Finite Group Databasebeta

← #16030698

Subgroups — #16030698

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
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13119092C211yesmaximal, characteristic, complemented
4#13119085C211yesmaximal, characteristic, complemented
5#13118970C211yesmaximal, characteristic, complemented
6#13118963C211yesmaximal, characteristic, complemented
7#13118882C211yesmaximal, characteristic, complemented
8#13118875C211yesmaximal, characteristic, complemented
9#13118781C211yesmaximal, characteristic, complemented
10#13118774C211yesmaximal, characteristic, complemented
11#13118655C211yesmaximal, characteristic, complemented
12#13118589C211yesmaximal, characteristic, complemented
13#13118498C211yesmaximal, characteristic, complemented
14#13118388C211yesmaximal, characteristic, complemented
15#13118314C211yesmaximal, characteristic, complemented
16#13118227C211yesmaximal, characteristic, complemented
17#13118203C211yesmaximal, characteristic
18#13118158C211yesmaximal, characteristic, complemented
19#13118120C211yesmaximal, characteristic, complemented
20#13118097C211yesmaximal, characteristic, complemented
21#13118074C211yesmaximal, characteristic, complemented
22C4×#88151C211yesmaximal, characteristic, complemented
23C4×#88137C211yesmaximal, characteristic, complemented
24C4×#88192C211yesmaximal, characteristic, complemented
25C4×#88191C211yesmaximal, characteristic, complemented
26C4×#88191C211yesmaximal, characteristic, complemented
27#13117277C211yesmaximal, characteristic, complemented
28#13117273C211yesmaximal, characteristic, complemented
29#13117217C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2392C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C2×C4×D4×C13C2211yescharacteristic, complemented
37C2×C4×D4×C13C2211yescharacteristic, complemented
38C2×C13×#117C2211yescharacteristic, complemented
39C2×#88192C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic, complemented
47C2×C4×C22⋊D13C2211yescharacteristic, complemented
48C4×D4×D13—28no—
49#11719233—28no—
50C2×#88152C2211yescharacteristic, complemented
51C2×#88151C2211yescharacteristic
52C2×#88150C2211yescharacteristic, complemented
53C2×#88148C2211yescharacteristic
54C2×#88147C2211yescharacteristic
55C2×C4⋊C4×D13C2211yescharacteristic
56C2×#88143C2211yescharacteristic, complemented
57C2×#88139C2211yescharacteristic, complemented
58C2×#88138C2211yescharacteristic
59C2×#88137C2211yescharacteristic
60C2×#88137C2211yescharacteristic, complemented
61C2×#88135C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×#88133C2211yescharacteristic, complemented
68C2×C4×D52C2211yescharacteristic
69C2×#88126C2211yescharacteristic, complemented
70C2×#88126C2211yescharacteristic, complemented
71C2×C42×D13C2211yescharacteristic
72C2×C42×D13C2211yescharacteristic, complemented
73C2×C42×D13C2211yescharacteristic, complemented
74C2×C4×Dic26C2211yescharacteristic, complemented
75C13×#398C2211yescharacteristic, complemented
76C13×#397C2211yescharacteristic, complemented
77C13×#396C2211yescharacteristic, complemented
78C13×#396C2211yescharacteristic, complemented
79C13×#394C2211yescharacteristic
80C13×#394C2211yescharacteristic, complemented
81C13×#394C2211yescharacteristic, complemented
82C13×#392C2211yescharacteristic
83C4×C13×C4⋊C4C2211yescharacteristic, complemented
84C4×C13×C22⋊C4C2211yescharacteristic, complemented
85C4×C13×C22⋊C4C2211yescharacteristic, complemented
86#11718884C2211yescharacteristic
87#11718883C2211yescharacteristic
88#11718883C2211yescharacteristic
89#11718883C2211yescharacteristic, complemented
90#11718882C2211yescharacteristic, complemented
91#11718881C2211yescharacteristic, complemented
92#11718881C2211yescharacteristic, complemented
93C4×C22⋊Dic13C2211yescharacteristic, complemented
94C4×C22⋊Dic13C2211yescharacteristic, complemented
95C4×C22⋊Dic13C2211yescharacteristic, complemented
96C4×C22⋊Dic13C2211yescharacteristic, complemented
97C4×C22⋊Dic13C2211yescharacteristic, complemented
98#11718654C2211yescharacteristic, complemented
99#11718651C2211yescharacteristic, complemented
100#11718651C2211yescharacteristic, complemented
101#11718650C2211yescharacteristic
102#11718650C2211yescharacteristic
103#11718650C2211yescharacteristic
104#11718650C2211yescharacteristic
105#11718650C2211yescharacteristic, complemented
106#11718650C2211yescharacteristic, complemented
107#11718650C2211yescharacteristic, complemented
108#11718650C2211yescharacteristic, complemented
109#11718648C2211yescharacteristic
110#11718648C2211yescharacteristic, complemented
111#11718646C2211yescharacteristic, complemented
112#11718643C2211yescharacteristic, complemented
113#11718643C2211yescharacteristic, complemented
114#11718641C2211yescharacteristic, complemented
115#11718639C2211yescharacteristic, complemented
116#11718639C2211yescharacteristic, complemented
117#11718635C2211yescharacteristic, complemented
118#11718634C2211yescharacteristic, complemented
119#11718622C2211yescharacteristic
120#11718622C2211yescharacteristic
121#11718622C2211yescharacteristic, complemented
122#11718620C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic
128#11718617C2211yescharacteristic
129#11718617C2211yescharacteristic, complemented
130#11718617C2211yescharacteristic, complemented
131#11718617C2211yescharacteristic, complemented
132#11718616C2211yescharacteristic
133#11718616C2211yescharacteristic
134#11718616C2211yescharacteristic
135#11718616C2211yescharacteristic
136#11718614C2211yescharacteristic, complemented
137#11718614C2211yescharacteristic, complemented
138#11718613C2211yescharacteristic, complemented
139#11718612C2211yescharacteristic, complemented
140#11718610C2211yescharacteristic, complemented
141#11718609C2211yescharacteristic, complemented
142#11718609C2211yescharacteristic, complemented
143#11718608C2211yescharacteristic, complemented
144#11718608C2211yescharacteristic, complemented
145#11718607C2211yescharacteristic, complemented
146#11718607C2211yescharacteristic, complemented
147#11718606C2211yescharacteristic, complemented
148#11718605C2211yescharacteristic, complemented
149#11718605C2211yescharacteristic, complemented
150#11718605C2211yescharacteristic, complemented
151#11718605C2211yescharacteristic, complemented
152#11718603C2211yescharacteristic, complemented
153#11718603C2211yescharacteristic, complemented
154C22⋊C4×Dic13C2211yescharacteristic, complemented
155C22⋊C4×Dic13C2211yescharacteristic, complemented
156C4×#6103C2211yescharacteristic
157C4×#6103C2211yescharacteristic
158C4×#6103C2211yescharacteristic
159C4×#6103C2211yescharacteristic, complemented
160C4×#6103C2211yescharacteristic, complemented
161C4×C4⋊Dic13C2211yescharacteristic, complemented
162C4×C4⋊Dic13C2211yescharacteristic, complemented
163#11718593C2211yescharacteristic, complemented
164C4×#6101C2211yescharacteristic, complemented
165#11718336C2211yescharacteristic, complemented
166#11718335C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic
168#11718329C2211yescharacteristic
169#11718329C2211yescharacteristic, complemented
170#11718328C2211yescharacteristic
171#11718328C2211yescharacteristic
172#11718327C2211yescharacteristic
173#11718327C2211yescharacteristic
174#11718326C2211yescharacteristic
175#11718326C2211yescharacteristic
176#11718325C2211yescharacteristic, complemented
177#11718325C2211yescharacteristic, complemented
178#11718325C2211yescharacteristic, complemented
179D13×#95C2211yescharacteristic, complemented
180D13×#95C2211yescharacteristic, complemented
181#11718319C2211yescharacteristic, complemented
182#11718318C2211yescharacteristic, complemented
183#11718315C2211yescharacteristic, complemented
184#11718315C2211yescharacteristic, complemented
185#11718315C2211yescharacteristic, complemented
186#11718314C2211yescharacteristic, complemented
187#11718314C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C2×D4×D13—24no—
205C2×D4×D13—24no—
206C2×D4×D13—24no—
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×Dic26C2311yescharacteristic
228C4×D4×C13—24no—
229C4×D4×C13—42no—
230C4×D4×C13—42no—
231C13×#117—24no—
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C42×C13C2311yescharacteristic
252C2×C42×C13C2311yescharacteristic
253C2×C42×C13C2311yescharacteristic
254C2×C42×C13C2311yescharacteristic
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
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270#88192—24no—
271#88191—24no—
272#88191—24no—
273D4×Dic13—24no—
274C4×C22⋊D13—24no—
275C4×C22⋊D13—24no—
276C4×C22⋊D13—24no—
277C4×C22⋊D13—24no—
278C4×C22⋊D13—24no—
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×C4⋊Dic13C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330#88152—24no—
331#88151—24no—
332#88150—24no—
333#88148—24no—
334#88147—24no—
335C4⋊C4×D13—24no—
336#88143—24no—
337#88139—24no—
338#88138—24no—
339#88137—24no—
340#88137—24no—
341#88135—24no—
342#88135—24no—
343C22⋊C4×D13—24no—
344C22⋊C4×D13—24no—
345C22⋊C4×D13—24no—
346C22⋊C4×D13—24no—
347#88133—24no—
348C4×D52D418yescomplemented
349#88126—24no—
350#88126—42no—
351C42×D13—24no—
352C42×D13—24no—
353C42×D13—42no—
354C4×Dic26—24no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34670—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13—41no—
408C23×D13#4114yes—
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—41no—
419C2×D4×C13—41no—
420C2×D4×C13—41no—
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×C13C2411yescharacteristic
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
442C2×C22⋊D13—22no—
443C2×C22⋊D13—22no—
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—41no—
456C2×C22⋊D13#4114yes—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—41no—
462C22×Dic13—41no—
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476D4×D13—232no—
477C2×D52—22no—
478C2×D52—22no—
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—416no—
508C2×C4×D13—416no—
509C2×C4×D13—41no—
510C2×C4×D13—41no—
511C2×C4×D13—41no—
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×D13C2×D414yes—
519C2×C4×D13C2×D414yes—
520C2×C4×D13#4114yes—
521C2×Dic26—22no—
522C2×Dic26—22no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C4⋊C4—41no—
529C13×C4⋊C4—41no—
530C13×C4⋊C4—41no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—41no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C42×C13—22no—
544C42×C13—22no—
545C42×C13—22no—
546C42×C13C2×D414yes—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—22no—
557C22⋊Dic13—22no—
558C22⋊Dic13—22no—
559C22⋊Dic13—41no—
560C22⋊Dic13—41no—
561C22⋊Dic13—41no—
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—22no—
575#6103—22no—
576#6103—22no—
577#6103—41no—
578#6103—41no—
579#6103—41no—
580#6103C2×D414yes—
581#6103C2×D414yes—
582#6103#4114yes—
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586C4⋊Dic13—22no—
587C4⋊Dic13—22no—
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—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×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#2398—131no—
632#2395—131no—
633#2392—131no—
634#2392D1311yescharacteristic, complemented
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×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—21no—
662C23×C13—21no—
663C23×C13C2×#4112yes—
664C23×C13C2×#4112yes—
665C23×C13C2511yescharacteristic
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—28no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—21no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—28no—
682C22×D13—28no—
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—
701D4×C13—28no—
702D4×C13—44no—
703D4×C13—44no—
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—44no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13C22×D412yes—
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—44no—
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—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—44no—
783C2×Dic13—44no—
784C2×Dic13C22×D412yes—
785C2×Dic13C22×D412yes—
786C2×Dic13C2×#4112yes—
787C2×Dic13C2×#4112yes—
788C2×Dic13C2×#4112yes—
789D52—28no—
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—
803Dic26—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×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—268no—
833C2×C4×D4C2×D1311yescharacteristic
834C2×C4×D4C2×D1311yescharacteristic, complemented
835C2×C4×D4C2×D1311yescharacteristic, complemented
836C2×#117—131no—
837C2×#117—131no—
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#398C2×D1311yescharacteristic, complemented
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397C2×D1311yescharacteristic, complemented
861#396—131no—
862#396—131no—
863#396C2×D1311yescharacteristic, complemented
864#396C2×D1311yescharacteristic, complemented
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394—131no—
872#394C2×D1311yescharacteristic
873#394C2×D1311yescharacteristic, complemented
874#394C2×D1311yescharacteristic, complemented
875#393—131no—
876#393—131no—
877#392—131no—
878#392C2×D1311yescharacteristic
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⋊C4C2×D1311yescharacteristic, complemented
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4—131no—
947C4×C22⋊C4—131no—
948C4×C22⋊C4—131no—
949C4×C22⋊C4—131no—
950C4×C22⋊C4—131no—
951C4×C22⋊C4—131no—
952C4×C22⋊C4—131no—
953C4×C22⋊C4—131no—
954C4×C22⋊C4—131no—
955C4×C22⋊C4—131no—
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—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
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×C13C23×D411yescharacteristic
983C22×C13C22×#4111yescharacteristic
984C22×C13C22×#4111yescharacteristic
985C22×C13C22×#4111yescharacteristic
986C22×C13C22×#4111yescharacteristic
987C22×C13C2×H(5,𝔽2)11yescharacteristic
988C22×C13#58511yescharacteristic
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—22no—
998C2×D13—22no—
999C2×D13—22no—
1000C2×D13—22no—
1001C2×D13—22no—
1002C2×D13—22no—
1003C2×D13—22no—
1004C2×D13—416no—
1005C2×D13—416no—
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#54614yes—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—22no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25—131no—
1038C25—131no—
1039C22×Q8—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—264no—
1047C22×D4—264no—
1048C22×D4—264no—
1049C22×D4C22×D1311yescharacteristic
1050C22×D4C22×D1311yescharacteristic
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—264no—
1068C23×C4—264no—
1069C23×C4—264no—
1070C23×C4—264no—
1071C23×C4—522no—
1072C23×C4—522no—
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—24no—
1091C4×D4—42no—
1092C4×D4—42no—
1093C4×D4—138no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—264no—
1102C4×D4—264no—
1103#117—24no—
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—264no—
1126C2×C4⋊C4C22×D1311yescharacteristic
1127C2×C4⋊C4C22×D1311yescharacteristic
1128C2×C4⋊C4C22×D1311yescharacteristic
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×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#95—131no—
1232#95—131no—
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×C13—81no—
1242C2×C13C2×#52511yescharacteristic
1243C2×C13C2×#52911yescharacteristic
1244C2×C13#345911yescharacteristic
1245C2×C13C2×#54611yescharacteristic
1246C2×C13D4×#4111yescharacteristic
1247C2×C13#347511yescharacteristic
1248C2×C13#348111yescharacteristic
1249D13—24no—
1250D13—24no—
1251D13—42no—
1252C24—131no—
1253C24—131no—
1254C24—131no—
1255C24—134no—
1256C24—262no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—521no—
1266C24—521no—
1267C24—521no—
1268C24—521no—
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—262no—
1274C2×Q8—521no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—134no—
1285C2×D4—134no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—2632no—
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—262no—
1300C2×D4—262no—
1301C2×D4—262no—
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—131no—
1313C22×C4—131no—
1314C22×C4—131no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—134no—
1318C22×C4—134no—
1319C22×C4—134no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
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—262no—
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—521no—
1368C22×C4—5216no—
1369C22×C4—5216no—
1370C22×C4—521no—
1371C22×C4—521no—
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—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—134no—
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—262no—
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—41no—
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—262no—
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—262no—
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—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—132no—
1494C23—132no—
1495C23—132no—
1496C23—132no—
1497C23—132no—
1498C23—132no—
1499C23—132no—
1500C23—268no—
1501C23—268no—
1502C23—268no—
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—524no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—268no—
1536D4—268no—
1537D4—268no—
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—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—132no—
1575C2×C4—132no—
1576C2×C4—132no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—268no—
1580C2×C4—261no—
1581C2×C4—261no—
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—268no—
1591C2×C4—268no—
1592C2×C4—268no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
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#8825112yes—
1632C2×C4#41×D1312yes—
1633C2×C4#41×D1312yes—
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—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—134no—
1656C22—134no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—262no—
1661C22—262no—
1662C22—262no—
1663C22—262no—
1664C22—262no—
1665C22—262no—
1666C22—262no—
1667C22—262no—
1668C22—262no—
1669C22—262no—
1670C22—262no—
1671C22—262no—
1672C22—5216no—
1673C22—5216no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22—521no—
1678C22C22×D4×D1311yescharacteristic
1679C22C2×#8825111yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#41×D1311yescharacteristic
1683C22C2×#41×D1311yescharacteristic
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—262no—
1697C4—262no—
1698C4—262no—
1699C4—262no—
1700C4—262no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4#1171931714yes—
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—264no—
1714C2—264no—
1715C2—522no—
1716C2D13×#52511yescharacteristic
1717C2D13×#52911yescharacteristic
1718C2#1312824311yescharacteristic
1719C2C2×#1171931711yescharacteristic
1720C2#1312832211yescharacteristic
1721C2#1312838811yescharacteristic
1722C2#1312843811yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC13×#2392C2
prime radical#13118203C2
hypercenter#2392D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#11719233C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13119092C2semidirect
4. #13119085C2semidirect
5. #13118970C2semidirect
6. #13118963C2semidirect
7. #13118882C2semidirect
8. #13118875C2semidirect
9. #13118781C2semidirect
10. #13118774C2semidirect
11. #13118655C2semidirect
12. #13118589C2semidirect
13. #13118498C2semidirect
14. #13118388C2semidirect
15. #13118314C2semidirect
16. #13118227C2semidirect
18. #13118158C2semidirect
19. #13118120C2semidirect
20. #13118097C2semidirect
21. #13118074C2semidirect
22. C4×#88151C2semidirect
23. C4×#88137C2semidirect
24. C4×#88192C2semidirect
25. C4×#88191C2semidirect
26. C4×#88191C2semidirect
27. #13117277C2semidirect
28. #13117273C2semidirect
29. #13117217C2semidirect
30. C4×C22⋊C4×D13C2semidirect
31. C13×#2392C2semidirect
36. C2×C4×D4×C13C22semidirect
37. C2×C4×D4×C13C22semidirect
38. C2×C13×#117C22semidirect
46. C2×C4×C22⋊D13C22semidirect
47. C2×C4×C22⋊D13C22semidirect
50. C2×#88152C22semidirect
52. C2×#88150C22semidirect
56. C2×#88143C22semidirect
57. C2×#88139C22semidirect
60. C2×#88137C22semidirect
67. C2×#88133C22semidirect
69. C2×#88126C22semidirect
70. C2×#88126C22semidirect
72. C2×C42×D13C22semidirect
73. C2×C42×D13C22semidirect
74. C2×C4×Dic26C22semidirect
75. C13×#398C22semidirect
76. C13×#397C22semidirect
77. C13×#396C22semidirect
78. C13×#396C22semidirect
80. C13×#394C22semidirect
81. C13×#394C22semidirect
83. C4×C13×C4⋊C4C22semidirect
84. C4×C13×C22⋊C4C22semidirect
85. C4×C13×C22⋊C4C22semidirect
89. #11718883C22semidirect
90. #11718882C22semidirect
91. #11718881C22semidirect
92. #11718881C22semidirect
93. C4×C22⋊Dic13C22semidirect
94. C4×C22⋊Dic13C22semidirect
95. C4×C22⋊Dic13C22semidirect
96. C4×C22⋊Dic13C22semidirect
97. C4×C22⋊Dic13C22semidirect
98. #11718654C22semidirect
99. #11718651C22semidirect
100. #11718651C22semidirect
105. #11718650C22semidirect
106. #11718650C22semidirect
107. #11718650C22semidirect
108. #11718650C22semidirect
110. #11718648C22semidirect
111. #11718646C22semidirect
112. #11718643C22semidirect
113. #11718643C22semidirect
114. #11718641C22semidirect
115. #11718639C22semidirect
116. #11718639C22semidirect
117. #11718635C22semidirect
118. #11718634C22semidirect
121. #11718622C22semidirect
129. #11718617C22semidirect
130. #11718617C22semidirect
131. #11718617C22semidirect
136. #11718614C22semidirect
137. #11718614C22semidirect
138. #11718613C22semidirect
139. #11718612C22semidirect
140. #11718610C22semidirect
141. #11718609C22semidirect
142. #11718609C22semidirect
143. #11718608C22semidirect
144. #11718608C22semidirect
145. #11718607C22semidirect
146. #11718607C22semidirect
147. #11718606C22semidirect
148. #11718605C22semidirect
149. #11718605C22semidirect
150. #11718605C22semidirect
151. #11718605C22semidirect
152. #11718603C22semidirect
153. #11718603C22semidirect
154. C22⋊C4×Dic13C22semidirect
155. C22⋊C4×Dic13C22semidirect
159. C4×#6103C22semidirect
160. C4×#6103C22semidirect
161. C4×C4⋊Dic13C22semidirect
162. C4×C4⋊Dic13C22semidirect
163. #11718593C22semidirect
164. C4×#6101C22semidirect
165. #11718336C22semidirect
166. #11718335C22semidirect
169. #11718329C22semidirect
176. #11718325C22semidirect
177. #11718325C22semidirect
178. #11718325C22semidirect
179. D13×#95C22semidirect
180. D13×#95C22semidirect
181. #11718319C22semidirect
182. #11718318C22semidirect
183. #11718315C22semidirect
184. #11718315C22semidirect
185. #11718315C22semidirect
186. #11718314C22semidirect
187. #11718314C22semidirect
188. #11718313C22semidirect
348. C4×D52D4semidirect
634. #2392D13semidirect
834. C2×C4×D4C2×D13semidirect
835. C2×C4×D4C2×D13semidirect
838. C2×#117C2×D13semidirect
853. #398C2×D13semidirect
860. #397C2×D13semidirect
863. #396C2×D13semidirect
864. #396C2×D13semidirect
873. #394C2×D13semidirect
874. #394C2×D13semidirect
941. C4×C4⋊C4C2×D13semidirect
956. C4×C22⋊C4C2×D13semidirect
957. C4×C22⋊C4C2×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×#117192332
C2×C4×D4×D132
#131190922
#131190852
#131189702
#131189632
#131188822
#131188752
#131187812
#131187742
#131186552
#131185892
#131184982
#131183882
#131183142
#131182272
#131182032
#131181582
#131181202
#131180972
#131180742
C4×#881512
C4×#881372
C4×#881922
C4×#881912
#131172772
#131172732
#131172172
C4×C22⋊C4×D132
C13×#23922
#3467013