Finite Group Databasebeta

← C13×#61158 #15747497

Subgroups — C13×#61158 #15747497

Order 3328.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3475C211yesmaximal, characteristic, complemented
2C2×C13×#548C211yesmaximal, characteristic, complemented
3C13×#3327C212yesmaximal, complemented
4C13×#3326C212yesmaximal, complemented
5C13×#3321C212yesmaximal, complemented
6C13×#3316C212yesmaximal, complemented
7C13×#3313C212yesmaximal, complemented
8C13×#3308C212yesmaximal, complemented
9C13×#3301C212yesmaximal, complemented
10C13×#3300C212yesmaximal, complemented
11C13×#3140C211yesmaximal, characteristic, complemented
12C13×#3095C211yesmaximal, characteristic, complemented
13C13×#3094C211yesmaximal, characteristic, complemented
14C13×#3078C211yesmaximal, characteristic, complemented
15C13×#3056C211yesmaximal, characteristic, complemented
16C13×#3055C211yesmaximal, characteristic, complemented
17C13×#3040C211yesmaximal, characteristic, complemented
18C13×#3005C211yesmaximal, characteristic, complemented
19C13×#3004C211yesmaximal, characteristic, complemented
20C4×C13×#137C211yesmaximal, characteristic, complemented
21D4×C13×M16C211yesmaximal, characteristic, complemented
22C13×#2896C211yesmaximal, characteristic, complemented
23C2×C13×#419C211yesmaximal, characteristic, complemented
24C22×C13×#41C2211yescharacteristic
25C23×Q8×C13C2211yescharacteristic
26C2×C13×#137C2211yescharacteristic
27C2×C13×#137C2211yescharacteristic
28C2×C13×AGL(1,ℤ/8)C2211yescharacteristic
29C22×C13×M16C2211yescharacteristic
30C22×C13×M16C2211yescharacteristic
31C13×#556C2211yescharacteristic, complemented
32C13×#555C2211yescharacteristic, complemented
33C13×#554C2211yescharacteristic, complemented
34C13×#553C2211yescharacteristic, complemented
35C13×#553C2211yescharacteristic, complemented
36C13×#552—21no—
37C13×#552C2211yescharacteristic, complemented
38C13×#552C2211yescharacteristic, complemented
39C13×#551—21no—
40C13×#551—21no—
41C13×#548—21no—
42C13×#548—21no—
43C13×#548—21no—
44C13×#548—21no—
45C13×#548C2212yes—
46C13×#548C2212yes—
47C13×#548C2212yes—
48C13×#548C2212yes—
49C13×#547C2211yescharacteristic, complemented
50C13×#546—21no—
51C13×#533C2211yescharacteristic
52C13×#529—21no—
53C13×#529—21no—
54C13×#529—21no—
55C2×C13×#124—21no—
56C2×C13×#124C2211yescharacteristic
57C13×#525C2211yescharacteristic
58C13×#525C2211yescharacteristic
59C2×C13×C22⋊Q8—21no—
60C2×C13×C22⋊Q8C2211yescharacteristic
61C2×C13×#121—21no—
62C2×C13×#121C2211yescharacteristic
63C4×C13×#41—21no—
64C4×C13×#41C2211yescharacteristic
65C2×C4×Q8×C13C2211yescharacteristic
66C2×C4×D4×C13—21no—
67C2×C4×D4×C13C2211yescharacteristic
68C2×C13×#117C2211yescharacteristic
69C2×C13×#117C2211yescharacteristic
70C13×#489C2212yescomplemented
71C13×#489C2212yescomplemented
72C13×#488C2212yescomplemented
73C13×#488C2212yescomplemented
74C13×#485C2212yescomplemented
75C13×#485C2212yescomplemented
76C13×#484C2212yescomplemented
77C13×#483C2212yescomplemented
78C13×#482C2212yescomplemented
79C13×#482C2212yescomplemented
80C13×#481C2212yescomplemented
81C13×#480C2212yescomplemented
82C13×#479C2212yescomplemented
83C13×#479C2212yescomplemented
84C13×#477C2212yescomplemented
85C13×#475C2212yescomplemented
86C13×#470C2212yescomplemented
87C13×#469C2212yescomplemented
88C13×#468C2212yescomplemented
89C13×#468C2212yescomplemented
90C13×#467C2212yescomplemented
91C13×#466C2212yescomplemented
92C13×#465C2212yescomplemented
93C13×#465C2212yescomplemented
94C13×#464C2212yescomplemented
95C13×#464C2212yescomplemented
96C13×#463C2212yescomplemented
97C13×#463C2212yescomplemented
98C13×#452C2212yescomplemented
99C13×#452C2212yescomplemented
100C13×#451C2212yescomplemented
101C13×#451C2212yescomplemented
102C13×#449C2212yescomplemented
103C13×#449C2212yescomplemented
104C13×#448C2212yescomplemented
105C13×#448C2212yescomplemented
106C13×#441C2212yescomplemented
107C13×#440C2212yescomplemented
108C4×C13×Q16C2212yescomplemented
109C4×C13×SD16C2212yescomplemented
110C13×#436C2212yescomplemented
111C13×#435C2212yescomplemented
112C13×#435C2212yescomplemented
113C8×D4×C13C2212yescomplemented
114C13×#428C2211yescharacteristic
115C13×#428C2211yescharacteristic
116C13×#428C2211yescharacteristic
117C13×#423C2211yescharacteristic
118C13×#419C2211yescharacteristic
119C13×#419C2211yescharacteristic
120C13×#419C2211yescharacteristic
121C13×#419C2211yescharacteristic
122C13×#419C2211yescharacteristic
123C13×#419C2211yescharacteristic
124C13×#419C2212yescomplemented
125C13×#419C2212yescomplemented
126C13×#418C2211yescharacteristic
127C13×#418C2211yescharacteristic
128C13×#418C2211yescharacteristic
129C13×#417C2211yescharacteristic
130C13×#417C2212yescomplemented
131C13×#417C2212yescomplemented
132C13×#416C2212yescomplemented
133C13×#416C2212yescomplemented
134C2×C13×#103C2212yescomplemented
135C2×C13×#103C2212yescomplemented
136C13×#407C2211yescharacteristic
137C13×#407C2211yescharacteristic
138C4×C13×M16C2211yescharacteristic
139C2×C13×#41—21no—
140C2×C13×#41—21no—
141C2×C13×#41—21no—
142C2×C13×#41—24no—
143C2×C13×#41—42no—
144C2×C13×#41C2311yescharacteristic
145C2×C13×#41C2312yes—
146C2×C13×#41C2312yes—
147C22×Q8×C13—21no—
148C22×Q8×C13—21no—
149C22×Q8×C13—21no—
150C22×Q8×C13—24no—
151C22×Q8×C13—42no—
152C22×Q8×C13C2311yescharacteristic
153C22×Q8×C13C2312yes—
154C22×Q8×C13C2312yes—
155C22×Q8×C13C2311yescharacteristic
156C22×D4×C13—21no—
157C22×D4×C13—21no—
158C22×D4×C13D411yescharacteristic
159C22×D4×C13C2311yescharacteristic
160C23×C4×C13—21no—
161C23×C4×C13—21no—
162C23×C4×C13C2311yescharacteristic
163C23×C4×C13C2311yescharacteristic
164C13×#137—24no—
165C13×#137—42no—
166C13×AGL(1,ℤ/8)—42no—
167C2×C13×Q16C2312yes—
168C2×C13×Q16C2312yes—
169C2×C13×SD16C2312yes—
170C2×C13×SD16C2312yes—
171C2×C13×SD16C2312yes—
172C2×C13×D8C2312yes—
173C2×C13×M16—42no—
174C2×C13×M16—42no—
175C2×C13×M16C2311yescharacteristic
176C2×C13×M16C2311yescharacteristic
177C2×C13×M16C2311yescharacteristic
178C2×C13×M16C2311yescharacteristic
179C2×C13×M16C2312yes—
180C2×C13×M16C2312yes—
181C22×C8×C13C2312yes—
182C22×C8×C13C2312yes—
183C13×C4⋊Q8C2311yescharacteristic
184C13×C4⋊Q8C2311yescharacteristic
185C13×#126—21no—
186C13×#126—21no—
187C13×#126—21no—
188C13×#126—21no—
189C13×#126—21no—
190C13×#126—21no—
191C13×#125—21no—
192C13×#125—21no—
193C13×#125—21no—
194C13×#125C2311yescharacteristic
195C13×#125C2311yescharacteristic
196C13×#124—21no—
197C13×#124—22no—
198C13×#124—22no—
199C13×#124—22no—
200C13×#124—22no—
201C13×#124—21no—
202C13×#124—21no—
203C13×#124—21no—
204C13×#124—21no—
205C13×#124C2312yes—
206C13×#124C2312yes—
207C13×#123—21no—
208C13×#123—21no—
209C13×#123—21no—
210C13×#123—21no—
211C13×#123—21no—
212C13×#123—21no—
213C13×#123—21no—
214C13×#123—21no—
215C13×C22⋊Q8—21no—
216C13×C22⋊Q8—21no—
217C13×C22⋊Q8—21no—
218C13×C22⋊Q8—21no—
219C13×C22⋊Q8—22no—
220C13×C22⋊Q8—22no—
221C13×C22⋊Q8—22no—
222C13×C22⋊Q8—22no—
223C13×C22⋊Q8—21no—
224C13×C22⋊Q8—21no—
225C13×C22⋊Q8—21no—
226C13×C22⋊Q8C2311yescharacteristic
227C13×C22⋊Q8C2311yescharacteristic
228C13×C22⋊Q8C2311yescharacteristic
229C13×C22⋊Q8C2311yescharacteristic
230C13×C22⋊Q8C2312yes—
231C13×C22⋊Q8C2312yes—
232C13×#121—22no—
233C13×#121—22no—
234C13×#121—22no—
235C13×#121—22no—
236C13×#121—21no—
237C13×#121—21no—
238C13×#121—21no—
239C13×#121—21no—
240C13×#121—21no—
241C13×#121C2311yescharacteristic
242C13×#121C2311yescharacteristic
243C13×#121C2311yescharacteristic
244C13×#121C2311yescharacteristic
245C13×#121C2312yes—
246C13×#121C2312yes—
247C13×#120—21no—
248C13×#120—21no—
249C4×Q8×C13—21no—
250C4×Q8×C13—21no—
251C4×Q8×C13—21no—
252C4×Q8×C13—21no—
253C4×Q8×C13—21no—
254C4×Q8×C13C2312yes—
255C4×Q8×C13C2311yescharacteristic
256C4×Q8×C13C2312yes—
257C4×Q8×C13C2311yescharacteristic
258C4×D4×C13—21no—
259C4×D4×C13—21no—
260C4×D4×C13—21no—
261C4×D4×C13—21no—
262C4×D4×C13—21no—
263C4×D4×C13—21no—
264C4×D4×C13—21no—
265C4×D4×C13—22no—
266C4×D4×C13—22no—
267C4×D4×C13—22no—
268C4×D4×C13—22no—
269C4×D4×C13—21no—
270C4×D4×C13—21no—
271C4×D4×C13D411yescharacteristic
272C4×D4×C13D411yescharacteristic
273C4×D4×C13D411yescharacteristic
274C4×D4×C13D411yescharacteristic
275C4×D4×C13C2311yescharacteristic
276C4×D4×C13C2311yescharacteristic
277C4×D4×C13C2311yescharacteristic
278C4×D4×C13C2311yescharacteristic
279C4×D4×C13C2311yescharacteristic
280C4×D4×C13C2311yescharacteristic
281C13×#117—21no—
282C13×#117—21no—
283C13×#117—21no—
284C13×#117—21no—
285C13×#117—21no—
286C13×#117—21no—
287C13×#117—21no—
288C13×#117—21no—
289C13×#117C2311yescharacteristic
290C13×#117C2311yescharacteristic
291C13×#117C2311yescharacteristic
292C13×#117C2311yescharacteristic
293C13×#117C2311yescharacteristic
294C13×#117C2311yescharacteristic
295C13×#117C2311yescharacteristic
296C2×C13×C4⋊C4—21no—
297C2×C13×C4⋊C4—21no—
298C2×C13×C4⋊C4D411yescharacteristic
299C2×C13×C4⋊C4C2311yescharacteristic
300C2×C13×C4⋊C4C2311yescharacteristic
301C2×C13×C4⋊C4C2311yescharacteristic
302C2×C13×C4⋊C4C2311yescharacteristic
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C22⋊C4—21no—
305C2×C13×C22⋊C4—21no—
306C2×C13×C22⋊C4—21no—
307C2×C13×C22⋊C4—21no—
308C2×C13×C22⋊C4—21no—
309C2×C13×C22⋊C4—21no—
310C2×C13×C22⋊C4D411yescharacteristic
311C2×C13×C22⋊C4D411yescharacteristic
312C2×C42×C13—21no—
313C2×C42×C13—21no—
314C2×C42×C13—21no—
315C2×C42×C13—21no—
316C2×C42×C13C2311yescharacteristic
317C13×#107C2312yes—
318C13×#107C2312yes—
319C13×#107C2312yes—
320C13×#106C2312yes—
321C13×#106C2312yes—
322C13×#106C2312yes—
323C13×C4⋊C8C2312yes—
324C13×C4⋊C8C2312yes—
325C13×#103C2312yes—
326C13×#103C2312yes—
327C13×#103C2312yes—
328C13×#103C2312yes—
329C13×#103C2312yes—
330C13×#103C2312yes—
331C13×#103C2312yes—
332C13×#103C2312yes—
333C13×#103C2312yes—
334C13×#103C2312yes—
335C13×#103C2312yes—
336C13×#103C2312yes—
337C13×#103C2312yes—
338C13×#102C2312yes—
339C13×#102C2312yes—
340C13×#102C2312yes—
341C13×#102C2312yes—
342C13×#102C2312yes—
343C13×#102C2312yes—
344C13×#102C2312yes—
345C13×C22⋊C8C2312yes—
346C13×C22⋊C8C2312yes—
347C13×C22⋊C8C2312yes—
348C13×C22⋊C8C2312yes—
349C13×#97C2312yes—
350C4×C8×C13C2312yes—
351#61158C1311yesmaximal, characteristic, direct product factor, Sylow
352C24×C13—21no—
353C24×C13C2×D411yescharacteristic
354C24×C13C2×D411yescharacteristic
355C13×#41—24no—
356C13×#41—24no—
357C13×#41—22no—
358C13×#41—22no—
359C13×#41—42no—
360C13×#41—42no—
361C13×#41—44no—
362C13×#41—44no—
363C13×#41—44no—
364C2×Q8×C13—21no—
365C2×Q8×C13—21no—
366C2×Q8×C13—22no—
367C2×Q8×C13—22no—
368C2×Q8×C13—21no—
369C2×Q8×C13—21no—
370C2×Q8×C13—22no—
371C2×Q8×C13—24no—
372C2×Q8×C13—24no—
373C2×Q8×C13—22no—
374C2×Q8×C13—22no—
375C2×Q8×C13—44no—
376C2×Q8×C13—42no—
377C2×Q8×C13—42no—
378C2×Q8×C13—44no—
379C2×Q8×C13—44no—
380C2×Q8×C13#4114yescomplemented
381C2×Q8×C13C2412yes—
382C2×Q8×C13C2411yescharacteristic
383C2×Q8×C13C2412yes—
384C2×D4×C13—21no—
385C2×D4×C13—21no—
386C2×D4×C13—21no—
387C2×D4×C13—22no—
388C2×D4×C13—22no—
389C2×D4×C13—22no—
390C2×D4×C13—22no—
391C2×D4×C13—21no—
392C2×D4×C13—21no—
393C2×D4×C13—21no—
394C2×D4×C13—22no—
395C2×D4×C13—22no—
396C2×D4×C13—44no—
397C2×D4×C13—42no—
398C2×D4×C13—44no—
399C2×D4×C13C2×D411yescharacteristic
400C2×D4×C13C2×D411yescharacteristic
401C2×D4×C13C2×D411yescharacteristic
402C2×D4×C13C2×D411yescharacteristic
403C2×D4×C13C2412yes—
404C2×D4×C13C2411yescharacteristic
405C22×C4×C13—21no—
406C22×C4×C13—22no—
407C22×C4×C13—22no—
408C22×C4×C13—22no—
409C22×C4×C13—22no—
410C22×C4×C13—21no—
411C22×C4×C13—21no—
412C22×C4×C13—21no—
413C22×C4×C13—21no—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—21no—
417C22×C4×C13—21no—
418C22×C4×C13—21no—
419C22×C4×C13—21no—
420C22×C4×C13—22no—
421C22×C4×C13—22no—
422C22×C4×C13—21no—
423C22×C4×C13—44no—
424C22×C4×C13—44no—
425C22×C4×C13C2×D411yescharacteristic
426C22×C4×C13C2×D411yescharacteristic
427C22×C4×C13C2×D411yescharacteristic
428C22×C4×C13C2×D411yescharacteristic
429C22×C4×C13C2×D411yescharacteristic
430C22×C4×C13C2×D411yescharacteristic
431C22×C4×C13C2×D411yescharacteristic
432C22×C4×C13C2×D411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C13×Q16—24no—
439C13×Q16—42no—
440C13×SD16—24no—
441C13×SD16—42no—
442C13×SD16—42no—
443C13×D8—42no—
444C13×M16—22no—
445C13×M16—22no—
446C13×M16—22no—
447C13×M16—22no—
448C13×M16—42no—
449C13×M16—42no—
450C2×C8×C13—42no—
451C2×C8×C13—42no—
452C2×C8×C13C2412yes—
453C2×C8×C13C2412yes—
454C2×C8×C13C2412yes—
455C2×C8×C13C2412yes—
456C13×C4⋊C4—22no—
457C13×C4⋊C4—22no—
458C13×C4⋊C4—22no—
459C13×C4⋊C4—22no—
460C13×C4⋊C4—21no—
461C13×C4⋊C4—21no—
462C13×C4⋊C4—21no—
463C13×C4⋊C4—21no—
464C13×C4⋊C4—21no—
465C13×C4⋊C4—21no—
466C13×C4⋊C4—21no—
467C13×C4⋊C4—21no—
468C13×C4⋊C4—21no—
469C13×C4⋊C4—21no—
470C13×C4⋊C4—21no—
471C13×C4⋊C4—21no—
472C13×C4⋊C4—21no—
473C13×C4⋊C4—21no—
474C13×C4⋊C4—21no—
475C13×C4⋊C4—21no—
476C13×C4⋊C4—21no—
477C13×C4⋊C4C2×D411yescharacteristic
478C13×C4⋊C4C2×D411yescharacteristic
479C13×C4⋊C4C2×D411yescharacteristic
480C13×C4⋊C4C2×D411yescharacteristic
481C13×C4⋊C4C2411yescharacteristic
482C13×C4⋊C4C2411yescharacteristic
483C13×C4⋊C4C2411yescharacteristic
484C13×C4⋊C4C2411yescharacteristic
485C13×C4⋊C4C2411yescharacteristic
486C13×C4⋊C4C2411yescharacteristic
487C13×C4⋊C4C2412yes—
488C13×C22⋊C4—21no—
489C13×C22⋊C4—21no—
490C13×C22⋊C4—21no—
491C13×C22⋊C4—21no—
492C13×C22⋊C4—21no—
493C13×C22⋊C4—21no—
494C13×C22⋊C4—21no—
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—21no—
498C13×C22⋊C4—21no—
499C13×C22⋊C4—21no—
500C13×C22⋊C4—21no—
501C13×C22⋊C4—22no—
502C13×C22⋊C4—22no—
503C13×C22⋊C4—22no—
504C13×C22⋊C4—22no—
505C13×C22⋊C4—22no—
506C13×C22⋊C4—22no—
507C13×C22⋊C4—21no—
508C13×C22⋊C4—21no—
509C13×C22⋊C4—21no—
510C13×C22⋊C4—21no—
511C13×C22⋊C4—21no—
512C13×C22⋊C4—21no—
513C13×C22⋊C4C2×D411yescharacteristic
514C13×C22⋊C4C2×D411yescharacteristic
515C13×C22⋊C4C2×D411yescharacteristic
516C13×C22⋊C4C2×D411yescharacteristic
517C13×C22⋊C4C2×D411yescharacteristic
518C13×C22⋊C4C2×D411yescharacteristic
519C13×C22⋊C4C2×D411yescharacteristic
520C13×C22⋊C4C2×D411yescharacteristic
521C42×C13—21no—
522C42×C13—21no—
523C42×C13—21no—
524C42×C13—21no—
525C42×C13—21no—
526C42×C13—21no—
527C42×C13—21no—
528C42×C13—21no—
529C42×C13—22no—
530C42×C13—22no—
531C42×C13—21no—
532C42×C13C2×D411yescharacteristic
533C42×C13C2×D411yescharacteristic
534C42×C13C2411yescharacteristic
535C42×C13C2411yescharacteristic
536#3475C2×C1311yescharacteristic, complemented
537C2×#548C2×C1311yescharacteristic, complemented
538#3327C2×C1312yescomplemented
539#3326C2×C1312yescomplemented
540#3321C2×C1312yescomplemented
541#3316C2×C1312yescomplemented
542#3313C2×C1312yescomplemented
543#3308C2×C1312yescomplemented
544#3301C2×C1312yescomplemented
545#3300C2×C1312yescomplemented
546#3140C2×C1311yescharacteristic, complemented
547#3095C2×C1311yescharacteristic, complemented
548#3094C2×C1311yescharacteristic, complemented
549#3078C2×C1311yescharacteristic, complemented
550#3056C2×C1311yescharacteristic, complemented
551#3055C2×C1311yescharacteristic, complemented
552#3040C2×C1311yescharacteristic, complemented
553#3005C2×C1311yescharacteristic, complemented
554#3004C2×C1311yescharacteristic, complemented
555C4×#137C2×C1311yescharacteristic, complemented
556D4×M16C2×C1311yescharacteristic, complemented
557#2896C2×C1311yescharacteristic, complemented
558C2×#419C2×C1311yescharacteristic, complemented
559C23×C13—22no—
560C23×C13—22no—
561C23×C13—22no—
562C23×C13—21no—
563C23×C13—22no—
564C23×C13—41no—
565C23×C13—41no—
566C23×C13—41no—
567C23×C13—42no—
568C23×C13—42no—
569C23×C13—42no—
570C23×C13C22×D411yescharacteristic
571C23×C13C22×D411yescharacteristic
572C23×C13C22×D411yescharacteristic
573C23×C13C22×D411yescharacteristic
574C23×C13C22×D411yescharacteristic
575Q8×C13—24no—
576Q8×C13—22no—
577Q8×C13—21no—
578Q8×C13—22no—
579Q8×C13—21no—
580Q8×C13—22no—
581Q8×C13—44no—
582Q8×C13—44no—
583Q8×C13—42no—
584Q8×C13—42no—
585Q8×C13—81no—
586Q8×C13C2×#4114yes—
587D4×C13—22no—
588D4×C13—22no—
589D4×C13—21no—
590D4×C13—22no—
591D4×C13—21no—
592D4×C13—22no—
593D4×C13—41no—
594D4×C13—41no—
595D4×C13—44no—
596D4×C13—44no—
597D4×C13—44no—
598D4×C13—42no—
599D4×C13—42no—
600D4×C13—44no—
601D4×C13—42no—
602D4×C13—42no—
603D4×C13—81no—
604D4×C13—81no—
605C2×C4×C13—22no—
606C2×C4×C13—22no—
607C2×C4×C13—24no—
608C2×C4×C13—22no—
609C2×C4×C13—22no—
610C2×C4×C13—22no—
611C2×C4×C13—22no—
612C2×C4×C13—22no—
613C2×C4×C13—21no—
614C2×C4×C13—21no—
615C2×C4×C13—21no—
616C2×C4×C13—21no—
617C2×C4×C13—21no—
618C2×C4×C13—21no—
619C2×C4×C13—21no—
620C2×C4×C13—21no—
621C2×C4×C13—21no—
622C2×C4×C13—21no—
623C2×C4×C13—21no—
624C2×C4×C13—22no—
625C2×C4×C13—21no—
626C2×C4×C13—21no—
627C2×C4×C13—21no—
628C2×C4×C13—21no—
629C2×C4×C13—22no—
630C2×C4×C13—41no—
631C2×C4×C13—41no—
632C2×C4×C13—44no—
633C2×C4×C13—44no—
634C2×C4×C13—44no—
635C2×C4×C13—44no—
636C2×C4×C13—42no—
637C2×C4×C13—42no—
638C2×C4×C13—42no—
639C2×C4×C13—42no—
640C2×C4×C13—42no—
641C2×C4×C13—42no—
642C2×C4×C13—81no—
643C2×C4×C13—81no—
644C2×C4×C13—81no—
645C2×C4×C13C22×D411yescharacteristic
646C2×C4×C13C22×D411yescharacteristic
647C2×C4×C13C22×D411yescharacteristic
648C2×C4×C13C22×D411yescharacteristic
649C2×C4×C13C22×D411yescharacteristic
650C2×C4×C13C22×D411yescharacteristic
651C2×C4×C13C22×D411yescharacteristic
652C2×C4×C13C22×D411yescharacteristic
653C2×C4×C13C22×D411yescharacteristic
654C2×C4×C13C2×#4112yes—
655C2×C4×C13H(5,𝔽2)12yes—
656C2×C4×C13C2511yescharacteristic
657C8×C13—22no—
658C8×C13—22no—
659C8×C13—22no—
660C8×C13—22no—
661C22×#41C22×C1311yescharacteristic
662C23×Q8C22×C1311yescharacteristic
663C2×#137C22×C1311yescharacteristic
664C2×#137C22×C1311yescharacteristic
665C2×AGL(1,ℤ/8)C22×C1311yescharacteristic
666C22×M16C22×C1311yescharacteristic
667C22×M16C22×C1311yescharacteristic
668#556C22×C1311yescharacteristic, complemented
669#555C22×C1311yescharacteristic, complemented
670#554C22×C1311yescharacteristic, complemented
671#553C22×C1311yescharacteristic, complemented
672#553C22×C1311yescharacteristic, complemented
673#552—21no—
674#552C22×C1311yescharacteristic, complemented
675#552C22×C1311yescharacteristic, complemented
676#551—21no—
677#551—21no—
678#548—21no—
679#548—21no—
680#548—21no—
681#548—21no—
682#548C22×C1312yes—
683#548C22×C1312yes—
684#548C22×C1312yes—
685#548C22×C1312yes—
686#547C22×C1311yescharacteristic, complemented
687#546—21no—
688#533C22×C1311yescharacteristic
689#529—21no—
690#529—21no—
691#529—21no—
692C2×#124—21no—
693C2×#124C22×C1311yescharacteristic
694#525C22×C1311yescharacteristic
695#525C22×C1311yescharacteristic
696C2×C22⋊Q8—21no—
697C2×C22⋊Q8C22×C1311yescharacteristic
698C2×#121—21no—
699C2×#121C22×C1311yescharacteristic
700C4×#41—21no—
701C4×#41C22×C1311yescharacteristic
702C2×C4×Q8C22×C1311yescharacteristic
703C2×C4×D4—21no—
704C2×C4×D4C22×C1311yescharacteristic
705C2×#117C22×C1311yescharacteristic
706C2×#117C22×C1311yescharacteristic
707#489C22×C1312yescomplemented
708#489C22×C1312yescomplemented
709#488C22×C1312yescomplemented
710#488C22×C1312yescomplemented
711#485C22×C1312yescomplemented
712#485C22×C1312yescomplemented
713#484C22×C1312yescomplemented
714#483C22×C1312yescomplemented
715#482C22×C1312yescomplemented
716#482C22×C1312yescomplemented
717#481C22×C1312yescomplemented
718#480C22×C1312yescomplemented
719#479C22×C1312yescomplemented
720#479C22×C1312yescomplemented
721#477C22×C1312yescomplemented
722#475C22×C1312yescomplemented
723#470C22×C1312yescomplemented
724#469C22×C1312yescomplemented
725#468C22×C1312yescomplemented
726#468C22×C1312yescomplemented
727#467C22×C1312yescomplemented
728#466C22×C1312yescomplemented
729#465C22×C1312yescomplemented
730#465C22×C1312yescomplemented
731#464C22×C1312yescomplemented
732#464C22×C1312yescomplemented
733#463C22×C1312yescomplemented
734#463C22×C1312yescomplemented
735#452C22×C1312yescomplemented
736#452C22×C1312yescomplemented
737#451C22×C1312yescomplemented
738#451C22×C1312yescomplemented
739#449C22×C1312yescomplemented
740#449C22×C1312yescomplemented
741#448C22×C1312yescomplemented
742#448C22×C1312yescomplemented
743#441C22×C1312yescomplemented
744#440C22×C1312yescomplemented
745C4×Q16C22×C1312yescomplemented
746C4×SD16C22×C1312yescomplemented
747#436C22×C1312yescomplemented
748#435C22×C1312yescomplemented
749#435C22×C1312yescomplemented
750C8×D4C22×C1312yescomplemented
751#428C22×C1311yescharacteristic
752#428C22×C1311yescharacteristic
753#428C22×C1311yescharacteristic
754#423C22×C1311yescharacteristic
755#419C22×C1311yescharacteristic
756#419C22×C1311yescharacteristic
757#419C22×C1311yescharacteristic
758#419C22×C1311yescharacteristic
759#419C22×C1311yescharacteristic
760#419C22×C1311yescharacteristic
761#419C22×C1312yescomplemented
762#419C22×C1312yescomplemented
763#418C22×C1311yescharacteristic
764#418C22×C1311yescharacteristic
765#418C22×C1311yescharacteristic
766#417C22×C1311yescharacteristic
767#417C22×C1312yescomplemented
768#417C22×C1312yescomplemented
769#416C22×C1312yescomplemented
770#416C22×C1312yescomplemented
771C2×#103C22×C1312yescomplemented
772C2×#103C22×C1312yescomplemented
773#407C22×C1311yescharacteristic
774#407C22×C1311yescharacteristic
775C4×M16C22×C1311yescharacteristic
776C22×C13—21no—
777C22×C13—21no—
778C22×C13—21no—
779C22×C13—21no—
780C22×C13—21no—
781C22×C13—21no—
782C22×C13—21no—
783C22×C13—21no—
784C22×C13—21no—
785C22×C13—21no—
786C22×C13—21no—
787C22×C13—21no—
788C22×C13—21no—
789C22×C13—44no—
790C22×C13—41no—
791C22×C13—42no—
792C22×C13—42no—
793C22×C13—41no—
794C22×C13—41no—
795C22×C13—42no—
796C22×C13—82no—
797C22×C13—84no—
798C22×C13#54612yes—
799C22×C13#57512yes—
800C22×C13C23×D411yescharacteristic
801C4×C13—21no—
802C4×C13—21no—
803C4×C13—21no—
804C4×C13—21no—
805C4×C13—21no—
806C4×C13—21no—
807C4×C13—24no—
808C4×C13—21no—
809C4×C13—21no—
810C4×C13—41no—
811C4×C13—41no—
812C4×C13—41no—
813C4×C13—42no—
814C4×C13—41no—
815C4×C13—41no—
816C4×C13—42no—
817C4×C13—41no—
818C4×C13—41no—
819C4×C13#54612yes—
820C4×C13C22×#4111yescharacteristic
821C4×C13C2×H(5,𝔽2)11yescharacteristic
822C2×#41—21no—
823C2×#41—21no—
824C2×#41—21no—
825C2×#41—24no—
826C2×#41—42no—
827C2×#41C23×C1311yescharacteristic
828C2×#41C23×C1312yes—
829C2×#41C23×C1312yes—
830C22×Q8—21no—
831C22×Q8—21no—
832C22×Q8—21no—
833C22×Q8—24no—
834C22×Q8—42no—
835C22×Q8C23×C1311yescharacteristic
836C22×Q8C23×C1312yes—
837C22×Q8C23×C1312yes—
838C22×Q8C23×C1311yescharacteristic
839C22×D4—21no—
840C22×D4—21no—
841C22×D4D4×C1311yescharacteristic
842C22×D4C23×C1311yescharacteristic
843C23×C4—21no—
844C23×C4—21no—
845C23×C4C23×C1311yescharacteristic
846C23×C4C23×C1311yescharacteristic
847#137—24no—
848#137—42no—
849AGL(1,ℤ/8)—42no—
850C2×Q16C23×C1312yes—
851C2×Q16C23×C1312yes—
852C2×SD16C23×C1312yes—
853C2×SD16C23×C1312yes—
854C2×SD16C23×C1312yes—
855C2×D8C23×C1312yes—
856C2×M16—42no—
857C2×M16—42no—
858C2×M16C23×C1311yescharacteristic
859C2×M16C23×C1311yescharacteristic
860C2×M16C23×C1311yescharacteristic
861C2×M16C23×C1311yescharacteristic
862C2×M16C23×C1312yes—
863C2×M16C23×C1312yes—
864C22×C8C23×C1312yes—
865C22×C8C23×C1312yes—
866C4⋊Q8C23×C1311yescharacteristic
867C4⋊Q8C23×C1311yescharacteristic
868#126—21no—
869#126—21no—
870#126—21no—
871#126—21no—
872#126—21no—
873#126—21no—
874#125—21no—
875#125—21no—
876#125—21no—
877#125C23×C1311yescharacteristic
878#125C23×C1311yescharacteristic
879#124—21no—
880#124—22no—
881#124—22no—
882#124—22no—
883#124—22no—
884#124—21no—
885#124—21no—
886#124—21no—
887#124—21no—
888#124C23×C1312yes—
889#124C23×C1312yes—
890#123—21no—
891#123—21no—
892#123—21no—
893#123—21no—
894#123—21no—
895#123—21no—
896#123—21no—
897#123—21no—
898C22⋊Q8—21no—
899C22⋊Q8—21no—
900C22⋊Q8—21no—
901C22⋊Q8—21no—
902C22⋊Q8—22no—
903C22⋊Q8—22no—
904C22⋊Q8—22no—
905C22⋊Q8—22no—
906C22⋊Q8—21no—
907C22⋊Q8—21no—
908C22⋊Q8—21no—
909C22⋊Q8C23×C1312yes—
910C22⋊Q8C23×C1312yes—
911C22⋊Q8C23×C1311yescharacteristic
912C22⋊Q8C23×C1311yescharacteristic
913C22⋊Q8C23×C1311yescharacteristic
914C22⋊Q8C23×C1311yescharacteristic
915#121—22no—
916#121—22no—
917#121—22no—
918#121—22no—
919#121—21no—
920#121—21no—
921#121—21no—
922#121—21no—
923#121—21no—
924#121C23×C1312yes—
925#121C23×C1312yes—
926#121C23×C1311yescharacteristic
927#121C23×C1311yescharacteristic
928#121C23×C1311yescharacteristic
929#121C23×C1311yescharacteristic
930#120—21no—
931#120—21no—
932C4×Q8—21no—
933C4×Q8—21no—
934C4×Q8—21no—
935C4×Q8—21no—
936C4×Q8—21no—
937C4×Q8C23×C1312yes—
938C4×Q8C23×C1312yes—
939C4×Q8C23×C1311yescharacteristic
940C4×Q8C23×C1311yescharacteristic
941C4×D4—21no—
942C4×D4—21no—
943C4×D4—21no—
944C4×D4—21no—
945C4×D4—21no—
946C4×D4—21no—
947C4×D4—21no—
948C4×D4—22no—
949C4×D4—22no—
950C4×D4—22no—
951C4×D4—22no—
952C4×D4—21no—
953C4×D4—21no—
954C4×D4D4×C1311yescharacteristic
955C4×D4D4×C1311yescharacteristic
956C4×D4D4×C1311yescharacteristic
957C4×D4D4×C1311yescharacteristic
958C4×D4C23×C1311yescharacteristic
959C4×D4C23×C1311yescharacteristic
960C4×D4C23×C1311yescharacteristic
961C4×D4C23×C1311yescharacteristic
962C4×D4C23×C1311yescharacteristic
963C4×D4C23×C1311yescharacteristic
964#117—21no—
965#117—21no—
966#117—21no—
967#117—21no—
968#117—21no—
969#117—21no—
970#117—21no—
971#117—21no—
972#117C23×C1311yescharacteristic
973#117C23×C1311yescharacteristic
974#117C23×C1311yescharacteristic
975#117C23×C1311yescharacteristic
976#117C23×C1311yescharacteristic
977#117C23×C1311yescharacteristic
978#117C23×C1311yescharacteristic
979C2×C4⋊C4—21no—
980C2×C4⋊C4—21no—
981C2×C4⋊C4D4×C1311yescharacteristic
982C2×C4⋊C4C23×C1311yescharacteristic
983C2×C4⋊C4C23×C1311yescharacteristic
984C2×C4⋊C4C23×C1311yescharacteristic
985C2×C4⋊C4C23×C1311yescharacteristic
986C2×C4⋊C4C23×C1311yescharacteristic
987C2×C22⋊C4—21no—
988C2×C22⋊C4—21no—
989C2×C22⋊C4—21no—
990C2×C22⋊C4—21no—
991C2×C22⋊C4—21no—
992C2×C22⋊C4—21no—
993C2×C22⋊C4D4×C1311yescharacteristic
994C2×C22⋊C4D4×C1311yescharacteristic
995C2×C42—21no—
996C2×C42—21no—
997C2×C42—21no—
998C2×C42—21no—
999C2×C42C23×C1311yescharacteristic
1000#107C23×C1312yes—
1001#107C23×C1312yes—
1002#107C23×C1312yes—
1003#106C23×C1312yes—
1004#106C23×C1312yes—
1005#106C23×C1312yes—
1006C4⋊C8C23×C1312yes—
1007C4⋊C8C23×C1312yes—
1008#103C23×C1312yes—
1009#103C23×C1312yes—
1010#103C23×C1312yes—
1011#103C23×C1312yes—
1012#103C23×C1312yes—
1013#103C23×C1312yes—
1014#103C23×C1312yes—
1015#103C23×C1312yes—
1016#103C23×C1312yes—
1017#103C23×C1312yes—
1018#103C23×C1312yes—
1019#103C23×C1312yes—
1020#103C23×C1312yes—
1021#102C23×C1312yes—
1022#102C23×C1312yes—
1023#102C23×C1312yes—
1024#102C23×C1312yes—
1025#102C23×C1312yes—
1026#102C23×C1312yes—
1027#102C23×C1312yes—
1028C22⋊C8C23×C1312yes—
1029C22⋊C8C23×C1312yes—
1030C22⋊C8C23×C1312yes—
1031C22⋊C8C23×C1312yes—
1032#97C23×C1312yes—
1033C4×C8C23×C1312yes—
1034C2×C13—22no—
1035C2×C13—22no—
1036C2×C13—41no—
1037C2×C13—41no—
1038C2×C13—41no—
1039C2×C13—81no—
1040C2×C13—82no—
1041C2×C13C2×#54611yescharacteristic
1042C2×C13C2×#57511yescharacteristic
1043C2×C13#358611yescharacteristic
1044C24—21no—
1045C24C2×D4×C1311yescharacteristic
1046C24C2×D4×C1311yescharacteristic
1047#41—24no—
1048#41—24no—
1049#41—22no—
1050#41—22no—
1051#41—42no—
1052#41—42no—
1053#41—44no—
1054#41—44no—
1055#41—44no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—22no—
1059C2×Q8—22no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—22no—
1063C2×Q8—24no—
1064C2×Q8—24no—
1065C2×Q8—22no—
1066C2×Q8—22no—
1067C2×Q8—44no—
1068C2×Q8—42no—
1069C2×Q8—42no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8C13×#4114yescomplemented
1073C2×Q8C24×C1312yes—
1074C2×Q8C24×C1311yescharacteristic
1075C2×Q8C24×C1312yes—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—22no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—44no—
1089C2×D4—42no—
1090C2×D4—44no—
1091C2×D4C2×D4×C1311yescharacteristic
1092C2×D4C2×D4×C1311yescharacteristic
1093C2×D4C2×D4×C1311yescharacteristic
1094C2×D4C2×D4×C1311yescharacteristic
1095C2×D4C24×C1312yes—
1096C2×D4C24×C1311yescharacteristic
1097C22×C4—21no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—21no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4C2×D4×C1311yescharacteristic
1118C22×C4C2×D4×C1311yescharacteristic
1119C22×C4C2×D4×C1311yescharacteristic
1120C22×C4C2×D4×C1311yescharacteristic
1121C22×C4C2×D4×C1311yescharacteristic
1122C22×C4C2×D4×C1311yescharacteristic
1123C22×C4C2×D4×C1311yescharacteristic
1124C22×C4C2×D4×C1311yescharacteristic
1125C22×C4C24×C1311yescharacteristic
1126C22×C4C24×C1311yescharacteristic
1127C22×C4C24×C1311yescharacteristic
1128C22×C4C24×C1311yescharacteristic
1129C22×C4C24×C1311yescharacteristic
1130Q16—24no—
1131Q16—42no—
1132SD16—24no—
1133SD16—42no—
1134SD16—42no—
1135D8—42no—
1136M16—22no—
1137M16—22no—
1138M16—22no—
1139M16—22no—
1140M16—42no—
1141M16—42no—
1142C2×C8—42no—
1143C2×C8—42no—
1144C2×C8C24×C1312yes—
1145C2×C8C24×C1312yes—
1146C2×C8C24×C1312yes—
1147C2×C8C24×C1312yes—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—21no—
1153C4⋊C4—21no—
1154C4⋊C4—21no—
1155C4⋊C4—21no—
1156C4⋊C4—21no—
1157C4⋊C4—21no—
1158C4⋊C4—21no—
1159C4⋊C4—21no—
1160C4⋊C4—21no—
1161C4⋊C4—21no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4C2×D4×C1311yescharacteristic
1170C4⋊C4C2×D4×C1311yescharacteristic
1171C4⋊C4C2×D4×C1311yescharacteristic
1172C4⋊C4C2×D4×C1311yescharacteristic
1173C4⋊C4C24×C1311yescharacteristic
1174C4⋊C4C24×C1311yescharacteristic
1175C4⋊C4C24×C1311yescharacteristic
1176C4⋊C4C24×C1311yescharacteristic
1177C4⋊C4C24×C1311yescharacteristic
1178C4⋊C4C24×C1311yescharacteristic
1179C4⋊C4C24×C1312yes—
1180C22⋊C4—21no—
1181C22⋊C4—21no—
1182C22⋊C4—21no—
1183C22⋊C4—21no—
1184C22⋊C4—21no—
1185C22⋊C4—21no—
1186C22⋊C4—21no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—21no—
1190C22⋊C4—21no—
1191C22⋊C4—21no—
1192C22⋊C4—21no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—21no—
1200C22⋊C4—21no—
1201C22⋊C4—21no—
1202C22⋊C4—21no—
1203C22⋊C4—21no—
1204C22⋊C4—21no—
1205C22⋊C4C2×D4×C1311yescharacteristic
1206C22⋊C4C2×D4×C1311yescharacteristic
1207C22⋊C4C2×D4×C1311yescharacteristic
1208C22⋊C4C2×D4×C1311yescharacteristic
1209C22⋊C4C2×D4×C1311yescharacteristic
1210C22⋊C4C2×D4×C1311yescharacteristic
1211C22⋊C4C2×D4×C1311yescharacteristic
1212C22⋊C4C2×D4×C1311yescharacteristic
1213C42—21no—
1214C42—21no—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—22no—
1222C42—22no—
1223C42—21no—
1224C42C2×D4×C1311yescharacteristic
1225C42C2×D4×C1311yescharacteristic
1226C42C24×C1311yescharacteristic
1227C42C24×C1311yescharacteristic
1228C13#6115811yescharacteristic, direct product factor, Sylow
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—21no—
1233C23—22no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—42no—
1238C23—42no—
1239C23—42no—
1240C23C22×D4×C1311yescharacteristic
1241C23C22×D4×C1311yescharacteristic
1242C23C22×D4×C1311yescharacteristic
1243C23C22×D4×C1311yescharacteristic
1244C23C22×D4×C1311yescharacteristic
1245Q8—24no—
1246Q8—22no—
1247Q8—21no—
1248Q8—22no—
1249Q8—21no—
1250Q8—22no—
1251Q8—44no—
1252Q8—44no—
1253Q8—42no—
1254Q8—42no—
1255Q8—81no—
1256Q8C2×C13×#4114yes—
1257D4—22no—
1258D4—22no—
1259D4—21no—
1260D4—22no—
1261D4—21no—
1262D4—22no—
1263D4—41no—
1264D4—41no—
1265D4—44no—
1266D4—44no—
1267D4—44no—
1268D4—42no—
1269D4—42no—
1270D4—44no—
1271D4—42no—
1272D4—42no—
1273D4—81no—
1274D4—81no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—24no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—22no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—22no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—44no—
1303C2×C4—44no—
1304C2×C4—44no—
1305C2×C4—44no—
1306C2×C4—42no—
1307C2×C4—42no—
1308C2×C4—42no—
1309C2×C4—42no—
1310C2×C4—42no—
1311C2×C4—42no—
1312C2×C4—81no—
1313C2×C4—81no—
1314C2×C4—81no—
1315C2×C4C22×D4×C1311yescharacteristic
1316C2×C4C22×D4×C1311yescharacteristic
1317C2×C4C22×D4×C1311yescharacteristic
1318C2×C4C22×D4×C1311yescharacteristic
1319C2×C4C22×D4×C1311yescharacteristic
1320C2×C4C22×D4×C1311yescharacteristic
1321C2×C4C22×D4×C1311yescharacteristic
1322C2×C4C22×D4×C1311yescharacteristic
1323C2×C4C22×D4×C1311yescharacteristic
1324C2×C4C2×C13×#4112yes—
1325C2×C4C13×H(5,𝔽2)12yes—
1326C2×C4C25×C1311yescharacteristic
1327C8—22no—
1328C8—22no—
1329C8—22no—
1330C8—22no—
1331C22—21no—
1332C22—21no—
1333C22—21no—
1334C22—21no—
1335C22—21no—
1336C22—21no—
1337C22—21no—
1338C22—21no—
1339C22—21no—
1340C22—21no—
1341C22—21no—
1342C22—21no—
1343C22—21no—
1344C22—44no—
1345C22—41no—
1346C22—42no—
1347C22—41no—
1348C22—42no—
1349C22—42no—
1350C22—41no—
1351C22—82no—
1352C22—84no—
1353C22C13×#54612yes—
1354C22C13×#57512yes—
1355C22C23×D4×C1311yescharacteristic
1356C4—21no—
1357C4—21no—
1358C4—21no—
1359C4—21no—
1360C4—21no—
1361C4—21no—
1362C4—21no—
1363C4—21no—
1364C4—24no—
1365C4—41no—
1366C4—42no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—42no—
1373C4—41no—
1374C4C13×#54612yes—
1375C4C22×C13×#4111yescharacteristic
1376C4C2×C13×H(5,𝔽2)11yescharacteristic
1377C2—22no—
1378C2—22no—
1379C2—41no—
1380C2—41no—
1381C2—41no—
1382C2—82no—
1383C2—81no—
1384C2C2×C13×#54611yescharacteristic
1385C2C2×C13×#57511yescharacteristic
1386C2C13×#358611yescharacteristic
subgroupG/H
center, socleC22×C13C23×D4
commutator, Frattini, cosocleC2×C4C25×C13
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C13 ◁ C2×C4×D4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3475C2semidirect
2. C2×C13×#548C2semidirect
3. C13×#3327C2semidirect
4. C13×#3326C2semidirect
5. C13×#3321C2semidirect
6. C13×#3316C2semidirect
7. C13×#3313C2semidirect
8. C13×#3308C2semidirect
9. C13×#3301C2semidirect
10. C13×#3300C2semidirect
11. C13×#3140C2semidirect
12. C13×#3095C2semidirect
13. C13×#3094C2semidirect
14. C13×#3078C2semidirect
15. C13×#3056C2semidirect
16. C13×#3055C2semidirect
17. C13×#3040C2semidirect
18. C13×#3005C2semidirect
19. C13×#3004C2semidirect
20. C4×C13×#137C2semidirect
21. D4×C13×M16C2semidirect
22. C13×#2896C2semidirect
23. C2×C13×#419C2semidirect
31. C13×#556C22semidirect
32. C13×#555C22semidirect
33. C13×#554C22semidirect
34. C13×#553C22semidirect
35. C13×#553C22semidirect
37. C13×#552C22semidirect
38. C13×#552C22semidirect
49. C13×#547C22semidirect
70. C13×#489C22semidirect
71. C13×#489C22semidirect
72. C13×#488C22semidirect
73. C13×#488C22semidirect
74. C13×#485C22semidirect
75. C13×#485C22semidirect
76. C13×#484C22semidirect
77. C13×#483C22semidirect
78. C13×#482C22semidirect
79. C13×#482C22semidirect
80. C13×#481C22semidirect
81. C13×#480C22semidirect
82. C13×#479C22semidirect
83. C13×#479C22semidirect
84. C13×#477C22semidirect
85. C13×#475C22semidirect
86. C13×#470C22semidirect
87. C13×#469C22semidirect
88. C13×#468C22semidirect
89. C13×#468C22semidirect
90. C13×#467C22semidirect
91. C13×#466C22semidirect
92. C13×#465C22semidirect
93. C13×#465C22semidirect
94. C13×#464C22semidirect
95. C13×#464C22semidirect
96. C13×#463C22semidirect
97. C13×#463C22semidirect
98. C13×#452C22semidirect
99. C13×#452C22semidirect
100. C13×#451C22semidirect
101. C13×#451C22semidirect
102. C13×#449C22semidirect
103. C13×#449C22semidirect
104. C13×#448C22semidirect
105. C13×#448C22semidirect
106. C13×#441C22semidirect
107. C13×#440C22semidirect
108. C4×C13×Q16C22semidirect
109. C4×C13×SD16C22semidirect
110. C13×#436C22semidirect
111. C13×#435C22semidirect
112. C13×#435C22semidirect
113. C8×D4×C13C22semidirect
124. C13×#419C22semidirect
125. C13×#419C22semidirect
130. C13×#417C22semidirect
131. C13×#417C22semidirect
132. C13×#416C22semidirect
133. C13×#416C22semidirect
134. C2×C13×#103C22semidirect
135. C2×C13×#103C22semidirect
351. #61158C13direct (N × H)
380. C2×Q8×C13#41semidirect
536. #3475C2×C13semidirect
537. C2×#548C2×C13semidirect
538. #3327C2×C13semidirect
539. #3326C2×C13semidirect
540. #3321C2×C13semidirect
541. #3316C2×C13semidirect
542. #3313C2×C13semidirect
543. #3308C2×C13semidirect
544. #3301C2×C13semidirect
545. #3300C2×C13semidirect
546. #3140C2×C13semidirect
547. #3095C2×C13semidirect
548. #3094C2×C13semidirect
549. #3078C2×C13semidirect
550. #3056C2×C13semidirect
551. #3055C2×C13semidirect
552. #3040C2×C13semidirect
553. #3005C2×C13semidirect
554. #3004C2×C13semidirect
555. C4×#137C2×C13semidirect
556. D4×M16C2×C13semidirect
557. #2896C2×C13semidirect
558. C2×#419C2×C13semidirect
668. #556C22×C13semidirect
669. #555C22×C13semidirect
670. #554C22×C13semidirect
671. #553C22×C13semidirect
672. #553C22×C13semidirect
674. #552C22×C13semidirect
675. #552C22×C13semidirect
686. #547C22×C13semidirect
707. #489C22×C13semidirect
708. #489C22×C13semidirect
709. #488C22×C13semidirect
710. #488C22×C13semidirect
711. #485C22×C13semidirect
712. #485C22×C13semidirect
713. #484C22×C13semidirect
714. #483C22×C13semidirect
715. #482C22×C13semidirect
716. #482C22×C13semidirect
717. #481C22×C13semidirect
718. #480C22×C13semidirect
719. #479C22×C13semidirect
720. #479C22×C13semidirect
721. #477C22×C13semidirect
722. #475C22×C13semidirect
723. #470C22×C13semidirect
724. #469C22×C13semidirect
725. #468C22×C13semidirect
726. #468C22×C13semidirect
727. #467C22×C13semidirect
728. #466C22×C13semidirect
729. #465C22×C13semidirect
730. #465C22×C13semidirect
731. #464C22×C13semidirect
732. #464C22×C13semidirect
733. #463C22×C13semidirect
734. #463C22×C13semidirect
735. #452C22×C13semidirect
736. #452C22×C13semidirect
737. #451C22×C13semidirect
738. #451C22×C13semidirect
739. #449C22×C13semidirect
740. #449C22×C13semidirect
741. #448C22×C13semidirect
742. #448C22×C13semidirect
743. #441C22×C13semidirect
744. #440C22×C13semidirect
745. C4×Q16C22×C13semidirect
746. C4×SD16C22×C13semidirect
747. #436C22×C13semidirect
748. #435C22×C13semidirect
749. #435C22×C13semidirect
750. C8×D4C22×C13semidirect
761. #419C22×C13semidirect
762. #419C22×C13semidirect
767. #417C22×C13semidirect
768. #417C22×C13semidirect
769. #416C22×C13semidirect
770. #416C22×C13semidirect
771. C2×#103C22×C13semidirect
772. C2×#103C22×C13semidirect
1072. C2×Q8C13×#41semidirect
1228. C13#61158direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#34752
C2×C13×#5482
C13×#33272
C13×#33262
C13×#33212
C13×#33162
C13×#33132
C13×#33082
C13×#33012
C13×#33002
C13×#31402
C13×#30952
C13×#30942
C13×#30782
C13×#30562
C13×#30552
C13×#30402
C13×#30052
C13×#30042
C4×C13×#1372
D4×C13×M162
C13×#28962
C2×C13×#4192
#6115813