Finite Group Databasebeta

← C19×#34811 #18040770

Subgroups — C19×#34811 #18040770

Order 4864.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2533C211yesmaximal, characteristic, complemented
2C19×#2532C211yesmaximal, characteristic, complemented
3C19×#2531C211yesmaximal, characteristic, complemented
4C19×#2530C211yesmaximal, characteristic, complemented
5C19×#2529C211yesmaximal, characteristic, complemented
6C19×#2528C211yesmaximal, characteristic, complemented
7C19×#2527C211yesmaximal, characteristic, complemented
8C19×#2526C211yesmaximal, characteristic, complemented
9C19×#2510C211yesmaximal, characteristic, complemented
10C19×#2505C211yesmaximal, characteristic, complemented
11C19×#2493C211yesmaximal, characteristic, complemented
12C19×#2488C211yesmaximal, characteristic, complemented
13C19×#2450C211yesmaximal, characteristic, complemented
14C19×#2444C211yesmaximal, characteristic
15C19×#2425C211yesmaximal, characteristic
16C19×#2419C211yesmaximal, characteristic, complemented
17C19×#2402C211yesmaximal, characteristic, complemented
18C19×#2401C211yesmaximal, characteristic, complemented
19C19×#2401C211yesmaximal, characteristic, complemented
20C19×#2398C211yesmaximal, characteristic, complemented
21C4×C19×C22⋊Q8C211yesmaximal, characteristic, complemented
22C4×C19×#123C211yesmaximal, characteristic, complemented
23C4×C19×#123C211yesmaximal, characteristic, complemented
24C4×C19×#121C211yesmaximal, characteristic
25C19×#2298C211yesmaximal, characteristic, complemented
26C19×#2295C211yesmaximal, characteristic, complemented
27C19×#2290C211yesmaximal, characteristic, complemented
28C19×#2290C211yesmaximal, characteristic, complemented
29C19×#2283C211yesmaximal, characteristic, complemented
30C42×D4×C19C211yesmaximal, characteristic, complemented
31C2×C19×#376C211yesmaximal, characteristic, complemented
32C2×C19×#123C2211yescharacteristic
33C2×C19×#123C2211yescharacteristic
34C2×C19×C22⋊Q8C2211yescharacteristic
35C2×C19×#121C2211yescharacteristic
36C2×C4×Q8×C19C2211yescharacteristic
37C2×C4×D4×C19C2211yescharacteristic
38C2×C4×D4×C19C2211yescharacteristic
39C2×C4×D4×C19C2211yescharacteristic
40C2×C4×D4×C19C2211yescharacteristic
41C2×C4×D4×C19C2211yescharacteristic
42C2×C19×#117C2211yescharacteristic
43C22×C42×C19C2211yescharacteristic
44C22×C42×C19C2211yescharacteristic
45C22×C42×C19C2211yescharacteristic
46C22×C42×C19C2211yescharacteristic
47C19×#401C2211yescharacteristic
48C19×#401C2211yescharacteristic
49C19×#400C2211yescharacteristic
50C19×#400C2211yescharacteristic
51C19×#400C2211yescharacteristic
52C19×#400C2211yescharacteristic
53C19×#400C2211yescharacteristic
54C19×#400C2211yescharacteristic
55C19×#400C2211yescharacteristic
56C19×#400C2211yescharacteristic
57C19×#400C2211yescharacteristic
58C19×#400C2211yescharacteristic
59C19×#400C2211yescharacteristic
60C19×#400C2211yescharacteristic
61C19×#398C2211yescharacteristic
62C19×#398C2211yescharacteristic
63C19×#398C2211yescharacteristic
64C19×#398C2211yescharacteristic
65C19×#397C2211yescharacteristic
66C19×#397C2211yescharacteristic
67C19×#397C2211yescharacteristic
68C19×#397C2211yescharacteristic
69C19×#397C2211yescharacteristic
70C19×#397C2211yescharacteristic
71C19×#397C2211yescharacteristic
72C19×#397C2211yescharacteristic
73C19×#396C2211yescharacteristic
74C19×#396C2211yescharacteristic
75C19×#394C2211yescharacteristic
76C19×#394C2211yescharacteristic
77C19×#393C2211yescharacteristic
78C19×#393C2211yescharacteristic
79C19×#391C2211yescharacteristic
80C19×#391C2211yescharacteristic
81C19×#391C2211yescharacteristic
82C19×#390C2211yescharacteristic
83C19×#389C2211yescharacteristic
84C19×#389C2211yescharacteristic
85C19×#389C2211yescharacteristic
86C19×#389C2211yescharacteristic
87C19×#388C2211yescharacteristic
88C19×#388C2211yescharacteristic
89C19×#388C2211yescharacteristic
90C19×#388C2211yescharacteristic
91C19×#388C2211yescharacteristic
92C19×#388C2211yescharacteristic
93C19×#388C2211yescharacteristic
94C19×#388C2211yescharacteristic
95C19×#388C2211yescharacteristic
96C19×#388C2211yescharacteristic
97C19×#388C2211yescharacteristic
98C19×#388C2211yescharacteristic
99C19×#388C2211yescharacteristic
100C19×#388C2211yescharacteristic
101C19×#387C2211yescharacteristic
102C19×#387C2211yescharacteristic
103C19×#387C2211yescharacteristic
104C19×#387C2211yescharacteristic
105C19×#387C2211yescharacteristic
106C19×#387C2211yescharacteristic
107C19×#387C2211yescharacteristic
108C19×#387C2211yescharacteristic
109C19×#387C2211yescharacteristic
110C19×#387C2211yescharacteristic
111C19×#387C2211yescharacteristic
112C19×#387C2211yescharacteristic
113C19×#387C2211yescharacteristic
114C19×#387C2211yescharacteristic
115C19×#387C2211yescharacteristic
116C19×#387C2211yescharacteristic
117C19×#387C2211yescharacteristic
118C19×#387C2211yescharacteristic
119C19×#386C2211yescharacteristic
120C19×#386C2211yescharacteristic
121C19×#386C2211yescharacteristic
122C19×#386C2211yescharacteristic
123C19×#386C2211yescharacteristic
124C19×#386C2211yescharacteristic
125C19×#386C2211yescharacteristic
126C19×#386C2211yescharacteristic
127C19×#385C2211yescharacteristic
128C19×#385C2211yescharacteristic
129C19×#385C2211yescharacteristic
130C19×#385C2211yescharacteristic
131C19×#385C2211yescharacteristic
132C19×#385C2211yescharacteristic
133C19×#385C2211yescharacteristic
134C19×#385C2211yescharacteristic
135C19×#383C2211yescharacteristic
136C19×#383C2211yescharacteristic
137C19×#382C2211yescharacteristic
138C19×#382C2211yescharacteristic
139C19×#381C2211yescharacteristic
140C19×#381C2211yescharacteristic
141C19×#381C2211yescharacteristic
142C19×#381C2211yescharacteristic
143C19×#380C2211yescharacteristic
144C19×#380C2211yescharacteristic
145C19×#380C2211yescharacteristic
146C19×#380C2211yescharacteristic
147C4×C4⋊C4×C19C2211yescharacteristic
148C4×C4⋊C4×C19C2211yescharacteristic
149C4×C4⋊C4×C19C2211yescharacteristic
150C4×C4⋊C4×C19C2211yescharacteristic
151C4×C4⋊C4×C19C2211yescharacteristic
152C4×C4⋊C4×C19C2211yescharacteristic
153C4×C4⋊C4×C19C2211yescharacteristic
154C4×C4⋊C4×C19C2211yescharacteristic
155C4×C4⋊C4×C19C2211yescharacteristic
156C4×C4⋊C4×C19C2211yescharacteristic
157C4×C4⋊C4×C19C2211yescharacteristic
158C4×C4⋊C4×C19C2211yescharacteristic
159C4×C22⋊C4×C19C2211yescharacteristic
160C4×C22⋊C4×C19C2211yescharacteristic
161C4×C22⋊C4×C19C2211yescharacteristic
162C4×C22⋊C4×C19C2211yescharacteristic
163C4×C22⋊C4×C19C2211yescharacteristic
164C4×C22⋊C4×C19C2211yescharacteristic
165C4×C22⋊C4×C19C2211yescharacteristic
166C4×C22⋊C4×C19C2211yescharacteristic
167C4×C22⋊C4×C19C2211yescharacteristic
168C4×C22⋊C4×C19C2211yescharacteristic
169C4×C22⋊C4×C19C2211yescharacteristic
170C4×C22⋊C4×C19C2211yescharacteristic
171C4×C22⋊C4×C19C2211yescharacteristic
172C4×C22⋊C4×C19C2211yescharacteristic
173C19×#376C2211yescharacteristic
174C19×#376C2211yescharacteristic
175C19×#376C2211yescharacteristic
176C19×#376C2211yescharacteristic
177C19×#376C2211yescharacteristic
178C19×#376C2211yescharacteristic
179C19×#376C2211yescharacteristic
180C19×#376C2211yescharacteristic
181C19×#376C2211yescharacteristic
182C2×C19×#95C2211yescharacteristic
183C2×C19×#95C2211yescharacteristic
184C2×C19×#95C2211yescharacteristic
185C2×C19×#95C2211yescharacteristic
186C43×C19C2211yescharacteristic
187C22×Q8×C19C2311yescharacteristic
188C22×D4×C19C2311yescharacteristic
189C22×D4×C19C2311yescharacteristic
190C22×D4×C19C2311yescharacteristic
191C23×C4×C19C2311yescharacteristic
192C23×C4×C19C2311yescharacteristic
193C23×C4×C19C2311yescharacteristic
194C23×C4×C19C2311yescharacteristic
195C23×C4×C19C2311yescharacteristic
196C23×C4×C19C2311yescharacteristic
197C23×C4×C19C2311yescharacteristic
198C23×C4×C19C2311yescharacteristic
199C23×C4×C19C2311yescharacteristic
200C23×C4×C19C2311yescharacteristic
201C23×C4×C19C2311yescharacteristic
202C19×#123—24no—
203C19×#123—24no—
204C19×C22⋊Q8—24no—
205C19×#121—24no—
206C4×Q8×C19—24no—
207C4×D4×C19—24no—
208C4×D4×C19—24no—
209C4×D4×C19—24no—
210C4×D4×C19—24no—
211C4×D4×C19—24no—
212C19×#117—24no—
213C2×C4⋊C4×C19C2311yescharacteristic
214C2×C4⋊C4×C19C2311yescharacteristic
215C2×C4⋊C4×C19C2311yescharacteristic
216C2×C4⋊C4×C19C2311yescharacteristic
217C2×C4⋊C4×C19C2311yescharacteristic
218C2×C4⋊C4×C19C2311yescharacteristic
219C2×C4⋊C4×C19C2311yescharacteristic
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×C22⋊C4×C19C2311yescharacteristic
242C2×C22⋊C4×C19C2311yescharacteristic
243C2×C22⋊C4×C19C2311yescharacteristic
244C2×C22⋊C4×C19C2311yescharacteristic
245C2×C22⋊C4×C19C2311yescharacteristic
246C2×C22⋊C4×C19C2311yescharacteristic
247C2×C22⋊C4×C19C2311yescharacteristic
248C2×C22⋊C4×C19C2311yescharacteristic
249C2×C22⋊C4×C19C2311yescharacteristic
250C2×C22⋊C4×C19C2311yescharacteristic
251C2×C22⋊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×C42×C19—24no—
270C2×C42×C19—24no—
271C2×C42×C19—24no—
272C2×C42×C19—24no—
273C2×C42×C19C2311yescharacteristic
274C2×C42×C19C2311yescharacteristic
275C2×C42×C19C2311yescharacteristic
276C2×C42×C19C2311yescharacteristic
277C2×C42×C19C2311yescharacteristic
278C2×C42×C19C2311yescharacteristic
279C2×C42×C19C2311yescharacteristic
280C2×C42×C19C2311yescharacteristic
281C2×C42×C19C2311yescharacteristic
282C2×C42×C19C2311yescharacteristic
283C2×C42×C19C2311yescharacteristic
284C2×C42×C19C2311yescharacteristic
285C2×C42×C19C2311yescharacteristic
286C2×C42×C19C2311yescharacteristic
287C2×C42×C19C2311yescharacteristic
288C2×C42×C19C2311yescharacteristic
289C2×C42×C19C2311yescharacteristic
290C2×C42×C19C2311yescharacteristic
291C2×C42×C19C2311yescharacteristic
292C2×C42×C19C2311yescharacteristic
293C2×C42×C19C2311yescharacteristic
294C2×C42×C19C2311yescharacteristic
295C2×C42×C19C2311yescharacteristic
296C2×C42×C19C2311yescharacteristic
297C19×#95C2311yescharacteristic
298C19×#95C2311yescharacteristic
299C19×#95C2311yescharacteristic
300C19×#95C2311yescharacteristic
301C19×#95C2311yescharacteristic
302C19×#95C2311yescharacteristic
303C19×#95C2311yescharacteristic
304C19×#95C2311yescharacteristic
305C19×#95C2311yescharacteristic
306C19×#95C2311yescharacteristic
307C19×#95C2311yescharacteristic
308C19×#95C2311yescharacteristic
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
360C2×Q8×C19—22no—
361C2×Q8×C19—22no—
362C2×Q8×C19—41no—
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#4114yes—
372C22×C4×C19—22no—
373C22×C4×C19—22no—
374C22×C4×C19—22no—
375C22×C4×C19—22no—
376C22×C4×C19—22no—
377C22×C4×C19—22no—
378C22×C4×C19—22no—
379C22×C4×C19—22no—
380C22×C4×C19—22no—
381C22×C4×C19—22no—
382C22×C4×C19—22no—
383C22×C4×C19—22no—
384C22×C4×C19—22no—
385C22×C4×C19—22no—
386C22×C4×C19—22no—
387C22×C4×C19—22no—
388C22×C4×C19—22no—
389C22×C4×C19—22no—
390C22×C4×C19—22no—
391C22×C4×C19—22no—
392C22×C4×C19—22no—
393C22×C4×C19—22no—
394C22×C4×C19—22no—
395C22×C4×C19—22no—
396C22×C4×C19—41no—
397C22×C4×C19—41no—
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#4114yes—
405C22×C4×C19C2411yescharacteristic
406C22×C4×C19C2411yescharacteristic
407C22×C4×C19C2411yescharacteristic
408C22×C4×C19C2411yescharacteristic
409C22×C4×C19C2411yescharacteristic
410C22×C4×C19C2411yescharacteristic
411C22×C4×C19C2411yescharacteristic
412C22×C4×C19C2411yescharacteristic
413C22×C4×C19C2411yescharacteristic
414C22×C4×C19C2411yescharacteristic
415C22×C4×C19C2411yescharacteristic
416C22×C4×C19C2411yescharacteristic
417C22×C4×C19C2411yescharacteristic
418C22×C4×C19C2411yescharacteristic
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
433C4⋊C4×C19—22no—
434C4⋊C4×C19—22no—
435C4⋊C4×C19—22no—
436C4⋊C4×C19—22no—
437C4⋊C4×C19—22no—
438C4⋊C4×C19—22no—
439C4⋊C4×C19—22no—
440C4⋊C4×C19—22no—
441C4⋊C4×C19—22no—
442C4⋊C4×C19—22no—
443C4⋊C4×C19—22no—
444C4⋊C4×C19—22no—
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—41no—
452C4⋊C4×C19—41no—
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—
461C22⋊C4×C19—22no—
462C22⋊C4×C19—22no—
463C22⋊C4×C19—22no—
464C22⋊C4×C19—22no—
465C22⋊C4×C19—22no—
466C22⋊C4×C19—22no—
467C22⋊C4×C19—22no—
468C22⋊C4×C19—22no—
469C22⋊C4×C19—22no—
470C22⋊C4×C19—22no—
471C22⋊C4×C19—22no—
472C22⋊C4×C19—22no—
473C22⋊C4×C19—22no—
474C22⋊C4×C19—22no—
475C22⋊C4×C19—22no—
476C22⋊C4×C19—22no—
477C22⋊C4×C19—22no—
478C22⋊C4×C19—22no—
479C22⋊C4×C19—22no—
480C22⋊C4×C19—41no—
481C22⋊C4×C19—41no—
482C22⋊C4×C19—41no—
483C22⋊C4×C19—41no—
484C22⋊C4×C19—41no—
485C22⋊C4×C19—41no—
486C22⋊C4×C19—41no—
487C22⋊C4×C19—41no—
488C22⋊C4×C19#4114yes—
489C42×C19—22no—
490C42×C19—22no—
491C42×C19—22no—
492C42×C19—22no—
493C42×C19—22no—
494C42×C19—22no—
495C42×C19—22no—
496C42×C19—22no—
497C42×C19—22no—
498C42×C19—22no—
499C42×C19—22no—
500C42×C19—22no—
501C42×C19—22no—
502C42×C19—22no—
503C42×C19—22no—
504C42×C19—22no—
505C42×C19—22no—
506C42×C19—22no—
507C42×C19—22no—
508C42×C19—22no—
509C42×C19—41no—
510C42×C19—41no—
511C42×C19#4114yes—
512C42×C19#4114yes—
513#34811C1911yesmaximal, characteristic, direct product factor, Sylow
514C23×C19—21no—
515C23×C19—21no—
516C23×C19—21no—
517C23×C19—21no—
518C23×C19—21no—
519C23×C19—21no—
520C23×C19—21no—
521C23×C19—21no—
522C23×C19—21no—
523C23×C19—21no—
524C23×C19—21no—
525C23×C19—21no—
526C23×C19—21no—
527C23×C19—21no—
528C23×C19—21no—
529C23×C19—21no—
530C23×C19—21no—
531C23×C19C2×#4112yes—
532C23×C19C2×#4112yes—
533C23×C19C2×#4112yes—
534C23×C19C2×#4112yes—
535C23×C19C2511yescharacteristic
536Q8×C19—44no—
537D4×C19—28no—
538D4×C19—44no—
539D4×C19—44no—
540C2×C4×C19—21no—
541C2×C4×C19—21no—
542C2×C4×C19—21no—
543C2×C4×C19—21no—
544C2×C4×C19—21no—
545C2×C4×C19—21no—
546C2×C4×C19—21no—
547C2×C4×C19—21no—
548C2×C4×C19—21no—
549C2×C4×C19—21no—
550C2×C4×C19—21no—
551C2×C4×C19—21no—
552C2×C4×C19—21no—
553C2×C4×C19—21no—
554C2×C4×C19—21no—
555C2×C4×C19—21no—
556C2×C4×C19—28no—
557C2×C4×C19—21no—
558C2×C4×C19—21no—
559C2×C4×C19—21no—
560C2×C4×C19—21no—
561C2×C4×C19—21no—
562C2×C4×C19—21no—
563C2×C4×C19—21no—
564C2×C4×C19—21no—
565C2×C4×C19—21no—
566C2×C4×C19—21no—
567C2×C4×C19—21no—
568C2×C4×C19—21no—
569C2×C4×C19—21no—
570C2×C4×C19—21no—
571C2×C4×C19—21no—
572C2×C4×C19—21no—
573C2×C4×C19—21no—
574C2×C4×C19—21no—
575C2×C4×C19—21no—
576C2×C4×C19—21no—
577C2×C4×C19—21no—
578C2×C4×C19—21no—
579C2×C4×C19—21no—
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—44no—
615C2×C4×C19—44no—
616C2×C4×C19—44no—
617C2×C4×C19—44no—
618C2×C4×C19—44no—
619C2×C4×C19—44no—
620C2×C4×C19—44no—
621C2×C4×C19—44no—
622C2×C4×C19—44no—
623C2×C4×C19—44no—
624C2×C4×C19C2×#4112yes—
625C2×C4×C19C2×#4112yes—
626C2×C4×C19C2×#4112yes—
627C2×C4×C19C2×#4112yes—
628C2×C4×C19C2×#4112yes—
629C2×C4×C19C2×#4112yes—
630C2×C4×C19C2×#4112yes—
631C2×C4×C19C2×#4112yes—
632C2×C4×C19C2×#4112yes—
633C2×C4×C19C2×#4112yes—
634C2×C4×C19C2×#4112yes—
635#2533C2×C1911yescharacteristic, complemented
636#2532C2×C1911yescharacteristic, complemented
637#2531C2×C1911yescharacteristic, complemented
638#2530C2×C1911yescharacteristic, complemented
639#2529C2×C1911yescharacteristic, complemented
640#2528C2×C1911yescharacteristic, complemented
641#2527C2×C1911yescharacteristic, complemented
642#2526C2×C1911yescharacteristic, complemented
643#2510C2×C1911yescharacteristic, complemented
644#2505C2×C1911yescharacteristic, complemented
645#2493C2×C1911yescharacteristic, complemented
646#2488C2×C1911yescharacteristic, complemented
647#2450C2×C1911yescharacteristic, complemented
648#2444C2×C1911yescharacteristic
649#2425C2×C1911yescharacteristic
650#2419C2×C1911yescharacteristic, complemented
651#2402C2×C1911yescharacteristic, complemented
652#2401C2×C1911yescharacteristic, complemented
653#2401C2×C1911yescharacteristic, complemented
654#2398C2×C1911yescharacteristic, complemented
655C4×C22⋊Q8C2×C1911yescharacteristic, complemented
656C4×#123C2×C1911yescharacteristic, complemented
657C4×#123C2×C1911yescharacteristic, complemented
658C4×#121C2×C1911yescharacteristic
659#2298C2×C1911yescharacteristic, complemented
660#2295C2×C1911yescharacteristic, complemented
661#2290C2×C1911yescharacteristic, complemented
662#2290C2×C1911yescharacteristic, complemented
663#2283C2×C1911yescharacteristic, complemented
664C42×D4C2×C1911yescharacteristic, complemented
665C2×#376C2×C1911yescharacteristic, complemented
666C22×C19—22no—
667C22×C19—22no—
668C22×C19—22no—
669C22×C19—22no—
670C22×C19—22no—
671C22×C19—22no—
672C22×C19—22no—
673C22×C19—22no—
674C22×C19—22no—
675C22×C19—41no—
676C22×C19—41no—
677C22×C19—41no—
678C22×C19—41no—
679C22×C19—41no—
680C22×C19—41no—
681C22×C19—41no—
682C22×C19—41no—
683C22×C19—41no—
684C22×C19—41no—
685C22×C19—41no—
686C22×C19#52914yes—
687C22×C19C22×#4111yescharacteristic
688C22×C19C22×#4111yescharacteristic
689C22×C19C22×#4111yescharacteristic
690C22×C19C22×#4111yescharacteristic
691C22×C19C22×#4111yescharacteristic
692C22×C19#58511yescharacteristic
693C22×C19#58511yescharacteristic
694C4×C19—22no—
695C4×C19—22no—
696C4×C19—22no—
697C4×C19—22no—
698C4×C19—22no—
699C4×C19—22no—
700C4×C19—22no—
701C4×C19—22no—
702C4×C19—41no—
703C4×C19—41no—
704C4×C19—41no—
705C4×C19—41no—
706C4×C19—41no—
707C4×C19—41no—
708C4×C19—41no—
709C4×C19—41no—
710C4×C19—41no—
711C4×C19—41no—
712C4×C19—41no—
713C4×C19—41no—
714C4×C19—41no—
715C4×C19—41no—
716C4×C19—41no—
717C4×C19—41no—
718C4×C19—41no—
719C4×C19—41no—
720C4×C19—41no—
721C4×C19#52914yes—
722C2×#123C22×C1911yescharacteristic
723C2×#123C22×C1911yescharacteristic
724C2×C22⋊Q8C22×C1911yescharacteristic
725C2×#121C22×C1911yescharacteristic
726C2×C4×Q8C22×C1911yescharacteristic
727C2×C4×D4C22×C1911yescharacteristic
728C2×C4×D4C22×C1911yescharacteristic
729C2×C4×D4C22×C1911yescharacteristic
730C2×C4×D4C22×C1911yescharacteristic
731C2×C4×D4C22×C1911yescharacteristic
732C2×#117C22×C1911yescharacteristic
733C22×C42C22×C1911yescharacteristic
734C22×C42C22×C1911yescharacteristic
735C22×C42C22×C1911yescharacteristic
736C22×C42C22×C1911yescharacteristic
737#401C22×C1911yescharacteristic
738#401C22×C1911yescharacteristic
739#400C22×C1911yescharacteristic
740#400C22×C1911yescharacteristic
741#400C22×C1911yescharacteristic
742#400C22×C1911yescharacteristic
743#400C22×C1911yescharacteristic
744#400C22×C1911yescharacteristic
745#400C22×C1911yescharacteristic
746#400C22×C1911yescharacteristic
747#400C22×C1911yescharacteristic
748#400C22×C1911yescharacteristic
749#400C22×C1911yescharacteristic
750#400C22×C1911yescharacteristic
751#398C22×C1911yescharacteristic
752#398C22×C1911yescharacteristic
753#398C22×C1911yescharacteristic
754#398C22×C1911yescharacteristic
755#397C22×C1911yescharacteristic
756#397C22×C1911yescharacteristic
757#397C22×C1911yescharacteristic
758#397C22×C1911yescharacteristic
759#397C22×C1911yescharacteristic
760#397C22×C1911yescharacteristic
761#397C22×C1911yescharacteristic
762#397C22×C1911yescharacteristic
763#396C22×C1911yescharacteristic
764#396C22×C1911yescharacteristic
765#394C22×C1911yescharacteristic
766#394C22×C1911yescharacteristic
767#393C22×C1911yescharacteristic
768#393C22×C1911yescharacteristic
769#391C22×C1911yescharacteristic
770#391C22×C1911yescharacteristic
771#391C22×C1911yescharacteristic
772#390C22×C1911yescharacteristic
773#389C22×C1911yescharacteristic
774#389C22×C1911yescharacteristic
775#389C22×C1911yescharacteristic
776#389C22×C1911yescharacteristic
777#388C22×C1911yescharacteristic
778#388C22×C1911yescharacteristic
779#388C22×C1911yescharacteristic
780#388C22×C1911yescharacteristic
781#388C22×C1911yescharacteristic
782#388C22×C1911yescharacteristic
783#388C22×C1911yescharacteristic
784#388C22×C1911yescharacteristic
785#388C22×C1911yescharacteristic
786#388C22×C1911yescharacteristic
787#388C22×C1911yescharacteristic
788#388C22×C1911yescharacteristic
789#388C22×C1911yescharacteristic
790#388C22×C1911yescharacteristic
791#387C22×C1911yescharacteristic
792#387C22×C1911yescharacteristic
793#387C22×C1911yescharacteristic
794#387C22×C1911yescharacteristic
795#387C22×C1911yescharacteristic
796#387C22×C1911yescharacteristic
797#387C22×C1911yescharacteristic
798#387C22×C1911yescharacteristic
799#387C22×C1911yescharacteristic
800#387C22×C1911yescharacteristic
801#387C22×C1911yescharacteristic
802#387C22×C1911yescharacteristic
803#387C22×C1911yescharacteristic
804#387C22×C1911yescharacteristic
805#387C22×C1911yescharacteristic
806#387C22×C1911yescharacteristic
807#387C22×C1911yescharacteristic
808#387C22×C1911yescharacteristic
809#386C22×C1911yescharacteristic
810#386C22×C1911yescharacteristic
811#386C22×C1911yescharacteristic
812#386C22×C1911yescharacteristic
813#386C22×C1911yescharacteristic
814#386C22×C1911yescharacteristic
815#386C22×C1911yescharacteristic
816#386C22×C1911yescharacteristic
817#385C22×C1911yescharacteristic
818#385C22×C1911yescharacteristic
819#385C22×C1911yescharacteristic
820#385C22×C1911yescharacteristic
821#385C22×C1911yescharacteristic
822#385C22×C1911yescharacteristic
823#385C22×C1911yescharacteristic
824#385C22×C1911yescharacteristic
825#383C22×C1911yescharacteristic
826#383C22×C1911yescharacteristic
827#382C22×C1911yescharacteristic
828#382C22×C1911yescharacteristic
829#381C22×C1911yescharacteristic
830#381C22×C1911yescharacteristic
831#381C22×C1911yescharacteristic
832#381C22×C1911yescharacteristic
833#380C22×C1911yescharacteristic
834#380C22×C1911yescharacteristic
835#380C22×C1911yescharacteristic
836#380C22×C1911yescharacteristic
837C4×C4⋊C4C22×C1911yescharacteristic
838C4×C4⋊C4C22×C1911yescharacteristic
839C4×C4⋊C4C22×C1911yescharacteristic
840C4×C4⋊C4C22×C1911yescharacteristic
841C4×C4⋊C4C22×C1911yescharacteristic
842C4×C4⋊C4C22×C1911yescharacteristic
843C4×C4⋊C4C22×C1911yescharacteristic
844C4×C4⋊C4C22×C1911yescharacteristic
845C4×C4⋊C4C22×C1911yescharacteristic
846C4×C4⋊C4C22×C1911yescharacteristic
847C4×C4⋊C4C22×C1911yescharacteristic
848C4×C4⋊C4C22×C1911yescharacteristic
849C4×C22⋊C4C22×C1911yescharacteristic
850C4×C22⋊C4C22×C1911yescharacteristic
851C4×C22⋊C4C22×C1911yescharacteristic
852C4×C22⋊C4C22×C1911yescharacteristic
853C4×C22⋊C4C22×C1911yescharacteristic
854C4×C22⋊C4C22×C1911yescharacteristic
855C4×C22⋊C4C22×C1911yescharacteristic
856C4×C22⋊C4C22×C1911yescharacteristic
857C4×C22⋊C4C22×C1911yescharacteristic
858C4×C22⋊C4C22×C1911yescharacteristic
859C4×C22⋊C4C22×C1911yescharacteristic
860C4×C22⋊C4C22×C1911yescharacteristic
861C4×C22⋊C4C22×C1911yescharacteristic
862C4×C22⋊C4C22×C1911yescharacteristic
863#376C22×C1911yescharacteristic
864#376C22×C1911yescharacteristic
865#376C22×C1911yescharacteristic
866#376C22×C1911yescharacteristic
867#376C22×C1911yescharacteristic
868#376C22×C1911yescharacteristic
869#376C22×C1911yescharacteristic
870#376C22×C1911yescharacteristic
871#376C22×C1911yescharacteristic
872C2×#95C22×C1911yescharacteristic
873C2×#95C22×C1911yescharacteristic
874C2×#95C22×C1911yescharacteristic
875C2×#95C22×C1911yescharacteristic
876C43C22×C1911yescharacteristic
877C2×C19—24no—
878C2×C19—42no—
879C2×C19—81no—
880C2×C19C2×#52911yescharacteristic
881C2×C19C2×#52911yescharacteristic
882C2×C19#345511yescharacteristic
883C2×C19#347511yescharacteristic
884C2×C19#347511yescharacteristic
885C2×C19#347511yescharacteristic
886C2×C19#347511yescharacteristic
887C22×Q8C23×C1911yescharacteristic
888C22×D4C23×C1911yescharacteristic
889C22×D4C23×C1911yescharacteristic
890C22×D4C23×C1911yescharacteristic
891C23×C4C23×C1911yescharacteristic
892C23×C4C23×C1911yescharacteristic
893C23×C4C23×C1911yescharacteristic
894C23×C4C23×C1911yescharacteristic
895C23×C4C23×C1911yescharacteristic
896C23×C4C23×C1911yescharacteristic
897C23×C4C23×C1911yescharacteristic
898C23×C4C23×C1911yescharacteristic
899C23×C4C23×C1911yescharacteristic
900C23×C4C23×C1911yescharacteristic
901C23×C4C23×C1911yescharacteristic
902#123—24no—
903#123—24no—
904C22⋊Q8—24no—
905#121—24no—
906C4×Q8—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—24no—
912#117—24no—
913C2×C4⋊C4C23×C1911yescharacteristic
914C2×C4⋊C4C23×C1911yescharacteristic
915C2×C4⋊C4C23×C1911yescharacteristic
916C2×C4⋊C4C23×C1911yescharacteristic
917C2×C4⋊C4C23×C1911yescharacteristic
918C2×C4⋊C4C23×C1911yescharacteristic
919C2×C4⋊C4C23×C1911yescharacteristic
920C2×C4⋊C4C23×C1911yescharacteristic
921C2×C4⋊C4C23×C1911yescharacteristic
922C2×C4⋊C4C23×C1911yescharacteristic
923C2×C4⋊C4C23×C1911yescharacteristic
924C2×C4⋊C4C23×C1911yescharacteristic
925C2×C4⋊C4C23×C1911yescharacteristic
926C2×C4⋊C4C23×C1911yescharacteristic
927C2×C4⋊C4C23×C1911yescharacteristic
928C2×C4⋊C4C23×C1911yescharacteristic
929C2×C4⋊C4C23×C1911yescharacteristic
930C2×C4⋊C4C23×C1911yescharacteristic
931C2×C4⋊C4C23×C1911yescharacteristic
932C2×C4⋊C4C23×C1911yescharacteristic
933C2×C4⋊C4C23×C1911yescharacteristic
934C2×C4⋊C4C23×C1911yescharacteristic
935C2×C4⋊C4C23×C1911yescharacteristic
936C2×C4⋊C4C23×C1911yescharacteristic
937C2×C4⋊C4C23×C1911yescharacteristic
938C2×C4⋊C4C23×C1911yescharacteristic
939C2×C4⋊C4C23×C1911yescharacteristic
940C2×C4⋊C4C23×C1911yescharacteristic
941C2×C22⋊C4C23×C1911yescharacteristic
942C2×C22⋊C4C23×C1911yescharacteristic
943C2×C22⋊C4C23×C1911yescharacteristic
944C2×C22⋊C4C23×C1911yescharacteristic
945C2×C22⋊C4C23×C1911yescharacteristic
946C2×C22⋊C4C23×C1911yescharacteristic
947C2×C22⋊C4C23×C1911yescharacteristic
948C2×C22⋊C4C23×C1911yescharacteristic
949C2×C22⋊C4C23×C1911yescharacteristic
950C2×C22⋊C4C23×C1911yescharacteristic
951C2×C22⋊C4C23×C1911yescharacteristic
952C2×C22⋊C4C23×C1911yescharacteristic
953C2×C22⋊C4C23×C1911yescharacteristic
954C2×C22⋊C4C23×C1911yescharacteristic
955C2×C22⋊C4C23×C1911yescharacteristic
956C2×C22⋊C4C23×C1911yescharacteristic
957C2×C22⋊C4C23×C1911yescharacteristic
958C2×C22⋊C4C23×C1911yescharacteristic
959C2×C22⋊C4C23×C1911yescharacteristic
960C2×C22⋊C4C23×C1911yescharacteristic
961C2×C22⋊C4C23×C1911yescharacteristic
962C2×C22⋊C4C23×C1911yescharacteristic
963C2×C22⋊C4C23×C1911yescharacteristic
964C2×C22⋊C4C23×C1911yescharacteristic
965C2×C22⋊C4C23×C1911yescharacteristic
966C2×C22⋊C4C23×C1911yescharacteristic
967C2×C22⋊C4C23×C1911yescharacteristic
968C2×C22⋊C4C23×C1911yescharacteristic
969C2×C42—24no—
970C2×C42—24no—
971C2×C42—24no—
972C2×C42—24no—
973C2×C42C23×C1911yescharacteristic
974C2×C42C23×C1911yescharacteristic
975C2×C42C23×C1911yescharacteristic
976C2×C42C23×C1911yescharacteristic
977C2×C42C23×C1911yescharacteristic
978C2×C42C23×C1911yescharacteristic
979C2×C42C23×C1911yescharacteristic
980C2×C42C23×C1911yescharacteristic
981C2×C42C23×C1911yescharacteristic
982C2×C42C23×C1911yescharacteristic
983C2×C42C23×C1911yescharacteristic
984C2×C42C23×C1911yescharacteristic
985C2×C42C23×C1911yescharacteristic
986C2×C42C23×C1911yescharacteristic
987C2×C42C23×C1911yescharacteristic
988C2×C42C23×C1911yescharacteristic
989C2×C42C23×C1911yescharacteristic
990C2×C42C23×C1911yescharacteristic
991C2×C42C23×C1911yescharacteristic
992C2×C42C23×C1911yescharacteristic
993C2×C42C23×C1911yescharacteristic
994C2×C42C23×C1911yescharacteristic
995C2×C42C23×C1911yescharacteristic
996C2×C42C23×C1911yescharacteristic
997#95C23×C1911yescharacteristic
998#95C23×C1911yescharacteristic
999#95C23×C1911yescharacteristic
1000#95C23×C1911yescharacteristic
1001#95C23×C1911yescharacteristic
1002#95C23×C1911yescharacteristic
1003#95C23×C1911yescharacteristic
1004#95C23×C1911yescharacteristic
1005#95C23×C1911yescharacteristic
1006#95C23×C1911yescharacteristic
1007#95C23×C1911yescharacteristic
1008#95C23×C1911yescharacteristic
1009#95C23×C1911yescharacteristic
1010#95C23×C1911yescharacteristic
1011#95C23×C1911yescharacteristic
1012#95C23×C1911yescharacteristic
1013#95C23×C1911yescharacteristic
1014#95C23×C1911yescharacteristic
1015#95C23×C1911yescharacteristic
1016#95C23×C1911yescharacteristic
1017#95C23×C1911yescharacteristic
1018#95C23×C1911yescharacteristic
1019#95C23×C1911yescharacteristic
1020#95C23×C1911yescharacteristic
1021#95C23×C1911yescharacteristic
1022#95C23×C1911yescharacteristic
1023#95C23×C1911yescharacteristic
1024#95C23×C1911yescharacteristic
1025#95C23×C1911yescharacteristic
1026#95C23×C1911yescharacteristic
1027#95C23×C1911yescharacteristic
1028#95C23×C1911yescharacteristic
1029#95C23×C1911yescharacteristic
1030#95C23×C1911yescharacteristic
1031#95C23×C1911yescharacteristic
1032#95C23×C1911yescharacteristic
1033#95C23×C1911yescharacteristic
1034#95C23×C1911yescharacteristic
1035#95C23×C1911yescharacteristic
1036#95C23×C1911yescharacteristic
1037#95C23×C1911yescharacteristic
1038#95C23×C1911yescharacteristic
1039#95C23×C1911yescharacteristic
1040#95C23×C1911yescharacteristic
1041#95C23×C1911yescharacteristic
1042#95C23×C1911yescharacteristic
1043#95C23×C1911yescharacteristic
1044#95C23×C1911yescharacteristic
1045#95C23×C1911yescharacteristic
1046#95C23×C1911yescharacteristic
1047#95C23×C1911yescharacteristic
1048#95C23×C1911yescharacteristic
1049#95C23×C1911yescharacteristic
1050#95C23×C1911yescharacteristic
1051#95C23×C1911yescharacteristic
1052#95C23×C1911yescharacteristic
1053#95C23×C1911yescharacteristic
1054#95C23×C1911yescharacteristic
1055#95C23×C1911yescharacteristic
1056#95C23×C1911yescharacteristic
1057C19#3481111yescharacteristic, direct product factor, Sylow
1058C24C24×C1911yescharacteristic
1059C24C24×C1911yescharacteristic
1060C24C24×C1911yescharacteristic
1061C2×Q8—22no—
1062C2×Q8—22no—
1063C2×Q8—41no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—41no—
1072C2×D4#41×C1914yes—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4#41×C1914yes—
1106C22×C4C24×C1911yescharacteristic
1107C22×C4C24×C1911yescharacteristic
1108C22×C4C24×C1911yescharacteristic
1109C22×C4C24×C1911yescharacteristic
1110C22×C4C24×C1911yescharacteristic
1111C22×C4C24×C1911yescharacteristic
1112C22×C4C24×C1911yescharacteristic
1113C22×C4C24×C1911yescharacteristic
1114C22×C4C24×C1911yescharacteristic
1115C22×C4C24×C1911yescharacteristic
1116C22×C4C24×C1911yescharacteristic
1117C22×C4C24×C1911yescharacteristic
1118C22×C4C24×C1911yescharacteristic
1119C22×C4C24×C1911yescharacteristic
1120C22×C4C24×C1911yescharacteristic
1121C22×C4C24×C1911yescharacteristic
1122C22×C4C24×C1911yescharacteristic
1123C22×C4C24×C1911yescharacteristic
1124C22×C4C24×C1911yescharacteristic
1125C22×C4C24×C1911yescharacteristic
1126C22×C4C24×C1911yescharacteristic
1127C22×C4C24×C1911yescharacteristic
1128C22×C4C24×C1911yescharacteristic
1129C22×C4C24×C1911yescharacteristic
1130C22×C4C24×C1911yescharacteristic
1131C22×C4C24×C1911yescharacteristic
1132C22×C4C24×C1911yescharacteristic
1133C22×C4C24×C1911yescharacteristic
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4#41×C1914yes—
1190C42—22no—
1191C42—22no—
1192C42—22no—
1193C42—22no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—22no—
1205C42—22no—
1206C42—22no—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—41no—
1211C42—41no—
1212C42#41×C1914yes—
1213C42#41×C1914yes—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C2×#41×C1912yes—
1232C23C2×#41×C1912yes—
1233C23C2×#41×C1912yes—
1234C23C2×#41×C1912yes—
1235C23C25×C1911yescharacteristic
1236Q8—44no—
1237D4—28no—
1238D4—44no—
1239D4—44no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—28no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
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—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
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—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4—44no—
1323C2×C4—44no—
1324C2×C4C2×#41×C1912yes—
1325C2×C4C2×#41×C1912yes—
1326C2×C4C2×#41×C1912yes—
1327C2×C4C2×#41×C1912yes—
1328C2×C4C2×#41×C1912yes—
1329C2×C4C2×#41×C1912yes—
1330C2×C4C2×#41×C1912yes—
1331C2×C4C2×#41×C1912yes—
1332C2×C4C2×#41×C1912yes—
1333C2×C4C2×#41×C1912yes—
1334C2×C4C2×#41×C1912yes—
1335C22—22no—
1336C22—22no—
1337C22—22no—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22C19×#52914yes—
1356C22C22×#41×C1911yescharacteristic
1357C22C22×#41×C1911yescharacteristic
1358C22C22×#41×C1911yescharacteristic
1359C22C22×#41×C1911yescharacteristic
1360C22C22×#41×C1911yescharacteristic
1361C22C19×#58511yescharacteristic
1362C22C19×#58511yescharacteristic
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—22no—
1369C4—22no—
1370C4—22no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—41no—
1389C4—41no—
1390C4C19×#52914yes—
1391C2—24no—
1392C2—42no—
1393C2—81no—
1394C2C2×C19×#52911yescharacteristic
1395C2C2×C19×#52911yescharacteristic
1396C2C19×#345511yescharacteristic
1397C2C19×#347511yescharacteristic
1398C2C19×#347511yescharacteristic
1399C2C19×#347511yescharacteristic
1400C2C19×#347511yescharacteristic
subgroupG/H
centerC22×C4×C19C24
commutator, Frattini, cosocleC23C25×C19
socleC23×C19C25
prime radicalC2×C19×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2533C2semidirect
2. C19×#2532C2semidirect
3. C19×#2531C2semidirect
4. C19×#2530C2semidirect
5. C19×#2529C2semidirect
6. C19×#2528C2semidirect
7. C19×#2527C2semidirect
8. C19×#2526C2semidirect
9. C19×#2510C2semidirect
10. C19×#2505C2semidirect
11. C19×#2493C2semidirect
12. C19×#2488C2semidirect
13. C19×#2450C2semidirect
16. C19×#2419C2semidirect
17. C19×#2402C2semidirect
18. C19×#2401C2semidirect
19. C19×#2401C2semidirect
20. C19×#2398C2semidirect
21. C4×C19×C22⋊Q8C2semidirect
22. C4×C19×#123C2semidirect
23. C4×C19×#123C2semidirect
25. C19×#2298C2semidirect
26. C19×#2295C2semidirect
27. C19×#2290C2semidirect
28. C19×#2290C2semidirect
29. C19×#2283C2semidirect
30. C42×D4×C19C2semidirect
31. C2×C19×#376C2semidirect
513. #34811C19direct (N × H)
635. #2533C2×C19semidirect
636. #2532C2×C19semidirect
637. #2531C2×C19semidirect
638. #2530C2×C19semidirect
639. #2529C2×C19semidirect
640. #2528C2×C19semidirect
641. #2527C2×C19semidirect
642. #2526C2×C19semidirect
643. #2510C2×C19semidirect
644. #2505C2×C19semidirect
645. #2493C2×C19semidirect
646. #2488C2×C19semidirect
647. #2450C2×C19semidirect
650. #2419C2×C19semidirect
651. #2402C2×C19semidirect
652. #2401C2×C19semidirect
653. #2401C2×C19semidirect
654. #2398C2×C19semidirect
655. C4×C22⋊Q8C2×C19semidirect
656. C4×#123C2×C19semidirect
657. C4×#123C2×C19semidirect
659. #2298C2×C19semidirect
660. #2295C2×C19semidirect
661. #2290C2×C19semidirect
662. #2290C2×C19semidirect
663. #2283C2×C19semidirect
664. C42×D4C2×C19semidirect
665. C2×#376C2×C19semidirect
1057. C19#34811direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#25332
C19×#25322
C19×#25312
C19×#25302
C19×#25292
C19×#25282
C19×#25272
C19×#25262
C19×#25102
C19×#25052
C19×#24932
C19×#24882
C19×#24502
C19×#24442
C19×#24252
C19×#24192
C19×#24022
C19×#24012
C19×#23982
C4×C19×C22⋊Q82
C4×C19×#1232
C4×C19×#1212
C19×#22982
C19×#22952
C19×#22902
C19×#22832
C42×D4×C192
C2×C19×#3762
#3481119