Finite Group Databasebeta

← C13×#34741 #15721080

Subgroups — C13×#34741 #15721080

Order 3328.

2592 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#529C211yesmaximal, characteristic, complemented
2C2×C4×C13×#41C211yesmaximal, characteristic, complemented
3C13×#2469C211yesmaximal, characteristic, complemented
4C13×#2468C211yesmaximal, characteristic, complemented
5C13×#2467C211yesmaximal, characteristic, complemented
6C13×#2466C211yesmaximal, characteristic, complemented
7C13×#2465C211yesmaximal, characteristic, complemented
8C13×#2464C211yesmaximal, characteristic, complemented
9C13×#2463C211yesmaximal, characteristic, complemented
10C13×#2462C211yesmaximal, characteristic, complemented
11C13×#2461C211yesmaximal, characteristic, complemented
12C13×#2460C211yesmaximal, characteristic, complemented
13C13×#2459C211yesmaximal, characteristic, complemented
14C13×#2458C211yesmaximal, characteristic, complemented
15C13×#2457C211yesmaximal, characteristic, complemented
16C13×#2456C211yesmaximal, characteristic, complemented
17C13×#2456C211yesmaximal, characteristic, complemented
18C13×#2455C211yesmaximal, characteristic, complemented
19C13×#2396C211yesmaximal, characteristic, complemented
20C13×#2392C211yesmaximal, characteristic, complemented
21C13×#2388C211yesmaximal, characteristic, complemented
22C13×#2388C211yesmaximal, characteristic, complemented
23C4×C13×C22⋊Q8C211yesmaximal, characteristic, complemented
24C4×C13×#123C211yesmaximal, characteristic, complemented
25C4×C13×#123C211yesmaximal, characteristic, complemented
26C4×C13×#121C211yesmaximal, characteristic, complemented
27C13×#2298C211yesmaximal, characteristic, complemented
28C13×#2293C211yesmaximal, characteristic, complemented
29C13×#2290C211yesmaximal, characteristic, complemented
30C13×#2290C211yesmaximal, characteristic, complemented
31C42×D4×C13C211yesmaximal, characteristic, complemented
32C22×C13×#41C2211yescharacteristic
33C13×#529—28no—
34C2×C13×#126C2211yescharacteristic
35C2×C13×#126C2211yescharacteristic
36C2×C13×#125C2211yescharacteristic
37C2×C13×#124C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic
39C2×C13×#123C2211yescharacteristic
40C2×C13×#123C2211yescharacteristic
41C2×C13×#123C2211yescharacteristic
42C2×C13×C22⋊Q8C2211yescharacteristic
43C2×C13×C22⋊Q8C2211yescharacteristic
44C2×C13×#121C2211yescharacteristic
45C2×C13×#121C2211yescharacteristic
46C4×C13×#41—28no—
47C2×C4×Q8×C13C2211yescharacteristic
48C2×C4×Q8×C13C2211yescharacteristic
49C2×C4×Q8×C13C2211yescharacteristic
50C2×C4×D4×C13C2211yescharacteristic
51C2×C4×D4×C13C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic
53C2×C4×D4×C13C2211yescharacteristic
54C2×C4×D4×C13C2211yescharacteristic
55C2×C4×D4×C13C2211yescharacteristic
56C2×C4×D4×C13C2211yescharacteristic
57C2×C4×D4×C13C2211yescharacteristic
58C2×C4×D4×C13C2211yescharacteristic
59C2×C4×D4×C13C2211yescharacteristic
60C2×C4×D4×C13C2211yescharacteristic
61C2×C4×D4×C13C2211yescharacteristic
62C2×C4×D4×C13C2211yescharacteristic
63C2×C4×D4×C13C2211yescharacteristic
64C2×C4×D4×C13C2211yescharacteristic
65C2×C13×#117C2211yescharacteristic
66C2×C13×#117C2211yescharacteristic
67C2×C13×#117C2211yescharacteristic
68C2×C13×#117C2211yescharacteristic
69C22×C42×C13C2211yescharacteristic
70C22×C42×C13C2211yescharacteristic
71C22×C42×C13C2211yescharacteristic
72C22×C42×C13C2211yescharacteristic
73C13×#400C2211yescharacteristic
74C13×#399C2211yescharacteristic
75C13×#398C2211yescharacteristic
76C13×#398C2211yescharacteristic
77C13×#398C2211yescharacteristic
78C13×#397C2211yescharacteristic
79C13×#396C2211yescharacteristic
80C13×#396C2211yescharacteristic
81C13×#396C2211yescharacteristic
82C13×#396C2211yescharacteristic
83C13×#395C2211yescharacteristic
84C13×#395C2211yescharacteristic
85C13×#395C2211yescharacteristic
86C13×#394C2211yescharacteristic
87C13×#394C2211yescharacteristic
88C13×#394C2211yescharacteristic
89C13×#394C2211yescharacteristic
90C13×#394C2211yescharacteristic
91C13×#394C2211yescharacteristic
92C13×#394C2211yescharacteristic
93C13×#394C2211yescharacteristic
94C13×#394C2211yescharacteristic
95C13×#393C2211yescharacteristic
96C13×#393C2211yescharacteristic
97C13×#393C2211yescharacteristic
98C13×#392C2211yescharacteristic
99C13×#392C2211yescharacteristic
100C13×#392C2211yescharacteristic
101C13×#392C2211yescharacteristic
102C13×#392C2211yescharacteristic
103C13×#392C2211yescharacteristic
104C13×#392C2211yescharacteristic
105C13×#391C2211yescharacteristic
106C13×#390C2211yescharacteristic
107C13×#390C2211yescharacteristic
108C13×#390C2211yescharacteristic
109C13×#389C2211yescharacteristic
110C13×#389C2211yescharacteristic
111C13×#389C2211yescharacteristic
112C13×#389C2211yescharacteristic
113C13×#388C2211yescharacteristic
114C13×#388C2211yescharacteristic
115C13×#388C2211yescharacteristic
116C13×#388C2211yescharacteristic
117C13×#388C2211yescharacteristic
118C13×#388C2211yescharacteristic
119C13×#388C2211yescharacteristic
120C13×#388C2211yescharacteristic
121C13×#388C2211yescharacteristic
122C13×#388C2211yescharacteristic
123C13×#388C2211yescharacteristic
124C13×#388C2211yescharacteristic
125C13×#388C2211yescharacteristic
126C13×#388C2211yescharacteristic
127C13×#388C2211yescharacteristic
128C13×#388C2211yescharacteristic
129C13×#388C2211yescharacteristic
130C13×#388C2211yescharacteristic
131C13×#387C2211yescharacteristic
132C13×#387C2211yescharacteristic
133C13×#387C2211yescharacteristic
134C13×#387C2211yescharacteristic
135C13×#387C2211yescharacteristic
136C13×#387C2211yescharacteristic
137C13×#387C2211yescharacteristic
138C13×#387C2211yescharacteristic
139C13×#387C2211yescharacteristic
140C13×#387C2211yescharacteristic
141C13×#387C2211yescharacteristic
142C13×#387C2211yescharacteristic
143C13×#387C2211yescharacteristic
144C13×#387C2211yescharacteristic
145C13×#386C2211yescharacteristic
146C13×#386C2211yescharacteristic
147C13×#386C2211yescharacteristic
148C13×#386C2211yescharacteristic
149C13×#386C2211yescharacteristic
150C13×#386C2211yescharacteristic
151C13×#386C2211yescharacteristic
152C13×#386C2211yescharacteristic
153C13×#385C2211yescharacteristic
154C13×#385C2211yescharacteristic
155C13×#385C2211yescharacteristic
156C13×#385C2211yescharacteristic
157C13×#385C2211yescharacteristic
158C13×#385C2211yescharacteristic
159C13×#385C2211yescharacteristic
160C13×#385C2211yescharacteristic
161C13×#381C2211yescharacteristic
162C13×#381C2211yescharacteristic
163C13×#380C2211yescharacteristic
164C13×#380C2211yescharacteristic
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×C4⋊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
185C4×C13×C22⋊C4C2211yescharacteristic
186C4×C13×C22⋊C4C2211yescharacteristic
187C13×#376C2211yescharacteristic
188C43×C13C2211yescharacteristic
189C2×C13×#41—24no—
190C2×C13×#41—24no—
191C2×C13×#41—24no—
192C22×Q8×C13C2311yescharacteristic
193C22×Q8×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C22×D4×C13C2311yescharacteristic
199C22×D4×C13C2311yescharacteristic
200C22×D4×C13C2311yescharacteristic
201C22×D4×C13C2311yescharacteristic
202C22×D4×C13C2311yescharacteristic
203C22×D4×C13C2311yescharacteristic
204C23×C4×C13C2311yescharacteristic
205C23×C4×C13C2311yescharacteristic
206C23×C4×C13C2311yescharacteristic
207C23×C4×C13C2311yescharacteristic
208C23×C4×C13C2311yescharacteristic
209C23×C4×C13C2311yescharacteristic
210C23×C4×C13C2311yescharacteristic
211C23×C4×C13C2311yescharacteristic
212C23×C4×C13C2311yescharacteristic
213C23×C4×C13C2311yescharacteristic
214C23×C4×C13C2311yescharacteristic
215C23×C4×C13C2311yescharacteristic
216C23×C4×C13C2311yescharacteristic
217C13×#126—24no—
218C13×#126—24no—
219C13×#125—24no—
220C13×#124—24no—
221C13×#123—24no—
222C13×#123—24no—
223C13×#123—24no—
224C13×#123—24no—
225C13×C22⋊Q8—24no—
226C13×C22⋊Q8—24no—
227C13×#121—24no—
228C13×#121—24no—
229C4×Q8×C13—24no—
230C4×Q8×C13—24no—
231C4×Q8×C13—24no—
232C4×D4×C13—24no—
233C4×D4×C13—24no—
234C4×D4×C13—24no—
235C4×D4×C13—24no—
236C4×D4×C13—24no—
237C4×D4×C13—24no—
238C4×D4×C13—24no—
239C4×D4×C13—24no—
240C4×D4×C13—24no—
241C4×D4×C13—24no—
242C4×D4×C13—24no—
243C4×D4×C13—24no—
244C4×D4×C13—24no—
245C4×D4×C13—24no—
246C4×D4×C13—24no—
247C13×#117—24no—
248C13×#117—24no—
249C13×#117—24no—
250C13×#117D418yescomplemented
251C2×C13×C4⋊C4C2311yescharacteristic
252C2×C13×C4⋊C4C2311yescharacteristic
253C2×C13×C4⋊C4C2311yescharacteristic
254C2×C13×C4⋊C4C2311yescharacteristic
255C2×C13×C4⋊C4C2311yescharacteristic
256C2×C13×C4⋊C4C2311yescharacteristic
257C2×C13×C4⋊C4C2311yescharacteristic
258C2×C13×C4⋊C4C2311yescharacteristic
259C2×C13×C4⋊C4C2311yescharacteristic
260C2×C13×C4⋊C4C2311yescharacteristic
261C2×C13×C4⋊C4C2311yescharacteristic
262C2×C13×C4⋊C4C2311yescharacteristic
263C2×C13×C4⋊C4C2311yescharacteristic
264C2×C13×C4⋊C4C2311yescharacteristic
265C2×C13×C4⋊C4C2311yescharacteristic
266C2×C13×C4⋊C4C2311yescharacteristic
267C2×C13×C4⋊C4C2311yescharacteristic
268C2×C13×C4⋊C4C2311yescharacteristic
269C2×C13×C4⋊C4C2311yescharacteristic
270C2×C13×C4⋊C4C2311yescharacteristic
271C2×C13×C4⋊C4C2311yescharacteristic
272C2×C13×C4⋊C4C2311yescharacteristic
273C2×C13×C4⋊C4C2311yescharacteristic
274C2×C13×C4⋊C4C2311yescharacteristic
275C2×C13×C4⋊C4C2311yescharacteristic
276C2×C13×C4⋊C4C2311yescharacteristic
277C2×C13×C4⋊C4C2311yescharacteristic
278C2×C13×C4⋊C4C2311yescharacteristic
279C2×C13×C4⋊C4C2311yescharacteristic
280C2×C13×C4⋊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×C13×C22⋊C4C2311yescharacteristic
292C2×C13×C22⋊C4C2311yescharacteristic
293C2×C13×C22⋊C4C2311yescharacteristic
294C2×C13×C22⋊C4C2311yescharacteristic
295C2×C13×C22⋊C4C2311yescharacteristic
296C2×C13×C22⋊C4C2311yescharacteristic
297C2×C13×C22⋊C4C2311yescharacteristic
298C2×C13×C22⋊C4C2311yescharacteristic
299C2×C13×C22⋊C4C2311yescharacteristic
300C2×C13×C22⋊C4C2311yescharacteristic
301C2×C13×C22⋊C4C2311yescharacteristic
302C2×C13×C22⋊C4C2311yescharacteristic
303C2×C13×C22⋊C4C2311yescharacteristic
304C2×C13×C22⋊C4C2311yescharacteristic
305C2×C13×C22⋊C4C2311yescharacteristic
306C2×C13×C22⋊C4C2311yescharacteristic
307C2×C13×C22⋊C4C2311yescharacteristic
308C2×C13×C22⋊C4C2311yescharacteristic
309C2×C13×C22⋊C4C2311yescharacteristic
310C2×C13×C22⋊C4C2311yescharacteristic
311C2×C13×C22⋊C4C2311yescharacteristic
312C2×C13×C22⋊C4C2311yescharacteristic
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C13×C22⋊C4C2311yescharacteristic
320C2×C13×C22⋊C4C2311yescharacteristic
321C2×C13×C22⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4C2311yescharacteristic
323C2×C42×C13—24no—
324C2×C42×C13—24no—
325C2×C42×C13—24no—
326C2×C42×C13—24no—
327C2×C42×C13C2311yescharacteristic
328C2×C42×C13C2311yescharacteristic
329C2×C42×C13C2311yescharacteristic
330C2×C42×C13C2311yescharacteristic
331C2×C42×C13C2311yescharacteristic
332C2×C42×C13C2311yescharacteristic
333C2×C42×C13C2311yescharacteristic
334C2×C42×C13C2311yescharacteristic
335C2×C42×C13C2311yescharacteristic
336C2×C42×C13C2311yescharacteristic
337C2×C42×C13C2311yescharacteristic
338C2×C42×C13C2311yescharacteristic
339C2×C42×C13C2311yescharacteristic
340C2×C42×C13C2311yescharacteristic
341C2×C42×C13C2311yescharacteristic
342C2×C42×C13C2311yescharacteristic
343C2×C42×C13C2311yescharacteristic
344C2×C42×C13C2311yescharacteristic
345C2×C42×C13C2311yescharacteristic
346C2×C42×C13C2311yescharacteristic
347C2×C42×C13C2311yescharacteristic
348C2×C42×C13C2311yescharacteristic
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
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367C13×#95C2311yescharacteristic
368C13×#95C2311yescharacteristic
369C13×#95C2311yescharacteristic
370C13×#95C2311yescharacteristic
371C13×#95C2311yescharacteristic
372C13×#95C2311yescharacteristic
373C13×#95C2311yescharacteristic
374C13×#95C2311yescharacteristic
375C13×#95C2311yescharacteristic
376C13×#95C2311yescharacteristic
377C13×#95C2311yescharacteristic
378C13×#95C2311yescharacteristic
379C13×#95C2311yescharacteristic
380C13×#95C2311yescharacteristic
381C13×#95C2311yescharacteristic
382C13×#95C2311yescharacteristic
383C13×#95C2311yescharacteristic
384C13×#95C2311yescharacteristic
385#34741C1311yesmaximal, characteristic, direct product factor, Sylow
386C24×C13C2411yescharacteristic
387C24×C13C2411yescharacteristic
388C24×C13C2411yescharacteristic
389C24×C13C2411yescharacteristic
390C24×C13C2411yescharacteristic
391C13×#41—232no—
392C2×Q8×C13—22no—
393C2×Q8×C13—22no—
394C2×Q8×C13—22no—
395C2×Q8×C13—22no—
396C2×Q8×C13—22no—
397C2×Q8×C13—41no—
398C2×D4×C13—22no—
399C2×D4×C13—22no—
400C2×D4×C13—22no—
401C2×D4×C13—22no—
402C2×D4×C13—22no—
403C2×D4×C13—22no—
404C2×D4×C13—22no—
405C2×D4×C13—22no—
406C2×D4×C13—22no—
407C2×D4×C13—22no—
408C2×D4×C13—22no—
409C2×D4×C13—22no—
410C2×D4×C13—22no—
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—22no—
419C2×D4×C13—22no—
420C2×D4×C13—22no—
421C2×D4×C13—41no—
422C2×D4×C13—41no—
423C2×D4×C13—41no—
424C2×D4×C13—41no—
425C2×D4×C13—41no—
426C2×D4×C13—41no—
427C2×D4×C13—41no—
428C22×C4×C13—22no—
429C22×C4×C13—22no—
430C22×C4×C13—22no—
431C22×C4×C13—22no—
432C22×C4×C13—22no—
433C22×C4×C13—22no—
434C22×C4×C13—22no—
435C22×C4×C13—22no—
436C22×C4×C13—22no—
437C22×C4×C13—22no—
438C22×C4×C13—22no—
439C22×C4×C13—22no—
440C22×C4×C13—22no—
441C22×C4×C13—22no—
442C22×C4×C13—22no—
443C22×C4×C13—22no—
444C22×C4×C13—22no—
445C22×C4×C13—22no—
446C22×C4×C13—22no—
447C22×C4×C13—22no—
448C22×C4×C13—22no—
449C22×C4×C13—22no—
450C22×C4×C13—22no—
451C22×C4×C13—22no—
452C22×C4×C13—22no—
453C22×C4×C13—22no—
454C22×C4×C13—22no—
455C22×C4×C13—22no—
456C22×C4×C13—41no—
457C22×C4×C13—41no—
458C22×C4×C13—41no—
459C22×C4×C13—41no—
460C22×C4×C13—41no—
461C22×C4×C13—41no—
462C22×C4×C13—41no—
463C22×C4×C13—41no—
464C22×C4×C13C2×D414yes—
465C22×C4×C13#4114yes—
466C22×C4×C13#4114yes—
467C22×C4×C13C2411yescharacteristic
468C22×C4×C13C2411yescharacteristic
469C22×C4×C13C2411yescharacteristic
470C22×C4×C13C2411yescharacteristic
471C22×C4×C13C2411yescharacteristic
472C22×C4×C13C2411yescharacteristic
473C22×C4×C13C2411yescharacteristic
474C22×C4×C13C2411yescharacteristic
475C22×C4×C13C2411yescharacteristic
476C22×C4×C13C2411yescharacteristic
477C22×C4×C13C2411yescharacteristic
478C22×C4×C13C2411yescharacteristic
479C22×C4×C13C2411yescharacteristic
480C22×C4×C13C2411yescharacteristic
481C22×C4×C13C2411yescharacteristic
482C22×C4×C13C2411yescharacteristic
483C22×C4×C13C2411yescharacteristic
484C22×C4×C13C2411yescharacteristic
485C22×C4×C13C2411yescharacteristic
486C22×C4×C13C2411yescharacteristic
487C22×C4×C13C2411yescharacteristic
488C22×C4×C13C2411yescharacteristic
489C22×C4×C13C2411yescharacteristic
490C22×C4×C13C2411yescharacteristic
491C22×C4×C13C2411yescharacteristic
492C22×C4×C13C2411yescharacteristic
493C13×C4⋊C4—22no—
494C13×C4⋊C4—22no—
495C13×C4⋊C4—22no—
496C13×C4⋊C4—22no—
497C13×C4⋊C4—22no—
498C13×C4⋊C4—22no—
499C13×C4⋊C4—22no—
500C13×C4⋊C4—22no—
501C13×C4⋊C4—22no—
502C13×C4⋊C4—22no—
503C13×C4⋊C4—22no—
504C13×C4⋊C4—22no—
505C13×C4⋊C4—22no—
506C13×C4⋊C4—22no—
507C13×C4⋊C4—22no—
508C13×C4⋊C4—22no—
509C13×C4⋊C4—22no—
510C13×C4⋊C4—22no—
511C13×C4⋊C4—22no—
512C13×C4⋊C4—22no—
513C13×C4⋊C4—22no—
514C13×C4⋊C4—22no—
515C13×C4⋊C4—22no—
516C13×C4⋊C4—41no—
517C13×C4⋊C4—41no—
518C13×C4⋊C4—41no—
519C13×C4⋊C4—41no—
520C13×C4⋊C4C2×D414yes—
521C13×C4⋊C4C2×D414yes—
522C13×C4⋊C4#4114yescomplemented
523C13×C22⋊C4—22no—
524C13×C22⋊C4—22no—
525C13×C22⋊C4—22no—
526C13×C22⋊C4—22no—
527C13×C22⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—22no—
540C13×C22⋊C4—22no—
541C13×C22⋊C4—22no—
542C13×C22⋊C4—22no—
543C13×C22⋊C4—22no—
544C13×C22⋊C4—22no—
545C13×C22⋊C4—22no—
546C13×C22⋊C4—22no—
547C13×C22⋊C4—22no—
548C13×C22⋊C4—22no—
549C13×C22⋊C4—22no—
550C13×C22⋊C4—22no—
551C13×C22⋊C4—22no—
552C13×C22⋊C4—22no—
553C13×C22⋊C4—22no—
554C13×C22⋊C4—41no—
555C13×C22⋊C4—41no—
556C13×C22⋊C4—41no—
557C13×C22⋊C4—41no—
558C13×C22⋊C4—41no—
559C13×C22⋊C4—41no—
560C13×C22⋊C4—41no—
561C13×C22⋊C4—41no—
562C13×C22⋊C4C2×D414yes—
563C13×C22⋊C4C2×D414yes—
564C13×C22⋊C4#4114yescomplemented
565C42×C13—22no—
566C42×C13—22no—
567C42×C13—22no—
568C42×C13—22no—
569C42×C13—22no—
570C42×C13—22no—
571C42×C13—22no—
572C42×C13—22no—
573C42×C13—22no—
574C42×C13—22no—
575C42×C13—22no—
576C42×C13—22no—
577C42×C13—22no—
578C42×C13—22no—
579C42×C13—22no—
580C42×C13—22no—
581C42×C13—22no—
582C42×C13—22no—
583C42×C13—41no—
584C42×C13—41no—
585C42×C13C2×D414yes—
586C42×C13C2×D414yes—
587C2×#529C2×C1311yescharacteristic, complemented
588C2×C4×#41C2×C1311yescharacteristic, complemented
589#2469C2×C1311yescharacteristic, complemented
590#2468C2×C1311yescharacteristic, complemented
591#2467C2×C1311yescharacteristic, complemented
592#2466C2×C1311yescharacteristic, complemented
593#2465C2×C1311yescharacteristic, complemented
594#2464C2×C1311yescharacteristic, complemented
595#2463C2×C1311yescharacteristic, complemented
596#2462C2×C1311yescharacteristic, complemented
597#2461C2×C1311yescharacteristic, complemented
598#2460C2×C1311yescharacteristic, complemented
599#2459C2×C1311yescharacteristic, complemented
600#2458C2×C1311yescharacteristic, complemented
601#2457C2×C1311yescharacteristic, complemented
602#2456C2×C1311yescharacteristic, complemented
603#2456C2×C1311yescharacteristic, complemented
604#2455C2×C1311yescharacteristic, complemented
605#2396C2×C1311yescharacteristic, complemented
606#2392C2×C1311yescharacteristic, complemented
607#2388C2×C1311yescharacteristic, complemented
608#2388C2×C1311yescharacteristic, complemented
609C4×C22⋊Q8C2×C1311yescharacteristic, complemented
610C4×#123C2×C1311yescharacteristic, complemented
611C4×#123C2×C1311yescharacteristic, complemented
612C4×#121C2×C1311yescharacteristic, complemented
613#2298C2×C1311yescharacteristic, complemented
614#2293C2×C1311yescharacteristic, complemented
615#2290C2×C1311yescharacteristic, complemented
616#2290C2×C1311yescharacteristic, complemented
617C42×D4C2×C1311yescharacteristic, complemented
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13C22×D412yes—
650C23×C13C2×#4112yes—
651C23×C13C2×#4112yes—
652C23×C13C2×#4112yes—
653C23×C13C2511yescharacteristic
654Q8×C13—28no—
655Q8×C13—44no—
656D4×C13—28no—
657D4×C13—28no—
658D4×C13—28no—
659D4×C13—28no—
660D4×C13—44no—
661D4×C13—44no—
662D4×C13—44no—
663D4×C13—44no—
664D4×C13—44no—
665D4×C13—44no—
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—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—21no—
686C2×C4×C13—21no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—28no—
691C2×C4×C13—28no—
692C2×C4×C13—28no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—44no—
733C2×C4×C13—44no—
734C2×C4×C13—44no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13—44no—
738C2×C4×C13—44no—
739C2×C4×C13—44no—
740C2×C4×C13—44no—
741C2×C4×C13—44no—
742C2×C4×C13C22×D412yes—
743C2×C4×C13C22×D412yes—
744C2×C4×C13C22×D412yes—
745C2×C4×C13C22×D412yes—
746C2×C4×C13C22×D412yes—
747C2×C4×C13C22×D412yes—
748C2×C4×C13C2×#4112yes—
749C2×C4×C13C2×#4112yes—
750C2×C4×C13C2×#4112yes—
751C2×C4×C13C2×#4112yes—
752C2×C4×C13C2×#4112yes—
753C2×C4×C13C2×#4112yes—
754C2×C4×C13C2×#4112yes—
755C2×C4×C13C2×#4112yes—
756C2×C4×C13C2×#4112yes—
757C22×#41C22×C1311yescharacteristic
758#529—28no—
759C2×#126C22×C1311yescharacteristic
760C2×#126C22×C1311yescharacteristic
761C2×#125C22×C1311yescharacteristic
762C2×#124C22×C1311yescharacteristic
763C2×#123C22×C1311yescharacteristic
764C2×#123C22×C1311yescharacteristic
765C2×#123C22×C1311yescharacteristic
766C2×#123C22×C1311yescharacteristic
767C2×C22⋊Q8C22×C1311yescharacteristic
768C2×C22⋊Q8C22×C1311yescharacteristic
769C2×#121C22×C1311yescharacteristic
770C2×#121C22×C1311yescharacteristic
771C4×#41—28no—
772C2×C4×Q8C22×C1311yescharacteristic
773C2×C4×Q8C22×C1311yescharacteristic
774C2×C4×Q8C22×C1311yescharacteristic
775C2×C4×D4C22×C1311yescharacteristic
776C2×C4×D4C22×C1311yescharacteristic
777C2×C4×D4C22×C1311yescharacteristic
778C2×C4×D4C22×C1311yescharacteristic
779C2×C4×D4C22×C1311yescharacteristic
780C2×C4×D4C22×C1311yescharacteristic
781C2×C4×D4C22×C1311yescharacteristic
782C2×C4×D4C22×C1311yescharacteristic
783C2×C4×D4C22×C1311yescharacteristic
784C2×C4×D4C22×C1311yescharacteristic
785C2×C4×D4C22×C1311yescharacteristic
786C2×C4×D4C22×C1311yescharacteristic
787C2×C4×D4C22×C1311yescharacteristic
788C2×C4×D4C22×C1311yescharacteristic
789C2×C4×D4C22×C1311yescharacteristic
790C2×#117C22×C1311yescharacteristic
791C2×#117C22×C1311yescharacteristic
792C2×#117C22×C1311yescharacteristic
793C2×#117C22×C1311yescharacteristic
794C22×C42C22×C1311yescharacteristic
795C22×C42C22×C1311yescharacteristic
796C22×C42C22×C1311yescharacteristic
797C22×C42C22×C1311yescharacteristic
798#400C22×C1311yescharacteristic
799#399C22×C1311yescharacteristic
800#398C22×C1311yescharacteristic
801#398C22×C1311yescharacteristic
802#398C22×C1311yescharacteristic
803#397C22×C1311yescharacteristic
804#396C22×C1311yescharacteristic
805#396C22×C1311yescharacteristic
806#396C22×C1311yescharacteristic
807#396C22×C1311yescharacteristic
808#395C22×C1311yescharacteristic
809#395C22×C1311yescharacteristic
810#395C22×C1311yescharacteristic
811#394C22×C1311yescharacteristic
812#394C22×C1311yescharacteristic
813#394C22×C1311yescharacteristic
814#394C22×C1311yescharacteristic
815#394C22×C1311yescharacteristic
816#394C22×C1311yescharacteristic
817#394C22×C1311yescharacteristic
818#394C22×C1311yescharacteristic
819#394C22×C1311yescharacteristic
820#393C22×C1311yescharacteristic
821#393C22×C1311yescharacteristic
822#393C22×C1311yescharacteristic
823#392C22×C1311yescharacteristic
824#392C22×C1311yescharacteristic
825#392C22×C1311yescharacteristic
826#392C22×C1311yescharacteristic
827#392C22×C1311yescharacteristic
828#392C22×C1311yescharacteristic
829#392C22×C1311yescharacteristic
830#391C22×C1311yescharacteristic
831#390C22×C1311yescharacteristic
832#390C22×C1311yescharacteristic
833#390C22×C1311yescharacteristic
834#389C22×C1311yescharacteristic
835#389C22×C1311yescharacteristic
836#389C22×C1311yescharacteristic
837#389C22×C1311yescharacteristic
838#388C22×C1311yescharacteristic
839#388C22×C1311yescharacteristic
840#388C22×C1311yescharacteristic
841#388C22×C1311yescharacteristic
842#388C22×C1311yescharacteristic
843#388C22×C1311yescharacteristic
844#388C22×C1311yescharacteristic
845#388C22×C1311yescharacteristic
846#388C22×C1311yescharacteristic
847#388C22×C1311yescharacteristic
848#388C22×C1311yescharacteristic
849#388C22×C1311yescharacteristic
850#388C22×C1311yescharacteristic
851#388C22×C1311yescharacteristic
852#388C22×C1311yescharacteristic
853#388C22×C1311yescharacteristic
854#388C22×C1311yescharacteristic
855#388C22×C1311yescharacteristic
856#387C22×C1311yescharacteristic
857#387C22×C1311yescharacteristic
858#387C22×C1311yescharacteristic
859#387C22×C1311yescharacteristic
860#387C22×C1311yescharacteristic
861#387C22×C1311yescharacteristic
862#387C22×C1311yescharacteristic
863#387C22×C1311yescharacteristic
864#387C22×C1311yescharacteristic
865#387C22×C1311yescharacteristic
866#387C22×C1311yescharacteristic
867#387C22×C1311yescharacteristic
868#387C22×C1311yescharacteristic
869#387C22×C1311yescharacteristic
870#386C22×C1311yescharacteristic
871#386C22×C1311yescharacteristic
872#386C22×C1311yescharacteristic
873#386C22×C1311yescharacteristic
874#386C22×C1311yescharacteristic
875#386C22×C1311yescharacteristic
876#386C22×C1311yescharacteristic
877#386C22×C1311yescharacteristic
878#385C22×C1311yescharacteristic
879#385C22×C1311yescharacteristic
880#385C22×C1311yescharacteristic
881#385C22×C1311yescharacteristic
882#385C22×C1311yescharacteristic
883#385C22×C1311yescharacteristic
884#385C22×C1311yescharacteristic
885#385C22×C1311yescharacteristic
886#381C22×C1311yescharacteristic
887#381C22×C1311yescharacteristic
888#380C22×C1311yescharacteristic
889#380C22×C1311yescharacteristic
890C4×C4⋊C4C22×C1311yescharacteristic
891C4×C4⋊C4C22×C1311yescharacteristic
892C4×C4⋊C4C22×C1311yescharacteristic
893C4×C4⋊C4C22×C1311yescharacteristic
894C4×C4⋊C4C22×C1311yescharacteristic
895C4×C4⋊C4C22×C1311yescharacteristic
896C4×C4⋊C4C22×C1311yescharacteristic
897C4×C4⋊C4C22×C1311yescharacteristic
898C4×C22⋊C4C22×C1311yescharacteristic
899C4×C22⋊C4C22×C1311yescharacteristic
900C4×C22⋊C4C22×C1311yescharacteristic
901C4×C22⋊C4C22×C1311yescharacteristic
902C4×C22⋊C4C22×C1311yescharacteristic
903C4×C22⋊C4C22×C1311yescharacteristic
904C4×C22⋊C4C22×C1311yescharacteristic
905C4×C22⋊C4C22×C1311yescharacteristic
906C4×C22⋊C4C22×C1311yescharacteristic
907C4×C22⋊C4C22×C1311yescharacteristic
908C4×C22⋊C4C22×C1311yescharacteristic
909C4×C22⋊C4C22×C1311yescharacteristic
910C4×C22⋊C4C22×C1311yescharacteristic
911C4×C22⋊C4C22×C1311yescharacteristic
912#376C22×C1311yescharacteristic
913C43C22×C1311yescharacteristic
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—22no—
922C22×C13—22no—
923C22×C13—22no—
924C22×C13—22no—
925C22×C13—22no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13C23×D411yescharacteristic
950C22×C13C22×#4111yescharacteristic
951C22×C13C22×#4111yescharacteristic
952C22×C13C22×#4111yescharacteristic
953C22×C13C22×#4111yescharacteristic
954C22×C13#58511yescharacteristic
955C22×C13#58511yescharacteristic
956C4×C13—22no—
957C4×C13—22no—
958C4×C13—22no—
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—22no—
964C4×C13—22no—
965C4×C13—22no—
966C4×C13—22no—
967C4×C13—22no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977C4×C13—41no—
978C4×C13—41no—
979C4×C13—41no—
980C4×C13—41no—
981C4×C13#52514yes—
982C2×#41—24no—
983C2×#41—24no—
984C2×#41—24no—
985C22×Q8C23×C1311yescharacteristic
986C22×Q8C23×C1311yescharacteristic
987C22×D4C23×C1311yescharacteristic
988C22×D4C23×C1311yescharacteristic
989C22×D4C23×C1311yescharacteristic
990C22×D4C23×C1311yescharacteristic
991C22×D4C23×C1311yescharacteristic
992C22×D4C23×C1311yescharacteristic
993C22×D4C23×C1311yescharacteristic
994C22×D4C23×C1311yescharacteristic
995C22×D4C23×C1311yescharacteristic
996C22×D4C23×C1311yescharacteristic
997C23×C4C23×C1311yescharacteristic
998C23×C4C23×C1311yescharacteristic
999C23×C4C23×C1311yescharacteristic
1000C23×C4C23×C1311yescharacteristic
1001C23×C4C23×C1311yescharacteristic
1002C23×C4C23×C1311yescharacteristic
1003C23×C4C23×C1311yescharacteristic
1004C23×C4C23×C1311yescharacteristic
1005C23×C4C23×C1311yescharacteristic
1006C23×C4C23×C1311yescharacteristic
1007C23×C4C23×C1311yescharacteristic
1008C23×C4C23×C1311yescharacteristic
1009C23×C4C23×C1311yescharacteristic
1010#126—24no—
1011#126—24no—
1012#125—24no—
1013#124—24no—
1014#123—24no—
1015#123—24no—
1016#123—24no—
1017#123—24no—
1018C22⋊Q8—24no—
1019C22⋊Q8—24no—
1020#121—24no—
1021#121—24no—
1022C4×Q8—24no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—24no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—24no—
1039C4×D4—24no—
1040#117—24no—
1041#117—24no—
1042#117—24no—
1043#117D4×C1318yescomplemented
1044C2×C4⋊C4C23×C1311yescharacteristic
1045C2×C4⋊C4C23×C1311yescharacteristic
1046C2×C4⋊C4C23×C1311yescharacteristic
1047C2×C4⋊C4C23×C1311yescharacteristic
1048C2×C4⋊C4C23×C1311yescharacteristic
1049C2×C4⋊C4C23×C1311yescharacteristic
1050C2×C4⋊C4C23×C1311yescharacteristic
1051C2×C4⋊C4C23×C1311yescharacteristic
1052C2×C4⋊C4C23×C1311yescharacteristic
1053C2×C4⋊C4C23×C1311yescharacteristic
1054C2×C4⋊C4C23×C1311yescharacteristic
1055C2×C4⋊C4C23×C1311yescharacteristic
1056C2×C4⋊C4C23×C1311yescharacteristic
1057C2×C4⋊C4C23×C1311yescharacteristic
1058C2×C4⋊C4C23×C1311yescharacteristic
1059C2×C4⋊C4C23×C1311yescharacteristic
1060C2×C4⋊C4C23×C1311yescharacteristic
1061C2×C4⋊C4C23×C1311yescharacteristic
1062C2×C4⋊C4C23×C1311yescharacteristic
1063C2×C4⋊C4C23×C1311yescharacteristic
1064C2×C4⋊C4C23×C1311yescharacteristic
1065C2×C4⋊C4C23×C1311yescharacteristic
1066C2×C4⋊C4C23×C1311yescharacteristic
1067C2×C4⋊C4C23×C1311yescharacteristic
1068C2×C4⋊C4C23×C1311yescharacteristic
1069C2×C4⋊C4C23×C1311yescharacteristic
1070C2×C4⋊C4C23×C1311yescharacteristic
1071C2×C4⋊C4C23×C1311yescharacteristic
1072C2×C4⋊C4C23×C1311yescharacteristic
1073C2×C4⋊C4C23×C1311yescharacteristic
1074C2×C22⋊C4C23×C1311yescharacteristic
1075C2×C22⋊C4C23×C1311yescharacteristic
1076C2×C22⋊C4C23×C1311yescharacteristic
1077C2×C22⋊C4C23×C1311yescharacteristic
1078C2×C22⋊C4C23×C1311yescharacteristic
1079C2×C22⋊C4C23×C1311yescharacteristic
1080C2×C22⋊C4C23×C1311yescharacteristic
1081C2×C22⋊C4C23×C1311yescharacteristic
1082C2×C22⋊C4C23×C1311yescharacteristic
1083C2×C22⋊C4C23×C1311yescharacteristic
1084C2×C22⋊C4C23×C1311yescharacteristic
1085C2×C22⋊C4C23×C1311yescharacteristic
1086C2×C22⋊C4C23×C1311yescharacteristic
1087C2×C22⋊C4C23×C1311yescharacteristic
1088C2×C22⋊C4C23×C1311yescharacteristic
1089C2×C22⋊C4C23×C1311yescharacteristic
1090C2×C22⋊C4C23×C1311yescharacteristic
1091C2×C22⋊C4C23×C1311yescharacteristic
1092C2×C22⋊C4C23×C1311yescharacteristic
1093C2×C22⋊C4C23×C1311yescharacteristic
1094C2×C22⋊C4C23×C1311yescharacteristic
1095C2×C22⋊C4C23×C1311yescharacteristic
1096C2×C22⋊C4C23×C1311yescharacteristic
1097C2×C22⋊C4C23×C1311yescharacteristic
1098C2×C22⋊C4C23×C1311yescharacteristic
1099C2×C22⋊C4C23×C1311yescharacteristic
1100C2×C22⋊C4C23×C1311yescharacteristic
1101C2×C22⋊C4C23×C1311yescharacteristic
1102C2×C22⋊C4C23×C1311yescharacteristic
1103C2×C22⋊C4C23×C1311yescharacteristic
1104C2×C22⋊C4C23×C1311yescharacteristic
1105C2×C22⋊C4C23×C1311yescharacteristic
1106C2×C22⋊C4C23×C1311yescharacteristic
1107C2×C22⋊C4C23×C1311yescharacteristic
1108C2×C22⋊C4C23×C1311yescharacteristic
1109C2×C22⋊C4C23×C1311yescharacteristic
1110C2×C22⋊C4C23×C1311yescharacteristic
1111C2×C22⋊C4C23×C1311yescharacteristic
1112C2×C22⋊C4C23×C1311yescharacteristic
1113C2×C22⋊C4C23×C1311yescharacteristic
1114C2×C22⋊C4C23×C1311yescharacteristic
1115C2×C22⋊C4C23×C1311yescharacteristic
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—24no—
1120C2×C42C23×C1311yescharacteristic
1121C2×C42C23×C1311yescharacteristic
1122C2×C42C23×C1311yescharacteristic
1123C2×C42C23×C1311yescharacteristic
1124C2×C42C23×C1311yescharacteristic
1125C2×C42C23×C1311yescharacteristic
1126C2×C42C23×C1311yescharacteristic
1127C2×C42C23×C1311yescharacteristic
1128C2×C42C23×C1311yescharacteristic
1129C2×C42C23×C1311yescharacteristic
1130C2×C42C23×C1311yescharacteristic
1131C2×C42C23×C1311yescharacteristic
1132C2×C42C23×C1311yescharacteristic
1133C2×C42C23×C1311yescharacteristic
1134C2×C42C23×C1311yescharacteristic
1135C2×C42C23×C1311yescharacteristic
1136C2×C42C23×C1311yescharacteristic
1137C2×C42C23×C1311yescharacteristic
1138C2×C42C23×C1311yescharacteristic
1139C2×C42C23×C1311yescharacteristic
1140C2×C42C23×C1311yescharacteristic
1141C2×C42C23×C1311yescharacteristic
1142#95C23×C1311yescharacteristic
1143#95C23×C1311yescharacteristic
1144#95C23×C1311yescharacteristic
1145#95C23×C1311yescharacteristic
1146#95C23×C1311yescharacteristic
1147#95C23×C1311yescharacteristic
1148#95C23×C1311yescharacteristic
1149#95C23×C1311yescharacteristic
1150#95C23×C1311yescharacteristic
1151#95C23×C1311yescharacteristic
1152#95C23×C1311yescharacteristic
1153#95C23×C1311yescharacteristic
1154#95C23×C1311yescharacteristic
1155#95C23×C1311yescharacteristic
1156#95C23×C1311yescharacteristic
1157#95C23×C1311yescharacteristic
1158#95C23×C1311yescharacteristic
1159#95C23×C1311yescharacteristic
1160#95C23×C1311yescharacteristic
1161#95C23×C1311yescharacteristic
1162#95C23×C1311yescharacteristic
1163#95C23×C1311yescharacteristic
1164#95C23×C1311yescharacteristic
1165#95C23×C1311yescharacteristic
1166#95C23×C1311yescharacteristic
1167#95C23×C1311yescharacteristic
1168#95C23×C1311yescharacteristic
1169#95C23×C1311yescharacteristic
1170#95C23×C1311yescharacteristic
1171#95C23×C1311yescharacteristic
1172#95C23×C1311yescharacteristic
1173#95C23×C1311yescharacteristic
1174#95C23×C1311yescharacteristic
1175#95C23×C1311yescharacteristic
1176#95C23×C1311yescharacteristic
1177#95C23×C1311yescharacteristic
1178C2×C13—42no—
1179C2×C13—42no—
1180C2×C13—42no—
1181C2×C13—42no—
1182C2×C13—81no—
1183C2×C13C2×#52511yescharacteristic
1184C2×C13#344411yescharacteristic
1185C2×C13#345511yescharacteristic
1186C2×C13D4×#4111yescharacteristic
1187C2×C13D4×#4111yescharacteristic
1188C2×C13#347511yescharacteristic
1189C2×C13#348011yescharacteristic
1190C24C24×C1311yescharacteristic
1191C24C24×C1311yescharacteristic
1192C24C24×C1311yescharacteristic
1193C24C24×C1311yescharacteristic
1194C24C24×C1311yescharacteristic
1195#41—232no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—41no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4C2×D4×C1314yes—
1269C22×C4C13×#4114yes—
1270C22×C4C13×#4114yes—
1271C22×C4C24×C1311yescharacteristic
1272C22×C4C24×C1311yescharacteristic
1273C22×C4C24×C1311yescharacteristic
1274C22×C4C24×C1311yescharacteristic
1275C22×C4C24×C1311yescharacteristic
1276C22×C4C24×C1311yescharacteristic
1277C22×C4C24×C1311yescharacteristic
1278C22×C4C24×C1311yescharacteristic
1279C22×C4C24×C1311yescharacteristic
1280C22×C4C24×C1311yescharacteristic
1281C22×C4C24×C1311yescharacteristic
1282C22×C4C24×C1311yescharacteristic
1283C22×C4C24×C1311yescharacteristic
1284C22×C4C24×C1311yescharacteristic
1285C22×C4C24×C1311yescharacteristic
1286C22×C4C24×C1311yescharacteristic
1287C22×C4C24×C1311yescharacteristic
1288C22×C4C24×C1311yescharacteristic
1289C22×C4C24×C1311yescharacteristic
1290C22×C4C24×C1311yescharacteristic
1291C22×C4C24×C1311yescharacteristic
1292C22×C4C24×C1311yescharacteristic
1293C22×C4C24×C1311yescharacteristic
1294C22×C4C24×C1311yescharacteristic
1295C22×C4C24×C1311yescharacteristic
1296C22×C4C24×C1311yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4C2×D4×C1314yes—
1325C4⋊C4C2×D4×C1314yes—
1326C4⋊C4C13×#4114yescomplemented
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4C2×D4×C1314yes—
1367C22⋊C4C2×D4×C1314yes—
1368C22⋊C4C13×#4114yescomplemented
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—41no—
1388C42—41no—
1389C42C2×D4×C1314yes—
1390C42C2×D4×C1314yes—
1391C13#3474111yescharacteristic, direct product factor, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23C22×D4×C1312yes—
1424C23C2×C13×#4112yes—
1425C23C2×C13×#4112yes—
1426C23C2×C13×#4112yes—
1427C23C25×C1311yescharacteristic
1428Q8—28no—
1429Q8—44no—
1430D4—28no—
1431D4—28no—
1432D4—28no—
1433D4—28no—
1434D4—44no—
1435D4—44no—
1436D4—44no—
1437D4—44no—
1438D4—44no—
1439D4—44no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—28no—
1465C2×C4—28no—
1466C2×C4—28no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4C22×D4×C1312yes—
1517C2×C4C22×D4×C1312yes—
1518C2×C4C22×D4×C1312yes—
1519C2×C4C22×D4×C1312yes—
1520C2×C4C22×D4×C1312yes—
1521C2×C4C22×D4×C1312yes—
1522C2×C4C2×C13×#4112yes—
1523C2×C4C2×C13×#4112yes—
1524C2×C4C2×C13×#4112yes—
1525C2×C4C2×C13×#4112yes—
1526C2×C4C2×C13×#4112yes—
1527C2×C4C2×C13×#4112yes—
1528C2×C4C2×C13×#4112yes—
1529C2×C4C2×C13×#4112yes—
1530C2×C4C2×C13×#4112yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22C23×D4×C1311yescharacteristic
1567C22C22×C13×#4111yescharacteristic
1568C22C22×C13×#4111yescharacteristic
1569C22C22×C13×#4111yescharacteristic
1570C22C22×C13×#4111yescharacteristic
1571C22C13×#58511yescharacteristic
1572C22C13×#58511yescharacteristic
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4C13×#52514yes—
1599C2—42no—
1600C2—42no—
1601C2—42no—
1602C2—42no—
1603C2—81no—
1604C2C2×C13×#52511yescharacteristic
1605C2C13×#344411yescharacteristic
1606C2C13×#345511yescharacteristic
1607C2D4×C13×#4111yescharacteristic
1608C2D4×C13×#4111yescharacteristic
1609C2C13×#347511yescharacteristic
1610C2C13×#348011yescharacteristic
subgroupG/H
centerC22×C4×C13C24
commutator, Frattini, cosocleC23C25×C13
socleC23×C13C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C13×#529C2semidirect
2. C2×C4×C13×#41C2semidirect
3. C13×#2469C2semidirect
4. C13×#2468C2semidirect
5. C13×#2467C2semidirect
6. C13×#2466C2semidirect
7. C13×#2465C2semidirect
8. C13×#2464C2semidirect
9. C13×#2463C2semidirect
10. C13×#2462C2semidirect
11. C13×#2461C2semidirect
12. C13×#2460C2semidirect
13. C13×#2459C2semidirect
14. C13×#2458C2semidirect
15. C13×#2457C2semidirect
16. C13×#2456C2semidirect
17. C13×#2456C2semidirect
18. C13×#2455C2semidirect
19. C13×#2396C2semidirect
20. C13×#2392C2semidirect
21. C13×#2388C2semidirect
22. C13×#2388C2semidirect
23. C4×C13×C22⋊Q8C2semidirect
24. C4×C13×#123C2semidirect
25. C4×C13×#123C2semidirect
26. C4×C13×#121C2semidirect
27. C13×#2298C2semidirect
28. C13×#2293C2semidirect
29. C13×#2290C2semidirect
30. C13×#2290C2semidirect
31. C42×D4×C13C2semidirect
250. C13×#117D4semidirect
385. #34741C13direct (N × H)
522. C13×C4⋊C4#41semidirect
564. C13×C22⋊C4#41semidirect
587. C2×#529C2×C13semidirect
588. C2×C4×#41C2×C13semidirect
589. #2469C2×C13semidirect
590. #2468C2×C13semidirect
591. #2467C2×C13semidirect
592. #2466C2×C13semidirect
593. #2465C2×C13semidirect
594. #2464C2×C13semidirect
595. #2463C2×C13semidirect
596. #2462C2×C13semidirect
597. #2461C2×C13semidirect
598. #2460C2×C13semidirect
599. #2459C2×C13semidirect
600. #2458C2×C13semidirect
601. #2457C2×C13semidirect
602. #2456C2×C13semidirect
603. #2456C2×C13semidirect
604. #2455C2×C13semidirect
605. #2396C2×C13semidirect
606. #2392C2×C13semidirect
607. #2388C2×C13semidirect
608. #2388C2×C13semidirect
609. C4×C22⋊Q8C2×C13semidirect
610. C4×#123C2×C13semidirect
611. C4×#123C2×C13semidirect
612. C4×#121C2×C13semidirect
613. #2298C2×C13semidirect
614. #2293C2×C13semidirect
615. #2290C2×C13semidirect
616. #2290C2×C13semidirect
617. C42×D4C2×C13semidirect
1043. #117D4×C13semidirect
1326. C4⋊C4C13×#41semidirect
1368. C22⋊C4C13×#41semidirect
1391. C13#34741direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#5292
C2×C4×C13×#412
C13×#24692
C13×#24682
C13×#24672
C13×#24662
C13×#24652
C13×#24642
C13×#24632
C13×#24622
C13×#24612
C13×#24602
C13×#24592
C13×#24582
C13×#24572
C13×#24562
C13×#24552
C13×#23962
C13×#23922
C13×#23882
C4×C13×C22⋊Q82
C4×C13×#1232
C4×C13×#1212
C13×#22982
C13×#22932
C13×#22902
C42×D4×C132
#3474113