Finite Group Databasebeta

← C13×#62079 #15748418

Subgroups — C13×#62079 #15748418

Order 3328.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3543C211yesmaximal, characteristic, complemented
2C13×#3521C211yesmaximal, characteristic, complemented
3C13×#3401C211yesmaximal, characteristic, complemented
4C13×#3397C211yesmaximal, characteristic, complemented
5C13×#3370C211yesmaximal, characteristic, complemented
6C13×#3366C211yesmaximal, characteristic, complemented
7C13×#3324C211yesmaximal, characteristic, complemented
8C13×#3322C211yesmaximal, characteristic, complemented
9C13×#3318C211yesmaximal, characteristic, complemented
10C13×#3317C211yesmaximal, characteristic, complemented
11C13×#3311C211yesmaximal, characteristic, complemented
12C13×#3310C211yesmaximal, characteristic, complemented
13C13×#3273C211yesmaximal, characteristic, complemented
14C13×#3272C211yesmaximal, characteristic, complemented
15C13×#3268C211yesmaximal, characteristic, complemented
16C13×#3267C211yesmaximal, characteristic, complemented
17C13×#3264C211yesmaximal, characteristic, complemented
18C13×#3264C211yesmaximal, characteristic, complemented
19C13×#3260C211yesmaximal, characteristic, complemented
20C13×#3257C211yesmaximal, characteristic, complemented
21C13×#3256C211yesmaximal, characteristic, complemented
22C13×#3224C211yesmaximal, characteristic, complemented
23C13×#3222C211yesmaximal, characteristic, complemented
24C13×#3217C211yesmaximal, characteristic, complemented
25C13×#3122C211yesmaximal, characteristic, complemented
26C13×#3119C211yesmaximal, characteristic, complemented
27C13×#3111C211yesmaximal, characteristic, complemented
28C13×#3045C211yesmaximal, characteristic, complemented
29C13×#3041C211yesmaximal, characteristic, complemented
30C13×#3038C211yesmaximal, characteristic, complemented
31C13×#2995C211yesmaximal, characteristic, complemented
32C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C13×#135C2211yescharacteristic, complemented
37C22×C13×D8C2211yescharacteristic, complemented
38C13×#560—21no—
39C13×#560—21no—
40C13×#559C2211yescharacteristic, complemented
41C13×#556C2211yescharacteristic, complemented
42C13×#556C2211yescharacteristic, complemented
43C13×#554C2211yescharacteristic, complemented
44C13×#553—21no—
45C13×#553C2211yescharacteristic, complemented
46C13×#552—21no—
47C13×#552C2211yescharacteristic, complemented
48C13×#551—21no—
49C13×#551—21no—
50C13×#550C2211yescharacteristic
51C13×#550C2211yescharacteristic, complemented
52C13×#547C2211yescharacteristic, complemented
53C13×#546—21no—
54C13×#546C2211yescharacteristic
55C13×#546C2211yescharacteristic, complemented
56C13×#546C2211yescharacteristic, complemented
57C13×#546C2211yescharacteristic, complemented
58D42×C13—21no—
59D42×C13C2211yescharacteristic
60D42×C13C2211yescharacteristic
61D42×C13C2211yescharacteristic, complemented
62C13×#542C2211yescharacteristic, complemented
63C13×#541C2211yescharacteristic, complemented
64C13×#540—21no—
65C13×#540C2211yescharacteristic
66C13×#540C2211yescharacteristic, complemented
67C13×#539—21no—
68C13×#538—21no—
69C13×#535—21no—
70C13×#535C2211yescharacteristic
71C13×#535C2211yescharacteristic, complemented
72C13×#534—21no—
73C13×#534—21no—
74C2×C13×#127C2211yescharacteristic, complemented
75C13×#529—21no—
76C13×#529C2211yescharacteristic
77C13×#529C2211yescharacteristic, complemented
78C13×#529C2211yescharacteristic, complemented
79C2×C13×#126—21no—
80C13×#520C2211yescharacteristic, complemented
81C13×#518C2211yescharacteristic, complemented
82C4×C13×#41C2211yescharacteristic, complemented
83C13×#497C2211yescharacteristic, complemented
84C13×#496C2211yescharacteristic
85C13×#496C2211yescharacteristic, complemented
86C13×#496C2211yescharacteristic, complemented
87C13×#495C2211yescharacteristic, complemented
88C13×#492C2211yescharacteristic, complemented
89C13×#490C2211yescharacteristic, complemented
90C13×#490C2211yescharacteristic, complemented
91C13×#490C2211yescharacteristic, complemented
92C13×#489C2211yescharacteristic, complemented
93C13×#488C2211yescharacteristic, complemented
94C13×#486C2211yescharacteristic, complemented
95C13×#485C2211yescharacteristic, complemented
96C13×#482C2211yescharacteristic, complemented
97C13×#482C2211yescharacteristic, 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×#476C2211yescharacteristic, complemented
110C13×#474C2211yescharacteristic, complemented
111C13×#470C2211yescharacteristic, complemented
112C13×#469C2211yescharacteristic
113C13×#469C2211yescharacteristic, complemented
114C13×#468C2211yescharacteristic, complemented
115C13×#468C2211yescharacteristic, complemented
116C13×#468C2211yescharacteristic, complemented
117C13×#468C2211yescharacteristic, complemented
118C13×#468C2211yescharacteristic, complemented
119C13×#466C2211yescharacteristic, complemented
120C13×#465C2211yescharacteristic, complemented
121C13×#465C2211yescharacteristic, complemented
122C13×#465C2211yescharacteristic, complemented
123C13×#464C2211yescharacteristic, complemented
124C13×#464C2211yescharacteristic, complemented
125C13×#464C2211yescharacteristic, complemented
126C13×#464C2211yescharacteristic, complemented
127C13×#463C2211yescharacteristic, complemented
128C13×#463C2211yescharacteristic, complemented
129C13×#463C2211yescharacteristic, complemented
130C13×#463C2211yescharacteristic, complemented
131C13×#463C2211yescharacteristic, complemented
132C13×#463C2211yescharacteristic, complemented
133C13×#463C2211yescharacteristic, complemented
134C13×#463C2211yescharacteristic, complemented
135C13×#461C2211yescharacteristic, complemented
136C13×#461C2211yescharacteristic, complemented
137C13×#460C2211yescharacteristic, complemented
138C13×#460C2211yescharacteristic, complemented
139C13×#460C2211yescharacteristic, complemented
140C13×#460C2211yescharacteristic, complemented
141C13×#460C2211yescharacteristic, complemented
142C13×#460C2211yescharacteristic, complemented
143C13×#460C2211yescharacteristic, complemented
144C13×#459C2211yescharacteristic
145C13×#459C2211yescharacteristic, complemented
146C13×#459C2211yescharacteristic, complemented
147C13×#459C2211yescharacteristic, complemented
148C13×#459C2211yescharacteristic, complemented
149C13×#459C2211yescharacteristic, complemented
150C13×#459C2211yescharacteristic, complemented
151C13×#459C2211yescharacteristic, complemented
152C13×#459C2211yescharacteristic, complemented
153C13×#452C2211yescharacteristic, complemented
154C13×#452C2211yescharacteristic, complemented
155C13×#452C2211yescharacteristic, complemented
156C13×#452C2211yescharacteristic, complemented
157C13×#450C2211yescharacteristic, complemented
158C13×#450C2211yescharacteristic, complemented
159C13×#450C2211yescharacteristic, complemented
160C13×#450C2211yescharacteristic, complemented
161C13×#450C2211yescharacteristic, complemented
162C13×#449C2211yescharacteristic
163C13×#449C2211yescharacteristic, complemented
164C13×#449C2211yescharacteristic, complemented
165C13×#449C2211yescharacteristic, complemented
166C13×#447C2211yescharacteristic, complemented
167C13×#447C2211yescharacteristic, complemented
168C13×#447C2211yescharacteristic, complemented
169C13×#447C2211yescharacteristic, complemented
170C13×#447C2211yescharacteristic, complemented
171C13×#446C2211yescharacteristic, complemented
172C13×#446C2211yescharacteristic, complemented
173C13×#442C2211yescharacteristic, complemented
174C13×#442C2211yescharacteristic, complemented
175C13×#442C2211yescharacteristic, complemented
176C13×#442C2211yescharacteristic, complemented
177C13×#441C2211yescharacteristic, complemented
178C13×#440C2211yescharacteristic, complemented
179C13×#440C2211yescharacteristic, complemented
180C13×#440C2211yescharacteristic, complemented
181C4×C13×SD16C2211yescharacteristic, complemented
182C4×C13×D8C2211yescharacteristic, 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×#433C2211yescharacteristic, complemented
192C13×#433C2211yescharacteristic, complemented
193C13×#432C2211yescharacteristic, complemented
194C13×#424C2211yescharacteristic, complemented
195C13×#424C2211yescharacteristic, complemented
196C13×#423C2211yescharacteristic, complemented
197C13×#418C2211yescharacteristic, complemented
198C13×#418C2211yescharacteristic, complemented
199C13×#418C2211yescharacteristic, complemented
200C13×#417C2211yescharacteristic, complemented
201C13×#416C2211yescharacteristic, complemented
202C2×C13×#102C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C2×C13×#41C2311yescharacteristic
207C2×C13×#41C2311yescharacteristic
208C22×D4×C13—21no—
209C22×D4×C13—21no—
210C22×D4×C13—21no—
211C22×D4×C13—21no—
212C22×D4×C13—21no—
213C22×D4×C13C2311yescharacteristic
214C22×D4×C13C2311yescharacteristic
215C22×D4×C13C2311yescharacteristic
216C22×D4×C13C2311yescharacteristic
217C22×D4×C13C2311yescharacteristic
218C13×AGL(1,ℤ/8)—42no—
219C13×AGL(1,ℤ/8)—42no—
220C13×AGL(1,ℤ/8)—42no—
221C13×AGL(1,ℤ/8)—42no—
222C13×#135—42no—
223C2×C13×Q16C2311yescharacteristic
224C2×C13×Q16C2311yescharacteristic
225C2×C13×SD16C2311yescharacteristic
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×D8—42no—
238C2×C13×D8C2311yescharacteristic
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⋊Q8C2311yescharacteristic
255C13×C4⋊Q8C2311yescharacteristic
256C13×#127—21no—
257C13×#127—21no—
258C13×#127—21no—
259C13×#127C2311yescharacteristic
260C13×#127C2311yescharacteristic
261C13×#127C2311yescharacteristic
262C13×#127C2311yescharacteristic
263C13×#127C2311yescharacteristic
264C13×#127C2311yescharacteristic
265C13×#126—21no—
266C13×#126—21no—
267C13×#126—21no—
268C13×#126—21no—
269C13×#126—21no—
270C13×#126—21no—
271C13×#126—21no—
272C13×#126—21no—
273C13×#126—21no—
274C13×#126—21no—
275C13×#126—21no—
276C13×#126D411yescharacteristic
277C13×#126D411yescharacteristic
278C13×#125—21no—
279C13×#125—21no—
280C13×#125—21no—
281C13×#125D411yescharacteristic
282C13×#125C2311yescharacteristic
283C13×#125C2311yescharacteristic
284C13×#125C2311yescharacteristic
285C13×#124—21no—
286C13×#124—21no—
287C13×#124—21no—
288C13×#124D411yescharacteristic
289C13×#124C2311yescharacteristic
290C13×#124C2311yescharacteristic
291C13×#124C2311yescharacteristic
292C13×#124C2311yescharacteristic
293C13×#124C2311yescharacteristic
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×#123—21no—
306C13×#123—21no—
307C13×#123—21no—
308C13×#123—21no—
309C13×#123—21no—
310C13×#123—21no—
311C13×#123D411yescharacteristic
312C13×#123D411yescharacteristic
313C13×C22⋊Q8—21no—
314C13×C22⋊Q8—21no—
315C13×C22⋊Q8—21no—
316C13×C22⋊Q8—21no—
317C13×C22⋊Q8—21no—
318C13×C22⋊Q8D411yescharacteristic
319C13×C22⋊Q8C2311yescharacteristic
320C13×C22⋊Q8C2311yescharacteristic
321C13×C22⋊Q8C2311yescharacteristic
322C13×C22⋊Q8C2311yescharacteristic
323C13×C22⋊Q8C2311yescharacteristic
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×#121—21no—
334C13×#121—21no—
335C13×#121—21no—
336C13×#121—21no—
337C13×#121—21no—
338C13×#121—21no—
339C13×#121—21no—
340C13×#121—21no—
341C13×#121—21no—
342C13×#121—21no—
343C13×#121—21no—
344C13×#121—21no—
345C13×#121—21no—
346C13×#121D411yescharacteristic
347C13×#121C2311yescharacteristic
348C13×#121C2311yescharacteristic
349C13×#121C2311yescharacteristic
350C13×#121C2311yescharacteristic
351C13×#121C2311yescharacteristic
352C13×#121C2311yescharacteristic
353C13×#121C2311yescharacteristic
354C13×#120—21no—
355C13×#120—21no—
356C13×#120—21no—
357C13×#120—21no—
358C13×#120—21no—
359C13×#120—21no—
360C13×#120—21no—
361C13×#120—21no—
362C13×#120—21no—
363C13×#120—21no—
364C13×#120—21no—
365C13×#120—21no—
366C13×#120—21no—
367C13×#120—21no—
368C4×Q8×C13—21no—
369C4×Q8×C13C2311yescharacteristic
370C4×Q8×C13C2311yescharacteristic
371C4×Q8×C13C2311yescharacteristic
372C4×Q8×C13C2311yescharacteristic
373C4×Q8×C13C2311yescharacteristic
374C4×Q8×C13C2311yescharacteristic
375C4×D4×C13—21no—
376C4×D4×C13—21no—
377C4×D4×C13—21no—
378C4×D4×C13—21no—
379C4×D4×C13—21no—
380C4×D4×C13—21no—
381C4×D4×C13—21no—
382C4×D4×C13—21no—
383C4×D4×C13—21no—
384C4×D4×C13—21no—
385C4×D4×C13—21no—
386C4×D4×C13C2311yescharacteristic
387C4×D4×C13C2311yescharacteristic
388C4×D4×C13C2311yescharacteristic
389C4×D4×C13C2311yescharacteristic
390C4×D4×C13C2311yescharacteristic
391C4×D4×C13C2311yescharacteristic
392C4×D4×C13C2311yescharacteristic
393C4×D4×C13C2311yescharacteristic
394C4×D4×C13C2311yescharacteristic
395C4×D4×C13C2311yescharacteristic
396C4×D4×C13C2311yescharacteristic
397C4×D4×C13C2311yescharacteristic
398C4×D4×C13C2311yescharacteristic
399C4×D4×C13C2311yescharacteristic
400C13×#117—21no—
401C13×#117—21no—
402C13×#117—21no—
403C13×#117—21no—
404C13×#117—21no—
405C13×#117—21no—
406C13×#117C2311yescharacteristic
407C13×#117C2311yescharacteristic
408C13×#117C2311yescharacteristic
409C13×#117C2311yescharacteristic
410C2×C13×C4⋊C4—21no—
411C2×C13×C4⋊C4—21no—
412C2×C13×C4⋊C4—21no—
413C2×C13×C4⋊C4C2311yescharacteristic
414C2×C13×C22⋊C4—21no—
415C2×C13×C22⋊C4—21no—
416C2×C13×C22⋊C4—21no—
417C2×C13×C22⋊C4—21no—
418C2×C13×C22⋊C4—21no—
419C2×C13×C22⋊C4—21no—
420C2×C42×C13—21no—
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×#102C2311yescharacteristic
449C13×#102C2311yescharacteristic
450C13×#102C2311yescharacteristic
451C13×#102C2311yescharacteristic
452C13×#102C2311yescharacteristic
453C13×#102C2311yescharacteristic
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#62079C1311yesmaximal, characteristic, direct product factor, Sylow
485C24×C13—21no—
486C24×C13—21no—
487C24×C13—21no—
488C24×C13—21no—
489C24×C13—21no—
490C13×#41—22no—
491C13×#41—22no—
492C13×#41—41no—
493C13×#41—41no—
494C13×#41—41no—
495C13×#41—41no—
496C13×#41—41no—
497C13×#41—41no—
498C13×#41—82no—
499C2×Q8×C13—21no—
500C2×Q8×C13C2×D411yescharacteristic
501C2×Q8×C13C2411yescharacteristic
502C2×Q8×C13C2411yescharacteristic
503C2×Q8×C13C2411yescharacteristic
504C2×D4×C13—22no—
505C2×D4×C13—21no—
506C2×D4×C13—21no—
507C2×D4×C13—21no—
508C2×D4×C13—21no—
509C2×D4×C13—21no—
510C2×D4×C13—21no—
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—21no—
530C2×D4×C13—21no—
531C2×D4×C13—21no—
532C2×D4×C13—21no—
533C2×D4×C13—41no—
534C2×D4×C13—41no—
535C2×D4×C13—41no—
536C2×D4×C13—41no—
537C2×D4×C13—41no—
538C2×D4×C13—41no—
539C2×D4×C13—41no—
540C2×D4×C13—41no—
541C2×D4×C13—41no—
542C2×D4×C13—82no—
543C2×D4×C13—82no—
544C2×D4×C13—82no—
545C2×D4×C13—82no—
546C2×D4×C13—82no—
547C2×D4×C13C2×D411yescharacteristic
548C2×D4×C13C2×D411yescharacteristic
549C2×D4×C13C2×D411yescharacteristic
550C2×D4×C13C2411yescharacteristic
551C2×D4×C13C2411yescharacteristic
552C2×D4×C13C2411yescharacteristic
553C2×D4×C13C2411yescharacteristic
554C2×D4×C13C2411yescharacteristic
555C2×D4×C13C2411yescharacteristic
556C2×D4×C13C2411yescharacteristic
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—21no—
565C22×C4×C13—21no—
566C22×C4×C13—21no—
567C22×C4×C13—21no—
568C22×C4×C13—21no—
569C22×C4×C13—21no—
570C22×C4×C13—21no—
571C22×C4×C13—21no—
572C22×C4×C13—21no—
573C22×C4×C13C2×D411yescharacteristic
574C22×C4×C13C2×D411yescharacteristic
575C22×C4×C13C2411yescharacteristic
576C22×C4×C13C2411yescharacteristic
577C22×C4×C13C2411yescharacteristic
578C13×Q16—41no—
579C13×Q16—41no—
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×SD16—41no—
591C13×SD16—41no—
592C13×D8—22no—
593C13×D8—22no—
594C13×D8—22no—
595C13×D8—22no—
596C13×D8—22no—
597C13×D8—41no—
598C13×D8—41no—
599C13×D8—41no—
600C13×D8—41no—
601C13×D8—41no—
602C13×M16—41no—
603C13×M16—41no—
604C13×M16—41no—
605C13×M16—41no—
606C2×C8×C13—41no—
607C2×C8×C13—41no—
608C2×C8×C13C2411yescharacteristic
609C2×C8×C13C2411yescharacteristic
610C2×C8×C13C2411yescharacteristic
611C2×C8×C13C2411yescharacteristic
612C2×C8×C13C2411yescharacteristic
613C2×C8×C13C2411yescharacteristic
614C2×C8×C13C2411yescharacteristic
615C2×C8×C13C2411yescharacteristic
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⋊C4—21no—
635C13×C4⋊C4—21no—
636C13×C4⋊C4C2×D411yescharacteristic
637C13×C4⋊C4C2×D411yescharacteristic
638C13×C4⋊C4C2×D411yescharacteristic
639C13×C4⋊C4C2×D411yescharacteristic
640C13×C4⋊C4C2×D411yescharacteristic
641C13×C4⋊C4C2×D411yescharacteristic
642C13×C4⋊C4C2×D411yescharacteristic
643C13×C4⋊C4C2×D411yescharacteristic
644C13×C4⋊C4C2×D411yescharacteristic
645C13×C4⋊C4C2×D411yescharacteristic
646C13×C4⋊C4C2411yescharacteristic
647C13×C4⋊C4C2411yescharacteristic
648C13×C4⋊C4C2411yescharacteristic
649C13×C4⋊C4C2411yescharacteristic
650C13×C4⋊C4C2411yescharacteristic
651C13×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
688C13×C22⋊C4C2×D411yescharacteristic
689C13×C22⋊C4C2×D411yescharacteristic
690C13×C22⋊C4C2×D411yescharacteristic
691C13×C22⋊C4C2×D411yescharacteristic
692C13×C22⋊C4C2×D411yescharacteristic
693C13×C22⋊C4C2×D411yescharacteristic
694C13×C22⋊C4C2×D411yescharacteristic
695C13×C22⋊C4C2×D411yescharacteristic
696C13×C22⋊C4C2×D411yescharacteristic
697C42×C13—21no—
698C42×C13—21no—
699C42×C13—21no—
700C42×C13—21no—
701C42×C13—21no—
702C42×C13—21no—
703C42×C13—21no—
704C42×C13C2×D411yescharacteristic
705C42×C13C2×D411yescharacteristic
706C42×C13C2411yescharacteristic
707C42×C13C2411yescharacteristic
708C42×C13C2411yescharacteristic
709C42×C13C2411yescharacteristic
710#3543C2×C1311yescharacteristic, complemented
711#3521C2×C1311yescharacteristic, complemented
712#3401C2×C1311yescharacteristic, complemented
713#3397C2×C1311yescharacteristic, complemented
714#3370C2×C1311yescharacteristic, complemented
715#3366C2×C1311yescharacteristic, complemented
716#3324C2×C1311yescharacteristic, complemented
717#3322C2×C1311yescharacteristic, complemented
718#3318C2×C1311yescharacteristic, complemented
719#3317C2×C1311yescharacteristic, complemented
720#3311C2×C1311yescharacteristic, complemented
721#3310C2×C1311yescharacteristic, complemented
722#3273C2×C1311yescharacteristic, complemented
723#3272C2×C1311yescharacteristic, complemented
724#3268C2×C1311yescharacteristic, complemented
725#3267C2×C1311yescharacteristic, complemented
726#3264C2×C1311yescharacteristic, complemented
727#3264C2×C1311yescharacteristic, complemented
728#3260C2×C1311yescharacteristic, complemented
729#3257C2×C1311yescharacteristic, complemented
730#3256C2×C1311yescharacteristic, complemented
731#3224C2×C1311yescharacteristic, complemented
732#3222C2×C1311yescharacteristic, complemented
733#3217C2×C1311yescharacteristic, complemented
734#3122C2×C1311yescharacteristic, complemented
735#3119C2×C1311yescharacteristic, complemented
736#3111C2×C1311yescharacteristic, complemented
737#3045C2×C1311yescharacteristic, complemented
738#3041C2×C1311yescharacteristic, complemented
739#3038C2×C1311yescharacteristic, complemented
740#2995C2×C1311yescharacteristic, complemented
741C23×C13—21no—
742C23×C13—21no—
743C23×C13—21no—
744C23×C13—21no—
745C23×C13—21no—
746C23×C13—21no—
747C23×C13—21no—
748C23×C13—42no—
749C23×C13—42no—
750C23×C13—42no—
751C23×C13—81no—
752C23×C13—81no—
753C23×C13—81no—
754C23×C13—81no—
755C23×C13—81no—
756C23×C13—81no—
757C23×C13—81no—
758C23×C13—81no—
759C23×C13—81no—
760C23×C13—81no—
761C23×C13—81no—
762C23×C13—81no—
763C23×C13C22×D411yescharacteristic
764C23×C13C22×D411yescharacteristic
765C23×C13C22×D411yescharacteristic
766Q8×C13—21no—
767Q8×C13—21no—
768Q8×C13—21no—
769Q8×C13—21no—
770Q8×C13—21no—
771Q8×C13—21no—
772Q8×C13—41no—
773Q8×C13—81no—
774D4×C13—21no—
775D4×C13—21no—
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—41no—
789D4×C13—41no—
790D4×C13—42no—
791D4×C13—42no—
792D4×C13—42no—
793D4×C13—42no—
794D4×C13—42no—
795D4×C13—42no—
796D4×C13—81no—
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×C13—81no—
807D4×C13—81no—
808D4×C13—81no—
809D4×C13—81no—
810D4×C13—81no—
811D4×C13—81no—
812D4×C13—81no—
813D4×C13—81no—
814D4×C13—81no—
815D4×C13—81no—
816D4×C13—81no—
817D4×C13—81no—
818D4×C13H(5,𝔽2)12yes—
819C2×C4×C13—21no—
820C2×C4×C13—21no—
821C2×C4×C13—21no—
822C2×C4×C13—21no—
823C2×C4×C13—21no—
824C2×C4×C13—21no—
825C2×C4×C13—21no—
826C2×C4×C13—21no—
827C2×C4×C13—21no—
828C2×C4×C13—21no—
829C2×C4×C13—21no—
830C2×C4×C13—21no—
831C2×C4×C13—21no—
832C2×C4×C13—21no—
833C2×C4×C13—21no—
834C2×C4×C13—41no—
835C2×C4×C13—41no—
836C2×C4×C13—42no—
837C2×C4×C13—42no—
838C2×C4×C13—42no—
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×C13—81no—
848C2×C4×C13—81no—
849C2×C4×C13—81no—
850C2×C4×C13—81no—
851C2×C4×C13—81no—
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×C13C22×D411yescharacteristic
859C2×C4×C13C22×D411yescharacteristic
860C2×C4×C13C22×D411yescharacteristic
861C2×C4×C13C22×D411yescharacteristic
862C2×C4×C13C22×D411yescharacteristic
863C2×C4×C13C2511yescharacteristic
864C8×C13—21no—
865C8×C13—21no—
866C8×C13—21no—
867C8×C13—21no—
868C8×C13—21no—
869C8×C13—21no—
870C8×C13—21no—
871C8×C13—21no—
872C2×AGL(1,ℤ/8)C22×C1311yescharacteristic, complemented
873C2×AGL(1,ℤ/8)C22×C1311yescharacteristic, complemented
874C2×AGL(1,ℤ/8)C22×C1311yescharacteristic, complemented
875C2×AGL(1,ℤ/8)C22×C1311yescharacteristic, complemented
876C2×#135C22×C1311yescharacteristic, complemented
877C22×D8C22×C1311yescharacteristic, complemented
878#560—21no—
879#560—21no—
880#559C22×C1311yescharacteristic, complemented
881#556C22×C1311yescharacteristic, complemented
882#556C22×C1311yescharacteristic, complemented
883#554C22×C1311yescharacteristic, complemented
884#553—21no—
885#553C22×C1311yescharacteristic, complemented
886#552—21no—
887#552C22×C1311yescharacteristic, complemented
888#551—21no—
889#551—21no—
890#550C22×C1311yescharacteristic
891#550C22×C1311yescharacteristic, complemented
892#547C22×C1311yescharacteristic, complemented
893#546—21no—
894#546C22×C1311yescharacteristic
895#546C22×C1311yescharacteristic, complemented
896#546C22×C1311yescharacteristic, complemented
897#546C22×C1311yescharacteristic, complemented
898D42—21no—
899D42C22×C1311yescharacteristic
900D42C22×C1311yescharacteristic
901D42C22×C1311yescharacteristic, complemented
902#542C22×C1311yescharacteristic, complemented
903#541C22×C1311yescharacteristic, complemented
904#540—21no—
905#540C22×C1311yescharacteristic
906#540C22×C1311yescharacteristic, complemented
907#539—21no—
908#538—21no—
909#535—21no—
910#535C22×C1311yescharacteristic
911#535C22×C1311yescharacteristic, complemented
912#534—21no—
913#534—21no—
914C2×#127C22×C1311yescharacteristic, complemented
915#529—21no—
916#529C22×C1311yescharacteristic
917#529C22×C1311yescharacteristic, complemented
918#529C22×C1311yescharacteristic, complemented
919C2×#126—21no—
920#520C22×C1311yescharacteristic, complemented
921#518C22×C1311yescharacteristic, complemented
922C4×#41C22×C1311yescharacteristic, complemented
923#497C22×C1311yescharacteristic, complemented
924#496C22×C1311yescharacteristic
925#496C22×C1311yescharacteristic, complemented
926#496C22×C1311yescharacteristic, complemented
927#495C22×C1311yescharacteristic, complemented
928#492C22×C1311yescharacteristic, complemented
929#490C22×C1311yescharacteristic, complemented
930#490C22×C1311yescharacteristic, complemented
931#490C22×C1311yescharacteristic, complemented
932#489C22×C1311yescharacteristic, complemented
933#488C22×C1311yescharacteristic, complemented
934#486C22×C1311yescharacteristic, complemented
935#485C22×C1311yescharacteristic, complemented
936#482C22×C1311yescharacteristic, complemented
937#482C22×C1311yescharacteristic, complemented
938#482C22×C1311yescharacteristic, complemented
939#481C22×C1311yescharacteristic, complemented
940#480C22×C1311yescharacteristic, complemented
941#479C22×C1311yescharacteristic, complemented
942#479C22×C1311yescharacteristic, complemented
943#479C22×C1311yescharacteristic, complemented
944#478C22×C1311yescharacteristic, complemented
945#478C22×C1311yescharacteristic, complemented
946#478C22×C1311yescharacteristic, complemented
947#478C22×C1311yescharacteristic, complemented
948#478C22×C1311yescharacteristic, complemented
949#476C22×C1311yescharacteristic, complemented
950#474C22×C1311yescharacteristic, complemented
951#470C22×C1311yescharacteristic, complemented
952#469C22×C1311yescharacteristic
953#469C22×C1311yescharacteristic, complemented
954#468C22×C1311yescharacteristic, complemented
955#468C22×C1311yescharacteristic, complemented
956#468C22×C1311yescharacteristic, complemented
957#468C22×C1311yescharacteristic, complemented
958#468C22×C1311yescharacteristic, complemented
959#466C22×C1311yescharacteristic, complemented
960#465C22×C1311yescharacteristic, complemented
961#465C22×C1311yescharacteristic, complemented
962#465C22×C1311yescharacteristic, complemented
963#464C22×C1311yescharacteristic, complemented
964#464C22×C1311yescharacteristic, complemented
965#464C22×C1311yescharacteristic, complemented
966#464C22×C1311yescharacteristic, complemented
967#463C22×C1311yescharacteristic, complemented
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#461C22×C1311yescharacteristic, complemented
976#461C22×C1311yescharacteristic, complemented
977#460C22×C1311yescharacteristic, complemented
978#460C22×C1311yescharacteristic, complemented
979#460C22×C1311yescharacteristic, complemented
980#460C22×C1311yescharacteristic, complemented
981#460C22×C1311yescharacteristic, complemented
982#460C22×C1311yescharacteristic, complemented
983#460C22×C1311yescharacteristic, complemented
984#459C22×C1311yescharacteristic
985#459C22×C1311yescharacteristic, complemented
986#459C22×C1311yescharacteristic, complemented
987#459C22×C1311yescharacteristic, complemented
988#459C22×C1311yescharacteristic, complemented
989#459C22×C1311yescharacteristic, complemented
990#459C22×C1311yescharacteristic, complemented
991#459C22×C1311yescharacteristic, complemented
992#459C22×C1311yescharacteristic, complemented
993#452C22×C1311yescharacteristic, complemented
994#452C22×C1311yescharacteristic, complemented
995#452C22×C1311yescharacteristic, complemented
996#452C22×C1311yescharacteristic, complemented
997#450C22×C1311yescharacteristic, complemented
998#450C22×C1311yescharacteristic, complemented
999#450C22×C1311yescharacteristic, complemented
1000#450C22×C1311yescharacteristic, complemented
1001#450C22×C1311yescharacteristic, complemented
1002#449C22×C1311yescharacteristic
1003#449C22×C1311yescharacteristic, complemented
1004#449C22×C1311yescharacteristic, complemented
1005#449C22×C1311yescharacteristic, complemented
1006#447C22×C1311yescharacteristic, complemented
1007#447C22×C1311yescharacteristic, complemented
1008#447C22×C1311yescharacteristic, complemented
1009#447C22×C1311yescharacteristic, complemented
1010#447C22×C1311yescharacteristic, complemented
1011#446C22×C1311yescharacteristic, complemented
1012#446C22×C1311yescharacteristic, complemented
1013#442C22×C1311yescharacteristic, complemented
1014#442C22×C1311yescharacteristic, complemented
1015#442C22×C1311yescharacteristic, complemented
1016#442C22×C1311yescharacteristic, complemented
1017#441C22×C1311yescharacteristic, complemented
1018#440C22×C1311yescharacteristic, complemented
1019#440C22×C1311yescharacteristic, complemented
1020#440C22×C1311yescharacteristic, complemented
1021C4×SD16C22×C1311yescharacteristic, complemented
1022C4×D8C22×C1311yescharacteristic, complemented
1023C4×D8C22×C1311yescharacteristic, complemented
1024C4×D8C22×C1311yescharacteristic, complemented
1025#436C22×C1311yescharacteristic, complemented
1026#436C22×C1311yescharacteristic, complemented
1027#435C22×C1311yescharacteristic, complemented
1028#435C22×C1311yescharacteristic, complemented
1029#435C22×C1311yescharacteristic, complemented
1030#435C22×C1311yescharacteristic, complemented
1031#433C22×C1311yescharacteristic, complemented
1032#433C22×C1311yescharacteristic, complemented
1033#432C22×C1311yescharacteristic, complemented
1034#424C22×C1311yescharacteristic, complemented
1035#424C22×C1311yescharacteristic, complemented
1036#423C22×C1311yescharacteristic, complemented
1037#418C22×C1311yescharacteristic, complemented
1038#418C22×C1311yescharacteristic, complemented
1039#418C22×C1311yescharacteristic, complemented
1040#417C22×C1311yescharacteristic, complemented
1041#416C22×C1311yescharacteristic, complemented
1042C2×#102C22×C1311yescharacteristic, complemented
1043C22×C13—21no—
1044C22×C13—21no—
1045C22×C13—21no—
1046C22×C13—21no—
1047C22×C13—21no—
1048C22×C13—21no—
1049C22×C13—21no—
1050C22×C13—21no—
1051C22×C13—21no—
1052C22×C13—22no—
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—41no—
1065C22×C13—41no—
1066C22×C13—41no—
1067C22×C13—41no—
1068C22×C13—41no—
1069C22×C13—41no—
1070C22×C13—41no—
1071C22×C13—41no—
1072C22×C13—41no—
1073C22×C13—162no—
1074C22×C13—162no—
1075C22×C13—162no—
1076C22×C13—162no—
1077C22×C13—162no—
1078C22×C13C23×D411yescharacteristic
1079C4×C13—21no—
1080C4×C13—21no—
1081C4×C13—21no—
1082C4×C13—21no—
1083C4×C13—21no—
1084C4×C13—21no—
1085C4×C13—21no—
1086C4×C13—21no—
1087C4×C13—21no—
1088C4×C13—21no—
1089C4×C13—21no—
1090C4×C13—41no—
1091C4×C13—41no—
1092C4×C13—41no—
1093C4×C13—41no—
1094C4×C13—41no—
1095C4×C13—41no—
1096C4×C13—41no—
1097C4×C13—41no—
1098C4×C13—41no—
1099C4×C13C2×H(5,𝔽2)11yescharacteristic
1100C4×C13#58511yescharacteristic
1101C2×#41—21no—
1102C2×#41C23×C1311yescharacteristic
1103C2×#41C23×C1311yescharacteristic
1104C2×#41C23×C1311yescharacteristic
1105C2×#41C23×C1311yescharacteristic
1106C22×D4—21no—
1107C22×D4—21no—
1108C22×D4—21no—
1109C22×D4—21no—
1110C22×D4—21no—
1111C22×D4C23×C1311yescharacteristic
1112C22×D4C23×C1311yescharacteristic
1113C22×D4C23×C1311yescharacteristic
1114C22×D4C23×C1311yescharacteristic
1115C22×D4C23×C1311yescharacteristic
1116AGL(1,ℤ/8)—42no—
1117AGL(1,ℤ/8)—42no—
1118AGL(1,ℤ/8)—42no—
1119AGL(1,ℤ/8)—42no—
1120#135—42no—
1121C2×Q16C23×C1311yescharacteristic
1122C2×Q16C23×C1311yescharacteristic
1123C2×SD16C23×C1311yescharacteristic
1124C2×SD16C23×C1311yescharacteristic
1125C2×SD16C23×C1311yescharacteristic
1126C2×SD16C23×C1311yescharacteristic
1127C2×SD16C23×C1311yescharacteristic
1128C2×SD16C23×C1311yescharacteristic
1129C2×SD16C23×C1311yescharacteristic
1130C2×SD16C23×C1311yescharacteristic
1131C2×SD16C23×C1311yescharacteristic
1132C2×SD16C23×C1311yescharacteristic
1133C2×SD16C23×C1311yescharacteristic
1134C2×SD16C23×C1311yescharacteristic
1135C2×D8—42no—
1136C2×D8C23×C1311yescharacteristic
1137C2×D8C23×C1311yescharacteristic
1138C2×D8C23×C1311yescharacteristic
1139C2×D8C23×C1311yescharacteristic
1140C2×D8C23×C1311yescharacteristic
1141C2×D8C23×C1311yescharacteristic
1142C2×D8C23×C1311yescharacteristic
1143C2×D8C23×C1311yescharacteristic
1144C2×D8C23×C1311yescharacteristic
1145C2×D8C23×C1311yescharacteristic
1146C2×M16C23×C1311yescharacteristic
1147C2×M16C23×C1311yescharacteristic
1148C2×M16C23×C1311yescharacteristic
1149C2×M16C23×C1311yescharacteristic
1150C22×C8C23×C1311yescharacteristic
1151C22×C8C23×C1311yescharacteristic
1152C4⋊Q8C23×C1311yescharacteristic
1153C4⋊Q8C23×C1311yescharacteristic
1154#127—21no—
1155#127—21no—
1156#127—21no—
1157#127C23×C1311yescharacteristic
1158#127C23×C1311yescharacteristic
1159#127C23×C1311yescharacteristic
1160#127C23×C1311yescharacteristic
1161#127C23×C1311yescharacteristic
1162#127C23×C1311yescharacteristic
1163#126—21no—
1164#126—21no—
1165#126—21no—
1166#126—21no—
1167#126—21no—
1168#126—21no—
1169#126—21no—
1170#126—21no—
1171#126—21no—
1172#126—21no—
1173#126—21no—
1174#126D4×C1311yescharacteristic
1175#126D4×C1311yescharacteristic
1176#125—21no—
1177#125—21no—
1178#125—21no—
1179#125D4×C1311yescharacteristic
1180#125C23×C1311yescharacteristic
1181#125C23×C1311yescharacteristic
1182#125C23×C1311yescharacteristic
1183#124—21no—
1184#124—21no—
1185#124—21no—
1186#124D4×C1311yescharacteristic
1187#124C23×C1311yescharacteristic
1188#124C23×C1311yescharacteristic
1189#124C23×C1311yescharacteristic
1190#124C23×C1311yescharacteristic
1191#124C23×C1311yescharacteristic
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123D4×C1311yescharacteristic
1210#123D4×C1311yescharacteristic
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8D4×C1311yescharacteristic
1217C22⋊Q8C23×C1311yescharacteristic
1218C22⋊Q8C23×C1311yescharacteristic
1219C22⋊Q8C23×C1311yescharacteristic
1220C22⋊Q8C23×C1311yescharacteristic
1221C22⋊Q8C23×C1311yescharacteristic
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121D4×C1311yescharacteristic
1245#121C23×C1311yescharacteristic
1246#121C23×C1311yescharacteristic
1247#121C23×C1311yescharacteristic
1248#121C23×C1311yescharacteristic
1249#121C23×C1311yescharacteristic
1250#121C23×C1311yescharacteristic
1251#121C23×C1311yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260#120—21no—
1261#120—21no—
1262#120—21no—
1263#120—21no—
1264#120—21no—
1265#120—21no—
1266C4×Q8—21no—
1267C4×Q8C23×C1311yescharacteristic
1268C4×Q8C23×C1311yescharacteristic
1269C4×Q8C23×C1311yescharacteristic
1270C4×Q8C23×C1311yescharacteristic
1271C4×Q8C23×C1311yescharacteristic
1272C4×Q8C23×C1311yescharacteristic
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4C23×C1311yescharacteristic
1285C4×D4C23×C1311yescharacteristic
1286C4×D4C23×C1311yescharacteristic
1287C4×D4C23×C1311yescharacteristic
1288C4×D4C23×C1311yescharacteristic
1289C4×D4C23×C1311yescharacteristic
1290C4×D4C23×C1311yescharacteristic
1291C4×D4C23×C1311yescharacteristic
1292C4×D4C23×C1311yescharacteristic
1293C4×D4C23×C1311yescharacteristic
1294C4×D4C23×C1311yescharacteristic
1295C4×D4C23×C1311yescharacteristic
1296C4×D4C23×C1311yescharacteristic
1297C4×D4C23×C1311yescharacteristic
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117—21no—
1304#117C23×C1311yescharacteristic
1305#117C23×C1311yescharacteristic
1306#117C23×C1311yescharacteristic
1307#117C23×C1311yescharacteristic
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—21no—
1311C2×C4⋊C4C23×C1311yescharacteristic
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—21no—
1317C2×C22⋊C4—21no—
1318C2×C42—21no—
1319C2×C42C23×C1311yescharacteristic
1320#107C23×C1311yescharacteristic
1321#107C23×C1311yescharacteristic
1322#107C23×C1311yescharacteristic
1323#107C23×C1311yescharacteristic
1324#106C23×C1311yescharacteristic
1325#106C23×C1311yescharacteristic
1326#106C23×C1311yescharacteristic
1327#106C23×C1311yescharacteristic
1328C4⋊C8C23×C1311yescharacteristic
1329C4⋊C8C23×C1311yescharacteristic
1330C4⋊C8C23×C1311yescharacteristic
1331C4⋊C8C23×C1311yescharacteristic
1332C4⋊C8C23×C1311yescharacteristic
1333C4⋊C8C23×C1311yescharacteristic
1334C4⋊C8C23×C1311yescharacteristic
1335C4⋊C8C23×C1311yescharacteristic
1336C4⋊C8C23×C1311yescharacteristic
1337C4⋊C8C23×C1311yescharacteristic
1338#103C23×C1311yescharacteristic
1339#103C23×C1311yescharacteristic
1340#103C23×C1311yescharacteristic
1341#103C23×C1311yescharacteristic
1342#103C23×C1311yescharacteristic
1343#103C23×C1311yescharacteristic
1344#103C23×C1311yescharacteristic
1345#103C23×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
1362#102C23×C1311yescharacteristic
1363#102C23×C1311yescharacteristic
1364#102C23×C1311yescharacteristic
1365#102C23×C1311yescharacteristic
1366#102C23×C1311yescharacteristic
1367#102C23×C1311yescharacteristic
1368#102C23×C1311yescharacteristic
1369#102C23×C1311yescharacteristic
1370C22⋊C8C23×C1311yescharacteristic
1371C22⋊C8C23×C1311yescharacteristic
1372C22⋊C8C23×C1311yescharacteristic
1373C22⋊C8C23×C1311yescharacteristic
1374C22⋊C8C23×C1311yescharacteristic
1375C22⋊C8C23×C1311yescharacteristic
1376#97C23×C1311yescharacteristic
1377#97C23×C1311yescharacteristic
1378#97C23×C1311yescharacteristic
1379#97C23×C1311yescharacteristic
1380C4×C8C23×C1311yescharacteristic
1381C4×C8C23×C1311yescharacteristic
1382C2×C13—41no—
1383C2×C13—41no—
1384C2×C13—41no—
1385C2×C13—42no—
1386C2×C13—81no—
1387C2×C13—81no—
1388C2×C13—81no—
1389C2×C13—81no—
1390C2×C13—81no—
1391C2×C13—81no—
1392C2×C13#348811yescharacteristic
1393C2×C13#358511yescharacteristic
1394C2×C13#358511yescharacteristic
1395C24—21no—
1396C24—21no—
1397C24—21no—
1398C24—21no—
1399C24—21no—
1400#41—22no—
1401#41—22no—
1402#41—41no—
1403#41—41no—
1404#41—41no—
1405#41—41no—
1406#41—41no—
1407#41—41no—
1408#41—82no—
1409C2×Q8—21no—
1410C2×Q8C2×D4×C1311yescharacteristic
1411C2×Q8C24×C1311yescharacteristic
1412C2×Q8C24×C1311yescharacteristic
1413C2×Q8C24×C1311yescharacteristic
1414C2×D4—22no—
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—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—41no—
1446C2×D4—41no—
1447C2×D4—41no—
1448C2×D4—41no—
1449C2×D4—41no—
1450C2×D4—41no—
1451C2×D4—41no—
1452C2×D4—82no—
1453C2×D4—82no—
1454C2×D4—82no—
1455C2×D4—82no—
1456C2×D4—82no—
1457C2×D4C2×D4×C1311yescharacteristic
1458C2×D4C2×D4×C1311yescharacteristic
1459C2×D4C2×D4×C1311yescharacteristic
1460C2×D4C24×C1311yescharacteristic
1461C2×D4C24×C1311yescharacteristic
1462C2×D4C24×C1311yescharacteristic
1463C2×D4C24×C1311yescharacteristic
1464C2×D4C24×C1311yescharacteristic
1465C2×D4C24×C1311yescharacteristic
1466C2×D4C24×C1311yescharacteristic
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—21no—
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4C2×D4×C1311yescharacteristic
1484C22×C4C2×D4×C1311yescharacteristic
1485C22×C4C24×C1311yescharacteristic
1486C22×C4C24×C1311yescharacteristic
1487C22×C4C24×C1311yescharacteristic
1488Q16—41no—
1489Q16—41no—
1490SD16—22no—
1491SD16—41no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495SD16—41no—
1496SD16—41no—
1497SD16—41no—
1498SD16—41no—
1499SD16—41no—
1500SD16—41no—
1501SD16—41no—
1502D8—22no—
1503D8—22no—
1504D8—22no—
1505D8—22no—
1506D8—22no—
1507D8—41no—
1508D8—41no—
1509D8—41no—
1510D8—41no—
1511D8—41no—
1512M16—41no—
1513M16—41no—
1514M16—41no—
1515M16—41no—
1516C2×C8—41no—
1517C2×C8—41no—
1518C2×C8C24×C1311yescharacteristic
1519C2×C8C24×C1311yescharacteristic
1520C2×C8C24×C1311yescharacteristic
1521C2×C8C24×C1311yescharacteristic
1522C2×C8C24×C1311yescharacteristic
1523C2×C8C24×C1311yescharacteristic
1524C2×C8C24×C1311yescharacteristic
1525C2×C8C24×C1311yescharacteristic
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⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4C2×D4×C1311yescharacteristic
1547C4⋊C4C2×D4×C1311yescharacteristic
1548C4⋊C4C2×D4×C1311yescharacteristic
1549C4⋊C4C2×D4×C1311yescharacteristic
1550C4⋊C4C2×D4×C1311yescharacteristic
1551C4⋊C4C2×D4×C1311yescharacteristic
1552C4⋊C4C2×D4×C1311yescharacteristic
1553C4⋊C4C2×D4×C1311yescharacteristic
1554C4⋊C4C2×D4×C1311yescharacteristic
1555C4⋊C4C2×D4×C1311yescharacteristic
1556C4⋊C4C24×C1311yescharacteristic
1557C4⋊C4C24×C1311yescharacteristic
1558C4⋊C4C24×C1311yescharacteristic
1559C4⋊C4C24×C1311yescharacteristic
1560C4⋊C4C24×C1311yescharacteristic
1561C4⋊C4C24×C1311yescharacteristic
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⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4C2×D4×C1311yescharacteristic
1598C22⋊C4C2×D4×C1311yescharacteristic
1599C22⋊C4C2×D4×C1311yescharacteristic
1600C22⋊C4C2×D4×C1311yescharacteristic
1601C22⋊C4C2×D4×C1311yescharacteristic
1602C22⋊C4C2×D4×C1311yescharacteristic
1603C22⋊C4C2×D4×C1311yescharacteristic
1604C22⋊C4C2×D4×C1311yescharacteristic
1605C22⋊C4C2×D4×C1311yescharacteristic
1606C22⋊C4C2×D4×C1311yescharacteristic
1607C42—21no—
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—21no—
1612C42—21no—
1613C42—21no—
1614C42C2×D4×C1311yescharacteristic
1615C42C2×D4×C1311yescharacteristic
1616C42C24×C1311yescharacteristic
1617C42C24×C1311yescharacteristic
1618C42C24×C1311yescharacteristic
1619C42C24×C1311yescharacteristic
1620C13#6207911yescharacteristic, direct product factor, Sylow
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—42no—
1629C23—42no—
1630C23—42no—
1631C23—81no—
1632C23—81no—
1633C23—81no—
1634C23—81no—
1635C23—81no—
1636C23—81no—
1637C23—81no—
1638C23—81no—
1639C23—81no—
1640C23—81no—
1641C23—81no—
1642C23—81no—
1643C23C22×D4×C1311yescharacteristic
1644C23C22×D4×C1311yescharacteristic
1645C23C22×D4×C1311yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—21no—
1650Q8—21no—
1651Q8—21no—
1652Q8—41no—
1653Q8—81no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—21no—
1667D4—41no—
1668D4—41no—
1669D4—41no—
1670D4—42no—
1671D4—42no—
1672D4—42no—
1673D4—42no—
1674D4—42no—
1675D4—42no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—81no—
1681D4—81no—
1682D4—81no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4C13×H(5,𝔽2)12yes—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—81no—
1723C2×C4—81no—
1724C2×C4—81no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—81no—
1728C2×C4—81no—
1729C2×C4—81no—
1730C2×C4—81no—
1731C2×C4—81no—
1732C2×C4C22×D4×C1311yescharacteristic
1733C2×C4C22×D4×C1311yescharacteristic
1734C2×C4C22×D4×C1311yescharacteristic
1735C2×C4C22×D4×C1311yescharacteristic
1736C2×C4C22×D4×C1311yescharacteristic
1737C2×C4C22×D4×C1311yescharacteristic
1738C2×C4C22×D4×C1311yescharacteristic
1739C2×C4C22×D4×C1311yescharacteristic
1740C2×C4C22×D4×C1311yescharacteristic
1741C2×C4C22×D4×C1311yescharacteristic
1742C2×C4C22×D4×C1311yescharacteristic
1743C2×C4C25×C1311yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—21no—
1749C8—21no—
1750C8—21no—
1751C8—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—22no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—162no—
1783C22—162no—
1784C22—162no—
1785C22—162no—
1786C22—162no—
1787C22C23×D4×C1311yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—21no—
1795C4—21no—
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4C2×C13×H(5,𝔽2)11yescharacteristic
1809C4C13×#58511yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—41no—
1813C2—42no—
1814C2—81no—
1815C2—81no—
1816C2—81no—
1817C2—81no—
1818C2—81no—
1819C2—81no—
1820C2C13×#348811yescharacteristic
1821C2C13×#358511yescharacteristic
1822C2C13×#358511yescharacteristic
subgroupG/H
center, socleC22×C13C23×D4
commutator, Frattini, cosocleC2×C4C25×C13
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C13 ◁ C13×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3543C2semidirect
2. C13×#3521C2semidirect
3. C13×#3401C2semidirect
4. C13×#3397C2semidirect
5. C13×#3370C2semidirect
6. C13×#3366C2semidirect
7. C13×#3324C2semidirect
8. C13×#3322C2semidirect
9. C13×#3318C2semidirect
10. C13×#3317C2semidirect
11. C13×#3311C2semidirect
12. C13×#3310C2semidirect
13. C13×#3273C2semidirect
14. C13×#3272C2semidirect
15. C13×#3268C2semidirect
16. C13×#3267C2semidirect
17. C13×#3264C2semidirect
18. C13×#3264C2semidirect
19. C13×#3260C2semidirect
20. C13×#3257C2semidirect
21. C13×#3256C2semidirect
22. C13×#3224C2semidirect
23. C13×#3222C2semidirect
24. C13×#3217C2semidirect
25. C13×#3122C2semidirect
26. C13×#3119C2semidirect
27. C13×#3111C2semidirect
28. C13×#3045C2semidirect
29. C13×#3041C2semidirect
30. C13×#3038C2semidirect
31. C13×#2995C2semidirect
32. C2×C13×AGL(1,ℤ/8)C22semidirect
33. C2×C13×AGL(1,ℤ/8)C22semidirect
34. C2×C13×AGL(1,ℤ/8)C22semidirect
35. C2×C13×AGL(1,ℤ/8)C22semidirect
36. C2×C13×#135C22semidirect
37. C22×C13×D8C22semidirect
40. C13×#559C22semidirect
41. C13×#556C22semidirect
42. C13×#556C22semidirect
43. C13×#554C22semidirect
45. C13×#553C22semidirect
47. C13×#552C22semidirect
51. C13×#550C22semidirect
52. C13×#547C22semidirect
55. C13×#546C22semidirect
56. C13×#546C22semidirect
57. C13×#546C22semidirect
61. D42×C13C22semidirect
62. C13×#542C22semidirect
63. C13×#541C22semidirect
66. C13×#540C22semidirect
71. C13×#535C22semidirect
74. C2×C13×#127C22semidirect
77. C13×#529C22semidirect
78. C13×#529C22semidirect
80. C13×#520C22semidirect
81. C13×#518C22semidirect
82. C4×C13×#41C22semidirect
83. C13×#497C22semidirect
85. C13×#496C22semidirect
86. C13×#496C22semidirect
87. C13×#495C22semidirect
88. C13×#492C22semidirect
89. C13×#490C22semidirect
90. C13×#490C22semidirect
91. C13×#490C22semidirect
92. C13×#489C22semidirect
93. C13×#488C22semidirect
94. C13×#486C22semidirect
95. C13×#485C22semidirect
96. C13×#482C22semidirect
97. C13×#482C22semidirect
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×#476C22semidirect
110. C13×#474C22semidirect
111. C13×#470C22semidirect
113. C13×#469C22semidirect
114. C13×#468C22semidirect
115. C13×#468C22semidirect
116. C13×#468C22semidirect
117. C13×#468C22semidirect
118. C13×#468C22semidirect
119. C13×#466C22semidirect
120. C13×#465C22semidirect
121. C13×#465C22semidirect
122. C13×#465C22semidirect
123. C13×#464C22semidirect
124. C13×#464C22semidirect
125. C13×#464C22semidirect
126. C13×#464C22semidirect
127. C13×#463C22semidirect
128. C13×#463C22semidirect
129. C13×#463C22semidirect
130. C13×#463C22semidirect
131. C13×#463C22semidirect
132. C13×#463C22semidirect
133. C13×#463C22semidirect
134. C13×#463C22semidirect
135. C13×#461C22semidirect
136. C13×#461C22semidirect
137. C13×#460C22semidirect
138. C13×#460C22semidirect
139. C13×#460C22semidirect
140. C13×#460C22semidirect
141. C13×#460C22semidirect
142. C13×#460C22semidirect
143. C13×#460C22semidirect
145. C13×#459C22semidirect
146. C13×#459C22semidirect
147. C13×#459C22semidirect
148. C13×#459C22semidirect
149. C13×#459C22semidirect
150. C13×#459C22semidirect
151. C13×#459C22semidirect
152. C13×#459C22semidirect
153. C13×#452C22semidirect
154. C13×#452C22semidirect
155. C13×#452C22semidirect
156. C13×#452C22semidirect
157. C13×#450C22semidirect
158. C13×#450C22semidirect
159. C13×#450C22semidirect
160. C13×#450C22semidirect
161. C13×#450C22semidirect
163. C13×#449C22semidirect
164. C13×#449C22semidirect
165. C13×#449C22semidirect
166. C13×#447C22semidirect
167. C13×#447C22semidirect
168. C13×#447C22semidirect
169. C13×#447C22semidirect
170. C13×#447C22semidirect
171. C13×#446C22semidirect
172. C13×#446C22semidirect
173. C13×#442C22semidirect
174. C13×#442C22semidirect
175. C13×#442C22semidirect
176. C13×#442C22semidirect
177. C13×#441C22semidirect
178. C13×#440C22semidirect
179. C13×#440C22semidirect
180. C13×#440C22semidirect
181. C4×C13×SD16C22semidirect
182. C4×C13×D8C22semidirect
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×#433C22semidirect
192. C13×#433C22semidirect
193. C13×#432C22semidirect
194. C13×#424C22semidirect
195. C13×#424C22semidirect
196. C13×#423C22semidirect
197. C13×#418C22semidirect
198. C13×#418C22semidirect
199. C13×#418C22semidirect
200. C13×#417C22semidirect
201. C13×#416C22semidirect
202. C2×C13×#102C22semidirect
484. #62079C13direct (N × H)
710. #3543C2×C13semidirect
711. #3521C2×C13semidirect
712. #3401C2×C13semidirect
713. #3397C2×C13semidirect
714. #3370C2×C13semidirect
715. #3366C2×C13semidirect
716. #3324C2×C13semidirect
717. #3322C2×C13semidirect
718. #3318C2×C13semidirect
719. #3317C2×C13semidirect
720. #3311C2×C13semidirect
721. #3310C2×C13semidirect
722. #3273C2×C13semidirect
723. #3272C2×C13semidirect
724. #3268C2×C13semidirect
725. #3267C2×C13semidirect
726. #3264C2×C13semidirect
727. #3264C2×C13semidirect
728. #3260C2×C13semidirect
729. #3257C2×C13semidirect
730. #3256C2×C13semidirect
731. #3224C2×C13semidirect
732. #3222C2×C13semidirect
733. #3217C2×C13semidirect
734. #3122C2×C13semidirect
735. #3119C2×C13semidirect
736. #3111C2×C13semidirect
737. #3045C2×C13semidirect
738. #3041C2×C13semidirect
739. #3038C2×C13semidirect
740. #2995C2×C13semidirect
872. C2×AGL(1,ℤ/8)C22×C13semidirect
873. C2×AGL(1,ℤ/8)C22×C13semidirect
874. C2×AGL(1,ℤ/8)C22×C13semidirect
875. C2×AGL(1,ℤ/8)C22×C13semidirect
876. C2×#135C22×C13semidirect
877. C22×D8C22×C13semidirect
880. #559C22×C13semidirect
881. #556C22×C13semidirect
882. #556C22×C13semidirect
883. #554C22×C13semidirect
885. #553C22×C13semidirect
887. #552C22×C13semidirect
891. #550C22×C13semidirect
892. #547C22×C13semidirect
895. #546C22×C13semidirect
896. #546C22×C13semidirect
897. #546C22×C13semidirect
901. D42C22×C13semidirect
902. #542C22×C13semidirect
903. #541C22×C13semidirect
906. #540C22×C13semidirect
911. #535C22×C13semidirect
914. C2×#127C22×C13semidirect
917. #529C22×C13semidirect
918. #529C22×C13semidirect
920. #520C22×C13semidirect
921. #518C22×C13semidirect
922. C4×#41C22×C13semidirect
923. #497C22×C13semidirect
925. #496C22×C13semidirect
926. #496C22×C13semidirect
927. #495C22×C13semidirect
928. #492C22×C13semidirect
929. #490C22×C13semidirect
930. #490C22×C13semidirect
931. #490C22×C13semidirect
932. #489C22×C13semidirect
933. #488C22×C13semidirect
934. #486C22×C13semidirect
935. #485C22×C13semidirect
936. #482C22×C13semidirect
937. #482C22×C13semidirect
938. #482C22×C13semidirect
939. #481C22×C13semidirect
940. #480C22×C13semidirect
941. #479C22×C13semidirect
942. #479C22×C13semidirect
943. #479C22×C13semidirect
944. #478C22×C13semidirect
945. #478C22×C13semidirect
946. #478C22×C13semidirect
947. #478C22×C13semidirect
948. #478C22×C13semidirect
949. #476C22×C13semidirect
950. #474C22×C13semidirect
951. #470C22×C13semidirect
953. #469C22×C13semidirect
954. #468C22×C13semidirect
955. #468C22×C13semidirect
956. #468C22×C13semidirect
957. #468C22×C13semidirect
958. #468C22×C13semidirect
959. #466C22×C13semidirect
960. #465C22×C13semidirect
961. #465C22×C13semidirect
962. #465C22×C13semidirect
963. #464C22×C13semidirect
964. #464C22×C13semidirect
965. #464C22×C13semidirect
966. #464C22×C13semidirect
967. #463C22×C13semidirect
968. #463C22×C13semidirect
969. #463C22×C13semidirect
970. #463C22×C13semidirect
971. #463C22×C13semidirect
972. #463C22×C13semidirect
973. #463C22×C13semidirect
974. #463C22×C13semidirect
975. #461C22×C13semidirect
976. #461C22×C13semidirect
977. #460C22×C13semidirect
978. #460C22×C13semidirect
979. #460C22×C13semidirect
980. #460C22×C13semidirect
981. #460C22×C13semidirect
982. #460C22×C13semidirect
983. #460C22×C13semidirect
985. #459C22×C13semidirect
986. #459C22×C13semidirect
987. #459C22×C13semidirect
988. #459C22×C13semidirect
989. #459C22×C13semidirect
990. #459C22×C13semidirect
991. #459C22×C13semidirect
992. #459C22×C13semidirect
993. #452C22×C13semidirect
994. #452C22×C13semidirect
995. #452C22×C13semidirect
996. #452C22×C13semidirect
997. #450C22×C13semidirect
998. #450C22×C13semidirect
999. #450C22×C13semidirect
1000. #450C22×C13semidirect
1001. #450C22×C13semidirect
1003. #449C22×C13semidirect
1004. #449C22×C13semidirect
1005. #449C22×C13semidirect
1006. #447C22×C13semidirect
1007. #447C22×C13semidirect
1008. #447C22×C13semidirect
1009. #447C22×C13semidirect
1010. #447C22×C13semidirect
1011. #446C22×C13semidirect
1012. #446C22×C13semidirect
1013. #442C22×C13semidirect
1014. #442C22×C13semidirect
1015. #442C22×C13semidirect
1016. #442C22×C13semidirect
1017. #441C22×C13semidirect
1018. #440C22×C13semidirect
1019. #440C22×C13semidirect
1020. #440C22×C13semidirect
1021. C4×SD16C22×C13semidirect
1022. C4×D8C22×C13semidirect
1023. C4×D8C22×C13semidirect
1024. C4×D8C22×C13semidirect
1025. #436C22×C13semidirect
1026. #436C22×C13semidirect
1027. #435C22×C13semidirect
1028. #435C22×C13semidirect
1029. #435C22×C13semidirect
1030. #435C22×C13semidirect
1031. #433C22×C13semidirect
1032. #433C22×C13semidirect
1033. #432C22×C13semidirect
1034. #424C22×C13semidirect
1035. #424C22×C13semidirect
1036. #423C22×C13semidirect
1037. #418C22×C13semidirect
1038. #418C22×C13semidirect
1039. #418C22×C13semidirect
1040. #417C22×C13semidirect
1041. #416C22×C13semidirect
1042. C2×#102C22×C13semidirect
1620. C13#62079direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35432
C13×#35212
C13×#34012
C13×#33972
C13×#33702
C13×#33662
C13×#33242
C13×#33222
C13×#33182
C13×#33172
C13×#33112
C13×#33102
C13×#32732
C13×#32722
C13×#32682
C13×#32672
C13×#32642
C13×#32602
C13×#32572
C13×#32562
C13×#32242
C13×#32222
C13×#32172
C13×#31222
C13×#31192
C13×#31112
C13×#30452
C13×#30412
C13×#30382
C13×#29952
#6207913