Finite Group Databasebeta

← C13×#36781 #15723120

Subgroups — C13×#36781 #15723120

Order 3328.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#2852C211yesmaximal, characteristic, complemented
2C13×#2850C211yesmaximal, characteristic, complemented
3C13×#2795C211yesmaximal, characteristic, complemented
4C13×#2793C211yesmaximal, characteristic, complemented
5C13×#2779C211yesmaximal, characteristic, complemented
6C13×#2767C211yesmaximal, characteristic, complemented
7C13×#2765C211yesmaximal, characteristic, complemented
8C13×#2761C211yesmaximal, characteristic, complemented
9C13×#2758C211yesmaximal, characteristic, complemented
10C13×#2757C211yesmaximal, characteristic, complemented
11C13×#2747C211yesmaximal, characteristic, complemented
12C13×#2745C211yesmaximal, characteristic, complemented
13C13×#2739C211yesmaximal, characteristic, complemented
14C13×#2737C211yesmaximal, characteristic, complemented
15C13×#2731C211yesmaximal, characteristic, complemented
16C13×#2716C211yesmaximal, characteristic, complemented
17C13×#2691C211yesmaximal, characteristic, complemented
18C13×#2686C211yesmaximal, characteristic, complemented
19C13×#2643C211yesmaximal, characteristic, complemented
20C13×#2639C211yesmaximal, characteristic, complemented
21C13×#2591C211yesmaximal, characteristic, complemented
22C13×#2579C211yesmaximal, characteristic, complemented
23C13×#2450C211yesmaximal, characteristic, complemented
24C13×#2450C211yesmaximal, characteristic, complemented
25C13×#2444C211yesmaximal, characteristic, complemented
26C13×#2444C211yesmaximal, characteristic, complemented
27C13×#2440C211yesmaximal, characteristic, complemented
28C13×#2416C211yesmaximal, characteristic
29C13×#2325C211yesmaximal, characteristic, complemented
30C13×#2318C211yesmaximal, characteristic, complemented
31C2×C13×#387C211yesmaximal, characteristic, complemented
32C2×C13×C4⋊Q8C2211yescharacteristic
33C2×C13×#126C2211yescharacteristic
34C2×C13×#124C2211yescharacteristic
35C2×C13×C22⋊Q8C2211yescharacteristic
36C2×C13×C22⋊Q8C2211yescharacteristic
37C2×C13×#121C2211yescharacteristic
38C2×C13×#121C2211yescharacteristic
39C2×C13×#121C2211yescharacteristic
40C2×C13×#121C2211yescharacteristic
41C2×C4×D4×C13C2211yescharacteristic
42C2×C4×D4×C13C2211yescharacteristic
43C2×C4×D4×C13C2211yescharacteristic
44C22×C13×C4⋊C4C2211yescharacteristic
45C22×C13×C4⋊C4C2211yescharacteristic
46C22×C42×C13C2211yescharacteristic
47C13×#401C2211yescharacteristic
48C13×#400C2211yescharacteristic
49C13×#400C2211yescharacteristic
50C13×#400C2211yescharacteristic
51C13×#400C2211yescharacteristic
52C13×#400C2211yescharacteristic
53C13×#400C2211yescharacteristic
54C13×#400C2211yescharacteristic
55C13×#400C2211yescharacteristic
56C13×#400C2211yescharacteristic
57C13×#400C2211yescharacteristic
58C13×#400C2211yescharacteristic
59C13×#398C2211yescharacteristic
60C13×#398C2211yescharacteristic
61C13×#398C2211yescharacteristic
62C13×#398C2211yescharacteristic
63C13×#398C2211yescharacteristic
64C13×#398C2211yescharacteristic
65C13×#397C2211yescharacteristic
66C13×#397C2211yescharacteristic
67C13×#397C2211yescharacteristic
68C13×#397C2211yescharacteristic
69C13×#397C2211yescharacteristic
70C13×#397C2211yescharacteristic
71C13×#397C2211yescharacteristic
72C13×#397C2211yescharacteristic
73C13×#397C2211yescharacteristic
74C13×#396C2211yescharacteristic
75C13×#396C2211yescharacteristic
76C13×#396C2211yescharacteristic
77C13×#396C2211yescharacteristic
78C13×#396C2211yescharacteristic
79C13×#396C2211yescharacteristic
80C13×#396C2211yescharacteristic
81C13×#395C2211yescharacteristic
82C13×#395C2211yescharacteristic
83C13×#394C2211yescharacteristic
84C13×#394C2211yescharacteristic
85C13×#394C2211yescharacteristic
86C13×#394C2211yescharacteristic
87C13×#394C2211yescharacteristic
88C13×#394C2211yescharacteristic
89C13×#394C2211yescharacteristic
90C13×#394C2211yescharacteristic
91C13×#393C2211yescharacteristic
92C13×#393C2211yescharacteristic
93C13×#393C2211yescharacteristic
94C13×#393C2211yescharacteristic
95C13×#391C2211yescharacteristic
96C13×#391C2211yescharacteristic
97C13×#391C2211yescharacteristic
98C13×#390C2211yescharacteristic
99C13×#390C2211yescharacteristic
100C13×#389C2211yescharacteristic
101C13×#389C2211yescharacteristic
102C13×#389C2211yescharacteristic
103C13×#388C2211yescharacteristic
104C13×#388C2211yescharacteristic
105C13×#388C2211yescharacteristic
106C13×#388C2211yescharacteristic
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×#387C2211yescharacteristic
121C13×#387C2211yescharacteristic
122C13×#387C2211yescharacteristic
123C13×#387C2211yescharacteristic
124C13×#387C2211yescharacteristic
125C13×#387C2211yescharacteristic
126C13×#387C2211yescharacteristic
127C13×#387C2211yescharacteristic
128C13×#387C2211yescharacteristic
129C13×#387C2211yescharacteristic
130C13×#387C2211yescharacteristic
131C13×#387C2211yescharacteristic
132C13×#387C2211yescharacteristic
133C13×#387C2211yescharacteristic
134C13×#387C2211yescharacteristic
135C13×#387C2211yescharacteristic
136C13×#387C2211yescharacteristic
137C13×#387C2211yescharacteristic
138C13×#387C2211yescharacteristic
139C13×#387C2211yescharacteristic
140C13×#387C2211yescharacteristic
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
155C13×#386C2211yescharacteristic
156C13×#386C2211yescharacteristic
157C13×#385C2211yescharacteristic
158C13×#385C2211yescharacteristic
159C13×#385C2211yescharacteristic
160C13×#385C2211yescharacteristic
161C13×#385C2211yescharacteristic
162C13×#385C2211yescharacteristic
163C13×#385C2211yescharacteristic
164C13×#385C2211yescharacteristic
165C13×#385C2211yescharacteristic
166C13×#385C2211yescharacteristic
167C13×#385C2211yescharacteristic
168C13×#385C2211yescharacteristic
169C13×#384C2211yescharacteristic
170C13×#383C2211yescharacteristic
171C13×#383C2211yescharacteristic
172C13×#382C2211yescharacteristic
173C13×#382C2211yescharacteristic
174C13×#381C2211yescharacteristic
175C13×#381C2211yescharacteristic
176C13×#381C2211yescharacteristic
177C13×#380C2211yescharacteristic
178C13×#380C2211yescharacteristic
179C13×#380C2211yescharacteristic
180C13×#380C2211yescharacteristic
181C13×#380C2211yescharacteristic
182C4×C13×C22⋊C4C2211yescharacteristic
183C2×C13×#95C2211yescharacteristic
184C2×C13×#95C2211yescharacteristic
185C2×C13×#95C2211yescharacteristic
186C2×C13×#95C2211yescharacteristic
187C22×Q8×C13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C22×D4×C13C2311yescharacteristic
193C22×D4×C13C2311yescharacteristic
194C22×D4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C23×C4×C13C2311yescharacteristic
202C23×C4×C13C2311yescharacteristic
203C23×C4×C13C2311yescharacteristic
204C23×C4×C13C2311yescharacteristic
205C13×C4⋊Q8—42no—
206C13×#126—42no—
207C13×#124—42no—
208C13×C22⋊Q8—42no—
209C13×C22⋊Q8—42no—
210C13×#121—24no—
211C13×#121—42no—
212C13×#121—42no—
213C13×#121—42no—
214C4×D4×C13—24no—
215C4×D4×C13—42no—
216C4×D4×C13—42no—
217C2×C13×C4⋊C4—24no—
218C2×C13×C4⋊C4—42no—
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×C22⋊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×C42×C13—42no—
292C2×C42×C13C2311yescharacteristic
293C2×C42×C13C2311yescharacteristic
294C2×C42×C13C2311yescharacteristic
295C2×C42×C13C2311yescharacteristic
296C2×C42×C13C2311yescharacteristic
297C2×C42×C13C2311yescharacteristic
298C2×C42×C13C2311yescharacteristic
299C2×C42×C13C2311yescharacteristic
300C2×C42×C13C2311yescharacteristic
301C13×#95C2311yescharacteristic
302C13×#95C2311yescharacteristic
303C13×#95C2311yescharacteristic
304C13×#95C2311yescharacteristic
305C13×#95C2311yescharacteristic
306C13×#95C2311yescharacteristic
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#36781C1311yesmaximal, characteristic, direct product factor, Sylow
358C24×C13C2411yescharacteristic
359C24×C13C2411yescharacteristic
360C24×C13C2411yescharacteristic
361C24×C13C2411yescharacteristic
362C2×Q8×C13—22no—
363C2×Q8×C13—41no—
364C2×Q8×C13—41no—
365C2×Q8×C13—41no—
366C2×Q8×C13—41no—
367C2×Q8×C13—41no—
368C2×D4×C13—22no—
369C2×D4×C13—22no—
370C2×D4×C13—22no—
371C2×D4×C13—22no—
372C2×D4×C13—22no—
373C2×D4×C13—22no—
374C2×D4×C13—22no—
375C2×D4×C13—22no—
376C2×D4×C13—22no—
377C2×D4×C13—22no—
378C2×D4×C13—22no—
379C2×D4×C13—41no—
380C2×D4×C13—41no—
381C2×D4×C13—41no—
382C2×D4×C13—41no—
383C2×D4×C13—41no—
384C2×D4×C13—41no—
385C2×D4×C13—41no—
386C22×C4×C13—22no—
387C22×C4×C13—22no—
388C22×C4×C13—22no—
389C22×C4×C13—22no—
390C22×C4×C13—22no—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
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—41no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
412C22×C4×C13—41no—
413C22×C4×C13—41no—
414C22×C4×C13—41no—
415C22×C4×C13#4114yes—
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
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C13×C4⋊C4—22no—
444C13×C4⋊C4—22no—
445C13×C4⋊C4—22no—
446C13×C4⋊C4—22no—
447C13×C4⋊C4—22no—
448C13×C4⋊C4—22no—
449C13×C4⋊C4—22no—
450C13×C4⋊C4—22no—
451C13×C4⋊C4—22no—
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×C4⋊C4—41no—
471C13×C4⋊C4—41no—
472C13×C4⋊C4—41no—
473C13×C4⋊C4—41no—
474C13×C4⋊C4—41no—
475C13×C4⋊C4—41no—
476C13×C4⋊C4—41no—
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—22no—
485C13×C22⋊C4—22no—
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—
514C13×C22⋊C4—41no—
515C42×C13—22no—
516C42×C13—22no—
517C42×C13—22no—
518C42×C13—41no—
519C42×C13—41no—
520C42×C13—41no—
521C42×C13—41no—
522C42×C13—41no—
523C42×C13—41no—
524#2852C2×C1311yescharacteristic, complemented
525#2850C2×C1311yescharacteristic, complemented
526#2795C2×C1311yescharacteristic, complemented
527#2793C2×C1311yescharacteristic, complemented
528#2779C2×C1311yescharacteristic, complemented
529#2767C2×C1311yescharacteristic, complemented
530#2765C2×C1311yescharacteristic, complemented
531#2761C2×C1311yescharacteristic, complemented
532#2758C2×C1311yescharacteristic, complemented
533#2757C2×C1311yescharacteristic, complemented
534#2747C2×C1311yescharacteristic, complemented
535#2745C2×C1311yescharacteristic, complemented
536#2739C2×C1311yescharacteristic, complemented
537#2737C2×C1311yescharacteristic, complemented
538#2731C2×C1311yescharacteristic, complemented
539#2716C2×C1311yescharacteristic, complemented
540#2691C2×C1311yescharacteristic, complemented
541#2686C2×C1311yescharacteristic, complemented
542#2643C2×C1311yescharacteristic, complemented
543#2639C2×C1311yescharacteristic, complemented
544#2591C2×C1311yescharacteristic, complemented
545#2579C2×C1311yescharacteristic, complemented
546#2450C2×C1311yescharacteristic, complemented
547#2450C2×C1311yescharacteristic, complemented
548#2444C2×C1311yescharacteristic, complemented
549#2444C2×C1311yescharacteristic, complemented
550#2440C2×C1311yescharacteristic, complemented
551#2416C2×C1311yescharacteristic
552#2325C2×C1311yescharacteristic, complemented
553#2318C2×C1311yescharacteristic, complemented
554C2×#387C2×C1311yescharacteristic, complemented
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×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×C13C2×#4112yes—
581C23×C13H(5,𝔽2)12yes—
582C23×C132−1+412yes—
583C23×C13C2511yescharacteristic
584Q8×C13—82no—
585Q8×C13—82no—
586D4×C13—44no—
587D4×C13—44no—
588D4×C13—44no—
589D4×C13—82no—
590D4×C13—82no—
591D4×C13—82no—
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—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—44no—
671C2×C4×C13—44no—
672C2×C4×C13—44no—
673C2×C4×C13—44no—
674C2×C4×C13—44no—
675C2×C4×C13—82no—
676C2×C4×C13—82no—
677C2×C4×C13—82no—
678C2×C4×C13—82no—
679C2×C4×C13—82no—
680C2×C4×C13C2×#4112yes—
681C2×C4×C13C2×#4112yes—
682C2×C4×C13H(5,𝔽2)12yes—
683C2×C4⋊Q8C22×C1311yescharacteristic
684C2×#126C22×C1311yescharacteristic
685C2×#124C22×C1311yescharacteristic
686C2×C22⋊Q8C22×C1311yescharacteristic
687C2×C22⋊Q8C22×C1311yescharacteristic
688C2×#121C22×C1311yescharacteristic
689C2×#121C22×C1311yescharacteristic
690C2×#121C22×C1311yescharacteristic
691C2×#121C22×C1311yescharacteristic
692C2×C4×D4C22×C1311yescharacteristic
693C2×C4×D4C22×C1311yescharacteristic
694C2×C4×D4C22×C1311yescharacteristic
695C22×C4⋊C4C22×C1311yescharacteristic
696C22×C4⋊C4C22×C1311yescharacteristic
697C22×C42C22×C1311yescharacteristic
698#401C22×C1311yescharacteristic
699#400C22×C1311yescharacteristic
700#400C22×C1311yescharacteristic
701#400C22×C1311yescharacteristic
702#400C22×C1311yescharacteristic
703#400C22×C1311yescharacteristic
704#400C22×C1311yescharacteristic
705#400C22×C1311yescharacteristic
706#400C22×C1311yescharacteristic
707#400C22×C1311yescharacteristic
708#400C22×C1311yescharacteristic
709#400C22×C1311yescharacteristic
710#398C22×C1311yescharacteristic
711#398C22×C1311yescharacteristic
712#398C22×C1311yescharacteristic
713#398C22×C1311yescharacteristic
714#398C22×C1311yescharacteristic
715#398C22×C1311yescharacteristic
716#397C22×C1311yescharacteristic
717#397C22×C1311yescharacteristic
718#397C22×C1311yescharacteristic
719#397C22×C1311yescharacteristic
720#397C22×C1311yescharacteristic
721#397C22×C1311yescharacteristic
722#397C22×C1311yescharacteristic
723#397C22×C1311yescharacteristic
724#397C22×C1311yescharacteristic
725#396C22×C1311yescharacteristic
726#396C22×C1311yescharacteristic
727#396C22×C1311yescharacteristic
728#396C22×C1311yescharacteristic
729#396C22×C1311yescharacteristic
730#396C22×C1311yescharacteristic
731#396C22×C1311yescharacteristic
732#395C22×C1311yescharacteristic
733#395C22×C1311yescharacteristic
734#394C22×C1311yescharacteristic
735#394C22×C1311yescharacteristic
736#394C22×C1311yescharacteristic
737#394C22×C1311yescharacteristic
738#394C22×C1311yescharacteristic
739#394C22×C1311yescharacteristic
740#394C22×C1311yescharacteristic
741#394C22×C1311yescharacteristic
742#393C22×C1311yescharacteristic
743#393C22×C1311yescharacteristic
744#393C22×C1311yescharacteristic
745#393C22×C1311yescharacteristic
746#391C22×C1311yescharacteristic
747#391C22×C1311yescharacteristic
748#391C22×C1311yescharacteristic
749#390C22×C1311yescharacteristic
750#390C22×C1311yescharacteristic
751#389C22×C1311yescharacteristic
752#389C22×C1311yescharacteristic
753#389C22×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#388C22×C1311yescharacteristic
767#388C22×C1311yescharacteristic
768#388C22×C1311yescharacteristic
769#388C22×C1311yescharacteristic
770#388C22×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#387C22×C1311yescharacteristic
785#387C22×C1311yescharacteristic
786#387C22×C1311yescharacteristic
787#387C22×C1311yescharacteristic
788#387C22×C1311yescharacteristic
789#387C22×C1311yescharacteristic
790#387C22×C1311yescharacteristic
791#387C22×C1311yescharacteristic
792#386C22×C1311yescharacteristic
793#386C22×C1311yescharacteristic
794#386C22×C1311yescharacteristic
795#386C22×C1311yescharacteristic
796#386C22×C1311yescharacteristic
797#386C22×C1311yescharacteristic
798#386C22×C1311yescharacteristic
799#386C22×C1311yescharacteristic
800#386C22×C1311yescharacteristic
801#386C22×C1311yescharacteristic
802#386C22×C1311yescharacteristic
803#386C22×C1311yescharacteristic
804#386C22×C1311yescharacteristic
805#386C22×C1311yescharacteristic
806#386C22×C1311yescharacteristic
807#386C22×C1311yescharacteristic
808#385C22×C1311yescharacteristic
809#385C22×C1311yescharacteristic
810#385C22×C1311yescharacteristic
811#385C22×C1311yescharacteristic
812#385C22×C1311yescharacteristic
813#385C22×C1311yescharacteristic
814#385C22×C1311yescharacteristic
815#385C22×C1311yescharacteristic
816#385C22×C1311yescharacteristic
817#385C22×C1311yescharacteristic
818#385C22×C1311yescharacteristic
819#385C22×C1311yescharacteristic
820#384C22×C1311yescharacteristic
821#383C22×C1311yescharacteristic
822#383C22×C1311yescharacteristic
823#382C22×C1311yescharacteristic
824#382C22×C1311yescharacteristic
825#381C22×C1311yescharacteristic
826#381C22×C1311yescharacteristic
827#381C22×C1311yescharacteristic
828#380C22×C1311yescharacteristic
829#380C22×C1311yescharacteristic
830#380C22×C1311yescharacteristic
831#380C22×C1311yescharacteristic
832#380C22×C1311yescharacteristic
833C4×C22⋊C4C22×C1311yescharacteristic
834C2×#95C22×C1311yescharacteristic
835C2×#95C22×C1311yescharacteristic
836C2×#95C22×C1311yescharacteristic
837C2×#95C22×C1311yescharacteristic
838C22×C13—22no—
839C22×C13—22no—
840C22×C13—22no—
841C22×C13—22no—
842C22×C13—22no—
843C22×C13—22no—
844C22×C13—41no—
845C22×C13—41no—
846C22×C13—41no—
847C22×C13—41no—
848C22×C13—41no—
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#54214yes—
866C22×C13C22×#4111yescharacteristic
867C22×C13C2×H(5,𝔽2)11yescharacteristic
868C22×C13C2×H(5,𝔽2)11yescharacteristic
869C22×C13C2×2−1+411yescharacteristic
870C22×C13#58511yescharacteristic
871C22×C13#58511yescharacteristic
872C22×C13#58511yescharacteristic
873C4×C13—22no—
874C4×C13—22no—
875C4×C13—22no—
876C4×C13—41no—
877C4×C13—41no—
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—
900C22×Q8C23×C1311yescharacteristic
901C22×Q8C23×C1311yescharacteristic
902C22×D4C23×C1311yescharacteristic
903C22×D4C23×C1311yescharacteristic
904C22×D4C23×C1311yescharacteristic
905C22×D4C23×C1311yescharacteristic
906C22×D4C23×C1311yescharacteristic
907C22×D4C23×C1311yescharacteristic
908C23×C4C23×C1311yescharacteristic
909C23×C4C23×C1311yescharacteristic
910C23×C4C23×C1311yescharacteristic
911C23×C4C23×C1311yescharacteristic
912C23×C4C23×C1311yescharacteristic
913C23×C4C23×C1311yescharacteristic
914C23×C4C23×C1311yescharacteristic
915C23×C4C23×C1311yescharacteristic
916C23×C4C23×C1311yescharacteristic
917C23×C4C23×C1311yescharacteristic
918C4⋊Q8—42no—
919#126—42no—
920#124—42no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923#121—24no—
924#121—42no—
925#121—42no—
926#121—42no—
927C4×D4—24no—
928C4×D4—42no—
929C4×D4—42no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—42no—
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×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×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×C42—42no—
1005C2×C42C23×C1311yescharacteristic
1006C2×C42C23×C1311yescharacteristic
1007C2×C42C23×C1311yescharacteristic
1008C2×C42C23×C1311yescharacteristic
1009C2×C42C23×C1311yescharacteristic
1010C2×C42C23×C1311yescharacteristic
1011C2×C42C23×C1311yescharacteristic
1012C2×C42C23×C1311yescharacteristic
1013C2×C42C23×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
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
1070C2×C13—24no—
1071C2×C13—81no—
1072C2×C13—81no—
1073C2×C13—81no—
1074C2×C13C2×#54211yescharacteristic
1075C2×C13#349311yescharacteristic
1076C2×C13#350511yescharacteristic
1077C2×C13#353411yescharacteristic
1078C2×C13#354111yescharacteristic
1079C2×C13#355311yescharacteristic
1080C2×C13#356011yescharacteristic
1081C24C24×C1311yescharacteristic
1082C24C24×C1311yescharacteristic
1083C24C24×C1311yescharacteristic
1084C24C24×C1311yescharacteristic
1085C2×Q8—22no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×D4—22no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
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—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4C13×#4114yes—
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
1155C22×C4C24×C1311yescharacteristic
1156C22×C4C24×C1311yescharacteristic
1157C22×C4C24×C1311yescharacteristic
1158C22×C4C24×C1311yescharacteristic
1159C22×C4C24×C1311yescharacteristic
1160C22×C4C24×C1311yescharacteristic
1161C22×C4C24×C1311yescharacteristic
1162C22×C4C24×C1311yescharacteristic
1163C22×C4C24×C1311yescharacteristic
1164C22×C4C24×C1311yescharacteristic
1165C22×C4C24×C1311yescharacteristic
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
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—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
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—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C13#3678111yescharacteristic, direct product factor, Sylow
1248C23—21no—
1249C23—21no—
1250C23—21no—
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—
1273C23C2×C13×#4112yes—
1274C23C13×H(5,𝔽2)12yes—
1275C23C13×2−1+412yes—
1276C23C25×C1311yescharacteristic
1277Q8—82no—
1278Q8—82no—
1279D4—44no—
1280D4—44no—
1281D4—44no—
1282D4—82no—
1283D4—82no—
1284D4—82no—
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—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—44no—
1364C2×C4—44no—
1365C2×C4—44no—
1366C2×C4—44no—
1367C2×C4—44no—
1368C2×C4—82no—
1369C2×C4—82no—
1370C2×C4—82no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4C2×C13×#4112yes—
1374C2×C4C2×C13×#4112yes—
1375C2×C4C13×H(5,𝔽2)12yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
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—
1403C22C13×#54214yes—
1404C22C22×C13×#4111yescharacteristic
1405C22C2×C13×H(5,𝔽2)11yescharacteristic
1406C22C2×C13×H(5,𝔽2)11yescharacteristic
1407C22C2×C13×2−1+411yescharacteristic
1408C22C13×#58511yescharacteristic
1409C22C13×#58511yescharacteristic
1410C22C13×#58511yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
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—
1438C2—24no—
1439C2—81no—
1440C2—81no—
1441C2—81no—
1442C2C2×C13×#54211yescharacteristic
1443C2C13×#349311yescharacteristic
1444C2C13×#350511yescharacteristic
1445C2C13×#353411yescharacteristic
1446C2C13×#354111yescharacteristic
1447C2C13×#355311yescharacteristic
1448C2C13×#356011yescharacteristic
subgroupG/H
center, socleC23×C13C25
commutator, Frattini, cosocleC23C25×C13
prime radicalC13×#2416C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#2852C2semidirect
2. C13×#2850C2semidirect
3. C13×#2795C2semidirect
4. C13×#2793C2semidirect
5. C13×#2779C2semidirect
6. C13×#2767C2semidirect
7. C13×#2765C2semidirect
8. C13×#2761C2semidirect
9. C13×#2758C2semidirect
10. C13×#2757C2semidirect
11. C13×#2747C2semidirect
12. C13×#2745C2semidirect
13. C13×#2739C2semidirect
14. C13×#2737C2semidirect
15. C13×#2731C2semidirect
16. C13×#2716C2semidirect
17. C13×#2691C2semidirect
18. C13×#2686C2semidirect
19. C13×#2643C2semidirect
20. C13×#2639C2semidirect
21. C13×#2591C2semidirect
22. C13×#2579C2semidirect
23. C13×#2450C2semidirect
24. C13×#2450C2semidirect
25. C13×#2444C2semidirect
26. C13×#2444C2semidirect
27. C13×#2440C2semidirect
29. C13×#2325C2semidirect
30. C13×#2318C2semidirect
31. C2×C13×#387C2semidirect
357. #36781C13direct (N × H)
524. #2852C2×C13semidirect
525. #2850C2×C13semidirect
526. #2795C2×C13semidirect
527. #2793C2×C13semidirect
528. #2779C2×C13semidirect
529. #2767C2×C13semidirect
530. #2765C2×C13semidirect
531. #2761C2×C13semidirect
532. #2758C2×C13semidirect
533. #2757C2×C13semidirect
534. #2747C2×C13semidirect
535. #2745C2×C13semidirect
536. #2739C2×C13semidirect
537. #2737C2×C13semidirect
538. #2731C2×C13semidirect
539. #2716C2×C13semidirect
540. #2691C2×C13semidirect
541. #2686C2×C13semidirect
542. #2643C2×C13semidirect
543. #2639C2×C13semidirect
544. #2591C2×C13semidirect
545. #2579C2×C13semidirect
546. #2450C2×C13semidirect
547. #2450C2×C13semidirect
548. #2444C2×C13semidirect
549. #2444C2×C13semidirect
550. #2440C2×C13semidirect
552. #2325C2×C13semidirect
553. #2318C2×C13semidirect
554. C2×#387C2×C13semidirect
1247. C13#36781direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#28522
C13×#28502
C13×#27952
C13×#27932
C13×#27792
C13×#27672
C13×#27652
C13×#27612
C13×#27582
C13×#27572
C13×#27472
C13×#27452
C13×#27392
C13×#27372
C13×#27312
C13×#27162
C13×#26912
C13×#26862
C13×#26432
C13×#26392
C13×#25912
C13×#25792
C13×#24502
C13×#24442
C13×#24402
C13×#24162
C13×#23252
C13×#23182
C2×C13×#3872
#3678113