Finite Group Databasebeta

← C19×#36838 #18042797

Subgroups — C19×#36838 #18042797

Order 4864.

1526 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#2853C211yesmaximal, characteristic, complemented
2C19×#2853C211yesmaximal, characteristic, complemented
3C19×#2802C211yesmaximal, characteristic, complemented
4C19×#2801C211yesmaximal, characteristic, complemented
5C19×#2791C211yesmaximal, characteristic, complemented
6C19×#2790C211yesmaximal, characteristic, complemented
7C19×#2779C211yesmaximal, characteristic, complemented
8C19×#2772C211yesmaximal, characteristic, complemented
9C19×#2768C211yesmaximal, characteristic, complemented
10C19×#2765C211yesmaximal, characteristic, complemented
11C19×#2765C211yesmaximal, characteristic, complemented
12C19×#2765C211yesmaximal, characteristic, complemented
13C19×#2761C211yesmaximal, characteristic, complemented
14C19×#2750C211yesmaximal, characteristic, complemented
15C19×#2718C211yesmaximal, characteristic, complemented
16C19×#2718C211yesmaximal, characteristic, complemented
17C19×#2708C211yesmaximal, characteristic
18C19×#2701C211yesmaximal, characteristic
19C19×#2655C211yesmaximal, characteristic, complemented
20C19×#2651C211yesmaximal, characteristic, complemented
21C19×#2609C211yesmaximal, characteristic, complemented
22C19×#2601C211yesmaximal, characteristic, complemented
23C19×#2601C211yesmaximal, characteristic, complemented
24C19×#2594C211yesmaximal, characteristic, complemented
25C19×#2575C211yesmaximal, characteristic, complemented
26C19×#2570C211yesmaximal, characteristic, complemented
27C19×#2478C211yesmaximal, characteristic, complemented
28C19×#2476C211yesmaximal, characteristic
29C19×#2334C211yesmaximal, characteristic, complemented
30C19×#2314C211yesmaximal, characteristic, complemented
31C19×#2296C211yesmaximal, characteristic, complemented
32C2×C19×#126C2211yescharacteristic
33C2×C19×#126C2211yescharacteristic
34C2×C19×#123C2211yescharacteristic
35C2×C19×#123C2211yescharacteristic
36C2×C19×#121C2211yescharacteristic
37C2×C19×#117C2211yescharacteristic
38C2×C19×#117C2211yescharacteristic
39C2×C19×#117C2211yescharacteristic
40C22×C42×C19C2211yescharacteristic
41C19×#401C2211yescharacteristic
42C19×#401C2211yescharacteristic
43C19×#400C2211yescharacteristic
44C19×#400C2211yescharacteristic
45C19×#400C2211yescharacteristic
46C19×#400C2211yescharacteristic
47C19×#400C2211yescharacteristic
48C19×#400C2211yescharacteristic
49C19×#400C2211yescharacteristic
50C19×#400C2211yescharacteristic
51C19×#399C2211yescharacteristic
52C19×#399C2211yescharacteristic
53C19×#398C2211yescharacteristic
54C19×#398C2211yescharacteristic
55C19×#398C2211yescharacteristic
56C19×#398C2211yescharacteristic
57C19×#398C2211yescharacteristic
58C19×#398C2211yescharacteristic
59C19×#398C2211yescharacteristic
60C19×#398C2211yescharacteristic
61C19×#398C2211yescharacteristic
62C19×#398C2211yescharacteristic
63C19×#398C2211yescharacteristic
64C19×#398C2211yescharacteristic
65C19×#398C2211yescharacteristic
66C19×#398C2211yescharacteristic
67C19×#397C2211yescharacteristic
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×#394C2211yescharacteristic
82C19×#394C2211yescharacteristic
83C19×#394C2211yescharacteristic
84C19×#394C2211yescharacteristic
85C19×#394C2211yescharacteristic
86C19×#394C2211yescharacteristic
87C19×#394C2211yescharacteristic
88C19×#394C2211yescharacteristic
89C19×#390C2211yescharacteristic
90C19×#390C2211yescharacteristic
91C19×#389C2211yescharacteristic
92C19×#389C2211yescharacteristic
93C19×#389C2211yescharacteristic
94C19×#389C2211yescharacteristic
95C19×#389C2211yescharacteristic
96C19×#389C2211yescharacteristic
97C19×#389C2211yescharacteristic
98C19×#389C2211yescharacteristic
99C19×#389C2211yescharacteristic
100C19×#389C2211yescharacteristic
101C19×#389C2211yescharacteristic
102C19×#389C2211yescharacteristic
103C19×#388C2211yescharacteristic
104C19×#388C2211yescharacteristic
105C19×#388C2211yescharacteristic
106C19×#388C2211yescharacteristic
107C19×#388C2211yescharacteristic
108C19×#388C2211yescharacteristic
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×#387C2211yescharacteristic
128C19×#387C2211yescharacteristic
129C19×#387C2211yescharacteristic
130C19×#387C2211yescharacteristic
131C19×#387C2211yescharacteristic
132C19×#387C2211yescharacteristic
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×#386C2211yescharacteristic
150C19×#386C2211yescharacteristic
151C19×#386C2211yescharacteristic
152C19×#386C2211yescharacteristic
153C19×#386C2211yescharacteristic
154C19×#386C2211yescharacteristic
155C19×#385C2211yescharacteristic
156C19×#385C2211yescharacteristic
157C19×#385C2211yescharacteristic
158C19×#385C2211yescharacteristic
159C19×#385C2211yescharacteristic
160C19×#385C2211yescharacteristic
161C19×#385C2211yescharacteristic
162C19×#385C2211yescharacteristic
163C19×#385C2211yescharacteristic
164C19×#385C2211yescharacteristic
165C19×#385C2211yescharacteristic
166C19×#385C2211yescharacteristic
167C19×#385C2211yescharacteristic
168C19×#385C2211yescharacteristic
169C19×#384C2211yescharacteristic
170C19×#384C2211yescharacteristic
171C19×#382C2211yescharacteristic
172C19×#382C2211yescharacteristic
173C19×#382C2211yescharacteristic
174C19×#382C2211yescharacteristic
175C19×#381C2211yescharacteristic
176C19×#381C2211yescharacteristic
177C19×#381C2211yescharacteristic
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×D4×C19C2311yescharacteristic
188C22×D4×C19C2311yescharacteristic
189C22×D4×C19C2311yescharacteristic
190C23×C4×C19C2311yescharacteristic
191C23×C4×C19C2311yescharacteristic
192C23×C4×C19C2311yescharacteristic
193C23×C4×C19C2311yescharacteristic
194C23×C4×C19C2311yescharacteristic
195C19×#126—24no—
196C19×#126—42no—
197C19×#123—42no—
198C19×#123—42no—
199C19×#121—42no—
200C19×#117—24no—
201C19×#117—24no—
202C19×#117—42no—
203C2×C4⋊C4×C19C2311yescharacteristic
204C2×C4⋊C4×C19C2311yescharacteristic
205C2×C4⋊C4×C19C2311yescharacteristic
206C2×C4⋊C4×C19C2311yescharacteristic
207C2×C4⋊C4×C19C2311yescharacteristic
208C2×C4⋊C4×C19C2311yescharacteristic
209C2×C4⋊C4×C19C2311yescharacteristic
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×C22⋊C4×C19C2311yescharacteristic
249C2×C22⋊C4×C19C2311yescharacteristic
250C2×C22⋊C4×C19C2311yescharacteristic
251C2×C22⋊C4×C19C2311yescharacteristic
252C2×C22⋊C4×C19C2311yescharacteristic
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×C42×C19—42no—
283C2×C42×C19C2311yescharacteristic
284C2×C42×C19C2311yescharacteristic
285C2×C42×C19C2311yescharacteristic
286C2×C42×C19C2311yescharacteristic
287C2×C42×C19C2311yescharacteristic
288C2×C42×C19C2311yescharacteristic
289C2×C42×C19C2311yescharacteristic
290C2×C42×C19C2311yescharacteristic
291C2×C42×C19C2311yescharacteristic
292C2×C42×C19C2311yescharacteristic
293C2×C42×C19C2311yescharacteristic
294C2×C42×C19C2311yescharacteristic
295C2×C42×C19C2311yescharacteristic
296C2×C42×C19C2311yescharacteristic
297C19×#95C2311yescharacteristic
298C19×#95C2311yescharacteristic
299C19×#95C2311yescharacteristic
300C19×#95C2311yescharacteristic
301C19×#95C2311yescharacteristic
302C19×#95C2311yescharacteristic
303C19×#95C2311yescharacteristic
304C19×#95C2311yescharacteristic
305C19×#95C2311yescharacteristic
306C19×#95C2311yescharacteristic
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
351C24×C19C2411yescharacteristic
352C24×C19C2411yescharacteristic
353C24×C19C2411yescharacteristic
354C2×D4×C19—22no—
355C2×D4×C19—22no—
356C2×D4×C19—41no—
357C2×D4×C19—41no—
358C2×D4×C19—41no—
359C2×D4×C19—41no—
360C2×D4×C19—41no—
361C2×D4×C19—41no—
362C2×D4×C19—41no—
363C22×C4×C19—22no—
364C22×C4×C19—22no—
365C22×C4×C19—22no—
366C22×C4×C19—22no—
367C22×C4×C19—22no—
368C22×C4×C19—22no—
369C22×C4×C19—41no—
370C22×C4×C19—41no—
371C22×C4×C19—41no—
372C22×C4×C19—41no—
373C22×C4×C19—41no—
374C22×C4×C19—41no—
375C22×C4×C19—41no—
376C22×C4×C19—41no—
377C22×C4×C19—41no—
378C22×C4×C19C2411yescharacteristic
379C22×C4×C19C2411yescharacteristic
380C22×C4×C19C2411yescharacteristic
381C22×C4×C19C2411yescharacteristic
382C22×C4×C19C2411yescharacteristic
383C22×C4×C19C2411yescharacteristic
384C22×C4×C19C2411yescharacteristic
385C22×C4×C19C2411yescharacteristic
386C22×C4×C19C2411yescharacteristic
387C22×C4×C19C2411yescharacteristic
388C22×C4×C19C2411yescharacteristic
389C22×C4×C19C2411yescharacteristic
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
406C4⋊C4×C19—22no—
407C4⋊C4×C19—22no—
408C4⋊C4×C19—22no—
409C4⋊C4×C19—22no—
410C4⋊C4×C19—22no—
411C4⋊C4×C19—22no—
412C4⋊C4×C19—22no—
413C4⋊C4×C19—22no—
414C4⋊C4×C19—22no—
415C4⋊C4×C19—41no—
416C4⋊C4×C19—41no—
417C4⋊C4×C19—41no—
418C4⋊C4×C19—41no—
419C4⋊C4×C19—41no—
420C4⋊C4×C19—41no—
421C4⋊C4×C19—41no—
422C4⋊C4×C19—41no—
423C4⋊C4×C19—41no—
424C4⋊C4×C19—41no—
425C4⋊C4×C19—41no—
426C4⋊C4×C19—41no—
427C4⋊C4×C19—41no—
428C4⋊C4×C19—41no—
429C4⋊C4×C19—41no—
430C4⋊C4×C19—41no—
431C4⋊C4×C19—41no—
432C4⋊C4×C19—41no—
433C4⋊C4×C19—41no—
434C4⋊C4×C19—41no—
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—
451C22⋊C4×C19—22no—
452C22⋊C4×C19—22no—
453C22⋊C4×C19—22no—
454C22⋊C4×C19—22no—
455C22⋊C4×C19—22no—
456C22⋊C4×C19—22no—
457C22⋊C4×C19—22no—
458C22⋊C4×C19—22no—
459C22⋊C4×C19—22no—
460C22⋊C4×C19—22no—
461C22⋊C4×C19—22no—
462C22⋊C4×C19—22no—
463C22⋊C4×C19—22no—
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—41no—
474C22⋊C4×C19—41no—
475C22⋊C4×C19—41no—
476C22⋊C4×C19—41no—
477C22⋊C4×C19—41no—
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—
485C42×C19—22no—
486C42×C19—22no—
487C42×C19—41no—
488C42×C19—41no—
489C42×C19—41no—
490C42×C19—41no—
491C42×C19—41no—
492C42×C19—41no—
493C42×C19—41no—
494C42×C19—41no—
495C42×C19—41no—
496C42×C19—41no—
497C42×C19—41no—
498C42×C19#4114yes—
499#36838C1911yesmaximal, characteristic, direct product factor, Sylow
500C23×C19—21no—
501C23×C19—21no—
502C23×C19—21no—
503C23×C19—21no—
504C23×C19—21no—
505C23×C19—21no—
506C23×C19—21no—
507C23×C19—21no—
508C23×C19—21no—
509C23×C19—21no—
510C23×C19—21no—
511C23×C19—21no—
512C23×C19—21no—
513C23×C19—21no—
514C23×C19—21no—
515C23×C19—21no—
516C23×C19—21no—
517C23×C19—21no—
518C23×C19—21no—
519C23×C19—21no—
520C23×C19H(5,𝔽2)12yes—
521C23×C19C2511yescharacteristic
522D4×C19—82no—
523D4×C19—82no—
524D4×C19—82no—
525C2×C4×C19—28no—
526C2×C4×C19—21no—
527C2×C4×C19—21no—
528C2×C4×C19—21no—
529C2×C4×C19—21no—
530C2×C4×C19—21no—
531C2×C4×C19—21no—
532C2×C4×C19—21no—
533C2×C4×C19—21no—
534C2×C4×C19—21no—
535C2×C4×C19—21no—
536C2×C4×C19—21no—
537C2×C4×C19—21no—
538C2×C4×C19—21no—
539C2×C4×C19—21no—
540C2×C4×C19—21no—
541C2×C4×C19—21no—
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—44no—
607C2×C4×C19—44no—
608C2×C4×C19—44no—
609C2×C4×C19—82no—
610C2×C4×C19C2×#4112yes—
611C2×C4×C19C2×#4112yes—
612C2×C4×C19C2×#4112yes—
613C2×C4×C192−1+412yes—
614#2853C2×C1911yescharacteristic, complemented
615#2853C2×C1911yescharacteristic, complemented
616#2802C2×C1911yescharacteristic, complemented
617#2801C2×C1911yescharacteristic, complemented
618#2791C2×C1911yescharacteristic, complemented
619#2790C2×C1911yescharacteristic, complemented
620#2779C2×C1911yescharacteristic, complemented
621#2772C2×C1911yescharacteristic, complemented
622#2768C2×C1911yescharacteristic, complemented
623#2765C2×C1911yescharacteristic, complemented
624#2765C2×C1911yescharacteristic, complemented
625#2765C2×C1911yescharacteristic, complemented
626#2761C2×C1911yescharacteristic, complemented
627#2750C2×C1911yescharacteristic, complemented
628#2718C2×C1911yescharacteristic, complemented
629#2718C2×C1911yescharacteristic, complemented
630#2708C2×C1911yescharacteristic
631#2701C2×C1911yescharacteristic
632#2655C2×C1911yescharacteristic, complemented
633#2651C2×C1911yescharacteristic, complemented
634#2609C2×C1911yescharacteristic, complemented
635#2601C2×C1911yescharacteristic, complemented
636#2601C2×C1911yescharacteristic, complemented
637#2594C2×C1911yescharacteristic, complemented
638#2575C2×C1911yescharacteristic, complemented
639#2570C2×C1911yescharacteristic, complemented
640#2478C2×C1911yescharacteristic, complemented
641#2476C2×C1911yescharacteristic
642#2334C2×C1911yescharacteristic, complemented
643#2314C2×C1911yescharacteristic, complemented
644#2296C2×C1911yescharacteristic, complemented
645C22×C19—22no—
646C22×C19—22no—
647C22×C19—22no—
648C22×C19—41no—
649C22×C19—41no—
650C22×C19—41no—
651C22×C19—41no—
652C22×C19—41no—
653C22×C19—41no—
654C22×C19—41no—
655C22×C19—41no—
656C22×C19—41no—
657C22×C19—41no—
658C22×C19—41no—
659C22×C19—41no—
660C22×C19—41no—
661C22×C19—41no—
662C22×C19—41no—
663C22×C19—41no—
664C22×C19—41no—
665C22×C19—41no—
666C22×C19C22×#4111yescharacteristic
667C22×C19C2×H(5,𝔽2)11yescharacteristic
668C22×C19C2×2−1+411yescharacteristic
669C22×C19#58511yescharacteristic
670C22×C19#58511yescharacteristic
671C22×C19#58511yescharacteristic
672C22×C19#58511yescharacteristic
673C4×C19—22no—
674C4×C19—22no—
675C4×C19—22no—
676C4×C19—22no—
677C4×C19—41no—
678C4×C19—41no—
679C4×C19—41no—
680C4×C19—41no—
681C4×C19—41no—
682C4×C19—41no—
683C4×C19—41no—
684C4×C19—41no—
685C4×C19—41no—
686C4×C19—41no—
687C4×C19—41no—
688C4×C19—41no—
689C4×C19—41no—
690C4×C19—41no—
691C4×C19—41no—
692C4×C19—41no—
693C4×C19—41no—
694C4×C19—41no—
695C4×C19—41no—
696C4×C19—41no—
697C4×C19—41no—
698C4×C19—41no—
699C4×C19—41no—
700C4×C19—41no—
701C2×#126C22×C1911yescharacteristic
702C2×#126C22×C1911yescharacteristic
703C2×#123C22×C1911yescharacteristic
704C2×#123C22×C1911yescharacteristic
705C2×#121C22×C1911yescharacteristic
706C2×#117C22×C1911yescharacteristic
707C2×#117C22×C1911yescharacteristic
708C2×#117C22×C1911yescharacteristic
709C22×C42C22×C1911yescharacteristic
710#401C22×C1911yescharacteristic
711#401C22×C1911yescharacteristic
712#400C22×C1911yescharacteristic
713#400C22×C1911yescharacteristic
714#400C22×C1911yescharacteristic
715#400C22×C1911yescharacteristic
716#400C22×C1911yescharacteristic
717#400C22×C1911yescharacteristic
718#400C22×C1911yescharacteristic
719#400C22×C1911yescharacteristic
720#399C22×C1911yescharacteristic
721#399C22×C1911yescharacteristic
722#398C22×C1911yescharacteristic
723#398C22×C1911yescharacteristic
724#398C22×C1911yescharacteristic
725#398C22×C1911yescharacteristic
726#398C22×C1911yescharacteristic
727#398C22×C1911yescharacteristic
728#398C22×C1911yescharacteristic
729#398C22×C1911yescharacteristic
730#398C22×C1911yescharacteristic
731#398C22×C1911yescharacteristic
732#398C22×C1911yescharacteristic
733#398C22×C1911yescharacteristic
734#398C22×C1911yescharacteristic
735#398C22×C1911yescharacteristic
736#397C22×C1911yescharacteristic
737#397C22×C1911yescharacteristic
738#397C22×C1911yescharacteristic
739#397C22×C1911yescharacteristic
740#397C22×C1911yescharacteristic
741#397C22×C1911yescharacteristic
742#396C22×C1911yescharacteristic
743#396C22×C1911yescharacteristic
744#396C22×C1911yescharacteristic
745#396C22×C1911yescharacteristic
746#396C22×C1911yescharacteristic
747#396C22×C1911yescharacteristic
748#396C22×C1911yescharacteristic
749#396C22×C1911yescharacteristic
750#394C22×C1911yescharacteristic
751#394C22×C1911yescharacteristic
752#394C22×C1911yescharacteristic
753#394C22×C1911yescharacteristic
754#394C22×C1911yescharacteristic
755#394C22×C1911yescharacteristic
756#394C22×C1911yescharacteristic
757#394C22×C1911yescharacteristic
758#390C22×C1911yescharacteristic
759#390C22×C1911yescharacteristic
760#389C22×C1911yescharacteristic
761#389C22×C1911yescharacteristic
762#389C22×C1911yescharacteristic
763#389C22×C1911yescharacteristic
764#389C22×C1911yescharacteristic
765#389C22×C1911yescharacteristic
766#389C22×C1911yescharacteristic
767#389C22×C1911yescharacteristic
768#389C22×C1911yescharacteristic
769#389C22×C1911yescharacteristic
770#389C22×C1911yescharacteristic
771#389C22×C1911yescharacteristic
772#388C22×C1911yescharacteristic
773#388C22×C1911yescharacteristic
774#388C22×C1911yescharacteristic
775#388C22×C1911yescharacteristic
776#388C22×C1911yescharacteristic
777#388C22×C1911yescharacteristic
778#388C22×C1911yescharacteristic
779#388C22×C1911yescharacteristic
780#388C22×C1911yescharacteristic
781#388C22×C1911yescharacteristic
782#388C22×C1911yescharacteristic
783#388C22×C1911yescharacteristic
784#388C22×C1911yescharacteristic
785#388C22×C1911yescharacteristic
786#388C22×C1911yescharacteristic
787#388C22×C1911yescharacteristic
788#388C22×C1911yescharacteristic
789#388C22×C1911yescharacteristic
790#388C22×C1911yescharacteristic
791#388C22×C1911yescharacteristic
792#388C22×C1911yescharacteristic
793#388C22×C1911yescharacteristic
794#388C22×C1911yescharacteristic
795#388C22×C1911yescharacteristic
796#387C22×C1911yescharacteristic
797#387C22×C1911yescharacteristic
798#387C22×C1911yescharacteristic
799#387C22×C1911yescharacteristic
800#387C22×C1911yescharacteristic
801#387C22×C1911yescharacteristic
802#387C22×C1911yescharacteristic
803#387C22×C1911yescharacteristic
804#387C22×C1911yescharacteristic
805#387C22×C1911yescharacteristic
806#387C22×C1911yescharacteristic
807#387C22×C1911yescharacteristic
808#387C22×C1911yescharacteristic
809#387C22×C1911yescharacteristic
810#387C22×C1911yescharacteristic
811#387C22×C1911yescharacteristic
812#387C22×C1911yescharacteristic
813#387C22×C1911yescharacteristic
814#387C22×C1911yescharacteristic
815#387C22×C1911yescharacteristic
816#387C22×C1911yescharacteristic
817#387C22×C1911yescharacteristic
818#386C22×C1911yescharacteristic
819#386C22×C1911yescharacteristic
820#386C22×C1911yescharacteristic
821#386C22×C1911yescharacteristic
822#386C22×C1911yescharacteristic
823#386C22×C1911yescharacteristic
824#385C22×C1911yescharacteristic
825#385C22×C1911yescharacteristic
826#385C22×C1911yescharacteristic
827#385C22×C1911yescharacteristic
828#385C22×C1911yescharacteristic
829#385C22×C1911yescharacteristic
830#385C22×C1911yescharacteristic
831#385C22×C1911yescharacteristic
832#385C22×C1911yescharacteristic
833#385C22×C1911yescharacteristic
834#385C22×C1911yescharacteristic
835#385C22×C1911yescharacteristic
836#385C22×C1911yescharacteristic
837#385C22×C1911yescharacteristic
838#384C22×C1911yescharacteristic
839#384C22×C1911yescharacteristic
840#382C22×C1911yescharacteristic
841#382C22×C1911yescharacteristic
842#382C22×C1911yescharacteristic
843#382C22×C1911yescharacteristic
844#381C22×C1911yescharacteristic
845#381C22×C1911yescharacteristic
846#381C22×C1911yescharacteristic
847#380C22×C1911yescharacteristic
848#380C22×C1911yescharacteristic
849C4×C4⋊C4C22×C1911yescharacteristic
850C4×C4⋊C4C22×C1911yescharacteristic
851C4×C4⋊C4C22×C1911yescharacteristic
852C4×C4⋊C4C22×C1911yescharacteristic
853C4×C4⋊C4C22×C1911yescharacteristic
854C4×C4⋊C4C22×C1911yescharacteristic
855C4×C22⋊C4C22×C1911yescharacteristic
856C2×C19—42no—
857C2×C19—81no—
858C2×C19—81no—
859C2×C19#345511yescharacteristic
860C2×C19#349211yescharacteristic
861C2×C19#351211yescharacteristic
862C2×C19#353311yescharacteristic
863C2×C19#353311yescharacteristic
864C2×C19#356511yescharacteristic
865C2×C19#356511yescharacteristic
866C22×D4C23×C1911yescharacteristic
867C22×D4C23×C1911yescharacteristic
868C22×D4C23×C1911yescharacteristic
869C23×C4C23×C1911yescharacteristic
870C23×C4C23×C1911yescharacteristic
871C23×C4C23×C1911yescharacteristic
872C23×C4C23×C1911yescharacteristic
873C23×C4C23×C1911yescharacteristic
874#126—24no—
875#126—42no—
876#123—42no—
877#123—42no—
878#121—42no—
879#117—24no—
880#117—24no—
881#117—42no—
882C2×C4⋊C4C23×C1911yescharacteristic
883C2×C4⋊C4C23×C1911yescharacteristic
884C2×C4⋊C4C23×C1911yescharacteristic
885C2×C4⋊C4C23×C1911yescharacteristic
886C2×C4⋊C4C23×C1911yescharacteristic
887C2×C4⋊C4C23×C1911yescharacteristic
888C2×C4⋊C4C23×C1911yescharacteristic
889C2×C4⋊C4C23×C1911yescharacteristic
890C2×C4⋊C4C23×C1911yescharacteristic
891C2×C4⋊C4C23×C1911yescharacteristic
892C2×C4⋊C4C23×C1911yescharacteristic
893C2×C4⋊C4C23×C1911yescharacteristic
894C2×C4⋊C4C23×C1911yescharacteristic
895C2×C4⋊C4C23×C1911yescharacteristic
896C2×C4⋊C4C23×C1911yescharacteristic
897C2×C4⋊C4C23×C1911yescharacteristic
898C2×C4⋊C4C23×C1911yescharacteristic
899C2×C4⋊C4C23×C1911yescharacteristic
900C2×C4⋊C4C23×C1911yescharacteristic
901C2×C4⋊C4C23×C1911yescharacteristic
902C2×C4⋊C4C23×C1911yescharacteristic
903C2×C4⋊C4C23×C1911yescharacteristic
904C2×C4⋊C4C23×C1911yescharacteristic
905C2×C4⋊C4C23×C1911yescharacteristic
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×C22⋊C4C23×C1911yescharacteristic
928C2×C22⋊C4C23×C1911yescharacteristic
929C2×C22⋊C4C23×C1911yescharacteristic
930C2×C22⋊C4C23×C1911yescharacteristic
931C2×C22⋊C4C23×C1911yescharacteristic
932C2×C22⋊C4C23×C1911yescharacteristic
933C2×C22⋊C4C23×C1911yescharacteristic
934C2×C22⋊C4C23×C1911yescharacteristic
935C2×C22⋊C4C23×C1911yescharacteristic
936C2×C22⋊C4C23×C1911yescharacteristic
937C2×C22⋊C4C23×C1911yescharacteristic
938C2×C22⋊C4C23×C1911yescharacteristic
939C2×C22⋊C4C23×C1911yescharacteristic
940C2×C22⋊C4C23×C1911yescharacteristic
941C2×C22⋊C4C23×C1911yescharacteristic
942C2×C22⋊C4C23×C1911yescharacteristic
943C2×C22⋊C4C23×C1911yescharacteristic
944C2×C22⋊C4C23×C1911yescharacteristic
945C2×C22⋊C4C23×C1911yescharacteristic
946C2×C22⋊C4C23×C1911yescharacteristic
947C2×C22⋊C4C23×C1911yescharacteristic
948C2×C22⋊C4C23×C1911yescharacteristic
949C2×C22⋊C4C23×C1911yescharacteristic
950C2×C22⋊C4C23×C1911yescharacteristic
951C2×C22⋊C4C23×C1911yescharacteristic
952C2×C22⋊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×C42—42no—
962C2×C42C23×C1911yescharacteristic
963C2×C42C23×C1911yescharacteristic
964C2×C42C23×C1911yescharacteristic
965C2×C42C23×C1911yescharacteristic
966C2×C42C23×C1911yescharacteristic
967C2×C42C23×C1911yescharacteristic
968C2×C42C23×C1911yescharacteristic
969C2×C42C23×C1911yescharacteristic
970C2×C42C23×C1911yescharacteristic
971C2×C42C23×C1911yescharacteristic
972C2×C42C23×C1911yescharacteristic
973C2×C42C23×C1911yescharacteristic
974C2×C42C23×C1911yescharacteristic
975C2×C42C23×C1911yescharacteristic
976#95C23×C1911yescharacteristic
977#95C23×C1911yescharacteristic
978#95C23×C1911yescharacteristic
979#95C23×C1911yescharacteristic
980#95C23×C1911yescharacteristic
981#95C23×C1911yescharacteristic
982#95C23×C1911yescharacteristic
983#95C23×C1911yescharacteristic
984#95C23×C1911yescharacteristic
985#95C23×C1911yescharacteristic
986#95C23×C1911yescharacteristic
987#95C23×C1911yescharacteristic
988#95C23×C1911yescharacteristic
989#95C23×C1911yescharacteristic
990#95C23×C1911yescharacteristic
991#95C23×C1911yescharacteristic
992#95C23×C1911yescharacteristic
993#95C23×C1911yescharacteristic
994#95C23×C1911yescharacteristic
995#95C23×C1911yescharacteristic
996#95C23×C1911yescharacteristic
997#95C23×C1911yescharacteristic
998#95C23×C1911yescharacteristic
999#95C23×C1911yescharacteristic
1000#95C23×C1911yescharacteristic
1001#95C23×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
1030C19#3683811yescharacteristic, direct product factor, Sylow
1031C24C24×C1911yescharacteristic
1032C24C24×C1911yescharacteristic
1033C24C24×C1911yescharacteristic
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4C24×C1911yescharacteristic
1059C22×C4C24×C1911yescharacteristic
1060C22×C4C24×C1911yescharacteristic
1061C22×C4C24×C1911yescharacteristic
1062C22×C4C24×C1911yescharacteristic
1063C22×C4C24×C1911yescharacteristic
1064C22×C4C24×C1911yescharacteristic
1065C22×C4C24×C1911yescharacteristic
1066C22×C4C24×C1911yescharacteristic
1067C22×C4C24×C1911yescharacteristic
1068C22×C4C24×C1911yescharacteristic
1069C22×C4C24×C1911yescharacteristic
1070C22×C4C24×C1911yescharacteristic
1071C22×C4C24×C1911yescharacteristic
1072C22×C4C24×C1911yescharacteristic
1073C22×C4C24×C1911yescharacteristic
1074C22×C4C24×C1911yescharacteristic
1075C22×C4C24×C1911yescharacteristic
1076C22×C4C24×C1911yescharacteristic
1077C22×C4C24×C1911yescharacteristic
1078C22×C4C24×C1911yescharacteristic
1079C22×C4C24×C1911yescharacteristic
1080C22×C4C24×C1911yescharacteristic
1081C22×C4C24×C1911yescharacteristic
1082C22×C4C24×C1911yescharacteristic
1083C22×C4C24×C1911yescharacteristic
1084C22×C4C24×C1911yescharacteristic
1085C22×C4C24×C1911yescharacteristic
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
1091C4⋊C4—22no—
1092C4⋊C4—22no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C42—22no—
1166C42—22no—
1167C42—41no—
1168C42—41no—
1169C42—41no—
1170C42—41no—
1171C42—41no—
1172C42—41no—
1173C42—41no—
1174C42—41no—
1175C42—41no—
1176C42—41no—
1177C42—41no—
1178C42#41×C1914yes—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23C19×H(5,𝔽2)12yes—
1200C23C25×C1911yescharacteristic
1201D4—82no—
1202D4—82no—
1203D4—82no—
1204C2×C4—28no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
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—44no—
1286C2×C4—44no—
1287C2×C4—44no—
1288C2×C4—82no—
1289C2×C4C2×#41×C1912yes—
1290C2×C4C2×#41×C1912yes—
1291C2×C4C2×#41×C1912yes—
1292C2×C4C19×2−1+412yes—
1293C22—22no—
1294C22—22no—
1295C22—22no—
1296C22—41no—
1297C22—41no—
1298C22—41no—
1299C22—41no—
1300C22—41no—
1301C22—41no—
1302C22—41no—
1303C22—41no—
1304C22—41no—
1305C22—41no—
1306C22—41no—
1307C22—41no—
1308C22—41no—
1309C22—41no—
1310C22—41no—
1311C22—41no—
1312C22—41no—
1313C22—41no—
1314C22C22×#41×C1911yescharacteristic
1315C22C2×C19×H(5,𝔽2)11yescharacteristic
1316C22C2×C19×2−1+411yescharacteristic
1317C22C19×#58511yescharacteristic
1318C22C19×#58511yescharacteristic
1319C22C19×#58511yescharacteristic
1320C22C19×#58511yescharacteristic
1321C4—22no—
1322C4—22no—
1323C4—22no—
1324C4—22no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4—41no—
1333C4—41no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—41no—
1338C4—41no—
1339C4—41no—
1340C4—41no—
1341C4—41no—
1342C4—41no—
1343C4—41no—
1344C4—41no—
1345C4—41no—
1346C4—41no—
1347C4—41no—
1348C4—41no—
1349C2—42no—
1350C2—81no—
1351C2—81no—
1352C2C19×#345511yescharacteristic
1353C2C19×#349211yescharacteristic
1354C2C19×#351211yescharacteristic
1355C2C19×#353311yescharacteristic
1356C2C19×#353311yescharacteristic
1357C2C19×#356511yescharacteristic
1358C2C19×#356511yescharacteristic
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×#2853C2semidirect
2. C19×#2853C2semidirect
3. C19×#2802C2semidirect
4. C19×#2801C2semidirect
5. C19×#2791C2semidirect
6. C19×#2790C2semidirect
7. C19×#2779C2semidirect
8. C19×#2772C2semidirect
9. C19×#2768C2semidirect
10. C19×#2765C2semidirect
11. C19×#2765C2semidirect
12. C19×#2765C2semidirect
13. C19×#2761C2semidirect
14. C19×#2750C2semidirect
15. C19×#2718C2semidirect
16. C19×#2718C2semidirect
19. C19×#2655C2semidirect
20. C19×#2651C2semidirect
21. C19×#2609C2semidirect
22. C19×#2601C2semidirect
23. C19×#2601C2semidirect
24. C19×#2594C2semidirect
25. C19×#2575C2semidirect
26. C19×#2570C2semidirect
27. C19×#2478C2semidirect
29. C19×#2334C2semidirect
30. C19×#2314C2semidirect
31. C19×#2296C2semidirect
499. #36838C19direct (N × H)
614. #2853C2×C19semidirect
615. #2853C2×C19semidirect
616. #2802C2×C19semidirect
617. #2801C2×C19semidirect
618. #2791C2×C19semidirect
619. #2790C2×C19semidirect
620. #2779C2×C19semidirect
621. #2772C2×C19semidirect
622. #2768C2×C19semidirect
623. #2765C2×C19semidirect
624. #2765C2×C19semidirect
625. #2765C2×C19semidirect
626. #2761C2×C19semidirect
627. #2750C2×C19semidirect
628. #2718C2×C19semidirect
629. #2718C2×C19semidirect
632. #2655C2×C19semidirect
633. #2651C2×C19semidirect
634. #2609C2×C19semidirect
635. #2601C2×C19semidirect
636. #2601C2×C19semidirect
637. #2594C2×C19semidirect
638. #2575C2×C19semidirect
639. #2570C2×C19semidirect
640. #2478C2×C19semidirect
642. #2334C2×C19semidirect
643. #2314C2×C19semidirect
644. #2296C2×C19semidirect
1030. C19#36838direct (N × H)

Maximal subgroups

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

subgroupindex
C19×#28532
C19×#28022
C19×#28012
C19×#27912
C19×#27902
C19×#27792
C19×#27722
C19×#27682
C19×#27652
C19×#27612
C19×#27502
C19×#27182
C19×#27082
C19×#27012
C19×#26552
C19×#26512
C19×#26092
C19×#26012
C19×#25942
C19×#25752
C19×#25702
C19×#24782
C19×#24762
C19×#23342
C19×#23142
C19×#22962
#3683819