Finite Group Databasebeta

← #16035089

Subgroups — #16035089

Order 3328.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13120380C211yesmaximal, characteristic, complemented
2#13120353C211yesmaximal, characteristic, complemented
3#13120288C211yesmaximal, characteristic, complemented
4#13120261C211yesmaximal, characteristic, complemented
5#13120163C211yesmaximal, characteristic, complemented
6#13120136C211yesmaximal, characteristic, complemented
7#13119966C211yesmaximal, characteristic, complemented
8#13119939C211yesmaximal, characteristic, complemented
9#13119394C211yesmaximal, characteristic, complemented
10#13119337C211yesmaximal, characteristic, complemented
11#13119089C211yesmaximal, characteristic, complemented
12#13118964C211yesmaximal, characteristic, complemented
13#13118666C211yesmaximal, characteristic, complemented
14#13118378C211yesmaximal, characteristic
15#13118292C211yesmaximal, characteristic, complemented
16#13118135C211yesmaximal, characteristic, complemented
17#13118121C211yesmaximal, characteristic, complemented
18#13118094C211yesmaximal, characteristic, complemented
19#13118079C211yesmaximal, characteristic, complemented
20#13117386C211yesmaximal, characteristic, complemented
21#13117377C211yesmaximal, characteristic, complemented
22#13117368C211yesmaximal, characteristic, complemented
23#13117353C211yesmaximal, characteristic, complemented
24#121×Dic13C211yesmaximal, characteristic, complemented
25#13117346C211yesmaximal, characteristic, complemented
26#13117341C211yesmaximal, characteristic, complemented
27#13117341C211yesmaximal, characteristic, complemented
28#13117276C211yesmaximal, characteristic, complemented
29C4×D4×Dic13C211yesmaximal, characteristic, complemented
30C2×#11718327C211yesmaximal, characteristic, complemented
31C13×#2444C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#121C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×#88193C2211yescharacteristic
36C2×#88191C2211yescharacteristic
37C2×#88191C2211yescharacteristic
38C2×D4×Dic13C2211yescharacteristic
39C2×D4×Dic13C2211yescharacteristic
40C2×D4×Dic13C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic, complemented
42C2×#88183C2211yescharacteristic
43C22×#6103C2211yescharacteristic
44C22×#6103C2211yescharacteristic
45C22×C4×Dic13C2211yescharacteristic
46C22×C4×Dic13C2211yescharacteristic
47C22×C4×Dic13C2211yescharacteristic, complemented
48C2×#88152C2211yescharacteristic
49C2×#88141C2211yescharacteristic, complemented
50C2×#88139C2211yescharacteristic
51C2×#88135C2211yescharacteristic
52C2×#88135C2211yescharacteristic
53C2×#88135C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×#88132C2211yescharacteristic
56C2×#88131C2211yescharacteristic, complemented
57C13×#400C2211yescharacteristic, complemented
58C13×#397C2211yescharacteristic, complemented
59C13×#397C2211yescharacteristic, complemented
60C13×#394C2211yescharacteristic, complemented
61C13×#388C2211yescharacteristic, complemented
62C13×#387C2211yescharacteristic, complemented
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#386C2211yescharacteristic
66C13×#386C2211yescharacteristic, complemented
67C13×#385C2211yescharacteristic
68C13×#381C2211yescharacteristic, complemented
69C2×C13×#95C2211yescharacteristic
70#11718884C2211yescharacteristic
71#11718882C2211yescharacteristic, complemented
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic
74#11718881C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718873C2211yescharacteristic
77#11718871C2211yescharacteristic
78#11718871C2211yescharacteristic
79#11718871C2211yescharacteristic
80#11718871C2211yescharacteristic
81C4×C22⋊Dic13C2211yescharacteristic
82C4×C22⋊Dic13C2211yescharacteristic, complemented
83C2×#88071C2211yescharacteristic
84#11718655C2211yescharacteristic
85#11718655C2211yescharacteristic
86#11718654C2211yescharacteristic
87#11718654C2211yescharacteristic
88#11718653C2211yescharacteristic
89#11718651C2211yescharacteristic
90#11718651C2211yescharacteristic
91#11718646C2211yescharacteristic, complemented
92#11718639C2211yescharacteristic, complemented
93C4⋊C4×Dic13C2211yescharacteristic, complemented
94C4⋊C4×Dic13C2211yescharacteristic, complemented
95C4⋊C4×Dic13C2211yescharacteristic, complemented
96C4⋊C4×Dic13C2211yescharacteristic, complemented
97#11718633C2211yescharacteristic, complemented
98#11718622C2211yescharacteristic
99#11718622C2211yescharacteristic
100#11718620C2211yescharacteristic
101#11718620C2211yescharacteristic
102#11718620C2211yescharacteristic
103#11718620C2211yescharacteristic
104#11718619C2211yescharacteristic
105#11718618C2211yescharacteristic
106#11718618C2211yescharacteristic
107#11718617C2211yescharacteristic
108#11718617C2211yescharacteristic
109#11718617C2211yescharacteristic
110#11718617C2211yescharacteristic
111#11718616C2211yescharacteristic
112#11718616C2211yescharacteristic
113#11718613C2211yescharacteristic, complemented
114#11718613C2211yescharacteristic, complemented
115#11718612C2211yescharacteristic, complemented
116#11718612C2211yescharacteristic, complemented
117#11718609C2211yescharacteristic, complemented
118#11718608C2211yescharacteristic, complemented
119#11718607C2211yescharacteristic
120#11718607C2211yescharacteristic, complemented
121#11718606C2211yescharacteristic, complemented
122#11718606C2211yescharacteristic, complemented
123#11718605C2211yescharacteristic, complemented
124#11718605C2211yescharacteristic, complemented
125#11718603C2211yescharacteristic
126#11718603C2211yescharacteristic, complemented
127C22⋊C4×Dic13C2211yescharacteristic
128C22⋊C4×Dic13C2211yescharacteristic
129C22⋊C4×Dic13C2211yescharacteristic
130C22⋊C4×Dic13C2211yescharacteristic, complemented
131C22⋊C4×Dic13C2211yescharacteristic, complemented
132C22⋊C4×Dic13C2211yescharacteristic, complemented
133C22⋊C4×Dic13C2211yescharacteristic, complemented
134C22⋊C4×Dic13C2211yescharacteristic, complemented
135#11718601C2211yescharacteristic
136#11718601C2211yescharacteristic
137C4×C4⋊Dic13C2211yescharacteristic, complemented
138C42×Dic13C2211yescharacteristic, complemented
139#11718336C2211yescharacteristic
140#11718336C2211yescharacteristic
141#11718335C2211yescharacteristic
142#11718334C2211yescharacteristic
143#11718331C2211yescharacteristic
144#11718331C2211yescharacteristic
145#11718330C2211yescharacteristic
146#11718330C2211yescharacteristic
147#11718329C2211yescharacteristic
148#11718329C2211yescharacteristic
149#11718329C2211yescharacteristic
150#11718329C2211yescharacteristic
151#11718327C2211yescharacteristic
152#11718327C2211yescharacteristic
153#11718327C2211yescharacteristic
154#11718327C2211yescharacteristic
155#11718327C2211yescharacteristic
156#11718327C2211yescharacteristic
157#11718327C2211yescharacteristic
158#11718327C2211yescharacteristic
159#11718327C2211yescharacteristic
160#11718327C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic
163C13⋊#401C2211yescharacteristic, complemented
164#11718321C2211yescharacteristic, complemented
165#11718320C2211yescharacteristic, complemented
166#11718319C2211yescharacteristic, complemented
167#11718319C2211yescharacteristic, complemented
168#11718319C2211yescharacteristic, complemented
169#11718318C2211yescharacteristic, complemented
170#11718318C2211yescharacteristic, complemented
171#11718316C2211yescharacteristic, complemented
172#11718315C2211yescharacteristic, complemented
173#11718314C2211yescharacteristic, complemented
174#11718314C2211yescharacteristic, complemented
175#11718314C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718312C2211yescharacteristic, complemented
179#11718311C2211yescharacteristic, complemented
180#11718310C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718309C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C22×C4×D13—24no—
206C22×C4×D13—42no—
207C22×C4×D13—42no—
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#121—24no—
214C4×D4×C13—24no—
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C22⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C42×C13C2311yescharacteristic
231C2×C22⋊Dic13C2311yescharacteristic
232C2×C22⋊Dic13C2311yescharacteristic
233C2×C22⋊Dic13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
241C2×C22⋊Dic13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244#88193—24no—
245#88191—24no—
246#88191—24no—
247D4×Dic13—24no—
248D4×Dic13—24no—
249D4×Dic13—24no—
250D4×Dic13—42no—
251#88183—24no—
252C2×#6103—24no—
253C2×#6103—24no—
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262C2×#6103C2311yescharacteristic
263C2×#6103C2311yescharacteristic
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×C4×Dic13—42no—
295C2×C4×Dic13—42no—
296C2×C4×Dic13—42no—
297C2×C4×Dic13C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316#88152—24no—
317#88141—42no—
318#88139—24no—
319#88135—42no—
320#88135—42no—
321#88135—42no—
322#88135—42no—
323#88132—24no—
324#88131—42no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#34959—131nomaximal, Sylow
370C24×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C2×D4×C13—22no—
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—41no—
390C2×D4×C13#4114yes—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—22no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—41no—
424C2×C22⋊D13—41no—
425C2×C22⋊D13—41no—
426C2×C22⋊D13—41no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13#4114yes—
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C2×C4×D13—22no—
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—416no—
472C2×Dic26—22no—
473C2×Dic26—22no—
474C2×Dic26—41no—
475C13×C4⋊C4—22no—
476C13×C4⋊C4—22no—
477C13×C4⋊C4—22no—
478C13×C4⋊C4—41no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—22no—
484C13×C22⋊C4—22no—
485C13×C22⋊C4—41no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4—41no—
490C42×C13—22no—
491C22⋊Dic13—22no—
492C22⋊Dic13—22no—
493C22⋊Dic13—22no—
494C22⋊Dic13—22no—
495C22⋊Dic13—22no—
496C22⋊Dic13—22no—
497C22⋊Dic13—22no—
498C22⋊Dic13—22no—
499C22⋊Dic13—22no—
500C22⋊Dic13—41no—
501C22⋊Dic13—41no—
502C22⋊Dic13—41no—
503C22⋊Dic13#4114yes—
504#6103—22no—
505#6103—22no—
506#6103—22no—
507#6103—22no—
508#6103—22no—
509#6103—22no—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—41no—
519#6103—41no—
520#6103—41no—
521#6103—41no—
522#6103#4114yes—
523#6103#4114yes—
524C4⋊Dic13—22no—
525C4⋊Dic13—22no—
526C4⋊Dic13—22no—
527C4⋊Dic13—22no—
528C4⋊Dic13—22no—
529C4⋊Dic13—41no—
530#6101—22no—
531#6101—22no—
532#6101—22no—
533#6101—22no—
534#6101—22no—
535#6101—22no—
536#6101—41no—
537#6101—41no—
538#6101—41no—
539#6101—41no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544C4×Dic13—22no—
545C4×Dic13—22no—
546C4×Dic13—22no—
547C4×Dic13—22no—
548C4×Dic13—22no—
549C4×Dic13—22no—
550C4×Dic13—22no—
551C4×Dic13—22no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—41no—
558C4×Dic13—41no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563#2597—131no—
564#2595—131no—
565#2589—131no—
566#2587—131no—
567#2578—131no—
568#2576—131no—
569#2559—131no—
570#2557—131no—
571#2510—131no—
572#2505—131no—
573#2480—131no—
574#2472—131no—
575#2450—131no—
576#2444D1311yescharacteristic, complemented
577#2424—131no—
578#2418—131no—
579#2401—131no—
580#2398—131no—
581#2395—131no—
582#2392—131no—
583C4×#126—131no—
584C4×#124—131no—
585C4×C22⋊Q8—131no—
586C4×#123—131no—
587C4×#121—131no—
588C4×#121—131no—
589C4×#120—131no—
590C4×#120—131no—
591#2290—131no—
592C42×D4—131no—
593C2×C4×C22⋊C4—131no—
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13C2×#4112yes—
612C23×C13C2×#4112yes—
613C23×C13C2×#4112yes—
614C23×C13C2×#4112yes—
615C23×C13C2511yescharacteristic
616C22×D13—28no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13—44no—
633C22×D13—44no—
634C22×D13—44no—
635C22×D13C2×#4112yes—
636C22×D13C2×#4112yes—
637D4×C13—28no—
638D4×C13—44no—
639D4×C13—44no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—44no—
674C2×C4×C13—44no—
675C2×C4×C13—44no—
676C2×C4×C13—44no—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13C2×#4112yes—
679C2×C4×C13C2×#4112yes—
680C22⋊D13—44no—
681C22⋊D13—44no—
682C22⋊D13—44no—
683C22⋊D13—44no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—28no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—44no—
720C2×Dic13—44no—
721C2×Dic13—44no—
722C2×Dic13—44no—
723C2×Dic13—44no—
724C2×Dic13C2×#4112yes—
725C2×Dic13C2×#4112yes—
726C2×Dic13C2×#4112yes—
727C2×Dic13C2×#4112yes—
728C2×Dic13C2×#4112yes—
729C2×Dic13C2×#4112yes—
730C2×Dic13H(5,𝔽2)12yes—
731C2×Dic13H(5,𝔽2)12yes—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736Dic26—44no—
737C24×C4—131no—
738C2×#126—131no—
739C2×#124—131no—
740C2×#123—131no—
741C2×C22⋊Q8—131no—
742C2×#121—131no—
743C2×#121C2×D1311yescharacteristic
744C2×#120—131no—
745C2×#120—131no—
746C2×C4×Q8—131no—
747C2×C4×D4—131no—
748C2×C4×D4—131no—
749C2×C4×D4—131no—
750C2×C4×D4—131no—
751C2×C4×D4—131no—
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4—131no—
755C2×C4×D4C2×D1311yescharacteristic
756C2×#117—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
759C22×C42—131no—
760C22×C42—131no—
761C22×C42—131no—
762#401—131no—
763#400—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400—131no—
768#400C2×D1311yescharacteristic, complemented
769#399—131no—
770#398—131no—
771#398—131no—
772#397—131no—
773#397—131no—
774#397—131no—
775#397—131no—
776#397—131no—
777#397—131no—
778#397—131no—
779#397C2×D1311yescharacteristic, complemented
780#397C2×D1311yescharacteristic, complemented
781#396—131no—
782#396—131no—
783#396—131no—
784#394—131no—
785#394—131no—
786#394—131no—
787#394—131no—
788#394—131no—
789#394—131no—
790#394C2×D1311yescharacteristic, complemented
791#393—131no—
792#393—131no—
793#392—131no—
794#391—131no—
795#391—131no—
796#390—131no—
797#390—131no—
798#390—131no—
799#389—131no—
800#389—131no—
801#389—131no—
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388—131no—
816#388C2×D1311yescharacteristic, complemented
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387—131no—
825#387C2×D1311yescharacteristic, complemented
826#386—131no—
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386C2×D1311yescharacteristic
836#386C2×D1311yescharacteristic
837#386C2×D1311yescharacteristic
838#386C2×D1311yescharacteristic, complemented
839#385—131no—
840#385—131no—
841#385—131no—
842#385—131no—
843#385—131no—
844#385—131no—
845#385—131no—
846#385—131no—
847#385—131no—
848#385—131no—
849#385C2×D1311yescharacteristic
850#383—131no—
851#382—131no—
852#381C2×D1311yescharacteristic, complemented
853#380—131no—
854#380—131no—
855#380—131no—
856#379—131no—
857#379—131no—
858C4×C4⋊C4—131no—
859C4×C4⋊C4—131no—
860C4×C4⋊C4—131no—
861C4×C4⋊C4—131no—
862C4×C4⋊C4—131no—
863C4×C4⋊C4—131no—
864C4×C4⋊C4—131no—
865C4×C4⋊C4—131no—
866C4×C22⋊C4—131no—
867C4×C22⋊C4—131no—
868C4×C22⋊C4—131no—
869C4×C22⋊C4—131no—
870C4×C22⋊C4—131no—
871C4×C22⋊C4—131no—
872C4×C22⋊C4—131no—
873C4×C22⋊C4—131no—
874C4×C22⋊C4—131no—
875C4×C22⋊C4—131no—
876C4×C22⋊C4—131no—
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887C4×C22⋊C4—131no—
888#376—131no—
889C2×#95—131no—
890C2×#95C2×D1311yescharacteristic
891C43—131no—
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13#52914yes—
913C22×C13C22×#4111yescharacteristic
914C22×C13C22×#4111yescharacteristic
915C22×C13C22×#4111yescharacteristic
916C22×C13C22×#4111yescharacteristic
917C22×C13C22×#4111yescharacteristic
918C22×C13C2×H(5,𝔽2)11yescharacteristic
919C22×C13C2×H(5,𝔽2)11yescharacteristic
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—22no—
924C2×D13—22no—
925C2×D13—22no—
926C2×D13—416no—
927C2×D13—41no—
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13—41no—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—41no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13—41no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—22no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13#53814yes—
961C25—131no—
962C22×Q8—131no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4—131no—
967C22×D4C22×D1311yescharacteristic
968C22×D4C22×D1311yescharacteristic
969C22×D4C22×D1311yescharacteristic
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—264no—
981C23×C4—522no—
982C23×C4—522no—
983C23×C4C22×D1311yescharacteristic
984C23×C4C22×D1311yescharacteristic
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—264no—
989#123—264no—
990C22⋊Q8—264no—
991#121—24no—
992#121—264no—
993#120—264no—
994#120—264no—
995C4×Q8—522no—
996C4×D4—24no—
997C4×D4—264no—
998C4×D4—264no—
999C4×D4—264no—
1000C4×D4—522no—
1001C4×D4—522no—
1002C4×D4—522no—
1003C4×D4—522no—
1004C4×D4—522no—
1005#117—522no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4—131no—
1017C2×C4⋊C4—131no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—131no—
1020C2×C4⋊C4—131no—
1021C2×C4⋊C4—131no—
1022C2×C4⋊C4—131no—
1023C2×C4⋊C4—131no—
1024C2×C4⋊C4—131no—
1025C2×C4⋊C4—131no—
1026C2×C4⋊C4C22×D1311yescharacteristic
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C22⋊C4—131no—
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—131no—
1056C2×C22⋊C4—131no—
1057C2×C22⋊C4—131no—
1058C2×C22⋊C4—131no—
1059C2×C22⋊C4—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—264no—
1064C2×C22⋊C4—264no—
1065C2×C22⋊C4C22×D1311yescharacteristic
1066C2×C22⋊C4C22×D1311yescharacteristic
1067C2×C22⋊C4C22×D1311yescharacteristic
1068C2×C22⋊C4C22×D1311yescharacteristic
1069C2×C22⋊C4C22×D1311yescharacteristic
1070C2×C22⋊C4C22×D1311yescharacteristic
1071C2×C22⋊C4C22×D1311yescharacteristic
1072C2×C22⋊C4C22×D1311yescharacteristic
1073C2×C22⋊C4C22×D1311yescharacteristic
1074C2×C22⋊C4C22×D1311yescharacteristic
1075C2×C22⋊C4C22×D1311yescharacteristic
1076C2×C42—131no—
1077C2×C42—131no—
1078C2×C42—131no—
1079C2×C42—131no—
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—131no—
1088C2×C42—131no—
1089C2×C42—131no—
1090C2×C42—131no—
1091C2×C42—131no—
1092C2×C42—131no—
1093C2×C42—131no—
1094C2×C42—131no—
1095C2×C42—522no—
1096C2×C42—522no—
1097C2×C42—522no—
1098C2×C42C22×D1311yescharacteristic
1099#95—131no—
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95—131no—
1105#95—131no—
1106#95—131no—
1107#95—131no—
1108#95—131no—
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
1125#95—131no—
1126#95—131no—
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95C22×D1311yescharacteristic
1132#95C22×D1311yescharacteristic
1133#95C22×D1311yescharacteristic
1134#95C22×D1311yescharacteristic
1135#95C22×D1311yescharacteristic
1136#95C22×D1311yescharacteristic
1137#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143C2×C13—24no—
1144C2×C13—42no—
1145C2×C13—81no—
1146C2×C13C2×#52911yescharacteristic
1147C2×C13#344411yescharacteristic
1148C2×C13C2×#53811yescharacteristic
1149C2×C13#348111yescharacteristic
1150C2×C13#348111yescharacteristic
1151C2×C13#348111yescharacteristic
1152C2×C13#348111yescharacteristic
1153D13—42no—
1154D13—42no—
1155C24—131no—
1156C24—131no—
1157C24—262no—
1158C24—262no—
1159C24—262no—
1160C24—262no—
1161C24—262no—
1162C24—521no—
1163C24—521no—
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C24C23×D1311yescharacteristic
1167C2×Q8—262no—
1168C2×Q8—262no—
1169C2×Q8—521no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—41no—
1178C2×D4—262no—
1179C2×D4—262no—
1180C2×D4—262no—
1181C2×D4—262no—
1182C2×D4—262no—
1183C2×D4—262no—
1184C2×D4—262no—
1185C2×D4—262no—
1186C2×D4—521no—
1187C2×D4—521no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4#612914yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—131no—
1204C22×C4—134no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—131no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—131no—
1217C22×C4—131no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—262no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—5216no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4—521no—
1248C22×C4C23×D1311yescharacteristic
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C22×C4C23×D1311yescharacteristic
1256C22×C4C23×D1311yescharacteristic
1257C22×C4C23×D1311yescharacteristic
1258C22×C4C23×D1311yescharacteristic
1259C22×C4C23×D1311yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—262no—
1265C4⋊C4—262no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—262no—
1272C4⋊C4—262no—
1273C4⋊C4—262no—
1274C4⋊C4—262no—
1275C4⋊C4—521no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—134no—
1296C22⋊C4—134no—
1297C22⋊C4—134no—
1298C22⋊C4—262no—
1299C22⋊C4—262no—
1300C22⋊C4—262no—
1301C22⋊C4—262no—
1302C22⋊C4—262no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
1305C22⋊C4—262no—
1306C22⋊C4—262no—
1307C22⋊C4—262no—
1308C22⋊C4—262no—
1309C22⋊C4—262no—
1310C22⋊C4—262no—
1311C22⋊C4—262no—
1312C22⋊C4—262no—
1313C22⋊C4—262no—
1314C22⋊C4—262no—
1315C22⋊C4—262no—
1316C22⋊C4—262no—
1317C22⋊C4—262no—
1318C22⋊C4—262no—
1319C22⋊C4—262no—
1320C22⋊C4—262no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4—521no—
1327C22⋊C4—521no—
1328C42—22no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
1346C42—521no—
1347C42—521no—
1348C13#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—132no—
1367C23—132no—
1368C23—268no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—524no—
1382C23—524no—
1383C23—524no—
1384C23—524no—
1385C23—524no—
1386C23—524no—
1387C23C2×#612912yes—
1388C23C2×#612912yes—
1389C23#41×D1312yes—
1390C23#41×D1312yes—
1391C23C24×D1311yescharacteristic
1392Q8—524no—
1393D4—28no—
1394D4—44no—
1395D4—44no—
1396D4—524no—
1397D4—524no—
1398D4—524no—
1399D4—524no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—132no—
1438C2×C4—132no—
1439C2×C4—132no—
1440C2×C4—132no—
1441C2×C4—132no—
1442C2×C4—132no—
1443C2×C4—132no—
1444C2×C4—132no—
1445C2×C4—268no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—261no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4—524no—
1485C2×C4—524no—
1486C2×C4—524no—
1487C2×C4—524no—
1488C2×C4—524no—
1489C2×C4C2×#612912yes—
1490C2×C4#41×D1312yes—
1491C2×C4#41×D1312yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—262no—
1513C22—262no—
1514C22—262no—
1515C22—262no—
1516C22—262no—
1517C22—262no—
1518C22—5216no—
1519C22—521no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22#1171935414yes—
1528C22C22×#612911yescharacteristic
1529C22C2×#41×D1311yescharacteristic
1530C22C2×#41×D1311yescharacteristic
1531C22C2×#41×D1311yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22D13×H(5,𝔽2)11yescharacteristic
1534C22D13×H(5,𝔽2)11yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—134no—
1548C4—262no—
1549C4—262no—
1550C4—262no—
1551C4—262no—
1552C4—262no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4—521no—
1561C2—24no—
1562C2—42no—
1563C2—81no—
1564C2—522no—
1565C2—522no—
1566C2C2×#1171935411yescharacteristic
1567C2#1312813011yescharacteristic
1568C2D13×#53811yescharacteristic
1569C2#1312844111yescharacteristic
1570C2#1312844111yescharacteristic
1571C2#1312844311yescharacteristic
1572C2#1312844311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2444C2
prime radical#13118378C2
hypercenter#2444D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #13120380C2semidirect
2. #13120353C2semidirect
3. #13120288C2semidirect
4. #13120261C2semidirect
5. #13120163C2semidirect
6. #13120136C2semidirect
7. #13119966C2semidirect
8. #13119939C2semidirect
9. #13119394C2semidirect
10. #13119337C2semidirect
11. #13119089C2semidirect
12. #13118964C2semidirect
13. #13118666C2semidirect
15. #13118292C2semidirect
16. #13118135C2semidirect
17. #13118121C2semidirect
18. #13118094C2semidirect
19. #13118079C2semidirect
20. #13117386C2semidirect
21. #13117377C2semidirect
22. #13117368C2semidirect
23. #13117353C2semidirect
24. #121×Dic13C2semidirect
25. #13117346C2semidirect
26. #13117341C2semidirect
27. #13117341C2semidirect
28. #13117276C2semidirect
29. C4×D4×Dic13C2semidirect
30. C2×#11718327C2semidirect
31. C13×#2444C2semidirect
41. C2×D4×Dic13C22semidirect
47. C22×C4×Dic13C22semidirect
49. C2×#88141C22semidirect
56. C2×#88131C22semidirect
57. C13×#400C22semidirect
58. C13×#397C22semidirect
59. C13×#397C22semidirect
60. C13×#394C22semidirect
61. C13×#388C22semidirect
62. C13×#387C22semidirect
66. C13×#386C22semidirect
68. C13×#381C22semidirect
71. #11718882C22semidirect
82. C4×C22⋊Dic13C22semidirect
91. #11718646C22semidirect
92. #11718639C22semidirect
93. C4⋊C4×Dic13C22semidirect
94. C4⋊C4×Dic13C22semidirect
95. C4⋊C4×Dic13C22semidirect
96. C4⋊C4×Dic13C22semidirect
97. #11718633C22semidirect
113. #11718613C22semidirect
114. #11718613C22semidirect
115. #11718612C22semidirect
116. #11718612C22semidirect
117. #11718609C22semidirect
118. #11718608C22semidirect
120. #11718607C22semidirect
121. #11718606C22semidirect
122. #11718606C22semidirect
123. #11718605C22semidirect
124. #11718605C22semidirect
126. #11718603C22semidirect
130. C22⋊C4×Dic13C22semidirect
131. C22⋊C4×Dic13C22semidirect
132. C22⋊C4×Dic13C22semidirect
133. C22⋊C4×Dic13C22semidirect
134. C22⋊C4×Dic13C22semidirect
137. C4×C4⋊Dic13C22semidirect
138. C42×Dic13C22semidirect
163. C13⋊#401C22semidirect
164. #11718321C22semidirect
165. #11718320C22semidirect
166. #11718319C22semidirect
167. #11718319C22semidirect
168. #11718319C22semidirect
169. #11718318C22semidirect
170. #11718318C22semidirect
171. #11718316C22semidirect
172. #11718315C22semidirect
173. #11718314C22semidirect
174. #11718314C22semidirect
175. #11718314C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718312C22semidirect
179. #11718311C22semidirect
180. #11718310C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718309C22semidirect
184. #11718308C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
576. #2444D13semidirect
768. #400C2×D13semidirect
779. #397C2×D13semidirect
780. #397C2×D13semidirect
790. #394C2×D13semidirect
816. #388C2×D13semidirect
825. #387C2×D13semidirect
838. #386C2×D13semidirect
852. #381C2×D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203802
#131203532
#131202882
#131202612
#131201632
#131201362
#131199662
#131199392
#131193942
#131193372
#131190892
#131189642
#131186662
#131183782
#131182922
#131181352
#131181212
#131180942
#131180792
#131173862
#131173772
#131173682
#131173532
#121×Dic132
#131173462
#131173412
#131172762
C4×D4×Dic132
C2×#117183272
C13×#24442
#3495913