Finite Group Databasebeta

← C19×#36847 #18042806

Subgroups — C19×#36847 #18042806

Order 4864.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2854C211yesmaximal, characteristic, complemented
2C19×#2852C211yesmaximal, characteristic, complemented
3C19×#2797C211yesmaximal, characteristic, complemented
4C19×#2790C211yesmaximal, characteristic, complemented
5C19×#2757C211yesmaximal, characteristic, complemented
6C19×#2752C211yesmaximal, characteristic, complemented
7C19×#2749C211yesmaximal, characteristic, complemented
8C19×#2749C211yesmaximal, characteristic, complemented
9C19×#2747C211yesmaximal, characteristic, complemented
10C19×#2738C211yesmaximal, characteristic, complemented
11C19×#2718C211yesmaximal, characteristic, complemented
12C19×#2714C211yesmaximal, characteristic, complemented
13C19×#2703C211yesmaximal, characteristic, complemented
14C19×#2703C211yesmaximal, characteristic, complemented
15C19×#2688C211yesmaximal, characteristic, complemented
16C19×#2688C211yesmaximal, characteristic, complemented
17C19×#2675C211yesmaximal, characteristic, complemented
18C19×#2671C211yesmaximal, characteristic, complemented
19C19×#2661C211yesmaximal, characteristic, complemented
20C19×#2652C211yesmaximal, characteristic, complemented
21C19×#2595C211yesmaximal, characteristic, complemented
22C19×#2573C211yesmaximal, characteristic, complemented
23C19×#2464C211yesmaximal, characteristic, complemented
24C19×#2456C211yesmaximal, characteristic, complemented
25C19×#2456C211yesmaximal, characteristic, complemented
26C19×#2443C211yesmaximal, characteristic, complemented
27C19×#2443C211yesmaximal, characteristic, complemented
28C19×#2422C211yesmaximal, characteristic, complemented
29C19×#2333C211yesmaximal, characteristic, complemented
30C19×#2322C211yesmaximal, characteristic, complemented
31C4×C19×#121C211yesmaximal, characteristic, complemented
32C2×C19×#126C2211yescharacteristic
33C2×C19×#123C2211yescharacteristic
34C2×C19×#123C2211yescharacteristic
35C2×C19×#123C2211yescharacteristic
36C2×C19×#123C2211yescharacteristic
37C2×C19×#123C2211yescharacteristic
38C2×C19×#121C2211yescharacteristic
39C2×C19×#121C2211yescharacteristic
40C2×C19×#121C2211yescharacteristic
41C2×C19×#121C2211yescharacteristic
42C2×C19×#121C2211yescharacteristic
43C2×C19×#121C2211yescharacteristic
44C2×C19×#121C2211yescharacteristic
45C2×C19×#121C2211yescharacteristic
46C2×C19×#121C2211yescharacteristic
47C2×C4×D4×C19C2211yescharacteristic
48C2×C4×D4×C19C2211yescharacteristic
49C2×C4×D4×C19C2211yescharacteristic
50C2×C4×D4×C19C2211yescharacteristic
51C22×C4⋊C4×C19C2211yescharacteristic
52C22×C42×C19C2211yescharacteristic
53C19×#400C2211yescharacteristic
54C19×#400C2211yescharacteristic
55C19×#400C2211yescharacteristic
56C19×#400C2211yescharacteristic
57C19×#400C2211yescharacteristic
58C19×#400C2211yescharacteristic
59C19×#399C2211yescharacteristic
60C19×#399C2211yescharacteristic
61C19×#398C2211yescharacteristic
62C19×#398C2211yescharacteristic
63C19×#398C2211yescharacteristic
64C19×#398C2211yescharacteristic
65C19×#398C2211yescharacteristic
66C19×#397C2211yescharacteristic
67C19×#397C2211yescharacteristic
68C19×#397C2211yescharacteristic
69C19×#397C2211yescharacteristic
70C19×#397C2211yescharacteristic
71C19×#397C2211yescharacteristic
72C19×#397C2211yescharacteristic
73C19×#397C2211yescharacteristic
74C19×#397C2211yescharacteristic
75C19×#397C2211yescharacteristic
76C19×#397C2211yescharacteristic
77C19×#396C2211yescharacteristic
78C19×#396C2211yescharacteristic
79C19×#396C2211yescharacteristic
80C19×#396C2211yescharacteristic
81C19×#394C2211yescharacteristic
82C19×#394C2211yescharacteristic
83C19×#394C2211yescharacteristic
84C19×#394C2211yescharacteristic
85C19×#394C2211yescharacteristic
86C19×#394C2211yescharacteristic
87C19×#394C2211yescharacteristic
88C19×#394C2211yescharacteristic
89C19×#394C2211yescharacteristic
90C19×#392C2211yescharacteristic
91C19×#392C2211yescharacteristic
92C19×#392C2211yescharacteristic
93C19×#392C2211yescharacteristic
94C19×#392C2211yescharacteristic
95C19×#392C2211yescharacteristic
96C19×#392C2211yescharacteristic
97C19×#392C2211yescharacteristic
98C19×#392C2211yescharacteristic
99C19×#392C2211yescharacteristic
100C19×#392C2211yescharacteristic
101C19×#390C2211yescharacteristic
102C19×#390C2211yescharacteristic
103C19×#390C2211yescharacteristic
104C19×#390C2211yescharacteristic
105C19×#390C2211yescharacteristic
106C19×#390C2211yescharacteristic
107C19×#390C2211yescharacteristic
108C19×#390C2211yescharacteristic
109C19×#389C2211yescharacteristic
110C19×#389C2211yescharacteristic
111C19×#389C2211yescharacteristic
112C19×#389C2211yescharacteristic
113C19×#388C2211yescharacteristic
114C19×#388C2211yescharacteristic
115C19×#388C2211yescharacteristic
116C19×#388C2211yescharacteristic
117C19×#388C2211yescharacteristic
118C19×#388C2211yescharacteristic
119C19×#388C2211yescharacteristic
120C19×#388C2211yescharacteristic
121C19×#388C2211yescharacteristic
122C19×#388C2211yescharacteristic
123C19×#388C2211yescharacteristic
124C19×#388C2211yescharacteristic
125C19×#388C2211yescharacteristic
126C19×#388C2211yescharacteristic
127C19×#388C2211yescharacteristic
128C19×#388C2211yescharacteristic
129C19×#388C2211yescharacteristic
130C19×#387C2211yescharacteristic
131C19×#387C2211yescharacteristic
132C19×#387C2211yescharacteristic
133C19×#387C2211yescharacteristic
134C19×#387C2211yescharacteristic
135C19×#387C2211yescharacteristic
136C19×#387C2211yescharacteristic
137C19×#387C2211yescharacteristic
138C19×#387C2211yescharacteristic
139C19×#387C2211yescharacteristic
140C19×#387C2211yescharacteristic
141C19×#386C2211yescharacteristic
142C19×#386C2211yescharacteristic
143C19×#386C2211yescharacteristic
144C19×#386C2211yescharacteristic
145C19×#386C2211yescharacteristic
146C19×#386C2211yescharacteristic
147C19×#386C2211yescharacteristic
148C19×#386C2211yescharacteristic
149C19×#386C2211yescharacteristic
150C19×#386C2211yescharacteristic
151C19×#386C2211yescharacteristic
152C19×#386C2211yescharacteristic
153C19×#386C2211yescharacteristic
154C19×#386C2211yescharacteristic
155C19×#386C2211yescharacteristic
156C19×#386C2211yescharacteristic
157C19×#386C2211yescharacteristic
158C19×#386C2211yescharacteristic
159C19×#386C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic
165C19×#385C2211yescharacteristic
166C19×#385C2211yescharacteristic
167C19×#385C2211yescharacteristic
168C19×#385C2211yescharacteristic
169C19×#385C2211yescharacteristic
170C19×#385C2211yescharacteristic
171C19×#385C2211yescharacteristic
172C19×#385C2211yescharacteristic
173C19×#384C2211yescharacteristic
174C19×#383C2211yescharacteristic
175C19×#383C2211yescharacteristic
176C19×#381C2211yescharacteristic
177C19×#381C2211yescharacteristic
178C19×#381C2211yescharacteristic
179C19×#380C2211yescharacteristic
180C19×#380C2211yescharacteristic
181C19×#380C2211yescharacteristic
182C4×C4⋊C4×C19C2211yescharacteristic
183C4×C22⋊C4×C19C2211yescharacteristic
184C4×C22⋊C4×C19C2211yescharacteristic
185C4×C22⋊C4×C19C2211yescharacteristic
186C4×C22⋊C4×C19C2211yescharacteristic
187C22×D4×C19C2311yescharacteristic
188C22×D4×C19C2311yescharacteristic
189C22×D4×C19C2311yescharacteristic
190C22×D4×C19C2311yescharacteristic
191C22×D4×C19C2311yescharacteristic
192C22×D4×C19C2311yescharacteristic
193C22×D4×C19C2311yescharacteristic
194C22×D4×C19C2311yescharacteristic
195C22×D4×C19C2311yescharacteristic
196C22×D4×C19C2311yescharacteristic
197C22×D4×C19C2311yescharacteristic
198C22×D4×C19C2311yescharacteristic
199C22×D4×C19C2311yescharacteristic
200C22×D4×C19C2311yescharacteristic
201C22×D4×C19C2311yescharacteristic
202C23×C4×C19C2311yescharacteristic
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
212C19×#126—42no—
213C19×#123—24no—
214C19×#123—42no—
215C19×#123—42no—
216C19×#123—42no—
217C19×#123—42no—
218C19×#121—24no—
219C19×#121—24no—
220C19×#121—42no—
221C19×#121—42no—
222C19×#121—42no—
223C19×#121—42no—
224C19×#121—42no—
225C19×#121—42no—
226C19×#121—42no—
227C4×D4×C19—42no—
228C4×D4×C19—42no—
229C4×D4×C19—42no—
230C4×D4×C19—42no—
231C2×C4⋊C4×C19—42no—
232C2×C4⋊C4×C19C2311yescharacteristic
233C2×C4⋊C4×C19C2311yescharacteristic
234C2×C4⋊C4×C19C2311yescharacteristic
235C2×C4⋊C4×C19C2311yescharacteristic
236C2×C4⋊C4×C19C2311yescharacteristic
237C2×C4⋊C4×C19C2311yescharacteristic
238C2×C4⋊C4×C19C2311yescharacteristic
239C2×C4⋊C4×C19C2311yescharacteristic
240C2×C4⋊C4×C19C2311yescharacteristic
241C2×C4⋊C4×C19C2311yescharacteristic
242C2×C4⋊C4×C19C2311yescharacteristic
243C2×C4⋊C4×C19C2311yescharacteristic
244C2×C4⋊C4×C19C2311yescharacteristic
245C2×C4⋊C4×C19C2311yescharacteristic
246C2×C4⋊C4×C19C2311yescharacteristic
247C2×C4⋊C4×C19C2311yescharacteristic
248C2×C4⋊C4×C19C2311yescharacteristic
249C2×C4⋊C4×C19C2311yescharacteristic
250C2×C4⋊C4×C19C2311yescharacteristic
251C2×C4⋊C4×C19C2311yescharacteristic
252C2×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×C22⋊C4×C19C2311yescharacteristic
262C2×C22⋊C4×C19C2311yescharacteristic
263C2×C22⋊C4×C19C2311yescharacteristic
264C2×C22⋊C4×C19C2311yescharacteristic
265C2×C22⋊C4×C19C2311yescharacteristic
266C2×C22⋊C4×C19C2311yescharacteristic
267C2×C22⋊C4×C19C2311yescharacteristic
268C2×C22⋊C4×C19C2311yescharacteristic
269C2×C22⋊C4×C19C2311yescharacteristic
270C2×C22⋊C4×C19C2311yescharacteristic
271C2×C22⋊C4×C19C2311yescharacteristic
272C2×C22⋊C4×C19C2311yescharacteristic
273C2×C22⋊C4×C19C2311yescharacteristic
274C2×C22⋊C4×C19C2311yescharacteristic
275C2×C22⋊C4×C19C2311yescharacteristic
276C2×C22⋊C4×C19C2311yescharacteristic
277C2×C22⋊C4×C19C2311yescharacteristic
278C2×C22⋊C4×C19C2311yescharacteristic
279C2×C22⋊C4×C19C2311yescharacteristic
280C2×C22⋊C4×C19C2311yescharacteristic
281C2×C22⋊C4×C19C2311yescharacteristic
282C2×C22⋊C4×C19C2311yescharacteristic
283C2×C22⋊C4×C19C2311yescharacteristic
284C2×C22⋊C4×C19C2311yescharacteristic
285C2×C22⋊C4×C19C2311yescharacteristic
286C2×C22⋊C4×C19C2311yescharacteristic
287C2×C22⋊C4×C19C2311yescharacteristic
288C2×C22⋊C4×C19C2311yescharacteristic
289C2×C22⋊C4×C19C2311yescharacteristic
290C2×C22⋊C4×C19C2311yescharacteristic
291C2×C22⋊C4×C19C2311yescharacteristic
292C2×C22⋊C4×C19C2311yescharacteristic
293C2×C22⋊C4×C19C2311yescharacteristic
294C2×C22⋊C4×C19C2311yescharacteristic
295C2×C22⋊C4×C19C2311yescharacteristic
296C2×C22⋊C4×C19C2311yescharacteristic
297C2×C22⋊C4×C19C2311yescharacteristic
298C2×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×C42×C19—42no—
312C2×C42×C19C2311yescharacteristic
313C2×C42×C19C2311yescharacteristic
314C2×C42×C19C2311yescharacteristic
315C2×C42×C19C2311yescharacteristic
316C2×C42×C19C2311yescharacteristic
317C2×C42×C19C2311yescharacteristic
318C2×C42×C19C2311yescharacteristic
319C2×C42×C19C2311yescharacteristic
320C2×C42×C19C2311yescharacteristic
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
357C19×#95C2311yescharacteristic
358C19×#95C2311yescharacteristic
359C19×#95C2311yescharacteristic
360C19×#95C2311yescharacteristic
361C19×#95C2311yescharacteristic
362C19×#95C2311yescharacteristic
363C24×C19C2411yescharacteristic
364C24×C19C2411yescharacteristic
365C24×C19C2411yescharacteristic
366C24×C19C2411yescharacteristic
367C24×C19C2411yescharacteristic
368C24×C19C2411yescharacteristic
369C2×D4×C19—22no—
370C2×D4×C19—22no—
371C2×D4×C19—22no—
372C2×D4×C19—22no—
373C2×D4×C19—22no—
374C2×D4×C19—22no—
375C2×D4×C19—22no—
376C2×D4×C19—22no—
377C2×D4×C19—22no—
378C2×D4×C19—22no—
379C2×D4×C19—22no—
380C2×D4×C19—22no—
381C2×D4×C19—22no—
382C2×D4×C19—41no—
383C2×D4×C19—41no—
384C2×D4×C19—41no—
385C2×D4×C19—41no—
386C2×D4×C19—41no—
387C2×D4×C19—41no—
388C2×D4×C19—41no—
389C2×D4×C19—41no—
390C2×D4×C19—41no—
391C2×D4×C19—41no—
392C2×D4×C19—41no—
393C2×D4×C19—41no—
394C2×D4×C19—41no—
395C2×D4×C19—41no—
396C2×D4×C19—41no—
397C2×D4×C19—41no—
398C2×D4×C19—41no—
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—
414C22×C4×C19—22no—
415C22×C4×C19—22no—
416C22×C4×C19—22no—
417C22×C4×C19—22no—
418C22×C4×C19—22no—
419C22×C4×C19—22no—
420C22×C4×C19—22no—
421C22×C4×C19—22no—
422C22×C4×C19—41no—
423C22×C4×C19—41no—
424C22×C4×C19—41no—
425C22×C4×C19—41no—
426C22×C4×C19—41no—
427C22×C4×C19—41no—
428C22×C4×C19—41no—
429C22×C4×C19—41no—
430C22×C4×C19—41no—
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×C19C2411yescharacteristic
445C22×C4×C19C2411yescharacteristic
446C22×C4×C19C2411yescharacteristic
447C22×C4×C19C2411yescharacteristic
448C22×C4×C19C2411yescharacteristic
449C22×C4×C19C2411yescharacteristic
450C22×C4×C19C2411yescharacteristic
451C22×C4×C19C2411yescharacteristic
452C22×C4×C19C2411yescharacteristic
453C22×C4×C19C2411yescharacteristic
454C22×C4×C19C2411yescharacteristic
455C22×C4×C19C2411yescharacteristic
456C22×C4×C19C2411yescharacteristic
457C22×C4×C19C2411yescharacteristic
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
469C4⋊C4×C19—22no—
470C4⋊C4×C19—22no—
471C4⋊C4×C19—22no—
472C4⋊C4×C19—22no—
473C4⋊C4×C19—22no—
474C4⋊C4×C19—22no—
475C4⋊C4×C19—22no—
476C4⋊C4×C19—22no—
477C4⋊C4×C19—22no—
478C4⋊C4×C19—41no—
479C4⋊C4×C19—41no—
480C4⋊C4×C19—41no—
481C4⋊C4×C19—41no—
482C4⋊C4×C19—41no—
483C4⋊C4×C19—41no—
484C4⋊C4×C19—41no—
485C4⋊C4×C19—41no—
486C4⋊C4×C19—41no—
487C4⋊C4×C19—41no—
488C4⋊C4×C19—41no—
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—
498C22⋊C4×C19—22no—
499C22⋊C4×C19—22no—
500C22⋊C4×C19—22no—
501C22⋊C4×C19—22no—
502C22⋊C4×C19—22no—
503C22⋊C4×C19—22no—
504C22⋊C4×C19—22no—
505C22⋊C4×C19—22no—
506C22⋊C4×C19—22no—
507C22⋊C4×C19—22no—
508C22⋊C4×C19—22no—
509C22⋊C4×C19—22no—
510C22⋊C4×C19—22no—
511C22⋊C4×C19—41no—
512C22⋊C4×C19—41no—
513C22⋊C4×C19—41no—
514C22⋊C4×C19—41no—
515C22⋊C4×C19—41no—
516C22⋊C4×C19—41no—
517C22⋊C4×C19—41no—
518C22⋊C4×C19—41no—
519C22⋊C4×C19—41no—
520C22⋊C4×C19—41no—
521C22⋊C4×C19—41no—
522C22⋊C4×C19—41no—
523C22⋊C4×C19—41no—
524C22⋊C4×C19—41no—
525C22⋊C4×C19—41no—
526C22⋊C4×C19—41no—
527C22⋊C4×C19—41no—
528C22⋊C4×C19—41no—
529C22⋊C4×C19—41no—
530C22⋊C4×C19—41no—
531C22⋊C4×C19—41no—
532C22⋊C4×C19—41no—
533C22⋊C4×C19—41no—
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#4114yes—
548C42×C19—22no—
549C42×C19—22no—
550C42×C19—41no—
551C42×C19—41no—
552C42×C19—41no—
553C42×C19—41no—
554C42×C19—41no—
555C42×C19—41no—
556C42×C19—41no—
557#36847C1911yesmaximal, characteristic, direct product factor, Sylow
558C23×C19—21no—
559C23×C19—21no—
560C23×C19—21no—
561C23×C19—21no—
562C23×C19—21no—
563C23×C19—21no—
564C23×C19—21no—
565C23×C19—21no—
566C23×C19—21no—
567C23×C19—21no—
568C23×C19—21no—
569C23×C19—21no—
570C23×C19—21no—
571C23×C19—21no—
572C23×C19—21no—
573C23×C19—21no—
574C23×C19—21no—
575C23×C19—21no—
576C23×C19—21no—
577C23×C19—21no—
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×C19C2×#4112yes—
599C23×C19H(5,𝔽2)12yes—
600C23×C19C2511yescharacteristic
601D4×C19—44no—
602D4×C19—44no—
603D4×C19—44no—
604D4×C19—44no—
605D4×C19—82no—
606D4×C19—82no—
607D4×C19—82no—
608D4×C19—82no—
609D4×C19—82no—
610D4×C19—82no—
611D4×C19—82no—
612D4×C19—82no—
613D4×C19—82no—
614D4×C19—82no—
615D4×C19—82no—
616C2×C4×C19—21no—
617C2×C4×C19—21no—
618C2×C4×C19—21no—
619C2×C4×C19—21no—
620C2×C4×C19—21no—
621C2×C4×C19—21no—
622C2×C4×C19—21no—
623C2×C4×C19—21no—
624C2×C4×C19—21no—
625C2×C4×C19—21no—
626C2×C4×C19—21no—
627C2×C4×C19—21no—
628C2×C4×C19—21no—
629C2×C4×C19—21no—
630C2×C4×C19—21no—
631C2×C4×C19—21no—
632C2×C4×C19—21no—
633C2×C4×C19—21no—
634C2×C4×C19—21no—
635C2×C4×C19—21no—
636C2×C4×C19—21no—
637C2×C4×C19—21no—
638C2×C4×C19—21no—
639C2×C4×C19—21no—
640C2×C4×C19—21no—
641C2×C4×C19—21no—
642C2×C4×C19—21no—
643C2×C4×C19—21no—
644C2×C4×C19—21no—
645C2×C4×C19—21no—
646C2×C4×C19—21no—
647C2×C4×C19—21no—
648C2×C4×C19—21no—
649C2×C4×C19—21no—
650C2×C4×C19—21no—
651C2×C4×C19—21no—
652C2×C4×C19—21no—
653C2×C4×C19—21no—
654C2×C4×C19—21no—
655C2×C4×C19—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—44no—
688C2×C4×C19—44no—
689C2×C4×C19—44no—
690C2×C4×C19—44no—
691C2×C4×C19—82no—
692C2×C4×C19—82no—
693C2×C4×C19—82no—
694C2×C4×C19—82no—
695C2×C4×C19—82no—
696C2×C4×C19—82no—
697C2×C4×C19C2×#4112yes—
698C2×C4×C19C2×#4112yes—
699C2×C4×C19H(5,𝔽2)12yes—
700C2×C4×C19H(5,𝔽2)12yes—
701#2854C2×C1911yescharacteristic, complemented
702#2852C2×C1911yescharacteristic, complemented
703#2797C2×C1911yescharacteristic, complemented
704#2790C2×C1911yescharacteristic, complemented
705#2757C2×C1911yescharacteristic, complemented
706#2752C2×C1911yescharacteristic, complemented
707#2749C2×C1911yescharacteristic, complemented
708#2749C2×C1911yescharacteristic, complemented
709#2747C2×C1911yescharacteristic, complemented
710#2738C2×C1911yescharacteristic, complemented
711#2718C2×C1911yescharacteristic, complemented
712#2714C2×C1911yescharacteristic, complemented
713#2703C2×C1911yescharacteristic, complemented
714#2703C2×C1911yescharacteristic, complemented
715#2688C2×C1911yescharacteristic, complemented
716#2688C2×C1911yescharacteristic, complemented
717#2675C2×C1911yescharacteristic, complemented
718#2671C2×C1911yescharacteristic, complemented
719#2661C2×C1911yescharacteristic, complemented
720#2652C2×C1911yescharacteristic, complemented
721#2595C2×C1911yescharacteristic, complemented
722#2573C2×C1911yescharacteristic, complemented
723#2464C2×C1911yescharacteristic, complemented
724#2456C2×C1911yescharacteristic, complemented
725#2456C2×C1911yescharacteristic, complemented
726#2443C2×C1911yescharacteristic, complemented
727#2443C2×C1911yescharacteristic, complemented
728#2422C2×C1911yescharacteristic, complemented
729#2333C2×C1911yescharacteristic, complemented
730#2322C2×C1911yescharacteristic, complemented
731C4×#121C2×C1911yescharacteristic, complemented
732C22×C19—22no—
733C22×C19—22no—
734C22×C19—22no—
735C22×C19—22no—
736C22×C19—22no—
737C22×C19—22no—
738C22×C19—41no—
739C22×C19—41no—
740C22×C19—41no—
741C22×C19—41no—
742C22×C19—41no—
743C22×C19—41no—
744C22×C19—41no—
745C22×C19—41no—
746C22×C19—41no—
747C22×C19—41no—
748C22×C19—41no—
749C22×C19—41no—
750C22×C19—41no—
751C22×C19—41no—
752C22×C19—41no—
753C22×C19—41no—
754C22×C19—41no—
755C22×C19—41no—
756C22×C19—41no—
757C22×C19—41no—
758C22×C19—41no—
759C22×C19—41no—
760C22×C19—41no—
761C22×C19—41no—
762C22×C19—41no—
763C22×C19—41no—
764C22×C19—41no—
765C22×C19—41no—
766C22×C19—41no—
767C22×C19—41no—
768C22×C19—41no—
769C22×C19—41no—
770C22×C19—41no—
771C22×C19—41no—
772C22×C19—41no—
773C22×C19—41no—
774C22×C19C22×#4111yescharacteristic
775C22×C19C2×H(5,𝔽2)11yescharacteristic
776C22×C19C2×H(5,𝔽2)11yescharacteristic
777C22×C19C2×H(5,𝔽2)11yescharacteristic
778C22×C19#58511yescharacteristic
779C22×C19#58511yescharacteristic
780C22×C19#58511yescharacteristic
781C4×C19—22no—
782C4×C19—22no—
783C4×C19—22no—
784C4×C19—22no—
785C4×C19—41no—
786C4×C19—41no—
787C4×C19—41no—
788C4×C19—41no—
789C4×C19—41no—
790C4×C19—41no—
791C4×C19—41no—
792C4×C19—41no—
793C4×C19—41no—
794C4×C19—41no—
795C4×C19—41no—
796C4×C19—41no—
797C4×C19—41no—
798C4×C19—41no—
799C4×C19—41no—
800C4×C19—41no—
801C4×C19—41no—
802C4×C19—41no—
803C4×C19—41no—
804C4×C19—41no—
805C4×C19—41no—
806C2×#126C22×C1911yescharacteristic
807C2×#123C22×C1911yescharacteristic
808C2×#123C22×C1911yescharacteristic
809C2×#123C22×C1911yescharacteristic
810C2×#123C22×C1911yescharacteristic
811C2×#123C22×C1911yescharacteristic
812C2×#121C22×C1911yescharacteristic
813C2×#121C22×C1911yescharacteristic
814C2×#121C22×C1911yescharacteristic
815C2×#121C22×C1911yescharacteristic
816C2×#121C22×C1911yescharacteristic
817C2×#121C22×C1911yescharacteristic
818C2×#121C22×C1911yescharacteristic
819C2×#121C22×C1911yescharacteristic
820C2×#121C22×C1911yescharacteristic
821C2×C4×D4C22×C1911yescharacteristic
822C2×C4×D4C22×C1911yescharacteristic
823C2×C4×D4C22×C1911yescharacteristic
824C2×C4×D4C22×C1911yescharacteristic
825C22×C4⋊C4C22×C1911yescharacteristic
826C22×C42C22×C1911yescharacteristic
827#400C22×C1911yescharacteristic
828#400C22×C1911yescharacteristic
829#400C22×C1911yescharacteristic
830#400C22×C1911yescharacteristic
831#400C22×C1911yescharacteristic
832#400C22×C1911yescharacteristic
833#399C22×C1911yescharacteristic
834#399C22×C1911yescharacteristic
835#398C22×C1911yescharacteristic
836#398C22×C1911yescharacteristic
837#398C22×C1911yescharacteristic
838#398C22×C1911yescharacteristic
839#398C22×C1911yescharacteristic
840#397C22×C1911yescharacteristic
841#397C22×C1911yescharacteristic
842#397C22×C1911yescharacteristic
843#397C22×C1911yescharacteristic
844#397C22×C1911yescharacteristic
845#397C22×C1911yescharacteristic
846#397C22×C1911yescharacteristic
847#397C22×C1911yescharacteristic
848#397C22×C1911yescharacteristic
849#397C22×C1911yescharacteristic
850#397C22×C1911yescharacteristic
851#396C22×C1911yescharacteristic
852#396C22×C1911yescharacteristic
853#396C22×C1911yescharacteristic
854#396C22×C1911yescharacteristic
855#394C22×C1911yescharacteristic
856#394C22×C1911yescharacteristic
857#394C22×C1911yescharacteristic
858#394C22×C1911yescharacteristic
859#394C22×C1911yescharacteristic
860#394C22×C1911yescharacteristic
861#394C22×C1911yescharacteristic
862#394C22×C1911yescharacteristic
863#394C22×C1911yescharacteristic
864#392C22×C1911yescharacteristic
865#392C22×C1911yescharacteristic
866#392C22×C1911yescharacteristic
867#392C22×C1911yescharacteristic
868#392C22×C1911yescharacteristic
869#392C22×C1911yescharacteristic
870#392C22×C1911yescharacteristic
871#392C22×C1911yescharacteristic
872#392C22×C1911yescharacteristic
873#392C22×C1911yescharacteristic
874#392C22×C1911yescharacteristic
875#390C22×C1911yescharacteristic
876#390C22×C1911yescharacteristic
877#390C22×C1911yescharacteristic
878#390C22×C1911yescharacteristic
879#390C22×C1911yescharacteristic
880#390C22×C1911yescharacteristic
881#390C22×C1911yescharacteristic
882#390C22×C1911yescharacteristic
883#389C22×C1911yescharacteristic
884#389C22×C1911yescharacteristic
885#389C22×C1911yescharacteristic
886#389C22×C1911yescharacteristic
887#388C22×C1911yescharacteristic
888#388C22×C1911yescharacteristic
889#388C22×C1911yescharacteristic
890#388C22×C1911yescharacteristic
891#388C22×C1911yescharacteristic
892#388C22×C1911yescharacteristic
893#388C22×C1911yescharacteristic
894#388C22×C1911yescharacteristic
895#388C22×C1911yescharacteristic
896#388C22×C1911yescharacteristic
897#388C22×C1911yescharacteristic
898#388C22×C1911yescharacteristic
899#388C22×C1911yescharacteristic
900#388C22×C1911yescharacteristic
901#388C22×C1911yescharacteristic
902#388C22×C1911yescharacteristic
903#388C22×C1911yescharacteristic
904#387C22×C1911yescharacteristic
905#387C22×C1911yescharacteristic
906#387C22×C1911yescharacteristic
907#387C22×C1911yescharacteristic
908#387C22×C1911yescharacteristic
909#387C22×C1911yescharacteristic
910#387C22×C1911yescharacteristic
911#387C22×C1911yescharacteristic
912#387C22×C1911yescharacteristic
913#387C22×C1911yescharacteristic
914#387C22×C1911yescharacteristic
915#386C22×C1911yescharacteristic
916#386C22×C1911yescharacteristic
917#386C22×C1911yescharacteristic
918#386C22×C1911yescharacteristic
919#386C22×C1911yescharacteristic
920#386C22×C1911yescharacteristic
921#386C22×C1911yescharacteristic
922#386C22×C1911yescharacteristic
923#386C22×C1911yescharacteristic
924#386C22×C1911yescharacteristic
925#386C22×C1911yescharacteristic
926#386C22×C1911yescharacteristic
927#386C22×C1911yescharacteristic
928#386C22×C1911yescharacteristic
929#386C22×C1911yescharacteristic
930#386C22×C1911yescharacteristic
931#386C22×C1911yescharacteristic
932#386C22×C1911yescharacteristic
933#386C22×C1911yescharacteristic
934#385C22×C1911yescharacteristic
935#385C22×C1911yescharacteristic
936#385C22×C1911yescharacteristic
937#385C22×C1911yescharacteristic
938#385C22×C1911yescharacteristic
939#385C22×C1911yescharacteristic
940#385C22×C1911yescharacteristic
941#385C22×C1911yescharacteristic
942#385C22×C1911yescharacteristic
943#385C22×C1911yescharacteristic
944#385C22×C1911yescharacteristic
945#385C22×C1911yescharacteristic
946#385C22×C1911yescharacteristic
947#384C22×C1911yescharacteristic
948#383C22×C1911yescharacteristic
949#383C22×C1911yescharacteristic
950#381C22×C1911yescharacteristic
951#381C22×C1911yescharacteristic
952#381C22×C1911yescharacteristic
953#380C22×C1911yescharacteristic
954#380C22×C1911yescharacteristic
955#380C22×C1911yescharacteristic
956C4×C4⋊C4C22×C1911yescharacteristic
957C4×C22⋊C4C22×C1911yescharacteristic
958C4×C22⋊C4C22×C1911yescharacteristic
959C4×C22⋊C4C22×C1911yescharacteristic
960C4×C22⋊C4C22×C1911yescharacteristic
961C2×C19—42no—
962C2×C19—42no—
963C2×C19—81no—
964C2×C19—81no—
965C2×C19—81no—
966C2×C19—81no—
967C2×C19#346011yescharacteristic
968C2×C19#351311yescharacteristic
969C2×C19#351311yescharacteristic
970C2×C19#353711yescharacteristic
971C2×C19#353911yescharacteristic
972C2×C19#356011yescharacteristic
973C2×C19#356211yescharacteristic
974C22×D4C23×C1911yescharacteristic
975C22×D4C23×C1911yescharacteristic
976C22×D4C23×C1911yescharacteristic
977C22×D4C23×C1911yescharacteristic
978C22×D4C23×C1911yescharacteristic
979C22×D4C23×C1911yescharacteristic
980C22×D4C23×C1911yescharacteristic
981C22×D4C23×C1911yescharacteristic
982C22×D4C23×C1911yescharacteristic
983C22×D4C23×C1911yescharacteristic
984C22×D4C23×C1911yescharacteristic
985C22×D4C23×C1911yescharacteristic
986C22×D4C23×C1911yescharacteristic
987C22×D4C23×C1911yescharacteristic
988C22×D4C23×C1911yescharacteristic
989C23×C4C23×C1911yescharacteristic
990C23×C4C23×C1911yescharacteristic
991C23×C4C23×C1911yescharacteristic
992C23×C4C23×C1911yescharacteristic
993C23×C4C23×C1911yescharacteristic
994C23×C4C23×C1911yescharacteristic
995C23×C4C23×C1911yescharacteristic
996C23×C4C23×C1911yescharacteristic
997C23×C4C23×C1911yescharacteristic
998C23×C4C23×C1911yescharacteristic
999#126—42no—
1000#123—24no—
1001#123—42no—
1002#123—42no—
1003#123—42no—
1004#123—42no—
1005#121—24no—
1006#121—24no—
1007#121—42no—
1008#121—42no—
1009#121—42no—
1010#121—42no—
1011#121—42no—
1012#121—42no—
1013#121—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C2×C4⋊C4—42no—
1019C2×C4⋊C4C23×C1911yescharacteristic
1020C2×C4⋊C4C23×C1911yescharacteristic
1021C2×C4⋊C4C23×C1911yescharacteristic
1022C2×C4⋊C4C23×C1911yescharacteristic
1023C2×C4⋊C4C23×C1911yescharacteristic
1024C2×C4⋊C4C23×C1911yescharacteristic
1025C2×C4⋊C4C23×C1911yescharacteristic
1026C2×C4⋊C4C23×C1911yescharacteristic
1027C2×C4⋊C4C23×C1911yescharacteristic
1028C2×C4⋊C4C23×C1911yescharacteristic
1029C2×C4⋊C4C23×C1911yescharacteristic
1030C2×C4⋊C4C23×C1911yescharacteristic
1031C2×C4⋊C4C23×C1911yescharacteristic
1032C2×C4⋊C4C23×C1911yescharacteristic
1033C2×C4⋊C4C23×C1911yescharacteristic
1034C2×C4⋊C4C23×C1911yescharacteristic
1035C2×C4⋊C4C23×C1911yescharacteristic
1036C2×C4⋊C4C23×C1911yescharacteristic
1037C2×C4⋊C4C23×C1911yescharacteristic
1038C2×C4⋊C4C23×C1911yescharacteristic
1039C2×C4⋊C4C23×C1911yescharacteristic
1040C2×C4⋊C4C23×C1911yescharacteristic
1041C2×C4⋊C4C23×C1911yescharacteristic
1042C2×C4⋊C4C23×C1911yescharacteristic
1043C2×C4⋊C4C23×C1911yescharacteristic
1044C2×C4⋊C4C23×C1911yescharacteristic
1045C2×C4⋊C4C23×C1911yescharacteristic
1046C2×C4⋊C4C23×C1911yescharacteristic
1047C2×C4⋊C4C23×C1911yescharacteristic
1048C2×C22⋊C4C23×C1911yescharacteristic
1049C2×C22⋊C4C23×C1911yescharacteristic
1050C2×C22⋊C4C23×C1911yescharacteristic
1051C2×C22⋊C4C23×C1911yescharacteristic
1052C2×C22⋊C4C23×C1911yescharacteristic
1053C2×C22⋊C4C23×C1911yescharacteristic
1054C2×C22⋊C4C23×C1911yescharacteristic
1055C2×C22⋊C4C23×C1911yescharacteristic
1056C2×C22⋊C4C23×C1911yescharacteristic
1057C2×C22⋊C4C23×C1911yescharacteristic
1058C2×C22⋊C4C23×C1911yescharacteristic
1059C2×C22⋊C4C23×C1911yescharacteristic
1060C2×C22⋊C4C23×C1911yescharacteristic
1061C2×C22⋊C4C23×C1911yescharacteristic
1062C2×C22⋊C4C23×C1911yescharacteristic
1063C2×C22⋊C4C23×C1911yescharacteristic
1064C2×C22⋊C4C23×C1911yescharacteristic
1065C2×C22⋊C4C23×C1911yescharacteristic
1066C2×C22⋊C4C23×C1911yescharacteristic
1067C2×C22⋊C4C23×C1911yescharacteristic
1068C2×C22⋊C4C23×C1911yescharacteristic
1069C2×C22⋊C4C23×C1911yescharacteristic
1070C2×C22⋊C4C23×C1911yescharacteristic
1071C2×C22⋊C4C23×C1911yescharacteristic
1072C2×C22⋊C4C23×C1911yescharacteristic
1073C2×C22⋊C4C23×C1911yescharacteristic
1074C2×C22⋊C4C23×C1911yescharacteristic
1075C2×C22⋊C4C23×C1911yescharacteristic
1076C2×C22⋊C4C23×C1911yescharacteristic
1077C2×C22⋊C4C23×C1911yescharacteristic
1078C2×C22⋊C4C23×C1911yescharacteristic
1079C2×C22⋊C4C23×C1911yescharacteristic
1080C2×C22⋊C4C23×C1911yescharacteristic
1081C2×C22⋊C4C23×C1911yescharacteristic
1082C2×C22⋊C4C23×C1911yescharacteristic
1083C2×C22⋊C4C23×C1911yescharacteristic
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×C42—42no—
1099C2×C42C23×C1911yescharacteristic
1100C2×C42C23×C1911yescharacteristic
1101C2×C42C23×C1911yescharacteristic
1102C2×C42C23×C1911yescharacteristic
1103C2×C42C23×C1911yescharacteristic
1104C2×C42C23×C1911yescharacteristic
1105C2×C42C23×C1911yescharacteristic
1106C2×C42C23×C1911yescharacteristic
1107C2×C42C23×C1911yescharacteristic
1108#95C23×C1911yescharacteristic
1109#95C23×C1911yescharacteristic
1110#95C23×C1911yescharacteristic
1111#95C23×C1911yescharacteristic
1112#95C23×C1911yescharacteristic
1113#95C23×C1911yescharacteristic
1114#95C23×C1911yescharacteristic
1115#95C23×C1911yescharacteristic
1116#95C23×C1911yescharacteristic
1117#95C23×C1911yescharacteristic
1118#95C23×C1911yescharacteristic
1119#95C23×C1911yescharacteristic
1120#95C23×C1911yescharacteristic
1121#95C23×C1911yescharacteristic
1122#95C23×C1911yescharacteristic
1123#95C23×C1911yescharacteristic
1124#95C23×C1911yescharacteristic
1125#95C23×C1911yescharacteristic
1126#95C23×C1911yescharacteristic
1127#95C23×C1911yescharacteristic
1128#95C23×C1911yescharacteristic
1129#95C23×C1911yescharacteristic
1130#95C23×C1911yescharacteristic
1131#95C23×C1911yescharacteristic
1132#95C23×C1911yescharacteristic
1133#95C23×C1911yescharacteristic
1134#95C23×C1911yescharacteristic
1135#95C23×C1911yescharacteristic
1136#95C23×C1911yescharacteristic
1137#95C23×C1911yescharacteristic
1138#95C23×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
1150C19#3684711yescharacteristic, direct product factor, Sylow
1151C24C24×C1911yescharacteristic
1152C24C24×C1911yescharacteristic
1153C24C24×C1911yescharacteristic
1154C24C24×C1911yescharacteristic
1155C24C24×C1911yescharacteristic
1156C24C24×C1911yescharacteristic
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4C24×C1911yescharacteristic
1233C22×C4C24×C1911yescharacteristic
1234C22×C4C24×C1911yescharacteristic
1235C22×C4C24×C1911yescharacteristic
1236C22×C4C24×C1911yescharacteristic
1237C22×C4C24×C1911yescharacteristic
1238C22×C4C24×C1911yescharacteristic
1239C22×C4C24×C1911yescharacteristic
1240C22×C4C24×C1911yescharacteristic
1241C22×C4C24×C1911yescharacteristic
1242C22×C4C24×C1911yescharacteristic
1243C22×C4C24×C1911yescharacteristic
1244C22×C4C24×C1911yescharacteristic
1245C22×C4C24×C1911yescharacteristic
1246C22×C4C24×C1911yescharacteristic
1247C22×C4C24×C1911yescharacteristic
1248C22×C4C24×C1911yescharacteristic
1249C22×C4C24×C1911yescharacteristic
1250C22×C4C24×C1911yescharacteristic
1251C22×C4C24×C1911yescharacteristic
1252C22×C4C24×C1911yescharacteristic
1253C22×C4C24×C1911yescharacteristic
1254C22×C4C24×C1911yescharacteristic
1255C22×C4C24×C1911yescharacteristic
1256C22×C4C24×C1911yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4#41×C1914yes—
1336C42—22no—
1337C42—22no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23C2×#41×C1912yes—
1386C23C19×H(5,𝔽2)12yes—
1387C23C25×C1911yescharacteristic
1388D4—44no—
1389D4—44no—
1390D4—44no—
1391D4—44no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4C2×#41×C1912yes—
1485C2×C4C2×#41×C1912yes—
1486C2×C4C19×H(5,𝔽2)12yes—
1487C2×C4C19×H(5,𝔽2)12yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22C22×#41×C1911yescharacteristic
1531C22C2×C19×H(5,𝔽2)11yescharacteristic
1532C22C2×C19×H(5,𝔽2)11yescharacteristic
1533C22C2×C19×H(5,𝔽2)11yescharacteristic
1534C22C19×#58511yescharacteristic
1535C22C19×#58511yescharacteristic
1536C22C19×#58511yescharacteristic
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—81no—
1566C2—81no—
1567C2—81no—
1568C2C19×#346011yescharacteristic
1569C2C19×#351311yescharacteristic
1570C2C19×#351311yescharacteristic
1571C2C19×#353711yescharacteristic
1572C2C19×#353911yescharacteristic
1573C2C19×#356011yescharacteristic
1574C2C19×#356211yescharacteristic
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×#2854C2semidirect
2. C19×#2852C2semidirect
3. C19×#2797C2semidirect
4. C19×#2790C2semidirect
5. C19×#2757C2semidirect
6. C19×#2752C2semidirect
7. C19×#2749C2semidirect
8. C19×#2749C2semidirect
9. C19×#2747C2semidirect
10. C19×#2738C2semidirect
11. C19×#2718C2semidirect
12. C19×#2714C2semidirect
13. C19×#2703C2semidirect
14. C19×#2703C2semidirect
15. C19×#2688C2semidirect
16. C19×#2688C2semidirect
17. C19×#2675C2semidirect
18. C19×#2671C2semidirect
19. C19×#2661C2semidirect
20. C19×#2652C2semidirect
21. C19×#2595C2semidirect
22. C19×#2573C2semidirect
23. C19×#2464C2semidirect
24. C19×#2456C2semidirect
25. C19×#2456C2semidirect
26. C19×#2443C2semidirect
27. C19×#2443C2semidirect
28. C19×#2422C2semidirect
29. C19×#2333C2semidirect
30. C19×#2322C2semidirect
31. C4×C19×#121C2semidirect
557. #36847C19direct (N × H)
701. #2854C2×C19semidirect
702. #2852C2×C19semidirect
703. #2797C2×C19semidirect
704. #2790C2×C19semidirect
705. #2757C2×C19semidirect
706. #2752C2×C19semidirect
707. #2749C2×C19semidirect
708. #2749C2×C19semidirect
709. #2747C2×C19semidirect
710. #2738C2×C19semidirect
711. #2718C2×C19semidirect
712. #2714C2×C19semidirect
713. #2703C2×C19semidirect
714. #2703C2×C19semidirect
715. #2688C2×C19semidirect
716. #2688C2×C19semidirect
717. #2675C2×C19semidirect
718. #2671C2×C19semidirect
719. #2661C2×C19semidirect
720. #2652C2×C19semidirect
721. #2595C2×C19semidirect
722. #2573C2×C19semidirect
723. #2464C2×C19semidirect
724. #2456C2×C19semidirect
725. #2456C2×C19semidirect
726. #2443C2×C19semidirect
727. #2443C2×C19semidirect
728. #2422C2×C19semidirect
729. #2333C2×C19semidirect
730. #2322C2×C19semidirect
731. C4×#121C2×C19semidirect
1150. C19#36847direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28542
C19×#28522
C19×#27972
C19×#27902
C19×#27572
C19×#27522
C19×#27492
C19×#27472
C19×#27382
C19×#27182
C19×#27142
C19×#27032
C19×#26882
C19×#26752
C19×#26712
C19×#26612
C19×#26522
C19×#25952
C19×#25732
C19×#24642
C19×#24562
C19×#24432
C19×#24222
C19×#23332
C19×#23222
C4×C19×#1212
#3684719