Finite Group Databasebeta

← C19×#36860 #18042819

Subgroups — C19×#36860 #18042819

Order 4864.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2853C211yesmaximal, characteristic, complemented
2C19×#2852C211yesmaximal, characteristic, complemented
3C19×#2803C211yesmaximal, characteristic, complemented
4C19×#2783C211yesmaximal, characteristic, complemented
5C19×#2780C211yesmaximal, characteristic, complemented
6C19×#2778C211yesmaximal, characteristic, complemented
7C19×#2769C211yesmaximal, characteristic, complemented
8C19×#2749C211yesmaximal, characteristic, complemented
9C19×#2749C211yesmaximal, characteristic, complemented
10C19×#2746C211yesmaximal, characteristic, complemented
11C19×#2743C211yesmaximal, characteristic, complemented
12C19×#2743C211yesmaximal, characteristic, complemented
13C19×#2727C211yesmaximal, characteristic, complemented
14C19×#2709C211yesmaximal, characteristic, complemented
15C19×#2701C211yesmaximal, characteristic, complemented
16C19×#2695C211yesmaximal, characteristic, complemented
17C19×#2691C211yesmaximal, characteristic, complemented
18C19×#2673C211yesmaximal, characteristic
19C19×#2636C211yesmaximal, characteristic, complemented
20C19×#2630C211yesmaximal, characteristic, complemented
21C19×#2530C211yesmaximal, characteristic, complemented
22C19×#2528C211yesmaximal, characteristic, complemented
23C19×#2518C211yesmaximal, characteristic, complemented
24C19×#2481C211yesmaximal, characteristic, complemented
25C19×#2468C211yesmaximal, characteristic, complemented
26C19×#2467C211yesmaximal, characteristic, complemented
27C19×#2457C211yesmaximal, characteristic, complemented
28C19×#2443C211yesmaximal, characteristic, complemented
29C19×#2328C211yesmaximal, characteristic, complemented
30C19×#2322C211yesmaximal, characteristic, complemented
31C4×C19×#121C211yesmaximal, characteristic, complemented
32C2×C19×#127C2211yescharacteristic
33C2×C19×#126C2211yescharacteristic
34C2×C19×#126C2211yescharacteristic
35C2×C19×#126C2211yescharacteristic
36C2×C19×#123C2211yescharacteristic
37C2×C19×#123C2211yescharacteristic
38C2×C19×#123C2211yescharacteristic
39C2×C19×#121C2211yescharacteristic
40C2×C19×#121C2211yescharacteristic
41C2×C4×D4×C19C2211yescharacteristic
42C2×C4×D4×C19C2211yescharacteristic
43C2×C4×D4×C19C2211yescharacteristic
44C2×C4×D4×C19C2211yescharacteristic
45C22×C4⋊C4×C19C2211yescharacteristic
46C22×C42×C19C2211yescharacteristic
47C19×#401C2211yescharacteristic
48C19×#400C2211yescharacteristic
49C19×#400C2211yescharacteristic
50C19×#400C2211yescharacteristic
51C19×#400C2211yescharacteristic
52C19×#400C2211yescharacteristic
53C19×#400C2211yescharacteristic
54C19×#400C2211yescharacteristic
55C19×#400C2211yescharacteristic
56C19×#399C2211yescharacteristic
57C19×#399C2211yescharacteristic
58C19×#399C2211yescharacteristic
59C19×#398C2211yescharacteristic
60C19×#398C2211yescharacteristic
61C19×#398C2211yescharacteristic
62C19×#398C2211yescharacteristic
63C19×#398C2211yescharacteristic
64C19×#397C2211yescharacteristic
65C19×#397C2211yescharacteristic
66C19×#397C2211yescharacteristic
67C19×#397C2211yescharacteristic
68C19×#397C2211yescharacteristic
69C19×#397C2211yescharacteristic
70C19×#396C2211yescharacteristic
71C19×#396C2211yescharacteristic
72C19×#396C2211yescharacteristic
73C19×#396C2211yescharacteristic
74C19×#396C2211yescharacteristic
75C19×#396C2211yescharacteristic
76C19×#396C2211yescharacteristic
77C19×#394C2211yescharacteristic
78C19×#394C2211yescharacteristic
79C19×#394C2211yescharacteristic
80C19×#394C2211yescharacteristic
81C19×#394C2211yescharacteristic
82C19×#394C2211yescharacteristic
83C19×#394C2211yescharacteristic
84C19×#394C2211yescharacteristic
85C19×#394C2211yescharacteristic
86C19×#394C2211yescharacteristic
87C19×#394C2211yescharacteristic
88C19×#394C2211yescharacteristic
89C19×#394C2211yescharacteristic
90C19×#394C2211yescharacteristic
91C19×#392C2211yescharacteristic
92C19×#392C2211yescharacteristic
93C19×#392C2211yescharacteristic
94C19×#392C2211yescharacteristic
95C19×#390C2211yescharacteristic
96C19×#390C2211yescharacteristic
97C19×#390C2211yescharacteristic
98C19×#390C2211yescharacteristic
99C19×#389C2211yescharacteristic
100C19×#389C2211yescharacteristic
101C19×#389C2211yescharacteristic
102C19×#389C2211yescharacteristic
103C19×#389C2211yescharacteristic
104C19×#389C2211yescharacteristic
105C19×#388C2211yescharacteristic
106C19×#388C2211yescharacteristic
107C19×#388C2211yescharacteristic
108C19×#388C2211yescharacteristic
109C19×#388C2211yescharacteristic
110C19×#388C2211yescharacteristic
111C19×#388C2211yescharacteristic
112C19×#388C2211yescharacteristic
113C19×#388C2211yescharacteristic
114C19×#388C2211yescharacteristic
115C19×#388C2211yescharacteristic
116C19×#388C2211yescharacteristic
117C19×#388C2211yescharacteristic
118C19×#388C2211yescharacteristic
119C19×#388C2211yescharacteristic
120C19×#388C2211yescharacteristic
121C19×#388C2211yescharacteristic
122C19×#387C2211yescharacteristic
123C19×#387C2211yescharacteristic
124C19×#387C2211yescharacteristic
125C19×#387C2211yescharacteristic
126C19×#387C2211yescharacteristic
127C19×#387C2211yescharacteristic
128C19×#387C2211yescharacteristic
129C19×#387C2211yescharacteristic
130C19×#387C2211yescharacteristic
131C19×#387C2211yescharacteristic
132C19×#387C2211yescharacteristic
133C19×#387C2211yescharacteristic
134C19×#387C2211yescharacteristic
135C19×#387C2211yescharacteristic
136C19×#387C2211yescharacteristic
137C19×#386C2211yescharacteristic
138C19×#386C2211yescharacteristic
139C19×#386C2211yescharacteristic
140C19×#386C2211yescharacteristic
141C19×#386C2211yescharacteristic
142C19×#386C2211yescharacteristic
143C19×#386C2211yescharacteristic
144C19×#386C2211yescharacteristic
145C19×#386C2211yescharacteristic
146C19×#386C2211yescharacteristic
147C19×#386C2211yescharacteristic
148C19×#386C2211yescharacteristic
149C19×#386C2211yescharacteristic
150C19×#386C2211yescharacteristic
151C19×#386C2211yescharacteristic
152C19×#386C2211yescharacteristic
153C19×#386C2211yescharacteristic
154C19×#386C2211yescharacteristic
155C19×#386C2211yescharacteristic
156C19×#386C2211yescharacteristic
157C19×#386C2211yescharacteristic
158C19×#385C2211yescharacteristic
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic
165C19×#385C2211yescharacteristic
166C19×#385C2211yescharacteristic
167C19×#385C2211yescharacteristic
168C19×#385C2211yescharacteristic
169C19×#383C2211yescharacteristic
170C19×#383C2211yescharacteristic
171C19×#382C2211yescharacteristic
172C19×#382C2211yescharacteristic
173C19×#381C2211yescharacteristic
174C19×#381C2211yescharacteristic
175C19×#381C2211yescharacteristic
176C19×#381C2211yescharacteristic
177C19×#380C2211yescharacteristic
178C19×#380C2211yescharacteristic
179C19×#380C2211yescharacteristic
180C19×#380C2211yescharacteristic
181C19×#380C2211yescharacteristic
182C4×C4⋊C4×C19C2211yescharacteristic
183C4×C22⋊C4×C19C2211yescharacteristic
184C4×C22⋊C4×C19C2211yescharacteristic
185C4×C22⋊C4×C19C2211yescharacteristic
186C19×#376C2211yescharacteristic
187C22×D4×C19C2311yescharacteristic
188C22×D4×C19C2311yescharacteristic
189C22×D4×C19C2311yescharacteristic
190C22×D4×C19C2311yescharacteristic
191C22×D4×C19C2311yescharacteristic
192C22×D4×C19C2311yescharacteristic
193C22×D4×C19C2311yescharacteristic
194C22×D4×C19C2311yescharacteristic
195C22×D4×C19C2311yescharacteristic
196C22×D4×C19C2311yescharacteristic
197C23×C4×C19C2311yescharacteristic
198C23×C4×C19C2311yescharacteristic
199C23×C4×C19C2311yescharacteristic
200C23×C4×C19C2311yescharacteristic
201C23×C4×C19C2311yescharacteristic
202C23×C4×C19C2311yescharacteristic
203C23×C4×C19C2311yescharacteristic
204C23×C4×C19C2311yescharacteristic
205C23×C4×C19C2311yescharacteristic
206C19×#127—24no—
207C19×#126—42no—
208C19×#126—42no—
209C19×#126—42no—
210C19×#123—24no—
211C19×#123—42no—
212C19×#123—42no—
213C19×#121—24no—
214C19×#121—42no—
215C4×D4×C19—42no—
216C4×D4×C19—42no—
217C4×D4×C19—42no—
218C4×D4×C19—42no—
219C2×C4⋊C4×C19—42no—
220C2×C4⋊C4×C19C2311yescharacteristic
221C2×C4⋊C4×C19C2311yescharacteristic
222C2×C4⋊C4×C19C2311yescharacteristic
223C2×C4⋊C4×C19C2311yescharacteristic
224C2×C4⋊C4×C19C2311yescharacteristic
225C2×C4⋊C4×C19C2311yescharacteristic
226C2×C4⋊C4×C19C2311yescharacteristic
227C2×C4⋊C4×C19C2311yescharacteristic
228C2×C4⋊C4×C19C2311yescharacteristic
229C2×C4⋊C4×C19C2311yescharacteristic
230C2×C4⋊C4×C19C2311yescharacteristic
231C2×C4⋊C4×C19C2311yescharacteristic
232C2×C4⋊C4×C19C2311yescharacteristic
233C2×C4⋊C4×C19C2311yescharacteristic
234C2×C4⋊C4×C19C2311yescharacteristic
235C2×C4⋊C4×C19C2311yescharacteristic
236C2×C4⋊C4×C19C2311yescharacteristic
237C2×C4⋊C4×C19C2311yescharacteristic
238C2×C4⋊C4×C19C2311yescharacteristic
239C2×C4⋊C4×C19C2311yescharacteristic
240C2×C4⋊C4×C19C2311yescharacteristic
241C2×C4⋊C4×C19C2311yescharacteristic
242C2×C4⋊C4×C19C2311yescharacteristic
243C2×C4⋊C4×C19C2311yescharacteristic
244C2×C4⋊C4×C19C2311yescharacteristic
245C2×C4⋊C4×C19C2311yescharacteristic
246C2×C4⋊C4×C19C2311yescharacteristic
247C2×C4⋊C4×C19C2311yescharacteristic
248C2×C4⋊C4×C19C2311yescharacteristic
249C2×C4⋊C4×C19C2311yescharacteristic
250C2×C4⋊C4×C19C2311yescharacteristic
251C2×C4⋊C4×C19C2311yescharacteristic
252C2×C22⋊C4×C19C2311yescharacteristic
253C2×C22⋊C4×C19C2311yescharacteristic
254C2×C22⋊C4×C19C2311yescharacteristic
255C2×C22⋊C4×C19C2311yescharacteristic
256C2×C22⋊C4×C19C2311yescharacteristic
257C2×C22⋊C4×C19C2311yescharacteristic
258C2×C22⋊C4×C19C2311yescharacteristic
259C2×C22⋊C4×C19C2311yescharacteristic
260C2×C22⋊C4×C19C2311yescharacteristic
261C2×C22⋊C4×C19C2311yescharacteristic
262C2×C22⋊C4×C19C2311yescharacteristic
263C2×C22⋊C4×C19C2311yescharacteristic
264C2×C22⋊C4×C19C2311yescharacteristic
265C2×C22⋊C4×C19C2311yescharacteristic
266C2×C22⋊C4×C19C2311yescharacteristic
267C2×C22⋊C4×C19C2311yescharacteristic
268C2×C22⋊C4×C19C2311yescharacteristic
269C2×C22⋊C4×C19C2311yescharacteristic
270C2×C22⋊C4×C19C2311yescharacteristic
271C2×C22⋊C4×C19C2311yescharacteristic
272C2×C22⋊C4×C19C2311yescharacteristic
273C2×C22⋊C4×C19C2311yescharacteristic
274C2×C22⋊C4×C19C2311yescharacteristic
275C2×C22⋊C4×C19C2311yescharacteristic
276C2×C22⋊C4×C19C2311yescharacteristic
277C2×C22⋊C4×C19C2311yescharacteristic
278C2×C22⋊C4×C19C2311yescharacteristic
279C2×C22⋊C4×C19C2311yescharacteristic
280C2×C22⋊C4×C19C2311yescharacteristic
281C2×C22⋊C4×C19C2311yescharacteristic
282C2×C22⋊C4×C19C2311yescharacteristic
283C2×C22⋊C4×C19C2311yescharacteristic
284C2×C22⋊C4×C19C2311yescharacteristic
285C2×C22⋊C4×C19C2311yescharacteristic
286C2×C22⋊C4×C19C2311yescharacteristic
287C2×C22⋊C4×C19C2311yescharacteristic
288C2×C22⋊C4×C19C2311yescharacteristic
289C2×C22⋊C4×C19C2311yescharacteristic
290C2×C22⋊C4×C19C2311yescharacteristic
291C2×C22⋊C4×C19C2311yescharacteristic
292C2×C22⋊C4×C19C2311yescharacteristic
293C2×C22⋊C4×C19C2311yescharacteristic
294C2×C22⋊C4×C19C2311yescharacteristic
295C2×C22⋊C4×C19C2311yescharacteristic
296C2×C22⋊C4×C19C2311yescharacteristic
297C2×C22⋊C4×C19C2311yescharacteristic
298C2×C42×C19—42no—
299C2×C42×C19C2311yescharacteristic
300C2×C42×C19C2311yescharacteristic
301C2×C42×C19C2311yescharacteristic
302C2×C42×C19C2311yescharacteristic
303C2×C42×C19C2311yescharacteristic
304C2×C42×C19C2311yescharacteristic
305C2×C42×C19C2311yescharacteristic
306C2×C42×C19C2311yescharacteristic
307C2×C42×C19C2311yescharacteristic
308C2×C42×C19C2311yescharacteristic
309C19×#95C2311yescharacteristic
310C19×#95C2311yescharacteristic
311C19×#95C2311yescharacteristic
312C19×#95C2311yescharacteristic
313C19×#95C2311yescharacteristic
314C19×#95C2311yescharacteristic
315C19×#95C2311yescharacteristic
316C19×#95C2311yescharacteristic
317C19×#95C2311yescharacteristic
318C19×#95C2311yescharacteristic
319C19×#95C2311yescharacteristic
320C19×#95C2311yescharacteristic
321C19×#95C2311yescharacteristic
322C19×#95C2311yescharacteristic
323C19×#95C2311yescharacteristic
324C19×#95C2311yescharacteristic
325C19×#95C2311yescharacteristic
326C19×#95C2311yescharacteristic
327C19×#95C2311yescharacteristic
328C19×#95C2311yescharacteristic
329C19×#95C2311yescharacteristic
330C19×#95C2311yescharacteristic
331C19×#95C2311yescharacteristic
332C19×#95C2311yescharacteristic
333C19×#95C2311yescharacteristic
334C19×#95C2311yescharacteristic
335C19×#95C2311yescharacteristic
336C19×#95C2311yescharacteristic
337C19×#95C2311yescharacteristic
338C19×#95C2311yescharacteristic
339C19×#95C2311yescharacteristic
340C19×#95C2311yescharacteristic
341C19×#95C2311yescharacteristic
342C19×#95C2311yescharacteristic
343C19×#95C2311yescharacteristic
344C19×#95C2311yescharacteristic
345C19×#95C2311yescharacteristic
346C19×#95C2311yescharacteristic
347C19×#95C2311yescharacteristic
348C19×#95C2311yescharacteristic
349C19×#95C2311yescharacteristic
350C19×#95C2311yescharacteristic
351C19×#95C2311yescharacteristic
352C19×#95C2311yescharacteristic
353C19×#95C2311yescharacteristic
354C19×#95C2311yescharacteristic
355C19×#95C2311yescharacteristic
356C19×#95C2311yescharacteristic
357C24×C19C2411yescharacteristic
358C24×C19C2411yescharacteristic
359C24×C19C2411yescharacteristic
360C24×C19C2411yescharacteristic
361C24×C19C2411yescharacteristic
362C2×D4×C19—22no—
363C2×D4×C19—22no—
364C2×D4×C19—22no—
365C2×D4×C19—22no—
366C2×D4×C19—22no—
367C2×D4×C19—22no—
368C2×D4×C19—22no—
369C2×D4×C19—22no—
370C2×D4×C19—41no—
371C2×D4×C19—41no—
372C2×D4×C19—41no—
373C2×D4×C19—41no—
374C2×D4×C19—41no—
375C2×D4×C19—41no—
376C2×D4×C19—41no—
377C2×D4×C19—41no—
378C2×D4×C19—41no—
379C2×D4×C19—41no—
380C2×D4×C19—41no—
381C2×D4×C19—41no—
382C2×D4×C19—41no—
383C2×D4×C19—41no—
384C2×D4×C19—41no—
385C2×D4×C19—41no—
386C2×D4×C19—41no—
387C2×D4×C19—41no—
388C2×D4×C19—41no—
389C2×D4×C19—41no—
390C2×D4×C19—41no—
391C2×D4×C19#4114yes—
392C22×C4×C19—22no—
393C22×C4×C19—22no—
394C22×C4×C19—22no—
395C22×C4×C19—22no—
396C22×C4×C19—22no—
397C22×C4×C19—22no—
398C22×C4×C19—41no—
399C22×C4×C19—41no—
400C22×C4×C19—41no—
401C22×C4×C19—41no—
402C22×C4×C19—41no—
403C22×C4×C19—41no—
404C22×C4×C19—41no—
405C22×C4×C19—41no—
406C22×C4×C19—41no—
407C22×C4×C19—41no—
408C22×C4×C19—41no—
409C22×C4×C19—41no—
410C22×C4×C19—41no—
411C22×C4×C19—41no—
412C22×C4×C19—41no—
413C22×C4×C19—41no—
414C22×C4×C19—41no—
415C22×C4×C19—41no—
416C22×C4×C19—41no—
417C22×C4×C19—41no—
418C22×C4×C19—41no—
419C22×C4×C19C2411yescharacteristic
420C22×C4×C19C2411yescharacteristic
421C22×C4×C19C2411yescharacteristic
422C22×C4×C19C2411yescharacteristic
423C22×C4×C19C2411yescharacteristic
424C22×C4×C19C2411yescharacteristic
425C22×C4×C19C2411yescharacteristic
426C22×C4×C19C2411yescharacteristic
427C22×C4×C19C2411yescharacteristic
428C22×C4×C19C2411yescharacteristic
429C22×C4×C19C2411yescharacteristic
430C22×C4×C19C2411yescharacteristic
431C22×C4×C19C2411yescharacteristic
432C22×C4×C19C2411yescharacteristic
433C22×C4×C19C2411yescharacteristic
434C22×C4×C19C2411yescharacteristic
435C22×C4×C19C2411yescharacteristic
436C22×C4×C19C2411yescharacteristic
437C22×C4×C19C2411yescharacteristic
438C22×C4×C19C2411yescharacteristic
439C22×C4×C19C2411yescharacteristic
440C22×C4×C19C2411yescharacteristic
441C22×C4×C19C2411yescharacteristic
442C22×C4×C19C2411yescharacteristic
443C22×C4×C19C2411yescharacteristic
444C22×C4×C19C2411yescharacteristic
445C4⋊C4×C19—22no—
446C4⋊C4×C19—22no—
447C4⋊C4×C19—22no—
448C4⋊C4×C19—22no—
449C4⋊C4×C19—22no—
450C4⋊C4×C19—22no—
451C4⋊C4×C19—22no—
452C4⋊C4×C19—22no—
453C4⋊C4×C19—41no—
454C4⋊C4×C19—41no—
455C4⋊C4×C19—41no—
456C4⋊C4×C19—41no—
457C4⋊C4×C19—41no—
458C4⋊C4×C19—41no—
459C4⋊C4×C19—41no—
460C4⋊C4×C19—41no—
461C4⋊C4×C19—41no—
462C4⋊C4×C19—41no—
463C4⋊C4×C19—41no—
464C4⋊C4×C19—41no—
465C4⋊C4×C19—41no—
466C4⋊C4×C19—41no—
467C4⋊C4×C19—41no—
468C4⋊C4×C19—41no—
469C4⋊C4×C19—41no—
470C4⋊C4×C19—41no—
471C4⋊C4×C19—41no—
472C4⋊C4×C19—41no—
473C4⋊C4×C19—41no—
474C4⋊C4×C19—41no—
475C4⋊C4×C19—41no—
476C4⋊C4×C19—41no—
477C22⋊C4×C19—22no—
478C22⋊C4×C19—22no—
479C22⋊C4×C19—22no—
480C22⋊C4×C19—22no—
481C22⋊C4×C19—22no—
482C22⋊C4×C19—22no—
483C22⋊C4×C19—22no—
484C22⋊C4×C19—22no—
485C22⋊C4×C19—22no—
486C22⋊C4×C19—41no—
487C22⋊C4×C19—41no—
488C22⋊C4×C19—41no—
489C22⋊C4×C19—41no—
490C22⋊C4×C19—41no—
491C22⋊C4×C19—41no—
492C22⋊C4×C19—41no—
493C22⋊C4×C19—41no—
494C22⋊C4×C19—41no—
495C22⋊C4×C19—41no—
496C22⋊C4×C19—41no—
497C22⋊C4×C19—41no—
498C22⋊C4×C19—41no—
499C22⋊C4×C19—41no—
500C22⋊C4×C19—41no—
501C22⋊C4×C19—41no—
502C22⋊C4×C19—41no—
503C22⋊C4×C19—41no—
504C22⋊C4×C19—41no—
505C22⋊C4×C19—41no—
506C22⋊C4×C19—41no—
507C22⋊C4×C19—41no—
508C22⋊C4×C19—41no—
509C22⋊C4×C19—41no—
510C22⋊C4×C19—41no—
511C22⋊C4×C19—41no—
512C22⋊C4×C19—41no—
513C22⋊C4×C19—41no—
514C22⋊C4×C19—41no—
515C22⋊C4×C19—41no—
516C22⋊C4×C19—41no—
517C22⋊C4×C19—41no—
518C22⋊C4×C19—41no—
519C22⋊C4×C19—41no—
520C22⋊C4×C19—41no—
521C22⋊C4×C19—41no—
522C22⋊C4×C19—41no—
523C42×C19—22no—
524C42×C19—22no—
525C42×C19—22no—
526C42×C19—22no—
527C42×C19—22no—
528C42×C19—41no—
529C42×C19—41no—
530C42×C19—41no—
531C42×C19—41no—
532C42×C19—41no—
533#36860C1911yesmaximal, characteristic, direct product factor, Sylow
534C23×C19—21no—
535C23×C19—21no—
536C23×C19—21no—
537C23×C19—21no—
538C23×C19—21no—
539C23×C19—21no—
540C23×C19—21no—
541C23×C19—21no—
542C23×C19—21no—
543C23×C19—21no—
544C23×C19—21no—
545C23×C19—21no—
546C23×C19—21no—
547C23×C19—21no—
548C23×C19—21no—
549C23×C19—21no—
550C23×C19—21no—
551C23×C19—21no—
552C23×C19—21no—
553C23×C19—21no—
554C23×C19—21no—
555C23×C19—21no—
556C23×C19—21no—
557C23×C19—21no—
558C23×C19—21no—
559C23×C19—21no—
560C23×C19—21no—
561C23×C19—21no—
562C23×C19—21no—
563C23×C19—21no—
564C23×C19—21no—
565C23×C19—21no—
566C23×C19—21no—
567C23×C19C2×#4112yes—
568C23×C19C2×#4112yes—
569C23×C19C2511yescharacteristic
570D4×C19—44no—
571D4×C19—44no—
572D4×C19—44no—
573D4×C19—44no—
574D4×C19—82no—
575D4×C19—82no—
576D4×C19—82no—
577D4×C19—82no—
578D4×C19—82no—
579D4×C19—82no—
580C2×C4×C19—21no—
581C2×C4×C19—21no—
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—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—21no—
602C2×C4×C19—21no—
603C2×C4×C19—21no—
604C2×C4×C19—21no—
605C2×C4×C19—21no—
606C2×C4×C19—21no—
607C2×C4×C19—21no—
608C2×C4×C19—21no—
609C2×C4×C19—21no—
610C2×C4×C19—21no—
611C2×C4×C19—21no—
612C2×C4×C19—21no—
613C2×C4×C19—21no—
614C2×C4×C19—21no—
615C2×C4×C19—21no—
616C2×C4×C19—21no—
617C2×C4×C19—21no—
618C2×C4×C19—21no—
619C2×C4×C19—21no—
620C2×C4×C19—21no—
621C2×C4×C19—21no—
622C2×C4×C19—21no—
623C2×C4×C19—21no—
624C2×C4×C19—21no—
625C2×C4×C19—21no—
626C2×C4×C19—21no—
627C2×C4×C19—21no—
628C2×C4×C19—21no—
629C2×C4×C19—21no—
630C2×C4×C19—21no—
631C2×C4×C19—21no—
632C2×C4×C19—21no—
633C2×C4×C19—21no—
634C2×C4×C19—21no—
635C2×C4×C19—21no—
636C2×C4×C19—21no—
637C2×C4×C19—21no—
638C2×C4×C19—21no—
639C2×C4×C19—21no—
640C2×C4×C19—21no—
641C2×C4×C19—21no—
642C2×C4×C19—21no—
643C2×C4×C19—21no—
644C2×C4×C19—21no—
645C2×C4×C19—21no—
646C2×C4×C19—21no—
647C2×C4×C19—21no—
648C2×C4×C19—21no—
649C2×C4×C19—21no—
650C2×C4×C19—21no—
651C2×C4×C19—21no—
652C2×C4×C19—21no—
653C2×C4×C19—21no—
654C2×C4×C19—21no—
655C2×C4×C19—44no—
656C2×C4×C19—44no—
657C2×C4×C19—44no—
658C2×C4×C19—44no—
659C2×C4×C19—82no—
660C2×C4×C19—82no—
661C2×C4×C19—82no—
662C2×C4×C19—82no—
663C2×C4×C19—82no—
664C2×C4×C19C2×#4112yes—
665C2×C4×C19H(5,𝔽2)12yes—
666C2×C4×C19H(5,𝔽2)12yes—
667#2853C2×C1911yescharacteristic, complemented
668#2852C2×C1911yescharacteristic, complemented
669#2803C2×C1911yescharacteristic, complemented
670#2783C2×C1911yescharacteristic, complemented
671#2780C2×C1911yescharacteristic, complemented
672#2778C2×C1911yescharacteristic, complemented
673#2769C2×C1911yescharacteristic, complemented
674#2749C2×C1911yescharacteristic, complemented
675#2749C2×C1911yescharacteristic, complemented
676#2746C2×C1911yescharacteristic, complemented
677#2743C2×C1911yescharacteristic, complemented
678#2743C2×C1911yescharacteristic, complemented
679#2727C2×C1911yescharacteristic, complemented
680#2709C2×C1911yescharacteristic, complemented
681#2701C2×C1911yescharacteristic, complemented
682#2695C2×C1911yescharacteristic, complemented
683#2691C2×C1911yescharacteristic, complemented
684#2673C2×C1911yescharacteristic
685#2636C2×C1911yescharacteristic, complemented
686#2630C2×C1911yescharacteristic, complemented
687#2530C2×C1911yescharacteristic, complemented
688#2528C2×C1911yescharacteristic, complemented
689#2518C2×C1911yescharacteristic, complemented
690#2481C2×C1911yescharacteristic, complemented
691#2468C2×C1911yescharacteristic, complemented
692#2467C2×C1911yescharacteristic, complemented
693#2457C2×C1911yescharacteristic, complemented
694#2443C2×C1911yescharacteristic, complemented
695#2328C2×C1911yescharacteristic, complemented
696#2322C2×C1911yescharacteristic, complemented
697C4×#121C2×C1911yescharacteristic, complemented
698C22×C19—22no—
699C22×C19—22no—
700C22×C19—22no—
701C22×C19—22no—
702C22×C19—22no—
703C22×C19—22no—
704C22×C19—41no—
705C22×C19—41no—
706C22×C19—41no—
707C22×C19—41no—
708C22×C19—41no—
709C22×C19—41no—
710C22×C19—41no—
711C22×C19—41no—
712C22×C19—41no—
713C22×C19—41no—
714C22×C19—41no—
715C22×C19—41no—
716C22×C19—41no—
717C22×C19—41no—
718C22×C19—41no—
719C22×C19—41no—
720C22×C19—41no—
721C22×C19—41no—
722C22×C19—41no—
723C22×C19—41no—
724C22×C19—41no—
725C22×C19—41no—
726C22×C19—41no—
727C22×C19—41no—
728C22×C19—41no—
729C22×C19—41no—
730C22×C19—41no—
731C22×C19—41no—
732C22×C19—41no—
733C22×C19C22×#4111yescharacteristic
734C22×C19C2×H(5,𝔽2)11yescharacteristic
735C22×C19C2×H(5,𝔽2)11yescharacteristic
736C22×C19#58511yescharacteristic
737C22×C19#58511yescharacteristic
738C22×C19#58511yescharacteristic
739C22×C19#58511yescharacteristic
740C4×C19—22no—
741C4×C19—22no—
742C4×C19—22no—
743C4×C19—41no—
744C4×C19—41no—
745C4×C19—41no—
746C4×C19—41no—
747C4×C19—41no—
748C4×C19—41no—
749C4×C19—41no—
750C4×C19—41no—
751C4×C19—41no—
752C4×C19—41no—
753C4×C19—41no—
754C4×C19—41no—
755C4×C19—41no—
756C4×C19—41no—
757C4×C19—41no—
758C4×C19—41no—
759C4×C19—41no—
760C4×C19—41no—
761C4×C19—41no—
762C4×C19—41no—
763C4×C19—41no—
764C4×C19—41no—
765C4×C19—41no—
766C2×#127C22×C1911yescharacteristic
767C2×#126C22×C1911yescharacteristic
768C2×#126C22×C1911yescharacteristic
769C2×#126C22×C1911yescharacteristic
770C2×#123C22×C1911yescharacteristic
771C2×#123C22×C1911yescharacteristic
772C2×#123C22×C1911yescharacteristic
773C2×#121C22×C1911yescharacteristic
774C2×#121C22×C1911yescharacteristic
775C2×C4×D4C22×C1911yescharacteristic
776C2×C4×D4C22×C1911yescharacteristic
777C2×C4×D4C22×C1911yescharacteristic
778C2×C4×D4C22×C1911yescharacteristic
779C22×C4⋊C4C22×C1911yescharacteristic
780C22×C42C22×C1911yescharacteristic
781#401C22×C1911yescharacteristic
782#400C22×C1911yescharacteristic
783#400C22×C1911yescharacteristic
784#400C22×C1911yescharacteristic
785#400C22×C1911yescharacteristic
786#400C22×C1911yescharacteristic
787#400C22×C1911yescharacteristic
788#400C22×C1911yescharacteristic
789#400C22×C1911yescharacteristic
790#399C22×C1911yescharacteristic
791#399C22×C1911yescharacteristic
792#399C22×C1911yescharacteristic
793#398C22×C1911yescharacteristic
794#398C22×C1911yescharacteristic
795#398C22×C1911yescharacteristic
796#398C22×C1911yescharacteristic
797#398C22×C1911yescharacteristic
798#397C22×C1911yescharacteristic
799#397C22×C1911yescharacteristic
800#397C22×C1911yescharacteristic
801#397C22×C1911yescharacteristic
802#397C22×C1911yescharacteristic
803#397C22×C1911yescharacteristic
804#396C22×C1911yescharacteristic
805#396C22×C1911yescharacteristic
806#396C22×C1911yescharacteristic
807#396C22×C1911yescharacteristic
808#396C22×C1911yescharacteristic
809#396C22×C1911yescharacteristic
810#396C22×C1911yescharacteristic
811#394C22×C1911yescharacteristic
812#394C22×C1911yescharacteristic
813#394C22×C1911yescharacteristic
814#394C22×C1911yescharacteristic
815#394C22×C1911yescharacteristic
816#394C22×C1911yescharacteristic
817#394C22×C1911yescharacteristic
818#394C22×C1911yescharacteristic
819#394C22×C1911yescharacteristic
820#394C22×C1911yescharacteristic
821#394C22×C1911yescharacteristic
822#394C22×C1911yescharacteristic
823#394C22×C1911yescharacteristic
824#394C22×C1911yescharacteristic
825#392C22×C1911yescharacteristic
826#392C22×C1911yescharacteristic
827#392C22×C1911yescharacteristic
828#392C22×C1911yescharacteristic
829#390C22×C1911yescharacteristic
830#390C22×C1911yescharacteristic
831#390C22×C1911yescharacteristic
832#390C22×C1911yescharacteristic
833#389C22×C1911yescharacteristic
834#389C22×C1911yescharacteristic
835#389C22×C1911yescharacteristic
836#389C22×C1911yescharacteristic
837#389C22×C1911yescharacteristic
838#389C22×C1911yescharacteristic
839#388C22×C1911yescharacteristic
840#388C22×C1911yescharacteristic
841#388C22×C1911yescharacteristic
842#388C22×C1911yescharacteristic
843#388C22×C1911yescharacteristic
844#388C22×C1911yescharacteristic
845#388C22×C1911yescharacteristic
846#388C22×C1911yescharacteristic
847#388C22×C1911yescharacteristic
848#388C22×C1911yescharacteristic
849#388C22×C1911yescharacteristic
850#388C22×C1911yescharacteristic
851#388C22×C1911yescharacteristic
852#388C22×C1911yescharacteristic
853#388C22×C1911yescharacteristic
854#388C22×C1911yescharacteristic
855#388C22×C1911yescharacteristic
856#387C22×C1911yescharacteristic
857#387C22×C1911yescharacteristic
858#387C22×C1911yescharacteristic
859#387C22×C1911yescharacteristic
860#387C22×C1911yescharacteristic
861#387C22×C1911yescharacteristic
862#387C22×C1911yescharacteristic
863#387C22×C1911yescharacteristic
864#387C22×C1911yescharacteristic
865#387C22×C1911yescharacteristic
866#387C22×C1911yescharacteristic
867#387C22×C1911yescharacteristic
868#387C22×C1911yescharacteristic
869#387C22×C1911yescharacteristic
870#387C22×C1911yescharacteristic
871#386C22×C1911yescharacteristic
872#386C22×C1911yescharacteristic
873#386C22×C1911yescharacteristic
874#386C22×C1911yescharacteristic
875#386C22×C1911yescharacteristic
876#386C22×C1911yescharacteristic
877#386C22×C1911yescharacteristic
878#386C22×C1911yescharacteristic
879#386C22×C1911yescharacteristic
880#386C22×C1911yescharacteristic
881#386C22×C1911yescharacteristic
882#386C22×C1911yescharacteristic
883#386C22×C1911yescharacteristic
884#386C22×C1911yescharacteristic
885#386C22×C1911yescharacteristic
886#386C22×C1911yescharacteristic
887#386C22×C1911yescharacteristic
888#386C22×C1911yescharacteristic
889#386C22×C1911yescharacteristic
890#386C22×C1911yescharacteristic
891#386C22×C1911yescharacteristic
892#385C22×C1911yescharacteristic
893#385C22×C1911yescharacteristic
894#385C22×C1911yescharacteristic
895#385C22×C1911yescharacteristic
896#385C22×C1911yescharacteristic
897#385C22×C1911yescharacteristic
898#385C22×C1911yescharacteristic
899#385C22×C1911yescharacteristic
900#385C22×C1911yescharacteristic
901#385C22×C1911yescharacteristic
902#385C22×C1911yescharacteristic
903#383C22×C1911yescharacteristic
904#383C22×C1911yescharacteristic
905#382C22×C1911yescharacteristic
906#382C22×C1911yescharacteristic
907#381C22×C1911yescharacteristic
908#381C22×C1911yescharacteristic
909#381C22×C1911yescharacteristic
910#381C22×C1911yescharacteristic
911#380C22×C1911yescharacteristic
912#380C22×C1911yescharacteristic
913#380C22×C1911yescharacteristic
914#380C22×C1911yescharacteristic
915#380C22×C1911yescharacteristic
916C4×C4⋊C4C22×C1911yescharacteristic
917C4×C22⋊C4C22×C1911yescharacteristic
918C4×C22⋊C4C22×C1911yescharacteristic
919C4×C22⋊C4C22×C1911yescharacteristic
920#376C22×C1911yescharacteristic
921C2×C19—42no—
922C2×C19—42no—
923C2×C19—81no—
924C2×C19—81no—
925C2×C19—81no—
926C2×C19#345911yescharacteristic
927C2×C19#351311yescharacteristic
928C2×C19#352111yescharacteristic
929C2×C19#353911yescharacteristic
930C2×C19#354211yescharacteristic
931C2×C19#355111yescharacteristic
932C2×C19#356611yescharacteristic
933C22×D4C23×C1911yescharacteristic
934C22×D4C23×C1911yescharacteristic
935C22×D4C23×C1911yescharacteristic
936C22×D4C23×C1911yescharacteristic
937C22×D4C23×C1911yescharacteristic
938C22×D4C23×C1911yescharacteristic
939C22×D4C23×C1911yescharacteristic
940C22×D4C23×C1911yescharacteristic
941C22×D4C23×C1911yescharacteristic
942C22×D4C23×C1911yescharacteristic
943C23×C4C23×C1911yescharacteristic
944C23×C4C23×C1911yescharacteristic
945C23×C4C23×C1911yescharacteristic
946C23×C4C23×C1911yescharacteristic
947C23×C4C23×C1911yescharacteristic
948C23×C4C23×C1911yescharacteristic
949C23×C4C23×C1911yescharacteristic
950C23×C4C23×C1911yescharacteristic
951C23×C4C23×C1911yescharacteristic
952#127—24no—
953#126—42no—
954#126—42no—
955#126—42no—
956#123—24no—
957#123—42no—
958#123—42no—
959#121—24no—
960#121—42no—
961C4×D4—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
965C2×C4⋊C4—42no—
966C2×C4⋊C4C23×C1911yescharacteristic
967C2×C4⋊C4C23×C1911yescharacteristic
968C2×C4⋊C4C23×C1911yescharacteristic
969C2×C4⋊C4C23×C1911yescharacteristic
970C2×C4⋊C4C23×C1911yescharacteristic
971C2×C4⋊C4C23×C1911yescharacteristic
972C2×C4⋊C4C23×C1911yescharacteristic
973C2×C4⋊C4C23×C1911yescharacteristic
974C2×C4⋊C4C23×C1911yescharacteristic
975C2×C4⋊C4C23×C1911yescharacteristic
976C2×C4⋊C4C23×C1911yescharacteristic
977C2×C4⋊C4C23×C1911yescharacteristic
978C2×C4⋊C4C23×C1911yescharacteristic
979C2×C4⋊C4C23×C1911yescharacteristic
980C2×C4⋊C4C23×C1911yescharacteristic
981C2×C4⋊C4C23×C1911yescharacteristic
982C2×C4⋊C4C23×C1911yescharacteristic
983C2×C4⋊C4C23×C1911yescharacteristic
984C2×C4⋊C4C23×C1911yescharacteristic
985C2×C4⋊C4C23×C1911yescharacteristic
986C2×C4⋊C4C23×C1911yescharacteristic
987C2×C4⋊C4C23×C1911yescharacteristic
988C2×C4⋊C4C23×C1911yescharacteristic
989C2×C4⋊C4C23×C1911yescharacteristic
990C2×C4⋊C4C23×C1911yescharacteristic
991C2×C4⋊C4C23×C1911yescharacteristic
992C2×C4⋊C4C23×C1911yescharacteristic
993C2×C4⋊C4C23×C1911yescharacteristic
994C2×C4⋊C4C23×C1911yescharacteristic
995C2×C4⋊C4C23×C1911yescharacteristic
996C2×C4⋊C4C23×C1911yescharacteristic
997C2×C4⋊C4C23×C1911yescharacteristic
998C2×C22⋊C4C23×C1911yescharacteristic
999C2×C22⋊C4C23×C1911yescharacteristic
1000C2×C22⋊C4C23×C1911yescharacteristic
1001C2×C22⋊C4C23×C1911yescharacteristic
1002C2×C22⋊C4C23×C1911yescharacteristic
1003C2×C22⋊C4C23×C1911yescharacteristic
1004C2×C22⋊C4C23×C1911yescharacteristic
1005C2×C22⋊C4C23×C1911yescharacteristic
1006C2×C22⋊C4C23×C1911yescharacteristic
1007C2×C22⋊C4C23×C1911yescharacteristic
1008C2×C22⋊C4C23×C1911yescharacteristic
1009C2×C22⋊C4C23×C1911yescharacteristic
1010C2×C22⋊C4C23×C1911yescharacteristic
1011C2×C22⋊C4C23×C1911yescharacteristic
1012C2×C22⋊C4C23×C1911yescharacteristic
1013C2×C22⋊C4C23×C1911yescharacteristic
1014C2×C22⋊C4C23×C1911yescharacteristic
1015C2×C22⋊C4C23×C1911yescharacteristic
1016C2×C22⋊C4C23×C1911yescharacteristic
1017C2×C22⋊C4C23×C1911yescharacteristic
1018C2×C22⋊C4C23×C1911yescharacteristic
1019C2×C22⋊C4C23×C1911yescharacteristic
1020C2×C22⋊C4C23×C1911yescharacteristic
1021C2×C22⋊C4C23×C1911yescharacteristic
1022C2×C22⋊C4C23×C1911yescharacteristic
1023C2×C22⋊C4C23×C1911yescharacteristic
1024C2×C22⋊C4C23×C1911yescharacteristic
1025C2×C22⋊C4C23×C1911yescharacteristic
1026C2×C22⋊C4C23×C1911yescharacteristic
1027C2×C22⋊C4C23×C1911yescharacteristic
1028C2×C22⋊C4C23×C1911yescharacteristic
1029C2×C22⋊C4C23×C1911yescharacteristic
1030C2×C22⋊C4C23×C1911yescharacteristic
1031C2×C22⋊C4C23×C1911yescharacteristic
1032C2×C22⋊C4C23×C1911yescharacteristic
1033C2×C22⋊C4C23×C1911yescharacteristic
1034C2×C22⋊C4C23×C1911yescharacteristic
1035C2×C22⋊C4C23×C1911yescharacteristic
1036C2×C22⋊C4C23×C1911yescharacteristic
1037C2×C22⋊C4C23×C1911yescharacteristic
1038C2×C22⋊C4C23×C1911yescharacteristic
1039C2×C22⋊C4C23×C1911yescharacteristic
1040C2×C22⋊C4C23×C1911yescharacteristic
1041C2×C22⋊C4C23×C1911yescharacteristic
1042C2×C22⋊C4C23×C1911yescharacteristic
1043C2×C22⋊C4C23×C1911yescharacteristic
1044C2×C42—42no—
1045C2×C42C23×C1911yescharacteristic
1046C2×C42C23×C1911yescharacteristic
1047C2×C42C23×C1911yescharacteristic
1048C2×C42C23×C1911yescharacteristic
1049C2×C42C23×C1911yescharacteristic
1050C2×C42C23×C1911yescharacteristic
1051C2×C42C23×C1911yescharacteristic
1052C2×C42C23×C1911yescharacteristic
1053C2×C42C23×C1911yescharacteristic
1054C2×C42C23×C1911yescharacteristic
1055#95C23×C1911yescharacteristic
1056#95C23×C1911yescharacteristic
1057#95C23×C1911yescharacteristic
1058#95C23×C1911yescharacteristic
1059#95C23×C1911yescharacteristic
1060#95C23×C1911yescharacteristic
1061#95C23×C1911yescharacteristic
1062#95C23×C1911yescharacteristic
1063#95C23×C1911yescharacteristic
1064#95C23×C1911yescharacteristic
1065#95C23×C1911yescharacteristic
1066#95C23×C1911yescharacteristic
1067#95C23×C1911yescharacteristic
1068#95C23×C1911yescharacteristic
1069#95C23×C1911yescharacteristic
1070#95C23×C1911yescharacteristic
1071#95C23×C1911yescharacteristic
1072#95C23×C1911yescharacteristic
1073#95C23×C1911yescharacteristic
1074#95C23×C1911yescharacteristic
1075#95C23×C1911yescharacteristic
1076#95C23×C1911yescharacteristic
1077#95C23×C1911yescharacteristic
1078#95C23×C1911yescharacteristic
1079#95C23×C1911yescharacteristic
1080#95C23×C1911yescharacteristic
1081#95C23×C1911yescharacteristic
1082#95C23×C1911yescharacteristic
1083#95C23×C1911yescharacteristic
1084#95C23×C1911yescharacteristic
1085#95C23×C1911yescharacteristic
1086#95C23×C1911yescharacteristic
1087#95C23×C1911yescharacteristic
1088#95C23×C1911yescharacteristic
1089#95C23×C1911yescharacteristic
1090#95C23×C1911yescharacteristic
1091#95C23×C1911yescharacteristic
1092#95C23×C1911yescharacteristic
1093#95C23×C1911yescharacteristic
1094#95C23×C1911yescharacteristic
1095#95C23×C1911yescharacteristic
1096#95C23×C1911yescharacteristic
1097#95C23×C1911yescharacteristic
1098#95C23×C1911yescharacteristic
1099#95C23×C1911yescharacteristic
1100#95C23×C1911yescharacteristic
1101#95C23×C1911yescharacteristic
1102#95C23×C1911yescharacteristic
1103C19#3686011yescharacteristic, direct product factor, Sylow
1104C24C24×C1911yescharacteristic
1105C24C24×C1911yescharacteristic
1106C24C24×C1911yescharacteristic
1107C24C24×C1911yescharacteristic
1108C24C24×C1911yescharacteristic
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4#41×C1914yes—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4C24×C1911yescharacteristic
1167C22×C4C24×C1911yescharacteristic
1168C22×C4C24×C1911yescharacteristic
1169C22×C4C24×C1911yescharacteristic
1170C22×C4C24×C1911yescharacteristic
1171C22×C4C24×C1911yescharacteristic
1172C22×C4C24×C1911yescharacteristic
1173C22×C4C24×C1911yescharacteristic
1174C22×C4C24×C1911yescharacteristic
1175C22×C4C24×C1911yescharacteristic
1176C22×C4C24×C1911yescharacteristic
1177C22×C4C24×C1911yescharacteristic
1178C22×C4C24×C1911yescharacteristic
1179C22×C4C24×C1911yescharacteristic
1180C22×C4C24×C1911yescharacteristic
1181C22×C4C24×C1911yescharacteristic
1182C22×C4C24×C1911yescharacteristic
1183C22×C4C24×C1911yescharacteristic
1184C22×C4C24×C1911yescharacteristic
1185C22×C4C24×C1911yescharacteristic
1186C22×C4C24×C1911yescharacteristic
1187C22×C4C24×C1911yescharacteristic
1188C22×C4C24×C1911yescharacteristic
1189C22×C4C24×C1911yescharacteristic
1190C22×C4C24×C1911yescharacteristic
1191C22×C4C24×C1911yescharacteristic
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C42—22no—
1271C42—22no—
1272C42—22no—
1273C42—22no—
1274C42—22no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23C2×#41×C1912yes—
1314C23C2×#41×C1912yes—
1315C23C25×C1911yescharacteristic
1316D4—44no—
1317D4—44no—
1318D4—44no—
1319D4—44no—
1320D4—82no—
1321D4—82no—
1322D4—82no—
1323D4—82no—
1324D4—82no—
1325D4—82no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—82no—
1406C2×C4—82no—
1407C2×C4—82no—
1408C2×C4—82no—
1409C2×C4—82no—
1410C2×C4C2×#41×C1912yes—
1411C2×C4C19×H(5,𝔽2)12yes—
1412C2×C4C19×H(5,𝔽2)12yes—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22C22×#41×C1911yescharacteristic
1449C22C2×C19×H(5,𝔽2)11yescharacteristic
1450C22C2×C19×H(5,𝔽2)11yescharacteristic
1451C22C19×#58511yescharacteristic
1452C22C19×#58511yescharacteristic
1453C22C19×#58511yescharacteristic
1454C22C19×#58511yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C2—42no—
1482C2—42no—
1483C2—81no—
1484C2—81no—
1485C2—81no—
1486C2C19×#345911yescharacteristic
1487C2C19×#351311yescharacteristic
1488C2C19×#352111yescharacteristic
1489C2C19×#353911yescharacteristic
1490C2C19×#354211yescharacteristic
1491C2C19×#355111yescharacteristic
1492C2C19×#356611yescharacteristic
subgroupG/H
center, socleC23×C19C25
commutator, Frattini, cosocleC23C25×C19
prime radicalC19×#2673C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2853C2semidirect
2. C19×#2852C2semidirect
3. C19×#2803C2semidirect
4. C19×#2783C2semidirect
5. C19×#2780C2semidirect
6. C19×#2778C2semidirect
7. C19×#2769C2semidirect
8. C19×#2749C2semidirect
9. C19×#2749C2semidirect
10. C19×#2746C2semidirect
11. C19×#2743C2semidirect
12. C19×#2743C2semidirect
13. C19×#2727C2semidirect
14. C19×#2709C2semidirect
15. C19×#2701C2semidirect
16. C19×#2695C2semidirect
17. C19×#2691C2semidirect
19. C19×#2636C2semidirect
20. C19×#2630C2semidirect
21. C19×#2530C2semidirect
22. C19×#2528C2semidirect
23. C19×#2518C2semidirect
24. C19×#2481C2semidirect
25. C19×#2468C2semidirect
26. C19×#2467C2semidirect
27. C19×#2457C2semidirect
28. C19×#2443C2semidirect
29. C19×#2328C2semidirect
30. C19×#2322C2semidirect
31. C4×C19×#121C2semidirect
533. #36860C19direct (N × H)
667. #2853C2×C19semidirect
668. #2852C2×C19semidirect
669. #2803C2×C19semidirect
670. #2783C2×C19semidirect
671. #2780C2×C19semidirect
672. #2778C2×C19semidirect
673. #2769C2×C19semidirect
674. #2749C2×C19semidirect
675. #2749C2×C19semidirect
676. #2746C2×C19semidirect
677. #2743C2×C19semidirect
678. #2743C2×C19semidirect
679. #2727C2×C19semidirect
680. #2709C2×C19semidirect
681. #2701C2×C19semidirect
682. #2695C2×C19semidirect
683. #2691C2×C19semidirect
685. #2636C2×C19semidirect
686. #2630C2×C19semidirect
687. #2530C2×C19semidirect
688. #2528C2×C19semidirect
689. #2518C2×C19semidirect
690. #2481C2×C19semidirect
691. #2468C2×C19semidirect
692. #2467C2×C19semidirect
693. #2457C2×C19semidirect
694. #2443C2×C19semidirect
695. #2328C2×C19semidirect
696. #2322C2×C19semidirect
697. C4×#121C2×C19semidirect
1103. C19#36860direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28532
C19×#28522
C19×#28032
C19×#27832
C19×#27802
C19×#27782
C19×#27692
C19×#27492
C19×#27462
C19×#27432
C19×#27272
C19×#27092
C19×#27012
C19×#26952
C19×#26912
C19×#26732
C19×#26362
C19×#26302
C19×#25302
C19×#25282
C19×#25182
C19×#24812
C19×#24682
C19×#24672
C19×#24572
C19×#24432
C19×#23282
C19×#23222
C4×C19×#1212
#3686019