Finite Group Databasebeta

← C19×#61977 #18067936

Subgroups — C19×#61977 #18067936

Order 4864.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3508C211yesmaximal, characteristic, complemented
2C19×#3481C211yesmaximal, characteristic, complemented
3C19×#3403C212yesmaximal, complemented
4C19×#3370C212yesmaximal, complemented
5C19×#3314C212yesmaximal, complemented
6C19×#3309C212yesmaximal, complemented
7C19×#3297C212yesmaximal, complemented
8C19×#3280C212yesmaximal, complemented
9C19×#3268C212yesmaximal, complemented
10C19×#3264C212yesmaximal, complemented
11C19×#3251C211yesmaximal, characteristic, complemented
12C19×#3248C211yesmaximal, characteristic, complemented
13C19×#3245C211yesmaximal, characteristic, complemented
14C19×#3217C211yesmaximal, characteristic, complemented
15C19×#3214C211yesmaximal, characteristic, complemented
16C19×#3212C211yesmaximal, characteristic, complemented
17C19×#3115C211yesmaximal, characteristic, complemented
18C19×#3110C211yesmaximal, characteristic, complemented
19C19×#3100C211yesmaximal, characteristic, complemented
20C19×#3036C211yesmaximal, characteristic, complemented
21C19×#3035C211yesmaximal, characteristic, complemented
22C2×C19×#459C211yesmaximal, characteristic, complemented
23C19×#2990C211yesmaximal, characteristic, complemented
24C2×C19×AGL(1,ℤ/8)C2212yescomplemented
25C2×C19×#135C2212yescomplemented
26C22×D8×C19C2212yes—
27C19×#559—21no—
28C19×#559C2211yescharacteristic, complemented
29C19×#559C2212yescomplemented
30C19×#554C2211yescharacteristic
31C19×#554C2211yescharacteristic, complemented
32C19×#553—21no—
33C19×#553C2211yescharacteristic
34C19×#553C2211yescharacteristic, complemented
35C19×#551—21no—
36C19×#551—21no—
37C19×#550—21no—
38C19×#550C2212yescomplemented
39C19×#546—21no—
40C19×#546—21no—
41C19×#546—21no—
42C19×#546C2211yescharacteristic
43C19×#546C2212yes—
44C19×#546C2211yescharacteristic, complemented
45C19×#546C2212yescomplemented
46D42×C19C2211yescharacteristic
47C19×#540—21no—
48C19×#540—21no—
49C19×#535—21no—
50C19×#533C2211yescharacteristic, complemented
51C19×#532C2211yescharacteristic, complemented
52C19×#532C2211yescharacteristic, complemented
53C19×#532C2211yescharacteristic, complemented
54C19×#532C2211yescharacteristic, complemented
55C19×#532C2211yescharacteristic, complemented
56C2×C19×#127C2211yescharacteristic, complemented
57C19×#529—21no—
58C19×#529C2211yescharacteristic
59C19×#529C2211yescharacteristic, complemented
60C19×#525—21no—
61C19×#525—21no—
62C19×#518—21no—
63C4×#41×C19C2211yescharacteristic
64C4×#41×C19C2211yescharacteristic, complemented
65C2×C4×D4×C19—21no—
66C2×C4×D4×C19C2211yescharacteristic
67C2×C4×D4×C19C2211yescharacteristic, complemented
68C19×#496C2212yescomplemented
69C19×#496C2212yescomplemented
70C19×#495C2212yescomplemented
71C19×#490C2212yescomplemented
72C19×#489C2212yescomplemented
73C19×#488C2212yescomplemented
74C19×#484C2212yescomplemented
75C19×#482C2212yescomplemented
76C19×#480C2212yescomplemented
77C19×#479C2212yescomplemented
78C19×#478C2212yescomplemented
79C19×#475C2211yescharacteristic, complemented
80C19×#474C2211yescharacteristic, complemented
81C19×#474C2211yescharacteristic, complemented
82C19×#474C2212yescomplemented
83C19×#474C2211yescharacteristic, complemented
84C19×#469C2212yescomplemented
85C19×#468C2212yescomplemented
86C19×#467C2212yescomplemented
87C19×#466C2212yescomplemented
88C19×#466C2212yescomplemented
89C19×#465C2212yes—
90C19×#464C2212yescomplemented
91C19×#464C2212yescomplemented
92C19×#463C2212yescomplemented
93C19×#463C2212yescomplemented
94C19×#463C2212yescomplemented
95C19×#463C2212yescomplemented
96C19×#462C2211yescharacteristic, complemented
97C19×#461C2211yescharacteristic, complemented
98C19×#461C2211yescharacteristic, complemented
99C19×#461C2211yescharacteristic, complemented
100C19×#460C2211yescharacteristic, complemented
101C19×#460C2211yescharacteristic, complemented
102C19×#459C2212yes—
103C19×#459C2211yescharacteristic
104C19×#459C2211yescharacteristic
105C19×#459C2211yescharacteristic, complemented
106C19×#459C2211yescharacteristic, complemented
107C19×#459C2211yescharacteristic, complemented
108C19×#459C2211yescharacteristic, complemented
109C19×#459C2212yescomplemented
110C19×#459C2212yescomplemented
111C19×#452C2212yescomplemented
112C19×#450C2212yes—
113C19×#450C2212yescomplemented
114C19×#449C2212yescomplemented
115C19×#449C2212yescomplemented
116C19×#449C2212yescomplemented
117C19×#449C2212yescomplemented
118C19×#447C2212yes—
119C19×#447C2212yescomplemented
120C19×#446C2212yescomplemented
121C19×#442C2212yescomplemented
122C19×#440C2212yescomplemented
123C19×#440C2212yescomplemented
124C19×#440C2212yescomplemented
125C4×D8×C19C2212yescomplemented
126C4×D8×C19C2212yescomplemented
127C19×#435C2212yes—
128C19×#435C2212yescomplemented
129C8×D4×C19C2212yescomplemented
130C19×#432C2211yescharacteristic, complemented
131C19×#432C2211yescharacteristic, complemented
132C19×#431C2211yescharacteristic, complemented
133C19×#423C2211yescharacteristic, complemented
134C2×C19×C4⋊C8C2211yescharacteristic, complemented
135C2×C19×C4⋊C8C2211yescharacteristic, complemented
136C19×#417C2212yescomplemented
137C19×#416C2212yescomplemented
138C2×C19×#102C2212yescomplemented
139C2×#41×C19—21no—
140C2×#41×C19—21no—
141C2×#41×C19—21no—
142C2×#41×C19D411yescharacteristic
143C2×#41×C19C2311yescharacteristic
144C2×#41×C19C2312yes—
145C2×#41×C19C2312yes—
146C22×D4×C19—21no—
147C22×D4×C19—21no—
148C22×D4×C19—21no—
149C22×D4×C19C2311yescharacteristic
150C22×D4×C19C2311yescharacteristic
151C22×D4×C19C2312yes—
152C23×C4×C19—21no—
153C23×C4×C19—21no—
154C19×AGL(1,ℤ/8)—44no—
155C19×#135—44no—
156C2×Q16×C19C2312yes—
157C2×SD16×C19C2312yes—
158C2×SD16×C19C2312yes—
159C2×SD16×C19C2312yes—
160C2×SD16×C19C2312yes—
161C2×SD16×C19C2312yes—
162C2×D8×C19—44no—
163C2×D8×C19C2312yes—
164C2×D8×C19C2312yes—
165C2×D8×C19C2312yes—
166C2×D8×C19C2312yes—
167C2×D8×C19C2312yes—
168C2×D8×C19C2312yes—
169C2×M16×C19C2312yes—
170C22×C8×C19C2312yes—
171C22×C8×C19C2312yes—
172C19×C4⋊Q8C2311yescharacteristic
173C19×C4⋊Q8C2311yescharacteristic
174C19×C4⋊Q8C2311yescharacteristic
175C19×#127—22no—
176C19×#127—21no—
177C19×#127—21no—
178C19×#127C2311yescharacteristic
179C19×#127C2311yescharacteristic
180C19×#127C2312yes—
181C19×#127C2311yescharacteristic
182C19×#126—21no—
183C19×#126—21no—
184C19×#126—21no—
185C19×#126—21no—
186C19×#125—21no—
187C19×#125—21no—
188C19×#125C2311yescharacteristic
189C19×#125C2311yescharacteristic
190C19×#124—21no—
191C19×#124—22no—
192C19×#124—21no—
193C19×#124—21no—
194C19×#124—21no—
195C19×#124C2312yes—
196C19×#124C2311yescharacteristic
197C19×#124C2312yes—
198C19×#124C2311yescharacteristic
199C19×#123—21no—
200C19×#123—21no—
201C19×#123—21no—
202C19×#123—21no—
203C19×#123—21no—
204C19×#123—21no—
205C19×#123—22no—
206C19×#123—22no—
207C19×#123—22no—
208C19×#123—22no—
209C19×#123—21no—
210C19×#123—21no—
211C19×C22⋊Q8—21no—
212C19×C22⋊Q8—21no—
213C19×C22⋊Q8—21no—
214C19×C22⋊Q8—21no—
215C19×C22⋊Q8—21no—
216C19×C22⋊Q8—21no—
217C19×C22⋊Q8C2312yes—
218C19×C22⋊Q8C2311yescharacteristic
219C19×C22⋊Q8C2311yescharacteristic
220C19×#121—21no—
221C19×#121—21no—
222C19×#121—21no—
223C19×#121—21no—
224C19×#121—21no—
225C19×#121—21no—
226C19×#121—21no—
227C19×#121—21no—
228C19×#121—21no—
229C19×#121—21no—
230C19×#121—21no—
231C19×#121—21no—
232C19×#121—22no—
233C19×#121—22no—
234C19×#121—22no—
235C19×#121—22no—
236C19×#121C2311yescharacteristic
237C19×#121C2312yes—
238C19×#121C2311yescharacteristic
239C19×#121C2311yescharacteristic
240C19×#121C2311yescharacteristic
241C19×#121C2312yes—
242C19×#120—21no—
243C19×#120—21no—
244C19×#120—22no—
245C19×#120—22no—
246C19×#120—21no—
247C19×#120—21no—
248C4×Q8×C19—21no—
249C4×Q8×C19D411yescharacteristic
250C4×Q8×C19C2311yescharacteristic
251C4×Q8×C19C2312yes—
252C4×Q8×C19C2311yescharacteristic
253C4×Q8×C19C2311yescharacteristic
254C4×D4×C19—21no—
255C4×D4×C19—21no—
256C4×D4×C19—21no—
257C4×D4×C19—21no—
258C4×D4×C19—21no—
259C4×D4×C19—21no—
260C4×D4×C19—22no—
261C4×D4×C19—22no—
262C4×D4×C19—21no—
263C4×D4×C19—21no—
264C4×D4×C19—21no—
265C4×D4×C19—21no—
266C4×D4×C19—21no—
267C4×D4×C19—21no—
268C4×D4×C19—21no—
269C4×D4×C19—21no—
270C4×D4×C19—21no—
271C4×D4×C19—21no—
272C4×D4×C19—21no—
273C4×D4×C19—21no—
274C4×D4×C19—21no—
275C4×D4×C19D411yescharacteristic
276C4×D4×C19D411yescharacteristic
277C4×D4×C19D411yescharacteristic
278C4×D4×C19C2311yescharacteristic
279C4×D4×C19C2311yescharacteristic
280C4×D4×C19C2312yes—
281C4×D4×C19C2311yescharacteristic
282C4×D4×C19C2311yescharacteristic
283C4×D4×C19C2312yes—
284C4×D4×C19C2311yescharacteristic
285C4×D4×C19C2311yescharacteristic
286C4×D4×C19C2311yescharacteristic
287C4×D4×C19C2311yescharacteristic
288C4×D4×C19C2311yescharacteristic
289C4×D4×C19C2311yescharacteristic
290C4×D4×C19C2311yescharacteristic
291C19×#117—21no—
292C19×#117—21no—
293C19×#117—21no—
294C19×#117—21no—
295C19×#117D411yescharacteristic
296C19×#117D411yescharacteristic
297C19×#117D411yescharacteristic
298C19×#117C2311yescharacteristic
299C2×C4⋊C4×C19—21no—
300C2×C4⋊C4×C19C2311yescharacteristic
301C2×C4⋊C4×C19C2311yescharacteristic
302C2×C22⋊C4×C19—21no—
303C2×C22⋊C4×C19—21no—
304C2×C22⋊C4×C19—21no—
305C2×C22⋊C4×C19—21no—
306C2×C22⋊C4×C19—22no—
307C2×C22⋊C4×C19—22no—
308C2×C42×C19—21no—
309C2×C42×C19C2311yescharacteristic
310C2×C42×C19C2311yescharacteristic
311C2×C42×C19C2311yescharacteristic
312C19×#107C2312yes—
313C19×#107C2312yes—
314C19×#107C2312yes—
315C19×#106C2312yes—
316C19×C4⋊C8C2311yescharacteristic
317C19×C4⋊C8C2311yescharacteristic
318C19×C4⋊C8C2311yescharacteristic
319C19×C4⋊C8C2312yes—
320C19×C4⋊C8C2312yes—
321C19×C4⋊C8C2312yes—
322C19×C4⋊C8C2311yescharacteristic
323C19×#103C2312yes—
324C19×#103C2312yes—
325C19×#103C2312yes—
326C19×#103C2312yes—
327C19×#103C2312yes—
328C19×#102C2312yes—
329C19×#102C2312yes—
330C19×#102C2312yes—
331C19×#102C2312yes—
332C19×#102C2312yes—
333C19×#102C2312yes—
334C19×#102C2312yes—
335C19×#102C2312yes—
336C19×#102C2312yes—
337C19×#102C2312yes—
338C19×#102C2312yes—
339C19×C22⋊C8C2312yes—
340C19×C22⋊C8C2312yes—
341C19×C22⋊C8C2312yes—
342C19×#97C2312yes—
343C19×#97C2312yes—
344C4×C8×C19C2312yes—
345C24×C19—21no—
346C24×C19—21no—
347C24×C19—22no—
348#41×C19—22no—
349#41×C19—42no—
350#41×C19—41no—
351#41×C19—42no—
352#41×C19—42no—
353#41×C19—42no—
354#41×C19—42no—
355#41×C19—82no—
356#41×C19—82no—
357#41×C19—82no—
358C2×Q8×C19—21no—
359C2×Q8×C19—21no—
360C2×Q8×C19C2×D411yescharacteristic
361C2×Q8×C19C2411yescharacteristic
362C2×Q8×C19C2412yes—
363C2×D4×C19—22no—
364C2×D4×C19—22no—
365C2×D4×C19—21no—
366C2×D4×C19—21no—
367C2×D4×C19—21no—
368C2×D4×C19—22no—
369C2×D4×C19—22no—
370C2×D4×C19—21no—
371C2×D4×C19—21no—
372C2×D4×C19—22no—
373C2×D4×C19—22no—
374C2×D4×C19—21no—
375C2×D4×C19—21no—
376C2×D4×C19—21no—
377C2×D4×C19—21no—
378C2×D4×C19—21no—
379C2×D4×C19—22no—
380C2×D4×C19—21no—
381C2×D4×C19—21no—
382C2×D4×C19—21no—
383C2×D4×C19—22no—
384C2×D4×C19—22no—
385C2×D4×C19—41no—
386C2×D4×C19—41no—
387C2×D4×C19—42no—
388C2×D4×C19—42no—
389C2×D4×C19—44no—
390C2×D4×C19—44no—
391C2×D4×C19—82no—
392C2×D4×C19C2×D411yescharacteristic
393C2×D4×C19C2×D411yescharacteristic
394C2×D4×C19C2×D411yescharacteristic
395C2×D4×C19C2411yescharacteristic
396C2×D4×C19C2411yescharacteristic
397C2×D4×C19C2412yes—
398C2×D4×C19C2412yes—
399C2×D4×C19C2411yescharacteristic
400C22×C4×C19—21no—
401C22×C4×C19—21no—
402C22×C4×C19—21no—
403C22×C4×C19—21no—
404C22×C4×C19—21no—
405C22×C4×C19—21no—
406C22×C4×C19—21no—
407C22×C4×C19—21no—
408C22×C4×C19—21no—
409C22×C4×C19—22no—
410C22×C4×C19—22no—
411C22×C4×C19—22no—
412C22×C4×C19—22no—
413C22×C4×C19—21no—
414C22×C4×C19—21no—
415C22×C4×C19—82no—
416C22×C4×C19—82no—
417C22×C4×C19C2×D411yescharacteristic
418C22×C4×C19C2×D411yescharacteristic
419C22×C4×C19C2×D411yescharacteristic
420C22×C4×C19C2×D411yescharacteristic
421C22×C4×C19C2×D411yescharacteristic
422C22×C4×C19C2×D411yescharacteristic
423C22×C4×C19C2411yescharacteristic
424C22×C4×C19C2411yescharacteristic
425C22×C4×C19C2411yescharacteristic
426Q16×C19—42no—
427SD16×C19—24no—
428SD16×C19—42no—
429SD16×C19—42no—
430SD16×C19—42no—
431SD16×C19—42no—
432D8×C19—24no—
433D8×C19—24no—
434D8×C19—42no—
435D8×C19—42no—
436D8×C19—42no—
437D8×C19—42no—
438M16×C19—42no—
439C2×C8×C19—42no—
440C2×C8×C19—42no—
441C2×C8×C19C2412yes—
442C2×C8×C19C2412yes—
443C2×C8×C19C2412yes—
444C2×C8×C19C2412yes—
445C4⋊C4×C19—21no—
446C4⋊C4×C19—21no—
447C4⋊C4×C19—21no—
448C4⋊C4×C19—21no—
449C4⋊C4×C19—21no—
450C4⋊C4×C19—21no—
451C4⋊C4×C19—21no—
452C4⋊C4×C19—21no—
453C4⋊C4×C19—21no—
454C4⋊C4×C19—21no—
455C4⋊C4×C19—21no—
456C4⋊C4×C19—21no—
457C4⋊C4×C19—21no—
458C4⋊C4×C19—21no—
459C4⋊C4×C19—22no—
460C4⋊C4×C19—22no—
461C4⋊C4×C19C2×D411yescharacteristic
462C4⋊C4×C19C2×D411yescharacteristic
463C4⋊C4×C19C2×D411yescharacteristic
464C4⋊C4×C19C2×D411yescharacteristic
465C4⋊C4×C19C2×D411yescharacteristic
466C4⋊C4×C19C2×D411yescharacteristic
467C4⋊C4×C19C2411yescharacteristic
468C4⋊C4×C19C2411yescharacteristic
469C4⋊C4×C19C2411yescharacteristic
470C4⋊C4×C19C2411yescharacteristic
471C4⋊C4×C19C2412yes—
472C22⋊C4×C19—22no—
473C22⋊C4×C19—21no—
474C22⋊C4×C19—21no—
475C22⋊C4×C19—21no—
476C22⋊C4×C19—21no—
477C22⋊C4×C19—22no—
478C22⋊C4×C19—22no—
479C22⋊C4×C19—22no—
480C22⋊C4×C19—22no—
481C22⋊C4×C19—21no—
482C22⋊C4×C19—21no—
483C22⋊C4×C19—21no—
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—21no—
492C22⋊C4×C19—21no—
493C22⋊C4×C19—21no—
494C22⋊C4×C19—21no—
495C22⋊C4×C19—21no—
496C22⋊C4×C19—22no—
497C22⋊C4×C19—22no—
498C22⋊C4×C19—22no—
499C22⋊C4×C19—22no—
500C22⋊C4×C19C2×D411yescharacteristic
501C22⋊C4×C19C2×D411yescharacteristic
502C22⋊C4×C19C2×D411yescharacteristic
503C22⋊C4×C19C2×D411yescharacteristic
504C22⋊C4×C19C2×D411yescharacteristic
505C22⋊C4×C19C2×D411yescharacteristic
506C42×C19—21no—
507C42×C19—21no—
508C42×C19—21no—
509C42×C19—22no—
510C42×C19C2×D411yescharacteristic
511C42×C19C2×D411yescharacteristic
512C42×C19C2×D411yescharacteristic
513C42×C19C2×D411yescharacteristic
514C42×C19C2×D411yescharacteristic
515C42×C19C2×D411yescharacteristic
516C42×C19C2411yescharacteristic
517C42×C19C2411yescharacteristic
518C42×C19C2411yescharacteristic
519C42×C19C2411yescharacteristic
520#61977C1911yesmaximal, characteristic, direct product factor, Sylow
521C23×C19—21no—
522C23×C19—21no—
523C23×C19—21no—
524C23×C19—22no—
525C23×C19—22no—
526C23×C19—42no—
527C23×C19—42no—
528C23×C19—42no—
529C23×C19—42no—
530C23×C19—44no—
531C23×C19—81no—
532C23×C19—81no—
533C23×C19—82no—
534C23×C19—82no—
535C23×C19C22×D411yescharacteristic
536C23×C19C22×D411yescharacteristic
537C23×C19C22×D411yescharacteristic
538Q8×C19—22no—
539Q8×C19—21no—
540Q8×C19—21no—
541Q8×C19—22no—
542Q8×C19—41no—
543Q8×C19—42no—
544Q8×C19—81no—
545D4×C19—22no—
546D4×C19—22no—
547D4×C19—22no—
548D4×C19—22no—
549D4×C19—21no—
550D4×C19—21no—
551D4×C19—21no—
552D4×C19—21no—
553D4×C19—22no—
554D4×C19—21no—
555D4×C19—22no—
556D4×C19—41no—
557D4×C19—42no—
558D4×C19—42no—
559D4×C19—42no—
560D4×C19—42no—
561D4×C19—44no—
562D4×C19—42no—
563D4×C19—42no—
564D4×C19—42no—
565D4×C19—42no—
566D4×C19—42no—
567D4×C19—42no—
568D4×C19—82no—
569D4×C19—82no—
570D4×C19—81no—
571D4×C19—82no—
572D4×C19—82no—
573D4×C19—81no—
574D4×C19—81no—
575D4×C19—82no—
576D4×C19—82no—
577D4×C19H(5,𝔽2)12yes—
578C2×C4×C19—22no—
579C2×C4×C19—22no—
580C2×C4×C19—22no—
581C2×C4×C19—22no—
582C2×C4×C19—21no—
583C2×C4×C19—21no—
584C2×C4×C19—21no—
585C2×C4×C19—21no—
586C2×C4×C19—21no—
587C2×C4×C19—21no—
588C2×C4×C19—21no—
589C2×C4×C19—21no—
590C2×C4×C19—21no—
591C2×C4×C19—22no—
592C2×C4×C19—22no—
593C2×C4×C19—21no—
594C2×C4×C19—21no—
595C2×C4×C19—41no—
596C2×C4×C19—41no—
597C2×C4×C19—42no—
598C2×C4×C19—42no—
599C2×C4×C19—42no—
600C2×C4×C19—42no—
601C2×C4×C19—42no—
602C2×C4×C19—81no—
603C2×C4×C19—81no—
604C2×C4×C19—81no—
605C2×C4×C19—81no—
606C2×C4×C19—82no—
607C2×C4×C19—82no—
608C2×C4×C19—82no—
609C2×C4×C19—82no—
610C2×C4×C19—81no—
611C2×C4×C19—81no—
612C2×C4×C19C22×D411yescharacteristic
613C2×C4×C19C22×D411yescharacteristic
614C2×C4×C19C22×D411yescharacteristic
615C2×C4×C19C22×D411yescharacteristic
616C2×C4×C19C22×D411yescharacteristic
617C2×C4×C19C22×D411yescharacteristic
618C2×C4×C19C22×D411yescharacteristic
619C2×C4×C19C22×D411yescharacteristic
620C2×C4×C19C22×D411yescharacteristic
621C2×C4×C19C22×D411yescharacteristic
622C2×C4×C19C22×D411yescharacteristic
623C2×C4×C19C2511yescharacteristic
624C8×C19—22no—
625C8×C19—22no—
626C8×C19—22no—
627C8×C19—22no—
628#3508C2×C1911yescharacteristic, complemented
629#3481C2×C1911yescharacteristic, complemented
630#3403C2×C1912yescomplemented
631#3370C2×C1912yescomplemented
632#3314C2×C1912yescomplemented
633#3309C2×C1912yescomplemented
634#3297C2×C1912yescomplemented
635#3280C2×C1912yescomplemented
636#3268C2×C1912yescomplemented
637#3264C2×C1912yescomplemented
638#3251C2×C1911yescharacteristic, complemented
639#3248C2×C1911yescharacteristic, complemented
640#3245C2×C1911yescharacteristic, complemented
641#3217C2×C1911yescharacteristic, complemented
642#3214C2×C1911yescharacteristic, complemented
643#3212C2×C1911yescharacteristic, complemented
644#3115C2×C1911yescharacteristic, complemented
645#3110C2×C1911yescharacteristic, complemented
646#3100C2×C1911yescharacteristic, complemented
647#3036C2×C1911yescharacteristic, complemented
648#3035C2×C1911yescharacteristic, complemented
649C2×#459C2×C1911yescharacteristic, complemented
650#2990C2×C1911yescharacteristic, complemented
651C22×C19—21no—
652C22×C19—21no—
653C22×C19—21no—
654C22×C19—21no—
655C22×C19—22no—
656C22×C19—21no—
657C22×C19—21no—
658C22×C19—21no—
659C22×C19—21no—
660C22×C19—41no—
661C22×C19—41no—
662C22×C19—42no—
663C22×C19—42no—
664C22×C19—41no—
665C22×C19—41no—
666C22×C19—41no—
667C22×C19—41no—
668C22×C19—42no—
669C22×C19—42no—
670C22×C19—41no—
671C22×C19—41no—
672C22×C19—42no—
673C22×C19—42no—
674C22×C19—84no—
675C22×C19—84no—
676C22×C19—164no—
677C22×C19#57512yes—
678C22×C19C23×D411yescharacteristic
679C4×C19—21no—
680C4×C19—21no—
681C4×C19—21no—
682C4×C19—21no—
683C4×C19—21no—
684C4×C19—21no—
685C4×C19—21no—
686C4×C19—21no—
687C4×C19—21no—
688C4×C19—21no—
689C4×C19—41no—
690C4×C19—42no—
691C4×C19—41no—
692C4×C19—41no—
693C4×C19—41no—
694C4×C19—41no—
695C4×C19—42no—
696C4×C19#57612yes—
697C4×C19C2×H(5,𝔽2)11yescharacteristic
698C4×C19#58511yescharacteristic
699C2×AGL(1,ℤ/8)C22×C1912yescomplemented
700C2×#135C22×C1912yescomplemented
701C22×D8C22×C1912yes—
702#559—21no—
703#559C22×C1912yescomplemented
704#559C22×C1911yescharacteristic, complemented
705#554C22×C1911yescharacteristic
706#554C22×C1911yescharacteristic, complemented
707#553—21no—
708#553C22×C1911yescharacteristic
709#553C22×C1911yescharacteristic, complemented
710#551—21no—
711#551—21no—
712#550—21no—
713#550C22×C1912yescomplemented
714#546—21no—
715#546—21no—
716#546—21no—
717#546C22×C1911yescharacteristic
718#546C22×C1912yes—
719#546C22×C1911yescharacteristic, complemented
720#546C22×C1912yescomplemented
721D42C22×C1911yescharacteristic
722#540—21no—
723#540—21no—
724#535—21no—
725#533C22×C1911yescharacteristic, complemented
726#532C22×C1911yescharacteristic, complemented
727#532C22×C1911yescharacteristic, complemented
728#532C22×C1911yescharacteristic, complemented
729#532C22×C1911yescharacteristic, complemented
730#532C22×C1911yescharacteristic, complemented
731C2×#127C22×C1911yescharacteristic, complemented
732#529—21no—
733#529C22×C1911yescharacteristic
734#529C22×C1911yescharacteristic, complemented
735#525—21no—
736#525—21no—
737#518—21no—
738C4×#41C22×C1911yescharacteristic
739C4×#41C22×C1911yescharacteristic, complemented
740C2×C4×D4—21no—
741C2×C4×D4C22×C1911yescharacteristic
742C2×C4×D4C22×C1911yescharacteristic, complemented
743#496C22×C1912yescomplemented
744#496C22×C1912yescomplemented
745#495C22×C1912yescomplemented
746#490C22×C1912yescomplemented
747#489C22×C1912yescomplemented
748#488C22×C1912yescomplemented
749#484C22×C1912yescomplemented
750#482C22×C1912yescomplemented
751#480C22×C1912yescomplemented
752#479C22×C1912yescomplemented
753#478C22×C1912yescomplemented
754#475C22×C1911yescharacteristic, complemented
755#474C22×C1911yescharacteristic, complemented
756#474C22×C1911yescharacteristic, complemented
757#474C22×C1911yescharacteristic, complemented
758#474C22×C1912yescomplemented
759#469C22×C1912yescomplemented
760#468C22×C1912yescomplemented
761#467C22×C1912yescomplemented
762#466C22×C1912yescomplemented
763#466C22×C1912yescomplemented
764#465C22×C1912yes—
765#464C22×C1912yescomplemented
766#464C22×C1912yescomplemented
767#463C22×C1912yescomplemented
768#463C22×C1912yescomplemented
769#463C22×C1912yescomplemented
770#463C22×C1912yescomplemented
771#462C22×C1911yescharacteristic, complemented
772#461C22×C1911yescharacteristic, complemented
773#461C22×C1911yescharacteristic, complemented
774#461C22×C1911yescharacteristic, complemented
775#460C22×C1911yescharacteristic, complemented
776#460C22×C1911yescharacteristic, complemented
777#459C22×C1911yescharacteristic
778#459C22×C1912yes—
779#459C22×C1911yescharacteristic
780#459C22×C1911yescharacteristic, complemented
781#459C22×C1912yescomplemented
782#459C22×C1912yescomplemented
783#459C22×C1911yescharacteristic, complemented
784#459C22×C1911yescharacteristic, complemented
785#459C22×C1911yescharacteristic, complemented
786#452C22×C1912yescomplemented
787#450C22×C1912yes—
788#450C22×C1912yescomplemented
789#449C22×C1912yescomplemented
790#449C22×C1912yescomplemented
791#449C22×C1912yescomplemented
792#449C22×C1912yescomplemented
793#447C22×C1912yes—
794#447C22×C1912yescomplemented
795#446C22×C1912yescomplemented
796#442C22×C1912yescomplemented
797#440C22×C1912yescomplemented
798#440C22×C1912yescomplemented
799#440C22×C1912yescomplemented
800C4×D8C22×C1912yescomplemented
801C4×D8C22×C1912yescomplemented
802#435C22×C1912yes—
803#435C22×C1912yescomplemented
804C8×D4C22×C1912yescomplemented
805#432C22×C1911yescharacteristic, complemented
806#432C22×C1911yescharacteristic, complemented
807#431C22×C1911yescharacteristic, complemented
808#423C22×C1911yescharacteristic, complemented
809C2×C4⋊C8C22×C1911yescharacteristic, complemented
810C2×C4⋊C8C22×C1911yescharacteristic, complemented
811#417C22×C1912yescomplemented
812#416C22×C1912yescomplemented
813C2×#102C22×C1912yescomplemented
814C2×C19—22no—
815C2×C19—41no—
816C2×C19—41no—
817C2×C19—42no—
818C2×C19—81no—
819C2×C19—81no—
820C2×C19—82no—
821C2×C19—82no—
822C2×C19#348811yescharacteristic
823C2×C19C2×#57511yescharacteristic
824C2×C19C2×#57611yescharacteristic
825C2×#41—21no—
826C2×#41—21no—
827C2×#41—21no—
828C2×#41D4×C1911yescharacteristic
829C2×#41C23×C1911yescharacteristic
830C2×#41C23×C1912yes—
831C2×#41C23×C1912yes—
832C22×D4—21no—
833C22×D4—21no—
834C22×D4—21no—
835C22×D4C23×C1911yescharacteristic
836C22×D4C23×C1911yescharacteristic
837C22×D4C23×C1912yes—
838C23×C4—21no—
839C23×C4—21no—
840AGL(1,ℤ/8)—44no—
841#135—44no—
842C2×Q16C23×C1912yes—
843C2×SD16C23×C1912yes—
844C2×SD16C23×C1912yes—
845C2×SD16C23×C1912yes—
846C2×SD16C23×C1912yes—
847C2×SD16C23×C1912yes—
848C2×D8—44no—
849C2×D8C23×C1912yes—
850C2×D8C23×C1912yes—
851C2×D8C23×C1912yes—
852C2×D8C23×C1912yes—
853C2×D8C23×C1912yes—
854C2×D8C23×C1912yes—
855C2×M16C23×C1912yes—
856C22×C8C23×C1912yes—
857C22×C8C23×C1912yes—
858C4⋊Q8C23×C1911yescharacteristic
859C4⋊Q8C23×C1911yescharacteristic
860C4⋊Q8C23×C1911yescharacteristic
861#127—22no—
862#127—21no—
863#127—21no—
864#127C23×C1911yescharacteristic
865#127C23×C1911yescharacteristic
866#127C23×C1912yes—
867#127C23×C1911yescharacteristic
868#126—21no—
869#126—21no—
870#126—21no—
871#126—21no—
872#125—21no—
873#125—21no—
874#125C23×C1911yescharacteristic
875#125C23×C1911yescharacteristic
876#124—21no—
877#124—22no—
878#124—21no—
879#124—21no—
880#124—21no—
881#124C23×C1911yescharacteristic
882#124C23×C1911yescharacteristic
883#124C23×C1912yes—
884#124C23×C1912yes—
885#123—21no—
886#123—21no—
887#123—21no—
888#123—21no—
889#123—21no—
890#123—21no—
891#123—22no—
892#123—22no—
893#123—22no—
894#123—22no—
895#123—21no—
896#123—21no—
897C22⋊Q8—21no—
898C22⋊Q8—21no—
899C22⋊Q8—21no—
900C22⋊Q8—21no—
901C22⋊Q8—21no—
902C22⋊Q8—21no—
903C22⋊Q8C23×C1911yescharacteristic
904C22⋊Q8C23×C1911yescharacteristic
905C22⋊Q8C23×C1912yes—
906#121—21no—
907#121—21no—
908#121—21no—
909#121—21no—
910#121—21no—
911#121—21no—
912#121—21no—
913#121—21no—
914#121—21no—
915#121—21no—
916#121—21no—
917#121—21no—
918#121—22no—
919#121—22no—
920#121—22no—
921#121—22no—
922#121C23×C1911yescharacteristic
923#121C23×C1911yescharacteristic
924#121C23×C1912yes—
925#121C23×C1911yescharacteristic
926#121C23×C1912yes—
927#121C23×C1911yescharacteristic
928#120—21no—
929#120—21no—
930#120—22no—
931#120—22no—
932#120—21no—
933#120—21no—
934C4×Q8—21no—
935C4×Q8D4×C1911yescharacteristic
936C4×Q8C23×C1911yescharacteristic
937C4×Q8C23×C1911yescharacteristic
938C4×Q8C23×C1912yes—
939C4×Q8C23×C1911yescharacteristic
940C4×D4—21no—
941C4×D4—21no—
942C4×D4—21no—
943C4×D4—21no—
944C4×D4—21no—
945C4×D4—21no—
946C4×D4—22no—
947C4×D4—22no—
948C4×D4—21no—
949C4×D4—21no—
950C4×D4—21no—
951C4×D4—21no—
952C4×D4—21no—
953C4×D4—21no—
954C4×D4—21no—
955C4×D4—21no—
956C4×D4—21no—
957C4×D4—21no—
958C4×D4—21no—
959C4×D4—21no—
960C4×D4—21no—
961C4×D4D4×C1911yescharacteristic
962C4×D4D4×C1911yescharacteristic
963C4×D4D4×C1911yescharacteristic
964C4×D4C23×C1911yescharacteristic
965C4×D4C23×C1911yescharacteristic
966C4×D4C23×C1911yescharacteristic
967C4×D4C23×C1911yescharacteristic
968C4×D4C23×C1911yescharacteristic
969C4×D4C23×C1911yescharacteristic
970C4×D4C23×C1911yescharacteristic
971C4×D4C23×C1911yescharacteristic
972C4×D4C23×C1912yes—
973C4×D4C23×C1912yes—
974C4×D4C23×C1911yescharacteristic
975C4×D4C23×C1911yescharacteristic
976C4×D4C23×C1911yescharacteristic
977#117—21no—
978#117—21no—
979#117—21no—
980#117—21no—
981#117D4×C1911yescharacteristic
982#117D4×C1911yescharacteristic
983#117D4×C1911yescharacteristic
984#117C23×C1911yescharacteristic
985C2×C4⋊C4—21no—
986C2×C4⋊C4C23×C1911yescharacteristic
987C2×C4⋊C4C23×C1911yescharacteristic
988C2×C22⋊C4—21no—
989C2×C22⋊C4—21no—
990C2×C22⋊C4—21no—
991C2×C22⋊C4—21no—
992C2×C22⋊C4—22no—
993C2×C22⋊C4—22no—
994C2×C42—21no—
995C2×C42C23×C1911yescharacteristic
996C2×C42C23×C1911yescharacteristic
997C2×C42C23×C1911yescharacteristic
998#107C23×C1912yes—
999#107C23×C1912yes—
1000#107C23×C1912yes—
1001#106C23×C1912yes—
1002C4⋊C8C23×C1911yescharacteristic
1003C4⋊C8C23×C1911yescharacteristic
1004C4⋊C8C23×C1911yescharacteristic
1005C4⋊C8C23×C1912yes—
1006C4⋊C8C23×C1912yes—
1007C4⋊C8C23×C1912yes—
1008C4⋊C8C23×C1911yescharacteristic
1009#103C23×C1912yes—
1010#103C23×C1912yes—
1011#103C23×C1912yes—
1012#103C23×C1912yes—
1013#103C23×C1912yes—
1014#102C23×C1912yes—
1015#102C23×C1912yes—
1016#102C23×C1912yes—
1017#102C23×C1912yes—
1018#102C23×C1912yes—
1019#102C23×C1912yes—
1020#102C23×C1912yes—
1021#102C23×C1912yes—
1022#102C23×C1912yes—
1023#102C23×C1912yes—
1024#102C23×C1912yes—
1025C22⋊C8C23×C1912yes—
1026C22⋊C8C23×C1912yes—
1027C22⋊C8C23×C1912yes—
1028#97C23×C1912yes—
1029#97C23×C1912yes—
1030C4×C8C23×C1912yes—
1031C19#6197711yescharacteristic, direct product factor, Sylow
1032C24—21no—
1033C24—21no—
1034C24—22no—
1035#41—22no—
1036#41—42no—
1037#41—41no—
1038#41—42no—
1039#41—42no—
1040#41—42no—
1041#41—42no—
1042#41—82no—
1043#41—82no—
1044#41—82no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8C2×D4×C1911yescharacteristic
1048C2×Q8C24×C1912yes—
1049C2×Q8C24×C1911yescharacteristic
1050C2×D4—22no—
1051C2×D4—22no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—22no—
1056C2×D4—22no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—22no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—82no—
1079C2×D4C2×D4×C1911yescharacteristic
1080C2×D4C2×D4×C1911yescharacteristic
1081C2×D4C2×D4×C1911yescharacteristic
1082C2×D4C24×C1912yes—
1083C2×D4C24×C1912yes—
1084C2×D4C24×C1911yescharacteristic
1085C2×D4C24×C1911yescharacteristic
1086C2×D4C24×C1911yescharacteristic
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—82no—
1103C22×C4—82no—
1104C22×C4C2×D4×C1911yescharacteristic
1105C22×C4C2×D4×C1911yescharacteristic
1106C22×C4C2×D4×C1911yescharacteristic
1107C22×C4C2×D4×C1911yescharacteristic
1108C22×C4C2×D4×C1911yescharacteristic
1109C22×C4C2×D4×C1911yescharacteristic
1110C22×C4C24×C1911yescharacteristic
1111C22×C4C24×C1911yescharacteristic
1112C22×C4C24×C1911yescharacteristic
1113Q16—42no—
1114SD16—24no—
1115SD16—42no—
1116SD16—42no—
1117SD16—42no—
1118SD16—42no—
1119D8—24no—
1120D8—24no—
1121D8—42no—
1122D8—42no—
1123D8—42no—
1124D8—42no—
1125M16—42no—
1126C2×C8—42no—
1127C2×C8—42no—
1128C2×C8C24×C1912yes—
1129C2×C8C24×C1912yes—
1130C2×C8C24×C1912yes—
1131C2×C8C24×C1912yes—
1132C4⋊C4—21no—
1133C4⋊C4—21no—
1134C4⋊C4—21no—
1135C4⋊C4—21no—
1136C4⋊C4—21no—
1137C4⋊C4—21no—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—21no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—21no—
1145C4⋊C4—21no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4C2×D4×C1911yescharacteristic
1149C4⋊C4C2×D4×C1911yescharacteristic
1150C4⋊C4C2×D4×C1911yescharacteristic
1151C4⋊C4C2×D4×C1911yescharacteristic
1152C4⋊C4C2×D4×C1911yescharacteristic
1153C4⋊C4C2×D4×C1911yescharacteristic
1154C4⋊C4C24×C1911yescharacteristic
1155C4⋊C4C24×C1911yescharacteristic
1156C4⋊C4C24×C1911yescharacteristic
1157C4⋊C4C24×C1911yescharacteristic
1158C4⋊C4C24×C1912yes—
1159C22⋊C4—22no—
1160C22⋊C4—21no—
1161C22⋊C4—21no—
1162C22⋊C4—21no—
1163C22⋊C4—21no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—21no—
1169C22⋊C4—21no—
1170C22⋊C4—21no—
1171C22⋊C4—21no—
1172C22⋊C4—21no—
1173C22⋊C4—21no—
1174C22⋊C4—21no—
1175C22⋊C4—21no—
1176C22⋊C4—21no—
1177C22⋊C4—21no—
1178C22⋊C4—21no—
1179C22⋊C4—21no—
1180C22⋊C4—21no—
1181C22⋊C4—21no—
1182C22⋊C4—21no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4C2×D4×C1911yescharacteristic
1188C22⋊C4C2×D4×C1911yescharacteristic
1189C22⋊C4C2×D4×C1911yescharacteristic
1190C22⋊C4C2×D4×C1911yescharacteristic
1191C22⋊C4C2×D4×C1911yescharacteristic
1192C22⋊C4C2×D4×C1911yescharacteristic
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—22no—
1197C42C2×D4×C1911yescharacteristic
1198C42C2×D4×C1911yescharacteristic
1199C42C2×D4×C1911yescharacteristic
1200C42C2×D4×C1911yescharacteristic
1201C42C2×D4×C1911yescharacteristic
1202C42C2×D4×C1911yescharacteristic
1203C42C24×C1911yescharacteristic
1204C42C24×C1911yescharacteristic
1205C42C24×C1911yescharacteristic
1206C42C24×C1911yescharacteristic
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—22no—
1212C23—42no—
1213C23—42no—
1214C23—42no—
1215C23—42no—
1216C23—44no—
1217C23—81no—
1218C23—81no—
1219C23—82no—
1220C23—82no—
1221C23C22×D4×C1911yescharacteristic
1222C23C22×D4×C1911yescharacteristic
1223C23C22×D4×C1911yescharacteristic
1224Q8—22no—
1225Q8—21no—
1226Q8—21no—
1227Q8—22no—
1228Q8—41no—
1229Q8—42no—
1230Q8—81no—
1231D4—22no—
1232D4—22no—
1233D4—22no—
1234D4—22no—
1235D4—21no—
1236D4—21no—
1237D4—21no—
1238D4—21no—
1239D4—22no—
1240D4—21no—
1241D4—22no—
1242D4—41no—
1243D4—42no—
1244D4—42no—
1245D4—42no—
1246D4—42no—
1247D4—44no—
1248D4—42no—
1249D4—42no—
1250D4—42no—
1251D4—42no—
1252D4—42no—
1253D4—42no—
1254D4—82no—
1255D4—82no—
1256D4—81no—
1257D4—82no—
1258D4—82no—
1259D4—81no—
1260D4—81no—
1261D4—82no—
1262D4—82no—
1263D4C19×H(5,𝔽2)12yes—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—42no—
1284C2×C4—42no—
1285C2×C4—42no—
1286C2×C4—42no—
1287C2×C4—42no—
1288C2×C4—81no—
1289C2×C4—81no—
1290C2×C4—81no—
1291C2×C4—81no—
1292C2×C4—82no—
1293C2×C4—82no—
1294C2×C4—82no—
1295C2×C4—82no—
1296C2×C4—81no—
1297C2×C4—81no—
1298C2×C4C22×D4×C1911yescharacteristic
1299C2×C4C22×D4×C1911yescharacteristic
1300C2×C4C22×D4×C1911yescharacteristic
1301C2×C4C22×D4×C1911yescharacteristic
1302C2×C4C22×D4×C1911yescharacteristic
1303C2×C4C22×D4×C1911yescharacteristic
1304C2×C4C22×D4×C1911yescharacteristic
1305C2×C4C22×D4×C1911yescharacteristic
1306C2×C4C22×D4×C1911yescharacteristic
1307C2×C4C22×D4×C1911yescharacteristic
1308C2×C4C22×D4×C1911yescharacteristic
1309C2×C4C25×C1911yescharacteristic
1310C8—22no—
1311C8—22no—
1312C8—22no—
1313C8—22no—
1314C22—21no—
1315C22—21no—
1316C22—21no—
1317C22—21no—
1318C22—22no—
1319C22—21no—
1320C22—21no—
1321C22—21no—
1322C22—21no—
1323C22—41no—
1324C22—41no—
1325C22—42no—
1326C22—42no—
1327C22—41no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—42no—
1332C22—42no—
1333C22—41no—
1334C22—41no—
1335C22—42no—
1336C22—42no—
1337C22—84no—
1338C22—84no—
1339C22—164no—
1340C22C19×#57512yes—
1341C22C23×D4×C1911yescharacteristic
1342C4—21no—
1343C4—21no—
1344C4—21no—
1345C4—21no—
1346C4—21no—
1347C4—21no—
1348C4—21no—
1349C4—21no—
1350C4—21no—
1351C4—21no—
1352C4—41no—
1353C4—42no—
1354C4—41no—
1355C4—41no—
1356C4—41no—
1357C4—41no—
1358C4—42no—
1359C4C19×#57612yes—
1360C4C2×C19×H(5,𝔽2)11yescharacteristic
1361C4C19×#58511yescharacteristic
1362C2—22no—
1363C2—41no—
1364C2—41no—
1365C2—42no—
1366C2—81no—
1367C2—81no—
1368C2—82no—
1369C2—82no—
1370C2C19×#348811yescharacteristic
1371C2C2×C19×#57511yescharacteristic
1372C2C2×C19×#57611yescharacteristic
subgroupG/H
center, socleC22×C19C23×D4
commutator, Frattini, cosocleC2×C4C25×C19
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C19 ◁ C4×#41×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3508C2semidirect
2. C19×#3481C2semidirect
3. C19×#3403C2semidirect
4. C19×#3370C2semidirect
5. C19×#3314C2semidirect
6. C19×#3309C2semidirect
7. C19×#3297C2semidirect
8. C19×#3280C2semidirect
9. C19×#3268C2semidirect
10. C19×#3264C2semidirect
11. C19×#3251C2semidirect
12. C19×#3248C2semidirect
13. C19×#3245C2semidirect
14. C19×#3217C2semidirect
15. C19×#3214C2semidirect
16. C19×#3212C2semidirect
17. C19×#3115C2semidirect
18. C19×#3110C2semidirect
19. C19×#3100C2semidirect
20. C19×#3036C2semidirect
21. C19×#3035C2semidirect
22. C2×C19×#459C2semidirect
23. C19×#2990C2semidirect
24. C2×C19×AGL(1,ℤ/8)C22semidirect
25. C2×C19×#135C22semidirect
28. C19×#559C22semidirect
29. C19×#559C22semidirect
31. C19×#554C22semidirect
34. C19×#553C22semidirect
38. C19×#550C22semidirect
44. C19×#546C22semidirect
45. C19×#546C22semidirect
50. C19×#533C22semidirect
51. C19×#532C22semidirect
52. C19×#532C22semidirect
53. C19×#532C22semidirect
54. C19×#532C22semidirect
55. C19×#532C22semidirect
56. C2×C19×#127C22semidirect
59. C19×#529C22semidirect
64. C4×#41×C19C22semidirect
67. C2×C4×D4×C19C22semidirect
68. C19×#496C22semidirect
69. C19×#496C22semidirect
70. C19×#495C22semidirect
71. C19×#490C22semidirect
72. C19×#489C22semidirect
73. C19×#488C22semidirect
74. C19×#484C22semidirect
75. C19×#482C22semidirect
76. C19×#480C22semidirect
77. C19×#479C22semidirect
78. C19×#478C22semidirect
79. C19×#475C22semidirect
80. C19×#474C22semidirect
81. C19×#474C22semidirect
82. C19×#474C22semidirect
83. C19×#474C22semidirect
84. C19×#469C22semidirect
85. C19×#468C22semidirect
86. C19×#467C22semidirect
87. C19×#466C22semidirect
88. C19×#466C22semidirect
90. C19×#464C22semidirect
91. C19×#464C22semidirect
92. C19×#463C22semidirect
93. C19×#463C22semidirect
94. C19×#463C22semidirect
95. C19×#463C22semidirect
96. C19×#462C22semidirect
97. C19×#461C22semidirect
98. C19×#461C22semidirect
99. C19×#461C22semidirect
100. C19×#460C22semidirect
101. C19×#460C22semidirect
105. C19×#459C22semidirect
106. C19×#459C22semidirect
107. C19×#459C22semidirect
108. C19×#459C22semidirect
109. C19×#459C22semidirect
110. C19×#459C22semidirect
111. C19×#452C22semidirect
113. C19×#450C22semidirect
114. C19×#449C22semidirect
115. C19×#449C22semidirect
116. C19×#449C22semidirect
117. C19×#449C22semidirect
119. C19×#447C22semidirect
120. C19×#446C22semidirect
121. C19×#442C22semidirect
122. C19×#440C22semidirect
123. C19×#440C22semidirect
124. C19×#440C22semidirect
125. C4×D8×C19C22semidirect
126. C4×D8×C19C22semidirect
128. C19×#435C22semidirect
129. C8×D4×C19C22semidirect
130. C19×#432C22semidirect
131. C19×#432C22semidirect
132. C19×#431C22semidirect
133. C19×#423C22semidirect
134. C2×C19×C4⋊C8C22semidirect
135. C2×C19×C4⋊C8C22semidirect
136. C19×#417C22semidirect
137. C19×#416C22semidirect
138. C2×C19×#102C22semidirect
520. #61977C19direct (N × H)
628. #3508C2×C19semidirect
629. #3481C2×C19semidirect
630. #3403C2×C19semidirect
631. #3370C2×C19semidirect
632. #3314C2×C19semidirect
633. #3309C2×C19semidirect
634. #3297C2×C19semidirect
635. #3280C2×C19semidirect
636. #3268C2×C19semidirect
637. #3264C2×C19semidirect
638. #3251C2×C19semidirect
639. #3248C2×C19semidirect
640. #3245C2×C19semidirect
641. #3217C2×C19semidirect
642. #3214C2×C19semidirect
643. #3212C2×C19semidirect
644. #3115C2×C19semidirect
645. #3110C2×C19semidirect
646. #3100C2×C19semidirect
647. #3036C2×C19semidirect
648. #3035C2×C19semidirect
649. C2×#459C2×C19semidirect
650. #2990C2×C19semidirect
699. C2×AGL(1,ℤ/8)C22×C19semidirect
700. C2×#135C22×C19semidirect
703. #559C22×C19semidirect
704. #559C22×C19semidirect
706. #554C22×C19semidirect
709. #553C22×C19semidirect
713. #550C22×C19semidirect
719. #546C22×C19semidirect
720. #546C22×C19semidirect
725. #533C22×C19semidirect
726. #532C22×C19semidirect
727. #532C22×C19semidirect
728. #532C22×C19semidirect
729. #532C22×C19semidirect
730. #532C22×C19semidirect
731. C2×#127C22×C19semidirect
734. #529C22×C19semidirect
739. C4×#41C22×C19semidirect
742. C2×C4×D4C22×C19semidirect
743. #496C22×C19semidirect
744. #496C22×C19semidirect
745. #495C22×C19semidirect
746. #490C22×C19semidirect
747. #489C22×C19semidirect
748. #488C22×C19semidirect
749. #484C22×C19semidirect
750. #482C22×C19semidirect
751. #480C22×C19semidirect
752. #479C22×C19semidirect
753. #478C22×C19semidirect
754. #475C22×C19semidirect
755. #474C22×C19semidirect
756. #474C22×C19semidirect
757. #474C22×C19semidirect
758. #474C22×C19semidirect
759. #469C22×C19semidirect
760. #468C22×C19semidirect
761. #467C22×C19semidirect
762. #466C22×C19semidirect
763. #466C22×C19semidirect
765. #464C22×C19semidirect
766. #464C22×C19semidirect
767. #463C22×C19semidirect
768. #463C22×C19semidirect
769. #463C22×C19semidirect
770. #463C22×C19semidirect
771. #462C22×C19semidirect
772. #461C22×C19semidirect
773. #461C22×C19semidirect
774. #461C22×C19semidirect
775. #460C22×C19semidirect
776. #460C22×C19semidirect
780. #459C22×C19semidirect
781. #459C22×C19semidirect
782. #459C22×C19semidirect
783. #459C22×C19semidirect
784. #459C22×C19semidirect
785. #459C22×C19semidirect
786. #452C22×C19semidirect
788. #450C22×C19semidirect
789. #449C22×C19semidirect
790. #449C22×C19semidirect
791. #449C22×C19semidirect
792. #449C22×C19semidirect
794. #447C22×C19semidirect
795. #446C22×C19semidirect
796. #442C22×C19semidirect
797. #440C22×C19semidirect
798. #440C22×C19semidirect
799. #440C22×C19semidirect
800. C4×D8C22×C19semidirect
801. C4×D8C22×C19semidirect
803. #435C22×C19semidirect
804. C8×D4C22×C19semidirect
805. #432C22×C19semidirect
806. #432C22×C19semidirect
807. #431C22×C19semidirect
808. #423C22×C19semidirect
809. C2×C4⋊C8C22×C19semidirect
810. C2×C4⋊C8C22×C19semidirect
811. #417C22×C19semidirect
812. #416C22×C19semidirect
813. C2×#102C22×C19semidirect
1031. C19#61977direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#35082
C19×#34812
C19×#34032
C19×#33702
C19×#33142
C19×#33092
C19×#32972
C19×#32802
C19×#32682
C19×#32642
C19×#32512
C19×#32482
C19×#32452
C19×#32172
C19×#32142
C19×#32122
C19×#31152
C19×#31102
C19×#31002
C19×#30362
C19×#30352
C2×C19×#4592
C19×#29902
#6197719