Finite Group Databasebeta

← #16035610

Subgroups — #16035610

Order 3328.

2878 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×#11719365C211yesmaximal, characteristic, complemented
2C22×#88135C211yesmaximal, characteristic, complemented
3#13123149C211yesmaximal, characteristic, complemented
4#13123144C211yesmaximal, characteristic, complemented
5#13123126C211yesmaximal, characteristic, complemented
6#13123121C211yesmaximal, characteristic, complemented
7#13120755C211yesmaximal, characteristic, complemented
8#13120738C211yesmaximal, characteristic, complemented
9#13120710C211yesmaximal, characteristic, complemented
10#13120676C211yesmaximal, characteristic, complemented
11#13119076C211yesmaximal, characteristic, complemented
12#13118979C211yesmaximal, characteristic, complemented
13#13118870C211yesmaximal, characteristic, complemented
14#13118834C211yesmaximal, characteristic, complemented
15#13118794C211yesmaximal, characteristic, complemented
16#13118715C211yesmaximal, characteristic, complemented
17#13118648C211yesmaximal, characteristic, complemented
18#13118639C211yesmaximal, characteristic, complemented
19#13118564C211yesmaximal, characteristic, complemented
20#13118504C211yesmaximal, characteristic, complemented
21#13118388C211yesmaximal, characteristic, complemented
22#13118308C211yesmaximal, characteristic, complemented
23#13118231C211yesmaximal, characteristic, complemented
24#13118206C211yesmaximal, characteristic
25#13118161C211yesmaximal, characteristic, complemented
26#13117538C211yesmaximal, characteristic, complemented
27#13117506C211yesmaximal, characteristic, complemented
28#13117466C211yesmaximal, characteristic, complemented
29C4×#88191C211yesmaximal, characteristic, complemented
30D13×#385C211yesmaximal, characteristic, complemented
31C13×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D13C2211yescharacteristic
33C24×Dic13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic, complemented
36C2×C13×#120C2211yescharacteristic
37C2×C4×D4×C13C2211yescharacteristic
38C22×C13×C22⋊C4C2211yescharacteristic
39C2×#88192C2211yescharacteristic
40C2×#88192C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×#88189C2211yescharacteristic, complemented
43C2×#88189C2211yescharacteristic, complemented
44C2×C4×C22⋊D13C2211yescharacteristic, complemented
45C2×C4×C22⋊D13C2211yescharacteristic, complemented
46C22×#6103C2211yescharacteristic
47C2×#88178C2211yescharacteristic, complemented
48C22×#6101C2211yescharacteristic
49C22×C4×Dic13C2211yescharacteristic
50#11719365—28no—
51C2×#88150C2211yescharacteristic, complemented
52C2×C4⋊C4×D13C2211yescharacteristic, complemented
53C2×C4⋊C4×D13C2211yescharacteristic, complemented
54C2×#88144C2211yescharacteristic, complemented
55C2×#88143C2211yescharacteristic, complemented
56C2×#88137C2211yescharacteristic
57C2×#88137C2211yescharacteristic
58C2×#88137C2211yescharacteristic, complemented
59C2×#88135—28no—
60C2×#88135C2211yescharacteristic
61C2×#88135C2211yescharacteristic
62C2×#88135C2211yescharacteristic
63C2×#88135C2211yescharacteristic
64C2×#88135C2211yescharacteristic
65C2×#88135C2211yescharacteristic
66C2×#88135C2211yescharacteristic
67C2×#88135C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C22⋊C4×D13C2211yescharacteristic
70C2×#88133C2211yescharacteristic, complemented
71C2×#88133C2211yescharacteristic, complemented
72C2×#88132C2211yescharacteristic
73C2×#88132C2211yescharacteristic, complemented
74C2×#88132C2211yescharacteristic, complemented
75C13×#399C2211yescharacteristic, complemented
76C13×#397C2211yescharacteristic, complemented
77C13×#394C2211yescharacteristic, complemented
78C13×#394C2211yescharacteristic, complemented
79C13×#388C2211yescharacteristic, complemented
80C13×#388C2211yescharacteristic, complemented
81C13×#386C2211yescharacteristic
82C13×#386C2211yescharacteristic, complemented
83C13×#385C2211yescharacteristic
84C13×#380C2211yescharacteristic
85C13×#379C2211yescharacteristic
86#11718908C2211yescharacteristic
87#11718908C2211yescharacteristic
88#11718884C2211yescharacteristic
89#11718884C2211yescharacteristic
90#11718881C2211yescharacteristic
91#11718881C2211yescharacteristic
92#11718881C2211yescharacteristic
93#11718881C2211yescharacteristic, complemented
94#11718881C2211yescharacteristic, complemented
95#11718873C2211yescharacteristic
96#11718871C2211yescharacteristic
97#11718871C2211yescharacteristic
98#11718871C2211yescharacteristic, complemented
99C4×C22⋊Dic13C2211yescharacteristic
100#11718655C2211yescharacteristic, complemented
101#11718653C2211yescharacteristic, complemented
102#11718650C2211yescharacteristic, complemented
103#11718650C2211yescharacteristic, complemented
104#11718650C2211yescharacteristic, complemented
105#11718650C2211yescharacteristic, complemented
106#11718650C2211yescharacteristic, complemented
107#11718646C2211yescharacteristic, complemented
108#11718645C2211yescharacteristic, complemented
109#11718645C2211yescharacteristic, complemented
110#11718641C2211yescharacteristic, complemented
111#11718640C2211yescharacteristic, complemented
112#11718638C2211yescharacteristic, complemented
113#11718634C2211yescharacteristic, complemented
114#11718633C2211yescharacteristic, complemented
115#11718622C2211yescharacteristic
116#11718622C2211yescharacteristic
117#11718622C2211yescharacteristic
118#11718622C2211yescharacteristic
119#11718622C2211yescharacteristic, complemented
120#11718620C2211yescharacteristic
121#11718620C2211yescharacteristic
122#11718620C2211yescharacteristic, complemented
123#11718617C2211yescharacteristic
124#11718617C2211yescharacteristic
125#11718617C2211yescharacteristic
126#11718617C2211yescharacteristic
127#11718617C2211yescharacteristic, complemented
128#11718617C2211yescharacteristic, complemented
129#11718617C2211yescharacteristic, complemented
130#11718616C2211yescharacteristic
131#11718614C2211yescharacteristic, complemented
132#11718613C2211yescharacteristic, complemented
133#11718613C2211yescharacteristic, complemented
134#11718612C2211yescharacteristic, complemented
135#11718612C2211yescharacteristic, complemented
136#11718611C2211yescharacteristic
137#11718611C2211yescharacteristic
138#11718611C2211yescharacteristic
139#11718611C2211yescharacteristic, complemented
140#11718611C2211yescharacteristic, complemented
141#11718610C2211yescharacteristic, complemented
142#11718609C2211yescharacteristic, complemented
143#11718609C2211yescharacteristic, complemented
144#11718607C2211yescharacteristic
145#11718607C2211yescharacteristic
146#11718607C2211yescharacteristic
147#11718607C2211yescharacteristic
148#11718607C2211yescharacteristic, complemented
149#11718607C2211yescharacteristic, complemented
150#11718607C2211yescharacteristic, complemented
151#11718607C2211yescharacteristic, complemented
152#11718606C2211yescharacteristic, complemented
153#11718606C2211yescharacteristic, complemented
154#11718605C2211yescharacteristic, complemented
155#11718605C2211yescharacteristic, complemented
156#11718604C2211yescharacteristic, complemented
157#11718604C2211yescharacteristic, complemented
158#11718603C2211yescharacteristic
159#11718603C2211yescharacteristic, complemented
160#11718603C2211yescharacteristic, complemented
161C4×#6103C2211yescharacteristic, complemented
162C4×#6103C2211yescharacteristic, complemented
163#11718594C2211yescharacteristic, complemented
164#11718589C2211yescharacteristic, complemented
165#11718337C2211yescharacteristic, complemented
166#11718336C2211yescharacteristic, complemented
167#11718335C2211yescharacteristic, complemented
168#11718334C2211yescharacteristic, complemented
169#11718329C2211yescharacteristic, complemented
170#11718329C2211yescharacteristic, complemented
171#11718329C2211yescharacteristic, complemented
172#11718329C2211yescharacteristic, complemented
173#11718328C2211yescharacteristic, complemented
174#11718325C2211yescharacteristic, complemented
175D13×#95C2211yescharacteristic, complemented
176D13×#95C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718318C2211yescharacteristic, complemented
179#11718316C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718315C2211yescharacteristic, complemented
184#11718314C2211yescharacteristic, complemented
185#11718314C2211yescharacteristic, complemented
186#11718313C2211yescharacteristic, complemented
187#11718313C2211yescharacteristic, complemented
188#11718312C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13—24no—
198C22×C22⋊D13—24no—
199C22×C22⋊D13—24no—
200C22×C22⋊D13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C23×Dic13—24no—
207C23×Dic13—42no—
208C23×Dic13—42no—
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C23×Dic13C2311yescharacteristic
212C23×Dic13C2311yescharacteristic
213C23×Dic13C2311yescharacteristic
214C23×Dic13C2311yescharacteristic
215C23×Dic13C2311yescharacteristic
216C22×C4×D13—24no—
217C22×C4×D13—42no—
218C22×C4×D13—42no—
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×#123—24no—
229C13×#120—42no—
230C4×D4×C13—42no—
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4—24no—
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×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C42×C13C2311yescharacteristic
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
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272#88192—24no—
273#88192—24no—
274#88191—24no—
275#88189—24no—
276#88189—42no—
277C4×C22⋊D13—24no—
278C4×C22⋊D13—42no—
279C2×#6103—24no—
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×#6103C2311yescharacteristic
288C2×#6103C2311yescharacteristic
289C2×#6103C2311yescharacteristic
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×C4⋊Dic13C2311yescharacteristic
295C2×C4⋊Dic13C2311yescharacteristic
296C2×C4⋊Dic13C2311yescharacteristic
297C2×C4⋊Dic13C2311yescharacteristic
298C2×C4⋊Dic13C2311yescharacteristic
299C2×C4⋊Dic13C2311yescharacteristic
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×C4⋊Dic13C2311yescharacteristic
303#88178—24no—
304C2×#6101—24no—
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×#6101C2311yescharacteristic
323C2×#6101C2311yescharacteristic
324C2×#6101C2311yescharacteristic
325C2×C4×Dic13—24no—
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332#88150—24no—
333C4⋊C4×D13—24no—
334C4⋊C4×D13—42no—
335#88144—24no—
336#88143—24no—
337#88137—24no—
338#88137—24no—
339#88137—24no—
340#88135—24no—
341#88135—24no—
342#88135—24no—
343#88135—24no—
344#88135—24no—
345#88135—24no—
346#88135—24no—
347#88135D418yescomplemented
348C22⋊C4×D13—24no—
349C22⋊C4×D13—42no—
350#88133—24no—
351#88133—24no—
352#88132—24no—
353#88132—42no—
354#88132—42no—
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#34991—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
402C24×C13C2411yescharacteristic
403C23×D13—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13—41no—
408C23×D13—41no—
409C23×D13#4114yes—
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—41no—
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—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
441C2×C22⋊D13—232no—
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—22no—
456C2×C22⋊D13—41no—
457C2×C22⋊D13—41no—
458C2×C22⋊D13C2×D414yes—
459C2×C22⋊D13#4114yes—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—22no—
465C22×Dic13—22no—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—22no—
470C22×Dic13—22no—
471C22×Dic13—22no—
472C22×Dic13—22no—
473C22×Dic13—41no—
474C22×Dic13—41no—
475C22×Dic13—41no—
476C22×Dic13—41no—
477C22×Dic13—41no—
478C22×Dic13—41no—
479C22×Dic13—41no—
480C22×Dic13—416no—
481C22×Dic13C2×D414yes—
482C22×Dic13C2411yescharacteristic
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2411yescharacteristic
486C22×Dic13C2411yescharacteristic
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489C22×Dic13C2411yescharacteristic
490C22×Dic13C2411yescharacteristic
491C22×Dic13C2411yescharacteristic
492C22×Dic13C2411yescharacteristic
493C22×Dic13C2411yescharacteristic
494C22×Dic13C2411yescharacteristic
495C22×Dic13C2411yescharacteristic
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—41no—
508C2×C4×D13—41no—
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—416no—
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—41no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—41no—
527C13×C4⋊C4—41no—
528C13×C4⋊C4—41no—
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—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—
543C13×C22⋊C4—41no—
544C13×C22⋊C4C2×D414yes—
545C42×C13—41no—
546C22⋊Dic13—22no—
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—
562C22⋊Dic13—41no—
563C22⋊Dic13—41no—
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—41no—
574#6103—41no—
575#6103—41no—
576#6103—41no—
577#6103C2×D414yes—
578C4⋊Dic13—22no—
579C4⋊Dic13—22no—
580C4⋊Dic13—22no—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—41no—
586C4⋊Dic13—41no—
587#6101—22no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—22no—
599#6101—22no—
600#6101—41no—
601#6101—41no—
602#6101—41no—
603#6101—41no—
604#6101—41no—
605#6101—41no—
606#6101C2×D414yes—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—22no—
611C4×Dic13—41no—
612C4×Dic13C2×D414yes—
613C2×#539—131no—
614C22×C4×D4—131no—
615#2852—131no—
616#2851—131no—
617#2849—131no—
618#2848—131no—
619#2638—131no—
620#2636—131no—
621#2633—131no—
622#2630—131no—
623#2480—131no—
624#2473—131no—
625#2466—131no—
626#2463—131no—
627#2460—131no—
628#2455—131no—
629#2449—131no—
630#2449—131no—
631#2443—131no—
632#2437—131no—
633#2425—131no—
634#2419—131no—
635#2418D1311yescharacteristic, complemented
636#2412—131no—
637#2410—131no—
638#2405—131no—
639#2325—131no—
640#2322—131no—
641#2318—131no—
642C4×#120—131no—
643C2×#385—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—21no—
662C23×C13—21no—
663C23×C13—21no—
664C23×C13—21no—
665C23×C13—21no—
666C23×C13—21no—
667C23×C13—21no—
668C23×C13—44no—
669C23×C13—44no—
670C23×C13—44no—
671C23×C13—44no—
672C23×C13—44no—
673C23×C13—44no—
674C23×C13C22×D412yes—
675C23×C13C2×#4112yes—
676C23×C13C2×#4112yes—
677C23×C13H(5,𝔽2)12yes—
678C23×C132−1+412yes—
679C23×C13C2511yescharacteristic
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—28no—
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—
701D4×C13—44no—
702D4×C13—82no—
703D4×C13—82no—
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—44no—
736C2×C4×C13—44no—
737C2×C4×C13—82no—
738C2×C4×C13C22×D412yes—
739C2×C4×C13C22×D412yes—
740C22⋊D13—28no—
741C22⋊D13—28no—
742C22⋊D13—28no—
743C22⋊D13—28no—
744C22⋊D13—44no—
745C22⋊D13—44no—
746C2×Dic13—28no—
747C2×Dic13—28no—
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—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—44no—
786C2×Dic13—44no—
787C2×Dic13—44no—
788C2×Dic13—44no—
789C2×Dic13—44no—
790C2×Dic13C22×D412yes—
791C2×Dic13C22×D412yes—
792C2×Dic13C22×D412yes—
793C2×Dic13C2×#4112yes—
794C2×Dic13H(5,𝔽2)12yes—
795C4×D13—44no—
796C4×D13—44no—
797C4×D13—44no—
798C4×D13—44no—
799C4×D13—44no—
800C4×D13—44no—
801C4×D13—82no—
802C4×D13—82no—
803Dic26—82no—
804C23×D4—131no—
805C24×C4—131no—
806C24×C4—131no—
807#539—268no—
808C2×#126—131no—
809C2×#126—131no—
810C2×#125—131no—
811C2×#125—131no—
812C2×#123—131no—
813C2×#123—131no—
814C2×#123—131no—
815C2×#123—131no—
816C2×#123—131no—
817C2×#123C2×D1311yescharacteristic, complemented
818C2×C22⋊Q8—131no—
819C2×C22⋊Q8—131no—
820C2×C22⋊Q8—131no—
821C2×C22⋊Q8—131no—
822C2×C22⋊Q8—131no—
823C2×#121—131no—
824C2×#121—131no—
825C2×#120—131no—
826C2×#120C2×D1311yescharacteristic
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—131no—
836C2×C4×D4—131no—
837C2×C4×D4—268no—
838C2×C4×D4C2×D1311yescharacteristic
839C22×C4⋊C4—131no—
840C22×C4⋊C4—131no—
841C22×C4⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C22⋊C4—131no—
844C22×C22⋊C4—131no—
845C22×C22⋊C4C2×D1311yescharacteristic
846C22×C42—131no—
847#400—131no—
848#399—131no—
849#399—131no—
850#399C2×D1311yescharacteristic, complemented
851#398—131no—
852#398—131no—
853#398—131no—
854#398—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#396—131no—
864#396—131no—
865#395—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#394C2×D1311yescharacteristic, complemented
875#394C2×D1311yescharacteristic, complemented
876#393—131no—
877#392—131no—
878#392—131no—
879#389—131no—
880#389—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#388C2×D1311yescharacteristic, complemented
890#388C2×D1311yescharacteristic, complemented
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#387—131no—
900#387—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#386—131no—
913#386C2×D1311yescharacteristic
914#386C2×D1311yescharacteristic, complemented
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#385—131no—
926#385—131no—
927#385—131no—
928#385—131no—
929#385—131no—
930#385—131no—
931#385—131no—
932#385—131no—
933#385—131no—
934#385—131no—
935#385—131no—
936#385—131no—
937#385—131no—
938#385—131no—
939#385—131no—
940#385C2×D1311yescharacteristic
941#383—131no—
942#382—131no—
943#381—131no—
944#381—131no—
945#381—131no—
946#380—131no—
947#380—131no—
948#380—131no—
949#380—131no—
950#380—131no—
951#380C2×D1311yescharacteristic
952#379—131no—
953#379—131no—
954#379—131no—
955#379C2×D1311yescharacteristic
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958C4×C22⋊C4—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—41no—
983C22×C13—41no—
984C22×C13—41no—
985C22×C13—41no—
986C22×C13—41no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13#53914yescomplemented
990C22×C13C23×D411yescharacteristic
991C22×C13C22×#4111yescharacteristic
992C22×C13C22×#4111yescharacteristic
993C22×C13C2×H(5,𝔽2)11yescharacteristic
994C22×C13C2×H(5,𝔽2)11yescharacteristic
995C22×C13C2×2−1+411yescharacteristic
996C22×C13#58511yescharacteristic
997C2×D13—22no—
998C2×D13—22no—
999C2×D13—22no—
1000C2×D13—22no—
1001C2×D13—22no—
1002C2×D13—22no—
1003C2×D13—22no—
1004C2×D13—22no—
1005C2×D13—22no—
1006C2×D13—416no—
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—
1023Dic13—22no—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037C25—131no—
1038C25C22×D1311yescharacteristic
1039C22×Q8—131no—
1040C22×D4—131no—
1041C22×D4—131no—
1042C22×D4—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—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—522no—
1070C23×C4—522no—
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#125—264no—
1080#123—24no—
1081#123—264no—
1082#123—264no—
1083#123—264no—
1084#123—264no—
1085#123—522no—
1086C22⋊Q8—264no—
1087C22⋊Q8—264no—
1088C22⋊Q8—264no—
1089C22⋊Q8—522no—
1090C22⋊Q8—522no—
1091#121—264no—
1092#121—264no—
1093#120—42no—
1094#120—264no—
1095C4×D4—42no—
1096C4×D4—138no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—264no—
1102C4×D4—264no—
1103C4×D4—264no—
1104C4×D4—264no—
1105C4×D4—522no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—131no—
1127C2×C4⋊C4—131no—
1128C2×C4⋊C4—131no—
1129C2×C4⋊C4—131no—
1130C2×C4⋊C4—131no—
1131C2×C4⋊C4—131no—
1132C2×C4⋊C4—131no—
1133C2×C4⋊C4—131no—
1134C2×C4⋊C4—131no—
1135C2×C4⋊C4—264no—
1136C2×C4⋊C4—264no—
1137C2×C4⋊C4—522no—
1138C2×C4⋊C4C22×D1311yescharacteristic
1139C2×C4⋊C4C22×D1311yescharacteristic
1140C2×C4⋊C4C22×D1311yescharacteristic
1141C2×C4⋊C4C22×D1311yescharacteristic
1142C2×C4⋊C4C22×D1311yescharacteristic
1143C2×C22⋊C4—24no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—131no—
1165C2×C22⋊C4—131no—
1166C2×C22⋊C4—131no—
1167C2×C22⋊C4—131no—
1168C2×C22⋊C4—131no—
1169C2×C22⋊C4—131no—
1170C2×C22⋊C4—131no—
1171C2×C22⋊C4—131no—
1172C2×C22⋊C4—131no—
1173C2×C22⋊C4—131no—
1174C2×C22⋊C4—131no—
1175C2×C22⋊C4—131no—
1176C2×C22⋊C4—264no—
1177C2×C22⋊C4—264no—
1178C2×C22⋊C4—522no—
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×C22⋊C4C22×D1311yescharacteristic
1186C2×C22⋊C4C22×D1311yescharacteristic
1187C2×C22⋊C4C22×D1311yescharacteristic
1188C2×C22⋊C4C22×D1311yescharacteristic
1189C2×C22⋊C4C22×D1311yescharacteristic
1190C2×C22⋊C4C22×D1311yescharacteristic
1191C2×C22⋊C4C22×D1311yescharacteristic
1192C2×C22⋊C4C22×D1311yescharacteristic
1193C2×C22⋊C4C22×D1311yescharacteristic
1194C2×C22⋊C4C22×D1311yescharacteristic
1195C2×C42—131no—
1196C2×C42—131no—
1197C2×C42—131no—
1198C2×C42—131no—
1199C2×C42—131no—
1200C2×C42—131no—
1201C2×C42—264no—
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—24no—
1240C2×C13—42no—
1241C2×C13—42no—
1242C2×C13—81no—
1243C2×C13C2×#52511yescharacteristic
1244C2×C13C2×#53911yescharacteristic
1245C2×C13#345911yescharacteristic
1246C2×C13#348411yescharacteristic
1247C2×C13#348911yescharacteristic
1248C2×C13#351311yescharacteristic
1249C2×C13#352011yescharacteristic
1250D13—24no—
1251D13—42no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—41no—
1258C24—41no—
1259C24—131no—
1260C24—131no—
1261C24—134no—
1262C24—262no—
1263C24—262no—
1264C24—262no—
1265C24—262no—
1266C24—521no—
1267C24—521no—
1268C24C23×D1311yescharacteristic
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—521no—
1274C2×Q8—521no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—41no—
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—262no—
1291C2×D4—262no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—2632no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—262no—
1298C2×D4—262no—
1299C2×D4—262no—
1300C2×D4—262no—
1301C2×D4—521no—
1302C2×D4—521no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—131no—
1313C22×C4—131no—
1314C22×C4—131no—
1315C22×C4—131no—
1316C22×C4—131no—
1317C22×C4—134no—
1318C22×C4—134no—
1319C22×C4—131no—
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—521no—
1353C22×C4—521no—
1354C22×C4—521no—
1355C22×C4—521no—
1356C22×C4—521no—
1357C22×C4—521no—
1358C22×C4—521no—
1359C22×C4—521no—
1360C22×C4—521no—
1361C22×C4—521no—
1362C22×C4—521no—
1363C22×C4—521no—
1364C22×C4—5216no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—521no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4—521no—
1371C22×C4—521no—
1372C22×C4—5216no—
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—41no—
1389C4⋊C4—134no—
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—262no—
1407C4⋊C4—262no—
1408C4⋊C4—262no—
1409C4⋊C4—262no—
1410C4⋊C4—521no—
1411C4⋊C4—521no—
1412C4⋊C4—521no—
1413C4⋊C4—521no—
1414C4⋊C4—521no—
1415C4⋊C4—521no—
1416C4⋊C4—521no—
1417C4⋊C4—521no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—134no—
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—262no—
1453C22⋊C4—262no—
1454C22⋊C4—262no—
1455C22⋊C4—262no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C22⋊C4—521no—
1459C22⋊C4—521no—
1460C22⋊C4—521no—
1461C22⋊C4—521no—
1462C22⋊C4—521no—
1463C22⋊C4—521no—
1464C22⋊C4—521no—
1465C22⋊C4D4×D1314yes—
1466C42—41no—
1467C42—134no—
1468C42—262no—
1469C42—262no—
1470C42—262no—
1471C42—262no—
1472C42—521no—
1473C13#3499111yescharacteristic, 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—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—132no—
1505C23—132no—
1506C23—132no—
1507C23—132no—
1508C23—268no—
1509C23—261no—
1510C23—261no—
1511C23—261no—
1512C23—261no—
1513C23—268no—
1514C23—261no—
1515C23—261no—
1516C23—261no—
1517C23—261no—
1518C23—261no—
1519C23—261no—
1520C23—524no—
1521C23—524no—
1522C23—524no—
1523C23—524no—
1524C23—524no—
1525C23C2×D4×D1312yes—
1526C23#8825112yes—
1527C23#41×D1312yes—
1528C23#41×D1312yes—
1529C23#8825712yes—
1530C23C24×D1311yescharacteristic
1531Q8—1042no—
1532D4—44no—
1533D4—82no—
1534D4—82no—
1535D4—268no—
1536D4—268no—
1537D4—268no—
1538D4—268no—
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—44no—
1573C2×C4—44no—
1574C2×C4—82no—
1575C2×C4—132no—
1576C2×C4—132no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—132no—
1580C2×C4—268no—
1581C2×C4—268no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—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×C4—524no—
1630C2×C4—1042no—
1631C2×C4—1042no—
1632C2×C4C2×D4×D1312yes—
1633C2×C4C2×D4×D1312yes—
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—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—134no—
1663C22—262no—
1664C22—262no—
1665C22—262no—
1666C22—262no—
1667C22—262no—
1668C22—262no—
1669C22—262no—
1670C22—262no—
1671C22—262no—
1672C22—5216no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22—521no—
1677C22#1171936514yescomplemented
1678C22C22×D4×D1311yescharacteristic
1679C22C2×#8825111yescharacteristic
1680C22C2×#41×D1311yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#8825711yescharacteristic
1683C22D13×H(5,𝔽2)11yescharacteristic
1684C22#1171965011yescharacteristic
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—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—264no—
1715C2—522no—
1716C2D13×#52511yescharacteristic
1717C2C2×#1171936511yescharacteristic
1718C2#1312824711yescharacteristic
1719C2#1312846411yescharacteristic
1720C2#1312850711yescharacteristic
1721C2#1312876911yescharacteristic
1722C2#1312887411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2418C2
prime radical#13118206C2
hypercenter#2418D13
hypocenterC13#34991
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#11719365C2semidirect
2. C22×#88135C2semidirect
3. #13123149C2semidirect
4. #13123144C2semidirect
5. #13123126C2semidirect
6. #13123121C2semidirect
7. #13120755C2semidirect
8. #13120738C2semidirect
9. #13120710C2semidirect
10. #13120676C2semidirect
11. #13119076C2semidirect
12. #13118979C2semidirect
13. #13118870C2semidirect
14. #13118834C2semidirect
15. #13118794C2semidirect
16. #13118715C2semidirect
17. #13118648C2semidirect
18. #13118639C2semidirect
19. #13118564C2semidirect
20. #13118504C2semidirect
21. #13118388C2semidirect
22. #13118308C2semidirect
23. #13118231C2semidirect
25. #13118161C2semidirect
26. #13117538C2semidirect
27. #13117506C2semidirect
28. #13117466C2semidirect
29. C4×#88191C2semidirect
30. D13×#385C2semidirect
31. C13×#2418C2semidirect
35. C2×C13×#123C22semidirect
42. C2×#88189C22semidirect
43. C2×#88189C22semidirect
44. C2×C4×C22⋊D13C22semidirect
45. C2×C4×C22⋊D13C22semidirect
47. C2×#88178C22semidirect
51. C2×#88150C22semidirect
52. C2×C4⋊C4×D13C22semidirect
53. C2×C4⋊C4×D13C22semidirect
54. C2×#88144C22semidirect
55. C2×#88143C22semidirect
58. C2×#88137C22semidirect
70. C2×#88133C22semidirect
71. C2×#88133C22semidirect
73. C2×#88132C22semidirect
74. C2×#88132C22semidirect
75. C13×#399C22semidirect
76. C13×#397C22semidirect
77. C13×#394C22semidirect
78. C13×#394C22semidirect
79. C13×#388C22semidirect
80. C13×#388C22semidirect
82. C13×#386C22semidirect
93. #11718881C22semidirect
94. #11718881C22semidirect
98. #11718871C22semidirect
100. #11718655C22semidirect
101. #11718653C22semidirect
102. #11718650C22semidirect
103. #11718650C22semidirect
104. #11718650C22semidirect
105. #11718650C22semidirect
106. #11718650C22semidirect
107. #11718646C22semidirect
108. #11718645C22semidirect
109. #11718645C22semidirect
110. #11718641C22semidirect
111. #11718640C22semidirect
112. #11718638C22semidirect
113. #11718634C22semidirect
114. #11718633C22semidirect
119. #11718622C22semidirect
122. #11718620C22semidirect
127. #11718617C22semidirect
128. #11718617C22semidirect
129. #11718617C22semidirect
131. #11718614C22semidirect
132. #11718613C22semidirect
133. #11718613C22semidirect
134. #11718612C22semidirect
135. #11718612C22semidirect
139. #11718611C22semidirect
140. #11718611C22semidirect
141. #11718610C22semidirect
142. #11718609C22semidirect
143. #11718609C22semidirect
148. #11718607C22semidirect
149. #11718607C22semidirect
150. #11718607C22semidirect
151. #11718607C22semidirect
152. #11718606C22semidirect
153. #11718606C22semidirect
154. #11718605C22semidirect
155. #11718605C22semidirect
156. #11718604C22semidirect
157. #11718604C22semidirect
159. #11718603C22semidirect
160. #11718603C22semidirect
161. C4×#6103C22semidirect
162. C4×#6103C22semidirect
163. #11718594C22semidirect
164. #11718589C22semidirect
165. #11718337C22semidirect
166. #11718336C22semidirect
167. #11718335C22semidirect
168. #11718334C22semidirect
169. #11718329C22semidirect
170. #11718329C22semidirect
171. #11718329C22semidirect
172. #11718329C22semidirect
173. #11718328C22semidirect
174. #11718325C22semidirect
175. D13×#95C22semidirect
176. D13×#95C22semidirect
177. #11718319C22semidirect
178. #11718318C22semidirect
179. #11718316C22semidirect
180. #11718316C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718315C22semidirect
184. #11718314C22semidirect
185. #11718314C22semidirect
186. #11718313C22semidirect
187. #11718313C22semidirect
188. #11718312C22semidirect
347. #88135D4semidirect
635. #2418D13semidirect
817. C2×#123C2×D13semidirect
850. #399C2×D13semidirect
860. #397C2×D13semidirect
874. #394C2×D13semidirect
875. #394C2×D13semidirect
889. #388C2×D13semidirect
890. #388C2×D13semidirect
914. #386C2×D13semidirect
989. C22×C13#539semidirect
1473. C13#34991semidirect
1677. C22#11719365semidirect

Maximal subgroups

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

subgroupindex
C2×#117193652
C22×#881352
#131231492
#131231442
#131231262
#131231212
#131207552
#131207382
#131207102
#131206762
#131190762
#131189792
#131188702
#131188342
#131187942
#131187152
#131186482
#131186392
#131185642
#131185042
#131183882
#131183082
#131182312
#131182062
#131181612
#131175382
#131175062
#131174662
C4×#881912
D13×#3852
C13×#24182
#3499113