Finite Group Databasebeta

← C13×#62009 #15748348

Subgroups — C13×#62009 #15748348

Order 3328.

1896 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×#3543C211yesmaximal, characteristic, complemented
2C13×#3516C211yesmaximal, characteristic, complemented
3C13×#3401C211yesmaximal, characteristic, complemented
4C13×#3397C211yesmaximal, characteristic, complemented
5C13×#3371C211yesmaximal, characteristic, complemented
6C13×#3368C211yesmaximal, characteristic, complemented
7C13×#3318C211yesmaximal, characteristic, complemented
8C13×#3317C211yesmaximal, characteristic, complemented
9C13×#3314C211yesmaximal, characteristic, complemented
10C13×#3310C211yesmaximal, characteristic, complemented
11C13×#3297C211yesmaximal, characteristic, complemented
12C13×#3295C211yesmaximal, characteristic, complemented
13C13×#3282C211yesmaximal, characteristic, complemented
14D4×C13×SD16C211yesmaximal, characteristic, complemented
15C13×#3271C211yesmaximal, characteristic, complemented
16C13×#3266C211yesmaximal, characteristic, complemented
17C13×#3265C211yesmaximal, characteristic, complemented
18C13×#3265C211yesmaximal, characteristic, complemented
19C13×#3260C211yesmaximal, characteristic, complemented
20C13×#3257C211yesmaximal, characteristic, complemented
21C13×#3250C211yesmaximal, characteristic, complemented
22C13×#3224C211yesmaximal, characteristic, complemented
23C13×#3222C211yesmaximal, characteristic, complemented
24C13×#3217C211yesmaximal, characteristic, complemented
25C13×#3126C211yesmaximal, characteristic, complemented
26C13×#3119C211yesmaximal, characteristic, complemented
27C13×#3117C211yesmaximal, characteristic, complemented
28C13×#3045C211yesmaximal, characteristic, complemented
29C13×#3043C211yesmaximal, characteristic, complemented
30C2×C13×#460C211yesmaximal, characteristic, complemented
31C13×#2992C211yesmaximal, characteristic, complemented
32C2×C13×#137C2211yescharacteristic, complemented
33C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×C13×#135C2211yescharacteristic, complemented
35C22×C13×SD16C2211yescharacteristic, complemented
36C22×C13×SD16C2211yescharacteristic, complemented
37C22×C13×SD16C2211yescharacteristic, complemented
38C13×#560—21no—
39C13×#560—21no—
40C13×#559C2211yescharacteristic
41C13×#557C2211yescharacteristic, complemented
42C13×#556—21no—
43C13×#556C2211yescharacteristic, complemented
44C13×#554—21no—
45C13×#554C2211yescharacteristic, complemented
46C13×#553—21no—
47C13×#553C2211yescharacteristic, complemented
48C13×#552—21no—
49C13×#552C2211yescharacteristic, complemented
50C13×#550C2211yescharacteristic
51C13×#550C2211yescharacteristic
52D4×Q8×C13C2211yescharacteristic, complemented
53C13×#548C2211yescharacteristic, complemented
54C13×#548C2211yescharacteristic, complemented
55C13×#546—21no—
56C13×#546C2211yescharacteristic
57C13×#546C2211yescharacteristic
58D42×C13—21no—
59D42×C13C2211yescharacteristic
60D42×C13C2211yescharacteristic
61D42×C13C2211yescharacteristic
62C13×#542—21no—
63C13×#542C2211yescharacteristic, complemented
64C13×#541—21no—
65C13×#541C2211yescharacteristic, complemented
66C13×#540—21no—
67C13×#540C2211yescharacteristic
68C13×#540C2211yescharacteristic
69C13×#535—21no—
70C13×#535C2211yescharacteristic
71C13×#535C2211yescharacteristic
72C13×#534—21no—
73C13×#534—21no—
74C2×C13×#127C2211yescharacteristic
75C13×#529—21no—
76C13×#529—21no—
77C13×#529C2211yescharacteristic
78C13×#529C2211yescharacteristic
79C13×#529C2211yescharacteristic, complemented
80C13×#520C2211yescharacteristic, complemented
81C13×#519C2211yescharacteristic, complemented
82C2×C4×Q8×C13C2211yescharacteristic, complemented
83C13×#497C2211yescharacteristic, complemented
84C13×#496C2211yescharacteristic
85C13×#496C2211yescharacteristic, complemented
86C13×#496C2211yescharacteristic, complemented
87C13×#495C2211yescharacteristic, complemented
88C13×#492C2211yescharacteristic, complemented
89C13×#490C2211yescharacteristic
90C13×#490C2211yescharacteristic, complemented
91C13×#490C2211yescharacteristic, complemented
92C13×#489C2211yescharacteristic, complemented
93C13×#488C2211yescharacteristic, complemented
94C13×#486C2211yescharacteristic, complemented
95C13×#484C2211yescharacteristic, complemented
96C13×#482C2211yescharacteristic, complemented
97C13×#482C2211yescharacteristic, complemented
98C13×#481C2211yescharacteristic
99C13×#481C2211yescharacteristic, complemented
100C13×#480C2211yescharacteristic, complemented
101C13×#479C2211yescharacteristic, complemented
102C13×#479C2211yescharacteristic, complemented
103C13×#479C2211yescharacteristic, complemented
104C13×#479C2211yescharacteristic, complemented
105C13×#478C2211yescharacteristic, complemented
106C13×#478C2211yescharacteristic, complemented
107C13×#478C2211yescharacteristic, complemented
108C13×#478C2211yescharacteristic, complemented
109C13×#476C2211yescharacteristic, complemented
110C13×#474C2211yescharacteristic, complemented
111C13×#469C2211yescharacteristic, complemented
112C13×#468C2211yescharacteristic, complemented
113C13×#468C2211yescharacteristic, complemented
114C13×#468C2211yescharacteristic, complemented
115C13×#467C2211yescharacteristic, complemented
116C13×#466C2211yescharacteristic
117C13×#466C2211yescharacteristic, complemented
118C13×#465C2211yescharacteristic
119C13×#465C2211yescharacteristic, complemented
120C13×#465C2211yescharacteristic, complemented
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, complemented
131C13×#463C2211yescharacteristic, complemented
132C13×#463C2211yescharacteristic, complemented
133C13×#463C2211yescharacteristic, complemented
134C13×#463C2211yescharacteristic, complemented
135C13×#461C2211yescharacteristic, complemented
136C13×#461C2211yescharacteristic, complemented
137C13×#460C2211yescharacteristic
138C13×#460C2211yescharacteristic
139C13×#460C2211yescharacteristic, complemented
140C13×#460C2211yescharacteristic, complemented
141C13×#460C2211yescharacteristic, complemented
142C13×#460C2211yescharacteristic, complemented
143C13×#460C2211yescharacteristic, complemented
144C13×#460C2211yescharacteristic, complemented
145C13×#460C2211yescharacteristic, complemented
146C13×#460C2211yescharacteristic, complemented
147C13×#460C2211yescharacteristic, complemented
148C13×#460C2211yescharacteristic, complemented
149C13×#460C2211yescharacteristic, complemented
150C13×#459C2211yescharacteristic, complemented
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×#450C2211yescharacteristic, complemented
161C13×#450C2211yescharacteristic, complemented
162C13×#449C2211yescharacteristic, complemented
163C13×#449C2211yescharacteristic, complemented
164C13×#449C2211yescharacteristic, complemented
165C13×#448C2211yescharacteristic
166C13×#448C2211yescharacteristic, complemented
167C13×#448C2211yescharacteristic, complemented
168C13×#447C2211yescharacteristic, complemented
169C13×#447C2211yescharacteristic, complemented
170C13×#447C2211yescharacteristic, complemented
171C13×#446C2211yescharacteristic, complemented
172C13×#446C2211yescharacteristic, complemented
173C13×#442C2211yescharacteristic, complemented
174C13×#441C2211yescharacteristic, complemented
175C13×#441C2211yescharacteristic, complemented
176C13×#440C2211yescharacteristic, complemented
177C13×#440C2211yescharacteristic, complemented
178C13×#440C2211yescharacteristic, complemented
179C13×#440C2211yescharacteristic, complemented
180C13×#440C2211yescharacteristic, complemented
181C4×C13×SD16C2211yescharacteristic, complemented
182C4×C13×SD16C2211yescharacteristic, complemented
183C4×C13×SD16C2211yescharacteristic, complemented
184C4×C13×D8C2211yescharacteristic, complemented
185C13×#435C2211yescharacteristic, complemented
186C13×#435C2211yescharacteristic, complemented
187C13×#435C2211yescharacteristic, complemented
188C13×#435C2211yescharacteristic, complemented
189C8×D4×C13C2211yescharacteristic, complemented
190C8×D4×C13C2211yescharacteristic, complemented
191C13×#433C2211yescharacteristic, complemented
192C13×#433C2211yescharacteristic, complemented
193C13×#432C2211yescharacteristic, complemented
194C13×#424C2211yescharacteristic, complemented
195C13×#424C2211yescharacteristic, complemented
196C2×C13×C4⋊C8C2211yescharacteristic, complemented
197C13×#418C2211yescharacteristic, complemented
198C13×#417C2211yescharacteristic, complemented
199C13×#416C2211yescharacteristic, complemented
200C2×C13×#102C2211yescharacteristic, complemented
201C2×C13×#102C2211yescharacteristic, complemented
202C2×C13×#102C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41C2311yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C2×C13×#41C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic
208C22×Q8×C13C2311yescharacteristic
209C22×D4×C13—21no—
210C22×D4×C13—21no—
211C22×D4×C13—21no—
212C22×D4×C13—21no—
213C22×D4×C13—21no—
214C22×D4×C13C2311yescharacteristic
215C22×D4×C13C2311yescharacteristic
216C22×D4×C13C2311yescharacteristic
217C22×D4×C13C2311yescharacteristic
218C13×#137—42no—
219C13×AGL(1,ℤ/8)—42no—
220C13×#135—42no—
221C2×C13×Q16C2311yescharacteristic
222C2×C13×Q16C2311yescharacteristic
223C2×C13×Q16C2311yescharacteristic
224C2×C13×SD16—42no—
225C2×C13×SD16—42no—
226C2×C13×SD16—42no—
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×SD16C2311yescharacteristic
239C2×C13×SD16C2311yescharacteristic
240C2×C13×SD16C2311yescharacteristic
241C2×C13×SD16C2311yescharacteristic
242C2×C13×SD16C2311yescharacteristic
243C2×C13×D8C2311yescharacteristic
244C2×C13×D8C2311yescharacteristic
245C2×C13×D8C2311yescharacteristic
246C2×C13×D8C2311yescharacteristic
247C2×C13×D8C2311yescharacteristic
248C2×C13×M16C2311yescharacteristic
249C2×C13×M16C2311yescharacteristic
250C22×C8×C13C2311yescharacteristic
251C22×C8×C13C2311yescharacteristic
252C22×C8×C13C2311yescharacteristic
253C22×C8×C13C2311yescharacteristic
254C13×C4⋊Q8—21no—
255C13×C4⋊Q8—21no—
256C13×C4⋊Q8C2311yescharacteristic
257C13×C4⋊Q8C2311yescharacteristic
258C13×#127—21no—
259C13×#127—21no—
260C13×#127—21no—
261C13×#127C2311yescharacteristic
262C13×#127C2311yescharacteristic
263C13×#127C2311yescharacteristic
264C13×#127C2311yescharacteristic
265C13×#127C2311yescharacteristic
266C13×#127C2311yescharacteristic
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×#125—21no—
282C13×#125—21no—
283C13×#125—21no—
284C13×#125D411yescharacteristic
285C13×#125C2311yescharacteristic
286C13×#125C2311yescharacteristic
287C13×#125C2311yescharacteristic
288C13×#124—21no—
289C13×#124—21no—
290C13×#124—21no—
291C13×#124—21no—
292C13×#124D411yescharacteristic
293C13×#124C2311yescharacteristic
294C13×#124C2311yescharacteristic
295C13×#124C2311yescharacteristic
296C13×#124C2311yescharacteristic
297C13×#124C2311yescharacteristic
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⋊Q8—21no—
319C13×C22⋊Q8—21no—
320C13×C22⋊Q8—21no—
321C13×C22⋊Q8D411yescharacteristic
322C13×C22⋊Q8C2311yescharacteristic
323C13×C22⋊Q8C2311yescharacteristic
324C13×C22⋊Q8C2311yescharacteristic
325C13×C22⋊Q8C2311yescharacteristic
326C13×C22⋊Q8C2311yescharacteristic
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×#121—21no—
347C13×#121—21no—
348C13×#121D411yescharacteristic
349C13×#121C2311yescharacteristic
350C13×#121C2311yescharacteristic
351C13×#121C2311yescharacteristic
352C13×#121C2311yescharacteristic
353C13×#121C2311yescharacteristic
354C13×#121C2311yescharacteristic
355C13×#121C2311yescharacteristic
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×C13—21no—
370C4×Q8×C13—21no—
371C4×Q8×C13—21no—
372C4×Q8×C13—21no—
373C4×Q8×C13C2311yescharacteristic
374C4×Q8×C13C2311yescharacteristic
375C4×Q8×C13C2311yescharacteristic
376C4×Q8×C13C2311yescharacteristic
377C4×Q8×C13C2311yescharacteristic
378C4×Q8×C13C2311yescharacteristic
379C4×Q8×C13C2311yescharacteristic
380C4×Q8×C13C2311yescharacteristic
381C4×Q8×C13C2311yescharacteristic
382C4×Q8×C13C2311yescharacteristic
383C4×D4×C13—21no—
384C4×D4×C13—21no—
385C4×D4×C13—21no—
386C4×D4×C13—21no—
387C4×D4×C13—21no—
388C4×D4×C13—21no—
389C4×D4×C13—21no—
390C4×D4×C13—21no—
391C4×D4×C13—21no—
392C4×D4×C13—21no—
393C4×D4×C13—21no—
394C4×D4×C13C2311yescharacteristic
395C4×D4×C13C2311yescharacteristic
396C4×D4×C13C2311yescharacteristic
397C4×D4×C13C2311yescharacteristic
398C4×D4×C13C2311yescharacteristic
399C4×D4×C13C2311yescharacteristic
400C4×D4×C13C2311yescharacteristic
401C4×D4×C13C2311yescharacteristic
402C4×D4×C13C2311yescharacteristic
403C4×D4×C13C2311yescharacteristic
404C13×#117—21no—
405C13×#117—21no—
406C13×#117—21no—
407C13×#117—21no—
408C13×#117—21no—
409C13×#117—21no—
410C13×#117—21no—
411C13×#117C2311yescharacteristic
412C13×#117C2311yescharacteristic
413C13×#117C2311yescharacteristic
414C2×C13×C4⋊C4—21no—
415C2×C13×C4⋊C4—21no—
416C2×C13×C4⋊C4C2311yescharacteristic
417C2×C13×C4⋊C4C2311yescharacteristic
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×#103C2311yescharacteristic
449C13×#103C2311yescharacteristic
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#62009C1311yesmaximal, characteristic, direct product factor, Sylow
485C24×C13—21no—
486C24×C13—21no—
487C24×C13—21no—
488C24×C13—21no—
489C13×#41—22no—
490C13×#41—41no—
491C13×#41—41no—
492C13×#41—41no—
493C13×#41—41no—
494C13×#41—41no—
495C13×#41—82no—
496C2×Q8×C13—21no—
497C2×Q8×C13—21no—
498C2×Q8×C13—21no—
499C2×Q8×C13—22no—
500C2×Q8×C13—22no—
501C2×Q8×C13—41no—
502C2×Q8×C13—41no—
503C2×Q8×C13C2×D411yescharacteristic
504C2×Q8×C13C2411yescharacteristic
505C2×Q8×C13C2411yescharacteristic
506C2×Q8×C13C2411yescharacteristic
507C2×Q8×C13C2411yescharacteristic
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—21no—
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
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—21no—
565C22×C4×C13—21no—
566C22×C4×C13—21no—
567C22×C4×C13—21no—
568C22×C4×C13—21no—
569C22×C4×C13—21no—
570C22×C4×C13C2×D411yescharacteristic
571C22×C4×C13C2×D411yescharacteristic
572C22×C4×C13C2411yescharacteristic
573C22×C4×C13C2411yescharacteristic
574C22×C4×C13C2411yescharacteristic
575C13×Q16—22no—
576C13×Q16—41no—
577C13×Q16—41no—
578C13×SD16—22no—
579C13×SD16—22no—
580C13×SD16—22no—
581C13×SD16—22no—
582C13×SD16—22no—
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×SD16—41no—
593C13×SD16—41no—
594C13×D8—41no—
595C13×D8—41no—
596C13×D8—41no—
597C13×D8—41no—
598C13×D8—41no—
599C13×M16—41no—
600C13×M16—41no—
601C2×C8×C13—41no—
602C2×C8×C13—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⋊C4—21no—
635C13×C4⋊C4—21no—
636C13×C4⋊C4—21no—
637C13×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
647C13×C4⋊C4C2×D411yescharacteristic
648C13×C4⋊C4C2411yescharacteristic
649C13×C4⋊C4C2411yescharacteristic
650C13×C4⋊C4C2411yescharacteristic
651C13×C4⋊C4C2411yescharacteristic
652C13×C4⋊C4C2411yescharacteristic
653C13×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
685C13×C22⋊C4C2×D411yescharacteristic
686C13×C22⋊C4C2×D411yescharacteristic
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
694C42×C13—21no—
695C42×C13—21no—
696C42×C13—21no—
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#3516C2×C1311yescharacteristic, complemented
712#3401C2×C1311yescharacteristic, complemented
713#3397C2×C1311yescharacteristic, complemented
714#3371C2×C1311yescharacteristic, complemented
715#3368C2×C1311yescharacteristic, complemented
716#3318C2×C1311yescharacteristic, complemented
717#3317C2×C1311yescharacteristic, complemented
718#3314C2×C1311yescharacteristic, complemented
719#3310C2×C1311yescharacteristic, complemented
720#3297C2×C1311yescharacteristic, complemented
721#3295C2×C1311yescharacteristic, complemented
722#3282C2×C1311yescharacteristic, complemented
723D4×SD16C2×C1311yescharacteristic, complemented
724#3271C2×C1311yescharacteristic, complemented
725#3266C2×C1311yescharacteristic, complemented
726#3265C2×C1311yescharacteristic, complemented
727#3265C2×C1311yescharacteristic, complemented
728#3260C2×C1311yescharacteristic, complemented
729#3257C2×C1311yescharacteristic, complemented
730#3250C2×C1311yescharacteristic, complemented
731#3224C2×C1311yescharacteristic, complemented
732#3222C2×C1311yescharacteristic, complemented
733#3217C2×C1311yescharacteristic, complemented
734#3126C2×C1311yescharacteristic, complemented
735#3119C2×C1311yescharacteristic, complemented
736#3117C2×C1311yescharacteristic, complemented
737#3045C2×C1311yescharacteristic, complemented
738#3043C2×C1311yescharacteristic, complemented
739C2×#460C2×C1311yescharacteristic, complemented
740#2992C2×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—81no—
750C23×C13—81no—
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×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—41no—
770Q8×C13—42no—
771Q8×C13—42no—
772Q8×C13—81no—
773Q8×C13H(5,𝔽2)12yes—
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—21no—
788D4×C13—41no—
789D4×C13—42no—
790D4×C13—42no—
791D4×C13—42no—
792D4×C13—42no—
793D4×C13—42no—
794D4×C13—81no—
795D4×C13—81no—
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—
815C2×C4×C13—22no—
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—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—41no—
833C2×C4×C13—42no—
834C2×C4×C13—42no—
835C2×C4×C13—42no—
836C2×C4×C13—42no—
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, complemented
869C2×#135C22×C1311yescharacteristic, complemented
870C22×SD16C22×C1311yescharacteristic, complemented
871C22×SD16C22×C1311yescharacteristic, complemented
872C22×SD16C22×C1311yescharacteristic, complemented
873#560—21no—
874#560—21no—
875#559C22×C1311yescharacteristic
876#557C22×C1311yescharacteristic, complemented
877#556—21no—
878#556C22×C1311yescharacteristic, complemented
879#554—21no—
880#554C22×C1311yescharacteristic, complemented
881#553—21no—
882#553C22×C1311yescharacteristic, complemented
883#552—21no—
884#552C22×C1311yescharacteristic, complemented
885#550C22×C1311yescharacteristic
886#550C22×C1311yescharacteristic
887D4×Q8C22×C1311yescharacteristic, complemented
888#548C22×C1311yescharacteristic, complemented
889#548C22×C1311yescharacteristic, complemented
890#546—21no—
891#546C22×C1311yescharacteristic
892#546C22×C1311yescharacteristic
893D42—21no—
894D42C22×C1311yescharacteristic
895D42C22×C1311yescharacteristic
896D42C22×C1311yescharacteristic
897#542—21no—
898#542C22×C1311yescharacteristic, complemented
899#541—21no—
900#541C22×C1311yescharacteristic, complemented
901#540—21no—
902#540C22×C1311yescharacteristic
903#540C22×C1311yescharacteristic
904#535—21no—
905#535C22×C1311yescharacteristic
906#535C22×C1311yescharacteristic
907#534—21no—
908#534—21no—
909C2×#127C22×C1311yescharacteristic
910#529—21no—
911#529—21no—
912#529C22×C1311yescharacteristic
913#529C22×C1311yescharacteristic
914#529C22×C1311yescharacteristic, complemented
915#520C22×C1311yescharacteristic, complemented
916#519C22×C1311yescharacteristic, complemented
917C2×C4×Q8C22×C1311yescharacteristic, complemented
918#497C22×C1311yescharacteristic, complemented
919#496C22×C1311yescharacteristic
920#496C22×C1311yescharacteristic, complemented
921#496C22×C1311yescharacteristic, complemented
922#495C22×C1311yescharacteristic, complemented
923#492C22×C1311yescharacteristic, complemented
924#490C22×C1311yescharacteristic
925#490C22×C1311yescharacteristic, complemented
926#490C22×C1311yescharacteristic, complemented
927#489C22×C1311yescharacteristic, complemented
928#488C22×C1311yescharacteristic, complemented
929#486C22×C1311yescharacteristic, complemented
930#484C22×C1311yescharacteristic, complemented
931#482C22×C1311yescharacteristic, complemented
932#482C22×C1311yescharacteristic, complemented
933#481C22×C1311yescharacteristic
934#481C22×C1311yescharacteristic, complemented
935#480C22×C1311yescharacteristic, complemented
936#479C22×C1311yescharacteristic, complemented
937#479C22×C1311yescharacteristic, complemented
938#479C22×C1311yescharacteristic, complemented
939#479C22×C1311yescharacteristic, complemented
940#478C22×C1311yescharacteristic, complemented
941#478C22×C1311yescharacteristic, complemented
942#478C22×C1311yescharacteristic, complemented
943#478C22×C1311yescharacteristic, complemented
944#476C22×C1311yescharacteristic, complemented
945#474C22×C1311yescharacteristic, complemented
946#469C22×C1311yescharacteristic, complemented
947#468C22×C1311yescharacteristic, complemented
948#468C22×C1311yescharacteristic, complemented
949#468C22×C1311yescharacteristic, complemented
950#467C22×C1311yescharacteristic, complemented
951#466C22×C1311yescharacteristic
952#466C22×C1311yescharacteristic, complemented
953#465C22×C1311yescharacteristic
954#465C22×C1311yescharacteristic, complemented
955#465C22×C1311yescharacteristic, complemented
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, complemented
966#463C22×C1311yescharacteristic, complemented
967#463C22×C1311yescharacteristic, complemented
968#463C22×C1311yescharacteristic, complemented
969#463C22×C1311yescharacteristic, complemented
970#461C22×C1311yescharacteristic, complemented
971#461C22×C1311yescharacteristic, complemented
972#460C22×C1311yescharacteristic
973#460C22×C1311yescharacteristic
974#460C22×C1311yescharacteristic, complemented
975#460C22×C1311yescharacteristic, complemented
976#460C22×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#460C22×C1311yescharacteristic, complemented
985#459C22×C1311yescharacteristic, complemented
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#450C22×C1311yescharacteristic, complemented
996#450C22×C1311yescharacteristic, complemented
997#449C22×C1311yescharacteristic, complemented
998#449C22×C1311yescharacteristic, complemented
999#449C22×C1311yescharacteristic, complemented
1000#448C22×C1311yescharacteristic
1001#448C22×C1311yescharacteristic, complemented
1002#448C22×C1311yescharacteristic, complemented
1003#447C22×C1311yescharacteristic, complemented
1004#447C22×C1311yescharacteristic, complemented
1005#447C22×C1311yescharacteristic, complemented
1006#446C22×C1311yescharacteristic, complemented
1007#446C22×C1311yescharacteristic, complemented
1008#442C22×C1311yescharacteristic, complemented
1009#441C22×C1311yescharacteristic, complemented
1010#441C22×C1311yescharacteristic, complemented
1011#440C22×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×SD16C22×C1311yescharacteristic, complemented
1019C4×D8C22×C1311yescharacteristic, complemented
1020#435C22×C1311yescharacteristic, complemented
1021#435C22×C1311yescharacteristic, complemented
1022#435C22×C1311yescharacteristic, complemented
1023#435C22×C1311yescharacteristic, complemented
1024C8×D4C22×C1311yescharacteristic, complemented
1025C8×D4C22×C1311yescharacteristic, complemented
1026#433C22×C1311yescharacteristic, complemented
1027#433C22×C1311yescharacteristic, complemented
1028#432C22×C1311yescharacteristic, complemented
1029#424C22×C1311yescharacteristic, complemented
1030#424C22×C1311yescharacteristic, complemented
1031C2×C4⋊C8C22×C1311yescharacteristic, complemented
1032#418C22×C1311yescharacteristic, complemented
1033#417C22×C1311yescharacteristic, complemented
1034#416C22×C1311yescharacteristic, complemented
1035C2×#102C22×C1311yescharacteristic, complemented
1036C2×#102C22×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—21no—
1045C22×C13—21no—
1046C22×C13—41no—
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—162no—
1065C22×C13—162no—
1066C22×C13—162no—
1067C22×C13—162no—
1068C22×C13#57712yes—
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—22no—
1078C4×C13—21no—
1079C4×C13—21no—
1080C4×C13—21no—
1081C4×C13—21no—
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×#41C23×C1311yescharacteristic
1095C2×#41C23×C1311yescharacteristic
1096C2×#41C23×C1311yescharacteristic
1097C22×Q8C23×C1311yescharacteristic
1098C22×Q8C23×C1311yescharacteristic
1099C22×D4—21no—
1100C22×D4—21no—
1101C22×D4—21no—
1102C22×D4—21no—
1103C22×D4—21no—
1104C22×D4C23×C1311yescharacteristic
1105C22×D4C23×C1311yescharacteristic
1106C22×D4C23×C1311yescharacteristic
1107C22×D4C23×C1311yescharacteristic
1108#137—42no—
1109AGL(1,ℤ/8)—42no—
1110#135—42no—
1111C2×Q16C23×C1311yescharacteristic
1112C2×Q16C23×C1311yescharacteristic
1113C2×Q16C23×C1311yescharacteristic
1114C2×SD16—42no—
1115C2×SD16—42no—
1116C2×SD16—42no—
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×SD16C23×C1311yescharacteristic
1129C2×SD16C23×C1311yescharacteristic
1130C2×SD16C23×C1311yescharacteristic
1131C2×SD16C23×C1311yescharacteristic
1132C2×SD16C23×C1311yescharacteristic
1133C2×D8C23×C1311yescharacteristic
1134C2×D8C23×C1311yescharacteristic
1135C2×D8C23×C1311yescharacteristic
1136C2×D8C23×C1311yescharacteristic
1137C2×D8C23×C1311yescharacteristic
1138C2×M16C23×C1311yescharacteristic
1139C2×M16C23×C1311yescharacteristic
1140C22×C8C23×C1311yescharacteristic
1141C22×C8C23×C1311yescharacteristic
1142C22×C8C23×C1311yescharacteristic
1143C22×C8C23×C1311yescharacteristic
1144C4⋊Q8—21no—
1145C4⋊Q8—21no—
1146C4⋊Q8C23×C1311yescharacteristic
1147C4⋊Q8C23×C1311yescharacteristic
1148#127—21no—
1149#127—21no—
1150#127—21no—
1151#127C23×C1311yescharacteristic
1152#127C23×C1311yescharacteristic
1153#127C23×C1311yescharacteristic
1154#127C23×C1311yescharacteristic
1155#127C23×C1311yescharacteristic
1156#127C23×C1311yescharacteristic
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126—21no—
1166#126D4×C1311yescharacteristic
1167#126D4×C1311yescharacteristic
1168#125—21no—
1169#125—21no—
1170#125—21no—
1171#125—21no—
1172#125—21no—
1173#125—21no—
1174#125D4×C1311yescharacteristic
1175#125C23×C1311yescharacteristic
1176#125C23×C1311yescharacteristic
1177#125C23×C1311yescharacteristic
1178#124—21no—
1179#124—21no—
1180#124—21no—
1181#124—21no—
1182#124D4×C1311yescharacteristic
1183#124C23×C1311yescharacteristic
1184#124C23×C1311yescharacteristic
1185#124C23×C1311yescharacteristic
1186#124C23×C1311yescharacteristic
1187#124C23×C1311yescharacteristic
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
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#123D4×C1311yescharacteristic
1202#123D4×C1311yescharacteristic
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8D4×C1311yescharacteristic
1212C22⋊Q8C23×C1311yescharacteristic
1213C22⋊Q8C23×C1311yescharacteristic
1214C22⋊Q8C23×C1311yescharacteristic
1215C22⋊Q8C23×C1311yescharacteristic
1216C22⋊Q8C23×C1311yescharacteristic
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
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#121D4×C1311yescharacteristic
1239#121C23×C1311yescharacteristic
1240#121C23×C1311yescharacteristic
1241#121C23×C1311yescharacteristic
1242#121C23×C1311yescharacteristic
1243#121C23×C1311yescharacteristic
1244#121C23×C1311yescharacteristic
1245#121C23×C1311yescharacteristic
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251#120—21no—
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258C4×Q8—21no—
1259C4×Q8—21no—
1260C4×Q8—21no—
1261C4×Q8—21no—
1262C4×Q8—21no—
1263C4×Q8C23×C1311yescharacteristic
1264C4×Q8C23×C1311yescharacteristic
1265C4×Q8C23×C1311yescharacteristic
1266C4×Q8C23×C1311yescharacteristic
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
1294#117—21no—
1295#117—21no—
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117C23×C1311yescharacteristic
1302#117C23×C1311yescharacteristic
1303#117C23×C1311yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4C23×C1311yescharacteristic
1307C2×C4⋊C4C23×C1311yescharacteristic
1308C2×C22⋊C4—21no—
1309C2×C22⋊C4—21no—
1310C2×C42—21no—
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#102C23×C1311yescharacteristic
1341#102C23×C1311yescharacteristic
1342#102C23×C1311yescharacteristic
1343#102C23×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—81no—
1378C2×C13—81no—
1379C2×C13—81no—
1380C2×C13—81no—
1381C2×C13—81no—
1382C2×C13—81no—
1383C2×C13#348811yescharacteristic
1384C2×C13C2×#57711yescharacteristic
1385C2×C13#358511yescharacteristic
1386C24—21no—
1387C24—21no—
1388C24—21no—
1389C24—21no—
1390#41—22no—
1391#41—41no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—41no—
1396#41—82no—
1397C2×Q8—21no—
1398C2×Q8—21no—
1399C2×Q8—21no—
1400C2×Q8—22no—
1401C2×Q8—22no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8C2×D4×C1311yescharacteristic
1405C2×Q8C24×C1311yescharacteristic
1406C2×Q8C24×C1311yescharacteristic
1407C2×Q8C24×C1311yescharacteristic
1408C2×Q8C24×C1311yescharacteristic
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
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—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—82no—
1444C2×D4—82no—
1445C2×D4—82no—
1446C2×D4—82no—
1447C2×D4—82no—
1448C2×D4C2×D4×C1311yescharacteristic
1449C2×D4C2×D4×C1311yescharacteristic
1450C2×D4C2×D4×C1311yescharacteristic
1451C2×D4C24×C1311yescharacteristic
1452C2×D4C24×C1311yescharacteristic
1453C2×D4C24×C1311yescharacteristic
1454C2×D4C24×C1311yescharacteristic
1455C2×D4C24×C1311yescharacteristic
1456C2×D4C24×C1311yescharacteristic
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—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4C2×D4×C1311yescharacteristic
1472C22×C4C2×D4×C1311yescharacteristic
1473C22×C4C24×C1311yescharacteristic
1474C22×C4C24×C1311yescharacteristic
1475C22×C4C24×C1311yescharacteristic
1476Q16—22no—
1477Q16—41no—
1478Q16—41no—
1479SD16—22no—
1480SD16—22no—
1481SD16—22no—
1482SD16—22no—
1483SD16—22no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—41no—
1488SD16—41no—
1489SD16—41no—
1490SD16—41no—
1491SD16—41no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495D8—41no—
1496D8—41no—
1497D8—41no—
1498D8—41no—
1499D8—41no—
1500M16—41no—
1501M16—41no—
1502C2×C8—41no—
1503C2×C8—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⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4C2×D4×C1311yescharacteristic
1540C4⋊C4C2×D4×C1311yescharacteristic
1541C4⋊C4C2×D4×C1311yescharacteristic
1542C4⋊C4C2×D4×C1311yescharacteristic
1543C4⋊C4C2×D4×C1311yescharacteristic
1544C4⋊C4C2×D4×C1311yescharacteristic
1545C4⋊C4C2×D4×C1311yescharacteristic
1546C4⋊C4C2×D4×C1311yescharacteristic
1547C4⋊C4C2×D4×C1311yescharacteristic
1548C4⋊C4C2×D4×C1311yescharacteristic
1549C4⋊C4C24×C1311yescharacteristic
1550C4⋊C4C24×C1311yescharacteristic
1551C4⋊C4C24×C1311yescharacteristic
1552C4⋊C4C24×C1311yescharacteristic
1553C4⋊C4C24×C1311yescharacteristic
1554C4⋊C4C24×C1311yescharacteristic
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⋊C4C2×D4×C1311yescharacteristic
1586C22⋊C4C2×D4×C1311yescharacteristic
1587C22⋊C4C2×D4×C1311yescharacteristic
1588C22⋊C4C2×D4×C1311yescharacteristic
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—
1601C42—21no—
1602C42—21no—
1603C42—21no—
1604C42—21no—
1605C42C2×D4×C1311yescharacteristic
1606C42C2×D4×C1311yescharacteristic
1607C42C24×C1311yescharacteristic
1608C42C24×C1311yescharacteristic
1609C42C24×C1311yescharacteristic
1610C42C24×C1311yescharacteristic
1611C13#6200911yescharacteristic, direct product factor, Sylow
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—42no—
1619C23—42no—
1620C23—81no—
1621C23—81no—
1622C23—81no—
1623C23—81no—
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—41no—
1641Q8—42no—
1642Q8—42no—
1643Q8—81no—
1644Q8C13×H(5,𝔽2)12yes—
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—21no—
1659D4—41no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4—81no—
1678D4—81no—
1679D4—81no—
1680D4—81no—
1681D4—81no—
1682D4—81no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686C2×C4—22no—
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—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—41no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
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—41no—
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—162no—
1765C22—162no—
1766C22—162no—
1767C22—162no—
1768C22C13×#57712yes—
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—22no—
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—81no—
1797C2—81no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—81no—
1802C2C13×#348811yescharacteristic
1803C2C2×C13×#57711yescharacteristic
1804C2C13×#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×#3516C2semidirect
3. C13×#3401C2semidirect
4. C13×#3397C2semidirect
5. C13×#3371C2semidirect
6. C13×#3368C2semidirect
7. C13×#3318C2semidirect
8. C13×#3317C2semidirect
9. C13×#3314C2semidirect
10. C13×#3310C2semidirect
11. C13×#3297C2semidirect
12. C13×#3295C2semidirect
13. C13×#3282C2semidirect
14. D4×C13×SD16C2semidirect
15. C13×#3271C2semidirect
16. C13×#3266C2semidirect
17. C13×#3265C2semidirect
18. C13×#3265C2semidirect
19. C13×#3260C2semidirect
20. C13×#3257C2semidirect
21. C13×#3250C2semidirect
22. C13×#3224C2semidirect
23. C13×#3222C2semidirect
24. C13×#3217C2semidirect
25. C13×#3126C2semidirect
26. C13×#3119C2semidirect
27. C13×#3117C2semidirect
28. C13×#3045C2semidirect
29. C13×#3043C2semidirect
30. C2×C13×#460C2semidirect
31. C13×#2992C2semidirect
32. C2×C13×#137C22semidirect
33. C2×C13×AGL(1,ℤ/8)C22semidirect
34. C2×C13×#135C22semidirect
35. C22×C13×SD16C22semidirect
36. C22×C13×SD16C22semidirect
37. C22×C13×SD16C22semidirect
41. C13×#557C22semidirect
43. C13×#556C22semidirect
45. C13×#554C22semidirect
47. C13×#553C22semidirect
49. C13×#552C22semidirect
52. D4×Q8×C13C22semidirect
53. C13×#548C22semidirect
54. C13×#548C22semidirect
63. C13×#542C22semidirect
65. C13×#541C22semidirect
79. C13×#529C22semidirect
80. C13×#520C22semidirect
81. C13×#519C22semidirect
82. C2×C4×Q8×C13C22semidirect
83. C13×#497C22semidirect
85. C13×#496C22semidirect
86. C13×#496C22semidirect
87. C13×#495C22semidirect
88. C13×#492C22semidirect
90. C13×#490C22semidirect
91. C13×#490C22semidirect
92. C13×#489C22semidirect
93. C13×#488C22semidirect
94. C13×#486C22semidirect
95. C13×#484C22semidirect
96. C13×#482C22semidirect
97. C13×#482C22semidirect
99. C13×#481C22semidirect
100. C13×#480C22semidirect
101. C13×#479C22semidirect
102. C13×#479C22semidirect
103. C13×#479C22semidirect
104. C13×#479C22semidirect
105. C13×#478C22semidirect
106. C13×#478C22semidirect
107. C13×#478C22semidirect
108. C13×#478C22semidirect
109. C13×#476C22semidirect
110. C13×#474C22semidirect
111. C13×#469C22semidirect
112. C13×#468C22semidirect
113. C13×#468C22semidirect
114. C13×#468C22semidirect
115. C13×#467C22semidirect
117. C13×#466C22semidirect
119. C13×#465C22semidirect
120. C13×#465C22semidirect
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
130. C13×#463C22semidirect
131. C13×#463C22semidirect
132. C13×#463C22semidirect
133. C13×#463C22semidirect
134. C13×#463C22semidirect
135. C13×#461C22semidirect
136. C13×#461C22semidirect
139. C13×#460C22semidirect
140. C13×#460C22semidirect
141. C13×#460C22semidirect
142. C13×#460C22semidirect
143. C13×#460C22semidirect
144. C13×#460C22semidirect
145. C13×#460C22semidirect
146. C13×#460C22semidirect
147. C13×#460C22semidirect
148. C13×#460C22semidirect
149. C13×#460C22semidirect
150. C13×#459C22semidirect
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
160. C13×#450C22semidirect
161. C13×#450C22semidirect
162. C13×#449C22semidirect
163. C13×#449C22semidirect
164. C13×#449C22semidirect
166. C13×#448C22semidirect
167. C13×#448C22semidirect
168. C13×#447C22semidirect
169. C13×#447C22semidirect
170. C13×#447C22semidirect
171. C13×#446C22semidirect
172. C13×#446C22semidirect
173. C13×#442C22semidirect
174. C13×#441C22semidirect
175. C13×#441C22semidirect
176. C13×#440C22semidirect
177. C13×#440C22semidirect
178. C13×#440C22semidirect
179. C13×#440C22semidirect
180. C13×#440C22semidirect
181. C4×C13×SD16C22semidirect
182. C4×C13×SD16C22semidirect
183. C4×C13×SD16C22semidirect
184. C4×C13×D8C22semidirect
185. C13×#435C22semidirect
186. C13×#435C22semidirect
187. C13×#435C22semidirect
188. C13×#435C22semidirect
189. C8×D4×C13C22semidirect
190. C8×D4×C13C22semidirect
191. C13×#433C22semidirect
192. C13×#433C22semidirect
193. C13×#432C22semidirect
194. C13×#424C22semidirect
195. C13×#424C22semidirect
196. C2×C13×C4⋊C8C22semidirect
197. C13×#418C22semidirect
198. C13×#417C22semidirect
199. C13×#416C22semidirect
200. C2×C13×#102C22semidirect
201. C2×C13×#102C22semidirect
202. C2×C13×#102C22semidirect
484. #62009C13direct (N × H)
710. #3543C2×C13semidirect
711. #3516C2×C13semidirect
712. #3401C2×C13semidirect
713. #3397C2×C13semidirect
714. #3371C2×C13semidirect
715. #3368C2×C13semidirect
716. #3318C2×C13semidirect
717. #3317C2×C13semidirect
718. #3314C2×C13semidirect
719. #3310C2×C13semidirect
720. #3297C2×C13semidirect
721. #3295C2×C13semidirect
722. #3282C2×C13semidirect
723. D4×SD16C2×C13semidirect
724. #3271C2×C13semidirect
725. #3266C2×C13semidirect
726. #3265C2×C13semidirect
727. #3265C2×C13semidirect
728. #3260C2×C13semidirect
729. #3257C2×C13semidirect
730. #3250C2×C13semidirect
731. #3224C2×C13semidirect
732. #3222C2×C13semidirect
733. #3217C2×C13semidirect
734. #3126C2×C13semidirect
735. #3119C2×C13semidirect
736. #3117C2×C13semidirect
737. #3045C2×C13semidirect
738. #3043C2×C13semidirect
739. C2×#460C2×C13semidirect
740. #2992C2×C13semidirect
867. C2×#137C22×C13semidirect
868. C2×AGL(1,ℤ/8)C22×C13semidirect
869. C2×#135C22×C13semidirect
870. C22×SD16C22×C13semidirect
871. C22×SD16C22×C13semidirect
872. C22×SD16C22×C13semidirect
876. #557C22×C13semidirect
878. #556C22×C13semidirect
880. #554C22×C13semidirect
882. #553C22×C13semidirect
884. #552C22×C13semidirect
887. D4×Q8C22×C13semidirect
888. #548C22×C13semidirect
889. #548C22×C13semidirect
898. #542C22×C13semidirect
900. #541C22×C13semidirect
914. #529C22×C13semidirect
915. #520C22×C13semidirect
916. #519C22×C13semidirect
917. C2×C4×Q8C22×C13semidirect
918. #497C22×C13semidirect
920. #496C22×C13semidirect
921. #496C22×C13semidirect
922. #495C22×C13semidirect
923. #492C22×C13semidirect
925. #490C22×C13semidirect
926. #490C22×C13semidirect
927. #489C22×C13semidirect
928. #488C22×C13semidirect
929. #486C22×C13semidirect
930. #484C22×C13semidirect
931. #482C22×C13semidirect
932. #482C22×C13semidirect
934. #481C22×C13semidirect
935. #480C22×C13semidirect
936. #479C22×C13semidirect
937. #479C22×C13semidirect
938. #479C22×C13semidirect
939. #479C22×C13semidirect
940. #478C22×C13semidirect
941. #478C22×C13semidirect
942. #478C22×C13semidirect
943. #478C22×C13semidirect
944. #476C22×C13semidirect
945. #474C22×C13semidirect
946. #469C22×C13semidirect
947. #468C22×C13semidirect
948. #468C22×C13semidirect
949. #468C22×C13semidirect
950. #467C22×C13semidirect
952. #466C22×C13semidirect
954. #465C22×C13semidirect
955. #465C22×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
965. #463C22×C13semidirect
966. #463C22×C13semidirect
967. #463C22×C13semidirect
968. #463C22×C13semidirect
969. #463C22×C13semidirect
970. #461C22×C13semidirect
971. #461C22×C13semidirect
974. #460C22×C13semidirect
975. #460C22×C13semidirect
976. #460C22×C13semidirect
977. #460C22×C13semidirect
978. #460C22×C13semidirect
979. #460C22×C13semidirect
980. #460C22×C13semidirect
981. #460C22×C13semidirect
982. #460C22×C13semidirect
983. #460C22×C13semidirect
984. #460C22×C13semidirect
985. #459C22×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
995. #450C22×C13semidirect
996. #450C22×C13semidirect
997. #449C22×C13semidirect
998. #449C22×C13semidirect
999. #449C22×C13semidirect
1001. #448C22×C13semidirect
1002. #448C22×C13semidirect
1003. #447C22×C13semidirect
1004. #447C22×C13semidirect
1005. #447C22×C13semidirect
1006. #446C22×C13semidirect
1007. #446C22×C13semidirect
1008. #442C22×C13semidirect
1009. #441C22×C13semidirect
1010. #441C22×C13semidirect
1011. #440C22×C13semidirect
1012. #440C22×C13semidirect
1013. #440C22×C13semidirect
1014. #440C22×C13semidirect
1015. #440C22×C13semidirect
1016. C4×SD16C22×C13semidirect
1017. C4×SD16C22×C13semidirect
1018. C4×SD16C22×C13semidirect
1019. C4×D8C22×C13semidirect
1020. #435C22×C13semidirect
1021. #435C22×C13semidirect
1022. #435C22×C13semidirect
1023. #435C22×C13semidirect
1024. C8×D4C22×C13semidirect
1025. C8×D4C22×C13semidirect
1026. #433C22×C13semidirect
1027. #433C22×C13semidirect
1028. #432C22×C13semidirect
1029. #424C22×C13semidirect
1030. #424C22×C13semidirect
1031. C2×C4⋊C8C22×C13semidirect
1032. #418C22×C13semidirect
1033. #417C22×C13semidirect
1034. #416C22×C13semidirect
1035. C2×#102C22×C13semidirect
1036. C2×#102C22×C13semidirect
1037. C2×#102C22×C13semidirect
1611. C13#62009direct (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×#35162
C13×#34012
C13×#33972
C13×#33712
C13×#33682
C13×#33182
C13×#33172
C13×#33142
C13×#33102
C13×#32972
C13×#32952
C13×#32822
D4×C13×SD162
C13×#32712
C13×#32662
C13×#32652
C13×#32602
C13×#32572
C13×#32502
C13×#32242
C13×#32222
C13×#32172
C13×#31262
C13×#31192
C13×#31172
C13×#30452
C13×#30432
C2×C13×#4602
C13×#29922
#6200913