Finite Group Databasebeta

← #16035607

Subgroups — #16035607

Order 3328.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D13C211yesmaximal, characteristic, complemented
2#13123148C211yesmaximal, characteristic, complemented
3#13123141C211yesmaximal, characteristic, complemented
4#13123125C211yesmaximal, characteristic, complemented
5#13123120C211yesmaximal, characteristic, complemented
6#13120754C211yesmaximal, characteristic, complemented
7#13120733C211yesmaximal, characteristic, complemented
8#13120705C211yesmaximal, characteristic, complemented
9#13120675C211yesmaximal, characteristic, complemented
10#13119078C211yesmaximal, characteristic, complemented
11#13118973C211yesmaximal, characteristic, complemented
12#13118868C211yesmaximal, characteristic, complemented
13#13118829C211yesmaximal, characteristic, complemented
14#13118784C211yesmaximal, characteristic, complemented
15#13118715C211yesmaximal, characteristic, complemented
16#13118642C211yesmaximal, characteristic, complemented
17#13118641C211yesmaximal, characteristic, complemented
18#13118567C211yesmaximal, characteristic, complemented
19#13118499C211yesmaximal, characteristic, complemented
20#13118383C211yesmaximal, characteristic, complemented
21#13118309C211yesmaximal, characteristic, complemented
22#13118295C211yesmaximal, characteristic, complemented
23#13118228C211yesmaximal, characteristic, complemented
24#13118207C211yesmaximal, characteristic
25#13118160C211yesmaximal, characteristic, complemented
26#13117534C211yesmaximal, characteristic, complemented
27#13117505C211yesmaximal, characteristic, complemented
28#13117469C211yesmaximal, characteristic, complemented
29C4×#88191C211yesmaximal, characteristic, complemented
30C2×#11718650C211yesmaximal, characteristic, complemented
31C2×C13×#539C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C13×#539—28no—
36C2×C13×#126C2211yescharacteristic, complemented
37C2×C13×#126C2211yescharacteristic, complemented
38C2×C13×#125C2211yescharacteristic, complemented
39C2×C13×#125C2211yescharacteristic, complemented
40C2×C13×#123C2211yescharacteristic
41C2×C13×#123C2211yescharacteristic, complemented
42C2×C13×#123C2211yescharacteristic, complemented
43C2×C13×#123C2211yescharacteristic, complemented
44C2×C13×C22⋊Q8C2211yescharacteristic, complemented
45C2×C13×C22⋊Q8C2211yescharacteristic, complemented
46C2×C13×C22⋊Q8C2211yescharacteristic, complemented
47C2×C13×#121C2211yescharacteristic
48C2×C4×D4×C13C2211yescharacteristic
49C2×C4×D4×C13C2211yescharacteristic, complemented
50C22×C13×C4⋊C4C2211yescharacteristic, complemented
51C2×#88200C2211yescharacteristic
52C2×#88200C2211yescharacteristic, complemented
53C2×#88193C2211yescharacteristic
54C2×#88191C2211yescharacteristic
55C2×#88191C2211yescharacteristic
56C2×#88189C2211yescharacteristic, complemented
57C2×D4×Dic13C2211yescharacteristic
58C2×#88183C2211yescharacteristic
59C2×C4×C22⋊D13C2211yescharacteristic
60C2×C4×C22⋊D13C2211yescharacteristic
61C2×C4×C22⋊D13C2211yescharacteristic
62C2×C4×C22⋊D13C2211yescharacteristic, complemented
63C22×#6103C2211yescharacteristic
64C22×#6103C2211yescharacteristic
65C22×#6101C2211yescharacteristic, complemented
66C4×D4×D13—28no—
67C2×#88147C2211yescharacteristic
68C2×C4⋊C4×D13C2211yescharacteristic
69C2×#88135C2211yescharacteristic
70C2×#88135C2211yescharacteristic
71C2×C22⋊C4×D13C2211yescharacteristic
72C2×C22⋊C4×D13C2211yescharacteristic
73C2×C4×D52C2211yescharacteristic
74C2×C42×D13C2211yescharacteristic
75#11718892C2211yescharacteristic, complemented
76#11718890C2211yescharacteristic, complemented
77#11718884C2211yescharacteristic
78#11718883C2211yescharacteristic, complemented
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic
81#11718881C2211yescharacteristic, complemented
82#11718881C2211yescharacteristic, complemented
83#11718874C2211yescharacteristic
84#11718874C2211yescharacteristic, complemented
85#11718873C2211yescharacteristic, complemented
86#11718872C2211yescharacteristic, complemented
87#11718872C2211yescharacteristic, complemented
88#11718871C2211yescharacteristic, complemented
89#11718871C2211yescharacteristic, complemented
90C4×C22⋊Dic13C2211yescharacteristic, complemented
91C2×#88071C2211yescharacteristic, complemented
92C2×#88071C2211yescharacteristic, complemented
93#11718655C2211yescharacteristic, complemented
94#11718655C2211yescharacteristic, complemented
95#11718655C2211yescharacteristic, complemented
96#11718654C2211yescharacteristic, complemented
97#11718654C2211yescharacteristic, complemented
98#11718654C2211yescharacteristic, complemented
99#11718653C2211yescharacteristic, complemented
100#11718653C2211yescharacteristic, complemented
101#11718652C2211yescharacteristic
102#11718652C2211yescharacteristic
103#11718652C2211yescharacteristic
104#11718651C2211yescharacteristic, complemented
105#11718651C2211yescharacteristic, complemented
106#11718650C2211yescharacteristic
107#11718650C2211yescharacteristic
108#11718650C2211yescharacteristic
109#11718650C2211yescharacteristic
110#11718650C2211yescharacteristic
111#11718650C2211yescharacteristic
112#11718650C2211yescharacteristic
113#11718650C2211yescharacteristic
114#11718650C2211yescharacteristic
115#11718650C2211yescharacteristic
116#11718650C2211yescharacteristic, complemented
117#11718650C2211yescharacteristic, complemented
118#11718650C2211yescharacteristic, complemented
119#11718650C2211yescharacteristic, complemented
120#11718650C2211yescharacteristic, complemented
121#11718650C2211yescharacteristic, complemented
122#11718650C2211yescharacteristic, complemented
123#11718650C2211yescharacteristic, complemented
124#11718650C2211yescharacteristic, complemented
125#11718648C2211yescharacteristic
126#11718648C2211yescharacteristic
127#11718648C2211yescharacteristic
128#11718648C2211yescharacteristic, complemented
129#11718647C2211yescharacteristic, complemented
130#11718645C2211yescharacteristic, complemented
131#11718644C2211yescharacteristic, complemented
132#11718644C2211yescharacteristic, complemented
133#11718642C2211yescharacteristic, complemented
134#11718642C2211yescharacteristic, complemented
135#11718641C2211yescharacteristic, complemented
136#11718639C2211yescharacteristic, complemented
137#11718639C2211yescharacteristic, complemented
138#11718639C2211yescharacteristic, complemented
139#11718639C2211yescharacteristic, complemented
140#11718639C2211yescharacteristic, complemented
141#11718639C2211yescharacteristic, complemented
142#11718639C2211yescharacteristic, complemented
143#11718634C2211yescharacteristic, complemented
144#11718634C2211yescharacteristic, complemented
145#11718633C2211yescharacteristic, complemented
146#11718633C2211yescharacteristic, complemented
147#11718622C2211yescharacteristic, complemented
148#11718622C2211yescharacteristic, complemented
149#11718622C2211yescharacteristic, complemented
150#11718621C2211yescharacteristic
151#11718620C2211yescharacteristic
152#11718620C2211yescharacteristic
153#11718620C2211yescharacteristic
154#11718619C2211yescharacteristic
155#11718617C2211yescharacteristic
156#11718617C2211yescharacteristic
157#11718617C2211yescharacteristic
158#11718617C2211yescharacteristic
159#11718617C2211yescharacteristic, complemented
160#11718617C2211yescharacteristic, complemented
161#11718617C2211yescharacteristic, complemented
162#11718616C2211yescharacteristic
163#11718616C2211yescharacteristic
164#11718616C2211yescharacteristic
165#11718616C2211yescharacteristic
166#11718613C2211yescharacteristic, complemented
167#11718613C2211yescharacteristic, complemented
168#11718613C2211yescharacteristic, complemented
169#11718612C2211yescharacteristic, complemented
170#11718612C2211yescharacteristic, complemented
171#11718611C2211yescharacteristic, complemented
172#11718611C2211yescharacteristic, complemented
173#11718610C2211yescharacteristic, complemented
174#11718609C2211yescharacteristic, complemented
175#11718607C2211yescharacteristic, complemented
176#11718607C2211yescharacteristic, complemented
177#11718607C2211yescharacteristic, complemented
178#11718605C2211yescharacteristic, complemented
179#11718605C2211yescharacteristic, complemented
180#11718605C2211yescharacteristic, complemented
181#11718604C2211yescharacteristic, complemented
182#11718603C2211yescharacteristic, complemented
183#11718601C2211yescharacteristic, complemented
184C4×#6103C2211yescharacteristic
185C4×#6103C2211yescharacteristic, complemented
186#11718598C2211yescharacteristic, complemented
187#11718597C2211yescharacteristic, complemented
188#11718594C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C2×D4×D13—24no—
210C2×D4×D13—24no—
211C2×D4×D13—24no—
212C22×D52C2311yescharacteristic
213C22×C4×D13—24no—
214C22×C4×D13—24no—
215C22×C4×D13—42no—
216C22×C4×D13—42no—
217C22×C4×D13—42no—
218C22×C4×D13—42no—
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
228C13×#126—24no—
229C13×#126—24no—
230C13×#125—24no—
231C13×#125—24no—
232C13×#123—24no—
233C13×#123—24no—
234C13×#123—24no—
235C13×#123—24no—
236C13×C22⋊Q8—24no—
237C13×C22⋊Q8—24no—
238C13×C22⋊Q8—24no—
239C13×#121—24no—
240C4×D4×C13—24no—
241C4×D4×C13D418yescomplemented
242C2×C13×C4⋊C4—24no—
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×C4⋊C4C2311yescharacteristic
252C2×C13×C4⋊C4C2311yescharacteristic
253C2×C13×C4⋊C4C2311yescharacteristic
254C2×C13×C4⋊C4C2311yescharacteristic
255C2×C13×C4⋊C4C2311yescharacteristic
256C2×C13×C4⋊C4C2311yescharacteristic
257C2×C13×C22⋊C4C2311yescharacteristic
258C2×C13×C22⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4C2311yescharacteristic
260C2×C13×C22⋊C4C2311yescharacteristic
261C2×C13×C22⋊C4C2311yescharacteristic
262C2×C13×C22⋊C4C2311yescharacteristic
263C2×C13×C22⋊C4C2311yescharacteristic
264C2×C13×C22⋊C4C2311yescharacteristic
265C2×C13×C22⋊C4C2311yescharacteristic
266C2×C13×C22⋊C4C2311yescharacteristic
267C2×C42×C13C2311yescharacteristic
268C2×C42×C13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279C2×C22⋊Dic13C2311yescharacteristic
280C2×C22⋊Dic13C2311yescharacteristic
281C2×C22⋊Dic13C2311yescharacteristic
282#88200—42no—
283#88200—42no—
284#88193—24no—
285#88191—24no—
286#88191—42no—
287#88189—42no—
288D4×Dic13—24no—
289#88183—24no—
290C4×C22⋊D13—24no—
291C4×C22⋊D13—24no—
292C4×C22⋊D13—42no—
293C4×C22⋊D13—42no—
294C2×#6103—24no—
295C2×#6103—42no—
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×#6103C2311yescharacteristic
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×#6103C2311yescharacteristic
314C2×#6103C2311yescharacteristic
315C2×#6103C2311yescharacteristic
316C2×#6103C2311yescharacteristic
317C2×#6103C2311yescharacteristic
318C2×#6103C2311yescharacteristic
319C2×#6103C2311yescharacteristic
320C2×#6103C2311yescharacteristic
321C2×C4⋊Dic13C2311yescharacteristic
322C2×C4⋊Dic13C2311yescharacteristic
323C2×C4⋊Dic13C2311yescharacteristic
324C2×C4⋊Dic13C2311yescharacteristic
325C2×C4⋊Dic13C2311yescharacteristic
326C2×#6101—42no—
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×C4×Dic13C2311yescharacteristic
343C2×C4×Dic13C2311yescharacteristic
344C2×C4×Dic13C2311yescharacteristic
345C2×C4×Dic13C2311yescharacteristic
346C2×C4×Dic13C2311yescharacteristic
347#88147—24no—
348C4⋊C4×D13—24no—
349#88135—24no—
350#88135—24no—
351C22⋊C4×D13—24no—
352C22⋊C4×D13—24no—
353C4×D52—24no—
354C42×D13—24no—
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
391#34991—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
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—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13#4114yes—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×Q8×C13—22no—
413C2×Q8×C13—41no—
414C2×Q8×C13—41no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—22no—
419C2×D4×C13—22no—
420C2×D4×C13—22no—
421C2×D4×C13—41no—
422C2×D4×C13—41no—
423C2×D4×C13C2×D414yes—
424C22×C4×C13—22no—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—22no—
428C22×C4×C13—22no—
429C22×C4×C13—41no—
430C22×C4×C13—41no—
431C22×C4×C13—41no—
432C22×C4×C13—41no—
433C22×C4×C13—41no—
434C22×C4×C13—41no—
435C22×C4×C13—41no—
436C22×C4×C13—41no—
437C22×C4×C13C2×D414yes—
438C22×C4×C13C2×D414yes—
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C2×C22⋊D13—22no—
452C2×C22⋊D13—22no—
453C2×C22⋊D13—22no—
454C2×C22⋊D13—22no—
455C2×C22⋊D13—22no—
456C2×C22⋊D13—22no—
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—41no—
462C2×C22⋊D13—41no—
463C2×C22⋊D13—41no—
464C2×C22⋊D13—41no—
465C2×C22⋊D13#4114yes—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—22no—
470C22×Dic13—22no—
471C22×Dic13—22no—
472C22×Dic13—41no—
473C22×Dic13—41no—
474C22×Dic13—41no—
475C22×Dic13—41no—
476C22×Dic13—41no—
477C22×Dic13—41no—
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491D4×D13—232no—
492C2×D52—22no—
493C2×D52—22no—
494C2×D52—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—416no—
514C2×C4×D13—416no—
515C2×C4×D13—41no—
516C2×C4×D13—41no—
517C2×C4×D13—41no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×C4×D13—41no—
522C2×C4×D13—41no—
523C2×C4×D13—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C4⋊C4—22no—
529C13×C4⋊C4—22no—
530C13×C4⋊C4—22no—
531C13×C4⋊C4—22no—
532C13×C4⋊C4—22no—
533C13×C4⋊C4—22no—
534C13×C4⋊C4—22no—
535C13×C4⋊C4—22no—
536C13×C4⋊C4—22no—
537C13×C4⋊C4C2×D414yes—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—22no—
540C13×C22⋊C4—22no—
541C13×C22⋊C4—22no—
542C13×C22⋊C4—22no—
543C13×C22⋊C4—22no—
544C13×C22⋊C4—22no—
545C13×C22⋊C4—22no—
546C13×C22⋊C4C2×D414yes—
547C13×C22⋊C4C2×D414yes—
548C42×C13—22no—
549C42×C13C2×D414yes—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—41no—
557C22⋊Dic13—41no—
558C22⋊Dic13—41no—
559C22⋊Dic13—41no—
560C22⋊Dic13—41no—
561C22⋊Dic13—41no—
562C22⋊Dic13—41no—
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—22no—
576#6103—22no—
577#6103—22no—
578#6103—22no—
579#6103—22no—
580#6103—41no—
581#6103—41no—
582#6103—41no—
583#6103—41no—
584#6103—41no—
585#6103—41no—
586#6103—41no—
587#6103—41no—
588C4⋊Dic13—22no—
589C4⋊Dic13—41no—
590C4⋊Dic13—41no—
591C4⋊Dic13—41no—
592C4⋊Dic13—41no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—22no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604#6101—41no—
605#6101—41no—
606#6101—41no—
607#6101—41no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×Dic13—41no—
613C2×#539D1311yescharacteristic, complemented
614C22×C4×D4—131no—
615#2852—131no—
616#2851—131no—
617#2849—131no—
618#2848—131no—
619#2638—131no—
620#2636—131no—
621#2633—131no—
622#2630—131no—
623#2480—131no—
624#2473—131no—
625#2466—131no—
626#2463—131no—
627#2460—131no—
628#2455—131no—
629#2449—131no—
630#2449—131no—
631#2443—131no—
632#2437—131no—
633#2425—131no—
634#2419—131no—
635#2418—131no—
636#2412—131no—
637#2410—131no—
638#2405—131no—
639#2325—131no—
640#2322—131no—
641#2318—131no—
642C4×#120—131no—
643C2×#385—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13C22×D412yes—
662C23×C13C22×D412yes—
663C23×C13C2×#4112yes—
664C23×C13C2×#4112yes—
665C23×C13C2511yescharacteristic
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—28no—
671C22×D13—28no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—28no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13C2×#4112yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13H(5,𝔽2)12yes—
700C22×D132−1+412yes—
701Q8×C13—82no—
702D4×C13—28no—
703D4×C13—44no—
704D4×C13—82no—
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—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—44no—
737C2×C4×C13—44no—
738C2×C4×C13—44no—
739C2×C4×C13—82no—
740C2×C4×C13—82no—
741C2×C4×C13C22×D412yes—
742C2×C4×C13C22×D412yes—
743C2×C4×C13C22×D412yes—
744C2×C4×C13C22×D412yes—
745C2×C4×C13C22×D412yes—
746C22⋊D13—28no—
747C22⋊D13—28no—
748C22⋊D13—44no—
749C22⋊D13—44no—
750C22⋊D13—82no—
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—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—44no—
789C2×Dic13—44no—
790C2×Dic13—44no—
791C2×Dic13—82no—
792C2×Dic13C2×#4112yes—
793C2×Dic13H(5,𝔽2)12yes—
794D52—28no—
795C4×D13—28no—
796C4×D13—28no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—44no—
803C4×D13—44no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#539—28no—
808C2×#126C2×D1311yescharacteristic, complemented
809C2×#126C2×D1311yescharacteristic, complemented
810C2×#125C2×D1311yescharacteristic, complemented
811C2×#125C2×D1311yescharacteristic, complemented
812C2×#123—131no—
813C2×#123—131no—
814C2×#123C2×D1311yescharacteristic
815C2×#123C2×D1311yescharacteristic, complemented
816C2×#123C2×D1311yescharacteristic, complemented
817C2×#123C2×D1311yescharacteristic, complemented
818C2×C22⋊Q8—131no—
819C2×C22⋊Q8—131no—
820C2×C22⋊Q8C2×D1311yescharacteristic, complemented
821C2×C22⋊Q8C2×D1311yescharacteristic, complemented
822C2×C22⋊Q8C2×D1311yescharacteristic, complemented
823C2×#121—131no—
824C2×#121C2×D1311yescharacteristic
825C2×#120—131no—
826C2×#120—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4—131no—
832C2×C4×D4—131no—
833C2×C4×D4—131no—
834C2×C4×D4—131no—
835C2×C4×D4—131no—
836C2×C4×D4—268no—
837C2×C4×D4C2×D1311yescharacteristic
838C2×C4×D4C2×D1311yescharacteristic, complemented
839C22×C4⋊C4—131no—
840C22×C4⋊C4—131no—
841C22×C4⋊C4C2×D1311yescharacteristic, complemented
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C22⋊C4—131no—
845C22×C22⋊C4—131no—
846C22×C42—131no—
847#400—131no—
848#399—131no—
849#399—131no—
850#399—131no—
851#398—131no—
852#398—131no—
853#398—131no—
854#398—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#396—131no—
862#396—131no—
863#396—131no—
864#396—131no—
865#395—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#394—131no—
876#393—131no—
877#392—131no—
878#392—131no—
879#389—131no—
880#389—131no—
881#389—131no—
882#389—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—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#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
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#385—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#385—131no—
921#385—131no—
922#385—131no—
923#385—131no—
924#385—131no—
925#385—131no—
926#385—131no—
927#385—131no—
928#385—131no—
929#385—131no—
930#385—131no—
931#385—131no—
932#385—131no—
933#385—131no—
934#385—131no—
935#385—131no—
936#385—131no—
937#385—131no—
938#385—131no—
939#385—131no—
940#385—131no—
941#383—131no—
942#382—131no—
943#381—131no—
944#381—131no—
945#381—131no—
946#380—131no—
947#380—131no—
948#380—131no—
949#380—131no—
950#380—131no—
951#380—131no—
952#379—131no—
953#379—131no—
954#379—131no—
955#379—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958C4×C22⋊C4—131no—
959C2×#95—131no—
960C2×#95—131no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—22no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13—41no—
975C22×C13—41no—
976C22×C13—41no—
977C22×C13—41no—
978C22×C13—41no—
979C22×C13—41no—
980C22×C13—41no—
981C22×C13#52514yes—
982C22×C13C23×D411yescharacteristic
983C22×C13C22×#4111yescharacteristic
984C22×C13C22×#4111yescharacteristic
985C22×C13C2×H(5,𝔽2)11yescharacteristic
986C22×C13C2×H(5,𝔽2)11yescharacteristic
987C22×C13C2×2−1+411yescharacteristic
988C22×C13#58511yescharacteristic
989C2×D13—22no—
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—22no—
995C2×D13—22no—
996C2×D13—22no—
997C2×D13—22no—
998C2×D13—22no—
999C2×D13—22no—
1000C2×D13—22no—
1001C2×D13—416no—
1002C2×D13—416no—
1003C2×D13—41no—
1004C2×D13—41no—
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C2×D13—41no—
1010C2×D13—41no—
1011C2×D13#53914yescomplemented
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—22no—
1016C4×C13—22no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—41no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25—131no—
1038C25—131no—
1039C22×Q8C22×D1311yescharacteristic
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—264no—
1047C22×D4—264no—
1048C22×D4—264no—
1049C22×D4C22×D1311yescharacteristic
1050C22×D4C22×D1311yescharacteristic
1051C22×D4C22×D1311yescharacteristic
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—131no—
1063C23×C4—131no—
1064C23×C4—131no—
1065C23×C4—264no—
1066C23×C4—264no—
1067C23×C4—522no—
1068C23×C4—522no—
1069C23×C4—522no—
1070C23×C4—522no—
1071C23×C4C22×D1311yescharacteristic
1072C23×C4C22×D1311yescharacteristic
1073C23×C4C22×D1311yescharacteristic
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—24no—
1077#126—24no—
1078#125—24no—
1079#125—24no—
1080#123—24no—
1081#123—24no—
1082#123—24no—
1083#123—24no—
1084#123—264no—
1085#123—522no—
1086C22⋊Q8—24no—
1087C22⋊Q8—24no—
1088C22⋊Q8—24no—
1089C22⋊Q8—522no—
1090C22⋊Q8—522no—
1091#121—24no—
1092#121—264no—
1093#120—264no—
1094#120—522no—
1095C4×D4—24no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—264no—
1102C4×D4—264no—
1103C4×D4—522no—
1104C4×D4—522no—
1105C4×D4C22⋊D1318yescomplemented
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—131no—
1127C2×C4⋊C4—264no—
1128C2×C4⋊C4—522no—
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×C4⋊C4C22×D1311yescharacteristic
1134C2×C4⋊C4C22×D1311yescharacteristic
1135C2×C4⋊C4C22×D1311yescharacteristic
1136C2×C4⋊C4C22×D1311yescharacteristic
1137C2×C4⋊C4C22×D1311yescharacteristic
1138C2×C4⋊C4C22×D1311yescharacteristic
1139C2×C4⋊C4C22×D1311yescharacteristic
1140C2×C4⋊C4C22×D1311yescharacteristic
1141C2×C4⋊C4C22×D1311yescharacteristic
1142C2×C4⋊C4C22×D1311yescharacteristic
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—131no—
1177C2×C22⋊C4—131no—
1178C2×C22⋊C4—131no—
1179C2×C22⋊C4—131no—
1180C2×C22⋊C4—131no—
1181C2×C22⋊C4—264no—
1182C2×C22⋊C4—264no—
1183C2×C22⋊C4—264no—
1184C2×C22⋊C4—522no—
1185C2×C22⋊C4C22×D1311yescharacteristic
1186C2×C22⋊C4C22×D1311yescharacteristic
1187C2×C22⋊C4C22×D1311yescharacteristic
1188C2×C22⋊C4C22×D1311yescharacteristic
1189C2×C22⋊C4C22×D1311yescharacteristic
1190C2×C22⋊C4C22×D1311yescharacteristic
1191C2×C22⋊C4C22×D1311yescharacteristic
1192C2×C22⋊C4C22×D1311yescharacteristic
1193C2×C22⋊C4C22×D1311yescharacteristic
1194C2×C22⋊C4C22×D1311yescharacteristic
1195C2×C42—131no—
1196C2×C42—131no—
1197C2×C42—131no—
1198C2×C42—131no—
1199C2×C42—131no—
1200C2×C42—264no—
1201C2×C42C22×D1311yescharacteristic
1202C2×C42C22×D1311yescharacteristic
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#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95—131no—
1232#95—131no—
1233#95—131no—
1234#95—131no—
1235#95—131no—
1236#95—131no—
1237#95—131no—
1238#95—131no—
1239C2×C13—24no—
1240C2×C13—42no—
1241C2×C13—81no—
1242C2×C13C2×#52511yescharacteristic
1243C2×C13C2×#53911yescharacteristic
1244C2×C13#345911yescharacteristic
1245C2×C13#348411yescharacteristic
1246C2×C13#348911yescharacteristic
1247C2×C13#351311yescharacteristic
1248C2×C13#352011yescharacteristic
1249D13—24no—
1250D13—42no—
1251D13—42no—
1252C24—131no—
1253C24—131no—
1254C24—131no—
1255C24—134no—
1256C24—262no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—521no—
1266C24—521no—
1267C24—521no—
1268C24—521no—
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—22no—
1273C2×Q8—41no—
1274C2×Q8—41no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—134no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—262no—
1287C2×D4—2632no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—262no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—262no—
1298C2×D4—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4—521no—
1302C2×D4C2×C22⋊D1314yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
1328C22×C4—131no—
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—521no—
1354C22×C4—521no—
1355C22×C4—521no—
1356C22×C4—521no—
1357C22×C4—521no—
1358C22×C4—521no—
1359C22×C4—521no—
1360C22×C4—521no—
1361C22×C4—521no—
1362C22×C4—5216no—
1363C22×C4—5216no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—521no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4C2×C22⋊D1314yes—
1371C22×C4C2×C22⋊D1314yes—
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
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
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
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—521no—
1407C4⋊C4—521no—
1408C4⋊C4—521no—
1409C4⋊C4—521no—
1410C4⋊C4—521no—
1411C4⋊C4—521no—
1412C4⋊C4—521no—
1413C4⋊C4—521no—
1414C4⋊C4—521no—
1415C4⋊C4—521no—
1416C4⋊C4—521no—
1417C4⋊C4C2×C22⋊D1314yes—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
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—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—521no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C22⋊C4—521no—
1459C22⋊C4—521no—
1460C22⋊C4—521no—
1461C22⋊C4—521no—
1462C22⋊C4—521no—
1463C22⋊C4—521no—
1464C22⋊C4C2×C22⋊D1314yes—
1465C22⋊C4C2×C22⋊D1314yes—
1466C42—22no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—521no—
1471C42—521no—
1472C42C2×C22⋊D1314yes—
1473C13#3499111yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—132no—
1492C23—132no—
1493C23—132no—
1494C23—132no—
1495C23—132no—
1496C23—268no—
1497C23—268no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—268no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—261no—
1515C23—524no—
1516C23—524no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23#41×D1312yes—
1527C23#41×D1312yes—
1528C23C22×C22⋊D1312yes—
1529C23C22×C22⋊D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—44no—
1534D4—82no—
1535D4—268no—
1536D4—268no—
1537D4—268no—
1538D4—524no—
1539D4—524no—
1540D4—1042no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—268no—
1580C2×C4—268no—
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—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—524no—
1619C2×C4—524no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4—524no—
1628C2×C4—1042no—
1629C2×C4C22×C22⋊D1312yes—
1630C2×C4C22×C22⋊D1312yes—
1631C2×C4C22×C22⋊D1312yes—
1632C2×C4C22×C22⋊D1312yes—
1633C2×C4C22×C22⋊D1312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—134no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—262no—
1661C22—262no—
1662C22—262no—
1663C22—262no—
1664C22—262no—
1665C22—262no—
1666C22—262no—
1667C22—5216no—
1668C22—5216no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22#1171953314yes—
1678C22C2×#41×D1311yescharacteristic
1679C22C2×#41×D1311yescharacteristic
1680C22D13×H(5,𝔽2)11yescharacteristic
1681C22D13×H(5,𝔽2)11yescharacteristic
1682C22D13×2−1+411yescharacteristic
1683C22#1171965211yescharacteristic
1684C22C23×C22⋊D1311yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—262no—
1698C4—262no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—264no—
1714C2—522no—
1715C2—522no—
1716C2C2×#1171953311yescharacteristic
1717C2D13×#53911yescharacteristic
1718C2#1312824411yescharacteristic
1719C2#1312846711yescharacteristic
1720C2#1312850911yescharacteristic
1721C2#1312876611yescharacteristic
1722C2#1312887711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC2×C13×#539C2
prime radical#13118207C2
hypercenterC2×#539D13
hypocenterC13#34991
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D13C2semidirect
2. #13123148C2semidirect
3. #13123141C2semidirect
4. #13123125C2semidirect
5. #13123120C2semidirect
6. #13120754C2semidirect
7. #13120733C2semidirect
8. #13120705C2semidirect
9. #13120675C2semidirect
10. #13119078C2semidirect
11. #13118973C2semidirect
12. #13118868C2semidirect
13. #13118829C2semidirect
14. #13118784C2semidirect
15. #13118715C2semidirect
16. #13118642C2semidirect
17. #13118641C2semidirect
18. #13118567C2semidirect
19. #13118499C2semidirect
20. #13118383C2semidirect
21. #13118309C2semidirect
22. #13118295C2semidirect
23. #13118228C2semidirect
25. #13118160C2semidirect
26. #13117534C2semidirect
27. #13117505C2semidirect
28. #13117469C2semidirect
29. C4×#88191C2semidirect
30. C2×#11718650C2semidirect
31. C2×C13×#539C2semidirect
36. C2×C13×#126C22semidirect
37. C2×C13×#126C22semidirect
38. C2×C13×#125C22semidirect
39. C2×C13×#125C22semidirect
41. C2×C13×#123C22semidirect
42. C2×C13×#123C22semidirect
43. C2×C13×#123C22semidirect
44. C2×C13×C22⋊Q8C22semidirect
45. C2×C13×C22⋊Q8C22semidirect
46. C2×C13×C22⋊Q8C22semidirect
49. C2×C4×D4×C13C22semidirect
50. C22×C13×C4⋊C4C22semidirect
52. C2×#88200C22semidirect
56. C2×#88189C22semidirect
62. C2×C4×C22⋊D13C22semidirect
65. C22×#6101C22semidirect
75. #11718892C22semidirect
76. #11718890C22semidirect
78. #11718883C22semidirect
81. #11718881C22semidirect
82. #11718881C22semidirect
84. #11718874C22semidirect
85. #11718873C22semidirect
86. #11718872C22semidirect
87. #11718872C22semidirect
88. #11718871C22semidirect
89. #11718871C22semidirect
90. C4×C22⋊Dic13C22semidirect
91. C2×#88071C22semidirect
92. C2×#88071C22semidirect
93. #11718655C22semidirect
94. #11718655C22semidirect
95. #11718655C22semidirect
96. #11718654C22semidirect
97. #11718654C22semidirect
98. #11718654C22semidirect
99. #11718653C22semidirect
100. #11718653C22semidirect
104. #11718651C22semidirect
105. #11718651C22semidirect
116. #11718650C22semidirect
117. #11718650C22semidirect
118. #11718650C22semidirect
119. #11718650C22semidirect
120. #11718650C22semidirect
121. #11718650C22semidirect
122. #11718650C22semidirect
123. #11718650C22semidirect
124. #11718650C22semidirect
128. #11718648C22semidirect
129. #11718647C22semidirect
130. #11718645C22semidirect
131. #11718644C22semidirect
132. #11718644C22semidirect
133. #11718642C22semidirect
134. #11718642C22semidirect
135. #11718641C22semidirect
136. #11718639C22semidirect
137. #11718639C22semidirect
138. #11718639C22semidirect
139. #11718639C22semidirect
140. #11718639C22semidirect
141. #11718639C22semidirect
142. #11718639C22semidirect
143. #11718634C22semidirect
144. #11718634C22semidirect
145. #11718633C22semidirect
146. #11718633C22semidirect
147. #11718622C22semidirect
148. #11718622C22semidirect
149. #11718622C22semidirect
159. #11718617C22semidirect
160. #11718617C22semidirect
161. #11718617C22semidirect
166. #11718613C22semidirect
167. #11718613C22semidirect
168. #11718613C22semidirect
169. #11718612C22semidirect
170. #11718612C22semidirect
171. #11718611C22semidirect
172. #11718611C22semidirect
173. #11718610C22semidirect
174. #11718609C22semidirect
175. #11718607C22semidirect
176. #11718607C22semidirect
177. #11718607C22semidirect
178. #11718605C22semidirect
179. #11718605C22semidirect
180. #11718605C22semidirect
181. #11718604C22semidirect
182. #11718603C22semidirect
183. #11718601C22semidirect
185. C4×#6103C22semidirect
186. #11718598C22semidirect
187. #11718597C22semidirect
188. #11718594C22semidirect
241. C4×D4×C13D4semidirect
613. C2×#539D13semidirect
808. C2×#126C2×D13semidirect
809. C2×#126C2×D13semidirect
810. C2×#125C2×D13semidirect
811. C2×#125C2×D13semidirect
815. C2×#123C2×D13semidirect
816. C2×#123C2×D13semidirect
817. C2×#123C2×D13semidirect
820. C2×C22⋊Q8C2×D13semidirect
821. C2×C22⋊Q8C2×D13semidirect
822. C2×C22⋊Q8C2×D13semidirect
838. C2×C4×D4C2×D13semidirect
841. C22×C4⋊C4C2×D13semidirect
1011. C2×D13#539semidirect
1105. C4×D4C22⋊D13semidirect
1473. C13#34991semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D132
#131231482
#131231412
#131231252
#131231202
#131207542
#131207332
#131207052
#131206752
#131190782
#131189732
#131188682
#131188292
#131187842
#131187152
#131186422
#131186412
#131185672
#131184992
#131183832
#131183092
#131182952
#131182282
#131182072
#131181602
#131175342
#131175052
#131174692
C4×#881912
C2×#117186502
C2×C13×#5392
#3499113