Finite Group Databasebeta

← C13×#34960 #15721299

Subgroups — C13×#34960 #15721299

Order 3328.

1976 conjugacy classes of subgroups.

The subgroup lattice has 1430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2596C211yesmaximal, characteristic, complemented
2C13×#2594C211yesmaximal, characteristic, complemented
3C13×#2590C211yesmaximal, characteristic, complemented
4C13×#2588C211yesmaximal, characteristic, complemented
5C13×#2577C211yesmaximal, characteristic, complemented
6C13×#2575C211yesmaximal, characteristic, complemented
7C13×#2560C211yesmaximal, characteristic, complemented
8C13×#2558C211yesmaximal, characteristic, complemented
9C13×#2493C211yesmaximal, characteristic, complemented
10C13×#2488C211yesmaximal, characteristic, complemented
11C13×#2481C211yesmaximal, characteristic, complemented
12C13×#2473C211yesmaximal, characteristic, complemented
13C13×#2449C211yesmaximal, characteristic, complemented
14C13×#2443C211yesmaximal, characteristic
15C13×#2425C211yesmaximal, characteristic
16C13×#2419C211yesmaximal, characteristic, complemented
17C13×#2402C211yesmaximal, characteristic, complemented
18C13×#2401C211yesmaximal, characteristic, complemented
19C13×#2396C211yesmaximal, characteristic, complemented
20C13×#2395C211yesmaximal, characteristic, complemented
21C4×C13×#125C211yesmaximal, characteristic, complemented
22C4×C13×#126C211yesmaximal, characteristic, complemented
23C4×C13×C22⋊Q8C211yesmaximal, characteristic, complemented
24C4×C13×C22⋊Q8C211yesmaximal, characteristic, complemented
25C4×C13×#123C211yesmaximal, characteristic, complemented
26C4×C13×#123C211yesmaximal, characteristic, complemented
27C4×C13×#123C211yesmaximal, characteristic, complemented
28C4×C13×#121C211yesmaximal, characteristic
29C13×#2290C211yesmaximal, characteristic, complemented
30C42×D4×C13C211yesmaximal, characteristic, complemented
31C2×C4×C13×C4⋊C4C211yesmaximal, characteristic, complemented
32C2×C13×#126C2211yescharacteristic
33C2×C13×#125C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic
36C2×C13×#123C2211yescharacteristic
37C2×C13×C22⋊Q8C2211yescharacteristic
38C2×C13×C22⋊Q8C2211yescharacteristic
39C2×C13×#121C2211yescharacteristic
40C2×C4×Q8×C13C2211yescharacteristic
41C2×C4×D4×C13C2211yescharacteristic
42C2×C4×D4×C13C2211yescharacteristic
43C2×C4×D4×C13C2211yescharacteristic
44C2×C4×D4×C13C2211yescharacteristic
45C2×C4×D4×C13C2211yescharacteristic
46C2×C13×#117C2211yescharacteristic
47C22×C13×C4⋊C4C2211yescharacteristic
48C22×C13×C4⋊C4C2211yescharacteristic
49C22×C42×C13C2211yescharacteristic
50C22×C42×C13C2211yescharacteristic
51C22×C42×C13C2211yescharacteristic
52C22×C42×C13C2211yescharacteristic
53C13×#401C2211yescharacteristic
54C13×#400C2211yescharacteristic
55C13×#400C2211yescharacteristic
56C13×#400C2211yescharacteristic
57C13×#400C2211yescharacteristic
58C13×#400C2211yescharacteristic
59C13×#400C2211yescharacteristic
60C13×#400C2211yescharacteristic
61C13×#400C2211yescharacteristic
62C13×#400C2211yescharacteristic
63C13×#399C2211yescharacteristic
64C13×#399C2211yescharacteristic
65C13×#398C2211yescharacteristic
66C13×#398C2211yescharacteristic
67C13×#398C2211yescharacteristic
68C13×#398C2211yescharacteristic
69C13×#398C2211yescharacteristic
70C13×#398C2211yescharacteristic
71C13×#398C2211yescharacteristic
72C13×#397C2211yescharacteristic
73C13×#397C2211yescharacteristic
74C13×#397C2211yescharacteristic
75C13×#397C2211yescharacteristic
76C13×#397C2211yescharacteristic
77C13×#397C2211yescharacteristic
78C13×#396C2211yescharacteristic
79C13×#396C2211yescharacteristic
80C13×#396C2211yescharacteristic
81C13×#395C2211yescharacteristic
82C13×#394C2211yescharacteristic
83C13×#394C2211yescharacteristic
84C13×#393C2211yescharacteristic
85C13×#391C2211yescharacteristic
86C13×#391C2211yescharacteristic
87C13×#390C2211yescharacteristic
88C13×#389C2211yescharacteristic
89C13×#389C2211yescharacteristic
90C13×#389C2211yescharacteristic
91C13×#389C2211yescharacteristic
92C13×#389C2211yescharacteristic
93C13×#388C2211yescharacteristic
94C13×#388C2211yescharacteristic
95C13×#388C2211yescharacteristic
96C13×#388C2211yescharacteristic
97C13×#388C2211yescharacteristic
98C13×#388C2211yescharacteristic
99C13×#388C2211yescharacteristic
100C13×#388C2211yescharacteristic
101C13×#388C2211yescharacteristic
102C13×#388C2211yescharacteristic
103C13×#388C2211yescharacteristic
104C13×#388C2211yescharacteristic
105C13×#388C2211yescharacteristic
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×#387C2211yescharacteristic
120C13×#387C2211yescharacteristic
121C13×#387C2211yescharacteristic
122C13×#387C2211yescharacteristic
123C13×#387C2211yescharacteristic
124C13×#387C2211yescharacteristic
125C13×#386C2211yescharacteristic
126C13×#386C2211yescharacteristic
127C13×#386C2211yescharacteristic
128C13×#386C2211yescharacteristic
129C13×#386C2211yescharacteristic
130C13×#386C2211yescharacteristic
131C13×#386C2211yescharacteristic
132C13×#385C2211yescharacteristic
133C13×#385C2211yescharacteristic
134C13×#385C2211yescharacteristic
135C13×#385C2211yescharacteristic
136C13×#385C2211yescharacteristic
137C13×#385C2211yescharacteristic
138C13×#385C2211yescharacteristic
139C13×#385C2211yescharacteristic
140C13×#385C2211yescharacteristic
141C13×#383C2211yescharacteristic
142C13×#382C2211yescharacteristic
143C13×#381C2211yescharacteristic
144C13×#381C2211yescharacteristic
145C13×#381C2211yescharacteristic
146C13×#380C2211yescharacteristic
147C13×#380C2211yescharacteristic
148C13×#380C2211yescharacteristic
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×C4⋊C4C2211yescharacteristic
160C4×C13×C4⋊C4C2211yescharacteristic
161C4×C13×C4⋊C4C2211yescharacteristic
162C4×C13×C4⋊C4C2211yescharacteristic
163C4×C13×C4⋊C4C2211yescharacteristic
164C4×C13×C4⋊C4C2211yescharacteristic
165C4×C13×C4⋊C4C2211yescharacteristic
166C4×C13×C4⋊C4C2211yescharacteristic
167C4×C13×C4⋊C4C2211yescharacteristic
168C4×C13×C4⋊C4C2211yescharacteristic
169C4×C13×C22⋊C4C2211yescharacteristic
170C4×C13×C22⋊C4C2211yescharacteristic
171C4×C13×C22⋊C4C2211yescharacteristic
172C4×C13×C22⋊C4C2211yescharacteristic
173C4×C13×C22⋊C4C2211yescharacteristic
174C4×C13×C22⋊C4C2211yescharacteristic
175C4×C13×C22⋊C4C2211yescharacteristic
176C4×C13×C22⋊C4C2211yescharacteristic
177C4×C13×C22⋊C4C2211yescharacteristic
178C4×C13×C22⋊C4C2211yescharacteristic
179C4×C13×C22⋊C4C2211yescharacteristic
180C4×C13×C22⋊C4C2211yescharacteristic
181C4×C13×C22⋊C4C2211yescharacteristic
182C4×C13×C22⋊C4C2211yescharacteristic
183C13×#376C2211yescharacteristic
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×#126—24no—
203C13×#125—24no—
204C13×#123—24no—
205C13×#123—24no—
206C13×#123—24no—
207C13×C22⋊Q8—24no—
208C13×C22⋊Q8—24no—
209C13×#121—24no—
210C4×Q8×C13—42no—
211C4×D4×C13—24no—
212C4×D4×C13—24no—
213C4×D4×C13—24no—
214C4×D4×C13—24no—
215C4×D4×C13—42no—
216C13×#117—42no—
217C2×C13×C4⋊C4—24no—
218C2×C13×C4⋊C4—24no—
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×C4⋊C4C2311yescharacteristic
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×C4⋊C4C2311yescharacteristic
252C2×C13×C4⋊C4C2311yescharacteristic
253C2×C13×C4⋊C4C2311yescharacteristic
254C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
270C2×C13×C22⋊C4C2311yescharacteristic
271C2×C13×C22⋊C4C2311yescharacteristic
272C2×C13×C22⋊C4C2311yescharacteristic
273C2×C13×C22⋊C4C2311yescharacteristic
274C2×C13×C22⋊C4C2311yescharacteristic
275C2×C13×C22⋊C4C2311yescharacteristic
276C2×C13×C22⋊C4C2311yescharacteristic
277C2×C13×C22⋊C4C2311yescharacteristic
278C2×C13×C22⋊C4C2311yescharacteristic
279C2×C13×C22⋊C4C2311yescharacteristic
280C2×C13×C22⋊C4C2311yescharacteristic
281C2×C13×C22⋊C4C2311yescharacteristic
282C2×C13×C22⋊C4C2311yescharacteristic
283C2×C42×C13—24no—
284C2×C42×C13—42no—
285C2×C42×C13—42no—
286C2×C42×C13—42no—
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
297C2×C42×C13C2311yescharacteristic
298C2×C42×C13C2311yescharacteristic
299C2×C42×C13C2311yescharacteristic
300C2×C42×C13C2311yescharacteristic
301C2×C42×C13C2311yescharacteristic
302C2×C42×C13C2311yescharacteristic
303C2×C42×C13C2311yescharacteristic
304C2×C42×C13C2311yescharacteristic
305C2×C42×C13C2311yescharacteristic
306C2×C42×C13C2311yescharacteristic
307C2×C42×C13C2311yescharacteristic
308C2×C42×C13C2311yescharacteristic
309C2×C42×C13C2311yescharacteristic
310C2×C42×C13C2311yescharacteristic
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
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363#34960C1311yesmaximal, characteristic, direct product factor, Sylow
364C24×C13C2411yescharacteristic
365C24×C13C2411yescharacteristic
366C24×C13C2411yescharacteristic
367C2×Q8×C13—22no—
368C2×Q8×C13—22no—
369C2×Q8×C13—41no—
370C2×D4×C13—22no—
371C2×D4×C13—22no—
372C2×D4×C13—22no—
373C2×D4×C13—22no—
374C2×D4×C13—22no—
375C2×D4×C13—22no—
376C2×D4×C13—22no—
377C2×D4×C13—41no—
378C2×D4×C13#4114yes—
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—22no—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—22no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13#4114yes—
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
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
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—22no—
453C13×C4⋊C4—22no—
454C13×C4⋊C4—22no—
455C13×C4⋊C4—22no—
456C13×C4⋊C4—22no—
457C13×C4⋊C4—22no—
458C13×C4⋊C4—22no—
459C13×C4⋊C4—22no—
460C13×C4⋊C4—22no—
461C13×C4⋊C4—22no—
462C13×C4⋊C4—22no—
463C13×C4⋊C4—22no—
464C13×C4⋊C4—22no—
465C13×C4⋊C4—22no—
466C13×C4⋊C4—22no—
467C13×C4⋊C4—22no—
468C13×C4⋊C4—41no—
469C13×C4⋊C4—41no—
470C13×C4⋊C4—41no—
471C13×C4⋊C4—41no—
472C13×C4⋊C4—41no—
473C13×C4⋊C4—41no—
474C13×C4⋊C4#4114yes—
475C13×C4⋊C4#4114yes—
476C13×C22⋊C4—22no—
477C13×C22⋊C4—22no—
478C13×C22⋊C4—22no—
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—22no—
486C13×C22⋊C4—22no—
487C13×C22⋊C4—22no—
488C13×C22⋊C4—22no—
489C13×C22⋊C4—22no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—22no—
494C13×C22⋊C4—22no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4#4114yes—
504C42×C13—22no—
505C42×C13—22no—
506C42×C13—22no—
507C42×C13—22no—
508C42×C13—22no—
509C42×C13—22no—
510C42×C13—22no—
511C42×C13—22no—
512C42×C13—22no—
513C42×C13—22no—
514C42×C13—22no—
515C42×C13—22no—
516C42×C13—22no—
517C42×C13—22no—
518C42×C13—22no—
519C42×C13—22no—
520C42×C13—22no—
521C42×C13—22no—
522C42×C13—41no—
523C42×C13—41no—
524C42×C13—41no—
525C42×C13—41no—
526C42×C13—41no—
527C42×C13—41no—
528#2596C2×C1311yescharacteristic, complemented
529#2594C2×C1311yescharacteristic, complemented
530#2590C2×C1311yescharacteristic, complemented
531#2588C2×C1311yescharacteristic, complemented
532#2577C2×C1311yescharacteristic, complemented
533#2575C2×C1311yescharacteristic, complemented
534#2560C2×C1311yescharacteristic, complemented
535#2558C2×C1311yescharacteristic, complemented
536#2493C2×C1311yescharacteristic, complemented
537#2488C2×C1311yescharacteristic, complemented
538#2481C2×C1311yescharacteristic, complemented
539#2473C2×C1311yescharacteristic, complemented
540#2449C2×C1311yescharacteristic, complemented
541#2443C2×C1311yescharacteristic
542#2425C2×C1311yescharacteristic
543#2419C2×C1311yescharacteristic, complemented
544#2402C2×C1311yescharacteristic, complemented
545#2401C2×C1311yescharacteristic, complemented
546#2396C2×C1311yescharacteristic, complemented
547#2395C2×C1311yescharacteristic, complemented
548C4×#125C2×C1311yescharacteristic, complemented
549C4×#126C2×C1311yescharacteristic, complemented
550C4×C22⋊Q8C2×C1311yescharacteristic, complemented
551C4×C22⋊Q8C2×C1311yescharacteristic, complemented
552C4×#123C2×C1311yescharacteristic, complemented
553C4×#123C2×C1311yescharacteristic, complemented
554C4×#123C2×C1311yescharacteristic, complemented
555C4×#121C2×C1311yescharacteristic
556#2290C2×C1311yescharacteristic, complemented
557C42×D4C2×C1311yescharacteristic, complemented
558C2×C4×C4⋊C4C2×C1311yescharacteristic, complemented
559C23×C13—21no—
560C23×C13—21no—
561C23×C13—21no—
562C23×C13—21no—
563C23×C13—21no—
564C23×C13—21no—
565C23×C13—21no—
566C23×C13—21no—
567C23×C13—21no—
568C23×C13—21no—
569C23×C13—21no—
570C23×C13—21no—
571C23×C13—21no—
572C23×C13—21no—
573C23×C13—21no—
574C23×C13—21no—
575C23×C13—21no—
576C23×C13C2×#4112yes—
577C23×C13C2×#4112yes—
578C23×C13C2×#4112yes—
579C23×C13C2×#4112yes—
580C23×C13C2511yescharacteristic
581Q8×C13—44no—
582D4×C13—28no—
583D4×C13—44no—
584D4×C13—44no—
585C2×C4×C13—28no—
586C2×C4×C13—21no—
587C2×C4×C13—21no—
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—28no—
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—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—44no—
659C2×C4×C13—44no—
660C2×C4×C13—44no—
661C2×C4×C13—44no—
662C2×C4×C13—44no—
663C2×C4×C13—44no—
664C2×C4×C13—44no—
665C2×C4×C13—44no—
666C2×C4×C13—44no—
667C2×C4×C13C2×#4112yes—
668C2×C4×C13C2×#4112yes—
669C2×C4×C13C2×#4112yes—
670C2×C4×C13C2×#4112yes—
671C2×C4×C13C2×#4112yes—
672C2×C4×C13C2×#4112yes—
673C2×C4×C13C2×#4112yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13H(5,𝔽2)12yes—
679C2×C4×C132−1+412yes—
680C2×#126C22×C1311yescharacteristic
681C2×#125C22×C1311yescharacteristic
682C2×#123C22×C1311yescharacteristic
683C2×#123C22×C1311yescharacteristic
684C2×#123C22×C1311yescharacteristic
685C2×C22⋊Q8C22×C1311yescharacteristic
686C2×C22⋊Q8C22×C1311yescharacteristic
687C2×#121C22×C1311yescharacteristic
688C2×C4×Q8C22×C1311yescharacteristic
689C2×C4×D4C22×C1311yescharacteristic
690C2×C4×D4C22×C1311yescharacteristic
691C2×C4×D4C22×C1311yescharacteristic
692C2×C4×D4C22×C1311yescharacteristic
693C2×C4×D4C22×C1311yescharacteristic
694C2×#117C22×C1311yescharacteristic
695C22×C4⋊C4C22×C1311yescharacteristic
696C22×C4⋊C4C22×C1311yescharacteristic
697C22×C42C22×C1311yescharacteristic
698C22×C42C22×C1311yescharacteristic
699C22×C42C22×C1311yescharacteristic
700C22×C42C22×C1311yescharacteristic
701#401C22×C1311yescharacteristic
702#400C22×C1311yescharacteristic
703#400C22×C1311yescharacteristic
704#400C22×C1311yescharacteristic
705#400C22×C1311yescharacteristic
706#400C22×C1311yescharacteristic
707#400C22×C1311yescharacteristic
708#400C22×C1311yescharacteristic
709#400C22×C1311yescharacteristic
710#400C22×C1311yescharacteristic
711#399C22×C1311yescharacteristic
712#399C22×C1311yescharacteristic
713#398C22×C1311yescharacteristic
714#398C22×C1311yescharacteristic
715#398C22×C1311yescharacteristic
716#398C22×C1311yescharacteristic
717#398C22×C1311yescharacteristic
718#398C22×C1311yescharacteristic
719#398C22×C1311yescharacteristic
720#397C22×C1311yescharacteristic
721#397C22×C1311yescharacteristic
722#397C22×C1311yescharacteristic
723#397C22×C1311yescharacteristic
724#397C22×C1311yescharacteristic
725#397C22×C1311yescharacteristic
726#396C22×C1311yescharacteristic
727#396C22×C1311yescharacteristic
728#396C22×C1311yescharacteristic
729#395C22×C1311yescharacteristic
730#394C22×C1311yescharacteristic
731#394C22×C1311yescharacteristic
732#393C22×C1311yescharacteristic
733#391C22×C1311yescharacteristic
734#391C22×C1311yescharacteristic
735#390C22×C1311yescharacteristic
736#389C22×C1311yescharacteristic
737#389C22×C1311yescharacteristic
738#389C22×C1311yescharacteristic
739#389C22×C1311yescharacteristic
740#389C22×C1311yescharacteristic
741#388C22×C1311yescharacteristic
742#388C22×C1311yescharacteristic
743#388C22×C1311yescharacteristic
744#388C22×C1311yescharacteristic
745#388C22×C1311yescharacteristic
746#388C22×C1311yescharacteristic
747#388C22×C1311yescharacteristic
748#388C22×C1311yescharacteristic
749#388C22×C1311yescharacteristic
750#388C22×C1311yescharacteristic
751#388C22×C1311yescharacteristic
752#388C22×C1311yescharacteristic
753#388C22×C1311yescharacteristic
754#387C22×C1311yescharacteristic
755#387C22×C1311yescharacteristic
756#387C22×C1311yescharacteristic
757#387C22×C1311yescharacteristic
758#387C22×C1311yescharacteristic
759#387C22×C1311yescharacteristic
760#387C22×C1311yescharacteristic
761#387C22×C1311yescharacteristic
762#387C22×C1311yescharacteristic
763#387C22×C1311yescharacteristic
764#387C22×C1311yescharacteristic
765#387C22×C1311yescharacteristic
766#387C22×C1311yescharacteristic
767#387C22×C1311yescharacteristic
768#387C22×C1311yescharacteristic
769#387C22×C1311yescharacteristic
770#387C22×C1311yescharacteristic
771#387C22×C1311yescharacteristic
772#387C22×C1311yescharacteristic
773#386C22×C1311yescharacteristic
774#386C22×C1311yescharacteristic
775#386C22×C1311yescharacteristic
776#386C22×C1311yescharacteristic
777#386C22×C1311yescharacteristic
778#386C22×C1311yescharacteristic
779#386C22×C1311yescharacteristic
780#385C22×C1311yescharacteristic
781#385C22×C1311yescharacteristic
782#385C22×C1311yescharacteristic
783#385C22×C1311yescharacteristic
784#385C22×C1311yescharacteristic
785#385C22×C1311yescharacteristic
786#385C22×C1311yescharacteristic
787#385C22×C1311yescharacteristic
788#385C22×C1311yescharacteristic
789#383C22×C1311yescharacteristic
790#382C22×C1311yescharacteristic
791#381C22×C1311yescharacteristic
792#381C22×C1311yescharacteristic
793#381C22×C1311yescharacteristic
794#380C22×C1311yescharacteristic
795#380C22×C1311yescharacteristic
796#380C22×C1311yescharacteristic
797C4×C4⋊C4C22×C1311yescharacteristic
798C4×C4⋊C4C22×C1311yescharacteristic
799C4×C4⋊C4C22×C1311yescharacteristic
800C4×C4⋊C4C22×C1311yescharacteristic
801C4×C4⋊C4C22×C1311yescharacteristic
802C4×C4⋊C4C22×C1311yescharacteristic
803C4×C4⋊C4C22×C1311yescharacteristic
804C4×C4⋊C4C22×C1311yescharacteristic
805C4×C4⋊C4C22×C1311yescharacteristic
806C4×C4⋊C4C22×C1311yescharacteristic
807C4×C4⋊C4C22×C1311yescharacteristic
808C4×C4⋊C4C22×C1311yescharacteristic
809C4×C4⋊C4C22×C1311yescharacteristic
810C4×C4⋊C4C22×C1311yescharacteristic
811C4×C4⋊C4C22×C1311yescharacteristic
812C4×C4⋊C4C22×C1311yescharacteristic
813C4×C4⋊C4C22×C1311yescharacteristic
814C4×C4⋊C4C22×C1311yescharacteristic
815C4×C4⋊C4C22×C1311yescharacteristic
816C4×C4⋊C4C22×C1311yescharacteristic
817C4×C22⋊C4C22×C1311yescharacteristic
818C4×C22⋊C4C22×C1311yescharacteristic
819C4×C22⋊C4C22×C1311yescharacteristic
820C4×C22⋊C4C22×C1311yescharacteristic
821C4×C22⋊C4C22×C1311yescharacteristic
822C4×C22⋊C4C22×C1311yescharacteristic
823C4×C22⋊C4C22×C1311yescharacteristic
824C4×C22⋊C4C22×C1311yescharacteristic
825C4×C22⋊C4C22×C1311yescharacteristic
826C4×C22⋊C4C22×C1311yescharacteristic
827C4×C22⋊C4C22×C1311yescharacteristic
828C4×C22⋊C4C22×C1311yescharacteristic
829C4×C22⋊C4C22×C1311yescharacteristic
830C4×C22⋊C4C22×C1311yescharacteristic
831#376C22×C1311yescharacteristic
832C2×#95C22×C1311yescharacteristic
833C2×#95C22×C1311yescharacteristic
834C43C22×C1311yescharacteristic
835C22×C13—22no—
836C22×C13—22no—
837C22×C13—22no—
838C22×C13—22no—
839C22×C13—22no—
840C22×C13—22no—
841C22×C13—22no—
842C22×C13—22no—
843C22×C13—22no—
844C22×C13—41no—
845C22×C13—41no—
846C22×C13—41no—
847C22×C13—41no—
848C22×C13—41no—
849C22×C13—41no—
850C22×C13—41no—
851C22×C13—41no—
852C22×C13—41no—
853C22×C13—41no—
854C22×C13—41no—
855C22×C13#52914yes—
856C22×C13C22×#4111yescharacteristic
857C22×C13C22×#4111yescharacteristic
858C22×C13C22×#4111yescharacteristic
859C22×C13C22×#4111yescharacteristic
860C22×C13C22×#4111yescharacteristic
861C22×C13C2×H(5,𝔽2)11yescharacteristic
862C22×C13C2×2−1+411yescharacteristic
863C4×C13—22no—
864C4×C13—22no—
865C4×C13—22no—
866C4×C13—22no—
867C4×C13—22no—
868C4×C13—22no—
869C4×C13—22no—
870C4×C13—22no—
871C4×C13—22no—
872C4×C13—22no—
873C4×C13—41no—
874C4×C13—41no—
875C4×C13—41no—
876C4×C13—41no—
877C4×C13—41no—
878C4×C13—41no—
879C4×C13—41no—
880C4×C13—41no—
881C4×C13—41no—
882C4×C13—41no—
883C4×C13—41no—
884C4×C13—41no—
885C4×C13—41no—
886C4×C13—41no—
887C4×C13—41no—
888C4×C13—41no—
889C4×C13—41no—
890C4×C13#53914yes—
891C22×Q8C23×C1311yescharacteristic
892C22×D4C23×C1311yescharacteristic
893C22×D4C23×C1311yescharacteristic
894C22×D4C23×C1311yescharacteristic
895C23×C4C23×C1311yescharacteristic
896C23×C4C23×C1311yescharacteristic
897C23×C4C23×C1311yescharacteristic
898C23×C4C23×C1311yescharacteristic
899C23×C4C23×C1311yescharacteristic
900C23×C4C23×C1311yescharacteristic
901C23×C4C23×C1311yescharacteristic
902C23×C4C23×C1311yescharacteristic
903C23×C4C23×C1311yescharacteristic
904C23×C4C23×C1311yescharacteristic
905C23×C4C23×C1311yescharacteristic
906#126—24no—
907#125—24no—
908#123—24no—
909#123—24no—
910#123—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913#121—24no—
914C4×Q8—42no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—42no—
920#117—42no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
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×C4⋊C4C23×C1311yescharacteristic
932C2×C4⋊C4C23×C1311yescharacteristic
933C2×C4⋊C4C23×C1311yescharacteristic
934C2×C4⋊C4C23×C1311yescharacteristic
935C2×C4⋊C4C23×C1311yescharacteristic
936C2×C4⋊C4C23×C1311yescharacteristic
937C2×C4⋊C4C23×C1311yescharacteristic
938C2×C4⋊C4C23×C1311yescharacteristic
939C2×C4⋊C4C23×C1311yescharacteristic
940C2×C4⋊C4C23×C1311yescharacteristic
941C2×C4⋊C4C23×C1311yescharacteristic
942C2×C4⋊C4C23×C1311yescharacteristic
943C2×C4⋊C4C23×C1311yescharacteristic
944C2×C4⋊C4C23×C1311yescharacteristic
945C2×C4⋊C4C23×C1311yescharacteristic
946C2×C4⋊C4C23×C1311yescharacteristic
947C2×C4⋊C4C23×C1311yescharacteristic
948C2×C4⋊C4C23×C1311yescharacteristic
949C2×C4⋊C4C23×C1311yescharacteristic
950C2×C4⋊C4C23×C1311yescharacteristic
951C2×C4⋊C4C23×C1311yescharacteristic
952C2×C4⋊C4C23×C1311yescharacteristic
953C2×C4⋊C4C23×C1311yescharacteristic
954C2×C4⋊C4C23×C1311yescharacteristic
955C2×C4⋊C4C23×C1311yescharacteristic
956C2×C4⋊C4C23×C1311yescharacteristic
957C2×C4⋊C4C23×C1311yescharacteristic
958C2×C4⋊C4C23×C1311yescharacteristic
959C2×C22⋊C4C23×C1311yescharacteristic
960C2×C22⋊C4C23×C1311yescharacteristic
961C2×C22⋊C4C23×C1311yescharacteristic
962C2×C22⋊C4C23×C1311yescharacteristic
963C2×C22⋊C4C23×C1311yescharacteristic
964C2×C22⋊C4C23×C1311yescharacteristic
965C2×C22⋊C4C23×C1311yescharacteristic
966C2×C22⋊C4C23×C1311yescharacteristic
967C2×C22⋊C4C23×C1311yescharacteristic
968C2×C22⋊C4C23×C1311yescharacteristic
969C2×C22⋊C4C23×C1311yescharacteristic
970C2×C22⋊C4C23×C1311yescharacteristic
971C2×C22⋊C4C23×C1311yescharacteristic
972C2×C22⋊C4C23×C1311yescharacteristic
973C2×C22⋊C4C23×C1311yescharacteristic
974C2×C22⋊C4C23×C1311yescharacteristic
975C2×C22⋊C4C23×C1311yescharacteristic
976C2×C22⋊C4C23×C1311yescharacteristic
977C2×C22⋊C4C23×C1311yescharacteristic
978C2×C22⋊C4C23×C1311yescharacteristic
979C2×C22⋊C4C23×C1311yescharacteristic
980C2×C22⋊C4C23×C1311yescharacteristic
981C2×C22⋊C4C23×C1311yescharacteristic
982C2×C22⋊C4C23×C1311yescharacteristic
983C2×C22⋊C4C23×C1311yescharacteristic
984C2×C22⋊C4C23×C1311yescharacteristic
985C2×C22⋊C4C23×C1311yescharacteristic
986C2×C22⋊C4C23×C1311yescharacteristic
987C2×C42—24no—
988C2×C42—42no—
989C2×C42—42no—
990C2×C42—42no—
991C2×C42C23×C1311yescharacteristic
992C2×C42C23×C1311yescharacteristic
993C2×C42C23×C1311yescharacteristic
994C2×C42C23×C1311yescharacteristic
995C2×C42C23×C1311yescharacteristic
996C2×C42C23×C1311yescharacteristic
997C2×C42C23×C1311yescharacteristic
998C2×C42C23×C1311yescharacteristic
999C2×C42C23×C1311yescharacteristic
1000C2×C42C23×C1311yescharacteristic
1001C2×C42C23×C1311yescharacteristic
1002C2×C42C23×C1311yescharacteristic
1003C2×C42C23×C1311yescharacteristic
1004C2×C42C23×C1311yescharacteristic
1005C2×C42C23×C1311yescharacteristic
1006C2×C42C23×C1311yescharacteristic
1007C2×C42C23×C1311yescharacteristic
1008C2×C42C23×C1311yescharacteristic
1009C2×C42C23×C1311yescharacteristic
1010C2×C42C23×C1311yescharacteristic
1011C2×C42C23×C1311yescharacteristic
1012C2×C42C23×C1311yescharacteristic
1013C2×C42C23×C1311yescharacteristic
1014C2×C42C23×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
1047#95C23×C1311yescharacteristic
1048#95C23×C1311yescharacteristic
1049#95C23×C1311yescharacteristic
1050#95C23×C1311yescharacteristic
1051#95C23×C1311yescharacteristic
1052#95C23×C1311yescharacteristic
1053#95C23×C1311yescharacteristic
1054#95C23×C1311yescharacteristic
1055#95C23×C1311yescharacteristic
1056#95C23×C1311yescharacteristic
1057#95C23×C1311yescharacteristic
1058#95C23×C1311yescharacteristic
1059#95C23×C1311yescharacteristic
1060#95C23×C1311yescharacteristic
1061#95C23×C1311yescharacteristic
1062#95C23×C1311yescharacteristic
1063#95C23×C1311yescharacteristic
1064#95C23×C1311yescharacteristic
1065#95C23×C1311yescharacteristic
1066#95C23×C1311yescharacteristic
1067C2×C13—24no—
1068C2×C13—42no—
1069C2×C13—81no—
1070C2×C13C2×#52911yescharacteristic
1071C2×C13#344411yescharacteristic
1072C2×C13C2×#53911yescharacteristic
1073C2×C13#348111yescharacteristic
1074C2×C13#348111yescharacteristic
1075C2×C13#348211yescharacteristic
1076C2×C13#348211yescharacteristic
1077C24C24×C1311yescharacteristic
1078C24C24×C1311yescharacteristic
1079C24C24×C1311yescharacteristic
1080C2×Q8—22no—
1081C2×Q8—22no—
1082C2×Q8—41no—
1083C2×D4—22no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—41no—
1091C2×D4C13×#4114yes—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4C13×#4114yes—
1125C22×C4C24×C1311yescharacteristic
1126C22×C4C24×C1311yescharacteristic
1127C22×C4C24×C1311yescharacteristic
1128C22×C4C24×C1311yescharacteristic
1129C22×C4C24×C1311yescharacteristic
1130C22×C4C24×C1311yescharacteristic
1131C22×C4C24×C1311yescharacteristic
1132C22×C4C24×C1311yescharacteristic
1133C22×C4C24×C1311yescharacteristic
1134C22×C4C24×C1311yescharacteristic
1135C22×C4C24×C1311yescharacteristic
1136C22×C4C24×C1311yescharacteristic
1137C22×C4C24×C1311yescharacteristic
1138C22×C4C24×C1311yescharacteristic
1139C22×C4C24×C1311yescharacteristic
1140C22×C4C24×C1311yescharacteristic
1141C22×C4C24×C1311yescharacteristic
1142C22×C4C24×C1311yescharacteristic
1143C22×C4C24×C1311yescharacteristic
1144C22×C4C24×C1311yescharacteristic
1145C22×C4C24×C1311yescharacteristic
1146C22×C4C24×C1311yescharacteristic
1147C22×C4C24×C1311yescharacteristic
1148C22×C4C24×C1311yescharacteristic
1149C22×C4C24×C1311yescharacteristic
1150C22×C4C24×C1311yescharacteristic
1151C22×C4C24×C1311yescharacteristic
1152C22×C4C24×C1311yescharacteristic
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4C13×#4114yes—
1188C4⋊C4C13×#4114yes—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4C13×#4114yes—
1217C42—22no—
1218C42—22no—
1219C42—22no—
1220C42—22no—
1221C42—22no—
1222C42—22no—
1223C42—22no—
1224C42—22no—
1225C42—22no—
1226C42—22no—
1227C42—22no—
1228C42—22no—
1229C42—22no—
1230C42—22no—
1231C42—22no—
1232C42—22no—
1233C42—22no—
1234C42—22no—
1235C42—41no—
1236C42—41no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C13#3496011yescharacteristic, direct product factor, Sylow
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23C2×C13×#4112yes—
1260C23C2×C13×#4112yes—
1261C23C2×C13×#4112yes—
1262C23C2×C13×#4112yes—
1263C23C25×C1311yescharacteristic
1264Q8—44no—
1265D4—28no—
1266D4—44no—
1267D4—44no—
1268C2×C4—28no—
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—28no—
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—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—44no—
1342C2×C4—44no—
1343C2×C4—44no—
1344C2×C4—44no—
1345C2×C4—44no—
1346C2×C4—44no—
1347C2×C4—44no—
1348C2×C4—44no—
1349C2×C4—44no—
1350C2×C4C2×C13×#4112yes—
1351C2×C4C2×C13×#4112yes—
1352C2×C4C2×C13×#4112yes—
1353C2×C4C2×C13×#4112yes—
1354C2×C4C2×C13×#4112yes—
1355C2×C4C2×C13×#4112yes—
1356C2×C4C2×C13×#4112yes—
1357C2×C4C2×C13×#4112yes—
1358C2×C4C2×C13×#4112yes—
1359C2×C4C2×C13×#4112yes—
1360C2×C4C2×C13×#4112yes—
1361C2×C4C13×H(5,𝔽2)12yes—
1362C2×C4C13×2−1+412yes—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22C13×#52914yes—
1384C22C22×C13×#4111yescharacteristic
1385C22C22×C13×#4111yescharacteristic
1386C22C22×C13×#4111yescharacteristic
1387C22C22×C13×#4111yescharacteristic
1388C22C22×C13×#4111yescharacteristic
1389C22C2×C13×H(5,𝔽2)11yescharacteristic
1390C22C2×C13×2−1+411yescharacteristic
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—22no—
1398C4—22no—
1399C4—22no—
1400C4—22no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—41no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4C13×#53914yes—
1419C2—24no—
1420C2—42no—
1421C2—81no—
1422C2C2×C13×#52911yescharacteristic
1423C2C13×#344411yescharacteristic
1424C2C2×C13×#53911yescharacteristic
1425C2C13×#348111yescharacteristic
1426C2C13×#348111yescharacteristic
1427C2C13×#348211yescharacteristic
1428C2C13×#348211yescharacteristic
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×#2596C2semidirect
2. C13×#2594C2semidirect
3. C13×#2590C2semidirect
4. C13×#2588C2semidirect
5. C13×#2577C2semidirect
6. C13×#2575C2semidirect
7. C13×#2560C2semidirect
8. C13×#2558C2semidirect
9. C13×#2493C2semidirect
10. C13×#2488C2semidirect
11. C13×#2481C2semidirect
12. C13×#2473C2semidirect
13. C13×#2449C2semidirect
16. C13×#2419C2semidirect
17. C13×#2402C2semidirect
18. C13×#2401C2semidirect
19. C13×#2396C2semidirect
20. C13×#2395C2semidirect
21. C4×C13×#125C2semidirect
22. C4×C13×#126C2semidirect
23. C4×C13×C22⋊Q8C2semidirect
24. C4×C13×C22⋊Q8C2semidirect
25. C4×C13×#123C2semidirect
26. C4×C13×#123C2semidirect
27. C4×C13×#123C2semidirect
29. C13×#2290C2semidirect
30. C42×D4×C13C2semidirect
31. C2×C4×C13×C4⋊C4C2semidirect
363. #34960C13direct (N × H)
528. #2596C2×C13semidirect
529. #2594C2×C13semidirect
530. #2590C2×C13semidirect
531. #2588C2×C13semidirect
532. #2577C2×C13semidirect
533. #2575C2×C13semidirect
534. #2560C2×C13semidirect
535. #2558C2×C13semidirect
536. #2493C2×C13semidirect
537. #2488C2×C13semidirect
538. #2481C2×C13semidirect
539. #2473C2×C13semidirect
540. #2449C2×C13semidirect
543. #2419C2×C13semidirect
544. #2402C2×C13semidirect
545. #2401C2×C13semidirect
546. #2396C2×C13semidirect
547. #2395C2×C13semidirect
548. C4×#125C2×C13semidirect
549. C4×#126C2×C13semidirect
550. C4×C22⋊Q8C2×C13semidirect
551. C4×C22⋊Q8C2×C13semidirect
552. C4×#123C2×C13semidirect
553. C4×#123C2×C13semidirect
554. C4×#123C2×C13semidirect
556. #2290C2×C13semidirect
557. C42×D4C2×C13semidirect
558. C2×C4×C4⋊C4C2×C13semidirect
1241. C13#34960direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#25962
C13×#25942
C13×#25902
C13×#25882
C13×#25772
C13×#25752
C13×#25602
C13×#25582
C13×#24932
C13×#24882
C13×#24812
C13×#24732
C13×#24492
C13×#24432
C13×#24252
C13×#24192
C13×#24022
C13×#24012
C13×#23962
C13×#23952
C4×C13×#1252
C4×C13×#1262
C4×C13×C22⋊Q82
C4×C13×#1232
C4×C13×#1212
C13×#22902
C42×D4×C132
C2×C4×C13×C4⋊C42
#3496013