Finite Group Databasebeta

← D13×#2601 #16033567

Subgroups — D13×#2601 #16033567

Order 3328.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#126C211yesmaximal, characteristic, complemented
2C2×D13×#117C211yesmaximal, characteristic, complemented
3#13120440C211yesmaximal, characteristic, complemented
4#13120439C211yesmaximal, characteristic, complemented
5#13120438C211yesmaximal, characteristic, complemented
6#13120437C211yesmaximal, characteristic, complemented
7#13120436C211yesmaximal, characteristic, complemented
8#13120435C211yesmaximal, characteristic, complemented
9#13120434C211yesmaximal, characteristic, complemented
10#13120433C211yesmaximal, characteristic, complemented
11#13120432C211yesmaximal, characteristic, complemented
12#13120431C211yesmaximal, characteristic, complemented
13#13120430C211yesmaximal, characteristic, complemented
14#13120429C211yesmaximal, characteristic, complemented
15#13120428C211yesmaximal, characteristic, complemented
16#13120427C211yesmaximal, characteristic, complemented
17#13120426C211yesmaximal, characteristic, complemented
18D13×#398C211yesmaximal, characteristic, complemented
19D13×#396C211yesmaximal, characteristic, complemented
20D13×#396C211yesmaximal, characteristic, complemented
21D13×#394C211yesmaximal, characteristic
22D13×#390C211yesmaximal, characteristic
23D13×#389C211yesmaximal, characteristic, complemented
24D13×#388C211yesmaximal, characteristic, complemented
25D13×#388C211yesmaximal, characteristic, complemented
26D13×#388C211yesmaximal, characteristic, complemented
27D13×#387C211yesmaximal, characteristic, complemented
28D13×#386C211yesmaximal, characteristic
29D13×#385C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D13C211yesmaximal, characteristic, complemented
31C13×#2601C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic, complemented
35C2×C13×#117C2211yescharacteristic, complemented
36C2×#88180C2211yescharacteristic, complemented
37D13×#126—28no—
38D13×#117—28no—
39C2×#88152C2211yescharacteristic, complemented
40C2×#88152C2211yescharacteristic, complemented
41C2×#88152C2211yescharacteristic, complemented
42C2×#88146C2211yescharacteristic, complemented
43C2×#88146C2211yescharacteristic, complemented
44C2×C4⋊C4×D13C2211yescharacteristic
45C2×C4⋊C4×D13C2211yescharacteristic
46C2×C4⋊C4×D13C2211yescharacteristic
47C2×C4⋊C4×D13C2211yescharacteristic
48C2×C4⋊C4×D13C2211yescharacteristic
49C2×C4⋊C4×D13C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×C22⋊C4×D13C2211yescharacteristic
55C2×C22⋊C4×D13C2211yescharacteristic
56C2×C22⋊C4×D13C2211yescharacteristic
57C2×C22⋊C4×D13C2211yescharacteristic
58C2×C22⋊C4×D13C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×#88133C2211yescharacteristic, complemented
66C2×#88133C2211yescharacteristic, complemented
67C2×#88133C2211yescharacteristic, complemented
68C2×#88131C2211yescharacteristic, complemented
69C2×#88131C2211yescharacteristic, complemented
70C2×#88130C2211yescharacteristic, complemented
71C2×#88126C2211yescharacteristic, complemented
72C2×#88126C2211yescharacteristic, complemented
73C2×C42×D13C2211yescharacteristic
74C2×C42×D13C2211yescharacteristic
75C2×C42×D13C2211yescharacteristic
76C2×C42×D13C2211yescharacteristic
77C13×#398C2211yescharacteristic, complemented
78C13×#396C2211yescharacteristic, complemented
79C13×#396C2211yescharacteristic, complemented
80C13×#394C2211yescharacteristic
81C13×#390C2211yescharacteristic
82C13×#389C2211yescharacteristic, complemented
83C13×#388C2211yescharacteristic, complemented
84C13×#388C2211yescharacteristic, complemented
85C13×#388C2211yescharacteristic, complemented
86C13×#387C2211yescharacteristic, complemented
87C13×#386C2211yescharacteristic
88C13×#385C2211yescharacteristic, complemented
89C4×C13×C4⋊C4C2211yescharacteristic, complemented
90#11718883C2211yescharacteristic
91#11718882C2211yescharacteristic
92#11718881C2211yescharacteristic
93#11718874C2211yescharacteristic
94#11718871C2211yescharacteristic, complemented
95#11718655C2211yescharacteristic, complemented
96#11718655C2211yescharacteristic, complemented
97#11718655C2211yescharacteristic, complemented
98#11718655C2211yescharacteristic, complemented
99#11718655C2211yescharacteristic, complemented
100#11718655C2211yescharacteristic, complemented
101#11718652C2211yescharacteristic
102#11718651C2211yescharacteristic, complemented
103#11718651C2211yescharacteristic, complemented
104#11718651C2211yescharacteristic, complemented
105#11718650C2211yescharacteristic, complemented
106#11718650C2211yescharacteristic, complemented
107#11718649C2211yescharacteristic
108#11718646C2211yescharacteristic, complemented
109#11718645C2211yescharacteristic, complemented
110#11718645C2211yescharacteristic, complemented
111#11718644C2211yescharacteristic, complemented
112#11718642C2211yescharacteristic, complemented
113#11718641C2211yescharacteristic, complemented
114#11718639C2211yescharacteristic, complemented
115C4⋊C4×Dic13C2211yescharacteristic, complemented
116C4⋊C4×Dic13C2211yescharacteristic, complemented
117#11718634C2211yescharacteristic, complemented
118#11718633C2211yescharacteristic, complemented
119#11718633C2211yescharacteristic, complemented
120#11718622C2211yescharacteristic
121#11718622C2211yescharacteristic
122#11718620C2211yescharacteristic
123#11718620C2211yescharacteristic
124#11718619C2211yescharacteristic
125#11718618C2211yescharacteristic
126#11718618C2211yescharacteristic
127#11718618C2211yescharacteristic
128#11718618C2211yescharacteristic
129#11718617C2211yescharacteristic
130#11718617C2211yescharacteristic
131#11718612C2211yescharacteristic, complemented
132#11718612C2211yescharacteristic, complemented
133#11718612C2211yescharacteristic, complemented
134#11718611C2211yescharacteristic, complemented
135#11718609C2211yescharacteristic, complemented
136#11718609C2211yescharacteristic, complemented
137#11718609C2211yescharacteristic, complemented
138#11718609C2211yescharacteristic, complemented
139#11718609C2211yescharacteristic, complemented
140#11718609C2211yescharacteristic, complemented
141#11718607C2211yescharacteristic, complemented
142#11718606C2211yescharacteristic, complemented
143#11718606C2211yescharacteristic, complemented
144#11718606C2211yescharacteristic, complemented
145#11718605C2211yescharacteristic, complemented
146#11718605C2211yescharacteristic, complemented
147#11718605C2211yescharacteristic, complemented
148#11718601C2211yescharacteristic, complemented
149#11718601C2211yescharacteristic, complemented
150#11718601C2211yescharacteristic, complemented
151#11718600C2211yescharacteristic
152C4×C4⋊Dic13C2211yescharacteristic, complemented
153#11718594C2211yescharacteristic, complemented
154C4×#6101C2211yescharacteristic, complemented
155C4×#6101C2211yescharacteristic, complemented
156#11718589C2211yescharacteristic, complemented
157#11718337C2211yescharacteristic, complemented
158#11718337C2211yescharacteristic, complemented
159#11718333C2211yescharacteristic
160#11718331C2211yescharacteristic, complemented
161#11718331C2211yescharacteristic, complemented
162#11718331C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic, complemented
164#11718330C2211yescharacteristic, complemented
165#11718330C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic
169#11718326C2211yescharacteristic
170D13×#95C2211yescharacteristic
171D13×#95C2211yescharacteristic
172D13×#95C2211yescharacteristic
173D13×#95C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176D13×#95C2211yescharacteristic
177D13×#95C2211yescharacteristic
178#11718322C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718315C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718313C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718310C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188#11718308C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C2×D4×D13—24no—
197C2×D4×D13—24no—
198C2×D4×D13—42no—
199C22×D52C2311yescharacteristic
200C22×C4×D13—24no—
201C22×C4×D13—24no—
202C22×C4×D13—24no—
203C22×C4×D13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×C4×D13C2311yescharacteristic
216C22×C4×D13C2311yescharacteristic
217C22×C4×D13C2311yescharacteristic
218C13×#126—24no—
219C13×#117—24no—
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C42×C13C2311yescharacteristic
243C2×C42×C13C2311yescharacteristic
244C2×C42×C13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
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×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278#88180—24no—
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321#88152—24no—
322#88152—24no—
323#88152—24no—
324#88146—24no—
325#88146—24no—
326C4⋊C4×D13—24no—
327C4⋊C4×D13—24no—
328C4⋊C4×D13—24no—
329C4⋊C4×D13—24no—
330C4⋊C4×D13—24no—
331C4⋊C4×D13—24no—
332C4⋊C4×D13—24no—
333C4⋊C4×D13—24no—
334C4⋊C4×D13—24no—
335C4⋊C4×D13—42no—
336C22⋊C4×D13—24no—
337C22⋊C4×D13—24no—
338C22⋊C4×D13—24no—
339C22⋊C4×D13—24no—
340C22⋊C4×D13—24no—
341C22⋊C4×D13—24no—
342C22⋊C4×D13—24no—
343C22⋊C4×D13—24no—
344C22⋊C4×D13—24no—
345C22⋊C4×D13—42no—
346C22⋊C4×D13—42no—
347#88133—24no—
348#88133—24no—
349#88133—24no—
350#88131—24no—
351#88131—24no—
352#88130—24no—
353#88126—24no—
354#88126—24no—
355C42×D13—24no—
356C42×D13—42no—
357C42×D13—42no—
358C42×D13D418yescomplemented
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
391C2×#2601—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—22no—
404C23×D13—22no—
405C23×D13—22no—
406C23×D13—22no—
407C23×D13#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—41no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—22no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13C2411yescharacteristic
440C22×Dic13C2411yescharacteristic
441C22×Dic13C2411yescharacteristic
442C22×Dic13C2411yescharacteristic
443C22×Dic13C2411yescharacteristic
444C22×Dic13C2411yescharacteristic
445C22×Dic13C2411yescharacteristic
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452D4×D13—416no—
453C2×D52—22no—
454C2×D52—22no—
455C2×D52—41no—
456C2×C4×D13—232no—
457C2×C4×D13—22no—
458C2×C4×D13—22no—
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—22no—
468C2×C4×D13—22no—
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×C4×D13—22no—
473C2×C4×D13—22no—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13C2×D414yes—
497C2×C4×D13C2×D414yes—
498C2×C4×D13C2×D414yes—
499C2×C4×D13#4114yes—
500C2×C4×D13#4114yes—
501C2×C4×D13#4114yes—
502C13×C4⋊C4—22no—
503C13×C4⋊C4—22no—
504C13×C4⋊C4—22no—
505C13×C4⋊C4—22no—
506C13×C4⋊C4—22no—
507C13×C4⋊C4—22no—
508C13×C4⋊C4—22no—
509C13×C4⋊C4—22no—
510C13×C4⋊C4—22no—
511C13×C4⋊C4—41no—
512C13×C22⋊C4—22no—
513C13×C22⋊C4—22no—
514C13×C22⋊C4—22no—
515C13×C22⋊C4—22no—
516C13×C22⋊C4—22no—
517C13×C22⋊C4—22no—
518C13×C22⋊C4—22no—
519C13×C22⋊C4—22no—
520C13×C22⋊C4—22no—
521C13×C22⋊C4—41no—
522C13×C22⋊C4—41no—
523C42×C13—22no—
524C42×C13—41no—
525C42×C13—41no—
526C42×C13C2×D414yescomplemented
527C22⋊Dic13—22no—
528C22⋊Dic13—22no—
529C22⋊Dic13—22no—
530C22⋊Dic13—22no—
531C22⋊Dic13—22no—
532C22⋊Dic13—22no—
533C22⋊Dic13—22no—
534C22⋊Dic13—22no—
535C22⋊Dic13—22no—
536C22⋊Dic13—41no—
537C22⋊Dic13—41no—
538#6103—22no—
539#6103—22no—
540#6103—22no—
541#6103—22no—
542#6103—22no—
543#6103—22no—
544#6103—22no—
545#6103—22no—
546#6103—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—41no—
557#6103—41no—
558#6103—41no—
559#6103—41no—
560C4⋊Dic13—22no—
561C4⋊Dic13—22no—
562C4⋊Dic13—22no—
563C4⋊Dic13—22no—
564C4⋊Dic13—22no—
565C4⋊Dic13—22no—
566C4⋊Dic13—22no—
567C4⋊Dic13—22no—
568C4⋊Dic13—22no—
569C4⋊Dic13—41no—
570#6101—22no—
571#6101—22no—
572#6101—22no—
573#6101—22no—
574#6101—22no—
575#6101—22no—
576#6101—22no—
577#6101—22no—
578#6101—22no—
579#6101—22no—
580#6101—22no—
581#6101—22no—
582#6101—22no—
583#6101—22no—
584#6101—22no—
585#6101—22no—
586#6101—22no—
587#6101—22no—
588#6101—41no—
589#6101—41no—
590C4×Dic13—22no—
591C4×Dic13—22no—
592C4×Dic13—22no—
593C4×Dic13—41no—
594C4×Dic13—41no—
595C4×Dic13—41no—
596C4×Dic13—41no—
597C4×Dic13—41no—
598C4×Dic13—41no—
599C4×Dic13C2×D414yescomplemented
600C4×Dic13C2×D414yescomplemented
601C4×Dic13C2×D414yescomplemented
602C22×#126—131no—
603C22×#117—131no—
604#2601—131no—
605#2601—131no—
606#2601—131no—
607#2601—131no—
608#2601—131no—
609#2601—131no—
610#2601—131no—
611#2601—131no—
612#2601—131no—
613#2601—131no—
614#2601—131no—
615#2601—131no—
616#2601—131no—
617#2601—131no—
618#2601—131no—
619#2601D1311yescharacteristic, direct product factor
620C2×#398—131no—
621C2×#396—131no—
622C2×#396—131no—
623C2×#394—131no—
624C2×#390—131no—
625C2×#389—131no—
626C2×#388—131no—
627C2×#388—131no—
628C2×#388—131no—
629C2×#387—131no—
630C2×#386—131no—
631C2×#385—131no—
632C2×C4×C4⋊C4—131no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13C2×#4112yes—
647C23×C13C2511yescharacteristic
648C22×D13—21no—
649C22×D13—21no—
650C22×D13—21no—
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—28no—
655C22×D13—28no—
656C22×D13—28no—
657C22×D13—21no—
658C22×D13—21no—
659C22×D13—21no—
660C22×D13—21no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—44no—
665C22×D13—44no—
666C22×D13—44no—
667C22×D13—44no—
668C22×D13—44no—
669C22×D13—44no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13—44no—
673C22×D13—44no—
674C22×D13—44no—
675C22×D13C22×D412yes—
676C22×D13C2×#4112yes—
677C22×D13C2×#4112yes—
678C22×D13C2×#4112yes—
679C22×D13C2×#4112yes—
680C22×D13C2×#4112yes—
681C22×D13H(5,𝔽2)12yes—
682C22×D132−1+412yes—
683D4×C13—44no—
684C2×C4×C13—28no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
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×C13C22×D412yes—
719C2×C4×C13C22×D412yes—
720C2×C4×C13C22×D412yes—
721C2×C4×C13C2×#4112yes—
722C2×C4×C13C2×#4112yes—
723C2×C4×C13C2×#4112yes—
724C22⋊D13—44no—
725C22⋊D13—44no—
726C2×Dic13—28no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
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×Dic13C22×D412yes—
761C2×Dic13C22×D412yes—
762C2×Dic13C22×D412yes—
763C2×Dic13C2×#4112yes—
764C2×Dic13C2×#4112yes—
765C2×Dic13C2×#4112yes—
766D52—44no—
767C4×D13—28no—
768C4×D13—28no—
769C4×D13—28no—
770C4×D13—28no—
771C4×D13—28no—
772C4×D13—28no—
773C4×D13—28no—
774C4×D13—28no—
775C4×D13—44no—
776C4×D13—44no—
777C4×D13—44no—
778C4×D13—44no—
779C4×D13—44no—
780C4×D13—44no—
781C4×D13—44no—
782C23×D4—131no—
783C24×C4—131no—
784C2×#126—131no—
785C2×#126—131no—
786C2×#126—131no—
787C2×#126—131no—
788C2×#126—131no—
789C2×#126—131no—
790C2×#126—131no—
791C2×#126—268no—
792C2×#126C2×D1311yescharacteristic, complemented
793C2×#117—131no—
794C2×#117—131no—
795C2×#117—131no—
796C2×#117—131no—
797C2×#117—131no—
798C2×#117—131no—
799C2×#117—131no—
800C2×#117—268no—
801C2×#117C2×D1311yescharacteristic, complemented
802C22×C4⋊C4—131no—
803C22×C4⋊C4—131no—
804C22×C4⋊C4—131no—
805C22×C4⋊C4—131no—
806C22×C4⋊C4—131no—
807C22×C4⋊C4—131no—
808C22×C4⋊C4—131no—
809C22×C4⋊C4—131no—
810C22×C4⋊C4—131no—
811C22×C4⋊C4—131no—
812C22×C22⋊C4—131no—
813C22×C22⋊C4—131no—
814C22×C22⋊C4—131no—
815C22×C22⋊C4—131no—
816C22×C22⋊C4—131no—
817C22×C22⋊C4—131no—
818C22×C22⋊C4—131no—
819C22×C22⋊C4—131no—
820C22×C22⋊C4—131no—
821C22×C22⋊C4—131no—
822C22×C22⋊C4—131no—
823C22×C42—131no—
824C22×C42—131no—
825C22×C42—131no—
826C22×C42—131no—
827#398—131no—
828#398—131no—
829#398—131no—
830#398—131no—
831#398—131no—
832#398—131no—
833#398—131no—
834#398C2×D1311yescharacteristic, complemented
835#396—131no—
836#396—131no—
837#396—131no—
838#396—131no—
839#396—131no—
840#396—131no—
841#396—131no—
842#396—131no—
843#396—131no—
844#396—131no—
845#396—131no—
846#396—131no—
847#396—131no—
848#396—131no—
849#396C2×D1311yescharacteristic, complemented
850#396C2×D1311yescharacteristic, complemented
851#394—131no—
852#394—131no—
853#394—131no—
854#394—131no—
855#394—131no—
856#394—131no—
857#394—131no—
858#394C2×D1311yescharacteristic
859#390—131no—
860#390—131no—
861#390—131no—
862#390—131no—
863#390—131no—
864#390—131no—
865#390—131no—
866#390C2×D1311yescharacteristic
867#389—131no—
868#389—131no—
869#389—131no—
870#389—131no—
871#389—131no—
872#389—131no—
873#389—131no—
874#389C2×D1311yescharacteristic, complemented
875#388—131no—
876#388—131no—
877#388—131no—
878#388—131no—
879#388—131no—
880#388—131no—
881#388—131no—
882#388—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#388—131no—
892#388—131no—
893#388—131no—
894#388—131no—
895#388—131no—
896#388C2×D1311yescharacteristic, complemented
897#388C2×D1311yescharacteristic, complemented
898#388C2×D1311yescharacteristic, complemented
899#387—131no—
900#387—131no—
901#387—131no—
902#387—131no—
903#387—131no—
904#387—131no—
905#387—131no—
906#387C2×D1311yescharacteristic, complemented
907#386—131no—
908#386—131no—
909#386—131no—
910#386—131no—
911#386—131no—
912#386—131no—
913#386—131no—
914#386C2×D1311yescharacteristic
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
923C4×C4⋊C4—131no—
924C4×C4⋊C4—131no—
925C4×C4⋊C4—131no—
926C4×C4⋊C4—131no—
927C4×C4⋊C4—131no—
928C4×C4⋊C4—131no—
929C4×C4⋊C4—131no—
930C4×C4⋊C4C2×D1311yescharacteristic, complemented
931C2×#95—131no—
932C2×#95—131no—
933C2×#95—131no—
934C2×#95—131no—
935C2×#95—131no—
936C2×#95—131no—
937C2×#95—131no—
938C2×#95—131no—
939C22×C13—22no—
940C22×C13—22no—
941C22×C13—22no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—41no—
951C22×C13—41no—
952C22×C13—41no—
953C22×C13C23×D411yescharacteristic
954C22×C13C22×#4111yescharacteristic
955C22×C13C22×#4111yescharacteristic
956C22×C13C22×#4111yescharacteristic
957C22×C13C22×#4111yescharacteristic
958C22×C13C2×H(5,𝔽2)11yescharacteristic
959C22×C13C2×2−1+411yescharacteristic
960C2×D13—22no—
961C2×D13—22no—
962C2×D13—22no—
963C2×D13—41no—
964C2×D13—41no—
965C2×D13—41no—
966C2×D13—41no—
967C2×D13—416no—
968C2×D13—41no—
969C2×D13—41no—
970C2×D13—41no—
971C2×D13—41no—
972C2×D13—41no—
973C2×D13—41no—
974C2×D13—41no—
975C2×D13—88no—
976C2×D13#52514yes—
977C2×D13#53214yes—
978C2×D13#53714yes—
979C2×D13#55114yes—
980C2×D13#55214yes—
981C2×D13#55314yes—
982C2×D13#55614yes—
983C4×C13—22no—
984C4×C13—22no—
985C4×C13—22no—
986C4×C13—22no—
987C4×C13—22no—
988C4×C13—22no—
989C4×C13—41no—
990C4×C13—41no—
991C4×C13—41no—
992C4×C13—41no—
993C4×C13—41no—
994C4×C13—41no—
995C4×C13—41no—
996Dic13—22no—
997Dic13—22no—
998Dic13—22no—
999Dic13—22no—
1000Dic13—22no—
1001Dic13—22no—
1002Dic13—41no—
1003Dic13—41no—
1004Dic13—41no—
1005Dic13—41no—
1006Dic13—41no—
1007Dic13—41no—
1008Dic13—41no—
1009C25—131no—
1010C25—131no—
1011C22×D4—131no—
1012C22×D4—131no—
1013C22×D4—131no—
1014C22×D4—264no—
1015C22×D4—264no—
1016C22×D4—522no—
1017C22×D4C22×D1311yescharacteristic
1018C23×C4—131no—
1019C23×C4—131no—
1020C23×C4—131no—
1021C23×C4—131no—
1022C23×C4—131no—
1023C23×C4—131no—
1024C23×C4—131no—
1025C23×C4—131no—
1026C23×C4—131no—
1027C23×C4—131no—
1028C23×C4—131no—
1029C23×C4—131no—
1030C23×C4—131no—
1031C23×C4—131no—
1032C23×C4—131no—
1033C23×C4—131no—
1034C23×C4—264no—
1035C23×C4—264no—
1036C23×C4—264no—
1037C23×C4C22×D1311yescharacteristic
1038#126—24no—
1039#126—264no—
1040#126—264no—
1041#126—264no—
1042#126—264no—
1043#126—264no—
1044#126—264no—
1045#126—264no—
1046#117—24no—
1047#117—264no—
1048#117—264no—
1049#117—264no—
1050#117—264no—
1051#117—264no—
1052#117—264no—
1053#117—264no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—131no—
1057C2×C4⋊C4—131no—
1058C2×C4⋊C4—131no—
1059C2×C4⋊C4—131no—
1060C2×C4⋊C4—131no—
1061C2×C4⋊C4—131no—
1062C2×C4⋊C4—131no—
1063C2×C4⋊C4—131no—
1064C2×C4⋊C4—131no—
1065C2×C4⋊C4—131no—
1066C2×C4⋊C4—131no—
1067C2×C4⋊C4—131no—
1068C2×C4⋊C4—131no—
1069C2×C4⋊C4—131no—
1070C2×C4⋊C4—131no—
1071C2×C4⋊C4—131no—
1072C2×C4⋊C4—131no—
1073C2×C4⋊C4—131no—
1074C2×C4⋊C4—131no—
1075C2×C4⋊C4—131no—
1076C2×C4⋊C4—131no—
1077C2×C4⋊C4—131no—
1078C2×C4⋊C4—131no—
1079C2×C4⋊C4—131no—
1080C2×C4⋊C4—131no—
1081C2×C4⋊C4—131no—
1082C2×C4⋊C4—131no—
1083C2×C4⋊C4—131no—
1084C2×C4⋊C4—264no—
1085C2×C4⋊C4—264no—
1086C2×C4⋊C4—264no—
1087C2×C4⋊C4—264no—
1088C2×C4⋊C4—264no—
1089C2×C4⋊C4—264no—
1090C2×C4⋊C4—264no—
1091C2×C4⋊C4—264no—
1092C2×C4⋊C4—264no—
1093C2×C4⋊C4—522no—
1094C2×C4⋊C4C22×D1311yescharacteristic
1095C2×C4⋊C4C22×D1311yescharacteristic
1096C2×C4⋊C4C22×D1311yescharacteristic
1097C2×C4⋊C4C22×D1311yescharacteristic
1098C2×C4⋊C4C22×D1311yescharacteristic
1099C2×C4⋊C4C22×D1311yescharacteristic
1100C2×C4⋊C4C22×D1311yescharacteristic
1101C2×C4⋊C4C22×D1311yescharacteristic
1102C2×C4⋊C4C22×D1311yescharacteristic
1103C2×C4⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4—131no—
1105C2×C22⋊C4—131no—
1106C2×C22⋊C4—131no—
1107C2×C22⋊C4—131no—
1108C2×C22⋊C4—131no—
1109C2×C22⋊C4—131no—
1110C2×C22⋊C4—131no—
1111C2×C22⋊C4—131no—
1112C2×C22⋊C4—131no—
1113C2×C22⋊C4—131no—
1114C2×C22⋊C4—131no—
1115C2×C22⋊C4—131no—
1116C2×C22⋊C4—131no—
1117C2×C22⋊C4—131no—
1118C2×C22⋊C4—131no—
1119C2×C22⋊C4—131no—
1120C2×C22⋊C4—131no—
1121C2×C22⋊C4—131no—
1122C2×C22⋊C4—131no—
1123C2×C22⋊C4—131no—
1124C2×C22⋊C4—131no—
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—264no—
1138C2×C22⋊C4—264no—
1139C2×C22⋊C4—264no—
1140C2×C22⋊C4—264no—
1141C2×C22⋊C4—264no—
1142C2×C22⋊C4—264no—
1143C2×C22⋊C4—264no—
1144C2×C22⋊C4—264no—
1145C2×C22⋊C4—264no—
1146C2×C22⋊C4—522no—
1147C2×C22⋊C4—522no—
1148C2×C22⋊C4C22×D1311yescharacteristic
1149C2×C22⋊C4C22×D1311yescharacteristic
1150C2×C22⋊C4C22×D1311yescharacteristic
1151C2×C22⋊C4C22×D1311yescharacteristic
1152C2×C22⋊C4C22×D1311yescharacteristic
1153C2×C22⋊C4C22×D1311yescharacteristic
1154C2×C22⋊C4C22×D1311yescharacteristic
1155C2×C22⋊C4C22×D1311yescharacteristic
1156C2×C22⋊C4C22×D1311yescharacteristic
1157C2×C22⋊C4C22×D1311yescharacteristic
1158C2×C22⋊C4C22×D1311yescharacteristic
1159C2×C42—131no—
1160C2×C42—131no—
1161C2×C42—131no—
1162C2×C42—138no—
1163C2×C42—131no—
1164C2×C42—131no—
1165C2×C42—131no—
1166C2×C42—131no—
1167C2×C42—131no—
1168C2×C42—131no—
1169C2×C42—131no—
1170C2×C42—131no—
1171C2×C42—131no—
1172C2×C42—264no—
1173C2×C42—522no—
1174C2×C42—522no—
1175C2×C42C22×D1311yescharacteristic
1176C2×C42C22×D1311yescharacteristic
1177C2×C42C22×D1311yescharacteristic
1178C2×C42C22×D1311yescharacteristic
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95—131no—
1183#95—131no—
1184#95—131no—
1185#95—131no—
1186#95—131no—
1187#95—131no—
1188#95—131no—
1189#95—131no—
1190#95—131no—
1191#95—131no—
1192#95—131no—
1193#95—131no—
1194#95—131no—
1195#95—131no—
1196#95—131no—
1197#95—131no—
1198#95—131no—
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
1203#95C22×D1311yescharacteristic
1204#95C22×D1311yescharacteristic
1205#95C22×D1311yescharacteristic
1206#95C22×D1311yescharacteristic
1207#95C22×D1311yescharacteristic
1208#95C22×D1311yescharacteristic
1209#95C22×D1311yescharacteristic
1210#95C22×D1311yescharacteristic
1211C2×C13—42no—
1212C2×C13—81no—
1213C2×C13C2×#52511yescharacteristic
1214C2×C13C2×#53211yescharacteristic
1215C2×C13C2×#53711yescharacteristic
1216C2×C13C2×#55111yescharacteristic
1217C2×C13C2×#55211yescharacteristic
1218C2×C13C2×#55311yescharacteristic
1219C2×C13C2×#55611yescharacteristic
1220D13—42no—
1221D13—81no—
1222D13#260118yesdirect product factor
1223C24—131no—
1224C24—134no—
1225C24—131no—
1226C24—131no—
1227C24—262no—
1228C24—262no—
1229C24—262no—
1230C24—262no—
1231C24—262no—
1232C24—262no—
1233C24—262no—
1234C24—262no—
1235C24—262no—
1236C24—262no—
1237C24—262no—
1238C24—262no—
1239C24—262no—
1240C24C23×D1311yescharacteristic
1241C24C23×D1311yescharacteristic
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—262no—
1246C2×D4—262no—
1247C2×D4—262no—
1248C2×D4—262no—
1249C2×D4—262no—
1250C2×D4—262no—
1251C2×D4—521no—
1252C2×D4—5216no—
1253C2×D4—521no—
1254C2×D4—521no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—131no—
1259C22×C4—131no—
1260C22×C4—131no—
1261C22×C4—131no—
1262C22×C4—131no—
1263C22×C4—131no—
1264C22×C4—134no—
1265C22×C4—134no—
1266C22×C4—134no—
1267C22×C4—134no—
1268C22×C4—134no—
1269C22×C4—134no—
1270C22×C4—131no—
1271C22×C4—131no—
1272C22×C4—131no—
1273C22×C4—131no—
1274C22×C4—131no—
1275C22×C4—131no—
1276C22×C4—131no—
1277C22×C4—262no—
1278C22×C4—262no—
1279C22×C4—262no—
1280C22×C4—262no—
1281C22×C4—262no—
1282C22×C4—262no—
1283C22×C4—262no—
1284C22×C4—262no—
1285C22×C4—262no—
1286C22×C4—262no—
1287C22×C4—262no—
1288C22×C4—262no—
1289C22×C4—262no—
1290C22×C4—262no—
1291C22×C4—262no—
1292C22×C4—262no—
1293C22×C4—2632no—
1294C22×C4—262no—
1295C22×C4—262no—
1296C22×C4—262no—
1297C22×C4—262no—
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×C4C23×D1311yescharacteristic
1321C22×C4C23×D1311yescharacteristic
1322C22×C4C23×D1311yescharacteristic
1323C22×C4C23×D1311yescharacteristic
1324C22×C4C23×D1311yescharacteristic
1325C22×C4C23×D1311yescharacteristic
1326C22×C4C23×D1311yescharacteristic
1327C22×C4C23×D1311yescharacteristic
1328C22×C4C23×D1311yescharacteristic
1329C22×C4C23×D1311yescharacteristic
1330C22×C4C23×D1311yescharacteristic
1331C22×C4C23×D1311yescharacteristic
1332C22×C4C23×D1311yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—262no—
1344C4⋊C4—262no—
1345C4⋊C4—262no—
1346C4⋊C4—262no—
1347C4⋊C4—262no—
1348C4⋊C4—262no—
1349C4⋊C4—262no—
1350C4⋊C4—262no—
1351C4⋊C4—262no—
1352C4⋊C4—262no—
1353C4⋊C4—262no—
1354C4⋊C4—262no—
1355C4⋊C4—262no—
1356C4⋊C4—262no—
1357C4⋊C4—262no—
1358C4⋊C4—262no—
1359C4⋊C4—262no—
1360C4⋊C4—262no—
1361C4⋊C4—262no—
1362C4⋊C4—262no—
1363C4⋊C4—262no—
1364C4⋊C4—262no—
1365C4⋊C4—262no—
1366C4⋊C4—262no—
1367C4⋊C4—262no—
1368C4⋊C4—262no—
1369C4⋊C4—262no—
1370C4⋊C4—521no—
1371C4⋊C4—521no—
1372C4⋊C4—521no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—262no—
1385C22⋊C4—262no—
1386C22⋊C4—262no—
1387C22⋊C4—262no—
1388C22⋊C4—262no—
1389C22⋊C4—262no—
1390C22⋊C4—262no—
1391C22⋊C4—262no—
1392C22⋊C4—262no—
1393C22⋊C4—262no—
1394C22⋊C4—262no—
1395C22⋊C4—262no—
1396C22⋊C4—262no—
1397C22⋊C4—262no—
1398C22⋊C4—262no—
1399C22⋊C4—262no—
1400C22⋊C4—262no—
1401C22⋊C4—262no—
1402C22⋊C4—262no—
1403C22⋊C4—262no—
1404C22⋊C4—262no—
1405C22⋊C4—262no—
1406C22⋊C4—262no—
1407C22⋊C4—262no—
1408C22⋊C4—262no—
1409C22⋊C4—262no—
1410C22⋊C4—262no—
1411C22⋊C4—521no—
1412C22⋊C4—521no—
1413C22⋊C4—521no—
1414C22⋊C4—521no—
1415C22⋊C4—521no—
1416C22⋊C4—521no—
1417C42—22no—
1418C42—41no—
1419C42—41no—
1420C42—134no—
1421C42—134no—
1422C42—134no—
1423C42—262no—
1424C42—262no—
1425C42—262no—
1426C42—521no—
1427C42—521no—
1428C42—521no—
1429C42—521no—
1430C42—521no—
1431C42—521no—
1432C42D4×D1314yescomplemented
1433C13C2×#260111yescharacteristic, complemented, Sylow
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—132no—
1448C23—132no—
1449C23—132no—
1450C23—132no—
1451C23—132no—
1452C23—132no—
1453C23—132no—
1454C23—132no—
1455C23—268no—
1456C23—268no—
1457C23—268no—
1458C23—261no—
1459C23—261no—
1460C23—261no—
1461C23—261no—
1462C23—261no—
1463C23—261no—
1464C23—261no—
1465C23—261no—
1466C23—261no—
1467C23—261no—
1468C23—261no—
1469C23—261no—
1470C23—261no—
1471C23—524no—
1472C23—524no—
1473C23—524no—
1474C23—524no—
1475C23—524no—
1476C23—524no—
1477C23—524no—
1478C23—524no—
1479C23—524no—
1480C23—524no—
1481C23—524no—
1482C23#41×D1312yes—
1483C23C24×D1311yescharacteristic
1484D4—44no—
1485D4—524no—
1486D4—524no—
1487D4—524no—
1488C2×C4—28no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—132no—
1523C2×C4—132no—
1524C2×C4—132no—
1525C2×C4—132no—
1526C2×C4—132no—
1527C2×C4—132no—
1528C2×C4—268no—
1529C2×C4—268no—
1530C2×C4—268no—
1531C2×C4—268no—
1532C2×C4—268no—
1533C2×C4—268no—
1534C2×C4—268no—
1535C2×C4—268no—
1536C2×C4—268no—
1537C2×C4—261no—
1538C2×C4—261no—
1539C2×C4—261no—
1540C2×C4—261no—
1541C2×C4—261no—
1542C2×C4—261no—
1543C2×C4—261no—
1544C2×C4—261no—
1545C2×C4—261no—
1546C2×C4—261no—
1547C2×C4—261no—
1548C2×C4—261no—
1549C2×C4—261no—
1550C2×C4—261no—
1551C2×C4—261no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—524no—
1571C2×C4—524no—
1572C2×C4—524no—
1573C2×C4—524no—
1574C2×C4—524no—
1575C2×C4—524no—
1576C2×C4—524no—
1577C2×C4C2×D4×D1312yes—
1578C2×C4C2×D4×D1312yes—
1579C2×C4C2×D4×D1312yes—
1580C2×C4#41×D1312yes—
1581C2×C4#41×D1312yes—
1582C2×C4#41×D1312yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—134no—
1598C22—134no—
1599C22—134no—
1600C22—134no—
1601C22—134no—
1602C22—134no—
1603C22—134no—
1604C22—262no—
1605C22—262no—
1606C22—262no—
1607C22—5216no—
1608C22—521no—
1609C22—521no—
1610C22—521no—
1611C22—521no—
1612C22—521no—
1613C22—521no—
1614C22—521no—
1615C22—521no—
1616C22—521no—
1617C22—521no—
1618C22—521no—
1619C22—1048no—
1620C22C22×D4×D1311yescharacteristic
1621C22C2×#41×D1311yescharacteristic
1622C22C2×#41×D1311yescharacteristic
1623C22C2×#41×D1311yescharacteristic
1624C22C2×#41×D1311yescharacteristic
1625C22D13×H(5,𝔽2)11yescharacteristic
1626C22D13×2−1+411yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—262no—
1641C4—262no—
1642C4—262no—
1643C4—262no—
1644C4—262no—
1645C4—262no—
1646C4—521no—
1647C4—521no—
1648C4—521no—
1649C4—521no—
1650C4—521no—
1651C4—521no—
1652C4—521no—
1653C2—42no—
1654C2—81no—
1655C2—138no—
1656C2—522no—
1657C2—1041no—
1658C2D13×#52511yescharacteristic
1659C2D13×#53211yescharacteristic
1660C2D13×#53711yescharacteristic
1661C2D13×#55111yescharacteristic
1662C2D13×#55211yescharacteristic
1663C2D13×#55311yescharacteristic
1664C2D13×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2601C2
prime radicalC22×D4×D13C22
hypercenter#2601D13
hypocenterC13C2×#2601
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×D13×#126C2semidirect
2. C2×D13×#117C2semidirect
3. #13120440C2semidirect
4. #13120439C2semidirect
5. #13120438C2semidirect
6. #13120437C2semidirect
7. #13120436C2semidirect
8. #13120435C2semidirect
9. #13120434C2semidirect
10. #13120433C2semidirect
11. #13120432C2semidirect
12. #13120431C2semidirect
13. #13120430C2semidirect
14. #13120429C2semidirect
15. #13120428C2semidirect
16. #13120427C2semidirect
17. #13120426C2semidirect
18. D13×#398C2semidirect
19. D13×#396C2semidirect
20. D13×#396C2semidirect
23. D13×#389C2semidirect
24. D13×#388C2semidirect
25. D13×#388C2semidirect
26. D13×#388C2semidirect
27. D13×#387C2semidirect
29. D13×#385C2semidirect
30. C4×C4⋊C4×D13C2semidirect
31. C13×#2601C2semidirect
34. C2×C13×#126C22semidirect
35. C2×C13×#117C22semidirect
36. C2×#88180C22semidirect
39. C2×#88152C22semidirect
40. C2×#88152C22semidirect
41. C2×#88152C22semidirect
42. C2×#88146C22semidirect
43. C2×#88146C22semidirect
65. C2×#88133C22semidirect
66. C2×#88133C22semidirect
67. C2×#88133C22semidirect
68. C2×#88131C22semidirect
69. C2×#88131C22semidirect
70. C2×#88130C22semidirect
71. C2×#88126C22semidirect
72. C2×#88126C22semidirect
77. C13×#398C22semidirect
78. C13×#396C22semidirect
79. C13×#396C22semidirect
82. C13×#389C22semidirect
83. C13×#388C22semidirect
84. C13×#388C22semidirect
85. C13×#388C22semidirect
86. C13×#387C22semidirect
88. C13×#385C22semidirect
89. C4×C13×C4⋊C4C22semidirect
94. #11718871C22semidirect
95. #11718655C22semidirect
96. #11718655C22semidirect
97. #11718655C22semidirect
98. #11718655C22semidirect
99. #11718655C22semidirect
100. #11718655C22semidirect
102. #11718651C22semidirect
103. #11718651C22semidirect
104. #11718651C22semidirect
105. #11718650C22semidirect
106. #11718650C22semidirect
108. #11718646C22semidirect
109. #11718645C22semidirect
110. #11718645C22semidirect
111. #11718644C22semidirect
112. #11718642C22semidirect
113. #11718641C22semidirect
114. #11718639C22semidirect
115. C4⋊C4×Dic13C22semidirect
116. C4⋊C4×Dic13C22semidirect
117. #11718634C22semidirect
118. #11718633C22semidirect
119. #11718633C22semidirect
131. #11718612C22semidirect
132. #11718612C22semidirect
133. #11718612C22semidirect
134. #11718611C22semidirect
135. #11718609C22semidirect
136. #11718609C22semidirect
137. #11718609C22semidirect
138. #11718609C22semidirect
139. #11718609C22semidirect
140. #11718609C22semidirect
141. #11718607C22semidirect
142. #11718606C22semidirect
143. #11718606C22semidirect
144. #11718606C22semidirect
145. #11718605C22semidirect
146. #11718605C22semidirect
147. #11718605C22semidirect
148. #11718601C22semidirect
149. #11718601C22semidirect
150. #11718601C22semidirect
152. C4×C4⋊Dic13C22semidirect
153. #11718594C22semidirect
154. C4×#6101C22semidirect
155. C4×#6101C22semidirect
156. #11718589C22semidirect
157. #11718337C22semidirect
158. #11718337C22semidirect
160. #11718331C22semidirect
161. #11718331C22semidirect
162. #11718331C22semidirect
163. #11718330C22semidirect
164. #11718330C22semidirect
165. #11718330C22semidirect
166. #11718329C22semidirect
167. #11718329C22semidirect
178. #11718322C22semidirect
179. #11718318C22semidirect
180. #11718318C22semidirect
181. #11718316C22semidirect
182. #11718315C22semidirect
183. #11718314C22semidirect
184. #11718313C22semidirect
185. #11718310C22semidirect
186. #11718310C22semidirect
187. #11718308C22semidirect
188. #11718308C22semidirect
358. C42×D13D4semidirect
526. C42×C13C2×D4semidirect
599. C4×Dic13C2×D4semidirect
600. C4×Dic13C2×D4semidirect
601. C4×Dic13C2×D4semidirect
619. #2601D13direct (N × H)
792. C2×#126C2×D13semidirect
801. C2×#117C2×D13semidirect
834. #398C2×D13semidirect
849. #396C2×D13semidirect
850. #396C2×D13semidirect
874. #389C2×D13semidirect
896. #388C2×D13semidirect
897. #388C2×D13semidirect
898. #388C2×D13semidirect
906. #387C2×D13semidirect
922. #385C2×D13semidirect
930. C4×C4⋊C4C2×D13semidirect
1222. D13#2601direct (N × H)
1432. C42D4×D13semidirect
1433. C13C2×#2601semidirect

Maximal subgroups

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

subgroupindex
C2×D13×#1262
C2×D13×#1172
#131204402
#131204392
#131204382
#131204372
#131204362
#131204352
#131204342
#131204332
#131204322
#131204312
#131204302
#131204292
#131204282
#131204272
#131204262
D13×#3982
D13×#3962
D13×#3942
D13×#3902
D13×#3892
D13×#3882
D13×#3872
D13×#3862
D13×#3852
C4×C4⋊C4×D132
C13×#26012
C2×#260113