Finite Group Databasebeta

← #16030684

Subgroups — #16030684

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×#11719233C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D13C211yesmaximal, characteristic, complemented
3#13119104C211yesmaximal, characteristic, complemented
4#13119081C211yesmaximal, characteristic, complemented
5#13118982C211yesmaximal, characteristic, complemented
6#13118959C211yesmaximal, characteristic, complemented
7#13118894C211yesmaximal, characteristic, complemented
8#13118871C211yesmaximal, characteristic, complemented
9#13118793C211yesmaximal, characteristic, complemented
10#13118770C211yesmaximal, characteristic, complemented
11#13118667C211yesmaximal, characteristic, complemented
12#13118585C211yesmaximal, characteristic, complemented
13#13118504C211yesmaximal, characteristic, complemented
14#13118384C211yesmaximal, characteristic, complemented
15#13118310C211yesmaximal, characteristic, complemented
16#13118229C211yesmaximal, characteristic, complemented
17#13118212C211yesmaximal, characteristic
18#13118161C211yesmaximal, characteristic, complemented
19#13118123C211yesmaximal, characteristic, complemented
20#13118093C211yesmaximal, characteristic, complemented
21#13118080C211yesmaximal, characteristic, complemented
22#13118072C211yesmaximal, characteristic, complemented
23C4×#88132C211yesmaximal, characteristic, complemented
24C4×#88137C211yesmaximal, characteristic, complemented
25C4×#88138C211yesmaximal, characteristic, complemented
26C4×#88136C211yesmaximal, characteristic, complemented
27C4×#88207C211yesmaximal, characteristic, complemented
28#13117275C211yesmaximal, characteristic, complemented
29#13117273C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C23×C22⋊D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#117C2211yescharacteristic, complemented
36C2×C13×#117C2211yescharacteristic, complemented
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×C4×C22⋊D13—28no—
40C2×C4×C22⋊D13C2211yescharacteristic
41C2×C4×C22⋊D13C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic
49C2×C4×C22⋊D13C2211yescharacteristic, complemented
50C2×C4×C22⋊D13C2211yescharacteristic, complemented
51C22×#6103C2211yescharacteristic
52C22×#6101C2211yescharacteristic
53C22×C4×Dic13C2211yescharacteristic
54#11719233—28no—
55C2×#88152C2211yescharacteristic, complemented
56C2×#88150C2211yescharacteristic, complemented
57C2×#88148C2211yescharacteristic, complemented
58C2×#88143C2211yescharacteristic, complemented
59C2×#88139C2211yescharacteristic, complemented
60C2×#88138C2211yescharacteristic
61C2×#88138C2211yescharacteristic
62C2×#88137C2211yescharacteristic
63C2×#88137C2211yescharacteristic
64C2×#88136C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×#88133C2211yescharacteristic, complemented
68C2×#88132C2211yescharacteristic
69C2×C4×D52C2211yescharacteristic, complemented
70C2×C4×D52C2211yescharacteristic, complemented
71C2×#88126C2211yescharacteristic, complemented
72C2×C42×D13C2211yescharacteristic, complemented
73C2×C42×D13C2211yescharacteristic, complemented
74C2×C4×Dic26C2211yescharacteristic, complemented
75C13×#381C2211yescharacteristic, complemented
76C13×#381C2211yescharacteristic, complemented
77C13×#380C2211yescharacteristic
78C13×#380C2211yescharacteristic
79C13×#380C2211yescharacteristic, complemented
80C13×#380C2211yescharacteristic, complemented
81C13×#379C2211yescharacteristic
82C13×#379C2211yescharacteristic
83C4×C13×C22⋊C4C2211yescharacteristic
84C4×C13×C22⋊C4C2211yescharacteristic
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86C4×C13×C22⋊C4C2211yescharacteristic, complemented
87#11718908C2211yescharacteristic
88#11718874C2211yescharacteristic
89#11718874C2211yescharacteristic, complemented
90#11718874C2211yescharacteristic, complemented
91#11718871C2211yescharacteristic
92#11718871C2211yescharacteristic, complemented
93#11718871C2211yescharacteristic, complemented
94C4×C22⋊Dic13C2211yescharacteristic
95C4×C22⋊Dic13C2211yescharacteristic, complemented
96C4×C22⋊Dic13C2211yescharacteristic, complemented
97#11718655C2211yescharacteristic, complemented
98#11718655C2211yescharacteristic, complemented
99#11718654C2211yescharacteristic, complemented
100#11718653C2211yescharacteristic, complemented
101#11718652C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718650C2211yescharacteristic, complemented
104#11718644C2211yescharacteristic, complemented
105#11718643C2211yescharacteristic, complemented
106#11718641C2211yescharacteristic, complemented
107#11718639C2211yescharacteristic, complemented
108#11718639C2211yescharacteristic, complemented
109#11718622C2211yescharacteristic
110#11718622C2211yescharacteristic
111#11718622C2211yescharacteristic, complemented
112#11718621C2211yescharacteristic
113#11718621C2211yescharacteristic
114#11718620C2211yescharacteristic
115#11718620C2211yescharacteristic
116#11718620C2211yescharacteristic
117#11718620C2211yescharacteristic
118#11718620C2211yescharacteristic, complemented
119#11718619C2211yescharacteristic
120#11718619C2211yescharacteristic
121#11718619C2211yescharacteristic
122#11718618C2211yescharacteristic, complemented
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718616C2211yescharacteristic
128#11718614C2211yescharacteristic, complemented
129#11718613C2211yescharacteristic, complemented
130#11718613C2211yescharacteristic, complemented
131#11718613C2211yescharacteristic, complemented
132#11718612C2211yescharacteristic, complemented
133#11718612C2211yescharacteristic, complemented
134#11718611C2211yescharacteristic
135#11718611C2211yescharacteristic
136#11718609C2211yescharacteristic, complemented
137#11718608C2211yescharacteristic, complemented
138#11718607C2211yescharacteristic
139#11718607C2211yescharacteristic
140#11718607C2211yescharacteristic
141#11718606C2211yescharacteristic, complemented
142#11718605C2211yescharacteristic, complemented
143#11718605C2211yescharacteristic, complemented
144#11718603C2211yescharacteristic
145C22⋊C4×Dic13C2211yescharacteristic
146C22⋊C4×Dic13C2211yescharacteristic
147C4×#6103C2211yescharacteristic, complemented
148C4×#6103C2211yescharacteristic, complemented
149C4×#6103C2211yescharacteristic, complemented
150C4×#6103C2211yescharacteristic, complemented
151C4×#6103C2211yescharacteristic, complemented
152C4×C4⋊Dic13C2211yescharacteristic, complemented
153#11718593C2211yescharacteristic, complemented
154C4×#6101C2211yescharacteristic, complemented
155C4×#6101C2211yescharacteristic, complemented
156C4×#6101C2211yescharacteristic, complemented
157#11718337C2211yescharacteristic, complemented
158#11718336C2211yescharacteristic, complemented
159#11718336C2211yescharacteristic, complemented
160#11718334C2211yescharacteristic, complemented
161#11718333C2211yescharacteristic, complemented
162#11718330C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718329C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic, complemented
168#11718328C2211yescharacteristic, complemented
169#11718327C2211yescharacteristic, complemented
170#11718327C2211yescharacteristic, complemented
171#11718326C2211yescharacteristic, complemented
172#11718326C2211yescharacteristic, complemented
173#11718326C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175D13×#95C2211yescharacteristic, complemented
176D13×#95C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718313C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718313C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, 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
200C22×C22⋊D13—24no—
201C22×C22⋊D13—24no—
202C22×C22⋊D13—24no—
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C22×C22⋊D13C2311yescharacteristic
207C22×C22⋊D13C2311yescharacteristic
208C22×C22⋊D13C2311yescharacteristic
209C22×C22⋊D13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C22×D52C2311yescharacteristic
214C22×D52C2311yescharacteristic
215C22×C4×D13—24no—
216C22×C4×D13—24no—
217C22×C4×D13—42no—
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×Dic26C2311yescharacteristic
228C13×#117—24no—
229C13×#117—42no—
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×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C42×C13C2311yescharacteristic
247C2×C42×C13C2311yescharacteristic
248C2×C42×C13C2311yescharacteristic
249C2×C42×C13C2311yescharacteristic
250#88207—24no—
251C2×C22⋊Dic13—24no—
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
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C4×C22⋊D13—24no—
266C4×C22⋊D13—24no—
267C4×C22⋊D13—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—42no—
275C4×C22⋊D13D418yescomplemented
276C2×#6103—24no—
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×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×#6103C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×C4⋊Dic13C2311yescharacteristic
303C2×C4⋊Dic13C2311yescharacteristic
304C2×C4⋊Dic13C2311yescharacteristic
305C2×#6101—24no—
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×C4×Dic13—24no—
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332C2×C4×Dic13C2311yescharacteristic
333C2×C4×Dic13C2311yescharacteristic
334C2×C4×Dic13C2311yescharacteristic
335#88152—24no—
336#88150—24no—
337#88148—24no—
338#88143—24no—
339#88139—24no—
340#88138—24no—
341#88138—24no—
342#88137—24no—
343#88137—24no—
344#88136—24no—
345C22⋊C4×D13—24no—
346C22⋊C4×D13—24no—
347#88133—24no—
348#88132—24no—
349C4×D52—24no—
350C4×D52—42no—
351#88126—24no—
352C42×D13—24no—
353C42×D13—42no—
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—22no—
397C24×C13—41no—
398C24×C13—41no—
399C24×C13C2411yescharacteristic
400C24×C13C2411yescharacteristic
401C24×C13C2411yescharacteristic
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13#4114yes—
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—41no—
426C22×C4×C13—41no—
427C22×C4×C13—41no—
428C22×C4×C13—416no—
429C22×C4×C13C2×D414yes—
430C22×C4×C13#4114yes—
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C2×C22⋊D13—232no—
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
451C2×C22⋊D13—22no—
452C2×C22⋊D13—22no—
453C2×C22⋊D13—22no—
454C2×C22⋊D13—22no—
455C2×C22⋊D13—22no—
456C2×C22⋊D13—22no—
457C2×C22⋊D13—22no—
458C2×C22⋊D13—22no—
459C2×C22⋊D13—22no—
460C2×C22⋊D13—22no—
461C2×C22⋊D13—41no—
462C2×C22⋊D13—41no—
463C2×C22⋊D13C2×D414yes—
464C2×C22⋊D13#4114yes—
465C22×Dic13—22no—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—22no—
470C22×Dic13—22no—
471C22×Dic13—22no—
472C22×Dic13—41no—
473C22×Dic13—41no—
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2411yescharacteristic
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C2×D52—22no—
488C2×D52—22no—
489C2×D52—22no—
490C2×D52—22no—
491C2×D52—41no—
492C2×D52—41no—
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—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—416no—
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×D13C2×D414yes—
521C2×Dic26—22no—
522C2×Dic26—22no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—41no—
527C13×C4⋊C4—41no—
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—
538C13×C22⋊C4—41no—
539C13×C22⋊C4—41no—
540C42×C13—22no—
541C42×C13—22no—
542C42×C13—22no—
543C42×C13—22no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—41no—
554C22⋊Dic13—41no—
555C22⋊Dic13C2×D414yes—
556C22⋊Dic13#4114yes—
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—22no—
573#6103—22no—
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—41no—
599#6101—41no—
600#6101—41no—
601#6101C2×D414yes—
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—41no—
611C4×Dic13—41no—
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#2280D1311yescharacteristic, complemented
643C2×C4×C22⋊C4—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—28no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—44no—
662C23×C13—44no—
663C23×C13—44no—
664C23×C13—44no—
665C23×C13—44no—
666C23×C13—44no—
667C23×C13C22×D412yes—
668C23×C13C2×#4112yes—
669C23×C13C2×#4112yes—
670C23×C13C2×#4112yes—
671C23×C13C2×#4112yes—
672C23×C13C2511yescharacteristic
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—28no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—28no—
685C22×D13—21no—
686C22×D13—21no—
687C22×D13—21no—
688C22×D13—21no—
689C22×D13—21no—
690C22×D13—21no—
691C22×D13—21no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13—44no—
697C22×D13C22×D412yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—28no—
706C2×C4×C13—28no—
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—44no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13—44no—
738C2×C4×C13C22×D412yes—
739C2×C4×C13C22×D412yes—
740C2×C4×C13C2×#4112yes—
741C2×C4×C13C2×#4112yes—
742C2×C4×C13H(5,𝔽2)12yes—
743C22⋊D13—28no—
744C22⋊D13—28no—
745C22⋊D13—28no—
746C22⋊D13—28no—
747C22⋊D13—44no—
748C22⋊D13—44no—
749C22⋊D13—44no—
750C2×Dic13—28no—
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—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—44no—
785C2×Dic13—44no—
786C2×Dic13C22×D412yes—
787C2×Dic13C22×D412yes—
788C2×Dic13C22×D412yes—
789C2×Dic13C2×#4112yes—
790C2×Dic13C2×#4112yes—
791C2×Dic13C2×#4112yes—
792D52—44no—
793D52—44no—
794C4×D13—28no—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
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×#117C2×D1311yescharacteristic, complemented
838C2×#117C2×D1311yescharacteristic, complemented
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#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#381C2×D1311yescharacteristic, complemented
927#381C2×D1311yescharacteristic, complemented
928#380—131no—
929#380—131no—
930#380C2×D1311yescharacteristic
931#380C2×D1311yescharacteristic
932#380C2×D1311yescharacteristic, complemented
933#380C2×D1311yescharacteristic, complemented
934#379—131no—
935#379—131no—
936#379C2×D1311yescharacteristic
937#379C2×D1311yescharacteristic
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
955C4×C22⋊C4C2×D1311yescharacteristic
956C4×C22⋊C4C2×D1311yescharacteristic, complemented
957C4×C22⋊C4C2×D1311yescharacteristic, complemented
958#376—131no—
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—22no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—22no—
971C22×C13—22no—
972C22×C13—22no—
973C22×C13—416no—
974C22×C13—41no—
975C22×C13—41no—
976C22×C13—41no—
977C22×C13—41no—
978C22×C13—41no—
979C22×C13—41no—
980C22×C13—41no—
981C22×C13—41no—
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—22no—
997C2×D13—22no—
998C2×D13—22no—
999C2×D13—416no—
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#52514yes—
1012C4×C13—22no—
1013C4×C13—22no—
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—41no—
1023C4×C13#54614yes—
1024Dic13—22no—
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—
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—131no—
1064C23×C4—131no—
1065C23×C4—131no—
1066C23×C4—131no—
1067C23×C4—264no—
1068C23×C4—264no—
1069C23×C4—522no—
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—24no—
1104#117—42no—
1105#117—264no—
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—264no—
1170C2×C22⋊C4—264no—
1171C2×C22⋊C4—264no—
1172C2×C22⋊C4—264no—
1173C2×C22⋊C4C22×D1311yescharacteristic
1174C2×C22⋊C4C22×D1311yescharacteristic
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—131no—
1196C2×C42—264no—
1197C2×C42—264no—
1198C2×C42—522no—
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—42no—
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—24no—
1250D13—42no—
1251D13—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—131no—
1260C24—131no—
1261C24—134no—
1262C24—131no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—262no—
1267C24—521no—
1268C24—521no—
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—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—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—416no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—134no—
1327C22×C4—131no—
1328C22×C4—131no—
1329C22×C4—131no—
1330C22×C4—131no—
1331C22×C4—131no—
1332C22×C4—131no—
1333C22×C4—131no—
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—262no—
1359C22×C4—262no—
1360C22×C4—262no—
1361C22×C4—521no—
1362C22×C4—521no—
1363C22×C4—521no—
1364C22×C4—521no—
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—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
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—262no—
1405C4⋊C4—262no—
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—41no—
1421C22⋊C4—41no—
1422C22⋊C4—134no—
1423C22⋊C4—134no—
1424C22⋊C4—134no—
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—262no—
1450C22⋊C4—262no—
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—134no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—262no—
1471C42—521no—
1472C42—521no—
1473C13#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—28no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—132no—
1498C23—132no—
1499C23—132no—
1500C23—132no—
1501C23—268no—
1502C23—261no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—268no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—261no—
1515C23—261no—
1516C23—261no—
1517C23—261no—
1518C23—261no—
1519C23—261no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23C2×#612712yes—
1526C23C2×D4×D1312yes—
1527C23#41×D1312yes—
1528C23#41×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—28no—
1546C2×C4—28no—
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—44no—
1577C2×C4—44no—
1578C2×C4—132no—
1579C2×C4—132no—
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—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—268no—
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—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×C4—524no—
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—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—134no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—262no—
1661C22—262no—
1662C22—262no—
1663C22—262no—
1664C22—262no—
1665C22—5216no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22#1171923314yescomplemented
1678C22C22×#612711yescharacteristic
1679C22C22×D4×D1311yescharacteristic
1680C22C2×#8825111yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#41×D1311yescharacteristic
1683C22C2×#41×D1311yescharacteristic
1684C22#1171964811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—262no—
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#1171919514yes—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—264no—
1714C2—522no—
1715C2—1041no—
1716C2D13×#52511yescharacteristic
1717C2C2×#1171923311yescharacteristic
1718C2#1312824311yescharacteristic
1719C2C2×#1171919511yescharacteristic
1720C2#1312831911yescharacteristic
1721C2#1312839011yescharacteristic
1722C2#1312843811yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2280C2
prime radical#13118212C2
hypercenter#2280D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2280

Complements

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

NH ≅ G/Ntype
1. C2×#11719233C2semidirect
2. C22×C4×C22⋊D13C2semidirect
3. #13119104C2semidirect
4. #13119081C2semidirect
5. #13118982C2semidirect
6. #13118959C2semidirect
7. #13118894C2semidirect
8. #13118871C2semidirect
9. #13118793C2semidirect
10. #13118770C2semidirect
11. #13118667C2semidirect
12. #13118585C2semidirect
13. #13118504C2semidirect
14. #13118384C2semidirect
15. #13118310C2semidirect
16. #13118229C2semidirect
18. #13118161C2semidirect
19. #13118123C2semidirect
20. #13118093C2semidirect
21. #13118080C2semidirect
22. #13118072C2semidirect
23. C4×#88132C2semidirect
24. C4×#88137C2semidirect
25. C4×#88138C2semidirect
26. C4×#88136C2semidirect
27. C4×#88207C2semidirect
28. #13117275C2semidirect
29. #13117273C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2280C2semidirect
35. C2×C13×#117C22semidirect
36. C2×C13×#117C22semidirect
49. C2×C4×C22⋊D13C22semidirect
50. C2×C4×C22⋊D13C22semidirect
55. C2×#88152C22semidirect
56. C2×#88150C22semidirect
57. C2×#88148C22semidirect
58. C2×#88143C22semidirect
59. C2×#88139C22semidirect
67. C2×#88133C22semidirect
69. C2×C4×D52C22semidirect
70. C2×C4×D52C22semidirect
71. C2×#88126C22semidirect
72. C2×C42×D13C22semidirect
73. C2×C42×D13C22semidirect
74. C2×C4×Dic26C22semidirect
75. C13×#381C22semidirect
76. C13×#381C22semidirect
79. C13×#380C22semidirect
80. C13×#380C22semidirect
85. C4×C13×C22⋊C4C22semidirect
86. C4×C13×C22⋊C4C22semidirect
89. #11718874C22semidirect
90. #11718874C22semidirect
92. #11718871C22semidirect
93. #11718871C22semidirect
95. C4×C22⋊Dic13C22semidirect
96. C4×C22⋊Dic13C22semidirect
97. #11718655C22semidirect
98. #11718655C22semidirect
99. #11718654C22semidirect
100. #11718653C22semidirect
101. #11718652C22semidirect
102. #11718650C22semidirect
103. #11718650C22semidirect
104. #11718644C22semidirect
105. #11718643C22semidirect
106. #11718641C22semidirect
107. #11718639C22semidirect
108. #11718639C22semidirect
111. #11718622C22semidirect
118. #11718620C22semidirect
122. #11718618C22semidirect
128. #11718614C22semidirect
129. #11718613C22semidirect
130. #11718613C22semidirect
131. #11718613C22semidirect
132. #11718612C22semidirect
133. #11718612C22semidirect
136. #11718609C22semidirect
137. #11718608C22semidirect
141. #11718606C22semidirect
142. #11718605C22semidirect
143. #11718605C22semidirect
147. C4×#6103C22semidirect
148. C4×#6103C22semidirect
149. C4×#6103C22semidirect
150. C4×#6103C22semidirect
151. C4×#6103C22semidirect
152. C4×C4⋊Dic13C22semidirect
153. #11718593C22semidirect
154. C4×#6101C22semidirect
155. C4×#6101C22semidirect
156. C4×#6101C22semidirect
157. #11718337C22semidirect
158. #11718336C22semidirect
159. #11718336C22semidirect
160. #11718334C22semidirect
161. #11718333C22semidirect
162. #11718330C22semidirect
163. #11718330C22semidirect
164. #11718330C22semidirect
165. #11718329C22semidirect
166. #11718329C22semidirect
167. #11718329C22semidirect
168. #11718328C22semidirect
169. #11718327C22semidirect
170. #11718327C22semidirect
171. #11718326C22semidirect
172. #11718326C22semidirect
173. #11718326C22semidirect
174. #11718325C22semidirect
175. D13×#95C22semidirect
176. D13×#95C22semidirect
177. #11718321C22semidirect
178. #11718319C22semidirect
179. #11718318C22semidirect
180. #11718316C22semidirect
181. #11718315C22semidirect
182. #11718315C22semidirect
183. #11718313C22semidirect
184. #11718313C22semidirect
185. #11718313C22semidirect
186. #11718308C22semidirect
187. #11718308C22semidirect
188. #11718307C22semidirect
275. C4×C22⋊D13D4semidirect
642. #2280D13semidirect
837. C2×#117C2×D13semidirect
838. C2×#117C2×D13semidirect
926. #381C2×D13semidirect
927. #381C2×D13semidirect
932. #380C2×D13semidirect
933. #380C2×D13semidirect
956. C4×C22⋊C4C2×D13semidirect
957. C4×C22⋊C4C2×D13semidirect
982. C22×C13#529semidirect
1473. C13#34670semidirect
1677. C22#11719233semidirect

Maximal subgroups

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

subgroupindex
C2×#117192332
C22×C4×C22⋊D132
#131191042
#131190812
#131189822
#131189592
#131188942
#131188712
#131187932
#131187702
#131186672
#131185852
#131185042
#131183842
#131183102
#131182292
#131182122
#131181612
#131181232
#131180932
#131180802
#131180722
C4×#881322
C4×#881372
C4×#881382
C4×#881362
C4×#882072
#131172752
#131172732
C4×C22⋊C4×D132
C13×#22802
#3467013