Finite Group Databasebeta

← C19×#36777 #18042736

Subgroups — C19×#36777 #18042736

Order 4864.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2849C211yesmaximal, characteristic, complemented
2C19×#2847C211yesmaximal, characteristic, complemented
3C19×#2780C211yesmaximal, characteristic, complemented
4C19×#2780C211yesmaximal, characteristic, complemented
5C19×#2768C211yesmaximal, characteristic, complemented
6C19×#2761C211yesmaximal, characteristic, complemented
7C19×#2753C211yesmaximal, characteristic, complemented
8C19×#2749C211yesmaximal, characteristic, complemented
9C19×#2748C211yesmaximal, characteristic, complemented
10C19×#2743C211yesmaximal, characteristic, complemented
11C19×#2738C211yesmaximal, characteristic, complemented
12C19×#2711C211yesmaximal, characteristic, complemented
13C19×#2707C211yesmaximal, characteristic, complemented
14C19×#2706C211yesmaximal, characteristic, complemented
15C19×#2701C211yesmaximal, characteristic, complemented
16C19×#2701C211yesmaximal, characteristic, complemented
17C19×#2688C211yesmaximal, characteristic, complemented
18C19×#2671C211yesmaximal, characteristic, complemented
19C19×#2623C211yesmaximal, characteristic, complemented
20C19×#2618C211yesmaximal, characteristic, complemented
21C19×#2539C211yesmaximal, characteristic, complemented
22C19×#2534C211yesmaximal, characteristic, complemented
23C19×#2442C211yesmaximal, characteristic, complemented
24C19×#2425C211yesmaximal, characteristic, complemented
25C19×#2424C211yesmaximal, characteristic, complemented
26C19×#2419C211yesmaximal, characteristic, complemented
27C19×#2418C211yesmaximal, characteristic, complemented
28C19×#2416C211yesmaximal, characteristic, complemented
29C19×#2325C211yesmaximal, characteristic, complemented
30C19×#2318C211yesmaximal, characteristic, complemented
31C2×C19×#385C211yesmaximal, characteristic, complemented
32C24×C4×C19C2211yescharacteristic
33C2×C19×#125C2211yescharacteristic, complemented
34C2×C19×#123C2211yescharacteristic
35C2×C19×#123C2211yescharacteristic
36C2×C19×#123C2211yescharacteristic
37C2×C19×#123C2211yescharacteristic
38C2×C19×#123C2211yescharacteristic
39C2×C19×#123C2211yescharacteristic
40C2×C19×#121C2211yescharacteristic
41C2×C19×#121C2211yescharacteristic
42C2×C19×#121C2211yescharacteristic
43C2×C19×#121C2211yescharacteristic
44C2×C19×#121C2211yescharacteristic
45C2×C19×#121C2211yescharacteristic
46C2×C19×#121C2211yescharacteristic, complemented
47C2×C19×#120C2211yescharacteristic
48C2×C19×#120C2211yescharacteristic
49C2×C19×#120C2211yescharacteristic
50C2×C4×D4×C19C2211yescharacteristic
51C2×C4×D4×C19C2211yescharacteristic
52C2×C4×D4×C19C2211yescharacteristic
53C22×C4⋊C4×C19C2211yescharacteristic
54C22×C4⋊C4×C19C2211yescharacteristic
55C22×C22⋊C4×C19C2211yescharacteristic
56C22×C22⋊C4×C19C2211yescharacteristic
57C19×#400C2211yescharacteristic, complemented
58C19×#400C2211yescharacteristic, complemented
59C19×#400C2211yescharacteristic, complemented
60C19×#400C2211yescharacteristic, complemented
61C19×#400C2211yescharacteristic, complemented
62C19×#399C2211yescharacteristic
63C19×#399C2211yescharacteristic
64C19×#399C2211yescharacteristic
65C19×#399C2211yescharacteristic, complemented
66C19×#399C2211yescharacteristic, complemented
67C19×#398C2211yescharacteristic, complemented
68C19×#398C2211yescharacteristic, complemented
69C19×#398C2211yescharacteristic, complemented
70C19×#398C2211yescharacteristic, complemented
71C19×#398C2211yescharacteristic, complemented
72C19×#398C2211yescharacteristic, complemented
73C19×#398C2211yescharacteristic, complemented
74C19×#398C2211yescharacteristic, complemented
75C19×#397C2211yescharacteristic
76C19×#397C2211yescharacteristic, complemented
77C19×#397C2211yescharacteristic, complemented
78C19×#397C2211yescharacteristic, complemented
79C19×#397C2211yescharacteristic, complemented
80C19×#397C2211yescharacteristic, complemented
81C19×#396C2211yescharacteristic
82C19×#396C2211yescharacteristic
83C19×#396C2211yescharacteristic
84C19×#396C2211yescharacteristic, complemented
85C19×#396C2211yescharacteristic, complemented
86C19×#396C2211yescharacteristic, complemented
87C19×#396C2211yescharacteristic, complemented
88C19×#396C2211yescharacteristic, complemented
89C19×#396C2211yescharacteristic, complemented
90C19×#396C2211yescharacteristic, complemented
91C19×#394C2211yescharacteristic
92C19×#394C2211yescharacteristic
93C19×#394C2211yescharacteristic
94C19×#394C2211yescharacteristic
95C19×#394C2211yescharacteristic
96C19×#394C2211yescharacteristic
97C19×#394C2211yescharacteristic, complemented
98C19×#394C2211yescharacteristic, complemented
99C19×#394C2211yescharacteristic, complemented
100C19×#394C2211yescharacteristic, complemented
101C19×#394C2211yescharacteristic, complemented
102C19×#392C2211yescharacteristic
103C19×#392C2211yescharacteristic
104C19×#392C2211yescharacteristic
105C19×#390C2211yescharacteristic
106C19×#390C2211yescharacteristic
107C19×#390C2211yescharacteristic
108C19×#390C2211yescharacteristic
109C19×#390C2211yescharacteristic
110C19×#390C2211yescharacteristic, complemented
111C19×#389C2211yescharacteristic, complemented
112C19×#389C2211yescharacteristic, complemented
113C19×#389C2211yescharacteristic, complemented
114C19×#389C2211yescharacteristic, complemented
115C19×#388C2211yescharacteristic
116C19×#388C2211yescharacteristic
117C19×#388C2211yescharacteristic
118C19×#388C2211yescharacteristic
119C19×#388C2211yescharacteristic
120C19×#388C2211yescharacteristic, complemented
121C19×#388C2211yescharacteristic, complemented
122C19×#388C2211yescharacteristic, complemented
123C19×#388C2211yescharacteristic, complemented
124C19×#388C2211yescharacteristic, complemented
125C19×#387C2211yescharacteristic, complemented
126C19×#387C2211yescharacteristic, complemented
127C19×#387C2211yescharacteristic, complemented
128C19×#387C2211yescharacteristic, complemented
129C19×#387C2211yescharacteristic, complemented
130C19×#387C2211yescharacteristic, complemented
131C19×#386C2211yescharacteristic
132C19×#386C2211yescharacteristic
133C19×#386C2211yescharacteristic
134C19×#386C2211yescharacteristic
135C19×#386C2211yescharacteristic
136C19×#386C2211yescharacteristic
137C19×#386C2211yescharacteristic
138C19×#386C2211yescharacteristic
139C19×#386C2211yescharacteristic
140C19×#386C2211yescharacteristic
141C19×#386C2211yescharacteristic
142C19×#386C2211yescharacteristic
143C19×#386C2211yescharacteristic
144C19×#386C2211yescharacteristic
145C19×#386C2211yescharacteristic
146C19×#386C2211yescharacteristic
147C19×#386C2211yescharacteristic, complemented
148C19×#386C2211yescharacteristic, complemented
149C19×#386C2211yescharacteristic, complemented
150C19×#385C2211yescharacteristic
151C19×#385C2211yescharacteristic
152C19×#385C2211yescharacteristic
153C19×#385C2211yescharacteristic
154C19×#385C2211yescharacteristic
155C19×#385C2211yescharacteristic
156C19×#385C2211yescharacteristic
157C19×#385C2211yescharacteristic
158C19×#385C2211yescharacteristic
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic, complemented
165C19×#385C2211yescharacteristic, complemented
166C19×#385C2211yescharacteristic, complemented
167C19×#383C2211yescharacteristic, complemented
168C19×#382C2211yescharacteristic, complemented
169C19×#382C2211yescharacteristic, complemented
170C19×#381C2211yescharacteristic
171C19×#381C2211yescharacteristic
172C19×#381C2211yescharacteristic
173C19×#381C2211yescharacteristic, complemented
174C19×#381C2211yescharacteristic, complemented
175C19×#380C2211yescharacteristic
176C19×#380C2211yescharacteristic
177C19×#380C2211yescharacteristic
178C19×#380C2211yescharacteristic
179C19×#380C2211yescharacteristic
180C19×#380C2211yescharacteristic, complemented
181C19×#380C2211yescharacteristic, complemented
182C19×#380C2211yescharacteristic, complemented
183C19×#379C2211yescharacteristic
184C4×C22⋊C4×C19C2211yescharacteristic
185C2×C19×#95C2211yescharacteristic
186C2×C19×#95C2211yescharacteristic
187C25×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
197C22×D4×C19C2311yescharacteristic
198C22×D4×C19C2311yescharacteristic
199C22×D4×C19C2311yescharacteristic
200C23×C4×C19—42no—
201C23×C4×C19—42no—
202C23×C4×C19—42no—
203C23×C4×C19C2311yescharacteristic
204C23×C4×C19C2311yescharacteristic
205C23×C4×C19C2311yescharacteristic
206C23×C4×C19C2311yescharacteristic
207C23×C4×C19C2311yescharacteristic
208C23×C4×C19C2311yescharacteristic
209C23×C4×C19C2311yescharacteristic
210C23×C4×C19C2311yescharacteristic
211C23×C4×C19C2311yescharacteristic
212C23×C4×C19C2311yescharacteristic
213C23×C4×C19C2311yescharacteristic
214C23×C4×C19C2311yescharacteristic
215C23×C4×C19C2311yescharacteristic
216C19×#125—42no—
217C19×#123—42no—
218C19×#123—42no—
219C19×#123—42no—
220C19×#123—42no—
221C19×#123—42no—
222C19×#123—42no—
223C19×#121—24no—
224C19×#121—42no—
225C19×#121—42no—
226C19×#121—42no—
227C19×#121—42no—
228C19×#121—42no—
229C19×#121—42no—
230C19×#120—42no—
231C19×#120—42no—
232C19×#120—42no—
233C4×D4×C19—24no—
234C4×D4×C19—42no—
235C4×D4×C19—42no—
236C2×C4⋊C4×C19—42no—
237C2×C4⋊C4×C19—42no—
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×C4⋊C4×C19C2311yescharacteristic
253C2×C4⋊C4×C19C2311yescharacteristic
254C2×C4⋊C4×C19C2311yescharacteristic
255C2×C4⋊C4×C19C2311yescharacteristic
256C2×C4⋊C4×C19C2311yescharacteristic
257C2×C4⋊C4×C19C2311yescharacteristic
258C2×C4⋊C4×C19C2311yescharacteristic
259C2×C4⋊C4×C19C2311yescharacteristic
260C2×C4⋊C4×C19C2311yescharacteristic
261C2×C4⋊C4×C19C2311yescharacteristic
262C2×C4⋊C4×C19C2311yescharacteristic
263C2×C4⋊C4×C19C2311yescharacteristic
264C2×C4⋊C4×C19C2311yescharacteristic
265C2×C4⋊C4×C19C2311yescharacteristic
266C2×C4⋊C4×C19C2311yescharacteristic
267C2×C4⋊C4×C19C2311yescharacteristic
268C2×C4⋊C4×C19C2311yescharacteristic
269C2×C4⋊C4×C19C2311yescharacteristic
270C2×C4⋊C4×C19C2311yescharacteristic
271C2×C4⋊C4×C19C2311yescharacteristic
272C2×C22⋊C4×C19—24no—
273C2×C22⋊C4×C19—42no—
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×C22⋊C4×C19C2311yescharacteristic
299C2×C22⋊C4×C19C2311yescharacteristic
300C2×C22⋊C4×C19C2311yescharacteristic
301C2×C22⋊C4×C19C2311yescharacteristic
302C2×C22⋊C4×C19C2311yescharacteristic
303C2×C22⋊C4×C19C2311yescharacteristic
304C2×C22⋊C4×C19C2311yescharacteristic
305C2×C22⋊C4×C19C2311yescharacteristic
306C2×C22⋊C4×C19C2311yescharacteristic
307C2×C22⋊C4×C19C2311yescharacteristic
308C2×C22⋊C4×C19C2311yescharacteristic
309C2×C22⋊C4×C19C2311yescharacteristic
310C2×C22⋊C4×C19C2311yescharacteristic
311C2×C22⋊C4×C19C2311yescharacteristic
312C2×C22⋊C4×C19C2311yescharacteristic
313C2×C22⋊C4×C19C2311yescharacteristic
314C2×C22⋊C4×C19C2311yescharacteristic
315C2×C22⋊C4×C19C2311yescharacteristic
316C2×C22⋊C4×C19C2311yescharacteristic
317C2×C22⋊C4×C19C2311yescharacteristic
318C2×C22⋊C4×C19C2311yescharacteristic
319C2×C22⋊C4×C19C2311yescharacteristic
320C2×C22⋊C4×C19C2311yescharacteristic
321C2×C22⋊C4×C19C2311yescharacteristic
322C2×C22⋊C4×C19C2311yescharacteristic
323C2×C22⋊C4×C19C2311yescharacteristic
324C2×C42×C19C2311yescharacteristic
325C2×C42×C19C2311yescharacteristic
326C2×C42×C19C2311yescharacteristic
327C2×C42×C19C2311yescharacteristic
328C2×C42×C19C2311yescharacteristic
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
357C19×#95C2311yescharacteristic
358C19×#95C2311yescharacteristic
359C19×#95C2311yescharacteristic
360C19×#95C2311yescharacteristic
361C19×#95C2311yescharacteristic
362C19×#95C2311yescharacteristic
363C19×#95C2311yescharacteristic
364C19×#95C2311yescharacteristic
365C19×#95C2311yescharacteristic
366C19×#95C2311yescharacteristic
367C19×#95C2311yescharacteristic
368C19×#95C2311yescharacteristic
369C24×C19—22no—
370C24×C19—22no—
371C24×C19—22no—
372C24×C19—22no—
373C24×C19—22no—
374C24×C19—41no—
375C24×C19—41no—
376C24×C19C2411yescharacteristic
377C24×C19C2411yescharacteristic
378C24×C19C2411yescharacteristic
379C24×C19C2411yescharacteristic
380C24×C19C2411yescharacteristic
381C24×C19C2411yescharacteristic
382C2×D4×C19—22no—
383C2×D4×C19—22no—
384C2×D4×C19—22no—
385C2×D4×C19—22no—
386C2×D4×C19—22no—
387C2×D4×C19—22no—
388C2×D4×C19—22no—
389C2×D4×C19—22no—
390C2×D4×C19—22no—
391C2×D4×C19—22no—
392C2×D4×C19—22no—
393C2×D4×C19—22no—
394C2×D4×C19—22no—
395C2×D4×C19—22no—
396C2×D4×C19—22no—
397C2×D4×C19—22no—
398C2×D4×C19—22no—
399C2×D4×C19—41no—
400C2×D4×C19—41no—
401C2×D4×C19—41no—
402C2×D4×C19—41no—
403C2×D4×C19—41no—
404C2×D4×C19—41no—
405C2×D4×C19—41no—
406C2×D4×C19—41no—
407C2×D4×C19—41no—
408C2×D4×C19—41no—
409C2×D4×C19—41no—
410C2×D4×C19—41no—
411C2×D4×C19—41no—
412C2×D4×C19—41no—
413C2×D4×C19—41no—
414C2×D4×C19—41no—
415C2×D4×C19—41no—
416C2×D4×C19—41no—
417C2×D4×C19—41no—
418C22×C4×C19—22no—
419C22×C4×C19—22no—
420C22×C4×C19—22no—
421C22×C4×C19—22no—
422C22×C4×C19—22no—
423C22×C4×C19—22no—
424C22×C4×C19—22no—
425C22×C4×C19—22no—
426C22×C4×C19—22no—
427C22×C4×C19—22no—
428C22×C4×C19—22no—
429C22×C4×C19—22no—
430C22×C4×C19—22no—
431C22×C4×C19—41no—
432C22×C4×C19—41no—
433C22×C4×C19—41no—
434C22×C4×C19—41no—
435C22×C4×C19—41no—
436C22×C4×C19—41no—
437C22×C4×C19—41no—
438C22×C4×C19—41no—
439C22×C4×C19—41no—
440C22×C4×C19—41no—
441C22×C4×C19—41no—
442C22×C4×C19—41no—
443C22×C4×C19—41no—
444C22×C4×C19—41no—
445C22×C4×C19—41no—
446C22×C4×C19—41no—
447C22×C4×C19—41no—
448C22×C4×C19—41no—
449C22×C4×C19—41no—
450C22×C4×C19—41no—
451C22×C4×C19—41no—
452C22×C4×C19—41no—
453C22×C4×C19—41no—
454C22×C4×C19—41no—
455C22×C4×C19—41no—
456C22×C4×C19—416no—
457C22×C4×C19#4114yes—
458C22×C4×C19C2411yescharacteristic
459C22×C4×C19C2411yescharacteristic
460C22×C4×C19C2411yescharacteristic
461C22×C4×C19C2411yescharacteristic
462C22×C4×C19C2411yescharacteristic
463C22×C4×C19C2411yescharacteristic
464C22×C4×C19C2411yescharacteristic
465C22×C4×C19C2411yescharacteristic
466C22×C4×C19C2411yescharacteristic
467C22×C4×C19C2411yescharacteristic
468C22×C4×C19C2411yescharacteristic
469C22×C4×C19C2411yescharacteristic
470C22×C4×C19C2411yescharacteristic
471C22×C4×C19C2411yescharacteristic
472C22×C4×C19C2411yescharacteristic
473C22×C4×C19C2411yescharacteristic
474C22×C4×C19C2411yescharacteristic
475C22×C4×C19C2411yescharacteristic
476C22×C4×C19C2411yescharacteristic
477C22×C4×C19C2411yescharacteristic
478C22×C4×C19C2411yescharacteristic
479C22×C4×C19C2411yescharacteristic
480C22×C4×C19C2411yescharacteristic
481C22×C4×C19C2411yescharacteristic
482C22×C4×C19C2411yescharacteristic
483C4⋊C4×C19—22no—
484C4⋊C4×C19—22no—
485C4⋊C4×C19—22no—
486C4⋊C4×C19—22no—
487C4⋊C4×C19—22no—
488C4⋊C4×C19—22no—
489C4⋊C4×C19—41no—
490C4⋊C4×C19—41no—
491C4⋊C4×C19—41no—
492C4⋊C4×C19—41no—
493C4⋊C4×C19—41no—
494C4⋊C4×C19—41no—
495C4⋊C4×C19—41no—
496C4⋊C4×C19—41no—
497C4⋊C4×C19—41no—
498C4⋊C4×C19—41no—
499C4⋊C4×C19—41no—
500C4⋊C4×C19—41no—
501C4⋊C4×C19—41no—
502C4⋊C4×C19—41no—
503C4⋊C4×C19—41no—
504C4⋊C4×C19—41no—
505C4⋊C4×C19—41no—
506C4⋊C4×C19—41no—
507C4⋊C4×C19—41no—
508C4⋊C4×C19—41no—
509C4⋊C4×C19—41no—
510C4⋊C4×C19—41no—
511C4⋊C4×C19—41no—
512C4⋊C4×C19—41no—
513C4⋊C4×C19—41no—
514C4⋊C4×C19—41no—
515C4⋊C4×C19—41no—
516C4⋊C4×C19—41no—
517C22⋊C4×C19—22no—
518C22⋊C4×C19—22no—
519C22⋊C4×C19—22no—
520C22⋊C4×C19—22no—
521C22⋊C4×C19—22no—
522C22⋊C4×C19—22no—
523C22⋊C4×C19—22no—
524C22⋊C4×C19—22no—
525C22⋊C4×C19—22no—
526C22⋊C4×C19—22no—
527C22⋊C4×C19—22no—
528C22⋊C4×C19—22no—
529C22⋊C4×C19—22no—
530C22⋊C4×C19—22no—
531C22⋊C4×C19—22no—
532C22⋊C4×C19—22no—
533C22⋊C4×C19—22no—
534C22⋊C4×C19—41no—
535C22⋊C4×C19—41no—
536C22⋊C4×C19—41no—
537C22⋊C4×C19—41no—
538C22⋊C4×C19—41no—
539C22⋊C4×C19—41no—
540C22⋊C4×C19—41no—
541C22⋊C4×C19—41no—
542C22⋊C4×C19—41no—
543C22⋊C4×C19—41no—
544C22⋊C4×C19—41no—
545C22⋊C4×C19—41no—
546C22⋊C4×C19—41no—
547C22⋊C4×C19—41no—
548C22⋊C4×C19—41no—
549C22⋊C4×C19—41no—
550C22⋊C4×C19—41no—
551C22⋊C4×C19—41no—
552C22⋊C4×C19—41no—
553C22⋊C4×C19—41no—
554C22⋊C4×C19—41no—
555C22⋊C4×C19—41no—
556C22⋊C4×C19—41no—
557C22⋊C4×C19—41no—
558C22⋊C4×C19—41no—
559C22⋊C4×C19—41no—
560C22⋊C4×C19—41no—
561C22⋊C4×C19—41no—
562C22⋊C4×C19—41no—
563C22⋊C4×C19—41no—
564C22⋊C4×C19—41no—
565C22⋊C4×C19—41no—
566C22⋊C4×C19—41no—
567C42×C19—22no—
568C42×C19—41no—
569C42×C19—41no—
570C42×C19—41no—
571C42×C19—41no—
572#36777C1911yesmaximal, characteristic, direct product factor, Sylow
573C23×C19—21no—
574C23×C19—21no—
575C23×C19—21no—
576C23×C19—21no—
577C23×C19—28no—
578C23×C19—21no—
579C23×C19—21no—
580C23×C19—21no—
581C23×C19—21no—
582C23×C19—21no—
583C23×C19—21no—
584C23×C19—21no—
585C23×C19—21no—
586C23×C19—21no—
587C23×C19—21no—
588C23×C19—21no—
589C23×C19—21no—
590C23×C19—21no—
591C23×C19—21no—
592C23×C19—21no—
593C23×C19—21no—
594C23×C19—21no—
595C23×C19—21no—
596C23×C19—21no—
597C23×C19—21no—
598C23×C19—21no—
599C23×C19—21no—
600C23×C19—21no—
601C23×C19—21no—
602C23×C19—21no—
603C23×C19—21no—
604C23×C19—21no—
605C23×C19—21no—
606C23×C19—21no—
607C23×C19—21no—
608C23×C19—21no—
609C23×C19—21no—
610C23×C19—21no—
611C23×C19—44no—
612C23×C19—44no—
613C23×C19—44no—
614C23×C19—44no—
615C23×C19—44no—
616C23×C19—44no—
617C23×C19C2×#4112yes—
618C23×C19H(5,𝔽2)12yes—
619C23×C19H(5,𝔽2)12yes—
620C23×C19H(5,𝔽2)12yes—
621C23×C192−1+412yes—
622C23×C19C2511yescharacteristic
623D4×C19—44no—
624D4×C19—44no—
625D4×C19—44no—
626D4×C19—82no—
627D4×C19—82no—
628D4×C19—82no—
629D4×C19—82no—
630D4×C19—82no—
631D4×C19—82no—
632D4×C19—82no—
633D4×C19—82no—
634D4×C19—82no—
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—21no—
656C2×C4×C19—21no—
657C2×C4×C19—21no—
658C2×C4×C19—21no—
659C2×C4×C19—21no—
660C2×C4×C19—21no—
661C2×C4×C19—21no—
662C2×C4×C19—21no—
663C2×C4×C19—21no—
664C2×C4×C19—21no—
665C2×C4×C19—21no—
666C2×C4×C19—21no—
667C2×C4×C19—21no—
668C2×C4×C19—21no—
669C2×C4×C19—21no—
670C2×C4×C19—21no—
671C2×C4×C19—21no—
672C2×C4×C19—21no—
673C2×C4×C19—21no—
674C2×C4×C19—21no—
675C2×C4×C19—21no—
676C2×C4×C19—21no—
677C2×C4×C19—21no—
678C2×C4×C19—21no—
679C2×C4×C19—21no—
680C2×C4×C19—21no—
681C2×C4×C19—21no—
682C2×C4×C19—21no—
683C2×C4×C19—21no—
684C2×C4×C19—21no—
685C2×C4×C19—21no—
686C2×C4×C19—21no—
687C2×C4×C19—21no—
688C2×C4×C19—21no—
689C2×C4×C19—21no—
690C2×C4×C19—21no—
691C2×C4×C19—21no—
692C2×C4×C19—21no—
693C2×C4×C19—21no—
694C2×C4×C19—21no—
695C2×C4×C19—21no—
696C2×C4×C19—21no—
697C2×C4×C19—21no—
698C2×C4×C19—21no—
699C2×C4×C19—21no—
700C2×C4×C19—21no—
701C2×C4×C19—21no—
702C2×C4×C19—21no—
703C2×C4×C19—21no—
704C2×C4×C19—21no—
705C2×C4×C19—21no—
706C2×C4×C19—21no—
707C2×C4×C19—44no—
708C2×C4×C19—44no—
709C2×C4×C19—44no—
710C2×C4×C19—44no—
711C2×C4×C19—44no—
712C2×C4×C19—44no—
713C2×C4×C19—44no—
714C2×C4×C19—44no—
715C2×C4×C19—82no—
716C2×C4×C19—82no—
717C2×C4×C19—82no—
718C2×C4×C19—82no—
719C2×C4×C19—82no—
720C2×C4×C19C2×#4112yes—
721C2×C4×C19C2×#4112yes—
722C2×C4×C19H(5,𝔽2)12yes—
723#2849C2×C1911yescharacteristic, complemented
724#2847C2×C1911yescharacteristic, complemented
725#2780C2×C1911yescharacteristic, complemented
726#2780C2×C1911yescharacteristic, complemented
727#2768C2×C1911yescharacteristic, complemented
728#2761C2×C1911yescharacteristic, complemented
729#2753C2×C1911yescharacteristic, complemented
730#2749C2×C1911yescharacteristic, complemented
731#2748C2×C1911yescharacteristic, complemented
732#2743C2×C1911yescharacteristic, complemented
733#2738C2×C1911yescharacteristic, complemented
734#2711C2×C1911yescharacteristic, complemented
735#2707C2×C1911yescharacteristic, complemented
736#2706C2×C1911yescharacteristic, complemented
737#2701C2×C1911yescharacteristic, complemented
738#2701C2×C1911yescharacteristic, complemented
739#2688C2×C1911yescharacteristic, complemented
740#2671C2×C1911yescharacteristic, complemented
741#2623C2×C1911yescharacteristic, complemented
742#2618C2×C1911yescharacteristic, complemented
743#2539C2×C1911yescharacteristic, complemented
744#2534C2×C1911yescharacteristic, complemented
745#2442C2×C1911yescharacteristic, complemented
746#2425C2×C1911yescharacteristic, complemented
747#2424C2×C1911yescharacteristic, complemented
748#2419C2×C1911yescharacteristic, complemented
749#2418C2×C1911yescharacteristic, complemented
750#2416C2×C1911yescharacteristic, complemented
751#2325C2×C1911yescharacteristic, complemented
752#2318C2×C1911yescharacteristic, complemented
753C2×#385C2×C1911yescharacteristic, complemented
754C22×C19—22no—
755C22×C19—22no—
756C22×C19—22no—
757C22×C19—22no—
758C22×C19—22no—
759C22×C19—22no—
760C22×C19—22no—
761C22×C19—22no—
762C22×C19—22no—
763C22×C19—22no—
764C22×C19—22no—
765C22×C19—22no—
766C22×C19—416no—
767C22×C19—41no—
768C22×C19—41no—
769C22×C19—41no—
770C22×C19—41no—
771C22×C19—41no—
772C22×C19—41no—
773C22×C19—41no—
774C22×C19—41no—
775C22×C19—41no—
776C22×C19—41no—
777C22×C19—41no—
778C22×C19—41no—
779C22×C19—41no—
780C22×C19—41no—
781C22×C19—41no—
782C22×C19—41no—
783C22×C19—41no—
784C22×C19—41no—
785C22×C19—41no—
786C22×C19—41no—
787C22×C19—41no—
788C22×C19—41no—
789C22×C19—41no—
790C22×C19—41no—
791C22×C19—41no—
792C22×C19—41no—
793C22×C19—41no—
794C22×C19—41no—
795C22×C19—41no—
796C22×C19#54014yes—
797C22×C19C22×#4111yescharacteristic
798C22×C19C2×H(5,𝔽2)11yescharacteristic
799C22×C19C2×H(5,𝔽2)11yescharacteristic
800C22×C19C2×H(5,𝔽2)11yescharacteristic
801C22×C19C2×H(5,𝔽2)11yescharacteristic
802C22×C19C2×2−1+411yescharacteristic
803C22×C19#58511yescharacteristic
804C4×C19—22no—
805C4×C19—22no—
806C4×C19—22no—
807C4×C19—41no—
808C4×C19—41no—
809C4×C19—41no—
810C4×C19—41no—
811C4×C19—41no—
812C4×C19—41no—
813C4×C19—41no—
814C4×C19—41no—
815C4×C19—41no—
816C4×C19—41no—
817C4×C19—41no—
818C4×C19—41no—
819C4×C19—41no—
820C4×C19—41no—
821C4×C19—41no—
822C4×C19—41no—
823C4×C19—41no—
824C4×C19—41no—
825C4×C19—41no—
826C4×C19—41no—
827C4×C19—41no—
828C4×C19—41no—
829C24×C4C22×C1911yescharacteristic
830C2×#125C22×C1911yescharacteristic, complemented
831C2×#123C22×C1911yescharacteristic
832C2×#123C22×C1911yescharacteristic
833C2×#123C22×C1911yescharacteristic
834C2×#123C22×C1911yescharacteristic
835C2×#123C22×C1911yescharacteristic
836C2×#123C22×C1911yescharacteristic
837C2×#121C22×C1911yescharacteristic
838C2×#121C22×C1911yescharacteristic
839C2×#121C22×C1911yescharacteristic
840C2×#121C22×C1911yescharacteristic
841C2×#121C22×C1911yescharacteristic
842C2×#121C22×C1911yescharacteristic
843C2×#121C22×C1911yescharacteristic, complemented
844C2×#120C22×C1911yescharacteristic
845C2×#120C22×C1911yescharacteristic
846C2×#120C22×C1911yescharacteristic
847C2×C4×D4C22×C1911yescharacteristic
848C2×C4×D4C22×C1911yescharacteristic
849C2×C4×D4C22×C1911yescharacteristic
850C22×C4⋊C4C22×C1911yescharacteristic
851C22×C4⋊C4C22×C1911yescharacteristic
852C22×C22⋊C4C22×C1911yescharacteristic
853C22×C22⋊C4C22×C1911yescharacteristic
854#400C22×C1911yescharacteristic, complemented
855#400C22×C1911yescharacteristic, complemented
856#400C22×C1911yescharacteristic, complemented
857#400C22×C1911yescharacteristic, complemented
858#400C22×C1911yescharacteristic, complemented
859#399C22×C1911yescharacteristic
860#399C22×C1911yescharacteristic
861#399C22×C1911yescharacteristic
862#399C22×C1911yescharacteristic, complemented
863#399C22×C1911yescharacteristic, complemented
864#398C22×C1911yescharacteristic, complemented
865#398C22×C1911yescharacteristic, complemented
866#398C22×C1911yescharacteristic, complemented
867#398C22×C1911yescharacteristic, complemented
868#398C22×C1911yescharacteristic, complemented
869#398C22×C1911yescharacteristic, complemented
870#398C22×C1911yescharacteristic, complemented
871#398C22×C1911yescharacteristic, complemented
872#397C22×C1911yescharacteristic
873#397C22×C1911yescharacteristic, complemented
874#397C22×C1911yescharacteristic, complemented
875#397C22×C1911yescharacteristic, complemented
876#397C22×C1911yescharacteristic, complemented
877#397C22×C1911yescharacteristic, complemented
878#396C22×C1911yescharacteristic
879#396C22×C1911yescharacteristic
880#396C22×C1911yescharacteristic
881#396C22×C1911yescharacteristic, complemented
882#396C22×C1911yescharacteristic, complemented
883#396C22×C1911yescharacteristic, complemented
884#396C22×C1911yescharacteristic, complemented
885#396C22×C1911yescharacteristic, complemented
886#396C22×C1911yescharacteristic, complemented
887#396C22×C1911yescharacteristic, complemented
888#394C22×C1911yescharacteristic
889#394C22×C1911yescharacteristic
890#394C22×C1911yescharacteristic
891#394C22×C1911yescharacteristic
892#394C22×C1911yescharacteristic
893#394C22×C1911yescharacteristic
894#394C22×C1911yescharacteristic, complemented
895#394C22×C1911yescharacteristic, complemented
896#394C22×C1911yescharacteristic, complemented
897#394C22×C1911yescharacteristic, complemented
898#394C22×C1911yescharacteristic, complemented
899#392C22×C1911yescharacteristic
900#392C22×C1911yescharacteristic
901#392C22×C1911yescharacteristic
902#390C22×C1911yescharacteristic
903#390C22×C1911yescharacteristic
904#390C22×C1911yescharacteristic
905#390C22×C1911yescharacteristic
906#390C22×C1911yescharacteristic
907#390C22×C1911yescharacteristic, complemented
908#389C22×C1911yescharacteristic, complemented
909#389C22×C1911yescharacteristic, complemented
910#389C22×C1911yescharacteristic, complemented
911#389C22×C1911yescharacteristic, complemented
912#388C22×C1911yescharacteristic
913#388C22×C1911yescharacteristic
914#388C22×C1911yescharacteristic
915#388C22×C1911yescharacteristic
916#388C22×C1911yescharacteristic
917#388C22×C1911yescharacteristic, complemented
918#388C22×C1911yescharacteristic, complemented
919#388C22×C1911yescharacteristic, complemented
920#388C22×C1911yescharacteristic, complemented
921#388C22×C1911yescharacteristic, complemented
922#387C22×C1911yescharacteristic, complemented
923#387C22×C1911yescharacteristic, complemented
924#387C22×C1911yescharacteristic, complemented
925#387C22×C1911yescharacteristic, complemented
926#387C22×C1911yescharacteristic, complemented
927#387C22×C1911yescharacteristic, complemented
928#386C22×C1911yescharacteristic
929#386C22×C1911yescharacteristic
930#386C22×C1911yescharacteristic
931#386C22×C1911yescharacteristic
932#386C22×C1911yescharacteristic
933#386C22×C1911yescharacteristic
934#386C22×C1911yescharacteristic
935#386C22×C1911yescharacteristic
936#386C22×C1911yescharacteristic
937#386C22×C1911yescharacteristic
938#386C22×C1911yescharacteristic
939#386C22×C1911yescharacteristic
940#386C22×C1911yescharacteristic
941#386C22×C1911yescharacteristic
942#386C22×C1911yescharacteristic
943#386C22×C1911yescharacteristic
944#386C22×C1911yescharacteristic, complemented
945#386C22×C1911yescharacteristic, complemented
946#386C22×C1911yescharacteristic, complemented
947#385C22×C1911yescharacteristic
948#385C22×C1911yescharacteristic
949#385C22×C1911yescharacteristic
950#385C22×C1911yescharacteristic
951#385C22×C1911yescharacteristic
952#385C22×C1911yescharacteristic
953#385C22×C1911yescharacteristic
954#385C22×C1911yescharacteristic
955#385C22×C1911yescharacteristic
956#385C22×C1911yescharacteristic
957#385C22×C1911yescharacteristic
958#385C22×C1911yescharacteristic
959#385C22×C1911yescharacteristic
960#385C22×C1911yescharacteristic
961#385C22×C1911yescharacteristic, complemented
962#385C22×C1911yescharacteristic, complemented
963#385C22×C1911yescharacteristic, complemented
964#383C22×C1911yescharacteristic, complemented
965#382C22×C1911yescharacteristic, complemented
966#382C22×C1911yescharacteristic, complemented
967#381C22×C1911yescharacteristic
968#381C22×C1911yescharacteristic
969#381C22×C1911yescharacteristic
970#381C22×C1911yescharacteristic, complemented
971#381C22×C1911yescharacteristic, complemented
972#380C22×C1911yescharacteristic
973#380C22×C1911yescharacteristic
974#380C22×C1911yescharacteristic
975#380C22×C1911yescharacteristic
976#380C22×C1911yescharacteristic
977#380C22×C1911yescharacteristic, complemented
978#380C22×C1911yescharacteristic, complemented
979#380C22×C1911yescharacteristic, complemented
980#379C22×C1911yescharacteristic
981C4×C22⋊C4C22×C1911yescharacteristic
982C2×#95C22×C1911yescharacteristic
983C2×#95C22×C1911yescharacteristic
984C2×C19—24no—
985C2×C19—42no—
986C2×C19—42no—
987C2×C19—81no—
988C2×C19—81no—
989C2×C19—81no—
990C2×C19C2×#54011yescharacteristic
991C2×C19#349211yescharacteristic
992C2×C19#350511yescharacteristic
993C2×C19#353211yescharacteristic
994C2×C19#353411yescharacteristic
995C2×C19#353511yescharacteristic
996C2×C19#353611yescharacteristic
997C25C23×C1911yescharacteristic
998C22×D4C23×C1911yescharacteristic
999C22×D4C23×C1911yescharacteristic
1000C22×D4C23×C1911yescharacteristic
1001C22×D4C23×C1911yescharacteristic
1002C22×D4C23×C1911yescharacteristic
1003C22×D4C23×C1911yescharacteristic
1004C22×D4C23×C1911yescharacteristic
1005C22×D4C23×C1911yescharacteristic
1006C22×D4C23×C1911yescharacteristic
1007C22×D4C23×C1911yescharacteristic
1008C22×D4C23×C1911yescharacteristic
1009C22×D4C23×C1911yescharacteristic
1010C23×C4—42no—
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4C23×C1911yescharacteristic
1014C23×C4C23×C1911yescharacteristic
1015C23×C4C23×C1911yescharacteristic
1016C23×C4C23×C1911yescharacteristic
1017C23×C4C23×C1911yescharacteristic
1018C23×C4C23×C1911yescharacteristic
1019C23×C4C23×C1911yescharacteristic
1020C23×C4C23×C1911yescharacteristic
1021C23×C4C23×C1911yescharacteristic
1022C23×C4C23×C1911yescharacteristic
1023C23×C4C23×C1911yescharacteristic
1024C23×C4C23×C1911yescharacteristic
1025C23×C4C23×C1911yescharacteristic
1026#125—42no—
1027#123—42no—
1028#123—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033#121—24no—
1034#121—42no—
1035#121—42no—
1036#121—42no—
1037#121—42no—
1038#121—42no—
1039#121—42no—
1040#120—42no—
1041#120—42no—
1042#120—42no—
1043C4×D4—24no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C2×C4⋊C4—42no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4C23×C1911yescharacteristic
1049C2×C4⋊C4C23×C1911yescharacteristic
1050C2×C4⋊C4C23×C1911yescharacteristic
1051C2×C4⋊C4C23×C1911yescharacteristic
1052C2×C4⋊C4C23×C1911yescharacteristic
1053C2×C4⋊C4C23×C1911yescharacteristic
1054C2×C4⋊C4C23×C1911yescharacteristic
1055C2×C4⋊C4C23×C1911yescharacteristic
1056C2×C4⋊C4C23×C1911yescharacteristic
1057C2×C4⋊C4C23×C1911yescharacteristic
1058C2×C4⋊C4C23×C1911yescharacteristic
1059C2×C4⋊C4C23×C1911yescharacteristic
1060C2×C4⋊C4C23×C1911yescharacteristic
1061C2×C4⋊C4C23×C1911yescharacteristic
1062C2×C4⋊C4C23×C1911yescharacteristic
1063C2×C4⋊C4C23×C1911yescharacteristic
1064C2×C4⋊C4C23×C1911yescharacteristic
1065C2×C4⋊C4C23×C1911yescharacteristic
1066C2×C4⋊C4C23×C1911yescharacteristic
1067C2×C4⋊C4C23×C1911yescharacteristic
1068C2×C4⋊C4C23×C1911yescharacteristic
1069C2×C4⋊C4C23×C1911yescharacteristic
1070C2×C4⋊C4C23×C1911yescharacteristic
1071C2×C4⋊C4C23×C1911yescharacteristic
1072C2×C4⋊C4C23×C1911yescharacteristic
1073C2×C4⋊C4C23×C1911yescharacteristic
1074C2×C4⋊C4C23×C1911yescharacteristic
1075C2×C4⋊C4C23×C1911yescharacteristic
1076C2×C4⋊C4C23×C1911yescharacteristic
1077C2×C4⋊C4C23×C1911yescharacteristic
1078C2×C4⋊C4C23×C1911yescharacteristic
1079C2×C4⋊C4C23×C1911yescharacteristic
1080C2×C4⋊C4C23×C1911yescharacteristic
1081C2×C4⋊C4C23×C1911yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—42no—
1084C2×C22⋊C4C23×C1911yescharacteristic
1085C2×C22⋊C4C23×C1911yescharacteristic
1086C2×C22⋊C4C23×C1911yescharacteristic
1087C2×C22⋊C4C23×C1911yescharacteristic
1088C2×C22⋊C4C23×C1911yescharacteristic
1089C2×C22⋊C4C23×C1911yescharacteristic
1090C2×C22⋊C4C23×C1911yescharacteristic
1091C2×C22⋊C4C23×C1911yescharacteristic
1092C2×C22⋊C4C23×C1911yescharacteristic
1093C2×C22⋊C4C23×C1911yescharacteristic
1094C2×C22⋊C4C23×C1911yescharacteristic
1095C2×C22⋊C4C23×C1911yescharacteristic
1096C2×C22⋊C4C23×C1911yescharacteristic
1097C2×C22⋊C4C23×C1911yescharacteristic
1098C2×C22⋊C4C23×C1911yescharacteristic
1099C2×C22⋊C4C23×C1911yescharacteristic
1100C2×C22⋊C4C23×C1911yescharacteristic
1101C2×C22⋊C4C23×C1911yescharacteristic
1102C2×C22⋊C4C23×C1911yescharacteristic
1103C2×C22⋊C4C23×C1911yescharacteristic
1104C2×C22⋊C4C23×C1911yescharacteristic
1105C2×C22⋊C4C23×C1911yescharacteristic
1106C2×C22⋊C4C23×C1911yescharacteristic
1107C2×C22⋊C4C23×C1911yescharacteristic
1108C2×C22⋊C4C23×C1911yescharacteristic
1109C2×C22⋊C4C23×C1911yescharacteristic
1110C2×C22⋊C4C23×C1911yescharacteristic
1111C2×C22⋊C4C23×C1911yescharacteristic
1112C2×C22⋊C4C23×C1911yescharacteristic
1113C2×C22⋊C4C23×C1911yescharacteristic
1114C2×C22⋊C4C23×C1911yescharacteristic
1115C2×C22⋊C4C23×C1911yescharacteristic
1116C2×C22⋊C4C23×C1911yescharacteristic
1117C2×C22⋊C4C23×C1911yescharacteristic
1118C2×C22⋊C4C23×C1911yescharacteristic
1119C2×C22⋊C4C23×C1911yescharacteristic
1120C2×C22⋊C4C23×C1911yescharacteristic
1121C2×C22⋊C4C23×C1911yescharacteristic
1122C2×C22⋊C4C23×C1911yescharacteristic
1123C2×C22⋊C4C23×C1911yescharacteristic
1124C2×C22⋊C4C23×C1911yescharacteristic
1125C2×C22⋊C4C23×C1911yescharacteristic
1126C2×C22⋊C4C23×C1911yescharacteristic
1127C2×C22⋊C4C23×C1911yescharacteristic
1128C2×C22⋊C4C23×C1911yescharacteristic
1129C2×C22⋊C4C23×C1911yescharacteristic
1130C2×C22⋊C4C23×C1911yescharacteristic
1131C2×C22⋊C4C23×C1911yescharacteristic
1132C2×C22⋊C4C23×C1911yescharacteristic
1133C2×C22⋊C4C23×C1911yescharacteristic
1134C2×C42C23×C1911yescharacteristic
1135C2×C42C23×C1911yescharacteristic
1136C2×C42C23×C1911yescharacteristic
1137C2×C42C23×C1911yescharacteristic
1138C2×C42C23×C1911yescharacteristic
1139#95C23×C1911yescharacteristic
1140#95C23×C1911yescharacteristic
1141#95C23×C1911yescharacteristic
1142#95C23×C1911yescharacteristic
1143#95C23×C1911yescharacteristic
1144#95C23×C1911yescharacteristic
1145#95C23×C1911yescharacteristic
1146#95C23×C1911yescharacteristic
1147#95C23×C1911yescharacteristic
1148#95C23×C1911yescharacteristic
1149#95C23×C1911yescharacteristic
1150#95C23×C1911yescharacteristic
1151#95C23×C1911yescharacteristic
1152#95C23×C1911yescharacteristic
1153#95C23×C1911yescharacteristic
1154#95C23×C1911yescharacteristic
1155#95C23×C1911yescharacteristic
1156#95C23×C1911yescharacteristic
1157#95C23×C1911yescharacteristic
1158#95C23×C1911yescharacteristic
1159#95C23×C1911yescharacteristic
1160#95C23×C1911yescharacteristic
1161#95C23×C1911yescharacteristic
1162#95C23×C1911yescharacteristic
1163#95C23×C1911yescharacteristic
1164#95C23×C1911yescharacteristic
1165#95C23×C1911yescharacteristic
1166#95C23×C1911yescharacteristic
1167#95C23×C1911yescharacteristic
1168#95C23×C1911yescharacteristic
1169#95C23×C1911yescharacteristic
1170#95C23×C1911yescharacteristic
1171#95C23×C1911yescharacteristic
1172#95C23×C1911yescharacteristic
1173#95C23×C1911yescharacteristic
1174#95C23×C1911yescharacteristic
1175#95C23×C1911yescharacteristic
1176#95C23×C1911yescharacteristic
1177#95C23×C1911yescharacteristic
1178#95C23×C1911yescharacteristic
1179C19#3677711yescharacteristic, direct product factor, Sylow
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24C24×C1911yescharacteristic
1188C24C24×C1911yescharacteristic
1189C24C24×C1911yescharacteristic
1190C24C24×C1911yescharacteristic
1191C24C24×C1911yescharacteristic
1192C24C24×C1911yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
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—416no—
1268C22×C4#41×C1914yes—
1269C22×C4C24×C1911yescharacteristic
1270C22×C4C24×C1911yescharacteristic
1271C22×C4C24×C1911yescharacteristic
1272C22×C4C24×C1911yescharacteristic
1273C22×C4C24×C1911yescharacteristic
1274C22×C4C24×C1911yescharacteristic
1275C22×C4C24×C1911yescharacteristic
1276C22×C4C24×C1911yescharacteristic
1277C22×C4C24×C1911yescharacteristic
1278C22×C4C24×C1911yescharacteristic
1279C22×C4C24×C1911yescharacteristic
1280C22×C4C24×C1911yescharacteristic
1281C22×C4C24×C1911yescharacteristic
1282C22×C4C24×C1911yescharacteristic
1283C22×C4C24×C1911yescharacteristic
1284C22×C4C24×C1911yescharacteristic
1285C22×C4C24×C1911yescharacteristic
1286C22×C4C24×C1911yescharacteristic
1287C22×C4C24×C1911yescharacteristic
1288C22×C4C24×C1911yescharacteristic
1289C22×C4C24×C1911yescharacteristic
1290C22×C4C24×C1911yescharacteristic
1291C22×C4C24×C1911yescharacteristic
1292C22×C4C24×C1911yescharacteristic
1293C22×C4C24×C1911yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C42—22no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×#41×C1912yes—
1428C23C19×H(5,𝔽2)12yes—
1429C23C19×H(5,𝔽2)12yes—
1430C23C19×H(5,𝔽2)12yes—
1431C23C19×2−1+412yes—
1432C23C25×C1911yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4C2×#41×C1912yes—
1531C2×C4C2×#41×C1912yes—
1532C2×C4C19×H(5,𝔽2)12yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22C19×#54014yes—
1576C22C22×#41×C1911yescharacteristic
1577C22C2×C19×H(5,𝔽2)11yescharacteristic
1578C22C2×C19×H(5,𝔽2)11yescharacteristic
1579C22C2×C19×H(5,𝔽2)11yescharacteristic
1580C22C2×C19×H(5,𝔽2)11yescharacteristic
1581C22C2×C19×2−1+411yescharacteristic
1582C22C19×#58511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—81no—
1614C2C2×C19×#54011yescharacteristic
1615C2C19×#349211yescharacteristic
1616C2C19×#350511yescharacteristic
1617C2C19×#353211yescharacteristic
1618C2C19×#353411yescharacteristic
1619C2C19×#353511yescharacteristic
1620C2C19×#353611yescharacteristic
subgroupG/H
center, socleC23×C19C25
commutator, Frattini, cosocleC23C25×C19
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2849C2semidirect
2. C19×#2847C2semidirect
3. C19×#2780C2semidirect
4. C19×#2780C2semidirect
5. C19×#2768C2semidirect
6. C19×#2761C2semidirect
7. C19×#2753C2semidirect
8. C19×#2749C2semidirect
9. C19×#2748C2semidirect
10. C19×#2743C2semidirect
11. C19×#2738C2semidirect
12. C19×#2711C2semidirect
13. C19×#2707C2semidirect
14. C19×#2706C2semidirect
15. C19×#2701C2semidirect
16. C19×#2701C2semidirect
17. C19×#2688C2semidirect
18. C19×#2671C2semidirect
19. C19×#2623C2semidirect
20. C19×#2618C2semidirect
21. C19×#2539C2semidirect
22. C19×#2534C2semidirect
23. C19×#2442C2semidirect
24. C19×#2425C2semidirect
25. C19×#2424C2semidirect
26. C19×#2419C2semidirect
27. C19×#2418C2semidirect
28. C19×#2416C2semidirect
29. C19×#2325C2semidirect
30. C19×#2318C2semidirect
31. C2×C19×#385C2semidirect
33. C2×C19×#125C22semidirect
46. C2×C19×#121C22semidirect
57. C19×#400C22semidirect
58. C19×#400C22semidirect
59. C19×#400C22semidirect
60. C19×#400C22semidirect
61. C19×#400C22semidirect
65. C19×#399C22semidirect
66. C19×#399C22semidirect
67. C19×#398C22semidirect
68. C19×#398C22semidirect
69. C19×#398C22semidirect
70. C19×#398C22semidirect
71. C19×#398C22semidirect
72. C19×#398C22semidirect
73. C19×#398C22semidirect
74. C19×#398C22semidirect
76. C19×#397C22semidirect
77. C19×#397C22semidirect
78. C19×#397C22semidirect
79. C19×#397C22semidirect
80. C19×#397C22semidirect
84. C19×#396C22semidirect
85. C19×#396C22semidirect
86. C19×#396C22semidirect
87. C19×#396C22semidirect
88. C19×#396C22semidirect
89. C19×#396C22semidirect
90. C19×#396C22semidirect
97. C19×#394C22semidirect
98. C19×#394C22semidirect
99. C19×#394C22semidirect
100. C19×#394C22semidirect
101. C19×#394C22semidirect
110. C19×#390C22semidirect
111. C19×#389C22semidirect
112. C19×#389C22semidirect
113. C19×#389C22semidirect
114. C19×#389C22semidirect
120. C19×#388C22semidirect
121. C19×#388C22semidirect
122. C19×#388C22semidirect
123. C19×#388C22semidirect
124. C19×#388C22semidirect
125. C19×#387C22semidirect
126. C19×#387C22semidirect
127. C19×#387C22semidirect
128. C19×#387C22semidirect
129. C19×#387C22semidirect
130. C19×#387C22semidirect
147. C19×#386C22semidirect
148. C19×#386C22semidirect
149. C19×#386C22semidirect
164. C19×#385C22semidirect
165. C19×#385C22semidirect
166. C19×#385C22semidirect
167. C19×#383C22semidirect
168. C19×#382C22semidirect
169. C19×#382C22semidirect
173. C19×#381C22semidirect
174. C19×#381C22semidirect
180. C19×#380C22semidirect
181. C19×#380C22semidirect
182. C19×#380C22semidirect
572. #36777C19direct (N × H)
723. #2849C2×C19semidirect
724. #2847C2×C19semidirect
725. #2780C2×C19semidirect
726. #2780C2×C19semidirect
727. #2768C2×C19semidirect
728. #2761C2×C19semidirect
729. #2753C2×C19semidirect
730. #2749C2×C19semidirect
731. #2748C2×C19semidirect
732. #2743C2×C19semidirect
733. #2738C2×C19semidirect
734. #2711C2×C19semidirect
735. #2707C2×C19semidirect
736. #2706C2×C19semidirect
737. #2701C2×C19semidirect
738. #2701C2×C19semidirect
739. #2688C2×C19semidirect
740. #2671C2×C19semidirect
741. #2623C2×C19semidirect
742. #2618C2×C19semidirect
743. #2539C2×C19semidirect
744. #2534C2×C19semidirect
745. #2442C2×C19semidirect
746. #2425C2×C19semidirect
747. #2424C2×C19semidirect
748. #2419C2×C19semidirect
749. #2418C2×C19semidirect
750. #2416C2×C19semidirect
751. #2325C2×C19semidirect
752. #2318C2×C19semidirect
753. C2×#385C2×C19semidirect
830. C2×#125C22×C19semidirect
843. C2×#121C22×C19semidirect
854. #400C22×C19semidirect
855. #400C22×C19semidirect
856. #400C22×C19semidirect
857. #400C22×C19semidirect
858. #400C22×C19semidirect
862. #399C22×C19semidirect
863. #399C22×C19semidirect
864. #398C22×C19semidirect
865. #398C22×C19semidirect
866. #398C22×C19semidirect
867. #398C22×C19semidirect
868. #398C22×C19semidirect
869. #398C22×C19semidirect
870. #398C22×C19semidirect
871. #398C22×C19semidirect
873. #397C22×C19semidirect
874. #397C22×C19semidirect
875. #397C22×C19semidirect
876. #397C22×C19semidirect
877. #397C22×C19semidirect
881. #396C22×C19semidirect
882. #396C22×C19semidirect
883. #396C22×C19semidirect
884. #396C22×C19semidirect
885. #396C22×C19semidirect
886. #396C22×C19semidirect
887. #396C22×C19semidirect
894. #394C22×C19semidirect
895. #394C22×C19semidirect
896. #394C22×C19semidirect
897. #394C22×C19semidirect
898. #394C22×C19semidirect
907. #390C22×C19semidirect
908. #389C22×C19semidirect
909. #389C22×C19semidirect
910. #389C22×C19semidirect
911. #389C22×C19semidirect
917. #388C22×C19semidirect
918. #388C22×C19semidirect
919. #388C22×C19semidirect
920. #388C22×C19semidirect
921. #388C22×C19semidirect
922. #387C22×C19semidirect
923. #387C22×C19semidirect
924. #387C22×C19semidirect
925. #387C22×C19semidirect
926. #387C22×C19semidirect
927. #387C22×C19semidirect
944. #386C22×C19semidirect
945. #386C22×C19semidirect
946. #386C22×C19semidirect
961. #385C22×C19semidirect
962. #385C22×C19semidirect
963. #385C22×C19semidirect
964. #383C22×C19semidirect
965. #382C22×C19semidirect
966. #382C22×C19semidirect
970. #381C22×C19semidirect
971. #381C22×C19semidirect
977. #380C22×C19semidirect
978. #380C22×C19semidirect
979. #380C22×C19semidirect
1179. C19#36777direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28492
C19×#28472
C19×#27802
C19×#27682
C19×#27612
C19×#27532
C19×#27492
C19×#27482
C19×#27432
C19×#27382
C19×#27112
C19×#27072
C19×#27062
C19×#27012
C19×#26882
C19×#26712
C19×#26232
C19×#26182
C19×#25392
C19×#25342
C19×#24422
C19×#24252
C19×#24242
C19×#24192
C19×#24182
C19×#24162
C19×#23252
C19×#23182
C2×C19×#3852
#3677719