Finite Group Databasebeta

← C13×#36771 #15723110

Subgroups — C13×#36771 #15723110

Order 3328.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2856C211yesmaximal, characteristic, complemented
2C13×#2855C211yesmaximal, characteristic, complemented
3C13×#2796C211yesmaximal, characteristic, complemented
4C13×#2794C211yesmaximal, characteristic, complemented
5C13×#2751C211yesmaximal, characteristic, complemented
6C13×#2730C211yesmaximal, characteristic, complemented
7C13×#2721C211yesmaximal, characteristic, complemented
8C13×#2714C211yesmaximal, characteristic, complemented
9C13×#2711C211yesmaximal, characteristic, complemented
10C13×#2709C211yesmaximal, characteristic, complemented
11C13×#2708C211yesmaximal, characteristic, complemented
12C13×#2705C211yesmaximal, characteristic, complemented
13C13×#2703C211yesmaximal, characteristic, complemented
14C13×#2691C211yesmaximal, characteristic, complemented
15C13×#2688C211yesmaximal, characteristic, complemented
16C13×#2681C211yesmaximal, characteristic, complemented
17C13×#2676C211yesmaximal, characteristic, complemented
18C13×#2673C211yesmaximal, characteristic, complemented
19C13×#2635C211yesmaximal, characteristic, complemented
20C13×#2635C211yesmaximal, characteristic, complemented
21C13×#2560C211yesmaximal, characteristic, complemented
22C13×#2559C211yesmaximal, characteristic, complemented
23C13×#2558C211yesmaximal, characteristic, complemented
24C13×#2557C211yesmaximal, characteristic, complemented
25C13×#2531C211yesmaximal, characteristic, complemented
26C13×#2526C211yesmaximal, characteristic, complemented
27C13×#2476C211yesmaximal, characteristic, complemented
28C13×#2471C211yesmaximal, characteristic, complemented
29C13×#2333C211yesmaximal, characteristic, complemented
30C13×#2333C211yesmaximal, characteristic, complemented
31C13×#2290C211yesmaximal, characteristic, complemented
32C2×C13×#127C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic
35C2×C13×#125C2211yescharacteristic
36C2×C13×#124C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic
39C2×C13×#123C2211yescharacteristic
40C2×C13×C22⋊Q8C2211yescharacteristic
41C2×C13×C22⋊Q8C2211yescharacteristic
42C2×C13×#121C2211yescharacteristic
43C2×C13×#121C2211yescharacteristic
44C2×C13×#121C2211yescharacteristic
45C2×C13×#121C2211yescharacteristic
46C2×C13×#121C2211yescharacteristic
47C2×C13×#121C2211yescharacteristic
48C2×C13×#121C2211yescharacteristic
49C2×C13×#121C2211yescharacteristic
50C2×C4×D4×C13C2211yescharacteristic
51C2×C13×#117C2211yescharacteristic
52C22×C42×C13C2211yescharacteristic
53C13×#400C2211yescharacteristic
54C13×#400C2211yescharacteristic
55C13×#400C2211yescharacteristic
56C13×#400C2211yescharacteristic
57C13×#400C2211yescharacteristic
58C13×#399C2211yescharacteristic
59C13×#399C2211yescharacteristic
60C13×#399C2211yescharacteristic
61C13×#398C2211yescharacteristic
62C13×#398C2211yescharacteristic
63C13×#398C2211yescharacteristic
64C13×#397C2211yescharacteristic
65C13×#397C2211yescharacteristic
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×#394C2211yescharacteristic
84C13×#394C2211yescharacteristic
85C13×#394C2211yescharacteristic
86C13×#394C2211yescharacteristic
87C13×#394C2211yescharacteristic
88C13×#394C2211yescharacteristic
89C13×#394C2211yescharacteristic
90C13×#394C2211yescharacteristic
91C13×#393C2211yescharacteristic
92C13×#393C2211yescharacteristic
93C13×#392C2211yescharacteristic
94C13×#392C2211yescharacteristic
95C13×#392C2211yescharacteristic
96C13×#392C2211yescharacteristic
97C13×#392C2211yescharacteristic
98C13×#392C2211yescharacteristic
99C13×#392C2211yescharacteristic
100C13×#392C2211yescharacteristic
101C13×#391C2211yescharacteristic
102C13×#391C2211yescharacteristic
103C13×#390C2211yescharacteristic
104C13×#390C2211yescharacteristic
105C13×#390C2211yescharacteristic
106C13×#390C2211yescharacteristic
107C13×#390C2211yescharacteristic
108C13×#390C2211yescharacteristic
109C13×#390C2211yescharacteristic
110C13×#390C2211yescharacteristic
111C13×#390C2211yescharacteristic
112C13×#390C2211yescharacteristic
113C13×#390C2211yescharacteristic
114C13×#389C2211yescharacteristic
115C13×#389C2211yescharacteristic
116C13×#389C2211yescharacteristic
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×#388C2211yescharacteristic
132C13×#388C2211yescharacteristic
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×#387C2211yescharacteristic
146C13×#387C2211yescharacteristic
147C13×#386C2211yescharacteristic
148C13×#386C2211yescharacteristic
149C13×#386C2211yescharacteristic
150C13×#386C2211yescharacteristic
151C13×#386C2211yescharacteristic
152C13×#386C2211yescharacteristic
153C13×#386C2211yescharacteristic
154C13×#386C2211yescharacteristic
155C13×#386C2211yescharacteristic
156C13×#386C2211yescharacteristic
157C13×#386C2211yescharacteristic
158C13×#386C2211yescharacteristic
159C13×#386C2211yescharacteristic
160C13×#386C2211yescharacteristic
161C13×#386C2211yescharacteristic
162C13×#386C2211yescharacteristic
163C13×#386C2211yescharacteristic
164C13×#386C2211yescharacteristic
165C13×#386C2211yescharacteristic
166C13×#385C2211yescharacteristic
167C13×#385C2211yescharacteristic
168C13×#385C2211yescharacteristic
169C13×#385C2211yescharacteristic
170C13×#385C2211yescharacteristic
171C13×#385C2211yescharacteristic
172C13×#385C2211yescharacteristic
173C13×#384C2211yescharacteristic
174C13×#381C2211yescharacteristic
175C13×#381C2211yescharacteristic
176C13×#381C2211yescharacteristic
177C13×#380C2211yescharacteristic
178C13×#380C2211yescharacteristic
179C4×C13×C4⋊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
186C13×#376C2211yescharacteristic
187C22×Q8×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×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
203C23×C4×C13C2311yescharacteristic
204C23×C4×C13C2311yescharacteristic
205C23×C4×C13C2311yescharacteristic
206C23×C4×C13C2311yescharacteristic
207C23×C4×C13C2311yescharacteristic
208C23×C4×C13C2311yescharacteristic
209C23×C4×C13C2311yescharacteristic
210C23×C4×C13C2311yescharacteristic
211C13×#127—42no—
212C13×#126—42no—
213C13×#126—42no—
214C13×#125—42no—
215C13×#124—42no—
216C13×#123—42no—
217C13×#123—42no—
218C13×#123—42no—
219C13×C22⋊Q8—42no—
220C13×C22⋊Q8—42no—
221C13×#121—24no—
222C13×#121—24no—
223C13×#121—42no—
224C13×#121—42no—
225C13×#121—42no—
226C13×#121—42no—
227C13×#121—42no—
228C13×#121—42no—
229C4×D4×C13—24no—
230C13×#117—42no—
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊C4C2311yescharacteristic
241C2×C13×C4⋊C4C2311yescharacteristic
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×C4⋊C4C2311yescharacteristic
252C2×C13×C4⋊C4C2311yescharacteristic
253C2×C13×C4⋊C4C2311yescharacteristic
254C2×C13×C4⋊C4C2311yescharacteristic
255C2×C13×C4⋊C4C2311yescharacteristic
256C2×C13×C4⋊C4C2311yescharacteristic
257C2×C13×C4⋊C4C2311yescharacteristic
258C2×C13×C4⋊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×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×C42×C13—42no—
312C2×C42×C13C2311yescharacteristic
313C2×C42×C13C2311yescharacteristic
314C2×C42×C13C2311yescharacteristic
315C2×C42×C13C2311yescharacteristic
316C2×C42×C13C2311yescharacteristic
317C2×C42×C13C2311yescharacteristic
318C2×C42×C13C2311yescharacteristic
319C2×C42×C13C2311yescharacteristic
320C2×C42×C13C2311yescharacteristic
321C2×C42×C13C2311yescharacteristic
322C2×C42×C13C2311yescharacteristic
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#36771C1311yesmaximal, characteristic, direct product factor, Sylow
364C24×C13C2411yescharacteristic
365C24×C13C2411yescharacteristic
366C24×C13C2411yescharacteristic
367C24×C13C2411yescharacteristic
368C24×C13C2411yescharacteristic
369C24×C13C2411yescharacteristic
370C2×Q8×C13—22no—
371C2×Q8×C13—41no—
372C2×Q8×C13—41no—
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—22no—
382C2×D4×C13—22no—
383C2×D4×C13—22no—
384C2×D4×C13—41no—
385C2×D4×C13—41no—
386C2×D4×C13—41no—
387C2×D4×C13—41no—
388C2×D4×C13—41no—
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13—41no—
396C2×D4×C13—41no—
397C2×D4×C13—41no—
398C2×D4×C13—41no—
399C2×D4×C13—41no—
400C2×D4×C13—41no—
401C2×D4×C13—41no—
402C2×D4×C13—41no—
403C2×D4×C13—41no—
404C2×D4×C13—41no—
405C2×D4×C13—41no—
406C2×D4×C13—41no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C2×D4×C13—41no—
410C2×D4×C13—41no—
411C2×D4×C13—41no—
412C2×D4×C13—41no—
413C2×D4×C13—41no—
414C2×D4×C13—41no—
415C2×D4×C13—41no—
416C2×D4×C13—41no—
417C2×D4×C13—41no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—22no—
421C22×C4×C13—22no—
422C22×C4×C13—41no—
423C22×C4×C13—41no—
424C22×C4×C13—41no—
425C22×C4×C13—41no—
426C22×C4×C13—41no—
427C22×C4×C13—41no—
428C22×C4×C13—41no—
429C22×C4×C13—41no—
430C22×C4×C13—41no—
431C22×C4×C13—41no—
432C22×C4×C13—41no—
433C22×C4×C13—41no—
434C22×C4×C13—41no—
435C22×C4×C13—41no—
436C22×C4×C13—41no—
437C22×C4×C13—41no—
438C22×C4×C13—41no—
439C22×C4×C13—41no—
440C22×C4×C13—41no—
441C22×C4×C13#4114yes—
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2411yescharacteristic
445C22×C4×C13C2411yescharacteristic
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2411yescharacteristic
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2411yescharacteristic
450C22×C4×C13C2411yescharacteristic
451C22×C4×C13C2411yescharacteristic
452C22×C4×C13C2411yescharacteristic
453C22×C4×C13C2411yescharacteristic
454C22×C4×C13C2411yescharacteristic
455C22×C4×C13C2411yescharacteristic
456C22×C4×C13C2411yescharacteristic
457C22×C4×C13C2411yescharacteristic
458C22×C4×C13C2411yescharacteristic
459C22×C4×C13C2411yescharacteristic
460C22×C4×C13C2411yescharacteristic
461C22×C4×C13C2411yescharacteristic
462C22×C4×C13C2411yescharacteristic
463C22×C4×C13C2411yescharacteristic
464C22×C4×C13C2411yescharacteristic
465C22×C4×C13C2411yescharacteristic
466C22×C4×C13C2411yescharacteristic
467C13×C4⋊C4—22no—
468C13×C4⋊C4—22no—
469C13×C4⋊C4—22no—
470C13×C4⋊C4—22no—
471C13×C4⋊C4—22no—
472C13×C4⋊C4—22no—
473C13×C4⋊C4—22no—
474C13×C4⋊C4—22no—
475C13×C4⋊C4—22no—
476C13×C4⋊C4—22no—
477C13×C4⋊C4—22no—
478C13×C4⋊C4—22no—
479C13×C4⋊C4—22no—
480C13×C4⋊C4—41no—
481C13×C4⋊C4—41no—
482C13×C4⋊C4—41no—
483C13×C4⋊C4—41no—
484C13×C4⋊C4—41no—
485C13×C4⋊C4—41no—
486C13×C4⋊C4—41no—
487C13×C4⋊C4—41no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4—41no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4—41no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—22no—
498C13×C22⋊C4—22no—
499C13×C22⋊C4—22no—
500C13×C22⋊C4—22no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—22no—
507C13×C22⋊C4—22no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
511C13×C22⋊C4—41no—
512C13×C22⋊C4—41no—
513C13×C22⋊C4—41no—
514C13×C22⋊C4—41no—
515C13×C22⋊C4—41no—
516C13×C22⋊C4—41no—
517C13×C22⋊C4—41no—
518C13×C22⋊C4—41no—
519C13×C22⋊C4—41no—
520C13×C22⋊C4—41no—
521C13×C22⋊C4—41no—
522C13×C22⋊C4—41no—
523C13×C22⋊C4—41no—
524C13×C22⋊C4—41no—
525C13×C22⋊C4—41no—
526C13×C22⋊C4—41no—
527C13×C22⋊C4—41no—
528C13×C22⋊C4—41no—
529C13×C22⋊C4—41no—
530C13×C22⋊C4—41no—
531C13×C22⋊C4—41no—
532C13×C22⋊C4—41no—
533C13×C22⋊C4—41no—
534C13×C22⋊C4—41no—
535C13×C22⋊C4—41no—
536C13×C22⋊C4—41no—
537C13×C22⋊C4—41no—
538C13×C22⋊C4—41no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C13×C22⋊C4—41no—
544C13×C22⋊C4—41no—
545C13×C22⋊C4—41no—
546C13×C22⋊C4—41no—
547C42×C13—22no—
548C42×C13—22no—
549C42×C13—22no—
550C42×C13—41no—
551C42×C13—41no—
552C42×C13—41no—
553C42×C13—41no—
554C42×C13—41no—
555C42×C13—41no—
556C42×C13—41no—
557C42×C13—41no—
558#2856C2×C1311yescharacteristic, complemented
559#2855C2×C1311yescharacteristic, complemented
560#2796C2×C1311yescharacteristic, complemented
561#2794C2×C1311yescharacteristic, complemented
562#2751C2×C1311yescharacteristic, complemented
563#2730C2×C1311yescharacteristic, complemented
564#2721C2×C1311yescharacteristic, complemented
565#2714C2×C1311yescharacteristic, complemented
566#2711C2×C1311yescharacteristic, complemented
567#2709C2×C1311yescharacteristic, complemented
568#2708C2×C1311yescharacteristic, complemented
569#2705C2×C1311yescharacteristic, complemented
570#2703C2×C1311yescharacteristic, complemented
571#2691C2×C1311yescharacteristic, complemented
572#2688C2×C1311yescharacteristic, complemented
573#2681C2×C1311yescharacteristic, complemented
574#2676C2×C1311yescharacteristic, complemented
575#2673C2×C1311yescharacteristic, complemented
576#2635C2×C1311yescharacteristic, complemented
577#2635C2×C1311yescharacteristic, complemented
578#2560C2×C1311yescharacteristic, complemented
579#2559C2×C1311yescharacteristic, complemented
580#2558C2×C1311yescharacteristic, complemented
581#2557C2×C1311yescharacteristic, complemented
582#2531C2×C1311yescharacteristic, complemented
583#2526C2×C1311yescharacteristic, complemented
584#2476C2×C1311yescharacteristic, complemented
585#2471C2×C1311yescharacteristic, complemented
586#2333C2×C1311yescharacteristic, complemented
587#2333C2×C1311yescharacteristic, complemented
588#2290C2×C1311yescharacteristic, complemented
589C23×C13—21no—
590C23×C13—21no—
591C23×C13—21no—
592C23×C13—21no—
593C23×C13—21no—
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—21no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
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×C13C2×#4112yes—
631C23×C13C2511yescharacteristic
632Q8×C13—82no—
633D4×C13—44no—
634D4×C13—82no—
635D4×C13—82no—
636D4×C13—82no—
637D4×C13—82no—
638D4×C13—82no—
639D4×C13—82no—
640D4×C13—82no—
641D4×C13—82no—
642D4×C13—82no—
643D4×C13—82no—
644D4×C13—82no—
645D4×C13—82no—
646D4×C13—82no—
647D4×C13—82no—
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—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—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
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—44no—
719C2×C4×C13—44no—
720C2×C4×C13—44no—
721C2×C4×C13—44no—
722C2×C4×C13—82no—
723C2×C4×C13—82no—
724C2×C4×C13—82no—
725C2×C4×C13—82no—
726C2×C4×C13C2×#4112yes—
727C2×C4×C13C2×#4112yes—
728C2×C4×C13H(5,𝔽2)12yes—
729C2×C4×C13H(5,𝔽2)12yes—
730C2×C4×C13H(5,𝔽2)12yes—
731C2×#127C22×C1311yescharacteristic
732C2×#126C22×C1311yescharacteristic
733C2×#126C22×C1311yescharacteristic
734C2×#125C22×C1311yescharacteristic
735C2×#124C22×C1311yescharacteristic
736C2×#123C22×C1311yescharacteristic
737C2×#123C22×C1311yescharacteristic
738C2×#123C22×C1311yescharacteristic
739C2×C22⋊Q8C22×C1311yescharacteristic
740C2×C22⋊Q8C22×C1311yescharacteristic
741C2×#121C22×C1311yescharacteristic
742C2×#121C22×C1311yescharacteristic
743C2×#121C22×C1311yescharacteristic
744C2×#121C22×C1311yescharacteristic
745C2×#121C22×C1311yescharacteristic
746C2×#121C22×C1311yescharacteristic
747C2×#121C22×C1311yescharacteristic
748C2×#121C22×C1311yescharacteristic
749C2×C4×D4C22×C1311yescharacteristic
750C2×#117C22×C1311yescharacteristic
751C22×C42C22×C1311yescharacteristic
752#400C22×C1311yescharacteristic
753#400C22×C1311yescharacteristic
754#400C22×C1311yescharacteristic
755#400C22×C1311yescharacteristic
756#400C22×C1311yescharacteristic
757#399C22×C1311yescharacteristic
758#399C22×C1311yescharacteristic
759#399C22×C1311yescharacteristic
760#398C22×C1311yescharacteristic
761#398C22×C1311yescharacteristic
762#398C22×C1311yescharacteristic
763#397C22×C1311yescharacteristic
764#397C22×C1311yescharacteristic
765#397C22×C1311yescharacteristic
766#397C22×C1311yescharacteristic
767#397C22×C1311yescharacteristic
768#397C22×C1311yescharacteristic
769#397C22×C1311yescharacteristic
770#396C22×C1311yescharacteristic
771#396C22×C1311yescharacteristic
772#396C22×C1311yescharacteristic
773#396C22×C1311yescharacteristic
774#394C22×C1311yescharacteristic
775#394C22×C1311yescharacteristic
776#394C22×C1311yescharacteristic
777#394C22×C1311yescharacteristic
778#394C22×C1311yescharacteristic
779#394C22×C1311yescharacteristic
780#394C22×C1311yescharacteristic
781#394C22×C1311yescharacteristic
782#394C22×C1311yescharacteristic
783#394C22×C1311yescharacteristic
784#394C22×C1311yescharacteristic
785#394C22×C1311yescharacteristic
786#394C22×C1311yescharacteristic
787#394C22×C1311yescharacteristic
788#394C22×C1311yescharacteristic
789#394C22×C1311yescharacteristic
790#393C22×C1311yescharacteristic
791#393C22×C1311yescharacteristic
792#392C22×C1311yescharacteristic
793#392C22×C1311yescharacteristic
794#392C22×C1311yescharacteristic
795#392C22×C1311yescharacteristic
796#392C22×C1311yescharacteristic
797#392C22×C1311yescharacteristic
798#392C22×C1311yescharacteristic
799#392C22×C1311yescharacteristic
800#391C22×C1311yescharacteristic
801#391C22×C1311yescharacteristic
802#390C22×C1311yescharacteristic
803#390C22×C1311yescharacteristic
804#390C22×C1311yescharacteristic
805#390C22×C1311yescharacteristic
806#390C22×C1311yescharacteristic
807#390C22×C1311yescharacteristic
808#390C22×C1311yescharacteristic
809#390C22×C1311yescharacteristic
810#390C22×C1311yescharacteristic
811#390C22×C1311yescharacteristic
812#390C22×C1311yescharacteristic
813#389C22×C1311yescharacteristic
814#389C22×C1311yescharacteristic
815#389C22×C1311yescharacteristic
816#388C22×C1311yescharacteristic
817#388C22×C1311yescharacteristic
818#388C22×C1311yescharacteristic
819#388C22×C1311yescharacteristic
820#388C22×C1311yescharacteristic
821#388C22×C1311yescharacteristic
822#388C22×C1311yescharacteristic
823#388C22×C1311yescharacteristic
824#388C22×C1311yescharacteristic
825#388C22×C1311yescharacteristic
826#388C22×C1311yescharacteristic
827#388C22×C1311yescharacteristic
828#388C22×C1311yescharacteristic
829#388C22×C1311yescharacteristic
830#388C22×C1311yescharacteristic
831#388C22×C1311yescharacteristic
832#387C22×C1311yescharacteristic
833#387C22×C1311yescharacteristic
834#387C22×C1311yescharacteristic
835#387C22×C1311yescharacteristic
836#387C22×C1311yescharacteristic
837#387C22×C1311yescharacteristic
838#387C22×C1311yescharacteristic
839#387C22×C1311yescharacteristic
840#387C22×C1311yescharacteristic
841#387C22×C1311yescharacteristic
842#387C22×C1311yescharacteristic
843#387C22×C1311yescharacteristic
844#387C22×C1311yescharacteristic
845#387C22×C1311yescharacteristic
846#386C22×C1311yescharacteristic
847#386C22×C1311yescharacteristic
848#386C22×C1311yescharacteristic
849#386C22×C1311yescharacteristic
850#386C22×C1311yescharacteristic
851#386C22×C1311yescharacteristic
852#386C22×C1311yescharacteristic
853#386C22×C1311yescharacteristic
854#386C22×C1311yescharacteristic
855#386C22×C1311yescharacteristic
856#386C22×C1311yescharacteristic
857#386C22×C1311yescharacteristic
858#386C22×C1311yescharacteristic
859#386C22×C1311yescharacteristic
860#386C22×C1311yescharacteristic
861#386C22×C1311yescharacteristic
862#386C22×C1311yescharacteristic
863#386C22×C1311yescharacteristic
864#386C22×C1311yescharacteristic
865#385C22×C1311yescharacteristic
866#385C22×C1311yescharacteristic
867#385C22×C1311yescharacteristic
868#385C22×C1311yescharacteristic
869#385C22×C1311yescharacteristic
870#385C22×C1311yescharacteristic
871#385C22×C1311yescharacteristic
872#384C22×C1311yescharacteristic
873#381C22×C1311yescharacteristic
874#381C22×C1311yescharacteristic
875#381C22×C1311yescharacteristic
876#380C22×C1311yescharacteristic
877#380C22×C1311yescharacteristic
878C4×C4⋊C4C22×C1311yescharacteristic
879C4×C22⋊C4C22×C1311yescharacteristic
880C4×C22⋊C4C22×C1311yescharacteristic
881C4×C22⋊C4C22×C1311yescharacteristic
882C4×C22⋊C4C22×C1311yescharacteristic
883C4×C22⋊C4C22×C1311yescharacteristic
884C4×C22⋊C4C22×C1311yescharacteristic
885#376C22×C1311yescharacteristic
886C22×C13—22no—
887C22×C13—22no—
888C22×C13—22no—
889C22×C13—41no—
890C22×C13—41no—
891C22×C13—41no—
892C22×C13—41no—
893C22×C13—41no—
894C22×C13—41no—
895C22×C13—41no—
896C22×C13—41no—
897C22×C13—41no—
898C22×C13—41no—
899C22×C13—41no—
900C22×C13—41no—
901C22×C13—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13—41no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13C22×#4111yescharacteristic
929C22×C13C2×H(5,𝔽2)11yescharacteristic
930C22×C13C2×H(5,𝔽2)11yescharacteristic
931C22×C13C2×H(5,𝔽2)11yescharacteristic
932C22×C13#58511yescharacteristic
933C22×C13#58511yescharacteristic
934C22×C13#58511yescharacteristic
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—22no—
939C4×C13—22no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13—41no—
947C4×C13—41no—
948C4×C13—41no—
949C4×C13—41no—
950C4×C13—41no—
951C4×C13—41no—
952C4×C13—41no—
953C4×C13—41no—
954C4×C13—41no—
955C4×C13—41no—
956C4×C13—41no—
957C4×C13—41no—
958C4×C13—41no—
959C4×C13—41no—
960C22×Q8C23×C1311yescharacteristic
961C22×D4C23×C1311yescharacteristic
962C22×D4C23×C1311yescharacteristic
963C22×D4C23×C1311yescharacteristic
964C22×D4C23×C1311yescharacteristic
965C22×D4C23×C1311yescharacteristic
966C22×D4C23×C1311yescharacteristic
967C22×D4C23×C1311yescharacteristic
968C22×D4C23×C1311yescharacteristic
969C22×D4C23×C1311yescharacteristic
970C22×D4C23×C1311yescharacteristic
971C22×D4C23×C1311yescharacteristic
972C22×D4C23×C1311yescharacteristic
973C22×D4C23×C1311yescharacteristic
974C22×D4C23×C1311yescharacteristic
975C22×D4C23×C1311yescharacteristic
976C23×C4C23×C1311yescharacteristic
977C23×C4C23×C1311yescharacteristic
978C23×C4C23×C1311yescharacteristic
979C23×C4C23×C1311yescharacteristic
980C23×C4C23×C1311yescharacteristic
981C23×C4C23×C1311yescharacteristic
982C23×C4C23×C1311yescharacteristic
983C23×C4C23×C1311yescharacteristic
984#127—42no—
985#126—42no—
986#126—42no—
987#125—42no—
988#124—42no—
989#123—42no—
990#123—42no—
991#123—42no—
992C22⋊Q8—42no—
993C22⋊Q8—42no—
994#121—24no—
995#121—24no—
996#121—42no—
997#121—42no—
998#121—42no—
999#121—42no—
1000#121—42no—
1001#121—42no—
1002C4×D4—24no—
1003#117—42no—
1004C2×C4⋊C4C23×C1311yescharacteristic
1005C2×C4⋊C4C23×C1311yescharacteristic
1006C2×C4⋊C4C23×C1311yescharacteristic
1007C2×C4⋊C4C23×C1311yescharacteristic
1008C2×C4⋊C4C23×C1311yescharacteristic
1009C2×C4⋊C4C23×C1311yescharacteristic
1010C2×C4⋊C4C23×C1311yescharacteristic
1011C2×C4⋊C4C23×C1311yescharacteristic
1012C2×C4⋊C4C23×C1311yescharacteristic
1013C2×C4⋊C4C23×C1311yescharacteristic
1014C2×C4⋊C4C23×C1311yescharacteristic
1015C2×C4⋊C4C23×C1311yescharacteristic
1016C2×C4⋊C4C23×C1311yescharacteristic
1017C2×C4⋊C4C23×C1311yescharacteristic
1018C2×C4⋊C4C23×C1311yescharacteristic
1019C2×C4⋊C4C23×C1311yescharacteristic
1020C2×C4⋊C4C23×C1311yescharacteristic
1021C2×C4⋊C4C23×C1311yescharacteristic
1022C2×C4⋊C4C23×C1311yescharacteristic
1023C2×C4⋊C4C23×C1311yescharacteristic
1024C2×C4⋊C4C23×C1311yescharacteristic
1025C2×C4⋊C4C23×C1311yescharacteristic
1026C2×C4⋊C4C23×C1311yescharacteristic
1027C2×C4⋊C4C23×C1311yescharacteristic
1028C2×C4⋊C4C23×C1311yescharacteristic
1029C2×C4⋊C4C23×C1311yescharacteristic
1030C2×C4⋊C4C23×C1311yescharacteristic
1031C2×C4⋊C4C23×C1311yescharacteristic
1032C2×C22⋊C4C23×C1311yescharacteristic
1033C2×C22⋊C4C23×C1311yescharacteristic
1034C2×C22⋊C4C23×C1311yescharacteristic
1035C2×C22⋊C4C23×C1311yescharacteristic
1036C2×C22⋊C4C23×C1311yescharacteristic
1037C2×C22⋊C4C23×C1311yescharacteristic
1038C2×C22⋊C4C23×C1311yescharacteristic
1039C2×C22⋊C4C23×C1311yescharacteristic
1040C2×C22⋊C4C23×C1311yescharacteristic
1041C2×C22⋊C4C23×C1311yescharacteristic
1042C2×C22⋊C4C23×C1311yescharacteristic
1043C2×C22⋊C4C23×C1311yescharacteristic
1044C2×C22⋊C4C23×C1311yescharacteristic
1045C2×C22⋊C4C23×C1311yescharacteristic
1046C2×C22⋊C4C23×C1311yescharacteristic
1047C2×C22⋊C4C23×C1311yescharacteristic
1048C2×C22⋊C4C23×C1311yescharacteristic
1049C2×C22⋊C4C23×C1311yescharacteristic
1050C2×C22⋊C4C23×C1311yescharacteristic
1051C2×C22⋊C4C23×C1311yescharacteristic
1052C2×C22⋊C4C23×C1311yescharacteristic
1053C2×C22⋊C4C23×C1311yescharacteristic
1054C2×C22⋊C4C23×C1311yescharacteristic
1055C2×C22⋊C4C23×C1311yescharacteristic
1056C2×C22⋊C4C23×C1311yescharacteristic
1057C2×C22⋊C4C23×C1311yescharacteristic
1058C2×C22⋊C4C23×C1311yescharacteristic
1059C2×C22⋊C4C23×C1311yescharacteristic
1060C2×C22⋊C4C23×C1311yescharacteristic
1061C2×C22⋊C4C23×C1311yescharacteristic
1062C2×C22⋊C4C23×C1311yescharacteristic
1063C2×C22⋊C4C23×C1311yescharacteristic
1064C2×C22⋊C4C23×C1311yescharacteristic
1065C2×C22⋊C4C23×C1311yescharacteristic
1066C2×C22⋊C4C23×C1311yescharacteristic
1067C2×C22⋊C4C23×C1311yescharacteristic
1068C2×C22⋊C4C23×C1311yescharacteristic
1069C2×C22⋊C4C23×C1311yescharacteristic
1070C2×C22⋊C4C23×C1311yescharacteristic
1071C2×C22⋊C4C23×C1311yescharacteristic
1072C2×C22⋊C4C23×C1311yescharacteristic
1073C2×C22⋊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×C42—42no—
1085C2×C42C23×C1311yescharacteristic
1086C2×C42C23×C1311yescharacteristic
1087C2×C42C23×C1311yescharacteristic
1088C2×C42C23×C1311yescharacteristic
1089C2×C42C23×C1311yescharacteristic
1090C2×C42C23×C1311yescharacteristic
1091C2×C42C23×C1311yescharacteristic
1092C2×C42C23×C1311yescharacteristic
1093C2×C42C23×C1311yescharacteristic
1094C2×C42C23×C1311yescharacteristic
1095C2×C42C23×C1311yescharacteristic
1096#95C23×C1311yescharacteristic
1097#95C23×C1311yescharacteristic
1098#95C23×C1311yescharacteristic
1099#95C23×C1311yescharacteristic
1100#95C23×C1311yescharacteristic
1101#95C23×C1311yescharacteristic
1102#95C23×C1311yescharacteristic
1103#95C23×C1311yescharacteristic
1104#95C23×C1311yescharacteristic
1105#95C23×C1311yescharacteristic
1106#95C23×C1311yescharacteristic
1107#95C23×C1311yescharacteristic
1108#95C23×C1311yescharacteristic
1109#95C23×C1311yescharacteristic
1110#95C23×C1311yescharacteristic
1111#95C23×C1311yescharacteristic
1112#95C23×C1311yescharacteristic
1113#95C23×C1311yescharacteristic
1114#95C23×C1311yescharacteristic
1115#95C23×C1311yescharacteristic
1116#95C23×C1311yescharacteristic
1117#95C23×C1311yescharacteristic
1118#95C23×C1311yescharacteristic
1119#95C23×C1311yescharacteristic
1120#95C23×C1311yescharacteristic
1121#95C23×C1311yescharacteristic
1122#95C23×C1311yescharacteristic
1123#95C23×C1311yescharacteristic
1124#95C23×C1311yescharacteristic
1125#95C23×C1311yescharacteristic
1126#95C23×C1311yescharacteristic
1127#95C23×C1311yescharacteristic
1128#95C23×C1311yescharacteristic
1129#95C23×C1311yescharacteristic
1130#95C23×C1311yescharacteristic
1131#95C23×C1311yescharacteristic
1132#95C23×C1311yescharacteristic
1133#95C23×C1311yescharacteristic
1134#95C23×C1311yescharacteristic
1135#95C23×C1311yescharacteristic
1136C2×C13—42no—
1137C2×C13—81no—
1138C2×C13—81no—
1139C2×C13—81no—
1140C2×C13—81no—
1141C2×C13—81no—
1142C2×C13#345511yescharacteristic
1143C2×C13#350511yescharacteristic
1144C2×C13#350811yescharacteristic
1145C2×C13#353411yescharacteristic
1146C2×C13#354211yescharacteristic
1147C2×C13#355111yescharacteristic
1148C2×C13#356211yescharacteristic
1149C24C24×C1311yescharacteristic
1150C24C24×C1311yescharacteristic
1151C24C24×C1311yescharacteristic
1152C24C24×C1311yescharacteristic
1153C24C24×C1311yescharacteristic
1154C24C24×C1311yescharacteristic
1155C2×Q8—22no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4C13×#4114yes—
1227C22×C4C24×C1311yescharacteristic
1228C22×C4C24×C1311yescharacteristic
1229C22×C4C24×C1311yescharacteristic
1230C22×C4C24×C1311yescharacteristic
1231C22×C4C24×C1311yescharacteristic
1232C22×C4C24×C1311yescharacteristic
1233C22×C4C24×C1311yescharacteristic
1234C22×C4C24×C1311yescharacteristic
1235C22×C4C24×C1311yescharacteristic
1236C22×C4C24×C1311yescharacteristic
1237C22×C4C24×C1311yescharacteristic
1238C22×C4C24×C1311yescharacteristic
1239C22×C4C24×C1311yescharacteristic
1240C22×C4C24×C1311yescharacteristic
1241C22×C4C24×C1311yescharacteristic
1242C22×C4C24×C1311yescharacteristic
1243C22×C4C24×C1311yescharacteristic
1244C22×C4C24×C1311yescharacteristic
1245C22×C4C24×C1311yescharacteristic
1246C22×C4C24×C1311yescharacteristic
1247C22×C4C24×C1311yescharacteristic
1248C22×C4C24×C1311yescharacteristic
1249C22×C4C24×C1311yescharacteristic
1250C22×C4C24×C1311yescharacteristic
1251C22×C4C24×C1311yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C13#3677111yescharacteristic, direct product factor, Sylow
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23C2×C13×#4112yes—
1386C23C25×C1311yescharacteristic
1387Q8—82no—
1388D4—44no—
1389D4—82no—
1390D4—82no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
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—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4C2×C13×#4112yes—
1482C2×C4C2×C13×#4112yes—
1483C2×C4C13×H(5,𝔽2)12yes—
1484C2×C4C13×H(5,𝔽2)12yes—
1485C2×C4C13×H(5,𝔽2)12yes—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22C22×C13×#4111yescharacteristic
1529C22C2×C13×H(5,𝔽2)11yescharacteristic
1530C22C2×C13×H(5,𝔽2)11yescharacteristic
1531C22C2×C13×H(5,𝔽2)11yescharacteristic
1532C22C13×#58511yescharacteristic
1533C22C13×#58511yescharacteristic
1534C22C13×#58511yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C2—42no—
1561C2—81no—
1562C2—81no—
1563C2—81no—
1564C2—81no—
1565C2—81no—
1566C2C13×#345511yescharacteristic
1567C2C13×#350511yescharacteristic
1568C2C13×#350811yescharacteristic
1569C2C13×#353411yescharacteristic
1570C2C13×#354211yescharacteristic
1571C2C13×#355111yescharacteristic
1572C2C13×#356211yescharacteristic
subgroupG/H
center, socleC23×C13C25
commutator, Frattini, cosocleC23C25×C13
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#2856C2semidirect
2. C13×#2855C2semidirect
3. C13×#2796C2semidirect
4. C13×#2794C2semidirect
5. C13×#2751C2semidirect
6. C13×#2730C2semidirect
7. C13×#2721C2semidirect
8. C13×#2714C2semidirect
9. C13×#2711C2semidirect
10. C13×#2709C2semidirect
11. C13×#2708C2semidirect
12. C13×#2705C2semidirect
13. C13×#2703C2semidirect
14. C13×#2691C2semidirect
15. C13×#2688C2semidirect
16. C13×#2681C2semidirect
17. C13×#2676C2semidirect
18. C13×#2673C2semidirect
19. C13×#2635C2semidirect
20. C13×#2635C2semidirect
21. C13×#2560C2semidirect
22. C13×#2559C2semidirect
23. C13×#2558C2semidirect
24. C13×#2557C2semidirect
25. C13×#2531C2semidirect
26. C13×#2526C2semidirect
27. C13×#2476C2semidirect
28. C13×#2471C2semidirect
29. C13×#2333C2semidirect
30. C13×#2333C2semidirect
31. C13×#2290C2semidirect
363. #36771C13direct (N × H)
558. #2856C2×C13semidirect
559. #2855C2×C13semidirect
560. #2796C2×C13semidirect
561. #2794C2×C13semidirect
562. #2751C2×C13semidirect
563. #2730C2×C13semidirect
564. #2721C2×C13semidirect
565. #2714C2×C13semidirect
566. #2711C2×C13semidirect
567. #2709C2×C13semidirect
568. #2708C2×C13semidirect
569. #2705C2×C13semidirect
570. #2703C2×C13semidirect
571. #2691C2×C13semidirect
572. #2688C2×C13semidirect
573. #2681C2×C13semidirect
574. #2676C2×C13semidirect
575. #2673C2×C13semidirect
576. #2635C2×C13semidirect
577. #2635C2×C13semidirect
578. #2560C2×C13semidirect
579. #2559C2×C13semidirect
580. #2558C2×C13semidirect
581. #2557C2×C13semidirect
582. #2531C2×C13semidirect
583. #2526C2×C13semidirect
584. #2476C2×C13semidirect
585. #2471C2×C13semidirect
586. #2333C2×C13semidirect
587. #2333C2×C13semidirect
588. #2290C2×C13semidirect
1343. C13#36771direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#28562
C13×#28552
C13×#27962
C13×#27942
C13×#27512
C13×#27302
C13×#27212
C13×#27142
C13×#27112
C13×#27092
C13×#27082
C13×#27052
C13×#27032
C13×#26912
C13×#26882
C13×#26812
C13×#26762
C13×#26732
C13×#26352
C13×#25602
C13×#25592
C13×#25582
C13×#25572
C13×#25312
C13×#25262
C13×#24762
C13×#24712
C13×#23332
C13×#22902
#3677113