no—
1592C2×C4—524no—
1593C2×C4—524no—
1594C2×C4—524no—
1595C2×C4—524no—
1596C2×C4—524no—
1597C2×C4—524no—
1598C2×C4—524no—
1599C2×C4—524no—
1600C2×C4—524no—
1601C2×C4—524no—
1602C2×C4—524no—
1603C2×C4—524no—
1604C2×C4—524no—
1605C2×C4—524no—
1606C2×C4—524no—
1607C2×C4—524no—
1608C2×C4—524no—
1609C2×C4C2×D4×D1312yes—
1610C2×C4C2×D4×D1312yes—
1611C2×C4#41×D1312yes—
1612C2×C4#41×D1312yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—134no—
1627C22—134no—
1628C22—134no—
1629C22—134no—
1630C22—134no—
1631C22—134no—
1632C22—134no—
1633C22—134no—
1634C22—2632no—
1635C22—262no—
1636C22—262no—
1637C22—262no—
1638C22—262no—
1639C22—262no—
1640C22—262no—
1641C22—521no—
1642C22—521no—
1643C22—521no—
1644C22—521no—
1645C22—521no—
1646C22—521no—
1647C22—521no—
1648C22—1048no—
1649C22D13×#12414yes—
1650C22C22×D4×D1311yescharacteristic
1651C22C2×#41×D1311yescharacteristic
1652C22C2×#41×D1311yescharacteristic
1653C22C2×#41×D1311yescharacteristic
1654C22C2×#41×D1311yescharacteristic
1655C22D13×H(5,𝔽2)11yescharacteristic
1656C22D13×2−1+411yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—262no—
1671C4—262no—
1672C4—262no—
1673C4—262no—
1674C4—521no—
1675C4—521no—
1676C4—521no—
1677C4—521no—
1678C4—521no—
1679C4—521no—
1680C4—521no—
1681C4—521no—
1682C4—521no—
1683C2—24no—
1684C2—81no—
1685C2—138no—
1686C2—264no—
1687C2—1041no—
1688C2C2×D13×#12411yescharacteristic
1689C2D13×#52911yescharacteristic
1690C2D13×#53911yescharacteristic
1691C2D13×#54611yescharacteristic
1692C2D13×#54711yescharacteristic
1693C2D13×#55111yescharacteristic
1694C2D13×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2488C2
prime radicalC22×D4×D13C22
hypercenter#2488D13
hypocenterC13C2×#2488
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
2. C2×D13×C22⋊Q8C2semidirect
3. #13119169C2semidirect
4. #13119168C2semidirect
5. #13119167C2semidirect
6. #13119166C2semidirect
7. #13119165C2semidirect
8. #13119164C2semidirect
9. #13119163C2semidirect
10. #13119162C2semidirect
11. #13119161C2semidirect
12. #13119160C2semidirect
13. #13119159C2semidirect
14. #13119158C2semidirect
15. #13119157C2semidirect
16. #13119156C2semidirect
17. #13119155C2semidirect
18. D13×#400C2semidirect
19. D13×#400C2semidirect
20. D13×#397C2semidirect
21. D13×#393C2semidirect
22. D13×#391C2semidirect
23. D13×#388C2semidirect
24. D13×#388C2semidirect
27. D13×#382C2semidirect
28. D13×#381C2semidirect
29. C4×C22⋊C4×D13C2semidirect
30. C2×D13×#95C2semidirect
31. C13×#2488C2semidirect
38. C2×C13×C22⋊Q8C22semidirect
39. C2×#88200C22semidirect
42. C2×#88178C22semidirect
45. C2×#88151C22semidirect
46. C2×#88150C22semidirect
47. C2×#88150C22semidirect
67. C2×#88132C22semidirect
68. C2×#88132C22semidirect
71. C13×#400C22semidirect
72. C13×#400C22semidirect
73. C13×#397C22semidirect
74. C13×#393C22semidirect
75. C13×#391C22semidirect
76. C13×#388C22semidirect
77. C13×#388C22semidirect
80. C13×#382C22semidirect
81. C13×#381C22semidirect
82. C4×C13×C22⋊C4C22semidirect
83. C2×C13×#95C22semidirect
84. #11718892C22semidirect
85. #11718891C22semidirect
90. #11718872C22semidirect
91. C4×C22⋊Dic13C22semidirect
92. C2×#88071C22semidirect
93. C2×#88071C22semidirect
94. C2×#88071C22semidirect
95. #11718654C22semidirect
96. #11718651C22semidirect
97. #11718651C22semidirect
98. #11718647C22semidirect
99. #11718647C22semidirect
100. #11718643C22semidirect
101. #11718643C22semidirect
102. #11718638C22semidirect
103. #11718638C22semidirect
104. #11718635C22semidirect
111. #11718614C22semidirect
112. #11718613C22semidirect
113. #11718613C22semidirect
114. #11718612C22semidirect
115. #11718612C22semidirect
116. #11718608C22semidirect
117. #11718608C22semidirect
118. #11718608C22semidirect
119. #11718606C22semidirect
120. #11718606C22semidirect
121. #11718605C22semidirect
122. #11718605C22semidirect
123. #11718604C22semidirect
124. #11718604C22semidirect
125. C22⋊C4×Dic13C22semidirect
126. C22⋊C4×Dic13C22semidirect
127. #11718601C22semidirect
128. #11718601C22semidirect
129. C4×#6103C22semidirect
130. C4×#6103C22semidirect
131. #11718597C22semidirect
132. #11718590C22semidirect
133. #11718336C22semidirect
134. #11718336C22semidirect
135. #11718335C22semidirect
136. #11718334C22semidirect
137. #11718334C22semidirect
138. #11718334C22semidirect
139. #11718331C22semidirect
140. #11718331C22semidirect
141. #11718330C22semidirect
142. #11718330C22semidirect
143. #11718327C22semidirect
144. #11718327C22semidirect
149. #11718325C22semidirect
150. #11718325C22semidirect
151. #11718325C22semidirect
152. #11718325C22semidirect
167. D13×#95C22semidirect
168. D13×#95C22semidirect
169. D13×#95C22semidirect
170. D13×#95C22semidirect
171. #11718321C22semidirect
172. #11718321C22semidirect
173. #11718321C22semidirect
174. #11718321C22semidirect
175. #11718320C22semidirect
176. #11718320C22semidirect
177. #11718319C22semidirect
178. #11718319C22semidirect
179. #11718319C22semidirect
180. #11718319C22semidirect
181. #11718311C22semidirect
182. #11718311C22semidirect
183. #11718311C22semidirect
184. #11718311C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
622. #2488D13direct (N × H)
819. C2×C22⋊Q8C2×D13semidirect
850. #400C2×D13semidirect
851. #400C2×D13semidirect
859. #397C2×D13semidirect
867. #393C2×D13semidirect
875. #391C2×D13semidirect
890. #388C2×D13semidirect
891. #388C2×D13semidirect
915. #382C2×D13semidirect
923. #381C2×D13semidirect
931. C4×C22⋊C4C2×D13semidirect
953. C2×#95C2×D13semidirect
1237. D13#2488direct (N × H)
1451. C13C2×#2488semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1232
C2×D13×C22⋊Q82
#131191692
#131191682
#131191672
#131191662
#131191652
#131191642
#131191632
#131191622
#131191612
#131191602
#131191592
#131191582
#131191572
#131191562
#131191552
D13×#4002
D13×#3972
D13×#3932
D13×#3912
D13×#3882
D13×#3862
D13×#3822
D13×#3812
C4×C22⋊C4×D132
C2×D13×#952
C13×#24882
C2×#248813