Finite Group Databasebeta

← C13×#36901 #15723240

Subgroups — C13×#36901 #15723240

Order 3328.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2848C211yesmaximal, characteristic, complemented
2C13×#2847C211yesmaximal, characteristic, complemented
3C13×#2787C211yesmaximal, characteristic, complemented
4C13×#2784C211yesmaximal, characteristic, complemented
5C13×#2778C211yesmaximal, characteristic, complemented
6C13×#2747C211yesmaximal, characteristic, complemented
7C13×#2732C211yesmaximal, characteristic, complemented
8C13×#2708C211yesmaximal, characteristic, complemented
9C13×#2696C211yesmaximal, characteristic, complemented
10C13×#2695C211yesmaximal, characteristic, complemented
11C13×#2692C211yesmaximal, characteristic, complemented
12C13×#2685C211yesmaximal, characteristic, complemented
13C13×#2684C211yesmaximal, characteristic, complemented
14C13×#2681C211yesmaximal, characteristic, complemented
15C13×#2678C211yesmaximal, characteristic, complemented
16C13×#2676C211yesmaximal, characteristic, complemented
17C13×#2671C211yesmaximal, characteristic, complemented
18C13×#2668C211yesmaximal, characteristic, complemented
19C13×#2653C211yesmaximal, characteristic, complemented
20C13×#2649C211yesmaximal, characteristic, complemented
21C13×#2522C211yesmaximal, characteristic, complemented
22C13×#2521C211yesmaximal, characteristic, complemented
23C13×#2477C211yesmaximal, characteristic, complemented
24C13×#2476C211yesmaximal, characteristic, complemented
25C13×#2463C211yesmaximal, characteristic, complemented
26C13×#2456C211yesmaximal, characteristic, complemented
27C13×#2450C211yesmaximal, characteristic, complemented
28C13×#2425C211yesmaximal, characteristic, complemented
29C13×#2325C211yesmaximal, characteristic, complemented
30C13×#2324C211yesmaximal, characteristic, complemented
31C4×C13×#120C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic
34C2×C13×#124C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic
36C2×C13×#123C2211yescharacteristic, complemented
37C2×C13×#123C2211yescharacteristic, complemented
38C2×C13×C22⋊Q8C2211yescharacteristic
39C2×C13×C22⋊Q8C2211yescharacteristic
40C2×C13×C22⋊Q8C2211yescharacteristic
41C2×C13×C22⋊Q8C2211yescharacteristic, complemented
42C2×C13×C22⋊Q8C2211yescharacteristic, complemented
43C2×C13×#121C2211yescharacteristic
44C2×C13×#121C2211yescharacteristic
45C2×C13×#121C2211yescharacteristic
46C2×C13×#121C2211yescharacteristic
47C2×C13×#121C2211yescharacteristic
48C2×C13×#121C2211yescharacteristic
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×C13×#117C2211yescharacteristic, complemented
57C13×#401C2211yescharacteristic, complemented
58C13×#400C2211yescharacteristic, complemented
59C13×#400C2211yescharacteristic, complemented
60C13×#400C2211yescharacteristic, complemented
61C13×#400C2211yescharacteristic, complemented
62C13×#399C2211yescharacteristic
63C13×#399C2211yescharacteristic
64C13×#399C2211yescharacteristic, complemented
65C13×#398C2211yescharacteristic, complemented
66C13×#398C2211yescharacteristic, complemented
67C13×#398C2211yescharacteristic, complemented
68C13×#398C2211yescharacteristic, complemented
69C13×#398C2211yescharacteristic, complemented
70C13×#398C2211yescharacteristic, complemented
71C13×#397C2211yescharacteristic
72C13×#397C2211yescharacteristic
73C13×#397C2211yescharacteristic
74C13×#397C2211yescharacteristic
75C13×#397C2211yescharacteristic
76C13×#397C2211yescharacteristic, complemented
77C13×#397C2211yescharacteristic, complemented
78C13×#396C2211yescharacteristic
79C13×#396C2211yescharacteristic
80C13×#396C2211yescharacteristic, complemented
81C13×#396C2211yescharacteristic, complemented
82C13×#396C2211yescharacteristic, complemented
83C13×#395C2211yescharacteristic, complemented
84C13×#394C2211yescharacteristic
85C13×#394C2211yescharacteristic
86C13×#394C2211yescharacteristic
87C13×#394C2211yescharacteristic
88C13×#394C2211yescharacteristic
89C13×#394C2211yescharacteristic
90C13×#394C2211yescharacteristic
91C13×#394C2211yescharacteristic
92C13×#394C2211yescharacteristic
93C13×#394C2211yescharacteristic
94C13×#394C2211yescharacteristic, complemented
95C13×#394C2211yescharacteristic, complemented
96C13×#393C2211yescharacteristic
97C13×#393C2211yescharacteristic
98C13×#393C2211yescharacteristic, complemented
99C13×#393C2211yescharacteristic, complemented
100C13×#393C2211yescharacteristic, complemented
101C13×#392C2211yescharacteristic
102C13×#392C2211yescharacteristic
103C13×#392C2211yescharacteristic
104C13×#392C2211yescharacteristic, complemented
105C13×#391C2211yescharacteristic, complemented
106C13×#391C2211yescharacteristic, complemented
107C13×#390C2211yescharacteristic
108C13×#390C2211yescharacteristic
109C13×#390C2211yescharacteristic
110C13×#390C2211yescharacteristic
111C13×#390C2211yescharacteristic, complemented
112C13×#389C2211yescharacteristic, complemented
113C13×#389C2211yescharacteristic, complemented
114C13×#389C2211yescharacteristic, complemented
115C13×#388C2211yescharacteristic
116C13×#388C2211yescharacteristic
117C13×#388C2211yescharacteristic
118C13×#388C2211yescharacteristic
119C13×#388C2211yescharacteristic
120C13×#388C2211yescharacteristic
121C13×#388C2211yescharacteristic, complemented
122C13×#388C2211yescharacteristic, complemented
123C13×#388C2211yescharacteristic, complemented
124C13×#388C2211yescharacteristic, complemented
125C13×#388C2211yescharacteristic, complemented
126C13×#388C2211yescharacteristic, complemented
127C13×#388C2211yescharacteristic, complemented
128C13×#387C2211yescharacteristic, complemented
129C13×#387C2211yescharacteristic, complemented
130C13×#387C2211yescharacteristic, complemented
131C13×#387C2211yescharacteristic, complemented
132C13×#387C2211yescharacteristic, complemented
133C13×#387C2211yescharacteristic, complemented
134C13×#387C2211yescharacteristic, complemented
135C13×#387C2211yescharacteristic, complemented
136C13×#387C2211yescharacteristic, complemented
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
153C13×#386C2211yescharacteristic
154C13×#386C2211yescharacteristic, complemented
155C13×#386C2211yescharacteristic, complemented
156C13×#386C2211yescharacteristic, complemented
157C13×#385C2211yescharacteristic
158C13×#385C2211yescharacteristic
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×#380C2211yescharacteristic
172C13×#380C2211yescharacteristic
173C13×#380C2211yescharacteristic
174C13×#380C2211yescharacteristic
175C13×#380C2211yescharacteristic
176C13×#380C2211yescharacteristic
177C13×#380C2211yescharacteristic, complemented
178C13×#380C2211yescharacteristic, complemented
179C13×#379C2211yescharacteristic
180C13×#379C2211yescharacteristic
181C13×#379C2211yescharacteristic
182C4×C13×C4⋊C4C2211yescharacteristic, complemented
183C4×C13×C22⋊C4C2211yescharacteristic
184C4×C13×C22⋊C4C2211yescharacteristic
185C4×C13×C22⋊C4C2211yescharacteristic
186C2×C13×#95C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×Q8×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
202C23×C4×C13—42no—
203C23×C4×C13—42no—
204C23×C4×C13—42no—
205C23×C4×C13C2311yescharacteristic
206C23×C4×C13C2311yescharacteristic
207C23×C4×C13C2311yescharacteristic
208C23×C4×C13C2311yescharacteristic
209C23×C4×C13C2311yescharacteristic
210C23×C4×C13C2311yescharacteristic
211C23×C4×C13C2311yescharacteristic
212C23×C4×C13C2311yescharacteristic
213C23×C4×C13C2311yescharacteristic
214C23×C4×C13C2311yescharacteristic
215C23×C4×C13C2311yescharacteristic
216C13×#126—42no—
217C13×#124—42no—
218C13×#123—42no—
219C13×#123—42no—
220C13×#123—42no—
221C13×C22⋊Q8—42no—
222C13×C22⋊Q8—42no—
223C13×C22⋊Q8—42no—
224C13×C22⋊Q8—42no—
225C13×C22⋊Q8—42no—
226C13×#121—24no—
227C13×#121—24no—
228C13×#121—42no—
229C13×#121—42no—
230C13×#121—42no—
231C13×#121—42no—
232C13×#120—24no—
233C13×#120—42no—
234C13×#120—42no—
235C4×D4×C13—42no—
236C4×D4×C13—42no—
237C4×D4×C13—42no—
238C4×D4×C13—42no—
239C13×#117—42no—
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×C4⋊C4C2311yescharacteristic
260C2×C13×C4⋊C4C2311yescharacteristic
261C2×C13×C4⋊C4C2311yescharacteristic
262C2×C13×C4⋊C4C2311yescharacteristic
263C2×C13×C4⋊C4C2311yescharacteristic
264C2×C13×C4⋊C4C2311yescharacteristic
265C2×C13×C4⋊C4C2311yescharacteristic
266C2×C13×C4⋊C4C2311yescharacteristic
267C2×C13×C4⋊C4C2311yescharacteristic
268C2×C13×C4⋊C4C2311yescharacteristic
269C2×C13×C4⋊C4C2311yescharacteristic
270C2×C13×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×C42×C13C2311yescharacteristic
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#36901C1311yesmaximal, 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
383C2×Q8×C13—22no—
384C2×Q8×C13—41no—
385C2×Q8×C13—41no—
386C2×Q8×C13—41no—
387C2×Q8×C13—41no—
388C2×Q8×C13—41no—
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#4114yes—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—22no—
428C22×C4×C13—22no—
429C22×C4×C13—22no—
430C22×C4×C13—22no—
431C22×C4×C13—22no—
432C22×C4×C13—22no—
433C22×C4×C13—22no—
434C22×C4×C13—22no—
435C22×C4×C13—22no—
436C22×C4×C13—22no—
437C22×C4×C13—41no—
438C22×C4×C13—41no—
439C22×C4×C13—41no—
440C22×C4×C13—41no—
441C22×C4×C13—41no—
442C22×C4×C13—41no—
443C22×C4×C13—41no—
444C22×C4×C13—41no—
445C22×C4×C13—41no—
446C22×C4×C13—41no—
447C22×C4×C13—41no—
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—416no—
459C22×C4×C13C2411yescharacteristic
460C22×C4×C13C2411yescharacteristic
461C22×C4×C13C2411yescharacteristic
462C22×C4×C13C2411yescharacteristic
463C22×C4×C13C2411yescharacteristic
464C22×C4×C13C2411yescharacteristic
465C22×C4×C13C2411yescharacteristic
466C22×C4×C13C2411yescharacteristic
467C22×C4×C13C2411yescharacteristic
468C22×C4×C13C2411yescharacteristic
469C22×C4×C13C2411yescharacteristic
470C22×C4×C13C2411yescharacteristic
471C22×C4×C13C2411yescharacteristic
472C22×C4×C13C2411yescharacteristic
473C22×C4×C13C2411yescharacteristic
474C22×C4×C13C2411yescharacteristic
475C22×C4×C13C2411yescharacteristic
476C22×C4×C13C2411yescharacteristic
477C22×C4×C13C2411yescharacteristic
478C22×C4×C13C2411yescharacteristic
479C22×C4×C13C2411yescharacteristic
480C22×C4×C13C2411yescharacteristic
481C22×C4×C13C2411yescharacteristic
482C22×C4×C13C2411yescharacteristic
483C22×C4×C13C2411yescharacteristic
484C13×C4⋊C4—22no—
485C13×C4⋊C4—22no—
486C13×C4⋊C4—22no—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—22no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—22no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—22no—
493C13×C4⋊C4—22no—
494C13×C4⋊C4—41no—
495C13×C4⋊C4—41no—
496C13×C4⋊C4—41no—
497C13×C4⋊C4—41no—
498C13×C4⋊C4—41no—
499C13×C4⋊C4—41no—
500C13×C4⋊C4—41no—
501C13×C4⋊C4—41no—
502C13×C4⋊C4—41no—
503C13×C4⋊C4—41no—
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×C22⋊C4—22no—
515C13×C22⋊C4—22no—
516C13×C22⋊C4—22no—
517C13×C22⋊C4—22no—
518C13×C22⋊C4—22no—
519C13×C22⋊C4—22no—
520C13×C22⋊C4—22no—
521C13×C22⋊C4—22no—
522C13×C22⋊C4—22no—
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—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—
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—
566C42×C13—22no—
567C42×C13—41no—
568C42×C13—41no—
569C42×C13—41no—
570C42×C13—41no—
571C42×C13—41no—
572C42×C13—41no—
573#2848C2×C1311yescharacteristic, complemented
574#2847C2×C1311yescharacteristic, complemented
575#2787C2×C1311yescharacteristic, complemented
576#2784C2×C1311yescharacteristic, complemented
577#2778C2×C1311yescharacteristic, complemented
578#2747C2×C1311yescharacteristic, complemented
579#2732C2×C1311yescharacteristic, complemented
580#2708C2×C1311yescharacteristic, complemented
581#2696C2×C1311yescharacteristic, complemented
582#2695C2×C1311yescharacteristic, complemented
583#2692C2×C1311yescharacteristic, complemented
584#2685C2×C1311yescharacteristic, complemented
585#2684C2×C1311yescharacteristic, complemented
586#2681C2×C1311yescharacteristic, complemented
587#2678C2×C1311yescharacteristic, complemented
588#2676C2×C1311yescharacteristic, complemented
589#2671C2×C1311yescharacteristic, complemented
590#2668C2×C1311yescharacteristic, complemented
591#2653C2×C1311yescharacteristic, complemented
592#2649C2×C1311yescharacteristic, complemented
593#2522C2×C1311yescharacteristic, complemented
594#2521C2×C1311yescharacteristic, complemented
595#2477C2×C1311yescharacteristic, complemented
596#2476C2×C1311yescharacteristic, complemented
597#2463C2×C1311yescharacteristic, complemented
598#2456C2×C1311yescharacteristic, complemented
599#2450C2×C1311yescharacteristic, complemented
600#2425C2×C1311yescharacteristic, complemented
601#2325C2×C1311yescharacteristic, complemented
602#2324C2×C1311yescharacteristic, complemented
603C4×#120C2×C1311yescharacteristic, complemented
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×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—44no—
643C23×C13—44no—
644C23×C13—44no—
645C23×C13—44no—
646C23×C13—44no—
647C23×C13—44no—
648C23×C13—44no—
649C23×C13C2×#4112yes—
650C23×C13C2×#4112yes—
651C23×C13H(5,𝔽2)12yes—
652C23×C132−1+412yes—
653C23×C13C2511yescharacteristic
654Q8×C13—82no—
655Q8×C13—82no—
656D4×C13—44no—
657D4×C13—44no—
658D4×C13—44no—
659D4×C13—44no—
660D4×C13—82no—
661D4×C13—82no—
662D4×C13—82no—
663D4×C13—82no—
664D4×C13—82no—
665D4×C13—82no—
666D4×C13—82no—
667D4×C13—82no—
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—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—44no—
740C2×C4×C13—44no—
741C2×C4×C13—44no—
742C2×C4×C13—44no—
743C2×C4×C13—44no—
744C2×C4×C13—44no—
745C2×C4×C13—44no—
746C2×C4×C13—82no—
747C2×C4×C13—82no—
748C2×C4×C13—82no—
749C2×C4×C13—82no—
750C2×C4×C13C2×#4112yes—
751C2×C4×C13H(5,𝔽2)12yes—
752C2×C4×C13H(5,𝔽2)12yes—
753C2×C4×C13H(5,𝔽2)12yes—
754C24×C4C22×C1311yescharacteristic
755C2×#126C22×C1311yescharacteristic
756C2×#124C22×C1311yescharacteristic
757C2×#123C22×C1311yescharacteristic
758C2×#123C22×C1311yescharacteristic, complemented
759C2×#123C22×C1311yescharacteristic, complemented
760C2×C22⋊Q8C22×C1311yescharacteristic
761C2×C22⋊Q8C22×C1311yescharacteristic
762C2×C22⋊Q8C22×C1311yescharacteristic
763C2×C22⋊Q8C22×C1311yescharacteristic, complemented
764C2×C22⋊Q8C22×C1311yescharacteristic, complemented
765C2×#121C22×C1311yescharacteristic
766C2×#121C22×C1311yescharacteristic
767C2×#121C22×C1311yescharacteristic
768C2×#121C22×C1311yescharacteristic
769C2×#121C22×C1311yescharacteristic
770C2×#121C22×C1311yescharacteristic
771C2×#120C22×C1311yescharacteristic
772C2×#120C22×C1311yescharacteristic
773C2×#120C22×C1311yescharacteristic
774C2×C4×D4C22×C1311yescharacteristic
775C2×C4×D4C22×C1311yescharacteristic
776C2×C4×D4C22×C1311yescharacteristic
777C2×C4×D4C22×C1311yescharacteristic, complemented
778C2×#117C22×C1311yescharacteristic, complemented
779#401C22×C1311yescharacteristic, complemented
780#400C22×C1311yescharacteristic, complemented
781#400C22×C1311yescharacteristic, complemented
782#400C22×C1311yescharacteristic, complemented
783#400C22×C1311yescharacteristic, complemented
784#399C22×C1311yescharacteristic
785#399C22×C1311yescharacteristic
786#399C22×C1311yescharacteristic, complemented
787#398C22×C1311yescharacteristic, complemented
788#398C22×C1311yescharacteristic, complemented
789#398C22×C1311yescharacteristic, complemented
790#398C22×C1311yescharacteristic, complemented
791#398C22×C1311yescharacteristic, complemented
792#398C22×C1311yescharacteristic, complemented
793#397C22×C1311yescharacteristic
794#397C22×C1311yescharacteristic
795#397C22×C1311yescharacteristic
796#397C22×C1311yescharacteristic
797#397C22×C1311yescharacteristic
798#397C22×C1311yescharacteristic, complemented
799#397C22×C1311yescharacteristic, complemented
800#396C22×C1311yescharacteristic
801#396C22×C1311yescharacteristic
802#396C22×C1311yescharacteristic, complemented
803#396C22×C1311yescharacteristic, complemented
804#396C22×C1311yescharacteristic, complemented
805#395C22×C1311yescharacteristic, complemented
806#394C22×C1311yescharacteristic
807#394C22×C1311yescharacteristic
808#394C22×C1311yescharacteristic
809#394C22×C1311yescharacteristic
810#394C22×C1311yescharacteristic
811#394C22×C1311yescharacteristic
812#394C22×C1311yescharacteristic
813#394C22×C1311yescharacteristic
814#394C22×C1311yescharacteristic
815#394C22×C1311yescharacteristic
816#394C22×C1311yescharacteristic, complemented
817#394C22×C1311yescharacteristic, complemented
818#393C22×C1311yescharacteristic
819#393C22×C1311yescharacteristic
820#393C22×C1311yescharacteristic, complemented
821#393C22×C1311yescharacteristic, complemented
822#393C22×C1311yescharacteristic, complemented
823#392C22×C1311yescharacteristic
824#392C22×C1311yescharacteristic
825#392C22×C1311yescharacteristic
826#392C22×C1311yescharacteristic, complemented
827#391C22×C1311yescharacteristic, complemented
828#391C22×C1311yescharacteristic, complemented
829#390C22×C1311yescharacteristic
830#390C22×C1311yescharacteristic
831#390C22×C1311yescharacteristic
832#390C22×C1311yescharacteristic
833#390C22×C1311yescharacteristic, complemented
834#389C22×C1311yescharacteristic, complemented
835#389C22×C1311yescharacteristic, complemented
836#389C22×C1311yescharacteristic, complemented
837#388C22×C1311yescharacteristic
838#388C22×C1311yescharacteristic
839#388C22×C1311yescharacteristic
840#388C22×C1311yescharacteristic
841#388C22×C1311yescharacteristic
842#388C22×C1311yescharacteristic
843#388C22×C1311yescharacteristic, complemented
844#388C22×C1311yescharacteristic, complemented
845#388C22×C1311yescharacteristic, complemented
846#388C22×C1311yescharacteristic, complemented
847#388C22×C1311yescharacteristic, complemented
848#388C22×C1311yescharacteristic, complemented
849#388C22×C1311yescharacteristic, complemented
850#387C22×C1311yescharacteristic, complemented
851#387C22×C1311yescharacteristic, complemented
852#387C22×C1311yescharacteristic, complemented
853#387C22×C1311yescharacteristic, complemented
854#387C22×C1311yescharacteristic, complemented
855#387C22×C1311yescharacteristic, complemented
856#387C22×C1311yescharacteristic, complemented
857#387C22×C1311yescharacteristic, complemented
858#387C22×C1311yescharacteristic, complemented
859#386C22×C1311yescharacteristic
860#386C22×C1311yescharacteristic
861#386C22×C1311yescharacteristic
862#386C22×C1311yescharacteristic
863#386C22×C1311yescharacteristic
864#386C22×C1311yescharacteristic
865#386C22×C1311yescharacteristic
866#386C22×C1311yescharacteristic
867#386C22×C1311yescharacteristic
868#386C22×C1311yescharacteristic
869#386C22×C1311yescharacteristic
870#386C22×C1311yescharacteristic
871#386C22×C1311yescharacteristic
872#386C22×C1311yescharacteristic
873#386C22×C1311yescharacteristic
874#386C22×C1311yescharacteristic
875#386C22×C1311yescharacteristic
876#386C22×C1311yescharacteristic, complemented
877#386C22×C1311yescharacteristic, complemented
878#386C22×C1311yescharacteristic, complemented
879#385C22×C1311yescharacteristic
880#385C22×C1311yescharacteristic
881#385C22×C1311yescharacteristic
882#385C22×C1311yescharacteristic
883#385C22×C1311yescharacteristic
884#385C22×C1311yescharacteristic
885#385C22×C1311yescharacteristic
886#385C22×C1311yescharacteristic
887#385C22×C1311yescharacteristic
888#385C22×C1311yescharacteristic, complemented
889#385C22×C1311yescharacteristic, complemented
890#385C22×C1311yescharacteristic, complemented
891#385C22×C1311yescharacteristic, complemented
892#385C22×C1311yescharacteristic, complemented
893#380C22×C1311yescharacteristic
894#380C22×C1311yescharacteristic
895#380C22×C1311yescharacteristic
896#380C22×C1311yescharacteristic
897#380C22×C1311yescharacteristic
898#380C22×C1311yescharacteristic
899#380C22×C1311yescharacteristic, complemented
900#380C22×C1311yescharacteristic, complemented
901#379C22×C1311yescharacteristic
902#379C22×C1311yescharacteristic
903#379C22×C1311yescharacteristic
904C4×C4⋊C4C22×C1311yescharacteristic, complemented
905C4×C22⋊C4C22×C1311yescharacteristic
906C4×C22⋊C4C22×C1311yescharacteristic
907C4×C22⋊C4C22×C1311yescharacteristic
908C2×#95C22×C1311yescharacteristic, complemented
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—22no—
920C22×C13—22no—
921C22×C13—416no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13—41no—
932C22×C13—41no—
933C22×C13—41no—
934C22×C13—41no—
935C22×C13—41no—
936C22×C13—41no—
937C22×C13—41no—
938C22×C13—41no—
939C22×C13—41no—
940C22×C13—41no—
941C22×C13—41no—
942C22×C13—41no—
943C22×C13—41no—
944C22×C13—41no—
945C22×C13—41no—
946C22×C13—41no—
947C22×C13—41no—
948C22×C13—41no—
949C22×C13—41no—
950C22×C13—41no—
951C22×C13—41no—
952C22×C13C22×#4111yescharacteristic
953C22×C13C2×H(5,𝔽2)11yescharacteristic
954C22×C13C2×H(5,𝔽2)11yescharacteristic
955C22×C13C2×H(5,𝔽2)11yescharacteristic
956C22×C13C2×H(5,𝔽2)11yescharacteristic
957C22×C13C2×2−1+411yescharacteristic
958C22×C13#58511yescharacteristic
959C4×C13—22no—
960C4×C13—22no—
961C4×C13—22no—
962C4×C13—22no—
963C4×C13—41no—
964C4×C13—41no—
965C4×C13—41no—
966C4×C13—41no—
967C4×C13—41no—
968C4×C13—41no—
969C4×C13—41no—
970C4×C13—41no—
971C4×C13—41no—
972C4×C13—41no—
973C4×C13—41no—
974C4×C13—41no—
975C4×C13—41no—
976C4×C13—41no—
977C4×C13—41no—
978C4×C13—41no—
979C4×C13—41no—
980C4×C13—41no—
981C4×C13—41no—
982C4×C13—41no—
983C4×C13—41no—
984C25C23×C1311yescharacteristic
985C22×Q8C23×C1311yescharacteristic
986C22×Q8C23×C1311yescharacteristic
987C22×D4C23×C1311yescharacteristic
988C22×D4C23×C1311yescharacteristic
989C22×D4C23×C1311yescharacteristic
990C22×D4C23×C1311yescharacteristic
991C22×D4C23×C1311yescharacteristic
992C22×D4C23×C1311yescharacteristic
993C22×D4C23×C1311yescharacteristic
994C22×D4C23×C1311yescharacteristic
995C22×D4C23×C1311yescharacteristic
996C22×D4C23×C1311yescharacteristic
997C22×D4C23×C1311yescharacteristic
998C22×D4C23×C1311yescharacteristic
999C23×C4—42no—
1000C23×C4—42no—
1001C23×C4—42no—
1002C23×C4C23×C1311yescharacteristic
1003C23×C4C23×C1311yescharacteristic
1004C23×C4C23×C1311yescharacteristic
1005C23×C4C23×C1311yescharacteristic
1006C23×C4C23×C1311yescharacteristic
1007C23×C4C23×C1311yescharacteristic
1008C23×C4C23×C1311yescharacteristic
1009C23×C4C23×C1311yescharacteristic
1010C23×C4C23×C1311yescharacteristic
1011C23×C4C23×C1311yescharacteristic
1012C23×C4C23×C1311yescharacteristic
1013#126—42no—
1014#124—42no—
1015#123—42no—
1016#123—42no—
1017#123—42no—
1018C22⋊Q8—42no—
1019C22⋊Q8—42no—
1020C22⋊Q8—42no—
1021C22⋊Q8—42no—
1022C22⋊Q8—42no—
1023#121—24no—
1024#121—24no—
1025#121—42no—
1026#121—42no—
1027#121—42no—
1028#121—42no—
1029#120—24no—
1030#120—42no—
1031#120—42no—
1032C4×D4—42no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036#117—42no—
1037C2×C4⋊C4C23×C1311yescharacteristic
1038C2×C4⋊C4C23×C1311yescharacteristic
1039C2×C4⋊C4C23×C1311yescharacteristic
1040C2×C4⋊C4C23×C1311yescharacteristic
1041C2×C4⋊C4C23×C1311yescharacteristic
1042C2×C4⋊C4C23×C1311yescharacteristic
1043C2×C4⋊C4C23×C1311yescharacteristic
1044C2×C4⋊C4C23×C1311yescharacteristic
1045C2×C4⋊C4C23×C1311yescharacteristic
1046C2×C4⋊C4C23×C1311yescharacteristic
1047C2×C4⋊C4C23×C1311yescharacteristic
1048C2×C4⋊C4C23×C1311yescharacteristic
1049C2×C4⋊C4C23×C1311yescharacteristic
1050C2×C4⋊C4C23×C1311yescharacteristic
1051C2×C4⋊C4C23×C1311yescharacteristic
1052C2×C4⋊C4C23×C1311yescharacteristic
1053C2×C4⋊C4C23×C1311yescharacteristic
1054C2×C4⋊C4C23×C1311yescharacteristic
1055C2×C4⋊C4C23×C1311yescharacteristic
1056C2×C4⋊C4C23×C1311yescharacteristic
1057C2×C4⋊C4C23×C1311yescharacteristic
1058C2×C4⋊C4C23×C1311yescharacteristic
1059C2×C4⋊C4C23×C1311yescharacteristic
1060C2×C4⋊C4C23×C1311yescharacteristic
1061C2×C4⋊C4C23×C1311yescharacteristic
1062C2×C4⋊C4C23×C1311yescharacteristic
1063C2×C4⋊C4C23×C1311yescharacteristic
1064C2×C4⋊C4C23×C1311yescharacteristic
1065C2×C4⋊C4C23×C1311yescharacteristic
1066C2×C4⋊C4C23×C1311yescharacteristic
1067C2×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×C22⋊C4C23×C1311yescharacteristic
1085C2×C22⋊C4C23×C1311yescharacteristic
1086C2×C22⋊C4C23×C1311yescharacteristic
1087C2×C22⋊C4C23×C1311yescharacteristic
1088C2×C22⋊C4C23×C1311yescharacteristic
1089C2×C22⋊C4C23×C1311yescharacteristic
1090C2×C22⋊C4C23×C1311yescharacteristic
1091C2×C22⋊C4C23×C1311yescharacteristic
1092C2×C22⋊C4C23×C1311yescharacteristic
1093C2×C22⋊C4C23×C1311yescharacteristic
1094C2×C22⋊C4C23×C1311yescharacteristic
1095C2×C22⋊C4C23×C1311yescharacteristic
1096C2×C22⋊C4C23×C1311yescharacteristic
1097C2×C22⋊C4C23×C1311yescharacteristic
1098C2×C22⋊C4C23×C1311yescharacteristic
1099C2×C22⋊C4C23×C1311yescharacteristic
1100C2×C22⋊C4C23×C1311yescharacteristic
1101C2×C22⋊C4C23×C1311yescharacteristic
1102C2×C22⋊C4C23×C1311yescharacteristic
1103C2×C22⋊C4C23×C1311yescharacteristic
1104C2×C22⋊C4C23×C1311yescharacteristic
1105C2×C22⋊C4C23×C1311yescharacteristic
1106C2×C22⋊C4C23×C1311yescharacteristic
1107C2×C22⋊C4C23×C1311yescharacteristic
1108C2×C22⋊C4C23×C1311yescharacteristic
1109C2×C22⋊C4C23×C1311yescharacteristic
1110C2×C22⋊C4C23×C1311yescharacteristic
1111C2×C22⋊C4C23×C1311yescharacteristic
1112C2×C22⋊C4C23×C1311yescharacteristic
1113C2×C22⋊C4C23×C1311yescharacteristic
1114C2×C22⋊C4C23×C1311yescharacteristic
1115C2×C22⋊C4C23×C1311yescharacteristic
1116C2×C22⋊C4C23×C1311yescharacteristic
1117C2×C22⋊C4C23×C1311yescharacteristic
1118C2×C22⋊C4C23×C1311yescharacteristic
1119C2×C42C23×C1311yescharacteristic
1120C2×C42C23×C1311yescharacteristic
1121C2×C42C23×C1311yescharacteristic
1122C2×C42C23×C1311yescharacteristic
1123C2×C42C23×C1311yescharacteristic
1124C2×C42C23×C1311yescharacteristic
1125C2×C42C23×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
1136#95C23×C1311yescharacteristic
1137#95C23×C1311yescharacteristic
1138#95C23×C1311yescharacteristic
1139#95C23×C1311yescharacteristic
1140#95C23×C1311yescharacteristic
1141#95C23×C1311yescharacteristic
1142#95C23×C1311yescharacteristic
1143#95C23×C1311yescharacteristic
1144#95C23×C1311yescharacteristic
1145#95C23×C1311yescharacteristic
1146#95C23×C1311yescharacteristic
1147#95C23×C1311yescharacteristic
1148#95C23×C1311yescharacteristic
1149#95C23×C1311yescharacteristic
1150#95C23×C1311yescharacteristic
1151#95C23×C1311yescharacteristic
1152#95C23×C1311yescharacteristic
1153#95C23×C1311yescharacteristic
1154#95C23×C1311yescharacteristic
1155#95C23×C1311yescharacteristic
1156#95C23×C1311yescharacteristic
1157#95C23×C1311yescharacteristic
1158#95C23×C1311yescharacteristic
1159#95C23×C1311yescharacteristic
1160#95C23×C1311yescharacteristic
1161#95C23×C1311yescharacteristic
1162#95C23×C1311yescharacteristic
1163#95C23×C1311yescharacteristic
1164#95C23×C1311yescharacteristic
1165#95C23×C1311yescharacteristic
1166C2×C13—42no—
1167C2×C13—42no—
1168C2×C13—42no—
1169C2×C13—42no—
1170C2×C13—81no—
1171C2×C13—81no—
1172C2×C13#345911yescharacteristic
1173C2×C13#351911yescharacteristic
1174C2×C13#352011yescharacteristic
1175C2×C13#353211yescharacteristic
1176C2×C13#353611yescharacteristic
1177C2×C13#354111yescharacteristic
1178C2×C13#354211yescharacteristic
1179C24—22no—
1180C24—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24C24×C1311yescharacteristic
1187C24C24×C1311yescharacteristic
1188C24C24×C1311yescharacteristic
1189C24C24×C1311yescharacteristic
1190C24C24×C1311yescharacteristic
1191C24C24×C1311yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—41no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—41no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4C13×#4114yes—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—416no—
1268C22×C4C24×C1311yescharacteristic
1269C22×C4C24×C1311yescharacteristic
1270C22×C4C24×C1311yescharacteristic
1271C22×C4C24×C1311yescharacteristic
1272C22×C4C24×C1311yescharacteristic
1273C22×C4C24×C1311yescharacteristic
1274C22×C4C24×C1311yescharacteristic
1275C22×C4C24×C1311yescharacteristic
1276C22×C4C24×C1311yescharacteristic
1277C22×C4C24×C1311yescharacteristic
1278C22×C4C24×C1311yescharacteristic
1279C22×C4C24×C1311yescharacteristic
1280C22×C4C24×C1311yescharacteristic
1281C22×C4C24×C1311yescharacteristic
1282C22×C4C24×C1311yescharacteristic
1283C22×C4C24×C1311yescharacteristic
1284C22×C4C24×C1311yescharacteristic
1285C22×C4C24×C1311yescharacteristic
1286C22×C4C24×C1311yescharacteristic
1287C22×C4C24×C1311yescharacteristic
1288C22×C4C24×C1311yescharacteristic
1289C22×C4C24×C1311yescharacteristic
1290C22×C4C24×C1311yescharacteristic
1291C22×C4C24×C1311yescharacteristic
1292C22×C4C24×C1311yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C42—22no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C13#3690111yescharacteristic, direct product factor, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23C2×C13×#4112yes—
1429C23C2×C13×#4112yes—
1430C23C13×H(5,𝔽2)12yes—
1431C23C13×2−1+412yes—
1432C23C25×C1311yescharacteristic
1433Q8—82no—
1434Q8—82no—
1435D4—44no—
1436D4—44no—
1437D4—44no—
1438D4—44no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—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—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4C2×C13×#4112yes—
1530C2×C4C13×H(5,𝔽2)12yes—
1531C2×C4C13×H(5,𝔽2)12yes—
1532C2×C4C13×H(5,𝔽2)12yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22C22×C13×#4111yescharacteristic
1577C22C2×C13×H(5,𝔽2)11yescharacteristic
1578C22C2×C13×H(5,𝔽2)11yescharacteristic
1579C22C2×C13×H(5,𝔽2)11yescharacteristic
1580C22C2×C13×H(5,𝔽2)11yescharacteristic
1581C22C2×C13×2−1+411yescharacteristic
1582C22C13×#58511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—42no—
1609C2—42no—
1610C2—42no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2C13×#345911yescharacteristic
1615C2C13×#351911yescharacteristic
1616C2C13×#352011yescharacteristic
1617C2C13×#353211yescharacteristic
1618C2C13×#353611yescharacteristic
1619C2C13×#354111yescharacteristic
1620C2C13×#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×#2848C2semidirect
2. C13×#2847C2semidirect
3. C13×#2787C2semidirect
4. C13×#2784C2semidirect
5. C13×#2778C2semidirect
6. C13×#2747C2semidirect
7. C13×#2732C2semidirect
8. C13×#2708C2semidirect
9. C13×#2696C2semidirect
10. C13×#2695C2semidirect
11. C13×#2692C2semidirect
12. C13×#2685C2semidirect
13. C13×#2684C2semidirect
14. C13×#2681C2semidirect
15. C13×#2678C2semidirect
16. C13×#2676C2semidirect
17. C13×#2671C2semidirect
18. C13×#2668C2semidirect
19. C13×#2653C2semidirect
20. C13×#2649C2semidirect
21. C13×#2522C2semidirect
22. C13×#2521C2semidirect
23. C13×#2477C2semidirect
24. C13×#2476C2semidirect
25. C13×#2463C2semidirect
26. C13×#2456C2semidirect
27. C13×#2450C2semidirect
28. C13×#2425C2semidirect
29. C13×#2325C2semidirect
30. C13×#2324C2semidirect
31. C4×C13×#120C2semidirect
36. C2×C13×#123C22semidirect
37. C2×C13×#123C22semidirect
41. C2×C13×C22⋊Q8C22semidirect
42. C2×C13×C22⋊Q8C22semidirect
55. C2×C4×D4×C13C22semidirect
56. C2×C13×#117C22semidirect
57. C13×#401C22semidirect
58. C13×#400C22semidirect
59. C13×#400C22semidirect
60. C13×#400C22semidirect
61. C13×#400C22semidirect
64. C13×#399C22semidirect
65. C13×#398C22semidirect
66. C13×#398C22semidirect
67. C13×#398C22semidirect
68. C13×#398C22semidirect
69. C13×#398C22semidirect
70. C13×#398C22semidirect
76. C13×#397C22semidirect
77. C13×#397C22semidirect
80. C13×#396C22semidirect
81. C13×#396C22semidirect
82. C13×#396C22semidirect
83. C13×#395C22semidirect
94. C13×#394C22semidirect
95. C13×#394C22semidirect
98. C13×#393C22semidirect
99. C13×#393C22semidirect
100. C13×#393C22semidirect
104. C13×#392C22semidirect
105. C13×#391C22semidirect
106. C13×#391C22semidirect
111. C13×#390C22semidirect
112. C13×#389C22semidirect
113. C13×#389C22semidirect
114. C13×#389C22semidirect
121. C13×#388C22semidirect
122. C13×#388C22semidirect
123. C13×#388C22semidirect
124. C13×#388C22semidirect
125. C13×#388C22semidirect
126. C13×#388C22semidirect
127. C13×#388C22semidirect
128. C13×#387C22semidirect
129. C13×#387C22semidirect
130. C13×#387C22semidirect
131. C13×#387C22semidirect
132. C13×#387C22semidirect
133. C13×#387C22semidirect
134. C13×#387C22semidirect
135. C13×#387C22semidirect
136. C13×#387C22semidirect
154. C13×#386C22semidirect
155. C13×#386C22semidirect
156. C13×#386C22semidirect
166. C13×#385C22semidirect
167. C13×#385C22semidirect
168. C13×#385C22semidirect
169. C13×#385C22semidirect
170. C13×#385C22semidirect
177. C13×#380C22semidirect
178. C13×#380C22semidirect
182. C4×C13×C4⋊C4C22semidirect
186. C2×C13×#95C22semidirect
369. #36901C13direct (N × H)
573. #2848C2×C13semidirect
574. #2847C2×C13semidirect
575. #2787C2×C13semidirect
576. #2784C2×C13semidirect
577. #2778C2×C13semidirect
578. #2747C2×C13semidirect
579. #2732C2×C13semidirect
580. #2708C2×C13semidirect
581. #2696C2×C13semidirect
582. #2695C2×C13semidirect
583. #2692C2×C13semidirect
584. #2685C2×C13semidirect
585. #2684C2×C13semidirect
586. #2681C2×C13semidirect
587. #2678C2×C13semidirect
588. #2676C2×C13semidirect
589. #2671C2×C13semidirect
590. #2668C2×C13semidirect
591. #2653C2×C13semidirect
592. #2649C2×C13semidirect
593. #2522C2×C13semidirect
594. #2521C2×C13semidirect
595. #2477C2×C13semidirect
596. #2476C2×C13semidirect
597. #2463C2×C13semidirect
598. #2456C2×C13semidirect
599. #2450C2×C13semidirect
600. #2425C2×C13semidirect
601. #2325C2×C13semidirect
602. #2324C2×C13semidirect
603. C4×#120C2×C13semidirect
758. C2×#123C22×C13semidirect
759. C2×#123C22×C13semidirect
763. C2×C22⋊Q8C22×C13semidirect
764. C2×C22⋊Q8C22×C13semidirect
777. C2×C4×D4C22×C13semidirect
778. C2×#117C22×C13semidirect
779. #401C22×C13semidirect
780. #400C22×C13semidirect
781. #400C22×C13semidirect
782. #400C22×C13semidirect
783. #400C22×C13semidirect
786. #399C22×C13semidirect
787. #398C22×C13semidirect
788. #398C22×C13semidirect
789. #398C22×C13semidirect
790. #398C22×C13semidirect
791. #398C22×C13semidirect
792. #398C22×C13semidirect
798. #397C22×C13semidirect
799. #397C22×C13semidirect
802. #396C22×C13semidirect
803. #396C22×C13semidirect
804. #396C22×C13semidirect
805. #395C22×C13semidirect
816. #394C22×C13semidirect
817. #394C22×C13semidirect
820. #393C22×C13semidirect
821. #393C22×C13semidirect
822. #393C22×C13semidirect
826. #392C22×C13semidirect
827. #391C22×C13semidirect
828. #391C22×C13semidirect
833. #390C22×C13semidirect
834. #389C22×C13semidirect
835. #389C22×C13semidirect
836. #389C22×C13semidirect
843. #388C22×C13semidirect
844. #388C22×C13semidirect
845. #388C22×C13semidirect
846. #388C22×C13semidirect
847. #388C22×C13semidirect
848. #388C22×C13semidirect
849. #388C22×C13semidirect
850. #387C22×C13semidirect
851. #387C22×C13semidirect
852. #387C22×C13semidirect
853. #387C22×C13semidirect
854. #387C22×C13semidirect
855. #387C22×C13semidirect
856. #387C22×C13semidirect
857. #387C22×C13semidirect
858. #387C22×C13semidirect
876. #386C22×C13semidirect
877. #386C22×C13semidirect
878. #386C22×C13semidirect
888. #385C22×C13semidirect
889. #385C22×C13semidirect
890. #385C22×C13semidirect
891. #385C22×C13semidirect
892. #385C22×C13semidirect
899. #380C22×C13semidirect
900. #380C22×C13semidirect
904. C4×C4⋊C4C22×C13semidirect
908. C2×#95C22×C13semidirect
1382. C13#36901direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#28482
C13×#28472
C13×#27872
C13×#27842
C13×#27782
C13×#27472
C13×#27322
C13×#27082
C13×#26962
C13×#26952
C13×#26922
C13×#26852
C13×#26842
C13×#26812
C13×#26782
C13×#26762
C13×#26712
C13×#26682
C13×#26532
C13×#26492
C13×#25222
C13×#25212
C13×#24772
C13×#24762
C13×#24632
C13×#24562
C13×#24502
C13×#24252
C13×#23252
C13×#23242
C4×C13×#1202
#3690113