Finite Group Databasebeta

← C13×#34592 #15720931

Subgroups — C13×#34592 #15720931

Order 3328.

1752 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2667C211yesmaximal, characteristic, complemented
2C13×#2666C211yesmaximal, characteristic, complemented
3C13×#2664C211yesmaximal, characteristic, complemented
4C13×#2663C211yesmaximal, characteristic, complemented
5C13×#2655C211yesmaximal, characteristic, complemented
6C13×#2654C211yesmaximal, characteristic, complemented
7C13×#2653C211yesmaximal, characteristic, complemented
8C13×#2652C211yesmaximal, characteristic, complemented
9C13×#2652C211yesmaximal, characteristic, complemented
10C13×#2652C211yesmaximal, characteristic, complemented
11C13×#2649C211yesmaximal, characteristic, complemented
12C13×#2649C211yesmaximal, characteristic, complemented
13C13×#2638C211yesmaximal, characteristic, complemented
14C13×#2636C211yesmaximal, characteristic
15C13×#2633C211yesmaximal, characteristic, complemented
16C13×#2630C211yesmaximal, characteristic
17C13×#2402C211yesmaximal, characteristic, complemented
18C13×#2401C211yesmaximal, characteristic, complemented
19C13×#2396C211yesmaximal, characteristic, complemented
20C13×#2396C211yesmaximal, characteristic, complemented
21C13×#2395C211yesmaximal, characteristic, complemented
22C13×#2395C211yesmaximal, characteristic, complemented
23C13×#2395C211yesmaximal, characteristic, complemented
24C13×#2392C211yesmaximal, characteristic
25C4×C13×#125C211yesmaximal, characteristic, complemented
26C4×C13×#126C211yesmaximal, characteristic, complemented
27C4×C13×C22⋊Q8C211yesmaximal, characteristic, complemented
28C4×C13×#123C211yesmaximal, characteristic, complemented
29C13×#2296C211yesmaximal, characteristic, complemented
30C13×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C13C211yesmaximal, characteristic, complemented
32C2×C13×#126C2211yescharacteristic
33C2×C13×#125C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×C22⋊Q8C2211yescharacteristic
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
43C2×C13×#117C2211yescharacteristic
44C2×C13×#117C2211yescharacteristic
45C22×C42×C13C2211yescharacteristic
46C22×C42×C13C2211yescharacteristic
47C13×#401C2211yescharacteristic
48C13×#400C2211yescharacteristic
49C13×#400C2211yescharacteristic
50C13×#400C2211yescharacteristic
51C13×#400C2211yescharacteristic
52C13×#400C2211yescharacteristic
53C13×#400C2211yescharacteristic
54C13×#400C2211yescharacteristic
55C13×#400C2211yescharacteristic
56C13×#400C2211yescharacteristic
57C13×#400C2211yescharacteristic
58C13×#400C2211yescharacteristic
59C13×#400C2211yescharacteristic
60C13×#399C2211yescharacteristic
61C13×#399C2211yescharacteristic
62C13×#399C2211yescharacteristic
63C13×#399C2211yescharacteristic
64C13×#399C2211yescharacteristic
65C13×#398C2211yescharacteristic
66C13×#398C2211yescharacteristic
67C13×#398C2211yescharacteristic
68C13×#398C2211yescharacteristic
69C13×#398C2211yescharacteristic
70C13×#398C2211yescharacteristic
71C13×#398C2211yescharacteristic
72C13×#398C2211yescharacteristic
73C13×#398C2211yescharacteristic
74C13×#398C2211yescharacteristic
75C13×#398C2211yescharacteristic
76C13×#398C2211yescharacteristic
77C13×#397C2211yescharacteristic
78C13×#397C2211yescharacteristic
79C13×#397C2211yescharacteristic
80C13×#397C2211yescharacteristic
81C13×#397C2211yescharacteristic
82C13×#397C2211yescharacteristic
83C13×#397C2211yescharacteristic
84C13×#397C2211yescharacteristic
85C13×#397C2211yescharacteristic
86C13×#397C2211yescharacteristic
87C13×#397C2211yescharacteristic
88C13×#397C2211yescharacteristic
89C13×#397C2211yescharacteristic
90C13×#396C2211yescharacteristic
91C13×#396C2211yescharacteristic
92C13×#396C2211yescharacteristic
93C13×#396C2211yescharacteristic
94C13×#396C2211yescharacteristic
95C13×#396C2211yescharacteristic
96C13×#396C2211yescharacteristic
97C13×#395C2211yescharacteristic
98C13×#395C2211yescharacteristic
99C13×#394C2211yescharacteristic
100C13×#394C2211yescharacteristic
101C13×#394C2211yescharacteristic
102C13×#394C2211yescharacteristic
103C13×#394C2211yescharacteristic
104C13×#394C2211yescharacteristic
105C13×#394C2211yescharacteristic
106C13×#394C2211yescharacteristic
107C13×#394C2211yescharacteristic
108C13×#393C2211yescharacteristic
109C13×#393C2211yescharacteristic
110C13×#392C2211yescharacteristic
111C13×#391C2211yescharacteristic
112C13×#389C2211yescharacteristic
113C13×#389C2211yescharacteristic
114C13×#389C2211yescharacteristic
115C13×#389C2211yescharacteristic
116C13×#389C2211yescharacteristic
117C13×#389C2211yescharacteristic
118C13×#389C2211yescharacteristic
119C13×#388C2211yescharacteristic
120C13×#388C2211yescharacteristic
121C13×#388C2211yescharacteristic
122C13×#388C2211yescharacteristic
123C13×#388C2211yescharacteristic
124C13×#388C2211yescharacteristic
125C13×#388C2211yescharacteristic
126C13×#387C2211yescharacteristic
127C13×#387C2211yescharacteristic
128C13×#387C2211yescharacteristic
129C13×#387C2211yescharacteristic
130C13×#387C2211yescharacteristic
131C13×#387C2211yescharacteristic
132C13×#387C2211yescharacteristic
133C13×#387C2211yescharacteristic
134C13×#387C2211yescharacteristic
135C13×#387C2211yescharacteristic
136C13×#387C2211yescharacteristic
137C13×#387C2211yescharacteristic
138C13×#387C2211yescharacteristic
139C13×#386C2211yescharacteristic
140C13×#386C2211yescharacteristic
141C13×#386C2211yescharacteristic
142C13×#385C2211yescharacteristic
143C13×#385C2211yescharacteristic
144C13×#385C2211yescharacteristic
145C13×#385C2211yescharacteristic
146C13×#385C2211yescharacteristic
147C13×#385C2211yescharacteristic
148C13×#385C2211yescharacteristic
149C13×#385C2211yescharacteristic
150C13×#385C2211yescharacteristic
151C13×#383C2211yescharacteristic
152C13×#382C2211yescharacteristic
153C13×#381C2211yescharacteristic
154C13×#380C2211yescharacteristic
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×C4⋊C4C2211yescharacteristic
170C4×C13×C4⋊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
183C4×C13×C22⋊C4C2211yescharacteristic
184C4×C13×C22⋊C4C2211yescharacteristic
185C13×#376C2211yescharacteristic
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
198C13×#126—24no—
199C13×#125—24no—
200C13×#123—24no—
201C13×C22⋊Q8—24no—
202C4×Q8×C13—42no—
203C4×D4×C13—24no—
204C4×D4×C13—24no—
205C4×D4×C13—24no—
206C4×D4×C13—24no—
207C4×D4×C13—42no—
208C13×#117—24no—
209C13×#117—42no—
210C13×#117—42no—
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C4⋊C4C2311yescharacteristic
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×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×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×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—42no—
284C2×C42×C13—42no—
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
297C2×C42×C13C2311yescharacteristic
298C2×C42×C13C2311yescharacteristic
299C2×C42×C13C2311yescharacteristic
300C2×C42×C13C2311yescharacteristic
301C2×C42×C13C2311yescharacteristic
302C2×C42×C13C2311yescharacteristic
303C2×C42×C13C2311yescharacteristic
304C2×C42×C13C2311yescharacteristic
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#34592C1311yesmaximal, characteristic, direct product factor, Sylow
358C24×C13C2411yescharacteristic
359C24×C13C2411yescharacteristic
360C24×C13C2411yescharacteristic
361C2×Q8×C13—22no—
362C2×Q8×C13—41no—
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—41no—
370C2×D4×C13—41no—
371C2×D4×C13—41no—
372C2×D4×C13—41no—
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—41no—
385C22×C4×C13—41no—
386C22×C4×C13—41no—
387C22×C4×C13—41no—
388C22×C4×C13—41no—
389C22×C4×C13—41no—
390C22×C4×C13—41no—
391C22×C4×C13—41no—
392C22×C4×C13#4114yes—
393C22×C4×C13#4114yes—
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C13×C4⋊C4—22no—
423C13×C4⋊C4—22no—
424C13×C4⋊C4—22no—
425C13×C4⋊C4—22no—
426C13×C4⋊C4—22no—
427C13×C4⋊C4—22no—
428C13×C4⋊C4—22no—
429C13×C4⋊C4—22no—
430C13×C4⋊C4—22no—
431C13×C4⋊C4—22no—
432C13×C4⋊C4—22no—
433C13×C4⋊C4—22no—
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—41no—
443C13×C4⋊C4—41no—
444C13×C4⋊C4—41no—
445C13×C4⋊C4—41no—
446C13×C4⋊C4—41no—
447C13×C4⋊C4—41no—
448C13×C4⋊C4—41no—
449C13×C4⋊C4—41no—
450C13×C4⋊C4—41no—
451C13×C4⋊C4—41no—
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—41no—
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—41no—
490C13×C22⋊C4—41no—
491C13×C22⋊C4—41no—
492C13×C22⋊C4—41no—
493C13×C22⋊C4—41no—
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—41no—
508C42×C13—41no—
509C42×C13—41no—
510C42×C13—41no—
511C42×C13—41no—
512C42×C13—41no—
513C42×C13#4114yes—
514#2667C2×C1311yescharacteristic, complemented
515#2666C2×C1311yescharacteristic, complemented
516#2664C2×C1311yescharacteristic, complemented
517#2663C2×C1311yescharacteristic, complemented
518#2655C2×C1311yescharacteristic, complemented
519#2654C2×C1311yescharacteristic, complemented
520#2653C2×C1311yescharacteristic, complemented
521#2652C2×C1311yescharacteristic, complemented
522#2652C2×C1311yescharacteristic, complemented
523#2652C2×C1311yescharacteristic, complemented
524#2649C2×C1311yescharacteristic, complemented
525#2649C2×C1311yescharacteristic, complemented
526#2638C2×C1311yescharacteristic, complemented
527#2636C2×C1311yescharacteristic
528#2633C2×C1311yescharacteristic, complemented
529#2630C2×C1311yescharacteristic
530#2402C2×C1311yescharacteristic, complemented
531#2401C2×C1311yescharacteristic, complemented
532#2396C2×C1311yescharacteristic, complemented
533#2396C2×C1311yescharacteristic, complemented
534#2395C2×C1311yescharacteristic, complemented
535#2395C2×C1311yescharacteristic, complemented
536#2395C2×C1311yescharacteristic, complemented
537#2392C2×C1311yescharacteristic
538C4×#125C2×C1311yescharacteristic, complemented
539C4×#126C2×C1311yescharacteristic, complemented
540C4×C22⋊Q8C2×C1311yescharacteristic, complemented
541C4×#123C2×C1311yescharacteristic, complemented
542#2296C2×C1311yescharacteristic, complemented
543#2290C2×C1311yescharacteristic, complemented
544C42×D4C2×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×C13—21no—
563C23×C13—21no—
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—28no—
584C2×C4×C13—21no—
585C2×C4×C13—21no—
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—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—21no—
646C2×C4×C13—21no—
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×C13C2×#4112yes—
654C2×C4×C13C2×#4112yes—
655C2×C4×C13C2×#4112yes—
656C2×C4×C13C2×#4112yes—
657C2×C4×C13C2×#4112yes—
658C2×C4×C13C2×#4112yes—
659C2×C4×C13C2×#4112yes—
660C2×C4×C13H(5,𝔽2)12yes—
661C2×C4×C132−1+412yes—
662C2×#126C22×C1311yescharacteristic
663C2×#125C22×C1311yescharacteristic
664C2×#123C22×C1311yescharacteristic
665C2×C22⋊Q8C22×C1311yescharacteristic
666C2×C4×Q8C22×C1311yescharacteristic
667C2×C4×D4C22×C1311yescharacteristic
668C2×C4×D4C22×C1311yescharacteristic
669C2×C4×D4C22×C1311yescharacteristic
670C2×C4×D4C22×C1311yescharacteristic
671C2×C4×D4C22×C1311yescharacteristic
672C2×#117C22×C1311yescharacteristic
673C2×#117C22×C1311yescharacteristic
674C2×#117C22×C1311yescharacteristic
675C22×C42C22×C1311yescharacteristic
676C22×C42C22×C1311yescharacteristic
677#401C22×C1311yescharacteristic
678#400C22×C1311yescharacteristic
679#400C22×C1311yescharacteristic
680#400C22×C1311yescharacteristic
681#400C22×C1311yescharacteristic
682#400C22×C1311yescharacteristic
683#400C22×C1311yescharacteristic
684#400C22×C1311yescharacteristic
685#400C22×C1311yescharacteristic
686#400C22×C1311yescharacteristic
687#400C22×C1311yescharacteristic
688#400C22×C1311yescharacteristic
689#400C22×C1311yescharacteristic
690#399C22×C1311yescharacteristic
691#399C22×C1311yescharacteristic
692#399C22×C1311yescharacteristic
693#399C22×C1311yescharacteristic
694#399C22×C1311yescharacteristic
695#398C22×C1311yescharacteristic
696#398C22×C1311yescharacteristic
697#398C22×C1311yescharacteristic
698#398C22×C1311yescharacteristic
699#398C22×C1311yescharacteristic
700#398C22×C1311yescharacteristic
701#398C22×C1311yescharacteristic
702#398C22×C1311yescharacteristic
703#398C22×C1311yescharacteristic
704#398C22×C1311yescharacteristic
705#398C22×C1311yescharacteristic
706#398C22×C1311yescharacteristic
707#397C22×C1311yescharacteristic
708#397C22×C1311yescharacteristic
709#397C22×C1311yescharacteristic
710#397C22×C1311yescharacteristic
711#397C22×C1311yescharacteristic
712#397C22×C1311yescharacteristic
713#397C22×C1311yescharacteristic
714#397C22×C1311yescharacteristic
715#397C22×C1311yescharacteristic
716#397C22×C1311yescharacteristic
717#397C22×C1311yescharacteristic
718#397C22×C1311yescharacteristic
719#397C22×C1311yescharacteristic
720#396C22×C1311yescharacteristic
721#396C22×C1311yescharacteristic
722#396C22×C1311yescharacteristic
723#396C22×C1311yescharacteristic
724#396C22×C1311yescharacteristic
725#396C22×C1311yescharacteristic
726#396C22×C1311yescharacteristic
727#395C22×C1311yescharacteristic
728#395C22×C1311yescharacteristic
729#394C22×C1311yescharacteristic
730#394C22×C1311yescharacteristic
731#394C22×C1311yescharacteristic
732#394C22×C1311yescharacteristic
733#394C22×C1311yescharacteristic
734#394C22×C1311yescharacteristic
735#394C22×C1311yescharacteristic
736#394C22×C1311yescharacteristic
737#394C22×C1311yescharacteristic
738#393C22×C1311yescharacteristic
739#393C22×C1311yescharacteristic
740#392C22×C1311yescharacteristic
741#391C22×C1311yescharacteristic
742#389C22×C1311yescharacteristic
743#389C22×C1311yescharacteristic
744#389C22×C1311yescharacteristic
745#389C22×C1311yescharacteristic
746#389C22×C1311yescharacteristic
747#389C22×C1311yescharacteristic
748#389C22×C1311yescharacteristic
749#388C22×C1311yescharacteristic
750#388C22×C1311yescharacteristic
751#388C22×C1311yescharacteristic
752#388C22×C1311yescharacteristic
753#388C22×C1311yescharacteristic
754#388C22×C1311yescharacteristic
755#388C22×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#386C22×C1311yescharacteristic
770#386C22×C1311yescharacteristic
771#386C22×C1311yescharacteristic
772#385C22×C1311yescharacteristic
773#385C22×C1311yescharacteristic
774#385C22×C1311yescharacteristic
775#385C22×C1311yescharacteristic
776#385C22×C1311yescharacteristic
777#385C22×C1311yescharacteristic
778#385C22×C1311yescharacteristic
779#385C22×C1311yescharacteristic
780#385C22×C1311yescharacteristic
781#383C22×C1311yescharacteristic
782#382C22×C1311yescharacteristic
783#381C22×C1311yescharacteristic
784#380C22×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×C4⋊C4C22×C1311yescharacteristic
794C4×C4⋊C4C22×C1311yescharacteristic
795C4×C4⋊C4C22×C1311yescharacteristic
796C4×C4⋊C4C22×C1311yescharacteristic
797C4×C4⋊C4C22×C1311yescharacteristic
798C4×C4⋊C4C22×C1311yescharacteristic
799C4×C4⋊C4C22×C1311yescharacteristic
800C4×C4⋊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
807C4×C22⋊C4C22×C1311yescharacteristic
808C4×C22⋊C4C22×C1311yescharacteristic
809C4×C22⋊C4C22×C1311yescharacteristic
810C4×C22⋊C4C22×C1311yescharacteristic
811C4×C22⋊C4C22×C1311yescharacteristic
812C4×C22⋊C4C22×C1311yescharacteristic
813C4×C22⋊C4C22×C1311yescharacteristic
814C4×C22⋊C4C22×C1311yescharacteristic
815#376C22×C1311yescharacteristic
816C43C22×C1311yescharacteristic
817C22×C13—22no—
818C22×C13—22no—
819C22×C13—22no—
820C22×C13—22no—
821C22×C13—22no—
822C22×C13—22no—
823C22×C13—41no—
824C22×C13—41no—
825C22×C13—41no—
826C22×C13—41no—
827C22×C13—41no—
828C22×C13—41no—
829C22×C13—41no—
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×C13C22×#4111yescharacteristic
839C22×C13C22×#4111yescharacteristic
840C22×C13C22×#4111yescharacteristic
841C22×C13C2×H(5,𝔽2)11yescharacteristic
842C22×C13C2×2−1+411yescharacteristic
843C22×C13#58511yescharacteristic
844C22×C13#58511yescharacteristic
845C4×C13—22no—
846C4×C13—22no—
847C4×C13—22no—
848C4×C13—22no—
849C4×C13—22no—
850C4×C13—22no—
851C4×C13—41no—
852C4×C13—41no—
853C4×C13—41no—
854C4×C13—41no—
855C4×C13—41no—
856C4×C13—41no—
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#53914yes—
873C22×Q8C23×C1311yescharacteristic
874C22×D4C23×C1311yescharacteristic
875C22×D4C23×C1311yescharacteristic
876C22×D4C23×C1311yescharacteristic
877C23×C4C23×C1311yescharacteristic
878C23×C4C23×C1311yescharacteristic
879C23×C4C23×C1311yescharacteristic
880C23×C4C23×C1311yescharacteristic
881C23×C4C23×C1311yescharacteristic
882C23×C4C23×C1311yescharacteristic
883C23×C4C23×C1311yescharacteristic
884#126—24no—
885#125—24no—
886#123—24no—
887C22⋊Q8—24no—
888C4×Q8—42no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—42no—
894#117—24no—
895#117—42no—
896#117—42no—
897C2×C4⋊C4C23×C1311yescharacteristic
898C2×C4⋊C4C23×C1311yescharacteristic
899C2×C4⋊C4C23×C1311yescharacteristic
900C2×C4⋊C4C23×C1311yescharacteristic
901C2×C4⋊C4C23×C1311yescharacteristic
902C2×C4⋊C4C23×C1311yescharacteristic
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×C4⋊C4C23×C1311yescharacteristic
932C2×C4⋊C4C23×C1311yescharacteristic
933C2×C4⋊C4C23×C1311yescharacteristic
934C2×C4⋊C4C23×C1311yescharacteristic
935C2×C4⋊C4C23×C1311yescharacteristic
936C2×C4⋊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×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×C42—42no—
970C2×C42—42no—
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
987C2×C42C23×C1311yescharacteristic
988C2×C42C23×C1311yescharacteristic
989C2×C42C23×C1311yescharacteristic
990C2×C42C23×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
1043C2×C13—42no—
1044C2×C13—42no—
1045C2×C13—81no—
1046C2×C13#344411yescharacteristic
1047C2×C13C2×#53911yescharacteristic
1048C2×C13#345511yescharacteristic
1049C2×C13#345911yescharacteristic
1050C2×C13#346011yescharacteristic
1051C2×C13#346111yescharacteristic
1052C2×C13#346111yescharacteristic
1053C24C24×C1311yescharacteristic
1054C24C24×C1311yescharacteristic
1055C24C24×C1311yescharacteristic
1056C2×Q8—22no—
1057C2×Q8—41no—
1058C2×Q8—41no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4C13×#4114yes—
1088C22×C4C13×#4114yes—
1089C22×C4C24×C1311yescharacteristic
1090C22×C4C24×C1311yescharacteristic
1091C22×C4C24×C1311yescharacteristic
1092C22×C4C24×C1311yescharacteristic
1093C22×C4C24×C1311yescharacteristic
1094C22×C4C24×C1311yescharacteristic
1095C22×C4C24×C1311yescharacteristic
1096C22×C4C24×C1311yescharacteristic
1097C22×C4C24×C1311yescharacteristic
1098C22×C4C24×C1311yescharacteristic
1099C22×C4C24×C1311yescharacteristic
1100C22×C4C24×C1311yescharacteristic
1101C22×C4C24×C1311yescharacteristic
1102C22×C4C24×C1311yescharacteristic
1103C22×C4C24×C1311yescharacteristic
1104C22×C4C24×C1311yescharacteristic
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
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
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—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
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⋊C4—41no—
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—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42C13×#4114yes—
1209C13#3459211yescharacteristic, direct product factor, Sylow
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
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—
1229C23C2×C13×#4112yes—
1230C23C2×C13×#4112yes—
1231C23C25×C1311yescharacteristic
1232Q8—44no—
1233D4—28no—
1234D4—44no—
1235D4—44no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
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—28no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
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—44no—
1313C2×C4—44no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4C2×C13×#4112yes—
1319C2×C4C2×C13×#4112yes—
1320C2×C4C2×C13×#4112yes—
1321C2×C4C2×C13×#4112yes—
1322C2×C4C2×C13×#4112yes—
1323C2×C4C2×C13×#4112yes—
1324C2×C4C2×C13×#4112yes—
1325C2×C4C13×H(5,𝔽2)12yes—
1326C2×C4C13×2−1+412yes—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22C22×C13×#4111yescharacteristic
1349C22C22×C13×#4111yescharacteristic
1350C22C22×C13×#4111yescharacteristic
1351C22C2×C13×H(5,𝔽2)11yescharacteristic
1352C22C2×C13×2−1+411yescharacteristic
1353C22C13×#58511yescharacteristic
1354C22C13×#58511yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4C13×#53914yes—
1383C2—42no—
1384C2—42no—
1385C2—81no—
1386C2C13×#344411yescharacteristic
1387C2C2×C13×#53911yescharacteristic
1388C2C13×#345511yescharacteristic
1389C2C13×#345911yescharacteristic
1390C2C13×#346011yescharacteristic
1391C2C13×#346111yescharacteristic
1392C2C13×#346111yescharacteristic
subgroupG/H
centerC22×C4×C13C24
commutator, Frattini, cosocleC23C25×C13
socleC23×C13C25
prime radicalC13×#392C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#2667C2semidirect
2. C13×#2666C2semidirect
3. C13×#2664C2semidirect
4. C13×#2663C2semidirect
5. C13×#2655C2semidirect
6. C13×#2654C2semidirect
7. C13×#2653C2semidirect
8. C13×#2652C2semidirect
9. C13×#2652C2semidirect
10. C13×#2652C2semidirect
11. C13×#2649C2semidirect
12. C13×#2649C2semidirect
13. C13×#2638C2semidirect
15. C13×#2633C2semidirect
17. C13×#2402C2semidirect
18. C13×#2401C2semidirect
19. C13×#2396C2semidirect
20. C13×#2396C2semidirect
21. C13×#2395C2semidirect
22. C13×#2395C2semidirect
23. C13×#2395C2semidirect
25. C4×C13×#125C2semidirect
26. C4×C13×#126C2semidirect
27. C4×C13×C22⋊Q8C2semidirect
28. C4×C13×#123C2semidirect
29. C13×#2296C2semidirect
30. C13×#2290C2semidirect
31. C42×D4×C13C2semidirect
357. #34592C13direct (N × H)
514. #2667C2×C13semidirect
515. #2666C2×C13semidirect
516. #2664C2×C13semidirect
517. #2663C2×C13semidirect
518. #2655C2×C13semidirect
519. #2654C2×C13semidirect
520. #2653C2×C13semidirect
521. #2652C2×C13semidirect
522. #2652C2×C13semidirect
523. #2652C2×C13semidirect
524. #2649C2×C13semidirect
525. #2649C2×C13semidirect
526. #2638C2×C13semidirect
528. #2633C2×C13semidirect
530. #2402C2×C13semidirect
531. #2401C2×C13semidirect
532. #2396C2×C13semidirect
533. #2396C2×C13semidirect
534. #2395C2×C13semidirect
535. #2395C2×C13semidirect
536. #2395C2×C13semidirect
538. C4×#125C2×C13semidirect
539. C4×#126C2×C13semidirect
540. C4×C22⋊Q8C2×C13semidirect
541. C4×#123C2×C13semidirect
542. #2296C2×C13semidirect
543. #2290C2×C13semidirect
544. C42×D4C2×C13semidirect
1209. C13#34592direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#26672
C13×#26662
C13×#26642
C13×#26632
C13×#26552
C13×#26542
C13×#26532
C13×#26522
C13×#26492
C13×#26382
C13×#26362
C13×#26332
C13×#26302
C13×#24022
C13×#24012
C13×#23962
C13×#23952
C13×#23922
C4×C13×#1252
C4×C13×#1262
C4×C13×C22⋊Q82
C4×C13×#1232
C13×#22962
C13×#22902
C42×D4×C132
#3459213