Finite Group Databasebeta

← C13×#36736 #15723075

Subgroups — C13×#36736 #15723075

Order 3328.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2849C211yesmaximal, characteristic
2C13×#2848C211yesmaximal, characteristic, complemented
3C13×#2748C211yesmaximal, characteristic, complemented
4C13×#2747C211yesmaximal, characteristic, complemented
5C13×#2740C211yesmaximal, characteristic, complemented
6C13×#2739C211yesmaximal, characteristic, complemented
7C13×#2738C211yesmaximal, characteristic, complemented
8C13×#2738C211yesmaximal, characteristic, complemented
9C13×#2735C211yesmaximal, characteristic, complemented
10C13×#2735C211yesmaximal, characteristic, complemented
11C13×#2704C211yesmaximal, characteristic, complemented
12C13×#2702C211yesmaximal, characteristic, complemented
13C13×#2697C211yesmaximal, characteristic
14C13×#2695C211yesmaximal, characteristic, complemented
15C13×#2694C211yesmaximal, characteristic, complemented
16C13×#2689C211yesmaximal, characteristic, complemented
17C13×#2687C211yesmaximal, characteristic, complemented
18C13×#2685C211yesmaximal, characteristic
19C13×#2667C211yesmaximal, characteristic, complemented
20C13×#2663C211yesmaximal, characteristic, complemented
21C13×#2597C211yesmaximal, characteristic, complemented
22C13×#2587C211yesmaximal, characteristic, complemented
23C13×#2587C211yesmaximal, characteristic, complemented
24C13×#2578C211yesmaximal, characteristic, complemented
25C13×#2479C211yesmaximal, characteristic, complemented
26C13×#2478C211yesmaximal, characteristic, complemented
27C13×#2475C211yesmaximal, characteristic, complemented
28C13×#2470C211yesmaximal, characteristic, complemented
29C13×#2335C211yesmaximal, characteristic, complemented
30C13×#2332C211yesmaximal, characteristic, complemented
31C13×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic
34C2×C13×#126C2211yescharacteristic, complemented
35C2×C13×#125C2211yescharacteristic, complemented
36C2×C13×#123C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C13×#123C2211yescharacteristic
39C2×C13×C22⋊Q8C2211yescharacteristic
40C2×C13×C22⋊Q8C2211yescharacteristic
41C2×C13×C22⋊Q8C2211yescharacteristic
42C2×C13×#120C2211yescharacteristic
43C2×C13×#117C2211yescharacteristic
44C2×C13×#117C2211yescharacteristic
45C13×#400C2211yescharacteristic, complemented
46C13×#400C2211yescharacteristic, complemented
47C13×#400C2211yescharacteristic, complemented
48C13×#400C2211yescharacteristic, complemented
49C13×#400C2211yescharacteristic, complemented
50C13×#400C2211yescharacteristic, complemented
51C13×#400C2211yescharacteristic, complemented
52C13×#399C2211yescharacteristic
53C13×#399C2211yescharacteristic
54C13×#399C2211yescharacteristic
55C13×#399C2211yescharacteristic, complemented
56C13×#399C2211yescharacteristic, complemented
57C13×#398C2211yescharacteristic, complemented
58C13×#398C2211yescharacteristic, complemented
59C13×#398C2211yescharacteristic, complemented
60C13×#398C2211yescharacteristic, complemented
61C13×#398C2211yescharacteristic, complemented
62C13×#398C2211yescharacteristic, complemented
63C13×#398C2211yescharacteristic, complemented
64C13×#398C2211yescharacteristic, complemented
65C13×#398C2211yescharacteristic, complemented
66C13×#398C2211yescharacteristic, complemented
67C13×#397C2211yescharacteristic
68C13×#397C2211yescharacteristic
69C13×#397C2211yescharacteristic
70C13×#397C2211yescharacteristic
71C13×#397C2211yescharacteristic
72C13×#397C2211yescharacteristic
73C13×#397C2211yescharacteristic
74C13×#397C2211yescharacteristic
75C13×#397C2211yescharacteristic, complemented
76C13×#397C2211yescharacteristic, complemented
77C13×#396C2211yescharacteristic
78C13×#396C2211yescharacteristic
79C13×#396C2211yescharacteristic
80C13×#396C2211yescharacteristic
81C13×#396C2211yescharacteristic
82C13×#396C2211yescharacteristic
83C13×#396C2211yescharacteristic
84C13×#396C2211yescharacteristic, complemented
85C13×#395C2211yescharacteristic, complemented
86C13×#394C2211yescharacteristic
87C13×#394C2211yescharacteristic
88C13×#394C2211yescharacteristic
89C13×#394C2211yescharacteristic
90C13×#394C2211yescharacteristic
91C13×#394C2211yescharacteristic
92C13×#393C2211yescharacteristic, complemented
93C13×#391C2211yescharacteristic, complemented
94C13×#391C2211yescharacteristic, complemented
95C13×#390C2211yescharacteristic
96C13×#390C2211yescharacteristic
97C13×#390C2211yescharacteristic
98C13×#389C2211yescharacteristic, complemented
99C13×#389C2211yescharacteristic, complemented
100C13×#389C2211yescharacteristic, complemented
101C13×#389C2211yescharacteristic, complemented
102C13×#389C2211yescharacteristic, complemented
103C13×#389C2211yescharacteristic, complemented
104C13×#389C2211yescharacteristic, complemented
105C13×#389C2211yescharacteristic, complemented
106C13×#389C2211yescharacteristic, complemented
107C13×#388C2211yescharacteristic
108C13×#388C2211yescharacteristic
109C13×#388C2211yescharacteristic
110C13×#388C2211yescharacteristic
111C13×#388C2211yescharacteristic
112C13×#388C2211yescharacteristic
113C13×#388C2211yescharacteristic
114C13×#388C2211yescharacteristic
115C13×#388C2211yescharacteristic
116C13×#388C2211yescharacteristic
117C13×#388C2211yescharacteristic
118C13×#388C2211yescharacteristic
119C13×#388C2211yescharacteristic
120C13×#388C2211yescharacteristic
121C13×#388C2211yescharacteristic
122C13×#388C2211yescharacteristic
123C13×#388C2211yescharacteristic
124C13×#388C2211yescharacteristic, complemented
125C13×#388C2211yescharacteristic, complemented
126C13×#388C2211yescharacteristic, complemented
127C13×#388C2211yescharacteristic, complemented
128C13×#388C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
138C13×#387C2211yescharacteristic, complemented
139C13×#387C2211yescharacteristic, complemented
140C13×#387C2211yescharacteristic, complemented
141C13×#387C2211yescharacteristic, complemented
142C13×#387C2211yescharacteristic, complemented
143C13×#386C2211yescharacteristic
144C13×#386C2211yescharacteristic
145C13×#386C2211yescharacteristic
146C13×#386C2211yescharacteristic
147C13×#386C2211yescharacteristic
148C13×#386C2211yescharacteristic
149C13×#385C2211yescharacteristic
150C13×#385C2211yescharacteristic
151C13×#385C2211yescharacteristic
152C13×#385C2211yescharacteristic
153C13×#385C2211yescharacteristic
154C13×#385C2211yescharacteristic
155C13×#385C2211yescharacteristic
156C13×#385C2211yescharacteristic
157C13×#385C2211yescharacteristic
158C13×#385C2211yescharacteristic
159C13×#385C2211yescharacteristic, complemented
160C13×#385C2211yescharacteristic, complemented
161C13×#383C2211yescharacteristic, complemented
162C13×#381C2211yescharacteristic
163C13×#381C2211yescharacteristic
164C13×#381C2211yescharacteristic
165C13×#381C2211yescharacteristic
166C13×#380C2211yescharacteristic
167C13×#380C2211yescharacteristic
168C13×#380C2211yescharacteristic
169C13×#380C2211yescharacteristic
170C13×#380C2211yescharacteristic
171C13×#380C2211yescharacteristic
172C13×#380C2211yescharacteristic
173C13×#380C2211yescharacteristic, complemented
174C13×#379C2211yescharacteristic
175C13×#379C2211yescharacteristic
176C13×#379C2211yescharacteristic
177C13×#379C2211yescharacteristic
178C13×#379C2211yescharacteristic
179C4×C13×C4⋊C4C2211yescharacteristic, complemented
180C4×C13×C4⋊C4C2211yescharacteristic, complemented
181C4×C13×C4⋊C4C2211yescharacteristic, complemented
182C4×C13×C22⋊C4C2211yescharacteristic
183C4×C13×C22⋊C4C2211yescharacteristic
184C4×C13×C22⋊C4C2211yescharacteristic
185C4×C13×C22⋊C4C2211yescharacteristic
186C4×C13×C22⋊C4C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13—24no—
193C23×C4×C13—42no—
194C23×C4×C13—42no—
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C13×#126—42no—
203C13×#126—42no—
204C13×#125—42no—
205C13×#123—24no—
206C13×#123—42no—
207C13×#123—42no—
208C13×C22⋊Q8—24no—
209C13×C22⋊Q8—42no—
210C13×C22⋊Q8—42no—
211C13×#120—42no—
212C13×#117—42no—
213C13×#117—42no—
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×C22⋊C4C2311yescharacteristic
255C2×C13×C22⋊C4C2311yescharacteristic
256C2×C13×C22⋊C4C2311yescharacteristic
257C2×C13×C22⋊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×C13×C22⋊C4C2311yescharacteristic
293C2×C13×C22⋊C4C2311yescharacteristic
294C2×C13×C22⋊C4C2311yescharacteristic
295C2×C13×C22⋊C4C2311yescharacteristic
296C2×C13×C22⋊C4C2311yescharacteristic
297C2×C13×C22⋊C4C2311yescharacteristic
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
307C2×C42×C13C2311yescharacteristic
308C2×C42×C13C2311yescharacteristic
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#36736C1311yesmaximal, characteristic, direct product factor, Sylow
358C24×C13—22no—
359C24×C13—22no—
360C24×C13—22no—
361C24×C13—41no—
362C24×C13—41no—
363C24×C13—41no—
364C24×C13—41no—
365C24×C13C2411yescharacteristic
366C24×C13C2411yescharacteristic
367C24×C13C2411yescharacteristic
368C24×C13C2411yescharacteristic
369C2×Q8×C13—22no—
370C2×Q8×C13—41no—
371C2×Q8×C13—41no—
372C2×D4×C13—22no—
373C2×D4×C13—22no—
374C2×D4×C13—22no—
375C2×D4×C13—41no—
376C2×D4×C13—41no—
377C2×D4×C13—41no—
378C2×D4×C13—41no—
379C2×D4×C13—41no—
380C2×D4×C13—41no—
381C22×C4×C13—22no—
382C22×C4×C13—22no—
383C22×C4×C13—22no—
384C22×C4×C13—22no—
385C22×C4×C13—22no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—41no—
392C22×C4×C13—41no—
393C22×C4×C13—41no—
394C22×C4×C13—41no—
395C22×C4×C13—41no—
396C22×C4×C13—41no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13—41no—
401C22×C4×C13—416no—
402C22×C4×C13#4114yes—
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
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C22×C4×C13C2411yescharacteristic
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
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—22no—
437C13×C4⋊C4—22no—
438C13×C4⋊C4—22no—
439C13×C4⋊C4—22no—
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×C4⋊C4—41no—
467C13×C4⋊C4—41no—
468C13×C4⋊C4—41no—
469C13×C4⋊C4—41no—
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—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—22no—
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—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4—41no—
504C13×C22⋊C4—41no—
505C13×C22⋊C4—41no—
506C13×C22⋊C4—41no—
507C13×C22⋊C4—41no—
508C13×C22⋊C4—41no—
509C13×C22⋊C4—41no—
510C13×C22⋊C4—41no—
511C13×C22⋊C4—41no—
512C13×C22⋊C4—41no—
513C13×C22⋊C4—41no—
514C42×C13—41no—
515C42×C13—41no—
516C42×C13—41no—
517C42×C13—41no—
518C42×C13—41no—
519C42×C13—41no—
520C42×C13—41no—
521C42×C13—41no—
522C42×C13—41no—
523C42×C13—41no—
524C42×C13—41no—
525#2849C2×C1311yescharacteristic
526#2848C2×C1311yescharacteristic, complemented
527#2748C2×C1311yescharacteristic, complemented
528#2747C2×C1311yescharacteristic, complemented
529#2740C2×C1311yescharacteristic, complemented
530#2739C2×C1311yescharacteristic, complemented
531#2738C2×C1311yescharacteristic, complemented
532#2738C2×C1311yescharacteristic, complemented
533#2735C2×C1311yescharacteristic, complemented
534#2735C2×C1311yescharacteristic, complemented
535#2704C2×C1311yescharacteristic, complemented
536#2702C2×C1311yescharacteristic, complemented
537#2697C2×C1311yescharacteristic
538#2695C2×C1311yescharacteristic, complemented
539#2694C2×C1311yescharacteristic, complemented
540#2689C2×C1311yescharacteristic, complemented
541#2687C2×C1311yescharacteristic, complemented
542#2685C2×C1311yescharacteristic
543#2667C2×C1311yescharacteristic, complemented
544#2663C2×C1311yescharacteristic, complemented
545#2597C2×C1311yescharacteristic, complemented
546#2587C2×C1311yescharacteristic, complemented
547#2587C2×C1311yescharacteristic, complemented
548#2578C2×C1311yescharacteristic, complemented
549#2479C2×C1311yescharacteristic, complemented
550#2478C2×C1311yescharacteristic, complemented
551#2475C2×C1311yescharacteristic, complemented
552#2470C2×C1311yescharacteristic, complemented
553#2335C2×C1311yescharacteristic, complemented
554#2332C2×C1311yescharacteristic, complemented
555#2280C2×C1311yescharacteristic, complemented
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×C13—21no—
566C23×C13—21no—
567C23×C13—21no—
568C23×C13—21no—
569C23×C13—21no—
570C23×C13—21no—
571C23×C13—21no—
572C23×C13—21no—
573C23×C13—21no—
574C23×C13—21no—
575C23×C13—21no—
576C23×C13—21no—
577C23×C13—21no—
578C23×C13—21no—
579C23×C13—21no—
580C23×C13—21no—
581C23×C13—44no—
582C23×C13—44no—
583C23×C13—44no—
584C23×C13—44no—
585C23×C13—44no—
586C23×C13—44no—
587C23×C13—44no—
588C23×C13C2×#4112yes—
589C23×C13H(5,𝔽2)12yes—
590C23×C132−1+412yes—
591C23×C13C2511yescharacteristic
592Q8×C13—82no—
593D4×C13—82no—
594D4×C13—82no—
595D4×C13—82no—
596C2×C4×C13—28no—
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—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—44no—
676C2×C4×C13—44no—
677C2×C4×C13—44no—
678C2×C4×C13—44no—
679C2×C4×C13—44no—
680C2×C4×C13—82no—
681C2×C4×C13C2×#4112yes—
682C2×C4×C13C2×#4112yes—
683C2×C4×C13H(5,𝔽2)12yes—
684C24×C4C22×C1311yescharacteristic
685C2×#126C22×C1311yescharacteristic
686C2×#126C22×C1311yescharacteristic, complemented
687C2×#125C22×C1311yescharacteristic, complemented
688C2×#123C22×C1311yescharacteristic
689C2×#123C22×C1311yescharacteristic
690C2×#123C22×C1311yescharacteristic
691C2×C22⋊Q8C22×C1311yescharacteristic
692C2×C22⋊Q8C22×C1311yescharacteristic
693C2×C22⋊Q8C22×C1311yescharacteristic
694C2×#120C22×C1311yescharacteristic
695C2×#117C22×C1311yescharacteristic
696C2×#117C22×C1311yescharacteristic
697#400C22×C1311yescharacteristic, complemented
698#400C22×C1311yescharacteristic, complemented
699#400C22×C1311yescharacteristic, complemented
700#400C22×C1311yescharacteristic, complemented
701#400C22×C1311yescharacteristic, complemented
702#400C22×C1311yescharacteristic, complemented
703#400C22×C1311yescharacteristic, complemented
704#399C22×C1311yescharacteristic
705#399C22×C1311yescharacteristic
706#399C22×C1311yescharacteristic
707#399C22×C1311yescharacteristic, complemented
708#399C22×C1311yescharacteristic, complemented
709#398C22×C1311yescharacteristic, complemented
710#398C22×C1311yescharacteristic, complemented
711#398C22×C1311yescharacteristic, complemented
712#398C22×C1311yescharacteristic, complemented
713#398C22×C1311yescharacteristic, complemented
714#398C22×C1311yescharacteristic, complemented
715#398C22×C1311yescharacteristic, complemented
716#398C22×C1311yescharacteristic, complemented
717#398C22×C1311yescharacteristic, complemented
718#398C22×C1311yescharacteristic, complemented
719#397C22×C1311yescharacteristic
720#397C22×C1311yescharacteristic
721#397C22×C1311yescharacteristic
722#397C22×C1311yescharacteristic
723#397C22×C1311yescharacteristic
724#397C22×C1311yescharacteristic
725#397C22×C1311yescharacteristic
726#397C22×C1311yescharacteristic
727#397C22×C1311yescharacteristic, complemented
728#397C22×C1311yescharacteristic, complemented
729#396C22×C1311yescharacteristic
730#396C22×C1311yescharacteristic
731#396C22×C1311yescharacteristic
732#396C22×C1311yescharacteristic
733#396C22×C1311yescharacteristic
734#396C22×C1311yescharacteristic
735#396C22×C1311yescharacteristic
736#396C22×C1311yescharacteristic, complemented
737#395C22×C1311yescharacteristic, complemented
738#394C22×C1311yescharacteristic
739#394C22×C1311yescharacteristic
740#394C22×C1311yescharacteristic
741#394C22×C1311yescharacteristic
742#394C22×C1311yescharacteristic
743#394C22×C1311yescharacteristic
744#393C22×C1311yescharacteristic, complemented
745#391C22×C1311yescharacteristic, complemented
746#391C22×C1311yescharacteristic, complemented
747#390C22×C1311yescharacteristic
748#390C22×C1311yescharacteristic
749#390C22×C1311yescharacteristic
750#389C22×C1311yescharacteristic, complemented
751#389C22×C1311yescharacteristic, complemented
752#389C22×C1311yescharacteristic, complemented
753#389C22×C1311yescharacteristic, complemented
754#389C22×C1311yescharacteristic, complemented
755#389C22×C1311yescharacteristic, complemented
756#389C22×C1311yescharacteristic, complemented
757#389C22×C1311yescharacteristic, complemented
758#389C22×C1311yescharacteristic, complemented
759#388C22×C1311yescharacteristic
760#388C22×C1311yescharacteristic
761#388C22×C1311yescharacteristic
762#388C22×C1311yescharacteristic
763#388C22×C1311yescharacteristic
764#388C22×C1311yescharacteristic
765#388C22×C1311yescharacteristic
766#388C22×C1311yescharacteristic
767#388C22×C1311yescharacteristic
768#388C22×C1311yescharacteristic
769#388C22×C1311yescharacteristic
770#388C22×C1311yescharacteristic
771#388C22×C1311yescharacteristic
772#388C22×C1311yescharacteristic
773#388C22×C1311yescharacteristic
774#388C22×C1311yescharacteristic
775#388C22×C1311yescharacteristic
776#388C22×C1311yescharacteristic, complemented
777#388C22×C1311yescharacteristic, complemented
778#388C22×C1311yescharacteristic, complemented
779#388C22×C1311yescharacteristic, complemented
780#388C22×C1311yescharacteristic, complemented
781#387C22×C1311yescharacteristic, complemented
782#387C22×C1311yescharacteristic, complemented
783#387C22×C1311yescharacteristic, complemented
784#387C22×C1311yescharacteristic, complemented
785#387C22×C1311yescharacteristic, complemented
786#387C22×C1311yescharacteristic, complemented
787#387C22×C1311yescharacteristic, complemented
788#387C22×C1311yescharacteristic, complemented
789#387C22×C1311yescharacteristic, complemented
790#387C22×C1311yescharacteristic, complemented
791#387C22×C1311yescharacteristic, complemented
792#387C22×C1311yescharacteristic, complemented
793#387C22×C1311yescharacteristic, complemented
794#387C22×C1311yescharacteristic, complemented
795#386C22×C1311yescharacteristic
796#386C22×C1311yescharacteristic
797#386C22×C1311yescharacteristic
798#386C22×C1311yescharacteristic
799#386C22×C1311yescharacteristic
800#386C22×C1311yescharacteristic
801#385C22×C1311yescharacteristic
802#385C22×C1311yescharacteristic
803#385C22×C1311yescharacteristic
804#385C22×C1311yescharacteristic
805#385C22×C1311yescharacteristic
806#385C22×C1311yescharacteristic
807#385C22×C1311yescharacteristic
808#385C22×C1311yescharacteristic
809#385C22×C1311yescharacteristic
810#385C22×C1311yescharacteristic
811#385C22×C1311yescharacteristic, complemented
812#385C22×C1311yescharacteristic, complemented
813#383C22×C1311yescharacteristic, complemented
814#381C22×C1311yescharacteristic
815#381C22×C1311yescharacteristic
816#381C22×C1311yescharacteristic
817#381C22×C1311yescharacteristic
818#380C22×C1311yescharacteristic
819#380C22×C1311yescharacteristic
820#380C22×C1311yescharacteristic
821#380C22×C1311yescharacteristic
822#380C22×C1311yescharacteristic
823#380C22×C1311yescharacteristic
824#380C22×C1311yescharacteristic
825#380C22×C1311yescharacteristic, complemented
826#379C22×C1311yescharacteristic
827#379C22×C1311yescharacteristic
828#379C22×C1311yescharacteristic
829#379C22×C1311yescharacteristic
830#379C22×C1311yescharacteristic
831C4×C4⋊C4C22×C1311yescharacteristic, complemented
832C4×C4⋊C4C22×C1311yescharacteristic, complemented
833C4×C4⋊C4C22×C1311yescharacteristic, complemented
834C4×C22⋊C4C22×C1311yescharacteristic
835C4×C22⋊C4C22×C1311yescharacteristic
836C4×C22⋊C4C22×C1311yescharacteristic
837C4×C22⋊C4C22×C1311yescharacteristic
838C4×C22⋊C4C22×C1311yescharacteristic, complemented
839C22×C13—22no—
840C22×C13—22no—
841C22×C13—22no—
842C22×C13—22no—
843C22×C13—22no—
844C22×C13—22no—
845C22×C13—22no—
846C22×C13—22no—
847C22×C13—22no—
848C22×C13—416no—
849C22×C13—41no—
850C22×C13—41no—
851C22×C13—41no—
852C22×C13—41no—
853C22×C13—41no—
854C22×C13—41no—
855C22×C13—41no—
856C22×C13—41no—
857C22×C13—41no—
858C22×C13—41no—
859C22×C13—41no—
860C22×C13—41no—
861C22×C13—41no—
862C22×C13—41no—
863C22×C13—41no—
864C22×C13—41no—
865C22×C13—41no—
866C22×C13—41no—
867C22×C13—41no—
868C22×C13C22×#4111yescharacteristic
869C22×C13C2×H(5,𝔽2)11yescharacteristic
870C22×C13C2×H(5,𝔽2)11yescharacteristic
871C22×C13C2×2−1+411yescharacteristic
872C22×C13#58511yescharacteristic
873C22×C13#58511yescharacteristic
874C22×C13#58511yescharacteristic
875C4×C13—22no—
876C4×C13—22no—
877C4×C13—22no—
878C4×C13—41no—
879C4×C13—41no—
880C4×C13—41no—
881C4×C13—41no—
882C4×C13—41no—
883C4×C13—41no—
884C4×C13—41no—
885C4×C13—41no—
886C4×C13—41no—
887C4×C13—41no—
888C4×C13—41no—
889C4×C13—41no—
890C4×C13—41no—
891C4×C13—41no—
892C4×C13—41no—
893C4×C13—41no—
894C4×C13—41no—
895C4×C13—41no—
896C4×C13—41no—
897C4×C13—41no—
898C4×C13—41no—
899C4×C13—41no—
900C4×C13—41no—
901C4×C13—41no—
902C25C23×C1311yescharacteristic
903C22×Q8C23×C1311yescharacteristic
904C22×D4C23×C1311yescharacteristic
905C22×D4C23×C1311yescharacteristic
906C22×D4C23×C1311yescharacteristic
907C23×C4—24no—
908C23×C4—42no—
909C23×C4—42no—
910C23×C4C23×C1311yescharacteristic
911C23×C4C23×C1311yescharacteristic
912C23×C4C23×C1311yescharacteristic
913C23×C4C23×C1311yescharacteristic
914C23×C4C23×C1311yescharacteristic
915C23×C4C23×C1311yescharacteristic
916C23×C4C23×C1311yescharacteristic
917#126—42no—
918#126—42no—
919#125—42no—
920#123—24no—
921#123—42no—
922#123—42no—
923C22⋊Q8—24no—
924C22⋊Q8—42no—
925C22⋊Q8—42no—
926#120—42no—
927#117—42no—
928#117—42no—
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×C4⋊C4C23×C1311yescharacteristic
944C2×C4⋊C4C23×C1311yescharacteristic
945C2×C4⋊C4C23×C1311yescharacteristic
946C2×C4⋊C4C23×C1311yescharacteristic
947C2×C4⋊C4C23×C1311yescharacteristic
948C2×C4⋊C4C23×C1311yescharacteristic
949C2×C4⋊C4C23×C1311yescharacteristic
950C2×C4⋊C4C23×C1311yescharacteristic
951C2×C4⋊C4C23×C1311yescharacteristic
952C2×C4⋊C4C23×C1311yescharacteristic
953C2×C4⋊C4C23×C1311yescharacteristic
954C2×C4⋊C4C23×C1311yescharacteristic
955C2×C4⋊C4C23×C1311yescharacteristic
956C2×C4⋊C4C23×C1311yescharacteristic
957C2×C4⋊C4C23×C1311yescharacteristic
958C2×C4⋊C4C23×C1311yescharacteristic
959C2×C4⋊C4C23×C1311yescharacteristic
960C2×C4⋊C4C23×C1311yescharacteristic
961C2×C4⋊C4C23×C1311yescharacteristic
962C2×C4⋊C4C23×C1311yescharacteristic
963C2×C4⋊C4C23×C1311yescharacteristic
964C2×C4⋊C4C23×C1311yescharacteristic
965C2×C4⋊C4C23×C1311yescharacteristic
966C2×C4⋊C4C23×C1311yescharacteristic
967C2×C4⋊C4C23×C1311yescharacteristic
968C2×C4⋊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×C22⋊C4C23×C1311yescharacteristic
978C2×C22⋊C4C23×C1311yescharacteristic
979C2×C22⋊C4C23×C1311yescharacteristic
980C2×C22⋊C4C23×C1311yescharacteristic
981C2×C22⋊C4C23×C1311yescharacteristic
982C2×C22⋊C4C23×C1311yescharacteristic
983C2×C22⋊C4C23×C1311yescharacteristic
984C2×C22⋊C4C23×C1311yescharacteristic
985C2×C22⋊C4C23×C1311yescharacteristic
986C2×C22⋊C4C23×C1311yescharacteristic
987C2×C22⋊C4C23×C1311yescharacteristic
988C2×C22⋊C4C23×C1311yescharacteristic
989C2×C22⋊C4C23×C1311yescharacteristic
990C2×C22⋊C4C23×C1311yescharacteristic
991C2×C22⋊C4C23×C1311yescharacteristic
992C2×C22⋊C4C23×C1311yescharacteristic
993C2×C22⋊C4C23×C1311yescharacteristic
994C2×C22⋊C4C23×C1311yescharacteristic
995C2×C22⋊C4C23×C1311yescharacteristic
996C2×C22⋊C4C23×C1311yescharacteristic
997C2×C22⋊C4C23×C1311yescharacteristic
998C2×C22⋊C4C23×C1311yescharacteristic
999C2×C22⋊C4C23×C1311yescharacteristic
1000C2×C22⋊C4C23×C1311yescharacteristic
1001C2×C22⋊C4C23×C1311yescharacteristic
1002C2×C22⋊C4C23×C1311yescharacteristic
1003C2×C22⋊C4C23×C1311yescharacteristic
1004C2×C22⋊C4C23×C1311yescharacteristic
1005C2×C22⋊C4C23×C1311yescharacteristic
1006C2×C22⋊C4C23×C1311yescharacteristic
1007C2×C22⋊C4C23×C1311yescharacteristic
1008C2×C22⋊C4C23×C1311yescharacteristic
1009C2×C22⋊C4C23×C1311yescharacteristic
1010C2×C22⋊C4C23×C1311yescharacteristic
1011C2×C22⋊C4C23×C1311yescharacteristic
1012C2×C22⋊C4C23×C1311yescharacteristic
1013C2×C42C23×C1311yescharacteristic
1014C2×C42C23×C1311yescharacteristic
1015C2×C42C23×C1311yescharacteristic
1016C2×C42C23×C1311yescharacteristic
1017C2×C42C23×C1311yescharacteristic
1018C2×C42C23×C1311yescharacteristic
1019C2×C42C23×C1311yescharacteristic
1020C2×C42C23×C1311yescharacteristic
1021C2×C42C23×C1311yescharacteristic
1022C2×C42C23×C1311yescharacteristic
1023C2×C42C23×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
1042#95C23×C1311yescharacteristic
1043#95C23×C1311yescharacteristic
1044#95C23×C1311yescharacteristic
1045#95C23×C1311yescharacteristic
1046#95C23×C1311yescharacteristic
1047#95C23×C1311yescharacteristic
1048#95C23×C1311yescharacteristic
1049#95C23×C1311yescharacteristic
1050#95C23×C1311yescharacteristic
1051#95C23×C1311yescharacteristic
1052#95C23×C1311yescharacteristic
1053#95C23×C1311yescharacteristic
1054#95C23×C1311yescharacteristic
1055#95C23×C1311yescharacteristic
1056#95C23×C1311yescharacteristic
1057#95C23×C1311yescharacteristic
1058#95C23×C1311yescharacteristic
1059#95C23×C1311yescharacteristic
1060#95C23×C1311yescharacteristic
1061#95C23×C1311yescharacteristic
1062#95C23×C1311yescharacteristic
1063#95C23×C1311yescharacteristic
1064#95C23×C1311yescharacteristic
1065#95C23×C1311yescharacteristic
1066#95C23×C1311yescharacteristic
1067#95C23×C1311yescharacteristic
1068#95C23×C1311yescharacteristic
1069#95C23×C1311yescharacteristic
1070#95C23×C1311yescharacteristic
1071#95C23×C1311yescharacteristic
1072C2×C13—42no—
1073C2×C13—42no—
1074C2×C13—42no—
1075C2×C13—81no—
1076C2×C13#345511yescharacteristic
1077C2×C13#349011yescharacteristic
1078C2×C13#349511yescharacteristic
1079C2×C13#353311yescharacteristic
1080C2×C13#353511yescharacteristic
1081C2×C13#353911yescharacteristic
1082C2×C13#354111yescharacteristic
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24C24×C1311yescharacteristic
1091C24C24×C1311yescharacteristic
1092C24C24×C1311yescharacteristic
1093C24C24×C1311yescharacteristic
1094C2×Q8—22no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—416no—
1127C22×C4C13×#4114yes—
1128C22×C4C24×C1311yescharacteristic
1129C22×C4C24×C1311yescharacteristic
1130C22×C4C24×C1311yescharacteristic
1131C22×C4C24×C1311yescharacteristic
1132C22×C4C24×C1311yescharacteristic
1133C22×C4C24×C1311yescharacteristic
1134C22×C4C24×C1311yescharacteristic
1135C22×C4C24×C1311yescharacteristic
1136C22×C4C24×C1311yescharacteristic
1137C22×C4C24×C1311yescharacteristic
1138C22×C4C24×C1311yescharacteristic
1139C22×C4C24×C1311yescharacteristic
1140C22×C4C24×C1311yescharacteristic
1141C22×C4C24×C1311yescharacteristic
1142C22×C4C24×C1311yescharacteristic
1143C22×C4C24×C1311yescharacteristic
1144C22×C4C24×C1311yescharacteristic
1145C22×C4C24×C1311yescharacteristic
1146C22×C4C24×C1311yescharacteristic
1147C22×C4C24×C1311yescharacteristic
1148C22×C4C24×C1311yescharacteristic
1149C22×C4C24×C1311yescharacteristic
1150C22×C4C24×C1311yescharacteristic
1151C22×C4C24×C1311yescharacteristic
1152C22×C4C24×C1311yescharacteristic
1153C22×C4C24×C1311yescharacteristic
1154C22×C4C24×C1311yescharacteristic
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C13#3673611yescharacteristic, direct product factor, Sylow
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23C2×C13×#4112yes—
1284C23C13×H(5,𝔽2)12yes—
1285C23C13×2−1+412yes—
1286C23C25×C1311yescharacteristic
1287Q8—82no—
1288D4—82no—
1289D4—82no—
1290D4—82no—
1291C2×C4—28no—
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—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—44no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—82no—
1376C2×C4C2×C13×#4112yes—
1377C2×C4C2×C13×#4112yes—
1378C2×C4C13×H(5,𝔽2)12yes—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—416no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22C22×C13×#4111yescharacteristic
1409C22C2×C13×H(5,𝔽2)11yescharacteristic
1410C22C2×C13×H(5,𝔽2)11yescharacteristic
1411C22C2×C13×2−1+411yescharacteristic
1412C22C13×#58511yescharacteristic
1413C22C13×#58511yescharacteristic
1414C22C13×#58511yescharacteristic
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C2—42no—
1443C2—42no—
1444C2—42no—
1445C2—81no—
1446C2C13×#345511yescharacteristic
1447C2C13×#349011yescharacteristic
1448C2C13×#349511yescharacteristic
1449C2C13×#353311yescharacteristic
1450C2C13×#353511yescharacteristic
1451C2C13×#353911yescharacteristic
1452C2C13×#354111yescharacteristic
subgroupG/H
center, socleC23×C13C25
commutator, Frattini, cosocleC23C25×C13
prime radicalC2×C13×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C13×#2848C2semidirect
3. C13×#2748C2semidirect
4. C13×#2747C2semidirect
5. C13×#2740C2semidirect
6. C13×#2739C2semidirect
7. C13×#2738C2semidirect
8. C13×#2738C2semidirect
9. C13×#2735C2semidirect
10. C13×#2735C2semidirect
11. C13×#2704C2semidirect
12. C13×#2702C2semidirect
14. C13×#2695C2semidirect
15. C13×#2694C2semidirect
16. C13×#2689C2semidirect
17. C13×#2687C2semidirect
19. C13×#2667C2semidirect
20. C13×#2663C2semidirect
21. C13×#2597C2semidirect
22. C13×#2587C2semidirect
23. C13×#2587C2semidirect
24. C13×#2578C2semidirect
25. C13×#2479C2semidirect
26. C13×#2478C2semidirect
27. C13×#2475C2semidirect
28. C13×#2470C2semidirect
29. C13×#2335C2semidirect
30. C13×#2332C2semidirect
31. C13×#2280C2semidirect
34. C2×C13×#126C22semidirect
35. C2×C13×#125C22semidirect
45. C13×#400C22semidirect
46. C13×#400C22semidirect
47. C13×#400C22semidirect
48. C13×#400C22semidirect
49. C13×#400C22semidirect
50. C13×#400C22semidirect
51. C13×#400C22semidirect
55. C13×#399C22semidirect
56. C13×#399C22semidirect
57. C13×#398C22semidirect
58. C13×#398C22semidirect
59. C13×#398C22semidirect
60. C13×#398C22semidirect
61. C13×#398C22semidirect
62. C13×#398C22semidirect
63. C13×#398C22semidirect
64. C13×#398C22semidirect
65. C13×#398C22semidirect
66. C13×#398C22semidirect
75. C13×#397C22semidirect
76. C13×#397C22semidirect
84. C13×#396C22semidirect
85. C13×#395C22semidirect
92. C13×#393C22semidirect
93. C13×#391C22semidirect
94. C13×#391C22semidirect
98. C13×#389C22semidirect
99. C13×#389C22semidirect
100. C13×#389C22semidirect
101. C13×#389C22semidirect
102. C13×#389C22semidirect
103. C13×#389C22semidirect
104. C13×#389C22semidirect
105. C13×#389C22semidirect
106. C13×#389C22semidirect
124. C13×#388C22semidirect
125. C13×#388C22semidirect
126. C13×#388C22semidirect
127. C13×#388C22semidirect
128. C13×#388C22semidirect
129. C13×#387C22semidirect
130. C13×#387C22semidirect
131. C13×#387C22semidirect
132. C13×#387C22semidirect
133. C13×#387C22semidirect
134. C13×#387C22semidirect
135. C13×#387C22semidirect
136. C13×#387C22semidirect
137. C13×#387C22semidirect
138. C13×#387C22semidirect
139. C13×#387C22semidirect
140. C13×#387C22semidirect
141. C13×#387C22semidirect
142. C13×#387C22semidirect
159. C13×#385C22semidirect
160. C13×#385C22semidirect
161. C13×#383C22semidirect
173. C13×#380C22semidirect
179. C4×C13×C4⋊C4C22semidirect
180. C4×C13×C4⋊C4C22semidirect
181. C4×C13×C4⋊C4C22semidirect
186. C4×C13×C22⋊C4C22semidirect
357. #36736C13direct (N × H)
526. #2848C2×C13semidirect
527. #2748C2×C13semidirect
528. #2747C2×C13semidirect
529. #2740C2×C13semidirect
530. #2739C2×C13semidirect
531. #2738C2×C13semidirect
532. #2738C2×C13semidirect
533. #2735C2×C13semidirect
534. #2735C2×C13semidirect
535. #2704C2×C13semidirect
536. #2702C2×C13semidirect
538. #2695C2×C13semidirect
539. #2694C2×C13semidirect
540. #2689C2×C13semidirect
541. #2687C2×C13semidirect
543. #2667C2×C13semidirect
544. #2663C2×C13semidirect
545. #2597C2×C13semidirect
546. #2587C2×C13semidirect
547. #2587C2×C13semidirect
548. #2578C2×C13semidirect
549. #2479C2×C13semidirect
550. #2478C2×C13semidirect
551. #2475C2×C13semidirect
552. #2470C2×C13semidirect
553. #2335C2×C13semidirect
554. #2332C2×C13semidirect
555. #2280C2×C13semidirect
686. C2×#126C22×C13semidirect
687. C2×#125C22×C13semidirect
697. #400C22×C13semidirect
698. #400C22×C13semidirect
699. #400C22×C13semidirect
700. #400C22×C13semidirect
701. #400C22×C13semidirect
702. #400C22×C13semidirect
703. #400C22×C13semidirect
707. #399C22×C13semidirect
708. #399C22×C13semidirect
709. #398C22×C13semidirect
710. #398C22×C13semidirect
711. #398C22×C13semidirect
712. #398C22×C13semidirect
713. #398C22×C13semidirect
714. #398C22×C13semidirect
715. #398C22×C13semidirect
716. #398C22×C13semidirect
717. #398C22×C13semidirect
718. #398C22×C13semidirect
727. #397C22×C13semidirect
728. #397C22×C13semidirect
736. #396C22×C13semidirect
737. #395C22×C13semidirect
744. #393C22×C13semidirect
745. #391C22×C13semidirect
746. #391C22×C13semidirect
750. #389C22×C13semidirect
751. #389C22×C13semidirect
752. #389C22×C13semidirect
753. #389C22×C13semidirect
754. #389C22×C13semidirect
755. #389C22×C13semidirect
756. #389C22×C13semidirect
757. #389C22×C13semidirect
758. #389C22×C13semidirect
776. #388C22×C13semidirect
777. #388C22×C13semidirect
778. #388C22×C13semidirect
779. #388C22×C13semidirect
780. #388C22×C13semidirect
781. #387C22×C13semidirect
782. #387C22×C13semidirect
783. #387C22×C13semidirect
784. #387C22×C13semidirect
785. #387C22×C13semidirect
786. #387C22×C13semidirect
787. #387C22×C13semidirect
788. #387C22×C13semidirect
789. #387C22×C13semidirect
790. #387C22×C13semidirect
791. #387C22×C13semidirect
792. #387C22×C13semidirect
793. #387C22×C13semidirect
794. #387C22×C13semidirect
811. #385C22×C13semidirect
812. #385C22×C13semidirect
813. #383C22×C13semidirect
825. #380C22×C13semidirect
831. C4×C4⋊C4C22×C13semidirect
832. C4×C4⋊C4C22×C13semidirect
833. C4×C4⋊C4C22×C13semidirect
838. C4×C22⋊C4C22×C13semidirect
1250. C13#36736direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#28492
C13×#28482
C13×#27482
C13×#27472
C13×#27402
C13×#27392
C13×#27382
C13×#27352
C13×#27042
C13×#27022
C13×#26972
C13×#26952
C13×#26942
C13×#26892
C13×#26872
C13×#26852
C13×#26672
C13×#26632
C13×#25972
C13×#25872
C13×#25782
C13×#24792
C13×#24782
C13×#24752
C13×#24702
C13×#23352
C13×#23322
C13×#22802
#3673613