Finite Group Databasebeta

← C19×#34812 #18040771

Subgroups — C19×#34812 #18040771

Order 4864.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2525C211yesmaximal, characteristic, complemented
2C19×#2524C211yesmaximal, characteristic, complemented
3C19×#2523C211yesmaximal, characteristic, complemented
4C19×#2522C211yesmaximal, characteristic, complemented
5C19×#2521C211yesmaximal, characteristic, complemented
6C19×#2520C211yesmaximal, characteristic, complemented
7C19×#2519C211yesmaximal, characteristic, complemented
8C19×#2518C211yesmaximal, characteristic, complemented
9C19×#2518C211yesmaximal, characteristic, complemented
10C19×#2517C211yesmaximal, characteristic, complemented
11C19×#2516C211yesmaximal, characteristic, complemented
12C19×#2515C211yesmaximal, characteristic, complemented
13C19×#2467C211yesmaximal, characteristic
14C19×#2466C211yesmaximal, characteristic, complemented
15C19×#2460C211yesmaximal, characteristic, complemented
16C19×#2459C211yesmaximal, characteristic
17C19×#2396C211yesmaximal, characteristic, complemented
18C19×#2395C211yesmaximal, characteristic, complemented
19C19×#2395C211yesmaximal, characteristic, complemented
20C19×#2392C211yesmaximal, characteristic
21C4×C19×#125C211yesmaximal, characteristic, complemented
22C4×C19×#126C211yesmaximal, characteristic, complemented
23C4×C19×#126C211yesmaximal, characteristic, complemented
24C4×C19×#124C211yesmaximal, characteristic, complemented
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
31C4×C19×#117C211yesmaximal, characteristic, complemented
32C2×C19×#126C2211yescharacteristic
33C2×C19×#126C2211yescharacteristic
34C2×C19×#125C2211yescharacteristic
35C2×C19×#124C2211yescharacteristic
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
43C2×C19×#117C2211yescharacteristic
44C2×C19×#117C2211yescharacteristic
45C22×C42×C19C2211yescharacteristic
46C22×C42×C19C2211yescharacteristic
47C19×#400C2211yescharacteristic
48C19×#400C2211yescharacteristic
49C19×#400C2211yescharacteristic
50C19×#399C2211yescharacteristic
51C19×#399C2211yescharacteristic
52C19×#399C2211yescharacteristic
53C19×#398C2211yescharacteristic
54C19×#398C2211yescharacteristic
55C19×#398C2211yescharacteristic
56C19×#398C2211yescharacteristic
57C19×#398C2211yescharacteristic
58C19×#397C2211yescharacteristic
59C19×#397C2211yescharacteristic
60C19×#397C2211yescharacteristic
61C19×#397C2211yescharacteristic
62C19×#397C2211yescharacteristic
63C19×#397C2211yescharacteristic
64C19×#397C2211yescharacteristic
65C19×#396C2211yescharacteristic
66C19×#396C2211yescharacteristic
67C19×#396C2211yescharacteristic
68C19×#396C2211yescharacteristic
69C19×#395C2211yescharacteristic
70C19×#394C2211yescharacteristic
71C19×#394C2211yescharacteristic
72C19×#394C2211yescharacteristic
73C19×#394C2211yescharacteristic
74C19×#394C2211yescharacteristic
75C19×#394C2211yescharacteristic
76C19×#394C2211yescharacteristic
77C19×#393C2211yescharacteristic
78C19×#392C2211yescharacteristic
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×#388C2211yescharacteristic
102C19×#388C2211yescharacteristic
103C19×#388C2211yescharacteristic
104C19×#388C2211yescharacteristic
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×#387C2211yescharacteristic
120C19×#387C2211yescharacteristic
121C19×#387C2211yescharacteristic
122C19×#387C2211yescharacteristic
123C19×#387C2211yescharacteristic
124C19×#387C2211yescharacteristic
125C19×#387C2211yescharacteristic
126C19×#387C2211yescharacteristic
127C19×#386C2211yescharacteristic
128C19×#386C2211yescharacteristic
129C19×#386C2211yescharacteristic
130C19×#386C2211yescharacteristic
131C19×#385C2211yescharacteristic
132C19×#385C2211yescharacteristic
133C19×#385C2211yescharacteristic
134C19×#385C2211yescharacteristic
135C19×#383C2211yescharacteristic
136C19×#383C2211yescharacteristic
137C19×#383C2211yescharacteristic
138C19×#383C2211yescharacteristic
139C19×#382C2211yescharacteristic
140C19×#382C2211yescharacteristic
141C19×#382C2211yescharacteristic
142C19×#382C2211yescharacteristic
143C19×#381C2211yescharacteristic
144C19×#381C2211yescharacteristic
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×C4⋊C4×C19C2211yescharacteristic
160C4×C4⋊C4×C19C2211yescharacteristic
161C4×C4⋊C4×C19C2211yescharacteristic
162C4×C4⋊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
173C4×C22⋊C4×C19C2211yescharacteristic
174C4×C22⋊C4×C19C2211yescharacteristic
175C4×C22⋊C4×C19C2211yescharacteristic
176C4×C22⋊C4×C19C2211yescharacteristic
177C4×C22⋊C4×C19C2211yescharacteristic
178C4×C22⋊C4×C19C2211yescharacteristic
179C4×C22⋊C4×C19C2211yescharacteristic
180C4×C22⋊C4×C19C2211yescharacteristic
181C19×#376C2211yescharacteristic
182C19×#376C2211yescharacteristic
183C19×#376C2211yescharacteristic
184C43×C19C2211yescharacteristic
185C43×C19C2211yescharacteristic
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
198C19×#126—24no—
199C19×#126—24no—
200C19×#125—24no—
201C19×#124—24no—
202C4×Q8×C19—24no—
203C4×D4×C19—24no—
204C4×D4×C19—24no—
205C4×D4×C19—24no—
206C4×D4×C19—24no—
207C4×D4×C19—24no—
208C19×#117—24no—
209C19×#117—24no—
210C19×#117—24no—
211C2×C4⋊C4×C19C2311yescharacteristic
212C2×C4⋊C4×C19C2311yescharacteristic
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×C4⋊C4×C19C2311yescharacteristic
242C2×C4⋊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×C22⋊C4×C19C2311yescharacteristic
270C2×C22⋊C4×C19C2311yescharacteristic
271C2×C22⋊C4×C19C2311yescharacteristic
272C2×C22⋊C4×C19C2311yescharacteristic
273C2×C22⋊C4×C19C2311yescharacteristic
274C2×C22⋊C4×C19C2311yescharacteristic
275C2×C42×C19—24no—
276C2×C42×C19—24no—
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
297C2×C42×C19C2311yescharacteristic
298C2×C42×C19C2311yescharacteristic
299C2×C42×C19C2311yescharacteristic
300C2×C42×C19C2311yescharacteristic
301C2×C42×C19C2311yescharacteristic
302C2×C42×C19C2311yescharacteristic
303C2×C42×C19C2311yescharacteristic
304C2×C42×C19C2311yescharacteristic
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—41no—
370C2×D4×C19—41no—
371C2×D4×C19—41no—
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—41no—
389C22×C4×C19—41no—
390C22×C4×C19—41no—
391C22×C4×C19—41no—
392C22×C4×C19#4114yes—
393C22×C4×C19C2411yescharacteristic
394C22×C4×C19C2411yescharacteristic
395C22×C4×C19C2411yescharacteristic
396C22×C4×C19C2411yescharacteristic
397C22×C4×C19C2411yescharacteristic
398C22×C4×C19C2411yescharacteristic
399C22×C4×C19C2411yescharacteristic
400C22×C4×C19C2411yescharacteristic
401C22×C4×C19C2411yescharacteristic
402C22×C4×C19C2411yescharacteristic
403C22×C4×C19C2411yescharacteristic
404C22×C4×C19C2411yescharacteristic
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
421C4⋊C4×C19—22no—
422C4⋊C4×C19—22no—
423C4⋊C4×C19—22no—
424C4⋊C4×C19—22no—
425C4⋊C4×C19—22no—
426C4⋊C4×C19—22no—
427C4⋊C4×C19—22no—
428C4⋊C4×C19—22no—
429C4⋊C4×C19—22no—
430C4⋊C4×C19—22no—
431C4⋊C4×C19—22no—
432C4⋊C4×C19—22no—
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—41no—
445C4⋊C4×C19—41no—
446C4⋊C4×C19—41no—
447C4⋊C4×C19—41no—
448C4⋊C4×C19—41no—
449C4⋊C4×C19—41no—
450C4⋊C4×C19—41no—
451C4⋊C4×C19—41no—
452C4⋊C4×C19#4114yes—
453C22⋊C4×C19—22no—
454C22⋊C4×C19—22no—
455C22⋊C4×C19—22no—
456C22⋊C4×C19—22no—
457C22⋊C4×C19—22no—
458C22⋊C4×C19—22no—
459C22⋊C4×C19—22no—
460C22⋊C4×C19—22no—
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—41no—
477C22⋊C4×C19—41no—
478C22⋊C4×C19—41no—
479C22⋊C4×C19—41no—
480C22⋊C4×C19—41no—
481C22⋊C4×C19—41no—
482C22⋊C4×C19—41no—
483C22⋊C4×C19—41no—
484C22⋊C4×C19#4114yes—
485C42×C19—22no—
486C42×C19—22no—
487C42×C19—22no—
488C42×C19—22no—
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—41no—
506C42×C19—41no—
507C42×C19—41no—
508C42×C19—41no—
509C42×C19—41no—
510C42×C19—41no—
511C42×C19#4114yes—
512C42×C19#4114yes—
513#34812C1911yesmaximal, 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×C19—21no—
532C23×C19—21no—
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—21no—
557C2×C4×C19—21no—
558C2×C4×C19—21no—
559C2×C4×C19—21no—
560C2×C4×C19—28no—
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—44no—
613C2×C4×C19—44no—
614C2×C4×C19—44no—
615C2×C4×C19—44no—
616C2×C4×C19—44no—
617C2×C4×C19—44no—
618C2×C4×C19C2×#4112yes—
619C2×C4×C19C2×#4112yes—
620C2×C4×C19C2×#4112yes—
621C2×C4×C19C2×#4112yes—
622C2×C4×C19C2×#4112yes—
623C2×C4×C19C2×#4112yes—
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—
631#2525C2×C1911yescharacteristic, complemented
632#2524C2×C1911yescharacteristic, complemented
633#2523C2×C1911yescharacteristic, complemented
634#2522C2×C1911yescharacteristic, complemented
635#2521C2×C1911yescharacteristic, complemented
636#2520C2×C1911yescharacteristic, complemented
637#2519C2×C1911yescharacteristic, complemented
638#2518C2×C1911yescharacteristic, complemented
639#2518C2×C1911yescharacteristic, complemented
640#2517C2×C1911yescharacteristic, complemented
641#2516C2×C1911yescharacteristic, complemented
642#2515C2×C1911yescharacteristic, complemented
643#2467C2×C1911yescharacteristic
644#2466C2×C1911yescharacteristic, complemented
645#2460C2×C1911yescharacteristic, complemented
646#2459C2×C1911yescharacteristic
647#2396C2×C1911yescharacteristic, complemented
648#2395C2×C1911yescharacteristic, complemented
649#2395C2×C1911yescharacteristic, complemented
650#2392C2×C1911yescharacteristic
651C4×#125C2×C1911yescharacteristic, complemented
652C4×#126C2×C1911yescharacteristic, complemented
653C4×#126C2×C1911yescharacteristic, complemented
654C4×#124C2×C1911yescharacteristic, complemented
655#2298C2×C1911yescharacteristic, complemented
656#2295C2×C1911yescharacteristic, complemented
657#2290C2×C1911yescharacteristic, complemented
658#2290C2×C1911yescharacteristic, complemented
659#2283C2×C1911yescharacteristic, complemented
660C42×D4C2×C1911yescharacteristic, complemented
661C4×#117C2×C1911yescharacteristic, complemented
662C22×C19—22no—
663C22×C19—22no—
664C22×C19—22no—
665C22×C19—22no—
666C22×C19—22no—
667C22×C19—22no—
668C22×C19—41no—
669C22×C19—41no—
670C22×C19—41no—
671C22×C19—41no—
672C22×C19—41no—
673C22×C19—41no—
674C22×C19—41no—
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×C19C22×#4111yescharacteristic
684C22×C19C22×#4111yescharacteristic
685C22×C19C22×#4111yescharacteristic
686C22×C19C22×#4111yescharacteristic
687C22×C19C22×#4111yescharacteristic
688C22×C19#58511yescharacteristic
689C22×C19#58511yescharacteristic
690C4×C19—22no—
691C4×C19—22no—
692C4×C19—22no—
693C4×C19—22no—
694C4×C19—22no—
695C4×C19—22no—
696C4×C19—22no—
697C4×C19—22no—
698C4×C19—22no—
699C4×C19—22no—
700C4×C19—41no—
701C4×C19—41no—
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#52914yes—
718C2×#126C22×C1911yescharacteristic
719C2×#126C22×C1911yescharacteristic
720C2×#125C22×C1911yescharacteristic
721C2×#124C22×C1911yescharacteristic
722C2×C4×Q8C22×C1911yescharacteristic
723C2×C4×D4C22×C1911yescharacteristic
724C2×C4×D4C22×C1911yescharacteristic
725C2×C4×D4C22×C1911yescharacteristic
726C2×C4×D4C22×C1911yescharacteristic
727C2×C4×D4C22×C1911yescharacteristic
728C2×#117C22×C1911yescharacteristic
729C2×#117C22×C1911yescharacteristic
730C2×#117C22×C1911yescharacteristic
731C22×C42C22×C1911yescharacteristic
732C22×C42C22×C1911yescharacteristic
733#400C22×C1911yescharacteristic
734#400C22×C1911yescharacteristic
735#400C22×C1911yescharacteristic
736#399C22×C1911yescharacteristic
737#399C22×C1911yescharacteristic
738#399C22×C1911yescharacteristic
739#398C22×C1911yescharacteristic
740#398C22×C1911yescharacteristic
741#398C22×C1911yescharacteristic
742#398C22×C1911yescharacteristic
743#398C22×C1911yescharacteristic
744#397C22×C1911yescharacteristic
745#397C22×C1911yescharacteristic
746#397C22×C1911yescharacteristic
747#397C22×C1911yescharacteristic
748#397C22×C1911yescharacteristic
749#397C22×C1911yescharacteristic
750#397C22×C1911yescharacteristic
751#396C22×C1911yescharacteristic
752#396C22×C1911yescharacteristic
753#396C22×C1911yescharacteristic
754#396C22×C1911yescharacteristic
755#395C22×C1911yescharacteristic
756#394C22×C1911yescharacteristic
757#394C22×C1911yescharacteristic
758#394C22×C1911yescharacteristic
759#394C22×C1911yescharacteristic
760#394C22×C1911yescharacteristic
761#394C22×C1911yescharacteristic
762#394C22×C1911yescharacteristic
763#393C22×C1911yescharacteristic
764#392C22×C1911yescharacteristic
765#391C22×C1911yescharacteristic
766#391C22×C1911yescharacteristic
767#391C22×C1911yescharacteristic
768#390C22×C1911yescharacteristic
769#389C22×C1911yescharacteristic
770#389C22×C1911yescharacteristic
771#389C22×C1911yescharacteristic
772#389C22×C1911yescharacteristic
773#388C22×C1911yescharacteristic
774#388C22×C1911yescharacteristic
775#388C22×C1911yescharacteristic
776#388C22×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#387C22×C1911yescharacteristic
810#387C22×C1911yescharacteristic
811#387C22×C1911yescharacteristic
812#387C22×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#383C22×C1911yescharacteristic
822#383C22×C1911yescharacteristic
823#383C22×C1911yescharacteristic
824#383C22×C1911yescharacteristic
825#382C22×C1911yescharacteristic
826#382C22×C1911yescharacteristic
827#382C22×C1911yescharacteristic
828#382C22×C1911yescharacteristic
829#381C22×C1911yescharacteristic
830#381C22×C1911yescharacteristic
831#380C22×C1911yescharacteristic
832#380C22×C1911yescharacteristic
833C4×C4⋊C4C22×C1911yescharacteristic
834C4×C4⋊C4C22×C1911yescharacteristic
835C4×C4⋊C4C22×C1911yescharacteristic
836C4×C4⋊C4C22×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
863C4×C22⋊C4C22×C1911yescharacteristic
864C4×C22⋊C4C22×C1911yescharacteristic
865C4×C22⋊C4C22×C1911yescharacteristic
866C4×C22⋊C4C22×C1911yescharacteristic
867#376C22×C1911yescharacteristic
868#376C22×C1911yescharacteristic
869#376C22×C1911yescharacteristic
870C43C22×C1911yescharacteristic
871C43C22×C1911yescharacteristic
872C43C22×C1911yescharacteristic
873C2×C19—42no—
874C2×C19—42no—
875C2×C19—81no—
876C2×C19C2×#52911yescharacteristic
877C2×C19#344411yescharacteristic
878C2×C19#345511yescharacteristic
879C2×C19#347511yescharacteristic
880C2×C19#347511yescharacteristic
881C2×C19#347511yescharacteristic
882C2×C19#348011yescharacteristic
883C22×Q8C23×C1911yescharacteristic
884C22×D4C23×C1911yescharacteristic
885C22×D4C23×C1911yescharacteristic
886C22×D4C23×C1911yescharacteristic
887C23×C4C23×C1911yescharacteristic
888C23×C4C23×C1911yescharacteristic
889C23×C4C23×C1911yescharacteristic
890C23×C4C23×C1911yescharacteristic
891C23×C4C23×C1911yescharacteristic
892C23×C4C23×C1911yescharacteristic
893C23×C4C23×C1911yescharacteristic
894#126—24no—
895#126—24no—
896#125—24no—
897#124—24no—
898C4×Q8—24no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907C2×C4⋊C4C23×C1911yescharacteristic
908C2×C4⋊C4C23×C1911yescharacteristic
909C2×C4⋊C4C23×C1911yescharacteristic
910C2×C4⋊C4C23×C1911yescharacteristic
911C2×C4⋊C4C23×C1911yescharacteristic
912C2×C4⋊C4C23×C1911yescharacteristic
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×C22⋊C4C23×C1911yescharacteristic
940C2×C22⋊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×C22⋊C4C23×C1911yescharacteristic
970C2×C22⋊C4C23×C1911yescharacteristic
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
997C2×C42C23×C1911yescharacteristic
998C2×C42C23×C1911yescharacteristic
999C2×C42C23×C1911yescharacteristic
1000C2×C42C23×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
1053C19#3481211yescharacteristic, direct product factor, Sylow
1054C24C24×C1911yescharacteristic
1055C24C24×C1911yescharacteristic
1056C24C24×C1911yescharacteristic
1057C2×Q8—22no—
1058C2×Q8—22no—
1059C2×Q8—41no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
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—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4#41×C1914yes—
1090C22×C4C24×C1911yescharacteristic
1091C22×C4C24×C1911yescharacteristic
1092C22×C4C24×C1911yescharacteristic
1093C22×C4C24×C1911yescharacteristic
1094C22×C4C24×C1911yescharacteristic
1095C22×C4C24×C1911yescharacteristic
1096C22×C4C24×C1911yescharacteristic
1097C22×C4C24×C1911yescharacteristic
1098C22×C4C24×C1911yescharacteristic
1099C22×C4C24×C1911yescharacteristic
1100C22×C4C24×C1911yescharacteristic
1101C22×C4C24×C1911yescharacteristic
1102C22×C4C24×C1911yescharacteristic
1103C22×C4C24×C1911yescharacteristic
1104C22×C4C24×C1911yescharacteristic
1105C22×C4C24×C1911yescharacteristic
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
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4#41×C1914yes—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
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—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4#41×C1914yes—
1182C42—22no—
1183C42—22no—
1184C42—22no—
1185C42—22no—
1186C42—22no—
1187C42—22no—
1188C42—22no—
1189C42—22no—
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—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42#41×C1914yes—
1209C42#41×C1914yes—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
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—
1229C23C2×#41×C1912yes—
1230C23C2×#41×C1912yes—
1231C23C25×C1911yescharacteristic
1232Q8—44no—
1233D4—28no—
1234D4—44no—
1235D4—44no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
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—44no—
1309C2×C4—44no—
1310C2×C4—44no—
1311C2×C4—44no—
1312C2×C4—44no—
1313C2×C4—44no—
1314C2×C4C2×#41×C1912yes—
1315C2×C4C2×#41×C1912yes—
1316C2×C4C2×#41×C1912yes—
1317C2×C4C2×#41×C1912yes—
1318C2×C4C2×#41×C1912yes—
1319C2×C4C2×#41×C1912yes—
1320C2×C4C2×#41×C1912yes—
1321C2×C4C2×#41×C1912yes—
1322C2×C4C2×#41×C1912yes—
1323C2×C4C2×#41×C1912yes—
1324C2×C4C2×#41×C1912yes—
1325C2×C4C2×#41×C1912yes—
1326C2×C4C2×#41×C1912yes—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22C22×#41×C1911yescharacteristic
1349C22C22×#41×C1911yescharacteristic
1350C22C22×#41×C1911yescharacteristic
1351C22C22×#41×C1911yescharacteristic
1352C22C22×#41×C1911yescharacteristic
1353C22C19×#58511yescharacteristic
1354C22C19×#58511yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4C19×#52914yes—
1383C2—42no—
1384C2—42no—
1385C2—81no—
1386C2C2×C19×#52911yescharacteristic
1387C2C19×#344411yescharacteristic
1388C2C19×#345511yescharacteristic
1389C2C19×#347511yescharacteristic
1390C2C19×#347511yescharacteristic
1391C2C19×#347511yescharacteristic
1392C2C19×#348011yescharacteristic
subgroupG/H
centerC22×C4×C19C24
commutator, Frattini, cosocleC23C25×C19
socleC23×C19C25
prime radicalC19×#392C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2525C2semidirect
2. C19×#2524C2semidirect
3. C19×#2523C2semidirect
4. C19×#2522C2semidirect
5. C19×#2521C2semidirect
6. C19×#2520C2semidirect
7. C19×#2519C2semidirect
8. C19×#2518C2semidirect
9. C19×#2518C2semidirect
10. C19×#2517C2semidirect
11. C19×#2516C2semidirect
12. C19×#2515C2semidirect
14. C19×#2466C2semidirect
15. C19×#2460C2semidirect
17. C19×#2396C2semidirect
18. C19×#2395C2semidirect
19. C19×#2395C2semidirect
21. C4×C19×#125C2semidirect
22. C4×C19×#126C2semidirect
23. C4×C19×#126C2semidirect
24. C4×C19×#124C2semidirect
25. C19×#2298C2semidirect
26. C19×#2295C2semidirect
27. C19×#2290C2semidirect
28. C19×#2290C2semidirect
29. C19×#2283C2semidirect
30. C42×D4×C19C2semidirect
31. C4×C19×#117C2semidirect
513. #34812C19direct (N × H)
631. #2525C2×C19semidirect
632. #2524C2×C19semidirect
633. #2523C2×C19semidirect
634. #2522C2×C19semidirect
635. #2521C2×C19semidirect
636. #2520C2×C19semidirect
637. #2519C2×C19semidirect
638. #2518C2×C19semidirect
639. #2518C2×C19semidirect
640. #2517C2×C19semidirect
641. #2516C2×C19semidirect
642. #2515C2×C19semidirect
644. #2466C2×C19semidirect
645. #2460C2×C19semidirect
647. #2396C2×C19semidirect
648. #2395C2×C19semidirect
649. #2395C2×C19semidirect
651. C4×#125C2×C19semidirect
652. C4×#126C2×C19semidirect
653. C4×#126C2×C19semidirect
654. C4×#124C2×C19semidirect
655. #2298C2×C19semidirect
656. #2295C2×C19semidirect
657. #2290C2×C19semidirect
658. #2290C2×C19semidirect
659. #2283C2×C19semidirect
660. C42×D4C2×C19semidirect
661. C4×#117C2×C19semidirect
1053. C19#34812direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#25252
C19×#25242
C19×#25232
C19×#25222
C19×#25212
C19×#25202
C19×#25192
C19×#25182
C19×#25172
C19×#25162
C19×#25152
C19×#24672
C19×#24662
C19×#24602
C19×#24592
C19×#23962
C19×#23952
C19×#23922
C4×C19×#1252
C4×C19×#1262
C4×C19×#1242
C19×#22982
C19×#22952
C19×#22902
C19×#22832
C42×D4×C192
C4×C19×#1172
#3481219