Finite Group Databasebeta

← #16070329

Subgroups — #16070329

Order 3328.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719339C211yesmaximal, characteristic, complemented
2C2×#11719318C211yesmaximal, characteristic
3#13123187C211yesmaximal, characteristic, complemented
4#13123136C211yesmaximal, characteristic, complemented
5#13121441C211yesmaximal, characteristic, complemented
6#13121438C211yesmaximal, characteristic, complemented
7#13121406C211yesmaximal, characteristic, complemented
8#13121403C211yesmaximal, characteristic, complemented
9#13121285C211yesmaximal, characteristic, complemented
10#13121284C211yesmaximal, characteristic, complemented
11#13121263C211yesmaximal, characteristic, complemented
12#13121260C211yesmaximal, characteristic, complemented
13#13121185C211yesmaximal, characteristic, complemented
14#13121175C211yesmaximal, characteristic, complemented
15#13121173C211yesmaximal, characteristic, complemented
16#13121124C211yesmaximal, characteristic, complemented
17#13121119C211yesmaximal, characteristic, complemented
18#13121081C211yesmaximal, characteristic, complemented
19#13121080C211yesmaximal, characteristic, complemented
20#13120951C211yesmaximal, characteristic, complemented
21#13120767C211yesmaximal, characteristic, complemented
22#13120021C211yesmaximal, characteristic, complemented
23#13120013C211yesmaximal, characteristic, complemented
24#13118283C211yesmaximal, characteristic, complemented
25#13118280C211yesmaximal, characteristic, complemented
26#13118235C211yesmaximal, characteristic, complemented
27#13118228C211yesmaximal, characteristic, complemented
28#13118227C211yesmaximal, characteristic, complemented
29#13118227C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2681C211yesmaximal, characteristic, complemented
32C2×C13×#123C2211yescharacteristic
33C2×C13×C22⋊Q8C2211yescharacteristic
34C2×C13×C22⋊Q8C2211yescharacteristic, complemented
35C2×C13×#121C2211yescharacteristic
36C2×#88200C2211yescharacteristic
37C2×#88200C2211yescharacteristic
38C2×#88193C2211yescharacteristic
39C2×#88192C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×#88190C2211yescharacteristic
43C2×#88190C2211yescharacteristic, complemented
44C2×#88189C2211yescharacteristic
45C2×#88189C2211yescharacteristic
46C2×#88183C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C22×#6103C2211yescharacteristic
49C2×#88178C2211yescharacteristic
50#11719339—28no—
51#11719318—28no—
52C2×#88152C2211yescharacteristic
53C2×#88151C2211yescharacteristic
54C2×#88151C2211yescharacteristic
55C2×#88150C2211yescharacteristic
56C2×#88150C2211yescharacteristic
57C2×#88150C2211yescharacteristic
58C2×#88150C2211yescharacteristic
59C2×#88150C2211yescharacteristic
60C2×C4⋊C4×D13C2211yescharacteristic
61C2×#88142C2211yescharacteristic, complemented
62C2×#88139C2211yescharacteristic
63C2×#88137C2211yescharacteristic
64C2×#88137C2211yescharacteristic
65C2×#88135C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×#88133C2211yescharacteristic
71C2×#88132C2211yescharacteristic
72C2×#88132C2211yescharacteristic
73C2×#88132C2211yescharacteristic, complemented
74C2×C42×D13C2211yescharacteristic
75C13×#398C2211yescharacteristic, complemented
76C13×#396C2211yescharacteristic, complemented
77C13×#394C2211yescharacteristic
78C13×#394C2211yescharacteristic
79C13×#394C2211yescharacteristic, complemented
80C13×#393C2211yescharacteristic, complemented
81C13×#390C2211yescharacteristic, complemented
82C13×#389C2211yescharacteristic, complemented
83C13×#388C2211yescharacteristic
84C13×#386C2211yescharacteristic
85C13×#385C2211yescharacteristic, complemented
86#11718891C2211yescharacteristic, complemented
87#11718890C2211yescharacteristic, complemented
88#11718883C2211yescharacteristic
89#11718883C2211yescharacteristic
90#11718883C2211yescharacteristic, complemented
91#11718881C2211yescharacteristic
92#11718873C2211yescharacteristic, complemented
93#11718872C2211yescharacteristic
94#11718871C2211yescharacteristic
95#11718871C2211yescharacteristic, complemented
96#11718654C2211yescharacteristic
97#11718654C2211yescharacteristic
98#11718651C2211yescharacteristic
99#11718650C2211yescharacteristic
100#11718650C2211yescharacteristic
101#11718648C2211yescharacteristic
102#11718648C2211yescharacteristic
103#11718648C2211yescharacteristic
104#11718648C2211yescharacteristic
105#11718647C2211yescharacteristic, complemented
106#11718646C2211yescharacteristic, complemented
107#11718645C2211yescharacteristic, complemented
108#11718645C2211yescharacteristic, complemented
109#11718645C2211yescharacteristic, complemented
110#11718644C2211yescharacteristic, complemented
111#11718641C2211yescharacteristic, complemented
112#11718641C2211yescharacteristic, complemented
113#11718641C2211yescharacteristic, complemented
114#11718640C2211yescharacteristic, complemented
115#11718640C2211yescharacteristic, complemented
116#11718639C2211yescharacteristic, complemented
117#11718638C2211yescharacteristic, complemented
118#11718637C2211yescharacteristic, complemented
119#11718633C2211yescharacteristic, complemented
120#11718633C2211yescharacteristic, complemented
121#11718633C2211yescharacteristic, complemented
122#11718622C2211yescharacteristic
123#11718622C2211yescharacteristic
124#11718620C2211yescharacteristic
125#11718620C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic
128#11718617C2211yescharacteristic
129#11718617C2211yescharacteristic
130#11718617C2211yescharacteristic
131#11718617C2211yescharacteristic
132#11718617C2211yescharacteristic
133#11718617C2211yescharacteristic
134#11718617C2211yescharacteristic
135#11718617C2211yescharacteristic
136#11718614C2211yescharacteristic
137#11718614C2211yescharacteristic
138#11718613C2211yescharacteristic
139#11718613C2211yescharacteristic
140#11718613C2211yescharacteristic, complemented
141#11718613C2211yescharacteristic, complemented
142#11718612C2211yescharacteristic
143#11718612C2211yescharacteristic, complemented
144#11718612C2211yescharacteristic, complemented
145#11718612C2211yescharacteristic, complemented
146#11718612C2211yescharacteristic, complemented
147#11718611C2211yescharacteristic
148#11718610C2211yescharacteristic, complemented
149#11718610C2211yescharacteristic, complemented
150#11718609C2211yescharacteristic, complemented
151#11718609C2211yescharacteristic, complemented
152#11718609C2211yescharacteristic, complemented
153#11718608C2211yescharacteristic, complemented
154#11718608C2211yescharacteristic, complemented
155#11718608C2211yescharacteristic, complemented
156#11718607C2211yescharacteristic, complemented
157#11718607C2211yescharacteristic, complemented
158#11718606C2211yescharacteristic
159#11718605C2211yescharacteristic
160#11718604C2211yescharacteristic
161#11718603C2211yescharacteristic, complemented
162#11718601C2211yescharacteristic
163#11718590C2211yescharacteristic, complemented
164#11718589C2211yescharacteristic, complemented
165#11718336C2211yescharacteristic
166#11718336C2211yescharacteristic
167#11718331C2211yescharacteristic
168#11718330C2211yescharacteristic
169#11718328C2211yescharacteristic
170#11718328C2211yescharacteristic
171#11718328C2211yescharacteristic
172#11718328C2211yescharacteristic
173#11718325C2211yescharacteristic
174#11718325C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177#11718320C2211yescharacteristic, complemented
178#11718320C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718317C2211yescharacteristic, complemented
181#11718317C2211yescharacteristic, complemented
182#11718317C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C22×Q8×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C22×C4×D13C2311yescharacteristic
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×Dic26C2311yescharacteristic
211C22×Dic26C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C22×Dic26C2311yescharacteristic
214C13×#123—42no—
215C13×C22⋊Q8—24no—
216C13×C22⋊Q8—42no—
217C13×#121—24no—
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258#88200—24no—
259#88200—24no—
260#88193—24no—
261#88192—24no—
262#88191—24no—
263#88191—24no—
264#88190—24no—
265#88190—42no—
266#88189—24no—
267#88189—42no—
268#88183—24no—
269C4×C22⋊D13—24no—
270C2×#6103—24no—
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
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296#88178—24no—
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322#88152—24no—
323#88151—24no—
324#88151—24no—
325#88150—24no—
326#88150—24no—
327#88150—24no—
328#88150—24no—
329#88150—24no—
330C4⋊C4×D13—42no—
331#88142—42no—
332#88139—24no—
333#88137—42no—
334#88137—42no—
335#88135—24no—
336C22⋊C4×D13—24no—
337C22⋊C4×D13—42no—
338C22⋊C4×D13—42no—
339C22⋊C4×D13D418yes—
340#88133—24no—
341#88132—24no—
342#88132—24no—
343#88132—42no—
344C42×D13—42no—
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
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#36740—131nomaximal, Sylow
386C24×C13C2411yescharacteristic
387C24×C13C2411yescharacteristic
388C24×C13C2411yescharacteristic
389C23×D13—22no—
390C23×D13—22no—
391C23×D13—41no—
392C23×D13—41no—
393C23×D13—41no—
394C23×D13—41no—
395C23×D13C2×D414yes—
396C23×D13C2411yescharacteristic
397C23×D13C2411yescharacteristic
398C2×Q8×C13—22no—
399C2×Q8×C13—41no—
400C2×Q8×C13—41no—
401C2×D4×C13—22no—
402C2×D4×C13—22no—
403C2×D4×C13—22no—
404C2×D4×C13—41no—
405C2×D4×C13—41no—
406C2×D4×C13—41no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C2×D4×C13—41no—
410C22×C4×C13—22no—
411C22×C4×C13—22no—
412C22×C4×C13—41no—
413C22×C4×C13—41no—
414C22×C4×C13—41no—
415C22×C4×C13—41no—
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—41no—
437C2×C22⋊D13—41no—
438C2×C22⋊D13—41no—
439C2×C22⋊D13—41no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13—41no—
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13C2×D414yes—
483C2×C4×D13C2×D414yes—
484C2×Dic26—22no—
485C2×Dic26—22no—
486C2×Dic26—22no—
487C2×Dic26—22no—
488C2×Dic26—41no—
489C2×Dic26—41no—
490C2×Dic26—41no—
491C2×Dic26—41no—
492C2×Dic26—41no—
493C2×Dic26—41no—
494C2×Dic26—41no—
495C2×Dic26—41no—
496C13×C4⋊C4—22no—
497C13×C4⋊C4—22no—
498C13×C4⋊C4—22no—
499C13×C4⋊C4—22no—
500C13×C4⋊C4—22no—
501C13×C4⋊C4—22no—
502C13×C4⋊C4—41no—
503C13×C4⋊C4—41no—
504C13×C4⋊C4—41no—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—22no—
507C13×C22⋊C4—22no—
508C13×C22⋊C4—22no—
509C13×C22⋊C4—22no—
510C13×C22⋊C4—41no—
511C13×C22⋊C4—41no—
512C13×C22⋊C4—41no—
513C13×C22⋊C4—41no—
514C13×C22⋊C4—41no—
515C13×C22⋊C4—41no—
516C13×C22⋊C4—41no—
517C13×C22⋊C4C2×D414yes—
518C42×C13—41no—
519C22⋊Dic13—22no—
520C22⋊Dic13—22no—
521C22⋊Dic13—22no—
522C22⋊Dic13—22no—
523C22⋊Dic13—22no—
524C22⋊Dic13—22no—
525C22⋊Dic13—22no—
526C22⋊Dic13—22no—
527C22⋊Dic13—22no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13—41no—
532C22⋊Dic13—41no—
533C22⋊Dic13—41no—
534C22⋊Dic13—41no—
535C22⋊Dic13C2×D414yes—
536#6103—22no—
537#6103—22no—
538#6103—22no—
539#6103—22no—
540#6103—22no—
541#6103—22no—
542#6103—22no—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—22no—
547#6103—22no—
548#6103—41no—
549#6103—41no—
550#6103C2×D414yes—
551#6103C2×D414yes—
552C4⋊Dic13—22no—
553C4⋊Dic13—22no—
554C4⋊Dic13—22no—
555C4⋊Dic13—22no—
556C4⋊Dic13—22no—
557C4⋊Dic13—41no—
558C4⋊Dic13—41no—
559C4⋊Dic13—41no—
560C4⋊Dic13—41no—
561#6101—22no—
562#6101—22no—
563#6101—22no—
564#6101—22no—
565#6101—22no—
566#6101—22no—
567#6101—22no—
568#6101—22no—
569#6101—22no—
570#6101—22no—
571#6101—22no—
572#6101—22no—
573#6101—22no—
574#6101—41no—
575#6101—41no—
576#6101—41no—
577#6101—41no—
578#6101—41no—
579#6101—41no—
580#6101—41no—
581C4×Dic13—22no—
582C4×Dic13—22no—
583C4×Dic13—22no—
584C4×Dic13—22no—
585C4×Dic13—41no—
586C2×#543—131no—
587C2×#538—131no—
588#2857—131no—
589#2850—131no—
590#2700—131no—
591#2700—131no—
592#2698—131no—
593#2698—131no—
594#2689—131no—
595#2689—131no—
596#2687—131no—
597#2687—131no—
598#2681—131no—
599#2681D1311yescharacteristic, complemented
600#2680—131no—
601#2680—131no—
602#2674—131no—
603#2674—131no—
604#2672—131no—
605#2672—131no—
606#2659—131no—
607#2639—131no—
608#2564—131no—
609#2564—131no—
610#2417—131no—
611#2417—131no—
612#2412—131no—
613#2412—131no—
614#2412—131no—
615#2412—131no—
616C2×#388—131no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13C22×D412yes—
638C23×C13C2511yescharacteristic
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—21no—
642C22×D13—21no—
643C22×D13—21no—
644C22×D13—21no—
645C22×D13—21no—
646C22×D13—21no—
647C22×D13—21no—
648C22×D13—21no—
649C22×D13—28no—
650C22×D13—44no—
651C22×D13—44no—
652C22×D13—82no—
653C22×D13—82no—
654C22×D13—82no—
655C22×D13—82no—
656C22×D13C22×D412yes—
657C22×D13C22×D412yes—
658C22×D132−1+412yes—
659C22×D132−1+412yes—
660Q8×C13—82no—
661D4×C13—82no—
662D4×C13—82no—
663D4×C13—82no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
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—82no—
698C2×C4×C13—82no—
699C2×C4×C13C22×D412yes—
700C2×C4×C13C22×D412yes—
701C2×C4×C13H(5,𝔽2)12yes—
702C22⋊D13—44no—
703C22⋊D13—44no—
704C22⋊D13—82no—
705C22⋊D13—82no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
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—82no—
746C2×Dic13—82no—
747C2×Dic13C22×D412yes—
748C2×Dic13C22×D412yes—
749C2×Dic13H(5,𝔽2)12yes—
750C4×D13—44no—
751C4×D13—44no—
752C4×D13—44no—
753C4×D13—44no—
754C4×D13—82no—
755C4×D13—82no—
756C4×D13—82no—
757C4×D13—82no—
758Dic26—82no—
759Dic26—82no—
760Dic26—82no—
761Dic26—82no—
762#543—268no—
763#538—268no—
764C2×C4⋊Q8—131no—
765C2×#126—131no—
766C2×#126—131no—
767C2×#124—131no—
768C2×#124—131no—
769C2×#124—131no—
770C2×#123—131no—
771C2×#123—131no—
772C2×#123—131no—
773C2×#123—131no—
774C2×#123—131no—
775C2×#123C2×D1311yescharacteristic
776C2×C22⋊Q8—131no—
777C2×C22⋊Q8—131no—
778C2×C22⋊Q8—131no—
779C2×C22⋊Q8—131no—
780C2×C22⋊Q8—131no—
781C2×C22⋊Q8—131no—
782C2×C22⋊Q8—131no—
783C2×C22⋊Q8—131no—
784C2×C22⋊Q8—131no—
785C2×C22⋊Q8—131no—
786C2×C22⋊Q8—131no—
787C2×C22⋊Q8—131no—
788C2×C22⋊Q8—131no—
789C2×C22⋊Q8C2×D1311yescharacteristic
790C2×C22⋊Q8C2×D1311yescharacteristic, complemented
791C2×#121—131no—
792C2×#121—131no—
793C2×#121C2×D1311yescharacteristic
794C2×#120—131no—
795C2×#120—131no—
796C2×C4×D4—131no—
797C2×C4×D4—131no—
798C22×C4⋊C4—131no—
799C22×C22⋊C4—131no—
800C22×C22⋊C4—131no—
801C22×C22⋊C4—131no—
802C22×C22⋊C4—131no—
803C22×C22⋊C4—131no—
804C22×C42—131no—
805#400—131no—
806#400—131no—
807#400—131no—
808#400—131no—
809#399—131no—
810#399—131no—
811#398—131no—
812#398—131no—
813#398—131no—
814#398—131no—
815#398—131no—
816#398—131no—
817#398—131no—
818#398C2×D1311yescharacteristic, complemented
819#397—131no—
820#397—131no—
821#397—131no—
822#397—131no—
823#397—131no—
824#397—131no—
825#397—131no—
826#397—131no—
827#397—131no—
828#397—131no—
829#396—131no—
830#396—131no—
831#396—131no—
832#396C2×D1311yescharacteristic, complemented
833#395—131no—
834#395—131no—
835#395—131no—
836#395—131no—
837#395—131no—
838#395—131no—
839#394—131no—
840#394—131no—
841#394—131no—
842#394—131no—
843#394—131no—
844#394—131no—
845#394—131no—
846#394C2×D1311yescharacteristic
847#394C2×D1311yescharacteristic
848#394C2×D1311yescharacteristic, complemented
849#393—131no—
850#393—131no—
851#393—131no—
852#393C2×D1311yescharacteristic, complemented
853#391—131no—
854#391—131no—
855#391—131no—
856#391—131no—
857#391—131no—
858#390C2×D1311yescharacteristic, complemented
859#389—131no—
860#389—131no—
861#389—131no—
862#389—131no—
863#389—131no—
864#389C2×D1311yescharacteristic, complemented
865#388—131no—
866#388—131no—
867#388—131no—
868#388—131no—
869#388—131no—
870#388—131no—
871#388—131no—
872#388—131no—
873#388—131no—
874#388—131no—
875#388—131no—
876#388C2×D1311yescharacteristic
877#387—131no—
878#387—131no—
879#387—131no—
880#387—131no—
881#386—131no—
882#386—131no—
883#386—131no—
884#386—131no—
885#386—131no—
886#386—131no—
887#386—131no—
888#386—131no—
889#386—131no—
890#386—131no—
891#386—131no—
892#386C2×D1311yescharacteristic
893#385—131no—
894#385—131no—
895#385—131no—
896#385—131no—
897#385—131no—
898#385—131no—
899#385—131no—
900#385C2×D1311yescharacteristic, complemented
901#384—131no—
902#382—131no—
903#381—131no—
904#381—131no—
905#381—131no—
906#381—131no—
907#380—131no—
908#380—131no—
909#380—131no—
910#380—131no—
911#380—131no—
912#380—131no—
913#380—131no—
914#380—131no—
915#380—131no—
916#380—131no—
917C2×#95—131no—
918C2×#95—131no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13C23×D411yescharacteristic
941C22×C13C2×H(5,𝔽2)11yescharacteristic
942C22×C13C2×H(5,𝔽2)11yescharacteristic
943C22×C13C2×2−1+411yescharacteristic
944C22×C13C2×2−1+411yescharacteristic
945C22×C13#58511yescharacteristic
946C22×C13#58511yescharacteristic
947C2×D13—22no—
948C2×D13—22no—
949C2×D13—22no—
950C2×D13—22no—
951C2×D13—22no—
952C2×D13—22no—
953C2×D13—22no—
954C2×D13—22no—
955C2×D13—22no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13—41no—
959C2×D13—41no—
960C2×D13—88no—
961C2×D13#53614yes—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—41no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988C25—131no—
989C22×Q8—131no—
990C22×Q8—131no—
991C22×Q8—131no—
992C22×Q8—131no—
993C22×Q8C22×D1311yescharacteristic
994C22×D4—131no—
995C22×D4—131no—
996C22×D4—131no—
997C22×D4—131no—
998C22×D4C22×D1311yescharacteristic
999C22×D4C22×D1311yescharacteristic
1000C22×D4C22×D1311yescharacteristic
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013C4⋊Q8—522no—
1014#126—264no—
1015#126—264no—
1016#124—264no—
1017#124—264no—
1018#124—522no—
1019#123—42no—
1020#123—264no—
1021#123—264no—
1022#123—522no—
1023#123—522no—
1024#123—522no—
1025C22⋊Q8—24no—
1026C22⋊Q8—42no—
1027C22⋊Q8—264no—
1028C22⋊Q8—264no—
1029C22⋊Q8—264no—
1030C22⋊Q8—264no—
1031C22⋊Q8—264no—
1032C22⋊Q8—264no—
1033C22⋊Q8—264no—
1034C22⋊Q8—264no—
1035C22⋊Q8—264no—
1036C22⋊Q8—264no—
1037C22⋊Q8—264no—
1038C22⋊Q8—264no—
1039C22⋊Q8—522no—
1040#121—24no—
1041#121—264no—
1042#121—264no—
1043#120—264no—
1044#120—264no—
1045C4×D4—264no—
1046C4×D4—264no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—131no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—522no—
1077C2×C4⋊C4C22×D1311yescharacteristic
1078C2×C4⋊C4C22×D1311yescharacteristic
1079C2×C4⋊C4C22×D1311yescharacteristic
1080C2×C4⋊C4C22×D1311yescharacteristic
1081C2×C4⋊C4C22×D1311yescharacteristic
1082C2×C4⋊C4C22×D1311yescharacteristic
1083C2×C4⋊C4C22×D1311yescharacteristic
1084C2×C4⋊C4C22×D1311yescharacteristic
1085C2×C4⋊C4C22×D1311yescharacteristic
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—138no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—131no—
1099C2×C22⋊C4—131no—
1100C2×C22⋊C4—131no—
1101C2×C22⋊C4—131no—
1102C2×C22⋊C4—131no—
1103C2×C22⋊C4—131no—
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
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—264no—
1121C2×C22⋊C4—264no—
1122C2×C22⋊C4—522no—
1123C2×C22⋊C4—522no—
1124C2×C22⋊C4C22×D1311yescharacteristic
1125C2×C22⋊C4C22×D1311yescharacteristic
1126C2×C22⋊C4C22×D1311yescharacteristic
1127C2×C22⋊C4C22×D1311yescharacteristic
1128C2×C22⋊C4C22×D1311yescharacteristic
1129C2×C22⋊C4C22×D1311yescharacteristic
1130C2×C22⋊C4C22×D1311yescharacteristic
1131C2×C22⋊C4C22×D1311yescharacteristic
1132C2×C22⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4C22×D1311yescharacteristic
1134C2×C22⋊C4C22×D1311yescharacteristic
1135C2×C22⋊C4C22×D1311yescharacteristic
1136C2×C22⋊C4C22×D1311yescharacteristic
1137C2×C42—131no—
1138C2×C42—131no—
1139C2×C42—131no—
1140C2×C42—131no—
1141C2×C42—131no—
1142C2×C42—522no—
1143C2×C42C22×D1311yescharacteristic
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95—131no—
1166#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
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#95C22×D1311yescharacteristic
1179#95C22×D1311yescharacteristic
1180#95C22×D1311yescharacteristic
1181#95C22×D1311yescharacteristic
1182#95C22×D1311yescharacteristic
1183#95C22×D1311yescharacteristic
1184C2×C13—42no—
1185C2×C13—81no—
1186C2×C13—81no—
1187C2×C13C2×#53611yescharacteristic
1188C2×C13#349611yescharacteristic
1189C2×C13#349611yescharacteristic
1190C2×C13#353511yescharacteristic
1191C2×C13#353611yescharacteristic
1192C2×C13#356111yescharacteristic
1193C2×C13#356411yescharacteristic
1194D13—24no—
1195D13—42no—
1196C24—131no—
1197C24—131no—
1198C24—134no—
1199C24—262no—
1200C24—262no—
1201C24—521no—
1202C24—521no—
1203C24—521no—
1204C24—521no—
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C24C23×D1311yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×Q8—262no—
1212C2×Q8—262no—
1213C2×Q8—262no—
1214C2×Q8—262no—
1215C2×Q8—521no—
1216C2×Q8—521no—
1217C2×Q8—521no—
1218C2×Q8—521no—
1219C2×Q8—521no—
1220C2×Q8—521no—
1221C2×Q8—521no—
1222C2×Q8—521no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—262no—
1233C2×D4—262no—
1234C2×D4—262no—
1235C2×D4—262no—
1236C2×D4—262no—
1237C2×D4—262no—
1238C2×D4—262no—
1239C2×D4—262no—
1240C2×D4—521no—
1241C2×D4—521no—
1242C2×D4—521no—
1243C2×D4—521no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—131no—
1253C22×C4—134no—
1254C22×C4—134no—
1255C22×C4—131no—
1256C22×C4—131no—
1257C22×C4—131no—
1258C22×C4—131no—
1259C22×C4—131no—
1260C22×C4—131no—
1261C22×C4—131no—
1262C22×C4—131no—
1263C22×C4—131no—
1264C22×C4—131no—
1265C22×C4—131no—
1266C22×C4—262no—
1267C22×C4—262no—
1268C22×C4—262no—
1269C22×C4—262no—
1270C22×C4—262no—
1271C22×C4—262no—
1272C22×C4—262no—
1273C22×C4—262no—
1274C22×C4—262no—
1275C22×C4—262no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4—521no—
1279C22×C4—521no—
1280C22×C4—521no—
1281C22×C4—521no—
1282C22×C4—521no—
1283C22×C4—521no—
1284C22×C4—521no—
1285C22×C4—521no—
1286C22×C4—521no—
1287C22×C4—521no—
1288C22×C4—521no—
1289C22×C4—521no—
1290C22×C4—521no—
1291C22×C4—521no—
1292C22×C4—521no—
1293C22×C4—521no—
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C22×C4C23×D1311yescharacteristic
1301C22×C4C23×D1311yescharacteristic
1302C22×C4C23×D1311yescharacteristic
1303C22×C4C23×D1311yescharacteristic
1304C22×C4C23×D1311yescharacteristic
1305C22×C4C23×D1311yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—262no—
1316C4⋊C4—262no—
1317C4⋊C4—262no—
1318C4⋊C4—262no—
1319C4⋊C4—262no—
1320C4⋊C4—262no—
1321C4⋊C4—262no—
1322C4⋊C4—262no—
1323C4⋊C4—262no—
1324C4⋊C4—262no—
1325C4⋊C4—262no—
1326C4⋊C4—262no—
1327C4⋊C4—262no—
1328C4⋊C4—262no—
1329C4⋊C4—262no—
1330C4⋊C4—262no—
1331C4⋊C4—262no—
1332C4⋊C4—262no—
1333C4⋊C4—521no—
1334C4⋊C4—521no—
1335C4⋊C4—521no—
1336C4⋊C4—521no—
1337C4⋊C4—521no—
1338C4⋊C4—521no—
1339C4⋊C4—521no—
1340C4⋊C4—521no—
1341C4⋊C4—521no—
1342C4⋊C4—521no—
1343C4⋊C4—521no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—134no—
1357C22⋊C4—134no—
1358C22⋊C4—134no—
1359C22⋊C4—262no—
1360C22⋊C4—262no—
1361C22⋊C4—262no—
1362C22⋊C4—262no—
1363C22⋊C4—262no—
1364C22⋊C4—262no—
1365C22⋊C4—262no—
1366C22⋊C4—262no—
1367C22⋊C4—262no—
1368C22⋊C4—262no—
1369C22⋊C4—262no—
1370C22⋊C4—262no—
1371C22⋊C4—262no—
1372C22⋊C4—262no—
1373C22⋊C4—262no—
1374C22⋊C4—262no—
1375C22⋊C4—262no—
1376C22⋊C4—262no—
1377C22⋊C4—262no—
1378C22⋊C4—262no—
1379C22⋊C4—262no—
1380C22⋊C4—521no—
1381C22⋊C4—521no—
1382C22⋊C4—521no—
1383C22⋊C4—521no—
1384C22⋊C4—521no—
1385C22⋊C4—521no—
1386C22⋊C4—521no—
1387C22⋊C4—521no—
1388C22⋊C4—521no—
1389C22⋊C4D4×D1314yes—
1390C42—41no—
1391C42—262no—
1392C42—262no—
1393C42—262no—
1394C42—262no—
1395C42—521no—
1396C13#3674011yescharacteristic, complemented, Sylow
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—132no—
1418C23—132no—
1419C23—132no—
1420C23—132no—
1421C23—268no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—261no—
1431C23—261no—
1432C23—524no—
1433C23—524no—
1434C23—1042no—
1435C23—1042no—
1436C23—1042no—
1437C23—1042no—
1438C23C2×D4×D1312yes—
1439C23C24×D1311yescharacteristic
1440Q8—82no—
1441Q8—1042no—
1442Q8—1042no—
1443Q8—1042no—
1444Q8—1042no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—524no—
1449D4—524no—
1450D4—1042no—
1451D4—1042no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—82no—
1486C2×C4—82no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—261no—
1512C2×C4—261no—
1513C2×C4—261no—
1514C2×C4—261no—
1515C2×C4—261no—
1516C2×C4—261no—
1517C2×C4—261no—
1518C2×C4—261no—
1519C2×C4—261no—
1520C2×C4—261no—
1521C2×C4—261no—
1522C2×C4—261no—
1523C2×C4—261no—
1524C2×C4—261no—
1525C2×C4—261no—
1526C2×C4—261no—
1527C2×C4—261no—
1528C2×C4—261no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—1042no—
1534C2×C4—1042no—
1535C2×C4—1042no—
1536C2×C4—1042no—
1537C2×C4—1042no—
1538C2×C4—1042no—
1539C2×C4C2×D4×D1312yes—
1540C2×C4C2×D4×D1312yes—
1541C2×C4#8825112yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—134no—
1564C22—262no—
1565C22—262no—
1566C22—262no—
1567C22—262no—
1568C22—262no—
1569C22—262no—
1570C22—262no—
1571C22—262no—
1572C22—262no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22—521no—
1577C22—1048no—
1578C22C22×D4×D1311yescharacteristic
1579C22C2×#8825111yescharacteristic
1580C22#1171964811yescharacteristic
1581C22D13×H(5,𝔽2)11yescharacteristic
1582C22#1171965011yescharacteristic
1583C22D13×2−1+411yescharacteristic
1584C22D13×2−1+411yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—262no—
1598C4—262no—
1599C4—262no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4—521no—
1609C4—521no—
1610C4—521no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2—264no—
1615C2—522no—
1616C2D13×#53611yescharacteristic
1617C2#1312859211yescharacteristic
1618C2#1312859611yescharacteristic
1619C2#1312903611yescharacteristic
1620C2#1312905311yescharacteristic
1621C2#1312939911yescharacteristic
1622C2#1312945311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2681C2
prime radicalC2×#11719318C2
hypercenter#2681D13
hypocenterC13#36740
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#11719339C2semidirect
3. #13123187C2semidirect
4. #13123136C2semidirect
5. #13121441C2semidirect
6. #13121438C2semidirect
7. #13121406C2semidirect
8. #13121403C2semidirect
9. #13121285C2semidirect
10. #13121284C2semidirect
11. #13121263C2semidirect
12. #13121260C2semidirect
13. #13121185C2semidirect
14. #13121175C2semidirect
15. #13121173C2semidirect
16. #13121124C2semidirect
17. #13121119C2semidirect
18. #13121081C2semidirect
19. #13121080C2semidirect
20. #13120951C2semidirect
21. #13120767C2semidirect
22. #13120021C2semidirect
23. #13120013C2semidirect
24. #13118283C2semidirect
25. #13118280C2semidirect
26. #13118235C2semidirect
27. #13118228C2semidirect
28. #13118227C2semidirect
29. #13118227C2semidirect
30. D13×#388C2semidirect
31. C13×#2681C2semidirect
34. C2×C13×C22⋊Q8C22semidirect
43. C2×#88190C22semidirect
61. C2×#88142C22semidirect
73. C2×#88132C22semidirect
75. C13×#398C22semidirect
76. C13×#396C22semidirect
79. C13×#394C22semidirect
80. C13×#393C22semidirect
81. C13×#390C22semidirect
82. C13×#389C22semidirect
85. C13×#385C22semidirect
86. #11718891C22semidirect
87. #11718890C22semidirect
90. #11718883C22semidirect
92. #11718873C22semidirect
95. #11718871C22semidirect
105. #11718647C22semidirect
106. #11718646C22semidirect
107. #11718645C22semidirect
108. #11718645C22semidirect
109. #11718645C22semidirect
110. #11718644C22semidirect
111. #11718641C22semidirect
112. #11718641C22semidirect
113. #11718641C22semidirect
114. #11718640C22semidirect
115. #11718640C22semidirect
116. #11718639C22semidirect
117. #11718638C22semidirect
118. #11718637C22semidirect
119. #11718633C22semidirect
120. #11718633C22semidirect
121. #11718633C22semidirect
140. #11718613C22semidirect
141. #11718613C22semidirect
143. #11718612C22semidirect
144. #11718612C22semidirect
145. #11718612C22semidirect
146. #11718612C22semidirect
148. #11718610C22semidirect
149. #11718610C22semidirect
150. #11718609C22semidirect
151. #11718609C22semidirect
152. #11718609C22semidirect
153. #11718608C22semidirect
154. #11718608C22semidirect
155. #11718608C22semidirect
156. #11718607C22semidirect
157. #11718607C22semidirect
161. #11718603C22semidirect
163. #11718590C22semidirect
164. #11718589C22semidirect
177. #11718320C22semidirect
178. #11718320C22semidirect
179. #11718319C22semidirect
180. #11718317C22semidirect
181. #11718317C22semidirect
182. #11718317C22semidirect
183. #11718314C22semidirect
184. #11718313C22semidirect
185. #11718313C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
599. #2681D13semidirect
790. C2×C22⋊Q8C2×D13semidirect
818. #398C2×D13semidirect
832. #396C2×D13semidirect
848. #394C2×D13semidirect
852. #393C2×D13semidirect
858. #390C2×D13semidirect
864. #389C2×D13semidirect
900. #385C2×D13semidirect
1396. C13#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#117193392
C2×#117193182
#131231872
#131231362
#131214412
#131214382
#131214062
#131214032
#131212852
#131212842
#131212632
#131212602
#131211852
#131211752
#131211732
#131211242
#131211192
#131210812
#131210802
#131209512
#131207672
#131200212
#131200132
#131182832
#131182802
#131182352
#131182282
#131182272
D13×#3882
C13×#26812
#3674013