Finite Group Databasebeta

← #16071269

Subgroups — #16071269

Order 3328.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123131C211yesmaximal, characteristic, complemented
2#13123115C211yesmaximal, characteristic, complemented
3#13122454C211yesmaximal, characteristic, complemented
4#13122447C211yesmaximal, characteristic, complemented
5#13122211C211yesmaximal, characteristic, complemented
6#13122077C211yesmaximal, characteristic, complemented
7#13122062C211yesmaximal, characteristic, complemented
8#13122052C211yesmaximal, characteristic, complemented
9#13121978C211yesmaximal, characteristic, complemented
10#13121476C211yesmaximal, characteristic, complemented
11#13121394C211yesmaximal, characteristic, complemented
12#13121380C211yesmaximal, characteristic, complemented
13#13121271C211yesmaximal, characteristic, complemented
14#13121266C211yesmaximal, characteristic, complemented
15#13121212C211yesmaximal, characteristic, complemented
16#13121168C211yesmaximal, characteristic, complemented
17#13121039C211yesmaximal, characteristic, complemented
18#13120793C211yesmaximal, characteristic, complemented
19#13120765C211yesmaximal, characteristic, complemented
20#13119393C211yesmaximal, characteristic, complemented
21#13118958C211yesmaximal, characteristic, complemented
22#13118579C211yesmaximal, characteristic, complemented
23#13118499C211yesmaximal, characteristic, complemented
24#13118373C211yesmaximal, characteristic, complemented
25#13118207C211yesmaximal, characteristic, complemented
26#13118203C211yesmaximal, characteristic, complemented
27#13118145C211yesmaximal, characteristic, complemented
28#13117495C211yesmaximal, characteristic, complemented
29#13117410C211yesmaximal, characteristic, complemented
30D13×#386C211yesmaximal, characteristic, complemented
31C13×#2676C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C22×D4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic, complemented
35C2×C13×#124C2211yescharacteristic, complemented
36C2×C13×C22⋊Q8C2211yescharacteristic, complemented
37C2×C13×#121C2211yescharacteristic, complemented
38C2×C13×#121C2211yescharacteristic, complemented
39C2×#88200C2211yescharacteristic, complemented
40C2×#88193C2211yescharacteristic, complemented
41C2×#88193C2211yescharacteristic, complemented
42C2×#88192C2211yescharacteristic
43C2×#88192C2211yescharacteristic, complemented
44C2×#88191C2211yescharacteristic
45C2×#88191C2211yescharacteristic
46C2×#88191C2211yescharacteristic
47C2×#88191C2211yescharacteristic, complemented
48C2×#88191C2211yescharacteristic, complemented
49C22×#6103C2211yescharacteristic
50C2×#88148C2211yescharacteristic, complemented
51C2×#88148C2211yescharacteristic, complemented
52C2×#88138C2211yescharacteristic
53C2×#88136C2211yescharacteristic
54C2×#88136C2211yescharacteristic
55C2×#88135C2211yescharacteristic, complemented
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic, complemented
59C13×#396C2211yescharacteristic, complemented
60C13×#394C2211yescharacteristic, complemented
61C13×#394C2211yescharacteristic, complemented
62C13×#393C2211yescharacteristic, complemented
63C13×#392C2211yescharacteristic
64C13×#392C2211yescharacteristic, complemented
65C13×#390C2211yescharacteristic, complemented
66C13×#387C2211yescharacteristic, complemented
67C13×#386C2211yescharacteristic, complemented
68C13×#386C2211yescharacteristic, complemented
69C13×#385C2211yescharacteristic, complemented
70#11718892C2211yescharacteristic, complemented
71#11718892C2211yescharacteristic, complemented
72#11718892C2211yescharacteristic, complemented
73#11718884C2211yescharacteristic
74#11718884C2211yescharacteristic
75#11718884C2211yescharacteristic
76#11718884C2211yescharacteristic, complemented
77#11718883C2211yescharacteristic, complemented
78#11718883C2211yescharacteristic, complemented
79#11718881C2211yescharacteristic, complemented
80#11718881C2211yescharacteristic, complemented
81#11718881C2211yescharacteristic, complemented
82#11718881C2211yescharacteristic, complemented
83#11718881C2211yescharacteristic, complemented
84#11718881C2211yescharacteristic, complemented
85#11718881C2211yescharacteristic, complemented
86#11718874C2211yescharacteristic
87#11718874C2211yescharacteristic, complemented
88#11718874C2211yescharacteristic, complemented
89#11718874C2211yescharacteristic, complemented
90#11718873C2211yescharacteristic, complemented
91#11718871C2211yescharacteristic, complemented
92#11718655C2211yescharacteristic, complemented
93#11718655C2211yescharacteristic, complemented
94#11718654C2211yescharacteristic, complemented
95#11718654C2211yescharacteristic, complemented
96#11718653C2211yescharacteristic, complemented
97#11718652C2211yescharacteristic
98#11718651C2211yescharacteristic, complemented
99#11718650C2211yescharacteristic, complemented
100#11718650C2211yescharacteristic, complemented
101#11718650C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718649C2211yescharacteristic, complemented
104#11718648C2211yescharacteristic, complemented
105#11718648C2211yescharacteristic, complemented
106#11718643C2211yescharacteristic, complemented
107#11718643C2211yescharacteristic, complemented
108#11718643C2211yescharacteristic, complemented
109#11718642C2211yescharacteristic, complemented
110#11718622C2211yescharacteristic, complemented
111#11718622C2211yescharacteristic, complemented
112#11718621C2211yescharacteristic
113#11718621C2211yescharacteristic
114#11718621C2211yescharacteristic, complemented
115#11718620C2211yescharacteristic
116#11718620C2211yescharacteristic, complemented
117#11718620C2211yescharacteristic, complemented
118#11718620C2211yescharacteristic, complemented
119#11718619C2211yescharacteristic
120#11718619C2211yescharacteristic, complemented
121#11718619C2211yescharacteristic, complemented
122#11718619C2211yescharacteristic, complemented
123#11718619C2211yescharacteristic, complemented
124#11718618C2211yescharacteristic, complemented
125#11718618C2211yescharacteristic, complemented
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic
128#11718617C2211yescharacteristic
129#11718617C2211yescharacteristic
130#11718617C2211yescharacteristic
131#11718617C2211yescharacteristic, complemented
132#11718617C2211yescharacteristic, complemented
133#11718617C2211yescharacteristic, complemented
134#11718617C2211yescharacteristic, complemented
135#11718617C2211yescharacteristic, complemented
136#11718617C2211yescharacteristic, complemented
137#11718617C2211yescharacteristic, complemented
138#11718616C2211yescharacteristic
139#11718616C2211yescharacteristic, complemented
140#11718616C2211yescharacteristic, complemented
141#11718616C2211yescharacteristic, complemented
142#11718616C2211yescharacteristic, complemented
143#11718614C2211yescharacteristic, complemented
144#11718613C2211yescharacteristic, complemented
145#11718613C2211yescharacteristic, complemented
146#11718613C2211yescharacteristic, complemented
147#11718613C2211yescharacteristic, complemented
148#11718613C2211yescharacteristic, complemented
149#11718613C2211yescharacteristic, complemented
150#11718612C2211yescharacteristic, complemented
151#11718611C2211yescharacteristic, complemented
152#11718607C2211yescharacteristic, complemented
153#11718606C2211yescharacteristic, complemented
154#11718606C2211yescharacteristic, complemented
155#11718606C2211yescharacteristic, complemented
156#11718605C2211yescharacteristic, complemented
157#11718604C2211yescharacteristic, complemented
158#11718603C2211yescharacteristic, complemented
159#11718601C2211yescharacteristic, complemented
160#11718601C2211yescharacteristic, complemented
161#11718601C2211yescharacteristic, complemented
162C4×#6103C2211yescharacteristic, complemented
163#11718337C2211yescharacteristic, complemented
164#11718335C2211yescharacteristic, complemented
165#11718331C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173#11718326C2211yescharacteristic
174#11718325C2211yescharacteristic, complemented
175#11718325C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177#11718325C2211yescharacteristic, complemented
178D13×#95C2211yescharacteristic, complemented
179D13×#95C2211yescharacteristic, complemented
180C13⋊#401C2211yescharacteristic, complemented
181C13⋊#401C2211yescharacteristic, complemented
182#11718321C2211yescharacteristic, complemented
183#11718321C2211yescharacteristic, complemented
184#11718319C2211yescharacteristic, complemented
185#11718319C2211yescharacteristic, complemented
186#11718312C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C24×D13C2311yescharacteristic
189C24×D13C2311yescharacteristic
190C22×Q8×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C2×D4×D13—24no—
213C2×D4×D13—24no—
214C2×D4×D13—42no—
215C2×D4×D13—42no—
216C2×D4×D13—42no—
217C2×D4×D13—42no—
218C22×D52C2311yescharacteristic
219C22×D52C2311yescharacteristic
220C22×D52C2311yescharacteristic
221C22×C4×D13—42no—
222C22×C4×D13—42no—
223C22×C4×D13—42no—
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×C4×D13C2311yescharacteristic
232C13×#124—42no—
233C13×C22⋊Q8—42no—
234C13×#121—42no—
235C13×#121—42no—
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C42×C13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272#88200—42no—
273#88193—42no—
274#88193—42no—
275#88192—42no—
276#88192—42no—
277#88191—24no—
278#88191—42no—
279#88191—42no—
280#88191—42no—
281#88191—42no—
282C2×#6103—42no—
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2311yescharacteristic
309C2×#6103C2311yescharacteristic
310C2×#6103C2311yescharacteristic
311C2×#6103C2311yescharacteristic
312C2×#6103C2311yescharacteristic
313C2×C4⋊Dic13C2311yescharacteristic
314C2×C4⋊Dic13C2311yescharacteristic
315C2×C4⋊Dic13C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326#88148—42no—
327#88148—42no—
328#88138—42no—
329#88136—42no—
330#88136—42no—
331#88135—42no—
332C22⋊C4×D13—42no—
333C22⋊C4×D13—42no—
334C22⋊C4×D13—42no—
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#36776—131nomaximal, Sylow
376C24×C13C2411yescharacteristic
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—22no—
383C23×D13—22no—
384C23×D13—22no—
385C23×D13—22no—
386C23×D13—22no—
387C23×D13—22no—
388C23×D13—41no—
389C23×D13—41no—
390C23×D13—41no—
391C23×D13—41no—
392C23×D13—41no—
393C23×D13—41no—
394C23×D13—41no—
395C23×D13—41no—
396C23×D13—41no—
397C23×D13—41no—
398C23×D13—41no—
399C23×D13—41no—
400C23×D13#4114yes—
401C23×D13C2411yescharacteristic
402C23×D13C2411yescharacteristic
403C23×D13C2411yescharacteristic
404C23×D13C2411yescharacteristic
405C2×Q8×C13—41no—
406C2×Q8×C13—41no—
407C2×Q8×C13—41no—
408C2×D4×C13—22no—
409C2×D4×C13—22no—
410C2×D4×C13—22no—
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C2×D4×C13—41no—
416C2×D4×C13—41no—
417C2×D4×C13—41no—
418C2×D4×C13—41no—
419C2×D4×C13—41no—
420C2×D4×C13—41no—
421C2×D4×C13—41no—
422C2×D4×C13—41no—
423C2×D4×C13—41no—
424C2×D4×C13—41no—
425C2×D4×C13—41no—
426C22×C4×C13—22no—
427C22×C4×C13—41no—
428C22×C4×C13—41no—
429C22×C4×C13—41no—
430C22×C4×C13—41no—
431C22×C4×C13—41no—
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
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—41no—
459C2×C22⋊D13—41no—
460C2×C22⋊D13—41no—
461C2×C22⋊D13—41no—
462C2×C22⋊D13—41no—
463C2×C22⋊D13—41no—
464C2×C22⋊D13—41no—
465C2×C22⋊D13—41no—
466C2×C22⋊D13—41no—
467C2×C22⋊D13—41no—
468C2×C22⋊D13—41no—
469C2×C22⋊D13—41no—
470C2×C22⋊D13—41no—
471C2×C22⋊D13—41no—
472C2×C22⋊D13—41no—
473C22×Dic13—41no—
474C22×Dic13—41no—
475C22×Dic13—41no—
476C22×Dic13—41no—
477C22×Dic13—41no—
478C22×Dic13—41no—
479C22×Dic13—41no—
480C22×Dic13—41no—
481C22×Dic13—41no—
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491C22×Dic13C2411yescharacteristic
492C22×Dic13C2411yescharacteristic
493C22×Dic13C2411yescharacteristic
494D4×D13—416no—
495D4×D13—416no—
496C2×D52—22no—
497C2×D52—22no—
498C2×D52—22no—
499C2×D52—22no—
500C2×D52—22no—
501C2×D52—22no—
502C2×D52—41no—
503C2×D52—41no—
504C2×D52—41no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—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—
524C2×C4×D13—41no—
525C2×C4×D13—416no—
526C2×C4×D13—41no—
527C2×C4×D13—41no—
528C2×C4×D13—41no—
529C2×C4×D13—41no—
530C13×C4⋊C4—22no—
531C13×C4⋊C4—22no—
532C13×C4⋊C4—41no—
533C13×C4⋊C4—41no—
534C13×C4⋊C4—41no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—41no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C13×C22⋊C4—41no—
544C13×C22⋊C4—41no—
545C13×C22⋊C4—41no—
546C13×C22⋊C4—41no—
547C13×C22⋊C4—41no—
548C13×C22⋊C4—41no—
549C42×C13—41no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—41no—
553C22⋊Dic13—41no—
554C22⋊Dic13—41no—
555C22⋊Dic13—41no—
556C22⋊Dic13—41no—
557C22⋊Dic13—41no—
558C22⋊Dic13—41no—
559C22⋊Dic13—41no—
560C22⋊Dic13—41no—
561C22⋊Dic13—41no—
562C22⋊Dic13—41no—
563C22⋊Dic13—41no—
564C22⋊Dic13—41no—
565C22⋊Dic13—41no—
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—
577#6103—41no—
578#6103—41no—
579#6103—41no—
580#6103—41no—
581#6103—41no—
582#6103—41no—
583#6103—41no—
584#6103—41no—
585#6103—41no—
586#6103—41no—
587#6103—41no—
588#6103—41no—
589#6103—41no—
590#6103—41no—
591#6103—41no—
592#6103—41no—
593#6103—41no—
594#6103—41no—
595#6103—41no—
596C4⋊Dic13—41no—
597C4⋊Dic13—41no—
598C4⋊Dic13—41no—
599#6101—41no—
600#6101—41no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604#6101—41no—
605#6101—41no—
606#6101—41no—
607C4×Dic13—41no—
608C4×Dic13—41no—
609#2849—131no—
610#2847—131no—
611#2778—131no—
612#2778—131no—
613#2760—131no—
614#2750—131no—
615#2749—131no—
616#2749—131no—
617#2743—131no—
618#2703—131no—
619#2697—131no—
620#2696—131no—
621#2688—131no—
622#2688—131no—
623#2684—131no—
624#2678—131no—
625#2676D1311yescharacteristic, complemented
626#2668—131no—
627#2643—131no—
628#2639—131no—
629#2510—131no—
630#2472—131no—
631#2444—131no—
632#2437—131no—
633#2424—131no—
634#2410—131no—
635#2410—131no—
636#2403—131no—
637#2321—131no—
638#2308—131no—
639C2×#386—131no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
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×C13—21no—
662C23×C13—21no—
663C23×C13—21no—
664C23×C13—21no—
665C23×C13—21no—
666C23×C13C2×#4112yes—
667C23×C13H(5,𝔽2)12yes—
668C23×C13C2511yescharacteristic
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—28no—
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—21no—
685C22×D13—21no—
686C22×D13—28no—
687C22×D13—21no—
688C22×D13—21no—
689C22×D13—21no—
690C22×D13—21no—
691C22×D13—21no—
692C22×D13—21no—
693C22×D13—21no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13—44no—
697C22×D13—44no—
698C22×D13—44no—
699C22×D13—44no—
700C22×D13—44no—
701C22×D13—44no—
702C22×D13—44no—
703C22×D13—82no—
704C22×D13—82no—
705C22×D13—82no—
706C22×D13—82no—
707C22×D13—82no—
708C22×D13—82no—
709C22×D13—82no—
710C22×D13—82no—
711C22×D13—82no—
712C22×D13—82no—
713C22×D13C2×#4112yes—
714C22×D13C2×#4112yes—
715C22×D13H(5,𝔽2)12yes—
716C22×D13H(5,𝔽2)12yes—
717C22×D13H(5,𝔽2)12yes—
718Q8×C13—82no—
719D4×C13—44no—
720D4×C13—44no—
721D4×C13—82no—
722D4×C13—82no—
723D4×C13—82no—
724D4×C13—82no—
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—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—44no—
758C2×C4×C13—82no—
759C2×C4×C13H(5,𝔽2)12yes—
760C22⋊D13—44no—
761C22⋊D13—44no—
762C22⋊D13—44no—
763C22⋊D13—44no—
764C22⋊D13—44no—
765C22⋊D13—82no—
766C22⋊D13—82no—
767C22⋊D13—82no—
768C22⋊D13—82no—
769C22⋊D13—82no—
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—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—44no—
807C2×Dic13—82no—
808C2×Dic13—82no—
809D52—44no—
810D52—44no—
811D52—82no—
812C4×D13—44no—
813C4×D13—44no—
814C4×D13—44no—
815C4×D13—44no—
816C4×D13—44no—
817C4×D13—44no—
818C4×D13—82no—
819C4×D13—82no—
820C23×D4—131no—
821C23×D4—131no—
822C24×C4—131no—
823C2×#124C2×D1311yescharacteristic, complemented
824C2×#123—131no—
825C2×#123—131no—
826C2×C22⋊Q8—131no—
827C2×C22⋊Q8C2×D1311yescharacteristic, complemented
828C2×#121—131no—
829C2×#121—131no—
830C2×#121—131no—
831C2×#121—131no—
832C2×#121—131no—
833C2×#121C2×D1311yescharacteristic, complemented
834C2×#121C2×D1311yescharacteristic, complemented
835C2×#120—131no—
836C2×#120—131no—
837C2×#120—131no—
838C2×#120—131no—
839C2×#120—131no—
840C2×#120—131no—
841C2×#120—131no—
842C2×C4×D4—131no—
843C22×C22⋊C4—131no—
844C22×C22⋊C4—131no—
845C22×C22⋊C4—131no—
846C22×C22⋊C4—131no—
847#401—131no—
848#401—131no—
849#400—131no—
850#400—131no—
851#400—131no—
852#400—131no—
853#400—131no—
854#400—131no—
855#400—131no—
856#399—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#397—131no—
862#397—131no—
863#397—131no—
864#397—131no—
865#397—131no—
866#397—131no—
867#396—131no—
868#396—131no—
869#396—131no—
870#396C2×D1311yescharacteristic, complemented
871#394—131no—
872#394—131no—
873#394—131no—
874#394—131no—
875#394—131no—
876#394—131no—
877#394—131no—
878#394—131no—
879#394—131no—
880#394C2×D1311yescharacteristic, complemented
881#394C2×D1311yescharacteristic, complemented
882#393—131no—
883#393—131no—
884#393—131no—
885#393C2×D1311yescharacteristic, complemented
886#392—131no—
887#392—131no—
888#392—131no—
889#392—131no—
890#392—131no—
891#392—131no—
892#392—131no—
893#392C2×D1311yescharacteristic
894#392C2×D1311yescharacteristic, complemented
895#390—131no—
896#390—131no—
897#390—131no—
898#390C2×D1311yescharacteristic, complemented
899#388—131no—
900#388—131no—
901#388—131no—
902#388—131no—
903#388—131no—
904#388—131no—
905#388—131no—
906#388—131no—
907#388—131no—
908#388—131no—
909#387—131no—
910#387C2×D1311yescharacteristic, complemented
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#386—131no—
920#386—131no—
921#386—131no—
922#386—131no—
923#386—131no—
924#386—131no—
925#386—131no—
926#386—131no—
927#386—131no—
928#386—131no—
929#386—131no—
930#386—131no—
931#386—131no—
932#386—131no—
933#386—131no—
934#386—131no—
935#386—131no—
936#386—131no—
937#386—131no—
938#386—131no—
939#386—131no—
940#386—131no—
941#386—131no—
942#386—131no—
943#386—131no—
944#386—131no—
945#386—131no—
946#386C2×D1311yescharacteristic, complemented
947#386C2×D1311yescharacteristic, complemented
948#385—131no—
949#385—131no—
950#385—131no—
951#385—131no—
952#385—131no—
953#385—131no—
954#385—131no—
955#385—131no—
956#385C2×D1311yescharacteristic, complemented
957#383—131no—
958#381—131no—
959#381—131no—
960#381—131no—
961#381—131no—
962#381—131no—
963#380—131no—
964#380—131no—
965#380—131no—
966#380—131no—
967#379—131no—
968#379—131no—
969#379—131no—
970#379—131no—
971#379—131no—
972C4×C22⋊C4—131no—
973C2×#95—131no—
974C2×#95—131no—
975C22×C13—22no—
976C22×C13—22no—
977C22×C13—22no—
978C22×C13—22no—
979C22×C13—22no—
980C22×C13—22no—
981C22×C13—41no—
982C22×C13—41no—
983C22×C13—41no—
984C22×C13—41no—
985C22×C13—41no—
986C22×C13—41no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13—41no—
994C22×C13—41no—
995C22×C13—41no—
996C22×C13—41no—
997C22×C13—41no—
998C22×C13—41no—
999C22×C13—41no—
1000C22×C13—41no—
1001C22×C13—41no—
1002C22×C13—41no—
1003C22×C13C22×#4111yescharacteristic
1004C22×C13C2×H(5,𝔽2)11yescharacteristic
1005C22×C13C2×H(5,𝔽2)11yescharacteristic
1006C22×C13C2×H(5,𝔽2)11yescharacteristic
1007C22×C13C2×H(5,𝔽2)11yescharacteristic
1008C22×C13C2×H(5,𝔽2)11yescharacteristic
1009C22×C13#58511yescharacteristic
1010C2×D13—22no—
1011C2×D13—22no—
1012C2×D13—22no—
1013C2×D13—22no—
1014C2×D13—22no—
1015C2×D13—22no—
1016C2×D13—22no—
1017C2×D13—22no—
1018C2×D13—22no—
1019C2×D13—22no—
1020C2×D13—22no—
1021C2×D13—22no—
1022C2×D13—416no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—41no—
1038C2×D13—88no—
1039C2×D13—88no—
1040C2×D13#53814yes—
1041C4×C13—22no—
1042C4×C13—41no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13—41no—
1048C4×C13—41no—
1049C4×C13—41no—
1050C4×C13—41no—
1051C4×C13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063Dic13—41no—
1064C25—131no—
1065C25—131no—
1066C25—131no—
1067C22×Q8C22×D1311yescharacteristic
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—131no—
1072C22×D4—131no—
1073C22×D4—131no—
1074C22×D4—131no—
1075C22×D4—131no—
1076C22×D4—131no—
1077C22×D4—131no—
1078C22×D4—131no—
1079C22×D4—131no—
1080C22×D4—131no—
1081C22×D4—264no—
1082C22×D4—264no—
1083C22×D4—522no—
1084C22×D4—522no—
1085C22×D4—522no—
1086C22×D4—522no—
1087C22×D4C22×D1311yescharacteristic
1088C22×D4C22×D1311yescharacteristic
1089C22×D4C22×D1311yescharacteristic
1090C22×D4C22×D1311yescharacteristic
1091C22×D4C22×D1311yescharacteristic
1092C22×D4C22×D1311yescharacteristic
1093C23×C4—131no—
1094C23×C4—131no—
1095C23×C4—131no—
1096C23×C4—131no—
1097C23×C4—131no—
1098C23×C4—131no—
1099C23×C4—131no—
1100C23×C4—131no—
1101C23×C4—131no—
1102C23×C4—131no—
1103C23×C4—131no—
1104C23×C4—522no—
1105C23×C4—522no—
1106C23×C4—522no—
1107C23×C4C22×D1311yescharacteristic
1108C23×C4C22×D1311yescharacteristic
1109#124—42no—
1110#123—522no—
1111#123—522no—
1112C22⋊Q8—42no—
1113C22⋊Q8—522no—
1114#121—42no—
1115#121—42no—
1116#121—522no—
1117#121—522no—
1118#121—522no—
1119#121—522no—
1120#121—522no—
1121#120—264no—
1122#120—522no—
1123#120—522no—
1124#120—522no—
1125#120—522no—
1126#120—522no—
1127#120—522no—
1128C4×D4—522no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—131no—
1133C2×C4⋊C4—131no—
1134C2×C4⋊C4—131no—
1135C2×C4⋊C4—131no—
1136C2×C4⋊C4—131no—
1137C2×C4⋊C4—131no—
1138C2×C4⋊C4—131no—
1139C2×C4⋊C4—131no—
1140C2×C4⋊C4C22×D1311yescharacteristic
1141C2×C4⋊C4C22×D1311yescharacteristic
1142C2×C4⋊C4C22×D1311yescharacteristic
1143C2×C4⋊C4C22×D1311yescharacteristic
1144C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1182C2×C22⋊C4—131no—
1183C2×C22⋊C4—131no—
1184C2×C22⋊C4—131no—
1185C2×C22⋊C4—131no—
1186C2×C22⋊C4—131no—
1187C2×C22⋊C4—131no—
1188C2×C22⋊C4—131no—
1189C2×C22⋊C4—131no—
1190C2×C22⋊C4—131no—
1191C2×C22⋊C4—522no—
1192C2×C22⋊C4—522no—
1193C2×C22⋊C4—522no—
1194C2×C22⋊C4—522no—
1195C2×C22⋊C4C22×D1311yescharacteristic
1196C2×C22⋊C4C22×D1311yescharacteristic
1197C2×C22⋊C4C22×D1311yescharacteristic
1198C2×C22⋊C4C22×D1311yescharacteristic
1199C2×C22⋊C4C22×D1311yescharacteristic
1200C2×C22⋊C4C22×D1311yescharacteristic
1201C2×C22⋊C4C22×D1311yescharacteristic
1202C2×C22⋊C4C22×D1311yescharacteristic
1203C2×C22⋊C4C22×D1311yescharacteristic
1204C2×C22⋊C4C22×D1311yescharacteristic
1205C2×C22⋊C4C22×D1311yescharacteristic
1206C2×C22⋊C4C22×D1311yescharacteristic
1207C2×C22⋊C4C22×D1311yescharacteristic
1208C2×C22⋊C4C22×D1311yescharacteristic
1209C2×C42—131no—
1210C2×C42—131no—
1211C2×C42C22×D1311yescharacteristic
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—
1239#95—131no—
1240#95—131no—
1241#95—131no—
1242#95—131no—
1243#95—131no—
1244#95—131no—
1245#95—131no—
1246#95C22×D1311yescharacteristic
1247#95C22×D1311yescharacteristic
1248#95C22×D1311yescharacteristic
1249#95C22×D1311yescharacteristic
1250#95C22×D1311yescharacteristic
1251#95C22×D1311yescharacteristic
1252C2×C13—42no—
1253C2×C13—42no—
1254C2×C13—81no—
1255C2×C13—81no—
1256C2×C13C2×#53811yescharacteristic
1257C2×C13#349011yescharacteristic
1258C2×C13#350511yescharacteristic
1259C2×C13#353211yescharacteristic
1260C2×C13#353411yescharacteristic
1261C2×C13#353411yescharacteristic
1262C2×C13#353711yescharacteristic
1263D13—24no—
1264D13—42no—
1265D13—42no—
1266D13—81no—
1267C24—131no—
1268C24—131no—
1269C24—131no—
1270C24—134no—
1271C24—131no—
1272C24—262no—
1273C24—262no—
1274C24—262no—
1275C24—262no—
1276C24—262no—
1277C24—262no—
1278C24—262no—
1279C24—262no—
1280C24—521no—
1281C24—521no—
1282C24—521no—
1283C24—521no—
1284C24—521no—
1285C24—521no—
1286C24—521no—
1287C24—521no—
1288C24—521no—
1289C24—521no—
1290C24—521no—
1291C24—521no—
1292C24C23×D1311yescharacteristic
1293C24C23×D1311yescharacteristic
1294C24C23×D1311yescharacteristic
1295C24C23×D1311yescharacteristic
1296C2×Q8—41no—
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—262no—
1318C2×D4—262no—
1319C2×D4—262no—
1320C2×D4—262no—
1321C2×D4—262no—
1322C2×D4—262no—
1323C2×D4—262no—
1324C2×D4—262no—
1325C2×D4—262no—
1326C2×D4—262no—
1327C2×D4—262no—
1328C2×D4—262no—
1329C2×D4—262no—
1330C2×D4—262no—
1331C2×D4—262no—
1332C2×D4—262no—
1333C2×D4—262no—
1334C2×D4—262no—
1335C2×D4—262no—
1336C2×D4—262no—
1337C2×D4—262no—
1338C2×D4—521no—
1339C2×D4—521no—
1340C2×D4—521no—
1341C2×D4—521no—
1342C2×D4—521no—
1343C2×D4—521no—
1344C2×D4—521no—
1345C2×D4—521no—
1346C2×D4—521no—
1347C2×D4—521no—
1348C2×D4—521no—
1349C2×D4—521no—
1350C2×D4—521no—
1351C2×D4—521no—
1352C2×D4—521no—
1353C2×D4—521no—
1354C2×D4—521no—
1355C2×D4—521no—
1356C2×D4—5216no—
1357C2×D4—5216no—
1358C22×C4—22no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—131no—
1365C22×C4—131no—
1366C22×C4—131no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—131no—
1371C22×C4—131no—
1372C22×C4—131no—
1373C22×C4—131no—
1374C22×C4—131no—
1375C22×C4—131no—
1376C22×C4—262no—
1377C22×C4—262no—
1378C22×C4—262no—
1379C22×C4—262no—
1380C22×C4—262no—
1381C22×C4—262no—
1382C22×C4—262no—
1383C22×C4—262no—
1384C22×C4—262no—
1385C22×C4—262no—
1386C22×C4—521no—
1387C22×C4—521no—
1388C22×C4—521no—
1389C22×C4—521no—
1390C22×C4—521no—
1391C22×C4—521no—
1392C22×C4—521no—
1393C22×C4—521no—
1394C22×C4—521no—
1395C22×C4—521no—
1396C22×C4—521no—
1397C22×C4—521no—
1398C22×C4—521no—
1399C22×C4—521no—
1400C22×C4—5216no—
1401C22×C4—521no—
1402C22×C4—521no—
1403C22×C4—521no—
1404C22×C4—521no—
1405C22×C4—521no—
1406C22×C4—521no—
1407C22×C4—521no—
1408C22×C4—521no—
1409C22×C4—521no—
1410C22×C4C23×D1311yescharacteristic
1411C22×C4C23×D1311yescharacteristic
1412C22×C4C23×D1311yescharacteristic
1413C22×C4C23×D1311yescharacteristic
1414C22×C4C23×D1311yescharacteristic
1415C22×C4C23×D1311yescharacteristic
1416C22×C4C23×D1311yescharacteristic
1417C22×C4C23×D1311yescharacteristic
1418C22×C4C23×D1311yescharacteristic
1419C22×C4C23×D1311yescharacteristic
1420C22×C4C23×D1311yescharacteristic
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—521no—
1427C4⋊C4—521no—
1428C4⋊C4—521no—
1429C4⋊C4—521no—
1430C4⋊C4—521no—
1431C4⋊C4—521no—
1432C4⋊C4—521no—
1433C4⋊C4—521no—
1434C4⋊C4—521no—
1435C4⋊C4—521no—
1436C4⋊C4—521no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—262no—
1452C22⋊C4—262no—
1453C22⋊C4—262no—
1454C22⋊C4—262no—
1455C22⋊C4—262no—
1456C22⋊C4—262no—
1457C22⋊C4—262no—
1458C22⋊C4—262no—
1459C22⋊C4—262no—
1460C22⋊C4—262no—
1461C22⋊C4—262no—
1462C22⋊C4—521no—
1463C22⋊C4—521no—
1464C22⋊C4—521no—
1465C22⋊C4—521no—
1466C22⋊C4—521no—
1467C22⋊C4—521no—
1468C22⋊C4—521no—
1469C22⋊C4—521no—
1470C22⋊C4—521no—
1471C22⋊C4—521no—
1472C22⋊C4—521no—
1473C22⋊C4—521no—
1474C22⋊C4—521no—
1475C22⋊C4—521no—
1476C22⋊C4—521no—
1477C22⋊C4—521no—
1478C22⋊C4—521no—
1479C22⋊C4—521no—
1480C22⋊C4—521no—
1481C22⋊C4—521no—
1482C22⋊C4—521no—
1483C22⋊C4—521no—
1484C22⋊C4—521no—
1485C22⋊C4—521no—
1486C22⋊C4—521no—
1487C22⋊C4—521no—
1488C22⋊C4—521no—
1489C22⋊C4—521no—
1490C22⋊C4—521no—
1491C22⋊C4—521no—
1492C22⋊C4—521no—
1493C22⋊C4—521no—
1494C22⋊C4—521no—
1495C22⋊C4—521no—
1496C22⋊C4—521no—
1497C42—41no—
1498C42—521no—
1499C42—521no—
1500C13#3677611yescharacteristic, complemented, Sylow
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—132no—
1528C23—132no—
1529C23—132no—
1530C23—132no—
1531C23—132no—
1532C23—268no—
1533C23—268no—
1534C23—261no—
1535C23—261no—
1536C23—261no—
1537C23—261no—
1538C23—261no—
1539C23—261no—
1540C23—261no—
1541C23—261no—
1542C23—261no—
1543C23—261no—
1544C23—261no—
1545C23—261no—
1546C23—261no—
1547C23—261no—
1548C23—261no—
1549C23—261no—
1550C23—261no—
1551C23—261no—
1552C23—261no—
1553C23—261no—
1554C23—261no—
1555C23—261no—
1556C23—261no—
1557C23—524no—
1558C23—524no—
1559C23—524no—
1560C23—524no—
1561C23—524no—
1562C23—524no—
1563C23—524no—
1564C23—524no—
1565C23—524no—
1566C23—1042no—
1567C23—1042no—
1568C23—1042no—
1569C23—1042no—
1570C23—1042no—
1571C23—1042no—
1572C23—1042no—
1573C23—1042no—
1574C23—1042no—
1575C23—1042no—
1576C23#8825112yes—
1577C23#41×D1312yes—
1578C23C24×D1311yescharacteristic
1579Q8—82no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—524no—
1587D4—524no—
1588D4—524no—
1589D4—524no—
1590D4—524no—
1591D4—524no—
1592D4—524no—
1593D4—1042no—
1594D4—1042no—
1595D4—1042no—
1596D4—1042no—
1597D4—1042no—
1598D4—1042no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—44no—
1632C2×C4—82no—
1633C2×C4—261no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—261no—
1647C2×C4—261no—
1648C2×C4—261no—
1649C2×C4—261no—
1650C2×C4—261no—
1651C2×C4—261no—
1652C2×C4—261no—
1653C2×C4—261no—
1654C2×C4—261no—
1655C2×C4—261no—
1656C2×C4—261no—
1657C2×C4—261no—
1658C2×C4—261no—
1659C2×C4—261no—
1660C2×C4—261no—
1661C2×C4—261no—
1662C2×C4—261no—
1663C2×C4—261no—
1664C2×C4—261no—
1665C2×C4—261no—
1666C2×C4—261no—
1667C2×C4—261no—
1668C2×C4—261no—
1669C2×C4—524no—
1670C2×C4—524no—
1671C2×C4—524no—
1672C2×C4—524no—
1673C2×C4—524no—
1674C2×C4—524no—
1675C2×C4—524no—
1676C2×C4—1042no—
1677C2×C4—1042no—
1678C2×C4—1042no—
1679C2×C4—1042no—
1680C2×C4#8825112yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—134no—
1710C22—262no—
1711C22—262no—
1712C22—262no—
1713C22—262no—
1714C22—262no—
1715C22—262no—
1716C22—262no—
1717C22—262no—
1718C22—262no—
1719C22—262no—
1720C22—262no—
1721C22—262no—
1722C22—5216no—
1723C22—521no—
1724C22—521no—
1725C22—521no—
1726C22—521no—
1727C22—521no—
1728C22—521no—
1729C22—521no—
1730C22—521no—
1731C22—521no—
1732C22—521no—
1733C22—521no—
1734C22—521no—
1735C22—521no—
1736C22—521no—
1737C22—521no—
1738C22—1048no—
1739C22—1048no—
1740C22C2×#8825111yescharacteristic
1741C22C2×#8825111yescharacteristic
1742C22C2×#41×D1311yescharacteristic
1743C22D13×H(5,𝔽2)11yescharacteristic
1744C22D13×H(5,𝔽2)11yescharacteristic
1745C22D13×H(5,𝔽2)11yescharacteristic
1746C22#1171965211yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—521no—
1759C4—521no—
1760C4—521no—
1761C4—521no—
1762C4—521no—
1763C4—521no—
1764C4—521no—
1765C4—521no—
1766C4—521no—
1767C4—521no—
1768C4—521no—
1769C4—521no—
1770C2—42no—
1771C2—42no—
1772C2—81no—
1773C2—81no—
1774C2—264no—
1775C2—522no—
1776C2—522no—
1777C2—1041no—
1778C2D13×#53811yescharacteristic
1779C2#1312851811yescharacteristic
1780C2#1312867211yescharacteristic
1781C2#1312899011yescharacteristic
1782C2#1312901511yescharacteristic
1783C2#1312902811yescharacteristic
1784C2#1312906711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2676C2
hypercenter#2676D13
hypocenterC13#36776
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. #13123131C2semidirect
2. #13123115C2semidirect
3. #13122454C2semidirect
4. #13122447C2semidirect
5. #13122211C2semidirect
6. #13122077C2semidirect
7. #13122062C2semidirect
8. #13122052C2semidirect
9. #13121978C2semidirect
10. #13121476C2semidirect
11. #13121394C2semidirect
12. #13121380C2semidirect
13. #13121271C2semidirect
14. #13121266C2semidirect
15. #13121212C2semidirect
16. #13121168C2semidirect
17. #13121039C2semidirect
18. #13120793C2semidirect
19. #13120765C2semidirect
20. #13119393C2semidirect
21. #13118958C2semidirect
22. #13118579C2semidirect
23. #13118499C2semidirect
24. #13118373C2semidirect
25. #13118207C2semidirect
26. #13118203C2semidirect
27. #13118145C2semidirect
28. #13117495C2semidirect
29. #13117410C2semidirect
30. D13×#386C2semidirect
31. C13×#2676C2semidirect
34. C23×C4×D13C22semidirect
35. C2×C13×#124C22semidirect
36. C2×C13×C22⋊Q8C22semidirect
37. C2×C13×#121C22semidirect
38. C2×C13×#121C22semidirect
39. C2×#88200C22semidirect
40. C2×#88193C22semidirect
41. C2×#88193C22semidirect
43. C2×#88192C22semidirect
47. C2×#88191C22semidirect
48. C2×#88191C22semidirect
50. C2×#88148C22semidirect
51. C2×#88148C22semidirect
55. C2×#88135C22semidirect
58. C2×C22⋊C4×D13C22semidirect
59. C13×#396C22semidirect
60. C13×#394C22semidirect
61. C13×#394C22semidirect
62. C13×#393C22semidirect
64. C13×#392C22semidirect
65. C13×#390C22semidirect
66. C13×#387C22semidirect
67. C13×#386C22semidirect
68. C13×#386C22semidirect
69. C13×#385C22semidirect
70. #11718892C22semidirect
71. #11718892C22semidirect
72. #11718892C22semidirect
76. #11718884C22semidirect
77. #11718883C22semidirect
78. #11718883C22semidirect
79. #11718881C22semidirect
80. #11718881C22semidirect
81. #11718881C22semidirect
82. #11718881C22semidirect
83. #11718881C22semidirect
84. #11718881C22semidirect
85. #11718881C22semidirect
87. #11718874C22semidirect
88. #11718874C22semidirect
89. #11718874C22semidirect
90. #11718873C22semidirect
91. #11718871C22semidirect
92. #11718655C22semidirect
93. #11718655C22semidirect
94. #11718654C22semidirect
95. #11718654C22semidirect
96. #11718653C22semidirect
98. #11718651C22semidirect
99. #11718650C22semidirect
100. #11718650C22semidirect
101. #11718650C22semidirect
102. #11718650C22semidirect
103. #11718649C22semidirect
104. #11718648C22semidirect
105. #11718648C22semidirect
106. #11718643C22semidirect
107. #11718643C22semidirect
108. #11718643C22semidirect
109. #11718642C22semidirect
110. #11718622C22semidirect
111. #11718622C22semidirect
114. #11718621C22semidirect
116. #11718620C22semidirect
117. #11718620C22semidirect
118. #11718620C22semidirect
120. #11718619C22semidirect
121. #11718619C22semidirect
122. #11718619C22semidirect
123. #11718619C22semidirect
124. #11718618C22semidirect
125. #11718618C22semidirect
131. #11718617C22semidirect
132. #11718617C22semidirect
133. #11718617C22semidirect
134. #11718617C22semidirect
135. #11718617C22semidirect
136. #11718617C22semidirect
137. #11718617C22semidirect
139. #11718616C22semidirect
140. #11718616C22semidirect
141. #11718616C22semidirect
142. #11718616C22semidirect
143. #11718614C22semidirect
144. #11718613C22semidirect
145. #11718613C22semidirect
146. #11718613C22semidirect
147. #11718613C22semidirect
148. #11718613C22semidirect
149. #11718613C22semidirect
150. #11718612C22semidirect
151. #11718611C22semidirect
152. #11718607C22semidirect
153. #11718606C22semidirect
154. #11718606C22semidirect
155. #11718606C22semidirect
156. #11718605C22semidirect
157. #11718604C22semidirect
158. #11718603C22semidirect
159. #11718601C22semidirect
160. #11718601C22semidirect
161. #11718601C22semidirect
162. C4×#6103C22semidirect
163. #11718337C22semidirect
164. #11718335C22semidirect
165. #11718331C22semidirect
166. #11718329C22semidirect
174. #11718325C22semidirect
175. #11718325C22semidirect
176. #11718325C22semidirect
177. #11718325C22semidirect
178. D13×#95C22semidirect
179. D13×#95C22semidirect
180. C13⋊#401C22semidirect
181. C13⋊#401C22semidirect
182. #11718321C22semidirect
183. #11718321C22semidirect
184. #11718319C22semidirect
185. #11718319C22semidirect
186. #11718312C22semidirect
625. #2676D13semidirect
823. C2×#124C2×D13semidirect
827. C2×C22⋊Q8C2×D13semidirect
833. C2×#121C2×D13semidirect
834. C2×#121C2×D13semidirect
870. #396C2×D13semidirect
880. #394C2×D13semidirect
881. #394C2×D13semidirect
885. #393C2×D13semidirect
894. #392C2×D13semidirect
898. #390C2×D13semidirect
910. #387C2×D13semidirect
946. #386C2×D13semidirect
947. #386C2×D13semidirect
956. #385C2×D13semidirect
1500. C13#36776semidirect

Maximal subgroups

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

subgroupindex
#131231312
#131231152
#131224542
#131224472
#131222112
#131220772
#131220622
#131220522
#131219782
#131214762
#131213942
#131213802
#131212712
#131212662
#131212122
#131211682
#131210392
#131207932
#131207652
#131193932
#131189582
#131185792
#131184992
#131183732
#131182072
#131182032
#131181452
#131174952
#131174102
D13×#3862
C13×#26762
#3677613