Finite Group Databasebeta

← C13×#34863 #15721202

Subgroups — C13×#34863 #15721202

Order 3328.

2006 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2606C211yesmaximal, characteristic, complemented
2C13×#2603C211yesmaximal, characteristic, complemented
3C13×#2601C211yesmaximal, characteristic, complemented
4C13×#2598C211yesmaximal, characteristic, complemented
5C13×#2595C211yesmaximal, characteristic, complemented
6C13×#2587C211yesmaximal, characteristic, complemented
7C13×#2578C211yesmaximal, characteristic, complemented
8C13×#2559C211yesmaximal, characteristic, complemented
9C13×#2530C211yesmaximal, characteristic, complemented
10C13×#2526C211yesmaximal, characteristic, complemented
11C13×#2525C211yesmaximal, characteristic, complemented
12C13×#2522C211yesmaximal, characteristic, complemented
13C13×#2476C211yesmaximal, characteristic, complemented
14C13×#2470C211yesmaximal, characteristic, complemented
15C13×#2468C211yesmaximal, characteristic, complemented
16C13×#2464C211yesmaximal, characteristic
17C13×#2402C211yesmaximal, characteristic, complemented
18C13×#2395C211yesmaximal, characteristic, complemented
19C13×#2392C211yesmaximal, characteristic, complemented
20C13×#2392C211yesmaximal, characteristic, complemented
21C4×C13×#126C211yesmaximal, characteristic, complemented
22C4×C13×#126C211yesmaximal, characteristic, complemented
23C4×C13×#123C211yesmaximal, characteristic, complemented
24C4×C13×#121C211yesmaximal, characteristic, complemented
25C4×C13×#121C211yesmaximal, characteristic, complemented
26C13×#2296C211yesmaximal, characteristic, complemented
27C13×#2293C211yesmaximal, characteristic, complemented
28C13×#2290C211yesmaximal, characteristic, complemented
29C13×#2290C211yesmaximal, characteristic, complemented
30C42×D4×C13C211yesmaximal, characteristic, complemented
31C4×C13×#117C211yesmaximal, characteristic, complemented
32C2×C13×#126C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#121C2211yescharacteristic
36C2×C13×#121C2211yescharacteristic
37C2×C4×D4×C13C2211yescharacteristic
38C2×C4×D4×C13C2211yescharacteristic
39C2×C4×D4×C13C2211yescharacteristic
40C2×C4×D4×C13C2211yescharacteristic
41C2×C4×D4×C13C2211yescharacteristic
42C2×C4×D4×C13C2211yescharacteristic
43C2×C4×D4×C13C2211yescharacteristic
44C2×C4×D4×C13C2211yescharacteristic
45C2×C13×#117C2211yescharacteristic
46C2×C13×#117C2211yescharacteristic
47C2×C13×#117C2211yescharacteristic
48C2×C13×#117C2211yescharacteristic
49C2×C13×#117C2211yescharacteristic
50C22×C42×C13C2211yescharacteristic
51C22×C42×C13C2211yescharacteristic
52C22×C42×C13C2211yescharacteristic
53C13×#400C2211yescharacteristic
54C13×#400C2211yescharacteristic
55C13×#400C2211yescharacteristic
56C13×#400C2211yescharacteristic
57C13×#400C2211yescharacteristic
58C13×#399C2211yescharacteristic
59C13×#398C2211yescharacteristic
60C13×#398C2211yescharacteristic
61C13×#398C2211yescharacteristic
62C13×#398C2211yescharacteristic
63C13×#398C2211yescharacteristic
64C13×#398C2211yescharacteristic
65C13×#398C2211yescharacteristic
66C13×#397C2211yescharacteristic
67C13×#397C2211yescharacteristic
68C13×#397C2211yescharacteristic
69C13×#397C2211yescharacteristic
70C13×#397C2211yescharacteristic
71C13×#396C2211yescharacteristic
72C13×#396C2211yescharacteristic
73C13×#396C2211yescharacteristic
74C13×#396C2211yescharacteristic
75C13×#394C2211yescharacteristic
76C13×#394C2211yescharacteristic
77C13×#394C2211yescharacteristic
78C13×#394C2211yescharacteristic
79C13×#394C2211yescharacteristic
80C13×#394C2211yescharacteristic
81C13×#394C2211yescharacteristic
82C13×#394C2211yescharacteristic
83C13×#392C2211yescharacteristic
84C13×#392C2211yescharacteristic
85C13×#390C2211yescharacteristic
86C13×#390C2211yescharacteristic
87C13×#390C2211yescharacteristic
88C13×#390C2211yescharacteristic
89C13×#389C2211yescharacteristic
90C13×#389C2211yescharacteristic
91C13×#389C2211yescharacteristic
92C13×#389C2211yescharacteristic
93C13×#389C2211yescharacteristic
94C13×#389C2211yescharacteristic
95C13×#389C2211yescharacteristic
96C13×#389C2211yescharacteristic
97C13×#388C2211yescharacteristic
98C13×#388C2211yescharacteristic
99C13×#388C2211yescharacteristic
100C13×#388C2211yescharacteristic
101C13×#388C2211yescharacteristic
102C13×#388C2211yescharacteristic
103C13×#388C2211yescharacteristic
104C13×#388C2211yescharacteristic
105C13×#388C2211yescharacteristic
106C13×#388C2211yescharacteristic
107C13×#388C2211yescharacteristic
108C13×#388C2211yescharacteristic
109C13×#388C2211yescharacteristic
110C13×#388C2211yescharacteristic
111C13×#388C2211yescharacteristic
112C13×#388C2211yescharacteristic
113C13×#388C2211yescharacteristic
114C13×#388C2211yescharacteristic
115C13×#388C2211yescharacteristic
116C13×#388C2211yescharacteristic
117C13×#387C2211yescharacteristic
118C13×#387C2211yescharacteristic
119C13×#387C2211yescharacteristic
120C13×#387C2211yescharacteristic
121C13×#387C2211yescharacteristic
122C13×#387C2211yescharacteristic
123C13×#387C2211yescharacteristic
124C13×#387C2211yescharacteristic
125C13×#387C2211yescharacteristic
126C13×#387C2211yescharacteristic
127C13×#387C2211yescharacteristic
128C13×#387C2211yescharacteristic
129C13×#386C2211yescharacteristic
130C13×#386C2211yescharacteristic
131C13×#386C2211yescharacteristic
132C13×#386C2211yescharacteristic
133C13×#386C2211yescharacteristic
134C13×#386C2211yescharacteristic
135C13×#386C2211yescharacteristic
136C13×#386C2211yescharacteristic
137C13×#386C2211yescharacteristic
138C13×#385C2211yescharacteristic
139C13×#385C2211yescharacteristic
140C13×#385C2211yescharacteristic
141C13×#385C2211yescharacteristic
142C13×#385C2211yescharacteristic
143C13×#385C2211yescharacteristic
144C13×#385C2211yescharacteristic
145C13×#385C2211yescharacteristic
146C13×#385C2211yescharacteristic
147C13×#383C2211yescharacteristic
148C13×#383C2211yescharacteristic
149C13×#381C2211yescharacteristic
150C13×#380C2211yescharacteristic
151C13×#380C2211yescharacteristic
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×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
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
182C13×#376C2211yescharacteristic
183C13×#376C2211yescharacteristic
184C13×#376C2211yescharacteristic
185C43×C13C2211yescharacteristic
186C43×C13C2211yescharacteristic
187C22×D4×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×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
202C23×C4×C13C2311yescharacteristic
203C13×#126—24no—
204C13×#126—24no—
205C13×#123—24no—
206C13×#121—24no—
207C13×#121—24no—
208C4×D4×C13—24no—
209C4×D4×C13—24no—
210C4×D4×C13—24no—
211C4×D4×C13—24no—
212C4×D4×C13—24no—
213C4×D4×C13—24no—
214C4×D4×C13—42no—
215C4×D4×C13—42no—
216C13×#117—24no—
217C13×#117—24no—
218C13×#117—24no—
219C13×#117—42no—
220C13×#117—42no—
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×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×C13×C22⋊C4C2311yescharacteristic
284C2×C13×C22⋊C4C2311yescharacteristic
285C2×C13×C22⋊C4C2311yescharacteristic
286C2×C13×C22⋊C4C2311yescharacteristic
287C2×C13×C22⋊C4C2311yescharacteristic
288C2×C13×C22⋊C4C2311yescharacteristic
289C2×C13×C22⋊C4C2311yescharacteristic
290C2×C13×C22⋊C4C2311yescharacteristic
291C2×C42×C13—24no—
292C2×C42×C13—42no—
293C2×C42×C13—42no—
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
311C2×C42×C13C2311yescharacteristic
312C2×C42×C13C2311yescharacteristic
313C2×C42×C13C2311yescharacteristic
314C2×C42×C13C2311yescharacteristic
315C2×C42×C13C2311yescharacteristic
316C2×C42×C13C2311yescharacteristic
317C2×C42×C13C2311yescharacteristic
318C2×C42×C13C2311yescharacteristic
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#34863C1311yesmaximal, characteristic, direct product factor, Sylow
364C24×C13C2411yescharacteristic
365C24×C13C2411yescharacteristic
366C24×C13C2411yescharacteristic
367C24×C13C2411yescharacteristic
368C2×D4×C13—22no—
369C2×D4×C13—22no—
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—22no—
378C2×D4×C13—22no—
379C2×D4×C13—22no—
380C2×D4×C13—22no—
381C2×D4×C13—41no—
382C2×D4×C13—41no—
383C2×D4×C13—41no—
384C2×D4×C13—41no—
385C2×D4×C13—41no—
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—22no—
406C22×C4×C13—22no—
407C22×C4×C13—22no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
412C22×C4×C13—41no—
413C22×C4×C13—41no—
414C22×C4×C13—41no—
415C22×C4×C13#4114yes—
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
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
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—41no—
466C13×C4⋊C4—41no—
467C13×C4⋊C4—41no—
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—41no—
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—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—22no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
511C13×C22⋊C4#4114yes—
512C13×C22⋊C4#4114yes—
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—22no—
523C42×C13—22no—
524C42×C13—22no—
525C42×C13—22no—
526C42×C13—22no—
527C42×C13—22no—
528C42×C13—22no—
529C42×C13—22no—
530C42×C13—41no—
531C42×C13—41no—
532C42×C13—41no—
533C42×C13—41no—
534C42×C13—41no—
535C42×C13—41no—
536C42×C13#4114yes—
537C42×C13#4114yes—
538#2606C2×C1311yescharacteristic, complemented
539#2603C2×C1311yescharacteristic, complemented
540#2601C2×C1311yescharacteristic, complemented
541#2598C2×C1311yescharacteristic, complemented
542#2595C2×C1311yescharacteristic, complemented
543#2587C2×C1311yescharacteristic, complemented
544#2578C2×C1311yescharacteristic, complemented
545#2559C2×C1311yescharacteristic, complemented
546#2530C2×C1311yescharacteristic, complemented
547#2526C2×C1311yescharacteristic, complemented
548#2525C2×C1311yescharacteristic, complemented
549#2522C2×C1311yescharacteristic, complemented
550#2476C2×C1311yescharacteristic, complemented
551#2470C2×C1311yescharacteristic, complemented
552#2468C2×C1311yescharacteristic, complemented
553#2464C2×C1311yescharacteristic
554#2402C2×C1311yescharacteristic, complemented
555#2395C2×C1311yescharacteristic, complemented
556#2392C2×C1311yescharacteristic, complemented
557#2392C2×C1311yescharacteristic, complemented
558C4×#126C2×C1311yescharacteristic, complemented
559C4×#126C2×C1311yescharacteristic, complemented
560C4×#123C2×C1311yescharacteristic, complemented
561C4×#121C2×C1311yescharacteristic, complemented
562C4×#121C2×C1311yescharacteristic, complemented
563#2296C2×C1311yescharacteristic, complemented
564#2293C2×C1311yescharacteristic, complemented
565#2290C2×C1311yescharacteristic, complemented
566#2290C2×C1311yescharacteristic, complemented
567C42×D4C2×C1311yescharacteristic, complemented
568C4×#117C2×C1311yescharacteristic, complemented
569C23×C13—21no—
570C23×C13—21no—
571C23×C13—21no—
572C23×C13—21no—
573C23×C13—21no—
574C23×C13—21no—
575C23×C13—21no—
576C23×C13—21no—
577C23×C13—21no—
578C23×C13—21no—
579C23×C13—21no—
580C23×C13—21no—
581C23×C13—21no—
582C23×C13—21no—
583C23×C13—21no—
584C23×C13—21no—
585C23×C13—21no—
586C23×C13—21no—
587C23×C13—21no—
588C23×C13—21no—
589C23×C13—21no—
590C23×C13—21no—
591C23×C13—21no—
592C23×C13—21no—
593C23×C13—21no—
594C23×C13C2×#4112yes—
595C23×C13C2×#4112yes—
596C23×C13C2×#4112yes—
597C23×C13C2511yescharacteristic
598D4×C13—28no—
599D4×C13—44no—
600D4×C13—44no—
601D4×C13—44no—
602D4×C13—44no—
603D4×C13—44no—
604C2×C4×C13—28no—
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—28no—
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—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—44no—
675C2×C4×C13—44no—
676C2×C4×C13—44no—
677C2×C4×C13—44no—
678C2×C4×C13—44no—
679C2×C4×C13—44no—
680C2×C4×C13—44no—
681C2×C4×C13—44no—
682C2×C4×C13C2×#4112yes—
683C2×C4×C13C2×#4112yes—
684C2×C4×C13C2×#4112yes—
685C2×C4×C13C2×#4112yes—
686C2×C4×C13C2×#4112yes—
687C2×C4×C13C2×#4112yes—
688C2×C4×C13C2×#4112yes—
689C2×C4×C13C2×#4112yes—
690C2×C4×C13C2×#4112yes—
691C2×C4×C13C2×#4112yes—
692C2×C4×C13C2×#4112yes—
693C2×C4×C13C2×#4112yes—
694C2×C4×C13H(5,𝔽2)12yes—
695C2×#126C22×C1311yescharacteristic
696C2×#126C22×C1311yescharacteristic
697C2×#123C22×C1311yescharacteristic
698C2×#121C22×C1311yescharacteristic
699C2×#121C22×C1311yescharacteristic
700C2×C4×D4C22×C1311yescharacteristic
701C2×C4×D4C22×C1311yescharacteristic
702C2×C4×D4C22×C1311yescharacteristic
703C2×C4×D4C22×C1311yescharacteristic
704C2×C4×D4C22×C1311yescharacteristic
705C2×C4×D4C22×C1311yescharacteristic
706C2×C4×D4C22×C1311yescharacteristic
707C2×C4×D4C22×C1311yescharacteristic
708C2×#117C22×C1311yescharacteristic
709C2×#117C22×C1311yescharacteristic
710C2×#117C22×C1311yescharacteristic
711C2×#117C22×C1311yescharacteristic
712C2×#117C22×C1311yescharacteristic
713C22×C42C22×C1311yescharacteristic
714C22×C42C22×C1311yescharacteristic
715C22×C42C22×C1311yescharacteristic
716#400C22×C1311yescharacteristic
717#400C22×C1311yescharacteristic
718#400C22×C1311yescharacteristic
719#400C22×C1311yescharacteristic
720#400C22×C1311yescharacteristic
721#399C22×C1311yescharacteristic
722#398C22×C1311yescharacteristic
723#398C22×C1311yescharacteristic
724#398C22×C1311yescharacteristic
725#398C22×C1311yescharacteristic
726#398C22×C1311yescharacteristic
727#398C22×C1311yescharacteristic
728#398C22×C1311yescharacteristic
729#397C22×C1311yescharacteristic
730#397C22×C1311yescharacteristic
731#397C22×C1311yescharacteristic
732#397C22×C1311yescharacteristic
733#397C22×C1311yescharacteristic
734#396C22×C1311yescharacteristic
735#396C22×C1311yescharacteristic
736#396C22×C1311yescharacteristic
737#396C22×C1311yescharacteristic
738#394C22×C1311yescharacteristic
739#394C22×C1311yescharacteristic
740#394C22×C1311yescharacteristic
741#394C22×C1311yescharacteristic
742#394C22×C1311yescharacteristic
743#394C22×C1311yescharacteristic
744#394C22×C1311yescharacteristic
745#394C22×C1311yescharacteristic
746#392C22×C1311yescharacteristic
747#392C22×C1311yescharacteristic
748#390C22×C1311yescharacteristic
749#390C22×C1311yescharacteristic
750#390C22×C1311yescharacteristic
751#390C22×C1311yescharacteristic
752#389C22×C1311yescharacteristic
753#389C22×C1311yescharacteristic
754#389C22×C1311yescharacteristic
755#389C22×C1311yescharacteristic
756#389C22×C1311yescharacteristic
757#389C22×C1311yescharacteristic
758#389C22×C1311yescharacteristic
759#389C22×C1311yescharacteristic
760#388C22×C1311yescharacteristic
761#388C22×C1311yescharacteristic
762#388C22×C1311yescharacteristic
763#388C22×C1311yescharacteristic
764#388C22×C1311yescharacteristic
765#388C22×C1311yescharacteristic
766#388C22×C1311yescharacteristic
767#388C22×C1311yescharacteristic
768#388C22×C1311yescharacteristic
769#388C22×C1311yescharacteristic
770#388C22×C1311yescharacteristic
771#388C22×C1311yescharacteristic
772#388C22×C1311yescharacteristic
773#388C22×C1311yescharacteristic
774#388C22×C1311yescharacteristic
775#388C22×C1311yescharacteristic
776#388C22×C1311yescharacteristic
777#388C22×C1311yescharacteristic
778#388C22×C1311yescharacteristic
779#388C22×C1311yescharacteristic
780#387C22×C1311yescharacteristic
781#387C22×C1311yescharacteristic
782#387C22×C1311yescharacteristic
783#387C22×C1311yescharacteristic
784#387C22×C1311yescharacteristic
785#387C22×C1311yescharacteristic
786#387C22×C1311yescharacteristic
787#387C22×C1311yescharacteristic
788#387C22×C1311yescharacteristic
789#387C22×C1311yescharacteristic
790#387C22×C1311yescharacteristic
791#387C22×C1311yescharacteristic
792#386C22×C1311yescharacteristic
793#386C22×C1311yescharacteristic
794#386C22×C1311yescharacteristic
795#386C22×C1311yescharacteristic
796#386C22×C1311yescharacteristic
797#386C22×C1311yescharacteristic
798#386C22×C1311yescharacteristic
799#386C22×C1311yescharacteristic
800#386C22×C1311yescharacteristic
801#385C22×C1311yescharacteristic
802#385C22×C1311yescharacteristic
803#385C22×C1311yescharacteristic
804#385C22×C1311yescharacteristic
805#385C22×C1311yescharacteristic
806#385C22×C1311yescharacteristic
807#385C22×C1311yescharacteristic
808#385C22×C1311yescharacteristic
809#385C22×C1311yescharacteristic
810#383C22×C1311yescharacteristic
811#383C22×C1311yescharacteristic
812#381C22×C1311yescharacteristic
813#380C22×C1311yescharacteristic
814#380C22×C1311yescharacteristic
815C4×C4⋊C4C22×C1311yescharacteristic
816C4×C4⋊C4C22×C1311yescharacteristic
817C4×C4⋊C4C22×C1311yescharacteristic
818C4×C4⋊C4C22×C1311yescharacteristic
819C4×C4⋊C4C22×C1311yescharacteristic
820C4×C4⋊C4C22×C1311yescharacteristic
821C4×C4⋊C4C22×C1311yescharacteristic
822C4×C4⋊C4C22×C1311yescharacteristic
823C4×C4⋊C4C22×C1311yescharacteristic
824C4×C4⋊C4C22×C1311yescharacteristic
825C4×C4⋊C4C22×C1311yescharacteristic
826C4×C4⋊C4C22×C1311yescharacteristic
827C4×C4⋊C4C22×C1311yescharacteristic
828C4×C4⋊C4C22×C1311yescharacteristic
829C4×C22⋊C4C22×C1311yescharacteristic
830C4×C22⋊C4C22×C1311yescharacteristic
831C4×C22⋊C4C22×C1311yescharacteristic
832C4×C22⋊C4C22×C1311yescharacteristic
833C4×C22⋊C4C22×C1311yescharacteristic
834C4×C22⋊C4C22×C1311yescharacteristic
835C4×C22⋊C4C22×C1311yescharacteristic
836C4×C22⋊C4C22×C1311yescharacteristic
837C4×C22⋊C4C22×C1311yescharacteristic
838C4×C22⋊C4C22×C1311yescharacteristic
839C4×C22⋊C4C22×C1311yescharacteristic
840C4×C22⋊C4C22×C1311yescharacteristic
841C4×C22⋊C4C22×C1311yescharacteristic
842C4×C22⋊C4C22×C1311yescharacteristic
843C4×C22⋊C4C22×C1311yescharacteristic
844C4×C22⋊C4C22×C1311yescharacteristic
845#376C22×C1311yescharacteristic
846#376C22×C1311yescharacteristic
847#376C22×C1311yescharacteristic
848C43C22×C1311yescharacteristic
849C43C22×C1311yescharacteristic
850C22×C13—22no—
851C22×C13—22no—
852C22×C13—22no—
853C22×C13—22no—
854C22×C13—22no—
855C22×C13—22no—
856C22×C13—22no—
857C22×C13—22no—
858C22×C13—22no—
859C22×C13—41no—
860C22×C13—41no—
861C22×C13—41no—
862C22×C13—41no—
863C22×C13—41no—
864C22×C13—41no—
865C22×C13—41no—
866C22×C13—41no—
867C22×C13—41no—
868C22×C13—41no—
869C22×C13—41no—
870C22×C13—41no—
871C22×C13—41no—
872C22×C13—41no—
873C22×C13—41no—
874C22×C13—41no—
875C22×C13—41no—
876C22×C13—41no—
877C22×C13—41no—
878C22×C13C22×#4111yescharacteristic
879C22×C13C22×#4111yescharacteristic
880C22×C13C22×#4111yescharacteristic
881C22×C13C22×#4111yescharacteristic
882C22×C13C22×#4111yescharacteristic
883C22×C13C2×H(5,𝔽2)11yescharacteristic
884C22×C13#58511yescharacteristic
885C4×C13—22no—
886C4×C13—22no—
887C4×C13—22no—
888C4×C13—22no—
889C4×C13—22no—
890C4×C13—22no—
891C4×C13—22no—
892C4×C13—22no—
893C4×C13—22no—
894C4×C13—22no—
895C4×C13—41no—
896C4×C13—41no—
897C4×C13—41no—
898C4×C13—41no—
899C4×C13—41no—
900C4×C13—41no—
901C4×C13—41no—
902C4×C13—41no—
903C4×C13—41no—
904C4×C13—41no—
905C4×C13—41no—
906C4×C13—41no—
907C4×C13—41no—
908C4×C13—41no—
909C4×C13—41no—
910C4×C13—41no—
911C4×C13#55314yes—
912C22×D4C23×C1311yescharacteristic
913C22×D4C23×C1311yescharacteristic
914C22×D4C23×C1311yescharacteristic
915C22×D4C23×C1311yescharacteristic
916C22×D4C23×C1311yescharacteristic
917C22×D4C23×C1311yescharacteristic
918C23×C4C23×C1311yescharacteristic
919C23×C4C23×C1311yescharacteristic
920C23×C4C23×C1311yescharacteristic
921C23×C4C23×C1311yescharacteristic
922C23×C4C23×C1311yescharacteristic
923C23×C4C23×C1311yescharacteristic
924C23×C4C23×C1311yescharacteristic
925C23×C4C23×C1311yescharacteristic
926C23×C4C23×C1311yescharacteristic
927C23×C4C23×C1311yescharacteristic
928#126—24no—
929#126—24no—
930#123—24no—
931#121—24no—
932#121—24no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—42no—
940C4×D4—42no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—42no—
945#117—42no—
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×C4⋊C4C23×C1311yescharacteristic
960C2×C4⋊C4C23×C1311yescharacteristic
961C2×C4⋊C4C23×C1311yescharacteristic
962C2×C4⋊C4C23×C1311yescharacteristic
963C2×C4⋊C4C23×C1311yescharacteristic
964C2×C4⋊C4C23×C1311yescharacteristic
965C2×C4⋊C4C23×C1311yescharacteristic
966C2×C4⋊C4C23×C1311yescharacteristic
967C2×C4⋊C4C23×C1311yescharacteristic
968C2×C4⋊C4C23×C1311yescharacteristic
969C2×C4⋊C4C23×C1311yescharacteristic
970C2×C4⋊C4C23×C1311yescharacteristic
971C2×C4⋊C4C23×C1311yescharacteristic
972C2×C4⋊C4C23×C1311yescharacteristic
973C2×C4⋊C4C23×C1311yescharacteristic
974C2×C4⋊C4C23×C1311yescharacteristic
975C2×C4⋊C4C23×C1311yescharacteristic
976C2×C4⋊C4C23×C1311yescharacteristic
977C2×C4⋊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×C22⋊C4C23×C1311yescharacteristic
988C2×C22⋊C4C23×C1311yescharacteristic
989C2×C22⋊C4C23×C1311yescharacteristic
990C2×C22⋊C4C23×C1311yescharacteristic
991C2×C22⋊C4C23×C1311yescharacteristic
992C2×C22⋊C4C23×C1311yescharacteristic
993C2×C22⋊C4C23×C1311yescharacteristic
994C2×C22⋊C4C23×C1311yescharacteristic
995C2×C22⋊C4C23×C1311yescharacteristic
996C2×C22⋊C4C23×C1311yescharacteristic
997C2×C22⋊C4C23×C1311yescharacteristic
998C2×C22⋊C4C23×C1311yescharacteristic
999C2×C22⋊C4C23×C1311yescharacteristic
1000C2×C22⋊C4C23×C1311yescharacteristic
1001C2×C22⋊C4C23×C1311yescharacteristic
1002C2×C22⋊C4C23×C1311yescharacteristic
1003C2×C22⋊C4C23×C1311yescharacteristic
1004C2×C22⋊C4C23×C1311yescharacteristic
1005C2×C22⋊C4C23×C1311yescharacteristic
1006C2×C22⋊C4C23×C1311yescharacteristic
1007C2×C22⋊C4C23×C1311yescharacteristic
1008C2×C22⋊C4C23×C1311yescharacteristic
1009C2×C22⋊C4C23×C1311yescharacteristic
1010C2×C22⋊C4C23×C1311yescharacteristic
1011C2×C22⋊C4C23×C1311yescharacteristic
1012C2×C22⋊C4C23×C1311yescharacteristic
1013C2×C22⋊C4C23×C1311yescharacteristic
1014C2×C22⋊C4C23×C1311yescharacteristic
1015C2×C22⋊C4C23×C1311yescharacteristic
1016C2×C42—24no—
1017C2×C42—42no—
1018C2×C42—42no—
1019C2×C42C23×C1311yescharacteristic
1020C2×C42C23×C1311yescharacteristic
1021C2×C42C23×C1311yescharacteristic
1022C2×C42C23×C1311yescharacteristic
1023C2×C42C23×C1311yescharacteristic
1024C2×C42C23×C1311yescharacteristic
1025C2×C42C23×C1311yescharacteristic
1026C2×C42C23×C1311yescharacteristic
1027C2×C42C23×C1311yescharacteristic
1028C2×C42C23×C1311yescharacteristic
1029C2×C42C23×C1311yescharacteristic
1030C2×C42C23×C1311yescharacteristic
1031C2×C42C23×C1311yescharacteristic
1032C2×C42C23×C1311yescharacteristic
1033C2×C42C23×C1311yescharacteristic
1034C2×C42C23×C1311yescharacteristic
1035C2×C42C23×C1311yescharacteristic
1036C2×C42C23×C1311yescharacteristic
1037C2×C42C23×C1311yescharacteristic
1038C2×C42C23×C1311yescharacteristic
1039C2×C42C23×C1311yescharacteristic
1040C2×C42C23×C1311yescharacteristic
1041C2×C42C23×C1311yescharacteristic
1042C2×C42C23×C1311yescharacteristic
1043C2×C42C23×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
1067#95C23×C1311yescharacteristic
1068#95C23×C1311yescharacteristic
1069#95C23×C1311yescharacteristic
1070#95C23×C1311yescharacteristic
1071#95C23×C1311yescharacteristic
1072#95C23×C1311yescharacteristic
1073#95C23×C1311yescharacteristic
1074#95C23×C1311yescharacteristic
1075#95C23×C1311yescharacteristic
1076#95C23×C1311yescharacteristic
1077#95C23×C1311yescharacteristic
1078#95C23×C1311yescharacteristic
1079#95C23×C1311yescharacteristic
1080#95C23×C1311yescharacteristic
1081#95C23×C1311yescharacteristic
1082#95C23×C1311yescharacteristic
1083#95C23×C1311yescharacteristic
1084#95C23×C1311yescharacteristic
1085#95C23×C1311yescharacteristic
1086#95C23×C1311yescharacteristic
1087#95C23×C1311yescharacteristic
1088C2×C13—42no—
1089C2×C13—42no—
1090C2×C13—42no—
1091C2×C13—81no—
1092C2×C13#344411yescharacteristic
1093C2×C13#344411yescharacteristic
1094C2×C13#346011yescharacteristic
1095C2×C13C2×#55311yescharacteristic
1096C2×C13#347511yescharacteristic
1097C2×C13#347511yescharacteristic
1098C2×C13#348111yescharacteristic
1099C24C24×C1311yescharacteristic
1100C24C24×C1311yescharacteristic
1101C24C24×C1311yescharacteristic
1102C24C24×C1311yescharacteristic
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4C13×#4114yes—
1151C22×C4C24×C1311yescharacteristic
1152C22×C4C24×C1311yescharacteristic
1153C22×C4C24×C1311yescharacteristic
1154C22×C4C24×C1311yescharacteristic
1155C22×C4C24×C1311yescharacteristic
1156C22×C4C24×C1311yescharacteristic
1157C22×C4C24×C1311yescharacteristic
1158C22×C4C24×C1311yescharacteristic
1159C22×C4C24×C1311yescharacteristic
1160C22×C4C24×C1311yescharacteristic
1161C22×C4C24×C1311yescharacteristic
1162C22×C4C24×C1311yescharacteristic
1163C22×C4C24×C1311yescharacteristic
1164C22×C4C24×C1311yescharacteristic
1165C22×C4C24×C1311yescharacteristic
1166C22×C4C24×C1311yescharacteristic
1167C22×C4C24×C1311yescharacteristic
1168C22×C4C24×C1311yescharacteristic
1169C22×C4C24×C1311yescharacteristic
1170C22×C4C24×C1311yescharacteristic
1171C22×C4C24×C1311yescharacteristic
1172C22×C4C24×C1311yescharacteristic
1173C22×C4C24×C1311yescharacteristic
1174C22×C4C24×C1311yescharacteristic
1175C22×C4C24×C1311yescharacteristic
1176C22×C4C24×C1311yescharacteristic
1177C22×C4C24×C1311yescharacteristic
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4C13×#4114yes—
1247C22⋊C4C13×#4114yes—
1248C42—22no—
1249C42—22no—
1250C42—22no—
1251C42—22no—
1252C42—22no—
1253C42—22no—
1254C42—22no—
1255C42—22no—
1256C42—22no—
1257C42—22no—
1258C42—22no—
1259C42—22no—
1260C42—22no—
1261C42—22no—
1262C42—22no—
1263C42—22no—
1264C42—22no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42C13×#4114yes—
1272C42C13×#4114yes—
1273C13#3486311yescharacteristic, direct product factor, Sylow
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23C2×C13×#4112yes—
1300C23C2×C13×#4112yes—
1301C23C2×C13×#4112yes—
1302C23C25×C1311yescharacteristic
1303D4—28no—
1304D4—44no—
1305D4—44no—
1306D4—44no—
1307D4—44no—
1308D4—44no—
1309C2×C4—28no—
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—28no—
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—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4C2×C13×#4112yes—
1388C2×C4C2×C13×#4112yes—
1389C2×C4C2×C13×#4112yes—
1390C2×C4C2×C13×#4112yes—
1391C2×C4C2×C13×#4112yes—
1392C2×C4C2×C13×#4112yes—
1393C2×C4C2×C13×#4112yes—
1394C2×C4C2×C13×#4112yes—
1395C2×C4C2×C13×#4112yes—
1396C2×C4C2×C13×#4112yes—
1397C2×C4C2×C13×#4112yes—
1398C2×C4C2×C13×#4112yes—
1399C2×C4C13×H(5,𝔽2)12yes—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22C22×C13×#4111yescharacteristic
1429C22C22×C13×#4111yescharacteristic
1430C22C22×C13×#4111yescharacteristic
1431C22C22×C13×#4111yescharacteristic
1432C22C22×C13×#4111yescharacteristic
1433C22C2×C13×H(5,𝔽2)11yescharacteristic
1434C22C13×#58511yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4C13×#55314yes—
1462C2—42no—
1463C2—42no—
1464C2—42no—
1465C2—81no—
1466C2C13×#344411yescharacteristic
1467C2C13×#344411yescharacteristic
1468C2C13×#346011yescharacteristic
1469C2C2×C13×#55311yescharacteristic
1470C2C13×#347511yescharacteristic
1471C2C13×#347511yescharacteristic
1472C2C13×#348111yescharacteristic
subgroupG/H
centerC22×C4×C13C24
commutator, Frattini, cosocleC23C25×C13
socleC23×C13C25
prime radicalC13×#2464C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#2606C2semidirect
2. C13×#2603C2semidirect
3. C13×#2601C2semidirect
4. C13×#2598C2semidirect
5. C13×#2595C2semidirect
6. C13×#2587C2semidirect
7. C13×#2578C2semidirect
8. C13×#2559C2semidirect
9. C13×#2530C2semidirect
10. C13×#2526C2semidirect
11. C13×#2525C2semidirect
12. C13×#2522C2semidirect
13. C13×#2476C2semidirect
14. C13×#2470C2semidirect
15. C13×#2468C2semidirect
17. C13×#2402C2semidirect
18. C13×#2395C2semidirect
19. C13×#2392C2semidirect
20. C13×#2392C2semidirect
21. C4×C13×#126C2semidirect
22. C4×C13×#126C2semidirect
23. C4×C13×#123C2semidirect
24. C4×C13×#121C2semidirect
25. C4×C13×#121C2semidirect
26. C13×#2296C2semidirect
27. C13×#2293C2semidirect
28. C13×#2290C2semidirect
29. C13×#2290C2semidirect
30. C42×D4×C13C2semidirect
31. C4×C13×#117C2semidirect
363. #34863C13direct (N × H)
538. #2606C2×C13semidirect
539. #2603C2×C13semidirect
540. #2601C2×C13semidirect
541. #2598C2×C13semidirect
542. #2595C2×C13semidirect
543. #2587C2×C13semidirect
544. #2578C2×C13semidirect
545. #2559C2×C13semidirect
546. #2530C2×C13semidirect
547. #2526C2×C13semidirect
548. #2525C2×C13semidirect
549. #2522C2×C13semidirect
550. #2476C2×C13semidirect
551. #2470C2×C13semidirect
552. #2468C2×C13semidirect
554. #2402C2×C13semidirect
555. #2395C2×C13semidirect
556. #2392C2×C13semidirect
557. #2392C2×C13semidirect
558. C4×#126C2×C13semidirect
559. C4×#126C2×C13semidirect
560. C4×#123C2×C13semidirect
561. C4×#121C2×C13semidirect
562. C4×#121C2×C13semidirect
563. #2296C2×C13semidirect
564. #2293C2×C13semidirect
565. #2290C2×C13semidirect
566. #2290C2×C13semidirect
567. C42×D4C2×C13semidirect
568. C4×#117C2×C13semidirect
1273. C13#34863direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#26062
C13×#26032
C13×#26012
C13×#25982
C13×#25952
C13×#25872
C13×#25782
C13×#25592
C13×#25302
C13×#25262
C13×#25252
C13×#25222
C13×#24762
C13×#24702
C13×#24682
C13×#24642
C13×#24022
C13×#23952
C13×#23922
C4×C13×#1262
C4×C13×#1232
C4×C13×#1212
C13×#22962
C13×#22932
C13×#22902
C42×D4×C132
C4×C13×#1172
#3486313