Finite Group Databasebeta

← D13×#2477 #16031347

Subgroups — D13×#2477 #16031347

Order 3328.

3070 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
2C2×D13×#117C211yesmaximal, characteristic, complemented
3#13119044C211yesmaximal, characteristic, complemented
4#13119043C211yesmaximal, characteristic, complemented
5#13119042C211yesmaximal, characteristic, complemented
6#13119041C211yesmaximal, characteristic, complemented
7#13119040C211yesmaximal, characteristic, complemented
8#13119039C211yesmaximal, characteristic, complemented
9#13119038C211yesmaximal, characteristic, complemented
10#13119037C211yesmaximal, characteristic, complemented
11#13119036C211yesmaximal, characteristic, complemented
12#13119035C211yesmaximal, characteristic, complemented
13#13119034C211yesmaximal, characteristic, complemented
14#13119033C211yesmaximal, characteristic, complemented
15#13119032C211yesmaximal, characteristic, complemented
16#13119031C211yesmaximal, characteristic, complemented
17#13119030C211yesmaximal, characteristic, complemented
18D13×#400C211yesmaximal, characteristic, complemented
19D13×#397C211yesmaximal, characteristic, complemented
20D13×#394C211yesmaximal, characteristic
21D13×#393C211yesmaximal, characteristic, complemented
22D13×#391C211yesmaximal, characteristic, complemented
23D13×#388C211yesmaximal, characteristic, complemented
24D13×#388C211yesmaximal, characteristic, complemented
25D13×#387C211yesmaximal, characteristic, complemented
26D13×#387C211yesmaximal, characteristic, complemented
27D13×#386C211yesmaximal, characteristic
28D13×#386C211yesmaximal, characteristic
29D13×#385C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2477C211yesmaximal, characteristic, complemented
32C22×Q8×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C2×C13×C22⋊Q8C2211yescharacteristic, complemented
37C2×C13×#117C2211yescharacteristic, complemented
38C2×#88200C2211yescharacteristic, complemented
39C2×#88180C2211yescharacteristic, complemented
40C2×#88178C2211yescharacteristic, complemented
41D13×C22⋊Q8—28no—
42D13×#117—28no—
43C2×#88151C2211yescharacteristic, complemented
44C2×#88150C2211yescharacteristic, complemented
45C2×#88150C2211yescharacteristic, complemented
46C2×#88146C2211yescharacteristic, complemented
47C2×#88146C2211yescharacteristic, complemented
48C2×C4⋊C4×D13C2211yescharacteristic
49C2×C4⋊C4×D13C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
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×#88132C2211yescharacteristic, complemented
65C2×#88132C2211yescharacteristic, complemented
66C2×#88131C2211yescharacteristic, complemented
67C2×#88131C2211yescharacteristic, complemented
68C2×#88126C2211yescharacteristic, complemented
69C2×#88126C2211yescharacteristic, complemented
70C2×C42×D13C2211yescharacteristic
71C2×C42×D13C2211yescharacteristic
72C2×C42×D13C2211yescharacteristic
73C13×#400C2211yescharacteristic, complemented
74C13×#397C2211yescharacteristic, complemented
75C13×#394C2211yescharacteristic
76C13×#393C2211yescharacteristic, complemented
77C13×#391C2211yescharacteristic, complemented
78C13×#388C2211yescharacteristic, complemented
79C13×#388C2211yescharacteristic, complemented
80C13×#387C2211yescharacteristic, complemented
81C13×#387C2211yescharacteristic, complemented
82C13×#386C2211yescharacteristic
83C13×#386C2211yescharacteristic
84C13×#385C2211yescharacteristic, complemented
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86#11718892C2211yescharacteristic, complemented
87#11718891C2211yescharacteristic, complemented
88#11718883C2211yescharacteristic
89#11718881C2211yescharacteristic
90#11718881C2211yescharacteristic
91#11718874C2211yescharacteristic
92#11718874C2211yescharacteristic
93#11718871C2211yescharacteristic, complemented
94C4×C22⋊Dic13C2211yescharacteristic, complemented
95#11718654C2211yescharacteristic, complemented
96#11718652C2211yescharacteristic
97#11718651C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718650C2211yescharacteristic, complemented
100#11718650C2211yescharacteristic, complemented
101#11718647C2211yescharacteristic, complemented
102#11718643C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718642C2211yescharacteristic, complemented
105#11718639C2211yescharacteristic, complemented
106#11718639C2211yescharacteristic, complemented
107#11718635C2211yescharacteristic, complemented
108#11718622C2211yescharacteristic
109#11718622C2211yescharacteristic
110#11718620C2211yescharacteristic
111#11718620C2211yescharacteristic
112#11718619C2211yescharacteristic
113#11718619C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718614C2211yescharacteristic, complemented
119#11718613C2211yescharacteristic, complemented
120#11718613C2211yescharacteristic, complemented
121#11718612C2211yescharacteristic, complemented
122#11718612C2211yescharacteristic, complemented
123#11718611C2211yescharacteristic, complemented
124#11718608C2211yescharacteristic, complemented
125#11718608C2211yescharacteristic, complemented
126#11718608C2211yescharacteristic, complemented
127#11718607C2211yescharacteristic, complemented
128#11718606C2211yescharacteristic, complemented
129#11718606C2211yescharacteristic, complemented
130#11718605C2211yescharacteristic, complemented
131#11718605C2211yescharacteristic, complemented
132C22⋊C4×Dic13C2211yescharacteristic, complemented
133C22⋊C4×Dic13C2211yescharacteristic, complemented
134#11718601C2211yescharacteristic, complemented
135#11718601C2211yescharacteristic, complemented
136C4×#6103C2211yescharacteristic, complemented
137C4×#6103C2211yescharacteristic, complemented
138#11718594C2211yescharacteristic, complemented
139#11718594C2211yescharacteristic, complemented
140#11718590C2211yescharacteristic, complemented
141#11718336C2211yescharacteristic, complemented
142#11718336C2211yescharacteristic, complemented
143#11718335C2211yescharacteristic, complemented
144#11718334C2211yescharacteristic, complemented
145#11718334C2211yescharacteristic, complemented
146#11718334C2211yescharacteristic, complemented
147#11718333C2211yescharacteristic
148#11718331C2211yescharacteristic, complemented
149#11718331C2211yescharacteristic, complemented
150#11718330C2211yescharacteristic, complemented
151#11718330C2211yescharacteristic, complemented
152#11718329C2211yescharacteristic, complemented
153#11718329C2211yescharacteristic, complemented
154#11718327C2211yescharacteristic, complemented
155#11718327C2211yescharacteristic, complemented
156#11718326C2211yescharacteristic
157#11718326C2211yescharacteristic
158#11718326C2211yescharacteristic
159#11718326C2211yescharacteristic
160D13×#95C2211yescharacteristic
161D13×#95C2211yescharacteristic
162D13×#95C2211yescharacteristic
163D13×#95C2211yescharacteristic
164D13×#95C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172#11718321C2211yescharacteristic, complemented
173#11718321C2211yescharacteristic, complemented
174#11718320C2211yescharacteristic, complemented
175#11718319C2211yescharacteristic, complemented
176#11718319C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, 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
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C2×Q8×D13—24no—
200C2×Q8×D13—24no—
201C2×Q8×D13—42no—
202C2×D4×D13—24no—
203C2×D4×D13—24no—
204C2×D4×D13—42no—
205C22×D52C2311yescharacteristic
206C22×C4×D13—24no—
207C22×C4×D13—24no—
208C22×C4×D13—24no—
209C22×C4×D13—24no—
210C22×C4×D13—24no—
211C22×C4×D13—42no—
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
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×Dic26C2311yescharacteristic
230C22×Dic26C2311yescharacteristic
231C22×Dic26C2311yescharacteristic
232C13×C22⋊Q8—24no—
233C13×#117—24no—
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C42×C13C2311yescharacteristic
251C2×C42×C13C2311yescharacteristic
252C2×C42×C13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263#88200—24no—
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
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
284#88180—24no—
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291#88178—24no—
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
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
313#88151—24no—
314#88150—24no—
315#88150—24no—
316#88146—24no—
317#88146—24no—
318C4⋊C4×D13—24no—
319C4⋊C4×D13—24no—
320C4⋊C4×D13—24no—
321C4⋊C4×D13—24no—
322C4⋊C4×D13—42no—
323C4⋊C4×D13D418yescomplemented
324C22⋊C4×D13—24no—
325C22⋊C4×D13—24no—
326C22⋊C4×D13—24no—
327C22⋊C4×D13—24no—
328C22⋊C4×D13—24no—
329C22⋊C4×D13—24no—
330C22⋊C4×D13—24no—
331C22⋊C4×D13—24no—
332C22⋊C4×D13—24no—
333C22⋊C4×D13—42no—
334#88132—24no—
335#88132—24no—
336#88131—24no—
337#88131—24no—
338#88126—24no—
339#88126—24no—
340C42×D13—24no—
341C42×D13—24no—
342C42×D13—42no—
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
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×#2477—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×D13—22no—
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—41no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—22no—
421C22×C4×C13—22no—
422C22×C4×C13—41no—
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
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
436C2×C22⋊D13—22no—
437C2×C22⋊D13—22no—
438C2×C22⋊D13—22no—
439C2×C22⋊D13—22no—
440C2×C22⋊D13—41no—
441C2×C22⋊D13—41no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—22no—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—41no—
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461Q8×D13—416no—
462D4×D13—416no—
463C2×D52—22no—
464C2×D52—22no—
465C2×D52—41no—
466C2×C4×D13—232no—
467C2×C4×D13—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—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—416no—
512C2×C4×D13—41no—
513C2×C4×D13—41no—
514C2×C4×D13C2×D414yes—
515C2×C4×D13C2×D414yes—
516C2×C4×D13C2×D414yes—
517C2×C4×D13#4114yes—
518C2×C4×D13#4114yes—
519C2×Dic26—22no—
520C2×Dic26—22no—
521C2×Dic26—22no—
522C2×Dic26—22no—
523C2×Dic26—22no—
524C2×Dic26—22no—
525C2×Dic26—41no—
526C2×Dic26—41no—
527C2×Dic26—41no—
528C13×C4⋊C4—22no—
529C13×C4⋊C4—22no—
530C13×C4⋊C4—22no—
531C13×C4⋊C4—22no—
532C13×C4⋊C4—41no—
533C13×C4⋊C4C2×D414yescomplemented
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—22no—
540C13×C22⋊C4—22no—
541C13×C22⋊C4—22no—
542C13×C22⋊C4—22no—
543C13×C22⋊C4—41no—
544C42×C13—22no—
545C42×C13—22no—
546C42×C13—41no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—41no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
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—41no—
576#6103—41no—
577C4⋊Dic13—22no—
578C4⋊Dic13—22no—
579C4⋊Dic13—22no—
580C4⋊Dic13—22no—
581C4⋊Dic13—41no—
582C4⋊Dic13C2×D414yescomplemented
583#6101—22no—
584#6101—22no—
585#6101—22no—
586#6101—22no—
587#6101—22no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—41no—
592#6101—41no—
593#6101C2×D414yescomplemented
594#6101C2×D414yescomplemented
595C4×Dic13—22no—
596C4×Dic13—22no—
597C4×Dic13—22no—
598C4×Dic13—22no—
599C4×Dic13—22no—
600C4×Dic13—22no—
601C4×Dic13—41no—
602C4×Dic13—41no—
603C4×Dic13—41no—
604C22×C22⋊Q8—131no—
605C22×#117—131no—
606#2477—131no—
607#2477—131no—
608#2477—131no—
609#2477—131no—
610#2477—131no—
611#2477—131no—
612#2477—131no—
613#2477—131no—
614#2477—131no—
615#2477—131no—
616#2477—131no—
617#2477—131no—
618#2477—131no—
619#2477—131no—
620#2477—131no—
621#2477D1311yescharacteristic, direct product factor
622C2×#400—131no—
623C2×#397—131no—
624C2×#394—131no—
625C2×#393—131no—
626C2×#391—131no—
627C2×#388—131no—
628C2×#388—131no—
629C2×#387—131no—
630C2×#387—131no—
631C2×#386—131no—
632C2×#386—131no—
633C2×#385—131no—
634C2×C4×C22⋊C4—131no—
635C23×C13—21no—
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×C13C2×#4112yes—
648C23×C13C2×#4112yes—
649C23×C13C2511yescharacteristic
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—28no—
663C22×D13—28no—
664C22×D13—28no—
665C22×D13—28no—
666C22×D13—28no—
667C22×D13—28no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13—44no—
673C22×D13—44no—
674C22×D13—44no—
675C22×D13—44no—
676C22×D13C22×D412yes—
677C22×D13C2×#4112yes—
678C22×D13C2×#4112yes—
679C22×D13C2×#4112yes—
680C22×D13C2×#4112yes—
681C22×D13C2×#4112yes—
682C22×D13C2×#4112yes—
683C22×D13H(5,𝔽2)12yes—
684C22×D132−1+412yes—
685Q8×C13—44no—
686D4×C13—44no—
687C2×C4×C13—28no—
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—44no—
723C2×C4×C13C22×D412yes—
724C2×C4×C13C22×D412yes—
725C2×C4×C13C22×D412yes—
726C2×C4×C13C2×#4112yes—
727C2×C4×C13C2×#4112yes—
728C22⋊D13—44no—
729C22⋊D13—44no—
730C2×Dic13—28no—
731C2×Dic13—21no—
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—44no—
766C2×Dic13C22×D412yes—
767C2×Dic13C22×D412yes—
768C2×Dic13C22×D412yes—
769C2×Dic13C2×#4112yes—
770C2×Dic13C2×#4112yes—
771D52—44no—
772C4×D13—28no—
773C4×D13—28no—
774C4×D13—28no—
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—
789Dic26—44no—
790Dic26—44no—
791Dic26—44no—
792C23×Q8—131no—
793C23×D4—131no—
794C24×C4—131no—
795C24×C4—131no—
796C2×C22⋊Q8—131no—
797C2×C22⋊Q8—131no—
798C2×C22⋊Q8—131no—
799C2×C22⋊Q8—131no—
800C2×C22⋊Q8—131no—
801C2×C22⋊Q8—131no—
802C2×C22⋊Q8—131no—
803C2×C22⋊Q8—268no—
804C2×C22⋊Q8C2×D1311yescharacteristic, complemented
805C2×#117—131no—
806C2×#117—131no—
807C2×#117—131no—
808C2×#117—131no—
809C2×#117—131no—
810C2×#117—131no—
811C2×#117—131no—
812C2×#117—268no—
813C2×#117C2×D1311yescharacteristic, complemented
814C22×C4⋊C4—131no—
815C22×C4⋊C4—131no—
816C22×C4⋊C4—131no—
817C22×C4⋊C4—131no—
818C22×C4⋊C4—131no—
819C22×C4⋊C4—131no—
820C22×C22⋊C4—131no—
821C22×C22⋊C4—131no—
822C22×C22⋊C4—131no—
823C22×C22⋊C4—131no—
824C22×C22⋊C4—131no—
825C22×C22⋊C4—131no—
826C22×C22⋊C4—131no—
827C22×C22⋊C4—131no—
828C22×C22⋊C4—131no—
829C22×C22⋊C4—131no—
830C22×C42—131no—
831C22×C42—131no—
832C22×C42—131no—
833#400—131no—
834#400—131no—
835#400—131no—
836#400—131no—
837#400—131no—
838#400—131no—
839#400—131no—
840#400C2×D1311yescharacteristic, complemented
841#397—131no—
842#397—131no—
843#397—131no—
844#397—131no—
845#397—131no—
846#397—131no—
847#397—131no—
848#397C2×D1311yescharacteristic, complemented
849#394—131no—
850#394—131no—
851#394—131no—
852#394—131no—
853#394—131no—
854#394—131no—
855#394—131no—
856#394C2×D1311yescharacteristic
857#393—131no—
858#393—131no—
859#393—131no—
860#393—131no—
861#393—131no—
862#393—131no—
863#393—131no—
864#393C2×D1311yescharacteristic, complemented
865#391—131no—
866#391—131no—
867#391—131no—
868#391—131no—
869#391—131no—
870#391—131no—
871#391—131no—
872#391C2×D1311yescharacteristic, complemented
873#388—131no—
874#388—131no—
875#388—131no—
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#388C2×D1311yescharacteristic, complemented
888#388C2×D1311yescharacteristic, complemented
889#387—131no—
890#387—131no—
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—131no—
897#387—131no—
898#387—131no—
899#387—131no—
900#387—131no—
901#387—131no—
902#387—131no—
903#387C2×D1311yescharacteristic, complemented
904#387C2×D1311yescharacteristic, complemented
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#386—131no—
913#386—131no—
914#386—131no—
915#386—131no—
916#386—131no—
917#386—131no—
918#386—131no—
919#386C2×D1311yescharacteristic
920#386C2×D1311yescharacteristic
921#385—131no—
922#385—131no—
923#385—131no—
924#385—131no—
925#385—131no—
926#385—131no—
927#385—131no—
928#385C2×D1311yescharacteristic, complemented
929C4×C22⋊C4—131no—
930C4×C22⋊C4—131no—
931C4×C22⋊C4—131no—
932C4×C22⋊C4—131no—
933C4×C22⋊C4—131no—
934C4×C22⋊C4—131no—
935C4×C22⋊C4—131no—
936C4×C22⋊C4C2×D1311yescharacteristic, complemented
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—
949C22×C13—22no—
950C22×C13—22no—
951C22×C13—22no—
952C22×C13—22no—
953C22×C13—22no—
954C22×C13—22no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13—41no—
959C22×C13—41no—
960C22×C13—41no—
961C22×C13—41no—
962C22×C13—41no—
963C22×C13C23×D411yescharacteristic
964C22×C13C22×#4111yescharacteristic
965C22×C13C22×#4111yescharacteristic
966C22×C13C22×#4111yescharacteristic
967C22×C13C22×#4111yescharacteristic
968C22×C13C2×H(5,𝔽2)11yescharacteristic
969C22×C13C2×2−1+411yescharacteristic
970C2×D13—22no—
971C2×D13—22no—
972C2×D13—22no—
973C2×D13—22no—
974C2×D13—22no—
975C2×D13—22no—
976C2×D13—41no—
977C2×D13—41no—
978C2×D13—41no—
979C2×D13—41no—
980C2×D13—41no—
981C2×D13—41no—
982C2×D13—41no—
983C2×D13—41no—
984C2×D13—416no—
985C2×D13—416no—
986C2×D13#52514yes—
987C2×D13#52914yes—
988C2×D13#54214yes—
989C2×D13#54614yes—
990C2×D13#54814yes—
991C2×D13#55114yes—
992C2×D13#55214yes—
993C4×C13—22no—
994C4×C13—22no—
995C4×C13—22no—
996C4×C13—22no—
997C4×C13—22no—
998C4×C13—41no—
999C4×C13—41no—
1000C4×C13—41no—
1001C4×C13—41no—
1002C4×C13—41no—
1003C4×C13—41no—
1004C4×C13—41no—
1005C4×C13—41no—
1006Dic13—22no—
1007Dic13—22no—
1008Dic13—22no—
1009Dic13—22no—
1010Dic13—22no—
1011Dic13—41no—
1012Dic13—41no—
1013Dic13—41no—
1014Dic13—41no—
1015Dic13—41no—
1016Dic13—41no—
1017Dic13—41no—
1018Dic13—41no—
1019C25—131no—
1020C25—131no—
1021C22×Q8—131no—
1022C22×Q8—131no—
1023C22×Q8—131no—
1024C22×Q8—264no—
1025C22×Q8—264no—
1026C22×Q8—522no—
1027C22×Q8C22×D1311yescharacteristic
1028C22×D4—131no—
1029C22×D4—131no—
1030C22×D4—131no—
1031C22×D4—264no—
1032C22×D4—264no—
1033C22×D4—522no—
1034C22×D4C22×D1311yescharacteristic
1035C23×C4—131no—
1036C23×C4—131no—
1037C23×C4—131no—
1038C23×C4—131no—
1039C23×C4—131no—
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—264no—
1055C23×C4—264no—
1056C23×C4—264no—
1057C23×C4—264no—
1058C23×C4—264no—
1059C23×C4—522no—
1060C23×C4C22×D1311yescharacteristic
1061C23×C4C22×D1311yescharacteristic
1062C22⋊Q8—24no—
1063C22⋊Q8—264no—
1064C22⋊Q8—264no—
1065C22⋊Q8—264no—
1066C22⋊Q8—264no—
1067C22⋊Q8—264no—
1068C22⋊Q8—264no—
1069C22⋊Q8—264no—
1070#117—24no—
1071#117—264no—
1072#117—264no—
1073#117—264no—
1074#117—264no—
1075#117—264no—
1076#117—264no—
1077#117—264no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—131no—
1081C2×C4⋊C4—138no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—131no—
1084C2×C4⋊C4—131no—
1085C2×C4⋊C4—131no—
1086C2×C4⋊C4—131no—
1087C2×C4⋊C4—131no—
1088C2×C4⋊C4—131no—
1089C2×C4⋊C4—131no—
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—264no—
1098C2×C4⋊C4—264no—
1099C2×C4⋊C4—264no—
1100C2×C4⋊C4—264no—
1101C2×C4⋊C4—522no—
1102C2×C4⋊C4C22×D1311yescharacteristic
1103C2×C4⋊C4C22×D1311yescharacteristic
1104C2×C4⋊C4C22×D1311yescharacteristic
1105C2×C4⋊C4C22×D1311yescharacteristic
1106C2×C4⋊C4C22×D1311yescharacteristic
1107C2×C4⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
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—264no—
1139C2×C22⋊C4—264no—
1140C2×C22⋊C4—264no—
1141C2×C22⋊C4—264no—
1142C2×C22⋊C4—264no—
1143C2×C22⋊C4—264no—
1144C2×C22⋊C4—264no—
1145C2×C22⋊C4—264no—
1146C2×C22⋊C4—264no—
1147C2×C22⋊C4—522no—
1148C2×C22⋊C4C22×D1311yescharacteristic
1149C2×C22⋊C4C22×D1311yescharacteristic
1150C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
1159C2×C42—131no—
1160C2×C42—131no—
1161C2×C42—131no—
1162C2×C42—131no—
1163C2×C42—131no—
1164C2×C42—131no—
1165C2×C42—131no—
1166C2×C42—131no—
1167C2×C42—264no—
1168C2×C42—264no—
1169C2×C42—522no—
1170C2×C42C22×D1311yescharacteristic
1171C2×C42C22×D1311yescharacteristic
1172C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1210#95C22×D1311yescharacteristic
1211#95C22×D1311yescharacteristic
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
1221C2×C13—42no—
1222C2×C13—42no—
1223C2×C13C2×#52511yescharacteristic
1224C2×C13C2×#52911yescharacteristic
1225C2×C13C2×#54211yescharacteristic
1226C2×C13C2×#54611yescharacteristic
1227C2×C13C2×#54811yescharacteristic
1228C2×C13C2×#55111yescharacteristic
1229C2×C13C2×#55211yescharacteristic
1230D13—42no—
1231D13—42no—
1232D13#247718yesdirect product factor
1233C24—131no—
1234C24—134no—
1235C24—134no—
1236C24—131no—
1237C24—131no—
1238C24—262no—
1239C24—262no—
1240C24—262no—
1241C24—262no—
1242C24—262no—
1243C24—262no—
1244C24—262no—
1245C24—262no—
1246C24—262no—
1247C24—262no—
1248C24—262no—
1249C24—262no—
1250C24C23×D1311yescharacteristic
1251C24C23×D1311yescharacteristic
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—41no—
1255C2×Q8—262no—
1256C2×Q8—262no—
1257C2×Q8—262no—
1258C2×Q8—262no—
1259C2×Q8—262no—
1260C2×Q8—262no—
1261C2×Q8—521no—
1262C2×Q8—521no—
1263C2×Q8—521no—
1264C2×Q8—5216no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—262no—
1269C2×D4—262no—
1270C2×D4—262no—
1271C2×D4—262no—
1272C2×D4—262no—
1273C2×D4—262no—
1274C2×D4—521no—
1275C2×D4—521no—
1276C2×D4—521no—
1277C2×D4—5216no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—131no—
1285C22×C4—131no—
1286C22×C4—131no—
1287C22×C4—131no—
1288C22×C4—131no—
1289C22×C4—134no—
1290C22×C4—134no—
1291C22×C4—134no—
1292C22×C4—134no—
1293C22×C4—134no—
1294C22×C4—131no—
1295C22×C4—131no—
1296C22×C4—131no—
1297C22×C4—131no—
1298C22×C4—131no—
1299C22×C4—131no—
1300C22×C4—131no—
1301C22×C4—131no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—262no—
1306C22×C4—262no—
1307C22×C4—262no—
1308C22×C4—262no—
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—2632no—
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—521no—
1353C22×C4—521no—
1354C22×C4—5216no—
1355C22×C4—521no—
1356C22×C4C23×D1311yescharacteristic
1357C22×C4C23×D1311yescharacteristic
1358C22×C4C23×D1311yescharacteristic
1359C22×C4C23×D1311yescharacteristic
1360C22×C4C23×D1311yescharacteristic
1361C22×C4C23×D1311yescharacteristic
1362C22×C4C23×D1311yescharacteristic
1363C22×C4C23×D1311yescharacteristic
1364C22×C4C23×D1311yescharacteristic
1365C22×C4C23×D1311yescharacteristic
1366C22×C4C23×D1311yescharacteristic
1367C22×C4C23×D1311yescharacteristic
1368C22×C4C23×D1311yescharacteristic
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—41no—
1374C4⋊C4—134no—
1375C4⋊C4—134no—
1376C4⋊C4—134no—
1377C4⋊C4—262no—
1378C4⋊C4—262no—
1379C4⋊C4—262no—
1380C4⋊C4—262no—
1381C4⋊C4—262no—
1382C4⋊C4—262no—
1383C4⋊C4—262no—
1384C4⋊C4—262no—
1385C4⋊C4—262no—
1386C4⋊C4—262no—
1387C4⋊C4—262no—
1388C4⋊C4—262no—
1389C4⋊C4—521no—
1390C4⋊C4—521no—
1391C4⋊C4—521no—
1392C4⋊C4D4×D1314yescomplemented
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—41no—
1403C22⋊C4—262no—
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—262no—
1427C22⋊C4—262no—
1428C22⋊C4—262no—
1429C22⋊C4—262no—
1430C22⋊C4—521no—
1431C22⋊C4—521no—
1432C22⋊C4—521no—
1433C42—22no—
1434C42—22no—
1435C42—41no—
1436C42—262no—
1437C42—262no—
1438C42—262no—
1439C42—262no—
1440C42—262no—
1441C42—262no—
1442C42—521no—
1443C42—521no—
1444C42—521no—
1445C13C2×#247711yescharacteristic, complemented, Sylow
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—132no—
1459C23—132no—
1460C23—132no—
1461C23—132no—
1462C23—132no—
1463C23—132no—
1464C23—132no—
1465C23—132no—
1466C23—132no—
1467C23—268no—
1468C23—268no—
1469C23—268no—
1470C23—268no—
1471C23—268no—
1472C23—268no—
1473C23—261no—
1474C23—261no—
1475C23—261no—
1476C23—261no—
1477C23—261no—
1478C23—261no—
1479C23—261no—
1480C23—261no—
1481C23—261no—
1482C23—261no—
1483C23—261no—
1484C23—261no—
1485C23—524no—
1486C23—524no—
1487C23—524no—
1488C23—524no—
1489C23—524no—
1490C23—524no—
1491C23—524no—
1492C23—524no—
1493C23#41×D1312yes—
1494C23#41×D1312yes—
1495C23C24×D1311yescharacteristic
1496Q8—44no—
1497Q8—524no—
1498Q8—524no—
1499Q8—524no—
1500D4—44no—
1501D4—524no—
1502D4—524no—
1503D4—524no—
1504C2×C4—28no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
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—44no—
1540C2×C4—132no—
1541C2×C4—132no—
1542C2×C4—132no—
1543C2×C4—132no—
1544C2×C4—132no—
1545C2×C4—268no—
1546C2×C4—268no—
1547C2×C4—268no—
1548C2×C4—268no—
1549C2×C4—268no—
1550C2×C4—268no—
1551C2×C4—268no—
1552C2×C4—268no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
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—524no—
1588C2×C4—524no—
1589C2×C4—524no—
1590C2×C4—524no—
1591C2×C4—524no—
1592C2×C4—524no—
1593C2×C4—524no—
1594C2×C4—524no—
1595C2×C4—524no—
1596C2×C4—524no—
1597C2×C4—524no—
1598C2×C4C2×D4×D1312yes—
1599C2×C4C2×D4×D1312yes—
1600C2×C4C2×D4×D1312yes—
1601C2×C4#41×D1312yes—
1602C2×C4#41×D1312yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—134no—
1618C22—134no—
1619C22—134no—
1620C22—134no—
1621C22—134no—
1622C22—134no—
1623C22—134no—
1624C22—262no—
1625C22—262no—
1626C22—262no—
1627C22—262no—
1628C22—262no—
1629C22—262no—
1630C22—5216no—
1631C22—5216no—
1632C22—521no—
1633C22—521no—
1634C22—521no—
1635C22—521no—
1636C22—521no—
1637C22—521no—
1638C22—521no—
1639C22—521no—
1640C22C22×D4×D1311yescharacteristic
1641C22C2×#41×D1311yescharacteristic
1642C22C2×#41×D1311yescharacteristic
1643C22C2×#41×D1311yescharacteristic
1644C22C2×#41×D1311yescharacteristic
1645C22D13×H(5,𝔽2)11yescharacteristic
1646C22D13×2−1+411yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—262no—
1661C4—262no—
1662C4—262no—
1663C4—262no—
1664C4—262no—
1665C4—521no—
1666C4—521no—
1667C4—521no—
1668C4—521no—
1669C4—521no—
1670C4—521no—
1671C4—521no—
1672C4—521no—
1673C2—42no—
1674C2—42no—
1675C2—138no—
1676C2—522no—
1677C2—522no—
1678C2D13×#52511yescharacteristic
1679C2D13×#52911yescharacteristic
1680C2D13×#54211yescharacteristic
1681C2D13×#54611yescharacteristic
1682C2D13×#54811yescharacteristic
1683C2D13×#55111yescharacteristic
1684C2D13×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2477C2
prime radicalC22×D4×D13C22
hypercenter#2477D13
hypocenterC13C2×#2477
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C2×D13×C22⋊Q8C2semidirect
2. C2×D13×#117C2semidirect
3. #13119044C2semidirect
4. #13119043C2semidirect
5. #13119042C2semidirect
6. #13119041C2semidirect
7. #13119040C2semidirect
8. #13119039C2semidirect
9. #13119038C2semidirect
10. #13119037C2semidirect
11. #13119036C2semidirect
12. #13119035C2semidirect
13. #13119034C2semidirect
14. #13119033C2semidirect
15. #13119032C2semidirect
16. #13119031C2semidirect
17. #13119030C2semidirect
18. D13×#400C2semidirect
19. D13×#397C2semidirect
21. D13×#393C2semidirect
22. D13×#391C2semidirect
23. D13×#388C2semidirect
24. D13×#388C2semidirect
25. D13×#387C2semidirect
26. D13×#387C2semidirect
29. D13×#385C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2477C2semidirect
36. C2×C13×C22⋊Q8C22semidirect
37. C2×C13×#117C22semidirect
38. C2×#88200C22semidirect
39. C2×#88180C22semidirect
40. C2×#88178C22semidirect
43. C2×#88151C22semidirect
44. C2×#88150C22semidirect
45. C2×#88150C22semidirect
46. C2×#88146C22semidirect
47. C2×#88146C22semidirect
64. C2×#88132C22semidirect
65. C2×#88132C22semidirect
66. C2×#88131C22semidirect
67. C2×#88131C22semidirect
68. C2×#88126C22semidirect
69. C2×#88126C22semidirect
73. C13×#400C22semidirect
74. C13×#397C22semidirect
76. C13×#393C22semidirect
77. C13×#391C22semidirect
78. C13×#388C22semidirect
79. C13×#388C22semidirect
80. C13×#387C22semidirect
81. C13×#387C22semidirect
84. C13×#385C22semidirect
85. C4×C13×C22⋊C4C22semidirect
86. #11718892C22semidirect
87. #11718891C22semidirect
93. #11718871C22semidirect
94. C4×C22⋊Dic13C22semidirect
95. #11718654C22semidirect
97. #11718651C22semidirect
98. #11718651C22semidirect
99. #11718650C22semidirect
100. #11718650C22semidirect
101. #11718647C22semidirect
102. #11718643C22semidirect
103. #11718642C22semidirect
104. #11718642C22semidirect
105. #11718639C22semidirect
106. #11718639C22semidirect
107. #11718635C22semidirect
118. #11718614C22semidirect
119. #11718613C22semidirect
120. #11718613C22semidirect
121. #11718612C22semidirect
122. #11718612C22semidirect
123. #11718611C22semidirect
124. #11718608C22semidirect
125. #11718608C22semidirect
126. #11718608C22semidirect
127. #11718607C22semidirect
128. #11718606C22semidirect
129. #11718606C22semidirect
130. #11718605C22semidirect
131. #11718605C22semidirect
132. C22⋊C4×Dic13C22semidirect
133. C22⋊C4×Dic13C22semidirect
134. #11718601C22semidirect
135. #11718601C22semidirect
136. C4×#6103C22semidirect
137. C4×#6103C22semidirect
138. #11718594C22semidirect
139. #11718594C22semidirect
140. #11718590C22semidirect
141. #11718336C22semidirect
142. #11718336C22semidirect
143. #11718335C22semidirect
144. #11718334C22semidirect
145. #11718334C22semidirect
146. #11718334C22semidirect
148. #11718331C22semidirect
149. #11718331C22semidirect
150. #11718330C22semidirect
151. #11718330C22semidirect
152. #11718329C22semidirect
153. #11718329C22semidirect
154. #11718327C22semidirect
155. #11718327C22semidirect
172. #11718321C22semidirect
173. #11718321C22semidirect
174. #11718320C22semidirect
175. #11718319C22semidirect
176. #11718319C22semidirect
177. #11718316C22semidirect
178. #11718316C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718314C22semidirect
182. #11718314C22semidirect
183. #11718313C22semidirect
184. #11718313C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
323. C4⋊C4×D13D4semidirect
533. C13×C4⋊C4C2×D4semidirect
582. C4⋊Dic13C2×D4semidirect
593. #6101C2×D4semidirect
594. #6101C2×D4semidirect
621. #2477D13direct (N × H)
804. C2×C22⋊Q8C2×D13semidirect
813. C2×#117C2×D13semidirect
840. #400C2×D13semidirect
848. #397C2×D13semidirect
864. #393C2×D13semidirect
872. #391C2×D13semidirect
887. #388C2×D13semidirect
888. #388C2×D13semidirect
903. #387C2×D13semidirect
904. #387C2×D13semidirect
928. #385C2×D13semidirect
936. C4×C22⋊C4C2×D13semidirect
1232. D13#2477direct (N × H)
1392. C4⋊C4D4×D13semidirect
1445. C13C2×#2477semidirect

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×D13×#1172
#131190442
#131190432
#131190422
#131190412
#131190402
#131190392
#131190382
#131190372
#131190362
#131190352
#131190342
#131190332
#131190322
#131190312
#131190302
D13×#4002
D13×#3972
D13×#3942
D13×#3932
D13×#3912
D13×#3882
D13×#3872
D13×#3862
D13×#3852
C4×C22⋊C4×D132
C13×#24772
C2×#247713