Finite Group Databasebeta

← #16031091

Subgroups — #16031091

Order 3328.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719233C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13119083C211yesmaximal, characteristic, complemented
4#13119075C211yesmaximal, characteristic, complemented
5#13118903C211yesmaximal, characteristic, complemented
6#13118895C211yesmaximal, characteristic, complemented
7#13118746C211yesmaximal, characteristic, complemented
8#13118738C211yesmaximal, characteristic, complemented
9#13118703C211yesmaximal, characteristic, complemented
10#13118618C211yesmaximal, characteristic, complemented
11#13118553C211yesmaximal, characteristic, complemented
12#13118482C211yesmaximal, characteristic, complemented
13#13118408C211yesmaximal, characteristic, complemented
14#13118323C211yesmaximal, characteristic, complemented
15#13118301C211yesmaximal, characteristic, complemented
16#13118299C211yesmaximal, characteristic, complemented
17#13118282C211yesmaximal, characteristic, complemented
18#13118187C211yesmaximal, characteristic
19#13118099C211yesmaximal, characteristic, complemented
20#13118078C211yesmaximal, characteristic, complemented
21#13118076C211yesmaximal, characteristic, complemented
22C4×#88139C211yesmaximal, characteristic, complemented
23C4×#88150C211yesmaximal, characteristic, complemented
24C4×#88138C211yesmaximal, characteristic, complemented
25C4×#88136C211yesmaximal, characteristic, complemented
26C4×#88136C211yesmaximal, characteristic, complemented
27#13117299C211yesmaximal, characteristic, complemented
28#13117217C211yesmaximal, characteristic, complemented
29#13117215C211yesmaximal, characteristic, complemented
30C4×#88147C211yesmaximal, characteristic, complemented
31C13×#2395C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C2×C13×#117C2211yescharacteristic, complemented
37C2×D4×Dic13C2211yescharacteristic
38C2×C4×C22⋊D13C2211yescharacteristic
39C2×C4×C22⋊D13C2211yescharacteristic
40C2×C4×C22⋊D13C2211yescharacteristic, complemented
41C2×C4×C22⋊D13C2211yescharacteristic, complemented
42C2×#88180C2211yescharacteristic, complemented
43C4×D4×D13—28no—
44#11719233—28no—
45C2×#88152C2211yescharacteristic, complemented
46C2×#88150C2211yescharacteristic
47C2×#88150C2211yescharacteristic, complemented
48C2×#88148C2211yescharacteristic, complemented
49C2×#88147C2211yescharacteristic
50C2×#88147C2211yescharacteristic
51C2×#88147C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×#88143C2211yescharacteristic, complemented
54C2×#88139C2211yescharacteristic
55C2×#88139C2211yescharacteristic
56C2×#88138C2211yescharacteristic
57C2×#88138C2211yescharacteristic
58C2×#88137C2211yescharacteristic, complemented
59C2×#88136C2211yescharacteristic
60C2×#88136C2211yescharacteristic
61C2×#88135C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×#88133C2211yescharacteristic, complemented
66C2×C4×D52C2211yescharacteristic
67C2×C4×D52C2211yescharacteristic
68C2×C4×D52C2211yescharacteristic, complemented
69C2×C4×D52C2211yescharacteristic, complemented
70C2×#88126C2211yescharacteristic, complemented
71C2×#88126C2211yescharacteristic, complemented
72C2×C42×D13C2211yescharacteristic
73C2×C42×D13C2211yescharacteristic, complemented
74C2×C4×Dic26C2211yescharacteristic, complemented
75C13×#400C2211yescharacteristic, complemented
76C13×#399C2211yescharacteristic, complemented
77C13×#398C2211yescharacteristic, complemented
78C13×#397C2211yescharacteristic, complemented
79C13×#397C2211yescharacteristic, complemented
80C13×#397C2211yescharacteristic, complemented
81C13×#394C2211yescharacteristic
82C13×#394C2211yescharacteristic
83C4×C13×C4⋊C4C2211yescharacteristic, complemented
84C4×C13×C4⋊C4C2211yescharacteristic, complemented
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86C4×C13×C22⋊C4C2211yescharacteristic, complemented
87C4×C13×C22⋊C4C2211yescharacteristic, complemented
88#11718884C2211yescharacteristic
89#11718883C2211yescharacteristic
90C4×C22⋊Dic13C2211yescharacteristic, complemented
91#11718655C2211yescharacteristic, complemented
92#11718655C2211yescharacteristic, complemented
93#11718655C2211yescharacteristic, complemented
94#11718654C2211yescharacteristic, complemented
95#11718653C2211yescharacteristic, complemented
96#11718652C2211yescharacteristic
97#11718652C2211yescharacteristic
98#11718652C2211yescharacteristic, complemented
99#11718650C2211yescharacteristic
100#11718648C2211yescharacteristic
101#11718648C2211yescharacteristic
102#11718648C2211yescharacteristic, complemented
103#11718648C2211yescharacteristic, complemented
104#11718645C2211yescharacteristic, complemented
105#11718645C2211yescharacteristic, complemented
106#11718642C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109#11718633C2211yescharacteristic, complemented
110#11718622C2211yescharacteristic, complemented
111#11718620C2211yescharacteristic, complemented
112#11718619C2211yescharacteristic, complemented
113#11718619C2211yescharacteristic, complemented
114#11718618C2211yescharacteristic
115#11718618C2211yescharacteristic
116#11718618C2211yescharacteristic
117#11718618C2211yescharacteristic
118#11718617C2211yescharacteristic, complemented
119#11718616C2211yescharacteristic
120#11718616C2211yescharacteristic
121#11718616C2211yescharacteristic
122#11718616C2211yescharacteristic
123#11718616C2211yescharacteristic
124#11718616C2211yescharacteristic
125#11718613C2211yescharacteristic, complemented
126#11718612C2211yescharacteristic, complemented
127#11718612C2211yescharacteristic, complemented
128#11718611C2211yescharacteristic, complemented
129#11718611C2211yescharacteristic, complemented
130#11718609C2211yescharacteristic, complemented
131#11718605C2211yescharacteristic, complemented
132#11718605C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic, complemented
134#11718604C2211yescharacteristic, complemented
135#11718604C2211yescharacteristic, complemented
136#11718603C2211yescharacteristic, complemented
137#11718603C2211yescharacteristic, complemented
138C4×#6103C2211yescharacteristic
139C4×#6103C2211yescharacteristic
140C4×#6103C2211yescharacteristic
141C4×#6103C2211yescharacteristic, complemented
142C4×#6103C2211yescharacteristic, complemented
143C4×#6103C2211yescharacteristic, complemented
144C4×#6103C2211yescharacteristic, complemented
145C4×#6103C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147C4×#6101C2211yescharacteristic, complemented
148C42×Dic13C2211yescharacteristic, complemented
149#11718336C2211yescharacteristic, complemented
150#11718336C2211yescharacteristic, complemented
151#11718335C2211yescharacteristic, complemented
152#11718333C2211yescharacteristic
153#11718333C2211yescharacteristic, complemented
154#11718332C2211yescharacteristic
155#11718331C2211yescharacteristic, complemented
156#11718331C2211yescharacteristic, complemented
157#11718331C2211yescharacteristic, complemented
158#11718330C2211yescharacteristic, complemented
159#11718330C2211yescharacteristic, complemented
160#11718329C2211yescharacteristic
161#11718329C2211yescharacteristic
162#11718329C2211yescharacteristic
163#11718329C2211yescharacteristic, complemented
164#11718329C2211yescharacteristic, complemented
165#11718328C2211yescharacteristic
166#11718328C2211yescharacteristic
167#11718328C2211yescharacteristic
168#11718328C2211yescharacteristic, complemented
169#11718327C2211yescharacteristic
170#11718327C2211yescharacteristic
171#11718327C2211yescharacteristic, complemented
172#11718327C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic, complemented
176#11718326C2211yescharacteristic, complemented
177#11718326C2211yescharacteristic, complemented
178#11718325C2211yescharacteristic, complemented
179#11718325C2211yescharacteristic, complemented
180#11718322C2211yescharacteristic, complemented
181#11718321C2211yescharacteristic, complemented
182#11718313C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C2×D4×D13—24no—
201C2×D4×D13—24no—
202C2×D4×D13—24no—
203C22×D52C2311yescharacteristic
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×C4×D13—24no—
208C22×C4×D13—24no—
209C22×C4×D13—24no—
210C22×C4×D13—24no—
211C22×C4×D13—42no—
212C22×C4×D13—42no—
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×Dic26C2311yescharacteristic
226C4×D4×C13—24no—
227C13×#117—24no—
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊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
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C42×C13C2311yescharacteristic
247C2×C42×C13C2311yescharacteristic
248C2×C42×C13C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258D4×Dic13—24no—
259C4×C22⋊D13—24no—
260C4×C22⋊D13—24no—
261C4×C22⋊D13—42no—
262C4×C22⋊D13D418yescomplemented
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
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295#88180—42no—
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×C4⋊Dic13C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329#88152—24no—
330#88150—24no—
331#88150—24no—
332#88148—24no—
333#88147—24no—
334#88147—24no—
335#88147—24no—
336C4⋊C4×D13—24no—
337#88143—24no—
338#88139—24no—
339#88139—24no—
340#88138—24no—
341#88138—24no—
342#88137—24no—
343#88136—24no—
344#88136—24no—
345#88135—24no—
346#88135—24no—
347C22⋊C4×D13—24no—
348C22⋊C4×D13—24no—
349#88133—24no—
350C4×D52—24no—
351C4×D52—24no—
352C4×D52—24no—
353C4×D52—42no—
354#88126—24no—
355#88126—42no—
356C42×D13—24no—
357C42×D13—24no—
358C4×Dic26—24no—
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367C13×#95C2311yescharacteristic
368C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34700—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13C2×D414yes—
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C2×C22⋊D13—22no—
435C2×C22⋊D13—22no—
436C2×C22⋊D13—22no—
437C2×C22⋊D13—22no—
438C2×C22⋊D13—22no—
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—41no—
443C2×C22⋊D13—41no—
444C2×C22⋊D13C2×D414yes—
445C2×C22⋊D13#4114yes—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464D4×D13—232no—
465C2×D52—22no—
466C2×D52—22no—
467C2×D52—22no—
468C2×D52—22no—
469C2×D52—22no—
470C2×D52—22no—
471C2×D52—22no—
472C2×D52—22no—
473C2×D52—22no—
474C2×D52—41no—
475C2×D52—41no—
476C2×D52#4114yes—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—416no—
505C2×C4×D13—416no—
506C2×C4×D13—41no—
507C2×C4×D13—41no—
508C2×C4×D13—41no—
509C2×C4×D13—41no—
510C2×C4×D13—41no—
511C2×C4×D13—41no—
512C2×C4×D13C2×D414yes—
513C2×C4×D13#4114yes—
514C2×C4×D13#4114yes—
515C2×Dic26—22no—
516C2×Dic26—22no—
517C2×Dic26—22no—
518C13×C4⋊C4—22no—
519C13×C4⋊C4—22no—
520C13×C4⋊C4—22no—
521C13×C4⋊C4—22no—
522C13×C4⋊C4—22no—
523C13×C4⋊C4—22no—
524C13×C4⋊C4—41no—
525C13×C22⋊C4—22no—
526C13×C22⋊C4—22no—
527C13×C22⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—41no—
534C13×C22⋊C4—41no—
535C42×C13—22no—
536C42×C13—22no—
537C42×C13—22no—
538C42×C13—22no—
539C42×C13—22no—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—41no—
544C22⋊Dic13—41no—
545C22⋊Dic13—41no—
546C22⋊Dic13—41no—
547C22⋊Dic13C2×D414yes—
548#6103—22no—
549#6103—22no—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—22no—
556#6103—22no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—41no—
572#6103—41no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103—41no—
579#6103C2×D414yes—
580C4⋊Dic13—22no—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—22no—
584C4⋊Dic13—41no—
585C4⋊Dic13—41no—
586C4⋊Dic13—41no—
587#6101—22no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—41no—
597#6101—41no—
598#6101—41no—
599#6101—41no—
600#6101C2×D414yes—
601C4×Dic13—22no—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×Dic13C2×D414yes—
613C2×#529—131no—
614C22×C4×D4—131no—
615#2480—131no—
616#2480—131no—
617#2468—131no—
618#2468—131no—
619#2457—131no—
620#2457—131no—
621#2454—131no—
622#2447—131no—
623#2442—131no—
624#2435—131no—
625#2427—131no—
626#2420—131no—
627#2418—131no—
628#2418—131no—
629#2417—131no—
630#2408—131no—
631#2395—131no—
632#2395D1311yescharacteristic, complemented
633#2392—131no—
634#2392—131no—
635C4×#124—131no—
636C4×C22⋊Q8—131no—
637C4×#121—131no—
638C4×#120—131no—
639C4×#120—131no—
640#2293—131no—
641#2280—131no—
642#2280—131no—
643C42×D4—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13C22×D412yes—
657C23×C13C2×#4112yes—
658C23×C13C2511yescharacteristic
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—28no—
664C22×D13—28no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—44no—
684C22×D13—44no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13C22×D412yes—
696C22×D13C2×#4112yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701D4×C13—28no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—28no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—44no—
737C2×C4×C13C22×D412yes—
738C2×C4×C13C22×D412yes—
739C2×C4×C13C2×#4112yes—
740C2×C4×C13C2×#4112yes—
741C2×C4×C13C2×#4112yes—
742C2×C4×C13H(5,𝔽2)12yes—
743C22⋊D13—28no—
744C22⋊D13—28no—
745C22⋊D13—44no—
746C22⋊D13—44no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—44no—
778C2×Dic13—44no—
779C2×Dic13C22×D412yes—
780C2×Dic13C22×D412yes—
781C2×Dic13C22×D412yes—
782C2×Dic13C2×#4112yes—
783C2×Dic13C2×#4112yes—
784C2×Dic13C2×#4112yes—
785D52—28no—
786D52—28no—
787D52—44no—
788D52—44no—
789C4×D13—28no—
790C4×D13—28no—
791C4×D13—28no—
792C4×D13—44no—
793C4×D13—44no—
794C4×D13—44no—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801Dic26—44no—
802C23×D4—131no—
803C24×C4—131no—
804C24×C4—131no—
805#529—268no—
806C2×#126—131no—
807C2×#126—131no—
808C2×#125—131no—
809C2×#124—131no—
810C2×#124—131no—
811C2×#123—131no—
812C2×#123—131no—
813C2×C22⋊Q8—131no—
814C2×C22⋊Q8—131no—
815C2×#121—131no—
816C2×#121—131no—
817C2×#120—131no—
818C2×#120—131no—
819C2×C4×Q8—131no—
820C2×C4×D4—131no—
821C2×C4×D4—131no—
822C2×C4×D4—131no—
823C2×C4×D4—131no—
824C2×C4×D4—131no—
825C2×C4×D4—131no—
826C2×C4×D4—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4—131no—
832C2×C4×D4—131no—
833C2×C4×D4—131no—
834C2×C4×D4—268no—
835C2×C4×D4C2×D1311yescharacteristic
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839C2×#117C2×D1311yescharacteristic, complemented
840C22×C4⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C42—131no—
844C22×C42—131no—
845#400—131no—
846#400C2×D1311yescharacteristic, complemented
847#399—131no—
848#399C2×D1311yescharacteristic, complemented
849#398—131no—
850#398—131no—
851#398—131no—
852#398C2×D1311yescharacteristic, complemented
853#397—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397C2×D1311yescharacteristic, complemented
859#397C2×D1311yescharacteristic, complemented
860#397C2×D1311yescharacteristic, complemented
861#396—131no—
862#396—131no—
863#396—131no—
864#396—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394—131no—
873#394C2×D1311yescharacteristic
874#394C2×D1311yescharacteristic
875#392—131no—
876#392—131no—
877#391—131no—
878#391—131no—
879#390—131no—
880#390—131no—
881#390—131no—
882#390—131no—
883#389—131no—
884#389—131no—
885#389—131no—
886#389—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#388—131no—
892#388—131no—
893#388—131no—
894#388—131no—
895#388—131no—
896#388—131no—
897#387—131no—
898#387—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#385—131no—
908#385—131no—
909#385—131no—
910#385—131no—
911#385—131no—
912#385—131no—
913#385—131no—
914#385—131no—
915#382—131no—
916#381—131no—
917#381—131no—
918#381—131no—
919#381—131no—
920#380—131no—
921#380—131no—
922#380—131no—
923#380—131no—
924#380—131no—
925#380—131no—
926#380—131no—
927#380—131no—
928#380—131no—
929#380—131no—
930#379—131no—
931#379—131no—
932#379—131no—
933#379—131no—
934#379—131no—
935#379—131no—
936C4×C4⋊C4—131no—
937C4×C4⋊C4—131no—
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4C2×D1311yescharacteristic, complemented
941C4×C4⋊C4C2×D1311yescharacteristic, complemented
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4—131no—
947C4×C22⋊C4—131no—
948C4×C22⋊C4—131no—
949C4×C22⋊C4—131no—
950C4×C22⋊C4—131no—
951C4×C22⋊C4—131no—
952C4×C22⋊C4—131no—
953C4×C22⋊C4—131no—
954C4×C22⋊C4—131no—
955C4×C22⋊C4C2×D1311yescharacteristic, complemented
956C4×C22⋊C4C2×D1311yescharacteristic, complemented
957C4×C22⋊C4C2×D1311yescharacteristic, complemented
958C43—131no—
959C22×C13—22no—
960C22×C13—22no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13C23×D411yescharacteristic
974C22×C13C22×#4111yescharacteristic
975C22×C13C22×#4111yescharacteristic
976C22×C13C22×#4111yescharacteristic
977C22×C13C22×#4111yescharacteristic
978C22×C13C2×H(5,𝔽2)11yescharacteristic
979C22×C13#58511yescharacteristic
980C2×D13—22no—
981C2×D13—22no—
982C2×D13—22no—
983C2×D13—22no—
984C2×D13—22no—
985C2×D13—22no—
986C2×D13—22no—
987C2×D13—22no—
988C2×D13—22no—
989C2×D13—22no—
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—22no—
995C2×D13—416no—
996C2×D13—416no—
997C2×D13—41no—
998C2×D13—41no—
999C2×D13—41no—
1000C2×D13—41no—
1001C2×D13—41no—
1002C2×D13—41no—
1003C2×D13—41no—
1004C2×D13—41no—
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C2×D13#52914yescomplemented
1010C4×C13—22no—
1011C4×C13—22no—
1012C4×C13—22no—
1013C4×C13—41no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13#54614yes—
1023Dic13—22no—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—41no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13#52514yes—
1035C25—131no—
1036C25—131no—
1037C22×Q8—131no—
1038C22×D4—131no—
1039C22×D4—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—264no—
1047C22×D4—264no—
1048C22×D4—264no—
1049C22×D4C22×D1311yescharacteristic
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4—131no—
1064C23×C4—264no—
1065C23×C4—264no—
1066C23×C4—264no—
1067C23×C4—264no—
1068C23×C4—522no—
1069C23×C4—522no—
1070C23×C4C22×D1311yescharacteristic
1071C23×C4C22×D1311yescharacteristic
1072#126—264no—
1073#126—264no—
1074#125—264no—
1075#124—264no—
1076#124—264no—
1077#123—264no—
1078#123—264no—
1079C22⋊Q8—264no—
1080C22⋊Q8—264no—
1081#121—264no—
1082#121—264no—
1083#120—264no—
1084#120—264no—
1085C4×Q8—264no—
1086C4×D4—24no—
1087C4×D4—138no—
1088C4×D4—264no—
1089C4×D4—264no—
1090C4×D4—264no—
1091C4×D4—264no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—522no—
1100C4×D4—522no—
1101#117—24no—
1102#117—264no—
1103#117—522no—
1104#117—522no—
1105C2×C4⋊C4—131no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—264no—
1127C2×C4⋊C4C22×D1311yescharacteristic
1128C2×C4⋊C4C22×D1311yescharacteristic
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×C4⋊C4C22×D1311yescharacteristic
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—264no—
1175C2×C22⋊C4—264no—
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C22⋊C4C22×D1311yescharacteristic
1178C2×C22⋊C4C22×D1311yescharacteristic
1179C2×C22⋊C4C22×D1311yescharacteristic
1180C2×C22⋊C4C22×D1311yescharacteristic
1181C2×C22⋊C4C22×D1311yescharacteristic
1182C2×C22⋊C4C22×D1311yescharacteristic
1183C2×C22⋊C4C22×D1311yescharacteristic
1184C2×C22⋊C4C22×D1311yescharacteristic
1185C2×C22⋊C4C22×D1311yescharacteristic
1186C2×C42—131no—
1187C2×C42—131no—
1188C2×C42—131no—
1189C2×C42—131no—
1190C2×C42—131no—
1191C2×C42—131no—
1192C2×C42—131no—
1193C2×C42—131no—
1194C2×C42—131no—
1195C2×C42—131no—
1196C2×C42—131no—
1197C2×C42—131no—
1198C2×C42—264no—
1199C2×C42—264no—
1200C2×C42C22×D1311yescharacteristic
1201C2×C42C22×D1311yescharacteristic
1202C2×C42C22×D1311yescharacteristic
1203C2×C42C22×D1311yescharacteristic
1204C2×C42C22×D1311yescharacteristic
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95C22×D1311yescharacteristic
1228#95C22×D1311yescharacteristic
1229#95C22×D1311yescharacteristic
1230#95C22×D1311yescharacteristic
1231#95C22×D1311yescharacteristic
1232#95C22×D1311yescharacteristic
1233#95C22×D1311yescharacteristic
1234#95C22×D1311yescharacteristic
1235#95C22×D1311yescharacteristic
1236#95C22×D1311yescharacteristic
1237C2×C13—42no—
1238C2×C13—42no—
1239C2×C13C2×#52511yescharacteristic
1240C2×C13C2×#52911yescharacteristic
1241C2×C13#346011yescharacteristic
1242C2×C13C2×#54611yescharacteristic
1243C2×C13D4×#4111yescharacteristic
1244C2×C13#347511yescharacteristic
1245C2×C13#348111yescharacteristic
1246D13—24no—
1247D13—42no—
1248D13—42no—
1249D13—42no—
1250C24—131no—
1251C24—131no—
1252C24—131no—
1253C24—131no—
1254C24—262no—
1255C24—262no—
1256C24—262no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—521no—
1265C24—521no—
1266C24—521no—
1267C24—521no—
1268C24C23×D1311yescharacteristic
1269C24C23×D1311yescharacteristic
1270C2×Q8—262no—
1271C2×Q8—262no—
1272C2×Q8—262no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—134no—
1277C2×D4—134no—
1278C2×D4—134no—
1279C2×D4—262no—
1280C2×D4—262no—
1281C2×D4—262no—
1282C2×D4—262no—
1283C2×D4—262no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—2632no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—131no—
1307C22×C4—131no—
1308C22×C4—131no—
1309C22×C4—131no—
1310C22×C4—134no—
1311C22×C4—134no—
1312C22×C4—134no—
1313C22×C4—131no—
1314C22×C4—131no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—262no—
1322C22×C4—262no—
1323C22×C4—262no—
1324C22×C4—262no—
1325C22×C4—262no—
1326C22×C4—262no—
1327C22×C4—262no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
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—521no—
1353C22×C4—521no—
1354C22×C4—521no—
1355C22×C4—521no—
1356C22×C4—521no—
1357C22×C4—521no—
1358C22×C4—5216no—
1359C22×C4—5216no—
1360C22×C4—521no—
1361C22×C4—521no—
1362C22×C4D4×D1314yes—
1363C22×C4C23×D1311yescharacteristic
1364C22×C4C23×D1311yescharacteristic
1365C22×C4C23×D1311yescharacteristic
1366C22×C4C23×D1311yescharacteristic
1367C22×C4C23×D1311yescharacteristic
1368C22×C4C23×D1311yescharacteristic
1369C22×C4C23×D1311yescharacteristic
1370C22×C4C23×D1311yescharacteristic
1371C22×C4C23×D1311yescharacteristic
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—41no—
1383C4⋊C4—134no—
1384C4⋊C4—262no—
1385C4⋊C4—262no—
1386C4⋊C4—262no—
1387C4⋊C4—262no—
1388C4⋊C4—262no—
1389C4⋊C4—262no—
1390C4⋊C4—262no—
1391C4⋊C4—262no—
1392C4⋊C4—262no—
1393C4⋊C4—262no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—521no—
1398C4⋊C4—521no—
1399C4⋊C4—521no—
1400C4⋊C4—521no—
1401C4⋊C4—521no—
1402C4⋊C4—521no—
1403C4⋊C4—521no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—134no—
1415C22⋊C4—134no—
1416C22⋊C4—262no—
1417C22⋊C4—262no—
1418C22⋊C4—262no—
1419C22⋊C4—262no—
1420C22⋊C4—262no—
1421C22⋊C4—262no—
1422C22⋊C4—262no—
1423C22⋊C4—262no—
1424C22⋊C4—262no—
1425C22⋊C4—262no—
1426C22⋊C4—262no—
1427C22⋊C4—262no—
1428C22⋊C4—262no—
1429C22⋊C4—262no—
1430C22⋊C4—262no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—262no—
1437C22⋊C4—262no—
1438C22⋊C4—262no—
1439C22⋊C4—262no—
1440C22⋊C4—262no—
1441C22⋊C4—262no—
1442C22⋊C4—521no—
1443C22⋊C4—521no—
1444C22⋊C4—521no—
1445C22⋊C4—521no—
1446C22⋊C4—521no—
1447C22⋊C4—521no—
1448C22⋊C4—521no—
1449C22⋊C4—521no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—134no—
1460C42—262no—
1461C42—262no—
1462C42—262no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—521no—
1471C13#3470011yescharacteristic, complemented, Sylow
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—132no—
1485C23—132no—
1486C23—132no—
1487C23—132no—
1488C23—132no—
1489C23—132no—
1490C23—268no—
1491C23—268no—
1492C23—261no—
1493C23—261no—
1494C23—261no—
1495C23—261no—
1496C23—261no—
1497C23—261no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—261no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—524no—
1515C23—524no—
1516C23—524no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23C2×D4×D1312yes—
1527C23#41×D1312yes—
1528C23C24×D1311yescharacteristic
1529Q8—524no—
1530D4—28no—
1531D4—268no—
1532D4—268no—
1533D4—268no—
1534D4—268no—
1535D4—524no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—28no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—132no—
1575C2×C4—132no—
1576C2×C4—132no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—132no—
1580C2×C4—268no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—268no—
1588C2×C4—268no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—524no—
1614C2×C4—524no—
1615C2×C4—524no—
1616C2×C4—524no—
1617C2×C4—524no—
1618C2×C4—524no—
1619C2×C4—524no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4C2×D4×D1312yes—
1625C2×C4C2×D4×D1312yes—
1626C2×C4#41×D1312yes—
1627C2×C4#41×D1312yes—
1628C2×C4#41×D1312yes—
1629C2×C4#8825612yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—134no—
1645C22—262no—
1646C22—262no—
1647C22—262no—
1648C22—262no—
1649C22—262no—
1650C22—262no—
1651C22—262no—
1652C22—262no—
1653C22—262no—
1654C22—262no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—5216no—
1661C22—5216no—
1662C22—521no—
1663C22—521no—
1664C22—521no—
1665C22—521no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22C22×D4×D1311yescharacteristic
1675C22C2×#41×D1311yescharacteristic
1676C22C2×#41×D1311yescharacteristic
1677C22C2×#41×D1311yescharacteristic
1678C22C2×#41×D1311yescharacteristic
1679C22C2×#8825611yescharacteristic
1680C22#1171964811yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—134no—
1694C4—262no—
1695C4—262no—
1696C4—262no—
1697C4—521no—
1698C4—521no—
1699C4—521no—
1700C4—521no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4#1171935914yes—
1706C2—42no—
1707C2—42no—
1708C2—264no—
1709C2—522no—
1710C2—522no—
1711C2—522no—
1712C2D13×#52511yescharacteristic
1713C2D13×#52911yescharacteristic
1714C2#1312825711yescharacteristic
1715C2C2×#1171935911yescharacteristic
1716C2#1312832211yescharacteristic
1717C2#1312838811yescharacteristic
1718C2#1312844211yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2395C2
prime radical#13118187C2
hypercenter#2395D13
hypocenterC13#34700
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
1. C2×#11719233C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13119083C2semidirect
4. #13119075C2semidirect
5. #13118903C2semidirect
6. #13118895C2semidirect
7. #13118746C2semidirect
8. #13118738C2semidirect
9. #13118703C2semidirect
10. #13118618C2semidirect
11. #13118553C2semidirect
12. #13118482C2semidirect
13. #13118408C2semidirect
14. #13118323C2semidirect
15. #13118301C2semidirect
16. #13118299C2semidirect
17. #13118282C2semidirect
19. #13118099C2semidirect
20. #13118078C2semidirect
21. #13118076C2semidirect
22. C4×#88139C2semidirect
23. C4×#88150C2semidirect
24. C4×#88138C2semidirect
25. C4×#88136C2semidirect
26. C4×#88136C2semidirect
27. #13117299C2semidirect
28. #13117217C2semidirect
29. #13117215C2semidirect
30. C4×#88147C2semidirect
31. C13×#2395C2semidirect
36. C2×C13×#117C22semidirect
40. C2×C4×C22⋊D13C22semidirect
41. C2×C4×C22⋊D13C22semidirect
42. C2×#88180C22semidirect
45. C2×#88152C22semidirect
47. C2×#88150C22semidirect
48. C2×#88148C22semidirect
53. C2×#88143C22semidirect
58. C2×#88137C22semidirect
65. C2×#88133C22semidirect
68. C2×C4×D52C22semidirect
69. C2×C4×D52C22semidirect
70. C2×#88126C22semidirect
71. C2×#88126C22semidirect
73. C2×C42×D13C22semidirect
74. C2×C4×Dic26C22semidirect
75. C13×#400C22semidirect
76. C13×#399C22semidirect
77. C13×#398C22semidirect
78. C13×#397C22semidirect
79. C13×#397C22semidirect
80. C13×#397C22semidirect
83. C4×C13×C4⋊C4C22semidirect
84. C4×C13×C4⋊C4C22semidirect
85. C4×C13×C22⋊C4C22semidirect
86. C4×C13×C22⋊C4C22semidirect
87. C4×C13×C22⋊C4C22semidirect
90. C4×C22⋊Dic13C22semidirect
91. #11718655C22semidirect
92. #11718655C22semidirect
93. #11718655C22semidirect
94. #11718654C22semidirect
95. #11718653C22semidirect
98. #11718652C22semidirect
102. #11718648C22semidirect
103. #11718648C22semidirect
104. #11718645C22semidirect
105. #11718645C22semidirect
106. #11718642C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. C4⋊C4×Dic13C22semidirect
109. #11718633C22semidirect
110. #11718622C22semidirect
111. #11718620C22semidirect
112. #11718619C22semidirect
113. #11718619C22semidirect
118. #11718617C22semidirect
125. #11718613C22semidirect
126. #11718612C22semidirect
127. #11718612C22semidirect
128. #11718611C22semidirect
129. #11718611C22semidirect
130. #11718609C22semidirect
131. #11718605C22semidirect
132. #11718605C22semidirect
133. #11718605C22semidirect
134. #11718604C22semidirect
135. #11718604C22semidirect
136. #11718603C22semidirect
137. #11718603C22semidirect
141. C4×#6103C22semidirect
142. C4×#6103C22semidirect
143. C4×#6103C22semidirect
144. C4×#6103C22semidirect
145. C4×#6103C22semidirect
146. C4×#6101C22semidirect
147. C4×#6101C22semidirect
148. C42×Dic13C22semidirect
149. #11718336C22semidirect
150. #11718336C22semidirect
151. #11718335C22semidirect
153. #11718333C22semidirect
155. #11718331C22semidirect
156. #11718331C22semidirect
157. #11718331C22semidirect
158. #11718330C22semidirect
159. #11718330C22semidirect
163. #11718329C22semidirect
164. #11718329C22semidirect
168. #11718328C22semidirect
171. #11718327C22semidirect
172. #11718327C22semidirect
175. #11718326C22semidirect
176. #11718326C22semidirect
177. #11718326C22semidirect
178. #11718325C22semidirect
179. #11718325C22semidirect
180. #11718322C22semidirect
181. #11718321C22semidirect
182. #11718313C22semidirect
183. #11718311C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
187. #11718307C22semidirect
188. #11718307C22semidirect
262. C4×C22⋊D13D4semidirect
632. #2395D13semidirect
839. C2×#117C2×D13semidirect
846. #400C2×D13semidirect
848. #399C2×D13semidirect
852. #398C2×D13semidirect
858. #397C2×D13semidirect
859. #397C2×D13semidirect
860. #397C2×D13semidirect
940. C4×C4⋊C4C2×D13semidirect
941. C4×C4⋊C4C2×D13semidirect
955. C4×C22⋊C4C2×D13semidirect
956. C4×C22⋊C4C2×D13semidirect
957. C4×C22⋊C4C2×D13semidirect
1009. C2×D13#529semidirect
1471. C13#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#117192332
C2×C4×D4×D132
#131190832
#131190752
#131189032
#131188952
#131187462
#131187382
#131187032
#131186182
#131185532
#131184822
#131184082
#131183232
#131183012
#131182992
#131182822
#131181872
#131180992
#131180782
#131180762
C4×#881392
C4×#881502
C4×#881382
C4×#881362
#131172992
#131172172
#131172152
C4×#881472
C13×#23952
#3470013