Finite Group Databasebeta

← C19×#36856 #18042815

Subgroups — C19×#36856 #18042815

Order 4864.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 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×#2797C211yesmaximal, characteristic, complemented
4C19×#2782C211yesmaximal, characteristic, complemented
5C19×#2780C211yesmaximal, characteristic, complemented
6C19×#2750C211yesmaximal, characteristic, complemented
7C19×#2744C211yesmaximal, characteristic, complemented
8C19×#2708C211yesmaximal, characteristic, complemented
9C19×#2697C211yesmaximal, characteristic, complemented
10C19×#2693C211yesmaximal, characteristic, complemented
11C19×#2693C211yesmaximal, characteristic, complemented
12C19×#2688C211yesmaximal, characteristic, complemented
13C19×#2688C211yesmaximal, characteristic, complemented
14C19×#2682C211yesmaximal, characteristic, complemented
15C19×#2678C211yesmaximal, characteristic, complemented
16C19×#2673C211yesmaximal, characteristic, complemented
17C19×#2669C211yesmaximal, characteristic, complemented
18C19×#2668C211yesmaximal, characteristic, complemented
19C19×#2649C211yesmaximal, characteristic, complemented
20C19×#2648C211yesmaximal, characteristic, complemented
21C19×#2530C211yesmaximal, characteristic, complemented
22C19×#2526C211yesmaximal, characteristic, complemented
23C19×#2464C211yesmaximal, characteristic, complemented
24C19×#2457C211yesmaximal, characteristic, complemented
25C19×#2456C211yesmaximal, characteristic, complemented
26C19×#2456C211yesmaximal, characteristic, complemented
27C19×#2444C211yesmaximal, characteristic, complemented
28C19×#2425C211yesmaximal, characteristic, complemented
29C19×#2328C211yesmaximal, characteristic, complemented
30C19×#2325C211yesmaximal, characteristic, complemented
31C4×C19×#120C211yesmaximal, characteristic, complemented
32C24×C4×C19C2211yescharacteristic
33C2×C19×#127C2211yescharacteristic
34C2×C19×#123C2211yescharacteristic
35C2×C19×#123C2211yescharacteristic
36C2×C19×#123C2211yescharacteristic
37C2×C19×#123C2211yescharacteristic
38C2×C19×#123C2211yescharacteristic, complemented
39C2×C19×#123C2211yescharacteristic, complemented
40C2×C19×#121C2211yescharacteristic
41C2×C19×#121C2211yescharacteristic
42C2×C19×#121C2211yescharacteristic
43C2×C19×#121C2211yescharacteristic
44C2×C19×#121C2211yescharacteristic
45C2×C19×#121C2211yescharacteristic
46C2×C19×#121C2211yescharacteristic
47C2×C19×#121C2211yescharacteristic
48C2×C19×#120C2211yescharacteristic
49C2×C19×#120C2211yescharacteristic
50C2×C19×#120C2211yescharacteristic
51C2×C19×#120C2211yescharacteristic
52C2×C4×D4×C19C2211yescharacteristic
53C2×C4×D4×C19C2211yescharacteristic
54C2×C4×D4×C19C2211yescharacteristic
55C2×C4×D4×C19C2211yescharacteristic, complemented
56C2×C4×D4×C19C2211yescharacteristic, complemented
57C19×#400C2211yescharacteristic, complemented
58C19×#400C2211yescharacteristic, complemented
59C19×#400C2211yescharacteristic, complemented
60C19×#400C2211yescharacteristic, complemented
61C19×#400C2211yescharacteristic, complemented
62C19×#400C2211yescharacteristic, complemented
63C19×#400C2211yescharacteristic, complemented
64C19×#400C2211yescharacteristic, complemented
65C19×#399C2211yescharacteristic
66C19×#398C2211yescharacteristic, complemented
67C19×#398C2211yescharacteristic, complemented
68C19×#397C2211yescharacteristic
69C19×#397C2211yescharacteristic
70C19×#397C2211yescharacteristic
71C19×#397C2211yescharacteristic
72C19×#397C2211yescharacteristic
73C19×#397C2211yescharacteristic, complemented
74C19×#397C2211yescharacteristic, complemented
75C19×#397C2211yescharacteristic, complemented
76C19×#397C2211yescharacteristic, complemented
77C19×#397C2211yescharacteristic, complemented
78C19×#396C2211yescharacteristic
79C19×#396C2211yescharacteristic
80C19×#396C2211yescharacteristic
81C19×#396C2211yescharacteristic, complemented
82C19×#396C2211yescharacteristic, complemented
83C19×#396C2211yescharacteristic, complemented
84C19×#396C2211yescharacteristic, complemented
85C19×#394C2211yescharacteristic
86C19×#394C2211yescharacteristic
87C19×#394C2211yescharacteristic
88C19×#394C2211yescharacteristic
89C19×#394C2211yescharacteristic
90C19×#394C2211yescharacteristic
91C19×#394C2211yescharacteristic
92C19×#394C2211yescharacteristic
93C19×#394C2211yescharacteristic, complemented
94C19×#394C2211yescharacteristic, complemented
95C19×#392C2211yescharacteristic
96C19×#392C2211yescharacteristic
97C19×#392C2211yescharacteristic
98C19×#392C2211yescharacteristic
99C19×#392C2211yescharacteristic
100C19×#392C2211yescharacteristic
101C19×#392C2211yescharacteristic
102C19×#392C2211yescharacteristic, complemented
103C19×#392C2211yescharacteristic, complemented
104C19×#392C2211yescharacteristic, complemented
105C19×#390C2211yescharacteristic
106C19×#390C2211yescharacteristic
107C19×#390C2211yescharacteristic
108C19×#390C2211yescharacteristic, complemented
109C19×#390C2211yescharacteristic, complemented
110C19×#389C2211yescharacteristic, complemented
111C19×#389C2211yescharacteristic, complemented
112C19×#388C2211yescharacteristic
113C19×#388C2211yescharacteristic
114C19×#388C2211yescharacteristic
115C19×#388C2211yescharacteristic
116C19×#388C2211yescharacteristic
117C19×#388C2211yescharacteristic, complemented
118C19×#388C2211yescharacteristic, complemented
119C19×#388C2211yescharacteristic, complemented
120C19×#388C2211yescharacteristic, complemented
121C19×#388C2211yescharacteristic, complemented
122C19×#388C2211yescharacteristic, complemented
123C19×#388C2211yescharacteristic, complemented
124C19×#387C2211yescharacteristic, 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
148C19×#386C2211yescharacteristic
149C19×#386C2211yescharacteristic
150C19×#386C2211yescharacteristic
151C19×#386C2211yescharacteristic
152C19×#386C2211yescharacteristic, complemented
153C19×#386C2211yescharacteristic, complemented
154C19×#386C2211yescharacteristic, complemented
155C19×#386C2211yescharacteristic, complemented
156C19×#386C2211yescharacteristic, complemented
157C19×#386C2211yescharacteristic, complemented
158C19×#386C2211yescharacteristic, complemented
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic
165C19×#385C2211yescharacteristic
166C19×#385C2211yescharacteristic, complemented
167C19×#385C2211yescharacteristic, complemented
168C19×#385C2211yescharacteristic, complemented
169C19×#385C2211yescharacteristic, complemented
170C19×#385C2211yescharacteristic, complemented
171C19×#382C2211yescharacteristic, complemented
172C19×#381C2211yescharacteristic
173C19×#381C2211yescharacteristic
174C19×#381C2211yescharacteristic, complemented
175C19×#380C2211yescharacteristic
176C19×#380C2211yescharacteristic
177C19×#380C2211yescharacteristic
178C19×#380C2211yescharacteristic, complemented
179C19×#380C2211yescharacteristic, complemented
180C19×#379C2211yescharacteristic
181C19×#379C2211yescharacteristic
182C4×C22⋊C4×C19C2211yescharacteristic
183C4×C22⋊C4×C19C2211yescharacteristic
184C4×C22⋊C4×C19C2211yescharacteristic
185C19×#376C2211yescharacteristic, complemented
186C2×C19×#95C2211yescharacteristic, complemented
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
200C22×D4×C19C2311yescharacteristic
201C22×D4×C19C2311yescharacteristic
202C22×D4×C19C2311yescharacteristic
203C22×D4×C19C2311yescharacteristic
204C22×D4×C19C2311yescharacteristic
205C22×D4×C19C2311yescharacteristic
206C23×C4×C19—42no—
207C23×C4×C19—42no—
208C23×C4×C19—42no—
209C23×C4×C19C2311yescharacteristic
210C23×C4×C19C2311yescharacteristic
211C23×C4×C19C2311yescharacteristic
212C23×C4×C19C2311yescharacteristic
213C23×C4×C19C2311yescharacteristic
214C23×C4×C19C2311yescharacteristic
215C23×C4×C19C2311yescharacteristic
216C23×C4×C19C2311yescharacteristic
217C23×C4×C19C2311yescharacteristic
218C23×C4×C19C2311yescharacteristic
219C23×C4×C19C2311yescharacteristic
220C23×C4×C19C2311yescharacteristic
221C19×#127—24no—
222C19×#123—42no—
223C19×#123—42no—
224C19×#123—42no—
225C19×#123—42no—
226C19×#123—42no—
227C19×#123—42no—
228C19×#121—24no—
229C19×#121—42no—
230C19×#121—42no—
231C19×#121—42no—
232C19×#121—42no—
233C19×#121—42no—
234C19×#121—42no—
235C19×#121—42no—
236C19×#120—24no—
237C19×#120—42no—
238C19×#120—42no—
239C19×#120—42no—
240C4×D4×C19—42no—
241C4×D4×C19—42no—
242C4×D4×C19—42no—
243C4×D4×C19—42no—
244C4×D4×C19—42no—
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×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×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×C42×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—41no—
373C24×C19—41no—
374C24×C19—41no—
375C24×C19—41no—
376C24×C19C2411yescharacteristic
377C24×C19C2411yescharacteristic
378C24×C19C2411yescharacteristic
379C24×C19C2411yescharacteristic
380C24×C19C2411yescharacteristic
381C24×C19C2411yescharacteristic
382C24×C19C2411yescharacteristic
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—22no—
400C2×D4×C19—22no—
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—
418C2×D4×C19—41no—
419C2×D4×C19—41no—
420C2×D4×C19—41no—
421C2×D4×C19—41no—
422C2×D4×C19—41no—
423C2×D4×C19—41no—
424C2×D4×C19—41no—
425C2×D4×C19—41no—
426C2×D4×C19—41no—
427C2×D4×C19—41no—
428C2×D4×C19—41no—
429C2×D4×C19—41no—
430C2×D4×C19—41no—
431C2×D4×C19—41no—
432C2×D4×C19—41no—
433C2×D4×C19—41no—
434C2×D4×C19—41no—
435C2×D4×C19—41no—
436C2×D4×C19#4114yes—
437C22×C4×C19—22no—
438C22×C4×C19—22no—
439C22×C4×C19—22no—
440C22×C4×C19—22no—
441C22×C4×C19—22no—
442C22×C4×C19—22no—
443C22×C4×C19—22no—
444C22×C4×C19—22no—
445C22×C4×C19—22no—
446C22×C4×C19—22no—
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—41no—
457C22×C4×C19—41no—
458C22×C4×C19—41no—
459C22×C4×C19—41no—
460C22×C4×C19—41no—
461C22×C4×C19—41no—
462C22×C4×C19—41no—
463C22×C4×C19—41no—
464C22×C4×C19—41no—
465C22×C4×C19—41no—
466C22×C4×C19—41no—
467C22×C4×C19—41no—
468C22×C4×C19—41no—
469C22×C4×C19—41no—
470C22×C4×C19—41no—
471C22×C4×C19—41no—
472C22×C4×C19—41no—
473C22×C4×C19—416no—
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
483C22×C4×C19C2411yescharacteristic
484C22×C4×C19C2411yescharacteristic
485C22×C4×C19C2411yescharacteristic
486C22×C4×C19C2411yescharacteristic
487C22×C4×C19C2411yescharacteristic
488C22×C4×C19C2411yescharacteristic
489C22×C4×C19C2411yescharacteristic
490C22×C4×C19C2411yescharacteristic
491C22×C4×C19C2411yescharacteristic
492C22×C4×C19C2411yescharacteristic
493C22×C4×C19C2411yescharacteristic
494C22×C4×C19C2411yescharacteristic
495C22×C4×C19C2411yescharacteristic
496C22×C4×C19C2411yescharacteristic
497C22×C4×C19C2411yescharacteristic
498C4⋊C4×C19—22no—
499C4⋊C4×C19—22no—
500C4⋊C4×C19—22no—
501C4⋊C4×C19—22no—
502C4⋊C4×C19—22no—
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—
517C4⋊C4×C19—41no—
518C4⋊C4×C19—41no—
519C4⋊C4×C19—41no—
520C4⋊C4×C19—41no—
521C4⋊C4×C19—41no—
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—22no—
535C22⋊C4×C19—22no—
536C22⋊C4×C19—22no—
537C22⋊C4×C19—22no—
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—
567C22⋊C4×C19—41no—
568C22⋊C4×C19—41no—
569C22⋊C4×C19—41no—
570C22⋊C4×C19—41no—
571C22⋊C4×C19—41no—
572C22⋊C4×C19—41no—
573C22⋊C4×C19—41no—
574C22⋊C4×C19—41no—
575C22⋊C4×C19—41no—
576C42×C19—22no—
577C42×C19—22no—
578C42×C19—41no—
579C42×C19—41no—
580C42×C19—41no—
581C42×C19—41no—
582#36856C1911yesmaximal, characteristic, direct product factor, Sylow
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—21no—
612C23×C19—21no—
613C23×C19—21no—
614C23×C19—21no—
615C23×C19—21no—
616C23×C19—21no—
617C23×C19—21no—
618C23×C19—21no—
619C23×C19—21no—
620C23×C19—21no—
621C23×C19—21no—
622C23×C19—21no—
623C23×C19—21no—
624C23×C19—21no—
625C23×C19—21no—
626C23×C19—21no—
627C23×C19—21no—
628C23×C19—44no—
629C23×C19—44no—
630C23×C19—44no—
631C23×C19—44no—
632C23×C19—44no—
633C23×C19—44no—
634C23×C19—44no—
635C23×C19C2×#4112yes—
636C23×C19C2×#4112yes—
637C23×C19H(5,𝔽2)12yes—
638C23×C19H(5,𝔽2)12yes—
639C23×C19C2511yescharacteristic
640D4×C19—44no—
641D4×C19—44no—
642D4×C19—44no—
643D4×C19—44no—
644D4×C19—44no—
645D4×C19—82no—
646D4×C19—82no—
647D4×C19—82no—
648D4×C19—82no—
649D4×C19—82no—
650D4×C19—82no—
651D4×C19—82no—
652D4×C19—82no—
653D4×C19—82no—
654D4×C19—82no—
655D4×C19—82no—
656D4×C19—82no—
657D4×C19—82no—
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—21no—
708C2×C4×C19—21no—
709C2×C4×C19—21no—
710C2×C4×C19—21no—
711C2×C4×C19—21no—
712C2×C4×C19—21no—
713C2×C4×C19—21no—
714C2×C4×C19—21no—
715C2×C4×C19—21no—
716C2×C4×C19—21no—
717C2×C4×C19—21no—
718C2×C4×C19—21no—
719C2×C4×C19—21no—
720C2×C4×C19—21no—
721C2×C4×C19—21no—
722C2×C4×C19—21no—
723C2×C4×C19—21no—
724C2×C4×C19—21no—
725C2×C4×C19—21no—
726C2×C4×C19—21no—
727C2×C4×C19—44no—
728C2×C4×C19—44no—
729C2×C4×C19—44no—
730C2×C4×C19—44no—
731C2×C4×C19—44no—
732C2×C4×C19—44no—
733C2×C4×C19—82no—
734C2×C4×C19—82no—
735C2×C4×C19—82no—
736C2×C4×C19—82no—
737C2×C4×C19—82no—
738C2×C4×C19—82no—
739C2×C4×C19C2×#4112yes—
740C2×C4×C19H(5,𝔽2)12yes—
741C2×C4×C19H(5,𝔽2)12yes—
742#2849C2×C1911yescharacteristic, complemented
743#2847C2×C1911yescharacteristic, complemented
744#2797C2×C1911yescharacteristic, complemented
745#2782C2×C1911yescharacteristic, complemented
746#2780C2×C1911yescharacteristic, complemented
747#2750C2×C1911yescharacteristic, complemented
748#2744C2×C1911yescharacteristic, complemented
749#2708C2×C1911yescharacteristic, complemented
750#2697C2×C1911yescharacteristic, complemented
751#2693C2×C1911yescharacteristic, complemented
752#2693C2×C1911yescharacteristic, complemented
753#2688C2×C1911yescharacteristic, complemented
754#2688C2×C1911yescharacteristic, complemented
755#2682C2×C1911yescharacteristic, complemented
756#2678C2×C1911yescharacteristic, complemented
757#2673C2×C1911yescharacteristic, complemented
758#2669C2×C1911yescharacteristic, complemented
759#2668C2×C1911yescharacteristic, complemented
760#2649C2×C1911yescharacteristic, complemented
761#2648C2×C1911yescharacteristic, complemented
762#2530C2×C1911yescharacteristic, complemented
763#2526C2×C1911yescharacteristic, complemented
764#2464C2×C1911yescharacteristic, complemented
765#2457C2×C1911yescharacteristic, complemented
766#2456C2×C1911yescharacteristic, complemented
767#2456C2×C1911yescharacteristic, complemented
768#2444C2×C1911yescharacteristic, complemented
769#2425C2×C1911yescharacteristic, complemented
770#2328C2×C1911yescharacteristic, complemented
771#2325C2×C1911yescharacteristic, complemented
772C4×#120C2×C1911yescharacteristic, complemented
773C22×C19—22no—
774C22×C19—22no—
775C22×C19—22no—
776C22×C19—22no—
777C22×C19—22no—
778C22×C19—22no—
779C22×C19—22no—
780C22×C19—22no—
781C22×C19—22no—
782C22×C19—22no—
783C22×C19—22no—
784C22×C19—22no—
785C22×C19—416no—
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—41no—
797C22×C19—41no—
798C22×C19—41no—
799C22×C19—41no—
800C22×C19—41no—
801C22×C19—41no—
802C22×C19—41no—
803C22×C19—41no—
804C22×C19—41no—
805C22×C19—41no—
806C22×C19—41no—
807C22×C19—41no—
808C22×C19—41no—
809C22×C19—41no—
810C22×C19—41no—
811C22×C19—41no—
812C22×C19—41no—
813C22×C19—41no—
814C22×C19—41no—
815C22×C19—41no—
816C22×C19—41no—
817C22×C19—41no—
818C22×C19—41no—
819C22×C19—41no—
820C22×C19—41no—
821C22×C19—41no—
822C22×C19—41no—
823C22×C19C22×#4111yescharacteristic
824C22×C19C2×H(5,𝔽2)11yescharacteristic
825C22×C19C2×H(5,𝔽2)11yescharacteristic
826C22×C19C2×H(5,𝔽2)11yescharacteristic
827C22×C19C2×H(5,𝔽2)11yescharacteristic
828C22×C19#58511yescharacteristic
829C22×C19#58511yescharacteristic
830C4×C19—22no—
831C4×C19—22no—
832C4×C19—22no—
833C4×C19—41no—
834C4×C19—41no—
835C4×C19—41no—
836C4×C19—41no—
837C4×C19—41no—
838C4×C19—41no—
839C4×C19—41no—
840C4×C19—41no—
841C4×C19—41no—
842C4×C19—41no—
843C4×C19—41no—
844C4×C19—41no—
845C4×C19—41no—
846C4×C19—41no—
847C4×C19—41no—
848C4×C19—41no—
849C4×C19—41no—
850C4×C19—41no—
851C4×C19—41no—
852C4×C19—41no—
853C4×C19—41no—
854C24×C4C22×C1911yescharacteristic
855C2×#127C22×C1911yescharacteristic
856C2×#123C22×C1911yescharacteristic
857C2×#123C22×C1911yescharacteristic
858C2×#123C22×C1911yescharacteristic
859C2×#123C22×C1911yescharacteristic
860C2×#123C22×C1911yescharacteristic, complemented
861C2×#123C22×C1911yescharacteristic, complemented
862C2×#121C22×C1911yescharacteristic
863C2×#121C22×C1911yescharacteristic
864C2×#121C22×C1911yescharacteristic
865C2×#121C22×C1911yescharacteristic
866C2×#121C22×C1911yescharacteristic
867C2×#121C22×C1911yescharacteristic
868C2×#121C22×C1911yescharacteristic
869C2×#121C22×C1911yescharacteristic
870C2×#120C22×C1911yescharacteristic
871C2×#120C22×C1911yescharacteristic
872C2×#120C22×C1911yescharacteristic
873C2×#120C22×C1911yescharacteristic
874C2×C4×D4C22×C1911yescharacteristic
875C2×C4×D4C22×C1911yescharacteristic
876C2×C4×D4C22×C1911yescharacteristic
877C2×C4×D4C22×C1911yescharacteristic, complemented
878C2×C4×D4C22×C1911yescharacteristic, complemented
879#400C22×C1911yescharacteristic, complemented
880#400C22×C1911yescharacteristic, complemented
881#400C22×C1911yescharacteristic, complemented
882#400C22×C1911yescharacteristic, complemented
883#400C22×C1911yescharacteristic, complemented
884#400C22×C1911yescharacteristic, complemented
885#400C22×C1911yescharacteristic, complemented
886#400C22×C1911yescharacteristic, complemented
887#399C22×C1911yescharacteristic
888#398C22×C1911yescharacteristic, complemented
889#398C22×C1911yescharacteristic, complemented
890#397C22×C1911yescharacteristic
891#397C22×C1911yescharacteristic
892#397C22×C1911yescharacteristic
893#397C22×C1911yescharacteristic
894#397C22×C1911yescharacteristic
895#397C22×C1911yescharacteristic, complemented
896#397C22×C1911yescharacteristic, complemented
897#397C22×C1911yescharacteristic, complemented
898#397C22×C1911yescharacteristic, complemented
899#397C22×C1911yescharacteristic, complemented
900#396C22×C1911yescharacteristic
901#396C22×C1911yescharacteristic
902#396C22×C1911yescharacteristic
903#396C22×C1911yescharacteristic, complemented
904#396C22×C1911yescharacteristic, complemented
905#396C22×C1911yescharacteristic, complemented
906#396C22×C1911yescharacteristic, complemented
907#394C22×C1911yescharacteristic
908#394C22×C1911yescharacteristic
909#394C22×C1911yescharacteristic
910#394C22×C1911yescharacteristic
911#394C22×C1911yescharacteristic
912#394C22×C1911yescharacteristic
913#394C22×C1911yescharacteristic
914#394C22×C1911yescharacteristic
915#394C22×C1911yescharacteristic, complemented
916#394C22×C1911yescharacteristic, complemented
917#392C22×C1911yescharacteristic
918#392C22×C1911yescharacteristic
919#392C22×C1911yescharacteristic
920#392C22×C1911yescharacteristic
921#392C22×C1911yescharacteristic
922#392C22×C1911yescharacteristic
923#392C22×C1911yescharacteristic
924#392C22×C1911yescharacteristic, complemented
925#392C22×C1911yescharacteristic, complemented
926#392C22×C1911yescharacteristic, complemented
927#390C22×C1911yescharacteristic
928#390C22×C1911yescharacteristic
929#390C22×C1911yescharacteristic
930#390C22×C1911yescharacteristic, complemented
931#390C22×C1911yescharacteristic, complemented
932#389C22×C1911yescharacteristic, complemented
933#389C22×C1911yescharacteristic, complemented
934#388C22×C1911yescharacteristic
935#388C22×C1911yescharacteristic
936#388C22×C1911yescharacteristic
937#388C22×C1911yescharacteristic
938#388C22×C1911yescharacteristic
939#388C22×C1911yescharacteristic, complemented
940#388C22×C1911yescharacteristic, complemented
941#388C22×C1911yescharacteristic, complemented
942#388C22×C1911yescharacteristic, complemented
943#388C22×C1911yescharacteristic, complemented
944#388C22×C1911yescharacteristic, complemented
945#388C22×C1911yescharacteristic, complemented
946#387C22×C1911yescharacteristic, complemented
947#387C22×C1911yescharacteristic, complemented
948#387C22×C1911yescharacteristic, complemented
949#387C22×C1911yescharacteristic, complemented
950#387C22×C1911yescharacteristic, complemented
951#387C22×C1911yescharacteristic, complemented
952#387C22×C1911yescharacteristic, complemented
953#386C22×C1911yescharacteristic
954#386C22×C1911yescharacteristic
955#386C22×C1911yescharacteristic
956#386C22×C1911yescharacteristic
957#386C22×C1911yescharacteristic
958#386C22×C1911yescharacteristic
959#386C22×C1911yescharacteristic
960#386C22×C1911yescharacteristic
961#386C22×C1911yescharacteristic
962#386C22×C1911yescharacteristic
963#386C22×C1911yescharacteristic
964#386C22×C1911yescharacteristic
965#386C22×C1911yescharacteristic
966#386C22×C1911yescharacteristic
967#386C22×C1911yescharacteristic
968#386C22×C1911yescharacteristic
969#386C22×C1911yescharacteristic
970#386C22×C1911yescharacteristic
971#386C22×C1911yescharacteristic
972#386C22×C1911yescharacteristic
973#386C22×C1911yescharacteristic
974#386C22×C1911yescharacteristic, complemented
975#386C22×C1911yescharacteristic, complemented
976#386C22×C1911yescharacteristic, complemented
977#386C22×C1911yescharacteristic, complemented
978#386C22×C1911yescharacteristic, complemented
979#386C22×C1911yescharacteristic, complemented
980#386C22×C1911yescharacteristic, complemented
981#385C22×C1911yescharacteristic
982#385C22×C1911yescharacteristic
983#385C22×C1911yescharacteristic
984#385C22×C1911yescharacteristic
985#385C22×C1911yescharacteristic
986#385C22×C1911yescharacteristic
987#385C22×C1911yescharacteristic
988#385C22×C1911yescharacteristic, complemented
989#385C22×C1911yescharacteristic, complemented
990#385C22×C1911yescharacteristic, complemented
991#385C22×C1911yescharacteristic, complemented
992#385C22×C1911yescharacteristic, complemented
993#382C22×C1911yescharacteristic, complemented
994#381C22×C1911yescharacteristic
995#381C22×C1911yescharacteristic
996#381C22×C1911yescharacteristic, complemented
997#380C22×C1911yescharacteristic
998#380C22×C1911yescharacteristic
999#380C22×C1911yescharacteristic
1000#380C22×C1911yescharacteristic, complemented
1001#380C22×C1911yescharacteristic, complemented
1002#379C22×C1911yescharacteristic
1003#379C22×C1911yescharacteristic
1004C4×C22⋊C4C22×C1911yescharacteristic
1005C4×C22⋊C4C22×C1911yescharacteristic
1006C4×C22⋊C4C22×C1911yescharacteristic
1007#376C22×C1911yescharacteristic, complemented
1008C2×#95C22×C1911yescharacteristic, complemented
1009C2×C19—42no—
1010C2×C19—42no—
1011C2×C19—42no—
1012C2×C19—42no—
1013C2×C19—81no—
1014C2×C19—81no—
1015C2×C19—81no—
1016C2×C19#345911yescharacteristic
1017C2×C19#351311yescharacteristic
1018C2×C19#351911yescharacteristic
1019C2×C19#353211yescharacteristic
1020C2×C19#353411yescharacteristic
1021C2×C19#353911yescharacteristic
1022C2×C19#354211yescharacteristic
1023C25C23×C1911yescharacteristic
1024C22×D4C23×C1911yescharacteristic
1025C22×D4C23×C1911yescharacteristic
1026C22×D4C23×C1911yescharacteristic
1027C22×D4C23×C1911yescharacteristic
1028C22×D4C23×C1911yescharacteristic
1029C22×D4C23×C1911yescharacteristic
1030C22×D4C23×C1911yescharacteristic
1031C22×D4C23×C1911yescharacteristic
1032C22×D4C23×C1911yescharacteristic
1033C22×D4C23×C1911yescharacteristic
1034C22×D4C23×C1911yescharacteristic
1035C22×D4C23×C1911yescharacteristic
1036C22×D4C23×C1911yescharacteristic
1037C22×D4C23×C1911yescharacteristic
1038C22×D4C23×C1911yescharacteristic
1039C22×D4C23×C1911yescharacteristic
1040C22×D4C23×C1911yescharacteristic
1041C22×D4C23×C1911yescharacteristic
1042C23×C4—42no—
1043C23×C4—42no—
1044C23×C4—42no—
1045C23×C4C23×C1911yescharacteristic
1046C23×C4C23×C1911yescharacteristic
1047C23×C4C23×C1911yescharacteristic
1048C23×C4C23×C1911yescharacteristic
1049C23×C4C23×C1911yescharacteristic
1050C23×C4C23×C1911yescharacteristic
1051C23×C4C23×C1911yescharacteristic
1052C23×C4C23×C1911yescharacteristic
1053C23×C4C23×C1911yescharacteristic
1054C23×C4C23×C1911yescharacteristic
1055C23×C4C23×C1911yescharacteristic
1056C23×C4C23×C1911yescharacteristic
1057#127—24no—
1058#123—42no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#123—42no—
1063#123—42no—
1064#121—24no—
1065#121—42no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#120—24no—
1073#120—42no—
1074#120—42no—
1075#120—42no—
1076C4×D4—42no—
1077C4×D4—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C2×C4⋊C4C23×C1911yescharacteristic
1082C2×C4⋊C4C23×C1911yescharacteristic
1083C2×C4⋊C4C23×C1911yescharacteristic
1084C2×C4⋊C4C23×C1911yescharacteristic
1085C2×C4⋊C4C23×C1911yescharacteristic
1086C2×C4⋊C4C23×C1911yescharacteristic
1087C2×C4⋊C4C23×C1911yescharacteristic
1088C2×C4⋊C4C23×C1911yescharacteristic
1089C2×C4⋊C4C23×C1911yescharacteristic
1090C2×C4⋊C4C23×C1911yescharacteristic
1091C2×C4⋊C4C23×C1911yescharacteristic
1092C2×C4⋊C4C23×C1911yescharacteristic
1093C2×C4⋊C4C23×C1911yescharacteristic
1094C2×C4⋊C4C23×C1911yescharacteristic
1095C2×C4⋊C4C23×C1911yescharacteristic
1096C2×C4⋊C4C23×C1911yescharacteristic
1097C2×C4⋊C4C23×C1911yescharacteristic
1098C2×C4⋊C4C23×C1911yescharacteristic
1099C2×C4⋊C4C23×C1911yescharacteristic
1100C2×C4⋊C4C23×C1911yescharacteristic
1101C2×C4⋊C4C23×C1911yescharacteristic
1102C2×C4⋊C4C23×C1911yescharacteristic
1103C2×C4⋊C4C23×C1911yescharacteristic
1104C2×C4⋊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×C22⋊C4C23×C1911yescharacteristic
1135C2×C22⋊C4C23×C1911yescharacteristic
1136C2×C22⋊C4C23×C1911yescharacteristic
1137C2×C22⋊C4C23×C1911yescharacteristic
1138C2×C22⋊C4C23×C1911yescharacteristic
1139C2×C22⋊C4C23×C1911yescharacteristic
1140C2×C22⋊C4C23×C1911yescharacteristic
1141C2×C22⋊C4C23×C1911yescharacteristic
1142C2×C22⋊C4C23×C1911yescharacteristic
1143C2×C22⋊C4C23×C1911yescharacteristic
1144C2×C22⋊C4C23×C1911yescharacteristic
1145C2×C22⋊C4C23×C1911yescharacteristic
1146C2×C22⋊C4C23×C1911yescharacteristic
1147C2×C22⋊C4C23×C1911yescharacteristic
1148C2×C22⋊C4C23×C1911yescharacteristic
1149C2×C22⋊C4C23×C1911yescharacteristic
1150C2×C22⋊C4C23×C1911yescharacteristic
1151C2×C22⋊C4C23×C1911yescharacteristic
1152C2×C22⋊C4C23×C1911yescharacteristic
1153C2×C22⋊C4C23×C1911yescharacteristic
1154C2×C22⋊C4C23×C1911yescharacteristic
1155C2×C22⋊C4C23×C1911yescharacteristic
1156C2×C22⋊C4C23×C1911yescharacteristic
1157C2×C22⋊C4C23×C1911yescharacteristic
1158C2×C22⋊C4C23×C1911yescharacteristic
1159C2×C42C23×C1911yescharacteristic
1160C2×C42C23×C1911yescharacteristic
1161C2×C42C23×C1911yescharacteristic
1162C2×C42C23×C1911yescharacteristic
1163C2×C42C23×C1911yescharacteristic
1164C2×C42C23×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
1179#95C23×C1911yescharacteristic
1180#95C23×C1911yescharacteristic
1181#95C23×C1911yescharacteristic
1182#95C23×C1911yescharacteristic
1183#95C23×C1911yescharacteristic
1184#95C23×C1911yescharacteristic
1185#95C23×C1911yescharacteristic
1186#95C23×C1911yescharacteristic
1187#95C23×C1911yescharacteristic
1188#95C23×C1911yescharacteristic
1189#95C23×C1911yescharacteristic
1190#95C23×C1911yescharacteristic
1191#95C23×C1911yescharacteristic
1192#95C23×C1911yescharacteristic
1193#95C23×C1911yescharacteristic
1194#95C23×C1911yescharacteristic
1195#95C23×C1911yescharacteristic
1196#95C23×C1911yescharacteristic
1197#95C23×C1911yescharacteristic
1198#95C23×C1911yescharacteristic
1199#95C23×C1911yescharacteristic
1200#95C23×C1911yescharacteristic
1201#95C23×C1911yescharacteristic
1202#95C23×C1911yescharacteristic
1203#95C23×C1911yescharacteristic
1204#95C23×C1911yescharacteristic
1205C19#3685611yescharacteristic, direct product factor, Sylow
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C1911yescharacteristic
1214C24C24×C1911yescharacteristic
1215C24C24×C1911yescharacteristic
1216C24C24×C1911yescharacteristic
1217C24C24×C1911yescharacteristic
1218C24C24×C1911yescharacteristic
1219C24C24×C1911yescharacteristic
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4#41×C1914yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
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—416no—
1311C22×C4C24×C1911yescharacteristic
1312C22×C4C24×C1911yescharacteristic
1313C22×C4C24×C1911yescharacteristic
1314C22×C4C24×C1911yescharacteristic
1315C22×C4C24×C1911yescharacteristic
1316C22×C4C24×C1911yescharacteristic
1317C22×C4C24×C1911yescharacteristic
1318C22×C4C24×C1911yescharacteristic
1319C22×C4C24×C1911yescharacteristic
1320C22×C4C24×C1911yescharacteristic
1321C22×C4C24×C1911yescharacteristic
1322C22×C4C24×C1911yescharacteristic
1323C22×C4C24×C1911yescharacteristic
1324C22×C4C24×C1911yescharacteristic
1325C22×C4C24×C1911yescharacteristic
1326C22×C4C24×C1911yescharacteristic
1327C22×C4C24×C1911yescharacteristic
1328C22×C4C24×C1911yescharacteristic
1329C22×C4C24×C1911yescharacteristic
1330C22×C4C24×C1911yescharacteristic
1331C22×C4C24×C1911yescharacteristic
1332C22×C4C24×C1911yescharacteristic
1333C22×C4C24×C1911yescharacteristic
1334C22×C4C24×C1911yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C42—22no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×#41×C1912yes—
1472C23C2×#41×C1912yes—
1473C23C19×H(5,𝔽2)12yes—
1474C23C19×H(5,𝔽2)12yes—
1475C23C25×C1911yescharacteristic
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
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—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4C2×#41×C1912yes—
1576C2×C4C19×H(5,𝔽2)12yes—
1577C2×C4C19×H(5,𝔽2)12yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C1911yescharacteristic
1629C22C2×C19×H(5,𝔽2)11yescharacteristic
1630C22C2×C19×H(5,𝔽2)11yescharacteristic
1631C22C2×C19×H(5,𝔽2)11yescharacteristic
1632C22C2×C19×H(5,𝔽2)11yescharacteristic
1633C22C19×#58511yescharacteristic
1634C22C19×#58511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C19×#345911yescharacteristic
1667C2C19×#351311yescharacteristic
1668C2C19×#351911yescharacteristic
1669C2C19×#353211yescharacteristic
1670C2C19×#353411yescharacteristic
1671C2C19×#353911yescharacteristic
1672C2C19×#354211yescharacteristic
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×#2797C2semidirect
4. C19×#2782C2semidirect
5. C19×#2780C2semidirect
6. C19×#2750C2semidirect
7. C19×#2744C2semidirect
8. C19×#2708C2semidirect
9. C19×#2697C2semidirect
10. C19×#2693C2semidirect
11. C19×#2693C2semidirect
12. C19×#2688C2semidirect
13. C19×#2688C2semidirect
14. C19×#2682C2semidirect
15. C19×#2678C2semidirect
16. C19×#2673C2semidirect
17. C19×#2669C2semidirect
18. C19×#2668C2semidirect
19. C19×#2649C2semidirect
20. C19×#2648C2semidirect
21. C19×#2530C2semidirect
22. C19×#2526C2semidirect
23. C19×#2464C2semidirect
24. C19×#2457C2semidirect
25. C19×#2456C2semidirect
26. C19×#2456C2semidirect
27. C19×#2444C2semidirect
28. C19×#2425C2semidirect
29. C19×#2328C2semidirect
30. C19×#2325C2semidirect
31. C4×C19×#120C2semidirect
38. C2×C19×#123C22semidirect
39. C2×C19×#123C22semidirect
55. C2×C4×D4×C19C22semidirect
56. C2×C4×D4×C19C22semidirect
57. C19×#400C22semidirect
58. C19×#400C22semidirect
59. C19×#400C22semidirect
60. C19×#400C22semidirect
61. C19×#400C22semidirect
62. C19×#400C22semidirect
63. C19×#400C22semidirect
64. C19×#400C22semidirect
66. C19×#398C22semidirect
67. C19×#398C22semidirect
73. C19×#397C22semidirect
74. C19×#397C22semidirect
75. C19×#397C22semidirect
76. C19×#397C22semidirect
77. C19×#397C22semidirect
81. C19×#396C22semidirect
82. C19×#396C22semidirect
83. C19×#396C22semidirect
84. C19×#396C22semidirect
93. C19×#394C22semidirect
94. C19×#394C22semidirect
102. C19×#392C22semidirect
103. C19×#392C22semidirect
104. C19×#392C22semidirect
108. C19×#390C22semidirect
109. C19×#390C22semidirect
110. C19×#389C22semidirect
111. C19×#389C22semidirect
117. C19×#388C22semidirect
118. C19×#388C22semidirect
119. C19×#388C22semidirect
120. C19×#388C22semidirect
121. C19×#388C22semidirect
122. C19×#388C22semidirect
123. C19×#388C22semidirect
124. C19×#387C22semidirect
125. C19×#387C22semidirect
126. C19×#387C22semidirect
127. C19×#387C22semidirect
128. C19×#387C22semidirect
129. C19×#387C22semidirect
130. C19×#387C22semidirect
152. C19×#386C22semidirect
153. C19×#386C22semidirect
154. C19×#386C22semidirect
155. C19×#386C22semidirect
156. C19×#386C22semidirect
157. C19×#386C22semidirect
158. C19×#386C22semidirect
166. C19×#385C22semidirect
167. C19×#385C22semidirect
168. C19×#385C22semidirect
169. C19×#385C22semidirect
170. C19×#385C22semidirect
171. C19×#382C22semidirect
174. C19×#381C22semidirect
178. C19×#380C22semidirect
179. C19×#380C22semidirect
185. C19×#376C22semidirect
186. C2×C19×#95C22semidirect
582. #36856C19direct (N × H)
742. #2849C2×C19semidirect
743. #2847C2×C19semidirect
744. #2797C2×C19semidirect
745. #2782C2×C19semidirect
746. #2780C2×C19semidirect
747. #2750C2×C19semidirect
748. #2744C2×C19semidirect
749. #2708C2×C19semidirect
750. #2697C2×C19semidirect
751. #2693C2×C19semidirect
752. #2693C2×C19semidirect
753. #2688C2×C19semidirect
754. #2688C2×C19semidirect
755. #2682C2×C19semidirect
756. #2678C2×C19semidirect
757. #2673C2×C19semidirect
758. #2669C2×C19semidirect
759. #2668C2×C19semidirect
760. #2649C2×C19semidirect
761. #2648C2×C19semidirect
762. #2530C2×C19semidirect
763. #2526C2×C19semidirect
764. #2464C2×C19semidirect
765. #2457C2×C19semidirect
766. #2456C2×C19semidirect
767. #2456C2×C19semidirect
768. #2444C2×C19semidirect
769. #2425C2×C19semidirect
770. #2328C2×C19semidirect
771. #2325C2×C19semidirect
772. C4×#120C2×C19semidirect
860. C2×#123C22×C19semidirect
861. C2×#123C22×C19semidirect
877. C2×C4×D4C22×C19semidirect
878. C2×C4×D4C22×C19semidirect
879. #400C22×C19semidirect
880. #400C22×C19semidirect
881. #400C22×C19semidirect
882. #400C22×C19semidirect
883. #400C22×C19semidirect
884. #400C22×C19semidirect
885. #400C22×C19semidirect
886. #400C22×C19semidirect
888. #398C22×C19semidirect
889. #398C22×C19semidirect
895. #397C22×C19semidirect
896. #397C22×C19semidirect
897. #397C22×C19semidirect
898. #397C22×C19semidirect
899. #397C22×C19semidirect
903. #396C22×C19semidirect
904. #396C22×C19semidirect
905. #396C22×C19semidirect
906. #396C22×C19semidirect
915. #394C22×C19semidirect
916. #394C22×C19semidirect
924. #392C22×C19semidirect
925. #392C22×C19semidirect
926. #392C22×C19semidirect
930. #390C22×C19semidirect
931. #390C22×C19semidirect
932. #389C22×C19semidirect
933. #389C22×C19semidirect
939. #388C22×C19semidirect
940. #388C22×C19semidirect
941. #388C22×C19semidirect
942. #388C22×C19semidirect
943. #388C22×C19semidirect
944. #388C22×C19semidirect
945. #388C22×C19semidirect
946. #387C22×C19semidirect
947. #387C22×C19semidirect
948. #387C22×C19semidirect
949. #387C22×C19semidirect
950. #387C22×C19semidirect
951. #387C22×C19semidirect
952. #387C22×C19semidirect
974. #386C22×C19semidirect
975. #386C22×C19semidirect
976. #386C22×C19semidirect
977. #386C22×C19semidirect
978. #386C22×C19semidirect
979. #386C22×C19semidirect
980. #386C22×C19semidirect
988. #385C22×C19semidirect
989. #385C22×C19semidirect
990. #385C22×C19semidirect
991. #385C22×C19semidirect
992. #385C22×C19semidirect
993. #382C22×C19semidirect
996. #381C22×C19semidirect
1000. #380C22×C19semidirect
1001. #380C22×C19semidirect
1007. #376C22×C19semidirect
1008. C2×#95C22×C19semidirect
1205. C19#36856direct (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×#27972
C19×#27822
C19×#27802
C19×#27502
C19×#27442
C19×#27082
C19×#26972
C19×#26932
C19×#26882
C19×#26822
C19×#26782
C19×#26732
C19×#26692
C19×#26682
C19×#26492
C19×#26482
C19×#25302
C19×#25262
C19×#24642
C19×#24572
C19×#24562
C19×#24442
C19×#24252
C19×#23282
C19×#23252
C4×C19×#1202
#3685619