Finite Group Databasebeta

← #16030696

Subgroups — #16030696

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×#11719184C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D13C211yesmaximal, characteristic, complemented
3#13119097C211yesmaximal, characteristic, complemented
4#13119082C211yesmaximal, characteristic, complemented
5#13118977C211yesmaximal, characteristic, complemented
6#13118962C211yesmaximal, characteristic, complemented
7#13118887C211yesmaximal, characteristic, complemented
8#13118872C211yesmaximal, characteristic, complemented
9#13118788C211yesmaximal, characteristic, complemented
10#13118773C211yesmaximal, characteristic, complemented
11#13118660C211yesmaximal, characteristic, complemented
12#13118586C211yesmaximal, characteristic, complemented
13#13118497C211yesmaximal, characteristic, complemented
14#13118387C211yesmaximal, characteristic, complemented
15#13118313C211yesmaximal, characteristic, complemented
16#13118232C211yesmaximal, characteristic, complemented
17#13118204C211yesmaximal, characteristic
18#13118163C211yesmaximal, characteristic, complemented
19#13118123C211yesmaximal, characteristic, complemented
20#13118097C211yesmaximal, characteristic, complemented
21#13118080C211yesmaximal, characteristic, complemented
22#13118080C211yesmaximal, characteristic, complemented
23C4×#88132C211yesmaximal, characteristic, complemented
24C4×#88183C211yesmaximal, characteristic, complemented
25C4×#88184C211yesmaximal, characteristic, complemented
26C4×#88136C211yesmaximal, characteristic, complemented
27C4×#88207C211yesmaximal, characteristic, complemented
28#13117279C211yesmaximal, characteristic, complemented
29#13117275C211yesmaximal, characteristic, complemented
30#13117217C211yesmaximal, characteristic, complemented
31C2×C4×C13×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C23×C22⋊D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C22×C42×C13C2211yescharacteristic, complemented
38C22×C42×C13C2211yescharacteristic, complemented
39C2×#88207C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C2×#88184C2211yescharacteristic
42C2×#88184C2211yescharacteristic
43C2×#88183C2211yescharacteristic
44C2×#88183C2211yescharacteristic
45C2×#88183C2211yescharacteristic, complemented
46C2×C4×C22⋊D13—28no—
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic
49C2×C4×C22⋊D13C2211yescharacteristic
50C2×C4×C22⋊D13C2211yescharacteristic
51C2×C4×C22⋊D13C2211yescharacteristic
52C2×C4×C22⋊D13C2211yescharacteristic
53C2×C4×C22⋊D13C2211yescharacteristic
54C2×C4×C22⋊D13C2211yescharacteristic
55C2×C4×C22⋊D13C2211yescharacteristic
56C2×C4×C22⋊D13C2211yescharacteristic, complemented
57C2×C4×C22⋊D13C2211yescharacteristic, complemented
58C22×#6103C2211yescharacteristic
59C2×#88178C2211yescharacteristic, complemented
60C22×#6101C2211yescharacteristic
61C22×C4×Dic13C2211yescharacteristic
62C2×#88136C2211yescharacteristic
63C2×#88132C2211yescharacteristic
64#11719184—28no—
65C2×#88130C2211yescharacteristic, complemented
66C2×#88130C2211yescharacteristic, complemented
67C2×#88129C2211yescharacteristic, complemented
68C2×C4×D52C2211yescharacteristic, complemented
69C2×C4×D52C2211yescharacteristic, complemented
70C2×#88126C2211yescharacteristic, complemented
71C2×#88126C2211yescharacteristic, complemented
72C2×#88126C2211yescharacteristic, complemented
73C2×#88124C2211yescharacteristic, complemented
74C2×C4×Dic26C2211yescharacteristic, complemented
75C4×C13×C22⋊C4C2211yescharacteristic
76C4×C13×C22⋊C4C2211yescharacteristic
77C4×C13×C22⋊C4C2211yescharacteristic
78C4×C13×C22⋊C4C2211yescharacteristic
79C4×C13×C22⋊C4C2211yescharacteristic, complemented
80C4×C13×C22⋊C4C2211yescharacteristic, complemented
81C4×C13×C22⋊C4C2211yescharacteristic, complemented
82C4×C13×C22⋊C4C2211yescharacteristic, complemented
83C2×C13×#95C2211yescharacteristic, complemented
84C2×C13×#95C2211yescharacteristic, complemented
85#11718908C2211yescharacteristic
86#11718874C2211yescharacteristic
87#11718874C2211yescharacteristic
88#11718874C2211yescharacteristic
89#11718874C2211yescharacteristic
90#11718874C2211yescharacteristic
91#11718874C2211yescharacteristic, complemented
92#11718874C2211yescharacteristic, complemented
93#11718874C2211yescharacteristic, complemented
94#11718873C2211yescharacteristic, complemented
95#11718872C2211yescharacteristic, complemented
96#11718871C2211yescharacteristic
97#11718871C2211yescharacteristic, complemented
98#11718871C2211yescharacteristic, complemented
99#11718871C2211yescharacteristic, complemented
100#11718871C2211yescharacteristic, complemented
101#11718871C2211yescharacteristic, complemented
102C4×C22⋊Dic13C2211yescharacteristic
103C4×C22⋊Dic13C2211yescharacteristic, complemented
104C4×C22⋊Dic13C2211yescharacteristic, complemented
105#11718622C2211yescharacteristic
106#11718622C2211yescharacteristic
107#11718621C2211yescharacteristic
108#11718621C2211yescharacteristic
109#11718620C2211yescharacteristic
110#11718620C2211yescharacteristic
111#11718620C2211yescharacteristic
112#11718620C2211yescharacteristic
113#11718620C2211yescharacteristic, complemented
114#11718620C2211yescharacteristic, complemented
115#11718619C2211yescharacteristic
116#11718619C2211yescharacteristic
117#11718619C2211yescharacteristic
118#11718616C2211yescharacteristic
119#11718616C2211yescharacteristic
120#11718616C2211yescharacteristic
121#11718613C2211yescharacteristic, complemented
122#11718613C2211yescharacteristic, complemented
123#11718611C2211yescharacteristic
124#11718611C2211yescharacteristic
125#11718610C2211yescharacteristic, complemented
126#11718609C2211yescharacteristic, complemented
127#11718609C2211yescharacteristic, complemented
128#11718608C2211yescharacteristic, complemented
129#11718607C2211yescharacteristic
130#11718607C2211yescharacteristic
131#11718607C2211yescharacteristic
132#11718603C2211yescharacteristic
133#11718603C2211yescharacteristic
134#11718603C2211yescharacteristic
135#11718601C2211yescharacteristic, complemented
136#11718601C2211yescharacteristic, complemented
137#11718601C2211yescharacteristic, complemented
138#11718601C2211yescharacteristic, complemented
139#11718601C2211yescharacteristic, complemented
140#11718601C2211yescharacteristic, complemented
141#11718600C2211yescharacteristic, complemented
142C4×#6103C2211yescharacteristic, complemented
143C4×#6103C2211yescharacteristic, complemented
144C4×#6103C2211yescharacteristic, complemented
145C4×#6103C2211yescharacteristic, complemented
146C4×#6103C2211yescharacteristic, complemented
147C4×C4⋊Dic13C2211yescharacteristic, complemented
148#11718594C2211yescharacteristic, complemented
149#11718594C2211yescharacteristic, complemented
150#11718594C2211yescharacteristic, complemented
151#11718594C2211yescharacteristic, complemented
152#11718593C2211yescharacteristic, complemented
153C4×#6101C2211yescharacteristic, complemented
154C4×#6101C2211yescharacteristic, complemented
155C4×#6101C2211yescharacteristic, complemented
156#11718589C2211yescharacteristic, complemented
157#11718337C2211yescharacteristic, complemented
158#11718337C2211yescharacteristic, complemented
159#11718336C2211yescharacteristic, complemented
160#11718336C2211yescharacteristic, complemented
161#11718336C2211yescharacteristic, complemented
162#11718336C2211yescharacteristic, complemented
163#11718335C2211yescharacteristic, complemented
164#11718334C2211yescharacteristic, complemented
165#11718333C2211yescharacteristic, complemented
166#11718333C2211yescharacteristic, complemented
167#11718330C2211yescharacteristic, complemented
168#11718330C2211yescharacteristic, complemented
169#11718329C2211yescharacteristic, complemented
170#11718329C2211yescharacteristic, complemented
171#11718328C2211yescharacteristic, complemented
172#11718328C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718326C2211yescharacteristic, complemented
175#11718325C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718319C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718318C2211yescharacteristic, complemented
182#11718318C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718315C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718313C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C23×C4×C13—24no—
192C23×C4×C13—24no—
193C23×C4×C13—42no—
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C23×C4×C13C2311yescharacteristic
203C23×C4×C13C2311yescharacteristic
204C22×C22⋊D13—24no—
205C22×C22⋊D13—24no—
206C22×C22⋊D13—24no—
207C22×C22⋊D13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C22×C22⋊D13C2311yescharacteristic
210C22×C22⋊D13C2311yescharacteristic
211C22×C22⋊D13C2311yescharacteristic
212C22×C22⋊D13C2311yescharacteristic
213C22×C22⋊D13C2311yescharacteristic
214C23×Dic13C2311yescharacteristic
215C23×Dic13C2311yescharacteristic
216C23×Dic13C2311yescharacteristic
217C22×D52C2311yescharacteristic
218C22×D52C2311yescharacteristic
219C22×C4×D13—24no—
220C22×C4×D13—24no—
221C22×C4×D13—42no—
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×Dic26C2311yescharacteristic
228C2×C13×C22⋊C4—24no—
229C2×C13×C22⋊C4—24no—
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C42×C13—24no—
239C2×C42×C13—42no—
240C2×C42×C13C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
245C2×C42×C13C2311yescharacteristic
246C2×C42×C13C2311yescharacteristic
247C2×C42×C13C2311yescharacteristic
248#88207—24no—
249C2×C22⋊Dic13—24no—
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263#88184—24no—
264#88184—24no—
265#88183—24no—
266#88183—24no—
267#88183—24no—
268C4×C22⋊D13—24no—
269C4×C22⋊D13—24no—
270C4×C22⋊D13—24no—
271C4×C22⋊D13—24no—
272C4×C22⋊D13—24no—
273C4×C22⋊D13—24no—
274C4×C22⋊D13—24no—
275C4×C22⋊D13—24no—
276C4×C22⋊D13—24no—
277C4×C22⋊D13—42no—
278C4×C22⋊D13D418yescomplemented
279C2×#6103—24no—
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×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×#6103C2311yescharacteristic
301C2×#6103C2311yescharacteristic
302C2×#6103C2311yescharacteristic
303C2×#6103C2311yescharacteristic
304C2×#6103C2311yescharacteristic
305C2×#6103C2311yescharacteristic
306C2×#6103C2311yescharacteristic
307C2×C4⋊Dic13C2311yescharacteristic
308C2×C4⋊Dic13C2311yescharacteristic
309C2×C4⋊Dic13C2311yescharacteristic
310C2×C4⋊Dic13C2311yescharacteristic
311C2×C4⋊Dic13C2311yescharacteristic
312#88178—24no—
313C2×#6101—24no—
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×#6101C2311yescharacteristic
326C2×#6101C2311yescharacteristic
327C2×#6101C2311yescharacteristic
328C2×#6101C2311yescharacteristic
329C2×#6101C2311yescharacteristic
330C2×#6101C2311yescharacteristic
331C2×#6101C2311yescharacteristic
332C2×#6101C2311yescharacteristic
333C2×#6101C2311yescharacteristic
334C2×#6101C2311yescharacteristic
335C2×C4×Dic13—24no—
336C2×C4×Dic13C2311yescharacteristic
337C2×C4×Dic13C2311yescharacteristic
338C2×C4×Dic13C2311yescharacteristic
339C2×C4×Dic13C2311yescharacteristic
340C2×C4×Dic13C2311yescharacteristic
341C2×C4×Dic13C2311yescharacteristic
342C2×C4×Dic13C2311yescharacteristic
343#88136—24no—
344#88132—24no—
345#88130—24no—
346#88130—24no—
347#88129—24no—
348C4×D52—24no—
349C4×D52—42no—
350#88126—24no—
351#88126—24no—
352#88126—42no—
353#88124—24no—
354C4×Dic26—24no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34670—131nomaximal, Sylow
392C24×C13—22no—
393C24×C13—22no—
394C24×C13—22no—
395C24×C13—22no—
396C24×C13—41no—
397C24×C13—41no—
398C24×C13#4114yes—
399C24×C13C2411yescharacteristic
400C24×C13C2411yescharacteristic
401C24×C13C2411yescharacteristic
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13—41no—
408C23×D13—41no—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C22×C4×C13—22no—
413C22×C4×C13—22no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×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×C13—22no—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—22no—
428C22×C4×C13—22no—
429C22×C4×C13—22no—
430C22×C4×C13—22no—
431C22×C4×C13—22no—
432C22×C4×C13—22no—
433C22×C4×C13—41no—
434C22×C4×C13—41no—
435C22×C4×C13—41no—
436C22×C4×C13—41no—
437C22×C4×C13—41no—
438C22×C4×C13—41no—
439C22×C4×C13—41no—
440C22×C4×C13—416no—
441C22×C4×C13C2×D414yes—
442C22×C4×C13#4114yes—
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C22×C4×C13C2411yescharacteristic
452C22×C4×C13C2411yescharacteristic
453C22×C4×C13C2411yescharacteristic
454C22×C4×C13C2411yescharacteristic
455C2×C22⋊D13—232no—
456C2×C22⋊D13—22no—
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—22no—
462C2×C22⋊D13—22no—
463C2×C22⋊D13—22no—
464C2×C22⋊D13—22no—
465C2×C22⋊D13—22no—
466C2×C22⋊D13—22no—
467C2×C22⋊D13—22no—
468C2×C22⋊D13—22no—
469C2×C22⋊D13—22no—
470C2×C22⋊D13—22no—
471C2×C22⋊D13—22no—
472C2×C22⋊D13—22no—
473C2×C22⋊D13—41no—
474C2×C22⋊D13—41no—
475C2×C22⋊D13C2×D414yes—
476C2×C22⋊D13#4114yes—
477C22×Dic13—22no—
478C22×Dic13—22no—
479C22×Dic13—22no—
480C22×Dic13—22no—
481C22×Dic13—22no—
482C22×Dic13—22no—
483C22×Dic13—22no—
484C22×Dic13—41no—
485C22×Dic13—41no—
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491C22×Dic13C2411yescharacteristic
492C22×Dic13C2411yescharacteristic
493C22×Dic13C2411yescharacteristic
494C22×Dic13C2411yescharacteristic
495C22×Dic13C2411yescharacteristic
496C22×Dic13C2411yescharacteristic
497C22×Dic13C2411yescharacteristic
498C22×Dic13C2411yescharacteristic
499C2×D52—22no—
500C2×D52—22no—
501C2×D52—22no—
502C2×D52—22no—
503C2×D52—41no—
504C2×D52—41no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—22no—
516C2×C4×D13—22no—
517C2×C4×D13—416no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13C2×D414yes—
521C2×Dic26—22no—
522C2×Dic26—22no—
523C2×Dic26—41no—
524C13×C22⋊C4—22no—
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#4114yes—
532C42×C13—22no—
533C42×C13—22no—
534C42×C13—22no—
535C42×C13—22no—
536C42×C13—22no—
537C42×C13—22no—
538C42×C13—41no—
539C42×C13—41no—
540C22⋊Dic13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—41no—
551C22⋊Dic13—41no—
552C22⋊Dic13C2×D414yes—
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—41no—
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—
585#6101—22no—
586#6101—22no—
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—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—41no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604#6101—41no—
605#6101C2×D414yes—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—22no—
612C4×Dic13C2×D414yes—
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#2398—131no—
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⋊C4D1311yescharacteristic, complemented
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—28no—
653C23×C13—28no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—44no—
661C23×C13—44no—
662C23×C13—44no—
663C23×C13—44no—
664C23×C13—44no—
665C23×C13C22×D412yes—
666C23×C13C2×#4112yes—
667C23×C13C2×#4112yes—
668C23×C13C2×#4112yes—
669C23×C13C2×#4112yes—
670C23×C13C2×#4112yes—
671C23×C13C2×#4112yes—
672C23×C13C2511yescharacteristic
673C22×D13—28no—
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—21no—
684C22×D13—21no—
685C22×D13—21no—
686C22×D13—21no—
687C22×D13—21no—
688C22×D13—21no—
689C22×D13—21no—
690C22×D13—21no—
691C22×D13—21no—
692C22×D13—21no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13—44no—
697C22×D13—44no—
698C22×D13—44no—
699C22×D13C22×D412yes—
700C22×D13C2×#4112yes—
701C2×C4×C13—21no—
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—21no—
709C2×C4×C13—28no—
710C2×C4×C13—28no—
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—44no—
733C2×C4×C13—44no—
734C2×C4×C13—44no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13—44no—
738C2×C4×C13—44no—
739C2×C4×C13—44no—
740C2×C4×C13C22×D412yes—
741C2×C4×C13C22×D412yes—
742C2×C4×C13C2×#4112yes—
743C2×C4×C13C2×#4112yes—
744C2×C4×C13C2×#4112yes—
745C2×C4×C13C2×#4112yes—
746C2×C4×C13H(5,𝔽2)12yes—
747C22⋊D13—28no—
748C22⋊D13—28no—
749C22⋊D13—28no—
750C22⋊D13—28no—
751C22⋊D13—44no—
752C22⋊D13—44no—
753C22⋊D13—44no—
754C2×Dic13—28no—
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—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—44no—
791C2×Dic13—44no—
792C2×Dic13C22×D412yes—
793C2×Dic13C22×D412yes—
794C2×Dic13C22×D412yes—
795C2×Dic13C2×#4112yes—
796D52—44no—
797D52—44no—
798C4×D13—28no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—44no—
803Dic26—44no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4C2×D1311yescharacteristic
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×Q8—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—131no—
835C2×C4×D4—268no—
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839C22×C4⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4C2×D1311yescharacteristic
843C22×C22⋊C4C2×D1311yescharacteristic
844C22×C42—131no—
845C22×C42C2×D1311yescharacteristic, complemented
846C22×C42C2×D1311yescharacteristic, complemented
847#400—131no—
848#400—131no—
849#400—131no—
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#397—131no—
860#397—131no—
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#394—131no—
874#394—131no—
875#393—131no—
876#393—131no—
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⋊C4C2×D1311yescharacteristic
951C4×C22⋊C4C2×D1311yescharacteristic
952C4×C22⋊C4C2×D1311yescharacteristic
953C4×C22⋊C4C2×D1311yescharacteristic
954C4×C22⋊C4C2×D1311yescharacteristic, complemented
955C4×C22⋊C4C2×D1311yescharacteristic, complemented
956C4×C22⋊C4C2×D1311yescharacteristic, complemented
957C4×C22⋊C4C2×D1311yescharacteristic, complemented
958#376—131no—
959C2×#95C2×D1311yescharacteristic, complemented
960C2×#95C2×D1311yescharacteristic, complemented
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—22no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—22no—
971C22×C13—22no—
972C22×C13—22no—
973C22×C13—22no—
974C22×C13—22no—
975C22×C13—22no—
976C22×C13—416no—
977C22×C13—41no—
978C22×C13—41no—
979C22×C13—41no—
980C22×C13—41no—
981C22×C13#52514yes—
982C22×C13#52914yescomplemented
983C22×C13C23×D411yescharacteristic
984C22×C13C22×#4111yescharacteristic
985C22×C13C22×#4111yescharacteristic
986C22×C13C22×#4111yescharacteristic
987C22×C13C22×#4111yescharacteristic
988C22×C13C2×H(5,𝔽2)11yescharacteristic
989C22×C13#58511yescharacteristic
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—22no—
995C2×D13—22no—
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—41no—
1010C2×D13—41no—
1011C2×D13—41no—
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—22no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13#54614yes—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25—131no—
1038C25C22×D1311yescharacteristic
1039C22×Q8—131no—
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—131no—
1049C22×D4—264no—
1050C22×D4—264no—
1051C22×D4—264no—
1052C23×C4—24no—
1053C23×C4—24no—
1054C23×C4—42no—
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—264no—
1064C23×C4—264no—
1065C23×C4—522no—
1066C23×C4C22×D1311yescharacteristic
1067C23×C4C22×D1311yescharacteristic
1068C23×C4C22×D1311yescharacteristic
1069C23×C4C22×D1311yescharacteristic
1070C23×C4C22×D1311yescharacteristic
1071C23×C4C22×D1311yescharacteristic
1072C23×C4C22×D1311yescharacteristic
1073C23×C4C22×D1311yescharacteristic
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—264no—
1090C4×D4—138no—
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—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—131no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—264no—
1133C2×C22⋊C4—24no—
1134C2×C22⋊C4—24no—
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—131no—
1175C2×C22⋊C4—264no—
1176C2×C22⋊C4—264no—
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—24no—
1186C2×C42—42no—
1187C2×C42—131no—
1188C2×C42—131no—
1189C2×C42—131no—
1190C2×C42—131no—
1191C2×C42—131no—
1192C2×C42—131no—
1193C2×C42—131no—
1194C2×C42—264no—
1195C2×C42C22×D1311yescharacteristic
1196C2×C42C22×D1311yescharacteristic
1197C2×C42C22×D1311yescharacteristic
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#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
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—24no—
1240C2×C13—24no—
1241C2×C13—42no—
1242C2×C13C2×#52511yescharacteristic
1243C2×C13C2×#52911yescharacteristic
1244C2×C13#345911yescharacteristic
1245C2×C13C2×#54611yescharacteristic
1246C2×C13D4×#4111yescharacteristic
1247C2×C13#347511yescharacteristic
1248C2×C13#348111yescharacteristic
1249D13—42no—
1250D13—42no—
1251D13—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—41no—
1257C24—41no—
1258C24—131no—
1259C24—131no—
1260C24—131no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—521no—
1267C24—521no—
1268C24#612714yes—
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—262no—
1274C2×Q8—521no—
1275C2×D4—134no—
1276C2×D4—134no—
1277C2×D4—262no—
1278C2×D4—262no—
1279C2×D4—262no—
1280C2×D4—262no—
1281C2×D4—262no—
1282C2×D4—262no—
1283C2×D4—2632no—
1284C2×D4—262no—
1285C2×D4—262no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—262no—
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—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—416no—
1332C22×C4—131no—
1333C22×C4—131no—
1334C22×C4—131no—
1335C22×C4—131no—
1336C22×C4—134no—
1337C22×C4—131no—
1338C22×C4—131no—
1339C22×C4—131no—
1340C22×C4—131no—
1341C22×C4—131no—
1342C22×C4—131no—
1343C22×C4—131no—
1344C22×C4—131no—
1345C22×C4—131no—
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—521no—
1366C22×C4—521no—
1367C22×C4—5216no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4#612714yes—
1371C22×C4D4×D1314yes—
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—134no—
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—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—134no—
1418C22⋊C4—134no—
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—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—262no—
1446C22⋊C4—521no—
1447C22⋊C4—521no—
1448C22⋊C4—521no—
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#612714yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—41no—
1465C42—41no—
1466C42—134no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—262no—
1471C42—262no—
1472C42—262no—
1473C13#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—132no—
1496C23—132no—
1497C23—268no—
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—
1523C23C2×#612712yes—
1524C23C2×#612712yes—
1525C23C2×#612712yes—
1526C23C2×#612712yes—
1527C23C2×#612712yes—
1528C23C2×D4×D1312yes—
1529C23#41×D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—524no—
1532D4—268no—
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—28no—
1550C2×C4—28no—
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—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—132no—
1581C2×C4—132no—
1582C2×C4—132no—
1583C2×C4—132no—
1584C2×C4—268no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—268no—
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—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4C2×#612712yes—
1628C2×C4C2×#612712yes—
1629C2×C4C2×#612712yes—
1630C2×C4C2×#612712yes—
1631C2×C4C2×D4×D1312yes—
1632C2×C4C2×D4×D1312yes—
1633C2×C4#8825112yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—262no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—5216no—
1661C22—521no—
1662C22—521no—
1663C22—521no—
1664C22—521no—
1665C22—521no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22#1171918414yescomplemented
1677C22#1171925214yes—
1678C22C22×#612711yescharacteristic
1679C22C22×#612711yescharacteristic
1680C22C22×#612711yescharacteristic
1681C22C22×D4×D1311yescharacteristic
1682C22C2×#8825111yescharacteristic
1683C22C2×#41×D1311yescharacteristic
1684C22#1171964811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—262no—
1697C4—262no—
1698C4—262no—
1699C4—262no—
1700C4—521no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4#1171919514yes—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—522no—
1714C2—522no—
1715C2—1041no—
1716C2C2×#1171925211yescharacteristic
1717C2C2×#1171918411yescharacteristic
1718C2#1312824511yescharacteristic
1719C2C2×#1171919511yescharacteristic
1720C2D4×#612711yescharacteristic
1721C2#1312839011yescharacteristic
1722C2#1312844011yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC2×C4×C13×C22⋊C4C2
prime radical#13118204C2
hypercenterC2×C4×C22⋊C4D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#11719184C2semidirect
2. C22×C4×C22⋊D13C2semidirect
3. #13119097C2semidirect
4. #13119082C2semidirect
5. #13118977C2semidirect
6. #13118962C2semidirect
7. #13118887C2semidirect
8. #13118872C2semidirect
9. #13118788C2semidirect
10. #13118773C2semidirect
11. #13118660C2semidirect
12. #13118586C2semidirect
13. #13118497C2semidirect
14. #13118387C2semidirect
15. #13118313C2semidirect
16. #13118232C2semidirect
18. #13118163C2semidirect
19. #13118123C2semidirect
20. #13118097C2semidirect
21. #13118080C2semidirect
22. #13118080C2semidirect
23. C4×#88132C2semidirect
24. C4×#88183C2semidirect
25. C4×#88184C2semidirect
26. C4×#88136C2semidirect
27. C4×#88207C2semidirect
28. #13117279C2semidirect
29. #13117275C2semidirect
30. #13117217C2semidirect
31. C2×C4×C13×C22⋊C4C2semidirect
37. C22×C42×C13C22semidirect
38. C22×C42×C13C22semidirect
45. C2×#88183C22semidirect
56. C2×C4×C22⋊D13C22semidirect
57. C2×C4×C22⋊D13C22semidirect
59. C2×#88178C22semidirect
65. C2×#88130C22semidirect
66. C2×#88130C22semidirect
67. C2×#88129C22semidirect
68. C2×C4×D52C22semidirect
69. C2×C4×D52C22semidirect
70. C2×#88126C22semidirect
71. C2×#88126C22semidirect
72. C2×#88126C22semidirect
73. C2×#88124C22semidirect
74. C2×C4×Dic26C22semidirect
79. C4×C13×C22⋊C4C22semidirect
80. C4×C13×C22⋊C4C22semidirect
81. C4×C13×C22⋊C4C22semidirect
82. C4×C13×C22⋊C4C22semidirect
83. C2×C13×#95C22semidirect
84. C2×C13×#95C22semidirect
91. #11718874C22semidirect
92. #11718874C22semidirect
93. #11718874C22semidirect
94. #11718873C22semidirect
95. #11718872C22semidirect
97. #11718871C22semidirect
98. #11718871C22semidirect
99. #11718871C22semidirect
100. #11718871C22semidirect
101. #11718871C22semidirect
103. C4×C22⋊Dic13C22semidirect
104. C4×C22⋊Dic13C22semidirect
113. #11718620C22semidirect
114. #11718620C22semidirect
121. #11718613C22semidirect
122. #11718613C22semidirect
125. #11718610C22semidirect
126. #11718609C22semidirect
127. #11718609C22semidirect
128. #11718608C22semidirect
135. #11718601C22semidirect
136. #11718601C22semidirect
137. #11718601C22semidirect
138. #11718601C22semidirect
139. #11718601C22semidirect
140. #11718601C22semidirect
141. #11718600C22semidirect
142. C4×#6103C22semidirect
143. C4×#6103C22semidirect
144. C4×#6103C22semidirect
145. C4×#6103C22semidirect
146. C4×#6103C22semidirect
147. C4×C4⋊Dic13C22semidirect
148. #11718594C22semidirect
149. #11718594C22semidirect
150. #11718594C22semidirect
151. #11718594C22semidirect
152. #11718593C22semidirect
153. C4×#6101C22semidirect
154. C4×#6101C22semidirect
155. C4×#6101C22semidirect
156. #11718589C22semidirect
157. #11718337C22semidirect
158. #11718337C22semidirect
159. #11718336C22semidirect
160. #11718336C22semidirect
161. #11718336C22semidirect
162. #11718336C22semidirect
163. #11718335C22semidirect
164. #11718334C22semidirect
165. #11718333C22semidirect
166. #11718333C22semidirect
167. #11718330C22semidirect
168. #11718330C22semidirect
169. #11718329C22semidirect
170. #11718329C22semidirect
171. #11718328C22semidirect
172. #11718328C22semidirect
173. #11718326C22semidirect
174. #11718326C22semidirect
175. #11718325C22semidirect
176. #11718325C22semidirect
177. #11718321C22semidirect
178. #11718319C22semidirect
179. #11718319C22semidirect
180. #11718318C22semidirect
181. #11718318C22semidirect
182. #11718318C22semidirect
183. #11718316C22semidirect
184. #11718315C22semidirect
185. #11718313C22semidirect
186. #11718313C22semidirect
187. #11718308C22semidirect
188. #11718307C22semidirect
278. C4×C22⋊D13D4semidirect
643. C2×C4×C22⋊C4D13semidirect
845. C22×C42C2×D13semidirect
846. C22×C42C2×D13semidirect
954. C4×C22⋊C4C2×D13semidirect
955. C4×C22⋊C4C2×D13semidirect
956. C4×C22⋊C4C2×D13semidirect
957. C4×C22⋊C4C2×D13semidirect
959. C2×#95C2×D13semidirect
960. C2×#95C2×D13semidirect
982. C22×C13#529semidirect
1473. C13#34670semidirect
1676. C22#11719184semidirect

Maximal subgroups

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

subgroupindex
C2×#117191842
C22×C4×C22⋊D132
#131190972
#131190822
#131189772
#131189622
#131188872
#131188722
#131187882
#131187732
#131186602
#131185862
#131184972
#131183872
#131183132
#131182322
#131182042
#131181632
#131181232
#131180972
#131180802
C4×#881322
C4×#881832
C4×#881842
C4×#881362
C4×#882072
#131172792
#131172752
#131172172
C2×C4×C13×C22⋊C42
#3467013