Finite Group Databasebeta

← C13×#34501 #15720840

Subgroups — C13×#34501 #15720840

Order 3328.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#552C211yesmaximal, characteristic
2C13×#2383C211yesmaximal, characteristic, complemented
3C13×#2382C211yesmaximal, characteristic, complemented
4C13×#2378C211yesmaximal, characteristic, complemented
5C13×#2376C211yesmaximal, characteristic
6C13×#2374C211yesmaximal, characteristic
7C13×#2373C211yesmaximal, characteristic, complemented
8C13×#2371C211yesmaximal, characteristic, complemented
9C13×#2370C211yesmaximal, characteristic, complemented
10C13×#2368C211yesmaximal, characteristic, complemented
11C13×#2357C211yesmaximal, characteristic
12C13×#2355C211yesmaximal, characteristic, complemented
13C13×#2347C211yesmaximal, characteristic, complemented
14C13×#2346C211yesmaximal, characteristic, complemented
15C13×#2345C211yesmaximal, characteristic, complemented
16C13×#2343C211yesmaximal, characteristic, complemented
17C13×#2336C211yesmaximal, characteristic, complemented
18C13×#2336C211yesmaximal, characteristic, complemented
19C13×#2335C211yesmaximal, characteristic
20C13×#2335C211yesmaximal, characteristic
21C13×#2334C211yesmaximal, characteristic, complemented
22C13×#2334C211yesmaximal, characteristic, complemented
23C13×#2332C211yesmaximal, characteristic, complemented
24C13×#2332C211yesmaximal, characteristic, complemented
25C13×#2320C211yesmaximal, characteristic, complemented
26C13×#2318C211yesmaximal, characteristic
27C13×#2314C211yesmaximal, characteristic, complemented
28C13×#2313C211yesmaximal, characteristic, complemented
29C4×C13×#125C211yesmaximal, characteristic, complemented
30C13×#2298C211yesmaximal, characteristic, complemented
31C13×#2298C211yesmaximal, characteristic, complemented
32C13×#552C4116yescomplemented
33C2×C13×#126C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic
35C2×C13×#125C2211yescharacteristic
36C2×C13×#125C2211yescharacteristic
37C2×C13×#125C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic
39C2×C13×#123C2211yescharacteristic
40C2×C13×C22⋊Q8C2211yescharacteristic
41C2×C13×C22⋊Q8C2211yescharacteristic
42C2×C4×Q8×C13C2211yescharacteristic
43C2×C4×D4×C13C2211yescharacteristic
44C2×C13×#117C2211yescharacteristic
45C2×C13×#117C2211yescharacteristic
46C2×C13×#117C2211yescharacteristic
47C22×C13×C4⋊C4C2211yescharacteristic
48C13×#391C2211yescharacteristic
49C13×#391C2211yescharacteristic
50C13×#391C2211yescharacteristic
51C13×#391C2211yescharacteristic
52C13×#390C2211yescharacteristic
53C13×#390C2211yescharacteristic
54C13×#389C2211yescharacteristic
55C13×#389C2211yescharacteristic
56C13×#389C2211yescharacteristic
57C13×#389C2211yescharacteristic
58C13×#389C2211yescharacteristic
59C13×#389C2211yescharacteristic
60C13×#389C2211yescharacteristic
61C13×#389C2211yescharacteristic
62C13×#389C2211yescharacteristic
63C13×#389C2211yescharacteristic
64C13×#389C2211yescharacteristic
65C13×#389C2211yescharacteristic
66C13×#388C2211yescharacteristic
67C13×#388C2211yescharacteristic
68C13×#388C2211yescharacteristic
69C13×#388C2211yescharacteristic
70C13×#388C2211yescharacteristic
71C13×#388C2211yescharacteristic
72C13×#388C2211yescharacteristic
73C13×#388C2211yescharacteristic
74C13×#388C2211yescharacteristic
75C13×#388C2211yescharacteristic
76C13×#388C2211yescharacteristic
77C13×#388C2211yescharacteristic
78C13×#388C2211yescharacteristic
79C13×#388C2211yescharacteristic
80C13×#388C2211yescharacteristic
81C13×#388C2211yescharacteristic
82C13×#388C2211yescharacteristic
83C13×#388C2211yescharacteristic
84C13×#388C2211yescharacteristic
85C13×#388C2211yescharacteristic
86C13×#388C2211yescharacteristic
87C13×#388C2211yescharacteristic
88C13×#387C2211yescharacteristic
89C13×#387C2211yescharacteristic
90C13×#387C2211yescharacteristic
91C13×#387C2211yescharacteristic
92C13×#387C2211yescharacteristic
93C13×#387C2211yescharacteristic
94C13×#387C2211yescharacteristic
95C13×#387C2211yescharacteristic
96C13×#387C2211yescharacteristic
97C13×#387C2211yescharacteristic
98C13×#387C2211yescharacteristic
99C13×#387C2211yescharacteristic
100C13×#387C2211yescharacteristic
101C13×#387C2211yescharacteristic
102C13×#387C2211yescharacteristic
103C13×#387C2211yescharacteristic
104C13×#387C2211yescharacteristic
105C13×#387C2211yescharacteristic
106C13×#387C2211yescharacteristic
107C13×#387C2211yescharacteristic
108C13×#387C2211yescharacteristic
109C13×#387C2211yescharacteristic
110C13×#387C2211yescharacteristic
111C13×#387C2211yescharacteristic
112C13×#387C2211yescharacteristic
113C13×#387C2211yescharacteristic
114C13×#387C2211yescharacteristic
115C13×#387C2211yescharacteristic
116C13×#387C2211yescharacteristic
117C13×#387C2211yescharacteristic
118C13×#387C2211yescharacteristic
119C13×#387C2211yescharacteristic
120C13×#387C2211yescharacteristic
121C13×#387C2211yescharacteristic
122C13×#387C2211yescharacteristic
123C13×#387C2211yescharacteristic
124C13×#387C2211yescharacteristic
125C13×#387C2211yescharacteristic
126C13×#386C2211yescharacteristic
127C13×#386C2211yescharacteristic
128C13×#385C2211yescharacteristic
129C13×#385C2211yescharacteristic
130C13×#385C2211yescharacteristic
131C13×#385C2211yescharacteristic
132C13×#385C2211yescharacteristic
133C13×#385C2211yescharacteristic
134C13×#384C2211yescharacteristic
135C13×#383C2211yescharacteristic
136C13×#383C2211yescharacteristic
137C13×#383C2211yescharacteristic
138C13×#382C2211yescharacteristic
139C13×#382C2211yescharacteristic
140C13×#382C2211yescharacteristic
141C13×#382C2211yescharacteristic
142C13×#382C2211yescharacteristic
143C13×#381C2211yescharacteristic
144C13×#381C2211yescharacteristic
145C13×#381C2211yescharacteristic
146C13×#380C2211yescharacteristic
147C13×#380C2211yescharacteristic
148C13×#380C2211yescharacteristic
149C13×#380C2211yescharacteristic
150C13×#380C2211yescharacteristic
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×C4⋊C4C2211yescharacteristic
170C4×C13×C4⋊C4C2211yescharacteristic
171C4×C13×C4⋊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
184C13×#376C2211yescharacteristic
185C13×#376C2211yescharacteristic
186C2×C13×#95C2211yescharacteristic
187C43×C13C2211yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C13×#126C2×C418yes—
197C13×#126C2×C418yes—
198C13×#125C2×C418yescomplemented
199C13×#125C2×C418yescomplemented
200C13×#125C2×C418yescomplemented
201C13×#123C2×C418yes—
202C13×#123C2×C418yes—
203C13×C22⋊Q8C2×C418yes—
204C13×C22⋊Q8C2×C418yescomplemented
205C4×Q8×C13C2×C418yescomplemented
206C4×D4×C13C2×C418yes—
207C13×#117C2×C418yes—
208C13×#117C2×C418yescomplemented
209C13×#117C2×C418yescomplemented
210C2×C13×C4⋊C4C2×C418yescomplemented
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×C42×C13C2311yescharacteristic
274C2×C42×C13C2311yescharacteristic
275C2×C42×C13C2311yescharacteristic
276C2×C42×C13C2311yescharacteristic
277C2×C42×C13C2311yescharacteristic
278C2×C42×C13C2311yescharacteristic
279C2×C42×C13C2311yescharacteristic
280C2×C42×C13C2311yescharacteristic
281C2×C42×C13C2311yescharacteristic
282C2×C42×C13C2311yescharacteristic
283C2×C42×C13C2311yescharacteristic
284C2×C42×C13C2311yescharacteristic
285C2×C42×C13C2311yescharacteristic
286C2×C42×C13C2311yescharacteristic
287C2×C42×C13C2311yescharacteristic
288C2×C42×C13C2311yescharacteristic
289C2×C42×C13C2311yescharacteristic
290C2×C42×C13C2311yescharacteristic
291C2×C42×C13C2311yescharacteristic
292C2×C42×C13C2311yescharacteristic
293C2×C42×C13C2311yescharacteristic
294C2×C42×C13C2311yescharacteristic
295C2×C42×C13C2311yescharacteristic
296C2×C42×C13C2311yescharacteristic
297C2×C42×C13C2311yescharacteristic
298C2×C42×C13C2311yescharacteristic
299C2×C42×C13C2311yescharacteristic
300C2×C42×C13C2311yescharacteristic
301C2×C42×C13C2311yescharacteristic
302C13×#95C2311yescharacteristic
303C13×#95C2311yescharacteristic
304C13×#95C2311yescharacteristic
305C13×#95C2311yescharacteristic
306C13×#95C2311yescharacteristic
307C13×#95C2311yescharacteristic
308C13×#95C2311yescharacteristic
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311C13×#95C2311yescharacteristic
312C13×#95C2311yescharacteristic
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
315C13×#95C2311yescharacteristic
316C13×#95C2311yescharacteristic
317C13×#95C2311yescharacteristic
318C13×#95C2311yescharacteristic
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358#34501C1311yesmaximal, characteristic, direct product factor, Sylow
359C24×C13C2411yescharacteristic
360C24×C13C2411yescharacteristic
361C2×Q8×C13—41no—
362C2×Q8×C13—41no—
363C2×Q8×C13C22×C414yes—
364C2×D4×C13—41no—
365C2×D4×C13—41no—
366C2×D4×C13C22×C414yes—
367C22×C4×C13—41no—
368C22×C4×C13—41no—
369C22×C4×C13—41no—
370C22×C4×C13—41no—
371C22×C4×C13—41no—
372C22×C4×C13—41no—
373C22×C4×C13—41no—
374C22×C4×C13—41no—
375C22×C4×C13—41no—
376C22×C4×C13—41no—
377C22×C4×C13—41no—
378C22×C4×C13—41no—
379C22×C4×C13—41no—
380C22×C4×C13—41no—
381C22×C4×C13C22×C414yes—
382C22×C4×C13C22×C414yes—
383C22×C4×C13C22×C414yes—
384C22×C4×C13C22×C414yes—
385C22×C4×C13C2411yescharacteristic
386C22×C4×C13C2411yescharacteristic
387C22×C4×C13C2411yescharacteristic
388C22×C4×C13C2411yescharacteristic
389C22×C4×C13C2411yescharacteristic
390C22×C4×C13C2411yescharacteristic
391C22×C4×C13C2411yescharacteristic
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
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
414C13×C4⋊C4—22no—
415C13×C4⋊C4—22no—
416C13×C4⋊C4—41no—
417C13×C4⋊C4—41no—
418C13×C4⋊C4—41no—
419C13×C4⋊C4—41no—
420C13×C4⋊C4—41no—
421C13×C4⋊C4—41no—
422C13×C4⋊C4—41no—
423C13×C4⋊C4—41no—
424C13×C4⋊C4—41no—
425C13×C4⋊C4—41no—
426C13×C4⋊C4—41no—
427C13×C4⋊C4—41no—
428C13×C4⋊C4—41no—
429C13×C4⋊C4—41no—
430C13×C4⋊C4—41no—
431C13×C4⋊C4—41no—
432C13×C4⋊C4—41no—
433C13×C4⋊C4—41no—
434C13×C4⋊C4—41no—
435C13×C4⋊C4—41no—
436C13×C4⋊C4—41no—
437C13×C4⋊C4—41no—
438C13×C4⋊C4C22×C414yes—
439C13×C4⋊C4C22×C414yes—
440C13×C4⋊C4C22×C414yes—
441C13×C4⋊C4C22×C414yes—
442C13×C4⋊C4C22×C414yes—
443C13×C4⋊C4C22×C414yes—
444C13×C4⋊C4C22×C414yes—
445C13×C4⋊C4C22×C414yes—
446C13×C4⋊C4C22×C414yes—
447C13×C4⋊C4C22×C414yes—
448C13×C4⋊C4C22×C414yes—
449C13×C4⋊C4C22×C414yes—
450C13×C4⋊C4C22×C414yes—
451C13×C4⋊C4C22×C414yes—
452C13×C4⋊C4C22×C414yes—
453C13×C4⋊C4C22×C414yes—
454C13×C22⋊C4—22no—
455C13×C22⋊C4—22no—
456C13×C22⋊C4—41no—
457C13×C22⋊C4—41no—
458C13×C22⋊C4—41no—
459C13×C22⋊C4—41no—
460C13×C22⋊C4—41no—
461C13×C22⋊C4—41no—
462C13×C22⋊C4—41no—
463C13×C22⋊C4—41no—
464C13×C22⋊C4—41no—
465C13×C22⋊C4—41no—
466C13×C22⋊C4—41no—
467C13×C22⋊C4—41no—
468C13×C22⋊C4C22×C414yes—
469C13×C22⋊C4C22×C414yes—
470C13×C22⋊C4C22×C414yes—
471C13×C22⋊C4C22×C414yes—
472C13×C22⋊C4C22×C414yes—
473C13×C22⋊C4C22×C414yes—
474C13×C22⋊C4C22×C414yes—
475C13×C22⋊C4C22×C414yes—
476C42×C13—22no—
477C42×C13—41no—
478C42×C13—41no—
479C42×C13—41no—
480C42×C13—41no—
481C42×C13—41no—
482C42×C13—41no—
483C42×C13—41no—
484C42×C13—41no—
485C42×C13—41no—
486C42×C13—41no—
487C42×C13—41no—
488C42×C13—41no—
489C42×C13—41no—
490C42×C13—41no—
491C42×C13—41no—
492C42×C13—41no—
493C42×C13—41no—
494C42×C13—41no—
495C42×C13—41no—
496C42×C13—41no—
497C42×C13—41no—
498C42×C13—41no—
499C42×C13—41no—
500C42×C13C22×C414yes—
501C42×C13C22×C414yes—
502C42×C13C22×C414yes—
503C42×C13C22×C414yes—
504C42×C13C22×C414yes—
505C2×#552C2×C1311yescharacteristic
506#2383C2×C1311yescharacteristic, complemented
507#2382C2×C1311yescharacteristic, complemented
508#2378C2×C1311yescharacteristic, complemented
509#2376C2×C1311yescharacteristic
510#2374C2×C1311yescharacteristic
511#2373C2×C1311yescharacteristic, complemented
512#2371C2×C1311yescharacteristic, complemented
513#2370C2×C1311yescharacteristic, complemented
514#2368C2×C1311yescharacteristic, complemented
515#2357C2×C1311yescharacteristic
516#2355C2×C1311yescharacteristic, complemented
517#2347C2×C1311yescharacteristic, complemented
518#2346C2×C1311yescharacteristic, complemented
519#2345C2×C1311yescharacteristic, complemented
520#2343C2×C1311yescharacteristic, complemented
521#2336C2×C1311yescharacteristic, complemented
522#2336C2×C1311yescharacteristic, complemented
523#2335C2×C1311yescharacteristic
524#2335C2×C1311yescharacteristic
525#2334C2×C1311yescharacteristic, complemented
526#2334C2×C1311yescharacteristic, complemented
527#2332C2×C1311yescharacteristic, complemented
528#2332C2×C1311yescharacteristic, complemented
529#2320C2×C1311yescharacteristic, complemented
530#2318C2×C1311yescharacteristic
531#2314C2×C1311yescharacteristic, complemented
532#2313C2×C1311yescharacteristic, complemented
533C4×#125C2×C1311yescharacteristic, complemented
534#2298C2×C1311yescharacteristic, complemented
535#2298C2×C1311yescharacteristic, complemented
536C23×C13—21no—
537C23×C13—21no—
538C23×C13—21no—
539C23×C13—21no—
540C23×C13—21no—
541C23×C13—21no—
542C23×C13—21no—
543C23×C13—21no—
544C23×C13—21no—
545C23×C13—21no—
546C23×C13—21no—
547C23×C13—21no—
548C23×C13C23×C412yes—
549C23×C13C23×C412yes—
550C23×C13C2511yescharacteristic
551Q8×C13—44no—
552D4×C13—44no—
553C2×C4×C13—21no—
554C2×C4×C13—21no—
555C2×C4×C13—21no—
556C2×C4×C13—21no—
557C2×C4×C13—21no—
558C2×C4×C13—21no—
559C2×C4×C13—21no—
560C2×C4×C13—21no—
561C2×C4×C13—21no—
562C2×C4×C13—21no—
563C2×C4×C13—21no—
564C2×C4×C13—21no—
565C2×C4×C13—21no—
566C2×C4×C13—21no—
567C2×C4×C13—21no—
568C2×C4×C13—21no—
569C2×C4×C13—21no—
570C2×C4×C13—21no—
571C2×C4×C13—21no—
572C2×C4×C13—21no—
573C2×C4×C13—21no—
574C2×C4×C13—21no—
575C2×C4×C13—21no—
576C2×C4×C13—21no—
577C2×C4×C13—21no—
578C2×C4×C13—21no—
579C2×C4×C13—21no—
580C2×C4×C13—21no—
581C2×C4×C13—21no—
582C2×C4×C13—21no—
583C2×C4×C13—21no—
584C2×C4×C13—21no—
585C2×C4×C13—21no—
586C2×C4×C13—21no—
587C2×C4×C13—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—44no—
627C2×C4×C13—44no—
628C2×C4×C13—44no—
629C2×C4×C13—44no—
630C2×C4×C13—82no—
631C2×C4×C13—82no—
632C2×C4×C13C23×C412yes—
633C2×C4×C13C23×C412yes—
634C2×C4×C13C23×C412yes—
635C2×C4×C13C23×C412yes—
636C2×C4×C13C23×C412yes—
637C2×C4×C13C23×C412yes—
638C2×C4×C13C23×C412yes—
639C2×C4×C13C23×C412yes—
640C2×C4×C13C23×C412yes—
641C2×C4×C13C23×C412yes—
642C2×C4×C13C23×C412yes—
643C2×C4×C13C23×C412yes—
644C2×C4×C13C23×C412yes—
645C2×C4×C132−1+412yes—
646#552C4×C13116yescomplemented
647C2×#126C22×C1311yescharacteristic
648C2×#126C22×C1311yescharacteristic
649C2×#125C22×C1311yescharacteristic
650C2×#125C22×C1311yescharacteristic
651C2×#125C22×C1311yescharacteristic
652C2×#123C22×C1311yescharacteristic
653C2×#123C22×C1311yescharacteristic
654C2×C22⋊Q8C22×C1311yescharacteristic
655C2×C22⋊Q8C22×C1311yescharacteristic
656C2×C4×Q8C22×C1311yescharacteristic
657C2×C4×D4C22×C1311yescharacteristic
658C2×#117C22×C1311yescharacteristic
659C2×#117C22×C1311yescharacteristic
660C2×#117C22×C1311yescharacteristic
661C22×C4⋊C4C22×C1311yescharacteristic
662#391C22×C1311yescharacteristic
663#391C22×C1311yescharacteristic
664#391C22×C1311yescharacteristic
665#391C22×C1311yescharacteristic
666#390C22×C1311yescharacteristic
667#390C22×C1311yescharacteristic
668#389C22×C1311yescharacteristic
669#389C22×C1311yescharacteristic
670#389C22×C1311yescharacteristic
671#389C22×C1311yescharacteristic
672#389C22×C1311yescharacteristic
673#389C22×C1311yescharacteristic
674#389C22×C1311yescharacteristic
675#389C22×C1311yescharacteristic
676#389C22×C1311yescharacteristic
677#389C22×C1311yescharacteristic
678#389C22×C1311yescharacteristic
679#389C22×C1311yescharacteristic
680#388C22×C1311yescharacteristic
681#388C22×C1311yescharacteristic
682#388C22×C1311yescharacteristic
683#388C22×C1311yescharacteristic
684#388C22×C1311yescharacteristic
685#388C22×C1311yescharacteristic
686#388C22×C1311yescharacteristic
687#388C22×C1311yescharacteristic
688#388C22×C1311yescharacteristic
689#388C22×C1311yescharacteristic
690#388C22×C1311yescharacteristic
691#388C22×C1311yescharacteristic
692#388C22×C1311yescharacteristic
693#388C22×C1311yescharacteristic
694#388C22×C1311yescharacteristic
695#388C22×C1311yescharacteristic
696#388C22×C1311yescharacteristic
697#388C22×C1311yescharacteristic
698#388C22×C1311yescharacteristic
699#388C22×C1311yescharacteristic
700#388C22×C1311yescharacteristic
701#388C22×C1311yescharacteristic
702#387C22×C1311yescharacteristic
703#387C22×C1311yescharacteristic
704#387C22×C1311yescharacteristic
705#387C22×C1311yescharacteristic
706#387C22×C1311yescharacteristic
707#387C22×C1311yescharacteristic
708#387C22×C1311yescharacteristic
709#387C22×C1311yescharacteristic
710#387C22×C1311yescharacteristic
711#387C22×C1311yescharacteristic
712#387C22×C1311yescharacteristic
713#387C22×C1311yescharacteristic
714#387C22×C1311yescharacteristic
715#387C22×C1311yescharacteristic
716#387C22×C1311yescharacteristic
717#387C22×C1311yescharacteristic
718#387C22×C1311yescharacteristic
719#387C22×C1311yescharacteristic
720#387C22×C1311yescharacteristic
721#387C22×C1311yescharacteristic
722#387C22×C1311yescharacteristic
723#387C22×C1311yescharacteristic
724#387C22×C1311yescharacteristic
725#387C22×C1311yescharacteristic
726#387C22×C1311yescharacteristic
727#387C22×C1311yescharacteristic
728#387C22×C1311yescharacteristic
729#387C22×C1311yescharacteristic
730#387C22×C1311yescharacteristic
731#387C22×C1311yescharacteristic
732#387C22×C1311yescharacteristic
733#387C22×C1311yescharacteristic
734#387C22×C1311yescharacteristic
735#387C22×C1311yescharacteristic
736#387C22×C1311yescharacteristic
737#387C22×C1311yescharacteristic
738#387C22×C1311yescharacteristic
739#387C22×C1311yescharacteristic
740#386C22×C1311yescharacteristic
741#386C22×C1311yescharacteristic
742#385C22×C1311yescharacteristic
743#385C22×C1311yescharacteristic
744#385C22×C1311yescharacteristic
745#385C22×C1311yescharacteristic
746#385C22×C1311yescharacteristic
747#385C22×C1311yescharacteristic
748#384C22×C1311yescharacteristic
749#383C22×C1311yescharacteristic
750#383C22×C1311yescharacteristic
751#383C22×C1311yescharacteristic
752#382C22×C1311yescharacteristic
753#382C22×C1311yescharacteristic
754#382C22×C1311yescharacteristic
755#382C22×C1311yescharacteristic
756#382C22×C1311yescharacteristic
757#381C22×C1311yescharacteristic
758#381C22×C1311yescharacteristic
759#381C22×C1311yescharacteristic
760#380C22×C1311yescharacteristic
761#380C22×C1311yescharacteristic
762#380C22×C1311yescharacteristic
763#380C22×C1311yescharacteristic
764#380C22×C1311yescharacteristic
765C4×C4⋊C4C22×C1311yescharacteristic
766C4×C4⋊C4C22×C1311yescharacteristic
767C4×C4⋊C4C22×C1311yescharacteristic
768C4×C4⋊C4C22×C1311yescharacteristic
769C4×C4⋊C4C22×C1311yescharacteristic
770C4×C4⋊C4C22×C1311yescharacteristic
771C4×C4⋊C4C22×C1311yescharacteristic
772C4×C4⋊C4C22×C1311yescharacteristic
773C4×C4⋊C4C22×C1311yescharacteristic
774C4×C4⋊C4C22×C1311yescharacteristic
775C4×C4⋊C4C22×C1311yescharacteristic
776C4×C4⋊C4C22×C1311yescharacteristic
777C4×C4⋊C4C22×C1311yescharacteristic
778C4×C4⋊C4C22×C1311yescharacteristic
779C4×C4⋊C4C22×C1311yescharacteristic
780C4×C4⋊C4C22×C1311yescharacteristic
781C4×C4⋊C4C22×C1311yescharacteristic
782C4×C4⋊C4C22×C1311yescharacteristic
783C4×C4⋊C4C22×C1311yescharacteristic
784C4×C4⋊C4C22×C1311yescharacteristic
785C4×C4⋊C4C22×C1311yescharacteristic
786C4×C22⋊C4C22×C1311yescharacteristic
787C4×C22⋊C4C22×C1311yescharacteristic
788C4×C22⋊C4C22×C1311yescharacteristic
789C4×C22⋊C4C22×C1311yescharacteristic
790C4×C22⋊C4C22×C1311yescharacteristic
791C4×C22⋊C4C22×C1311yescharacteristic
792C4×C22⋊C4C22×C1311yescharacteristic
793C4×C22⋊C4C22×C1311yescharacteristic
794C4×C22⋊C4C22×C1311yescharacteristic
795C4×C22⋊C4C22×C1311yescharacteristic
796C4×C22⋊C4C22×C1311yescharacteristic
797#376C22×C1311yescharacteristic
798#376C22×C1311yescharacteristic
799#376C22×C1311yescharacteristic
800C2×#95C22×C1311yescharacteristic
801C43C22×C1311yescharacteristic
802C22×C13—22no—
803C22×C13—22no—
804C22×C13—22no—
805C22×C13—22no—
806C22×C13—22no—
807C22×C13—22no—
808C22×C13—41no—
809C22×C13—41no—
810C22×C13—41no—
811C22×C13—41no—
812C22×C13—41no—
813C22×C13—41no—
814C22×C13—41no—
815C22×C13—41no—
816C22×C13C24×C411yescharacteristic
817C22×C13C2×2−1+411yescharacteristic
818C22×C13#58511yescharacteristic
819C22×C13#58511yescharacteristic
820C22×C13#58511yescharacteristic
821C22×C13#58511yescharacteristic
822C22×C13#58511yescharacteristic
823C4×C13—22no—
824C4×C13—22no—
825C4×C13—22no—
826C4×C13—22no—
827C4×C13—22no—
828C4×C13—22no—
829C4×C13—22no—
830C4×C13—22no—
831C4×C13—22no—
832C4×C13—22no—
833C4×C13—22no—
834C4×C13—22no—
835C4×C13—22no—
836C4×C13—22no—
837C4×C13—41no—
838C4×C13—41no—
839C4×C13—41no—
840C4×C13—41no—
841C4×C13—41no—
842C4×C13—41no—
843C4×C13—41no—
844C4×C13—41no—
845C4×C13—41no—
846C4×C13—41no—
847C4×C13—41no—
848C4×C13—41no—
849C4×C13—41no—
850C4×C13—41no—
851C4×C13—41no—
852C22×Q8C23×C1311yescharacteristic
853C22×D4C23×C1311yescharacteristic
854C23×C4C23×C1311yescharacteristic
855C23×C4C23×C1311yescharacteristic
856C23×C4C23×C1311yescharacteristic
857C23×C4C23×C1311yescharacteristic
858C23×C4C23×C1311yescharacteristic
859C23×C4C23×C1311yescharacteristic
860#126C2×C4×C1318yes—
861#126C2×C4×C1318yes—
862#125C2×C4×C1318yescomplemented
863#125C2×C4×C1318yescomplemented
864#125C2×C4×C1318yescomplemented
865#123C2×C4×C1318yes—
866#123C2×C4×C1318yes—
867C22⋊Q8C2×C4×C1318yes—
868C22⋊Q8C2×C4×C1318yescomplemented
869C4×Q8C2×C4×C1318yescomplemented
870C4×D4C2×C4×C1318yes—
871#117C2×C4×C1318yes—
872#117C2×C4×C1318yescomplemented
873#117C2×C4×C1318yescomplemented
874C2×C4⋊C4C2×C4×C1318yescomplemented
875C2×C4⋊C4C23×C1311yescharacteristic
876C2×C4⋊C4C23×C1311yescharacteristic
877C2×C4⋊C4C23×C1311yescharacteristic
878C2×C4⋊C4C23×C1311yescharacteristic
879C2×C4⋊C4C23×C1311yescharacteristic
880C2×C4⋊C4C23×C1311yescharacteristic
881C2×C4⋊C4C23×C1311yescharacteristic
882C2×C4⋊C4C23×C1311yescharacteristic
883C2×C4⋊C4C23×C1311yescharacteristic
884C2×C4⋊C4C23×C1311yescharacteristic
885C2×C4⋊C4C23×C1311yescharacteristic
886C2×C4⋊C4C23×C1311yescharacteristic
887C2×C4⋊C4C23×C1311yescharacteristic
888C2×C4⋊C4C23×C1311yescharacteristic
889C2×C4⋊C4C23×C1311yescharacteristic
890C2×C4⋊C4C23×C1311yescharacteristic
891C2×C4⋊C4C23×C1311yescharacteristic
892C2×C4⋊C4C23×C1311yescharacteristic
893C2×C4⋊C4C23×C1311yescharacteristic
894C2×C4⋊C4C23×C1311yescharacteristic
895C2×C4⋊C4C23×C1311yescharacteristic
896C2×C4⋊C4C23×C1311yescharacteristic
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×C22⋊C4C23×C1311yescharacteristic
916C2×C22⋊C4C23×C1311yescharacteristic
917C2×C22⋊C4C23×C1311yescharacteristic
918C2×C22⋊C4C23×C1311yescharacteristic
919C2×C22⋊C4C23×C1311yescharacteristic
920C2×C22⋊C4C23×C1311yescharacteristic
921C2×C22⋊C4C23×C1311yescharacteristic
922C2×C22⋊C4C23×C1311yescharacteristic
923C2×C22⋊C4C23×C1311yescharacteristic
924C2×C22⋊C4C23×C1311yescharacteristic
925C2×C22⋊C4C23×C1311yescharacteristic
926C2×C22⋊C4C23×C1311yescharacteristic
927C2×C22⋊C4C23×C1311yescharacteristic
928C2×C22⋊C4C23×C1311yescharacteristic
929C2×C22⋊C4C23×C1311yescharacteristic
930C2×C22⋊C4C23×C1311yescharacteristic
931C2×C22⋊C4C23×C1311yescharacteristic
932C2×C22⋊C4C23×C1311yescharacteristic
933C2×C22⋊C4C23×C1311yescharacteristic
934C2×C22⋊C4C23×C1311yescharacteristic
935C2×C22⋊C4C23×C1311yescharacteristic
936C2×C22⋊C4C23×C1311yescharacteristic
937C2×C42C23×C1311yescharacteristic
938C2×C42C23×C1311yescharacteristic
939C2×C42C23×C1311yescharacteristic
940C2×C42C23×C1311yescharacteristic
941C2×C42C23×C1311yescharacteristic
942C2×C42C23×C1311yescharacteristic
943C2×C42C23×C1311yescharacteristic
944C2×C42C23×C1311yescharacteristic
945C2×C42C23×C1311yescharacteristic
946C2×C42C23×C1311yescharacteristic
947C2×C42C23×C1311yescharacteristic
948C2×C42C23×C1311yescharacteristic
949C2×C42C23×C1311yescharacteristic
950C2×C42C23×C1311yescharacteristic
951C2×C42C23×C1311yescharacteristic
952C2×C42C23×C1311yescharacteristic
953C2×C42C23×C1311yescharacteristic
954C2×C42C23×C1311yescharacteristic
955C2×C42C23×C1311yescharacteristic
956C2×C42C23×C1311yescharacteristic
957C2×C42C23×C1311yescharacteristic
958C2×C42C23×C1311yescharacteristic
959C2×C42C23×C1311yescharacteristic
960C2×C42C23×C1311yescharacteristic
961C2×C42C23×C1311yescharacteristic
962C2×C42C23×C1311yescharacteristic
963C2×C42C23×C1311yescharacteristic
964C2×C42C23×C1311yescharacteristic
965C2×C42C23×C1311yescharacteristic
966#95C23×C1311yescharacteristic
967#95C23×C1311yescharacteristic
968#95C23×C1311yescharacteristic
969#95C23×C1311yescharacteristic
970#95C23×C1311yescharacteristic
971#95C23×C1311yescharacteristic
972#95C23×C1311yescharacteristic
973#95C23×C1311yescharacteristic
974#95C23×C1311yescharacteristic
975#95C23×C1311yescharacteristic
976#95C23×C1311yescharacteristic
977#95C23×C1311yescharacteristic
978#95C23×C1311yescharacteristic
979#95C23×C1311yescharacteristic
980#95C23×C1311yescharacteristic
981#95C23×C1311yescharacteristic
982#95C23×C1311yescharacteristic
983#95C23×C1311yescharacteristic
984#95C23×C1311yescharacteristic
985#95C23×C1311yescharacteristic
986#95C23×C1311yescharacteristic
987#95C23×C1311yescharacteristic
988#95C23×C1311yescharacteristic
989#95C23×C1311yescharacteristic
990#95C23×C1311yescharacteristic
991#95C23×C1311yescharacteristic
992#95C23×C1311yescharacteristic
993#95C23×C1311yescharacteristic
994#95C23×C1311yescharacteristic
995#95C23×C1311yescharacteristic
996#95C23×C1311yescharacteristic
997#95C23×C1311yescharacteristic
998#95C23×C1311yescharacteristic
999#95C23×C1311yescharacteristic
1000#95C23×C1311yescharacteristic
1001#95C23×C1311yescharacteristic
1002#95C23×C1311yescharacteristic
1003#95C23×C1311yescharacteristic
1004#95C23×C1311yescharacteristic
1005#95C23×C1311yescharacteristic
1006#95C23×C1311yescharacteristic
1007#95C23×C1311yescharacteristic
1008#95C23×C1311yescharacteristic
1009#95C23×C1311yescharacteristic
1010#95C23×C1311yescharacteristic
1011#95C23×C1311yescharacteristic
1012#95C23×C1311yescharacteristic
1013#95C23×C1311yescharacteristic
1014#95C23×C1311yescharacteristic
1015#95C23×C1311yescharacteristic
1016#95C23×C1311yescharacteristic
1017#95C23×C1311yescharacteristic
1018#95C23×C1311yescharacteristic
1019#95C23×C1311yescharacteristic
1020#95C23×C1311yescharacteristic
1021#95C23×C1311yescharacteristic
1022C2×C13—42no—
1023C2×C13—42no—
1024C2×C13#342811yescharacteristic
1025C2×C13#342811yescharacteristic
1026C2×C13C4×2−1+411yescharacteristic
1027C2×C13#355311yescharacteristic
1028C2×C13#355711yescharacteristic
1029C2×C13#356611yescharacteristic
1030C2×C13#356611yescharacteristic
1031C24C24×C1311yescharacteristic
1032C24C24×C1311yescharacteristic
1033C2×Q8—41no—
1034C2×Q8—41no—
1035C2×Q8C22×C4×C1314yes—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4C22×C4×C1314yes—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4C22×C4×C1314yes—
1054C22×C4C22×C4×C1314yes—
1055C22×C4C22×C4×C1314yes—
1056C22×C4C22×C4×C1314yes—
1057C22×C4C24×C1311yescharacteristic
1058C22×C4C24×C1311yescharacteristic
1059C22×C4C24×C1311yescharacteristic
1060C22×C4C24×C1311yescharacteristic
1061C22×C4C24×C1311yescharacteristic
1062C22×C4C24×C1311yescharacteristic
1063C22×C4C24×C1311yescharacteristic
1064C22×C4C24×C1311yescharacteristic
1065C22×C4C24×C1311yescharacteristic
1066C22×C4C24×C1311yescharacteristic
1067C22×C4C24×C1311yescharacteristic
1068C22×C4C24×C1311yescharacteristic
1069C22×C4C24×C1311yescharacteristic
1070C22×C4C24×C1311yescharacteristic
1071C22×C4C24×C1311yescharacteristic
1072C22×C4C24×C1311yescharacteristic
1073C22×C4C24×C1311yescharacteristic
1074C22×C4C24×C1311yescharacteristic
1075C22×C4C24×C1311yescharacteristic
1076C22×C4C24×C1311yescharacteristic
1077C22×C4C24×C1311yescharacteristic
1078C22×C4C24×C1311yescharacteristic
1079C22×C4C24×C1311yescharacteristic
1080C22×C4C24×C1311yescharacteristic
1081C22×C4C24×C1311yescharacteristic
1082C22×C4C24×C1311yescharacteristic
1083C22×C4C24×C1311yescharacteristic
1084C22×C4C24×C1311yescharacteristic
1085C22×C4C24×C1311yescharacteristic
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4C22×C4×C1314yes—
1111C4⋊C4C22×C4×C1314yes—
1112C4⋊C4C22×C4×C1314yes—
1113C4⋊C4C22×C4×C1314yes—
1114C4⋊C4C22×C4×C1314yes—
1115C4⋊C4C22×C4×C1314yes—
1116C4⋊C4C22×C4×C1314yes—
1117C4⋊C4C22×C4×C1314yes—
1118C4⋊C4C22×C4×C1314yes—
1119C4⋊C4C22×C4×C1314yes—
1120C4⋊C4C22×C4×C1314yes—
1121C4⋊C4C22×C4×C1314yes—
1122C4⋊C4C22×C4×C1314yes—
1123C4⋊C4C22×C4×C1314yes—
1124C4⋊C4C22×C4×C1314yes—
1125C4⋊C4C22×C4×C1314yes—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4C22×C4×C1314yes—
1141C22⋊C4C22×C4×C1314yes—
1142C22⋊C4C22×C4×C1314yes—
1143C22⋊C4C22×C4×C1314yes—
1144C22⋊C4C22×C4×C1314yes—
1145C22⋊C4C22×C4×C1314yes—
1146C22⋊C4C22×C4×C1314yes—
1147C22⋊C4C22×C4×C1314yes—
1148C42—22no—
1149C42—41no—
1150C42—41no—
1151C42—41no—
1152C42—41no—
1153C42—41no—
1154C42—41no—
1155C42—41no—
1156C42—41no—
1157C42—41no—
1158C42—41no—
1159C42—41no—
1160C42—41no—
1161C42—41no—
1162C42—41no—
1163C42—41no—
1164C42—41no—
1165C42—41no—
1166C42—41no—
1167C42—41no—
1168C42—41no—
1169C42—41no—
1170C42—41no—
1171C42—41no—
1172C42C22×C4×C1314yes—
1173C42C22×C4×C1314yes—
1174C42C22×C4×C1314yes—
1175C42C22×C4×C1314yes—
1176C42C22×C4×C1314yes—
1177C13#3450111yescharacteristic, direct product factor, Sylow
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23C23×C4×C1312yes—
1191C23C23×C4×C1312yes—
1192C23C25×C1311yescharacteristic
1193Q8—44no—
1194D4—44no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
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—21no—
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—44no—
1269C2×C4—44no—
1270C2×C4—44no—
1271C2×C4—44no—
1272C2×C4—82no—
1273C2×C4—82no—
1274C2×C4C23×C4×C1312yes—
1275C2×C4C23×C4×C1312yes—
1276C2×C4C23×C4×C1312yes—
1277C2×C4C23×C4×C1312yes—
1278C2×C4C23×C4×C1312yes—
1279C2×C4C23×C4×C1312yes—
1280C2×C4C23×C4×C1312yes—
1281C2×C4C23×C4×C1312yes—
1282C2×C4C23×C4×C1312yes—
1283C2×C4C23×C4×C1312yes—
1284C2×C4C23×C4×C1312yes—
1285C2×C4C23×C4×C1312yes—
1286C2×C4C23×C4×C1312yes—
1287C2×C4C13×2−1+412yes—
1288C22—22no—
1289C22—22no—
1290C22—22no—
1291C22—22no—
1292C22—22no—
1293C22—22no—
1294C22—41no—
1295C22—41no—
1296C22—41no—
1297C22—41no—
1298C22—41no—
1299C22—41no—
1300C22—41no—
1301C22—41no—
1302C22C24×C4×C1311yescharacteristic
1303C22C2×C13×2−1+411yescharacteristic
1304C22C13×#58511yescharacteristic
1305C22C13×#58511yescharacteristic
1306C22C13×#58511yescharacteristic
1307C22C13×#58511yescharacteristic
1308C22C13×#58511yescharacteristic
1309C4—22no—
1310C4—22no—
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—22no—
1316C4—22no—
1317C4—22no—
1318C4—22no—
1319C4—22no—
1320C4—22no—
1321C4—22no—
1322C4—22no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C2—42no—
1339C2—42no—
1340C2C13×#342811yescharacteristic
1341C2C13×#342811yescharacteristic
1342C2C4×C13×2−1+411yescharacteristic
1343C2C13×#355311yescharacteristic
1344C2C13×#355711yescharacteristic
1345C2C13×#356611yescharacteristic
1346C2C13×#356611yescharacteristic
subgroupG/H
center, socleC23×C13C25
commutatorC22C24×C4×C13
Frattini, cosocleC23C25×C13
prime radicalC22×D4×C13C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C13×#2383C2semidirect
3. C13×#2382C2semidirect
4. C13×#2378C2semidirect
7. C13×#2373C2semidirect
8. C13×#2371C2semidirect
9. C13×#2370C2semidirect
10. C13×#2368C2semidirect
12. C13×#2355C2semidirect
13. C13×#2347C2semidirect
14. C13×#2346C2semidirect
15. C13×#2345C2semidirect
16. C13×#2343C2semidirect
17. C13×#2336C2semidirect
18. C13×#2336C2semidirect
21. C13×#2334C2semidirect
22. C13×#2334C2semidirect
23. C13×#2332C2semidirect
24. C13×#2332C2semidirect
25. C13×#2320C2semidirect
27. C13×#2314C2semidirect
28. C13×#2313C2semidirect
29. C4×C13×#125C2semidirect
30. C13×#2298C2semidirect
31. C13×#2298C2semidirect
32. C13×#552C4semidirect
198. C13×#125C2×C4semidirect
199. C13×#125C2×C4semidirect
200. C13×#125C2×C4semidirect
204. C13×C22⋊Q8C2×C4semidirect
205. C4×Q8×C13C2×C4semidirect
208. C13×#117C2×C4semidirect
209. C13×#117C2×C4semidirect
210. C2×C13×C4⋊C4C2×C4semidirect
358. #34501C13direct (N × H)
506. #2383C2×C13semidirect
507. #2382C2×C13semidirect
508. #2378C2×C13semidirect
511. #2373C2×C13semidirect
512. #2371C2×C13semidirect
513. #2370C2×C13semidirect
514. #2368C2×C13semidirect
516. #2355C2×C13semidirect
517. #2347C2×C13semidirect
518. #2346C2×C13semidirect
519. #2345C2×C13semidirect
520. #2343C2×C13semidirect
521. #2336C2×C13semidirect
522. #2336C2×C13semidirect
525. #2334C2×C13semidirect
526. #2334C2×C13semidirect
527. #2332C2×C13semidirect
528. #2332C2×C13semidirect
529. #2320C2×C13semidirect
531. #2314C2×C13semidirect
532. #2313C2×C13semidirect
533. C4×#125C2×C13semidirect
534. #2298C2×C13semidirect
535. #2298C2×C13semidirect
646. #552C4×C13semidirect
862. #125C2×C4×C13semidirect
863. #125C2×C4×C13semidirect
864. #125C2×C4×C13semidirect
868. C22⋊Q8C2×C4×C13semidirect
869. C4×Q8C2×C4×C13semidirect
872. #117C2×C4×C13semidirect
873. #117C2×C4×C13semidirect
874. C2×C4⋊C4C2×C4×C13semidirect
1177. C13#34501direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#5522
C13×#23832
C13×#23822
C13×#23782
C13×#23762
C13×#23742
C13×#23732
C13×#23712
C13×#23702
C13×#23682
C13×#23572
C13×#23552
C13×#23472
C13×#23462
C13×#23452
C13×#23432
C13×#23362
C13×#23352
C13×#23342
C13×#23322
C13×#23202
C13×#23182
C13×#23142
C13×#23132
C4×C13×#1252
C13×#22982
#3450113