Finite Group Databasebeta

← #16030706

Subgroups — #16030706

Order 3328.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719285C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13119090C211yesmaximal, characteristic, complemented
4#13119083C211yesmaximal, characteristic, complemented
5#13118972C211yesmaximal, characteristic, complemented
6#13118965C211yesmaximal, characteristic, complemented
7#13118880C211yesmaximal, characteristic, complemented
8#13118873C211yesmaximal, characteristic, complemented
9#13118783C211yesmaximal, characteristic, complemented
10#13118776C211yesmaximal, characteristic, complemented
11#13118653C211yesmaximal, characteristic, complemented
12#13118587C211yesmaximal, characteristic, complemented
13#13118496C211yesmaximal, characteristic, complemented
14#13118390C211yesmaximal, characteristic, complemented
15#13118316C211yesmaximal, characteristic, complemented
16#13118225C211yesmaximal, characteristic, complemented
17#13118205C211yesmaximal, characteristic
18#13118158C211yesmaximal, characteristic, complemented
19#13118097C211yesmaximal, characteristic, complemented
20#13118080C211yesmaximal, characteristic, complemented
21#13118074C211yesmaximal, characteristic, complemented
22C4×#88200C211yesmaximal, characteristic, complemented
23C4×#88137C211yesmaximal, characteristic, complemented
24C4×#88138C211yesmaximal, characteristic, complemented
25C4×#88136C211yesmaximal, characteristic, complemented
26C4×#88136C211yesmaximal, characteristic, complemented
27#13117280C211yesmaximal, characteristic, complemented
28#13117280C211yesmaximal, characteristic, complemented
29#13117217C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2398C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C4×Q8×C13C2211yescharacteristic, complemented
36C2×C4×D4×C13C2211yescharacteristic
37C2×#88201C2211yescharacteristic, complemented
38C2×#88200C2211yescharacteristic
39C2×#88200C2211yescharacteristic, complemented
40C2×D4×Dic13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic, complemented
44C2×C4×C22⋊D13C2211yescharacteristic, complemented
45#11719285—28no—
46C4×D4×D13—28no—
47C2×#88152C2211yescharacteristic, complemented
48C2×#88152C2211yescharacteristic, complemented
49C2×#88149C2211yescharacteristic
50C2×#88148C2211yescharacteristic
51C2×#88148C2211yescharacteristic, complemented
52C2×#88147C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×#88144C2211yescharacteristic, complemented
55C2×#88138C2211yescharacteristic
56C2×#88137C2211yescharacteristic
57C2×#88136C2211yescharacteristic
58C2×#88136C2211yescharacteristic
59C2×#88135C2211yescharacteristic
60C2×#88135C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C4×D52C2211yescharacteristic
66C2×C4×D52C2211yescharacteristic
67C2×C4×D52C2211yescharacteristic, complemented
68C2×C4×D52C2211yescharacteristic, complemented
69C2×#88126C2211yescharacteristic, complemented
70C2×#88126C2211yescharacteristic, complemented
71C2×#88126C2211yescharacteristic, complemented
72C2×C42×D13C2211yescharacteristic
73C2×C42×D13C2211yescharacteristic, complemented
74C2×C42×D13C2211yescharacteristic, complemented
75C13×#400C2211yescharacteristic, complemented
76C13×#400C2211yescharacteristic, complemented
77C13×#397C2211yescharacteristic, complemented
78C13×#397C2211yescharacteristic, complemented
79C13×#394C2211yescharacteristic
80C13×#394C2211yescharacteristic
81C13×#393C2211yescharacteristic, complemented
82C13×#393C2211yescharacteristic, complemented
83C4×C13×C22⋊C4C2211yescharacteristic, complemented
84C4×C13×C22⋊C4C2211yescharacteristic, complemented
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86C4×C13×C22⋊C4C2211yescharacteristic, complemented
87C13×#376C2211yescharacteristic, complemented
88#11718891C2211yescharacteristic, complemented
89#11718884C2211yescharacteristic
90#11718883C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic, complemented
92C4×C22⋊Dic13C2211yescharacteristic, complemented
93#11718654C2211yescharacteristic, complemented
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718648C2211yescharacteristic
97#11718641C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99#11718639C2211yescharacteristic, complemented
100#11718634C2211yescharacteristic, complemented
101#11718622C2211yescharacteristic
102#11718622C2211yescharacteristic, complemented
103#11718622C2211yescharacteristic, complemented
104#11718621C2211yescharacteristic
105#11718620C2211yescharacteristic
106#11718620C2211yescharacteristic
107#11718620C2211yescharacteristic, complemented
108#11718619C2211yescharacteristic, complemented
109#11718619C2211yescharacteristic, complemented
110#11718618C2211yescharacteristic, complemented
111#11718617C2211yescharacteristic
112#11718617C2211yescharacteristic
113#11718616C2211yescharacteristic
114#11718616C2211yescharacteristic
115#11718616C2211yescharacteristic
116#11718616C2211yescharacteristic
117#11718613C2211yescharacteristic, complemented
118#11718612C2211yescharacteristic, complemented
119#11718612C2211yescharacteristic, complemented
120#11718611C2211yescharacteristic, complemented
121#11718611C2211yescharacteristic, complemented
122#11718610C2211yescharacteristic, complemented
123#11718609C2211yescharacteristic, complemented
124#11718609C2211yescharacteristic, complemented
125#11718609C2211yescharacteristic, complemented
126#11718606C2211yescharacteristic, complemented
127#11718603C2211yescharacteristic, complemented
128#11718603C2211yescharacteristic, complemented
129C22⋊C4×Dic13C2211yescharacteristic, complemented
130C22⋊C4×Dic13C2211yescharacteristic, complemented
131C4×#6103C2211yescharacteristic
132C4×#6103C2211yescharacteristic
133C4×#6103C2211yescharacteristic
134C4×#6103C2211yescharacteristic, complemented
135C4×#6103C2211yescharacteristic, complemented
136C4×#6103C2211yescharacteristic, complemented
137C4×C4⋊Dic13C2211yescharacteristic, complemented
138C4×C4⋊Dic13C2211yescharacteristic, complemented
139C4×#6101C2211yescharacteristic, complemented
140C4×#6101C2211yescharacteristic, complemented
141#11718337C2211yescharacteristic, complemented
142#11718336C2211yescharacteristic, complemented
143#11718336C2211yescharacteristic, complemented
144#11718335C2211yescharacteristic, complemented
145#11718333C2211yescharacteristic, complemented
146#11718331C2211yescharacteristic, complemented
147#11718331C2211yescharacteristic, complemented
148#11718331C2211yescharacteristic, complemented
149#11718331C2211yescharacteristic, complemented
150#11718330C2211yescharacteristic, complemented
151#11718329C2211yescharacteristic
152#11718329C2211yescharacteristic
153#11718329C2211yescharacteristic
154#11718329C2211yescharacteristic
155#11718329C2211yescharacteristic, complemented
156#11718329C2211yescharacteristic, complemented
157#11718329C2211yescharacteristic, complemented
158#11718329C2211yescharacteristic, complemented
159#11718329C2211yescharacteristic, complemented
160#11718328C2211yescharacteristic
161#11718328C2211yescharacteristic
162#11718328C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic
164#11718327C2211yescharacteristic
165#11718326C2211yescharacteristic
166#11718326C2211yescharacteristic
167#11718326C2211yescharacteristic
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175#11718325C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177D13×#95C2211yescharacteristic, complemented
178D13×#95C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718314C2211yescharacteristic, complemented
186#11718314C2211yescharacteristic, complemented
187#11718313C2211yescharacteristic, complemented
188#11718308C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C2×D4×D13—24no—
202C2×D4×D13—24no—
203C2×D4×D13—24no—
204C22×D52C2311yescharacteristic
205C22×D52C2311yescharacteristic
206C22×D52C2311yescharacteristic
207C22×D52C2311yescharacteristic
208C22×C4×D13—24no—
209C22×C4×D13—24no—
210C22×C4×D13—24no—
211C22×C4×D13—24no—
212C22×C4×D13—42no—
213C22×C4×D13—42no—
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×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C4×Q8×C13—24no—
229C4×D4×C13—24no—
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C42×C13C2311yescharacteristic
247C2×C42×C13C2311yescharacteristic
248C2×C42×C13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257#88201—24no—
258#88200—24no—
259#88200—24no—
260D4×Dic13—24no—
261C4×C22⋊D13—24no—
262C4×C22⋊D13—24no—
263C4×C22⋊D13—42no—
264C4×C22⋊D13—42no—
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
295C2×C4⋊Dic13C2311yescharacteristic
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
327#88152—24no—
328#88152—24no—
329#88149—24no—
330#88148—24no—
331#88148—24no—
332#88147—24no—
333C4⋊C4×D13—24no—
334#88144—24no—
335#88138—24no—
336#88137—24no—
337#88136—24no—
338#88136—24no—
339#88135—24no—
340#88135—24no—
341C22⋊C4×D13—24no—
342C22⋊C4×D13—24no—
343C22⋊C4×D13—24no—
344C22⋊C4×D13—24no—
345C4×D52—24no—
346C4×D52—24no—
347C4×D52—24no—
348C4×D52D418yescomplemented
349#88126—24no—
350#88126—24no—
351#88126—42no—
352C42×D13—24no—
353C42×D13—24no—
354C42×D13—42no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34670—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—41no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×Q8×C13—22no—
413C2×Q8×C13—22no—
414C2×Q8×C13—41no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—22no—
421C22×C4×C13—22no—
422C22×C4×C13—22no—
423C22×C4×C13—22no—
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
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C2×C22⋊D13—22no—
438C2×C22⋊D13—22no—
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
443C2×C22⋊D13—22no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—41no—
446C2×C22⋊D13—41no—
447C2×C22⋊D13—41no—
448C2×C22⋊D13#4114yes—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—41no—
454C22×Dic13—41no—
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467D4×D13—232no—
468C2×D52—22no—
469C2×D52—22no—
470C2×D52—22no—
471C2×D52—22no—
472C2×D52—22no—
473C2×D52—22no—
474C2×D52—22no—
475C2×D52—22no—
476C2×D52—22no—
477C2×D52—22no—
478C2×D52—41no—
479C2×D52C2×D414yes—
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—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—416no—
511C2×C4×D13—416no—
512C2×C4×D13—41no—
513C2×C4×D13—41no—
514C2×C4×D13—41no—
515C2×C4×D13—41no—
516C2×C4×D13—41no—
517C2×C4×D13—41no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×C4×D13C2×D414yes—
522C2×C4×D13C2×D414yes—
523C2×C4×D13#4114yes—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊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—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—41no—
537C13×C22⋊C4—41no—
538C42×C13—22no—
539C42×C13—22no—
540C42×C13—22no—
541C42×C13—22no—
542C42×C13C2×D414yes—
543C22⋊Dic13—22no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—41no—
549C22⋊Dic13—41no—
550C22⋊Dic13—41no—
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—22no—
572#6103—41no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103C2×D414yes—
579#6103C2×D414yes—
580#6103#4114yes—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586C4⋊Dic13—41no—
587C4⋊Dic13—41no—
588C4⋊Dic13C2×D414yes—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—41no—
600#6101—41no—
601#6101—41no—
602#6101—41no—
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×Dic13—41no—
613C2×#529—131no—
614C22×C4×D4—131no—
615#2481—131no—
616#2480—131no—
617#2473—131no—
618#2472—131no—
619#2467—131no—
620#2466—131no—
621#2460—131no—
622#2459—131no—
623#2450—131no—
624#2444—131no—
625#2437—131no—
626#2425—131no—
627#2419—131no—
628#2412—131no—
629#2410—131no—
630#2405—131no—
631#2398D1311yescharacteristic, complemented
632#2395—131no—
633#2392—131no—
634#2392—131no—
635C4×C22⋊Q8—131no—
636C4×#123—131no—
637C4×#121—131no—
638C4×#120—131no—
639C4×#120—131no—
640#2290—131no—
641#2290—131no—
642#2280—131no—
643C2×C4×C22⋊C4—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×C13C2×#4112yes—
657C23×C13C2×#4112yes—
658C23×C13C2511yescharacteristic
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—21no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—28no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—28no—
675C22×D13—28no—
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×D13C22×D412yes—
695C22×D13C22×D412yes—
696C22×D13C2×#4112yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701Q8×C13—44no—
702D4×C13—28no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
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×C13—44no—
738C2×C4×C13C22×D412yes—
739C2×C4×C13C22×D412yes—
740C2×C4×C13C22×D412yes—
741C2×C4×C13C2×#4112yes—
742C2×C4×C13C2×#4112yes—
743C2×C4×C13H(5,𝔽2)12yes—
744C22⋊D13—28no—
745C22⋊D13—28no—
746C22⋊D13—44no—
747C22⋊D13—44no—
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—21no—
778C2×Dic13—21no—
779C2×Dic13—44no—
780C2×Dic13—44no—
781C2×Dic13C22×D412yes—
782C2×Dic13C22×D412yes—
783C2×Dic13C2×#4112yes—
784C2×Dic13C2×#4112yes—
785C2×Dic13C2×#4112yes—
786D52—28no—
787D52—44no—
788D52—44no—
789D52—44no—
790C4×D13—28no—
791C4×D13—28no—
792C4×D13—28no—
793C4×D13—28no—
794C4×D13—44no—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—44no—
803C4×D13—44no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#529—268no—
808C2×#126—131no—
809C2×#126—131no—
810C2×#125—131no—
811C2×#124—131no—
812C2×#123—131no—
813C2×#123—131no—
814C2×#123—131no—
815C2×C22⋊Q8—131no—
816C2×C22⋊Q8—131no—
817C2×#121—131no—
818C2×#121—131no—
819C2×#120—131no—
820C2×#120—131no—
821C2×C4×Q8C2×D1311yescharacteristic, complemented
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—
839C22×C4⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C42—131no—
845C22×C42—131no—
846C22×C42—131no—
847#400—131no—
848#400C2×D1311yescharacteristic, complemented
849#400C2×D1311yescharacteristic, complemented
850#399—131no—
851#398—131no—
852#398—131no—
853#398—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
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#393C2×D1311yescharacteristic, complemented
876#393C2×D1311yescharacteristic, complemented
877#392—131no—
878#392—131no—
879#391—131no—
880#390—131no—
881#389—131no—
882#389—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—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#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#385—131no—
913#385—131no—
914#385—131no—
915#385—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#385—131no—
921#385—131no—
922#385—131no—
923#385—131no—
924#385—131no—
925#381—131no—
926#381—131no—
927#381—131no—
928#380—131no—
929#380—131no—
930#380—131no—
931#380—131no—
932#380—131no—
933#380—131no—
934#379—131no—
935#379—131no—
936#379—131no—
937#379—131no—
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4—131no—
941C4×C4⋊C4—131no—
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⋊C4C2×D1311yescharacteristic, complemented
955C4×C22⋊C4C2×D1311yescharacteristic, complemented
956C4×C22⋊C4C2×D1311yescharacteristic, complemented
957C4×C22⋊C4C2×D1311yescharacteristic, complemented
958#376C2×D1311yescharacteristic, complemented
959C2×#95—131no—
960C2×#95—131no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13—41no—
975C22×C13C23×D411yescharacteristic
976C22×C13C22×#4111yescharacteristic
977C22×C13C22×#4111yescharacteristic
978C22×C13C22×#4111yescharacteristic
979C22×C13C22×#4111yescharacteristic
980C22×C13C2×H(5,𝔽2)11yescharacteristic
981C22×C13#58511yescharacteristic
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—22no—
996C2×D13—22no—
997C2×D13—416no—
998C2×D13—416no—
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—41no—
1010C2×D13#52514yes—
1011C2×D13#52914yescomplemented
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13#54614yes—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—22no—
1029Dic13—22no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25—131no—
1038C25—131no—
1039C22×Q8C22×D1311yescharacteristic
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—131no—
1047C22×D4—131no—
1048C22×D4—264no—
1049C22×D4—264no—
1050C22×D4—264no—
1051C22×D4C22×D1311yescharacteristic
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—131no—
1065C23×C4—131no—
1066C23×C4—131no—
1067C23×C4—131no—
1068C23×C4—264no—
1069C23×C4—264no—
1070C23×C4—264no—
1071C23×C4—264no—
1072C23×C4—522no—
1073C23×C4—522no—
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—264no—
1077#126—264no—
1078#125—264no—
1079#124—264no—
1080#123—264no—
1081#123—264no—
1082#123—264no—
1083C22⋊Q8—264no—
1084C22⋊Q8—264no—
1085#121—264no—
1086#121—264no—
1087#120—264no—
1088#120—264no—
1089C4×Q8—24no—
1090C4×D4—24no—
1091C4×D4—138no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—522no—
1102C4×D4—522no—
1103#117—264no—
1104#117—264no—
1105#117—522no—
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—131no—
1127C2×C4⋊C4—131no—
1128C2×C4⋊C4—264no—
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4—131no—
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—264no—
1172C2×C22⋊C4—264no—
1173C2×C22⋊C4—264no—
1174C2×C22⋊C4—264no—
1175C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
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—264no—
1196C2×C42—264no—
1197C2×C42—522no—
1198C2×C42C22×D1311yescharacteristic
1199C2×C42C22×D1311yescharacteristic
1200C2×C42C22×D1311yescharacteristic
1201C2×C42C22×D1311yescharacteristic
1202C2×C42C22×D1311yescharacteristic
1203#95—131no—
1204#95—131no—
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
1237#95C22×D1311yescharacteristic
1238#95C22×D1311yescharacteristic
1239C2×C13—42no—
1240C2×C13—42no—
1241C2×C13C2×#52511yescharacteristic
1242C2×C13C2×#52911yescharacteristic
1243C2×C13#345911yescharacteristic
1244C2×C13C2×#54611yescharacteristic
1245C2×C13D4×#4111yescharacteristic
1246C2×C13#347511yescharacteristic
1247C2×C13#348111yescharacteristic
1248D13—24no—
1249D13—24no—
1250D13—42no—
1251D13—81no—
1252C24—131no—
1253C24—131no—
1254C24—131no—
1255C24—134no—
1256C24—131no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—521no—
1267C24—521no—
1268C24—521no—
1269C24—521no—
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—134no—
1279C2×D4—134no—
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—262no—
1298C2×D4—262no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4—521no—
1302C2×D4—521no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—131no—
1310C22×C4—131no—
1311C22×C4—131no—
1312C22×C4—131no—
1313C22×C4—131no—
1314C22×C4—134no—
1315C22×C4—134no—
1316C22×C4—134no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
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—262no—
1353C22×C4—262no—
1354C22×C4—262no—
1355C22×C4—262no—
1356C22×C4—262no—
1357C22×C4—262no—
1358C22×C4—521no—
1359C22×C4—521no—
1360C22×C4—521no—
1361C22×C4—521no—
1362C22×C4—521no—
1363C22×C4—521no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—5216no—
1368C22×C4—5216no—
1369C22×C4—521no—
1370C22×C4—521no—
1371C22×C4C23×D1311yescharacteristic
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—134no—
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—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—262no—
1404C4⋊C4—521no—
1405C4⋊C4—521no—
1406C4⋊C4—521no—
1407C4⋊C4—521no—
1408C4⋊C4—521no—
1409C4⋊C4—521no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—134no—
1421C22⋊C4—134no—
1422C22⋊C4—134no—
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—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—262no—
1446C22⋊C4—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—521no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—262no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—521no—
1471C42—521no—
1472C42D4×D1314yes—
1473C13#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—132no—
1487C23—132no—
1488C23—132no—
1489C23—132no—
1490C23—132no—
1491C23—132no—
1492C23—132no—
1493C23—268no—
1494C23—268no—
1495C23—268no—
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—261no—
1515C23—261no—
1516C23—261no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23—524no—
1527C23—524no—
1528C23#41×D1312yes—
1529C23#41×D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—268no—
1534D4—268no—
1535D4—268no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539D4—524no—
1540D4—524no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
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—21no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—132no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—132no—
1580C2×C4—132no—
1581C2×C4—268no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—268no—
1593C2×C4—268no—
1594C2×C4—268no—
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—261no—
1614C2×C4—261no—
1615C2×C4—261no—
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×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4—524no—
1628C2×C4C2×D4×D1312yes—
1629C2×C4C2×D4×D1312yes—
1630C2×C4C2×D4×D1312yes—
1631C2×C4#41×D1312yes—
1632C2×C4#41×D1312yes—
1633C2×C4#8825612yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—134no—
1649C22—134no—
1650C22—262no—
1651C22—262no—
1652C22—262no—
1653C22—262no—
1654C22—262no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—262no—
1661C22—262no—
1662C22—262no—
1663C22—262no—
1664C22—262no—
1665C22—5216no—
1666C22—5216no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22—521no—
1678C22C22×D4×D1311yescharacteristic
1679C22C2×#41×D1311yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#41×D1311yescharacteristic
1683C22C2×#8825611yescharacteristic
1684C22#1171964811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—262no—
1698C4—262no—
1699C4—262no—
1700C4—262no—
1701C4—262no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4#1171938114yes—
1710C2—42no—
1711C2—42no—
1712C2—264no—
1713C2—264no—
1714C2—522no—
1715C2—1041no—
1716C2D13×#52511yescharacteristic
1717C2D13×#52911yescharacteristic
1718C2#1312824611yescharacteristic
1719C2C2×#1171938111yescharacteristic
1720C2#1312831911yescharacteristic
1721C2#1312838811yescharacteristic
1722C2#1312844211yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2398C2
prime radical#13118205C2
hypercenter#2398D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2398

Complements

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

NH ≅ G/Ntype
1. C2×#11719285C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13119090C2semidirect
4. #13119083C2semidirect
5. #13118972C2semidirect
6. #13118965C2semidirect
7. #13118880C2semidirect
8. #13118873C2semidirect
9. #13118783C2semidirect
10. #13118776C2semidirect
11. #13118653C2semidirect
12. #13118587C2semidirect
13. #13118496C2semidirect
14. #13118390C2semidirect
15. #13118316C2semidirect
16. #13118225C2semidirect
18. #13118158C2semidirect
19. #13118097C2semidirect
20. #13118080C2semidirect
21. #13118074C2semidirect
22. C4×#88200C2semidirect
23. C4×#88137C2semidirect
24. C4×#88138C2semidirect
25. C4×#88136C2semidirect
26. C4×#88136C2semidirect
27. #13117280C2semidirect
28. #13117280C2semidirect
29. #13117217C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2398C2semidirect
35. C2×C4×Q8×C13C22semidirect
37. C2×#88201C22semidirect
39. C2×#88200C22semidirect
43. C2×C4×C22⋊D13C22semidirect
44. C2×C4×C22⋊D13C22semidirect
47. C2×#88152C22semidirect
48. C2×#88152C22semidirect
51. C2×#88148C22semidirect
54. C2×#88144C22semidirect
67. C2×C4×D52C22semidirect
68. C2×C4×D52C22semidirect
69. C2×#88126C22semidirect
70. C2×#88126C22semidirect
71. C2×#88126C22semidirect
73. C2×C42×D13C22semidirect
74. C2×C42×D13C22semidirect
75. C13×#400C22semidirect
76. C13×#400C22semidirect
77. C13×#397C22semidirect
78. C13×#397C22semidirect
81. C13×#393C22semidirect
82. C13×#393C22semidirect
83. C4×C13×C22⋊C4C22semidirect
84. C4×C13×C22⋊C4C22semidirect
85. C4×C13×C22⋊C4C22semidirect
86. C4×C13×C22⋊C4C22semidirect
87. C13×#376C22semidirect
88. #11718891C22semidirect
91. C4×C22⋊Dic13C22semidirect
92. C4×C22⋊Dic13C22semidirect
93. #11718654C22semidirect
97. #11718641C22semidirect
98. #11718639C22semidirect
99. #11718639C22semidirect
100. #11718634C22semidirect
102. #11718622C22semidirect
103. #11718622C22semidirect
107. #11718620C22semidirect
108. #11718619C22semidirect
109. #11718619C22semidirect
110. #11718618C22semidirect
117. #11718613C22semidirect
118. #11718612C22semidirect
119. #11718612C22semidirect
120. #11718611C22semidirect
121. #11718611C22semidirect
122. #11718610C22semidirect
123. #11718609C22semidirect
124. #11718609C22semidirect
125. #11718609C22semidirect
126. #11718606C22semidirect
127. #11718603C22semidirect
128. #11718603C22semidirect
129. C22⋊C4×Dic13C22semidirect
130. C22⋊C4×Dic13C22semidirect
134. C4×#6103C22semidirect
135. C4×#6103C22semidirect
136. C4×#6103C22semidirect
137. C4×C4⋊Dic13C22semidirect
138. C4×C4⋊Dic13C22semidirect
139. C4×#6101C22semidirect
140. C4×#6101C22semidirect
141. #11718337C22semidirect
142. #11718336C22semidirect
143. #11718336C22semidirect
144. #11718335C22semidirect
145. #11718333C22semidirect
146. #11718331C22semidirect
147. #11718331C22semidirect
148. #11718331C22semidirect
149. #11718331C22semidirect
150. #11718330C22semidirect
155. #11718329C22semidirect
156. #11718329C22semidirect
157. #11718329C22semidirect
158. #11718329C22semidirect
159. #11718329C22semidirect
162. #11718328C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
174. #11718325C22semidirect
175. #11718325C22semidirect
176. #11718325C22semidirect
177. D13×#95C22semidirect
178. D13×#95C22semidirect
179. #11718319C22semidirect
180. #11718318C22semidirect
181. #11718318C22semidirect
182. #11718315C22semidirect
183. #11718314C22semidirect
184. #11718314C22semidirect
185. #11718314C22semidirect
186. #11718314C22semidirect
187. #11718313C22semidirect
188. #11718308C22semidirect
348. C4×D52D4semidirect
631. #2398D13semidirect
821. C2×C4×Q8C2×D13semidirect
848. #400C2×D13semidirect
849. #400C2×D13semidirect
859. #397C2×D13semidirect
860. #397C2×D13semidirect
875. #393C2×D13semidirect
876. #393C2×D13semidirect
954. C4×C22⋊C4C2×D13semidirect
955. C4×C22⋊C4C2×D13semidirect
956. C4×C22⋊C4C2×D13semidirect
957. C4×C22⋊C4C2×D13semidirect
958. #376C2×D13semidirect
1011. C2×D13#529semidirect
1473. C13#34670semidirect

Maximal subgroups

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

subgroupindex
C2×#117192852
C2×C4×D4×D132
#131190902
#131190832
#131189722
#131189652
#131188802
#131188732
#131187832
#131187762
#131186532
#131185872
#131184962
#131183902
#131183162
#131182252
#131182052
#131181582
#131180972
#131180802
#131180742
C4×#882002
C4×#881372
C4×#881382
C4×#881362
#131172802
#131172172
C4×C22⋊C4×D132
C13×#23982
#3467013