Finite Group Databasebeta

← C13×#36827 #15723166

Subgroups — C13×#36827 #15723166

Order 3328.

1610 conjugacy classes of subgroups.

The subgroup lattice has 1392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2855C211yesmaximal, characteristic, complemented
2C13×#2854C211yesmaximal, characteristic
3C13×#2802C211yesmaximal, characteristic, complemented
4C13×#2800C211yesmaximal, characteristic, complemented
5C13×#2792C211yesmaximal, characteristic, complemented
6C13×#2788C211yesmaximal, characteristic, complemented
7C13×#2783C211yesmaximal, characteristic, complemented
8C13×#2780C211yesmaximal, characteristic, complemented
9C13×#2744C211yesmaximal, characteristic, complemented
10C13×#2739C211yesmaximal, characteristic, complemented
11C13×#2729C211yesmaximal, characteristic, complemented
12C13×#2725C211yesmaximal, characteristic, complemented
13C13×#2707C211yesmaximal, characteristic, complemented
14C13×#2701C211yesmaximal, characteristic
15C13×#2695C211yesmaximal, characteristic, complemented
16C13×#2686C211yesmaximal, characteristic
17C13×#2680C211yesmaximal, characteristic, complemented
18C13×#2674C211yesmaximal, characteristic, complemented
19C13×#2654C211yesmaximal, characteristic, complemented
20C13×#2650C211yesmaximal, characteristic, complemented
21C13×#2609C211yesmaximal, characteristic, complemented
22C13×#2601C211yesmaximal, characteristic, complemented
23C13×#2601C211yesmaximal, characteristic, complemented
24C13×#2590C211yesmaximal, characteristic, complemented
25C13×#2560C211yesmaximal, characteristic, complemented
26C13×#2550C211yesmaximal, characteristic, complemented
27C13×#2474C211yesmaximal, characteristic, complemented
28C13×#2470C211yesmaximal, characteristic, complemented
29C13×#2334C211yesmaximal, characteristic, complemented
30C13×#2314C211yesmaximal, characteristic, complemented
31C13×#2296C211yesmaximal, characteristic, complemented
32C2×C13×C4⋊Q8C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic
35C2×C13×#125C2211yescharacteristic
36C2×C13×#124C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic
39C2×C13×#123C2211yescharacteristic
40C2×C13×C22⋊Q8C2211yescharacteristic
41C2×C13×C22⋊Q8C2211yescharacteristic
42C2×C13×#121C2211yescharacteristic
43C2×C13×#117C2211yescharacteristic
44C2×C13×#117C2211yescharacteristic
45C2×C13×#117C2211yescharacteristic
46C22×C42×C13C2211yescharacteristic
47C13×#400C2211yescharacteristic
48C13×#400C2211yescharacteristic
49C13×#400C2211yescharacteristic
50C13×#400C2211yescharacteristic
51C13×#400C2211yescharacteristic
52C13×#400C2211yescharacteristic
53C13×#400C2211yescharacteristic
54C13×#399C2211yescharacteristic
55C13×#398C2211yescharacteristic
56C13×#398C2211yescharacteristic
57C13×#398C2211yescharacteristic
58C13×#398C2211yescharacteristic
59C13×#398C2211yescharacteristic
60C13×#398C2211yescharacteristic
61C13×#398C2211yescharacteristic
62C13×#398C2211yescharacteristic
63C13×#398C2211yescharacteristic
64C13×#398C2211yescharacteristic
65C13×#398C2211yescharacteristic
66C13×#397C2211yescharacteristic
67C13×#397C2211yescharacteristic
68C13×#397C2211yescharacteristic
69C13×#397C2211yescharacteristic
70C13×#397C2211yescharacteristic
71C13×#397C2211yescharacteristic
72C13×#397C2211yescharacteristic
73C13×#396C2211yescharacteristic
74C13×#396C2211yescharacteristic
75C13×#396C2211yescharacteristic
76C13×#396C2211yescharacteristic
77C13×#396C2211yescharacteristic
78C13×#396C2211yescharacteristic
79C13×#396C2211yescharacteristic
80C13×#396C2211yescharacteristic
81C13×#396C2211yescharacteristic
82C13×#396C2211yescharacteristic
83C13×#395C2211yescharacteristic
84C13×#395C2211yescharacteristic
85C13×#395C2211yescharacteristic
86C13×#395C2211yescharacteristic
87C13×#394C2211yescharacteristic
88C13×#394C2211yescharacteristic
89C13×#394C2211yescharacteristic
90C13×#394C2211yescharacteristic
91C13×#394C2211yescharacteristic
92C13×#394C2211yescharacteristic
93C13×#393C2211yescharacteristic
94C13×#393C2211yescharacteristic
95C13×#391C2211yescharacteristic
96C13×#391C2211yescharacteristic
97C13×#391C2211yescharacteristic
98C13×#390C2211yescharacteristic
99C13×#390C2211yescharacteristic
100C13×#390C2211yescharacteristic
101C13×#389C2211yescharacteristic
102C13×#389C2211yescharacteristic
103C13×#389C2211yescharacteristic
104C13×#389C2211yescharacteristic
105C13×#389C2211yescharacteristic
106C13×#389C2211yescharacteristic
107C13×#389C2211yescharacteristic
108C13×#389C2211yescharacteristic
109C13×#389C2211yescharacteristic
110C13×#389C2211yescharacteristic
111C13×#389C2211yescharacteristic
112C13×#389C2211yescharacteristic
113C13×#389C2211yescharacteristic
114C13×#389C2211yescharacteristic
115C13×#389C2211yescharacteristic
116C13×#389C2211yescharacteristic
117C13×#388C2211yescharacteristic
118C13×#388C2211yescharacteristic
119C13×#388C2211yescharacteristic
120C13×#388C2211yescharacteristic
121C13×#388C2211yescharacteristic
122C13×#388C2211yescharacteristic
123C13×#388C2211yescharacteristic
124C13×#388C2211yescharacteristic
125C13×#388C2211yescharacteristic
126C13×#388C2211yescharacteristic
127C13×#388C2211yescharacteristic
128C13×#388C2211yescharacteristic
129C13×#388C2211yescharacteristic
130C13×#388C2211yescharacteristic
131C13×#388C2211yescharacteristic
132C13×#388C2211yescharacteristic
133C13×#388C2211yescharacteristic
134C13×#388C2211yescharacteristic
135C13×#388C2211yescharacteristic
136C13×#388C2211yescharacteristic
137C13×#387C2211yescharacteristic
138C13×#387C2211yescharacteristic
139C13×#387C2211yescharacteristic
140C13×#387C2211yescharacteristic
141C13×#387C2211yescharacteristic
142C13×#387C2211yescharacteristic
143C13×#387C2211yescharacteristic
144C13×#387C2211yescharacteristic
145C13×#387C2211yescharacteristic
146C13×#387C2211yescharacteristic
147C13×#387C2211yescharacteristic
148C13×#387C2211yescharacteristic
149C13×#387C2211yescharacteristic
150C13×#387C2211yescharacteristic
151C13×#387C2211yescharacteristic
152C13×#387C2211yescharacteristic
153C13×#387C2211yescharacteristic
154C13×#387C2211yescharacteristic
155C13×#386C2211yescharacteristic
156C13×#386C2211yescharacteristic
157C13×#386C2211yescharacteristic
158C13×#386C2211yescharacteristic
159C13×#386C2211yescharacteristic
160C13×#385C2211yescharacteristic
161C13×#385C2211yescharacteristic
162C13×#385C2211yescharacteristic
163C13×#385C2211yescharacteristic
164C13×#385C2211yescharacteristic
165C13×#385C2211yescharacteristic
166C13×#385C2211yescharacteristic
167C13×#385C2211yescharacteristic
168C13×#385C2211yescharacteristic
169C13×#385C2211yescharacteristic
170C13×#385C2211yescharacteristic
171C13×#384C2211yescharacteristic
172C13×#382C2211yescharacteristic
173C13×#382C2211yescharacteristic
174C13×#381C2211yescharacteristic
175C13×#381C2211yescharacteristic
176C13×#380C2211yescharacteristic
177C13×#380C2211yescharacteristic
178C13×#380C2211yescharacteristic
179C13×#380C2211yescharacteristic
180C4×C13×C4⋊C4C2211yescharacteristic
181C4×C13×C4⋊C4C2211yescharacteristic
182C4×C13×C4⋊C4C2211yescharacteristic
183C4×C13×C4⋊C4C2211yescharacteristic
184C4×C13×C4⋊C4C2211yescharacteristic
185C4×C13×C4⋊C4C2211yescharacteristic
186C4×C13×C22⋊C4C2211yescharacteristic
187C22×Q8×C13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C13×C4⋊Q8—42no—
198C13×#126—24no—
199C13×#126—42no—
200C13×#125—42no—
201C13×#124—42no—
202C13×#123—42no—
203C13×#123—42no—
204C13×#123—42no—
205C13×C22⋊Q8—42no—
206C13×C22⋊Q8—42no—
207C13×#121—42no—
208C13×#117—24no—
209C13×#117—24no—
210C13×#117—42no—
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C4⋊C4C2311yescharacteristic
213C2×C13×C4⋊C4C2311yescharacteristic
214C2×C13×C4⋊C4C2311yescharacteristic
215C2×C13×C4⋊C4C2311yescharacteristic
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C4⋊C4C2311yescharacteristic
229C2×C13×C4⋊C4C2311yescharacteristic
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C4⋊C4C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237C2×C13×C4⋊C4C2311yescharacteristic
238C2×C13×C4⋊C4C2311yescharacteristic
239C2×C13×C4⋊C4C2311yescharacteristic
240C2×C13×C4⋊C4C2311yescharacteristic
241C2×C13×C4⋊C4C2311yescharacteristic
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×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×C22⋊C4C2311yescharacteristic
259C2×C13×C22⋊C4C2311yescharacteristic
260C2×C13×C22⋊C4C2311yescharacteristic
261C2×C13×C22⋊C4C2311yescharacteristic
262C2×C13×C22⋊C4C2311yescharacteristic
263C2×C13×C22⋊C4C2311yescharacteristic
264C2×C13×C22⋊C4C2311yescharacteristic
265C2×C13×C22⋊C4C2311yescharacteristic
266C2×C13×C22⋊C4C2311yescharacteristic
267C2×C13×C22⋊C4C2311yescharacteristic
268C2×C13×C22⋊C4C2311yescharacteristic
269C2×C13×C22⋊C4C2311yescharacteristic
270C2×C13×C22⋊C4C2311yescharacteristic
271C2×C13×C22⋊C4C2311yescharacteristic
272C2×C13×C22⋊C4C2311yescharacteristic
273C2×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×C42×C13—42no—
293C2×C42×C13C2311yescharacteristic
294C2×C42×C13C2311yescharacteristic
295C2×C42×C13C2311yescharacteristic
296C2×C42×C13C2311yescharacteristic
297C2×C42×C13C2311yescharacteristic
298C2×C42×C13C2311yescharacteristic
299C2×C42×C13C2311yescharacteristic
300C2×C42×C13C2311yescharacteristic
301C2×C42×C13C2311yescharacteristic
302C2×C42×C13C2311yescharacteristic
303C2×C42×C13C2311yescharacteristic
304C2×C42×C13C2311yescharacteristic
305C2×C42×C13C2311yescharacteristic
306C2×C42×C13C2311yescharacteristic
307C13×#95C2311yescharacteristic
308C13×#95C2311yescharacteristic
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311C13×#95C2311yescharacteristic
312C13×#95C2311yescharacteristic
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
315C13×#95C2311yescharacteristic
316C13×#95C2311yescharacteristic
317C13×#95C2311yescharacteristic
318C13×#95C2311yescharacteristic
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323C13×#95C2311yescharacteristic
324C13×#95C2311yescharacteristic
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331C13×#95C2311yescharacteristic
332C13×#95C2311yescharacteristic
333C13×#95C2311yescharacteristic
334C13×#95C2311yescharacteristic
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357#36827C1311yesmaximal, characteristic, direct product factor, Sylow
358C24×C13C2411yescharacteristic
359C24×C13C2411yescharacteristic
360C24×C13C2411yescharacteristic
361C2×Q8×C13—22no—
362C2×Q8×C13—41no—
363C2×Q8×C13—41no—
364C2×Q8×C13—41no—
365C2×Q8×C13—41no—
366C2×Q8×C13—41no—
367C2×D4×C13—22no—
368C2×D4×C13—22no—
369C2×D4×C13—22no—
370C2×D4×C13—41no—
371C2×D4×C13—41no—
372C2×D4×C13—41no—
373C2×D4×C13—41no—
374C2×D4×C13—41no—
375C2×D4×C13—41no—
376C22×C4×C13—22no—
377C22×C4×C13—22no—
378C22×C4×C13—22no—
379C22×C4×C13—22no—
380C22×C4×C13—22no—
381C22×C4×C13—22no—
382C22×C4×C13—22no—
383C22×C4×C13—22no—
384C22×C4×C13—41no—
385C22×C4×C13—41no—
386C22×C4×C13—41no—
387C22×C4×C13—41no—
388C22×C4×C13—41no—
389C22×C4×C13—41no—
390C22×C4×C13—41no—
391C22×C4×C13C2411yescharacteristic
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C22×C4×C13C2411yescharacteristic
396C22×C4×C13C2411yescharacteristic
397C22×C4×C13C2411yescharacteristic
398C22×C4×C13C2411yescharacteristic
399C22×C4×C13C2411yescharacteristic
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C13×C4⋊C4—22no—
420C13×C4⋊C4—22no—
421C13×C4⋊C4—22no—
422C13×C4⋊C4—22no—
423C13×C4⋊C4—22no—
424C13×C4⋊C4—22no—
425C13×C4⋊C4—22no—
426C13×C4⋊C4—22no—
427C13×C4⋊C4—22no—
428C13×C4⋊C4—22no—
429C13×C4⋊C4—22no—
430C13×C4⋊C4—22no—
431C13×C4⋊C4—22no—
432C13×C4⋊C4—22no—
433C13×C4⋊C4—22no—
434C13×C4⋊C4—22no—
435C13×C4⋊C4—22no—
436C13×C4⋊C4—41no—
437C13×C4⋊C4—41no—
438C13×C4⋊C4—41no—
439C13×C4⋊C4—41no—
440C13×C4⋊C4—41no—
441C13×C4⋊C4—41no—
442C13×C4⋊C4—41no—
443C13×C4⋊C4—41no—
444C13×C4⋊C4—41no—
445C13×C4⋊C4—41no—
446C13×C4⋊C4—41no—
447C13×C4⋊C4—41no—
448C13×C4⋊C4—41no—
449C13×C4⋊C4—41no—
450C13×C4⋊C4—41no—
451C13×C4⋊C4—41no—
452C13×C4⋊C4—41no—
453C13×C4⋊C4—41no—
454C13×C4⋊C4—41no—
455C13×C4⋊C4—41no—
456C13×C4⋊C4—41no—
457C13×C4⋊C4—41no—
458C13×C4⋊C4—41no—
459C13×C4⋊C4—41no—
460C13×C4⋊C4—41no—
461C13×C4⋊C4—41no—
462C13×C4⋊C4—41no—
463C13×C4⋊C4—41no—
464C13×C4⋊C4—41no—
465C13×C4⋊C4—41no—
466C13×C22⋊C4—22no—
467C13×C22⋊C4—22no—
468C13×C22⋊C4—22no—
469C13×C22⋊C4—22no—
470C13×C22⋊C4—22no—
471C13×C22⋊C4—22no—
472C13×C22⋊C4—22no—
473C13×C22⋊C4—22no—
474C13×C22⋊C4—22no—
475C13×C22⋊C4—22no—
476C13×C22⋊C4—22no—
477C13×C22⋊C4—22no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—41no—
482C13×C22⋊C4—41no—
483C13×C22⋊C4—41no—
484C13×C22⋊C4—41no—
485C13×C22⋊C4—41no—
486C13×C22⋊C4—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4—41no—
490C13×C22⋊C4—41no—
491C13×C22⋊C4—41no—
492C13×C22⋊C4—41no—
493C13×C22⋊C4—41no—
494C13×C22⋊C4—41no—
495C13×C22⋊C4—41no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C42×C13—22no—
501C42×C13—22no—
502C42×C13—41no—
503C42×C13—41no—
504C42×C13—41no—
505C42×C13—41no—
506C42×C13—41no—
507C42×C13—41no—
508C42×C13—41no—
509C42×C13—41no—
510C42×C13—41no—
511C42×C13—41no—
512C42×C13—41no—
513C42×C13#4114yes—
514#2855C2×C1311yescharacteristic, complemented
515#2854C2×C1311yescharacteristic
516#2802C2×C1311yescharacteristic, complemented
517#2800C2×C1311yescharacteristic, complemented
518#2792C2×C1311yescharacteristic, complemented
519#2788C2×C1311yescharacteristic, complemented
520#2783C2×C1311yescharacteristic, complemented
521#2780C2×C1311yescharacteristic, complemented
522#2744C2×C1311yescharacteristic, complemented
523#2739C2×C1311yescharacteristic, complemented
524#2729C2×C1311yescharacteristic, complemented
525#2725C2×C1311yescharacteristic, complemented
526#2707C2×C1311yescharacteristic, complemented
527#2701C2×C1311yescharacteristic
528#2695C2×C1311yescharacteristic, complemented
529#2686C2×C1311yescharacteristic
530#2680C2×C1311yescharacteristic, complemented
531#2674C2×C1311yescharacteristic, complemented
532#2654C2×C1311yescharacteristic, complemented
533#2650C2×C1311yescharacteristic, complemented
534#2609C2×C1311yescharacteristic, complemented
535#2601C2×C1311yescharacteristic, complemented
536#2601C2×C1311yescharacteristic, complemented
537#2590C2×C1311yescharacteristic, complemented
538#2560C2×C1311yescharacteristic, complemented
539#2550C2×C1311yescharacteristic, complemented
540#2474C2×C1311yescharacteristic, complemented
541#2470C2×C1311yescharacteristic, complemented
542#2334C2×C1311yescharacteristic, complemented
543#2314C2×C1311yescharacteristic, complemented
544#2296C2×C1311yescharacteristic, complemented
545C23×C13—21no—
546C23×C13—21no—
547C23×C13—21no—
548C23×C13—21no—
549C23×C13—21no—
550C23×C13—21no—
551C23×C13—21no—
552C23×C13—21no—
553C23×C13—21no—
554C23×C13—21no—
555C23×C13—21no—
556C23×C13—21no—
557C23×C13—21no—
558C23×C13—21no—
559C23×C13—21no—
560C23×C13—21no—
561C23×C13—21no—
562C23×C13—21no—
563C23×C13—21no—
564C23×C13—21no—
565C23×C13H(5,𝔽2)12yes—
566C23×C13C2511yescharacteristic
567Q8×C13—82no—
568Q8×C13—82no—
569D4×C13—82no—
570D4×C13—82no—
571D4×C13—82no—
572C2×C4×C13—28no—
573C2×C4×C13—21no—
574C2×C4×C13—21no—
575C2×C4×C13—21no—
576C2×C4×C13—21no—
577C2×C4×C13—21no—
578C2×C4×C13—21no—
579C2×C4×C13—21no—
580C2×C4×C13—21no—
581C2×C4×C13—21no—
582C2×C4×C13—21no—
583C2×C4×C13—21no—
584C2×C4×C13—21no—
585C2×C4×C13—21no—
586C2×C4×C13—21no—
587C2×C4×C13—21no—
588C2×C4×C13—21no—
589C2×C4×C13—21no—
590C2×C4×C13—21no—
591C2×C4×C13—21no—
592C2×C4×C13—21no—
593C2×C4×C13—21no—
594C2×C4×C13—21no—
595C2×C4×C13—21no—
596C2×C4×C13—21no—
597C2×C4×C13—21no—
598C2×C4×C13—21no—
599C2×C4×C13—21no—
600C2×C4×C13—21no—
601C2×C4×C13—21no—
602C2×C4×C13—21no—
603C2×C4×C13—21no—
604C2×C4×C13—21no—
605C2×C4×C13—21no—
606C2×C4×C13—21no—
607C2×C4×C13—21no—
608C2×C4×C13—21no—
609C2×C4×C13—21no—
610C2×C4×C13—21no—
611C2×C4×C13—21no—
612C2×C4×C13—21no—
613C2×C4×C13—21no—
614C2×C4×C13—21no—
615C2×C4×C13—21no—
616C2×C4×C13—21no—
617C2×C4×C13—21no—
618C2×C4×C13—21no—
619C2×C4×C13—21no—
620C2×C4×C13—21no—
621C2×C4×C13—21no—
622C2×C4×C13—21no—
623C2×C4×C13—21no—
624C2×C4×C13—21no—
625C2×C4×C13—21no—
626C2×C4×C13—21no—
627C2×C4×C13—21no—
628C2×C4×C13—21no—
629C2×C4×C13—21no—
630C2×C4×C13—21no—
631C2×C4×C13—21no—
632C2×C4×C13—21no—
633C2×C4×C13—21no—
634C2×C4×C13—21no—
635C2×C4×C13—21no—
636C2×C4×C13—21no—
637C2×C4×C13—21no—
638C2×C4×C13—21no—
639C2×C4×C13—21no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—44no—
652C2×C4×C13—44no—
653C2×C4×C13—44no—
654C2×C4×C13—82no—
655C2×C4×C13C2×#4112yes—
656C2×C4×C13C2×#4112yes—
657C2×C4×C13C2×#4112yes—
658C2×C4×C13H(5,𝔽2)12yes—
659C2×C4×C132−1+412yes—
660C2×C4×C132−1+412yes—
661C2×C4⋊Q8C22×C1311yescharacteristic
662C2×#126C22×C1311yescharacteristic
663C2×#126C22×C1311yescharacteristic
664C2×#125C22×C1311yescharacteristic
665C2×#124C22×C1311yescharacteristic
666C2×#123C22×C1311yescharacteristic
667C2×#123C22×C1311yescharacteristic
668C2×#123C22×C1311yescharacteristic
669C2×C22⋊Q8C22×C1311yescharacteristic
670C2×C22⋊Q8C22×C1311yescharacteristic
671C2×#121C22×C1311yescharacteristic
672C2×#117C22×C1311yescharacteristic
673C2×#117C22×C1311yescharacteristic
674C2×#117C22×C1311yescharacteristic
675C22×C42C22×C1311yescharacteristic
676#400C22×C1311yescharacteristic
677#400C22×C1311yescharacteristic
678#400C22×C1311yescharacteristic
679#400C22×C1311yescharacteristic
680#400C22×C1311yescharacteristic
681#400C22×C1311yescharacteristic
682#400C22×C1311yescharacteristic
683#399C22×C1311yescharacteristic
684#398C22×C1311yescharacteristic
685#398C22×C1311yescharacteristic
686#398C22×C1311yescharacteristic
687#398C22×C1311yescharacteristic
688#398C22×C1311yescharacteristic
689#398C22×C1311yescharacteristic
690#398C22×C1311yescharacteristic
691#398C22×C1311yescharacteristic
692#398C22×C1311yescharacteristic
693#398C22×C1311yescharacteristic
694#398C22×C1311yescharacteristic
695#397C22×C1311yescharacteristic
696#397C22×C1311yescharacteristic
697#397C22×C1311yescharacteristic
698#397C22×C1311yescharacteristic
699#397C22×C1311yescharacteristic
700#397C22×C1311yescharacteristic
701#397C22×C1311yescharacteristic
702#396C22×C1311yescharacteristic
703#396C22×C1311yescharacteristic
704#396C22×C1311yescharacteristic
705#396C22×C1311yescharacteristic
706#396C22×C1311yescharacteristic
707#396C22×C1311yescharacteristic
708#396C22×C1311yescharacteristic
709#396C22×C1311yescharacteristic
710#396C22×C1311yescharacteristic
711#396C22×C1311yescharacteristic
712#395C22×C1311yescharacteristic
713#395C22×C1311yescharacteristic
714#395C22×C1311yescharacteristic
715#395C22×C1311yescharacteristic
716#394C22×C1311yescharacteristic
717#394C22×C1311yescharacteristic
718#394C22×C1311yescharacteristic
719#394C22×C1311yescharacteristic
720#394C22×C1311yescharacteristic
721#394C22×C1311yescharacteristic
722#393C22×C1311yescharacteristic
723#393C22×C1311yescharacteristic
724#391C22×C1311yescharacteristic
725#391C22×C1311yescharacteristic
726#391C22×C1311yescharacteristic
727#390C22×C1311yescharacteristic
728#390C22×C1311yescharacteristic
729#390C22×C1311yescharacteristic
730#389C22×C1311yescharacteristic
731#389C22×C1311yescharacteristic
732#389C22×C1311yescharacteristic
733#389C22×C1311yescharacteristic
734#389C22×C1311yescharacteristic
735#389C22×C1311yescharacteristic
736#389C22×C1311yescharacteristic
737#389C22×C1311yescharacteristic
738#389C22×C1311yescharacteristic
739#389C22×C1311yescharacteristic
740#389C22×C1311yescharacteristic
741#389C22×C1311yescharacteristic
742#389C22×C1311yescharacteristic
743#389C22×C1311yescharacteristic
744#389C22×C1311yescharacteristic
745#389C22×C1311yescharacteristic
746#388C22×C1311yescharacteristic
747#388C22×C1311yescharacteristic
748#388C22×C1311yescharacteristic
749#388C22×C1311yescharacteristic
750#388C22×C1311yescharacteristic
751#388C22×C1311yescharacteristic
752#388C22×C1311yescharacteristic
753#388C22×C1311yescharacteristic
754#388C22×C1311yescharacteristic
755#388C22×C1311yescharacteristic
756#388C22×C1311yescharacteristic
757#388C22×C1311yescharacteristic
758#388C22×C1311yescharacteristic
759#388C22×C1311yescharacteristic
760#388C22×C1311yescharacteristic
761#388C22×C1311yescharacteristic
762#388C22×C1311yescharacteristic
763#388C22×C1311yescharacteristic
764#388C22×C1311yescharacteristic
765#388C22×C1311yescharacteristic
766#387C22×C1311yescharacteristic
767#387C22×C1311yescharacteristic
768#387C22×C1311yescharacteristic
769#387C22×C1311yescharacteristic
770#387C22×C1311yescharacteristic
771#387C22×C1311yescharacteristic
772#387C22×C1311yescharacteristic
773#387C22×C1311yescharacteristic
774#387C22×C1311yescharacteristic
775#387C22×C1311yescharacteristic
776#387C22×C1311yescharacteristic
777#387C22×C1311yescharacteristic
778#387C22×C1311yescharacteristic
779#387C22×C1311yescharacteristic
780#387C22×C1311yescharacteristic
781#387C22×C1311yescharacteristic
782#387C22×C1311yescharacteristic
783#387C22×C1311yescharacteristic
784#386C22×C1311yescharacteristic
785#386C22×C1311yescharacteristic
786#386C22×C1311yescharacteristic
787#386C22×C1311yescharacteristic
788#386C22×C1311yescharacteristic
789#385C22×C1311yescharacteristic
790#385C22×C1311yescharacteristic
791#385C22×C1311yescharacteristic
792#385C22×C1311yescharacteristic
793#385C22×C1311yescharacteristic
794#385C22×C1311yescharacteristic
795#385C22×C1311yescharacteristic
796#385C22×C1311yescharacteristic
797#385C22×C1311yescharacteristic
798#385C22×C1311yescharacteristic
799#385C22×C1311yescharacteristic
800#384C22×C1311yescharacteristic
801#382C22×C1311yescharacteristic
802#382C22×C1311yescharacteristic
803#381C22×C1311yescharacteristic
804#381C22×C1311yescharacteristic
805#380C22×C1311yescharacteristic
806#380C22×C1311yescharacteristic
807#380C22×C1311yescharacteristic
808#380C22×C1311yescharacteristic
809C4×C4⋊C4C22×C1311yescharacteristic
810C4×C4⋊C4C22×C1311yescharacteristic
811C4×C4⋊C4C22×C1311yescharacteristic
812C4×C4⋊C4C22×C1311yescharacteristic
813C4×C4⋊C4C22×C1311yescharacteristic
814C4×C4⋊C4C22×C1311yescharacteristic
815C4×C22⋊C4C22×C1311yescharacteristic
816C22×C13—22no—
817C22×C13—22no—
818C22×C13—22no—
819C22×C13—41no—
820C22×C13—41no—
821C22×C13—41no—
822C22×C13—41no—
823C22×C13—41no—
824C22×C13—41no—
825C22×C13—41no—
826C22×C13—41no—
827C22×C13—41no—
828C22×C13—41no—
829C22×C13—41no—
830C22×C13—41no—
831C22×C13—41no—
832C22×C13—41no—
833C22×C13—41no—
834C22×C13—41no—
835C22×C13—41no—
836C22×C13—41no—
837C22×C13C22×#4111yescharacteristic
838C22×C13C2×H(5,𝔽2)11yescharacteristic
839C22×C13C2×H(5,𝔽2)11yescharacteristic
840C22×C13C2×2−1+411yescharacteristic
841C22×C13C2×2−1+411yescharacteristic
842C22×C13#58511yescharacteristic
843C22×C13#58511yescharacteristic
844C4×C13—22no—
845C4×C13—22no—
846C4×C13—22no—
847C4×C13—22no—
848C4×C13—22no—
849C4×C13—22no—
850C4×C13—41no—
851C4×C13—41no—
852C4×C13—41no—
853C4×C13—41no—
854C4×C13—41no—
855C4×C13—41no—
856C4×C13—41no—
857C4×C13—41no—
858C4×C13—41no—
859C4×C13—41no—
860C4×C13—41no—
861C4×C13—41no—
862C4×C13—41no—
863C4×C13—41no—
864C4×C13—41no—
865C4×C13—41no—
866C4×C13—41no—
867C4×C13—41no—
868C4×C13—41no—
869C4×C13—41no—
870C4×C13—41no—
871C4×C13—41no—
872C22×Q8C23×C1311yescharacteristic
873C22×Q8C23×C1311yescharacteristic
874C22×D4C23×C1311yescharacteristic
875C22×D4C23×C1311yescharacteristic
876C22×D4C23×C1311yescharacteristic
877C23×C4C23×C1311yescharacteristic
878C23×C4C23×C1311yescharacteristic
879C23×C4C23×C1311yescharacteristic
880C23×C4C23×C1311yescharacteristic
881C23×C4C23×C1311yescharacteristic
882C4⋊Q8—42no—
883#126—24no—
884#126—42no—
885#125—42no—
886#124—42no—
887#123—42no—
888#123—42no—
889#123—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892#121—42no—
893#117—24no—
894#117—24no—
895#117—42no—
896C2×C4⋊C4C23×C1311yescharacteristic
897C2×C4⋊C4C23×C1311yescharacteristic
898C2×C4⋊C4C23×C1311yescharacteristic
899C2×C4⋊C4C23×C1311yescharacteristic
900C2×C4⋊C4C23×C1311yescharacteristic
901C2×C4⋊C4C23×C1311yescharacteristic
902C2×C4⋊C4C23×C1311yescharacteristic
903C2×C4⋊C4C23×C1311yescharacteristic
904C2×C4⋊C4C23×C1311yescharacteristic
905C2×C4⋊C4C23×C1311yescharacteristic
906C2×C4⋊C4C23×C1311yescharacteristic
907C2×C4⋊C4C23×C1311yescharacteristic
908C2×C4⋊C4C23×C1311yescharacteristic
909C2×C4⋊C4C23×C1311yescharacteristic
910C2×C4⋊C4C23×C1311yescharacteristic
911C2×C4⋊C4C23×C1311yescharacteristic
912C2×C4⋊C4C23×C1311yescharacteristic
913C2×C4⋊C4C23×C1311yescharacteristic
914C2×C4⋊C4C23×C1311yescharacteristic
915C2×C4⋊C4C23×C1311yescharacteristic
916C2×C4⋊C4C23×C1311yescharacteristic
917C2×C4⋊C4C23×C1311yescharacteristic
918C2×C4⋊C4C23×C1311yescharacteristic
919C2×C4⋊C4C23×C1311yescharacteristic
920C2×C4⋊C4C23×C1311yescharacteristic
921C2×C4⋊C4C23×C1311yescharacteristic
922C2×C4⋊C4C23×C1311yescharacteristic
923C2×C4⋊C4C23×C1311yescharacteristic
924C2×C4⋊C4C23×C1311yescharacteristic
925C2×C4⋊C4C23×C1311yescharacteristic
926C2×C4⋊C4C23×C1311yescharacteristic
927C2×C4⋊C4C23×C1311yescharacteristic
928C2×C4⋊C4C23×C1311yescharacteristic
929C2×C4⋊C4C23×C1311yescharacteristic
930C2×C4⋊C4C23×C1311yescharacteristic
931C2×C4⋊C4C23×C1311yescharacteristic
932C2×C4⋊C4C23×C1311yescharacteristic
933C2×C4⋊C4C23×C1311yescharacteristic
934C2×C4⋊C4C23×C1311yescharacteristic
935C2×C4⋊C4C23×C1311yescharacteristic
936C2×C4⋊C4C23×C1311yescharacteristic
937C2×C4⋊C4C23×C1311yescharacteristic
938C2×C4⋊C4C23×C1311yescharacteristic
939C2×C4⋊C4C23×C1311yescharacteristic
940C2×C4⋊C4C23×C1311yescharacteristic
941C2×C4⋊C4C23×C1311yescharacteristic
942C2×C4⋊C4C23×C1311yescharacteristic
943C2×C22⋊C4C23×C1311yescharacteristic
944C2×C22⋊C4C23×C1311yescharacteristic
945C2×C22⋊C4C23×C1311yescharacteristic
946C2×C22⋊C4C23×C1311yescharacteristic
947C2×C22⋊C4C23×C1311yescharacteristic
948C2×C22⋊C4C23×C1311yescharacteristic
949C2×C22⋊C4C23×C1311yescharacteristic
950C2×C22⋊C4C23×C1311yescharacteristic
951C2×C22⋊C4C23×C1311yescharacteristic
952C2×C22⋊C4C23×C1311yescharacteristic
953C2×C22⋊C4C23×C1311yescharacteristic
954C2×C22⋊C4C23×C1311yescharacteristic
955C2×C22⋊C4C23×C1311yescharacteristic
956C2×C22⋊C4C23×C1311yescharacteristic
957C2×C22⋊C4C23×C1311yescharacteristic
958C2×C22⋊C4C23×C1311yescharacteristic
959C2×C22⋊C4C23×C1311yescharacteristic
960C2×C22⋊C4C23×C1311yescharacteristic
961C2×C22⋊C4C23×C1311yescharacteristic
962C2×C22⋊C4C23×C1311yescharacteristic
963C2×C22⋊C4C23×C1311yescharacteristic
964C2×C22⋊C4C23×C1311yescharacteristic
965C2×C22⋊C4C23×C1311yescharacteristic
966C2×C22⋊C4C23×C1311yescharacteristic
967C2×C22⋊C4C23×C1311yescharacteristic
968C2×C22⋊C4C23×C1311yescharacteristic
969C2×C22⋊C4C23×C1311yescharacteristic
970C2×C22⋊C4C23×C1311yescharacteristic
971C2×C22⋊C4C23×C1311yescharacteristic
972C2×C22⋊C4C23×C1311yescharacteristic
973C2×C22⋊C4C23×C1311yescharacteristic
974C2×C22⋊C4C23×C1311yescharacteristic
975C2×C22⋊C4C23×C1311yescharacteristic
976C2×C22⋊C4C23×C1311yescharacteristic
977C2×C42—42no—
978C2×C42C23×C1311yescharacteristic
979C2×C42C23×C1311yescharacteristic
980C2×C42C23×C1311yescharacteristic
981C2×C42C23×C1311yescharacteristic
982C2×C42C23×C1311yescharacteristic
983C2×C42C23×C1311yescharacteristic
984C2×C42C23×C1311yescharacteristic
985C2×C42C23×C1311yescharacteristic
986C2×C42C23×C1311yescharacteristic
987C2×C42C23×C1311yescharacteristic
988C2×C42C23×C1311yescharacteristic
989C2×C42C23×C1311yescharacteristic
990C2×C42C23×C1311yescharacteristic
991C2×C42C23×C1311yescharacteristic
992#95C23×C1311yescharacteristic
993#95C23×C1311yescharacteristic
994#95C23×C1311yescharacteristic
995#95C23×C1311yescharacteristic
996#95C23×C1311yescharacteristic
997#95C23×C1311yescharacteristic
998#95C23×C1311yescharacteristic
999#95C23×C1311yescharacteristic
1000#95C23×C1311yescharacteristic
1001#95C23×C1311yescharacteristic
1002#95C23×C1311yescharacteristic
1003#95C23×C1311yescharacteristic
1004#95C23×C1311yescharacteristic
1005#95C23×C1311yescharacteristic
1006#95C23×C1311yescharacteristic
1007#95C23×C1311yescharacteristic
1008#95C23×C1311yescharacteristic
1009#95C23×C1311yescharacteristic
1010#95C23×C1311yescharacteristic
1011#95C23×C1311yescharacteristic
1012#95C23×C1311yescharacteristic
1013#95C23×C1311yescharacteristic
1014#95C23×C1311yescharacteristic
1015#95C23×C1311yescharacteristic
1016#95C23×C1311yescharacteristic
1017#95C23×C1311yescharacteristic
1018#95C23×C1311yescharacteristic
1019#95C23×C1311yescharacteristic
1020#95C23×C1311yescharacteristic
1021#95C23×C1311yescharacteristic
1022#95C23×C1311yescharacteristic
1023#95C23×C1311yescharacteristic
1024#95C23×C1311yescharacteristic
1025#95C23×C1311yescharacteristic
1026#95C23×C1311yescharacteristic
1027#95C23×C1311yescharacteristic
1028#95C23×C1311yescharacteristic
1029#95C23×C1311yescharacteristic
1030#95C23×C1311yescharacteristic
1031#95C23×C1311yescharacteristic
1032#95C23×C1311yescharacteristic
1033#95C23×C1311yescharacteristic
1034#95C23×C1311yescharacteristic
1035#95C23×C1311yescharacteristic
1036#95C23×C1311yescharacteristic
1037#95C23×C1311yescharacteristic
1038#95C23×C1311yescharacteristic
1039#95C23×C1311yescharacteristic
1040#95C23×C1311yescharacteristic
1041#95C23×C1311yescharacteristic
1042C2×C13—42no—
1043C2×C13—81no—
1044C2×C13—81no—
1045C2×C13#345511yescharacteristic
1046C2×C13#349211yescharacteristic
1047C2×C13#351111yescharacteristic
1048C2×C13#353411yescharacteristic
1049C2×C13#353511yescharacteristic
1050C2×C13#354711yescharacteristic
1051C2×C13#355511yescharacteristic
1052C24C24×C1311yescharacteristic
1053C24C24×C1311yescharacteristic
1054C24C24×C1311yescharacteristic
1055C2×Q8—22no—
1056C2×Q8—41no—
1057C2×Q8—41no—
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×Q8—41no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4C24×C1311yescharacteristic
1086C22×C4C24×C1311yescharacteristic
1087C22×C4C24×C1311yescharacteristic
1088C22×C4C24×C1311yescharacteristic
1089C22×C4C24×C1311yescharacteristic
1090C22×C4C24×C1311yescharacteristic
1091C22×C4C24×C1311yescharacteristic
1092C22×C4C24×C1311yescharacteristic
1093C22×C4C24×C1311yescharacteristic
1094C22×C4C24×C1311yescharacteristic
1095C22×C4C24×C1311yescharacteristic
1096C22×C4C24×C1311yescharacteristic
1097C22×C4C24×C1311yescharacteristic
1098C22×C4C24×C1311yescharacteristic
1099C22×C4C24×C1311yescharacteristic
1100C22×C4C24×C1311yescharacteristic
1101C22×C4C24×C1311yescharacteristic
1102C22×C4C24×C1311yescharacteristic
1103C22×C4C24×C1311yescharacteristic
1104C22×C4C24×C1311yescharacteristic
1105C22×C4C24×C1311yescharacteristic
1106C22×C4C24×C1311yescharacteristic
1107C22×C4C24×C1311yescharacteristic
1108C22×C4C24×C1311yescharacteristic
1109C22×C4C24×C1311yescharacteristic
1110C22×C4C24×C1311yescharacteristic
1111C22×C4C24×C1311yescharacteristic
1112C22×C4C24×C1311yescharacteristic
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C42—22no—
1195C42—22no—
1196C42—41no—
1197C42—41no—
1198C42—41no—
1199C42—41no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42C13×#4114yes—
1208C13#3682711yescharacteristic, direct product factor, Sylow
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23C13×H(5,𝔽2)12yes—
1230C23C25×C1311yescharacteristic
1231Q8—82no—
1232Q8—82no—
1233D4—82no—
1234D4—82no—
1235D4—82no—
1236C2×C4—28no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—82no—
1319C2×C4C2×C13×#4112yes—
1320C2×C4C2×C13×#4112yes—
1321C2×C4C2×C13×#4112yes—
1322C2×C4C13×H(5,𝔽2)12yes—
1323C2×C4C13×2−1+412yes—
1324C2×C4C13×2−1+412yes—
1325C22—22no—
1326C22—22no—
1327C22—22no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22C22×C13×#4111yescharacteristic
1347C22C2×C13×H(5,𝔽2)11yescharacteristic
1348C22C2×C13×H(5,𝔽2)11yescharacteristic
1349C22C2×C13×2−1+411yescharacteristic
1350C22C2×C13×2−1+411yescharacteristic
1351C22C13×#58511yescharacteristic
1352C22C13×#58511yescharacteristic
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C2—42no—
1382C2—81no—
1383C2—81no—
1384C2C13×#345511yescharacteristic
1385C2C13×#349211yescharacteristic
1386C2C13×#351111yescharacteristic
1387C2C13×#353411yescharacteristic
1388C2C13×#353511yescharacteristic
1389C2C13×#354711yescharacteristic
1390C2C13×#355511yescharacteristic
subgroupG/H
center, socleC23×C13C25
commutator, Frattini, cosocleC23C25×C13
prime radicalC2×C13×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#2855C2semidirect
3. C13×#2802C2semidirect
4. C13×#2800C2semidirect
5. C13×#2792C2semidirect
6. C13×#2788C2semidirect
7. C13×#2783C2semidirect
8. C13×#2780C2semidirect
9. C13×#2744C2semidirect
10. C13×#2739C2semidirect
11. C13×#2729C2semidirect
12. C13×#2725C2semidirect
13. C13×#2707C2semidirect
15. C13×#2695C2semidirect
17. C13×#2680C2semidirect
18. C13×#2674C2semidirect
19. C13×#2654C2semidirect
20. C13×#2650C2semidirect
21. C13×#2609C2semidirect
22. C13×#2601C2semidirect
23. C13×#2601C2semidirect
24. C13×#2590C2semidirect
25. C13×#2560C2semidirect
26. C13×#2550C2semidirect
27. C13×#2474C2semidirect
28. C13×#2470C2semidirect
29. C13×#2334C2semidirect
30. C13×#2314C2semidirect
31. C13×#2296C2semidirect
357. #36827C13direct (N × H)
514. #2855C2×C13semidirect
516. #2802C2×C13semidirect
517. #2800C2×C13semidirect
518. #2792C2×C13semidirect
519. #2788C2×C13semidirect
520. #2783C2×C13semidirect
521. #2780C2×C13semidirect
522. #2744C2×C13semidirect
523. #2739C2×C13semidirect
524. #2729C2×C13semidirect
525. #2725C2×C13semidirect
526. #2707C2×C13semidirect
528. #2695C2×C13semidirect
530. #2680C2×C13semidirect
531. #2674C2×C13semidirect
532. #2654C2×C13semidirect
533. #2650C2×C13semidirect
534. #2609C2×C13semidirect
535. #2601C2×C13semidirect
536. #2601C2×C13semidirect
537. #2590C2×C13semidirect
538. #2560C2×C13semidirect
539. #2550C2×C13semidirect
540. #2474C2×C13semidirect
541. #2470C2×C13semidirect
542. #2334C2×C13semidirect
543. #2314C2×C13semidirect
544. #2296C2×C13semidirect
1208. C13#36827direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#28552
C13×#28542
C13×#28022
C13×#28002
C13×#27922
C13×#27882
C13×#27832
C13×#27802
C13×#27442
C13×#27392
C13×#27292
C13×#27252
C13×#27072
C13×#27012
C13×#26952
C13×#26862
C13×#26802
C13×#26742
C13×#26542
C13×#26502
C13×#26092
C13×#26012
C13×#25902
C13×#25602
C13×#25502
C13×#24742
C13×#24702
C13×#23342
C13×#23142
C13×#22962
#3682713