Finite Group Databasebeta

← #16030711

Subgroups — #16030711

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×#11719329C211yesmaximal, characteristic, complemented
2C2×C4×D4×D13C211yesmaximal, characteristic, complemented
3#13119100C211yesmaximal, characteristic, complemented
4#13119085C211yesmaximal, characteristic, complemented
5#13118980C211yesmaximal, characteristic, complemented
6#13118965C211yesmaximal, characteristic, complemented
7#13118894C211yesmaximal, characteristic, complemented
8#13118879C211yesmaximal, characteristic, complemented
9#13118795C211yesmaximal, characteristic, complemented
10#13118780C211yesmaximal, characteristic, complemented
11#13118586C211yesmaximal, characteristic, complemented
12#13118499C211yesmaximal, characteristic, complemented
13#13118381C211yesmaximal, characteristic, complemented
14#13118315C211yesmaximal, characteristic, complemented
15#13118230C211yesmaximal, characteristic, complemented
16#13118209C211yesmaximal, characteristic
17#13118162C211yesmaximal, characteristic, complemented
18#13118118C211yesmaximal, characteristic, complemented
19#13118102C211yesmaximal, characteristic, complemented
20#13118081C211yesmaximal, characteristic, complemented
21#13118077C211yesmaximal, characteristic, complemented
22#13117374C211yesmaximal, characteristic, complemented
23#13117361C211yesmaximal, characteristic, complemented
24#13117346C211yesmaximal, characteristic, complemented
25#13117337C211yesmaximal, characteristic, complemented
26#13117337C211yesmaximal, characteristic, complemented
27#13117274C211yesmaximal, characteristic, complemented
28#13117272C211yesmaximal, characteristic, complemented
29#13117218C211yesmaximal, characteristic, complemented
30C2×#11718327C211yesmaximal, characteristic, complemented
31C13×#2450C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×C22⋊Q8C2211yescharacteristic, complemented
36C2×C4×D4×C13C2211yescharacteristic
37C2×#88201C2211yescharacteristic, complemented
38C2×#88200C2211yescharacteristic
39C2×Q8×Dic13C2211yescharacteristic, complemented
40C2×#88193C2211yescharacteristic
41C2×#88189C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×#88184C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C22×#6103C2211yescharacteristic
47C22×#6103C2211yescharacteristic
48C22×C4×Dic13C2211yescharacteristic, complemented
49C22×C4×Dic13C2211yescharacteristic, complemented
50#11719329—28no—
51C4×D4×D13—28no—
52C2×#88152C2211yescharacteristic, complemented
53C2×#88152C2211yescharacteristic, complemented
54C2×#88147C2211yescharacteristic
55C2×#88147C2211yescharacteristic
56C2×#88147C2211yescharacteristic, complemented
57C2×#88147C2211yescharacteristic, complemented
58C2×#88146C2211yescharacteristic, complemented
59C2×#88146C2211yescharacteristic, complemented
60C2×#88146C2211yescharacteristic, complemented
61C2×C4⋊C4×D13C2211yescharacteristic
62C2×#88144C2211yescharacteristic, complemented
63C2×#88140C2211yescharacteristic
64C2×#88140C2211yescharacteristic, complemented
65C2×#88136C2211yescharacteristic
66C2×#88136C2211yescharacteristic
67C2×#88135C2211yescharacteristic
68C2×#88135C2211yescharacteristic
69C2×#88135C2211yescharacteristic, complemented
70C2×#88135C2211yescharacteristic, complemented
71C2×C22⋊C4×D13C2211yescharacteristic
72C2×C22⋊C4×D13C2211yescharacteristic
73C2×C4×D52C2211yescharacteristic
74C2×C42×D13C2211yescharacteristic
75C13×#400C2211yescharacteristic, complemented
76C13×#398C2211yescharacteristic, complemented
77C13×#396C2211yescharacteristic, complemented
78C13×#393C2211yescharacteristic, complemented
79C13×#391C2211yescharacteristic, complemented
80C13×#387C2211yescharacteristic, complemented
81C13×#386C2211yescharacteristic
82C13×#386C2211yescharacteristic
83C13×#385C2211yescharacteristic, complemented
84C13×#385C2211yescharacteristic, complemented
85C13×#385C2211yescharacteristic, complemented
86C13×#380C2211yescharacteristic, complemented
87C2×C13×#95C2211yescharacteristic, complemented
88#11718892C2211yescharacteristic, complemented
89#11718874C2211yescharacteristic
90#11718874C2211yescharacteristic, complemented
91#11718874C2211yescharacteristic, complemented
92#11718874C2211yescharacteristic, complemented
93#11718873C2211yescharacteristic, complemented
94#11718871C2211yescharacteristic, complemented
95C2×#88071C2211yescharacteristic, complemented
96#11718655C2211yescharacteristic, complemented
97#11718655C2211yescharacteristic, complemented
98#11718655C2211yescharacteristic, complemented
99#11718654C2211yescharacteristic, complemented
100#11718653C2211yescharacteristic, complemented
101#11718652C2211yescharacteristic, complemented
102#11718652C2211yescharacteristic, complemented
103#11718651C2211yescharacteristic, complemented
104#11718650C2211yescharacteristic
105#11718650C2211yescharacteristic
106#11718650C2211yescharacteristic
107#11718650C2211yescharacteristic, complemented
108#11718650C2211yescharacteristic, complemented
109#11718648C2211yescharacteristic
110#11718648C2211yescharacteristic
111#11718648C2211yescharacteristic
112#11718645C2211yescharacteristic, complemented
113#11718644C2211yescharacteristic, complemented
114#11718642C2211yescharacteristic, complemented
115#11718639C2211yescharacteristic, complemented
116C4⋊C4×Dic13C2211yescharacteristic, complemented
117#11718622C2211yescharacteristic
118#11718622C2211yescharacteristic
119#11718622C2211yescharacteristic
120#11718622C2211yescharacteristic, complemented
121#11718621C2211yescharacteristic
122#11718619C2211yescharacteristic
123#11718618C2211yescharacteristic, complemented
124#11718616C2211yescharacteristic
125#11718616C2211yescharacteristic
126#11718616C2211yescharacteristic
127#11718616C2211yescharacteristic
128#11718614C2211yescharacteristic, complemented
129#11718611C2211yescharacteristic, complemented
130#11718606C2211yescharacteristic, complemented
131#11718606C2211yescharacteristic, complemented
132#11718605C2211yescharacteristic, complemented
133#11718604C2211yescharacteristic, complemented
134#11718603C2211yescharacteristic, complemented
135C22⋊C4×Dic13C2211yescharacteristic, complemented
136C22⋊C4×Dic13C2211yescharacteristic, complemented
137C22⋊C4×Dic13C2211yescharacteristic, complemented
138C22⋊C4×Dic13C2211yescharacteristic, complemented
139#11718601C2211yescharacteristic, complemented
140#11718589C2211yescharacteristic, complemented
141#11718336C2211yescharacteristic, complemented
142#11718336C2211yescharacteristic, complemented
143#11718336C2211yescharacteristic, complemented
144#11718335C2211yescharacteristic, complemented
145#11718335C2211yescharacteristic, complemented
146#11718333C2211yescharacteristic
147#11718333C2211yescharacteristic
148#11718333C2211yescharacteristic
149#11718333C2211yescharacteristic, complemented
150#11718332C2211yescharacteristic
151#11718331C2211yescharacteristic, complemented
152#11718331C2211yescharacteristic, complemented
153#11718330C2211yescharacteristic, complemented
154#11718329C2211yescharacteristic
155#11718329C2211yescharacteristic
156#11718329C2211yescharacteristic
157#11718327C2211yescharacteristic
158#11718327C2211yescharacteristic
159#11718327C2211yescharacteristic
160#11718327C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic, complemented
163#11718327C2211yescharacteristic, complemented
164#11718327C2211yescharacteristic, complemented
165#11718327C2211yescharacteristic, complemented
166#11718327C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718327C2211yescharacteristic, complemented
169#11718326C2211yescharacteristic
170#11718326C2211yescharacteristic
171#11718326C2211yescharacteristic
172#11718326C2211yescharacteristic
173#11718326C2211yescharacteristic, complemented
174#11718326C2211yescharacteristic, complemented
175#11718325C2211yescharacteristic, complemented
176#11718325C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718316C2211yescharacteristic, complemented
183#11718316C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718310C2211yescharacteristic, complemented
187#11718309C2211yescharacteristic, complemented
188#11718308C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×Q8×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C2×D4×D13—24no—
206C2×D4×D13—24no—
207C2×D4×D13—24no—
208C22×D52C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×C4×D13—24no—
213C22×C4×D13—24no—
214C22×C4×D13—24no—
215C22×C4×D13—24no—
216C22×C4×D13—42no—
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×C4×D13C2311yescharacteristic
228C13×C22⋊Q8—24no—
229C4×D4×C13—24no—
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
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×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×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253#88201—24no—
254#88200—24no—
255Q8×Dic13—24no—
256#88193—24no—
257#88189—24no—
258D4×Dic13—24no—
259#88184—24no—
260C4×C22⋊D13—24no—
261C4×C22⋊D13—24no—
262C2×#6103—24no—
263C2×#6103—24no—
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
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×C4×Dic13—24no—
317C2×C4×Dic13—42no—
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324C2×C4×Dic13C2311yescharacteristic
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332#88152—24no—
333#88152—24no—
334#88147—24no—
335#88147—24no—
336#88147—24no—
337#88147—42no—
338#88146—24no—
339#88146—24no—
340#88146—42no—
341C4⋊C4×D13—24no—
342#88144—24no—
343#88140—24no—
344#88140—24no—
345#88136—24no—
346#88136—24no—
347#88135—24no—
348#88135—24no—
349#88135—42no—
350#88135D418yescomplemented
351C22⋊C4×D13—24no—
352C22⋊C4×D13—24no—
353C4×D52—24no—
354C42×D13—24no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34670—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—41no—
404C23×D13—41no—
405C23×D13—41no—
406C23×D13—41no—
407C23×D13#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×Q8×C13—22no—
413C2×Q8×C13—22no—
414C2×Q8×C13—41no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13#4114yes—
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—41no—
429C22×C4×C13—41no—
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
442C22×C4×C13C2411yescharacteristic
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—41no—
454C2×C22⋊D13C2×D414yes—
455C22×Dic13—22no—
456C22×Dic13—22no—
457C22×Dic13—22no—
458C22×Dic13—22no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—22no—
465C22×Dic13—41no—
466C22×Dic13C2×D414yes—
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470C22×Dic13C2411yescharacteristic
471C22×Dic13C2411yescharacteristic
472C22×Dic13C2411yescharacteristic
473C22×Dic13C2411yescharacteristic
474C22×Dic13C2411yescharacteristic
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2411yescharacteristic
477C22×Dic13C2411yescharacteristic
478C22×Dic13C2411yescharacteristic
479D4×D13—232no—
480C2×D52—22no—
481C2×D52—22no—
482C2×D52—22no—
483C2×D52—22no—
484C2×D52—22no—
485C2×D52—22no—
486C2×D52—22no—
487C2×D52—22no—
488C2×D52—22no—
489C2×D52—41no—
490C2×D52—41no—
491C2×D52—41no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—416no—
516C2×C4×D13—416no—
517C2×C4×D13—41no—
518C2×C4×D13—41no—
519C2×C4×D13—41no—
520C2×C4×D13—41no—
521C2×C4×D13—41no—
522C2×C4×D13C2×D414yes—
523C2×C4×D13#4114yes—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C4⋊C4—22no—
529C13×C4⋊C4—41no—
530C13×C4⋊C4—41no—
531C13×C4⋊C4—41no—
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⋊C4C2×D414yes—
540C42×C13—22no—
541C22⋊Dic13—22no—
542C22⋊Dic13—22no—
543C22⋊Dic13—22no—
544C22⋊Dic13—22no—
545C22⋊Dic13—22no—
546C22⋊Dic13—22no—
547#6103—22no—
548#6103—22no—
549#6103—22no—
550#6103—22no—
551#6103—22no—
552#6103—22no—
553#6103—22no—
554#6103—22no—
555#6103—22no—
556#6103—22no—
557#6103—22no—
558#6103—22no—
559#6103—22no—
560#6103—22no—
561#6103—22no—
562#6103—22no—
563#6103—22no—
564#6103—22no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—41no—
572#6103—41no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103—41no—
578#6103—41no—
579#6103C2×D414yes—
580#6103#4114yes—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586C4⋊Dic13—22no—
587C4⋊Dic13—22no—
588C4⋊Dic13—41no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—41no—
597#6101—41no—
598#6101C2×D414yes—
599C4×Dic13—22no—
600C4×Dic13—22no—
601C4×Dic13—22no—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—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#2450D1311yescharacteristic, complemented
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⋊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×C13C22×D412yes—
655C23×C13C2×#4112yes—
656C23×C13C2×#4112yes—
657C23×C13C2×#4112yes—
658C23×C13C2511yescharacteristic
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—28no—
664C22×D13—28no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—21no—
668C22×D13—21no—
669C22×D13—21no—
670C22×D13—21no—
671C22×D13—21no—
672C22×D13—21no—
673C22×D13—21no—
674C22×D13—21no—
675C22×D13—21no—
676C22×D13—21no—
677C22×D13—28no—
678C22×D13—21no—
679C22×D13—21no—
680C22×D13—21no—
681C22×D13—21no—
682C22×D13—21no—
683C22×D13—21no—
684C22×D13—21no—
685C22×D13—44no—
686C22×D13—44no—
687C22×D13—44no—
688C22×D13—44no—
689C22×D13—44no—
690C22×D13—44no—
691C22×D13—44no—
692C22×D13—44no—
693C22×D13—44no—
694C22×D13—44no—
695C22×D13—44no—
696C22×D13C22×D412yes—
697C22×D13C2×#4112yes—
698C22×D13C2×#4112yes—
699C22×D13C2×#4112yes—
700C22×D13C2×#4112yes—
701Q8×C13—44no—
702D4×C13—28no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—44no—
738C2×C4×C13—44no—
739C2×C4×C13—44no—
740C2×C4×C13—44no—
741C2×C4×C13C22×D412yes—
742C2×C4×C13C22×D412yes—
743C2×C4×C13C2×#4112yes—
744C2×C4×C13C2×#4112yes—
745C2×C4×C13C2×#4112yes—
746C22⋊D13—28no—
747C22⋊D13—28no—
748C22⋊D13—44no—
749C22⋊D13—44no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—28no—
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—44no—
782C2×Dic13—44no—
783C2×Dic13—44no—
784C2×Dic13C22×D412yes—
785C2×Dic13C22×D412yes—
786C2×Dic13C22×D412yes—
787C2×Dic13C2×#4112yes—
788C2×Dic13C2×#4112yes—
789C2×Dic13H(5,𝔽2)12yes—
790D52—28no—
791D52—44no—
792D52—44no—
793D52—44no—
794C4×D13—28no—
795C4×D13—28no—
796C4×D13—28no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—44no—
802C4×D13—44no—
803C4×D13—44no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#529—268no—
808C2×#126—131no—
809C2×#126—131no—
810C2×#125—131no—
811C2×#124—131no—
812C2×#123—131no—
813C2×#123—131no—
814C2×#123—131no—
815C2×C22⋊Q8—131no—
816C2×C22⋊Q8C2×D1311yescharacteristic, complemented
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—268no—
835C2×C4×D4C2×D1311yescharacteristic
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839C22×C4⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C42—131no—
845C22×C42—131no—
846C22×C42—131no—
847#400—131no—
848#400—131no—
849#400C2×D1311yescharacteristic, complemented
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#397—131no—
861#396—131no—
862#396—131no—
863#396—131no—
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#394—131no—
873#394—131no—
874#394—131no—
875#393—131no—
876#393C2×D1311yescharacteristic, complemented
877#392—131no—
878#392—131no—
879#391C2×D1311yescharacteristic, complemented
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#387C2×D1311yescharacteristic, complemented
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#386C2×D1311yescharacteristic
911#386C2×D1311yescharacteristic
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#385C2×D1311yescharacteristic, complemented
923#385C2×D1311yescharacteristic, complemented
924#385C2×D1311yescharacteristic, complemented
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#380C2×D1311yescharacteristic, complemented
934#379—131no—
935#379—131no—
936#379—131no—
937#379—131no—
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4—131no—
941C4×C4⋊C4—131no—
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4—131no—
947C4×C22⋊C4—131no—
948C4×C22⋊C4—131no—
949C4×C22⋊C4—131no—
950C4×C22⋊C4—131no—
951C4×C22⋊C4—131no—
952C4×C22⋊C4—131no—
953C4×C22⋊C4—131no—
954C4×C22⋊C4—131no—
955C4×C22⋊C4—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958#376—131no—
959C2×#95—131no—
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—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13#52514yes—
975C22×C13C23×D411yescharacteristic
976C22×C13C22×#4111yescharacteristic
977C22×C13C22×#4111yescharacteristic
978C22×C13C22×#4111yescharacteristic
979C22×C13C22×#4111yescharacteristic
980C22×C13C2×H(5,𝔽2)11yescharacteristic
981C22×C13#58511yescharacteristic
982C2×D13—22no—
983C2×D13—22no—
984C2×D13—22no—
985C2×D13—22no—
986C2×D13—22no—
987C2×D13—22no—
988C2×D13—22no—
989C2×D13—22no—
990C2×D13—22no—
991C2×D13—22no—
992C2×D13—22no—
993C2×D13—22no—
994C2×D13—416no—
995C2×D13—416no—
996C2×D13—41no—
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#52914yescomplemented
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—22no—
1015C4×C13—22no—
1016C4×C13—22no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13—41no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13#54614yes—
1037C25—131no—
1038C25—131no—
1039C22×Q8C22×D1311yescharacteristic
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—131no—
1047C22×D4—131no—
1048C22×D4—264no—
1049C22×D4—264no—
1050C22×D4—264no—
1051C22×D4C22×D1311yescharacteristic
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4—131no—
1064C23×C4—131no—
1065C23×C4—131no—
1066C23×C4—264no—
1067C23×C4—264no—
1068C23×C4—264no—
1069C23×C4—264no—
1070C23×C4—522no—
1071C23×C4—522no—
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—24no—
1084C22⋊Q8—264no—
1085#121—264no—
1086#121—264no—
1087#120—264no—
1088#120—264no—
1089C4×Q8—264no—
1090C4×D4—24no—
1091C4×D4—138no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—522no—
1102C4×D4—522no—
1103#117—264no—
1104#117—264no—
1105#117—522no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—264no—
1125C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—264no—
1174C2×C22⋊C4—264no—
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—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—131no—
1197C2×C42—131no—
1198C2×C42—131no—
1199C2×C42—264no—
1200C2×C42—264no—
1201C2×C42—522no—
1202C2×C42C22×D1311yescharacteristic
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95C22×D1311yescharacteristic
1228#95C22×D1311yescharacteristic
1229#95C22×D1311yescharacteristic
1230#95C22×D1311yescharacteristic
1231#95C22×D1311yescharacteristic
1232#95C22×D1311yescharacteristic
1233#95C22×D1311yescharacteristic
1234#95C22×D1311yescharacteristic
1235#95C22×D1311yescharacteristic
1236#95C22×D1311yescharacteristic
1237#95C22×D1311yescharacteristic
1238#95C22×D1311yescharacteristic
1239C2×C13—24no—
1240C2×C13—42no—
1241C2×C13C2×#52511yescharacteristic
1242C2×C13C2×#52911yescharacteristic
1243C2×C13#345911yescharacteristic
1244C2×C13C2×#54611yescharacteristic
1245C2×C13D4×#4111yescharacteristic
1246C2×C13#347511yescharacteristic
1247C2×C13#348111yescharacteristic
1248D13—24no—
1249D13—42no—
1250D13—42no—
1251D13—81no—
1252C24—131no—
1253C24—131no—
1254C24—131no—
1255C24—134no—
1256C24—131no—
1257C24—262no—
1258C24—262no—
1259C24—262no—
1260C24—262no—
1261C24—262no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—521no—
1267C24—521no—
1268C24—521no—
1269C24—521no—
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—134no—
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—2632no—
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—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4—521no—
1302C2×D4#613114yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—131no—
1316C22×C4—134no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—134no—
1321C22×C4—134no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
1328C22×C4—131no—
1329C22×C4—131no—
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—262no—
1360C22×C4—262no—
1361C22×C4—262no—
1362C22×C4—262no—
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×C4C23×D1311yescharacteristic
1372C22×C4C23×D1311yescharacteristic
1373C22×C4C23×D1311yescharacteristic
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—134no—
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—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
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—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—521no—
1450C22⋊C4—521no—
1451C22⋊C4—521no—
1452C22⋊C4—521no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4D4×D1314yes—
1458C42—22no—
1459C42—134no—
1460C42—262no—
1461C42—262no—
1462C42—262no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—262no—
1471C42—521no—
1472C42—521no—
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—132no—
1485C23—132no—
1486C23—132no—
1487C23—132no—
1488C23—132no—
1489C23—268no—
1490C23—268no—
1491C23—261no—
1492C23—261no—
1493C23—261no—
1494C23—261no—
1495C23—268no—
1496C23—261no—
1497C23—261no—
1498C23—261no—
1499C23—261no—
1500C23—261no—
1501C23—261no—
1502C23—261no—
1503C23—261no—
1504C23—261no—
1505C23—261no—
1506C23—261no—
1507C23—261no—
1508C23—261no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—261no—
1514C23—261no—
1515C23—524no—
1516C23—524no—
1517C23—524no—
1518C23—524no—
1519C23—524no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23—524no—
1526C23C2×D4×D1312yes—
1527C23C2×#613112yes—
1528C23C2×#613112yes—
1529C23#41×D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—268no—
1534D4—268no—
1535D4—268no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539D4—524no—
1540D4—524no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—132no—
1580C2×C4—132no—
1581C2×C4—132no—
1582C2×C4—132no—
1583C2×C4—132no—
1584C2×C4—132no—
1585C2×C4—268no—
1586C2×C4—268no—
1587C2×C4—268no—
1588C2×C4—268no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—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×D4×D1312yes—
1630C2×C4C2×D4×D1312yes—
1631C2×C4C2×#613112yes—
1632C2×C4#41×D1312yes—
1633C2×C4#41×D1312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—134no—
1648C22—262no—
1649C22—262no—
1650C22—262no—
1651C22—262no—
1652C22—262no—
1653C22—262no—
1654C22—262no—
1655C22—262no—
1656C22—262no—
1657C22—262no—
1658C22—262no—
1659C22—262no—
1660C22—5216no—
1661C22—5216no—
1662C22—521no—
1663C22—521no—
1664C22—521no—
1665C22—521no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22#1171933214yes—
1678C22C22×D4×D1311yescharacteristic
1679C22C22×#613111yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#41×D1311yescharacteristic
1683C22D13×H(5,𝔽2)11yescharacteristic
1684C22#1171965011yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—134no—
1699C4—262no—
1700C4—262no—
1701C4—262no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—24no—
1711C2—42no—
1712C2—264no—
1713C2—522no—
1714C2—522no—
1715C2—1041no—
1716C2C2×#1171933211yescharacteristic
1717C2D13×#52911yescharacteristic
1718C2#1312824711yescharacteristic
1719C2D13×#54611yescharacteristic
1720C2#1312832011yescharacteristic
1721C2#1312840211yescharacteristic
1722C2#1312844711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2450C2
prime radical#13118209C2
hypercenter#2450D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×#11719329C2semidirect
2. C2×C4×D4×D13C2semidirect
3. #13119100C2semidirect
4. #13119085C2semidirect
5. #13118980C2semidirect
6. #13118965C2semidirect
7. #13118894C2semidirect
8. #13118879C2semidirect
9. #13118795C2semidirect
10. #13118780C2semidirect
11. #13118586C2semidirect
12. #13118499C2semidirect
13. #13118381C2semidirect
14. #13118315C2semidirect
15. #13118230C2semidirect
17. #13118162C2semidirect
18. #13118118C2semidirect
19. #13118102C2semidirect
20. #13118081C2semidirect
21. #13118077C2semidirect
22. #13117374C2semidirect
23. #13117361C2semidirect
24. #13117346C2semidirect
25. #13117337C2semidirect
26. #13117337C2semidirect
27. #13117274C2semidirect
28. #13117272C2semidirect
29. #13117218C2semidirect
30. C2×#11718327C2semidirect
31. C13×#2450C2semidirect
35. C2×C13×C22⋊Q8C22semidirect
37. C2×#88201C22semidirect
39. C2×Q8×Dic13C22semidirect
48. C22×C4×Dic13C22semidirect
49. C22×C4×Dic13C22semidirect
52. C2×#88152C22semidirect
53. C2×#88152C22semidirect
56. C2×#88147C22semidirect
57. C2×#88147C22semidirect
58. C2×#88146C22semidirect
59. C2×#88146C22semidirect
60. C2×#88146C22semidirect
62. C2×#88144C22semidirect
64. C2×#88140C22semidirect
69. C2×#88135C22semidirect
70. C2×#88135C22semidirect
75. C13×#400C22semidirect
76. C13×#398C22semidirect
77. C13×#396C22semidirect
78. C13×#393C22semidirect
79. C13×#391C22semidirect
80. C13×#387C22semidirect
83. C13×#385C22semidirect
84. C13×#385C22semidirect
85. C13×#385C22semidirect
86. C13×#380C22semidirect
87. C2×C13×#95C22semidirect
88. #11718892C22semidirect
90. #11718874C22semidirect
91. #11718874C22semidirect
92. #11718874C22semidirect
93. #11718873C22semidirect
94. #11718871C22semidirect
95. C2×#88071C22semidirect
96. #11718655C22semidirect
97. #11718655C22semidirect
98. #11718655C22semidirect
99. #11718654C22semidirect
100. #11718653C22semidirect
101. #11718652C22semidirect
102. #11718652C22semidirect
103. #11718651C22semidirect
107. #11718650C22semidirect
108. #11718650C22semidirect
112. #11718645C22semidirect
113. #11718644C22semidirect
114. #11718642C22semidirect
115. #11718639C22semidirect
116. C4⋊C4×Dic13C22semidirect
120. #11718622C22semidirect
123. #11718618C22semidirect
128. #11718614C22semidirect
129. #11718611C22semidirect
130. #11718606C22semidirect
131. #11718606C22semidirect
132. #11718605C22semidirect
133. #11718604C22semidirect
134. #11718603C22semidirect
135. C22⋊C4×Dic13C22semidirect
136. C22⋊C4×Dic13C22semidirect
137. C22⋊C4×Dic13C22semidirect
138. C22⋊C4×Dic13C22semidirect
139. #11718601C22semidirect
140. #11718589C22semidirect
141. #11718336C22semidirect
142. #11718336C22semidirect
143. #11718336C22semidirect
144. #11718335C22semidirect
145. #11718335C22semidirect
149. #11718333C22semidirect
151. #11718331C22semidirect
152. #11718331C22semidirect
153. #11718330C22semidirect
162. #11718327C22semidirect
163. #11718327C22semidirect
164. #11718327C22semidirect
165. #11718327C22semidirect
166. #11718327C22semidirect
167. #11718327C22semidirect
168. #11718327C22semidirect
173. #11718326C22semidirect
174. #11718326C22semidirect
175. #11718325C22semidirect
176. #11718325C22semidirect
177. #11718321C22semidirect
178. #11718321C22semidirect
179. #11718316C22semidirect
180. #11718316C22semidirect
181. #11718316C22semidirect
182. #11718316C22semidirect
183. #11718316C22semidirect
184. #11718310C22semidirect
185. #11718310C22semidirect
186. #11718310C22semidirect
187. #11718309C22semidirect
188. #11718308C22semidirect
350. #88135D4semidirect
623. #2450D13semidirect
816. C2×C22⋊Q8C2×D13semidirect
849. #400C2×D13semidirect
853. #398C2×D13semidirect
864. #396C2×D13semidirect
876. #393C2×D13semidirect
879. #391C2×D13semidirect
898. #387C2×D13semidirect
922. #385C2×D13semidirect
923. #385C2×D13semidirect
924. #385C2×D13semidirect
933. #380C2×D13semidirect
960. C2×#95C2×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×#117193292
C2×C4×D4×D132
#131191002
#131190852
#131189802
#131189652
#131188942
#131188792
#131187952
#131187802
#131185862
#131184992
#131183812
#131183152
#131182302
#131182092
#131181622
#131181182
#131181022
#131180812
#131180772
#131173742
#131173612
#131173462
#131173372
#131172742
#131172722
#131172182
C2×#117183272
C13×#24502
#3467013