Finite Group Databasebeta

← #16035714

Subgroups — #16035714

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123165C211yesmaximal, characteristic, complemented
2#13123155C211yesmaximal, characteristic, complemented
3#13123149C211yesmaximal, characteristic, complemented
4#13123133C211yesmaximal, characteristic, complemented
5#13120894C211yesmaximal, characteristic, complemented
6#13120832C211yesmaximal, characteristic, complemented
7#13120819C211yesmaximal, characteristic, complemented
8#13120817C211yesmaximal, characteristic, complemented
9#13119495C211yesmaximal, characteristic, complemented
10#13119489C211yesmaximal, characteristic, complemented
11#13119402C211yesmaximal, characteristic, complemented
12#13119394C211yesmaximal, characteristic, complemented
13#13119335C211yesmaximal, characteristic, complemented
14#13119166C211yesmaximal, characteristic, complemented
15#13119079C211yesmaximal, characteristic, complemented
16#13118959C211yesmaximal, characteristic, complemented
17#13118888C211yesmaximal, characteristic, complemented
18#13118774C211yesmaximal, characteristic, complemented
19#13118592C211yesmaximal, characteristic, complemented
20#13118502C211yesmaximal, characteristic, complemented
21#13118383C211yesmaximal, characteristic, complemented
22#13118232C211yesmaximal, characteristic, complemented
23#13118210C211yesmaximal, characteristic
24#13117567C211yesmaximal, characteristic, complemented
25#13117491C211yesmaximal, characteristic, complemented
26#13117464C211yesmaximal, characteristic, complemented
27#13117432C211yesmaximal, characteristic, complemented
28#13117335C211yesmaximal, characteristic, complemented
29C2×#11718881C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic13C211yesmaximal, characteristic, complemented
31C13×#2405C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C24×Dic13C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C22×C22⋊Dic13C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C22×C22⋊Dic13C2211yescharacteristic
42C22×C22⋊Dic13C2211yescharacteristic
43C2×#88193C2211yescharacteristic
44C2×#88193C2211yescharacteristic
45C2×#88183C2211yescharacteristic, complemented
46C22×C4×Dic13C2211yescharacteristic, complemented
47C22×C4×Dic13C2211yescharacteristic, complemented
48C2×#88139C2211yescharacteristic, complemented
49C2×#88135C2211yescharacteristic
50C2×#88135C2211yescharacteristic, complemented
51C2×#88135C2211yescharacteristic, complemented
52C2×#88133C2211yescharacteristic, complemented
53C2×#88132C2211yescharacteristic
54C2×#88132C2211yescharacteristic, complemented
55C13×#394C2211yescharacteristic
56C13×#394C2211yescharacteristic
57C13×#394C2211yescharacteristic
58C13×#394C2211yescharacteristic
59C13×#386C2211yescharacteristic
60C13×#386C2211yescharacteristic
61C13×#385C2211yescharacteristic
62C13×#385C2211yescharacteristic
63C13×#379C2211yescharacteristic
64C13×#379C2211yescharacteristic
65C13×#379C2211yescharacteristic
66#11718908C2211yescharacteristic
67#11718884C2211yescharacteristic
68#11718884C2211yescharacteristic
69#11718883C2211yescharacteristic
70#11718883C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic
74#11718881C2211yescharacteristic
75#11718881C2211yescharacteristic
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic
80#11718881C2211yescharacteristic
81#11718874C2211yescharacteristic
82#11718874C2211yescharacteristic, complemented
83#11718872C2211yescharacteristic, complemented
84#11718871C2211yescharacteristic
85#11718871C2211yescharacteristic, complemented
86C2×#88071C2211yescharacteristic
87C2×#88071C2211yescharacteristic
88C2×#88071C2211yescharacteristic, complemented
89C2×#88071C2211yescharacteristic, complemented
90#11718654C2211yescharacteristic, complemented
91#11718651C2211yescharacteristic, complemented
92#11718651C2211yescharacteristic, complemented
93#11718648C2211yescharacteristic, complemented
94#11718643C2211yescharacteristic, complemented
95#11718643C2211yescharacteristic, complemented
96#11718641C2211yescharacteristic, complemented
97#11718639C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718639C2211yescharacteristic, complemented
100#11718639C2211yescharacteristic, complemented
101#11718638C2211yescharacteristic, complemented
102#11718635C2211yescharacteristic, complemented
103#11718634C2211yescharacteristic, complemented
104#11718633C2211yescharacteristic, complemented
105#11718633C2211yescharacteristic, complemented
106#11718622C2211yescharacteristic, complemented
107#11718620C2211yescharacteristic, complemented
108#11718620C2211yescharacteristic, complemented
109#11718620C2211yescharacteristic, complemented
110#11718619C2211yescharacteristic
111#11718619C2211yescharacteristic
112#11718619C2211yescharacteristic
113#11718619C2211yescharacteristic, complemented
114#11718619C2211yescharacteristic, complemented
115#11718618C2211yescharacteristic, complemented
116#11718618C2211yescharacteristic, complemented
117#11718618C2211yescharacteristic, complemented
118#11718617C2211yescharacteristic, complemented
119#11718617C2211yescharacteristic, complemented
120#11718614C2211yescharacteristic, complemented
121#11718613C2211yescharacteristic, complemented
122#11718613C2211yescharacteristic, complemented
123#11718613C2211yescharacteristic, complemented
124#11718613C2211yescharacteristic, complemented
125#11718613C2211yescharacteristic, complemented
126#11718612C2211yescharacteristic, complemented
127#11718612C2211yescharacteristic, complemented
128#11718611C2211yescharacteristic
129#11718611C2211yescharacteristic, complemented
130#11718610C2211yescharacteristic, complemented
131#11718609C2211yescharacteristic, complemented
132#11718609C2211yescharacteristic, complemented
133#11718609C2211yescharacteristic, complemented
134#11718608C2211yescharacteristic, complemented
135#11718608C2211yescharacteristic, complemented
136#11718607C2211yescharacteristic
137#11718607C2211yescharacteristic
138#11718607C2211yescharacteristic, complemented
139#11718607C2211yescharacteristic, complemented
140#11718607C2211yescharacteristic, complemented
141#11718606C2211yescharacteristic, complemented
142#11718606C2211yescharacteristic, complemented
143#11718606C2211yescharacteristic, complemented
144#11718606C2211yescharacteristic, complemented
145#11718606C2211yescharacteristic, complemented
146#11718606C2211yescharacteristic, complemented
147#11718606C2211yescharacteristic, complemented
148#11718605C2211yescharacteristic, complemented
149#11718605C2211yescharacteristic, complemented
150#11718605C2211yescharacteristic, complemented
151#11718605C2211yescharacteristic, complemented
152#11718605C2211yescharacteristic, complemented
153#11718605C2211yescharacteristic, complemented
154#11718605C2211yescharacteristic, complemented
155#11718605C2211yescharacteristic, complemented
156#11718603C2211yescharacteristic
157#11718603C2211yescharacteristic
158#11718603C2211yescharacteristic
159#11718603C2211yescharacteristic, complemented
160C22⋊C4×Dic13C2211yescharacteristic
161C22⋊C4×Dic13C2211yescharacteristic
162C22⋊C4×Dic13C2211yescharacteristic
163C22⋊C4×Dic13C2211yescharacteristic
164C22⋊C4×Dic13C2211yescharacteristic
165C22⋊C4×Dic13C2211yescharacteristic, complemented
166C22⋊C4×Dic13C2211yescharacteristic, complemented
167C22⋊C4×Dic13C2211yescharacteristic, complemented
168C22⋊C4×Dic13C2211yescharacteristic, complemented
169C22⋊C4×Dic13C2211yescharacteristic, complemented
170C22⋊C4×Dic13C2211yescharacteristic, complemented
171#11718336C2211yescharacteristic, complemented
172#11718331C2211yescharacteristic, complemented
173#11718330C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175C13⋊#401C2211yescharacteristic, complemented
176#11718319C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718316C2211yescharacteristic, complemented
179#11718314C2211yescharacteristic, complemented
180#11718313C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718312C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718311C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C25×C13C2311yescharacteristic
189C22×D4×C13—24no—
190C22×D4×C13—42no—
191C22×D4×C13—42no—
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C23×Dic13—24no—
205C23×Dic13—42no—
206C23×Dic13—42no—
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C23×Dic13C2311yescharacteristic
214C23×Dic13C2311yescharacteristic
215C23×Dic13C2311yescharacteristic
216C23×Dic13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×Dic26C2311yescharacteristic
219C13×#123—42no—
220C13×#123—42no—
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4—24no—
226C2×C13×C22⋊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×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244#88207—24no—
245#88207—24no—
246C2×C22⋊Dic13—24no—
247C2×C22⋊Dic13—24no—
248C2×C22⋊Dic13—42no—
249C2×C22⋊Dic13—42no—
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
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
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275#88193—42no—
276#88193—42no—
277#88183—42no—
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×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×C4×Dic13—42no—
306C2×C4×Dic13—42no—
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318#88139—42no—
319#88135—24no—
320#88135—42no—
321#88135—42no—
322#88133—42no—
323#88132—24no—
324#88132—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329#88071C2311yescharacteristic
330#88071C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
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#34998—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—22no—
376C24×C13—22no—
377C24×C13—41no—
378C24×C13—41no—
379C24×C13—41no—
380C24×C13—41no—
381C24×C13—41no—
382C24×C13—41no—
383C24×C13#4114yes—
384C24×C13C2411yescharacteristic
385C24×C13C2411yescharacteristic
386C24×C13C2411yescharacteristic
387C24×C13C2411yescharacteristic
388C24×C13C2411yescharacteristic
389C23×D13C2411yescharacteristic
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—22no—
395C2×D4×C13—22no—
396C2×D4×C13—22no—
397C2×D4×C13—22no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13—416no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13—22no—
407C22×C4×C13—22no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13—41no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C2×C22⋊D13—41no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—22no—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—41no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13—41no—
458C22×Dic13—41no—
459C22×Dic13—41no—
460C22×Dic13—41no—
461C22×Dic13—41no—
462C22×Dic13—41no—
463C22×Dic13—41no—
464C22×Dic13—41no—
465C22×Dic13—41no—
466C22×Dic13—416no—
467C22×Dic13#4114yes—
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C2×C4×D13—22no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×Dic26—22no—
487C2×Dic26—41no—
488C2×Dic26—41no—
489C13×C4⋊C4—41no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
511C22⋊Dic13—22no—
512C22⋊Dic13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—22no—
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—41no—
528C22⋊Dic13—41no—
529C22⋊Dic13—41no—
530C22⋊Dic13—41no—
531C22⋊Dic13—41no—
532C22⋊Dic13—41no—
533C22⋊Dic13—41no—
534C22⋊Dic13—41no—
535C22⋊Dic13#4114yes—
536#6103—22no—
537#6103—22no—
538#6103—41no—
539#6103—41no—
540#6103—41no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545C4⋊Dic13—22no—
546C4⋊Dic13—41no—
547C4⋊Dic13—41no—
548#6101—22no—
549#6101—22no—
550#6101—22no—
551#6101—22no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101—41no—
561#6101—41no—
562#6101—41no—
563C4×Dic13—22no—
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574#2854—131no—
575#2853—131no—
576#2852—131no—
577#2850—131no—
578#2653—131no—
579#2649—131no—
580#2648—131no—
581#2648—131no—
582#2518—131no—
583#2518—131no—
584#2510—131no—
585#2510—131no—
586#2505—131no—
587#2488—131no—
588#2480—131no—
589#2472—131no—
590#2467—131no—
591#2459—131no—
592#2444—131no—
593#2437—131no—
594#2425—131no—
595#2412—131no—
596#2410—131no—
597#2405D1311yescharacteristic, complemented
598#2329—131no—
599#2321—131no—
600#2318—131no—
601#2312—131no—
602C4×#120—131no—
603C2×#386—131no—
604C2×C4×C22⋊C4—131no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—28no—
614C23×C13—28no—
615C23×C13—21no—
616C23×C13—21no—
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—44no—
636C23×C13—44no—
637C23×C13—44no—
638C23×C13—44no—
639C23×C13—44no—
640C23×C13—44no—
641C23×C13—44no—
642C23×C13—44no—
643C23×C13—82no—
644C23×C13—82no—
645C23×C13—82no—
646C23×C13—82no—
647C23×C13C2×#4112yes—
648C23×C13C2×#4112yes—
649C23×C13C2×#4112yes—
650C23×C13C2×#4112yes—
651C23×C13C2×#4112yes—
652C23×C13H(5,𝔽2)12yes—
653C23×C13H(5,𝔽2)12yes—
654C23×C13C2511yescharacteristic
655C22×D13—21no—
656C22×D13—21no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662D4×C13—44no—
663D4×C13—44no—
664D4×C13—44no—
665D4×C13—44no—
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—44no—
697C2×C4×C13—44no—
698C2×C4×C13—44no—
699C22⋊D13—44no—
700C22⋊D13—44no—
701C22⋊D13—44no—
702C22⋊D13—82no—
703C22⋊D13—82no—
704C2×Dic13—28no—
705C2×Dic13—21no—
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—44no—
746C2×Dic13—44no—
747C2×Dic13—44no—
748C2×Dic13—44no—
749C2×Dic13—44no—
750C2×Dic13—44no—
751C2×Dic13—44no—
752C2×Dic13—82no—
753C2×Dic13—82no—
754C2×Dic13C2×#4112yes—
755C2×Dic13C2×#4112yes—
756C2×Dic13C2×#4112yes—
757C2×Dic13C2×#4112yes—
758C2×Dic13H(5,𝔽2)12yes—
759C4×D13—82no—
760Dic26—82no—
761C23×D4C2×D1311yescharacteristic
762C24×C4—131no—
763C2×#126—131no—
764C2×#124—131no—
765C2×#123—131no—
766C2×#123C2×D1311yescharacteristic
767C2×#123C2×D1311yescharacteristic
768C2×C22⋊Q8—131no—
769C2×C22⋊Q8—131no—
770C2×#121—131no—
771C2×#121—131no—
772C2×#120—131no—
773C2×#120—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C22×C22⋊C4—131no—
778C22×C22⋊C4—131no—
779C22×C22⋊C4—131no—
780C22×C22⋊C4—131no—
781C22×C22⋊C4C2×D1311yescharacteristic
782C22×C42—131no—
783C22×C42—131no—
784#401—131no—
785#400—131no—
786#400—131no—
787#400—131no—
788#400—131no—
789#399—131no—
790#398—131no—
791#397—131no—
792#397—131no—
793#397—131no—
794#397—131no—
795#397—131no—
796#397—131no—
797#397—131no—
798#397—131no—
799#396—131no—
800#396—131no—
801#396—131no—
802#394—131no—
803#394—131no—
804#394—131no—
805#394—131no—
806#394—131no—
807#394—131no—
808#394C2×D1311yescharacteristic
809#394C2×D1311yescharacteristic
810#394C2×D1311yescharacteristic
811#394C2×D1311yescharacteristic
812#393—131no—
813#393—131no—
814#392—131no—
815#392—131no—
816#391—131no—
817#391—131no—
818#390—131no—
819#390—131no—
820#390—131no—
821#389—131no—
822#389—131no—
823#389—131no—
824#388—131no—
825#388—131no—
826#388—131no—
827#388—131no—
828#388—131no—
829#388—131no—
830#388—131no—
831#388—131no—
832#388—131no—
833#388—131no—
834#388—131no—
835#388—131no—
836#388—131no—
837#388—131no—
838#388—131no—
839#388—131no—
840#388—131no—
841#388—131no—
842#388—131no—
843#388—131no—
844#388—131no—
845#387—131no—
846#387—131no—
847#387—131no—
848#387—131no—
849#387—131no—
850#387—131no—
851#387—131no—
852#387—131no—
853#387—131no—
854#386—131no—
855#386—131no—
856#386—131no—
857#386—131no—
858#386—131no—
859#386—131no—
860#386—131no—
861#386—131no—
862#386—131no—
863#386—131no—
864#386—131no—
865#386—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386C2×D1311yescharacteristic
874#386C2×D1311yescharacteristic
875#385—131no—
876#385—131no—
877#385—131no—
878#385—131no—
879#385—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385C2×D1311yescharacteristic
885#385C2×D1311yescharacteristic
886#383—131no—
887#383—131no—
888#382—131no—
889#382—131no—
890#381—131no—
891#381—131no—
892#380—131no—
893#380—131no—
894#380—131no—
895#380—131no—
896#380—131no—
897#379—131no—
898#379C2×D1311yescharacteristic
899#379C2×D1311yescharacteristic
900#379C2×D1311yescharacteristic
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4—131no—
906C4×C22⋊C4—131no—
907C4×C22⋊C4—131no—
908C4×C22⋊C4—131no—
909C4×C22⋊C4—131no—
910C4×C22⋊C4—131no—
911C4×C22⋊C4—131no—
912C2×#95—131no—
913C2×#95—131no—
914C2×#95—131no—
915C2×#95—131no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—22no—
925C22×C13—22no—
926C22×C13—22no—
927C22×C13—22no—
928C22×C13—22no—
929C22×C13—22no—
930C22×C13—22no—
931C22×C13—416no—
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×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—88no—
951C22×C13#52914yes—
952C22×C13#53814yes—
953C22×C13C22×#4111yescharacteristic
954C22×C13C22×#4111yescharacteristic
955C22×C13C22×#4111yescharacteristic
956C22×C13C2×H(5,𝔽2)11yescharacteristic
957C22×C13C2×H(5,𝔽2)11yescharacteristic
958C22×C13C2×H(5,𝔽2)11yescharacteristic
959C22×C13#58511yescharacteristic
960C2×D13—41no—
961C2×D13—41no—
962C2×D13—41no—
963C2×D13—41no—
964C2×D13—41no—
965C2×D13—41no—
966C2×D13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977Dic13—22no—
978Dic13—22no—
979Dic13—22no—
980Dic13—22no—
981Dic13—22no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987Dic13—41no—
988Dic13—41no—
989Dic13—41no—
990Dic13—41no—
991Dic13—41no—
992C25C22×D1311yescharacteristic
993C25C22×D1311yescharacteristic
994C22×Q8—131no—
995C22×D4—24no—
996C22×D4—42no—
997C22×D4—42no—
998C22×D4—131no—
999C22×D4—131no—
1000C22×D4—131no—
1001C22×D4—131no—
1002C22×D4—131no—
1003C22×D4C22×D1311yescharacteristic
1004C22×D4C22×D1311yescharacteristic
1005C22×D4C22×D1311yescharacteristic
1006C22×D4C22×D1311yescharacteristic
1007C23×C4—131no—
1008C23×C4—131no—
1009C23×C4—131no—
1010C23×C4—131no—
1011C23×C4—131no—
1012C23×C4—131no—
1013C23×C4—131no—
1014C23×C4—131no—
1015C23×C4—131no—
1016C23×C4—131no—
1017C23×C4—131no—
1018C23×C4—264no—
1019C23×C4—522no—
1020C23×C4—522no—
1021C23×C4C22×D1311yescharacteristic
1022C23×C4C22×D1311yescharacteristic
1023C23×C4C22×D1311yescharacteristic
1024#126—522no—
1025#124—522no—
1026#123—42no—
1027#123—42no—
1028#123—522no—
1029C22⋊Q8—264no—
1030C22⋊Q8—522no—
1031#121—522no—
1032#121—522no—
1033#120—264no—
1034#120—264no—
1035C4×D4—264no—
1036C4×D4—522no—
1037C4×D4—522no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
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⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4—24no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—264no—
1096C2×C22⋊C4—264no—
1097C2×C22⋊C4—522no—
1098C2×C22⋊C4—522no—
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C22⋊C4C22×D1311yescharacteristic
1110C2×C22⋊C4C22×D1311yescharacteristic
1111C2×C22⋊C4C22×D1311yescharacteristic
1112C2×C22⋊C4C22×D1311yescharacteristic
1113C2×C22⋊C4C22×D1311yescharacteristic
1114C2×C22⋊C4C22×D1311yescharacteristic
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—131no—
1124C2×C42—131no—
1125C2×C42—131no—
1126C2×C42—131no—
1127C2×C42—131no—
1128C2×C42—522no—
1129C2×C42—522no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
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#95C22×D1311yescharacteristic
1171#95C22×D1311yescharacteristic
1172#95C22×D1311yescharacteristic
1173#95C22×D1311yescharacteristic
1174C2×C13—24no—
1175C2×C13—24no—
1176C2×C13—42no—
1177C2×C13—81no—
1178C2×C13—81no—
1179C2×C13C2×#52911yescharacteristic
1180C2×C13C2×#53811yescharacteristic
1181C2×C13#345911yescharacteristic
1182C2×C13#349011yescharacteristic
1183C2×C13#349411yescharacteristic
1184C2×C13#351311yescharacteristic
1185C2×C13#351911yescharacteristic
1186D13—81no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—131no—
1201C24#612914yes—
1202C24C23×D1311yescharacteristic
1203C24C23×D1311yescharacteristic
1204C24C23×D1311yescharacteristic
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C2×Q8—262no—
1208C2×Q8—521no—
1209C2×Q8—521no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—416no—
1223C2×D4—262no—
1224C2×D4—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—262no—
1228C2×D4—262no—
1229C2×D4—262no—
1230C2×D4—262no—
1231C2×D4—262no—
1232C2×D4—521no—
1233C2×D4—521no—
1234C2×D4—521no—
1235C2×D4—521no—
1236C2×D4—521no—
1237C2×D4—521no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—131no—
1252C22×C4—134no—
1253C22×C4—131no—
1254C22×C4—131no—
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—262no—
1264C22×C4—262no—
1265C22×C4—262no—
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—262no—
1277C22×C4—262no—
1278C22×C4—262no—
1279C22×C4—262no—
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×C4—521no—
1295C22×C4—5216no—
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—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
1314C4⋊C4—262no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4—521no—
1320C4⋊C4—521no—
1321C4⋊C4—521no—
1322C4⋊C4—521no—
1323C4⋊C4—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C4⋊C4—521no—
1327C4⋊C4—521no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—134no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—262no—
1354C22⋊C4—262no—
1355C22⋊C4—262no—
1356C22⋊C4—262no—
1357C22⋊C4—262no—
1358C22⋊C4—262no—
1359C22⋊C4—262no—
1360C22⋊C4—262no—
1361C22⋊C4—262no—
1362C22⋊C4—262no—
1363C22⋊C4—262no—
1364C22⋊C4—262no—
1365C22⋊C4—521no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C22⋊C4—521no—
1377C22⋊C4—521no—
1378C22⋊C4—521no—
1379C22⋊C4—521no—
1380C42—262no—
1381C42—262no—
1382C42—262no—
1383C42—521no—
1384C42—521no—
1385C42—521no—
1386C42—521no—
1387C42—521no—
1388C42—521no—
1389C42—521no—
1390C42—521no—
1391C13#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—28no—
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—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—261no—
1435C23—261no—
1436C23—261no—
1437C23—261no—
1438C23—261no—
1439C23—261no—
1440C23—261no—
1441C23C2×#612912yes—
1442C23C2×#612912yes—
1443C23C2×#612912yes—
1444C23#8825112yes—
1445C23#8825112yes—
1446C23#41×D1312yes—
1447C23#41×D1312yes—
1448C23C24×D1311yescharacteristic
1449Q8—1042no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—524no—
1455D4—524no—
1456D4—524no—
1457D4—1042no—
1458D4—1042no—
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—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—132no—
1493C2×C4—132no—
1494C2×C4—132no—
1495C2×C4—132no—
1496C2×C4—132no—
1497C2×C4—268no—
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—261no—
1530C2×C4—261no—
1531C2×C4—261no—
1532C2×C4—261no—
1533C2×C4—261no—
1534C2×C4—261no—
1535C2×C4—261no—
1536C2×C4—261no—
1537C2×C4—261no—
1538C2×C4—524no—
1539C2×C4—524no—
1540C2×C4—524no—
1541C2×C4—524no—
1542C2×C4—524no—
1543C2×C4—524no—
1544C2×C4—524no—
1545C2×C4—1042no—
1546C2×C4—1042no—
1547C2×C4—1042no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—521no—
1584C22—521no—
1585C22—521no—
1586C22—521no—
1587C22—521no—
1588C22—521no—
1589C22—521no—
1590C22#1171929814yes—
1591C22#1171935414yes—
1592C22C22×#612911yescharacteristic
1593C22C2×#8825111yescharacteristic
1594C22C2×#8825111yescharacteristic
1595C22C2×#41×D1311yescharacteristic
1596C22C2×#41×D1311yescharacteristic
1597C22D13×H(5,𝔽2)11yescharacteristic
1598C22#1171965011yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—262no—
1610C4—262no—
1611C4—262no—
1612C4—262no—
1613C4—262no—
1614C4—521no—
1615C4—521no—
1616C4—521no—
1617C4—521no—
1618C4—521no—
1619C4—521no—
1620C4—521no—
1621C4—521no—
1622C4—521no—
1623C4—521no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—1041no—
1630C2C2×#1171935411yescharacteristic
1631C2C2×#1171929811yescharacteristic
1632C2#1312824211yescharacteristic
1633C2#1312851811yescharacteristic
1634C2#1312855811yescharacteristic
1635C2#1312876911yescharacteristic
1636C2#1312885711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2405C2
prime radical#13118210C2
hypercenter#2405D13
hypocenterC13#34998
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. #13123165C2semidirect
2. #13123155C2semidirect
3. #13123149C2semidirect
4. #13123133C2semidirect
5. #13120894C2semidirect
6. #13120832C2semidirect
7. #13120819C2semidirect
8. #13120817C2semidirect
9. #13119495C2semidirect
10. #13119489C2semidirect
11. #13119402C2semidirect
12. #13119394C2semidirect
13. #13119335C2semidirect
14. #13119166C2semidirect
15. #13119079C2semidirect
16. #13118959C2semidirect
17. #13118888C2semidirect
18. #13118774C2semidirect
19. #13118592C2semidirect
20. #13118502C2semidirect
21. #13118383C2semidirect
22. #13118232C2semidirect
24. #13117567C2semidirect
25. #13117491C2semidirect
26. #13117464C2semidirect
27. #13117432C2semidirect
28. #13117335C2semidirect
29. C2×#11718881C2semidirect
30. C2×C22⋊C4×Dic13C2semidirect
31. C13×#2405C2semidirect
45. C2×#88183C22semidirect
46. C22×C4×Dic13C22semidirect
47. C22×C4×Dic13C22semidirect
48. C2×#88139C22semidirect
50. C2×#88135C22semidirect
51. C2×#88135C22semidirect
52. C2×#88133C22semidirect
54. C2×#88132C22semidirect
82. #11718874C22semidirect
83. #11718872C22semidirect
85. #11718871C22semidirect
88. C2×#88071C22semidirect
89. C2×#88071C22semidirect
90. #11718654C22semidirect
91. #11718651C22semidirect
92. #11718651C22semidirect
93. #11718648C22semidirect
94. #11718643C22semidirect
95. #11718643C22semidirect
96. #11718641C22semidirect
97. #11718639C22semidirect
98. #11718639C22semidirect
99. #11718639C22semidirect
100. #11718639C22semidirect
101. #11718638C22semidirect
102. #11718635C22semidirect
103. #11718634C22semidirect
104. #11718633C22semidirect
105. #11718633C22semidirect
106. #11718622C22semidirect
107. #11718620C22semidirect
108. #11718620C22semidirect
109. #11718620C22semidirect
113. #11718619C22semidirect
114. #11718619C22semidirect
115. #11718618C22semidirect
116. #11718618C22semidirect
117. #11718618C22semidirect
118. #11718617C22semidirect
119. #11718617C22semidirect
120. #11718614C22semidirect
121. #11718613C22semidirect
122. #11718613C22semidirect
123. #11718613C22semidirect
124. #11718613C22semidirect
125. #11718613C22semidirect
126. #11718612C22semidirect
127. #11718612C22semidirect
129. #11718611C22semidirect
130. #11718610C22semidirect
131. #11718609C22semidirect
132. #11718609C22semidirect
133. #11718609C22semidirect
134. #11718608C22semidirect
135. #11718608C22semidirect
138. #11718607C22semidirect
139. #11718607C22semidirect
140. #11718607C22semidirect
141. #11718606C22semidirect
142. #11718606C22semidirect
143. #11718606C22semidirect
144. #11718606C22semidirect
145. #11718606C22semidirect
146. #11718606C22semidirect
147. #11718606C22semidirect
148. #11718605C22semidirect
149. #11718605C22semidirect
150. #11718605C22semidirect
151. #11718605C22semidirect
152. #11718605C22semidirect
153. #11718605C22semidirect
154. #11718605C22semidirect
155. #11718605C22semidirect
159. #11718603C22semidirect
165. C22⋊C4×Dic13C22semidirect
166. C22⋊C4×Dic13C22semidirect
167. C22⋊C4×Dic13C22semidirect
168. C22⋊C4×Dic13C22semidirect
169. C22⋊C4×Dic13C22semidirect
170. C22⋊C4×Dic13C22semidirect
171. #11718336C22semidirect
172. #11718331C22semidirect
173. #11718330C22semidirect
174. #11718325C22semidirect
175. C13⋊#401C22semidirect
176. #11718319C22semidirect
177. #11718319C22semidirect
178. #11718316C22semidirect
179. #11718314C22semidirect
180. #11718313C22semidirect
181. #11718313C22semidirect
182. #11718313C22semidirect
183. #11718312C22semidirect
184. #11718312C22semidirect
185. #11718311C22semidirect
186. #11718307C22semidirect
597. #2405D13semidirect
1391. C13#34998semidirect

Maximal subgroups

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

subgroupindex
#131231652
#131231552
#131231492
#131231332
#131208942
#131208322
#131208192
#131208172
#131194952
#131194892
#131194022
#131193942
#131193352
#131191662
#131190792
#131189592
#131188882
#131187742
#131185922
#131185022
#131183832
#131182322
#131182102
#131175672
#131174912
#131174642
#131174322
#131173352
C2×#117188812
C2×C22⋊C4×Dic132
C13×#24052
#3499813