Finite Group Databasebeta

← C19×#36796 #18042755

Subgroups — C19×#36796 #18042755

Order 4864.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2852C211yesmaximal, characteristic, complemented
2C19×#2851C211yesmaximal, characteristic, complemented
3C19×#2808C211yesmaximal, characteristic, complemented
4C19×#2798C211yesmaximal, characteristic, complemented
5C19×#2796C211yesmaximal, characteristic, complemented
6C19×#2795C211yesmaximal, characteristic, complemented
7C19×#2793C211yesmaximal, characteristic, complemented
8C19×#2785C211yesmaximal, characteristic, complemented
9C19×#2783C211yesmaximal, characteristic, complemented
10C19×#2783C211yesmaximal, characteristic, complemented
11C19×#2781C211yesmaximal, characteristic, complemented
12C19×#2777C211yesmaximal, characteristic, complemented
13C19×#2775C211yesmaximal, characteristic, complemented
14C19×#2773C211yesmaximal, characteristic, complemented
15C19×#2727C211yesmaximal, characteristic, complemented
16C19×#2721C211yesmaximal, characteristic, complemented
17C19×#2718C211yesmaximal, characteristic, complemented
18C19×#2694C211yesmaximal, characteristic, complemented
19C19×#2626C211yesmaximal, characteristic, complemented
20C19×#2622C211yesmaximal, characteristic
21C19×#2505C211yesmaximal, characteristic, complemented
22C19×#2498C211yesmaximal, characteristic, complemented
23C19×#2482C211yesmaximal, characteristic, complemented
24C19×#2480C211yesmaximal, characteristic, complemented
25C19×#2450C211yesmaximal, characteristic, complemented
26C19×#2438C211yesmaximal, characteristic, complemented
27C19×#2418C211yesmaximal, characteristic
28C19×#2411C211yesmaximal, characteristic
29C19×#2322C211yesmaximal, characteristic, complemented
30C19×#2317C211yesmaximal, characteristic, complemented
31C2×C19×#388C211yesmaximal, characteristic, complemented
32C2×C19×#126C2211yescharacteristic
33C2×C19×#126C2211yescharacteristic, complemented
34C2×C19×#125C2211yescharacteristic, complemented
35C2×C19×#123C2211yescharacteristic
36C2×C19×#123C2211yescharacteristic
37C2×C19×C22⋊Q8C2211yescharacteristic
38C2×C19×#120C2211yescharacteristic
39C2×C4×D4×C19C2211yescharacteristic
40C2×C19×#117C2211yescharacteristic
41C2×C19×#117C2211yescharacteristic
42C22×C4⋊C4×C19C2211yescharacteristic
43C22×C22⋊C4×C19C2211yescharacteristic
44C22×C22⋊C4×C19C2211yescharacteristic
45C22×C22⋊C4×C19C2211yescharacteristic
46C22×C42×C19C2211yescharacteristic
47C19×#400C2211yescharacteristic, complemented
48C19×#400C2211yescharacteristic, complemented
49C19×#400C2211yescharacteristic, complemented
50C19×#400C2211yescharacteristic, complemented
51C19×#400C2211yescharacteristic, complemented
52C19×#400C2211yescharacteristic, complemented
53C19×#399C2211yescharacteristic
54C19×#399C2211yescharacteristic
55C19×#399C2211yescharacteristic
56C19×#399C2211yescharacteristic
57C19×#399C2211yescharacteristic
58C19×#399C2211yescharacteristic, complemented
59C19×#398C2211yescharacteristic, complemented
60C19×#398C2211yescharacteristic, complemented
61C19×#398C2211yescharacteristic, complemented
62C19×#398C2211yescharacteristic, complemented
63C19×#398C2211yescharacteristic, complemented
64C19×#397C2211yescharacteristic
65C19×#397C2211yescharacteristic
66C19×#397C2211yescharacteristic
67C19×#397C2211yescharacteristic
68C19×#397C2211yescharacteristic
69C19×#397C2211yescharacteristic
70C19×#397C2211yescharacteristic
71C19×#397C2211yescharacteristic
72C19×#397C2211yescharacteristic
73C19×#397C2211yescharacteristic
74C19×#397C2211yescharacteristic, complemented
75C19×#396C2211yescharacteristic
76C19×#396C2211yescharacteristic
77C19×#396C2211yescharacteristic
78C19×#396C2211yescharacteristic
79C19×#396C2211yescharacteristic
80C19×#396C2211yescharacteristic
81C19×#396C2211yescharacteristic
82C19×#396C2211yescharacteristic, complemented
83C19×#395C2211yescharacteristic, complemented
84C19×#394C2211yescharacteristic
85C19×#394C2211yescharacteristic
86C19×#394C2211yescharacteristic
87C19×#394C2211yescharacteristic
88C19×#394C2211yescharacteristic
89C19×#394C2211yescharacteristic
90C19×#394C2211yescharacteristic
91C19×#394C2211yescharacteristic
92C19×#393C2211yescharacteristic
93C19×#393C2211yescharacteristic
94C19×#393C2211yescharacteristic, complemented
95C19×#391C2211yescharacteristic, complemented
96C19×#391C2211yescharacteristic, complemented
97C19×#390C2211yescharacteristic
98C19×#390C2211yescharacteristic
99C19×#389C2211yescharacteristic, complemented
100C19×#389C2211yescharacteristic, complemented
101C19×#389C2211yescharacteristic, complemented
102C19×#389C2211yescharacteristic, complemented
103C19×#389C2211yescharacteristic, complemented
104C19×#389C2211yescharacteristic, complemented
105C19×#389C2211yescharacteristic, complemented
106C19×#389C2211yescharacteristic, complemented
107C19×#389C2211yescharacteristic, complemented
108C19×#389C2211yescharacteristic, complemented
109C19×#388C2211yescharacteristic
110C19×#388C2211yescharacteristic
111C19×#388C2211yescharacteristic
112C19×#388C2211yescharacteristic
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, complemented
129C19×#388C2211yescharacteristic, complemented
130C19×#388C2211yescharacteristic, complemented
131C19×#388C2211yescharacteristic, complemented
132C19×#388C2211yescharacteristic, complemented
133C19×#388C2211yescharacteristic, complemented
134C19×#388C2211yescharacteristic, complemented
135C19×#387C2211yescharacteristic, complemented
136C19×#387C2211yescharacteristic, complemented
137C19×#387C2211yescharacteristic, complemented
138C19×#387C2211yescharacteristic, complemented
139C19×#387C2211yescharacteristic, complemented
140C19×#387C2211yescharacteristic, complemented
141C19×#387C2211yescharacteristic, complemented
142C19×#387C2211yescharacteristic, complemented
143C19×#387C2211yescharacteristic, complemented
144C19×#387C2211yescharacteristic, complemented
145C19×#387C2211yescharacteristic, complemented
146C19×#387C2211yescharacteristic, complemented
147C19×#387C2211yescharacteristic, complemented
148C19×#387C2211yescharacteristic, complemented
149C19×#387C2211yescharacteristic, complemented
150C19×#387C2211yescharacteristic, complemented
151C19×#386C2211yescharacteristic
152C19×#386C2211yescharacteristic
153C19×#386C2211yescharacteristic
154C19×#386C2211yescharacteristic
155C19×#386C2211yescharacteristic
156C19×#385C2211yescharacteristic
157C19×#385C2211yescharacteristic
158C19×#385C2211yescharacteristic
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic
165C19×#385C2211yescharacteristic
166C19×#385C2211yescharacteristic, complemented
167C19×#385C2211yescharacteristic, complemented
168C19×#385C2211yescharacteristic, complemented
169C19×#384C2211yescharacteristic, complemented
170C19×#384C2211yescharacteristic, complemented
171C19×#383C2211yescharacteristic, complemented
172C19×#382C2211yescharacteristic, complemented
173C19×#382C2211yescharacteristic, complemented
174C19×#382C2211yescharacteristic, complemented
175C19×#382C2211yescharacteristic, complemented
176C19×#381C2211yescharacteristic
177C19×#380C2211yescharacteristic
178C19×#380C2211yescharacteristic
179C19×#380C2211yescharacteristic
180C19×#380C2211yescharacteristic, complemented
181C19×#379C2211yescharacteristic
182C19×#379C2211yescharacteristic
183C19×#379C2211yescharacteristic
184C4×C22⋊C4×C19C2211yescharacteristic
185C2×C19×#95C2211yescharacteristic
186C2×C19×#95C2211yescharacteristic
187C25×C19C2311yescharacteristic
188C22×Q8×C19C2311yescharacteristic
189C22×D4×C19C2311yescharacteristic
190C22×D4×C19C2311yescharacteristic
191C22×D4×C19C2311yescharacteristic
192C23×C4×C19C2311yescharacteristic
193C23×C4×C19C2311yescharacteristic
194C23×C4×C19C2311yescharacteristic
195C23×C4×C19C2311yescharacteristic
196C23×C4×C19C2311yescharacteristic
197C23×C4×C19C2311yescharacteristic
198C23×C4×C19C2311yescharacteristic
199C19×#126—42no—
200C19×#126—42no—
201C19×#125—42no—
202C19×#123—24no—
203C19×#123—42no—
204C19×C22⋊Q8—42no—
205C19×#120—42no—
206C4×D4×C19—42no—
207C19×#117—24no—
208C19×#117—42no—
209C2×C4⋊C4×C19—42no—
210C2×C4⋊C4×C19C2311yescharacteristic
211C2×C4⋊C4×C19C2311yescharacteristic
212C2×C4⋊C4×C19C2311yescharacteristic
213C2×C4⋊C4×C19C2311yescharacteristic
214C2×C4⋊C4×C19C2311yescharacteristic
215C2×C4⋊C4×C19C2311yescharacteristic
216C2×C4⋊C4×C19C2311yescharacteristic
217C2×C4⋊C4×C19C2311yescharacteristic
218C2×C4⋊C4×C19C2311yescharacteristic
219C2×C4⋊C4×C19C2311yescharacteristic
220C2×C4⋊C4×C19C2311yescharacteristic
221C2×C4⋊C4×C19C2311yescharacteristic
222C2×C4⋊C4×C19C2311yescharacteristic
223C2×C4⋊C4×C19C2311yescharacteristic
224C2×C4⋊C4×C19C2311yescharacteristic
225C2×C4⋊C4×C19C2311yescharacteristic
226C2×C4⋊C4×C19C2311yescharacteristic
227C2×C4⋊C4×C19C2311yescharacteristic
228C2×C4⋊C4×C19C2311yescharacteristic
229C2×C4⋊C4×C19C2311yescharacteristic
230C2×C4⋊C4×C19C2311yescharacteristic
231C2×C4⋊C4×C19C2311yescharacteristic
232C2×C4⋊C4×C19C2311yescharacteristic
233C2×C4⋊C4×C19C2311yescharacteristic
234C2×C4⋊C4×C19C2311yescharacteristic
235C2×C4⋊C4×C19C2311yescharacteristic
236C2×C4⋊C4×C19C2311yescharacteristic
237C2×C4⋊C4×C19C2311yescharacteristic
238C2×C4⋊C4×C19C2311yescharacteristic
239C2×C4⋊C4×C19C2311yescharacteristic
240C2×C4⋊C4×C19C2311yescharacteristic
241C2×C4⋊C4×C19C2311yescharacteristic
242C2×C4⋊C4×C19C2311yescharacteristic
243C2×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×C22⋊C4×C19—24no—
251C2×C22⋊C4×C19—42no—
252C2×C22⋊C4×C19—42no—
253C2×C22⋊C4×C19C2311yescharacteristic
254C2×C22⋊C4×C19C2311yescharacteristic
255C2×C22⋊C4×C19C2311yescharacteristic
256C2×C22⋊C4×C19C2311yescharacteristic
257C2×C22⋊C4×C19C2311yescharacteristic
258C2×C22⋊C4×C19C2311yescharacteristic
259C2×C22⋊C4×C19C2311yescharacteristic
260C2×C22⋊C4×C19C2311yescharacteristic
261C2×C22⋊C4×C19C2311yescharacteristic
262C2×C22⋊C4×C19C2311yescharacteristic
263C2×C22⋊C4×C19C2311yescharacteristic
264C2×C22⋊C4×C19C2311yescharacteristic
265C2×C22⋊C4×C19C2311yescharacteristic
266C2×C22⋊C4×C19C2311yescharacteristic
267C2×C22⋊C4×C19C2311yescharacteristic
268C2×C22⋊C4×C19C2311yescharacteristic
269C2×C22⋊C4×C19C2311yescharacteristic
270C2×C22⋊C4×C19C2311yescharacteristic
271C2×C22⋊C4×C19C2311yescharacteristic
272C2×C22⋊C4×C19C2311yescharacteristic
273C2×C22⋊C4×C19C2311yescharacteristic
274C2×C22⋊C4×C19C2311yescharacteristic
275C2×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×C42×C19—42no—
298C2×C42×C19C2311yescharacteristic
299C2×C42×C19C2311yescharacteristic
300C2×C42×C19C2311yescharacteristic
301C2×C42×C19C2311yescharacteristic
302C2×C42×C19C2311yescharacteristic
303C2×C42×C19C2311yescharacteristic
304C2×C42×C19C2311yescharacteristic
305C2×C42×C19C2311yescharacteristic
306C2×C42×C19C2311yescharacteristic
307C2×C42×C19C2311yescharacteristic
308C2×C42×C19C2311yescharacteristic
309C19×#95C2311yescharacteristic
310C19×#95C2311yescharacteristic
311C19×#95C2311yescharacteristic
312C19×#95C2311yescharacteristic
313C19×#95C2311yescharacteristic
314C19×#95C2311yescharacteristic
315C19×#95C2311yescharacteristic
316C19×#95C2311yescharacteristic
317C19×#95C2311yescharacteristic
318C19×#95C2311yescharacteristic
319C19×#95C2311yescharacteristic
320C19×#95C2311yescharacteristic
321C19×#95C2311yescharacteristic
322C19×#95C2311yescharacteristic
323C19×#95C2311yescharacteristic
324C19×#95C2311yescharacteristic
325C19×#95C2311yescharacteristic
326C19×#95C2311yescharacteristic
327C19×#95C2311yescharacteristic
328C19×#95C2311yescharacteristic
329C19×#95C2311yescharacteristic
330C19×#95C2311yescharacteristic
331C19×#95C2311yescharacteristic
332C19×#95C2311yescharacteristic
333C19×#95C2311yescharacteristic
334C19×#95C2311yescharacteristic
335C19×#95C2311yescharacteristic
336C19×#95C2311yescharacteristic
337C19×#95C2311yescharacteristic
338C19×#95C2311yescharacteristic
339C19×#95C2311yescharacteristic
340C19×#95C2311yescharacteristic
341C19×#95C2311yescharacteristic
342C19×#95C2311yescharacteristic
343C19×#95C2311yescharacteristic
344C19×#95C2311yescharacteristic
345C19×#95C2311yescharacteristic
346C19×#95C2311yescharacteristic
347C19×#95C2311yescharacteristic
348C19×#95C2311yescharacteristic
349C19×#95C2311yescharacteristic
350C19×#95C2311yescharacteristic
351C19×#95C2311yescharacteristic
352C19×#95C2311yescharacteristic
353C19×#95C2311yescharacteristic
354C19×#95C2311yescharacteristic
355C19×#95C2311yescharacteristic
356C19×#95C2311yescharacteristic
357C24×C19—22no—
358C24×C19—22no—
359C24×C19—22no—
360C24×C19—41no—
361C24×C19—41no—
362C24×C19—41no—
363C24×C19—41no—
364C24×C19C2411yescharacteristic
365C24×C19C2411yescharacteristic
366C24×C19C2411yescharacteristic
367C24×C19C2411yescharacteristic
368C2×Q8×C19—41no—
369C2×Q8×C19—41no—
370C2×Q8×C19—41no—
371C2×D4×C19—22no—
372C2×D4×C19—22no—
373C2×D4×C19—22no—
374C2×D4×C19—41no—
375C2×D4×C19—41no—
376C2×D4×C19—41no—
377C2×D4×C19—41no—
378C2×D4×C19—41no—
379C2×D4×C19—41no—
380C22×C4×C19—22no—
381C22×C4×C19—22no—
382C22×C4×C19—22no—
383C22×C4×C19—22no—
384C22×C4×C19—22no—
385C22×C4×C19—22no—
386C22×C4×C19—22no—
387C22×C4×C19—22no—
388C22×C4×C19—41no—
389C22×C4×C19—41no—
390C22×C4×C19—41no—
391C22×C4×C19—41no—
392C22×C4×C19—41no—
393C22×C4×C19—41no—
394C22×C4×C19—41no—
395C22×C4×C19—41no—
396C22×C4×C19—41no—
397C22×C4×C19—41no—
398C22×C4×C19—41no—
399C22×C4×C19—41no—
400C22×C4×C19#4114yes—
401C22×C4×C19C2411yescharacteristic
402C22×C4×C19C2411yescharacteristic
403C22×C4×C19C2411yescharacteristic
404C22×C4×C19C2411yescharacteristic
405C22×C4×C19C2411yescharacteristic
406C22×C4×C19C2411yescharacteristic
407C22×C4×C19C2411yescharacteristic
408C22×C4×C19C2411yescharacteristic
409C22×C4×C19C2411yescharacteristic
410C22×C4×C19C2411yescharacteristic
411C22×C4×C19C2411yescharacteristic
412C22×C4×C19C2411yescharacteristic
413C22×C4×C19C2411yescharacteristic
414C22×C4×C19C2411yescharacteristic
415C22×C4×C19C2411yescharacteristic
416C22×C4×C19C2411yescharacteristic
417C22×C4×C19C2411yescharacteristic
418C22×C4×C19C2411yescharacteristic
419C22×C4×C19C2411yescharacteristic
420C22×C4×C19C2411yescharacteristic
421C22×C4×C19C2411yescharacteristic
422C22×C4×C19C2411yescharacteristic
423C22×C4×C19C2411yescharacteristic
424C22×C4×C19C2411yescharacteristic
425C22×C4×C19C2411yescharacteristic
426C22×C4×C19C2411yescharacteristic
427C22×C4×C19C2411yescharacteristic
428C4⋊C4×C19—22no—
429C4⋊C4×C19—22no—
430C4⋊C4×C19—22no—
431C4⋊C4×C19—22no—
432C4⋊C4×C19—22no—
433C4⋊C4×C19—22no—
434C4⋊C4×C19—22no—
435C4⋊C4×C19—41no—
436C4⋊C4×C19—41no—
437C4⋊C4×C19—41no—
438C4⋊C4×C19—41no—
439C4⋊C4×C19—41no—
440C4⋊C4×C19—41no—
441C4⋊C4×C19—41no—
442C4⋊C4×C19—41no—
443C4⋊C4×C19—41no—
444C4⋊C4×C19—41no—
445C4⋊C4×C19—41no—
446C4⋊C4×C19—41no—
447C4⋊C4×C19—41no—
448C4⋊C4×C19—41no—
449C4⋊C4×C19—41no—
450C4⋊C4×C19—41no—
451C4⋊C4×C19—41no—
452C4⋊C4×C19—41no—
453C4⋊C4×C19—41no—
454C4⋊C4×C19—41no—
455C4⋊C4×C19—41no—
456C4⋊C4×C19—41no—
457C4⋊C4×C19—41no—
458C4⋊C4×C19—41no—
459C4⋊C4×C19—41no—
460C4⋊C4×C19—41no—
461C4⋊C4×C19—41no—
462C4⋊C4×C19—41no—
463C4⋊C4×C19—41no—
464C4⋊C4×C19—41no—
465C4⋊C4×C19—41no—
466C4⋊C4×C19—41no—
467C4⋊C4×C19—41no—
468C22⋊C4×C19—22no—
469C22⋊C4×C19—22no—
470C22⋊C4×C19—22no—
471C22⋊C4×C19—22no—
472C22⋊C4×C19—22no—
473C22⋊C4×C19—22no—
474C22⋊C4×C19—22no—
475C22⋊C4×C19—22no—
476C22⋊C4×C19—22no—
477C22⋊C4×C19—22no—
478C22⋊C4×C19—22no—
479C22⋊C4×C19—22no—
480C22⋊C4×C19—22no—
481C22⋊C4×C19—22no—
482C22⋊C4×C19—22no—
483C22⋊C4×C19—22no—
484C22⋊C4×C19—41no—
485C22⋊C4×C19—41no—
486C22⋊C4×C19—41no—
487C22⋊C4×C19—41no—
488C22⋊C4×C19—41no—
489C22⋊C4×C19—41no—
490C22⋊C4×C19—41no—
491C22⋊C4×C19—41no—
492C22⋊C4×C19—41no—
493C22⋊C4×C19—41no—
494C22⋊C4×C19—41no—
495C22⋊C4×C19—41no—
496C22⋊C4×C19—41no—
497C22⋊C4×C19—41no—
498C22⋊C4×C19—41no—
499C22⋊C4×C19—41no—
500C22⋊C4×C19—41no—
501C22⋊C4×C19—41no—
502C22⋊C4×C19—41no—
503C22⋊C4×C19—41no—
504C22⋊C4×C19—41no—
505C22⋊C4×C19—41no—
506C22⋊C4×C19—41no—
507C22⋊C4×C19—41no—
508C22⋊C4×C19—41no—
509C22⋊C4×C19—41no—
510C22⋊C4×C19—41no—
511C22⋊C4×C19—41no—
512C42×C19—22no—
513C42×C19—22no—
514C42×C19—22no—
515C42×C19—22no—
516C42×C19—41no—
517C42×C19—41no—
518C42×C19—41no—
519C42×C19—41no—
520C42×C19—41no—
521C42×C19—41no—
522C42×C19—41no—
523#36796C1911yesmaximal, characteristic, direct product factor, Sylow
524C23×C19—21no—
525C23×C19—21no—
526C23×C19—21no—
527C23×C19—21no—
528C23×C19—21no—
529C23×C19—21no—
530C23×C19—21no—
531C23×C19—21no—
532C23×C19—21no—
533C23×C19—21no—
534C23×C19—21no—
535C23×C19—21no—
536C23×C19—21no—
537C23×C19—21no—
538C23×C19—21no—
539C23×C19—21no—
540C23×C19—21no—
541C23×C19—21no—
542C23×C19—21no—
543C23×C19—21no—
544C23×C19—21no—
545C23×C19—21no—
546C23×C19—21no—
547C23×C19—21no—
548C23×C19—21no—
549C23×C19—44no—
550C23×C19—44no—
551C23×C19—44no—
552C23×C19—82no—
553C23×C19—82no—
554C23×C19—82no—
555C23×C19—82no—
556C23×C19C2×#4112yes—
557C23×C19H(5,𝔽2)12yes—
558C23×C192−1+412yes—
559C23×C19C2511yescharacteristic
560Q8×C19—82no—
561D4×C19—44no—
562D4×C19—82no—
563D4×C19—82no—
564C2×C4×C19—28no—
565C2×C4×C19—21no—
566C2×C4×C19—21no—
567C2×C4×C19—21no—
568C2×C4×C19—21no—
569C2×C4×C19—21no—
570C2×C4×C19—21no—
571C2×C4×C19—21no—
572C2×C4×C19—21no—
573C2×C4×C19—21no—
574C2×C4×C19—21no—
575C2×C4×C19—21no—
576C2×C4×C19—21no—
577C2×C4×C19—21no—
578C2×C4×C19—21no—
579C2×C4×C19—21no—
580C2×C4×C19—21no—
581C2×C4×C19—21no—
582C2×C4×C19—21no—
583C2×C4×C19—21no—
584C2×C4×C19—21no—
585C2×C4×C19—21no—
586C2×C4×C19—21no—
587C2×C4×C19—21no—
588C2×C4×C19—21no—
589C2×C4×C19—21no—
590C2×C4×C19—21no—
591C2×C4×C19—21no—
592C2×C4×C19—21no—
593C2×C4×C19—21no—
594C2×C4×C19—21no—
595C2×C4×C19—21no—
596C2×C4×C19—21no—
597C2×C4×C19—21no—
598C2×C4×C19—21no—
599C2×C4×C19—21no—
600C2×C4×C19—21no—
601C2×C4×C19—21no—
602C2×C4×C19—21no—
603C2×C4×C19—21no—
604C2×C4×C19—21no—
605C2×C4×C19—21no—
606C2×C4×C19—21no—
607C2×C4×C19—21no—
608C2×C4×C19—21no—
609C2×C4×C19—21no—
610C2×C4×C19—21no—
611C2×C4×C19—21no—
612C2×C4×C19—21no—
613C2×C4×C19—21no—
614C2×C4×C19—21no—
615C2×C4×C19—21no—
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—44no—
644C2×C4×C19—44no—
645C2×C4×C19—44no—
646C2×C4×C19—82no—
647C2×C4×C19—82no—
648C2×C4×C19—82no—
649C2×C4×C19C2×#4112yes—
650C2×C4×C19C2×#4112yes—
651C2×C4×C19H(5,𝔽2)12yes—
652#2852C2×C1911yescharacteristic, complemented
653#2851C2×C1911yescharacteristic, complemented
654#2808C2×C1911yescharacteristic, complemented
655#2798C2×C1911yescharacteristic, complemented
656#2796C2×C1911yescharacteristic, complemented
657#2795C2×C1911yescharacteristic, complemented
658#2793C2×C1911yescharacteristic, complemented
659#2785C2×C1911yescharacteristic, complemented
660#2783C2×C1911yescharacteristic, complemented
661#2783C2×C1911yescharacteristic, complemented
662#2781C2×C1911yescharacteristic, complemented
663#2777C2×C1911yescharacteristic, complemented
664#2775C2×C1911yescharacteristic, complemented
665#2773C2×C1911yescharacteristic, complemented
666#2727C2×C1911yescharacteristic, complemented
667#2721C2×C1911yescharacteristic, complemented
668#2718C2×C1911yescharacteristic, complemented
669#2694C2×C1911yescharacteristic, complemented
670#2626C2×C1911yescharacteristic, complemented
671#2622C2×C1911yescharacteristic
672#2505C2×C1911yescharacteristic, complemented
673#2498C2×C1911yescharacteristic, complemented
674#2482C2×C1911yescharacteristic, complemented
675#2480C2×C1911yescharacteristic, complemented
676#2450C2×C1911yescharacteristic, complemented
677#2438C2×C1911yescharacteristic, complemented
678#2418C2×C1911yescharacteristic
679#2411C2×C1911yescharacteristic
680#2322C2×C1911yescharacteristic, complemented
681#2317C2×C1911yescharacteristic, complemented
682C2×#388C2×C1911yescharacteristic, complemented
683C22×C19—22no—
684C22×C19—22no—
685C22×C19—22no—
686C22×C19—22no—
687C22×C19—22no—
688C22×C19—22no—
689C22×C19—41no—
690C22×C19—41no—
691C22×C19—41no—
692C22×C19—41no—
693C22×C19—41no—
694C22×C19—41no—
695C22×C19—41no—
696C22×C19—41no—
697C22×C19—41no—
698C22×C19—41no—
699C22×C19—41no—
700C22×C19—41no—
701C22×C19—41no—
702C22×C19—41no—
703C22×C19—41no—
704C22×C19—41no—
705C22×C19—41no—
706C22×C19—41no—
707C22×C19—41no—
708C22×C19—41no—
709C22×C19—41no—
710C22×C19—88no—
711C22×C19#53914yes—
712C22×C19C22×#4111yescharacteristic
713C22×C19C2×H(5,𝔽2)11yescharacteristic
714C22×C19C2×H(5,𝔽2)11yescharacteristic
715C22×C19C2×2−1+411yescharacteristic
716C22×C19#58511yescharacteristic
717C22×C19#58511yescharacteristic
718C22×C19#58511yescharacteristic
719C4×C19—22no—
720C4×C19—22no—
721C4×C19—22no—
722C4×C19—41no—
723C4×C19—41no—
724C4×C19—41no—
725C4×C19—41no—
726C4×C19—41no—
727C4×C19—41no—
728C4×C19—41no—
729C4×C19—41no—
730C4×C19—41no—
731C4×C19—41no—
732C4×C19—41no—
733C4×C19—41no—
734C4×C19—41no—
735C4×C19—41no—
736C4×C19—41no—
737C4×C19—41no—
738C4×C19—41no—
739C4×C19—41no—
740C4×C19—41no—
741C4×C19—41no—
742C4×C19—41no—
743C4×C19—41no—
744C4×C19—41no—
745C4×C19—41no—
746C2×#126C22×C1911yescharacteristic
747C2×#126C22×C1911yescharacteristic, complemented
748C2×#125C22×C1911yescharacteristic, complemented
749C2×#123C22×C1911yescharacteristic
750C2×#123C22×C1911yescharacteristic
751C2×C22⋊Q8C22×C1911yescharacteristic
752C2×#120C22×C1911yescharacteristic
753C2×C4×D4C22×C1911yescharacteristic
754C2×#117C22×C1911yescharacteristic
755C2×#117C22×C1911yescharacteristic
756C22×C4⋊C4C22×C1911yescharacteristic
757C22×C22⋊C4C22×C1911yescharacteristic
758C22×C22⋊C4C22×C1911yescharacteristic
759C22×C22⋊C4C22×C1911yescharacteristic
760C22×C42C22×C1911yescharacteristic
761#400C22×C1911yescharacteristic, complemented
762#400C22×C1911yescharacteristic, complemented
763#400C22×C1911yescharacteristic, complemented
764#400C22×C1911yescharacteristic, complemented
765#400C22×C1911yescharacteristic, complemented
766#400C22×C1911yescharacteristic, complemented
767#399C22×C1911yescharacteristic
768#399C22×C1911yescharacteristic
769#399C22×C1911yescharacteristic
770#399C22×C1911yescharacteristic
771#399C22×C1911yescharacteristic
772#399C22×C1911yescharacteristic, complemented
773#398C22×C1911yescharacteristic, complemented
774#398C22×C1911yescharacteristic, complemented
775#398C22×C1911yescharacteristic, complemented
776#398C22×C1911yescharacteristic, complemented
777#398C22×C1911yescharacteristic, complemented
778#397C22×C1911yescharacteristic
779#397C22×C1911yescharacteristic
780#397C22×C1911yescharacteristic
781#397C22×C1911yescharacteristic
782#397C22×C1911yescharacteristic
783#397C22×C1911yescharacteristic
784#397C22×C1911yescharacteristic
785#397C22×C1911yescharacteristic
786#397C22×C1911yescharacteristic
787#397C22×C1911yescharacteristic
788#397C22×C1911yescharacteristic, complemented
789#396C22×C1911yescharacteristic
790#396C22×C1911yescharacteristic
791#396C22×C1911yescharacteristic
792#396C22×C1911yescharacteristic
793#396C22×C1911yescharacteristic
794#396C22×C1911yescharacteristic
795#396C22×C1911yescharacteristic
796#396C22×C1911yescharacteristic, complemented
797#395C22×C1911yescharacteristic, complemented
798#394C22×C1911yescharacteristic
799#394C22×C1911yescharacteristic
800#394C22×C1911yescharacteristic
801#394C22×C1911yescharacteristic
802#394C22×C1911yescharacteristic
803#394C22×C1911yescharacteristic
804#394C22×C1911yescharacteristic
805#394C22×C1911yescharacteristic
806#393C22×C1911yescharacteristic
807#393C22×C1911yescharacteristic
808#393C22×C1911yescharacteristic, complemented
809#391C22×C1911yescharacteristic, complemented
810#391C22×C1911yescharacteristic, complemented
811#390C22×C1911yescharacteristic
812#390C22×C1911yescharacteristic
813#389C22×C1911yescharacteristic, complemented
814#389C22×C1911yescharacteristic, complemented
815#389C22×C1911yescharacteristic, complemented
816#389C22×C1911yescharacteristic, complemented
817#389C22×C1911yescharacteristic, complemented
818#389C22×C1911yescharacteristic, complemented
819#389C22×C1911yescharacteristic, complemented
820#389C22×C1911yescharacteristic, complemented
821#389C22×C1911yescharacteristic, complemented
822#389C22×C1911yescharacteristic, complemented
823#388C22×C1911yescharacteristic
824#388C22×C1911yescharacteristic
825#388C22×C1911yescharacteristic
826#388C22×C1911yescharacteristic
827#388C22×C1911yescharacteristic
828#388C22×C1911yescharacteristic
829#388C22×C1911yescharacteristic
830#388C22×C1911yescharacteristic
831#388C22×C1911yescharacteristic
832#388C22×C1911yescharacteristic
833#388C22×C1911yescharacteristic
834#388C22×C1911yescharacteristic
835#388C22×C1911yescharacteristic
836#388C22×C1911yescharacteristic
837#388C22×C1911yescharacteristic
838#388C22×C1911yescharacteristic
839#388C22×C1911yescharacteristic
840#388C22×C1911yescharacteristic
841#388C22×C1911yescharacteristic
842#388C22×C1911yescharacteristic, complemented
843#388C22×C1911yescharacteristic, complemented
844#388C22×C1911yescharacteristic, complemented
845#388C22×C1911yescharacteristic, complemented
846#388C22×C1911yescharacteristic, complemented
847#388C22×C1911yescharacteristic, complemented
848#388C22×C1911yescharacteristic, complemented
849#387C22×C1911yescharacteristic, complemented
850#387C22×C1911yescharacteristic, complemented
851#387C22×C1911yescharacteristic, complemented
852#387C22×C1911yescharacteristic, complemented
853#387C22×C1911yescharacteristic, complemented
854#387C22×C1911yescharacteristic, complemented
855#387C22×C1911yescharacteristic, complemented
856#387C22×C1911yescharacteristic, complemented
857#387C22×C1911yescharacteristic, complemented
858#387C22×C1911yescharacteristic, complemented
859#387C22×C1911yescharacteristic, complemented
860#387C22×C1911yescharacteristic, complemented
861#387C22×C1911yescharacteristic, complemented
862#387C22×C1911yescharacteristic, complemented
863#387C22×C1911yescharacteristic, complemented
864#387C22×C1911yescharacteristic, complemented
865#386C22×C1911yescharacteristic
866#386C22×C1911yescharacteristic
867#386C22×C1911yescharacteristic
868#386C22×C1911yescharacteristic
869#386C22×C1911yescharacteristic
870#385C22×C1911yescharacteristic
871#385C22×C1911yescharacteristic
872#385C22×C1911yescharacteristic
873#385C22×C1911yescharacteristic
874#385C22×C1911yescharacteristic
875#385C22×C1911yescharacteristic
876#385C22×C1911yescharacteristic
877#385C22×C1911yescharacteristic
878#385C22×C1911yescharacteristic
879#385C22×C1911yescharacteristic
880#385C22×C1911yescharacteristic, complemented
881#385C22×C1911yescharacteristic, complemented
882#385C22×C1911yescharacteristic, complemented
883#384C22×C1911yescharacteristic, complemented
884#384C22×C1911yescharacteristic, complemented
885#383C22×C1911yescharacteristic, complemented
886#382C22×C1911yescharacteristic, complemented
887#382C22×C1911yescharacteristic, complemented
888#382C22×C1911yescharacteristic, complemented
889#382C22×C1911yescharacteristic, complemented
890#381C22×C1911yescharacteristic
891#380C22×C1911yescharacteristic
892#380C22×C1911yescharacteristic
893#380C22×C1911yescharacteristic
894#380C22×C1911yescharacteristic, complemented
895#379C22×C1911yescharacteristic
896#379C22×C1911yescharacteristic
897#379C22×C1911yescharacteristic
898C4×C22⋊C4C22×C1911yescharacteristic
899C2×#95C22×C1911yescharacteristic
900C2×#95C22×C1911yescharacteristic
901C2×C19—24no—
902C2×C19—81no—
903C2×C19—81no—
904C2×C19—81no—
905C2×C19C2×#53911yescharacteristic
906C2×C19#349311yescharacteristic
907C2×C19#350611yescharacteristic
908C2×C19#353511yescharacteristic
909C2×C19#354211yescharacteristic
910C2×C19#354511yescharacteristic
911C2×C19#356411yescharacteristic
912C25C23×C1911yescharacteristic
913C22×Q8C23×C1911yescharacteristic
914C22×D4C23×C1911yescharacteristic
915C22×D4C23×C1911yescharacteristic
916C22×D4C23×C1911yescharacteristic
917C23×C4C23×C1911yescharacteristic
918C23×C4C23×C1911yescharacteristic
919C23×C4C23×C1911yescharacteristic
920C23×C4C23×C1911yescharacteristic
921C23×C4C23×C1911yescharacteristic
922C23×C4C23×C1911yescharacteristic
923C23×C4C23×C1911yescharacteristic
924#126—42no—
925#126—42no—
926#125—42no—
927#123—24no—
928#123—42no—
929C22⋊Q8—42no—
930#120—42no—
931C4×D4—42no—
932#117—24no—
933#117—42no—
934C2×C4⋊C4—42no—
935C2×C4⋊C4C23×C1911yescharacteristic
936C2×C4⋊C4C23×C1911yescharacteristic
937C2×C4⋊C4C23×C1911yescharacteristic
938C2×C4⋊C4C23×C1911yescharacteristic
939C2×C4⋊C4C23×C1911yescharacteristic
940C2×C4⋊C4C23×C1911yescharacteristic
941C2×C4⋊C4C23×C1911yescharacteristic
942C2×C4⋊C4C23×C1911yescharacteristic
943C2×C4⋊C4C23×C1911yescharacteristic
944C2×C4⋊C4C23×C1911yescharacteristic
945C2×C4⋊C4C23×C1911yescharacteristic
946C2×C4⋊C4C23×C1911yescharacteristic
947C2×C4⋊C4C23×C1911yescharacteristic
948C2×C4⋊C4C23×C1911yescharacteristic
949C2×C4⋊C4C23×C1911yescharacteristic
950C2×C4⋊C4C23×C1911yescharacteristic
951C2×C4⋊C4C23×C1911yescharacteristic
952C2×C4⋊C4C23×C1911yescharacteristic
953C2×C4⋊C4C23×C1911yescharacteristic
954C2×C4⋊C4C23×C1911yescharacteristic
955C2×C4⋊C4C23×C1911yescharacteristic
956C2×C4⋊C4C23×C1911yescharacteristic
957C2×C4⋊C4C23×C1911yescharacteristic
958C2×C4⋊C4C23×C1911yescharacteristic
959C2×C4⋊C4C23×C1911yescharacteristic
960C2×C4⋊C4C23×C1911yescharacteristic
961C2×C4⋊C4C23×C1911yescharacteristic
962C2×C4⋊C4C23×C1911yescharacteristic
963C2×C4⋊C4C23×C1911yescharacteristic
964C2×C4⋊C4C23×C1911yescharacteristic
965C2×C4⋊C4C23×C1911yescharacteristic
966C2×C4⋊C4C23×C1911yescharacteristic
967C2×C4⋊C4C23×C1911yescharacteristic
968C2×C4⋊C4C23×C1911yescharacteristic
969C2×C4⋊C4C23×C1911yescharacteristic
970C2×C4⋊C4C23×C1911yescharacteristic
971C2×C4⋊C4C23×C1911yescharacteristic
972C2×C4⋊C4C23×C1911yescharacteristic
973C2×C4⋊C4C23×C1911yescharacteristic
974C2×C4⋊C4C23×C1911yescharacteristic
975C2×C22⋊C4—24no—
976C2×C22⋊C4—42no—
977C2×C22⋊C4—42no—
978C2×C22⋊C4C23×C1911yescharacteristic
979C2×C22⋊C4C23×C1911yescharacteristic
980C2×C22⋊C4C23×C1911yescharacteristic
981C2×C22⋊C4C23×C1911yescharacteristic
982C2×C22⋊C4C23×C1911yescharacteristic
983C2×C22⋊C4C23×C1911yescharacteristic
984C2×C22⋊C4C23×C1911yescharacteristic
985C2×C22⋊C4C23×C1911yescharacteristic
986C2×C22⋊C4C23×C1911yescharacteristic
987C2×C22⋊C4C23×C1911yescharacteristic
988C2×C22⋊C4C23×C1911yescharacteristic
989C2×C22⋊C4C23×C1911yescharacteristic
990C2×C22⋊C4C23×C1911yescharacteristic
991C2×C22⋊C4C23×C1911yescharacteristic
992C2×C22⋊C4C23×C1911yescharacteristic
993C2×C22⋊C4C23×C1911yescharacteristic
994C2×C22⋊C4C23×C1911yescharacteristic
995C2×C22⋊C4C23×C1911yescharacteristic
996C2×C22⋊C4C23×C1911yescharacteristic
997C2×C22⋊C4C23×C1911yescharacteristic
998C2×C22⋊C4C23×C1911yescharacteristic
999C2×C22⋊C4C23×C1911yescharacteristic
1000C2×C22⋊C4C23×C1911yescharacteristic
1001C2×C22⋊C4C23×C1911yescharacteristic
1002C2×C22⋊C4C23×C1911yescharacteristic
1003C2×C22⋊C4C23×C1911yescharacteristic
1004C2×C22⋊C4C23×C1911yescharacteristic
1005C2×C22⋊C4C23×C1911yescharacteristic
1006C2×C22⋊C4C23×C1911yescharacteristic
1007C2×C22⋊C4C23×C1911yescharacteristic
1008C2×C22⋊C4C23×C1911yescharacteristic
1009C2×C22⋊C4C23×C1911yescharacteristic
1010C2×C22⋊C4C23×C1911yescharacteristic
1011C2×C22⋊C4C23×C1911yescharacteristic
1012C2×C22⋊C4C23×C1911yescharacteristic
1013C2×C22⋊C4C23×C1911yescharacteristic
1014C2×C22⋊C4C23×C1911yescharacteristic
1015C2×C22⋊C4C23×C1911yescharacteristic
1016C2×C22⋊C4C23×C1911yescharacteristic
1017C2×C22⋊C4C23×C1911yescharacteristic
1018C2×C22⋊C4C23×C1911yescharacteristic
1019C2×C22⋊C4C23×C1911yescharacteristic
1020C2×C22⋊C4C23×C1911yescharacteristic
1021C2×C22⋊C4C23×C1911yescharacteristic
1022C2×C42—42no—
1023C2×C42C23×C1911yescharacteristic
1024C2×C42C23×C1911yescharacteristic
1025C2×C42C23×C1911yescharacteristic
1026C2×C42C23×C1911yescharacteristic
1027C2×C42C23×C1911yescharacteristic
1028C2×C42C23×C1911yescharacteristic
1029C2×C42C23×C1911yescharacteristic
1030C2×C42C23×C1911yescharacteristic
1031C2×C42C23×C1911yescharacteristic
1032C2×C42C23×C1911yescharacteristic
1033C2×C42C23×C1911yescharacteristic
1034#95C23×C1911yescharacteristic
1035#95C23×C1911yescharacteristic
1036#95C23×C1911yescharacteristic
1037#95C23×C1911yescharacteristic
1038#95C23×C1911yescharacteristic
1039#95C23×C1911yescharacteristic
1040#95C23×C1911yescharacteristic
1041#95C23×C1911yescharacteristic
1042#95C23×C1911yescharacteristic
1043#95C23×C1911yescharacteristic
1044#95C23×C1911yescharacteristic
1045#95C23×C1911yescharacteristic
1046#95C23×C1911yescharacteristic
1047#95C23×C1911yescharacteristic
1048#95C23×C1911yescharacteristic
1049#95C23×C1911yescharacteristic
1050#95C23×C1911yescharacteristic
1051#95C23×C1911yescharacteristic
1052#95C23×C1911yescharacteristic
1053#95C23×C1911yescharacteristic
1054#95C23×C1911yescharacteristic
1055#95C23×C1911yescharacteristic
1056#95C23×C1911yescharacteristic
1057#95C23×C1911yescharacteristic
1058#95C23×C1911yescharacteristic
1059#95C23×C1911yescharacteristic
1060#95C23×C1911yescharacteristic
1061#95C23×C1911yescharacteristic
1062#95C23×C1911yescharacteristic
1063#95C23×C1911yescharacteristic
1064#95C23×C1911yescharacteristic
1065#95C23×C1911yescharacteristic
1066#95C23×C1911yescharacteristic
1067#95C23×C1911yescharacteristic
1068#95C23×C1911yescharacteristic
1069#95C23×C1911yescharacteristic
1070#95C23×C1911yescharacteristic
1071#95C23×C1911yescharacteristic
1072#95C23×C1911yescharacteristic
1073#95C23×C1911yescharacteristic
1074#95C23×C1911yescharacteristic
1075#95C23×C1911yescharacteristic
1076#95C23×C1911yescharacteristic
1077#95C23×C1911yescharacteristic
1078#95C23×C1911yescharacteristic
1079#95C23×C1911yescharacteristic
1080#95C23×C1911yescharacteristic
1081#95C23×C1911yescharacteristic
1082C19#3679611yescharacteristic, direct product factor, Sylow
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24C24×C1911yescharacteristic
1091C24C24×C1911yescharacteristic
1092C24C24×C1911yescharacteristic
1093C24C24×C1911yescharacteristic
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4#41×C1914yes—
1127C22×C4C24×C1911yescharacteristic
1128C22×C4C24×C1911yescharacteristic
1129C22×C4C24×C1911yescharacteristic
1130C22×C4C24×C1911yescharacteristic
1131C22×C4C24×C1911yescharacteristic
1132C22×C4C24×C1911yescharacteristic
1133C22×C4C24×C1911yescharacteristic
1134C22×C4C24×C1911yescharacteristic
1135C22×C4C24×C1911yescharacteristic
1136C22×C4C24×C1911yescharacteristic
1137C22×C4C24×C1911yescharacteristic
1138C22×C4C24×C1911yescharacteristic
1139C22×C4C24×C1911yescharacteristic
1140C22×C4C24×C1911yescharacteristic
1141C22×C4C24×C1911yescharacteristic
1142C22×C4C24×C1911yescharacteristic
1143C22×C4C24×C1911yescharacteristic
1144C22×C4C24×C1911yescharacteristic
1145C22×C4C24×C1911yescharacteristic
1146C22×C4C24×C1911yescharacteristic
1147C22×C4C24×C1911yescharacteristic
1148C22×C4C24×C1911yescharacteristic
1149C22×C4C24×C1911yescharacteristic
1150C22×C4C24×C1911yescharacteristic
1151C22×C4C24×C1911yescharacteristic
1152C22×C4C24×C1911yescharacteristic
1153C22×C4C24×C1911yescharacteristic
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
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⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23C2×#41×C1912yes—
1282C23C19×H(5,𝔽2)12yes—
1283C23C19×2−1+412yes—
1284C23C25×C1911yescharacteristic
1285Q8—82no—
1286D4—44no—
1287D4—82no—
1288D4—82no—
1289C2×C4—28no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4C2×#41×C1912yes—
1375C2×C4C2×#41×C1912yes—
1376C2×C4C19×H(5,𝔽2)12yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—88no—
1405C22C19×#53914yes—
1406C22C22×#41×C1911yescharacteristic
1407C22C2×C19×H(5,𝔽2)11yescharacteristic
1408C22C2×C19×H(5,𝔽2)11yescharacteristic
1409C22C2×C19×2−1+411yescharacteristic
1410C22C19×#58511yescharacteristic
1411C22C19×#58511yescharacteristic
1412C22C19×#58511yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C2—24no—
1441C2—81no—
1442C2—81no—
1443C2—81no—
1444C2C2×C19×#53911yescharacteristic
1445C2C19×#349311yescharacteristic
1446C2C19×#350611yescharacteristic
1447C2C19×#353511yescharacteristic
1448C2C19×#354211yescharacteristic
1449C2C19×#354511yescharacteristic
1450C2C19×#356411yescharacteristic
subgroupG/H
center, socleC23×C19C25
commutator, Frattini, cosocleC23C25×C19
prime radicalC2×C19×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2852C2semidirect
2. C19×#2851C2semidirect
3. C19×#2808C2semidirect
4. C19×#2798C2semidirect
5. C19×#2796C2semidirect
6. C19×#2795C2semidirect
7. C19×#2793C2semidirect
8. C19×#2785C2semidirect
9. C19×#2783C2semidirect
10. C19×#2783C2semidirect
11. C19×#2781C2semidirect
12. C19×#2777C2semidirect
13. C19×#2775C2semidirect
14. C19×#2773C2semidirect
15. C19×#2727C2semidirect
16. C19×#2721C2semidirect
17. C19×#2718C2semidirect
18. C19×#2694C2semidirect
19. C19×#2626C2semidirect
21. C19×#2505C2semidirect
22. C19×#2498C2semidirect
23. C19×#2482C2semidirect
24. C19×#2480C2semidirect
25. C19×#2450C2semidirect
26. C19×#2438C2semidirect
29. C19×#2322C2semidirect
30. C19×#2317C2semidirect
31. C2×C19×#388C2semidirect
33. C2×C19×#126C22semidirect
34. C2×C19×#125C22semidirect
47. C19×#400C22semidirect
48. C19×#400C22semidirect
49. C19×#400C22semidirect
50. C19×#400C22semidirect
51. C19×#400C22semidirect
52. C19×#400C22semidirect
58. C19×#399C22semidirect
59. C19×#398C22semidirect
60. C19×#398C22semidirect
61. C19×#398C22semidirect
62. C19×#398C22semidirect
63. C19×#398C22semidirect
74. C19×#397C22semidirect
82. C19×#396C22semidirect
83. C19×#395C22semidirect
94. C19×#393C22semidirect
95. C19×#391C22semidirect
96. C19×#391C22semidirect
99. C19×#389C22semidirect
100. C19×#389C22semidirect
101. C19×#389C22semidirect
102. C19×#389C22semidirect
103. C19×#389C22semidirect
104. C19×#389C22semidirect
105. C19×#389C22semidirect
106. C19×#389C22semidirect
107. C19×#389C22semidirect
108. C19×#389C22semidirect
128. C19×#388C22semidirect
129. C19×#388C22semidirect
130. C19×#388C22semidirect
131. C19×#388C22semidirect
132. C19×#388C22semidirect
133. C19×#388C22semidirect
134. C19×#388C22semidirect
135. C19×#387C22semidirect
136. C19×#387C22semidirect
137. C19×#387C22semidirect
138. C19×#387C22semidirect
139. C19×#387C22semidirect
140. C19×#387C22semidirect
141. C19×#387C22semidirect
142. C19×#387C22semidirect
143. C19×#387C22semidirect
144. C19×#387C22semidirect
145. C19×#387C22semidirect
146. C19×#387C22semidirect
147. C19×#387C22semidirect
148. C19×#387C22semidirect
149. C19×#387C22semidirect
150. C19×#387C22semidirect
166. C19×#385C22semidirect
167. C19×#385C22semidirect
168. C19×#385C22semidirect
169. C19×#384C22semidirect
170. C19×#384C22semidirect
171. C19×#383C22semidirect
172. C19×#382C22semidirect
173. C19×#382C22semidirect
174. C19×#382C22semidirect
175. C19×#382C22semidirect
180. C19×#380C22semidirect
523. #36796C19direct (N × H)
652. #2852C2×C19semidirect
653. #2851C2×C19semidirect
654. #2808C2×C19semidirect
655. #2798C2×C19semidirect
656. #2796C2×C19semidirect
657. #2795C2×C19semidirect
658. #2793C2×C19semidirect
659. #2785C2×C19semidirect
660. #2783C2×C19semidirect
661. #2783C2×C19semidirect
662. #2781C2×C19semidirect
663. #2777C2×C19semidirect
664. #2775C2×C19semidirect
665. #2773C2×C19semidirect
666. #2727C2×C19semidirect
667. #2721C2×C19semidirect
668. #2718C2×C19semidirect
669. #2694C2×C19semidirect
670. #2626C2×C19semidirect
672. #2505C2×C19semidirect
673. #2498C2×C19semidirect
674. #2482C2×C19semidirect
675. #2480C2×C19semidirect
676. #2450C2×C19semidirect
677. #2438C2×C19semidirect
680. #2322C2×C19semidirect
681. #2317C2×C19semidirect
682. C2×#388C2×C19semidirect
747. C2×#126C22×C19semidirect
748. C2×#125C22×C19semidirect
761. #400C22×C19semidirect
762. #400C22×C19semidirect
763. #400C22×C19semidirect
764. #400C22×C19semidirect
765. #400C22×C19semidirect
766. #400C22×C19semidirect
772. #399C22×C19semidirect
773. #398C22×C19semidirect
774. #398C22×C19semidirect
775. #398C22×C19semidirect
776. #398C22×C19semidirect
777. #398C22×C19semidirect
788. #397C22×C19semidirect
796. #396C22×C19semidirect
797. #395C22×C19semidirect
808. #393C22×C19semidirect
809. #391C22×C19semidirect
810. #391C22×C19semidirect
813. #389C22×C19semidirect
814. #389C22×C19semidirect
815. #389C22×C19semidirect
816. #389C22×C19semidirect
817. #389C22×C19semidirect
818. #389C22×C19semidirect
819. #389C22×C19semidirect
820. #389C22×C19semidirect
821. #389C22×C19semidirect
822. #389C22×C19semidirect
842. #388C22×C19semidirect
843. #388C22×C19semidirect
844. #388C22×C19semidirect
845. #388C22×C19semidirect
846. #388C22×C19semidirect
847. #388C22×C19semidirect
848. #388C22×C19semidirect
849. #387C22×C19semidirect
850. #387C22×C19semidirect
851. #387C22×C19semidirect
852. #387C22×C19semidirect
853. #387C22×C19semidirect
854. #387C22×C19semidirect
855. #387C22×C19semidirect
856. #387C22×C19semidirect
857. #387C22×C19semidirect
858. #387C22×C19semidirect
859. #387C22×C19semidirect
860. #387C22×C19semidirect
861. #387C22×C19semidirect
862. #387C22×C19semidirect
863. #387C22×C19semidirect
864. #387C22×C19semidirect
880. #385C22×C19semidirect
881. #385C22×C19semidirect
882. #385C22×C19semidirect
883. #384C22×C19semidirect
884. #384C22×C19semidirect
885. #383C22×C19semidirect
886. #382C22×C19semidirect
887. #382C22×C19semidirect
888. #382C22×C19semidirect
889. #382C22×C19semidirect
894. #380C22×C19semidirect
1082. C19#36796direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28522
C19×#28512
C19×#28082
C19×#27982
C19×#27962
C19×#27952
C19×#27932
C19×#27852
C19×#27832
C19×#27812
C19×#27772
C19×#27752
C19×#27732
C19×#27272
C19×#27212
C19×#27182
C19×#26942
C19×#26262
C19×#26222
C19×#25052
C19×#24982
C19×#24822
C19×#24802
C19×#24502
C19×#24382
C19×#24182
C19×#24112
C19×#23222
C19×#23172
C2×C19×#3882
#3679619