Finite Group Databasebeta

← C13×#36856 #15723195

Subgroups — C13×#36856 #15723195

Order 3328.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2849C211yesmaximal, characteristic, complemented
2C13×#2847C211yesmaximal, characteristic, complemented
3C13×#2797C211yesmaximal, characteristic, complemented
4C13×#2782C211yesmaximal, characteristic, complemented
5C13×#2780C211yesmaximal, characteristic, complemented
6C13×#2750C211yesmaximal, characteristic, complemented
7C13×#2744C211yesmaximal, characteristic, complemented
8C13×#2708C211yesmaximal, characteristic, complemented
9C13×#2697C211yesmaximal, characteristic, complemented
10C13×#2693C211yesmaximal, characteristic, complemented
11C13×#2693C211yesmaximal, characteristic, complemented
12C13×#2688C211yesmaximal, characteristic, complemented
13C13×#2688C211yesmaximal, characteristic, complemented
14C13×#2682C211yesmaximal, characteristic, complemented
15C13×#2678C211yesmaximal, characteristic, complemented
16C13×#2673C211yesmaximal, characteristic, complemented
17C13×#2669C211yesmaximal, characteristic, complemented
18C13×#2668C211yesmaximal, characteristic, complemented
19C13×#2649C211yesmaximal, characteristic, complemented
20C13×#2648C211yesmaximal, characteristic, complemented
21C13×#2530C211yesmaximal, characteristic, complemented
22C13×#2526C211yesmaximal, characteristic, complemented
23C13×#2464C211yesmaximal, characteristic, complemented
24C13×#2457C211yesmaximal, characteristic, complemented
25C13×#2456C211yesmaximal, characteristic, complemented
26C13×#2456C211yesmaximal, characteristic, complemented
27C13×#2444C211yesmaximal, characteristic, complemented
28C13×#2425C211yesmaximal, characteristic, complemented
29C13×#2328C211yesmaximal, characteristic, complemented
30C13×#2325C211yesmaximal, characteristic, complemented
31C4×C13×#120C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C2×C13×#127C2211yescharacteristic
34C2×C13×#123C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic
36C2×C13×#123C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic, complemented
39C2×C13×#123C2211yescharacteristic, complemented
40C2×C13×#121C2211yescharacteristic
41C2×C13×#121C2211yescharacteristic
42C2×C13×#121C2211yescharacteristic
43C2×C13×#121C2211yescharacteristic
44C2×C13×#121C2211yescharacteristic
45C2×C13×#121C2211yescharacteristic
46C2×C13×#121C2211yescharacteristic
47C2×C13×#121C2211yescharacteristic
48C2×C13×#120C2211yescharacteristic
49C2×C13×#120C2211yescharacteristic
50C2×C13×#120C2211yescharacteristic
51C2×C13×#120C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic
53C2×C4×D4×C13C2211yescharacteristic
54C2×C4×D4×C13C2211yescharacteristic
55C2×C4×D4×C13C2211yescharacteristic, complemented
56C2×C4×D4×C13C2211yescharacteristic, complemented
57C13×#400C2211yescharacteristic, complemented
58C13×#400C2211yescharacteristic, complemented
59C13×#400C2211yescharacteristic, complemented
60C13×#400C2211yescharacteristic, complemented
61C13×#400C2211yescharacteristic, complemented
62C13×#400C2211yescharacteristic, complemented
63C13×#400C2211yescharacteristic, complemented
64C13×#400C2211yescharacteristic, complemented
65C13×#399C2211yescharacteristic
66C13×#398C2211yescharacteristic, complemented
67C13×#398C2211yescharacteristic, complemented
68C13×#397C2211yescharacteristic
69C13×#397C2211yescharacteristic
70C13×#397C2211yescharacteristic
71C13×#397C2211yescharacteristic
72C13×#397C2211yescharacteristic
73C13×#397C2211yescharacteristic, complemented
74C13×#397C2211yescharacteristic, complemented
75C13×#397C2211yescharacteristic, complemented
76C13×#397C2211yescharacteristic, complemented
77C13×#397C2211yescharacteristic, complemented
78C13×#396C2211yescharacteristic
79C13×#396C2211yescharacteristic
80C13×#396C2211yescharacteristic
81C13×#396C2211yescharacteristic, complemented
82C13×#396C2211yescharacteristic, complemented
83C13×#396C2211yescharacteristic, complemented
84C13×#396C2211yescharacteristic, complemented
85C13×#394C2211yescharacteristic
86C13×#394C2211yescharacteristic
87C13×#394C2211yescharacteristic
88C13×#394C2211yescharacteristic
89C13×#394C2211yescharacteristic
90C13×#394C2211yescharacteristic
91C13×#394C2211yescharacteristic
92C13×#394C2211yescharacteristic
93C13×#394C2211yescharacteristic, complemented
94C13×#394C2211yescharacteristic, complemented
95C13×#392C2211yescharacteristic
96C13×#392C2211yescharacteristic
97C13×#392C2211yescharacteristic
98C13×#392C2211yescharacteristic
99C13×#392C2211yescharacteristic
100C13×#392C2211yescharacteristic
101C13×#392C2211yescharacteristic
102C13×#392C2211yescharacteristic, complemented
103C13×#392C2211yescharacteristic, complemented
104C13×#392C2211yescharacteristic, complemented
105C13×#390C2211yescharacteristic
106C13×#390C2211yescharacteristic
107C13×#390C2211yescharacteristic
108C13×#390C2211yescharacteristic, complemented
109C13×#390C2211yescharacteristic, complemented
110C13×#389C2211yescharacteristic, complemented
111C13×#389C2211yescharacteristic, complemented
112C13×#388C2211yescharacteristic
113C13×#388C2211yescharacteristic
114C13×#388C2211yescharacteristic
115C13×#388C2211yescharacteristic
116C13×#388C2211yescharacteristic
117C13×#388C2211yescharacteristic, complemented
118C13×#388C2211yescharacteristic, complemented
119C13×#388C2211yescharacteristic, complemented
120C13×#388C2211yescharacteristic, complemented
121C13×#388C2211yescharacteristic, complemented
122C13×#388C2211yescharacteristic, complemented
123C13×#388C2211yescharacteristic, complemented
124C13×#387C2211yescharacteristic, complemented
125C13×#387C2211yescharacteristic, complemented
126C13×#387C2211yescharacteristic, complemented
127C13×#387C2211yescharacteristic, complemented
128C13×#387C2211yescharacteristic, complemented
129C13×#387C2211yescharacteristic, complemented
130C13×#387C2211yescharacteristic, complemented
131C13×#386C2211yescharacteristic
132C13×#386C2211yescharacteristic
133C13×#386C2211yescharacteristic
134C13×#386C2211yescharacteristic
135C13×#386C2211yescharacteristic
136C13×#386C2211yescharacteristic
137C13×#386C2211yescharacteristic
138C13×#386C2211yescharacteristic
139C13×#386C2211yescharacteristic
140C13×#386C2211yescharacteristic
141C13×#386C2211yescharacteristic
142C13×#386C2211yescharacteristic
143C13×#386C2211yescharacteristic
144C13×#386C2211yescharacteristic
145C13×#386C2211yescharacteristic
146C13×#386C2211yescharacteristic
147C13×#386C2211yescharacteristic
148C13×#386C2211yescharacteristic
149C13×#386C2211yescharacteristic
150C13×#386C2211yescharacteristic
151C13×#386C2211yescharacteristic
152C13×#386C2211yescharacteristic, complemented
153C13×#386C2211yescharacteristic, complemented
154C13×#386C2211yescharacteristic, complemented
155C13×#386C2211yescharacteristic, complemented
156C13×#386C2211yescharacteristic, complemented
157C13×#386C2211yescharacteristic, complemented
158C13×#386C2211yescharacteristic, complemented
159C13×#385C2211yescharacteristic
160C13×#385C2211yescharacteristic
161C13×#385C2211yescharacteristic
162C13×#385C2211yescharacteristic
163C13×#385C2211yescharacteristic
164C13×#385C2211yescharacteristic
165C13×#385C2211yescharacteristic
166C13×#385C2211yescharacteristic, complemented
167C13×#385C2211yescharacteristic, complemented
168C13×#385C2211yescharacteristic, complemented
169C13×#385C2211yescharacteristic, complemented
170C13×#385C2211yescharacteristic, complemented
171C13×#382C2211yescharacteristic, complemented
172C13×#381C2211yescharacteristic
173C13×#381C2211yescharacteristic
174C13×#381C2211yescharacteristic, complemented
175C13×#380C2211yescharacteristic
176C13×#380C2211yescharacteristic
177C13×#380C2211yescharacteristic
178C13×#380C2211yescharacteristic, complemented
179C13×#380C2211yescharacteristic, complemented
180C13×#379C2211yescharacteristic
181C13×#379C2211yescharacteristic
182C4×C13×C22⋊C4C2211yescharacteristic
183C4×C13×C22⋊C4C2211yescharacteristic
184C4×C13×C22⋊C4C2211yescharacteristic
185C13×#376C2211yescharacteristic, complemented
186C2×C13×#95C2211yescharacteristic, complemented
187C25×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
203C22×D4×C13C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C23×C4×C13—42no—
207C23×C4×C13—42no—
208C23×C4×C13—42no—
209C23×C4×C13C2311yescharacteristic
210C23×C4×C13C2311yescharacteristic
211C23×C4×C13C2311yescharacteristic
212C23×C4×C13C2311yescharacteristic
213C23×C4×C13C2311yescharacteristic
214C23×C4×C13C2311yescharacteristic
215C23×C4×C13C2311yescharacteristic
216C23×C4×C13C2311yescharacteristic
217C23×C4×C13C2311yescharacteristic
218C23×C4×C13C2311yescharacteristic
219C23×C4×C13C2311yescharacteristic
220C23×C4×C13C2311yescharacteristic
221C13×#127—24no—
222C13×#123—42no—
223C13×#123—42no—
224C13×#123—42no—
225C13×#123—42no—
226C13×#123—42no—
227C13×#123—42no—
228C13×#121—24no—
229C13×#121—42no—
230C13×#121—42no—
231C13×#121—42no—
232C13×#121—42no—
233C13×#121—42no—
234C13×#121—42no—
235C13×#121—42no—
236C13×#120—24no—
237C13×#120—42no—
238C13×#120—42no—
239C13×#120—42no—
240C4×D4×C13—42no—
241C4×D4×C13—42no—
242C4×D4×C13—42no—
243C4×D4×C13—42no—
244C4×D4×C13—42no—
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×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×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×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×C13C2311yescharacteristic
324C2×C42×C13C2311yescharacteristic
325C2×C42×C13C2311yescharacteristic
326C2×C42×C13C2311yescharacteristic
327C2×C42×C13C2311yescharacteristic
328C2×C42×C13C2311yescharacteristic
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
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367C13×#95C2311yescharacteristic
368C13×#95C2311yescharacteristic
369#36856C1311yesmaximal, characteristic, direct product factor, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—41no—
374C24×C13—41no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C24×C13C2411yescharacteristic
382C24×C13C2411yescharacteristic
383C24×C13C2411yescharacteristic
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13—22no—
391C2×D4×C13—22no—
392C2×D4×C13—22no—
393C2×D4×C13—22no—
394C2×D4×C13—22no—
395C2×D4×C13—22no—
396C2×D4×C13—22no—
397C2×D4×C13—22no—
398C2×D4×C13—22no—
399C2×D4×C13—22no—
400C2×D4×C13—22no—
401C2×D4×C13—22no—
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—
418C2×D4×C13—41no—
419C2×D4×C13—41no—
420C2×D4×C13—41no—
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—
428C2×D4×C13—41no—
429C2×D4×C13—41no—
430C2×D4×C13—41no—
431C2×D4×C13—41no—
432C2×D4×C13—41no—
433C2×D4×C13—41no—
434C2×D4×C13—41no—
435C2×D4×C13—41no—
436C2×D4×C13—41no—
437C2×D4×C13#4114yes—
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—41no—
449C22×C4×C13—41no—
450C22×C4×C13—41no—
451C22×C4×C13—41no—
452C22×C4×C13—41no—
453C22×C4×C13—41no—
454C22×C4×C13—41no—
455C22×C4×C13—41no—
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×C13—41no—
465C22×C4×C13—41no—
466C22×C4×C13—41no—
467C22×C4×C13—41no—
468C22×C4×C13—41no—
469C22×C4×C13—41no—
470C22×C4×C13—41no—
471C22×C4×C13—41no—
472C22×C4×C13—41no—
473C22×C4×C13—41no—
474C22×C4×C13—416no—
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
493C22×C4×C13C2411yescharacteristic
494C22×C4×C13C2411yescharacteristic
495C22×C4×C13C2411yescharacteristic
496C22×C4×C13C2411yescharacteristic
497C22×C4×C13C2411yescharacteristic
498C22×C4×C13C2411yescharacteristic
499C13×C4⋊C4—22no—
500C13×C4⋊C4—22no—
501C13×C4⋊C4—22no—
502C13×C4⋊C4—22no—
503C13×C4⋊C4—22no—
504C13×C4⋊C4—41no—
505C13×C4⋊C4—41no—
506C13×C4⋊C4—41no—
507C13×C4⋊C4—41no—
508C13×C4⋊C4—41no—
509C13×C4⋊C4—41no—
510C13×C4⋊C4—41no—
511C13×C4⋊C4—41no—
512C13×C4⋊C4—41no—
513C13×C4⋊C4—41no—
514C13×C4⋊C4—41no—
515C13×C4⋊C4—41no—
516C13×C4⋊C4—41no—
517C13×C4⋊C4—41no—
518C13×C4⋊C4—41no—
519C13×C4⋊C4—41no—
520C13×C4⋊C4—41no—
521C13×C4⋊C4—41no—
522C13×C4⋊C4—41no—
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—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—
547C13×C22⋊C4—41no—
548C13×C22⋊C4—41no—
549C13×C22⋊C4—41no—
550C13×C22⋊C4—41no—
551C13×C22⋊C4—41no—
552C13×C22⋊C4—41no—
553C13×C22⋊C4—41no—
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⋊C4—41no—
563C13×C22⋊C4—41no—
564C13×C22⋊C4—41no—
565C13×C22⋊C4—41no—
566C13×C22⋊C4—41no—
567C13×C22⋊C4—41no—
568C13×C22⋊C4—41no—
569C13×C22⋊C4—41no—
570C13×C22⋊C4—41no—
571C13×C22⋊C4—41no—
572C13×C22⋊C4—41no—
573C13×C22⋊C4—41no—
574C13×C22⋊C4—41no—
575C13×C22⋊C4—41no—
576C13×C22⋊C4—41no—
577C42×C13—22no—
578C42×C13—22no—
579C42×C13—41no—
580C42×C13—41no—
581C42×C13—41no—
582C42×C13—41no—
583#2849C2×C1311yescharacteristic, complemented
584#2847C2×C1311yescharacteristic, complemented
585#2797C2×C1311yescharacteristic, complemented
586#2782C2×C1311yescharacteristic, complemented
587#2780C2×C1311yescharacteristic, complemented
588#2750C2×C1311yescharacteristic, complemented
589#2744C2×C1311yescharacteristic, complemented
590#2708C2×C1311yescharacteristic, complemented
591#2697C2×C1311yescharacteristic, complemented
592#2693C2×C1311yescharacteristic, complemented
593#2693C2×C1311yescharacteristic, complemented
594#2688C2×C1311yescharacteristic, complemented
595#2688C2×C1311yescharacteristic, complemented
596#2682C2×C1311yescharacteristic, complemented
597#2678C2×C1311yescharacteristic, complemented
598#2673C2×C1311yescharacteristic, complemented
599#2669C2×C1311yescharacteristic, complemented
600#2668C2×C1311yescharacteristic, complemented
601#2649C2×C1311yescharacteristic, complemented
602#2648C2×C1311yescharacteristic, complemented
603#2530C2×C1311yescharacteristic, complemented
604#2526C2×C1311yescharacteristic, complemented
605#2464C2×C1311yescharacteristic, complemented
606#2457C2×C1311yescharacteristic, complemented
607#2456C2×C1311yescharacteristic, complemented
608#2456C2×C1311yescharacteristic, complemented
609#2444C2×C1311yescharacteristic, complemented
610#2425C2×C1311yescharacteristic, complemented
611#2328C2×C1311yescharacteristic, complemented
612#2325C2×C1311yescharacteristic, complemented
613C4×#120C2×C1311yescharacteristic, complemented
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×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×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—21no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—44no—
660C23×C13—44no—
661C23×C13—44no—
662C23×C13—44no—
663C23×C13—44no—
664C23×C13—44no—
665C23×C13—44no—
666C23×C13C2×#4112yes—
667C23×C13C2×#4112yes—
668C23×C13H(5,𝔽2)12yes—
669C23×C13H(5,𝔽2)12yes—
670C23×C13C2511yescharacteristic
671D4×C13—44no—
672D4×C13—44no—
673D4×C13—44no—
674D4×C13—44no—
675D4×C13—44no—
676D4×C13—82no—
677D4×C13—82no—
678D4×C13—82no—
679D4×C13—82no—
680D4×C13—82no—
681D4×C13—82no—
682D4×C13—82no—
683D4×C13—82no—
684D4×C13—82no—
685D4×C13—82no—
686D4×C13—82no—
687D4×C13—82no—
688D4×C13—82no—
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—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—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—44no—
759C2×C4×C13—44no—
760C2×C4×C13—44no—
761C2×C4×C13—44no—
762C2×C4×C13—44no—
763C2×C4×C13—44no—
764C2×C4×C13—82no—
765C2×C4×C13—82no—
766C2×C4×C13—82no—
767C2×C4×C13—82no—
768C2×C4×C13—82no—
769C2×C4×C13—82no—
770C2×C4×C13C2×#4112yes—
771C2×C4×C13H(5,𝔽2)12yes—
772C2×C4×C13H(5,𝔽2)12yes—
773C24×C4C22×C1311yescharacteristic
774C2×#127C22×C1311yescharacteristic
775C2×#123C22×C1311yescharacteristic
776C2×#123C22×C1311yescharacteristic
777C2×#123C22×C1311yescharacteristic
778C2×#123C22×C1311yescharacteristic
779C2×#123C22×C1311yescharacteristic, complemented
780C2×#123C22×C1311yescharacteristic, complemented
781C2×#121C22×C1311yescharacteristic
782C2×#121C22×C1311yescharacteristic
783C2×#121C22×C1311yescharacteristic
784C2×#121C22×C1311yescharacteristic
785C2×#121C22×C1311yescharacteristic
786C2×#121C22×C1311yescharacteristic
787C2×#121C22×C1311yescharacteristic
788C2×#121C22×C1311yescharacteristic
789C2×#120C22×C1311yescharacteristic
790C2×#120C22×C1311yescharacteristic
791C2×#120C22×C1311yescharacteristic
792C2×#120C22×C1311yescharacteristic
793C2×C4×D4C22×C1311yescharacteristic
794C2×C4×D4C22×C1311yescharacteristic
795C2×C4×D4C22×C1311yescharacteristic
796C2×C4×D4C22×C1311yescharacteristic, complemented
797C2×C4×D4C22×C1311yescharacteristic, complemented
798#400C22×C1311yescharacteristic, complemented
799#400C22×C1311yescharacteristic, complemented
800#400C22×C1311yescharacteristic, complemented
801#400C22×C1311yescharacteristic, complemented
802#400C22×C1311yescharacteristic, complemented
803#400C22×C1311yescharacteristic, complemented
804#400C22×C1311yescharacteristic, complemented
805#400C22×C1311yescharacteristic, complemented
806#399C22×C1311yescharacteristic
807#398C22×C1311yescharacteristic, complemented
808#398C22×C1311yescharacteristic, complemented
809#397C22×C1311yescharacteristic
810#397C22×C1311yescharacteristic
811#397C22×C1311yescharacteristic
812#397C22×C1311yescharacteristic
813#397C22×C1311yescharacteristic
814#397C22×C1311yescharacteristic, complemented
815#397C22×C1311yescharacteristic, complemented
816#397C22×C1311yescharacteristic, complemented
817#397C22×C1311yescharacteristic, complemented
818#397C22×C1311yescharacteristic, complemented
819#396C22×C1311yescharacteristic
820#396C22×C1311yescharacteristic
821#396C22×C1311yescharacteristic
822#396C22×C1311yescharacteristic, complemented
823#396C22×C1311yescharacteristic, complemented
824#396C22×C1311yescharacteristic, complemented
825#396C22×C1311yescharacteristic, complemented
826#394C22×C1311yescharacteristic
827#394C22×C1311yescharacteristic
828#394C22×C1311yescharacteristic
829#394C22×C1311yescharacteristic
830#394C22×C1311yescharacteristic
831#394C22×C1311yescharacteristic
832#394C22×C1311yescharacteristic
833#394C22×C1311yescharacteristic
834#394C22×C1311yescharacteristic, complemented
835#394C22×C1311yescharacteristic, complemented
836#392C22×C1311yescharacteristic
837#392C22×C1311yescharacteristic
838#392C22×C1311yescharacteristic
839#392C22×C1311yescharacteristic
840#392C22×C1311yescharacteristic
841#392C22×C1311yescharacteristic
842#392C22×C1311yescharacteristic
843#392C22×C1311yescharacteristic, complemented
844#392C22×C1311yescharacteristic, complemented
845#392C22×C1311yescharacteristic, complemented
846#390C22×C1311yescharacteristic
847#390C22×C1311yescharacteristic
848#390C22×C1311yescharacteristic
849#390C22×C1311yescharacteristic, complemented
850#390C22×C1311yescharacteristic, complemented
851#389C22×C1311yescharacteristic, complemented
852#389C22×C1311yescharacteristic, complemented
853#388C22×C1311yescharacteristic
854#388C22×C1311yescharacteristic
855#388C22×C1311yescharacteristic
856#388C22×C1311yescharacteristic
857#388C22×C1311yescharacteristic
858#388C22×C1311yescharacteristic, complemented
859#388C22×C1311yescharacteristic, complemented
860#388C22×C1311yescharacteristic, complemented
861#388C22×C1311yescharacteristic, complemented
862#388C22×C1311yescharacteristic, complemented
863#388C22×C1311yescharacteristic, complemented
864#388C22×C1311yescharacteristic, complemented
865#387C22×C1311yescharacteristic, complemented
866#387C22×C1311yescharacteristic, complemented
867#387C22×C1311yescharacteristic, complemented
868#387C22×C1311yescharacteristic, complemented
869#387C22×C1311yescharacteristic, complemented
870#387C22×C1311yescharacteristic, complemented
871#387C22×C1311yescharacteristic, complemented
872#386C22×C1311yescharacteristic
873#386C22×C1311yescharacteristic
874#386C22×C1311yescharacteristic
875#386C22×C1311yescharacteristic
876#386C22×C1311yescharacteristic
877#386C22×C1311yescharacteristic
878#386C22×C1311yescharacteristic
879#386C22×C1311yescharacteristic
880#386C22×C1311yescharacteristic
881#386C22×C1311yescharacteristic
882#386C22×C1311yescharacteristic
883#386C22×C1311yescharacteristic
884#386C22×C1311yescharacteristic
885#386C22×C1311yescharacteristic
886#386C22×C1311yescharacteristic
887#386C22×C1311yescharacteristic
888#386C22×C1311yescharacteristic
889#386C22×C1311yescharacteristic
890#386C22×C1311yescharacteristic
891#386C22×C1311yescharacteristic
892#386C22×C1311yescharacteristic
893#386C22×C1311yescharacteristic, complemented
894#386C22×C1311yescharacteristic, complemented
895#386C22×C1311yescharacteristic, complemented
896#386C22×C1311yescharacteristic, complemented
897#386C22×C1311yescharacteristic, complemented
898#386C22×C1311yescharacteristic, complemented
899#386C22×C1311yescharacteristic, complemented
900#385C22×C1311yescharacteristic
901#385C22×C1311yescharacteristic
902#385C22×C1311yescharacteristic
903#385C22×C1311yescharacteristic
904#385C22×C1311yescharacteristic
905#385C22×C1311yescharacteristic
906#385C22×C1311yescharacteristic
907#385C22×C1311yescharacteristic, complemented
908#385C22×C1311yescharacteristic, complemented
909#385C22×C1311yescharacteristic, complemented
910#385C22×C1311yescharacteristic, complemented
911#385C22×C1311yescharacteristic, complemented
912#382C22×C1311yescharacteristic, complemented
913#381C22×C1311yescharacteristic
914#381C22×C1311yescharacteristic
915#381C22×C1311yescharacteristic, complemented
916#380C22×C1311yescharacteristic
917#380C22×C1311yescharacteristic
918#380C22×C1311yescharacteristic
919#380C22×C1311yescharacteristic, complemented
920#380C22×C1311yescharacteristic, complemented
921#379C22×C1311yescharacteristic
922#379C22×C1311yescharacteristic
923C4×C22⋊C4C22×C1311yescharacteristic
924C4×C22⋊C4C22×C1311yescharacteristic
925C4×C22⋊C4C22×C1311yescharacteristic
926#376C22×C1311yescharacteristic, complemented
927C2×#95C22×C1311yescharacteristic, complemented
928C22×C13—22no—
929C22×C13—22no—
930C22×C13—22no—
931C22×C13—22no—
932C22×C13—22no—
933C22×C13—22no—
934C22×C13—22no—
935C22×C13—22no—
936C22×C13—22no—
937C22×C13—22no—
938C22×C13—22no—
939C22×C13—22no—
940C22×C13—416no—
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×C13—41no—
950C22×C13—41no—
951C22×C13—41no—
952C22×C13—41no—
953C22×C13—41no—
954C22×C13—41no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13—41no—
959C22×C13—41no—
960C22×C13—41no—
961C22×C13—41no—
962C22×C13—41no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13—41no—
975C22×C13—41no—
976C22×C13—41no—
977C22×C13—41no—
978C22×C13C22×#4111yescharacteristic
979C22×C13C2×H(5,𝔽2)11yescharacteristic
980C22×C13C2×H(5,𝔽2)11yescharacteristic
981C22×C13C2×H(5,𝔽2)11yescharacteristic
982C22×C13C2×H(5,𝔽2)11yescharacteristic
983C22×C13#58511yescharacteristic
984C22×C13#58511yescharacteristic
985C4×C13—22no—
986C4×C13—22no—
987C4×C13—22no—
988C4×C13—41no—
989C4×C13—41no—
990C4×C13—41no—
991C4×C13—41no—
992C4×C13—41no—
993C4×C13—41no—
994C4×C13—41no—
995C4×C13—41no—
996C4×C13—41no—
997C4×C13—41no—
998C4×C13—41no—
999C4×C13—41no—
1000C4×C13—41no—
1001C4×C13—41no—
1002C4×C13—41no—
1003C4×C13—41no—
1004C4×C13—41no—
1005C4×C13—41no—
1006C4×C13—41no—
1007C4×C13—41no—
1008C4×C13—41no—
1009C25C23×C1311yescharacteristic
1010C22×D4C23×C1311yescharacteristic
1011C22×D4C23×C1311yescharacteristic
1012C22×D4C23×C1311yescharacteristic
1013C22×D4C23×C1311yescharacteristic
1014C22×D4C23×C1311yescharacteristic
1015C22×D4C23×C1311yescharacteristic
1016C22×D4C23×C1311yescharacteristic
1017C22×D4C23×C1311yescharacteristic
1018C22×D4C23×C1311yescharacteristic
1019C22×D4C23×C1311yescharacteristic
1020C22×D4C23×C1311yescharacteristic
1021C22×D4C23×C1311yescharacteristic
1022C22×D4C23×C1311yescharacteristic
1023C22×D4C23×C1311yescharacteristic
1024C22×D4C23×C1311yescharacteristic
1025C22×D4C23×C1311yescharacteristic
1026C22×D4C23×C1311yescharacteristic
1027C22×D4C23×C1311yescharacteristic
1028C23×C4—42no—
1029C23×C4—42no—
1030C23×C4—42no—
1031C23×C4C23×C1311yescharacteristic
1032C23×C4C23×C1311yescharacteristic
1033C23×C4C23×C1311yescharacteristic
1034C23×C4C23×C1311yescharacteristic
1035C23×C4C23×C1311yescharacteristic
1036C23×C4C23×C1311yescharacteristic
1037C23×C4C23×C1311yescharacteristic
1038C23×C4C23×C1311yescharacteristic
1039C23×C4C23×C1311yescharacteristic
1040C23×C4C23×C1311yescharacteristic
1041C23×C4C23×C1311yescharacteristic
1042C23×C4C23×C1311yescharacteristic
1043#127—24no—
1044#123—42no—
1045#123—42no—
1046#123—42no—
1047#123—42no—
1048#123—42no—
1049#123—42no—
1050#121—24no—
1051#121—42no—
1052#121—42no—
1053#121—42no—
1054#121—42no—
1055#121—42no—
1056#121—42no—
1057#121—42no—
1058#120—24no—
1059#120—42no—
1060#120—42no—
1061#120—42no—
1062C4×D4—42no—
1063C4×D4—42no—
1064C4×D4—42no—
1065C4×D4—42no—
1066C4×D4—42no—
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×C4⋊C4C23×C1311yescharacteristic
1075C2×C4⋊C4C23×C1311yescharacteristic
1076C2×C4⋊C4C23×C1311yescharacteristic
1077C2×C4⋊C4C23×C1311yescharacteristic
1078C2×C4⋊C4C23×C1311yescharacteristic
1079C2×C4⋊C4C23×C1311yescharacteristic
1080C2×C4⋊C4C23×C1311yescharacteristic
1081C2×C4⋊C4C23×C1311yescharacteristic
1082C2×C4⋊C4C23×C1311yescharacteristic
1083C2×C4⋊C4C23×C1311yescharacteristic
1084C2×C4⋊C4C23×C1311yescharacteristic
1085C2×C4⋊C4C23×C1311yescharacteristic
1086C2×C4⋊C4C23×C1311yescharacteristic
1087C2×C4⋊C4C23×C1311yescharacteristic
1088C2×C4⋊C4C23×C1311yescharacteristic
1089C2×C4⋊C4C23×C1311yescharacteristic
1090C2×C4⋊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×C22⋊C4C23×C1311yescharacteristic
1117C2×C22⋊C4C23×C1311yescharacteristic
1118C2×C22⋊C4C23×C1311yescharacteristic
1119C2×C22⋊C4C23×C1311yescharacteristic
1120C2×C22⋊C4C23×C1311yescharacteristic
1121C2×C22⋊C4C23×C1311yescharacteristic
1122C2×C22⋊C4C23×C1311yescharacteristic
1123C2×C22⋊C4C23×C1311yescharacteristic
1124C2×C22⋊C4C23×C1311yescharacteristic
1125C2×C22⋊C4C23×C1311yescharacteristic
1126C2×C22⋊C4C23×C1311yescharacteristic
1127C2×C22⋊C4C23×C1311yescharacteristic
1128C2×C22⋊C4C23×C1311yescharacteristic
1129C2×C22⋊C4C23×C1311yescharacteristic
1130C2×C22⋊C4C23×C1311yescharacteristic
1131C2×C22⋊C4C23×C1311yescharacteristic
1132C2×C22⋊C4C23×C1311yescharacteristic
1133C2×C22⋊C4C23×C1311yescharacteristic
1134C2×C22⋊C4C23×C1311yescharacteristic
1135C2×C22⋊C4C23×C1311yescharacteristic
1136C2×C22⋊C4C23×C1311yescharacteristic
1137C2×C22⋊C4C23×C1311yescharacteristic
1138C2×C22⋊C4C23×C1311yescharacteristic
1139C2×C22⋊C4C23×C1311yescharacteristic
1140C2×C22⋊C4C23×C1311yescharacteristic
1141C2×C22⋊C4C23×C1311yescharacteristic
1142C2×C22⋊C4C23×C1311yescharacteristic
1143C2×C22⋊C4C23×C1311yescharacteristic
1144C2×C22⋊C4C23×C1311yescharacteristic
1145C2×C42C23×C1311yescharacteristic
1146C2×C42C23×C1311yescharacteristic
1147C2×C42C23×C1311yescharacteristic
1148C2×C42C23×C1311yescharacteristic
1149C2×C42C23×C1311yescharacteristic
1150C2×C42C23×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
1178#95C23×C1311yescharacteristic
1179#95C23×C1311yescharacteristic
1180#95C23×C1311yescharacteristic
1181#95C23×C1311yescharacteristic
1182#95C23×C1311yescharacteristic
1183#95C23×C1311yescharacteristic
1184#95C23×C1311yescharacteristic
1185#95C23×C1311yescharacteristic
1186#95C23×C1311yescharacteristic
1187#95C23×C1311yescharacteristic
1188#95C23×C1311yescharacteristic
1189#95C23×C1311yescharacteristic
1190#95C23×C1311yescharacteristic
1191C2×C13—42no—
1192C2×C13—42no—
1193C2×C13—42no—
1194C2×C13—42no—
1195C2×C13—81no—
1196C2×C13—81no—
1197C2×C13—81no—
1198C2×C13#345911yescharacteristic
1199C2×C13#351311yescharacteristic
1200C2×C13#351911yescharacteristic
1201C2×C13#353211yescharacteristic
1202C2×C13#353411yescharacteristic
1203C2×C13#353911yescharacteristic
1204C2×C13#354211yescharacteristic
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24C24×C1311yescharacteristic
1213C24C24×C1311yescharacteristic
1214C24C24×C1311yescharacteristic
1215C24C24×C1311yescharacteristic
1216C24C24×C1311yescharacteristic
1217C24C24×C1311yescharacteristic
1218C24C24×C1311yescharacteristic
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4C13×#4114yes—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
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—416no—
1310C22×C4C24×C1311yescharacteristic
1311C22×C4C24×C1311yescharacteristic
1312C22×C4C24×C1311yescharacteristic
1313C22×C4C24×C1311yescharacteristic
1314C22×C4C24×C1311yescharacteristic
1315C22×C4C24×C1311yescharacteristic
1316C22×C4C24×C1311yescharacteristic
1317C22×C4C24×C1311yescharacteristic
1318C22×C4C24×C1311yescharacteristic
1319C22×C4C24×C1311yescharacteristic
1320C22×C4C24×C1311yescharacteristic
1321C22×C4C24×C1311yescharacteristic
1322C22×C4C24×C1311yescharacteristic
1323C22×C4C24×C1311yescharacteristic
1324C22×C4C24×C1311yescharacteristic
1325C22×C4C24×C1311yescharacteristic
1326C22×C4C24×C1311yescharacteristic
1327C22×C4C24×C1311yescharacteristic
1328C22×C4C24×C1311yescharacteristic
1329C22×C4C24×C1311yescharacteristic
1330C22×C4C24×C1311yescharacteristic
1331C22×C4C24×C1311yescharacteristic
1332C22×C4C24×C1311yescharacteristic
1333C22×C4C24×C1311yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C42—22no—
1413C42—22no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C13#3685611yescharacteristic, direct product factor, Sylow
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×C13×#4112yes—
1472C23C2×C13×#4112yes—
1473C23C13×H(5,𝔽2)12yes—
1474C23C13×H(5,𝔽2)12yes—
1475C23C25×C1311yescharacteristic
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
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—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4C2×C13×#4112yes—
1576C2×C4C13×H(5,𝔽2)12yes—
1577C2×C4C13×H(5,𝔽2)12yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×C13×#4111yescharacteristic
1629C22C2×C13×H(5,𝔽2)11yescharacteristic
1630C22C2×C13×H(5,𝔽2)11yescharacteristic
1631C22C2×C13×H(5,𝔽2)11yescharacteristic
1632C22C2×C13×H(5,𝔽2)11yescharacteristic
1633C22C13×#58511yescharacteristic
1634C22C13×#58511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C13×#345911yescharacteristic
1667C2C13×#351311yescharacteristic
1668C2C13×#351911yescharacteristic
1669C2C13×#353211yescharacteristic
1670C2C13×#353411yescharacteristic
1671C2C13×#353911yescharacteristic
1672C2C13×#354211yescharacteristic
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×#2849C2semidirect
2. C13×#2847C2semidirect
3. C13×#2797C2semidirect
4. C13×#2782C2semidirect
5. C13×#2780C2semidirect
6. C13×#2750C2semidirect
7. C13×#2744C2semidirect
8. C13×#2708C2semidirect
9. C13×#2697C2semidirect
10. C13×#2693C2semidirect
11. C13×#2693C2semidirect
12. C13×#2688C2semidirect
13. C13×#2688C2semidirect
14. C13×#2682C2semidirect
15. C13×#2678C2semidirect
16. C13×#2673C2semidirect
17. C13×#2669C2semidirect
18. C13×#2668C2semidirect
19. C13×#2649C2semidirect
20. C13×#2648C2semidirect
21. C13×#2530C2semidirect
22. C13×#2526C2semidirect
23. C13×#2464C2semidirect
24. C13×#2457C2semidirect
25. C13×#2456C2semidirect
26. C13×#2456C2semidirect
27. C13×#2444C2semidirect
28. C13×#2425C2semidirect
29. C13×#2328C2semidirect
30. C13×#2325C2semidirect
31. C4×C13×#120C2semidirect
38. C2×C13×#123C22semidirect
39. C2×C13×#123C22semidirect
55. C2×C4×D4×C13C22semidirect
56. C2×C4×D4×C13C22semidirect
57. C13×#400C22semidirect
58. C13×#400C22semidirect
59. C13×#400C22semidirect
60. C13×#400C22semidirect
61. C13×#400C22semidirect
62. C13×#400C22semidirect
63. C13×#400C22semidirect
64. C13×#400C22semidirect
66. C13×#398C22semidirect
67. C13×#398C22semidirect
73. C13×#397C22semidirect
74. C13×#397C22semidirect
75. C13×#397C22semidirect
76. C13×#397C22semidirect
77. C13×#397C22semidirect
81. C13×#396C22semidirect
82. C13×#396C22semidirect
83. C13×#396C22semidirect
84. C13×#396C22semidirect
93. C13×#394C22semidirect
94. C13×#394C22semidirect
102. C13×#392C22semidirect
103. C13×#392C22semidirect
104. C13×#392C22semidirect
108. C13×#390C22semidirect
109. C13×#390C22semidirect
110. C13×#389C22semidirect
111. C13×#389C22semidirect
117. C13×#388C22semidirect
118. C13×#388C22semidirect
119. C13×#388C22semidirect
120. C13×#388C22semidirect
121. C13×#388C22semidirect
122. C13×#388C22semidirect
123. C13×#388C22semidirect
124. C13×#387C22semidirect
125. C13×#387C22semidirect
126. C13×#387C22semidirect
127. C13×#387C22semidirect
128. C13×#387C22semidirect
129. C13×#387C22semidirect
130. C13×#387C22semidirect
152. C13×#386C22semidirect
153. C13×#386C22semidirect
154. C13×#386C22semidirect
155. C13×#386C22semidirect
156. C13×#386C22semidirect
157. C13×#386C22semidirect
158. C13×#386C22semidirect
166. C13×#385C22semidirect
167. C13×#385C22semidirect
168. C13×#385C22semidirect
169. C13×#385C22semidirect
170. C13×#385C22semidirect
171. C13×#382C22semidirect
174. C13×#381C22semidirect
178. C13×#380C22semidirect
179. C13×#380C22semidirect
185. C13×#376C22semidirect
186. C2×C13×#95C22semidirect
369. #36856C13direct (N × H)
583. #2849C2×C13semidirect
584. #2847C2×C13semidirect
585. #2797C2×C13semidirect
586. #2782C2×C13semidirect
587. #2780C2×C13semidirect
588. #2750C2×C13semidirect
589. #2744C2×C13semidirect
590. #2708C2×C13semidirect
591. #2697C2×C13semidirect
592. #2693C2×C13semidirect
593. #2693C2×C13semidirect
594. #2688C2×C13semidirect
595. #2688C2×C13semidirect
596. #2682C2×C13semidirect
597. #2678C2×C13semidirect
598. #2673C2×C13semidirect
599. #2669C2×C13semidirect
600. #2668C2×C13semidirect
601. #2649C2×C13semidirect
602. #2648C2×C13semidirect
603. #2530C2×C13semidirect
604. #2526C2×C13semidirect
605. #2464C2×C13semidirect
606. #2457C2×C13semidirect
607. #2456C2×C13semidirect
608. #2456C2×C13semidirect
609. #2444C2×C13semidirect
610. #2425C2×C13semidirect
611. #2328C2×C13semidirect
612. #2325C2×C13semidirect
613. C4×#120C2×C13semidirect
779. C2×#123C22×C13semidirect
780. C2×#123C22×C13semidirect
796. C2×C4×D4C22×C13semidirect
797. C2×C4×D4C22×C13semidirect
798. #400C22×C13semidirect
799. #400C22×C13semidirect
800. #400C22×C13semidirect
801. #400C22×C13semidirect
802. #400C22×C13semidirect
803. #400C22×C13semidirect
804. #400C22×C13semidirect
805. #400C22×C13semidirect
807. #398C22×C13semidirect
808. #398C22×C13semidirect
814. #397C22×C13semidirect
815. #397C22×C13semidirect
816. #397C22×C13semidirect
817. #397C22×C13semidirect
818. #397C22×C13semidirect
822. #396C22×C13semidirect
823. #396C22×C13semidirect
824. #396C22×C13semidirect
825. #396C22×C13semidirect
834. #394C22×C13semidirect
835. #394C22×C13semidirect
843. #392C22×C13semidirect
844. #392C22×C13semidirect
845. #392C22×C13semidirect
849. #390C22×C13semidirect
850. #390C22×C13semidirect
851. #389C22×C13semidirect
852. #389C22×C13semidirect
858. #388C22×C13semidirect
859. #388C22×C13semidirect
860. #388C22×C13semidirect
861. #388C22×C13semidirect
862. #388C22×C13semidirect
863. #388C22×C13semidirect
864. #388C22×C13semidirect
865. #387C22×C13semidirect
866. #387C22×C13semidirect
867. #387C22×C13semidirect
868. #387C22×C13semidirect
869. #387C22×C13semidirect
870. #387C22×C13semidirect
871. #387C22×C13semidirect
893. #386C22×C13semidirect
894. #386C22×C13semidirect
895. #386C22×C13semidirect
896. #386C22×C13semidirect
897. #386C22×C13semidirect
898. #386C22×C13semidirect
899. #386C22×C13semidirect
907. #385C22×C13semidirect
908. #385C22×C13semidirect
909. #385C22×C13semidirect
910. #385C22×C13semidirect
911. #385C22×C13semidirect
912. #382C22×C13semidirect
915. #381C22×C13semidirect
919. #380C22×C13semidirect
920. #380C22×C13semidirect
926. #376C22×C13semidirect
927. C2×#95C22×C13semidirect
1418. C13#36856direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#28492
C13×#28472
C13×#27972
C13×#27822
C13×#27802
C13×#27502
C13×#27442
C13×#27082
C13×#26972
C13×#26932
C13×#26882
C13×#26822
C13×#26782
C13×#26732
C13×#26692
C13×#26682
C13×#26492
C13×#26482
C13×#25302
C13×#25262
C13×#24642
C13×#24572
C13×#24562
C13×#24442
C13×#24252
C13×#23282
C13×#23252
C4×C13×#1202
#3685613