Finite Group Databasebeta

← C13×#61971 #15748310

Subgroups — C13×#61971 #15748310

Order 3328.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3514C211yesmaximal, characteristic, complemented
2C13×#3481C211yesmaximal, characteristic, complemented
3C13×#3403C211yesmaximal, characteristic, complemented
4C13×#3401C211yesmaximal, characteristic, complemented
5C13×#3376C211yesmaximal, characteristic, complemented
6C13×#3370C211yesmaximal, characteristic, complemented
7C13×#3326C211yesmaximal, characteristic, complemented
8C13×#3322C211yesmaximal, characteristic, complemented
9C13×#3320C211yesmaximal, characteristic, complemented
10C13×#3318C211yesmaximal, characteristic, complemented
11C13×#3316C211yesmaximal, characteristic, complemented
12C13×#3314C211yesmaximal, characteristic, complemented
13C13×#3275C211yesmaximal, characteristic, complemented
14C13×#3273C211yesmaximal, characteristic, complemented
15C13×#3266C211yesmaximal, characteristic, complemented
16C13×#3265C211yesmaximal, characteristic, complemented
17C13×#3264C211yesmaximal, characteristic, complemented
18C13×#3264C211yesmaximal, characteristic, complemented
19C13×#3256C211yesmaximal, characteristic, complemented
20C13×#3251C211yesmaximal, characteristic, complemented
21C13×#3250C211yesmaximal, characteristic, complemented
22C13×#3219C211yesmaximal, characteristic, complemented
23C13×#3213C211yesmaximal, characteristic, complemented
24C13×#3211C211yesmaximal, characteristic, complemented
25C13×#3114C211yesmaximal, characteristic, complemented
26C13×#3111C211yesmaximal, characteristic, complemented
27C13×#3105C211yesmaximal, characteristic, complemented
28C13×#3040C211yesmaximal, characteristic, complemented
29C13×#3036C211yesmaximal, characteristic, complemented
30C2×C13×#463C211yesmaximal, characteristic, complemented
31C13×#2989C211yesmaximal, characteristic, complemented
32C2×C13×#137C2211yescharacteristic, complemented
33C2×C13×AGL(1,ℤ/8)C2211yescharacteristic
34C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C22×C13×SD16C2211yescharacteristic, complemented
37C22×C13×D8C2211yescharacteristic
38C13×#559C2211yescharacteristic, complemented
39C13×#559C2211yescharacteristic, complemented
40C13×#556C2211yescharacteristic, complemented
41C13×#555—21no—
42C13×#554C2211yescharacteristic, complemented
43C13×#554C2211yescharacteristic, complemented
44C13×#553—21no—
45C13×#553C2211yescharacteristic
46C13×#553C2211yescharacteristic, complemented
47C13×#551—21no—
48C13×#551—21no—
49C13×#551—21no—
50C13×#551—21no—
51D4×Q8×C13C2211yescharacteristic, complemented
52C13×#548C2211yescharacteristic
53C13×#548C2211yescharacteristic, complemented
54C13×#546—21no—
55C13×#546—21no—
56C13×#546C2211yescharacteristic
57C13×#546C2211yescharacteristic
58C13×#546C2211yescharacteristic, complemented
59C13×#546C2211yescharacteristic, complemented
60D42×C13C2211yescharacteristic, complemented
61D42×C13C2211yescharacteristic, complemented
62C13×#542—21no—
63C13×#538—21no—
64C13×#538—21no—
65C13×#532C2211yescharacteristic, complemented
66C13×#532C2211yescharacteristic, complemented
67C13×#529—21no—
68C13×#529C2211yescharacteristic, complemented
69C13×#529C2211yescharacteristic, complemented
70C13×#529C2211yescharacteristic, complemented
71C13×#529C2211yescharacteristic, complemented
72C13×#529C2211yescharacteristic, complemented
73C2×C13×#124C2211yescharacteristic, complemented
74C2×C13×#124C2211yescharacteristic, complemented
75C13×#525—21no—
76C13×#525—21no—
77C13×#518—21no—
78C4×C13×#41C2211yescharacteristic
79C4×C13×#41C2211yescharacteristic, complemented
80C2×C4×D4×C13—21no—
81C2×C4×D4×C13C2211yescharacteristic, complemented
82C2×C4×D4×C13C2211yescharacteristic, complemented
83C13×#497C2211yescharacteristic, complemented
84C13×#496C2211yescharacteristic
85C13×#496C2211yescharacteristic, complemented
86C13×#496C2211yescharacteristic, complemented
87C13×#495C2211yescharacteristic, complemented
88C13×#495C2211yescharacteristic, complemented
89C13×#491C2211yescharacteristic, complemented
90C13×#490C2211yescharacteristic, complemented
91C13×#489C2211yescharacteristic, complemented
92C13×#489C2211yescharacteristic, complemented
93C13×#488C2211yescharacteristic, complemented
94C13×#488C2211yescharacteristic, complemented
95C13×#485C2211yescharacteristic, complemented
96C13×#484C2211yescharacteristic, complemented
97C13×#483C2211yescharacteristic, complemented
98C13×#482C2211yescharacteristic, complemented
99C13×#481C2211yescharacteristic, complemented
100C13×#480C2211yescharacteristic, complemented
101C13×#479C2211yescharacteristic, complemented
102C13×#479C2211yescharacteristic, complemented
103C13×#479C2211yescharacteristic, complemented
104C13×#478C2211yescharacteristic, complemented
105C13×#478C2211yescharacteristic, complemented
106C13×#478C2211yescharacteristic, complemented
107C13×#478C2211yescharacteristic, complemented
108C13×#478C2211yescharacteristic, complemented
109C13×#475C2211yescharacteristic, complemented
110C13×#474C2211yescharacteristic, complemented
111C13×#470C2211yescharacteristic, complemented
112C13×#469C2211yescharacteristic
113C13×#469C2211yescharacteristic, complemented
114C13×#469C2211yescharacteristic, complemented
115C13×#468C2211yescharacteristic, complemented
116C13×#468C2211yescharacteristic, complemented
117C13×#468C2211yescharacteristic, complemented
118C13×#468C2211yescharacteristic, complemented
119C13×#467C2211yescharacteristic, complemented
120C13×#466C2211yescharacteristic
121C13×#465C2211yescharacteristic, complemented
122C13×#465C2211yescharacteristic, complemented
123C13×#464C2211yescharacteristic, complemented
124C13×#464C2211yescharacteristic, complemented
125C13×#464C2211yescharacteristic, complemented
126C13×#464C2211yescharacteristic, complemented
127C13×#464C2211yescharacteristic, complemented
128C13×#464C2211yescharacteristic, complemented
129C13×#464C2211yescharacteristic, complemented
130C13×#463C2211yescharacteristic
131C13×#463C2211yescharacteristic
132C13×#463C2211yescharacteristic
133C13×#463C2211yescharacteristic, complemented
134C13×#463C2211yescharacteristic, complemented
135C13×#463C2211yescharacteristic, complemented
136C13×#463C2211yescharacteristic, complemented
137C13×#463C2211yescharacteristic, complemented
138C13×#463C2211yescharacteristic, complemented
139C13×#463C2211yescharacteristic, complemented
140C13×#463C2211yescharacteristic, complemented
141C13×#463C2211yescharacteristic, complemented
142C13×#463C2211yescharacteristic, complemented
143C13×#463C2211yescharacteristic, complemented
144C13×#463C2211yescharacteristic, complemented
145C13×#463C2211yescharacteristic, complemented
146C13×#463C2211yescharacteristic, complemented
147C13×#461C2211yescharacteristic, complemented
148C13×#461C2211yescharacteristic, complemented
149C13×#460C2211yescharacteristic, complemented
150C13×#459C2211yescharacteristic
151C13×#459C2211yescharacteristic, complemented
152C13×#459C2211yescharacteristic, complemented
153C13×#452C2211yescharacteristic, complemented
154C13×#452C2211yescharacteristic, complemented
155C13×#452C2211yescharacteristic, complemented
156C13×#451C2211yescharacteristic, complemented
157C13×#450C2211yescharacteristic, complemented
158C13×#450C2211yescharacteristic, complemented
159C13×#450C2211yescharacteristic, complemented
160C13×#449C2211yescharacteristic
161C13×#449C2211yescharacteristic, complemented
162C13×#449C2211yescharacteristic, complemented
163C13×#448C2211yescharacteristic, complemented
164C13×#448C2211yescharacteristic, complemented
165C13×#448C2211yescharacteristic, complemented
166C13×#447C2211yescharacteristic
167C13×#447C2211yescharacteristic
168C13×#447C2211yescharacteristic
169C13×#447C2211yescharacteristic, complemented
170C13×#447C2211yescharacteristic, complemented
171C13×#446C2211yescharacteristic, complemented
172C13×#446C2211yescharacteristic, complemented
173C13×#442C2211yescharacteristic
174C13×#442C2211yescharacteristic, complemented
175C13×#442C2211yescharacteristic, complemented
176C13×#441C2211yescharacteristic, complemented
177C13×#440C2211yescharacteristic, complemented
178C13×#440C2211yescharacteristic, complemented
179C13×#440C2211yescharacteristic, complemented
180C13×#440C2211yescharacteristic, complemented
181C4×C13×SD16C2211yescharacteristic, complemented
182C4×C13×SD16C2211yescharacteristic, complemented
183C4×C13×D8C2211yescharacteristic, complemented
184C4×C13×D8C2211yescharacteristic, complemented
185C13×#436C2211yescharacteristic, complemented
186C13×#436C2211yescharacteristic, complemented
187C13×#435C2211yescharacteristic, complemented
188C13×#435C2211yescharacteristic, complemented
189C13×#435C2211yescharacteristic, complemented
190C13×#435C2211yescharacteristic, complemented
191C13×#432C2211yescharacteristic, complemented
192C13×#432C2211yescharacteristic, complemented
193C13×#431C2211yescharacteristic, complemented
194C13×#423C2211yescharacteristic, complemented
195C13×#423C2211yescharacteristic, complemented
196C2×C13×C4⋊C8C2211yescharacteristic, complemented
197C13×#419C2211yescharacteristic, complemented
198C13×#418C2211yescharacteristic, complemented
199C13×#417C2211yescharacteristic, complemented
200C13×#417C2211yescharacteristic, complemented
201C2×C13×#103C2211yescharacteristic, complemented
202C2×C13×#102C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41D411yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C2×C13×#41C2311yescharacteristic
207C2×C13×#41C2311yescharacteristic
208C22×Q8×C13C2311yescharacteristic
209C22×Q8×C13C2311yescharacteristic
210C22×D4×C13—21no—
211C22×D4×C13—21no—
212C22×D4×C13C2311yescharacteristic
213C22×D4×C13C2311yescharacteristic
214C22×D4×C13C2311yescharacteristic
215C22×D4×C13C2311yescharacteristic
216C23×C4×C13—21no—
217C23×C4×C13—21no—
218C13×#137—42no—
219C13×AGL(1,ℤ/8)—42no—
220C13×AGL(1,ℤ/8)—42no—
221C13×AGL(1,ℤ/8)—42no—
222C2×C13×Q16C2311yescharacteristic
223C2×C13×Q16C2311yescharacteristic
224C2×C13×Q16C2311yescharacteristic
225C2×C13×SD16—42no—
226C2×C13×SD16C2311yescharacteristic
227C2×C13×SD16C2311yescharacteristic
228C2×C13×SD16C2311yescharacteristic
229C2×C13×SD16C2311yescharacteristic
230C2×C13×SD16C2311yescharacteristic
231C2×C13×SD16C2311yescharacteristic
232C2×C13×SD16C2311yescharacteristic
233C2×C13×SD16C2311yescharacteristic
234C2×C13×SD16C2311yescharacteristic
235C2×C13×SD16C2311yescharacteristic
236C2×C13×SD16C2311yescharacteristic
237C2×C13×SD16C2311yescharacteristic
238C2×C13×D8—42no—
239C2×C13×D8C2311yescharacteristic
240C2×C13×D8C2311yescharacteristic
241C2×C13×D8C2311yescharacteristic
242C2×C13×D8C2311yescharacteristic
243C2×C13×D8C2311yescharacteristic
244C2×C13×D8C2311yescharacteristic
245C2×C13×D8C2311yescharacteristic
246C2×C13×D8C2311yescharacteristic
247C2×C13×D8C2311yescharacteristic
248C2×C13×M16C2311yescharacteristic
249C2×C13×M16C2311yescharacteristic
250C2×C13×M16C2311yescharacteristic
251C2×C13×M16C2311yescharacteristic
252C22×C8×C13C2311yescharacteristic
253C22×C8×C13C2311yescharacteristic
254C13×C4⋊Q8—21no—
255C13×C4⋊Q8C2311yescharacteristic
256C13×C4⋊Q8C2311yescharacteristic
257C13×#127C2311yescharacteristic
258C13×#127C2311yescharacteristic
259C13×#126—21no—
260C13×#126—21no—
261C13×#126—21no—
262C13×#126—21no—
263C13×#126—21no—
264C13×#126—21no—
265C13×#126—21no—
266C13×#126—21no—
267C13×#126—21no—
268C13×#125—21no—
269C13×#125C2311yescharacteristic
270C13×#125C2311yescharacteristic
271C13×#125C2311yescharacteristic
272C13×#124—21no—
273C13×#124—21no—
274C13×#124—21no—
275C13×#124—21no—
276C13×#124—21no—
277C13×#124—21no—
278C13×#124—21no—
279C13×#124—21no—
280C13×#124—21no—
281C13×#124C2311yescharacteristic
282C13×#124C2311yescharacteristic
283C13×#124C2311yescharacteristic
284C13×#124C2311yescharacteristic
285C13×#124C2311yescharacteristic
286C13×#124C2311yescharacteristic
287C13×#124C2311yescharacteristic
288C13×#124C2311yescharacteristic
289C13×#124C2311yescharacteristic
290C13×#123—21no—
291C13×#123—21no—
292C13×#123—21no—
293C13×#123—21no—
294C13×#123—21no—
295C13×#123—21no—
296C13×#123—21no—
297C13×#123—21no—
298C13×#123—21no—
299C13×#123—21no—
300C13×#123—21no—
301C13×#123—21no—
302C13×#123—21no—
303C13×#123—21no—
304C13×#123—21no—
305C13×C22⋊Q8—21no—
306C13×C22⋊Q8—21no—
307C13×C22⋊Q8—21no—
308C13×C22⋊Q8—21no—
309C13×C22⋊Q8—21no—
310C13×C22⋊Q8—21no—
311C13×C22⋊Q8—21no—
312C13×C22⋊Q8—21no—
313C13×C22⋊Q8—21no—
314C13×C22⋊Q8—21no—
315C13×C22⋊Q8C2311yescharacteristic
316C13×C22⋊Q8C2311yescharacteristic
317C13×C22⋊Q8C2311yescharacteristic
318C13×C22⋊Q8C2311yescharacteristic
319C13×C22⋊Q8C2311yescharacteristic
320C13×#121—21no—
321C13×#121—21no—
322C13×#121—21no—
323C13×#121—21no—
324C13×#121—21no—
325C13×#121—21no—
326C13×#121—21no—
327C13×#121—21no—
328C13×#121—21no—
329C13×#121—21no—
330C13×#121—21no—
331C13×#121—21no—
332C13×#121—21no—
333C13×#121C2311yescharacteristic
334C13×#121C2311yescharacteristic
335C13×#121C2311yescharacteristic
336C13×#121C2311yescharacteristic
337C13×#121C2311yescharacteristic
338C13×#121C2311yescharacteristic
339C13×#121C2311yescharacteristic
340C13×#120—21no—
341C13×#120—21no—
342C13×#120—21no—
343C13×#120—21no—
344C13×#120—21no—
345C13×#120—21no—
346C13×#120—21no—
347C13×#120—21no—
348C4×Q8×C13D411yescharacteristic
349C4×Q8×C13C2311yescharacteristic
350C4×Q8×C13C2311yescharacteristic
351C4×Q8×C13C2311yescharacteristic
352C4×Q8×C13C2311yescharacteristic
353C4×Q8×C13C2311yescharacteristic
354C4×Q8×C13C2311yescharacteristic
355C4×D4×C13—21no—
356C4×D4×C13—21no—
357C4×D4×C13—21no—
358C4×D4×C13—21no—
359C4×D4×C13—21no—
360C4×D4×C13—21no—
361C4×D4×C13—21no—
362C4×D4×C13—21no—
363C4×D4×C13—21no—
364C4×D4×C13—21no—
365C4×D4×C13—21no—
366C4×D4×C13—21no—
367C4×D4×C13—21no—
368C4×D4×C13—21no—
369C4×D4×C13—21no—
370C4×D4×C13—21no—
371C4×D4×C13—21no—
372C4×D4×C13—21no—
373C4×D4×C13—21no—
374C4×D4×C13—21no—
375C4×D4×C13—21no—
376C4×D4×C13—21no—
377C4×D4×C13D411yescharacteristic
378C4×D4×C13D411yescharacteristic
379C4×D4×C13D411yescharacteristic
380C4×D4×C13C2311yescharacteristic
381C4×D4×C13C2311yescharacteristic
382C4×D4×C13C2311yescharacteristic
383C4×D4×C13C2311yescharacteristic
384C4×D4×C13C2311yescharacteristic
385C4×D4×C13C2311yescharacteristic
386C4×D4×C13C2311yescharacteristic
387C4×D4×C13C2311yescharacteristic
388C4×D4×C13C2311yescharacteristic
389C4×D4×C13C2311yescharacteristic
390C4×D4×C13C2311yescharacteristic
391C4×D4×C13C2311yescharacteristic
392C4×D4×C13C2311yescharacteristic
393C4×D4×C13C2311yescharacteristic
394C13×#117—21no—
395C13×#117—21no—
396C13×#117—21no—
397C13×#117—21no—
398C13×#117—21no—
399C13×#117—21no—
400C13×#117—21no—
401C13×#117D411yescharacteristic
402C13×#117D411yescharacteristic
403C13×#117D411yescharacteristic
404C13×#117C2311yescharacteristic
405C2×C13×C4⋊C4—21no—
406C2×C13×C4⋊C4C2311yescharacteristic
407C2×C13×C4⋊C4C2311yescharacteristic
408C2×C13×C22⋊C4—21no—
409C2×C13×C22⋊C4—21no—
410C2×C13×C22⋊C4—21no—
411C2×C13×C22⋊C4—21no—
412C2×C13×C22⋊C4—21no—
413C2×C13×C22⋊C4—21no—
414C2×C13×C22⋊C4—21no—
415C2×C13×C22⋊C4—21no—
416C2×C13×C22⋊C4—21no—
417C2×C13×C22⋊C4—21no—
418C2×C42×C13—21no—
419C2×C42×C13C2311yescharacteristic
420C2×C42×C13C2311yescharacteristic
421C2×C42×C13C2311yescharacteristic
422C13×#107C2311yescharacteristic
423C13×#107C2311yescharacteristic
424C13×#107C2311yescharacteristic
425C13×#107C2311yescharacteristic
426C13×#106C2311yescharacteristic
427C13×#106C2311yescharacteristic
428C13×#106C2311yescharacteristic
429C13×#106C2311yescharacteristic
430C13×C4⋊C8C2311yescharacteristic
431C13×C4⋊C8C2311yescharacteristic
432C13×C4⋊C8C2311yescharacteristic
433C13×C4⋊C8C2311yescharacteristic
434C13×C4⋊C8C2311yescharacteristic
435C13×C4⋊C8C2311yescharacteristic
436C13×C4⋊C8C2311yescharacteristic
437C13×C4⋊C8C2311yescharacteristic
438C13×C4⋊C8C2311yescharacteristic
439C13×C4⋊C8C2311yescharacteristic
440C13×#103C2311yescharacteristic
441C13×#103C2311yescharacteristic
442C13×#103C2311yescharacteristic
443C13×#103C2311yescharacteristic
444C13×#103C2311yescharacteristic
445C13×#103C2311yescharacteristic
446C13×#103C2311yescharacteristic
447C13×#103C2311yescharacteristic
448C13×#103C2311yescharacteristic
449C13×#103C2311yescharacteristic
450C13×#103C2311yescharacteristic
451C13×#103C2311yescharacteristic
452C13×#103C2311yescharacteristic
453C13×#103C2311yescharacteristic
454C13×#102C2311yescharacteristic
455C13×#102C2311yescharacteristic
456C13×#102C2311yescharacteristic
457C13×#102C2311yescharacteristic
458C13×#102C2311yescharacteristic
459C13×#102C2311yescharacteristic
460C13×#102C2311yescharacteristic
461C13×#102C2311yescharacteristic
462C13×#102C2311yescharacteristic
463C13×#102C2311yescharacteristic
464C13×#102C2311yescharacteristic
465C13×#102C2311yescharacteristic
466C13×#102C2311yescharacteristic
467C13×#102C2311yescharacteristic
468C13×#102C2311yescharacteristic
469C13×#102C2311yescharacteristic
470C13×#102C2311yescharacteristic
471C13×#102C2311yescharacteristic
472C13×C22⋊C8C2311yescharacteristic
473C13×C22⋊C8C2311yescharacteristic
474C13×C22⋊C8C2311yescharacteristic
475C13×C22⋊C8C2311yescharacteristic
476C13×C22⋊C8C2311yescharacteristic
477C13×C22⋊C8C2311yescharacteristic
478C13×#97C2311yescharacteristic
479C13×#97C2311yescharacteristic
480C13×#97C2311yescharacteristic
481C13×#97C2311yescharacteristic
482C4×C8×C13C2311yescharacteristic
483C4×C8×C13C2311yescharacteristic
484#61971C1311yesmaximal, characteristic, direct product factor, Sylow
485C24×C13—21no—
486C24×C13—21no—
487C24×C13—21no—
488C24×C13—21no—
489C13×#41—22no—
490C13×#41—42no—
491C13×#41—41no—
492C13×#41—41no—
493C13×#41—41no—
494C13×#41—41no—
495C13×#41—41no—
496C13×#41—82no—
497C2×Q8×C13—21no—
498C2×Q8×C13—21no—
499C2×Q8×C13—21no—
500C2×Q8×C13—41no—
501C2×Q8×C13—41no—
502C2×Q8×C13—41no—
503C2×Q8×C13—41no—
504C2×Q8×C13C2×D411yescharacteristic
505C2×Q8×C13C2411yescharacteristic
506C2×Q8×C13C2411yescharacteristic
507C2×Q8×C13C2411yescharacteristic
508C2×Q8×C13C2411yescharacteristic
509C2×D4×C13—22no—
510C2×D4×C13—22no—
511C2×D4×C13—21no—
512C2×D4×C13—21no—
513C2×D4×C13—21no—
514C2×D4×C13—21no—
515C2×D4×C13—21no—
516C2×D4×C13—21no—
517C2×D4×C13—21no—
518C2×D4×C13—21no—
519C2×D4×C13—21no—
520C2×D4×C13—21no—
521C2×D4×C13—21no—
522C2×D4×C13—21no—
523C2×D4×C13—21no—
524C2×D4×C13—21no—
525C2×D4×C13—21no—
526C2×D4×C13—21no—
527C2×D4×C13—21no—
528C2×D4×C13—21no—
529C2×D4×C13—41no—
530C2×D4×C13—41no—
531C2×D4×C13—41no—
532C2×D4×C13—41no—
533C2×D4×C13—41no—
534C2×D4×C13—41no—
535C2×D4×C13—44no—
536C2×D4×C13—44no—
537C2×D4×C13C2×D411yescharacteristic
538C2×D4×C13C2×D411yescharacteristic
539C2×D4×C13C2×D411yescharacteristic
540C2×D4×C13C2411yescharacteristic
541C2×D4×C13C2411yescharacteristic
542C2×D4×C13C2411yescharacteristic
543C2×D4×C13C2411yescharacteristic
544C2×D4×C13C2411yescharacteristic
545C2×D4×C13C2411yescharacteristic
546C22×C4×C13—21no—
547C22×C4×C13—21no—
548C22×C4×C13—21no—
549C22×C4×C13—21no—
550C22×C4×C13—21no—
551C22×C4×C13—21no—
552C22×C4×C13—21no—
553C22×C4×C13—21no—
554C22×C4×C13—21no—
555C22×C4×C13—21no—
556C22×C4×C13—21no—
557C22×C4×C13—21no—
558C22×C4×C13—21no—
559C22×C4×C13—21no—
560C22×C4×C13—21no—
561C22×C4×C13—21no—
562C22×C4×C13—21no—
563C22×C4×C13—21no—
564C22×C4×C13—82no—
565C22×C4×C13—82no—
566C22×C4×C13C2×D411yescharacteristic
567C22×C4×C13C2×D411yescharacteristic
568C22×C4×C13C2×D411yescharacteristic
569C22×C4×C13C2×D411yescharacteristic
570C22×C4×C13C2×D411yescharacteristic
571C22×C4×C13C2×D411yescharacteristic
572C22×C4×C13C2411yescharacteristic
573C22×C4×C13C2411yescharacteristic
574C22×C4×C13C2411yescharacteristic
575C13×Q16—41no—
576C13×Q16—41no—
577C13×Q16—41no—
578C13×SD16—22no—
579C13×SD16—22no—
580C13×SD16—22no—
581C13×SD16—41no—
582C13×SD16—41no—
583C13×SD16—41no—
584C13×SD16—41no—
585C13×SD16—41no—
586C13×SD16—41no—
587C13×SD16—41no—
588C13×SD16—41no—
589C13×SD16—41no—
590C13×D8—22no—
591C13×D8—22no—
592C13×D8—22no—
593C13×D8—41no—
594C13×D8—41no—
595C13×D8—41no—
596C13×D8—41no—
597C13×D8—41no—
598C13×D8—41no—
599C13×M16—41no—
600C13×M16—41no—
601C13×M16—41no—
602C13×M16—41no—
603C2×C8×C13—41no—
604C2×C8×C13—41no—
605C2×C8×C13C2411yescharacteristic
606C2×C8×C13C2411yescharacteristic
607C2×C8×C13C2411yescharacteristic
608C2×C8×C13C2411yescharacteristic
609C2×C8×C13C2411yescharacteristic
610C2×C8×C13C2411yescharacteristic
611C2×C8×C13C2411yescharacteristic
612C2×C8×C13C2411yescharacteristic
613C13×C4⋊C4—21no—
614C13×C4⋊C4—21no—
615C13×C4⋊C4—21no—
616C13×C4⋊C4—21no—
617C13×C4⋊C4—21no—
618C13×C4⋊C4—21no—
619C13×C4⋊C4—21no—
620C13×C4⋊C4—21no—
621C13×C4⋊C4—21no—
622C13×C4⋊C4—21no—
623C13×C4⋊C4—21no—
624C13×C4⋊C4—21no—
625C13×C4⋊C4—21no—
626C13×C4⋊C4—21no—
627C13×C4⋊C4—21no—
628C13×C4⋊C4—21no—
629C13×C4⋊C4—21no—
630C13×C4⋊C4—21no—
631C13×C4⋊C4—21no—
632C13×C4⋊C4—21no—
633C13×C4⋊C4—21no—
634C13×C4⋊C4C2×D411yescharacteristic
635C13×C4⋊C4C2×D411yescharacteristic
636C13×C4⋊C4C2×D411yescharacteristic
637C13×C4⋊C4C2×D411yescharacteristic
638C13×C4⋊C4C2×D411yescharacteristic
639C13×C4⋊C4C2×D411yescharacteristic
640C13×C4⋊C4C2411yescharacteristic
641C13×C4⋊C4C2411yescharacteristic
642C13×C4⋊C4C2411yescharacteristic
643C13×C4⋊C4C2411yescharacteristic
644C13×C4⋊C4C2411yescharacteristic
645C13×C4⋊C4C2411yescharacteristic
646C13×C22⋊C4—21no—
647C13×C22⋊C4—21no—
648C13×C22⋊C4—21no—
649C13×C22⋊C4—21no—
650C13×C22⋊C4—21no—
651C13×C22⋊C4—21no—
652C13×C22⋊C4—21no—
653C13×C22⋊C4—21no—
654C13×C22⋊C4—21no—
655C13×C22⋊C4—21no—
656C13×C22⋊C4—21no—
657C13×C22⋊C4—21no—
658C13×C22⋊C4—21no—
659C13×C22⋊C4—21no—
660C13×C22⋊C4—21no—
661C13×C22⋊C4—21no—
662C13×C22⋊C4—21no—
663C13×C22⋊C4—21no—
664C13×C22⋊C4—21no—
665C13×C22⋊C4—21no—
666C13×C22⋊C4—21no—
667C13×C22⋊C4—21no—
668C13×C22⋊C4—21no—
669C13×C22⋊C4—21no—
670C13×C22⋊C4—21no—
671C13×C22⋊C4—21no—
672C13×C22⋊C4—21no—
673C13×C22⋊C4—21no—
674C13×C22⋊C4—21no—
675C13×C22⋊C4—21no—
676C13×C22⋊C4—21no—
677C13×C22⋊C4—21no—
678C13×C22⋊C4—21no—
679C13×C22⋊C4—21no—
680C13×C22⋊C4—21no—
681C13×C22⋊C4—21no—
682C13×C22⋊C4—21no—
683C13×C22⋊C4—21no—
684C13×C22⋊C4—21no—
685C13×C22⋊C4—21no—
686C13×C22⋊C4—21no—
687C13×C22⋊C4—21no—
688C13×C22⋊C4C2×D411yescharacteristic
689C13×C22⋊C4C2×D411yescharacteristic
690C13×C22⋊C4C2×D411yescharacteristic
691C13×C22⋊C4C2×D411yescharacteristic
692C13×C22⋊C4C2×D411yescharacteristic
693C13×C22⋊C4C2×D411yescharacteristic
694C42×C13—21no—
695C42×C13—21no—
696C42×C13—21no—
697C42×C13—21no—
698C42×C13—21no—
699C42×C13—21no—
700C42×C13C2×D411yescharacteristic
701C42×C13C2×D411yescharacteristic
702C42×C13C2×D411yescharacteristic
703C42×C13C2×D411yescharacteristic
704C42×C13C2×D411yescharacteristic
705C42×C13C2×D411yescharacteristic
706C42×C13C2411yescharacteristic
707C42×C13C2411yescharacteristic
708C42×C13C2411yescharacteristic
709C42×C13C2411yescharacteristic
710#3514C2×C1311yescharacteristic, complemented
711#3481C2×C1311yescharacteristic, complemented
712#3403C2×C1311yescharacteristic, complemented
713#3401C2×C1311yescharacteristic, complemented
714#3376C2×C1311yescharacteristic, complemented
715#3370C2×C1311yescharacteristic, complemented
716#3326C2×C1311yescharacteristic, complemented
717#3322C2×C1311yescharacteristic, complemented
718#3320C2×C1311yescharacteristic, complemented
719#3318C2×C1311yescharacteristic, complemented
720#3316C2×C1311yescharacteristic, complemented
721#3314C2×C1311yescharacteristic, complemented
722#3275C2×C1311yescharacteristic, complemented
723#3273C2×C1311yescharacteristic, complemented
724#3266C2×C1311yescharacteristic, complemented
725#3265C2×C1311yescharacteristic, complemented
726#3264C2×C1311yescharacteristic, complemented
727#3264C2×C1311yescharacteristic, complemented
728#3256C2×C1311yescharacteristic, complemented
729#3251C2×C1311yescharacteristic, complemented
730#3250C2×C1311yescharacteristic, complemented
731#3219C2×C1311yescharacteristic, complemented
732#3213C2×C1311yescharacteristic, complemented
733#3211C2×C1311yescharacteristic, complemented
734#3114C2×C1311yescharacteristic, complemented
735#3111C2×C1311yescharacteristic, complemented
736#3105C2×C1311yescharacteristic, complemented
737#3040C2×C1311yescharacteristic, complemented
738#3036C2×C1311yescharacteristic, complemented
739C2×#463C2×C1311yescharacteristic, complemented
740#2989C2×C1311yescharacteristic, complemented
741C23×C13—21no—
742C23×C13—21no—
743C23×C13—21no—
744C23×C13—21no—
745C23×C13—21no—
746C23×C13—21no—
747C23×C13—42no—
748C23×C13—42no—
749C23×C13—42no—
750C23×C13—42no—
751C23×C13—42no—
752C23×C13—42no—
753C23×C13—81no—
754C23×C13—81no—
755C23×C13—81no—
756C23×C13—81no—
757C23×C13—81no—
758C23×C13—81no—
759C23×C13C22×D411yescharacteristic
760C23×C13C22×D411yescharacteristic
761C23×C13C22×D411yescharacteristic
762Q8×C13—21no—
763Q8×C13—21no—
764Q8×C13—21no—
765Q8×C13—21no—
766Q8×C13—21no—
767Q8×C13—21no—
768Q8×C13—21no—
769Q8×C13—21no—
770Q8×C13—41no—
771Q8×C13—81no—
772Q8×C13—81no—
773Q8×C13—81no—
774D4×C13—22no—
775D4×C13—22no—
776D4×C13—21no—
777D4×C13—21no—
778D4×C13—21no—
779D4×C13—21no—
780D4×C13—21no—
781D4×C13—21no—
782D4×C13—21no—
783D4×C13—21no—
784D4×C13—21no—
785D4×C13—21no—
786D4×C13—21no—
787D4×C13—41no—
788D4×C13—42no—
789D4×C13—42no—
790D4×C13—42no—
791D4×C13—42no—
792D4×C13—42no—
793D4×C13—42no—
794D4×C13—42no—
795D4×C13—42no—
796D4×C13—42no—
797D4×C13—81no—
798D4×C13—81no—
799D4×C13—81no—
800D4×C13—81no—
801D4×C13—81no—
802D4×C13—81no—
803D4×C13—81no—
804D4×C13—81no—
805D4×C13—81no—
806D4×C13H(5,𝔽2)12yes—
807C2×C4×C13—22no—
808C2×C4×C13—21no—
809C2×C4×C13—21no—
810C2×C4×C13—21no—
811C2×C4×C13—21no—
812C2×C4×C13—21no—
813C2×C4×C13—21no—
814C2×C4×C13—21no—
815C2×C4×C13—21no—
816C2×C4×C13—21no—
817C2×C4×C13—21no—
818C2×C4×C13—21no—
819C2×C4×C13—21no—
820C2×C4×C13—21no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
824C2×C4×C13—41no—
825C2×C4×C13—41no—
826C2×C4×C13—41no—
827C2×C4×C13—41no—
828C2×C4×C13—41no—
829C2×C4×C13—42no—
830C2×C4×C13—42no—
831C2×C4×C13—42no—
832C2×C4×C13—42no—
833C2×C4×C13—42no—
834C2×C4×C13—42no—
835C2×C4×C13—81no—
836C2×C4×C13—81no—
837C2×C4×C13—81no—
838C2×C4×C13—81no—
839C2×C4×C13—81no—
840C2×C4×C13—81no—
841C2×C4×C13—81no—
842C2×C4×C13—81no—
843C2×C4×C13—81no—
844C2×C4×C13—81no—
845C2×C4×C13—81no—
846C2×C4×C13—81no—
847C2×C4×C13C22×D411yescharacteristic
848C2×C4×C13C22×D411yescharacteristic
849C2×C4×C13C22×D411yescharacteristic
850C2×C4×C13C22×D411yescharacteristic
851C2×C4×C13C22×D411yescharacteristic
852C2×C4×C13C22×D411yescharacteristic
853C2×C4×C13C22×D411yescharacteristic
854C2×C4×C13C22×D411yescharacteristic
855C2×C4×C13C22×D411yescharacteristic
856C2×C4×C13C22×D411yescharacteristic
857C2×C4×C13C22×D411yescharacteristic
858C2×C4×C13C2511yescharacteristic
859C8×C13—21no—
860C8×C13—21no—
861C8×C13—21no—
862C8×C13—21no—
863C8×C13—21no—
864C8×C13—21no—
865C8×C13—21no—
866C8×C13—21no—
867C2×#137C22×C1311yescharacteristic, complemented
868C2×AGL(1,ℤ/8)C22×C1311yescharacteristic
869C2×AGL(1,ℤ/8)C22×C1311yescharacteristic, complemented
870C2×AGL(1,ℤ/8)C22×C1311yescharacteristic, complemented
871C22×SD16C22×C1311yescharacteristic, complemented
872C22×D8C22×C1311yescharacteristic
873#559C22×C1311yescharacteristic, complemented
874#559C22×C1311yescharacteristic, complemented
875#556C22×C1311yescharacteristic, complemented
876#555—21no—
877#554C22×C1311yescharacteristic, complemented
878#554C22×C1311yescharacteristic, complemented
879#553—21no—
880#553C22×C1311yescharacteristic
881#553C22×C1311yescharacteristic, complemented
882#551—21no—
883#551—21no—
884#551—21no—
885#551—21no—
886D4×Q8C22×C1311yescharacteristic, complemented
887#548C22×C1311yescharacteristic
888#548C22×C1311yescharacteristic, complemented
889#546—21no—
890#546—21no—
891#546C22×C1311yescharacteristic
892#546C22×C1311yescharacteristic
893#546C22×C1311yescharacteristic, complemented
894#546C22×C1311yescharacteristic, complemented
895D42C22×C1311yescharacteristic, complemented
896D42C22×C1311yescharacteristic, complemented
897#542—21no—
898#538—21no—
899#538—21no—
900#532C22×C1311yescharacteristic, complemented
901#532C22×C1311yescharacteristic, complemented
902#529—21no—
903#529C22×C1311yescharacteristic, complemented
904#529C22×C1311yescharacteristic, complemented
905#529C22×C1311yescharacteristic, complemented
906#529C22×C1311yescharacteristic, complemented
907#529C22×C1311yescharacteristic, complemented
908C2×#124C22×C1311yescharacteristic, complemented
909C2×#124C22×C1311yescharacteristic, complemented
910#525—21no—
911#525—21no—
912#518—21no—
913C4×#41C22×C1311yescharacteristic
914C4×#41C22×C1311yescharacteristic, complemented
915C2×C4×D4—21no—
916C2×C4×D4C22×C1311yescharacteristic, complemented
917C2×C4×D4C22×C1311yescharacteristic, complemented
918#497C22×C1311yescharacteristic, complemented
919#496C22×C1311yescharacteristic
920#496C22×C1311yescharacteristic, complemented
921#496C22×C1311yescharacteristic, complemented
922#495C22×C1311yescharacteristic, complemented
923#495C22×C1311yescharacteristic, complemented
924#491C22×C1311yescharacteristic, complemented
925#490C22×C1311yescharacteristic, complemented
926#489C22×C1311yescharacteristic, complemented
927#489C22×C1311yescharacteristic, complemented
928#488C22×C1311yescharacteristic, complemented
929#488C22×C1311yescharacteristic, complemented
930#485C22×C1311yescharacteristic, complemented
931#484C22×C1311yescharacteristic, complemented
932#483C22×C1311yescharacteristic, complemented
933#482C22×C1311yescharacteristic, complemented
934#481C22×C1311yescharacteristic, complemented
935#480C22×C1311yescharacteristic, complemented
936#479C22×C1311yescharacteristic, complemented
937#479C22×C1311yescharacteristic, complemented
938#479C22×C1311yescharacteristic, complemented
939#478C22×C1311yescharacteristic, complemented
940#478C22×C1311yescharacteristic, complemented
941#478C22×C1311yescharacteristic, complemented
942#478C22×C1311yescharacteristic, complemented
943#478C22×C1311yescharacteristic, complemented
944#475C22×C1311yescharacteristic, complemented
945#474C22×C1311yescharacteristic, complemented
946#470C22×C1311yescharacteristic, complemented
947#469C22×C1311yescharacteristic
948#469C22×C1311yescharacteristic, complemented
949#469C22×C1311yescharacteristic, complemented
950#468C22×C1311yescharacteristic, complemented
951#468C22×C1311yescharacteristic, complemented
952#468C22×C1311yescharacteristic, complemented
953#468C22×C1311yescharacteristic, complemented
954#467C22×C1311yescharacteristic, complemented
955#466C22×C1311yescharacteristic
956#465C22×C1311yescharacteristic, complemented
957#465C22×C1311yescharacteristic, complemented
958#464C22×C1311yescharacteristic, complemented
959#464C22×C1311yescharacteristic, complemented
960#464C22×C1311yescharacteristic, complemented
961#464C22×C1311yescharacteristic, complemented
962#464C22×C1311yescharacteristic, complemented
963#464C22×C1311yescharacteristic, complemented
964#464C22×C1311yescharacteristic, complemented
965#463C22×C1311yescharacteristic
966#463C22×C1311yescharacteristic
967#463C22×C1311yescharacteristic
968#463C22×C1311yescharacteristic, complemented
969#463C22×C1311yescharacteristic, complemented
970#463C22×C1311yescharacteristic, complemented
971#463C22×C1311yescharacteristic, complemented
972#463C22×C1311yescharacteristic, complemented
973#463C22×C1311yescharacteristic, complemented
974#463C22×C1311yescharacteristic, complemented
975#463C22×C1311yescharacteristic, complemented
976#463C22×C1311yescharacteristic, complemented
977#463C22×C1311yescharacteristic, complemented
978#463C22×C1311yescharacteristic, complemented
979#463C22×C1311yescharacteristic, complemented
980#463C22×C1311yescharacteristic, complemented
981#463C22×C1311yescharacteristic, complemented
982#461C22×C1311yescharacteristic, complemented
983#461C22×C1311yescharacteristic, complemented
984#460C22×C1311yescharacteristic, complemented
985#459C22×C1311yescharacteristic
986#459C22×C1311yescharacteristic, complemented
987#459C22×C1311yescharacteristic, complemented
988#452C22×C1311yescharacteristic, complemented
989#452C22×C1311yescharacteristic, complemented
990#452C22×C1311yescharacteristic, complemented
991#451C22×C1311yescharacteristic, complemented
992#450C22×C1311yescharacteristic, complemented
993#450C22×C1311yescharacteristic, complemented
994#450C22×C1311yescharacteristic, complemented
995#449C22×C1311yescharacteristic
996#449C22×C1311yescharacteristic, complemented
997#449C22×C1311yescharacteristic, complemented
998#448C22×C1311yescharacteristic, complemented
999#448C22×C1311yescharacteristic, complemented
1000#448C22×C1311yescharacteristic, complemented
1001#447C22×C1311yescharacteristic
1002#447C22×C1311yescharacteristic
1003#447C22×C1311yescharacteristic
1004#447C22×C1311yescharacteristic, complemented
1005#447C22×C1311yescharacteristic, complemented
1006#446C22×C1311yescharacteristic, complemented
1007#446C22×C1311yescharacteristic, complemented
1008#442C22×C1311yescharacteristic
1009#442C22×C1311yescharacteristic, complemented
1010#442C22×C1311yescharacteristic, complemented
1011#441C22×C1311yescharacteristic, complemented
1012#440C22×C1311yescharacteristic, complemented
1013#440C22×C1311yescharacteristic, complemented
1014#440C22×C1311yescharacteristic, complemented
1015#440C22×C1311yescharacteristic, complemented
1016C4×SD16C22×C1311yescharacteristic, complemented
1017C4×SD16C22×C1311yescharacteristic, complemented
1018C4×D8C22×C1311yescharacteristic, complemented
1019C4×D8C22×C1311yescharacteristic, complemented
1020#436C22×C1311yescharacteristic, complemented
1021#436C22×C1311yescharacteristic, complemented
1022#435C22×C1311yescharacteristic, complemented
1023#435C22×C1311yescharacteristic, complemented
1024#435C22×C1311yescharacteristic, complemented
1025#435C22×C1311yescharacteristic, complemented
1026#432C22×C1311yescharacteristic, complemented
1027#432C22×C1311yescharacteristic, complemented
1028#431C22×C1311yescharacteristic, complemented
1029#423C22×C1311yescharacteristic, complemented
1030#423C22×C1311yescharacteristic, complemented
1031C2×C4⋊C8C22×C1311yescharacteristic, complemented
1032#419C22×C1311yescharacteristic, complemented
1033#418C22×C1311yescharacteristic, complemented
1034#417C22×C1311yescharacteristic, complemented
1035#417C22×C1311yescharacteristic, complemented
1036C2×#103C22×C1311yescharacteristic, complemented
1037C2×#102C22×C1311yescharacteristic, complemented
1038C22×C13—21no—
1039C22×C13—21no—
1040C22×C13—21no—
1041C22×C13—21no—
1042C22×C13—21no—
1043C22×C13—21no—
1044C22×C13—22no—
1045C22×C13—21no—
1046C22×C13—21no—
1047C22×C13—41no—
1048C22×C13—41no—
1049C22×C13—41no—
1050C22×C13—41no—
1051C22×C13—41no—
1052C22×C13—41no—
1053C22×C13—41no—
1054C22×C13—41no—
1055C22×C13—41no—
1056C22×C13—41no—
1057C22×C13—41no—
1058C22×C13—41no—
1059C22×C13—41no—
1060C22×C13—41no—
1061C22×C13—41no—
1062C22×C13—41no—
1063C22×C13—41no—
1064C22×C13—84no—
1065C22×C13—84no—
1066C22×C13—162no—
1067C22×C13—162no—
1068C22×C13#57512yes—
1069C22×C13C23×D411yescharacteristic
1070C4×C13—21no—
1071C4×C13—21no—
1072C4×C13—21no—
1073C4×C13—21no—
1074C4×C13—21no—
1075C4×C13—21no—
1076C4×C13—21no—
1077C4×C13—21no—
1078C4×C13—21no—
1079C4×C13—21no—
1080C4×C13—21no—
1081C4×C13—41no—
1082C4×C13—41no—
1083C4×C13—41no—
1084C4×C13—41no—
1085C4×C13—41no—
1086C4×C13—41no—
1087C4×C13—41no—
1088C4×C13—41no—
1089C4×C13—41no—
1090C4×C13—41no—
1091C4×C13C2×H(5,𝔽2)11yescharacteristic
1092C4×C13#58511yescharacteristic
1093C2×#41—21no—
1094C2×#41D4×C1311yescharacteristic
1095C2×#41C23×C1311yescharacteristic
1096C2×#41C23×C1311yescharacteristic
1097C2×#41C23×C1311yescharacteristic
1098C22×Q8C23×C1311yescharacteristic
1099C22×Q8C23×C1311yescharacteristic
1100C22×D4—21no—
1101C22×D4—21no—
1102C22×D4C23×C1311yescharacteristic
1103C22×D4C23×C1311yescharacteristic
1104C22×D4C23×C1311yescharacteristic
1105C22×D4C23×C1311yescharacteristic
1106C23×C4—21no—
1107C23×C4—21no—
1108#137—42no—
1109AGL(1,ℤ/8)—42no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—42no—
1112C2×Q16C23×C1311yescharacteristic
1113C2×Q16C23×C1311yescharacteristic
1114C2×Q16C23×C1311yescharacteristic
1115C2×SD16—42no—
1116C2×SD16C23×C1311yescharacteristic
1117C2×SD16C23×C1311yescharacteristic
1118C2×SD16C23×C1311yescharacteristic
1119C2×SD16C23×C1311yescharacteristic
1120C2×SD16C23×C1311yescharacteristic
1121C2×SD16C23×C1311yescharacteristic
1122C2×SD16C23×C1311yescharacteristic
1123C2×SD16C23×C1311yescharacteristic
1124C2×SD16C23×C1311yescharacteristic
1125C2×SD16C23×C1311yescharacteristic
1126C2×SD16C23×C1311yescharacteristic
1127C2×SD16C23×C1311yescharacteristic
1128C2×D8—42no—
1129C2×D8C23×C1311yescharacteristic
1130C2×D8C23×C1311yescharacteristic
1131C2×D8C23×C1311yescharacteristic
1132C2×D8C23×C1311yescharacteristic
1133C2×D8C23×C1311yescharacteristic
1134C2×D8C23×C1311yescharacteristic
1135C2×D8C23×C1311yescharacteristic
1136C2×D8C23×C1311yescharacteristic
1137C2×D8C23×C1311yescharacteristic
1138C2×M16C23×C1311yescharacteristic
1139C2×M16C23×C1311yescharacteristic
1140C2×M16C23×C1311yescharacteristic
1141C2×M16C23×C1311yescharacteristic
1142C22×C8C23×C1311yescharacteristic
1143C22×C8C23×C1311yescharacteristic
1144C4⋊Q8—21no—
1145C4⋊Q8C23×C1311yescharacteristic
1146C4⋊Q8C23×C1311yescharacteristic
1147#127C23×C1311yescharacteristic
1148#127C23×C1311yescharacteristic
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#125—21no—
1159#125C23×C1311yescharacteristic
1160#125C23×C1311yescharacteristic
1161#125C23×C1311yescharacteristic
1162#124—21no—
1163#124—21no—
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124C23×C1311yescharacteristic
1172#124C23×C1311yescharacteristic
1173#124C23×C1311yescharacteristic
1174#124C23×C1311yescharacteristic
1175#124C23×C1311yescharacteristic
1176#124C23×C1311yescharacteristic
1177#124C23×C1311yescharacteristic
1178#124C23×C1311yescharacteristic
1179#124C23×C1311yescharacteristic
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8C23×C1311yescharacteristic
1206C22⋊Q8C23×C1311yescharacteristic
1207C22⋊Q8C23×C1311yescharacteristic
1208C22⋊Q8C23×C1311yescharacteristic
1209C22⋊Q8C23×C1311yescharacteristic
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121C23×C1311yescharacteristic
1224#121C23×C1311yescharacteristic
1225#121C23×C1311yescharacteristic
1226#121C23×C1311yescharacteristic
1227#121C23×C1311yescharacteristic
1228#121C23×C1311yescharacteristic
1229#121C23×C1311yescharacteristic
1230#120—21no—
1231#120—21no—
1232#120—21no—
1233#120—21no—
1234#120—21no—
1235#120—21no—
1236#120—21no—
1237#120—21no—
1238C4×Q8D4×C1311yescharacteristic
1239C4×Q8C23×C1311yescharacteristic
1240C4×Q8C23×C1311yescharacteristic
1241C4×Q8C23×C1311yescharacteristic
1242C4×Q8C23×C1311yescharacteristic
1243C4×Q8C23×C1311yescharacteristic
1244C4×Q8C23×C1311yescharacteristic
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4D4×C1311yescharacteristic
1268C4×D4D4×C1311yescharacteristic
1269C4×D4D4×C1311yescharacteristic
1270C4×D4C23×C1311yescharacteristic
1271C4×D4C23×C1311yescharacteristic
1272C4×D4C23×C1311yescharacteristic
1273C4×D4C23×C1311yescharacteristic
1274C4×D4C23×C1311yescharacteristic
1275C4×D4C23×C1311yescharacteristic
1276C4×D4C23×C1311yescharacteristic
1277C4×D4C23×C1311yescharacteristic
1278C4×D4C23×C1311yescharacteristic
1279C4×D4C23×C1311yescharacteristic
1280C4×D4C23×C1311yescharacteristic
1281C4×D4C23×C1311yescharacteristic
1282C4×D4C23×C1311yescharacteristic
1283C4×D4C23×C1311yescharacteristic
1284#117—21no—
1285#117—21no—
1286#117—21no—
1287#117—21no—
1288#117—21no—
1289#117—21no—
1290#117—21no—
1291#117D4×C1311yescharacteristic
1292#117D4×C1311yescharacteristic
1293#117D4×C1311yescharacteristic
1294#117C23×C1311yescharacteristic
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4C23×C1311yescharacteristic
1297C2×C4⋊C4C23×C1311yescharacteristic
1298C2×C22⋊C4—21no—
1299C2×C22⋊C4—21no—
1300C2×C22⋊C4—21no—
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C22⋊C4—21no—
1308C2×C42—21no—
1309C2×C42C23×C1311yescharacteristic
1310C2×C42C23×C1311yescharacteristic
1311C2×C42C23×C1311yescharacteristic
1312#107C23×C1311yescharacteristic
1313#107C23×C1311yescharacteristic
1314#107C23×C1311yescharacteristic
1315#107C23×C1311yescharacteristic
1316#106C23×C1311yescharacteristic
1317#106C23×C1311yescharacteristic
1318#106C23×C1311yescharacteristic
1319#106C23×C1311yescharacteristic
1320C4⋊C8C23×C1311yescharacteristic
1321C4⋊C8C23×C1311yescharacteristic
1322C4⋊C8C23×C1311yescharacteristic
1323C4⋊C8C23×C1311yescharacteristic
1324C4⋊C8C23×C1311yescharacteristic
1325C4⋊C8C23×C1311yescharacteristic
1326C4⋊C8C23×C1311yescharacteristic
1327C4⋊C8C23×C1311yescharacteristic
1328C4⋊C8C23×C1311yescharacteristic
1329C4⋊C8C23×C1311yescharacteristic
1330#103C23×C1311yescharacteristic
1331#103C23×C1311yescharacteristic
1332#103C23×C1311yescharacteristic
1333#103C23×C1311yescharacteristic
1334#103C23×C1311yescharacteristic
1335#103C23×C1311yescharacteristic
1336#103C23×C1311yescharacteristic
1337#103C23×C1311yescharacteristic
1338#103C23×C1311yescharacteristic
1339#103C23×C1311yescharacteristic
1340#103C23×C1311yescharacteristic
1341#103C23×C1311yescharacteristic
1342#103C23×C1311yescharacteristic
1343#103C23×C1311yescharacteristic
1344#102C23×C1311yescharacteristic
1345#102C23×C1311yescharacteristic
1346#102C23×C1311yescharacteristic
1347#102C23×C1311yescharacteristic
1348#102C23×C1311yescharacteristic
1349#102C23×C1311yescharacteristic
1350#102C23×C1311yescharacteristic
1351#102C23×C1311yescharacteristic
1352#102C23×C1311yescharacteristic
1353#102C23×C1311yescharacteristic
1354#102C23×C1311yescharacteristic
1355#102C23×C1311yescharacteristic
1356#102C23×C1311yescharacteristic
1357#102C23×C1311yescharacteristic
1358#102C23×C1311yescharacteristic
1359#102C23×C1311yescharacteristic
1360#102C23×C1311yescharacteristic
1361#102C23×C1311yescharacteristic
1362C22⋊C8C23×C1311yescharacteristic
1363C22⋊C8C23×C1311yescharacteristic
1364C22⋊C8C23×C1311yescharacteristic
1365C22⋊C8C23×C1311yescharacteristic
1366C22⋊C8C23×C1311yescharacteristic
1367C22⋊C8C23×C1311yescharacteristic
1368#97C23×C1311yescharacteristic
1369#97C23×C1311yescharacteristic
1370#97C23×C1311yescharacteristic
1371#97C23×C1311yescharacteristic
1372C4×C8C23×C1311yescharacteristic
1373C4×C8C23×C1311yescharacteristic
1374C2×C13—22no—
1375C2×C13—41no—
1376C2×C13—41no—
1377C2×C13—42no—
1378C2×C13—81no—
1379C2×C13—81no—
1380C2×C13—81no—
1381C2×C13—81no—
1382C2×C13—81no—
1383C2×C13#348811yescharacteristic
1384C2×C13C2×#57511yescharacteristic
1385C2×C13#358511yescharacteristic
1386C24—21no—
1387C24—21no—
1388C24—21no—
1389C24—21no—
1390#41—22no—
1391#41—42no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—41no—
1396#41—41no—
1397#41—82no—
1398C2×Q8—21no—
1399C2×Q8—21no—
1400C2×Q8—21no—
1401C2×Q8—41no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—41no—
1405C2×Q8C2×D4×C1311yescharacteristic
1406C2×Q8C24×C1311yescharacteristic
1407C2×Q8C24×C1311yescharacteristic
1408C2×Q8C24×C1311yescharacteristic
1409C2×Q8C24×C1311yescharacteristic
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4C2×D4×C1311yescharacteristic
1439C2×D4C2×D4×C1311yescharacteristic
1440C2×D4C2×D4×C1311yescharacteristic
1441C2×D4C24×C1311yescharacteristic
1442C2×D4C24×C1311yescharacteristic
1443C2×D4C24×C1311yescharacteristic
1444C2×D4C24×C1311yescharacteristic
1445C2×D4C24×C1311yescharacteristic
1446C2×D4C24×C1311yescharacteristic
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—82no—
1466C22×C4—82no—
1467C22×C4C2×D4×C1311yescharacteristic
1468C22×C4C2×D4×C1311yescharacteristic
1469C22×C4C2×D4×C1311yescharacteristic
1470C22×C4C2×D4×C1311yescharacteristic
1471C22×C4C2×D4×C1311yescharacteristic
1472C22×C4C2×D4×C1311yescharacteristic
1473C22×C4C24×C1311yescharacteristic
1474C22×C4C24×C1311yescharacteristic
1475C22×C4C24×C1311yescharacteristic
1476Q16—41no—
1477Q16—41no—
1478Q16—41no—
1479SD16—22no—
1480SD16—22no—
1481SD16—22no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—41no—
1488SD16—41no—
1489SD16—41no—
1490SD16—41no—
1491D8—22no—
1492D8—22no—
1493D8—22no—
1494D8—41no—
1495D8—41no—
1496D8—41no—
1497D8—41no—
1498D8—41no—
1499D8—41no—
1500M16—41no—
1501M16—41no—
1502M16—41no—
1503M16—41no—
1504C2×C8—41no—
1505C2×C8—41no—
1506C2×C8C24×C1311yescharacteristic
1507C2×C8C24×C1311yescharacteristic
1508C2×C8C24×C1311yescharacteristic
1509C2×C8C24×C1311yescharacteristic
1510C2×C8C24×C1311yescharacteristic
1511C2×C8C24×C1311yescharacteristic
1512C2×C8C24×C1311yescharacteristic
1513C2×C8C24×C1311yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4C2×D4×C1311yescharacteristic
1536C4⋊C4C2×D4×C1311yescharacteristic
1537C4⋊C4C2×D4×C1311yescharacteristic
1538C4⋊C4C2×D4×C1311yescharacteristic
1539C4⋊C4C2×D4×C1311yescharacteristic
1540C4⋊C4C2×D4×C1311yescharacteristic
1541C4⋊C4C24×C1311yescharacteristic
1542C4⋊C4C24×C1311yescharacteristic
1543C4⋊C4C24×C1311yescharacteristic
1544C4⋊C4C24×C1311yescharacteristic
1545C4⋊C4C24×C1311yescharacteristic
1546C4⋊C4C24×C1311yescharacteristic
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4C2×D4×C1311yescharacteristic
1590C22⋊C4C2×D4×C1311yescharacteristic
1591C22⋊C4C2×D4×C1311yescharacteristic
1592C22⋊C4C2×D4×C1311yescharacteristic
1593C22⋊C4C2×D4×C1311yescharacteristic
1594C22⋊C4C2×D4×C1311yescharacteristic
1595C42—21no—
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—21no—
1600C42—21no—
1601C42C2×D4×C1311yescharacteristic
1602C42C2×D4×C1311yescharacteristic
1603C42C2×D4×C1311yescharacteristic
1604C42C2×D4×C1311yescharacteristic
1605C42C2×D4×C1311yescharacteristic
1606C42C2×D4×C1311yescharacteristic
1607C42C24×C1311yescharacteristic
1608C42C24×C1311yescharacteristic
1609C42C24×C1311yescharacteristic
1610C42C24×C1311yescharacteristic
1611C13#6197111yescharacteristic, direct product factor, Sylow
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—42no—
1619C23—42no—
1620C23—42no—
1621C23—42no—
1622C23—42no—
1623C23—42no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23C22×D4×C1311yescharacteristic
1631C23C22×D4×C1311yescharacteristic
1632C23C22×D4×C1311yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—41no—
1642Q8—81no—
1643Q8—81no—
1644Q8—81no—
1645D4—22no—
1646D4—22no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—41no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4C13×H(5,𝔽2)12yes—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4C22×D4×C1311yescharacteristic
1719C2×C4C22×D4×C1311yescharacteristic
1720C2×C4C22×D4×C1311yescharacteristic
1721C2×C4C22×D4×C1311yescharacteristic
1722C2×C4C22×D4×C1311yescharacteristic
1723C2×C4C22×D4×C1311yescharacteristic
1724C2×C4C22×D4×C1311yescharacteristic
1725C2×C4C22×D4×C1311yescharacteristic
1726C2×C4C22×D4×C1311yescharacteristic
1727C2×C4C22×D4×C1311yescharacteristic
1728C2×C4C22×D4×C1311yescharacteristic
1729C2×C4C25×C1311yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—21no—
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—22no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—84no—
1765C22—84no—
1766C22—162no—
1767C22—162no—
1768C22C13×#57512yes—
1769C22C23×D4×C1311yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4C2×C13×H(5,𝔽2)11yescharacteristic
1792C4C13×#58511yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—81no—
1802C2C13×#348811yescharacteristic
1803C2C2×C13×#57511yescharacteristic
1804C2C13×#358511yescharacteristic
subgroupG/H
center, socleC22×C13C23×D4
commutator, Frattini, cosocleC2×C4C25×C13
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C13 ◁ C4×C13×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3514C2semidirect
2. C13×#3481C2semidirect
3. C13×#3403C2semidirect
4. C13×#3401C2semidirect
5. C13×#3376C2semidirect
6. C13×#3370C2semidirect
7. C13×#3326C2semidirect
8. C13×#3322C2semidirect
9. C13×#3320C2semidirect
10. C13×#3318C2semidirect
11. C13×#3316C2semidirect
12. C13×#3314C2semidirect
13. C13×#3275C2semidirect
14. C13×#3273C2semidirect
15. C13×#3266C2semidirect
16. C13×#3265C2semidirect
17. C13×#3264C2semidirect
18. C13×#3264C2semidirect
19. C13×#3256C2semidirect
20. C13×#3251C2semidirect
21. C13×#3250C2semidirect
22. C13×#3219C2semidirect
23. C13×#3213C2semidirect
24. C13×#3211C2semidirect
25. C13×#3114C2semidirect
26. C13×#3111C2semidirect
27. C13×#3105C2semidirect
28. C13×#3040C2semidirect
29. C13×#3036C2semidirect
30. C2×C13×#463C2semidirect
31. C13×#2989C2semidirect
32. C2×C13×#137C22semidirect
34. C2×C13×AGL(1,ℤ/8)C22semidirect
35. C2×C13×AGL(1,ℤ/8)C22semidirect
36. C22×C13×SD16C22semidirect
38. C13×#559C22semidirect
39. C13×#559C22semidirect
40. C13×#556C22semidirect
42. C13×#554C22semidirect
43. C13×#554C22semidirect
46. C13×#553C22semidirect
51. D4×Q8×C13C22semidirect
53. C13×#548C22semidirect
58. C13×#546C22semidirect
59. C13×#546C22semidirect
60. D42×C13C22semidirect
61. D42×C13C22semidirect
65. C13×#532C22semidirect
66. C13×#532C22semidirect
68. C13×#529C22semidirect
69. C13×#529C22semidirect
70. C13×#529C22semidirect
71. C13×#529C22semidirect
72. C13×#529C22semidirect
73. C2×C13×#124C22semidirect
74. C2×C13×#124C22semidirect
79. C4×C13×#41C22semidirect
81. C2×C4×D4×C13C22semidirect
82. C2×C4×D4×C13C22semidirect
83. C13×#497C22semidirect
85. C13×#496C22semidirect
86. C13×#496C22semidirect
87. C13×#495C22semidirect
88. C13×#495C22semidirect
89. C13×#491C22semidirect
90. C13×#490C22semidirect
91. C13×#489C22semidirect
92. C13×#489C22semidirect
93. C13×#488C22semidirect
94. C13×#488C22semidirect
95. C13×#485C22semidirect
96. C13×#484C22semidirect
97. C13×#483C22semidirect
98. C13×#482C22semidirect
99. C13×#481C22semidirect
100. C13×#480C22semidirect
101. C13×#479C22semidirect
102. C13×#479C22semidirect
103. C13×#479C22semidirect
104. C13×#478C22semidirect
105. C13×#478C22semidirect
106. C13×#478C22semidirect
107. C13×#478C22semidirect
108. C13×#478C22semidirect
109. C13×#475C22semidirect
110. C13×#474C22semidirect
111. C13×#470C22semidirect
113. C13×#469C22semidirect
114. C13×#469C22semidirect
115. C13×#468C22semidirect
116. C13×#468C22semidirect
117. C13×#468C22semidirect
118. C13×#468C22semidirect
119. C13×#467C22semidirect
121. C13×#465C22semidirect
122. C13×#465C22semidirect
123. C13×#464C22semidirect
124. C13×#464C22semidirect
125. C13×#464C22semidirect
126. C13×#464C22semidirect
127. C13×#464C22semidirect
128. C13×#464C22semidirect
129. C13×#464C22semidirect
133. C13×#463C22semidirect
134. C13×#463C22semidirect
135. C13×#463C22semidirect
136. C13×#463C22semidirect
137. C13×#463C22semidirect
138. C13×#463C22semidirect
139. C13×#463C22semidirect
140. C13×#463C22semidirect
141. C13×#463C22semidirect
142. C13×#463C22semidirect
143. C13×#463C22semidirect
144. C13×#463C22semidirect
145. C13×#463C22semidirect
146. C13×#463C22semidirect
147. C13×#461C22semidirect
148. C13×#461C22semidirect
149. C13×#460C22semidirect
151. C13×#459C22semidirect
152. C13×#459C22semidirect
153. C13×#452C22semidirect
154. C13×#452C22semidirect
155. C13×#452C22semidirect
156. C13×#451C22semidirect
157. C13×#450C22semidirect
158. C13×#450C22semidirect
159. C13×#450C22semidirect
161. C13×#449C22semidirect
162. C13×#449C22semidirect
163. C13×#448C22semidirect
164. C13×#448C22semidirect
165. C13×#448C22semidirect
169. C13×#447C22semidirect
170. C13×#447C22semidirect
171. C13×#446C22semidirect
172. C13×#446C22semidirect
174. C13×#442C22semidirect
175. C13×#442C22semidirect
176. C13×#441C22semidirect
177. C13×#440C22semidirect
178. C13×#440C22semidirect
179. C13×#440C22semidirect
180. C13×#440C22semidirect
181. C4×C13×SD16C22semidirect
182. C4×C13×SD16C22semidirect
183. C4×C13×D8C22semidirect
184. C4×C13×D8C22semidirect
185. C13×#436C22semidirect
186. C13×#436C22semidirect
187. C13×#435C22semidirect
188. C13×#435C22semidirect
189. C13×#435C22semidirect
190. C13×#435C22semidirect
191. C13×#432C22semidirect
192. C13×#432C22semidirect
193. C13×#431C22semidirect
194. C13×#423C22semidirect
195. C13×#423C22semidirect
196. C2×C13×C4⋊C8C22semidirect
197. C13×#419C22semidirect
198. C13×#418C22semidirect
199. C13×#417C22semidirect
200. C13×#417C22semidirect
201. C2×C13×#103C22semidirect
202. C2×C13×#102C22semidirect
484. #61971C13direct (N × H)
710. #3514C2×C13semidirect
711. #3481C2×C13semidirect
712. #3403C2×C13semidirect
713. #3401C2×C13semidirect
714. #3376C2×C13semidirect
715. #3370C2×C13semidirect
716. #3326C2×C13semidirect
717. #3322C2×C13semidirect
718. #3320C2×C13semidirect
719. #3318C2×C13semidirect
720. #3316C2×C13semidirect
721. #3314C2×C13semidirect
722. #3275C2×C13semidirect
723. #3273C2×C13semidirect
724. #3266C2×C13semidirect
725. #3265C2×C13semidirect
726. #3264C2×C13semidirect
727. #3264C2×C13semidirect
728. #3256C2×C13semidirect
729. #3251C2×C13semidirect
730. #3250C2×C13semidirect
731. #3219C2×C13semidirect
732. #3213C2×C13semidirect
733. #3211C2×C13semidirect
734. #3114C2×C13semidirect
735. #3111C2×C13semidirect
736. #3105C2×C13semidirect
737. #3040C2×C13semidirect
738. #3036C2×C13semidirect
739. C2×#463C2×C13semidirect
740. #2989C2×C13semidirect
867. C2×#137C22×C13semidirect
869. C2×AGL(1,ℤ/8)C22×C13semidirect
870. C2×AGL(1,ℤ/8)C22×C13semidirect
871. C22×SD16C22×C13semidirect
873. #559C22×C13semidirect
874. #559C22×C13semidirect
875. #556C22×C13semidirect
877. #554C22×C13semidirect
878. #554C22×C13semidirect
881. #553C22×C13semidirect
886. D4×Q8C22×C13semidirect
888. #548C22×C13semidirect
893. #546C22×C13semidirect
894. #546C22×C13semidirect
895. D42C22×C13semidirect
896. D42C22×C13semidirect
900. #532C22×C13semidirect
901. #532C22×C13semidirect
903. #529C22×C13semidirect
904. #529C22×C13semidirect
905. #529C22×C13semidirect
906. #529C22×C13semidirect
907. #529C22×C13semidirect
908. C2×#124C22×C13semidirect
909. C2×#124C22×C13semidirect
914. C4×#41C22×C13semidirect
916. C2×C4×D4C22×C13semidirect
917. C2×C4×D4C22×C13semidirect
918. #497C22×C13semidirect
920. #496C22×C13semidirect
921. #496C22×C13semidirect
922. #495C22×C13semidirect
923. #495C22×C13semidirect
924. #491C22×C13semidirect
925. #490C22×C13semidirect
926. #489C22×C13semidirect
927. #489C22×C13semidirect
928. #488C22×C13semidirect
929. #488C22×C13semidirect
930. #485C22×C13semidirect
931. #484C22×C13semidirect
932. #483C22×C13semidirect
933. #482C22×C13semidirect
934. #481C22×C13semidirect
935. #480C22×C13semidirect
936. #479C22×C13semidirect
937. #479C22×C13semidirect
938. #479C22×C13semidirect
939. #478C22×C13semidirect
940. #478C22×C13semidirect
941. #478C22×C13semidirect
942. #478C22×C13semidirect
943. #478C22×C13semidirect
944. #475C22×C13semidirect
945. #474C22×C13semidirect
946. #470C22×C13semidirect
948. #469C22×C13semidirect
949. #469C22×C13semidirect
950. #468C22×C13semidirect
951. #468C22×C13semidirect
952. #468C22×C13semidirect
953. #468C22×C13semidirect
954. #467C22×C13semidirect
956. #465C22×C13semidirect
957. #465C22×C13semidirect
958. #464C22×C13semidirect
959. #464C22×C13semidirect
960. #464C22×C13semidirect
961. #464C22×C13semidirect
962. #464C22×C13semidirect
963. #464C22×C13semidirect
964. #464C22×C13semidirect
968. #463C22×C13semidirect
969. #463C22×C13semidirect
970. #463C22×C13semidirect
971. #463C22×C13semidirect
972. #463C22×C13semidirect
973. #463C22×C13semidirect
974. #463C22×C13semidirect
975. #463C22×C13semidirect
976. #463C22×C13semidirect
977. #463C22×C13semidirect
978. #463C22×C13semidirect
979. #463C22×C13semidirect
980. #463C22×C13semidirect
981. #463C22×C13semidirect
982. #461C22×C13semidirect
983. #461C22×C13semidirect
984. #460C22×C13semidirect
986. #459C22×C13semidirect
987. #459C22×C13semidirect
988. #452C22×C13semidirect
989. #452C22×C13semidirect
990. #452C22×C13semidirect
991. #451C22×C13semidirect
992. #450C22×C13semidirect
993. #450C22×C13semidirect
994. #450C22×C13semidirect
996. #449C22×C13semidirect
997. #449C22×C13semidirect
998. #448C22×C13semidirect
999. #448C22×C13semidirect
1000. #448C22×C13semidirect
1004. #447C22×C13semidirect
1005. #447C22×C13semidirect
1006. #446C22×C13semidirect
1007. #446C22×C13semidirect
1009. #442C22×C13semidirect
1010. #442C22×C13semidirect
1011. #441C22×C13semidirect
1012. #440C22×C13semidirect
1013. #440C22×C13semidirect
1014. #440C22×C13semidirect
1015. #440C22×C13semidirect
1016. C4×SD16C22×C13semidirect
1017. C4×SD16C22×C13semidirect
1018. C4×D8C22×C13semidirect
1019. C4×D8C22×C13semidirect
1020. #436C22×C13semidirect
1021. #436C22×C13semidirect
1022. #435C22×C13semidirect
1023. #435C22×C13semidirect
1024. #435C22×C13semidirect
1025. #435C22×C13semidirect
1026. #432C22×C13semidirect
1027. #432C22×C13semidirect
1028. #431C22×C13semidirect
1029. #423C22×C13semidirect
1030. #423C22×C13semidirect
1031. C2×C4⋊C8C22×C13semidirect
1032. #419C22×C13semidirect
1033. #418C22×C13semidirect
1034. #417C22×C13semidirect
1035. #417C22×C13semidirect
1036. C2×#103C22×C13semidirect
1037. C2×#102C22×C13semidirect
1611. C13#61971direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35142
C13×#34812
C13×#34032
C13×#34012
C13×#33762
C13×#33702
C13×#33262
C13×#33222
C13×#33202
C13×#33182
C13×#33162
C13×#33142
C13×#32752
C13×#32732
C13×#32662
C13×#32652
C13×#32642
C13×#32562
C13×#32512
C13×#32502
C13×#32192
C13×#32132
C13×#32112
C13×#31142
C13×#31112
C13×#31052
C13×#30402
C13×#30362
C2×C13×#4632
C13×#29892
#6197113