Finite Group Databasebeta

← #16031718

Subgroups — #16031718

Order 3328.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719243C211yesmaximal, characteristic, complemented
2C2×D13×#117C211yesmaximal, characteristic, complemented
3#13119090C211yesmaximal, characteristic, complemented
4#13119075C211yesmaximal, characteristic, complemented
5#13119060C211yesmaximal, characteristic, complemented
6#13119045C211yesmaximal, characteristic, complemented
7#13119030C211yesmaximal, characteristic, complemented
8#13119015C211yesmaximal, characteristic, complemented
9#13119000C211yesmaximal, characteristic, complemented
10#13118985C211yesmaximal, characteristic, complemented
11#13118970C211yesmaximal, characteristic, complemented
12#13118955C211yesmaximal, characteristic, complemented
13#13118940C211yesmaximal, characteristic, complemented
14#13118925C211yesmaximal, characteristic, complemented
15#13118648C211yesmaximal, characteristic, complemented
16#13118566C211yesmaximal, characteristic, complemented
17#13118373C211yesmaximal, characteristic
18#13118291C211yesmaximal, characteristic, complemented
19#13118112C211yesmaximal, characteristic, complemented
20#13118093C211yesmaximal, characteristic, complemented
21#13118080C211yesmaximal, characteristic, complemented
22C4×#88150C211yesmaximal, characteristic, complemented
23C4×#88138C211yesmaximal, characteristic, complemented
24C4×#88136C211yesmaximal, characteristic, complemented
25C4×#88191C211yesmaximal, characteristic, complemented
26#13117332C211yesmaximal, characteristic, complemented
27#13117297C211yesmaximal, characteristic, complemented
28#13117277C211yesmaximal, characteristic, complemented
29#13117275C211yesmaximal, characteristic, complemented
30C4×#88135C211yesmaximal, characteristic, complemented
31C13×#2395C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C13×#117C2211yescharacteristic
35C2×#88193C2211yescharacteristic
36C2×#88191C2211yescharacteristic
37C2×#88189C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic, complemented
42C2×#88180C2211yescharacteristic
43C22×C4×Dic13C2211yescharacteristic, complemented
44#11719243—28no—
45D13×#117—28no—
46C2×#88152C2211yescharacteristic, complemented
47C2×#88150C2211yescharacteristic
48C2×#88146C2211yescharacteristic
49C2×#88146C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×#88143C2211yescharacteristic, complemented
53C2×#88140C2211yescharacteristic, complemented
54C2×#88139C2211yescharacteristic
55C2×#88138C2211yescharacteristic
56C2×#88136C2211yescharacteristic
57C2×#88135C2211yescharacteristic
58C2×#88135C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×#88133C2211yescharacteristic
62C2×#88132C2211yescharacteristic, complemented
63C2×#88131C2211yescharacteristic
64C2×#88131C2211yescharacteristic
65C2×C4×D52C2211yescharacteristic
66C2×C4×D52C2211yescharacteristic
67C2×#88126C2211yescharacteristic
68C2×#88126C2211yescharacteristic
69C2×#88126C2211yescharacteristic, complemented
70C2×C42×D13C2211yescharacteristic
71C2×C42×D13C2211yescharacteristic
72C2×C4×Dic26C2211yescharacteristic, complemented
73C13×#400C2211yescharacteristic, complemented
74C13×#399C2211yescharacteristic, complemented
75C13×#398C2211yescharacteristic, complemented
76C13×#397C2211yescharacteristic
77C13×#397C2211yescharacteristic
78C13×#397C2211yescharacteristic, complemented
79C13×#394C2211yescharacteristic
80C13×#394C2211yescharacteristic
81C4×C13×C4⋊C4C2211yescharacteristic, complemented
82C4×C13×C4⋊C4C2211yescharacteristic, complemented
83C4×C13×C22⋊C4C2211yescharacteristic
84C4×C13×C22⋊C4C2211yescharacteristic, complemented
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86#11718881C2211yescharacteristic
87C4×C22⋊Dic13C2211yescharacteristic
88#11718655C2211yescharacteristic
89#11718654C2211yescharacteristic, complemented
90#11718653C2211yescharacteristic
91#11718653C2211yescharacteristic, complemented
92#11718651C2211yescharacteristic, complemented
93#11718651C2211yescharacteristic, complemented
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic
97#11718650C2211yescharacteristic
98#11718650C2211yescharacteristic
99#11718649C2211yescharacteristic
100#11718649C2211yescharacteristic
101#11718643C2211yescharacteristic, complemented
102#11718642C2211yescharacteristic, complemented
103#11718641C2211yescharacteristic, complemented
104#11718641C2211yescharacteristic, complemented
105#11718640C2211yescharacteristic, complemented
106#11718634C2211yescharacteristic, complemented
107#11718634C2211yescharacteristic, complemented
108#11718633C2211yescharacteristic, complemented
109#11718621C2211yescharacteristic
110#11718620C2211yescharacteristic
111#11718620C2211yescharacteristic
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic, complemented
114#11718619C2211yescharacteristic
115#11718619C2211yescharacteristic
116#11718619C2211yescharacteristic
117#11718618C2211yescharacteristic, complemented
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718616C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718613C2211yescharacteristic
124#11718613C2211yescharacteristic
125#11718612C2211yescharacteristic, complemented
126#11718611C2211yescharacteristic
127#11718609C2211yescharacteristic, complemented
128#11718607C2211yescharacteristic
129#11718607C2211yescharacteristic, complemented
130#11718607C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic
132#11718606C2211yescharacteristic
133#11718605C2211yescharacteristic
134#11718605C2211yescharacteristic
135C22⋊C4×Dic13C2211yescharacteristic, complemented
136C22⋊C4×Dic13C2211yescharacteristic, complemented
137C4×#6103C2211yescharacteristic
138C4×#6103C2211yescharacteristic
139C4×#6103C2211yescharacteristic
140C4×#6103C2211yescharacteristic
141C4×#6103C2211yescharacteristic, complemented
142C4×#6103C2211yescharacteristic, complemented
143#11718593C2211yescharacteristic, complemented
144C4×#6101C2211yescharacteristic, complemented
145C4×#6101C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147C4×#6101C2211yescharacteristic, complemented
148C42×Dic13C2211yescharacteristic, complemented
149#11718337C2211yescharacteristic
150#11718337C2211yescharacteristic, complemented
151#11718336C2211yescharacteristic
152#11718334C2211yescharacteristic
153#11718333C2211yescharacteristic
154#11718330C2211yescharacteristic
155#11718330C2211yescharacteristic
156#11718330C2211yescharacteristic
157#11718330C2211yescharacteristic
158#11718330C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic, complemented
160#11718330C2211yescharacteristic, complemented
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic
163#11718329C2211yescharacteristic
164#11718328C2211yescharacteristic
165#11718328C2211yescharacteristic
166#11718327C2211yescharacteristic
167#11718327C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173#11718319C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718318C2211yescharacteristic, complemented
176#11718315C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718314C2211yescharacteristic, complemented
181#11718314C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718310C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, 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
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C22×D52C2311yescharacteristic
201C22×D52C2311yescharacteristic
202C22×C4×D13—24no—
203C22×C4×D13—24no—
204C22×C4×D13—24no—
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×Dic26C2311yescharacteristic
215C4×D4×C13—24no—
216C13×#117—24no—
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×C4⋊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×C13×C22⋊C4C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247#88193—24no—
248#88191—24no—
249#88189—24no—
250C4×C22⋊D13—24no—
251C4×C22⋊D13—24no—
252C4×C22⋊D13—24no—
253C4×C22⋊D13—24no—
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
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
280#88180D418yescomplemented
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
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×#6101C2311yescharacteristic
306C2×C4×Dic13—24no—
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
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322#88152—24no—
323#88150—24no—
324#88146—24no—
325#88146—24no—
326C4⋊C4×D13—24no—
327C4⋊C4×D13—24no—
328#88143—24no—
329#88140—24no—
330#88139—24no—
331#88138—24no—
332#88136—24no—
333#88135—24no—
334#88135—24no—
335C22⋊C4×D13—24no—
336C22⋊C4×D13—24no—
337#88133—24no—
338#88132—24no—
339#88131—24no—
340#88131—24no—
341C4×D52—24no—
342C4×D52—24no—
343#88126—24no—
344#88126—24no—
345#88126—24no—
346C42×D13—24no—
347C42×D13—24no—
348C4×Dic26—24no—
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
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#34740—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×C13C2×D414yes—
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#4114yes—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C2×D52—22no—
455C2×D52—22no—
456C2×D52—22no—
457C2×D52—22no—
458C2×D52—22no—
459C2×D52—41no—
460C2×C4×D13—232no—
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—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—41no—
483C2×C4×D13—41no—
484C2×C4×D13—41no—
485C2×C4×D13—41no—
486C2×C4×D13#4114yes—
487C2×C4×D13#4114yes—
488C2×Dic26—22no—
489C2×Dic26—22no—
490C2×Dic26—41no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—22no—
495C13×C4⋊C4—41no—
496C13×C4⋊C4—41no—
497C13×C4⋊C4—41no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C42×C13—22no—
509C42×C13—22no—
510C42×C13—22no—
511C42×C13—22no—
512C42×C13—22no—
513C22⋊Dic13—22no—
514C22⋊Dic13—22no—
515C22⋊Dic13—22no—
516C22⋊Dic13—22no—
517C22⋊Dic13—22no—
518C22⋊Dic13—41no—
519C22⋊Dic13C2×D414yes—
520C22⋊Dic13C2×D414yes—
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—41no—
546#6103#4114yes—
547C4⋊Dic13—22no—
548C4⋊Dic13—22no—
549C4⋊Dic13—22no—
550C4⋊Dic13C2×D414yes—
551C4⋊Dic13C2×D414yes—
552#6101—22no—
553#6101—22no—
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—41no—
570#6101—41no—
571#6101—41no—
572C4×Dic13—22no—
573C4×Dic13—22no—
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—22no—
583C4×Dic13—41no—
584C4×Dic13—41no—
585C4×Dic13C2×D414yes—
586C4×Dic13C2×D414yes—
587C2×#529—131no—
588C22×#117—131no—
589#2481—131no—
590#2480—131no—
591#2479—131no—
592#2478—131no—
593#2477—131no—
594#2476—131no—
595#2475—131no—
596#2474—131no—
597#2473—131no—
598#2472—131no—
599#2471—131no—
600#2470—131no—
601#2449—131no—
602#2443—131no—
603#2424—131no—
604#2418—131no—
605#2396—131no—
606#2395—131no—
607#2395D1311yescharacteristic, complemented
608#2392—131no—
609C4×C22⋊Q8—131no—
610C4×#121—131no—
611C4×#120—131no—
612C4×#120—131no—
613#2298—131no—
614#2293—131no—
615#2290—131no—
616#2290—131no—
617C42×D4—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×C13C22×D412yes—
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×D13C2×#4112yes—
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—28no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—44no—
698C2×C4×C13C22×D412yes—
699C2×C4×C13C22×D412yes—
700C2×C4×C13C2×#4112yes—
701C2×C4×C13C2×#4112yes—
702C2×C4×C13C2×#4112yes—
703C22⋊D13—28no—
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—44no—
740C2×Dic13—44no—
741C2×Dic13C22×D412yes—
742C2×Dic13C22×D412yes—
743C2×Dic13C22×D412yes—
744C2×Dic13C22×D412yes—
745C2×Dic13C2×#4112yes—
746C2×Dic13C2×#4112yes—
747C2×Dic13C2×#4112yes—
748C2×Dic13C2×#4112yes—
749D52—44no—
750D52—44no—
751C4×D13—28no—
752C4×D13—28no—
753C4×D13—28no—
754C4×D13—28no—
755C4×D13—44no—
756C4×D13—44no—
757C4×D13—44no—
758C4×D13—44no—
759C4×D13—44no—
760Dic26—44no—
761C24×C4—131no—
762#529—268no—
763C2×#126—131no—
764C2×#126—131no—
765C2×#125—131no—
766C2×#124—131no—
767C2×#123—131no—
768C2×#123—131no—
769C2×C22⋊Q8—131no—
770C2×C22⋊Q8—131no—
771C2×#121—131no—
772C2×#121—131no—
773C2×#120—131no—
774C2×#120—131no—
775C2×C4×Q8—131no—
776C2×C4×D4—131no—
777C2×C4×D4—131no—
778C2×C4×D4—131no—
779C2×C4×D4—131no—
780C2×C4×D4—131no—
781C2×C4×D4—131no—
782C2×C4×D4—131no—
783C2×C4×D4—131no—
784C2×C4×D4C2×D1311yescharacteristic
785C2×#117—131no—
786C2×#117—131no—
787C2×#117—131no—
788C2×#117—131no—
789C2×#117—131no—
790C2×#117—131no—
791C2×#117—131no—
792C2×#117—131no—
793C2×#117—268no—
794C2×#117C2×D1311yescharacteristic
795C22×C4⋊C4—131no—
796C22×C4⋊C4—131no—
797C22×C22⋊C4—131no—
798C22×C22⋊C4—131no—
799C22×C42—131no—
800C22×C42—131no—
801C22×C42—131no—
802#400—131no—
803#400—131no—
804#400C2×D1311yescharacteristic, complemented
805#399—131no—
806#399—131no—
807#399C2×D1311yescharacteristic, complemented
808#398—131no—
809#398—131no—
810#398—131no—
811#398—131no—
812#398C2×D1311yescharacteristic, complemented
813#397—131no—
814#397—131no—
815#397—131no—
816#397—131no—
817#397C2×D1311yescharacteristic
818#397C2×D1311yescharacteristic
819#397C2×D1311yescharacteristic, complemented
820#396—131no—
821#396—131no—
822#396—131no—
823#396—131no—
824#395—131no—
825#394—131no—
826#394—131no—
827#394—131no—
828#394—131no—
829#394—131no—
830#394C2×D1311yescharacteristic
831#394C2×D1311yescharacteristic
832#393—131no—
833#392—131no—
834#391—131no—
835#390—131no—
836#390—131no—
837#390—131no—
838#389—131no—
839#389—131no—
840#389—131no—
841#389—131no—
842#388—131no—
843#388—131no—
844#388—131no—
845#388—131no—
846#388—131no—
847#388—131no—
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#387—131no—
857#387—131no—
858#387—131no—
859#387—131no—
860#387—131no—
861#387—131no—
862#387—131no—
863#387—131no—
864#387—131no—
865#387—131no—
866#386—131no—
867#386—131no—
868#386—131no—
869#386—131no—
870#386—131no—
871#386—131no—
872#386—131no—
873#386—131no—
874#386—131no—
875#386—131no—
876#386—131no—
877#386—131no—
878#385—131no—
879#385—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#385—131no—
889#385—131no—
890#380—131no—
891#380—131no—
892#379—131no—
893#379—131no—
894C4×C4⋊C4—131no—
895C4×C4⋊C4—131no—
896C4×C4⋊C4—131no—
897C4×C4⋊C4—131no—
898C4×C4⋊C4—131no—
899C4×C4⋊C4—131no—
900C4×C4⋊C4C2×D1311yescharacteristic, complemented
901C4×C4⋊C4C2×D1311yescharacteristic, complemented
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—
912C4×C22⋊C4—131no—
913C4×C22⋊C4C2×D1311yescharacteristic
914C4×C22⋊C4C2×D1311yescharacteristic, complemented
915C4×C22⋊C4C2×D1311yescharacteristic, complemented
916#376—131no—
917C43—131no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13C23×D411yescharacteristic
933C22×C13C22×#4111yescharacteristic
934C22×C13C22×#4111yescharacteristic
935C22×C13C22×#4111yescharacteristic
936C22×C13C22×#4111yescharacteristic
937C22×C13#58511yescharacteristic
938C22×C13#58511yescharacteristic
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—22no—
948C2×D13—416no—
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—41no—
959C2×D13—41no—
960C2×D13#52914yescomplemented
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13#52514yes—
974Dic13—22no—
975Dic13—22no—
976Dic13—22no—
977Dic13—22no—
978Dic13—22no—
979Dic13—22no—
980Dic13—22no—
981Dic13—22no—
982Dic13—41no—
983Dic13—41no—
984Dic13—41no—
985Dic13—41no—
986Dic13—41no—
987C25—131no—
988C22×Q8—131no—
989C22×D4—131no—
990C22×D4—131no—
991C22×D4—131no—
992C22×D4—131no—
993C22×D4—131no—
994C22×D4—131no—
995C22×D4C22×D1311yescharacteristic
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—131no—
1005C23×C4—131no—
1006C23×C4—131no—
1007C23×C4—131no—
1008C23×C4—264no—
1009C23×C4—264no—
1010C23×C4—264no—
1011C23×C4C22×D1311yescharacteristic
1012C23×C4C22×D1311yescharacteristic
1013#126—264no—
1014#126—264no—
1015#125—264no—
1016#124—264no—
1017#123—264no—
1018#123—264no—
1019C22⋊Q8—264no—
1020C22⋊Q8—264no—
1021#121—264no—
1022#121—264no—
1023#120—264no—
1024#120—264no—
1025C4×Q8—264no—
1026C4×D4—24no—
1027C4×D4—264no—
1028C4×D4—264no—
1029C4×D4—264no—
1030C4×D4—264no—
1031C4×D4—264no—
1032C4×D4—264no—
1033C4×D4—264no—
1034C4×D4—264no—
1035#117—24no—
1036#117—138no—
1037#117—264no—
1038#117—264no—
1039#117—264no—
1040#117—264no—
1041#117—264no—
1042#117—264no—
1043#117—264no—
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—131no—
1069C2×C4⋊C4—264no—
1070C2×C4⋊C4—264no—
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×C4⋊C4C22×D1311yescharacteristic
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—264no—
1113C2×C22⋊C4—264no—
1114C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
1125C2×C42—131no—
1126C2×C42—131no—
1127C2×C42—131no—
1128C2×C42—131no—
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×C42—264no—
1141C2×C42—264no—
1142C2×C42C22×D1311yescharacteristic
1143C2×C42C22×D1311yescharacteristic
1144C2×C42C22×D1311yescharacteristic
1145C2×C42C22×D1311yescharacteristic
1146C2×C42C22×D1311yescharacteristic
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95—131no—
1162#95—131no—
1163#95—131no—
1164#95—131no—
1165#95—131no—
1166#95—131no—
1167#95—131no—
1168#95—131no—
1169#95—131no—
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95C22×D1311yescharacteristic
1174#95C22×D1311yescharacteristic
1175#95C22×D1311yescharacteristic
1176#95C22×D1311yescharacteristic
1177#95C22×D1311yescharacteristic
1178#95C22×D1311yescharacteristic
1179#95C22×D1311yescharacteristic
1180#95C22×D1311yescharacteristic
1181#95C22×D1311yescharacteristic
1182#95C22×D1311yescharacteristic
1183C2×C13—42no—
1184C2×C13—42no—
1185C2×C13C2×#52511yescharacteristic
1186C2×C13C2×#52911yescharacteristic
1187C2×C13#345511yescharacteristic
1188C2×C13D4×#4111yescharacteristic
1189C2×C13D4×#4111yescharacteristic
1190C2×C13#347511yescharacteristic
1191C2×C13#347511yescharacteristic
1192D13—24no—
1193D13—42no—
1194D13—81no—
1195C24—131no—
1196C24—131no—
1197C24—131no—
1198C24—262no—
1199C24—262no—
1200C24—262no—
1201C24—262no—
1202C24—262no—
1203C24—521no—
1204C24—521no—
1205C24C23×D1311yescharacteristic
1206C24C23×D1311yescharacteristic
1207C2×Q8—262no—
1208C2×Q8—262no—
1209C2×Q8—521no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—41no—
1213C2×D4—134no—
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—262no—
1225C2×D4—262no—
1226C2×D4—262no—
1227C2×D4—521no—
1228C2×D4—521no—
1229C2×D4—521no—
1230C2×D4—521no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—134no—
1245C22×C4—134no—
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—262no—
1258C22×C4—262no—
1259C22×C4—2632no—
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—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×C4D4×D1314yes—
1287C22×C4C23×D1311yescharacteristic
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C22×C4C23×D1311yescharacteristic
1291C22×C4C23×D1311yescharacteristic
1292C22×C4C23×D1311yescharacteristic
1293C22×C4C23×D1311yescharacteristic
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1311yescharacteristic
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1311yescharacteristic
1298C22×C4C23×D1311yescharacteristic
1299C22×C4C23×D1311yescharacteristic
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—134no—
1308C4⋊C4—134no—
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—262no—
1324C4⋊C4—262no—
1325C4⋊C4—262no—
1326C4⋊C4—262no—
1327C4⋊C4—262no—
1328C4⋊C4—262no—
1329C4⋊C4—521no—
1330C4⋊C4—521no—
1331C4⋊C4—521no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—134no—
1343C22⋊C4—134no—
1344C22⋊C4—134no—
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—262no—
1367C22⋊C4—262no—
1368C22⋊C4—262no—
1369C22⋊C4—262no—
1370C22⋊C4—521no—
1371C22⋊C4—521no—
1372C22⋊C4—521no—
1373C22⋊C4—521no—
1374C22⋊C4—521no—
1375C22⋊C4—521no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—134no—
1382C42—134no—
1383C42—262no—
1384C42—262no—
1385C42—262no—
1386C42—262no—
1387C42—262no—
1388C42—262no—
1389C42—262no—
1390C42—262no—
1391C42—262no—
1392C42—262no—
1393C42—262no—
1394C42—521no—
1395C42—521no—
1396C13#3474011yescharacteristic, complemented, Sylow
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—132no—
1410C23—132no—
1411C23—132no—
1412C23—132no—
1413C23—268no—
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—261no—
1431C23—524no—
1432C23—524no—
1433C23—524no—
1434C23—524no—
1435C23—524no—
1436C23—524no—
1437C23C2×D4×D1312yes—
1438C23#41×D1312yes—
1439C23C24×D1311yescharacteristic
1440Q8—524no—
1441D4—44no—
1442D4—268no—
1443D4—524no—
1444D4—524no—
1445D4—524no—
1446D4—524no—
1447D4—524no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—132no—
1485C2×C4—132no—
1486C2×C4—132no—
1487C2×C4—132no—
1488C2×C4—132no—
1489C2×C4—132no—
1490C2×C4—132no—
1491C2×C4—132no—
1492C2×C4—268no—
1493C2×C4—268no—
1494C2×C4—268no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—261no—
1510C2×C4—261no—
1511C2×C4—268no—
1512C2×C4—268no—
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—524no—
1529C2×C4—524no—
1530C2×C4—524no—
1531C2×C4—524no—
1532C2×C4—524no—
1533C2×C4—524no—
1534C2×C4—524no—
1535C2×C4C2×D4×D1312yes—
1536C2×C4C2×D4×D1312yes—
1537C2×C4#41×D1312yes—
1538C2×C4#41×D1312yes—
1539C2×C4#41×D1312yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—134no—
1555C22—262no—
1556C22—262no—
1557C22—262no—
1558C22—262no—
1559C22—262no—
1560C22—262no—
1561C22—262no—
1562C22—262no—
1563C22—262no—
1564C22—5216no—
1565C22—521no—
1566C22—521no—
1567C22—521no—
1568C22—521no—
1569C22—521no—
1570C22—521no—
1571C22—521no—
1572C22—521no—
1573C22—521no—
1574C22—521no—
1575C22—521no—
1576C22C22×D4×D1311yescharacteristic
1577C22C2×#41×D1311yescharacteristic
1578C22C2×#41×D1311yescharacteristic
1579C22C2×#41×D1311yescharacteristic
1580C22C2×#41×D1311yescharacteristic
1581C22#1171964811yescharacteristic
1582C22#1171964811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—262no—
1596C4—262no—
1597C4—262no—
1598C4—262no—
1599C4—262no—
1600C4—262no—
1601C4—262no—
1602C4—262no—
1603C4—521no—
1604C4—521no—
1605C4—521no—
1606C4—521no—
1607C4—521no—
1608C4#1171936114yes—
1609C2—42no—
1610C2—42no—
1611C2—264no—
1612C2—522no—
1613C2—1041no—
1614C2C2×#1171936111yescharacteristic
1615C2D13×#52911yescharacteristic
1616C2#1312821911yescharacteristic
1617C2#1312831911yescharacteristic
1618C2#1312832211yescharacteristic
1619C2#1312838811yescharacteristic
1620C2#1312838811yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2395C2
prime radical#13118373C2
hypercenter#2395D13
hypocenterC13#34740
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
1. C2×#11719243C2semidirect
2. C2×D13×#117C2semidirect
3. #13119090C2semidirect
4. #13119075C2semidirect
5. #13119060C2semidirect
6. #13119045C2semidirect
7. #13119030C2semidirect
8. #13119015C2semidirect
9. #13119000C2semidirect
10. #13118985C2semidirect
11. #13118970C2semidirect
12. #13118955C2semidirect
13. #13118940C2semidirect
14. #13118925C2semidirect
15. #13118648C2semidirect
16. #13118566C2semidirect
18. #13118291C2semidirect
19. #13118112C2semidirect
20. #13118093C2semidirect
21. #13118080C2semidirect
22. C4×#88150C2semidirect
23. C4×#88138C2semidirect
24. C4×#88136C2semidirect
25. C4×#88191C2semidirect
26. #13117332C2semidirect
27. #13117297C2semidirect
28. #13117277C2semidirect
29. #13117275C2semidirect
30. C4×#88135C2semidirect
31. C13×#2395C2semidirect
41. C2×C4×C22⋊D13C22semidirect
43. C22×C4×Dic13C22semidirect
46. C2×#88152C22semidirect
52. C2×#88143C22semidirect
53. C2×#88140C22semidirect
62. C2×#88132C22semidirect
69. C2×#88126C22semidirect
72. C2×C4×Dic26C22semidirect
73. C13×#400C22semidirect
74. C13×#399C22semidirect
75. C13×#398C22semidirect
78. C13×#397C22semidirect
81. C4×C13×C4⋊C4C22semidirect
82. C4×C13×C4⋊C4C22semidirect
84. C4×C13×C22⋊C4C22semidirect
85. C4×C13×C22⋊C4C22semidirect
89. #11718654C22semidirect
91. #11718653C22semidirect
92. #11718651C22semidirect
93. #11718651C22semidirect
101. #11718643C22semidirect
102. #11718642C22semidirect
103. #11718641C22semidirect
104. #11718641C22semidirect
105. #11718640C22semidirect
106. #11718634C22semidirect
107. #11718634C22semidirect
108. #11718633C22semidirect
113. #11718620C22semidirect
117. #11718618C22semidirect
125. #11718612C22semidirect
127. #11718609C22semidirect
129. #11718607C22semidirect
130. #11718607C22semidirect
135. C22⋊C4×Dic13C22semidirect
136. C22⋊C4×Dic13C22semidirect
141. C4×#6103C22semidirect
142. C4×#6103C22semidirect
143. #11718593C22semidirect
144. C4×#6101C22semidirect
145. C4×#6101C22semidirect
146. C4×#6101C22semidirect
147. C4×#6101C22semidirect
148. C42×Dic13C22semidirect
150. #11718337C22semidirect
158. #11718330C22semidirect
159. #11718330C22semidirect
160. #11718330C22semidirect
173. #11718319C22semidirect
174. #11718318C22semidirect
175. #11718318C22semidirect
176. #11718315C22semidirect
177. #11718315C22semidirect
178. #11718315C22semidirect
179. #11718315C22semidirect
180. #11718314C22semidirect
181. #11718314C22semidirect
182. #11718313C22semidirect
183. #11718313C22semidirect
184. #11718313C22semidirect
185. #11718310C22semidirect
186. #11718310C22semidirect
187. #11718308C22semidirect
188. #11718307C22semidirect
280. #88180D4semidirect
607. #2395D13semidirect
804. #400C2×D13semidirect
807. #399C2×D13semidirect
812. #398C2×D13semidirect
819. #397C2×D13semidirect
900. C4×C4⋊C4C2×D13semidirect
901. C4×C4⋊C4C2×D13semidirect
914. C4×C22⋊C4C2×D13semidirect
915. C4×C22⋊C4C2×D13semidirect
960. C2×D13#529semidirect
1396. C13#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#117192432
C2×D13×#1172
#131190902
#131190752
#131190602
#131190452
#131190302
#131190152
#131190002
#131189852
#131189702
#131189552
#131189402
#131189252
#131186482
#131185662
#131183732
#131182912
#131181122
#131180932
#131180802
C4×#881502
C4×#881382
C4×#881362
C4×#881912
#131173322
#131172972
#131172772
#131172752
C4×#881352
C13×#23952
#3474013