Finite Group Databasebeta

← C13×#34811 #15721150

Subgroups — C13×#34811 #15721150

Order 3328.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2533C211yesmaximal, characteristic, complemented
2C13×#2532C211yesmaximal, characteristic, complemented
3C13×#2531C211yesmaximal, characteristic, complemented
4C13×#2530C211yesmaximal, characteristic, complemented
5C13×#2529C211yesmaximal, characteristic, complemented
6C13×#2528C211yesmaximal, characteristic, complemented
7C13×#2527C211yesmaximal, characteristic, complemented
8C13×#2526C211yesmaximal, characteristic, complemented
9C13×#2510C211yesmaximal, characteristic, complemented
10C13×#2505C211yesmaximal, characteristic, complemented
11C13×#2493C211yesmaximal, characteristic, complemented
12C13×#2488C211yesmaximal, characteristic, complemented
13C13×#2450C211yesmaximal, characteristic, complemented
14C13×#2444C211yesmaximal, characteristic
15C13×#2425C211yesmaximal, characteristic
16C13×#2419C211yesmaximal, characteristic, complemented
17C13×#2402C211yesmaximal, characteristic, complemented
18C13×#2401C211yesmaximal, characteristic, complemented
19C13×#2401C211yesmaximal, characteristic, complemented
20C13×#2398C211yesmaximal, characteristic, complemented
21C4×C13×C22⋊Q8C211yesmaximal, characteristic, complemented
22C4×C13×#123C211yesmaximal, characteristic, complemented
23C4×C13×#123C211yesmaximal, characteristic, complemented
24C4×C13×#121C211yesmaximal, characteristic
25C13×#2298C211yesmaximal, characteristic, complemented
26C13×#2295C211yesmaximal, characteristic, complemented
27C13×#2290C211yesmaximal, characteristic, complemented
28C13×#2290C211yesmaximal, characteristic, complemented
29C13×#2283C211yesmaximal, characteristic, complemented
30C42×D4×C13C211yesmaximal, characteristic, complemented
31C2×C13×#376C211yesmaximal, characteristic, complemented
32C2×C13×#123C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic
34C2×C13×C22⋊Q8C2211yescharacteristic
35C2×C13×#121C2211yescharacteristic
36C2×C4×Q8×C13C2211yescharacteristic
37C2×C4×D4×C13C2211yescharacteristic
38C2×C4×D4×C13C2211yescharacteristic
39C2×C4×D4×C13C2211yescharacteristic
40C2×C4×D4×C13C2211yescharacteristic
41C2×C4×D4×C13C2211yescharacteristic
42C2×C13×#117C2211yescharacteristic
43C22×C42×C13C2211yescharacteristic
44C22×C42×C13C2211yescharacteristic
45C22×C42×C13C2211yescharacteristic
46C22×C42×C13C2211yescharacteristic
47C13×#401C2211yescharacteristic
48C13×#401C2211yescharacteristic
49C13×#400C2211yescharacteristic
50C13×#400C2211yescharacteristic
51C13×#400C2211yescharacteristic
52C13×#400C2211yescharacteristic
53C13×#400C2211yescharacteristic
54C13×#400C2211yescharacteristic
55C13×#400C2211yescharacteristic
56C13×#400C2211yescharacteristic
57C13×#400C2211yescharacteristic
58C13×#400C2211yescharacteristic
59C13×#400C2211yescharacteristic
60C13×#400C2211yescharacteristic
61C13×#398C2211yescharacteristic
62C13×#398C2211yescharacteristic
63C13×#398C2211yescharacteristic
64C13×#398C2211yescharacteristic
65C13×#397C2211yescharacteristic
66C13×#397C2211yescharacteristic
67C13×#397C2211yescharacteristic
68C13×#397C2211yescharacteristic
69C13×#397C2211yescharacteristic
70C13×#397C2211yescharacteristic
71C13×#397C2211yescharacteristic
72C13×#397C2211yescharacteristic
73C13×#396C2211yescharacteristic
74C13×#396C2211yescharacteristic
75C13×#394C2211yescharacteristic
76C13×#394C2211yescharacteristic
77C13×#393C2211yescharacteristic
78C13×#393C2211yescharacteristic
79C13×#391C2211yescharacteristic
80C13×#391C2211yescharacteristic
81C13×#391C2211yescharacteristic
82C13×#390C2211yescharacteristic
83C13×#389C2211yescharacteristic
84C13×#389C2211yescharacteristic
85C13×#389C2211yescharacteristic
86C13×#389C2211yescharacteristic
87C13×#388C2211yescharacteristic
88C13×#388C2211yescharacteristic
89C13×#388C2211yescharacteristic
90C13×#388C2211yescharacteristic
91C13×#388C2211yescharacteristic
92C13×#388C2211yescharacteristic
93C13×#388C2211yescharacteristic
94C13×#388C2211yescharacteristic
95C13×#388C2211yescharacteristic
96C13×#388C2211yescharacteristic
97C13×#388C2211yescharacteristic
98C13×#388C2211yescharacteristic
99C13×#388C2211yescharacteristic
100C13×#388C2211yescharacteristic
101C13×#387C2211yescharacteristic
102C13×#387C2211yescharacteristic
103C13×#387C2211yescharacteristic
104C13×#387C2211yescharacteristic
105C13×#387C2211yescharacteristic
106C13×#387C2211yescharacteristic
107C13×#387C2211yescharacteristic
108C13×#387C2211yescharacteristic
109C13×#387C2211yescharacteristic
110C13×#387C2211yescharacteristic
111C13×#387C2211yescharacteristic
112C13×#387C2211yescharacteristic
113C13×#387C2211yescharacteristic
114C13×#387C2211yescharacteristic
115C13×#387C2211yescharacteristic
116C13×#387C2211yescharacteristic
117C13×#387C2211yescharacteristic
118C13×#387C2211yescharacteristic
119C13×#386C2211yescharacteristic
120C13×#386C2211yescharacteristic
121C13×#386C2211yescharacteristic
122C13×#386C2211yescharacteristic
123C13×#386C2211yescharacteristic
124C13×#386C2211yescharacteristic
125C13×#386C2211yescharacteristic
126C13×#386C2211yescharacteristic
127C13×#385C2211yescharacteristic
128C13×#385C2211yescharacteristic
129C13×#385C2211yescharacteristic
130C13×#385C2211yescharacteristic
131C13×#385C2211yescharacteristic
132C13×#385C2211yescharacteristic
133C13×#385C2211yescharacteristic
134C13×#385C2211yescharacteristic
135C13×#383C2211yescharacteristic
136C13×#383C2211yescharacteristic
137C13×#382C2211yescharacteristic
138C13×#382C2211yescharacteristic
139C13×#381C2211yescharacteristic
140C13×#381C2211yescharacteristic
141C13×#381C2211yescharacteristic
142C13×#381C2211yescharacteristic
143C13×#380C2211yescharacteristic
144C13×#380C2211yescharacteristic
145C13×#380C2211yescharacteristic
146C13×#380C2211yescharacteristic
147C4×C13×C4⋊C4C2211yescharacteristic
148C4×C13×C4⋊C4C2211yescharacteristic
149C4×C13×C4⋊C4C2211yescharacteristic
150C4×C13×C4⋊C4C2211yescharacteristic
151C4×C13×C4⋊C4C2211yescharacteristic
152C4×C13×C4⋊C4C2211yescharacteristic
153C4×C13×C4⋊C4C2211yescharacteristic
154C4×C13×C4⋊C4C2211yescharacteristic
155C4×C13×C4⋊C4C2211yescharacteristic
156C4×C13×C4⋊C4C2211yescharacteristic
157C4×C13×C4⋊C4C2211yescharacteristic
158C4×C13×C4⋊C4C2211yescharacteristic
159C4×C13×C22⋊C4C2211yescharacteristic
160C4×C13×C22⋊C4C2211yescharacteristic
161C4×C13×C22⋊C4C2211yescharacteristic
162C4×C13×C22⋊C4C2211yescharacteristic
163C4×C13×C22⋊C4C2211yescharacteristic
164C4×C13×C22⋊C4C2211yescharacteristic
165C4×C13×C22⋊C4C2211yescharacteristic
166C4×C13×C22⋊C4C2211yescharacteristic
167C4×C13×C22⋊C4C2211yescharacteristic
168C4×C13×C22⋊C4C2211yescharacteristic
169C4×C13×C22⋊C4C2211yescharacteristic
170C4×C13×C22⋊C4C2211yescharacteristic
171C4×C13×C22⋊C4C2211yescharacteristic
172C4×C13×C22⋊C4C2211yescharacteristic
173C13×#376C2211yescharacteristic
174C13×#376C2211yescharacteristic
175C13×#376C2211yescharacteristic
176C13×#376C2211yescharacteristic
177C13×#376C2211yescharacteristic
178C13×#376C2211yescharacteristic
179C13×#376C2211yescharacteristic
180C13×#376C2211yescharacteristic
181C13×#376C2211yescharacteristic
182C2×C13×#95C2211yescharacteristic
183C2×C13×#95C2211yescharacteristic
184C2×C13×#95C2211yescharacteristic
185C2×C13×#95C2211yescharacteristic
186C43×C13C2211yescharacteristic
187C22×Q8×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C13×#123—24no—
203C13×#123—24no—
204C13×C22⋊Q8—24no—
205C13×#121—24no—
206C4×Q8×C13—24no—
207C4×D4×C13—24no—
208C4×D4×C13—24no—
209C4×D4×C13—24no—
210C4×D4×C13—24no—
211C4×D4×C13—24no—
212C13×#117—24no—
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C13×C22⋊C4C2311yescharacteristic
256C2×C13×C22⋊C4C2311yescharacteristic
257C2×C13×C22⋊C4C2311yescharacteristic
258C2×C13×C22⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4C2311yescharacteristic
260C2×C13×C22⋊C4C2311yescharacteristic
261C2×C13×C22⋊C4C2311yescharacteristic
262C2×C13×C22⋊C4C2311yescharacteristic
263C2×C13×C22⋊C4C2311yescharacteristic
264C2×C13×C22⋊C4C2311yescharacteristic
265C2×C13×C22⋊C4C2311yescharacteristic
266C2×C13×C22⋊C4C2311yescharacteristic
267C2×C13×C22⋊C4C2311yescharacteristic
268C2×C13×C22⋊C4C2311yescharacteristic
269C2×C42×C13—24no—
270C2×C42×C13—24no—
271C2×C42×C13—24no—
272C2×C42×C13—24no—
273C2×C42×C13C2311yescharacteristic
274C2×C42×C13C2311yescharacteristic
275C2×C42×C13C2311yescharacteristic
276C2×C42×C13C2311yescharacteristic
277C2×C42×C13C2311yescharacteristic
278C2×C42×C13C2311yescharacteristic
279C2×C42×C13C2311yescharacteristic
280C2×C42×C13C2311yescharacteristic
281C2×C42×C13C2311yescharacteristic
282C2×C42×C13C2311yescharacteristic
283C2×C42×C13C2311yescharacteristic
284C2×C42×C13C2311yescharacteristic
285C2×C42×C13C2311yescharacteristic
286C2×C42×C13C2311yescharacteristic
287C2×C42×C13C2311yescharacteristic
288C2×C42×C13C2311yescharacteristic
289C2×C42×C13C2311yescharacteristic
290C2×C42×C13C2311yescharacteristic
291C2×C42×C13C2311yescharacteristic
292C2×C42×C13C2311yescharacteristic
293C2×C42×C13C2311yescharacteristic
294C2×C42×C13C2311yescharacteristic
295C2×C42×C13C2311yescharacteristic
296C2×C42×C13C2311yescharacteristic
297C13×#95C2311yescharacteristic
298C13×#95C2311yescharacteristic
299C13×#95C2311yescharacteristic
300C13×#95C2311yescharacteristic
301C13×#95C2311yescharacteristic
302C13×#95C2311yescharacteristic
303C13×#95C2311yescharacteristic
304C13×#95C2311yescharacteristic
305C13×#95C2311yescharacteristic
306C13×#95C2311yescharacteristic
307C13×#95C2311yescharacteristic
308C13×#95C2311yescharacteristic
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311C13×#95C2311yescharacteristic
312C13×#95C2311yescharacteristic
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
315C13×#95C2311yescharacteristic
316C13×#95C2311yescharacteristic
317C13×#95C2311yescharacteristic
318C13×#95C2311yescharacteristic
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357#34811C1311yesmaximal, characteristic, direct product factor, Sylow
358C24×C13C2411yescharacteristic
359C24×C13C2411yescharacteristic
360C24×C13C2411yescharacteristic
361C2×Q8×C13—22no—
362C2×Q8×C13—22no—
363C2×Q8×C13—41no—
364C2×D4×C13—22no—
365C2×D4×C13—22no—
366C2×D4×C13—22no—
367C2×D4×C13—22no—
368C2×D4×C13—22no—
369C2×D4×C13—22no—
370C2×D4×C13—22no—
371C2×D4×C13—41no—
372C2×D4×C13#4114yes—
373C22×C4×C13—22no—
374C22×C4×C13—22no—
375C22×C4×C13—22no—
376C22×C4×C13—22no—
377C22×C4×C13—22no—
378C22×C4×C13—22no—
379C22×C4×C13—22no—
380C22×C4×C13—22no—
381C22×C4×C13—22no—
382C22×C4×C13—22no—
383C22×C4×C13—22no—
384C22×C4×C13—22no—
385C22×C4×C13—22no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
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—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13#4114yes—
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
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
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
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C13×C4⋊C4—22no—
435C13×C4⋊C4—22no—
436C13×C4⋊C4—22no—
437C13×C4⋊C4—22no—
438C13×C4⋊C4—22no—
439C13×C4⋊C4—22no—
440C13×C4⋊C4—22no—
441C13×C4⋊C4—22no—
442C13×C4⋊C4—22no—
443C13×C4⋊C4—22no—
444C13×C4⋊C4—22no—
445C13×C4⋊C4—22no—
446C13×C4⋊C4—22no—
447C13×C4⋊C4—22no—
448C13×C4⋊C4—22no—
449C13×C4⋊C4—22no—
450C13×C4⋊C4—22no—
451C13×C4⋊C4—22no—
452C13×C4⋊C4—41no—
453C13×C4⋊C4—41no—
454C13×C4⋊C4—41no—
455C13×C4⋊C4—41no—
456C13×C4⋊C4—41no—
457C13×C4⋊C4—41no—
458C13×C4⋊C4—41no—
459C13×C4⋊C4—41no—
460C13×C4⋊C4—41no—
461C13×C4⋊C4—41no—
462C13×C22⋊C4—22no—
463C13×C22⋊C4—22no—
464C13×C22⋊C4—22no—
465C13×C22⋊C4—22no—
466C13×C22⋊C4—22no—
467C13×C22⋊C4—22no—
468C13×C22⋊C4—22no—
469C13×C22⋊C4—22no—
470C13×C22⋊C4—22no—
471C13×C22⋊C4—22no—
472C13×C22⋊C4—22no—
473C13×C22⋊C4—22no—
474C13×C22⋊C4—22no—
475C13×C22⋊C4—22no—
476C13×C22⋊C4—22no—
477C13×C22⋊C4—22no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4—41no—
483C13×C22⋊C4—41no—
484C13×C22⋊C4—41no—
485C13×C22⋊C4—41no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4#4114yes—
490C42×C13—22no—
491C42×C13—22no—
492C42×C13—22no—
493C42×C13—22no—
494C42×C13—22no—
495C42×C13—22no—
496C42×C13—22no—
497C42×C13—22no—
498C42×C13—22no—
499C42×C13—22no—
500C42×C13—22no—
501C42×C13—22no—
502C42×C13—22no—
503C42×C13—22no—
504C42×C13—22no—
505C42×C13—22no—
506C42×C13—22no—
507C42×C13—22no—
508C42×C13—22no—
509C42×C13—22no—
510C42×C13—41no—
511C42×C13—41no—
512C42×C13#4114yes—
513C42×C13#4114yes—
514#2533C2×C1311yescharacteristic, complemented
515#2532C2×C1311yescharacteristic, complemented
516#2531C2×C1311yescharacteristic, complemented
517#2530C2×C1311yescharacteristic, complemented
518#2529C2×C1311yescharacteristic, complemented
519#2528C2×C1311yescharacteristic, complemented
520#2527C2×C1311yescharacteristic, complemented
521#2526C2×C1311yescharacteristic, complemented
522#2510C2×C1311yescharacteristic, complemented
523#2505C2×C1311yescharacteristic, complemented
524#2493C2×C1311yescharacteristic, complemented
525#2488C2×C1311yescharacteristic, complemented
526#2450C2×C1311yescharacteristic, complemented
527#2444C2×C1311yescharacteristic
528#2425C2×C1311yescharacteristic
529#2419C2×C1311yescharacteristic, complemented
530#2402C2×C1311yescharacteristic, complemented
531#2401C2×C1311yescharacteristic, complemented
532#2401C2×C1311yescharacteristic, complemented
533#2398C2×C1311yescharacteristic, complemented
534C4×C22⋊Q8C2×C1311yescharacteristic, complemented
535C4×#123C2×C1311yescharacteristic, complemented
536C4×#123C2×C1311yescharacteristic, complemented
537C4×#121C2×C1311yescharacteristic
538#2298C2×C1311yescharacteristic, complemented
539#2295C2×C1311yescharacteristic, complemented
540#2290C2×C1311yescharacteristic, complemented
541#2290C2×C1311yescharacteristic, complemented
542#2283C2×C1311yescharacteristic, complemented
543C42×D4C2×C1311yescharacteristic, complemented
544C2×#376C2×C1311yescharacteristic, complemented
545C23×C13—21no—
546C23×C13—21no—
547C23×C13—21no—
548C23×C13—21no—
549C23×C13—21no—
550C23×C13—21no—
551C23×C13—21no—
552C23×C13—21no—
553C23×C13—21no—
554C23×C13—21no—
555C23×C13—21no—
556C23×C13—21no—
557C23×C13—21no—
558C23×C13—21no—
559C23×C13—21no—
560C23×C13—21no—
561C23×C13—21no—
562C23×C13C2×#4112yes—
563C23×C13C2×#4112yes—
564C23×C13C2×#4112yes—
565C23×C13C2×#4112yes—
566C23×C13C2511yescharacteristic
567Q8×C13—44no—
568D4×C13—28no—
569D4×C13—44no—
570D4×C13—44no—
571C2×C4×C13—21no—
572C2×C4×C13—21no—
573C2×C4×C13—21no—
574C2×C4×C13—21no—
575C2×C4×C13—21no—
576C2×C4×C13—21no—
577C2×C4×C13—21no—
578C2×C4×C13—21no—
579C2×C4×C13—21no—
580C2×C4×C13—21no—
581C2×C4×C13—21no—
582C2×C4×C13—21no—
583C2×C4×C13—21no—
584C2×C4×C13—21no—
585C2×C4×C13—21no—
586C2×C4×C13—21no—
587C2×C4×C13—28no—
588C2×C4×C13—21no—
589C2×C4×C13—21no—
590C2×C4×C13—21no—
591C2×C4×C13—21no—
592C2×C4×C13—21no—
593C2×C4×C13—21no—
594C2×C4×C13—21no—
595C2×C4×C13—21no—
596C2×C4×C13—21no—
597C2×C4×C13—21no—
598C2×C4×C13—21no—
599C2×C4×C13—21no—
600C2×C4×C13—21no—
601C2×C4×C13—21no—
602C2×C4×C13—21no—
603C2×C4×C13—21no—
604C2×C4×C13—21no—
605C2×C4×C13—21no—
606C2×C4×C13—21no—
607C2×C4×C13—21no—
608C2×C4×C13—21no—
609C2×C4×C13—21no—
610C2×C4×C13—21no—
611C2×C4×C13—21no—
612C2×C4×C13—21no—
613C2×C4×C13—21no—
614C2×C4×C13—21no—
615C2×C4×C13—21no—
616C2×C4×C13—21no—
617C2×C4×C13—21no—
618C2×C4×C13—21no—
619C2×C4×C13—21no—
620C2×C4×C13—21no—
621C2×C4×C13—21no—
622C2×C4×C13—21no—
623C2×C4×C13—21no—
624C2×C4×C13—21no—
625C2×C4×C13—21no—
626C2×C4×C13—21no—
627C2×C4×C13—21no—
628C2×C4×C13—21no—
629C2×C4×C13—21no—
630C2×C4×C13—21no—
631C2×C4×C13—21no—
632C2×C4×C13—21no—
633C2×C4×C13—21no—
634C2×C4×C13—21no—
635C2×C4×C13—21no—
636C2×C4×C13—21no—
637C2×C4×C13—21no—
638C2×C4×C13—21no—
639C2×C4×C13—21no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—44no—
646C2×C4×C13—44no—
647C2×C4×C13—44no—
648C2×C4×C13—44no—
649C2×C4×C13—44no—
650C2×C4×C13—44no—
651C2×C4×C13—44no—
652C2×C4×C13—44no—
653C2×C4×C13—44no—
654C2×C4×C13—44no—
655C2×C4×C13C2×#4112yes—
656C2×C4×C13C2×#4112yes—
657C2×C4×C13C2×#4112yes—
658C2×C4×C13C2×#4112yes—
659C2×C4×C13C2×#4112yes—
660C2×C4×C13C2×#4112yes—
661C2×C4×C13C2×#4112yes—
662C2×C4×C13C2×#4112yes—
663C2×C4×C13C2×#4112yes—
664C2×C4×C13C2×#4112yes—
665C2×C4×C13C2×#4112yes—
666C2×#123C22×C1311yescharacteristic
667C2×#123C22×C1311yescharacteristic
668C2×C22⋊Q8C22×C1311yescharacteristic
669C2×#121C22×C1311yescharacteristic
670C2×C4×Q8C22×C1311yescharacteristic
671C2×C4×D4C22×C1311yescharacteristic
672C2×C4×D4C22×C1311yescharacteristic
673C2×C4×D4C22×C1311yescharacteristic
674C2×C4×D4C22×C1311yescharacteristic
675C2×C4×D4C22×C1311yescharacteristic
676C2×#117C22×C1311yescharacteristic
677C22×C42C22×C1311yescharacteristic
678C22×C42C22×C1311yescharacteristic
679C22×C42C22×C1311yescharacteristic
680C22×C42C22×C1311yescharacteristic
681#401C22×C1311yescharacteristic
682#401C22×C1311yescharacteristic
683#400C22×C1311yescharacteristic
684#400C22×C1311yescharacteristic
685#400C22×C1311yescharacteristic
686#400C22×C1311yescharacteristic
687#400C22×C1311yescharacteristic
688#400C22×C1311yescharacteristic
689#400C22×C1311yescharacteristic
690#400C22×C1311yescharacteristic
691#400C22×C1311yescharacteristic
692#400C22×C1311yescharacteristic
693#400C22×C1311yescharacteristic
694#400C22×C1311yescharacteristic
695#398C22×C1311yescharacteristic
696#398C22×C1311yescharacteristic
697#398C22×C1311yescharacteristic
698#398C22×C1311yescharacteristic
699#397C22×C1311yescharacteristic
700#397C22×C1311yescharacteristic
701#397C22×C1311yescharacteristic
702#397C22×C1311yescharacteristic
703#397C22×C1311yescharacteristic
704#397C22×C1311yescharacteristic
705#397C22×C1311yescharacteristic
706#397C22×C1311yescharacteristic
707#396C22×C1311yescharacteristic
708#396C22×C1311yescharacteristic
709#394C22×C1311yescharacteristic
710#394C22×C1311yescharacteristic
711#393C22×C1311yescharacteristic
712#393C22×C1311yescharacteristic
713#391C22×C1311yescharacteristic
714#391C22×C1311yescharacteristic
715#391C22×C1311yescharacteristic
716#390C22×C1311yescharacteristic
717#389C22×C1311yescharacteristic
718#389C22×C1311yescharacteristic
719#389C22×C1311yescharacteristic
720#389C22×C1311yescharacteristic
721#388C22×C1311yescharacteristic
722#388C22×C1311yescharacteristic
723#388C22×C1311yescharacteristic
724#388C22×C1311yescharacteristic
725#388C22×C1311yescharacteristic
726#388C22×C1311yescharacteristic
727#388C22×C1311yescharacteristic
728#388C22×C1311yescharacteristic
729#388C22×C1311yescharacteristic
730#388C22×C1311yescharacteristic
731#388C22×C1311yescharacteristic
732#388C22×C1311yescharacteristic
733#388C22×C1311yescharacteristic
734#388C22×C1311yescharacteristic
735#387C22×C1311yescharacteristic
736#387C22×C1311yescharacteristic
737#387C22×C1311yescharacteristic
738#387C22×C1311yescharacteristic
739#387C22×C1311yescharacteristic
740#387C22×C1311yescharacteristic
741#387C22×C1311yescharacteristic
742#387C22×C1311yescharacteristic
743#387C22×C1311yescharacteristic
744#387C22×C1311yescharacteristic
745#387C22×C1311yescharacteristic
746#387C22×C1311yescharacteristic
747#387C22×C1311yescharacteristic
748#387C22×C1311yescharacteristic
749#387C22×C1311yescharacteristic
750#387C22×C1311yescharacteristic
751#387C22×C1311yescharacteristic
752#387C22×C1311yescharacteristic
753#386C22×C1311yescharacteristic
754#386C22×C1311yescharacteristic
755#386C22×C1311yescharacteristic
756#386C22×C1311yescharacteristic
757#386C22×C1311yescharacteristic
758#386C22×C1311yescharacteristic
759#386C22×C1311yescharacteristic
760#386C22×C1311yescharacteristic
761#385C22×C1311yescharacteristic
762#385C22×C1311yescharacteristic
763#385C22×C1311yescharacteristic
764#385C22×C1311yescharacteristic
765#385C22×C1311yescharacteristic
766#385C22×C1311yescharacteristic
767#385C22×C1311yescharacteristic
768#385C22×C1311yescharacteristic
769#383C22×C1311yescharacteristic
770#383C22×C1311yescharacteristic
771#382C22×C1311yescharacteristic
772#382C22×C1311yescharacteristic
773#381C22×C1311yescharacteristic
774#381C22×C1311yescharacteristic
775#381C22×C1311yescharacteristic
776#381C22×C1311yescharacteristic
777#380C22×C1311yescharacteristic
778#380C22×C1311yescharacteristic
779#380C22×C1311yescharacteristic
780#380C22×C1311yescharacteristic
781C4×C4⋊C4C22×C1311yescharacteristic
782C4×C4⋊C4C22×C1311yescharacteristic
783C4×C4⋊C4C22×C1311yescharacteristic
784C4×C4⋊C4C22×C1311yescharacteristic
785C4×C4⋊C4C22×C1311yescharacteristic
786C4×C4⋊C4C22×C1311yescharacteristic
787C4×C4⋊C4C22×C1311yescharacteristic
788C4×C4⋊C4C22×C1311yescharacteristic
789C4×C4⋊C4C22×C1311yescharacteristic
790C4×C4⋊C4C22×C1311yescharacteristic
791C4×C4⋊C4C22×C1311yescharacteristic
792C4×C4⋊C4C22×C1311yescharacteristic
793C4×C22⋊C4C22×C1311yescharacteristic
794C4×C22⋊C4C22×C1311yescharacteristic
795C4×C22⋊C4C22×C1311yescharacteristic
796C4×C22⋊C4C22×C1311yescharacteristic
797C4×C22⋊C4C22×C1311yescharacteristic
798C4×C22⋊C4C22×C1311yescharacteristic
799C4×C22⋊C4C22×C1311yescharacteristic
800C4×C22⋊C4C22×C1311yescharacteristic
801C4×C22⋊C4C22×C1311yescharacteristic
802C4×C22⋊C4C22×C1311yescharacteristic
803C4×C22⋊C4C22×C1311yescharacteristic
804C4×C22⋊C4C22×C1311yescharacteristic
805C4×C22⋊C4C22×C1311yescharacteristic
806C4×C22⋊C4C22×C1311yescharacteristic
807#376C22×C1311yescharacteristic
808#376C22×C1311yescharacteristic
809#376C22×C1311yescharacteristic
810#376C22×C1311yescharacteristic
811#376C22×C1311yescharacteristic
812#376C22×C1311yescharacteristic
813#376C22×C1311yescharacteristic
814#376C22×C1311yescharacteristic
815#376C22×C1311yescharacteristic
816C2×#95C22×C1311yescharacteristic
817C2×#95C22×C1311yescharacteristic
818C2×#95C22×C1311yescharacteristic
819C2×#95C22×C1311yescharacteristic
820C43C22×C1311yescharacteristic
821C22×C13—22no—
822C22×C13—22no—
823C22×C13—22no—
824C22×C13—22no—
825C22×C13—22no—
826C22×C13—22no—
827C22×C13—22no—
828C22×C13—22no—
829C22×C13—22no—
830C22×C13—41no—
831C22×C13—41no—
832C22×C13—41no—
833C22×C13—41no—
834C22×C13—41no—
835C22×C13—41no—
836C22×C13—41no—
837C22×C13—41no—
838C22×C13—41no—
839C22×C13—41no—
840C22×C13—41no—
841C22×C13#52914yes—
842C22×C13C22×#4111yescharacteristic
843C22×C13C22×#4111yescharacteristic
844C22×C13C22×#4111yescharacteristic
845C22×C13C22×#4111yescharacteristic
846C22×C13C22×#4111yescharacteristic
847C22×C13#58511yescharacteristic
848C22×C13#58511yescharacteristic
849C4×C13—22no—
850C4×C13—22no—
851C4×C13—22no—
852C4×C13—22no—
853C4×C13—22no—
854C4×C13—22no—
855C4×C13—22no—
856C4×C13—22no—
857C4×C13—41no—
858C4×C13—41no—
859C4×C13—41no—
860C4×C13—41no—
861C4×C13—41no—
862C4×C13—41no—
863C4×C13—41no—
864C4×C13—41no—
865C4×C13—41no—
866C4×C13—41no—
867C4×C13—41no—
868C4×C13—41no—
869C4×C13—41no—
870C4×C13—41no—
871C4×C13—41no—
872C4×C13—41no—
873C4×C13—41no—
874C4×C13—41no—
875C4×C13—41no—
876C4×C13#52914yes—
877C22×Q8C23×C1311yescharacteristic
878C22×D4C23×C1311yescharacteristic
879C22×D4C23×C1311yescharacteristic
880C22×D4C23×C1311yescharacteristic
881C23×C4C23×C1311yescharacteristic
882C23×C4C23×C1311yescharacteristic
883C23×C4C23×C1311yescharacteristic
884C23×C4C23×C1311yescharacteristic
885C23×C4C23×C1311yescharacteristic
886C23×C4C23×C1311yescharacteristic
887C23×C4C23×C1311yescharacteristic
888C23×C4C23×C1311yescharacteristic
889C23×C4C23×C1311yescharacteristic
890C23×C4C23×C1311yescharacteristic
891C23×C4C23×C1311yescharacteristic
892#123—24no—
893#123—24no—
894C22⋊Q8—24no—
895#121—24no—
896C4×Q8—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902#117—24no—
903C2×C4⋊C4C23×C1311yescharacteristic
904C2×C4⋊C4C23×C1311yescharacteristic
905C2×C4⋊C4C23×C1311yescharacteristic
906C2×C4⋊C4C23×C1311yescharacteristic
907C2×C4⋊C4C23×C1311yescharacteristic
908C2×C4⋊C4C23×C1311yescharacteristic
909C2×C4⋊C4C23×C1311yescharacteristic
910C2×C4⋊C4C23×C1311yescharacteristic
911C2×C4⋊C4C23×C1311yescharacteristic
912C2×C4⋊C4C23×C1311yescharacteristic
913C2×C4⋊C4C23×C1311yescharacteristic
914C2×C4⋊C4C23×C1311yescharacteristic
915C2×C4⋊C4C23×C1311yescharacteristic
916C2×C4⋊C4C23×C1311yescharacteristic
917C2×C4⋊C4C23×C1311yescharacteristic
918C2×C4⋊C4C23×C1311yescharacteristic
919C2×C4⋊C4C23×C1311yescharacteristic
920C2×C4⋊C4C23×C1311yescharacteristic
921C2×C4⋊C4C23×C1311yescharacteristic
922C2×C4⋊C4C23×C1311yescharacteristic
923C2×C4⋊C4C23×C1311yescharacteristic
924C2×C4⋊C4C23×C1311yescharacteristic
925C2×C4⋊C4C23×C1311yescharacteristic
926C2×C4⋊C4C23×C1311yescharacteristic
927C2×C4⋊C4C23×C1311yescharacteristic
928C2×C4⋊C4C23×C1311yescharacteristic
929C2×C4⋊C4C23×C1311yescharacteristic
930C2×C4⋊C4C23×C1311yescharacteristic
931C2×C22⋊C4C23×C1311yescharacteristic
932C2×C22⋊C4C23×C1311yescharacteristic
933C2×C22⋊C4C23×C1311yescharacteristic
934C2×C22⋊C4C23×C1311yescharacteristic
935C2×C22⋊C4C23×C1311yescharacteristic
936C2×C22⋊C4C23×C1311yescharacteristic
937C2×C22⋊C4C23×C1311yescharacteristic
938C2×C22⋊C4C23×C1311yescharacteristic
939C2×C22⋊C4C23×C1311yescharacteristic
940C2×C22⋊C4C23×C1311yescharacteristic
941C2×C22⋊C4C23×C1311yescharacteristic
942C2×C22⋊C4C23×C1311yescharacteristic
943C2×C22⋊C4C23×C1311yescharacteristic
944C2×C22⋊C4C23×C1311yescharacteristic
945C2×C22⋊C4C23×C1311yescharacteristic
946C2×C22⋊C4C23×C1311yescharacteristic
947C2×C22⋊C4C23×C1311yescharacteristic
948C2×C22⋊C4C23×C1311yescharacteristic
949C2×C22⋊C4C23×C1311yescharacteristic
950C2×C22⋊C4C23×C1311yescharacteristic
951C2×C22⋊C4C23×C1311yescharacteristic
952C2×C22⋊C4C23×C1311yescharacteristic
953C2×C22⋊C4C23×C1311yescharacteristic
954C2×C22⋊C4C23×C1311yescharacteristic
955C2×C22⋊C4C23×C1311yescharacteristic
956C2×C22⋊C4C23×C1311yescharacteristic
957C2×C22⋊C4C23×C1311yescharacteristic
958C2×C22⋊C4C23×C1311yescharacteristic
959C2×C42—24no—
960C2×C42—24no—
961C2×C42—24no—
962C2×C42—24no—
963C2×C42C23×C1311yescharacteristic
964C2×C42C23×C1311yescharacteristic
965C2×C42C23×C1311yescharacteristic
966C2×C42C23×C1311yescharacteristic
967C2×C42C23×C1311yescharacteristic
968C2×C42C23×C1311yescharacteristic
969C2×C42C23×C1311yescharacteristic
970C2×C42C23×C1311yescharacteristic
971C2×C42C23×C1311yescharacteristic
972C2×C42C23×C1311yescharacteristic
973C2×C42C23×C1311yescharacteristic
974C2×C42C23×C1311yescharacteristic
975C2×C42C23×C1311yescharacteristic
976C2×C42C23×C1311yescharacteristic
977C2×C42C23×C1311yescharacteristic
978C2×C42C23×C1311yescharacteristic
979C2×C42C23×C1311yescharacteristic
980C2×C42C23×C1311yescharacteristic
981C2×C42C23×C1311yescharacteristic
982C2×C42C23×C1311yescharacteristic
983C2×C42C23×C1311yescharacteristic
984C2×C42C23×C1311yescharacteristic
985C2×C42C23×C1311yescharacteristic
986C2×C42C23×C1311yescharacteristic
987#95C23×C1311yescharacteristic
988#95C23×C1311yescharacteristic
989#95C23×C1311yescharacteristic
990#95C23×C1311yescharacteristic
991#95C23×C1311yescharacteristic
992#95C23×C1311yescharacteristic
993#95C23×C1311yescharacteristic
994#95C23×C1311yescharacteristic
995#95C23×C1311yescharacteristic
996#95C23×C1311yescharacteristic
997#95C23×C1311yescharacteristic
998#95C23×C1311yescharacteristic
999#95C23×C1311yescharacteristic
1000#95C23×C1311yescharacteristic
1001#95C23×C1311yescharacteristic
1002#95C23×C1311yescharacteristic
1003#95C23×C1311yescharacteristic
1004#95C23×C1311yescharacteristic
1005#95C23×C1311yescharacteristic
1006#95C23×C1311yescharacteristic
1007#95C23×C1311yescharacteristic
1008#95C23×C1311yescharacteristic
1009#95C23×C1311yescharacteristic
1010#95C23×C1311yescharacteristic
1011#95C23×C1311yescharacteristic
1012#95C23×C1311yescharacteristic
1013#95C23×C1311yescharacteristic
1014#95C23×C1311yescharacteristic
1015#95C23×C1311yescharacteristic
1016#95C23×C1311yescharacteristic
1017#95C23×C1311yescharacteristic
1018#95C23×C1311yescharacteristic
1019#95C23×C1311yescharacteristic
1020#95C23×C1311yescharacteristic
1021#95C23×C1311yescharacteristic
1022#95C23×C1311yescharacteristic
1023#95C23×C1311yescharacteristic
1024#95C23×C1311yescharacteristic
1025#95C23×C1311yescharacteristic
1026#95C23×C1311yescharacteristic
1027#95C23×C1311yescharacteristic
1028#95C23×C1311yescharacteristic
1029#95C23×C1311yescharacteristic
1030#95C23×C1311yescharacteristic
1031#95C23×C1311yescharacteristic
1032#95C23×C1311yescharacteristic
1033#95C23×C1311yescharacteristic
1034#95C23×C1311yescharacteristic
1035#95C23×C1311yescharacteristic
1036#95C23×C1311yescharacteristic
1037#95C23×C1311yescharacteristic
1038#95C23×C1311yescharacteristic
1039#95C23×C1311yescharacteristic
1040#95C23×C1311yescharacteristic
1041#95C23×C1311yescharacteristic
1042#95C23×C1311yescharacteristic
1043#95C23×C1311yescharacteristic
1044#95C23×C1311yescharacteristic
1045#95C23×C1311yescharacteristic
1046#95C23×C1311yescharacteristic
1047C2×C13—24no—
1048C2×C13—42no—
1049C2×C13—81no—
1050C2×C13C2×#52911yescharacteristic
1051C2×C13C2×#52911yescharacteristic
1052C2×C13#345511yescharacteristic
1053C2×C13#347511yescharacteristic
1054C2×C13#347511yescharacteristic
1055C2×C13#347511yescharacteristic
1056C2×C13#347511yescharacteristic
1057C24C24×C1311yescharacteristic
1058C24C24×C1311yescharacteristic
1059C24C24×C1311yescharacteristic
1060C2×Q8—22no—
1061C2×Q8—22no—
1062C2×Q8—41no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—41no—
1071C2×D4C13×#4114yes—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4C13×#4114yes—
1105C22×C4C24×C1311yescharacteristic
1106C22×C4C24×C1311yescharacteristic
1107C22×C4C24×C1311yescharacteristic
1108C22×C4C24×C1311yescharacteristic
1109C22×C4C24×C1311yescharacteristic
1110C22×C4C24×C1311yescharacteristic
1111C22×C4C24×C1311yescharacteristic
1112C22×C4C24×C1311yescharacteristic
1113C22×C4C24×C1311yescharacteristic
1114C22×C4C24×C1311yescharacteristic
1115C22×C4C24×C1311yescharacteristic
1116C22×C4C24×C1311yescharacteristic
1117C22×C4C24×C1311yescharacteristic
1118C22×C4C24×C1311yescharacteristic
1119C22×C4C24×C1311yescharacteristic
1120C22×C4C24×C1311yescharacteristic
1121C22×C4C24×C1311yescharacteristic
1122C22×C4C24×C1311yescharacteristic
1123C22×C4C24×C1311yescharacteristic
1124C22×C4C24×C1311yescharacteristic
1125C22×C4C24×C1311yescharacteristic
1126C22×C4C24×C1311yescharacteristic
1127C22×C4C24×C1311yescharacteristic
1128C22×C4C24×C1311yescharacteristic
1129C22×C4C24×C1311yescharacteristic
1130C22×C4C24×C1311yescharacteristic
1131C22×C4C24×C1311yescharacteristic
1132C22×C4C24×C1311yescharacteristic
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4C13×#4114yes—
1189C42—22no—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—22no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—22no—
1205C42—22no—
1206C42—22no—
1207C42—22no—
1208C42—22no—
1209C42—41no—
1210C42—41no—
1211C42C13×#4114yes—
1212C42C13×#4114yes—
1213C13#3481111yescharacteristic, direct product factor, Sylow
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C2×C13×#4112yes—
1232C23C2×C13×#4112yes—
1233C23C2×C13×#4112yes—
1234C23C2×C13×#4112yes—
1235C23C25×C1311yescharacteristic
1236Q8—44no—
1237D4—28no—
1238D4—44no—
1239D4—44no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—28no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4—44no—
1323C2×C4—44no—
1324C2×C4C2×C13×#4112yes—
1325C2×C4C2×C13×#4112yes—
1326C2×C4C2×C13×#4112yes—
1327C2×C4C2×C13×#4112yes—
1328C2×C4C2×C13×#4112yes—
1329C2×C4C2×C13×#4112yes—
1330C2×C4C2×C13×#4112yes—
1331C2×C4C2×C13×#4112yes—
1332C2×C4C2×C13×#4112yes—
1333C2×C4C2×C13×#4112yes—
1334C2×C4C2×C13×#4112yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22C13×#52914yes—
1356C22C22×C13×#4111yescharacteristic
1357C22C22×C13×#4111yescharacteristic
1358C22C22×C13×#4111yescharacteristic
1359C22C22×C13×#4111yescharacteristic
1360C22C22×C13×#4111yescharacteristic
1361C22C13×#58511yescharacteristic
1362C22C13×#58511yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—22no—
1369C4—22no—
1370C4—22no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4C13×#52914yes—
1391C2—24no—
1392C2—42no—
1393C2—81no—
1394C2C2×C13×#52911yescharacteristic
1395C2C2×C13×#52911yescharacteristic
1396C2C13×#345511yescharacteristic
1397C2C13×#347511yescharacteristic
1398C2C13×#347511yescharacteristic
1399C2C13×#347511yescharacteristic
1400C2C13×#347511yescharacteristic
subgroupG/H
centerC22×C4×C13C24
commutator, Frattini, cosocleC23C25×C13
socleC23×C13C25
prime radicalC2×C13×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#2533C2semidirect
2. C13×#2532C2semidirect
3. C13×#2531C2semidirect
4. C13×#2530C2semidirect
5. C13×#2529C2semidirect
6. C13×#2528C2semidirect
7. C13×#2527C2semidirect
8. C13×#2526C2semidirect
9. C13×#2510C2semidirect
10. C13×#2505C2semidirect
11. C13×#2493C2semidirect
12. C13×#2488C2semidirect
13. C13×#2450C2semidirect
16. C13×#2419C2semidirect
17. C13×#2402C2semidirect
18. C13×#2401C2semidirect
19. C13×#2401C2semidirect
20. C13×#2398C2semidirect
21. C4×C13×C22⋊Q8C2semidirect
22. C4×C13×#123C2semidirect
23. C4×C13×#123C2semidirect
25. C13×#2298C2semidirect
26. C13×#2295C2semidirect
27. C13×#2290C2semidirect
28. C13×#2290C2semidirect
29. C13×#2283C2semidirect
30. C42×D4×C13C2semidirect
31. C2×C13×#376C2semidirect
357. #34811C13direct (N × H)
514. #2533C2×C13semidirect
515. #2532C2×C13semidirect
516. #2531C2×C13semidirect
517. #2530C2×C13semidirect
518. #2529C2×C13semidirect
519. #2528C2×C13semidirect
520. #2527C2×C13semidirect
521. #2526C2×C13semidirect
522. #2510C2×C13semidirect
523. #2505C2×C13semidirect
524. #2493C2×C13semidirect
525. #2488C2×C13semidirect
526. #2450C2×C13semidirect
529. #2419C2×C13semidirect
530. #2402C2×C13semidirect
531. #2401C2×C13semidirect
532. #2401C2×C13semidirect
533. #2398C2×C13semidirect
534. C4×C22⋊Q8C2×C13semidirect
535. C4×#123C2×C13semidirect
536. C4×#123C2×C13semidirect
538. #2298C2×C13semidirect
539. #2295C2×C13semidirect
540. #2290C2×C13semidirect
541. #2290C2×C13semidirect
542. #2283C2×C13semidirect
543. C42×D4C2×C13semidirect
544. C2×#376C2×C13semidirect
1213. C13#34811direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#25332
C13×#25322
C13×#25312
C13×#25302
C13×#25292
C13×#25282
C13×#25272
C13×#25262
C13×#25102
C13×#25052
C13×#24932
C13×#24882
C13×#24502
C13×#24442
C13×#24252
C13×#24192
C13×#24022
C13×#24012
C13×#23982
C4×C13×C22⋊Q82
C4×C13×#1232
C4×C13×#1212
C13×#22982
C13×#22952
C13×#22902
C13×#22832
C42×D4×C132
C2×C13×#3762
#3481113