Finite Group Databasebeta

← C19×#61158 #18067117

Subgroups — C19×#61158 #18067117

Order 4864.

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
1C19×#3475C211yesmaximal, characteristic, complemented
2C2×C19×#548C211yesmaximal, characteristic, complemented
3C19×#3327C212yesmaximal, complemented
4C19×#3326C212yesmaximal, complemented
5C19×#3321C212yesmaximal, complemented
6C19×#3316C212yesmaximal, complemented
7C19×#3313C212yesmaximal, complemented
8C19×#3308C212yesmaximal, complemented
9C19×#3301C212yesmaximal, complemented
10C19×#3300C212yesmaximal, complemented
11C19×#3140C211yesmaximal, characteristic, complemented
12C19×#3095C211yesmaximal, characteristic, complemented
13C19×#3094C211yesmaximal, characteristic, complemented
14C19×#3078C211yesmaximal, characteristic, complemented
15C19×#3056C211yesmaximal, characteristic, complemented
16C19×#3055C211yesmaximal, characteristic, complemented
17C19×#3040C211yesmaximal, characteristic, complemented
18C19×#3005C211yesmaximal, characteristic, complemented
19C19×#3004C211yesmaximal, characteristic, complemented
20C4×C19×#137C211yesmaximal, characteristic, complemented
21D4×M16×C19C211yesmaximal, characteristic, complemented
22C19×#2896C211yesmaximal, characteristic, complemented
23C2×C19×#419C211yesmaximal, characteristic, complemented
24C22×#41×C19C2211yescharacteristic
25C23×Q8×C19C2211yescharacteristic
26C2×C19×#137C2211yescharacteristic
27C2×C19×#137C2211yescharacteristic
28C2×C19×AGL(1,ℤ/8)C2211yescharacteristic
29C22×M16×C19C2211yescharacteristic
30C22×M16×C19C2211yescharacteristic
31C19×#556C2211yescharacteristic, complemented
32C19×#555C2211yescharacteristic, complemented
33C19×#554C2211yescharacteristic, complemented
34C19×#553C2211yescharacteristic, complemented
35C19×#553C2211yescharacteristic, complemented
36C19×#552—21no—
37C19×#552C2211yescharacteristic, complemented
38C19×#552C2211yescharacteristic, complemented
39C19×#551—21no—
40C19×#551—21no—
41C19×#548—21no—
42C19×#548—21no—
43C19×#548—21no—
44C19×#548—21no—
45C19×#548C2212yes—
46C19×#548C2212yes—
47C19×#548C2212yes—
48C19×#548C2212yes—
49C19×#547C2211yescharacteristic, complemented
50C19×#546—21no—
51C19×#533C2211yescharacteristic
52C19×#529—21no—
53C19×#529—21no—
54C19×#529—21no—
55C2×C19×#124—21no—
56C2×C19×#124C2211yescharacteristic
57C19×#525C2211yescharacteristic
58C19×#525C2211yescharacteristic
59C2×C19×C22⋊Q8—21no—
60C2×C19×C22⋊Q8C2211yescharacteristic
61C2×C19×#121—21no—
62C2×C19×#121C2211yescharacteristic
63C4×#41×C19—21no—
64C4×#41×C19C2211yescharacteristic
65C2×C4×Q8×C19C2211yescharacteristic
66C2×C4×D4×C19—21no—
67C2×C4×D4×C19C2211yescharacteristic
68C2×C19×#117C2211yescharacteristic
69C2×C19×#117C2211yescharacteristic
70C19×#489C2212yescomplemented
71C19×#489C2212yescomplemented
72C19×#488C2212yescomplemented
73C19×#488C2212yescomplemented
74C19×#485C2212yescomplemented
75C19×#485C2212yescomplemented
76C19×#484C2212yescomplemented
77C19×#483C2212yescomplemented
78C19×#482C2212yescomplemented
79C19×#482C2212yescomplemented
80C19×#481C2212yescomplemented
81C19×#480C2212yescomplemented
82C19×#479C2212yescomplemented
83C19×#479C2212yescomplemented
84C19×#477C2212yescomplemented
85C19×#475C2212yescomplemented
86C19×#470C2212yescomplemented
87C19×#469C2212yescomplemented
88C19×#468C2212yescomplemented
89C19×#468C2212yescomplemented
90C19×#467C2212yescomplemented
91C19×#466C2212yescomplemented
92C19×#465C2212yescomplemented
93C19×#465C2212yescomplemented
94C19×#464C2212yescomplemented
95C19×#464C2212yescomplemented
96C19×#463C2212yescomplemented
97C19×#463C2212yescomplemented
98C19×#452C2212yescomplemented
99C19×#452C2212yescomplemented
100C19×#451C2212yescomplemented
101C19×#451C2212yescomplemented
102C19×#449C2212yescomplemented
103C19×#449C2212yescomplemented
104C19×#448C2212yescomplemented
105C19×#448C2212yescomplemented
106C19×#441C2212yescomplemented
107C19×#440C2212yescomplemented
108C4×Q16×C19C2212yescomplemented
109C4×SD16×C19C2212yescomplemented
110C19×#436C2212yescomplemented
111C19×#435C2212yescomplemented
112C19×#435C2212yescomplemented
113C8×D4×C19C2212yescomplemented
114C19×#428C2211yescharacteristic
115C19×#428C2211yescharacteristic
116C19×#428C2211yescharacteristic
117C19×#423C2211yescharacteristic
118C19×#419C2211yescharacteristic
119C19×#419C2211yescharacteristic
120C19×#419C2211yescharacteristic
121C19×#419C2211yescharacteristic
122C19×#419C2211yescharacteristic
123C19×#419C2211yescharacteristic
124C19×#419C2212yescomplemented
125C19×#419C2212yescomplemented
126C19×#418C2211yescharacteristic
127C19×#418C2211yescharacteristic
128C19×#418C2211yescharacteristic
129C19×#417C2211yescharacteristic
130C19×#417C2212yescomplemented
131C19×#417C2212yescomplemented
132C19×#416C2212yescomplemented
133C19×#416C2212yescomplemented
134C2×C19×#103C2212yescomplemented
135C2×C19×#103C2212yescomplemented
136C19×#407C2211yescharacteristic
137C19×#407C2211yescharacteristic
138C4×M16×C19C2211yescharacteristic
139C2×#41×C19—21no—
140C2×#41×C19—21no—
141C2×#41×C19—21no—
142C2×#41×C19—24no—
143C2×#41×C19—42no—
144C2×#41×C19C2311yescharacteristic
145C2×#41×C19C2312yes—
146C2×#41×C19C2312yes—
147C22×Q8×C19—21no—
148C22×Q8×C19—21no—
149C22×Q8×C19—21no—
150C22×Q8×C19—24no—
151C22×Q8×C19—42no—
152C22×Q8×C19C2311yescharacteristic
153C22×Q8×C19C2312yes—
154C22×Q8×C19C2312yes—
155C22×Q8×C19C2311yescharacteristic
156C22×D4×C19—21no—
157C22×D4×C19—21no—
158C22×D4×C19D411yescharacteristic
159C22×D4×C19C2311yescharacteristic
160C23×C4×C19—21no—
161C23×C4×C19—21no—
162C23×C4×C19C2311yescharacteristic
163C23×C4×C19C2311yescharacteristic
164C19×#137—24no—
165C19×#137—42no—
166C19×AGL(1,ℤ/8)—42no—
167C2×Q16×C19C2312yes—
168C2×Q16×C19C2312yes—
169C2×SD16×C19C2312yes—
170C2×SD16×C19C2312yes—
171C2×SD16×C19C2312yes—
172C2×D8×C19C2312yes—
173C2×M16×C19—42no—
174C2×M16×C19—42no—
175C2×M16×C19C2311yescharacteristic
176C2×M16×C19C2311yescharacteristic
177C2×M16×C19C2311yescharacteristic
178C2×M16×C19C2311yescharacteristic
179C2×M16×C19C2312yes—
180C2×M16×C19C2312yes—
181C22×C8×C19C2312yes—
182C22×C8×C19C2312yes—
183C19×C4⋊Q8C2311yescharacteristic
184C19×C4⋊Q8C2311yescharacteristic
185C19×#126—21no—
186C19×#126—21no—
187C19×#126—21no—
188C19×#126—21no—
189C19×#126—21no—
190C19×#126—21no—
191C19×#125—21no—
192C19×#125—21no—
193C19×#125—21no—
194C19×#125C2311yescharacteristic
195C19×#125C2311yescharacteristic
196C19×#124—21no—
197C19×#124—22no—
198C19×#124—22no—
199C19×#124—22no—
200C19×#124—22no—
201C19×#124—21no—
202C19×#124—21no—
203C19×#124—21no—
204C19×#124—21no—
205C19×#124C2312yes—
206C19×#124C2312yes—
207C19×#123—21no—
208C19×#123—21no—
209C19×#123—21no—
210C19×#123—21no—
211C19×#123—21no—
212C19×#123—21no—
213C19×#123—21no—
214C19×#123—21no—
215C19×C22⋊Q8—21no—
216C19×C22⋊Q8—21no—
217C19×C22⋊Q8—21no—
218C19×C22⋊Q8—21no—
219C19×C22⋊Q8—22no—
220C19×C22⋊Q8—22no—
221C19×C22⋊Q8—22no—
222C19×C22⋊Q8—22no—
223C19×C22⋊Q8—21no—
224C19×C22⋊Q8—21no—
225C19×C22⋊Q8—21no—
226C19×C22⋊Q8C2311yescharacteristic
227C19×C22⋊Q8C2311yescharacteristic
228C19×C22⋊Q8C2311yescharacteristic
229C19×C22⋊Q8C2311yescharacteristic
230C19×C22⋊Q8C2312yes—
231C19×C22⋊Q8C2312yes—
232C19×#121—22no—
233C19×#121—22no—
234C19×#121—22no—
235C19×#121—22no—
236C19×#121—21no—
237C19×#121—21no—
238C19×#121—21no—
239C19×#121—21no—
240C19×#121—21no—
241C19×#121C2311yescharacteristic
242C19×#121C2311yescharacteristic
243C19×#121C2311yescharacteristic
244C19×#121C2311yescharacteristic
245C19×#121C2312yes—
246C19×#121C2312yes—
247C19×#120—21no—
248C19×#120—21no—
249C4×Q8×C19—21no—
250C4×Q8×C19—21no—
251C4×Q8×C19—21no—
252C4×Q8×C19—21no—
253C4×Q8×C19—21no—
254C4×Q8×C19C2312yes—
255C4×Q8×C19C2311yescharacteristic
256C4×Q8×C19C2312yes—
257C4×Q8×C19C2311yescharacteristic
258C4×D4×C19—21no—
259C4×D4×C19—21no—
260C4×D4×C19—21no—
261C4×D4×C19—21no—
262C4×D4×C19—21no—
263C4×D4×C19—21no—
264C4×D4×C19—21no—
265C4×D4×C19—22no—
266C4×D4×C19—22no—
267C4×D4×C19—22no—
268C4×D4×C19—22no—
269C4×D4×C19—21no—
270C4×D4×C19—21no—
271C4×D4×C19D411yescharacteristic
272C4×D4×C19D411yescharacteristic
273C4×D4×C19D411yescharacteristic
274C4×D4×C19D411yescharacteristic
275C4×D4×C19C2311yescharacteristic
276C4×D4×C19C2311yescharacteristic
277C4×D4×C19C2311yescharacteristic
278C4×D4×C19C2311yescharacteristic
279C4×D4×C19C2311yescharacteristic
280C4×D4×C19C2311yescharacteristic
281C19×#117—21no—
282C19×#117—21no—
283C19×#117—21no—
284C19×#117—21no—
285C19×#117—21no—
286C19×#117—21no—
287C19×#117—21no—
288C19×#117—21no—
289C19×#117C2311yescharacteristic
290C19×#117C2311yescharacteristic
291C19×#117C2311yescharacteristic
292C19×#117C2311yescharacteristic
293C19×#117C2311yescharacteristic
294C19×#117C2311yescharacteristic
295C19×#117C2311yescharacteristic
296C2×C4⋊C4×C19—21no—
297C2×C4⋊C4×C19—21no—
298C2×C4⋊C4×C19D411yescharacteristic
299C2×C4⋊C4×C19C2311yescharacteristic
300C2×C4⋊C4×C19C2311yescharacteristic
301C2×C4⋊C4×C19C2311yescharacteristic
302C2×C4⋊C4×C19C2311yescharacteristic
303C2×C4⋊C4×C19C2311yescharacteristic
304C2×C22⋊C4×C19—21no—
305C2×C22⋊C4×C19—21no—
306C2×C22⋊C4×C19—21no—
307C2×C22⋊C4×C19—21no—
308C2×C22⋊C4×C19—21no—
309C2×C22⋊C4×C19—21no—
310C2×C22⋊C4×C19D411yescharacteristic
311C2×C22⋊C4×C19D411yescharacteristic
312C2×C42×C19—21no—
313C2×C42×C19—21no—
314C2×C42×C19—21no—
315C2×C42×C19—21no—
316C2×C42×C19C2311yescharacteristic
317C19×#107C2312yes—
318C19×#107C2312yes—
319C19×#107C2312yes—
320C19×#106C2312yes—
321C19×#106C2312yes—
322C19×#106C2312yes—
323C19×C4⋊C8C2312yes—
324C19×C4⋊C8C2312yes—
325C19×#103C2312yes—
326C19×#103C2312yes—
327C19×#103C2312yes—
328C19×#103C2312yes—
329C19×#103C2312yes—
330C19×#103C2312yes—
331C19×#103C2312yes—
332C19×#103C2312yes—
333C19×#103C2312yes—
334C19×#103C2312yes—
335C19×#103C2312yes—
336C19×#103C2312yes—
337C19×#103C2312yes—
338C19×#102C2312yes—
339C19×#102C2312yes—
340C19×#102C2312yes—
341C19×#102C2312yes—
342C19×#102C2312yes—
343C19×#102C2312yes—
344C19×#102C2312yes—
345C19×C22⋊C8C2312yes—
346C19×C22⋊C8C2312yes—
347C19×C22⋊C8C2312yes—
348C19×C22⋊C8C2312yes—
349C19×#97C2312yes—
350C4×C8×C19C2312yes—
351C24×C19—21no—
352C24×C19C2×D411yescharacteristic
353C24×C19C2×D411yescharacteristic
354#41×C19—24no—
355#41×C19—24no—
356#41×C19—22no—
357#41×C19—22no—
358#41×C19—42no—
359#41×C19—42no—
360#41×C19—44no—
361#41×C19—44no—
362#41×C19—44no—
363C2×Q8×C19—21no—
364C2×Q8×C19—21no—
365C2×Q8×C19—22no—
366C2×Q8×C19—22no—
367C2×Q8×C19—21no—
368C2×Q8×C19—21no—
369C2×Q8×C19—22no—
370C2×Q8×C19—24no—
371C2×Q8×C19—24no—
372C2×Q8×C19—22no—
373C2×Q8×C19—22no—
374C2×Q8×C19—44no—
375C2×Q8×C19—42no—
376C2×Q8×C19—42no—
377C2×Q8×C19—44no—
378C2×Q8×C19—44no—
379C2×Q8×C19#4114yescomplemented
380C2×Q8×C19C2411yescharacteristic
381C2×Q8×C19C2412yes—
382C2×Q8×C19C2412yes—
383C2×D4×C19—21no—
384C2×D4×C19—21no—
385C2×D4×C19—21no—
386C2×D4×C19—22no—
387C2×D4×C19—22no—
388C2×D4×C19—22no—
389C2×D4×C19—22no—
390C2×D4×C19—21no—
391C2×D4×C19—21no—
392C2×D4×C19—21no—
393C2×D4×C19—22no—
394C2×D4×C19—22no—
395C2×D4×C19—44no—
396C2×D4×C19—42no—
397C2×D4×C19—44no—
398C2×D4×C19C2×D411yescharacteristic
399C2×D4×C19C2×D411yescharacteristic
400C2×D4×C19C2×D411yescharacteristic
401C2×D4×C19C2×D411yescharacteristic
402C2×D4×C19C2411yescharacteristic
403C2×D4×C19C2412yes—
404C22×C4×C19—21no—
405C22×C4×C19—22no—
406C22×C4×C19—22no—
407C22×C4×C19—22no—
408C22×C4×C19—22no—
409C22×C4×C19—21no—
410C22×C4×C19—21no—
411C22×C4×C19—21no—
412C22×C4×C19—21no—
413C22×C4×C19—22no—
414C22×C4×C19—22no—
415C22×C4×C19—21no—
416C22×C4×C19—21no—
417C22×C4×C19—21no—
418C22×C4×C19—21no—
419C22×C4×C19—22no—
420C22×C4×C19—22no—
421C22×C4×C19—21no—
422C22×C4×C19—44no—
423C22×C4×C19—44no—
424C22×C4×C19C2×D411yescharacteristic
425C22×C4×C19C2×D411yescharacteristic
426C22×C4×C19C2×D411yescharacteristic
427C22×C4×C19C2×D411yescharacteristic
428C22×C4×C19C2×D411yescharacteristic
429C22×C4×C19C2×D411yescharacteristic
430C22×C4×C19C2×D411yescharacteristic
431C22×C4×C19C2×D411yescharacteristic
432C22×C4×C19C2411yescharacteristic
433C22×C4×C19C2411yescharacteristic
434C22×C4×C19C2411yescharacteristic
435C22×C4×C19C2411yescharacteristic
436C22×C4×C19C2411yescharacteristic
437Q16×C19—24no—
438Q16×C19—42no—
439SD16×C19—24no—
440SD16×C19—42no—
441SD16×C19—42no—
442D8×C19—42no—
443M16×C19—22no—
444M16×C19—22no—
445M16×C19—22no—
446M16×C19—22no—
447M16×C19—42no—
448M16×C19—42no—
449C2×C8×C19—42no—
450C2×C8×C19—42no—
451C2×C8×C19C2412yes—
452C2×C8×C19C2412yes—
453C2×C8×C19C2412yes—
454C2×C8×C19C2412yes—
455C4⋊C4×C19—22no—
456C4⋊C4×C19—22no—
457C4⋊C4×C19—22no—
458C4⋊C4×C19—22no—
459C4⋊C4×C19—21no—
460C4⋊C4×C19—21no—
461C4⋊C4×C19—21no—
462C4⋊C4×C19—21no—
463C4⋊C4×C19—21no—
464C4⋊C4×C19—21no—
465C4⋊C4×C19—21no—
466C4⋊C4×C19—21no—
467C4⋊C4×C19—21no—
468C4⋊C4×C19—21no—
469C4⋊C4×C19—21no—
470C4⋊C4×C19—21no—
471C4⋊C4×C19—21no—
472C4⋊C4×C19—21no—
473C4⋊C4×C19—21no—
474C4⋊C4×C19—21no—
475C4⋊C4×C19—21no—
476C4⋊C4×C19C2×D411yescharacteristic
477C4⋊C4×C19C2×D411yescharacteristic
478C4⋊C4×C19C2×D411yescharacteristic
479C4⋊C4×C19C2×D411yescharacteristic
480C4⋊C4×C19C2411yescharacteristic
481C4⋊C4×C19C2411yescharacteristic
482C4⋊C4×C19C2411yescharacteristic
483C4⋊C4×C19C2411yescharacteristic
484C4⋊C4×C19C2411yescharacteristic
485C4⋊C4×C19C2411yescharacteristic
486C4⋊C4×C19C2412yes—
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—22no—
495C22⋊C4×C19—22no—
496C22⋊C4×C19—21no—
497C22⋊C4×C19—21no—
498C22⋊C4×C19—21no—
499C22⋊C4×C19—21no—
500C22⋊C4×C19—22no—
501C22⋊C4×C19—22no—
502C22⋊C4×C19—22no—
503C22⋊C4×C19—22no—
504C22⋊C4×C19—22no—
505C22⋊C4×C19—22no—
506C22⋊C4×C19—21no—
507C22⋊C4×C19—21no—
508C22⋊C4×C19—21no—
509C22⋊C4×C19—21no—
510C22⋊C4×C19—21no—
511C22⋊C4×C19—21no—
512C22⋊C4×C19C2×D411yescharacteristic
513C22⋊C4×C19C2×D411yescharacteristic
514C22⋊C4×C19C2×D411yescharacteristic
515C22⋊C4×C19C2×D411yescharacteristic
516C22⋊C4×C19C2×D411yescharacteristic
517C22⋊C4×C19C2×D411yescharacteristic
518C22⋊C4×C19C2×D411yescharacteristic
519C22⋊C4×C19C2×D411yescharacteristic
520C42×C19—21no—
521C42×C19—21no—
522C42×C19—21no—
523C42×C19—21no—
524C42×C19—21no—
525C42×C19—21no—
526C42×C19—21no—
527C42×C19—21no—
528C42×C19—22no—
529C42×C19—22no—
530C42×C19—21no—
531C42×C19C2×D411yescharacteristic
532C42×C19C2×D411yescharacteristic
533C42×C19C2411yescharacteristic
534C42×C19C2411yescharacteristic
535#61158C1911yesmaximal, characteristic, direct product factor, Sylow
536C23×C19—22no—
537C23×C19—22no—
538C23×C19—22no—
539C23×C19—21no—
540C23×C19—22no—
541C23×C19—41no—
542C23×C19—41no—
543C23×C19—41no—
544C23×C19—42no—
545C23×C19—42no—
546C23×C19—42no—
547C23×C19C22×D411yescharacteristic
548C23×C19C22×D411yescharacteristic
549C23×C19C22×D411yescharacteristic
550C23×C19C22×D411yescharacteristic
551C23×C19C22×D411yescharacteristic
552Q8×C19—24no—
553Q8×C19—22no—
554Q8×C19—21no—
555Q8×C19—22no—
556Q8×C19—21no—
557Q8×C19—22no—
558Q8×C19—44no—
559Q8×C19—44no—
560Q8×C19—42no—
561Q8×C19—42no—
562Q8×C19—81no—
563Q8×C19C2×#4114yes—
564D4×C19—22no—
565D4×C19—22no—
566D4×C19—21no—
567D4×C19—22no—
568D4×C19—21no—
569D4×C19—22no—
570D4×C19—41no—
571D4×C19—41no—
572D4×C19—44no—
573D4×C19—44no—
574D4×C19—44no—
575D4×C19—42no—
576D4×C19—42no—
577D4×C19—44no—
578D4×C19—42no—
579D4×C19—42no—
580D4×C19—81no—
581D4×C19—81no—
582C2×C4×C19—22no—
583C2×C4×C19—22no—
584C2×C4×C19—24no—
585C2×C4×C19—22no—
586C2×C4×C19—22no—
587C2×C4×C19—22no—
588C2×C4×C19—22no—
589C2×C4×C19—22no—
590C2×C4×C19—21no—
591C2×C4×C19—21no—
592C2×C4×C19—21no—
593C2×C4×C19—21no—
594C2×C4×C19—21no—
595C2×C4×C19—21no—
596C2×C4×C19—21no—
597C2×C4×C19—21no—
598C2×C4×C19—21no—
599C2×C4×C19—21no—
600C2×C4×C19—21no—
601C2×C4×C19—22no—
602C2×C4×C19—21no—
603C2×C4×C19—21no—
604C2×C4×C19—21no—
605C2×C4×C19—21no—
606C2×C4×C19—22no—
607C2×C4×C19—41no—
608C2×C4×C19—41no—
609C2×C4×C19—44no—
610C2×C4×C19—44no—
611C2×C4×C19—44no—
612C2×C4×C19—44no—
613C2×C4×C19—42no—
614C2×C4×C19—42no—
615C2×C4×C19—42no—
616C2×C4×C19—42no—
617C2×C4×C19—42no—
618C2×C4×C19—42no—
619C2×C4×C19—81no—
620C2×C4×C19—81no—
621C2×C4×C19—81no—
622C2×C4×C19C22×D411yescharacteristic
623C2×C4×C19C22×D411yescharacteristic
624C2×C4×C19C22×D411yescharacteristic
625C2×C4×C19C22×D411yescharacteristic
626C2×C4×C19C22×D411yescharacteristic
627C2×C4×C19C22×D411yescharacteristic
628C2×C4×C19C22×D411yescharacteristic
629C2×C4×C19C22×D411yescharacteristic
630C2×C4×C19C22×D411yescharacteristic
631C2×C4×C19C2×#4112yes—
632C2×C4×C19H(5,𝔽2)12yes—
633C2×C4×C19C2511yescharacteristic
634C8×C19—22no—
635C8×C19—22no—
636C8×C19—22no—
637C8×C19—22no—
638#3475C2×C1911yescharacteristic, complemented
639C2×#548C2×C1911yescharacteristic, complemented
640#3327C2×C1912yescomplemented
641#3326C2×C1912yescomplemented
642#3321C2×C1912yescomplemented
643#3316C2×C1912yescomplemented
644#3313C2×C1912yescomplemented
645#3308C2×C1912yescomplemented
646#3301C2×C1912yescomplemented
647#3300C2×C1912yescomplemented
648#3140C2×C1911yescharacteristic, complemented
649#3095C2×C1911yescharacteristic, complemented
650#3094C2×C1911yescharacteristic, complemented
651#3078C2×C1911yescharacteristic, complemented
652#3056C2×C1911yescharacteristic, complemented
653#3055C2×C1911yescharacteristic, complemented
654#3040C2×C1911yescharacteristic, complemented
655#3005C2×C1911yescharacteristic, complemented
656#3004C2×C1911yescharacteristic, complemented
657C4×#137C2×C1911yescharacteristic, complemented
658D4×M16C2×C1911yescharacteristic, complemented
659#2896C2×C1911yescharacteristic, complemented
660C2×#419C2×C1911yescharacteristic, complemented
661C22×C19—21no—
662C22×C19—21no—
663C22×C19—21no—
664C22×C19—21no—
665C22×C19—21no—
666C22×C19—21no—
667C22×C19—21no—
668C22×C19—21no—
669C22×C19—21no—
670C22×C19—21no—
671C22×C19—21no—
672C22×C19—21no—
673C22×C19—21no—
674C22×C19—44no—
675C22×C19—41no—
676C22×C19—42no—
677C22×C19—42no—
678C22×C19—41no—
679C22×C19—41no—
680C22×C19—42no—
681C22×C19—82no—
682C22×C19—84no—
683C22×C19#54612yes—
684C22×C19#57512yes—
685C22×C19C23×D411yescharacteristic
686C4×C19—21no—
687C4×C19—21no—
688C4×C19—21no—
689C4×C19—21no—
690C4×C19—21no—
691C4×C19—21no—
692C4×C19—24no—
693C4×C19—21no—
694C4×C19—21no—
695C4×C19—41no—
696C4×C19—41no—
697C4×C19—41no—
698C4×C19—42no—
699C4×C19—41no—
700C4×C19—41no—
701C4×C19—42no—
702C4×C19—41no—
703C4×C19—41no—
704C4×C19#54612yes—
705C4×C19C22×#4111yescharacteristic
706C4×C19C2×H(5,𝔽2)11yescharacteristic
707C22×#41C22×C1911yescharacteristic
708C23×Q8C22×C1911yescharacteristic
709C2×#137C22×C1911yescharacteristic
710C2×#137C22×C1911yescharacteristic
711C2×AGL(1,ℤ/8)C22×C1911yescharacteristic
712C22×M16C22×C1911yescharacteristic
713C22×M16C22×C1911yescharacteristic
714#556C22×C1911yescharacteristic, complemented
715#555C22×C1911yescharacteristic, complemented
716#554C22×C1911yescharacteristic, complemented
717#553C22×C1911yescharacteristic, complemented
718#553C22×C1911yescharacteristic, complemented
719#552—21no—
720#552C22×C1911yescharacteristic, complemented
721#552C22×C1911yescharacteristic, complemented
722#551—21no—
723#551—21no—
724#548—21no—
725#548—21no—
726#548—21no—
727#548—21no—
728#548C22×C1912yes—
729#548C22×C1912yes—
730#548C22×C1912yes—
731#548C22×C1912yes—
732#547C22×C1911yescharacteristic, complemented
733#546—21no—
734#533C22×C1911yescharacteristic
735#529—21no—
736#529—21no—
737#529—21no—
738C2×#124—21no—
739C2×#124C22×C1911yescharacteristic
740#525C22×C1911yescharacteristic
741#525C22×C1911yescharacteristic
742C2×C22⋊Q8—21no—
743C2×C22⋊Q8C22×C1911yescharacteristic
744C2×#121—21no—
745C2×#121C22×C1911yescharacteristic
746C4×#41—21no—
747C4×#41C22×C1911yescharacteristic
748C2×C4×Q8C22×C1911yescharacteristic
749C2×C4×D4—21no—
750C2×C4×D4C22×C1911yescharacteristic
751C2×#117C22×C1911yescharacteristic
752C2×#117C22×C1911yescharacteristic
753#489C22×C1912yescomplemented
754#489C22×C1912yescomplemented
755#488C22×C1912yescomplemented
756#488C22×C1912yescomplemented
757#485C22×C1912yescomplemented
758#485C22×C1912yescomplemented
759#484C22×C1912yescomplemented
760#483C22×C1912yescomplemented
761#482C22×C1912yescomplemented
762#482C22×C1912yescomplemented
763#481C22×C1912yescomplemented
764#480C22×C1912yescomplemented
765#479C22×C1912yescomplemented
766#479C22×C1912yescomplemented
767#477C22×C1912yescomplemented
768#475C22×C1912yescomplemented
769#470C22×C1912yescomplemented
770#469C22×C1912yescomplemented
771#468C22×C1912yescomplemented
772#468C22×C1912yescomplemented
773#467C22×C1912yescomplemented
774#466C22×C1912yescomplemented
775#465C22×C1912yescomplemented
776#465C22×C1912yescomplemented
777#464C22×C1912yescomplemented
778#464C22×C1912yescomplemented
779#463C22×C1912yescomplemented
780#463C22×C1912yescomplemented
781#452C22×C1912yescomplemented
782#452C22×C1912yescomplemented
783#451C22×C1912yescomplemented
784#451C22×C1912yescomplemented
785#449C22×C1912yescomplemented
786#449C22×C1912yescomplemented
787#448C22×C1912yescomplemented
788#448C22×C1912yescomplemented
789#441C22×C1912yescomplemented
790#440C22×C1912yescomplemented
791C4×Q16C22×C1912yescomplemented
792C4×SD16C22×C1912yescomplemented
793#436C22×C1912yescomplemented
794#435C22×C1912yescomplemented
795#435C22×C1912yescomplemented
796C8×D4C22×C1912yescomplemented
797#428C22×C1911yescharacteristic
798#428C22×C1911yescharacteristic
799#428C22×C1911yescharacteristic
800#423C22×C1911yescharacteristic
801#419C22×C1911yescharacteristic
802#419C22×C1911yescharacteristic
803#419C22×C1911yescharacteristic
804#419C22×C1911yescharacteristic
805#419C22×C1911yescharacteristic
806#419C22×C1911yescharacteristic
807#419C22×C1912yescomplemented
808#419C22×C1912yescomplemented
809#418C22×C1911yescharacteristic
810#418C22×C1911yescharacteristic
811#418C22×C1911yescharacteristic
812#417C22×C1911yescharacteristic
813#417C22×C1912yescomplemented
814#417C22×C1912yescomplemented
815#416C22×C1912yescomplemented
816#416C22×C1912yescomplemented
817C2×#103C22×C1912yescomplemented
818C2×#103C22×C1912yescomplemented
819#407C22×C1911yescharacteristic
820#407C22×C1911yescharacteristic
821C4×M16C22×C1911yescharacteristic
822C2×C19—22no—
823C2×C19—22no—
824C2×C19—41no—
825C2×C19—41no—
826C2×C19—41no—
827C2×C19—81no—
828C2×C19—82no—
829C2×C19C2×#54611yescharacteristic
830C2×C19C2×#57511yescharacteristic
831C2×C19#358611yescharacteristic
832C2×#41—21no—
833C2×#41—21no—
834C2×#41—21no—
835C2×#41—24no—
836C2×#41—42no—
837C2×#41C23×C1911yescharacteristic
838C2×#41C23×C1912yes—
839C2×#41C23×C1912yes—
840C22×Q8—21no—
841C22×Q8—21no—
842C22×Q8—21no—
843C22×Q8—24no—
844C22×Q8—42no—
845C22×Q8C23×C1911yescharacteristic
846C22×Q8C23×C1912yes—
847C22×Q8C23×C1912yes—
848C22×Q8C23×C1911yescharacteristic
849C22×D4—21no—
850C22×D4—21no—
851C22×D4D4×C1911yescharacteristic
852C22×D4C23×C1911yescharacteristic
853C23×C4—21no—
854C23×C4—21no—
855C23×C4C23×C1911yescharacteristic
856C23×C4C23×C1911yescharacteristic
857#137—24no—
858#137—42no—
859AGL(1,ℤ/8)—42no—
860C2×Q16C23×C1912yes—
861C2×Q16C23×C1912yes—
862C2×SD16C23×C1912yes—
863C2×SD16C23×C1912yes—
864C2×SD16C23×C1912yes—
865C2×D8C23×C1912yes—
866C2×M16—42no—
867C2×M16—42no—
868C2×M16C23×C1911yescharacteristic
869C2×M16C23×C1911yescharacteristic
870C2×M16C23×C1911yescharacteristic
871C2×M16C23×C1911yescharacteristic
872C2×M16C23×C1912yes—
873C2×M16C23×C1912yes—
874C22×C8C23×C1912yes—
875C22×C8C23×C1912yes—
876C4⋊Q8C23×C1911yescharacteristic
877C4⋊Q8C23×C1911yescharacteristic
878#126—21no—
879#126—21no—
880#126—21no—
881#126—21no—
882#126—21no—
883#126—21no—
884#125—21no—
885#125—21no—
886#125—21no—
887#125C23×C1911yescharacteristic
888#125C23×C1911yescharacteristic
889#124—21no—
890#124—22no—
891#124—22no—
892#124—22no—
893#124—22no—
894#124—21no—
895#124—21no—
896#124—21no—
897#124—21no—
898#124C23×C1912yes—
899#124C23×C1912yes—
900#123—21no—
901#123—21no—
902#123—21no—
903#123—21no—
904#123—21no—
905#123—21no—
906#123—21no—
907#123—21no—
908C22⋊Q8—21no—
909C22⋊Q8—21no—
910C22⋊Q8—21no—
911C22⋊Q8—21no—
912C22⋊Q8—22no—
913C22⋊Q8—22no—
914C22⋊Q8—22no—
915C22⋊Q8—22no—
916C22⋊Q8—21no—
917C22⋊Q8—21no—
918C22⋊Q8—21no—
919C22⋊Q8C23×C1912yes—
920C22⋊Q8C23×C1912yes—
921C22⋊Q8C23×C1911yescharacteristic
922C22⋊Q8C23×C1911yescharacteristic
923C22⋊Q8C23×C1911yescharacteristic
924C22⋊Q8C23×C1911yescharacteristic
925#121—22no—
926#121—22no—
927#121—22no—
928#121—22no—
929#121—21no—
930#121—21no—
931#121—21no—
932#121—21no—
933#121—21no—
934#121C23×C1912yes—
935#121C23×C1912yes—
936#121C23×C1911yescharacteristic
937#121C23×C1911yescharacteristic
938#121C23×C1911yescharacteristic
939#121C23×C1911yescharacteristic
940#120—21no—
941#120—21no—
942C4×Q8—21no—
943C4×Q8—21no—
944C4×Q8—21no—
945C4×Q8—21no—
946C4×Q8—21no—
947C4×Q8C23×C1912yes—
948C4×Q8C23×C1912yes—
949C4×Q8C23×C1911yescharacteristic
950C4×Q8C23×C1911yescharacteristic
951C4×D4—21no—
952C4×D4—21no—
953C4×D4—21no—
954C4×D4—21no—
955C4×D4—21no—
956C4×D4—21no—
957C4×D4—21no—
958C4×D4—22no—
959C4×D4—22no—
960C4×D4—22no—
961C4×D4—22no—
962C4×D4—21no—
963C4×D4—21no—
964C4×D4D4×C1911yescharacteristic
965C4×D4D4×C1911yescharacteristic
966C4×D4D4×C1911yescharacteristic
967C4×D4D4×C1911yescharacteristic
968C4×D4C23×C1911yescharacteristic
969C4×D4C23×C1911yescharacteristic
970C4×D4C23×C1911yescharacteristic
971C4×D4C23×C1911yescharacteristic
972C4×D4C23×C1911yescharacteristic
973C4×D4C23×C1911yescharacteristic
974#117—21no—
975#117—21no—
976#117—21no—
977#117—21no—
978#117—21no—
979#117—21no—
980#117—21no—
981#117—21no—
982#117C23×C1911yescharacteristic
983#117C23×C1911yescharacteristic
984#117C23×C1911yescharacteristic
985#117C23×C1911yescharacteristic
986#117C23×C1911yescharacteristic
987#117C23×C1911yescharacteristic
988#117C23×C1911yescharacteristic
989C2×C4⋊C4—21no—
990C2×C4⋊C4—21no—
991C2×C4⋊C4D4×C1911yescharacteristic
992C2×C4⋊C4C23×C1911yescharacteristic
993C2×C4⋊C4C23×C1911yescharacteristic
994C2×C4⋊C4C23×C1911yescharacteristic
995C2×C4⋊C4C23×C1911yescharacteristic
996C2×C4⋊C4C23×C1911yescharacteristic
997C2×C22⋊C4—21no—
998C2×C22⋊C4—21no—
999C2×C22⋊C4—21no—
1000C2×C22⋊C4—21no—
1001C2×C22⋊C4—21no—
1002C2×C22⋊C4—21no—
1003C2×C22⋊C4D4×C1911yescharacteristic
1004C2×C22⋊C4D4×C1911yescharacteristic
1005C2×C42—21no—
1006C2×C42—21no—
1007C2×C42—21no—
1008C2×C42—21no—
1009C2×C42C23×C1911yescharacteristic
1010#107C23×C1912yes—
1011#107C23×C1912yes—
1012#107C23×C1912yes—
1013#106C23×C1912yes—
1014#106C23×C1912yes—
1015#106C23×C1912yes—
1016C4⋊C8C23×C1912yes—
1017C4⋊C8C23×C1912yes—
1018#103C23×C1912yes—
1019#103C23×C1912yes—
1020#103C23×C1912yes—
1021#103C23×C1912yes—
1022#103C23×C1912yes—
1023#103C23×C1912yes—
1024#103C23×C1912yes—
1025#103C23×C1912yes—
1026#103C23×C1912yes—
1027#103C23×C1912yes—
1028#103C23×C1912yes—
1029#103C23×C1912yes—
1030#103C23×C1912yes—
1031#102C23×C1912yes—
1032#102C23×C1912yes—
1033#102C23×C1912yes—
1034#102C23×C1912yes—
1035#102C23×C1912yes—
1036#102C23×C1912yes—
1037#102C23×C1912yes—
1038C22⋊C8C23×C1912yes—
1039C22⋊C8C23×C1912yes—
1040C22⋊C8C23×C1912yes—
1041C22⋊C8C23×C1912yes—
1042#97C23×C1912yes—
1043C4×C8C23×C1912yes—
1044C19#6115811yescharacteristic, direct product factor, Sylow
1045C24—21no—
1046C24C2×D4×C1911yescharacteristic
1047C24C2×D4×C1911yescharacteristic
1048#41—24no—
1049#41—24no—
1050#41—22no—
1051#41—22no—
1052#41—42no—
1053#41—42no—
1054#41—44no—
1055#41—44no—
1056#41—44no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—22no—
1060C2×Q8—22no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—22no—
1064C2×Q8—24no—
1065C2×Q8—24no—
1066C2×Q8—22no—
1067C2×Q8—22no—
1068C2×Q8—44no—
1069C2×Q8—42no—
1070C2×Q8—42no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×Q8#41×C1914yescomplemented
1074C2×Q8C24×C1912yes—
1075C2×Q8C24×C1911yescharacteristic
1076C2×Q8C24×C1912yes—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—22no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—44no—
1092C2×D4C2×D4×C1911yescharacteristic
1093C2×D4C2×D4×C1911yescharacteristic
1094C2×D4C2×D4×C1911yescharacteristic
1095C2×D4C2×D4×C1911yescharacteristic
1096C2×D4C24×C1912yes—
1097C2×D4C24×C1911yescharacteristic
1098C22×C4—21no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—21no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4C2×D4×C1911yescharacteristic
1119C22×C4C2×D4×C1911yescharacteristic
1120C22×C4C2×D4×C1911yescharacteristic
1121C22×C4C2×D4×C1911yescharacteristic
1122C22×C4C2×D4×C1911yescharacteristic
1123C22×C4C2×D4×C1911yescharacteristic
1124C22×C4C2×D4×C1911yescharacteristic
1125C22×C4C2×D4×C1911yescharacteristic
1126C22×C4C24×C1911yescharacteristic
1127C22×C4C24×C1911yescharacteristic
1128C22×C4C24×C1911yescharacteristic
1129C22×C4C24×C1911yescharacteristic
1130C22×C4C24×C1911yescharacteristic
1131Q16—24no—
1132Q16—42no—
1133SD16—24no—
1134SD16—42no—
1135SD16—42no—
1136D8—42no—
1137M16—22no—
1138M16—22no—
1139M16—22no—
1140M16—22no—
1141M16—42no—
1142M16—42no—
1143C2×C8—42no—
1144C2×C8—42no—
1145C2×C8C24×C1912yes—
1146C2×C8C24×C1912yes—
1147C2×C8C24×C1912yes—
1148C2×C8C24×C1912yes—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
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⋊C4—21no—
1170C4⋊C4C2×D4×C1911yescharacteristic
1171C4⋊C4C2×D4×C1911yescharacteristic
1172C4⋊C4C2×D4×C1911yescharacteristic
1173C4⋊C4C2×D4×C1911yescharacteristic
1174C4⋊C4C24×C1911yescharacteristic
1175C4⋊C4C24×C1911yescharacteristic
1176C4⋊C4C24×C1911yescharacteristic
1177C4⋊C4C24×C1911yescharacteristic
1178C4⋊C4C24×C1911yescharacteristic
1179C4⋊C4C24×C1911yescharacteristic
1180C4⋊C4C24×C1912yes—
1181C22⋊C4—21no—
1182C22⋊C4—21no—
1183C22⋊C4—21no—
1184C22⋊C4—21no—
1185C22⋊C4—21no—
1186C22⋊C4—21no—
1187C22⋊C4—21no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—21no—
1191C22⋊C4—21no—
1192C22⋊C4—21no—
1193C22⋊C4—21no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—21no—
1201C22⋊C4—21no—
1202C22⋊C4—21no—
1203C22⋊C4—21no—
1204C22⋊C4—21no—
1205C22⋊C4—21no—
1206C22⋊C4C2×D4×C1911yescharacteristic
1207C22⋊C4C2×D4×C1911yescharacteristic
1208C22⋊C4C2×D4×C1911yescharacteristic
1209C22⋊C4C2×D4×C1911yescharacteristic
1210C22⋊C4C2×D4×C1911yescharacteristic
1211C22⋊C4C2×D4×C1911yescharacteristic
1212C22⋊C4C2×D4×C1911yescharacteristic
1213C22⋊C4C2×D4×C1911yescharacteristic
1214C42—21no—
1215C42—21no—
1216C42—21no—
1217C42—21no—
1218C42—21no—
1219C42—21no—
1220C42—21no—
1221C42—21no—
1222C42—22no—
1223C42—22no—
1224C42—21no—
1225C42C2×D4×C1911yescharacteristic
1226C42C2×D4×C1911yescharacteristic
1227C42C24×C1911yescharacteristic
1228C42C24×C1911yescharacteristic
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—21no—
1233C23—22no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—42no—
1238C23—42no—
1239C23—42no—
1240C23C22×D4×C1911yescharacteristic
1241C23C22×D4×C1911yescharacteristic
1242C23C22×D4×C1911yescharacteristic
1243C23C22×D4×C1911yescharacteristic
1244C23C22×D4×C1911yescharacteristic
1245Q8—24no—
1246Q8—22no—
1247Q8—21no—
1248Q8—22no—
1249Q8—21no—
1250Q8—22no—
1251Q8—44no—
1252Q8—44no—
1253Q8—42no—
1254Q8—42no—
1255Q8—81no—
1256Q8C2×#41×C1914yes—
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×C1911yescharacteristic
1316C2×C4C22×D4×C1911yescharacteristic
1317C2×C4C22×D4×C1911yescharacteristic
1318C2×C4C22×D4×C1911yescharacteristic
1319C2×C4C22×D4×C1911yescharacteristic
1320C2×C4C22×D4×C1911yescharacteristic
1321C2×C4C22×D4×C1911yescharacteristic
1322C2×C4C22×D4×C1911yescharacteristic
1323C2×C4C22×D4×C1911yescharacteristic
1324C2×C4C2×#41×C1912yes—
1325C2×C4C19×H(5,𝔽2)12yes—
1326C2×C4C25×C1911yescharacteristic
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—42no—
1346C22—41no—
1347C22—41no—
1348C22—42no—
1349C22—41no—
1350C22—42no—
1351C22—82no—
1352C22—84no—
1353C22C19×#54612yes—
1354C22C19×#57512yes—
1355C22C23×D4×C1911yescharacteristic
1356C4—21no—
1357C4—21no—
1358C4—21no—
1359C4—21no—
1360C4—24no—
1361C4—21no—
1362C4—21no—
1363C4—21no—
1364C4—21no—
1365C4—42no—
1366C4—41no—
1367C4—41no—
1368C4—42no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4C19×#54612yes—
1375C4C22×#41×C1911yescharacteristic
1376C4C2×C19×H(5,𝔽2)11yescharacteristic
1377C2—22no—
1378C2—22no—
1379C2—41no—
1380C2—41no—
1381C2—41no—
1382C2—82no—
1383C2—81no—
1384C2C2×C19×#54611yescharacteristic
1385C2C2×C19×#57511yescharacteristic
1386C2C19×#358611yescharacteristic
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. C19×#3475C2semidirect
2. C2×C19×#548C2semidirect
3. C19×#3327C2semidirect
4. C19×#3326C2semidirect
5. C19×#3321C2semidirect
6. C19×#3316C2semidirect
7. C19×#3313C2semidirect
8. C19×#3308C2semidirect
9. C19×#3301C2semidirect
10. C19×#3300C2semidirect
11. C19×#3140C2semidirect
12. C19×#3095C2semidirect
13. C19×#3094C2semidirect
14. C19×#3078C2semidirect
15. C19×#3056C2semidirect
16. C19×#3055C2semidirect
17. C19×#3040C2semidirect
18. C19×#3005C2semidirect
19. C19×#3004C2semidirect
20. C4×C19×#137C2semidirect
21. D4×M16×C19C2semidirect
22. C19×#2896C2semidirect
23. C2×C19×#419C2semidirect
31. C19×#556C22semidirect
32. C19×#555C22semidirect
33. C19×#554C22semidirect
34. C19×#553C22semidirect
35. C19×#553C22semidirect
37. C19×#552C22semidirect
38. C19×#552C22semidirect
49. C19×#547C22semidirect
70. C19×#489C22semidirect
71. C19×#489C22semidirect
72. C19×#488C22semidirect
73. C19×#488C22semidirect
74. C19×#485C22semidirect
75. C19×#485C22semidirect
76. C19×#484C22semidirect
77. C19×#483C22semidirect
78. C19×#482C22semidirect
79. C19×#482C22semidirect
80. C19×#481C22semidirect
81. C19×#480C22semidirect
82. C19×#479C22semidirect
83. C19×#479C22semidirect
84. C19×#477C22semidirect
85. C19×#475C22semidirect
86. C19×#470C22semidirect
87. C19×#469C22semidirect
88. C19×#468C22semidirect
89. C19×#468C22semidirect
90. C19×#467C22semidirect
91. C19×#466C22semidirect
92. C19×#465C22semidirect
93. C19×#465C22semidirect
94. C19×#464C22semidirect
95. C19×#464C22semidirect
96. C19×#463C22semidirect
97. C19×#463C22semidirect
98. C19×#452C22semidirect
99. C19×#452C22semidirect
100. C19×#451C22semidirect
101. C19×#451C22semidirect
102. C19×#449C22semidirect
103. C19×#449C22semidirect
104. C19×#448C22semidirect
105. C19×#448C22semidirect
106. C19×#441C22semidirect
107. C19×#440C22semidirect
108. C4×Q16×C19C22semidirect
109. C4×SD16×C19C22semidirect
110. C19×#436C22semidirect
111. C19×#435C22semidirect
112. C19×#435C22semidirect
113. C8×D4×C19C22semidirect
124. C19×#419C22semidirect
125. C19×#419C22semidirect
130. C19×#417C22semidirect
131. C19×#417C22semidirect
132. C19×#416C22semidirect
133. C19×#416C22semidirect
134. C2×C19×#103C22semidirect
135. C2×C19×#103C22semidirect
379. C2×Q8×C19#41semidirect
535. #61158C19direct (N × H)
638. #3475C2×C19semidirect
639. C2×#548C2×C19semidirect
640. #3327C2×C19semidirect
641. #3326C2×C19semidirect
642. #3321C2×C19semidirect
643. #3316C2×C19semidirect
644. #3313C2×C19semidirect
645. #3308C2×C19semidirect
646. #3301C2×C19semidirect
647. #3300C2×C19semidirect
648. #3140C2×C19semidirect
649. #3095C2×C19semidirect
650. #3094C2×C19semidirect
651. #3078C2×C19semidirect
652. #3056C2×C19semidirect
653. #3055C2×C19semidirect
654. #3040C2×C19semidirect
655. #3005C2×C19semidirect
656. #3004C2×C19semidirect
657. C4×#137C2×C19semidirect
658. D4×M16C2×C19semidirect
659. #2896C2×C19semidirect
660. C2×#419C2×C19semidirect
714. #556C22×C19semidirect
715. #555C22×C19semidirect
716. #554C22×C19semidirect
717. #553C22×C19semidirect
718. #553C22×C19semidirect
720. #552C22×C19semidirect
721. #552C22×C19semidirect
732. #547C22×C19semidirect
753. #489C22×C19semidirect
754. #489C22×C19semidirect
755. #488C22×C19semidirect
756. #488C22×C19semidirect
757. #485C22×C19semidirect
758. #485C22×C19semidirect
759. #484C22×C19semidirect
760. #483C22×C19semidirect
761. #482C22×C19semidirect
762. #482C22×C19semidirect
763. #481C22×C19semidirect
764. #480C22×C19semidirect
765. #479C22×C19semidirect
766. #479C22×C19semidirect
767. #477C22×C19semidirect
768. #475C22×C19semidirect
769. #470C22×C19semidirect
770. #469C22×C19semidirect
771. #468C22×C19semidirect
772. #468C22×C19semidirect
773. #467C22×C19semidirect
774. #466C22×C19semidirect
775. #465C22×C19semidirect
776. #465C22×C19semidirect
777. #464C22×C19semidirect
778. #464C22×C19semidirect
779. #463C22×C19semidirect
780. #463C22×C19semidirect
781. #452C22×C19semidirect
782. #452C22×C19semidirect
783. #451C22×C19semidirect
784. #451C22×C19semidirect
785. #449C22×C19semidirect
786. #449C22×C19semidirect
787. #448C22×C19semidirect
788. #448C22×C19semidirect
789. #441C22×C19semidirect
790. #440C22×C19semidirect
791. C4×Q16C22×C19semidirect
792. C4×SD16C22×C19semidirect
793. #436C22×C19semidirect
794. #435C22×C19semidirect
795. #435C22×C19semidirect
796. C8×D4C22×C19semidirect
807. #419C22×C19semidirect
808. #419C22×C19semidirect
813. #417C22×C19semidirect
814. #417C22×C19semidirect
815. #416C22×C19semidirect
816. #416C22×C19semidirect
817. C2×#103C22×C19semidirect
818. C2×#103C22×C19semidirect
1044. C19#61158direct (N × H)
1073. C2×Q8#41×C19semidirect

Maximal subgroups

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

subgroupindex
C19×#34752
C2×C19×#5482
C19×#33272
C19×#33262
C19×#33212
C19×#33162
C19×#33132
C19×#33082
C19×#33012
C19×#33002
C19×#31402
C19×#30952
C19×#30942
C19×#30782
C19×#30562
C19×#30552
C19×#30402
C19×#30052
C19×#30042
C4×C19×#1372
D4×M16×C192
C19×#28962
C2×C19×#4192
#6115819