Finite Group Databasebeta

← #16033903

Subgroups — #16033903

Order 3328.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719233C211yesmaximal, characteristic, complemented
2C2×D13×#117C211yesmaximal, characteristic, complemented
3#13120533C211yesmaximal, characteristic, complemented
4#13120531C211yesmaximal, characteristic, complemented
5#13120522C211yesmaximal, characteristic, complemented
6#13120520C211yesmaximal, characteristic, complemented
7#13120440C211yesmaximal, characteristic, complemented
8#13120438C211yesmaximal, characteristic, complemented
9#13120432C211yesmaximal, characteristic, complemented
10#13120430C211yesmaximal, characteristic, complemented
11#13120314C211yesmaximal, characteristic, complemented
12#13120214C211yesmaximal, characteristic, complemented
13#13119992C211yesmaximal, characteristic, complemented
14#13119765C211yesmaximal, characteristic
15#13118242C211yesmaximal, characteristic, complemented
16#13118240C211yesmaximal, characteristic, complemented
17#13118220C211yesmaximal, characteristic, complemented
18#13118218C211yesmaximal, characteristic, complemented
19#13118112C211yesmaximal, characteristic, complemented
20#13118110C211yesmaximal, characteristic, complemented
21#13118080C211yesmaximal, characteristic, complemented
22#13118078C211yesmaximal, characteristic, complemented
23C4×#88148C211yesmaximal, characteristic, complemented
24C4×#88137C211yesmaximal, characteristic, complemented
25C4×#88136C211yesmaximal, characteristic, complemented
26C4×#88191C211yesmaximal, characteristic, complemented
27#13117300C211yesmaximal, characteristic, complemented
28#13117295C211yesmaximal, characteristic, complemented
29#13117295C211yesmaximal, characteristic, complemented
30C4×#88126C211yesmaximal, characteristic, complemented
31C13×#2293C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C13×#117C2211yescharacteristic
35C2×C13×#117C2211yescharacteristic, complemented
36C2×#88191C2211yescharacteristic
37C2×C4×C22⋊D13C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic, complemented
41C2×#88180C2211yescharacteristic
42#11719233—28no—
43D13×#117—28no—
44C2×#88152C2211yescharacteristic, complemented
45C2×#88150C2211yescharacteristic
46C2×#88148C2211yescharacteristic
47C2×#88148C2211yescharacteristic
48C2×#88146C2211yescharacteristic
49C2×#88146C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×#88143C2211yescharacteristic, complemented
53C2×#88139C2211yescharacteristic, complemented
54C2×#88138C2211yescharacteristic
55C2×#88137C2211yescharacteristic
56C2×#88137C2211yescharacteristic
57C2×#88136C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×#88133C2211yescharacteristic, complemented
61C2×#88131C2211yescharacteristic
62C2×#88131C2211yescharacteristic
63C2×C4×D52C2211yescharacteristic
64C2×C4×D52C2211yescharacteristic
65C2×#88126C2211yescharacteristic
66C2×#88126C2211yescharacteristic
67C2×#88126C2211yescharacteristic
68C2×#88126C2211yescharacteristic
69C2×#88126C2211yescharacteristic, complemented
70C2×C42×D13C2211yescharacteristic
71C2×C42×D13C2211yescharacteristic
72C2×C4×Dic26C2211yescharacteristic, complemented
73C13×#390C2211yescharacteristic
74C13×#390C2211yescharacteristic
75C13×#389C2211yescharacteristic, complemented
76C13×#389C2211yescharacteristic, complemented
77C13×#388C2211yescharacteristic
78C13×#388C2211yescharacteristic
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C4×C13×C4⋊C4C2211yescharacteristic, complemented
82C4×C13×C22⋊C4C2211yescharacteristic
83C4×C13×C22⋊C4C2211yescharacteristic, complemented
84C43×C13C2211yescharacteristic, complemented
85#11718884C2211yescharacteristic
86#11718883C2211yescharacteristic
87#11718881C2211yescharacteristic
88C4×C22⋊Dic13C2211yescharacteristic
89C4×C22⋊Dic13C2211yescharacteristic, complemented
90#11718655C2211yescharacteristic
91#11718655C2211yescharacteristic, complemented
92#11718653C2211yescharacteristic
93#11718651C2211yescharacteristic
94#11718651C2211yescharacteristic
95#11718651C2211yescharacteristic, complemented
96#11718651C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718650C2211yescharacteristic
99#11718650C2211yescharacteristic
100#11718650C2211yescharacteristic
101#11718645C2211yescharacteristic, complemented
102#11718642C2211yescharacteristic, complemented
103#11718641C2211yescharacteristic, complemented
104#11718640C2211yescharacteristic, complemented
105#11718633C2211yescharacteristic, complemented
106#11718633C2211yescharacteristic, complemented
107#11718633C2211yescharacteristic, complemented
108#11718633C2211yescharacteristic, complemented
109#11718622C2211yescharacteristic, complemented
110#11718621C2211yescharacteristic
111#11718620C2211yescharacteristic
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic, complemented
114#11718619C2211yescharacteristic
115#11718618C2211yescharacteristic
116#11718618C2211yescharacteristic
117#11718618C2211yescharacteristic
118#11718618C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718616C2211yescharacteristic
124#11718613C2211yescharacteristic
125#11718612C2211yescharacteristic, complemented
126#11718611C2211yescharacteristic
127#11718610C2211yescharacteristic
128#11718609C2211yescharacteristic
129#11718609C2211yescharacteristic
130#11718609C2211yescharacteristic, complemented
131#11718609C2211yescharacteristic, complemented
132#11718608C2211yescharacteristic
133#11718607C2211yescharacteristic
134#11718606C2211yescharacteristic
135#11718606C2211yescharacteristic
136#11718606C2211yescharacteristic, complemented
137#11718606C2211yescharacteristic, complemented
138#11718606C2211yescharacteristic, complemented
139#11718601C2211yescharacteristic
140#11718601C2211yescharacteristic
141#11718601C2211yescharacteristic, complemented
142#11718601C2211yescharacteristic, complemented
143#11718600C2211yescharacteristic
144#11718600C2211yescharacteristic
145C4×#6103C2211yescharacteristic
146C4×#6103C2211yescharacteristic
147C4×#6103C2211yescharacteristic
148C4×#6103C2211yescharacteristic
149C4×#6103C2211yescharacteristic
150C4×#6103C2211yescharacteristic
151C4×#6103C2211yescharacteristic, complemented
152C4×#6103C2211yescharacteristic, complemented
153C4×C4⋊Dic13C2211yescharacteristic, complemented
154#11718593C2211yescharacteristic, complemented
155#11718593C2211yescharacteristic, complemented
156C4×#6101C2211yescharacteristic, complemented
157C4×#6101C2211yescharacteristic, complemented
158C4×#6101C2211yescharacteristic, complemented
159C4×#6101C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C4×#6101C2211yescharacteristic, complemented
162C42×Dic13C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718589C2211yescharacteristic, complemented
165#11718337C2211yescharacteristic
166#11718337C2211yescharacteristic, complemented
167#11718336C2211yescharacteristic
168#11718334C2211yescharacteristic
169#11718333C2211yescharacteristic
170#11718330C2211yescharacteristic, complemented
171#11718329C2211yescharacteristic
172#11718329C2211yescharacteristic
173#11718329C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic
176#11718326C2211yescharacteristic
177#11718325C2211yescharacteristic
178#11718325C2211yescharacteristic
179#11718322C2211yescharacteristic, complemented
180#11718321C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718318C2211yescharacteristic, complemented
183#11718318C2211yescharacteristic, complemented
184#11718318C2211yescharacteristic, complemented
185#11718317C2211yescharacteristic, complemented
186#11718316C2211yescharacteristic, complemented
187#11718315C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C23×Dic13C2311yescharacteristic
198C22×D52C2311yescharacteristic
199C22×D52C2311yescharacteristic
200C22×C4×D13—24no—
201C22×C4×D13—24no—
202C22×C4×D13—24no—
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C4×D4×C13—24no—
214C13×#117—24no—
215C13×#117—24no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
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
252#88191—24no—
253C4×C22⋊D13—24no—
254C4×C22⋊D13—24no—
255C4×C22⋊D13—24no—
256C4×C22⋊D13—24no—
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283#88180—24no—
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
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×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324#88152—24no—
325#88150—24no—
326#88148—24no—
327#88148—24no—
328#88146—24no—
329#88146—24no—
330C4⋊C4×D13—24no—
331C4⋊C4×D13—24no—
332#88143—24no—
333#88139—24no—
334#88138—24no—
335#88137—24no—
336#88137—24no—
337#88136—24no—
338C22⋊C4×D13—24no—
339C22⋊C4×D13—24no—
340#88133—24no—
341#88131—24no—
342#88131—24no—
343C4×D52—24no—
344C4×D52—24no—
345#88126—24no—
346#88126—24no—
347#88126—24no—
348#88126—24no—
349#88126—24no—
350C42×D13—24no—
351C42×D13D418yescomplemented
352C4×Dic26—24no—
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
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#34877—131nomaximal, Sylow
386C24×C13C2411yescharacteristic
387C24×C13C2411yescharacteristic
388C23×D13—22no—
389C23×D13—22no—
390C23×D13—22no—
391C23×D13—22no—
392C23×D13—22no—
393C23×D13—41no—
394C23×D13—41no—
395C23×D13C2411yescharacteristic
396C23×D13C2411yescharacteristic
397C23×D13C2411yescharacteristic
398C2×D4×C13—22no—
399C2×D4×C13—22no—
400C2×D4×C13—41no—
401C22×C4×C13—22no—
402C22×C4×C13—22no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—22no—
406C22×C4×C13#4114yes—
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
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—41no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13C2411yescharacteristic
436C22×Dic13C2411yescharacteristic
437C22×Dic13C2411yescharacteristic
438C22×Dic13C2411yescharacteristic
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C2×D52—22no—
449C2×D52—22no—
450C2×D52—22no—
451C2×D52—22no—
452C2×D52—22no—
453C2×D52—41no—
454C2×C4×D13—232no—
455C2×C4×D13—22no—
456C2×C4×D13—22no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
459C2×C4×D13—22no—
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—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13C2×D414yes—
479C2×C4×D13C2×D414yes—
480C2×C4×D13C2×D414yes—
481C2×C4×D13#4114yes—
482C2×Dic26—22no—
483C2×Dic26—41no—
484C2×Dic26—41no—
485C13×C4⋊C4—22no—
486C13×C4⋊C4—22no—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—22no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—22no—
491C13×C4⋊C4—41no—
492C13×C22⋊C4—22no—
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—41no—
501C13×C22⋊C4—41no—
502C42×C13—22no—
503C42×C13—22no—
504C42×C13—22no—
505C42×C13—22no—
506C42×C13—22no—
507C42×C13—22no—
508C42×C13—41no—
509C42×C13—41no—
510C42×C13C2×D414yes—
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—41no—
520C22⋊Dic13—41no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—22no—
530#6103—22no—
531#6103—22no—
532#6103—22no—
533#6103—22no—
534#6103—22no—
535#6103—22no—
536#6103—22no—
537#6103—22no—
538#6103—22no—
539#6103—22no—
540#6103—22no—
541#6103—41no—
542#6103—41no—
543#6103—41no—
544#6103—41no—
545#6103#4114yes—
546#6103#4114yes—
547C4⋊Dic13—22no—
548C4⋊Dic13—22no—
549C4⋊Dic13—22no—
550C4⋊Dic13—22no—
551C4⋊Dic13—22no—
552C4⋊Dic13—22no—
553C4⋊Dic13—41no—
554#6101—22no—
555#6101—22no—
556#6101—22no—
557#6101—22no—
558#6101—22no—
559#6101—22no—
560#6101—22no—
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—41no—
573#6101—41no—
574C4×Dic13—22no—
575C4×Dic13—22no—
576C4×Dic13—22no—
577C4×Dic13—22no—
578C4×Dic13—22no—
579C4×Dic13—22no—
580C4×Dic13—22no—
581C4×Dic13—22no—
582C4×Dic13—41no—
583C4×Dic13—41no—
584C4×Dic13C2×D414yes—
585C4×Dic13C2×D414yes—
586C4×Dic13C2×D414yes—
587C2×#529—131no—
588C22×#117—131no—
589#2611—131no—
590#2611—131no—
591#2610—131no—
592#2610—131no—
593#2601—131no—
594#2601—131no—
595#2601—131no—
596#2601—131no—
597#2591—131no—
598#2583—131no—
599#2561—131no—
600#2539—131no—
601#2413—131no—
602#2413—131no—
603#2411—131no—
604#2411—131no—
605#2396—131no—
606#2396—131no—
607#2392—131no—
608#2392—131no—
609C4×#123—131no—
610C4×#123—131no—
611C4×#120—131no—
612C4×#120—131no—
613#2293—131no—
614#2293—131no—
615#2293—131no—
616#2293D1311yescharacteristic, complemented
617C4×#117—131no—
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×C13C2×#4112yes—
632C23×C13C2511yescharacteristic
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—28no—
638C22×D13—21no—
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—21no—
650C22×D13—21no—
651C22×D13—44no—
652C22×D13—44no—
653C22×D13—44no—
654C22×D13—44no—
655C22×D13—44no—
656C22×D13—44no—
657C22×D13C22×D412yes—
658C22×D13C2×#4112yes—
659C22×D13C2×#4112yes—
660C22×D13C2×#4112yes—
661D4×C13—44no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
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—28no—
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—44no—
695C2×C4×C13C22×D412yes—
696C2×C4×C13C22×D412yes—
697C2×C4×C13C22×D412yes—
698C2×C4×C13C2×#4112yes—
699C2×C4×C13C2×#4112yes—
700C2×C4×C13C2×#4112yes—
701C2×C4×C13C2×#4112yes—
702C2×C4×C13C2×#4112yes—
703C22⋊D13—44no—
704C22⋊D13—44no—
705C22⋊D13—44no—
706C22⋊D13—44no—
707C2×Dic13—28no—
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×Dic13C22×D412yes—
742C2×Dic13C22×D412yes—
743C2×Dic13C22×D412yes—
744C2×Dic13C2×#4112yes—
745C2×Dic13C2×#4112yes—
746C2×Dic13C2×#4112yes—
747D52—44no—
748D52—44no—
749C4×D13—28no—
750C4×D13—28no—
751C4×D13—28no—
752C4×D13—28no—
753C4×D13—28no—
754C4×D13—44no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758Dic26—44no—
759C24×C4—131no—
760#529—268no—
761C2×#126—131no—
762C2×#126—131no—
763C2×#125—131no—
764C2×#124—131no—
765C2×#123—131no—
766C2×#123—131no—
767C2×#123—131no—
768C2×#123—131no—
769C2×C22⋊Q8—131no—
770C2×#121—131no—
771C2×#120—131no—
772C2×#120—131no—
773C2×C4×Q8—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C2×C4×D4—131no—
778C2×C4×D4—131no—
779C2×C4×D4—131no—
780C2×C4×D4C2×D1311yescharacteristic
781C2×#117—131no—
782C2×#117—131no—
783C2×#117—131no—
784C2×#117—131no—
785C2×#117—131no—
786C2×#117—131no—
787C2×#117—131no—
788C2×#117—131no—
789C2×#117—131no—
790C2×#117—131no—
791C2×#117—268no—
792C2×#117C2×D1311yescharacteristic
793C2×#117C2×D1311yescharacteristic, complemented
794C22×C4⋊C4—131no—
795C22×C4⋊C4—131no—
796C22×C22⋊C4—131no—
797C22×C22⋊C4—131no—
798C22×C42—131no—
799C22×C42—131no—
800#400—131no—
801#400—131no—
802#399—131no—
803#399—131no—
804#398—131no—
805#398—131no—
806#398—131no—
807#398—131no—
808#398—131no—
809#398—131no—
810#397—131no—
811#397—131no—
812#396—131no—
813#396—131no—
814#396—131no—
815#396—131no—
816#396—131no—
817#396—131no—
818#396—131no—
819#396—131no—
820#395—131no—
821#395—131no—
822#394—131no—
823#394—131no—
824#394—131no—
825#394—131no—
826#394—131no—
827#394—131no—
828#393—131no—
829#393—131no—
830#392—131no—
831#392—131no—
832#390—131no—
833#390—131no—
834#390—131no—
835#390—131no—
836#390—131no—
837#390—131no—
838#390C2×D1311yescharacteristic
839#390C2×D1311yescharacteristic
840#389—131no—
841#389—131no—
842#389—131no—
843#389—131no—
844#389—131no—
845#389—131no—
846#389C2×D1311yescharacteristic, complemented
847#389C2×D1311yescharacteristic, complemented
848#388—131no—
849#388—131no—
850#388—131no—
851#388—131no—
852#388—131no—
853#388—131no—
854#388—131no—
855#388—131no—
856#388—131no—
857#388—131no—
858#388—131no—
859#388—131no—
860#388—131no—
861#388—131no—
862#388—131no—
863#388—131no—
864#388C2×D1311yescharacteristic
865#388C2×D1311yescharacteristic
866#388C2×D1311yescharacteristic, complemented
867#388C2×D1311yescharacteristic, complemented
868#387—131no—
869#387—131no—
870#387—131no—
871#387—131no—
872#386—131no—
873#386—131no—
874#386—131no—
875#386—131no—
876#386—131no—
877#386—131no—
878#386—131no—
879#386—131no—
880#385—131no—
881#385—131no—
882#385—131no—
883#385—131no—
884#385—131no—
885#385—131no—
886#385—131no—
887#385—131no—
888#381—131no—
889#381—131no—
890#379—131no—
891#379—131no—
892C4×C4⋊C4—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4—131no—
895C4×C4⋊C4—131no—
896C4×C4⋊C4—131no—
897C4×C4⋊C4—131no—
898C4×C4⋊C4—131no—
899C4×C4⋊C4C2×D1311yescharacteristic, complemented
900C4×C22⋊C4—131no—
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⋊C4C2×D1311yescharacteristic
911C4×C22⋊C4C2×D1311yescharacteristic, complemented
912#376—131no—
913#376—131no—
914C43—131no—
915C43C2×D1311yescharacteristic, complemented
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
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×C13C23×D411yescharacteristic
931C22×C13C22×#4111yescharacteristic
932C22×C13C22×#4111yescharacteristic
933C22×C13C22×#4111yescharacteristic
934C22×C13C22×#4111yescharacteristic
935C22×C13#58511yescharacteristic
936C22×C13#58511yescharacteristic
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—416no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13—41no—
953C2×D13—41no—
954C2×D13—41no—
955C2×D13—41no—
956C2×D13—41no—
957C2×D13—41no—
958C2×D13#53214yes—
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13#52514yes—
972Dic13—22no—
973Dic13—22no—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—22no—
978Dic13—41no—
979Dic13—41no—
980Dic13—41no—
981Dic13—41no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985C25—131no—
986C22×Q8—131no—
987C22×D4—131no—
988C22×D4—131no—
989C22×D4—131no—
990C22×D4—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4C22×D1311yescharacteristic
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—131no—
1000C23×C4—131no—
1001C23×C4—131no—
1002C23×C4—131no—
1003C23×C4—131no—
1004C23×C4—264no—
1005C23×C4—264no—
1006C23×C4—264no—
1007C23×C4C22×D1311yescharacteristic
1008C23×C4C22×D1311yescharacteristic
1009#126—264no—
1010#126—264no—
1011#125—264no—
1012#124—264no—
1013#123—264no—
1014#123—264no—
1015#123—264no—
1016#123—264no—
1017C22⋊Q8—264no—
1018#121—264no—
1019#120—264no—
1020#120—264no—
1021C4×Q8—264no—
1022C4×D4—24no—
1023C4×D4—264no—
1024C4×D4—264no—
1025C4×D4—264no—
1026C4×D4—264no—
1027C4×D4—264no—
1028C4×D4—264no—
1029#117—24no—
1030#117—24no—
1031#117—264no—
1032#117—264no—
1033#117—264no—
1034#117—264no—
1035#117—264no—
1036#117—264no—
1037#117—264no—
1038#117—264no—
1039#117—264no—
1040#117—264no—
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⋊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—264no—
1069C2×C4⋊C4—264no—
1070C2×C4⋊C4C22×D1311yescharacteristic
1071C2×C4⋊C4C22×D1311yescharacteristic
1072C2×C4⋊C4C22×D1311yescharacteristic
1073C2×C4⋊C4C22×D1311yescharacteristic
1074C2×C4⋊C4C22×D1311yescharacteristic
1075C2×C4⋊C4C22×D1311yescharacteristic
1076C2×C4⋊C4C22×D1311yescharacteristic
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—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—264no—
1114C2×C22⋊C4—264no—
1115C2×C22⋊C4C22×D1311yescharacteristic
1116C2×C22⋊C4C22×D1311yescharacteristic
1117C2×C22⋊C4C22×D1311yescharacteristic
1118C2×C22⋊C4C22×D1311yescharacteristic
1119C2×C22⋊C4C22×D1311yescharacteristic
1120C2×C22⋊C4C22×D1311yescharacteristic
1121C2×C22⋊C4C22×D1311yescharacteristic
1122C2×C22⋊C4C22×D1311yescharacteristic
1123C2×C22⋊C4C22×D1311yescharacteristic
1124C2×C22⋊C4C22×D1311yescharacteristic
1125C2×C42—131no—
1126C2×C42—131no—
1127C2×C42—131no—
1128C2×C42—138no—
1129C2×C42—131no—
1130C2×C42—131no—
1131C2×C42—131no—
1132C2×C42—131no—
1133C2×C42—131no—
1134C2×C42—131no—
1135C2×C42—131no—
1136C2×C42—131no—
1137C2×C42—131no—
1138C2×C42—131no—
1139C2×C42—264no—
1140C2×C42C22×D1311yescharacteristic
1141C2×C42C22×D1311yescharacteristic
1142C2×C42C22×D1311yescharacteristic
1143C2×C42C22×D1311yescharacteristic
1144C2×C42C22×D1311yescharacteristic
1145C2×C42C22×D1311yescharacteristic
1146C2×C42C22×D1311yescharacteristic
1147C2×C42C22×D1311yescharacteristic
1148C2×C42C22×D1311yescharacteristic
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#95C22×D1311yescharacteristic
1176#95C22×D1311yescharacteristic
1177#95C22×D1311yescharacteristic
1178#95C22×D1311yescharacteristic
1179#95C22×D1311yescharacteristic
1180#95C22×D1311yescharacteristic
1181C2×C13—42no—
1182C2×C13—81no—
1183C2×C13C2×#52511yescharacteristic
1184C2×C13C2×#53211yescharacteristic
1185C2×C13#344911yescharacteristic
1186C2×C13#347511yescharacteristic
1187C2×C13#347511yescharacteristic
1188C2×C13#347511yescharacteristic
1189C2×C13#347511yescharacteristic
1190D13—24no—
1191D13—42no—
1192D13—81no—
1193C24—131no—
1194C24—131no—
1195C24—131no—
1196C24—262no—
1197C24—262no—
1198C24—262no—
1199C24—262no—
1200C24—262no—
1201C24—521no—
1202C24—521no—
1203C24C23×D1311yescharacteristic
1204C24C23×D1311yescharacteristic
1205C2×Q8—262no—
1206C2×Q8—521no—
1207C2×Q8—521no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—262no—
1212C2×D4—262no—
1213C2×D4—262no—
1214C2×D4—262no—
1215C2×D4—262no—
1216C2×D4—262no—
1217C2×D4—262no—
1218C2×D4—262no—
1219C2×D4—262no—
1220C2×D4—262no—
1221C2×D4—262no—
1222C2×D4—262no—
1223C2×D4—262no—
1224C2×D4—521no—
1225C2×D4—521no—
1226C2×D4—521no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—134no—
1241C22×C4—134no—
1242C22×C4—134no—
1243C22×C4—134no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—131no—
1247C22×C4—131no—
1248C22×C4—131no—
1249C22×C4—131no—
1250C22×C4—131no—
1251C22×C4—262no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—262no—
1255C22×C4—262no—
1256C22×C4—262no—
1257C22×C4—2632no—
1258C22×C4—262no—
1259C22×C4—262no—
1260C22×C4—262no—
1261C22×C4—262no—
1262C22×C4—262no—
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—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4—521no—
1278C22×C4#612714yes—
1279C22×C4C23×D1311yescharacteristic
1280C22×C4C23×D1311yescharacteristic
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—262no—
1300C4⋊C4—262no—
1301C4⋊C4—262no—
1302C4⋊C4—262no—
1303C4⋊C4—262no—
1304C4⋊C4—262no—
1305C4⋊C4—262no—
1306C4⋊C4—262no—
1307C4⋊C4—262no—
1308C4⋊C4—262no—
1309C4⋊C4—262no—
1310C4⋊C4—262no—
1311C4⋊C4—262no—
1312C4⋊C4—262no—
1313C4⋊C4—262no—
1314C4⋊C4—262no—
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—521no—
1324C4⋊C4—521no—
1325C4⋊C4—521no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—134no—
1337C22⋊C4—134no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—262no—
1348C22⋊C4—262no—
1349C22⋊C4—262no—
1350C22⋊C4—262no—
1351C22⋊C4—262no—
1352C22⋊C4—262no—
1353C22⋊C4—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—262no—
1366C22⋊C4—521no—
1367C22⋊C4—521no—
1368C22⋊C4—521no—
1369C22⋊C4—521no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—41no—
1379C42—41no—
1380C42—134no—
1381C42—134no—
1382C42—134no—
1383C42—262no—
1384C42—262no—
1385C42—262no—
1386C42—262no—
1387C42—262no—
1388C42—262no—
1389C42—262no—
1390C42—262no—
1391C42—521no—
1392C42—521no—
1393C42D4×D1314yes—
1394C13#3487711yescharacteristic, complemented, Sylow
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—132no—
1409C23—132no—
1410C23—132no—
1411C23—132no—
1412C23—268no—
1413C23—261no—
1414C23—261no—
1415C23—261no—
1416C23—261no—
1417C23—261no—
1418C23—261no—
1419C23—261no—
1420C23—261no—
1421C23—261no—
1422C23—261no—
1423C23—261no—
1424C23—261no—
1425C23—261no—
1426C23—261no—
1427C23—261no—
1428C23—261no—
1429C23—261no—
1430C23—524no—
1431C23—524no—
1432C23—524no—
1433C23—524no—
1434C23—524no—
1435C23—524no—
1436C23C2×#612712yes—
1437C23C24×D1311yescharacteristic
1438Q8—524no—
1439D4—44no—
1440D4—524no—
1441D4—524no—
1442D4—524no—
1443D4—524no—
1444D4—524no—
1445D4—524no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—28no—
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—44no—
1479C2×C4—132no—
1480C2×C4—132no—
1481C2×C4—132no—
1482C2×C4—132no—
1483C2×C4—132no—
1484C2×C4—132no—
1485C2×C4—268no—
1486C2×C4—268no—
1487C2×C4—268no—
1488C2×C4—268no—
1489C2×C4—261no—
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—268no—
1502C2×C4—268no—
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—524no—
1525C2×C4—524no—
1526C2×C4—524no—
1527C2×C4—524no—
1528C2×C4C2×#612712yes—
1529C2×C4C2×#612712yes—
1530C2×C4C2×D4×D1312yes—
1531C2×C4C2×D4×D1312yes—
1532C2×C4C2×D4×D1312yes—
1533C2×C4#41×D1312yes—
1534C2×C4#41×D1312yes—
1535C2×C4#41×D1312yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—134no—
1551C22—262no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—262no—
1559C22—262no—
1560C22—5216no—
1561C22—521no—
1562C22—521no—
1563C22—521no—
1564C22—521no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22C22×#612711yescharacteristic
1573C22C22×D4×D1311yescharacteristic
1574C22C2×#41×D1311yescharacteristic
1575C22C2×#41×D1311yescharacteristic
1576C22C2×#41×D1311yescharacteristic
1577C22#1171964811yescharacteristic
1578C22#1171964811yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—262no—
1592C4—262no—
1593C4—262no—
1594C4—262no—
1595C4—262no—
1596C4—262no—
1597C4—521no—
1598C4—521no—
1599C4—521no—
1600C4—521no—
1601C4—521no—
1602C4—521no—
1603C4—521no—
1604C4#1171925214yes—
1605C2—42no—
1606C2—81no—
1607C2—264no—
1608C2—522no—
1609C2—1041no—
1610C2C2×#1171925211yescharacteristic
1611C2D13×#53211yescharacteristic
1612C2#1312816311yescharacteristic
1613C2#1312838811yescharacteristic
1614C2#1312839011yescharacteristic
1615C2#1312839211yescharacteristic
1616C2#1312840011yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2293C2
prime radical#13119765C2
hypercenter#2293D13
hypocenterC13#34877
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2293

Complements

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

NH ≅ G/Ntype
1. C2×#11719233C2semidirect
2. C2×D13×#117C2semidirect
3. #13120533C2semidirect
4. #13120531C2semidirect
5. #13120522C2semidirect
6. #13120520C2semidirect
7. #13120440C2semidirect
8. #13120438C2semidirect
9. #13120432C2semidirect
10. #13120430C2semidirect
11. #13120314C2semidirect
12. #13120214C2semidirect
13. #13119992C2semidirect
15. #13118242C2semidirect
16. #13118240C2semidirect
17. #13118220C2semidirect
18. #13118218C2semidirect
19. #13118112C2semidirect
20. #13118110C2semidirect
21. #13118080C2semidirect
22. #13118078C2semidirect
23. C4×#88148C2semidirect
24. C4×#88137C2semidirect
25. C4×#88136C2semidirect
26. C4×#88191C2semidirect
27. #13117300C2semidirect
28. #13117295C2semidirect
29. #13117295C2semidirect
30. C4×#88126C2semidirect
31. C13×#2293C2semidirect
35. C2×C13×#117C22semidirect
40. C2×C4×C22⋊D13C22semidirect
44. C2×#88152C22semidirect
52. C2×#88143C22semidirect
53. C2×#88139C22semidirect
60. C2×#88133C22semidirect
69. C2×#88126C22semidirect
72. C2×C4×Dic26C22semidirect
75. C13×#389C22semidirect
76. C13×#389C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
81. C4×C13×C4⋊C4C22semidirect
83. C4×C13×C22⋊C4C22semidirect
84. C43×C13C22semidirect
89. C4×C22⋊Dic13C22semidirect
91. #11718655C22semidirect
95. #11718651C22semidirect
96. #11718651C22semidirect
97. #11718651C22semidirect
101. #11718645C22semidirect
102. #11718642C22semidirect
103. #11718641C22semidirect
104. #11718640C22semidirect
105. #11718633C22semidirect
106. #11718633C22semidirect
107. #11718633C22semidirect
108. #11718633C22semidirect
109. #11718622C22semidirect
113. #11718620C22semidirect
125. #11718612C22semidirect
130. #11718609C22semidirect
131. #11718609C22semidirect
136. #11718606C22semidirect
137. #11718606C22semidirect
138. #11718606C22semidirect
141. #11718601C22semidirect
142. #11718601C22semidirect
151. C4×#6103C22semidirect
152. C4×#6103C22semidirect
153. C4×C4⋊Dic13C22semidirect
154. #11718593C22semidirect
155. #11718593C22semidirect
156. C4×#6101C22semidirect
157. C4×#6101C22semidirect
158. C4×#6101C22semidirect
159. C4×#6101C22semidirect
160. C4×#6101C22semidirect
161. C4×#6101C22semidirect
162. C42×Dic13C22semidirect
163. #11718589C22semidirect
164. #11718589C22semidirect
166. #11718337C22semidirect
170. #11718330C22semidirect
179. #11718322C22semidirect
180. #11718321C22semidirect
181. #11718319C22semidirect
182. #11718318C22semidirect
183. #11718318C22semidirect
184. #11718318C22semidirect
185. #11718317C22semidirect
186. #11718316C22semidirect
187. #11718315C22semidirect
188. #11718313C22semidirect
351. C42×D13D4semidirect
616. #2293D13semidirect
793. C2×#117C2×D13semidirect
846. #389C2×D13semidirect
847. #389C2×D13semidirect
866. #388C2×D13semidirect
867. #388C2×D13semidirect
899. C4×C4⋊C4C2×D13semidirect
911. C4×C22⋊C4C2×D13semidirect
915. C43C2×D13semidirect
1394. C13#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#117192332
C2×D13×#1172
#131205332
#131205312
#131205222
#131205202
#131204402
#131204382
#131204322
#131204302
#131203142
#131202142
#131199922
#131197652
#131182422
#131182402
#131182202
#131182182
#131181122
#131181102
#131180802
#131180782
C4×#881482
C4×#881372
C4×#881362
C4×#881912
#131173002
#131172952
C4×#881262
C13×#22932
#3487713