Finite Group Databasebeta

← C19×#36835 #18042794

Subgroups — C19×#36835 #18042794

Order 4864.

1610 conjugacy classes of subgroups.

The subgroup lattice has 1392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2851C211yesmaximal, characteristic, complemented
2C19×#2850C211yesmaximal, characteristic
3C19×#2784C211yesmaximal, characteristic, complemented
4C19×#2781C211yesmaximal, characteristic, complemented
5C19×#2780C211yesmaximal, characteristic, complemented
6C19×#2779C211yesmaximal, characteristic, complemented
7C19×#2772C211yesmaximal, characteristic, complemented
8C19×#2768C211yesmaximal, characteristic, complemented
9C19×#2767C211yesmaximal, characteristic, complemented
10C19×#2729C211yesmaximal, characteristic, complemented
11C19×#2725C211yesmaximal, characteristic, complemented
12C19×#2720C211yesmaximal, characteristic, complemented
13C19×#2720C211yesmaximal, characteristic, complemented
14C19×#2719C211yesmaximal, characteristic, complemented
15C19×#2715C211yesmaximal, characteristic, complemented
16C19×#2711C211yesmaximal, characteristic
17C19×#2708C211yesmaximal, characteristic
18C19×#2674C211yesmaximal, characteristic, complemented
19C19×#2654C211yesmaximal, characteristic, complemented
20C19×#2650C211yesmaximal, characteristic, complemented
21C19×#2609C211yesmaximal, characteristic, complemented
22C19×#2601C211yesmaximal, characteristic, complemented
23C19×#2601C211yesmaximal, characteristic, complemented
24C19×#2588C211yesmaximal, characteristic, complemented
25C19×#2558C211yesmaximal, characteristic, complemented
26C19×#2550C211yesmaximal, characteristic, complemented
27C19×#2479C211yesmaximal, characteristic, complemented
28C19×#2477C211yesmaximal, characteristic, complemented
29C19×#2334C211yesmaximal, characteristic, complemented
30C19×#2314C211yesmaximal, characteristic, complemented
31C19×#2296C211yesmaximal, characteristic, complemented
32C2×C19×C4⋊Q8C2211yescharacteristic
33C2×C19×#126C2211yescharacteristic
34C2×C19×#126C2211yescharacteristic
35C2×C19×#125C2211yescharacteristic
36C2×C19×#125C2211yescharacteristic
37C2×C19×#125C2211yescharacteristic
38C2×C19×#124C2211yescharacteristic
39C2×C19×#123C2211yescharacteristic
40C2×C19×C22⋊Q8C2211yescharacteristic
41C2×C19×C22⋊Q8C2211yescharacteristic
42C2×C19×#121C2211yescharacteristic
43C2×C19×#117C2211yescharacteristic
44C2×C19×#117C2211yescharacteristic
45C2×C19×#117C2211yescharacteristic
46C22×C42×C19C2211yescharacteristic
47C19×#400C2211yescharacteristic
48C19×#400C2211yescharacteristic
49C19×#400C2211yescharacteristic
50C19×#400C2211yescharacteristic
51C19×#400C2211yescharacteristic
52C19×#400C2211yescharacteristic
53C19×#400C2211yescharacteristic
54C19×#400C2211yescharacteristic
55C19×#400C2211yescharacteristic
56C19×#399C2211yescharacteristic
57C19×#399C2211yescharacteristic
58C19×#399C2211yescharacteristic
59C19×#398C2211yescharacteristic
60C19×#398C2211yescharacteristic
61C19×#398C2211yescharacteristic
62C19×#398C2211yescharacteristic
63C19×#398C2211yescharacteristic
64C19×#398C2211yescharacteristic
65C19×#398C2211yescharacteristic
66C19×#398C2211yescharacteristic
67C19×#398C2211yescharacteristic
68C19×#397C2211yescharacteristic
69C19×#397C2211yescharacteristic
70C19×#397C2211yescharacteristic
71C19×#397C2211yescharacteristic
72C19×#397C2211yescharacteristic
73C19×#396C2211yescharacteristic
74C19×#396C2211yescharacteristic
75C19×#396C2211yescharacteristic
76C19×#396C2211yescharacteristic
77C19×#396C2211yescharacteristic
78C19×#396C2211yescharacteristic
79C19×#396C2211yescharacteristic
80C19×#396C2211yescharacteristic
81C19×#396C2211yescharacteristic
82C19×#396C2211yescharacteristic
83C19×#395C2211yescharacteristic
84C19×#395C2211yescharacteristic
85C19×#395C2211yescharacteristic
86C19×#395C2211yescharacteristic
87C19×#394C2211yescharacteristic
88C19×#394C2211yescharacteristic
89C19×#394C2211yescharacteristic
90C19×#394C2211yescharacteristic
91C19×#394C2211yescharacteristic
92C19×#394C2211yescharacteristic
93C19×#393C2211yescharacteristic
94C19×#393C2211yescharacteristic
95C19×#391C2211yescharacteristic
96C19×#391C2211yescharacteristic
97C19×#391C2211yescharacteristic
98C19×#390C2211yescharacteristic
99C19×#390C2211yescharacteristic
100C19×#390C2211yescharacteristic
101C19×#389C2211yescharacteristic
102C19×#389C2211yescharacteristic
103C19×#389C2211yescharacteristic
104C19×#389C2211yescharacteristic
105C19×#389C2211yescharacteristic
106C19×#389C2211yescharacteristic
107C19×#389C2211yescharacteristic
108C19×#389C2211yescharacteristic
109C19×#389C2211yescharacteristic
110C19×#389C2211yescharacteristic
111C19×#389C2211yescharacteristic
112C19×#389C2211yescharacteristic
113C19×#388C2211yescharacteristic
114C19×#388C2211yescharacteristic
115C19×#388C2211yescharacteristic
116C19×#388C2211yescharacteristic
117C19×#388C2211yescharacteristic
118C19×#388C2211yescharacteristic
119C19×#388C2211yescharacteristic
120C19×#388C2211yescharacteristic
121C19×#388C2211yescharacteristic
122C19×#388C2211yescharacteristic
123C19×#388C2211yescharacteristic
124C19×#388C2211yescharacteristic
125C19×#388C2211yescharacteristic
126C19×#388C2211yescharacteristic
127C19×#388C2211yescharacteristic
128C19×#388C2211yescharacteristic
129C19×#388C2211yescharacteristic
130C19×#388C2211yescharacteristic
131C19×#388C2211yescharacteristic
132C19×#388C2211yescharacteristic
133C19×#387C2211yescharacteristic
134C19×#387C2211yescharacteristic
135C19×#387C2211yescharacteristic
136C19×#387C2211yescharacteristic
137C19×#387C2211yescharacteristic
138C19×#387C2211yescharacteristic
139C19×#387C2211yescharacteristic
140C19×#387C2211yescharacteristic
141C19×#387C2211yescharacteristic
142C19×#387C2211yescharacteristic
143C19×#387C2211yescharacteristic
144C19×#387C2211yescharacteristic
145C19×#387C2211yescharacteristic
146C19×#387C2211yescharacteristic
147C19×#387C2211yescharacteristic
148C19×#387C2211yescharacteristic
149C19×#387C2211yescharacteristic
150C19×#387C2211yescharacteristic
151C19×#386C2211yescharacteristic
152C19×#386C2211yescharacteristic
153C19×#386C2211yescharacteristic
154C19×#386C2211yescharacteristic
155C19×#386C2211yescharacteristic
156C19×#386C2211yescharacteristic
157C19×#386C2211yescharacteristic
158C19×#385C2211yescharacteristic
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic
165C19×#385C2211yescharacteristic
166C19×#385C2211yescharacteristic
167C19×#385C2211yescharacteristic
168C19×#385C2211yescharacteristic
169C19×#385C2211yescharacteristic
170C19×#385C2211yescharacteristic
171C19×#384C2211yescharacteristic
172C19×#382C2211yescharacteristic
173C19×#382C2211yescharacteristic
174C19×#382C2211yescharacteristic
175C19×#382C2211yescharacteristic
176C19×#380C2211yescharacteristic
177C19×#380C2211yescharacteristic
178C19×#380C2211yescharacteristic
179C19×#380C2211yescharacteristic
180C4×C4⋊C4×C19C2211yescharacteristic
181C4×C4⋊C4×C19C2211yescharacteristic
182C4×C4⋊C4×C19C2211yescharacteristic
183C4×C4⋊C4×C19C2211yescharacteristic
184C4×C4⋊C4×C19C2211yescharacteristic
185C4×C4⋊C4×C19C2211yescharacteristic
186C4×C22⋊C4×C19C2211yescharacteristic
187C22×Q8×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
197C19×C4⋊Q8—42no—
198C19×#126—24no—
199C19×#126—42no—
200C19×#125—42no—
201C19×#125—42no—
202C19×#125—42no—
203C19×#124—42no—
204C19×#123—42no—
205C19×C22⋊Q8—42no—
206C19×C22⋊Q8—42no—
207C19×#121—42no—
208C19×#117—24no—
209C19×#117—24no—
210C19×#117—42no—
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×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×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×C42×C19—42no—
293C2×C42×C19C2311yescharacteristic
294C2×C42×C19C2311yescharacteristic
295C2×C42×C19C2311yescharacteristic
296C2×C42×C19C2311yescharacteristic
297C2×C42×C19C2311yescharacteristic
298C2×C42×C19C2311yescharacteristic
299C2×C42×C19C2311yescharacteristic
300C2×C42×C19C2311yescharacteristic
301C2×C42×C19C2311yescharacteristic
302C2×C42×C19C2311yescharacteristic
303C2×C42×C19C2311yescharacteristic
304C2×C42×C19C2311yescharacteristic
305C2×C42×C19C2311yescharacteristic
306C2×C42×C19C2311yescharacteristic
307C19×#95C2311yescharacteristic
308C19×#95C2311yescharacteristic
309C19×#95C2311yescharacteristic
310C19×#95C2311yescharacteristic
311C19×#95C2311yescharacteristic
312C19×#95C2311yescharacteristic
313C19×#95C2311yescharacteristic
314C19×#95C2311yescharacteristic
315C19×#95C2311yescharacteristic
316C19×#95C2311yescharacteristic
317C19×#95C2311yescharacteristic
318C19×#95C2311yescharacteristic
319C19×#95C2311yescharacteristic
320C19×#95C2311yescharacteristic
321C19×#95C2311yescharacteristic
322C19×#95C2311yescharacteristic
323C19×#95C2311yescharacteristic
324C19×#95C2311yescharacteristic
325C19×#95C2311yescharacteristic
326C19×#95C2311yescharacteristic
327C19×#95C2311yescharacteristic
328C19×#95C2311yescharacteristic
329C19×#95C2311yescharacteristic
330C19×#95C2311yescharacteristic
331C19×#95C2311yescharacteristic
332C19×#95C2311yescharacteristic
333C19×#95C2311yescharacteristic
334C19×#95C2311yescharacteristic
335C19×#95C2311yescharacteristic
336C19×#95C2311yescharacteristic
337C19×#95C2311yescharacteristic
338C19×#95C2311yescharacteristic
339C19×#95C2311yescharacteristic
340C19×#95C2311yescharacteristic
341C19×#95C2311yescharacteristic
342C19×#95C2311yescharacteristic
343C19×#95C2311yescharacteristic
344C19×#95C2311yescharacteristic
345C19×#95C2311yescharacteristic
346C19×#95C2311yescharacteristic
347C19×#95C2311yescharacteristic
348C19×#95C2311yescharacteristic
349C19×#95C2311yescharacteristic
350C19×#95C2311yescharacteristic
351C19×#95C2311yescharacteristic
352C19×#95C2311yescharacteristic
353C19×#95C2311yescharacteristic
354C19×#95C2311yescharacteristic
355C19×#95C2311yescharacteristic
356C19×#95C2311yescharacteristic
357C24×C19C2411yescharacteristic
358C24×C19C2411yescharacteristic
359C24×C19C2411yescharacteristic
360C2×Q8×C19—22no—
361C2×Q8×C19—41no—
362C2×Q8×C19—41no—
363C2×Q8×C19—41no—
364C2×Q8×C19—41no—
365C2×Q8×C19—41no—
366C2×D4×C19—22no—
367C2×D4×C19—22no—
368C2×D4×C19—22no—
369C2×D4×C19—41no—
370C2×D4×C19—41no—
371C2×D4×C19—41no—
372C2×D4×C19—41no—
373C2×D4×C19—41no—
374C2×D4×C19—41no—
375C22×C4×C19—22no—
376C22×C4×C19—22no—
377C22×C4×C19—22no—
378C22×C4×C19—22no—
379C22×C4×C19—22no—
380C22×C4×C19—22no—
381C22×C4×C19—41no—
382C22×C4×C19—41no—
383C22×C4×C19—41no—
384C22×C4×C19—41no—
385C22×C4×C19—41no—
386C22×C4×C19—41no—
387C22×C4×C19—41no—
388C22×C4×C19—41no—
389C22×C4×C19—41no—
390C22×C4×C19C2411yescharacteristic
391C22×C4×C19C2411yescharacteristic
392C22×C4×C19C2411yescharacteristic
393C22×C4×C19C2411yescharacteristic
394C22×C4×C19C2411yescharacteristic
395C22×C4×C19C2411yescharacteristic
396C22×C4×C19C2411yescharacteristic
397C22×C4×C19C2411yescharacteristic
398C22×C4×C19C2411yescharacteristic
399C22×C4×C19C2411yescharacteristic
400C22×C4×C19C2411yescharacteristic
401C22×C4×C19C2411yescharacteristic
402C22×C4×C19C2411yescharacteristic
403C22×C4×C19C2411yescharacteristic
404C22×C4×C19C2411yescharacteristic
405C22×C4×C19C2411yescharacteristic
406C22×C4×C19C2411yescharacteristic
407C22×C4×C19C2411yescharacteristic
408C22×C4×C19C2411yescharacteristic
409C22×C4×C19C2411yescharacteristic
410C22×C4×C19C2411yescharacteristic
411C22×C4×C19C2411yescharacteristic
412C22×C4×C19C2411yescharacteristic
413C22×C4×C19C2411yescharacteristic
414C22×C4×C19C2411yescharacteristic
415C22×C4×C19C2411yescharacteristic
416C22×C4×C19C2411yescharacteristic
417C22×C4×C19C2411yescharacteristic
418C4⋊C4×C19—22no—
419C4⋊C4×C19—22no—
420C4⋊C4×C19—22no—
421C4⋊C4×C19—22no—
422C4⋊C4×C19—22no—
423C4⋊C4×C19—22no—
424C4⋊C4×C19—22no—
425C4⋊C4×C19—22no—
426C4⋊C4×C19—22no—
427C4⋊C4×C19—22no—
428C4⋊C4×C19—22no—
429C4⋊C4×C19—22no—
430C4⋊C4×C19—22no—
431C4⋊C4×C19—22no—
432C4⋊C4×C19—22no—
433C4⋊C4×C19—22no—
434C4⋊C4×C19—22no—
435C4⋊C4×C19—22no—
436C4⋊C4×C19—22no—
437C4⋊C4×C19—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—
465C22⋊C4×C19—22no—
466C22⋊C4×C19—22no—
467C22⋊C4×C19—22no—
468C22⋊C4×C19—22no—
469C22⋊C4×C19—22no—
470C22⋊C4×C19—22no—
471C22⋊C4×C19—22no—
472C22⋊C4×C19—22no—
473C22⋊C4×C19—22no—
474C22⋊C4×C19—22no—
475C22⋊C4×C19—22no—
476C22⋊C4×C19—22no—
477C22⋊C4×C19—22no—
478C22⋊C4×C19—41no—
479C22⋊C4×C19—41no—
480C22⋊C4×C19—41no—
481C22⋊C4×C19—41no—
482C22⋊C4×C19—41no—
483C22⋊C4×C19—41no—
484C22⋊C4×C19—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—
499C42×C19—22no—
500C42×C19—22no—
501C42×C19—22no—
502C42×C19—22no—
503C42×C19—41no—
504C42×C19—41no—
505C42×C19—41no—
506C42×C19—41no—
507C42×C19—41no—
508C42×C19—41no—
509C42×C19—41no—
510C42×C19—41no—
511C42×C19—41no—
512C42×C19#4114yes—
513#36835C1911yesmaximal, characteristic, direct product factor, Sylow
514C23×C19—21no—
515C23×C19—21no—
516C23×C19—21no—
517C23×C19—21no—
518C23×C19—21no—
519C23×C19—21no—
520C23×C19—21no—
521C23×C19—21no—
522C23×C19—21no—
523C23×C19—21no—
524C23×C19—21no—
525C23×C19—21no—
526C23×C19—21no—
527C23×C19—21no—
528C23×C19—21no—
529C23×C19—21no—
530C23×C19—21no—
531C23×C19—21no—
532C23×C19—21no—
533C23×C19—21no—
534C23×C192−1+412yes—
535C23×C19C2511yescharacteristic
536Q8×C19—82no—
537Q8×C19—82no—
538D4×C19—82no—
539D4×C19—82no—
540D4×C19—82no—
541C2×C4×C19—28no—
542C2×C4×C19—21no—
543C2×C4×C19—21no—
544C2×C4×C19—21no—
545C2×C4×C19—21no—
546C2×C4×C19—21no—
547C2×C4×C19—21no—
548C2×C4×C19—21no—
549C2×C4×C19—21no—
550C2×C4×C19—21no—
551C2×C4×C19—21no—
552C2×C4×C19—21no—
553C2×C4×C19—21no—
554C2×C4×C19—21no—
555C2×C4×C19—21no—
556C2×C4×C19—21no—
557C2×C4×C19—21no—
558C2×C4×C19—21no—
559C2×C4×C19—21no—
560C2×C4×C19—21no—
561C2×C4×C19—21no—
562C2×C4×C19—21no—
563C2×C4×C19—21no—
564C2×C4×C19—21no—
565C2×C4×C19—21no—
566C2×C4×C19—21no—
567C2×C4×C19—21no—
568C2×C4×C19—21no—
569C2×C4×C19—21no—
570C2×C4×C19—21no—
571C2×C4×C19—21no—
572C2×C4×C19—21no—
573C2×C4×C19—21no—
574C2×C4×C19—21no—
575C2×C4×C19—21no—
576C2×C4×C19—21no—
577C2×C4×C19—21no—
578C2×C4×C19—21no—
579C2×C4×C19—21no—
580C2×C4×C19—21no—
581C2×C4×C19—21no—
582C2×C4×C19—21no—
583C2×C4×C19—21no—
584C2×C4×C19—21no—
585C2×C4×C19—21no—
586C2×C4×C19—21no—
587C2×C4×C19—21no—
588C2×C4×C19—21no—
589C2×C4×C19—21no—
590C2×C4×C19—21no—
591C2×C4×C19—21no—
592C2×C4×C19—21no—
593C2×C4×C19—21no—
594C2×C4×C19—21no—
595C2×C4×C19—21no—
596C2×C4×C19—21no—
597C2×C4×C19—21no—
598C2×C4×C19—21no—
599C2×C4×C19—21no—
600C2×C4×C19—21no—
601C2×C4×C19—21no—
602C2×C4×C19—21no—
603C2×C4×C19—21no—
604C2×C4×C19—21no—
605C2×C4×C19—21no—
606C2×C4×C19—21no—
607C2×C4×C19—21no—
608C2×C4×C19—21no—
609C2×C4×C19—21no—
610C2×C4×C19—21no—
611C2×C4×C19—21no—
612C2×C4×C19—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—44no—
621C2×C4×C19—44no—
622C2×C4×C19—44no—
623C2×C4×C19—82no—
624C2×C4×C19C2×#4112yes—
625C2×C4×C19C2×#4112yes—
626C2×C4×C19C2×#4112yes—
627C2×C4×C19H(5,𝔽2)12yes—
628C2×C4×C19H(5,𝔽2)12yes—
629C2×C4×C192−1+412yes—
630#2851C2×C1911yescharacteristic, complemented
631#2850C2×C1911yescharacteristic
632#2784C2×C1911yescharacteristic, complemented
633#2781C2×C1911yescharacteristic, complemented
634#2780C2×C1911yescharacteristic, complemented
635#2779C2×C1911yescharacteristic, complemented
636#2772C2×C1911yescharacteristic, complemented
637#2768C2×C1911yescharacteristic, complemented
638#2767C2×C1911yescharacteristic, complemented
639#2729C2×C1911yescharacteristic, complemented
640#2725C2×C1911yescharacteristic, complemented
641#2720C2×C1911yescharacteristic, complemented
642#2720C2×C1911yescharacteristic, complemented
643#2719C2×C1911yescharacteristic, complemented
644#2715C2×C1911yescharacteristic, complemented
645#2711C2×C1911yescharacteristic
646#2708C2×C1911yescharacteristic
647#2674C2×C1911yescharacteristic, complemented
648#2654C2×C1911yescharacteristic, complemented
649#2650C2×C1911yescharacteristic, complemented
650#2609C2×C1911yescharacteristic, complemented
651#2601C2×C1911yescharacteristic, complemented
652#2601C2×C1911yescharacteristic, complemented
653#2588C2×C1911yescharacteristic, complemented
654#2558C2×C1911yescharacteristic, complemented
655#2550C2×C1911yescharacteristic, complemented
656#2479C2×C1911yescharacteristic, complemented
657#2477C2×C1911yescharacteristic, complemented
658#2334C2×C1911yescharacteristic, complemented
659#2314C2×C1911yescharacteristic, complemented
660#2296C2×C1911yescharacteristic, complemented
661C22×C19—22no—
662C22×C19—22no—
663C22×C19—22no—
664C22×C19—41no—
665C22×C19—41no—
666C22×C19—41no—
667C22×C19—41no—
668C22×C19—41no—
669C22×C19—41no—
670C22×C19—41no—
671C22×C19—41no—
672C22×C19—41no—
673C22×C19—41no—
674C22×C19—41no—
675C22×C19—41no—
676C22×C19—41no—
677C22×C19—41no—
678C22×C19—41no—
679C22×C19—41no—
680C22×C19—41no—
681C22×C19—41no—
682C22×C19C22×#4111yescharacteristic
683C22×C19C2×H(5,𝔽2)11yescharacteristic
684C22×C19C2×H(5,𝔽2)11yescharacteristic
685C22×C19C2×2−1+411yescharacteristic
686C22×C19C2×2−1+411yescharacteristic
687C22×C19#58511yescharacteristic
688C22×C19#58511yescharacteristic
689C4×C19—22no—
690C4×C19—22no—
691C4×C19—22no—
692C4×C19—22no—
693C4×C19—22no—
694C4×C19—22no—
695C4×C19—41no—
696C4×C19—41no—
697C4×C19—41no—
698C4×C19—41no—
699C4×C19—41no—
700C4×C19—41no—
701C4×C19—41no—
702C4×C19—41no—
703C4×C19—41no—
704C4×C19—41no—
705C4×C19—41no—
706C4×C19—41no—
707C4×C19—41no—
708C4×C19—41no—
709C4×C19—41no—
710C4×C19—41no—
711C4×C19—41no—
712C4×C19—41no—
713C4×C19—41no—
714C4×C19—41no—
715C4×C19—41no—
716C4×C19—41no—
717C2×C4⋊Q8C22×C1911yescharacteristic
718C2×#126C22×C1911yescharacteristic
719C2×#126C22×C1911yescharacteristic
720C2×#125C22×C1911yescharacteristic
721C2×#125C22×C1911yescharacteristic
722C2×#125C22×C1911yescharacteristic
723C2×#124C22×C1911yescharacteristic
724C2×#123C22×C1911yescharacteristic
725C2×C22⋊Q8C22×C1911yescharacteristic
726C2×C22⋊Q8C22×C1911yescharacteristic
727C2×#121C22×C1911yescharacteristic
728C2×#117C22×C1911yescharacteristic
729C2×#117C22×C1911yescharacteristic
730C2×#117C22×C1911yescharacteristic
731C22×C42C22×C1911yescharacteristic
732#400C22×C1911yescharacteristic
733#400C22×C1911yescharacteristic
734#400C22×C1911yescharacteristic
735#400C22×C1911yescharacteristic
736#400C22×C1911yescharacteristic
737#400C22×C1911yescharacteristic
738#400C22×C1911yescharacteristic
739#400C22×C1911yescharacteristic
740#400C22×C1911yescharacteristic
741#399C22×C1911yescharacteristic
742#399C22×C1911yescharacteristic
743#399C22×C1911yescharacteristic
744#398C22×C1911yescharacteristic
745#398C22×C1911yescharacteristic
746#398C22×C1911yescharacteristic
747#398C22×C1911yescharacteristic
748#398C22×C1911yescharacteristic
749#398C22×C1911yescharacteristic
750#398C22×C1911yescharacteristic
751#398C22×C1911yescharacteristic
752#398C22×C1911yescharacteristic
753#397C22×C1911yescharacteristic
754#397C22×C1911yescharacteristic
755#397C22×C1911yescharacteristic
756#397C22×C1911yescharacteristic
757#397C22×C1911yescharacteristic
758#396C22×C1911yescharacteristic
759#396C22×C1911yescharacteristic
760#396C22×C1911yescharacteristic
761#396C22×C1911yescharacteristic
762#396C22×C1911yescharacteristic
763#396C22×C1911yescharacteristic
764#396C22×C1911yescharacteristic
765#396C22×C1911yescharacteristic
766#396C22×C1911yescharacteristic
767#396C22×C1911yescharacteristic
768#395C22×C1911yescharacteristic
769#395C22×C1911yescharacteristic
770#395C22×C1911yescharacteristic
771#395C22×C1911yescharacteristic
772#394C22×C1911yescharacteristic
773#394C22×C1911yescharacteristic
774#394C22×C1911yescharacteristic
775#394C22×C1911yescharacteristic
776#394C22×C1911yescharacteristic
777#394C22×C1911yescharacteristic
778#393C22×C1911yescharacteristic
779#393C22×C1911yescharacteristic
780#391C22×C1911yescharacteristic
781#391C22×C1911yescharacteristic
782#391C22×C1911yescharacteristic
783#390C22×C1911yescharacteristic
784#390C22×C1911yescharacteristic
785#390C22×C1911yescharacteristic
786#389C22×C1911yescharacteristic
787#389C22×C1911yescharacteristic
788#389C22×C1911yescharacteristic
789#389C22×C1911yescharacteristic
790#389C22×C1911yescharacteristic
791#389C22×C1911yescharacteristic
792#389C22×C1911yescharacteristic
793#389C22×C1911yescharacteristic
794#389C22×C1911yescharacteristic
795#389C22×C1911yescharacteristic
796#389C22×C1911yescharacteristic
797#389C22×C1911yescharacteristic
798#388C22×C1911yescharacteristic
799#388C22×C1911yescharacteristic
800#388C22×C1911yescharacteristic
801#388C22×C1911yescharacteristic
802#388C22×C1911yescharacteristic
803#388C22×C1911yescharacteristic
804#388C22×C1911yescharacteristic
805#388C22×C1911yescharacteristic
806#388C22×C1911yescharacteristic
807#388C22×C1911yescharacteristic
808#388C22×C1911yescharacteristic
809#388C22×C1911yescharacteristic
810#388C22×C1911yescharacteristic
811#388C22×C1911yescharacteristic
812#388C22×C1911yescharacteristic
813#388C22×C1911yescharacteristic
814#388C22×C1911yescharacteristic
815#388C22×C1911yescharacteristic
816#388C22×C1911yescharacteristic
817#388C22×C1911yescharacteristic
818#387C22×C1911yescharacteristic
819#387C22×C1911yescharacteristic
820#387C22×C1911yescharacteristic
821#387C22×C1911yescharacteristic
822#387C22×C1911yescharacteristic
823#387C22×C1911yescharacteristic
824#387C22×C1911yescharacteristic
825#387C22×C1911yescharacteristic
826#387C22×C1911yescharacteristic
827#387C22×C1911yescharacteristic
828#387C22×C1911yescharacteristic
829#387C22×C1911yescharacteristic
830#387C22×C1911yescharacteristic
831#387C22×C1911yescharacteristic
832#387C22×C1911yescharacteristic
833#387C22×C1911yescharacteristic
834#387C22×C1911yescharacteristic
835#387C22×C1911yescharacteristic
836#386C22×C1911yescharacteristic
837#386C22×C1911yescharacteristic
838#386C22×C1911yescharacteristic
839#386C22×C1911yescharacteristic
840#386C22×C1911yescharacteristic
841#386C22×C1911yescharacteristic
842#386C22×C1911yescharacteristic
843#385C22×C1911yescharacteristic
844#385C22×C1911yescharacteristic
845#385C22×C1911yescharacteristic
846#385C22×C1911yescharacteristic
847#385C22×C1911yescharacteristic
848#385C22×C1911yescharacteristic
849#385C22×C1911yescharacteristic
850#385C22×C1911yescharacteristic
851#385C22×C1911yescharacteristic
852#385C22×C1911yescharacteristic
853#385C22×C1911yescharacteristic
854#385C22×C1911yescharacteristic
855#385C22×C1911yescharacteristic
856#384C22×C1911yescharacteristic
857#382C22×C1911yescharacteristic
858#382C22×C1911yescharacteristic
859#382C22×C1911yescharacteristic
860#382C22×C1911yescharacteristic
861#380C22×C1911yescharacteristic
862#380C22×C1911yescharacteristic
863#380C22×C1911yescharacteristic
864#380C22×C1911yescharacteristic
865C4×C4⋊C4C22×C1911yescharacteristic
866C4×C4⋊C4C22×C1911yescharacteristic
867C4×C4⋊C4C22×C1911yescharacteristic
868C4×C4⋊C4C22×C1911yescharacteristic
869C4×C4⋊C4C22×C1911yescharacteristic
870C4×C4⋊C4C22×C1911yescharacteristic
871C4×C22⋊C4C22×C1911yescharacteristic
872C2×C19—42no—
873C2×C19—81no—
874C2×C19—81no—
875C2×C19#345511yescharacteristic
876C2×C19#349211yescharacteristic
877C2×C19#351111yescharacteristic
878C2×C19#354111yescharacteristic
879C2×C19#354211yescharacteristic
880C2×C19#356111yescharacteristic
881C2×C19#356311yescharacteristic
882C22×Q8C23×C1911yescharacteristic
883C22×Q8C23×C1911yescharacteristic
884C22×D4C23×C1911yescharacteristic
885C22×D4C23×C1911yescharacteristic
886C22×D4C23×C1911yescharacteristic
887C23×C4C23×C1911yescharacteristic
888C23×C4C23×C1911yescharacteristic
889C23×C4C23×C1911yescharacteristic
890C23×C4C23×C1911yescharacteristic
891C23×C4C23×C1911yescharacteristic
892C4⋊Q8—42no—
893#126—24no—
894#126—42no—
895#125—42no—
896#125—42no—
897#125—42no—
898#124—42no—
899#123—42no—
900C22⋊Q8—42no—
901C22⋊Q8—42no—
902#121—42no—
903#117—24no—
904#117—24no—
905#117—42no—
906C2×C4⋊C4C23×C1911yescharacteristic
907C2×C4⋊C4C23×C1911yescharacteristic
908C2×C4⋊C4C23×C1911yescharacteristic
909C2×C4⋊C4C23×C1911yescharacteristic
910C2×C4⋊C4C23×C1911yescharacteristic
911C2×C4⋊C4C23×C1911yescharacteristic
912C2×C4⋊C4C23×C1911yescharacteristic
913C2×C4⋊C4C23×C1911yescharacteristic
914C2×C4⋊C4C23×C1911yescharacteristic
915C2×C4⋊C4C23×C1911yescharacteristic
916C2×C4⋊C4C23×C1911yescharacteristic
917C2×C4⋊C4C23×C1911yescharacteristic
918C2×C4⋊C4C23×C1911yescharacteristic
919C2×C4⋊C4C23×C1911yescharacteristic
920C2×C4⋊C4C23×C1911yescharacteristic
921C2×C4⋊C4C23×C1911yescharacteristic
922C2×C4⋊C4C23×C1911yescharacteristic
923C2×C4⋊C4C23×C1911yescharacteristic
924C2×C4⋊C4C23×C1911yescharacteristic
925C2×C4⋊C4C23×C1911yescharacteristic
926C2×C4⋊C4C23×C1911yescharacteristic
927C2×C4⋊C4C23×C1911yescharacteristic
928C2×C4⋊C4C23×C1911yescharacteristic
929C2×C4⋊C4C23×C1911yescharacteristic
930C2×C4⋊C4C23×C1911yescharacteristic
931C2×C4⋊C4C23×C1911yescharacteristic
932C2×C4⋊C4C23×C1911yescharacteristic
933C2×C4⋊C4C23×C1911yescharacteristic
934C2×C4⋊C4C23×C1911yescharacteristic
935C2×C4⋊C4C23×C1911yescharacteristic
936C2×C4⋊C4C23×C1911yescharacteristic
937C2×C4⋊C4C23×C1911yescharacteristic
938C2×C4⋊C4C23×C1911yescharacteristic
939C2×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×C22⋊C4C23×C1911yescharacteristic
954C2×C22⋊C4C23×C1911yescharacteristic
955C2×C22⋊C4C23×C1911yescharacteristic
956C2×C22⋊C4C23×C1911yescharacteristic
957C2×C22⋊C4C23×C1911yescharacteristic
958C2×C22⋊C4C23×C1911yescharacteristic
959C2×C22⋊C4C23×C1911yescharacteristic
960C2×C22⋊C4C23×C1911yescharacteristic
961C2×C22⋊C4C23×C1911yescharacteristic
962C2×C22⋊C4C23×C1911yescharacteristic
963C2×C22⋊C4C23×C1911yescharacteristic
964C2×C22⋊C4C23×C1911yescharacteristic
965C2×C22⋊C4C23×C1911yescharacteristic
966C2×C22⋊C4C23×C1911yescharacteristic
967C2×C22⋊C4C23×C1911yescharacteristic
968C2×C22⋊C4C23×C1911yescharacteristic
969C2×C22⋊C4C23×C1911yescharacteristic
970C2×C22⋊C4C23×C1911yescharacteristic
971C2×C22⋊C4C23×C1911yescharacteristic
972C2×C22⋊C4C23×C1911yescharacteristic
973C2×C22⋊C4C23×C1911yescharacteristic
974C2×C22⋊C4C23×C1911yescharacteristic
975C2×C22⋊C4C23×C1911yescharacteristic
976C2×C22⋊C4C23×C1911yescharacteristic
977C2×C22⋊C4C23×C1911yescharacteristic
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×C42—42no—
988C2×C42C23×C1911yescharacteristic
989C2×C42C23×C1911yescharacteristic
990C2×C42C23×C1911yescharacteristic
991C2×C42C23×C1911yescharacteristic
992C2×C42C23×C1911yescharacteristic
993C2×C42C23×C1911yescharacteristic
994C2×C42C23×C1911yescharacteristic
995C2×C42C23×C1911yescharacteristic
996C2×C42C23×C1911yescharacteristic
997C2×C42C23×C1911yescharacteristic
998C2×C42C23×C1911yescharacteristic
999C2×C42C23×C1911yescharacteristic
1000C2×C42C23×C1911yescharacteristic
1001C2×C42C23×C1911yescharacteristic
1002#95C23×C1911yescharacteristic
1003#95C23×C1911yescharacteristic
1004#95C23×C1911yescharacteristic
1005#95C23×C1911yescharacteristic
1006#95C23×C1911yescharacteristic
1007#95C23×C1911yescharacteristic
1008#95C23×C1911yescharacteristic
1009#95C23×C1911yescharacteristic
1010#95C23×C1911yescharacteristic
1011#95C23×C1911yescharacteristic
1012#95C23×C1911yescharacteristic
1013#95C23×C1911yescharacteristic
1014#95C23×C1911yescharacteristic
1015#95C23×C1911yescharacteristic
1016#95C23×C1911yescharacteristic
1017#95C23×C1911yescharacteristic
1018#95C23×C1911yescharacteristic
1019#95C23×C1911yescharacteristic
1020#95C23×C1911yescharacteristic
1021#95C23×C1911yescharacteristic
1022#95C23×C1911yescharacteristic
1023#95C23×C1911yescharacteristic
1024#95C23×C1911yescharacteristic
1025#95C23×C1911yescharacteristic
1026#95C23×C1911yescharacteristic
1027#95C23×C1911yescharacteristic
1028#95C23×C1911yescharacteristic
1029#95C23×C1911yescharacteristic
1030#95C23×C1911yescharacteristic
1031#95C23×C1911yescharacteristic
1032#95C23×C1911yescharacteristic
1033#95C23×C1911yescharacteristic
1034#95C23×C1911yescharacteristic
1035#95C23×C1911yescharacteristic
1036#95C23×C1911yescharacteristic
1037#95C23×C1911yescharacteristic
1038#95C23×C1911yescharacteristic
1039#95C23×C1911yescharacteristic
1040#95C23×C1911yescharacteristic
1041#95C23×C1911yescharacteristic
1042#95C23×C1911yescharacteristic
1043#95C23×C1911yescharacteristic
1044#95C23×C1911yescharacteristic
1045#95C23×C1911yescharacteristic
1046#95C23×C1911yescharacteristic
1047#95C23×C1911yescharacteristic
1048#95C23×C1911yescharacteristic
1049#95C23×C1911yescharacteristic
1050#95C23×C1911yescharacteristic
1051#95C23×C1911yescharacteristic
1052C19#3683511yescharacteristic, direct product factor, Sylow
1053C24C24×C1911yescharacteristic
1054C24C24×C1911yescharacteristic
1055C24C24×C1911yescharacteristic
1056C2×Q8—22no—
1057C2×Q8—41no—
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4C24×C1911yescharacteristic
1087C22×C4C24×C1911yescharacteristic
1088C22×C4C24×C1911yescharacteristic
1089C22×C4C24×C1911yescharacteristic
1090C22×C4C24×C1911yescharacteristic
1091C22×C4C24×C1911yescharacteristic
1092C22×C4C24×C1911yescharacteristic
1093C22×C4C24×C1911yescharacteristic
1094C22×C4C24×C1911yescharacteristic
1095C22×C4C24×C1911yescharacteristic
1096C22×C4C24×C1911yescharacteristic
1097C22×C4C24×C1911yescharacteristic
1098C22×C4C24×C1911yescharacteristic
1099C22×C4C24×C1911yescharacteristic
1100C22×C4C24×C1911yescharacteristic
1101C22×C4C24×C1911yescharacteristic
1102C22×C4C24×C1911yescharacteristic
1103C22×C4C24×C1911yescharacteristic
1104C22×C4C24×C1911yescharacteristic
1105C22×C4C24×C1911yescharacteristic
1106C22×C4C24×C1911yescharacteristic
1107C22×C4C24×C1911yescharacteristic
1108C22×C4C24×C1911yescharacteristic
1109C22×C4C24×C1911yescharacteristic
1110C22×C4C24×C1911yescharacteristic
1111C22×C4C24×C1911yescharacteristic
1112C22×C4C24×C1911yescharacteristic
1113C22×C4C24×C1911yescharacteristic
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—22no—
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—41no—
1179C22⋊C4—41no—
1180C22⋊C4—41no—
1181C22⋊C4—41no—
1182C22⋊C4—41no—
1183C22⋊C4—41no—
1184C22⋊C4—41no—
1185C22⋊C4—41no—
1186C22⋊C4—41no—
1187C22⋊C4—41no—
1188C22⋊C4—41no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—41no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42#41×C1914yes—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23C19×2−1+412yes—
1230C23C25×C1911yescharacteristic
1231Q8—82no—
1232Q8—82no—
1233D4—82no—
1234D4—82no—
1235D4—82no—
1236C2×C4—28no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—82no—
1319C2×C4C2×#41×C1912yes—
1320C2×C4C2×#41×C1912yes—
1321C2×C4C2×#41×C1912yes—
1322C2×C4C19×H(5,𝔽2)12yes—
1323C2×C4C19×H(5,𝔽2)12yes—
1324C2×C4C19×2−1+412yes—
1325C22—22no—
1326C22—22no—
1327C22—22no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22C22×#41×C1911yescharacteristic
1347C22C2×C19×H(5,𝔽2)11yescharacteristic
1348C22C2×C19×H(5,𝔽2)11yescharacteristic
1349C22C2×C19×2−1+411yescharacteristic
1350C22C2×C19×2−1+411yescharacteristic
1351C22C19×#58511yescharacteristic
1352C22C19×#58511yescharacteristic
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C2—42no—
1382C2—81no—
1383C2—81no—
1384C2C19×#345511yescharacteristic
1385C2C19×#349211yescharacteristic
1386C2C19×#351111yescharacteristic
1387C2C19×#354111yescharacteristic
1388C2C19×#354211yescharacteristic
1389C2C19×#356111yescharacteristic
1390C2C19×#356311yescharacteristic
subgroupG/H
center, socleC23×C19C25
commutator, Frattini, cosocleC23C25×C19
prime radicalC2×C19×#121C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#2851C2semidirect
3. C19×#2784C2semidirect
4. C19×#2781C2semidirect
5. C19×#2780C2semidirect
6. C19×#2779C2semidirect
7. C19×#2772C2semidirect
8. C19×#2768C2semidirect
9. C19×#2767C2semidirect
10. C19×#2729C2semidirect
11. C19×#2725C2semidirect
12. C19×#2720C2semidirect
13. C19×#2720C2semidirect
14. C19×#2719C2semidirect
15. C19×#2715C2semidirect
18. C19×#2674C2semidirect
19. C19×#2654C2semidirect
20. C19×#2650C2semidirect
21. C19×#2609C2semidirect
22. C19×#2601C2semidirect
23. C19×#2601C2semidirect
24. C19×#2588C2semidirect
25. C19×#2558C2semidirect
26. C19×#2550C2semidirect
27. C19×#2479C2semidirect
28. C19×#2477C2semidirect
29. C19×#2334C2semidirect
30. C19×#2314C2semidirect
31. C19×#2296C2semidirect
513. #36835C19direct (N × H)
630. #2851C2×C19semidirect
632. #2784C2×C19semidirect
633. #2781C2×C19semidirect
634. #2780C2×C19semidirect
635. #2779C2×C19semidirect
636. #2772C2×C19semidirect
637. #2768C2×C19semidirect
638. #2767C2×C19semidirect
639. #2729C2×C19semidirect
640. #2725C2×C19semidirect
641. #2720C2×C19semidirect
642. #2720C2×C19semidirect
643. #2719C2×C19semidirect
644. #2715C2×C19semidirect
647. #2674C2×C19semidirect
648. #2654C2×C19semidirect
649. #2650C2×C19semidirect
650. #2609C2×C19semidirect
651. #2601C2×C19semidirect
652. #2601C2×C19semidirect
653. #2588C2×C19semidirect
654. #2558C2×C19semidirect
655. #2550C2×C19semidirect
656. #2479C2×C19semidirect
657. #2477C2×C19semidirect
658. #2334C2×C19semidirect
659. #2314C2×C19semidirect
660. #2296C2×C19semidirect
1052. C19#36835direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28512
C19×#28502
C19×#27842
C19×#27812
C19×#27802
C19×#27792
C19×#27722
C19×#27682
C19×#27672
C19×#27292
C19×#27252
C19×#27202
C19×#27192
C19×#27152
C19×#27112
C19×#27082
C19×#26742
C19×#26542
C19×#26502
C19×#26092
C19×#26012
C19×#25882
C19×#25582
C19×#25502
C19×#24792
C19×#24772
C19×#23342
C19×#23142
C19×#22962
#3683519