Finite Group Databasebeta

← C19×#61066 #18067025

Subgroups — C19×#61066 #18067025

Order 4864.

2912 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C19×#575C211yesmaximal, characteristic, complemented
2C22×C19×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3D4×#41×C19C211yesmaximal, characteristic, complemented
4C2×C19×#546C211yesmaximal, characteristic, complemented
5C19×#3282C212yesmaximal, complemented
6C19×#3280C212yesmaximal, complemented
7C19×#3275C212yesmaximal, complemented
8C19×#3273C212yesmaximal, complemented
9C19×#3268C212yesmaximal, complemented
10C19×#3267C212yesmaximal, complemented
11C19×#3266C212yesmaximal, complemented
12C19×#3264C212yesmaximal, complemented
13C19×#3153C211yesmaximal, characteristic, complemented
14C19×#3056C211yesmaximal, characteristic, complemented
15C19×#3055C211yesmaximal, characteristic, complemented
16C19×#3040C211yesmaximal, characteristic, complemented
17C19×#3036C211yesmaximal, characteristic, complemented
18C19×#3007C211yesmaximal, characteristic, complemented
19C19×#3006C211yesmaximal, characteristic, complemented
20C19×#3005C211yesmaximal, characteristic, complemented
21C19×#3003C211yesmaximal, characteristic, complemented
22C4×C19×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
23D4×M16×C19C211yesmaximal, characteristic, complemented
24C22×#41×C19C2211yescharacteristic
25C22×#41×C19C2211yescharacteristic, complemented
26C22×#41×C19C2211yescharacteristic, complemented
27C23×D4×C19C2211yescharacteristic, complemented
28C19×#575—28no—
29C2×C19×#137C2211yescharacteristic, complemented
30C2×C19×#137C2211yescharacteristic, complemented
31C2×C19×#137C2211yescharacteristic, complemented
32C2×C19×#137C2212yescomplemented
33C2×C19×AGL(1,ℤ/8)—28no—
34C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
35C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
36C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C19×AGL(1,ℤ/8)C2212yescomplemented
39C2×C19×AGL(1,ℤ/8)C2212yescomplemented
40C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
41C2×C19×AGL(1,ℤ/8)C2211yescharacteristic, complemented
42C2×C19×AGL(1,ℤ/8)C2212yescomplemented
43C2×C19×#135C2212yescomplemented
44C2×C19×#135C2212yescomplemented
45C22×SD16×C19C2212yescomplemented
46C22×D8×C19C2212yescomplemented
47C22×M16×C19C2211yescharacteristic, complemented
48C22×M16×C19C2211yescharacteristic, complemented
49C19×#550C2211yescharacteristic, complemented
50D4×Q8×C19C2211yescharacteristic, complemented
51C19×#548C2211yescharacteristic, complemented
52C19×#548C2211yescharacteristic, complemented
53C19×#547—21no—
54C19×#547C2211yescharacteristic, complemented
55C19×#546—21no—
56C19×#546—21no—
57C19×#546—21no—
58C19×#546—21no—
59C19×#546—21no—
60C19×#546—21no—
61C19×#546C2212yes—
62C19×#546C2212yescomplemented
63C19×#546C2212yescomplemented
64C19×#546C2212yescomplemented
65C19×#546C2211yescharacteristic, complemented
66C19×#546C2211yescharacteristic, complemented
67D42×C19—21no—
68D42×C19C2211yescharacteristic, complemented
69C19×#532—21no—
70C19×#532C2211yescharacteristic, complemented
71C2×C19×#124C2211yescharacteristic, complemented
72C19×#525—21no—
73C19×#525—21no—
74C19×#525C2211yescharacteristic
75C19×#525C2211yescharacteristic, complemented
76C2×C19×#123—21no—
77C2×C19×C22⋊Q8C2211yescharacteristic, complemented
78C2×C19×#121—21no—
79C2×C19×#121C2211yescharacteristic, complemented
80C2×C19×#120—21no—
81C4×#41×C19C2211yescharacteristic, complemented
82C2×C4×D4×C19—21no—
83C2×C4×D4×C19C2211yescharacteristic
84C2×C4×D4×C19C2211yescharacteristic, complemented
85C22×C22⋊C4×C19—21no—
86C19×#497C2212yescomplemented
87C19×#496C2212yescomplemented
88C19×#495C2212yescomplemented
89C19×#495C2212yescomplemented
90C19×#470C2212yescomplemented
91C19×#469C2212yescomplemented
92C19×#468C2212yescomplemented
93C19×#468C2212yescomplemented
94C19×#467C2212yescomplemented
95C19×#466C2212yescomplemented
96C19×#465C2212yescomplemented
97C19×#465C2212yescomplemented
98C19×#464C2212yescomplemented
99C19×#464C2212yescomplemented
100C19×#463C2212yescomplemented
101C19×#463C2212yescomplemented
102C19×#463C2212yescomplemented
103C19×#463C2212yescomplemented
104C19×#461C2212yescomplemented
105C19×#459C2212yescomplemented
106C19×#452C2212yescomplemented
107C19×#452C2212yescomplemented
108C19×#452C2212yescomplemented
109C19×#452C2212yescomplemented
110C19×#451C2212yescomplemented
111C19×#450C2212yescomplemented
112C19×#450C2212yescomplemented
113C19×#450C2212yescomplemented
114C19×#449C2212yescomplemented
115C19×#449C2212yescomplemented
116C19×#449C2212yescomplemented
117C19×#449C2212yescomplemented
118C19×#448C2212yescomplemented
119C19×#447C2212yescomplemented
120C19×#447C2212yescomplemented
121C19×#447C2212yescomplemented
122C19×#442C2212yescomplemented
123C19×#440C2212yescomplemented
124C4×SD16×C19C2212yescomplemented
125C4×D8×C19C2212yescomplemented
126C19×#436C2212yescomplemented
127C19×#435C2212yescomplemented
128C19×#435C2212yescomplemented
129C8×D4×C19C2212yescomplemented
130C19×#428C2211yescharacteristic, complemented
131C19×#423C2211yescharacteristic, complemented
132C19×#419C2211yescharacteristic, complemented
133C19×#418C2211yescharacteristic, complemented
134C19×#418C2211yescharacteristic, complemented
135C19×#417C2211yescharacteristic, complemented
136C19×#417C2211yescharacteristic, complemented
137C19×#417C2211yescharacteristic, complemented
138C19×#407C2211yescharacteristic, complemented
139C19×#407C2211yescharacteristic, complemented
140C4×M16×C19C2211yescharacteristic, complemented
141C25×C19—21no—
142C2×#41×C19—21no—
143C2×#41×C19—21no—
144C2×#41×C19—21no—
145C2×#41×C19—21no—
146C2×#41×C19—21no—
147C2×#41×C19—21no—
148C2×#41×C19—24no—
149C2×#41×C19—24no—
150C2×#41×C19—24no—
151C2×#41×C19—42no—
152C2×#41×C19—42no—
153C2×#41×C19—42no—
154C2×#41×C19C2311yescharacteristic
155C2×#41×C19C2311yescharacteristic
156C2×#41×C19C2312yes—
157C2×#41×C19C2312yes—
158C2×#41×C19C2311yescharacteristic
159C2×#41×C19C2311yescharacteristic
160C2×#41×C19C2311yescharacteristic
161C2×#41×C19C2311yescharacteristic, complemented
162C2×#41×C19C2311yescharacteristic, complemented
163C22×Q8×C19C2311yescharacteristic
164C22×Q8×C19C2311yescharacteristic
165C22×Q8×C19C2311yescharacteristic, complemented
166C22×D4×C19—24no—
167C22×D4×C19—21no—
168C22×D4×C19—21no—
169C22×D4×C19—21no—
170C22×D4×C19—21no—
171C22×D4×C19—21no—
172C22×D4×C19—21no—
173C22×D4×C19—21no—
174C22×D4×C19—21no—
175C22×D4×C19—42no—
176C22×D4×C19D411yescharacteristic
177C22×D4×C19C2311yescharacteristic
178C22×D4×C19C2312yes—
179C22×D4×C19C2312yes—
180C22×D4×C19C2311yescharacteristic
181C22×D4×C19C2311yescharacteristic
182C22×D4×C19C2311yescharacteristic, complemented
183C23×C4×C19—21no—
184C23×C4×C19—21no—
185C23×C4×C19—21no—
186C23×C4×C19—21no—
187C23×C4×C19C2311yescharacteristic
188C23×C4×C19C2311yescharacteristic
189C19×#137—24no—
190C19×#137—28no—
191C19×#137—24no—
192C19×#137—42no—
193C19×AGL(1,ℤ/8)—24no—
194C19×AGL(1,ℤ/8)—24no—
195C19×AGL(1,ℤ/8)—24no—
196C19×AGL(1,ℤ/8)—28no—
197C19×AGL(1,ℤ/8)—28no—
198C19×AGL(1,ℤ/8)—28no—
199C19×AGL(1,ℤ/8)—24no—
200C19×AGL(1,ℤ/8)—42no—
201C19×AGL(1,ℤ/8)D418yescomplemented
202C19×#135—28no—
203C19×#135—28no—
204C2×Q16×C19C2312yescomplemented
205C2×Q16×C19C2312yescomplemented
206C2×Q16×C19C2312yescomplemented
207C2×SD16×C19—28no—
208C2×SD16×C19C2312yes—
209C2×SD16×C19C2312yes—
210C2×SD16×C19C2312yes—
211C2×SD16×C19C2312yes—
212C2×SD16×C19C2312yes—
213C2×SD16×C19C2312yes—
214C2×SD16×C19C2312yescomplemented
215C2×SD16×C19C2312yescomplemented
216C2×SD16×C19C2312yescomplemented
217C2×D8×C19—28no—
218C2×D8×C19C2312yes—
219C2×D8×C19C2312yes—
220C2×D8×C19C2312yes—
221C2×D8×C19C2312yes—
222C2×D8×C19C2312yes—
223C2×D8×C19C2312yes—
224C2×M16×C19—24no—
225C2×M16×C19—24no—
226C2×M16×C19C2311yescharacteristic
227C2×M16×C19C2311yescharacteristic
228C2×M16×C19C2311yescharacteristic
229C2×M16×C19C2312yes—
230C2×M16×C19C2311yescharacteristic
231C2×M16×C19C2312yescomplemented
232C22×C8×C19C2312yes—
233C22×C8×C19C2312yescomplemented
234C19×C4⋊Q8—21no—
235C19×C4⋊Q8C2311yescharacteristic, complemented
236C19×#127—21no—
237C19×#127C2311yescharacteristic, complemented
238C19×#124—21no—
239C19×#124—21no—
240C19×#124—21no—
241C19×#124—21no—
242C19×#124C2312yes—
243C19×#124C2312yes—
244C19×#124C2311yescharacteristic, complemented
245C19×#124C2311yescharacteristic, complemented
246C19×#123—21no—
247C19×#123—21no—
248C19×#123—22no—
249C19×#123—22no—
250C19×#123—22no—
251C19×#123—22no—
252C19×#123—21no—
253C19×#123—21no—
254C19×#123—21no—
255C19×#123—21no—
256C19×C22⋊Q8—21no—
257C19×C22⋊Q8—21no—
258C19×C22⋊Q8—21no—
259C19×C22⋊Q8—21no—
260C19×C22⋊Q8—21no—
261C19×C22⋊Q8—21no—
262C19×C22⋊Q8C2311yescharacteristic
263C19×C22⋊Q8C2311yescharacteristic
264C19×C22⋊Q8C2312yes—
265C19×C22⋊Q8C2312yes—
266C19×C22⋊Q8C2311yescharacteristic, complemented
267C19×C22⋊Q8C2311yescharacteristic, complemented
268C19×#121—21no—
269C19×#121—21no—
270C19×#121—21no—
271C19×#121—21no—
272C19×#121—21no—
273C19×#121—21no—
274C19×#121—21no—
275C19×#121—21no—
276C19×#121—22no—
277C19×#121—22no—
278C19×#121—22no—
279C19×#121—22no—
280C19×#121—21no—
281C19×#121—21no—
282C19×#121—21no—
283C19×#121—21no—
284C19×#121C2311yescharacteristic
285C19×#121C2311yescharacteristic
286C19×#121C2312yes—
287C19×#121C2312yes—
288C19×#121C2311yescharacteristic, complemented
289C19×#121C2311yescharacteristic, complemented
290C19×#120—21no—
291C19×#120—21no—
292C19×#120—22no—
293C19×#120—22no—
294C19×#120—22no—
295C19×#120—22no—
296C19×#120—21no—
297C19×#120—21no—
298C19×#120—21no—
299C19×#120—21no—
300C4×Q8×C19C2311yescharacteristic, complemented
301C4×Q8×C19C2311yescharacteristic, complemented
302C4×D4×C19—21no—
303C4×D4×C19—21no—
304C4×D4×C19—21no—
305C4×D4×C19—21no—
306C4×D4×C19—21no—
307C4×D4×C19—21no—
308C4×D4×C19—21no—
309C4×D4×C19—21no—
310C4×D4×C19—21no—
311C4×D4×C19—21no—
312C4×D4×C19—21no—
313C4×D4×C19—21no—
314C4×D4×C19—21no—
315C4×D4×C19—21no—
316C4×D4×C19D411yescharacteristic
317C4×D4×C19D411yescharacteristic
318C4×D4×C19D411yescharacteristic
319C4×D4×C19D411yescharacteristic
320C4×D4×C19C2312yes—
321C4×D4×C19C2312yes—
322C4×D4×C19C2311yescharacteristic
323C4×D4×C19C2311yescharacteristic
324C4×D4×C19C2311yescharacteristic
325C4×D4×C19C2311yescharacteristic
326C4×D4×C19C2311yescharacteristic, complemented
327C4×D4×C19C2311yescharacteristic, complemented
328C19×#117—21no—
329C19×#117C2311yescharacteristic
330C2×C4⋊C4×C19—21no—
331C2×C4⋊C4×C19—21no—
332C2×C4⋊C4×C19D411yescharacteristic
333C2×C4⋊C4×C19C2311yescharacteristic
334C2×C22⋊C4×C19—21no—
335C2×C22⋊C4×C19—21no—
336C2×C22⋊C4×C19—21no—
337C2×C22⋊C4×C19—21no—
338C2×C22⋊C4×C19—21no—
339C2×C22⋊C4×C19—22no—
340C2×C22⋊C4×C19—22no—
341C2×C22⋊C4×C19—22no—
342C2×C22⋊C4×C19—22no—
343C2×C22⋊C4×C19—21no—
344C2×C22⋊C4×C19—21no—
345C2×C22⋊C4×C19D411yescharacteristic
346C2×C22⋊C4×C19D411yescharacteristic
347C2×C42×C19—21no—
348C2×C42×C19C2311yescharacteristic
349C19×#107C2312yescomplemented
350C19×#106C2312yescomplemented
351C19×C4⋊C8C2312yescomplemented
352C19×C4⋊C8C2312yescomplemented
353C19×#103C2312yescomplemented
354C19×#103C2312yescomplemented
355C19×#103C2312yescomplemented
356C19×#103C2312yescomplemented
357C19×#103C2312yescomplemented
358C19×#102C2312yes—
359C19×#102C2312yes—
360C19×#102C2312yes—
361C19×#102C2312yes—
362C19×#102C2312yescomplemented
363C19×#102C2312yescomplemented
364C19×#102C2312yescomplemented
365C19×C22⋊C8C2312yes—
366C19×C22⋊C8C2312yes—
367C19×C22⋊C8C2312yescomplemented
368C19×C22⋊C8C2312yescomplemented
369C19×#97C2312yescomplemented
370C4×C8×C19C2312yescomplemented
371C24×C19—21no—
372C24×C19—21no—
373C24×C19—22no—
374C24×C19—22no—
375C24×C19—21no—
376C24×C19—21no—
377C24×C19—44no—
378C24×C19—44no—
379C24×C19—82no—
380C24×C19C2×D411yescharacteristic
381C24×C19C2×D411yescharacteristic
382#41×C19—22no—
383#41×C19—22no—
384#41×C19—22no—
385#41×C19—24no—
386#41×C19—22no—
387#41×C19—22no—
388#41×C19—24no—
389#41×C19—22no—
390#41×C19—22no—
391#41×C19—22no—
392#41×C19—22no—
393#41×C19—44no—
394#41×C19—44no—
395#41×C19—41no—
396#41×C19—41no—
397#41×C19—42no—
398#41×C19—42no—
399#41×C19—41no—
400#41×C19—41no—
401#41×C19—44no—
402#41×C19—44no—
403#41×C19—44no—
404#41×C19—44no—
405#41×C19C2×D414yes—
406C2×Q8×C19—21no—
407C2×Q8×C19—21no—
408C2×Q8×C19—21no—
409C2×Q8×C19—22no—
410C2×Q8×C19—22no—
411C2×Q8×C19—22no—
412C2×Q8×C19—22no—
413C2×Q8×C19—41no—
414C2×Q8×C19—41no—
415C2×Q8×C19C2412yes—
416C2×Q8×C19C2411yescharacteristic
417C2×Q8×C19C2411yescharacteristic
418C2×Q8×C19C2411yescharacteristic
419C2×D4×C19—21no—
420C2×D4×C19—22no—
421C2×D4×C19—24no—
422C2×D4×C19—24no—
423C2×D4×C19—22no—
424C2×D4×C19—21no—
425C2×D4×C19—21no—
426C2×D4×C19—22no—
427C2×D4×C19—22no—
428C2×D4×C19—21no—
429C2×D4×C19—21no—
430C2×D4×C19—21no—
431C2×D4×C19—21no—
432C2×D4×C19—21no—
433C2×D4×C19—21no—
434C2×D4×C19—21no—
435C2×D4×C19—21no—
436C2×D4×C19—22no—
437C2×D4×C19—22no—
438C2×D4×C19—21no—
439C2×D4×C19—22no—
440C2×D4×C19—21no—
441C2×D4×C19—21no—
442C2×D4×C19—21no—
443C2×D4×C19—22no—
444C2×D4×C19—22no—
445C2×D4×C19—21no—
446C2×D4×C19—21no—
447C2×D4×C19—22no—
448C2×D4×C19—22no—
449C2×D4×C19—42no—
450C2×D4×C19—42no—
451C2×D4×C19—41no—
452C2×D4×C19—41no—
453C2×D4×C19—44no—
454C2×D4×C19—44no—
455C2×D4×C19—44no—
456C2×D4×C19—42no—
457C2×D4×C19—44no—
458C2×D4×C19—44no—
459C2×D4×C19—44no—
460C2×D4×C19—44no—
461C2×D4×C19—82no—
462C2×D4×C19C2×D411yescharacteristic
463C2×D4×C19C2×D411yescharacteristic
464C2×D4×C19C2×D411yescharacteristic
465C2×D4×C19C2×D411yescharacteristic
466C2×D4×C19C2×D414yescomplemented
467C2×D4×C19C2412yes—
468C2×D4×C19C2411yescharacteristic
469C2×D4×C19C2411yescharacteristic
470C2×D4×C19C2412yes—
471C2×D4×C19C2411yescharacteristic
472C22×C4×C19—21no—
473C22×C4×C19—22no—
474C22×C4×C19—22no—
475C22×C4×C19—22no—
476C22×C4×C19—22no—
477C22×C4×C19—21no—
478C22×C4×C19—21no—
479C22×C4×C19—21no—
480C22×C4×C19—21no—
481C22×C4×C19—21no—
482C22×C4×C19—22no—
483C22×C4×C19—22no—
484C22×C4×C19—21no—
485C22×C4×C19—21no—
486C22×C4×C19—21no—
487C22×C4×C19—21no—
488C22×C4×C19—21no—
489C22×C4×C19—21no—
490C22×C4×C19—21no—
491C22×C4×C19—22no—
492C22×C4×C19—22no—
493C22×C4×C19—44no—
494C22×C4×C19—44no—
495C22×C4×C19—44no—
496C22×C4×C19—82no—
497C22×C4×C19C2×D411yescharacteristic
498C22×C4×C19C2×D411yescharacteristic
499C22×C4×C19C2×D411yescharacteristic
500C22×C4×C19C2×D411yescharacteristic
501C22×C4×C19C2×D411yescharacteristic
502C22×C4×C19C2×D411yescharacteristic
503C22×C4×C19C2×D411yescharacteristic
504C22×C4×C19C2×D411yescharacteristic
505C22×C4×C19C2411yescharacteristic
506C22×C4×C19C2411yescharacteristic
507C22×C4×C19C2411yescharacteristic
508C22×C4×C19C2411yescharacteristic
509C22×C4×C19C2411yescharacteristic
510Q16×C19—24no—
511Q16×C19—24no—
512Q16×C19—42no—
513SD16×C19—24no—
514SD16×C19—24no—
515SD16×C19—24no—
516SD16×C19—24no—
517SD16×C19—24no—
518SD16×C19—24no—
519SD16×C19—42no—
520SD16×C19—42no—
521SD16×C19C2×D418yescomplemented
522D8×C19—24no—
523D8×C19—24no—
524D8×C19—24no—
525D8×C19—24no—
526D8×C19—42no—
527D8×C19C2×D418yescomplemented
528M16×C19—22no—
529M16×C19—22no—
530M16×C19—22no—
531M16×C19—24no—
532M16×C19—24no—
533M16×C19C2×D414yescomplemented
534C2×C8×C19—24no—
535C2×C8×C19—24no—
536C2×C8×C19C2412yes—
537C2×C8×C19C2412yes—
538C2×C8×C19C2412yes—
539C2×C8×C19C2412yes—
540C4⋊C4×C19—21no—
541C4⋊C4×C19—21no—
542C4⋊C4×C19—21no—
543C4⋊C4×C19—22no—
544C4⋊C4×C19—22no—
545C4⋊C4×C19—21no—
546C4⋊C4×C19—21no—
547C4⋊C4×C19—21no—
548C4⋊C4×C19—21no—
549C4⋊C4×C19—21no—
550C4⋊C4×C19—21no—
551C4⋊C4×C19C2×D411yescharacteristic
552C4⋊C4×C19C2×D411yescharacteristic
553C4⋊C4×C19C2×D411yescharacteristic
554C4⋊C4×C19C2×D411yescharacteristic
555C4⋊C4×C19C2412yes—
556C4⋊C4×C19C2411yescharacteristic
557C4⋊C4×C19C2411yescharacteristic
558C22⋊C4×C19—22no—
559C22⋊C4×C19—22no—
560C22⋊C4×C19—21no—
561C22⋊C4×C19—21no—
562C22⋊C4×C19—21no—
563C22⋊C4×C19—21no—
564C22⋊C4×C19—21no—
565C22⋊C4×C19—22no—
566C22⋊C4×C19—22no—
567C22⋊C4×C19—22no—
568C22⋊C4×C19—22no—
569C22⋊C4×C19—21no—
570C22⋊C4×C19—21no—
571C22⋊C4×C19—21no—
572C22⋊C4×C19—21no—
573C22⋊C4×C19—22no—
574C22⋊C4×C19—22no—
575C22⋊C4×C19—22no—
576C22⋊C4×C19—22no—
577C22⋊C4×C19—21no—
578C22⋊C4×C19—21no—
579C22⋊C4×C19—21no—
580C22⋊C4×C19—21no—
581C22⋊C4×C19—21no—
582C22⋊C4×C19—21no—
583C22⋊C4×C19C2×D411yescharacteristic
584C22⋊C4×C19C2×D411yescharacteristic
585C22⋊C4×C19C2×D411yescharacteristic
586C22⋊C4×C19C2×D411yescharacteristic
587C22⋊C4×C19C2×D411yescharacteristic
588C22⋊C4×C19C2×D411yescharacteristic
589C22⋊C4×C19C2×D411yescharacteristic
590C22⋊C4×C19C2×D411yescharacteristic
591C42×C19—21no—
592C42×C19—21no—
593C42×C19—21no—
594C42×C19C2×D411yescharacteristic
595C42×C19C2×D411yescharacteristic
596C42×C19C2411yescharacteristic
597C42×C19C2411yescharacteristic
598#61066C1911yesmaximal, characteristic, direct product factor, Sylow
599C23×C19—22no—
600C23×C19—24no—
601C23×C19—22no—
602C23×C19—21no—
603C23×C19—22no—
604C23×C19—22no—
605C23×C19—22no—
606C23×C19—21no—
607C23×C19—21no—
608C23×C19—41no—
609C23×C19—41no—
610C23×C19—41no—
611C23×C19—42no—
612C23×C19—42no—
613C23×C19—44no—
614C23×C19—44no—
615C23×C19—42no—
616C23×C19—42no—
617C23×C19—42no—
618C23×C19—42no—
619C23×C19—42no—
620C23×C19—44no—
621C23×C19—42no—
622C23×C19—42no—
623C23×C19—44no—
624C23×C19—81no—
625C23×C19—81no—
626C23×C19—82no—
627C23×C19—82no—
628C23×C19—816no—
629C23×C19C22×D411yescharacteristic
630C23×C19C22×D411yescharacteristic
631C23×C19C22×D411yescharacteristic
632C23×C19C22×D411yescharacteristic
633C23×C19C22×D411yescharacteristic
634Q8×C19—21no—
635Q8×C19—21no—
636Q8×C19—21no—
637Q8×C19—22no—
638Q8×C19—21no—
639Q8×C19—22no—
640Q8×C19—21no—
641Q8×C19—42no—
642Q8×C19—42no—
643Q8×C19—42no—
644Q8×C19C22×D412yes—
645D4×C19—24no—
646D4×C19—22no—
647D4×C19—22no—
648D4×C19—24no—
649D4×C19—21no—
650D4×C19—22no—
651D4×C19—21no—
652D4×C19—22no—
653D4×C19—21no—
654D4×C19—21no—
655D4×C19—22no—
656D4×C19—21no—
657D4×C19—41no—
658D4×C19—41no—
659D4×C19—44no—
660D4×C19—44no—
661D4×C19—42no—
662D4×C19—42no—
663D4×C19—42no—
664D4×C19—42no—
665D4×C19—42no—
666D4×C19—44no—
667D4×C19—42no—
668D4×C19—44no—
669D4×C19—42no—
670D4×C19—42no—
671D4×C19—42no—
672D4×C19—42no—
673D4×C19—42no—
674D4×C19—42no—
675D4×C19—81no—
676D4×C19—81no—
677D4×C19—81no—
678D4×C19—82no—
679D4×C19—82no—
680D4×C19C22×D412yes—
681D4×C19C22×D414yes—
682C2×C4×C19—22no—
683C2×C4×C19—22no—
684C2×C4×C19—21no—
685C2×C4×C19—22no—
686C2×C4×C19—22no—
687C2×C4×C19—22no—
688C2×C4×C19—22no—
689C2×C4×C19—24no—
690C2×C4×C19—21no—
691C2×C4×C19—21no—
692C2×C4×C19—21no—
693C2×C4×C19—21no—
694C2×C4×C19—21no—
695C2×C4×C19—21no—
696C2×C4×C19—21no—
697C2×C4×C19—21no—
698C2×C4×C19—21no—
699C2×C4×C19—21no—
700C2×C4×C19—22no—
701C2×C4×C19—22no—
702C2×C4×C19—21no—
703C2×C4×C19—21no—
704C2×C4×C19—41no—
705C2×C4×C19—41no—
706C2×C4×C19—42no—
707C2×C4×C19—42no—
708C2×C4×C19—42no—
709C2×C4×C19—42no—
710C2×C4×C19—42no—
711C2×C4×C19—44no—
712C2×C4×C19—42no—
713C2×C4×C19—44no—
714C2×C4×C19—42no—
715C2×C4×C19—42no—
716C2×C4×C19—42no—
717C2×C4×C19—42no—
718C2×C4×C19—42no—
719C2×C4×C19—81no—
720C2×C4×C19—82no—
721C2×C4×C19—82no—
722C2×C4×C19C22×D411yescharacteristic
723C2×C4×C19C22×D411yescharacteristic
724C2×C4×C19C22×D411yescharacteristic
725C2×C4×C19C22×D411yescharacteristic
726C2×C4×C19C22×D411yescharacteristic
727C2×C4×C19C22×D411yescharacteristic
728C2×C4×C19C22×D411yescharacteristic
729C2×C4×C19C22×D411yescharacteristic
730C2×C4×C19C22×D411yescharacteristic
731C2×C4×C19C22×D412yes—
732C2×C4×C19H(5,𝔽2)12yes—
733C2×C4×C19C2511yescharacteristic
734C8×C19—22no—
735C8×C19—22no—
736C8×C19—22no—
737C8×C19C22×D414yes—
738C2×#575C2×C1911yescharacteristic, complemented
739C22×AGL(1,ℤ/8)C2×C1911yescharacteristic, complemented
740D4×#41C2×C1911yescharacteristic, complemented
741C2×#546C2×C1911yescharacteristic, complemented
742#3282C2×C1912yescomplemented
743#3280C2×C1912yescomplemented
744#3275C2×C1912yescomplemented
745#3273C2×C1912yescomplemented
746#3268C2×C1912yescomplemented
747#3267C2×C1912yescomplemented
748#3266C2×C1912yescomplemented
749#3264C2×C1912yescomplemented
750#3153C2×C1911yescharacteristic, complemented
751#3056C2×C1911yescharacteristic, complemented
752#3055C2×C1911yescharacteristic, complemented
753#3040C2×C1911yescharacteristic, complemented
754#3036C2×C1911yescharacteristic, complemented
755#3007C2×C1911yescharacteristic, complemented
756#3006C2×C1911yescharacteristic, complemented
757#3005C2×C1911yescharacteristic, complemented
758#3003C2×C1911yescharacteristic, complemented
759C4×AGL(1,ℤ/8)C2×C1911yescharacteristic, complemented
760D4×M16C2×C1911yescharacteristic, complemented
761C22×C19—21no—
762C22×C19—21no—
763C22×C19—21no—
764C22×C19—21no—
765C22×C19—21no—
766C22×C19—21no—
767C22×C19—21no—
768C22×C19—21no—
769C22×C19—21no—
770C22×C19—21no—
771C22×C19—22no—
772C22×C19—24no—
773C22×C19—21no—
774C22×C19—21no—
775C22×C19—21no—
776C22×C19—44no—
777C22×C19—48no—
778C22×C19—42no—
779C22×C19—41no—
780C22×C19—41no—
781C22×C19—42no—
782C22×C19—42no—
783C22×C19—41no—
784C22×C19—41no—
785C22×C19—41no—
786C22×C19—41no—
787C22×C19—42no—
788C22×C19—41no—
789C22×C19—41no—
790C22×C19—42no—
791C22×C19—82no—
792C22×C19—84no—
793C22×C19—88no—
794C22×C19—84no—
795C22×C19—84no—
796C22×C19—88no—
797C22×C19D4212yes—
798C22×C19#57512yescomplemented
799C22×C19C23×D411yescharacteristic
800C4×C19—21no—
801C4×C19—21no—
802C4×C19—21no—
803C4×C19—21no—
804C4×C19—21no—
805C4×C19—21no—
806C4×C19—22no—
807C4×C19—21no—
808C4×C19—21no—
809C4×C19—42no—
810C4×C19—41no—
811C4×C19—42no—
812C4×C19—41no—
813C4×C19—41no—
814C4×C19—41no—
815C4×C19D4212yes—
816C4×C19C23×D411yescharacteristic
817C4×C19C2×H(5,𝔽2)11yescharacteristic
818C22×#41C22×C1911yescharacteristic
819C22×#41C22×C1911yescharacteristic, complemented
820C22×#41C22×C1911yescharacteristic, complemented
821C23×D4C22×C1911yescharacteristic, complemented
822#575—28no—
823C2×#137C22×C1911yescharacteristic, complemented
824C2×#137C22×C1911yescharacteristic, complemented
825C2×#137C22×C1911yescharacteristic, complemented
826C2×#137C22×C1912yescomplemented
827C2×AGL(1,ℤ/8)—28no—
828C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
829C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
830C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
831C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
832C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
833C2×AGL(1,ℤ/8)C22×C1912yescomplemented
834C2×AGL(1,ℤ/8)C22×C1912yescomplemented
835C2×AGL(1,ℤ/8)C22×C1911yescharacteristic, complemented
836C2×AGL(1,ℤ/8)C22×C1912yescomplemented
837C2×#135C22×C1912yescomplemented
838C2×#135C22×C1912yescomplemented
839C22×SD16C22×C1912yescomplemented
840C22×D8C22×C1912yescomplemented
841C22×M16C22×C1911yescharacteristic, complemented
842C22×M16C22×C1911yescharacteristic, complemented
843#550C22×C1911yescharacteristic, complemented
844D4×Q8C22×C1911yescharacteristic, complemented
845#548C22×C1911yescharacteristic, complemented
846#548C22×C1911yescharacteristic, complemented
847#547—21no—
848#547C22×C1911yescharacteristic, complemented
849#546—21no—
850#546—21no—
851#546—21no—
852#546—21no—
853#546—21no—
854#546—21no—
855#546C22×C1912yes—
856#546C22×C1912yescomplemented
857#546C22×C1912yescomplemented
858#546C22×C1912yescomplemented
859#546C22×C1911yescharacteristic, complemented
860#546C22×C1911yescharacteristic, complemented
861D42—21no—
862D42C22×C1911yescharacteristic, complemented
863#532—21no—
864#532C22×C1911yescharacteristic, complemented
865C2×#124C22×C1911yescharacteristic, complemented
866#525—21no—
867#525—21no—
868#525C22×C1911yescharacteristic
869#525C22×C1911yescharacteristic, complemented
870C2×#123—21no—
871C2×C22⋊Q8C22×C1911yescharacteristic, complemented
872C2×#121—21no—
873C2×#121C22×C1911yescharacteristic, complemented
874C2×#120—21no—
875C4×#41C22×C1911yescharacteristic, complemented
876C2×C4×D4—21no—
877C2×C4×D4C22×C1911yescharacteristic
878C2×C4×D4C22×C1911yescharacteristic, complemented
879C22×C22⋊C4—21no—
880#497C22×C1912yescomplemented
881#496C22×C1912yescomplemented
882#495C22×C1912yescomplemented
883#495C22×C1912yescomplemented
884#470C22×C1912yescomplemented
885#469C22×C1912yescomplemented
886#468C22×C1912yescomplemented
887#468C22×C1912yescomplemented
888#467C22×C1912yescomplemented
889#466C22×C1912yescomplemented
890#465C22×C1912yescomplemented
891#465C22×C1912yescomplemented
892#464C22×C1912yescomplemented
893#464C22×C1912yescomplemented
894#463C22×C1912yescomplemented
895#463C22×C1912yescomplemented
896#463C22×C1912yescomplemented
897#463C22×C1912yescomplemented
898#461C22×C1912yescomplemented
899#459C22×C1912yescomplemented
900#452C22×C1912yescomplemented
901#452C22×C1912yescomplemented
902#452C22×C1912yescomplemented
903#452C22×C1912yescomplemented
904#451C22×C1912yescomplemented
905#450C22×C1912yescomplemented
906#450C22×C1912yescomplemented
907#450C22×C1912yescomplemented
908#449C22×C1912yescomplemented
909#449C22×C1912yescomplemented
910#449C22×C1912yescomplemented
911#449C22×C1912yescomplemented
912#448C22×C1912yescomplemented
913#447C22×C1912yescomplemented
914#447C22×C1912yescomplemented
915#447C22×C1912yescomplemented
916#442C22×C1912yescomplemented
917#440C22×C1912yescomplemented
918C4×SD16C22×C1912yescomplemented
919C4×D8C22×C1912yescomplemented
920#436C22×C1912yescomplemented
921#435C22×C1912yescomplemented
922#435C22×C1912yescomplemented
923C8×D4C22×C1912yescomplemented
924#428C22×C1911yescharacteristic, complemented
925#423C22×C1911yescharacteristic, complemented
926#419C22×C1911yescharacteristic, complemented
927#418C22×C1911yescharacteristic, complemented
928#418C22×C1911yescharacteristic, complemented
929#417C22×C1911yescharacteristic, complemented
930#417C22×C1911yescharacteristic, complemented
931#417C22×C1911yescharacteristic, complemented
932#407C22×C1911yescharacteristic, complemented
933#407C22×C1911yescharacteristic, complemented
934C4×M16C22×C1911yescharacteristic, complemented
935C2×C19—22no—
936C2×C19—22no—
937C2×C19—41no—
938C2×C19—41no—
939C2×C19—41no—
940C2×C19—44no—
941C2×C19—42no—
942C2×C19—81no—
943C2×C19—81no—
944C2×C19—82no—
945C2×C19C2×D4211yescharacteristic
946C2×C19C2×#57511yescharacteristic
947C2×C19#358511yescharacteristic
948C25—21no—
949C2×#41—21no—
950C2×#41—21no—
951C2×#41—21no—
952C2×#41—21no—
953C2×#41—21no—
954C2×#41—21no—
955C2×#41—24no—
956C2×#41—24no—
957C2×#41—24no—
958C2×#41—42no—
959C2×#41—42no—
960C2×#41—42no—
961C2×#41C23×C1911yescharacteristic
962C2×#41C23×C1911yescharacteristic
963C2×#41C23×C1912yes—
964C2×#41C23×C1912yes—
965C2×#41C23×C1911yescharacteristic
966C2×#41C23×C1911yescharacteristic
967C2×#41C23×C1911yescharacteristic
968C2×#41C23×C1911yescharacteristic, complemented
969C2×#41C23×C1911yescharacteristic, complemented
970C22×Q8C23×C1911yescharacteristic
971C22×Q8C23×C1911yescharacteristic
972C22×Q8C23×C1911yescharacteristic, complemented
973C22×D4—24no—
974C22×D4—21no—
975C22×D4—21no—
976C22×D4—21no—
977C22×D4—21no—
978C22×D4—21no—
979C22×D4—21no—
980C22×D4—21no—
981C22×D4—21no—
982C22×D4—42no—
983C22×D4D4×C1911yescharacteristic
984C22×D4C23×C1911yescharacteristic
985C22×D4C23×C1911yescharacteristic
986C22×D4C23×C1912yes—
987C22×D4C23×C1912yes—
988C22×D4C23×C1911yescharacteristic
989C22×D4C23×C1911yescharacteristic, complemented
990C23×C4—21no—
991C23×C4—21no—
992C23×C4—21no—
993C23×C4—21no—
994C23×C4C23×C1911yescharacteristic
995C23×C4C23×C1911yescharacteristic
996#137—24no—
997#137—28no—
998#137—24no—
999#137—42no—
1000AGL(1,ℤ/8)—24no—
1001AGL(1,ℤ/8)—24no—
1002AGL(1,ℤ/8)—24no—
1003AGL(1,ℤ/8)—28no—
1004AGL(1,ℤ/8)—28no—
1005AGL(1,ℤ/8)—28no—
1006AGL(1,ℤ/8)—24no—
1007AGL(1,ℤ/8)—42no—
1008AGL(1,ℤ/8)D4×C1918yescomplemented
1009#135—28no—
1010#135—28no—
1011C2×Q16C23×C1912yescomplemented
1012C2×Q16C23×C1912yescomplemented
1013C2×Q16C23×C1912yescomplemented
1014C2×SD16—28no—
1015C2×SD16C23×C1912yes—
1016C2×SD16C23×C1912yes—
1017C2×SD16C23×C1912yes—
1018C2×SD16C23×C1912yes—
1019C2×SD16C23×C1912yes—
1020C2×SD16C23×C1912yes—
1021C2×SD16C23×C1912yescomplemented
1022C2×SD16C23×C1912yescomplemented
1023C2×SD16C23×C1912yescomplemented
1024C2×D8—28no—
1025C2×D8C23×C1912yes—
1026C2×D8C23×C1912yes—
1027C2×D8C23×C1912yes—
1028C2×D8C23×C1912yes—
1029C2×D8C23×C1912yes—
1030C2×D8C23×C1912yes—
1031C2×M16—24no—
1032C2×M16—24no—
1033C2×M16C23×C1911yescharacteristic
1034C2×M16C23×C1912yes—
1035C2×M16C23×C1911yescharacteristic
1036C2×M16C23×C1911yescharacteristic
1037C2×M16C23×C1911yescharacteristic
1038C2×M16C23×C1912yescomplemented
1039C22×C8C23×C1912yes—
1040C22×C8C23×C1912yescomplemented
1041C4⋊Q8—21no—
1042C4⋊Q8C23×C1911yescharacteristic, complemented
1043#127—21no—
1044#127C23×C1911yescharacteristic, complemented
1045#124—21no—
1046#124—21no—
1047#124—21no—
1048#124—21no—
1049#124C23×C1912yes—
1050#124C23×C1912yes—
1051#124C23×C1911yescharacteristic, complemented
1052#124C23×C1911yescharacteristic, complemented
1053#123—21no—
1054#123—21no—
1055#123—22no—
1056#123—22no—
1057#123—22no—
1058#123—22no—
1059#123—21no—
1060#123—21no—
1061#123—21no—
1062#123—21no—
1063C22⋊Q8—21no—
1064C22⋊Q8—21no—
1065C22⋊Q8—21no—
1066C22⋊Q8—21no—
1067C22⋊Q8—21no—
1068C22⋊Q8—21no—
1069C22⋊Q8C23×C1912yes—
1070C22⋊Q8C23×C1912yes—
1071C22⋊Q8C23×C1911yescharacteristic
1072C22⋊Q8C23×C1911yescharacteristic
1073C22⋊Q8C23×C1911yescharacteristic, complemented
1074C22⋊Q8C23×C1911yescharacteristic, complemented
1075#121—21no—
1076#121—21no—
1077#121—21no—
1078#121—21no—
1079#121—21no—
1080#121—21no—
1081#121—21no—
1082#121—21no—
1083#121—22no—
1084#121—22no—
1085#121—22no—
1086#121—22no—
1087#121—21no—
1088#121—21no—
1089#121—21no—
1090#121—21no—
1091#121C23×C1912yes—
1092#121C23×C1912yes—
1093#121C23×C1911yescharacteristic
1094#121C23×C1911yescharacteristic
1095#121C23×C1911yescharacteristic, complemented
1096#121C23×C1911yescharacteristic, complemented
1097#120—21no—
1098#120—21no—
1099#120—22no—
1100#120—22no—
1101#120—22no—
1102#120—22no—
1103#120—21no—
1104#120—21no—
1105#120—21no—
1106#120—21no—
1107C4×Q8C23×C1911yescharacteristic, complemented
1108C4×Q8C23×C1911yescharacteristic, complemented
1109C4×D4—21no—
1110C4×D4—21no—
1111C4×D4—21no—
1112C4×D4—21no—
1113C4×D4—21no—
1114C4×D4—21no—
1115C4×D4—21no—
1116C4×D4—21no—
1117C4×D4—21no—
1118C4×D4—21no—
1119C4×D4—21no—
1120C4×D4—21no—
1121C4×D4—21no—
1122C4×D4—21no—
1123C4×D4D4×C1911yescharacteristic
1124C4×D4D4×C1911yescharacteristic
1125C4×D4D4×C1911yescharacteristic
1126C4×D4D4×C1911yescharacteristic
1127C4×D4C23×C1912yes—
1128C4×D4C23×C1912yes—
1129C4×D4C23×C1911yescharacteristic
1130C4×D4C23×C1911yescharacteristic
1131C4×D4C23×C1911yescharacteristic
1132C4×D4C23×C1911yescharacteristic
1133C4×D4C23×C1911yescharacteristic, complemented
1134C4×D4C23×C1911yescharacteristic, complemented
1135#117—21no—
1136#117C23×C1911yescharacteristic
1137C2×C4⋊C4—21no—
1138C2×C4⋊C4—21no—
1139C2×C4⋊C4D4×C1911yescharacteristic
1140C2×C4⋊C4C23×C1911yescharacteristic
1141C2×C22⋊C4—21no—
1142C2×C22⋊C4—21no—
1143C2×C22⋊C4—21no—
1144C2×C22⋊C4—21no—
1145C2×C22⋊C4—21no—
1146C2×C22⋊C4—22no—
1147C2×C22⋊C4—22no—
1148C2×C22⋊C4—22no—
1149C2×C22⋊C4—22no—
1150C2×C22⋊C4—21no—
1151C2×C22⋊C4—21no—
1152C2×C22⋊C4D4×C1911yescharacteristic
1153C2×C22⋊C4D4×C1911yescharacteristic
1154C2×C42—21no—
1155C2×C42C23×C1911yescharacteristic
1156#107C23×C1912yescomplemented
1157#106C23×C1912yescomplemented
1158C4⋊C8C23×C1912yescomplemented
1159C4⋊C8C23×C1912yescomplemented
1160#103C23×C1912yescomplemented
1161#103C23×C1912yescomplemented
1162#103C23×C1912yescomplemented
1163#103C23×C1912yescomplemented
1164#103C23×C1912yescomplemented
1165#102C23×C1912yes—
1166#102C23×C1912yes—
1167#102C23×C1912yes—
1168#102C23×C1912yes—
1169#102C23×C1912yescomplemented
1170#102C23×C1912yescomplemented
1171#102C23×C1912yescomplemented
1172C22⋊C8C23×C1912yes—
1173C22⋊C8C23×C1912yes—
1174C22⋊C8C23×C1912yescomplemented
1175C22⋊C8C23×C1912yescomplemented
1176#97C23×C1912yescomplemented
1177C4×C8C23×C1912yescomplemented
1178C19#6106611yescharacteristic, direct product factor, Sylow
1179C24—21no—
1180C24—21no—
1181C24—22no—
1182C24—22no—
1183C24—21no—
1184C24—21no—
1185C24—44no—
1186C24—44no—
1187C24—82no—
1188C24C2×D4×C1911yescharacteristic
1189C24C2×D4×C1911yescharacteristic
1190#41—22no—
1191#41—22no—
1192#41—22no—
1193#41—24no—
1194#41—22no—
1195#41—22no—
1196#41—24no—
1197#41—22no—
1198#41—22no—
1199#41—22no—
1200#41—22no—
1201#41—44no—
1202#41—44no—
1203#41—41no—
1204#41—41no—
1205#41—42no—
1206#41—42no—
1207#41—41no—
1208#41—41no—
1209#41—44no—
1210#41—44no—
1211#41—44no—
1212#41—44no—
1213#41C2×D4×C1914yes—
1214C2×Q8—21no—
1215C2×Q8—21no—
1216C2×Q8—21no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8C24×C1912yes—
1224C2×Q8C24×C1911yescharacteristic
1225C2×Q8C24×C1911yescharacteristic
1226C2×Q8C24×C1911yescharacteristic
1227C2×D4—21no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—21no—
1233C2×D4—21no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—21no—
1237C2×D4—21no—
1238C2×D4—21no—
1239C2×D4—21no—
1240C2×D4—21no—
1241C2×D4—21no—
1242C2×D4—21no—
1243C2×D4—21no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—21no—
1247C2×D4—22no—
1248C2×D4—21no—
1249C2×D4—21no—
1250C2×D4—21no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—21no—
1254C2×D4—21no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—82no—
1270C2×D4C2×D4×C1911yescharacteristic
1271C2×D4C2×D4×C1911yescharacteristic
1272C2×D4C2×D4×C1911yescharacteristic
1273C2×D4C2×D4×C1911yescharacteristic
1274C2×D4C2×D4×C1914yescomplemented
1275C2×D4C24×C1912yes—
1276C2×D4C24×C1911yescharacteristic
1277C2×D4C24×C1911yescharacteristic
1278C2×D4C24×C1912yes—
1279C2×D4C24×C1911yescharacteristic
1280C22×C4—21no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—82no—
1305C22×C4C2×D4×C1911yescharacteristic
1306C22×C4C2×D4×C1911yescharacteristic
1307C22×C4C2×D4×C1911yescharacteristic
1308C22×C4C2×D4×C1911yescharacteristic
1309C22×C4C2×D4×C1911yescharacteristic
1310C22×C4C2×D4×C1911yescharacteristic
1311C22×C4C2×D4×C1911yescharacteristic
1312C22×C4C2×D4×C1911yescharacteristic
1313C22×C4C24×C1911yescharacteristic
1314C22×C4C24×C1911yescharacteristic
1315C22×C4C24×C1911yescharacteristic
1316C22×C4C24×C1911yescharacteristic
1317C22×C4C24×C1911yescharacteristic
1318Q16—24no—
1319Q16—24no—
1320Q16—42no—
1321SD16—24no—
1322SD16—24no—
1323SD16—24no—
1324SD16—24no—
1325SD16—24no—
1326SD16—24no—
1327SD16—42no—
1328SD16—42no—
1329SD16C2×D4×C1918yescomplemented
1330D8—24no—
1331D8—24no—
1332D8—24no—
1333D8—24no—
1334D8—42no—
1335D8C2×D4×C1918yescomplemented
1336M16—22no—
1337M16—22no—
1338M16—22no—
1339M16—24no—
1340M16—24no—
1341M16C2×D4×C1914yescomplemented
1342C2×C8—24no—
1343C2×C8—24no—
1344C2×C8C24×C1912yes—
1345C2×C8C24×C1912yes—
1346C2×C8C24×C1912yes—
1347C2×C8C24×C1912yes—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4C2×D4×C1911yescharacteristic
1360C4⋊C4C2×D4×C1911yescharacteristic
1361C4⋊C4C2×D4×C1911yescharacteristic
1362C4⋊C4C2×D4×C1911yescharacteristic
1363C4⋊C4C24×C1911yescharacteristic
1364C4⋊C4C24×C1911yescharacteristic
1365C4⋊C4C24×C1912yes—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—21no—
1369C22⋊C4—21no—
1370C22⋊C4—21no—
1371C22⋊C4—21no—
1372C22⋊C4—21no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—21no—
1378C22⋊C4—21no—
1379C22⋊C4—21no—
1380C22⋊C4—21no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—21no—
1386C22⋊C4—21no—
1387C22⋊C4—21no—
1388C22⋊C4—21no—
1389C22⋊C4—21no—
1390C22⋊C4—21no—
1391C22⋊C4C2×D4×C1911yescharacteristic
1392C22⋊C4C2×D4×C1911yescharacteristic
1393C22⋊C4C2×D4×C1911yescharacteristic
1394C22⋊C4C2×D4×C1911yescharacteristic
1395C22⋊C4C2×D4×C1911yescharacteristic
1396C22⋊C4C2×D4×C1911yescharacteristic
1397C22⋊C4C2×D4×C1911yescharacteristic
1398C22⋊C4C2×D4×C1911yescharacteristic
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42C2×D4×C1911yescharacteristic
1403C42C2×D4×C1911yescharacteristic
1404C42C24×C1911yescharacteristic
1405C42C24×C1911yescharacteristic
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—21no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—42no—
1419C23—42no—
1420C23—44no—
1421C23—44no—
1422C23—42no—
1423C23—42no—
1424C23—42no—
1425C23—42no—
1426C23—42no—
1427C23—44no—
1428C23—42no—
1429C23—42no—
1430C23—44no—
1431C23—82no—
1432C23—82no—
1433C23—81no—
1434C23—81no—
1435C23—816no—
1436C23C22×D4×C1911yescharacteristic
1437C23C22×D4×C1911yescharacteristic
1438C23C22×D4×C1911yescharacteristic
1439C23C22×D4×C1911yescharacteristic
1440C23C22×D4×C1911yescharacteristic
1441Q8—21no—
1442Q8—21no—
1443Q8—21no—
1444Q8—22no—
1445Q8—21no—
1446Q8—22no—
1447Q8—21no—
1448Q8—42no—
1449Q8—42no—
1450Q8—42no—
1451Q8C22×D4×C1912yes—
1452D4—24no—
1453D4—22no—
1454D4—22no—
1455D4—24no—
1456D4—21no—
1457D4—22no—
1458D4—21no—
1459D4—22no—
1460D4—21no—
1461D4—21no—
1462D4—22no—
1463D4—21no—
1464D4—41no—
1465D4—41no—
1466D4—44no—
1467D4—44no—
1468D4—42no—
1469D4—42no—
1470D4—42no—
1471D4—42no—
1472D4—42no—
1473D4—44no—
1474D4—42no—
1475D4—44no—
1476D4—42no—
1477D4—42no—
1478D4—42no—
1479D4—42no—
1480D4—42no—
1481D4—42no—
1482D4—81no—
1483D4—82no—
1484D4—82no—
1485D4—81no—
1486D4—81no—
1487D4C22×D4×C1912yes—
1488D4C22×D4×C1914yes—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—42no—
1517C2×C4—42no—
1518C2×C4—44no—
1519C2×C4—42no—
1520C2×C4—44no—
1521C2×C4—42no—
1522C2×C4—42no—
1523C2×C4—42no—
1524C2×C4—42no—
1525C2×C4—42no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—81no—
1529C2×C4C22×D4×C1911yescharacteristic
1530C2×C4C22×D4×C1911yescharacteristic
1531C2×C4C22×D4×C1911yescharacteristic
1532C2×C4C22×D4×C1911yescharacteristic
1533C2×C4C22×D4×C1911yescharacteristic
1534C2×C4C22×D4×C1911yescharacteristic
1535C2×C4C22×D4×C1911yescharacteristic
1536C2×C4C22×D4×C1911yescharacteristic
1537C2×C4C22×D4×C1911yescharacteristic
1538C2×C4C22×D4×C1912yes—
1539C2×C4C19×H(5,𝔽2)12yes—
1540C2×C4C25×C1911yescharacteristic
1541C8—22no—
1542C8—22no—
1543C8—22no—
1544C8C22×D4×C1914yes—
1545C22—21no—
1546C22—21no—
1547C22—21no—
1548C22—21no—
1549C22—21no—
1550C22—21no—
1551C22—21no—
1552C22—22no—
1553C22—24no—
1554C22—21no—
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—44no—
1561C22—48no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—41no—
1574C22—41no—
1575C22—82no—
1576C22—88no—
1577C22—84no—
1578C22—84no—
1579C22—88no—
1580C22—84no—
1581C22D42×C1912yes—
1582C22C19×#57512yescomplemented
1583C22C23×D4×C1911yescharacteristic
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—22no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—42no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—42no—
1598C4—41no—
1599C4D42×C1912yes—
1600C4C23×D4×C1911yescharacteristic
1601C4C2×C19×H(5,𝔽2)11yescharacteristic
1602C2—22no—
1603C2—22no—
1604C2—41no—
1605C2—41no—
1606C2—41no—
1607C2—44no—
1608C2—42no—
1609C2—82no—
1610C2—81no—
1611C2—81no—
1612C2C2×D42×C1911yescharacteristic
1613C2C2×C19×#57511yescharacteristic
1614C2C19×#358511yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C2×C4×D4×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C19×#575C2semidirect
2. C22×C19×AGL(1,ℤ/8)C2semidirect
3. D4×#41×C19C2semidirect
4. C2×C19×#546C2semidirect
5. C19×#3282C2semidirect
6. C19×#3280C2semidirect
7. C19×#3275C2semidirect
8. C19×#3273C2semidirect
9. C19×#3268C2semidirect
10. C19×#3267C2semidirect
11. C19×#3266C2semidirect
12. C19×#3264C2semidirect
13. C19×#3153C2semidirect
14. C19×#3056C2semidirect
15. C19×#3055C2semidirect
16. C19×#3040C2semidirect
17. C19×#3036C2semidirect
18. C19×#3007C2semidirect
19. C19×#3006C2semidirect
20. C19×#3005C2semidirect
21. C19×#3003C2semidirect
22. C4×C19×AGL(1,ℤ/8)C2semidirect
23. D4×M16×C19C2semidirect
25. C22×#41×C19C22semidirect
26. C22×#41×C19C22semidirect
27. C23×D4×C19C22semidirect
29. C2×C19×#137C22semidirect
30. C2×C19×#137C22semidirect
31. C2×C19×#137C22semidirect
32. C2×C19×#137C22semidirect
36. C2×C19×AGL(1,ℤ/8)C22semidirect
37. C2×C19×AGL(1,ℤ/8)C22semidirect
38. C2×C19×AGL(1,ℤ/8)C22semidirect
39. C2×C19×AGL(1,ℤ/8)C22semidirect
40. C2×C19×AGL(1,ℤ/8)C22semidirect
41. C2×C19×AGL(1,ℤ/8)C22semidirect
42. C2×C19×AGL(1,ℤ/8)C22semidirect
43. C2×C19×#135C22semidirect
44. C2×C19×#135C22semidirect
45. C22×SD16×C19C22semidirect
46. C22×D8×C19C22semidirect
47. C22×M16×C19C22semidirect
48. C22×M16×C19C22semidirect
49. C19×#550C22semidirect
50. D4×Q8×C19C22semidirect
51. C19×#548C22semidirect
52. C19×#548C22semidirect
54. C19×#547C22semidirect
62. C19×#546C22semidirect
63. C19×#546C22semidirect
64. C19×#546C22semidirect
65. C19×#546C22semidirect
66. C19×#546C22semidirect
68. D42×C19C22semidirect
70. C19×#532C22semidirect
71. C2×C19×#124C22semidirect
75. C19×#525C22semidirect
77. C2×C19×C22⋊Q8C22semidirect
79. C2×C19×#121C22semidirect
81. C4×#41×C19C22semidirect
84. C2×C4×D4×C19C22semidirect
86. C19×#497C22semidirect
87. C19×#496C22semidirect
88. C19×#495C22semidirect
89. C19×#495C22semidirect
90. C19×#470C22semidirect
91. C19×#469C22semidirect
92. C19×#468C22semidirect
93. C19×#468C22semidirect
94. C19×#467C22semidirect
95. C19×#466C22semidirect
96. C19×#465C22semidirect
97. C19×#465C22semidirect
98. C19×#464C22semidirect
99. C19×#464C22semidirect
100. C19×#463C22semidirect
101. C19×#463C22semidirect
102. C19×#463C22semidirect
103. C19×#463C22semidirect
104. C19×#461C22semidirect
105. C19×#459C22semidirect
106. C19×#452C22semidirect
107. C19×#452C22semidirect
108. C19×#452C22semidirect
109. C19×#452C22semidirect
110. C19×#451C22semidirect
111. C19×#450C22semidirect
112. C19×#450C22semidirect
113. C19×#450C22semidirect
114. C19×#449C22semidirect
115. C19×#449C22semidirect
116. C19×#449C22semidirect
117. C19×#449C22semidirect
118. C19×#448C22semidirect
119. C19×#447C22semidirect
120. C19×#447C22semidirect
121. C19×#447C22semidirect
122. C19×#442C22semidirect
123. C19×#440C22semidirect
124. C4×SD16×C19C22semidirect
125. C4×D8×C19C22semidirect
126. C19×#436C22semidirect
127. C19×#435C22semidirect
128. C19×#435C22semidirect
129. C8×D4×C19C22semidirect
130. C19×#428C22semidirect
131. C19×#423C22semidirect
132. C19×#419C22semidirect
133. C19×#418C22semidirect
134. C19×#418C22semidirect
135. C19×#417C22semidirect
136. C19×#417C22semidirect
137. C19×#417C22semidirect
138. C19×#407C22semidirect
139. C19×#407C22semidirect
140. C4×M16×C19C22semidirect
161. C2×#41×C19C23semidirect
162. C2×#41×C19C23semidirect
165. C22×Q8×C19C23semidirect
182. C22×D4×C19C23semidirect
201. C19×AGL(1,ℤ/8)D4semidirect
204. C2×Q16×C19C23semidirect
205. C2×Q16×C19C23semidirect
206. C2×Q16×C19C23semidirect
214. C2×SD16×C19C23semidirect
215. C2×SD16×C19C23semidirect
216. C2×SD16×C19C23semidirect
231. C2×M16×C19C23semidirect
233. C22×C8×C19C23semidirect
235. C19×C4⋊Q8C23semidirect
237. C19×#127C23semidirect
244. C19×#124C23semidirect
245. C19×#124C23semidirect
266. C19×C22⋊Q8C23semidirect
267. C19×C22⋊Q8C23semidirect
288. C19×#121C23semidirect
289. C19×#121C23semidirect
300. C4×Q8×C19C23semidirect
301. C4×Q8×C19C23semidirect
326. C4×D4×C19C23semidirect
327. C4×D4×C19C23semidirect
349. C19×#107C23semidirect
350. C19×#106C23semidirect
351. C19×C4⋊C8C23semidirect
352. C19×C4⋊C8C23semidirect
353. C19×#103C23semidirect
354. C19×#103C23semidirect
355. C19×#103C23semidirect
356. C19×#103C23semidirect
357. C19×#103C23semidirect
362. C19×#102C23semidirect
363. C19×#102C23semidirect
364. C19×#102C23semidirect
367. C19×C22⋊C8C23semidirect
368. C19×C22⋊C8C23semidirect
369. C19×#97C23semidirect
370. C4×C8×C19C23semidirect
466. C2×D4×C19C2×D4semidirect
521. SD16×C19C2×D4semidirect
527. D8×C19C2×D4semidirect
533. M16×C19C2×D4semidirect
598. #61066C19direct (N × H)
738. C2×#575C2×C19semidirect
739. C22×AGL(1,ℤ/8)C2×C19semidirect
740. D4×#41C2×C19semidirect
741. C2×#546C2×C19semidirect
742. #3282C2×C19semidirect
743. #3280C2×C19semidirect
744. #3275C2×C19semidirect
745. #3273C2×C19semidirect
746. #3268C2×C19semidirect
747. #3267C2×C19semidirect
748. #3266C2×C19semidirect
749. #3264C2×C19semidirect
750. #3153C2×C19semidirect
751. #3056C2×C19semidirect
752. #3055C2×C19semidirect
753. #3040C2×C19semidirect
754. #3036C2×C19semidirect
755. #3007C2×C19semidirect
756. #3006C2×C19semidirect
757. #3005C2×C19semidirect
758. #3003C2×C19semidirect
759. C4×AGL(1,ℤ/8)C2×C19semidirect
760. D4×M16C2×C19semidirect
798. C22×C19#575semidirect
819. C22×#41C22×C19semidirect
820. C22×#41C22×C19semidirect
821. C23×D4C22×C19semidirect
823. C2×#137C22×C19semidirect
824. C2×#137C22×C19semidirect
825. C2×#137C22×C19semidirect
826. C2×#137C22×C19semidirect
830. C2×AGL(1,ℤ/8)C22×C19semidirect
831. C2×AGL(1,ℤ/8)C22×C19semidirect
832. C2×AGL(1,ℤ/8)C22×C19semidirect
833. C2×AGL(1,ℤ/8)C22×C19semidirect
834. C2×AGL(1,ℤ/8)C22×C19semidirect
835. C2×AGL(1,ℤ/8)C22×C19semidirect
836. C2×AGL(1,ℤ/8)C22×C19semidirect
837. C2×#135C22×C19semidirect
838. C2×#135C22×C19semidirect
839. C22×SD16C22×C19semidirect
840. C22×D8C22×C19semidirect
841. C22×M16C22×C19semidirect
842. C22×M16C22×C19semidirect
843. #550C22×C19semidirect
844. D4×Q8C22×C19semidirect
845. #548C22×C19semidirect
846. #548C22×C19semidirect
848. #547C22×C19semidirect
856. #546C22×C19semidirect
857. #546C22×C19semidirect
858. #546C22×C19semidirect
859. #546C22×C19semidirect
860. #546C22×C19semidirect
862. D42C22×C19semidirect
864. #532C22×C19semidirect
865. C2×#124C22×C19semidirect
869. #525C22×C19semidirect
871. C2×C22⋊Q8C22×C19semidirect
873. C2×#121C22×C19semidirect
875. C4×#41C22×C19semidirect
878. C2×C4×D4C22×C19semidirect
880. #497C22×C19semidirect
881. #496C22×C19semidirect
882. #495C22×C19semidirect
883. #495C22×C19semidirect
884. #470C22×C19semidirect
885. #469C22×C19semidirect
886. #468C22×C19semidirect
887. #468C22×C19semidirect
888. #467C22×C19semidirect
889. #466C22×C19semidirect
890. #465C22×C19semidirect
891. #465C22×C19semidirect
892. #464C22×C19semidirect
893. #464C22×C19semidirect
894. #463C22×C19semidirect
895. #463C22×C19semidirect
896. #463C22×C19semidirect
897. #463C22×C19semidirect
898. #461C22×C19semidirect
899. #459C22×C19semidirect
900. #452C22×C19semidirect
901. #452C22×C19semidirect
902. #452C22×C19semidirect
903. #452C22×C19semidirect
904. #451C22×C19semidirect
905. #450C22×C19semidirect
906. #450C22×C19semidirect
907. #450C22×C19semidirect
908. #449C22×C19semidirect
909. #449C22×C19semidirect
910. #449C22×C19semidirect
911. #449C22×C19semidirect
912. #448C22×C19semidirect
913. #447C22×C19semidirect
914. #447C22×C19semidirect
915. #447C22×C19semidirect
916. #442C22×C19semidirect
917. #440C22×C19semidirect
918. C4×SD16C22×C19semidirect
919. C4×D8C22×C19semidirect
920. #436C22×C19semidirect
921. #435C22×C19semidirect
922. #435C22×C19semidirect
923. C8×D4C22×C19semidirect
924. #428C22×C19semidirect
925. #423C22×C19semidirect
926. #419C22×C19semidirect
927. #418C22×C19semidirect
928. #418C22×C19semidirect
929. #417C22×C19semidirect
930. #417C22×C19semidirect
931. #417C22×C19semidirect
932. #407C22×C19semidirect
933. #407C22×C19semidirect
934. C4×M16C22×C19semidirect
968. C2×#41C23×C19semidirect
969. C2×#41C23×C19semidirect
972. C22×Q8C23×C19semidirect
989. C22×D4C23×C19semidirect
1008. AGL(1,ℤ/8)D4×C19semidirect
1011. C2×Q16C23×C19semidirect
1012. C2×Q16C23×C19semidirect
1013. C2×Q16C23×C19semidirect
1021. C2×SD16C23×C19semidirect
1022. C2×SD16C23×C19semidirect
1023. C2×SD16C23×C19semidirect
1038. C2×M16C23×C19semidirect
1040. C22×C8C23×C19semidirect
1042. C4⋊Q8C23×C19semidirect
1044. #127C23×C19semidirect
1051. #124C23×C19semidirect
1052. #124C23×C19semidirect
1073. C22⋊Q8C23×C19semidirect
1074. C22⋊Q8C23×C19semidirect
1095. #121C23×C19semidirect
1096. #121C23×C19semidirect
1107. C4×Q8C23×C19semidirect
1108. C4×Q8C23×C19semidirect
1133. C4×D4C23×C19semidirect
1134. C4×D4C23×C19semidirect
1156. #107C23×C19semidirect
1157. #106C23×C19semidirect
1158. C4⋊C8C23×C19semidirect
1159. C4⋊C8C23×C19semidirect
1160. #103C23×C19semidirect
1161. #103C23×C19semidirect
1162. #103C23×C19semidirect
1163. #103C23×C19semidirect
1164. #103C23×C19semidirect
1169. #102C23×C19semidirect
1170. #102C23×C19semidirect
1171. #102C23×C19semidirect
1174. C22⋊C8C23×C19semidirect
1175. C22⋊C8C23×C19semidirect
1176. #97C23×C19semidirect
1177. C4×C8C23×C19semidirect
1178. C19#61066direct (N × H)
1274. C2×D4C2×D4×C19semidirect
1329. SD16C2×D4×C19semidirect
1335. D8C2×D4×C19semidirect
1341. M16C2×D4×C19semidirect
1582. C22C19×#575semidirect

Maximal subgroups

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

subgroupindex
C2×C19×#5752
C22×C19×AGL(1,ℤ/8)2
D4×#41×C192
C2×C19×#5462
C19×#32822
C19×#32802
C19×#32752
C19×#32732
C19×#32682
C19×#32672
C19×#32662
C19×#32642
C19×#31532
C19×#30562
C19×#30552
C19×#30402
C19×#30362
C19×#30072
C19×#30062
C19×#30052
C19×#30032
C4×C19×AGL(1,ℤ/8)2
D4×M16×C192
#6106619